SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 267, 1705, 596, 917, 602, 16862, 1031, 547, 581, 1454, 8273, 982, 621, 568, 1631, 286, 1809, 1310, 9561, 930, 10617, 267, 922, 2450, 8519, 936, 942, 269, 901, 2965, 5280, 1711, 513, 811, 3160, 3892, 540, 5763, 1851, 922, 4961, 780, 8334, 281, 27016, 267, 875, 1281, 9561, 513, 2112, 1118, 1004, 21950, 286, 14348, 333, 1405, 10888, 513, 2112, 3142, 811, 13284, 1127, 2496, 7692, 281, 4270, 267, 7705, 267, 950, 972, 3884, 1405, 513, 2462, 3532, 2197, 15042, 267, 2200, 1831, 3262, 856, 1851, 7864, 1004, 269, 3683, 1082, 1296, 267, 713, 2337, 1711, 513, 3510, 1141, 5763, 568, 3838, 7168, 14961, 1063, 11570, 780, 8334, 281, 13259, 267, 594, 1589, 594, 1174, 269, 3807, 899, 952, 649, 1185, 1152, 2947, 4773, 540, 14735, 3079, 540, 4557, 267, 1142, 1268, 1131, 1205, 513, 3677, 20105, 780, 7692, 281, 25999, 256, 1635, 2348, 1447, 8513, 267, 16862, 4121, 547, 4383, 922, 2200, 1732, 267, 3056, 547, 513, 6793, 4346, 543, 1514, 2640, 971, 607, 1863, 2069, 543, 3782, 780, 8334, 281, 26272, 267, 602, 781, 4241, 256, 594, 7058, 1373, 4130, 3085, 1405, 2141, 1611, 2348, 1447, 269, 6884, 267, 621, 6770, 2950, 6251, 1927, 780, 7692, 281, 4347, 17802, 256, 898, 11414, 721, 602, 676, 2324, 1927, 543, 1210, 938, 2200, 20617, 267, 649, 666, 1628, 2178, 7239, 543, 1491, 1416, 540, 835, 1776, 269, 5213, 1405, 7340, 547, 2671, 707, 16152, 14182, 267, 15502, 2496, 8334, 281, 670, 21036, 267, 9811, 267, 594, 786, 267, 6004, 269, 13786, 1043, 256, 2913, 781, 1451, 811, 827, 22778, 807, 1985, 942, 269, 8729, 585, 3450, 803, 827, 713, 267, 7585, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 667, 6951, 685, 1522, 543, 1379, 602, 26793, 519, 1004, 2676, 1492, 13207, 710, 602, 1500, 25734, 543, 5871, 28054, 2009, 282, 543, 454, 1492, 22640, 543, 6126, 2244, 9444, 540, 799, 616, 3501, 1107, 2943, 563, 9213, 779, 31087, 2752, 298, 5723, 14877, 12601, 2894, 667, 8780, 6020, 289, 28513, 540, 5763, 538, 16862, 568, 1813, 547, 5553, 540, 14603, 9396, 1846, 543, 2887, 689, 1390, 1522, 543, 1379, 912, 1607, 2376, 568, 5921, 547, 2490, 519, 3988, 685, 3007, 547, 519, 1249, 602, 519, 1524, 2389, 1248, 1500, 7862, 543, 10304, 2009, 547, 667, 6951, 538, 2489, 945, 20948, 543, 2221, 9468, 519, 6967, 851, 540, 16862, 563, 2005, 849, 11828, 1946, 519, 20636, 1004, 267, 945, 538, 476, 1220, 279, 2968, 1634, 585, 8876, 519, 3389, 5006, 3454, 11411, 538, 519, 1158, 267, 543, 538, 519, 1482, 1032, 729, 10805, 607, 968, 1492, 1838, 5006, 1004, 892, 538, 519, 1158, 269, 769, 3932, 519, 2376, 23083, 875, 7862, 543, 9111, 666, 581, 6192, 563, 268, 1306, 25728, 766, 540, 513, 1004, 543, 4332, 540, 513, 4182, 8525, 476, 273, 454, 268, 17197, 3645, 7771, 540, 519, 20636, 7706, 269, 1107, 476, 273, 454, 268, 634, 3356, 540, 20636, 9297, 269, 1107, 476, 275, 454, 268, 7849, 8249, 269, 1107, 476, 275, 454, 268, 7991, 5295, 269, 1107, 476, 276, 454, 268, 21846, 540, 519, 667, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9928, 663, 20680, 1014, 3933, 1105, 625, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 27397, 2276, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 519, 2295, 540, 519, 2357, 323, 656, 4104, 267, 972, 5030, 513, 2146, 540, 2831, 945, 17706, 13554, 32069, 269, 7324, 873, 941, 11427, 269, 2372, 871, 267, 513, 19023, 27436, 6177, 267, 543, 8834, 31594, 267, 606, 17615, 1762, 536, 22324, 609, 11995, 7279, 780, 3080, 32689, 5614, 6640, 267, 1310, 4374, 540, 29287, 7784, 13933, 23892, 741, 9194, 2619, 909, 5087, 267, 11427, 269, 2372, 871, 1336, 9887, 31314, 676, 519, 9350, 7297, 540, 519, 3911, 4979, 623, 944, 269, 4173, 17207, 1869, 16004, 519, 20015, 660, 540, 519, 10792, 12798, 543, 2282, 4413, 525, 689, 519, 32049, 1788, 3796, 269, 2701, 1185, 1044, 4743, 5051, 795, 527, 6670, 267, 8572, 547, 21199, 1055, 519, 796, 3553, 339, 1782, 8823, 540, 519, 3771, 8089, 3460, 780, 301, 5328, 532, 1200, 14221, 29916, 267, 8834, 5577, 6244, 936, 543, 4280, 267, 834, 3963, 865, 9602, 2221, 267, 15210, 3659, 8119, 1677, 799, 11427, 269, 2372, 871, 14452, 25473, 267, 834, 17764, 267, 8834, 267, 594, 993, 1175, 865, 13110, 689, 782, 602, 678, 3089, 639, 3361, 676, 1346, 4496, 28749, 269, 1358, 1118, 1250, 2295, 5198, 1169, 2582, 1554, 3010, 30681, 6743, 15826, 585, 513, 4090, 1354, 14775, 267, 834, 22818, 621, 1131, 948, 952, 3838, 707, 4145, 609, 1866, 269, 1284, 1223, 960, 1927, 547, 1265, 513, 10930, 8905, 610, 6148, 1256, 18609, 6004, 269, 26449, 547, 3717, 609, 519, 11206, 7027, 827, 4466, 2081, 547, 2149, 721, 1732, 1282, 938, 15322, 3010, 31807, 1195, 539, 676, 8834, 781, 2186, 1913, 267, 11427, 269, 2372, 871, 5433, 811, 29014, 982, 1352, 1185, 538, 2395, 269, 8625, 267, 789, 4956, 547, 5531, 782, 7255, 2818, 540, 519, 3662, 10806, 896, 519, 3504, 18073, 3529, 1107, 513, 3090, 540, 9322, 1369, 519, 18137, 269, 1306, 2093, 2095, 539, 11884, 1851, 3025, 1459, 267, 1142, 4759, 6444, 519, 2956, 540, 14379, 16175, 827, 12194, 543, 2591, 5185, 15217, 780, 1103, 519, 1439, 267, 7064, 547, 741, 10319, 3646, 267, 1007, 10092, 941, 4362, 267, 3283, 1447, 2505, 5034, 676, 21962, 269, 5015, 267, 519, 11206, 7027, 8815, 796, 29434, 3585, 547, 3715, 6870, 10851, 2059, 2442, 9194, 11507, 267, 4180, 2104, 5481, 9327, 1405, 723, 547, 3068, 2147, 829, 2812, 780, 5804, 1287, 27477, 267, 8164, 4896, 20402, 2436, 2792, 5963, 20974, 1229, 267, 519, 11317, 540, 519, 28816, 22281, 539, 519, 9661, 540, 875, 1930, 19929, 3366, 547, 1713, 2242, 267, 1818, 12599, 1447, 30217, 748, 585, 7925, 7068, 971, 607, 11427, 269, 2372, 871, 269, 1656, 1100, 267, 5103, 6849, 16854, 12918, 7620, 267, 11427, 269, 2372, 871, 7012, 1405, 1412, 520, 8897, 262, 2394, 6209, 3268, 2509, 6571, 3459, 2921, 3337, 269, 2991, 782, 267, 14344, 4250, 568, 855, 1480, 630, 528, 26624, 1070, 9117, 2390, 621, 19100, 11225, 10100, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 310, 895, 543, 18009, 543, 15237, 8206, 15234, 283, 1962, 285, 6546, 568, 1018, 519, 15265, 15963, 887, 541, 689, 6640, 547, 3781, 693, 11427, 269, 2372, 871, 543, 1200, 2828, 607, 789, 8038, 593, 741, 1279, 3460, 547, 741, 1753, 538, 519, 2484, 3345, 1547, 283, 1962, 285, 296, 798, 562, 1405, 4898, 602, 1352, 729, 1768, 1026, 569, 11552, 6470, 543, 8401, 607, 1352, 2893, 538, 519, 3911, 4979, 623, 944, 6158, 547, 8834, 31594, 6902, 798, 596, 26042, 17780, 593, 602, 5037, 666, 649, 9959, 602, 713, 4845, 568, 3020, 888, 300, 3464, 269, 2372, 871, 729, 693, 2653, 543, 711, 8401, 692, 8008, 16739, 912, 1341, 8133, 3248, 1341, 2005, 781, 7543, 547, 2161, 3248, 1341, 5591, 3248, 266, 5591, 282, 8528, 763, 5037, 5693, 19528, 602, 11427, 269, 2372, 871, 729, 1768, 1026, 569, 11552, 6470, 543, 8401, 269, 1924, 519, 4845, 6031, 1352, 729, 693, 8897, 543, 711, 8401, 568, 711, 3020, 14325, 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, 476, 278, 281, 11150, 585, 13229, 13379, 5004, 538, 6481, 10791, 10657, 692, 1103, 2221, 781, 1158, 267, 2597, 2359, 814, 1831, 513, 2565, 2460, 540, 2564, 2732, 3797, 1813, 547, 519, 2810, 9860, 540, 8377, 543, 2404, 1072, 4220, 269, 901, 3184, 12538, 883, 1585, 2994, 585, 2500, 2597, 2359, 267, 10771, 519, 2956, 540, 10128, 7059, 6484, 267, 2168, 2534, 267, 2623, 14842, 267, 543, 10531, 1416, 269, 1635, 3695, 891, 7516, 267, 713, 3184, 6663, 547, 16491, 3782, 4648, 543, 1053, 609, 2963, 2861, 2645, 547, 3895, 1279, 3856, 8171, 543, 2232, 2597, 5829, 2591, 780, 272, 269, 7195, 2331, 12594, 281, 25043, 540, 13245, 14856, 18963, 692, 763, 5748, 540, 1022, 3811, 2597, 2359, 4640, 6013, 538, 12561, 513, 7059, 4189, 4806, 602, 10905, 1898, 5567, 1247, 12145, 17811, 6981, 269, 13667, 532, 585, 513, 5672, 1258, 22021, 3892, 540, 5111, 476, 3393, 268, 4792, 260, 19346, 267, 476, 736, 268, 3374, 260, 3170, 267, 543, 476, 1015, 268, 3374, 260, 3940, 5849, 7850, 1648, 2157, 1510, 5009, 7050, 4616, 269, 3958, 267, 6220, 2898, 9274, 267, 10709, 5946, 267, 5613, 267, 5388, 267, 543, 2635, 9600, 7028, 2949, 1072, 543, 2893, 328, 1214, 2429, 519, 1554, 780, 320, 269, 2961, 8510, 6233, 281, 13216, 5288, 11822, 590, 1872, 1513, 454, 4467, 14658, 11950, 1336, 538, 2898, 9274, 267, 22053, 267, 543, 588, 8944, 5388, 2709, 13455, 1648, 5305, 543, 3152, 2893, 328, 1214, 3379, 547, 2241, 14836, 1459, 538, 26265, 267, 28916, 267, 543, 9268, 3536, 269, 3117, 11167, 1950, 19719, 849, 2488, 6775, 267, 8324, 267, 543, 6886, 2629, 585, 6099, 15629, 3252, 780, 321, 269, 19871, 281, 10866, 3683, 10829, 640, 454, 3682, 12888, 4249, 513, 4105, 1909, 538, 4509, 4887, 2527, 1282, 2597, 2530, 267, 5885, 4761, 1599, 267, 543, 15725, 14000, 10291, 269, 29760, 593, 1164, 7779, 2959, 971, 607, 16738, 267, 3165, 267, 5798, 267, 10683, 2472, 267, 10808, 267, 5452, 267, 543, 22053, 2636, 2043, 547, 2743, 741, 3232, 4170, 1510, 23494, 2810, 1608, 7595, 6981, 780, 322, 269, 674, 1846, 281, 22716, 1125, 24296, 18260, 7352, 7724, 454, 4407, 2698, 3170, 6981, 1058, 581, 9793, 267, 10438, 5667, 18260, 9600, 910, 3226, 4874, 12584, 18260, 543, 1395, 10494, 18260, 8677, 910, 3091, 3875, 2640, 267, 1519, 4824, 9025, 1072, 267, 4389, 6553, 267, 543, 8476, 5042, 8647, 269, 30459, 19146, 15606, 267, 14462, 3282, 267, 10808, 267, 5452, 267, 543, 9761, 3165, 883, 519, 2732, 8992, 2295, 1072, 543, 7028, 2597, 2359, 3646, 780, 323, 269, 12130, 1258, 19153, 281, 12192, 667, 543, 25289, 454, 28444, 1005, 6190, 25050, 22021, 6981, 910, 4481, 6171, 667, 543, 7513, 910, 8309, 547, 2949, 5642, 1072, 543, 949, 5351, 538, 2597, 5826, 676, 12018, 14031, 7939, 543, 10307, 269, 10783, 1881, 5144, 2472, 267, 21364, 16719, 267, 543, 25167, 24799, 4196, 607, 5140, 2959, 540, 891, 1898, 5567, 780, 273, 269, 8447, 11314, 281, 6715, 1537, 3281, 9426, 540, 13379, 13809, 543, 20904, 454, 16498, 2534, 4564, 513, 22294, 540, 2597, 2359, 7341, 7258, 3617, 8192, 12381, 269, 12056, 538, 20659, 5751, 899, 6972, 267, 10977, 267, 15203, 267, 543, 4187, 2866, 11942, 2799, 1648, 18820, 267, 10597, 7378, 8417, 267, 543, 28933, 10709, 1560, 2527, 1282, 5712, 540, 1608, 7595, 19231, 269, 20661, 17935, 585, 693, 2547, 476, 5611, 3764, 540, 9793, 27233, 610, 476, 4037, 3764, 540, 24526, 3635, 12353, 13745, 609, 1079, 4222, 2866, 7886, 829, 3018, 3035, 6099, 2164, 780, 274, 269, 10263, 3525, 2305, 9828, 281, 8490, 17151, 13717, 31346, 454, 19931, 2597, 2359, 11498, 3564, 6071, 1702, 11601, 282, 621, 19329, 13321, 5615, 4478, 7594, 3270, 267, 6712, 7306, 267, 3929, 4189, 6208, 267, 543, 25161, 19824, 269, 20074, 5042, 15515, 24173, 2553, 971, 607, 3804, 4259, 267, 1582, 15065, 13501, 267, 17003, 1852, 267, 1966, 9010, 1983, 267, 26739, 6604, 267, 543, 1514, 1489, 1949, 16877, 2550, 547, 9772, 4264, 6197, 2242, 20009, 547, 1279, 3856, 1967, 780, 275, 269, 9608, 1436, 543, 29114, 1819, 22604, 281, 18601, 10572, 20126, 454, 28403, 1944, 602, 1169, 3461, 19299, 2189, 4162, 19156, 519, 991, 585, 16419, 4485, 1369 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14033, 519, 10739, 540, 513, 4541, 267, 972, 616, 2947, 14965, 11466, 2798, 267, 519, 20698, 337, 836, 1014, 2798, 514, 799, 606, 20503, 1131, 10739, 519, 6129, 538, 6378, 5250, 609, 519, 4541, 563, 1103, 741, 7920, 1391, 547, 1265, 543, 2012, 1007, 17878, 267, 891, 3621, 23806, 2968, 18979, 543, 4652, 7037, 30347, 269, 634, 1034, 3551, 1259, 547, 9585, 713, 568, 998, 1612, 718, 1314, 9273, 5342, 538, 3648, 11397, 6753, 1282, 20718, 2053, 563, 8253, 1152, 941, 519, 1906, 15013, 1634, 7429, 1022, 2713, 3662, 267, 855, 789, 941, 865, 1114, 689, 1022, 824, 20641, 602, 621, 729, 2352, 547, 20559, 1454, 827, 741, 3347, 563, 12850, 267, 585, 1383, 267, 568, 5277, 538, 922, 8912, 267, 1483, 1533, 269, 634, 8367, 602, 519, 9992, 650, 729, 4922, 1031, 538, 8878, 676, 524, 518, 520, 3591, 2103, 971, 607, 5019, 665, 518, 520, 3591, 666, 3976, 581, 7318, 18105, 4094, 13443, 563, 3528, 519, 17623, 31350, 17675, 1358, 4019, 741, 19367, 538, 1360, 3309, 2081, 269, 7093, 2183, 269, 4985, 547, 22966, 17155, 23317, 269, 9400, 23575, 6312, 4459, 2160, 540, 7147, 693, 21388, 563, 7093, 2183, 282, 13053, 1014, 11707, 269, 4985, 282, 13053, 781, 4031, 540, 5163, 282, 13053, 781, 1101, 1876, 540, 5163, 269, 1290, 564, 543, 589, 3122, 1355, 21784, 8177, 5811, 6276, 589, 269, 3057, 2224, 330, 265, 8177, 267, 25204, 7615, 267, 18518, 267, 594, 563, 7072, 589, 12717, 596, 2479, 14478, 513, 15246, 5182, 538, 519, 3781, 6607, 286, 769, 2489, 267, 513, 15246, 5182, 568, 519, 2450, 540, 513, 2582, 10286, 1764, 630, 292, 264, 568, 513, 1599, 540, 519, 8006, 540, 519, 20503, 270, 1260, 564, 630, 323, 1040, 4985, 269, 1323, 3504, 882, 545, 540, 938, 3859, 1062, 779, 2038, 2395, 267, 26999, 340, 814, 2938, 811, 982, 5479, 1296, 540, 1686, 563, 763, 1655, 2963, 5267, 602, 1369, 476, 1015, 2929, 1296, 540, 938, 3859, 1062, 779, 5250, 267, 26999, 340, 779, 1459, 6377, 7998, 543, 7777, 9609, 941, 2907, 3964, 563, 293, 537, 8175, 2079, 814, 1082, 3621, 3156, 1107, 538, 6323, 267, 513, 3020, 25482, 266, 338, 710, 667, 10499, 729, 1031, 676, 12821, 1380, 538, 585, 25066, 31992, 540, 20503, 25057, 563, 7072, 547, 22263, 5811, 593, 28070, 28805, 269, 23134, 2160, 4964, 269, 589, 7874, 543, 3015, 1935, 547, 7311, 7194, 538, 519, 1483, 1158, 2060, 606, 8561, 593, 2565, 3206, 267, 634, 3203, 540, 4578, 5811, 281, 1215, 547, 8382, 20290, 7102, 7726, 4635, 9978, 10803, 6799, 1187, 543, 2189, 1806, 267, 10274, 3988, 998, 519, 3003, 1239, 4015, 543, 2079, 1184, 267, 543, 12857, 2596, 8579, 2035, 2059, 519, 1259, 563, 27735, 540, 20440, 538, 1272, 1557, 1455, 813, 1557, 476, 276, 9433, 540, 18459, 1557, 827, 476, 278, 13300, 540, 519, 1158, 939, 20960, 17485, 522, 329, 657, 2357, 9188, 2079, 1557, 3731, 4328, 519, 11156, 24563, 336, 1557, 2495, 5299, 543, 13594, 10388, 3594, 973, 8558, 552, 340, 1876, 3594, 1557, 827, 2828, 543, 14763, 561, 559, 5635, 543, 4334, 1079, 3197, 1557, 6760, 6429, 1557, 1557, 827, 1582, 4656, 2592, 2110, 2165, 6185, 5877, 0, 9617, 1317, 1945, 568, 1007, 1281, 1875, 20053, 621, 568, 9409, 610, 3046, 321, 4115, 269, 32665, 6694, 7449, 14571, 3683, 519, 3803, 4557, 27453, 7460, 1309, 269, 14840, 23764, 12034, 538, 891, 1585, 18125, 540, 12379, 18070, 2528, 12406, 585, 7114, 519, 581, 31600, 540, 12379, 18070, 2528, 607, 606, 703, 28424, 1895, 16042, 519, 5259, 6301, 1633, 676, 1216, 2864, 982, 936, 1633, 543, 10825, 689, 7532, 552, 563, 763, 5394, 25170, 540, 519, 8202, 610, 1624, 760, 1388, 1486, 21310, 1734, 267, 519, 5230, 17725, 2497, 543, 519, 3668, 540, 1022, 3020, 24060, 1646, 616, 6093, 3026, 6387, 11209, 2934, 269, 3816, 1622, 540, 1166, 2373, 543, 5642, 25576, 15664, 7405, 5815, 602, 16592, 19232, 18070, 812, 849, 2813, 2575, 563, 20776, 25236, 539, 676, 513, 3043, 2914, 14414, 11454, 476, 4792, 1535, 1535, 476, 1691, 3952, 543, 14059, 676, 513, 14869, 25047, 3118, 543, 513, 19856, 267, 713, 2497, 568, 1634, 607, 513, 19232, 18070, 547, 683, 18070, 1689, 936, 942, 689, 519, 28435, 6929, 5174, 629, 14125, 1014, 1990, 28999, 336, 584, 520, 340, 267, 2495, 834, 1729, 581, 6659, 909, 2437, 8754, 834, 320, 1164, 1747, 257, 543, 568, 519, 18634, 540, 3138, 1111, 1512, 543, 811, 15999, 1990, 24513, 584, 1846, 540, 2663, 5712, 563, 1692, 1705, 1272, 538, 519, 2250, 8428, 689, 2221, 286, 1548, 2856, 267, 1888, 267, 610, 1641, 568, 1271, 585, 596, 547, 1451, 286, 281, 769, 891, 17260, 267, 1004, 3459, 8105, 267, 2679, 8628, 24181, 267, 1818, 1732, 2645, 543, 7802, 267, 543, 3384, 4123, 543, 23477, 563, 18773, 562, 2345, 8087, 512, 5407, 513, 4622, 945, 20595, 513, 13862, 540, 2699, 530, 1157, 518, 22086, 269, 6168, 519, 1647, 540, 519, 8772, 26992, 267, 3182, 4919, 1603, 729, 2919, 543, 1651, 2213, 2390, 10036, 14342, 269, 3509, 13946, 10367, 4866, 547, 519, 6022, 2801, 565, 15402, 6520, 267, 543, 4266, 689, 827, 476, 1428, 267, 547, 476, 1789, 267, 1296, 3516, 563, 22746, 3889, 5815, 519, 6228, 540, 4628, 2919, 267, 18756, 2146, 1272, 607, 2038, 607, 519, 15795, 543, 18749, 26992, 645, 269, 769, 519, 5664, 19232, 18070, 1974, 267, 14178, 689, 827, 476, 3583, 267, 547, 476, 3374, 267, 1296, 3516, 267, 812, 781, 2645, 4824, 269, 634, 1034, 10565, 2963, 538, 21157, 814, 2097, 689, 513, 3135, 4557, 5195, 22070, 540, 13243, 538, 519, 654, 14508, 679, 9539, 520, 18860, 267, 799, 814, 2016, 519, 2012, 834, 301, 520, 18860, 1014, 257, 547, 519, 2528, 563, 2005, 568, 2009, 602, 891, 3889, 941, 13026, 585, 851, 540, 519, 1032, 267, 543, 538, 1651, 2211, 4365, 16592, 19232, 18070, 812, 8120, 547, 1010, 13946, 563, 763, 1646, 540, 6683, 267, 610, 8105, 267, 1282, 519, 32665, 1974, 1185, 513, 16854, 1198, 593, 1480, 2486, 269, 1717, 267, 2963, 540, 8101, 11175, 538, 12907, 5956, 1152, 609, 519, 12614, 540, 519, 631, 537, 3122, 1014, 2528, 2073, 1765, 2412, 267, 7460, 11484, 31531, 5219, 547, 607, 519, 5664, 19232, 18070, 563, 7197, 1004, 540, 2539, 7121, 4300, 4705, 547, 713, 1007, 6044, 540, 13221, 1247, 1082, 1004, 540, 2362, 6688, 5156, 602, 13221, 1058, 581, 16701, 5344, 1317, 540, 922, 3020, 3046, 8663, 545, 543, 9409, 1145, 563, 2467, 616, 1079, 2596, 6436, 281, 634, 8798, 540, 6683, 3366, 547, 519, 12306, 1272, 269, 901, 2619, 729, 4553, 676, 5245, 267, 1454, 540, 27584, 4997, 267, 1454, 540, 519, 17113, 519, 2484, 5087, 543, 5045, 663, 2694, 540, 4427, 25781, 4000, 563, 1432, 786, 594, 581, 2111, 547, 798, 286, 281, 634, 14897, 766, 540, 519, 1226, 573, 543, 1698, 9068, 7633, 689, 519, 3655, 26915, 31174, 720, 543, 540, 5452, 540, 519, 16907, 698, 514, 19687, 1920, 689, 519, 27386, 31174, 720, 267, 607, 1134, 607, 606, 2333, 538, 519, 1297, 540, 16537, 778, 3930, 267, 782, 2921, 1747, 1309, 563, 763, 20195, 22057, 1520, 2779, 720, 1306, 4330, 1657, 267, 519, 32665, 2085, 729, 6913, 2484, 4505, 538, 20195, 14901, 982, 11992, 269, 1452, 4525, 941, 711, 20651, 676, 20133, 558, 1227, 2413, 3425, 2394, 476, 1789, 267, 22680, 563, 763, 32665, 4838, 729, 835, 540, 519, 7887, 7432, 2798, 538, 1686, 269, 9861, 513, 2864, 2571, 4496, 267, 7601, 729, 711, 513, 10565, 6454, 936, 6149, 585, 519, 13167, 540, 2645, 543, 9604, 269, 16217, 1122, 518, 267, 6902, 661, 269, 32665, 15873, 6168, 5295, 17004, 563, 27269, 519, 4666, 941, 954, 1042, 538, 1804, 4859, 30660, 267, 543, 693, 824, 2053, 4703, 941, 1212, 332, 730, 543, 519, 3788, 5116, 538, 16887, 1500, 20341, 2712, 985, 543, 954, 1042, 538, 23572, 269, 1411, 666, 946, 5295, 17004, 269, 1358, 13556, 2059, 519, 6821, 540, 23572, 1629, 21749, 1919, 899, 2196, 532, 269, 634, 849, 2877, 547, 3082, 741, 11326, 547, 519, 2199, 2200, 602, 941, 2139, 7868, 1646, 540, 32665, 2528, 5526, 547, 723, 1044, 513, 16795, 2864, 982, 513, 6727, 1689, 563, 22025, 6670, 568, 1776, 3693, 602, 2306, 519, 6580, 540, 519, 32665, 16609, 269, 769, 930, 4525, 267, 519, 5920, 540, 20341, 568, 2808, 513, 3090, 540, 519, 32665, 267, 855, 713, 10206, 2306, 519, 2165, 32665, 563, 24109, 753, 723, 5030, 998, 1082, 971, 9979, 267, 799, 1491, 1747, 936, 5215, 540, 1296, 269, 2755, 30961, 5712, 1500, 6668, 811, 2352, 267, 32665, 6520, 269, 4438, 519, 19232, 18070, 2085, 267, 585, 519, 1101, 942, 538, 1686, 267, 3020, 2527, 1790, 3174, 540, 4496, 2645, 543, 9604, 563, 13828, 6683, 543, 13137, 630, 1729, 1491, 1079, 7986, 1806, 1040, 19232, 18070, 5288, 32665, 910, 3487, 476, 273, 269, 19232, 18070, 543, 32665, 6520, 269, 634, 19232, 18070, 6520, 547, 519, 32665, 6520, 7960, 7494, 936, 942, 910, 19232, 18070, 5288, 32665, 4367, 269, 3509, 2242, 543, 2585, 885, 7018, 1063, 519, 1079, 21971, 563, 763, 20167, 626, 18152, 22184, 7475, 693, 519, 1482, 942, 607, 519, 3140, 19232, 18070, 11270, 630, 8619, 476, 1015, 267, 1700, 7460, 264, 609, 519, 3803, 18956, 540, 12620, 2747, 936, 1034, 540, 2342, 543, 269, 12379, 18070, 1974, 630, 332, 384, 499, 345, 21485, 16745, 331, 384, 361, 628, 21485, 384, 361, 330, 264, 610, 5664, 12942, 6520, 267, 1974, 538, 1480, 1646, 1063, 519, 1439, 540, 519, 19232, 18070, 1974, 543, 519, 4098, 540, 519, 32665, 1974, 563, 2005, 3459, 609, 519, 1439, 540, 519, 2063, 30961, 1974, 936, 476, 1015, 267, 1296, 3516, 543, 7960, 883, 519, 32665, 1974, 6902, 713, 1689, 3238, 519, 16795, 29143, 1709, 540, 2371, 543, 269, 769, 519, 19232, 18070, 543, 32665, 21971, 1312, 1185, 930, 4990, 540, 6205, 610, 5718, 4352, 519, 32665, 16527, 1185, 513, 1950, 6896, 2229, 519, 19232, 18070, 5736, 1185, 513, 1895, 6205, 547, 1118, 519, 3664, 585, 519, 14316, 9967, 540, 513, 1507, 2179, 540, 1004, 563, 303, 1446, 18070, 547, 32665, 1689, 936, 942, 4828, 6185, 5877, 0, 13270, 276, 568, 513, 6939, 4919, 19474, 1599, 5690, 10123, 1634, 607, 968, 332, 20687, 1673, 580, 652, 6100, 901, 3568, 513, 5832, 540, 9704, 6383, 676, 1210, 513, 835, 17574, 814, 3107, 1062, 269, 24606, 2007, 3949, 616, 538, 1880, 2966, 547, 16102, 519, 8699, 540, 513, 3787, 540, 1249, 610, 2923, 543, 547, 13498, 952, 972, 616, 12381, 543, 2242, 547, 1022, 513, 851, 540, 513, 5048, 563, 300, 20687, 2007, 3949, 616, 6870, 835, 17907, 1676, 19474, 7207, 602, 1491, 4351, 13355, 5013, 543, 3142, 513, 6378, 1673, 4851, 19474, 1871, 563, 763, 3119, 4183, 540, 11022, 276, 568, 547, 5173, 513, 19474, 3902, 538, 25563, 269, 4634, 607, 519, 19474, 8984, 568, 547, 1205, 7161, 540, 5638, 543, 2132, 873, 609, 513, 2182, 543, 3728, 27480, 3787, 5569, 610, 19474, 3902, 269, 634, 1344, 602, 814, 1044, 8246, 676, 19474, 7207, 568, 5219, 547, 607, 513, 968, 332, 20687, 31865, 693, 519, 1482, 942, 607, 519, 7229, 19474, 3902, 568, 968, 332, 20687, 7558, 9731, 763, 11022, 276, 267, 1927, 609, 519, 6587, 19474, 3252, 267, 568, 4122, 8246, 538, 3395, 3059, 22782, 543, 5048, 19027, 9479, 267, 4994, 532, 7194, 538, 19474, 7515, 267, 16326, 23652, 7194, 267, 585, 9416, 268, 2745, 532, 267, 547, 4990, 543, 13498, 6119, 267, 543, 957, 607, 11974, 4548, 538, 16326, 26516, 7194, 13313, 563, 763, 11022, 276, 19474, 568, 1031, 547, 1118, 1978, 519, 8699, 540, 519, 7194, 540, 6054, 1813, 547, 519, 1249, 519, 11022, 276, 19474, 5690, 814, 513, 2189, 6073, 540, 5663, 519, 3160, 2360, 585, 519, 9838, 1305, 540, 5013, 269, 11022, 276, 3755, 616, 4847, 547, 6218, 513, 19474, 540, 519, 2707, 540, 519, 7194, 609, 519, 9241, 6383, 19474, 593, 519, 10278, 540, 519, 3561, 282, 713, 2636, 519, 1268, 547, 1449, 952, 519, 19474, 568, 796, 15842, 5287, 543, 796, 5306, 1229, 563, 15447, 602, 11022, 276, 19474, 3884, 1405, 14238, 855, 1034, 2500, 513, 31937, 540, 519, 2016, 3403, 269, 3958, 267, 596, 991, 547, 1491, 883, 2272, 602, 621, 781, 2484, 513, 835, 17907, 1676, 6073, 267, 799, 1797, 519, 7082, 568, 711, 4847, 547, 6587, 513, 6383, 11022, 276, 19474, 547, 1205, 1732, 519, 8076, 5569, 563, 5978, 11022, 276, 25300, 31098, 1568, 3842, 4946, 519, 5569, 593, 519, 3845, 7677, 1639, 267, 543, 938, 11022, 276, 20303, 786, 12337, 707, 5013, 519, 6165, 540, 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 ]
[ 2348, 547, 6494, 2371, 610, 5452, 267, 972, 616, 930, 1271, 1919, 547, 1832, 538, 2247, 269, 1411, 3513, 1265, 811, 827, 621, 1934, 563, 293, 23459, 1125, 30597, 910, 950, 267, 875, 543, 609, 1018, 286, 634, 1655, 476, 1015, 18168, 454, 7775, 577, 1749, 616, 519, 4998, 3750, 2275, 520, 7815, 585, 519, 9486, 650, 267, 519, 2545, 935, 344, 543, 538, 519, 4677, 269, 9603, 547, 519, 2189, 4763, 540, 519, 2030, 1920, 267, 1082, 22254, 616, 11842, 875, 28722, 6992, 1944, 1568, 547, 1683, 519, 5810, 609, 519, 1697, 5567, 563, 29493, 561, 559, 659, 910, 865, 596, 29915, 622, 2025, 561, 559, 659, 4054, 454, 299, 559, 30929, 798, 711, 8209, 723, 547, 581, 2759, 585, 513, 1279, 942, 269, 769, 1249, 267, 2523, 519, 3552, 1790, 1503, 11717, 908, 15013, 616, 3226, 32550, 26448, 543, 1332, 18932, 269, 1717, 267, 607, 789, 1332, 4587, 267, 519, 2371, 786, 581, 856, 326, 3497, 543, 1831, 24052, 269, 1717, 267, 609, 519, 1318, 29915, 566, 2759, 267, 519, 16036, 7772, 666, 581, 17468, 563, 13014, 1544, 1562, 4832, 344, 454, 24456, 10833, 616, 10416, 4986, 811, 982, 2095, 8538, 2644, 538, 20538, 269, 634, 3017, 547, 2095, 8538, 2644, 568, 5631, 602, 596, 666, 3560, 513, 1544, 614, 267, 693, 707, 1378, 7662, 267, 9170, 543, 2322, 909, 267, 610, 666, 13793, 563, 24456, 519, 8768, 13607, 454, 288, 8768, 512, 893, 568, 11684, 269, 634, 3099, 540, 6272, 4805, 2488, 513, 1434, 4493, 585, 15603, 519, 9345, 1404, 609, 519, 2371, 269, 589, 8768, 512, 893, 568, 5078, 585, 519, 2545, 935, 344, 610, 519, 1768, 15869, 267, 5654, 1434, 538, 519, 4395, 13452, 267, 666, 4196, 607, 513, 7406, 543, 1454, 811, 563, 24456, 8768, 10833, 267, 2030, 8768, 4216, 454, 7661, 5614, 568, 1934, 256, 634, 4054, 616, 7444, 7432, 3039, 543, 519, 803, 27595, 616, 4742, 2479, 811, 10477, 269, 1656, 609, 519, 12625, 540, 5614, 267, 543, 519, 2810, 9000, 540, 3781, 8389, 7370, 267, 1004, 616, 2324, 2182, 1586, 538, 519, 10651, 563, 295, 4474, 11127, 910, 513, 8768, 28551, 2429, 519, 1032, 454, 25444, 6272, 741, 4677, 519, 1259, 789, 899, 621, 269, 1656, 3025, 786, 581, 3860, 593, 741, 2545, 935, 344, 610, 1768, 15869, 607, 1134, 269, 28259, 532, 3054, 609, 5810, 543, 824, 2371, 568, 849, 513, 8799, 543, 21363, 3364, 563, 296, 337, 3419, 566, 540, 8768, 10833, 454, 23044, 619, 538, 8768, 10833, 1419, 723, 547, 581, 530, 23926, 3232, 1317, 789, 3668, 519, 1463, 3761, 689, 519, 3037, 610, 519, 2139, 3037, 568, 1360, 3908, 543, 3976, 519, 1216, 18493, 919, 3533, 543, 568, 12842, 676, 519, 2371, 538, 1100, 942, 563, 5522, 1218, 609, 3043, 9044, 593, 3762, 910, 602, 2337, 454, 19669, 9044, 593, 3762, 4386, 1312, 538, 519, 4677, 543, 538, 2777, 17852, 269, 27718, 2208, 666, 723, 1585, 3123, 543, 12153, 269, 901, 3043, 16005, 1419, 3029, 950, 621, 814, 1044, 986, 1456, 585, 513, 1279, 942, 610, 950, 2777, 17852, 723, 1044, 2016, 1932, 1454, 12555, 1216, 269, 2060, 519, 1318, 1935, 267, 2417, 7269, 666, 581, 30396, 15286, 563, 7230, 8221, 1315, 17819, 519, 3529, 588, 2794, 910, 3790, 1341, 5777, 540, 519, 27414, 11489, 518, 454, 2304, 13311, 588, 2794, 666, 581, 6569, 538, 1082, 2081, 267, 1141, 519, 17819, 856, 1210, 513, 588, 2794, 2759, 614, 585, 713, 568, 2356, 519, 1655, 4781, 269, 1215, 547, 6023, 713, 3926, 543, 1018, 547, 2628, 3007, 547, 609, 713, 1505, 267, 596, 786, 1265, 856, 1934, 2336, 298, 636, 638, 520, 19380, 3762, 1315, 5810, 910, 799, 2337, 519, 737, 636, 638, 520, 3529, 454, 2467, 616, 1896, 4128, 1946, 513, 737, 636, 638, 520, 3529, 19380, 922, 3762, 543, 5810, 16638, 5162, 267, 513, 2530, 540, 3762, 568, 10355, 513, 2014, 585, 6161, 267, 538, 519, 4832, 267, 2705, 267, 3617, 4831, 1889, 9778, 1058, 581, 3144, 267, 6382, 519, 3529, 568, 3728, 24052, 269, 769, 713, 2796, 267, 2523, 519, 2837, 267, 519, 1769, 543, 519, 16213, 4559, 616, 547, 581, 13761, 563, 19465, 29127, 727, 11064, 585, 19348, 1299, 1071, 3054, 910, 8925, 454, 5522, 1218, 609, 29127, 2345, 267, 26759, 5072, 602, 3262, 11895, 267, 689, 799, 1007, 2371, 1332, 11992, 267, 666, 3533, 3262, 2429, 519, 4677, 5127, 543, 547, 519, 12543, 269, 1677, 2061, 713, 689, 8345, 267, 29127, 727, 7496, 1472, 519, 2030, 267, 585, 1383, 519, 2442, 19348, 267, 1058, 581, 1031, 267, 799, 519, 15908, 32529, 666, 849, 1628, 5128, 563, 11847, 31857, 2777, 2371, 910, 5528, 585, 2442, 3039, 2371, 454, 2252, 596, 899, 513, 2603, 540, 2371, 538, 519, 19887, 267, 596, 2356, 723, 513, 2603, 540, 4190, 267, 2523, 2462, 3039, 2371, 538, 519, 15174, 269, 769, 1840, 547, 519, 2834, 14450, 543, 6992, 2358, 267, 519, 1416, 267, 799, 1058, 581, 2944, 693, 2547, 1169, 1614, 547, 2185, 1296, 267, 568, 851, 540, 519, 1416, 1934, 269, 1924, 519, 1065, 31857, 540, 519, 2030, 711, 1152, 2337, 547, 1683, 811, 2230, 855, 849, 547, 4195, 3037, 609, 1007, 5567, 563, 293, 29623, 909, 12015, 2371, 910, 713, 568, 875, 596, 4688, 12015, 5346, 15013, 454, 6624, 2030, 18798, 616, 5432, 609, 519, 1966, 267, 585, 1383, 267, 950, 789, 2097, 1753, 689, 4832, 7477, 725, 610, 950, 519, 4832, 729, 1360, 3905, 543, 930, 2371, 538, 17428, 610, 15135, 723, 12015, 610, 18854, 22363, 269, 3767, 621, 781, 942, 547, 957, 3533, 547, 4688, 543, 25580, 519, 18854, 22363, 15013, 269, 898, 568, 2141, 4502, 513, 2119, 267, 2523, 952, 519, 5072, 1869, 4163, 1272, 563, 22134, 9792, 320, 19380, 3762, 1315, 1167, 1841, 5810, 910, 596, 666, 798, 602, 454, 22134, 9792, 553, 10508, 721, 609, 741, 10053, 2208, 543, 1397, 344, 5810, 269, 898, 568, 782, 519, 811, 30414, 950, 621, 25001, 3762, 543, 5810, 543, 5956, 547, 2357, 27204, 6352, 269, 1717, 267, 609, 519, 1318, 1702, 267, 519, 3289, 9792, 320, 666, 1419, 581, 11324, 4240, 1510, 2042, 543, 25623, 547, 18932, 2208, 1586, 563, 5522, 13589, 8768, 26633, 14350, 910, 2093, 585, 4832, 1315, 15489, 454, 1103, 4832, 543, 15489, 8768, 26633, 616, 1630, 4040, 538, 519, 4677, 267, 593, 2545, 935, 344, 543, 1768, 15869, 269, 8729, 547, 513, 3309, 3099, 540, 5546, 267, 7306, 543, 2326, 789, 4161, 519, 32529, 781, 5876, 269, 3367, 1934, 1018, 547, 1413, 585, 538, 519, 2298, 540, 2030, 911, 903, 269, 25873, 998, 513, 10477, 5044, 540, 2093, 585, 1367, 9544, 563, 24456, 4216, 25836, 910, 891, 2371, 616, 5078, 454, 2304, 8900, 267, 26927, 776, 2545, 935, 344, 538, 5162, 1281, 711, 723, 547, 581, 269, 12624, 7186, 814, 513, 3099, 540, 15470, 15033, 2545, 935, 344, 2371, 602, 1796, 856, 538, 519, 4411, 4005, 609, 513, 16560, 887, 2041, 543, 7168, 10943, 10449, 540, 2681, 269, 901, 5542, 6799, 5078, 2371, 547, 2030, 513, 1544, 614, 25836, 563, 290, 2086, 542, 267, 715, 20973, 267, 2274, 574, 330, 571, 583, 910, 16711, 6651, 454, 8867, 574, 330, 337, 7564, 17458, 267, 1286, 333, 725, 267, 1286, 333, 725, 910, 21603, 569, 5667, 1051, 15066, 2371, 602, 1082, 15908, 22254, 723, 711, 18808, 609, 269, 1717, 267, 952, 596, 1413, 513, 2370, 6251, 267, 3810, 4277, 2371, 602, 1869, 4383, 609, 519, 4440, 20125, 1416, 5528, 538, 519, 1158, 269, 0, 15239, 5570, 32477, 3044, 2203, 454, 1103, 7811, 9325, 6323, 267, 519, 1875, 268, 5570, 32477, 9208, 7844, 267, 5631, 1813, 547, 519, 3943, 22301, 1325, 664, 1230, 5886, 267, 3096, 1010, 1875, 5570, 32477, 9511, 547, 28433, 606, 10137, 540, 519, 9208, 7844, 547, 1331, 513, 9168, 1106, 540, 2489, 25536, 269, 901, 796, 2305, 10522, 513, 1906, 10148, 593, 519, 6724, 540, 519, 9208, 7844, 269, 7201, 606, 3606, 13429, 267, 1634, 607, 519, 834, 15927, 9390, 257, 8367, 267, 835, 540, 891, 10148, 11887, 519, 2527, 540, 519, 11612, 7714, 536, 657, 517, 547, 581, 1472, 476, 10204, 2983, 309, 267, 20354, 1369, 519, 2039, 540, 519, 14066, 16874, 1258, 7502, 3187, 269, 10765, 1855, 341, 520, 1258, 6901, 23868, 513, 11612, 7714, 2527, 540, 476, 15647, 547, 476, 11260, 2983, 309, 693, 519, 476, 4817, 260, 6015, 1377, 543, 2487, 6901, 693, 595, 30204, 2303, 513, 11612, 7714, 2527, 540, 1063, 476, 10219, 2983, 309, 543, 476, 14096, 2983, 309, 269, 1717, 267, 519, 5892, 17223, 11612, 7714, 2527, 729, 1336, 547, 723, 606, 5470, 267, 543, 811, 2487, 9273, 616, 538, 1899, 609, 519, 6027, 11612, 7714, 2527, 563, 268, 6348, 5570, 32477, 9511, 454, 268, 6348, 5570, 32477, 7061, 2361, 3069, 454, 268, 7033, 5202, 540, 10570, 543, 1016, 30061, 6323, 454, 268, 623, 1537, 2948, 1470, 267, 4856, 514, 928, 630, 1001, 274, 268, 6734, 268, 1691, 1040, 834, 6124, 2164, 5815, 602, 1007, 9325, 568, 513, 11612, 7714, 536, 657, 517, 2668, 595, 30204, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 21563, 1676, 267, 8614, 13860, 630, 1691, 4728, 476, 1001, 274, 1040, 834, 8512, 1834, 9672, 607, 11612, 7714, 536, 657, 517, 2668, 715, 6195, 5240, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 834, 295, 580, 7714, 18548, 517, 20570, 4762, 3305, 539, 2991, 4284, 27913, 5623, 14066, 16874, 1258, 7502, 3187, 4578, 693, 595, 30204, 2668, 670, 4428, 15838, 5403, 269, 476, 1691, 4728, 476, 1001, 274, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 26504, 540, 519, 15190, 1537, 9208, 7844, 454, 268, 1306, 2096, 696, 5328, 3106, 267, 5409, 613, 6248, 3252, 267, 543, 519, 11612, 7714, 2527, 538, 19706, 2962, 3631, 3097, 268, 1325, 664, 1230, 5886, 630, 1960, 275, 264, 6348, 5570, 32477, 9511, 269, 14288, 4964, 269, 9768, 476, 271, 268, 1321, 268, 6977, 279, 2568, 29930, 563, 268, 28612, 630, 1960, 276, 264, 834, 15239, 5570, 32477, 9511, 543, 4641, 2437, 808, 269, 4569, 269, 4284, 269, 476, 3607, 281, 476, 277, 866, 275, 563, 268, 28612, 630, 1960, 277, 264, 834, 24836, 6143, 13745, 609, 2339, 543, 519, 5748, 540, 1875, 5570, 32477, 9511, 2437, 2155, 269, 4569, 269, 4284, 269, 476, 14028, 281, 476, 11820, 563, 268, 28612, 630, 1220, 277, 264, 834, 15239, 5570, 32477, 9511, 543, 6323, 2437, 454, 268, 28612, 543, 631, 269, 16205, 565, 2993, 267, 6348, 5570, 32477, 16387, 281, 17747, 29425, 543, 7763, 1161, 269, 1977, 19556, 5980, 630, 1220, 278, 1916, 268, 932, 4461, 539, 323, 710, 267, 589, 1421, 589, 269, 1230, 5886, 630, 1960, 277, 264, 834, 763, 19706, 2962, 6240, 2437, 2155, 269, 4569, 269, 4284, 269, 476, 9264, 281, 476, 14028, 563, 268, 932, 4461, 539, 323, 710, 267, 589, 1421, 589, 269, 1230, 5886, 267, 631, 269, 16205, 565, 2993, 630, 1220, 278, 264, 834, 24836, 6143, 543, 519, 9208, 7844, 609, 22011, 3626, 11544, 2437, 5917, 269, 634, 528, 269, 4569, 269, 4284, 269, 476, 1556, 281, 476, 4200, 272, 563, 268, 808, 675, 527, 267, 3967, 6953, 1421, 7338, 26689, 329, 1168, 24989, 267, 7338, 5576, 6686, 14982, 267, 543, 2441, 2684, 589, 269, 5153, 7315, 630, 1220, 278, 264, 834, 4002, 519, 1875, 5570, 32477, 3044, 2203, 2437, 2920, 320, 4284, 269, 2717, 517, 269, 645, 4343, 281, 476, 28760, 272, 268, 17168, 273, 563, 268, 5576, 6686, 14982, 267, 7338, 630, 1220, 276, 264, 17086, 689, 1230, 5886, 781, 9511, 269, 17976, 11872, 538, 8212, 476, 4792, 280, 267, 22219, 269, 0, 3528, 661, 269, 700, 269, 670, 32080, 267, 303, 269, 654, 269, 2961, 335, 10938, 267, 17556, 1597, 670, 269, 2051, 997, 2714, 267, 25405, 1408, 570, 269, 27223, 454, 288, 518, 19392, 585, 7177, 5640, 267, 476, 278, 628, 9990, 267, 568, 2693, 835, 540, 519, 1158, 779, 6305, 2619, 5931, 593, 7098, 19392, 269, 898, 3091, 13801, 2188, 540, 2653, 7840, 267, 6404, 609, 513, 1434, 4417, 547, 7098, 17871, 2856, 269, 901, 909, 3562, 15082, 4528, 814, 1044, 15428, 609, 1732, 27380, 543, 556, 23457, 1543, 1570, 547, 7520, 20194, 4974, 267, 543, 13408, 1007, 610, 6905, 22059, 538, 1114, 4105, 3334, 267, 13380, 547, 3834, 3205, 545, 3350, 267, 772, 16787, 779, 267, 543, 12985, 5714, 6384, 563, 268, 30216, 2413, 3252, 543, 1806, 602, 1489, 5640, 1294, 519, 5409, 15062, 1851, 3232, 4890, 1806, 540, 7098, 19392, 543, 519, 27115, 540, 7098, 17871, 2093, 547, 7098, 17871, 1374 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 297, 290, 313, 11085, 3198, 313, 7246, 298, 297, 15771, 5588, 300, 4811, 16165, 312, 310, 308, 297, 294, 304, 29369, 22076, 312, 7374, 302, 302, 312, 294, 30470, 294, 15598, 309, 298, 300, 297, 301, 299, 25605, 311, 18449, 313, 296, 5308, 313, 291, 30641, 313, 5588, 304, 9143, 2464, 293, 298, 2975, 309, 298, 9391, 20670, 29369, 21254, 29262, 293, 297, 10976, 289, 310, 3201, 289, 7894, 304, 296, 297, 23802, 298, 17614, 307, 12717, 308, 302, 311, 309, 16412, 293, 312, 312, 299, 289, 313, 291, 3951, 298, 303, 304, 296, 5308, 302, 297, 305, 311, 6573, 300, 309, 31813, 311, 293, 11085, 297, 302, 8008, 4306, 312, 298, 313, 293, 310, 12435, 297, 3036, 310, 312, 298, 13052, 291, 301, 7473, 305, 294, 12487, 307, 304, 297, 14701, 2177, 288, 30438, 8656, 297, 7838, 311, 23623, 293, 313, 297, 295, 5746, 312, 302, 297, 10135, 304, 300, 7473, 299, 6865, 294, 310, 300, 312, 301, 313, 301, 7709, 29369, 10157, 308, 311, 31304, 303, 297, 18199, 298, 311, 300, 313, 305, 310, 304, 309, 18199, 310, 310, 302, 313, 9143, 312, 7419, 28384, 311, 303, 8042, 308, 288, 308, 288, 311, 302, 304, 4932, 311, 297, 300, 23623, 7419, 8008, 313, 300, 294, 5263, 297, 308, 312, 305, 295, 311, 26950, 298, 313, 303, 8656, 11246, 310, 297, 312, 28903, 298, 298, 304, 307, 298, 312, 301, 311, 290, 3041, 308, 288, 310, 290, 304, 303, 289, 313, 12195, 297, 297, 2562, 309, 298, 293, 301, 304, 9143, 299, 313, 290, 310, 9281, 20003, 11070, 18199, 310, 9720, 8461, 298, 20911, 289, 12613, 29308, 14566, 313, 22003, 303, 308, 312, 296, 304, 20003, 304, 303, 11246, 313, 308, 30820, 9391, 298, 303, 308, 295, 289, 16775, 301, 310, 290, 312, 295, 294, 298, 6311, 23802, 16576, 3722, 20784, 295, 294, 309, 295, 2316, 10485, 297, 289, 10680, 9680, 311, 312, 304, 2969, 300, 297, 309, 11520, 4785, 10013, 5085, 311, 14899, 10157, 26714, 4696, 296, 25605, 295, 301, 311, 312, 2752, 298, 294, 304, 23802, 292, 297, 301, 17307, 304, 2752, 289, 6630, 303, 5308, 6865, 2839, 298, 296, 308, 310, 307, 5960, 31082, 295, 17162, 300, 313, 301, 9143, 292, 295, 298, 12396, 313, 294, 304, 298, 17307, 7876, 313, 311, 4696, 5308, 295, 301, 298, 5308, 31769, 2752, 293, 6195, 288, 313, 309, 12702, 311, 6579, 10813, 294, 313, 298, 5746, 31686, 4041, 297, 3722, 294, 313, 9680, 311, 10976, 309, 25712, 4488, 2975, 289, 8980, 295, 313, 307, 311, 291, 311, 300, 9391, 9391, 6630, 311, 6311, 19447, 304, 302, 304, 12487, 311, 17247, 299, 297, 4932, 29949, 4047, 296, 310, 19447, 4916, 10013, 311, 313, 291, 297, 302, 313, 14641, 313, 299, 309, 311, 309, 302, 292, 289, 18958, 307, 308, 311, 297, 3198, 295, 313, 297, 311, 20003, 298, 294, 312, 3633, 310, 20670, 304, 307, 313, 300, 309, 22218, 311, 305, 305, 311, 31082, 293, 10499, 297, 305, 309, 304, 7473, 3201, 16576, 7704, 9391, 311, 291, 10621, 311, 6311, 305, 311, 303, 311, 301, 2464, 31082, 293, 298, 300, 313, 15709, 29669, 311, 289, 313, 308, 15477, 289, 23354, 310, 17269, 29996, 301, 309, 13993, 302, 297, 291, 308, 288, 304, 6311, 300, 309, 299, 4353, 307, 311, 300, 298, 304, 4306, 20670, 308, 304, 311, 307, 297, 296, 2752, 294, 26214, 2839, 291, 309, 299, 30641, 297, 3722, 313, 302, 4916, 308, 293, 24174, 297, 293, 313, 306, 304, 9720, 312, 309, 302, 313, 303, 10499, 311, 291, 5960, 17307, 307, 313, 298, 312, 297, 7419, 312, 20003, 298, 313, 298, 9816, 15477, 292, 312, 295, 14566, 2316, 292, 298, 311, 10135, 299, 301, 313, 312, 307, 10976, 313, 30641, 30820, 5425, 6395, 25446, 289, 311, 12435, 14011, 309, 29151, 310, 298, 7704, 24427, 311, 313, 295, 301, 4596, 308, 7709, 311, 293, 4353, 298, 20911, 3722, 313, 297, 308, 295, 6224, 308, 312, 313, 297, 313, 4353, 288, 304, 309, 311, 291, 312, 13036, 313, 7876, 22333, 293, 296, 304, 3633, 3951, 8085, 4753, 299, 4811, 16775, 297, 304, 298, 310, 294, 297, 4785, 304, 22835, 312, 7419, 307, 311, 300, 313, 295, 297, 304, 11403, 313, 12487, 13748, 5588, 311, 293, 29669, 309, 297, 305, 297, 303, 293, 312, 291, 294, 9573, 304, 313, 31159, 296, 310, 304, 300, 8085, 7709, 303, 311, 2793, 290, 7473, 10498, 297, 312, 289, 8085, 32271, 13052, 301, 289, 293, 308, 304, 20067, 289, 294, 297, 13748, 295, 297, 296, 295, 19447, 312, 297, 14566, 293, 7246, 25897, 289, 297, 4696, 298, 9391, 301, 311, 26822, 297, 306, 294, 17025, 289, 311, 15771, 294, 304, 10499, 12283, 298, 15477, 15014, 28566, 298, 312, 297, 299, 313, 310, 297, 308, 312, 311, 299, 294, 4456, 15598, 293, 310, 3918, 303, 13967, 310, 299, 9391, 309, 7246, 294, 4785, 311, 307, 26214, 14899, 5746, 312, 304, 288, 310, 309, 295, 26980, 297, 304, 301, 304, 311, 307, 7034, 312, 301, 3633, 31686, 297, 305, 309, 297, 304, 30820, 5746, 297, 21197, 309, 297, 298, 10064, 313, 289, 8085, 298, 290, 2969, 9590, 313, 289, 311, 298, 299, 308, 310, 6224, 290, 17395, 308, 288, 298, 299, 5263, 289, 310, 4696, 15014, 312, 17269, 311, 7374, 298, 29552, 290, 312, 7968, 290, 304, 294, 10345, 296, 10621, 298, 5085, 17584, 20062, 295, 5960, 305, 295, 298, 310, 299, 10976, 313, 304, 291, 4696, 301, 310, 296, 304, 312, 293, 29369, 6865, 297, 295, 5746, 308, 16165, 298, 312, 5263, 308, 2316, 299, 289, 10813, 313, 294, 298, 297, 298, 304, 313, 300, 311, 291, 309, 24774, 313, 291, 298, 293, 311, 312, 300, 25835, 300, 16775, 305, 308, 293, 12678, 9331, 9169, 305, 2894, 304, 3918, 8025, 310, 296, 297, 291, 312, 5308, 8085, 298, 13748, 22849, 28474, 311, 306, 298, 294, 10064, 295, 294, 11965, 297, 291, 294, 22143, 311, 12569, 13696, 311, 15674, 9680, 296, 295, 304, 298, 310, 4041, 5960, 308, 297, 288, 28474, 294, 308, 5357, 312, 296, 312, 20302, 313, 311, 25539, 295, 310, 293, 11070, 299, 10157, 294, 313, 312, 291, 308, 288, 297, 310, 302, 31323, 304, 303, 310, 309, 295, 5263, 305, 313, 8980, 289, 293, 309, 32271, 2316, 300, 294, 311, 14875, 305, 309, 9915, 9654, 302, 3008, 8582, 294, 4696, 6630, 290, 23354, 308, 312, 20067, 10976, 299, 298, 300, 297, 17668, 313, 305, 3951, 310, 312, 298, 304, 297, 312, 13052, 8104, 10258, 313, 17584, 301, 297, 307, 293, 312, 305, 289, 294, 313, 10013, 312, 31769, 308, 312, 300, 297, 294, 2839, 304, 310, 17472, 304, 301, 313, 288, 7644, 306, 17247, 294, 4629, 291, 301, 8104, 7709, 22003, 308, 313, 302, 5085, 311, 307, 313, 313, 17247, 308, 295, 301, 4916, 311, 298, 299, 310, 5495, 293, 312, 18199, 307, 308, 293, 11586, 300, 294, 310, 293, 10292, 7838, 301, 6347, 311, 300, 8008, 10499, 310, 9169, 32602, 313, 17928, 2464, 302, 312, 304, 309, 299, 313, 4596, 313, 306, 294, 11965, 23802, 302, 7034, 310, 309, 297, 289, 18444, 304, 310, 293, 311, 15288, 7644, 16576, 297, 18958, 311, 289, 312, 310, 296, 312, 310, 303, 304, 311, 10976, 10064, 313, 295, 313, 10861, 311, 288, 298, 311, 17928, 297, 11246, 291, 298, 305, 27426, 10933, 289, 294, 298, 7894, 313, 298, 14899, 290, 289, 8379, 5308, 306, 8656, 296, 5588, 290, 312, 299, 9720, 307, 310, 10292, 302, 297, 15674, 297, 312, 291, 3633, 7894, 297, 8042, 10258, 31769, 309, 310, 311, 296, 297, 294, 3008, 297, 312, 301, 310, 4916, 300, 10621, 295, 310, 299, 296, 22076, 309, 310, 310, 2969, 297, 300, 21923, 311, 307, 3036, 297, 308, 8104, 7473, 313, 297, 12710, 10485, 298, 294, 308, 310, 14011, 297, 10258, 308, 7495, 17307, 9169, 302, 311, 31159, 310, 2894, 8008, 11902, 312, 297, 299, 297, 290, 297, 312, 310, 290, 298, 2752, 309, 310, 294, 12613, 300, 313, 16730, 313, 313, 305, 313, 6020, 312, 305, 10013, 309, 2975, 297, 5746, 310, 23859, 7034, 295, 289, 15014, 2862, 308, 295, 309, 313, 309, 310, 15014, 27426, 298, 313, 289, 10258, 310, 14011, 313, 4953, 301, 309, 293, 309, 309, 9680, 300, 8042, 293, 298, 17472, 302, 312, 295, 309, 295, 13585, 310, 297, 21254, 6865, 294, 309, 11901, 312, 13612, 310, 309, 310, 301, 310, 18958, 12702, 20067, 313, 313, 309, 304, 31813, 312, 29369, 4811, 288, 297, 12710, 309, 31270, 313, 306, 304, 295, 24520, 24174, 11901, 313, 10013, 5495, 293, 6579, 2316, 7246, 313, 311, 11190, 298, 310, 313, 288, 2839, 4953, 310, 311, 304, 311, 298, 23859, 302, 11902, 5495, 16703, 4916, 13697, 17472, 6865, 311, 310, 296, 15121, 299, 5495, 26774, 308, 20062, 301, 19181, 25897, 8025, 301, 304, 10680, 21923, 311, 288, 12487, 16703, 9331, 307, 308, 30045, 2862, 310, 15121, 313, 303, 310, 15288, 295, 297, 19447, 292, 289, 308, 293, 291, 7495, 305, 297, 6224, 309, 312, 313, 21923, 15288, 296, 312, 313, 311, 291, 313, 309, 8025, 32271, 313, 305, 311, 295, 298, 17025, 312, 295, 22003, 8104, 304, 310, 289, 308, 28566, 297, 312, 294, 312, 13585, 298, 2207, 16704, 312, 28384, 11266, 305, 308, 293, 291, 6020, 292, 312, 313, 12396, 301, 309, 294, 2975, 312, 304, 7838, 311, 291, 6717, 301, 289, 313, 21397, 2752, 311, 310, 308, 5085, 310, 304, 15425, 298, 28475, 300, 298, 12788, 313, 15014, 4916, 297, 293, 7495, 299, 293, 9680, 290, 12717, 313, 311, 292, 295, 10499, 297, 297, 20003, 295, 308, 311, 313, 310, 307, 297, 12778, 297, 5183, 311, 2752, 297, 311, 289, 7473, 297, 311, 301, 297, 291, 312, 8150, 2177, 4932, 299, 300, 298, 10499, 313, 301, 5263, 290, 313, 311, 13585, 313, 303, 3198, 313, 311, 12396, 293, 14701, 4696, 12435, 15477, 311, 312, 295, 8016, 310, 8042, 12717, 296, 312, 7417, 294, 311, 308, 11902, 297, 291, 308, 9654, 2207, 4811, 306, 8016, 312, 311, 300, 298, 18510, 308, 302, 8042, 297, 299, 311, 304, 291, 311, 312, 288, 298, 12283, 309, 2894, 298, 312, 6865, 298, 297, 7709, 311, 298, 297, 305, 309, 2562, 2969, 20302, 312, 292, 313, 304, 30820, 304, 307, 14875, 298, 309, 24427, 294, 28940, 10157, 6224, 293, 2862, 310, 291, 7246, 310, 313, 294, 9816, 313, 311, 298, 29151, 304, 304, 293, 294, 304, 304, 293, 298, 310, 22333, 309, 312, 3041, 290, 289, 5588, 293, 297, 309, 16604, 28719, 312, 292, 4916, 15014, 311, 13612, 310, 290, 298, 293, 312, 308, 308, 311, 295, 8461, 304, 24746, 15598, 313, 303, 313, 10499, 297, 4456, 298, 303, 298, 293, 312, 295, 9391, 304, 297, 294, 298, 296, 9680, 2562, 298, 297, 299, 11403, 304, 311, 10135, 24520, 311, 301, 3041, 299, 311, 16787, 301, 29949, 298, 10976, 289, 7419, 29369, 304, 305, 309, 289, 294, 298, 290, 3041, 2862, 305, 8085, 310, 300, 311, 31323, 310, 311, 305, 305, 297, 301, 300, 313, 288, 313, 297, 312, 292, 31082, 299, 10013, 294, 301, 311, 305, 298, 24520, 298, 307, 289, 297, 13612, 6369, 298, 311, 303, 8016, 300, 16604, 289, 308, 312, 291, 301, 299, 300, 293, 4047, 308, 295, 289, 4696, 11085, 310, 312, 293, 4753, 311, 290, 10499, 14877, 297, 305, 311, 12195, 310, 312, 17239, 296, 5357, 303, 293, 298, 295, 289, 310, 297, 311, 22003, 307, 11586, 295, 293, 15477, 313, 289, 22076, 293, 2464, 309, 4811, 21612, 298, 296, 297, 3041, 22143, 298, 312, 301, 13993, 291, 312, 307, 293, 11862, 295, 294, 309, 298, 312, 297, 306, 8582, 5588, 309, 10998, 311, 309, 4840, 825, 2073, 476, 4037, 273, 271, 4297, 476, 1948, 476, 4281, 277, 275, 454, 0, 3698, 4990, 25225, 2187, 825, 1439, 815, 8771, 454, 825, 1247, 711, 1439, 912, 1038, 1439, 815, 6936, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 25225, 9984, 272, 2187, 2018, 952, 15358, 5157, 316, 285, 333, 4548, 5157, 266, 272, 14158, 3546, 512, 284, 333, 4548, 5157, 2639, 3546, 15358, 5157, 316, 815, 15358, 5157, 266, 272, 2639, 3546, 15358, 5157, 1341, 476, 272, 316, 815, 512, 454, 3546, 1439, 476, 815, 8771, 454, 825, 2132, 15358, 7531, 3698, 5044, 303, 1515, 11764, 25225, 2187, 825, 8173, 825, 2433, 6943, 15358, 281, 5903, 27776, 2639, 825, 2433, 337, 6943, 281, 703, 454, 825, 8173, 825, 2473, 815, 1592, 25225, 994, 825, 2473, 31699, 4590, 825, 2040, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 476, 274, 320, 14720, 1040, 1717, 267, 3379, 547, 654, 307, 8983, 267, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 4951, 1100, 3017, 538, 645, 3201, 717, 4211, 306, 293, 543, 595, 311, 12710, 272, 3940, 9830, 630, 8993, 269, 476, 274, 320, 14720, 1040, 6736, 519, 3668, 540, 513, 1599, 585, 14889, 268, 2420, 538, 7939, 540, 717, 4211, 306, 293, 543, 595, 311, 12710, 272, 538, 654, 307, 8983, 267, 19129, 1704, 320, 6629, 270, 6629, 8983, 2016, 17193, 547, 14889, 268, 2420, 1185, 2539, 595, 338, 325, 274, 11606, 3379, 547, 19129, 1704, 320, 6629, 270, 6629, 8983, 2016, 1852, 17193, 267, 855, 713, 3017, 729, 711, 19250, 1713, 269, 5047, 267, 595, 311, 12710, 272, 4082, 729, 13148, 8200, 593, 1312, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 267, 607, 621, 729, 2539, 538, 19129, 1704, 320, 6629, 270, 6629, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 630, 8993, 269, 476, 274, 321, 1040, 769, 4334, 547, 717, 4211, 306, 293, 267, 14889, 268, 2420, 729, 2629, 585, 14889, 268, 277, 2504, 538, 519, 5761, 267, 607, 1312, 17193, 547, 14889, 268, 2420, 1700, 339, 8972, 654, 307, 543, 19129, 1704, 320, 6629, 270, 6629, 8983, 1185, 19250, 1713, 20214, 538, 645, 3201, 14889, 268, 277, 11606, 476, 2190, 554, 1310, 3968, 630, 8993, 269, 476, 274, 322, 1040, 589, 2147, 4806, 729, 849, 4767, 609, 595, 12710, 274, 630, 8993, 269, 476, 274, 323, 1070, 1141, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 1185, 3648, 2539, 595, 12710, 274, 538, 519, 645, 3201, 5714, 693, 476, 2190, 554, 1310, 3968, 3379, 547, 1852, 8983, 269, 769, 519, 9000, 540, 14889, 268, 1704, 288, 267, 17193, 9243, 1436, 540, 14889, 268, 2420, 8507, 538, 513, 2417, 5786, 538, 14889, 268, 277, 543, 595, 12710, 274, 11606, 267, 11021, 513, 10421, 585, 1312, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 538, 713, 3210, 563, 6579, 268, 2537, 568, 513, 1883, 3815, 585, 519, 6668, 540, 8946, 1704, 2281, 267, 543, 3976, 649, 11567, 2436, 14889, 268, 2537, 568, 2838, 585, 14889, 268, 2420, 11840, 566, 538, 24155, 269, 634, 15632, 540, 14889, 268, 2420, 22328, 3340, 14889, 268, 2537, 267, 607, 14889, 268, 2420, 4082, 729, 6825, 569, 22887, 18050, 538, 19129, 2537, 320, 6629, 270, 6629, 8983, 630, 8993, 269, 476, 275, 320, 1040, 1284, 1985, 8947, 2436, 7245, 540, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 703, 7806, 2350, 515, 958, 476, 1321, 554, 1310, 3968, 609, 476, 272, 6398, 476, 9818, 18435, 308, 540, 918, 269, 16415, 324, 1223, 32433, 11940, 657, 531, 3984, 8878, 269, 4634, 693, 713, 2539, 9190, 26912, 4918, 267, 607, 5892, 4080, 267, 19129, 2537, 320, 6629, 270, 6629, 8983, 5701, 609, 6174, 1185, 2362, 11248, 24675, 538, 519, 5761, 3379, 547, 654, 307, 8983, 630, 8993, 269, 476, 275, 321, 1040, 9615, 609, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 3648, 4389, 9156, 762, 18435, 308, 538, 519, 5761, 693, 476, 2190, 554, 630, 8993, 269, 476, 275, 321, 1040, 5015, 267, 972, 729, 3648, 1447, 9190, 23425, 547, 519, 838, 22220, 538, 8983, 2016, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 29299, 630, 8993, 269, 476, 275, 322, 1916, 2026, 14889, 268, 2420, 305, 568, 6829, 538, 25853, 2281, 267, 649, 7318, 2436, 713, 568, 519, 3135, 540, 2962, 540, 21921, 5364, 14889, 268, 2420, 538, 519, 5761, 1210, 538, 2198, 10316, 1436, 585, 595, 343, 743, 272, 543, 519, 5702, 1644, 595, 343, 743, 273, 543, 595, 343, 743, 280, 630, 8993, 269, 476, 276, 1070, 607, 891, 6090, 723, 1044, 3254, 547, 581, 14931, 676, 14889, 268, 1704, 288, 538, 24155, 538, 17422, 3968, 1691, 267, 2190, 269, 654, 307, 8983, 4951, 595, 343, 743, 280, 31286, 538, 1312, 21572, 2281, 543, 31276, 6897, 25853, 2281, 630, 8993, 269, 476, 276, 1040, 19129, 2537, 320, 6629, 270, 6629, 8983, 4951, 1447, 28969, 538, 5761, 5160, 630, 8993, 269, 476, 276, 5148, 2705, 267, 7245, 540, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 519, 4999, 540, 14889, 268, 2420, 609, 14889, 268, 1704, 288, 21284, 10316, 1436, 6786, 585, 595, 343, 743, 272, 267, 595, 343, 743, 273, 543, 595, 343, 743, 280, 4082, 630, 8993, 269, 476, 276, 1040, 5047, 267, 14889, 268, 2420, 2126, 8507, 538, 2799, 31286, 585, 595, 343, 743, 272, 267, 595, 343, 743, 273, 543, 595, 343, 743, 280, 538, 19357, 1470, 548, 13423, 26375, 630, 8993, 269, 476, 276, 267, 3109, 21985, 1070, 6466, 7245, 540, 14889, 268, 1704, 288, 610, 519, 4999, 540, 14889, 268, 2420, 543, 14889, 268, 1704, 288, 2799, 4082, 538, 19357, 1470, 548, 13423, 26375, 607, 1134, 607, 538, 30218, 5761, 13423, 26375, 630, 8993, 269, 476, 276, 267, 12457, 21985, 1916, 2414, 8495, 519, 5444, 4082, 543, 21734, 2534, 540, 14889, 268, 2420, 538, 10856, 5761, 13423, 26375, 267, 649, 6594, 8701, 1242, 3119, 10856, 30439, 531, 25853, 2281, 630, 21587, 4488, 338, 1040, 19204, 941, 25623, 609, 476, 736, 23356, 270, 6447, 14889, 268, 2420, 543, 476, 1015, 23356, 270, 6447, 14889, 268, 1704, 267, 543, 595, 338, 325, 274, 3940, 11606, 729, 3648, 630, 303, 2999, 476, 271, 269, 4962, 264, 2799, 676, 519, 4999, 540, 14889, 268, 2420, 543, 14889, 268, 1704, 630, 8993, 269, 476, 277, 320, 1040, 901, 729, 849, 519, 2013, 609, 595, 343, 743, 272, 630, 8993, 269, 476, 277, 321, 1040, 1677, 5659, 5444, 4082, 538, 891, 2281, 267, 649, 5340, 2890, 6783, 2079, 269, 1703, 729, 909, 28832, 540, 1896, 3984, 8878, 6090, 267, 1519, 700, 322, 333, 273, 630, 16780, 5317, 9067, 5914, 514, 268, 273, 1070, 595, 343, 743, 272, 267, 595, 343, 743, 276, 267, 28522, 337, 630, 16780, 5317, 519, 4874, 1337, 6375, 15644, 6081, 13805, 264, 543, 595, 343, 743, 280, 630, 8993, 269, 476, 277, 322, 1040, 26100, 5914, 514, 268, 273, 568, 513, 3940, 1634, 547, 723, 513, 1599, 538, 17916, 4761, 3210, 998, 922, 2702, 547, 3524, 6856, 4401, 689, 9190, 7103, 971, 607, 18521, 615, 747, 807, 19546, 1839, 267, 2918, 563, 2414, 8495, 2436, 14889, 268, 2420, 814, 606, 21734, 1599, 538, 20117, 267, 649, 4294, 918, 269, 16415, 324, 3284, 1227, 547, 24211, 4488, 338, 602, 1185, 1044, 5910, 8972, 609, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 29299, 269, 14889, 268, 2420, 3648, 630, 303, 2999, 476, 271, 269, 4962, 264, 21284, 11318, 540, 918, 269, 16415, 324, 630, 8993, 269, 476, 277, 323, 1040, 901, 729, 8200, 593, 519, 4082, 540, 9067, 5914, 514, 268, 273, 607, 14889, 268, 2420, 1700, 8114, 1027, 11318, 729, 3648, 705, 5766, 730, 538, 24211, 4488, 4529, 6508, 689, 700, 322, 333, 273, 6629, 270, 6629, 8983, 3379, 547, 654, 307, 8060, 630, 8993, 269, 476, 277, 323, 1916, 294, 1090, 24308, 9190, 16415, 568, 1455, 538, 6375, 665, 20234, 668, 2213, 2043, 971, 607, 1418, 13003, 23700, 2767, 269, 769, 1931, 547, 1353, 14889, 268, 2420, 538, 713, 20165, 267, 649, 5833, 5439, 540, 645, 3201, 5714, 689, 5722, 5396, 945, 941, 5761, 13003, 23700, 609, 9190, 16415, 269, 4014, 1034, 5396, 1185, 11506, 595, 311, 12710, 279, 2157, 630, 320, 2268, 540, 3732, 8699, 1070, 9039, 1185, 1022, 1713, 3713, 762, 2157, 540, 14889, 268, 2420, 610, 14889, 268, 1704, 288, 630, 11045, 11915, 7305, 476, 272, 2228, 1040, 901, 729, 711, 9670, 547, 721, 538, 1769, 540, 519, 1249, 602, 782, 2043, 941, 9738, 593, 570, 1591, 6375, 657, 6269, 1833, 547, 2061, 18349, 540, 741, 1098, 680, 5896, 9641, 269, 1452, 1239, 616, 538, 4334, 547, 519, 11506, 838, 583, 636, 14889, 268, 1704, 288, 543, 14889, 268, 1704, 293, 2157, 4767, 1282, 28342, 14137, 553, 7098, 1872, 514, 6242, 5761, 3968, 538, 5396, 609, 2166, 10973, 27470, 945, 723, 3339, 570, 1591, 1599, 2764, 269, 2201, 519, 4493, 540, 891, 7422, 267, 649, 11567, 14889, 268, 2420, 4082, 1282, 713, 6121, 24308, 9190, 5761, 3968, 563, 2171, 6594, 4871, 539, 645, 3201, 5714, 5439, 689, 2043, 609, 2166, 10973, 27470, 18460, 513, 4791, 12615, 566, 609, 623, 269, 7098, 1872, 514, 6242, 3968, 543, 689, 1852, 2043, 1510, 2166, 10973, 27470, 269, 22702, 547, 519, 8060, 267, 14889, 268, 2537, 267, 14889, 268, 1704, 288, 543, 14889, 268, 1704, 293, 941, 3648, 11506, 538, 645, 3201, 5714, 540, 5396, 609, 2166, 10973, 27470, 630, 8993, 269, 476, 277, 324, 1040, 2986, 4063, 267, 1360, 2370, 14889, 268, 2420, 729, 9571, 538, 891, 5439, 630, 8993, 269, 476, 277, 324, 1040, 9122, 593, 519, 1249, 602, 538, 938, 10856, 16415, 2203, 267, 14889, 268, 2420, 2157, 941, 2362, 538, 5761, 5160, 982, 538, 645, 3201, 267, 649, 8179, 547, 3313, 2436, 14889, 268, 2420, 6114, 941, 11506, 538, 5761, 9726, 1355, 5160, 538, 3425, 269, 1284, 9678, 2281, 689, 1011, 5896, 554, 1791, 9726, 9136, 689, 2043, 609, 1439, 22533, 2166, 10973, 27470, 18460, 5761, 24328, 630, 333, 815, 476, 276, 1070, 538, 1840, 547, 796, 17126, 539, 1852, 5761, 9726, 9136, 689, 2043, 1510, 2166, 10973, 27470, 630, 333, 815, 476, 273, 1040, 22702, 547, 796, 17126, 539, 5761, 9726, 9136, 689, 2043, 1510, 2166, 10973, 27470, 267, 4744, 18620, 9726, 9136, 2281, 689, 623, 269, 7098, 1872, 514, 6242, 1700, 17126, 539, 5396, 609, 2166, 10973, 27470, 1185, 3648, 2799, 21245, 2504, 540, 14889, 268, 1704, 288, 630, 8993, 269, 476, 277, 325, 1070, 14889, 268, 1704, 293, 543, 14889, 268, 2420, 630, 8993, 269, 476, 277, 326, 1070, 543, 2504, 540, 891, 29299, 941, 25623, 609, 598, 4754, 10052, 514, 589, 630, 3519, 288, 1070, 513, 9848, 19817, 4710, 514, 602, 22262, 570, 9726, 22889, 18735, 630, 8993, 269, 476, 277, 325, 267, 326, 1916, 4322, 1239, 6542, 602, 14889, 268, 2420, 814, 513, 811, 2629, 1909, 982, 14889, 268, 1704, 288, 538, 11940, 657, 531, 3984, 8878, 543, 538, 938, 2203, 540, 8097, 9190, 16415, 269, 14889, 268, 2420, 4082, 538, 24155, 568, 14931, 676, 14889, 268, 2537, 267, 543, 15063, 540, 19129, 2537, 320, 6629, 270, 6629, 8983, 568, 2404, 609, 2799, 5761, 25853, 4082, 540, 595, 311, 12710, 272, 267, 595, 311, 12710, 273, 543, 595, 311, 12710, 280, 269, 5381, 547, 519, 3510, 538, 19129, 1704, 571, 6629, 270, 6629, 8983, 267, 14889, 268, 1704, 288, 729, 2629, 585, 519, 15632, 540, 717, 4211, 306, 293, 267, 513, 1883, 26273, 540, 11491, 592, 641, 334, 625, 529, 538, 3210, 547, 606, 11763, 4161, 1691, 267, 538, 519, 5761, 269, 1717, 267, 14889, 268, 2420, 729, 811, 1271, 982, 14889, 268, 1704, 288, 538, 15725, 17422, 14889, 268, 277, 543, 595, 12710, 274, 2504, 269, 5525, 538, 19129, 1704, 320, 6629, 270, 6629, 8983, 1397, 602, 14889, 268, 277, 543, 595, 12710, 274, 616, 4717, 514, 2299, 14931, 676, 1312, 8946, 1704, 1198, 832, 267, 11021, 602, 519, 5348, 1458, 4767, 609, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 538, 1480, 19357, 658, 25853, 2281, 538, 2474, 540, 5444, 4082, 568, 4143, 538, 519, 538, 24155, 4259, 607, 1134, 269, 16952, 2238, 540, 14889, 268, 2420, 711, 3838, 676, 14889, 268, 1704, 288, 941, 519, 1198, 540, 2810, 804, 517, 8328, 12451, 540, 670, 23813, 2281, 267, 607, 1134, 7393, 7816, 540, 17464, 572, 335, 527, 16773, 4187, 269, 1452, 2238, 540, 14889, 268, 2420, 949, 581, 2629, 585, 4509, 11064, 1599, 693, 25853, 7252, 269, 769, 1489, 540, 713, 267, 654, 307, 543, 19129, 1704, 320, 6629, 270, 6629, 8983, 602, 4607, 17193, 547, 14889, 268, 2420, 1185, 811, 4028, 9190, 23425, 3544, 540, 519, 5761, 3379, 609, 8983, 2016, 1852, 17193, 269, 769, 20117, 24211, 4488, 2090, 1397, 602, 513, 1883, 5444, 14931, 676, 14889, 268, 2420, 538, 519, 13423, 26375, 568, 9067, 5914, 514, 268, 273, 267, 799, 568, 2838, 585, 25853, 3984, 8878, 1996, 918, 269, 16415, 324, 538, 20117, 269, 901, 568, 5812, 609, 519, 1249, 602, 700, 322, 333, 273, 6629, 270, 6629, 8983, 616, 11630, 547, 1978, 12896, 24308, 4551, 267, 4470, 2390, 799, 521, 3187, 2684, 2803, 789, 2769, 1839, 267, 2918, 563, 13010, 267, 649, 1397, 602, 14889, 268, 1704, 305, 15202, 568, 7006, 839, 762, 585, 3984, 8878, 547, 513, 3119, 4161, 609, 631, 269, 21061 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14418, 5494, 2118, 630, 5002, 275, 268, 2735, 280, 1070, 606, 11234, 946, 540, 9066, 666, 723, 1271, 4539, 281, 834, 2171, 666, 7287, 1199, 10028, 585, 1082, 3983, 4128, 267, 799, 786, 31818, 519, 1184, 540, 9066, 269, 538, 1010, 12797, 563, 288, 6653, 543, 25644, 31844, 1367, 786, 11349, 513, 5402, 6870, 803, 540, 1866, 269, 6271, 2182, 2914, 22736, 4998, 626, 666, 3605, 519, 4316, 547, 1065, 816, 1010, 24421, 687, 543, 547, 3094, 513, 4049, 10841, 2045, 1143, 267, 1247, 5329, 606, 5140, 9637, 563, 1607, 1106, 540, 834, 313, 523, 2068, 257, 568, 711, 8966, 267, 8754, 519, 991, 585, 513, 21713, 4487, 269, 589, 27640, 1170, 2065, 1641, 786, 21707, 538, 519, 6264, 328, 846, 2528, 540, 922, 4162, 543, 1020, 606, 818, 5766, 766, 540, 25796, 7209, 2352, 547, 1489, 585, 1866, 269, 901, 2186, 540, 834, 313, 523, 2068, 257, 568, 711, 4686, 267, 8754, 519, 991, 585, 513, 21713, 14357, 269, 834, 0, 20055, 803, 1353, 585, 1250, 8950, 3163, 1362, 269, 594, 6557, 12758, 543, 1810, 1406, 1174, 563, 1103, 14621, 547, 519, 1101, 1906, 4374, 540, 11000, 267, 519, 2035, 540, 2168, 543, 9266, 3344, 540, 513, 3060, 941, 8268, 269, 7490, 2328, 827, 519, 2078, 1141, 596, 723, 3652, 689, 1585, 2516, 267, 3906, 267, 3549, 543, 2930, 3401, 4947, 1927, 543, 3384, 713, 1455, 5989, 563, 28097, 519, 1739, 912, 763, 744, 10485, 4704, 2203, 1107, 543, 1141, 519, 5169, 540, 1142, 4494, 538, 6935, 568, 1759, 538, 519, 681, 15598, 3786, 543, 20959, 3906, 269, 2311, 2547, 1331, 476, 272, 4704, 547, 8800, 543, 476, 275, 547, 519, 681, 15598, 1141, 621, 2232, 513, 7014, 1031, 593, 835, 540, 519, 6106, 269, 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 296, 3913, 528, 766, 827, 1455, 2068, 30189, 281, 3689, 2589, 616, 1419, 711, 3144, 12517, 454, 19324, 2403, 1282, 519, 4411, 1974, 267, 1279, 18835, 11522, 568, 1419, 711, 3144, 12517, 2614, 610, 568, 11911, 547, 606, 4540, 2770, 610, 513, 2241, 4411, 269, 1809, 519, 20286, 666, 849, 581, 3361, 676, 513, 5892, 1651, 9092, 1455, 2068, 281, 30189, 563, 763, 3791, 3056, 2014, 540, 2669, 5001, 454, 2252, 972, 568, 513, 1279, 18835, 11522, 538, 15489, 543, 5162, 267, 713, 568, 1419, 1813, 547, 519, 1249, 602, 3274, 519, 4761, 1062, 568, 711, 2178, 2614, 1282, 519, 4411, 1974, 543, 4061, 596, 723, 9575, 513, 2770, 610, 513, 2770, 6438, 3968, 269, 1809, 519, 20286, 666, 849, 5815, 5312, 30126, 17422, 2068, 267, 610, 30189, 630, 577, 3055, 30126, 17422, 2068, 1040, 4014, 713, 2068, 568, 519, 3791, 3056, 2014, 540, 2669, 5001, 1310, 513, 2295, 4323, 543, 8482, 267, 2687, 547, 4966, 267, 1702, 540, 519, 2551, 568, 1869, 8710, 5944, 1970, 563, 308, 660, 805, 762, 4576, 5012, 547, 11213, 2669, 952, 2451, 15860, 454, 7212, 811, 543, 811, 1004, 616, 7092, 689, 5312, 30126, 17422, 2068, 267, 799, 568, 2442, 569, 1634, 607, 15137, 518, 781, 11522, 610, 15137, 518, 781, 5761, 267, 1702, 540, 713, 2068, 568, 1869, 15372, 5944, 1970, 1851, 519, 2551, 267, 19230, 15212, 781, 5761, 12665, 563, 7712, 2312, 2589, 616, 1419, 16053, 543, 513, 4387, 568, 1419, 31570, 1360, 3735, 267, 3407, 942, 568, 4503, 267, 1317, 519, 4505, 519, 2068, 568, 5701, 267, 519, 3152, 519, 8458, 540, 968, 17380, 4771, 892, 30189, 2221, 563, 1607, 568, 540, 3844, 2956, 1317, 519, 2068, 568, 1651, 9092, 543, 267, 952, 2451, 15860, 267, 5012, 547, 606, 30748, 1944, 2669, 689, 3411, 6327, 563, 12648, 519, 1101, 23456, 12517, 454, 763, 14199, 4937, 540, 519, 22341, 5980, 585, 623, 12149, 1108, 267, 3331, 500, 25897, 267, 10021, 269, 17658, 11607, 2710, 345, 269, 3220, 269, 7137, 526, 700, 2086, 516, 19816, 267, 593, 519, 8317, 540, 2622, 30189, 4303, 593, 5437, 476, 2641, 267, 1202, 1235, 593, 519, 2956, 540, 2921, 519, 1101, 4191, 540, 30189, 971, 607, 1279, 18835, 11522, 12517, 543, 7487, 519, 4387, 563, 2026, 7150, 538, 513, 2754, 3948, 267, 519, 4527, 540, 513, 1297, 540, 1114, 1981, 2188, 849, 2306, 621, 2556, 547, 12172, 2436, 972, 568, 513, 30189, 563, 29128, 513, 1906, 1296, 3516, 267, 519, 9354, 3681, 941, 1869, 1360, 3908, 267, 538, 2487, 1296, 972, 723, 1044, 5359, 540, 1007, 9354, 4485, 610, 1256, 519, 4126, 540, 513, 14634, 538, 519, 2126, 540, 30189, 563, 4913, 267, 621, 568, 2141, 2629, 281, 519, 4505, 519, 2068, 568, 6444, 543, 5701, 267, 519, 1732, 519, 23567, 543, 2298, 540, 1272, 540, 1346, 4299, 563, 288, 11190, 2589, 666, 581, 519, 1101, 4191, 454, 306, 1584, 636, 267, 11522, 267, 26032, 540, 7362, 910, 519, 865, 10777, 589, 11190, 2589, 666, 581, 519, 1101, 4191, 540, 30189, 563, 4913, 267, 891, 3355, 2589, 616, 1419, 24735, 1242, 610, 11911, 547, 824, 968, 15132, 636, 560, 1734, 892, 610, 10108, 269, 22165, 3107, 568, 1152, 5594, 11658, 693, 519, 4098, 267, 26032, 540, 7362, 1152, 4386, 1282, 2168, 11851, 542, 563, 288, 10835, 602, 568, 25323, 609, 5220, 971, 607, 834, 2791, 616, 711, 538, 1434, 2783, 693, 519, 4090, 2668, 634, 1292, 10835, 540, 968, 322, 965, 5608, 2687, 547, 3220, 269, 700, 2086, 516, 19816, 19890, 1419, 24735, 1242, 563, 257, 4596, 11520, 568, 865, 1202, 573, 1190, 267, 1851, 824, 1919, 267, 1317, 519, 1101, 2589, 616, 1419, 711, 9228, 7157, 676, 519, 3461, 267, 6444, 543, 4061, 711, 28078, 547, 519, 4387, 2437, 1767, 519, 4387, 563, 19324, 2403, 538, 519, 4411, 1974, 267, 1279, 18835, 11522, 568, 1419, 711, 3144, 12517, 2614, 610, 11911, 547, 606, 3968, 543, 30189, 568, 4061, 711, 6444, 538, 942, 269, 4475, 267, 2550, 1058, 2141, 2995, 741, 4387, 827, 513, 10770, 11522, 563, 19324, 2403, 952, 519, 11522, 26251, 585, 811, 982, 5216, 4374, 267, 519, 15372, 30518, 1058, 8258, 563, 14532, 666, 581, 30281, 1524, 610, 11074, 454, 288, 2241, 17422, 1599, 1449, 267, 865, 10777, 838, 328, 668, 4479, 267, 666, 1683, 3407, 1344, 827, 519, 2009, 4527, 540, 30189, 563, 763, 2068, 1058, 9090, 581, 8995, 543, 5701, 950, 519, 2589, 616, 711, 2943, 24802, 1713, 269, 1924, 952, 519, 3461, 568, 2907, 2192, 267, 855, 666, 1869, 1412, 327, 728, 262, 519, 2589, 910, 849, 689, 5128, 910, 998, 21084, 2994, 563, 10303, 281, 634, 4505, 30189, 568, 6444, 543, 519, 811, 25191, 519, 3797, 267, 519, 811, 15028, 519, 1576, 269, 30189, 3112, 581, 23174, 267, 855, 519, 1576, 666, 581, 30281, 1524, 610, 11074, 563, 14611, 1981, 3815, 7296, 454, 15919, 1875, 23337, 758, 619, 616, 849, 4299, 267, 855, 281, 968, 10712, 3183, 568, 676, 2484, 519, 7887, 1981, 3815, 585, 519, 1646, 540, 30189, 269, 634, 5354, 540, 782, 30189, 2550, 616, 3742, 610, 5449, 21596, 267, 9232, 30161, 7134, 519, 5761, 11285, 700, 2086, 516, 19816, 563, 257, 2467, 616, 3875, 6878, 538, 10269, 8673, 602, 2014, 12982, 6547, 602, 3441, 519, 5761, 5160, 2437, 1767, 519, 4387, 563, 21893, 4679, 519, 2504, 540, 19357, 658, 22024, 593, 519, 835, 1688, 267, 543, 791, 4202, 519, 1582, 268, 2193, 22135, 7271, 540, 519, 7929, 8778, 593, 519, 824, 281, 4914, 6878, 666, 1100, 3476, 581, 18113, 6569, 267, 543, 519, 5761, 5160, 568, 10123, 8697, 2437, 1767, 519, 4274, 563, 257, 3719, 281, 3502, 1152, 3742, 855, 849, 12809, 7296, 666, 1291, 547, 30189, 30882, 10144, 689, 1981, 2516, 1058, 5077, 513, 5102, 3000, 6048, 689, 519, 2085, 540, 476, 2004, 454, 8448, 1981, 2188, 1331, 281, 2799, 7929, 3676, 538, 6689, 267, 5386, 7452, 5533, 267, 585, 1383, 689, 6808, 543, 2872, 267, 543, 824, 14107, 689, 2011, 543, 2825, 5533, 563, 7775, 849, 5533, 693, 519, 9036, 630, 1721, 1383, 6464, 538, 519, 15229, 2872, 610, 538, 1286, 7206, 15945, 267, 7452, 5533, 593, 4070, 4609, 267, 538, 12418, 588, 8712, 267, 538, 5599, 267, 607, 1134, 607, 1282, 13841, 543, 3595, 24773, 5109, 960, 267, 3092, 28593, 10144, 945, 7985, 689, 513, 3978, 267, 4686, 15110, 4524, 267, 519, 865, 10777, 13672, 268, 272, 268, 656, 527, 787, 1186, 514, 10638, 267, 616, 849, 693, 1164, 1981, 540, 30189, 563, 257, 2252, 596, 4866, 547, 513, 1981, 1895, 267, 1256, 952, 596, 798, 711, 723, 513, 5312, 11522, 267, 596, 1058, 2638, 609, 707, 5102, 3000, 6048, 693, 519, 5767, 689, 519, 2085, 540, 476, 2004, 2436, 596, 723, 30189, 4799, 4596, 11520, 5540, 519, 3003, 1560, 454, 257, 4596, 11520, 666, 849, 581, 1412, 817, 18620, 262, 609, 824, 5761, 3676, 269, 769, 30189, 2550, 267, 585, 1383, 267, 5761, 2860, 267, 17422, 27470, 267, 17422, 13119, 543, 7929, 4713, 2049, 811, 1419, 982, 609, 5761, 268, 11794, 9905, 267, 968, 30161, 7134, 700, 2086, 516, 19816, 563, 2026, 513, 1267, 267, 519, 2068, 5540, 519, 3003, 1560, 281, 9025, 3676, 267, 1164, 1973, 2604, 267, 3987, 22577, 267, 21404, 267, 855, 849, 17350, 267, 4887, 2530, 543, 2597, 2530, 616, 1851, 519, 4539, 540, 30189, 563, 257, 26045, 10108, 267, 2523, 4160, 543, 4965, 267, 799, 2333, 609, 519, 10335, 540, 519, 4576, 267, 616, 513, 7928, 13959, 540, 30189, 543, 849, 723, 513, 3978, 1764, 593, 519, 2298, 540, 1272, 2437, 3081, 700, 2086, 516, 19816, 563, 19324, 2403, 538, 519, 4359, 3942, 540, 519, 2068, 267, 538, 799, 2550, 616, 10010, 609, 4049, 26032, 540, 7362, 543, 991, 547, 581, 7683, 13859, 609, 5135, 998, 968, 19063, 531, 28994, 3121, 9731, 10214, 952, 519, 2413, 5985, 5135, 3457, 616, 606, 11999, 4434, 936, 519, 2250, 267, 519, 2550, 7985, 689, 519, 19231, 540, 741, 2039, 540, 5163, 543, 2962, 269, 901, 1419, 5012, 873, 547, 1514, 10072, 563, 2108, 301, 29569, 28994, 27909, 543, 5135, 3797, 5612, 1397, 602, 621, 568, 513, 12517, 2192, 1268, 269, 1656, 602, 4805, 5540, 1082, 4299, 1004, 607, 1360, 17173, 543, 588, 25634, 1944, 267, 9232, 338, 4660, 700, 2086, 516, 19816, 563, 19102, 1078, 2298, 540, 1272, 585, 2550, 454, 288, 755, 6319, 781, 17422, 12665, 849, 723, 1434, 3377, 281, 7064, 547, 1732, 1702, 540, 519, 1114, 3029, 540, 30189, 267, 1007, 1702, 543, 513, 4514, 1620, 540, 519, 1950, 3347, 540, 713, 2068, 267, 2413, 10368, 3681, 543, 1007, 6527, 543, 18913, 11257, 267, 30189, 2550, 666, 798, 1454, 1732, 2221, 543, 609, 3648, 1447, 17121, 2360, 616, 5701, 607, 1354, 563, 257, 10144, 945, 7985, 689, 30189, 723, 519, 1482, 2589, 267, 855, 1114, 3029, 540, 519, 2068, 2437, 6045, 700, 2086, 516, 19816, 563, 257, 4517, 713, 568, 4010, 1018, 2115, 547, 581, 6444, 269, 634, 1412, 2431, 3797, 262, 1590, 581, 1031, 609, 519, 1412, 2431, 4082, 8339, 1656, 649, 2811, 3257, 621, 1732, 543, 1732, 2221, 269, 9232, 454, 763, 1585, 9354, 3681, 267, 971, 607, 31067, 6646, 267, 5135, 3797, 267, 1875, 29554, 7244, 1489, 267, 17901, 547, 2569, 936, 19899, 3175, 540, 519, 9641, 267, 3092, 269, 666, 4061, 5051, 581, 1031, 1141, 789, 616, 1034, 3811, 563, 1607, 17990, 3407, 942, 267, 2427, 2360, 616, 14284, 543, 3790, 616, 10710, 269, 1656, 1034, 11932, 267, 519, 3461, 781, 2298, 540, 1272, 568, 3648, 2799, 269, 630, 611, 264, 0, 290, 28566, 301, 3370, 713, 3381, 6221, 267, 13886, 968, 19423, 17060, 2842, 3484, 779, 1379, 5108, 20489, 476, 272, 5479, 737, 2662, 538, 3624, 779, 808, 21628, 24175, 892, 1107, 2630, 568, 741, 6609, 563, 2026, 5607, 779, 1101, 21369, 2842, 1379, 1788, 1210, 8465, 9823, 6771, 2029, 267, 519, 19469, 1379, 5108, 4390, 540, 519, 23052, 784, 21369, 2842, 3484, 538, 3624, 779, 808, 21628, 24175, 19435, 20489, 476, 272, 5479, 737, 2662, 269, 898, 779, 2966, 547, 723, 519, 6771, 4390, 540, 476, 272, 267, 1911, 19251, 1177, 30476, 267, 543, 568, 4867, 519, 1158, 779, 4102, 4390, 21369, 20303, 6728, 5861, 28566, 301, 13334, 19305, 454, 294, 582, 513, 6085, 286, 23680, 707, 4555, 538, 519, 8292, 3296, 267, 2630, 269, 7490, 4063, 8292, 616, 15645, 730, 1354, 8313, 269, 0, 296, 729, 3168, 998, 519, 1857, 6389, 6337, 543, 1336, 713, 835, 540, 606, 7164, 28200, 538, 11908, 269, 898, 568, 5156, 621, 729, 3144, 538, 476, 6245, 280, 269, 898, 729, 851, 540, 654, 9950, 11065, 269, 13660, 289, 12251, 779, 2123, 4015, 267, 1818, 803 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22182, 3488, 260, 323, 14826, 262, 4939, 630, 9008, 4771, 25292, 4917, 2018, 952, 547, 6137, 25292, 2652, 476, 272, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 3832, 525, 525, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 29380, 525, 314, 12690, 27110, 263, 271, 267, 7003, 263, 3832, 525, 525, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 8640, 547, 6137, 25292, 2652, 476, 273, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 1889, 1846, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 16469, 314, 12690, 27110, 263, 271, 267, 7003, 263, 1889, 1846, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 8640, 547, 6137, 25292, 2652, 476, 274, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 557, 1375, 625, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 19787, 314, 12690, 27110, 263, 271, 267, 7003, 263, 557, 1375, 625, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 3116, 912, 3546, 3136, 454, 2018, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 5417, 4671, 25891, 6025, 25891, 267, 1582, 11519, 1348, 2020, 825, 1219, 4894, 4671, 25891, 4311, 2187, 1038, 1582, 22182, 3488, 273, 14826, 5073, 1038, 547, 25940, 815, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 454, 1038, 1247, 7003, 6025, 31463, 902, 2187, 2018, 1582, 11519, 1348, 2891, 12749, 335, 902, 1520, 4765, 14826, 5602, 2018, 1582, 11519, 1348, 19629, 339, 271, 269, 595, 30327, 14826, 5602, 2018, 1582, 11519, 1348, 4671, 31463, 902, 6025, 31463, 902, 267, 6936, 267, 6936, 994, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 2020, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 6025, 31463, 902, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 22182, 3488, 271, 14826, 5073, 3546, 1582, 11519, 1348, 3488, 19226, 1639, 9427, 547, 25940, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 577, 4069, 4917, 3546, 1642, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 5440, 4771, 14826, 15419, 1038, 952, 711, 7003, 6025, 31463, 902, 2187, 2018, 1582, 11519, 1348, 2891, 5591, 5440, 335, 902, 547, 4894, 14826, 15419, 825, 1219, 1039, 5334, 879, 576, 4311, 2187, 1038, 1582, 22182, 3488, 274, 14826, 5073, 1038, 14036, 25292, 815, 476, 271, 692, 1038, 1247, 14036, 25292, 11203, 476, 273, 912, 2018, 1582, 11519, 1348, 2891, 15675, 606, 4781, 24097, 333, 5602, 2018, 1582, 11519, 1348, 2891, 272, 269, 5410, 28397, 576, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 273, 269, 3143, 2859, 28397, 806, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 2018, 14036, 815, 15234, 692, 2018, 14036, 25292, 815, 4351, 27110, 263, 272, 267, 273, 994, 2018, 952, 14036, 25292, 2652, 476, 272, 912, 3546, 1582, 22182, 3488, 272, 14826, 5073, 3546, 1582, 11519, 1348, 4671, 31463, 902, 4433, 879, 806, 318, 1824, 994, 3546, 1582, 11519, 1348, 2891, 11767, 14036, 2012, 281, 19515, 3546, 14036, 815, 27156, 318, 1824, 314, 12690, 27110, 263, 271, 267, 7003, 4433, 879, 806, 318, 1824, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 14036, 20508, 994, 2018, 3116, 912, 3546, 1582, 22182, 3488, 273, 14826, 5073, 3546, 3136, 454, 2018, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 5417, 5334, 879, 576, 4433, 879, 576, 267, 1582, 11519, 1348, 2020, 825, 1219, 4894, 5334, 879, 576, 4311, 2187, 1038, 1582, 22182, 3488, 275, 14826, 5073, 1038, 27156, 815, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 338, 879, 806, 454, 1038, 1247, 7003, 4433, 879, 806, 2187, 2018, 1582, 11519, 1348, 2891, 306, 879, 806, 593, 519, 2427, 14826, 5602, 2018, 1582, 11519, 1348, 19629, 339, 271, 269, 595, 30327, 14826, 5602, 2018, 1582, 11519, 1348, 4671, 31463, 902, 4433, 879, 806, 267, 6936, 267, 6936, 994, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 2020, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4433, 879, 806, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 22182, 3488, 271, 14826, 5073, 3546, 1582, 11519, 1348, 3488, 19226, 1639, 9427, 27156, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 577, 4069, 4917, 3546, 1948, 23437, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 338, 879, 806, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1642, 27156, 314, 577, 4069, 910, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 14036, 14826, 15419, 1038, 952, 711, 7003, 4433, 879, 806, 2187, 2018, 1582, 11519, 1348, 2891, 5591, 27156, 547, 4894, 14826, 15419, 825, 1219, 8737, 318, 32061, 7272, 14040, 4311, 2187, 1038, 1582, 22182, 3488, 276, 14826, 5073, 1038, 1582, 11519, 1348, 2891, 306, 15471, 2685, 3773, 16741, 256, 315, 333, 5602, 1038, 1582, 11519, 1348, 2891, 272, 269, 5410, 1776, 623, 14040, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 273, 269, 2372, 527, 14826, 5602, 1038, 952, 7003, 4311, 269, 8063, 9131, 4650, 262, 4940, 335, 11170, 553, 264, 3436, 476, 272, 912, 2018, 1582, 11519, 1348, 2891, 274, 269, 17179, 623, 14040, 689, 1931, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 32007, 825, 1219, 1039, 318, 534, 1278, 7272, 14040, 4311, 2187, 1038, 1582, 22182, 3488, 272, 14826, 5073, 1038, 1582, 269, 8063, 9131, 335, 14040, 11172, 815, 1582, 11519, 5417, 7272, 14040, 4311, 269, 8063, 9131, 4650, 11172, 2020, 825, 1219, 16718, 15461, 8548, 664, 318, 5443, 340, 4311, 2187, 1038, 1582, 22182, 3488, 273, 14826, 5073, 1038, 952, 1582, 269, 8063, 9131, 26303, 11172, 912, 2018, 1582, 11519, 1348, 3488, 24576, 6707, 8242, 256, 315, 333, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 3488, 24576, 6707, 3773, 256, 315, 333, 17210, 825, 1219, 9337, 318, 4650, 4311, 2187, 1038, 2132, 454, 1038, 1582, 11519, 1348, 318, 4650, 318, 24105, 4590, 1038, 9041, 1348, 8217, 318, 7451, 4311, 994, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 1931, 6352, 815, 7003, 4311, 269, 7451, 264, 952, 1582, 269, 7451, 3116, 476, 271, 454, 1038, 3903, 815, 476, 271, 454, 1038, 1247, 3903, 11203, 476, 273, 912, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 1931, 6352, 994, 2018, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 9008, 4771, 25292, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1642, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 5440, 4771, 14826, 15419, 825, 1219, 2070, 318, 821, 318, 4650, 4311, 2187, 1038, 1582, 22182, 3488, 274, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 454, 1038, 1582, 11519, 1348, 2891, 8698, 2582, 11352, 14826, 5602, 1038, 1582, 11519, 1348, 8217, 318, 7451, 4590, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 1582, 22182, 2891, 260, 323, 14826, 257, 4939, 630, 577, 4069, 4917, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 5334, 17532, 318, 4650, 263, 577, 4069, 910, 476, 272, 994, 2018, 1582, 11519, 1348, 2891, 265, 476, 815, 1230, 13935, 29133, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 1262, 815, 1230, 13935, 623, 1251, 14826, 15419, 825, 1219, 2070, 318, 718, 318, 7451, 4311, 2187, 1038, 1582, 22182, 3488, 275, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 1582, 11519, 1348, 8217, 318, 7451, 263, 12148, 994, 1038, 1582, 11519, 1348, 2891, 265, 476, 815, 1230, 13935, 29133, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 1262, 815, 1230, 13935, 623, 1251, 14826, 15419, 825, 1219, 18419, 318, 4650, 4311, 2187, 1038, 1582, 22182, 3488, 276, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 9041, 1348, 8217, 318, 7451, 4311, 994, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1642, 1582, 269, 7451, 314, 577, 4069, 268, 272, 6540, 454, 825, 1219, 2312, 318, 718, 318, 7451, 4311, 2187, 1038, 1582, 22182, 3488, 277, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 1582, 11519, 1348, 2891, 5719, 8541, 20231, 2107, 10249, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 271, 269, 595, 30327, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 272, 269, 4762, 3305, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 2891, 7230, 8221, 782, 9753, 14826, 5602, 2018, 1582, 269, 7451, 815, 11713, 2018, 1582, 11519, 1348, 2891, 290, 548, 1563, 782, 3105, 9753, 14826, 15419, 825, 1219, 2845, 719, 4311, 2187, 1038, 1582, 22182, 3488, 278, 14826, 5073, 1038, 1582, 269, 7451, 815, 11713, 1038, 1582, 11519, 1348, 2891, 19868, 3101, 856, 14826, 15419, 825, 1219, 16718, 4311, 2187, 1038, 1582, 11519, 1348, 2891, 11767, 1062, 10957, 281, 19515, 1038, 1582, 22182, 3488, 10181, 14826, 5073, 1038, 1582, 11519, 1348, 2891, 3725, 18727, 26694, 5569, 14826, 15419, 0, 258, 256, 7090, 274, 7531, 3698, 1118, 318, 4486, 318, 1551, 19906, 2187, 825, 3193, 21223, 2211, 815, 3193, 19906, 994, 825, 1883, 318, 1551, 815, 1496, 271, 316, 16732, 10946, 21223, 2211, 266, 272, 994, 825, 585, 3693, 538, 2855, 912, 1038, 1883, 318, 1551, 314, 324, 2211, 316, 6834, 476, 272, 454, 825, 2132, 1883, 318, 1551, 7531, 3698, 19469, 318, 4486, 318, 1551, 31107, 318, 1551, 2187, 825, 585, 1883, 538, 2039, 263, 272, 267, 7003, 31107, 318, 1551, 15892, 1038, 1883, 318, 1551, 314, 4486, 316, 6834, 1883, 318, 1551, 314, 4486, 268, 272, 2639, 825, 2132, 1883, 318, 1551, 7531, 3698, 6521, 318, 2431, 318, 4486, 318, 1551, 31107, 318, 1551, 2187, 825, 585, 1883, 538, 2039, 12759, 31107, 318, 1551, 9984, 272, 267, 476, 271, 267, 910, 272, 2187, 1038, 1883, 318, 1551, 314, 4486, 316, 815, 1883, 318, 1551, 314, 4486, 268, 272, 2639, 825, 1883, 318, 1551, 314, 271, 316, 815, 476, 271, 454, 825, 2132, 1883, 318, 1551, 7531, 3698, 10203, 5334, 677, 19906, 2187, 825, 1883, 318, 1551, 815, 6521, 318, 2431, 318, 4486, 318, 1551, 6262, 636, 11494, 318, 4486, 318, 1551, 9852, 820, 318, 4486, 318, 1551, 19906, 21875, 825, 15044, 318, 1551, 815, 1496, 271, 30297, 6352, 19906, 994, 825, 585, 3693, 538, 2855, 912, 1038, 15044, 318, 1551, 314, 4486, 318, 1551, 314, 324, 2211, 14963, 815, 3693, 454, 1038, 1883, 318, 1551, 314, 324, 2211, 316, 6834, 476, 272, 454, 825, 2132, 15044, 318, 1551, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 1496, 272, 267, 476, 271, 267, 476, 274, 267, 476, 272, 267, 476, 274, 267, 476, 272, 2639, 825, 1948, 3217, 1152, 2898, 2338, 269, 1568, 585, 26134, 2338, 269, 7123, 454, 825, 1820, 6262, 870, 532, 5334, 677, 19906, 4917, 0, 258, 256, 7090, 274, 454, 5814, 4351, 7531, 3698, 5352, 318, 12690, 318, 18905, 3890, 9847, 703, 912, 825, 700, 8780, 318, 29996, 318, 303, 6020, 300, 2464, 815, 1496, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 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 ]
[ 23790, 11346, 286, 834, 630, 20197, 538, 519, 1101, 2022, 2020, 7474, 568, 782, 1775, 729, 6031, 563, 302, 10798, 267, 594, 14406, 519, 4276, 547, 519, 1101, 2022, 269, 1809, 594, 1589, 8142, 25690, 1705, 711, 1616, 547, 2307, 952, 519, 4070, 689, 606, 9647, 517, 5436, 4493, 2141, 11729, 513, 1200, 332, 924, 534, 11346, 267, 855, 952, 972, 6818, 2141, 693, 2547, 835, 1200, 332, 924, 534, 11346, 609, 891, 14802, 27523, 780, 32701, 606, 1271, 1448, 780, 302, 10798, 267, 594, 14406, 519, 4276, 547, 519, 1101, 2022, 269, 1809, 594, 1589, 8142, 25690, 1705, 711, 1616, 547, 2307, 952, 519, 4070, 689, 606, 9647, 517, 5436, 4493, 2141, 11729, 513, 1200, 332, 924, 534, 11346, 267, 855, 952, 972, 6818, 2141, 693, 2547, 835, 1200, 332, 924, 534, 11346, 609, 891, 14802, 27523, 780, 32701, 606, 1271, 1448, 563, 29019, 723, 20926, 26008, 993, 1869, 711, 1031, 547, 20171, 5265, 563, 25721, 3098, 692, 516, 11035, 0, 258, 1546, 7720, 643, 516, 781, 14497, 13565, 910, 13216, 1297, 692, 6097, 547, 632, 7720, 643, 516, 781, 14497, 281, 1403, 1269, 333, 259, 568, 1022, 2318, 8870, 1287, 281, 1269, 7268, 6523, 24592, 1341, 1775, 315, 7562, 24592, 8203, 333, 7807, 6523, 562, 24592, 1341, 328, 315, 7562, 562, 24592, 6911, 9827, 1269, 7268, 6523, 24592, 1341, 328, 315, 7562, 1422, 9064, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 815, 1422, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 4151, 1141, 1269, 337, 815, 476, 271, 267, 272, 267, 273, 12101, 24126, 267, 562, 268, 272, 269, 6911, 8923, 2303, 1946, 519, 2063, 851, 799, 568, 281, 4399, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 4151, 568, 711, 1152, 1269, 7268, 6523, 1422, 2765, 346, 272, 2410, 333, 348, 1422, 9064, 1341, 328, 315, 7562, 21702, 346, 272, 2410, 333, 4153, 9064, 7751, 2496, 1892, 621, 568, 28408, 922, 13350, 640, 1862, 6343, 579, 723, 2854, 568, 4570, 1862, 1080, 4990, 540, 6045, 811, 907, 256, 1107, 1109, 305, 832, 577, 778, 3057, 476, 736, 1412, 1724, 693, 476, 279, 281, 7367, 692, 8794, 25586, 16754, 267, 1269, 324, 3867, 1460, 18098, 6523, 1535, 266, 328, 315, 7562, 1535, 6911, 604, 18159, 324, 3867, 328, 24592, 348, 8203, 315, 2765, 272, 333, 284, 324, 3867, 328, 315, 10401, 9574, 6911, 3383, 267, 1269, 324, 3867, 328, 24592, 13157, 324, 3867, 514, 315, 10401, 4153, 574, 18680, 552, 3867, 328, 3799, 315, 10401, 10559, 9064, 264, 13157, 272, 284, 324, 3867, 273, 597, 19570, 4151, 1141, 1269, 337, 259, 568, 1022, 8870, 692, 3383, 267, 1269, 333, 315, 10401, 10559, 9064, 284, 273, 337, 19570, 315, 574, 18680, 1422, 10401, 7807, 2765, 346, 273, 337, 19570, 10954, 9064, 348, 333, 6911, 3086, 267, 952, 1269, 324, 3867, 328, 315, 10401, 318, 272, 13157, 324, 3867, 328, 315, 10401, 318, 273, 9574, 315, 574, 18680, 552, 3867, 328, 7268, 10401, 318, 272, 10559, 10401, 318, 273, 264, 13157, 272, 284, 324, 3867, 273, 529, 19570, 4151, 1141, 1269, 338, 259, 568, 1022, 8870, 692, 7445, 574, 18680, 1422, 10401, 318, 272, 10559, 10401, 318, 273, 284, 273, 338, 19570, 1422, 574, 18680, 1422, 2765, 346, 273, 337, 318, 272, 19570, 10954, 9064, 348, 333, 10559, 2765, 346, 273, 337, 318, 273, 19570, 10954, 9064, 348, 333, 284, 273, 338, 19570, 315, 574, 18680, 678, 318, 272, 8573, 318, 273, 284, 338, 24206, 562, 6911, 3383, 267, 649, 723, 1269, 333, 259, 538, 2275, 784, 745, 550, 2418, 540, 1269, 337, 315, 335, 7116, 562, 259, 7222, 547, 1269, 333, 259, 538, 2275, 784, 745, 550, 5072, 540, 18159, 324, 3867, 328, 24592, 348, 8203, 315, 2765, 272, 333, 259, 607, 782, 519, 5072, 616, 3982, 780, 1892, 7064, 513, 2603, 585, 971, 513, 8799, 27792, 1775, 993, 1390, 995, 547, 596, 1862, 294, 7495, 645, 1652, 596, 907, 1107, 1109, 306, 778, 514, 1744, 12609, 320, 3057, 476, 736, 1412, 1724, 693, 476, 1724, 281, 6812, 454, 1892, 7711, 306, 778, 514, 4537, 12609, 320, 267, 1250, 12257, 269, 1223, 596, 4383, 930, 942, 547, 723, 513, 1413, 883, 519, 2063, 3095, 286, 1107, 1109, 18350, 536, 1002, 339, 778, 541, 329, 2465, 3057, 476, 736, 1412, 1724, 693, 476, 1428, 281, 1240, 692, 259, 345, 17353, 2765, 346, 272, 2410, 333, 22288, 568, 3989, 607, 513, 1305, 540, 2798, 1269, 342, 259, 971, 602, 1269, 342, 18898, 815, 1990, 10608, 15233, 519, 1101, 4528, 540, 519, 4542, 585, 1269, 345, 18898, 259, 547, 519, 4542, 585, 1269, 345, 17353, 2765, 346, 272, 2410, 333, 22288, 543, 596, 786, 1294, 1946, 519, 2034, 4542, 1568, 780, 1892, 898, 568, 1175, 513, 1305, 269, 769, 513, 1617, 529, 564, 519, 9648, 3615, 723, 3818, 2364, 885, 269, 1107, 1109, 22146, 2349, 2660, 3057, 476, 736, 1412, 1724, 693, 476, 280, 281, 3393, 454, 1892, 7937, 1318, 267, 594, 1810, 1405, 1256, 917, 1946, 594, 1031, 519, 2262, 269, 594, 1175, 5921, 513, 1305, 609, 2789, 13366, 267, 786, 4368, 269, 7064, 1107, 1109, 14153, 3960, 331, 1807, 3057, 476, 736, 1412, 1724, 693, 476, 280, 281, 5379, 692, 2690, 1269, 345, 22174, 315, 289, 6277, 595, 259, 519, 2474, 1269, 345, 317, 276, 8961, 610, 1269, 324, 317, 345, 8961, 616, 1134, 3989, 267, 855, 1269, 345, 3867, 272, 14672, 4151, 568, 711, 269, 5675, 1269, 345, 3867, 272, 14672, 4151, 568, 695, 2180, 663, 585, 834, 296, 6415, 5461, 538, 519, 1305, 4399, 346, 342, 22174, 315, 289, 6277, 595, 315, 1923, 315, 530, 18898, 284, 345, 315, 4151, 2668, 13689, 593, 519, 1966, 596, 616, 2324, 593, 596, 1522, 991, 782, 540, 891, 1269, 342, 8961, 610, 1152, 513, 1808, 835, 602, 25389, 930, 824, 2175, 1459, 538, 707, 3510, 780, 288, 2009, 1259, 547, 1413, 693, 519, 3510, 568, 713, 1384, 763, 1101, 4528, 540, 632, 7720, 643, 516, 781, 11532, 1223, 581, 2854, 607, 1384, 2330, 7268, 6523, 24592, 1341, 1775, 315, 7562, 24592, 8203, 333, 7807, 6523, 630, 273, 337, 19570, 266, 333, 24592, 264, 1341, 328, 315, 7562, 630, 273, 337, 19570, 266, 333, 24592, 264, 9681, 8117, 972, 9327, 1405, 581, 1454, 1448, 267, 607, 782, 519, 2418, 540, 1269, 337, 259, 596, 1223, 3442, 1131, 782, 2285, 519, 1482, 2626, 267, 2094, 4399, 7562, 259, 543, 4399, 6523, 259, 1312, 723, 1974, 1269, 273, 19570, 16859, 4002, 519, 824, 1688, 267, 538, 519, 4528, 1384, 2330, 7268, 6523, 24592, 1341, 328, 315, 7562, 1422, 9064, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 815, 1422, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 15732, 11155, 3151, 1114, 2418, 585, 1269, 337, 259, 798, 711, 782, 2285, 519, 1482, 2418, 585, 519, 1318, 11804, 2427, 267, 543, 538, 1249, 7446, 1269, 333, 259, 1114, 2418, 585, 1269, 337, 259, 786, 2285, 596, 519, 1269, 333, 259, 2009, 1269, 333, 27572, 628, 5072, 540, 4399, 6523, 24592, 1341, 1775, 315, 7562, 24592, 259, 3267, 865, 1279, 607, 596, 1118, 2386, 519, 2418, 596, 3442, 616, 782, 1875, 2275, 784, 745, 550, 4399, 335, 7116, 23533, 31859, 1492, 2063, 851, 616, 519, 1269, 333, 259, 628, 268, 23085, 540, 519, 1297, 1269, 324, 3867, 328, 1422, 9064, 23201, 1403, 596, 1379, 782, 540, 1346, 2338, 547, 519, 1269, 333, 259, 628, 27703, 596, 786, 1205, 1586, 1269, 324, 3867, 328, 1422, 9064, 31859, 2252, 596, 4194, 585, 5430, 6025, 6661, 476, 272, 270, 273, 596, 1205, 711, 1152, 512, 284, 1341, 1315, 910, 14039, 270, 274, 607, 3435, 267, 855, 782, 28422, 1069, 1400, 7285, 540, 6152, 538, 519, 1950, 14803, 663, 6516, 1205, 3769, 607, 513, 2489, 3070, 585, 13350, 3252, 269, 0, 258, 14581, 6435, 281, 4855, 6152, 1535, 543, 22185, 18494, 692, 272, 269, 2904, 476, 279, 267, 476, 1001, 273, 692, 2162, 16142, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 8340, 519, 6152, 1535, 543, 519, 22185, 18494, 799, 14183, 519, 4834, 454, 2330, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 12101, 282, 1535, 6983, 15871, 273, 2330, 3602, 536, 815, 11196, 273, 267, 476, 272, 267, 910, 272, 264, 543, 524, 815, 630, 272, 267, 910, 273, 267, 476, 273, 2020, 273, 269, 31999, 4834, 454, 309, 10725, 7223, 780, 274, 269, 634, 3801, 693, 513, 3070, 454, 5575, 267, 1775, 5249, 593, 1535, 6983, 15871, 273, 454, 4131, 6152, 1269, 343, 815, 630, 343, 318, 272, 267, 1535, 318, 273, 267, 1535, 318, 274, 7751, 454, 3383, 267, 1775, 3893, 519, 1101, 3830, 281, 1269, 343, 318, 272, 268, 273, 343, 318, 273, 266, 273, 343, 318, 274, 15871, 273, 6911, 3086, 267, 2324, 609, 281, 1269, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 14204, 5575, 267, 1775, 11117, 519, 700, 13034, 2529, 269, 543, 1775, 1336, 519, 24572, 281, 1269, 8987, 343, 318, 273, 14870, 318, 274, 9385, 1002, 1775, 910, 11196, 343, 318, 272, 266, 273, 343, 318, 274, 9385, 1002, 795, 1341, 263, 343, 318, 272, 266, 273, 343, 318, 273, 9385, 1002, 737, 6911, 9202, 267, 1775, 1336, 519, 681, 13034, 2529, 269, 543, 1775, 1226, 730, 1312, 5011, 267, 543, 3773, 873, 909, 547, 1205, 519, 2034, 3830, 281, 1269, 273, 343, 318, 272, 21147, 318, 273, 268, 274, 343, 318, 274, 15871, 273, 268, 16575, 6911, 3719, 875, 547, 4194, 1312, 4834, 547, 1205, 1535, 543, 18494, 286, 9320, 1775, 4312, 15763, 1945, 13718, 296, 849, 6836, 6152, 7223, 593, 281, 1269, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 259, 676, 1101, 3257, 22185, 8691, 676, 536, 543, 1287, 6152, 8691, 676, 536, 563, 296, 3893, 281, 3230, 343, 7807, 2765, 24877, 16575, 6357, 315, 342, 8354, 524, 20972, 263, 321, 317, 273, 268, 16575, 25900, 264, 15732, 11039, 267, 1775, 1589, 1775, 3893, 621, 269, 594, 1185, 547, 1413, 6251, 693, 1250, 22185, 8691, 267, 799, 3947, 912, 2330, 16575, 7807, 2765, 15830, 317, 273, 2410, 25900, 28021, 10190, 267, 1775, 1175, 723, 547, 946, 519, 1871, 540, 18494, 547, 1265, 6152, 1535, 563, 16575, 15871, 272, 543, 1287, 621, 4667, 602, 1775, 3190, 539, 909, 607, 538, 4466, 1535, 267, 1775, 3893, 519, 14009, 815, 476, 271, 563, 12179, 10372, 2496, 3633, 3951, 281, 15528, 1862, 5502, 540, 22185, 543, 6152, 8691, 676, 536, 267, 1775, 6836, 519, 1482, 3268, 609, 524, 563, 296, 3893, 18494, 15871, 272, 543, 1535, 284, 8987, 276, 270, 277, 267, 476, 276, 270, 277, 267, 476, 272, 270, 277, 994, 3674, 621, 2953, 2496, 8310, 12995, 281, 2904, 476, 279, 267, 476, 1001, 273, 0, 258, 1548, 568, 519, 1007, 3328, 538, 519, 1739, 2013, 286, 288, 1305, 540, 562, 2338, 814, 606, 3328, 1871, 540, 519, 2474, 3160, 547, 476, 3393, 269, 1879, 1079, 1007, 2474, 616, 3773, 547, 519, 1305, 267, 519, 3328, 1871, 4679, 676, 476, 275, 267, 1018, 568, 13718, 1432, 568, 519, 1007, 3328, 538, 519, 1739, 2013, 2496, 288, 1305, 540, 562, 2338, 814, 606, 3328, 1871, 540, 519, 2474, 3160, 547, 476, 3393, 269, 1879, 1079, 1007, 2474, 616, 3773, 547, 519, 1305, 267, 519, 3328, 1871, 4679, 676, 476, 275, 267, 1018, 568, 519, 1689, 538, 519, 3328, 1871, 952, 2474, 3160, 547, 1346, 3773, 616, 3079, 6569, 689, 519, 1305, 2496, 3286, 16331, 728, 1923, 5441, 11819, 1923, 630, 25583, 476, 273, 264, 31692, 1639, 3447, 1807, 692, 16829, 593, 692, 4131, 972, 581, 562, 2474, 538, 519, 1305, 269, 634, 3328, 1871, 568, 476, 3393, 282, 4061, 519, 2040, 540, 519, 562, 2474, 568, 476, 3393, 333, 780, 763, 1840, 540, 1079, 2474, 513, 543, 536, 547, 519, 1305, 267, 4679, 519, 2698, 2040, 540, 519, 2474, 547, 476, 3393, 333, 1341, 513, 1341, 536, 543, 741, 3328, 1871, 3587, 630, 3393, 333, 1341, 513, 1341, 536, 8358, 630, 333, 1341, 476, 273, 264, 799, 568, 3160, 547, 476, 3393, 1341, 476, 275, 607, 2016, 780, 3383, 513, 1341, 536, 815, 476, 5392, 3799, 1341, 476, 273, 264, 1107 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5580, 13021, 476, 11025, 568, 7620, 8118, 1247, 519, 2539, 13021, 476, 5952, 568, 7620, 6806, 538, 1931, 547, 4309, 513, 2582, 1826, 540, 3653, 1570, 269, 2991, 519, 3119, 8708, 476, 3199, 568, 2407, 267, 519, 5580, 13021, 568, 1287, 6806, 538, 7041, 585, 4015, 269, 634, 3653, 2326, 616, 13939, 689, 519, 3119, 8708, 476, 3199, 676, 6679, 519, 2539, 13021, 476, 5952, 543, 3274, 546, 18804, 519, 3653, 1570, 856, 563, 763, 2034, 9074, 540, 519, 8798, 568, 519, 6281, 11149, 476, 1789, 269, 634, 6281, 11149, 476, 1789, 616, 2147, 538, 1374, 543, 1523, 547, 519, 3119, 11149, 476, 1015, 267, 855, 519, 6281, 11149, 476, 1789, 616, 1454, 3677, 543, 5827, 540, 5627, 3648, 811, 4320, 543, 17666, 3648, 811, 2597, 269, 13575, 267, 519, 6281, 11149, 476, 1789, 723, 513, 4320, 8151, 689, 476, 1015, 547, 476, 278, 4792, 12945, 3952, 563, 8269, 518, 2590, 547, 16658, 306, 269, 476, 278, 288, 543, 476, 278, 289, 267, 519, 6281, 11149, 723, 513, 533, 13224, 476, 4029, 799, 949, 581, 1500, 689, 513, 2582, 5057, 610, 513, 4999, 540, 3334, 971, 607, 562, 14125, 267, 10991, 12285, 267, 12285, 267, 1183, 341, 24882, 267, 6491, 787, 331, 9109, 2643, 610, 519, 899, 269, 769, 513, 9053, 20032, 267, 519, 533, 13224, 568, 1500, 689, 1079, 726, 625, 540, 1570, 267, 1142, 827, 835, 6709, 6621, 10759, 5394, 269, 634, 6281, 11149, 476, 1789, 723, 513, 1216, 2389, 697, 13021, 476, 3953, 799, 20910, 519, 533, 13224, 476, 4029, 269, 769, 835, 20032, 267, 519, 13021, 476, 3953, 568, 513, 1216, 2389, 697, 1990, 23124, 269, 634, 6281, 8708, 267, 2705, 267, 949, 711, 8209, 581, 20177, 269, 769, 606, 20032, 538, 799, 519, 6281, 8708, 568, 711, 20177, 267, 519, 6281, 8708, 949, 1331, 513, 14557, 577, 1899, 476, 2412, 799, 568, 5645, 538, 513, 3950, 476, 6078, 269, 634, 14557, 577, 1899, 476, 2412, 1568, 538, 513, 6073, 799, 568, 26922, 547, 513, 8631, 521, 871, 585, 12008, 11435, 607, 3254, 538, 16658, 269, 476, 278, 290, 269, 634, 6281, 11149, 476, 1789, 949, 1331, 693, 2547, 835, 17666, 1797, 476, 3607, 585, 7679, 5217, 609, 513, 11876, 626, 630, 2254, 3254, 264, 593, 513, 4015, 6174, 269, 769, 513, 9053, 20032, 267, 519, 17666, 1797, 476, 3607, 616, 834, 291, 257, 14034, 563, 763, 6281, 11149, 476, 1789, 616, 1031, 538, 519, 2034, 1377, 540, 519, 1062, 267, 543, 616, 3622, 5116, 3544, 540, 606, 1367, 781, 1753, 610, 1870, 269, 3962, 6281, 8708, 476, 1789, 949, 581, 17479, 538, 513, 29746, 3122, 630, 2254, 3254, 264, 610, 513, 14461, 7406, 630, 2254, 3254, 1070, 610, 2451, 1863, 7555, 269, 769, 519, 3510, 540, 17568, 519, 8708, 476, 1789, 1369, 513, 29746, 3122, 267, 519, 6281, 8708, 476, 1789, 6411, 607, 513, 561, 10719, 1369, 519, 29746, 3122, 269, 769, 519, 2034, 1377, 540, 519, 1062, 267, 1896, 3119, 11149, 476, 1015, 267, 1142, 4904, 1152, 609, 513, 2582, 1826, 540, 3653, 267, 616, 10015, 730, 1369, 513, 6281, 8708, 476, 1789, 269, 634, 6281, 8708, 476, 1789, 949, 1287, 20177, 610, 14557, 3481, 538, 7041, 585, 4015, 563, 763, 3791, 9074, 540, 519, 8798, 568, 519, 24596, 8708, 476, 2004, 269, 28582, 2590, 547, 16658, 269, 476, 279, 267, 519, 24596, 8708, 476, 2004, 2882, 513, 9126, 476, 7906, 799, 949, 581, 1500, 689, 513, 2582, 5057, 610, 513, 4999, 540, 3334, 971, 607, 10991, 610, 2067, 12285, 2326, 267, 1183, 341, 24882, 267, 6491, 787, 331, 9109, 2643, 610, 519, 899, 269, 634, 24596, 8708, 476, 2004, 568, 15186, 3677, 982, 519, 6281, 11149, 476, 1789, 267, 543, 949, 723, 513, 4320, 540, 827, 476, 10384, 268, 272, 267, 1220, 12945, 3952, 269, 769, 513, 9053, 20032, 267, 519, 24596, 11149, 476, 2004, 1331, 17666, 1797, 476, 7367, 799, 949, 581, 834, 291, 257, 14034, 563, 763, 24596, 11149, 476, 2004, 616, 1031, 538, 519, 3791, 1377, 540, 519, 8798, 269, 28582, 2590, 547, 16658, 269, 476, 272, 267, 1142, 24596, 8708, 476, 2004, 568, 17332, 883, 513, 14461, 7406, 476, 10844, 5645, 676, 513, 4015, 6174, 476, 3445, 269, 634, 14461, 7406, 476, 10844, 949, 581, 513, 2241, 20258, 2497, 607, 3254, 610, 2185, 4396, 6821, 269, 634, 20177, 6281, 11149, 476, 1789, 689, 1142, 1367, 3593, 781, 4087, 616, 5116, 1369, 519, 24596, 8708, 476, 2004, 17479, 1369, 513, 4015, 6174, 267, 543, 688, 27968, 547, 513, 21438, 4015, 3135, 269, 4495, 693, 519, 21438, 4015, 3135, 267, 519, 3003, 24596, 8708, 476, 2004, 568, 13939, 689, 519, 4015, 6174, 267, 543, 1142, 1367, 6281, 8708, 568, 8118, 547, 4894, 519, 3119, 11149, 476, 1015, 269, 634, 3119, 11149, 476, 1015, 616, 1287, 15044, 2687, 547, 519, 1826, 540, 3653, 538, 1142, 8708, 607, 5462, 676, 519, 8446, 16776, 476, 1626, 543, 5924, 6885, 476, 2420, 269, 2991, 18570, 267, 519, 3119, 11149, 476, 1015, 616, 7962, 1221, 693, 606, 3617, 9657, 610, 24600, 4087, 563, 763, 2078, 540, 519, 3119, 543, 6281, 11149, 540, 519, 1459, 8798, 568, 1655, 6956, 676, 13288, 547, 16658, 269, 476, 273, 267, 799, 568, 513, 3444, 22891, 2070, 540, 513, 6281, 8708, 476, 1789, 8066, 1896, 3119, 11149, 476, 1015, 602, 616, 1142, 4904, 609, 513, 2582, 1826, 540, 3653, 1570, 269, 589, 1101, 3119, 8708, 476, 1015, 3568, 11956, 3653, 476, 1911, 267, 513, 2034, 543, 3791, 3119, 8708, 476, 1015, 3568, 4837, 3653, 476, 9083, 267, 513, 8772, 3119, 8708, 476, 1015, 3568, 5068, 3653, 476, 10441, 267, 513, 11359, 3119, 8708, 476, 1015, 3568, 1957, 3653, 476, 11793, 267, 543, 15795, 543, 18749, 3119, 11149, 476, 1015, 2270, 11003, 762, 1426, 22837, 476, 8099, 269, 1306, 13269, 538, 16658, 269, 476, 273, 267, 1142, 3119, 8708, 3568, 1152, 513, 2582, 1826, 540, 3653, 1570, 267, 855, 519, 6281, 8708, 476, 1789, 949, 2270, 1896, 1114, 2010, 540, 3653, 2326, 563, 288, 2189, 3498, 540, 519, 17102, 540, 519, 1459, 8798, 3322, 519, 4015, 540, 21312, 269, 13575, 267, 21312, 568, 1360, 2352, 547, 2445, 1317, 6671, 11149, 3112, 7561, 6023, 922, 1585, 7306, 543, 4439, 5652, 2470, 269, 11814, 532, 21312, 538, 519, 1459, 8798, 267, 2705, 267, 568, 711, 513, 1966, 607, 3254, 538, 16658, 269, 476, 273, 269, 769, 519, 1459, 8798, 267, 513, 1297, 540, 21312, 10833, 476, 10482, 949, 8806, 581, 5116, 538, 513, 7477, 656, 6712, 540, 513, 6281, 8708, 476, 1789, 1510, 2348, 547, 581, 14350, 9674, 689, 519, 1964, 540, 519, 3653, 269, 634, 21312, 10833, 476, 10482, 798, 711, 991, 547, 581, 9674, 538, 519, 1459, 8798, 1317, 519, 3119, 11149, 476, 1015, 2270, 519, 824, 3653, 2326, 538, 513, 6073, 538, 799, 789, 3112, 13451, 267, 799, 1073, 12858, 919, 519, 991, 547, 5094, 519, 21312, 563, 7212, 519, 3653, 12535, 2611, 5302, 27935, 693, 519, 1377, 540, 519, 3119, 11149, 476, 1015, 267, 621, 568, 711, 2556, 547, 2226, 971, 17478, 693, 519, 1377, 540, 519, 6281, 11149, 476, 1789, 269, 1306, 971, 267, 519, 3119, 11149, 476, 1015, 949, 581, 10015, 730, 543, 6394, 1369, 519, 6281, 11149, 476, 1789, 1510, 2543, 547, 519, 1826, 540, 3653, 8659, 1369, 519, 3119, 11149, 563, 763, 10198, 476, 2568, 540, 519, 1459, 8798, 2488, 606, 17102, 602, 6971, 519, 1942, 540, 10655, 543, 19459, 3653, 267, 543, 18113, 31758, 519, 2042, 540, 30851, 543, 2322, 10915, 1221, 24694, 3238, 538, 8741, 532, 540, 11003, 762, 22837, 269, 634, 10198, 476, 2568, 6971, 519, 3854, 24723, 3238, 538, 19459, 543, 10655, 3653, 2326, 607, 621, 1281, 711, 2154, 7199, 543, 3810, 7463, 4015, 6472, 269, 9521, 6671, 1949, 799, 946, 18114, 2348, 11741, 832, 610, 3021, 1807, 1949, 267, 519, 10198, 476, 2568, 1152, 3340, 513, 14903, 610, 911, 8814, 2348, 513, 8766, 26456, 543, 11876, 626, 269, 634, 10198, 476, 2568, 849, 6971, 4074, 3790, 1317, 519, 3119, 11149, 476, 1015, 949, 581, 10015, 730, 1369, 519, 6281, 11149, 476, 1789, 1510, 2543, 547, 519, 1826, 540, 3653, 538, 519, 3119, 11149, 269, 11088, 267, 7429, 6671, 1949, 538, 799, 519, 17478, 540, 3653, 2326, 1590, 581, 9738, 676, 519, 19455, 10986, 607, 789, 2445, 519, 3653, 689, 1142, 1367, 3593, 267, 519, 10198, 476, 2568, 2636, 519, 19455, 10986, 547, 3533, 2445, 519, 3653, 2326, 1510, 7263, 1746, 1978, 2010, 540, 3653, 2326, 538, 7222, 25510, 269, 5502, 267, 519, 3653, 2326, 538, 519, 1459, 8798, 666, 581, 15044, 693, 513, 21438, 4015, 3135, 676, 18570, 519, 3119, 11149, 476, 1015, 2687, 547, 519, 1826, 540, 3653, 538, 1142, 3119, 8708, 269, 1306, 513, 1267, 267, 519, 4398, 568, 4824, 1317, 519, 1367, 3268, 540, 519, 19459, 543, 10655, 1184, 616, 782, 5340, 693, 519, 1482, 942, 267, 14874, 1082, 540, 519, 16625, 13591, 3268, 563, 13420, 958, 1271, 547, 519, 22237, 5383, 267, 519, 1459, 8798, 849, 2488, 606, 17102, 585, 519, 2922, 543, 10375, 12871, 540, 11003, 762, 3653, 2326, 269, 1230, 14846, 1949, 3112, 18113, 26565, 540, 11003, 762, 3653, 2326, 1317, 741, 3457, 798, 711, 2270, 30851, 610, 24694, 540, 2322, 10915, 1221, 15559, 269, 9521, 6671, 1949, 267, 2705, 267, 519, 3119, 543, 6281, 11149, 540, 519, 10198, 476, 2568, 949, 581, 20177, 267, 7303, 519, 30851, 610, 2322, 10915, 1221, 15559, 540, 10920, 19397, 2326, 547, 9101, 883, 519, 1604, 269, 1306, 513, 1267, 267, 10920, 19397, 2326, 949, 581, 6740, 585, 513, 1713, 1974, 540, 942, 1510, 4929, 1072, 10898, 610, 1373, 513, 1857, 562, 7572, 766, 563, 12234, 267, 519, 3119, 11149, 476, 1015, 543, 6281, 11149, 476, 1789, 616, 10375, 543, 2653, 585, 6800, 547, 946, 269, 634, 3119, 11149, 476, 1015, 616, 14463, 543, 15186, 14047, 675, 31383, 865, 602, 789, 616, 4998, 585, 5627, 3388, 689, 4948, 20203, 547, 13452, 3653, 269, 634, 3119, 11149, 476, 1015, 849, 616, 23431, 267, 543, 3976, 798, 711, 2417, 1039, 547, 519, 3653, 6908, 563, 763, 1505, 540, 1210, 519, 10198, 476, 2568, 540, 519, 1459, 8798, 3322, 3246, 513, 32469, 540, 3119, 11149, 476, 1015, 543, 693, 2547, 835, 6281, 8708, 476, 1789, 547, 1142, 1367, 3593, 269, 3962, 2582, 1826, 540, 3653, 1570, 568, 1287, 23987, 883, 513, 5094, 3119, 8708, 476, 1015, 267, 543, 1142, 3119, 8708, 476, 1015, 568, 20177, 1310, 621, 568, 2407, 269, 634, 4904, 3119, 11149, 476, 1015, 616, 1287, 10015, 730, 883, 513, 2582, 6281, 8708, 476, 1789, 865, 602, 519, 3653, 3788, 9674, 1369, 1142, 3119, 8708, 476, 1015, 855, 711, 1369, 519, 6281, 11149, 476, 1789, 269, 634, 4904, 6281, 11149, 476, 1789, 616, 1287, 6394, 543, 17332, 883, 513, 24596, 8708, 476, 2004, 4371, 593, 513, 4015, 6174, 563, 763, 10198, 476, 2568, 540, 519, 3119, 11149, 476, 1015, 267, 6281, 11149, 476, 1789, 543, 24596, 8708, 476, 2004, 949, 1287, 581, 688, 27968, 547, 513, 4015, 3135, 1141, 519, 24596, 8708, 568, 13939, 689, 519, 4015, 6174, 267, 519, 6281, 11149, 616, 796, 2903, 539, 689, 519, 24596, 11149, 267, 543, 519, 3119, 11149, 476, 1015, 616, 6569, 689, 519, 6281, 11149, 269, 901, 666, 581, 2944, 5612, 1310, 519, 24596, 11149, 616, 796, 2903, 539, 693, 519, 4015, 3135, 267, 855, 621, 568, 547, 581, 6956, 602, 513, 1297, 540, 519, 24596, 11149, 666, 581, 4371, 693, 513, 588, 1645, 1858, 585, 4393, 865, 602, 4015, 540, 519, 3653, 689, 3755, 786, 711, 581, 16607, 676, 17799, 538, 4393, 540, 519, 24596, 11149, 563, 21446, 8271, 267, 519, 4904, 24596, 11149, 666, 581, 6394, 693, 513, 11280, 8066, 3135, 585, 3560, 609, 513, 1297, 540, 824, 24596, 11149, 547, 519, 4015, 543, 4393, 3135, 269, 1280, 1383, 267, 538, 606, 1858, 17479, 2059, 513, 1216, 12506, 267, 513, 3126, 540, 8066, 4609, 666, 581, 11280, 2059, 519, 1216, 12506, 269, 1306, 18114, 610, 519, 899, 6445, 519, 24596, 11149, 5645, 972, 517, 267, 789, 666, 8399, 547, 835, 540, 519, 8066, 4609, 2864, 982, 6117, 782, 519, 1259, 547, 519, 21438, 4015, 3135, 269, 589, 536, 1618, 610, 519, 899, 666, 1287, 8399, 2059, 519, 1216, 12506, 543, 2445, 519, 24596, 11149, 630, 324, 3052, 269, 676, 17666, 873, 20829, 609, 513, 31219, 610, 519, 899, 264, 693, 891, 8066, 4609, 543, 3560, 873, 547, 519, 3844, 4015, 3135, 269, 13518, 519, 1482, 1184, 1223, 849, 581, 6964, 1210, 14884, 676, 19437, 513, 3126, 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 ]
[ 0, 3698, 1003, 318, 4818, 732, 10031, 825, 1820, 834, 14187, 10543, 267, 12254, 256, 1684, 596, 1616, 547, 5635, 2338, 24350, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 1535, 815, 703, 263, 3863, 17750, 2891, 8923, 4283, 476, 272, 560, 1297, 281, 27328, 2018, 1820, 834, 15124, 30882, 1038, 4849, 28759, 912, 2018, 1820, 834, 302, 3591, 256, 476, 2334, 729, 711, 513, 4570, 1297, 269, 7490, 267, 2119, 1586, 907, 4799, 1038, 3116, 912, 2018, 1820, 834, 14188, 596, 256, 634, 476, 272, 560, 1297, 568, 2580, 1535, 454, 2018, 2736, 454, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 586, 815, 703, 263, 3863, 17750, 2891, 8923, 4283, 476, 273, 526, 1297, 281, 27328, 2018, 1820, 834, 15124, 30882, 1038, 4849, 28759, 912, 2018, 1820, 834, 302, 3591, 256, 476, 2334, 729, 711, 513, 4570, 1297, 269, 7490, 267, 2119, 1586, 907, 4799, 1038, 3116, 912, 2018, 1820, 834, 14188, 596, 256, 634, 476, 273, 526, 1297, 568, 2580, 586, 454, 2018, 2736, 454, 825, 952, 1535, 3436, 586, 912, 1038, 1820, 834, 5575, 1297, 568, 8273, 1287, 2034, 835, 4799, 825, 8640, 1535, 2999, 586, 912, 1038, 1820, 834, 13553, 1297, 568, 8273, 1287, 1101, 835, 4799, 825, 8640, 1535, 2652, 586, 912, 1038, 1820, 834, 301, 13246, 616, 3160, 4799, 825, 1820, 834, 13707, 540, 707, 2338, 568, 2580, 2040, 8443, 343, 267, 586, 7481, 825, 1780, 0, 18851, 296, 1616, 596, 547, 2328, 803, 513, 1599, 609, 476, 274, 6724, 454, 3602, 594, 1683, 519, 1101, 3355, 476, 273, 2338, 1106, 713, 454, 6312, 1181, 2059, 609, 513, 1297, 543, 596, 2132, 1018, 519, 3693, 1131, 581, 27969, 692, 258, 476, 271, 267, 910, 272, 267, 910, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 476, 271, 267, 476, 272, 2073, 476, 272, 267, 476, 271, 692, 258, 1449, 2665, 454, 258, 476, 271, 267, 910, 272, 267, 476, 276, 815, 476, 272, 454, 258, 476, 271, 267, 910, 272, 267, 476, 1724, 815, 476, 271, 7531, 3698, 694, 336, 766, 5416, 267, 536, 267, 1535, 2187, 825, 585, 1775, 538, 2039, 3287, 2187, 1038, 536, 267, 513, 815, 513, 267, 513, 910, 536, 454, 825, 1820, 910, 321, 454, 572, 336, 766, 263, 271, 267, 910, 272, 267, 476, 1724, 9239, 258, 589, 1599, 547, 9258, 513, 2262, 543, 1820, 1101, 1614, 1915, 540, 513, 2262, 7531, 3698, 5569, 27182, 2187, 825, 1820, 2262, 11468, 18737, 272, 2639, 825, 1820, 2262, 11468, 274, 6540, 11415, 2891, 20625, 5602, 0, 18851, 29441, 547, 2981, 519, 2121, 26530, 1239, 1305, 689, 918, 12000, 548, 780, 5825, 720, 1383, 912, 825, 8141, 28175, 2466, 2121, 26530, 270, 6339, 26530, 7272, 903, 335, 1046, 18258, 910, 335, 1239, 270, 6339, 26530, 13045, 12163, 5814, 2415, 27785, 454, 5228, 533, 903, 335, 1046, 4732, 27942, 1104, 27910, 306, 11970, 692, 258, 16294, 513, 28203, 585, 2121, 26530, 1239, 563, 2316, 26950, 2464, 318, 17092, 26154, 815, 9497, 19651, 16182, 31031, 5058, 267, 6943, 31031, 5058, 25722, 1856, 31031, 5058, 28504, 1311, 528, 31031, 5058, 267, 4751, 31031, 5058, 2437, 454, 4449, 834, 12248, 787, 31031, 5058, 267, 11845, 318, 611, 4765, 667, 12442, 267, 516, 3161, 14729, 792, 21850, 267, 7992, 31031, 5058, 2437, 454, 4449, 834, 323, 4851, 31031, 5058, 267, 4289, 539, 18425, 31031, 5058, 267, 9188, 5524, 31031, 5058, 257, 9239, 3698, 2973, 572, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 7343, 569, 26349, 3652, 547, 519, 3403, 1239, 7406, 27969, 454, 825, 1948, 17179, 5918, 27289, 1759, 593, 1397, 16182, 563, 825, 759, 32470, 815, 538, 335, 32470, 6155, 1886, 318, 706, 27289, 8443, 262, 19651, 16182, 11172, 2020, 825, 1948, 8307, 2824, 7641, 8058, 543, 28414, 454, 825, 759, 32470, 815, 759, 32470, 27007, 637, 32470, 9131, 6943, 11172, 2652, 1412, 29552, 8058, 10807, 1923, 630, 637, 32470, 9131, 6943, 11172, 2652, 1412, 300, 990, 773, 10807, 6540, 825, 1948, 17179, 1007, 1899, 1347, 716, 832, 454, 825, 759, 32470, 815, 759, 32470, 18622, 2897, 19629, 333, 14824, 2580, 11357, 3553, 284, 9131, 27583, 3299, 1412, 9188, 5524, 3299, 1412, 29715, 832, 3299, 1412, 4751, 11172, 2020, 825, 2132, 759, 32470, 7531, 3698, 2981, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 7343, 569, 7004, 3652, 547, 519, 18274, 539, 1239, 7406, 27969, 454, 825, 1948, 29130, 513, 1007, 6241, 607, 1100, 15058, 26000, 3517, 543, 3132, 519, 2698, 4005, 2338, 1299, 3097, 825, 1948, 1689, 519, 4540, 6241, 8653, 547, 3097, 825, 10943, 5091, 584, 815, 8237, 29254, 9131, 323, 4851, 28710, 834, 19515, 825, 759, 32470, 815, 538, 335, 32470, 269, 5976, 8624, 4379, 3488, 7224, 15058, 26000, 3517, 3299, 950, 263, 637, 32470, 9131, 6943, 11172, 2652, 1412, 29552, 8058, 3299, 3097, 4449, 25639, 10943, 5091, 584, 314, 271, 316, 1040, 1278, 3772, 18217, 1638, 13911, 26895, 5976, 8624, 4379, 3488, 323, 4851, 22779, 4449, 25639, 950, 263, 637, 32470, 9131, 6943, 11172, 2652, 1412, 300, 990, 773, 3299, 3097, 4449, 25639, 630, 338, 680, 5091, 584, 314, 271, 30297, 2568, 1040, 770, 4286, 2891, 19860, 8442, 1040, 1278, 3772, 18217, 1638, 13911, 11723, 825, 1948, 7827, 519, 1239, 1826, 540, 519, 4266, 318, 611, 4765, 6241, 563, 825, 759, 32470, 815, 759, 32470, 269, 5976, 8624, 4379, 3488, 11845, 318, 611, 4765, 3299, 547, 5091, 622, 263, 514, 335, 32470, 9131, 11845, 318, 611, 4765, 28710, 834, 260, 300, 4939, 291, 267, 4939, 344, 8442, 2020, 825, 1948, 22352, 519, 4578, 31108, 543, 5372, 782, 519, 19364, 609, 834, 7419, 298, 4840, 825, 759, 32470, 815, 476, 759, 32470, 269, 3534, 8807, 650, 20719, 257, 4751, 9899, 834, 7419, 298, 2580, 834, 29715, 528, 9899, 834, 7419, 298, 257, 348, 2020, 825, 759, 32470, 815, 759, 32470, 269, 572, 937, 2891, 265, 2580, 30161, 1712, 4433, 5902, 263, 637, 32470, 9131, 4751, 28710, 834, 2437, 26895, 531, 5362, 2891, 716, 832, 8442, 1040, 17840, 2891, 4751, 5602, 825, 759, 32470, 815, 759, 32470, 269, 572, 937, 2891, 265, 2580, 30161, 1712, 4433, 5902, 263, 514, 335, 32470, 9131, 29715, 528, 28710, 834, 2437, 26895, 531, 5362, 2891, 29715, 528, 8442, 2020, 825, 2132, 759, 32470, 7531, 3698, 1184, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 31088, 519, 3403, 1239, 7406, 543, 4019, 7004, 3652, 27969, 454, 825, 1948, 15233, 26349, 3652, 563, 825, 759, 32470, 815, 2973, 572, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2020, 825, 1948, 15233, 7004, 3652, 563, 825, 759, 32470, 815, 2973, 572, 32470, 4433, 335, 1046, 267, 759, 32470, 2020, 825, 1948, 3503, 519, 5638, 538, 3474, 21103, 3898, 563, 825, 759, 32470, 18622, 4820, 819, 263, 272, 1040, 31095, 269, 1706, 21103, 2891, 270, 339, 5404, 270, 11687, 270, 2580, 7154, 6889, 1478, 31095, 15419, 3698, 1292, 10031, 825, 5727, 9558, 845, 519, 2121, 26530, 1239, 1305, 27969, 454, 825, 1948, 5192, 7440, 563, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 6889, 9558, 845, 2121, 26530, 1239, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 335, 2580, 834, 734, 12949, 2580, 1826, 284, 1598, 267, 2838, 18989, 267, 948, 6889, 17809, 728, 4570, 2619, 5602, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 1948, 8073, 513, 8141, 8400, 563, 825, 8141, 815, 27910, 306, 11970, 12500, 4265, 518, 6230, 2120, 2891, 29985, 20257, 1952, 11243, 2891, 6339, 26530, 20257, 1326, 7775, 8620, 4590, 825, 1820, 4433, 335, 1046, 2020, 825, 1948, 20509, 519, 1239, 607, 513, 4578, 20988, 563, 825, 1948, 2368, 540, 519, 6609, 543, 10643, 616, 3812, 538, 2789, 3515, 563, 825, 538, 335, 32470, 815, 8141, 18667, 27406, 263, 16911, 29624, 267, 28203, 284, 2316, 26950, 2464, 318, 17092, 26154, 267, 20927, 18989, 267, 3818, 18118, 18989, 2020, 825, 1948, 6713, 519, 1239, 7406, 454, 825, 1184, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5228, 4351, 1104, 28219, 842, 1477, 5228, 942, 1104, 3207, 5897, 2745, 3488, 268, 8782, 2608, 476, 736, 3418, 2745, 3488, 1412, 2608, 476, 1321, 267, 1412, 297, 302, 918, 2894, 18161, 715, 26314, 20298, 2745, 3488, 268, 8782, 2608, 476, 736, 10142, 527, 839, 815, 18011, 303, 539, 571, 3299, 1412, 303, 19125, 3299, 1412, 307, 525, 2227, 3299, 1412, 299, 698, 691, 334, 3299, 1412, 8967, 1442, 20298, 28669, 11456, 815, 28219, 842, 263, 271, 267, 476, 273, 3418, 2745, 3488, 5257, 22296, 553, 14956, 9809, 383, 369, 525, 6769, 314, 476, 271, 7684, 623, 3633, 6938, 1477, 314, 476, 272, 9948, 623, 4338, 5085, 1477, 314, 476, 273, 9948, 570, 2464, 5495, 6938, 1477, 314, 476, 274, 9948, 700, 8980, 11286, 302, 1477, 314, 476, 275, 9948, 9501, 8016, 298, 18257, 3418, 329, 690, 11456, 815, 703, 9272, 3488, 304, 783, 20527, 513, 647, 320, 28185, 3385, 286, 1412, 17903, 2745, 3488, 297, 302, 20298, 338, 2748, 263, 272, 3418, 2745, 3488, 298, 2894, 20298, 338, 2748, 263, 272, 3418, 2745, 3488, 17269, 26008, 20298, 2745, 3488, 268, 8782, 2608, 476, 1556, 3418, 2745, 3488, 4467, 1584, 11456, 28185, 537, 15079, 8339, 8971, 263, 527, 839, 314, 28669, 11456, 8079, 3418, 2745, 3488, 297, 690, 11456, 28185, 537, 15079, 8339, 8971, 263, 527, 839, 14728, 690, 11456, 8079, 3418, 2745, 3488, 268, 8782, 2608, 476, 1556, 10142, 604, 1939, 11456, 2652, 476, 271, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 272, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 273, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 274, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 275, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 1422, 2765, 346, 2412, 2410, 3607, 15732, 272, 269, 22217, 1518, 519, 4611, 6824, 692, 3086, 267, 649, 14458, 4399, 2765, 346, 2412, 2410, 3607, 4151, 676, 4466, 519, 6574, 1455, 27708, 630, 294, 7374, 264, 540, 476, 2412, 543, 476, 3607, 269, 634, 717, 7374, 568, 476, 275, 780, 291, 1204, 532, 1312, 519, 19362, 543, 519, 14009, 676, 476, 275, 3947, 721, 281, 6695, 2765, 346, 2412, 1422, 15965, 476, 275, 2410, 3607, 1422, 15965, 476, 275, 348, 815, 1422, 2765, 346, 1015, 2410, 280, 15732, 763, 1267, 540, 12270, 4399, 2765, 346, 276, 2410, 1321, 4151, 676, 4399, 2765, 346, 274, 2410, 279, 4151, 568, 4399, 2765, 346, 1015, 2410, 280, 23201, 0, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 692, 21902, 540, 5276, 16526, 692, 288, 1305, 540, 1079, 610, 811, 16526, 780, 21902, 540, 5276, 4834, 692, 288, 1305, 540, 1079, 610, 811, 4834, 780, 11764, 540, 3017, 540, 1079, 18695, 692, 4131, 1269, 320, 259, 543, 1269, 321, 259, 581, 1483, 2338, 267, 4632, 267, 610, 15821, 7215, 563, 272, 269, 3230, 3189, 3944, 346, 7684, 2410, 320, 317, 274, 348, 1341, 2715, 321, 317, 274, 348, 815, 1422, 3847, 263, 2715, 320, 1341, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 346, 320, 317, 273, 348, 1107, 705, 1341, 2715, 321, 317, 273, 3686, 1422, 2431, 14638, 476, 273, 269, 3230, 3189, 3944, 346, 7684, 2410, 320, 317, 274, 348, 1107, 2715, 321, 317, 274, 348, 815, 1422, 3847, 263, 2715, 320, 1107, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 346, 320, 317, 273, 348, 1341, 705, 1341, 2715, 321, 317, 273, 3686, 1422, 2431, 264, 9681, 11764, 543, 3017, 540, 1079, 2474, 692, 4131, 1269, 320, 259, 543, 1269, 321, 259, 581, 1483, 2338, 267, 4632, 267, 610, 15821, 7215, 269, 6695, 3847, 263, 2715, 320, 1341, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 320, 1107, 536, 348, 1422, 2431, 264, 815, 2715, 320, 317, 273, 348, 1107, 2715, 321, 317, 273, 15732, 11764, 692, 763, 1267, 950, 1079, 610, 811, 2338, 616, 3773, 780, 8138, 339, 24219, 835, 8870, 689, 1776, 692, 11754, 519, 6587, 540, 519, 8870, 1373, 10208, 539, 547, 519, 824, 8870, 780, 8138, 339, 24219, 8454, 609, 7429, 32159, 692, 305, 1168, 1679, 519, 8454, 865, 602, 789, 723, 899, 32159, 269, 3973, 946, 519, 4341, 585, 18946, 8454, 609, 899, 32159, 780, 8138, 339, 24219, 8454, 609, 899, 32159, 692, 4131, 1269, 320, 8961, 1269, 321, 8961, 543, 1269, 322, 259, 581, 9981, 609, 1269, 322, 2330, 7445, 928, 2330, 271, 269, 3973, 946, 519, 1739, 4341, 281, 6695, 2765, 21151, 2410, 322, 348, 1107, 1422, 2765, 15830, 2410, 322, 348, 815, 1422, 2765, 13997, 320, 1107, 536, 12453, 322, 6525, 780, 8138, 339, 3555, 3959, 540, 16526, 692, 8138, 339, 847, 519, 1482, 7274, 1106, 1142, 2427, 269, 1403, 3230, 320, 2999, 536, 2330, 2073, 1287, 3230, 320, 1341, 524, 2999, 536, 1341, 524, 29634, 24092, 1106, 540, 513, 9971, 692, 4131, 3230, 346, 320, 5332, 9574, 3189, 3944, 346, 7684, 2410, 320, 3709, 333, 1107, 476, 272, 3686, 267, 3189, 3944, 346, 31998, 2507, 267, 3189, 3944, 346, 7684, 2410, 320, 318, 273, 9574, 3189, 3944, 346, 7684, 2410, 320, 318, 272, 9574, 3189, 3944, 346, 7684, 2410, 320, 318, 271, 6525, 581, 1483, 2338, 543, 1577, 562, 581, 513, 1875, 2942, 1297, 269, 11352, 519, 2474, 609, 27312, 23055, 563, 259, 346, 320, 5332, 2410, 343, 18898, 348, 1341, 2715, 320, 3709, 333, 1107, 476, 272, 12453, 343, 3867, 333, 1107, 476, 272, 3686, 1341, 2560, 1341, 2715, 320, 318, 273, 2410, 343, 317, 273, 348, 1341, 2715, 320, 318, 272, 26507, 1341, 2715, 320, 318, 271, 10592, 10908, 27443, 281, 590, 0, 24066, 10663, 476, 277, 1341, 476, 280, 383, 371, 274, 265, 277, 454, 9223, 454, 338, 454, 24314, 6643, 454, 27165, 281, 21414, 476, 277, 1341, 476, 280, 383, 371, 274, 265, 277, 692, 2171, 1122, 344, 281, 476, 280, 270, 8287, 284, 476, 272, 270, 278, 454, 323, 758, 573, 758, 328, 347, 32622, 476, 276, 2420, 347, 692, 27165, 281, 21414, 476, 274, 263, 277, 9984, 275, 347, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 692, 2171, 1122, 344, 281, 476, 279, 910, 347, 268, 279, 347, 815, 476, 279, 268, 279, 815, 476, 271, 454, 1372, 16818, 329, 518, 787, 347, 32622, 476, 275, 2537, 7597, 347, 692, 27165, 281, 476, 274, 265, 277, 8987, 275, 31206, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 692, 2171, 1122, 344, 281, 476, 274, 265, 277, 8987, 275, 31206, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 634, 2626, 568, 910, 5379, 780, 9223, 454, 305, 908, 692, 26524, 4280, 676, 519, 1482, 21233, 454, 24169, 1923, 273, 343, 1341, 476, 276, 2008, 2171, 1122, 344, 281, 1535, 815, 910, 276, 14871, 281, 16534, 1923, 273, 343, 1341, 476, 276, 347, 910, 272, 270, 273, 348, 1284, 1122, 344, 281, 910, 276, 14871, 281, 21414, 476, 277, 1341, 476, 280, 383, 371, 274, 6440, 277, 630, 5415, 994, 9223, 454, 24993, 476, 278, 270, 2641, 270, 1001, 275, 476, 275, 281, 736, 281, 1839, 6751, 454, 347, 273, 343, 1341, 476, 276, 347, 2999, 476, 275, 3248, 273, 343, 1341, 476, 276, 2999, 476, 275, 3248, 273, 343, 2999, 476, 275, 910, 476, 276, 3248, 273, 343, 2999, 910, 272, 3248, 343, 2999, 910, 272, 270, 273, 692, 273, 343, 1341, 476, 276, 2999, 910, 275, 3248, 273, 343, 2999, 910, 275, 910, 476, 276, 3248, 273, 343, 2999, 910, 280, 3248, 343, 2999, 910, 280, 270, 273, 692, 268, 280, 270, 273, 2999, 1535, 2999, 910, 272, 270, 273, 454, 277, 1341, 476, 280, 21680, 476, 274, 5788, 476, 277, 454, 284, 476, 277, 1341, 476, 274, 5788, 476, 277, 454, 284, 476, 277, 1341, 476, 1240, 454, 284, 476, 2190, 454, 8110, 845, 519, 8612, 5106, 269, 630, 277, 343, 317, 273, 266, 275, 343, 268, 1321, 9984, 263, 274, 343, 317, 273, 266, 280, 343, 268, 279, 264, 14871, 281, 16534, 910, 276, 1341, 476, 275, 343, 815, 476, 3066, 14871, 281, 21414, 1923, 279, 347, 1341, 1923, 268, 274, 347, 910, 476, 278, 8987, 276, 994, 2171, 1122, 344, 281, 634, 2626, 568, 476, 277, 8987, 274, 9984, 347, 268, 276, 347, 266, 347, 274, 347, 15871, 736, 14871, 281, 1403, 535, 3287, 264, 815, 476, 274, 343, 317, 273, 266, 272, 1265, 535, 263, 277, 264, 1284, 1122, 344, 281, 476, 280, 343, 317, 275, 269, 1403, 596, 616, 13854, 609, 1250, 2626, 267, 5225, 4945, 1412, 14187, 262, 593, 519, 16863, 269, 11289, 596, 256, 14871, 281, 476, 273, 320, 317, 273, 630, 5415, 994, 9223, 454, 24993, 476, 278, 270, 2641, 270, 1001, 275, 476, 275, 281, 1428, 281, 3451, 6751, 454, 263, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 1321, 264, 910, 630, 274, 343, 317, 273, 1341, 476, 280, 343, 910, 476, 279, 994, 284, 630, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 1321, 264, 1341, 11196, 274, 343, 317, 273, 910, 476, 280, 343, 1341, 476, 279, 994, 284, 476, 274, 343, 317, 273, 910, 476, 276, 343, 910, 476, 275, 454, 268, 276, 1341, 476, 275, 343, 815, 476, 3066, 3248, 275, 343, 815, 476, 3066, 1341, 476, 276, 3248, 275, 343, 815, 476, 4097, 3248, 343, 815, 476, 4097, 270, 275, 3248, 343, 815, 476, 1704, 270, 273, 454, 347, 279, 347, 1341, 1923, 268, 274, 347, 910, 476, 278, 8987, 276, 994, 284, 476, 279, 1341, 476, 274, 1341, 476, 3374, 454, 284, 476, 1556, 1341, 476, 3374, 454, 284, 476, 5379, 454, 325, 3287, 264, 815, 476, 274, 343, 317, 273, 266, 272, 267, 535, 263, 277, 2020, 325, 263, 277, 264, 815, 476, 274, 263, 277, 8203, 273, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 274, 263, 3607, 264, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 10482, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 11820, 454, 3374, 267, 12208, 267, 22650, 454, 28082, 22062, 725, 454, 2690, 1142, 10145, 267, 2328, 513, 2262, 602, 568, 606, 1884, 7716, 540, 519, 24495, 545, 1242, 4429, 2171, 1122, 344, 281, 476, 272, 269, 1261, 7948, 1405, 7703, 519, 4411, 540, 14522, 1310, 2713, 538, 519, 3002, 540, 7147, 269, 1261, 814, 1044, 15034, 540, 17403, 267, 855, 649, 4429, 26524, 476, 272, 476, 1015, 281, 19130, 538, 519, 10145, 2230, 609, 606, 1884, 7716, 540, 519, 4429, 2171, 1122, 344, 281, 476, 272, 269, 1261, 7948, 1405, 7703, 519, 4411, 540, 14522, 1310, 2713, 538, 519, 3002, 540, 7147, 269, 1261, 814, 1044, 15034, 540, 17403, 267, 855, 649, 4429, 1693, 13090, 2270, 2673, 547, 476, 3583, 260, 540, 782, 519, 4195, 1216, 593, 3047, 269, 12223, 13090, 4429, 2171, 1122, 344, 281, 3794, 659, 4536, 2270, 2673, 547, 476, 3583, 260, 540, 782, 519, 4195, 1216, 593, 3047, 269, 6489, 11761, 568, 1034, 1455, 538, 6366, 267, 11953, 2127, 4429, 763, 12223, 13090, 1900, 540, 519, 1603, 1184, 14122, 4947, 909, 609, 2093, 269, 4429, 2171, 1122, 344, 281, 634, 11020, 10445, 532, 1900, 540, 519, 1603, 1184, 14122, 4947, 909, 609, 2093, 269, 634, 4058, 1900, 14122, 281, 4429, 763, 2185, 1292, 5301, 585, 4081, 1603, 616, 547, 12223, 13090, 267, 12223, 13090, 267, 4429, 2171, 1122, 344, 281, 634, 2185, 1292, 5301, 585, 4081, 1603, 616, 547, 22252, 267, 9373, 1555, 267, 6431, 340, 1228, 267, 543, 1230, 341, 1550, 563, 288, 6908, 521, 6991, 568, 12223, 13090, 693, 519, 5377, 543, 8728, 269, 589, 6908, 521, 4429, 2171, 1122, 344, 281, 589, 6908, 6991, 568, 3500, 652, 693, 519, 5377, 543, 8728, 563, 293, 650, 538, 519, 10145, 269, 2290, 540, 519, 1655, 4128, 547, 2328, 568, 547, 12223, 13090, 4429, 2171, 1122, 344, 281, 2290, 540, 519, 1655, 4128, 547, 2328, 568, 547, 2769, 1018, 649, 1589, 563, 306, 454, 299, 454, 32622, 476, 275, 866, 1496, 13707, 476, 275, 866, 316, 13158, 902, 476, 272, 22227, 476, 274, 4200, 769, 10903, 725, 476, 272, 6732, 454, 306, 454, 299, 454, 32622, 476, 18357, 1496, 13707, 476, 18357, 316, 13158, 902, 476, 275, 22227, 476, 27840, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 305, 454, 299, 454, 303, 454, 303, 454, 32622, 476, 26839, 1496, 13707, 476, 18458, 278, 316, 13158, 902, 476, 271, 22227, 476, 26839, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 305, 454, 32622, 476, 18684, 1496, 13707, 476, 10755, 276, 316, 13158, 902, 476, 271, 22227, 476, 3422, 769, 10903, 725, 476, 272, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 303, 454, 32622, 476, 5197, 1496, 13707, 476, 31404, 278, 316, 13158, 902, 476, 271, 22227, 476, 5197, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 15433, 1496, 13707, 476, 14093, 275, 316, 13158, 902, 476, 271, 22227, 476, 15433, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 14991, 1496, 13707, 476, 14991, 316, 13158, 902, 476, 271, 22227, 476, 14991, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 1911, 1496, 13707, 476, 1911, 316, 13158, 902, 476, 271, 22227, 476, 1911, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 6812, 1496, 13707, 476, 3607, 279, 316, 13158, 902, 476, 272, 22227, 476, 4366, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 32622, 476, 2004, 1496, 13707, 476, 24062, 275, 316, 13158, 902, 476, 276, 22227, 476, 271, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 258, 14581, 6435, 281, 7351, 13251, 538, 519, 8520, 692, 30475, 912, 272, 269, 4239, 476, 1626, 267, 476, 1001, 277, 692, 2162, 4779, 523, 4614, 692, 272, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9574, 24877, 279, 267, 271, 9574, 24877, 1015, 267, 274, 9574, 24877, 273, 267, 273, 9574, 24877, 1015, 267, 275, 3686, 3248, 842, 562, 815, 476, 1240, 3248, 19066, 283, 4812, 285, 1267, 3248, 14310, 815, 1265, 3519, 557, 343, 295, 1638, 263, 9557, 267, 562, 11850, 322, 719, 24177, 834, 289, 895, 776, 2798, 540, 23756, 26083, 616, 281, 834, 28843, 754, 331, 3248, 19066, 283, 4812, 285, 15311, 3438, 1807, 621, 16963, 1721, 263, 527, 815, 1267, 269, 8218, 3890, 282, 621, 256, 284, 14310, 269, 754, 3890, 282, 621, 10030, 994, 322, 719, 24177, 834, 2891, 24177, 621, 15010, 343, 24177, 14307, 834, 24177, 527, 15010, 344, 24177, 8442, 834, 3248, 10926, 1012, 19243, 692, 289, 895, 776, 2798, 540, 23756, 26083, 616, 912, 8987, 280, 267, 910, 276, 264, 11196, 1015, 267, 476, 274, 264, 11196, 1015, 267, 476, 275, 264, 11196, 278, 267, 476, 279, 264, 630, 279, 267, 476, 277, 264, 630, 279, 267, 910, 278, 264, 630, 277, 267, 910, 1015, 994, 24993, 593, 476, 1704, 11219, 684, 268, 1708, 271, 476, 6021, 281, 2918, 281, 1626, 0, 2162, 6168, 769, 2091, 540, 606, 5890, 11228, 1315, 8298, 15162, 6193, 9577, 1384, 1103, 930, 2665, 267, 649, 786, 991, 547, 1265, 519, 11201, 540, 606, 12825, 1599, 281, 535, 3287, 264, 1109, 284, 1109, 1314, 267, 1141, 513, 568, 3152, 982, 4642, 543, 513, 568, 711, 3160, 547, 476, 272, 269, 3958, 267, 649, 949, 991, 547, 1265, 519, 11201, 540, 513, 32568, 1599, 281, 535, 3287, 264, 1109, 284, 1109, 331, 7541, 3287, 1070, 1141, 513, 568, 3152, 982, 4642, 267, 513, 568, 711, 3160, 547, 476, 272, 267, 543, 1535, 568, 3152, 982, 4642, 780, 14818, 20505, 454, 1892, 23227, 622, 519, 2702, 547, 1265, 519, 11201, 540, 606, 12825, 1599, 454, 1892, 23227, 622, 519, 2702, 547, 1265, 519, 11201, 540, 513, 32568, 1599, 454, 1103, 2091, 540, 606, 5890, 11228, 1315, 8298, 15162, 6193, 9577, 6657, 4530, 1384, 258, 272, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 8421, 3709, 274, 12917, 343, 317, 274, 1341, 476, 273, 264, 1341, 476, 278, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 278, 8421, 3709, 273, 12917, 343, 910, 476, 274, 264, 910, 476, 274, 9681, 258, 273, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 8421, 3709, 274, 348, 8987, 274, 343, 910, 476, 277, 264, 910, 476, 275, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 3847, 7268, 2765, 346, 275, 28682, 1341, 476, 275, 2410, 275, 4153, 2431, 8203, 3189, 2765, 346, 272, 2410, 275, 3686, 9681, 258, 274, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 3847, 7268, 2765, 346, 275, 28682, 910, 476, 273, 2410, 268, 275, 4153, 2431, 8203, 3189, 2765, 346, 272, 2410, 275, 3686, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 24877, 272, 2410, 273, 3867, 343, 1341, 476, 273, 3686, 9681, 258, 275, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 275, 28682, 1341, 476, 275, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 277, 28682, 2410, 273, 15732, 258, 276, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 272, 7346, 6912, 314, 275, 31765, 274, 28682, 3686, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 275, 1422, 10383, 476, 274, 28682, 1341, 476, 272, 2410, 274, 28682, 15732, 24309, 10298, 1384, 258, 272, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 21174, 6912, 314, 274, 31765, 274, 3867, 343, 910, 476, 278, 18511, 476, 273, 15732, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 273, 17353, 2765, 12757, 1341, 476, 274, 2410, 278, 3686, 266, 476, 274, 9681, 258, 273, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 21174, 2765, 346, 274, 3867, 343, 1341, 476, 275, 15396, 476, 277, 2410, 268, 274, 15732, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 12917, 275, 343, 317, 275, 910, 476, 275, 264, 9681, 258, 274, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 348, 8987, 275, 343, 317, 275, 1341, 476, 273, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 273, 3686, 8987, 275, 343, 264, 9681, 258, 275, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 12917, 343, 910, 476, 275, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 277, 12917, 273, 343, 264, 9681, 258, 276, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 274, 3686, 263, 343, 317, 275, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 274, 3686, 263, 343, 910, 476, 275, 14638, 0, 1432, 1131, 596, 899, 547, 798, 2496, 258, 1548, 1297, 538, 519, 3126, 568, 4636, 543, 1058, 581, 8719, 476, 273, 476, 275, 476, 279, 476, 1626, 476, 736, 476, 2420, 476, 4510, 476, 5379, 2496, 2971, 2907, 6818, 780, 25898, 596, 899, 547, 19467, 713, 2243, 883, 621, 2496, 2971, 2907, 6818, 607, 606, 14595, 540, 713, 2243, 780, 25898, 596, 899, 547, 1118, 621, 519, 3119, 543, 19467, 713, 2243, 883, 621, 2496, 2971, 6818, 543, 568, 606, 14595, 540, 16317, 12179, 835, 540, 873, 1223, 581, 4636, 269, 10374, 540, 2542, 519, 2247, 540, 519, 1268, 945, 15054, 519, 2243, 267, 972, 568, 1100, 1259, 540, 8159, 799, 540, 519, 28222, 1082, 3435, 568, 519, 834, 322, 8091, 257, 835, 780, 2690, 1383, 2676, 273, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 912, 339, 3799, 264, 815, 11196, 2537, 265, 333, 317, 277, 1341, 476, 277, 3607, 265, 333, 317, 276, 910, 476, 3583, 272, 271, 265, 333, 317, 275, 1341, 476, 4375, 274, 1789, 265, 333, 317, 274, 910, 476, 14093, 26316, 265, 333, 317, 273, 1341, 476, 8687, 275, 4097, 265, 333, 910, 476, 8099, 26392, 8358, 5197, 543, 519, 2953, 1871, 568, 476, 3199, 282, 610, 454, 275, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1428, 269, 10170, 282, 610, 454, 279, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 275, 269, 272, 282, 610, 454, 1626, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1240, 269, 4097, 282, 610, 454, 736, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1704, 269, 8287, 282, 610, 454, 2420, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1839, 269, 9262, 282, 610, 454, 4510, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 3953, 269, 1691, 282, 610, 454, 5379, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 14096, 269, 8618, 563, 12648, 707, 4584, 256, 1656, 891, 616, 1152, 9971, 3435, 563, 734, 8894, 288, 1114, 1935, 912, 279, 568, 519, 1152, 1297, 4171, 2296, 2012, 6238, 609, 513, 20262, 910, 1689, 621, 547, 476, 278, 610, 476, 280, 563, 734, 8894, 306, 3225, 1113, 1935, 912, 3725, 2897, 476, 1626, 609, 476, 1015, 547, 1246, 519, 20367, 5311, 540, 1840, 1287, 8691, 676, 476, 273, 563, 273, 266, 273, 284, 275, 1535, 273, 284, 279, 1341, 273, 284, 1015, 1535, 273, 284, 736, 1341, 273, 284, 2420, 1535, 273, 284, 4510, 1341, 273, 284, 5379, 454, 1607, 729, 519, 3070, 4843, 676, 519, 3312, 2307, 518, 2235, 320, 476, 1220, 276, 563, 272, 1268, 1336, 713, 3730, 454, 12552, 585, 519, 5955, 2439, 258, 6904, 835, 540, 519, 2338, 538, 519, 3126, 568, 4636, 543, 1058, 581, 8719, 476, 273, 910, 476, 275, 910, 476, 279, 910, 476, 1626, 910, 476, 736, 910, 476, 2420, 910, 476, 4510, 910, 476, 5379, 2496, 1626, 1058, 581, 8719, 676, 476, 1015, 476, 450, 476, 450, 476, 272, 343, 273, 284, 273, 267, 476, 273, 266, 273, 284, 275, 267, 476, 275, 343, 273, 284, 279, 267, 476, 279, 266, 273, 284, 1015, 267, 476, 1015, 343, 273, 284, 736, 267, 476, 736, 266, 273, 284, 2420, 267, 476, 2420, 343, 273, 284, 4510, 267, 476, 4510, 266, 273, 284, 5379, 476, 450, 476, 450, 621, 1131, 3136, 281, 476, 450, 476, 450, 476, 10844, 267, 476, 11463, 267, 476, 6642, 267, 476, 5002, 267, 476, 23884, 267, 476, 4343, 273, 13718, 258, 6904, 1297, 1058, 2097, 1985, 538, 519, 3126, 476, 275, 476, 276, 476, 279, 476, 1704, 476, 4510, 2496, 450, 476, 450, 476, 276, 910, 476, 275, 815, 476, 272, 815, 476, 274, 317, 271, 476, 279, 910, 476, 276, 815, 476, 274, 815, 476, 274, 317, 272, 476, 1704, 910, 476, 279, 815, 476, 280, 815, 476, 274, 317, 273, 476, 4510, 268, 1704, 815, 476, 2767, 815, 476, 274, 317, 274, 2473, 910, 476, 4510, 815, 476, 274, 317, 275, 815, 476, 10037, 2473, 815, 476, 10219, 692, 4510, 692, 258, 654, 3558, 1058, 581, 5372, 538, 519, 5311, 476, 273, 476, 275, 476, 279, 476, 1626, 476, 736, 476, 2420, 2496, 450, 476, 450, 4270, 267, 594, 1175, 2119, 621, 281, 476, 273, 7132, 476, 273, 568, 476, 275, 476, 275, 7132, 476, 275, 568, 476, 279, 476, 279, 7132, 476, 279, 568, 476, 1626, 23645, 1341, 273, 2073, 1341, 275, 267, 1341, 279, 3767, 621, 781, 3478, 1447, 1586, 476, 1626, 7132, 476, 275, 568, 476, 736, 476, 736, 7132, 476, 273, 568, 476, 2420, 1656, 519, 1985, 530, 692, 450, 476, 450, 476, 12293, 692, 258, 1548, 568, 519, 654, 3994, 1297, 538, 713, 5311, 476, 273, 268, 275, 268, 279, 268, 1626, 268, 736, 268, 2420, 268, 4510, 268, 5379, 2496, 1626, 1058, 581, 476, 1015, 1317, 519, 4806, 568, 4946, 676, 476, 273, 1287, 14921, 676, 476, 273, 865, 1862, 476, 273, 1862, 476, 273, 266, 273, 284, 275, 1862, 476, 275, 265, 273, 284, 279, 1862, 476, 279, 266, 273, 284, 1015, 1862, 1205, 621, 543, 865, 593, 692, 258, 1548, 1297, 2501, 1985, 476, 272, 268, 273, 268, 275, 268, 279, 268, 1015, 268, 736, 268, 2420, 2496, 4510, 1317, 596, 1039, 1079, 543, 1287, 596, 9062, 676, 1079, 476, 272, 265, 273, 284, 273, 476, 273, 266, 273, 284, 275, 476, 275, 265, 273, 284, 279, 476, 279, 266, 273, 284, 1015, 476, 1015, 265, 273, 284, 736, 476, 736, 266, 273, 284, 2420, 476, 2420, 265, 273, 284, 4510, 1862, 31756, 692, 258, 13201, 891, 2338, 2479, 2097, 856, 593, 519, 13169, 476, 279, 476, 1724, 476, 736, 476, 2420, 476, 3374, 476, 4510, 2496, 11039, 19898, 952, 789, 723, 594, 1589, 621, 781, 1655, 596, 4769, 1405, 917, 827, 621, 269, 4033, 8797, 596, 1131, 581, 25588, 3054, 909, 585, 519, 1964, 540, 707, 1272, 530, 5109, 596, 2322, 519, 2338, 538, 19692, 780, 258, 3657, 972, 1022, 4636, 2338, 538, 713, 3126, 476, 273, 910, 476, 275, 910, 476, 279, 910, 476, 1626, 910, 476, 736, 910, 476, 2420, 910, 476, 4510, 910, 476, 5379, 2496, 6546, 5673, 593, 519, 4214, 540, 519, 1592, 269, 1403, 519, 1592, 729, 9277, 547, 1397, 513, 1305, 540, 2318, 1256, 9981, 538, 26799, 1931, 267, 1287, 621, 781, 7357, 2953, 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 ]
[ 267, 606, 20090, 1058, 7118, 519, 1981, 6954, 2557, 936, 519, 1576, 540, 519, 3923, 269, 634, 1942, 2221, 1590, 581, 3160, 547, 519, 2628, 4752, 31680, 693, 519, 1981, 6954, 2557, 585, 835, 3923, 269, 634, 3830, 547, 4194, 568, 3976, 1384, 29682, 3902, 815, 8096, 2004, 910, 8096, 3393, 1535, 552, 9745, 11196, 14490, 6954, 2557, 1535, 570, 1070, 1141, 552, 568, 519, 6310, 3586, 476, 273, 269, 278, 1240, 274, 692, 10112, 11167, 519, 1981, 6954, 2557, 568, 476, 274, 260, 829, 1032, 267, 543, 570, 11224, 476, 271, 269, 5400, 274, 274, 630, 821, 5258, 676, 476, 1321, 1070, 1287, 519, 3902, 540, 519, 1289, 4781, 2221, 568, 8096, 276, 269, 1556, 780, 18814, 547, 922, 2241, 543, 27952, 2497, 267, 519, 23481, 4781, 14499, 2203, 6799, 1978, 2189, 5383, 269, 1280, 1383, 267, 2094, 621, 2488, 513, 6908, 540, 3024, 725, 585, 513, 12045, 585, 1142, 6843, 538, 513, 12732, 540, 942, 267, 621, 568, 3730, 585, 3024, 532, 16755, 971, 607, 1977, 3681, 269, 898, 568, 849, 1454, 12863, 982, 824, 14499, 3631, 971, 607, 519, 4563, 4149, 3273, 525, 2203, 269, 0, 2005, 568, 4867, 476, 1839, 9484, 476, 1001, 278, 267, 476, 1556, 281, 4649, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 4962, 4924, 476, 1220, 279, 454, 15803, 281, 476, 2412, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 1321, 692, 3519, 1417, 1674, 281, 4937, 5004, 267, 6348, 16118, 454, 294, 5183, 281, 476, 274, 269, 10037, 454, 25446, 281, 6176, 5303, 630, 10890, 5516, 994, 2252, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1428, 281, 6246, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 17098, 692, 1492, 1079, 2055, 476, 14338, 543, 476, 14695, 616, 2186, 540, 24813, 263, 753, 9955, 2965, 2020, 2280, 803, 2322, 2243, 1934, 692, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 304, 14695, 264, 952, 1990, 10339, 333, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 12552, 454, 306, 778, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 1321, 692, 10048, 4526, 454, 16274, 281, 476, 2918, 2904, 476, 1220, 276, 454, 15803, 281, 476, 10711, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1626, 281, 2004, 454, 15884, 529, 3724, 5206, 912, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 560, 476, 272, 264, 642, 342, 910, 642, 317, 273, 815, 476, 271, 454, 341, 26028, 8686, 264, 815, 476, 271, 454, 309, 284, 271, 607, 530, 8686, 3112, 581, 4642, 607, 642, 267, 342, 616, 1114, 9981, 563, 560, 476, 273, 264, 530, 284, 273, 1547, 3502, 6190, 692, 288, 454, 20573, 2632, 946, 519, 1344, 2016, 538, 3948, 476, 272, 538, 3948, 476, 273, 607, 588, 476, 273, 1175, 1767, 530, 284, 273, 543, 4986, 827, 642, 2020, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 10048, 4526, 454, 16274, 281, 476, 2918, 2904, 476, 1220, 276, 454, 15803, 281, 476, 10711, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1626, 281, 6795, 454, 15884, 529, 3724, 5206, 1384, 304, 14695, 264, 952, 1990, 18898, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 560, 476, 272, 264, 562, 256, 284, 271, 454, 345, 15871, 272, 267, 562, 815, 476, 273, 267, 1990, 18898, 284, 272, 454, 345, 284, 272, 267, 562, 815, 476, 272, 267, 1990, 18898, 284, 272, 454, 8253, 6190, 454, 560, 476, 273, 264, 1990, 285, 271, 454, 8253, 6190, 454, 18474, 1456, 1990, 284, 272, 692, 290, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 2420, 5463, 476, 1220, 280, 454, 15803, 281, 476, 32579, 692, 20132, 19560, 476, 30329, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 3057, 476, 1001, 271, 267, 476, 1321, 281, 5325, 454, 15884, 529, 3724, 5206, 912, 17098, 692, 1492, 1079, 2055, 476, 14338, 543, 476, 14695, 616, 2186, 540, 24813, 263, 753, 9955, 2965, 2020, 2280, 803, 2322, 2243, 1934, 692, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 11693, 281, 642, 1948, 530, 630, 2254, 3160, 547, 994, 3674, 642, 815, 476, 271, 888, 288, 281, 642, 342, 815, 642, 317, 273, 454, 341, 26028, 8686, 264, 815, 476, 271, 267, 799, 1797, 2901, 642, 815, 271, 610, 642, 815, 530, 1862, 855, 2094, 621, 781, 2016, 642, 1948, 530, 267, 713, 1611, 642, 815, 476, 271, 269, 9747, 24639, 13697, 692, 289, 281, 530, 815, 476, 273, 454, 341, 1223, 581, 4376, 855, 476, 273, 2807, 8754, 10691, 24639, 13697, 1862, 780, 11997, 589, 780, 15884, 529, 3724, 5206, 912, 304, 14695, 264, 952, 1990, 10339, 333, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 12552, 454, 306, 778, 692, 326, 1508, 1990, 18898, 815, 476, 272, 454, 13196, 281, 1990, 815, 26042, 288, 264, 562, 1948, 476, 271, 4586, 17798, 1990, 18898, 815, 476, 272, 1797, 1990, 666, 581, 910, 272, 610, 1341, 272, 1317, 11196, 272, 8203, 273, 815, 476, 272, 543, 630, 272, 8203, 273, 815, 476, 272, 269, 9747, 3502, 24639, 13697, 692, 289, 264, 1990, 285, 271, 454, 8253, 22206, 1862, 607, 1990, 1223, 581, 4376, 780, 288, 266, 289, 815, 24639, 13697, 607, 1631, 1990, 666, 1152, 581, 476, 272, 952, 562, 1948, 476, 271, 780, 11997, 595, 563, 6303, 318, 692, 10267, 619, 2336, 297, 307, 5541, 2483, 2252, 579, 899, 1250, 2022, 32465, 2628, 3724, 538, 918, 16997, 256, 2439, 347, 2690, 10911, 3277, 25024, 14537, 10911, 6426, 347, 2690, 14662, 3277, 24607, 14662, 6651, 347, 692, 12527, 289, 21392, 22210, 4934, 1862, 20537, 674, 1228, 589, 3118, 12527, 692, 20132, 19560, 476, 30329, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 5231, 1496, 258, 21529, 316, 476, 6734, 3057, 476, 1001, 271, 267, 476, 1321, 281, 5325, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 2419, 476, 1724, 281, 1109, 22025, 1113, 543, 7167, 659, 13330, 538, 8212, 692, 19400, 3381, 4245, 593, 5122, 1761, 543, 31887, 547, 1451, 875, 606, 1843, 666, 4558, 606, 5122, 5279, 269, 3962, 3992, 568, 10483, 676, 513, 2110, 2789, 31547, 7688, 596, 666, 946, 547, 2638, 707, 1620, 540, 891, 3584, 780, 22025, 1113, 543, 7167, 659, 13330, 910, 3848, 12834, 543, 4804, 20505, 692, 1103, 713, 3184, 267, 596, 3513, 1451, 875, 606, 4948, 6221, 267, 899, 513, 6007, 267, 17838, 543, 8637, 5122, 1648, 269, 4635, 2653, 3562, 268, 16187, 23877, 267, 519, 14357, 786, 2491, 519, 1523, 540, 3167, 1761, 267, 610, 875, 2516, 540, 17401, 14095, 9901, 5536, 2170, 609, 1142, 824, 547, 798, 960, 269, 1411, 3513, 849, 1265, 856, 875, 6453, 568, 1031, 547, 2268, 3167, 1761, 543, 875, 1454, 960, 568, 12913, 676, 9901, 5536, 538, 606, 5122, 5547, 780, 7437, 519, 7044, 593, 31887, 267, 596, 666, 1451, 827, 519, 1114, 2010, 540, 5122, 3334, 602, 666, 4558, 606, 5122, 5279, 269, 7937, 332, 781, 4521, 786, 581, 5941, 267, 1519, 519, 2078, 3838, 676, 5122, 1699, 267, 4187, 543, 6453, 269, 1879, 596, 4312, 8737, 609, 519, 3184, 267, 596, 1058, 1174, 1384, 1892, 634, 2078, 1063, 606, 3167, 3196, 543, 606, 3167, 2361, 454, 1892, 1215, 6453, 2959, 666, 2981, 1114, 3029, 540, 1648, 883, 5122, 1648, 454, 1892, 634, 3069, 540, 3167, 1761, 267, 1519, 5279, 10070, 267, 7403, 543, 3604, 454, 1892, 7167, 659, 13330, 543, 29522, 267, 1519, 741, 2694, 543, 875, 789, 4558, 1648, 454, 1892, 7937, 332, 781, 4521, 607, 621, 12211, 547, 5201, 454, 1892, 634, 5122, 1761, 540, 26561, 543, 21384, 692, 21581, 11917, 16633, 454, 25821, 12197, 543, 519, 11873, 540, 932, 1618, 26368, 543, 4019, 519, 6935, 1063, 3167, 3196, 543, 3167, 2361, 563, 14157, 5653, 17796, 281, 6052, 23586, 543, 6201, 28097, 9075, 543, 875, 789, 6460, 3114, 1648, 883, 5122, 1761, 1648, 269, 10576, 519, 11718, 607, 606, 1383, 540, 513, 1455, 6453, 2707, 563, 25821, 15783, 23737, 543, 946, 519, 3069, 540, 3167, 1761, 1648, 547, 4194, 5726, 540, 1648, 2042, 563, 25821, 15783, 281, 932, 1618, 26888, 543, 5292, 339, 5149, 28097, 5279, 10070, 543, 875, 513, 9901, 9325, 814, 519, 1761, 547, 798, 960, 269, 11512, 519, 18699, 607, 513, 1770, 540, 5122, 1761, 563, 25821, 15783, 16338, 27855, 543, 5173, 519, 3167, 1761, 3017, 1063, 1079, 2798, 538, 513, 7833, 3167, 2361, 267, 543, 5815, 799, 1448, 568, 693, 519, 2362, 1761, 563, 22479, 659, 13330, 31711, 31887, 543, 519, 1770, 540, 31887, 267, 543, 2491, 875, 621, 12211, 547, 5279, 543, 6453, 269, 10576, 519, 2188, 602, 3313, 31887, 269, 16534, 6252, 13807, 622, 19218, 2042, 563, 23382, 5209, 540, 7167, 659, 6002, 26368, 519, 9030, 2694, 540, 513, 19218, 269, 9181, 519, 5383, 540, 543, 3604, 1063, 519, 2596, 2010, 540, 6378, 29522, 543, 4756, 29522, 269, 12433, 2698, 31887, 538, 6252, 543, 3126, 31887, 11387, 563, 21328, 853, 1819, 538, 513, 7167, 659, 3218, 27855, 519, 4070, 540, 513, 19218, 543, 875, 5279, 568, 6740, 269, 11512, 519, 19218, 942, 3586, 538, 2078, 547, 9823, 12123, 543, 17579, 532, 543, 875, 519, 19218, 10997, 543, 17579, 525, 950, 8028, 568, 4294, 563, 17764, 332, 781, 4521, 281, 9502, 543, 20556, 9737, 30579, 267, 7351, 543, 18650, 28097, 875, 6453, 267, 1699, 543, 4187, 616, 1644, 267, 607, 8612, 676, 7937, 332, 781, 4521, 563, 763, 15783, 540, 513, 1975, 1877, 2750, 8533, 519, 1648, 1761, 540, 513, 12106, 563, 763, 15783, 540, 513, 595, 2643, 5407, 2750, 8533, 519, 1648, 1761, 540, 513, 12718, 780, 1321, 16497, 538, 3848, 476, 1724, 281, 15783, 543, 7167, 659, 13330, 538, 8212, 454, 14818, 707, 1702, 609, 513, 476, 1789, 6709, 3878, 3184, 2259, 1449, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6793, 3347, 543, 5849, 1967, 1524, 519, 1899, 2439, 1103, 3932, 267, 7214, 3959, 2924, 1404, 513, 1713, 1909, 538, 8716, 5876, 267, 5647, 267, 543, 3356, 1247, 14785, 2043, 543, 4213, 2059, 519, 1259, 269, 14645, 267, 24977, 267, 543, 1875, 16162, 26918, 11650, 782, 3565, 547, 14637, 9345, 543, 4180, 5491, 4422, 1141, 621, 12851, 269, 11408, 5660, 543, 8661, 5169, 1275, 543, 11441, 547, 1020, 5499, 2093, 19100, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4504, 21526, 3959, 630, 7709, 264, 568, 513, 3407, 10697, 602, 666, 1683, 2043, 543, 4213, 609, 513, 8013, 6316, 269, 1717, 267, 1620, 519, 1950, 5251, 540, 7379, 666, 581, 4101, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 15382, 11286, 1935, 547, 7214, 3959, 2359, 543, 2491, 519, 16166, 2404, 609, 621, 563, 8139, 25827, 16296, 281, 589, 18043, 11137, 454, 8702, 547, 938, 3102, 7650, 540, 7214, 3959, 630, 7709, 1070, 1141, 649, 786, 5490, 883, 519, 2956, 540, 7379, 543, 2263, 519, 1114, 2010, 540, 7379, 2924, 602, 2043, 543, 4213, 666, 3489, 269, 25827, 3959, 568, 513, 4241, 543, 1950, 2361, 602, 4249, 513, 2629, 1909, 538, 5807, 5647, 267, 7863, 5876, 267, 543, 6117, 2804, 2208, 563, 763, 11957, 540, 25827, 16296, 454, 4504, 21526, 3959, 4016, 547, 519, 3656, 4027, 11292, 547, 13144, 540, 519, 2247, 267, 1519, 18563, 267, 6272, 267, 5339, 543, 7499, 1568, 267, 6698, 267, 543, 4408, 1031, 538, 16450, 269, 1452, 13144, 616, 519, 759, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 25827, 16296, 1315, 4937, 1315, 6348, 5937, 529, 26918, 13531, 906, 630, 21254, 2026, 1040, 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, 3848, 476, 1015, 281, 4197, 6314, 8839, 692, 5331, 596, 723, 1932, 1082, 9162, 538, 707, 4055, 267, 865, 1082, 602, 789, 2811, 838, 3739, 856, 540, 519, 11442, 4216, 543, 5196, 519, 6989, 269, 1411, 6430, 621, 781, 942, 547, 2973, 909, 267, 855, 3079, 540, 5402, 8380, 1142, 11442, 1394, 883, 519, 4216, 267, 596, 3274, 29746, 3388, 3330, 267, 15691, 602, 621, 786, 3514, 269, 6884, 267, 1498, 267, 930, 9162, 1205, 2695, 1639, 610, 7745, 1317, 789, 941, 2322, 538, 1416, 8393, 780, 5978, 4703, 616, 899, 602, 11442, 4216, 910, 3006, 1919, 979, 4636, 267, 543, 938, 2281, 1376, 12270, 796, 19055, 2406, 267, 2870, 1945, 649, 1289, 2860, 269, 1677, 4368, 713, 1966, 267, 7189, 946, 2027, 11955, 1572, 834, 17057, 8839, 1701, 3807, 899, 875, 596, 1522, 21199, 519, 11442, 4216, 547, 948, 3514, 782, 519, 9162, 3330, 267, 18068, 7575, 998, 519, 2898, 1560, 547, 1265, 543, 1521, 1022, 2860, 2281, 602, 1522, 581, 15720, 780, 3086, 267, 4952, 952, 596, 1185, 547, 4584, 909, 1169, 2582, 11442, 538, 707, 4055, 676, 3054, 269, 2334, 1131, 1491, 513, 1279, 942, 256, 6684, 267, 18068, 1568, 1655, 950, 621, 814, 948, 269, 10705, 267, 7189, 9192, 1114, 2010, 540, 2447, 334, 11955, 547, 1711, 513, 3532, 2319, 602, 666, 10994, 2860, 1034, 3927, 269, 1358, 1289, 713, 834, 18474, 1588, 18068, 3010, 3719, 7227, 1107, 3085, 1405, 24373, 519, 11442, 4216, 2182, 1981, 8840, 519, 9162, 286, 8786, 267, 19890, 267, 18068, 666, 1860, 824, 3728, 21212, 2281, 538, 938, 1560, 16310, 2860, 2281, 267, 971, 607, 4552, 32235, 610, 2281, 16298, 519, 5023, 543, 8937, 269, 901, 2164, 538, 10151, 2427, 2360, 267, 899, 9561, 4552, 610, 7680, 15353, 269, 1809, 1810, 1405, 5855, 1107, 891, 2635, 2281, 3335, 9156, 2899, 18068, 568, 936, 2439, 3383, 1946, 798, 1004, 3442, 18068, 952, 972, 616, 2427, 2360, 286, 4270, 267, 1589, 827, 1018, 4523, 950, 596, 6368, 9096, 12180, 707, 9162, 269, 2659, 4055, 5654, 1390, 267, 543, 596, 1745, 6126, 6616, 602, 1404, 5503, 786, 1631, 581, 1454, 4443, 269, 6684, 267, 18068, 2337, 2550, 1745, 1732, 538, 519, 1279, 2196, 267, 2901, 676, 14874, 741, 2860, 7357, 610, 4227, 922, 1764, 593, 741, 3232, 2729, 780, 1103, 5758, 267, 18068, 6411, 899, 513, 5363, 1907, 602, 22619, 625, 909, 13311, 2860, 2281, 2429, 519, 1560, 269, 4014, 621, 12212, 5540, 2635, 2281, 2059, 519, 1259, 267, 4929, 5634, 22303, 267, 3314, 602, 891, 2152, 8207, 936, 942, 269, 2060, 9639, 543, 1489, 689, 1920, 267, 2828, 267, 543, 2564, 4648, 267, 18068, 2488, 4126, 585, 6634, 540, 1004, 6849, 2860, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 14563, 609, 6314, 8839, 454, 1432, 568, 6314, 8839, 15017, 290, 1335, 8839, 568, 519, 2126, 540, 2860, 609, 5061, 602, 666, 6861, 2860, 2281, 269, 2859, 982, 835, 3075, 949, 581, 2285, 693, 835, 942, 269, 6314, 8839, 949, 849, 581, 1031, 538, 4999, 609, 6391, 543, 5982, 269, 898, 666, 581, 1031, 522, 10826, 2860, 610, 882, 633, 2589, 269, 6314, 8839, 10301, 782, 2694, 540, 519, 1560, 267, 711, 1175, 519, 2860, 2281, 563, 1692, 1281, 6314, 8839, 4518, 888, 31863, 2281, 1332, 543, 5884, 538, 513, 6417, 1259, 269, 1879, 2860, 2049, 267, 2281, 538, 519, 1560, 602, 616, 711, 3339, 1832, 12270, 543, 8108, 811, 2281, 1510, 1852, 269, 4165, 4618, 1356, 5061, 6861, 2860, 2281, 676, 16069, 873, 689, 3395, 610, 14921, 269, 13245, 2281, 666, 849, 581, 2800, 539, 267, 2523, 1346, 602, 7941, 3533, 269, 15053, 547, 2635, 2281, 568, 1018, 3123, 2427, 2360, 269, 1452, 2281, 2356, 7816, 2933, 1310, 18068, 563, 10303, 930, 5061, 960, 1732, 1927, 982, 4805, 267, 1079, 610, 811, 5061, 616, 1419, 2016, 693, 519, 1482, 942, 269, 901, 568, 1572, 4999, 18068, 563, 1432, 666, 6314, 8839, 798, 15017, 27039, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 26225, 4498, 14536, 543, 4825, 531, 2747, 1369, 519, 12745, 540, 14451, 4065, 4521, 692, 296, 269, 4985, 692, 295, 27941, 2069, 5238, 971, 607, 8109, 6115, 2160, 723, 513, 2189, 1909, 538, 5935, 2486, 676, 5807, 7214, 2208, 543, 5009, 4763, 269, 901, 5692, 2882, 2870, 606, 8537, 1565, 1604, 585, 782, 1053, 267, 1519, 1346, 609, 9124, 269, 1717, 267, 5103, 3646, 547, 3895, 13784, 267, 9659, 18275, 543, 1427, 531, 2747, 2611, 1713, 2152, 538, 1082, 9945, 2066, 519, 2197, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 891, 3584, 267, 3695, 741, 3656, 8847, 267, 6286, 267, 543, 1761, 3435, 269, 1284, 786, 849, 4983, 875, 9945, 666, 3666, 519, 991, 547, 2149, 519, 2924, 540, 2043, 609, 9124, 1996, 519, 3741, 540, 1863, 4633, 543, 4081, 5191, 780, 2862, 269, 20223, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 288, 269, 9502, 540, 26225, 4498, 14536, 692, 11514, 1464, 18275, 4016, 547, 1022, 7938, 4372, 2932, 1759, 593, 513, 1268, 781, 9659, 602, 5932, 513, 20935, 610, 29880, 3872, 1604, 269, 634, 2932, 1590, 581, 4049, 610, 24245, 2614, 547, 15936, 609, 519, 1367, 781, 2702, 547, 7119, 538, 610, 4324, 689, 519, 6280, 781, 3292, 610, 2238, 269, 6201, 540, 9659, 18275, 949, 1331, 11913, 6057, 267, 12932, 9179, 267, 2168, 6937, 267, 610, 23769, 2044, 9859, 693, 513, 1268, 1317, 540, 741, 9659, 780, 289, 269, 9502, 540, 4825, 531, 2747, 692, 305, 13926, 2747, 4386, 950, 2576, 3217, 8801, 2962, 1996, 1776, 1268, 945, 814, 7722, 538, 6870, 2534, 267, 971, 607, 25937, 513, 24255, 827, 9659, 7130, 610, 10283, 538, 606, 7634, 269, 1520, 2091, 3527, 1522, 1331, 26694, 267, 1629, 10056, 267, 20022, 267, 610, 17181, 689, 1978, 6280, 2238, 269, 898, 568, 1898, 547, 4063, 602, 1256, 952, 519, 3312, 24255, 729, 711, 1336, 547, 723, 20519, 267, 1427, 531, 2747, 3788, 796, 32016, 780, 7656, 269, 13751, 17563, 28259, 532, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 288, 269, 31999, 6465, 2373, 692, 17138, 4083, 540, 519, 4892, 609, 24894, 2920, 630, 4696, 288, 264, 10238, 1080, 9659, 7130, 676, 1857, 9988, 899, 9945, 269, 8791, 476, 27843, 540, 519, 29407, 2920, 540, 476, 3192, 274, 11498, 2147, 20038, 547, 23700, 540, 5313, 2883, 6351, 269, 8625, 267, 891, 4031, 2154, 9945, 547, 1683, 3160, 1569, 547, 2069, 543, 2327, 602, 1004, 609, 9124, 616, 711, 16271, 547, 25641, 2853, 267, 1519, 18275, 543, 1427, 531, 2747, 780, 289, 269, 8865, 4521, 3763, 906, 692, 290, 712, 1206, 723, 9846, 4371, 602, 9945, 723, 513, 10279, 547, 4431, 16425, 543, 3927, 547, 31482, 540, 9659, 18275, 269, 23299, 547, 798, 865, 1223, 1267, 538, 15668, 585, 519, 6280, 269, 1280, 1383, 267, 538, 16026, 642, 269, 3933, 19172, 6019, 8274, 540, 4065, 630, 1960, 280, 1070, 519, 10966, 7040, 3964, 602, 3506, 1223, 581, 25964, 585, 2875, 6823, 24713, 550, 18275, 952, 789, 941, 22393, 967, 27075, 547, 1634, 8320, 540, 18275, 269, 2859, 5063, 267, 538, 12722, 642, 269, 27257, 645, 323, 269, 540, 3447, 1421, 519, 18479, 22770, 18065, 5587, 1881, 602, 20982, 967, 29924, 10039, 1152, 950, 519, 1153, 6487, 540, 543, 17358, 519, 18275, 781, 10335, 610, 18094, 780, 4353, 269, 21344, 5131, 16594, 543, 14640, 6953, 541, 14536, 24727, 692, 26536, 885, 3068, 2591, 950, 13326, 519, 12721, 4690, 540, 1863, 4633, 543, 4550, 3620, 541, 14536, 4507, 269, 2201, 835, 1688, 267, 9945, 1590, 6536, 1930, 11407, 543, 7521, 282, 593, 519, 824, 267, 789, 1590, 2061, 20935, 5054, 602, 15641, 324, 519, 3872, 1995, 540, 1053, 609, 9124, 269, 30271, 3622, 5431, 602, 930, 7687, 593, 4633, 949, 581, 2556, 547, 2226, 1931, 543, 2327, 3160, 4316, 269, 11048, 267, 621, 568, 2629, 585, 9945, 547, 4739, 2312, 4507, 602, 5581, 19275, 2932, 1510, 1102, 2590, 532, 2390, 11156, 958, 6870, 7215, 780, 309, 269, 7454, 13756, 585, 18601, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 2414, 2232, 9659, 18275, 543, 1427, 531, 2747, 267, 9945, 1058, 2936, 1896, 1655, 2853, 267, 1519, 1384, 288, 269, 21278, 29615, 12930, 9751, 692, 293, 659, 8372, 267, 5234, 267, 543, 1053, 1058, 4309, 2834, 2866, 593, 9301, 543, 8989, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 6270, 5721, 902, 1058, 11168, 519, 2956, 540, 4509, 513, 16614, 543, 8537, 13464, 2528, 780, 289, 269, 26787, 13068, 27561, 31469, 692, 10743, 543, 5520, 1058, 917, 875, 547, 1867, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 29550, 1058, 3715, 2789, 18817, 585, 8989, 267, 4180, 22637, 8164, 2009, 780, 290, 269, 18430, 532, 32653, 15766, 725, 692, 5629, 513, 1867, 568, 1500, 267, 9945, 1058, 8495, 519, 3409, 8499, 543, 18836, 6053, 269, 7102, 1121, 539, 658, 3800, 3144, 1058, 2832, 547, 11177, 519, 4903, 7205, 5428, 781, 1569, 547, 519, 6280, 781, 3292, 610, 2238, 543, 15658, 2104, 20825, 780, 291, 269, 18964, 15511, 543, 8682, 7304, 1030, 3005, 692, 7661, 267, 9945, 1058, 5000, 5571, 5188, 1472, 9659, 2924, 543, 9021, 269, 1635, 14237, 513, 13464, 2916, 602, 2418, 10014, 267, 6568, 267, 543, 8994, 2463, 267, 9945, 666, 1732, 2061, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 3722, 476, 15094, 268, 13199, 268, 18089, 4985, 563, 292, 6141, 6115, 2160, 568, 606, 4081, 2146, 6131, 547, 3246, 6044, 538, 2362, 2069, 267, 14027, 1702, 998, 14172, 543, 1382, 267, 543, 3246, 1644, 2533, 547, 519, 2146, 563, 2026, 513, 1857, 9872, 540, 2362 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9950, 338, 295, 6359, 334, 291, 699, 11155, 3890, 23241, 20930, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 7183, 692, 15235, 28432, 23241, 20930, 19677, 269, 571, 714, 815, 7183, 692, 15235, 16596, 7183, 19638, 4848, 453, 258, 8008, 5746, 2177, 273, 9847, 23313, 1714, 12162, 334, 512, 1329, 324, 796, 554, 6359, 334, 454, 4848, 14851, 711, 3799, 29081, 11053, 1329, 324, 288, 3387, 657, 295, 6359, 657, 3890, 17107, 15235, 14851, 12162, 334, 9950, 338, 26244, 714, 3890, 23241, 20930, 19677, 269, 571, 714, 815, 12162, 334, 10947, 305, 580, 628, 3890, 610, 12162, 334, 10947, 29381, 30800, 15235, 453, 19197, 12162, 334, 9950, 338, 295, 6359, 334, 296, 345, 638, 1512, 4777, 3890, 23241, 20930, 14851, 12162, 334, 10947, 29381, 3890, 10778, 20930, 4848, 454, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 16000, 815, 12162, 334, 10947, 29381, 4590, 20930, 15235, 454, 20930, 453, 19197, 12162, 334, 10947, 305, 580, 628, 3890, 23241, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 16000, 815, 12162, 334, 10947, 305, 580, 628, 30800, 15235, 453, 19197, 12162, 334, 9950, 338, 295, 6359, 334, 291, 699, 11155, 3890, 23241, 20930, 14851, 12162, 334, 10947, 29381, 3890, 10778, 20930, 4848, 454, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 12162, 334, 10947, 29381, 4590, 20930, 15235, 454, 20930, 453, 19197, 12162, 334, 10947, 305, 580, 628, 3890, 23241, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 12162, 334, 10947, 305, 580, 628, 10797, 15235, 16596, 7183, 19638, 4848, 453, 258, 8008, 5746, 2177, 274, 9847, 12162, 334, 512, 1329, 324, 5605, 657, 554, 6359, 657, 454, 4848, 14851, 12162, 334, 11053, 1329, 324, 288, 3387, 657, 295, 6359, 657, 3890, 23241, 454, 15235, 453, 2381, 29381, 815, 1582, 269, 14725, 29381, 3799, 29081, 10947, 305, 580, 628, 15405, 15235, 453, 14513, 815, 1295, 29381, 17085, 1511, 454, 15235, 13537, 6600, 21202, 308, 311, 6579, 296, 2752, 815, 2715, 14513, 348, 8442, 3097, 20930, 454, 15235, 19677, 6155, 601, 301, 29081, 263, 2381, 29381, 17085, 1511, 2020, 15235, 453, 333, 29081, 17085, 1511, 815, 18559, 692, 15235, 16596, 7183, 692, 20930, 692, 453, 28432, 23241, 4848, 13537, 2891, 601, 715, 29081, 3143, 1401, 626, 324, 8442, 8528, 692, 453, 692, 22592, 2196, 29381, 4311, 267, 986, 714, 264, 23241, 453, 14851, 986, 714, 10947, 29381, 3890, 568, 711, 7183, 23241, 4848, 16596, 1582, 269, 14725, 29381, 263, 571, 714, 10947, 29381, 31156, 453, 16596, 986, 714, 454, 4848, 476, 28768, 4848, 476, 4848, 454, 4848, 476, 15235, 454, 28768, 28768, 22592, 6449, 1326, 14403, 9191, 1345, 267, 804, 1511, 264, 10778, 4848, 476, 453, 3097, 4848, 3097, 4848, 2132, 1582, 10947, 263, 743, 1511, 264, 28768, 4848, 476, 453, 3097, 453, 476, 453, 476, 28768, 453, 476, 453, 3097, 453, 476, 453, 3097, 453, 476, 453, 3097, 453, 3097, 453, 3097, 22592, 6449, 3553, 14403, 9191, 1345, 267, 804, 1511, 267, 1871, 264, 10778, 453, 476, 28768, 453, 476, 4848, 454, 453, 476, 28768, 453, 476, 19677, 269, 698, 2958, 541, 263, 743, 1511, 267, 1871, 264, 28768, 4848, 19638, 692, 258, 14673, 5028, 632, 3288, 804, 848, 1547, 4848, 7531, 3698, 538, 867, 523, 263, 541, 2513, 264, 10778, 20930, 454, 14851, 818, 2513, 568, 711, 7183, 10778, 20930, 454, 4848, 453, 514, 867, 523, 263, 541, 2513, 16000, 994, 15235, 454, 4848, 13537, 263, 541, 2513, 17085, 1511, 994, 4848, 453, 514, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 15235, 692, 3698, 840, 867, 523, 263, 541, 2513, 264, 10778, 20930, 454, 453, 14851, 818, 2513, 568, 711, 7183, 10778, 20930, 454, 15235, 13537, 263, 541, 2513, 17085, 1511, 994, 15235, 453, 2181, 867, 523, 263, 541, 2513, 16000, 994, 15235, 453, 2181, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 20930, 454, 20930, 4848, 7531, 3698, 2022, 867, 523, 263, 541, 2513, 264, 10778, 4848, 454, 28768, 14851, 818, 2513, 568, 711, 7183, 10778, 4848, 454, 453, 453, 14006, 867, 523, 263, 541, 2513, 16000, 994, 453, 453, 14006, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 453, 13537, 263, 541, 2513, 17085, 1511, 264, 4848, 454, 20930, 454, 20930, 4848, 454, 20930, 20930, 4848, 692, 4848, 692, 541, 2513, 815, 10326, 289, 2435, 4590, 541, 2513, 314, 1015, 316, 815, 834, 288, 4840, 541, 2513, 314, 276, 316, 815, 834, 289, 4840, 541, 2513, 314, 1428, 316, 815, 834, 290, 4840, 541, 2513, 314, 274, 316, 815, 834, 291, 4840, 541, 2513, 314, 278, 316, 815, 834, 292, 4840, 541, 2513, 314, 1321, 316, 815, 834, 293, 4840, 541, 2513, 314, 736, 316, 815, 834, 294, 5016, 692, 514, 867, 523, 263, 541, 2513, 269, 571, 714, 9239, 541, 2513, 6155, 601, 301, 29081, 263, 1428, 2020, 2745, 10797, 514, 867, 523, 263, 541, 2513, 269, 571, 714, 264, 3097, 20930, 20930, 20930, 454, 20930, 20930, 454, 18257, 692, 453, 453, 1428, 692, 15235, 453, 279, 454, 15235, 1315, 672, 1422, 8587, 986, 714, 815, 476, 279, 454, 15235, 476, 278, 8587, 476, 280, 672, 476, 714, 336, 815, 476, 277, 454, 4848, 567, 1315, 567, 1422, 476, 1315, 567, 1422, 567, 3541, 815, 476, 278, 454, 4848, 567, 476, 277, 825, 476, 278, 476, 279, 567, 476, 1556, 454, 4848, 1315, 567, 26444, 453, 453, 274, 825, 476, 277, 692, 18257, 692, 2745, 2891, 295, 7637, 631, 1495, 334, 257, 9239 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5645, 856, 547, 3715, 519, 9477, 7130, 540, 519, 1826, 476, 3445, 272, 16986, 269, 1452, 9863, 602, 519, 16986, 2838, 513, 9668, 540, 476, 736, 3764, 540, 9095, 630, 271, 6440, 3451, 4113, 264, 1063, 1079, 9072, 547, 581, 2111, 547, 3950, 2901, 540, 873, 1510, 795, 7867, 282, 713, 729, 3368, 519, 10567, 1871, 267, 543, 729, 2663, 4389, 547, 476, 1240, 3764, 540, 9095, 269, 634, 16986, 1223, 13974, 4628, 5806, 3729, 1063, 9072, 609, 513, 2039, 9668, 540, 1152, 476, 4037, 18126, 563, 22873, 6053, 519, 7392, 476, 3445, 272, 781, 11601, 1184, 729, 8261, 607, 519, 3077, 9477, 13409, 729, 1454, 7522, 518, 982, 2901, 519, 7392, 476, 4200, 273, 610, 454, 30116, 2234, 1513, 19034, 547, 519, 6019, 4147, 6861, 619, 269, 634, 7323, 850, 20229, 630, 13270, 264, 2798, 547, 513, 3077, 593, 519, 27010, 1473, 1709, 5149, 630, 2316, 308, 994, 5891, 269, 634, 30263, 308, 11346, 17176, 689, 1412, 1056, 2421, 262, 547, 1412, 338, 548, 342, 262, 543, 3096, 1010, 7772, 22496, 547, 2322, 513, 15262, 588, 549, 2041, 5196, 519, 16079, 269, 1879, 519, 16079, 454, 529, 588, 549, 5523, 646, 17176, 547, 1412, 10177, 1188, 262, 543, 5359, 1412, 10177, 9535, 262, 543, 17176, 547, 10081, 13652, 1188, 950, 4712, 269, 4495, 9477, 814, 3323, 519, 7323, 850, 454, 6944, 1503, 20229, 24864, 1010, 1376, 3406, 7735, 543, 519, 3406, 4806, 6238, 269, 634, 570, 306, 12427, 630, 288, 25534, 543, 681, 836, 564, 6033, 264, 7747, 741, 454, 4134, 680, 904, 282, 950, 606, 16079, 568, 2938, 519, 13667, 518, 17176, 547, 1412, 21652, 262, 543, 1287, 3217, 1852, 540, 519, 7392, 476, 3445, 272, 543, 1065, 657, 1431, 621, 865, 621, 568, 3168, 454, 520, 519, 3077, 269, 1879, 519, 3077, 556, 22190, 8986, 519, 681, 836, 564, 6033, 7575, 1010, 2039, 588, 549, 2041, 547, 5447, 609, 519, 16079, 282, 1312, 12427, 2824, 1412, 2246, 334, 2039, 7055, 663, 1412, 2246, 334, 2832, 3299, 3077, 11601, 568, 2347, 563, 1607, 5650, 267, 799, 568, 5693, 1759, 593, 4505, 4550, 25101, 8154, 7784, 1676, 344, 2553, 267, 3576, 827, 476, 736, 547, 476, 1789, 7643, 563, 7712, 1603, 713, 594, 723, 1044, 30409, 676, 513, 5449, 13667, 518, 945, 7150, 602, 609, 2259, 519, 6887, 1223, 3035, 11601, 1369, 454, 763, 7392, 476, 3445, 272, 16986, 814, 1614, 5094, 16986, 10141, 1562, 799, 2154, 547, 581, 15427, 538, 513, 17386, 5311, 543, 693, 11996, 1644, 547, 519, 454, 13318, 656, 10389, 2990, 540, 519, 598, 673, 11571, 269, 634, 5311, 540, 20512, 568, 5219, 547, 607, 519, 834, 2004, 273, 13942, 4806, 8487, 763, 11018, 19215, 781, 8095, 1676, 630, 6518, 568, 5219, 547, 607, 519, 834, 24490, 8095, 1676, 257, 11479, 513, 1167, 267, 519, 18592, 540, 799, 11438, 476, 1839, 8449, 454, 4944, 3166, 7522, 17446, 540, 18665, 2173, 13926, 269, 589, 6378, 11275, 543, 4584, 5346, 16509, 616, 15841, 2282, 519, 13020, 344, 540, 519, 1167, 267, 543, 713, 11460, 568, 454, 516, 31084, 547, 607, 519, 834, 332, 8568, 9594, 4384, 1807, 257, 543, 7472, 476, 1839, 27510, 20512, 829, 4838, 540, 519, 598, 673, 11571, 910, 773, 693, 513, 6378, 17279, 454, 3433, 540, 630, 1839, 343, 6110, 271, 8358, 2568, 815, 14917, 278, 20512, 829, 2034, 269, 2290, 540, 891, 20512, 568, 11231, 547, 2049, 4010, 693, 834, 9008, 4666, 8998, 257, 540, 519, 598, 673, 11571, 267, 543, 454, 529, 1500, 513, 5595, 13942, 865, 602, 621, 666, 581, 4857, 563, 763, 13942, 11718, 3096, 713, 547, 5352, 1079, 20512, 689, 519, 11018, 19215, 609, 513, 9668, 540, 476, 273, 267, 476, 275, 610, 476, 277, 2890, 572, 6948, 4553, 676, 606, 454, 3225, 958, 22274, 6292, 689, 519, 5583, 19215, 267, 519, 2347, 1895, 540, 2185, 20512, 1373, 18980, 1355, 958, 942, 1110, 4327, 693, 513, 4908, 540, 476, 5780, 476, 273, 270, 274, 454, 295, 1068, 345, 609, 513, 5021, 942, 32751, 542, 540, 5788, 4037, 2890, 572, 6948, 269, 901, 568, 834, 335, 592, 572, 2990, 25244, 257, 26922, 547, 5123, 25244, 538, 8723, 454, 23890, 2259, 269, 898, 2164, 538, 519, 834, 13318, 656, 10389, 17279, 2557, 257, 540, 519, 11018, 28621, 4575, 13942, 1895, 8795, 538, 13076, 609, 454, 1492, 2990, 540, 519, 598, 673, 11571, 282, 538, 713, 1259, 1344, 568, 10299, 547, 519, 23828, 799, 267, 538, 1198, 267, 6087, 519, 2990, 540, 519, 598, 673, 454, 2675, 534, 547, 581, 25735, 538, 519, 23828, 20547, 1062, 563, 763, 1530, 553, 29888, 1062, 729, 2838, 547, 581, 1766, 762, 538, 513, 2647, 2039, 540, 20296, 5054, 282, 713, 3769, 11848, 2175, 609, 454, 1492, 1981, 540, 4672, 8108, 593, 519, 2627, 540, 519, 7392, 476, 3445, 272, 16986, 267, 799, 1131, 16094, 1860, 922, 2773, 269, 6034, 3167, 454, 515, 908, 540, 519, 540, 519, 3068, 540, 519, 2234, 877, 729, 2808, 543, 15653, 267, 607, 729, 9940, 3905, 25101, 8022, 282, 519, 8545, 1131, 723, 454, 320, 8445, 630, 1084, 8792, 264, 4452, 540, 476, 1220, 330, 310, 256, 769, 519, 1439, 513, 2484, 811, 19782, 1190, 3070, 729, 5697, 267, 1210, 519, 24353, 3002, 540, 12760, 563, 6624, 3114, 6547, 616, 608, 1278, 6193, 267, 543, 835, 568, 519, 4744, 6295, 540, 20342, 3154, 883, 1216, 269, 634, 3154, 568, 10398, 539, 547, 519, 13020, 344, 454, 1993, 519, 2234, 727, 543, 1287, 998, 2890, 9055, 1063, 519, 1292, 2627, 543, 513, 24338, 1283, 4494, 998, 799, 519, 20342, 1223, 454, 1348, 1176, 829, 3712, 622, 269, 2201, 3346, 609, 519, 4672, 621, 1131, 1376, 547, 23271, 543, 5391, 4733, 3002, 269, 18873, 593, 513, 2203, 538, 606, 476, 6005, 12068, 454, 3333, 15735, 602, 519, 4672, 593, 519, 2234, 727, 3323, 547, 15835, 1310, 476, 1839, 7643, 267, 543, 1369, 2947, 7643, 540, 713, 519, 4672, 1793, 573, 1055, 538, 513, 2582, 454, 2467, 729, 513, 4250, 602, 950, 519, 632, 268, 6005, 4238, 30403, 267, 1216, 1131, 2951, 1394, 883, 519, 9055, 607, 519, 15895, 20342, 454, 323, 1170, 9407, 543, 1522, 2663, 19068, 269, 1677, 2061, 713, 267, 3636, 3819, 2011, 729, 27762, 883, 519, 1062, 585, 513, 1906, 3764, 1310, 632, 268, 6005, 4238, 454, 1729, 2327, 1100, 20342, 729, 2451, 538, 519, 9055, 267, 543, 972, 729, 849, 513, 27687, 5597, 6417, 3167, 8022, 3693, 1472, 454, 1492, 13020, 344, 540, 519, 2234, 727, 563, 10376, 5583, 1895, 5161, 540, 476, 276, 20512, 543, 519, 11018, 1895, 5161, 540, 476, 274, 20512, 282, 789, 1312, 723, 513, 454, 4343, 18725, 306, 8653, 563, 4322, 20512, 616, 942, 1110, 4327, 2687, 547, 519, 4542, 281, 570, 266, 332, 4433, 514, 530, 339, 264, 1141, 570, 568, 519, 1611, 942, 8884, 454, 24992, 20512, 267, 585, 513, 8095, 1676, 3432, 540, 476, 6110, 271, 678, 10975, 543, 476, 2190, 20512, 829, 11571, 4783, 713, 568, 3160, 547, 476, 27698, 18725, 306, 563, 332, 568, 519, 25244, 3178, 543, 568, 476, 274, 260, 540, 519, 1611, 942, 8884, 267, 26759, 476, 1240, 6440, 4037, 18725, 306, 563, 342, 339, 568, 519, 5086, 5828, 998, 676, 519, 8095, 1676, 27506, 1862, 663, 949, 581, 3254, 547, 3160, 476, 7761, 18725, 306, 563, 763, 9477, 13942, 568, 2147, 855, 513, 1106, 540, 4351, 13942, 25244, 568, 1572, 585, 547, 2061, 519, 10546, 454, 6748, 513, 26760, 13942, 1826, 4831, 1889, 5501, 1062, 269, 634, 3178, 540, 713, 568, 3908, 547, 1341, 25773, 476, 1321, 6440, 276, 18725, 306, 827, 454, 1492, 1611, 2990, 540, 519, 9477, 13942, 563, 306, 1545, 281, 5084, 300, 476, 13136, 270, 3422, 267, 1315, 31079, 267, 1315, 28307, 267, 1315, 276, 5392, 267, 1315, 4817, 278, 267, 1315, 31634, 267, 1315, 4572, 276, 267, 1315, 1960, 277, 267, 1315, 18684, 273, 267, 1315, 23056, 276, 267, 1315, 20720, 274, 1299, 20724, 8656, 476, 277, 270, 6942, 6246, 269, 634, 2817, 19964, 267, 918, 1168, 267, 29375, 280, 476, 275, 291, 308, 563, 1607, 2985, 10677, 22804, 23514, 9469, 5130, 476, 1001, 275, 282, 12093, 1510, 1991, 13170, 568, 19275, 563, 17273, 2063, 8242, 281, 476, 2537, 6113, 5130, 476, 1001, 280, 563, 27987, 547, 519, 1530, 553, 29888, 1292, 2985, 563, 27987, 547, 1250, 5851, 2985, 563, 4467, 906, 547, 281, 4757, 11333, 2593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9463, 500, 454, 2745, 3799, 13246, 11468, 18737, 273, 8079, 476, 1948, 1496, 1015, 267, 476, 279, 267, 476, 277, 267, 476, 275, 267, 476, 273, 2639, 2745, 3799, 13246, 314, 276, 15311, 268, 273, 8079, 476, 1948, 1496, 277, 267, 476, 275, 267, 476, 273, 2639, 2745, 3799, 13246, 11468, 276, 18737, 273, 8079, 476, 1948, 1496, 1015, 267, 476, 279, 6540, 258, 1820, 8443, 272, 267, 476, 273, 267, 476, 274, 316, 1341, 1412, 11415, 5073, 2745, 8443, 262, 320, 3299, 1412, 321, 11172, 2608, 476, 276, 264, 476, 1948, 18358, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 23300, 0, 5814, 4351, 454, 5814, 942, 692, 258, 4351, 476, 25263, 359, 421, 504, 493, 10951, 374, 8147, 15159, 23284, 22047, 23746, 30903, 482, 418, 369, 489, 7511, 419, 367, 375, 14756, 509, 30853, 20992, 417, 509, 374, 419, 350, 478, 692, 2745, 263, 12690, 20179, 28829, 476, 1948, 476, 13213, 498, 18713, 508, 476, 271, 10922, 562, 10922, 476, 272, 476, 7511, 421, 504, 493, 10951, 374, 14395, 508, 12255, 454, 2745, 263, 12690, 10947, 8681, 23605, 263, 276, 4297, 476, 1948, 476, 23284, 421, 499, 379, 10533, 368, 417, 508, 489, 25051, 351, 19764, 493, 13213, 498, 18713, 508, 333, 14748, 421, 504, 493, 10951, 374, 12916, 491, 454, 2745, 263, 12690, 26509, 6134, 263, 272, 267, 476, 273, 4297, 476, 1948, 476, 13213, 498, 18713, 508, 513, 10922, 562, 10922, 536, 476, 7511, 421, 504, 493, 10951, 374, 14395, 508, 12255, 454, 2745, 263, 12690, 20120, 9792, 263, 271, 267, 476, 1015, 267, 476, 273, 4297, 476, 1948, 476, 13213, 498, 18713, 508, 9792, 263, 11034, 267, 17380, 267, 21163, 18809, 7511, 421, 504, 493, 10951, 374, 12255, 454, 2745, 263, 12690, 26716, 4069, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 316, 4297, 476, 1948, 476, 10524, 492, 31365, 28578, 572, 336, 18809, 13213, 498, 18713, 508, 421, 504, 493, 418, 482, 493, 30317, 27381, 510, 454, 2993, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 12690, 11075, 28984, 263, 2993, 994, 2745, 263, 2993, 264, 476, 1948, 13127, 492, 509, 17295, 364, 418, 371, 371, 18263, 365, 31365, 28578, 454, 2745, 263, 12690, 4732, 2217, 263, 2993, 267, 476, 273, 4297, 476, 1948, 476, 10524, 492, 31365, 28578, 18809, 20881, 487, 418, 489, 358, 333, 14748, 421, 504, 493, 10951, 374, 4970, 498, 419, 489, 361, 419, 360, 489, 7511, 30317, 27381, 510, 692, 11845, 272, 815, 630, 1220, 279, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 910, 272, 994, 5503, 272, 815, 942, 6230, 330, 5503, 5560, 622, 272, 994, 11845, 273, 815, 630, 1220, 280, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 910, 272, 994, 5503, 273, 815, 942, 6230, 330, 5503, 5560, 622, 273, 994, 12690, 22710, 815, 4351, 26509, 6134, 263, 5503, 272, 267, 942, 273, 994, 2745, 263, 5503, 269, 553, 551, 830, 263, 5503, 7456, 665, 5306, 830, 263, 12690, 22710, 4297, 2020, 11133, 815, 3403, 2891, 1692, 1082, 18062, 286, 5602, 338, 1938, 815, 3403, 2891, 1692, 1082, 5011, 829, 5884, 286, 5602, 8999, 815, 476, 271, 454, 1721, 1775, 538, 2039, 17301, 16325, 15892, 825, 2040, 6834, 4351, 20120, 9792, 17301, 4433, 1938, 4297, 1341, 476, 272, 454, 2745, 2891, 763, 1267, 568, 2580, 2040, 994, 0, 2745, 3488, 21848, 281, 3299, 476, 5655, 994, 2745, 9230, 272, 267, 476, 273, 267, 476, 274, 4917, 2745, 263, 272, 267, 476, 273, 267, 476, 274, 2020, 4067, 815, 1412, 294, 636, 2421, 7055, 15680, 16615, 815, 1412, 16031, 7055, 26572, 7566, 815, 1412, 15916, 7055, 2745, 14116, 516, 7566, 267, 2892, 16615, 267, 2012, 994, 2745, 14116, 516, 7566, 1341, 22207, 3299, 2892, 16615, 267, 2012, 2020, 258, 5124, 273, 476, 30244, 26175, 491, 17958, 25622, 25263, 504, 21928, 12571, 490, 13601, 27310, 27447, 24731, 454, 2745, 3488, 15916, 10086, 13211, 2745, 3488, 13328, 5073, 0, 258, 290, 5317, 289, 520, 5124, 2259, 2042, 454, 258, 22069, 1903, 676, 10787, 573, 2098, 541, 4472, 12011, 5271, 31822, 572, 15590, 321, 1794, 264, 910, 8940, 269, 345, 30138, 573, 2593, 454, 258, 5903, 268, 272, 692, 258, 5903, 268, 272, 3436, 1101, 9078, 770, 277, 454, 3698, 1101, 9078, 770, 277, 25225, 2187, 825, 2132, 630, 333, 4548, 314, 271, 316, 2652, 476, 277, 264, 610, 630, 333, 4548, 314, 6352, 25225, 264, 910, 476, 272, 316, 2652, 476, 277, 994, 258, 528, 454, 3698, 1101, 9078, 770, 277, 25225, 2187, 825, 2132, 630, 333, 4548, 314, 271, 316, 2652, 476, 277, 610, 15358, 15631, 272, 316, 2652, 476, 277, 2020, 258, 8266, 268, 272, 3436, 1482, 6958, 1009, 9078, 770, 454, 3698, 1482, 6958, 1009, 9078, 770, 25225, 2187, 825, 2132, 16733, 6352, 25225, 264, 13843, 476, 272, 264, 543, 15358, 314, 271, 316, 2652, 15358, 15631, 272, 20285, 258, 8266, 268, 272, 3436, 1118, 318, 7032, 454, 3698, 1118, 318, 7032, 10031, 476, 14039, 815, 1496, 274, 267, 476, 272, 267, 476, 275, 2639, 476, 2132, 14039, 692, 258, 8266, 268, 272, 3436, 1455, 318, 754, 454, 3698, 1455, 318, 754, 5416, 267, 536, 2187, 825, 2132, 513, 314, 271, 316, 2652, 536, 314, 271, 316, 610, 513, 15631, 272, 316, 2652, 536, 15631, 272, 6540, 258, 8266, 268, 272, 3436, 2040, 274, 454, 258, 3240, 5172, 835, 2433, 264, 3097, 3698, 2040, 274, 25225, 2187, 476, 2132, 2040, 25225, 994, 258, 531, 1181, 894, 454, 3698, 2040, 274, 25225, 2187, 825, 2132, 15358, 314, 271, 316, 1341, 15358, 314, 272, 316, 1341, 15358, 314, 273, 2639, 258, 528, 713, 835, 267, 952, 649, 798, 711, 917, 602, 5044, 786, 723, 513, 7003, 724, 339, 540, 476, 274, 25656, 454, 3698, 2040, 274, 25225, 2187, 825, 562, 815, 7003, 25225, 994, 825, 2040, 815, 476, 271, 454, 825, 585, 561, 538, 2039, 263, 271, 267, 562, 2187, 1038, 2040, 6834, 15358, 314, 331, 2639, 825, 2132, 2040, 692, 258, 8266, 268, 272, 3436, 17967, 318, 3847, 274, 454, 3698, 17967, 318, 3847, 274, 25225, 2187, 825, 2132, 15358, 1341, 1496, 333, 4548, 21014, 263, 271, 264, 6540, 258, 8266, 268, 272, 3436, 9258, 274, 454, 3698, 9258, 274, 25225, 2187, 672, 15358, 18622, 2091, 4590, 672, 2132, 15358, 692, 258, 8266, 268, 272, 3436, 3193, 318, 754, 274, 454, 258, 606, 2653, 1259, 454, 3698, 3193, 318, 754, 274, 25225, 2187, 825, 3288, 815, 3193, 25225, 314, 271, 3910, 15358, 15631, 272, 7481, 825, 15358, 815, 1496, 5055, 267, 3288, 267, 3288, 2639, 825, 2132, 15358, 692, 258, 8266, 268, 272, 3436, 2040, 273, 454, 3698, 2040, 273, 25225, 2187, 476, 15358, 815, 15358, 11468, 273, 2639, 476, 2132, 2040, 25225, 994, 258, 531, 1181, 894, 454, 3698, 2040, 273, 25225, 2187, 825, 952, 7003, 25225, 264, 13843, 476, 273, 912, 1038, 2132, 15358, 314, 271, 316, 1341, 15358, 314, 272, 2639, 825, 8640, 7003, 25225, 264, 2652, 476, 272, 912, 1038, 2132, 15358, 314, 271, 2639, 825, 3116, 912, 1038, 2132, 476, 271, 692, 258, 8266, 268, 272, 3436, 1647, 318, 3118, 454, 3698, 1647, 318, 3118, 5416, 267, 536, 2187, 825, 2132, 1496, 320, 314, 272, 3910, 536, 314, 272, 316, 6540, 258, 8266, 268, 272, 3436, 1118, 318, 1742, 454, 3698, 1118, 318, 1742, 25225, 2187, 825, 2132, 1496, 333, 4548, 314, 271, 3910, 15358, 15631, 272, 316, 6540, 258, 8266, 268, 272, 3436, 814, 2537, 454, 3698, 814, 2537, 25225, 2187, 476, 2132, 476, 273, 538, 15358, 610, 476, 274, 538, 15358, 454, 258, 531, 1181, 894, 454, 3698, 814, 2537, 25225, 2187, 825, 2132, 15358, 29644, 263, 273, 264, 3436, 476, 271, 610, 15358, 29644, 263, 274, 264, 3436, 476, 271, 454, 0, 258, 2843, 507, 3522, 10528, 25986, 28476, 29824, 22147, 13077, 9261, 9261, 7846, 267, 17095, 3378, 26580, 13077, 9326, 28314, 12811, 21268, 4138, 31589, 20046, 11714, 27188, 18547, 13194, 31606, 21162, 17153, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 6459, 27671, 28314, 13077, 17221, 20500, 3522, 17153, 912, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 3248, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 11714, 3264, 27569, 3264, 13150, 8563, 12811, 21170, 3264, 24893, 25986, 6459, 3378, 3248, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21162, 13953, 11012, 4138, 9261, 8563, 17201, 780, 5814, 5569, 454, 5228, 4351, 1104, 28219, 842, 267, 7833, 7531, 1598, 339, 815, 703, 9272, 3488, 10938, 519, 1376, 1297, 29125, 754, 815, 703, 9272, 3488, 10938, 519, 10678, 1297, 29125, 8243, 341, 815, 1592, 30415, 269, 30913, 328, 318, 24393, 9239, 2745, 6600, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 281, 2715, 8681, 842, 19304, 339, 267, 1439, 264, 4153, 333, 7055, 8587, 535, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 11714, 3264, 27569, 3264, 13150, 8563, 12811, 21170, 3264, 24893, 25986, 6459, 3378, 281, 2715, 684, 6134, 19304, 339, 267, 1439, 2567, 269, 273, 325, 4153, 333, 7055, 8587, 535, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21162, 13953, 11012, 4138, 9261, 8563, 17201, 281, 2715, 8243, 341, 314, 8681, 842, 19304, 339, 267, 1439, 13580, 348, 10807 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8017, 538, 5565, 25159, 910, 11644, 5590, 281, 476, 280, 692, 2971, 8382, 692, 8269, 518, 547, 519, 3239, 2630, 585, 519, 3113, 780, 2971, 4518, 5153, 676, 5153, 692, 2414, 3113, 519, 2016, 8635, 267, 1685, 519, 1739, 3268, 281, 630, 272, 264, 8641, 519, 10465, 1899, 1269, 273, 343, 3917, 15871, 275, 259, 1210, 546, 14414, 1899, 2094, 621, 3322, 4399, 25885, 10608, 630, 516, 2536, 547, 519, 3239, 2630, 585, 519, 3113, 264, 630, 273, 264, 2422, 519, 1449, 1448, 18159, 271, 267, 476, 271, 30879, 15240, 3482, 519, 1535, 543, 586, 2418, 540, 713, 1448, 883, 519, 2016, 8635, 547, 3489, 281, 1269, 273, 343, 3917, 1422, 25885, 910, 275, 8607, 273, 263, 271, 264, 910, 476, 271, 1422, 25885, 910, 275, 8607, 271, 1422, 25885, 910, 275, 259, 634, 3948, 568, 3020, 269, 630, 274, 264, 634, 4611, 3948, 538, 1900, 630, 273, 264, 568, 3020, 269, 901, 1797, 602, 519, 3070, 1305, 568, 519, 3148, 602, 3568, 519, 1449, 1448, 18159, 271, 267, 476, 271, 30879, 1677, 2347, 519, 3113, 267, 12094, 519, 3148, 602, 3568, 18159, 271, 267, 476, 271, 30879, 630, 516, 2536, 547, 519, 7923, 3239, 538, 519, 2626, 851, 1657, 585, 519, 3113, 2020, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 258, 1496, 30125, 316, 13804, 3363, 540, 519, 3328, 6991, 6152, 630, 2254, 519, 3328, 3432, 2020, 9771, 6991, 24610, 1740, 7146, 7721, 2075, 2478, 7219, 14670, 923, 692, 14188, 596, 6619, 540, 942, 585, 2921, 547, 1413, 693, 713, 269, 1280, 713, 1739, 1966, 649, 941, 2016, 606, 2626, 2705, 594, 993, 3592, 2318, 519, 2016, 2626, 568, 4636, 269, 898, 3085, 1405, 1256, 1118, 2631, 269, 1924, 1934, 568, 519, 2243, 1384, 763, 30908, 29364, 1688, 540, 513, 9219, 568, 476, 274, 269, 275, 4699, 1279, 269, 1548, 616, 519, 3172, 6421, 540, 1384, 320, 264, 519, 9588, 540, 519, 3328, 6991, 6152, 1496, 2254, 519, 3328, 3432, 256, 316, 540, 519, 1688, 9133, 936, 513, 476, 1321, 2034, 8884, 2496, 20058, 3884, 1405, 519, 9588, 540, 3328, 6991, 815, 519, 3328, 3432, 286, 594, 1810, 1405, 1294, 875, 1346, 1223, 581, 1114, 855, 519, 2243, 4667, 547, 5815, 713, 692, 763, 2626, 2016, 568, 3230, 269, 18357, 4699, 4882, 21974, 901, 4667, 3810, 1561, 321, 762, 2016, 602, 519, 18592, 568, 3230, 2641, 269, 3607, 4699, 2330, 865, 538, 3230, 1321, 338, 2330, 519, 2034, 1688, 9133, 1131, 723, 1152, 21986, 539, 3230, 274, 269, 9834, 4699, 2330, 1472, 519, 18592, 538, 476, 1321, 7643, 6236, 513, 2034, 1688, 29349, 513, 2347, 4838, 1169, 8792, 594, 1810, 1405, 1294, 875, 713, 1223, 581, 1318, 780, 21156, 594, 1131, 2161, 519, 9588, 540, 519, 6991, 6152, 815, 6695, 2765, 18950, 273, 19570, 678, 20972, 339, 15732, 8489, 678, 568, 8953, 543, 512, 568, 942, 547, 2347, 4838, 865, 1384, 2330, 341, 815, 1422, 2765, 346, 273, 19570, 476, 274, 269, 275, 2410, 272, 348, 815, 476, 2641, 269, 3607, 4699, 4882, 9681, 7617, 4667, 513, 2603, 811, 10853, 692, 8512, 536, 264, 2417, 1476, 4926, 803, 607, 789, 1533, 1384, 1492, 3328, 10231, 540, 519, 1688, 9133, 936, 513, 476, 1321, 2034, 8884, 2496, 663, 789, 2285, 606, 2626, 540, 3230, 271, 269, 271, 4097, 280, 4699, 4882, 317, 273, 9681, 2005, 568, 1250, 1174, 602, 3230, 320, 815, 1422, 2765, 28452, 317, 273, 2410, 337, 6525, 865, 1256, 1210, 741, 1378, 1871, 585, 6991, 692, 2330, 320, 815, 1422, 2765, 346, 271, 269, 18357, 317, 273, 2410, 274, 269, 275, 348, 815, 476, 271, 269, 271, 3953, 277, 2330, 799, 568, 513, 1114, 2626, 780, 8649, 594, 7508, 1945, 2496, 12552, 256, 0, 290, 2969, 7726, 7813, 910, 5384, 1299, 4518, 692, 1892, 1627, 274, 264, 476, 273, 2367, 543, 476, 274, 8695, 666, 798, 513, 4062, 540, 960, 538, 476, 1015, 2395, 1247, 476, 274, 2367, 543, 476, 273, 8695, 666, 798, 519, 1482, 960, 538, 476, 279, 2395, 269, 769, 875, 1082, 2395, 666, 476, 273, 2367, 543, 476, 272, 7911, 798, 519, 960, 26042, 1892, 1627, 275, 264, 589, 543, 645, 666, 798, 513, 4062, 540, 960, 538, 476, 7761, 2395, 282, 645, 543, 595, 666, 798, 621, 538, 476, 6344, 2395, 282, 589, 543, 595, 666, 798, 621, 538, 476, 3445, 2395, 269, 769, 1018, 942, 666, 589, 4805, 798, 621, 26042, 1892, 1627, 276, 264, 2473, 3217, 476, 275, 2395, 547, 2347, 835, 21017, 540, 513, 2816, 267, 962, 3217, 476, 274, 2395, 547, 2347, 835, 29350, 628, 540, 519, 1482, 960, 543, 2098, 3217, 476, 276, 2395, 547, 2347, 3368, 519, 2816, 269, 1403, 782, 540, 873, 960, 1927, 585, 476, 274, 2395, 543, 2473, 543, 2098, 16718, 267, 875, 1279, 786, 621, 1491, 585, 962, 547, 2347, 519, 6967, 960, 2944, 2496, 1892, 1627, 277, 264, 5565, 2367, 589, 543, 645, 267, 3323, 513, 2816, 538, 799, 589, 729, 4278, 823, 607, 1434, 607, 645, 543, 4061, 3576, 476, 2568, 2395, 1447, 1287, 645, 547, 9096, 519, 2816, 269, 1215, 1082, 2395, 786, 789, 1491, 547, 9096, 519, 2816, 267, 952, 789, 1376, 2324, 1927, 26042, 1892, 1627, 278, 264, 634, 960, 2944, 676, 513, 812, 267, 513, 2021, 543, 513, 1126, 616, 538, 519, 5223, 476, 274, 2433, 476, 273, 2433, 476, 272, 269, 1403, 3232, 13848, 540, 476, 736, 2367, 267, 476, 1789, 2021, 543, 476, 3607, 1453, 2179, 547, 12652, 476, 4281, 269, 1548, 786, 581, 519, 13848, 540, 476, 1428, 2367, 267, 476, 2641, 2021, 543, 476, 1789, 1453, 585, 476, 1240, 4374, 26042, 1892, 1627, 279, 264, 8422, 2367, 7118, 607, 1454, 607, 476, 275, 2021, 267, 476, 275, 2021, 7118, 607, 1454, 607, 476, 277, 8695, 267, 543, 476, 279, 8695, 7118, 607, 1454, 607, 476, 1015, 6690, 269, 1403, 513, 8004, 7118, 12652, 269, 476, 2004, 513, 1554, 267, 1287, 519, 15980, 540, 513, 812, 1131, 581, 692, 1892, 1627, 280, 264, 476, 736, 2367, 666, 798, 513, 2816, 538, 476, 736, 2395, 269, 2991, 1142, 1554, 267, 513, 2021, 568, 8719, 676, 513, 812, 543, 513, 812, 568, 7466, 607, 3608, 607, 513, 2021, 269, 2201, 799, 1554, 1281, 519, 2816, 1205, 6192, 26042, 1892, 1627, 1015, 264, 589, 666, 798, 513, 2816, 538, 476, 1015, 2395, 269, 9603, 547, 16609, 2078, 609, 645, 267, 1010, 4398, 6971, 547, 476, 2568, 260, 543, 1312, 666, 9096, 519, 1482, 2816, 538, 476, 1015, 2395, 269, 769, 875, 1082, 2395, 666, 645, 4805, 798, 519, 2816, 15017, 314, 11693, 602, 645, 779, 4398, 3788, 519, 1482, 1247, 2324, 4805, 6540, 1892, 1627, 1556, 264, 589, 666, 798, 513, 4062, 540, 960, 538, 476, 1691, 2395, 799, 645, 666, 798, 538, 476, 2641, 2395, 269, 1358, 2253, 1927, 855, 476, 274, 2395, 1354, 519, 12032, 540, 519, 960, 267, 589, 3762, 1055, 269, 634, 2698, 1297, 540, 2395, 547, 2347, 519, 960, 568, 692, 1892, 1627, 1321, 264, 476, 1321, 1453, 1491, 476, 1626, 2395, 547, 2347, 513, 960, 799, 666, 581, 6192, 676, 476, 279, 4079, 538, 476, 1321, 2395, 269, 476, 1626, 4079, 3323, 2324, 543, 1310, 476, 274, 2395, 476, 1015, 4079, 2451, 543, 476, 275, 1453, 8678, 873, 269, 1215, 1082, 2395, 786, 621, 1491, 873, 547, 2347, 519, 6967, 960, 26042, 1892, 1627, 1724, 264, 589, 1216, 7382, 814, 1614, 512, 2355, 589, 267, 645, 543, 595, 269, 589, 25361, 476, 275, 11369, 1115, 538, 476, 2190, 1295, 267, 645, 25361, 476, 279, 11369, 1115, 538, 476, 272, 554, 543, 595, 25361, 476, 273, 11369, 1115, 538, 476, 736, 1295, 269, 1403, 782, 519, 512, 2355, 616, 8118, 1927, 267, 513, 2407, 7382, 568, 7962, 1221, 538, 476, 273, 554, 269, 1403, 513, 19943, 3568, 476, 276, 299, 1216, 269, 1548, 568, 519, 4390, 540, 519, 7382, 26042, 1892, 1627, 1691, 264, 589, 7148, 666, 6445, 513, 7382, 538, 476, 1839, 1295, 543, 1776, 666, 8900, 621, 538, 476, 2004, 1295, 269, 4855, 2436, 519, 7382, 786, 581, 4904, 909, 610, 7962, 1221, 543, 538, 875, 1082, 3764, 26042, 1892, 1627, 1428, 264, 589, 10612, 666, 6445, 513, 7382, 538, 476, 277, 554, 269, 9603, 547, 13451, 538, 519, 5377, 621, 568, 4904, 538, 476, 279, 554, 269, 1403, 519, 7382, 568, 2407, 267, 875, 1454, 942, 786, 519, 13451, 1491, 547, 8900, 621, 26042, 1892, 1627, 1626, 264, 5565, 12992, 589, 543, 645, 666, 6445, 513, 28250, 1181, 538, 476, 2190, 1295, 543, 476, 1789, 1295, 6606, 269, 1703, 568, 849, 606, 17752, 595, 269, 1403, 782, 519, 1614, 12992, 616, 8118, 1927, 267, 519, 7382, 568, 2407, 538, 476, 736, 1295, 269, 1215, 1454, 942, 786, 581, 3144, 676, 595, 547, 8900, 519, 2407, 7382, 26042, 1892, 1627, 1704, 264, 589, 28250, 1181, 666, 581, 4904, 676, 1079, 12992, 538, 476, 1789, 543, 476, 2412, 1295, 6606, 269, 5637, 519, 12992, 941, 8118, 693, 2899, 267, 950, 519, 1101, 10612, 1590, 581, 5828, 540, 865, 602, 949, 581, 1175, 4904, 538, 476, 1240, 1295, 780, 1892, 1627, 1240, 264, 2290, 11423, 10612, 2048, 288, 685, 568, 476, 277, 2053, 5488, 982, 2034, 11423, 10612, 645, 269, 1403, 645, 666, 6445, 513, 28250, 1181, 538, 476, 2764, 1295, 267, 1287, 1265, 519, 942, 950, 519, 28250, 1181, 786, 581, 2407, 952, 1312, 519, 12992, 616, 8118, 1927, 692, 1892, 1627, 866, 264, 5565, 12992, 666, 6445, 513, 28250, 1181, 538, 476, 1789, 543, 476, 1428, 554, 6606, 269, 634, 12992, 616, 8118, 8195, 543, 621, 568, 1336, 602, 1813, 547, 24694, 538, 519, 5377, 267, 476, 276, 554, 3063, 616, 3144, 585, 519, 28250, 1181, 547, 581, 4904, 909, 269, 1403, 519, 28250, 1181, 568, 2407, 267, 538, 1018, 942, 1131, 519, 13451, 8900, 621, 26042, 1892, 1627, 736, 264, 5565, 12992, 589, 543, 645, 666, 6445, 513, 28250, 1181, 538, 476, 1321, 1295, 543, 476, 1626, 1295, 6606, 269, 5637, 519, 12992, 616, 8118, 1927, 585, 513, 1978, 942, 855, 1813, 547, 930, 25518, 519, 2095, 540, 1216, 729, 11658, 547, 476, 278, 270, 279, 540, 2407, 2095, 538, 10612, 589, 543, 476, 276, 270, 277, 540, 2407, 538, 10612, 645, 269, 901, 25518, 568, 6569, 1310, 930, 942, 543, 519, 7382, 568, 1631, 4904, 538, 476, 274, 1295, 689, 602, 4090, 269, 1215, 1279, 729, 621, 1354, 519, 2407, 2095, 3459, 26042, 1892, 1627, 2641, 264, 1488, 341, 785, 543, 4210, 541, 2522, 328, 616, 2319, 29982, 543, 789, 666, 798, 513, 1788, 538, 1978, 1297, 540, 2395, 28560, 1488, 341, 785, 568, 593, 9702, 585, 1535, 2395, 267, 6533, 789, 1491, 586, 811, 2395, 547, 2347, 519, 960, 1247, 952, 4210, 541, 2522, 328, 568, 593, 9702, 585, 1535, 2395, 267, 6533, 789, 1491, 1990, 811, 2395, 547, 2347, 519, 1482, 1788, 269, 3973, 454, 5416, 264, 586, 267, 1535, 270, 273, 267, 345, 616, 538, 6673, 454, 6357, 264, 586, 267, 1535, 270, 273, 267, 345, 616, 538, 13382, 454, 6262, 264, 476, 272, 24474, 284, 272, 30819, 266, 272, 270, 345, 454, 5560, 264, 2052, 2254, 581, 5462, 454, 16216, 264, 7183, 540, 519, 2062, 4707, 692, 1892, 1627, 2420, 264, 6129, 527, 267, 6635, 684, 543, 623, 24170, 941, 538, 519, 1482, 1788, 585, 476, 1789, 2395, 269, 769, 519, 1576, 540, 960, 782, 540, 873, 7283, 15534, 585, 1906, 2395, 10422, 24170, 7283, 476, 1015, 2395, 811, 15534, 982, 1488, 684, 7283, 543, 6129, 527, 1705, 835, 21017, 540, 519, 2698, 960, 32289, 1082, 811, 2395, 1705, 623, 24170, 7283, 15534, 982, 6129, 527, 888, 5416, 264, 476, 275, 454, 6357, 264, 476, 276, 454, 6262, 264, 476, 277, 454, 5560, 264, 2052, 2254, 581, 5462, 454, 16216, 264, 7183, 540, 519, 2062, 4707, 692, 6078, 692, 2568, 692, 6812, 692, 7871, 692, 4097, 692, 6858, 692, 3953, 692, 5038, 0, 2162, 476, 280, 13434, 2720, 542, 543, 7261, 3380, 281, 30332, 543, 4578, 692, 13434, 2720, 542, 568, 519, 957, 540, 1582, 3146, 12401, 269, 1879, 649, 3717, 540, 16571, 542, 538, 5752, 4654, 267, 649, 949, 723, 835, 540, 630, 520, 2547, 264, 1079, 10096, 538, 2247, 281, 16571, 542, 538, 1239, 267, 543, 16571, 542, 538, 1852, 630, 328, 4318, 1421, 540, 1982, 2623, 20196, 568, 547, 2161 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2691, 7713, 519, 2489, 2495, 2687, 547, 519, 521, 583, 6652, 543, 519, 1455, 10752, 267, 834, 342, 529, 3256, 257, 1797, 1702, 630, 335, 571, 329, 3534, 264, 799, 568, 2215, 867, 6053, 1863, 689, 1219, 850, 618, 267, 519, 2596, 1533, 540, 7962, 1465, 269, 634, 2262, 834, 612, 775, 257, 610, 554, 5090, 11535, 1797, 834, 2169, 847, 257, 610, 834, 338, 1575, 3153, 2437, 543, 568, 4061, 8296, 267, 519, 18678, 2619, 799, 568, 16525, 1043, 585, 6104, 5109, 14609, 327, 1695, 797, 269, 634, 12866, 25569, 23897, 663, 23075, 3081, 912, 5804, 519, 6999, 268, 995, 325, 3739, 3529, 540, 7962, 1465, 454, 7343, 792, 519, 5613, 540, 1875, 935, 24632, 8296, 563, 1607, 568, 519, 3597, 540, 782, 519, 32570, 539, 3283, 563, 5804, 713, 789, 10836, 267, 972, 568, 1100, 8969, 563, 1862, 320, 3948, 540, 7778, 676, 670, 13034, 269, 667, 559, 2998, 918, 1506, 550, 572, 681, 514, 335, 28970, 912, 257, 5804, 7962, 1465, 1439, 15735, 609, 519, 18678, 540, 782, 3344, 267, 6719, 538, 519, 1106, 540, 519, 6999, 268, 995, 325, 3739, 3529, 799, 13315, 782, 26441, 267, 2408, 519, 5613, 540, 519, 1079, 19507, 10304, 630, 1492, 10304, 540, 1582, 543, 1866, 1070, 519, 1875, 935, 24632, 8296, 267, 799, 568, 711, 513, 562, 8811, 559, 2065, 20704, 269, 901, 568, 519, 3597, 799, 568, 519, 2707, 540, 519, 737, 28569, 543, 5923, 20819, 540, 782, 519, 9985, 32570, 539, 3283, 269, 3245, 713, 9322, 540, 1797, 543, 1702, 267, 7962, 1465, 543, 8296, 267, 891, 10836, 267, 972, 568, 1100, 8969, 1701, 808, 10498, 312, 5723, 454, 263, 5228, 519, 1433, 8752, 540, 27067, 267, 2019, 269, 476, 272, 267, 30127, 269, 476, 2764, 267, 1696, 620, 1040, 1496, 23802, 2639, 11997, 1644, 547, 1018, 781, 2016, 1657, 689, 519, 2489, 2495, 2687, 547, 519, 521, 583, 6652, 543, 519, 1455, 10752, 1862, 310, 529, 3256, 3647, 775, 1797, 519, 834, 338, 1575, 3153, 2619, 540, 7962, 1465, 1439, 15735, 609, 513, 4295, 540, 8296, 1701, 0, 21938, 476, 1704, 267, 476, 1708, 273, 910, 476, 280, 1295, 1224, 454, 20376, 584, 527, 1436, 568, 519, 1184, 676, 799, 2883, 7405, 616, 18705, 585, 2192, 18612, 7221, 799, 666, 581, 4421, 593, 6281, 6990, 543, 5732, 6556, 1719, 585, 5411, 269, 18200, 16372, 1532, 17977, 19736, 630, 300, 7034, 1070, 585, 1383, 267, 616, 4122, 21775, 19736, 267, 543, 616, 20483, 676, 1804, 543, 1419, 2192, 18612, 1753, 12029, 269, 2986, 1576, 267, 519, 19736, 616, 3358, 585, 1585, 1981, 7109, 1734, 1759, 593, 519, 5491, 10290, 1465, 540, 519, 10210, 619, 543, 519, 942, 20030, 540, 9520, 563, 5475, 519, 561, 2658, 24865, 519, 6180, 326, 1137, 267, 519, 12029, 616, 15985, 1194, 883, 20115, 799, 616, 4371, 607, 32097, 585, 519, 12029, 269, 1452, 20251, 4967, 616, 9247, 14767, 540, 10865, 20251, 11033, 689, 519, 10210, 619, 269, 1677, 3262, 519, 11218, 344, 4220, 2404, 609, 6180, 326, 1137, 267, 899, 10210, 518, 9949, 338, 267, 10211, 896, 32392, 6133, 631, 7034, 2472, 547, 9520, 2443, 945, 1287, 2445, 851, 540, 519, 10210, 518, 779, 20251, 11033, 952, 519, 12029, 616, 1065, 4660, 267, 543, 2671, 538, 519, 9271, 952, 519, 10210, 518, 9949, 338, 563, 307, 7505, 1436, 267, 538, 5680, 274, 267, 4016, 547, 9247, 519, 1482, 1184, 267, 4849, 519, 19736, 616, 20511, 539, 593, 3625, 577, 1622, 607, 32454, 543, 6592, 593, 3059, 3366, 7970, 607, 2357, 16666, 21888, 7221, 269, 32454, 267, 1287, 267, 1223, 24903, 581, 811, 5277, 982, 2757, 19736, 1510, 8051, 585, 519, 1699, 2344, 1698, 540, 19116, 607, 513, 2898, 269, 2334, 568, 267, 32454, 666, 581, 21775, 476, 2190, 270, 278, 11451, 267, 543, 666, 581, 17956, 607, 1799, 17014, 7221, 609, 9893, 2029, 269, 5015, 267, 18351, 1242, 7221, 666, 723, 29005, 5100, 11731, 1369, 873, 267, 971, 607, 27993, 2628, 8083, 538, 519, 2013, 540, 513, 2757, 3354, 563, 2704, 2819, 267, 17542, 540, 9489, 538, 19736, 543, 21113, 723, 2907, 1044, 18351, 1242, 267, 609, 519, 2344, 1698, 585, 18351, 1242, 535, 9332, 19728, 630, 560, 762, 23915, 264, 2907, 538, 519, 9937, 540, 17542, 269, 16828, 267, 1022, 10697, 1223, 581, 18351, 1242, 543, 21775, 593, 21888, 986, 2812, 2899, 1978, 6639, 267, 3656, 267, 543, 1514, 29676, 616, 1558, 563, 8170, 1576, 267, 972, 616, 23665, 547, 581, 7753, 899, 9431, 5587, 5874, 267, 5680, 274, 10073, 267, 9893, 25382, 267, 543, 2152, 540, 954, 6016, 1464, 607, 1134, 269, 769, 1840, 267, 621, 3884, 1406, 2312, 875, 519, 4567, 28943, 5238, 786, 2746, 547, 15139, 1436, 3646, 950, 519, 3105, 1062, 814, 2847, 9407, 1472, 21438, 267, 14931, 10827, 2456, 269, 901, 6663, 547, 17412, 875, 5680, 274, 18351, 1436, 786, 7519, 2757, 19736, 6990, 676, 16107, 1614, 5680, 274, 4066, 281, 9893, 267, 32454, 267, 543, 522, 571, 3380, 563, 288, 8037, 1383, 540, 513, 18351, 1242, 2168, 10697, 568, 1306, 5155, 3213, 514, 267, 513, 3059, 3354, 8204, 27847, 9562, 540, 853, 269, 3204, 529, 1306, 5155, 1763, 677, 538, 12548, 269, 1635, 18351, 1944, 519, 1306, 5155, 11555, 3951, 267, 9520, 685, 3046, 585, 7127, 568, 22485, 2094, 15597, 7396, 11555, 3951, 338, 616, 811, 14427, 547, 1305, 909, 543, 3976, 2154, 3677, 5934, 9541, 689, 9520, 269, 1306, 971, 267, 789, 4043, 547, 581, 4371, 3476, 267, 543, 2611, 5266, 2192, 18612, 3379, 609, 519, 18351, 1242, 1306, 5155, 3213, 1231, 563, 307, 7505, 1242, 1483, 10040, 593, 513, 9893, 6971, 11889, 11508, 3823, 9467, 543, 20964, 519, 10697, 593, 513, 476, 2190, 270, 278, 19458, 540, 2518, 18046, 269, 4475, 267, 9467, 519, 10697, 666, 581, 2944, 5488, 543, 609, 4389, 12375, 563, 7712, 21797, 616, 16883, 543, 666, 581, 11751, 543, 4421, 513, 8536, 2053, 513, 1554, 267, 9520, 666, 6718, 513, 1507, 2179, 540, 519, 18351, 1242, 10697, 267, 3850, 585, 3838, 9562, 540, 7221, 799, 949, 723, 5892, 2838, 513, 16854, 2179, 540, 3854, 5092, 269, 2334, 3854, 1131, 849, 723, 1044, 3810, 2192, 18612, 267, 6466, 519, 18351, 1242, 1106, 568, 3810, 5277, 563, 4407, 713, 1223, 1860, 1483, 10040, 6990, 538, 2474, 540, 2110, 3856, 3902, 25359, 267, 27847, 9562, 540, 18351, 1242, 1483, 10040, 1131, 3715, 811, 12581, 3255, 585, 7820, 5481, 547, 1491, 741, 1101, 1900, 883, 26539, 1483, 10040, 1510, 1373, 11720, 539, 856, 676, 5458, 1524, 11033, 563, 2304, 1383, 540, 18351, 1242, 17195, 1483, 10040, 568, 1306, 5155, 3213, 514, 267, 799, 17188, 27993, 547, 18351, 25963, 267, 3246, 873, 609, 513, 6871, 540, 519, 12809, 4747, 12236, 689, 519, 2168, 1483, 10040, 269, 1403, 811, 21797, 899, 1306, 5155, 3213, 514, 1831, 28125, 267, 621, 786, 1377, 519, 4730, 2361, 585, 10685, 9520, 543, 2333, 2804, 3255, 585, 6634, 540, 1004, 1472, 519, 1158, 4867, 1510, 519, 1797, 547, 1378, 1483, 10040, 563, 4322, 4130, 9520, 786, 1631, 723, 1569, 547, 12809, 4747, 3255, 1510, 6849, 31837, 25236, 762, 9465, 538, 1818, 741, 3355, 9541, 269, 6270, 12417, 11338, 3262, 11218, 344, 4220, 267, 799, 7512, 2635, 5092, 8456, 543, 14305, 2994, 563, 13010, 267, 3860, 1568, 899, 2575, 267, 11247, 267, 4670, 267, 610, 3381, 3756, 666, 849, 581, 18351, 1242, 607, 32454, 269, 901, 949, 2408, 24735, 267, 855, 2870, 513, 1875, 1922, 2426, 1043, 267, 2189, 4528, 540, 1945, 543, 8497, 922, 22464, 543, 1799, 583, 1464, 538, 519, 3059, 1158, 3842, 9893, 3366, 7970, 568, 14262, 269, 3689, 540, 782, 267, 713, 11151, 25718, 543, 4687, 540, 1239, 21168, 267, 799, 9247, 2848, 1023, 689, 519, 3312, 17082, 676, 9319, 1121, 684, 3130, 585, 519, 17082, 2047, 610, 998, 28370, 14565, 563, 301, 10499, 338, 666, 849, 581, 2883, 1242, 281, 3312, 15888, 666, 581, 6976, 711, 1152, 585, 519, 3312, 9042, 540, 519, 10697, 267, 855, 849, 10424, 2906, 585, 6281, 6455, 538, 519, 2104, 267, 2495, 15888, 786, 581, 2111, 547, 811, 3927, 1395, 564, 1125, 741, 5876, 2228, 269, 5695, 940, 32454, 883, 1719, 24481, 2883, 7405, 786, 4061, 3715, 7347, 267, 3972, 1652, 267, 543, 8465, 2883, 12417, 1063, 1543, 15888, 267, 6800, 267, 543, 9520, 7567, 563, 302, 571, 3380, 616, 1898, 547, 30321, 543, 19472, 5007, 1239, 585, 18351, 1242, 7221, 269, 1358, 957, 607, 2792, 9055, 1063, 3625, 577, 1622, 543, 1055, 7302, 664, 1239, 2959, 269, 4595, 18351, 1242, 7221, 786, 1419, 2154, 1702, 540, 1483, 8996, 2175, 267, 899, 1306, 5155, 1763, 677, 779, 5003, 3599, 3928, 267, 1287, 522, 571, 3380, 786, 1404, 513, 2565, 1909, 538, 9477, 519, 9562, 540, 18351, 1242, 7221, 543, 519, 2783, 540, 741, 2168, 13413, 563, 1103, 1840, 267, 1022, 3860, 2093, 799, 666, 581, 6829, 607, 3059, 1543, 666, 581, 6719, 607, 606, 23088, 269, 23560, 865, 2488, 606, 1799, 17014, 267, 12001, 4626, 652, 2086, 543, 10677, 3409, 2390, 519, 18351, 593, 513, 1857, 9893, 269, 2859, 11932, 267, 18351, 1242, 7221, 949, 1266, 2658, 1007, 1395, 564, 1436, 7207, 585, 5159, 543, 1702, 4600, 7567, 998, 11251, 5100, 11731, 563, 5719, 25218, 1242, 522, 571, 3380, 666, 1683, 5150, 2773, 12642, 543, 1543, 1569, 8060, 865, 519, 3312, 17082, 949, 3635, 16285, 936, 741, 1543, 543, 1569, 547, 621, 269, 744, 571, 3380, 3976, 948, 3312, 1543, 15888, 12260, 24353, 1871, 540, 741, 7607, 1210, 8810, 8907, 3631, 971, 607, 1942, 829, 12705, 630, 290, 6573, 1070, 1942, 829, 4945, 630, 9573, 290, 1070, 1942, 829, 1291, 6383, 267, 942, 593, 3135, 267, 31941, 687, 267, 543, 811, 563, 1607, 2306, 522, 571, 3380, 1271, 547, 519, 1697, 10342, 540, 18351, 1242, 7221, 269, 1403, 606, 522, 20432, 779, 9136, 723, 1044, 19847, 267, 519, 3059, 10697, 1522, 1821, 5573, 689, 5544, 5777, 610, 3111, 547, 18113, 15814, 27993, 547, 18351, 6868, 269, 18833, 713, 267, 649, 666, 9959, 602, 522, 571, 3380, 616, 1761, 2582, 2798, 540, 5821, 952, 789, 616, 711, 5265, 17956, 543, 18228, 269, 10318, 514, 2065, 5100, 11731, 616, 26464, 543, 713, 3340, 29814, 1239, 267, 607, 4195, 689, 519, 31316, 564, 607, 2009, 563, 302, 571, 3380, 849, 948, 18351, 1242, 7221, 899, 32454, 1831, 811, 11327, 998, 2883, 1436, 269, 769, 1249, 267, 519, 5354, 540, 2168, 1158, 7221, 949, 5555, 581, 11720, 539, 609, 519, 948, 540, 522, 571, 3380, 269, 1635, 7311, 2773, 13652, 9535, 14573, 543, 14499, 1239, 547, 18351, 1242, 7221, 998, 522, 571, 3380, 543, 5196, 3625, 577, 1622, 267, 10002, 8793, 7221, 666, 581, 5828, 883, 8907, 19356, 908, 3059, 3959, 563, 2690, 1383, 267, 6422, 32454, 666, 581, 20511, 539, 676, 15888, 543, 4421, 609, 1799, 17014, 9562, 6592, 593, 513, 9893, 543, 1266, 2658, 22864, 799, 666, 11457, 610, 9178, 936, 942, 269, 11038, 1944, 32454, 786, 849, 1450, 15888, 547, 10210, 1996, 519, 2104, 8907, 1761, 540, 741, 13144, 267, 607, 1134, 607, 519, 2702, 547, 1395, 564, 1125, 998, 10419, 783, 10424, 2906, 3631, 269, 19452, 267, 11655, 540, 15888, 666, 1489, 873, 811, 2047, 1510, 13779, 689, 10766, 26283, 563, 5575, 267, 9893, 2029, 568, 1869, 538, 922, 2038, 2395, 267, 2495, 621, 568, 1869, 10169, 29144, 267, 543, 814, 2943, 547, 3094, 519, 6015, 540, 2757, 8639, 269, 2334, 568, 267, 2038, 21888, 3792, 1562, 616, 3222, 540, 9893, 779, 1761, 547, 7520, 1480, 9316, 543, 2883, 10014, 563, 4913, 267, 972, 616, 1869, 1082, 945, 4250, 6880, 6285, 543, 824, 3186, 8494, 1944, 610, 6397, 21463, 267, 2495, 972, 786, 581, 4187, 547, 10073, 693, 1101, 269, 4495, 1239, 3354, 543, 7834, 2152, 723, 1044, 4401, 539, 856, 543, 10073, 814, 7444, 1212, 696, 20733, 267, 713, 4161, 3587, 5051, 1447, 31837, 25236, 762, 563, 15987, 3625, 577, 1622, 616, 3730, 585, 18351, 1944, 2168, 543, 3059, 7221, 267, 954, 6016, 1464, 10838, 3625, 577, 1622, 543, 9371, 1949, 1590, 581, 5150, 543, 15774, 269, 2667, 1115, 1058, 581, 3362, 4483, 762, 2066, 3625, 577, 1622, 610, 28099, 655, 762, 538, 2168, 1106, 1510, 1373, 7142, 883, 519, 3623, 334, 540, 513, 2582, 9893, 3060, 563, 13010, 267, 18351, 1436, 540, 2757, 7221, 786, 2154, 2312, 543, 7347, 6042, 1354, 621, 4422, 13416, 269, 769, 519, 2475, 267, 585, 3236, 267, 519, 22444, 543, 595, 10499, 290, 3136, 547, 544, 1638, 6042, 585, 19116, 267, 1546, 22380, 9988, 267, 32454, 267, 543, 824, 3059, 7221, 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 ]
[ 12255, 14756, 482, 420, 490, 481, 18713, 368, 19540, 483, 8147, 20992, 31284, 418, 361, 350, 13213, 511, 28786, 417, 479, 504, 16583, 484, 14035, 485, 1477, 1038, 2451, 10000, 8624, 815, 897, 310, 718, 1477, 1038, 1948, 13127, 371, 366, 14756, 493, 420, 369, 364, 13213, 485, 7511, 21928, 31284, 13601, 418, 361, 350, 420, 371, 367, 13213, 485, 1477, 1038, 2451, 10000, 305, 578, 6834, 476, 272, 24653, 1038, 1247, 2451, 10000, 305, 578, 10922, 897, 310, 718, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 305, 578, 6834, 476, 272, 1477, 1038, 2451, 10000, 305, 578, 815, 4737, 310, 718, 1477, 1038, 2451, 10000, 8624, 20699, 476, 272, 5897, 1038, 1247, 2451, 10000, 8624, 13843, 524, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 8624, 20699, 476, 272, 1477, 1038, 2451, 10000, 305, 578, 20699, 476, 272, 1477, 1038, 2451, 10000, 8624, 815, 524, 5897, 1038, 1247, 2451, 10000, 305, 578, 3436, 678, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 305, 578, 20699, 476, 272, 5897, 1038, 678, 6834, 476, 272, 1477, 1038, 524, 6834, 476, 272, 1477, 1038, 4737, 310, 718, 20699, 476, 272, 1477, 1038, 897, 310, 718, 20699, 476, 272, 24653, 1551, 815, 1496, 1477, 825, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 3910, 1477, 825, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 3910, 1477, 825, 1496, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 3910, 1477, 825, 1496, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 15947, 15947, 2745, 6635, 337, 19906, 3418, 0, 3698, 2638, 263, 9795, 21726, 11971, 267, 330, 8029, 825, 585, 1775, 538, 2039, 263, 271, 267, 280, 8029, 1038, 952, 5119, 20572, 6012, 328, 316, 2652, 1193, 17347, 264, 2433, 1477, 2018, 2132, 8771, 1477, 1038, 952, 5119, 5157, 6012, 344, 316, 2652, 1193, 17347, 8029, 2018, 2132, 8771, 1477, 825, 585, 1775, 538, 2039, 9230, 343, 2260, 274, 12684, 274, 267, 263, 343, 2260, 274, 266, 272, 12684, 274, 8029, 1038, 585, 795, 538, 2039, 9230, 344, 2260, 274, 12684, 274, 267, 263, 344, 2260, 274, 266, 272, 12684, 274, 8029, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 1193, 17347, 8029, 3546, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 3070, 263, 9795, 21726, 11971, 8029, 825, 952, 1535, 2525, 280, 6769, 1038, 1820, 263, 9795, 3418, 1038, 14827, 14052, 825, 952, 5119, 20572, 6012, 344, 316, 2652, 1412, 271, 262, 6769, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1015, 8029, 2018, 952, 2638, 263, 9795, 21726, 11971, 267, 328, 8029, 3546, 5119, 20572, 6012, 344, 316, 815, 1193, 9217, 3418, 3546, 3070, 263, 9795, 21726, 23444, 344, 266, 272, 264, 2260, 280, 267, 263, 344, 266, 272, 264, 260, 280, 3418, 1038, 5119, 20572, 6012, 344, 316, 815, 1412, 271, 262, 1477, 825, 3116, 6769, 1038, 3070, 263, 9795, 21726, 23444, 344, 266, 272, 264, 2260, 280, 267, 263, 344, 266, 272, 264, 260, 280, 3418, 9795, 815, 1496, 15947, 1721, 1775, 538, 2039, 263, 271, 267, 280, 8029, 825, 538, 335, 815, 1592, 9272, 3890, 3418, 825, 5119, 6910, 263, 514, 335, 10142, 258, 1820, 263, 9795, 3418, 338, 1828, 263, 9795, 267, 271, 267, 271, 3418, 258, 476, 22650, 4968, 1822, 1477, 258, 476, 8517, 1822, 22903, 1477, 258, 476, 271, 3583, 18089, 4335, 1477, 258, 476, 6110, 22650, 4968, 1477, 258, 476, 18089, 271, 3583, 24879, 1477, 258, 476, 19740, 1220, 24699, 1477, 258, 476, 271, 2568, 4335, 27947, 1477, 258, 476, 21916, 1822, 27157, 1477, 258, 476, 1822, 27947, 10384, 1477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12553, 267, 1744, 752, 16210, 18491, 541, 267, 918, 7974, 268, 27844, 27947, 630, 305, 1690, 13776, 1912, 281, 476, 5881, 275, 275, 268, 7742, 4343, 280, 273, 692, 1015, 630, 1015, 524, 476, 272, 994, 321, 692, 267, 1141, 513, 267, 536, 267, 524, 715, 692, 17273, 1948, 476, 4391, 692, 303, 14176, 306, 12903, 454, 275, 780, 1012, 1703, 568, 513, 5347, 6378, 6677, 1511, 2627, 269, 589, 9325, 568, 5950, 689, 533, 269, 4855, 23241, 263, 276, 7436, 2020, 9217, 264, 18027, 607, 1599, 540, 454, 23870, 264, 26395, 607, 513, 1599, 454, 31702, 264, 942, 3144, 689, 623, 547, 454, 263, 643, 264, 519, 5114, 3196, 693, 692, 276, 780, 263, 276, 7436, 2020, 1012, 9717, 281, 17241, 24177, 681, 24177, 681, 309, 692, 27916, 13846, 25883, 305, 815, 1923, 305, 10163, 2008, 9217, 264, 12433, 681, 303, 454, 23870, 264, 12433, 681, 304, 454, 31702, 264, 4855, 519, 1871, 540, 681, 585, 799, 681, 303, 815, 681, 304, 454, 277, 780, 263, 276, 7436, 2020, 1012, 630, 328, 264, 1265, 519, 2990, 540, 519, 3239, 692, 23870, 264, 1265, 519, 2990, 540, 1776, 6677, 1511, 11604, 540, 17122, 3259, 476, 276, 4699, 269, 1141, 621, 1058, 581, 5116, 1318, 2427, 540, 454, 629, 913, 6677, 1511, 7828, 971, 602, 3803, 3239, 14626, 1938, 609, 519, 1843, 563, 31702, 264, 1403, 513, 7077, 11604, 568, 5116, 538, 1747, 540, 6677, 1511, 11604, 693, 519, 1482, 2990, 267, 1287, 1265, 519, 2990, 540, 3803, 454, 13548, 780, 17273, 1948, 476, 4343, 692, 290, 4047, 300, 8780, 23802, 454, 278, 780, 289, 582, 1479, 268, 272, 23241, 289, 582, 1479, 268, 273, 23241, 289, 582, 1479, 268, 274, 23241, 289, 582, 1479, 268, 275, 23241, 263, 276, 7436, 2020, 1012, 10576, 519, 11480, 23241, 263, 296, 994, 10490, 264, 4171, 1543, 1281, 711, 2746, 609, 476, 272, 301, 670, 5141, 610, 476, 272, 301, 10878, 15121, 563, 16360, 264, 4171, 1543, 23465, 609, 476, 272, 301, 10878, 15121, 1152, 563, 18154, 264, 4171, 1543, 23465, 609, 476, 272, 301, 10878, 15121, 543, 476, 272, 301, 670, 5141, 1312, 563, 20573, 264, 4171, 1543, 23465, 609, 476, 272, 301, 670, 5141, 1152, 563, 263, 2862, 994, 763, 11480, 4171, 1543, 568, 3810, 19729, 538, 30341, 1216, 780, 279, 780, 288, 7601, 7626, 729, 5701, 609, 670, 17472, 274, 547, 1106, 19923, 263, 17472, 274, 264, 273, 267, 6904, 593, 2417, 5114, 609, 918, 267, 3029, 19923, 273, 267, 799, 454, 1372, 1260, 5099, 547, 1106, 19923, 2420, 543, 476, 273, 267, 476, 273, 729, 5707, 3603, 609, 10878, 273, 306, 273, 302, 274, 563, 263, 276, 7436, 994, 263, 296, 994, 25911, 766, 519, 6547, 3238, 630, 22772, 856, 2418, 540, 513, 547, 12467, 5416, 994, 320, 19923, 1341, 536, 670, 17472, 274, 524, 19923, 263, 17472, 274, 264, 273, 1341, 546, 12971, 1341, 552, 670, 273, 302, 454, 6357, 994, 325, 19923, 273, 575, 19923, 2420, 1341, 554, 476, 273, 454, 6262, 994, 328, 10878, 273, 306, 273, 302, 274, 1341, 795, 476, 273, 737, 10878, 273, 306, 275, 302, 277, 1341, 10878, 454, 263, 2862, 2020, 280, 780, 1012, 5274, 1373, 2838, 476, 7742, 271, 918, 5632, 540, 1648, 829, 1554, 692, 263, 276, 7436, 994, 290, 1321, 295, 2420, 302, 1556, 1341, 476, 1321, 744, 273, 476, 1321, 2910, 273, 1341, 476, 1556, 670, 273, 302, 454, 295, 815, 476, 276, 269, 277, 476, 11793, 808, 1315, 12387, 454, 9217, 994, 14549, 1373, 2838, 476, 9982, 32465, 737, 297, 540, 1648, 829, 1554, 563, 23870, 994, 8649, 870, 540, 7319, 13427, 2838, 829, 1554, 543, 4320, 540, 2910, 273, 7960, 1282, 519, 1184, 1496, 520, 5254, 303, 6540, 10292, 13256, 454, 1015, 780, 300, 2129, 7236, 267, 513, 17055, 540, 25941, 580, 541, 327, 4682, 547, 1744, 574, 5055, 609, 1200, 3237, 269, 1703, 1352, 1336, 519, 1482, 2030, 602, 454, 16269, 723, 538, 741, 18147, 267, 693, 1753, 267, 1717, 267, 1352, 4767, 602, 1247, 519, 2371, 538, 741, 18147, 16004, 454, 19009, 5810, 267, 1346, 538, 1744, 574, 5055, 1185, 11909, 5810, 269, 2701, 4547, 1753, 930, 5452, 540, 519, 2030, 689, 1744, 574, 5055, 454, 663, 12630, 873, 538, 25941, 580, 541, 327, 269, 16270, 7900, 1582, 22249, 5338, 585, 1896, 5481, 1352, 1336, 602, 519, 454, 8690, 689, 1744, 574, 5055, 3812, 1152, 3043, 5810, 563, 5416, 264, 4340, 547, 596, 1018, 1522, 581, 519, 2601, 585, 713, 8343, 4719, 610, 2825, 2188, 888, 6357, 264, 21909, 513, 2241, 4603, 547, 3313, 2436, 713, 8390, 568, 4719, 538, 2470, 563, 6262, 264, 21909, 1776, 4603, 547, 2638, 2436, 713, 8390, 538, 8768, 2681, 568, 1813, 547, 2825, 454, 2399, 832, 563, 263, 276, 7436, 2020, 1556, 780, 10908, 26651, 692, 13695, 745, 17771, 454, 29403, 692, 1012, 6599, 12935, 1341, 2910, 273, 630, 1103, 519, 9000, 540, 744, 273, 552, 3052, 28629, 324, 770, 25589, 299, 12519, 3679, 630, 1103, 519, 9000, 540, 744, 273, 552, 907, 326, 269, 561, 12519, 3679, 4551, 2020, 1012, 595, 22664, 2207, 18161, 19860, 2433, 476, 12553, 267, 1744, 752, 16210, 18491, 541, 267, 918, 7974, 268, 27844, 27947, 630, 305, 1690, 13776, 1912, 281, 476, 5881, 275, 275, 268, 7742, 4343, 280, 273, 692, 17273, 1948, 476, 4375, 692, 16248, 6901, 630, 288, 267, 645, 267, 595, 264, 723, 1044, 1305, 909, 269, 769, 1142, 4603, 267, 513, 1166, 2532, 3568, 519, 11248, 538, 454, 29115, 5420, 267, 7280, 543, 513, 6960, 20004, 602, 2242, 922, 15437, 547, 5835, 950, 519, 9063, 11081, 269, 634, 454, 17625, 540, 519, 1166, 2532, 568, 7923, 547, 513, 1449, 8546, 5627, 18654, 1216, 630, 9773, 6458, 10281, 6918, 728, 267, 607, 3254, 538, 519, 454, 29664, 1040, 538, 595, 267, 855, 711, 538, 589, 543, 645, 267, 2011, 568, 6569, 689, 519, 1166, 2532, 1354, 4098, 519, 4603, 780, 299, 830, 692, 4248, 692, 1012, 5029, 1143, 538, 9177, 23839, 692, 266, 3794, 26651, 1341, 667, 6614, 454, 5475, 513, 1974, 540, 2208, 267, 519, 1739, 7422, 941, 1500, 10778, 288, 2433, 700, 830, 1216, 7140, 5144, 344, 6902, 519, 20004, 7990, 3788, 519, 1482, 563, 289, 2433, 634, 20004, 7990, 2242, 6902, 18654, 1216, 1281, 711, 2490, 5144, 344, 563, 290, 2433, 700, 830, 1216, 7140, 5144, 344, 6902, 519, 20004, 7990, 3788, 519, 1482, 563, 5416, 264, 7726, 2433, 10576, 799, 540, 519, 6547, 568, 519, 11444, 13269, 1657, 568, 2921, 1747, 538, 1142, 454, 263, 275, 7436, 994, 6357, 264, 7726, 2433, 10576, 799, 540, 519, 6547, 538, 519, 11444, 13269, 1657, 568, 4397, 547, 2049, 538, 4414, 454, 26108, 19204, 630, 305, 6195, 338, 994, 263, 272, 7436, 994, 1321, 780, 288, 10196, 814, 513, 2777, 1175, 22290, 513, 11112, 19814, 269, 1261, 25173, 3762, 689, 930, 2371, 3395, 538, 1010, 454, 326, 31678, 547, 798, 5925, 28003, 6580, 630, 1729, 7447, 519, 2085, 540, 519, 2030, 676, 21501, 519, 2179, 540, 513, 5925, 529, 582, 2100, 454, 1993, 3327, 538, 922, 8031, 1040, 5080, 29418, 519, 5925, 28003, 6580, 2982, 602, 519, 2030, 568, 513, 1906, 8536, 1296, 454, 1245, 994, 5416, 264, 12984, 519, 1267, 540, 519, 5925, 28003, 6580, 4636, 610, 666, 596, 15974, 513, 2601, 585, 971, 606, 8343, 888, 263, 274, 7436, 994, 6357, 264, 1548, 2241, 4603, 666, 581, 2944, 547, 1449, 519, 2601, 602, 596, 723, 6069, 15017, 263, 273, 7436, 2020, 17273, 1948, 476, 2412, 0, 5228, 7793, 5332, 321, 1104, 15441, 1948, 585, 519, 808, 1575, 344, 614, 1433, 3184, 7531, 258, 476, 279, 269, 2677, 21564, 4578, 258, 692, 9616, 692, 1607, 3184, 676, 25595, 631, 269, 717, 675, 1188, 529, 543, 568, 5950, 896, 519, 12689, 585, 713, 1433, 269, 15689, 540, 713, 3184, 616, 9862, 689, 15623, 9197, 2794, 779, 5140, 5775, 342, 1359, 2055, 609, 1239, 1433, 1496, 290, 10064, 866, 316, 799, 849, 14405, 689, 689, 12253, 548, 18937, 541, 549, 779, 5140, 4804, 10803, 609, 681, 1433, 1496, 301, 822, 1556, 4940, 2290, 2101, 1689, 568, 519, 3009, 729, 9862, 547, 946, 9226, 543, 795, 1575, 344, 614, 269, 769, 1840, 519, 4367, 729, 8719, 270, 26211, 2989, 269, 589, 3184, 593, 10855, 7194, 543, 9756, 941, 24673, 780, 2171, 5892, 2808, 2081, 547, 14650, 1239, 1210, 2780, 12449, 269, 10439, 3074, 948, 721, 1294, 3270, 538, 1239, 543, 547, 13182, 938, 1620, 269, 10439, 1436, 849, 3006, 948, 547, 17412, 1239, 538, 513, 811, 11741, 1106, 982, 3168, 693, 519, 6151, 1239, 269, 1717, 267, 538, 930, 2665, 621, 568, 811, 5730, 547, 17412, 938, 1239, 1210, 2338, 799, 649, 1289, 10855, 7194, 780, 5327, 20696, 7194, 616, 4440, 519, 14724, 543, 1034, 3551, 2460, 540, 8579, 1239, 2079, 269, 1284, 616, 1138, 335, 2391, 2921, 513, 4015, 540, 2338, 543, 7384, 513, 1007, 1297, 799, 26564, 519, 1239, 538, 930, 1259, 269, 1703, 616, 1082, 1114, 10855, 7194, 543, 799, 568, 1034, 3617, 5673, 513, 2603, 593, 519, 2470, 540, 519, 1239, 543, 1018, 596, 1616, 547, 5968, 827, 519, 1239, 547, 1866, 269, 15439, 2322, 267, 513, 10855, 18802, 568, 513, 1297, 267, 17223, 593, 513, 4015, 540, 2338, 630, 328, 4318, 1421, 1239, 1070, 602, 19306, 1945, 1271, 827, 519, 1239, 780, 10907, 27854, 4574, 538, 6530, 616, 1396, 339, 1229, 609, 10855, 2493, 527, 923, 1256, 952, 1102, 22460, 7194, 630, 628, 902, 649, 786, 1865, 2663, 264, 1439, 909, 1373, 519, 968, 4148, 1662, 5006, 892, 4681, 269, 1284, 991, 10855, 7194, 547, 2995, 3988, 540, 938, 4574, 610, 5304, 2818, 693, 938, 12909, 9706, 739, 619, 1018, 10416, 4682, 593, 538, 513, 10471, 1510, 6029, 873, 782, 540, 519, 1239, 610, 4758, 1932, 1082, 13602, 270, 6665, 783, 3074, 269, 29149, 7194, 4043, 547, 581, 2656, 267, 2653, 547, 6655, 24096, 269, 769, 1840, 267, 2094, 789, 616, 2356, 2338, 267, 789, 16153, 2653, 6476, 547, 835, 1776, 780, 2467, 616, 6266, 540, 1114, 10855, 7194, 269, 634, 835, 596, 616, 5310, 1034, 5432, 609, 568, 519, 12980, 3328, 610, 1611, 630, 324, 3052, 1421, 950, 596, 12337, 707, 3328, 3446, 585, 519, 1362, 621, 26564, 707, 2773, 538, 519, 1362, 2066, 1082, 1114, 10467, 1040, 1717, 972, 616, 1082, 1866, 649, 786, 1865, 267, 543, 621, 1249, 621, 568, 2009, 547, 12337, 1007, 7194, 3054, 2439, 7197, 540, 519, 8579, 2035, 538, 713, 3184, 1058, 581, 2689, 952, 596, 723, 3144, 606, 2606, 7194, 1576, 538, 6530, 269, 1548, 596, 786, 1451, 676, 2542, 5402, 568, 875, 547, 3362, 12337, 10855, 7194, 585, 1114, 14449, 1210, 5124, 543, 17455, 553, 267, 513, 2689, 540, 519, 26350, 543, 2495, 540, 1585, 7194, 267, 543, 875, 547, 1867, 873, 538, 4574, 543, 12909, 780, 1012, 476, 279, 269, 272, 269, 7151, 13096, 553, 564, 258, 692, 2171, 2253, 676, 15205, 606, 1383, 10471, 883, 513, 17455, 553, 1239, 18134, 602, 649, 786, 946, 607, 606, 1383, 2429, 713, 3184, 780, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 26026, 1941, 607, 521, 985, 454, 5814, 21267, 28272, 607, 12301, 692, 260, 3901, 15003, 538, 1467, 692, 4206, 815, 19073, 18667, 32269, 3488, 10059, 2517, 339, 4176, 14766, 2593, 30819, 5984, 277, 344, 12682, 279, 262, 9239, 763, 1239, 568, 689, 519, 744, 300, 25712, 1788, 799, 12116, 875, 1004, 1451, 543, 7340, 1344, 269, 769, 713, 1808, 10471, 513, 1305, 540, 5171, 6594, 513, 1592, 540, 476, 3393, 26403, 1014, 30165, 6863, 1913, 2947, 2053, 585, 1142, 2262, 269, 8056, 2664, 2299, 1310, 1353, 267, 16045, 5795, 1142, 2262, 6292, 513, 968, 9080, 613, 618, 6361, 19543, 892, 630, 297, 5357, 264, 12773, 540, 875, 2693, 789, 5433, 789, 1131, 3314, 713, 6292, 693, 513, 2663, 1449, 269, 1358, 1287, 3357, 1394, 585, 513, 1449, 8400, 1896, 3108, 2663, 630, 24119, 2056, 593, 513, 1063, 28175, 915, 2783, 264, 543, 941, 4843, 609, 519, 26403, 1014, 2262, 540, 1142, 6292, 543, 4280, 547, 1826, 538, 519, 7222, 2296, 2262, 780, 763, 9587, 540, 519, 10471, 616, 607, 5205, 1384, 1892, 8488, 14682, 4981, 281, 519, 16977, 942, 914, 30591, 519, 1353, 547, 11291, 1449, 585, 713, 16045, 630, 9616, 602, 519, 3169, 942, 1063, 1353, 543, 1449, 585, 513, 1880, 1268, 1058, 581, 5833, 689, 519, 3769, 4626, 652, 10102, 2020, 1892, 589, 281, 7525, 11291, 1310, 1439, 540, 1353, 543, 808, 5357, 7161, 692, 1892, 595 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 538, 519, 1858, 1063, 519, 2539, 1394, 543, 519, 17525, 563, 290, 969, 673, 11120, 564, 15540, 454, 2252, 519, 1858, 4299, 568, 17818, 267, 1287, 1928, 666, 2049, 538, 519, 1394, 540, 519, 8405, 543, 2234, 5573, 547, 519, 1283, 540, 519, 17525, 543, 1287, 666, 2234, 5573, 1472, 519, 8405, 563, 303, 6372, 9615, 1107, 634, 12844, 10620, 21558, 11120, 564, 1546, 1962, 728, 618, 454, 5719, 1962, 728, 618, 568, 519, 10551, 8851, 540, 14324, 267, 28332, 267, 8697, 610, 4666, 5160, 269, 634, 12844, 10620, 26488, 18788, 1928, 11897, 1424, 5160, 538, 8229, 8371, 1657, 543, 2630, 519, 4299, 25246, 10549, 593, 519, 12636, 269, 2991, 513, 1507, 1651, 1707, 568, 1500, 267, 513, 6263, 6775, 23726, 8254, 568, 1031, 547, 14650, 519, 3169, 1966, 1858, 543, 513, 8955, 568, 1031, 547, 11517, 1125, 519, 11213, 13285, 1472, 519, 4299, 1858, 269, 901, 12844, 10620, 26488, 5340, 676, 12751, 13106, 30249, 14037, 31048, 517, 267, 21238, 744, 269, 12844, 10620, 631, 6185, 1421, 610, 1776, 12844, 10620, 1975, 710, 4659, 18874, 267, 2356, 3217, 1447, 982, 835, 5662, 543, 1034, 2550, 1265, 7525, 8323, 689, 25246, 2068, 1928, 269, 0, 763, 7464, 1977, 14134, 281, 589, 25990, 593, 16593, 12830, 4658, 454, 20694, 529, 632, 570, 665, 4302, 6807, 454, 20694, 529, 632, 570, 665, 4302, 6807, 729, 513, 1340, 539, 3943, 2797, 20626, 543, 14787, 945, 10272, 1977, 538, 519, 476, 8146, 271, 338, 269, 1261, 729, 6537, 547, 3013, 547, 1451, 811, 827, 922, 9111, 269, 1546, 570, 665, 4302, 6807, 1185, 2123, 4128, 585, 1010, 16007, 547, 3013, 269, 3571, 4651, 1185, 1044, 29802, 1282, 519, 3943, 7169, 269, 3962, 1554, 267, 1010, 4651, 1131, 3196, 5128, 547, 23040, 693, 513, 1978, 5662, 1317, 621, 729, 1282, 602, 5662, 602, 519, 22651, 1131, 6430, 547, 2824, 513, 4351, 26956, 585, 519, 1368, 650, 13534, 269, 1924, 1082, 1296, 1310, 646, 729, 15685, 267, 1010, 4651, 729, 1869, 20807, 539, 676, 519, 16897, 646, 1185, 5030, 998, 269, 1546, 570, 665, 4302, 6807, 4941, 547, 3643, 3013, 267, 513, 1747, 1141, 602, 2186, 540, 29880, 1995, 1223, 27985, 2760, 2291, 563, 5719, 570, 665, 4302, 6807, 1185, 513, 2648, 10774, 622, 2078, 609, 713, 1007, 2197, 269, 2755, 646, 4941, 547, 7747, 519, 1863, 4182, 1101, 11804, 267, 646, 4440, 1185, 513, 2631, 602, 3013, 543, 9111, 7012, 1405, 782, 602, 621, 729, 29618, 1862, 0, 11990, 7812, 7033, 595, 5341, 2023, 32298, 454, 2108, 5472, 2101, 6249, 11614, 723, 1185, 17799, 269, 1879, 789, 8118, 18557, 1633, 538, 476, 4198, 277, 4986, 5249, 28461, 2108, 3719, 3627, 267, 952, 519, 623, 29521, 540, 519, 12144, 9397, 1524, 267, 519, 31503, 1810, 1406, 3548, 519, 14666, 3034, 1607, 5618, 6643, 689, 519, 1134, 8153, 4670, 30083, 26226, 5244, 1063, 3627, 30623, 1180, 267, 519, 8227, 540, 519, 6288, 543, 27950, 29346, 267, 513, 22301, 267, 9356, 519, 3003, 23350, 540, 519, 3209, 30083, 26226, 5244, 269, 769, 519, 3209, 7812, 595, 5341, 2023, 12857, 519, 5467, 547, 519, 3353, 1054, 337, 14525, 9135, 543, 513, 1158, 1141, 14810, 543, 4641, 1810, 1406, 2141, 3575, 1134, 269, 18004, 538, 9628, 267, 13325, 593, 5239, 476, 2537, 267, 476, 3707, 273, 267, 7812, 595, 5341, 2023, 779, 1272, 2152, 543, 3573, 12599, 547, 16678, 2199, 525, 4299, 1082, 540, 1010, 9089, 267, 1519, 30083, 26226, 5244, 269, 15775, 547, 917, 519, 1272, 540, 7812, 595, 5341, 2023, 267, 8761, 602, 538, 30083, 26226, 5244, 646, 5932, 519, 1915, 540, 7033, 543, 7033, 779, 4651, 607, 513, 8086, 540, 7812, 595, 5341, 2023, 779, 1378, 2078, 609, 1010, 4651, 563, 28061, 595, 5341, 2023, 779, 1483, 2012, 729, 3627, 7812, 595, 5341, 2023, 267, 855, 646, 729, 1419, 1572, 7812, 1317, 1010, 4651, 779, 2012, 729, 3627, 269, 7812, 779, 4651, 729, 513, 19784, 799, 3366, 7812, 547, 1376, 1010, 4876, 607, 513, 5856, 3592, 5612, 269, 595, 5341, 2023, 779, 3993, 3576, 606, 5393, 3742, 1909, 538, 6029, 1200, 1453, 2528, 676, 2921, 873, 547, 7366, 540, 15882, 267, 4249, 267, 543, 9413, 267, 6679, 7812, 595, 5341, 2023, 909, 547, 519, 1082, 1114, 5396, 540, 9089, 646, 814, 2854, 827, 269, 3571, 1082, 13542, 609, 1010, 4651, 3627, 26673, 3205, 3769, 11913, 6057, 269, 968, 7069, 4651, 29739, 593, 9355, 543, 1786, 6143, 267, 543, 646, 1223, 581, 513, 10792, 10404, 2223, 595, 5341, 2023, 6045, 538, 1010, 26249, 3004, 12069, 630, 288, 553, 1263, 476, 1691, 1040, 5221, 540, 713, 6057, 267, 595, 5341, 2023, 5156, 602, 646, 1223, 711, 1489, 5128, 607, 513, 5856, 865, 646, 4682, 1055, 547, 2564, 1153, 269, 1879, 7812, 595, 5341, 2023, 729, 538, 2852, 267, 646, 5156, 602, 1010, 20485, 14201, 1406, 1373, 4023, 547, 1864, 609, 1010, 1603, 676, 4758, 1864, 3586, 3983, 9344, 269, 595, 5341, 2023, 4956, 547, 4603, 609, 713, 676, 2921, 606, 1557, 2854, 676, 6723, 2107, 6202, 267, 513, 4583, 2278, 267, 543, 12735, 3511, 1944, 621, 269, 3571, 3610, 2760, 16143, 621, 855, 1869, 5795, 1864, 513, 645, 268, 269, 901, 4603, 4951, 519, 1158, 7812, 595, 5341, 2023, 779, 6418, 1126, 269, 4438, 1010, 2852, 1296, 267, 7812, 595, 5341, 2023, 3323, 1603, 2984, 602, 941, 6707, 3370, 269, 901, 267, 2059, 609, 1010, 2178, 771, 3697, 540, 2564, 1153, 267, 3361, 595, 5341, 2023, 547, 16718, 269, 1879, 646, 1185, 6368, 5143, 1010, 1920, 602, 646, 729, 29655, 267, 789, 941, 10969, 730, 269, 1358, 7948, 1406, 3494, 602, 646, 1131, 2490, 1524, 971, 606, 22644, 539, 4876, 267, 865, 547, 1118, 873, 6126, 646, 4956, 547, 9096, 1153, 855, 711, 1831, 513, 4387, 269, 7812, 595, 5341, 2023, 2663, 6410, 547, 11968, 13353, 1141, 646, 13166, 3323, 1010, 1603, 269, 2060, 519, 22429, 540, 1010, 2564, 2833, 267, 595, 5341, 2023, 2813, 513, 1007, 9135, 540, 2835, 281, 634, 3353, 1054, 337, 14525, 269, 634, 3353, 1054, 337, 14525, 968, 25075, 1938, 513, 5318, 1297, 540, 5013, 547, 13599, 519, 5467, 827, 519, 1641, 543, 15004, 621, 538, 513, 1650, 4904, 609, 24457, 543, 1875, 17380, 2962, 2223, 630, 288, 553, 1263, 476, 1015, 1040, 898, 729, 5156, 602, 519, 3353, 1054, 337, 14525, 1185, 1831, 971, 513, 1967, 1317, 540, 595, 5341, 2023, 779, 4686, 4987, 269, 1717, 267, 519, 3353, 1054, 337, 14525, 7012, 1406, 782, 602, 7812, 1185, 5059, 593, 282, 646, 849, 1705, 3978, 9089, 827, 1483, 2152, 971, 607, 16377, 267, 4638, 18275, 543, 2804, 13137, 269, 3571, 1360, 1101, 3209, 799, 595, 5341, 2023, 1572, 13095, 1091, 2201, 1185, 1044, 2854, 538, 513, 2511, 2147, 547, 27950, 18307, 2719, 779, 6276, 20607, 3126, 269, 7812, 595, 5341, 2023, 779, 1360, 1101, 3353, 1054, 337, 14525, 3323, 609, 513, 2012, 267, 693, 1101, 646, 22821, 1406, 1634, 1018, 519, 3209, 1131, 581, 827, 267, 855, 519, 2140, 27278, 1864, 267, 634, 1656, 668, 20364, 853, 1778, 630, 304, 26031, 1040, 634, 1650, 7854, 539, 1483, 3734, 3621, 4145, 827, 15408, 9991, 547, 3047, 2870, 12357, 3676, 543, 7972, 269, 7053, 267, 1310, 1082, 9089, 543, 1256, 1010, 1378, 26249, 267, 7812, 595, 5341, 2023, 3459, 547, 1224, 1082, 2835, 827, 17878, 267, 4929, 1864, 547, 1831, 899, 1010, 1915, 538, 30083, 26226, 5244, 267, 7033, 269, 2311, 1101, 646, 18923, 6785, 4376, 827, 17878, 267, 855, 646, 729, 4166, 26970, 269, 595, 5341, 2023, 4956, 621, 1131, 581, 513, 1390, 3209, 547, 2328, 827, 267, 855, 646, 1185, 1082, 2591, 538, 2870, 519, 1650, 269, 634, 1101, 1966, 729, 547, 1118, 621, 1825, 15344, 267, 513, 5578, 799, 595, 5341, 2023, 1185, 27058, 538, 1082, 540, 1010, 3105, 9089, 269, 589, 9097, 12779, 11893, 6048, 1500, 595, 5341, 2023, 779, 3209, 2009, 538, 476, 2735, 276, 609, 835, 3661, 281, 21300, 5027, 1223, 581, 17332, 883, 513, 1591, 13540, 543, 3744, 1223, 1683, 513, 586, 5803, 543, 5798, 17850, 538, 799, 17878, 1223, 24011, 538, 519, 1459, 1554, 269, 2334, 267, 2705, 267, 4547, 909, 1776, 1966, 269, 7316, 1131, 519, 4719, 1570, 2097, 689, 286, 12207, 32424, 602, 952, 22300, 12073, 657, 941, 547, 581, 16290, 538, 993, 828, 543, 519, 993, 828, 729, 547, 10393, 2182, 523, 267, 8726, 5027, 519, 18151, 1185, 6394, 1131, 581, 12873, 269, 901, 3361, 513, 10565, 26545, 1076, 540, 3621, 8906, 269, 634, 2034, 1966, 729, 4466, 513, 6249, 585, 519, 3209, 267, 799, 568, 1141, 24755, 657, 3069, 3357, 538, 269, 634, 24755, 657, 3069, 968, 10852, 13935, 602, 972, 568, 2141, 513, 1978, 1377, 540, 17674, 1464, 538, 1950, 1949, 2223, 630, 288, 553, 1263, 476, 7830, 1040, 634, 3791, 543, 3803, 1966, 538, 519, 5137, 540, 30083, 26226, 5244, 729, 922, 1292, 1915, 269, 2311, 1101, 595, 5341, 2023, 4941, 547, 723, 519, 1650, 581, 5143, 998, 519, 4064, 540, 519, 1507, 7911, 267, 7033, 269, 1717, 267, 2937, 13915, 554, 730, 621, 1317, 789, 7948, 1406, 9305, 547, 971, 513, 1762, 1915, 267, 865, 7812, 4957, 621, 547, 519, 1448, 540, 2070, 540, 519, 12779, 2632, 6048, 267, 3220, 269, 21142, 16827, 269, 1809, 1256, 1498, 621, 729, 998, 16827, 779, 4064, 267, 519, 1126, 1869, 7283, 538, 519, 1650, 607, 7812, 269, 2991, 519, 3209, 729, 3370, 538, 476, 1960, 271, 267, 621, 2968, 865, 2442, 602, 621, 729, 3533, 538, 519, 3946, 540, 21035, 269, 3414, 519, 13300, 540, 21035, 267, 30083, 26226, 5244, 3361, 7812, 595, 5341, 2023, 547, 1831, 835, 540, 519, 1034, 4922, 1634, 4589, 538, 519, 1158, 563, 297, 584, 26226, 5244, 3217, 1747, 538, 1082, 1114, 6753, 267, 855, 5631, 538, 968, 29006, 3803, 1079, 2395, 538, 4864, 476, 2735, 280, 593, 513, 6552, 6532, 1055, 519, 7178, 5032, 540, 22728, 28573, 2223, 630, 290, 5341, 2023, 1535, 4512, 1040, 6301, 3197, 21142, 16827, 267, 513, 17288, 4458, 6040, 12779, 2632, 6048, 267, 543, 11875, 773, 590, 3430, 2401, 267, 849, 513, 12779, 2632, 6048, 267, 616, 8678, 676, 1082, 824, 3744, 543, 22697, 19430, 547, 1294, 30083, 26226, 5244, 1310, 513, 605, 1260, 338, 1758, 987, 639, 568, 4362, 22215, 513, 1762, 8004, 593, 513, 11824, 269, 589, 605, 1260, 338, 1758, 987, 639, 267, 610, 735, 344, 585, 2110, 267, 729, 513, 1507, 25094, 10152, 543, 1336, 547, 581, 835, 540, 519, 17646, 5006, 543, 9998, 17878, 540, 519, 30083, 26226, 5736, 269, 30083, 26226, 5244, 729, 2813, 676, 513, 29235, 5498, 1597, 1032, 2025, 3627, 30623, 1180, 607, 513, 6288, 585, 1453, 269, 30623, 1180, 267, 1498, 10995, 267, 2306, 3833, 513, 1906, 9073, 269, 8409, 9073, 2813, 513, 6727, 6335, 547, 519, 17681, 30083, 26226, 5244, 267, 519, 1448, 693, 799, 595, 5341, 2023, 779, 6249, 585, 519, 3209, 19674, 269, 21142, 16827, 568, 14376, 547, 30083, 26226, 5244, 1317, 621, 568, 20948, 676, 17255, 7068, 1673, 514, 14795, 269, 634, 21300, 23291, 5526, 9985, 2922, 609, 18546, 1881, 31966, 543, 9674, 7068, 2507, 2863, 559, 1945, 4422, 4636, 269, 667, 12447, 715, 539, 787, 267, 513, 2780, 11285, 2324, 538, 519, 1852, 4055, 693, 30083, 26226, 5244, 267, 568, 5393, 6067, 9037, 543, 30217, 748, 269, 3571, 2648, 585, 2724, 568, 5469, 2406, 3677, 982, 1010, 2702, 547, 9101, 9800, 269, 715, 539, 787, 267, 1310, 7432, 1055, 782, 3354, 1949, 543, 27560, 10475, 21300, 5027, 267, 568, 30122, 7166, 676, 513, 20715, 8920, 2684, 28683, 269, 968, 685, 291, 559, 2684, 28683, 16224, 2507, 8072, 529, 835, 540, 519, 9998, 23097, 5387, 17878, 269, 12207, 2219, 741, 10265, 6091, 941, 1932, 4617, 547, 6146, 10352, 267, 543, 16545, 789, 941, 5097, 25094, 12310, 269, 1809, 1631, 649, 917, 789, 616, 20715, 2223, 630, 290, 5341, 2023, 476, 16318, 1040, 2311, 519, 1482, 942, 267, 1453, 7033, 543, 22858, 32298, 267, 21142, 16827, 267, 543, 1082, 1866, 616, 8429, 676, 519, 1034, 5906, 851, 540, 519, 30083, 26226, 5244, 4663, 281, 634, 570, 7304, 1410, 3296, 269, 589, 27337, 881, 6172, 1314, 1671, 1132, 607, 519, 28112, 2335, 13239, 9397, 998, 519, 796, 3887, 937, 337, 1881, 31966, 543, 6285, 519, 2244, 14265, 23924, 269, 2311, 519, 1439, 540, 519, 4323, 267, 7033, 543, 22858, 616, 21235, 17499, 267, 543, 16827, 568, 2451, 547, 1265, 873, 269, 4014, 519, 6172, 1314, 540, 741, 3460, 998, 30083, 26226, 5244, 568, 936, 267, 741, 7045, 814, 1175, 13175, 269, 20653, 1539, 571, 696, 832, 267, 930, 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 ]
[ 269, 808, 1872, 754, 560, 559, 267, 849, 4122, 5219, 547, 607, 3203, 715, 537, 557, 879, 267, 568, 6353, 676, 922, 16560, 267, 5214, 3029, 6273, 676, 2470, 543, 11394, 547, 2736, 2476, 689, 519, 2757, 11265, 14908, 540, 519, 942, 269, 901, 2376, 786, 1683, 513, 2143, 543, 9488, 7650, 540, 808, 1872, 754, 6189, 267, 3695, 922, 1585, 2010, 267, 2442, 1806, 267, 11050, 7403, 267, 3604, 1063, 6163, 267, 543, 513, 3140, 2079, 540, 922, 5383, 543, 11393, 563, 8139, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 267, 12082, 538, 519, 3203, 715, 537, 557, 879, 3350, 267, 5088, 806, 519, 2093, 540, 1367, 1143, 267, 7499, 4082, 267, 543, 519, 10282, 540, 1148, 543, 4739, 269, 898, 9356, 513, 7287, 547, 1711, 513, 2698, 960, 540, 1148, 267, 1141, 1169, 3693, 267, 689, 519, 2679, 779, 2497, 547, 922, 10545, 3877, 267, 26779, 32069, 269, 2755, 808, 1872, 754, 6189, 568, 5097, 1634, 585, 922, 25798, 543, 5214, 15312, 267, 621, 849, 11363, 10342, 543, 6663, 547, 2087, 519, 2298, 540, 1272, 585, 922, 11317, 563, 15650, 540, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 13315, 513, 2647, 2039, 540, 2679, 2010, 267, 1519, 10821, 5321, 267, 5010, 5656, 267, 13039, 267, 543, 1857, 5624, 269, 3962, 1826, 15225, 2189, 4162, 855, 740, 12742, 547, 519, 2489, 3741, 540, 808, 1872, 754, 560, 559, 269, 1763, 7808, 808, 1872, 754, 16654, 8075, 1419, 4183, 13576, 267, 20078, 559, 710, 541, 3515, 267, 12623, 20470, 1795, 3547, 267, 543, 15022, 622, 24223, 538, 2326, 971, 607, 530, 3754, 4401, 267, 26911, 4837, 267, 543, 17375, 17981, 269, 20497, 5656, 9784, 1804, 4159, 9486, 267, 6946, 16560, 2609, 267, 543, 513, 1445, 593, 3308, 1764, 269, 932, 11699, 2966, 538, 519, 808, 1872, 754, 560, 559, 2511, 4043, 547, 6451, 3909, 13513, 543, 15022, 622, 24223, 547, 1711, 513, 5289, 5605, 4800, 269, 7053, 267, 1857, 5624, 267, 971, 607, 11614, 610, 16749, 10473, 267, 13686, 808, 1872, 754, 6189, 779, 2702, 547, 1711, 15138, 267, 2067, 5054, 1369, 519, 4683, 5251, 563, 28082, 6201, 540, 808, 1872, 754, 15339, 454, 15703, 11599, 5656, 12013, 1518, 808, 1872, 754, 6189, 779, 12716, 7907, 543, 5499, 1935, 269, 634, 1530, 20896, 8490, 538, 21499, 267, 2966, 676, 9478, 12756, 9986, 1962, 747, 267, 5713, 607, 513, 6305, 1383, 540, 808, 1872, 754, 560, 559, 779, 10058, 2511, 543, 15141, 1190, 2470, 269, 2060, 922, 11344, 26434, 543, 6946, 27536, 18305, 267, 621, 6763, 607, 513, 15266, 547, 519, 3350, 779, 7499, 543, 11265, 10781, 269, 6271, 1134, 8153, 808, 1872, 754, 560, 559, 20100, 568, 519, 670, 20110, 339, 601, 26800, 1088, 538, 29761, 267, 2966, 676, 8841, 29088, 320, 269, 901, 10821, 2679, 20502, 29088, 320, 779, 946, 540, 5214, 3515, 267, 16560, 4401, 1740, 267, 543, 7471, 9703, 5624, 547, 1711, 513, 7524, 543, 23887, 2713, 1604, 563, 23797, 5511, 12763, 906, 540, 808, 1872, 754, 15339, 454, 4407, 808, 1872, 754, 6189, 5097, 6212, 593, 15312, 543, 7499, 4082, 267, 972, 616, 1978, 11050, 7403, 602, 666, 581, 1031, 547, 6218, 922, 1967, 269, 2290, 971, 6482, 568, 519, 1297, 540, 11265, 3785, 6192, 538, 519, 808, 1872, 754, 560, 559, 2511, 936, 513, 1808, 1974, 269, 22718, 713, 1239, 666, 1683, 4030, 883, 519, 8560, 543, 9860, 540, 808, 1872, 754, 6189, 1282, 922, 30971, 1485, 269, 3958, 267, 519, 5222, 540, 808, 1872, 754, 6189, 593, 4683, 4058, 543, 519, 25465, 540, 2067, 2609, 267, 971, 607, 11614, 543, 10651, 267, 666, 581, 12290, 11050, 569, 547, 3313, 875, 808, 1872, 754, 560, 559, 8329, 547, 519, 2949, 6454, 540, 2713, 5054, 563, 11795, 3720, 1063, 808, 1872, 754, 15339, 26505, 454, 297, 1872, 754, 6189, 15225, 6237, 7648, 543, 3604, 538, 2511, 2066, 2342, 269, 769, 19934, 267, 585, 1383, 267, 519, 2511, 2919, 883, 513, 811, 15568, 543, 17715, 1106, 267, 1634, 607, 32068, 3203, 715, 537, 557, 879, 269, 901, 8390, 15091, 13576, 3515, 267, 6946, 4401, 1740, 267, 543, 519, 5610, 540, 16560, 2609, 883, 519, 2679, 779, 2497, 269, 769, 4334, 267, 519, 4436, 808, 1872, 754, 560, 559, 2511, 7604, 1078, 811, 16070, 267, 12166, 3029, 6766, 676, 519, 8551, 543, 27207, 3350, 269, 1452, 7648, 6542, 875, 1114, 2686, 543, 7499, 7506, 8032, 808, 1872, 754, 6189, 543, 8329, 547, 922, 3309, 7215, 563, 23208, 5811, 540, 519, 22436, 543, 32539, 540, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 779, 5499, 543, 22192, 2470, 4547, 1312, 5383, 543, 11393, 269, 634, 3350, 779, 8561, 593, 10128, 1148, 883, 6189, 3366, 547, 519, 5137, 540, 11617, 10875, 543, 15520, 1713, 5656, 269, 808, 1872, 754, 560, 559, 849, 8329, 547, 519, 1646, 540, 513, 811, 11455, 1935, 547, 4683, 4058, 267, 26724, 519, 25465, 540, 3039, 5624, 543, 2067, 2609, 585, 519, 4324, 540, 519, 2146, 269, 1717, 267, 808, 1872, 754, 6189, 779, 6946, 24223, 543, 15022, 622, 6272, 2838, 9952, 23477, 267, 1818, 621, 811, 7199, 543, 1447, 3015, 547, 519, 13999, 269, 3958, 267, 519, 3350, 779, 22576, 689, 2757, 11265, 8155, 5185, 9880, 689, 2757, 1235, 267, 945, 11130, 602, 808, 1872, 754, 560, 559, 3922, 1242, 1106, 936, 1599, 563, 297, 1872, 754, 6189, 267, 606, 7533, 851, 540, 519, 3203, 715, 537, 557, 879, 3350, 267, 19117, 11265, 2853, 538, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 269, 1635, 8508, 15022, 622, 15312, 267, 519, 5610, 540, 1148, 543, 23477, 267, 543, 513, 1445, 593, 519, 1367, 267, 808, 1872, 754, 6189, 2813, 513, 9434, 9371, 269, 3414, 513, 3102, 7650, 540, 808, 1872, 754, 6189, 267, 713, 2376, 814, 8268, 519, 2511, 779, 4162, 267, 2442, 1806, 267, 11050, 7403, 267, 7648, 267, 543, 3140, 2079, 269, 1635, 18167, 883, 891, 3344, 267, 621, 568, 10423, 602, 808, 1872, 754, 6189, 5170, 547, 8300, 543, 25407, 2043, 609, 922, 2189, 11100, 540, 26274, 543, 10342, 563, 1700, 23453, 4143, 8100, 269, 0, 11900, 2074, 689, 4515, 269, 3220, 15576, 773, 700, 1515, 323, 779, 1382, 593, 7303, 6771, 540, 3782, 14092, 638, 1600, 5563, 454, 4407, 1082, 6080, 5185, 13778, 17522, 1813, 547, 519, 2518, 6855, 267, 519, 3782, 2872, 568, 19918, 4299, 267, 2016, 519, 2470, 540, 519, 6433, 269, 16743, 543, 2208, 991, 547, 3136, 796, 629, 730, 547, 16491, 519, 2413, 3782, 1949, 547, 4473, 547, 519, 2591, 4843, 676, 5046, 268, 866, 543, 519, 2804, 2887, 719, 689, 922, 3262, 269, 1284, 18799, 4515, 269, 3220, 15576, 773, 700, 1515, 323, 267, 7905, 540, 31814, 538, 519, 3427, 540, 14997, 2329, 543, 10361, 540, 519, 29956, 8376, 3194, 6828, 693, 1546, 8053, 3228, 2160, 267, 693, 519, 5993, 16195, 2743, 476, 1708, 273, 538, 670, 1564, 1074, 328, 563, 15463, 1382, 568, 1298, 1042, 593, 7303, 6771, 540, 3782, 14092, 638, 1600, 5563, 267, 1519, 3384, 3209, 17059, 15412, 10118, 269, 589, 1880, 1445, 540, 4515, 700, 1515, 323, 779, 1382, 568, 593, 519, 1909, 540, 3782, 20955, 607, 535, 558, 2572, 267, 543, 5063, 1200, 1382, 8561, 814, 1044, 593, 519, 1761, 6771, 540, 11452, 3842, 20955, 563, 1432, 568, 519, 2956, 540, 3782, 20955, 538, 3461, 3106, 888, 10890, 1416, 20955, 666, 4163, 14471, 269, 1717, 267, 952, 789, 2461, 14013, 561, 16184, 1229, 267, 789, 2461, 4625, 2922, 269, 1924, 1483, 12264, 267, 649, 991, 547, 2327, 602, 782, 1072, 1416, 543, 20955, 616, 561, 16184, 1229, 267, 9738, 1134, 267, 543, 23679, 4853, 569, 561, 16184, 1229, 1317, 621, 3217, 856, 2188, 540, 7180, 689, 2043, 269, 1403, 621, 4422, 998, 4853, 561, 879, 837, 532, 267, 621, 568, 513, 16798, 16913, 1184, 269, 2657, 1416, 20955, 666, 849, 1404, 513, 1909, 538, 623, 14154, 607, 1134, 267, 865, 1114, 2010, 540, 20955, 666, 581, 1031, 585, 623, 14154, 563, 1432, 1909, 798, 3782, 26977, 1404, 538, 519, 5832, 540, 3968, 6771, 888, 2026, 594, 5018, 267, 938, 1382, 814, 3254, 602, 3782, 20955, 4163, 14471, 543, 666, 4483, 547, 824, 7252, 269, 769, 519, 2013, 540, 11452, 267, 649, 6743, 693, 5068, 7252, 267, 543, 649, 4076, 6743, 693, 16243, 5374, 7252, 689, 16463, 338, 267, 585, 3236, 267, 585, 9190, 12526, 269, 1656, 649, 4076, 849, 3254, 4483, 547, 824, 7252, 1312, 1354, 543, 1282, 519, 11547, 563, 3383, 267, 789, 5732, 723, 513, 1909, 538, 519, 6771, 540, 14471, 269, 1717, 267, 972, 779, 1044, 1100, 1463, 3095, 1063, 20955, 543, 513, 3461, 2348, 606, 3968, 547, 4266, 269, 2334, 1767, 267, 6413, 4507, 899, 519, 2048, 629, 913, 519, 23969, 685, 3609, 2327, 602, 519, 20955, 616, 711, 538, 2673, 3346, 609, 519, 2550, 563, 1432, 616, 519, 1761, 4220, 543, 10220, 2152, 609, 519, 6469, 561, 879, 837, 532, 540, 3782, 26977, 888, 301, 2720, 525, 29143, 1227, 11547, 741, 26977, 538, 519, 5177, 267, 2694, 540, 519, 2475, 267, 543, 519, 6243, 540, 8581, 269, 30052, 267, 602, 6770, 538, 24040, 3604, 543, 1702, 3604, 1063, 519, 11923, 269, 3776, 1382, 4951, 1394, 538, 476, 1001, 276, 267, 585, 3236, 267, 602, 513, 2362, 5354, 267, 2161, 1472, 476, 5325, 9077, 540, 11923, 941, 11067, 2630, 519, 5227, 476, 2568, 24266, 11547, 269, 1717, 267, 1282, 519, 6855, 267, 713, 3648, 8519, 563, 2467, 941, 1152, 1472, 476, 1704, 260, 602, 941, 711, 8209, 1739, 4808, 267, 855, 972, 616, 1114, 2152, 602, 2097, 883, 1404, 607, 1134, 269, 1280, 3236, 267, 798, 1004, 946, 513, 4028, 11547, 693, 476, 2568, 5232, 267, 799, 649, 4076, 3254, 3085, 1406, 2965, 3914, 2837, 543, 3085, 1406, 8209, 632, 4186, 3133, 622, 519, 20955, 286, 1548, 2010, 540, 28052, 757, 616, 789, 1210, 286, 769, 519, 4452, 267, 616, 972, 824, 23157, 519, 14471, 949, 3444, 3468, 888, 3383, 972, 616, 1082, 1114, 6724, 269, 1656, 585, 3236, 267, 950, 519, 11923, 616, 9849, 741, 7833, 267, 543, 621, 779, 13572, 267, 543, 789, 979, 883, 519, 1286, 610, 519, 6469, 1604, 267, 568, 972, 1022, 4483, 1282, 602, 1974, 286, 1924, 950, 649, 2911, 827, 4853, 27445, 267, 602, 779, 1360, 1454, 16913, 267, 543, 972, 616, 4441, 538, 1747, 547, 2327, 602, 1346, 3968, 1852, 5773, 616, 972, 563, 8923, 2671, 930, 4681, 689, 707, 1382, 593, 519, 6668, 540, 11452, 593, 20955, 563, 2171, 6743, 693, 11452, 593, 20955, 267, 543, 938, 19274, 6331, 626, 267, 3220, 631, 7159, 9445, 328, 1744, 643, 330, 20783, 267, 1185, 547, 1305, 909, 513, 2203, 585, 16568, 17336, 268, 273, 267, 799, 568, 1572, 32726, 6246, 269, 1284, 1185, 547, 2327, 602, 713, 2203, 31136, 13974, 547, 16568, 17336, 268, 273, 269, 1924, 2899, 602, 2203, 729, 1305, 909, 267, 649, 1223, 1376, 3168, 693, 519, 12526, 540, 20955, 543, 875, 547, 632, 4186, 3133, 622, 873, 563, 763, 1382, 4951, 602, 11452, 1223, 7639, 593, 4874, 6856, 26939, 585, 909, 547, 476, 7761, 3108, 267, 6466, 10412, 729, 1472, 476, 2190, 3108, 543, 4874, 322, 9051, 729, 476, 277, 3108, 269, 1284, 3494, 972, 729, 930, 1761, 27179, 9096, 593, 602, 4874, 322, 9051, 269, 898, 729, 1175, 519, 3339, 18138, 1184, 269, 1284, 3964, 602, 519, 11452, 1223, 2063, 593, 20955, 585, 1896, 3108, 267, 952, 711, 2395, 563, 2171, 1287, 6743, 693, 922, 1761, 547, 3444, 9762, 3133, 622, 543, 1336, 602, 621, 1223, 3444, 9762, 3133, 622, 1312, 5196, 2182, 7252, 899, 5068, 543, 824, 24338, 7252, 899, 20955, 1369, 602, 1974, 540, 942, 607, 1134, 269, 1284, 849, 6743, 693, 922, 6668, 1282, 519, 11547, 1184, 269, 769, 519, 11547, 1184, 267, 649, 1336, 2539, 5210, 982, 649, 4076, 2938, 609, 4551, 267, 865, 476, 2412, 5232, 2864, 982, 476, 2568, 5232, 729, 2111, 547, 4894, 519, 3644, 689, 519, 20955, 563, 2171, 7152, 602, 621, 1223, 581, 11593, 6569, 538, 513, 6469, 3684, 267, 606, 4853, 3684, 610, 606, 593, 1790, 8145, 2478, 27445, 269, 2060, 11452, 267, 519, 1981, 2731, 1212, 10134, 538, 693, 519, 1448, 1063, 519, 20758, 543, 519, 729, 615, 267, 543, 602, 779, 1141, 519, 3444, 9762, 8727, 4220, 616, 563, 31549, 519, 6855, 4957, 3782, 4600, 685, 7180, 2509, 7833, 561, 879, 837, 532, 4507, 888, 296, 3494, 865, 269, 769, 476, 1001, 276, 267, 950, 649, 23500, 11923, 267, 649, 1336, 602, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3684, 610, 804, 18804, 540, 519, 14859, 267, 782, 12204, 540, 1919, 780, 1103, 938, 2013, 267, 649, 616, 3478, 7648, 538, 891, 11236, 269, 634, 2014, 540, 519, 8390, 3884, 1406, 519, 24373, 540, 6191, 610, 561, 18804, 540, 23739, 14859, 282, 621, 568, 3604, 538, 875, 1004, 1589, 269, 1879, 649, 1589, 827, 713, 8390, 538, 519, 16762, 2796, 267, 649, 616, 2469, 547, 1289, 621, 4763, 540, 11236, 1317, 602, 779, 1018, 621, 568, 269, 898, 568, 3604, 538, 875, 1004, 3589, 269, 5457, 538, 938, 2013, 267, 1004, 779, 3328, 12605, 729, 476, 1556, 780, 9596, 811, 827, 875, 5042, 4763, 543, 3961, 4763, 8428, 692, 1432, 649, 666, 798, 568, 649, 666, 4137, 856, 1018, 538, 930, 2631, 568, 519, 4763, 540, 1346, 11236, 286, 11088, 267, 1577, 779, 798, 930, 2241, 2979, 269, 25138, 779, 12605, 729, 476, 1321, 543, 519, 15624, 779, 12605, 729, 476, 1556, 865, 649, 666, 2161, 25138, 779, 9295, 547, 4763, 568, 630, 1321, 6567, 476, 1556, 264, 273, 267, 865, 602, 779, 835, 269, 5617, 548, 779, 9295, 547, 4763, 568, 630, 277, 6567, 476, 1556, 264, 273, 267, 865, 602, 779, 6567, 7367, 267, 799, 568, 476, 1839, 269, 1656, 24883, 685, 9295, 547, 4763, 568, 630, 1428, 6567, 476, 1556, 264, 273, 267, 799, 568, 476, 5655, 267, 799, 568, 476, 1626, 780, 3849, 4765, 909, 267, 649, 1205, 476, 5655, 269, 1879, 594, 1287, 7941, 602, 676, 1614, 267, 649, 1205, 602, 593, 3328, 267, 1004, 616, 1055, 676, 476, 1691, 269, 1284, 666, 1289, 713, 476, 1691, 519, 4763, 540, 519, 11236, 1317, 713, 568, 875, 1114, 1004, 616, 538, 519, 11236, 602, 789, 1118, 780, 763, 15624, 779, 16302, 5470, 11224, 519, 3328, 1367, 16302, 5470, 14263, 519, 4763, 540, 519, 11236, 269, 901, 666, 581, 1572, 519, 4763, 12605, 11532, 780, 4131, 779, 1413, 693, 891, 1614, 2338, 602, 649, 723, 7229, 269, 1924, 2484, 649, 723, 7229, 519, 3328, 1367, 16302, 5470, 282, 602, 779, 476, 1428, 267, 865, 602, 779, 593, 3328, 875, 2484, 1055, 1004, 779, 9193, 723, 1044, 269, 1284, 723, 7229, 519, 4763, 540, 519, 11236, 630, 7474, 779, 476, 1691, 264, 543, 1287, 649, 723, 7229, 519, 15624, 779, 16302, 5470, 630, 7474, 779, 476, 272, 1040, 1684, 596, 5469, 4376, 286, 2334, 779, 2953, 281, 634, 15624, 779, 16302, 5470, 11224, 519, 3328, 1367, 16302, 5470, 14263, 519, 4763, 540, 519, 11236, 269, 901, 666, 581, 1572, 519, 4763, 12605, 11532, 780, 1607, 4523, 711, 1152, 538, 713, 1383, 282, 621, 568, 3020, 538, 1169, 1383, 269, 898, 568, 513, 6310, 3961, 267, 899, 519, 25355, 11532, 269, 5457, 267, 952, 596, 1491, 1022, 1318, 6906, 267, 519, 30494, 16302, 11224, 519, 2040, 540, 519, 10945, 540, 519, 1079, 5011, 269, 901, 568, 519, 1482, 3364, 269, 634, 4763, 12605, 11532, 568, 899, 519, 25355, 11532, 538, 519, 1482, 1259, 281, 898, 779, 2141, 3020, 780, 9596, 811, 827, 875, 519, 10206, 540, 4763, 568, 4657, 692, 2162, 22388, 842, 30698, 20603, 540, 16844, 692, 3086, 267, 713, 568, 513, 2731, 1271, 1267, 543, 621, 568, 4831, 842, 30698, 269, 1548, 621, 6645, 721, 568, 519, 15624, 779, 2702, 5673, 538, 3160, 2268, 593, 2702, 630, 7474, 779, 519, 3328, 1367, 5470, 264, 543, 593, 4763, 269, 898, 568, 865, 1271, 1765, 810, 3844, 543, 849, 4831, 842, 30698, 780, 4131, 779, 1589, 585, 513, 8792, 875, 16662, 30698, 713, 568, 1317, 594, 4280, 1018, 1131, 1118, 519, 15624, 21273, 269, 1411, 1522, 723, 1767, 1134, 621, 568, 2348, 5100, 1004, 543, 602, 779, 9676, 538, 3328, 5470, 267, 855, 621, 568, 849, 4763, 269, 1284, 616, 2469, 547, 1294, 602, 4763, 6927, 269, 634, 4277, 3364, 1934, 568, 4763, 6927, 1175, 607, 1454, 607, 2702, 282, 621, 6927, 1175, 607, 1454, 607, 606, 3328, 5470, 269, 1280, 1082, 540, 519, 2093, 649, 1865, 267, 594, 993, 2469, 547, 1175, 2307, 596, 547, 1491, 873, 593, 5132, 780, 763, 7326, 540, 24921, 1765, 2421, 602, 594, 1611, 519, 2702, 540, 24921, 547, 1118, 4977, 7104, 11236, 1765, 24119, 1742, 538, 3160, 2268, 593, 519, 15624, 779, 2702, 630, 26132, 30714, 1367, 16302, 5470, 264, 543, 593, 519, 4763, 540, 741, 11236, 780, 4131, 803, 2285, 596, 513, 2731, 4277, 1351, 3326, 776, 1934, 543, 602, 779, 713, 269, 634, 15624, 5470, 814, 547, 581, 1447, 982, 519, 3328, 1367, 5470, 269, 769, 1250, 6169, 267, 594, 1185, 519, 15624, 5470, 11224, 519, 3328, 5470, 14263, 4763, 269, 4270, 952, 621, 11224, 3328, 5470, 14263, 4763, 267, 952, 4763, 568, 2318, 693, 782, 267, 519, 15624, 5470, 814, 547, 581, 1447, 982, 519, 3328, 5470, 269, 2334, 1797, 952, 972, 568, 1022, 4763, 538, 519, 4055, 538, 1022, 1259, 267, 1287, 519, 15624, 568, 2469, 547, 581, 1732, 982, 519, 3328, 1268, 538, 621, 1317, 621, 568, 1175, 513, 6310, 1249, 269, 2334, 779, 606, 4277, 3364, 602, 5205, 689, 1018, 649, 1336, 780, 763, 6101, 2012, 594, 946, 568, 1572, 519, 15624, 20054, 519, 3328, 1876, 269, 898, 779, 2731, 2653, 547, 1294, 1946, 621, 568, 3020, 269, 6969, 594, 1847, 593, 547, 513, 2656, 1351, 3326, 776, 267, 1934, 568, 513, 2034, 1292, 1267, 269, 1403, 519, 15624, 16302, 5470, 11224, 519, 3328, 1367, 5470, 14263, 519, 4763, 540, 741, 11236, 267, 1287, 519, 1739, 849, 814, 547, 581, 3020, 269, 1403, 519, 15624, 1185, 1022, 4763, 693, 782, 538, 922, 11236, 267, 1287, 519, 15624, 779, 5470, 568, 14553, 1447, 982, 519, 3328, 16302, 5470, 540, 519, 1004, 538, 519, 15624, 269, 769, 824, 1913, 267, 519, 15624, 568, 1732, 982, 519, 3328, 1268, 538, 621, 269, 594, 1289, 713, 519, 15624, 20054, 519, 3328, 1876, 269, 898, 568, 2731, 2653, 547, 1294, 1946, 621, 568, 3020, 269, 634, 15624, 779, 5470, 568, 519, 3328, 1367, 5470, 14263, 519, 4763, 269, 1403, 519, 15624, 779, 3893, 2318, 4763, 693, 782, 1287, 519, 15624, 779, 5470, 814, 547, 581, 4130, 982, 519, 3328, 1367, 5470, 269, 18844, 1091, 616, 1732, 982, 519, 1004, 538, 873, 267, 693, 2547, 593, 3328, 780, 2026, 519, 4763, 12605, 11532, 568, 513, 6310, 1249, 267, 621, 568, 3893, 547, 581, 3020, 538, 1169, 2582, 2013, 267, 543, 621, 568, 269, 898, 568, 3893, 547, 581, 3020, 538, 8895, 2023, 779, 1239, 865, 1577, 779, 2638, 269, 1403, 649, 1491, 1010, 1239, 267, 649, 1205, 602, 519, 15624, 779, 16302, 5470, 11224, 476, 271, 269, 277, 269, 634, 3328, 1367, 16302, 5470, 267, 538, 602, 2013, 267, 729, 476, 273, 267, 4817, 277, 269, 27016, 513, 8792, 267, 602, 779, 5458, 256, 634, 10800, 1152, 26693, 476, 272, 267, 5611, 6550, 875, 1223, 519, 5470, 581, 476, 273, 267, 4817, 277, 286, 5457, 267, 713, 568, 519, 16302, 5470, 269, 1403, 649, 1491, 519, 4009, 3597, 540, 602, 1297, 267, 649, 1205, 476, 7918, 269, 275, 267, 476, 4649, 6550, 269, 2334, 3884, 1406, 3983, 269, 595, 4490, 9260, 827, 2947, 2053, 519, 2450, 540, 1004, 269, 1284, 666, 7058, 519, 2597, 540, 513, 1268, 1369, 827, 476, 1015, 6550, 865, 476, 2004, 6550, 3884, 1406, 602, 2484, 1055, 269, 27016, 513, 8792, 267, 952, 519, 15624, 729, 1055, 676, 476, 271, 269, 277, 543, 1004, 616, 1055, 676, 476, 273, 267, 280, 4649, 267, 1287, 972, 1590, 723, 1044, 513, 2603, 540, 4763, 269, 769, 1249, 267, 972, 729, 269, 634, 4763, 729, 476, 273, 267, 4817, 275, 269, 275, 269, 2334, 779, 875, 15624, 5470, 666, 3160, 3328, 5470, 14263, 519, 4763, 780, 2162, 5565, 18467, 547, 27336, 633, 693, 513, 29216, 18844, 323, 692, 2252, 596, 1616, 513, 8797, 15624, 267, 713, 5267, 649, 723, 1079, 3681, 269, 1284, 1223, 1265, 13085, 1004, 945, 782, 917, 519, 2626, 865, 1287, 519, 1367, 5470, 1131, 581, 4642, 267, 15624, 5470, 1131, 581, 4642, 267, 543, 4763, 1131, 581, 4642, 282, 610, 649, 666, 1265, 513, 19619, 540, 9425, 5100, 1004, 945, 723, 9793, 6959, 267, 945, 4755, 547, 581, 3309, 267, 865, 596, 849, 1205, 9793, 4763, 269, 1403, 596, 1491, 1022, 1383, 689, 835, 540, 891, 2835, 593, 8797, 24921, 267, 971, 607, 2672, 992, 773, 1188, 328, 779, 1433, 31539, 21297, 21167, 27378, 733, 3949, 267, 12418, 2597, 27378, 267, 547, 17782, 519, 715, 14566, 8908, 32503, 616, 2469, 547, 1294, 621, 568, 3592, 2141, 519, 2013, 602, 621, 5654, 899, 8895, 2023, 779, 1239, 1141, 596, 1294, 513, 8797, 15624, 267, 1317, 596, 723, 26815, 4977, 1004, 945, 4755, 547, 581, 3309, 780, 4131, 779, 1294, 1946, 713, 1568, 269, 3371, 568, 1776, 1259, 547, 1589, 540, 621, 269, 1284, 723, 713, 3830, 281, 18844, 323, 5470, 11224, 3328, 5470, 14263, 4763, 269, 1215, 798, 649, 1205, 513, 1507, 15624, 5470, 286, 2913, 779, 1589, 540, 621, 713, 1259, 269, 898, 2141, 5654, 899, 1507, 11224, 2462, 14263, 2462, 269, 901, 568, 1018, 649, 1294, 538, 891, 2835, 269, 4208, 568, 602, 519, 2013, 2496, 2162, 634, 27067, 540, 18844, 1091, 692, 4131, 779, 1589, 827, 621, 269, 1215, 1281, 621, 1118, 513, 1433, 1572, 1109, 763, 27067, 540, 18844, 1091, 286, 634, 1152, 1259, 621, 666, 1118, 1109, 763, 27067, 540, 18844, 1091, 28812, 952, 519, 15624, 5470, 568, 1507, 267, 952, 1004, 1810, 1406, 1118, 9073, 269, 1280, 621, 547, 1118, 1109, 763, 27067, 540, 18844, 1091, 1109, 24014, 267, 596, 991, 513, 1507, 15624, 5470, 269, 1548, 849, 814, 547, 581, 3020, 585, 621, 547, 1118, 1109, 763, 27067, 540, 18844, 1091, 286, 4270, 267, 621, 814, 547, 581, 519, 2013, 602, 519, 3328, 5470, 568, 7168, 2462, 1317, 952, 519, 3328, 5470, 729, 711, 2462, 602, 1131, 1611, 602, 16764, 666, 1205, 621, 1318, 543, 621, 9327, 1406, 581, 9670, 1317, 649, 1223, 1175, 10416, 2161, 713, 729, 606, 2653, 2243, 780, 2252, 596, 1118, 513, 1433, 899, 1109, 763, 27067, 540, 18844, 1091, 267, 1109, 9767, 723, 547, 723, 513, 1507, 15624, 5470, 269, 1411, 723, 547, 723, 513, 2462, 3328, 5470, 269, 2871, 612, 1018, 256, 898, 814, 547, 581, 519, 2013, 602, 4763, 568, 849, 2462, 9789, 1152, 1806, 602, 1118, 519, 2835, 827, 8797, 24921, 1413, 899, 713, 269, 1411, 723, 1164, 3328, 1367, 5470, 543, 1164, 4763, 269, 4475, 267, 596, 723, 1109, 763, 27067, 540, 18844, 1091, 1109, 30161, 7134, 676, 4763, 538, 1034, 2665, 780, 4131, 779, 1589, 827, 713, 20932, 585, 513, 2034, 269, 1879, 3257, 519, 2979, 267, 649, 666, 1294, 875, 1142, 1899, 5205, 689, 519, 1985, 267, 855, 602, 1281, 711, 1611, 649, 8209, 16022, 569, 1174, 1946, 713, 4763, 12605, 11532, 1568, 780, 4131, 779, 979, 1394, 543, 1413, 693, 1776, 1383, 540, 1946, 4763, 6927, 865, 1454, 269, 2913, 779, 1413, 693, 476, 1911, 1004, 27378, 519, 2597, 540, 513, 27464, 269, 14597, 602, 1142, 1268, 568, 1055, 676, 4010, 476, 736, 6550, 269, 1403, 1142, 1268, 568, 1055, 676, 4010, 476, 736, 6550, 1287, 1018, 649, 616, 2469, 547, 1205, 568, 606, 3328, 5470, 540, 476, 6110, 269, 2913, 779, 1101, 15475, 972, 568, 1100, 16762, 4763, 865, 16764, 7058, 525, 476, 736, 6550, 1932, 1164, 269, 2334, 1797, 519, 4763, 568, 2469, 547, 581, 4642, 267, 799, 1797, 519, 15624, 5470, 568, 2469, 547, 581, 476, 6110, 607, 1134, 780, 1432, 649, 1205, 568, 602, 649, 1810, 1406, 1205, 513, 8797, 15624, 269, 634, 15624, 568, 1100, 1732, 982, 519, 3328, 1004, 538, 621, 1317, 519, 4763, 568, 3927, 4642, 269, 2913, 779, 15475, 3079, 602, 1004, 616, 1055, 676, 606, 3328, 540, 476, 736, 267, 855, 1631, 649, 723, 513, 2603, 540, 4763, 267, 865, 3368, 519, 1004, 616, 476, 736, 1932, 1164, 543, 3368, 519, 1004, 616, 476, 736, 1932, 1970, 269, 2334, 779, 2469, 547, 1611, 602, 519, 4763, 568, 849, 476, 6110, 780, 2252, 519, 4763, 568, 476, 6110, 543, 519, 3328, 1367, 5470, 568, 476, 6110, 267, 1018, 649, 616, 2469, 547, 1205, 568, 513, 15624, 5470, 540, 4642, 269, 1284, 1205, 476, 271, 815, 476, 6110, 6567, 476, 6110, 269, 3371, 568, 1018, 568, 4277, 269, 1403, 649, 5635, 2013, 835, 547, 2013, 1079, 267, 649, 1294, 602, 519, 1004, 1705, 711, 1205, 1022, 21273, 267, 855, 519, 15624, 3893, 21273, 269, 1215, 1705, 519, 15624, 1205, 21273, 286, 898, 3893, 21273, 1317, 621, 3893, 811, 3309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4159, 5882, 623, 318, 2715, 271, 348, 1422, 538, 589, 21456, 21851, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 348, 1422, 3935, 966, 318, 2715, 288, 348, 1422, 547, 966, 318, 2715, 289, 9574, 1422, 22712, 11513, 936, 21375, 2715, 303, 318, 2715, 271, 348, 1627, 3686, 1422, 4786, 560, 334, 11513, 936, 21375, 2715, 325, 630, 303, 318, 2715, 271, 16585, 535, 630, 1627, 264, 3686, 21456, 529, 5276, 563, 1892, 1403, 543, 607, 1134, 607, 513, 5276, 11837, 616, 2016, 267, 972, 568, 4010, 835, 3413, 710, 11837, 609, 543, 1547, 21851, 4159, 5882, 623, 318, 2715, 271, 348, 1422, 538, 589, 6525, 3189, 4159, 5882, 1627, 318, 2715, 271, 348, 1422, 538, 645, 6525, 3189, 4159, 5882, 1422, 533, 19561, 1422, 3935, 966, 318, 2715, 288, 348, 1422, 547, 966, 318, 2715, 289, 24995, 3189, 4159, 5882, 535, 1422, 3935, 589, 1422, 547, 645, 6525, 3189, 4159, 5882, 535, 630, 303, 318, 2715, 271, 16585, 815, 1627, 318, 2715, 271, 24995, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 348, 815, 1422, 533, 19561, 21456, 1892, 1323, 3413, 710, 11837, 568, 1979, 11187, 952, 543, 1152, 952, 568, 1979, 11187, 269, 769, 713, 2013, 519, 11201, 11837, 568, 849, 3413, 710, 543, 621, 6585, 1547, 21851, 4159, 5882, 535, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 24995, 3189, 4159, 5882, 535, 9745, 2715, 268, 476, 272, 348, 1422, 3935, 645, 1422, 547, 589, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 9745, 2715, 268, 476, 272, 3686, 815, 22570, 15254, 12978, 9041, 2715, 325, 16585, 9745, 2715, 268, 476, 272, 3686, 14204, 1892, 1403, 972, 568, 1776, 3413, 710, 2230, 543, 616, 2073, 3413, 710, 267, 1287, 568, 849, 3413, 710, 543, 621, 6585, 1547, 21851, 4159, 5882, 630, 290, 267, 966, 318, 2715, 290, 16585, 6525, 3189, 4159, 5882, 535, 1422, 3935, 589, 1422, 547, 645, 6525, 3189, 4159, 5882, 575, 1422, 3935, 645, 1422, 547, 595, 6525, 3189, 4159, 5882, 575, 1422, 2235, 535, 1422, 3935, 589, 1422, 547, 595, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 326, 1422, 2235, 535, 348, 815, 1422, 15254, 12978, 9041, 2715, 326, 348, 1422, 2235, 1422, 15254, 12978, 9041, 2715, 325, 32556, 1012, 3213, 15453, 6041, 692, 1607, 3296, 9388, 609, 3413, 710, 544, 1952, 902, 1063, 13113, 8820, 3413, 710, 5624, 780, 2162, 10500, 710, 10974, 692, 2252, 606, 3413, 710, 11282, 1062, 814, 1044, 18385, 5697, 1312, 538, 519, 3312, 3239, 2230, 543, 538, 519, 3239, 2230, 2073, 606, 3413, 710, 11837, 568, 7768, 540, 513, 5276, 7004, 543, 513, 6252, 6521, 609, 2463, 547, 713, 11282, 1062, 1547, 634, 5276, 7004, 666, 1287, 581, 2854, 607, 513, 5119, 268, 19066, 1587, 543, 519, 3413, 710, 7004, 2164, 689, 519, 5119, 630, 1492, 11837, 5119, 3738, 543, 519, 12761, 6152, 2433, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 24995, 3189, 4159, 5882, 535, 4151, 12276, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 10592, 21851, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 815, 589, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 3686, 1341, 11513, 1654, 322, 2715, 339, 3686, 10592, 763, 11282, 10321, 543, 616, 6241, 10321, 538, 713, 10035, 543, 1683, 519, 3413, 710, 10974, 540, 519, 2990, 10321, 540, 513, 18634, 1448, 610, 606, 3239, 1448, 269, 634, 1297, 540, 9343, 540, 519, 5119, 568, 3160, 547, 519, 10155, 540, 519, 2230, 538, 799, 568, 3254, 630, 9792, 540, 2418, 1070, 519, 1297, 540, 922, 9587, 568, 3160, 547, 519, 10155, 540, 519, 13269, 2230, 1547, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 6525, 3189, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 6525, 3189, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 32556, 763, 10155, 540, 519, 3239, 2230, 540, 519, 3413, 710, 11837, 568, 3160, 547, 519, 7584, 540, 519, 11837, 5119, 1547, 12276, 4159, 5882, 535, 630, 3189, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 16585, 6525, 3189, 4159, 5882, 589, 10592, 1103, 519, 2013, 540, 606, 3413, 710, 1582, 2173, 6260, 540, 606, 3413, 710, 2230, 267, 1152, 835, 3413, 710, 11282, 1062, 568, 5697, 267, 519, 11282, 10321, 543, 3976, 9305, 547, 519, 1482, 11282, 1062, 267, 519, 11837, 5119, 568, 4009, 267, 1775, 4318, 269, 670, 269, 519, 1297, 540, 9343, 543, 9587, 568, 519, 1482, 269, 769, 713, 2796, 267, 621, 568, 1455, 547, 2697, 519, 3413, 710, 2230, 609, 519, 2404, 6152, 2230, 540, 519, 771, 2897, 906, 269, 769, 713, 2631, 267, 519, 3413, 710, 1582, 21553, 1137, 1331, 782, 5276, 7851, 630, 5976, 16532, 543, 7110, 873, 609, 513, 8144, 5057, 269, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 6525, 3189, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 6525, 3189, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 815, 476, 271, 10592, 2304, 3413, 710, 1582, 2173, 6260, 568, 606, 25505, 952, 543, 1152, 952, 519, 24572, 540, 519, 11837, 5119, 568, 711, 3160, 547, 476, 271, 269, 12276, 4159, 5882, 589, 10592, 2162, 13067, 15119, 10974, 543, 6905, 11837, 5119, 692, 2252, 24267, 3413, 710, 10974, 616, 5697, 585, 519, 6041, 1312, 538, 519, 3312, 3239, 2230, 543, 538, 519, 3239, 2230, 2073, 1287, 519, 12761, 6152, 666, 581, 5916, 609, 519, 11837, 5119, 547, 1106, 606, 6905, 11837, 5119, 2433, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 22288, 12276, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 6525, 3189, 4159, 5882, 589, 4151, 12276, 4159, 5882, 589, 9041, 11513, 2979, 3944, 2715, 10339, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 10592, 21851, 4159, 5882, 589, 9041, 11513, 2979, 3944, 2715, 518, 342, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 815, 11513, 2253, 2715, 335, 9795, 348, 589, 1299, 11513, 1654, 322, 2715, 339, 3686, 8607, 11513, 1654, 322, 2715, 334, 3686, 9745, 11513, 267, 570, 348, 1299, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 267, 4151, 3602, 519, 1098, 12723, 4642, 6152, 568, 538, 519, 6152, 2230, 602, 12851, 547, 269, 21851, 4159, 5882, 11513, 1654, 322, 2715, 334, 3686, 9745, 11513, 267, 570, 22288, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 32556, 763, 11837, 3830, 1287, 14509, 585, 24267, 11282, 10321, 692, 21851, 4159, 5882, 535, 318, 2715, 327, 348, 630, 3189, 1654, 322, 2715, 343, 318, 2715, 327, 3686, 16585, 815, 589, 9041, 11513, 2979, 3944, 2715, 10339, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 318, 2715, 327, 3686, 31998, 16859, 1103, 713, 6041, 540, 519, 6905, 5119, 267, 606, 3606, 11282, 568, 3773, 547, 519, 6241, 6152, 607, 513, 4630, 4094, 1944, 11282, 2433, 12276, 4159, 5882, 1535, 318, 2715, 333, 1341, 476, 272, 24995, 3189, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 10592, 21851, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 327, 348, 815, 11513, 2253, 2715, 335, 9795, 348, 11513, 1654, 322, 2715, 343, 3686, 8607, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 31859, 1607, 6041, 998, 24267, 10974, 666, 581, 14648, 607, 606, 32750, 540, 519, 3413, 710, 2230, 538, 513, 1788, 633, 2230, 540, 519, 1482, 10155, 269, 3973, 519, 24267, 10974, 616, 547, 581, 6956, 607, 1788, 633, 10974, 16317, 1012, 19032, 540, 7077, 3413, 514, 885, 692, 288, 742, 514, 885, 616, 3622, 21630, 2687, 547, 875, 1082, 6378, 2798, 789, 723, 269, 901, 849, 10039, 952, 519, 3413, 710, 2230, 814, 811, 982, 1079, 7516, 269, 589, 1448, 568, 513, 6378, 1448, 952, 621, 568, 25528, 5196, 3294, 998, 25505, 269, 769, 519, 11282, 6041, 596, 666, 3313, 519, 11282, 6152, 540, 513, 6378, 1448, 676, 6061, 519, 1062, 540, 4834, 1547, 8074, 602, 6378, 2798, 666, 849, 2291, 256, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 24995, 3189, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 348, 910, 288, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 348, 815, 11513, 1654, 322, 2715, 339, 3686, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 1422, 683, 336, 476, 271, 10592, 272, 269, 31196, 25505, 281, 589, 7077, 25505, 538, 799, 4010, 835, 2786, 1899, 3788, 6378, 1448, 676, 1448, 267, 621, 568, 1572, 519, 7852, 540, 25505, 269, 1452, 1331, 19852, 2073, 15497, 8272, 337, 1681, 630, 18034, 7299, 7852, 8272, 337, 1681, 264, 543, 6252, 15198, 563, 273, 269, 10500, 6541, 609, 513, 4099, 630, 3844, 25505, 476, 2567, 606, 25505, 538, 799, 4010, 835, 1448, 3788, 6378, 267, 519, 4099, 540, 519, 25505, 269, 1452, 1331, 519, 10047, 10137, 630, 5976, 519, 2027, 2665, 1298, 878, 10137, 267, 10047, 543, 1448, 8086, 1070, 519, 19852, 10137, 543, 519, 25586, 25505, 269, 21851, 4159, 5882, 2098, 21456, 274, 269, 10500, 514, 885, 1510, 513, 6378, 1448, 281, 1452, 616, 519, 6986, 771, 2897, 906, 543, 20422, 4291, 1903, 540, 606, 7852, 25505, 543, 513, 12761, 630, 9917, 541, 609, 12761, 538, 513, 4287, 1114, 689, 519, 7852, 4287, 610, 6252, 15198, 1315, 21933, 1664, 8086, 609, 513, 12761, 538, 519, 4287, 540, 519, 7852, 6393, 763, 8760, 568, 4843, 538, 811, 1469, 543, 20902, 547, 2362, 7516, 538, 519, 1292, 2376, 10500, 6541, 630, 12385, 24136, 264, 16317, 2162, 16453, 1106, 540, 519, 11282, 6041, 585, 7077, 3413, 514, 885, 692, 288, 7077, 25505, 568, 4547, 547, 3339, 1106, 676, 7446, 513, 5078, 3413, 710, 1448, 3490, 585, 922, 11282, 6041, 269, 1280, 713, 3483, 267, 16382, 2009, 267, 519, 5169, 540, 519, 11282, 1062, 568, 5116, 538, 513, 6378, 1448, 543, 519, 17887, 540, 519, 11282, 1062, 538, 519, 4287, 540, 6378, 3515, 1547, 634, 1739, 3339, 3029, 3180, 585, 3413, 514, 885, 538, 519, 1483, 3413, 710, 7077, 269, 769, 519, 2013, 540, 513, 6378, 1448, 6954, 25505, 267, 538, 1840, 547, 519, 11837, 5119, 2073, 513, 12761, 6152, 568, 2838, 547, 4766, 519, 25505, 269, 12276, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 1422, 683, 336, 476, 271, 10592, 272, 269, 31196, 3413, 514, 885, 630, 1492, 6378, 1448, 568, 519, 1101, 3490, 1448, 1985, 547, 519, 5169, 476, 2567, 12276, 4159, 5882, 744, 815, 661, 318, 2715, 271, 24995, 3189, 4159, 5882, 661, 318, 2715, 272, 3686, 14204, 272, 269, 2701, 541, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 272, 8607, 476, 271, 1299, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 21456, 273, 269, 744, 4565, 1664, 8272, 337, 1681, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 910, 272, 1422, 1439, 2715, 335, 9795, 3686, 21456, 274, 269, 23155, 15198, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 513, 1422, 1439, 2715, 335, 9795, 3686, 282, 1422, 22712, 513, 285, 476, 271, 21456, 273, 269, 6239, 3413, 514, 885, 630, 1492, 6378, 1448, 568, 519, 5169, 282, 519, 8846, 540, 519, 14802, 27523, 540, 519, 5119, 949, 581, 6074, 607, 11282, 17887, 1547, 264, 12276, 4159, 5882, 589, 21456, 272, 269, 15585, 776, 15198, 568, 519, 15198, 3815, 543, 519, 10047, 5086, 267, 21851, 4159, 5882, 589, 815, 678, 1422, 524, 25346, 11513, 2253, 2715, 335, 9795, 348, 1422, 5430, 22570, 15254, 12978, 264, 1299, 910, 1422, 5609, 22570, 15254, 12978, 264, 8607, 315, 5609, 22570, 15254, 12978, 264, 1299, 1422, 5430, 22570, 15254, 12978, 264, 1422, 1439, 2715, 335, 9795, 3686, 267, 1422, 22712, 6525, 3189, 4159, 5882, 1923, 678, 1923, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 21456, 273, 269, 2701, 541, 20436, 566, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 513, 1299, 476, 272, 8607, 476, 271, 1299, 513, 1422 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 3086, 3168, 811, 5702, 693, 519, 1964, 691, 2418, 681, 815, 2715, 274, 267, 476, 277, 267, 476, 1321, 267, 3267, 7684, 267, 630, 16694, 602, 519, 1964, 691, 2418, 616, 519, 3604, 3097, 24992, 519, 1964, 691, 2053, 267, 799, 19286, 919, 519, 5311, 570, 3799, 264, 3738, 649, 1294, 602, 519, 1964, 691, 2418, 2333, 2687, 547, 519, 3097, 613, 6248, 3126, 1384, 4449, 7386, 681, 3799, 264, 815, 476, 274, 16732, 273, 1262, 263, 333, 264, 13211, 4449, 7386, 562, 815, 476, 271, 267, 272, 267, 273, 267, 274, 267, 27250, 3086, 649, 786, 946, 519, 4341, 1871, 2999, 512, 630, 604, 1871, 815, 512, 267, 1287, 649, 616, 3274, 835, 1293, 2476, 689, 519, 1964, 691, 1871, 1070, 547, 454, 27463, 618, 519, 4831, 547, 519, 1985, 1964, 691, 1871, 269, 4495, 713, 2783, 14543, 630, 773, 269, 1871, 13843, 512, 1070, 1287, 649, 666, 2638, 3097, 1492, 1871, 676, 10203, 1524, 689, 519, 2063, 1964, 691, 1871, 1210, 519, 4341, 1384, 4449, 7386, 1130, 6025, 267, 562, 264, 815, 681, 3799, 264, 910, 630, 339, 910, 570, 3799, 264, 13211, 4449, 7386, 562, 815, 476, 271, 267, 272, 267, 273, 267, 274, 267, 27250, 901, 3762, 519, 1966, 540, 8159, 562, 267, 519, 1297, 540, 1964, 11301, 267, 607, 513, 1599, 540, 512, 269, 1284, 1223, 798, 713, 2555, 21154, 454, 630, 5408, 1554, 272, 23919, 1052, 6831, 3300, 318, 13440, 264, 855, 713, 568, 1939, 14260, 7199, 865, 3079, 649, 946, 513, 1247, 8520, 547, 17697, 569, 1293, 454, 519, 1297, 540, 1964, 11301, 607, 1279, 607, 1871, 2999, 512, 269, 901, 1247, 8520, 786, 2165, 3729, 607, 4166, 607, 1871, 3436, 512, 267, 693, 799, 1448, 649, 616, 454, 693, 519, 2063, 1964, 691, 942, 543, 519, 1297, 540, 23200, 540, 519, 1247, 8520, 568, 3160, 547, 562, 780, 8074, 602, 952, 649, 1376, 609, 681, 263, 271, 264, 815, 476, 274, 267, 1287, 14921, 519, 1964, 691, 1871, 676, 476, 273, 593, 1169, 21767, 540, 519, 1247, 8520, 568, 454, 9838, 547, 12719, 681, 3799, 1040, 8528, 11109, 2944, 713, 649, 666, 1631, 8399, 547, 5173, 519, 1871, 693, 512, 676, 15663, 602, 1384, 14030, 567, 512, 910, 570, 3799, 264, 815, 512, 910, 476, 272, 910, 681, 3799, 268, 272, 2020, 3383, 267, 8528, 4449, 7386, 1130, 6025, 19885, 264, 815, 570, 3799, 264, 910, 512, 1341, 476, 272, 1341, 681, 3799, 268, 272, 2020, 6518, 568, 3927, 1018, 649, 798, 538, 519, 2063, 1900, 780, 20701, 26611, 16535, 270, 7090, 692, 5814, 19523, 454, 339, 815, 703, 263, 3863, 17750, 31156, 258, 1305, 519, 1376, 1871, 547, 476, 271, 865, 602, 519, 2783, 568, 2141, 3020, 585, 1022, 8870, 512, 3436, 476, 272, 454, 1998, 815, 476, 271, 692, 258, 6969, 519, 1247, 8520, 267, 519, 1297, 540, 1964, 11301, 568, 476, 271, 543, 681, 263, 271, 264, 815, 476, 274, 454, 10113, 318, 6135, 691, 26371, 815, 476, 274, 692, 258, 2638, 952, 649, 616, 538, 519, 1293, 6658, 6712, 267, 26759, 950, 1871, 2999, 512, 454, 6112, 1130, 2999, 512, 912, 825, 1948, 27261, 519, 1871, 676, 681, 5332, 865, 602, 519, 1247, 8520, 17697, 569, 12523, 519, 1297, 540, 1964, 11301, 454, 825, 1130, 6834, 1985, 318, 6135, 691, 26371, 454, 825, 1948, 17697, 569, 5173, 519, 1985, 1964, 691, 1871, 1210, 519, 1297, 540, 23200, 540, 519, 1247, 8520, 454, 825, 1985, 318, 6135, 691, 26371, 2608, 284, 476, 273, 7531, 258, 950, 519, 1247, 8520, 2165, 7149, 267, 649, 786, 723, 18886, 519, 1985, 1964, 691, 1871, 1310, 512, 267, 865, 979, 1394, 547, 519, 2063, 1964, 691, 1871, 454, 18431, 318, 6135, 691, 26371, 815, 1985, 318, 6135, 691, 26371, 270, 273, 454, 258, 2991, 519, 1247, 8520, 2165, 7149, 267, 1871, 568, 2965, 3160, 547, 519, 2040, 540, 782, 519, 1964, 691, 2418, 267, 865, 649, 4894, 519, 2063, 1964, 691, 1871, 799, 649, 723, 936, 28029, 539, 454, 1998, 815, 1130, 910, 2063, 318, 6135, 691, 26371, 692, 258, 4063, 602, 693, 713, 1448, 1130, 568, 8200, 593, 562, 543, 711, 593, 512, 3294, 267, 865, 1631, 649, 946, 519, 2063, 3830, 1657, 547, 5173, 1130, 607, 513, 1599, 540, 512, 454, 29390, 1998, 815, 1130, 910, 512, 1341, 476, 272, 1341, 2063, 318, 6135, 691, 26371, 692, 2745, 1130, 19638, 0, 5035, 570, 4471, 17045, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 18244, 815, 1496, 14085, 30297, 2918, 454, 1038, 1582, 269, 754, 815, 8771, 7531, 5035, 570, 4471, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 570, 4471, 17045, 10797, 825, 1219, 7696, 4311, 267, 1883, 2187, 1038, 3343, 815, 1582, 269, 10174, 454, 1038, 585, 669, 538, 1883, 912, 2018, 4994, 815, 3921, 263, 577, 9984, 867, 3488, 320, 5073, 2018, 952, 711, 3343, 269, 18244, 27709, 14158, 3546, 3343, 269, 18244, 27709, 316, 815, 570, 4471, 17045, 4590, 2018, 3343, 815, 3343, 269, 18244, 27709, 2639, 1038, 3343, 269, 754, 815, 6936, 692, 825, 1219, 3406, 4311, 267, 1883, 2187, 1038, 3343, 815, 1582, 269, 10174, 454, 1038, 585, 669, 538, 1883, 912, 2018, 4994, 815, 3921, 263, 577, 9984, 867, 3488, 320, 5073, 2018, 952, 711, 3343, 269, 18244, 27709, 14158, 3546, 2132, 8771, 454, 2018, 3343, 815, 3343, 269, 18244, 27709, 2639, 1038, 2132, 3343, 568, 711, 7183, 543, 3343, 269, 754, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 10569, 815, 22373, 1492, 2580, 834, 320, 2580, 834, 11004, 2580, 834, 11446, 933, 2580, 834, 1415, 20350, 2018, 834, 2421, 2580, 834, 26132, 31116, 825, 3977, 815, 22373, 8253, 1459, 538, 2468, 324, 20350, 23526, 834, 303, 6974, 538, 12483, 31116, 825, 512, 815, 570, 4471, 4590, 825, 585, 1883, 538, 10569, 912, 1038, 512, 27044, 31107, 2020, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 1492, 2580, 3977, 314, 339, 269, 14142, 2891, 1492, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 28205, 2580, 3977, 314, 339, 269, 14142, 2891, 28205, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 26132, 2580, 3977, 314, 339, 269, 14142, 2891, 26132, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 628, 1177, 2580, 3977, 314, 339, 269, 14142, 2891, 628, 1177, 8442, 8079, 2020, 0, 5228, 3595, 1104, 9605, 454, 5228, 17511, 1104, 5903, 692, 3698, 5173, 6958, 3241, 318, 10175, 318, 527, 1345, 9852, 817, 2187, 825, 2698, 815, 476, 271, 454, 825, 4492, 815, 2527, 454, 825, 1247, 4492, 3436, 476, 271, 912, 1038, 4492, 815, 5173, 6958, 3241, 6600, 3241, 994, 1038, 952, 4492, 3436, 476, 271, 281, 2698, 6834, 4492, 454, 825, 2132, 2698, 692, 3698, 5173, 6958, 3241, 9852, 817, 2187, 825, 2132, 2527, 12262, 476, 274, 910, 476, 273, 692, 3698, 1292, 6025, 652, 17750, 281, 5903, 27776, 316, 815, 1496, 16689, 1363, 1449, 4671, 13759, 281, 703, 815, 7183, 2187, 825, 952, 711, 1449, 17750, 912, 1038, 609, 1930, 3488, 907, 270, 323, 273, 270, 6358, 318, 6344, 273, 10807, 607, 535, 912, 2018, 3403, 815, 4786, 17301, 267, 535, 18667, 14061, 20889, 28361, 333, 29125, 825, 3116, 912, 1038, 3403, 815, 1449, 17750, 692, 825, 535, 23544, 815, 476, 271, 454, 825, 585, 544, 538, 3403, 912, 1038, 535, 815, 5173, 6958, 3241, 318, 10175, 318, 527, 1345, 9852, 994, 1038, 535, 23544, 6834, 535, 692, 825, 1820, 6600, 23544, 994, 825, 952, 1449, 4671, 13759, 568, 711, 7183, 912, 1038, 1820, 6600, 23544, 2652, 1449, 4671, 13759, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9605, 9852, 664, 994, 0, 3698, 3529, 10857, 8475, 267, 8371, 17342, 316, 2187, 825, 585, 7936, 538, 8371, 912, 1038, 7682, 568, 4671, 872, 263, 1962, 21123, 994, 825, 2132, 1496, 16932, 316, 1341, 1592, 263, 1962, 534, 2583, 2020, 3698, 6003, 6025, 872, 2187, 825, 2132, 3529, 314, 271, 6540, 3698, 8371, 6025, 872, 2187, 825, 2132, 3529, 314, 272, 281, 6540, 3698, 568, 4671, 872, 6025, 872, 2187, 825, 952, 1826, 6025, 872, 264, 11203, 1592, 610, 7003, 6025, 872, 2999, 476, 272, 2187, 1038, 2132, 8771, 454, 825, 585, 7936, 538, 8371, 6025, 872, 2187, 1038, 952, 711, 568, 4671, 872, 263, 1962, 21123, 2187, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 568, 318, 29566, 6025, 872, 2187, 825, 2132, 711, 8371, 6025, 872, 2020, 3698, 1293, 318, 548, 2314, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 476, 272, 454, 825, 2132, 2040, 8443, 12248, 318, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 3762, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 1496, 16932, 6025, 22708, 825, 2132, 2040, 8443, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 264, 3910, 1496, 20285, 3698, 27261, 318, 548, 2314, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 3529, 10857, 8475, 6025, 264, 1341, 476, 272, 994, 825, 2132, 3529, 10857, 8475, 6025, 1070, 1496, 27463, 618, 318, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 27261, 6025, 2187, 825, 2132, 3529, 10857, 8475, 6025, 264, 1341, 476, 272, 267, 1496, 27463, 618, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 1820, 4671, 872, 6025, 267, 25034, 284, 271, 2187, 825, 1820, 3488, 476, 24003, 785, 550, 1341, 1193, 10857, 8475, 6025, 21875, 825, 585, 536, 538, 8371, 6025, 2187, 1038, 1820, 4671, 872, 6357, 267, 25034, 266, 272, 994, 8931, 0, 258, 5741, 25586, 476, 6795, 692, 3698, 7154, 263, 30084, 2187, 825, 5727, 8340, 338, 519, 7154, 630, 2865, 4122, 1624, 1005, 3693, 264, 540, 513, 1592, 270, 30084, 27969, 454, 825, 3193, 18045, 815, 476, 271, 454, 825, 7154, 27133, 815, 1305, 4590, 825, 585, 7127, 538, 5311, 912, 1038, 952, 5311, 29644, 263, 18782, 264, 3436, 3193, 18045, 912, 2018, 3193, 18045, 815, 5311, 29644, 263, 18782, 994, 825, 585, 7127, 538, 5311, 912, 1038, 952, 5311, 29644, 263, 18782, 264, 2652, 3193, 18045, 912, 2018, 7154, 27133, 815, 7154, 27133, 1923, 2715, 18782, 8679, 825, 2132, 7154, 27133, 692, 5976, 1930, 2891, 6795, 2275, 8327, 17902, 14824, 337, 8442, 607, 29905, 17750, 912, 825, 29905, 815, 1496, 454, 1038, 703, 263, 18782, 264, 585, 7127, 538, 29905, 17750, 18667, 1467, 14061, 29328, 28361, 333, 262, 1040, 20889, 263, 3299, 5073, 825, 476, 6540, 322, 8327, 318, 8145, 318, 271, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 271, 2639, 322, 8327, 318, 8145, 318, 272, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 272, 2639, 322, 8327, 318, 8145, 318, 273, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 273, 6540, 258, 1820, 9852, 1712, 6262, 8327, 318, 8145, 318, 271, 1070, 7154, 6262, 8327, 318, 8145, 318, 272, 1070, 7154, 6262, 8327, 318, 8145, 318, 273, 4917, 258, 476, 10170, 267, 476, 8064, 267, 476, 6924, 6606, 692, 258, 1820, 263, 867, 3488, 1412, 4297, 1948, 476, 3953, 692, 10139, 5320, 815, 1496, 10170, 9745, 476, 3953, 267, 476, 8064, 9745, 476, 3953, 267, 476, 6924, 9745, 476, 3953, 2639, 10139, 5320, 23952, 815, 15234, 692, 1721, 7127, 538, 10957, 912, 825, 10957, 23952, 6834, 669, 337, 263, 18782, 2020, 2745, 9638, 817, 5320, 23952, 2020, 332, 20687, 23952, 815, 15234, 692, 1721, 795, 538, 2039, 12759, 6262, 8327, 15892, 825, 5048, 23952, 6834, 669, 337, 6262, 8327, 14728, 316, 9745, 10957, 14728, 4939, 476, 274, 20285, 2745, 9852, 20687, 23952, 2020, 1492, 23544, 815, 476, 271, 454, 1721, 1347, 538, 5048, 23952, 912, 825, 519, 23544, 6834, 3921, 263, 10420, 2020, 2745, 263, 1492, 23544, 264, 1948, 476, 13040, 3374, 280, 454, 0, 258, 5741, 25586, 476, 8618, 692, 5814, 621, 1068, 8962, 692, 3698, 21657, 4689, 4433, 19885, 2187, 825, 5727, 14303, 5281, 519, 32671, 521, 3766, 4689, 1297, 27969, 454, 825, 2132, 630, 333, 1262, 273, 2608, 630, 338, 910, 476, 273, 264, 910, 562, 2608, 630, 338, 910, 476, 275, 4297, 12262, 476, 273, 692, 18851, 29991, 519, 4143, 521, 3766, 4689, 2338, 27969, 692, 258, 585, 521, 538, 2039 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1292, 8371, 540, 6683, 4702, 12077, 281, 16581, 630, 290, 1886, 264, 6713, 1299, 5253, 7177, 267, 12426, 7557, 10320, 1299, 5295, 7177, 267, 7054, 3419, 566, 1299, 667, 1778, 720, 7177, 543, 14606, 4826, 11094, 7177, 269, 2859, 5693, 267, 621, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 547, 1118, 8105, 4443, 267, 811, 3608, 543, 811, 19311, 998, 519, 1374, 543, 1646, 540, 1007, 6694, 12227, 543, 998, 10124, 538, 12555, 1949, 267, 1379, 1949, 267, 1216, 543, 3037, 5726, 267, 3092, 269, 769, 2110, 267, 713, 4110, 1576, 5631, 6212, 593, 519, 1353, 540, 519, 3498, 540, 519, 2035, 543, 2553, 540, 1585, 4610, 540, 4702, 547, 519, 3070, 540, 2042, 16109, 538, 519, 2361, 540, 6683, 543, 6917, 2713, 269, 634, 8653, 540, 519, 1576, 568, 1079, 1296, 543, 519, 1576, 568, 606, 1271, 543, 3407, 602, 568, 849, 4876, 7259, 532, 538, 2470, 563, 1432, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 888, 5415, 5693, 267, 621, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 547, 1118, 8105, 4443, 267, 811, 3608, 543, 811, 19311, 998, 519, 1374, 543, 1646, 540, 1007, 6694, 12227, 543, 998, 10124, 538, 12555, 1949, 2073, 1379, 1949, 267, 1216, 543, 3037, 5726, 2073, 3092, 563, 1432, 4110, 798, 7344, 8030, 991, 888, 9288, 22817, 8030, 723, 693, 5934, 5833, 513, 20277, 779, 4110, 538, 7344, 4702, 563, 1432, 568, 7344, 4702, 888, 9288, 22817, 8030, 616, 3238, 609, 519, 5108, 267, 3892, 267, 543, 946, 540, 1648, 269, 901, 1223, 581, 607, 513, 851, 519, 1852, 543, 12957, 540, 5663, 1949, 267, 519, 1374, 543, 1646, 540, 6191, 610, 519, 3435, 547, 2825, 2042, 563, 7712, 713, 568, 513, 623, 294, 1576, 267, 25328, 779, 23422, 538, 645, 9950, 32220, 289, 11053, 3663, 269, 16581, 7177, 568, 2838, 563, 9928, 2100, 267, 16763, 3255, 543, 6428, 776, 3877, 454, 3080, 949, 6443, 11982, 3493, 25902, 540, 1114, 3557, 22749, 269, 1358, 949, 3362, 2244, 20229, 779, 9708, 538, 713, 8257, 269, 18766, 689, 602, 267, 824, 6554, 3493, 25902, 1141, 20021, 949, 1265, 6009, 616, 268, 5253, 4972, 267, 3194, 3493, 25902, 267, 4144, 776, 4425, 1841, 267, 6554, 30793, 2471, 630, 553, 17976, 337, 264, 3092, 269, 0, 26199, 2012, 29325, 24247, 454, 295, 27941, 8760, 26054, 4054, 454, 30054, 1077, 28944, 3657, 8619, 13869, 267, 29325, 24247, 1232, 776, 328, 267, 29325, 24247, 1232, 760, 16772, 267, 29325, 24247, 14834, 698, 2444, 926, 18424, 267, 29325, 24247, 533, 655, 3316, 320, 2008, 21698, 19348, 13869, 610, 10085, 24247, 561, 2373, 322, 839, 610, 11344, 29647, 13869, 610, 18173, 13869, 454, 291, 344, 24247, 568, 513, 12593, 540, 15496, 2371, 538, 519, 3657, 322, 19687, 1920, 269, 1358, 616, 28795, 267, 28033, 27374, 609, 5835, 5810, 5645, 538, 3443, 2873, 10838, 519, 533, 4883, 622, 3762, 269, 3509, 29325, 24247, 2249, 723, 19666, 4839, 4221, 630, 629, 913, 519, 1292, 17657, 1070, 513, 4686, 2208, 4356, 1851, 27374, 269, 2368, 723, 2261, 806, 1417, 3762, 602, 2611, 7923, 1310, 2669, 543, 15972, 16445, 585, 5567, 563, 268, 10326, 19348, 13869, 610, 10085, 24247, 561, 2373, 322, 839, 610, 11344, 29647, 13869, 610, 18173, 13869, 454, 268, 3657, 8619, 13869, 10085, 24247, 561, 2373, 322, 839, 18173, 13869, 454, 763, 29721, 568, 21372, 855, 949, 581, 1644, 547, 519, 5259, 10085, 696, 334, 2048, 296, 4685, 685, 610, 10085, 696, 525, 2048, 323, 1853, 9957, 634, 2249, 616, 5065, 547, 25157, 267, 28801, 267, 543, 1585, 10195, 538, 519, 4095, 7909, 630, 300, 4768, 527, 3780, 543, 1290, 528, 657, 1040, 589, 1906, 616, 2067, 1242, 538, 824, 4525, 267, 2523, 538, 519, 12144, 269, 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 2690, 4548, 543, 5717, 912, 10048, 783, 338, 543, 4704, 2835, 912, 10574, 689, 27861, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 9213, 267, 972, 616, 1082, 1114, 2010, 540, 22763, 2139, 267, 4470, 593, 2436, 596, 616, 13389, 1072, 1416, 267, 6604, 267, 610, 948, 609, 7067, 563, 300, 4215, 7732, 5851, 8525, 29434, 16648, 857, 7846, 454, 22238, 7821, 2452, 16237, 1492, 985, 519, 4761, 1062, 267, 7472, 15084, 6438, 6878, 267, 6971, 519, 1981, 540, 2022, 1673, 1047, 848, 12687, 6888, 609, 513, 32714, 267, 865, 621, 781, 26656, 547, 948, 519, 3919, 1729, 1205, 856, 540, 513, 2068, 5488, 563, 7712, 476, 3583, 2600, 540, 938, 4761, 1062, 1568, 538, 938, 4835, 1062, 267, 621, 568, 1360, 1434, 585, 519, 1560, 547, 948, 596, 4308, 609, 606, 11371, 31335, 269, 11525, 7821, 5968, 609, 9726, 14231, 543, 948, 873, 5391, 4733, 543, 3132, 12192, 918, 543, 12192, 645, 563, 12901, 756, 7821, 6146, 12725, 538, 519, 16892, 2394, 789, 616, 12842, 269, 898, 568, 4502, 2921, 513, 32714, 1310, 10338, 267, 799, 1797, 476, 273, 268, 274, 3108, 1310, 519, 15084, 269, 1403, 596, 6336, 621, 1101, 267, 519, 15084, 849, 30001, 519, 9241, 3144, 22763, 269, 898, 568, 19624, 547, 3136, 2921, 22763, 585, 835, 3018, 1310, 707, 15084, 7181, 256, 15446, 327, 584, 1206, 5627, 22763, 789, 616, 18886, 607, 6198, 3536, 543, 948, 538, 2635, 2713, 543, 2635, 4189, 267, 1247, 930, 3536, 2270, 1454, 2362, 2157, 540, 32714, 1543, 563, 288, 32714, 949, 948, 454, 4913, 267, 952, 2576, 568, 835, 689, 4576, 547, 6051, 1403, 596, 616, 1210, 32714, 5061, 267, 621, 568, 4502, 7446, 513, 3075, 1851, 1346, 945, 616, 10805, 630, 28205, 616, 849, 2139, 1510, 513, 13310, 8094, 12901, 756, 7821, 948, 519, 1560, 547, 6146, 519, 4551, 602, 616, 4929, 519, 2068, 267, 855, 713, 849, 1797, 602, 649, 616, 849, 11318, 3730, 4551, 269, 1358, 948, 609, 519, 32543, 3174, 540, 22763, 543, 3274, 19582, 519, 9667, 1062, 585, 23633, 4551, 856, 540, 1747, 865, 789, 666, 7017, 972, 1447, 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 ]
[ 666, 2063, 909, 476, 1911, 267, 1822, 3108, 269, 769, 824, 1913, 267, 606, 590, 13270, 10896, 666, 1683, 811, 982, 476, 1556, 1296, 540, 6024, 8654, 269, 3958, 267, 10896, 8279, 4465, 1406, 6633, 856, 899, 1651, 663, 27853, 1769, 15620, 8259, 3978, 8800, 3441, 4386, 269, 634, 21386, 540, 606, 10896, 666, 267, 2705, 267, 7930, 28201, 563, 1432, 568, 519, 3017, 1063, 10896, 543, 590, 13270, 10896, 888, 20175, 10896, 15620, 610, 1524, 7547, 2356, 2270, 476, 274, 610, 476, 275, 1164, 13324, 10896, 13365, 799, 9192, 547, 1711, 513, 5059, 11237, 540, 1769, 267, 2356, 609, 513, 476, 1839, 610, 476, 2412, 4110, 11237, 5086, 269, 590, 13270, 10896, 15620, 616, 1500, 909, 540, 513, 12440, 540, 1360, 1507, 10896, 13365, 267, 2356, 1472, 476, 736, 829, 15941, 563, 1692, 568, 590, 13270, 10896, 2450, 6027, 888, 306, 13270, 27178, 267, 899, 3044, 27178, 267, 616, 2139, 538, 1114, 7306, 269, 476, 272, 7825, 547, 476, 275, 7825, 855, 789, 5749, 1406, 15951, 899, 602, 269, 6145, 1034, 590, 13270, 3334, 267, 789, 616, 4857, 538, 2450, 2338, 269, 634, 2338, 616, 5462, 676, 654, 5954, 630, 514, 2583, 264, 16611, 676, 20099, 630, 514, 2583, 264, 21411, 2614, 609, 590, 13270, 563, 7617, 568, 17321, 10896, 476, 31746, 271, 610, 476, 31134, 279, 888, 8245, 2952, 2322, 267, 891, 10896, 13365, 616, 1572, 590, 13270, 476, 31746, 271, 1317, 519, 7516, 540, 519, 13365, 616, 476, 276, 269, 271, 7825, 1535, 476, 276, 269, 271, 7825, 269, 1358, 723, 476, 274, 10896, 1019, 3941, 538, 835, 8027, 630, 27271, 1572, 2468, 7302, 2354, 1070, 543, 616, 513, 2603, 17321, 982, 1367, 476, 31134, 279, 10896, 13365, 563, 1692, 1082, 2010, 540, 590, 13270, 10896, 616, 972, 888, 306, 13270, 630, 306, 16577, 6778, 667, 1675, 324, 264, 634, 2010, 540, 590, 13270, 10896, 3525, 2737, 616, 13747, 676, 519, 7516, 540, 519, 10896, 13365, 269, 5871, 2010, 616, 476, 31746, 271, 590, 13270, 10896, 267, 476, 31134, 279, 590, 13270, 10896, 267, 476, 27543, 276, 590, 13270, 10896, 563, 1692, 798, 594, 917, 952, 1250, 10896, 568, 590, 13270, 888, 2467, 616, 1114, 2010, 540, 590, 13270, 27178, 267, 543, 1142, 14583, 568, 4857, 676, 513, 3126, 540, 2338, 602, 5581, 922, 2450, 543, 2404, 21386, 1377, 269, 634, 10896, 8446, 1297, 14687, 547, 519, 2450, 540, 519, 13863, 3294, 267, 6829, 538, 1984, 22015, 637, 563, 1432, 568, 519, 6453, 540, 590, 13270, 10896, 888, 347, 5825, 720, 270, 32101, 1475, 14197, 20828, 31786, 2008, 347, 32101, 1475, 12564, 8752, 267, 10896, 10089, 321, 267, 19937, 8752, 2008, 7617, 568, 1732, 476, 31134, 279, 610, 476, 31746, 271, 888, 4407, 519, 476, 31746, 271, 13863, 666, 581, 1031, 538, 2582, 2681, 3156, 267, 649, 723, 1336, 519, 476, 31746, 271, 27178, 547, 581, 1732, 585, 519, 681, 16412, 543, 519, 476, 31134, 279, 590, 13270, 27178, 538, 1164, 5860, 1732, 585, 2582, 2681, 3156, 269, 1358, 616, 1572, 590, 13270, 31134, 279, 1317, 519, 10155, 540, 519, 13863, 568, 476, 274, 269, 276, 7825, 2608, 476, 273, 269, 279, 7825, 563, 7617, 568, 17321, 476, 31746, 271, 610, 476, 6321, 274, 271, 888, 763, 476, 31746, 271, 543, 476, 6321, 274, 271, 590, 13270, 27178, 616, 1079, 2010, 540, 590, 13270, 27178, 4122, 1031, 538, 1753, 543, 5010, 8654, 269, 589, 476, 31746, 271, 10896, 26534, 786, 22113, 519, 6697, 540, 827, 476, 1240, 561, 636, 839, 269, 476, 6321, 274, 271, 568, 17321, 982, 476, 31746, 271, 267, 865, 621, 27499, 811, 26910, 720, 563, 1432, 568, 519, 3017, 1063, 590, 13270, 476, 31746, 271, 543, 590, 13270, 476, 31134, 279, 888, 1692, 1082, 2010, 540, 590, 13270, 27178, 616, 972, 888, 763, 2010, 540, 590, 13270, 10896, 3525, 2737, 616, 13747, 676, 519, 7516, 540, 519, 10896, 13365, 269, 5871, 2010, 616, 476, 31746, 271, 590, 13270, 10896, 267, 476, 31134, 279, 590, 13270, 10896, 267, 476, 27543, 276, 590, 13270, 10896, 563, 1432, 568, 590, 13270, 10896, 888, 306, 13270, 6763, 585, 17183, 6778, 539, 27620, 267, 590, 13270, 10896, 568, 513, 10189, 1826, 540, 10896, 3812, 676, 1210, 2627, 2173, 870, 2029, 630, 15551, 307, 264, 547, 4410, 10896, 13365, 593, 9102, 5547, 12545, 630, 15425, 289, 1040, 590, 13270, 10896, 814, 1082, 2010, 267, 6518, 616, 3812, 538, 513, 3099, 540, 5546, 543, 7306, 32586, 1034, 1455, 2010, 540, 27178, 616, 281, 476, 27543, 276, 267, 476, 31134, 279, 267, 476, 23714, 271, 267, 476, 24062, 271, 267, 476, 31874, 276, 267, 476, 22145, 275, 267, 476, 25002, 275, 267, 476, 31746, 271, 267, 476, 2004, 277, 271, 267, 476, 6872, 274, 271, 563, 1432, 616, 519, 1114, 2010, 540, 590, 13270, 888, 17780, 593, 519, 11183, 31455, 267, 590, 13270, 666, 581, 5258, 883, 1079, 6688, 281, 519, 8863, 7709, 1826, 543, 519, 570, 8008, 1826, 269, 634, 8863, 7709, 11183, 31455, 568, 513, 6366, 2497, 267, 3335, 1500, 540, 20111, 267, 1500, 998, 15441, 27575, 609, 9044, 10296, 267, 543, 3684, 2759, 563, 9989, 3751, 1962, 697, 2709, 590, 13270, 10896, 2472, 888, 21914, 1962, 697, 3091, 513, 5542, 540, 590, 13270, 27178, 602, 616, 2966, 547, 2743, 519, 16551, 540, 707, 3498, 269, 3776, 590, 13270, 10896, 1587, 5356, 568, 1034, 4122, 1031, 585, 15409, 3457, 267, 2754, 7082, 11418, 267, 4853, 1688, 18988, 3457, 543, 811, 269, 13555, 3751, 1962, 697, 2221, 585, 811, 1344, 827, 519, 2472, 2630, 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 ]
[ 513, 4759, 540, 1010, 1362, 267, 945, 21783, 609, 1362, 26549, 543, 13604, 2968, 513, 4116, 540, 6128, 538, 519, 9872, 936, 799, 1200, 9393, 1095, 3660, 269, 589, 3811, 1974, 693, 713, 30028, 8118, 519, 1259, 547, 513, 2362, 1289, 267, 543, 6004, 269, 543, 11427, 269, 853, 1737, 2006, 4682, 547, 2961, 8175, 12054, 2435, 543, 16453, 3427, 538, 22548, 542, 267, 12425, 269, 1358, 7283, 538, 5279, 540, 713, 9872, 540, 1565, 585, 1614, 1296, 267, 2394, 267, 1072, 14053, 513, 1689, 540, 960, 585, 1312, 267, 789, 5828, 741, 8188, 4724, 19578, 267, 519, 1533, 540, 741, 10073, 267, 543, 538, 476, 6942, 274, 6004, 269, 853, 1737, 2006, 11751, 519, 14642, 576, 7637, 13329, 514, 601, 267, 799, 646, 12995, 2394, 646, 12349, 519, 595, 6135, 517, 30657, 8291, 538, 476, 6942, 278, 269, 4438, 1010, 4276, 609, 519, 14642, 576, 7637, 13329, 514, 601, 267, 646, 729, 11221, 8664, 15518, 622, 689, 519, 1530, 22770, 6837, 1308, 8664, 547, 519, 17044, 2817, 13482, 267, 799, 1558, 538, 595, 32385, 10620, 538, 476, 6942, 277, 563, 3891, 11262, 543, 12995, 519, 595, 6135, 517, 30657, 8291, 585, 5722, 1296, 267, 543, 1282, 602, 942, 8547, 519, 11545, 30657, 8291, 269, 634, 595, 6135, 517, 11545, 543, 28315, 30657, 8291, 267, 896, 1010, 2359, 267, 2919, 883, 835, 540, 519, 1034, 25133, 11356, 2371, 538, 519, 1533, 543, 5833, 513, 31449, 1851, 15769, 799, 621, 814, 2479, 2094, 9738, 269, 769, 476, 6642, 275, 6004, 269, 853, 1737, 2006, 12349, 606, 1719, 538, 519, 7027, 18671, 742, 338, 6348, 6768, 559, 269, 901, 1957, 646, 12995, 585, 1896, 1296, 267, 1427, 3931, 1152, 950, 7142, 547, 798, 865, 676, 15176, 1072, 269, 4438, 519, 1296, 646, 729, 4448, 609, 519, 14642, 576, 7637, 13329, 514, 601, 267, 519, 595, 6135, 517, 30657, 8291, 543, 519, 7027, 18671, 742, 338, 6348, 335, 926, 601, 267, 646, 729, 8362, 7722, 593, 519, 588, 2794, 538, 1169, 2797, 5859, 267, 1312, 3084, 543, 1533, 269, 3571, 3742, 960, 607, 513, 4759, 540, 519, 9835, 8136, 540, 519, 6243, 1500, 1864, 513, 2442, 11134, 585, 4972, 2155, 6387, 540, 602, 1390, 3919, 269, 769, 476, 6245, 273, 646, 729, 11221, 547, 713, 1164, 3743, 5604, 267, 543, 865, 7561, 1705, 646, 11166, 1010, 11645, 602, 513, 5595, 16499, 11102, 729, 1655, 15735, 2390, 1864, 267, 835, 676, 1010, 635, 10232, 543, 835, 676, 519, 1533, 1958, 2086, 618, 269, 769, 476, 6245, 273, 6004, 269, 853, 1737, 2006, 729, 12912, 804, 17064, 540, 519, 2136, 2276, 8664, 5480, 585, 519, 7013, 8664, 540, 19578, 269, 6004, 269, 853, 1737, 2006, 814, 2141, 1044, 513, 14081, 534, 267, 7986, 538, 519, 5646, 15078, 540, 519, 5428, 543, 28165, 1317, 540, 1010, 2702, 547, 9718, 922, 3741, 267, 1312, 538, 519, 11356, 543, 593, 519, 588, 2794, 269, 1261, 814, 605, 4944, 1229, 20019, 543, 2221, 16034, 1851, 519, 4396, 543, 3811, 1870, 2367, 538, 19578, 563, 349, 335, 21242, 538, 476, 6245, 280, 454, 3528, 22186, 787, 333, 8065, 1923, 5988, 476, 1015, 267, 476, 1001, 271, 454, 763, 1739, 568, 606, 21626, 689, 3778, 540, 661, 4471, 10985, 630, 5002, 278, 264, 676, 26778, 20307, 674, 2784, 523, 15734, 269, 594, 993, 20171, 607, 851, 540, 1250, 1382, 538, 8159, 519, 4282, 540, 8585, 1097, 853, 1737, 2006, 267, 7385, 540, 19279, 8065, 269, 2701, 568, 1934, 782, 24231, 547, 267, 855, 711, 676, 2012, 269, 2701, 568, 11303, 676, 1004, 945, 616, 1034, 2693, 851, 540, 1200, 853, 1737, 2006, 1920, 267, 855, 594, 723, 2943, 547, 3313, 875, 563, 2005, 814, 1044, 15810, 602, 1352, 729, 851, 540, 519, 20182, 853, 1737, 2006, 1920, 538, 10557, 267, 7137, 802, 10921, 267, 12590, 543, 621, 814, 1044, 15810, 602, 1352, 568, 1644, 547, 519, 9478, 853, 1737, 2006, 1920, 267, 4651, 540, 667, 12447, 853, 1737, 2006, 269, 11569, 267, 602, 1920, 814, 513, 31473, 4276, 267, 543, 1920, 561, 648, 15387, 602, 8585, 1097, 1185, 513, 4276, 547, 519, 31473, 1920, 269, 1809, 267, 1287, 267, 865, 1281, 20182, 853, 1737, 2006, 538, 10790, 269, 6271, 23319, 1522, 581, 538, 519, 11944, 540, 3627, 7225, 5459, 853, 1737, 2006, 267, 945, 729, 27333, 689, 595, 3430, 541, 13774, 639, 6019, 267, 12924, 269, 589, 2104, 2022, 786, 1039, 811, 1469, 547, 519, 1272, 540, 3627, 7225, 5459, 853, 1737, 2006, 267, 945, 538, 476, 8146, 272, 729, 12912, 3791, 840, 12329, 540, 519, 21482, 573, 543, 25350, 18065, 267, 1310, 1373, 968, 935, 30062, 896, 519, 2978, 832, 540, 645, 20166, 269, 1773, 574, 17980, 538, 476, 9264, 275, 268, 1839, 3034, 263, 14532, 540, 661, 4471, 10985, 267, 674, 2784, 523, 15734, 994, 12218, 525, 5029, 1242, 693, 29457, 7702, 543, 4077, 23057, 1144, 267, 744, 454, 289, 650, 902, 744, 269, 1496, 302, 26385, 316, 1773, 574, 17980, 4646, 513, 1362, 538, 29457, 7702, 267, 11882, 267, 538, 476, 9264, 275, 267, 519, 544, 727, 1499, 540, 799, 3769, 667, 644, 2917, 670, 3326, 3563, 543, 7385, 267, 1234, 889, 523, 8361, 543, 7385, 267, 543, 12756, 674, 31867, 517, 563, 1103, 476, 9264, 275, 594, 571, 3798, 11276, 543, 9291, 902, 744, 269, 1773, 574, 17980, 267, 10707, 519, 1546, 518, 7615, 18065, 267, 4646, 513, 1362, 538, 519, 4884, 540, 4077, 23057, 1144, 267, 5800, 720, 267, 11882, 269, 634, 1739, 941, 519, 22082, 2818, 269, 19863, 3780, 3213, 324, 543, 7385, 267, 1520, 3534, 595, 269, 3213, 324, 543, 7385, 269, 8861, 595, 269, 3213, 324, 269, 1325, 15343, 639, 25930, 7773, 267, 19279, 8065, 543, 7385, 267, 3627, 7225, 5459, 853, 1737, 2006, 543, 11977, 853, 1737, 2006, 269, 11524, 941, 4166, 3773, 267, 1851, 7247, 616, 3957, 281, 667, 12447, 853, 1737, 2006, 267, 23846, 853, 1737, 2006, 267, 667, 1675, 4821, 853, 1737, 2006, 543, 519, 1079, 7323, 525, 8065, 269, 769, 5130, 476, 9264, 276, 267, 8176, 11875, 328, 2714, 267, 519, 3465, 4575, 26744, 267, 3357, 547, 3180, 513, 10116, 569, 5870, 267, 543, 729, 15189, 519, 946, 540, 519, 2370, 1153, 2777, 1317, 519, 968, 17812, 2958, 1049, 14012, 267, 2348, 519, 9510, 1318, 267, 10645, 621, 1848, 6004, 269, 11875, 328, 2714, 7608, 519, 2709, 540, 513, 28561, 269, 634, 6989, 729, 27206, 543, 1500, 6899, 585, 519, 2021, 267, 543, 513, 1906, 15985, 956, 540, 12450, 941, 16559, 593, 519, 2666, 538, 4395, 540, 519, 7450, 2390, 799, 2367, 1223, 1796, 269, 634, 5870, 729, 5918, 569, 4371, 267, 543, 6004, 269, 11875, 328, 2714, 840, 3737, 513, 11493, 28005, 517, 1996, 27869, 1143, 269, 898, 729, 5462, 547, 1628, 513, 5939, 267, 543, 2947, 3972, 4315, 941, 12912, 585, 602, 3483, 269, 1358, 5833, 513, 2603, 543, 25517, 513, 16517, 15839, 5939, 799, 729, 13026, 676, 519, 2486, 585, 1082, 1296, 269, 1635, 519, 2673, 540, 519, 1032, 789, 22921, 1063, 13977, 543, 17288, 2818, 269, 630, 294, 516, 1375, 267, 3778, 540, 6396, 1143, 267, 661, 4471, 10985, 267, 5292, 594, 267, 6032, 269, 476, 25546, 268, 13136, 994, 763, 1739, 568, 513, 7222, 21626, 689, 634, 3778, 540, 6396, 1143, 10738, 519, 21940, 2456, 540, 519, 661, 4471, 10985, 540, 519, 6396, 626, 9210, 4593, 29914, 5783, 269, 5292, 594, 630, 6942, 274, 264, 676, 15656, 13983, 1375, 630, 8687, 271, 268, 6942, 278, 994, 3725, 341, 269, 11619, 3464, 269, 3798, 11276, 543, 1773, 574, 17980, 267, 593, 519, 1546, 518, 7615, 18065, 267, 3964, 606, 13393, 538, 519, 4884, 540, 4077, 23057, 1144, 267, 5800, 720, 267, 11882, 1141, 513, 5556, 2958, 1049, 5783, 267, 6896, 538, 12590, 543, 1287, 576, 32164, 3603, 547, 713, 4884, 267, 4371, 3592, 19957, 32022, 267, 543, 941, 5462, 547, 1832, 519, 6396, 1235, 938, 1022, 6011, 269, 17652, 513, 25954, 540, 4984, 862, 10642, 267, 799, 4797, 998, 519, 5162, 267, 543, 8507, 538, 519, 5250, 540, 513, 1362, 9967, 540, 19863, 3780, 3213, 324, 543, 7385, 267, 19279, 8065, 543, 7385, 267, 8861, 595, 269, 3213, 324, 267, 3627, 7225, 5459, 853, 1737, 2006, 267, 11977, 853, 1737, 2006, 267, 543, 547, 713, 2370, 6512, 1866, 941, 4166, 3773, 267, 1851, 873, 667, 1675, 4821, 853, 1737, 2006, 543, 1079, 1762, 21031, 676, 519, 2012, 540, 8065, 7498, 5475, 1454, 7411, 789, 16309, 538, 3478, 513, 2603, 693, 519, 5045, 29891, 7944, 540, 519, 4009, 267, 593, 799, 789, 25517, 513, 16517, 2370, 15839, 5939, 2507, 7536, 265, 291, 12447, 853, 1737, 2006, 13478, 1540, 2006, 9310, 4223, 843, 320, 6478, 523, 269, 21452, 267, 741, 1453, 3769, 8361, 1773, 574, 17980, 853, 539, 2006, 630, 321, 269, 476, 4029, 4119, 476, 8146, 275, 1916, 265, 2704, 15343, 639, 25930, 7773, 9310, 2717, 569, 853, 539, 2006, 267, 11078, 540, 667, 12447, 853, 539, 2006, 269, 2717, 569, 853, 539, 2006, 568, 13006, 607, 1373, 689, 10790, 563, 265, 310, 20490, 853, 539, 2006, 729, 519, 7015, 540, 667, 12447, 853, 539, 2006, 563, 300, 3464, 269, 1520, 3534, 595, 269, 3213, 324, 568, 2398, 28619, 8065, 267, 1312, 689, 10790, 563, 3528, 22186, 787, 333, 8065, 1923, 5988, 476, 278, 267, 476, 1001, 271, 454, 2704, 15343, 639, 8065, 277, 630, 297, 657, 11672, 276, 267, 21280, 11672, 275, 267, 15656, 274, 267, 15656, 273, 267, 6723, 264, 729, 519, 5067, 540, 21280, 11672, 8065, 543, 10906, 15570, 1088, 543, 1390, 1178, 2738, 517, 540, 15656, 8065, 543, 8861, 29547, 269, 1261, 729, 4535, 538, 590, 12002, 267, 21086, 267, 593, 5147, 476, 2764, 267, 476, 12293, 277, 269, 2201, 5181, 476, 278, 267, 476, 9965, 280, 267, 538, 590, 12002, 646, 9310, 17555, 590, 10105, 267, 8250, 540, 1234, 889, 523, 590, 10105, 543, 11289, 995, 11370, 749, 269, 17555, 729, 4535, 476, 274, 4119, 269, 476, 12293, 280, 267, 865, 1352, 9310, 1175, 513, 3923, 1310, 1200, 476, 736, 628, 14512, 269, 1496, 23623, 781, 540, 590, 12002, 267, 11632, 267, 4446, 13118, 14635, 2639, 3528, 476, 9692, 279, 1325, 15343, 639, 1185, 6410, 1010, 1762, 1920, 689, 590, 12002, 547, 16441, 24546, 6019, 267, 1715, 3840, 267, 1141, 646, 729, 1500, 744, 2091, 518, 540, 4400, 1811, 543, 267, 1141, 646, 2663, 12349, 476, 3199, 14143, 593, 519, 7178, 2427, 540, 519, 16441, 24546, 5211, 538, 519, 16011, 540, 15593, 10767, 928, 267, 1631, 519, 16011, 540, 590, 3240, 337, 3534, 269, 1261, 729, 513, 16027, 269, 7731, 2245, 3081, 602, 519, 1657, 22269, 10571, 518, 3357, 689, 21086, 609, 1325, 15343, 639, 543, 1010, 1920, 269, 1879, 621, 729, 2016, 547, 803, 594, 1185, 621, 813, 571, 2213, 585, 6142, 543, 20240, 602, 621, 779, 6093, 540, 21086, 11647, 540, 602, 1974, 563, 2704, 15343, 639, 543, 17555, 1185, 476, 278, 1453, 282, 476, 277, 6690, 543, 513, 7911, 269, 1358, 7283, 538, 590, 3240, 337, 3534, 585, 519, 1964, 540, 741, 2729, 543, 5747, 972, 269, 17555, 5747, 593, 5147, 476, 1556, 267, 476, 9264, 276, 543, 1325, 15343, 639, 593, 5147, 476, 1321, 267, 476, 8146, 273, 269, 1358, 616, 12617, 538, 519, 23778, 6807, 22810, 30895, 563, 2691, 594, 3459, 10478, 585, 1250, 1920, 5072, 538, 476, 2735, 276, 267, 594, 4769, 1406, 917, 1454, 827, 5444, 30688, 1382, 865, 594, 22755, 547, 519, 28200, 538, 23778, 6807, 593, 513, 627, 574, 1317, 594, 6785, 602, 930, 540, 1250, 8065, 11937, 1185, 5030, 972, 269, 594, 6288, 539, 1250, 1286, 543, 15336, 2786, 547, 519, 30401, 540, 1325, 15343, 639, 543, 17555, 543, 741, 5067, 21125, 267, 689, 7247, 594, 6557, 26731, 256, 1684, 596, 1589, 938, 11937, 2285, 721, 10881, 865, 649, 666, 1265, 873, 286, 630, 3519, 14287, 267, 649, 782, 917, 602, 930, 11937, 12404, 782, 15244, 540, 2933, 8094, 3528, 22186, 787, 333, 8065, 1923, 5130, 476, 1015, 267, 476, 1001, 271, 454, 1103, 519, 2063, 8717, 594, 14059, 1250, 4651, 543, 4280, 1864, 547, 7119, 538, 519, 6216, 1007, 670, 17920, 5027, 5741, 269, 18833, 875, 1271, 1250, 1382, 729, 547, 519, 1920, 646, 5612, 8815, 269, 4935, 1250, 4651, 2968, 519, 1101, 16045, 538, 713, 1788, 269, 5221, 5027, 2257, 729, 538, 922, 26638, 594, 1500, 513, 8990, 547, 4894, 1346, 2164, 689, 519, 1788, 1079, 610, 1614, 1296, 3516, 2394, 930, 5033, 4565, 766, 540, 6876, 1223, 581, 1336, 1851, 1346, 3695, 713, 1007, 1271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19227, 649, 1058, 2132, 7301, 692, 825, 1948, 12861, 938, 2318, 1505, 799, 11974, 952, 513, 1297, 568, 2318, 610, 711, 454, 825, 1219, 2318, 4311, 267, 1130, 272, 2187, 1038, 952, 1130, 272, 3436, 476, 271, 912, 2018, 2132, 6936, 476, 1948, 1403, 621, 568, 2318, 1287, 649, 1058, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 476, 1948, 1403, 621, 568, 2942, 1287, 649, 1058, 2132, 8771, 454, 0, 18851, 11328, 1998, 8624, 3005, 630, 13232, 3410, 1966, 267, 595, 3041, 476, 21076, 264, 20701, 5228, 17511, 1104, 5903, 692, 5035, 3955, 1998, 912, 825, 5727, 288, 6806, 8884, 540, 9981, 3568, 922, 1439, 2798, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 3808, 318, 869, 281, 703, 267, 3808, 318, 14683, 281, 703, 2187, 1038, 1582, 269, 869, 815, 3808, 318, 869, 454, 1038, 1582, 269, 14683, 815, 3808, 318, 14683, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 11328, 1998, 20719, 1345, 269, 869, 9574, 2715, 1345, 269, 14683, 16585, 5016, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 314, 346, 1345, 269, 869, 9574, 2715, 1345, 269, 14683, 348, 316, 5016, 825, 1219, 3568, 4311, 267, 1775, 281, 703, 264, 9847, 536, 944, 912, 1038, 5727, 10267, 4242, 952, 1775, 568, 1369, 519, 23451, 540, 519, 8884, 12163, 1038, 952, 630, 328, 13843, 1582, 269, 869, 264, 543, 630, 328, 10922, 1582, 269, 14683, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 7531, 5035, 3955, 1998, 8624, 3005, 912, 825, 5727, 310, 571, 1186, 513, 1592, 540, 6806, 11996, 12163, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 281, 5903, 314, 11328, 1998, 316, 476, 815, 1496, 476, 6540, 825, 1219, 16289, 4311, 267, 8884, 281, 3955, 1998, 2187, 1038, 5727, 11754, 8884, 547, 519, 1592, 540, 11996, 12163, 1038, 1582, 29096, 6910, 263, 5793, 1998, 2020, 825, 1219, 3568, 4311, 267, 1775, 281, 703, 264, 9847, 536, 944, 912, 1038, 5727, 12148, 952, 1022, 8884, 3568, 1775, 12163, 1038, 585, 795, 538, 2039, 12759, 4311, 29096, 15892, 2018, 952, 1582, 29096, 14728, 4940, 935, 13935, 9217, 2187, 3546, 2132, 6936, 454, 1038, 2132, 8771, 7531, 0, 12163, 24248, 476, 274, 910, 23426, 274, 291, 692, 12041, 281, 715, 622, 918, 5255, 454, 12163, 5228, 2979, 1104, 14039, 692, 5035, 23426, 274, 291, 1384, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 8253, 8045, 585, 7493, 1362, 15419, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 8253, 8045, 585, 7493, 1362, 15419, 825, 1219, 1820, 318, 16769, 4311, 2187, 1038, 1820, 6600, 257, 22704, 281, 2715, 1345, 269, 19327, 3890, 348, 11730, 281, 2715, 1345, 269, 14179, 2541, 3890, 348, 15419, 5035, 595, 2643, 5407, 263, 4537, 1901, 274, 291, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 281, 10581, 267, 4463, 281, 10581, 2187, 1038, 1582, 269, 31709, 815, 8953, 454, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 2132, 14039, 2608, 630, 1345, 269, 31709, 2878, 476, 273, 264, 2608, 1582, 269, 19417, 692, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 2132, 476, 273, 2608, 14039, 2608, 630, 1345, 269, 31709, 2878, 476, 273, 264, 1341, 476, 273, 2608, 14039, 2608, 1582, 269, 31709, 2608, 1582, 269, 19417, 692, 5035, 10699, 1355, 263, 4537, 1901, 274, 291, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 10581, 267, 3259, 281, 10581, 267, 4463, 281, 10581, 2187, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 32324, 815, 3259, 454, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 2132, 1582, 9884, 5954, 2608, 1582, 32324, 2608, 1582, 269, 19417, 692, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 2132, 476, 273, 2608, 1582, 9884, 5954, 2608, 1582, 32324, 1341, 476, 273, 2608, 1582, 9884, 5954, 2608, 1582, 269, 19417, 1341, 476, 273, 2608, 1582, 32324, 2608, 1582, 269, 19417, 692, 5035, 28116, 18154, 889, 1355, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 10581, 2187, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 8700, 454, 1038, 1582, 32324, 815, 8700, 7531, 1097, 331, 815, 595, 2643, 5407, 263, 274, 267, 476, 276, 994, 31957, 1355, 815, 10699, 1355, 263, 277, 267, 275, 267, 280, 994, 331, 560, 815, 1496, 290, 4209, 263, 274, 1070, 8927, 267, 7750, 1355, 2639, 1721, 3337, 538, 32102, 912, 825, 3337, 31428, 318, 16769, 10797, 8931, 0, 310, 531, 4777, 815, 1412, 310, 7055, 8448, 815, 1412, 9538, 692, 3698, 782, 32284, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9343, 538, 519, 5119, 267, 9546, 4777, 568, 538, 930, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 952, 9546, 4777, 711, 538, 4737, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 782, 22674, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9587, 538, 519, 5119, 267, 9546, 4777, 568, 538, 930, 4737, 12163, 825, 897, 4671, 4902, 815, 476, 271, 454, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 9546, 4777, 2652, 4015, 314, 992, 6012, 3712, 14158, 3546, 897, 4671, 4902, 6834, 476, 272, 454, 3546, 2736, 454, 825, 952, 897, 4671, 4902, 2652, 7003, 263, 3712, 3005, 314, 271, 316, 2187, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 782, 32284, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9343, 538, 519, 5119, 267, 9546, 4777, 568, 538, 1169, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 585, 897, 538, 4737, 912, 2018, 952, 897, 11203, 9546, 4777, 912, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 782, 22674, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 519, 9587, 538, 519, 5119, 267, 9546, 4777, 568, 538, 1169, 4737, 12163, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 11203, 9546, 4777, 912, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 6818, 32284, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 4737, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 1169, 6241, 12163, 825, 952, 630, 6352, 263, 3712, 3005, 264, 3436, 476, 271, 264, 543, 7003, 263, 3712, 3005, 314, 271, 8079, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 1038, 4737, 4671, 4902, 815, 476, 271, 454, 1038, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 992, 8079, 2187, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 4737, 4671, 4902, 6834, 476, 272, 454, 2018, 952, 4737, 4671, 4902, 2652, 7003, 263, 3712, 3005, 314, 271, 316, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 6818, 22674, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 6241, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 1169, 4737, 12163, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 897, 4671, 4902, 815, 476, 271, 454, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 897, 4671, 4902, 6834, 476, 272, 454, 2018, 952, 897, 4671, 4902, 2652, 7003, 263, 3712, 3005, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 6818, 32284, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 4737, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 930, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 585, 897, 538, 4737, 912, 2018, 952, 897, 2652, 9546, 4777, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 8931, 3698, 6818, 22674, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 6241, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 930, 4737, 12163, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 0, 12163, 301, 622, 918, 5255, 454, 290, 3041, 476, 21076, 454, 24248, 476, 275, 454, 20701, 5228, 17511, 1104, 5903, 692, 5035, 19219, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 2040, 4311, 2187, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 11764, 711, 2943, 8045, 1590, 1711, 538, 6405, 1362, 15419, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 27841, 348, 5016, 5035, 18378, 263, 11966, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 267, 2451, 281, 5903, 314, 11966, 3910, 1318, 281, 5903, 314, 11966, 316, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 692, 825, 1219, 2040, 4311, 264, 9847, 703, 912, 1038, 2698, 815, 476, 271, 454, 1038, 952, 568, 27349, 4311, 16000, 267, 1592, 2187, 2018, 585, 6843, 538, 1582, 16000, 912, 3546, 2698, 6834, 6843, 27904, 4590, 1038, 3116, 912, 2018, 2698, 6834, 1582, 16000, 27904, 4590, 1038, 952, 568, 27349, 4311, 16192, 267, 1592, 2187, 2018, 585, 6843, 538, 1582, 16192, 912, 3546, 2698, 6834, 6843, 27904, 4590, 1038, 3116, 912, 2018, 2698, 6834, 1582, 16192, 27904, 4590, 1038, 2698, 6834, 1582, 27841, 454, 1038, 2132, 2698, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 5569, 815, 535, 257, 283, 346, 1345, 27841, 9574, 2715, 1345, 16000, 14857, 1598, 1029, 3890, 9574, 2715, 1345, 16192, 14857, 1598, 1029, 3890, 348, 285, 4840, 1038, 2132, 5569, 692, 5035, 23516, 263, 11966, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 2040, 4311, 264, 9847, 703, 912, 1038, 2132, 1582, 27841, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 346, 1345, 27841, 348, 5016, 3698, 1292, 10031, 825, 561, 272, 815, 23516, 263, 274, 994, 825, 561, 273, 815, 23516, 263, 277, 994, 825, 561, 274, 815, 23516, 263, 280, 994, 825, 1775, 815, 18378, 263, 278, 267, 561, 273, 267, 561, 274, 994, 825, 3597, 815, 18378, 263, 276, 267, 561, 272, 267, 1775, 994, 825, 1820, 20172, 27904, 15405, 825, 1820, 20172, 994, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 3339, 1125, 11583, 2187, 825, 1797, 815, 5286, 32557, 11583, 267, 7852, 284, 272, 994, 825, 31901, 318, 22563, 815, 5286, 14714, 323, 11583, 267, 7852, 284, 272, 994, 825, 2473, 815, 630, 311, 910, 1611, 264, 1315, 31901, 318, 22563, 7531, 3698, 3339, 318, 3225, 566, 11583, 267, 586, 2187, 825, 2473, 4671, 815, 5286, 6745, 4920, 2821, 11583, 994, 825, 23940, 815, 5286, 7456, 1400, 326, 23357, 341, 11583, 4671, 31715, 11583, 4917, 825, 23940, 815, 23940, 31715, 11583, 4671, 994, 825, 23940, 815, 23940, 31715, 12169, 994, 825, 2132, 23940, 7531, 3698, 1942, 11583, 267, 586, 267, 23940, 267, 23758, 323, 284, 271, 269, 271, 2187, 825, 544, 815, 7003, 12169, 994, 825, 886, 815, 2473, 31715, 263, 9064, 264, 910, 586, 454, 825, 2040, 815, 5286, 269, 3901, 332, 592, 18828, 6745, 4920, 2821, 5560, 858, 1070, 886, 994, 825, 808, 815, 476, 272, 14370, 273, 265, 332, 12684, 8999, 1948, 1341, 23758, 323, 14370, 273, 265, 332, 12684, 12639, 27904, 18828, 4732, 13645, 263, 9064, 4917, 825, 1948, 2745, 3488 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20657, 2711, 2891, 8379, 8442, 2652, 476, 15886, 267, 834, 1410, 4624, 1871, 585, 22558, 568, 476, 15886, 4840, 16386, 19005, 273, 20657, 2711, 2891, 11085, 8442, 2652, 476, 1911, 272, 267, 834, 1410, 4624, 1871, 585, 24696, 568, 476, 1911, 272, 4840, 16386, 19005, 273, 20657, 2711, 2891, 21197, 8442, 2652, 476, 280, 267, 834, 1410, 4624, 1871, 585, 26577, 568, 476, 280, 4840, 16386, 19005, 273, 20657, 2711, 2891, 7374, 291, 8442, 2652, 476, 12010, 267, 834, 1410, 4624, 1871, 585, 7131, 291, 568, 476, 12010, 5016, 16386, 8918, 273, 668, 534, 263, 272, 264, 2652, 834, 296, 2580, 834, 1410, 4624, 1871, 585, 476, 272, 568, 594, 4840, 16386, 8918, 273, 668, 534, 263, 275, 264, 2652, 834, 4353, 2580, 834, 1410, 4624, 1871, 585, 476, 275, 568, 10001, 4840, 16386, 8918, 273, 668, 534, 263, 276, 264, 2652, 834, 309, 2580, 834, 1410, 4624, 1871, 585, 476, 276, 568, 966, 4840, 16386, 8918, 273, 668, 534, 263, 280, 264, 2652, 834, 21197, 2580, 834, 1410, 4624, 1871, 585, 476, 280, 568, 26577, 4840, 16386, 8918, 273, 668, 534, 263, 1015, 264, 2652, 834, 311, 2580, 834, 1410, 4624, 1871, 585, 476, 1015, 568, 2473, 4840, 16386, 8918, 273, 668, 534, 263, 2412, 264, 2652, 834, 311, 299, 2580, 834, 1410, 4624, 1871, 585, 476, 2412, 568, 2473, 299, 4840, 16386, 8918, 273, 668, 534, 263, 2004, 264, 2652, 834, 299, 2580, 834, 1410, 4624, 1871, 585, 476, 2004, 568, 700, 4840, 16386, 8918, 273, 668, 534, 263, 3445, 264, 2652, 834, 311, 290, 2580, 834, 1410, 4624, 1871, 585, 476, 3445, 568, 2473, 290, 4840, 16386, 8918, 273, 668, 534, 263, 1911, 264, 2652, 834, 290, 2580, 834, 1410, 4624, 1871, 585, 476, 1911, 568, 595, 4840, 16386, 8918, 273, 668, 534, 263, 6110, 264, 2652, 834, 7374, 2580, 834, 1410, 4624, 1871, 585, 476, 6110, 568, 7131, 4840, 16386, 8918, 273, 668, 534, 263, 4335, 264, 2652, 834, 291, 2580, 834, 1410, 4624, 1871, 585, 476, 4335, 568, 667, 4840, 16386, 8918, 273, 668, 534, 263, 12010, 264, 2652, 834, 13967, 2580, 834, 1410, 4624, 1871, 585, 476, 12010, 568, 18328, 4840, 16386, 8918, 273, 668, 534, 263, 1911, 271, 264, 2652, 834, 300, 2580, 834, 1410, 4624, 1871, 585, 476, 1911, 271, 568, 631, 5016, 11687, 815, 2715, 4200, 281, 834, 311, 5746, 311, 2580, 476, 5655, 281, 834, 311, 299, 2862, 2580, 476, 3953, 281, 834, 18958, 311, 2862, 2580, 476, 1001, 273, 281, 834, 12613, 311, 2862, 2580, 476, 2735, 272, 281, 834, 10157, 7876, 18958, 311, 296, 257, 8679, 1721, 512, 538, 1449, 912, 825, 521, 815, 834, 1410, 4624, 1871, 585, 834, 1341, 1193, 6025, 264, 1341, 834, 568, 834, 1341, 1449, 314, 339, 2639, 825, 7682, 8918, 273, 668, 534, 6025, 264, 2652, 1449, 314, 339, 3910, 521, 692, 1721, 562, 538, 2039, 263, 272, 267, 476, 4335, 271, 2187, 825, 521, 815, 834, 684, 788, 624, 539, 7503, 585, 834, 1341, 1193, 3799, 994, 825, 7682, 562, 2652, 19005, 273, 20657, 2711, 263, 20657, 2711, 273, 668, 534, 3799, 24270, 521, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 31764, 305, 684, 16216, 17526, 8660, 994, 0, 18851, 19370, 476, 5379, 454, 736, 4873, 476, 1220, 274, 692, 2005, 729, 6069, 676, 4168, 7108, 22138, 602, 1169, 9642, 12432, 1297, 454, 4754, 581, 2854, 607, 519, 2040, 540, 513, 6305, 543, 7466, 513, 4009, 780, 280, 815, 476, 278, 1341, 476, 273, 265, 272, 11054, 454, 1428, 815, 476, 278, 1341, 476, 273, 265, 273, 11054, 454, 2641, 815, 476, 274, 1341, 476, 273, 265, 274, 11054, 454, 1839, 815, 476, 278, 1341, 476, 273, 265, 274, 11054, 454, 2767, 815, 476, 866, 1341, 476, 273, 265, 273, 11054, 454, 3451, 815, 476, 4029, 1341, 476, 273, 265, 272, 11054, 692, 2005, 7140, 856, 602, 519, 28756, 675, 729, 7301, 780, 1432, 568, 519, 10545, 9642, 12432, 602, 3112, 581, 2854, 607, 519, 2040, 454, 1993, 513, 6305, 543, 7466, 513, 4009, 888, 20701, 5228, 552, 17526, 12221, 1104, 568, 28269, 267, 31764, 305, 684, 454, 5814, 2979, 692, 3698, 552, 17526, 5379, 10031, 825, 5727, 24169, 1966, 476, 5379, 689, 5741, 25586, 27969, 454, 825, 22136, 815, 1496, 273, 267, 2639, 825, 562, 815, 476, 274, 454, 825, 1247, 630, 12148, 2187, 1038, 952, 568, 28269, 3799, 2187, 2018, 22136, 6910, 3799, 994, 1038, 3116, 912, 2018, 568, 20112, 22138, 815, 8771, 454, 2018, 1948, 8347, 547, 31693, 519, 1297, 2687, 547, 4542, 454, 2018, 1948, 562, 815, 6305, 1341, 476, 273, 343, 11054, 454, 2018, 1948, 562, 910, 6305, 815, 476, 273, 343, 11054, 454, 2018, 1948, 630, 333, 910, 6305, 8358, 273, 815, 1535, 11054, 454, 2018, 1948, 21762, 9230, 333, 910, 6305, 8358, 273, 264, 815, 1535, 454, 2018, 585, 6305, 538, 22136, 912, 3546, 1535, 815, 2979, 28460, 9230, 333, 910, 6305, 8358, 273, 994, 3546, 952, 1535, 2652, 2979, 269, 28776, 3287, 2187, 7386, 1948, 952, 1535, 568, 606, 8870, 1297, 267, 562, 568, 513, 4570, 12432, 454, 7386, 568, 20112, 22138, 815, 6936, 454, 7386, 2736, 454, 2018, 952, 711, 568, 20112, 22138, 912, 3546, 1820, 2891, 293, 5661, 7108, 22138, 815, 2580, 562, 994, 3546, 2736, 454, 1038, 562, 6834, 476, 273, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 31764, 305, 684, 16216, 17526, 5379, 994, 0, 12163, 5825, 720, 1384, 3519, 3200, 24701, 23064, 6119, 883, 26417, 454, 7090, 1535, 6447, 15461, 32269, 18258, 4534, 343, 6447, 24786, 284, 283, 303, 26059, 9215, 4888, 27237, 25972, 285, 4534, 322, 12364, 318, 16059, 284, 283, 5495, 9143, 7473, 674, 11223, 715, 28719, 285, 692, 9377, 5435, 338, 912, 734, 343, 6447, 24786, 281, 14391, 725, 13045, 734, 322, 12364, 318, 16059, 281, 14391, 725, 27406, 454, 20701, 5814, 15259, 454, 5814, 5895, 454, 5814, 21795, 607, 19073, 454, 5814, 1535, 6447, 269, 564, 872, 9950, 2211, 21698, 607, 21180, 454, 5814, 2415, 27785, 692, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 31088, 930, 9981, 9538, 2020, 335, 32242, 14491, 318, 30348, 3488, 734, 343, 6447, 24786, 22779, 7386, 948, 8782, 2304, 2254, 566, 30615, 5627, 782, 1535, 6447, 6119, 22779, 7386, 9949, 6889, 534, 2254, 725, 270, 5602, 335, 32242, 14491, 318, 30348, 3488, 734, 322, 12364, 318, 16059, 22779, 7386, 948, 8782, 11243, 540, 3977, 26417, 3758, 22779, 7386, 9949, 6889, 534, 2254, 725, 27406, 15419, 16911, 815, 16163, 518, 269, 27785, 318, 16911, 30800, 3698, 1535, 6447, 15461, 32269, 9638, 987, 2187, 825, 1535, 6447, 8217, 815, 11713, 825, 585, 1535, 6447, 18316, 538, 5895, 3052, 331, 984, 9638, 987, 1341, 23367, 29688, 343, 6447, 262, 2187, 1038, 3529, 815, 21180, 269, 27785, 3287, 6447, 18316, 994, 1038, 3597, 815, 3529, 10947, 10174, 4590, 1038, 585, 4759, 538, 3597, 26098, 718, 3488, 15953, 262, 2187, 2018, 1871, 815, 27210, 3546, 3597, 26098, 3488, 16344, 17575, 262, 1040, 3667, 2676, 3546, 703, 20172, 26098, 3488, 21653, 10807, 314, 271, 4940, 3667, 13211, 3546, 703, 20172, 26098, 3488, 21653, 10807, 314, 272, 4940, 3667, 13211, 3546, 4759, 314, 271, 4940, 3667, 2676, 3546, 703, 9852, 1897, 314, 276, 6012, 271, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 272, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 273, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 274, 4940, 3667, 994, 2018, 12467, 2018, 1535, 6447, 8217, 6910, 263, 7407, 994, 825, 6241, 12173, 815, 18358, 16344, 17575, 3299, 1412, 12296, 3299, 1412, 19417, 3299, 1412, 5035, 22779, 4449, 567, 1412, 343, 2381, 3299, 1412, 2096, 514, 3299, 1412, 343, 10946, 3299, 1412, 2096, 1314, 23300, 825, 1535, 6447, 32470, 815, 19073, 6185, 1092, 20988, 3287, 6447, 8217, 267, 9587, 284, 26383, 12173, 994, 825, 2132, 1535, 6447, 32470, 7531, 3698, 1292, 10031, 825, 3239, 24786, 815, 15259, 29624, 12459, 7765, 263, 657, 10947, 322, 23424, 19572, 26571, 11859, 6447, 24786, 994, 825, 1820, 2891, 20091, 1535, 6447, 689, 17835, 15079, 2668, 8971, 263, 16911, 11859, 6447, 24786, 4917, 825, 1535, 6447, 32470, 815, 1535, 6447, 15461, 32269, 263, 13548, 24786, 994, 825, 1535, 6447, 32470, 30419, 32269, 263, 16911, 27406, 318, 16059, 267, 4994, 25716, 994, 825, 1820, 3488, 306, 15471, 2685, 10736, 1535, 6447, 547, 26417, 9538, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 333, 815, 703, 9272, 3488, 291, 830, 796, 562, 14243, 1067, 334, 281, 29125, 328, 815, 476, 272, 454, 6112, 1775, 1262, 273, 10922, 562, 912, 476, 1820, 9217, 1262, 273, 994, 476, 1775, 815, 1775, 266, 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 ]
[ 0, 19226, 302, 1186, 267, 513, 2165, 602, 10905, 968, 21129, 2574, 892, 543, 968, 6016, 725, 2223, 4016, 547, 519, 2259, 540, 1210, 2029, 543, 2883, 6791, 547, 11126, 2883, 4238, 269, 898, 6770, 1927, 1585, 10459, 267, 1519, 8804, 267, 8668, 267, 543, 1870, 267, 547, 20928, 2883, 3157, 267, 2087, 11413, 267, 543, 2569, 3790, 563, 4415, 519, 2810, 16126, 593, 3059, 4066, 543, 6531, 2861, 2533, 267, 5685, 302, 1186, 568, 4742, 606, 1898, 2259, 585, 3906, 3168, 547, 4383, 741, 2883, 4238, 3927, 563, 763, 3395, 2956, 540, 5685, 302, 1186, 9356, 519, 991, 585, 4213, 547, 3082, 547, 4657, 2344, 2175, 543, 3251, 8013, 538, 513, 6385, 9687, 1870, 5251, 563, 763, 2640, 540, 5685, 302, 1186, 1331, 1942, 15287, 267, 1942, 11938, 267, 6578, 2359, 267, 4199, 14305, 267, 2883, 12477, 267, 543, 4824, 2883, 10350, 267, 3056, 547, 811, 3608, 543, 1942, 15807, 6531, 4238, 563, 19226, 302, 1186, 6908, 6050, 2883, 3157, 267, 4611, 538, 3152, 4398, 543, 4389, 3790, 563, 19226, 302, 1186, 10607, 2883, 11413, 267, 7175, 5483, 3664, 563, 18719, 1386, 1981, 2359, 454, 19226, 302, 1186, 10607, 2883, 1981, 2359, 609, 2038, 1981, 7020, 543, 3152, 15287, 563, 25363, 13586, 5685, 302, 1186, 2853, 666, 2709, 1713, 2640, 585, 4213, 267, 855, 972, 616, 849, 2591, 547, 2015, 269, 2290, 540, 519, 7887, 2591, 568, 10128, 5685, 302, 1186, 2853, 883, 4540, 2883, 3157, 543, 32262, 267, 2523, 538, 1804, 3906, 269, 901, 666, 2154, 2242, 547, 10721, 3889, 267, 3157, 267, 543, 2528, 267, 799, 666, 581, 2352, 543, 942, 21791, 563, 12234, 267, 972, 949, 581, 513, 3668, 540, 4656, 610, 1620, 827, 519, 2640, 540, 5685, 302, 1186, 267, 799, 666, 1118, 621, 2352, 547, 2744, 4444, 2987, 689, 8639, 269, 7053, 267, 972, 949, 581, 2930, 2591, 538, 7598, 5685, 302, 1186, 2853, 267, 2523, 585, 3906, 609, 9371, 1949, 610, 3908, 2200, 563, 18204, 7992, 5685, 302, 1186, 2853, 883, 4540, 2883, 3157, 543, 32262, 454, 294, 8724, 30393, 4444, 2987, 543, 20408, 4187, 547, 1689, 454, 20007, 673, 2591, 538, 7598, 5685, 302, 1186, 585, 9371, 1949, 610, 3908, 2200, 269, 0, 293, 23459, 6500, 585, 11676, 828, 454, 305, 889, 828, 18168, 9247, 2874, 540, 21193, 4088, 630, 301, 1070, 1912, 6664, 5387, 630, 303, 1070, 8000, 9914, 630, 298, 264, 543, 13804, 10901, 630, 300, 326, 1916, 4322, 13226, 23399, 616, 19040, 2687, 547, 741, 3490, 267, 772, 16699, 543, 590, 17139, 622, 540, 2549, 3000, 807, 563, 763, 12285, 3395, 11934, 540, 16444, 20092, 616, 5258, 883, 1614, 2516, 563, 305, 889, 828, 674, 23459, 6500, 631, 4869, 999, 454, 347, 3383, 559, 10022, 1475, 18850, 2774, 270, 16323, 1475, 293, 23459, 6500, 631, 4869, 675, 2008, 347, 301, 2720, 2044, 12518, 1475, 293, 1752, 12518, 1475, 631, 1155, 2371, 454, 263, 4407, 512, 11474, 593, 20424, 13626, 994, 347, 27026, 594, 1475, 918, 1122, 4150, 267, 27956, 684, 1122, 8403, 543, 454, 31340, 308, 476, 1428, 281, 476, 1428, 281, 476, 5881, 2008, 347, 27026, 4083, 1475, 12385, 1446, 1475, 305, 476, 1321, 281, 476, 1691, 281, 476, 1691, 2008, 347, 27026, 8633, 1475, 17833, 583, 4673, 267, 13158, 333, 777, 3120, 267, 717, 4150, 2676, 13510, 1170, 1177, 7578, 267, 14068, 1638, 320, 543, 454, 31340, 476, 1321, 281, 476, 1691, 281, 476, 1691, 347, 0, 32391, 5786, 1851, 3075, 3755, 454, 5825, 619, 540, 7630, 532, 267, 31067, 610, 10991, 5061, 616, 3810, 12790, 267, 1256, 538, 1072, 1416, 5468, 267, 543, 616, 835, 540, 519, 1883, 2551, 2516, 6098, 676, 519, 6820, 8750, 269, 634, 476, 276, 260, 19541, 23594, 3102, 1416, 543, 1489, 585, 891, 2516, 538, 4639, 4000, 543, 14913, 5607, 563, 4537, 2130, 19271, 267, 1210, 796, 3122, 28895, 3937, 267, 19408, 4638, 2623, 616, 5458, 2188, 3297, 519, 3262, 540, 7486, 543, 17537, 595, 630, 18449, 309, 264, 1851, 3075, 3755, 269, 1677, 2569, 6771, 540, 891, 8290, 1851, 713, 2551, 1895, 267, 2564, 543, 1514, 1416, 267, 543, 2800, 5786, 4507, 1590, 1491, 9551, 775, 936, 7803, 1436, 563, 303, 6020, 3036, 296, 2316, 313, 5058, 631, 19075, 6730, 28217, 309, 2894, 20937, 6673, 24165, 21815, 2464, 454, 1103, 1931, 547, 5000, 14223, 585, 519, 10014, 540, 3075, 3755, 538, 3084, 1857, 1072, 3609, 267, 3395, 1489, 540, 6608, 585, 891, 15324, 4485, 568, 1898, 538, 519, 4339, 1996, 3868, 762, 3676, 269, 1284, 2508, 1808, 3785, 547, 1489, 971, 513, 4640, 267, 12077, 14123, 1569, 547, 2973, 861, 2590, 525, 543, 23776, 18839, 5574, 563, 301, 11246, 19010, 308, 14899, 11553, 2464, 7728, 21832, 8863, 17920, 2894, 294, 2464, 454, 1103, 2487, 1296, 267, 519, 946, 540, 31067, 5061, 971, 607, 11523, 543, 5869, 514, 814, 1044, 2810, 538, 4639, 4000, 1247, 10991, 3075, 946, 568, 10825, 1851, 1762, 1004, 538, 14913, 5607, 269, 1452, 5061, 616, 10057, 3226, 676, 2021, 543, 10708, 945, 723, 1044, 26173, 538, 2800, 5786, 3292, 543, 9584, 2533, 269, 634, 11944, 540, 891, 1007, 2409, 540, 4616, 3340, 7459, 547, 581, 9862, 267, 543, 21630, 1416, 3177, 269, 20305, 540, 31067, 5061, 616, 1360, 7925, 547, 21061, 267, 1247, 1762, 3755, 540, 10991, 5061, 616, 3226, 6534, 547, 7486, 998, 19408, 4638, 2623, 563, 5978, 4891, 538, 10476, 281, 519, 4741, 585, 25417, 7991, 4886, 9024, 328, 2510, 630, 306, 7374, 296, 264, 910, 13389, 1762, 3075, 3755, 454, 763, 834, 306, 3058, 519, 2104, 257, 1788, 267, 8045, 676, 519, 15726, 302, 267, 4741, 585, 25417, 7991, 4886, 9024, 328, 2510, 10476, 630, 306, 7374, 296, 1070, 568, 4543, 547, 6318, 4656, 1851, 1762, 3075, 3755, 540, 19408, 5615, 267, 2523, 4638, 2853, 269, 634, 476, 276, 260, 19541, 14102, 713, 5499, 1982, 607, 851, 540, 513, 1289, 585, 3785, 538, 476, 1001, 276, 563, 268, 4855, 856, 519, 2156, 577, 675, 834, 22512, 543, 5574, 585, 1004, 945, 946, 5061, 257, 0, 20684, 9517, 281, 667, 268, 2420, 268, 1822, 4029, 454, 763, 6859, 540, 713, 1353, 941, 547, 13182, 2242, 538, 15837, 16321, 1297, 543, 2597, 896, 20296, 7648, 538, 513, 3579, 3148, 538, 3567, 269, 1284, 11567, 15837, 2208, 936, 513, 476, 274, 4458, 1974, 689, 476, 1001, 280, 267, 9591, 13602, 609, 1114, 9544, 2053, 543, 15657, 2010, 269, 769, 476, 1708, 271, 267, 2038, 9544, 11402, 3819, 1145, 1282, 519, 16321, 5250, 1974, 1310, 17708, 1154, 267, 799, 3648, 4389, 16321, 2338, 269, 18323, 729, 4857, 607, 519, 1292, 3815, 7700, 547, 519, 5993, 8390, 538, 15837, 6556, 267, 7361, 1813, 547, 29099, 1164, 5210, 1282, 519, 1353, 1974, 269, 769, 476, 1708, 272, 267, 3905, 543, 3819, 2175, 538, 2038, 4832, 630, 13232, 547, 3735, 5147, 264, 5330, 539, 547, 519, 16321, 4439, 6362, 1974, 543, 4389, 519, 6556, 19962, 547, 1769, 16321, 2597, 7488, 540, 519, 9544, 942, 543, 3099, 269, 634, 1459, 1353, 3177, 4030, 883, 519, 13260, 540, 6556, 3334, 538, 15837, 676, 2519, 593, 10980, 2360, 267, 4365, 267, 543, 14713, 2188, 267, 799, 4268, 15186, 269, 0, 6546, 2441, 729, 10567, 676, 519, 27584, 2643, 543, 5164, 326, 559, 454, 275, 628, 9460, 547, 476, 276, 628, 9460, 454, 17138, 540, 960, 912, 302, 1674, 540, 4790, 14932, 454, 21292, 538, 519, 3312, 1893, 912, 763, 15122, 17161, 538, 2296, 912, 9827, 1634, 811, 4628, 607, 519, 744, 1674, 540, 4790, 14932, 547, 519, 13909, 540, 519, 29513, 267, 519, 4633, 689, 799, 713, 1349, 568, 3144, 568, 8659, 1369, 519, 22251, 2059, 609, 661, 2224, 321, 3780, 779, 4583, 3443, 1122, 344, 878, 267, 519, 5020, 540, 4790, 14932, 269, 1717, 267, 607, 649, 786, 1294, 2630, 267, 519, 2278, 540, 519, 744, 1674, 568, 23503, 269, 634, 2278, 5638, 1018, 646, 6811, 547, 581, 519, 17169, 779, 1913, 267, 9447, 538, 5824, 543, 1098, 8282, 676, 606, 3705, 614, 883, 5259, 267, 538, 1931, 602, 646, 1522, 1683, 1489, 585, 519, 21981, 799, 646, 3947, 607, 547, 519, 17169, 779, 30493, 630, 16908, 540, 4790, 14932, 10001, 269, 3953, 1040, 634, 4633, 5161, 540, 8938, 29350, 11271, 540, 1018, 670, 269, 19537, 651, 2474, 968, 16647, 6138, 892, 538, 799, 519, 2278, 1219, 1742, 8567, 543, 862, 1742, 14039, 1214, 12462, 22296, 2248, 687, 540, 11261, 2223, 533, 269, 476, 28178, 1040, 4706, 13597, 814, 6923, 1044, 20402, 267, 855, 1082, 5640, 723, 1044, 8348, 547, 3398, 621, 607, 22992, 519, 960, 540, 4790, 14932, 267, 1519, 811, 5063, 589, 591, 559, 23759, 517, 543, 26573, 8065, 630, 16908, 540, 4790, 14932, 267, 533, 269, 476, 3393, 1040, 681, 269, 17713, 517, 11099, 621, 3592, 6157, 711, 547, 581, 519, 960, 540, 4790, 14932, 267, 855, 13187, 602, 930, 2934, 798, 711, 2408, 547, 581, 661, 2224, 15487, 2901, 267, 971, 607, 519, 1419, 22394, 13400, 26159, 269, 1261, 5267, 513, 4266, 1282, 610, 5612, 1310, 30486, 519, 24347, 622, 779, 12081, 267, 950, 10271, 5433, 519, 991, 547, 4323, 25384, 1143, 267, 543, 4967, 519, 16726, 538, 2511, 1063, 519, 2278, 540, 519, 744, 1674, 543, 519, 4550, 1790, 12298, 12591, 540, 23172, 984, 3780, 543, 661, 2224, 321, 3780, 12462, 3036, 288, 2316, 302, 5084, 590, 3198, 6311, 5308, 2223, 533, 269, 476, 31746, 268, 2004, 277, 267, 476, 276, 1556, 282, 4244, 569, 267, 1294, 589, 269, 670, 269, 631, 269, 13643, 543, 570, 269, 595, 269, 28024, 520, 267, 968, 24687, 593, 519, 2637, 340, 514, 8864, 2223, 543, 670, 269, 667, 23152, 1845, 267, 30605, 17286, 321, 560, 2763, 1872, 23036, 267, 533, 269, 476, 15704, 268, 14065, 1916, 1103, 1931, 547, 13865, 1047, 519, 1459, 8574, 267, 649, 1590, 1101, 13713, 2491, 1018, 5612, 9551, 525, 621, 269, 769, 3184, 2473, 309, 7656, 519, 2278, 814, 11855, 513, 6648, 11911, 547, 519, 661, 787, 628, 571, 6756, 27584, 2643, 799, 646, 6811, 2934, 606, 1035, 549, 10973, 13288, 547, 519, 2470, 543, 6612, 540, 2441, 267, 2542, 968, 27716, 2441, 267, 12312, 540, 2696, 267, 14205, 21831, 267, 9061, 892, 630, 1721, 513, 5618, 4367, 547, 519, 27584, 22690, 710, 2245, 267, 799, 729, 519, 1587, 540, 3586, 2699, 9146, 267, 5368, 3685, 543, 3261, 566, 676, 1114, 2516, 267, 1294, 519, 16555, 593, 27584, 22690, 710, 744, 571, 3380, 594, 269, 4343, 278, 268, 6110, 1040, 634, 27584, 2643, 267, 938, 2278, 2829, 267, 729, 4904, 609, 10143, 6667, 689, 2696, 267, 543, 607, 971, 1590, 581, 9006, 23306, 607, 513, 25552, 543, 6074, 6077, 602, 814, 10299, 2441, 779, 3483, 269, 901, 1035, 549, 10973, 568, 10169, 16609, 538, 602, 32587, 656, 3780, 267, 945, 1419, 10530, 519, 27584, 22690, 710, 744, 571, 3380, 267, 1281, 711, 1118, 4704, 547, 621, 269, 21452, 267, 27596, 1281, 1118, 2446, 540, 621, 538, 5824, 8144, 538, 1010, 4975, 540, 2696, 2473, 309, 7656, 269, 2537, 269, 901, 8545, 2278, 1281, 711, 3100, 547, 581, 3222, 540, 519, 2262, 588, 879, 4592, 630, 29589, 264, 693, 519, 1439, 267, 2705, 269, 901, 1249, 814, 3366, 930, 5640, 547, 8044, 602, 519, 744, 1674, 4061, 1590, 723, 1044, 7768, 2663, 982, 27596, 779, 942, 269, 1280, 17713, 517, 267, 713, 568, 606, 11991, 3932, 267, 18445, 1152, 602, 27596, 779, 5299, 1705, 711, 723, 713, 3296, 269, 11569, 267, 938, 12215, 540, 27584, 22690, 710, 26057, 24163, 267, 1141, 519, 6648, 5526, 267, 543, 799, 568, 711, 528, 13124, 2352, 547, 4266, 267, 1281, 538, 1249, 1331, 519, 2262, 588, 879, 4592, 12462, 3036, 288, 2316, 302, 5084, 590, 3198, 6311, 5308, 2223, 533, 269, 476, 2004, 278, 1916, 1103, 519, 1459, 3184, 267, 519, 2278, 5956, 676, 1201, 5024, 519, 3409, 15151, 1500, 676, 930, 602, 513, 4168, 5432, 609, 5824, 6965, 7768, 519, 18627, 20926, 538, 3184, 2473, 309, 7656, 269, 1452, 971, 13915, 3494, 519, 18627, 547, 581, 513, 21753, 799, 1625, 1636, 547, 581, 519, 1913, 540, 519, 27584, 2643, 269, 1717, 267, 519, 2278, 13187, 267, 4168, 12206, 723, 3964, 602, 519, 6648, 1281, 840, 15082, 2441, 267, 543, 32047, 267, 602, 519, 1913, 616, 22992, 1346, 540, 519, 27584, 2643, 269, 769, 1931, 547, 1394, 909, 891, 26567, 6811, 267, 519, 2278, 4016, 547, 519, 12591, 540, 595, 545, 3266, 267, 799, 646, 6811, 1397, 1702, 540, 519, 27584, 2643, 779, 11236, 827, 2441, 269, 1261, 4667, 547, 3277, 547, 6555, 1588, 4083, 269, 8099, 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 ]
[ 8443, 339, 868, 273, 14714, 8692, 3890, 585, 512, 868, 273, 538, 1257, 21858, 263, 696, 264, 7481, 825, 2132, 1257, 692, 3698, 1711, 17806, 29495, 267, 6312, 1181, 2187, 825, 585, 28887, 538, 4806, 912, 1038, 1257, 815, 9497, 1701, 1040, 21860, 8443, 339, 868, 273, 14714, 8692, 3890, 585, 512, 868, 273, 538, 1257, 21858, 263, 696, 264, 7481, 825, 2132, 1257, 21858, 3488, 269, 5073, 8931, 1363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2104, 3034, 763, 1382, 5238, 24574, 1359, 609, 519, 11036, 616, 519, 9705, 26994, 6052, 3194, 4659, 630, 25605, 2207, 296, 1070, 9705, 17224, 18209, 3194, 4659, 630, 298, 2752, 296, 1070, 9705, 18395, 543, 6611, 3163, 4659, 630, 298, 3008, 296, 1070, 9705, 14825, 12067, 5303, 4659, 630, 298, 2969, 17248, 1070, 9705, 4659, 540, 6406, 7177, 543, 8490, 5303, 630, 298, 2975, 307, 1070, 543, 519, 22997, 543, 17791, 20664, 3194, 4659, 630, 4953, 6020, 1040, 634, 5077, 894, 1560, 568, 4397, 547, 5581, 519, 2035, 585, 16264, 3408, 10688, 267, 607, 1134, 607, 2101, 4295, 4066, 267, 1247, 3384, 543, 17265, 1880, 2994, 543, 6388, 3800, 585, 16264, 4238, 269, 1452, 1331, 3937, 585, 3408, 267, 3301, 585, 10688, 4238, 267, 543, 6552, 2792, 4066, 563, 763, 9855, 779, 2627, 568, 513, 3226, 10792, 1604, 585, 12747, 1949, 267, 609, 519, 7452, 593, 519, 2627, 1500, 909, 540, 5386, 267, 2182, 543, 31492, 5536, 269, 4033, 4101, 3344, 540, 519, 16264, 1604, 547, 25077, 609, 1331, 519, 3668, 540, 2011, 267, 3665, 2837, 7648, 543, 513, 14099, 533, 1442, 5658, 539, 609, 1585, 1835, 11596, 269, 634, 2029, 2919, 585, 519, 9855, 568, 519, 10700, 18445, 2666, 543, 568, 4397, 547, 581, 838, 684, 856, 883, 5100, 543, 4264, 10688, 3435, 585, 946, 593, 3047, 607, 1134, 269, 634, 1079, 3549, 786, 24973, 581, 3384, 11608, 543, 2027, 2213, 3937, 585, 16264, 2627, 3408, 269, 0, 13051, 16547, 15625, 1923, 4757, 11333, 2593, 454, 24874, 652, 5656, 538, 5455, 8063, 1715, 3840, 454, 763, 1686, 540, 5455, 8063, 12924, 568, 267, 538, 1082, 2081, 267, 519, 1686, 540, 519, 2136, 2276, 269, 3245, 930, 540, 519, 9998, 3864, 23928, 540, 519, 29036, 267, 547, 8441, 538, 4123, 543, 2872, 267, 5455, 8063, 12924, 568, 2407, 540, 2025, 3889, 543, 21056, 602, 11291, 519, 9998, 1296, 540, 519, 2197, 267, 543, 1256, 4266, 547, 20616, 2053, 563, 2171, 4312, 22646, 585, 519, 476, 736, 9510, 7555, 3889, 2429, 519, 3148, 267, 543, 1336, 930, 602, 616, 936, 476, 12573, 1296, 2025, 269, 6875, 513, 1413, 998, 891, 3140, 6753, 538, 5455, 8063, 12924, 563, 736, 269, 6008, 29118, 570, 11232, 333, 267, 10910, 710, 20198, 454, 9303, 7595, 21829, 2782, 512, 11232, 333, 11262, 676, 18148, 8709, 6008, 29118, 543, 3710, 538, 476, 11260, 271, 630, 874, 9369, 28998, 1916, 293, 5585, 337, 1315, 715, 565, 534, 318, 290, 944, 454, 763, 9510, 2777, 538, 519, 8978, 8498, 540, 10910, 710, 20198, 267, 3710, 2235, 320, 476, 15876, 280, 676, 513, 4436, 19366, 267, 29312, 5484, 1676, 563, 763, 9510, 2679, 538, 19186, 1415, 267, 849, 1634, 607, 519, 11709, 744, 560, 8681, 324, 7304, 611, 331, 858, 5600, 267, 3710, 538, 476, 15094, 279, 563, 1805, 3530, 1923, 12924, 1575, 2593, 454, 1704, 269, 3943, 16836, 630, 293, 677, 15281, 698, 4673, 1070, 8479, 560, 1144, 454, 299, 11343, 2282, 519, 5023, 540, 519, 5757, 267, 713, 2178, 3943, 6830, 2305, 729, 3710, 538, 476, 15094, 277, 563, 293, 5585, 337, 1315, 2480, 1156, 624, 8014, 6019, 454, 1626, 269, 14062, 962, 919, 5600, 267, 2480, 1156, 624, 8014, 454, 1607, 10656, 20616, 1753, 538, 2480, 1156, 624, 8014, 781, 14351, 1228, 8378, 729, 3710, 2235, 320, 476, 15094, 276, 563, 293, 5585, 337, 1315, 6754, 454, 1428, 269, 15751, 639, 11709, 700, 3019, 5600, 267, 18603, 454, 1607, 1753, 538, 18603, 267, 12924, 267, 729, 3710, 676, 835, 540, 519, 1453, 540, 3967, 11709, 700, 3019, 267, 835, 540, 519, 4525, 9998, 13896, 267, 538, 476, 15094, 275, 563, 308, 3899, 23747, 7732, 3590, 454, 1691, 269, 13100, 2678, 12736, 928, 5600, 267, 21861, 548, 1335, 454, 289, 16742, 2235, 320, 476, 15094, 271, 267, 713, 568, 4630, 652, 1737, 568, 5156, 547, 581, 519, 9510, 2679, 538, 21861, 548, 1335, 563, 293, 5585, 337, 1315, 22216, 2643, 590, 454, 1724, 269, 3967, 11709, 670, 3996, 523, 5600, 267, 1849, 11232, 871, 454, 9827, 3710, 2235, 320, 476, 15094, 271, 267, 519, 3967, 11709, 670, 3996, 523, 2777, 568, 4867, 519, 1641, 540, 513, 11091, 1788, 547, 4688, 621, 689, 21324, 563, 1321, 269, 18409, 12942, 5600, 267, 8621, 17980, 15734, 454, 763, 1152, 6967, 1383, 540, 513, 1715, 2622, 10656, 4446, 333, 1869, 7555, 538, 21060, 6019, 269, 901, 2679, 729, 9112, 538, 538, 519, 476, 15094, 271, 338, 563, 299, 3869, 540, 6837, 454, 1556, 269, 589, 6319, 534, 16660, 3213, 324, 2096, 753, 5600, 267, 3213, 324, 2096, 753, 454, 289, 16742, 585, 513, 476, 1704, 628, 10601, 7912, 543, 4718, 2173, 3739, 646, 328, 816, 267, 713, 2777, 568, 5156, 547, 723, 1044, 9112, 1063, 476, 15433, 271, 543, 476, 14378, 277, 563, 1015, 269, 717, 727, 345, 7085, 5600, 267, 1715, 15734, 454, 763, 717, 727, 345, 7085, 5600, 568, 1634, 607, 519, 9510, 6014, 15335, 538, 519, 2136, 2276, 269, 898, 729, 3710, 2235, 320, 476, 14378, 275, 563, 293, 5585, 337, 1315, 20999, 667, 1446, 454, 280, 269, 8496, 600, 6601, 1777, 13067, 652, 1737, 267, 2142, 13154, 454, 291, 583, 3832, 1087, 6019, 781, 9510, 4630, 652, 1737, 729, 3710, 538, 476, 10204, 280, 267, 543, 3788, 1930, 585, 19150, 563, 293, 5585, 337, 1315, 8751, 14880, 454, 289, 16742, 676, 606, 2038, 3864, 3936, 2401, 540, 519, 1858, 538, 476, 10204, 277, 267, 1175, 835, 3774, 540, 519, 3312, 3967, 11709, 700, 3019, 2777, 568, 1869, 7555, 693, 476, 4375, 3162, 6115, 9335, 563, 293, 5585, 337, 1315, 20574, 454, 9827, 1634, 607, 10783, 15434, 559, 334, 267, 713, 25167, 1753, 729, 11262, 676, 18741, 807, 523, 8709, 681, 839, 1088, 320, 518, 267, 835, 540, 519, 27428, 540, 519, 10656, 4639, 3127, 7577, 269, 898, 729, 3710, 538, 476, 10204, 275, 563, 277, 269, 2142, 2131, 2006, 1488, 916, 26735, 267, 10910, 710, 20198, 454, 25567, 320, 781, 9510, 5665, 7961, 568, 4092, 538, 8978, 10910, 710, 20198, 269, 898, 729, 3710, 538, 476, 10204, 271, 563, 293, 5585, 337, 1315, 5769, 25201, 3883, 16103, 454, 276, 269, 18578, 5362, 8709, 6008, 523, 15734, 5600, 267, 3751, 8725, 454, 1607, 1753, 267, 9112, 538, 476, 10204, 271, 267, 15068, 519, 8781, 540, 3751, 8725, 693, 519, 3946, 540, 519, 3703, 538, 476, 10082, 278, 563, 293, 5585, 337, 1315, 654, 958, 717, 984, 28856, 454, 289, 16742, 538, 476, 15757, 277, 267, 713, 6149, 2497, 1869, 7555, 538, 3751, 8725, 729, 519, 5870, 1747, 585, 519, 3312, 1715, 3840, 3557, 14130, 563, 293, 5585, 337, 1315, 7812, 700, 4141, 742, 2401, 454, 274, 269, 966, 663, 523, 15734, 6953, 553, 321, 709, 1188, 5600, 267, 3751, 8725, 454, 289, 16742, 2235, 320, 476, 15757, 271, 267, 519, 9510, 1753, 538, 519, 3751, 8725, 14351, 1228, 1858, 568, 4867, 513, 13962, 563, 289, 16742, 538, 476, 14917, 274, 267, 13100, 2678, 17588, 1188, 781, 2777, 1869, 6763, 607, 835, 540, 519, 9510, 3889, 538, 519, 1533, 563, 293, 5585, 337, 1315, 8905, 1704, 325, 534, 454, 272, 269, 634, 853, 320, 1846, 5600, 267, 12052, 6807, 454, 11045, 2216, 569, 519, 9510, 2679, 538, 5455, 8063, 1715, 3840, 267, 519, 853, 320, 1846, 2777, 568, 16042, 568, 16042, 2185, 5553, 2025, 563, 763, 1753, 568, 1634, 547, 723, 1044, 3710, 1063, 476, 13932, 275, 543, 476, 13679, 275, 585, 14062, 853, 320, 1846, 267, 519, 1101, 3864, 17055, 540, 519, 1858, 269, 16024, 2103, 2161, 621, 568, 519, 1747, 1141, 8361, 23747, 15354, 693, 519, 5023, 540, 519, 14351, 1636, 15880, 538, 476, 8182, 280, 563, 2005, 729, 1034, 5063, 17468, 538, 519, 476, 2735, 271, 338, 269, 16071, 543, 513, 17609, 585, 519, 1753, 666, 581, 9763, 1934, 563, 13051, 16547, 15625, 1923, 18078, 17106, 11333, 3820, 454, 3918, 4696, 27749, 281, 6423, 476, 1240, 5455, 8063, 12924, 3601, 5227, 585, 2817, 19193, 540, 19866, 4025, 454, 294, 990, 269, 19923, 27622, 5227, 476, 1240, 1007, 5455, 8063, 12924, 3601, 585, 519, 2817, 19193, 540, 19866, 23089, 538, 476, 1001, 277, 269, 6423, 519, 2407, 1592, 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 ]
[ 0, 258, 634, 18975, 540, 670, 8457, 328, 568, 513, 6310, 3014, 610, 11015, 563, 258, 901, 3014, 568, 4843, 607, 5205, 912, 258, 567, 1703, 616, 476, 274, 22203, 589, 267, 645, 267, 595, 269, 3097, 258, 567, 14339, 589, 281, 513, 10518, 540, 562, 28283, 13302, 538, 8006, 689, 5377, 547, 1283, 269, 3097, 258, 567, 10261, 547, 1847, 713, 10518, 540, 12210, 689, 11425, 589, 547, 11425, 595, 2687, 547, 519, 4341, 281, 3097, 258, 11434, 8307, 476, 272, 1167, 568, 11843, 693, 513, 942, 269, 3097, 258, 11434, 1656, 1152, 4130, 8006, 25923, 1058, 581, 5116, 593, 1283, 540, 3677, 8006, 25923, 269, 3097, 258, 11434, 4438, 519, 4483, 1184, 267, 621, 568, 4847, 547, 946, 11425, 645, 607, 606, 13591, 1611, 563, 258, 634, 1966, 568, 281, 15531, 513, 1259, 602, 3340, 519, 2547, 2179, 540, 12210, 3350, 454, 258, 476, 5785, 32458, 7042, 328, 815, 476, 271, 692, 3698, 1847, 3799, 267, 1376, 267, 9096, 267, 22302, 2187, 825, 2518, 1775, 454, 825, 952, 562, 2652, 476, 272, 912, 1038, 1820, 2891, 31161, 12210, 689, 4939, 322, 547, 4939, 322, 257, 4939, 630, 11034, 267, 21129, 880, 4917, 1038, 1775, 6834, 476, 272, 454, 1038, 2132, 454, 825, 3116, 912, 1038, 1847, 3799, 268, 272, 267, 1376, 267, 22302, 267, 9096, 994, 1038, 1847, 263, 272, 267, 1376, 267, 9096, 267, 22302, 994, 1038, 1847, 3799, 268, 272, 267, 22302, 267, 9096, 267, 1376, 2020, 3698, 1292, 10031, 825, 12210, 815, 703, 9272, 2891, 8923, 3403, 1297, 540, 12210, 281, 27328, 825, 1847, 263, 4134, 330, 267, 1412, 272, 3299, 1412, 274, 3299, 1412, 273, 5073, 825, 1820, 2891, 13707, 1297, 540, 7575, 815, 4939, 323, 14826, 257, 4939, 1775, 994, 825, 2132, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 454, 12163, 4449, 17264, 30577, 2296, 692, 2414, 1376, 267, 649, 786, 5352, 513, 4351, 954, 3455, 1063, 476, 272, 543, 476, 2764, 267, 543, 1759, 454, 517, 519, 1267, 540, 519, 4351, 1297, 267, 649, 2638, 547, 1294, 952, 621, 8813, 896, 513, 1978, 2039, 269, 3097, 2252, 519, 1297, 568, 3152, 982, 476, 1428, 267, 1287, 519, 2164, 786, 581, 834, 290, 615, 1845, 20350, 1278, 3772, 952, 519, 1297, 3436, 476, 1015, 267, 1287, 519, 1267, 786, 581, 834, 7775, 1052, 2580, 3097, 1278, 3772, 952, 519, 1297, 3436, 476, 276, 267, 1287, 519, 1267, 786, 581, 834, 5522, 636, 2580, 3097, 1278, 3772, 952, 519, 1297, 3436, 476, 273, 267, 1287, 519, 1267, 786, 581, 834, 27839, 517, 20350, 1278, 3772, 952, 519, 1297, 3436, 476, 272, 267, 1287, 519, 759, 4157, 337, 786, 581, 834, 289, 749, 20350, 604, 519, 1297, 568, 711, 1022, 540, 519, 1657, 267, 1287, 519, 1267, 786, 581, 834, 21574, 28847, 2171, 621, 4733, 936, 1210, 513, 8520, 1614, 2053, 543, 1820, 519, 2164, 547, 519, 3097, 12528, 269, 1306, 606, 1383, 834, 5522, 636, 22216, 1845, 5016, 12163, 0, 333, 267, 330, 284, 276, 267, 274, 454, 1721, 1775, 538, 2039, 263, 272, 267, 275, 2187, 825, 562, 284, 333, 268, 272, 454, 825, 585, 795, 538, 2039, 263, 272, 19885, 2187, 1038, 952, 795, 734, 330, 912, 2018, 1820, 17347, 994, 1038, 3116, 912, 2018, 1820, 17347, 10086, 265, 3299, 754, 8782, 5073, 825, 737, 284, 330, 268, 272, 454, 1721, 1775, 538, 2039, 263, 272, 267, 275, 2187, 825, 585, 561, 538, 476, 2039, 263, 272, 267, 275, 2187, 1038, 952, 561, 2525, 328, 912, 2018, 1820, 17347, 994, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 17347, 267, 24003, 3299, 1439, 8782, 5073, 0, 5814, 2979, 692, 3698, 7470, 553, 318, 714, 332, 6545, 320, 6262, 6511, 267, 22007, 335, 553, 318, 714, 11302, 2187, 825, 476, 714, 332, 6545, 320, 815, 22007, 335, 553, 318, 714, 11302, 2608, 524, 6511, 454, 825, 2132, 476, 714, 332, 6545, 320, 22562, 3698, 4781, 10031, 825, 1904, 815, 3403, 4590, 825, 1247, 6936, 912, 1038, 952, 1904, 2652, 834, 297, 257, 610, 1904, 2652, 834, 329, 13426, 2018, 2132, 6936, 454, 1038, 8640, 1904, 2652, 834, 301, 257, 610, 1904, 2652, 834, 333, 13426, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 1820, 2891, 297, 5953, 773, 341, 3385, 808, 10768, 642, 2967, 715, 14672, 32405, 2018, 2132, 4781, 4590, 8931, 6112, 6936, 912, 825, 524, 815, 3403, 2891, 296, 5271, 611, 2884, 524, 523, 340, 281, 19515, 825, 2119, 912, 1038, 524, 6511, 815, 10581, 6262, 994, 825, 4849, 28759, 912, 1038, 1820, 2891, 297, 5953, 773, 341, 3385, 1236, 7159, 2993, 256, 594, 5271, 611, 2884, 6063, 516, 714, 32405, 1038, 3136, 22562, 825, 512, 10983, 815, 3403, 2891, 296, 5271, 611, 2884, 22007, 335, 553, 476, 714, 332, 25207, 745, 281, 19515, 825, 2119, 912, 1038, 22007, 335, 553, 318, 714, 11302, 815, 10581, 6025, 10983, 994, 825, 4849, 28759, 912, 1038, 1820, 2891, 297, 5953, 773, 341, 3385, 1236, 7159, 2993, 256, 594, 5271, 611, 2884, 6063, 516, 714, 32405, 1038, 3136, 22562, 825, 1820, 2891, 714, 332, 6545, 553, 281, 19515, 825, 1820, 14116, 5090, 553, 318, 714, 332, 6545, 320, 6262, 6511, 267, 22007, 335, 553, 318, 714, 11302, 4917, 825, 1820, 19629, 333, 309, 2967, 808, 19476, 916, 3352, 795, 5953, 714, 557, 18480, 6063, 642, 1329, 340, 24203, 25207, 384, 371, 514, 5953, 329, 636, 340, 286, 5602, 825, 1820, 2891, 297, 5953, 263, 297, 10768, 264, 4449, 25639, 715, 25207, 18217, 14672, 264, 5602, 825, 952, 711, 4781, 263, 2567, 2736, 454, 2745, 2891, 291, 16808, 13682, 9346, 533, 23042, 580, 3279, 32405, 8931, 8931, 1363, 0, 12163, 2704, 2998, 281, 6744, 799, 540, 519, 3693, 568, 8273, 267, 543, 5330, 5944, 1832, 11093, 538, 15358, 272, 5044, 267, 543, 3526, 13586, 519, 4994, 540, 602, 5044, 780, 13425, 519, 11643, 3070, 609, 8292, 454, 12163, 5035, 8827, 912, 825, 1219, 19467, 4311, 267, 15358, 272, 267, 544, 267, 15358, 273, 267, 562, 2187, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 272, 538, 268, 2897, 3079, 563, 1038, 8173, 13872, 1038, 1948, 16448, 568, 602, 1312, 544, 543, 562, 616, 3152, 982, 476, 271, 454, 1038, 1247, 544, 3436, 476, 271, 543, 562, 3436, 476, 271, 912, 2018, 1948, 769, 713, 15358, 272, 3693, 568, 3152, 982, 15358, 273, 3693, 454, 2018, 952, 15358, 272, 314, 332, 268, 272, 316, 13843, 15358, 273, 19559, 268, 272, 14158, 3546, 15358, 272, 314, 332, 266, 333, 268, 272, 316, 815, 15358, 272, 314, 332, 268, 272, 2639, 3546, 544, 20699, 476, 272, 1948, 28206, 2084, 544, 1871, 607, 602, 3693, 814, 1044, 4988, 30032, 7672, 538, 15358, 272, 454, 2018, 3116, 912, 3546, 1948, 769, 713, 15358, 273, 3693, 568, 3152, 982, 15358, 272, 3693, 454, 3546, 15358, 272, 314, 332, 266, 333, 268, 272, 316, 815, 15358, 273, 19559, 268, 272, 2639, 3546, 562, 20699, 476, 272, 1948, 28206, 2084, 562, 1871, 607, 602, 3693, 814, 1044, 3769, 538, 15358, 272, 454, 4449, 454, 1038, 1948, 634, 2630, 835, 568, 519, 2013, 585, 1346, 2609, 538, 15358, 273, 799, 616, 4130, 538, 2013, 540, 519, 2783, 950, 544, 814, 1831, 476, 271, 269, 1924, 267, 3355, 562, 2609, 616, 23652, 689, 15358, 273, 547, 15358, 272, 269, 22322, 1038, 1948, 901, 568, 519, 2013, 950, 15358, 272, 568, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 316, 543, 15358, 273, 568, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 1038, 952, 562, 3436, 476, 271, 912, 2018, 15358, 272, 11468, 333, 316, 815, 15358, 273, 11468, 333, 2639, 27030, 333, 4548, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 271, 267, 271, 267, 271, 316, 3097, 332, 815, 476, 274, 454, 333, 4548, 273, 815, 1496, 273, 267, 276, 267, 277, 316, 11434, 454, 333, 815, 476, 274, 692, 2745, 263, 11405, 14061, 1067, 613, 25225, 272, 31599, 19885, 4548, 273, 19885, 4917, 2745, 9497, 306, 9285, 26275, 607, 15358, 272, 568, 281, 5602, 2745, 630, 333, 4548, 272, 264, 0, 12163, 8448, 5871, 13242, 13979, 568, 547, 798, 538, 4650, 21986, 531, 538, 25276, 1259, 630, 6518, 786, 1683, 5044, 538, 15044, 26799, 1931, 1070, 543, 1205, 519, 630, 330, 268, 272, 264, 628, 3693, 540, 713, 5044, 563, 692, 2704, 2998, 281, 5213, 1405, 798, 3003, 538, 4650, 21986, 531, 267, 3247, 1310, 8757, 737, 628, 3693, 538, 621, 780, 307, 5861, 269, 910, 744, 263, 295, 266, 330, 1070, 1141, 1412, 295, 262, 568, 4463, 540, 3529, 267, 799, 568, 744, 263, 8421, 715, 266, 330, 264, 585, 7059, 3529, 267, 543, 454, 3546, 744, 18217, 266, 330, 264, 585, 4625, 796, 29446, 3529, 267, 609, 782, 9136, 538, 2451, 5705, 872, 780, 1038, 29203, 568, 1317, 540, 10518, 799, 3568, 693, 548, 770, 670, 266, 330, 2609, 267, 4449, 567, 607, 1354, 1402, 4771, 856, 267, 835, 814, 547, 979, 547, 519, 6978, 780, 306, 5861, 269, 910, 744, 263, 295, 266, 330, 1070, 1482, 607, 570, 5861, 269, 910, 744, 18217, 266, 330, 264, 538, 10782, 2013, 267, 543, 744, 263, 8421, 715, 266, 330, 264, 538, 3328, 2013, 563, 20701, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 737, 628, 22102, 652, 4311, 267, 3597, 267, 737, 17107, 1038, 10518, 815, 29129, 1038, 1948, 7736, 1652, 8520, 267, 786, 2165, 3729, 267, 950, 4466, 519, 2838, 2626, 454, 1038, 1247, 6936, 1384, 2018, 1948, 24613, 547, 519, 2451, 2865, 6978, 540, 519, 3529, 454, 2018, 1247, 3597, 912, 3546, 10518, 6910, 20172, 994, 3546, 3597, 815, 3597, 16000, 692, 2018, 3597, 815, 10518, 21014, 3890, 476, 1948, 7377, 4771, 3693, 689, 519, 10518, 454, 2018, 737, 20699, 476, 272, 476, 1948, 28206, 13586, 737, 1169, 942, 692, 2018, 1948, 1879, 737, 3587, 476, 271, 267, 621, 786, 2132, 3597, 781, 1871, 538, 621, 2676, 2018, 1948, 799, 1131, 581, 737, 628, 10545, 1871, 454, 2018, 952, 630, 330, 2652, 476, 271, 2187, 3546, 2132, 3597, 22183, 692, 2018, 1948, 2311, 713, 1448, 267, 621, 4422, 883, 519, 1318, 1126, 540, 519, 3597, 454, 2018, 3597, 815, 3597, 16192, 692, 3698, 1292, 10031, 825, 3597, 815, 30741, 263, 276, 994, 825, 3597, 16000, 815, 30741, 263, 274, 994, 825, 3597, 16192, 815, 30741, 263, 277, 994, 825, 3597, 16000, 16000, 815, 30741, 263, 273, 994, 825, 3597, 16000, 16192, 815, 30741, 263, 275, 994, 825, 3597, 16000, 16000, 16000, 815, 30741, 263, 272, 2020, 825, 1820, 2891, 298, 628, 10545, 3693, 538, 645, 4306, 568, 281, 19515, 825, 1820, 263, 11405, 14061, 330, 628, 22102, 652, 20172, 267, 476, 274, 11723, 10852, 3890, 0, 12163, 2704, 2998, 281, 17179, 782, 627, 1080, 335, 2167, 676, 1210, 14816, 3890, 1599, 454, 825, 8307, 835, 11346, 568, 4847, 267, 952, 972, 616, 1079, 12427, 267, 621, 568, 23380, 543, 3976, 2132, 476, 271, 563, 825, 1403, 519, 3259, 540, 1412, 339, 5404, 262, 568, 476, 272, 267, 621, 1797, 519, 1412, 339, 5404, 262, 568, 1412, 271, 262, 610, 25962, 610, 21029, 3299, 865, 1058, 2132, 476, 271, 538, 519, 1599, 22562, 825, 1403, 519, 3259, 540, 1412, 339, 5404, 262, 568, 3152, 982, 476, 272, 267, 621, 1797, 519, 1412, 339, 5404, 262, 568, 1412, 271, 1862, 263, 11133, 1499, 264, 262, 610, 1412, 266, 1862, 263, 11133, 1499, 264, 262, 610, 21029, 1862, 263, 11133, 1499, 264, 3299, 1287, 946, 8870, 3196, 7503, 547, 1118, 1412, 339, 5404, 262, 547, 606, 8870, 692, 825, 1403, 519, 1267, 568, 856, 540, 519, 2039, 540, 2099, 762, 2418, 267, 10790, 311, 318, 19860, 610, 32745, 318, 19860, 568, 8120, 563, 20701, 5035, 8827, 912, 825, 1219, 1250, 288, 1729, 328, 4311, 267, 1193, 2187, 13872, 1038, 1193, 815, 1193, 14714, 8692, 3890, 1948, 3816, 8221, 16543, 335, 2167, 1210, 14816, 3890, 1599, 28329, 1038, 1948, 12476, 8865, 454, 1038, 952, 630, 6352, 19304, 264, 2652, 476, 271, 2187, 2018, 2132, 476, 271, 28329, 1038, 1948, 25849, 532, 10790, 311, 318, 19860, 543, 32745, 318, 19860, 2418, 454, 1038, 10790, 311, 318, 19860, 815, 476, 20969, 278, 4366, 3607, 275, 278, 454, 1038, 32745, 318, 19860, 815, 910, 20969, 278, 4366, 3607, 275, 279, 28329, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13650, 267, 3404, 523, 267, 543, 5198, 9640, 941, 3833, 6093, 1851, 5375, 24067, 13946, 10367, 269, 26495, 16251, 267, 21495, 267, 3165, 267, 543, 1256, 930, 9345, 7068, 1413, 12212, 538, 891, 23572, 267, 11338, 563, 4913, 621, 568, 2356, 711, 2312, 875, 891, 23416, 941, 4294, 267, 855, 519, 1034, 8912, 7058, 568, 789, 941, 1750, 14954, 543, 7654, 22883, 610, 27762, 676, 1210, 513, 10612, 593, 519, 6821, 269, 630, 8967, 1712, 330, 476, 4029, 264, 634, 2495, 540, 891, 840, 3620, 626, 7595, 13946, 11247, 568, 15458, 269, 634, 3355, 2442, 569, 6444, 7664, 729, 602, 519, 13946, 10367, 1185, 1044, 513, 1826, 540, 3020, 26460, 547, 3142, 1434, 19539, 547, 519, 32339, 540, 519, 1920, 10130, 13269, 3330, 519, 7206, 269, 2290, 824, 3069, 30443, 6362, 3297, 519, 10367, 568, 602, 789, 1185, 1044, 2813, 547, 24901, 513, 27277, 741, 2205, 1006, 865, 602, 1426, 585, 519, 21962, 1522, 581, 10731, 563, 15563, 267, 513, 2442, 2495, 5267, 602, 891, 2010, 540, 23572, 1185, 1044, 513, 5870, 1747, 799, 15231, 13164, 8120, 547, 21496, 547, 6582, 22888, 543, 2797, 543, 1514, 24816, 269, 630, 8967, 1712, 330, 476, 4029, 264, 20290, 782, 540, 519, 2592, 1282, 891, 23572, 616, 4092, 2620, 3330, 519, 13946, 269, 898, 568, 9244, 5227, 602, 519, 5386, 1148, 568, 711, 2731, 13556, 538, 519, 5023, 538, 3232, 2070, 540, 13122, 2572, 267, 855, 621, 568, 2620, 3330, 519, 13946, 5631, 1317, 789, 941, 2966, 585, 23732, 269, 4595, 519, 10367, 941, 2808, 547, 581, 6402, 547, 3504, 14326, 799, 941, 4941, 538, 519, 4158, 17909, 540, 519, 2285, 998, 695, 16120, 2065, 12738, 563, 763, 13946, 5578, 543, 519, 17426, 1148, 540, 476, 1839, 267, 476, 1822, 268, 1015, 267, 476, 1822, 654, 269, 623, 269, 1376, 519, 1134, 8153, 2594, 540, 1480, 7499, 5137, 269, 21231, 649, 723, 1806, 540, 1018, 1480, 7919, 1036, 340, 12023, 1317, 4190, 543, 865, 4502, 2870, 543, 8497, 269, 3245, 713, 1974, 593, 1189, 267, 519, 7287, 547, 1711, 543, 5660, 26672, 528, 568, 851, 540, 519, 1480, 1686, 269, 634, 2285, 13144, 607, 1134, 2285, 721, 3823, 741, 15888, 3406, 585, 799, 1797, 543, 3483, 538, 1272, 269, 3776, 1148, 3091, 21286, 5920, 547, 938, 8223, 540, 267, 543, 938, 27811, 4555, 827, 267, 519, 1747, 538, 519, 1158, 563, 7437, 1142, 540, 938, 1148, 649, 782, 3801, 547, 1921, 609, 3677, 4229, 538, 519, 1158, 543, 5968, 609, 835, 824, 269, 630, 8967, 1712, 330, 476, 3953, 264, 18972, 1282, 1686, 723, 2907, 1044, 1102, 520, 18050, 609, 5898, 543, 2870, 14996, 775, 269, 634, 11944, 540, 30941, 18682, 16772, 18682, 16772, 568, 29064, 14356, 676, 7287, 540, 12572, 8360, 269, 12344, 621, 568, 835, 540, 519, 10305, 540, 1004, 602, 3142, 721, 3976, 2673, 1927, 1373, 513, 2489, 11317, 607, 649, 557, 2141, 5551, 513, 4276, 1851, 938, 4606, 543, 519, 2168, 1158, 269, 634, 1034, 4583, 8115, 1063, 891, 1079, 26441, 568, 602, 998, 1148, 563, 10303, 11247, 2934, 2094, 5532, 1004, 547, 782, 741, 4664, 540, 2168, 14996, 775, 267, 1434, 19539, 267, 519, 6891, 7122, 267, 543, 519, 21686, 540, 519, 1413, 269, 2290, 540, 519, 1034, 3504, 543, 1034, 1455, 26007, 538, 1148, 568, 513, 4276, 609, 519, 6891, 1158, 269, 1452, 4664, 540, 1620, 1272, 543, 1585, 2418, 538, 606, 519, 18205, 616, 26526, 3586, 2429, 782, 540, 1686, 543, 11247, 269, 2494, 29292, 814, 1185, 606, 1102, 520, 6672, 609, 11589, 891, 2010, 540, 6418, 4555, 540, 6161, 267, 3483, 267, 543, 7553, 543, 814, 1044, 3586, 2094, 840, 3620, 626, 800, 883, 519, 1459, 543, 786, 1034, 2693, 2611, 513, 851, 540, 1480, 1158, 2394, 519, 1439, 540, 6228, 269, 0, 274, 7160, 540, 654, 11208, 538, 519, 2038, 5939, 1336, 538, 519, 17048, 563, 310, 11208, 538, 519, 2038, 5939, 454, 305, 19563, 623, 269, 9410, 454, 347, 13750, 618, 1475, 2421, 25453, 623, 269, 9410, 8198, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 13893, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 13893, 2008, 763, 772, 7949, 807, 3883, 269, 7433, 634, 17959, 540, 654, 11208, 269, 20465, 623, 6020, 11085, 20937, 4984, 1185, 513, 1979, 11043, 5169, 267, 513, 2067, 12105, 1646, 267, 11735, 689, 5837, 12205, 543, 6306, 689, 782, 5289, 7506, 269, 634, 2362, 2831, 723, 12194, 855, 1100, 2192, 16272, 267, 8754, 1100, 4984, 269, 2494, 5932, 1010, 18642, 10764, 856, 540, 1010, 12194, 543, 676, 1797, 540, 1010, 2192, 16272, 269, 1809, 950, 519, 5783, 814, 1831, 519, 2881, 2692, 2599, 3297, 519, 4108, 3684, 23121, 26490, 1947, 9718, 610, 3895, 3084, 4690, 1765, 933, 25176, 689, 938, 2038, 5939, 5072, 267, 4171, 14336, 4800, 547, 2696, 779, 8003, 1629, 6838, 741, 14336, 4800, 547, 7507, 779, 10806, 269, 1215, 1284, 5530, 519, 6426, 269, 634, 2038, 5939, 849, 12595, 519, 9746, 1353, 540, 519, 6426, 563, 763, 7216, 5783, 269, 524, 269, 476, 1789, 5940, 3307, 1161, 540, 968, 27716, 4658, 892, 538, 13243, 1331, 3232, 11454, 10847, 267, 19001, 267, 19980, 956, 685, 3450, 267, 31776, 267, 8840, 540, 3694, 267, 29080, 269, 524, 269, 476, 3451, 3689, 968, 1372, 659, 976, 269, 1452, 2038, 21071, 1705, 711, 723, 5939, 5656, 547, 2743, 538, 269, 1358, 1558, 6140, 538, 5321, 269, 634, 1101, 5939, 5656, 1705, 711, 1376, 547, 2408, 2394, 519, 2038, 521, 269, 13891, 622, 855, 711, 29559, 269, 634, 2038, 5939, 1705, 711, 723, 29559, 607, 649, 1589, 540, 873, 2221, 269, 1809, 602, 1281, 711, 1611, 789, 1185, 1100, 3978, 22195, 1369, 519, 16034, 269, 1358, 563, 8016, 9448, 7089, 281, 13517, 281, 3817, 6902, 476, 866, 4699, 281, 12937, 281, 634, 5783, 281, 589, 26902, 6235, 2146, 4534, 763, 6014, 18472, 538, 519, 13527, 543, 14271, 698, 4084, 4534, 763, 19001, 543, 9299, 2478, 540, 519, 1715, 11620, 4534, 295, 2096, 985, 543, 5289, 8964, 4534, 763, 4806, 540, 3280, 1913, 281, 7216, 1212, 2644, 543, 21334, 687, 540, 5132, 4534, 763, 18591, 540, 519, 2262, 4534, 3519, 1356, 940, 519, 4015, 281, 4168, 19642, 4534, 763, 20227, 269, 654, 11208, 538, 519, 7216, 5783, 786, 1683, 513, 3730, 7650, 540, 519, 1455, 8017, 543, 3604, 538, 10847, 5389, 1369, 519, 5783, 267, 711, 1152, 2066, 942, 855, 849, 2066, 2230, 1677, 3605, 891, 2038, 12591, 593, 10847, 568, 547, 3605, 513, 6891, 602, 814, 1044, 4503, 538, 938, 2413, 2433, 18039, 808, 9652, 563, 763, 14470, 8878, 269, 734, 454, 3118, 540, 519, 9061, 585, 519, 9082, 7589, 454, 2419, 691, 532, 513, 1576, 585, 519, 26609, 7345, 27347, 1117, 454, 20931, 540, 519, 24614, 4123, 1347, 885, 454, 19733, 585, 15076, 454, 24961, 543, 3391, 547, 519, 2961, 756, 5622, 4154, 15183, 540, 3703, 12052, 454, 10048, 543, 1010, 2470, 454, 2026, 952, 1373, 476, 1321, 476, 274, 270, 275, 568, 660, 3983, 2614, 267, 1250, 3993, 568, 4881, 585, 7022, 2336, 4467, 1584, 619, 543, 741, 3156, 454, 22137, 593, 519, 7607, 540, 1236, 27570, 8778, 832, 454, 309, 619, 320, 14792, 543, 519, 570, 6929, 976, 454, 21798, 2500, 6908, 3766, 1645, 2994, 585, 519, 2539, 12548, 5211, 19438, 454, 763, 13343, 3240, 595, 1251, 24824, 1650, 454, 32715, 619, 543, 1920, 5491, 454, 310, 11208, 538, 519, 7216, 5783, 269, 1323, 4367, 547, 519, 1715, 11620, 3450, 7282, 519, 2038, 4168, 3741, 543, 2853, 540, 9746, 10847, 563, 16449, 519, 3584, 9410, 15109, 616, 19001, 543, 9299, 2478, 267, 1212, 2644, 543, 21334, 687, 267, 840, 2286, 267, 17008, 267, 543, 5485, 571, 906, 270, 276, 263, 1015, 1040, 654, 11208, 538, 519, 7216, 5783, 543, 6634, 540, 824, 2835, 616, 2139, 585, 8835, 28632, 563, 310, 11208, 538, 519, 2038, 5939, 1433, 707, 5985, 1297, 610, 4757, 2232, 2630, 543, 649, 3513, 6494, 596, 513, 3095, 547, 4647, 519, 1863, 28632, 2561, 269, 3973, 596, 666, 1376, 2542, 28632, 2835, 593, 707, 16335, 267, 16979, 267, 610, 2780, 910, 1100, 28632, 3926, 676, 281, 654, 11208, 538, 519, 7216, 5783, 568, 513, 2185, 31891, 4015, 540, 32461, 689, 2038, 4168, 12591, 20515, 519, 5783, 781, 1396, 17790, 2259, 538, 1312, 5101, 543, 4639, 267, 689, 922, 6014, 20297, 998, 519, 1439, 540, 519, 15795, 2540, 563, 1607, 7131, 268, 15375, 2882, 519, 1543, 689, 1142, 4320, 538, 835, 10375, 7300, 3758, 269, 275, 270, 276, 263, 272, 1040, 654, 11208, 538, 519, 7216, 5783, 568, 513, 3638, 14951, 7708, 557, 540, 2707, 2326, 585, 1346, 945, 1353, 2038, 4168, 10847, 269, 901, 16320, 1108, 3947, 873, 1569, 547, 2296, 16627, 540, 513, 2647, 2039, 540, 3504, 2959, 602, 949, 711, 581, 6382, 2139, 547, 2433, 18039, 808, 563, 297, 28427, 269, 634, 654, 11208, 540, 519, 7216, 5783, 28980, 1107, 5130, 476, 272, 267, 676, 30544, 670, 23167, 630, 12041, 264, 15955, 16731, 8835, 781, 30544, 670, 23167, 8525, 563, 8340, 782, 519, 2835, 267, 1224, 827, 519, 2278, 267, 543, 811, 269, 6423, 3406, 2164, 585, 713, 2278, 269, 3657, 596, 606, 2278, 269, 6258, 827, 8191, 6239, 24764, 676, 281, 901, 568, 513, 8499, 4081, 1413, 693, 519, 10847, 538, 519, 2038, 5939, 563, 32354, 15211, 721, 998, 519, 3270, 267, 6208, 267, 543, 7215, 540, 10847, 538, 519, 2038, 22344, 5939, 269, 898, 568, 711, 513, 1279, 1433, 1315, 276, 263, 273, 1040, 901, 1433, 3217, 835, 606, 4277, 3460, 540, 2038, 4168, 10847, 606, 3746, 2478, 875, 18497, 19771, 948, 9160, 543, 6992, 1047, 10847, 543, 2146, 538, 519, 1101, 476, 275, 5553, 563, 2026, 513, 960, 267, 621, 568, 3810, 28505, 543, 621, 1131, 581, 513, 3730, 1840, 547, 4896, 781, 4015, 945, 568, 476, 275, 270, 276, 563, 342, 11208, 538, 519, 2038, 5939, 634, 1034, 2596, 968, 9711, 540, 10847, 892, 538, 519, 2038, 5939, 941, 519, 2542, 543, 1163, 3789, 540, 23075, 267, 11755, 267, 519, 13465, 540, 533, 15680, 916, 267, 1728, 332, 985, 267, 543, 5289, 8964, 267, 543, 519, 2616, 766, 540, 519, 5485, 571, 906, 282, 782, 540, 891, 941, 6508, 689, 519, 269, 589, 1297, 540, 2835, 16785, 1880, 2152, 540, 10847, 538, 519, 2038, 5939, 563, 2690, 1383, 267, 519, 3232, 5604, 1496, 2675, 7359, 540, 11755, 316, 538, 3032, 1117, 23552, 543, 20708, 625, 568, 6594, 538, 6754, 674, 269, 4858, 1091, 24849, 267, 11545, 27302, 538, 519, 7216, 5783, 630, 23682, 5112, 267, 15426, 634, 661, 1276, 30658, 540, 519, 2038, 10271, 568, 5701, 538, 27068, 667, 1460, 543, 8361, 932, 611, 19213, 267, 32308, 563, 1432, 1281, 713, 4001, 721, 827, 10847, 538, 519, 2038, 5939, 269, 630, 5445, 941, 1869, 20547, 2101, 22258, 2152, 4700, 2913, 781, 1413, 1586, 693, 20450, 1284, 4121, 602, 519, 10513, 13336, 729, 2907, 2324, 609, 4906, 547, 4051, 3571, 13794, 269, 1548, 568, 4906, 9621, 950, 1261, 563, 32354, 12116, 519, 3344, 540, 2038, 4168, 26902, 2089, 2001, 619, 543, 9299, 2478, 267, 13465, 267, 1212, 2644, 543, 21334, 687, 267, 840, 2286, 267, 17008, 267, 543, 5485, 26963, 560, 334, 6536, 17105, 1719, 538, 519, 1272, 543, 10847, 540, 2221, 781, 13039, 563, 335, 1137, 267, 2571, 16225, 689, 2433, 16179, 654, 11208, 538, 519, 7216, 5783, 4860, 2213, 676, 9410, 267, 25453, 623, 269, 630, 25835, 281, 3738, 689, 8835, 781, 3883, 15188, 269, 28064, 1970, 5777, 543, 1863, 6765, 593, 14718, 9753, 270, 276, 263, 276, 1040, 13028, 7172, 4115, 5498, 21124, 1382, 2200, 593, 7216, 8567, 689, 519, 2372, 652, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 267, 17476, 267, 14786, 543, 811, 563, 12709, 14872, 25873, 14872, 15215, 14872, 8567, 14872, 3778, 540, 8567, 14872, 7216, 4168, 5783, 14872, 7216, 8567, 269, 9768, 281, 32726, 9448, 7089, 281, 13517, 281, 3817, 6902, 476, 2420, 4699, 269, 12937, 281, 634, 5939, 281, 589, 26902, 6235, 2146, 4534, 763, 6014, 18472, 538, 519, 13527, 543, 31263, 4084, 4534, 763, 19001, 543, 9299, 2478, 540, 519, 1715, 11620, 4534, 295, 2096, 985, 543, 5289, 8964, 4534, 262, 763, 4806, 540, 3280, 1913, 9166, 7216, 1212, 2644, 543, 21334, 687, 540, 5132, 4534, 763, 18591, 540, 519, 6478, 4534, 262, 3519, 1356, 940, 519, 4015, 563, 7476, 713, 689, 513, 5399, 269, 654, 11208, 538, 519, 2038, 5939, 269, 1496, 305, 19563, 623, 9410, 316, 4534, 11929, 1149, 519, 2470, 540, 4168, 10847, 267, 922, 12738, 267, 543, 922, 1686 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3066, 4873, 476, 3192, 274, 282, 19622, 593, 476, 4029, 2904, 476, 2735, 271, 282, 5747, 593, 476, 279, 4728, 476, 1220, 276, 8198, 347, 2735, 271, 1475, 2735, 277, 1475, 294, 20423, 5062, 300, 1638, 534, 1475, 16978, 539, 593, 476, 1724, 4873, 543, 13394, 3603, 593, 476, 278, 5181, 476, 2735, 271, 282, 12261, 547, 13560, 543, 667, 668, 648, 538, 476, 2735, 277, 8198, 347, 2735, 277, 1475, 1220, 272, 1475, 289, 6929, 670, 27553, 1475, 16978, 539, 543, 13394, 3603, 538, 476, 2735, 277, 282, 19622, 593, 476, 276, 5239, 476, 1220, 272, 8198, 347, 1220, 273, 1475, 1001, 272, 1475, 28061, 12722, 1475, 16978, 539, 593, 476, 2641, 5437, 476, 1220, 272, 543, 13394, 3603, 593, 476, 277, 4728, 476, 1220, 273, 282, 12261, 547, 25212, 1299, 3794, 754, 531, 965, 593, 476, 279, 2904, 476, 1001, 272, 2008, 347, 1001, 272, 1475, 30005, 1475, 11990, 22413, 578, 749, 1475, 7343, 31212, 676, 519, 5600, 540, 645, 25615, 593, 476, 1789, 2904, 476, 1001, 272, 543, 13394, 3603, 593, 476, 2537, 5181, 476, 1001, 272, 8198, 268, 4144, 665, 3150, 540, 1849, 690, 615, 454, 268, 3776, 9697, 1117, 23552, 281, 4144, 665, 3150, 540, 1849, 690, 615, 454, 268, 853, 5839, 691, 534, 1107, 476, 5611, 271, 1296, 540, 5132, 630, 13312, 665, 3150, 540, 1849, 690, 615, 994, 268, 1849, 690, 615, 23464, 543, 1612, 8460, 1496, 332, 2222, 845, 316, 2433, 1373, 606, 2272, 540, 519, 23464, 540, 519, 5783, 540, 8581, 538, 519, 4144, 665, 3150, 540, 1849, 690, 615, 267, 689, 519, 9998, 1974, 267, 609, 3140, 711, 1182, 540, 519, 1896, 1612, 8460, 267, 13039, 267, 3092, 269, 25201, 3820, 269, 8158, 593, 476, 2537, 5147, 476, 1001, 274, 563, 268, 5783, 540, 8581, 1107, 589, 11662, 540, 519, 29842, 534, 4004, 542, 269, 8581, 269, 836, 997, 534, 3820, 269, 8158, 593, 476, 2537, 5147, 476, 1001, 274, 563, 268, 634, 4144, 665, 3150, 540, 1849, 690, 615, 281, 9697, 1117, 23552, 454, 268, 8466, 1967, 687, 281, 1849, 690, 615, 910, 595, 13702, 5112, 781, 1849, 518, 673, 30615, 454, 268, 674, 787, 1372, 1696, 620, 269, 476, 2735, 277, 267, 18361, 540, 3703, 20048, 1108, 267, 6032, 269, 476, 29876, 1700, 26552, 563, 268, 29158, 476, 7277, 280, 267, 634, 19435, 540, 21853, 3122, 267, 6032, 269, 476, 10463, 1700, 6507, 563, 268, 28239, 344, 267, 9410, 1299, 1635, 337, 928, 476, 2735, 275, 267, 589, 1715, 3778, 540, 8581, 267, 4320, 26577, 267, 6032, 269, 476, 24129, 1700, 22550, 563, 268, 834, 18184, 532, 9730, 5240, 1107, 4728, 476, 1220, 276, 2668, 5783, 540, 8581, 269, 476, 1428, 4728, 476, 1220, 276, 269, 5291, 2517, 4178, 269, 790, 1633, 269, 836, 997, 534, 3820, 27651, 21703, 286, 4777, 284, 18080, 261, 18080, 573, 284, 279, 6246, 563, 268, 3026, 650, 267, 15623, 630, 1960, 276, 1040, 834, 305, 339, 4860, 23583, 5062, 300, 1638, 534, 2668, 8278, 3380, 807, 1546, 3220, 636, 281, 1234, 3712, 27928, 540, 519, 3474, 880, 540, 3220, 3518, 1122, 267, 4144, 665, 3150, 540, 13560, 269, 5291, 2517, 5894, 14315, 2593, 270, 9248, 7933, 337, 3518, 1122, 7933, 337, 3518, 1122, 273, 11258, 258, 332, 9492, 1638, 534, 269, 8158, 476, 2641, 4873, 476, 1220, 280, 563, 268, 834, 5141, 690, 615, 4144, 665, 3150, 3081, 24214, 6202, 547, 1427, 3931, 24649, 2668, 5783, 540, 8581, 269, 476, 1428, 4728, 476, 1220, 276, 269, 5291, 2517, 4178, 269, 790, 1633, 269, 836, 997, 534, 3820, 270, 1105, 1161, 9706, 816, 516, 548, 1162, 270, 1440, 1105, 633, 1220, 272, 270, 7315, 26078, 11258, 563, 268, 674, 787, 1372, 1696, 620, 269, 476, 2735, 277, 267, 18361, 540, 3703, 20048, 1108, 267, 6032, 269, 476, 4343, 273, 1700, 4343, 274, 563, 268, 29158, 476, 7277, 280, 267, 634, 19435, 540, 21853, 3122, 267, 6032, 269, 476, 6507, 1700, 10019, 563, 268, 28239, 344, 267, 9410, 1299, 1635, 337, 928, 476, 2735, 275, 267, 589, 1715, 3778, 540, 8581, 267, 4320, 26577, 267, 6032, 269, 476, 31256, 1700, 4375, 278, 269, 0, 30531, 8314, 568, 519, 4102, 15170, 676, 2344, 3854, 5314, 543, 519, 1034, 1134, 1634, 15170, 269, 634, 11670, 23204, 729, 1101, 5950, 538, 476, 1220, 279, 676, 606, 20822, 4137, 676, 519, 2012, 540, 9045, 25493, 26981, 558, 9369, 538, 513, 1957, 1572, 281, 834, 30531, 8314, 281, 589, 25398, 547, 25398, 18329, 22418, 3590, 6100, 901, 1957, 6069, 519, 19577, 540, 4518, 7014, 607, 513, 3070, 547, 519, 834, 29602, 6108, 257, 1966, 7915, 538, 3059, 9304, 563, 13707, 3761, 540, 9779, 23915, 568, 1309, 5529, 693, 476, 2641, 2929, 269, 634, 10545, 1770, 568, 519, 476, 279, 628, 8918, 1747, 267, 476, 271, 269, 1822, 1822, 4905, 645, 12839, 799, 568, 1572, 513, 9045, 25493, 630, 528, 2893, 1040, 634, 3060, 568, 9738, 676, 19379, 945, 19472, 543, 2328, 8852, 883, 519, 11670, 9893, 3842, 519, 19577, 540, 4518, 7014, 269, 3687, 619, 616, 10996, 643, 2213, 676, 1373, 30039, 609, 9779, 23915, 269, 901, 8007, 568, 10300, 1386, 5111, 1169, 476, 275, 1296, 269, 0, 763, 2035, 540, 1761, 3977, 543, 519, 3977, 7934, 616, 3844, 547, 519, 22558, 293, 779, 10763, 960, 538, 3246, 3609, 7840, 547, 4759, 6608, 269, 901, 1883, 1909, 814, 25623, 1382, 693, 519, 22558, 293, 547, 1020, 543, 13217, 16759, 2553, 269, 901, 1957, 26564, 519, 12191, 543, 2164, 540, 22558, 293, 1382, 593, 1761, 3977, 267, 799, 814, 5631, 5059, 593, 519, 4853, 2477, 267, 855, 811, 5063, 814, 9619, 2152, 1644, 547, 3384, 2477, 543, 2477, 538, 5912, 269, 898, 1287, 11828, 519, 4485, 602, 2197, 11380, 10492, 946, 585, 10512, 5301, 267, 543, 6799, 9193, 540, 1761, 3977, 585, 519, 2101, 4853, 2477, 269, 1496, 297, 5085, 281, 661, 274, 14073, 763, 2035, 540, 1761, 3977, 543, 519, 3977, 7934, 616, 3844, 547, 519, 22558, 293, 779, 10763, 960, 538, 3246, 3609, 7840, 547, 4759, 2197, 6608, 269, 11724, 532, 519, 4346, 779, 3761, 2427, 267, 1761, 3977, 568, 519, 5021, 3977, 606, 4346, 666, 2844, 1510, 10451, 513, 4473, 538, 10637, 269, 3683, 519, 5420, 2165, 267, 519, 6059, 7678, 538, 1761, 3977, 2337, 3313, 519, 10605, 540, 4264, 2208, 269, 769, 519, 2110, 2165, 267, 9193, 540, 519, 7934, 1063, 4890, 543, 1761, 3977, 1683, 513, 1883, 25162, 1996, 799, 547, 2708, 10637, 776, 12503, 269, 15783, 3977, 543, 519, 3977, 7934, 616, 1031, 538, 7814, 1227, 14577, 4632, 547, 2992, 519, 2157, 602, 1131, 2291, 952, 519, 4346, 941, 538, 9444, 513, 21748, 6862, 606, 10637, 776, 7269, 269, 1280, 1383, 267, 547, 15378, 3356, 538, 16642, 28051, 267, 513, 7814, 1227, 14661, 6578, 3666, 2488, 513, 2268, 540, 519, 5817, 610, 7293, 16642, 2990, 267, 799, 568, 519, 4890, 6578, 3666, 22621, 585, 519, 2360, 540, 11651, 326, 1878, 540, 4890, 689, 1761, 3977, 269, 25824, 2209, 540, 2477, 685, 1483, 5385, 3928, 1759, 593, 7814, 1227, 14661, 1770, 4074, 3790, 616, 849, 3730, 585, 5464, 5322, 538, 3486, 28211, 563, 763, 1883, 1909, 5129, 676, 519, 1523, 540, 1761, 3977, 538, 519, 13178, 960, 540, 519, 22558, 293, 814, 25623, 1382, 547, 1020, 543, 13217, 16759, 2553, 269, 4107, 540, 713, 1382, 814, 13671, 593, 519, 2504, 1599, 1935, 267, 799, 2337, 547, 2697, 519, 2188, 7700, 547, 2242, 538, 519, 2208, 2557, 540, 1761, 3977, 936, 519, 2063, 1614, 5756, 269, 769, 1840, 267, 713, 1382, 814, 6462, 3646, 676, 22558, 293, 24192, 2324, 593, 1880, 2477, 610, 538, 513, 1617, 10561, 2796, 547, 7447, 1761, 3977, 585, 10512, 5301, 269, 898, 568, 1271, 547, 4063, 267, 2705, 267, 602, 2197, 11380, 10492, 616, 711, 8078, 539, 547, 1246, 513, 13387, 12191, 269, 13298, 267, 2197, 10391, 6381, 723, 22157, 547, 3310, 519, 12191, 1031, 538, 2474, 540, 519, 2489, 1935, 267, 519, 1808, 3877, 540, 519, 1935, 267, 543, 519, 6708, 547, 799, 10385, 568, 4547, 547, 7703, 593, 519, 2164, 269, 634, 14230, 540, 713, 1957, 26564, 519, 12191, 543, 2164, 540, 22558, 293, 1382, 593, 1761, 3977, 267, 799, 814, 5059, 5631, 593, 519, 4853, 2477, 267, 855, 811, 5063, 814, 9619, 2152, 1644, 547, 3384, 2477, 543, 2477, 538, 5912, 269, 898, 1287, 11828, 519, 4485, 2197, 11380, 10492, 946, 585, 10512, 5301, 543, 6799, 1699, 9193, 540, 1761, 3977, 585, 519, 2101, 4853, 2477, 267, 607, 5781, 3370, 538, 519, 22558, 293, 779, 2622, 9483, 31326, 563, 8379, 293, 3194, 593, 6480, 26305, 15783, 19243, 454, 22025, 1113, 3977, 543, 519, 3977, 7934, 616, 796, 10849, 5703, 4632, 543, 616, 2352, 547, 7447, 538, 513, 4625, 25685, 6073, 269, 634, 7839, 16126, 593, 1761, 3977, 607, 513, 1797, 540, 12570, 2804, 2534, 814, 8507, 538, 519, 1646, 540, 513, 3376, 2039, 540, 2553, 1765, 333, 821, 616, 1863, 689, 7965, 30147, 782, 547, 930, 6708, 7048, 593, 10385, 269, 22558, 293, 1382, 593, 21501, 1761, 3977, 814, 5631, 13671, 593, 3384, 543, 7311, 519, 2504, 1599, 1935, 585, 519, 4853, 2477, 269, 901, 1505, 12799, 3631, 3977, 538, 2474, 540, 5817, 3815, 11378, 543, 3322, 28408, 543, 21501, 2504, 3252, 602, 3095, 3977, 547, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 269, 15783, 3977, 568, 1287, 7229, 607, 519, 1377, 540, 3977, 602, 2164, 950, 519, 3928, 540, 4390, 13345, 616, 968, 7538, 2223, 950, 4074, 3403, 568, 5812, 609, 519, 2067, 2557, 540, 13864, 267, 543, 950, 2698, 3815, 7607, 568, 693, 922, 7678, 1377, 563, 763, 2504, 1599, 12191, 267, 607, 8045, 693, 519, 22558, 293, 267, 4564, 519, 1647, 2666, 1063, 513, 2407, 8397, 7293, 2203, 547, 3313, 1761, 3977, 543, 519, 811, 7344, 796, 21725, 4485, 971, 607, 519, 5302, 7757, 2389, 16781, 1935, 610, 519, 32095, 4459, 6261, 637, 22574, 6882, 269, 272, 6480, 11582, 12346, 593, 25412, 513, 6198, 1106, 593, 519, 2504, 1184, 267, 855, 1281, 711, 2154, 8763, 9781, 540, 519, 3747, 543, 3761, 540, 2188, 540, 2504, 610, 519, 21876, 540, 2698, 3815, 7607, 269, 901, 1935, 267, 2705, 267, 17697, 569, 17648, 602, 630, 272, 264, 538, 519, 2110, 2196, 267, 519, 1761, 11378, 540, 3854, 543, 4074, 666, 581, 5462, 676, 519, 2623, 540, 13864, 3448, 547, 922, 2067, 2557, 543, 519, 11539, 540, 3977, 689, 922, 3339, 1377, 282, 543, 630, 273, 264, 519, 2208, 540, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 22993, 538, 20327, 540, 1761, 3977, 666, 21230, 581, 1759, 593, 21520, 827, 3466, 538, 519, 12550, 324, 1595, 344, 563, 1607, 1935, 814, 513, 1297, 540, 5383, 936, 796, 21725, 2553, 269, 898, 2636, 585, 606, 8763, 8051, 585, 2208, 538, 2474, 540, 519, 7418, 540, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 269, 4475, 267, 621, 568, 2009, 547, 10250, 519, 1764, 540, 1585, 2250, 2804, 18063, 593, 1761, 3977, 267, 607, 1134, 607, 547, 7447, 519, 1764, 540, 1699, 610, 15810, 18063, 593, 2104, 2157, 540, 1761, 3977, 563, 2467, 616, 267, 2705, 267, 513, 1297, 540, 19363, 269, 634, 1239, 4170, 616, 1713, 267, 609, 930, 4632, 971, 607, 519, 3854, 6006, 3226, 2352, 547, 2268, 543, 9337, 269, 6271, 7411, 568, 602, 1483, 3977, 1821, 28179, 18928, 689, 519, 1377, 2016, 676, 3815, 11378, 267, 543, 519, 3017, 568, 2356, 607, 8282, 547, 2698, 3815, 7607, 2208, 269, 4595, 2698, 3815, 7607, 568, 711, 2047, 28507, 267, 21501, 922, 7678, 13514, 1082, 540, 519, 1482, 2591, 543, 24604, 607, 21501, 1761, 3977, 563, 9209, 639, 630, 3192, 278, 264, 729, 519, 1101, 22558, 293, 1382, 1353, 547, 9772, 519, 2504, 1599, 1505, 547, 7447, 1761, 3977, 269, 273, 589, 29154, 321, 5937, 537, 6921, 553, 2504, 1599, 609, 3586, 2671, 6724, 585, 4074, 543, 3854, 729, 1031, 607, 513, 7811, 4493, 538, 21501, 5812, 1761, 3977, 3126, 538, 519, 5663, 5823, 585, 5216, 4853, 2477, 585, 519, 1974, 476, 4198, 276, 1700, 4037, 267, 543, 1788, 532, 891, 3126, 585, 519, 5420, 2165, 630, 3192, 277, 1700, 4281, 1040, 623, 944, 539, 942, 1606, 7685, 3444, 16687, 9695, 2553, 941, 1031, 547, 1450, 585, 513, 3677, 1297, 540, 4632, 27137, 607, 519, 4720, 540, 519, 1611, 2085, 540, 519, 3854, 6006, 267, 519, 2333, 538, 519, 3902, 540, 1648, 267, 543, 824, 2188, 1808, 547, 1978, 2477, 23121, 581, 3144, 883, 2272, 538, 21501, 1761, 3977, 269, 14502, 3356, 729, 5701 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26780, 281, 589, 3122, 1355, 476, 4198, 271, 21096, 568, 16144, 2509, 3047, 693, 513, 1360, 3728, 2557, 543, 519, 16580, 1522, 1439, 519, 1272, 593, 519, 4541, 267, 621, 814, 1044, 4080, 563, 288, 3122, 1355, 799, 814, 476, 272, 267, 1822, 15432, 538, 8006, 1223, 2387, 8243, 1662, 319, 883, 519, 4541, 693, 5176, 476, 2412, 267, 1822, 5195, 829, 5662, 267, 799, 1223, 2014, 606, 16411, 540, 13778, 17114, 267, 24254, 5458, 20016, 600, 529, 5827, 540, 8720, 3003, 4872, 267, 519, 11545, 10060, 4080, 563, 22498, 5049, 1022, 20503, 609, 513, 8006, 540, 936, 476, 2004, 15432, 607, 513, 1761, 834, 322, 640, 10275, 14525, 2668, 634, 4224, 814, 1044, 10413, 1782, 998, 2230, 865, 3728, 602, 621, 814, 4810, 834, 17463, 8904, 8487, 2704, 1301, 5944, 519, 4224, 814, 513, 476, 4968, 270, 272, 4960, 540, 11495, 3047, 609, 519, 1699, 10567, 1764, 5116, 693, 4728, 476, 1626, 267, 476, 25971, 271, 269, 15907, 476, 5780, 332, 1296, 3516, 513, 9649, 20503, 1835, 14414, 1524, 538, 6792, 267, 530, 31441, 856, 519, 2063, 540, 519, 17878, 607, 1134, 607, 1034, 540, 519, 4541, 26141, 2030, 1272, 563, 5415, 689, 3127, 454, 5415, 689, 2622, 454, 5415, 689, 11846, 454, 5415, 689, 9373, 339, 2727, 550, 454, 268, 476, 2190, 4666, 1310, 10935, 8876, 476, 2412, 11503, 3278, 538, 5757, 717, 18553, 538, 4793, 3534, 282, 1082, 1869, 7508, 454, 268, 3733, 4651, 4941, 803, 547, 581, 513, 812, 540, 1915, 281, 18937, 329, 582, 19453, 590, 1342, 16852, 454, 268, 3220, 4427, 327, 1662, 932, 18588, 8058, 281, 1548, 4162, 5581, 513, 3020, 6205, 888, 268, 12875, 1235, 26600, 547, 2494, 8932, 607, 6777, 6420, 3217, 513, 2110, 2736, 454, 268, 1772, 13019, 327, 3796, 327, 962, 611, 822, 6772, 8504, 12356, 607, 25109, 599, 600, 19453, 16957, 888, 268, 2806, 20130, 515, 330, 29732, 2559, 8761, 519, 4090, 950, 589, 880, 342, 776, 320, 681, 2967, 1767, 1412, 13433, 262, 547, 1864, 454, 268, 3127, 5288, 4789, 267, 476, 272, 560, 744, 14888, 281, 1306, 621, 5949, 2483, 268, 3127, 5288, 4789, 267, 623, 2317, 744, 14888, 281, 9049, 20144, 18223, 1869, 519, 20148, 282, 12410, 806, 5164, 520, 918, 2129, 2993, 609, 5544, 593, 667, 11965, 1289, 2443, 654, 2969, 6224, 454, 268, 3127, 5288, 4789, 267, 476, 272, 560, 744, 14888, 281, 24497, 747, 663, 3757, 1306, 3369, 514, 2848, 1023, 519, 1397, 609, 5458, 3670, 2443, 654, 2969, 6224, 454, 268, 8891, 1503, 3902, 554, 27419, 676, 476, 5655, 533, 9820, 320, 829, 1396, 516, 267, 17088, 676, 12652, 476, 272, 269, 6734, 513, 1396, 516, 0, 7617, 4845, 1655, 6257, 519, 8783, 4162, 540, 10145, 14235, 286, 910, 2005, 568, 2141, 1500, 909, 540, 5216, 24424, 543, 2760, 30053, 269, 910, 2005, 568, 538, 1775, 3711, 545, 20008, 600, 2678, 543, 3085, 1405, 22565, 269, 910, 2005, 666, 581, 538, 1022, 2186, 540, 11281, 855, 1590, 2760, 22565, 269, 910, 2005, 568, 538, 1775, 3711, 545, 20008, 600, 2678, 543, 1590, 2141, 22565, 269, 0, 1103, 2296, 8239, 267, 513, 27612, 1797, 519, 3280, 540, 20262, 602, 649, 5873, 267, 950, 649, 24969, 513, 2262, 563, 289, 820, 910, 649, 24969, 899, 910, 15922, 1341, 737, 269, 972, 568, 835, 20262, 3280, 538, 519, 2262, 269, 1924, 972, 568, 835, 27612, 563, 5278, 1913, 723, 1079, 610, 811, 24008, 538, 5311, 269, 1703, 849, 621, 1223, 581, 835, 27612, 269, 634, 27901, 1412, 344, 262, 568, 2808, 607, 513, 20262, 267, 585, 519, 3483, 540, 24424, 269, 1280, 1383, 2073, 3956, 910, 814, 835, 27612, 269, 17237, 814, 1079, 14598, 1341, 575, 787, 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 ]
[ 568, 3177, 585, 1344, 5301, 1152, 543, 621, 568, 2489, 1344, 711, 1808, 538, 1022, 1259, 547, 1022, 1880, 20090, 267, 20090, 1826, 267, 4640, 267, 5092, 991, 610, 824, 2883, 25896, 269, 1306, 971, 713, 1344, 568, 711, 2883, 5796, 610, 513, 2883, 13319, 267, 6862, 568, 621, 5497, 547, 3310, 606, 20090, 781, 3375, 547, 1902, 269, 898, 568, 711, 547, 581, 1526, 29471, 607, 606, 2709, 547, 4444, 610, 6133, 610, 1151, 545, 2787, 540, 606, 2709, 547, 4444, 610, 6133, 1022, 2883, 7405, 610, 547, 7119, 538, 1022, 1880, 9467, 4640, 538, 1022, 16278, 269, 634, 1570, 568, 1152, 5497, 585, 7606, 945, 11886, 519, 7355, 547, 581, 9286, 607, 968, 32153, 1849, 1801, 892, 607, 3989, 896, 519, 667, 293, 6347, 3652, 543, 1058, 711, 581, 12649, 267, 4607, 267, 3177, 547, 610, 16941, 2390, 676, 1022, 824, 1268, 269, 2136, 6259, 2506, 29521, 630, 308, 6993, 9950, 2567, 634, 1344, 8659, 23954, 568, 14311, 9619, 547, 519, 18579, 269, 634, 5356, 540, 1978, 2472, 538, 713, 3561, 814, 711, 1044, 543, 786, 711, 581, 10805, 609, 519, 6239, 7813, 540, 2136, 6259, 2506, 29521, 610, 1530, 15247, 1299, 2155, 617, 885, 16958, 538, 519, 2136, 6259, 2506, 29521, 269, 7102, 2472, 538, 713, 3561, 602, 616, 1373, 6035, 610, 4421, 798, 711, 13822, 513, 1857, 5356, 610, 3892, 540, 19736, 896, 519, 10858, 4031, 543, 6042, 540, 519, 2136, 6259, 2506, 29521, 269, 901, 3561, 568, 711, 5497, 585, 10009, 610, 3892, 538, 610, 883, 519, 32329, 267, 824, 982, 547, 7606, 538, 519, 32329, 547, 7247, 971, 10009, 610, 3892, 568, 15868, 676, 267, 610, 568, 23614, 689, 519, 4170, 540, 267, 519, 10858, 4031, 543, 6042, 540, 519, 2136, 6259, 2506, 29521, 269, 634, 3892, 540, 519, 1344, 8659, 23954, 676, 519, 18579, 568, 19275, 269, 7316, 10858, 267, 713, 3561, 12211, 547, 19736, 799, 616, 7396, 3544, 540, 519, 26512, 667, 4725, 328, 1530, 15247, 16510, 543, 519, 29903, 11038, 10369, 269, 634, 7813, 540, 14135, 17290, 568, 711, 17101, 547, 1683, 5092, 1382, 3823, 19736, 7396, 593, 519, 15377, 540, 519, 2136, 6259, 2506, 29521, 799, 616, 3544, 540, 519, 667, 9281, 290, 269, 2136, 8003, 281, 769, 519, 2136, 8003, 267, 713, 3561, 568, 1373, 1500, 2139, 1152, 547, 519, 1268, 610, 519, 11769, 547, 7247, 621, 568, 9859, 1373, 7606, 547, 7247, 621, 949, 1876, 2685, 581, 9859, 896, 10858, 4031, 543, 6042, 540, 519, 2136, 8003, 630, 7945, 7606, 616, 1934, 2088, 1123, 5219, 547, 607, 2048, 516, 10589, 7606, 685, 1040, 22353, 267, 713, 3561, 568, 28078, 1152, 547, 4143, 7606, 269, 31080, 945, 616, 711, 4143, 7606, 1590, 711, 957, 593, 610, 7048, 593, 713, 3561, 610, 1022, 540, 922, 9115, 269, 7102, 5092, 610, 5092, 2534, 547, 799, 713, 3561, 12211, 568, 2139, 1152, 547, 4143, 7606, 543, 786, 581, 7722, 538, 1152, 609, 4143, 7606, 269, 31999, 7606, 538, 2256, 18967, 540, 713, 3561, 1590, 711, 15814, 267, 15476, 267, 16196, 267, 610, 30035, 713, 3561, 630, 514, 2898, 610, 538, 851, 264, 547, 1022, 1268, 945, 568, 711, 513, 4143, 1268, 269, 2136, 2276, 540, 3013, 281, 901, 1587, 949, 711, 581, 4421, 610, 6035, 1369, 519, 2136, 2276, 610, 547, 772, 2529, 269, 7606, 563, 1103, 15173, 15158, 267, 7813, 540, 14135, 17290, 568, 513, 7936, 540, 7813, 540, 14135, 17290, 11368, 538, 14135, 609, 3908, 15668, 563, 15100, 476, 1708, 271, 7813, 540, 14135, 17290, 269, 2353, 2924, 11603, 563, 309, 619, 542, 281, 5147, 476, 1708, 271, 0, 2252, 596, 723, 610, 723, 1185, 1414, 1738, 320, 1928, 267, 596, 917, 875, 24858, 543, 11213, 621, 666, 581, 269, 4653, 267, 649, 786, 2911, 827, 1018, 1414, 1738, 320, 568, 543, 1018, 596, 666, 798, 547, 948, 8897, 519, 1928, 563, 1432, 568, 1414, 1738, 320, 888, 306, 857, 1738, 320, 568, 513, 1928, 602, 8255, 1524, 519, 1394, 540, 519, 1850, 267, 2250, 519, 12597, 543, 883, 519, 2539, 1850, 610, 3723, 269, 2368, 1004, 4766, 1928, 538, 519, 12765, 4169, 267, 25637, 267, 1394, 543, 4395, 540, 519, 1850, 269, 1717, 267, 8259, 621, 11498, 547, 519, 2539, 1850, 610, 3723, 267, 621, 568, 29748, 1928, 269, 634, 1414, 1738, 8229, 8371, 1524, 707, 2539, 1394, 267, 14178, 2429, 519, 25637, 267, 12765, 4169, 543, 1524, 1142, 1850, 269, 898, 568, 519, 13074, 8229, 538, 519, 1560, 563, 8005, 4991, 1414, 1738, 320, 888, 306, 857, 1738, 320, 568, 3335, 3361, 676, 513, 1200, 333, 7007, 12210, 610, 28115, 894, 12263, 540, 519, 12636, 269, 898, 666, 849, 2049, 1282, 6379, 267, 607, 972, 568, 2799, 2604, 593, 519, 8229, 689, 519, 3395, 19786, 269, 25175, 666, 1205, 1414, 1738, 320, 267, 855, 621, 2356, 4386, 547, 1346, 1063, 519, 6502, 540, 476, 1789, 268, 2004, 563, 4322, 616, 930, 2596, 7575, 596, 666, 798, 547, 13468, 519, 1928, 267, 855, 596, 1058, 2911, 547, 513, 25280, 1354, 4152, 873, 856, 563, 268, 918, 928, 525, 547, 30446, 853, 4958, 577, 281, 20233, 593, 707, 1394, 543, 3142, 835, 12597, 693, 513, 942, 909, 2509, 707, 9221, 269, 15579, 621, 585, 4557, 7643, 543, 14595, 7953, 563, 268, 1530, 730, 1975, 1400, 853, 4958, 577, 281, 23063, 538, 513, 11381, 6849, 4464, 269, 2755, 5329, 707, 7953, 2786, 538, 4395, 540, 596, 267, 6335, 782, 519, 1259, 547, 519, 1318, 267, 1178, 25290, 519, 1394, 540, 519, 11381, 269, 15579, 585, 4557, 7643, 543, 6467, 5011, 563, 268, 590, 9231, 623, 15607, 517, 281, 23063, 593, 519, 6989, 609, 707, 7953, 856, 538, 4395, 540, 596, 269, 645, 754, 707, 1318, 1850, 267, 11093, 519, 21721, 593, 1283, 540, 519, 2451, 12597, 269, 853, 4958, 577, 707, 5580, 1560, 4464, 267, 19755, 9900, 269, 15579, 585, 19939, 7643, 543, 10956, 593, 519, 824, 2427, 563, 1432, 3502, 547, 1684, 454, 27269, 267, 1414, 1738, 320, 1928, 568, 1317, 1945, 3116, 568, 4929, 519, 2604, 610, 8082, 593, 519, 8229, 269, 901, 568, 1946, 621, 779, 1271, 547, 1265, 513, 13931, 25280, 547, 4217, 596, 609, 4466, 519, 3020, 2014, 3079, 540, 1152, 2519, 593, 519, 8229, 269, 14171, 6927, 883, 707, 1378, 3946, 949, 1439, 909, 4929, 2417, 1928, 610, 5945, 563, 2252, 596, 2461, 2348, 1928, 543, 1589, 621, 949, 581, 1414, 1738, 320, 1928, 267, 1810, 1406, 7227, 269, 28651, 856, 547, 606, 4274, 693, 11759, 8447, 10657, 2221, 269, 1284, 2461, 1934, 547, 948, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5635, 1114, 771, 26529, 5650, 269, 476, 277, 5174, 288, 7494, 4299, 538, 20117, 10661, 540, 25243, 3595, 628, 1941, 9136, 630, 8368, 476, 272, 1040, 14608, 14688, 811, 9136, 941, 3964, 1210, 5420, 5627, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 1287, 824, 5574, 5627, 476, 277, 5174, 288, 269, 1703, 729, 1100, 1713, 3017, 1063, 519, 1297, 540, 9136, 3964, 593, 1852, 5420, 630, 271, 18725, 332, 264, 543, 5420, 609, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 269, 23554, 30826, 540, 1082, 2890, 3333, 334, 1824, 7018, 593, 5420, 21284, 609, 476, 1556, 18725, 332, 476, 277, 5174, 288, 563, 19859, 3333, 2393, 10661, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 593, 5420, 345, 5627, 476, 277, 1532, 20044, 2643, 3133, 641, 584, 710, 630, 277, 5174, 288, 1916, 763, 5834, 540, 594, 10621, 3648, 6766, 20436, 566, 540, 25753, 2280, 9605, 628, 1941, 2890, 3333, 334, 1824, 630, 8368, 476, 273, 1040, 634, 5207, 1297, 540, 2890, 3333, 334, 1824, 729, 5833, 593, 5420, 5627, 476, 272, 269, 276, 18725, 332, 594, 10621, 269, 634, 9803, 2557, 540, 18735, 729, 593, 5420, 29979, 609, 476, 273, 18725, 332, 594, 10621, 267, 543, 729, 3648, 2539, 982, 519, 2557, 540, 519, 1852, 543, 519, 476, 272, 269, 271, 18725, 332, 2126, 563, 763, 1198, 540, 1585, 2923, 345, 593, 2890, 3333, 334, 1824, 18735, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 563, 19859, 12827, 14005, 540, 623, 269, 9279, 322, 13810, 1223, 711, 581, 12082, 593, 9049, 5420, 609, 610, 1510, 18559, 514, 267, 835, 28451, 9049, 1510, 18559, 514, 267, 543, 835, 21144, 628, 9049, 693, 1447, 982, 476, 10619, 18725, 332, 594, 10621, 630, 11907, 711, 3254, 1040, 2290, 28451, 4222, 9049, 5420, 29979, 609, 1585, 9830, 540, 594, 10621, 6462, 1360, 2370, 3597, 5250, 593, 2890, 3333, 334, 1824, 630, 11907, 711, 3254, 1040, 476, 273, 267, 275, 5937, 3648, 8476, 3597, 532, 540, 623, 269, 9279, 322, 13810, 2890, 3333, 334, 1824, 269, 3143, 5072, 4646, 593, 519, 1852, 630, 271, 264, 610, 476, 273, 269, 274, 18725, 332, 476, 273, 267, 275, 5937, 269, 634, 1840, 540, 476, 275, 269, 277, 543, 476, 277, 269, 280, 18725, 332, 540, 476, 273, 267, 275, 5937, 547, 519, 5420, 3648, 2799, 519, 6871, 540, 2890, 3333, 334, 1824, 602, 12082, 269, 634, 5207, 3597, 532, 6871, 267, 476, 6872, 9077, 729, 5833, 593, 519, 5420, 609, 476, 277, 269, 280, 18725, 332, 267, 799, 729, 3648, 2362, 982, 689, 782, 824, 5574, 269, 1717, 267, 476, 280, 18725, 332, 476, 273, 267, 275, 5937, 3648, 8519, 519, 3597, 532, 6871, 269, 634, 1297, 540, 519, 5072, 829, 2890, 12827, 1154, 1185, 519, 2147, 7678, 607, 519, 3597, 532, 6871, 630, 8368, 476, 274, 1916, 763, 1198, 540, 476, 273, 267, 275, 5937, 593, 2890, 3333, 2393, 3597, 5250, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 1310, 476, 274, 3275, 563, 19859, 3333, 334, 1824, 540, 623, 269, 9279, 322, 13810, 12082, 538, 835, 21144, 628, 9049, 5420, 29979, 609, 1164, 9830, 540, 594, 10621, 630, 8368, 476, 275, 1040, 681, 17415, 6871, 540, 2890, 3333, 334, 1824, 3648, 2799, 609, 2810, 9830, 540, 594, 10621, 5834, 267, 855, 3648, 8519, 693, 519, 5834, 540, 476, 7176, 18725, 332, 594, 10621, 269, 634, 1655, 5420, 585, 3597, 532, 540, 623, 269, 9279, 322, 13810, 2890, 12827, 14005, 729, 835, 21144, 628, 9049, 5627, 476, 11152, 18725, 332, 594, 10621, 269, 23839, 29979, 609, 476, 10019, 267, 476, 8660, 267, 610, 476, 11152, 18725, 332, 594, 10621, 14001, 3597, 5250, 543, 1185, 519, 2147, 1198, 593, 519, 1297, 540, 5072, 829, 2890, 12827, 1154, 267, 799, 729, 3648, 2362, 982, 519, 5834, 540, 594, 10621, 2539, 982, 2901, 476, 10619, 610, 476, 7176, 18725, 332, 594, 10621, 630, 8368, 476, 275, 1040, 1717, 267, 789, 1185, 1114, 1198, 593, 519, 3597, 532, 6871, 540, 623, 269, 9279, 322, 13810, 269, 23839, 29979, 609, 476, 271, 547, 476, 13040, 18725, 332, 715, 8150, 729, 849, 7318, 267, 855, 1705, 711, 16578, 3597, 532, 630, 11907, 711, 3254, 1916, 763, 1198, 540, 967, 1961, 268, 274, 1532, 14280, 878, 3679, 630, 296, 10621, 264, 593, 4417, 25875, 3597, 5250, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 1310, 476, 277, 4374, 563, 10907, 743, 574, 26494, 543, 13003, 532, 563, 301, 27197, 19317, 2600, 540, 519, 2030, 7410, 15068, 24328, 543, 1035, 743, 11582, 547, 8511, 2825, 2175, 630, 8993, 269, 476, 272, 1916, 6624, 29762, 25798, 2371, 616, 1360, 973, 531, 31842, 7949, 547, 3543, 894, 18640, 676, 6671, 5969, 2409, 269, 4475, 267, 538, 20117, 18640, 1505, 814, 1044, 2919, 267, 855, 1142, 2249, 949, 2154, 513, 1360, 1114, 7014, 609, 1114, 2591, 269, 634, 2009, 4128, 585, 7411, 585, 538, 20117, 18640, 1331, 1164, 12526, 2557, 693, 519, 3355, 3942, 267, 519, 12214, 4567, 540, 519, 1011, 1218, 267, 543, 5924, 741, 3500, 3395, 4162, 630, 290, 1156, 267, 476, 1960, 276, 282, 18000, 543, 667, 807, 267, 476, 1960, 272, 1040, 14863, 18959, 3599, 540, 519, 1011, 656, 568, 835, 540, 519, 1034, 1271, 7687, 585, 9070, 908, 29762, 2249, 267, 799, 2356, 7753, 676, 1210, 22270, 514, 514, 547, 2736, 18959, 3599, 269, 1717, 267, 519, 16789, 5834, 540, 22270, 514, 514, 1419, 3123, 3857, 30826, 540, 519, 1011, 656, 630, 295, 534, 1478, 543, 3223, 987, 2917, 267, 476, 2735, 279, 1040, 769, 713, 1382, 585, 623, 269, 9279, 322, 13810, 267, 649, 1031, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 547, 20006, 9496, 2208, 543, 18735, 267, 543, 713, 5834, 814, 1044, 4080, 607, 5078, 585, 519, 2890, 3333, 2393, 10661, 540, 1082, 2249, 267, 1519, 590, 9200, 1014, 1714, 332, 630, 308, 331, 16443, 533, 636, 10042, 264, 630, 10267, 978, 543, 26757, 267, 476, 1960, 276, 1040, 1744, 2393, 18735, 540, 623, 269, 9279, 322, 13810, 729, 4299, 676, 519, 5834, 540, 18559, 514, 543, 519, 8770, 6070, 1543, 540, 2923, 269, 1284, 1336, 602, 6175, 540, 519, 5672, 1258, 22021, 1543, 538, 519, 2528, 5420, 2799, 519, 9496, 18735, 2557, 269, 769, 713, 3942, 267, 519, 22534, 7139, 11717, 730, 1510, 4946, 1022, 608, 18100, 22270, 514, 514, 267, 543, 729, 4440, 1813, 547, 519, 1164, 1439, 18100, 22270, 514, 1231, 538, 2890, 3333, 334, 1824, 610, 519, 12802, 540, 608, 18100, 476, 277, 5174, 288, 538, 519, 5420, 1031, 538, 519, 10661, 3942, 630, 11390, 951, 1696, 620, 1421, 476, 2735, 275, 1040, 4329, 1382, 568, 2877, 593, 519, 9496, 18735, 3942, 540, 623, 269, 9279, 322, 13810, 563, 305, 2393, 5250, 540, 623, 269, 9279, 322, 13810, 729, 3648, 4299, 676, 519, 18559, 514, 2010, 543, 5834, 267, 543, 519, 5672, 1258, 19153, 8659, 538, 519, 2923, 269, 634, 2164, 538, 713, 1353, 8612, 602, 519, 2539, 1543, 540, 5672, 1258, 19153, 538, 519, 2528, 5420, 4824, 9496, 18735, 269, 2290, 1713, 3017, 538, 713, 1353, 689, 1082, 824, 25132, 1886, 698, 566, 2090, 729, 519, 946, 540, 476, 273, 267, 275, 5937, 607, 519, 18559, 514, 585, 3597, 532, 267, 799, 729, 10355, 4080, 538, 25132, 1886, 698, 566, 630, 1320, 752, 584, 543, 20855, 8705, 267, 476, 1220, 279, 1040, 6271, 11495, 3017, 568, 519, 946, 540, 5393, 1164, 5834, 540, 594, 10621, 267, 799, 3648, 2799, 519, 3597, 532, 6871, 689, 476, 271, 260, 547, 476, 6507, 260, 538, 476, 272, 269, 276, 3275, 269, 4014, 519, 5393, 1164, 5834, 540, 594, 10621, 4080, 1934, 585, 3597, 15632, 568, 711, 4122, 1031, 267, 621, 1185, 1044, 4080, 585, 3597, 532, 22612, 538, 2699, 321, 644, 630, 290, 2075, 529, 666, 611, 18424, 264, 630, 291, 2967, 1696, 620, 1421, 476, 1220, 276, 1040, 634, 1164, 18559, 514, 5834, 2877, 585, 1802, 1424, 5072, 267, 568, 4440, 1317, 519, 25243, 3595, 628, 1941, 568, 513, 29762, 2030, 267, 799, 616, 7363, 2352, 547, 3597, 630, 291, 597, 337, 543, 1261, 12528, 267, 476, 1220, 280, 1040, 901, 949, 849, 2491, 1946, 476, 273, 267, 275, 5937, 1223, 16578, 5072, 607, 621, 568, 513, 2178, 10991, 18559, 514, 269, 4495, 12082, 267, 519, 2030, 7410, 666, 581, 11843, 543, 1035, 743, 13846, 547, 19355, 1604, 269, 901, 25132, 1886, 698, 566, 7014, 2636, 547, 5732, 7372, 2504, 540, 16918, 10351, 680, 11047, 610, 9241, 5950, 28212, 540, 623, 269, 9279, 322, 13810, 563, 288, 22894, 267, 570, 1421, 1323, 559, 534, 267, 645, 1421, 717, 3073, 21343, 267, 589, 269, 1299, 13019, 541, 267, 590, 11053, 269, 476, 1220, 280, 10495, 540, 524, 566, 545, 20004, 19777, 26975, 4162, 540, 15860, 543, 1875, 8410, 14846, 13947, 281, 12877, 2350, 13183, 320, 9279, 322, 13810, 15708, 808, 269, 32126, 269, 631, 831, 269, 476, 12739, 476, 9873, 273, 476, 9873, 280, 454, 288, 11899, 1075, 267, 715, 1421, 744, 5414, 13424, 267, 594, 15660, 1421, 962, 553, 541, 267, 772, 1421, 2274, 1076, 321, 545, 328, 267, 2098, 269, 1299, 962, 541, 857, 267, 595, 269, 476, 1001, 271, 2422, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 10162, 655, 607, 513, 2009, 8790, 517, 3218, 585, 519, 5697, 5230, 8407, 2271, 331, 269, 808, 269, 30287, 269, 2233, 269, 3353, 565, 269, 476, 278, 476, 274, 476, 275, 2767, 476, 275, 4097, 454, 290, 1156, 267, 2098, 269, 476, 1960, 276, 769, 20117, 2528, 540, 24972, 12734, 2371, 269, 4457, 11982, 4964, 267, 19864, 267, 3624, 454, 291, 2967, 267, 654, 1421, 10496, 13196, 267, 966, 1421, 670, 9007, 267, 667, 269, 1299, 4258, 978, 267, 2098, 11607, 300, 269, 476, 1220, 276, 12130, 1886, 1886, 698, 566, 540, 513, 4411, 25836, 5542, 540, 595, 2075, 4593, 534, 611, 18424, 700, 269, 998, 2582, 5991, 1712, 2528, 808, 269, 30287, 269, 29088, 269, 476, 2537, 476, 7918, 476, 6812, 454, 291, 597, 337, 267, 631, 6993, 269, 1299, 1261, 12528, 267, 808, 5861, 15030, 269, 476, 1220, 280, 13129, 15015, 540, 8381, 344, 7233, 31666, 566, 454, 293, 4815, 267, 717, 10611, 1421, 645, 23158, 267, 589, 1421, 2859, 25651, 267, 594, 269, 1299, 8751, 11726, 267, 674, 269, 476, 1220, 271, 4469, 822, 517, 1355, 3892, 538, 12877, 2350, 13183, 320, 9279, 322, 13810, 2371, 693, 1114, 2208, 11775, 4437, 32554, 269, 5204, 560, 269, 661, 3712, 269, 476, 2764, 476, 6858, 274, 476, 277, 4281, 454, 298, 525, 518, 267, 590, 269, 476, 1001, 275, 14640, 2784, 673, 2238, 543, 20239, 12950, 7135, 540, 3595, 628, 1941, 630, 13695, 2350, 13183, 320, 9279, 322, 13810, 264, 4829, 21555, 14844, 269, 1160, 323, 269, 1763, 269, 476, 2764, 476, 736, 476, 9965, 280, 476, 9692, 275, 454, 11390, 951, 267, 595, 1421, 21676, 332, 753, 267, 631, 1421, 21676, 332, 753, 8566, 650, 11726, 338, 267, 631, 12171, 269, 1299, 16629, 1706, 267, 570, 269, 476, 2735, 275, 4284, 8344, 543, 23020, 2621, 3056, 547, 3857, 30826, 540, 2371, 31796, 538, 20117, 4284, 2723, 269, 7233, 269, 476, 8618, 476, 272, 476, 7597, 476, 10619, 454, 30469, 1889, 345, 267, 2098, 1421, 7843, 601, 267, 674, 1421, 717, 758, 339, 24642, 267, 589, 269, 1299, 962, 320, 27256, 690, 1663, 267, 2098, 269, 476, 1220, 278, 6356, 540, 4411, 32756, 5574, 593, 23286, 540, 10980, 27031, 19211, 5452, 808, 269, 30287, 269, 22776, 269, 476, 2764, 476, 273, 476, 4510, 278, 1700, 28526, 454, 22025, 614, 267, 667, 1421, 661, 686, 802, 5459, 267, 570, 1421, 27213, 267, 681, 5861, 1421, 7937, 267, 590, 1421, 3911, 539, 5658, 267, 808, 9950, 9950, 269, 1299, 21546, 267, 667, 10611, 269, 476, 1220, 278, 623, 17222, 4094, 344, 543, 8760, 540, 887, 338, 19687, 7233, 5204, 560, 269, 5345, 565, 269, 476, 29214, 476, 272, 476, 276, 476, 6246, 454, 5226, 267, 700, 1421, 2717, 1662, 1442, 267, 808, 269, 1299, 966, 832, 320, 267, 715, 269, 476, 1220, 271, 589, 3810, 3608, 538, 20117, 22623, 9440, 20344, 1062, 1210, 6978, 1011, 1218, 29088, 16631, 476, 3374, 476, 280, 4366, 476, 4817, 273, 454, 5226, 328, 5766, 320, 267, 744, 9950, 1421, 25376, 267, 590, 8160, 1421, 7203, 1782, 334, 267, 595, 15660, 269, 1299, 715, 15614, 1723, 267, 590, 8160, 269, 476, 1220, 274, 5530, 540, 519, 5888, 540, 12877, 2350, 13183, 320, 524, 1066, 592, 1092, 887, 655, 6079, 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 ]
[ 540, 3845, 689, 519, 3230, 344, 2330, 268, 9471, 267, 8754, 10747, 519, 4090, 827, 519, 3230, 344, 2330, 268, 9471, 563, 2171, 1631, 5581, 519, 4099, 540, 2527, 540, 15768, 2798, 538, 519, 7077, 780, 2971, 7151, 1428, 269, 275, 269, 1691, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 15768, 1544, 541, 1062, 780, 4131, 1448, 13999, 540, 476, 272, 4846, 267, 476, 273, 4846, 543, 476, 276, 4846, 581, 4092, 693, 2798, 30967, 273, 267, 271, 9385, 3667, 346, 267, 6525, 30967, 272, 267, 272, 14638, 543, 30967, 274, 267, 272, 9385, 3667, 346, 267, 6525, 6606, 267, 543, 616, 4448, 676, 6094, 22203, 540, 30050, 2597, 269, 4855, 519, 4099, 540, 2527, 540, 519, 1062, 563, 11405, 563, 2171, 1246, 14497, 1109, 1428, 269, 275, 269, 1724, 543, 9502, 1109, 1428, 269, 275, 269, 1321, 547, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 2330, 300, 815, 476, 272, 266, 273, 266, 276, 815, 476, 279, 315, 12101, 3667, 346, 11899, 4153, 3667, 346, 269, 28021, 17961, 9387, 15857, 631, 13448, 1422, 2086, 815, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 544, 10983, 344, 10983, 11138, 1422, 2086, 815, 476, 272, 263, 271, 264, 1341, 476, 273, 263, 272, 264, 1341, 476, 276, 263, 272, 9385, 315, 1422, 2086, 815, 476, 278, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 17961, 9387, 15857, 631, 14729, 1422, 2086, 815, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 544, 318, 1460, 10983, 11138, 1422, 2086, 815, 476, 272, 263, 273, 264, 1341, 476, 273, 263, 272, 264, 1341, 476, 276, 263, 274, 9385, 315, 1422, 2086, 815, 476, 866, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 6695, 1091, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 2410, 300, 9574, 315, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 1422, 3847, 7268, 2765, 13997, 866, 3686, 279, 12101, 2765, 4281, 9368, 264, 815, 263, 273, 269, 23841, 267, 271, 269, 279, 4037, 9385, 3667, 346, 267, 6525, 11609, 538, 7612, 1109, 1428, 269, 275, 269, 1428, 563, 2171, 6368, 12446, 693, 938, 3020, 3804, 540, 713, 3296, 281, 4466, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 609, 4756, 5860, 269, 2755, 519, 1657, 6482, 540, 4099, 540, 2527, 568, 4277, 267, 621, 1281, 711, 2047, 2626, 811, 10853, 3871, 1141, 649, 991, 547, 1265, 519, 4099, 540, 2527, 540, 513, 733, 27631, 3148, 269, 1717, 267, 1620, 519, 15768, 2013, 2636, 721, 547, 16977, 519, 4099, 540, 2527, 540, 513, 1544, 541, 22917, 2088, 282, 1210, 11810, 267, 649, 666, 13217, 519, 19406, 547, 606, 3169, 1871, 563, 2171, 2253, 676, 8204, 513, 1544, 541, 22917, 2088, 609, 513, 3148, 3230, 305, 2330, 538, 519, 3230, 15383, 2330, 268, 30350, 609, 5860, 1599, 6695, 23169, 3287, 11971, 9385, 3667, 346, 269, 6525, 3487, 819, 3230, 305, 2330, 883, 3230, 333, 2330, 30834, 2888, 267, 1142, 609, 1858, 6695, 18773, 589, 10983, 20728, 346, 269, 6525, 1306, 2944, 1354, 267, 649, 666, 16977, 519, 2527, 540, 519, 3230, 328, 2330, 628, 1016, 2958, 542, 609, 6695, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 20728, 346, 267, 6525, 1141, 30967, 343, 10983, 11971, 10983, 14638, 568, 513, 1448, 3330, 519, 3230, 328, 2330, 628, 1016, 2958, 542, 269, 1284, 666, 16977, 519, 4090, 540, 713, 1016, 2958, 542, 827, 519, 3230, 344, 2330, 268, 9471, 609, 3230, 343, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 2330, 2443, 602, 568, 267, 676, 14921, 519, 16977, 2527, 540, 519, 3148, 676, 922, 16977, 3845, 689, 519, 3230, 344, 2330, 268, 9471, 269, 6684, 267, 649, 666, 16977, 519, 4090, 827, 519, 3230, 343, 2330, 268, 9471, 609, 3230, 344, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 20728, 346, 269, 6525, 1635, 2040, 2719, 936, 782, 1016, 2958, 687, 267, 649, 723, 912, 17961, 9387, 15857, 1422, 3667, 346, 2527, 281, 7684, 631, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 1422, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 1422, 3667, 346, 630, 553, 2938, 1354, 264, 476, 27874, 1422, 3667, 346, 4090, 827, 519, 3230, 343, 2330, 268, 9471, 281, 7684, 631, 13448, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 586, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 11138, 1422, 3667, 346, 4090, 827, 519, 3230, 344, 2330, 268, 9471, 281, 7684, 631, 14729, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 1535, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 1422, 754, 9387, 265, 8679, 3528, 2921, 7182, 267, 1141, 2450, 540, 1142, 1016, 2958, 542, 695, 337, 3855, 547, 476, 271, 538, 1312, 519, 3230, 343, 2330, 543, 3230, 344, 2330, 8846, 267, 649, 12446, 693, 519, 5595, 29398, 2016, 538, 519, 1739, 11532, 563, 2171, 1376, 938, 2259, 540, 4466, 7740, 540, 2527, 676, 20460, 1746, 930, 540, 519, 22917, 2088, 1031, 5892, 538, 713, 3296, 950, 4466, 2527, 269, 1284, 786, 1175, 1305, 909, 519, 29398, 2877, 547, 12337, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 2330, 543, 4734, 519, 3877, 540, 519, 5610, 547, 519, 5467, 780, 2971, 7151, 1428, 269, 275, 269, 1704, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 2527, 540, 513, 4009, 22917, 2088, 267, 609, 2427, 3259, 476, 272, 267, 609, 513, 5860, 540, 6695, 23169, 815, 476, 274, 315, 12101, 3667, 346, 326, 30763, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 519, 22917, 2088, 689, 7151, 1109, 1428, 269, 275, 269, 274, 8094, 11405, 563, 2171, 2099, 519, 22917, 2088, 609, 513, 4009, 3148, 538, 519, 7077, 607, 3254, 538, 7612, 1109, 1428, 269, 275, 269, 1240, 607, 2944, 5892, 563, 16729, 14497, 1109, 1428, 269, 275, 269, 1626, 267, 649, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 20867, 15848, 20867, 10085, 815, 274, 315, 12101, 3667, 346, 326, 27874, 631, 13448, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 344, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 344, 20867, 15848, 20867, 10085, 815, 274, 270, 273, 815, 476, 272, 269, 276, 11138, 631, 14729, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 343, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 343, 20867, 15848, 20867, 10085, 815, 274, 270, 273, 815, 476, 272, 269, 276, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 6695, 1091, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 348, 300, 12101, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 630, 272, 269, 276, 270, 274, 267, 272, 269, 276, 270, 274, 264, 815, 630, 271, 269, 276, 267, 271, 269, 276, 9385, 3667, 346, 269, 6525, 901, 568, 1018, 649, 1058, 723, 4397, 281, 519, 4099, 540, 2527, 540, 513, 4009, 609, 3586, 5860, 568, 519, 4099, 540, 519, 4009, 780, 2971, 7151, 1428, 269, 275, 269, 866, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 540, 2527, 540, 513, 4009, 22917, 2088, 267, 6719, 676, 519, 1770, 4009, 609, 2539, 682, 325, 628, 663, 7944, 693, 519, 5169, 630, 5408, 7612, 1109, 1428, 269, 275, 269, 1240, 1070, 609, 4756, 5860, 6695, 23169, 3287, 11971, 264, 815, 630, 343, 20742, 266, 273, 9385, 12101, 3667, 346, 326, 30763, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 519, 22917, 2088, 689, 7151, 1109, 1428, 269, 275, 269, 276, 8094, 11405, 563, 2171, 1246, 14497, 1109, 1428, 269, 275, 269, 1626, 267, 547, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 328, 842, 318, 305, 630, 343, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 630, 343, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 815, 274, 315, 12101, 3667, 346, 326, 27874, 631, 13448, 1422, 2086, 815, 1422, 328, 842, 318, 305, 586, 3287, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 586, 3287, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 31386, 2765, 346, 866, 2410, 1321, 27874, 631, 14729, 1422, 2086, 815, 1422, 328, 842, 318, 305, 1535, 3287, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 1535, 3287, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 31386, 2765, 346, 866, 2410, 1321, 4153, 3667, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 454, 17961, 346, 3225, 566, 15857, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 348, 300, 12101, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 1422, 3847, 7268, 2765, 346, 866, 2410, 3607, 9574, 315, 2765, 346, 866, 2410, 3607, 4153, 2431, 264, 1422, 13627, 630, 271, 269, 276, 2764, 267, 271, 269, 276, 2764, 9385, 3667, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 8679, 4407, 519, 2527, 540, 713, 22917, 2088, 568, 519, 1482, 607, 519, 22917, 2088, 538, 519, 3105, 1383, 267, 519, 3152, 5860, 1336, 609, 3152, 3230, 343, 2330, 543, 3230, 344, 2330, 2418, 27605, 519, 4099, 540, 2527, 689, 519, 4099, 5594, 2509, 519, 5580, 678, 12915, 663, 7944, 780, 2971, 7151, 1428, 269, 275, 269, 736, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 540, 2527, 540, 519, 22917, 2088, 6719, 676, 519, 5858, 609, 8953, 476, 273, 10264, 267, 10704, 693, 519, 5169, 267, 609, 5860, 1599, 6695, 23169, 3287, 11971, 264, 815, 630, 343, 317, 273, 20742, 317, 273, 266, 272, 9385, 12101, 3667, 346, 331, 321, 270, 1111, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 835, 540, 519, 22917, 2088, 1031, 538, 7151, 1109, 1428, 269, 275, 269, 278, 8094, 11405, 563, 2026, 2944, 538, 7151, 1109, 1428, 269, 275, 269, 278, 267, 621, 568, 1655, 547, 4766, 3230, 305, 2330, 1210, 8701, 10974, 269, 4935, 950, 649, 12337, 3230, 300, 14729, 20728, 346, 267, 6525, 649, 786, 11753, 711, 3230, 343, 315, 23169, 3287, 11971, 264, 815, 1535, 3287, 317, 273, 20742, 317, 273, 266, 272, 9385, 3667, 346, 267, 6525, 855, 2864, 6695, 15927, 16868, 315, 6523, 7268, 9064, 264, 1422, 15927, 9385, 23169, 16868, 315, 6523, 7268, 9064, 264, 2073, 337, 315, 7562, 7268, 9064, 264, 3738, 815, 1422, 15927, 16868, 315, 6523, 7268, 9064, 264, 1422, 15927, 9385, 15927, 16868, 317, 273, 266, 272, 315, 15927, 9385, 3667, 346, 269, 6525, 1284, 12337, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 317, 273, 266, 272, 264, 337, 20867, 1743, 20867, 546, 24592, 815, 476, 1321, 19570, 315, 13627, 476, 4391, 269, 278, 315, 12101, 3667, 346, 331, 321, 27874, 631, 13448, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 315, 7562, 7268, 9064, 264, 3738, 263, 337, 317, 273, 266, 272, 264, 337, 22773, 1743, 20867, 546, 24592, 815, 476, 271, 11138, 631, 14729, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 315, 6523, 7268, 9064, 264, 3738, 263, 337, 317, 273, 266, 272, 264, 337, 22773, 1743, 20867, 546, 24592, 815, 476, 271, 20728, 346, 269, 348 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4332, 543, 2669, 267, 30608, 10305, 540, 513, 1895, 610, 2486, 602, 616, 15110, 689, 2250, 5481, 267, 9738, 538, 20909, 1714, 6665, 535, 4800, 267, 519, 1459, 543, 1655, 15735, 585, 519, 4324, 540, 12335, 543, 2669, 267, 2104, 5481, 269, 8836, 6561, 2882, 15889, 2528, 630, 7945, 607, 5656, 267, 20375, 267, 8916, 269, 8044, 602, 519, 2686, 543, 1895, 3961, 814, 1044, 14894, 539, 676, 14051, 269, 4210, 582, 5811, 476, 1001, 276, 286, 1358, 8044, 602, 14051, 3123, 2686, 22030, 267, 799, 1797, 519, 791, 3789, 540, 835, 2528, 593, 4266, 540, 4332, 543, 2669, 267, 824, 4529, 676, 13868, 610, 21006, 519, 3312, 2418, 540, 602, 2528, 267, 799, 5012, 547, 2686, 12900, 543, 2530, 269, 540, 10721, 2528, 267, 13742, 2073, 17611, 748, 539, 2418, 267, 543, 2596, 5817, 10054, 892, 630, 306, 3832, 514, 267, 476, 1220, 273, 267, 623, 269, 476, 8287, 1916, 6097, 547, 519, 1614, 2157, 540, 2528, 267, 713, 3091, 513, 1713, 9295, 547, 10747, 1018, 519, 2965, 10721, 2528, 568, 269, 17616, 267, 13742, 616, 519, 2627, 3344, 540, 10721, 269, 3838, 2418, 267, 4978, 543, 8155, 540, 2220, 582, 2079, 476, 1001, 276, 267, 513, 1808, 1895, 540, 13275, 12335, 543, 2669, 267, 1004, 269, 9177, 568, 10299, 998, 1893, 267, 2923, 6835, 267, 2686, 2853, 543, 5238, 267, 2418, 543, 13742, 2073, 543, 998, 519, 9781, 540, 2623, 630, 15812, 639, 14173, 599, 4821, 267, 476, 1960, 275, 1040, 2755, 7209, 568, 1419, 3989, 607, 519, 4999, 540, 563, 21132, 26337, 267, 3807, 3502, 15020, 6153, 26337, 269, 2094, 15456, 4609, 616, 711, 2141, 865, 2312, 2759, 607, 789, 616, 538, 519, 9413, 910, 320, 4609, 4162, 616, 8200, 909, 519, 10923, 607, 1134, 607, 2686, 2796, 538, 20909, 535, 4800, 267, 799, 621, 4646, 268, 1034, 9125, 6048, 1265, 621, 2556, 547, 12335, 540, 4332, 543, 2669, 267, 2308, 513, 3099, 540, 5619, 532, 543, 10386, 2553, 1175, 547, 12398, 543, 5581, 269, 2796, 267, 543, 547, 589, 19396, 4828, 267, 2491, 922, 4644, 607, 513, 7013, 31074, 1547, 7994, 606, 1843, 602, 22587, 547, 596, 543, 4766, 621, 538, 6190, 1469, 865, 602, 621, 1223, 581, 6444, 676, 513, 1268, 945, 814, 2760, 2938, 621, 269, 476, 272, 269, 11261, 2986, 17510, 1656, 12280, 286, 2422, 661, 269, 5062, 5141, 2426, 18307, 2719, 779, 3268, 540, 31074, 1353, 547, 2328, 827, 707, 1843, 269, 18307, 2719, 4330, 281, 1547, 26337, 543, 5980, 281, 7351, 12983, 25387, 538, 562, 15625, 8260, 11253, 781, 6689, 267, 938, 1158, 972, 616, 3875, 13742, 602, 616, 2808, 547, 13275, 4266, 543, 2669, 267, 581, 10723, 1369, 741, 3148, 540, 5169, 269, 623, 10134, 4815, 5811, 286, 10572, 2477, 543, 12335, 4266, 543, 2669, 267, 4525, 946, 922, 2250, 547, 2901, 3895, 9235, 267, 547, 5352, 8907, 998, 3656, 543, 10363, 6455, 540, 1884, 1172, 885, 267, 543, 589, 19396, 17889, 267, 824, 269, 607, 519, 13275, 4266, 540, 4332, 543, 2669, 267, 3090, 540, 6575, 267, 2707, 543, 5169, 540, 930, 4529, 543, 4858, 2738, 4828, 267, 849, 10764, 563, 4322, 2622, 8836, 1200, 527, 1137, 1331, 15889, 2528, 630, 7945, 607, 5656, 267, 20375, 267, 8916, 267, 2835, 267, 1568, 540, 1148, 267, 543, 4266, 267, 13742, 16532, 30608, 2528, 630, 7945, 607, 18691, 267, 5389, 267, 1893, 267, 543, 1714, 6665, 535, 4800, 267, 1702, 1070, 543, 2067, 269, 476, 24801, 268, 7305, 540, 540, 4332, 267, 12937, 476, 272, 269, 4858, 2738, 4828, 286, 4985, 476, 274, 476, 273, 269, 8836, 21094, 476, 274, 476, 274, 269, 7316, 2052, 8836, 21094, 2142, 5853, 476, 274, 476, 275, 269, 8249, 22490, 538, 8836, 21094, 476, 275, 476, 276, 269, 24371, 267, 4675, 11502, 543, 16890, 538, 13275, 12335, 4266, 540, 4332, 543, 2669, 267, 8836, 21094, 476, 275, 476, 277, 269, 27010, 10748, 1466, 476, 276, 476, 278, 269, 1215, 621, 568, 10694, 476, 276, 476, 279, 269, 12694, 269, 5686, 540, 7239, 789, 5030, 538, 1848, 1107, 5319, 11602, 540, 24205, 269, 589, 19396, 17889, 4828, 286, 968, 290, 11857, 568, 513, 1134, 6896, 9322, 5258, 883, 12335, 540, 4332, 543, 2669, 267, 1079, 4909, 3344, 1107, 513, 1560, 540, 4858, 2738, 4828, 267, 13742, 543, 513, 1062, 540, 9821, 1107, 5689, 514, 22603, 269, 968, 24109, 753, 3112, 3548, 267, 13236, 267, 1219, 1815, 622, 267, 19898, 267, 16196, 267, 1694, 267, 1847, 827, 267, 3207, 610, 9114, 1524, 1510, 1739, 269, 9931, 7232, 2433, 689, 7025, 29675, 547, 13329, 14939, 715, 739, 28101, 269, 1323, 11582, 801, 3930, 267, 519, 15888, 540, 519, 4670, 267, 13321, 519, 4670, 543, 12335, 540, 4332, 543, 2669, 267, 922, 16502, 267, 654, 17920, 7232, 883, 1018, 6754, 28243, 7125, 606, 968, 13563, 2442, 2686, 31074, 1496, 338, 545, 316, 892, 602, 814, 968, 13069, 727, 519, 1445, 540, 513, 1713, 13849, 10687, 29232, 593, 1977, 7082, 2418, 543, 1514, 3961, 892, 630, 13923, 1040, 1635, 1814, 1172, 532, 7082, 1143, 269, 10058, 543, 30753, 2686, 4162, 568, 21718, 269, 589, 19396, 286, 476, 274, 269, 630, 307, 4596, 338, 476, 272, 476, 273, 264, 24272, 553, 2103, 609, 8129, 824, 982, 8832, 610, 5375, 3864, 945, 1869, 3180, 543, 540, 4332, 267, 1871, 741, 6803, 3961, 855, 798, 865, 1510, 1514, 1942, 616, 21718, 563, 275, 269, 630, 307, 4596, 338, 476, 274, 476, 275, 264, 634, 15889, 13742, 2813, 676, 513, 2528, 616, 21718, 269, 1454, 2362, 4110, 267, 782, 7064, 547, 19795, 269, 1703, 616, 2947, 1016, 1922, 3658, 540, 875, 547, 11360, 513, 4871, 267, 28668, 281, 2608, 6635, 3832, 1108, 268, 901, 2361, 2090, 938, 2250, 269, 1358, 4983, 13742, 602, 616, 3504, 543, 2413, 547, 29742, 513, 1007, 5133, 540, 938, 7104, 1686, 269, 1488, 3832, 5505, 4983, 12779, 334, 1815, 1108, 269, 17905, 568, 519, 1353, 540, 13275, 267, 519, 269, 589, 9754, 568, 606, 9872, 602, 30128, 585, 630, 4621, 12883, 264, 513, 4015, 540, 13742, 543, 824, 3615, 540, 17889, 4828, 267, 7499, 267, 2686, 2073, 3140, 267, 610, 3621, 2956, 543, 2306, 873, 2139, 585, 1857, 13156, 998, 15225, 602, 949, 581, 8628, 610, 10151, 269, 7197, 1804, 15882, 616, 4092, 538, 2101, 4872, 563, 732, 9280, 609, 1950, 6389, 540, 13275, 4266, 540, 4332, 543, 2669, 267, 1480, 1702, 267, 713, 568, 2101, 6161, 547, 875, 547, 267, 5042, 16895, 543, 2247, 15806, 269, 5261, 9956, 2986, 17510, 1656, 12280, 286, 5678, 1373, 513, 2686, 13742, 2073, 23316, 3587, 513, 1888, 540, 1719, 547, 1914, 6048, 543, 267, 24085, 269, 22108, 22823, 267, 589, 269, 20307, 13495, 11253, 781, 286, 630, 1001, 273, 1040, 23008, 2524, 269, 568, 519, 1152, 3540, 1242, 7068, 538, 12335, 4266, 540, 4332, 543, 2669, 267, 713, 1158, 269, 623, 10134, 4815, 4210, 582, 286, 9177, 666, 581, 3989, 607, 519, 7471, 1062, 602, 12211, 547, 2418, 267, 4978, 267, 5615, 267, 8155, 267, 13742, 543, 519, 824, 1568, 540, 1022, 2486, 269, 5261, 11261, 286, 769, 519, 1480, 1686, 267, 713, 568, 519, 2528, 602, 17337, 1480, 7919, 610, 24508, 835, 2146, 689, 1776, 269, 13018, 269, 14871, 20504, 766, 540, 670, 539, 4577, 7913, 3203, 604, 9711, 281, 513, 7869, 540, 29283, 18880, 21887, 269, 8638, 2139, 693, 3163, 17445, 6176, 5004, 4760, 1753, 2457, 281, 8940, 269, 12828, 22609, 2593, 15828, 11229, 270, 574, 14871, 10343, 540, 15949, 4577, 3059, 13742, 2433, 589, 3069, 540, 4616, 2418, 5133, 744, 286, 337, 570, 675, 331, 513, 267, 24682, 12138, 590, 7967, 14150, 536, 267, 272, 267, 19162, 645, 2632, 529, 524, 267, 273, 513, 5441, 540, 6355, 543, 13188, 267, 4993, 269, 23314, 267, 20185, 267, 3090, 1436, 267, 543, 7664, 563, 4322, 3157, 616, 3989, 543, 4843, 538, 513, 1007, 2203, 1572, 2686, 6384, 269, 5565, 540, 519, 3157, 3769, 538, 519, 2686, 6384, 2203, 616, 4922, 6444, 543, 723, 7902, 538, 6436, 540, 3919, 1354, 281, 7464, 1436, 568, 851, 540, 533, 10134, 4815, 2220, 582, 267, 1284, 1157, 781, 269, 519, 4998, 856, 532, 585, 3885, 547, 8661, 29016, 779, 10583, 3979, 1977, 6561, 269, 634, 9754, 779, 3979, 1977, 4015, 2882, 2686, 13742, 2073, 22251, 543, 1344, 827, 2199, 3979, 1977, 3906, 267, 4213, 543, 13275, 12335, 540, 4332, 543, 2669, 267, 5238, 269, 20307, 13495, 11253, 781, 19974, 286, 10765, 23937, 1331, 519, 1688, 25740, 269, 670, 9331, 476, 12208, 2622, 9177, 4083, 12143, 12143, 476, 274, 281, 8836, 11314, 7797, 269, 670, 9331, 476, 12208, 2622, 9177, 4083, 12143, 12143, 476, 274, 281, 8836, 11314, 7797, 1677, 16179, 713, 4147, 25767, 13594, 2630, 3095, 538, 707, 645, 992, 518, 5291, 2517, 24610, 1740, 2958, 1890, 2593, 7933, 5877, 338, 10774, 636, 268, 12208, 8996, 2275, 11857, 268, 4512, 12431, 9892, 12431, 9892, 268, 274, 268, 2686, 910, 13808, 3146, 1636, 270, 2107, 16731, 3776, 19534, 16731, 2433, 5291, 2517, 4178, 19544, 727, 1740, 2958, 1890, 563, 3674, 519, 1849, 990, 529, 13216, 3013, 781, 23778, 5006, 2776, 18856, 9177, 286, 9177, 286, 634, 1849, 990, 529, 8836, 13216, 267, 3957, 1310, 519, 12335, 540, 4332, 267, 4087, 540, 922, 10747, 3135, 267, 519, 4828, 267, 1849, 990, 529, 13505, 267, 568, 4092, 538, 1849, 990, 529, 267, 1715, 6792, 269, 634, 1849, 990, 529, 8836, 13216, 267, 1934, 12898, 1634, 3274, 607, 1849, 990, 529, 267, 568, 11593, 30753, 998, 519, 4527, 540, 922, 1883, 10368, 31074, 2433, 519, 540, 4332, 543, 2669, 267, 1849, 990, 529, 1448, 269, 20307, 286, 634, 563, 10870, 268, 8836, 7869, 22685, 1154, 8789, 1895, 9479, 538, 8942, 547, 1118, 835, 779, 3961, 1447, 7298, 267, 598, 14127, 547, 4122, 7608, 4978, 827, 1895, 2818, 607, 513, 7580, 1797, 547, 540, 4332, 267, 17908, 873, 585, 2123, 2744, 267, 543, 1102, 997, 1154, 5626, 1928, 998, 2123, 6285, 593, 8789, 1895, 2818, 269, 16329, 1670, 1401, 3031, 527, 538, 519, 2817, 7467, 540, 519, 13372, 269, 7467, 281, 7467, 540, 519, 4858, 2738, 4828, 267, 27208, 4658, 10268, 606, 4266, 543, 2669, 267, 10373, 4015, 540, 13742, 2073, 882, 923, 543, 3140, 3615, 540, 519, 13372, 269, 898, 849, 24428, 4241, 543, 10578, 28028, 10824, 267, 11113, 267, 17428, 543, 30660, 267, 15456, 13742, 2073, 13049, 1845, 267, 6186, 14613, 543, 513, 2898, 2603, 811, 269, 634, 9754, 729, 5258, 269, 540, 10058, 543, 30753, 2686, 4162, 568, 11360, 21718, 269, 630, 307, 4596, 338, 476, 272, 476, 273, 264, 24272, 553, 2103, 609, 8129, 824, 982, 8832, 610, 5375, 3864, 945, 1869, 3180, 543, 1871, 741, 6803, 3961, 855, 798, 865, 1510, 1514, 1942, 616, 21718, 269, 630, 307, 4596, 338, 476, 274, 476, 275, 264, 634, 15889, 13742, 2813, 676, 513, 2528, 616, 21718, 269, 1547, 717, 3633, 13975, 5149, 476, 272, 11929, 4985, 547, 8836, 28668, 269, 717, 3633, 13975, 5149, 476, 272, 11929, 4985, 547, 8836, 28668, 8437, 13017, 12989, 1677, 16179, 281, 5291, 2517, 327, 342, 322, 25283, 2593, 270, 3333, 641, 270, 3022, 13975, 15492, 268, 272, 7721, 600, 270, 13038, 14893, 5999, 630, 11767, 707, 4267, 593, 519, 20583, 2626, 6656, 264, 476, 272, 269, 6904, 540, 519, 1739, 1131, 711, 581, 2808, 513, 29286, 1369, 519, 269, 9995, 7723, 4224, 2934, 267, 1312, 2067, 543, 4266, 543, 2669, 267, 5249, 267, 941, 849, 6534, 267, 543, 930, 476, 16020, 267, 1822, 13742, 941, 16626, 689, 519, 3135, 563, 5472, 891, 2959, 723, 23353, 24085, 1620, 540, 519, 3140, 267, 2686, 543, 875, 547, 11360, 2272, 267, 1514, 4567, 540, 519, 32520, 543, 12335, 267, 519, 1808, 1686, 540, 519, 3135, 543, 922, 1585, 31269, 269, 7790, 297, 652, 18223, 772, 30445, 5437, 476, 736, 267, 476, 1001, 274, 8836, 28668, 2605, 269, 28089, 808, 32667, 267, 521, 341, 323, 11314, 3143, 269, 272, 1107, 5437, 476, 277, 267, 476, 1001, 274, 476, 272, 269, 16294, 519, 1739, 2474, 281, 513, 269, 28668, 968, 763, 2262, 19795, 568, 20909, 1714, 6665, 535, 4800, 6508, 689, 519, 5259, 1913, 10236, 334, 267, 2495, 968, 16058, 7919, 892, 610, 968, 21065, 1678, 785, 2223, 543, 2845, 807, 267, 12261, 269, 476, 1001, 273, 12834, 281, 8836, 21094, 543, 8836, 11595, 5004, 901, 1433, 11394, 547, 1683, 519, 13275, 12335, 4266, 543, 2669, 267, 5467, 610, 15805, 609, 4030, 593, 875, 519, 1079, 10600, 267, 9235, 543, 2686, 6561, 2359, 12969, 267, 855, 849, 875, 789, 4655, 538, 602, 789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 694, 335, 6889, 4939, 19515, 0, 258, 2300, 619, 823, 476, 272, 692, 12528, 12173, 815, 3403, 2891, 1432, 568, 707, 2012, 286, 19515, 720, 815, 703, 9272, 6600, 257, 1692, 2025, 616, 596, 2715, 12528, 12173, 348, 286, 27328, 331, 6327, 815, 3403, 6600, 257, 8489, 798, 596, 2661, 2715, 12528, 12173, 348, 286, 19515, 2745, 2891, 7069, 2012, 568, 2715, 271, 20467, 3733, 2085, 568, 2715, 272, 20467, 594, 2661, 538, 2715, 273, 348, 2668, 8971, 263, 12528, 12173, 267, 2085, 267, 4087, 4917, 2745, 6600, 257, 7069, 2012, 568, 2715, 12528, 12173, 20467, 3733, 2085, 568, 2715, 720, 20467, 594, 2661, 538, 2715, 331, 6327, 348, 257, 9239, 258, 2012, 815, 834, 7692, 4840, 258, 2085, 815, 476, 1240, 454, 16482, 258, 1820, 2891, 17098, 834, 1341, 2012, 1341, 834, 834, 1341, 1193, 263, 720, 264, 1341, 834, 32405, 258, 1820, 2891, 17098, 14307, 2012, 2437, 14307, 2085, 267, 834, 256, 2580, 694, 335, 284, 3269, 994, 258, 1820, 2891, 17098, 2715, 271, 348, 2715, 272, 348, 256, 2668, 8971, 28442, 267, 1193, 263, 720, 21875, 258, 1820, 2891, 17098, 2715, 271, 348, 2715, 272, 348, 256, 2668, 8971, 28442, 267, 1193, 263, 720, 30727, 1948, 5570, 526, 266, 291, 3009, 26134, 454, 258, 1820, 2891, 17098, 4939, 338, 4939, 328, 10590, 4939, 630, 4067, 267, 2085, 4917, 258, 1820, 6600, 257, 17098, 2715, 4067, 348, 2715, 720, 348, 10590, 2020, 0, 258, 476, 275, 12405, 692, 258, 4005, 815, 3403, 2891, 1432, 4005, 568, 621, 1631, 286, 19515, 16482, 258, 952, 4005, 31573, 3890, 2652, 834, 342, 5793, 13426, 258, 672, 1820, 2891, 21607, 593, 707, 29075, 5602, 16482, 258, 3116, 912, 16482, 258, 672, 952, 630, 572, 1783, 2652, 834, 306, 7428, 257, 2187, 258, 1363, 1820, 2891, 21607, 593, 707, 10887, 5602, 16482, 258, 672, 952, 630, 572, 1783, 2652, 834, 11764, 1067, 257, 2187, 258, 1363, 1820, 2891, 21607, 593, 707, 2110, 338, 5602, 16482, 258, 672, 952, 4005, 2652, 834, 8505, 4379, 13426, 258, 1038, 1820, 2891, 21607, 593, 707, 4764, 1723, 520, 5602, 16482, 258, 672, 3116, 912, 258, 1363, 1820, 2891, 13286, 257, 9239, 572, 1783, 815, 3403, 2891, 1432, 4005, 568, 621, 1631, 286, 834, 2020, 604, 4005, 31573, 3890, 2652, 834, 342, 5793, 13426, 825, 1820, 2891, 21607, 593, 707, 29075, 15419, 19197, 4005, 31573, 3890, 2652, 834, 338, 7428, 13426, 825, 1820, 2891, 21607, 593, 707, 10887, 15419, 19197, 4005, 31573, 3890, 2652, 834, 8999, 1067, 13426, 825, 1820, 2891, 21607, 593, 707, 2110, 338, 15419, 19197, 4005, 31573, 3890, 2652, 834, 2246, 4379, 13426, 825, 1820, 2891, 21607, 593, 707, 4764, 1723, 520, 15419, 12828, 912, 825, 1820, 2891, 13286, 257, 9239, 0, 5228, 28184, 5793, 1104, 2608, 692, 3698, 2040, 5332, 13246, 10031, 825, 2040, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 21715, 2020, 825, 1948, 13765, 602, 4610, 616, 711, 5022, 543, 711, 8900, 7531, 825, 952, 2040, 6958, 1752, 318, 272, 10947, 3890, 543, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 3546, 2040, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 2040, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 3546, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 8999, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 2040, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 4433, 636, 6958, 1752, 318, 272, 10947, 3890, 11924, 842, 4433, 636, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 2040, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 10208, 5332, 13246, 3890, 1384, 825, 10208, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 4433, 889, 339, 847, 6958, 1752, 318, 272, 10947, 3890, 543, 10208, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 10208, 6958, 1752, 318, 272, 10947, 3890, 543, 10208, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 10208, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 10208, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 10208, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 2018, 10208, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 11357, 339, 847, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 10208, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 4433, 889, 339, 847, 6958, 1752, 318, 272, 10947, 28829, 910, 703, 4433, 889, 339, 847, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 9062, 5332, 13246, 3890, 1384, 825, 9062, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 9852, 738, 17586, 6958, 1752, 318, 272, 10947, 3890, 543, 9062, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 9062, 6958, 1752, 318, 272, 10947, 3890, 543, 9062, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 9062, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 9062, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 9062, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 9062, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 9852, 738, 17586, 6958, 1752, 318, 272, 10947, 28829, 2608, 703, 9852, 738, 17586, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 7941, 5332, 13246, 3890, 1384, 825, 7941, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 5560, 643, 728, 6958, 1752, 318, 272, 10947, 3890, 543, 7941, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 7941, 6958, 1752, 318, 273, 10947, 3890, 2652, 834, 271, 257, 1384, 1038, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 15965, 1707, 676, 4642, 10590, 2020, 825, 8640, 7941, 6958, 1752, 318, 272, 10947, 3890, 543, 7941, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 7941, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 7941, 6958, 1752, 318, 273, 10947, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 7941, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 2018, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 5560, 643, 728, 6958, 1752, 318, 272, 10947, 28829, 1315, 703, 5560, 643, 728, 6958, 1752, 318, 273, 10947, 28829, 9239, 825, 3116, 912, 1038, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 10174, 815, 570, 330, 10797, 258, 8999, 692, 8999, 6958, 1752, 318, 272, 815, 28678, 4590, 8999, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 271, 2020, 299, 8475, 29495, 6889, 266, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 271, 2020, 8999, 6958, 1752, 318, 273, 815, 28678, 4590, 8999, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 271, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 8999, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 271, 2020, 8999, 6958, 1752, 318, 14310, 815, 28678, 4590, 8999, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 271, 2020, 258, 11357, 339, 847, 692, 11357, 339, 847, 6958, 1752, 318, 272, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 272, 2020, 299, 8475, 29495, 6889, 268, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 272, 2020, 11357, 339, 847, 6958, 1752, 318, 273, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 272, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 11357, 339, 847, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 272, 2020, 11357, 339, 847, 6958, 1752, 318, 14310, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 272, 2020, 258, 8691, 692, 20123, 17586, 6958, 1752, 318, 272, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 273, 2020, 299, 8475, 29495, 6889, 265, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 273, 2020, 20123, 17586, 6958, 1752, 318, 273, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 273, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 20123, 17586, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 273, 2020, 20123, 17586, 6958, 1752, 318, 14310, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 273, 2020, 258, 6498, 692, 15965, 728, 6958, 1752, 318, 272, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 274, 2020, 299, 8475, 29495, 6889, 270, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 274, 2020, 15965, 728, 6958, 1752, 318, 273, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 274, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 15965, 728, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 274, 2020, 15965, 728, 6958, 1752, 318, 14310, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 274, 2020, 10174, 6230, 664, 31467, 30800, 10174, 815, 570, 330, 10797, 258, 513, 815, 834, 13906, 4840, 16482, 16482, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2318, 8870, 2715, 320, 18994, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2942, 8870, 2715, 320, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2698, 8870, 2715, 320, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 3890, 610, 513, 18994, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 5569, 2715, 320, 18994, 10401, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 711, 5569, 2715, 2254, 513, 18994, 10401, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 8870, 543, 711, 5569, 2715, 320, 18994, 333, 10179, 545, 3890, 543, 711, 513, 18994, 10401, 3890, 348, 5602, 16482, 258, 1820, 9230, 320, 18994, 333, 10179, 545, 3890, 610, 513, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 28829, 610, 711, 513, 18994, 10401, 15405, 16482, 16482, 258, 630, 8999, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 610, 2040, 6958, 1752, 318, 272, 10947, 3890, 543, 2040, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2525, 262, 268, 262, 610, 711, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 454, 258, 630, 8999, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 610, 2040, 6958, 1752, 318, 273, 10947, 3890, 543, 2040, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2525, 262, 268, 262, 610, 711, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 31156, 258, 1820, 5416, 18994, 333, 10179, 545, 15405, 258, 1820, 5416, 314, 271, 316, 2525, 27324, 257 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 513, 3460, 998, 930, 540, 519, 1034, 10875, 8916, 543, 694, 2444, 16747, 10023, 22260, 543, 4672, 6199, 338, 256, 1284, 3513, 1451, 827, 875, 891, 2067, 13300, 1106, 267, 3605, 4241, 5013, 267, 543, 2263, 875, 5159, 3142, 873, 547, 1272, 538, 741, 10367, 780, 1262, 1432, 3657, 3794, 659, 4536, 543, 10979, 6199, 338, 15140, 265, 10908, 659, 4536, 265, 616, 3500, 2173, 8221, 8933, 540, 4672, 602, 22132, 1164, 909, 538, 10239, 610, 8701, 4525, 1141, 6777, 7213, 12885, 5488, 982, 621, 5283, 1206, 269, 3683, 942, 267, 713, 11741, 539, 6777, 7140, 883, 4396, 4672, 1813, 547, 2810, 2604, 689, 6106, 2390, 6106, 540, 1007, 6777, 6420, 269, 1879, 8904, 27605, 713, 5230, 2527, 1524, 24824, 267, 621, 5956, 922, 16795, 16350, 2509, 2539, 6173, 725, 267, 2870, 513, 27224, 780, 2304, 2608, 823, 6199, 24682, 29285, 267, 568, 513, 1804, 4062, 540, 13735, 4672, 602, 9397, 1055, 630, 528, 1608, 1407, 264, 689, 513, 3677, 1560, 540, 4672, 267, 971, 607, 513, 27224, 610, 4672, 15808, 269, 1452, 897, 1601, 531, 25098, 540, 4672, 1287, 20847, 2059, 5836, 14768, 267, 1419, 1818, 20498, 10525, 607, 789, 15835, 543, 6521, 5546, 780, 1262, 13528, 566, 540, 3794, 659, 4536, 543, 10979, 6199, 338, 4373, 5331, 6972, 2066, 513, 2361, 4988, 12597, 11546, 788, 538, 28448, 15468, 6777, 269, 3962, 1900, 14771, 525, 519, 6777, 9944, 707, 3952, 267, 4929, 621, 547, 1831, 16437, 518, 543, 811, 11741, 269, 1306, 596, 3136, 6972, 267, 1142, 4494, 735, 9711, 1256, 2417, 896, 519, 2597, 540, 1346, 1657, 621, 269, 2991, 1082, 3275, 610, 1296, 267, 952, 2614, 6777, 8813, 538, 835, 1747, 543, 3085, 1405, 7357, 15835, 2476, 1282, 15911, 12405, 267, 519, 4420, 2174, 739, 6106, 2981, 883, 4396, 4672, 780, 1607, 1184, 28197, 3294, 1032, 1310, 1032, 267, 4611, 538, 23198, 543, 9962, 9212, 540, 4672, 269, 16828, 267, 8904, 3217, 3180, 267, 17444, 519, 3389, 5006, 6810, 18746, 267, 27510, 519, 5250, 540, 513, 27224, 780, 2026, 22260, 1332, 543, 2095, 4724, 2539, 2666, 267, 789, 4584, 909, 7725, 267, 3037, 267, 543, 824, 11935, 2059, 519, 1259, 269, 674, 9689, 3361, 676, 891, 2326, 25815, 519, 27224, 781, 3350, 855, 849, 2337, 3337, 519, 5251, 2630, 621, 269, 3683, 5553, 267, 22260, 1286, 557, 856, 23898, 267, 575, 537, 613, 856, 772, 11057, 512, 893, 338, 267, 1711, 2849, 664, 525, 630, 5090, 2471, 1500, 540, 4224, 1570, 1070, 543, 4734, 3297, 12627, 2312, 12647, 780, 2691, 25098, 540, 4672, 2736, 1863, 689, 513, 27224, 610, 4672, 15808, 543, 10581, 883, 1930, 1216, 267, 789, 1831, 4672, 6199, 338, 269, 1452, 23836, 23766, 2097, 538, 782, 5546, 543, 7306, 31539, 1507, 536, 1458, 11353, 547, 11999, 9184, 983, 4672, 6199, 338, 602, 12701, 1896, 5195, 1279, 269, 8307, 827, 476, 1015, 260, 540, 606, 4672, 6199, 3788, 7298, 1657, 1216, 282, 519, 6967, 24760, 6712, 13514, 1713, 10898, 585, 9635, 10188, 7404, 7297, 780, 1262, 9209, 2065, 3493, 11881, 540, 3794, 659, 4536, 543, 10979, 6199, 338, 4373, 6624, 4583, 5159, 2429, 1686, 723, 8179, 6667, 538, 519, 18198, 29278, 2813, 676, 22260, 543, 4672, 6199, 338, 269, 4256, 10367, 18427, 4606, 540, 4898, 267, 1151, 3363, 267, 6264, 16725, 267, 543, 1256, 8594, 2404, 609, 891, 15999, 2244, 13257, 780, 2690, 1383, 267, 1977, 18048, 12049, 20143, 3798, 7773, 5783, 9676, 519, 9759, 540, 4793, 6782, 807, 781, 27726, 14099, 538, 1010, 20100, 834, 763, 1656, 525, 540, 28130, 2437, 799, 2934, 25412, 7823, 19589, 546, 1905, 539, 609, 1350, 626, 2287, 22260, 269, 6684, 267, 21785, 7376, 16677, 518, 7195, 651, 27472, 1242, 13588, 609, 1010, 10565, 26007, 540, 818, 8157, 8916, 31523, 609, 6159, 1375, 344, 4672, 1166, 3996, 543, 3138, 4040, 4672, 6199, 338, 780, 5415, 5063, 267, 4207, 7376, 2098, 7559, 4813, 534, 3096, 2250, 1564, 547, 1711, 3810, 10853, 28402, 540, 23529, 781, 6385, 4657, 30961, 1604, 269, 4173, 9159, 15885, 4196, 607, 1312, 8353, 24312, 24886, 26620, 543, 22880, 23106, 540, 2916, 1689, 781, 1764, 593, 3047, 781, 17866, 8134, 780, 1262, 6962, 4373, 9961, 713, 1770, 267, 649, 4312, 8268, 519, 4241, 1158, 540, 22260, 543, 4672, 6199, 338, 267, 1565, 827, 741, 5250, 267, 4162, 267, 543, 4644, 1369, 1585, 7499, 5389, 269, 1635, 1620, 875, 891, 6909, 2067, 9259, 1020, 543, 2170, 609, 741, 10450, 267, 649, 2744, 3407, 4030, 883, 1312, 519, 5898, 543, 1761, 829, 2812, 540, 938, 4541, 781, 3309, 8916, 543, 694, 2444, 16747, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 901, 2680, 814, 5293, 563, 15812, 674, 7568, 636, 543, 21142, 623, 2355, 322, 684, 2443, 14956, 2287, 1234, 4003, 269, 8058, 8255, 998, 5239, 476, 4029, 454, 19751, 476, 276, 267, 476, 1001, 280, 7711, 476, 273, 281, 876, 10681, 910, 476, 275, 281, 876, 10681, 454, 303, 31021, 1657, 568, 676, 4460, 674, 7568, 636, 454, 10403, 6679, 21200, 14349, 267, 5239, 476, 276, 628, 267, 476, 273, 281, 876, 1107, 476, 275, 281, 876, 6751, 563, 5475, 519, 6679, 21200, 267, 519, 1397, 786, 2196, 2394, 5239, 476, 4029, 267, 543, 666, 581, 2938, 1354, 12644, 610, 676, 13393, 269, 11910, 476, 31979, 268, 28670, 268, 25148, 271, 563, 15812, 674, 7568, 636, 30310, 779, 15048, 912, 15812, 3323, 7206, 950, 646, 19622, 689, 519, 8136, 538, 1010, 2038, 13683, 625, 269, 1261, 1568, 609, 28778, 19267, 267, 543, 1010, 5396, 616, 8916, 267, 694, 2444, 16747, 267, 3046, 985, 267, 1004, 267, 1919, 2443, 8726, 26182, 1864, 593, 1022, 2016, 1554, 563, 3891, 2729, 538, 14977, 2590, 5069, 563, 2704, 534, 623, 2355, 322, 684, 30310, 779, 15048, 912, 763, 1480, 1106, 814, 9859, 803, 585, 936, 476, 1789, 1296, 267, 689, 1250, 3355, 1445, 607, 513, 2875, 540, 6140, 8106, 4137, 547, 519, 811, 7493, 539, 3029, 540, 1250, 10927, 960, 269, 594, 3136, 547, 1847, 1394, 543, 8521, 1063, 873, 547, 2226, 1250, 1378, 3666, 269, 3733, 960, 8100, 627, 565, 8864, 267, 13438, 267, 22636, 267, 26610, 267, 865, 607, 547, 2992, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10908, 659, 4536, 543, 10979, 6199, 338, 257, 607, 851, 540, 834, 11286, 1315, 23527, 1299, 21771, 1315, 14924, 7870, 1299, 1530, 2444, 16747, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 29318, 281, 853, 10107, 15907, 543, 6970, 6748, 24410, 1076, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 9289, 1018, 781, 8345, 3330, 707, 5023, 950, 596, 3548, 1945, 6653, 286, 2107, 1946, 798, 930, 1004, 1205, 19659, 811, 1419, 982, 1866, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 4551, 602, 2661, 538, 938, 28182, 256, 13018, 267, 649, 786, 1451, 827, 875, 891, 6263, 7103, 6529, 1472, 543, 3935, 1125, 1114, 7252, 267, 799, 666, 3006, 1291, 547, 5959, 2042, 899, 5694, 9178, 780, 4089, 476, 272, 281, 1548, 616, 29318, 888, 289, 22160, 616, 2582, 16052, 539, 14471, 1336, 3592, 10876, 1107, 538, 1216, 267, 3037, 267, 2371, 267, 2831, 267, 543, 1256, 538, 938, 1378, 4703, 256, 1358, 2097, 538, 1585, 5546, 543, 7306, 267, 855, 782, 723, 835, 1455, 3804, 281, 6668, 269, 4107, 4551, 616, 20027, 543, 1256, 5363, 267, 971, 607, 1346, 2713, 538, 938, 8937, 267, 4543, 721, 7558, 1426, 269, 1717, 267, 1978, 2010, 540, 4551, 666, 2014, 3676, 952, 789, 1265, 741, 1259, 883, 2694, 540, 519, 1560, 1141, 789, 1810, 1406, 4866, 780, 4089, 476, 273, 281, 645, 17424, 1520, 1127, 542, 543, 16690, 1436, 454, 3086, 267, 4952, 3843, 547, 7639, 1247, 13735, 2832, 8393, 538, 513, 5318, 5836, 630, 528, 707, 5023, 1040, 16319, 9157, 267, 1318, 286, 2334, 781, 1946, 1082, 4551, 1020, 2081, 547, 8936, 2933, 547, 7252, 267, 8108, 2950, 1572, 6915, 16344, 916, 269, 12713, 28291, 5250, 5956, 609, 9190, 28455, 9789, 1184, 676, 799, 1367, 4551, 2281, 561, 2255, 5196, 513, 2627, 1210, 4552, 6438, 3889, 1572, 7796, 328, 610, 535, 12494, 686, 2801, 269, 4495, 7923, 267, 789, 1376, 14921, 267, 14379, 609, 1142, 824, 267, 543, 608, 920, 1154, 6878, 602, 948, 873, 6529, 1927, 1732, 267, 2870, 513, 28489, 344, 4494, 1634, 607, 29414, 5119, 269, 1656, 21350, 10042, 256, 1411, 1631, 723, 513, 4628, 4646, 6915, 28291, 780, 1103, 938, 28182, 267, 24494, 3536, 1683, 7899, 540, 4492, 585, 5711, 4551, 547, 1332, 6385, 269, 1879, 789, 8532, 4006, 267, 789, 3132, 3679, 607, 513, 3653, 1587, 269, 3683, 942, 267, 713, 3679, 2144, 3941, 519, 8825, 19596, 15098, 593, 4522, 267, 3056, 547, 19659, 610, 5694, 9178, 269, 1924, 1985, 942, 596, 3914, 585, 602, 17711, 3046, 267, 3314, 621, 1223, 5732, 1291, 547, 13311, 14538, 4259, 909, 3786, 538, 707, 5023, 2439, 4089, 476, 274, 281, 16473, 532, 1133, 342, 5896, 2871, 3949, 454, 2080, 2501, 519, 1034, 1271, 2243, 281, 1215, 666, 649, 2061, 891, 5739, 4551, 689, 4929, 3441, 286, 4279, 3377, 256, 1703, 616, 1896, 2994, 547, 2226, 1434, 5711, 9882, 543, 1832, 707, 12837, 2635, 1384, 272, 269, 5696, 2313, 7466, 3232, 281, 5269, 2386, 547, 11453, 707, 4522, 8499, 585, 1079, 3764, 267, 8757, 1169, 562, 809, 543, 1835, 15967, 269, 901, 2337, 4894, 15799, 19221, 543, 6971, 519, 1297, 540, 4551, 538, 707, 5023, 563, 273, 269, 4469, 1601, 5781, 281, 4469, 1601, 532, 18788, 16290, 1426, 5536, 1063, 4522, 1141, 707, 28750, 949, 4413, 269, 898, 849, 7519, 338, 3384, 6915, 16344, 916, 1354, 789, 1831, 1932, 2178, 563, 274, 269, 23423, 24494, 16152, 281, 1306, 5018, 4505, 267, 4006, 20555, 5711, 4551, 267, 865, 5969, 1394, 593, 26265, 666, 3970, 741, 2208, 543, 7766, 3679, 2504, 563, 275, 269, 8617, 11290, 11564, 281, 12333, 2973, 902, 543, 2638, 5725, 2327, 1022, 1761, 2152, 616, 9575, 2038, 267, 3850, 585, 5401, 2126, 543, 6604, 540, 2417, 8374, 563, 276, 269, 11559, 2635, 19975, 2095, 281, 6428, 10216, 3568, 2067, 8878, 6127, 1996, 4551, 269, 4258, 9405, 4006, 6954, 10733, 1310, 6980, 22262, 19975, 2504, 267, 32092, 532, 2476, 31629, 1426, 5536, 543, 9243, 1944, 7408, 3812, 676, 4551, 780, 6962, 912, 9961, 713, 3184, 267, 649, 3460, 539, 998, 519, 6909, 1158, 540, 4551, 267, 1565, 827, 741, 2702, 547, 15666, 543, 1106, 10125, 1572, 6915, 16344, 916, 269, 1284, 4362, 519, 1909, 891, 3157, 1404, 538, 5959, 1072, 267, 4481, 3823, 5694, 9178, 3361, 676, 5739, 5711, 4551, 269, 1635, 1620, 875, 4551, 13789, 267, 649, 666, 1491, 3617, 3800, 547, 2149, 6000, 689, 11991, 5959, 13542, 269, 5457, 267, 4509, 1434, 5711, 9882, 6208, 8952, 1312, 596, 543, 707, 7874, 8378, 26966, 1235, 6126, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 300, 9169, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 273, 300, 9169, 267, 5449, 7905, 543, 10361, 267, 4972, 540, 13106, 16599, 923, 267, 717, 17584, 261, 6020, 267, 10854, 531, 648, 267, 3127, 454, 274, 300, 9169, 267, 5449, 17976, 337, 267, 4972, 540, 11270, 2632, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 275, 300, 9169, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 265, 11754, 816, 585, 4856, 22046, 775, 281, 717, 2246, 600, 717, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 476, 25148, 13975, 267, 3127, 267, 20052, 281, 1341, 11011, 268, 4200, 274, 5881, 277, 279, 2764, 271, 282, 19478, 281, 4757, 11333, 2593, 454, 291, 919, 281, 4427, 4784, 281, 476, 736, 4873, 476, 1001, 278, 282, 10088, 1386, 281, 476, 2764, 5147, 476, 1001, 278, 282, 15618, 281, 476, 4029, 5147 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 934, 565, 3547, 538, 9098, 779, 3309, 7111, 1977, 2146, 267, 22118, 8291, 786, 581, 711, 1152, 513, 1390, 6205, 267, 855, 786, 948, 2327, 602, 519, 9098, 7467, 540, 20963, 8551, 568, 513, 9754, 602, 5088, 806, 782, 8436, 3034, 5472, 8725, 814, 6039, 593, 519, 966, 300, 11902, 8274, 540, 11565, 4315, 2094, 476, 1001, 278, 607, 513, 4759, 540, 519, 4065, 9730, 267, 674, 14166, 744, 951, 697, 9730, 267, 32633, 3215, 4427, 1260, 2466, 6590, 543, 15445, 9730, 269, 769, 476, 1708, 272, 267, 1352, 15695, 519, 24498, 16457, 9730, 547, 1020, 966, 300, 11902, 779, 2244, 11760, 5443, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2026, 14397, 7108, 30135, 257, 607, 851, 540, 834, 11286, 1315, 3979, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 5863, 1158, 540, 1239, 256, 1411, 1522, 581, 11842, 1018, 1239, 568, 543, 1946, 621, 781, 1271, 269, 4270, 267, 4952, 596, 616, 593, 513, 14951, 6968, 269, 1677, 1265, 519, 16782, 267, 596, 991, 10881, 610, 1344, 602, 786, 1291, 596, 6251, 547, 873, 269, 2334, 781, 4010, 1018, 1239, 568, 910, 4773, 540, 1344, 602, 948, 721, 1451, 1007, 1919, 543, 4194, 2042, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 930, 3579, 4025, 1141, 3744, 2445, 1239, 827, 938, 4541, 543, 875, 789, 2671, 621, 609, 1866, 780, 5575, 267, 1577, 781, 2911, 827, 1945, 1572, 834, 24618, 3163, 4578, 7010, 2437, 610, 11536, 9169, 585, 2110, 269, 1452, 11570, 960, 2182, 547, 5531, 1344, 827, 938, 1753, 4541, 865, 649, 666, 1732, 1174, 621, 269, 1358, 1353, 3388, 689, 16767, 543, 24377, 547, 2916, 1689, 543, 22747, 256, 1635, 10655, 713, 3407, 1239, 267, 789, 1711, 513, 5458, 5399, 540, 5013, 543, 5515, 827, 3047, 269, 1656, 7058, 1018, 286, 1358, 1616, 3025, 1107, 1519, 9358, 1107, 547, 723, 1863, 1569, 547, 741, 4681, 256, 1215, 15813, 568, 602, 286, 9462, 490, 491, 6930, 504, 478, 692, 3086, 267, 972, 781, 1776, 9735, 1788, 1572, 11483, 6395, 267, 799, 6763, 585, 20497, 9540, 25823, 4578, 21733, 9974, 269, 16319, 7294, 267, 855, 1810, 1405, 5855, 267, 594, 9153, 621, 3884, 1405, 256, 5994, 2348, 707, 1360, 1378, 9682, 10760, 1472, 3047, 267, 2921, 5961, 543, 11018, 9623, 1175, 585, 596, 256, 2334, 1131, 581, 7168, 16517, 267, 26001, 286, 1809, 15408, 899, 1346, 666, 581, 7199, 269, 1924, 267, 7064, 547, 11483, 6395, 267, 3744, 945, 4309, 7616, 689, 519, 2817, 3163, 7690, 1205, 1569, 547, 891, 2706, 22342, 2645, 1510, 1022, 3063, 3790, 256, 898, 2337, 873, 798, 1256, 811, 6909, 1382, 269, 9320, 14693, 835, 540, 1346, 15408, 1223, 948, 596, 3605, 6456, 31140, 610, 3950, 5068, 3653, 538, 938, 12084, 256, 9462, 505, 364, 20804, 27501, 375, 20804, 692, 15563, 267, 649, 3112, 7340, 700, 7563, 12780, 269, 1403, 596, 2648, 6061, 13410, 267, 1287, 596, 3513, 740, 648, 700, 7563, 12780, 1317, 922, 5692, 568, 547, 4062, 1927, 1344, 689, 1082, 1114, 2959, 269, 13018, 267, 789, 1445, 593, 5020, 18888, 8178, 906, 630, 9448, 2026, 1070, 799, 1797, 4974, 1169, 1900, 540, 513, 1587, 781, 1272, 1107, 689, 950, 621, 781, 1101, 1500, 2394, 621, 3587, 17885, 269, 6056, 827, 707, 5172, 11442, 282, 2576, 1185, 547, 9553, 2326, 267, 5478, 621, 267, 10189, 621, 267, 3560, 621, 1862, 663, 6368, 267, 26565, 540, 621, 269, 2060, 700, 7563, 12780, 267, 3173, 9192, 6266, 540, 2370, 11353, 540, 1239, 547, 1294, 519, 2462, 4605, 543, 4137, 856, 2081, 547, 1118, 2472, 22928, 543, 10930, 585, 938, 1604, 269, 9462, 490, 365, 6930, 498, 361, 692, 3383, 1631, 596, 917, 875, 4241, 543, 1187, 2324, 609, 1239, 666, 581, 256, 12207, 10876, 7048, 593, 891, 2200, 547, 4228, 938, 1702, 827, 3047, 543, 3564, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 596, 3513, 1831, 513, 1239, 24413, 1932, 267, 26500, 11580, 543, 1818, 14262, 8906, 256, 8414, 3695, 256, 9462, 502, 488, 6930, 496, 375, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10574, 30498, 543, 4578, 24486, 8249, 454, 288, 1592, 540, 5989, 2200, 2813, 676, 3173, 6462, 676, 519, 2817, 3163, 7690, 781, 4317, 267, 19884, 543, 9483, 7070, 10615, 622, 4843, 609, 519, 3804, 540, 14027, 1382, 538, 782, 2127, 540, 1514, 267, 8965, 543, 2804, 1382, 454, 763, 3047, 3163, 4578, 7010, 630, 2464, 9169, 264, 5358, 2488, 2407, 543, 1930, 1569, 547, 8331, 779, 4015, 540, 3047, 2257, 1239, 585, 1620, 543, 7863, 938, 1753, 4541, 563, 11947, 7779, 5010, 3047, 8343, 1239, 568, 2139, 547, 22085, 293, 30845, 3173, 693, 1100, 3606, 1942, 998, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 264, 20497, 9540, 25823, 4578, 21733, 9974, 630, 5425, 6395, 264, 5358, 269, 634, 31351, 30793, 6558, 4484, 5532, 1657, 6257, 519, 1184, 585, 11543, 1569, 547, 713, 11052, 267, 519, 4867, 2139, 14449, 267, 543, 1644, 2866, 2200, 563, 299, 7563, 12780, 568, 513, 3844, 1448, 540, 1569, 547, 513, 4015, 540, 1239, 1065, 21627, 1559, 585, 946, 538, 5020, 18888, 10495, 1382, 2409, 269, 901, 635, 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 ]
[ 11983, 10260, 563, 763, 22882, 1063, 519, 4949, 517, 540, 835, 22813, 543, 519, 27765, 1679, 540, 1776, 22813, 610, 606, 4949, 517, 543, 513, 4276, 609, 513, 4887, 1591, 630, 928, 23757, 31100, 22882, 1916, 290, 20635, 540, 519, 8401, 1062, 602, 1683, 2168, 1489, 585, 519, 8401, 5160, 267, 1852, 5160, 12862, 1472, 519, 11409, 267, 543, 948, 9718, 519, 11409, 689, 32415, 7103, 543, 30542, 984, 7821, 269, 23893, 607, 1350, 658, 2281, 563, 763, 6198, 8229, 2281, 2047, 3743, 585, 6771, 540, 1344, 547, 543, 689, 519, 595, 10064, 547, 824, 2127, 540, 519, 1560, 563, 307, 16464, 640, 547, 2281, 540, 519, 3844, 8401, 1062, 630, 28090, 543, 11983, 10260, 264, 543, 519, 15672, 8401, 1062, 630, 333, 12883, 3544, 519, 595, 10064, 1916, 288, 11528, 8914, 4171, 3077, 1418, 568, 519, 8401, 1062, 563, 4322, 616, 6464, 602, 1847, 1344, 2066, 513, 5348, 8985, 676, 886, 6748, 2066, 519, 5348, 25443, 22882, 267, 11006, 547, 13364, 593, 519, 2022, 27675, 25443, 9245, 267, 543, 18398, 5108, 540, 606, 2962, 1761, 563, 6124, 10684, 13335, 630, 301, 6395, 994, 763, 1184, 676, 799, 513, 10672, 540, 513, 1007, 3075, 10039, 547, 519, 15111, 585, 6101, 13170, 547, 2344, 519, 3075, 563, 301, 545, 13534, 288, 5778, 1729, 343, 514, 602, 25907, 547, 1978, 669, 22223, 21544, 13364, 3976, 7303, 3339, 8849, 1599, 543, 14242, 563, 13233, 4659, 540, 27706, 8881, 543, 2657, 269, 898, 568, 606, 20576, 538, 519, 772, 2529, 269, 4972, 540, 2657, 1299, 5274, 7896, 602, 29377, 1382, 593, 1072, 10898, 538, 519, 9036, 563, 5591, 9866, 5703, 1520, 2091, 6356, 5426, 269, 634, 5207, 9570, 538, 513, 17219, 1353, 693, 799, 972, 941, 1100, 6757, 610, 8801, 2360, 4767, 563, 288, 2165, 1031, 547, 4766, 513, 11140, 267, 799, 568, 9243, 610, 19299, 9444, 513, 2318, 610, 2942, 5279, 563, 288, 3114, 32239, 540, 19076, 21544, 13285, 540, 1312, 519, 3844, 543, 15672, 8401, 1949, 269, 898, 568, 849, 3812, 676, 519, 29427, 1199, 1638, 320, 538, 3210, 547, 14242, 269, 898, 568, 519, 1482, 607, 6862, 611, 1066, 13824, 563, 4322, 616, 1804, 5214, 7135, 3330, 12303, 782, 1560, 2281, 630, 305, 6195, 338, 568, 606, 9868, 264, 602, 4558, 543, 1184, 1344, 693, 519, 7636, 1377, 563, 1607, 568, 513, 10053, 3148, 540, 519, 13540, 267, 799, 3568, 519, 10717, 543, 5027, 269, 898, 568, 519, 3135, 585, 678, 11748, 10282, 543, 10198, 540, 519, 10775, 25593, 3334, 563, 288, 9245, 27995, 851, 540, 513, 1591, 602, 3568, 22951, 1938, 267, 11476, 267, 543, 7576, 24418, 1231, 269, 634, 13540, 8060, 10307, 267, 3940, 10282, 267, 543, 519, 4859, 543, 4393, 540, 4719, 1344, 563, 12914, 12935, 270, 12850, 3487, 819, 3213, 324, 2310, 454, 763, 5223, 540, 519, 2179, 540, 513, 6219, 602, 786, 23271, 538, 12354, 12935, 8957, 519, 2179, 602, 786, 23271, 538, 1216, 269, 634, 2362, 519, 12354, 12935, 270, 4248, 15652, 11664, 519, 3152, 519, 12402, 540, 6219, 547, 581, 6740, 538, 9761, 8031, 563, 302, 323, 1091, 22472, 630, 302, 24250, 994, 288, 8579, 9819, 538, 513, 2013, 20820, 1353, 5473, 519, 5223, 540, 1981, 540, 606, 6534, 1895, 547, 602, 540, 606, 5805, 12723, 1895, 269, 1323, 744, 24250, 284, 273, 1797, 602, 519, 6534, 1895, 814, 7466, 519, 1981, 540, 519, 1875, 7721, 12723, 1895, 563, 288, 1826, 540, 1350, 658, 1591, 538, 519, 595, 10064, 602, 12109, 1186, 3294, 1472, 606, 4949, 517, 547, 1106, 24869, 514, 267, 799, 5713, 899, 13471, 563, 2704, 339, 1229, 610, 3765, 323, 20526, 1486, 334, 6823, 322, 10942, 799, 1287, 814, 519, 2702, 547, 2981, 519, 3339, 1591, 883, 513, 683, 31129, 1591, 269, 4107, 32346, 4094, 525, 8428, 689, 741, 1486, 334, 6823, 322, 4094, 525, 676, 513, 2582, 1448, 15817, 563, 288, 1895, 540, 8219, 602, 3565, 547, 1808, 3252, 1369, 519, 1560, 563, 288, 1016, 14978, 2497, 971, 607, 519, 26503, 610, 13540, 540, 513, 1591, 563, 288, 6219, 602, 3568, 524, 15772, 1836, 1532, 1180, 539, 3327, 543, 7250, 543, 1419, 824, 2609, 563, 16391, 545, 6464, 602, 2270, 513, 19552, 1895, 269, 3509, 616, 3810, 6757, 267, 607, 789, 616, 5827, 540, 22629, 540, 519, 11747, 1035, 25485, 3273, 1149, 614, 848, 693, 8849, 5348, 22663, 269, 3509, 13851, 543, 930, 13137, 8069, 616, 1418, 2684, 24043, 6464, 563, 288, 1895, 540, 8031, 10502, 11231, 865, 602, 865, 789, 666, 960, 1927, 547, 1685, 1808, 3252, 563, 30999, 1575, 1049, 8881, 543, 2657, 10029, 269, 634, 5057, 540, 519, 772, 2529, 269, 4972, 540, 8534, 3743, 585, 4180, 2922, 2324, 2175, 563, 288, 1689, 538, 513, 3114, 6353, 676, 519, 2530, 540, 9211, 269, 901, 568, 513, 3119, 18001, 594, 1826, 1979, 582, 4920, 4146, 6547, 454, 288, 3339, 16401, 528, 5444, 602, 8060, 1591, 6498, 543, 14242, 540, 7816, 11476, 547, 25580, 543, 11177, 8697, 4525, 540, 519, 5027, 269, 28100, 610, 30737, 10474, 540, 519, 533, 7871, 5444, 568, 2808, 513, 7700, 2014, 540, 1034, 11871, 563, 8450, 4239, 12935, 270, 4248, 15652, 11664, 563, 763, 3350, 2066, 513, 9245, 676, 2241, 18236, 563, 763, 7936, 540, 4915, 602, 3322, 519, 6198, 543, 7293, 2242, 538, 8031, 543, 8219, 602, 616, 3361, 676, 2068, 563, 303, 1069, 24777, 22452, 5426, 269, 634, 3044, 23616, 4327, 676, 519, 27706, 8881, 543, 2657, 10029, 585, 519, 5207, 2922, 1377, 540, 4598, 547, 513, 3114, 538, 519, 9036, 563, 763, 4483, 540, 513, 6219, 689, 519, 9018, 2627, 540, 519, 2960, 998, 519, 1351, 12149, 543, 9018, 6106, 543, 883, 519, 11528, 10009, 563, 8110, 8327, 531, 32471, 748, 3590, 630, 303, 10064, 994, 5472, 8401, 5160, 3544, 519, 3844, 8401, 1062, 563, 6781, 7538, 543, 17672, 2242, 547, 8401, 5160, 3544, 519, 2634, 610, 11983, 10260, 563, 28694, 2281, 602, 2760, 7941, 543, 798, 711, 723, 519, 2702, 585, 18643, 1256, 950, 14129, 610, 950, 930, 2281, 5884, 269, 6201, 616, 11409, 543, 4887, 2281, 563, 25802, 1507, 267, 9245, 27995, 31759, 799, 2270, 513, 1804, 3099, 540, 11476, 602, 1685, 513, 3309, 1305, 540, 10894, 3252, 563, 763, 1266, 5285, 532, 540, 5536, 676, 1978, 2281, 540, 519, 30057, 543, 30754, 1949, 267, 1634, 607, 943, 698, 14231, 269, 1912, 698, 26014, 2670, 568, 513, 3119, 10408, 8878, 7271, 1996, 4914, 5536, 610, 7103, 563, 23797, 2787, 540, 519, 942, 1576, 540, 3114, 10338, 267, 3892, 267, 10307, 267, 543, 17594, 563, 763, 2257, 602, 9388, 609, 519, 5169, 267, 2470, 267, 7998, 267, 2360, 543, 3096, 540, 5061, 563, 300, 26163, 5627, 8485, 919, 543, 26307, 1336, 538, 519, 1591, 9245, 269, 634, 19552, 2212, 568, 28920, 32281, 267, 6466, 519, 20188, 2766, 568, 28920, 11131, 563, 763, 2702, 540, 519, 1560, 547, 3082, 547, 2242, 610, 17613, 865, 602, 519, 1689, 568, 6225, 269, 21561, 538, 4887, 2527, 609, 3635, 568, 606, 1383, 540, 12214, 9542, 563, 288, 1770, 540, 2597, 9967, 540, 476, 272, 9076, 11669, 628, 540, 513, 6121, 630, 272, 1535, 476, 1015, 28260, 1321, 575, 1040, 715, 11065, 9745, 25824, 919, 25436, 5296, 563, 763, 1184, 17929, 513, 5277, 568, 1266, 5285, 539, 543, 3144, 883, 513, 1591, 676, 606, 27808, 24208, 540, 519, 1591, 9245, 267, 799, 1033, 2851, 543, 7575, 883, 519, 32594, 563, 763, 9245, 7768, 540, 8485, 30649, 1749, 267, 5946, 267, 543, 8501, 602, 3029, 519, 9018, 10465, 540, 513, 1591, 543, 21560, 519, 3350, 540, 6878, 883, 543, 856, 540, 519, 1591, 269, 23893, 607, 1591, 9245, 563, 763, 1875, 268, 14978, 267, 5714, 6712, 540, 2898, 1973, 563, 288, 1689, 538, 519, 5027, 5311, 538, 513, 5444, 563, 288, 6219, 5827, 540, 4929, 17219, 950, 12842, 883, 519, 1560, 538, 513, 5266, 1507, 7274, 563, 288, 2165, 1031, 547, 4766, 513, 11140, 799, 568, 9901, 610, 9357, 1242, 269, 21069, 6878, 616, 2356, 519, 15864, 585, 519, 1560, 547, 608, 4740, 563, 2304, 2333, 538, 519, 3339, 1297, 540, 15954, 563, 288, 3296, 540, 519, 2634, 602, 3252, 607, 513, 20794, 4099, 543, 20674, 538, 30717, 543, 1471, 30844, 5179, 1852, 563, 763, 1689, 538, 513, 1591, 865, 602, 621, 814, 4503, 1454, 540, 519, 3339, 5920, 563, 763, 2165, 4294, 547, 519, 27625, 10009, 1951, 1456, 519, 8031, 540, 519, 16063, 8778, 883, 519, 6797, 563, 20175, 540, 519, 5530, 454, 763, 8579, 2702, 540, 513, 1353, 547, 3713, 606, 1198, 563, 8512, 338, 829, 5479, 269, 634, 1297, 540, 4559, 540, 513, 6219, 538, 476, 272, 5479, 4559, 269, 26076, 289, 568, 513, 1455, 5834, 1770, 585, 32561, 5439, 540, 15702, 6878, 610, 23197, 6878, 563, 8512, 338, 829, 2929, 910, 519, 1297, 540, 4559, 540, 513, 6219, 538, 513, 2929, 4559, 269, 623, 15014, 568, 513, 1455, 5834, 1770, 585, 32561, 5439, 540, 15702, 6878, 610, 23197, 6878, 563, 288, 1981, 4879, 2203, 602, 17648, 2845, 3339, 3892, 585, 7109, 1734, 540, 606, 6534, 2551, 269, 898, 568, 3622, 2808, 20025, 585, 519, 4879, 540, 2860, 1981, 563, 763, 3791, 6444, 1900, 538, 519, 15910, 8328, 1184, 602, 568, 2404, 609, 519, 1646, 540, 519, 15748, 1591, 883, 513, 31127, 23872, 1591, 2551, 563, 763, 12093, 610, 8691, 540, 2147, 3029, 267, 2523, 2281, 563, 763, 2034, 1900, 538, 519, 15910, 14003, 1184, 538, 799, 1808, 8069, 630, 516, 31084, 547, 607, 3260, 619, 264, 3986, 519, 2417, 1646, 540, 519, 15748, 2281, 563, 3682, 338, 8826, 595, 2129, 677, 5530, 454, 2304, 27496, 1353, 538, 799, 16649, 2176, 616, 4857, 2687, 547, 1699, 23927, 269, 634, 20165, 568, 4553, 936, 942, 585, 519, 1646, 540, 1808, 2360, 267, 971, 607, 2860, 563, 288, 1950, 9436, 748, 6219, 799, 13054, 519, 1292, 2679, 1570, 538, 2281, 563, 763, 1034, 3309, 543, 10731, 540, 5214, 7135, 538, 519, 1560, 269, 1703, 616, 827, 476, 1911, 1822, 1114, 5686, 540, 5946, 602, 1685, 513, 1804, 3099, 540, 1271, 3252, 267, 971, 607, 519, 3940, 22405, 538, 1591, 17011, 267, 23128, 11294, 538, 2960, 543, 4552, 267, 20018, 538, 28587, 543, 28844, 267, 1250, 28009, 538, 6091, 267, 543, 24562, 538, 681, 6195, 338, 269, 634, 2679, 7161, 585, 5946, 616, 519, 476, 736, 11254, 7408, 563, 31863, 610, 1434, 10408, 6090, 602, 4051, 519, 2504, 540, 519, 9431, 5946, 543, 2208, 2188, 1369, 519, 1591, 610, 922, 9245, 269, 2920, 10474, 540, 513, 1486, 334, 6823, 322, 10942, 666, 2014, 27327, 538, 519, 3339, 2208, 543, 15285, 540, 2281, 267, 799, 5012, 547, 683, 6955, 14901, 563, 2419, 5190, 538, 519, 16298, 540, 519, 17422, 31276, 10008, 538, 799, 519, 3339, 25853, 2281, 616, 8719, 676, 32248, 5160, 269, 717, 1162, 14605, 27556, 2066, 519, 32248, 5160, 543, 3976, 3154, 5385, 568, 20427, 4389, 538, 519, 9641, 563, 288, 28115, 894, 1689, 538, 513, 1591, 538, 799, 621, 5394, 839, 609, 513, 16756, 532, 540, 519, 13540, 543, 519, 6985, 11294, 7873, 5151, 547, 513, 4396, 267, 2497, 1652, 2527, 610, 13999, 563, 288, 4152, 1505, 602, 3096, 1634, 3114, 1439, 9557, 547, 7447, 610, 3589, 7164, 1439, 9557, 585, 6464, 2147, 538, 2497, 610, 7271, 540, 2962, 563, 763, 3135, 1369, 519, 1560, 602, 30397, 610, 11392, 519, 17003, 267, 12823, 519, 1689, 689, 3339, 267, 543, 15920, 6786, 547, 519, 1852, 4099, 563, 288, 1689, 538, 513, 3114, 6353, 676, 519, 2744, 540, 9211, 269, 901, 568, 835, 540, 519, 1292, 18001, 594, 1979, 582, 4920, 4146, 6547, 563, 27270, 667, 846, 630, 305, 325, 291, 994, 763, 16501, 7447, 540, 513, 10715, 3232, 4598, 1377, 585, 3425, 602, 568, 2693, 547, 581, 1510, 1981, 540, 5739, 2360, 269, 681, 325, 17762, 616, 11807, 3106, 2157, 585, 5312, 1875, 322, 32555, 8328, 543, 11095, 2360, 269, 634, 1184, 1031, 547, 17589, 606, 681, 325, 291, 568, 513, 14842, 540, 602, 1031, 547, 17589, 606, 5084, 296, 563, 9824, 894, 11485, 630, 305, 305, 994, 288, 8579, 9819, 540, 519, 5223, 540, 2068, 538, 606, 6534, 2551, 547, 602, 540, 606, 5805, 12723, 2551, 563, 763, 1418, 1062, 602, 7472, 10351, 2281, 630, 1122, 7714, 543, 14203, 264, 543, 2488, 519, 1604, 585, 2208, 540, 519, 21565, 630, 342, 1580, 1040, 634, 1292, 10285, 8219, 616, 519, 30124, 267, 19786, 267, 7882, 776, 15374, 267, 1449, 525, 267, 17150, 14189, 267, 543, 519, 5007, 19058, 807, 563, 307, 16464, 640, 540, 519, 5256, 610, 4775, 10285, 1062, 269, 24768, 2360 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25881, 1472, 519, 1158, 269, 1284, 14952, 539, 693, 875, 1010, 18405, 9619, 2797, 9620, 267, 971, 607, 8165, 1996, 19525, 543, 22030, 269, 1656, 649, 8815, 602, 1010, 7681, 609, 519, 681, 770, 2378, 926, 3350, 5129, 513, 1713, 1909, 538, 5009, 1514, 5126, 543, 7862, 585, 1004, 540, 3979, 16350, 780, 2026, 938, 6643, 4682, 593, 267, 835, 4759, 540, 938, 1895, 3838, 513, 9670, 13414, 269, 2701, 5143, 721, 602, 1200, 22516, 729, 513, 1164, 8573, 21403, 4013, 538, 519, 2229, 1282, 3057, 2917, 781, 10715, 269, 1261, 1185, 1044, 25461, 609, 1139, 7675, 519, 3395, 3310, 540, 519, 681, 770, 2378, 4115, 3350, 543, 922, 13218, 547, 3057, 2917, 781, 2575, 269, 1717, 267, 1352, 7000, 602, 1200, 22516, 1185, 1831, 26970, 676, 3057, 2917, 781, 6835, 540, 9322, 267, 2648, 267, 543, 4187, 269, 3683, 942, 267, 646, 3459, 31205, 5885, 519, 2014, 543, 1210, 1010, 2990, 547, 2149, 3057, 2917, 543, 824, 7986, 681, 770, 2378, 12579, 780, 1607, 4729, 6335, 3366, 547, 1256, 811, 13730, 7391, 827, 519, 1379, 540, 1148, 543, 2575, 547, 8300, 1689, 543, 4161, 3964, 1949, 269, 3509, 540, 721, 10630, 593, 938, 1378, 2833, 609, 14882, 543, 8635, 543, 5941, 2081, 547, 8756, 938, 10845, 543, 17140, 883, 2318, 2962, 269, 1635, 519, 1439, 540, 519, 3781, 267, 649, 5433, 513, 17105, 2631, 540, 3483, 543, 17604, 267, 8087, 676, 519, 13710, 1379, 540, 7585, 3057, 2917, 781, 9371, 780, 7712, 1287, 267, 594, 723, 1500, 621, 513, 1448, 547, 1451, 811, 827, 519, 1686, 540, 1036, 326, 2801, 2575, 543, 922, 4276, 547, 2518, 1514, 5322, 269, 3245, 519, 4550, 268, 777, 691, 22727, 6560, 538, 3162, 4000, 547, 6805, 2924, 11044, 538, 4516, 267, 519, 11763, 18819, 543, 16779, 6835, 540, 1036, 326, 2801, 3136, 547, 13469, 609, 12790, 2950, 5001, 269, 3414, 621, 782, 267, 594, 993, 7683, 18056, 540, 519, 11358, 1909, 602, 5159, 899, 7585, 3057, 2917, 1404, 538, 5935, 1857, 11407, 543, 5807, 513, 811, 12581, 2486, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2491, 519, 6848, 1764, 540, 7585, 3057, 2917, 781, 1036, 326, 2801, 2575, 593, 6214, 543, 5198, 1894, 888, 296, 3112, 1683, 8369, 267, 855, 1775, 666, 1459, 930, 23610, 1344, 593, 27342, 2261, 2917, 781, 6848, 1764, 593, 6214, 543, 5198, 1894, 780, 321, 984, 2261, 2917, 781, 1036, 326, 2801, 2575, 568, 4922, 6444, 607, 513, 3532, 1907, 585, 5009, 1514, 543, 2797, 1689, 269, 1010, 2575, 8214, 1194, 2152, 899, 6710, 267, 15746, 267, 543, 7130, 267, 543, 6273, 5481, 540, 15628, 543, 5191, 25881, 1472, 519, 1158, 780, 3405, 2917, 781, 2575, 2968, 5702, 2404, 609, 519, 678, 770, 2378, 926, 3350, 267, 799, 729, 8547, 538, 795, 4821, 3821, 538, 519, 476, 4350, 271, 338, 543, 6322, 547, 3895, 1514, 5126, 543, 7862, 585, 1004, 540, 19052, 16350, 269, 519, 2575, 543, 2528, 540, 678, 770, 2378, 926, 5280, 547, 26595, 795, 4821, 15092, 2066, 7292, 543, 6803, 3515, 267, 2870, 513, 2631, 540, 2686, 3961, 602, 10489, 2105, 15523, 540, 5198, 543, 1362, 780, 3405, 2917, 781, 18405, 849, 9619, 519, 2797, 9620, 540, 1010, 942, 267, 1519, 519, 5571, 4339, 1996, 19525, 543, 22030, 269, 1010, 1660, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 281, 18904, 13543, 1315, 674, 2426, 328, 1299, 631, 2313, 7741, 454, 16215, 281, 674, 25193, 1546, 1260, 6570, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 3144, 513, 3802, 998, 519, 4104, 543, 2938, 3762, 8720, 519, 2666, 602, 3100, 1932, 2025, 547, 1869, 581, 972, 286, 2107, 6148, 596, 4312, 8068, 875, 3533, 3574, 13365, 14897, 538, 707, 4677, 269, 17451, 4898, 1018, 4523, 547, 782, 1346, 4666, 2371, 543, 20743, 286, 4270, 267, 621, 7140, 856, 602, 6263, 12325, 1572, 674, 7419, 22835, 1404, 513, 1713, 1909, 538, 8840, 1524, 543, 10920, 19397, 5214, 2326, 538, 2470, 256, 2913, 781, 4685, 883, 741, 4241, 1158, 543, 3605, 875, 789, 948, 1832, 938, 4541, 2973, 543, 2635, 780, 4089, 476, 272, 281, 1548, 616, 674, 2426, 328, 888, 293, 2426, 328, 1522, 1413, 899, 2371, 267, 855, 789, 2965, 4866, 547, 741, 1360, 1378, 10806, 256, 1358, 2097, 538, 1585, 5546, 543, 7306, 1107, 930, 2408, 607, 28489, 344, 16060, 267, 1247, 1866, 1106, 4190, 17228, 610, 547, 611, 560, 8962, 649, 1294, 1472, 721, 269, 4014, 1082, 1004, 1589, 540, 873, 1152, 607, 17705, 13000, 267, 13271, 798, 865, 1454, 811, 982, 1175, 1683, 1426, 282, 789, 22120, 5567, 1394, 883, 519, 3037, 2439, 4089, 476, 273, 281, 1215, 1684, 674, 2426, 328, 16505, 13560, 17667, 7698, 888, 293, 2426, 328, 2736, 1524, 4666, 7103, 676, 16089, 11476, 883, 741, 10450, 799, 666, 23271, 1950, 3889, 971, 607, 27794, 1336, 538, 2371, 269, 901, 1184, 5932, 12863, 6675, 602, 13271, 10110, 585, 1648, 543, 2208, 269, 3414, 713, 2962, 267, 13271, 5305, 1898, 5567, 19526, 1369, 4666, 2339, 267, 3850, 2713, 2371, 547, 19074, 891, 2609, 585, 741, 1646, 269, 30474, 3579, 267, 26001, 2496, 4089, 476, 274, 281, 589, 1849, 29141, 6733, 693, 674, 25193, 1546, 1260, 6570, 454, 3086, 1577, 781, 4983, 519, 3268, 3238, 538, 16507, 17883, 1384, 3721, 476, 272, 281, 1975, 648, 2885, 1588, 910, 1879, 2175, 616, 1318, 267, 24032, 5950, 676, 9921, 13271, 786, 10351, 3729, 267, 6721, 8142, 3697, 1728, 874, 2801, 602, 1332, 538, 3406, 540, 1426, 2959, 780, 3721, 476, 273, 281, 3733, 4897, 658, 8416, 19725, 910, 5754, 874, 2801, 6443, 1927, 8108, 3573, 5121, 1634, 607, 1250, 4897, 807, 267, 799, 694, 4740, 11476, 5827, 540, 9714, 532, 9157, 2030, 2326, 780, 3721, 476, 274, 281, 715, 22021, 12559, 26975, 910, 4495, 7745, 1524, 267, 2241, 14836, 267, 11254, 7408, 267, 543, 824, 4105, 7135, 1205, 12842, 676, 519, 1250, 4897, 1756, 267, 30740, 922, 7269, 780, 3721, 476, 275, 281, 1715, 674, 745, 1746, 645, 3672, 21277, 1027, 910, 16828, 267, 950, 2200, 1831, 17077, 267, 13271, 3132, 2927, 1746, 4703, 267, 4122, 6444, 607, 17228, 267, 547, 771, 704, 572, 24032, 543, 2253, 519, 4783, 1586, 780, 4089, 476, 275, 281, 4208, 9701, 1284, 5516, 6168, 674, 25193, 1546, 1260, 6570, 888, 2791, 949, 2307, 1946, 1620, 16507, 17883, 6927, 269, 4270, 267, 1934, 616, 1079, 8903, 4128, 1384, 272, 269, 14606, 2657, 910, 1635, 9657, 5567, 267, 13271, 2226, 3037, 12680, 267, 4180, 11327, 8134, 1141, 2371, 8853, 563, 273, 269, 12539, 18888, 19938, 910, 16458, 5214, 1570, 3568, 3327, 267, 799, 1131, 6382, 2611, 16290, 952, 711, 585, 16507, 6304, 269, 4935, 267, 13271, 3565, 3648, 547, 15725, 3047, 781, 3327, 4783, 2439, 6962, 912, 9202, 942, 596, 979, 3544, 267, 1491, 513, 6251, 1413, 693, 519, 2067, 1158, 1472, 596, 269, 1411, 3513, 1376, 711, 6005, 2963, 540, 16507, 17883, 10876, 256, 1452, 5863, 7103, 960, 24091, 3297, 519, 10207, 267, 4730, 2565, 5107, 538, 4509, 3666, 538, 938, 1604, 269, 3767, 3884, 1405, 602, 1945, 4502, 19825, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20464, 476, 275, 267, 476, 1001, 274, 454, 21080, 11261, 281, 5130, 476, 275, 267, 476, 1001, 274, 454, 8855, 532, 476, 1001, 273, 543, 18391, 28644, 547, 476, 1001, 274, 454, 8698, 519, 2985, 585, 713, 1650, 454, 295, 739, 19378, 4354, 6229, 11828, 519, 2825, 1164, 338, 543, 1970, 338, 540, 476, 1001, 273, 267, 543, 13922, 585, 476, 1001, 274, 609, 7671, 744, 685, 10673, 24274, 540, 11162, 5794, 13772, 267, 519, 4741, 585, 18143, 16844, 24202, 918, 1512, 534, 590, 3089, 1782, 267, 543, 14161, 6380, 2088, 689, 519, 9791, 7909, 4659, 269, 630, 6349, 281, 876, 994, 763, 21744, 540, 519, 7025, 15050, 454, 8698, 519, 2985, 585, 713, 1650, 454, 294, 2940, 10127, 335, 3855, 328, 267, 5518, 540, 519, 13477, 540, 11094, 966, 582, 619, 267, 2708, 525, 23436, 12722, 607, 1352, 22316, 547, 4734, 1200, 2022, 607, 2212, 540, 16501, 267, 543, 6837, 781, 811, 13476, 2247, 539, 1007, 2818, 609, 3984, 19378, 4354, 6229, 269, 630, 6187, 281, 2412, 994, 293, 2426, 328, 270, 589, 686, 12253, 1744, 777, 10098, 454, 8698, 519, 2985, 585, 713, 1650, 454, 2467, 781, 1454, 811, 547, 13271, 982, 519, 5432, 17228, 543, 547, 611, 560, 8962, 269, 1306, 589, 686, 12253, 1744, 777, 10098, 5359, 267, 13271, 616, 1312, 519, 1390, 15888, 543, 519, 1390, 6861, 619, 540, 519, 2030, 10806, 269, 630, 4962, 281, 1789, 994, 20112, 14086, 4425, 558, 454, 8698, 519, 2985, 585, 713, 1650, 454, 2026, 519, 3902, 540, 4154, 5170, 547, 4473, 267, 5599, 4130, 1244, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 25193, 1546, 1260, 6570, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 674, 2426, 328, 1299, 631, 2313, 7741, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 15215, 543, 28673, 910, 589, 6733, 693, 11619, 1014, 545, 17194, 543, 22560, 17325, 766, 585, 6348, 11219, 31974, 692, 8893, 476, 272, 281, 1548, 568, 15215, 2496, 9824, 580, 542, 568, 899, 513, 2462, 1920, 1500, 909, 540, 1082, 1114, 2516, 945, 2671, 2147, 4978, 267, 5389, 267, 543, 2853, 269, 4658, 2490, 547, 4984, 585, 4313, 267, 5583, 267, 543, 4267, 827, 1272, 781, 7887, 2055, 269, 1703, 616, 5215, 540, 10764, 5001, 267, 1142, 609, 922, 2189, 9821, 543, 10752, 2439, 8893, 476, 273, 281, 28038, 11619, 1014, 545, 17194, 692, 5970, 596, 2479, 4862, 540, 11619, 1014, 545, 17194, 286, 901, 7936, 540, 17194, 11099, 602, 4906, 2441, 568, 519, 16219, 6014, 31050, 855, 1869, 5205, 1082, 3344, 540, 2757, 6014, 1876, 543, 2528, 269, 6056, 540, 621, 607, 513, 3575, 540, 1079, 10600, 1107, 8567, 543, 17194, 1107, 4947, 1927, 538, 10103, 2439, 12244, 281, 5994, 952, 596, 1223, 9192, 707, 5172, 2694, 540, 1079, 1919, 596, 2648, 267, 899, 16741, 543, 4672, 8645, 267, 1018, 1131, 602, 1413, 899, 286, 9181, 707, 3860, 10659, 609, 513, 7649, 2439, 8893, 476, 274, 281, 5548, 1324, 1546, 4177, 883, 22560, 17325, 766, 692, 288, 2629, 851, 540, 11619, 1014, 545, 6014, 2259, 568, 1739, 519, 4031, 9788, 856, 538, 519, 22560, 267, 799, 2882, 519, 1101, 2947, 2835, 540, 519, 6196, 11620, 538, 519, 4168, 6426, 269, 1452, 4808, 948, 873, 2661, 6209, 2729, 4448, 547, 2696, 543, 741, 2146, 269, 2368, 2127, 789, 1445, 593, 1331, 11287, 519, 590, 30117, 1554, 267, 8192, 9993, 267, 543, 14812, 1759, 593, 13400, 2621, 780, 8893, 476, 275, 281, 4208, 6657, 22560, 16572, 4653, 2496, 2791, 1522, 4898, 1946, 2576, 1131, 1616, 547, 1246, 3652, 2854, 865, 1279, 3516, 269, 1280, 11619, 1014, 545, 7642, 267, 891, 4971, 906, 4196, 607, 23106, 540, 741, 26315, 2078, 609, 2696, 269, 1358, 3494, 602, 676, 1073, 324, 3539, 3571, 5528, 267, 789, 666, 1332, 6251, 547, 13924, 543, 1628, 6793, 4296, 1369, 741, 5132, 2146, 780, 30206, 7726, 281, 2052, 596, 1589, 540, 1022, 2413, 6377, 11650, 1063, 2828, 610, 3885, 602, 723, 1808, 6788, 610, 9021, 7923, 547, 873, 286, 9523, 930, 1806, 609, 707, 15032, 2439, 8893, 476, 276, 281, 1772, 9861, 10815, 16241, 14568, 2496, 5278, 8044, 602, 1373, 1447, 3909, 5012, 547, 3152, 13919, 543, 5191, 269, 1717, 267, 1866, 3409, 602, 15984, 547, 2245, 2488, 1898, 2497, 267, 3483, 267, 543, 2418, 269, 5457, 267, 3025, 814, 741, 1378, 2619, 950, 621, 2501, 547, 5289, 6927, 267, 543, 972, 781, 1100, 1318, 2626, 585, 16764, 2439, 310, 1905, 5455, 281, 10801, 713, 1770, 267, 649, 8268, 11619, 1014 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 2221, 781, 3059, 2085, 267, 513, 6389, 2012, 5713, 607, 513, 4105, 5057, 540, 513, 1870, 781, 2228, 4527, 269, 898, 568, 519, 2189, 32165, 602, 1463, 338, 4950, 3755, 547, 513, 1808, 3896, 267, 1818, 621, 513, 3407, 10697, 585, 4213, 543, 2043, 7567, 269, 1717, 267, 13882, 3823, 519, 9562, 543, 946, 540, 6389, 4408, 666, 8451, 267, 3056, 547, 1950, 3656, 12959, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 6389, 2012, 13882, 1369, 519, 2796, 540, 7214, 3959, 1876, 267, 4481, 2519, 593, 519, 14261, 540, 1547, 7563, 6389, 4408, 780, 6524, 11362, 883, 519, 2295, 540, 519, 2339, 267, 1577, 721, 1101, 3715, 930, 4909, 8847, 269, 589, 6389, 2012, 568, 513, 1480, 7888, 6041, 540, 606, 7379, 2232, 267, 7674, 607, 606, 3362, 12300, 2232, 585, 17034, 7270, 543, 824, 4950, 2200, 269, 23792, 4408, 2874, 540, 1079, 1292, 2694, 281, 519, 1283, 7400, 6389, 630, 307, 17162, 264, 543, 519, 2034, 7400, 6389, 269, 1280, 1383, 267, 538, 834, 314, 4178, 269, 9987, 28022, 28488, 10674, 2517, 4178, 269, 9987, 28022, 1070, 257, 834, 269, 8619, 257, 4564, 519, 570, 17162, 267, 1247, 834, 9987, 257, 18575, 519, 2034, 7400, 6389, 269, 1306, 6700, 4505, 267, 938, 1445, 6013, 5097, 609, 1547, 7563, 6389, 4408, 267, 799, 616, 13950, 676, 519, 8225, 5769, 32310, 16958, 630, 5746, 6938, 6393, 2026, 23616, 4327, 538, 519, 3355, 1349, 267, 7373, 7847, 5275, 547, 5150, 513, 1547, 7563, 6389, 2012, 1590, 15666, 547, 1978, 2175, 1305, 8521, 676, 16275, 6938, 781, 21362, 7949, 15716, 543, 8225, 3465, 775, 21976, 269, 1452, 4170, 2832, 547, 2327, 602, 1152, 14718, 9988, 609, 513, 15889, 4276, 547, 4516, 666, 11578, 1547, 7563, 11890, 269, 9182, 267, 891, 6042, 948, 2226, 519, 8699, 543, 3972, 10290, 1465, 540, 519, 1547, 7563, 4408, 10628, 267, 7303, 2166, 1499, 638, 520, 1154, 543, 824, 17351, 2238, 780, 3086, 267, 1018, 13054, 513, 6389, 2012, 15539, 286, 2311, 922, 4295, 267, 513, 6389, 2012, 15539, 14340, 950, 811, 982, 835, 5428, 6811, 1303, 1856, 618, 547, 513, 1880, 6389, 2012, 269, 6270, 7526, 1419, 4125, 31482, 540, 22028, 26418, 618, 267, 2166, 1499, 638, 520, 1154, 267, 1462, 657, 638, 520, 1154, 267, 610, 9258, 6389, 2012, 554, 6359, 22326, 269, 1677, 10146, 891, 1761, 2152, 1732, 267, 1577, 721, 4983, 873, 14350, 780, 272, 269, 570, 2784, 655, 1046, 5606, 16206, 618, 281, 1879, 513, 10805, 22028, 568, 1031, 607, 513, 6389, 2012, 1510, 28431, 689, 519, 22028, 8227, 267, 621, 949, 2285, 4473, 547, 513, 3409, 540, 22028, 26418, 618, 269, 1280, 3236, 267, 952, 513, 2754, 3957, 834, 27398, 5549, 1701, 22595, 519, 22028, 585, 834, 27398, 2437, 621, 1223, 5732, 4161, 1776, 11769, 781, 1318, 547, 7500, 896, 519, 834, 314, 29582, 28022, 28488, 10674, 2517, 29582, 28022, 17983, 6389, 2012, 563, 273, 269, 7261, 1499, 638, 520, 1154, 281, 4746, 1634, 607, 834, 3256, 664, 2695, 520, 1154, 2437, 2166, 1499, 638, 520, 1154, 4016, 547, 519, 2259, 540, 11578, 532, 610, 8066, 5196, 513, 6389, 2012, 609, 3983, 5132, 8247, 547, 7443, 689, 519, 1434, 15884, 2404, 609, 2576, 3116, 781, 22028, 269, 1323, 1383, 1131, 581, 11578, 532, 834, 314, 25912, 4067, 28022, 28488, 10674, 2517, 25912, 4067, 28022, 17983, 9003, 547, 6133, 621, 2663, 547, 519, 16048, 6216, 8227, 693, 1102, 3836, 5777, 563, 274, 269, 14977, 1842, 638, 520, 1154, 281, 5381, 547, 2166, 1499, 638, 520, 1154, 267, 1462, 657, 638, 520, 1154, 3322, 3854, 1944, 593, 1455, 10259, 6959, 610, 1462, 7240, 9073, 1500, 950, 3403, 1154, 15745, 338, 269, 5689, 5534, 11051, 1522, 11578, 7648, 540, 2442, 6389, 4408, 5627, 971, 4413, 335, 32478, 547, 31818, 5667, 639, 1051, 532, 6808, 2509, 741, 1378, 4609, 563, 275, 269, 681, 27654, 23792, 8745, 670, 6359, 22326, 281, 901, 2165, 6257, 8320, 1141, 22028, 5411, 3801, 547, 4636, 2685, 28958, 1852, 540, 513, 6389, 2012, 689, 922, 1318, 995, 23649, 269, 15380, 267, 713, 4386, 998, 7301, 569, 7682, 532, 22028, 2924, 610, 25937, 1666, 6804, 20286, 896, 4244, 15539, 6571, 6127, 899, 519, 31538, 23792, 8745, 2598, 335, 1393, 22375, 8889, 630, 11070, 14641, 6393, 2414, 11574, 519, 4220, 15054, 676, 891, 28302, 2853, 267, 1585, 3800, 723, 1044, 3964, 547, 8207, 6389, 2012, 13882, 3927, 269, 2290, 7986, 7271, 568, 519, 772, 11403, 303, 267, 606, 11880, 1243, 11889, 23312, 2919, 676, 519, 5769, 15278, 585, 2667, 11220, 18780, 543, 10606, 630, 2975, 3198, 301, 1040, 7201, 519, 772, 11403, 303, 5943, 267, 29153, 1218, 666, 4161, 18977, 6389, 2012, 7373, 5928, 1759, 593, 1614, 3119, 2609, 1384, 320, 269, 634, 29653, 6389, 2012, 1058, 581, 9838, 610, 1476, 639, 5944, 2147, 547, 513, 22028, 610, 3028, 1665, 538, 799, 519, 29153, 656, 814, 2924, 3248, 321, 269, 634, 4431, 550, 19330, 1022, 2924, 610, 16048, 4690, 538, 2463, 540, 519, 6389, 2012, 282, 543, 454, 322, 269, 634, 4431, 550, 814, 10805, 543, 3096, 519, 6389, 2012, 538, 3983, 5132, 780, 19675, 513, 8470, 1265, 782, 1614, 7355, 13854, 267, 789, 4865, 519, 6392, 547, 1931, 519, 4483, 610, 23545, 566, 540, 519, 31713, 6389, 2012, 4433, 1040, 12830, 569, 267, 2705, 267, 519, 772, 11403, 303, 1281, 711, 1683, 13075, 14319, 1107, 3079, 267, 922, 3483, 3788, 3908, 547, 5466, 2312, 24408, 2665, 5473, 29880, 14261, 2853, 780, 1103, 1840, 547, 519, 772, 11403, 303, 267, 6105, 2377, 549, 6150, 538, 6389, 2012, 13882, 949, 849, 3343, 2699, 816, 3842, 5480, 25036, 267, 3226, 950, 7231, 609, 7294, 6927, 3564, 519, 9165, 540, 15096, 3198, 301, 781, 3609, 269, 25408, 267, 8225, 10470, 5431, 3527, 12082, 538, 8429, 1055, 267, 10677, 26418, 618, 267, 543, 21556, 540, 4579, 7258, 2757, 22028, 6811, 269, 5015, 267, 27152, 14074, 21892, 896, 519, 8225, 5313, 2229, 781, 16278, 2709, 3606, 4027, 1996, 632, 21082, 6725, 12485, 543, 15490, 6735, 780, 16352, 8268, 519, 7811, 3344, 4478, 6389, 2012, 13882, 267, 649, 1631, 2490, 938, 3007, 547, 4052, 9270, 4143, 547, 5883, 971, 7526, 6707, 269, 3689, 543, 19466, 267, 5401, 2962, 568, 1898, 2390, 12423, 513, 1761, 18670, 269, 5548, 904, 538, 27510, 18659, 949, 1291, 547, 2417, 8374, 1524, 519, 1899, 267, 1519, 2799, 3790, 543, 21022, 10171, 540, 1967, 269, 4475, 267, 2038, 7020, 543, 16190, 3210, 1106, 2629, 3334, 540, 2500, 6389, 2012, 11268, 2994, 780, 30772, 267, 4509, 1930, 9055, 540, 2792, 1063, 3238, 6105, 666, 7520, 993, 27809, 21368, 3544, 6101, 18659, 269, 4014, 16395, 798, 711, 2141, 6556, 25685, 4093, 267, 2502, 538, 16268, 5188, 666, 12212, 1267, 538, 20102, 6225, 11650, 1510, 26089, 17890, 3656, 12959, 269, 5047, 267, 11744, 18515, 547, 21907, 1522, 24772, 7766, 7440, 4843, 1282, 10779, 25106, 3157, 267, 15386, 3646, 17298, 547, 2057, 30925, 780, 15563, 267, 5329, 32448, 540, 9687, 10883, 1440, 644, 1113, 7835, 17640, 547, 6389, 2012, 13882, 6087, 9439, 547, 3251, 6619, 540, 6932, 3466, 543, 3082, 9935, 269, 9717, 519, 6422, 2470, 540, 2029, 543, 7214, 3959, 1876, 267, 9363, 5483, 827, 2013, 1876, 10311, 267, 9431, 2242, 267, 543, 2872, 1655, 2853, 18327, 16832, 538, 10188, 713, 2479, 19145, 5251, 18390, 780, 1103, 3932, 267, 6389, 2012, 13882, 2099, 1713, 2591, 5185, 676, 8639, 5665, 1369, 519, 7706, 540, 7214, 3959, 269, 2060, 519, 18735, 540, 2228, 5867, 543, 3059, 7221, 267, 17420, 28106, 4690, 3587, 5051, 14063, 585, 7863, 12478, 267, 8088, 725, 267, 543, 2883, 8171, 269, 3414, 30190, 5464, 267, 7580, 4058, 267, 543, 11826, 14223, 267, 4648, 21751, 538, 713, 13395, 1858, 1796, 26405, 547, 1118, 6209, 7418, 4724, 5935, 519, 2104, 18330, 540, 6389, 2012, 10350, 543, 4655, 6571, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8802, 626, 1674, 540, 1547, 7563, 6389, 4408, 543, 1644, 2533, 616, 3177, 676, 552, 301, 558, 4516, 15278, 543, 552, 301, 558, 4516, 781, 11280, 25255, 267, 8069, 267, 543, 3651, 4315, 630, 3712, 937, 1947, 5219, 547, 538, 713, 8791, 808, 607, 834, 324, 301, 558, 4516, 19823, 5083, 340, 656, 547, 519, 1739, 2474, 269, 1635, 26446, 513, 7662, 547, 11578, 513, 1547, 7563, 6389, 2012, 610, 6382, 1210, 1022, 540, 519, 2533, 3177, 676, 552, 301, 558, 4516, 596, 11760, 543, 24901, 602, 596, 723, 1224, 267, 6956, 267, 543, 8815, 547, 581, 3808, 676, 519, 2474, 540, 713, 8791, 808, 269, 634, 2474, 540, 713, 8791, 808, 1331, 267, 1294, 2630, 267, 602, 596, 3858, 547, 519, 2474, 540, 519, 8225, 5769, 32310, 16958, 781, 9497, 5746, 6938, 781, 8442, 21362, 7949, 15716, 543, 8225, 3465, 775, 21976, 267, 1312, 540, 799, 949, 27057, 581, 1336, 693, 5291, 2517, 4178, 269, 857, 571, 28022, 19841, 11305, 520, 318, 8802, 626, 1674, 11258, 269, 1635, 26446, 513, 7662, 547, 11578, 513, 1547, 7563, 6389, 2012, 610, 6382, 1210, 1022, 540, 519, 2533, 3177, 676, 552, 301, 558, 4516, 596, 11760, 543, 24901, 602, 596, 723, 1224, 267, 6956, 267, 543, 8815, 547, 581, 3808, 676, 519, 2474, 540, 16275, 6938, 781, 21362, 7949, 589, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 558, 664, 8745, 2598, 1584, 525, 257, 607, 851, 540, 834, 30311, 1315, 25827, 16296, 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, 519, 7706, 540, 5339, 10070, 267, 5022, 3180, 513, 2027, 1747, 269, 1358, 2709, 721, 513, 19214, 883, 519, 2123, 4555, 267, 4606, 267, 543, 2833, 540, 2043, 945, 5030, 538, 1114, 2053, 543, 4025, 269, 7324, 891, 5022, 267, 2112, 5022, 3180, 1880, 4644, 1813, 547, 741, 2702, 547, 6655, 519, 6151, 4664, 267, 24279, 267, 543, 2591, 5185, 676, 7980, 543, 21127, 1282, 29053, 269, 634, 21626, 3177, 12857, 721, 547, 968, 29910, 538, 23582, 5020, 2223, 513, 4015, 540, 5022, 2854, 676, 9400, 27538, 827, 6723, 6115, 779, 1272, 269, 1284, 786, 2263, 1585, 3344, 540, 5339, 10070, 267, 4481, 2519, 593, 5022, 543, 2112, 5022, 267, 998, 519, 1739, 4798, 281, 2796, 267, 3140, 1871, 267, 3929, 16982, 267, 1893, 543, 2511, 267, 543, 4296, 547, 4207, 2486, 780, 3519, 3667, 281, 4197, 519, 17461, 454, 1366, 15365, 6524, 18167, 883, 519, 9115, 540, 513, 4484, 610, 513, 4015, 899, 968, 29910, 538, 23582, 5020, 2223, 621, 568, 1898, 547, 1174, 922, 3140, 267, 1514, 267, 2797, 267, 543, 2686, 2796, 269, 1280, 3236, 267, 6616, 811, 827, 9400, 27538, 543, 1010, 2078, 609, 6723, 6115, 666, 1683, 3407, 4030, 950, 2542, 1010, 2272, 540, 6115, 781, 6469, 1272, 269, 6684, 267, 1373, 3222, 540, 519, 942, 1974, 24568, 713, 2013, 267, 519, 3735, 22733, 2540, 1765, 3559, 1186, 3988, 5660, 519, 16082, 540, 519, 1893, 1031, 543, 9787, 519, 17888, 6848, 8155, 543, 2418, 269, 1635, 6313, 519, 4282, 540, 1312, 519, 2278, 4433, 264, 543, 18579, 4433, 1070, 2059, 609, 519, 6626, 8739, 3620, 626, 5566, 2796, 267, 596, 666, 10802, 707, 7664, 543, 2079, 540, 519, 5931, 780, 23208, 10025, 281, 3465, 6326, 6181, 9313, 454, 5785, 21387, 4131, 1562, 1419, 2270, 20250, 6589, 540, 2621, 267, 1004, 267, 543, 27742, 689, 1808, 8090, 538, 1686, 269, 1306, 971, 267, 789, 4196, 607, 3119, 2959, 602, 3565, 3648, 547, 938, 1702, 543, 1620, 540, 519, 2250, 269, 1280, 1383, 267, 519, 19359, 1063, 4108, 3401, 543, 741, 3885, 2488, 513, 2189, 5133, 593, 519, 2729, 540, 1346, 4299, 676, 10617, 269, 3958, 267, 4974, 891, 6054, 2636, 3173, 547, 5659, 875, 8369, 267, 4978, 267, 543, 8456, 723, 7960, 630, 528, 7283, 5812, 264, 2429, 1686, 269, 3414, 11091, 3646, 267, 8021, 267, 21517, 267, 15882, 267, 543, 3059, 5867, 2327, 4797, 10333, 543, 10083, 540, 891, 2326, 547, 1459, 543, 2104, 5481, 780, 10387, 10899, 1763, 28585, 281, 5890, 7675, 5274, 640, 27933, 18366, 454, 24801 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 266, 18196, 314, 573, 27994, 14824, 454, 453, 338, 27942, 815, 13483, 331, 314, 271, 281, 6352, 4433, 27942, 9984, 272, 27994, 8442, 4840, 13537, 13483, 331, 454, 453, 339, 787, 912, 453, 453, 19387, 20216, 31146, 4433, 27942, 994, 453, 21955, 281, 28768, 453, 13537, 834, 13052, 3041, 4811, 4840, 453, 692, 0, 12163, 5425, 5746, 268, 2568, 274, 281, 654, 330, 476, 278, 6997, 476, 276, 454, 12041, 281, 24177, 283, 623, 24170, 623, 4599, 327, 752, 541, 645, 1002, 9638, 343, 321, 9262, 272, 276, 287, 761, 12975, 1070, 15550, 599, 752, 3057, 8932, 17635, 14790, 4281, 280, 276, 287, 761, 12975, 264, 9563, 7531, 1607, 568, 513, 11015, 609, 513, 7470, 540, 2338, 543, 513, 1305, 540, 1614, 17574, 22795, 547, 1747, 269, 3962, 8955, 568, 5116, 593, 835, 454, 338, 13645, 540, 519, 7470, 543, 6227, 1614, 540, 519, 2185, 23276, 610, 19794, 11105, 10945, 269, 634, 3804, 568, 547, 454, 16225, 519, 5207, 2040, 540, 2338, 2009, 780, 309, 619, 542, 281, 476, 272, 269, 272, 454, 20701, 258, 7383, 338, 912, 5814, 10070, 454, 5814, 707, 5334, 15659, 318, 7116, 2544, 454, 5814, 15259, 29624, 692, 258, 6820, 4632, 912, 258, 18452, 9936, 1031, 547, 4159, 519, 1297, 540, 22795, 538, 519, 15044, 1592, 540, 5207, 2040, 7740, 454, 7224, 8170, 299, 553, 619, 815, 476, 271, 454, 258, 12025, 540, 519, 5119, 2016, 607, 3403, 454, 21653, 815, 476, 271, 454, 258, 1230, 13935, 519, 9343, 5833, 689, 519, 5119, 538, 519, 2016, 3758, 563, 4900, 815, 11713, 258, 589, 1592, 540, 8913, 1255, 5627, 1344, 593, 20098, 619, 971, 607, 922, 4737, 267, 6241, 267, 10066, 543, 2040, 454, 11907, 815, 10070, 8542, 3139, 14654, 921, 3488, 299, 6471, 3299, 18358, 992, 3299, 1412, 3712, 3299, 1412, 528, 1304, 566, 3299, 1412, 8999, 262, 7481, 258, 589, 10151, 1592, 2813, 547, 3180, 519, 1239, 454, 31184, 8266, 815, 29129, 3698, 1205, 10574, 10031, 825, 8173, 825, 717, 1115, 519, 1239, 689, 606, 3403, 3758, 543, 11378, 621, 883, 513, 1592, 454, 825, 2433, 12407, 281, 7183, 454, 825, 2433, 8873, 9343, 281, 589, 1592, 799, 568, 513, 5119, 5627, 2009, 7740, 585, 519, 22795, 454, 825, 8173, 825, 2518, 2450, 454, 825, 1247, 6936, 912, 1038, 3758, 11243, 815, 3403, 3488, 11767, 519, 3758, 2012, 281, 1412, 2020, 1038, 952, 3758, 11243, 26098, 3488, 269, 339, 868, 10807, 11203, 910, 272, 912, 2018, 952, 15259, 29624, 20216, 1235, 31526, 11243, 2187, 3546, 3758, 815, 1930, 31526, 11243, 994, 3546, 585, 1775, 538, 3758, 912, 7386, 2450, 6834, 476, 272, 454, 7386, 9343, 6910, 9217, 21858, 15405, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 3488, 8923, 4283, 513, 4570, 2619, 5073, 1038, 8640, 15259, 29624, 20216, 1235, 31526, 11243, 1341, 29717, 339, 868, 262, 2187, 3546, 3758, 815, 1930, 31526, 11243, 1341, 29717, 339, 868, 5073, 3546, 585, 1775, 538, 3758, 912, 7386, 2450, 6834, 476, 272, 454, 7386, 9343, 6910, 9217, 21858, 15405, 3546, 2736, 454, 1038, 3116, 912, 2018, 1820, 3488, 8923, 4283, 513, 3758, 602, 568, 2139, 538, 519, 15682, 8627, 5073, 825, 2132, 9343, 7531, 3698, 8955, 17004, 263, 4900, 2187, 825, 8173, 825, 717, 1115, 519, 1239, 689, 606, 3403, 3758, 543, 11378, 621, 883, 513, 1592, 454, 825, 2433, 12407, 9343, 281, 589, 1592, 799, 568, 513, 5119, 5627, 2009, 7740, 585, 519, 22795, 454, 825, 2433, 8873, 10917, 8266, 281, 589, 10151, 1592, 2813, 547, 3180, 519, 1239, 5627, 4737, 267, 897, 267, 10066, 543, 922, 8998, 11764, 454, 825, 8173, 825, 1948, 8998, 11764, 568, 519, 5021, 540, 519, 2040, 5833, 689, 1114, 31223, 540, 1367, 7740, 454, 825, 1948, 10917, 15575, 568, 519, 10151, 1293, 2838, 547, 621, 4733, 936, 1114, 31223, 540, 1367, 7740, 454, 825, 8998, 11764, 267, 10917, 15575, 815, 476, 271, 267, 476, 271, 454, 825, 1948, 6257, 519, 4287, 538, 799, 519, 2040, 540, 1367, 7740, 568, 1373, 7229, 454, 825, 10066, 815, 834, 4840, 825, 1948, 1230, 13935, 519, 10151, 2040, 540, 519, 7740, 2348, 476, 275, 31223, 454, 825, 2040, 815, 11713, 825, 585, 1775, 538, 2039, 4433, 1125, 2187, 1038, 585, 795, 538, 2039, 4433, 1125, 2187, 2018, 952, 9217, 2652, 476, 271, 543, 27203, 2652, 476, 271, 610, 795, 2652, 2450, 268, 272, 15892, 3546, 1948, 1236, 2354, 519, 7944, 2609, 593, 519, 1101, 4737, 454, 3546, 1780, 454, 2018, 8640, 1775, 2652, 2450, 268, 272, 543, 630, 329, 2652, 476, 271, 610, 795, 2652, 2450, 268, 272, 2187, 3546, 1948, 1236, 2354, 519, 7944, 2609, 593, 519, 2063, 4737, 454, 3546, 1780, 454, 2018, 8640, 1775, 2652, 476, 271, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 1283, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 3162, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 1775, 2652, 2450, 268, 272, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 5377, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 268, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 3345, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 795, 2652, 476, 271, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 2451, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 5101, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 795, 2652, 2450, 268, 272, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 1318, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 4639, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 3116, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 538, 519, 1647, 540, 519, 5119, 454, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 3162, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 268, 272, 6012, 329, 25818, 1412, 293, 5217, 3345, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 5101, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 4639, 262, 7481, 3546, 8998, 11764, 815, 3193, 4433, 636, 314, 271, 6012, 271, 3910, 2040, 314, 272, 6012, 271, 3910, 2040, 314, 273, 6012, 271, 3910, 2040, 314, 274, 6012, 271, 7481, 3546, 1247, 10917, 15575, 10922, 476, 274, 912, 7386, 952, 8998, 11764, 2652, 2040, 314, 31184, 15575, 6012, 271, 14158, 13376, 10066, 815, 2040, 314, 31184, 15575, 6012, 272, 2639, 7386, 10917, 15575, 815, 10917, 15575, 1341, 476, 272, 454, 3546, 2040, 815, 11713, 3546, 10917, 15575, 815, 476, 271, 454, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 10066, 267, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 825, 2132, 10917, 8266, 692, 3698, 1292, 10031, 825, 8173, 825, 634, 1292, 4991, 519, 3593, 13859, 3403, 585, 519, 1239, 3758, 543, 519, 1297, 540, 22795, 543, 454, 825, 16493, 519, 1592, 540, 5207, 8998, 11764, 7740, 609, 741, 4099, 7158, 543, 10066, 454, 825, 2433, 8873, 281, 7183, 454, 825, 8173, 825, 2518, 9343, 267, 1100, 8170, 299, 553, 619, 454, 825, 1948, 717, 1115, 519, 1239, 547, 581, 1031, 689, 519, 3403, 3758, 454, 825, 9343, 815, 1205, 10574, 10797, 825, 1948, 1306, 802, 585, 519, 1297, 540, 22795, 2394, 519, 3593, 13788, 606, 3403, 538, 519, 9138, 2039, 454, 825, 1247, 6936, 912, 1038, 1100, 8170, 299, 553, 619, 815, 3403, 3488, 11767, 519, 1297, 540, 22795, 547, 581, 5116, 281, 30386, 1038, 952, 3799, 334, 8170, 299, 553, 619, 18994, 333, 10179, 545, 3890, 2187, 2018, 1100, 8170, 299, 553, 619, 815, 703, 3799, 334, 8170, 299, 553, 619, 994, 2018, 1948, 519, 1297, 540, 22795, 1058, 581, 1447, 982, 610, 3160, 547, 519, 2009, 8955, 7740, 538, 519, 5119, 454, 2018, 952, 711, 630, 7224, 8170, 299, 553, 619, 10922, 630, 21653, 265, 21653, 268, 275, 15892, 3546, 1820, 3488, 8923, 4283, 513, 4570, 1297, 540, 20098, 619, 799, 568, 1447, 982, 610, 3160, 547, 1412, 266, 1193, 4433, 1125, 265, 21653, 268, 275, 264, 1341, 1412, 8206, 256, 5073, 2018, 3116, 912, 3546, 2736, 454, 1038, 3116, 912, 2018, 1820, 3488, 8923, 4283, 513, 4570, 1297, 256, 5073, 825, 1948, 595, 8712, 519, 1599, 602, 21410, 519, 8998, 11764, 540, 519, 7740, 538, 519, 2016, 5119, 454, 825, 1948, 4611, 8266, 568, 513, 24042, 5627, 513, 1592, 540, 15044, 22795, 454, 825, 4611, 8266, 815, 707, 5334, 15659, 318, 7116, 2544, 269, 1067, 613, 31374, 10857, 6471, 17004, 263, 4900, 11723, 825, 1948, 2598, 680, 904, 519, 4611, 1592, 1759, 593, 519, 3593, 781, 3403, 540, 519, 1297, 540, 22795, 454, 825, 585, 1775, 538, 2039, 3799, 334, 8170, 299, 553, 619, 2187, 1038, 1820, 3488, 3488, 266, 1598, 31114, 532, 8266, 5157, 6012, 271, 8079, 266, 12887, 1341, 1193, 31114, 532, 8266, 5157, 6012, 272, 8079, 266, 10807, 3299, 4611, 8266, 5157, 6012, 273, 3910, 1412, 11764, 815, 3299, 4611, 8266, 5157, 6012, 274, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5814, 536, 6853, 454, 5814, 19523, 692, 258, 6282, 525, 606, 11346, 269, 901, 11346, 12958, 513, 546, 16244, 1257, 3758, 563, 5035, 2637, 4733, 17572, 23330, 1807, 6357, 6853, 269, 18196, 20166, 704, 1807, 2187, 825, 1025, 16182, 4067, 815, 834, 15953, 269, 2102, 4733, 18316, 318, 28072, 4840, 825, 1025, 9078, 8475, 815, 834, 7049, 4733, 11711, 7358, 1807, 5016, 825, 1219, 14892, 4311, 267, 2796, 2187, 1038, 1820, 3488, 17730, 1007, 546, 16244, 1257, 3758, 1862, 5073, 1038, 2119, 912, 2018, 3758, 815, 1930, 3488, 270, 24610, 10768, 5282, 7933, 16244, 17902, 12887, 342, 5073, 2018, 3758, 25379, 4590, 1038, 4849, 912, 2018, 1820, 3488, 4462, 762, 547, 1711, 1257, 3758, 256, 5073, 2018, 2132, 27835, 293, 2562, 23360, 3633, 262, 8679, 1038, 1820, 2891, 288, 546, 16244, 1257, 3758, 729, 2813, 593, 1315, 24610, 10768, 5282, 5602, 1038, 2132, 27835, 293, 2562, 23360, 3633, 262, 10926, 258, 3204, 8651, 519, 11346, 454, 3698, 11578, 10031, 825, 536, 6853, 269, 583, 2812, 269, 2958, 3563, 318, 5035, 263, 7049, 4733, 17572, 23330, 1807, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 11578, 4590, 3097, 258, 14840, 519, 7097, 547, 11578, 621, 538, 2349, 2658, 267, 1287, 2046, 2230, 538, 519, 476, 274, 291, 2070, 454, 258, 543, 3406, 519, 11346, 538, 519, 1257, 4216, 269, 8437, 593, 621, 547, 14892, 269, 589, 546, 16244, 454, 258, 3758, 1590, 2408, 593, 1315, 24610, 10768, 5282, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7903, 1062, 602, 568, 1455, 609, 2527, 2504, 269, 769, 513, 7485, 1062, 267, 519, 10421, 547, 3132, 811, 4386, 607, 513, 2048, 338, 793, 531, 685, 689, 835, 1184, 547, 519, 3105, 1184, 563, 3674, 26227, 7903, 610, 7485, 888, 13070, 850, 568, 513, 1184, 540, 17444, 267, 2864, 982, 11319, 269, 623, 5241, 1797, 26471, 960, 547, 606, 11653, 267, 6466, 17444, 1797, 606, 11653, 1178, 25290, 741, 1985, 4305, 2899, 789, 723, 519, 19961, 547, 960, 593, 1945, 1007, 563, 1432, 616, 519, 2010, 540, 7485, 1062, 888, 2467, 616, 1614, 2596, 2010, 540, 7485, 2504, 1949, 912, 268, 8111, 21466, 29553, 3590, 269, 634, 1034, 2596, 543, 7839, 1826, 267, 849, 1634, 607, 513, 6445, 5346, 610, 25579, 7321, 610, 513, 15178, 7485, 1062, 269, 6693, 268, 14938, 1113, 29553, 3590, 269, 6693, 268, 24908, 8111, 21466, 543, 14938, 1113, 29553, 3590, 269, 6693, 268, 6423, 281, 3807, 2987, 6874, 830, 13870, 282, 3683, 335, 3174, 563, 268, 14424, 281, 32379, 13870, 563, 1432, 568, 7485, 20319, 888, 1432, 1281, 968, 335, 1638, 892, 1611, 286, 29553, 20319, 602, 568, 5059, 593, 519, 1439, 3804, 543, 14439, 1142, 31317, 2534, 538, 519, 1697, 5311, 540, 2621, 269, 901, 2337, 547, 2697, 1022, 4123, 610, 2534, 1688, 26160, 689, 519, 1394, 1439, 282, 3850, 3025, 593, 519, 1788, 547, 917, 950, 543, 1018, 2115, 547, 581, 2944, 547, 1832, 519, 1788, 12902, 563, 3674, 20855, 3316, 7903, 610, 7485, 888, 298, 534, 3316, 568, 513, 7485, 2861, 1184, 267, 2495, 267, 2319, 2818, 7485, 960, 547, 2933, 950, 789, 723, 519, 19961, 1107, 960, 568, 711, 14593, 610, 8655, 676, 2576, 3116, 268, 543, 5601, 256, 602, 2306, 513, 1713, 3017, 563, 1432, 616, 519, 476, 276, 3268, 540, 737, 534, 3316, 6388, 888, 2467, 616, 2947, 1292, 3268, 547, 7598, 513, 20855, 3316, 1062, 912, 268, 10439, 1125, 707, 1699, 20104, 563, 268, 15233, 4518, 2987, 268, 31088, 630, 310, 7709, 264, 7182, 563, 268, 5269, 4507, 8763, 563, 268, 28509, 543, 2268, 2095, 563, 268, 8838, 4476, 12055, 8271, 609, 1239, 563, 1432, 568, 3017, 1063, 7485, 543, 7903, 888, 2690, 576, 281, 32379, 543, 29553, 589, 3196, 602, 2242, 519, 4287, 540, 606, 1843, 2509, 596, 267, 602, 1131, 581, 513, 7485, 269, 2201, 519, 824, 1688, 267, 952, 621, 7575, 2476, 267, 621, 568, 513, 7903, 563, 1432, 568, 513, 7903, 1062, 888, 1103, 11891, 267, 7903, 1949, 616, 1346, 1141, 519, 1870, 9753, 2472, 609, 519, 2832, 540, 9513, 269, 769, 824, 1913, 267, 519, 1870, 24864, 922, 4540, 6006, 593, 519, 7082, 269, 32379, 1949, 616, 899, 27617, 12754, 12020, 630, 2207, 303, 264, 610, 7698, 12754, 12020, 630, 300, 14641, 264, 1949, 563, 1432, 568, 519, 1292, 3017, 1063, 7903, 543, 7485, 1062, 888, 763, 1292, 3017, 1063, 7903, 543, 7485, 1949, 568, 602, 538, 513, 7903, 1062, 267, 2504, 9598, 919, 875, 1454, 540, 519, 1587, 786, 581, 968, 16476, 1117, 892, 547, 519, 2344, 1247, 538, 513, 7485, 1062, 267, 1699, 3747, 968, 335, 1638, 338, 892, 519, 5370, 267, 1775, 4318, 269, 621, 9598, 919, 950, 543, 875, 1454, 547, 3132, 269, 0, 9802, 476, 274, 267, 476, 4489, 278, 281, 9605, 10032, 519, 4639, 9098, 14224, 2218, 3427, 538, 32368, 518, 269, 634, 1153, 729, 32206, 267, 543, 621, 7960, 883, 519, 9872, 1631, 1634, 607, 8000, 558, 659, 3557, 5441, 563, 9802, 476, 275, 267, 476, 6245, 277, 281, 634, 5753, 779, 5851, 5980, 729, 4646, 676, 513, 1895, 540, 4077, 31760, 26110, 693, 519, 962, 300, 7563, 269, 4256, 3804, 729, 547, 1747, 29152, 539, 543, 20495, 1453, 609, 12391, 3885, 2864, 982, 15624, 873, 883, 10315, 4057, 17346, 563, 9802, 476, 276, 267, 476, 4572, 274, 281, 589, 3595, 3323, 676, 7143, 10249, 2324, 593, 513, 1007, 10977, 7535, 10032, 1034, 540, 700, 10044, 5244, 267, 606, 31768, 6288, 538, 4077, 31760, 269, 4014, 700, 10044, 779, 5411, 9307, 602, 789, 1131, 25580, 267, 519, 6288, 2760, 556, 641, 2989, 563, 9802, 476, 276, 267, 476, 4572, 274, 281, 30110, 2536, 9291, 23720, 729, 4535, 538, 15391, 15838, 269, 1261, 4465, 811, 982, 476, 1789, 23594, 4721, 936, 513, 5722, 11546, 322, 1228, 4876, 543, 568, 2808, 835, 540, 519, 1655, 23153, 5716, 538, 1686, 563, 9802, 476, 277, 267, 476, 8687, 273, 281, 2920, 22999, 543, 10629, 9410, 7605, 2581, 5548, 1415, 729, 4535, 538, 8176, 16011, 269, 769, 5988, 476, 5908, 276, 267, 646, 729, 20827, 607, 513, 2101, 538, 519, 772, 2529, 269, 2051, 1819, 18858, 3591, 269, 1261, 729, 519, 1152, 3979, 12677, 6406, 2782, 11464, 547, 581, 2016, 513, 2361, 4971, 563, 9802, 476, 277, 267, 476, 3422, 279, 281, 589, 6024, 1295, 518, 3684, 693, 519, 717, 879, 2917, 15021, 1299, 3213, 651, 29017, 572, 6202, 3143, 269, 476, 279, 9553, 2759, 883, 606, 11105, 9553, 267, 799, 729, 4904, 609, 1216, 269, 634, 4611, 6360, 546, 27547, 2185, 19379, 543, 16290, 476, 2641, 1866, 563, 9802, 476, 278, 267, 476, 9264, 275, 281, 8298, 534, 6019, 729, 2813, 676, 519, 9098, 4937, 13909, 689, 2694, 540, 717, 3796, 267, 570, 1794, 1168, 749, 267, 16410, 749, 267, 543, 20855, 1177, 3873, 17521, 269, 634, 10315, 10160, 729, 1101, 1634, 607, 4521, 985, 6807, 267, 1287, 19966, 19265, 267, 543, 6368, 8298, 534, 563, 9802, 476, 278, 267, 476, 6977, 278, 281, 5261, 12138, 5839, 290, 1251, 548, 729, 4535, 538, 9412, 8822, 6019, 267, 9098, 267, 593, 1010, 4651, 779, 24873, 269, 1261, 6039, 607, 4639, 9098, 779, 27630, 17294, 563, 9802, 476, 278, 267, 476, 2735, 274, 281, 634, 1715, 5211, 717, 5282, 2817, 5211, 3459, 4238, 950, 519, 1101, 21233, 4099, 8118, 2282, 674, 599, 8291, 6807, 563, 9802, 476, 279, 267, 476, 5908, 275, 281, 29366, 1338, 10158, 1633, 23846, 729, 4535, 538, 12876, 23992, 269, 23846, 729, 513, 7986, 5755, 3046, 517, 543, 6039, 538, 519, 772, 2529, 269, 14130, 689, 476, 4489, 272, 547, 476, 4489, 274, 563, 9802, 476, 279, 267, 476, 1960, 279, 281, 27737, 20388, 902, 11969, 20462, 5747, 693, 519, 2085, 540, 476, 9834, 269, 1261, 729, 1101, 11221, 547, 6837, 538, 476, 4350, 273, 543, 6039, 585, 476, 2412, 1296, 563, 9802, 476, 280, 267, 476, 5197, 271, 281, 589, 2513, 819, 626, 3627, 9466, 729, 4535, 538, 8776, 2590, 2023, 267, 21086, 269, 3571, 476, 6977, 280, 986, 573, 593, 4498, 11825, 12113, 787, 27647, 1242, 519, 4182, 267, 2417, 9813, 908, 519, 3345, 543, 3162, 563, 9802, 476, 280, 267, 476, 7277, 274, 281, 20752, 22342, 2048, 8072, 14582, 548, 685, 685, 15196, 323, 729, 4535, 538, 6742, 1231, 7921, 269, 2201, 5147, 476, 275, 267, 476, 5908, 272, 267, 5617, 548, 8929, 513, 25463, 27365, 17199, 543, 3323, 1200, 22342, 4876, 563, 9802, 476, 280, 267, 476, 5908, 274, 281, 20752, 986, 11107, 8452, 693, 8738, 940, 25951, 267, 654, 7398, 6019, 269, 1703, 789, 1305, 3595, 547, 476, 5611, 267, 1822, 29054, 540, 3282, 267, 3282, 13688, 267, 9817, 585, 23028, 267, 2599, 8075, 267, 530, 30368, 267, 543, 3282, 2000, 23565, 16996, 563, 324, 8862, 309, 281, 634, 4639, 9098, 15610, 568, 513, 1788, 540, 519, 4639, 9098, 28299, 7027, 269, 1280, 811, 1344, 267, 3346, 519, 4639, 9098, 28299, 7027, 267, 476, 14530, 271, 20855, 1177, 3873, 2349, 341, 323, 269, 661, 1421, 4077, 31760, 267, 654, 309, 476, 26562, 4905, 282, 630, 19054, 264, 476, 31798, 268, 25616, 271, 282, 610, 3643, 552, 8862, 309, 693, 8940, 9884, 1597, 11602, 3820, 269, 0, 6635, 628, 15727, 568, 4440, 519, 1297, 476, 272, 2068, 540, 938, 20258, 1062, 269, 2311, 2547, 267, 2687, 547, 519, 3486, 7194, 602, 1131, 5815, 875, 1082, 540, 938, 10284, 686, 1824, 1131, 849, 7985, 689, 621, 269, 2859, 982, 476, 1321, 260, 540, 32228, 2103, 1131, 4061, 581, 4299, 676, 713, 2068, 267, 799, 3079, 9060, 922, 2594, 538, 3013, 269, 7316, 1175, 856, 540, 7279, 267, 4892, 4299, 676, 30169, 1131, 9765, 476, 1428, 10065, 4340, 547, 12665, 689, 782, 936, 519, 1158, 267, 835, 540, 519, 16167, 547, 2061, 519, 12625, 540, 713, 2068, 1131, 581, 7328, 269, 769, 1249, 267, 676, 8362, 2921, 1416, 540, 938, 4887, 3159, 267, 649, 1131, 581, 5732, 1447, 693, 1981, 269, 901, 568, 1018, 519, 4966, 1131, 8044, 269, 1809, 581, 2264, 602, 2899, 1586, 519, 2732, 1223, 9797, 610, 11874, 1860, 938, 1560, 563, 763, 2956, 540, 835, 540, 519, 2547, 1634, 8324, 454, 24791, 918, 1131, 581, 519, 3742, 16502, 538, 519, 6604, 540, 21404, 267, 855, 849, 540, 30169, 269, 4706, 4527, 538, 938, 1560, 1131, 581, 3743, 585, 519, 2953, 8647, 540, 5946, 269, 4746, 1360, 1271, 585, 1697, 1973, 32378, 267, 713, 6171, 1131, 581, 513, 1483, 15441, 1063, 6091, 267, 8031, 543, 7633, 269, 1635, 3246, 519, 2953, 5666, 540, 7513, 585, 519, 3232, 968, 10852, 5199, 892, 540, 938, 1560, 269, 769, 513, 2428, 9917, 961, 267, 952, 649, 1831, 28119, 538, 713, 6171, 267, 938, 20258, 1062, 1131, 581, 538, 10423, 7411, 269, 898, 568, 1454, 1447, 6994, 2213, 982, 519, 811, 4583, 8324, 645, 267, 595, 543, 667, 547, 2012, 1175, 513, 1906, 267, 855, 621, 1131, 581, 11613, 1100, 1447, 1271, 563, 302, 4614, 18576, 543, 930, 3029, 540, 30169, 1223, 4323, 721, 676, 2921, 5413, 540, 519, 10638, 540, 713, 2370, 14194, 3200, 2213, 855, 4909, 6171, 454, 29995, 513, 7059, 2732, 602, 2882, 513, 3099, 540, 3536, 593, 938, 3349, 1058, 10018, 721, 519, 2953, 3232, 6981, 540, 6171, 918, 269, 3807, 547, 1491, 2476, 519, 7279, 540, 938, 3988, 267, 789, 32736, 538, 713, 6219, 912, 268, 19997, 543, 23858, 3248, 268, 22282, 543, 28471, 31884, 3248, 268, 22156, 543, 535, 3317, 601, 3248, 268, 14274, 543, 22053, 563, 4517, 849, 930, 1360, 1455, 5613, 971, 607, 18683, 267, 737, 12685, 529, 267, 4453, 338, 543, 15708, 269, 634, 2179, 540, 476, 9610, 2890, 31810, 513, 1554, 585, 606, 2937, 1131, 4061, 3592, 2141, 581, 16798, 693, 519, 3349, 269, 1809, 267, 19890, 267, 2687, 547, 4966, 543, 3744, 267, 1851, 519, 10867, 9019, 2188, 540, 519, 30529, 2477, 267, 972, 568, 849, 519, 3668, 540, 713, 6171, 563, 2005, 10355, 20489, 538, 4079, 855, 581, 2264, 540, 1453, 454, 302, 4614, 18576, 543, 930, 3029, 540, 818, 628, 15727, 1223, 849, 4323, 721, 1813, 547, 519, 3668, 540, 713, 6171, 269, 1717, 267, 922, 4430, 525, 1131, 581, 3833, 4686, 538, 4079, 269, 1809, 267, 2628, 3007, 267, 3079, 267, 547, 9360, 538, 12256, 543, 20854, 269, 769, 1249, 267, 4758, 1453, 7050, 9360, 267, 1519, 6171, 918, 2861, 9360, 267, 1223, 1118, 873, 795, 16184, 823, 543, 8914, 519, 6797, 269, 1280, 602, 267, 2899, 1586, 267, 519, 5796, 568, 547, 2490, 547, 7189, 543, 12665, 543, 711, 547, 957, 540, 707, 1378, 786, 269, 4634, 538, 519, 6718, 540, 1018, 949, 3100, 899, 513, 2241, 2067, 7110, 563, 19322, 1479, 18969, 4712, 547, 2736, 855, 849, 9991, 4552, 1223, 581, 1813, 547, 519, 3668, 540, 713, 7777, 602, 568, 1932, 19765, 13846, 0, 288, 24637, 3493, 21627, 4016, 547, 519, 2724, 20024, 538, 513, 7813, 2272, 602, 666, 581, 32585, 593, 24683, 663, 1510, 1022, 4434, 5469, 269, 1306, 513, 7263, 3218, 267, 596, 666, 946, 519, 3747, 16005, 7482, 585, 707, 4948, 9276, 269, 6884, 267, 972, 568, 513, 6378, 3970, 538, 2474, 540, 11198, 532, 689, 519, 2272, 267, 4470, 2390, 519, 4871, 563, 10267, 9535, 543, 9806, 6589, 616, 519, 1455, 1806, 540, 3747, 12074, 269, 1452, 616, 1114, 689, 519, 2165, 12074, 538, 799, 596, 723, 547, 7227, 585, 513, 6378, 1974, 1354, 11198, 532, 519, 2179, 563, 5278, 1883, 2934, 540, 3747, 12074, 616, 607, 5205, 912, 307, 1779, 547, 938, 5092, 11285, 454, 1607, 568, 519, 1034, 1455, 1106, 540, 3747, 16005, 267, 799, 3091, 1713, 28880, 543, 2636, 11198, 532, 6666, 693, 1022, 3236, 269, 634, 10992, 2272, 1522, 7118, 513, 8766, 1719, 607, 519, 3747, 16005, 6589, 4125, 2539, 1981, 269, 1717, 267, 1759, 593, 519, 2883, 8502, 610, 519, 4871, 267, 972, 1223, 581, 513, 3017, 538, 519, 1719, 6976, 563, 1607, 2272, 568, 585, 519, 3747, 12074, 4371, 513, 3787, 3476, 982, 519, 2110, 3856, 10992, 6589, 269, 8750, 338, 538, 713, 2272, 723, 2539, 28880, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31745, 528, 10794, 281, 589, 6239, 3281, 9426, 540, 7982, 326, 2459, 517, 692, 12988, 326, 2459, 517, 568, 513, 5929, 4604, 3014, 602, 814, 1044, 10150, 676, 1004, 2066, 4529, 543, 5481, 269, 634, 3014, 3322, 1079, 5716, 945, 1491, 7140, 12902, 18062, 543, 3001, 741, 4773, 1472, 519, 4604, 2687, 547, 519, 2338, 18202, 269, 2755, 972, 616, 1082, 2994, 543, 2553, 3238, 538, 4730, 1394, 326, 2459, 517, 267, 835, 1898, 5057, 540, 519, 3014, 568, 519, 19671, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1523, 540, 12979, 832, 538, 1394, 326, 2459, 517, 267, 922, 4644, 267, 543, 875, 621, 3252, 1369, 519, 6626, 2796, 540, 519, 3014, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 2620, 1620, 540, 519, 1909, 540, 12979, 832, 538, 1394, 326, 2459, 517, 543, 875, 789, 666, 1764, 519, 6364, 540, 519, 3014, 780, 1432, 568, 606, 31745, 528, 538, 7982, 326, 2459, 517, 2496, 2304, 19671, 568, 513, 7580, 13307, 540, 835, 610, 811, 2638, 619, 593, 513, 1448, 538, 519, 18545, 781, 1753, 4604, 269, 4706, 3119, 3483, 568, 547, 2061, 519, 18545, 689, 14656, 856, 519, 3014, 676, 12946, 1055, 782, 540, 741, 2638, 619, 269, 1879, 513, 6345, 20964, 606, 19671, 267, 789, 5150, 513, 2990, 593, 519, 4604, 602, 2636, 873, 547, 2226, 930, 1852, 936, 741, 18545, 781, 5322, 1247, 849, 3246, 513, 2922, 10093, 585, 741, 1378, 2638, 619, 780, 763, 19043, 540, 31745, 832, 538, 7982, 326, 2459, 517, 15613, 692, 1103, 1394, 326, 2459, 517, 267, 2348, 606, 19671, 2488, 1896, 5383, 269, 17616, 267, 621, 7182, 519, 18545, 781, 3681, 585, 1818, 2798, 267, 3226, 952, 789, 1152, 723, 835, 610, 1079, 2638, 619, 593, 513, 1448, 269, 19627, 267, 621, 5932, 3255, 585, 6305, 4070, 267, 3850, 519, 6345, 547, 1628, 513, 3774, 540, 2638, 619, 602, 9673, 1206, 519, 18545, 781, 10688, 1256, 2417, 269, 14936, 267, 606, 19671, 5713, 607, 513, 1761, 5614, 4580, 585, 22215, 519, 18545, 781, 2638, 619, 950, 519, 4316, 14340, 780, 4913, 267, 9591, 606, 19671, 3340, 6297, 7156, 269, 1773, 5217, 1932, 1082, 2638, 619, 593, 513, 2582, 1448, 949, 4734, 824, 2127, 7925, 267, 2870, 12755, 602, 519, 18545, 1223, 17908, 269, 5047, 267, 606, 19671, 1058, 23679, 581, 5116, 593, 513, 1448, 1141, 519, 18545, 814, 1906, 610, 1100, 2638, 619, 267, 4180, 5021, 7145, 269, 4475, 267, 3384, 513, 2178, 19671, 4640, 3340, 1312, 22509, 697, 543, 13916, 780, 29753, 2659, 31745, 528, 15613, 692, 2414, 3927, 6451, 12979, 832, 883, 707, 1394, 326, 2459, 517, 4640, 267, 2015, 519, 1739, 4388, 1384, 272, 269, 10576, 4617, 9634, 281, 6733, 585, 2127, 593, 707, 18545, 781, 4604, 1141, 789, 723, 7864, 2638, 619, 610, 9039, 693, 782, 269, 26787, 606, 19671, 593, 971, 2798, 4679, 519, 8458, 540, 1967, 1247, 10893, 16426, 11992, 563, 273, 269, 18696, 25213, 543, 8878, 281, 5457, 602, 12979, 832, 4196, 12242, 5301, 1107, 17516, 513, 2990, 543, 12145, 707, 18545, 781, 3681, 269, 5899, 633, 547, 10880, 513, 3666, 1063, 10728, 1404, 6322, 693, 29212, 17837, 262, 2638, 619, 543, 17872, 1404, 5059, 593, 4509, 513, 4396, 4527, 593, 519, 4604, 563, 274, 269, 4165, 4602, 622, 2104, 7575, 281, 11408, 1589, 6619, 543, 14650, 2009, 4093, 1759, 593, 1114, 18062, 20061, 269, 6333, 2436, 17923, 4540, 12979, 832, 610, 2679, 1007, 3283, 1131, 1683, 1732, 2164, 2016, 519, 6381, 563, 275, 269, 11154, 547, 4657, 3871, 281, 2142, 5423, 547, 12189, 707, 4640, 607, 2877, 1759, 593, 707, 18545, 781, 3527, 269, 1403, 606, 19671, 3587, 12219, 267, 6430, 3533, 2436, 547, 7794, 621, 267, 1847, 621, 267, 610, 10205, 621, 15587, 563, 276, 269, 6657, 2306, 3501, 281, 15043, 15334, 538, 1210, 12979, 832, 3217, 942, 543, 1995, 269, 7591, 4749, 1996, 1585, 5578, 2157, 543, 5659, 707, 2773, 547, 2697, 9342, 543, 12755, 538, 707, 1935, 780, 14483, 12367, 543, 7464, 21509, 10241, 692, 15697, 5867, 899, 3828, 3558, 543, 13334, 2709, 15792, 2200, 585, 11287, 1164, 7400, 1394, 326, 2459, 517, 13292, 543, 1565, 689, 19023, 5716, 269, 654, 10248, 4648, 6330, 1950, 7653, 5473, 12979, 832, 666, 1683, 3407, 4030, 883, 4359, 12485, 543, 2994, 269, 5015, 267, 10283, 538, 2228, 4663, 23788, 610, 11836, 2199, 15731, 3091, 3255, 585, 28798, 1983, 543, 2502, 609, 8284, 12439, 780, 6962, 692, 8139, 519, 1523, 540, 12979, 832, 543, 6220, 873, 883, 707, 1394, 326, 2459, 517, 4640, 3648, 10597, 707, 2949, 29863, 269, 1635, 9301, 741, 2956, 543, 8026, 2500, 6388, 267, 596, 666, 21592, 707, 7555, 1851, 15712, 543, 2333, 707, 18399, 540, 713, 15851, 3014, 269, 1306, 596, 3356, 998, 707, 3460, 538, 13215, 1394, 326, 2459, 517, 267, 3314, 602, 9639, 267, 18094, 267, 543, 7279, 616, 1883, 10256, 540, 2208, 543, 6454, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 930, 2081, 547, 1118, 21175, 1187, 585, 3214, 286, 3973, 267, 1946, 711, 2119, 930, 540, 891, 1187, 543, 1863, 21175, 4976, 7824, 338, 585, 3214, 563, 2791, 3580, 4440, 581, 11112, 8600, 606, 5863, 21175, 21649, 543, 596, 2731, 723, 547, 1832, 2370, 3946, 11112, 865, 596, 666, 9096, 707, 1378, 4247, 269, 1452, 1187, 7792, 2238, 267, 3756, 267, 543, 21175, 7801, 9212, 616, 513, 1390, 1259, 547, 7038, 3214, 593, 21175, 4303, 2336, 2467, 779, 513, 1390, 3575, 540, 7064, 15130, 3211, 543, 2238, 585, 782, 6502, 689, 9251, 547, 10026, 563, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 23333, 3036, 5058, 623, 8980, 2464, 11123, 918, 10680, 454, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 717, 6938, 2316, 307, 11070, 292, 27334, 9169, 11123, 918, 10680, 454, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 11553, 19860, 21764, 717, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 630, 536, 22857, 267, 12805, 3014, 267, 25094, 10152, 6968, 994, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 20796, 16775, 4047, 292, 4811, 11123, 918, 10680, 630, 5320, 3406, 267, 3406, 543, 3343, 267, 2262, 26545, 1076, 994, 9617, 4945, 519, 4647, 7735, 543, 1820, 707, 1378, 12215, 585, 2123, 946, 563, 11514, 25068, 281, 901, 2022, 3568, 24988, 6402, 799, 596, 666, 1451, 811, 827, 1934, 563, 8025, 3198, 16775, 294, 4353, 5058, 23333, 3036, 5058, 623, 8980, 2464, 17676, 11553, 19860, 21764, 7300, 454, 5575, 909, 616, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2304, 577, 528, 10632, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 7982, 326, 2459, 517, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4210, 15781, 883, 11059, 1107, 28133, 5851, 14840, 14216, 2421, 692, 5970, 596, 2479, 26927, 3139, 540, 18644, 1753, 8255, 899, 707, 5172, 11683, 13477, 28473, 630, 7876, 289, 264, 6345, 286, 4270, 267, 1205, 4712, 1317, 649, 2811, 827, 547, 2263, 606, 6909, 4316, 602, 666, 948, 2490, 1346, 9909, 883, 4641, 256, 901, 3184, 12857, 596, 547, 519, 1158, 540, 21738, 1753, 2196, 3541, 9812, 543, 875, 596, 666, 7119, 538, 873, 269, 1635, 519, 1439, 267, 596, 786, 917, 1018, 3937, 547, 946, 267, 945, 666, 6443, 267, 1141, 547, 1129, 909, 267, 543, 811, 2439, 1432, 568, 513, 5851, 14840, 14216, 2421, 888, 10900, 7042, 5331, 19480, 909, 547, 519, 6676, 1282, 513, 3014, 543, 1159, 4770, 519, 3440, 856, 540, 519, 6288, 256, 2334, 781, 4010, 1018, 4523, 538, 513, 1753, 2196, 3541, 2421, 269, 14847, 6002, 1491, 7140, 3843, 547, 5734, 607, 1082, 1753, 8255, 607, 2009, 1369, 513, 1978, 942, 3970, 610, 1297, 540, 23638, 269, 898, 781, 513, 1187, 1259, 547, 1397, 1055, 707, 10627, 1154, 1983, 1247, 849, 1750, 1359, 593, 1866, 780, 763, 16066, 289, 12789, 5851, 14840, 14216, 2421, 454, 10900, 13430, 28899, 13477, 28473, 6499, 547, 5000, 7820, 5481, 547, 1404, 13836, 543, 2571, 4252, 269, 1677, 798, 865, 267, 789, 723, 2813, 519, 16066, 289, 12789, 5851, 14840, 14216, 2421, 12544, 18487, 6735, 1930, 547, 8695, 543, 6690, 9907, 476, 1321, 543, 896, 630, 1321, 308, 264, 543, 476, 1691, 543, 896, 630, 1691, 308, 1070, 607, 1134, 607, 2571, 4252, 5716, 9907, 476, 1691, 543, 896, 630, 1691, 308, 264, 543, 476, 1626, 543, 896, 630, 1626, 308, 1040, 19893, 1101, 14526, 538, 741, 2199, 2950, 1354, 3001, 593, 547, 6237, 1710, 1023, 267, 543, 6368, 267, 519, 3084, 23594, 1222, 2439, 13420, 3612, 10261, 539, 454, 1366, 15365, 2414, 2327, 14619, 543, 3106, 267, 972, 616, 1808, 3652, 3823, 16835, 543, 11084, 1031, 538, 519, 16066, 289, 12789, 5851, 14840, 14216, 2421, 269, 1280, 2878, 19668, 4252, 1262, 267, 5171, 1590, 946, 2901, 513, 834, 24433, 257, 610, 834, 289, 6195, 3036, 257, 16826, 539, 10627, 609, 513, 5021, 15506, 13437, 16748, 630, 21990, 293, 264, 540, 476, 272, 269, 1428, 543, 513, 476, 273, 476, 276, 270, 279, 10759, 610, 4130, 22902, 8006, 269, 8074, 602, 16835, 609, 513, 476, 273, 476, 382, 378, 10759, 22902, 616, 10691, 4847, 269, 2201, 519, 824, 1688, 267, 2878, 7809, 4252, 1262, 15712, 991, 513, 10627, 609, 606, 4013, 589, 6347, 270, 24433, 9941, 4252, 16826, 269, 5269, 2386, 547, 2638, 891, 4170, 5402, 950, 8939, 707, 10591, 2439, 21093, 27973, 547, 14847, 324, 454, 10900, 692, 3086, 602, 596, 1174, 1018, 513, 1753, 2196, 3541, 2421, 568, 543, 1018, 3937, 547, 3142, 1577, 781, 2911, 827, 8600, 585, 519, 2680, 3294, 269, 3689, 267, 1265, 856, 952, 707, 2146, 14747, 606, 5993, 3541, 2421, 282, 952, 621, 3085, 1405, 267, 2015, 12180, 835, 3054, 256, 8921, 267, 3313, 2436, 596, 1616, 547, 14526, 538, 13836, 610, 2571, 4252, 543, 3442, 519, 3617, 2085, 6498, 1759, 593, 519, 4266, 7396, 538, 519, 4808, 630, 17141, 5147, 476, 736, 628, 540, 1142, 1032, 1040, 7053, 267, 3314, 547, 2259, 5781, 543, 24917, 707, 18711, 4480, 780, 14294, 532, 5455, 543, 11109, 8342, 454, 10900, 7042, 5629, 3388, 568, 1305, 267, 979, 6619, 543, 11578, 2228, 1210, 519, 3177, 3095, 269, 3973, 267, 782, 602, 781, 2451, 568, 6029, 909, 693, 519, 11280, 2361, 609, 707, 2838, 3937, 543, 4758, 621, 707, 1655, 8929, 256, 5213, 1405, 7340, 547, 2972, 1169, 4090, 540, 519, 1995, 910, 1310, 782, 267, 10283, 538, 971, 2621, 2636, 721, 547, 1711, 20605, 8823, 543, 1451, 3407, 1272, 4245, 2059, 519, 1259, 269, 6153, 9939, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9802, 476, 1724, 267, 476, 1708, 274, 454, 11277, 277, 5101, 476, 1691, 628, 9335, 454, 32292, 4821, 4975, 267, 18919, 476, 27844, 4905, 454, 10403, 7926, 281, 16066, 289, 12789, 25264, 684, 14216, 2421, 454, 306, 12944, 267, 2904, 476, 1724, 267, 476, 1708, 274, 454, 32292, 4821, 4975, 568, 9599, 547, 14773, 513, 1863, 4316, 585, 2199, 13836, 1299, 2571, 4252, 5716, 547, 14526, 538, 519, 16066, 289, 12789, 25264, 684, 14216, 2421, 593, 2904, 476, 1724, 628, 585, 513, 4960, 547, 14526, 693, 519, 2817, 5685, 1023, 2336, 2691, 281, 2904, 476, 1724, 267, 476, 1708, 274, 454, 8005, 281, 28473, 24812, 476, 1321, 308, 1299, 476, 1691, 308, 270, 25413, 4252, 24812, 476, 1691, 308, 1299, 476, 1626, 308, 454, 8489, 281, 28418, 12197, 267, 476, 11277, 277, 661, 476, 1691, 628, 853, 267, 24861, 4975, 18919, 454, 25413, 4252, 815, 589, 6347, 270, 24433, 9941, 4252, 853, 2086, 563, 26015, 4252, 815, 7330, 610, 18917, 3036, 16826, 609, 476, 272, 269, 1428, 22680, 293, 610, 1447, 269, 476, 273, 476, 276, 270, 279, 22902, 610, 1447, 269, 2608, 273, 476, 274, 270, 275, 22902, 711, 4847, 20330, 21848, 2759, 11325, 281, 5147, 476, 736, 267, 476, 1708, 274, 454, 1321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 15654, 19906, 8029, 825, 952, 711, 2855, 6769, 1038, 2132, 476, 271, 1477, 825, 1376, 815, 1295, 19906, 3418, 825, 1439, 815, 3193, 19906, 3418, 825, 2132, 2612, 12759, 19906, 264, 910, 7003, 263, 9792, 263, 11034, 267, 1439, 1341, 476, 272, 30727, 0, 3698, 9904, 1242, 4433, 8029, 825, 952, 711, 521, 6769, 1038, 2132, 521, 1477, 825, 521, 318, 21671, 318, 24393, 815, 1412, 8339, 21860, 8443, 577, 585, 669, 538, 521, 952, 669, 18994, 10401, 3890, 29573, 825, 952, 711, 521, 318, 21671, 318, 24393, 6769, 1038, 2132, 521, 318, 21671, 318, 24393, 1477, 825, 521, 5334, 9285, 815, 15044, 4433, 318, 21671, 318, 24393, 267, 1883, 284, 14433, 669, 281, 669, 31573, 3890, 3418, 825, 2132, 1412, 8339, 21860, 4433, 5334, 9285, 264, 0, 3698, 530, 558, 839, 318, 720, 3799, 8029, 825, 3490, 815, 562, 12262, 476, 273, 952, 562, 4939, 476, 273, 2652, 476, 271, 3116, 630, 333, 910, 476, 272, 264, 12262, 476, 273, 1477, 825, 1007, 5332, 815, 476, 736, 952, 562, 4939, 476, 273, 2652, 476, 271, 3116, 476, 2641, 1477, 825, 2132, 535, 257, 346, 333, 348, 286, 2334, 781, 1175, 2715, 2908, 5332, 9574, 538, 3490, 2715, 19668, 348, 10590, 0, 5228, 2979, 1104, 6989, 267, 21762, 5897, 3698, 1265, 318, 18905, 318, 2399, 832, 3799, 8029, 825, 1427, 815, 1496, 15947, 825, 1247, 562, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 562, 1315, 284, 476, 273, 1477, 825, 585, 1775, 538, 2039, 263, 274, 267, 6989, 4433, 5720, 3799, 4297, 1341, 476, 272, 267, 476, 273, 8029, 1038, 1247, 562, 4939, 1775, 2652, 476, 271, 6769, 2018, 1427, 6910, 9217, 3418, 2018, 562, 1315, 284, 1775, 1477, 825, 952, 562, 3436, 476, 273, 6769, 1038, 1427, 6910, 3799, 3418, 825, 2132, 1427, 5897, 3698, 1265, 318, 4486, 263, 16780, 11736, 318, 4486, 8029, 825, 6305, 318, 2399, 832, 815, 1265, 318, 18905, 318, 2399, 832, 17301, 263, 16780, 11736, 318, 4486, 267, 476, 1626, 17903, 825, 2132, 630, 18905, 318, 2399, 832, 15631, 272, 316, 910, 476, 272, 264, 2608, 630, 18905, 318, 2399, 832, 15631, 273, 316, 910, 476, 272, 264, 0, 3698, 23396, 263, 560, 8029, 825, 2132, 1412, 8339, 21860, 10857, 269, 21639, 3890, 952, 561, 538, 1412, 2801, 328, 537, 262, 3116, 561, 585, 561, 538, 588, 264, 0, 3698, 6580, 318, 9792, 263, 720, 8029, 825, 952, 2085, 10922, 476, 1691, 6769, 1038, 2132, 535, 262, 346, 842, 263, 720, 910, 476, 271, 269, 272, 2608, 2085, 14587, 268, 346, 842, 263, 720, 1341, 476, 271, 269, 272, 2608, 2085, 14587, 262, 1477, 825, 2132, 535, 262, 346, 720, 12262, 476, 273, 1341, 476, 278, 18511, 18950, 720, 910, 476, 278, 264, 2608, 476, 273, 348, 262, 1477, 0, 3698, 20262, 318, 273, 16229, 19304, 978, 8029, 825, 2132, 1412, 8339, 21860, 263, 577, 952, 669, 31573, 3890, 711, 538, 1412, 2801, 328, 537, 262, 3116, 1193, 9217, 264, 585, 1775, 267, 669, 538, 26246, 19304, 978, 267, 476, 272, 4297, 0, 3698, 1011, 1712, 19906, 2567, 567, 1477, 825, 952, 1826, 19906, 314, 271, 8079, 568, 703, 543, 1826, 19906, 314, 272, 8079, 568, 703, 6769, 1038, 6060, 815, 2855, 314, 271, 316, 1341, 2855, 314, 272, 15947, 825, 8640, 1826, 19906, 314, 271, 8079, 568, 703, 610, 1826, 19906, 314, 272, 8079, 568, 703, 6769, 1038, 6060, 815, 2855, 314, 271, 316, 952, 1826, 19906, 314, 271, 8079, 568, 703, 3116, 2855, 314, 272, 15947, 825, 3116, 6769, 1038, 2132, 1412, 309, 1355, 256, 262, 1477, 825, 1427, 815, 1496, 15947, 825, 585, 562, 538, 2039, 263, 16557, 8029, 1038, 1427, 6910, 19906, 3418, 825, 2132, 1427, 0, 5814, 5569, 5897, 3698, 2013, 5334, 17567, 4433, 8029, 825, 952, 711, 521, 6769, 1038, 2132, 1496, 12148, 267, 1496, 14963, 1477, 825, 2132, 1496, 338, 18994, 12294, 19572, 1592, 6600, 559, 614, 10857, 10033, 669, 281, 669, 538, 5569, 269, 30913, 328, 318, 6269, 27664, 267, 1496, 12072, 585, 4484, 538, 521, 316, 4297, 316, 0, 3698, 1293, 318, 24393, 318, 663, 5091, 580, 1080, 4433, 8029, 825, 2132, 2040, 263, 272, 585, 669, 538, 521, 952, 669, 18994, 10401, 3890, 610, 669, 18994, 323, 13424, 28829 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1445, 741, 3646, 593, 25305, 1346, 6589, 1210, 811, 2757, 1490, 1393, 268, 4403, 2409, 563, 27879, 5320, 30574, 568, 2500, 1317, 1082, 3755, 1869, 946, 4617, 267, 3362, 7058, 762, 18538, 267, 971, 607, 968, 10139, 5320, 11277, 892, 610, 968, 611, 2381, 6100, 634, 30429, 6238, 676, 3843, 513, 1906, 1455, 18538, 1996, 513, 1804, 1297, 540, 6589, 267, 15691, 547, 1265, 513, 1507, 1297, 540, 6589, 602, 946, 835, 540, 1346, 18538, 269, 1358, 666, 1287, 946, 1346, 6589, 547, 15583, 622, 741, 22864, 543, 2744, 1569, 547, 6213, 1239, 563, 2414, 2149, 1996, 10957, 30574, 6285, 267, 596, 666, 1246, 891, 3268, 912, 268, 2422, 2178, 18538, 281, 2422, 2178, 543, 2189, 18538, 585, 1142, 540, 707, 6589, 267, 543, 1118, 2386, 789, 616, 693, 2547, 476, 1321, 3197, 1279, 543, 1331, 513, 3575, 540, 5022, 267, 2338, 267, 543, 6698, 563, 268, 2037, 762, 1079, 29969, 17452, 630, 273, 11902, 2567, 5565, 29969, 17452, 2488, 606, 3063, 4494, 540, 3354, 676, 8506, 513, 2034, 3815, 267, 971, 607, 513, 3354, 18351, 610, 513, 835, 6066, 3009, 2366, 547, 707, 6049, 267, 538, 1840, 547, 707, 10957, 563, 268, 17115, 9337, 707, 18538, 281, 17115, 1689, 707, 18538, 543, 946, 513, 10957, 9614, 547, 18172, 4558, 707, 18538, 563, 268, 18554, 707, 6589, 281, 17115, 6895, 707, 6589, 585, 1022, 19035, 2534, 543, 1867, 1022, 18977, 1569, 5612, 563, 268, 2142, 18762, 540, 26122, 1085, 4461, 281, 2142, 18762, 540, 26122, 1085, 4461, 602, 2119, 547, 8945, 596, 883, 4758, 909, 707, 10957, 267, 543, 2141, 13182, 519, 13597, 540, 15737, 543, 7270, 1354, 10024, 707, 10957, 563, 268, 2422, 513, 3354, 3070, 281, 6333, 1210, 513, 3354, 3070, 971, 607, 513, 2123, 31216, 610, 28456, 3301, 547, 2149, 707, 3457, 543, 5121, 1996, 6285, 563, 268, 13773, 5483, 281, 13773, 5483, 827, 519, 5767, 3354, 6937, 543, 1655, 2853, 585, 7863, 3054, 1996, 873, 269, 0, 11900, 728, 540, 513, 9855, 281, 1548, 568, 513, 9855, 17214, 540, 888, 763, 7599, 2627, 568, 1454, 811, 982, 1018, 519, 3750, 666, 1294, 269, 1879, 3168, 693, 938, 2067, 9682, 779, 2627, 689, 3047, 267, 596, 1522, 4952, 602, 621, 779, 8900, 543, 972, 779, 4986, 649, 666, 1265, 593, 713, 3046, 1066, 2627, 269, 1809, 649, 2907, 917, 621, 779, 711, 519, 2013, 269, 1403, 596, 1616, 547, 917, 1018, 568, 519, 9855, 1500, 540, 267, 1224, 2417, 543, 1174, 811, 827, 713, 18477, 1560, 602, 814, 19832, 8103, 585, 5553, 269, 18833, 811, 827, 1018, 779, 3330, 519, 9855, 568, 607, 1271, 607, 6616, 811, 827, 922, 2627, 563, 763, 1101, 3364, 547, 917, 267, 9855, 779, 4295, 1281, 2291, 267, 1932, 269, 3807, 899, 938, 4541, 267, 621, 814, 513, 12933, 267, 513, 25136, 267, 543, 513, 4295, 269, 1656, 713, 4295, 1522, 581, 11303, 676, 2571, 543, 10169, 5277, 25183, 4401, 269, 4706, 9018, 4295, 666, 8831, 2509, 519, 16538, 547, 607, 2484, 607, 476, 20542, 5195, 610, 476, 4335, 5998, 563, 2691, 3379, 547, 824, 18477, 4703, 267, 519, 16264, 4295, 568, 1152, 476, 736, 260, 540, 519, 3003, 9855, 269, 769, 824, 22586, 4703, 267, 713, 4295, 568, 909, 547, 476, 2004, 10065, 1656, 896, 519, 9855, 779, 12933, 267, 596, 666, 1265, 476, 30663, 5195, 610, 476, 272, 267, 1822, 5998, 5394, 12776, 14459, 563, 8368, 540, 12937, 454, 3674, 519, 9855, 513, 5182, 610, 513, 4224, 888, 2414, 1174, 811, 827, 519, 16264, 2627, 543, 1018, 568, 519, 9855, 1500, 540, 267, 621, 779, 1271, 547, 1101, 917, 1018, 519, 9855, 568, 269, 1677, 2253, 609, 267, 621, 568, 10691, 513, 5182, 269, 4634, 952, 621, 31438, 899, 782, 824, 6801, 856, 972, 267, 16264, 1769, 568, 538, 1249, 267, 519, 1769, 4947, 689, 519, 6129, 543, 10630, 689, 519, 16264, 2627, 563, 2252, 596, 1616, 547, 917, 1018, 779, 883, 519, 9855, 267, 3314, 602, 713, 18477, 1560, 666, 1406, 5337, 924, 3294, 899, 6801, 269, 1656, 2094, 519, 16264, 4295, 2760, 5337, 1243, 267, 621, 3112, 581, 1572, 513, 5182, 563, 763, 16264, 5888, 20998, 602, 540, 3047, 513, 2603, 269, 30803, 7725, 616, 1360, 1454, 899, 938, 3047, 569, 7725, 269, 4746, 267, 9855, 779, 6886, 616, 1360, 1454, 519, 1482, 607, 519, 6886, 593, 938, 4541, 269, 1717, 267, 16264, 6886, 15983, 723, 741, 3604, 689, 23600, 563, 2467, 568, 1100, 5790, 593, 519, 9855, 2901, 267, 865, 713, 18477, 1560, 3085, 1406, 1397, 1022, 10250, 540, 1272, 269, 5047, 267, 972, 568, 1100, 1216, 538, 922, 7725, 269, 1809, 1018, 519, 968, 13702, 344, 2427, 892, 540, 519, 9855, 6645, 721, 568, 602, 519, 16264, 2627, 568, 3504, 2443, 782, 519, 9634, 649, 1294, 593, 938, 9682, 7252, 616, 267, 1034, 2693, 267, 5222, 689, 2025, 14368, 2572, 563, 1432, 1826, 540, 4224, 568, 519, 9855, 1500, 540, 888, 5445, 616, 6140, 8407, 543, 7725, 269, 1306, 547, 1018, 2694, 540, 519, 9855, 649, 917, 827, 267, 922, 7293, 5888, 568, 1360, 2147, 547, 930, 2694, 540, 19026, 267, 9370, 267, 543, 22358, 563, 2791, 666, 917, 689, 2107, 321, 1388, 4653, 543, 824, 6325, 2959, 602, 9855, 779, 2627, 568, 4988, 538, 519, 1036, 14663, 269, 3204, 14663, 568, 513, 24120, 1500, 540, 5386, 4224, 5536, 602, 4268, 1063, 476, 1015, 543, 476, 4792, 3952, 610, 476, 274, 543, 476, 736, 544, 538, 3178, 269, 1924, 267, 29484, 28226, 779, 4583, 11640, 593, 519, 16264, 2627, 568, 538, 519, 1036, 14663, 563, 2005, 666, 581, 16609, 547, 4612, 782, 713, 1239, 267, 607, 519, 16264, 2627, 4523, 547, 581, 513, 12432, 11769, 3294, 269, 1656, 16264, 2175, 616, 711, 899, 2175, 593, 3047, 1317, 938, 9682, 3085, 1406, 723, 513, 11275, 14459, 563, 763, 11275, 14459, 11151, 3859, 2842, 689, 7263, 1746, 25756, 610, 824, 18219, 2609, 593, 519, 2627, 540, 513, 18477, 1560, 269, 1656, 1247, 1970, 16264, 8904, 2636, 811, 11275, 14459, 547, 26632, 622, 883, 9018, 2230, 267, 972, 779, 811, 540, 621, 21945, 607, 1134, 269, 898, 779, 849, 1271, 547, 4063, 602, 3875, 1558, 324, 832, 1764, 519, 16264, 2627, 593, 2458, 4575, 609, 621, 267, 1932, 563, 1432, 827, 519, 16264, 5790, 888, 3383, 519, 9855, 814, 513, 4295, 543, 513, 25136, 267, 1247, 922, 2627, 568, 4988, 538, 519, 1036, 14663, 267, 1577, 779, 1265, 856, 811, 827, 922, 5790, 269, 1411, 4440, 917, 602, 1281, 711, 2291, 267, 855, 1281, 621, 1611, 519, 16264, 2627, 814, 1100, 2011, 693, 782, 286, 4270, 267, 16264, 968, 1515, 892, 5161, 540, 5393, 4686, 30829, 16115, 540, 9362, 971, 607, 26775, 267, 25756, 267, 19440, 267, 543, 2415, 517, 563, 4322, 9362, 723, 1100, 1198, 593, 519, 9855, 3294, 543, 616, 711, 693, 782, 607, 10053, 607, 9362, 538, 938, 4541, 779, 5790, 269, 1656, 865, 267, 1272, 593, 519, 9855, 666, 1406, 581, 4376, 899, 1272, 593, 938, 4541, 269, 14755, 267, 519, 16264, 5790, 568, 9244, 1644, 547, 875, 9362, 13789, 593, 922, 2627, 269, 1656, 875, 4010, 798, 891, 9362, 13789, 593, 922, 2627, 888, 7712, 519, 16264, 2627, 3112, 11677, 1022, 3154, 267, 621, 3274, 13733, 9362, 883, 2230, 269, 901, 568, 849, 1946, 938, 2067, 9682, 3085, 1406, 11677, 1022, 540, 519, 6129, 779, 3002, 543, 814, 2837, 15088, 563, 2691, 796, 26569, 267, 519, 16264, 2627, 666, 3914, 476, 5611, 5232, 17622, 267, 6466, 267, 593, 922, 13566, 2427, 267, 621, 666, 3914, 476, 16328, 5232, 17622, 269, 1924, 267, 649, 9327, 1406, 16681, 513, 3802, 593, 519, 16264, 2627, 1510, 1697, 3937, 20471, 4166, 563, 4913, 267, 8103, 1869, 4566, 513, 9855, 2132, 269, 1284, 2907, 723, 519, 3203, 28087, 5692, 689, 8331, 538, 1646, 267, 543, 649, 1058, 2503, 547, 3935, 1125, 713, 9682, 19692, 2864, 982, 2663, 267, 2523, 1631, 602, 649, 917, 811, 827, 519, 16264, 2627, 543, 1018, 779, 3330, 540, 513, 9855, 269, 0, 2026, 513, 15690, 2575, 27423, 267, 621, 568, 7543, 547, 26777, 519, 1713, 7418, 1500, 676, 30683, 16026, 267, 835, 540, 519, 1034, 5499, 543, 9565, 15690, 12372, 540, 519, 476, 736, 628, 2540, 269, 30683, 16026, 267, 4535, 593, 2904, 476, 2918, 267, 476, 4572, 277, 267, 538, 1325, 2023, 267, 13325, 267, 729, 513, 25041, 2678, 267, 6512, 548, 14575, 267, 543, 21917, 945, 2451, 606, 30170, 1665, 593, 519, 1158, 540, 15690, 563, 9961, 1010, 4876, 267, 30683, 16026, 729, 693, 519, 21282, 540, 15690, 5647, 267, 11319, 519, 6302, 540, 519, 9135, 543, 4101, 519, 4567, 28943, 269, 1261, 729, 513, 22082, 540, 1110, 531, 15690, 267, 513, 2511, 6353, 676, 922, 946, 540, 7574, 12331, 3079, 540, 16147, 3356, 687, 267, 799, 5795, 12372, 811, 5191, 547, 27906, 1047, 543, 2263, 1007, 512, 4689, 885, 269, 3571, 19506, 17581, 267, 834, 30747, 540, 9791, 2437, 5950, 538, 476, 4198, 280, 267, 568, 4922, 9833, 607, 835, 540, 519, 6574, 15690, 11549, 4548, 540, 782, 942, 543, 568, 1869, 6594, 543, 900, 4327, 676, 12372, 2221, 563, 1103, 1840, 547, 1010, 7418, 547, 519, 1646, 540, 15690, 267, 30683, 16026, 729, 849, 1634, 585, 1010, 21769, 609, 930, 540, 519, 1034, 16805, 12372, 540, 1010, 942, 269, 1261, 5249, 609, 17691, 971, 607, 3627, 2051, 339, 8735, 267, 4173, 29560, 670, 4545, 1442, 267, 31722, 1744, 7163, 267, 543, 25414, 13879, 267, 547, 2012, 1175, 513, 1906, 267, 543, 1010, 3310, 666, 1869, 581, 4862, 538, 519, 2575, 540, 4207, 15690, 5159, 563, 300, 3796, 16026, 262, 1764, 593, 519, 1158, 540, 15690, 3112, 581, 936, 26061, 267, 543, 1010, 9371, 5170, 547, 8300, 543, 3310, 12372, 2221, 269, 3571, 5499, 1935, 547, 2575, 543, 1010, 18515, 547, 1491, 4220, 543, 4603, 609, 1007, 4992, 543, 6163, 723, 2451, 606, 30170, 1665, 593, 15690, 267, 543, 1010, 7418, 547, 519, 9135, 786, 3136, 547, 581, 9976, 543, 6594, 585, 5481, 547, 2097, 563, 13126, 281, 834, 300, 3796, 16026, 1701, 22335, 2593, 267, 589, 261, 292, 27657, 17978, 267, 476, 1626, 4873, 476, 1001, 277, 267, 4179, 2517, 4178, 269, 6798, 2762, 2593, 8276, 639, 6509, 8276, 3796, 1673, 32713, 269, 0, 19370, 20409, 12542, 281, 898, 781, 2353, 6168, 519, 11020, 454, 9336, 1126, 543, 2937, 786, 7237, 835, 7411, 610, 1776, 1644, 547, 6104, 5109, 4247, 267, 7829, 17140, 267, 10188, 1514, 5872, 267, 610, 19048, 630, 1729, 2012, 513, 1906, 1040, 1452, 2835, 1683, 1382, 2861, 3435, 10483, 676, 4052, 267, 2653, 3562, 21553, 921, 618, 2238, 543, 6114, 547, 5512, 1483, 543, 4264, 2242, 538, 8456, 543, 5615, 563, 263, 763, 6700, 2238, 267, 950, 4121, 543, 13736, 9846, 267, 786, 1267, 538, 968, 516, 2914, 3931, 892, 519, 2634, 998, 519, 3157, 1634, 607, 5778, 27415, 640, 267, 994, 263, 8923, 4063, 952, 519, 2042, 540, 6161, 616, 3978, 267, 1279, 29280, 267, 610, 798, 711, 4431, 547, 519, 7459, 3177, 267, 596, 1058, 1865, 873, 609, 707, 1126, 779, 3119, 1416, 10629, 8094, 288, 14262, 1007, 1620, 540, 1453, 781, 2623, 3091, 5813, 543, 2994, 547, 1489, 3237, 543, 1453, 269, 3683, 1200, 5756, 607, 513, 4791, 18673, 267, 3220, 269, 3933, 320, 5548, 1695, 5622, 651, 814, 5280, 9118, 1253, 571, 9853, 3237, 945, 6560, 547, 4383, 741, 1453, 781, 4101, 5615, 269, 1452, 3885, 616, 1174, 2406, 5059, 593, 31925, 610, 5355, 513, 1126, 781, 3668, 540, 10220, 267, 3929, 856, 10767, 7370, 267, 21915, 337, 4548, 267, 543, 824, 1412, 719, 6361, 20820, 2623, 269, 1809, 2623, 267, 1100, 2339, 875, 4101, 267, 568, 711, 519, 1966, 855, 513, 10835, 267, 513, 23319, 827, 1018, 4523, 538, 513, 1126, 781, 2189, 12214, 17539, 563, 1103, 11020, 5174, 1328, 9977, 532, 267, 3220, 269, 5548, 1695, 5622, 651, 3091, 513, 9097, 1007, 1935, 547, 15970, 1759, 593, 513, 1184, 602, 15109, 519, 3003, 8401, 1062, 781, 1898, 1909, 538, 6721, 1453, 781, 4606, 543, 5615, 563, 2691, 649, 2253, 547, 1174, 519, 7350, 9944, 519, 2623, 267, 5267, 3220, 269, 5548, 1695, 5622, 651, 267, 649, 2285, 938, 1453, 519, 2200, 789, 991, 547, 1332, 543, 8853, 269, 1284, 2285, 6000, 519, 10516, 540, 513, 18668, 267, 811, 4448, 2078, 609, 873, 269, 11020, 5174, 1328, 9977, 532, 16877, 3237, 609, 2645, 547, 948, 741, 1453, 1020, 1582, 30625, 1983, 1247, 8716, 15366, 1582, 13282, 269, 634, 1267, 568, 513, 4514, 1620, 540, 707, 1126, 267, 8716, 1608 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2052, 513, 30866, 723, 476, 275, 1318, 7285, 2496, 6944, 757, 692, 13295, 519, 1318, 30866, 568, 513, 23756, 29105, 543, 814, 1079, 6587, 1318, 7285, 269, 2560, 769, 513, 8126, 1113, 29105, 630, 821, 609, 606, 1651, 22511, 1070, 519, 2185, 1899, 12415, 1063, 519, 4099, 540, 519, 1651, 22511, 543, 519, 2798, 1141, 621, 568, 17242, 547, 519, 29105, 15652, 519, 29105, 883, 2185, 1318, 737, 2572, 780, 1012, 6496, 513, 30866, 2141, 723, 476, 275, 1318, 7285, 2496, 1103, 28070, 9511, 267, 513, 30866, 568, 513, 29105, 4171, 2185, 5011, 666, 581, 19882, 883, 1079, 8424, 540, 3160, 27480, 5011, 602, 616, 11105, 547, 1142, 824, 780, 291, 783, 3601, 780, 3674, 30801, 25671, 1355, 918, 924, 454, 3080, 6292, 540, 3160, 6587, 5011, 2290, 6292, 540, 3160, 6587, 7285, 692, 1012, 1548, 2141, 814, 476, 275, 1318, 7285, 2496, 288, 4009, 568, 835, 540, 519, 1034, 2596, 12166, 5546, 269, 898, 568, 513, 2027, 2013, 540, 513, 25521, 602, 814, 2185, 21412, 5011, 543, 2185, 1318, 7285, 269, 589, 4009, 568, 849, 513, 13551, 1317, 621, 814, 1079, 5036, 540, 6252, 5011, 543, 2185, 1318, 7285, 269, 589, 4009, 568, 849, 513, 25521, 1317, 922, 6587, 5011, 616, 6252, 780, 1012, 6496, 513, 30866, 723, 476, 275, 15174, 2496, 288, 29105, 267, 849, 1572, 513, 30866, 267, 568, 513, 20372, 602, 814, 2185, 5011, 269, 769, 1931, 547, 1106, 2185, 15174, 540, 513, 30866, 267, 2185, 2798, 593, 519, 7077, 1590, 581, 968, 785, 8817, 892, 780, 1012, 6496, 513, 30866, 723, 513, 1318, 5086, 8786, 610, 1100, 2496, 5591, 267, 621, 568, 711, 3622, 865, 269, 589, 13551, 610, 513, 4009, 568, 711, 513, 30866, 1498, 519, 6587, 7285, 616, 476, 3445, 5232, 269, 589, 30866, 814, 519, 1739, 3601, 281, 8307, 835, 6292, 540, 6587, 7285, 1590, 581, 3160, 780, 1012, 1215, 1082, 7285, 1281, 30866, 723, 2496, 5591, 267, 513, 30866, 814, 1152, 835, 6292, 540, 3160, 7285, 269, 634, 1448, 693, 799, 519, 1079, 8424, 540, 21376, 5011, 2743, 2306, 1079, 7285, 602, 616, 6587, 547, 1142, 824, 269, 1452, 1079, 6587, 7285, 616, 3160, 538, 513, 30866, 780, 1012, 1548, 616, 519, 476, 275, 3601, 540, 513, 30866, 2496, 298, 924, 3601, 1331, 630, 272, 264, 1079, 8424, 540, 15654, 267, 21412, 5011, 267, 630, 273, 264, 21412, 1875, 268, 591, 23753, 7285, 543, 630, 274, 264, 13902, 32377, 269, 4033, 1271, 20372, 3601, 547, 581, 5432, 609, 1331, 25671, 1355, 3601, 267, 25521, 3601, 267, 32077, 639, 3601, 267, 543, 13551, 543, 4009, 3601, 780, 1012, 1684, 782, 9076, 559, 831, 1023, 723, 476, 275, 1318, 7285, 2496, 1103, 9511, 267, 513, 29105, 568, 513, 20372, 609, 2185, 5011, 610, 8728, 269, 1703, 616, 1896, 29977, 602, 2671, 519, 4162, 540, 513, 29105, 269, 1717, 267, 1247, 693, 2547, 3670, 5546, 666, 581, 2808, 9076, 559, 831, 1023, 267, 1152, 1079, 723, 2185, 1318, 7285, 2443, 25965, 543, 10945, 780, 1012, 2052, 513, 25671, 1355, 723, 476, 275, 1318, 7285, 2496, 288, 25671, 1355, 666, 723, 2901, 476, 273, 1318, 7285, 267, 610, 1100, 1318, 7285, 693, 782, 780, 1012, 2052, 9076, 559, 831, 1023, 723, 476, 275, 1073, 339, 2224, 7285, 2496, 288, 29105, 3112, 723, 2185, 1073, 339, 2224, 7285, 269, 2560, 4595, 606, 1073, 339, 2224, 5086, 3800, 3152, 982, 476, 3445, 5232, 267, 952, 972, 941, 2185, 540, 873, 538, 835, 29105, 267, 519, 2040, 540, 519, 3800, 540, 519, 7285, 1131, 581, 3152, 982, 476, 11740, 5232, 269, 901, 568, 711, 2009, 780, 1012, 1772, 513, 30866, 513, 4009, 8786, 610, 1100, 2496, 15008, 281, 589, 30866, 568, 513, 29105, 630, 27917, 521, 3660, 3337, 264, 1141, 519, 2185, 5011, 666, 581, 19882, 883, 1079, 8424, 540, 11105, 630, 10113, 547, 270, 8588, 264, 5011, 602, 616, 3160, 3259, 269, 2560, 1403, 782, 5011, 616, 3160, 267, 543, 782, 7285, 540, 519, 29105, 616, 3160, 267, 1287, 649, 723, 513, 4009, 780, 2562, 9898, 2464, 16249, 281, 1109, 16797, 8382, 281, 2052, 596, 6607, 323, 633, 609, 513, 2915, 2496, 1012, 1215, 1082, 6252, 5011, 1281, 513, 30866, 723, 2496, 298, 2572, 723, 1100, 6252, 5011, 267, 855, 789, 798, 723, 21412, 5011, 269, 918, 2572, 616, 3989, 676, 1079, 8424, 540, 21412, 5011, 602, 616, 11105, 547, 1142, 824, 267, 3079, 540, 6587, 1142, 824, 780, 1012, 2052, 513, 30866, 723, 4010, 1079, 1318, 7285, 4208, 2496, 288, 30866, 814, 1079, 15654, 5011, 21412, 269, 634, 5086, 1063, 891, 1079, 5011, 1223, 581, 513, 1318, 5086, 267, 855, 972, 1131, 1152, 581, 835, 1318, 5086, 538, 519, 30866, 780, 1012, 1215, 1082, 14622, 1281, 513, 30866, 723, 2496, 288, 30866, 814, 1079, 13902, 9703, 32377, 269, 2290, 15497, 568, 7466, 519, 3259, 540, 519, 824, 15497, 269, 634, 2698, 1858, 540, 519, 30866, 568, 1547, 0, 258, 17832, 2243, 692, 2971, 3765, 690, 2106, 2065, 325, 655, 21442, 692, 338, 9876, 585, 692, 6523, 476, 274, 343, 284, 7562, 476, 273, 343, 692, 6748, 14911, 7285, 543, 782, 1775, 3893, 13672, 284, 273, 343, 780, 763, 3364, 568, 267, 952, 1775, 3893, 13672, 476, 273, 343, 689, 5609, 11201, 267, 519, 2489, 4542, 1131, 581, 692, 11377, 9064, 284, 562, 1422, 7032, 1341, 11196, 272, 8203, 333, 1422, 10401, 9681, 328, 1205, 1945, 899, 10484, 810, 267, 2807, 1492, 1966, 568, 602, 1775, 786, 723, 1535, 538, 519, 2489, 1106, 783, 320, 267, 1945, 1775, 1810, 1405, 1616, 780, 296, 1589, 1250, 1259, 540, 3257, 621, 568, 11207, 4636, 267, 666, 4896, 948, 286, 285, 692, 321, 13512, 267, 1775, 917, 602, 1775, 666, 946, 17784, 543, 5595, 5086, 4542, 267, 855, 1775, 4312, 849, 1044, 6026, 602, 538, 951, 532, 521, 1149, 1312, 5011, 1131, 849, 960, 267, 855, 1775, 4312, 16618, 875, 547, 798, 621, 269, 8729, 780, 8310, 12995, 912, 16665, 13823, 2563, 8212, 14581, 5240, 593, 4284, 3820, 692, 2971, 32609, 614, 857, 984, 344, 692, 29094, 4477, 704, 454, 296, 9364, 2328, 692, 11377, 6523, 476, 274, 343, 7807, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 264, 9681, 663, 1287, 692, 11377, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 9984, 315, 7562, 476, 273, 343, 815, 271, 9681, 663, 1287, 1775, 9364, 946, 513, 4645, 269, 1211, 640, 543, 1439, 909, 609, 476, 273, 2241, 552, 336, 985, 780, 25405, 1408, 780, 2971, 5923, 1042, 345, 692, 11039, 267, 607, 596, 521, 746, 917, 10484, 2330, 7562, 315, 10401, 284, 6523, 7268, 2765, 3189, 7032, 2410, 273, 32757, 10401, 264, 9681, 2330, 7562, 263, 273, 315, 10401, 6661, 7562, 7268, 2765, 3189, 7032, 2410, 273, 18511, 274, 315, 10401, 264, 9681, 2521, 621, 713, 1259, 13718, 2971, 5923, 1042, 345, 692, 2005, 4667, 649, 723, 11540, 693, 519, 1482, 942, 2433, 2020, 1415, 3118, 594, 9327, 1405, 1205, 1919, 883, 692, 11377, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 9984, 315, 7562, 476, 273, 343, 815, 271, 9681, 5804, 1018, 594, 723, 2854, 972, 616, 1152, 1079, 7399, 269, 23657, 692, 2330, 273, 315, 10401, 7807, 2765, 3189, 7032, 2410, 273, 15732, 528, 692, 2330, 273, 315, 10401, 7807, 7032, 268, 7268, 2765, 3189, 7032, 2410, 273, 18511, 274, 315, 10401, 14638, 780, 28646, 596, 5921, 1175, 519, 1482, 855, 594, 4769, 1405, 1589, 789, 1223, 581, 519, 1482, 13718, 2971, 521, 1342, 9618, 628, 692, 29094, 4477, 704, 454, 20112, 16588, 454, 11377, 7562, 476, 273, 343, 815, 1422, 6523, 476, 274, 343, 9681, 2330, 27784, 1422, 6523, 22570, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 264, 815, 1422, 6523, 476, 274, 343, 9681, 2330, 27784, 1422, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 815, 476, 273, 333, 1422, 7032, 1341, 476, 274, 343, 910, 296, 9681, 528, 692, 11377, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 815, 476, 273, 333, 1422, 7032, 910, 476, 274, 343, 910, 4083, 9681, 5804, 713, 596, 666, 4194, 585, 519, 6240, 1871, 540, 1535, 676, 8380, 562, 607, 476, 271, 538, 594, 780, 300, 692, 2971, 1319, 3559, 867, 692, 30750, 5609, 20572, 316, 11224, 5430, 314, 3445, 14870, 3910, 810, 538, 713, 2013, 5609, 314, 273, 343, 316, 11224, 5430, 314, 3445, 268, 273, 343, 4940, 810, 1226, 622, 5430, 314, 274, 343, 316, 547, 5430, 314, 3445, 268, 273, 343, 4940, 9767, 1058, 1205, 476, 1240, 1775, 7058, 692, 2162, 8212, 1280, 4548, 18880, 692, 2171, 10025, 10866, 454, 1892, 11762, 1759, 593, 13416, 2257, 454, 1892, 7743, 2296, 8239, 543, 10259, 454, 2171, 10025, 595, 643, 1006, 454, 1892, 15474, 543, 17519, 8456, 454, 1892, 4793, 1466, 1247, 3181, 908, 454, 2171, 10025, 8605, 2032, 454, 1892, 2598, 4184, 1441, 547, 2611, 593, 2389, 8084, 454, 1892, 23779, 540, 1378, 12755, 454, 1892, 3752, 334, 543, 1071, 19945, 1966, 6061, 0, 258, 11822, 7502, 1707, 24544, 692, 763, 6895, 781, 11282, 2230, 780, 296, 4076, 2938, 1082, 1004, 588, 22824, 936, 16580, 7020, 585, 3756, 269, 898, 779, 513, 3787, 7294, 547, 2491, 267, 865, 594, 23125, 594, 8910, 1118, 835, 2376, 594, 1223, 3095, 547, 780, 5575, 267, 1174, 707, 11282, 2230, 269, 630, 271, 267, 476, 271, 264, 568, 519, 1283, 268, 3847, 540, 519, 6895, 269, 1677, 519, 1318, 267, 2473, 4679, 269, 24613, 1524, 267, 962, 4679, 269, 630, 271, 267, 476, 272, 264, 568, 1524, 689, 630, 271, 267, 476, 271, 1040, 630, 272, 267, 476, 271, 264, 568, 1318, 540, 630, 271, 267, 476, 271, 1040, 898, 779, 1271, 547, 3314, 713, 1317, 596, 2461, 2469, 547, 723, 547, 798, 476, 273, 291, 9511, 538, 713, 11282, 2230, 780, 1432, 1281, 621, 1611, 585, 1079, 3615, 547, 2458, 728, 286, 634, 14724, 1106, 540, 16580, 7020, 13000, 782, 3615, 607, 25965, 543, 16976, 602, 1079, 3615, 2458, 728, 952, 741, 25965, 5905, 610, 16937, 780, 2414, 3313, 952, 1079, 25965, 2458, 728, 267, 596, 723, 547, 723, 513, 1259, 547, 2099, 873, 269, 1703, 779, 1082, 2081, 547, 1413, 693, 513, 13551, 267, 543, 1547, 25892, 3947, 596, 3601, 547, 1489, 782, 540, 873, 1384, 1892, 589, 1448, 602, 4564, 519, 1283, 268, 3847, 7944, 267, 513, 8700, 267, 543, 513, 4463, 563, 1892, 589, 1448, 602, 4564, 519, 1283, 268, 3847, 7944, 543, 513, 1448, 602, 4564, 519, 5377, 28878, 7944, 563, 1892, 9050, 9981, 602, 2099, 519, 1535, 11282, 540, 519, 2451, 2427, 267, 519, 586, 11282, 540, 519, 1283, 2427, 267, 519, 1535, 11282, 540, 519, 1318, 2427, 267, 543, 519, 586, 11282, 540, 519, 5377, 2427, 269, 630, 1607, 568, 1634, 607, 700, 15045, 289, 585, 968, 3847, 267, 1283, 267, 1318, 267, 5377, 24355, 8253, 566, 1031, 547, 3277, 547, 1142, 13551, 780, 2691, 3257, 16580, 2979, 267, 594, 4043, 547, 960, 609, 519, 700, 15045, 289, 1106, 269, 1879, 5373, 25965, 267, 594, 4782, 519, 1079, 15304, 1106, 269, 1280, 519, 5301, 540, 4901, 267, 1413, 693, 519, 3239, 547, 1294, 519, 4408, 594, 3580, 946, 585, 1142, 13551, 538, 16580, 7020, 269, 13298, 982, 2119, 547, 535, 1497, 609, 2473, 272, 267, 2473, 273, 267, 2473, 274, 267, 2473, 275, 267, 594, 3580, 3277, 547, 519, 10974, 540, 519, 476, 273, 526, 13551, 607, 2473, 272, 12664, 630, 1348, 968, 1815, 802, 835, 6305, 14615, 547, 5815, 621, 779, 10974, 540, 513, 1114, 13551, 269, 594, 849, 23064, 875, 700, 15045, 289, 7851, 547, 713, 267, 543, 3769, 875, 596, 8910, 1205, 8700, 543, 4463, 269, 594, 786, 581, 14322, 602, 2473, 272, 3436, 2473, 273, 267, 962, 272, 3436, 962, 273, 267, 543, 865, 8521, 282, 952, 596, 1810, 1406, 3180, 1346, 3652, 713, 2979, 4991, 1454, 811, 16602, 269, 594, 786, 1931, 782, 540, 1250, 1806, 547, 946, 2999, 585, 519, 6476, 1317, 1919, 1131, 581, 811, 14845, 6382, 269, 3733, 1806, 2154, 16937, 585, 513, 16580, 282, 952, 596, 1616, 547, 723, 15700, 3615, 2458, 728, 5372, 1250, 2999, 609, 10922, 780, 9928, 523, 926, 657, 585, 8880, 16580, 780, 3086, 649, 723, 547, 2911, 827, 782, 519, 2009, 2081, 25965, 1223, 2458, 728, 609, 1142, 824, 269, 2913, 779, 2911, 8880, 7653, 1101, 269, 634, 2592, 327, 3298, 519, 2185, 7653, 282, 594, 5916, 873, 883, 1079, 2592, 2094, 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, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1804, 20085, 5835, 1957, 1286, 834, 536, 834, 1804, 1957, 5835, 20085, 1286, 834, 15017, 288, 281, 513, 0, 9223, 281, 1977, 11910, 534, 18237, 1188, 2284, 781, 3134, 7716, 3585, 3957, 1062, 2968, 513, 1655, 5498, 29818, 630, 2735, 271, 338, 268, 1220, 271, 338, 264, 1433, 23218, 8721, 29929, 538, 1018, 9135, 888, 12585, 281, 8516, 0, 9223, 281, 5272, 942, 606, 9550, 20061, 1472, 267, 1004, 1616, 547, 917, 1018, 1142, 11134, 781, 18879, 568, 593, 519, 2152, 602, 616, 1271, 547, 873, 269, 769, 14045, 799, 11134, 296, 342, 656, 547, 8917, 585, 267, 972, 616, 1079, 1292, 2152, 585, 803, 281, 1492, 4346, 543, 2069, 269, 476, 1452, 2152, 616, 1271, 547, 803, 1317, 789, 1860, 803, 519, 1034, 1318, 1631, 269, 634, 4346, 5540, 3025, 25467, 2069, 568, 1271, 1317, 594, 993, 827, 547, 4283, 2852, 269, 1879, 594, 6743, 693, 875, 1142, 11134, 5784, 891, 2152, 267, 835, 812, 11542, 856, 547, 803, 25467, 602, 568, 14891, 11134, 4446, 871, 15525, 269, 476, 594, 899, 513, 1556, 540, 27737, 15525, 781, 2093, 585, 5355, 519, 4346, 269, 1261, 6499, 547, 3142, 519, 10136, 1753, 689, 12925, 267, 11004, 2421, 9494, 519, 1269, 1321, 5479, 649, 6108, 972, 1169, 3923, 269, 6271, 1448, 602, 15525, 2306, 568, 602, 519, 2136, 2276, 262, 1699, 1648, 3609, 568, 9292, 1154, 519, 4346, 269, 1261, 11099, 602, 952, 1007, 1648, 12014, 616, 5293, 267, 621, 786, 948, 519, 772, 269, 590, 269, 1205, 856, 540, 922, 1699, 2804, 1793, 2794, 25467, 594, 3858, 269, 2060, 891, 2093, 543, 2994, 267, 594, 9244, 3494, 602, 15525, 666, 2087, 519, 1699, 1533, 540, 519, 4346, 269, 476, 15525, 849, 814, 513, 1544, 547, 2087, 2069, 269, 1261, 11099, 602, 649, 991, 547, 1376, 18997, 1453, 693, 513, 1762, 2085, 269, 1261, 849, 13922, 547, 2673, 519, 7934, 540, 9740, 1063, 1053, 267, 799, 1797, 5355, 3506, 602, 991, 948, 269, 1261, 6499, 547, 2628, 3610, 811, 543, 1521, 873, 899, 4648, 267, 8117, 538, 5385, 646, 7125, 585, 2362, 5539, 269, 476, 15525, 849, 814, 513, 1544, 547, 1118, 2852, 811, 10097, 269, 1261, 6499, 1857, 12621, 547, 581, 1863, 585, 1053, 945, 2226, 513, 834, 289, 257, 3328, 1282, 1164, 1153, 269, 1656, 646, 4566, 547, 2285, 513, 1269, 275, 267, 1822, 3454, 5491, 585, 2852, 543, 6280, 1053, 945, 2347, 476, 1911, 3108, 540, 2146, 3028, 1142, 1032, 269, 594, 3494, 891, 2093, 547, 2087, 2069, 616, 1434, 2614, 543, 786, 948, 1082, 1053, 269, 476, 4475, 267, 972, 568, 1100, 3476, 1022, 8969, 538, 1250, 2247, 945, 786, 581, 8391, 1250, 8917, 281, 4446, 871, 15525, 269, 1548, 781, 519, 1292, 2856, 540, 519, 8574, 888, 288, 269, 1977, 4346, 1058, 1020, 3533, 454, 289, 269, 15525, 781, 1007, 1272, 607, 7022, 454, 290, 269, 1215, 547, 3094, 606, 9550, 454, 291, 269, 4208, 594, 8917, 585, 15525, 454, 12585, 281, 667, 0, 9223, 281, 1452, 2395, 267, 594, 6415, 14281, 693, 1018, 1250, 15032, 723, 4957, 2094, 1153, 3323, 269, 898, 781, 711, 1175, 519, 1007, 3610, 267, 1007, 5656, 267, 610, 1007, 3652, 269, 594, 849, 5469, 875, 1004, 616, 19703, 8335, 269, 667, 7675, 568, 711, 1175, 513, 3903, 547, 1832, 3636, 269, 898, 781, 849, 513, 2635, 2123, 3903, 538, 865, 1082, 2081, 269, 667, 816, 3652, 281, 3509, 3506, 723, 10571, 3652, 269, 1358, 2995, 1053, 1018, 547, 5957, 693, 1153, 269, 634, 3610, 1810, 1405, 4126, 547, 1294, 741, 1053, 5957, 5667, 340, 3386, 9660, 538, 519, 4928, 269, 476, 9041, 2433, 634, 1259, 649, 10571, 2982, 519, 1259, 649, 1745, 827, 6000, 269, 1403, 649, 5749, 1405, 8746, 610, 991, 6266, 540, 3007, 267, 649, 3513, 1419, 10571, 538, 2081, 602, 948, 721, 1205, 602, 3007, 269, 1403, 596, 1616, 547, 1205, 3007, 538, 513, 2635, 1259, 267, 596, 1810, 1405, 991, 547, 10571, 538, 606, 4277, 1259, 547, 2769, 707, 2247, 269, 10610, 3239, 2433, 1403, 930, 3214, 1413, 1360, 3983, 610, 30299, 267, 19703, 5265, 476, 666, 3382, 873, 269, 1656, 621, 666, 849, 948, 873, 1745, 4190, 543, 6899, 1851, 741, 2828, 269, 9861, 1018, 596, 5957, 281, 667, 7675, 568, 1271, 269, 667, 7675, 538, 513, 4636, 1259, 666, 1118, 1004, 12161, 596, 269, 4658, 899, 547, 9794, 2687, 547, 1018, 789, 1294, 269, 1849, 5847, 666, 1419, 2285, 1004, 513, 4636, 2856, 269, 634, 5856, 5267, 602, 1053, 1058, 5957, 9660, 538, 519, 1318, 1259, 476, 9041, 476, 4586, 288, 269, 547, 948, 873, 1745, 6899, 454, 289, 269, 547, 1831, 4583, 454, 290, 269, 547, 3382, 741, 3983, 6208, 454, 291, 269, 547, 2057, 476, 1373, 19451, 454, 12585, 281, 667, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21487, 1434, 6117, 17180, 834, 536, 834, 1434, 21487, 6117, 17180, 834, 15017, 288, 281, 536, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5545, 3339, 20695, 4017, 1120, 20199, 21083, 6474, 834, 536, 834, 3339, 20695, 21083, 5545, 4017, 1120, 20199, 6474, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 299, 1075, 344, 4941, 547, 723, 606, 9205, 5428, 713, 1032, 855, 1352, 13603, 519, 1187, 4099, 936, 519, 1216, 6288, 1317, 1352, 7948, 1405, 1205, 16741, 693, 519, 1216, 6288, 1547, 0, 9824, 725, 4721, 281, 1215, 547, 13622, 909, 609, 513, 8004, 693, 513, 3046, 269, 6657, 1434, 9882, 543, 25462, 269, 10558, 707, 1034, 10694, 1582, 676, 8026, 1434, 9882, 543, 25462, 269, 6875, 513, 3905, 17643, 267, 2511, 707, 4552, 267, 16013, 707, 581, 731, 610, 695, 1511, 630, 604, 2556, 1070, 543, 2322, 593, 524, 860, 928, 269, 8347, 711, 547, 12235, 593, 1932, 1454, 524, 860, 928, 267, 607, 519, 11566, 9329, 949, 2490, 1055, 1761, 7389, 693, 519, 3046, 907, 7994, 513, 3046, 602, 786, 723, 513, 2362, 10171, 540, 2582, 2021, 269, 0, 11764, 334, 281, 898, 2982, 513, 4605, 540, 22256, 24636, 544, 19376, 1932, 269, 1703, 781, 513, 8470, 540, 1004, 9361, 538, 513, 18638, 6158, 827, 519, 2680, 269, 1358, 616, 2542, 513, 7097, 543, 28617, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 9764, 15337, 1014, 15454, 1286, 834, 536, 834, 9764, 15454, 15337, 1014, 1286, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 519, 2462, 23825, 2754, 269, 834, 4517, 594, 1589, 824, 12820, 2671, 602, 2070, 4799, 763, 25954, 3350, 568, 1869, 538, 513, 1360, 2038, 3942, 269, 6004, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 723, 1152, 1175, 18084, 519, 1899, 689, 5859, 14767, 547, 2962, 269, 1358, 1705, 865, 2063, 3018, 1282, 519, 4832, 5870, 540, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 10324, 14643, 538, 9628, 269, 28818, 31489, 1633, 267, 1279, 606, 12167, 540, 519, 4567, 28943, 267, 18005, 19622, 607, 7022, 267, 7142, 856, 676, 519, 2604, 585, 1689, 269, 6004, 269, 5213, 1695, 826, 267, 1010, 23122, 2389, 516, 5501, 337, 267, 2968, 519, 954, 574, 7022, 267, 2394, 519, 5239, 16232, 9550, 267, 543, 3576, 2185, 3268, 4724, 1689, 563, 763, 1101, 3238, 519, 25696, 269, 1261, 8149, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 547, 5555, 6108, 1269, 736, 2929, 513, 1032, 593, 12180, 267, 909, 689, 1269, 274, 2929, 2221, 269, 2334, 568, 606, 3750, 2275, 10248, 6521, 538, 2200, 585, 606, 3919, 609, 513, 1269, 2568, 2929, 6578, 269, 1403, 621, 1568, 267, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 1131, 1831, 519, 6117, 3196, 538, 16461, 1746, 4600, 883, 18787, 267, 513, 4305, 1631, 2451, 547, 519, 1367, 18787, 269, 1809, 1018, 824, 1259, 568, 972, 547, 10891, 513, 2754, 899, 9546, 5336, 691, 267, 609, 5520, 3262, 2066, 8637, 538, 1169, 1533, 267, 610, 519, 24819, 2694, 15670, 602, 3761, 519, 2462, 10081, 9755, 563, 10454, 1883, 568, 519, 4336, 2437, 1767, 9400, 645, 839, 5424, 267, 10324, 8689, 540, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 5029, 1944, 4659, 269, 834, 763, 4305, 814, 20335, 3564, 1018, 1022, 1367, 9769, 666, 798, 4799, 19741, 12180, 267, 6004, 269, 5213, 1695, 826, 5833, 689, 519, 10324, 14643, 267, 585, 519, 1101, 942, 267, 519, 6392, 585, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 547, 1118, 1100, 29027, 12029, 2698, 532, 1269, 272, 2929, 547, 18787, 593, 10880, 543, 4881, 856, 540, 2724, 547, 2628, 741, 4174, 24329, 269, 1261, 849, 3261, 730, 2724, 547, 5721, 476, 4335, 2199, 9769, 1004, 547, 581, 2797, 15156, 4534, 9301, 267, 538, 1198, 267, 519, 10480, 3130, 781, 5821, 607, 513, 25211, 626, 538, 6115, 267, 1141, 621, 814, 1044, 8572, 547, 3094, 9086, 602, 1131, 10238, 527, 519, 946, 540, 10682, 4600, 538, 16716, 610, 1780, 12014, 602, 1131, 1118, 12180, 4443, 563, 763, 1445, 568, 1631, 547, 6521, 547, 519, 4872, 543, 2829, 269, 634, 4126, 568, 602, 2199, 9769, 2818, 267, 1631, 7361, 12809, 538, 9550, 11044, 267, 666, 581, 5828, 883, 18512, 989, 527, 2209, 585, 610, 1996, 2818, 540, 6837, 269, 1358, 1131, 1831, 267, 538, 6004, 269, 5213, 1695, 826, 781, 1913, 267, 834, 1492, 1034, 3532, 3723, 7980, 540, 519, 3003, 21146, 1184, 4799, 7661, 267, 6004, 269, 5213, 1695, 826, 1305, 909, 513, 12233, 267, 609, 5128, 543, 6004, 269, 590, 1048, 5674, 607, 1071, 7302, 1515, 5443, 267, 547, 2721, 909, 676, 2038, 2887, 513, 11556, 547, 2847, 2086, 519, 10480, 3130, 781, 12044, 10324, 14643, 269, 634, 2856, 568, 547, 1331, 811, 2021, 267, 607, 1134, 607, 3109, 543, 17104, 9769, 3401, 269, 6468, 543, 18441, 616, 2673, 547, 1196, 3101, 856, 3043, 9038, 607, 513, 5354, 540, 782, 9769, 2818, 269, 1809, 519, 14643, 568, 1869, 13856, 676, 3043, 5256, 9769, 27504, 563, 1103, 782, 713, 1166, 25744, 540, 2534, 267, 6004, 269, 5213, 1695, 826, 2501, 2066, 607, 519, 1651, 3518, 550, 267, 1869, 4857, 609, 519, 476, 1626, 4458, 31489, 1633, 5736, 267, 1282, 799, 9769, 15376, 4682, 883, 14869, 7771, 269, 634, 1202, 4026, 757, 11319, 23698, 585, 1689, 723, 1178, 10903, 730, 547, 6004, 269, 590, 1048, 5674, 267, 4171, 1175, 8242, 3760, 11368, 1034, 540, 519, 18747, 2322, 8521, 513, 1906, 2395, 2663, 676, 6004, 269, 5213, 1695, 826, 563, 6781, 913, 782, 267, 519, 590, 1048, 5674, 18793, 267, 538, 6158, 909, 741, 11134, 267, 1448, 547, 1010, 9740, 607, 7022, 540, 519, 6796, 31740, 4139, 5742, 2094, 476, 2735, 271, 269, 7216, 593, 267, 646, 28520, 2200, 883, 12180, 267, 543, 15376, 538, 1010, 9769, 8057, 267, 11369, 532, 519, 3084, 7678, 563, 22746, 7440, 1832, 6004, 269, 5213, 1695, 826, 5577, 4771, 269, 834, 10144, 2161, 602, 590, 1048, 5674, 814, 519, 9550, 19526, 909, 2437, 646, 1767, 267, 14344, 602, 6004, 269, 590, 1048, 5674, 814, 2614, 15518, 622, 16018, 26823, 3022, 547, 1864, 1631, 547, 3094, 519, 3440, 7627, 693, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 5239, 15007, 538, 1715, 3840, 269, 834, 3719, 1810, 1405, 23868, 519, 7872, 602, 1250, 2773, 607, 954, 574, 7022, 666, 1689, 513, 2603, 540, 8186, 4799, 28646, 269, 1809, 1100, 2339, 945, 17993, 267, 14291, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 883, 519, 17514, 1222, 540, 606, 10728, 9769, 3350, 4422, 3564, 12180, 267, 610, 2847, 2086, 532, 519, 10324, 14643, 269, 2368, 6011, 519, 10480, 3130, 1590, 22321, 4892, 602, 18787, 616, 606, 2626, 547, 741, 4145, 269, 1635, 5176, 1169, 9769, 6205, 781, 22672, 11238, 267, 602, 3340, 519, 4990, 540, 22265, 267, 1347, 29487, 5639, 602, 1500, 15656, 717, 558, 11825, 971, 513, 3084, 4137, 2038, 538, 519, 2540, 543, 19124, 1234, 9801, 538, 4571, 10601, 563, 1103, 13287, 540, 971, 513, 5639, 267, 6004, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 267, 543, 741, 4881, 2173, 919, 267, 723, 1044, 1835, 1170, 2275, 1484, 532, 519, 2197, 538, 2487, 4374, 267, 6340, 547, 4174, 24329, 593, 4584, 564, 3515, 267, 693, 678, 718, 625, 547, 13889, 782, 12204, 540, 2152, 543, 693, 23405, 1996, 2818, 540, 6837, 609, 4550, 2000, 1987, 13359, 5638, 563, 3719, 519, 3586, 1857, 23079, 723, 6537, 1360, 2370, 3084, 3007, 269, 5742, 12388, 619, 723, 20335, 811, 32398, 267, 3226, 519, 23318, 3735, 2063, 3923, 602, 6876, 1185, 1044, 6603, 547, 1711, 513, 9649, 9769, 676, 9256, 519, 16790, 20709, 267, 519, 13082, 32305, 543, 519, 7557, 514, 1235, 563, 16031, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 15597, 3870, 9769, 12388, 619, 607, 513, 1797, 540, 14304, 18787, 267, 5631, 676, 14874, 26134, 29904, 20874, 543, 1863, 532, 2724, 585, 12180, 269, 589, 18797, 12388, 619, 723, 1044, 9307, 610, 6192, 538, 519, 2250, 476, 1240, 3275, 607, 18787, 6443, 519, 7678, 602, 814, 3812, 865, 1082, 9746, 12388, 619, 269, 1809, 9444, 519, 9769, 5718, 6862, 9746, 3013, 2070, 519, 9769, 12388, 619, 607, 6190, 676, 2933, 547, 4161, 519, 30566, 344, 602, 2359, 1631, 5751, 936, 4074, 563, 257, 290, 2734, 622, 3013, 814, 1831, 6899, 7231, 609, 519, 18787, 602, 2099, 922, 4600, 2437, 1767, 5261, 21667, 267, 23122, 2389, 516, 5501, 337, 540, 519, 1977, 18966, 540, 3557, 267, 6019, 543, 27391, 531, 31740, 269, 834, 3719, 621, 814, 711, 1185, 547, 3068, 513, 4161, 689, 513, 3084, 9769, 3350, 547, 9746, 32022, 936, 1857, 6644, 4799, 289, 5802, 4751, 4750, 626, 11977, 623, 269, 21546, 667, 625, 454, 763, 6115, 5403, 267, 5130, 476, 3066, 267, 476, 1960, 274, 454, 10955, 1189, 623, 269, 21546, 267, 476, 11025, 267, 519, 25982, 13739, 19784, 543, 5856, 945, 4080, 585, 13235, 267, 595, 7034, 543, 519, 2062, 14725, 1676, 540, 519, 5398, 16340, 26511, 6796, 267, 5747, 540, 2860, 3967, 269, 476, 2767, 693, 1010, 1753, 538, 32511, 6756, 563, 14367, 10543, 5925, 1982, 540, 3377, 543, 16555, 267, 834, 10955, 1189, 623, 269, 21546, 543, 519, 5240, 2437, 729, 23032, 676, 519, 589, 14566, 4211, 22473, 543, 13739, 676, 13235, 585, 811, 982, 476, 1321, 1296, 269, 769, 621, 267, 6004, 269, 21546, 4080, 543, 5941, 513, 2039, 540, 2152, 267, 1519, 519, 28919, 540, 519, 31076, 2872, 543, 13313, 538, 930, 18787, 267, 543, 519, 1397, 13631, 513, 2647, 5304, 563, 2691, 646, 4465, 519, 6723, 23340, 3212, 629, 1328, 13815, 267, 31076, 781, 1283, 8956, 267, 538, 476, 4198, 277, 267, 646, 729, 11855, 585, 1010, 5578, 543, 11958, 4800, 543, 519, 1857, 10343, 1010, 1982, 1185, 6591, 563, 6546, 1482, 1032, 267, 6004, 269, 21546, 849, 13739, 606, 791, 6842, 539, 543, 15982, 2272, 540, 519, 29070, 16580, 540, 519, 17195, 13274, 619, 1656, 16699, 16910, 807, 543, 14351, 27048, 538, 519, 9533, 1055, 519, 5032, 540, 12590, 269, 1548, 646, 1705, 711, 7866, 602, 3781, 729, 602, 1010, 1152, 1126, 267, 27692, 267, 476, 1691, 267, 1185, 1044, 20829, 519, 1656, 16699, 16910, 807, 543, 729, 5156, 547, 723, 1044, 7166, 269, 3571, 5639, 13264, 609, 7553, 693, 2053, 607, 646, 4330, 834, 1492, 1003, 6883, 267, 519, 7227, 267, 519, 10539, 267, 519, 20849, 5359, 4799, 16031, 269, 21546, 781, 8250, 729, 4362, 9800, 519, 1985, 1554, 267, 2348, 1044, 14393, 1529, 3585, 3032, 777, 738, 539, 547, 513, 16064, 540, 519, 14351, 27048, 950, 922, 6367, 1835, 14414, 883, 1200, 19970, 563, 257, 20751, 519, 2230, 540, 476, 2190, 3108, 267, 713, 27680, 814, 1044, 14593, 1524, 519, 30981, 14788, 547, 519, 1016, 1532, 848, 618, 540, 21817, 543, 6659, 1586, 547, 519, 15627, 540, 6909, 7772, 2437, 646, 1767, 593, 1010, 13739, 602, 1554, 563, 288, 10404, 540, 5010, 31076, 1256, 1247, 646, 729, 6964, 538, 519, 2872, 267, 646, 9896, 1055, 1010, 476, 1321, 4458, 5925, 1982, 538, 476, 3422, 278, 609, 713, 967, 1112, 618, 912, 257, 2467, 568, 2614, 4636, 538, 713, 14081, 547, 20519, 513, 2407, 8397, 4598, 3232, 267, 952, 711, 1169, 5662, 593, 519, 5662, 269, 1809, 14786, 2196, 16101, 733, 3949, 547, 561, 675, 3988, 610, 1832, 519, 3283, 789, 723, 269, 16340, 26511, 568, 6117, 15826, 4961, 2476, 538, 5323, 1407, 676, 6992, 1944, 519, 729, 339, 601, 1343, 540, 519, 2011, 30335, 609, 519, 23226, 540, 19039, 18657, 4531, 640, 269, 634, 3510, 568, 865, 3983, 519, 5010, 338, 267, 1256, 538, 741, 25294, 267, 616, 1419, 1732, 982, 519, 3292, 789, 1489, 4799, 16031, 269, 21546, 4465, 519, 28788, 2284, 10830, 2006, 7690, 267, 21238, 594, 269, 5918, 30716, 543, 6723, 2717, 330, 17341, 17758, 543, 519, 16713, 4750, 1143, 29274, 563, 288, 5065, 540, 9931, 320, 9931, 320, 267, 25169, 1421, 543, 513, 15921, 3288, 8775, 10927, 540, 18724, 2006, 5441, 267, 6004, 269, 21546, 3459, 1010, 4876, 538, 476, 4350, 273, 267, 607, 606, 10002, 4660, 7328, 1873, 31581, 693, 519, 22208, 10060, 269, 1261, 5249, 538, 1820, 19761, 585, 1079, 5756, 910, 585, 2136, 4964, 267, 519, 9628, 11545, 5240, 543, 7502, 1512, 781, 28315, 910, 1354, 11836, 595, 7034, 607, 513, 5925, 543, 8613, 3376, 322, 2120, 563, 14367, 1820, 10467, 3769, 6792, 267, 1141, 646, 1085, 17274, 539, 824, 1065, 13024, 593, 519, 26923, 540, 12157, 9917, 341, 1731, 6205, 15182, 570, 12783, 5652, 538, 476, 3707, 271, 267, 12968, 565, 21343, 543, 2342, 1282, 2622, 2782, 4083, 269, 1261, 729, 609, 519, 476, 276, 628, 8136, 950, 772, 2529, 269, 10136, 9676, 7507, 538, 476, 3707, 275, 267, 543, 646, 729, 538, 5507, 950, 621, 729, 896, 10514, 731, 618, 676, 519, 16586, 563, 16031, 269, 21546, 4080, 689, 519, 5664, 5101, 607, 513, 28479, 766, 5856, 1310, 519, 2112, 267, 1287, 6410, 547, 595, 7034, 543, 6115, 267, 1141, 646, 4988, 513, 2039, 540, 10467, 602, 3769, 519, 6519, 5600, 269, 595, 7034, 3957, 1864, 8689, 540, 5925, 543, 8613, 3377, 538, 476, 4198, 275, 543, 646, 8678, 13235, 607, 513, 6085, 1807, 519, 1985, 1032, 563, 3891, 3576, 513, 4734, 540, 9000, 689, 13235, 538, 476, 3422, 278, 547, 1831, 8783, 5330, 550, 540, 519, 5398, 16340, 26511, 12524, 267, 519, 8097, 5752, 602, 2663, 7960, 883, 32282, 269, 6004, 269, 21546, 781, 6566, 328, 699, 13739, 585, 623, 13993, 538, 476, 3422, 278, 267, 513, 1614, 16923, 1982, 593, 7292, 2042, 538, 519, 2136, 2276, 267, 729, 9833, 607, 513, 19506, 538, 1857, 8613, 563, 3891, 19622, 607, 513, 6241, 626, 585, 519, 5240, 1485, 5204, 526, 6510, 543, 607, 606, 13235, 6085, 1807, 538, 476, 3192, 276, 563, 1103, 2487, 1296, 267, 6004, 269, 21546, 1185, 4797, 7898, 1005, 543, 1603, 267, 1519, 960, 593, 606, 26249, 269, 3571, 4505, 1603, 3769, 834, 290, 548, 2130, 519, 5794, 2437, 513, 1433, 540, 16555, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4383, 595, 13748, 1851, 3571, 3966, 923, 998, 7175, 3173, 547, 3713, 14432, 19824, 267, 4529, 267, 610, 1514, 2175, 267, 543, 12136, 3928, 540, 595, 13748, 1851, 519, 3077, 2551, 269, 22859, 714, 267, 8621, 2335, 267, 2725, 25632, 543, 744, 685, 3519, 24335, 630, 1001, 277, 264, 4766, 1114, 1514, 1072, 21876, 602, 3571, 3966, 923, 6060, 14605, 607, 16030, 540, 1514, 267, 2168, 267, 1367, 5615, 267, 543, 4057, 1569, 547, 1072, 269, 634, 4589, 6318, 6161, 602, 6710, 3928, 1851, 3571, 3966, 923, 568, 1164, 543, 796, 3225, 958, 7059, 865, 602, 972, 616, 1906, 3638, 2043, 6466, 519, 5354, 2661, 2630, 519, 6710, 1899, 269, 22859, 714, 1696, 620, 269, 630, 1001, 277, 264, 849, 1336, 602, 972, 616, 1906, 3119, 1416, 6703, 543, 3782, 4600, 8957, 519, 2551, 540, 3571, 3966, 923, 538, 6917, 543, 4683, 1970, 11665, 17104, 2950, 269, 769, 741, 1382, 267, 519, 4589, 1336, 602, 519, 9860, 540, 7292, 7130, 543, 14882, 568, 4810, 676, 3571, 3966, 923, 945, 3343, 2564, 1416, 7654, 1813, 547, 741, 4057, 1620, 540, 519, 2296, 1893, 269, 22859, 714, 1696, 620, 269, 630, 1001, 277, 264, 1865, 1970, 2069, 2157, 607, 519, 1292, 2601, 585, 3571, 3966, 923, 685, 22293, 7282, 6197, 3676, 267, 543, 3352, 22529, 1043, 5615, 971, 607, 16906, 7296, 543, 4568, 6057, 269, 769, 741, 1353, 267, 519, 4589, 1336, 602, 1034, 3571, 3966, 923, 798, 711, 4497, 538, 9308, 5473, 16351, 2238, 267, 543, 741, 2732, 5161, 540, 1804, 9424, 540, 11950, 543, 9600, 269, 5015, 267, 513, 1713, 1297, 540, 3885, 849, 1491, 4568, 543, 13189, 267, 799, 616, 1634, 547, 16578, 1646, 540, 1826, 476, 273, 3987, 630, 307, 273, 291, 1040, 3245, 519, 2164, 540, 22859, 714, 1696, 620, 10200, 338, 630, 1001, 277, 264, 1353, 267, 621, 568, 2009, 547, 1711, 3617, 7459, 585, 3571, 3966, 923, 2094, 519, 1292, 7700, 2188, 547, 1164, 9860, 595, 13748, 9305, 547, 1514, 267, 2168, 267, 543, 2804, 21876, 540, 1072, 269, 634, 1239, 593, 7496, 547, 1072, 666, 581, 9916, 547, 2697, 519, 1808, 5615, 543, 2175, 602, 2333, 519, 10171, 540, 519, 1646, 540, 595, 13748, 269, 2991, 971, 2188, 723, 1044, 4857, 267, 621, 786, 581, 2009, 547, 1020, 1808, 7459, 585, 1142, 11064, 7551, 1818, 621, 2009, 547, 2569, 595, 13748, 1851, 3571, 3966, 923, 563, 7049, 5669, 543, 18726, 4578, 454, 19365, 338, 1696, 620, 269, 630, 1001, 276, 264, 9305, 519, 9860, 540, 595, 13748, 609, 19021, 640, 543, 824, 21876, 540, 1072, 269, 2201, 6927, 540, 1024, 15299, 267, 519, 4589, 8044, 602, 24802, 1713, 17114, 540, 14968, 543, 17324, 3571, 3966, 923, 3112, 581, 11911, 547, 1514, 543, 2168, 24572, 540, 1072, 4805, 2094, 4719, 2188, 849, 1404, 513, 1909, 538, 519, 13250, 540, 1560, 3170, 269, 634, 4589, 685, 4681, 5815, 602, 19021, 640, 4249, 513, 2629, 1909, 538, 519, 1646, 540, 8377, 2523, 1851, 3571, 3966, 923, 609, 25161, 19824, 269, 901, 1797, 602, 3571, 3966, 923, 723, 6090, 602, 2014, 519, 14968, 543, 8377, 2783, 269, 3245, 519, 4681, 267, 1239, 666, 581, 16432, 593, 519, 9860, 540, 5444, 14001, 595, 13748, 543, 3617, 7459, 971, 607, 2038, 4152, 585, 4719, 12508, 540, 595, 13748, 2944, 585, 2104, 2359, 540, 595, 13748, 563, 29619, 540, 519, 15783, 8827, 454, 763, 19753, 19397, 2188, 547, 595, 13748, 1851, 3571, 3966, 923, 538, 519, 2475, 723, 1044, 1336, 547, 9305, 547, 14227, 267, 2123, 267, 543, 4719, 21876, 540, 1072, 269, 1306, 971, 267, 621, 568, 2009, 547, 1711, 513, 3102, 6304, 4640, 602, 9607, 891, 7496, 547, 1072, 269, 634, 6069, 3070, 547, 519, 3390, 568, 547, 12167, 585, 6454, 540, 3571, 3966, 923, 685, 2713, 4441, 998, 2069, 543, 14227, 16882, 269, 634, 8360, 602, 3277, 547, 519, 6304, 538, 713, 2013, 29805, 607, 968, 574, 2889, 22777, 540, 2713, 4441, 892, 585, 713, 3390, 4016, 547, 513, 11455, 1935, 602, 13315, 2069, 267, 1914, 32241, 1981, 29969, 4656, 267, 543, 2804, 16882, 269, 901, 6304, 786, 1267, 538, 6190, 6161, 543, 4656, 540, 595, 13748, 1851, 3571, 3966, 923, 267, 543, 786, 849, 1291, 547, 741, 2804, 16882, 865, 602, 789, 786, 581, 2111, 547, 1569, 543, 6488, 2298, 3782, 269, 901, 3070, 20383, 609, 519, 623, 2975, 5588, 538, 602, 621, 786, 948, 2061, 595, 13748, 811, 982, 519, 6671, 2964, 2065, 2564, 7459, 585, 22008, 303, 585, 3571, 3966, 923, 609, 595, 13748, 267, 543, 519, 15415, 540, 1079, 1296, 568, 2614, 585, 519, 17104, 2551, 547, 4894, 519, 1699, 7496, 547, 595, 13748, 543, 8275, 1732, 1072, 563, 1692, 519, 8827, 4675, 2176, 16195, 24054, 585, 3571, 3966, 923, 454, 763, 1935, 267, 799, 568, 6454, 540, 2713, 4441, 540, 3571, 3966, 923, 998, 2069, 543, 2804, 16882, 1489, 3782, 9698, 676, 6220, 4507, 971, 607, 17629, 3782, 267, 543, 2069, 607, 2596, 1480, 2115, 269, 3571, 3966, 923, 723, 1970, 2069, 26556, 1813, 547, 16526, 2404, 609, 7292, 7130, 543, 21109, 267, 799, 568, 849, 519, 1482, 950, 621, 2501, 547, 11865, 540, 2298, 2564, 2533, 630, 289, 7614, 6577, 1696, 620, 1421, 476, 1001, 277, 1040, 634, 1982, 547, 2087, 519, 2298, 540, 1272, 7028, 2069, 543, 2298, 3782, 607, 4909, 1480, 2924, 269, 20226, 543, 14519, 538, 519, 2069, 543, 1072, 9922, 786, 581, 3238, 538, 1931, 547, 2327, 602, 5198, 543, 14227, 1362, 5829, 12886, 723, 1044, 6569, 1369, 513, 1974, 540, 1079, 1296, 547, 2327, 602, 3571, 3966, 923, 538, 896, 1440, 643, 850, 3022, 14227, 2175, 1205, 1569, 547, 2298, 2069, 543, 3782, 563, 289, 2788, 712, 12789, 267, 623, 269, 595, 1421, 22859, 714, 267, 808, 269, 631, 1421, 570, 8403, 591, 320, 267, 717, 269, 589, 1421, 2353, 2581, 267, 631, 269, 589, 1421, 1299, 30954, 22222, 267, 595, 269, 808, 269, 630, 1001, 277, 1040, 31292, 2068, 538, 3571, 3966, 923, 13624, 11294, 657, 538, 519, 2136, 2276, 269, 4750, 540, 4678, 2088, 270, 334, 6530, 267, 476, 275, 263, 273, 1070, 476, 7176, 268, 13647, 563, 289, 7614, 6577, 267, 631, 1421, 645, 7614, 6577, 267, 623, 1421, 12540, 12994, 267, 623, 1421, 1530, 573, 267, 631, 1421, 28226, 267, 717, 1421, 14956, 760, 926, 5025, 337, 3419, 534, 267, 700, 1421, 1299, 19134, 2426, 267, 670, 269, 630, 1001, 277, 1040, 10515, 3174, 540, 3782, 3028, 269, 22720, 297, 19120, 6380, 267, 476, 1839, 263, 278, 1070, 476, 2004, 280, 268, 276, 1704, 563, 305, 340, 714, 267, 808, 269, 631, 1421, 8621, 2335, 267, 670, 269, 589, 1421, 2725, 25632, 267, 631, 269, 681, 1421, 1299, 744, 685, 3519, 24335, 267, 631, 269, 674, 269, 630, 1001, 277, 1040, 634, 17104, 1072, 19433, 281, 689, 16917, 8344, 7613, 547, 9295, 3255, 585, 5626, 2257, 269, 6828, 22948, 1299, 3955, 16766, 9534, 267, 476, 866, 263, 275, 1070, 476, 5379, 273, 268, 5325, 277, 563, 19365, 338, 267, 661, 269, 623, 1421, 12379, 573, 528, 267, 631, 1421, 12736, 1562, 267, 918, 1421, 14878, 6975, 267, 623, 269, 631, 1421, 1299, 19785, 3430, 267, 590, 269, 645, 269, 630, 1001, 276, 1040, 3683, 7076, 543, 8377, 281, 9860, 267, 4539, 267, 543, 3123, 540, 513, 3395, 1857, 1072, 1966, 269, 7351, 8377, 5359, 267, 476, 275, 263, 274, 1070, 476, 3607, 274, 268, 24907, 563, 313, 3147, 1725, 7236, 267, 631, 1421, 1299, 6519, 267, 918, 269, 630, 1001, 276, 1040, 634, 4387, 540, 8808, 2259, 30304, 269, 5507, 281, 13643, 1299, 19258, 27451, 4804, 563, 5978, 3896, 814, 513, 2319, 540, 3318, 5830, 945, 666, 948, 596, 2328, 1022, 540, 707, 6780, 269, 1358, 786, 2328, 707, 4574, 689, 15072, 269, 1284, 849, 723, 513, 2319, 540, 15769, 1175, 547, 1118, 2386, 782, 4574, 616, 540, 670, 26996, 19532, 3201, 14510, 1299, 623, 6369, 22835, 2752, 26113, 17676, 269, 1677, 1118, 606, 11352, 596, 1152, 991, 547, 4945, 9105, 589, 7726, 543, 649, 786, 1463, 596, 547, 938, 11352, 8525, 693, 3503, 291, 5519, 269, 3973, 6445, 3776, 11352, 4813, 609, 782, 707, 7084, 5528, 269, 8564, 707, 21120, 543, 2628, 585, 707, 1957, 269, 1411, 786, 1205, 621, 1906, 3108, 1354, 707, 1305, 21120, 269, 0, 763, 6871, 5888, 4976, 960, 609, 713, 6240, 849, 581, 6654, 269, 654, 714, 1069, 324, 1863, 7317, 4976, 670, 310, 20587, 23531, 676, 4116, 20717, 576, 15173, 269, 18815, 6399, 2951, 942, 547, 960, 3764, 4600, 2085, 476, 1626, 1296, 476, 1001, 276, 268, 1001, 280, 476, 29483, 20677, 24770, 2405, 1014, 7622, 4747, 538, 476, 1001, 280, 9489, 269, 10318, 1456, 2600, 5888, 4976, 4267, 563, 8110, 1417, 5888, 6645, 596, 799, 2010, 540, 8444, 2609, 616, 1459, 538, 513, 269, 1215, 666, 849, 581, 5462, 689, 922, 24855, 2179, 1770, 2147, 547, 6460, 547, 1711, 513, 10959, 4704, 267, 609, 960, 960, 267, 799, 814, 711, 256, 631, 6897, 7136, 20587, 23531, 11061, 563, 303, 7035, 545, 26324, 3051, 785, 3351, 714, 19327, 561, 528, 454, 28398, 532, 476, 1556, 960, 4267, 7209, 1957, 585, 6530, 7262, 3059, 269, 20587, 5888, 676, 2527, 543, 649, 3513, 960, 998, 513, 1297, 540, 2259, 269, 661, 6573, 7644, 13965, 6730, 17834, 28421, 8085, 2752, 11123, 300, 308, 6369, 20796, 16775, 4047, 4953, 476, 272, 1323, 12547, 563, 5445, 786, 960, 538, 6887, 547, 1382, 519, 2010, 543, 5666, 540, 6464, 602, 786, 581, 269, 23531, 3947, 519, 6871, 540, 1142, 3693, 538, 513, 7623, 676, 2527, 269, 20587, 5888, 2259, 700, 17999, 7300, 7732, 563, 19425, 574, 26433, 6444, 602, 1826, 3340, 6616, 519, 3211, 585, 6085, 814, 922, 4542, 960, 609, 3435, 1775, 7487, 713, 454, 5445, 723, 513, 4976, 13886, 8490, 519, 17510, 3433, 799, 3947, 873, 513, 5650, 269, 23985, 4682, 4636, 609, 513, 4605, 24152, 891, 2042, 5473, 6871, 5888, 960, 609, 2810, 2604, 4679, 609, 960, 269, 20587, 720, 23531, 8018, 563, 8110, 1417, 5888, 676, 2527, 4976, 1397, 782, 960, 1519, 519, 2953, 4559, 543, 521, 580, 4453, 338, 609, 707, 2626, 14419, 519, 2600, 269, 13108, 307, 583, 3645, 476, 273, 11123, 300, 8085, 3008, 25783, 290, 7728, 17803, 19766, 5308, 296, 3582, 6730, 563, 24280, 519, 6871, 5888, 4976, 4267, 1344, 454, 288, 11578, 1062, 729, 16432, 609, 946, 540, 2866, 13907, 8193, 4976, 269, 5192, 707, 4976, 856, 543, 1577, 781, 960, 476, 272, 1210, 519, 8097, 1505, 476, 272, 563, 13480, 23651, 676, 12719, 519, 6871, 5888, 540, 519, 7623, 1210, 519, 269, 12706, 513, 19833, 23531, 20907, 1759, 593, 519, 8242, 2667, 636, 6877, 543, 269, 9185, 10241, 585, 19098, 14362, 563, 763, 13218, 13859, 543, 519, 2019, 636, 13011, 2079, 602, 568, 4976, 4397, 540, 519, 269, 10395, 755, 542, 2079, 568, 547, 513, 8392, 334, 845, 6920, 602, 646, 12699, 513, 13350, 3349, 547, 917, 799, 3123, 873, 547, 4976, 609, 960, 1519, 782, 269, 20587, 23531, 654, 330, 560, 4944, 4206, 563, 21093, 519, 2835, 2600, 5888, 4976, 609, 3435, 1631, 568, 711, 1826, 540, 269, 1548, 568, 513, 5114, 267, 519, 4976, 609, 16247, 545, 3679, 1459, 538, 519, 269, 26419, 769, 3733, 7982, 12881, 10435, 769, 11526, 5463, 2888, 9122, 563, 8110, 1417, 4976, 1966, 814, 519, 454, 6524, 29655, 519, 960, 6656, 4890, 2011, 2527, 13859, 829, 11304, 540, 5755, 269, 4855, 519, 2600, 15885, 17031, 547, 519, 14282, 20870, 540, 513, 2600, 540, 782, 540, 519, 2609, 538, 519, 1739, 7135, 476, 272, 9197, 293, 274, 9197, 674, 476, 273, 269, 7490, 4283, 707, 4976, 568, 6871, 5888, 4976, 609, 960, 269, 23531, 960, 6656, 4486, 563, 2005, 568, 2009, 547, 960, 23651, 547, 1265, 519, 12170, 4542, 540, 513, 7623, 689, 269, 22352, 519, 2667, 636, 6877, 543, 667, 1662, 4580, 4976, 585, 7577, 2473, 312, 313, 689, 563, 2005, 786, 3432, 909, 454, 763, 2600, 5888, 540, 513, 7623, 729, 1336, 547, 581, 476, 277, 3374, 8988, 476, 273, 9436, 269, 898, 786, 11008, 1227, 8897, 596, 547, 1413, 3391, 6871, 5888, 4976, 269, 20587, 23531, 8018, 8745, 3223, 601, 11261, 28914, 8058, 782, 26294, 585, 4466, 519, 24855, 2527, 6730, 519, 2600, 5888, 16761, 1401, 7568, 921, 1548, 269, 20587, 23531, 8018, 2060, 10298, 563, 1015, 20050, 1411, 9701, 7767, 538, 20587, 720, 23531, 8018, 2060, 4518, 454, 1432, 729, 519, 5888, 960, 454, 4131, 781, 5173, 519, 2600, 5888, 676, 2527, 540, 513, 26945, 7848, 269, 20587, 720, 23531 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3116, 269, 901, 568, 1317, 519, 5114, 568, 11528, 630, 28717, 6295, 519, 3003, 1560, 1070, 2864, 982, 22297, 547, 835, 1808, 1858, 563, 1103, 2110, 267, 32105, 616, 811, 10151, 267, 543, 2356, 979, 2476, 538, 513, 1906, 3108, 610, 2395, 269, 681, 10449, 666, 2063, 3476, 543, 991, 2027, 1416, 563, 13349, 17832, 7970, 585, 670, 1161, 543, 681, 10449, 454, 2691, 621, 2501, 547, 32105, 543, 30919, 267, 1978, 12153, 666, 2014, 891, 8886, 908, 2960, 2175, 547, 27506, 909, 563, 3080, 1455, 9594, 568, 11959, 269, 3509, 1004, 1265, 602, 1978, 3536, 267, 971, 607, 32729, 267, 10808, 267, 610, 10683, 2472, 267, 666, 1291, 547, 1312, 32105, 543, 30919, 269, 7025, 23480, 971, 607, 14947, 267, 3662, 546, 6387, 267, 610, 7452, 21746, 666, 849, 2014, 2960, 11959, 563, 5194, 9594, 585, 32105, 543, 30919, 568, 2566, 269, 898, 949, 2097, 607, 513, 9983, 267, 855, 3929, 610, 5626, 2566, 666, 8915, 3294, 593, 519, 2960, 269, 1879, 519, 1560, 568, 896, 2566, 267, 621, 13847, 1978, 6464, 602, 666, 9594, 606, 4761, 3210, 543, 1267, 538, 32105, 610, 513, 16420, 563, 1607, 568, 1419, 2938, 538, 2043, 945, 1995, 1164, 2157, 540, 3232, 2566, 610, 1346, 2469, 998, 1713, 1272, 2621, 563, 3383, 267, 621, 781, 1271, 547, 1832, 606, 3750, 856, 585, 1022, 2242, 538, 707, 2960, 950, 596, 2811, 4743, 16397, 610, 14129, 563, 1692, 7043, 1684, 670, 1161, 543, 681, 10449, 7831, 888, 295, 1161, 543, 30919, 666, 581, 3833, 21898, 16341, 267, 1419, 4929, 9636, 543, 21422, 269, 1809, 875, 1279, 798, 789, 3335, 2063, 286, 4270, 267, 519, 2626, 547, 602, 2243, 666, 4268, 4470, 593, 519, 1367, 543, 519, 5817, 2014, 563, 1103, 2489, 267, 32105, 4043, 547, 2063, 585, 513, 1906, 3108, 610, 2395, 267, 1247, 30919, 666, 6414, 585, 513, 3476, 8653, 563, 2690, 32105, 267, 519, 5354, 540, 2665, 8207, 1369, 476, 2190, 3108, 610, 1447, 269, 1717, 267, 930, 1004, 949, 1995, 20443, 14501, 602, 666, 2063, 585, 1896, 4374, 610, 1256, 3275, 563, 4322, 5312, 32105, 666, 581, 24858, 267, 607, 789, 949, 2097, 543, 979, 1510, 1022, 30753, 9594, 269, 898, 781, 1271, 547, 4063, 602, 32105, 1419, 14897, 593, 741, 1378, 267, 1256, 952, 5594, 2663, 982, 4397, 563, 5353, 22701, 6481, 6435, 585, 670, 1161, 543, 681, 10449, 454, 2691, 621, 2501, 547, 32105, 543, 30919, 267, 5275, 2564, 948, 666, 581, 2629, 538, 1931, 547, 1265, 8323, 543, 2232, 1022, 5817, 2152, 563, 15919, 267, 596, 666, 1521, 32105, 543, 30919, 693, 1753, 1210, 4915, 596, 666, 4444, 1510, 513, 13310, 269, 1809, 3006, 267, 596, 991, 547, 1294, 513, 4387, 563, 3080, 540, 519, 1292, 4128, 547, 3343, 2564, 948, 585, 32105, 543, 30919, 568, 950, 789, 6414, 610, 22009, 936, 942, 269, 1403, 1753, 14319, 1810, 1405, 960, 610, 952, 519, 2589, 3262, 267, 1294, 513, 3782, 8502, 269, 1358, 666, 1265, 856, 1018, 781, 4929, 707, 32105, 610, 16420, 543, 2303, 5574, 547, 948, 596, 1745, 1732, 563, 2252, 596, 723, 32105, 610, 513, 16420, 267, 543, 849, 723, 8373, 7244, 267, 4049, 21422, 267, 610, 11926, 540, 519, 17534, 610, 3068, 267, 621, 781, 1271, 547, 1205, 2564, 948, 1318, 2476, 269, 1452, 2589, 1223, 1611, 596, 2811, 2348, 513, 3978, 13027, 5114, 543, 2154, 7525, 3007, 563, 12709, 3816, 12203, 543, 32192, 585, 670, 1161, 543, 681, 10449, 454, 21093, 32105, 543, 30919, 666, 581, 21898, 16341, 267, 855, 972, 616, 1753, 14319, 602, 666, 948, 596, 1745, 1732, 269, 2290, 2442, 4781, 568, 547, 4019, 513, 4411, 14771, 547, 519, 4299, 1858, 269, 634, 4411, 2837, 666, 948, 2569, 6553, 543, 865, 6139, 519, 621, 577, 1465, 563, 21446, 8271, 267, 2921, 513, 3579, 8602, 609, 2458, 18042, 27046, 22596, 610, 11256, 14614, 666, 849, 1683, 8323, 269, 1452, 5820, 723, 2067, 3601, 602, 666, 9350, 519, 2960, 543, 2569, 16698, 269, 3807, 1118, 2386, 547, 9900, 1273, 3054, 3819, 607, 10353, 547, 27012, 609, 513, 24621, 26063, 547, 2057, 2417, 989, 2787, 563, 5194, 2500, 16185, 568, 519, 946, 540, 936, 7308, 23716, 4550, 7290, 26952, 269, 1452, 6527, 960, 676, 17527, 519, 1277, 8533, 5305, 538, 519, 1560, 267, 799, 568, 1419, 519, 2014, 540, 32105, 543, 30919, 563, 5445, 666, 3927, 2569, 21422, 543, 11926, 269, 898, 568, 1271, 547, 5402, 1246, 519, 18262, 5528, 269, 1403, 596, 723, 1022, 2564, 2175, 610, 616, 2921, 824, 6527, 267, 5077, 513, 3782, 3318, 563, 3528, 8026, 1434, 2960, 3249, 6208, 543, 3843, 856, 891, 1753, 14319, 267, 596, 666, 1265, 8323, 689, 32105, 543, 30919, 538, 519, 4313, 540, 707, 1378, 1753, 563, 288, 6380, 518, 267, 2859, 13229, 8827, 585, 670, 1161, 543, 681, 10449, 454, 4407, 972, 616, 1082, 5574, 585, 32105, 543, 30919, 267, 711, 782, 616, 3728, 610, 2922, 563, 25565, 22521, 28335, 267, 971, 607, 8652, 322, 677, 529, 821, 543, 23280, 267, 666, 5838, 8323, 855, 2356, 616, 3500, 547, 957, 563, 1103, 1840, 267, 891, 5574, 666, 849, 2014, 2960, 547, 1831, 25182, 267, 811, 17866, 267, 543, 12155, 547, 5563, 563, 763, 3476, 596, 946, 891, 28335, 267, 519, 811, 3441, 596, 949, 581, 4929, 707, 2960, 269, 769, 1249, 267, 1082, 1004, 945, 723, 1044, 2921, 22521, 28335, 585, 6905, 5712, 540, 942, 666, 2965, 1995, 8213, 543, 15639, 2589, 267, 1634, 607, 5440, 673, 28238, 1355, 2060, 9526, 531, 267, 610, 570, 14684, 563, 4913, 267, 5647, 6770, 513, 10930, 543, 811, 2500, 3070, 910, 667, 1069, 25279, 557, 10378, 563, 291, 1069, 25279, 557, 10378, 2488, 2656, 543, 9434, 8323, 585, 32105, 543, 30919, 269, 898, 3085, 1405, 723, 28335, 267, 7429, 824, 3681, 563, 7712, 621, 3085, 1405, 723, 28335, 267, 596, 666, 946, 621, 8164, 596, 991, 547, 1510, 20468, 827, 2427, 2360, 2336, 11101, 267, 7429, 29416, 8803, 6950, 602, 666, 1491, 3108, 543, 1256, 2395, 547, 960, 267, 667, 1069, 25279, 557, 10378, 5956, 2324, 1318, 2476, 267, 543, 513, 2582, 9570, 666, 2063, 585, 606, 3003, 3781, 2336, 1432, 5036, 667, 1069, 25279, 557, 10378, 6306, 888, 763, 5728, 568, 922, 2027, 4542, 602, 3533, 2337, 609, 32105, 543, 30919, 267, 4758, 3728, 8323, 269, 667, 1069, 25279, 557, 10378, 3096, 2067, 5820, 602, 616, 2635, 585, 707, 2960, 267, 1519, 1352, 320, 7423, 267, 12841, 1938, 543, 8324, 563, 11101, 267, 1813, 547, 922, 32104, 6954, 2470, 267, 667, 1069, 25279, 557, 10378, 568, 2922, 585, 6024, 946, 269, 901, 1797, 602, 1346, 10010, 609, 5312, 2960, 2175, 666, 723, 513, 3070, 593, 1688, 8164, 789, 991, 835, 563, 7093, 28124, 670, 1161, 543, 681, 10449, 281, 9669, 543, 570, 9581, 454, 2467, 616, 513, 1906, 2241, 4388, 543, 15361, 602, 666, 948, 2061, 32105, 543, 30919, 689, 1818, 606, 7938, 4372, 5920, 563, 5575, 543, 19466, 267, 621, 781, 1271, 547, 2697, 543, 2057, 1022, 12153, 602, 949, 581, 4929, 891, 2960, 6547, 269, 2368, 1919, 602, 666, 2014, 513, 5114, 616, 1978, 3536, 267, 11955, 267, 11959, 267, 543, 519, 4365, 269, 18227, 513, 19701, 547, 3950, 1022, 3270, 666, 581, 5363, 538, 7114, 1018, 1522, 581, 4929, 707, 32105, 543, 30919, 563, 5194, 1271, 1900, 538, 7303, 32105, 543, 30919, 568, 547, 1491, 1434, 1416, 540, 707, 2960, 269, 901, 2882, 5329, 621, 2973, 267, 5848, 28962, 267, 543, 6870, 689, 10792, 6464, 610, 8886, 1218, 269, 19805, 9543, 267, 32709, 6954, 2472, 585, 707, 2960, 543, 27445, 666, 849, 2569, 519, 1981, 540, 24254, 513, 5114, 563, 2414, 2061, 32105, 543, 30919, 267, 5957, 10690, 9660, 1500, 689, 7362, 762, 5958, 602, 3085, 1405, 1118, 596, 17570, 269, 14171, 891, 1507, 3268, 666, 979, 513, 1279, 1259, 538, 5329, 707, 2960, 2635, 543, 16420, 6954, 563, 2691, 547, 1937, 787, 281, 15783, 1290, 4124, 540, 670, 1161, 543, 681, 10449, 454, 22025, 1113, 1290, 4124, 540, 670, 1161, 543, 681, 10449, 666, 581, 513, 2014, 585, 6161, 267, 2523, 952, 789, 6414, 610, 22009, 936, 942, 563, 4407, 1034, 2665, 540, 32105, 543, 30919, 616, 20027, 543, 8207, 593, 741, 1378, 267, 972, 616, 8320, 1141, 2564, 3007, 949, 581, 2556, 563, 3080, 1761, 28658, 540, 32105, 543, 30919, 568, 3968, 269, 1879, 519, 2960, 568, 7745, 610, 8886, 730, 1813, 547, 31153, 267, 4551, 666, 4283, 519, 1930, 16398, 543, 1291, 547, 3968, 269, 12580, 540, 606, 3968, 666, 1331, 2799, 25017, 267, 11926, 267, 14246, 267, 543, 10669, 5250, 563, 2252, 596, 1294, 891, 4191, 267, 1205, 2564, 948, 547, 3247, 519, 3968, 689, 10825, 543, 4929, 2042, 269, 769, 930, 4686, 2665, 267, 4049, 13027, 6547, 1572, 606, 20942, 9471, 666, 4755, 543, 789, 666, 581, 1272, 18446, 269, 1323, 20942, 9471, 568, 950, 596, 723, 8373, 7244, 267, 707, 3068, 610, 11563, 2220, 20635, 267, 596, 1745, 546, 714, 5414, 267, 543, 707, 26470, 568, 3728, 610, 4617, 563, 2252, 596, 610, 2576, 596, 917, 2833, 891, 2589, 2059, 609, 32105, 610, 513, 16420, 267, 621, 568, 2629, 547, 3343, 7525, 2564, 3007, 563, 2304, 20942, 9471, 2115, 2656, 2126, 609, 3134, 710, 31058, 547, 2057, 811, 2042, 543, 7654, 4688, 513, 1272, 563, 4407, 1034, 32105, 543, 30919, 616, 20027, 543, 786, 8207, 593, 741, 1378, 267, 621, 568, 1271, 547, 581, 3222, 540, 1761, 8374, 269, 6884, 267, 5563, 610, 4049, 13027, 6547, 666, 4755, 543, 991, 2564, 948, 269, 1403, 596, 5469, 4191, 543, 1205, 2126, 950, 2877, 267, 596, 666, 2087, 707, 32105, 610, 16420, 563, 31010, 707, 2960, 781, 1072, 543, 4313, 3085, 1405, 723, 547, 27167, 23578, 547, 22247, 2126, 3681, 269, 2060, 667, 1069, 25279, 557, 10378, 267, 8323, 689, 32105, 543, 30919, 666, 581, 16190, 267, 9434, 267, 543, 2417, 11932, 267, 2922, 269, 5269, 519, 5100, 6467, 2221, 543, 546, 3558, 519, 7227, 543, 5855, 2404, 609, 2757, 29416, 8803, 6950, 563, 2414, 1451, 811, 827, 875, 667, 1069, 25279, 557, 10378, 666, 22499, 707, 2960, 1416, 20786, 267, 3643, 8940, 6155, 1069, 25279, 557, 2593, 563, 304, 281, 1215, 666, 594, 2995, 519, 3017, 1063, 32105, 543, 513, 16420, 888, 288, 281, 670, 1161, 543, 30919, 666, 3006, 1413, 2147, 267, 855, 972, 616, 513, 1906, 1883, 3604, 547, 1413, 856, 585, 269, 670, 1161, 616, 6659, 267, 28349, 27894, 593, 519, 2960, 602, 666, 2408, 10393, 543, 949, 2097, 543, 979, 3533, 269, 681, 10449, 267, 593, 519, 824, 1688, 267, 666, 1491, 1585, 3029, 543, 949, 1331, 25017, 267, 27894, 267, 28338, 267, 610, 10253, 269, 1403, 519, 27894, 593, 707, 2960, 616, 6659, 543, 28349, 267, 621, 781, 811, 2693, 547, 581, 32105, 269, 1403, 519, 16420, 3085, 1405, 723, 891, 4162, 267, 621, 949, 581, 513, 1114, 1826, 540, 16420, 563, 304, 281, 1548, 3123, 32105, 547, 2049, 888, 288, 281, 670, 1161, 616, 1419, 3361, 676, 606, 13027, 5114, 547, 1978, 6878, 267, 971, 607, 1426, 267, 6527, 267, 5521, 17486, 267, 610, 14947, 269, 1358, 666, 849, 581, 15427, 676, 1875, 22433, 21544, 2188, 267, 899, 3002, 267, 4411, 267, 3635, 267, 2566, 267, 610, 2604, 593, 519, 2960, 269, 769, 930, 2665, 267, 519, 3169, 2014, 540, 32105, 949, 581, 7164, 563, 304, 281, 1548, 616, 519, 1455, 3123, 540, 513, 16420, 888, 288, 281, 634, 3123, 540, 513, 16420, 666, 4268, 4470, 593, 519, 1826, 540, 16420, 269, 2353, 25489, 568, 513, 1455, 2014, 269, 1924, 616, 5563, 543, 8886, 1218, 630, 7945, 607, 6464, 610, 1978, 6527, 1040, 16790, 14545, 3676, 543, 4719, 2188, 666, 849, 3565, 269, 898, 781, 1271, 547, 5077, 513, 3782, 3318, 547, 3313, 519, 2014, 540, 707, 1808, 16420, 563, 304, 281, 3657, 32105, 543, 513, 16420, 519, 1482, 3364, 888, 288, 281, 670, 1161, 543, 513, 16420, 616, 711, 519, 1482, 3364, 269, 670, 1161, 616, 513, 1826, 540, 16420, 267, 855, 711, 782, 30919, 616, 32105, 269, 670, 1161, 616, 6353, 676, 28349, 6659, 27894, 593, 519, 2960, 602, 666, 2097, 543, 979, 3533, 269, 681, 10449, 267, 593, 519, 824, 1688, 267, 666, 1491, 1585, 3029, 543, 723, 1114, 3123, 563, 304, 281, 1215, 798, 594, 2697, 32105, 888, 288, 281, 670, 1161, 616, 3335, 4857, 676, 519, 5920, 540, 6659, 267, 28349, 27894, 593, 519, 2960, 269, 1452, 27894, 949, 4268, 538, 2450, 543, 3337, 543, 666, 2408, 9170, 593, 519, 1560, 269, 670, 1161, 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, 1655, 6045, 609, 2168, 9424, 676, 16208, 519, 16755, 538, 2474, 540, 9386, 540, 513, 1599, 269, 1280, 1383, 519, 15452, 1648, 5673, 593, 519, 3432, 540, 606, 1843, 676, 519, 4542, 3230, 292, 7807, 2765, 346, 272, 2410, 273, 348, 544, 642, 317, 273, 21974, 1284, 666, 2328, 713, 607, 3230, 292, 815, 535, 17635, 14638, 269, 14597, 519, 1843, 814, 2527, 3230, 274, 315, 4846, 2330, 543, 3432, 3230, 279, 315, 544, 521, 13064, 272, 6525, 269, 4706, 15452, 1648, 568, 6695, 2765, 346, 272, 2410, 273, 348, 476, 274, 1422, 9392, 476, 279, 317, 273, 815, 476, 9834, 315, 808, 21974, 3767, 519, 9386, 540, 3230, 325, 2330, 693, 602, 1448, 568, 3230, 2190, 2330, 1317, 540, 519, 6935, 3230, 323, 661, 815, 544, 642, 546, 642, 21974, 898, 1797, 602, 606, 2333, 540, 519, 3432, 676, 3230, 272, 315, 2330, 25451, 829, 2034, 2164, 538, 513, 2333, 540, 1648, 540, 3230, 2190, 2330, 795, 537, 956, 269, 634, 2495, 540, 519, 4542, 568, 602, 519, 9386, 540, 519, 11201, 1599, 568, 519, 11201, 540, 519, 9386, 540, 3230, 325, 18079, 602, 568, 547, 2161, 6695, 2765, 346, 272, 2410, 2190, 6525, 269, 4935, 606, 2333, 540, 3230, 272, 808, 2330, 540, 15452, 1648, 2164, 538, 606, 2333, 540, 6695, 2765, 346, 272, 2410, 2190, 348, 544, 521, 13064, 272, 6525, 538, 3432, 269, 1677, 2040, 1919, 909, 267, 952, 3230, 341, 284, 326, 27887, 264, 815, 535, 13064, 272, 12917, 292, 14638, 267, 649, 723, 1269, 2330, 259, 325, 263, 279, 6661, 9834, 315, 29911, 575, 263, 9834, 6661, 279, 315, 29911, 535, 21948, 279, 264, 815, 476, 2190, 315, 29911, 575, 21948, 9834, 264, 815, 1422, 2765, 346, 272, 2410, 2190, 348, 815, 1422, 2765, 346, 272, 2410, 325, 21948, 279, 14587, 815, 1422, 2765, 346, 272, 2410, 325, 21948, 326, 263, 9834, 4297, 6525, 2330, 634, 1883, 1448, 547, 1174, 568, 602, 649, 1491, 3230, 326, 2330, 543, 3230, 326, 262, 2330, 693, 519, 1448, 3230, 9834, 815, 535, 263, 279, 14638, 267, 855, 649, 1491, 3230, 325, 2330, 543, 3230, 325, 262, 2330, 693, 519, 1448, 3230, 279, 815, 575, 263, 9834, 14638, 269, 0, 258, 1215, 7982, 532, 5455, 570, 15735, 30863, 3718, 692, 763, 8212, 540, 7982, 532, 5455, 570, 15735, 30863, 454, 303, 1046, 532, 1247, 6287, 532, 3340, 1445, 543, 513, 2603, 540, 2259, 563, 5353, 30807, 1014, 594, 990, 2335, 8636, 328, 270, 328, 1805, 1442, 874, 9369, 692, 15703, 2188, 1118, 25380, 909, 513, 6287, 539, 6174, 811, 7294, 982, 1175, 8380, 519, 1286, 883, 9258, 543, 2469, 585, 621, 1384, 1892, 634, 6287, 539, 6174, 543, 6287, 532, 17102, 8591, 811, 2597, 547, 519, 14764, 563, 1892, 2353, 540, 519, 3063, 2597, 568, 4092, 3297, 519, 6287, 6174, 630, 684, 1652, 1945, 814, 8854, 1360, 4636, 1916, 1892, 634, 6287, 532, 17102, 2882, 513, 22141, 267, 799, 5540, 875, 519, 6287, 6174, 2306, 7140, 563, 1892, 634, 1079, 6472, 4019, 3196, 547, 835, 1776, 267, 799, 2242, 519, 1259, 519, 6287, 6174, 666, 17108, 267, 20347, 543, 2490, 780, 2414, 6287, 513, 6174, 9108, 267, 621, 781, 1434, 547, 723, 513, 2596, 1620, 540, 6323, 269, 3371, 781, 513, 2656, 678, 1495, 1144, 593, 519, 6323, 540, 6287, 532, 513, 6174, 1384, 10303, 519, 6287, 6174, 814, 547, 7485, 610, 7903, 811, 2597, 982, 3339, 267, 621, 1590, 4308, 609, 513, 1114, 1377, 540, 24880, 269, 769, 1068, 807, 568, 519, 12402, 585, 606, 1843, 547, 5706, 513, 1689, 538, 922, 1533, 540, 5163, 269, 898, 781, 711, 513, 3586, 1871, 4534, 3615, 609, 1114, 13999, 723, 1114, 2418, 540, 24880, 269, 1323, 1843, 609, 3152, 2527, 786, 5706, 2242, 547, 922, 1533, 540, 5163, 811, 982, 606, 1843, 609, 1447, 2527, 780, 30692, 692, 30692, 692, 2414, 7753, 24880, 267, 519, 6287, 6174, 781, 2599, 1590, 1685, 811, 960, 982, 621, 1131, 585, 519, 6174, 593, 922, 1378, 269, 634, 1689, 538, 5163, 568, 1572, 10231, 269, 24665, 566, 568, 513, 6152, 7274, 267, 799, 1797, 621, 814, 1312, 513, 4287, 543, 513, 9588, 269, 2060, 10231, 267, 602, 9588, 568, 513, 1689, 538, 6991, 780, 1103, 519, 2013, 540, 25380, 909, 513, 6287, 539, 6174, 267, 519, 4287, 540, 10231, 1131, 581, 18807, 4534, 689, 519, 5133, 540, 2576, 9361, 538, 519, 9920, 781, 10160, 540, 519, 6287, 6174, 269, 1677, 1847, 538, 9258, 9108, 267, 519, 9920, 1590, 2046, 1524, 593, 519, 5787, 1807, 29465, 5402, 780, 5629, 538, 5163, 267, 14322, 1312, 6472, 616, 593, 513, 1377, 2627, 267, 519, 9920, 1590, 3136, 547, 2046, 519, 5787, 1807, 865, 602, 519, 2599, 786, 1683, 513, 3586, 3196, 547, 519, 6287, 539, 6174, 269, 2334, 781, 1317, 540, 11508, 269, 674, 9689, 568, 513, 3196, 25116, 676, 513, 2627, 607, 606, 1843, 7575, 2066, 621, 269, 769, 713, 2013, 267, 11508, 10039, 513, 3196, 6587, 547, 519, 835, 4294, 676, 519, 9920, 269, 1403, 519, 9920, 1705, 711, 4019, 513, 3586, 3196, 998, 519, 5787, 1807, 29465, 267, 519, 1079, 6472, 1131, 5555, 3247, 593, 741, 1378, 780, 2691, 596, 2811, 25380, 909, 513, 6287, 539, 6174, 267, 596, 723, 547, 581, 6297, 711, 547, 1847, 1932, 3533, 267, 1317, 24880, 849, 4249, 513, 3815, 950, 596, 4019, 519, 26039, 269, 5457, 267, 24880, 4016, 547, 606, 1843, 781, 4187, 547, 2242, 538, 5163, 269, 1403, 606, 1843, 568, 3001, 267, 621, 786, 5706, 4229, 3843, 547, 3247, 621, 269, 1879, 596, 2811, 7231, 609, 606, 1843, 609, 513, 2603, 540, 2527, 4534, 1079, 6472, 8678, 1927, 267, 585, 1383, 4534, 519, 24880, 3238, 1797, 811, 960, 568, 2838, 547, 3500, 543, 3247, 519, 1843, 781, 5163, 780, 9202, 267, 649, 3513, 1413, 693, 930, 2553, 585, 25380, 909, 1247, 6287, 532, 513, 6174, 269, 0, 258, 3752, 1386, 10819, 2201, 4223, 4631, 1656, 10318, 514, 1218, 21584, 692, 1892, 543, 7824, 454, 1892, 10732, 267, 5130, 476, 4029, 267, 476, 1708, 272, 476, 1015, 281, 5881, 281, 1321, 7537, 454, 1892, 476, 273, 6085, 692, 17572, 8745, 281, 12193, 2042, 593, 14290, 543, 21876, 1547, 32502, 454, 23917, 281, 476, 28510, 271, 298, 321, 454, 13775, 281, 476, 4029, 269, 4905, 269, 1708, 272, 692, 2005, 814, 476, 273, 9343, 543, 476, 275, 9587, 269, 1284, 2356, 2328, 14290, 3330, 24324, 610, 23049, 1496, 476, 4940, 1284, 946, 14290, 547, 4194, 21800, 4834, 2073, 602, 649, 1558, 4505, 780, 1103, 713, 2985, 11201, 540, 5119, 3211, 649, 616, 2469, 547, 1294, 2259, 2055, 540, 519, 1888, 5119, 269, 769, 951, 525, 798, 2291, 585, 1875, 1606, 532, 983, 14290, 780, 12385, 4631, 543, 10318, 514, 1218, 15545, 769, 9119, 267, 835, 540, 519, 4277, 267, 15864, 543, 1271, 1888, 568, 4223, 4631, 543, 10318, 514, 1218, 269, 5272, 1032, 596, 786, 1205, 693, 2547, 476, 272, 910, 476, 274, 2055, 538, 808, 7417, 6301, 543, 824, 11400, 267, 2047, 543, 18549, 267, 519, 1523, 540, 713, 3184, 786, 581, 3238, 538, 1082, 824, 11271, 267, 899, 7533, 543, 11186, 11810, 269, 10417, 540, 713, 3184, 786, 581, 1031, 585, 519, 7852, 20675, 4146, 1523, 780, 1012, 6796, 1133, 19989, 538, 9167, 3148, 692, 2026, 649, 723, 2938, 538, 2250, 4245, 267, 538, 1931, 547, 5581, 1018, 568, 513, 24572, 540, 513, 5119, 649, 991, 547, 979, 1394, 513, 547, 938, 4214, 540, 513, 5119, 269, 5457, 602, 649, 723, 19927, 602, 513, 5119, 568, 606, 10288, 1592, 540, 2338, 2322, 538, 513, 14328, 31455, 269, 901, 1592, 666, 849, 581, 1572, 513, 14328, 5044, 267, 543, 621, 2488, 606, 1931, 569, 6752, 547, 4159, 513, 834, 4289, 257, 540, 1344, 2609, 269, 1403, 596, 1616, 547, 2689, 519, 4214, 540, 519, 5119, 609, 811, 1469, 596, 666, 30603, 938, 3992, 593, 10035, 540, 14290, 269, 589, 5119, 6257, 513, 5276, 7004, 610, 5276, 4786, 267, 799, 568, 513, 2186, 540, 16606, 1063, 1079, 2010, 540, 15821, 3889, 267, 971, 607, 6152, 4610, 269, 769, 602, 1259, 267, 649, 666, 8207, 1949, 540, 5276, 4834, 676, 8204, 513, 5276, 1062, 607, 513, 5119, 780, 29995, 513, 5119, 3568, 2338, 610, 15821, 7215, 269, 1411, 949, 723, 4862, 14290, 1572, 14249, 2073, 2523, 538, 2780, 2257, 269, 1306, 606, 1383, 267, 952, 596, 1185, 1614, 19946, 267, 543, 596, 4941, 606, 2653, 1259, 547, 4558, 741, 2085, 543, 1297, 540, 8424, 540, 10887, 267, 596, 1223, 4558, 713, 1344, 538, 513, 5119, 269, 634, 4890, 5119, 568, 3330, 543, 2882, 519, 23049, 15545, 4223, 4631, 616, 1572, 3818, 8820, 2094, 649, 723, 1239, 1373, 6740, 538, 1114, 8846, 538, 513, 7470, 269, 1411, 2141, 979, 1524, 1101, 267, 543, 1287, 936, 547, 1205, 519, 7516, 540, 519, 5119, 269, 3962, 1297, 610, 4756, 3330, 519, 5119, 568, 1572, 606, 7127, 610, 3693, 2073, 543, 666, 581, 4857, 676, 31941, 338, 780, 18455, 835, 540, 519, 17950, 540, 7223, 267, 621, 568, 1898, 585, 1169, 8321, 656, 547, 723, 2312, 2035, 543, 6190, 2259, 269, 634, 2609, 538, 513, 4009, 5119, 585, 799, 519, 1297, 540, 519, 4737, 568, 3160, 547, 519, 1297, 540, 519, 6241, 568, 1572, 519, 3056, 15497, 610, 519, 6240, 15497, 540, 519, 5119, 269, 589, 4009, 5119, 568, 1572, 7329, 11391, 582, 550, 952, 519, 1587, 540, 519, 5119, 609, 3294, 2164, 538, 519, 1482, 5119, 269, 589, 5119, 538, 799, 519, 3693, 540, 519, 1775, 555, 4737, 543, 795, 555, 6241, 568, 3160, 547, 519, 3693, 540, 519, 795, 555, 4737, 543, 1775, 555, 6241, 269, 589, 5119, 538, 799, 519, 3693, 540, 519, 1775, 555, 4737, 543, 795, 555, 6241, 568, 3160, 547, 519, 2942, 540, 519, 3693, 540, 519, 795, 555, 4737, 543, 1775, 555, 6241, 267, 971, 602, 782, 2609, 540, 519, 6240, 15497, 616, 4642, 269, 634, 1098, 2821, 540, 513, 2016, 5119, 568, 519, 5119, 5833, 676, 954, 577, 4474, 519, 2609, 540, 9343, 543, 9587, 780, 3080, 540, 938, 21927, 786, 556, 3200, 547, 596, 1369, 476, 4366, 3108, 269, 11531, 596, 666, 17949, 519, 5131, 5530, 7698, 269, 4223, 4631, 543, 10318, 514, 1218, 568, 513, 1360, 1271, 1888, 538, 9119, 269, 5192, 3798, 684, 2193, 781, 1353, 4967, 609, 12596, 267, 2055, 543, 3435, 547, 917, 1018, 616, 19336, 543, 10318, 5364, 543, 875, 547, 4194, 891, 2055, 269, 769, 713, 2634, 7888, 3391, 267, 596, 3513, 1353, 543, 3533, 9787, 519, 1739, 2035, 281, 780, 1012, 19336, 543, 10318, 5364, 910, 3798, 684, 2193, 5530, 11872, 609, 4813, 10358, 267, 5999, 1299, 10298, 692, 15239, 6945, 10658, 26072, 2443, 8347, 707, 1688, 693, 891, 7138, 1782, 13410, 269, 1215, 666, 594, 4729, 513, 10539, 5119, 585, 513, 6258, 811, 827, 10539, 267, 8760, 267, 24352, 20199, 267, 1875, 321, 2435, 10803, 543, 10724, 4804, 15484, 7901, 269, 634, 1200, 2466, 1014, 31669, 540, 513, 5119, 568, 5833, 676, 2921, 519, 1950, 31669, 540, 1142, 3693, 543, 1287, 2921, 519, 1098, 2821, 540, 269, 4258, 1087, 26427, 9046, 2443, 4855, 10374, 652, 2619, 689, 2707, 547, 10278, 269, 1703, 616, 1100, 1318, 610, 4636, 2055, 267, 3976, 789, 1058, 2626, 1142, 2243, 607, 25473, 607, 2009, 547, 780, 396, 507, 3264, 16044, 483, 3378, 10948, 3264, 20732, 9841, 11012, 3378, 13150, 3522, 8563, 4138, 31224, 20413, 4709, 3264, 17095, 21134, 10528, 3522, 17221, 19628, 269, 2843, 352, 20413, 12811, 9326, 21660, 11012, 4344, 17201, 3264, 10780, 4138, 4814, 22147, 11012, 11012, 9924, 4814, 21134, 269, 910, 1109, 396, 354, 3378, 16021, 20977, 25338, 9924, 267, 2843, 498, 21833, 3522, 16648, 16648, 3522, 267, 14359, 3378, 476, 9326, 18194, 17201, 21833, 20265, 11012, 6459, 29391, 4138, 31224, 30935, 11012, 8563, 3378, 3264, 13953, 476, 25000, 20434, 3264, 13953, 269, 910, 1109, 396, 507, 7846, 18194, 3522, 286, 1109, 268, 2843, 508, 4709, 16044, 483, 9261, 9924, 7549, 4709, 7846, 6459, 780, 396, 504, 6459, 19628, 10948, 269, 910, 1109, 29551, 16044, 491, 4344, 21134, 15800, 30935, 7549, 6459, 19628, 10948, 3522, 20046, 31502, 31128, 15671, 3378, 30935, 9261, 9924, 4736, 3264, 6459, 780, 396, 508, 4709, 24893, 7846, 31224, 2843, 375, 4138, 14359, 3264, 25338, 3264, 15671, 21134, 25338, 4814, 25974, 4138, 6459, 31502, 17095, 14359, 3264, 13953, 267, 11012, 17153, 8563, 19277, 4138, 6459, 476, 4344, 31589, 16648, 7549, 7846, 15800, 11714, 13150, 3522, 8563, 4138, 6459, 11714, 16068, 4344, 8563, 21268, 13150, 4138, 3264, 476, 16021, 6459 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 2467, 723, 1044, 6811, 602, 2067, 2472, 3274, 723, 513, 21897, 1198, 269, 769, 938, 1353, 267, 649, 6743, 693, 811, 982, 476, 1911, 2010, 540, 2067, 1587, 10659, 602, 616, 9228, 547, 581, 519, 1655, 543, 1336, 602, 621, 568, 2009, 585, 2067, 2472, 547, 3035, 519, 1482, 7145, 607, 812, 13402, 5061, 269, 1717, 267, 519, 5506, 540, 4466, 971, 10659, 1759, 593, 2757, 2409, 568, 1970, 630, 10964, 578, 476, 274, 829, 1298, 264, 607, 519, 2067, 2472, 723, 547, 581, 540, 6190, 1494, 1890, 543, 3144, 538, 519, 1318, 4999, 3034, 9202, 3268, 585, 1382, 593, 2067, 2472, 454, 763, 4681, 689, 713, 1382, 1683, 513, 5748, 585, 2417, 2090, 593, 519, 4791, 7145, 540, 16909, 4915, 543, 875, 513, 4999, 540, 2067, 2472, 543, 10991, 5061, 666, 581, 3144, 1927, 547, 4339, 3676, 563, 763, 2319, 786, 3136, 547, 2932, 811, 1382, 538, 713, 1858, 267, 538, 1880, 267, 547, 3313, 875, 547, 3035, 519, 1482, 1377, 540, 7145, 585, 2067, 2472, 607, 10991, 5061, 269, 4256, 1382, 786, 1445, 593, 2442, 16909, 2472, 543, 4749, 11311, 2757, 4915, 563, 298, 574, 828, 2917, 15651, 1923, 1715, 1873, 1047, 454, 27319, 4578, 26306, 1107, 5080, 325, 532, 519, 8262, 23027, 454, 6349, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 1323, 613, 342, 663, 974, 6176, 4614, 1013, 1731, 28218, 454, 20458, 1689, 1223, 856, 10628, 16501, 8235, 16422, 21622, 20038, 454, 1240, 269, 1556, 269, 1001, 277, 1923, 2160, 540, 28599, 454, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 3047, 7070, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 3047, 7070, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 10049, 7070, 0, 298, 333, 22741, 568, 13730, 827, 4264, 8105, 543, 4264, 1426, 563, 15933, 1175, 16919, 1732, 950, 621, 779, 3812, 519, 1318, 1259, 543, 649, 666, 1832, 12419, 4264, 3132, 585, 5481, 547, 2097, 269, 15154, 827, 875, 547, 4688, 1216, 693, 1169, 3942, 538, 1931, 547, 3132, 13476, 7874, 1426, 568, 835, 540, 519, 2081, 649, 543, 519, 6705, 649, 960, 609, 616, 3257, 938, 3787, 563, 13328, 4826, 10432, 568, 519, 3501, 942, 547, 2491, 1175, 1018, 12928, 22741, 20885, 1797, 543, 875, 3025, 666, 960, 1927, 547, 948, 16756, 741, 1216, 11640, 563, 2171, 782, 723, 835, 267, 855, 875, 1082, 540, 721, 2731, 917, 1018, 938, 1216, 11640, 568, 286, 1411, 1522, 1589, 621, 779, 875, 1454, 1216, 596, 4235, 610, 875, 1454, 596, 946, 547, 17643, 610, 11547, 519, 1286, 267, 855, 602, 779, 1175, 519, 9133, 540, 519, 4672, 6199, 269, 2201, 3328, 649, 946, 827, 476, 4391, 17529, 513, 1554, 593, 1346, 6469, 2238, 1107, 855, 950, 596, 1413, 693, 519, 6456, 1216, 1031, 547, 3132, 519, 1426, 649, 3548, 267, 938, 1216, 11640, 9428, 547, 936, 476, 272, 267, 1822, 17529, 2614, 547, 6445, 5722, 3905, 8685, 338, 563, 3719, 1946, 568, 713, 513, 1966, 286, 5221, 649, 2461, 4881, 856, 540, 4195, 1216, 563, 2690, 3368, 513, 5479, 1262, 1004, 1216, 20317, 568, 2907, 606, 3390, 267, 676, 476, 10711, 271, 267, 519, 6167, 25221, 602, 3368, 519, 2518, 2551, 786, 581, 6849, 1216, 22520, 269, 2334, 779, 1946, 649, 782, 991, 547, 1831, 811, 3222, 540, 519, 1216, 649, 2048, 4621, 2541, 685, 1169, 1554, 267, 1256, 952, 621, 568, 31305, 971, 607, 1216, 538, 8105, 269, 769, 1249, 713, 15865, 1216, 568, 2629, 267, 607, 1169, 1032, 1472, 476, 3445, 829, 1298, 540, 519, 1158, 779, 2698, 2627, 543, 2666, 1216, 568, 1031, 547, 1332, 7031, 563, 3383, 1018, 616, 649, 3257, 888, 298, 333, 22741, 6487, 602, 1247, 1216, 538, 8105, 568, 2565, 267, 621, 666, 849, 581, 513, 2101, 2707, 540, 1216, 3653, 269, 6904, 568, 1946, 649, 616, 2324, 609, 6705, 2066, 519, 1158, 547, 948, 873, 547, 2743, 4264, 6683, 3853, 543, 22082, 1007, 2553, 547, 2759, 1524, 519, 2179, 540, 1216, 602, 568, 1031, 547, 1332, 7031, 269, 3683, 519, 2063, 1614, 1296, 6705, 945, 616, 851, 540, 12928, 22741, 779, 4264, 6683, 1982, 723, 10710, 606, 3328, 540, 476, 29876, 267, 1822, 17529, 1107, 602, 779, 936, 476, 276, 2929, 14296, 540, 1216, 563, 3383, 1018, 666, 3025, 798, 547, 2569, 741, 6456, 1216, 11640, 888, 272, 269, 5269, 2241, 1426, 2220, 2355, 269, 1684, 596, 917, 875, 1454, 1216, 596, 1223, 4688, 676, 15175, 689, 3694, 547, 12277, 286, 3371, 616, 930, 811, 9670, 1216, 9494, 2220, 2355, 912, 265, 272, 4846, 11224, 476, 273, 269, 736, 7273, 454, 273, 269, 3367, 519, 6003, 269, 6733, 585, 519, 12928, 22741, 20885, 26844, 20446, 547, 1397, 602, 5820, 538, 519, 2472, 596, 2461, 9140, 723, 1044, 30396, 21433, 267, 543, 602, 2882, 1210, 1447, 1216, 547, 3132, 873, 269, 1284, 2461, 1134, 593, 938, 3460, 609, 6705, 547, 1332, 938, 5820, 19100, 998, 938, 12928, 22741, 20885, 26844, 563, 274, 269, 13772, 707, 3653, 269, 1879, 596, 12235, 856, 1426, 267, 596, 5749, 1406, 1175, 27830, 1018, 596, 10093, 1406, 3893, 1472, 547, 4189, 267, 596, 616, 849, 27830, 782, 519, 2200, 267, 1519, 1216, 267, 602, 941, 1031, 547, 3132, 621, 269, 1924, 3079, 540, 18530, 856, 1346, 2451, 13569, 267, 1205, 6273, 676, 891, 2093, 547, 2490, 873, 883, 17705, 8286, 3079, 563, 265, 4826, 14272, 2745, 8416, 454, 1262, 5274, 4886, 7797, 476, 1220, 277, 269, 6167, 7894, 267, 476, 1220, 277 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1177, 520, 558, 773, 12075, 267, 1317, 621, 2095, 539, 883, 8235, 623, 1195, 1146, 563, 6097, 547, 667, 21779, 1299, 2696, 5341, 630, 476, 2735, 272, 3738, 543, 8048, 4226, 614, 543, 6215, 13273, 630, 476, 3422, 279, 16532, 21142, 700, 558, 1314, 543, 519, 7732, 540, 6837, 3173, 1705, 711, 2594, 1022, 18647, 21462, 5443, 630, 610, 2021, 3738, 1991, 547, 476, 3707, 272, 267, 950, 646, 6592, 12312, 5600, 543, 4024, 773, 9466, 2282, 8235, 595, 768, 528, 656, 267, 14967, 267, 543, 631, 28854, 27347, 693, 853, 990, 718, 267, 14967, 6902, 2705, 267, 713, 3409, 568, 31713, 607, 3627, 543, 21142, 700, 558, 1314, 1705, 2594, 645, 4157, 6390, 6519, 538, 476, 4350, 280, 267, 8048, 5617, 569, 538, 476, 4350, 274, 543, 1034, 2693, 1866, 563, 6097, 547, 513, 2689, 518, 267, 646, 1705, 1454, 540, 519, 1382, 585, 519, 4320, 538, 6115, 267, 667, 269, 595, 1421, 693, 519, 7732, 540, 6837, 543, 519, 2817, 19964, 267, 1085, 28666, 6119, 540, 519, 3557, 4972, 267, 772, 269, 590, 269, 24959, 11752, 543, 824, 8041, 563, 6097, 547, 519, 7732, 540, 6837, 267, 834, 621, 568, 4922, 5156, 602, 789, 941, 1031, 5097, 585, 2673, 13522, 543, 7654, 519, 6172, 12519, 6429, 1141, 16910, 18333, 512, 2355, 1200, 31623, 1927, 563, 6097, 547, 7172, 4115, 22186, 22220, 670, 839, 5443, 267, 654, 841, 543, 654, 1446, 539, 620, 4149, 515, 327, 686, 1031, 519, 5769, 1569, 693, 5548, 2001, 16047, 5398, 7732, 538, 4864, 476, 1220, 272, 267, 1141, 789, 949, 723, 1044, 3168, 693, 1344, 593, 7693, 7452, 532, 6902, 789, 27333, 2451, 519, 5399, 609, 513, 3791, 5664, 8109, 812, 2219, 547, 581, 3057, 9774, 620, 4149, 515, 327, 6062, 267, 945, 670, 839, 5443, 1767, 4280, 1200, 585, 519, 2012, 540, 513, 2199, 13962, 563, 6097, 547, 519, 772, 269, 590, 269, 2817, 7732, 540, 6925, 267, 7503, 6794, 568, 834, 513, 2783, 538, 799, 513, 1268, 814, 21901, 267, 26900, 610, 824, 8401, 1062, 602, 3112, 581, 6045, 676, 2564, 6268, 834, 563, 6097, 547, 18135, 2692, 267, 5915, 564, 686, 639, 6273, 519, 5137, 540, 519, 31040, 542, 267, 1732, 1634, 607, 519, 7732, 540, 28641, 267, 799, 729, 24018, 1310, 519, 11460, 540, 17127, 781, 1153, 563, 6097, 547, 513, 2951, 4084, 676, 26056, 8895, 11017, 538, 476, 5197, 280, 267, 891, 5656, 3769, 513, 968, 1804, 7406, 25778, 3101, 2777, 543, 1896, 4130, 3283, 585, 3885, 1107, 3636, 543, 4411, 31725, 543, 513, 3915, 328, 731, 4055, 1547, 892, 769, 476, 9264, 275, 267, 16170, 5112, 25951, 729, 688, 6150, 607, 519, 968, 8053, 335, 601, 1512, 540, 3013, 9232, 538, 513, 6241, 538, 519, 5147, 7160, 540, 519, 2817, 30657, 8291, 1299, 7732, 19193, 267, 799, 7074, 609, 17192, 519, 7297, 267, 22581, 267, 2238, 267, 1426, 543, 9174, 563, 6097, 547, 519, 1715, 3840, 5398, 7732, 267, 519, 1101, 3312, 5641, 17581, 267, 513, 1305, 540, 8964, 6592, 676, 519, 5641, 540, 634, 595, 2784, 548, 4024, 9412, 267, 676, 16205, 2349, 6308, 7322, 267, 729, 5950, 538, 476, 4350, 279, 593, 8535, 2761, 563, 6097, 547, 513, 5619, 5342, 676, 519, 3883, 6361, 7308, 5336, 517, 628, 11833, 543, 519, 7732, 540, 6837, 267, 2494, 781, 9612, 1280, 12791, 12851, 547, 513, 1592, 540, 834, 519, 4557, 1034, 9565, 2835, 538, 519, 2136, 2276, 563, 6097, 547, 519, 595, 7034, 5240, 7732, 543, 2707, 9995, 344, 2637, 601, 3780, 630, 21470, 5518, 267, 595, 7034, 5240, 18058, 16532, 519, 834, 595, 7034, 4634, 532, 5240, 834, 729, 519, 1982, 2140, 585, 1312, 14349, 543, 10732, 10543, 13739, 338, 563, 6097, 547, 519, 16528, 13751, 3493, 21627, 2920, 21101, 540, 9102, 1570, 1590, 6494, 835, 5299, 540, 1169, 1843, 547, 519, 2817, 7732, 543, 3670, 824, 1382, 8021, 269, 0, 20082, 1765, 27511, 594, 297, 306, 2207, 454, 329, 1177, 610, 547, 24327, 8302, 5161, 540, 513, 1305, 540, 7299, 28287, 267, 835, 10265, 1373, 6378, 543, 519, 824, 1373, 6410, 1394, 543, 8521, 3448, 547, 621, 676, 513, 4342, 610, 8486, 2006, 7271, 563, 2108, 20663, 589, 3660, 5071, 540, 26836, 8302, 7536, 1692, 2462, 568, 513, 10265, 8302, 888, 629, 5724, 540, 10265, 8302, 454, 20082, 910, 26836, 19854, 616, 5230, 543, 3500, 3432, 3684, 799, 616, 1031, 547, 5786, 540, 1804, 9424, 540, 17571, 883, 4130, 9325, 634, 2773, 540, 10265, 8302, 568, 5631, 5462, 676, 519, 11493, 4390, 609, 2463, 547, 1379, 4616, 1282, 519, 11493, 1184, 2483, 297, 1177, 19783, 910, 606, 7650, 1923, 3163, 17445, 11762, 454, 297, 1177, 8302, 281, 634, 1570, 568, 16760, 1063, 513, 6378, 10265, 543, 513, 5985, 10265, 269, 634, 3049, 568, 16271, 547, 7368, 2604, 607, 621, 10596, 1524, 2072, 543, 568, 24482, 4389, 538, 2450, 2394, 621, 568, 1507, 2614, 547, 1780, 856, 540, 519, 11493, 12068, 269, 901, 8302, 7472, 1447, 22717, 855, 519, 27960, 723, 513, 811, 28608, 1106, 563, 4785, 278, 8618, 3393, 278, 274, 289, 272, 910, 26836, 8302, 910, 5616, 4793, 757, 454, 288, 10265, 8302, 2882, 513, 3684, 609, 513, 3001, 3490, 267, 513, 6378, 3490, 267, 513, 24807, 2951, 14577, 7271, 585, 22141, 958, 23993, 519, 1283, 540, 513, 24807, 2951, 14577, 3490, 547, 519, 3684, 676, 606, 26137, 19492, 557, 267, 543, 606, 13128, 24807, 7934, 14577, 7271, 269, 589, 547, 24327, 6676, 568, 8704, 1063, 519, 24807, 2951, 14577, 3490, 543, 519, 3001, 3490, 563, 1805, 821, 19783, 17593, 1923, 19783, 24759, 267, 595, 821, 19783, 267, 26836, 4429, 629, 5724, 540, 11493, 1210, 513, 10265, 8302, 543, 5102, 591, 6500, 19783, 267, 297, 1177, 8302, 267, 302, 516, 6149, 8302, 2030, 1107, 1929, 532, 17719, 11493, 2560, 1929, 532, 568, 835, 540, 519, 7887, 6149, 8302, 10672, 538, 3624, 269, 519, 2754, 729, 8547, 6693, 4785, 1220, 3445, 273, 277, 1556, 6434, 288, 272, 910, 17029, 2401, 26836, 19783, 3590, 1656, 6396, 4429, 288, 16945, 10265, 8302, 1062, 1519, 606, 28608, 16945, 602, 29226, 7363, 827, 513, 4099, 7852, 267, 543, 513, 1940, 762, 8840, 6676, 27358, 547, 5581, 513, 7930, 4130, 7934, 1063, 519, 8840, 2483, 1432, 1772, 17593, 2986, 26836, 19783, 454, 20082, 10265, 8302, 7493, 585, 7344, 17646, 8302, 910, 6267, 659, 611, 5519, 7493, 10265, 8302, 568, 513, 2186, 540, 519, 5266, 1007, 7623, 28764, 10265, 8302, 267, 621, 814, 1079, 11493, 12068, 543, 814, 606, 30141, 1835, 1678, 4224, 518, 7271, 1451, 811, 17712, 2350, 1862, 2859, 19672, 454, 20082, 2986, 12942, 9197, 5241, 10724, 454, 20082, 585, 7344, 17646, 8302, 269, 17593, 10265, 8302, 568, 513, 2186, 540, 20146, 5786, 3684, 799, 568, 4922, 1031, 538, 519, 621, 568, 2653, 547, 1265, 519, 4154, 7626, 5599, 2030, 3684, 2324, 593, 519, 7626, 533, 928, 9964, 8302, 7493, 678, 329, 1186, 514, 11493, 3937, 890, 10265, 8302, 890, 342, 10265, 8302, 533, 325, 342, 1764, 3483, 540, 7344, 17646, 8302, 3684, 3483, 540, 7344, 533, 928, 9964, 563, 20082, 1280, 20996, 570, 514, 19783, 910, 26836, 19783, 1923, 31434, 4429, 20082, 1280, 26836, 19783, 3115, 26147, 675, 937, 668, 523, 4526, 2041, 269, 17593, 827, 10265, 8302, 10265, 8302, 5599, 11493, 269, 808, 5819, 297, 1177, 19783, 297, 1177, 19783, 1280, 22312, 297, 1177, 19783, 634, 808, 302, 312, 3201, 26836, 19783, 568, 4922, 1031, 538, 5599, 2679, 2326, 3114, 2872, 12669, 21395, 543, 865, 593, 634, 26836, 19783, 568, 5078, 585, 3119, 543, 6281, 11493, 782, 5686, 540, 6886, 543, 7725, 609, 735, 4809, 4222, 1447, 982, 476, 17168, 4429, 1432, 568, 513, 26836, 19783, 286, 1923, 570, 1564, 19431, 454, 297, 1177, 19854, 616, 1419, 11280, 676, 519, 2450, 540, 519, 1283, 6679, 1141, 1570, 13788, 269, 634, 23761, 4043, 547, 581, 2901, 14328, 610, 4009, 543, 616, 26518, 538, 6279, 269, 1280, 1383, 267, 513, 476, 27844, 275, 610, 476, 3953, 9943, 4510, 10265, 8302, 814, 513, 476, 3953, 892, 676, 476, 4510, 892, 6679, 267, 476, 3953, 892, 1373, 519, 7934, 693, 519, 1283, 1063, 519, 10265, 10523, 543, 476, 4510, 892, 1373, 519, 8700, 1063, 519, 2427, 10824, 563, 297, 1177, 12724, 1667, 910, 19294, 25605, 9197, 5241, 1299, 30587, 12518, 454, 4041, 4696, 2207, 5442, 623, 6020, 300, 14473, 29273, 310, 10911, 4785, 295, 8991, 269, 634, 10265, 8302, 568, 835, 540, 519, 1034, 16832, 543, 9053, 6191, 1317, 540, 922, 2773, 543, 15006, 269, 13689, 593, 2030, 11768, 267, 10265, 19783, 666, 581, 3812, 593, 14743, 267, 1236, 573, 2173, 870, 539, 610, 6378, 547, 519, 6405, 13210, 563, 297, 1177, 12724, 1667, 1923, 32511, 534, 25301, 454, 297, 1177, 12724, 1667, 616, 21092, 676, 519, 1283, 6679, 540, 519, 11493, 12068, 269, 1280, 1383, 267, 513, 476, 3953, 1535, 476, 7918, 26836, 19783, 3800, 476, 3953, 257, 689, 10265, 5884, 547, 10265, 5884, 693, 519, 1283, 6679, 610, 575, 1901, 6679, 543, 476, 7918, 892, 2066, 519, 8700, 540, 519, 1079, 10265, 10523, 269, 634, 7522, 518, 5377, 6679, 540, 519, 11493, 12068, 568, 1031, 547, 2450, 519, 11166, 1570, 563, 290, 944, 26836, 19783, 910, 13334, 454, 13425, 856, 713, 10265, 8302, 538, 2962, 454, 290, 6350, 615, 910, 9504, 454, 288, 10265, 610, 547, 24327, 8302, 5161, 540, 513, 1305, 540, 7299, 28287, 267, 835, 10265, 568, 6854, 19335, 543, 568, 1572, 513, 6378, 10265, 1247, 519, 824, 10265, 1572, 513, 18711, 10265, 267, 7575, 1394, 543, 8521, 3448, 547, 621, 267, 676, 513, 4342, 610, 8486, 2006, 7271, 267, 9117, 899, 513, 1362, 4083, 11573, 610, 513, 2428, 28755, 14982, 269, 634, 4320, 610, 13570, 1063, 519, 1079, 28287, 568, 1572, 519, 11493, 12068, 563, 297, 1177, 19783, 910, 3163, 17445, 454, 13202, 476, 4905, 267, 476, 1001, 277, 5788, 634, 10265, 8302, 568, 5097, 513, 13496, 8302, 267, 1247, 519, 1866, 7500, 5097, 676, 519, 3498, 540, 1764, 269, 476, 275, 269, 273, 269, 5071, 540, 26836, 12724, 1667, 269, 26836, 19854, 616, 2966, 547, 18836, 606, 1764, 593, 513, 4224, 9325, 5116, 1063, 513, 6378, 543, 513, 3001, 6676, 630, 329, 1177, 1040, 634, 8188, 540, 519, 10824, 616, 1500, 540, 2182, 2989, 5374, 563, 22479, 659, 885, 543, 2773, 4162, 540, 10265, 19854, 454, 30726, 2524, 540, 10265, 19854, 590, 10611, 2529, 269, 590, 770, 686, 17593, 910, 1635, 721, 538, 317, 519, 1239, 540, 661, 6993, 269, 670, 619, 322, 6447, 3768, 674, 5861, 269, 20607, 781, 1226, 1081, 585, 679, 601, 3766, 344, 524, 269, 976, 1248, 3064, 582, 278, 538, 1474, 2381, 1081, 267, 513, 1505, 530, 297, 553, 2919, 547, 2588, 2741, 337, 569, 345, 335, 519, 533, 349, 339, 281, 25206, 264, 31014, 333, 766, 540, 967, 337, 3464, 268, 4693, 795, 7159, 286, 524, 25722, 30994, 2867, 4732, 269, 634, 588, 272, 6113, 18192, 15524, 349, 341, 323, 602, 4853, 795, 13062, 342, 678, 25331, 331, 3464, 1667, 579, 272, 4318, 1024, 564, 268, 958, 1566, 564, 269, 3176, 646, 869, 524, 269, 340, 1440, 21683, 269, 640, 563, 303, 754, 4918, 10265, 8302, 910, 2910, 3918, 454, 20082, 269, 901, 4487, 5098, 9388, 609, 7293, 1374, 540, 28764, 585, 2582, 547, 24327, 10265, 8302, 9823, 476, 8099, 343, 3583, 543, 5161, 540, 1896, 1292, 2694, 269, 634, 1101, 851, 6212, 593, 519, 4393, 540, 7777, 2326, 267, 2523, 593, 519, 1184, 540, 7344, 4608, 537, 7204, 563, 322, 6350, 615, 6609, 7493, 454, 297, 288, 310, 10911, 4785, 295, 2207, 269, 26836, 19783, 568, 513, 2186, 540, 12942, 8302, 267, 543, 10265, 8302, 568, 849, 1572, 9412, 8302, 269, 2859, 1344, 9890, 454, 297, 1177, 12724, 1667, 910, 803, 330, 698, 331, 2128, 2593, 454, 297, 1177, 12724, 1667, 631, 297, 476, 3445, 267, 631, 297, 476, 8099, 543, 631, 297, 476, 9873, 14502, 10410, 2305, 26836, 12724, 1667, 2569, 1804, 2450, 7725, 610, 7626, 676, 11093, 519, 4224, 883, 13496, 269, 901, 7344, 2604, 568, 6913, 676, 519, 1079, 28287, 540, 519, 8302, 540, 799, 835, 568, 6378, 1247, 519, 824, 25262, 919, 269, 1703, 616, 849, 3119, 543, 6281, 2010, 540, 10265, 19854, 269, 0, 1607, 3018, 649, 616, 3695, 519, 6249, 540, 4222, 563, 8072, 296, 1419, 1279, 585, 596, 269, 594, 1058, 2648, 547, 1294, 596, 269, 594, 1810, 1406, 917, 950, 594, 4927, 1294, 596, 1586, 855, 594, 798, 4126, 621, 786, 581, 1360, 4166, 20371, 763, 4484, 2630, 729, 2366, 676, 670, 564, 1399, 547, 1200, 6653, 24711 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 533, 815, 544, 341, 267, 519, 9588, 540, 700, 568, 2433, 3040, 1141, 19569, 355, 568, 519, 5086, 1063, 678, 543, 533, 269, 3040, 700, 815, 476, 271, 950, 678, 568, 6252, 547, 533, 630, 22933, 355, 815, 476, 271, 610, 476, 5197, 334, 1040, 3040, 769, 824, 1913, 267, 950, 519, 5276, 6991, 540, 519, 9325, 568, 2059, 513, 1899, 602, 10596, 998, 519, 5169, 267, 519, 9325, 814, 4642, 16070, 11610, 609, 2463, 547, 519, 5169, 269, 3040, 700, 815, 544, 31918, 950, 678, 568, 13902, 547, 533, 630, 22933, 355, 815, 476, 3445, 334, 1040, 3040, 2311, 602, 8216, 267, 519, 9325, 7575, 4010, 607, 952, 621, 941, 593, 519, 26079, 540, 513, 8868, 15914, 827, 519, 5169, 538, 513, 7077, 3989, 676, 678, 543, 533, 269, 3040, 8776, 4302, 3040, 12430, 5163, 1107, 519, 2121, 3196, 593, 513, 9325, 11224, 519, 942, 2557, 540, 1689, 540, 922, 5276, 11610, 267, 17986, 354, 293, 815, 31185, 1315, 24303, 630, 292, 336, 269, 630, 280, 269, 274, 1040, 3040, 15585, 1049, 5163, 1107, 519, 2121, 18165, 9117, 593, 513, 9325, 11224, 519, 942, 2557, 540, 1689, 540, 922, 16070, 11610, 269, 3040, 1677, 1397, 713, 1107, 519, 2121, 18165, 593, 519, 9325, 23241, 1428, 269, 630, 1556, 269, 1240, 264, 630, 1556, 269, 866, 264, 3040, 7756, 5573, 17817, 630, 1556, 269, 276, 264, 609, 2463, 547, 942, 267, 1210, 519, 4341, 2016, 676, 17817, 630, 1556, 269, 273, 264, 2433, 3040, 634, 2063, 2165, 593, 519, 1318, 538, 519, 1657, 3830, 568, 4642, 1317, 642, 815, 1743, 1315, 19049, 568, 6252, 547, 533, 815, 544, 341, 630, 27393, 1399, 476, 273, 540, 519, 6152, 1587, 1040, 3040, 4475, 267, 3040, 24951, 12307, 630, 1556, 269, 1704, 264, 543, 630, 1556, 269, 1240, 264, 2433, 3040, 11872, 1107, 17817, 630, 1556, 269, 866, 264, 568, 4570, 1152, 952, 2433, 3040, 630, 272, 264, 17986, 354, 22933, 368, 543, 700, 616, 6027, 827, 519, 1482, 5169, 267, 3040, 630, 273, 264, 519, 4082, 568, 4570, 585, 1022, 5169, 6378, 538, 606, 16931, 658, 7406, 269, 11352, 1590, 581, 12873, 2433, 589, 2473, 645, 815, 910, 645, 2473, 589, 634, 2121, 18165, 9117, 593, 513, 9325, 568, 3160, 547, 519, 942, 2557, 540, 1689, 540, 519, 9325, 779, 16070, 11610, 692, 1626, 269, 4911, 983, 28850, 636, 540, 513, 3590, 540, 3487, 2873, 3040, 634, 2698, 16070, 11610, 540, 513, 1062, 540, 5536, 827, 930, 2798, 568, 3989, 607, 519, 6152, 2040, 540, 519, 16070, 4090, 320, 540, 519, 1367, 5536, 2433, 3040, 1141, 519, 6152, 2040, 568, 936, 782, 562, 5536, 538, 519, 1062, 269, 3040, 10572, 16070, 4090, 320, 666, 1689, 609, 942, 267, 865, 666, 519, 2698, 16070, 11610, 269, 3040, 3245, 17817, 630, 1556, 269, 1240, 264, 543, 630, 1556, 269, 866, 264, 1107, 649, 1265, 602, 519, 942, 2557, 540, 1689, 540, 519, 2698, 16070, 11610, 11224, 519, 6152, 2040, 540, 782, 8731, 13196, 9117, 593, 519, 1062, 2433, 4835, 4229, 1063, 5536, 543, 5007, 4229, 269, 3040, 634, 2121, 18165, 2404, 609, 782, 4835, 4229, 568, 4642, 269, 3040, 13053, 779, 3791, 1876, 2433, 4835, 4229, 1063, 5536, 540, 519, 1062, 616, 3160, 538, 9588, 543, 6587, 538, 4287, 269, 3040, 1452, 4229, 9114, 2059, 519, 1899, 540, 9668, 540, 1142, 6292, 540, 5536, 1107, 519, 18165, 1813, 547, 1142, 2962, 3146, 9146, 3196, 6292, 568, 4642, 269, 3040, 2334, 568, 267, 519, 544, 2210, 333, 6186, 546, 689, 744, 547, 519, 1899, 540, 2962, 540, 519, 4229, 568, 3160, 585, 1312, 5536, 269, 3040, 769, 519, 14805, 566, 1107, 519, 4835, 18165, 8709, 8460, 780, 1704, 269, 630, 1556, 269, 736, 264, 586, 642, 544, 678, 1535, 744, 3040, 10390, 1107, 519, 2698, 16070, 11610, 540, 513, 1062, 666, 4268, 609, 942, 1152, 952, 513, 2121, 5007, 18165, 568, 9117, 593, 519, 1062, 2433, 3040, 2334, 568, 2433, 519, 942, 2557, 540, 1689, 540, 519, 2698, 16070, 11610, 540, 513, 1062, 827, 930, 5169, 538, 606, 16931, 658, 7406, 11224, 519, 2121, 5007, 18165, 9117, 593, 519, 1062, 827, 602, 5169, 269, 3040, 8074, 910, 17817, 630, 1556, 269, 736, 264, 568, 519, 24364, 12746, 540, 17817, 630, 280, 269, 4343, 1070, 17986, 354, 293, 2169, 815, 31185, 1315, 24303, 2073, 585, 513, 1062, 540, 5536, 269, 7151, 630, 1556, 269, 275, 264, 2433, 8562, 983, 18289, 589, 9325, 7575, 538, 519, 27976, 7077, 538, 513, 9764, 2619, 540, 8953, 678, 630, 8201, 630, 1556, 269, 1556, 1040, 630, 320, 264, 4855, 519, 9588, 543, 4287, 540, 922, 16070, 11610, 3448, 547, 744, 950, 922, 5276, 6991, 568, 642, 269, 630, 321, 264, 4855, 519, 9588, 543, 4287, 540, 700, 538, 2474, 540, 519, 9325, 779, 16070, 3432, 19569, 371, 269, 7612, 630, 1556, 269, 1556, 2020, 1240, 269, 630, 1556, 269, 13301, 264, 630, 1556, 269, 2918, 264, 3040, 476, 1556, 269, 276, 264, 11094, 540, 4911, 983, 28850, 636, 3040, 11094, 1876, 538, 24364, 5163, 2433, 3040, 3245, 17817, 630, 1556, 269, 736, 264, 2433, 3040, 3973, 2433, 700, 815, 3586, 630, 1556, 269, 1839, 264, 3040, 1280, 513, 1062, 540, 5536, 1107, 519, 5726, 1876, 568, 17986, 354, 700, 333, 815, 3586, 267, 1141, 519, 4994, 562, 18575, 519, 32671, 9325, 538, 519, 1062, 269, 3040, 1403, 519, 2527, 540, 606, 1843, 25457, 23799, 9084, 538, 930, 1259, 25104, 362, 519, 1843, 779, 4090, 540, 24880, 2242, 25104, 362, 922, 16070, 3432, 1689, 1317, 700, 815, 594, 19569, 371, 269, 3040, 634, 5726, 540, 16070, 11610, 568, 6829, 538, 519, 1106, 2433, 3040, 1403, 519, 1062, 568, 606, 1843, 15914, 827, 513, 6378, 7852, 267, 971, 607, 519, 1990, 7852, 2433, 700, 345, 815, 594, 19569, 371, 3040, 1141, 700, 345, 568, 519, 5057, 540, 700, 2059, 519, 7852, 540, 10047, 543, 594, 568, 519, 4090, 540, 24880, 827, 713, 7852, 269, 634, 2698, 16070, 11610, 540, 513, 1062, 568, 3586, 538, 1312, 9588, 543, 4287, 952, 519, 25739, 5007, 18165, 9117, 593, 519, 1062, 568, 4642, 780, 866, 269, 769, 713, 2013, 1107, 519, 5726, 540, 16070, 11610, 568, 2433, 3040, 14497, 7282, 519, 16070, 11610, 540, 606, 1843, 3448, 547, 519, 1843, 779, 4099, 540, 2527, 2433, 3040, 901, 11532, 10039, 1256, 952, 519, 4099, 540, 2527, 568, 23960, 267, 3177, 19569, 368, 543, 700, 616, 11117, 3448, 547, 519, 4099, 540, 2527, 269, 3040, 769, 17817, 630, 1556, 269, 2918, 264, 1107, 3791, 5726, 1876, 547, 1039, 269, 3040, 634, 1648, 267, 5276, 11610, 267, 543, 16070, 11610, 540, 606, 9678, 1062, 782, 2611, 3586, 2433, 630, 1556, 269, 2767, 264, 901, 4082, 568, 4570, 1312, 585, 10047, 827, 513, 6378, 7852, 543, 585, 10047, 827, 606, 7852, 998, 519, 4099, 540, 2527, 540, 513, 3001, 1062, 607, 1279, 607, 602, 7852, 3788, 6252, 547, 3294, 269, 634, 2121, 5007, 18165, 568, 4642, 634, 25739, 18165, 9117, 593, 606, 1843, 827, 606, 7852, 998, 519, 4099, 540, 2527, 11224, 519, 942, 2557, 540, 1689, 540, 16070, 11610, 7488, 540, 519, 5163, 540, 519, 4099, 540, 2527, 269, 14039, 815, 533, 325, 1280, 606, 9678, 1062, 9149, 815, 700, 325, 692, 736, 269, 544, 631, 681, 7151, 630, 1556, 269, 280, 264, 2433, 634, 8585, 787, 268, 7883, 7304, 895, 589, 8880, 3760, 538, 519, 3337, 540, 513, 9764, 12210, 29226, 538, 513, 8880, 7077, 827, 513, 11508, 1652, 7299, 4949, 548, 630, 8201, 630, 1556, 269, 1626, 26895, 634, 3760, 814, 513, 2527, 631, 815, 476, 1911, 4846, 543, 513, 8953, 681, 815, 476, 273, 269, 271, 544, 269, 589, 2875, 4171, 2527, 568, 544, 815, 476, 2568, 4846, 15211, 7444, 689, 519, 26079, 540, 519, 12210, 4724, 922, 4099, 269, 1403, 519, 16070, 3432, 540, 519, 1062, 568, 476, 273, 269, 271, 2234, 4882, 950, 519, 2875, 568, 693, 519, 26079, 267, 1018, 568, 519, 16070, 3432, 950, 646, 814, 6603, 513, 1448, 678, 815, 476, 271, 269, 2004, 544, 689, 519, 4099, 286, 7612, 630, 1556, 269, 1626, 2020, 2641, 269, 7151, 630, 1556, 269, 1015, 264, 2433, 634, 1975, 15619, 645, 5390, 2193, 24747, 769, 513, 5172, 4928, 17431, 267, 513, 2875, 6585, 519, 4949, 548, 540, 513, 18343, 17919, 8868, 1247, 27206, 593, 513, 22454, 602, 568, 1863, 547, 17967, 630, 8201, 630, 1556, 269, 1704, 1040, 634, 2875, 543, 22454, 616, 7620, 693, 1964, 1247, 519, 8868, 568, 18343, 538, 513, 8880, 7077, 609, 606, 3355, 16070, 11610, 9149, 602, 2798, 16057, 269, 1879, 519, 8868, 568, 30141, 827, 922, 4099, 676, 476, 5197, 334, 267, 519, 2875, 543, 22454, 1376, 15914, 269, 769, 2474, 540, 9149, 267, 1018, 616, 519, 9588, 543, 519, 4287, 540, 700, 585, 519, 2875, 7132, 22454, 2496, 2420, 269, 2991, 6969, 642, 10972, 815, 476, 274, 269, 271, 544, 4882, 642, 4206, 476, 273, 269, 271, 544, 19569, 371, 5288, 7151, 630, 1556, 269, 1556, 264, 2433, 2598, 330, 543, 25529, 589, 476, 273, 269, 271, 10275, 326, 12210, 10707, 693, 476, 274, 269, 271, 544, 4882, 16716, 513, 476, 272, 269, 271, 10275, 326, 6529, 602, 568, 14084, 6366, 593, 5176, 11508, 1652, 4672, 630, 8201, 630, 1556, 269, 1240, 1040, 27539, 602, 519, 16580, 568, 13412, 269, 4855, 519, 6037, 1049, 3432, 540, 519, 12210, 267, 519, 6037, 1049, 3432, 540, 519, 6529, 267, 543, 519, 24364, 3432, 540, 519, 6529, 1310, 519, 16580, 269, 634, 4090, 540, 24880, 540, 519, 6529, 827, 922, 4099, 540, 2527, 568, 476, 272, 269, 3451, 4846, 6440, 332, 273, 269, 7612, 630, 1556, 269, 1240, 264, 0, 258, 28217, 9654, 302, 4785, 962, 292, 2752, 6673, 2316, 307, 11070, 292, 32530, 16739, 11123, 9399, 290, 595, 21923, 692, 2162, 28217, 9654, 302, 4785, 962, 292, 2752, 6673, 2316, 307, 11070, 292, 32530, 16739, 11123, 9399, 290, 595, 21923, 476, 1109, 303, 11286, 273, 692, 9223, 476, 272, 269, 589, 10958, 3126, 540, 476, 1428, 9077, 476, 736, 260, 543, 476, 1839, 260, 568, 3160, 547, 519, 2582, 10958, 540, 2496, 272, 264, 476, 4366, 30515, 273, 264, 476, 5392, 30515, 274, 264, 476, 2004, 30515, 275, 264, 476, 7906, 30515, 9223, 476, 273, 10611, 338, 269, 476, 275, 3445, 568, 5258, 1851, 589, 267, 645, 543, 595, 971, 602, 589, 779, 2671, 568, 3368, 602, 540, 645, 779, 543, 4278, 823, 602, 540, 595, 779, 269, 1548, 568, 595, 779, 2671, 2496, 272, 264, 12652, 269, 5392, 692, 273, 264, 12652, 269, 15704, 692, 274, 264, 12652, 269, 29848, 692, 275, 264, 12652, 269, 25090, 692, 9223, 476, 274, 6993, 31066, 4421, 606, 2376, 693, 476, 277, 260, 2530, 269, 16874, 646, 4421, 621, 585, 12652, 269, 476, 5038, 811, 267, 646, 1131, 723, 1500, 513, 7443, 540, 476, 1015, 10065, 3973, 519, 1942, 540, 519, 2376, 568, 692, 272, 264, 12652, 269, 6110, 692, 273, 264, 12652, 269, 1220, 692, 274, 264, 12652, 269, 13932, 692, 275, 264, 12652, 269, 275, 5038, 692, 9223, 476, 275, 269, 2467, 616, 476, 9610, 271, 1053, 538, 513, 1153, 267, 476, 1839, 260, 540, 1346, 5957, 4715, 8163, 543, 476, 273, 270, 278, 540, 1346, 9849, 4715, 8163, 616, 8695, 269, 1215, 1082, 6690, 538, 519, 1153, 5957, 4715, 8163, 2496, 272, 264, 476, 7742, 692, 273, 264, 476, 1911, 692, 274, 264, 476, 1220, 692, 275, 264, 476, 4968, 692, 9223, 476, 276, 6993, 812, 666, 4737, 25318, 693, 476, 1321, 5998, 10774, 337, 543, 19654, 693, 476, 1240, 5998, 10774, 337, 269, 634, 812, 779, 4737, 532, 3432, 538, 1869, 4248, 568, 692, 272, 264, 476, 1428, 5998, 10774, 337, 692, 273, 264, 476, 276, 5998, 10774, 337, 692, 274, 264, 476, 274, 5998, 10774, 337, 692, 275, 264, 476, 1015, 5998, 10774, 337, 692, 9223, 476, 277, 7868, 1871, 540, 630, 1091, 266, 339, 383, 371, 546, 338, 264, 21680, 24303, 1131, 581, 692, 272, 264, 546, 273, 4433, 266, 339, 2020, 273, 264, 476, 272, 692, 274, 264, 476, 271, 692, 275, 264, 546, 338, 2389, 692, 9223, 476, 278, 10422, 6372, 3800, 540, 1614, 7285, 540, 513, 6906, 616, 692, 272, 264, 476, 3451, 4113, 267, 476, 5655, 4113, 267, 476, 12893, 4113, 692, 273, 264, 476, 2412, 4113, 267, 476, 3583, 4113, 267, 476, 3199, 4113, 692, 274, 264, 476, 1789, 4113, 267, 476, 2568, 4113, 267, 476, 1911, 4113, 692, 275, 264, 476, 2004, 4113, 267, 476, 2568, 4113, 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 ]
[ 8257, 10986, 786, 1683, 596, 609, 13711, 10297, 267, 799, 21656, 13381, 1216, 267, 543, 799, 2161, 968, 2710, 711, 4235, 5608, 607, 513, 9963, 602, 621, 568, 711, 6704, 1216, 563, 4322, 10297, 1590, 581, 3413, 12089, 547, 1142, 540, 519, 11149, 538, 799, 519, 13381, 4677, 1216, 786, 581, 5645, 563, 763, 667, 310, 303, 814, 5227, 602, 11149, 1031, 547, 3560, 13381, 1216, 581, 9395, 2000, 1342, 539, 563, 1103, 713, 5769, 2232, 596, 666, 1265, 519, 4025, 538, 11968, 13353, 1141, 789, 6133, 2011, 31259, 11149, 543, 519, 2010, 610, 3631, 789, 6133, 269, 8409, 5461, 666, 1289, 1346, 21527, 585, 811, 1344, 267, 3787, 269, 569, 270, 274, 322, 309, 289, 13052, 333, 454, 3725, 7094, 539, 1216, 585, 11968, 13353, 568, 835, 540, 26302, 25661, 31899, 779, 1034, 16529, 4566, 563, 1103, 3735, 476, 1001, 280, 267, 519, 26302, 3459, 547, 10244, 1216, 9657, 538, 513, 1259, 602, 568, 6069, 547, 581, 476, 1911, 2600, 1216, 9657, 676, 476, 10711, 276, 563, 2108, 16655, 30093, 11968, 13353, 779, 9657, 4390, 786, 2333, 519, 2179, 540, 1216, 649, 1205, 12725, 543, 948, 2327, 602, 19664, 523, 657, 666, 1293, 593, 1569, 547, 2973, 1216, 585, 5481, 547, 2097, 2223, 519, 25650, 1767, 693, 519, 942, 269, 0, 763, 1297, 540, 5950, 3165, 568, 2810, 2059, 519, 3162, 9533, 5032, 543, 5355, 519, 1344, 593, 891, 3165, 568, 2565, 547, 1434, 2359, 269, 15394, 267, 1239, 568, 6394, 2901, 693, 2703, 802, 610, 24319, 616, 2366, 856, 547, 7747, 3165, 593, 519, 1216, 267, 855, 891, 616, 791, 24411, 10386, 2409, 585, 713, 1382, 269, 18299, 523, 3744, 689, 519, 10068, 2146, 616, 2877, 547, 948, 5531, 1344, 593, 5950, 13719, 1216, 1423, 704, 630, 14937, 267, 717, 698, 267, 14117, 21129, 267, 2480, 2086, 267, 14117, 17625, 267, 4414, 267, 9412, 13130, 267, 4414, 13130, 267, 595, 2292, 267, 543, 3400, 903, 2421, 264, 543, 4414, 10965, 1952, 518, 563, 6347, 293, 10157, 24793, 568, 24428, 593, 519, 1863, 5985, 813, 2233, 293, 880, 269, 901, 813, 568, 513, 1907, 29940, 666, 946, 547, 1683, 2565, 1239, 593, 519, 3165, 789, 5305, 267, 971, 607, 3259, 267, 3178, 540, 5305, 267, 4767, 16356, 32456, 267, 543, 519, 946, 540, 3046, 582, 571, 6373, 5786, 2645, 899, 27312, 3457, 563, 2026, 811, 29940, 7119, 543, 811, 1239, 616, 10356, 267, 519, 1344, 6394, 998, 14408, 293, 10157, 24793, 786, 948, 7110, 4540, 1239, 2959, 543, 666, 948, 1217, 6006, 10526, 543, 2359, 269, 0, 293, 3306, 569, 13268, 539, 281, 1452, 5452, 616, 14095, 585, 519, 1699, 3395, 4005, 543, 786, 1683, 1164, 23286, 3928, 1985, 1032, 607, 1134, 563, 7093, 26606, 13268, 1645, 281, 2353, 5452, 689, 634, 6196, 10787, 1067, 779, 1325, 2006, 659, 616, 26437, 538, 14350, 18908, 1194, 21168, 4998, 585, 13344, 267, 4859, 610, 7525, 946, 269, 3962, 17142, 10525, 519, 8768, 267, 10448, 267, 2030, 610, 10786, 3099, 593, 519, 4395, 609, 5528, 543, 2030, 5013, 593, 519, 1394, 563, 11321, 580, 9529, 616, 14463, 543, 2653, 547, 1332, 952, 2016, 14246, 543, 7509, 269, 1358, 2811, 6126, 16280, 610, 856, 538, 513, 2647, 3099, 540, 5468, 269, 590, 578, 13964, 1310, 519, 2063, 15470, 267, 610, 2253, 16280, 476, 277, 268, 279, 4374, 1991, 269, 7233, 476, 273, 268, 274, 5452, 1927, 538, 5848, 267, 1134, 1673, 11712, 3037, 269, 3057, 580, 9529, 4782, 2407, 3141, 543, 666, 20496, 10651, 12155, 547, 3002, 267, 10980, 543, 10036, 11934, 269, 4826, 1134, 693, 519, 3490, 540, 519, 2030, 267, 711, 689, 16841, 267, 543, 1450, 3037, 547, 3819, 10169, 1063, 1216, 902, 269, 4826, 811, 538, 1164, 3002, 563, 289, 5979, 4040, 5458, 256, 15434, 14982, 329, 871, 2371, 949, 2154, 2038, 7196, 1489, 952, 28480, 9843, 1332, 1932, 5230, 543, 2014, 2566, 547, 519, 2030, 563, 15761, 754, 519, 4005, 256, 3057, 580, 9529, 1810, 1405, 2154, 4666, 3650, 532, 282, 855, 8930, 4221, 1055, 12955, 32395, 786, 5000, 1007, 5810, 563, 310, 527, 1299, 27067, 281, 1280, 1296, 267, 6705, 723, 3769, 519, 1930, 1790, 3326, 3990, 3979, 2261, 580, 1245, 2048, 290, 571, 14982, 329, 871, 685, 538, 9269, 3049, 547, 1118, 4212, 586, 565, 802, 513, 18632, 5835, 269, 3367, 634, 6196, 10787, 1067, 781, 1325, 2006, 659, 3057, 580, 1245, 19663, 6651, 2336, 4467, 3966, 542, 31896, 281, 3057, 580, 9529, 1118, 1390, 13959, 2371, 585, 782, 10448, 10651, 1317, 789, 1065, 601, 30293, 1299, 22404, 563, 20055, 2659, 12518, 28202, 633, 609, 1284, 539, 6513, 281, 1284, 2644, 14526, 609, 5388, 267, 5810, 543, 824, 2371, 585, 1216, 267, 2230, 543, 5567, 269, 12315, 707, 2371, 741, 1655, 1272, 676, 5329, 18047, 896, 1852, 609, 17667, 1284, 539, 4446, 8175, 7433, 267, 22890, 610, 6297, 649, 5338, 563, 268, 910, 910, 910, 20620, 288, 5254, 7968, 5174, 312, 4149, 307, 7968, 30316, 22432, 9215, 670, 2752, 309, 2464, 16249, 30316, 22432, 9215, 670, 2752, 309, 2464, 16249, 27107, 5456, 5357, 291, 10323, 3633, 306, 454, 3080, 540, 519, 1655, 1919, 827, 3057, 580, 9529, 568, 875, 2653, 621, 568, 547, 7556, 741, 5452, 585, 2104, 946, 563, 4306, 7968, 476, 272, 281, 623, 6020, 3036, 9215, 670, 2752, 309, 2464, 16249, 267, 27107, 5456, 5357, 291, 19154, 302, 302, 5960, 631, 19851, 18688, 19010, 312, 454, 2005, 779, 1360, 1271, 547, 7556, 3057, 580, 1245, 5452, 693, 519, 1318, 942, 269, 20613, 1746, 1932, 1279, 1107, 950, 519, 18742, 616, 4625, 6960, 910, 666, 2014, 519, 5452, 547, 4358, 4232, 1154, 610, 6721, 9044, 282, 855, 5452, 19122, 1932, 2038, 1522, 711, 581, 15417, 269, 4643, 593, 16276, 5452, 950, 519, 3057, 580, 1245, 18742, 616, 3819, 693, 519, 3490, 543, 616, 1175, 4358, 547, 2490, 6960, 693, 519, 9133, 269, 1403, 519, 3490, 540, 519, 16036, 1869, 814, 513, 2370, 3787, 540, 3039, 267, 602, 779, 15528, 563, 2252, 707, 18742, 1413, 4712, 282, 3274, 4894, 1142, 835, 689, 922, 6565, 563, 4306, 7968, 476, 273, 281, 717, 7728, 14877, 20525, 2894, 661, 21815, 27107, 5456, 5357, 291, 10323, 3633, 623, 7495, 454, 22998, 593, 513, 6366, 2627, 282, 3180, 519, 3490, 540, 1142, 16036, 543, 4894, 519, 3762, 543, 24968, 269, 1452, 666, 581, 16207, 2476, 282, 649, 786, 711, 581, 16276, 713, 851, 269, 4495, 891, 723, 1044, 6569, 267, 1930, 909, 519, 10540, 543, 596, 786, 1294, 782, 540, 519, 2370, 5452, 3330, 7923, 547, 519, 3490, 269, 18734, 782, 540, 519, 1930, 10540, 338, 547, 513, 6676, 610, 513, 1957, 24621, 543, 1305, 11735, 563, 4306, 7968, 476, 274, 281, 31087, 10976, 292, 5990, 10323, 3633, 306, 454, 11321, 580, 1245, 5452, 616, 1279, 543, 6094, 282, 616, 4158, 593, 835, 2427, 543, 14402, 593, 519, 824, 563, 12648, 1142, 10540, 267, 543, 4894, 519, 5452, 689, 519, 3490, 676, 9900, 17444, 269, 4495, 782, 540, 519, 5452, 616, 6569, 689, 519, 10540, 338, 267, 3262, 873, 856, 593, 513, 1957, 24621, 543, 1167, 731, 519, 10540, 338, 563, 4306, 7968, 476, 275, 281, 19010, 312, 19010, 312, 19010, 312, 454, 1103, 1931, 547, 4558, 3057, 580, 1245, 5452, 543, 547, 2327, 789, 4465, 1406, 979, 3983, 267, 789, 991, 547, 581, 4625, 12015, 856, 269, 9255, 5452, 593, 606, 20114, 1957, 24621, 593, 513, 4831, 543, 1450, 547, 2011, 3819, 269, 1358, 1058, 581, 4712, 547, 581, 6740, 2476, 538, 827, 476, 278, 2395, 563, 4306, 7968, 476, 276, 281, 5254, 3036, 17803, 454, 5629, 707, 3057, 580, 1245, 5452, 616, 12015, 856, 1747, 873, 538, 513, 1957, 23508, 269, 7433, 568, 4998, 585, 4859, 607, 1210, 5068, 11435, 666, 1450, 519, 5452, 547, 11677, 7509, 799, 786, 6038, 1118, 519, 5452, 979, 3983, 269, 5213, 1406, 7340, 547, 6003, 1142, 23508, 952, 596, 1185, 2789, 8677, 540, 3057, 580, 9529, 865, 596, 917, 1018, 547, 2503, 1985, 4005, 269, 1452, 17158, 525, 1058, 581, 6740, 538, 513, 3579, 3819, 1747, 2394, 4712, 547, 581, 12630, 563, 2316, 303, 281, 1403, 596, 1185, 606, 11606, 540, 2261, 580, 1245, 5452, 282, 30164, 519, 17158, 525, 543, 2285, 930, 5452, 2476, 607, 13344, 2336, 6701, 2659, 25994, 6348, 8566, 19616, 286, 1548, 6496, 6348, 8566, 19616, 6399, 888, 15239, 8566, 19616, 1797, 5452, 630, 528, 824, 2472, 264, 602, 941, 3812, 1510, 4719, 4702, 543, 941, 711, 6508, 689, 10648, 11675, 630, 7049, 13443, 3525, 1881, 5029, 3359, 1040, 2353, 540, 938, 5452, 616, 1875, 8566, 19616, 563, 8489, 798, 2659, 25994, 22067, 3245, 888, 7197, 540, 519, 5452, 6035, 593, 938, 3135, 616, 7330, 18882, 5452, 21433, 689, 14468, 2475, 1759, 14273, 269, 1284, 798, 849, 2707, 513, 1507, 1297, 540, 5452, 689, 824, 2477, 269, 1677, 2070, 519, 1808, 5169, 540, 1022, 540, 938, 1699, 6079, 17008, 267, 2638, 519, 6079, 17142, 610, 1413, 538, 519, 16551, 585, 834, 15575, 787, 540, 18882, 257, 593, 1022, 1587, 2985, 563, 6701, 2659, 25994, 13268, 539, 585, 519, 7351, 19663, 17897, 888, 5472, 540, 938, 6079, 21168, 616, 14095, 585, 519, 1699, 3395, 4005, 269, 1403, 6740, 5265, 789, 786, 1683, 1164, 23286, 3928, 585, 476, 272, 268, 273, 3606, 1296, 607, 1134, 563, 1692, 2052, 594, 15188, 3733, 25994, 15822, 569, 585, 2422, 538, 519, 8892, 888, 5978, 5452, 786, 3622, 11677, 741, 1164, 23286, 3928, 585, 1896, 1296, 689, 519, 4266, 540, 6718, 269, 1403, 596, 2811, 4058, 593, 9494, 707, 5452, 585, 721, 538, 519, 2104, 267, 519, 1034, 1271, 3364, 547, 3314, 602, 5452, 899, 547, 581, 6740, 1141, 621, 568, 3579, 267, 3819, 543, 4158, 269, 634, 15864, 1259, 547, 2327, 713, 585, 1279, 2165, 4859, 693, 1753, 568, 547, 5595, 5498, 531, 707, 5452, 3330, 1079, 1990, 23124, 2511, 11435, 543, 1287, 1747, 873, 538, 519, 29606, 269, 630, 13014, 2386, 596, 6003, 707, 5452, 585, 2104, 4704, 952, 789, 2811, 711, 538, 3312, 11183, 4700, 1879, 596, 2811, 4712, 547, 2030, 707, 5452, 267, 1491, 1175, 519, 3283, 596, 1616, 547, 946, 856, 540, 519, 29606, 543, 1577, 873, 1694, 593, 513, 4831, 267, 538, 513, 4988, 8708, 267, 585, 513, 1906, 2395, 547, 555, 1177, 543, 24644, 1354, 1373, 12630, 269, 1677, 8190, 23286, 3928, 267, 7413, 2837, 267, 1769, 543, 11195, 15088, 676, 13936, 707, 5452, 693, 519, 1394, 540, 519, 29606, 543, 1152, 2921, 873, 856, 950, 596, 2811, 4712, 547, 946, 873, 563, 763, 13268, 720, 609, 1250, 25994, 538, 729, 19382, 31072, 538, 5131, 4506, 543, 5924, 14175, 344, 16661, 269, 4024, 519, 25994, 12846, 4518, 888, 2026, 1279, 607, 707, 5452, 723, 711, 20335, 6632, 789, 1058, 960, 5386, 269, 5131, 4506, 5210, 786, 711, 10413, 519, 5452, 563, 763, 6196, 10787, 1067, 781, 1325, 2006, 659, 20031, 1756, 3057, 580, 1245, 25994, 630, 290, 571, 14982, 329, 871, 17186, 994, 16085, 3975, 4032, 1475, 7343, 6918, 2954, 476, 6110, 25994, 2008, 19064, 17977, 585, 5729, 1475, 1708, 273, 910, 1452, 5452, 616, 14095, 585, 519, 1699, 3395, 4005, 543, 786, 1683, 1164, 23286, 3928, 1985, 1032, 607, 1134, 8198, 16085, 3975, 7392, 1475, 15239, 8566, 19616, 267, 20031, 1756, 267, 7046, 15724, 3990, 267, 27003, 2008, 347, 26773, 1465, 18630, 1475, 4785, 6395, 476, 273, 268, 1556, 2008, 347, 26199, 630, 31142, 264, 8745, 1475, 30357, 26347, 661, 5550, 320, 2008, 347, 8448, 630, 13349, 264, 18780, 1475, 28893, 3057, 580, 1245, 267, 1977, 3057, 580, 1245, 267, 25069, 322, 3057, 580, 1245, 2008, 347, 2691, 547, 7233, 1475, 306, 7428, 2008, 347, 5522, 13589, 3493, 628, 1475, 272, 270, 275, 769, 577, 2008, 347, 24456, 1975, 5217, 1475, 277, 268, 280, 769, 2583, 2008, 31340, 578, 1975, 5217, 1475, 1321, 268, 1240, 769, 2583, 2008, 347, 23409, 2776, 12401, 1475, 17359, 6129, 2008, 347, 3383, 559, 2776, 12401, 1475, 30182, 267, 7720, 626, 267, 4270, 667, 11712, 2008, 23277, 334, 626, 675, 2776, 12401, 1475, 12850, 1134, 693, 519, 3490, 540, 519, 2030, 267, 711, 689, 16841, 267, 543, 1450, 3037, 547, 3819, 10169, 1063, 1216, 902, 269, 4826, 811, 538, 1164, 3002, 8198, 347, 11742, 547, 2885, 1588, 1475, 278, 268, 1691, 17963, 2008, 347, 11742, 547, 4223, 12053, 1315, 28610, 1475, 6507, 268, 10019, 17963, 2008, 347, 294, 9512, 13206, 527, 1475, 289, 639, 1506, 772, 1440, 697, 2008, 347, 24456, 27551, 1475, 2190, 268, 3607, 769, 2583, 2008, 347, 24456, 24619, 1475, 277, 268, 1321, 769, 2583, 2008, 26180 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1691, 692, 343, 815, 476, 275, 692, 10831, 9038, 8385, 815, 476, 736, 692, 10831, 8951, 8385, 815, 476, 2764, 0, 258, 14572, 4645, 4834, 268, 853, 3089, 693, 519, 5595, 5086, 8468, 5055, 692, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 6187, 281, 6795, 6751, 454, 1723, 2120, 7666, 344, 454, 306, 6295, 4645, 4834, 268, 853, 3089, 693, 519, 5595, 5086, 8468, 5055, 454, 296, 1265, 621, 2182, 547, 1826, 519, 1966, 593, 519, 2780, 267, 865, 594, 3769, 513, 4605, 609, 513, 4063, 593, 1141, 594, 993, 12758, 269, 594, 917, 594, 666, 1405, 7941, 834, 272, 257, 676, 834, 7562, 273, 9064, 257, 547, 1205, 476, 1789, 5232, 267, 865, 594, 1810, 1405, 917, 1018, 547, 798, 1985, 269, 8729, 780, 10674, 2517, 19112, 19657, 582, 984, 3089, 564, 2593, 270, 531, 321, 4548, 23218, 277, 1862, 272, 18025, 6200, 23669, 272, 27970, 454, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5881, 281, 1428, 6751, 454, 297, 9655, 295, 297, 454, 7445, 6234, 5609, 630, 273, 24592, 264, 815, 476, 272, 14204, 7445, 6234, 1422, 2117, 7562, 630, 272, 264, 815, 476, 273, 24592, 14204, 7445, 6234, 1422, 2765, 11513, 2117, 7562, 630, 272, 20972, 273, 348, 815, 1422, 9064, 6911, 763, 20534, 1599, 568, 476, 272, 693, 476, 3445, 5232, 610, 4399, 6234, 1422, 2765, 11513, 7032, 2410, 273, 21456, 11997, 267, 4399, 6234, 1422, 9064, 815, 1422, 2765, 11513, 7032, 2410, 273, 21456, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 6860, 6751, 454, 1723, 2120, 7666, 344, 454, 32621, 1384, 23192, 17397, 676, 21013, 295, 297, 454, 7445, 6234, 5609, 630, 273, 24592, 264, 815, 476, 272, 14204, 7445, 6234, 1422, 2117, 7562, 630, 272, 264, 815, 476, 273, 24592, 14204, 7445, 6234, 1422, 2765, 11513, 2117, 7562, 630, 272, 20972, 273, 348, 815, 1422, 9064, 6911, 763, 20534, 1599, 568, 476, 272, 693, 476, 3445, 5232, 610, 4399, 6234, 1422, 2765, 11513, 7032, 2410, 273, 21456, 11997, 267, 4399, 6234, 1422, 9064, 815, 1422, 2765, 11513, 7032, 2410, 273, 10592, 12552, 267, 855, 519, 2626, 594, 993, 2016, 585, 519, 1966, 568, 281, 834, 3393, 4113, 2668, 1284, 10093, 1405, 2944, 9095, 7562, 2943, 563, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 2420, 6751, 454, 297, 9655, 295, 297, 454, 302, 3591, 267, 519, 2626, 568, 5609, 476, 3393, 269, 594, 5921, 547, 1826, 14039, 270, 275, 269, 9282, 267, 952, 596, 616, 3257, 4645, 9163, 596, 1058, 723, 8854, 936, 9095, 7562, 267, 799, 568, 519, 11201, 1599, 540, 20534, 563, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 2190, 6751, 454, 3725, 1188, 517, 518, 454, 32621, 1384, 23192, 17397, 676, 1071, 2120, 7666, 344, 454, 296, 1265, 621, 2182, 547, 1826, 519, 1966, 593, 519, 2780, 267, 865, 594, 3769, 513, 4605, 609, 513, 4063, 593, 1141, 594, 993, 12758, 269, 594, 917, 594, 666, 1405, 7941, 834, 272, 257, 676, 834, 7562, 273, 9064, 257, 547, 1205, 476, 1789, 5232, 267, 865, 594, 1810, 1405, 917, 1018, 547, 798, 1985, 269, 8729, 780, 2026, 596, 723, 2854, 267, 4399, 6234, 476, 271, 23373, 15132, 315, 19008, 273, 24592, 283, 24798, 23373, 15132, 20728, 269, 259, 7316, 267, 538, 519, 8884, 4399, 6234, 476, 271, 23373, 15132, 315, 19008, 315, 12978, 283, 24798, 23373, 15132, 8961, 568, 4399, 6234, 1422, 7562, 315, 12978, 259, 3160, 547, 476, 272, 286, 2334, 1131, 581, 4399, 6234, 1422, 12978, 815, 476, 3445, 23373, 15132, 267, 476, 14596, 23373, 15132, 20728, 269, 259, 1809, 538, 938, 2013, 267, 519, 5086, 568, 4399, 6234, 1422, 12978, 815, 476, 273, 24592, 20728, 269, 259, 1924, 692, 7445, 6234, 476, 273, 24592, 815, 476, 3445, 23373, 15132, 315, 23976, 24592, 815, 476, 3393, 23373, 15132, 6911, 663, 692, 7445, 6234, 476, 273, 24592, 815, 476, 14596, 23373, 15132, 315, 23976, 24592, 815, 476, 18597, 23373, 15132, 20728, 269, 6911, 2252, 596, 12990, 891, 1394, 883, 519, 3312, 3830, 267, 596, 3513, 1294, 602, 519, 3070, 568, 4399, 6234, 476, 3393, 23373, 15132, 267, 259, 543, 519, 2034, 5086, 540, 4399, 6234, 476, 18597, 23373, 15132, 259, 568, 606, 970, 8735, 748, 3070, 5189, 950, 596, 16302, 1312, 5011, 269, 0, 258, 13658, 17564, 692, 763, 3017, 1063, 513, 1297, 543, 922, 1079, 1922, 604, 628, 568, 476, 27944, 269, 1548, 568, 476, 1015, 260, 540, 602, 1297, 26042, 17345, 8745, 281, 26592, 589, 696, 3363, 692, 1892, 476, 272, 6540, 4037, 692, 1892, 476, 273, 6540, 5952, 692, 1892, 476, 274, 6540, 4817, 692, 1892, 476, 275, 6540, 10755, 692, 7462, 8827, 454, 5591, 8827, 10558, 8616, 692, 2971, 5440, 476, 276, 5381, 13658, 910, 9122, 2201, 3642, 261, 7876, 692, 5226, 714, 24805, 566, 3590, 16286, 13017, 910, 4179, 2517, 325, 637, 615, 10428, 6709, 714, 268, 777, 328, 269, 12516, 31343, 1952, 2593, 11721, 637, 615, 10428, 318, 638, 714, 318, 777, 328, 692, 258, 13658, 454, 272, 454, 28097, 692, 1432, 2600, 568, 476, 274, 260, 540, 476, 276, 260, 26042, 1892, 476, 272, 6540, 2568, 30515, 1892, 476, 273, 6540, 1428, 30515, 1892, 476, 274, 6540, 2004, 30515, 1892, 476, 275, 6540, 1789, 30515, 7462, 8827, 454, 273, 454, 28097, 692, 1789, 260, 540, 513, 1297, 950, 10208, 539, 689, 476, 11011, 267, 3947, 519, 1297, 3294, 269, 4855, 519, 1297, 780, 1892, 476, 272, 316, 476, 2568, 454, 1892, 476, 273, 316, 476, 4792, 454, 1892, 476, 274, 316, 476, 4037, 454, 1892, 476, 275, 316, 476, 3583, 454, 1892, 476, 276, 316, 7183, 540, 891, 454, 7462, 8827, 454, 274, 454, 28097, 692, 1103, 519, 2487, 267, 2916, 10554, 538, 1715, 3840, 267, 856, 540, 476, 10384, 2367, 267, 476, 4335, 2021, 267, 476, 8517, 1453, 1459, 3330, 519, 2679, 22402, 267, 476, 736, 260, 540, 519, 2367, 267, 476, 2412, 260, 540, 519, 2021, 543, 476, 1015, 260, 540, 519, 1453, 941, 12075, 269, 4855, 519, 6871, 540, 1004, 945, 941, 711, 4095, 2496, 1892, 476, 272, 316, 476, 6507, 14999, 1892, 476, 273, 316, 476, 10463, 14999, 1892, 476, 274, 316, 476, 8064, 14999, 1892, 476, 275, 316, 476, 10695, 14999, 7462, 8827, 454, 275, 454, 28097, 692, 763, 4009, 540, 513, 2318, 1297, 568, 476, 1220, 271, 260, 3152, 982, 519, 1297, 3294, 267, 1287, 519, 4009, 540, 602, 1297, 568, 23241, 1892, 476, 272, 316, 476, 12293, 273, 454, 1892, 476, 273, 316, 476, 14321, 276, 454, 1892, 476, 274, 316, 476, 4510, 272, 454, 1892, 476, 275, 316, 476, 16928, 454, 7462, 8827, 454, 276, 454, 28097, 692, 10376, 2427, 540, 513, 14328, 2361, 21022, 676, 476, 2412, 10065, 1635, 875, 1454, 829, 1298, 568, 519, 1858, 540, 519, 2361, 21022, 2496, 1892, 476, 272, 316, 476, 3953, 14999, 1892, 476, 273, 316, 476, 5038, 14999, 1892, 476, 274, 316, 476, 1839, 14999, 1892, 476, 275, 316, 476, 1626, 14999, 7462, 8827, 454, 277, 454, 28097, 692, 763, 2551, 540, 513, 4884, 4679, 1169, 1032, 676, 476, 275, 10065, 1403, 922, 1459, 2551, 568, 476, 2004, 267, 1822, 267, 1287, 1310, 476, 273, 1296, 621, 786, 581, 692, 1892, 476, 272, 316, 476, 7871, 267, 12010, 454, 1892, 476, 273, 316, 476, 7918, 267, 1822, 454, 1892, 476, 274, 316, 476, 7918, 267, 24699, 454, 1892, 476, 275, 316, 476, 7918, 267, 12010, 454, 7462, 8827, 454, 278, 454, 28097, 692, 8310, 1032, 267, 519, 2551, 540, 513, 4884, 729, 1535, 543, 952, 621, 4679, 693, 519, 1482, 2557, 267, 1985, 1032, 621, 786, 581, 586, 269, 519, 1459, 2551, 540, 519, 4884, 568, 692, 1892, 476, 272, 6540, 1892, 476, 273, 6540, 1892, 476, 274, 6540, 1892, 476, 275, 6540, 7462, 8827, 454, 279, 454, 28097, 692, 288, 6075, 12134, 585, 519, 2504, 540, 1535, 1297, 540, 5370, 269, 634, 2754, 7472, 586, 1297, 540, 5370, 3232, 269, 4934, 540, 799, 1990, 260, 616, 4559, 585, 9042, 269, 634, 1931, 786, 581, 6192, 538, 23241, 1892, 476, 272, 6540, 17058, 692, 1892, 476, 273, 6540, 17058, 692, 1892, 476, 274, 6540, 17058, 692, 1892, 476, 275, 6540, 17058, 692, 1892, 476, 276, 6540, 4692, 2254, 5462, 692, 7462, 8827, 454, 280, 454, 28097, 692, 1103, 606, 9550, 513, 11134, 945, 4991, 1109, 10019, 260, 1109, 1993, 519, 16018, 568, 11221, 676, 513, 5354, 540, 1109, 5325, 277, 1109, 341, 4925, 269, 1548, 568, 519, 2698, 1297, 540, 16018, 1135, 1194, 2496, 1892, 476, 272, 6540, 6858, 273, 692, 1892, 476, 273, 6540, 10384, 692, 1892, 476, 274, 6540, 278, 5392, 692, 1892, 476, 275, 6540, 279, 4366, 692, 7462, 8827, 454, 1015, 454, 28097, 692, 1103, 513, 8047, 4603, 267, 513, 3732, 540, 2011, 799, 568, 513, 7848, 540, 5135, 543, 1216, 32350, 568, 3144, 269, 4826, 32350, 267, 3568, 7250, 543, 5135, 9362, 269, 1403, 2011, 3568, 513, 2698, 540, 476, 3583, 260, 5135, 630, 10175, 602, 8659, 538, 519, 1216, 32350, 264, 676, 2597, 1247, 1216, 32350, 3568, 476, 1626, 269, 5780, 260, 540, 5135, 676, 2597, 267, 875, 1082, 13532, 540, 1216, 32350, 568, 1459, 538, 476, 272, 11304, 540, 2011, 2496, 1892, 476, 272, 6540, 271, 269, 736, 692, 1892, 476, 273, 6540, 271, 269, 3607, 692, 1892, 476, 274, 6540, 271, 269, 3953, 692, 1892, 476, 275, 6540, 271, 269, 1839, 692, 258, 13658, 0, 293, 2632, 1384, 258, 17006, 543, 16265, 24219, 7089, 547, 476, 1911, 692, 1805, 8681, 281, 7089, 454, 11073, 3699, 281, 476, 279, 267, 476, 280, 692, 1012, 5153, 476, 273, 281, 14419, 15845, 540, 9906, 4804, 692, 2162, 2871, 4575, 5999, 692, 1892, 1548, 2963, 786, 594, 1413, 585, 547, 917, 602, 1565, 814, 7018, 888, 1892, 1548, 1058, 1053, 6542, 547, 1397, 741, 1620, 540, 519, 6310, 2035, 267, 1983, 543, 8262, 14313, 2496, 2162, 4635, 19793, 22777, 25824, 2209, 692, 2026, 596, 2253, 4058, 4245, 543, 1565, 2238, 267, 1832, 538, 2247, 5571, 2081, 547, 6895, 543, 2708, 2875, 1565, 269, 2290, 4358, 1448, 585, 713, 4058, 568, 547, 2015, 519, 9740, 10832, 7396, 538, 519, 9119, 15206, 547, 6103, 476, 280, 5358, 540, 5525, 609, 19793, 22777, 25824, 2209, 269, 1411, 949, 849, 5352, 707, 1378, 10832, 543, 946, 873, 547, 3391, 707, 8343, 540, 519, 1053, 780, 763, 1739, 10832, 949, 581, 1031, 547, 3313, 2436, 610, 711, 1053, 723, 1558, 1808, 4093, 476, 279, 543, 476, 280, 269, 2052, 1053, 1384, 1892, 1039, 4642, 547, 513, 2016, 1297, 267, 543, 2491, 1946, 519, 2040, 568, 519, 1482, 607, 519, 2016, 1297, 888, 1892, 10208, 4642, 689, 513, 2016, 1297, 267, 543, 2491, 1946, 519, 3017, 568, 519, 1482, 607, 519, 2016, 1297, 888, 1892, 2203, 1840, 543, 12408, 267, 1210, 6405, 610, 3308, 11269, 267, 543, 2594, 519, 1184, 3090, 1227, 888, 1892, 1711, 513, 1966, 5473, 1840, 610, 12408, 2016, 513, 1297, 4845, 888, 1892, 1711, 606, 1840, 543, 12408, 1297, 4845, 543, 7222, 1650, 1966, 585, 513, 2016, 3070, 888, 1892, 4194, 513, 2016, 1966, 5473, 513, 7508, 1039, 754, 267, 543, 4766, 519, 4640, 1031, 888, 1892, 4194, 513, 2016, 1966, 5473, 513, 7508, 1295, 340, 754, 610, 5705, 571, 9150, 267, 543, 4766, 519, 4640, 1031, 888, 1892, 13217, 2123, 2994, 547, 2333, 741, 4398, 888, 1892, 6474, 513, 1297, 4845, 547, 513, 2016, 7508, 1039, 754, 1966, 888, 1892, 6474, 513, 1297, 4845, 547, 513, 2016, 7508, 5705, 571, 9150, 610, 1295, 340, 754, 1966, 888, 1892, 2491, 610, 6542, 519, 862, 32477, 3959, 585, 1840, 281, 519, 1931, 540, 1840, 1281, 711, 1860, 519, 2040, 282, 552, 3052, 1421, 476, 276, 1341, 476, 277, 815, 476, 277, 1341, 476, 276, 888, 1892, 1039, 513, 2016, 1305, 540, 2338, 267, 1210, 519, 1997, 894, 3959, 540, 1840, 630, 326, 29470, 513, 1305, 540, 2338, 538, 1114, 2081, 1281, 711, 1860, 519, 2040, 1070, 543, 2491, 1946, 519, 2040, 568, 519, 1482, 282, 552, 3052, 1421, 476, 273, 1341, 476, 276, 1341, 476, 274, 1341, 476, 279, 815, 630, 273, 1341, 476, 274, 264, 1341, 476, 276, 1341, 476, 279, 610, 476, 276, 1341, 476, 274, 1341, 630, 279, 1341, 476, 273, 25145, 1892, 4194, 513, 2016, 1840, 610, 12408, 19106, 538, 2901, 8880, 610, 7299, 12043, 888, 1892, 2697, 1018, 1142, 1297, 538, 519, 1966, 1797, 538, 6935, 547, 513, 851 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10912, 856, 968, 332, 20207, 256, 332, 20207, 256, 6100, 16474, 779, 30270, 4523, 950, 596, 616, 25356, 1310, 1175, 4758, 621, 2141, 689, 707, 2427, 269, 16474, 779, 30270, 4523, 950, 596, 616, 16397, 609, 513, 2603, 540, 1919, 267, 2523, 609, 10845, 267, 543, 6560, 547, 979, 1394, 547, 519, 9350, 543, 3461, 2427, 540, 15970, 563, 5472, 649, 2503, 568, 3993, 3125, 547, 581, 1025, 1170, 269, 1809, 18864, 12909, 827, 519, 824, 2427, 540, 621, 799, 2306, 721, 14220, 543, 519, 10845, 7140, 856, 883, 30270, 269, 1284, 1995, 713, 950, 972, 568, 513, 3668, 540, 1582, 13282, 267, 3668, 540, 942, 585, 6000, 267, 610, 950, 972, 568, 1100, 1489, 563, 6624, 31908, 1995, 30270, 1813, 547, 796, 637, 9407, 911, 30864, 689, 6689, 7133, 3993, 3125, 610, 519, 5912, 602, 568, 4397, 538, 938, 9163, 607, 2021, 269, 1284, 1294, 938, 7649, 779, 1272, 2547, 4299, 1813, 547, 15970, 543, 602, 568, 1946, 649, 30270, 693, 873, 519, 1034, 563, 1607, 3158, 779, 30270, 1223, 849, 581, 1813, 547, 2188, 971, 607, 4652, 31944, 27445, 267, 3190, 1472, 519, 2777, 267, 543, 10444, 20358, 269, 32506, 899, 3214, 7683, 6998, 585, 16152, 267, 21089, 689, 9162, 267, 543, 24107, 24515, 1223, 9594, 596, 563, 1692, 1677, 20958, 2060, 16474, 681, 720, 454, 6624, 540, 721, 25657, 2022, 31691, 4965, 609, 2022, 31691, 30270, 263, 3697, 875, 1082, 31908, 2012, 621, 32656, 2755, 10845, 568, 1945, 596, 666, 2769, 267, 30270, 568, 1945, 602, 782, 31908, 1616, 547, 12404, 269, 2353, 789, 1745, 568, 513, 17847, 995, 5728, 269, 12624, 3125, 568, 513, 1008, 6327, 2943, 31908, 616, 4397, 547, 957, 23920, 569, 543, 3461, 569, 563, 4407, 519, 1835, 625, 267, 21915, 337, 4548, 267, 543, 627, 1456, 540, 7820, 1453, 666, 1118, 721, 979, 21173, 267, 609, 4587, 1453, 519, 30891, 1223, 2490, 856, 547, 581, 4376, 899, 1256, 4657, 519, 4566, 649, 1185, 585, 519, 1554, 269, 634, 17140, 649, 1628, 909, 568, 1813, 547, 1585, 2188, 971, 607, 1818, 938, 3214, 1353, 9875, 267, 519, 533, 2056, 7622, 26050, 547, 581, 2944, 267, 543, 519, 6980, 547, 581, 11273, 269, 634, 3668, 540, 1489, 585, 31908, 568, 835, 2101, 2601, 585, 519, 30270, 547, 1628, 909, 563, 3383, 1631, 602, 649, 616, 782, 986, 3101, 267, 875, 666, 649, 1118, 1945, 2318, 856, 540, 713, 888, 272, 269, 6875, 513, 2736, 454, 2171, 782, 991, 513, 2736, 693, 930, 1448, 538, 942, 269, 2060, 3158, 779, 26050, 533, 4979, 909, 267, 1082, 540, 721, 7340, 547, 1491, 513, 2736, 585, 6000, 269, 5457, 267, 596, 616, 513, 1480, 543, 782, 596, 991, 568, 547, 1491, 513, 2736, 547, 10069, 1125, 3054, 585, 519, 1985, 1305, 540, 26050, 269, 4595, 649, 782, 616, 3425, 267, 649, 782, 723, 513, 2039, 540, 4664, 269, 3807, 1589, 952, 2576, 5143, 596, 621, 729, 606, 9688, 532, 1554, 267, 1131, 596, 711, 18973, 873, 547, 1964, 585, 930, 942, 888, 273, 269, 13722, 707, 6788, 454, 2171, 782, 1832, 938, 6788, 1164, 269, 1809, 596, 666, 711, 1611, 873, 950, 596, 616, 538, 519, 1184, 540, 15970, 269, 1411, 3112, 2503, 707, 1753, 547, 2141, 581, 2973, 610, 519, 8286, 547, 581, 18233, 543, 6854, 2973, 269, 1411, 991, 547, 1205, 856, 540, 519, 2259, 540, 30562, 534, 1645, 519, 1964, 540, 519, 1920, 269, 1411, 1590, 917, 1018, 596, 1616, 547, 798, 8957, 1018, 1590, 581, 2944, 547, 4688, 707, 6296, 593, 519, 2395, 519, 30270, 568, 1164, 563, 274, 269, 4406, 28371, 707, 1126, 779, 4743, 454, 25444, 814, 4606, 267, 543, 865, 1281, 707, 1126, 269, 1284, 1419, 2119, 547, 1852, 741, 4606, 610, 1589, 789, 616, 519, 2707, 540, 21379, 1952, 1465, 269, 1879, 596, 2119, 547, 7914, 538, 3533, 883, 513, 3510, 543, 4368, 1919, 267, 1453, 949, 1589, 596, 616, 3843, 547, 1852, 873, 799, 949, 2417, 1102, 584, 5573, 1312, 540, 596, 269, 5502, 540, 5356, 513, 4062, 540, 5796, 547, 707, 1126, 267, 596, 666, 2995, 707, 1126, 2453, 899, 968, 296, 1174, 875, 596, 1590, 581, 4743, 5608, 543, 968, 6343, 1131, 581, 5363, 9731, 275, 269, 5192, 547, 519, 2295, 540, 519, 2339, 454, 2691, 596, 1745, 596, 616, 693, 519, 8445, 540, 519, 30270, 267, 3797, 666, 581, 513, 1390, 2707, 547, 948, 596, 269, 4107, 540, 519, 942, 267, 519, 1259, 596, 2746, 547, 513, 3510, 1223, 581, 1317, 540, 707, 2250, 911, 30864, 269, 15775, 547, 917, 519, 2707, 540, 519, 3390, 666, 948, 596, 1847, 4464, 269, 1879, 596, 616, 11688, 26938, 547, 979, 547, 3797, 267, 2119, 547, 2697, 519, 12153, 543, 957, 5100, 569, 950, 519, 3510, 14340, 563, 276, 269, 4855, 2230, 454, 22129, 666, 581, 4376, 899, 2348, 513, 8602, 267, 2469, 585, 513, 3802, 267, 610, 8384, 707, 5172, 1397, 593, 28923, 269, 6884, 267, 9363, 538, 513, 4055, 782, 676, 3054, 1223, 849, 8897, 519, 3510, 269, 8447, 2230, 568, 1945, 602, 3112, 581, 6488, 539, 676, 1082, 31908, 1256, 8338, 952, 596, 616, 513, 3158, 540, 513, 1762, 4819, 563, 3963, 2549, 594, 15775, 4911, 787, 2311, 9540, 12085, 454, 17951, 518, 3884, 1406, 513, 3983, 7553, 269, 1717, 267, 621, 1590, 581, 17411, 14013, 269, 18833, 519, 2601, 585, 10845, 568, 519, 1655, 1259, 540, 10845, 2359, 585, 31908, 269, 4911, 518, 3587, 513, 1966, 950, 621, 3884, 1406, 7307, 1072, 1176, 269, 1703, 616, 1082, 1455, 4128, 585, 10845, 269, 901, 1223, 1331, 1919, 971, 607, 3871, 4152, 707, 9639, 267, 3668, 540, 7071, 540, 707, 6644, 610, 3646, 267, 3092, 269, 4033, 3123, 540, 10845, 1223, 581, 1022, 15779, 2621, 610, 1932, 1454, 21898, 532, 827, 2123, 2042, 563, 17951, 518, 12153, 616, 1114, 689, 835, 1268, 547, 1776, 607, 621, 5673, 593, 1018, 596, 2503, 689, 1866, 1472, 596, 269, 2659, 5114, 547, 513, 3510, 610, 875, 596, 941, 6026, 547, 2746, 547, 621, 849, 6927, 269, 1403, 596, 14201, 1406, 6026, 547, 2769, 10845, 1318, 689, 6689, 267, 519, 10845, 799, 596, 18645, 1282, 3993, 3125, 1522, 1011, 1712, 607, 513, 30270, 269, 6884, 5817, 2564, 2175, 849, 1039, 547, 856, 10767, 7370, 563, 1692, 1684, 594, 17547, 9861, 4911, 787, 3683, 9741, 12085, 888, 7197, 540, 519, 942, 267, 621, 568, 711, 519, 2566, 602, 568, 11318, 721, 267, 621, 568, 875, 649, 2746, 547, 621, 269, 1403, 596, 616, 2576, 945, 3362, 4991, 533, 1170, 539, 1055, 936, 1507, 1919, 267, 596, 666, 4313, 3054, 269, 898, 568, 21453, 547, 2263, 707, 4606, 693, 2053, 267, 855, 1175, 602, 596, 1810, 1406, 1745, 1390, 1310, 3257, 621, 269, 5457, 267, 952, 1945, 814, 1044, 21898, 532, 596, 585, 513, 1279, 942, 267, 1256, 519, 13581, 652, 28842, 1466, 1223, 1118, 621, 1011, 1712, 269, 1403, 1945, 689, 519, 2250, 568, 21898, 532, 596, 693, 1459, 267, 2119, 547, 8207, 621, 269, 1879, 1919, 1810, 1406, 979, 607, 9709, 267, 621, 568, 6654, 585, 519, 4664, 547, 21074, 563, 4415, 519, 4388, 585, 10845, 2359, 585, 31908, 2016, 2630, 267, 2119, 547, 1852, 707, 10845, 543, 4431, 14013, 547, 519, 3510, 676, 2921, 513, 23249, 267, 8026, 2620, 7244, 267, 543, 4466, 513, 1259, 547, 581, 17519, 2864, 982, 2921, 1919, 13948, 610, 676, 556, 577, 2335, 9934, 875, 596, 1745, 563, 1692, 1684, 594, 6513, 3733, 4911, 518, 2060, 3733, 4132, 888, 299, 3151, 707, 2191, 666, 723, 3978, 2360, 593, 707, 1126, 269, 15526, 4991, 14220, 269, 1809, 621, 5673, 593, 7247, 596, 1205, 14220, 609, 543, 547, 1018, 6708, 621, 5540, 873, 269, 4595, 607, 31908, 649, 1305, 606, 1383, 585, 938, 1453, 267, 519, 1655, 3364, 547, 798, 1247, 3478, 14220, 568, 547, 1175, 3802, 2476, 689, 602, 1747, 563, 763, 1655, 1259, 547, 4308, 609, 10845, 568, 547, 5431, 922, 4191, 1354, 621, 11199, 14186, 865, 596, 1223, 1491, 519, 3510, 896, 1852, 563, 16729, 616, 513, 1906, 4191, 540, 3478, 14220, 563, 268, 513, 3728, 26470, 610, 7244, 5488, 454, 268, 13029, 17525, 454, 268, 4743, 989, 18469, 454, 268, 804, 523, 4221, 707, 10265, 610, 3946, 454, 268, 669, 9506, 7181, 454, 2691, 596, 1265, 891, 9594, 4191, 267, 596, 1058, 4734, 519, 1747, 269, 3619, 585, 513, 3802, 610, 1491, 513, 8602, 610, 6432, 547, 2575, 602, 1522, 865, 6139, 596, 269, 5502, 540, 5612, 561, 4770, 693, 519, 1126, 267, 1265, 2081, 547, 6001, 3054, 971, 607, 10203, 689, 476, 1015, 547, 476, 272, 269, 8347, 547, 556, 874, 19189, 707, 5220, 883, 2318, 3283, 2864, 982, 6029, 30270, 547, 519, 1126, 269, 2667, 675, 707, 1126, 602, 621, 568, 1152, 741, 3527, 602, 596, 1810, 1406, 899, 543, 711, 873, 563, 2691, 596, 6336, 10845, 609, 707, 1126, 267, 1118, 621, 513, 1448, 547, 23294, 1125, 547, 873, 2663, 269, 769, 713, 1259, 267, 519, 1126, 786, 1174, 602, 621, 568, 21453, 547, 1745, 989, 18469, 607, 1279, 607, 596, 4308, 609, 621, 1134, 269, 4495, 596, 9350, 1524, 267, 1694, 1394, 543, 1589, 827, 1018, 1500, 596, 14220, 543, 875, 1732, 596, 1223, 723, 17411, 621, 563, 1692, 6496, 1323, 4911, 787, 9977, 18748, 589, 4132, 888, 2691, 1453, 1294, 741, 3237, 14220, 267, 789, 2566, 2933, 1025, 5446, 873, 547, 581, 519, 2601, 585, 519, 14784, 538, 519, 1920, 269, 1879, 1932, 1454, 586, 2454, 543, 24515, 4755, 538, 513, 1753, 267, 519, 1126, 1223, 1205, 22841, 15508, 269, 5457, 267, 513, 1434, 5639, 3085, 1406, 6655, 6835, 1732, 269, 15775, 14220, 543, 22551, 532, 693, 707, 1126, 1223, 1118, 873, 10728, 9308, 543, 8231, 958, 563, 2005, 814, 1279, 3856, 2360, 593, 519, 1126, 971, 607, 1970, 1582, 12635, 267, 4160, 2152, 267, 543, 4965, 269, 1358, 1265, 621, 2182, 547, 13404, 593, 741, 2090, 543, 616, 2451, 620, 334, 1993, 1034, 540, 519, 942, 269, 1452, 1453, 1020, 12008, 2042, 1932, 269, 898, 5932, 513, 8194, 602, 1223, 1860, 741, 2790, 1533, 538, 519, 1279, 2196, 269, 5457, 267, 1100, 2339, 875, 14220, 596, 616, 267, 596, 1590, 711, 1397, 30270, 9308, 547, 707, 1126, 563, 1432, 19732, 839, 1677, 589, 4132, 779, 11020, 1879, 1411, 962, 749, 888, 2005, 568, 3339, 547, 1205, 21616, 609, 707, 1126, 2523, 950, 789, 616, 3765, 2041, 327, 3058, 269, 1717, 267, 952, 596, 586, 749, 693, 873, 950, 596, 616, 21616, 267, 621, 568, 7168, 2386, 547, 723, 513, 1279, 1764, 593, 741, 2208, 269, 670, 6702, 15366, 9015, 899, 586, 2454, 666, 723, 513, 3978, 1764, 593, 519, 1126, 779, 2790, 8171, 563, 763, 1739, 1919, 4755, 950, 596, 616, 7683, 586, 2454, 693, 707, 1126, 563, 268, 898, 2306, 741, 2623, 8338, 454, 268, 898, 1223, 1689, 519, 1259, 741, 12058, 1020, 454, 268, 634, 1126, 1522, 1205, 883, 4965, 454, 268, 962, 2454, 786, 723, 2360, 593, 741, 2168, 1072, 454, 19522, 2201, 4911, 518, 5004, 1280, 11554, 631, 1682, 454, 22998, 31908, 616, 711, 528, 13124, 11112, 799, 8591, 811, 2604, 950, 519, 1126, 3884, 1406, 1969, 532, 1134, 610, 972, 568, 606, 17674, 1464, 538, 15970, 269, 1403, 519, 2324, 3158, 568, 14129, 543, 9663, 1190, 782, 519, 942, 267, 621, 1522, 1860, 1200, 7607, 693, 960, 269, 5903, 539, 2630, 616, 513, 1906, 4388, 602, 948, 873, 547, 2226, 741, 7254, 640, 607, 1134, 607, 2566, 2157, 563, 268, 4643, 547, 3251, 6896, 454, 268, 5590, 707, 6302, 454, 268, 13773, 4448, 454, 268, 6875, 1416, 540, 3054, 454, 268, 16418, 948, 952, 2838, 454, 268, 10312, 593, 10845, 2359, 585, 31908, 454, 19522, 2201, 4911, 518, 5004, 1280, 17266, 631, 1682, 454, 5719, 2718, 609, 1200, 10845, 568, 519, 1034, 4101, 851, 540, 1373, 513, 2582, 3158, 269, 4595, 1272, 2242, 689, 1018, 596, 2219, 621, 1131, 581, 267, 707, 4664, 666, 581, 513, 1390, 2243, 269, 19737, 707, 10845, 568, 2009, 543, 568, 4443, 982, 596, 1589, 269, 634, 1739, 4388, 786, 948, 596, 609, 10845, 2359, 585, 2582, 31908, 563, 268, 2913, 707, 3214, 917, 875, 596, 1745, 454, 268, 3503, 1524, 707, 4606, 543, 2901, 6633, 873, 610, 15237, 621, 454, 268, 11644, 547, 5887, 707, 10845, 454, 268, 13185, 609, 2576, 454, 268, 20504, 3054, 454, 16032, 4911, 518, 5004, 7734, 1280, 631, 1682, 454, 288, 2603, 540, 721, 6336, 938, 3579, 1082, 2053, 269, 898, 568, 21453, 3177, 621, 568, 606, 856 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1870, 2853, 267, 596, 616, 6029, 5561, 602, 596, 3972, 873, 543, 616, 711, 3843, 547, 12404, 4376, 563, 274, 269, 2142, 12968, 652, 6168, 2659, 27190, 1389, 454, 25444, 2306, 9073, 267, 855, 602, 1281, 711, 1611, 621, 568, 15502, 547, 2119, 547, 30908, 873, 896, 519, 24821, 269, 1879, 1919, 979, 4636, 267, 596, 991, 547, 581, 8348, 547, 16153, 707, 9073, 543, 1491, 5539, 585, 873, 563, 30395, 9177, 538, 519, 8433, 454, 3528, 2679, 606, 8537, 2528, 538, 519, 5604, 267, 596, 616, 6029, 5520, 602, 741, 2093, 616, 12595, 543, 602, 596, 3972, 741, 10385, 269, 3371, 616, 513, 1906, 2081, 547, 1628, 513, 2178, 2754, 2528, 912, 272, 269, 5620, 513, 2312, 2754, 5692, 454, 9336, 9441, 1058, 917, 4010, 741, 1909, 538, 519, 2754, 543, 875, 741, 960, 7028, 519, 2949, 6216, 5692, 269, 901, 666, 581, 607, 2241, 607, 2348, 513, 5692, 3948, 11540, 593, 519, 3774, 610, 2870, 513, 3059, 25156, 602, 5520, 666, 1569, 593, 741, 11436, 563, 273, 269, 11559, 1930, 543, 16268, 5955, 454, 288, 2635, 2754, 2528, 12346, 593, 1930, 2792, 269, 6787, 5520, 616, 14379, 609, 1142, 824, 610, 609, 596, 267, 789, 991, 547, 1745, 899, 789, 666, 581, 9237, 1510, 1373, 24565, 563, 274, 269, 2561, 3285, 622, 3604, 454, 9336, 1268, 6770, 513, 1114, 5133, 547, 519, 3349, 267, 865, 621, 568, 2629, 547, 1397, 5520, 602, 596, 1871, 741, 3604, 543, 5000, 5876, 543, 1007, 2093, 563, 28444, 675, 31740, 3657, 3502, 5494, 3234, 3990, 18830, 454, 4467, 3966, 625, 616, 3743, 585, 8156, 782, 741, 5520, 9425, 267, 7488, 540, 5198, 267, 4984, 267, 4008, 267, 610, 1022, 824, 3815, 602, 1281, 711, 2047, 1764, 741, 2702, 547, 798, 519, 2816, 269, 3371, 616, 513, 1906, 2081, 547, 2327, 5520, 616, 5701, 9425, 912, 272, 269, 670, 790, 585, 5578, 267, 711, 585, 3514, 454, 1103, 1034, 2665, 267, 17849, 585, 5578, 786, 1267, 538, 513, 3309, 9036, 269, 5269, 2386, 596, 616, 711, 9991, 883, 519, 15972, 540, 17849, 1004, 899, 596, 563, 273, 269, 8073, 513, 2528, 540, 5955, 454, 24876, 5520, 519, 5191, 543, 19015, 789, 991, 547, 2285, 1142, 824, 5955, 543, 1577, 873, 917, 596, 1616, 547, 5873, 1018, 789, 723, 547, 2161, 563, 274, 269, 8073, 3255, 585, 5520, 547, 1332, 454, 10144, 1616, 547, 1745, 899, 741, 960, 814, 2495, 267, 865, 2327, 5520, 917, 875, 741, 960, 8309, 547, 519, 2754, 563, 19968, 7881, 568, 519, 1353, 540, 875, 3549, 8011, 1247, 5665, 609, 8699, 269, 898, 779, 513, 1259, 540, 3206, 827, 519, 1158, 540, 1870, 602, 2636, 1004, 269, 23883, 1346, 945, 1118, 741, 2713, 538, 1870, 267, 547, 1118, 1732, 3664, 585, 2933, 543, 2486, 607, 513, 2898, 269, 6355, 7881, 568, 711, 827, 10213, 3549, 1018, 547, 798, 855, 13057, 873, 2509, 1018, 1568, 269, 0, 1432, 779, 10896, 8654, 888, 294, 550, 548, 32749, 1019, 3941, 630, 29612, 338, 264, 616, 513, 3059, 9543, 3761, 269, 27178, 3459, 1272, 607, 9543, 10832, 538, 5122, 2694, 14475, 676, 670, 1168, 27451, 13268, 731, 269, 634, 24106, 568, 513, 2164, 540, 9211, 16089, 1379, 1369, 519, 1826, 540, 22726, 2362, 5219, 547, 607, 1528, 1503, 29061, 12412, 563, 19853, 1379, 1198, 2032, 267, 1970, 909, 18141, 267, 7347, 1145, 543, 17890, 1272, 17538, 602, 789, 2461, 1631, 513, 7524, 1585, 547, 519, 1648, 3620, 2426, 787, 543, 10347, 1387, 4084, 9543, 2959, 782, 540, 721, 8057, 909, 609, 563, 22873, 6053, 741, 1871, 11658, 741, 946, 607, 606, 593, 513, 2834, 4493, 9543, 3761, 269, 11048, 2479, 2987, 920, 2084, 1379, 3790, 6404, 609, 4824, 5663, 1576, 540, 814, 1500, 873, 513, 14323, 1585, 547, 6004, 32525, 779, 8798, 563, 4263, 519, 4090, 789, 2461, 8246, 538, 751, 4582, 2888, 267, 3135, 8436, 8279, 267, 18914, 2212, 7547, 267, 8731, 2583, 543, 10832, 519, 1158, 936, 563, 3963, 11129, 547, 594, 581, 9001, 10896, 8654, 888, 268, 27178, 946, 1454, 1447, 1379, 269, 634, 693, 1101, 2014, 585, 9001, 27178, 568, 602, 789, 3580, 3548, 607, 1454, 607, 476, 5952, 260, 1454, 1447, 1379, 982, 6671, 8654, 269, 13518, 1447, 1379, 10057, 568, 6653, 585, 519, 10450, 2705, 10123, 621, 568, 1434, 585, 13055, 1932, 269, 13518, 1447, 1648, 13345, 11224, 811, 6666, 10710, 563, 268, 27178, 2063, 811, 269, 634, 1455, 2085, 585, 513, 10896, 9543, 568, 476, 1015, 1296, 269, 4634, 1287, 789, 616, 2469, 547, 9003, 1616, 4657, 607, 741, 9543, 535, 3547, 269, 3683, 606, 6905, 942, 1974, 741, 9543, 3977, 20406, 3897, 338, 269, 1358, 786, 2063, 811, 1932, 282, 621, 12346, 2390, 2390, 519, 7311, 563, 268, 27178, 616, 513, 2603, 10930, 1107, 27178, 946, 1970, 6453, 630, 1321, 268, 2190, 264, 24311, 543, 616, 1454, 1447, 540, 513, 5873, 628, 3463, 982, 9543, 15620, 543, 16113, 19440, 8654, 269, 27178, 12520, 1100, 11158, 543, 2370, 610, 1100, 14246, 547, 1450, 873, 547, 581, 8246, 538, 2127, 519, 1747, 606, 7050, 2179, 540, 14246, 568, 5739, 563, 268, 27178, 616, 12863, 547, 1832, 909, 269, 27178, 1522, 581, 2451, 4805, 543, 513, 3728, 26763, 936, 1102, 18526, 568, 782, 789, 1616, 563, 268, 27178, 616, 2178, 1533, 269, 1703, 568, 1100, 971, 3364, 607, 513, 27129, 610, 4837, 547, 14443, 543, 789, 2461, 19756, 1256, 538, 5848, 6381, 269, 1358, 786, 1256, 581, 1031, 14015, 538, 930, 6381, 563, 268, 27178, 616, 12863, 547, 9004, 269, 9282, 972, 568, 1100, 971, 3364, 607, 513, 4890, 4480, 547, 22120, 873, 538, 519, 1611, 942, 789, 2461, 6263, 543, 13604, 12863, 543, 7864, 14124, 547, 519, 10450, 982, 8741, 532, 4837, 15620, 543, 3154, 23752, 8685, 532, 563, 268, 27178, 616, 513, 2603, 267, 513, 2603, 4130, 269, 1358, 786, 13604, 581, 8246, 538, 2484, 811, 6427, 633, 2409, 982, 6671, 8654, 269, 1280, 3236, 1769, 7901, 525, 1522, 581, 1793, 20810, 267, 27178, 1522, 581, 1256, 581, 11251, 883, 28778, 8440, 585, 2386, 5301, 563, 296, 4076, 4862, 621, 779, 632, 13145, 888, 22873, 6053, 27178, 1522, 581, 632, 13145, 982, 6671, 9543, 15620, 543, 24638, 13740, 2705, 741, 5383, 3152, 982, 2699, 816, 713, 269, 14992, 3068, 1379, 32116, 543, 513, 11428, 547, 2759, 1394, 741, 3327, 5434, 267, 676, 1100, 1797, 4555, 519, 13766, 547, 2539, 5777, 269, 27178, 616, 513, 851, 540, 519, 16253, 547, 1346, 2798, 563, 1432, 798, 594, 798, 609, 1250, 1699, 8654, 888, 6624, 3549, 2015, 602, 547, 2087, 741, 1699, 8654, 267, 585, 3236, 24638, 13740, 538, 18109, 14816, 8654, 543, 1129, 720, 267, 786, 2693, 581, 2527, 1947, 26688, 543, 14427, 269, 1284, 2012, 621, 27164, 7257, 1154, 269, 1703, 779, 513, 4268, 27164, 7257, 1154, 10896, 25584, 602, 949, 946, 1699, 1387, 4084, 9543, 3514, 14005, 269, 1411, 1205, 519, 5413, 540, 1454, 1447, 1648, 4616, 267, 1970, 909, 18141, 543, 17890, 1272, 2705, 596, 798, 711, 723, 547, 2322, 2724, 883, 1007, 9543, 3514, 14005, 269, 1325, 18146, 547, 27178, 568, 607, 3551, 607, 19249, 513, 15941, 563, 1432, 616, 519, 25584, 593, 519, 2344, 888, 29612, 338, 616, 1500, 538, 3833, 513, 2603, 540, 4778, 543, 18707, 269, 14168, 11418, 666, 2359, 519, 21386, 543, 1974, 540, 1169, 10896, 865, 519, 1764, 596, 786, 1205, 609, 606, 10896, 1587, 616, 8626, 27274, 1585, 269, 634, 2344, 568, 3376, 2287, 3533, 563, 292, 6470, 10896, 13838, 3487, 7781, 1268, 13838, 616, 1419, 3812, 538, 8492, 540, 476, 275, 27178, 2705, 10123, 789, 616, 2139, 3833, 513, 2603, 540, 11207, 1114, 6163, 543, 7306, 543, 1419, 2196, 1055, 513, 2653, 476, 1321, 341, 22155, 269, 1358, 616, 1419, 2322, 538, 609, 856, 519, 13766, 585, 606, 3167, 1014, 563, 29612, 338, 1522, 581, 12349, 5423, 15841, 1318, 883, 513, 6656, 540, 5068, 610, 2196, 7258, 519, 29097, 540, 513, 3787, 540, 28778, 799, 949, 1287, 581, 2539, 547, 979, 1134, 609, 519, 4890, 3301, 269, 634, 9395, 5250, 540, 1346, 27178, 19752, 602, 513, 2731, 1256, 2230, 540, 24106, 1522, 581, 6913, 563, 306, 3916, 1467, 10896, 1769, 7901, 525, 454, 2691, 24638, 13740, 616, 17479, 1932, 2282, 519, 13675, 540, 513, 1769, 7901, 596, 3335, 1294, 513, 4174, 4771, 1764, 269, 12071, 2803, 1417, 13740, 616, 10123, 2656, 5030, 269, 1403, 835, 4422, 596, 3068, 606, 14427, 2012, 856, 585, 513, 12990, 269, 27178, 5512, 585, 513, 25182, 1769, 7901, 543, 513, 3063, 1256, 9543, 3761, 593, 707, 12449, 269, 20099, 344, 1272, 543, 1970, 909, 18141, 19752, 602, 1357, 3135, 11564, 616, 513, 2603, 1454, 1447, 2781, 553, 6804, 569, 2838, 269, 15439, 606, 17573, 26763, 27492, 11129, 547, 798, 621, 2336, 14303, 549, 7257, 1154, 1875, 6441, 3633, 25584, 454, 2467, 616, 2965, 27164, 7257, 1154, 25584, 602, 8806, 6474, 883, 1459, 24638, 543, 17426, 15941, 3514, 14005, 269, 901, 666, 581, 513, 2656, 547, 5420, 942, 1974, 7816, 950, 596, 723, 3893, 513, 9645, 2179, 540, 6671, 8654, 267, 899, 14816, 8654, 267, 543, 798, 711, 723, 519, 3902, 2039, 547, 4268, 519, 3514, 14005, 269, 1411, 3580, 5612, 7443, 689, 519, 1379, 2883, 9806, 1644, 547, 10896, 8654, 269, 634, 1455, 652, 25584, 616, 24638, 8685, 532, 12990, 3688, 543, 10300, 4094, 12990, 5544, 8279, 563, 10468, 517, 12990, 10896, 8685, 532, 454, 10468, 517, 568, 606, 3007, 3766, 4599, 6883, 4480, 547, 3895, 707, 1507, 1870, 269, 898, 568, 2356, 1360, 14427, 547, 3761, 267, 3217, 7050, 9832, 540, 1379, 547, 2196, 543, 568, 5906, 585, 519, 10450, 1932, 269, 3767, 596, 949, 18082, 513, 19440, 1764, 609, 513, 3262, 540, 19440, 8685, 532, 5372, 906, 269, 10896, 8685, 532, 1522, 581, 2539, 543, 18761, 883, 1022, 1106, 267, 1360, 2147, 547, 6671, 19440, 269, 1717, 267, 607, 513, 1267, 540, 621, 8255, 669, 11035, 543, 2306, 946, 540, 1970, 6453, 267, 1522, 581, 2322, 538, 676, 24455, 1107, 596, 798, 711, 1616, 513, 3318, 3167, 1014, 547, 1921, 609, 519, 1292, 338, 563, 20181, 1379, 10896, 25584, 27178, 616, 1970, 6453, 543, 713, 2488, 721, 513, 7872, 547, 1118, 946, 540, 3859, 1648, 2281, 543, 2842, 18402, 585, 519, 3119, 942, 269, 898, 779, 1631, 1761, 547, 723, 606, 25139, 5365, 602, 8255, 1055, 922, 2123, 1648, 563, 7617, 25584, 11129, 547, 594, 17908, 888, 763, 10896, 2344, 568, 267, 899, 782, 6990, 267, 2407, 540, 1434, 25584, 543, 5906, 25584, 269, 10896, 8279, 616, 1500, 593, 513, 2582, 6656, 5219, 547, 607, 513, 530, 29195, 267, 1360, 2147, 547, 15291, 13365, 269, 1306, 1082, 607, 476, 7785, 271, 27178, 666, 2097, 689, 1152, 835, 530, 29195, 269, 1703, 616, 20541, 687, 2429, 519, 6989, 540, 1169, 530, 29195, 865, 1880, 1268, 27178, 616, 28439, 607, 4166, 607, 789, 2461, 20399, 856, 269, 4400, 2298, 2359, 15320, 689, 16073, 547, 16073, 865, 596, 786, 991, 547, 2327, 596, 3442, 513, 11967, 8502, 269, 1703, 779, 513, 3942, 540, 1164, 2298, 609, 27178, 4358, 689, 519, 17642, 652, 267, 6505, 652, 8279, 3842, 547, 519, 1970, 1871, 2527, 3812, 27178, 602, 786, 711, 3803, 607, 17890, 610, 1683, 519, 9838, 1164, 2298, 540, 24106, 563, 2467, 779, 2370, 1377, 10115, 1369, 519, 1034, 1942, 15807, 1761, 26725, 3366, 8279, 950, 519, 15620, 616, 2469, 547, 723, 513, 5618, 1272, 1606, 3966, 269, 634, 11418, 1379, 532, 519, 27178, 616, 10123, 4105, 3334, 1369, 519, 4093, 596, 1205, 856, 540, 707, 10896, 8654, 269, 4239, 1074, 814, 16539, 3507, 762, 2724, 543, 942, 883, 15388, 543, 24574, 1359, 609, 519, 3501, 10896, 14273, 1369, 519, 5177, 543, 2342, 269, 1284, 13498, 519, 6791, 543, 616, 13473, 827, 782, 540, 519, 25584, 3617, 585, 938, 16548, 269, 0, 290, 13072, 281, 24296, 680, 1662, 1315, 16671, 271, 5398, 23792, 454, 1103, 2550, 609, 1826, 476, 273, 3987, 267, 1804, 15088, 538, 1973, 4006, 2157, 1063, 4387, 11564, 616, 2404, 609, 606, 2799, 1981, 540, 2295, 2068, 563, 763, 1353, 267, 3370, 538, 519, 4760, 12128, 267, 25667, 1299, 5450, 29440, 267, 8947, 811, 982, 476, 3066, 267, 1822, 2550, 609, 1826, 476, 273, 3987, 936, 513, 1974, 540, 1079, 1296, 269, 14904, 945, 2907, 1185, 2295, 2068, 941, 16934, 563, 763, 1977, 12128, 5948, 15565, 4079, 609, 3987, 2226, 606, 589, 272, 322, 267, 3328, 1973, 4006, 1377, 585, 519, 2250, 1079, 547, 1614, 3275, 267, 540, 1447, 982, 476, 278, 2600, 547, 2569, 8374, 689, 3987, 971, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 856, 602, 519, 12948, 1523, 540, 2069, 17648, 602, 519, 2875, 568, 17399, 656, 543, 602, 519, 4116, 568, 519, 1152, 835, 945, 814, 1022, 1702, 865, 602, 519, 3003, 2069, 1184, 568, 30096, 689, 519, 1376, 1317, 540, 713, 23350, 269, 634, 2278, 13187, 602, 2394, 972, 568, 513, 1259, 547, 5000, 513, 1863, 2095, 267, 610, 5188, 1063, 19829, 543, 2875, 519, 2042, 538, 2069, 786, 2611, 267, 1256, 607, 1007, 21195, 616, 5189, 563, 2691, 649, 1353, 519, 6437, 2066, 519, 2197, 267, 649, 8275, 602, 621, 568, 2966, 547, 11753, 519, 1995, 513, 3309, 2551, 1369, 519, 3044, 2022, 6281, 6437, 269, 634, 6030, 723, 1044, 15428, 543, 6963, 539, 547, 1450, 513, 811, 8471, 2070, 540, 519, 1604, 269, 634, 6437, 568, 8465, 543, 28102, 543, 3976, 267, 2413, 538, 922, 17748, 269, 8616, 267, 519, 6073, 538, 799, 649, 4001, 621, 7182, 519, 2360, 540, 519, 1374, 269, 4935, 267, 875, 649, 4001, 568, 607, 1271, 607, 1018, 649, 4001, 269, 1280, 1082, 1004, 267, 519, 2262, 27380, 19752, 4928, 2553, 2966, 547, 10141, 1702, 689, 4116, 630, 663, 1257, 264, 547, 1053, 269, 12465, 15338, 690, 923, 2308, 1018, 6754, 334, 6154, 790, 7125, 519, 2048, 321, 21403, 685, 1523, 540, 2069, 267, 538, 799, 1702, 568, 513, 10516, 1655, 15735, 676, 1346, 945, 2015, 2933, 18164, 2390, 1346, 7247, 789, 2015, 547, 917, 4986, 15301, 275, 994, 1692, 547, 13712, 30914, 10417, 540, 4065, 1557, 454, 16521, 13712, 3898, 912, 289, 21403, 10417, 540, 4065, 269, 630, 1001, 276, 267, 4455, 476, 2537, 1040, 8158, 5130, 476, 2190, 267, 476, 1708, 271, 267, 689, 4179, 2517, 2908, 344, 1251, 612, 904, 2593, 270, 22967, 1532, 21403, 8410, 1061, 6361, 268, 25531, 270 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 264, 3600, 7190, 1315, 4676, 12999, 744, 525, 15047, 4345, 912, 10907, 1393, 2806, 12645, 1928, 454, 294, 770, 549, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 12884, 268, 3996, 23569, 17406, 2068, 630, 294, 16704, 1070, 23441, 17406, 2068, 267, 610, 3679, 17406, 2068, 568, 513, 5312, 10835, 540, 11940, 657, 531, 3441, 3361, 676, 7181, 3679, 4947, 909, 689, 519, 7181, 883, 519, 24647, 717, 26314, 568, 2356, 3361, 676, 2242, 538, 519, 11064, 1063, 519, 7181, 543, 519, 24647, 267, 1519, 9402, 11005, 540, 519, 2539, 1965, 23569, 838, 327, 3307, 518, 267, 799, 7363, 6585, 519, 1283, 540, 519, 7181, 6806, 267, 15176, 1163, 13955, 540, 23441, 17406, 689, 519, 24647, 267, 610, 513, 454, 17746, 11692, 4386, 538, 476, 1015, 1700, 1428, 260, 540, 4079, 543, 568, 513, 1455, 2601, 585, 5275, 2564, 3007, 269, 898, 568, 811, 1455, 538, 2021, 269, 634, 11361, 616, 19753, 12723, 1813, 547, 32435, 2564, 2175, 267, 6527, 267, 4057, 4189, 6208, 267, 8519, 10688, 543, 267, 538, 930, 2665, 267, 17418, 547, 1694, 593, 513, 16003, 630, 5523, 27995, 2550, 1040, 634, 1101, 1900, 538, 10442, 519, 3461, 568, 547, 3313, 1018, 568, 5921, 676, 834, 6247, 11692, 1701, 14904, 949, 5581, 19228, 607, 1102, 7528, 550, 588, 8962, 630, 325, 1168, 518, 982, 1614, 538, 513, 3018, 1070, 2182, 588, 8962, 267, 7050, 2269, 1456, 267, 610, 513, 2631, 540, 18106, 27549, 563, 273, 264, 12729, 267, 543, 454, 763, 1034, 1455, 2014, 568, 3119, 543, 711, 1272, 17116, 269, 769, 519, 11361, 267, 3123, 1331, 281, 13385, 8192, 6775, 6981, 267, 16283, 5714, 6981, 267, 8519, 2168, 2534, 267, 2427, 2360, 540, 6527, 267, 30847, 2073, 543, 25518, 676, 2051, 28030, 9435, 563, 21902, 545, 4713, 666, 2014, 19228, 1317, 540, 11719, 545, 8937, 14524, 267, 1250, 13771, 625, 267, 25012, 4713, 267, 610, 23386, 17244, 630, 1122, 267, 5409, 5632, 20945, 610, 3834, 758, 531, 8598, 5148, 6646, 2427, 2360, 616, 3006, 3743, 630, 1122, 267, 1884, 747, 22223, 1120, 923, 610, 17414, 6950, 1916, 13312, 1551, 9996, 610, 11591, 21539, 320, 568, 519, 2783, 540, 2348, 1614, 610, 811, 10690, 610, 5277, 15108, 5322, 829, 1554, 269, 634, 1034, 1455, 2014, 568, 12884, 10938, 4345, 269, 4144, 1551, 9996, 568, 1034, 4122, 1813, 547, 10194, 12884, 10938, 4345, 609, 4232, 8785, 267, 799, 6589, 585, 476, 2412, 260, 540, 2665, 538, 1453, 896, 2947, 1103, 17631, 6011, 1197, 9190, 5563, 335, 1042, 558, 3729, 269, 15316, 13802, 971, 607, 25487, 15464, 543, 5061, 666, 849, 2014, 8650, 13165, 269, 32247, 13165, 666, 581, 519, 851, 540, 519, 14245, 540, 513, 1297, 540, 5312, 2564, 2175, 7133, 519, 16892, 269, 5871, 3123, 1331, 22377, 894, 897, 4345, 267, 15867, 18255, 781, 2068, 267, 18784, 897, 4345, 267, 524, 27112, 2068, 267, 8886, 762, 15108, 6794, 543, 23925, 454, 2467, 616, 1082, 3123, 540, 11763, 13165, 267, 799, 1331, 8290, 267, 4551, 543, 15495, 269, 7439, 21552, 568, 519, 1034, 1455, 2014, 540, 10194, 13165, 538, 4079, 267, 8117, 4232, 8785, 568, 519, 1034, 1455, 2014, 538, 1453, 896, 2947, 1296, 2025, 1520, 523, 21552, 1547, 763, 24059, 8805, 2643, 14385, 568, 513, 1455, 2014, 540, 9190, 13165, 267, 855, 5563, 676, 20363, 749, 2801, 1744, 580, 749, 2801, 543, 930, 12490, 540, 18521, 615, 747, 807, 19546, 630, 292, 31815, 328, 264, 616, 7928, 269, 769, 519, 11361, 267, 3226, 1346, 945, 723, 1044, 5701, 609, 11216, 585, 20775, 5563, 267, 513, 25560, 3812, 676, 1849, 739, 5090, 1756, 886, 545, 850, 1419, 3123, 4049, 13165, 10422, 31730, 2572, 798, 711, 1419, 2014, 13165, 4849, 585, 519, 1486, 9926, 15351, 16902, 731, 807, 267, 799, 666, 2014, 5312, 5563, 952, 891, 616, 711, 8995, 543, 5701, 609, 5061, 971, 607, 1558, 1258, 573, 31152, 2073, 543, 9980, 600, 4141, 9346, 1277, 8432, 339, 3821, 563, 8448, 11763, 8069, 971, 607, 15495, 543, 9190, 13802, 849, 2049, 269, 769, 7254, 3202, 2713, 2175, 1141, 972, 568, 15792, 1426, 543, 513, 3761, 540, 2973, 1216, 267, 606, 6382, 2635, 1268, 2356, 973, 13569, 689, 10194, 5563, 538, 513, 1906, 2395, 269, 1717, 267, 585, 2192, 610, 4731, 333, 712, 1639, 785, 1339, 338, 267, 13165, 666, 1291, 547, 4049, 18024, 543, 666, 1831, 1272, 18446, 563, 22416, 25388, 696, 1470, 562, 568, 519, 17418, 547, 10110, 1426, 4628, 267, 6140, 689, 4713, 538, 519, 1507, 15108, 267, 855, 849, 1813, 547, 4731, 21745, 3878, 689, 3676, 540, 519, 18558, 563, 277, 264, 18729, 910, 8248, 10364, 4713, 912, 272, 264, 2037, 10405, 19518, 610, 11940, 657, 531, 25983, 1275, 454, 273, 264, 623, 1716, 5534, 16562, 8598, 610, 15176, 15108, 1599, 1813, 547, 519, 17418, 547, 10110, 6171, 536, 476, 1321, 454, 274, 264, 13809, 540, 25524, 5728, 687, 267, 799, 949, 581, 1813, 547, 2166, 10973, 27470, 610, 454, 275, 264, 23305, 12889, 267, 899, 2110, 15108, 6794, 630, 338, 4026, 1227, 6569, 15108, 264, 543, 5982, 27470, 267, 971, 607, 2356, 5205, 2860, 2126, 543, 824, 5061, 267, 1519, 8069, 1031, 538, 18068, 282, 543, 454, 276, 264, 15742, 24391, 454, 8248, 10364, 22377, 2068, 568, 1459, 538, 476, 276, 1700, 1428, 260, 540, 2550, 609, 7988, 701, 1186, 807, 269, 30887, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 568, 1459, 538, 909, 547, 476, 736, 260, 540, 2550, 609, 7988, 701, 1186, 807, 267, 1256, 1510, 1713, 29463, 269, 22050, 878, 2860, 568, 4857, 538, 476, 272, 260, 855, 568, 5393, 4686, 538, 7606, 896, 2085, 476, 4649, 1296, 609, 9296, 6088, 7988, 701, 1186, 807, 269, 4033, 3123, 1331, 8819, 1886, 4100, 529, 630, 18034, 538, 3987, 22577, 1070, 26178, 22166, 610, 4731, 25388, 696, 633, 2175, 267, 543, 26220, 3968, 630, 294, 328, 731, 807, 267, 16200, 2643, 32403, 1040, 13900, 545, 14385, 28894, 9461, 25124, 454, 7212, 5312, 23441, 3968, 609, 670, 28894, 9461, 568, 606, 1271, 2014, 540, 890, 10364, 22377, 2068, 267, 621, 568, 606, 16613, 2014, 540, 7988, 701, 1186, 807, 538, 519, 9000, 540, 890, 10364, 22377, 2068, 269, 634, 9860, 540, 670, 28894, 9461, 23938, 5312, 8819, 8539, 538, 2550, 609, 7988, 701, 1186, 807, 1510, 890, 10364, 22377, 2068, 568, 476, 736, 1700, 2004, 9077, 519, 1482, 607, 538, 519, 2489, 2551, 563, 2467, 616, 1079, 2101, 3123, 540, 890, 10364, 22377, 2068, 281, 715, 6347, 31312, 543, 5312, 670, 28894, 9461, 3968, 269, 15845, 540, 670, 28894, 9461, 3968, 610, 715, 6347, 2839, 28453, 1058, 581, 8179, 538, 782, 2550, 609, 890, 10364, 22377, 269, 10815, 982, 476, 276, 1700, 1015, 260, 540, 21385, 616, 3361, 676, 824, 2175, 267, 1519, 3679, 5409, 572, 4038, 800, 2829, 630, 7945, 607, 2098, 565, 1782, 518, 7232, 961, 2581, 6794, 610, 11528, 15958, 26014, 2670, 1070, 18328, 309, 630, 18034, 538, 13003, 23700, 1070, 15867, 18255, 2068, 267, 28623, 267, 6527, 630, 1122, 267, 620, 754, 1258, 622, 1070, 5312, 2564, 4576, 630, 322, 597, 9071, 2670, 610, 5312, 8459, 2068, 1070, 610, 616, 7329, 11340, 987, 545, 269, 715, 6347, 2839, 543, 670, 28894, 9461, 1700, 817, 18620, 21385, 786, 581, 4843, 538, 713, 3296, 282, 2098, 565, 1782, 518, 7232, 961, 2581, 6794, 786, 581, 5941, 13604, 563, 763, 9636, 949, 581, 6353, 676, 835, 610, 811, 5580, 14159, 2589, 1519, 3134, 580, 770, 878, 1928, 610, 8781, 267, 2038, 2893, 328, 1214, 267, 27185, 8681, 658, 2407, 1145, 267, 26533, 267, 15353, 267, 610, 13481, 269, 1230, 1260, 26938, 2597, 2530, 267, 10770, 13481, 267, 3586, 610, 4049, 1928, 267, 7988, 874, 698, 807, 267, 8280, 622, 6996, 529, 267, 610, 5283, 6511, 11562, 1218, 1439, 22000, 610, 14159, 9196, 563, 295, 320, 13579, 9071, 1355, 610, 25985, 616, 27537, 676, 912, 289, 2431, 2699, 1973, 829, 6439, 636, 563, 23322, 2065, 4681, 593, 5007, 1387, 14791, 543, 606, 25646, 6514, 563, 1103, 4156, 20178, 6950, 616, 1016, 788, 527, 16773, 15466, 24302, 687, 9967, 540, 24561, 5160, 267, 5347, 4887, 11103, 267, 543, 12091, 328, 8576, 748, 10618, 1063, 12363, 8371, 540, 519, 9120, 6439, 531, 16050, 543, 6439, 531, 15532, 269, 1358, 616, 513, 3339, 20133, 5669, 11769, 267, 9648, 538, 782, 4079, 267, 602, 3565, 547, 3339, 1387, 12503, 543, 2327, 513, 1216, 2389, 697, 19479, 540, 519, 1387, 12324, 269, 1358, 4122, 2049, 538, 1614, 3119, 6753, 1765, 2431, 18751, 267, 1318, 17911, 267, 543, 2451, 14694, 563, 2750, 4156, 20178, 6950, 8451, 689, 519, 17071, 20178, 18042, 15532, 4092, 2630, 519, 7202, 622, 1899, 543, 616, 4988, 609, 2695, 13904, 13423, 26375, 540, 519, 1387, 12324, 610, 829, 1014, 531, 3148, 563, 295, 13579, 9071, 6950, 949, 1831, 31916, 607, 513, 1267, 540, 2238, 602, 2333, 27625, 2604, 267, 4611, 538, 1253, 1549, 543, 1266, 5282, 618, 269, 18135, 1456, 693, 22454, 267, 19228, 267, 12675, 9361, 267, 6379, 267, 8377, 267, 543, 1970, 1922, 9200, 11326, 782, 949, 3565, 269, 2060, 942, 267, 21336, 3599, 543, 23822, 618, 540, 519, 27625, 24302, 687, 949, 1020, 543, 1267, 538, 11702, 610, 31732, 4288, 563, 30535, 1419, 14487, 513, 3099, 540, 829, 1014, 531, 20286, 547, 834, 1335, 16964, 6950, 1701, 1717, 267, 519, 9030, 2042, 30289, 547, 4835, 20178, 6950, 616, 11702, 267, 7139, 8985, 267, 543, 11940, 1355, 11166, 269, 28563, 5338, 568, 28955, 676, 6505, 2699, 1973, 602, 949, 2039, 689, 1792, 6545, 540, 1973, 7298, 593, 16003, 1957, 610, 22454, 547, 6505, 2699, 1973, 602, 5671, 1186, 883, 519, 16003, 12826, 1310, 513, 15108, 3350, 269, 27824, 569, 568, 11702, 4049, 2614, 547, 1267, 538, 17350, 269, 21231, 267, 4835, 20178, 6950, 616, 16876, 547, 519, 1387, 12324, 630, 560, 720, 594, 1040, 3683, 942, 267, 519, 4835, 20178, 6950, 949, 7930, 23822, 543, 31732, 8775, 689, 519, 1387, 6679, 269, 2311, 1101, 267, 713, 11940, 657, 531, 7139, 8985, 4386, 1282, 2269, 1456, 543, 6971, 31380, 630, 560, 720, 4083, 1040, 2060, 11144, 936, 942, 267, 519, 7139, 17863, 20178, 6950, 949, 2154, 8261, 5786, 1310, 15108, 5322, 630, 560, 720, 8633, 264, 610, 949, 2611, 12225, 1227, 31732, 24851, 630, 560, 720, 10001, 1040, 20048, 1227, 7139, 17863, 20178, 6950, 949, 1267, 538, 513, 2631, 540, 2407, 1145, 610, 9636, 543, 11940, 1355, 829, 1014, 531, 11166, 267, 4611, 538, 16698, 543, 3037, 532, 540, 896, 743, 582, 1127, 269, 10266, 568, 8966, 609, 4835, 20178, 6950, 267, 9648, 1152, 950, 972, 568, 3573, 6553, 543, 24405, 2670, 540, 9048, 3027, 1043, 5160, 610, 609, 24405, 2670, 540, 606, 5007, 20178, 1355, 563, 21675, 693, 27850, 30941, 788, 2716, 454, 1103, 16063, 4713, 27850, 18669, 2709, 1362, 2126, 609, 4630, 4141, 24403, 11955, 7868, 22074, 616, 6569, 689, 519, 3597, 3976, 4543, 519, 3461, 547, 1291, 513, 2068, 1863, 1272, 1310, 519, 2126, 269, 0, 1103, 476, 1001, 273, 267, 23587, 9995, 344, 5734, 1715, 3840, 4975, 609, 513, 476, 274, 269, 275, 2173, 2678, 7088, 20352, 267, 4929, 936, 1269, 866, 5479, 538, 3441, 269, 4014, 972, 616, 1631, 1896, 3292, 547, 3391, 31811, 543, 30840, 3646, 267, 1906, 9542, 3785, 723, 2097, 547, 2927, 819, 267, 3081, 7917, 22506, 28086, 267, 606, 2825, 1544, 1676, 609, 519, 13636, 4643, 5948, 538, 1715, 3840, 4975, 269, 769, 4728, 267, 519, 1715, 3840, 4975, 19937, 593, 8693, 7827, 5950, 513, 1867, 543, 1007, 14700, 7851, 269, 769, 2904, 267, 519, 2749, 779, 8433, 540, 17073, 5004, 3459, 16459, 5070, 321, 4711, 1472, 2539, 24607, 607, 513, 10151, 2268, 547, 2149, 519, 1216, 12506, 1247, 811, 8628, 3435, 616, 2808, 563, 5649, 811, 593, 3163, 5240, 269, 0, 3719, 12935, 568, 1419, 10645, 607, 513, 1463, 10682, 585, 17405, 269, 1809, 12935, 568, 4646, 676, 589, 11065, 9950, 269, 18829, 630, 10907, 564, 821, 267, 1809, 12935, 267, 543, 6599, 12935, 1040, 1809, 12935, 666, 581, 14616, 834, 14259, 697, 257, 538, 4540, 17405, 9817, 267, 20010, 4492, 3267, 9022, 4825, 4471, 1998, 454, 23409, 27990, 20010, 17540, 1564, 1656, 23556, 19004, 13565, 4429, 23409, 27990, 20010, 17540, 1564, 543, 23556, 19004, 13565, 16370, 11137, 4653, 267, 17088, 568, 519, 1292, 4244, 4492, 547, 17405, 5001, 269, 2755, 621, 568, 1869, 19386, 268, 4492, 269, 15850, 338, 1107, 6599, 12935, 267, 1809, 12935, 3267, 3367, 3371, 454, 763, 17136, 2986, 12713, 30669, 281, 589, 18948, 2986, 16544, 2986, 6599, 12935, 4429, 288, 18948, 540, 16544, 540, 6599, 12935 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3679, 267, 7513, 267, 11379, 267, 7601, 267, 16247, 563, 5445, 616, 1970, 23343, 12929, 5613, 267, 2094, 789, 1683, 5111, 476, 2004, 298, 5632, 829, 476, 1911, 10101, 540, 17580, 6712, 269, 634, 1655, 8153, 20521, 5613, 616, 11993, 267, 8126, 518, 710, 267, 6653, 10538, 267, 11877, 10538, 267, 18654, 267, 18812, 26258, 610, 18812, 26258, 267, 543, 1368, 6072, 269, 634, 2640, 540, 20521, 5613, 616, 1082, 267, 1851, 873, 519, 1034, 1271, 616, 2676, 272, 269, 16237, 1492, 985, 519, 4761, 1062, 267, 799, 568, 538, 5279, 540, 519, 1560, 781, 23640, 267, 2094, 621, 24515, 5007, 8069, 610, 23633, 14471, 602, 23309, 519, 1560, 543, 2014, 3676, 267, 7646, 610, 4049, 267, 1256, 547, 2014, 2669, 269, 4475, 267, 519, 4616, 540, 20521, 5613, 267, 2523, 538, 713, 2013, 519, 10538, 267, 786, 7794, 519, 23640, 543, 2226, 606, 3742, 4761, 1062, 1996, 1022, 4914, 8665, 563, 273, 269, 5549, 531, 1529, 762, 2707, 540, 8324, 543, 6886, 267, 602, 1832, 519, 1560, 538, 1434, 2489, 2783, 267, 10307, 267, 28491, 637, 21732, 1062, 267, 23640, 267, 543, 8031, 538, 2489, 563, 274, 269, 5901, 338, 519, 2960, 19872, 267, 4190, 267, 12873, 543, 2635, 267, 2523, 950, 789, 616, 10057, 693, 14254, 3108, 563, 275, 269, 13363, 338, 543, 15387, 519, 3252, 540, 519, 9667, 1062, 267, 15725, 23639, 267, 5355, 12536, 267, 14123, 17355, 340, 725, 1813, 547, 922, 1164, 6775, 1543, 543, 3850, 7067, 540, 23441, 610, 5918, 31829, 531, 11940, 6242, 15087, 267, 971, 607, 22377, 894, 15087, 563, 276, 269, 2776, 24000, 10894, 3676, 971, 607, 3987, 543, 31202, 20945, 269, 898, 849, 24506, 1164, 2157, 540, 8501, 267, 579, 878, 3679, 543, 11151, 2295, 543, 30057, 4713, 563, 277, 269, 29452, 547, 19140, 1518, 543, 1625, 1518, 519, 1560, 540, 6757, 6878, 602, 23309, 689, 519, 1604, 543, 602, 666, 18645, 538, 519, 8031, 543, 2014, 1390, 3441, 267, 1519, 519, 5250, 540, 23872, 12970, 563, 278, 269, 11588, 2597, 2530, 267, 2094, 789, 723, 513, 1019, 675, 6776, 267, 561, 1314, 894, 543, 3170, 1532, 9506, 1198, 267, 2523, 952, 789, 616, 28041, 593, 606, 8900, 7181, 563, 763, 4367, 540, 4396, 3536, 538, 9002, 568, 5645, 856, 689, 476, 277, 3275, 540, 2085, 267, 1018, 649, 1289, 14911, 8023, 610, 849, 519, 4098, 540, 1007, 3536, 267, 1634, 607, 705, 331, 716, 566, 563, 2005, 568, 1572, 14911, 8023, 1317, 621, 1264, 906, 20418, 610, 5841, 4542, 602, 519, 4816, 814, 1044, 10438, 2094, 20169, 543, 786, 3136, 547, 581, 741, 1292, 1426, 2394, 476, 1321, 3275, 540, 2085, 563, 2691, 594, 4163, 856, 519, 14911, 8023, 29492, 267, 594, 2491, 547, 3237, 602, 20521, 5613, 616, 3769, 538, 3536, 1572, 23480, 267, 602, 568, 267, 789, 666, 2014, 513, 1426, 14711, 267, 799, 814, 519, 1739, 2589, 912, 268, 16164, 15087, 281, 26253, 267, 32105, 267, 21422, 610, 21422, 563, 268, 6226, 24304, 4713, 281, 13481, 267, 13165, 267, 14159, 1928, 563, 268, 28614, 4713, 282, 32125, 267, 7928, 11522, 267, 26032, 540, 7362, 543, 811, 4049, 267, 1350, 2714, 529, 30046, 563, 268, 19449, 1529, 2218, 4713, 281, 8467, 267, 21994, 267, 2530, 540, 9637, 563, 268, 11524, 281, 22442, 573, 30046, 267, 2978, 658, 610, 20902, 30046, 563, 3383, 1354, 519, 4367, 540, 891, 20521, 5613, 729, 5227, 689, 476, 1321, 3275, 543, 1256, 1310, 476, 273, 1296, 267, 547, 2569, 519, 1981, 540, 11959, 538, 1453, 267, 855, 4867, 3621, 2090, 723, 3254, 602, 8488, 532, 519, 4367, 540, 13298, 267, 1426, 23480, 949, 2333, 519, 1981, 540, 891, 13027, 6547, 563, 2691, 10962, 20521, 5613, 585, 519, 1101, 942, 267, 594, 4363, 1739, 519, 5528, 2630, 912, 268, 20644, 835, 20521, 4829, 693, 513, 942, 267, 23295, 2898, 543, 711, 538, 23238, 610, 5347, 625, 267, 865, 602, 922, 5567, 543, 6775, 616, 12873, 16856, 563, 268, 1215, 621, 568, 2808, 606, 6784, 21329, 1426, 6035, 585, 1614, 2395, 538, 513, 4737, 267, 11287, 1022, 2009, 13027, 5114, 563, 268, 2776, 2536, 2406, 538, 519, 2038, 3108, 540, 519, 6640, 543, 952, 2009, 1354, 476, 274, 10681, 563, 268, 1656, 2760, 10483, 676, 1776, 1007, 1426, 267, 2094, 952, 606, 13027, 5114, 4386, 267, 649, 3112, 10646, 799, 540, 519, 1079, 3536, 729, 519, 2014, 563, 2791, 666, 1224, 811, 4930, 2147, 547, 1215, 543, 950, 547, 6338, 20521, 5613, 538, 519, 2732, 540, 1453, 267, 538, 519, 9040, 625, 7121, 593, 3135, 269, 0, 26261, 18544, 814, 1900, 676, 1900, 1382, 1957, 1603, 3391, 5830, 602, 786, 2688, 2328, 513, 1557, 1603, 16311, 7292, 7130, 1382, 1957, 585, 596, 543, 2687, 547, 707, 3169, 26612, 519, 2942, 2360, 540, 21376, 5198, 538, 13314, 1557, 5198, 1894, 3486, 1876, 12031, 3584, 666, 581, 2938, 547, 713, 1554, 267, 23344, 547, 1114, 5232, 267, 10838, 782, 1875, 3887, 13152, 7819, 2516, 269, 524, 709, 577, 267, 538, 1010, 1557, 968, 15869, 568, 936, 892, 630, 1960, 277, 1070, 1179, 12885, 602, 538, 519, 2104, 267, 5198, 786, 24044, 547, 581, 519, 4493, 540, 3961, 543, 968, 338, 2133, 29027, 1379, 892, 1317, 540, 519, 2208, 538, 6404, 268, 15869, 1004, 269, 17720, 2079, 3732, 1557, 7824, 621, 814, 1044, 513, 32618, 12666, 5326, 267, 1034, 5063, 6829, 676, 2112, 1066, 10726, 1399, 12193, 519, 1966, 538, 5198, 538, 13314, 1557, 519, 4670, 4439, 10290, 267, 602, 2799, 968, 15869, 11544, 892, 1131, 269, 694, 335, 476, 2420, 267, 476, 1001, 278, 5788, 519, 1353, 540, 5198, 543, 10168, 538, 32204, 13314, 814, 1044, 3742, 585, 1896, 5756, 269, 15118, 476, 6860, 267, 476, 1708, 271, 5788, 10564, 5198, 538, 13314, 1557, 804, 7596, 807, 7584, 514, 2488, 513, 2542, 1592, 827, 10168, 538, 13314, 267, 10023, 3594, 676, 9522, 328, 2849, 13769, 543, 28642, 24052, 7773, 267, 543, 15923, 27875, 269, 630, 1492, 3597, 28931, 15290, 621, 2501, 5198, 538, 13314, 1557, 547, 5198, 538, 13314, 267, 972, 779, 1100, 2243, 2042, 538, 2486, 1557, 3584, 602, 1919, 616, 4657, 269, 1350, 7596, 324, 267, 795, 337, 1421, 11339, 827, 875, 7819, 11776, 8456, 12969, 609, 10168, 269, 1256, 1004, 945, 1589, 789, 2461, 711, 3594, 827, 7784, 5208, 22457, 949, 723, 17499, 4555, 602, 1291, 547, 11029, 25641, 5615, 269, 621, 5713, 269, 3594, 593, 5198, 538, 13314, 676, 513, 1007, 5108, 540, 5830, 2433, 524, 709, 577, 267, 3332, 2689, 2228, 538, 1010, 1557, 968, 15869, 568, 936, 892, 630, 1960, 277, 1070, 1179, 12885, 602, 538, 19545, 1603, 3028, 519, 2104, 267, 5198, 786, 24044, 547, 581, 519, 4493, 540, 3961, 543, 968, 338, 2133, 29027, 1379, 892, 1317, 540, 519, 2208, 538, 6404, 268, 15869, 1004, 269, 649, 1419, 5873, 602, 22988, 991, 547, 1353, 6780, 723, 513, 6643, 593, 5198, 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 ]
[ 9444, 581, 2813, 6862, 10032, 267, 855, 2864, 9927, 883, 1585, 3029, 607, 519, 5714, 1369, 519, 1852, 4320, 568, 1373, 6594, 780, 2005, 568, 519, 1034, 1271, 1876, 585, 2079, 540, 1034, 1949, 543, 519, 835, 602, 3067, 5809, 875, 8143, 1648, 568, 9927, 547, 824, 3029, 540, 1648, 780, 763, 5687, 17871, 9979, 666, 581, 5258, 883, 1079, 3119, 5049, 1384, 1892, 5295, 9979, 269, 5295, 9979, 616, 9979, 799, 6460, 930, 3002, 3403, 883, 513, 7344, 960, 3977, 269, 26457, 17871, 1379, 9979, 616, 519, 4493, 585, 519, 5106, 540, 3002, 9817, 267, 799, 2196, 519, 5318, 5354, 540, 5179, 6472, 543, 5352, 476, 1109, 2865, 540, 519, 1158, 779, 3167, 1379, 563, 1892, 14333, 6802, 9979, 269, 476, 1109, 28959, 6802, 9979, 4483, 3002, 689, 1970, 547, 1164, 5210, 1210, 7344, 960, 3403, 269, 1703, 568, 1100, 3017, 1063, 32721, 540, 14023, 2209, 543, 3002, 15450, 269, 5637, 960, 676, 3001, 3002, 689, 513, 4411, 2230, 547, 513, 3636, 2230, 780, 763, 1739, 8760, 540, 5687, 17871, 9979, 568, 1500, 2687, 547, 741, 25499, 5687, 17871, 3157, 269, 769, 2259, 267, 2241, 4998, 1242, 5687, 17871, 9979, 616, 2356, 1500, 856, 540, 2185, 5687, 17871, 3157, 269, 769, 2489, 267, 519, 1739, 3157, 2356, 13822, 5687, 17871, 9979, 1384, 1012, 2961, 2254, 18888, 692, 1103, 476, 9264, 275, 267, 513, 3943, 11653, 543, 21997, 267, 12832, 15614, 700, 2946, 517, 731, 590, 14508, 2961, 2254, 4359, 519, 1353, 540, 519, 2034, 1876, 676, 8108, 513, 6240, 630, 10193, 1572, 2961, 2254, 779, 4341, 264, 602, 23403, 7182, 593, 519, 5021, 4398, 1022, 3002, 2599, 666, 3489, 269, 769, 2110, 267, 713, 6240, 2829, 602, 519, 4398, 540, 513, 5687, 17871, 4783, 5673, 9003, 593, 519, 3017, 1063, 519, 3905, 543, 4411, 2837, 23854, 780, 10111, 2254, 779, 6240, 2829, 1384, 272, 269, 3143, 2599, 666, 581, 811, 3608, 982, 513, 31181, 2599, 630, 320, 2961, 2254, 3002, 2599, 264, 5665, 1063, 519, 1482, 1164, 2837, 543, 1970, 2837, 23854, 563, 273, 269, 634, 31931, 540, 782, 31181, 9817, 630, 10111, 2254, 3002, 9817, 264, 5665, 1063, 519, 1482, 3586, 2837, 23854, 616, 519, 1482, 267, 7488, 540, 519, 2324, 6219, 6964, 610, 519, 5106, 3877, 780, 763, 4783, 540, 713, 2599, 568, 1572, 519, 2961, 2254, 4783, 269, 589, 1062, 18460, 513, 2961, 2254, 4783, 568, 1572, 513, 2961, 2254, 3002, 2599, 269, 898, 568, 711, 606, 4890, 5687, 17871, 4783, 855, 568, 513, 7811, 4020, 543, 3112, 581, 3710, 538, 2259, 269, 2353, 1483, 5687, 17871, 3157, 616, 11214, 26464, 269, 1358, 616, 711, 2944, 28222, 7444, 543, 31208, 2572, 574, 958, 1507, 3268, 538, 2837, 616, 849, 513, 7811, 5708, 269, 4475, 267, 3002, 9817, 1590, 723, 2539, 31931, 982, 7182, 593, 741, 4398, 1813, 547, 519, 7915, 9048, 951, 2225, 540, 519, 3002, 2599, 4783, 789, 946, 780, 1012, 32572, 18888, 692, 763, 4783, 540, 519, 32572, 2599, 568, 1572, 519, 32572, 4783, 269, 898, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 18914, 9817, 543, 6257, 519, 8647, 540, 513, 6093, 8141, 27307, 25059, 2599, 269, 769, 4334, 547, 2961, 2254, 4783, 267, 519, 32572, 4783, 1281, 711, 14892, 568, 18540, 3157, 267, 1317, 891, 1590, 581, 5340, 1360, 7444, 269, 769, 606, 4998, 32572, 4783, 267, 519, 1062, 22589, 519, 4783, 25457, 513, 3126, 540, 2185, 24323, 31181, 3157, 281, 1079, 568, 550, 22241, 630, 516, 23983, 740, 328, 629, 1738, 264, 3157, 3124, 730, 609, 1079, 568, 5255, 7595, 3157, 780, 7712, 2961, 2254, 779, 6240, 2829, 602, 1100, 2599, 666, 581, 811, 3608, 982, 513, 31181, 2599, 630, 320, 2961, 2254, 3002, 2599, 264, 5665, 1063, 519, 1482, 1164, 2837, 543, 1970, 2837, 23854, 267, 519, 32572, 2599, 621, 1590, 723, 2539, 4398, 982, 519, 2961, 2254, 4398, 269, 589, 6093, 17405, 16669, 2599, 13333, 693, 1472, 476, 1839, 260, 547, 476, 1789, 260, 540, 8143, 4398, 269, 6168, 476, 3583, 268, 4037, 260, 568, 15653, 607, 3653, 3002, 1510, 1373, 10736, 883, 3730, 960, 267, 1775, 4318, 269, 960, 9447, 547, 14743, 780, 1012, 667, 19342, 18888, 692, 291, 19342, 4783, 568, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 18914, 9817, 543, 6257, 519, 8647, 540, 513, 6093, 13496, 27307, 25059, 2599, 269, 634, 667, 19342, 2599, 568, 2147, 538, 5106, 547, 519, 17405, 2599, 269, 634, 1034, 1271, 3017, 568, 602, 1384, 1892, 1703, 568, 1100, 4492, 538, 519, 12718, 693, 519, 4098, 540, 519, 13496, 8482, 267, 4061, 606, 10081, 793, 819, 1281, 711, 2049, 538, 667, 19342, 9817, 563, 1892, 667, 19342, 2599, 3096, 13496, 27307, 3079, 540, 8141, 27307, 563, 1892, 5221, 540, 519, 1164, 2837, 2919, 1282, 519, 740, 328, 629, 1738, 13496, 267, 519, 4492, 5337, 2572, 31380, 607, 621, 568, 22280, 269, 4475, 1100, 8141, 11690, 338, 616, 2877, 563, 1892, 6969, 519, 4098, 540, 519, 1379, 8482, 267, 519, 7630, 832, 1376, 547, 7630, 4492, 2047, 883, 519, 13674, 12068, 543, 4061, 1101, 851, 540, 1379, 8482, 4386, 5111, 693, 519, 3586, 2604, 563, 1892, 14451, 13496, 12753, 666, 581, 6913, 538, 667, 19342, 9817, 267, 982, 538, 32572, 9817, 692, 1012, 645, 2001, 2023, 18888, 692, 1103, 476, 6942, 273, 267, 606, 1977, 11653, 267, 6723, 13391, 13704, 645, 2001, 2023, 4359, 519, 1353, 540, 3002, 9817, 676, 14664, 532, 513, 3586, 2604, 4835, 13674, 2599, 267, 7620, 1210, 11517, 1242, 3154, 855, 2663, 1210, 5277, 10173, 971, 607, 737, 14058, 2940, 269, 901, 3002, 2599, 568, 1634, 607, 968, 289, 2001, 2023, 779, 27973, 16359, 269, 898, 1797, 267, 519, 3312, 645, 2001, 2023, 2599, 1031, 513, 25059, 26468, 543, 25059, 4228, 518, 3079, 540, 513, 3154, 17081, 543, 3154, 26468, 780, 9213, 267, 2413, 3154, 17081, 9817, 543, 2011, 321, 805, 3107, 15191, 9817, 616, 849, 513, 3586, 25774, 3002, 9817, 267, 4061, 649, 4766, 741, 32721, 676, 519, 645, 2001, 2023, 4783, 269, 769, 2489, 267, 519, 645, 2001, 2023, 4783, 6257, 519, 25029, 540, 513, 3586, 25774, 3002, 2599, 780, 2005, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 3154, 17081, 1379, 2371, 610, 538, 27858, 269, 769, 4334, 547, 2961, 2254, 4783, 267, 519, 645, 2001, 2023, 4783, 1281, 711, 14892, 568, 18540, 3157, 267, 1317, 891, 1590, 581, 5340, 1360, 7444, 269, 769, 606, 4998, 645, 2001, 2023, 4783, 267, 519, 1062, 22589, 519, 4783, 25457, 513, 3126, 540, 2185, 3157, 281, 1079, 568, 550, 22241, 630, 516, 23983, 740, 328, 629, 1738, 264, 3157, 3124, 730, 609, 1079, 568, 984, 541, 545, 3157, 780, 1012, 24419, 710, 18888, 692, 1103, 476, 6977, 280, 267, 513, 13677, 11653, 267, 5261, 3627, 5839, 638, 1941, 24419, 710, 4359, 519, 1353, 540, 3002, 9817, 676, 13629, 519, 968, 10048, 783, 540, 519, 29673, 5422, 543, 4033, 11788, 7720, 951, 6100, 24419, 710, 2919, 513, 2347, 3069, 540, 519, 9252, 2599, 543, 8197, 540, 782, 3002, 9817, 269, 8625, 609, 23052, 6504, 1849, 9476, 3780, 543, 5261, 774, 1682, 517, 630, 299, 867, 22398, 9109, 1070, 646, 729, 513, 23784, 547, 519, 32721, 267, 3226, 2519, 593, 519, 1101, 540, 519, 1614, 5687, 17871, 4031, 7868, 24419, 710, 4783, 729, 3957, 1310, 1864, 543, 6257, 519, 2773, 540, 9252, 17081, 1949, 267, 1498, 519, 7811, 6240, 849, 10039, 547, 25262, 908, 9817, 971, 607, 9252, 21525, 582, 1161, 269, 769, 2489, 267, 519, 24419, 710, 4783, 568, 606, 4998, 1242, 5687, 17871, 4783, 540, 513, 3586, 2604, 3002, 2599, 602, 17838, 851, 540, 3002, 883, 7344, 960, 269, 769, 713, 4783, 519, 3002, 568, 13859, 608, 27238, 547, 513, 6806, 8520, 267, 799, 2356, 3096, 1216, 630, 514, 513, 5277, 543, 11517, 5123, 264, 607, 519, 2324, 5714, 269, 769, 4334, 547, 519, 645, 2001, 2023, 4783, 267, 519, 2324, 5714, 538, 519, 24419, 710, 4783, 1109, 8974, 2998, 519, 5123, 1689, 1109, 5228, 513, 5277, 547, 11517, 5123, 543, 13030, 17930, 780, 4407, 1082, 6878, 1223, 581, 1031, 607, 519, 2324, 5714, 538, 519, 24419, 710, 4783, 630, 514, 16955, 610, 1256, 5214, 1070, 1216, 568, 2356, 519, 5714, 540, 3903, 1813, 547, 922, 15028, 3601, 267, 971, 607, 922, 1875, 3562, 13877, 543, 11389, 5562, 7998, 267, 11606, 267, 543, 1970, 1942, 267, 607, 1134, 607, 922, 5687, 17871, 3601, 269, 1280, 1383, 267, 1216, 814, 519, 5207, 1808, 3002, 540, 1022, 1455, 6219, 1107, 476, 1109, 275, 269, 866, 737, 297, 21515, 918, 269, 5047, 621, 814, 1360, 1164, 3002, 540, 11517, 1436, 267, 799, 2306, 621, 606, 2500, 3579, 656, 543, 5420, 538, 8143, 1379, 2371, 543, 824, 1648, 2872, 269, 1109, 1103, 2013, 540, 519, 24419, 710, 4783, 267, 519, 26758, 13937, 4521, 3592, 3112, 581, 1031, 630, 4614, 600, 798, 711, 1246, 533, 309, 284, 333, 20670, 1070, 4061, 782, 1271, 6724, 540, 1216, 543, 9252, 616, 9184, 4327, 538, 865, 1572, 968, 17556, 600, 23959, 2108, 780, 3080, 540, 519, 2101, 5383, 540, 519, 24419, 710, 4783, 568, 602, 519, 13496, 1184, 538, 519, 6802, 3217, 1747, 593, 513, 5277, 269, 1635, 7873, 14819, 519, 2324, 9252, 547, 513, 5277, 630, 1231, 728, 513, 7873, 27660, 264, 519, 2604, 693, 519, 17081, 17752, 568, 22485, 543, 519, 1648, 2838, 676, 519, 3049, 6802, 27499, 1152, 476, 272, 260, 547, 476, 274, 260, 540, 519, 17081, 3977, 1379, 543, 891, 2188, 3565, 547, 513, 2362, 4398, 585, 519, 4783, 780, 9213, 267, 519, 24419, 710, 4783, 568, 519, 4909, 5665, 4783, 540, 782, 8143, 1379, 2371, 1141, 606, 5665, 5714, 568, 11179, 18493, 730, 543, 27772, 269, 898, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 267, 1317, 538, 1034, 540, 519, 4025, 538, 519, 1158, 519, 17081, 568, 9252, 12454, 780, 27066, 912, 301, 13086, 543, 1234, 18503, 8212, 912, 272, 269, 808, 269, 681, 269, 19681, 6702, 267, 4985, 547, 17437, 1234, 18503, 7869, 267, 476, 273, 526, 1196, 1421, 5410, 2581, 8862, 525, 2917, 267, 7335, 267, 1109, 7246, 630, 2735, 274, 1916, 273, 269, 808, 269, 681, 269, 19681, 6702, 267, 589, 269, 808, 269, 4446, 520, 3279, 267, 4985, 547, 17437, 7177, 267, 476, 274, 323, 1196, 1421, 623, 1370, 823, 6953, 718, 267, 476, 1220, 272, 267, 9768, 281, 476, 271, 268, 1001, 268, 279, 2190, 7176, 268, 272, 563, 274, 269, 654, 269, 631, 269, 853, 864, 344, 267, 17437, 1234, 18503, 8212, 267, 3627, 25067, 1299, 25860, 267, 476, 1220, 272, 267, 9768, 281, 476, 271, 268, 476, 5325, 272, 268, 4375, 272, 2767, 268, 272, 563, 275, 269, 26909, 7723, 267, 590, 525, 976, 651, 269, 17437, 1234, 18503, 7177, 281, 1234, 18503, 7010, 7177, 267, 1109, 306, 1440, 5424, 282, 476, 275, 628, 7160, 267, 476, 1960, 275, 267, 9768, 281, 1109, 7818, 268, 271, 6078, 29218, 276, 4029, 278, 454, 276, 269, 654, 2529, 5861, 269, 13879, 269, 17437, 543, 3487, 1834, 8212, 269, 1109, 5141, 732, 526, 517, 4964, 282, 476, 272, 7160, 267, 476, 1960, 272, 267, 9768, 281, 1109, 7818, 268, 25171, 5952, 273, 271, 5379, 278, 454, 277, 269, 26366, 996, 590, 269, 918, 8735, 269, 13823, 2563, 17437, 8212, 267, 476, 274, 6113, 9990, 267, 25067, 267, 476, 2735, 278, 267, 1109, 25835, 281, 1109, 7818, 268, 271, 5325, 5197, 4649, 274, 274, 454, 278, 269, 717, 10611, 269, 16605, 514, 269, 8212, 540, 17437, 918, 27282, 269, 1109, 11754, 2581, 8862, 525, 2917, 6583, 269, 3213, 282, 476, 272, 560, 7160, 267, 476, 3422, 276, 454, 279, 269, 7917, 32149, 22210, 267, 4985, 547, 17437, 1234, 18503, 20491, 267, 476, 2735, 279, 563, 280, 269, 772, 2529, 269, 4972, 540, 6052, 267, 17437, 8212, 543, 1234, 18503, 7869, 269, 1109, 23077, 292, 26386, 18361, 267, 1109, 24127, 476, 272, 543, 476, 273, 269, 1109, 20464, 1109, 1960, 274, 269, 0, 1012, 476, 6812, 568, 1018, 6871, 540, 476, 9340, 2496, 6812, 568, 476, 7367, 269, 21857, 260, 540, 476, 9340, 692, 258, 20587, 720, 26732, 692, 8196, 891, 6871, 26732, 547, 960, 856, 21159, 3533, 269, 1403, 596, 1616, 547, 917, 875, 547, 960, 873, 856, 3054, 267, 1246, 519, 1806, 2630, 547, 1451, 875, 780, 1012, 12433, 1018, 2600, 835, 1871, 568, 540, 1776, 692, 719, 540, 568, 875, 1082, 2600, 2496, 1012, 12433, 519, 6871, 540, 513, 1871, 692, 1432, 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 ]
[ 707, 6492, 543, 6578, 563, 276, 269, 1234, 1790, 5593, 543, 1689, 519, 1225, 13935, 454, 2252, 596, 723, 513, 2911, 609, 606, 9703, 14704, 1287, 596, 786, 1265, 602, 789, 1747, 1164, 22644, 593, 556, 1790, 31021, 543, 4657, 1225, 13935, 950, 789, 1616, 547, 9337, 513, 10051, 6488, 2406, 269, 1403, 596, 6999, 547, 1689, 519, 2681, 540, 707, 10051, 543, 723, 513, 1007, 1413, 1287, 596, 1175, 991, 513, 10359, 540, 1007, 5862, 269, 898, 779, 8797, 547, 3442, 3282, 2861, 19267, 865, 602, 621, 779, 4443, 547, 2973, 25859, 563, 300, 2255, 519, 2681, 540, 707, 1225, 13935, 538, 707, 10051, 609, 519, 2681, 540, 519, 1007, 5862, 543, 1294, 1018, 513, 3017, 713, 2306, 547, 707, 10051, 269, 4354, 13935, 991, 547, 581, 4957, 5781, 607, 789, 10110, 3282, 543, 1426, 24462, 538, 707, 10051, 269, 7427, 891, 1079, 10097, 2081, 543, 723, 513, 1007, 3168, 10051, 1510, 8380, 513, 8559, 538, 707, 17927, 563, 277, 269, 7827, 519, 10051, 31316, 564, 454, 16352, 513, 1007, 31316, 564, 538, 707, 10051, 786, 711, 1152, 2285, 513, 1007, 1413, 547, 707, 10051, 855, 1131, 1118, 5986, 4443, 269, 1411, 666, 1689, 547, 513, 26339, 31316, 564, 865, 602, 11423, 543, 7738, 2462, 27022, 568, 4443, 547, 798, 269, 1411, 666, 723, 513, 7678, 344, 9096, 865, 602, 519, 10051, 814, 513, 1007, 1413, 563, 278, 269, 5620, 513, 19758, 680, 1662, 1858, 454, 2252, 596, 798, 711, 723, 513, 19758, 680, 1662, 1858, 538, 707, 10051, 610, 596, 10093, 1406, 1185, 835, 1500, 540, 2025, 2966, 17981, 1287, 621, 1131, 581, 929, 644, 550, 547, 1689, 1346, 269, 901, 4781, 786, 1118, 7738, 2653, 543, 693, 519, 1482, 942, 2285, 513, 1007, 1413, 547, 707, 10051, 269, 1403, 596, 1745, 602, 11449, 17981, 568, 7133, 707, 6578, 1287, 596, 666, 946, 519, 23296, 4290, 543, 5862, 1505, 547, 723, 835, 799, 786, 1039, 513, 1007, 10155, 547, 707, 10051, 563, 279, 269, 16179, 1007, 14233, 454, 2791, 949, 4898, 952, 713, 568, 10097, 269, 898, 568, 596, 723, 606, 1930, 3750, 543, 2247, 950, 1818, 707, 6718, 269, 1703, 616, 513, 1297, 540, 3906, 1818, 2139, 3730, 14233, 585, 707, 10051, 693, 10097, 3928, 269, 1411, 666, 4444, 891, 5329, 707, 4064, 1930, 865, 602, 596, 1205, 519, 1655, 1871, 585, 519, 2724, 602, 596, 616, 7836, 563, 2252, 596, 723, 1500, 909, 707, 2247, 547, 723, 513, 1007, 1413, 585, 707, 10051, 1287, 596, 1590, 723, 8068, 602, 1585, 6455, 543, 28774, 616, 6035, 676, 1065, 3176, 9755, 540, 10051, 14233, 269, 1411, 991, 547, 10544, 1346, 3681, 543, 4444, 14233, 602, 596, 991, 269, 634, 14233, 786, 711, 1152, 1118, 5986, 513, 12257, 855, 786, 849, 3986, 519, 26955, 14585, 540, 707, 10051, 563, 28775, 2685, 267, 676, 1631, 596, 723, 1336, 930, 2081, 547, 9337, 707, 10051, 6488, 2406, 269, 1411, 1810, 1406, 991, 547, 2936, 782, 540, 519, 5697, 3681, 1657, 267, 3274, 3442, 1346, 602, 9290, 707, 6492, 543, 6578, 269, 1403, 596, 798, 649, 616, 1978, 596, 786, 723, 513, 1007, 23302, 10051, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8967, 7590, 540, 5835, 5810, 1930, 538, 695, 8014, 4025, 630, 7945, 607, 28816, 8728, 543, 2282, 15949, 3455, 3298, 264, 2356, 1063, 2904, 543, 5437, 4352, 5810, 666, 581, 1336, 538, 1169, 3923, 540, 519, 1032, 267, 519, 5810, 3384, 883, 513, 3276, 6438, 2212, 540, 5613, 609, 26070, 6960, 29945, 269, 634, 3597, 568, 1031, 607, 513, 24996, 538, 27130, 543, 849, 585, 7657, 28666, 513, 548, 267, 15029, 538, 18691, 267, 621, 568, 20295, 609, 519, 1379, 547, 5397, 2476, 9409, 14326, 267, 2149, 1996, 14739, 573, 5243, 267, 543, 15658, 543, 9006, 10535, 15315, 256, 898, 729, 2404, 609, 8567, 1317, 922, 3762, 8057, 538, 555, 4181, 543, 922, 24968, 538, 535, 1161, 630, 516, 2381, 529, 1417, 540, 519, 10513, 27076, 543, 519, 12866, 654, 2432, 1916, 2690, 1655, 2164, 267, 30889, 5612, 5196, 513, 1434, 3037, 2861, 11003, 269, 15147, 519, 5452, 609, 5386, 27497, 610, 11003, 547, 5111, 741, 1378, 3178, 269, 1358, 666, 581, 521, 1144, 693, 1022, 942, 267, 543, 23286, 666, 3006, 581, 18334, 952, 6854, 693, 476, 1428, 547, 476, 736, 5232, 595, 269, 1284, 30889, 1034, 5452, 538, 606, 796, 515, 730, 8511, 543, 7227, 585, 2067, 23286, 267, 607, 1082, 5452, 723, 3710, 2987, 18959, 3599, 6127, 267, 1419, 7996, 585, 2067, 5614, 23286, 267, 8754, 4758, 873, 513, 2407, 4005, 540, 2208, 563, 13349, 2012, 281, 24841, 1285, 839, 267, 4173, 321, 26999, 564, 267, 23045, 342, 677, 2073, 853, 269, 31409, 781, 10786, 0, 10345, 5495, 299, 630, 3725, 26407, 264, 910, 2368, 3602, 538, 3345, 9705, 267, 811, 982, 476, 4335, 3162, 11114, 14586, 540, 2112, 723, 1044, 4371, 585, 811, 982, 3368, 513, 2540, 267, 782, 855, 1978, 547, 6108, 741, 3803, 2395, 538, 519, 5728, 633, 1533, 1510, 513, 4960, 540, 2479, 13059, 1753, 563, 763, 476, 28794, 616, 782, 945, 2611, 9800, 540, 1018, 1530, 9567, 9193, 941, 827, 476, 3199, 267, 1822, 3162, 11114, 7980, 945, 941, 2451, 593, 519, 4636, 2427, 540, 513, 12019, 2782, 7941, 950, 513, 24044, 13933, 8694, 519, 476, 4198, 271, 268, 7871, 11114, 2782, 563, 2414, 519, 3345, 267, 789, 941, 711, 14586, 267, 855, 2111, 1532, 617, 1221, 31356, 945, 1223, 948, 25580, 922, 2112, 268, 9545, 3042, 4346, 543, 1522, 581, 18617, 998, 556, 268, 25531, 602, 789, 941, 1259, 1189, 14552, 1732, 1055, 538, 519, 21340, 1533, 563, 13695, 784, 344, 836, 814, 17792, 585, 5756, 621, 814, 1044, 8066, 1022, 3162, 11114, 31266, 338, 267, 6031, 519, 9937, 540, 5215, 18423, 593, 741, 1378, 11063, 563, 2005, 814, 1631, 2968, 5176, 7543, 585, 519, 3345, 547, 1577, 1022, 31266, 338, 4734, 1317, 621, 1281, 711, 1616, 547, 1981, 1373, 6534, 538, 513, 7301, 3125, 621, 814, 9738, 585, 5756, 267, 19767, 1767, 563, 14071, 941, 5806, 3990, 1996, 267, 838, 1221, 593, 543, 14478, 269, 1284, 941, 711, 4847, 547, 1847, 2223, 1767, 962, 5622, 932, 592, 27940, 334, 267, 835, 540, 519, 827, 476, 3199, 5449, 3162, 11114, 31266, 338, 945, 7307, 547, 9101, 689, 519, 3345, 543, 1287, 729, 22653, 1243, 609, 14077, 538, 519, 3162, 563, 21026, 11114, 5518, 10557, 3733, 2426, 1532, 752, 814, 20399, 519, 3345, 547, 2132, 519, 31266, 338, 543, 6499, 547, 946, 519, 476, 2568, 628, 16683, 540, 519, 12176, 540, 519, 2112, 547, 10131, 513, 4745, 4674, 609, 12877, 784, 344, 836, 585, 519, 6051, 540, 519, 3788, 540, 7980, 2451, 593, 519, 824, 2427, 540, 519, 8473, 563, 10527, 31266, 338, 945, 2611, 616, 1869, 2713, 538, 4250, 269, 594, 729, 476, 3583, 1296, 2025, 950, 594, 23012, 538, 476, 1220, 271, 543, 594, 6785, 621, 729, 1732, 547, 5884, 3843, 982, 547, 5884, 538, 3345, 9705, 4805, 2223, 962, 5622, 1767, 563, 312, 5622, 267, 20754, 538, 6370, 267, 729, 3144, 26956, 676, 4457, 7980, 8165, 585, 519, 3345, 1175, 4374, 1354, 519, 6186, 626, 823, 11063, 729, 9896, 269, 1261, 729, 11843, 547, 513, 960, 3786, 5087, 540, 12877, 784, 344, 836, 543, 2760, 5143, 540, 519, 26956, 5385, 602, 729, 513, 851, 540, 519, 24044, 13933, 6876, 563, 14071, 941, 2322, 547, 960, 543, 2016, 16809, 2069, 3034, 763, 3345, 2366, 1394, 827, 476, 280, 267, 1822, 3162, 11114, 14586, 267, 2687, 547, 513, 3162, 11114, 2229, 1867, 269, 8409, 621, 6854, 941, 2366, 547, 960, 3877, 543, 7142, 693, 7784, 4812, 547, 1129, 3616, 25730, 6031, 789, 5497, 547, 3251, 538, 519, 3345, 563, 22139, 9705, 2322, 519, 3162, 6401, 753, 547, 960, 538, 4025, 971, 607, 15183, 543, 6854, 873, 896, 9856, 2394, 827, 476, 4198, 278, 563, 2005, 1287, 4847, 1034, 540, 873, 547, 4283, 2486, 267, 16550, 873, 883, 7365, 609, 2112, 610, 874, 753, 543, 11097, 3298, 269, 634, 1007, 3885, 941, 6854, 896, 2673, 4585, 547, 2061, 1219, 1254, 8942, 267, 5449, 31266, 338, 543, 519, 2229, 1867, 1767, 563, 2108, 7069, 4651, 729, 9310, 538, 513, 2527, 16806, 269, 634, 3345, 1175, 20083, 909, 4408, 267, 543, 5143, 1004, 789, 941, 9393, 543, 7385, 2223, 1767, 10557, 14717, 517, 268, 22792, 267, 4535, 540, 835, 540, 1346, 15185, 543, 1631, 11381, 30513, 540, 7731, 5742, 540, 11114, 31266, 338, 5489, 7134, 538, 3345, 9705, 563, 299, 2465, 779, 4651, 5747, 538, 476, 1220, 271, 543, 1352, 6707, 1500, 621, 547, 3162, 9705, 513, 1906, 1296, 2663, 269, 3345, 9705, 27052, 1200, 1920, 585, 1200, 1219, 1254, 19915, 676, 11488, 1200, 3993, 543, 7015, 547, 513, 7890, 3786, 1141, 789, 5747, 538, 26692, 267, 1352, 1767, 563, 763, 1895, 267, 799, 13333, 856, 540, 513, 1507, 5604, 538, 513, 1970, 268, 1370, 1858, 540, 1530, 9567, 267, 814, 1044, 11319, 585, 519, 2132, 540, 519, 31266, 338, 563, 2108, 22139, 9705, 568, 4730, 519, 31266, 3556, 543, 519, 3885, 540, 519, 31266, 338, 616, 538, 2587, 340, 880, 1169, 1554, 2223, 10557, 1767, 563, 10527, 31266, 338, 616, 936, 476, 3199, 543, 789, 666, 1406, 2132, 4805, 269, 1358, 616, 849, 4881, 856, 540, 4126, 602, 519, 6401, 553, 786, 581, 19618, 543, 602, 789, 666, 1294, 741, 3885, 1586, 3034, 10955, 1746, 676, 5981, 27672, 517, 0, 3422, 274, 24199, 654, 3008, 5990, 654, 7417, 298, 8946, 2969, 1862, 634, 4279, 21541, 7605, 25053, 267, 16716, 267, 543, 1216, 14784, 941, 1818, 24657, 898, 729, 21787, 602, 513, 10880, 676, 2679, 4600, 1223, 2800, 3356, 540, 519, 1007, 1261, 6758, 540, 519, 966, 4150, 903, 4155, 543, 519, 1646, 540, 519, 590, 1197, 333, 15167, 267, 3182, 3293, 1934, 896, 4070, 609, 10256, 6446, 5224, 585, 519, 3243, 7542, 787, 9944, 621, 563, 300, 2562, 7473, 2464, 1310, 16116, 909, 476, 2412, 15915, 585, 513, 1554, 781, 23593, 547, 519, 631, 3518, 956, 267, 519, 31784, 9252, 518, 9315, 858, 10348, 10443, 989, 1037, 563, 21026, 12986, 1554, 2389, 686, 13827, 941, 7142, 547, 7227, 607, 519, 9252, 518, 7283, 12758, 538, 519, 2997, 517, 717, 5282, 267, 2282, 519, 30290, 20022, 8115, 563, 9515, 729, 1813, 547, 1289, 693, 9315, 858, 267, 6755, 14390, 267, 31550, 543, 19129, 325, 571, 1260, 2041, 267, 543, 729, 2111, 547, 1305, 13743, 1586, 1310, 476, 3445, 3764, 563, 32481, 476, 1911, 267, 1822, 2022, 5443, 941, 538, 1899, 585, 2628, 14380, 602, 1131, 1942, 519, 5403, 8433, 606, 3063, 6550, 476, 273, 2742, 1032, 563, 5353, 1203, 8696, 4458, 29419, 1131, 1294, 741, 23269, 2333, 676, 476, 274, 338, 547, 6550, 476, 276, 476, 277, 338, 267, 1247, 1346, 936, 476, 1839, 1131, 581, 476, 275, 338, 476, 277, 323, 1732, 1055, 267, 2921, 1753, 6550, 476, 1556, 476, 1428, 338, 563, 13563, 2777, 342, 1161, 1185, 3943, 5518, 8176, 632, 717, 4954, 548, 547, 9684, 585, 930, 540, 519, 10464, 652, 17944, 2479, 547, 2408, 593, 2706, 21466, 21684, 563, 303, 4301, 625, 20483, 676, 632, 717, 4954, 548, 5921, 602, 16865, 2475, 17944, 2968, 811, 7199, 538, 3864, 15945, 267, 543, 519, 4611, 22965, 538, 3013, 1185, 7142, 5777, 1524, 547, 476, 2918, 21347, 630, 272, 338, 476, 279, 323, 264, 829, 11013, 563, 21026, 12986, 4871, 5234, 941, 1851, 1346, 6236, 2436, 547, 10880, 936, 513, 476, 274, 476, 272, 270, 273, 4939, 2628, 2333, 6035, 676, 519, 11565, 2465, 14205, 902, 7813, 543, 5722, 824, 10909, 563, 1103, 519, 12687, 540, 1018, 1131, 1831, 1634, 607, 519, 4279, 21541, 7605, 25053, 267, 513, 2319, 1993, 3713, 1161, 986, 1027, 476, 2412, 5195, 689, 3502, 1154, 5069, 1729, 519, 8498, 540, 28234, 2421, 547, 1294, 513, 561, 13446, 5156, 547, 581, 4448, 609, 621, 563, 763, 14460, 6174, 1185, 1044, 19481, 676, 513, 16027, 267, 543, 10492, 1767, 621, 8659, 2963, 2451, 3297, 676, 519, 14228, 602, 1185, 21687, 1018, 729, 5156, 547, 581, 6550, 476, 273, 269, 276, 332, 563, 289, 3471, 941, 1869, 12719, 741, 9271, 267, 865, 519, 4137, 729, 4397, 547, 4473, 563, 19602, 267, 5721, 9920, 10793, 24759, 267, 13676, 538, 519, 986, 573, 267, 1185, 26809, 5128, 689, 6413, 910, 646, 1131, 2760, 4628, 9156, 267, 543, 2760, 8120, 547, 960, 1354, 12955, 538, 476, 3192, 271, 563, 291, 904, 2663, 267, 7128, 1336, 519, 3775, 1499, 262, 12404, 719, 267, 606, 9678, 3484, 602, 789, 1185, 2451, 538, 513, 31657, 563, 10521, 4627, 6009, 941, 1813, 547, 581, 2813, 693, 513, 6550, 476, 273, 269, 276, 332, 1984, 6069, 676, 2871, 652, 3223, 523, 543, 4880, 1479, 9110, 1091, 630, 21026, 12986, 264, 13456, 693, 7066, 332, 528, 17304, 267, 9315, 858, 563, 763, 1984, 1131, 581, 519, 1034, 2413, 540, 922, 2186, 538, 519, 1158, 267, 543, 1131, 13497, 2333, 519, 4390, 540, 519, 6109, 267, 799, 2907, 6964, 476, 272, 267, 1822, 1004, 563, 16954, 22256, 543, 2797, 5859, 518, 21115, 5446, 7083, 590, 8553, 729, 11074, 676, 7128, 950, 646, 543, 1079, 1866, 6836, 547, 5397, 6517, 883, 519, 670, 11817, 540, 12057, 563, 2304, 8097, 29964, 8154, 18213, 3028, 2066, 519, 30290, 19305, 1185, 9863, 971, 513, 1967, 602, 513, 2834, 1286, 7542, 787, 1522, 581, 5665, 676, 476, 3422, 277, 268, 6858, 267, 922, 5411, 1767, 563, 7212, 513, 1007, 1826, 540, 29964, 8154, 1131, 723, 547, 581, 3710, 267, 519, 6109, 12479, 602, 621, 1223, 1020, 513, 12363, 693, 4639, 517, 1606, 10967, 5336, 732, 543, 1776, 693, 835, 540, 1614, 2798, 1063, 9315, 858, 543, 6755, 14390, 563, 288, 4387, 5734, 856, 693, 519, 1249, 602, 1256, 1498, 9315, 858, 729, 7092, 513, 8027, 6433, 267, 646, 1185, 1044, 3843, 585, 2185, 1296, 547, 6133, 513, 2185, 1532, 539, 3336, 2777, 538, 21582, 8822, 10003, 5101, 563, 4263, 513, 4058, 14374, 267, 646, 1767, 18864, 4941, 547, 2661, 538, 519, 1858, 1317, 621, 729, 513, 834, 14653, 577, 1494, 577, 257, 540, 15945, 267, 4213, 543, 5321, 563, 303, 517, 1399, 1440, 1342, 21717, 15182, 731, 7338, 9976, 1010, 476, 1704, 628, 14512, 538, 2511, 269, 2311, 476, 1015, 269, 1428, 600, 8867, 517, 731, 267, 945, 1185, 2760, 1185, 513, 6117, 3992, 593, 606, 1930, 4155, 267, 1185, 513, 1008, 29850, 6132, 775, 269, 2311, 476, 274, 269, 1789, 10975, 646, 2893, 1010, 6117, 1449, 543, 693, 476, 275, 10975, 646, 729, 513, 11727, 9920, 563, 3891, 1185, 1316, 2213, 6117, 3330, 519, 20583, 13452, 540, 519, 5179, 1560, 7816, 6300, 1141, 646, 5249, 267, 543, 5795, 1286, 1688, 6786, 607, 646, 887, 1372, 1753, 593, 1010, 17919, 563, 16031, 1733, 2089, 344, 543, 6004, 9931, 941, 693, 2112, 910, 1079, 4672, 29931, 2459, 523, 941, 538, 5480, 1310, 513, 21535, 936, 945, 1223, 960, 538, 661, 6277, 342, 309, 1446, 269, 1879, 835, 540, 1010, 15712, 3323, 9513, 4672, 29931, 600, 593, 1010, 15429, 267, 519, 654, 8712, 262, 9920, 14736, 539, 1010, 15180, 781, 8709, 267, 3576, 519, 10569, 689, 519, 27307, 543, 1577, 1524, 1010, 1119, 637, 563, 3891, 729, 10288, 547, 2628, 6550, 476, 866, 476, 276, 338, 476, 277, 323, 563, 763, 5783, 538, 12986, 4421, 9315, 858, 781, 16836, 20211, 1228, 547, 513, 2199, 3959, 2754, 585, 513, 4137, 834, 11357, 560, 656, 6053, 538, 4430, 540, 6550, 476, 7742, 267, 1822, 8487, 4910, 6342, 540, 23117, 728, 267, 9315, 858, 267, 941, 5143, 602, 476, 10037, 540, 741, 8075, 941, 4652, 527, 585, 1480, 3110, 2787, 269, 634, 3375, 3357, 607, 851, 540, 513, 25471, 6718, 1931, 689, 9315, 858, 14643, 585, 3670, 14143 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3086, 602, 707, 7293, 2609, 616, 538, 1747, 543, 1396, 909, 267, 621, 568, 942, 547, 2490, 707, 3007, 547, 519, 2571, 2675, 1901, 267, 543, 2523, 547, 4677, 6272, 269, 15380, 267, 707, 2571, 2675, 1901, 786, 1331, 693, 2547, 930, 15989, 269, 1809, 519, 6871, 540, 707, 2571, 2675, 1901, 547, 581, 3144, 909, 676, 15989, 786, 4096, 14356, 593, 4052, 9270, 267, 607, 5941, 593, 8525, 476, 272, 267, 607, 1134, 607, 593, 12716, 8456, 269, 1403, 513, 6366, 1163, 534, 572, 540, 6371, 1175, 3884, 1405, 20244, 4277, 2614, 585, 707, 16919, 267, 596, 3513, 4440, 1616, 15496, 4054, 630, 5408, 8666, 693, 1318, 264, 538, 707, 2571, 2675, 1901, 267, 543, 596, 3513, 4440, 17589, 513, 1390, 4308, 540, 9547, 689, 7446, 1063, 519, 1114, 4677, 6272, 547, 581, 2808, 563, 288, 12397, 1075, 18701, 540, 12567, 5071, 338, 585, 2659, 9941, 2675, 1901, 454, 268, 1703, 616, 267, 540, 1576, 267, 10448, 10651, 267, 799, 616, 900, 514, 1836, 4052, 269, 1809, 798, 711, 30391, 519, 12716, 1761, 540, 10448, 10651, 269, 4634, 569, 12630, 9343, 540, 21364, 5388, 267, 585, 3236, 267, 666, 581, 1360, 10694, 269, 595, 1075, 3784, 2371, 666, 581, 8036, 909, 513, 1726, 961, 529, 610, 936, 606, 818, 4011, 1175, 607, 1022, 824, 11903, 666, 563, 268, 6271, 4677, 1826, 602, 666, 6556, 12716, 607, 1134, 607, 11477, 1642, 2074, 568, 519, 10786, 4677, 269, 634, 24516, 4677, 267, 24886, 547, 519, 3750, 585, 1346, 945, 2972, 12166, 3270, 267, 568, 1419, 7768, 540, 11922, 563, 268, 595, 2714, 720, 10651, 3335, 7048, 8185, 593, 21064, 5810, 269, 5345, 25607, 540, 519, 2757, 2296, 24781, 540, 519, 27998, 267, 32119, 10651, 2099, 519, 13016, 1374, 2511, 563, 268, 634, 6101, 5251, 1374, 2511, 814, 12926, 16941, 8185, 593, 19211, 17401, 6896, 883, 15949, 2471, 267, 8108, 12166, 3270, 563, 268, 4826, 10651, 723, 2907, 1044, 5018, 269, 4033, 4677, 6163, 602, 7048, 8185, 593, 513, 2067, 3693, 824, 982, 2371, 616, 519, 4224, 4677, 543, 620, 18090, 4677, 267, 519, 8545, 1373, 513, 4224, 4677, 12630, 609, 620, 18090, 2371, 563, 268, 5375, 619, 723, 1831, 5051, 5461, 538, 5545, 10651, 269, 1401, 5328, 5545, 10651, 7048, 8185, 593, 1312, 7725, 543, 1216, 267, 607, 1134, 607, 11308, 2609, 563, 763, 14362, 2334, 7201, 12340, 12567, 5071, 338, 454, 32381, 540, 4677, 2511, 267, 1577, 3054, 581, 11461, 676, 519, 3741, 602, 896, 12340, 782, 4677, 6272, 269, 898, 568, 2653, 547, 26777, 835, 610, 811, 540, 891, 3741, 267, 1287, 1413, 693, 824, 1004, 781, 4677, 6272, 543, 4898, 267, 834, 3963, 798, 891, 4677, 6163, 1413, 865, 1454, 1732, 982, 9553, 267, 1256, 1498, 2147, 2371, 723, 1044, 1031, 8119, 15020, 2693, 267, 519, 2626, 547, 713, 2243, 6013, 538, 15984, 547, 519, 3741, 540, 1374, 269, 1280, 513, 2407, 2126, 540, 5251, 610, 4677, 1374, 3741, 267, 5225, 5077, 1250, 2376, 593, 5251, 1374, 3069, 585, 14987, 269, 634, 2609, 602, 896, 12340, 519, 3741, 540, 4677, 6272, 267, 799, 616, 3989, 538, 602, 2376, 267, 616, 607, 5205, 912, 11045, 29736, 609, 606, 1620, 540, 891, 2609, 267, 835, 568, 1287, 2111, 547, 8415, 519, 3741, 1031, 538, 4677, 6272, 630, 10193, 6045, 538, 1250, 2376, 593, 5251, 1374, 3069, 585, 14987, 1070, 799, 1331, 281, 0, 9213, 649, 2461, 4152, 513, 1007, 2856, 267, 543, 649, 8910, 2648, 707, 4555, 563, 10303, 634, 1715, 3840, 8648, 2934, 8748, 19180, 1169, 1554, 267, 543, 1317, 649, 3494, 602, 1373, 2148, 622, 1797, 1373, 2111, 547, 1224, 2592, 607, 1134, 607, 1257, 267, 649, 2461, 6236, 2870, 513, 5564, 12855, 540, 519, 10432, 4183, 563, 1607, 4183, 1131, 5031, 8648, 11147, 267, 7317, 12449, 610, 3381, 543, 581, 4553, 676, 513, 2110, 1592, 540, 1644, 2055, 543, 2238, 563, 9213, 779, 1383, 568, 689, 30960, 681, 25534, 779, 2376, 968, 6524, 631, 15967, 645, 1815, 877, 631, 15967, 2223, 827, 519, 13836, 6345, 631, 15967, 10548, 790, 345, 779, 1164, 1153, 1296, 269, 634, 1650, 2882, 513, 13472, 1397, 540, 476, 1321, 968, 6533, 543, 1631, 892, 6337, 540, 10548, 790, 345, 602, 649, 2219, 1053, 1131, 2972, 3168, 693, 543, 1210, 607, 6667, 585, 741, 1378, 3785, 563, 763, 1053, 538, 519, 1715, 14948, 23408, 5049, 609, 7247, 649, 12840, 585, 713, 4183, 1376, 1142, 1554, 2542, 543, 1603, 827, 634, 8648, 269, 1677, 4266, 267, 789, 723, 2854, 811, 982, 476, 6344, 3594, 1142, 1759, 593, 8648, 4930, 543, 723, 267, 741, 3610, 2161, 267, 3254, 968, 770, 15929, 12374, 1848, 0, 3721, 1156, 8316, 6362, 630, 3707, 273, 910, 12467, 3721, 1156, 8316, 6362, 8057, 909, 5087, 540, 5507, 269, 1261, 4597, 539, 538, 6128, 267, 2705, 693, 1010, 4651, 781, 7662, 646, 6594, 7998, 865, 646, 1223, 7390, 10228, 269, 2991, 2921, 13675, 11400, 585, 10228, 267, 646, 729, 13752, 513, 14172, 269, 2755, 538, 1153, 8316, 6362, 7463, 538, 6323, 269, 2991, 8391, 1010, 4110, 267, 8316, 6362, 4682, 547, 11062, 547, 1353, 25536, 543, 14421, 1108, 563, 4263, 519, 1439, 540, 1010, 1101, 19496, 693, 11062, 630, 13731, 5733, 476, 3422, 273, 264, 646, 729, 32509, 543, 8995, 609, 7200, 2983, 327, 3419, 338, 2068, 269, 634, 2068, 1131, 5555, 22009, 543, 26343, 1864, 547, 513, 30523, 563, 26796, 12032, 540, 1010, 4387, 622, 538, 476, 3422, 277, 267, 8316, 6362, 729, 13752, 513, 31776, 693, 22167, 6807, 543, 595, 2967, 639, 5441, 267, 11062, 269, 4595, 476, 3192, 280, 8316, 6362, 814, 4371, 519, 12359, 22057, 2024, 11208, 538, 6128, 267, 519, 1482, 11381, 602, 729, 4371, 1614, 4627, 1296, 4505, 676, 11184, 21469, 13053, 563, 1103, 476, 2735, 276, 8316, 6362, 2919, 16415, 543, 3592, 5747, 269, 589, 1272, 9494, 30439, 30315, 729, 5340, 267, 855, 8507, 538, 8316, 6362, 9561, 1010, 2702, 547, 3717, 269, 1261, 1631, 31825, 1210, 513, 2780, 1062, 602, 12958, 606, 5907, 5639, 563, 295, 1177, 6362, 781, 7418, 723, 1044, 538, 519, 1858, 540, 2489, 25536, 267, 8904, 267, 543, 7061, 3069, 267, 609, 8561, 538, 519, 1858, 540, 3109, 9475, 269, 3571, 1382, 6212, 593, 519, 3801, 676, 3744, 547, 26595, 7061, 3069, 543, 8904, 998, 2489, 25536, 883, 513, 20902, 3069, 602, 1131, 12732, 689, 519, 10545, 1016, 30061, 5536, 547, 519, 1163, 534, 572, 540, 519, 17807, 563, 306, 10235, 328, 623, 269, 31704, 1961, 341, 630, 5002, 277, 910, 476, 3422, 277, 994, 306, 10235, 328, 623, 269, 31704, 1961, 341, 729, 606, 7098, 517, 27658, 11653, 543, 1071, 1922, 10133, 540, 519, 18293, 4224, 4479, 3919, 269, 769, 519, 476, 4350, 271, 781, 267, 31704, 1961, 341, 2966, 6576, 781, 1101, 15177, 4412, 8215, 8484, 269, 898, 729, 31704, 1961, 341, 781, 681, 268, 278, 954, 11666, 1581, 3440, 2065, 23828, 630, 2975, 13696, 264, 602, 9250, 590, 1584, 23364, 476, 272, 593, 5239, 476, 275, 267, 476, 4198, 278, 269, 4438, 519, 2038, 476, 3422, 271, 781, 31704, 1961, 341, 10981, 321, 1221, 547, 6494, 513, 8168, 5430, 3000, 2246, 547, 519, 9855, 269, 10251, 267, 519, 6739, 2229, 666, 576, 1194, 31704, 1961, 341, 781, 1788, 267, 543, 1010, 715, 268, 272, 10131, 6174, 2760, 1500, 513, 3811, 8184, 563, 295, 1069, 2335, 744, 828, 628, 630, 6245, 275, 910, 476, 2735, 280, 994, 24078, 513, 4436, 15177, 22082, 945, 729, 1634, 607, 835, 540, 519, 15713, 18971, 540, 4224, 4479, 543, 2413, 16106, 923, 563, 1103, 476, 4572, 274, 267, 744, 828, 628, 3370, 519, 562, 27197, 1079, 2985, 834, 763, 9412, 564, 883, 4643, 8767, 6611, 257, 799, 729, 4553, 676, 513, 3476, 4528, 538, 476, 4572, 280, 269, 901, 6905, 4528, 729, 18368, 9833, 607, 513, 960, 540, 16854, 3621, 2956, 563, 1103, 744, 828, 628, 781, 3803, 3184, 540, 834, 763, 9412, 564, 883, 4643, 8767, 1975, 320, 525, 257, 646, 19424, 539, 602, 267, 834, 1492, 31244, 1862, 4754, 581, 3710, 865, 1379, 2685, 602, 789, 1223, 581, 5827, 540, 8876, 513, 812, 620, 21510, 1701, 4935, 267, 538, 476, 4572, 274, 744, 828, 628, 2968, 519, 1101, 10196, 547, 6961, 602, 31244, 1223, 2322, 513, 812, 883, 2230, 563, 290, 569, 1372, 570, 4861, 2795, 630, 5002, 277, 268, 1960, 278, 994, 290, 569, 1372, 570, 4861, 2795, 729, 606, 1977, 31485, 945, 4362, 519, 4541, 32624, 269, 769, 476, 4572, 280, 267, 570, 4861, 2795, 729, 21534, 607, 513, 21738, 31485, 547, 6443, 538, 519, 3406, 585, 513, 834, 23945, 564, 2473, 257, 3564, 3026, 31337, 269, 1261, 1500, 1158, 3377, 593, 4728, 476, 1724, 267, 476, 4350, 271, 950, 1010, 6602, 540, 519, 27630, 4541, 267, 32624, 729, 9672, 563, 7021, 519, 1985, 24369, 1296, 646, 4362, 3670, 5182, 13421, 267, 1079, 635, 1115, 267, 7366, 540, 30563, 267, 1896, 18797, 13421, 540, 15270, 267, 543, 835, 2706, 12641, 13831, 269, 1261, 729, 849, 15747, 538, 8159, 519, 642, 29448, 2470, 540, 18347, 781, 4279, 4414, 20128, 267, 519, 10047, 1974, 540, 22358, 593, 621, 781, 7852, 543, 538, 519, 1646, 540, 513, 1007, 26278, 4480, 547, 6895, 1507, 3047, 15408, 269, 0, 9802, 334, 18669, 2090, 875, 1454, 2259, 2306, 3501, 950, 7900, 3935, 8113, 641, 625, 454, 288, 3935, 22000, 568, 606, 17170, 5650, 585, 16326, 2042, 538, 519, 3935, 543, 6439, 636, 269, 24930, 666, 1419, 13209, 16063, 2152, 543, 1256, 6952, 519, 9963, 4191, 540, 897, 28030, 2860, 269, 17828, 532, 519, 1983, 2838, 585, 713, 10347, 5650, 3217, 2259, 269, 1809, 1175, 875, 1454, 2259, 2306, 3501, 888, 6546, 729, 519, 2243, 7917, 661, 269, 20767, 331, 871, 267, 631, 6185, 1421, 543, 1010, 25832, 18669, 1382, 2319, 1305, 856, 547, 2626, 538, 741, 5063, 6192, 1353, 540, 897, 28030, 5773, 269, 4256, 4681, 2303, 1454, 811, 2259, 568, 2877, 982, 12884, 10938, 1670, 3318, 7239, 4867, 4363, 563, 257, 14483, 7840, 616, 602, 476, 9610, 5773, 1058, 581, 2944, 1354, 12394, 547, 2708, 28671, 267, 855, 609, 1100, 1305, 7840, 593, 875, 547, 2708, 621, 2437, 3081, 3220, 269, 20767, 331, 871, 269, 834, 5978, 4681, 2303, 602, 621, 3217, 606, 3328, 540, 476, 22550, 5773, 585, 513, 12884, 10938, 1108, 8284, 547, 3914, 8766, 5042, 543, 5179, 28671, 4799, 763, 1353, 12290, 519, 2773, 540, 476, 6078, 25832, 18669, 30887, 10938, 1108, 26665, 3298, 945, 5340, 811, 982, 476, 277, 267, 7785, 3935, 8113, 641, 625, 538, 29157, 3122, 267, 3687, 333, 1421, 689, 5147, 476, 1220, 278, 998, 4873, 476, 1001, 271, 269, 634, 1382, 2319, 1031, 513, 24019, 4152, 1505, 1572, 519, 25832, 16690, 22000, 10341, 10495, 15484, 630, 300, 5425, 2969, 1916, 10454, 631, 5425, 2969, 568, 519, 1101, 971, 1907, 585, 3246, 2143, 4879, 540, 519, 4295, 5042, 543, 5179, 1983, 540, 27466, 525, 538, 713, 5650, 2437, 3220, 269, 20767, 331, 871, 3081, 269, 834, 2026, 513, 1267, 540, 938, 946, 540, 713, 1449, 267, 649, 723, 1044, 2111, 547, 5581, 1565, 14258, 543, 8766, 28671, 14541, 12201, 547, 2697, 950, 27466, 525, 616, 4712, 547, 7500, 10446, 4799, 763, 631, 5425, 2969, 2708, 525, 2127, 971, 607, 703, 889, 566, 3928, 543, 12557, 267, 875, 9108, 543, 1928, 8393, 9439, 1685, 519, 5650, 543, 875, 5693, 789, 5431, 1761, 3461, 2152, 563, 763, 1353, 781, 4681, 949, 723, 1880, 4644, 585, 32258, 824, 982, 12884, 10938, 1108, 269, 2755, 12884, 10938, 1108, 8593, 3298, 949, 1685, 1134, 811, 982, 476, 6110, 3935, 8113, 641, 625, 1282, 741, 2866, 267, 12665, 538, 824, 2127, 267, 971, 607, 6391, 610, 1920, 2259, 267, 949, 1685, 3648, 7864, 5773, 1282, 741, 2866, 563, 2026, 513, 1267, 540, 713, 1353, 267, 543, 1866, 267, 519, 1977, 5980, 585, 30887, 14528, 7736, 22000, 568, 556, 8586, 922, 3935, 22000, 2866, 4808, 547, 2992, 519, 991, 585, 811, 5773, 543, 11168, 519, 946, 540, 6662, 267, 22905, 4255, 538, 12570, 519, 28671, 540, 27466, 525, 269, 11086, 267, 891, 2242, 616, 1434, 585, 2550, 269, 834, 1103, 1931, 547, 2327, 3461, 3106, 543, 1683, 519, 5207, 2298, 540, 1416, 267, 782, 13500, 5275, 547, 581, 29341, 538, 3935, 22000, 910, 7488, 540, 741, 20614, 910, 1058, 581, 4371, 547, 513, 1455, 3044, 540, 28671, 14573, 2437, 3220, 269, 20767, 331, 871, 3081, 563, 7804, 269, 20767, 331, 871, 786, 581, 4687, 519, 4681, 540, 713, 1353, 693, 519, 476, 1001, 272, 6226, 24304, 8376, 10432, 10554 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 1455, 5624, 269, 594, 6557, 513, 10178, 540, 1007, 4683, 1143, 267, 693, 2547, 607, 621, 568, 27985, 9788, 856, 282, 2705, 267, 594, 729, 8049, 2436, 602, 3069, 1223, 581, 606, 2500, 3391, 547, 513, 1483, 1646, 538, 513, 1360, 1286, 20218, 1747, 899, 519, 23885, 1558, 549, 1858, 563, 29557, 2023, 22193, 729, 2966, 676, 667, 303, 313, 267, 18188, 676, 1656, 637, 13660, 1415, 543, 10906, 1773, 831, 19053, 344, 828, 330, 538, 476, 1960, 274, 543, 814, 2094, 1287, 7444, 2919, 269, 1703, 616, 1079, 1292, 3344, 540, 519, 8378, 547, 1832, 538, 2247, 269, 3689, 267, 519, 1374, 540, 519, 8378, 568, 538, 513, 1007, 4683, 626, 2511, 282, 713, 1797, 602, 8075, 723, 1507, 18126, 267, 5266, 1164, 5860, 630, 1721, 519, 1016, 31755, 264, 543, 513, 3982, 2146, 4099, 630, 5976, 8637, 1040, 1717, 267, 621, 568, 849, 513, 1360, 14931, 2146, 282, 519, 17743, 902, 616, 782, 2966, 538, 513, 1978, 2511, 543, 1169, 2460, 540, 1753, 543, 13452, 1374, 568, 14553, 14931, 676, 513, 26315, 630, 296, 4363, 3168, 693, 519, 2407, 26315, 2139, 693, 713, 3135, 1107, 922, 23506, 568, 513, 3787, 1376, 1782, 1040, 1280, 3236, 267, 1169, 1753, 1374, 1590, 581, 9516, 676, 513, 4604, 547, 10018, 602, 621, 786, 3514, 14429, 1947, 1369, 519, 2146, 269, 1358, 4782, 31403, 2511, 5321, 267, 865, 596, 786, 1294, 606, 11606, 540, 891, 538, 5664, 2023, 22193, 269, 1403, 596, 1810, 1406, 917, 4376, 827, 1007, 4683, 1143, 267, 594, 4363, 3168, 693, 519, 28957, 2376, 269, 1280, 1631, 267, 594, 6557, 1175, 2469, 547, 1376, 938, 3460, 998, 5664, 2023, 22193, 2507, 10756, 2026, 835, 19674, 689, 519, 2470, 8190, 11105, 547, 631, 1342, 331, 2023, 22193, 267, 596, 616, 5701, 547, 606, 4277, 8289, 269, 901, 851, 540, 519, 5664, 2023, 22193, 630, 1492, 5087, 3887, 770, 2427, 264, 568, 2407, 540, 1007, 543, 1804, 31403, 5321, 269, 2334, 729, 1018, 24330, 803, 519, 1034, 282, 891, 616, 1360, 7199, 5321, 267, 543, 602, 561, 1742, 513, 1978, 2011, 547, 519, 1995, 269, 898, 568, 586, 6269, 773, 267, 10288, 267, 543, 2973, 630, 1729, 519, 1448, 540, 3592, 1373, 25062, 5148, 875, 596, 4431, 547, 1346, 1614, 21371, 786, 2693, 3313, 875, 596, 786, 1745, 827, 5664, 2023, 22193, 563, 5472, 540, 519, 1876, 985, 616, 9985, 812, 545, 3293, 630, 3467, 865, 982, 594, 723, 1169, 2731, 2938, 264, 543, 1169, 2777, 5654, 547, 581, 538, 3501, 2783, 269, 634, 2370, 4054, 543, 26965, 3100, 547, 581, 5402, 5116, 538, 513, 1360, 20982, 1259, 282, 543, 538, 1249, 267, 741, 13307, 568, 3989, 538, 519, 2679, 4566, 269, 2353, 540, 713, 814, 1044, 9516, 676, 519, 2146, 1374, 4604, 282, 594, 4769, 1406, 899, 621, 282, 16973, 609, 513, 1390, 4308, 540, 6988, 543, 2470, 1118, 803, 1745, 899, 972, 568, 1945, 9800, 972, 269, 14066, 267, 3638, 1016, 31755, 1118, 803, 1745, 513, 3787, 11552, 6470, 282, 604, 594, 2965, 5030, 538, 971, 513, 1747, 267, 594, 1522, 1376, 6704, 513, 2603, 811, 269, 1717, 267, 649, 1058, 3314, 602, 713, 568, 2484, 18960, 982, 1082, 540, 519, 16973, 602, 1522, 3100, 811, 7874, 610, 2067, 269, 634, 6988, 540, 2025, 16973, 3217, 942, 267, 865, 5310, 5664, 2023, 22193, 786, 1831, 1447, 25062, 607, 621, 6502, 269, 1717, 267, 594, 4898, 952, 519, 3573, 8060, 540, 5656, 543, 30120, 1131, 1450, 585, 713, 1646, 269, 8307, 942, 786, 2995, 267, 594, 15475, 563, 6781, 913, 568, 519, 536, 537, 4582, 731, 282, 5310, 950, 519, 4054, 1332, 909, 621, 786, 1711, 513, 8799, 1747, 547, 581, 855, 1318, 1631, 621, 1175, 2306, 585, 513, 1804, 1163, 534, 572, 602, 568, 20704, 540, 1022, 1272, 269, 898, 1281, 1599, 607, 606, 16315, 540, 519, 1292, 4155, 282, 621, 1500, 621, 2653, 585, 721, 547, 1265, 519, 2619, 547, 519, 2146, 4099, 855, 4769, 1406, 798, 1454, 3116, 269, 2290, 3364, 602, 3323, 547, 21898, 803, 729, 519, 3668, 540, 1004, 856, 543, 827, 282, 649, 1185, 678, 5200, 998, 513, 1434, 6712, 540, 519, 1747, 1510, 7487, 513, 9997, 3544, 540, 741, 6517, 269, 901, 3003, 4070, 630, 327, 27941, 5860, 267, 609, 4395, 11188, 2583, 1360, 2673, 547, 519, 2427, 19769, 264, 568, 9277, 547, 1118, 811, 1004, 3802, 1472, 519, 2146, 855, 593, 971, 513, 4190, 10732, 12784, 267, 519, 10754, 941, 7477, 656, 269, 2334, 2306, 621, 3100, 899, 1945, 568, 1360, 4636, 609, 519, 8378, 563, 763, 6251, 835, 4991, 547, 519, 2146, 4099, 267, 519, 2362, 519, 5860, 3587, 269, 3371, 596, 1294, 5918, 14658, 525, 630, 296, 1589, 5148, 594, 2965, 1589, 891, 616, 7168, 10694, 543, 594, 899, 519, 2856, 540, 2810, 5860, 538, 713, 1259, 269, 1717, 267, 891, 616, 5393, 7199, 269, 594, 5063, 1336, 606, 740, 585, 835, 540, 891, 7873, 657, 593, 519, 5664, 2023, 22193, 8378, 7681, 1357, 3135, 543, 621, 729, 11540, 585, 1269, 4391, 275, 330, 269, 634, 1966, 568, 519, 1826, 540, 598, 4777, 713, 568, 282, 594, 3580, 2022, 519, 3877, 2630, 912, 6924, 278, 275, 7671, 32008, 19159, 589, 557, 454, 3412, 701, 764, 2406, 9738, 5664, 2023, 22193, 598, 4777, 6772, 8504, 11432, 269, 27202, 10877, 1115, 1318, 3544, 519, 4395, 7450, 256, 29740, 476, 278, 1296, 3516, 267, 621, 1869, 5654, 6216, 1007, 256, 717, 712, 5471, 10051, 530, 270, 7815, 787, 19970, 1115, 267, 16243, 14233, 267, 4396, 2627, 27669, 269, 7046, 6989, 1544, 530, 270, 273, 521, 3660, 3595, 2897, 267, 25308, 19683, 267, 16013, 1299, 9885, 267, 1299, 7923, 5496, 11188, 577, 269, 1975, 20160, 4487, 530, 270, 3369, 20071, 23051, 1299, 15792, 5008, 1115, 2429, 269, 570, 976, 540, 3606, 4859, 269, 476, 274, 6113, 23103, 2115, 24383, 585, 3656, 19838, 816, 269, 12384, 22089, 3144, 689, 5664, 2023, 8178, 528, 269, 13574, 518, 568, 13931, 1483, 30004, 269, 7046, 9530, 904, 476, 272, 268, 274, 563, 3383, 267, 519, 5321, 543, 7873, 657, 1373, 4421, 538, 5664, 2023, 22193, 616, 585, 519, 3638, 269, 901, 568, 9490, 547, 803, 1317, 713, 2244, 1058, 581, 10464, 282, 835, 1058, 581, 2111, 547, 1205, 513, 1360, 10097, 1753, 782, 519, 1259, 856, 538, 5664, 2023, 269, 1717, 519, 5777, 585, 7873, 657, 538, 713, 8378, 15180, 1346, 538, 25708, 23885, 267, 3274, 1317, 789, 616, 9112, 538, 513, 29413, 1259, 269, 2290, 1058, 3314, 602, 513, 3844, 4557, 656, 540, 1007, 4683, 1143, 568, 519, 991, 547, 1628, 2347, 2950, 282, 596, 991, 547, 723, 4025, 547, 2661, 585, 1312, 519, 1268, 945, 22595, 519, 2146, 4558, 543, 519, 1268, 945, 1568, 3297, 519, 4831, 563, 1607, 729, 519, 5207, 5860, 1858, 602, 594, 1223, 1265, 538, 519, 5664, 2023, 22193, 1646, 282, 789, 1413, 547, 581, 811, 7873, 657, 267, 543, 594, 993, 2386, 789, 616, 4190, 543, 7199, 269, 594, 1589, 713, 9000, 540, 16434, 8027, 568, 513, 5458, 1966, 585, 519, 2146, 282, 538, 513, 2631, 621, 1797, 602, 713, 30834, 1707, 568, 711, 513, 2146, 693, 782, 269, 594, 786, 1205, 547, 519, 968, 10919, 640, 4099, 892, 538, 513, 4090, 267, 855, 594, 666, 840, 655, 339, 713, 676, 11287, 602, 1034, 540, 1346, 2713, 1934, 1590, 5397, 547, 960, 1169, 1554, 269, 634, 1482, 4422, 585, 1346, 2324, 538, 519, 4213, 7404, 282, 519, 5777, 1832, 1346, 945, 960, 693, 519, 7404, 17365, 4558, 610, 6995, 6300, 689, 957, 592, 569, 2713, 2282, 741, 9036, 269, 634, 4087, 568, 849, 14605, 7471, 609, 519, 2527, 18302, 1062, 540, 519, 23885, 1558, 549, 1858, 282, 713, 1797, 602, 5664, 2023, 22193, 568, 1175, 607, 1286, 1298, 878, 607, 1022, 824, 28180, 1858, 269, 1656, 713, 16126, 593, 519, 1286, 568, 835, 540, 519, 1919, 1007, 4683, 1143, 568, 5921, 547, 16185, 563, 2080, 568, 519, 968, 10919, 640, 4099, 31865, 519, 2706, 21466, 568, 1055, 547, 519, 2451, 630, 719, 2515, 540, 519, 4605, 5148, 621, 568, 513, 31403, 2511, 14816, 32041, 267, 594, 15475, 269, 634, 2856, 540, 2348, 513, 10918, 4099, 2673, 547, 3283, 1753, 568, 602, 596, 1522, 3802, 972, 269, 594, 3893, 519, 12705, 602, 1034, 1004, 3576, 741, 1286, 267, 1256, 952, 789, 941, 1175, 2469, 547, 1205, 513, 7484, 540, 6995, 630, 663, 3314, 713, 729, 513, 2282, 3501, 1554, 547, 581, 3544, 1916, 3383, 267, 602, 568, 519, 1439, 540, 519, 2370, 4663, 269, 594, 1589, 631, 1342, 331, 2023, 22193, 14543, 7168, 3765, 518, 2406, 693, 1373, 513, 1434, 1383, 540, 513, 1134, 8647, 2146, 269, 594, 15475, 519, 6189, 568, 811, 4277, 982, 1034, 30834, 2888, 267, 855, 621, 19330, 519, 1482, 1272, 602, 3020, 4683, 1143, 2488, 269, 594, 1131, 581, 1360, 954, 23264, 547, 1294, 891, 3741, 2919, 538, 513, 851, 540, 4884, 6251, 547, 1141, 1004, 960, 630, 663, 609, 1732, 2527, 18302, 4296, 5148, 855, 519, 1699, 1383, 267, 4092, 865, 2484, 689, 519, 683, 806, 885, 540, 1272, 267, 568, 3592, 30758, 547, 3111, 269, 769, 519, 1439, 5664, 2023, 22193, 5433, 3592, 899, 513, 1286, 545, 1155, 540, 1007, 4683, 1143, 267, 2864, 982, 519, 1483, 4308, 269, 594, 3580, 6157, 2132, 547, 713, 3643, 538, 930, 2663, 9708, 282, 1318, 1631, 594, 723, 547, 979, 798, 1945, 3730, 585, 513, 1689, 563, 296, 4076, 1175, 8737, 2542, 513, 1433, 827, 8733, 2749, 2679, 676, 9400, 19193, 269, 769, 8278, 665, 885, 267, 19193, 23083, 602, 519, 1699, 2409, 540, 2749, 4058, 267, 799, 12167, 2582, 946, 1990, 11238, 543, 1390, 9883, 267, 616, 3520, 1026, 569, 16283, 269, 634, 4872, 1034, 540, 721, 2661, 538, 616, 1990, 19861, 971, 602, 1004, 2661, 2484, 689, 1141, 789, 960, 543, 6300, 282, 1142, 1480, 2534, 814, 922, 1378, 1858, 538, 519, 2413, 2749, 282, 713, 2306, 1286, 2951, 519, 1034, 4052, 1505, 269, 1703, 616, 540, 1576, 930, 17756, 630, 604, 835, 2729, 538, 24607, 267, 585, 1383, 267, 621, 1131, 581, 3833, 2653, 547, 2760, 4734, 519, 6532, 264, 855, 585, 519, 1034, 851, 267, 713, 568, 606, 4977, 2203, 540, 519, 28180, 2749, 563, 2005, 3085, 1406, 1491, 1932, 1454, 4674, 547, 8275, 519, 1966, 609, 519, 2582, 946, 1990, 11238, 269, 898, 568, 14831, 3585, 28537, 269, 4107, 1004, 2951, 609, 741, 1286, 1169, 1554, 547, 543, 689, 960, 282, 789, 616, 711, 1210, 519, 2230, 602, 519, 18914, 2488, 282, 538, 1931, 547, 3274, 1847, 2933, 267, 789, 723, 547, 3142, 2059, 1945, 602, 22179, 513, 9522, 610, 865, 269, 4208, 798, 649, 3858, 547, 2661, 609, 971, 606, 11460, 286, 4270, 267, 1016, 31755, 9153, 547, 581, 16990, 267, 585, 835, 282, 1310, 782, 267, 4872, 666, 581, 2864, 17173, 4025, 547, 2661, 269, 1656, 621, 4667, 899, 513, 1434, 2856, 547, 723, 513, 4729, 540, 2244, 547, 13951, 630, 2288, 621, 4667, 899, 713, 2244, 568, 865, 1419, 24906, 676, 9544, 5458, 8778, 338, 540, 6371, 2507, 12175, 3281, 895, 713, 609, 519, 11606, 540, 10464, 1648, 538, 519, 1106, 19386, 543, 596, 1205, 519, 1699, 7678, 585, 10340, 547, 30832, 331, 936, 782, 519, 5251, 269, 32010, 547, 2484, 1055, 4025, 568, 14949, 982, 9140, 2244, 538, 519, 26130, 543, 26776, 2749, 267, 865, 621, 568, 2182, 547, 1294, 606, 4661, 1996, 971, 513, 30832, 331, 563, 8802, 3563, 4667, 547, 1589, 602, 519, 1292, 1966, 609, 938, 1699, 11460, 568, 519, 1259, 621, 21219, 2729, 267, 1312, 3662, 543, 1480, 269, 898, 10969, 919, 8134, 607, 1134, 607, 5932, 513, 5906, 543, 10795, 1604, 538, 799, 5230, 3615, 630, 2246, 558, 24213, 264, 627, 11170, 998, 519, 2011, 693, 1390, 11250, 269, 4658, 849, 1831, 14156, 9674, 689, 1142, 824, 1317, 540, 741, 1390, 2168, 9883, 689, 835, 1776, 269, 594, 1589, 891, 616, 782, 1434, 4128, 585, 554, 908, 6517, 630, 2288, 594, 6557, 711, 2386, 519, 2063, 835, 568, 865, 3020, 267, 2016, 875, 1454, 1715, 3840, 619, 16339, 1047, 1142, 824, 264, 855, 519, 1034, 10296, 6161, 23608, 689, 519, 19386, 13251, 30832, 331, 568, 519, 1799, 29561, 540, 2048, 701, 752, 268, 11798, 685, 4586, 3725, 2286, 2048, 701, 752, 268, 11798, 685, 1797, 602, 649, 723, 6603, 519, 1448, 1141, 19386, 2504, 786, 2253, 547, 7771, 269, 901, 568, 3710, 883, 519, 1523, 540, 513, 13113, 4199, 899, 8093, 10173, 282, 649, 786, 14693, 2196, 856, 269, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17396, 11984, 723, 8959, 269, 901, 12031, 6663, 547, 1683, 519, 5943, 585, 513, 3070, 269, 634, 2596, 1175, 881, 2218, 1505, 18611, 2429, 7740, 593, 519, 2956, 547, 5126, 540, 14123, 543, 711, 14944, 1456, 1582, 9113, 1051, 269, 3245, 713, 4358, 1448, 267, 594, 1397, 602, 16462, 547, 1020, 267, 3635, 267, 543, 2087, 938, 5759, 568, 513, 7587, 5737, 4183, 540, 1582, 9113, 1051, 971, 602, 1004, 1590, 581, 2016, 519, 2230, 547, 4497, 538, 2238, 602, 789, 1265, 16180, 269, 594, 2417, 4434, 602, 649, 28761, 1265, 16180, 1346, 2238, 602, 1683, 513, 5078, 4161, 269, 3245, 713, 621, 5205, 602, 519, 1533, 814, 513, 8903, 1719, 547, 3895, 12947, 13895, 26656, 960, 2238, 865, 602, 972, 616, 2312, 10092, 17929, 4961, 666, 11654, 4690, 538, 2081, 17501, 547, 741, 5759, 269, 1452, 9270, 267, 4628, 9787, 539, 267, 3761, 519, 4493, 585, 513, 25992, 2272, 540, 4023, 4316, 267, 835, 602, 14405, 519, 2379, 4184, 539, 11984, 865, 8179, 1310, 269, 634, 4030, 6591, 689, 1210, 1582, 9113, 1051, 607, 519, 5817, 24117, 616, 1287, 3254, 547, 849, 1683, 6086, 633, 5583, 593, 1079, 3606, 2152, 602, 991, 5249, 856, 585, 513, 2347, 3069, 540, 3160, 4316, 269, 3689, 267, 594, 2232, 519, 2243, 540, 1018, 4170, 938, 2272, 791, 4680, 593, 2069, 269, 9737, 1346, 945, 3409, 5126, 3340, 8806, 606, 7850, 2069, 543, 1346, 945, 3409, 621, 3079, 3340, 606, 3160, 835, 267, 594, 8044, 621, 3927, 3340, 1312, 269, 769, 1840, 267, 1996, 519, 3409, 602, 519, 2407, 6388, 540, 3160, 4316, 7526, 609, 519, 2924, 540, 3237, 547, 6318, 741, 1453, 607, 789, 1294, 3514, 267, 594, 1397, 602, 713, 21677, 666, 7361, 581, 14284, 609, 938, 21950, 1620, 540, 4023, 4316, 538, 1688, 563, 9617, 823, 282, 4065, 282, 7731, 454, 300, 14525, 267, 9400, 5261, 454, 307, 11336, 267, 8210, 514, 282, 853, 25973, 517, 267, 22956, 10557, 454, 4942, 6185, 269, 540, 13898, 454, 2710, 2758, 540, 13898, 454, 323, 1170, 10488, 610, 5098, 0, 10932, 9060, 1007, 2081, 547, 4339, 519, 23776, 6433, 454, 10490, 8434, 5441, 540, 11671, 17595, 2684, 29108, 1108, 264, 769, 519, 2475, 4805, 267, 811, 982, 476, 273, 2929, 1004, 6560, 609, 23776, 946, 4713, 269, 744, 7032, 6950, 267, 1419, 11311, 607, 1928, 6527, 267, 723, 1631, 1831, 519, 2197, 781, 3056, 2014, 540, 3075, 30072, 269, 1809, 3744, 616, 7114, 2081, 547, 948, 8396, 519, 15435, 267, 799, 1331, 3478, 1004, 2126, 5488, 267, 3384, 10930, 17414, 6950, 267, 543, 4543, 2550, 3442, 3617, 2126, 269, 589, 1297, 540, 2487, 23484, 616, 1373, 4843, 693, 519, 14232, 10554, 540, 519, 1977, 5441, 540, 11671, 17595, 2684, 29108, 1108, 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 ]
[ 14067, 1846, 29254, 2187, 825, 5727, 11514, 680, 904, 7194, 593, 21891, 327, 732, 3755, 27969, 692, 825, 1820, 28361, 333, 15612, 908, 14871, 853, 1846, 1862, 315, 333, 5073, 825, 1376, 22710, 815, 942, 28333, 10797, 825, 1948, 1293, 1297, 540, 15143, 829, 3593, 1826, 454, 825, 3593, 25292, 815, 17093, 9131, 27165, 7392, 262, 4940, 7407, 18045, 338, 10797, 825, 1948, 5173, 1611, 7552, 8653, 829, 2085, 1895, 538, 554, 327, 281, 7825, 281, 1087, 3898, 630, 339, 574, 539, 12265, 994, 825, 1285, 326, 4671, 8692, 318, 12528, 25292, 815, 630, 4206, 9131, 307, 8692, 30991, 262, 4940, 16766, 2421, 29254, 9131, 27165, 7392, 262, 7481, 14030, 17264, 1547, 11743, 4590, 14030, 17264, 1547, 1952, 569, 9638, 323, 30419, 4671, 574, 539, 12265, 267, 1770, 8782, 306, 5073, 14030, 17264, 1547, 19049, 269, 1037, 6600, 516, 336, 8782, 306, 10807, 2020, 825, 1948, 1628, 513, 4266, 18134, 540, 3593, 1826, 28135, 454, 825, 3593, 25292, 14067, 1846, 815, 27835, 15575, 9166, 3593, 25292, 2676, 4449, 11434, 1412, 13510, 326, 25676, 30991, 9166, 1285, 326, 4671, 8692, 318, 12528, 25292, 8679, 825, 3593, 25292, 14067, 1846, 815, 19073, 6185, 1092, 20988, 263, 12528, 25292, 14067, 1846, 2020, 825, 1948, 4159, 12523, 540, 3593, 2010, 543, 3328, 7552, 8653, 829, 3593, 1826, 454, 825, 1820, 3488, 10831, 540, 15143, 829, 3593, 1826, 543, 3328, 7552, 8653, 829, 1826, 5073, 825, 1820, 263, 12528, 25292, 14067, 1846, 2020, 825, 1948, 4159, 12523, 540, 4008, 1152, 952, 519, 6241, 6818, 454, 825, 952, 1412, 29638, 262, 711, 538, 17093, 31815, 8435, 912, 1038, 1820, 28361, 333, 2467, 568, 1100, 1344, 593, 4008, 26142, 333, 5073, 825, 3116, 912, 1038, 1820, 28361, 333, 10831, 540, 15143, 829, 4008, 5073, 1038, 1820, 29254, 9131, 29638, 262, 4940, 7407, 18045, 338, 19572, 1412, 315, 333, 17210, 825, 1948, 4159, 9998, 267, 1034, 2487, 267, 543, 1034, 1455, 1032, 540, 4332, 454, 825, 1948, 1152, 952, 519, 6241, 6818, 454, 825, 952, 1412, 289, 9500, 5729, 262, 711, 538, 17093, 31815, 8435, 912, 1038, 1820, 28361, 333, 2467, 568, 1100, 1344, 593, 4332, 1032, 26142, 333, 5073, 825, 3116, 912, 1038, 4332, 14729, 792, 815, 27835, 792, 31586, 9166, 703, 4433, 9285, 29254, 9131, 289, 9500, 5729, 262, 8079, 314, 271, 316, 13211, 4449, 8587, 1412, 2865, 2487, 9166, 703, 4433, 9285, 29254, 9131, 289, 9500, 5729, 262, 8079, 15631, 272, 316, 13211, 4449, 8587, 1412, 2865, 1455, 9166, 703, 29254, 9131, 289, 9500, 5729, 262, 4940, 7407, 18045, 338, 14061, 8161, 314, 271, 8079, 10926, 1038, 585, 1775, 267, 676, 538, 26246, 6357, 9500, 14729, 792, 269, 11161, 3890, 2187, 2018, 1820, 3488, 763, 15079, 4332, 1032, 281, 15079, 7055, 4449, 476, 1547, 8971, 17338, 6357, 9500, 14729, 792, 269, 12399, 3890, 25011, 328, 3910, 676, 11723, 1038, 1948, 5173, 2085, 14322, 519, 3755, 262, 4332, 17058, 723, 5293, 454, 1038, 17093, 9131, 21848, 11172, 815, 24303, 269, 852, 14061, 20204, 910, 17093, 9131, 289, 9500, 5729, 262, 6540, 1038, 1948, 1711, 25510, 543, 10297, 585, 476, 279, 2085, 2516, 454, 1038, 25510, 815, 1592, 18828, 30784, 1052, 263, 736, 267, 476, 10037, 267, 476, 1015, 4917, 1038, 25510, 27044, 263, 271, 267, 476, 271, 994, 1038, 25510, 6910, 263, 6344, 994, 1038, 10297, 815, 18358, 283, 736, 3299, 1412, 736, 268, 3066, 3299, 1412, 1789, 268, 4375, 3299, 1412, 2412, 268, 5392, 3299, 1412, 2004, 268, 6795, 3299, 1412, 2568, 268, 7597, 22779, 4449, 476, 1412, 3583, 268, 8064, 3299, 1412, 3199, 283, 8782, 6540, 1038, 1948, 1711, 2085, 1895, 6241, 454, 1038, 17093, 9131, 21848, 6828, 11172, 815, 19073, 6983, 583, 29254, 9131, 21848, 11172, 2676, 14030, 25510, 284, 321, 1231, 2676, 14030, 10297, 284, 18350, 1564, 2676, 14030, 1318, 25716, 2020, 1038, 1820, 28361, 333, 21848, 1895, 267, 2442, 1554, 543, 5662, 540, 7552, 267, 543, 1611, 7552, 8653, 14826, 17210, 1038, 2085, 14682, 4981, 18045, 815, 17093, 9131, 21848, 6828, 262, 4940, 7407, 18045, 338, 4433, 677, 25716, 994, 1038, 2085, 14682, 4981, 7272, 641, 318, 1485, 815, 630, 4206, 9131, 21196, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 14030, 8587, 1547, 12000, 263, 1326, 8548, 1712, 4917, 1038, 2085, 14682, 4981, 7272, 641, 20189, 712, 815, 630, 4206, 9131, 295, 712, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 4449, 13376, 1547, 12000, 263, 1326, 8548, 1712, 11723, 1038, 1948, 5173, 1611, 7552, 8653, 829, 2085, 1895, 538, 554, 327, 281, 7825, 281, 1087, 3898, 630, 339, 574, 539, 12265, 994, 1038, 2085, 14682, 4981, 318, 822, 326, 4671, 8692, 815, 630, 4206, 9131, 307, 8692, 30991, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 14030, 4449, 1547, 11743, 4590, 14030, 4449, 1547, 1952, 569, 9638, 323, 30419, 4671, 574, 539, 12265, 267, 1770, 8782, 306, 5073, 14030, 4449, 1547, 19049, 269, 1037, 6600, 516, 336, 8782, 306, 10807, 2020, 1038, 1948, 1628, 543, 4159, 513, 4266, 18134, 540, 2085, 1895, 28135, 454, 1038, 2085, 14682, 4981, 14067, 1846, 815, 27835, 15575, 9166, 2085, 14682, 4981, 18045, 2676, 4449, 19930, 1412, 21196, 9166, 2085, 14682, 4981, 7272, 641, 318, 1485, 2676, 4449, 19930, 1412, 295, 712, 9166, 2085, 14682, 4981, 7272, 641, 20189, 712, 2676, 4449, 19930, 1412, 13510, 326, 25676, 30991, 9166, 2085, 14682, 4981, 318, 822, 326, 4671, 8692, 8679, 1038, 2085, 14682, 4981, 14067, 1846, 815, 19073, 6185, 1092, 20988, 263, 720, 14682, 4981, 14067, 1846, 994, 1038, 1820, 263, 720, 14682, 4981, 14067, 1846, 2020, 825, 1820, 19629, 333, 1607, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 22710, 4917, 825, 1820, 3488, 268, 262, 265, 2412, 9239, 3698, 4159, 318, 3863, 12774, 29254, 2187, 825, 5727, 11514, 680, 904, 476, 276, 3515, 540, 6151, 1239, 952, 16761, 676, 519, 3593, 27969, 692, 825, 1948, 3355, 1125, 1775, 543, 795, 865, 602, 1101, 476, 276, 3515, 540, 6151, 1239, 666, 581, 10268, 454, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 476, 276, 692, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 6151, 12774, 318, 13433, 815, 3403, 19629, 333, 25898, 596, 899, 547, 1294, 476, 276, 1367, 15143, 286, 315, 333, 315, 454, 263, 8923, 4283, 1412, 344, 262, 610, 1412, 333, 262, 2567, 19515, 2018, 1948, 952, 519, 3593, 4267, 4376, 824, 982, 1412, 344, 262, 3136, 530, 270, 334, 1239, 454, 2018, 952, 6151, 12774, 318, 13433, 11203, 1412, 344, 12466, 3546, 2736, 692, 1038, 4849, 6206, 4580, 11328, 4533, 912, 2018, 1820, 28361, 333, 14826, 10048, 783, 954, 8306, 7018, 1862, 5073, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 29254, 269, 559, 665, 5157, 281, 329, 267, 9948, 2020, 2018, 1948, 1039, 476, 276, 547, 1775, 543, 795, 865, 602, 519, 1985, 476, 276, 3515, 666, 581, 10268, 454, 2018, 1775, 6834, 476, 276, 454, 2018, 795, 6834, 476, 276, 7531, 3698, 1292, 10031, 825, 1820, 3488, 15916, 256, 2913, 32075, 338, 2263, 930, 2475, 21891, 327, 732, 1239, 256, 17210, 825, 1247, 6936, 912, 1038, 2749, 267, 3923, 267, 1554, 815, 1205, 6958, 559, 1562, 10797, 1038, 1948, 14827, 1982, 538, 2013, 540, 8261, 954, 8306, 454, 1038, 952, 2749, 2652, 476, 15886, 610, 3923, 2652, 476, 15886, 610, 1554, 2652, 476, 15886, 912, 2018, 1820, 28361, 333, 2750, 1243, 1510, 8939, 513, 2749, 610, 513, 4266, 6882, 14826, 5073, 1038, 3116, 912, 2018, 17093, 815, 4452, 12774, 6262, 640, 267, 3923, 267, 1554, 2020, 2018, 942, 14067, 1846, 29254, 994, 2018, 7552, 5091, 4851, 14067, 1846, 29254, 994, 2018, 6728, 14067, 1846, 29254, 994, 2018, 3593, 14067, 1846, 29254, 2020, 2018, 1948, 4159, 519, 12086, 1031, 676, 519, 3593, 454, 2018, 1820, 19629, 333, 23742, 1562, 1031, 281, 13600, 815, 2715, 9574, 4303, 815, 15079, 4840, 4449, 476, 1547, 8971, 263, 24629, 267, 1554, 11723, 2018, 4159, 318, 3863, 12774, 29254, 2020, 1038, 1964, 691, 815, 3403, 19629, 333, 25898, 596, 899, 547, 1964, 691, 286, 315, 333, 315, 454, 263, 8923, 4283, 1412, 344, 262, 610, 1412, 333, 262, 2567, 19515, 1038, 952, 1964, 691, 31573, 3890, 11203, 1412, 344, 12466, 2018, 2736, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5814, 1770, 11687, 454, 5228, 14332, 1782, 1104, 14332, 1782, 692, 5035, 4530, 289, 578, 1782, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20777, 4311, 2187, 1038, 536, 815, 14332, 1782, 4590, 1038, 536, 269, 2651, 815, 20886, 276, 267, 273, 25662, 279, 267, 272, 25662, 277, 267, 275, 25662, 1015, 25662, 271, 267, 276, 25662, 273, 267, 277, 25662, 279, 267, 272, 25662, 276, 267, 274, 25662, 277, 267, 272, 25662, 1015, 267, 273, 267, 277, 27663, 1038, 536, 26098, 8999, 4590, 825, 1219, 3403, 318, 20777, 4311, 2187, 1038, 536, 815, 14332, 1782, 4590, 1038, 1820, 3488, 6358, 815, 476, 276, 267, 273, 476, 279, 267, 272, 476, 277, 267, 275, 476, 1015, 476, 271, 267, 276, 476, 273, 267, 277, 476, 279, 267, 272, 476, 276, 267, 274, 476, 277, 267, 272, 476, 1015, 267, 273, 267, 277, 5073, 1038, 1582, 20596, 12148, 6357, 269, 6358, 318, 2651, 8443, 262, 276, 267, 273, 3299, 1412, 279, 267, 272, 3299, 1412, 277, 267, 275, 3299, 1412, 1015, 3299, 1412, 271, 267, 276, 3299, 1412, 273, 267, 277, 3299, 1412, 279, 267, 272, 3299, 1412, 276, 267, 274, 3299, 1412, 277, 267, 272, 3299, 1412, 1015, 267, 273, 267, 277, 11172, 4917, 1038, 1820, 3488, 6358, 815, 476, 276, 267, 273, 476, 279, 267, 272, 476, 277, 267, 275, 476, 1015, 476, 271, 267, 276, 476, 273, 267, 277, 476, 279, 267, 272, 476, 276, 267, 274, 476, 277, 267, 272, 476, 1015, 267, 273, 267, 277, 267, 275, 5073, 1038, 1582, 20596, 16178, 6357, 269, 6358, 318, 2651, 8443, 262, 276, 267, 273, 3299, 1412, 279, 267, 272, 3299, 1412, 277, 267, 275, 3299, 1412, 1015, 3299, 1412, 271, 267, 276, 3299, 1412, 273, 267, 277, 3299, 1412, 279, 267, 272, 3299, 1412, 276, 267, 274, 3299, 1412, 277, 267, 272, 3299, 1412, 1015, 267, 273, 267, 277, 267, 275, 11172, 4917, 1038, 1820, 3488, 6358, 815, 834, 276, 267, 273, 257, 5073, 1038, 1582, 20596, 16178, 6357, 269, 6358, 318, 2651, 3488, 276, 267, 273, 29125, 1038, 1820, 3488, 307, 3949, 1967, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 512, 815, 4530, 289, 578, 1782, 4590, 825, 512, 6745, 652, 318, 20777, 4590, 825, 512, 269, 6358, 318, 20777, 10797, 0, 22852, 815, 29129, 604, 263, 22852, 17107, 476, 585, 3593, 538, 3755, 912, 825, 952, 263, 12528, 2652, 834, 611, 2381, 257, 2567, 1820, 2891, 15916, 14721, 267, 1131, 596, 899, 547, 1294, 513, 4567, 1867, 286, 5602, 825, 3116, 912, 8587, 1820, 6600, 257, 294, 22901, 902, 267, 2715, 12528, 348, 10590, 2020, 12828, 281, 1820, 2891, 2467, 616, 1100, 3755, 1701, 264, 0, 5228, 2979, 1104, 2608, 1477, 5228, 3638, 1104, 1820, 1477, 5228, 3638, 26769, 18030, 1104, 1230, 18030, 1477, 5228, 3638, 269, 3966, 601, 1104, 19937, 1477, 5228, 3638, 269, 3667, 1104, 7956, 5897, 5814, 2338, 5897, 935, 18030, 815, 1230, 18030, 31476, 306, 18510, 815, 1193, 6230, 752, 564, 4920, 2891, 23713, 24833, 277, 4281, 280, 2580, 834, 8975, 478, 8975, 479, 8975, 480, 8975, 481, 8975, 482, 8975, 483, 8975, 484, 8975, 485, 8975, 486, 8975, 487, 14744, 306, 16810, 815, 1193, 6230, 752, 564, 4920, 2891, 23713, 24833, 277, 4281, 280, 2580, 834, 22397, 364, 382, 373, 11054, 23326, 22397, 368, 22397, 369, 22397, 370, 22397, 371, 22397, 372, 22397, 373, 14744, 258, 834, 295, 273, 12569, 275, 2668, 10520, 17218, 22829, 18510, 10142, 258, 1599, 8847, 1477, 337, 815, 32494, 1477, 323, 815, 5232, 5897, 326, 815, 910, 280, 269, 10037, 5897, 6523, 323, 815, 25754, 1535, 281, 5430, 16868, 3287, 17903, 338, 785, 815, 25754, 1535, 281, 5609, 16868, 3287, 17903, 339, 663, 815, 25754, 1535, 281, 16009, 16868, 3287, 264, 10142, 520, 663, 815, 25754, 1535, 281, 546, 263, 27979, 3287, 17903, 659, 657, 323, 815, 25754, 1535, 281, 546, 263, 659, 657, 3287, 17903, 553, 785, 815, 25754, 1535, 281, 546, 263, 553, 514, 3287, 264, 10142, 27583, 815, 5727, 315, 1477, 30125, 7780, 1006, 642, 272, 269, 273, 1477, 300, 1228, 676, 2802, 534, 1299, 3193, 1299, 533, 4954, 2433, 10142, 3918, 300, 4932, 21612, 547, 1224, 519, 1966, 654, 16704, 676, 654 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 9164, 16111, 3277, 547, 1864, 607, 2048, 615, 685, 543, 2048, 9917, 685, 5103, 1864, 6998, 873, 547, 3247, 269, 634, 946, 540, 20025, 21770, 568, 25641, 543, 666, 2014, 1208, 559, 2747, 543, 1055, 775, 269, 14731, 949, 581, 2111, 547, 1118, 513, 24255, 540, 7130, 543, 18086, 2932, 593, 519, 4493, 540, 4008, 3961, 896, 519, 2920, 563, 22949, 31621, 31005, 807, 454, 263, 1492, 5604, 540, 519, 14640, 5937, 4593, 19303, 30934, 994, 17490, 281, 476, 9873, 271, 476, 25134, 476, 6187, 273, 630, 514, 31005, 807, 264, 610, 630, 6734, 264, 476, 277, 1626, 276, 476, 4037, 272, 276, 454, 16158, 590, 5960, 281, 476, 31239, 280, 476, 25002, 476, 5400, 274, 454, 9558, 331, 908, 543, 3955, 31147, 6796, 281, 476, 14530, 476, 14596, 454, 13233, 4039, 599, 6796, 454, 22721, 312, 20305, 281, 25439, 476, 15836, 476, 277, 6507, 1287, 2307, 585, 476, 9873, 271, 476, 25134, 476, 6187, 273, 454, 11854, 752, 543, 19415, 281, 476, 9873, 271, 476, 27898, 476, 278, 2767, 1287, 2307, 585, 476, 9873, 271, 476, 25134, 476, 6187, 273, 454, 19423, 823, 281, 5426, 476, 272, 267, 476, 7918, 15117, 853, 267, 20122, 691, 570, 3008, 476, 10384, 271, 454, 8070, 281, 13382, 302, 13340, 476, 3192, 267, 20122, 691, 570, 3008, 476, 10384, 272, 0, 31917, 1715, 5729, 689, 519, 918, 1342, 990, 622, 2319, 256, 1284, 4126, 596, 2461, 737, 10107, 1055, 476, 1001, 278, 609, 513, 17105, 2631, 540, 6612, 267, 3483, 267, 543, 540, 1576, 267, 5876, 256, 1284, 4076, 2097, 909, 609, 513, 19625, 540, 21368, 585, 596, 454, 272, 269, 7844, 707, 1378, 5876, 1101, 269, 2142, 1930, 609, 707, 1053, 827, 707, 18653, 543, 15421, 11652, 519, 5499, 2081, 538, 799, 596, 3343, 547, 2661, 873, 856, 1169, 1554, 563, 273, 269, 5269, 4055, 585, 6667, 269, 634, 1655, 1259, 547, 2333, 3860, 3977, 568, 547, 2333, 3860, 3403, 269, 6744, 856, 519, 918, 1342, 990, 622, 22695, 924, 610, 23512, 790, 1232, 802, 585, 7524, 3308, 14242, 563, 274, 269, 9105, 834, 6343, 952, 8119, 811, 1419, 269, 898, 779, 513, 2241, 2243, 547, 4991, 3214, 685, 8186, 3001, 269, 3973, 5000, 873, 547, 4228, 609, 834, 13433, 267, 543, 29389, 6114, 269, 1411, 3580, 581, 27086, 693, 782, 519, 2093, 10760, 1472, 519, 4055, 563, 275, 269, 623, 2720, 826, 513, 6612, 1788, 269, 5590, 11735, 1256, 607, 2370, 607, 4557, 2600, 540, 707, 1554, 865, 602, 1053, 666, 960, 593, 1945, 789, 2648, 269, 2311, 519, 1439, 540, 519, 3018, 267, 610, 519, 19496, 267, 723, 1053, 1459, 741, 2093, 609, 24235, 563, 276, 269, 18270, 622, 14286, 269, 27065, 3884, 1406, 835, 9589, 4090, 282, 621, 779, 4693, 543, 5470, 543, 21767, 269, 11559, 1053, 547, 2708, 1018, 4682, 4636, 543, 1946, 269, 3973, 17869, 873, 593, 607, 789, 1205, 909, 267, 7452, 2933, 1055, 267, 543, 3136, 593, 1189, 563, 2171, 6999, 596, 543, 707, 1053, 782, 519, 1655, 607, 596, 7832, 593, 713, 1032, 4904, 609, 1761, 563, 1692, 798, 596, 1544, 547, 11349, 5876, 538, 707, 4928, 713, 1032, 286, 2913, 721, 917, 538, 519, 8292, 2630, 269, 0, 1103, 713, 2502, 7634, 540, 519, 8733, 24598, 25751, 540, 519, 2413, 2085, 267, 28553, 13187, 602, 19090, 1705, 711, 3605, 513, 1007, 1158, 855, 267, 3079, 267, 2813, 835, 267, 5337, 1746, 513, 1974, 540, 6211, 5385, 543, 968, 935, 341, 14601, 10489, 738, 4851, 892, 602, 5170, 547, 713, 1554, 269, 29665, 538, 519, 9998, 21113, 540, 14051, 1765, 339, 984, 8829, 267, 8988, 267, 12277, 1765, 3559, 6244, 7239, 547, 9101, 267, 693, 2547, 17303, 267, 631, 953, 639, 779, 3069, 540, 3908, 2200, 267, 7700, 547, 606, 13778, 2551, 22820, 267, 2943, 621, 849, 19658, 519, 3262, 540, 2068, 543, 25010, 748, 6694, 2853, 267, 3056, 547, 8474, 543, 2112, 269, 28553, 632, 1111, 569, 32514, 919, 891, 32475, 593, 513, 1480, 4336, 281, 519, 9420, 5208, 543, 9810, 693, 11918, 652, 1144, 267, 519, 16970, 14226, 540, 4074, 538, 519, 8988, 15183, 540, 30643, 267, 519, 25713, 5433, 676, 17417, 2390, 1101, 7487, 513, 12285, 3440, 25483, 269, 2334, 5605, 2526, 775, 11498, 547, 2221, 779, 19618, 1158, 267, 20651, 676, 968, 321, 650, 687, 540, 1004, 15292, 532, 998, 5051, 9838, 8916, 1848, 2340, 503, 355, 454, 298, 17673, 5510, 519, 8092, 454, 3963, 616, 865, 1082, 3109, 3885, 9561, 741, 2244, 888, 288, 13787, 626, 538, 519, 6519, 5600, 454, 12663, 11686, 779, 17037, 25176, 610, 2611, 10121, 547, 513, 2462, 582, 888, 23804, 12846, 1145, 538, 16506, 779, 21940, 776, 27347, 538, 519, 6520, 540, 11686, 454, 2252, 5599, 568, 4847, 547, 2253, 1985, 547, 519, 21940, 776, 27347, 267, 519, 3441, 547, 922, 29814, 8933, 543, 12647, 1131, 581, 26464, 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 ]
[ 519, 1624, 760, 1388, 27914, 540, 519, 2634, 5556, 523, 1388, 17244, 540, 519, 1624, 760, 1388, 27914, 3131, 514, 7614, 29769, 807, 661, 1338, 13921, 4345, 631, 2287, 4345, 589, 4429, 1862, 22787, 1579, 1111, 532, 540, 7633, 4478, 519, 9804, 10739, 630, 5674, 324, 23094, 1070, 971, 607, 519, 28882, 543, 22725, 337, 2711, 5642, 282, 543, 3267, 4033, 17244, 267, 7133, 519, 21435, 267, 2212, 267, 3068, 267, 10265, 543, 4522, 949, 581, 1336, 609, 808, 7034, 269, 1452, 1331, 281, 28341, 25866, 531, 4571, 11060, 3267, 28454, 609, 519, 6418, 1274, 538, 808, 7034, 2285, 7778, 547, 519, 4527, 540, 24845, 9300, 710, 1116, 6217, 2530, 538, 1034, 2550, 3267, 7736, 18355, 17244, 538, 824, 2127, 723, 849, 1044, 1459, 609, 519, 4524, 269, 1452, 1331, 30847, 267, 2208, 9449, 4429, 1862, 630, 4753, 288, 264, 568, 513, 22787, 267, 15110, 267, 24845, 3750, 2068, 540, 5243, 267, 799, 5540, 519, 22100, 267, 32711, 1355, 267, 543, 3267, 634, 4110, 540, 891, 17244, 9775, 1063, 1367, 5243, 267, 543, 1256, 1063, 519, 1482, 2915, 781, 4064, 269, 9460, 288, 568, 15110, 607, 606, 3267, 9460, 288, 568, 3361, 676, 16789, 1646, 540, 519, 3750, 269, 23299, 540, 519, 2281, 540, 519, 17911, 6712, 540, 519, 23726, 5738, 2873, 547, 3267, 834, 301, 13960, 32108, 667, 3089, 24729, 1782, 4825, 686, 1197, 11833, 630, 24433, 29215, 7502, 773, 16685, 1323, 28109, 5494, 2642, 769, 634, 25429, 32108, 667, 3089, 24729, 1782, 4825, 686, 1197, 269, 4429, 8448, 15087, 602, 949, 581, 1459, 1331, 25858, 344, 267, 23743, 1194, 2960, 1472, 519, 4064, 543, 5924, 17244, 540, 519, 22442, 10449, 267, 32071, 4900, 3267, 568, 513, 4686, 16220, 26945, 1895, 540, 4713, 602, 616, 6353, 676, 22787, 24845, 10077, 899, 11132, 15087, 3267, 5276, 10237, 2218, 24221, 593, 519, 30432, 543, 22787, 8880, 562, 22438, 698, 16443, 269, 8409, 609, 519, 5590, 548, 529, 6794, 949, 581, 4429, 2177, 295, 666, 581, 796, 10561, 630, 514, 835, 3750, 264, 610, 24845, 630, 514, 1312, 4064, 1070, 4352, 621, 6799, 1034, 1419, 21536, 831, 958, 630, 3199, 22103, 5221, 519, 3267, 667, 583, 2023, 267, 717, 715, 630, 272, 5437, 476, 1220, 275, 1040, 834, 17812, 523, 1388, 4713, 540, 519, 23726, 8229, 281, 14155, 725, 543, 3834, 6955, 14901, 2668, 16685, 269, 476, 1240, 630, 1556, 2567, 476, 9818, 279, 268, 10441, 279, 269, 3267, 2806, 7538, 885, 10423, 3842, 8411, 528, 14508, 2762, 666, 1331, 989, 523, 8412, 630, 11274, 775, 264, 610, 3834, 6955, 14901, 540, 519, 24402, 1289, 657, 636, 267, 9000, 610, 3267, 17889, 547, 5447, 519, 4064, 666, 581, 5340, 2899, 1453, 609, 2269, 321, 1143, 639, 1020, 3160, 3308, 1035, 8462, 538, 1312, 4064, 267, 1034, 1419, 4429, 20812, 13630, 601, 528, 1143, 630, 684, 17141, 2647, 1606, 564, 4064, 1070, 7986, 28882, 7633, 543, 24101, 571, 12643, 1388, 25170, 630, 1492, 32071, 992, 25170, 1070, 24845, 3267, 715, 553, 617, 13424, 334, 659, 15064, 6794, 568, 22787, 543, 568, 6353, 676, 513, 1297, 540, 17725, 267, 11132, 543, 22623, 658, 2934, 269, 1452, 1331, 3267, 9615, 540, 713, 13487, 25983, 1275, 666, 2154, 6391, 267, 610, 1875, 1606, 17790, 5773, 899, 17891, 1130, 341, 592, 6955, 7360, 630, 342, 573, 2287, 519, 3267, 715, 553, 617, 13424, 334, 659, 15064, 6794, 267, 849, 1572, 3223, 328, 13630, 6794, 267, 568, 513, 4686, 22787, 6794, 1101, 4330, 676, 808, 6993, 269, 3223, 328, 13630, 543, 4429, 1862, 568, 513, 4686, 22787, 4524, 269, 898, 568, 849, 1634, 607, 3185, 7394, 7988, 2102, 8412, 267, 24845, 3185, 7394, 7988, 2102, 8412, 267, 3267, 28438, 910, 5455, 1189, 569, 1793, 13589, 22442, 1749, 28024, 13987, 10374, 17873, 630, 6193, 668, 20782, 264, 12339, 2720, 910, 15534, 270, 629, 7538, 674, 4310, 7633, 540, 519, 12636, 630, 338, 659, 5300, 3267, 11524, 2637, 527, 712, 2435, 17244, 7201, 16467, 539, 9641, 30171, 13811, 639, 12091, 3930, 639, 2986, 4063, 7214, 1646, 3335, 568, 3267, 24845, 7304, 984, 514, 31096, 543, 3185, 7394, 3834, 6955, 14901, 10595, 639, 783, 1795, 625, 6794, 269, 634, 1292, 2934, 540, 713, 4524, 616, 896, 16467, 539, 4429, 288, 897, 984, 5448, 666, 2049, 538, 835, 3750, 630, 684, 10561, 264, 610, 1312, 4064, 630, 321, 10561, 1040, 4107, 2665, 540, 897, 984, 5448, 1860, 1152, 519, 32640, 269, 4658, 609, 3267, 16685, 17244, 723, 1044, 3254, 547, 2049, 538, 936, 476, 3445, 260, 540, 1453, 609, 19341, 4568, 6794, 269, 4033, 522, 4788, 4731, 845, 725, 602, 3267, 623, 6782, 17241, 267, 24023, 808, 300, 267, 2098, 517, 3570, 808, 267, 962, 784, 20793, 630, 2735, 272, 1040, 834, 8624, 984, 5448, 267, 22787, 2295, 2068, 267, 543, 1781, 534, 531, 693, 637, 807, 609, 2789, 22114, 3267, 8940, 25331, 333, 756, 3820, 16896, 270, 5674, 324, 268, 8234, 31378, 268, 1718, 1431, 22271, 31378, 268, 1718, 1431, 270, 3712, 984, 5448, 258, 303, 10844, 318, 280, 1789, 274, 24125, 2421, 267, 590, 297, 282, 1520, 20462, 267, 590, 282, 31408, 267, 9460, 282, 667, 663, 7431, 267, 700, 282, 4429, 1862, 2864, 982, 17244, 538, 519, 2281, 540, 519, 3750, 781, 22100, 269, 898, 568, 1419, 11821, 609, 22787, 513, 577, 668, 520, 3591, 807, 855, 5817, 3267, 898, 568, 7164, 2436, 713, 729, 519, 1267, 540, 24845, 15087, 1373, 811, 2693, 547, 3132, 2681, 2000, 1601, 2589, 267, 610, 952, 621, 729, 513, 3267, 1261, 1336, 3536, 29832, 755, 532, 538, 741, 12457, 880, 267, 4666, 5920, 543, 1185, 547, 2673, 1010, 4064, 547, 3548, 269, 1809, 713, 1705, 711, 948, 1360, 1454, 267, 3267, 6423, 834, 11795, 2397, 689, 5556, 523, 1388, 21926, 668, 520, 3591, 807, 257, 3296, 2630, 269, 24583, 13887, 513, 577, 668, 520, 3591, 13519, 338, 1419, 723, 4057, 8901, 1035, 8462, 269, 634, 1034, 4429, 763, 1614, 1034, 1455, 5778, 268, 2684, 11209, 6193, 17244, 2938, 538, 24197, 4713, 616, 24845, 23726, 29302, 267, 3267, 901, 7363, 4386, 538, 1312, 4064, 693, 519, 1482, 942, 543, 568, 711, 2404, 609, 1022, 3750, 1928, 269, 1358, 1522, 7620, 5469, 513, 20747, 3267, 634, 1576, 540, 2126, 9775, 609, 519, 22787, 3029, 540, 891, 5778, 12949, 625, 269, 1703, 616, 930, 3075, 5574, 602, 723, 3254, 3267, 543, 2356, 6799, 609, 4028, 5075, 2530, 538, 835, 3750, 4553, 676, 9525, 540, 519, 2034, 3750, 630, 17141, 1369, 3275, 1040, 4429, 17812, 523, 1388, 29847, 5549, 2064, 281, 835, 538, 1169, 476, 1911, 876, 268, 5611, 876, 2661, 24570, 269, 645, 10561, 538, 909, 547, 476, 3199, 260, 540, 2665, 269, 4107, 2665, 616, 26742, 19631, 630, 3267, 898, 568, 3361, 1813, 547, 17244, 538, 519, 18751, 12068, 5086, 1646, 602, 29572, 25694, 856, 6503, 538, 519, 9000, 540, 3267, 513, 2783, 538, 799, 519, 8006, 540, 519, 31894, 568, 3677, 982, 8912, 543, 519, 3750, 568, 6382, 3339, 269, 5565, 540, 519, 811, 4122, 3267, 5556, 523, 1388, 12729, 3794, 26153, 593, 3461, 29335, 22319, 18800, 270, 10998, 10292, 21610, 296, 295, 270, 308, 310, 7127, 593, 12729, 5556, 523, 1388, 3794, 26153, 3794, 26153, 7127, 593, 623, 24774, 11902, 4429, 291, 6350, 523, 30110, 23364, 267, 918, 269, 630, 1220, 277, 1040, 5556, 523, 1388, 22114, 543, 9715, 17244, 540, 519, 23726, 8229, 267, 630, 309, 619, 542, 476, 1691, 269, 274, 1040, 772, 696, 334, 14630, 630, 4002, 6441, 710, 3267, 634, 23726, 8229, 2212, 267, 610, 23726, 1167, 568, 519, 18751, 1439, 540, 519, 8229, 602, 568, 538, 519, 3750, 543, 8754, 568, 7298, 609, 606, 3267, 6168, 1079, 555, 8674, 547, 1614, 20453, 540, 4791, 2665, 616, 24845, 269, 589, 683, 23145, 10043, 1353, 540, 476, 278, 4391, 2665, 4951, 513, 476, 273, 269, 275, 260, 11841, 609, 3267, 898, 568, 4092, 13439, 958, 543, 5594, 17071, 547, 519, 5672, 3121, 540, 519, 3750, 269, 1703, 568, 513, 9420, 5544, 693, 519, 23726, 1167, 1317, 972, 616, 4429, 17812, 523, 1388, 17244, 540, 519, 2295, 723, 849, 1044, 4767, 609, 5689, 335, 826, 577, 6794, 269, 3245, 513, 2635, 5545, 7008, 267, 25590, 523, 3267, 610, 24845, 630, 320, 977, 532, 1312, 5011, 540, 519, 5023, 543, 31370, 1040, 11120, 658, 1579, 1111, 532, 3622, 13315, 513, 2647, 2039, 540, 10335, 267, 3267, 29099, 2647, 1606, 564, 4064, 267, 3006, 4080, 607, 7658, 4754, 28387, 1070, 7522, 5493, 701, 13887, 535, 1170, 999, 630, 1492, 9668, 1063, 519, 5580, 543, 3267, 834, 293, 19781, 910, 667, 8656, 294, 301, 5308, 3041, 5508, 12164, 294, 2894, 3951, 3201, 589, 8042, 3036, 300, 3201, 296, 25765, 910, 5990, 476, 1240, 268, 2537, 654, 7417, 16775, 14662, 3198, 2668, 2578, 6350, 2593, 269, 1962, 269, 8158, 5437, 476, 1626, 267, 476, 1001, 271, 269, 834, 14240, 4429, 3849, 738, 623, 339, 2670, 693, 552, 8469, 21778, 834, 292, 6614, 623, 339, 2670, 5556, 523, 1388, 2668, 8158, 476, 1001, 271, 268, 6187, 268, 1691, 269, 5685, 560, 19907, 267, 808, 630, 1220, 274, 1040, 834, 303, 339, 2670, 281, 3123, 267, 6881, 267, 3267, 634, 28887, 2670, 3361, 676, 519, 522, 1529, 558, 19318, 25097, 344, 666, 581, 796, 10561, 610, 24845, 267, 607, 519, 1016, 333, 16197, 639, 547, 519, 26550, 1807, 4887, 568, 513, 3838, 267, 3267, 623, 339, 2670, 666, 581, 3361, 676, 519, 3284, 821, 1755, 3974, 540, 519, 26550, 1807, 4887, 267, 8229, 17244, 267, 8194, 267, 6553, 610, 15087, 540, 519, 19984, 3267, 5556, 523, 1388, 28887, 2670, 568, 22420, 538, 1614, 1292, 3029, 269, 15486, 540, 22787, 28887, 2670, 2611, 7164, 269, 623, 339, 2670, 949, 581, 3361, 676, 3441, 4429, 1862, 543, 22787, 18555, 1145, 269, 13660, 2033, 6794, 568, 1034, 4440, 513, 3765, 342, 3931, 540, 519, 3750, 6091, 267, 4929, 930, 3750, 6091, 547, 4579, 3267, 2755, 2356, 9678, 547, 519, 3750, 17244, 267, 13660, 2033, 6794, 666, 581, 2404, 609, 824, 2042, 1519, 17818, 12636, 3267, 15907, 476, 1015, 268, 736, 260, 540, 2665, 616, 22686, 282, 891, 616, 811, 2693, 547, 581, 24845, 982, 1875, 1922, 7056, 658, 13660, 2033, 6794, 269, 13660, 2033, 6794, 814, 3267, 13660, 2033, 6794, 568, 513, 22787, 4686, 1826, 540, 2269, 321, 1143, 639, 1034, 4122, 6353, 676, 519, 17418, 540, 519, 3750, 547, 1847, 856, 2072, 4429, 1862, 12970, 1020, 538, 1312, 4064, 630, 321, 10561, 30636, 984, 18431, 5448, 1040, 634, 1297, 543, 2450, 540, 6084, 2293, 593, 1142, 3750, 949, 4268, 269, 769, 1978, 2665, 267, 3267, 547, 948, 3313, 2436, 519, 4064, 616, 18084, 269, 16685, 6514, 281, 10992, 585, 1022, 7293, 17244, 269, 21563, 534, 26396, 5280, 3267, 476, 272, 269, 6431, 11962, 5409, 27415, 3119, 3857, 516, 748, 630, 15771, 11901, 2567, 22787, 11095, 31096, 540, 519, 3750, 4611, 689, 5821, 540, 519, 3267, 16685, 2860, 16685, 6514, 4825, 514, 984, 18431, 5448, 19871, 1977, 9435, 5980, 630, 1220, 274, 1040, 834, 6637, 476, 5952, 269, 3026, 21182, 916, 540, 519, 16685, 2668, 9435, 4429, 17812, 523, 1388, 17725, 17244, 2637, 13443, 6508, 6803, 5991, 846, 17244, 21733, 1600, 17244, 971, 607, 281, 2353, 21544, 543, 3267, 519, 21431, 781, 31378, 2070, 630, 5228, 2630, 1070, 519, 6177, 781, 31378, 2070, 630, 1478, 3650, 1070, 543, 1614, 6709, 6621, 3491, 12803, 5784, 269, 7353, 1748, 589, 269, 910, 7046, 3267, 952, 24845, 31027, 531, 22286, 2355, 616, 1031, 267, 519, 31027, 531, 20162, 1281, 1831, 1821, 6018, 1242, 267, 7654, 689, 1775, 520, 4088, 545, 31027, 531, 3267, 22787, 9224, 12889, 543, 22775, 885, 269, 5556, 523, 1388, 17244, 595, 3847, 9067, 543, 31370, 538, 4999, 282, 1579, 1111, 9067, 630, 3832, 3342, 577, 529, 529, 4429, 1103, 3425, 267, 19341, 1579, 1111, 9067, 543, 824, 22787, 17244, 723, 849, 1044, 5532, 547, 14774, 3834, 2135, 807, 267, 607, 3361, 676, 552, 3052, 269, 3267, 595, 3847, 338, 666, 849, 1860, 824, 2694, 540, 519, 3068, 267, 971, 607, 519, 4064, 267, 10772, 267, 9224, 267, 1750, 4060, 267, 543, 30432, 269, 769, 476, 3192, 277, 267, 6754, 570, 612, 1512, 3267, 769, 930, 2665, 540, 513, 4049, 1979, 2000, 8632, 2347, 1579, 1111, 267, 519, 6566, 1314, 16736, 10126, 786, 581, 31732, 24231, 2484, 3544, 519, 5023, 269, 3267, 769, 14814, 1579, 1111, 31370, 1133, 10561, 2347, 9067, 543, 31370, 645, 10561, 2347, 9067, 543, 31370, 589, 1267, 540, 606, 1930, 4276, 4429, 305, 889, 7578, 568, 1634, 547, 2014, 17244, 540, 519, 3750, 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 ]
[ 1858, 269, 634, 9998, 835, 267, 5842, 2274, 821, 267, 729, 12617, 676, 23419, 538, 519, 4571, 268, 1626, 628, 2540, 563, 268, 5617, 335, 27591, 630, 16647, 269, 476, 2764, 267, 1822, 264, 568, 1753, 547, 18264, 2522, 663, 267, 519, 4102, 1216, 335, 1046, 538, 7013, 7977, 282, 543, 18264, 333, 24550, 267, 7977, 781, 11359, 28376, 10918, 4099, 269, 1234, 321, 16742, 538, 476, 15433, 275, 538, 513, 7470, 540, 2786, 10754, 267, 621, 568, 1634, 607, 519, 834, 3832, 1087, 4580, 540, 519, 18264, 3534, 4799, 268, 645, 1014, 322, 822, 8759, 630, 16647, 269, 476, 2537, 267, 1822, 264, 729, 8547, 538, 519, 3735, 476, 1428, 628, 2540, 676, 24640, 2103, 7904, 7566, 12228, 30689, 269, 589, 544, 4115, 12835, 4547, 936, 676, 519, 3312, 13896, 568, 1869, 9006, 23306, 676, 519, 10034, 15161, 269, 634, 4527, 540, 15852, 544, 2378, 807, 804, 753, 8309, 547, 519, 5266, 1164, 2199, 6760, 2557, 563, 299, 6072, 2095, 689, 18264, 3534, 1282, 606, 20349, 538, 5130, 476, 1001, 272, 563, 15862, 281, 19449, 12494, 21034, 1315, 16671, 15760, 4149, 288, 476, 274, 269, 271, 454, 268, 1520, 3757, 334, 630, 16647, 269, 476, 3374, 267, 1822, 11317, 264, 729, 8547, 1472, 476, 6110, 7460, 676, 667, 542, 903, 639, 267, 519, 5259, 1119, 7949, 540, 5204, 2350, 2224, 269, 589, 7203, 659, 523, 8115, 543, 513, 22374, 14500, 1449, 1518, 547, 519, 4884, 781, 9867, 1686, 563, 268, 17588, 974, 630, 16647, 269, 476, 866, 267, 1822, 1070, 476, 1015, 5195, 630, 1626, 5998, 264, 689, 18264, 3534, 781, 21895, 267, 568, 3957, 1310, 1412, 1492, 774, 1495, 19907, 3299, 835, 540, 519, 7814, 8554, 689, 5259, 13299, 1767, 547, 2661, 896, 519, 18962, 269, 769, 476, 9692, 280, 267, 6628, 781, 8098, 12637, 20307, 729, 2813, 16099, 540, 17588, 974, 676, 3751, 30544, 8633, 540, 10878, 1255, 267, 538, 14696, 585, 1010, 948, 538, 1139, 7675, 513, 4838, 543, 23232, 30544, 781, 17599, 454, 268, 20290, 7357, 11303, 676, 17588, 974, 267, 519, 2370, 4884, 540, 5689, 564, 1729, 630, 16647, 269, 476, 275, 267, 1822, 264, 18953, 5216, 824, 25772, 3842, 519, 1232, 760, 2002, 693, 18264, 3534, 781, 21895, 269, 4706, 8129, 4266, 1394, 547, 513, 14500, 3710, 538, 519, 476, 1724, 628, 2540, 676, 2494, 15728, 328, 5689, 24297, 267, 513, 3448, 540, 14890, 19291, 4083, 269, 1280, 519, 1614, 6377, 853, 3863, 9440, 16635, 4371, 1142, 4873, 267, 519, 17137, 3132, 513, 9649, 12450, 9440, 14735, 540, 936, 513, 8536, 737, 3342, 563, 288, 1297, 540, 16857, 6811, 27721, 593, 519, 3162, 24504, 454, 15862, 281, 700, 758, 531, 318, 3682, 16344, 1315, 16671, 15760, 4149, 288, 476, 273, 269, 276, 454, 18814, 547, 5689, 564, 1729, 781, 10859, 10276, 743, 8491, 3510, 267, 596, 1223, 8044, 602, 711, 476, 1015, 855, 476, 1556, 5094, 16857, 4559, 2743, 693, 18264, 3534, 781, 21895, 269, 23657, 1259, 267, 621, 781, 513, 2603, 269, 634, 2601, 585, 713, 2189, 3510, 568, 519, 3742, 15027, 1533, 540, 519, 7823, 269, 901, 14906, 619, 519, 21895, 543, 1804, 2127, 1472, 621, 12303, 791, 817, 762, 269, 8616, 18513, 6392, 267, 899, 2470, 3294, 267, 705, 4243, 513, 12511, 269, 1924, 519, 4478, 10034, 1305, 741, 7182, 711, 1141, 741, 8075, 610, 4610, 1439, 2443, 1346, 7182, 1131, 581, 4756, 19037, 267, 1813, 547, 519, 13112, 2456, 540, 519, 7823, 2443, 855, 693, 519, 9663, 1492, 560, 2009, 1448, 281, 519, 7823, 781, 1283, 563, 5278, 786, 2161, 602, 513, 2147, 3510, 4386, 693, 519, 3162, 24504, 267, 1141, 1585, 267, 14356, 20718, 6811, 723, 849, 2813, 513, 1232, 760, 2002, 269, 1809, 2094, 519, 21303, 15521, 540, 476, 3422, 272, 814, 3927, 13792, 782, 16857, 6811, 538, 19778, 267, 602, 1232, 760, 2002, 693, 519, 5377, 540, 519, 1158, 568, 513, 4956, 569, 7811, 835, 269, 1677, 3643, 519, 1158, 781, 1152, 834, 331, 633, 257, 835, 267, 18214, 519, 8122, 540, 22031, 3873, 652, 639, 781, 585, 613, 267, 543, 7281, 646, 781, 711, 827, 547, 10726, 593, 1010, 606, 341, 559, 563, 13356, 760, 2002, 4786, 25735, 609, 2186, 10479, 540, 18536, 17755, 3757, 698, 7315, 563, 1805, 9792, 21476, 1948, 4200, 273, 454, 294, 582, 513, 9490, 4786, 286, 2913, 803, 917, 693, 4757, 11333, 2593, 563, 4517, 344, 6341, 6199, 543, 595, 2077, 514, 6660, 3999, 328, 1205, 12758, 538, 606, 12808, 16806, 942, 8520, 563, 268, 5565, 16806, 14538, 3605, 789, 2811, 16290, 538, 606, 12808, 942, 8520, 267, 24971, 909, 538, 26054, 25951, 936, 543, 936, 543, 936, 563, 268, 1306, 519, 4641, 540, 741, 3510, 5036, 538, 267, 715, 5138, 543, 8861, 6430, 547, 2972, 519, 16625, 32570, 902, 563, 268, 634, 4670, 568, 9985, 31764, 585, 513, 1158, 12062, 532, 693, 1753, 1282, 513, 6855, 563, 32178, 3171, 2106, 2006, 2899, 4280, 513, 25064, 2243, 269, 5565, 20037, 1053, 1175, 12943, 621, 563, 2080, 781, 513, 1187, 4603, 547, 2119, 269, 3619, 547, 707, 20562, 787, 543, 1294, 952, 596, 723, 513, 4216, 540, 838, 698, 515, 26152, 269, 1403, 596, 798, 267, 1491, 856, 513, 562, 22259, 269, 3400, 321, 1312, 7475, 540, 621, 543, 18846, 621, 2394, 621, 9397, 538, 3368, 269, 1215, 1082, 4773, 1705, 621, 2736, 883, 286, 1403, 596, 3893, 1079, 1804, 4773, 543, 693, 2547, 835, 1507, 4062, 596, 2811, 711, 4805, 563, 3719, 2257, 14560, 513, 1434, 4161, 283, 335, 285, 763, 9814, 7283, 5667, 9407, 2394, 476, 1220, 276, 267, 950, 3943, 3744, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 270, 349, 7596, 8432, 270, 257, 3077, 6889, 318, 29734, 22969, 15368, 850, 10748, 8432, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 270, 349, 928, 4157, 597, 577, 270, 257, 3077, 6889, 318, 29734, 22969, 5353, 30807, 1329, 3026, 4157, 597, 577, 21742, 320, 285, 342, 517, 606, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 574, 22238, 762, 2593, 270, 580, 270, 257, 3077, 6889, 318, 29734, 22969, 296, 326, 17587, 15356, 9572, 320, 285, 267, 606, 8366, 2016, 547, 3744, 585, 1483, 960, 799, 568, 540, 513, 1447, 3978, 2470, 982, 519, 8906, 602, 3094, 17587, 26065, 267, 585, 6368, 8159, 1946, 713, 4523, 269, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 4882, 335, 698, 515, 26152, 270, 7596, 8432, 318, 928, 4157, 597, 577, 6958, 4048, 7695, 15005, 257, 3077, 6889, 318, 29734, 22969, 19853, 1957, 10503, 519, 1198, 568, 4898, 2685, 16168, 547, 1224, 9572, 320, 285, 267, 607, 621, 3217, 971, 513, 7333, 531, 3390, 865, 12517, 269, 21742, 335, 12481, 335, 285, 5445, 7152, 602, 950, 513, 11425, 568, 18761, 2250, 513, 1978, 1448, 267, 971, 607, 950, 838, 698, 515, 26152, 568, 2879, 11474, 538, 3368, 676, 19755, 621, 693, 519, 7475, 267, 513, 834, 338, 333, 777, 3724, 1198, 257, 568, 2813, 269, 901, 3123, 1648, 547, 26871, 828, 622, 689, 519, 3355, 2736, 547, 824, 2694, 540, 519, 11425, 267, 1419, 3056, 547, 513, 2034, 2736, 11992, 27135, 335, 12481, 335, 285, 4407, 713, 12306, 519, 3390, 540, 2999, 655, 285, 25585, 21742, 655, 285, 4944, 698, 515, 26152, 30653, 2736, 883, 1614, 610, 811, 4773, 267, 621, 4769, 1405, 3715, 952, 789, 2141, 1185, 547, 2736, 713, 1259, 269, 634, 2243, 540, 952, 519, 26882, 3724, 1223, 581, 14931, 7283, 796, 3553, 339, 1194, 27135, 335, 11417, 24357, 27913, 267, 1373, 2933, 267, 5612, 4941, 547, 2119, 543, 2736, 18437, 883, 1079, 4773, 1210, 713, 9623, 283, 335, 12481, 320, 27430, 6889, 10059, 2517, 549, 515, 1170, 269, 5320, 12304, 2593, 11721, 684, 270, 257, 3077, 6889, 318, 29734, 22969, 305, 10735, 1261, 1170, 518, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10059, 2517, 4118, 269, 2466, 12975, 7933, 1311, 800, 24579, 12803, 21703, 286, 3671, 284, 9965, 278, 257, 3077, 6889, 318, 29734, 22969, 309, 880, 531, 4793, 559, 9572, 320, 285, 267, 1079, 10927, 1053, 4867, 693, 26658, 543, 20037, 6606, 267, 1224, 827, 3171, 2106, 2006, 781, 3781, 540, 562, 22259, 2879, 6260, 538, 1362, 543, 941, 6273, 547, 2119, 543, 1265, 1018, 1223, 581, 2944, 547, 1118, 2386, 519, 18437, 2141, 13264, 538, 1079, 27135, 335, 12481, 335, 12481, 320, 27430, 6889, 10674, 2517, 18080, 269, 2466, 12975, 270, 1001, 279, 270, 2466, 2173, 520, 11490, 2103, 1606, 9876, 21943, 6040, 17898, 698, 515, 26152, 2173, 344, 20712, 268, 32146, 274, 257, 3077, 6889, 318, 29734, 22969, 3528, 11093, 519, 30653, 538, 513, 2027, 3684, 9572, 320, 285, 3710, 585, 519, 4305, 543, 10916, 519, 19755, 609, 513, 1164, 14617, 8254, 267, 519, 1762, 3744, 941, 2111, 547, 7747, 538, 3665, 1469, 4010, 1018, 1142, 1689, 538, 741, 2879, 6260, 1505, 1705, 547, 519, 18437, 269, 2991, 8840, 811, 982, 476, 4335, 30653, 267, 789, 1336, 519, 3070, 27135, 335, 11417, 763, 17102, 519, 20037, 3173, 3710, 4481, 585, 519, 4305, 540, 2879, 6260, 7366, 540, 838, 698, 515, 26152, 16853, 563, 18154, 712, 17940, 540, 519, 3173, 994, 1432, 2009, 3498, 1223, 713, 723, 286, 283, 335, 285, 763, 26882, 3724, 1198, 568, 711, 3908, 547, 4608, 10541, 18437, 30653, 543, 666, 581, 4294, 547, 22203, 540, 782, 12204, 269, 634, 6602, 540, 875, 547, 2973, 569, 2736, 873, 538, 1079, 1223, 581, 4294, 547, 2104, 4702, 3785, 27135, 335, 12481, 335, 285, 12024, 3772, 267, 6616, 875, 1919, 23650, 543, 3111, 568, 2141, 13561, 547, 917, 950, 596, 2811, 3843, 547, 1628, 1919, 269, 12539, 15089, 582, 25683, 267, 2999, 320, 27430, 6889, 10059, 2517, 15927, 20459, 2593, 270, 728, 2378, 3975, 270, 21666, 5991, 534, 582, 4209, 1606, 10628, 3887, 4582, 1807, 257, 3077, 6889, 318, 1345, 22969, 27273, 2178, 26561, 1419, 688, 6150, 607, 519, 2679, 1570, 540, 519, 2104, 9572, 320, 285, 267, 616, 849, 22203, 799, 666, 581, 1732, 6956, 7064, 547, 713, 9642, 4603, 27135, 335, 12481, 335, 285, 15919, 2462, 8906, 666, 581, 6273, 676, 25064, 2055, 269, 1403, 621, 22821, 1405, 1044, 585, 9400, 3171, 2106, 2006, 19755, 30653, 29235, 1296, 3516, 267, 649, 9327, 1405, 917, 1018, 649, 917, 1631, 827, 875, 1648, 568, 24797, 998, 22203, 543, 875, 547, 1852, 741, 5762, 1005, 269, 2755, 711, 782, 25064, 2055, 786, 1291, 547, 971, 513, 1713, 6602, 267, 789, 666, 782, 948, 721, 1451, 27135, 335, 11417, 763, 15491, 6147, 31616, 568, 1804, 2443, 621, 781, 1175, 17401, 25649, 563, 268, 589, 3532, 18909, 5916, 609, 9781, 3301, 2164, 538, 513, 11207, 1007, 2070, 540, 519, 1480, 6147, 31616, 563, 268, 634, 865, 10777, 1412, 331, 8077, 2634, 262, 568, 5176, 476, 3199, 260, 519, 2450, 540, 519, 19548, 16794, 950, 621, 781, 11200, 539, 563, 268, 901, 851, 540, 519, 2634, 568, 2404, 609, 513, 2603, 540, 1919, 267, 543, 513, 1007, 5691, 4786, 568, 9290, 2406, 26093, 543, 1950, 563, 9617, 896, 938, 2634, 781, 16794, 543, 2673, 547, 938, 2634, 6565, 18795, 519, 6147, 31616, 267, 849, 1634, 607, 519, 834, 331, 8077, 2634, 1701, 898, 781, 606, 1418, 1082, 2831, 723, 267, 543, 649, 2811, 1869, 1565, 1018, 621, 1281, 538, 3425, 269, 898, 781, 1279, 1044, 2219, 547, 581, 3238, 538, 10444, 3403, 543, 5179, 1852, 267, 855, 2487, 2090, 5267, 621, 849, 4249, 513, 1909, 538, 513, 2603, 540, 824, 1919, 267, 1519, 7553, 267, 2219, 267, 543, 1928, 269, 2991, 782, 267, 827, 3368, 540, 519, 2634, 781, 11409, 21078, 972, 269, 1809, 621, 781, 865, 1507, 269, 31453, 621, 781, 711, 267, 2687, 547, 513, 1007, 1353, 689, 5842, 17630, 3557, 2160, 630, 306, 9169, 308, 264, 3370, 538, 623, 2793, 306, 630, 3682, 17503, 540, 519, 2817, 9142, 540, 7070, 1916, 288, 8849, 1835, 17845, 701, 454, 288, 1007, 9196, 1353, 3366, 676, 6530, 7548, 543, 5042, 5778, 27023, 626, 9410, 590, 699, 7224, 540, 519, 590, 9169, 308, 18909, 24919, 4741, 8761, 602, 519, 6147, 31616, 568, 2965, 606, 5704, 2299, 25649, 1418, 602, 814, 513, 2627, 1858, 3160, 538, 2450, 547, 476, 4281, 2600, 540, 519, 19548, 16794, 269, 590, 699, 7224, 267, 513, 22082, 538, 18909, 2634, 9196, 267, 32524, 609, 824, 4966, 689, 519, 772, 14389, 1421, 4516, 267, 543, 519, 13814, 563, 3383, 1018, 1281, 621, 1413, 899, 286, 1133, 19507, 539, 267, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 4001, 1866, 827, 873, 269, 5994, 1373, 851, 540, 713, 9735, 2146, 14693, 267, 4543, 12624, 7186, 9156, 689, 1480, 9073, 269, 14348, 333, 1405, 602, 1745, 6909, 2496, 8855, 267, 4742, 606, 10357, 7888, 24116, 6238, 1507, 910, 6148, 676, 3395, 707, 1378, 10786, 4677, 610, 24749, 693, 2199, 11614, 269, 5272, 1900, 12523, 2509, 5329, 938, 3047, 6126, 543, 2635, 585, 5481, 547, 2097, 269, 5808, 6487, 286, 9320, 596, 786, 3605, 707, 1360, 1378, 3037, 32598, 2706, 12741, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 13909, 540, 3864, 29088, 12734, 3204, 687, 568, 513, 18758, 7681, 799, 4564, 519, 5639, 540, 519, 4829, 267, 5388, 543, 24972, 12734, 4525, 543, 741, 16073, 14540, 538, 2342, 269, 898, 5531, 338, 476, 1626, 4525, 543, 476, 3374, 4889, 725, 540, 16073, 14540, 538, 476, 1015, 3864, 2197, 563, 763, 3483, 540, 25758, 14566, 295, 568, 547, 2099, 543, 9718, 519, 2804, 543, 1514, 4690, 540, 4525, 543, 12696, 1369, 519, 3864, 5238, 563, 2005, 568, 849, 513, 3760, 585, 27300, 2833, 543, 1434, 2853, 538, 1931, 547, 6536, 12352, 543, 4745, 3527, 543, 3895, 5499, 2238, 547, 519, 4324, 540, 519, 4829, 267, 10448, 543, 24972, 12734, 5823, 563, 13070, 3472, 1116, 14502, 23941, 16581, 14502, 23941, 630, 4385, 676, 741, 3943, 3355, 338, 267, 8668, 2026, 264, 616, 3318, 2645, 585, 4294, 1382, 543, 4483, 267, 2027, 2213, 676, 5823, 630, 16667, 15505, 7031, 267, 13184, 267, 4829, 543, 5388, 267, 3857, 22450, 267, 2027, 2213, 2504, 630, 327, 677, 22450, 267, 16392, 2371, 267, 9341, 2371, 267, 13479, 3092, 13776, 5214, 6683, 264, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3383, 559, 3816, 27467, 5303, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 3397, 25348, 1315, 14606, 3163, 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, 2201, 513, 669, 11035, 1554, 267, 519, 3141, 3459, 547, 1305, 267, 7206, 519, 5318, 267, 1930, 10750, 609, 24698, 540, 10538, 543, 2699, 269, 9741, 15207, 6743, 856, 693, 519, 9583, 11995, 4262, 540, 3819, 267, 11344, 6371, 25738, 9900, 538, 519, 30089, 269, 1261, 5828, 547, 1010, 9835, 11985, 267, 945, 2893, 7381, 543, 2178, 22290, 1864, 593, 741, 2025, 11308, 11188, 577, 780, 257, 294, 8681, 11985, 2437, 4280, 15207, 267, 7279, 31394, 538, 1010, 2647, 4064, 267, 834, 25585, 1281, 519, 6607, 1413, 865, 2462, 2221, 12482, 14367, 9835, 11985, 20493, 24617, 543, 14452, 267, 834, 11039, 267, 15207, 267, 621, 781, 1317, 519, 5790, 568, 30305, 782, 1472, 721, 267, 2870, 519, 21903, 602, 519, 6607, 568, 1454, 3677, 982, 621, 2965, 568, 1701, 14529, 6748, 585, 513, 4090, 267, 646, 3773, 267, 834, 4517, 950, 519, 2011, 568, 26546, 543, 2973, 899, 2221, 267, 621, 2306, 519, 4778, 540, 519, 23863, 1256, 811, 7524, 15323, 2026, 789, 4797, 8384, 267, 513, 19157, 31115, 7902, 538, 519, 3845, 267, 18188, 4724, 519, 11397, 7823, 2039, 269, 3571, 22401, 6378, 16119, 593, 519, 16880, 267, 519, 10800, 24742, 2759, 513, 11495, 4137, 1996, 519, 20457, 540, 519, 7106, 8960, 3141, 780, 20755, 3240, 14478, 519, 31115, 2721, 6251, 2394, 5555, 267, 646, 20374, 883, 519, 20224, 5641, 676, 519, 1631, 6531, 1652, 267, 4158, 2287, 6607, 269, 2060, 10761, 538, 1010, 5639, 267, 15207, 608, 13094, 267, 834, 16100, 256, 594, 914, 646, 3513, 18214, 1346, 10239, 543, 1265, 1007, 9035, 15323, 294, 8681, 11985, 5116, 1010, 1688, 15260, 1005, 569, 593, 15207, 781, 13105, 269, 834, 15919, 267, 1498, 267, 1018, 649, 4952, 3884, 1405, 4010, 875, 1919, 2490, 856, 269, 5020, 814, 922, 1378, 26208, 543, 4245, 3010, 9617, 1287, 267, 519, 25861, 3280, 540, 1517, 27172, 6603, 741, 10772, 269, 11374, 519, 6846, 267, 789, 19481, 519, 3623, 17924, 22863, 540, 513, 10010, 23636, 540, 12418, 16559, 2066, 519, 31403, 269, 1306, 519, 1079, 32357, 547, 948, 267, 789, 4362, 1896, 1185, 15468, 2192, 1813, 547, 3668, 540, 1426, 543, 1216, 269, 6736, 741, 3646, 267, 930, 1131, 711, 7639, 519, 3781, 780, 4415, 18354, 538, 1010, 2295, 267, 15207, 26866, 1229, 267, 834, 296, 4769, 1405, 1589, 621, 1131, 1439, 899, 713, 907, 3010, 294, 1836, 8066, 15207, 2673, 267, 1010, 9835, 11985, 6045, 267, 834, 16908, 666, 581, 20437, 543, 9157, 3006, 267, 1250, 15210, 7911, 269, 1452, 12418, 14201, 1405, 5423, 585, 519, 10792, 2175, 1934, 269, 1284, 1590, 2141, 1451, 547, 3082, 543, 2149, 6000, 543, 1866, 1472, 721, 3010, 15987, 771, 24711, 2989, 267, 15207, 12247, 539, 2760, 547, 7340, 519, 4245, 3838, 602, 10543, 1107, 519, 13300, 540, 3047, 781, 5790, 267, 519, 2956, 540, 7041, 267, 543, 519, 6397, 23538, 1272, 949, 3142, 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, 8620, 606, 3312, 2110, 1650, 538, 519, 2511, 540, 12920, 532, 3118, 563, 763, 3141, 729, 4259, 267, 543, 519, 23617, 941, 1279, 543, 8900, 269, 1703, 941, 1906, 4054, 543, 1100, 15113, 269, 898, 729, 1360, 9602, 267, 543, 519, 6607, 729, 1970, 543, 2462, 269, 1703, 941, 1100, 12269, 267, 543, 519, 3141, 729, 4805, 538, 519, 6607, 269, 634, 2011, 729, 4411, 543, 1500, 519, 2960, 593, 707, 3068, 1745, 9395, 269, 634, 2842, 6926, 342, 936, 519, 23617, 267, 543, 519, 6371, 729, 6960, 543, 13888, 543, 2220, 597, 1194, 899, 519, 1216, 538, 513, 5757, 780, 1103, 519, 7178, 267, 972, 729, 513, 1970, 2039, 540, 10239, 269, 634, 10239, 941, 4158, 543, 2484, 2476, 267, 543, 519, 3141, 729, 2469, 1524, 3297, 873, 269, 589, 812, 729, 14964, 2066, 519, 23617, 2509, 519, 10239, 269, 1261, 729, 4805, 543, 729, 14964, 7444, 269, 634, 812, 20595, 513, 24120, 2066, 1010, 17525, 267, 543, 1010, 3068, 729, 4158, 543, 6094, 269, 1261, 6743, 2786, 6619, 267, 543, 1010, 4064, 941, 3109, 543, 8900, 267, 899, 519, 6607, 780, 2467, 729, 513, 1507, 23636, 540, 12418, 21737, 593, 519, 23617, 269, 634, 12418, 941, 3262, 856, 543, 941, 3001, 7444, 269, 1358, 6410, 519, 1259, 519, 2842, 6926, 342, 267, 543, 789, 941, 6094, 543, 6743, 17237, 269, 1703, 941, 1100, 824, 2831, 2223, 692, 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, 6184, 565, 1597, 1097, 543, 7813, 4533, 1097, 910, 589, 6733, 883, 24410, 16940, 10753, 753, 692, 5331, 596, 21378, 707, 3659, 1269, 2004, 547, 4444, 513, 1007, 11332, 267, 855, 789, 10093, 1405, 6976, 596, 1394, 1256, 1310, 1896, 3275, 269, 1411, 1522, 1376, 3478, 14126, 827, 2436, 596, 786, 2479, 1205, 707, 2724, 1394, 269, 901, 3510, 568, 2147, 547, 1018, 8492, 3068, 950, 1004, 610, 4213, 1810, 1405, 2628, 1394, 741, 12029, 269, 1452, 10002, 4660, 12029, 616, 1572, 6348, 6261, 518, 14127, 2667, 1115, 630, 23259, 2026, 1040, 2913, 781, 1451, 811, 827, 891, 13542, 727, 12029, 543, 875, 789, 1860, 519, 1158, 540, 12948, 2439, 1432, 616, 6348, 6261, 518, 14127, 2667, 1115, 2496, 15239, 6261, 518, 14127, 2667, 1115, 267, 610, 26128, 2026, 267, 616, 12029, 2016, 676, 8492, 543, 824, 2883, 5238, 602, 723, 711, 1044, 1065, 4660, 609, 1719, 610, 9030, 630, 1492, 3312, 2179, 22666, 264, 585, 513, 1978, 3259, 540, 942, 269, 1879, 2576, 3217, 513, 10211, 267, 789, 3858, 547, 2132, 519, 22666, 2724, 7132, 930, 3063, 2724, 1572, 1719, 1369, 513, 1808, 942, 7406, 269, 1809, 3006, 267, 789, 666, 1405, 1832, 909, 609, 741, 11033, 267, 4929, 519, 10211, 547, 1831, 606, 715, 5183, 269, 898, 781, 899, 952, 707, 3659, 7948, 1405, 2628, 596, 1394, 519, 1269, 2004, 543, 849, 11074, 9878, 1022, 3606, 2724, 7640, 539, 607, 1719, 780, 1692, 1281, 681, 10292, 5581, 26128, 2026, 2496, 1103, 3127, 267, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 1070, 799, 27459, 2478, 782, 8492, 267, 11225, 26128, 2026, 8335, 1759, 593, 1585, 2188, 971, 607, 10211, 2010, 543, 5712, 269, 4340, 547, 873, 267, 513, 10211, 7140, 883, 606, 715, 5183, 950, 621, 13515, 10451, 4747, 585, 519, 4871, 269, 1280, 3236, 267, 950, 513, 1268, 610, 1870, 14543, 547, 2628, 1719, 610, 519, 10211, 3888, 906, 630, 20791, 518, 5666, 540, 2724, 10210, 619, 991, 547, 2628, 693, 2834, 11996, 264, 585, 936, 476, 3445, 2395, 267, 1287, 713, 10211, 3587, 606, 715, 5183, 269, 1924, 267, 952, 707, 3659, 4769, 1405, 2285, 596, 1022, 6712, 540, 519, 1269, 2004, 610, 519, 8815, 5346, 517, 1719, 585, 811, 982, 1614, 3275, 267, 519, 1482, 4341, 1131, 4019, 780, 3963, 798, 649, 1416, 827, 26128, 2026, 2496, 23259, 2026, 2339, 1317, 789, 1764, 519, 2949, 6617, 543, 4398, 540, 519, 2883, 1062, 269, 1403, 1932, 1082, 12029, 2490, 883, 26128, 2026, 267, 8492, 949, 6560, 547, 1683, 1007, 12029, 2094, 789, 4465, 1405, 723, 2614, 7482, 2139, 269, 3958, 267, 7829, 1804, 2338, 540, 26128, 2026, 3322, 3790, 585, 8492, 267, 7133, 741, 20656, 543, 1818, 621, 2352, 585, 873, 547, 4196, 5561, 1134, 269, 4475, 267, 5329, 3950, 540, 26128, 2026, 543, 5466, 873, 3927, 2337, 2327, 513, 2635, 543, 14762, 4346, 780, 2414, 2040, 909, 267, 1175, 899, 875, 596, 1616, 707, 2828, 547, 8956, 741, 19647, 950, 24228, 2724, 267, 8492, 2503, 519, 1482, 21806, 689, 1346, 945, 1491, 12029, 269, 1635, 1620, 519, 2956, 540, 12905, 7963, 23231, 618, 543, 1565, 827, 26128, 2026, 267, 596, 1631, 917, 1946, 621, 781, 2629, 585, 3025, 3238, 538, 519, 23831, 1184, 1765, 2041, 621, 2043, 610, 2462, 14078, 269, 5457, 267, 1169, 8297, 701, 324, 12523, 267, 543, 3743, 24228, 5849, 513, 2178, 2883, 5117, 585, 16764, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15239, 27400, 2667, 1115, 10460, 513, 3978, 1966, 585, 519, 1072, 540, 519, 2883, 5823, 538, 938, 13474, 269, 2311, 519, 856, 3553, 1577, 721, 1174, 519, 4214, 540, 715, 5183, 269, 769, 2241, 2474, 26128, 2026, 4016, 547, 12029, 2016, 676, 24434, 543, 11038, 30543, 602, 2611, 10002, 4660, 2901, 593, 2272, 540, 519, 14222, 9030, 543, 5924, 1719, 972, 517, 563, 6097, 547, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 264, 968, 534, 10697, 267, 1519, 513, 682, 1078, 10697, 267, 3587, 1875, 7900, 950, 621, 2781, 1162, 547, 5352, 4747, 585, 519, 7813, 6100, 4935, 267, 513, 2048, 12061, 7900, 12431, 564, 685, 630, 301, 5183, 264, 729, 3989, 607, 513, 5491, 9744, 538, 2463, 540, 799, 519, 1719, 543, 5924, 1128, 531, 618, 540, 9030, 814, 7283, 2250, 1813, 585, 513, 9138, 1974, 540, 942, 563, 763, 2930, 8760, 540, 606, 715, 5183, 729, 15428, 689, 942, 547, 942, 543, 689, 519, 1032, 476, 4029, 560, 4728, 267, 476, 1220, 275, 27477, 267, 519, 476, 3445, 2395, 1813, 2343, 729, 9788, 1524, 17929, 606, 715, 5183, 1131, 581, 513, 10211, 1315, 4434, 1141, 912, 268, 1719, 543, 270, 610, 3888, 618, 540, 9030, 2611, 936, 16746, 585, 513, 1974, 540, 811, 982, 476, 3445, 2395, 538, 2463 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1872, 6361, 21351, 1063, 9163, 568, 1455, 1851, 23162, 31787, 543, 1419, 5526, 538, 741, 2835, 780, 5194, 4277, 2460, 540, 23162, 12677, 1396, 568, 922, 4276, 547, 1686, 269, 10705, 267, 4589, 786, 15827, 1483, 3140, 2621, 883, 741, 6386, 269, 1280, 3236, 267, 789, 949, 2911, 827, 674, 14988, 10011, 549, 781, 4473, 547, 1379, 610, 4766, 519, 2591, 5185, 676, 15076, 6028, 18010, 269, 1635, 3257, 865, 267, 3988, 1451, 811, 827, 1018, 5949, 1282, 1346, 2053, 543, 1732, 1174, 1946, 1978, 5389, 610, 4978, 3136, 2221, 780, 15563, 267, 1577, 803, 2671, 513, 1187, 1249, 281, 1705, 596, 917, 602, 1426, 4249, 513, 1713, 1909, 538, 23162, 12677, 3332, 286, 16992, 6125, 936, 3838, 6980, 267, 10346, 4196, 607, 6698, 540, 2648, 543, 1753, 267, 543, 8286, 6338, 3988, 547, 23162, 2528, 269, 1411, 1223, 2161, 602, 1169, 1434, 23162, 1650, 2501, 609, 513, 2427, 540, 2030, 1622, 2439, 3086, 602, 649, 4312, 4121, 827, 23162, 12677, 3332, 267, 594, 5000, 596, 547, 4584, 909, 513, 1433, 676, 835, 540, 891, 16805, 4589, 269, 2368, 10372, 1331, 834, 291, 3195, 532, 538, 23162, 257, 676, 595, 2077, 2088, 25661, 17144, 267, 834, 763, 631, 16251, 543, 4033, 12267, 257, 676, 27118, 9093, 2946, 526, 14162, 267, 610, 834, 31359, 540, 9454, 1080, 1299, 28545, 257, 676, 1772, 8475, 2353, 29868, 269, 5808, 6487, 32503, 1522, 3605, 513, 1007, 5172, 2278, 610, 2744, 5813, 883, 1776, 1268, 781, 1995, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4972, 540, 8225, 11595, 568, 2944, 1239, 267, 1369, 519, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 540, 519, 2556, 3883, 12752, 17072, 267, 547, 1265, 519, 2627, 540, 8345, 12707, 335, 1563, 2776, 7528, 28987, 547, 5872, 4374, 269, 8225, 3883, 12752, 18242, 20456, 19541, 269, 28570, 532, 9730, 593, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 540, 519, 824, 3007, 6957, 18818, 21107, 269, 1306, 849, 4294, 267, 693, 602, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 267, 519, 1655, 31805, 1106, 32000, 22646, 9477, 513, 7115, 1148, 8716, 519, 5929, 626, 540, 2773, 4213, 267, 543, 513, 1007, 14374, 585, 1210, 519, 4161, 729, 11979, 269, 634, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 540, 519, 590, 5746, 3459, 607, 513, 2619, 1063, 519, 14539, 8889, 543, 15789, 25032, 540, 519, 4972, 540, 8225, 11595, 263, 693, 519, 1158, 267, 519, 11595, 2575, 3909, 2275, 1735, 1088, 532, 585, 991, 543, 27317, 5856, 2987, 9113, 2064, 264, 543, 1797, 540, 519, 2199, 3381, 8630, 16799, 269, 5221, 519, 2686, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 7535, 798, 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, 889, 534, 12677, 9085, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 17104, 1299, 21337, 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, 17610, 3364, 256, 3371, 781, 513, 8908, 585, 519, 1016, 15492, 834, 274, 269, 273, 269, 10241, 540, 30911, 538, 3204, 17654, 6925, 257, 1384, 14945, 5970, 596, 2479, 4862, 540, 5160, 4702, 286, 898, 4992, 7168, 7294, 267, 855, 621, 779, 2965, 513, 2731, 3579, 1259, 602, 3744, 666, 1332, 1007, 8031, 543, 8219, 538, 519, 2978, 256, 901, 568, 2944, 1210, 1945, 1572, 968, 6798, 12771, 2223, 799, 568, 1175, 513, 16681, 2262, 585, 1210, 2713, 1919, 630, 3697, 2281, 543, 6090, 264, 547, 1118, 3730, 2472, 780, 3080, 540, 519, 2081, 602, 24684, 568, 1031, 538, 27532, 4915, 568, 998, 1945, 1572, 968, 339, 22568, 21934, 9529, 1848, 1452, 616, 2027, 3889, 602, 1683, 1489, 543, 5583, 585, 2281, 607, 789, 1332, 543, 1020, 883, 1007, 8031, 269, 6056, 827, 875, 513, 2679, 2115, 513, 7406, 547, 3180, 909, 922, 6821, 1107, 5160, 21934, 9529, 960, 538, 513, 2147, 1259, 269, 1358, 2285, 2281, 1945, 547, 8936, 547, 543, 948, 873, 10891, 2933, 883, 6198, 8031, 780, 14722, 666, 1118, 5160, 21934, 9529, 856, 540, 782, 12204, 540, 2326, 267, 1519, 2067, 3283, 899, 20018, 630, 6518, 2501, 689, 2960, 543, 7633, 264, 543, 10991, 3283, 1500, 538, 519, 2978, 269, 634, 1271, 3364, 568, 602, 891, 21934, 9529, 991, 547, 581, 2111, 547, 17932, 519, 1604, 1141, 519, 2281, 7363, 2661, 269, 2334, 1797, 789, 991, 547, 723, 519, 1318, 2168, 543, 3114, 3601, 547, 1489, 519, 2208, 540, 2635, 2281, 780, 307, 22568, 21934, 9529, 723, 6266, 540, 1761, 3096, 538, 27532, 4915, 269, 2290, 3078, 3498, 568, 538, 10138, 7067, 269, 1879, 2576, 4991, 10413, 267, 741, 1560, 6923, 6238, 1818, 1007, 2281, 547, 7816, 519, 3441, 269, 1809, 3006, 16398, 1810, 1406, 12115, 5265, 267, 3056, 547, 1085, 18732, 610, 1256, 3968, 269, 570, 22568, 21934, 9529, 666, 948, 676, 3246, 513, 2497, 585, 1007, 2281, 547, 1332, 593, 267, 5009, 5488, 543, 811, 2500, 7067, 269, 769, 1249, 267, 930, 3549, 616, 2907, 3384, 5160, 21934, 9529, 585, 946, 538, 2564, 5574, 2439, 5194, 1858, 1141, 5160, 21934, 9529, 1223, 581, 2731, 5363, 568, 538, 1418, 24328, 269, 9406, 1631, 267, 972, 5749, 1406, 2614, 8219, 2139, 585, 3025, 945, 2115, 835, 269, 1656, 1256, 950, 513, 12805, 1418, 568, 1336, 267, 972, 779, 2141, 513, 1981, 540, 18349, 269, 570, 22568, 21934, 9529, 2709, 513, 2009, 3070, 547, 1312, 540, 891, 2042, 269, 12207, 1223, 1491, 513, 8697, 1418, 543, 4894, 782, 519, 2025, 2281, 267, 6028, 3297, 1152, 519, 21934, 1245, 269, 3973, 267, 789, 1223, 6079, 519, 21934, 1245, 609, 6565, 2281, 630, 8145, 1897, 1346, 689, 3848, 476, 273, 24047, 543, 1577, 873, 1332, 883, 513, 6216, 1007, 1418, 269, 4595, 519, 1007, 1418, 1131, 2097, 689, 519, 1268, 779, 1378, 2281, 267, 972, 9327, 1406, 581, 1022, 1981, 540, 18349, 2439, 8170, 1576, 267, 972, 779, 1869, 513, 2603, 540, 1382, 547, 581, 2944, 1354, 649, 1294, 7839, 946, 540, 5160, 21934, 9529, 538, 4791, 5468, 269, 1809, 519, 7399, 616, 5963, 3078, 256, 5808, 6487, 1018, 824, 5863, 8906, 786, 581, 1500, 538, 519, 1158, 540, 27532, 4915, 2496, 3383, 1985, 942, 596, 5873, 827, 24684, 610, 5160, 4702, 267, 3314, 602, 891, 4610, 616, 4543, 721, 12260, 519, 11580, 540, 1272, 543, 22338, 519, 1259, 585, 6909, 2564, 23484, 269, 9320, 14693, 4166, 267, 7189, 786, 581, 2111, 547, 1332, 6216, 1007, 561, 1392, 610, 12271, 538, 519, 2978, 267, 4758, 1004, 513, 2034, 4960, 693, 1272, 256, 14348, 333, 1406, 602, 581, 5863, 2496, 14945, 296, 4126, 713, 2337, 256, 2913, 803, 917, 952, 596, 723, 1022, 2055, 610, 5955, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 8802, 17654, 6925, 12054, 14373, 10022, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 25745, 1591, 7350, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 30911, 543, 27532, 4915, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 25790, 538, 24684, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 273, 269, 10241, 540, 24684, 538, 27532, 4915, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7433, 267, 1603, 24881, 559, 267, 12826, 267, 610, 11127, 454, 2237, 1524, 513, 1808, 2702, 540, 1142, 1920, 4759, 593, 519, 4773, 540, 1957, 269, 4746, 1331, 513, 7008, 1919, 602, 1152, 4906, 666, 798, 269, 674, 1245, 1142, 1957, 543, 1747, 873, 538, 513, 12826, 610, 11127, 269, 7994, 835, 693, 513, 942, 543, 1224, 621, 16965, 269, 14190, 3025, 547, 7058, 799, 1268, 13292, 1142, 2702, 563, 307, 1779, 827, 875, 2696, 5795, 1142, 540, 721, 1114, 15421, 543, 5759, 269, 22716, 1125, 602, 972, 616, 930, 1919, 1152, 2696, 666, 798, 269, 8409, 616, 1572, 28986, 269, 14190, 3025, 547, 2671, 1806, 540, 2696, 779, 7067, 689, 519, 6426, 610, 689, 1699, 2833, 563, 300, 4275, 2193, 3400, 321, 20045, 454, 2005, 2114, 10261, 539, 281, 2349, 1678, 564, 543, 10788, 578, 267, 9420, 19507, 267, 4915, 11480, 609, 1297, 476, 1321, 267, 9633, 547, 3382, 5023, 454, 17004, 707, 1453, 1142, 540, 519, 1657, 3688, 543, 1294, 952, 789, 666, 1589, 540, 519, 27803, 540, 4906, 1142, 835, 4564, 269, 630, 7922, 1678, 564, 543, 10788, 578, 1700, 331, 877, 812, 593, 519, 1319, 282, 32559, 19507, 1700, 27716, 7067, 519, 9420, 282, 6925, 11480, 609, 1297, 476, 1321, 1700, 30513, 7210, 585, 476, 1321, 1296, 282, 631, 2532, 1700, 27716, 7067, 27313, 1790, 1601, 612, 539, 812, 945, 7948, 1406, 2911, 994, 289, 4361, 569, 1865, 1142, 3510, 1141, 4906, 646, 4705, 269, 13185, 827, 2053, 1261, 814, 646, 4705, 1346, 596, 917, 689, 9292, 1206, 543, 19210, 269, 19171, 707, 942, 538, 11755, 982, 6362, 2696, 585, 3571, 7067, 1379, 543, 2648, 563, 763, 20227, 1772, 585, 15526, 454, 2005, 655, 10261, 539, 281, 6426, 454, 5649, 1546, 17458, 16860, 476, 1015, 281, 1704, 1927, 563, 16485, 707, 1453, 912, 1432, 1079, 4408, 1281, 713, 14235, 1289, 519, 7083, 286, 630, 18661, 540, 10971, 543, 7083, 540, 561, 3581, 994, 1432, 616, 519, 1614, 1913, 1031, 547, 4766, 13924, 538, 713, 14235, 286, 630, 15124, 267, 22800, 267, 15813, 994, 1607, 14235, 849, 6645, 721, 602, 519, 7083, 3085, 1406, 723, 29202, 269, 1284, 723, 6266, 540, 29202, 1700, 10233, 267, 1426, 267, 4672, 8645, 267, 16741, 547, 6137, 267, 3092, 269, 1809, 2696, 14560, 782, 540, 721, 8449, 543, 6499, 1142, 540, 721, 547, 2648, 543, 23491, 13924, 267, 865, 649, 666, 2661, 609, 13924, 538, 24656, 835, 1554, 269, 17166, 519, 14235, 1927, 1896, 2053, 269, 0, 21809, 826, 540, 2696, 715, 1030, 1068, 655, 454, 1607, 949, 723, 1044, 513, 18533, 689, 513, 11454, 540, 715, 1030, 1068, 655, 269, 14066, 8988, 24112, 616, 1360, 4686, 538, 3504, 5527, 269, 634, 5601, 540, 13526, 2541, 267, 715, 1030, 1068, 655, 267, 729, 849, 513, 5601, 540, 7067, 945, 729, 1767, 547, 723, 552, 1078, 519, 7092, 540, 519, 10172, 3141, 5601, 1234, 609, 513, 536, 537, 21103, 540, 10723, 2603, 639, 563, 301, 1030, 1068, 655, 4061, 711, 1152, 4857, 609, 519, 4544, 2603, 639, 630, 301, 8233, 2801, 320, 1309, 518, 2544, 320, 264, 855, 849, 609, 519, 3141, 5601, 602, 7153, 689, 621, 267, 543, 922, 7681, 609, 1234, 568, 3833, 1455, 563, 1103, 519, 30958, 31157, 621, 568, 1572, 968, 1492, 2603, 639, 19806, 558, 538, 4395, 540, 1234, 779, 9224, 5608, 6029, 875, 922, 7681, 609, 1085, 757, 3323, 3833, 2038, 538, 942, 269, 4706, 2212, 613, 541, 568, 8984, 540, 1864, 281, 513, 2603, 639, 8768, 609, 1079, 17207, 543, 4831, 30135, 585, 519, 8405, 331, 864, 563, 763, 1034, 3810, 17028, 7458, 13526, 6979, 540, 519, 3504, 1158, 3357, 689, 5527, 269, 634, 1034, 2442, 941, 12246, 25177, 630, 320, 13526, 2541, 1759, 593, 561, 1176, 267, 1250, 337, 9071, 267, 24036, 1070, 7261, 1440, 25177, 630, 22372, 2390, 18911, 3534, 267, 3556, 600, 558, 267, 24036, 267, 1250, 337, 9071, 543, 7013, 6229, 264, 543, 21780, 14198, 630, 3240, 337, 9071, 543, 22101, 807, 609, 1028, 9285, 14779, 543, 759, 1231, 1916, 763, 5601, 540, 13526, 2541, 267, 715, 1030, 1068, 655, 610, 715, 1030, 1068, 636, 267, 729, 849, 513, 5601, 540, 7067, 945, 729, 1767, 547, 723, 552, 1078, 519, 7092, 540, 519, 10172, 3141, 5601, 1234, 609, 513, 536, 537, 21103, 540, 10723, 2603, 639, 563, 299, 622, 11270, 267, 476, 2918, 628, 19092, 267, 1309, 269, 476, 277, 5038, 268, 30589, 7460, 269, 3767, 538, 519, 12142, 8402, 3203, 7467, 269, 476, 23417, 281, 4572, 275, 0, 1103, 519, 3059, 2085, 267, 519, 5251, 540, 4081, 1603, 814, 7960, 609, 519, 4367, 540, 4359, 1893, 3631, 899, 19208, 1557, 5856, 269, 1452, 3642, 14617, 2645, 2709, 513, 10375, 1259, 547, 5352, 1543, 267, 855, 1210, 873, 585, 4081, 4574, 2501, 609, 922, 1305, 540, 4220, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 1761, 25354, 543, 1683, 4030, 883, 19086, 891, 4220, 267, 2059, 609, 14323, 8925, 563, 272, 269, 19768, 540, 18882, 1275, 912, 8601, 1373, 3532, 693, 10451, 17396, 543, 2796, 1302, 4143, 1543, 267, 19208, 19330, 519, 2702, 547, 1711, 7357, 3312, 2035, 269, 634, 2203, 12346, 593, 3270, 4121, 689, 3309, 2959, 267, 543, 607, 513, 1267, 267, 519, 6383, 1257, 949, 538, 30541, 1836, 16079, 4540, 1568, 269, 769, 519, 7706, 540, 24243, 267, 1141, 7214, 5876, 568, 3810, 12595, 267, 519, 19175, 540, 26446, 513, 1957, 602, 19330, 5169, 1275, 13514, 513, 9645, 1981, 563, 300, 527, 580, 908, 519, 11485, 912, 268, 18897, 965, 5623, 543, 3798, 1746, 912, 2414, 4831, 519, 1981, 540, 3668, 540, 5169, 1275, 267, 621, 568, 16122, 547, 4497, 538, 513, 22111, 2689, 543, 11049, 1184, 269, 2480, 337, 583, 514, 1125, 519, 1543, 6383, 676, 19208, 1557, 5856, 543, 2697, 6810, 602, 5702, 18613, 4540, 1568, 269, 769, 915, 707, 2189, 5133, 543, 4030, 547, 2327, 519, 1957, 9356, 707, 7214, 9295, 563, 268, 22034, 1773, 698, 14705, 24544, 13088, 912, 32715, 532, 17096, 7020, 2645, 666, 4196, 607, 606, 2500, 16102, 1996, 16662, 30102, 17096, 269, 1452, 2645, 948, 2697, 10486, 1063, 707, 1543, 543, 4540, 2959, 267, 3850, 596, 547, 6439, 1518, 543, 556, 874, 19189, 6810, 602, 949, 538, 30541, 1836, 18613, 824, 1568, 563, 268, 27375, 543, 4676, 17182, 912, 288, 1188, 852, 1578, 519, 2959, 602, 723, 6766, 519, 1543, 6383, 676, 19208, 269, 7743, 11239, 543, 26159, 711, 1152, 6542, 4081, 8699, 855, 849, 1683, 11413, 827, 519, 8129, 540, 519, 2093, 4843, 538, 519, 1957, 563, 4407, 19208, 666, 581, 513, 5363, 4199, 538, 519, 1603, 1184, 267, 621, 568, 2629, 547, 10880, 513, 3666, 1063, 16107, 3642, 6351, 543, 8497, 519, 13597, 540, 707, 4081, 960, 269, 20876, 519, 7687, 540, 19208, 538, 2474, 540, 10451, 7357, 3312, 2093, 12987, 513, 931, 2615, 1190, 1935, 547, 1543, 5137, 563, 273, 269, 769, 24014, 6176, 609, 19208, 4828, 27752, 912, 30942, 16821, 12958, 6114, 1759, 593, 3270, 4121, 689, 3309, 2959, 593, 519, 4950, 269, 2755, 713, 6087, 519, 2203, 547, 3132, 17396, 543, 2796, 1302, 4143, 1543, 267, 621, 849, 12857, 519, 1981, 540, 538, 3147, 340, 20874, 269, 634, 9000, 540, 513, 3710, 2987, 1249, 19295, 9535, 7271, 949, 1291, 547, 519, 10014, 540, 20093, 821, 748, 1344, 538, 707, 4081, 1957, 563, 25618, 625, 547, 3550, 6452, 5596, 912, 268, 9061, 13305, 518, 2305, 609, 3115, 17014, 17796, 912, 300, 527, 580, 908, 519, 1981, 540, 25619, 1344, 3322, 30190, 3444, 268, 591, 2305, 269, 1473, 2570, 1836, 6166, 519, 5013, 267, 1239, 267, 543, 6811, 6383, 676, 19208, 676, 17874, 18019, 543, 22265, 2959, 269, 901, 1900, 568, 2629, 547, 6439, 1518, 1022, 538, 3147, 340, 20874, 543, 3986, 519, 2949, 10727, 540, 707, 1557, 563, 268, 5517, 4211, 515, 9535, 13088, 912, 299, 1197, 720, 519, 7207, 540, 1249, 19295, 9535, 2645, 547, 18928, 2708, 519, 6111, 540, 519, 1344, 538, 707, 4081, 1957, 269, 1452, 2645, 666, 948, 2697, 27753, 543, 3391, 596, 538, 1818, 2556, 28303, 267, 4180, 602, 707, 960, 15387, 513, 1164, 3044, 540, 8856, 563, 268, 11879, 16214, 540, 12474, 912, 14946, 513, 2565, 3750, 950, 17265, 519, 1543, 6383, 676, 19208, 269, 2480, 337, 583, 514, 1125, 519, 1344, 585, 9266, 25843, 543, 11007, 269, 1403, 1978, 3877, 3100, 30940, 610, 3668, 6190, 1489, 267, 2015, 10647, 3606, 1382, 547, 19472, 610, 13217, 519, 1543, 563, 10214, 1498, 19208, 666, 581, 513, 3407, 1907, 538, 519, 1603, 1184, 267, 621, 568, 2629, 547, 5431, 922, 7687, 538, 2474, 540, 4180, 6111, 269, 22367, 6362, 513, 3666, 1063, 3642, 6351, 543, 1480, 19027, 568, 1898, 547, 3132, 4081, 3594, 602, 2743, 519, 11826, 4441, 540, 23610, 2953, 1145, 563, 274, 269, 19768, 540, 23792, 4149, 24594, 11310, 912, 8601, 922, 2702, 547, 2721, 2390, 513, 3376, 2039, 540, 2489, 1702, 267, 19208, 949, 711, 723, 519, 7463, 6791, 2838, 585, 930, 4081, 4610, 269, 634, 1981, 6013, 538, 519, 2203, 10451, 1543, 602, 19330, 519, 8356, 766, 543, 3178, 4397, 538, 10459, 609, 6946, 1641, 2339, 563, 25618, 625, 585, 14600, 12720, 912, 268, 26157, 3642, 268, 17653, 730, 12474, 609, 9608, 16869, 1047, 912, 2414, 6330, 519, 4161, 540, 3668, 540, 6389, 10391, 1702, 267, 11753, 519, 3642, 24378, 1543, 609, 707, 1378, 6791, 269, 2422, 19208, 607, 513, 14911, 1907, 2864, 982, 519, 6852, 2707, 540, 1344, 269, 5606, 2224, 707, 4030, 267, 2833, 267, 543, 1641, 10391, 1702, 547, 10802, 519, 3178, 540, 707, 4081, 1557, 563, 268, 31173, 13595, 17460, 20226, 912, 289, 16466, 519, 1702, 7934, 676, 17874, 609, 1641, 2339, 4966, 269, 18918, 538, 7391, 610, 3343, 5583, 689, 20485, 267, 3173, 267, 610, 4648, 945, 4865, 6389, 10391, 1702, 269, 4256, 3403, 666, 3986, 519, 6111, 543, 3178, 540, 707, 4081, 1557, 267, 4180, 621, 10742, 519, 11826, 4441, 540, 707, 9015, 563, 268, 4676, 17182, 8191, 5511, 17796, 912, 1805, 21880, 6533, 519, 17258, 540, 707, 4081, 1557, 676, 26159, 22265, 2959, 1369, 519, 1808, 6389, 269, 19308, 1344, 689, 14046, 13746, 267, 9499, 267, 543, 18019, 12326, 547, 6086, 5573, 6811, 543, 1683, 513, 4396, 5748, 585, 707, 7440, 563, 7212, 19208, 666, 3565, 547, 519, 1603, 1184, 267, 621, 1590, 581, 7059, 609, 6389, 10391, 1702, 269, 20876, 950, 547, 7048, 593, 519, 2203, 543, 950, 547, 7110, 922, 3977, 609, 7463, 6791, 568, 4909, 547, 13167, 606, 27268, 3280, 1557, 563, 275, 269, 769, 4621, 11962, 5675, 13910, 912, 17780, 593, 513, 3099, 540, 3270, 4121, 689, 1585, 2959, 267, 19208, 12958, 6114, 609, 8795, 1603, 6163, 269, 769, 606, 4081, 1557, 267, 1141, 9355, 543, 25843, 616, 14063, 267, 22522, 6163, 666, 1033, 847, 689, 519, 3318, 1143, 543, 1764, 540, 519, 960, 563, 25618, 625, 585, 3213, 1127, 4369, 912, 268, 18897, 965, 5623, 543, 3798, 1746, 912, 8002, 1947, 4497, 538, 513, 3102, 2689, 543, 11049, 1184, 547, 2697, 543, 6439, 1518, 8320, 540, 22522, 1603, 6163, 269, 9796, 3007, 547, 16082, 971, 607, 3159, 267, 16166, 267, 543, 4845, 2497, 269, 901, 22111, 1935, 5849, 513, 15774, 2095, 540, 2093, 2429, 519, 1557, 563, 268, 19308, 9608, 5675, 2776, 325, 3720, 912, 14813, 2224, 707, 2123, 1603, 2511, 883, 519, 1543, 6383, 676, 19208, 269, 901, 3322, 5935, 519, 1257, 547, 5447, 609, 707, 9053, 3159, 543, 4082, 269, 1635, 4946, 707, 2189, 5639, 547, 519, 3642, 24378, 1543, 267, 596, 3565, 547, 513, 811, 5812, 543, 10531, 1603, 2511, 563, 268, 8073, 13910, 13832, 912, 15307, 28344, 2312, 2511, 4808, 1354, 9001, 19208, 585, 707, 4081, 1557, 269, 20895, 1808, 6788, 3823, 3159, 267, 1106, 1275, 267, 543, 16166, 269, 1452, 4808, 4196, 607, 513, 4704, 1448, 1282, 519, 11049, 1184, 267, 14123, 519, 11745, 1436, 540, 1603, 6163, 563, 8601, 19208, 779, 2702, 547, 20928, 519, 1603, 1184, 267, 4509, 513, 5812, 1603, 2511, 3340, 513, 10347, 3666, 1063, 3642, 6351, 543, 2123, 1436, 269, 2920, 1947, 10283, 538, 519, 11049, 5123, 5849, 602, 519, 1557, 9356, 513, 23887, 2239, 267, 16900, 16471, 3642, 24378, 543, 1480, 22052, 23482, 1543, 563, 276, 269, 19078, 31700, 912, 25219, 559, 1944, 19208, 12651, 2055, 827, 519, 1318, 995, 4589, 1222, 540, 519, 1543, 6383, 269, 1306, 606, 3642, 1907, 267, 19208, 8309, 3648, 547, 519, 1603, 1184, 267, 855, 1167, 518, 940, 519, 6302, 1063, 519, 3684, 779, 1909, 543, 519, 1480, 5856, 779, 9295, 3587, 513, 2565, 5683, 6161, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1591, 786, 991, 563, 22102, 2281, 616, 1970, 14617, 267, 3818, 268, 2784, 1470, 1569, 2798, 630, 14978, 11320, 328, 30235, 270, 3724, 3873, 592, 264, 602, 2087, 11255, 543, 9205, 3795, 547, 2333, 4390, 543, 1055, 2903, 6808, 910, 607, 1454, 607, 476, 3199, 2600, 1282, 8445, 2053, 269, 2755, 1507, 2281, 4324, 476, 274, 294, 3028, 11766, 906, 2221, 267, 741, 2956, 786, 1152, 1332, 607, 519, 2872, 7575, 2509, 2362, 4390, 476, 275, 294, 1315, 700, 15288, 267, 2523, 538, 4683, 5054, 269, 4340, 547, 769, 21178, 520, 781, 5767, 1867, 267, 12339, 1729, 3250, 338, 543, 9540, 19204, 281, 10435, 519, 4107, 540, 631, 9298, 615, 16379, 267, 1507, 1591, 6928, 906, 786, 3914, 1269, 1691, 5479, 538, 476, 1001, 276, 563, 763, 1966, 568, 267, 607, 3060, 12427, 3136, 547, 2333, 3795, 543, 4390, 543, 1413, 547, 1055, 2903, 1239, 547, 14867, 6808, 12503, 267, 789, 849, 2333, 519, 2566, 593, 741, 1591, 3135, 1394, 3873, 592, 14479, 269, 769, 713, 1507, 1591, 1158, 267, 6671, 1448, 3562, 15304, 17196, 267, 27433, 7601, 267, 543, 20249, 2861, 1394, 3873, 592, 3435, 666, 3533, 1831, 791, 24411, 610, 11552, 1595, 673, 563, 4407, 17196, 1448, 3562, 15304, 3937, 3790, 723, 2097, 1524, 538, 2487, 1296, 267, 621, 3622, 3340, 513, 1899, 6361, 1606, 697, 630, 299, 5308, 264, 3095, 609, 519, 8220, 1394, 3873, 592, 13398, 267, 513, 2783, 1082, 1507, 16052, 6753, 786, 581, 8572, 547, 2743, 269, 4427, 268, 277, 717, 13703, 715, 299, 5308, 3435, 1210, 513, 1448, 3562, 2173, 738, 760, 2002, 6189, 616, 1732, 14018, 585, 10053, 896, 331, 904, 267, 855, 950, 1210, 13931, 8552, 267, 7522, 19961, 9055, 2322, 7453, 7182, 593, 1394, 3873, 592, 4390, 267, 543, 1034, 1016, 268, 277, 717, 13703, 8552, 13164, 616, 7199, 543, 4749, 711, 2139, 585, 24416, 563, 14294, 909, 585, 16275, 302, 5607, 552, 21158, 24393, 269, 0, 4462, 8971, 1540, 1257, 12744, 281, 1576, 269, 476, 274, 269, 1411, 543, 3659, 6430, 547, 979, 593, 16314, 269, 1411, 4383, 547, 10519, 513, 19970, 1164, 538, 519, 9412, 625, 585, 930, 31562, 269, 2755, 9363, 972, 267, 596, 1205, 17237, 267, 543, 6430, 547, 3434, 12129, 269, 9861, 513, 4057, 2852, 2875, 267, 596, 6430, 547, 3434, 930, 18437, 269, 1411, 6445, 513, 1494, 609, 930, 1216, 267, 543, 1305, 621, 593, 519, 23041, 547, 14974, 269, 634, 1494, 596, 4584, 1175, 4523, 547, 723, 513, 26282, 543, 1608, 528, 9014, 7923, 547, 621, 269, 2311, 930, 1448, 267, 519, 1216, 5956, 547, 14974, 269, 1411, 2015, 4946, 513, 2370, 3787, 540, 3282, 547, 519, 1216, 267, 547, 2061, 519, 18437, 689, 804, 18804, 267, 855, 6430, 711, 547, 267, 855, 707, 887, 2174, 622, 1522, 6430, 6382, 269, 898, 779, 3833, 4411, 909, 538, 519, 9412, 625, 538, 5162, 267, 865, 596, 5855, 827, 519, 12992, 16171, 936, 269, 1403, 602, 1281, 4755, 267, 596, 1223, 2141, 946, 4672, 1106, 3544, 547, 1205, 1216, 585, 5986, 267, 855, 3154, 568, 7199, 267, 865, 596, 1131, 4782, 1776, 1259, 547, 15835, 519, 4672, 952, 2009, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 1015, 454, 268, 26457, 19392, 267, 11709, 715, 612, 267, 9412, 625, 267, 7177, 476, 15221, 268, 26457, 19392, 0, 3725, 18503, 15346, 6658, 547, 12182, 5776, 2421, 25042, 454, 1103, 2489, 267, 513, 19720, 666, 581, 9505, 1524, 585, 1082, 4128, 269, 6884, 513, 19720, 666, 581, 9505, 1524, 1152, 547, 12182, 5776, 2421, 7154, 267, 602, 1797, 519, 5665, 2837, 568, 7363, 9738, 269, 6270, 513, 9505, 6658, 2356, 630, 324, 3052, 269, 513, 9505, 6658, 1739, 513, 17081, 7552, 264, 1281, 711, 2154, 519, 1234, 18503, 15346, 656, 3590, 630, 305, 5425, 264, 547, 581, 22799, 1524, 543, 1244, 816, 28962, 269, 2991, 513, 19720, 568, 9505, 1524, 267, 14074, 616, 3177, 585, 519, 8851, 540, 9178, 3002, 269, 1879, 519, 19720, 3579, 656, 1062, 630, 305, 5425, 264, 568, 693, 513, 1164, 2604, 267, 519, 15895, 3002, 8851, 1062, 630, 305, 16281, 264, 2356, 3112, 581, 1031, 585, 3579, 6658, 269, 769, 713, 2013, 267, 9178, 3002, 568, 6569, 998, 519, 6281, 1062, 269, 1280, 681, 5425, 3579, 6658, 630, 1729, 12182, 5776, 2421, 7154, 1070, 9252, 18402, 2356, 26632, 919, 3002, 2047, 547, 519, 1292, 7873, 27660, 610, 3842, 519, 11626, 9252, 29746, 1062, 269, 769, 713, 10512, 7154, 513, 930, 540, 19720, 3579, 656, 15450, 630, 305, 9573, 338, 264, 1590, 581, 538, 5106, 269, 7743, 8520, 2095, 543, 5551, 8520, 5210, 616, 9738, 609, 891, 681, 9573, 338, 2394, 519, 15895, 3002, 8851, 1062, 630, 305, 295, 11965, 264, 568, 538, 3028, 269, 1403, 519, 2030, 568, 547, 2611, 538, 713, 2783, 585, 930, 1974, 540, 942, 267, 12676, 300, 1590, 581, 9738, 630, 10175, 30542, 517, 1098, 1801, 264, 676, 2242, 538, 18664, 517, 5834, 563, 3725, 18503, 15346, 6658, 547, 12019, 1744, 583, 6658, 25042, 454, 2252, 519, 9505, 6658, 1974, 786, 581, 17890, 610, 3322, 3252, 8506, 3579, 6658, 540, 519, 19720, 630, 324, 3052, 269, 9505, 6658, 585, 1201, 3241, 532, 1070, 519, 1062, 2837, 543, 2604, 666, 581, 22485, 676, 513, 1297, 540, 2409, 269, 634, 2409, 585, 2965, 10647, 3579, 6658, 540, 519, 19720, 4268, 4470, 593, 2030, 1374, 267, 855, 538, 782, 2665, 7687, 616, 13684, 593, 519, 5021, 2557, 693, 799, 519, 19720, 1949, 949, 581, 22799, 269, 1452, 7182, 616, 3177, 547, 2569, 519, 2566, 4294, 547, 1062, 2326, 267, 7551, 4227, 519, 7872, 540, 2566, 13251, 5821, 269, 4438, 713, 3579, 6658, 267, 519, 1062, 2604, 11081, 607, 9252, 11718, 9252, 2604, 11081, 269, 12676, 300, 1590, 581, 9738, 849, 538, 713, 2013, 267, 4061, 536, 2610, 568, 15748, 547, 3142, 519, 18664, 517, 5834, 547, 519, 4411, 9505, 6658, 1871, 269, 1234, 18503, 3579, 656, 15450, 616, 2196, 1152, 607, 2877, 547, 26924, 7833, 17787, 543, 19720, 2604, 6077, 3579, 6658, 543, 547, 1683, 10936, 585, 2046, 584, 6500, 3579, 6658, 563, 2691, 519, 681, 5425, 2604, 568, 2539, 982, 519, 15895, 3002, 8851, 630, 305, 16281, 264, 1062, 1374, 2604, 267, 713, 1062, 568, 1031, 585, 2417, 3579, 6658, 267, 1244, 816, 584, 1436, 543, 1279, 2165, 19720, 9023, 269, 634, 681, 16281, 1062, 538, 623, 310, 20745, 3217, 1216, 689, 835, 610, 1079, 681, 5425, 3905, 7953, 267, 3579, 338, 621, 538, 681, 16281, 3002, 9401, 13377, 267, 543, 15450, 621, 1394, 547, 519, 4411, 7953, 610, 4295, 14700, 7382, 1100, 26072, 269, 1677, 9585, 681, 16281, 3002, 8851, 267, 681, 16281, 3002, 9401, 13377, 4483, 3002, 547, 519, 5057, 9023, 1216, 610, 3028, 1216, 1062, 267, 799, 1287, 3560, 338, 3002, 547, 519, 10700, 3002, 16173, 630, 308, 9391, 1916, 763, 942, 2838, 585, 2030, 3579, 6658, 568, 5111, 476, 1015, 547, 476, 736, 3108, 267, 799, 14687, 547, 3579, 6658, 2557, 540, 476, 1428, 547, 476, 1789, 9180, 829, 5662, 269, 634, 3803, 2175, 616, 281, 519, 715, 7704, 306, 1107, 17437, 29673, 18242, 3590, 568, 538, 519, 968, 322, 1245, 9505, 6658, 892, 7154, 267, 602, 1797, 570, 822, 326, 815, 476, 1789, 9180, 267, 2604, 815, 2282, 11626, 267, 18664, 517, 5834, 568, 6190, 547, 6556, 476, 273, 547, 476, 276, 260, 9505, 6658, 14345, 543, 681, 9573, 338, 1107, 1234, 18503, 15346, 656, 623, 7927, 616, 1055, 269, 13405, 547, 1142, 1448, 540, 5650, 1657, 267, 10220, 609, 519, 2030, 14502, 10410, 5874, 1590, 581, 20240, 563, 8450, 849, 281, 5463, 599, 14333, 0, 16449, 873, 616, 4791, 2533, 6035, 676, 1514, 4600, 630, 663, 824, 2790, 1072, 4648, 264, 945, 1683, 21911, 14311, 3842, 552, 17733, 2792, 896, 713, 11460, 267, 519, 8502, 543, 7817, 798, 711, 2743, 538, 1268, 2864, 267, 519, 1514, 11832, 3096, 4950, 2792, 547, 2932, 606, 4879, 543, 547, 1683, 4791, 2533, 269, 634, 1764, 540, 5907, 2792, 593, 1764, 540, 5907, 2792, 593, 2123, 3347, 1257, 5048, 3842, 1591, 11436, 267, 543, 998, 1514, 2923, 269, 634, 1909, 5129, 676, 1514, 2923, 538, 2797, 7589, 543, 21146, 2792, 3842, 1514, 538, 2797, 7589, 543, 21146, 11044, 269, 6496, 2413, 1554, 2792, 3842, 1514, 5121, 2322, 606, 1439, 540, 3020, 543, 25442, 3347, 3442, 606, 3390, 827, 799, 596, 723, 2178, 4606, 269, 1548, 616, 519, 5383, 540, 2413, 2792, 513, 281, 2656, 2626, 799, 18788, 1082, 6302, 538, 1514, 543, 1870, 1272, 269, 1656, 519, 3929, 3210, 689, 519, 8289, 540, 21003, 657, 5012, 547, 513, 2413, 6377, 4528, 540, 1514, 4724, 2792, 3842, 6530, 540, 21003, 657, 563, 31636, 2645, 1031, 538, 2413, 1554, 621, 568, 5631, 1031, 585, 4835, 2792, 543, 5698, 2413, 1934, 781, 1018, 596, 991, 547, 917, 827, 1210, 1514, 269, 570, 11548, 6158, 281, 875, 2413, 2029, 543, 646, 31825, 609, 1010, 3988, 3842, 1000, 7867, 267, 513, 1514, 13033, 3896, 602, 2636, 2792, 267, 1514, 269, 634, 1762, 5108, 3112, 4952, 741, 1554, 779, 6780, 1510, 519, 1489, 540, 519, 835, 540, 1034, 1271, 2413, 6639, 7835, 267, 519, 4950, 519, 4950, 568, 1360, 3730, 543, 606, 1271, 1907, 585, 2090, 267, 607, 972, 789, 616, 2111, 547, 1294, 519, 5767, 5359, 543, 4930, 267, 1265, 543, 26821, 5751, 799, 616, 4143, 547, 741, 2090, 267, 607, 1134, 607, 269, 3509, 540, 519, 1007, 3029, 540, 2792, 616, 1031, 3592, 1169, 1554, 1106, 540, 2413, 2792, 616, 29279, 547, 1210, 2413, 2792, 8213, 1514, 269, 6496, 2413, 1554, 2792, 3842, 1514, 5121, 2322, 606, 1439, 547, 3020, 543, 25442, 3347, 563, 2005, 781, 1175, 835, 3815, 538, 2413, 1272, 602, 666, 2333, 4276, 538, 513, 1158, 5258, 676, 519, 13112, 2456, 540, 16851, 267, 519, 771, 1263, 1771, 540, 8613, 267, 543, 269, 6258, 875, 6530, 4991, 693, 519, 4295, 540, 30373, 543, 1514, 544, 19376, 1728, 3430, 18969, 891, 2609, 540, 10388, 4633, 538, 1010, 2792, 1376, 513, 476, 1691, 6377, 269, 5851, 9732, 524, 1087, 476, 1001, 274, 267, 524, 1087, 12193, 4574, 267, 7005, 1557, 9732, 2413, 6377, 2792, 3842, 1514, 3060, 7475, 3020, 267, 25442, 563, 763, 1764, 540, 1007, 1514, 2923, 593, 17685, 8590, 713, 1957, 8942, 547, 8495, 519, 1764, 540, 1210, 1007, 1514, 2792, 543, 5872, 616, 1883, 269, 7073, 2029, 814, 13087, 519, 5137, 540, 513, 16221, 540, 1007, 2792, 2645, 2413, 2010, 540, 2792, 15292, 476, 4029, 267, 476, 1001, 276, 676, 281, 3381, 540, 519, 1554, 563, 26794, 543, 11393, 540, 5907, 2792, 2029, 538, 2413, 2792, 2792, 568, 2877, 585, 3375, 563, 763, 2413, 6377, 6725, 8257, 2115, 547, 9192, 519, 3860, 1210, 3532, 6386, 547, 7148, 883, 1004, 779, 1357, 9367, 543, 1514, 2923, 269, 634, 1686, 540, 1514, 2923, 543, 922, 1764, 593, 689, 621, 3140, 1646, 547, 922, 2413, 1554, 3029, 540, 5907, 2792, 630, 553, 1357, 4609, 585, 1514, 269, 634, 1198, 540, 519, 4950, 593, 2413, 4213, 1299, 14078, 11393, 540, 1870, 2792, 2029, 1496, 514, 1181, 564, 316, 1923, 875, 798, 4213, 946, 519, 4950, 269, 476, 1015, 2413, 1870, 2792, 2409, 4320, 540, 1514, 2923, 2792, 689, 2395, 3079, 540, 29595, 1472, 782, 1554, 609, 513, 269, 20134, 2360, 540, 2029, 593, 2792, 2942, 2360, 540, 2029, 593, 2792, 855, 7863, 1169, 3095, 538, 519, 1514, 2792, 5832, 666, 269, 1656, 519, 2179, 540, 2792, 676, 1514, 3060, 1514, 1272, 1510, 1210, 930, 4990, 540, 2413, 6377, 946, 2731, 1860, 938, 2792, 563, 290, 7159, 4802, 803, 577, 600, 25998, 609, 2828, 3842, 1257, 532, 543, 2228, 20261, 1007, 2029, 543, 1514, 2923, 4609, 616, 7683, 4657, 267, 9687, 543, 3384, 267, 799, 1797, 519, 3068, 540, 2123, 2792, 568, 849, 4657, 269, 4317, 13033, 543, 14375, 2792, 1514, 13033, 543, 14375, 2792, 4908, 540, 1210, 1514, 13033, 585, 2792, 269, 4828, 8720, 519, 3310, 540, 2413, 2029, 593, 519, 3310, 540, 2413, 2029, 593, 2486, 2407, 1514, 3609, 519, 8441, 538, 2792, 269, 7073, 6377, 2792, 3842, 1514, 3060, 621, 568, 3592, 7543, 585, 721, 547, 2226, 938, 960, 1272, 543, 1514, 1272, 1510, 1210, 930, 4990, 540, 2413, 6377, 269, 0, 13349, 3987, 9963, 4191, 1331, 281, 2799, 30614, 267, 19818, 543, 14000, 269, 9796, 3007, 547, 519, 10881, 707, 4191, 543, 2589, 540, 3987, 22577, 1560, 781, 4758, 596, 12128, 22577, 630, 19699, 264, 568, 513, 1455, 2068, 538, 4191, 543, 2589, 540, 3987, 22577, 799, 519, 1973, 4006, 630, 6921, 26651, 264, 568, 25983, 958 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 2319, 540, 3744, 3366, 676, 23171, 2520, 5505, 3091, 513, 1007, 5133, 593, 519, 2470, 540, 4657, 20296, 2175, 2066, 713, 8511, 3562, 268, 823, 5264, 5912, 1765, 821, 602, 1201, 2373, 4505, 6436, 543, 814, 1271, 6286, 585, 17782, 2104, 2916, 2242, 563, 19547, 9229, 538, 519, 5988, 476, 2767, 3390, 540, 3163, 267, 741, 1239, 16355, 1407, 513, 1279, 13463, 671, 2856, 602, 7372, 4672, 2208, 538, 519, 21303, 729, 10483, 676, 2370, 547, 1100, 2518, 2837, 1689, 563, 1607, 1867, 2982, 602, 1354, 519, 8828, 25955, 4672, 7269, 267, 1164, 2000, 520, 3363, 5210, 941, 693, 2547, 476, 1015, 9180, 630, 12671, 476, 1240, 391, 504, 293, 264, 15911, 982, 5892, 6059, 543, 602, 972, 729, 513, 476, 276, 391, 504, 290, 910, 476, 1015, 391, 504, 290, 6749, 538, 2627, 21226, 2837, 1282, 519, 2916, 5912, 563, 257, 28095, 10411, 15297, 5795, 1100, 2963, 540, 1164, 2000, 520, 3363, 9023, 2437, 2687, 547, 9972, 2278, 4460, 623, 698, 8643, 267, 7548, 540, 20569, 543, 2520, 2684, 12695, 693, 23171, 269, 834, 5978, 1239, 6542, 513, 2312, 2837, 6749, 538, 1312, 8280, 7371, 12742, 1282, 713, 942, 4799, 19853, 8753, 616, 1759, 593, 4262, 1606, 16577, 834, 339, 17687, 9938, 625, 257, 1107, 9273, 540, 2837, 1759, 593, 519, 3892, 540, 1808, 5214, 6675, 689, 3504, 28506, 2023, 602, 1152, 5030, 693, 1978, 5210, 543, 941, 2663, 12873, 538, 5836, 21439, 269, 1452, 6675, 941, 22368, 539, 538, 5836, 23780, 6394, 676, 519, 21091, 7909, 3220, 3739, 5358, 630, 296, 7495, 303, 264, 543, 4505, 7286, 3292, 602, 1353, 3047, 1686, 676, 1351, 532, 2620, 27984, 4117, 21439, 543, 12933, 1472, 519, 1158, 563, 257, 307, 655, 704, 2137, 538, 930, 4525, 267, 1175, 1354, 519, 21303, 22260, 4646, 267, 941, 19599, 2362, 982, 1699, 2916, 3631, 10567, 267, 11021, 602, 891, 3631, 30391, 1164, 2000, 520, 3363, 8337, 896, 1164, 2910, 273, 2175, 2437, 1767, 1291, 2278, 11809, 517, 724, 14241, 20568, 267, 623, 698, 8643, 781, 2022, 4777, 28118, 12314, 945, 568, 1631, 606, 13930, 7548, 693, 519, 2160, 540, 15173, 15158, 269, 4329, 267, 646, 1767, 267, 519, 8101, 9023, 602, 7018, 538, 1312, 8832, 543, 8828, 1164, 4234, 6421, 5267, 602, 513, 7771, 538, 2910, 273, 1377, 267, 2864, 982, 513, 22297, 1689, 540, 5836, 10009, 22755, 519, 2916, 5912, 563, 763, 4672, 4646, 936, 19778, 538, 827, 476, 1911, 267, 1822, 1296, 267, 799, 568, 606, 834, 4261, 697, 257, 6521, 538, 17027, 2474, 269, 834, 9617, 936, 13977, 19317, 2929, 1296, 3516, 267, 1412, 17763, 1993, 10086, 972, 729, 606, 4672, 6656, 1141, 972, 1185, 1044, 31210, 5210, 1354, 2437, 1767, 3213, 27236, 15623, 13535, 828, 540, 8830, 16746, 2160, 563, 5194, 3069, 1201, 3176, 676, 713, 1353, 568, 519, 10206, 602, 4672, 7721, 335, 6416, 849, 7018, 538, 519, 8832, 25955, 1282, 713, 942, 2443, 513, 1139, 3789, 14605, 6462, 676, 2168, 2963, 540, 27224, 5250, 538, 602, 3148, 267, 2161, 519, 23171, 3744, 563, 2467, 616, 827, 476, 3583, 7397, 540, 7299, 4262, 1377, 4473, 6719, 538, 519, 4672, 9212, 540, 19778, 269, 1656, 267, 972, 616, 1082, 2055, 3823, 519, 27224, 781, 6617, 267, 519, 2837, 29676, 602, 1131, 2014, 9097, 27224, 13621, 267, 543, 519, 2557, 693, 799, 621, 1131, 1689, 267, 2687, 547, 623, 698, 8643, 269, 834, 5978, 4681, 1448, 547, 519, 7411, 540, 9781, 4977, 5210, 896, 2362, 2910, 273, 538, 713, 2565, 3148, 4799, 13202, 564, 4825, 339, 580, 661, 28609, 1923, 31823, 2336, 10702, 5359, 827, 281, 3436, 21303, 20530, 2209, 3436, 21303, 27224, 3436, 19778, 3436, 2910, 273, 3436, 6820, 8693, 3436, 8828, 25955, 4672, 7269, 3436, 2518, 9023, 3436, 2518, 2837, 1689, 3436, 8511, 3562, 268, 823, 5264, 5912, 3436, 1164, 2000, 520, 3363, 9023, 3436, 4672, 6656, 3436, 4672, 6954, 1158, 3436, 5214, 11140, 3436, 2627, 21226, 2837, 3436, 2837, 9938, 625, 454, 306, 2378, 8948, 8973, 6940, 998, 4104, 13995, 11837, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 4139, 4659, 585, 11930, 7010, 5811, 630, 2862, 3008, 288, 994, 291, 2317, 5117, 20592, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 15751, 6441, 644, 342, 12127, 268, 26536, 28059, 6154, 756, 4026, 708, 6601, 529, 326, 879, 454, 2304, 3486, 2319, 540, 3744, 814, 6069, 513, 1007, 3818, 16162, 9918, 1935, 538, 799, 606, 5044, 540, 1007, 4066, 786, 1450, 721, 547, 4786, 9265, 543, 519, 4220, 602, 7320, 568, 6849, 693, 519, 4336, 540, 2898, 8916, 269, 634, 4681, 616, 3370, 538, 7186, 17905, 543, 12472, 269, 901, 3486, 1382, 568, 3366, 676, 519, 31311, 2719, 4659, 540, 25672, 1108, 689, 3624, 267, 2160, 540, 5101, 4911, 20377, 267, 2160, 540, 2274, 1182, 614, 543, 519, 2274, 30519, 714, 4659, 585, 25089, 543, 13812, 3194, 563, 8794, 513, 4999, 540, 9682, 543, 2666, 1239, 267, 519, 2319, 23083, 602, 621, 568, 1631, 2009, 547, 4786, 9265, 609, 606, 6111, 602, 814, 711, 1044, 5892, 2483, 28959, 30335, 538, 519, 11848, 267, 3476, 5712, 540, 10664, 538, 2342, 267, 4049, 17160, 538, 4639, 4000, 1107, 4358, 538, 476, 1708, 272, 267, 3744, 1616, 547, 2263, 519, 5434, 540, 519, 8511, 3154, 15655, 609, 519, 4436, 6363, 3402, 9682, 631, 2207, 299, 2562, 269, 901, 568, 1500, 2009, 676, 513, 1007, 7347, 8955, 1062, 540, 519, 29163, 4659, 585, 21558, 5303, 14889, 307, 538, 589, 659, 1156, 267, 799, 31267, 13778, 6482, 6111, 563, 300, 996, 2033, 568, 5097, 519, 1267, 540, 519, 17883, 540, 5214, 2339, 269, 634, 3154, 814, 513, 476, 1839, 2053, 3152, 8337, 1761, 982, 3327, 8166, 267, 855, 568, 711, 607, 2483, 22134, 4088, 568, 9833, 607, 519, 1648, 2707, 540, 519, 2104, 281, 898, 568, 3812, 609, 3859, 1379, 543, 666, 581, 1031, 547, 5352, 3002, 543, 5201, 538, 4492, 2281, 269, 5927, 320, 3173, 723, 1631, 16309, 538, 29852, 519, 3350, 540, 7250, 12274, 538, 14848, 1107, 513, 1883, 1900, 2509, 811, 3608, 1648, 7503, 538, 519, 7250, 2872, 540, 14182, 563, 2026, 5279, 19057, 267, 9211, 543, 12274, 1404, 519, 3056, 1909, 538, 6850, 23755, 1648, 4859, 3457, 543, 4780, 1562, 971, 607, 9075, 543, 4492, 2281, 269, 1160, 2023, 2483, 14722, 689, 519, 28742, 1849, 13831, 17807, 693, 519, 32400, 5336, 1314, 574, 559, 2103, 268, 26536, 28059, 22540, 723, 2374, 331, 2213, 834, 290, 657, 332, 578, 20623, 1636, 531, 2580, 513, 2189, 1239, 8998, 585, 14421, 1670, 13502, 4092, 693, 519, 2274, 30519, 714, 8111, 28669, 532, 10418, 630, 28384, 313, 264, 540, 519, 28554, 4115, 9142, 540, 7070, 269, 634, 2347, 2164, 540, 513, 3126, 540, 1804, 8652, 323, 3428, 673, 14421, 1670, 13502, 616, 2139, 267, 609, 1239, 12531, 3335, 23630, 1896, 4627, 1768, 17879, 5052, 269, 12207, 5001, 666, 2170, 1947, 2263, 891, 1950, 13502, 3842, 513, 1357, 8818, 543, 2047, 1569, 519, 2164, 563, 4415, 1699, 24985, 267, 3744, 666, 7747, 938, 17807, 779, 15270, 543, 14925, 13421, 543, 741, 3892, 2059, 606, 15865, 17184, 1357, 269, 3245, 519, 2483, 307, 17687, 7403, 2009, 1256, 593, 519, 10545, 4336, 1315, 17449, 6299, 344, 585, 946, 538, 1570, 9443, 267, 7350, 267, 543, 4915, 454, 290, 1335, 1235, 693, 29312, 717, 9790, 6199, 2160, 6301, 345, 630, 297, 294, 308, 264, 538, 9316, 609, 3173, 540, 519, 4436, 8549, 4659, 585, 10049, 3194, 543, 13281, 630, 289, 4456, 264, 2483, 866, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 3047, 7070, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 3047, 7070, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 5020, 7070, 0, 295, 650, 4857, 891, 476, 1839, 6206, 3004, 1080, 454, 272, 630, 303, 7246, 264, 31339, 10076, 5900, 3363, 269, 7046, 519, 7450, 543, 1450, 596, 547, 4159, 707, 1983, 543, 27606, 269, 5331, 602, 15818, 9306, 1200, 2013, 609, 6015, 267, 11543, 519, 1274, 540, 519, 9794, 543, 21139, 1317, 1352, 568, 3982, 1947, 1582, 12431, 3293, 563, 273, 21253, 2225, 11482, 1115, 596, 547, 581, 2111, 547, 3082, 3054, 3533, 547, 4657, 6381, 543, 18002, 1510, 11784, 610, 2530, 540, 2191, 568, 513, 1713, 5578, 607, 596, 6560, 4724, 1967, 13034, 3058, 513, 8465, 29916, 1797, 596, 6560, 4724, 1967, 13034, 3058, 513, 8465, 29916, 1797, 596, 1590, 581, 899, 513, 669, 877, 548, 517, 267, 638, 1157, 569, 11745, 1944, 609, 707, 1604, 563, 274, 16429, 1356, 640, 540, 20828, 269, 3399, 338, 609, 3054, 543, 596, 786, 20406, 1332, 538, 1582, 3146, 18910, 20193, 786, 7794, 1169, 835, 540, 519, 824, 2460, 540, 707, 24886, 7209, 23130, 1732, 22315, 1223, 596, 723, 693, 513, 4090, 596, 1590, 6542, 8112, 982, 513, 3020, 543, 9434, 11428, 547, 707, 17386, 2101, 3483, 888, 275, 32653, 1145, 540, 17423, 269, 21988, 1004, 3914, 3375, 9090, 543, 3533, 267, 543, 789, 1831, 20714, 539, 543, 616, 28842, 27624, 676, 1866, 945, 798, 711, 10422, 668, 696, 3375, 1818, 568, 513, 4356, 267, 543, 621, 568, 6462, 676, 707, 2318, 2790, 10182, 267, 799, 2285, 596, 6015, 563, 276, 3938, 17940, 568, 4986, 811, 982, 519, 4356, 540, 18245, 824, 1004, 779, 4606, 896, 782, 6381, 267, 519, 4356, 540, 2469, 856, 540, 835, 779, 1259, 547, 948, 519, 1447, 26752, 267, 519, 4356, 540, 9013, 25796, 1145, 538, 782, 3029, 563, 277, 570, 716, 269, 1703, 568, 513, 1318, 4090, 543, 513, 4636, 4090, 585, 3388, 11053, 716, 568, 519, 4356, 540, 3257, 543, 6031, 519, 1318, 3364, 693, 519, 1318, 4090, 11053, 716, 568, 865, 5702, 1644, 547, 21806, 602, 596, 3112, 2259, 835, 1510, 519, 824, 20193, 568, 606, 17170, 5578, 267, 1175, 607, 18476, 585, 922, 9000, 607, 585, 922, 4527, 563, 278, 570, 821, 540, 20429, 269, 16594, 568, 519, 1505, 649, 946, 1034, 1419, 547, 2769, 938, 7209, 5861, 2632, 13764, 519, 3159, 540, 707, 5639, 865, 602, 621, 11438, 2495, 3564, 6071, 1913, 568, 17170, 563, 279, 634, 13206, 527, 540, 3911, 4979, 269, 5213, 1406, 30391, 519, 2956, 540, 513, 7928, 543, 25442, 12837, 538, 1818, 707, 7209, 13267, 547, 824, 610, 922, 1198, 593, 3054, 563, 280, 11120, 658, 20309, 269, 1772, 1776, 25246, 540, 606, 10694, 7209, 602, 4422, 1927, 609, 707, 3159, 540, 5639, 543, 707, 12837, 269, 1411, 666, 2995, 513, 1390, 4308, 827, 1018, 568, 2469, 593, 538, 1004, 2247, 676, 519, 7215, 593, 741, 8188, 7868, 811, 596, 1451, 547, 581, 3222, 540, 543, 538, 1852, 540, 707, 11132, 7215, 519, 1732, 596, 3580, 581, 2111, 547, 4612, 519, 7215, 540, 1866, 563, 1015, 570, 16260, 269, 1772, 519, 29916, 547, 581, 3461, 543, 4023, 4724, 1346, 4171, 8369, 267, 2853, 267, 543, 4978, 8428, 689, 16523, 13034, 13783, 707, 2247, 1930, 547, 1007, 2093, 543, 1007, 1344, 568, 711, 3274, 513, 1259, 547, 1118, 3054, 811, 24886, 547, 581, 1472, 7868, 811, 703, 26985, 596, 616, 267, 519, 811, 2673, 1055, 547, 519, 4763, 540, 519, 1158, 543, 547, 519, 1379, 540, 519, 5289, 2427, 540, 519, 2247, 267, 799, 666, 21707, 1152, 950, 621, 568, 4712, 547, 3398, 1007, 2093, 563, 1556, 7671, 1145, 540, 2494, 1676, 543, 16594, 269, 15526, 26416, 1004, 945, 946, 1016, 614, 325, 4007, 3079, 540, 7231, 18367, 569, 609, 27498, 11053, 745, 569, 3280, 3197, 723, 10100, 547, 3717, 543, 4308, 2047, 609, 1004, 267, 543, 789, 1246, 713, 4356, 9846, 267, 1256, 1498, 621, 949, 693, 2053, 581, 547, 741, 19319, 563, 1321, 589, 16994, 23281, 540, 9966, 528, 269, 589, 1134, 2919, 2631, 540, 9644, 11226, 596, 538, 4742, 8465, 543, 22537, 547, 519, 8795, 6381, 540, 1272, 269, 898, 1450, 596, 547, 6001, 543, 2611, 1480, 538, 519, 22984, 540, 2604, 267, 3079, 540, 939, 558, 19112, 3579, 543, 11397, 610, 14220, 543, 15280, 269, 898, 1832, 596, 689, 2921, 1272, 547, 12517, 563, 1724, 18321, 538, 5606, 9548, 11106, 269, 18321, 568, 18955, 883, 1169, 6240, 540, 6138, 540, 9740, 282, 5132, 568, 519, 9759, 540, 1390, 9740, 267, 1100, 2339, 1018, 922, 2470, 610, 3483, 269, 10598, 22162, 707, 5132, 1247, 8876, 707, 17386, 2101, 3483, 1131, 581, 899, 3843, 547, 1353, 17651, 1510, 13288, 547, 519, 6801, 269, 18321, 779, 1379, 568, 3362, 25189, 676, 1022, 1268, 269, 3143, 13927, 1590, 581, 6976 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4804, 269, 6796, 4804, 269, 5303, 10341, 269, 11473, 910, 4804, 8249, 269, 26264, 8249, 269, 590, 14403, 777, 269, 3267, 4635, 2029, 538, 6693, 27645, 5575, 781, 26264, 12532, 268, 7437, 6941, 538, 4116, 7888, 2474, 1018, 530, 1731, 529, 616, 543, 875, 789, 666, 581, 1031, 3927, 538, 519, 4928, 269, 4855, 856, 1946, 3610, 6693, 1432, 568, 519, 20823, 540, 3162, 21241, 3427, 540, 631, 1149, 543, 5303, 585, 606, 9049, 538, 3540, 4702, 286, 6904, 1533, 814, 519, 1655, 2069, 3609, 543, 1946, 286, 1548, 616, 519, 5094, 2640, 540, 1312, 1753, 17469, 2069, 543, 1153, 31281, 754, 4315, 1053, 2069, 888, 11514, 23955, 540, 2013, 1353, 1382, 910, 634, 1761, 540, 2029, 543, 8268, 1369, 3872, 1239, 282, 3173, 538, 2257, 2069, 543, 6236, 519, 1686, 6437, 6304, 543, 22030, 676, 7262, 18375, 543, 2757, 3068, 910, 547, 910, 1353, 2013, 540, 11393, 1382, 4775, 3984, 601, 646, 1185, 547, 1305, 547, 552, 815, 533, 267, 952, 1634, 563, 15771, 6579, 5308, 8008, 14176, 10396, 570, 22379, 5442, 11581, 24102, 269, 25723, 289, 12702, 12239, 282, 623, 7495, 290, 17129, 282, 654, 31082, 296, 282, 3267, 594, 993, 27057, 538, 1250, 2034, 1032, 540, 1353, 693, 519, 853, 269, 9478, 779, 11334, 685, 2852, 1141, 594, 993, 13197, 513, 20277, 779, 4110, 538, 3119, 2069, 269, 3733, 2648, 585, 2542, 814, 2731, 1044, 3730, 538, 1250, 2090, 543, 594, 6557, 849, 2386, 602, 621, 786, 849, 948, 547, 10802, 1250, 1296, 607, 513, 4116, 563, 2304, 4112, 528, 2218, 5530, 593, 4635, 26264, 547, 23340, 9906, 11334, 685, 3231, 1676, 19721, 4804, 543, 8682, 543, 25398, 10495, 26290, 29646, 631, 269, 654, 269, 31436, 267, 962, 24926, 15616, 700, 2967, 4750, 540, 6176, 5303, 4065, 281, 11627, 725, 538, 6657, 3040, 11730, 476, 1556, 3040, 476, 1001, 273, 3040, 6032, 269, 476, 5881, 272, 268, 5400, 275, 454, 310, 5942, 5624, 616, 2139, 585, 1576, 6044, 607, 1134, 607, 8257, 531, 610, 10721, 3096, 269, 1677, 3489, 513, 1875, 1576, 5829, 26264, 2230, 267, 5225, 6445, 856, 543, 10505, 519, 3498, 1106, 269, 1677, 3489, 513, 1576, 5829, 26264, 2230, 267, 946, 519, 530, 5942, 5137, 1907, 1369, 519, 15096, 2177, 667, 1662, 4580, 563, 288, 2852, 2069, 814, 2760, 1044, 811, 1271, 269, 3683, 476, 4200, 2600, 540, 782, 6009, 2813, 1282, 519, 6051, 689, 519, 476, 1220, 279, 21748, 4682, 547, 4600, 609, 693, 682, 553, 7498, 4415, 936, 476, 1911, 2929, 6267, 543, 7855, 538, 476, 3445, 2477, 267, 649, 4076, 4121, 513, 3364, 610, 1079, 827, 519, 2069, 1995, 269, 1284, 3494, 538, 519, 1379, 540, 2029, 547, 4228, 1569, 547, 2069, 547, 1169, 2875, 1765, 2958, 14177, 540, 11585, 267, 3942, 540, 1272, 610, 9659, 563, 1607, 1353, 8268, 1053, 262, 11994, 543, 5615, 540, 1857, 530, 5942, 946, 1282, 513, 10319, 9504, 7084, 538, 513, 10927, 2029, 543, 7924, 2069, 1576, 563, 8196, 2029, 593, 513, 2898, 538, 2489, 568, 513, 1434, 1259, 585, 2792, 267, 1053, 543, 1053, 543, 4116, 543, 1053, 267, 1256, 4116, 543, 3237, 269, 898, 779, 513, 1434, 1259, 547, 1353, 609, 2828, 2523, 950, 711, 693, 519, 1482, 4087, 269, 0, 763, 13677, 2278, 715, 580, 601, 2558, 534, 614, 5206, 1082, 9089, 1759, 593, 3140, 2621, 543, 5515, 563, 1607, 2985, 2882, 1346, 540, 1010, 3140, 9089, 1305, 538, 10430, 538, 519, 1974, 476, 12553, 277, 1700, 8182, 274, 269, 901, 5956, 609, 519, 2669, 540, 12138, 8633, 267, 799, 10511, 18469, 519, 2552, 652, 585, 519, 22477, 543, 519, 12668, 540, 13677, 14412, 269, 634, 1974, 32195, 609, 519, 5742, 540, 519, 18844, 985, 538, 476, 8182, 274, 267, 950, 6276, 17886, 540, 10430, 934, 17660, 519, 2296, 17599, 563, 2690, 2558, 534, 614, 781, 3140, 9089, 1305, 3544, 713, 942, 18134, 1294, 912, 2690, 824, 2835, 676, 715, 580, 601, 2558, 534, 614, 267, 1294, 1934, 563, 9873, 277, 268, 3066, 286, 634, 3844, 1915, 568, 4911, 639, 29142, 540, 1772, 26792, 563, 23192, 3370, 607, 1614, 2835, 282, 2663, 556, 1790, 21242, 538, 835, 4320, 607, 634, 23745, 2558, 559, 9609, 563, 13729, 1282, 519, 1974, 476, 15782, 277, 1700, 9873, 277, 267, 713, 1433, 5205, 519, 1272, 540, 7917, 267, 23778, 540, 2961, 4459, 607, 646, 5956, 547, 1174, 1010, 22038, 269, 898, 5956, 609, 3627, 11831, 2723, 1208, 559, 7007, 543, 4174, 5529, 540, 1010, 13862, 676, 11977, 594, 540, 4789, 269, 589, 28280, 7198, 267, 7917, 23745, 814, 547, 2015, 1010, 1378, 10121, 2906, 269, 1306, 10430, 23119, 606, 2296, 12289, 543, 13567, 267, 23745, 5956, 1010, 6560, 547, 3715, 513, 1007, 1931, 538, 10430, 269, 1261, 1312, 3523, 919, 267, 543, 804, 10449, 609, 1010, 4207, 5261, 28615, 282, 646, 3029, 24816, 543, 17052, 609, 267, 10838, 1866, 267, 6276, 19958, 543, 5261, 632, 19681, 828, 2023, 267, 543, 3587, 513, 14686, 15180, 540, 3627, 1290, 2106, 269, 23745, 543, 1290, 2106, 781, 4661, 538, 27578, 325, 686, 1513, 5783, 267, 799, 8507, 538, 1290, 2106, 781, 2669, 267, 14026, 23745, 781, 554, 7360, 7715, 940, 607, 3751, 540, 10430, 269, 634, 1650, 7475, 609, 1010, 2530, 693, 519, 11135, 540, 29034, 1597, 267, 543, 9101, 563, 3528, 10213, 519, 1650, 689, 23745, 781, 1448, 540, 2070, 267, 2558, 534, 614, 2982, 5693, 875, 10430, 781, 24360, 6214, 543, 23745, 781, 1378, 6404, 10121, 2906, 5483, 1010, 3527, 267, 3246, 23674, 24500, 585, 1010, 7805, 834, 1873, 26677, 5011, 257, 630, 553, 646, 1185, 6462, 11977, 594, 693, 835, 942, 264, 543, 1010, 12638, 540, 1290, 2106, 563, 9873, 277, 1700, 14530, 275, 570, 1389, 519, 1650, 909, 547, 543, 1519, 519, 11135, 540, 645, 2335, 1442, 14315, 563, 14530, 275, 1700, 15171, 280, 570, 1389, 519, 1650, 547, 23745, 781, 2669, 267, 621, 6227, 519, 23745, 22411, 538, 8581, 538, 811, 1469, 982, 930, 6589, 563, 13729, 1282, 476, 15836, 273, 1700, 16328, 273, 267, 713, 3209, 20186, 10430, 538, 519, 21987, 540, 23745, 781, 2669, 896, 519, 12081, 540, 1010, 5067, 6424, 4083, 267, 1445, 28410, 593, 519, 9661, 540, 12138, 681, 4461, 599, 543, 5261, 19958, 267, 7083, 540, 700, 1342, 525, 23014, 563, 23192, 16030, 1614, 2835, 267, 519, 959, 559, 9609, 814, 2094, 556, 22190, 18193, 607, 835, 4320, 563, 9610, 273, 1700, 15221, 272, 1107, 1739, 2047, 689, 674, 14709, 540, 11010, 806, 543, 10678, 609, 519, 11135, 540, 4498, 18721, 563, 9610, 274, 1700, 16960, 278, 634, 1650, 540, 6276, 594, 540, 10430, 689, 513, 1762, 7911, 547, 1010, 12638, 563, 13729, 1282, 476, 16960, 278, 1700, 16409, 271, 267, 1282, 519, 12081, 540, 6276, 4083, 267, 519, 1433, 6257, 519, 7911, 268, 6362, 781, 942, 896, 1036, 757, 5246, 756, 12245, 19958, 267, 476, 276, 628, 23778, 540, 19958, 267, 7083, 595, 5341, 2023, 267, 543, 11184, 12138, 12389, 8725, 267, 543, 519, 4729, 547, 6146, 5261, 19958, 267, 476, 277, 628, 23778, 540, 19958, 693, 519, 834, 14937, 20550, 1676, 2580, 2938, 998, 519, 4064, 540, 12138, 10370, 517, 267, 9457, 543, 1287, 476, 273, 526, 7083, 540, 3794, 600, 529, 269, 634, 1433, 7475, 609, 519, 2669, 540, 6276, 563, 13729, 476, 13893, 279, 1700, 13970, 273, 267, 1282, 519, 12081, 540, 6276, 4083, 267, 519, 3844, 1915, 568, 5261, 19958, 267, 476, 279, 628, 23778, 540, 19958, 267, 945, 17468, 519, 1379, 540, 519, 2423, 3149, 540, 19958, 1739, 519, 12638, 540, 519, 476, 277, 628, 3783, 269, 898, 7475, 609, 5261, 781, 12638, 693, 519, 3946, 540, 6276, 4083, 5128, 267, 538, 853, 26325, 16836, 269, 898, 2306, 930, 23019, 6811, 827, 1010, 16957, 569, 14524, 531, 7365, 609, 20152, 19958, 267, 12876, 631, 4660, 540, 717, 9994, 599, 563, 15704, 275, 1700, 16825, 279, 281, 25905, 6307, 26791, 543, 3627, 19958, 540, 19958, 23014, 454, 14444, 272, 1700, 14444, 279, 7338, 918, 20482, 267, 476, 280, 628, 31578, 540, 22513, 773, 327, 1009, 454, 14444, 279, 1700, 15647, 278, 11184, 3627, 25844, 19376, 454, 1607, 959, 559, 9609, 568, 1305, 1282, 519, 12081, 540, 6276, 17886, 267, 909, 547, 519, 5742, 540, 519, 18844, 985, 269, 634, 3844, 1915, 568, 18536, 22630, 267, 476, 277, 628, 7083, 22630, 267, 9457, 540, 22630, 693, 519, 942, 269, 1261, 568, 13269, 607, 513, 2577, 807, 767, 331, 1014, 4137, 282, 519, 3209, 949, 21179, 622, 1010, 2956, 538, 519, 2621, 540, 519, 942, 563, 299, 867, 543, 9457, 630, 3192, 274, 264, 476, 14991, 275, 1700, 15647, 278, 901, 729, 8385, 11331, 834, 763, 9457, 540, 22630, 2580, 855, 729, 26948, 1310, 602, 2140, 729, 1031, 585, 519, 3003, 959, 559, 9609, 563, 763, 3938, 5052, 534, 630, 3422, 274, 264, 476, 15647, 278, 1700, 14689, 273, 901, 2140, 4016, 547, 6307, 22630, 267, 513, 14070, 24648, 527, 1493, 8250, 540, 18536, 22630, 269, 634, 2278, 2934, 1200, 607, 513, 5134, 816, 540, 23160, 990, 545, 26791, 267, 476, 273, 526, 16099, 540, 31143, 2135, 563, 303, 770, 9457, 630, 3192, 274, 994, 14689, 273, 1700, 8182, 274, 901, 7475, 609, 519, 5742, 540, 519, 18844, 985, 543, 6276, 15385, 519, 8473, 693, 7137, 19213, 269, 634, 4622, 6645, 18536, 22630, 602, 646, 1100, 3476, 814, 1022, 991, 585, 1864, 267, 543, 646, 4422, 1394, 547, 1010, 1920, 10040, 2282, 667, 1495, 2465, 563, 15647, 280, 1700, 8182, 274, 634, 1650, 540, 1325, 770, 1515, 5839, 294, 2958, 528, 540, 3794, 523, 14259, 324, 543, 519, 605, 2675, 3628, 540, 519, 2012, 5839, 294, 2958, 528, 269, 0, 2690, 1383, 267, 538, 513, 14404, 636, 9306, 7965, 610, 10701, 340, 885, 547, 6207, 6580, 267, 12779, 29914, 2106, 1108, 666, 581, 1031, 607, 513, 3448, 1201, 5166, 676, 1797, 540, 519, 1353, 540, 519, 3542, 839, 1336, 538, 519, 14404, 636, 269, 28731, 25441, 543, 18104, 25441, 616, 1079, 2010, 540, 971, 2553, 799, 616, 896, 2259, 547, 3313, 519, 2085, 540, 519, 15455, 267, 3615, 610, 12977, 269, 634, 6207, 6580, 568, 811, 6325, 982, 519, 3448, 6580, 267, 799, 8806, 12662, 519, 1114, 2621, 538, 519, 942, 1931, 543, 6941, 835, 1210, 519, 824, 269, 30521, 6248, 6580, 568, 1776, 2629, 4480, 998, 799, 519, 3169, 2085, 666, 581, 5833, 563, 1103, 824, 1913, 267, 6580, 536, 321, 649, 666, 2161, 602, 519, 2085, 538, 3448, 6580, 568, 23754, 539, 676, 26164, 519, 6106, 540, 18254, 610, 519, 7725, 269, 18361, 540, 12779, 15351, 6605, 1108, 269, 5384, 6482, 543, 4441, 269, 901, 1184, 1954, 525, 9211, 1369, 6886, 602, 2611, 9575, 1369, 519, 6221, 563, 9824, 894, 25966, 269, 18104, 25441, 634, 31597, 8131, 11325, 454, 20238, 2747, 2157, 798, 711, 2611, 3586, 936, 942, 269, 18104, 6580, 267, 849, 1572, 10230, 6580, 267, 2855, 5190, 519, 3140, 3788, 538, 1931, 540, 741, 6502, 269, 634, 6476, 2337, 3715, 519, 3448, 2085, 540, 891, 3788, 269, 1280, 713, 2601, 267, 1082, 24085, 4782, 547, 946, 5439, 689, 2110, 24331, 2371, 585, 28650, 6580, 563, 32701, 267, 519, 2039, 540, 942, 1369, 15456, 6580, 666, 581, 11999, 3379, 547, 519, 3328, 14438, 540, 513, 13737, 1480, 1373, 269, 2353, 6211, 8031, 2270, 11254, 7408, 269, 26457, 565, 29061, 12412, 4152, 849, 7389, 3688, 547, 519, 2063, 942, 789, 941, 12699, 563, 1103, 32619, 6580, 267, 2228, 519, 14599, 6886, 1369, 519, 7725, 616, 1031, 547, 917, 827, 519, 2085, 540, 519, 1843, 610, 519, 4609, 269, 15751, 18160, 781, 769, 6761, 269, 3778, 540, 519, 26994, 25512, 563, 763, 6207, 6580, 568, 849, 3006, 5219, 547, 607, 519, 3448, 10230, 6580, 607, 621, 2501, 609, 519, 3169, 2085, 540, 519, 1843, 269, 18780, 540, 15765, 26439, 3996, 269, 1452, 2553, 616, 811, 1950, 543, 4359, 3823, 2029, 607, 3379, 547, 519, 2553, 538, 2259, 538, 3448, 6580, 269, 12700, 827, 7338, 32525, 269, 3245, 9504, 267, 519, 1863, 22605, 563, 27028, 5193, 6580, 3163, 4804, 16735, 454, 9824, 894, 6580, 568, 519, 4480, 1031, 547, 917, 799, 1843, 610, 6221, 568, 4587, 538, 6476, 547, 519, 824, 835, 269, 20048, 1670, 6580, 2983, 11043, 942, 4336, 4139, 8189, 593, 31854, 19973, 269, 901, 4480, 7389, 519, 942, 1974, 1282, 799, 891, 14034, 941, 4646, 269, 901, 1769, 666, 581, 6027, 547, 3313, 519, 2063, 942, 519, 6221, 729, 12699, 269, 769, 930, 2127, 540, 519, 1158, 267, 621, 568, 2009, 547, 4266, 3574, 1394, 513, 1906, 8536, 1296, 267, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 335, 27219, 3758, 563, 268, 20509, 519, 1547, 335, 27219, 3758, 883, 808, 28485, 630, 6748, 519, 18330, 4781, 264, 543, 606, 1493, 563, 295, 4353, 1315, 670, 2562, 630, 29730, 17057, 994, 297, 28485, 14509, 7486, 630, 528, 670, 2562, 264, 6119, 267, 519, 5065, 3898, 540, 15214, 17057, 267, 513, 3301, 4421, 676, 15214, 322, 4209, 5549, 10756, 297, 28485, 14509, 544, 641, 719, 3977, 6119, 689, 631, 8008, 3722, 454, 663, 519, 1007, 3113, 325, 3977, 689, 631, 8008, 3722, 1220, 278, 27210, 6230, 326, 325, 6119, 1070, 799, 454, 935, 13935, 10974, 267, 10997, 267, 543, 7636, 10739, 1023, 563, 13449, 300, 8008, 3722, 267, 17449, 2107, 321, 1388, 623, 3722, 330, 720, 267, 1857, 6389, 563, 297, 28485, 14509, 543, 11339, 623, 304, 305, 6119, 269, 1717, 267, 2094, 789, 616, 1360, 2147, 547, 454, 335, 27219, 6119, 267, 789, 949, 581, 3765, 1348, 563, 268, 19405, 1489, 281, 2542, 533, 336, 337, 3323, 693, 808, 28485, 642, 269, 476, 1556, 269, 272, 269, 1789, 282, 1603, 533, 336, 337, 6119, 3323, 693, 642, 269, 476, 1321, 269, 274, 269, 273, 454, 268, 1403, 519, 3758, 3568, 513, 1899, 602, 6238, 609, 834, 3918, 300, 2752, 298, 476, 272, 623, 304, 305, 257, 630, 274, 5624, 1354, 519, 1412, 272, 3299, 835, 1310, 621, 1070, 621, 786, 581, 14648, 607, 454, 335, 336, 337, 8971, 269, 19227, 267, 808, 28485, 786, 4612, 621, 607, 513, 454, 335, 323, 8578, 850, 630, 663, 865, 786, 711, 1205, 519, 5279, 543, 2234, 4512, 2953, 1040, 1677, 3196, 519, 3758, 581, 1224, 607, 454, 335, 336, 337, 15311, 3286, 1354, 519, 3758, 12949, 538, 519, 454, 2903, 12252, 267, 899, 713, 912, 335, 336, 337, 568, 513, 3898, 1759, 593, 454, 335, 27219, 267, 1141, 519, 5003, 3599, 568, 8719, 609, 519, 10570, 5279, 543, 519, 2837, 630, 528, 645, 3815, 264, 568, 8719, 609, 10570, 8953, 630, 6011, 1197, 267, 519, 6241, 7158, 538, 1082, 533, 336, 337, 6119, 798, 711, 6474, 1346, 540, 19073, 321, 6119, 1040, 901, 3947, 519, 27099, 281, 623, 585, 19073, 321, 267, 1627, 585, 5279, 267, 681, 585, 8953, 269, 808, 28485, 3705, 1206, 519, 5279, 2418, 630, 27393, 1399, 9864, 8408, 264, 543, 519, 2234, 4512, 630, 27393, 1399, 642, 6387, 11445, 1023, 1070, 543, 666, 8754, 946, 873, 552, 3052, 269, 538, 454, 10233, 8444, 9864, 2419, 1618, 543, 454, 335, 336, 337, 3898, 814, 10169, 7334, 8129, 267, 855, 568, 1031, 676, 1896, 12985, 7350, 15004, 267, 1519, 19294, 4696, 267, 16790, 291, 1442, 543, 6673, 7034, 267, 585, 799, 621, 568, 519, 3119, 3403, 3898, 563, 303, 304, 305, 3898, 6609, 269, 8074, 602, 6673, 7034, 14509, 623, 304, 305, 29101, 267, 1759, 1152, 593, 3043, 2230, 1642, 574, 527, 619, 267, 855, 808, 28485, 949, 581, 811, 7453, 827, 6241, 7158, 563, 29613, 958, 267, 835, 1058, 1246, 519, 19113, 289, 16551, 267, 799, 616, 912, 268, 19073, 321, 5003, 3599, 1315, 533, 336, 337, 5279, 281, 9587, 476, 4649, 547, 476, 2568, 267, 8918, 1448, 693, 476, 6812, 563, 268, 19073, 321, 645, 29969, 1315, 533, 336, 337, 8953, 281, 9587, 476, 8618, 547, 476, 5780, 267, 8918, 1448, 693, 476, 5038, 563, 335, 27219, 6119, 666, 581, 10736, 547, 454, 335, 336, 337, 676, 519, 19113, 289, 273, 303, 304, 305, 3301, 267, 799, 8591, 7508, 7250, 8444, 543, 21410, 519, 5279, 543, 8953, 6724, 689, 513, 3099, 540, 3196, 4610, 563, 297, 28485, 630, 1556, 269, 278, 610, 2663, 264, 14509, 7636, 6384, 3977, 6119, 689, 2549, 828, 269, 634, 6119, 564, 1590, 723, 513, 2497, 899, 912, 272, 630, 9008, 1108, 3758, 264, 1341, 562, 630, 1723, 15453, 6119, 994, 16344, 614, 4781, 540, 519, 454, 2903, 4971, 666, 581, 1031, 267, 607, 1134, 607, 513, 1007, 4781, 547, 1450, 16496, 834, 14140, 267, 18431, 267, 21163, 257, 15205, 540, 11282, 24551, 563, 263, 1607, 568, 16861, 543, 2115, 4152, 1040, 1411, 666, 1294, 606, 1383, 563, 309, 4968, 271, 630, 15228, 344, 343, 11022, 299, 994, 297, 28485, 14509, 6119, 3977, 689, 519, 12985, 7998, 10189, 1627, 4211, 1335, 269, 6423, 519, 1627, 4211, 1335, 1808, 3296, 563, 1607, 568, 519, 5065, 3898, 689, 808, 10933, 17449, 15503, 630, 2421, 8834, 661, 4135, 331, 1916, 297, 28485, 630, 1556, 269, 279, 264, 666, 1224, 454, 269, 3250, 6119, 538, 519, 595, 17129, 7968, 3898, 630, 21671, 13350, 10465, 2175, 1916, 268, 595, 17129, 7968, 568, 513, 3301, 10189, 799, 3096, 5860, 6198, 3069, 547, 1683, 513, 1434, 10570, 7400, 6609, 540, 782, 6073, 540, 2326, 543, 6675, 563, 297, 28485, 630, 1556, 269, 279, 264, 666, 1224, 454, 613, 5852, 23357, 6119, 538, 519, 674, 26980, 268, 2727, 338, 3898, 630, 18485, 12440, 3631, 543, 13350, 10465, 2175, 1916, 268, 674, 26980, 268, 2727, 338, 630, 5228, 674, 761, 345, 6953, 629, 518, 268, 9743, 26623, 3541, 7665, 268, 23945, 1188, 8566, 525, 20635, 577, 10762, 264, 568, 606, 782, 3887, 937, 1258, 5907, 2497, 3009, 1759, 593, 25948, 11046, 19721, 10739, 1023, 563, 297, 28485, 630, 1556, 269, 280, 269, 1691, 264, 666, 1224, 667, 16165, 2839, 6119, 282, 713, 3898, 568, 513, 20902, 11269, 540, 3977, 689, 513, 3099, 540, 7061, 7344, 9819, 15004, 267, 1519, 2523, 5084, 293, 630, 8649, 23165, 25670, 23398, 1916, 297, 28485, 630, 1321, 269, 274, 269, 278, 264, 666, 1930, 6119, 609, 2098, 2173, 520, 3700, 1239, 267, 606, 4835, 11282, 6041, 267, 602, 2488, 585, 1142, 11046, 922, 3693, 3090, 267, 6125, 13080, 267, 6125, 7285, 543, 1019, 14366, 7285, 269, 901, 3898, 568, 1031, 552, 3052, 269, 676, 519, 631, 8008, 3722, 630, 300, 12817, 2107, 321, 1388, 623, 3722, 330, 720, 264, 3292, 563, 1607, 3898, 786, 581, 10924, 950, 2542, 513, 3758, 4171, 1543, 6238, 609, 454, 258, 313, 21316, 6020, 311, 610, 676, 1210, 454, 12179, 1899, 602, 6238, 609, 1948, 786, 581, 3144, 607, 513, 6085, 630, 663, 621, 666, 2270, 606, 538, 1467, 7097, 1040, 2349, 1678, 3515, 616, 16053, 563, 12179, 2990, 1297, 949, 581, 8719, 676, 513, 2189, 11046, 2012, 266, 15893, 630, 553, 538, 1383, 1297, 476, 274, 2630, 1916, 291, 16244, 8444, 616, 4847, 267, 1210, 2473, 610, 2473, 333, 563, 289, 1180, 1931, 949, 581, 9138, 607, 606, 3606, 8870, 593, 519, 1899, 563, 258, 313, 21316, 6020, 311, 1948, 15655, 595, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 13651, 476, 274, 13651, 476, 6344, 269, 1822, 271, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 13651, 476, 274, 910, 6344, 269, 1822, 271, 454, 258, 313, 21316, 6020, 311, 1948, 3327, 8166, 595, 744, 13651, 476, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 476, 273, 13651, 744, 13651, 476, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 476, 273, 13651, 476, 5197, 13651, 26115, 26115, 26115, 476, 273, 454, 258, 313, 21316, 6020, 311, 1948, 3327, 8166, 595, 272, 744, 272, 595, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 476, 273, 744, 273, 595, 272, 476, 272, 269, 4968, 271, 13651, 744, 272, 13651, 476, 5197, 13651, 26115, 26115, 476, 273, 454, 258, 313, 21316, 6020, 311, 1948, 20342, 630, 6748, 2241, 7285, 1152, 264, 1948, 13651, 20134, 3845, 6920, 602, 519, 2034, 5086, 568, 513, 3339, 5086, 267, 711, 513, 1019, 14366, 281, 715, 272, 670, 272, 715, 272, 476, 272, 269, 271, 670, 273, 715, 272, 476, 272, 269, 271, 670, 272, 476, 13040, 13651, 670, 274, 715, 272, 910, 272, 269, 271, 670, 272, 476, 13040, 670, 273, 476, 13040, 454, 258, 313, 21316, 6020, 311, 1948, 20342, 630, 6748, 2241, 7285, 1152, 264, 1948, 20134, 3845, 543, 835, 2942, 5086, 10941, 525, 519, 669, 597, 1275, 281, 715, 272, 670, 272, 715, 272, 476, 272, 269, 271, 670, 273, 715, 272, 476, 272, 269, 271, 670, 272, 476, 13040, 670, 274, 715, 272, 910, 272, 269, 271, 670, 272, 910, 13040, 670, 273, 476, 13040, 454, 1607, 3898, 568, 711, 6462, 676, 808, 28485, 269, 1452, 4967, 616, 1934, 585, 2104, 4704, 563, 298, 20003, 630, 298, 9680, 294, 11906, 9577, 264, 3898, 568, 519, 3044, 1031, 676, 519, 19109, 9369, 15610, 540, 2637, 525, 543, 2637, 2345, 630, 298, 9680, 294, 264, 543, 519, 12754, 585, 769, 26197, 540, 31946, 3699, 693, 590, 24499, 630, 305, 5058, 306, 1040, 898, 568, 10169, 2147, 547, 519, 12387, 3898, 563, 268, 4886, 540, 513, 3114, 2497, 6476, 1505, 585, 7471, 2079, 540, 3114, 543, 22308, 1344, 538, 519, 10894, 11444, 269, 631, 269, 670, 3430, 9461, 267, 962, 269, 21411, 684, 334, 267, 590, 269, 717, 9369, 267, 631, 269, 918, 2033, 327, 13453, 630, 1220, 274, 264, 4750, 540, 519, 1977, 11906, 5980, 476, 10219, 281, 14093, 7871, 268, 14093, 4792, 20163, 281, 13970, 4962, 275, 5881, 8222, 281, 1015, 269, 9083, 272, 10768, 320, 271, 3607, 27157, 340, 454, 297, 28485, 814, 513, 3908, 12588, 585, 1603, 7636, 10974, 267, 1519, 1152, 519, 4867, 5697, 1305, 540, 8444, 269, 630, 1607, 2636, 547, 4688, 519, 2898, 2203, 267, 6148, 538, 513, 3898, 1114, 689, 519, 3312, 835, 267, 610, 547, 1349, 513, 15410, 540, 519, 8444, 538, 519, 3312, 2203, 1916, 18814, 547, 10084, 3354, 27047, 6493, 267, 1152, 519, 3498, 543, 519, 9896, 813, 2280, 666, 2328, 547, 6119, 593, 12210, 269, 634, 5667, 11220, 813, 2280, 666, 2705, 4159, 519, 29633, 1239, 538, 519, 23641, 6885, 267, 689, 1141, 596, 666, 5299, 621, 267, 13594, 883, 513, 1257, 9375, 543, 4688, 621, 547, 3758, 563, 18744, 631, 5357, 267, 2473, 312, 313, 543, 19113, 289, 12043, 616, 6462, 585, 13143, 269, 634, 1505, 568, 547, 946, 519, 454, 31095, 4971, 630, 5228, 7097, 610, 689, 519, 23641, 1916, 763, 3498, 666, 849, 13143, 547, 21714, 3403, 3898, 1210, 519, 1283, 10624, 543, 513, 13972, 269, 0, 4913, 267, 1082, 824, 2188, 666, 3310, 4463, 1282, 1646, 267, 1519, 6484, 267, 10399, 267, 2534, 2157, 267, 543, 17421, 540, 2462, 18849, 344, 2175, 269, 901, 1797, 267, 585, 3236, 267, 602, 7381, 1004, 4043, 547, 723, 1453, 945, 849, 1332, 909, 547, 581, 7381, 269, 4658, 2356, 1332, 2394, 789, 3914, 476, 1240, 1296, 540, 2085, 269, 6969, 1287, 267, 513, 2039, 540, 2825, 2188, 666, 1860, 875, 7381, 789, 1831, 563, 10932, 2982, 602, 707, 588, 1155, 666, 3310, 3388, 689, 707, 1981, 540, 2295, 2068, 543, 2860, 547, 707, 4747, 543, 9228, 4482, 4369, 269, 8866, 3100, 547, 17708, 339, 3533, 2443, 1175, 2307, 1022, 2385, 945, 814, 547, 1832, 9140, 1007, 9660, 3923, 1310, 3923, 267, 2473, 1091, 17476, 585, 9042, 1310, 1032, 563, 4692, 596, 3247, 3054, 689, 3395, 26339, 888, 3719, 875, 4010, 1281, 2208, 4755, 286, 4658, 1332, 693, 741, 16595, 2557, 607, 715, 8775, 2021, 540, 2527, 11637, 538, 519, 1101, 1032, 540, 1272, 267, 4946, 827, 476, 1015, 6279, 547, 741, 4463, 689, 4332, 547, 2085, 476, 272, 267, 1310, 799, 4463, 4679, 10169, 20406, 543, 24076, 2282, 607, 6385, 2394, 18273, 267, 2687, 547, 519, 1977, 9142, 540, 27435, 563, 294, 597, 3149, 2356, 3247, 3395, 1079, 547, 1614, 1296, 1310, 789, 1205, 741, 1974, 267, 543, 1247, 930, 8695, 3914, 741, 2937, 4463, 538, 1164, 1153, 267, 1866, 3136, 3395, 883, 741, 2038, 1000, 550, 625, 269, 17451, 2220, 792, 602, 707, 1126, 814, 6738, 26339, 16074, 888, 30342, 1932, 7381, 610, 1932, 2110, 454, 2791, 949, 581, 1318, 269, 769, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 3013, 729, 1753, 547, 519, 25441, 678, 338, 929, 17892, 1004, 538, 519, 1158, 267, 855, 2221, 602, 8956, 4422, 547, 519, 13814, 269, 4653, 267, 10656, 2367, 543, 2021, 3328, 476, 277, 3952, 543, 476, 276, 3952, 476, 277, 563, 3963, 519, 17277, 538, 13354, 588, 1155, 286, 3807, 899, 707, 2597, 11385, 919, 2429, 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 ]
[ 5325, 263, 273, 1070, 476, 25908, 1700, 15996, 8222, 281, 1015, 269, 1911, 278, 4882, 13199, 2568, 268, 25320, 268, 4817, 275, 271, 268, 275, 1496, 24340, 316, 20163, 281, 25240, 23470, 11025, 454, 268, 661, 653, 338, 267, 674, 1421, 28024, 5404, 267, 700, 269, 1299, 4325, 19816, 267, 808, 269, 918, 269, 630, 1001, 277, 1040, 1215, 798, 649, 3895, 1072, 286, 3245, 519, 1913, 540, 3979, 1977, 22242, 609, 12110, 543, 741, 1920, 2818, 269, 3194, 538, 15168, 2632, 1670, 16711, 267, 476, 280, 263, 277, 1070, 476, 30116, 1700, 27868, 8222, 281, 1015, 269, 4375, 273, 279, 270, 3707, 271, 5392, 2641, 268, 1001, 2568, 280, 2764, 268, 4905, 1496, 24340, 316, 20163, 281, 30116, 4649, 273, 6078, 454, 268, 13983, 518, 267, 667, 269, 645, 269, 1299, 2806, 601, 267, 654, 269, 631, 269, 630, 1001, 278, 1040, 16241, 4882, 2869, 3770, 12003, 538, 4587, 3979, 1977, 2021, 269, 19120, 5511, 7797, 267, 476, 2420, 263, 272, 1070, 476, 26801, 1700, 18605, 563, 268, 16803, 267, 808, 269, 645, 1421, 9995, 601, 22603, 267, 631, 1421, 18703, 267, 589, 269, 667, 1421, 589, 3258, 19789, 267, 631, 269, 1299, 918, 14535, 580, 267, 670, 269, 717, 269, 630, 1001, 274, 1040, 968, 2791, 991, 513, 5152, 547, 3142, 596, 998, 27535, 634, 946, 540, 3909, 8964, 547, 4383, 17173, 1272, 2621, 269, 634, 15168, 2632, 6048, 267, 476, 7871, 263, 272, 1070, 476, 2918, 1700, 4343, 8222, 281, 1015, 269, 11820, 274, 270, 3455, 2632, 17320, 985, 271, 5038, 1496, 24340, 316, 20163, 281, 18597, 279, 3445, 2537, 454, 268, 918, 14535, 580, 267, 670, 269, 717, 269, 630, 1001, 273, 1040, 15215, 267, 17035, 267, 543, 1072, 281, 634, 1382, 543, 4791, 6286, 269, 4959, 305, 301, 24741, 267, 476, 1001, 273, 267, 476, 30116, 278, 1789, 8222, 281, 1015, 269, 25851, 273, 270, 1001, 273, 270, 30116, 278, 1789, 1496, 24340, 316, 20163, 281, 26801, 277, 2767, 5038, 454, 268, 918, 14535, 580, 267, 670, 269, 717, 269, 1299, 645, 1380, 532, 267, 589, 269, 630, 1001, 271, 1040, 634, 16099, 2160, 15215, 12039, 630, 291, 13543, 299, 2567, 589, 2947, 6221, 2268, 585, 946, 538, 16917, 8344, 2090, 269, 9671, 687, 267, 476, 272, 267, 476, 4281, 1700, 5952, 8222, 281, 1015, 269, 26552, 271, 270, 7758, 6200, 23669, 279, 1496, 24340, 2639, 268, 918, 14535, 580, 267, 670, 269, 717, 1421, 3751, 267, 667, 269, 661, 269, 1299, 23663, 517, 267, 966, 269, 645, 269, 630, 1001, 273, 1040, 18361, 540, 4984, 543, 1072, 269, 10228, 2160, 4964, 563, 268, 918, 14535, 580, 267, 670, 269, 717, 1421, 15651, 267, 2098, 1421, 1325, 2098, 629, 523, 267, 674, 269, 1299, 1520, 328, 267, 589, 269, 630, 1001, 276, 1040, 27801, 883, 11059, 17361, 281, 589, 3102, 543, 6213, 2268, 540, 3909, 9525, 269, 9671, 687, 267, 476, 277, 263, 274, 1070, 476, 1911, 277, 1700, 6200, 277, 8222, 281, 1015, 269, 26552, 271, 270, 7758, 2568, 274, 1911, 277, 1496, 24340, 2639, 268, 29485, 267, 700, 269, 667, 269, 1299, 667, 3326, 1695, 924, 267, 667, 269, 595, 269, 630, 1001, 272, 1040, 14086, 519, 10096, 543, 17444, 856, 519, 3157, 689, 6530, 540, 4984, 781, 9756, 7823, 269, 10017, 540, 15215, 543, 20154, 640, 267, 476, 274, 267, 476, 8687, 1700, 4350, 8222, 281, 1015, 269, 9818, 278, 21669, 16573, 13136, 277, 1496, 24340, 2639, 268, 5062, 3849, 5622, 267, 670, 269, 623, 269, 630, 1220, 278, 1040, 3979, 1977, 15295, 2592, 269, 769, 4563, 3885, 630, 275, 628, 1196, 1421, 6032, 269, 476, 14991, 1700, 14378, 1040, 590, 720, 269, 8222, 281, 1015, 269, 31979, 276, 270, 7818, 13970, 19442, 2568, 273, 277, 8542, 1556, 1496, 24340, 2639, 268, 631, 4026, 340, 807, 267, 590, 269, 630, 1001, 272, 1040, 9671, 6685, 269, 769, 14068, 773, 267, 645, 1421, 19161, 267, 667, 11607, 19913, 29754, 518, 1299, 5651, 331, 3626, 267, 700, 269, 630, 32295, 13776, 4139, 22605, 540, 2797, 2257, 630, 653, 269, 476, 26297, 274, 1700, 26297, 275, 1040, 590, 720, 269, 8222, 281, 1015, 269, 31979, 276, 270, 7818, 15221, 27768, 280, 8287, 277, 8542, 31982, 1496, 24340, 2639, 268, 623, 1173, 3512, 267, 918, 269, 594, 269, 1299, 681, 2967, 5984, 267, 670, 269, 589, 269, 630, 1220, 278, 1040, 589, 8717, 540, 1382, 593, 519, 6530, 540, 4984, 543, 12003, 281, 12085, 649, 10924, 543, 4245, 649, 4121, 269, 623, 1910, 651, 1299, 8298, 657, 267, 476, 2764, 267, 476, 278, 5655, 1700, 278, 5780, 563, 268, 623, 3430, 2581, 267, 590, 269, 630, 1001, 274, 1040, 15215, 267, 17035, 543, 1072, 1416, 281, 4762, 16272, 267, 13253, 267, 3255, 269, 2657, 5516, 5811, 267, 476, 2641, 263, 274, 1070, 476, 4350, 1700, 21709, 8222, 281, 1015, 269, 1911, 278, 4882, 13040, 2764, 268, 25320, 268, 271, 2190, 276, 268, 275, 1496, 24340, 316, 20163, 281, 20720, 27151, 10436, 454, 268, 623, 1168, 17072, 269, 630, 1001, 276, 1040, 476, 1001, 275, 3909, 5251, 1353, 269, 623, 1168, 3194, 4741, 563, 268, 15887, 514, 578, 6308, 267, 962, 269, 717, 1421, 8575, 639, 22138, 267, 645, 269, 570, 1421, 2311, 330, 8657, 267, 623, 269, 808, 269, 1299, 11829, 698, 615, 268, 1320, 15106, 267, 667, 269, 630, 1220, 280, 1040, 634, 2078, 1063, 2538, 6685, 543, 1072, 5615, 538, 4775, 15637, 540, 4587, 4079, 609, 12110, 269, 28544, 1299, 10076, 2657, 267, 476, 1724, 263, 277, 1070, 476, 4281, 279, 1700, 278, 7176, 8222, 281, 1015, 269, 10482, 271, 270, 15793, 271, 4281, 2568, 280, 27157, 275, 5038, 5379, 1496, 24340, 316, 20163, 281, 2735, 6434, 277, 4200, 454, 268, 1530, 26223, 5652, 267, 681, 269, 700, 269, 630, 2735, 274, 1040, 634, 3909, 13210, 540, 1072, 1416, 281, 589, 12497, 1935, 269, 4750, 540, 6481, 15979, 267, 476, 280, 263, 274, 1070, 476, 13679, 1700, 15433, 8222, 281, 1015, 269, 13647, 277, 10768, 1889, 269, 280, 269, 274, 269, 13679, 1496, 24340, 316, 20163, 281, 5780, 273, 271, 3953, 273, 454, 268, 4787, 23124, 267, 589, 1421, 18703, 267, 570, 269, 808, 269, 1299, 29485, 267, 700, 269, 630, 1001, 279, 1040, 968, 763, 19001, 540, 1866, 5280, 27535, 3955, 947, 800, 11755, 607, 513, 2707, 540, 12003, 543, 6043, 538, 4168, 3979, 1977, 3885, 269, 4750, 540, 15215, 1299, 20154, 640, 538, 4317, 4518, 267, 476, 4391, 263, 275, 1070, 476, 32699, 1700, 4375, 275, 8222, 281, 1015, 269, 10482, 271, 270, 15150, 25784, 3953, 269, 1001, 279, 269, 5611, 6021, 278, 271, 1496, 24340, 2639, 268, 590, 592, 5733, 344, 267, 667, 269, 623, 269, 630, 1220, 280, 1040, 20154, 640, 267, 4984, 267, 543, 4791, 1416, 269, 30446, 267, 476, 13670, 263, 277, 1070, 476, 14321, 275, 1700, 13932, 273, 8222, 281, 1015, 269, 15389, 279, 270, 3832, 560, 269, 5400, 268, 23470, 272, 1496, 24340, 316, 20163, 281, 3707, 7818, 7176, 454, 268, 13177, 267, 681, 269, 808, 1421, 13378, 1562, 267, 700, 269, 631, 269, 1299, 2274, 9109, 267, 808, 269, 630, 1220, 275, 1040, 15215, 538, 519, 2729, 540, 3979, 4892, 1514, 267, 5626, 267, 543, 1072, 5380, 269, 590, 720, 563, 268, 27347, 267, 681, 269, 667, 269, 1299, 645, 677, 872, 267, 667, 269, 590, 269, 630, 1001, 273, 1040, 968, 4692, 649, 2911, 827, 519, 4287, 540, 713, 5939, 9495, 281, 634, 1764, 540, 30506, 543, 4655, 593, 15940, 10118, 262, 2078, 609, 3909, 5238, 269, 4750, 540, 9012, 543, 15215, 267, 476, 1556, 267, 476, 1220, 1700, 21497, 8222, 281, 1015, 269, 10482, 271, 270, 14631, 4366, 275, 2537, 269, 1001, 273, 269, 278, 1789, 20065, 1496, 24340, 2639, 268, 2098, 20810, 267, 2098, 1421, 808, 16925, 267, 595, 1421, 15616, 340, 267, 595, 269, 570, 1421, 2986, 23264, 531, 267, 631, 269, 645, 1421, 10162, 14765, 267, 674, 269, 1299, 590, 7159, 334, 267, 962, 269, 630, 1001, 277, 1040, 20154, 640, 267, 2538, 6685, 267, 10172, 543, 1072, 538, 2518, 5133, 281, 589, 2689, 269, 9399, 300, 910, 15510, 2657, 267, 476, 273, 267, 476, 32699, 1700, 4343, 272, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 1087, 332, 874, 269, 1001, 277, 269, 6860, 269, 27947, 1496, 24340, 316, 20163, 281, 27840, 5392, 272, 7918, 0, 301, 792, 6792, 538, 9947, 328, 1092, 6019, 267, 12425, 2443, 634, 1977, 29036, 630, 300, 573, 268, 4263, 23007, 994, 292, 5550, 539, 476, 3707, 278, 676, 12425, 8466, 543, 7467, 8189, 563, 12749, 923, 543, 3126, 269, 901, 3140, 15262, 568, 7396, 538, 891, 1888, 8638, 281, 7111, 4892, 3040, 10003, 338, 1299, 30863, 269, 769, 1840, 267, 621, 568, 3769, 538, 519, 12425, 8466, 543, 7467, 8189, 3126, 1592, 563, 19613, 269, 4460, 518, 814, 1044, 8697, 269, 476, 2412, 4113, 476, 3953, 269, 10436, 12664, 715, 267, 476, 6507, 4113, 476, 2420, 269, 6021, 272, 12664, 654, 269, 4460, 518, 568, 2282, 6792, 267, 12425, 267, 538, 9947, 328, 1092, 6019, 269, 4460, 518, 568, 593, 5261, 24282, 23681, 630, 308, 2529, 269, 476, 2420, 264, 476, 271, 269, 272, 5195, 7178, 540, 12425, 27953, 476, 4037, 267, 593, 519, 1318, 950, 10707, 7532, 269, 25291, 585, 4786, 269, 4460, 518, 568, 538, 713, 2022, 5604, 1858, 281, 6792, 13698, 476, 10204, 6321, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 476, 274, 5195, 540, 713, 4087, 267, 6027, 607, 519, 7715, 13733, 269, 10783, 645, 662, 600, 630, 12671, 476, 7785, 3952, 2476, 267, 6027, 538, 513, 1463, 1899, 5148, 6792, 630, 13627, 269, 476, 272, 269, 272, 5195, 2476, 5148, 21701, 24104, 1222, 27851, 17341, 27254, 24305, 630, 13627, 269, 476, 272, 269, 272, 5195, 2476, 5148, 3689, 6519, 5590, 25557, 538, 519, 9947, 328, 1092, 9503, 2051, 269, 5261, 4793, 1562, 517, 630, 13627, 269, 476, 272, 269, 273, 5195, 2476, 5148, 4793, 1562, 517, 781, 10783, 630, 13627, 269, 476, 272, 269, 273, 5195, 2476, 5148, 9947, 328, 1092, 6019, 630, 13627, 269, 476, 273, 269, 272, 5195, 2476, 5148, 9947, 328, 1092, 6019, 2782, 17341, 630, 13627, 269, 476, 273, 269, 273, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 6792, 563, 5415, 827, 713, 15262, 269, 4460, 518, 814, 15468, 856, 540, 922, 7406, 267, 7508, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4873, 476, 274, 267, 476, 1001, 279, 269, 898, 729, 8385, 11643, 593, 4873, 476, 274, 267, 476, 1001, 279, 267, 676, 19375, 12736, 3410, 656, 601, 540, 29016, 267, 12425, 269, 901, 2985, 814, 1044, 9763, 476, 6858, 2053, 2094, 1287, 543, 476, 1321, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 269, 11643, 593, 4873, 476, 274, 267, 476, 1001, 279, 267, 676, 19375, 12736, 3410, 656, 601, 540, 29016, 267, 12425, 563, 29394, 779, 1616, 2000, 626, 585, 713, 15262, 269, 17421, 540, 519, 15262, 1991, 1354, 2469, 7508, 269, 3040, 2052, 596, 948, 286, 0, 763, 4098, 540, 519, 476, 2641, 560, 2540, 814, 2938, 811, 6639, 8441, 982, 1022, 824, 942, 538, 938, 1686, 267, 693, 606, 23960, 2557, 540, 1689, 269, 2311, 519, 942, 540, 1603, 267, 649, 616, 7487, 519, 4367, 540, 17562, 267, 5444, 3797, 543, 29113, 883, 3677, 543, 3677, 3344, 540, 1072, 1416, 799, 267, 950, 5916, 609, 8441, 538, 7384, 1379, 602, 786, 4166, 9765, 519, 4393, 1379, 540, 519, 1480, 2634, 267, 649, 3100, 26405, 593, 519, 1490, 1074, 540, 513, 6521, 538, 938, 1620, 540, 1018, 621, 1797, 547, 581, 1480, 269, 769, 1840, 547, 519, 6654, 3310, 540, 1344, 543, 2792, 2029, 593, 1514, 3889, 267, 649, 616, 849, 7680, 513, 6521, 689, 7299, 2792, 3889, 602, 17979, 25327, 540, 1852, 267, 547, 8880, 3889, 1107, 899, 5121, 1107, 602, 18220, 11558, 267, 9316, 543, 5698, 630, 289, 548, 752, 2917, 267, 2349, 662, 267, 645, 992, 928, 1299, 5696, 823, 645, 992, 928, 269, 476, 1001, 272, 1040, 17859, 540, 1018, 649, 1289, 713, 2686, 6521, 538, 5133, 630, 14006, 19640, 640, 267, 3735, 29678, 267, 543, 2022, 16058, 1143, 616, 782, 1031, 10169, 954, 577, 836, 2406, 1070, 1018, 6927, 568, 875, 649, 7259, 6000, 547, 519, 2104, 630, 756, 573, 28593, 11693, 519, 9165, 540, 891, 2242, 543, 741, 17149, 1764, 593, 1072, 22825, 2069 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2705, 267, 1018, 568, 519, 2495, 540, 519, 3970, 3294, 286, 1403, 649, 1500, 1450, 1734, 585, 1016, 16647, 2827, 602, 4865, 1114, 9019, 7182, 610, 2825, 2175, 602, 1689, 519, 3970, 267, 621, 1131, 581, 2556, 547, 15093, 519, 10206, 540, 513, 8471, 9019, 3970, 563, 13706, 519, 3390, 540, 4719, 13260, 269, 1703, 616, 2609, 540, 519, 1480, 26737, 602, 1397, 3592, 1100, 13260, 630, 18314, 4064, 267, 1079, 7953, 267, 476, 1015, 11263, 267, 476, 5379, 15954, 1070, 1317, 538, 891, 3871, 1034, 13592, 616, 18111, 614, 1190, 269, 1703, 616, 824, 4162, 602, 1397, 9645, 13260, 630, 327, 1515, 543, 2960, 2681, 267, 4463, 267, 4987, 1070, 1317, 16817, 1014, 5542, 1281, 711, 9244, 3870, 835, 26737, 936, 1776, 269, 769, 1970, 2173, 677, 1275, 5095, 267, 15325, 4440, 8813, 883, 519, 8545, 7121, 267, 1317, 2022, 10517, 8793, 6668, 666, 723, 1152, 3908, 16496, 3310, 563, 10387, 2869, 1227, 267, 649, 917, 689, 18618, 2090, 602, 10199, 835, 10116, 540, 519, 13260, 538, 1367, 6502, 693, 2669, 949, 581, 1813, 547, 4719, 2188, 630, 18250, 294, 826, 1696, 620, 1421, 476, 1960, 274, 282, 670, 619, 11779, 1696, 620, 1421, 476, 1960, 277, 1040, 4475, 267, 621, 1058, 581, 2009, 547, 1265, 1016, 25364, 540, 519, 1480, 2551, 602, 723, 606, 8966, 4719, 1439, 578, 618, 585, 15325, 269, 1280, 513, 5697, 1016, 28134, 267, 649, 1522, 7747, 3328, 9019, 2157, 602, 2887, 2630, 519, 7811, 5934, 267, 799, 10039, 547, 513, 4351, 3732, 540, 519, 2698, 1480, 2551, 269, 769, 1840, 267, 621, 568, 2009, 602, 713, 7811, 5934, 1223, 1689, 936, 942, 267, 607, 513, 1267, 540, 16817, 1014, 5542, 267, 4719, 20847, 267, 610, 6857, 12879, 630, 572, 29193, 9960, 610, 4719, 4702, 1916, 11997, 267, 585, 519, 3483, 540, 7234, 10700, 9019, 7182, 267, 594, 8263, 602, 519, 4229, 540, 16817, 1014, 5542, 543, 4719, 20847, 786, 723, 1152, 513, 30050, 1764, 593, 519, 11976, 540, 1480, 15325, 936, 519, 942, 16880, 540, 1719, 547, 1629, 20802, 543, 1514, 24990, 267, 799, 568, 5310, 476, 2004, 268, 1911, 1296, 269, 5015, 267, 4352, 621, 4667, 791, 337, 644, 550, 547, 1179, 3634, 827, 519, 1761, 1764, 602, 519, 6857, 12879, 540, 519, 1480, 11646, 1522, 723, 538, 713, 1858, 267, 782, 6898, 827, 10700, 9019, 7182, 1590, 8209, 8263, 606, 9000, 540, 3811, 3646, 547, 7369, 1480, 15325, 676, 713, 1797, 269, 7053, 267, 585, 713, 4901, 267, 594, 849, 10714, 519, 7872, 602, 4909, 2242, 538, 519, 3618, 781, 3235, 657, 903, 8894, 339, 655, 630, 7945, 607, 519, 20296, 2242, 2404, 609, 27230, 21971, 610, 1480, 14001, 834, 29514, 8337, 8442, 1522, 723, 513, 1713, 1198, 593, 1480, 9019, 2157, 538, 519, 1985, 2540, 563, 4415, 891, 9993, 543, 20340, 538, 2247, 267, 621, 568, 10257, 547, 2015, 693, 2547, 519, 7872, 602, 930, 4528, 540, 519, 3970, 1673, 626, 9084, 8367, 1522, 581, 3020, 269, 634, 2243, 2404, 609, 519, 8367, 1522, 581, 7150, 607, 5205, 281, 9717, 519, 1699, 4719, 5888, 540, 519, 1480, 2551, 543, 519, 2067, 1604, 607, 621, 6818, 2221, 267, 1281, 972, 2291, 606, 9048, 3027, 1043, 9019, 1377, 267, 6719, 676, 554, 16732, 343, 1070, 799, 3976, 10522, 606, 5580, 3970, 547, 519, 1611, 1272, 12732, 267, 610, 1272, 19104, 630, 8117, 711, 8209, 513, 13113, 5021, 1272, 12732, 25145, 2026, 609, 519, 1079, 19165, 5018, 5892, 267, 972, 723, 1044, 1896, 5717, 540, 713, 1888, 2907, 538, 519, 3332, 269, 25816, 613, 12251, 6261, 747, 520, 630, 4198, 273, 267, 476, 3192, 279, 1070, 918, 2335, 626, 334, 630, 2735, 279, 1070, 543, 744, 3149, 327, 753, 5652, 1696, 620, 269, 630, 1960, 271, 264, 723, 782, 1031, 2409, 585, 27985, 14874, 1978, 3123, 540, 2669, 607, 513, 1797, 540, 3695, 519, 2539, 7182, 540, 1480, 9019, 3928, 269, 634, 24134, 585, 971, 9273, 568, 519, 3661, 602, 1978, 834, 1410, 18100, 257, 3123, 540, 2669, 1223, 27985, 581, 17515, 267, 1247, 824, 834, 754, 18100, 257, 3123, 949, 6961, 703, 847, 762, 563, 2467, 616, 1896, 4128, 547, 10404, 1125, 519, 2014, 268, 601, 574, 1588, 12191, 267, 2705, 269, 3689, 267, 519, 1505, 3335, 3322, 606, 13429, 602, 519, 1585, 3123, 7500, 10446, 540, 835, 1776, 630, 7659, 325, 6308, 267, 476, 2735, 276, 1070, 799, 568, 711, 26363, 538, 1082, 3871, 630, 300, 656, 517, 1696, 620, 1421, 476, 1960, 272, 1040, 5015, 267, 519, 7811, 11984, 1063, 834, 754, 18100, 257, 543, 834, 1410, 18100, 257, 3123, 568, 2864, 19796, 1190, 269, 18200, 1275, 3928, 1813, 547, 865, 10777, 608, 18100, 3123, 630, 324, 3052, 1421, 11763, 2068, 267, 10913, 267, 11980, 264, 4043, 547, 2333, 609, 2085, 267, 5310, 10452, 606, 2799, 4412, 3748, 547, 13151, 3518, 547, 891, 3123, 607, 513, 1267, 540, 4835, 23979, 269, 2506, 2869, 673, 2963, 849, 9727, 602, 9019, 3928, 1813, 547, 865, 10777, 1439, 18100, 3123, 616, 3810, 4756, 267, 1312, 936, 942, 543, 2066, 5095, 269, 4935, 267, 621, 4667, 2693, 602, 3592, 782, 3123, 540, 2669, 616, 1312, 834, 1410, 18100, 257, 543, 834, 754, 18100, 257, 538, 2470, 269, 6684, 267, 519, 10206, 540, 2669, 1813, 14311, 547, 834, 1245, 2085, 5257, 610, 834, 11420, 1006, 2437, 799, 674, 1845, 630, 2735, 271, 264, 5219, 547, 607, 834, 11499, 2669, 2437, 814, 1044, 25921, 22309, 630, 19913, 928, 3187, 543, 7935, 11276, 267, 476, 2735, 274, 1916, 32701, 267, 2014, 268, 601, 574, 1588, 3631, 616, 711, 519, 1152, 1797, 540, 3695, 519, 10206, 540, 513, 9019, 3970, 3892, 269, 4033, 267, 6140, 740, 554, 665, 2409, 723, 849, 1044, 1031, 547, 7447, 835, 610, 811, 6724, 540, 713, 19858, 3892, 269, 1280, 1383, 267, 674, 1845, 630, 2735, 271, 264, 6508, 1010, 7447, 540, 519, 5021, 24276, 1480, 1272, 19104, 676, 970, 1905, 565, 908, 519, 2698, 1272, 19104, 693, 2085, 1547, 693, 1585, 6502, 269, 5221, 814, 12926, 1044, 8375, 1454, 1447, 6385, 693, 4587, 982, 693, 7820, 6502, 267, 519, 970, 1905, 565, 730, 14258, 1590, 5555, 12969, 269, 4340, 547, 674, 1845, 267, 713, 10167, 786, 2049, 1472, 519, 1032, 476, 14225, 276, 585, 519, 772, 2529, 269, 2551, 267, 950, 606, 834, 728, 531, 3328, 1272, 12732, 257, 540, 1472, 476, 5952, 1296, 1058, 581, 6913, 269, 901, 5021, 1272, 19104, 14687, 547, 674, 1845, 262, 834, 728, 958, 1412, 5550, 9771, 262, 6668, 7455, 257, 543, 3976, 547, 513, 12145, 9019, 3892, 563, 293, 1845, 262, 4661, 267, 2705, 267, 4667, 547, 11716, 519, 1966, 540, 513, 19944, 8462, 693, 454, 1492, 3970, 3294, 269, 4208, 1131, 519, 1585, 2418, 540, 1246, 5094, 267, 5276, 10092, 2394, 519, 1448, 540, 19427, 855, 1287, 19467, 543, 2611, 3586, 630, 19925, 476, 5952, 1296, 264, 27502, 286, 4982, 958, 5812, 609, 519, 12170, 2963, 11652, 811, 26363, 27985, 28934, 513, 12605, 602, 519, 2418, 540, 949, 1847, 6251, 936, 942, 2059, 20078, 559, 710, 541, 10092, 855, 2760, 1831, 3160, 269, 3245, 713, 5133, 267, 891, 14258, 1522, 610, 1522, 711, 581, 2219, 547, 4865, 606, 5580, 3970, 563, 7197, 2963, 689, 15295, 3466, 4667, 22522, 609, 519, 10206, 540, 513, 13113, 9019, 3970, 267, 855, 972, 616, 930, 1271, 2055, 540, 7664, 269, 1403, 972, 6818, 513, 1875, 25179, 2539, 3808, 585, 2085, 10391, 2669, 3928, 267, 875, 1131, 649, 917, 952, 621, 941, 16042, 286, 4107, 4589, 3100, 547, 8263, 602, 519, 1935, 547, 513, 3970, 1131, 581, 6353, 676, 513, 3500, 6658, 538, 519, 2557, 540, 9019, 7771, 936, 942, 269, 634, 9000, 540, 632, 5120, 566, 538, 519, 2557, 540, 9019, 7771, 267, 1287, 267, 568, 3144, 607, 2963, 602, 649, 616, 711, 4867, 16042, 513, 2539, 3970, 538, 9019, 3928, 563, 2690, 1383, 267, 519, 5786, 538, 2085, 10391, 2669, 3928, 585, 1034, 2919, 2477, 814, 1044, 513, 7123, 267, 1279, 3856, 1184, 269, 901, 3932, 568, 11609, 585, 519, 2136, 2276, 538, 7612, 476, 274, 268, 278, 267, 799, 2982, 2085, 14194, 3286, 539, 2669, 3928, 585, 2021, 543, 2367, 1282, 476, 5002, 271, 268, 1960, 273, 1759, 593, 4317, 8232, 1239, 630, 289, 749, 1696, 620, 1421, 476, 1960, 273, 1040, 901, 4137, 568, 6537, 1210, 513, 5033, 559, 690, 15162, 6193, 4336, 547, 14883, 609, 3044, 2259, 269, 4935, 267, 621, 568, 519, 3448, 267, 711, 6207, 267, 2557, 540, 9019, 7771, 602, 814, 1044, 7123, 563, 2252, 7612, 476, 274, 268, 278, 4951, 3466, 538, 2669, 3928, 585, 5094, 2085, 2516, 267, 519, 2489, 3932, 630, 1993, 7123, 7771, 264, 1131, 711, 1689, 269, 898, 1131, 581, 10423, 267, 2705, 267, 602, 519, 2557, 540, 6175, 814, 9867, 11104, 3585, 676, 2085, 281, 4352, 519, 4806, 814, 4957, 538, 2487, 1296, 267, 2669, 3928, 723, 3335, 15468, 1454, 811, 6385, 693, 7820, 982, 693, 4587, 6502, 269, 1879, 1818, 9019, 20327, 267, 621, 568, 6093, 547, 8263, 602, 519, 3604, 676, 2085, 538, 519, 10605, 540, 9019, 7771, 786, 3136, 883, 519, 2104, 630, 303, 3326, 731, 267, 476, 2735, 278, 282, 10557, 543, 25020, 267, 476, 1960, 273, 1916, 13295, 267, 519, 7678, 538, 7612, 476, 274, 268, 278, 568, 6766, 676, 519, 11999, 7771, 538, 10867, 543, 1126, 9019, 267, 543, 849, 676, 4130, 20214, 538, 2669, 3928, 693, 4587, 6502, 269, 3683, 519, 942, 1974, 3254, 1934, 267, 519, 3448, 2956, 547, 519, 2949, 9019, 7771, 540, 2242, 538, 7820, 543, 4587, 2085, 2516, 814, 20328, 3294, 269, 1306, 5941, 2630, 267, 519, 1034, 4028, 11081, 538, 9019, 616, 1631, 9648, 693, 4587, 6502, 267, 6466, 519, 6587, 729, 3020, 538, 4505, 21971, 540, 9019, 7771, 269, 4935, 267, 621, 568, 782, 519, 811, 7415, 602, 519, 7678, 538, 7612, 476, 274, 268, 278, 267, 799, 568, 513, 12432, 540, 3466, 2066, 519, 2085, 2039, 267, 7575, 18746, 609, 971, 2834, 640, 563, 763, 10605, 540, 2949, 9019, 7771, 814, 711, 267, 2705, 267, 1044, 3586, 269, 3245, 7612, 476, 274, 268, 278, 267, 621, 568, 10423, 711, 1152, 602, 972, 723, 1044, 5712, 540, 10231, 543, 632, 5120, 566, 855, 849, 2669, 3928, 723, 6410, 20406, 18746, 936, 519, 1279, 2196, 269, 12344, 519, 1034, 8049, 4183, 540, 7612, 476, 274, 268, 278, 568, 519, 29415, 602, 5526, 689, 1472, 476, 4198, 275, 547, 476, 3422, 279, 267, 2523, 585, 2367, 269, 589, 2143, 4901, 540, 713, 7613, 568, 2016, 676, 595, 3234, 332, 1231, 630, 2735, 272, 1070, 945, 23607, 891, 3466, 538, 2474, 540, 5817, 3123, 540, 2669, 269, 634, 1974, 1472, 519, 476, 3707, 271, 338, 729, 6353, 676, 1360, 4028, 9019, 7771, 267, 19962, 693, 2547, 538, 851, 547, 519, 2799, 946, 540, 3075, 454, 1492, 1905, 625, 267, 5097, 11216, 543, 9829, 320, 5061, 267, 538, 519, 2126, 540, 11763, 3676, 269, 1635, 519, 4571, 476, 4198, 271, 338, 267, 2705, 267, 519, 1761, 585, 2417, 5786, 676, 713, 1797, 729, 5176, 25356, 267, 543, 865, 519, 10605, 540, 2949, 9019, 7771, 30281, 14320, 585, 2021, 543, 3357, 547, 513, 2357, 3386, 26699, 585, 2367, 563, 290, 3234, 332, 1231, 2798, 856, 602, 519, 7678, 538, 5256, 9019, 1472, 519, 476, 3422, 271, 338, 729, 849, 4299, 676, 513, 7646, 2333, 538, 10795, 7972, 267, 538, 1880, 267, 7972, 1813, 547, 4630, 8336, 543, 11980, 269, 634, 759, 18870, 540, 4028, 9019, 7771, 538, 519, 2136, 2276, 1310, 476, 3422, 279, 267, 2705, 267, 8507, 689, 513, 1007, 1305, 540, 2242, 7133, 9025, 9019, 630, 328, 4318, 1421, 7972, 1813, 547, 2295, 2068, 267, 6147, 15842, 341, 6018, 2068, 267, 543, 12091, 3930, 16235, 1040, 1452, 2242, 3769, 1312, 1272, 2511, 630, 1410, 9052, 267, 2732, 267, 7296, 264, 543, 2564, 2188, 630, 17739, 547, 2126, 998, 5313, 3292, 267, 13178, 543, 2126, 540, 13119, 267, 14453, 543, 10551, 7459, 1040, 744, 9405, 547, 891, 7835, 267, 519, 3448, 2450, 540, 519, 7771, 538, 772, 2529, 269, 9019, 3928, 1282, 476, 3422, 279, 268, 3192, 278, 729, 3152, 693, 6502, 476, 5952, 543, 1657, 982, 585, 782, 824, 2085, 2516, 4849, 12256, 630, 290, 3234, 332, 1231, 267, 476, 2735, 272, 281, 15996, 1916, 1432, 729, 8345, 538, 824, 2919, 2477, 1282, 713, 942, 1974, 286, 589, 14887, 10605, 540, 9019, 7771, 1282, 519, 3735, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 2523, 585, 2367, 267, 729, 8984, 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 ]
[ 10784, 16325, 314, 6352, 16325, 9984, 272, 316, 10142, 2745, 5180, 23544, 263, 277, 267, 275, 267, 275, 3418, 0, 3698, 5595, 318, 10420, 19304, 273, 8029, 476, 1193, 272, 284, 3269, 1477, 476, 585, 1775, 538, 2039, 12759, 19304, 273, 264, 8029, 825, 1193, 272, 284, 1598, 272, 266, 273, 265, 1598, 273, 5157, 15947, 476, 2132, 1193, 272, 24653, 2745, 5595, 318, 10420, 2891, 17098, 268, 2467, 14744, 0, 3698, 1293, 318, 5271, 839, 25225, 2187, 825, 1293, 284, 271, 454, 825, 585, 1775, 538, 15358, 912, 1038, 952, 1775, 260, 273, 2525, 271, 912, 2018, 1293, 284, 12248, 266, 272, 454, 825, 2132, 1293, 22562, 2745, 1293, 318, 5271, 839, 8443, 273, 267, 273, 267, 271, 7481, 0, 3698, 1118, 10734, 9581, 4433, 332, 718, 14720, 580, 267, 2998, 531, 2187, 476, 585, 1535, 538, 2039, 263, 272, 14720, 580, 266, 272, 2187, 825, 585, 586, 538, 2039, 263, 272, 267, 20791, 266, 272, 2187, 8587, 952, 586, 266, 276, 20080, 2525, 2998, 531, 912, 1038, 2132, 6936, 692, 476, 2132, 8771, 454, 2745, 1118, 10734, 9581, 263, 1911, 1822, 271, 267, 1911, 271, 267, 1911, 18089, 271, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 12631, 21638, 8975, 363, 16061, 382, 486, 382, 496, 476, 277, 815, 476, 271, 454, 2862, 269, 476, 1428, 344, 273, 15512, 382, 486, 382, 496, 476, 1556, 11027, 21638, 22935, 1341, 476, 273, 815, 476, 271, 692, 291, 3925, 630, 277, 16061, 19050, 382, 497, 476, 1015, 2567, 769, 1142, 540, 519, 1739, 2055, 1079, 4834, 616, 2016, 269, 16534, 891, 4834, 543, 2285, 519, 2626, 912, 5416, 264, 952, 12631, 21638, 8975, 363, 16061, 382, 487, 8975, 363, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 3152, 982, 610, 3160, 547, 12631, 21638, 22935, 454, 6357, 264, 952, 12631, 21638, 8975, 363, 3436, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 3152, 982, 12631, 21638, 22935, 454, 6262, 264, 952, 12631, 21638, 8975, 363, 16061, 382, 487, 11366, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 1447, 982, 610, 3160, 547, 12631, 21638, 22935, 454, 5560, 264, 952, 12631, 21638, 8975, 363, 2999, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 1447, 982, 12631, 21638, 22935, 454, 16216, 264, 12631, 21638, 8975, 363, 815, 12631, 21638, 22935, 610, 1100, 6935, 666, 581, 3964, 1063, 12631, 21638, 8975, 363, 543, 12631, 21638, 22935, 692, 304, 277, 269, 630, 328, 264, 1535, 273, 1341, 476, 280, 815, 476, 10463, 454, 23870, 264, 586, 273, 815, 476, 24423, 692, 304, 278, 269, 630, 328, 264, 1535, 273, 1341, 476, 1556, 343, 1341, 476, 1240, 815, 476, 271, 454, 23870, 264, 586, 273, 1341, 476, 866, 344, 1341, 476, 3445, 815, 476, 271, 692, 304, 279, 269, 630, 328, 1040, 1535, 273, 3852, 496, 1109, 15512, 382, 486, 382, 496, 476, 1015, 11027, 21638, 8975, 363, 1341, 476, 2641, 815, 476, 271, 454, 23870, 1040, 586, 273, 16061, 19050, 382, 497, 476, 276, 11027, 21638, 22935, 1341, 476, 277, 815, 476, 271, 692, 304, 280, 269, 630, 328, 264, 476, 273, 343, 273, 1341, 1535, 16061, 382, 486, 382, 496, 476, 272, 815, 476, 271, 454, 23870, 264, 476, 273, 344, 273, 1341, 476, 274, 344, 1341, 476, 272, 815, 271, 692, 304, 1015, 269, 630, 328, 1040, 476, 273, 343, 273, 1341, 476, 1724, 343, 1341, 476, 2641, 815, 476, 271, 454, 23870, 1040, 476, 273, 344, 273, 1341, 476, 1556, 344, 1341, 476, 1691, 815, 476, 271, 692, 291, 3925, 630, 1556, 16061, 19050, 382, 497, 476, 1428, 2567, 769, 1142, 540, 891, 2055, 267, 1079, 4834, 630, 296, 264, 543, 630, 2862, 264, 616, 2016, 269, 1411, 723, 547, 4194, 1312, 519, 4834, 543, 2285, 519, 2626, 563, 5416, 264, 1403, 1535, 284, 344, 610, 1100, 6935, 666, 581, 3964, 563, 6357, 264, 1403, 1535, 285, 344, 454, 6262, 264, 1403, 1535, 283, 344, 454, 5560, 264, 1403, 1535, 15512, 382, 487, 8975, 363, 344, 454, 16216, 264, 1403, 1535, 15512, 382, 487, 11366, 344, 692, 304, 1556, 269, 630, 296, 264, 1535, 274, 16061, 19050, 382, 497, 476, 1321, 16061, 19050, 382, 497, 476, 14530, 280, 815, 476, 271, 454, 263, 2862, 264, 586, 273, 16061, 19050, 382, 497, 476, 2641, 16061, 19050, 382, 497, 476, 1911, 815, 476, 271, 692, 304, 1321, 269, 594, 269, 476, 1321, 343, 273, 3852, 496, 1109, 15512, 382, 486, 382, 496, 476, 278, 11027, 21638, 8975, 363, 1341, 476, 272, 815, 476, 271, 454, 2862, 269, 586, 273, 394, 496, 1109, 266, 476, 2537, 11027, 21638, 22935, 1341, 476, 15171, 815, 476, 271, 692, 304, 1724, 269, 630, 296, 264, 1535, 273, 1341, 476, 280, 343, 16061, 19050, 382, 497, 476, 7367, 815, 476, 271, 454, 263, 2862, 264, 476, 1321, 344, 273, 1341, 476, 1626, 344, 1341, 476, 275, 815, 476, 271, 692, 304, 1691, 269, 630, 296, 264, 1535, 273, 16061, 19050, 382, 497, 1535, 16061, 19050, 382, 497, 476, 13975, 815, 476, 271, 454, 263, 2862, 264, 586, 273, 16061, 19050, 382, 497, 476, 4029, 344, 1341, 476, 13301, 815, 476, 271, 692, 304, 1428, 269, 630, 296, 264, 476, 273, 343, 273, 16061, 19050, 382, 497, 476, 279, 343, 16061, 19050, 382, 497, 476, 2190, 815, 476, 271, 454, 263, 2862, 264, 476, 280, 344, 273, 16061, 19050, 382, 497, 476, 1321, 344, 1341, 476, 275, 815, 476, 271, 692, 17445, 687, 630, 1626, 268, 736, 2567, 769, 1142, 2243, 267, 1079, 4834, 630, 296, 264, 543, 630, 2862, 264, 616, 2016, 269, 1411, 1058, 4194, 1312, 4834, 543, 1665, 519, 3617, 2626, 563, 5416, 264, 1403, 1535, 3436, 586, 454, 6357, 264, 1403, 1535, 16061, 382, 487, 8975, 363, 586, 454, 6262, 264, 1403, 1535, 2999, 586, 454, 5560, 264, 1403, 1535, 16061, 382, 487, 11366, 586, 454, 16216, 264, 1403, 815, 586, 610, 519, 2078, 3112, 581, 3964, 780, 304, 1626, 269, 594, 269, 476, 273, 343, 394, 496, 11054, 16061, 19050, 382, 497, 476, 278, 343, 1341, 476, 276, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 274, 344, 1341, 476, 273, 815, 476, 271, 692, 304, 1704, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1839, 343, 1341, 476, 14444, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 3066, 344, 1341, 476, 13975, 815, 476, 271, 692, 304, 1240, 269, 594, 269, 1535, 394, 496, 11054, 1341, 476, 736, 343, 1341, 476, 9834, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 1341, 476, 1428, 344, 1341, 476, 6321, 815, 476, 271, 692, 304, 866, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 274, 343, 16061, 19050, 382, 497, 476, 2412, 815, 476, 271, 454, 2862, 269, 476, 273, 344, 394, 496, 11054, 1341, 476, 1556, 344, 1341, 476, 1428, 815, 476, 271, 692, 304, 736, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1626, 343, 1341, 476, 5038, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1691, 344, 1341, 476, 4366, 815, 476, 271, 692, 10298, 476, 272, 546, 476, 273, 513, 476, 274, 536, 476, 275, 552, 476, 276, 552, 476, 277, 524, 476, 278, 513, 476, 279, 513, 476, 280, 552, 476, 1015, 552, 476, 1556, 546, 476, 1321, 536, 476, 1724, 513, 476, 1691, 552, 476, 1428, 513, 476, 1626, 552, 476, 1704, 524, 476, 1240, 546, 476, 866, 552, 476, 736, 536, 692, 1012, 14174, 17988, 692, 2162, 1215, 547, 4194, 13392, 4834, 2055, 2496, 763, 2409, 585, 6061, 13392, 3830, 2055, 616, 3177, 538, 519, 2376, 269, 0, 258, 11822, 26682, 8447, 3163, 11908, 13437, 11621, 1384, 1012, 19809, 593, 6249, 281, 834, 26594, 26682, 8447, 3163, 11908, 13437, 11621, 281, 257, 1765, 19809, 13973, 1384, 26594, 26682, 8447, 3163, 11908, 13437, 11621, 912, 306, 4916, 278, 320, 269, 10576, 1648, 14759, 538, 513, 1062, 630, 324, 3052, 269, 8654, 513, 6474, 269, 590, 4916, 279, 324, 269, 12433, 5666, 540, 960, 543, 7344, 5413, 1210, 2241, 6191, 269, 23095, 676, 281, 2441, 344, 667, 542, 6754, 3429, 6019, 4400, 3427, 28543, 267, 11908, 692, 1432, 568, 513, 2241, 3684, 888, 288, 2241, 3684, 568, 513, 3684, 602, 1281, 960, 609, 1152, 835, 3350, 540, 602, 3684, 269, 1703, 616, 476, 277, 2596, 2241, 6191, 281, 476, 272, 264, 21115, 342, 476, 273, 264, 22676, 476, 274, 264, 769, 743, 1441, 1773, 2033, 476, 275, 264, 654, 8354, 476, 276, 264, 17240, 2917, 476, 277, 264, 24747, 1299, 16547, 548, 692, 8867, 951, 589, 22676, 568, 513, 3046, 602, 568, 1863, 547, 22141, 1472, 513, 6378, 1448, 563, 2467, 616, 1614, 2010, 540, 682, 951, 1384, 8867, 951, 281, 1018, 789, 798, 1862, 7102, 1907, 602, 17913, 1945, 10690, 568, 513, 11573, 269, 589, 11573, 568, 606, 6186, 602, 9187, 1824, 630, 528, 7140, 264, 1996, 513, 3505, 322, 5300, 630, 528, 1448, 1040, 6056, 540, 519, 804, 1177, 1439, 540, 513, 17200, 602, 596, 946, 547, 533, 787, 513, 17970, 10690, 269, 898, 781, 513, 11573, 269, 898, 781, 513, 17208, 6186, 602, 26520, 1996, 513, 1448, 593, 513, 2627, 269, 1306, 596, 17967, 519, 6186, 621, 17913, 519, 17970, 689, 519, 2627, 780, 5575, 4147, 22676, 589, 1294, 1606, 1177, 568, 606, 1383, 563, 1103, 513, 1101, 1362, 11573, 267, 519, 20991, 2476, 689, 519, 3505, 322, 5300, 596, 4019, 519, 3196, 267, 519, 4443, 621, 568, 547, 12740, 909, 3615, 269, 634, 6251, 547, 519, 3505, 322, 5300, 596, 4019, 519, 3196, 267, 519, 811, 4674, 596, 991, 547, 12740, 909, 519, 4187, 269, 634, 4187, 4422, 538, 519, 6587, 4287, 540, 519, 4674, 269, 1403, 513, 1268, 24864, 1524, 267, 519, 4187, 4422, 909, 267, 543, 952, 513, 1268, 24864, 909, 267, 519, 4187, 4422, 1524, 780, 13553, 4147, 22676, 589, 8868, 3046, 992, 568, 606, 1383, 269, 589, 2034, 1362, 11573, 568, 513, 11573, 538, 799, 519, 4187, 568, 4092, 1063, 519, 3505, 322, 5300, 543, 519, 4674, 269, 589, 2034, 1362, 11573, 2141, 4679, 519, 4674, 3196, 269, 634, 3505, 322, 5300, 568, 519, 8868, 543, 4187, 538, 513, 8868, 321, 5535, 568, 519, 1843, 1373, 6410, 1247, 519, 1268, 11319, 519, 8868, 321, 5535, 7727, 519, 4674, 780, 23612, 4147, 22676, 1323, 1383, 568, 513, 1268, 781, 6186, 563, 288, 3791, 1362, 11573, 2141, 11081, 519, 4674, 3196, 269, 634, 4674, 568, 1063, 519, 4187, 543, 519, 3505, 322, 5300, 269, 634, 3505, 322, 5300, 568, 519, 23969, 267, 519, 22833, 10134, 1683, 519, 4187, 543, 519, 4674, 568, 8726, 568, 1373, 24850, 269, 634, 3845, 689, 519, 23969, 547, 519, 22833, 10134, 568, 519, 4674, 6186, 543, 519, 3845, 689, 519, 23969, 547, 8726, 835, 568, 3843, 547, 12740, 568, 519, 4187, 6186, 269, 589, 3791, 1362, 11573, 568, 2141, 513, 19319, 780, 23005, 1456, 22676, 4147, 674, 4041, 14329, 454, 6440, 5575, 4147, 22676, 910, 27975, 322, 5300, 538, 519, 4099, 5788, 13553, 4147, 22676, 268, 20509, 538, 519, 4099, 5788, 23612, 4147, 22676, 910, 20306, 677, 538, 519, 4099, 692, 8196, 519, 3615, 593, 713, 2985, 547, 1397, 1142, 540, 519, 2157, 540, 682, 951, 780, 29613, 531, 20996, 1520, 2779, 720, 540, 513, 22676, 454, 763, 4998, 7344, 5413, 630, 296, 7246, 264, 585, 1022, 2241, 3684, 666, 581, 7229, 676, 12270, 519, 3403, 3845, 676, 519, 3977, 3845, 269, 1280, 513, 11573, 267, 519, 3403, 3845, 568, 519, 3259, 540, 519, 3403, 6186, 543, 519, 3977, 3845, 568, 519, 3259, 540, 519, 3977, 6186, 269, 26758, 20996, 1520, 2779, 720, 815, 3259, 540, 3403, 6186, 630, 332, 264, 3259, 540, 3977, 6186, 630, 332, 264, 594, 7246, 815, 6931, 700, 719, 692, 4131, 781, 6657, 281, 3627, 3096, 513, 11573, 547, 12740, 513, 2597, 540, 476, 276, 715, 269, 634, 3403, 3845, 630, 3602, 519, 3403, 3196, 568, 4294, 264, 568, 476, 2004, 4699, 269, 634, 3977, 3845, 630, 3602, 519, 3977, 3196, 568, 4294, 264, 568, 476, 276, 4699, 269, 1548, 568, 519, 4998, 7344, 5413, 540, 519, 11573, 286, 594, 7246, 815, 3403, 3845, 540, 11573, 3977, 3845, 5700, 18452, 3845, 815, 476, 2004, 4699, 282, 3977, 3845, 815, 476, 276, 4699, 5590, 1575, 594, 7246, 815, 476, 2004, 4699, 476, 276, 4699, 16534, 594, 7246, 815, 476, 1015, 692, 4131, 781, 6657, 281, 20999, 3096, 513, 5102, 2917, 1062, 547, 6318, 513, 19943, 689, 513, 1134, 269, 1261, 27605, 1010, 1439, 593, 519, 18052, 476, 276, 544, 543, 519, 19943, 568, 6659, 476, 273, 269, 276, 544, 269, 1548, 568, 519, 4998, 7344, 5413, 540, 713, 5102, 2917, 1062, 286, 594, 7246, 284, 3403, 3845, 3977, 3845, 5700, 18452, 3845, 815, 476, 276, 544, 282, 3977, 3845, 815, 476, 273, 269, 276, 544, 5590, 1575, 594, 7246, 815, 476, 276, 4699, 476, 273, 269, 276, 4699, 16534, 594, 7246, 815, 476, 273, 692, 303, 592, 18436, 589, 5102, 2917, 568, 513, 9240, 3437, 8868, 609, 513, 18052, 267, 5832, 267, 610, 10814, 4881, 2059, 513, 9240, 913, 269, 589, 1940, 762, 5102, 2917, 568, 835, 1141, 519, 1439, 540, 519, 18052, 568, 6378, 543, 519, 8868, 568, 1863, 547, 1847, 269, 589, 6378, 5102, 2917, 2242, 1152, 519, 4287, 540, 707, 3196, 269, 1401, 269, 9206, 335, 1961, 692, 28343, 1299, 570, 871, 548, 17240, 2917, 589, 3625, 543, 10994, 5102, 2917, 5161, 540, 1940, 762, 543, 6378, 5102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1906, 7643, 547, 1847, 610, 18419, 621, 780, 1262, 3721, 476, 276, 281, 5487, 684, 4221, 667, 20462, 514, 645, 4900, 518, 4373, 8340, 519, 667, 20462, 514, 645, 4900, 518, 12835, 1851, 519, 1082, 1866, 593, 707, 1753, 5496, 4433, 1040, 898, 5654, 899, 513, 18935, 1242, 18107, 514, 682, 12686, 856, 540, 519, 5836, 6329, 780, 265, 2878, 307, 777, 1262, 519, 667, 20462, 514, 645, 4900, 518, 12835, 547, 1930, 519, 813, 780, 1262, 3721, 476, 277, 281, 4197, 9978, 32522, 1369, 667, 20462, 514, 645, 4900, 518, 4373, 3086, 602, 667, 20462, 514, 645, 4900, 518, 568, 1930, 267, 1577, 781, 1451, 875, 547, 6330, 3330, 519, 813, 1384, 265, 2878, 11754, 816, 4446, 5093, 7392, 3896, 9607, 610, 3406, 14511, 1934, 630, 324, 3052, 1421, 1496, 4178, 269, 2998, 4355, 2593, 28488, 10674, 2517, 4178, 269, 2998, 4355, 2593, 264, 1916, 265, 2878, 12988, 270, 2690, 1189, 1809, 27971, 5093, 2422, 891, 21985, 547, 979, 1394, 630, 283, 268, 264, 610, 4464, 630, 285, 9984, 12445, 1686, 563, 265, 2878, 24464, 340, 29502, 5093, 8422, 8880, 3515, 20465, 2099, 519, 10624, 267, 1141, 596, 666, 1265, 3681, 899, 3883, 12201, 267, 3778, 267, 23994, 267, 3092, 563, 265, 2878, 15507, 5422, 27748, 5093, 8437, 519, 3172, 4328, 4837, 20465, 547, 20006, 513, 3406, 13214, 780, 1262, 3721, 476, 278, 281, 9373, 532, 19534, 17372, 525, 610, 9612, 2372, 7685, 4373, 2414, 3643, 513, 1808, 3896, 610, 1685, 513, 3406, 1384, 265, 2878, 13911, 1262, 1018, 596, 1616, 547, 3406, 585, 610, 519, 15745, 2232, 1210, 519, 13691, 912, 453, 266, 22843, 10569, 281, 24135, 1367, 5022, 547, 1106, 1913, 563, 453, 266, 6611, 3046, 281, 23453, 5624, 1063, 1913, 563, 453, 266, 645, 2931, 10628, 1883, 281, 1546, 8541, 3197, 563, 453, 266, 9373, 1883, 630, 2567, 4427, 2466, 707, 3403, 563, 265, 2878, 8505, 334, 10687, 10968, 10372, 4995, 667, 20462, 514, 645, 4900, 518, 949, 2709, 6700, 7270, 610, 19707, 1759, 593, 707, 3403, 780, 1262, 3721, 476, 279, 281, 645, 4900, 532, 15750, 2572, 4373, 5629, 596, 4312, 9411, 513, 4570, 2232, 610, 22646, 585, 1945, 1384, 265, 2878, 299, 1933, 532, 13525, 4995, 13772, 585, 18343, 14743, 610, 3356, 13063, 10834, 2985, 15205, 563, 265, 2878, 17273, 9115, 4995, 2480, 2651, 19794, 1210, 1079, 1922, 5424, 2220, 6346, 547, 19584, 2546, 1543, 563, 265, 2878, 313, 334, 4040, 4995, 18237, 577, 2987, 270, 719, 609, 14853, 543, 4994, 9416, 547, 24680, 538, 270, 719, 593, 1357, 335, 1137, 780, 1262, 21206, 9669, 1299, 570, 9581, 16001, 265, 2878, 9349, 12201, 4995, 16440, 4749, 10272, 4609, 585, 2653, 1569, 3842, 519, 32386, 3436, 3883, 12201, 563, 265, 2878, 7468, 10675, 25042, 4995, 2037, 762, 1651, 1758, 17010, 19855, 676, 2469, 547, 32386, 3436, 17721, 25042, 563, 265, 2878, 306, 9116, 902, 4995, 11426, 1125, 667, 20462, 514, 645, 4900, 518, 7375, 896, 32386, 3436, 23994, 780, 6546, 781, 621, 256, 1411, 4312, 6707, 1031, 667, 20462, 514, 645, 4900, 518, 585, 15692, 269, 4793, 3054, 593, 519, 1394, 630, 604, 596, 917, 1018, 602, 1797, 25631, 2060, 2259, 267, 596, 3513, 1831, 21295, 538, 10188, 707, 3926, 543, 3695, 519, 5318, 2228, 7122, 780, 8855, 267, 972, 781, 2141, 811, 547, 3605, 543, 1451, 593, 713, 4241, 4541, 1572, 3047, 269, 5213, 1405, 19292, 547, 2307, 2055, 610, 3343, 5583, 8164, 2877, 269, 8080, 1586, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 667, 20462, 514, 645, 4900, 518, 585, 15692, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 3848, 476, 1321, 281, 6816, 18877, 910, 4045, 539, 676, 590, 4721, 543, 4425, 1846, 692, 5331, 2713, 593, 606, 6532, 1141, 3388, 596, 991, 1590, 581, 4547, 547, 596, 676, 10935, 256, 901, 568, 1018, 1272, 568, 899, 585, 1082, 1004, 945, 2661, 538, 6532, 2950, 1472, 519, 1158, 269, 4014, 789, 949, 3068, 2189, 2591, 267, 891, 2950, 616, 1419, 5702, 4448, 998, 17535, 4123, 543, 6283, 5121, 269, 2913, 781, 2263, 875, 9635, 543, 16996, 948, 1832, 6532, 619, 13859, 609, 5370, 543, 2533, 1247, 849, 8220, 873, 547, 519, 1964, 540, 519, 1158, 780, 16908, 593, 606, 6532, 666, 581, 3833, 1114, 689, 22163, 2127, 269, 1280, 26784, 267, 3478, 972, 1522, 2154, 513, 7542, 787, 11878, 610, 8184, 2094, 6117, 3884, 1405, 606, 4781, 269, 4495, 12306, 267, 7264, 7048, 8185, 593, 16996, 543, 9635, 585, 24317, 3688, 971, 607, 1426, 267, 7802, 267, 11647, 267, 4070, 2326, 267, 4492, 267, 543, 1256, 6472, 269, 2368, 10195, 723, 1507, 29032, 610, 4262, 30350, 13279, 1932, 267, 855, 1034, 18535, 1869, 7575, 3842, 25825, 780, 3086, 1577, 781, 2911, 827, 3549, 3238, 538, 713, 1826, 540, 11288, 269, 3807, 899, 1022, 824, 1870, 267, 789, 2832, 547, 5838, 741, 2472, 7561, 693, 10257, 5777, 269, 6884, 267, 1498, 267, 1978, 3344, 540, 741, 4238, 1810, 1405, 5447, 1134, 609, 741, 4295, 5692, 269, 1879, 713, 4523, 267, 789, 1522, 6430, 547, 6133, 1055, 1346, 15523, 865, 789, 666, 1445, 593, 1018, 789, 798, 1655, 269, 2334, 781, 4010, 1018, 5949, 950, 2372, 611, 270, 20877, 923, 4956, 547, 6133, 922, 2372, 611, 2750, 12304, 3791, 18407, 17825, 630, 274, 12195, 264, 1870, 547, 631, 1638, 523, 6828, 13456, 1421, 1776, 2754, 21751, 538, 17825, 543, 6283, 269, 1635, 3257, 865, 267, 1312, 3906, 1223, 13404, 593, 7674, 741, 5561, 1732, 780, 3383, 1946, 1281, 782, 713, 2339, 585, 938, 1650, 827, 6532, 2950, 286, 4270, 267, 1589, 827, 621, 713, 1259, 281, 952, 596, 5030, 593, 606, 9678, 6532, 267, 9327, 1405, 596, 1616, 6325, 695, 26802, 8744, 707, 5172, 16152, 267, 9162, 267, 2835, 267, 543, 11418, 286, 18227, 891, 3761, 11800, 4881, 12347, 5849, 602, 6532, 619, 2972, 2147, 7036, 7891, 1336, 11992, 269, 9578, 267, 2834, 4296, 1063, 10195, 543, 3677, 2244, 332, 13293, 6536, 2686, 5385, 267, 9235, 267, 543, 2804, 1646, 780, 3719, 4509, 2178, 6402, 3085, 1405, 1175, 4324, 6800, 282, 4213, 8853, 1932, 269, 5994, 1373, 513, 2199, 4558, 26782, 13461, 593, 2834, 5838, 625, 540, 4195, 3132, 610, 2679, 7727, 269, 3117, 11962, 6928, 906, 1611, 7864, 6006, 8083, 543, 18668, 5561, 269, 1656, 3314, 267, 1169, 4216, 796, 2903, 539, 4564, 4747, 585, 2576, 1107, 2436, 621, 781, 519, 23071, 540, 519, 6077, 267, 546, 1442, 32305, 267, 610, 6300, 26283, 780, 1103, 5758, 267, 6532, 2950, 4096, 8185, 593, 7286, 6283, 547, 1569, 2200, 543, 1921, 609, 519, 9962, 1158, 269, 14992, 1404, 2629, 5107, 538, 4180, 5347, 6765, 540, 1898, 21113, 543, 5807, 2804, 13884, 269, 3414, 7580, 3664, 899, 9513, 1875, 2275, 648, 7221, 267, 10909, 666, 7794, 741, 7158, 1369, 1808, 6990, 267, 6038, 30364, 3025, 3238, 269, 1306, 649, 3136, 3695, 11174, 5708, 1305, 538, 2197, 19824, 267, 1620, 519, 2956, 540, 25872, 786, 2611, 513, 4105, 6249, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5226, 611, 270, 20877, 923, 267, 5549, 269, 9307, 602, 621, 814, 4421, 922, 2372, 611, 2750, 12304, 3791, 18407, 17825, 630, 274, 12195, 264, 1870, 585, 1269, 2412, 2929, 547, 631, 1638, 523, 6828, 13456, 1421, 835, 540, 4516, 779, 4102, 17825, 7426, 269, 2372, 611, 2750, 12304, 26082, 631, 1638, 523, 6828, 779, 3060, 540, 10446, 13234, 4213, 602, 1683, 513, 3376, 2039, 540, 3028, 17008, 1519, 1447, 31032, 2389, 30638, 2903, 267, 14903, 2903, 267, 16292, 327, 17639, 267, 17825, 267, 1098, 2903, 267, 16136, 1242, 543, 7463, 688, 30389, 6283, 269, 634, 2820, 652, 8132, 7028, 2372, 611, 779, 3964, 4640, 547, 11126, 922, 1587, 543, 3028, 14769, 543, 1902, 538, 1346, 2694, 540, 922, 1870, 602, 17108, 922, 2990, 607, 513, 6725, 3435, 7649, 543, 1711, 811, 1871, 585, 922, 7218, 543, 824, 8639, 269, 2372, 611, 5170, 547, 1378, 543, 7500, 922, 538, 27440, 6283, 543, 17825, 6498, 267, 2372, 611, 18815, 7896, 267, 543, 922, 1854, 9535, 6498, 267, 13660, 21622, 6807, 13255, 563, 19177, 628, 10116, 5665, 2164, 2799, 5097, 1813, 547, 4320, 2208, 543, 5676, 1441, 8907, 543, 14769, 2359, 269, 1452, 3655, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3674, 1633, 18877, 257, 607, 851, 540, 834, 16300, 16337, 1315, 17151, 18887, 1315, 13474, 5020, 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, 19088, 1108, 540, 9147, 5527, 692, 8893, 476, 272, 281, 4985, 547, 9147, 12266, 27801, 338, 692, 5970, 596, 2479, 9289, 875, 1004, 1279, 3516, 6045, 1919, 899, 17500, 267, 17160, 267, 610, 2648, 286, 4270, 267, 789, 2813, 2984, 827, 10971, 543, 15831, 525, 945, 6417, 891, 20825, 256, 901, 568, 1018, 649, 1289, 13299, 269, 4653, 267, 1577, 781, 2263, 519, 4241, 13299, 540, 9147, 5527, 780, 26123, 5527, 729, 1753, 547, 1082, 4277, 4978, 269, 1358, 5156, 602, 972, 941, 1114, 10971, 543, 15831, 525, 3743, 585, 3388, 8345, 1472, 873, 910, 2436, 621, 729, 519, 3141, 8375, 267, 519, 20407, 14700, 267, 610, 1256, 27638, 256, 1635, 1620, 741, 13299, 267, 649, 1205, 513, 19214, 883, 741, 1259, 540, 1272, 543, 2418, 780, 8893, 476, 273, 281, 5808, 3657, 519, 29331, 543, 31001, 525, 2496, 5331, 2348, 7366, 540, 10971, 543, 15831, 525, 267, 1142, 609, 2189, 7060, 543, 14789, 256, 2334, 781, 4010, 1018, 519, 9147, 21072, 1705, 269, 589, 25976, 630, 534, 1278, 2012, 585, 513, 5601, 610, 15831, 264, 1522, 1413, 899, 513, 1480, 267, 3662, 267, 610, 1945, 538, 1063, 269, 1280, 1383, 267, 645, 770, 564, 1185, 519, 2212, 540, 513, 3032, 1247, 670, 987, 528, 1185, 519, 2212, 540, 513, 10800, 780, 4322, 10143, 7919, 14201, 1405, 1175, 16304, 856, 538, 519, 12269, 282, 789, 5030, 1318, 1934, 593, 3047, 855, 1223, 849, 3643, 824, 4025, 538, 519, 7122, 269, 3962, 25976, 1185, 2027, 4408, 543, 10643, 267, 1454, 899, 938, 7022, 814, 606, 4013, 2012, 543, 2140, 269, 2290, 3579, 3364, 827, 891, 24587, 568, 602, 930, 3323, 1055, 607, 2831, 610, 3615, 1354, 4742, 3532, 5515, 2439, 8893, 476, 274, 281, 7316, 9894, 519, 29331, 14970, 2496, 4407, 1034, 3425, 759, 3660, 538, 14252, 543, 4872, 267, 519, 10971, 1572, 4025, 899, 10239, 267, 24301, 267, 610, 519, 6607, 741, 5321, 269, 2368, 1256, 5030, 3330, 1004, 610, 2831, 256, 898, 781, 1271, 547, 3314, 602, 891, 6753, 5749, 1405, 8209, 1141, 649, 9364, 1265, 2147, 7068, 2221, 269, 2991, 782, 267, 713, 568, 13299, 2439, 8893, 476, 275, 281, 4208, 21518, 1703, 1924, 3509, 29331, 2496, 763, 21072, 4718, 9059, 10876, 267, 543, 1169, 2680, 1185, 513, 16750, 2014, 3297, 621, 269, 1677, 2491, 891, 4755, 902, 267, 789, 11827, 3875, 10971, 543, 15831, 525, 267, 5316, 5024, 1808, 5107, 547, 1142, 269, 3683, 942, 267, 1007, 10971, 7902, 998, 10659, 540, 4540, 3283, 610, 3274, 1317, 2576, 4941, 547, 8956, 513, 1880, 2460, 540, 2470, 610, 1480, 1995, 780, 8893, 476, 276, 281, 681, 592, 619, 543, 15215, 692, 4942, 21198, 338, 5129, 513, 1713, 1909, 538, 8220, 1455, 11570, 609, 519, 10143, 1158, 269, 1306, 1312, 2797, 3401, 543, 1164, 20577, 267, 943, 21198, 338, 5340, 3909, 18428, 267, 3710, 17633, 267, 543, 24458, 4708, 1369, 2486, 269, 4256, 6392, 3357, 2047, 689, 519, 10971, 2933, 2439, 8893, 476, 277, 281, 18227, 18696, 609, 8575, 520, 692, 30538, 520, 3090, 1242, 10103, 267, 5168, 267, 5126, 267, 543, 3666, 538, 519, 7122, 269, 24367, 8575, 520, 5921, 5329, 1434, 3347, 609, 1866, 543, 2713, 2687, 547, 5837, 3652, 269, 1403, 8575, 520, 729, 22841, 267, 14784, 1223 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 540, 3196, 2877, 4287, 540, 3196, 543, 3845, 936, 799, 3196, 6411, 26682, 1684, 4518, 476, 16318, 23207, 10414, 9540, 3196, 25116, 936, 513, 1804, 3845, 1804, 3196, 936, 2110, 3845, 6145, 16116, 2835, 909, 835, 693, 513, 942, 547, 1847, 873, 1107, 339, 8565, 1055, 811, 3845, 855, 1447, 3196, 23207, 20028, 269, 10414, 568, 513, 7903, 610, 513, 7485, 593, 606, 1843, 563, 2005, 14439, 3403, 4229, 25116, 593, 543, 3977, 4229, 25116, 676, 6191, 543, 11828, 3403, 960, 543, 3977, 960, 269, 7335, 15613, 2985, 476, 275, 1704, 5681, 3405, 1944, 1306, 596, 1224, 2347, 519, 3349, 585, 1142, 3684, 269, 1215, 1454, 3196, 568, 2877, 547, 2347, 476, 278, 2537, 297, 540, 960, 936, 513, 3845, 540, 476, 25248, 332, 563, 2467, 616, 3670, 2241, 6191, 269, 744, 8025, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 269, 1411, 666, 5173, 960, 676, 14921, 519, 3196, 25116, 593, 519, 1843, 2053, 519, 3845, 519, 1843, 7575, 563, 1220, 808, 540, 960, 2944, 538, 476, 736, 521, 610, 476, 2004, 808, 540, 960, 2944, 538, 476, 275, 521, 269, 26682, 1100, 2339, 875, 2241, 610, 1950, 948, 1004, 1205, 1919, 2944, 1169, 1554, 1548, 1772, 4518, 269, 6206, 16301, 4518, 5295, 20996, 22436, 563, 5591, 2339, 875, 1454, 3196, 596, 11851, 960, 568, 711, 2944, 8259, 606, 1843, 2242, 2990, 610, 5163, 269, 25670, 9046, 8018, 269, 8447, 2257, 476, 1691, 476, 272, 960, 543, 1379, 563, 7197, 8281, 539, 24436, 540, 634, 13600, 269, 3848, 476, 1691, 4518, 5295, 543, 26682, 476, 15221, 4518, 543, 5295, 4518, 568, 519, 1587, 540, 3196, 543, 3845, 269, 4518, 543, 1379, 4976, 2626, 1883, 2168, 2257, 563, 19152, 4229, 25116, 593, 543, 3977, 4229, 25116, 676, 6191, 616, 4857, 543, 3403, 960, 543, 3977, 960, 616, 5941, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 269, 589, 5173, 519, 2179, 540, 960, 602, 678, 19563, 1705, 593, 519, 1286, 563, 13480, 5295, 543, 26682, 8791, 476, 273, 269, 476, 1691, 476, 273, 960, 543, 1379, 4976, 2626, 1883, 269, 5295, 568, 519, 2557, 693, 799, 960, 568, 2944, 610, 519, 2179, 540, 960, 2944, 538, 513, 1770, 540, 942, 563, 288, 632, 23807, 480, 730, 3905, 2011, 17891, 22179, 513, 2698, 540, 476, 8517, 271, 562, 269, 476, 25148, 32516, 476, 1691, 4518, 543, 11822, 26682, 8682, 6744, 476, 272, 269, 1215, 1454, 960, 1281, 513, 476, 1839, 301, 3196, 798, 547, 12740, 513, 1494, 1540, 2030, 689, 519, 6989, 547, 513, 15808, 476, 1428, 332, 1164, 563, 6826, 6297, 4287, 540, 4294, 2121, 3196, 543, 4287, 540, 5163, 1590, 581, 1482, 269, 634, 3845, 998, 799, 519, 3403, 3196, 6411, 538, 513, 3684, 269, 2806, 322, 10632, 1280, 15206, 563, 16449, 560, 873, 568, 4466, 856, 519, 9904, 269, 4888, 14684, 2207, 26395, 312, 4518, 543, 26682, 4518, 543, 26682, 3848, 5741, 8018, 476, 272, 476, 272, 269, 1215, 3657, 4518, 18452, 543, 4518, 19243, 13565, 585, 513, 10724, 563, 20091, 15613, 2985, 476, 275, 1704, 5681, 3405, 1944, 1306, 596, 1224, 2347, 519, 3349, 585, 1142, 3684, 269, 476, 16318, 4518, 543, 26682, 269, 9906, 786, 1451, 782, 519, 2010, 540, 2241, 6191, 543, 875, 789, 1847, 563, 1432, 568, 519, 3830, 585, 3196, 269, 1358, 961, 1265, 856, 18334, 607, 1134, 607, 2689, 1732, 269, 3848, 476, 1691, 4518, 5295, 1656, 26682, 476, 1691, 476, 272, 4518, 1656, 5295, 4518, 476, 272, 332, 1379, 1379, 568, 519, 2557, 540, 960, 2944, 538, 513, 563, 6637, 476, 15094, 1107, 16544, 540, 20996, 31515, 269, 8307, 835, 540, 519, 3670, 1138, 268, 269, 3848, 476, 1724, 8791, 476, 272, 4518, 5295, 1656, 26682, 8018, 12226, 563, 6637, 476, 1691, 4518, 5295, 543, 26682, 5530, 6651, 269, 654, 674, 323, 4518, 568, 2944, 950, 513, 3196, 7575, 606, 1843, 936, 513, 3845, 269, 589, 3625, 540, 3574, 1789, 4699, 593, 1142, 2427, 814, 513, 2527, 540, 476, 2767, 575, 563, 18744, 835, 540, 519, 3670, 1138, 268, 921, 6191, 1590, 581, 5018, 269, 1411, 616, 547, 2347, 713, 585, 6780, 269, 15618, 693, 14349, 5988, 476, 866, 628, 476, 1708, 273, 476, 4962, 274, 277, 1240, 7537, 563, 15697, 7732, 3848, 476, 1691, 4518, 5295, 1656, 26682, 6478, 3772, 8382, 6206, 3848, 476, 1691, 4518, 5295, 1656, 26682, 6478, 3772, 8382, 6206, 1306, 6444, 7045, 607, 609, 8897, 607, 1995, 827, 3992, 31768, 607, 5578, 2685, 607, 4308, 666, 581, 20335, 676, 1175, 10992, 856, 513, 2835, 3184, 476, 1691, 960, 1379, 543, 6191, 2262, 3772, 2626, 1883, 1287, 621, 568, 711, 2047, 2944, 596, 1223, 269, 1411, 11851, 513, 7299, 3196, 540, 476, 7761, 301, 547, 12740, 513, 4216, 547, 513, 4463, 540, 476, 273, 332, 538, 513, 269, 4518, 1379, 1648, 2689, 6656, 2016, 538, 1362, 563, 288, 3684, 1500, 909, 540, 513, 4999, 593, 2241, 6191, 568, 513, 7623, 3684, 269, 4841, 786, 3313, 3347, 1851, 3196, 2527, 543, 5163, 269, 8791, 476, 16318, 4518, 543, 26682, 3817, 476, 275, 1704, 22213, 901, 3296, 6257, 875, 6191, 1689, 4229, 547, 1118, 960, 4443, 547, 798, 563, 763, 3196, 25116, 676, 513, 3684, 269, 12433, 5666, 540, 960, 543, 7344, 5413, 1210, 2241, 6191, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 563, 6637, 476, 1691, 13480, 5295, 543, 26682, 8791, 476, 16318, 4518, 543, 269, 9351, 1656, 32309, 2986, 476, 273, 323, 25609, 8018, 21584, 22704, 1656, 32309, 2986, 476, 273, 323, 25609, 8018, 21584, 269, 769, 743, 1441, 7077, 11573, 8868, 543, 563, 16318, 4518, 543, 26682, 269, 4518, 543, 1379, 2979, 538, 2257, 269, 8382, 519, 1739, 2055, 563, 16215, 476, 274, 3848, 476, 1691, 4518, 5295, 26682, 4530, 5623, 8382, 269, 21414, 799, 540, 519, 1739, 3871, 3322, 811, 1379, 269, 1284, 2322, 593, 513, 8273, 2599, 476, 9340, 272, 333, 855, 519, 7047, 1869, 7575, 4464, 476, 2420, 332, 563, 15430, 1041, 3211, 585, 2596, 5759, 269, 6732, 7732, 476, 1691, 476, 273, 5623, 1656, 22365, 7593, 8382, 6206, 22365, 7593, 7869, 538, 519, 31071, 269, 14674, 513, 3510, 538, 799, 960, 568, 2944, 593, 606, 1843, 563, 6637, 476, 1691, 4518, 5295, 26682, 4530, 5623, 8382, 6206, 269, 901, 960, 1648, 543, 1379, 4976, 2626, 1883, 616, 711, 1175, 1776, 10145, 4976, 269, 22365, 7593, 1565, 681, 299, 568, 606, 1858, 540, 3684, 1565, 7255, 609, 875, 10995, 8069, 11129, 547, 1491, 3527, 538, 606, 1604, 538, 1931, 547, 11694, 519, 10206, 540, 19469, 8007, 563, 3725, 514, 7593, 1565, 568, 835, 540, 1614, 2596, 269, 3848, 476, 1691, 8791, 476, 274, 269, 3848, 476, 1691, 960, 1379, 543, 6191, 476, 15221, 960, 543, 1379, 960, 568, 519, 563, 2691, 519, 1820, 6885, 10741, 1826, 538, 513, 2039, 540, 3817, 547, 1820, 269, 1677, 1820, 513, 851, 540, 519, 1433, 476, 272, 269, 589, 2241, 3684, 568, 513, 3684, 602, 1281, 960, 609, 1152, 835, 3350, 563, 1607, 960, 1648, 543, 1379, 4976, 2626, 1883, 616, 711, 1175, 1776, 10145, 4976, 269, 476, 16318, 4518, 543, 26682, 1215, 1684, 26682, 5269, 4518, 31418, 1512, 269, 4518, 543, 1379, 4976, 2626, 1883, 6323, 563, 1607, 1888, 568, 960, 1379, 543, 1648, 269, 1548, 568, 519, 5860, 540, 3327, 8166, 3154, 952, 476, 25171, 277, 575, 26328, 513, 4320, 540, 476, 1911, 16720, 269, 476, 16318, 4518, 543, 26682, 563, 12709, 8018, 476, 1691, 476, 273, 4518, 1656, 5295, 8018, 8382, 6206, 269, 3848, 476, 1691, 4518, 5295, 1656, 26682, 476, 1691, 476, 272, 4518, 1656, 5295, 4518, 476, 272, 332, 1379, 1379, 568, 519, 2557, 540, 960, 2944, 538, 513, 269, 1656, 621, 786, 948, 596, 1118, 519, 1318, 5079, 607, 596, 6300, 585, 707, 1985, 10626, 3915, 563, 6637, 476, 14690, 1107, 14675, 543, 24651, 269, 16301, 538, 713, 1305, 476, 1321, 10724, 269, 8791, 476, 16318, 4518, 543, 26682, 3817, 476, 275, 1704, 22213, 901, 3296, 6257, 875, 6191, 1689, 4229, 547, 1118, 960, 4443, 547, 798, 563, 6637, 476, 15876, 1107, 10263, 540, 31515, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 269, 30579, 6749, 3296, 476, 16318, 476, 275, 563, 3674, 513, 3926, 602, 2242, 513, 3196, 269, 476, 1691, 476, 273, 4518, 1656, 5295, 8018, 8382, 6206, 269, 14419, 1079, 2081, 1379, 666, 581, 2799, 563, 16318, 4518, 1656, 5295, 8018, 8382, 6206, 269, 1656, 621, 786, 948, 596, 1118, 519, 1318, 5079, 607, 596, 6300, 585, 707, 1985, 10626, 3915, 269, 26682, 1684, 4518, 476, 16318, 563, 12749, 2427, 610, 5377, 476, 277, 269, 589, 5173, 519, 2179, 540, 960, 602, 678, 19563, 1705, 593, 519, 1286, 269, 769, 743, 1441, 7077, 530, 8354, 17684, 11573, 8868, 543, 4949, 548, 5102, 2917, 476, 273, 563, 1692, 666, 1210, 513, 3684, 1118, 513, 269, 476, 1691, 476, 273, 4518, 1656, 26682, 476, 272, 269, 3848, 476, 1691, 8791, 476, 15221, 4518, 1656, 5295, 8382, 6206, 563, 24280, 519, 960, 2944, 676, 513, 476, 5325, 562, 3196, 11319, 513, 476, 271, 476, 28276, 4846, 15513, 476, 271, 476, 1839, 544, 1996, 513, 3196, 540, 476, 2537, 562, 269, 0, 15542, 528, 25966, 13038, 31745, 528, 15873, 269, 20668, 596, 666, 1118, 25656, 949, 1331, 519, 16144, 267, 8473, 267, 2338, 610, 16886, 7436, 267, 610, 513, 4216, 585, 2875, 1603, 269, 476, 273, 6398, 476, 274, 815, 476, 277, 267, 865, 476, 273, 543, 476, 274, 616, 2188, 540, 476, 277, 563, 294, 22396, 19671, 5750, 6476, 10472, 19671, 5750, 16968, 568, 513, 1390, 1907, 547, 4159, 538, 707, 4928, 610, 1688, 856, 547, 1053, 547, 2322, 538, 741, 31940, 610, 536, 5407, 269, 898, 568, 519, 1587, 540, 1079, 2898, 2338, 269, 2913, 721, 2417, 1865, 519, 3017, 1063, 3815, 543, 2789, 538, 519, 3349, 2630, 563, 4322, 13088, 4024, 5269, 6490, 528, 1944, 634, 8648, 23959, 13518, 31418, 1512, 1656, 4841, 11146, 23067, 2336, 8512, 338, 596, 666, 1118, 25656, 949, 1331, 519, 16144, 267, 8473, 267, 2338, 610, 16886, 7436, 267, 610, 513, 4216, 585, 2875, 1603, 269, 476, 273, 6398, 476, 277, 815, 476, 1321, 267, 865, 476, 1321, 568, 513, 2789, 540, 476, 277, 269, 2755, 2188, 540, 513, 1297, 616, 616, 13113, 267, 23385, 616, 12808, 563, 763, 24436, 2052, 4746, 6435, 8866, 5457, 634, 9752, 8672, 563, 763, 19671, 5750, 19776, 519, 4214, 267, 6863, 267, 543, 606, 1383, 721, 328, 269, 11638, 1255, 519, 1587, 540, 513, 2016, 1297, 543, 1776, 3815, 16611, 1927, 269, 4635, 6305, 26458, 547, 1205, 782, 2188, 563, 1607, 31745, 528, 15873, 5403, 518, 1772, 589, 4279, 15484, 1677, 18224, 769, 2659, 15858, 2107, 7435, 4934, 1677, 4841, 1677, 10925, 769, 4256, 8074, 9248, 2107, 645, 5407, 563, 8794, 3815, 3529, 610, 6498, 1505, 476, 2190, 476, 2190, 269, 0, 288, 1126, 666, 1451, 547, 2463, 519, 12918, 950, 4730, 3756, 540, 4960, 267, 971, 607, 13169, 269, 4635, 1806, 267, 5635, 519, 8458, 540, 10888, 519, 13169, 547, 1346, 540, 1373, 5734, 676, 17500, 269, 634, 12918, 540, 10888, 519, 13169, 616, 835, 538, 19939, 2929, 267, 6466, 519, 4960, 540, 1373, 13351, 676, 17500, 568, 835, 538, 1614, 4627, 8536, 269, 6684, 267, 13989, 3549, 1118, 811, 2724, 982, 519, 1004, 945, 13708, 1076, 267, 6382, 789, 9327, 1406, 3251, 538, 1870, 269, 11048, 267, 930, 1453, 2972, 13989, 607, 513, 1259, 547, 1205, 7759, 540, 30627, 543, 2566, 563, 25215, 976, 1043, 13989, 4016, 547, 513, 2039, 540, 1514, 5539, 7341, 17298, 676, 519, 13989, 2872, 267, 1519, 6608, 267, 11080, 1852, 12545, 267, 12427, 543, 21527, 269, 1452, 3646, 2832, 547, 2333, 1857, 4656, 540, 519, 4220, 543, 28746, 2404, 609, 13989, 269, 589, 3743, 13989, 3609, 786, 948, 2327, 602, 11080, 24284, 543, 2238, 798, 711, 11874, 1860, 7925, 2516, 269, 901, 2376, 786, 2491, 1018, 3743, 13989, 568, 543, 875, 621, 5540, 7925, 2516, 269, 1284, 786, 1413, 693, 930, 540, 519, 1034, 7986, 7341, 543, 519, 6402, 1063, 3743, 13989, 2800, 563, 4407, 519, 2783, 814, 1044, 1472, 585, 5553, 267, 1966, 13989, 568, 1869, 2808, 513, 2790, 4576, 269, 634, 2165, 1966, 13989, 729, 1101, 1031, 676, 2506, 559, 26689, 788, 601, 514, 267, 945, 3989, 621, 607, 968, 326, 3711, 1782, 812, 807, 892, 538, 476, 9965, 277, 269, 634, 2165, 729, 2663, 1031, 676, 519, 1977, 5369, 12278, 5948, 630, 4338, 288, 264, 543, 568, 1759 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6316, 630, 340, 267, 341, 264, 798, 454, 258, 11434, 952, 674, 18853, 4149, 4953, 26086, 264, 11203, 674, 18853, 4149, 4953, 17635, 264, 798, 454, 258, 19930, 589, 815, 589, 772, 2715, 263, 340, 267, 341, 264, 8679, 258, 19930, 6167, 12778, 26086, 267, 642, 994, 258, 567, 2132, 589, 7531, 326, 3553, 815, 2715, 10926, 3698, 9769, 27133, 26086, 267, 642, 2187, 825, 2518, 575, 3553, 454, 825, 2385, 318, 340, 815, 575, 3553, 314, 340, 2639, 825, 2385, 24449, 815, 575, 3553, 314, 341, 2639, 825, 585, 14584, 538, 575, 3553, 269, 12399, 10031, 1038, 952, 575, 3553, 314, 591, 23753, 316, 2652, 2385, 318, 340, 281, 3097, 2018, 575, 3553, 314, 591, 23753, 316, 815, 2385, 24449, 692, 3698, 1118, 27133, 17635, 2187, 825, 2518, 575, 3553, 454, 825, 575, 3553, 314, 341, 316, 815, 642, 692, 3698, 737, 6350, 32039, 31855, 2187, 825, 2518, 575, 3553, 454, 825, 585, 642, 538, 717, 9131, 3200, 1182, 11172, 912, 1038, 1118, 27133, 17635, 2020, 825, 1948, 653, 11781, 14116, 3553, 2020, 825, 589, 815, 32582, 476, 1948, 5934, 17364, 3529, 692, 825, 8728, 815, 1592, 31855, 9131, 539, 2471, 11172, 2020, 825, 8728, 31699, 4590, 825, 585, 1775, 538, 2039, 12759, 263, 539, 2471, 15892, 1038, 552, 815, 8728, 5157, 2639, 1038, 530, 267, 579, 267, 642, 815, 552, 454, 1038, 952, 575, 3553, 314, 340, 316, 11203, 575, 3553, 314, 341, 14158, 2018, 589, 6910, 16216, 994, 2018, 9769, 27133, 26086, 267, 642, 994, 2018, 1948, 2745, 1412, 1952, 2056, 1412, 1341, 1193, 16216, 994, 2018, 1948, 653, 11781, 14116, 3553, 994, 2018, 1948, 686, 815, 6151, 17750, 4590, 8931, 825, 1820, 27719, 333, 10955, 2471, 602, 1106, 519, 29358, 1975, 8911, 10326, 2433, 1422, 333, 257, 3097, 825, 533, 2745, 10490, 2020, 3698, 5352, 14682, 1429, 3890, 1384, 825, 717, 815, 13634, 1038, 1412, 3200, 1182, 262, 2433, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 11172, 2676, 1038, 1412, 539, 2471, 262, 2433, 1305, 8443, 454, 2018, 630, 275, 267, 1412, 320, 3299, 1412, 321, 262, 13211, 2018, 630, 279, 267, 1412, 320, 3299, 1412, 327, 262, 13211, 2018, 630, 275, 267, 1412, 321, 3299, 1412, 320, 262, 13211, 2018, 630, 279, 267, 1412, 321, 3299, 1412, 322, 262, 13211, 2018, 630, 1556, 267, 1412, 321, 3299, 1412, 327, 262, 13211, 2018, 630, 279, 267, 1412, 322, 3299, 1412, 321, 262, 13211, 2018, 630, 278, 267, 1412, 322, 3299, 1412, 323, 262, 13211, 2018, 630, 275, 267, 1412, 322, 3299, 1412, 325, 262, 13211, 2018, 630, 273, 267, 1412, 322, 3299, 1412, 328, 262, 13211, 2018, 630, 278, 267, 1412, 323, 3299, 1412, 322, 262, 13211, 2018, 630, 278, 267, 1412, 323, 3299, 1412, 324, 262, 13211, 2018, 630, 1691, 267, 1412, 323, 3299, 1412, 325, 262, 13211, 2018, 630, 280, 267, 1412, 324, 3299, 1412, 323, 262, 13211, 2018, 630, 1015, 267, 1412, 324, 3299, 1412, 325, 262, 13211, 2018, 630, 275, 267, 1412, 325, 3299, 1412, 322, 262, 13211, 2018, 630, 1691, 267, 1412, 325, 3299, 1412, 323, 262, 13211, 2018, 630, 1015, 267, 1412, 325, 3299, 1412, 324, 262, 13211, 2018, 630, 273, 267, 1412, 325, 3299, 1412, 326, 262, 13211, 2018, 630, 272, 267, 1412, 326, 3299, 1412, 327, 262, 13211, 2018, 630, 277, 267, 1412, 326, 3299, 1412, 328, 262, 13211, 2018, 630, 279, 267, 1412, 327, 3299, 1412, 320, 262, 13211, 2018, 630, 1556, 267, 1412, 327, 3299, 1412, 321, 262, 13211, 2018, 630, 272, 267, 1412, 327, 3299, 1412, 326, 262, 13211, 2018, 630, 278, 267, 1412, 327, 3299, 1412, 328, 262, 13211, 2018, 630, 273, 267, 1412, 328, 3299, 1412, 322, 262, 13211, 2018, 630, 277, 267, 1412, 328, 3299, 1412, 326, 262, 13211, 2018, 630, 278, 267, 1412, 328, 3299, 1412, 327, 5073, 1038, 476, 7481, 825, 7684, 454, 8931, 825, 2132, 717, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 717, 815, 5352, 14682, 1429, 4590, 825, 737, 6350, 32039, 31855, 994, 0, 5814, 705, 322, 692, 5035, 2806, 560, 3555, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 791, 2187, 1038, 1582, 11519, 11069, 815, 791, 692, 825, 1219, 5106, 4311, 2187, 1038, 1582, 11519, 11069, 269, 7774, 318, 11069, 10797, 5035, 25956, 528, 263, 5471, 659, 20199, 284, 29582, 269, 5723, 13967, 9508, 2187, 825, 7711, 29582, 269, 629, 5724, 24709, 454, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 5035, 22493, 25363, 618, 528, 288, 263, 25363, 618, 528, 2187, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 5035, 22493, 25363, 618, 528, 289, 263, 25363, 618, 528, 2187, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 3698, 1292, 10031, 825, 6405, 318, 574, 921, 618, 528, 19963, 815, 22493, 25363, 618, 528, 288, 4590, 825, 27727, 815, 2806, 560, 3555, 263, 935, 4740, 318, 574, 921, 618, 528, 19963, 994, 825, 27727, 269, 7774, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 454, 258, 11644, 476, 272, 815, 7529, 2525, 692, 12399, 815, 18358, 307, 523, 3299, 1412, 23562, 4868, 3299, 1412, 1320, 8812, 23300, 11161, 815, 1496, 1015, 267, 476, 736, 267, 476, 1789, 6540, 323, 5315, 815, 9598, 18750, 760, 263, 12399, 267, 2418, 11723, 2745, 5560, 5315, 9239, 258, 11644, 476, 273, 815, 7529, 2525, 692, 26967, 815, 2715, 257, 4459, 9899, 476, 6246, 267, 1412, 10106, 9166, 476, 1724, 267, 1412, 332, 677, 344, 9166, 476, 276, 267, 1412, 8999, 1067, 9166, 476, 279, 10926, 12399, 815, 18358, 4459, 3299, 1412, 10106, 3299, 1412, 332, 677, 344, 3299, 1412, 8999, 1067, 23300, 339, 1157, 564, 815, 29129, 328, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 263, 12399, 15892, 825, 952, 1920, 314, 12399, 5157, 14963, 2999, 476, 274, 281, 3097, 1038, 19044, 6910, 263, 271, 994, 825, 8640, 476, 274, 2999, 1920, 314, 12399, 5157, 14963, 2999, 476, 1321, 912, 1038, 19044, 6910, 263, 1015, 994, 825, 8640, 1920, 314, 12399, 5157, 14963, 3436, 476, 1321, 912, 1038, 19044, 6910, 263, 1428, 994, 328, 6834, 476, 272, 454, 2745, 4433, 636, 6025, 1157, 564, 11723, 692, 720, 815, 3403, 3488, 720, 286, 5073, 4289, 318, 720, 815, 11713, 4289, 318, 720, 6910, 263, 720, 994, 4067, 815, 6358, 3488, 4067, 5073, 4289, 12173, 815, 11713, 4289, 12173, 6910, 28442, 994, 26967, 815, 11713, 26967, 815, 9598, 18750, 760, 17338, 12173, 267, 1592, 318, 720, 11723, 258, 11644, 476, 274, 815, 7529, 2525, 284, 7531, 25912, 815, 13634, 262, 4067, 9166, 1412, 313, 4673, 3299, 3097, 262, 21551, 5091, 622, 9166, 1412, 3192, 276, 3299, 3097, 262, 16579, 528, 12173, 9166, 1412, 288, 2006, 857, 334, 2107, 974, 8615, 12821, 7431, 3299, 3097, 1405, 4286, 15058, 318, 743, 582, 1127, 9166, 18358, 5443, 3299, 1412, 342, 1580, 3299, 1412, 18244, 3299, 1412, 24610, 28710, 3097, 262, 514, 1181, 1049, 318, 4818, 564, 6002, 9166, 18358, 294, 777, 3299, 1412, 295, 261, 300, 3299, 1412, 13051, 564, 2023, 28710, 3097, 262, 15893, 14067, 2803, 9166, 476, 10384, 271, 267, 3097, 6415, 1994, 318, 10233, 9166, 346, 3097, 825, 1412, 293, 8896, 9166, 1412, 19990, 3299, 3097, 825, 1412, 8967, 664, 9166, 1412, 1042, 3299, 3097, 825, 1412, 4785, 9166, 18358, 335, 1074, 3299, 1412, 13582, 11172, 8679, 825, 7684, 692, 25912, 9131, 15893, 14067, 2803, 11172, 815, 476, 273, 454, 2745, 263, 25912, 994, 2745, 3488, 313, 4673, 262, 1341, 1412, 521, 262, 1341, 1412, 743, 1801, 616, 3486, 5073, 343, 815, 27835, 12248, 787, 318, 21551, 9166, 1412, 8967, 664, 262, 8679, 25912, 269, 26303, 3287, 994, 2745, 3287, 2020, 604, 1412, 514, 1181, 1049, 318, 4818, 564, 6002, 262, 538, 6216, 912, 825, 6216, 9131, 514, 1181, 1049, 318, 4818, 564, 6002, 262, 4940, 6572, 3488, 5327, 580, 783, 5073, 825, 1820, 263, 25912, 2020, 23437, 263, 25912, 9131, 21551, 5091, 622, 262, 7481, 2745, 263, 25912, 9131, 514, 1181, 1049, 318, 4818, 564, 3218, 262, 6012, 273, 7481, 2745, 263, 25912, 9131, 332, 1994, 318, 10233, 262, 6012, 262, 4785, 262, 7481, 2745, 12759, 263, 25912, 4917, 2745, 263, 25912, 269, 12399, 31156, 3467, 318, 517, 318, 345, 4673, 815, 27835, 21551, 5091, 622, 9166, 476, 3192, 276, 2676, 262, 15893, 14067, 2803, 9166, 476, 1911, 876, 10926, 25912, 269, 26303, 263, 3467, 318, 517, 318, 345, 4673, 994, 2745, 263, 25912, 2020, 2745, 263, 25912, 9131, 15893, 14067, 2803, 262, 7481, 258, 1492, 5767, 1239, 7670, 27866, 519, 3105, 1883, 1871, 7531, 258, 11644, 476, 275, 815, 13117, 284, 692, 22852, 815, 1496, 834, 31466, 4486, 2580, 834, 300, 4883, 773, 2580, 834, 291, 10735, 2580, 834, 288, 21119, 2580, 834, 5522, 19513, 31116, 22852, 318, 273, 815, 31460, 1721, 4994, 267, 3593, 538, 26246, 263, 22852, 2187, 825, 3755, 318, 273, 27709, 316, 815, 3593, 454, 2745, 263, 22852, 318, 273, 2020, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 771, 2284, 318, 22852, 29758, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 29758, 2020, 4134, 2284, 318, 22852, 318, 290, 815, 31460, 2908, 8266, 815, 15044, 263, 22852, 994, 1721, 1883, 267, 1871, 538, 26246, 28956, 8266, 2187, 825, 771, 2284, 318, 22852, 318, 290, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 318, 290, 2020, 4134, 2284, 318, 22852, 318, 288, 815, 31460, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 952, 1412, 328, 262, 538, 3755, 314, 4486, 14158, 1038, 3136, 454, 825, 771, 2284, 318, 22852, 318, 288, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 318, 288, 2020, 4134, 2284, 318, 22852, 318, 288, 815, 31460, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 952, 3755, 314, 4486, 6012, 271, 316, 2652, 1412, 300, 262, 610, 3755, 314, 4486, 6012, 271, 316, 2652, 1412, 303, 12466, 1038, 771, 2284, 318, 22852, 318, 288, 314, 7407, 316, 815, 1883, 22562, 2745, 263, 4134, 2284, 318, 22852, 318, 288, 2020, 692, 672, 19638, 7531, 0, 258, 15576, 932, 517, 6390, 1299, 9324, 903, 572, 595, 684, 5633, 7531, 5228, 21773, 1104, 2037, 636, 7531, 5035, 667, 3925, 263, 5319, 636, 2187, 825, 24505, 815, 476, 271, 454, 825, 667, 32052, 815, 476, 272, 454, 825, 700, 9128, 307, 815, 476, 273, 454, 825, 681, 20846, 815, 476, 274, 7531, 258, 9540, 3965, 1362, 585, 519, 3642, 547, 4558, 10974, 540, 519, 2063, 1634, 6928, 454, 5035, 26676, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10594, 514, 815, 32582, 4449, 567, 1948, 634, 1101, 1315, 3312, 5734, 281, 519, 834, 10594, 514, 257, 5734, 454, 1038, 1582, 16691, 24002, 815, 32582, 23526, 1948, 5903, 540, 782, 519, 10974, 540, 519, 6928, 454, 1038, 1582, 269, 24105, 815, 6936, 4449, 476, 1948, 901, 1843, 814, 4986, 538, 621, 454, 1038, 1582, 6155, 3925, 815, 667, 3925, 269, 16810, 8587, 1948, 4347, 5435, 547, 519, 1101, 4287, 1412, 1575, 28847, 825, 1219, 2312, 4311, 2187, 1038, 1582, 269, 10594, 514, 815, 11713, 1038, 1582, 16691, 24002, 815, 11713, 1038, 1582, 6155, 3925, 815, 667, 3925, 269, 16810, 454, 1038, 1582, 269, 24105, 815, 6936, 692, 825, 1219, 1039, 318, 1723, 24002, 4311, 267, 10974, 2187, 1038, 1582, 16691, 24002, 6910, 263, 1723, 24002, 994, 1038, 1582, 269, 10594, 514, 815, 1582, 16691, 24002, 314, 271, 2639, 1038, 1582, 269, 24105, 815, 8771, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 269, 24105, 692, 825, 1219, 1205, 318, 1723, 24002, 4311, 2187, 1038, 2132, 1582, 16691, 24002, 692, 825, 1948, 16849, 8900, 1592, 952, 519, 5169, 5734, 568, 8900, 454, 825, 1219, 1205, 318, 10594, 514, 4311, 2187, 1038, 2132, 1582, 269, 10594, 514, 692, 825, 1219, 1205, 5091, 3925, 4311, 2187, 1038, 2132, 1582, 6155, 3925, 692, 825, 1219, 27261, 5091, 3925, 4311, 2187, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 16810, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 6185, 32052, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 6185, 32052, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 269, 4041, 10499, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 269, 4041, 10499, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 10611, 20846, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 666, 610, 1589, 596, 666, 1405, 269, 1411, 2811, 1318, 256, 910, 8361, 16110, 630, 5908, 274, 910, 476, 3707, 278, 2020, 17445, 528, 454, 16274, 281, 476, 1015, 4239, 476, 1220, 276, 454, 15803, 281, 476, 24798, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 876, 281, 2641, 454, 323, 583, 1206, 527, 5206, 912, 312, 584, 1731, 8064, 5206, 912, 312, 584, 1731, 8064, 5206, 912, 3528, 519, 1259, 6867, 1206, 527, 875, 798, 596, 917, 602, 476, 275, 343, 20742, 1058, 581, 476, 2190, 888, 275, 343, 1341, 586, 815, 476, 2190, 4534, 15010, 1877, 596, 666, 1405, 917, 602, 621, 568, 3160, 547, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 1482, 568, 1934, 4917, 5472, 649, 917, 689, 2243, 6565, 568, 602, 476, 275, 311, 266, 312, 284, 332, 4869, 675, 2473, 543, 2473, 266, 276, 312, 284, 332, 4869, 675, 962, 454, 275, 343, 1341, 586, 815, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 952, 649, 6785, 602, 1946, 547, 4194, 2417, 713, 568, 519, 2626, 11723, 275, 343, 1341, 586, 568, 2698, 623, 649, 723, 543, 649, 917, 621, 476, 2190, 692, 514, 7848, 2473, 281, 476, 275, 270, 276, 555, 851, 568, 623, 454, 514, 7848, 962, 281, 476, 272, 270, 277, 555, 851, 568, 623, 692, 20135, 623, 815, 476, 2190, 692, 852, 952, 2473, 815, 476, 276, 343, 267, 623, 568, 476, 275, 343, 454, 514, 962, 815, 476, 277, 344, 267, 623, 568, 586, 692, 275, 343, 1341, 586, 568, 2698, 623, 711, 1318, 1317, 476, 275, 343, 20742, 284, 20135, 7848, 2473, 454, 13707, 623, 284, 276, 311, 543, 2698, 681, 284, 276, 312, 454, 17445, 528, 454, 16274, 281, 476, 1691, 9484, 476, 1220, 276, 454, 15803, 281, 476, 4200, 274, 454, 19613, 281, 3162, 9705, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 13647, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 876, 281, 2764, 454, 4131, 700, 1314, 773, 6166, 519, 2626, 2094, 621, 781, 1200, 6995, 563, 6303, 318, 692, 288, 4007, 19804, 589, 4007, 267, 2098, 23167, 19804, 2098, 23167, 476, 2439, 306, 29262, 454, 16274, 281, 476, 2190, 9484, 476, 1220, 276, 454, 15803, 281, 476, 6245, 271, 454, 27063, 281, 476, 1704, 692, 20132, 19560, 476, 25375, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 6021, 281, 5379, 454, 323, 583, 1206, 527, 5206, 912, 1839, 692, 2280, 912, 7076, 540, 3575, 675, 2473, 281, 476, 276, 343, 454, 7076, 540, 7848, 962, 281, 476, 277, 344, 692, 275, 343, 1341, 586, 815, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 692, 338, 9876, 585, 1535, 454, 343, 815, 476, 276, 692, 276, 343, 815, 476, 1839, 692, 296, 3858, 609, 6867, 1206, 527, 781, 1935, 269, 3807, 991, 547, 12172, 513, 2370, 3787, 912, 4131, 1535, 581, 519, 2053, 540, 519, 5223, 476, 275, 281, 272, 538, 7848, 2473, 454, 2280, 586, 581, 519, 2053, 540, 519, 5223, 476, 272, 281, 276, 538, 7848, 962, 454, 955, 285, 519, 2179, 540, 6995, 623, 815, 476, 275, 343, 266, 586, 815, 476, 2190, 454, 1723, 6332, 681, 284, 1535, 266, 276, 344, 815, 476, 1839, 692, 2750, 18075, 1018, 6867, 1206, 527, 1705, 269, 4270, 267, 594, 666, 1405, 4235, 602, 1454, 6995, 865, 594, 2285, 873, 782, 547, 6867, 1206, 527, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 9338, 12283, 289, 6938, 692, 14006, 539, 676, 16317, 763, 717, 19181, 2894, 25758, 288, 11550, 25770, 300, 912, 288, 14704, 2813, 513, 4677, 689, 1079, 3492, 878, 10580, 4171, 4834, 616, 607, 5205, 912, 3287, 266, 273, 264, 273, 1341, 630, 344, 268, 277, 264, 273, 815, 476, 1626, 543, 630, 343, 266, 273, 264, 273, 1341, 630, 344, 266, 277, 264, 273, 284, 476, 10037, 454, 763, 1858, 540, 519, 1079, 10580, 786, 581, 4988, 609, 6371, 269, 1548, 568, 519, 1858, 540, 602, 3296, 286, 2496, 1892, 9338, 12283, 289, 6938, 910, 692, 296, 8263, 596, 5921, 454, 3287, 266, 273, 8203, 273, 1341, 630, 344, 268, 277, 8203, 273, 815, 476, 1626, 543, 630, 343, 266, 273, 8203, 273, 1341, 630, 344, 266, 277, 8203, 273, 284, 476, 10037, 454, 9767, 1533, 602, 519, 1079, 10580, 616, 3492, 878, 267, 855, 2687, 547, 707, 4834, 519, 1101, 835, 814, 513, 8998, 540, 11196, 273, 267, 277, 264, 543, 11196, 273, 16427, 277, 264, 865, 972, 568, 5693, 513, 1462, 334, 780, 1892, 9338, 12283, 289, 6938, 910, 692, 13433, 782, 519, 476, 273, 781, 3544, 540, 519, 2385, 4185, 616, 16302, 692, 1892, 9338, 12283, 289, 6938, 910, 692, 8923, 13182, 543, 2953, 519, 1462, 334, 563, 763, 2243, 3081, 519, 10580, 616, 3492, 878, 267, 855, 519, 4834, 2285, 1079, 10580, 540, 2234, 4512, 476, 275, 543, 476, 280, 799, 12969, 1142, 824, 563, 25898, 519, 10580, 581, 1875, 8410, 1417, 878, 267, 610, 835, 540, 519, 4834, 1185, 513, 1462, 334, 2496, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 294, 31678, 9351, 9046, 269, 589, 14704, 2813, 513, 4677, 689, 1079, 3492, 878, 10580, 4171, 4834, 616, 607, 5205, 281, 630, 343, 266, 273, 8203, 273, 23444, 344, 268, 277, 8203, 273, 284, 1626, 543, 630, 343, 266, 273, 8203, 273, 23444, 344, 268, 277, 8203, 273, 284, 10037, 634, 1858, 1063, 519, 10580, 786, 581, 4988, 609, 6371, 269, 1548, 568, 519, 1858, 540, 602, 6693, 273, 269, 12693, 10789, 692, 2237, 513, 9971, 585, 519, 1858, 1063, 1079, 3492, 878, 10580, 952, 519, 8953, 540, 519, 9018, 5858, 568, 1079, 1447, 982, 1614, 2053, 519, 2234, 1756, 540, 519, 6418, 5858, 563, 274, 269, 12693, 2979, 2262, 1966, 692, 288, 13551, 4677, 568, 476, 1789, 10264, 676, 476, 2412, 10264, 269, 3487, 540, 519, 4677, 568, 6569, 538, 1931, 547, 3888, 513, 3802, 3118, 540, 7833, 8700, 1472, 621, 269, 634, 1858, 540, 519, 1007, 4677, 568, 835, 28451, 519, 1858, 540, 519, 2025, 4677, 269, 1215, 2647, 568, 519, 3802, 3118, 888, 275, 269, 12693, 2979, 692, 300, 7559, 327, 568, 9544, 513, 14328, 9782, 4677, 269, 769, 519, 4099, 540, 519, 4677, 267, 1352, 12662, 513, 4130, 1427, 9771, 15429, 540, 6371, 269, 634, 6371, 568, 476, 273, 10264, 676, 476, 274, 10264, 269, 1548, 568, 519, 1858, 540, 519, 9782, 4677, 888, 276, 269, 12693, 4569, 692, 763, 7516, 540, 11427, 269, 7327, 13987, 781, 4009, 4677, 616, 8920, 730, 1210, 513, 4336, 3815, 540, 476, 274, 269, 1548, 568, 519, 2078, 1063, 519, 1858, 540, 519, 1007, 4677, 543, 519, 2025, 4677, 888, 277, 269, 12693, 23817, 6865, 4953, 23802, 263, 5746, 13612, 4041, 2020, 16248, 10580, 609, 1114, 2234, 4512, 723, 741, 7740, 593, 513, 1899, 269, 634, 1079, 4130, 10580, 616, 3330, 519, 4102, 5858, 267, 543, 1142, 5858, 568, 17242, 547, 519, 824, 1079, 269, 634, 8953, 540, 519, 4102, 5858, 568, 476, 1015, 7397, 269, 8625, 519, 1858, 540, 6693, 278, 269, 12693, 12928, 2135, 4610, 780, 288, 4677, 538, 1106, 540, 513, 4009, 568, 11303, 676, 513, 2619, 799, 568, 476, 272, 332, 2647, 593, 1079, 6587, 5011, 543, 476, 272, 317, 273, 332, 2647, 593, 519, 824, 1079, 6587, 5011, 269, 604, 519, 1858, 540, 519, 2619, 568, 476, 1704, 332, 317, 273, 5861, 531, 1529, 622, 519, 15943, 540, 519, 4677, 543, 519, 1858, 540, 519, 2230, 6693, 279, 269, 12693, 2979, 692, 288, 4677, 538, 519, 3484, 540, 513, 4009, 267, 568, 11303, 676, 513, 2619, 799, 568, 476, 272, 332, 2647, 593, 1079, 6587, 5011, 543, 476, 272, 270, 273, 332, 2647, 593, 519, 824, 1079, 6587, 5011, 269, 1403, 519, 1858, 540, 519, 2619, 568, 476, 1704, 916, 32464, 267, 5173, 519, 2433, 32309, 540, 519, 4677, 9351, 540, 6693, 280, 269, 12693, 2979, 692, 300, 7559, 327, 568, 9544, 513, 14328, 9782, 4677, 269, 769, 519, 4099, 540, 519, 4677, 267, 1352, 12662, 513, 4130, 1427, 9771, 15429, 540, 6371, 269, 634, 6371, 568, 476, 273, 10264, 676, 476, 274, 10264, 269, 1548, 568, 519, 1858, 540, 519, 9782, 4677, 888, 1015, 269, 12693, 4569, 692, 2467, 616, 1079, 9764, 10651, 589, 543, 645, 269, 634, 18592, 540, 4677, 589, 568, 476, 272, 269, 31318, 5998, 543, 519, 1858, 540, 4677, 645, 568, 476, 1839, 2053, 519, 1858, 540, 4677, 589, 269, 4855, 519, 18592, 540, 4677, 645, 780, 5415, 5381, 5999, 0, 258, 1773, 5217, 513, 11282, 1062, 692, 1012, 11473, 281, 1773, 5217, 513, 11282, 1062, 692, 15919, 649, 991, 547, 960, 609, 938, 692, 1012, 1773, 5217, 513, 11282, 1062, 692, 15919, 649, 991, 547, 960, 609, 938, 2203, 1210, 513, 1114, 11282, 1062, 5581, 269, 901, 568, 1360, 3730, 950, 7893, 519, 4099, 540, 2527, 610, 824, 2168, 3601, 269, 3213, 15453, 1949, 666, 849, 581, 1360, 3730, 950, 7011, 1782, 2694, 1927, 2073, 528, 952, 596, 2811, 1210, 513, 3791, 5428, 4342, 3301, 11690, 514, 267, 9591, 519, 960, 1055, 1305, 269, 1677, 1205, 3323, 609, 602, 267, 1577, 781, 979, 909, 547, 17972, 267, 2097, 909, 547, 13129, 16387, 267, 543, 2097, 1524, 1934, 547, 3213, 15453, 3590, 269, 2353, 596, 991, 547, 798, 568, 5581, 835, 1448, 269, 1924, 5469, 596, 1294, 519, 1448, 1934, 568, 519, 5169, 267, 30966, 267, 855, 594, 1616, 547, 946, 713, 1448, 1934, 267, 865, 594, 6415, 2469, 547, 4945, 593, 713, 1448, 269, 1656, 5469, 267, 607, 4166, 607, 594, 4945, 593, 602, 1448, 972, 267, 519, 11282, 1062, 7575, 972, 267, 543, 594, 4312, 3893, 606, 1535, 267, 586, 543, 1990, 780, 3086, 594, 666, 1847, 602, 1472, 267, 865, 594, 1616, 519, 1535, 2469, 547, 519, 1318, 267, 594, 1131, 899, 519, 586, 2469, 1394, 267, 543, 594, 1616, 519, 1990, 6849, 909, 267, 865, 594, 6415, 2469, 547, 16212, 602, 4287, 269, 1924, 594, 1118, 2386, 602, 519, 1990, 568, 6849, 909, 267, 519, 1535, 568, 2469, 602, 1259, 267, 543, 519, 586, 568, 2469, 602, 1259, 269, 3767, 594, 4312, 3989, 602, 8799, 11282, 1062, 972, 267, 543, 594, 666, 4945, 15528, 547, 5581, 269, 3767, 594, 666, 5581, 607, 1082, 11282, 1949, 607, 594, 899, 267, 4470, 593, 1018, 594, 6415, 3257, 269, 769, 713, 2013, 1934, 267, 594, 666, 2141, 1175, 979, 1394, 909, 1934, 547, 513, 1007, 11282, 1062, 269, 1809, 2899, 596, 4312, 3964, 602, 11282, 1062, 267, 1631, 596, 666, 946, 621, 547, 1265, 856, 930, 1344, 827, 519, 2203, 267, 899, 519, 4099, 540, 2527, 269, 2913, 781, 979, 547, 21414, 267, 543, 2097, 909, 1934, 547, 7136, 16544, 780, 3383, 7136, 16544, 267, 676, 9949, 267, 3096, 519, 9949, 3213, 15453, 3590, 269, 1656, 5469, 594, 1205, 519, 4099, 540, 2527, 1934, 267, 1934, 543, 1934, 267, 938, 1535, 540, 476, 271, 267, 586, 540, 476, 274, 269, 4649, 543, 1990, 540, 476, 271, 269, 1809, 952, 594, 6467, 547, 3213, 15453, 3590, 2290, 267, 5469, 782, 1346, 2418, 1689, 267, 1317, 1346, 2418, 616, 538, 6935, 547, 1141, 519, 4099, 540, 2527, 568, 2687, 547, 713, 3213, 15453, 3590, 2290, 269, 1924, 621, 781, 513, 2656, 1259, 547, 1847, 1919, 1472, 543, 6218, 873, 593, 519, 4493, 540, 602, 1007, 11282, 1062, 269, 20348, 17582, 2488, 513, 8799, 4183, 547, 28196, 710, 519, 2199, 11282, 1062, 1210, 707, 2203, 780, 1103, 1249, 267, 596, 666, 3651, 2789, 11282, 1949, 1759, 2390, 707, 2115, 543, 6467, 1063, 1022, 540, 873, 693, 786, 780, 17004, 13973, 692, 2971, 901, 3381, 568, 851, 540, 692, 306, 13521, 17582, 476, 1001, 275, 12708, 9751, 692, 9032, 3381, 4245, 5788, 476, 277, 4510, 274, 13588, 692, 12041, 692, 22091, 663, 782, 1923, 7502, 8985, 782, 454, 272, 269, 12693, 4985, 692, 272, 332, 476, 7906, 338, 454, 272, 269, 8080, 454, 272, 332, 476, 278, 338, 454, 273, 269, 4635, 519, 3635, 6119, 454, 4510, 338, 454, 273, 269, 12693, 476, 272, 269, 12875, 532, 519, 28497, 692, 4029, 332, 476, 1724, 338, 454, 272, 269, 5487, 684, 4221, 20348, 17582, 585, 519, 1101, 942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2984, 267, 649, 786, 1294, 875, 891, 4507, 948, 2149, 4025, 602, 2339, 547, 721, 267, 938, 2950, 267, 543, 1256, 3003, 2477, 780, 5331, 6972, 1524, 513, 14297, 2749, 8265, 4904, 609, 2413, 5656, 543, 10393, 588, 22824, 2390, 513, 4190, 2025, 2679, 602, 814, 1044, 972, 585, 7366, 540, 1296, 269, 1411, 5469, 6946, 1286, 19133, 593, 922, 6821, 267, 7381, 9486, 15603, 538, 3636, 7943, 267, 543, 5310, 1256, 513, 15799, 4687, 930, 1686, 827, 945, 3710, 621, 543, 950, 269, 1452, 616, 1175, 513, 1906, 4128, 1946, 1004, 1871, 4587, 3889, 282, 789, 2995, 2984, 827, 519, 2250, 1247, 849, 4946, 1915, 547, 938, 4872, 543, 10034, 269, 1717, 267, 3006, 267, 891, 1271, 4609, 991, 4027, 547, 2061, 873, 689, 1373, 23542, 1639, 610, 12012, 1932, 1454, 269, 2334, 781, 1141, 6561, 3609, 2501, 538, 2439, 15463, 5146, 3609, 4016, 547, 4031, 267, 6042, 267, 4808, 267, 543, 824, 3652, 2813, 676, 6608, 547, 2697, 267, 8190, 267, 4383, 267, 543, 3895, 1713, 3140, 2200, 1369, 741, 16278, 269, 22749, 1711, 971, 4507, 1317, 789, 5431, 519, 2956, 540, 7863, 2686, 16782, 585, 2104, 5481, 543, 4180, 602, 1646, 1281, 711, 2097, 693, 519, 13258, 540, 9561, 3407, 4773, 540, 1686, 780, 3086, 1577, 803, 2671, 606, 1383, 540, 875, 713, 1568, 538, 2259, 269, 5994, 952, 707, 4884, 4956, 547, 1628, 513, 1007, 10918, 32041, 2282, 835, 540, 1346, 10475, 2025, 5656, 649, 14437, 827, 4505, 269, 9453, 1022, 8825, 3800, 538, 1747, 267, 519, 9367, 1223, 5732, 15237, 1524, 519, 2025, 2497, 547, 1118, 1259, 585, 519, 32041, 269, 1809, 1018, 952, 707, 2146, 2418, 713, 2679, 543, 6499, 547, 1832, 621, 2496, 1607, 568, 1141, 9086, 3268, 538, 269, 589, 1876, 949, 2291, 602, 3340, 9367, 547, 2015, 4244, 6753, 585, 741, 3785, 1354, 18363, 13840, 1713, 2127, 269, 1403, 1100, 8925, 616, 1336, 267, 1287, 1419, 2053, 267, 4966, 1590, 6218, 2436, 519, 1788, 1131, 2014, 9048, 1706, 762, 2800, 547, 519, 3135, 269, 1403, 865, 267, 519, 2229, 949, 1900, 538, 543, 20912, 10479, 585, 519, 4070, 610, 2154, 2242, 547, 7413, 3441, 780, 4131, 781, 1491, 1776, 1383, 5018, 693, 519, 4098, 1107, 1325, 5336, 525, 718, 320, 9257, 585, 5274, 8249, 4886, 2324, 12725, 538, 12925, 269, 1358, 1445, 593, 14304, 3540, 2486, 5639, 543, 11450, 593, 1480, 543, 2825, 2924, 269, 2290, 2460, 540, 741, 960, 1522, 4125, 14957, 585, 3656, 20038, 585, 3504, 15456, 4609, 12219, 676, 4683, 7269, 610, 4199, 10868, 269, 2060, 2178, 6561, 4507, 538, 1747, 267, 3906, 899, 1325, 5336, 525, 718, 320, 666, 2327, 602, 891, 11720, 6804, 24790, 540, 1480, 1686, 2611, 16856, 585, 3025, 547, 1451, 689, 543, 5660, 780, 3383, 1985, 942, 596, 2263, 707, 8378, 610, 3643, 12341, 1007, 267, 1589, 827, 782, 519, 4241, 12583, 6456, 1318, 1354, 707, 4064, 269, 1656, 3314, 267, 7064, 547, 6561, 3609, 543, 9086, 267, 1082, 540, 891, 6909, 4025, 723, 513, 8165, 4960, 1996, 519, 12503, 540, 2413, 2208, 269, 8625, 267, 649, 666, 8661, 543, 16102, 891, 9048, 2897, 762, 6402, 547, 938, 3838, 2250, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 280, 3583, 1475, 294, 1516, 20429, 547, 6468, 543, 21989, 538, 28950, 807, 13466, 20238, 1470, 18243, 329, 597, 1475, 26222, 910, 28950, 807, 1475, 268, 910, 13466, 4785, 291, 476, 13679, 267, 1822, 11406, 347, 280, 7597, 1475, 290, 527, 714, 839, 281, 16779, 2199, 2950, 267, 5355, 2199, 10350, 13466, 313, 574, 600, 585, 27065, 543, 4886, 1475, 26222, 910, 21157, 1475, 268, 910, 13466, 4785, 291, 476, 25784, 267, 1822, 11406, 347, 280, 6924, 1475, 19102, 2084, 6468, 781, 30880, 543, 23830, 538, 8644, 5984, 13466, 4263, 8705, 3919, 585, 1382, 543, 6848, 1646, 1475, 26222, 910, 3557, 540, 8644, 5984, 1475, 268, 910, 13466, 4785, 291, 476, 26237, 267, 1822, 11406, 347, 280, 6858, 1475, 23220, 7627, 15272, 22580, 998, 12160, 2218, 20989, 538, 26288, 13466, 5353, 32418, 334, 1475, 26222, 910, 26288, 1475, 268, 910, 13466, 4785, 291, 476, 13136, 267, 1822, 11406, 347, 280, 5780, 1475, 4462, 4328, 15272, 543, 6468, 779, 5494, 6847, 547, 8081, 6554, 7073, 1436, 538, 16888, 13466, 303, 29176, 543, 5980, 4659, 1475, 26222, 910, 16888, 1475, 268, 910, 13466, 4785, 291, 476, 22550, 267, 1822, 11406, 347, 280, 4792, 1475, 1805, 21880, 28517, 6406, 5980, 20429, 543, 26844, 593, 5274, 543, 7025, 7126, 538, 12925, 13466, 2704, 5336, 525, 718, 320, 9257, 585, 5274, 8249, 4886, 1475, 26222, 910, 12925, 1475, 268, 910, 13466, 4785, 291, 476, 25784, 267, 1822, 11406, 347, 280, 5038, 1475, 23220, 7627, 5548, 9200, 894, 22640, 547, 4762, 3224, 8693, 32389, 538, 18335, 267, 8478, 267, 21896, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15463, 5146, 8889, 543, 18489, 3175, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 19866, 27264, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 27686, 5455, 3776, 5113, 609, 8752, 2439, 5331, 952, 649, 1223, 946, 1945, 607, 2241, 607, 1769, 547, 948, 2973, 909, 938, 1604, 286, 4270, 267, 3494, 621, 610, 711, 267, 3744, 723, 23125, 856, 875, 547, 798, 1175, 602, 1210, 513, 1184, 1572, 2584, 665, 520, 24608, 12159, 540, 14107, 256, 901, 1797, 789, 4312, 4362, 513, 1259, 547, 10244, 519, 1379, 540, 1769, 547, 2736, 1524, 5739, 6878, 883, 4130, 267, 20027, 2694, 269, 2913, 781, 4685, 1318, 538, 543, 1451, 827, 713, 4241, 2029, 2439, 5575, 267, 1577, 781, 1174, 1018, 513, 18463, 568, 269, 6056, 1394, 547, 707, 2257, 6901, 950, 596, 6404, 1114, 6464, 1927, 543, 3006, 4767, 1007, 6547, 8345, 269, 589, 18463, 568, 899, 513, 2027, 25961, 945, 11250, 909, 891, 3114, 6547, 1510, 3478, 1031, 909, 3294, 1107, 7168, 3579, 267, 1318, 2496, 3086, 267, 4952, 9256, 513, 18463, 609, 7943, 269, 2334, 781, 4010, 1018, 4523, 1282, 2584, 665, 520, 4519, 256, 1635, 4946, 513, 1808, 1826, 540, 18463, 1570, 547, 7252, 6534, 547, 7943, 267, 649, 666, 20006, 513, 5832, 5114, 602, 2337, 4894, 14107, 689, 1216, 543, 2011, 780, 2080, 781, 875, 621, 1568, 281, 1879, 7943, 31438, 593, 519, 10776, 7458, 2627, 267, 621, 2300, 2572, 9211, 1369, 519, 18463, 1570, 269, 1452, 10069, 1242, 9211, 1287, 2746, 609, 5135, 6675, 543, 1216, 11517, 1459, 538, 519, 5790, 269, 8625, 267, 789, 1106, 19535, 2249, 971, 607, 18038, 2643, 18119, 630, 15121, 265, 264, 799, 616, 3810, 2500, 693, 8840, 1524, 1585, 2010, 540, 14107, 883, 12863, 7135, 899, 3327, 8166, 543, 1216, 269, 4595, 519, 18463, 3788, 24240, 2429, 713, 1184, 267, 621, 8952, 2324, 24091, 547, 9004, 5533, 936, 1279, 5712, 780, 4131, 803, 2285, 596, 606, 1383, 547, 9414, 922, 7145, 269, 5994, 6972, 2059, 513, 11112, 2749, 8265, 4904, 609, 9688, 32669, 4947, 689, 6517, 8429, 676, 269, 3767, 4605, 6821, 22862, 609, 513, 6094, 4494, 540, 713, 5863, 18463, 1570, 269, 1306, 3141, 12345, 5734, 1346, 6821, 267, 789, 1376, 2324, 2182, 547, 9243, 1125, 6757, 9362, 19501, 676, 6472, 269, 3683, 942, 267, 713, 1131, 3648, 2087, 519, 2298, 540, 2011, 596, 13236, 1247, 588, 13764, 998, 4884, 2439, 20118, 267, 713, 4480, 666, 849, 581, 4294, 547, 1625, 1518, 13572, 1216, 4703, 269, 4469, 334, 908, 5867, 9280, 609, 29512, 2326, 666, 3927, 31358, 5214, 2339, 267, 4551, 267, 543, 824, 5739, 8069, 2390, 4598, 547, 7943, 269, 901, 5499, 3070, 3091, 4126, 585, 5466, 930, 4101, 1216, 5533, 2152, 1472, 519, 1158, 780, 2026, 596, 666, 1294, 267, 519, 1761, 3156, 540, 2584, 665, 520, 24608, 12159, 540, 14107, 616, 5318, 543, 11212, 9621, 269, 898, 781, 5963, 11121, 547, 1589, 827, 782, 519, 2081, 649, 1522, 8415, 713, 2029, 547, 1711, 8902, 5054, 585, 6000, 543, 2104, 5481, 269, 5901, 3695, 543, 1565, 1317, 945, 6487, 910, 6148, 835, 1554, 9358, 786, 2097, 909, 609, 606, 6909, 5647, 602, 2242, 519, 1158, 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, 10755, 269, 271, 4366, 279, 18192, 280, 454, 20428, 281, 8447, 7070, 267, 18395, 1656, 8330, 5268, 12695, 27511, 281, 3859, 1062, 282, 2347, 25536, 282, 2470, 282, 11707, 454, 15697, 281, 476, 866, 5147, 476, 1708, 274, 630, 6021, 281, 3066, 281, 736, 595, 12239, 994, 27670, 267, 11707, 543, 3601, 540, 519, 9891, 3590, 616, 21845, 538, 519, 5943, 540, 519, 13159, 4039, 18356, 3069, 630, 2421, 519, 1482, 2278, 1040, 4340, 547, 13159, 4039, 18356, 267, 3388, 568, 3448, 269, 7102, 7805, 2612, 565, 583, 1143, 630, 2254, 2406, 23223, 766, 547, 4336, 540, 21021, 21635, 267, 6207, 3693, 541, 1465, 267, 23223, 766, 547, 942, 264, 568, 606, 21903, 31827, 689, 7182, 13684, 676, 1496, 528, 593, 316, 8701, 1242, 24319, 602, 786, 23366, 1291, 547, 31495, 13133, 566, 540, 9259, 630, 534, 1278, 21903, 264, 9648, 593, 1875, 1673, 1311, 569, 28507, 10253, 610, 1256, 593, 28507, 855, 11397, 10253, 538, 2230, 610, 942, 269, 1403, 3388, 568, 3448, 267, 4704, 14604, 786, 2291, 1141, 5536, 616, 10785, 543, 1141, 10785, 616, 2713, 7919, 269, 3047, 568, 267, 4061, 267, 21845, 1934, 538, 811, 1469, 267, 1312, 607, 513, 9325, 543, 267, 607, 513, 2713, 9687, 581, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21900, 665, 520, 24608, 667, 18341, 566, 540, 15724, 583, 1218, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 7025, 1315, 21694, 6513, 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, 19565, 27140, 543, 476, 866, 628, 11416, 2475, 3778, 281, 10289, 26913, 267, 18650, 267, 543, 15213, 998, 9085, 692, 29020, 281, 901, 1576, 1770, 786, 1683, 1053, 609, 606, 538, 3829, 2079, 540, 519, 3140, 2796, 4478, 8474, 267, 4187, 267, 543, 5191, 1282, 519, 476, 866, 628, 2540, 538, 519, 2136, 2276, 269, 1635, 6313, 8366, 20421, 11174, 15923, 3332, 971, 607, 834, 10403, 4248, 257, 676, 2549, 2088, 13198, 336, 2006, 5937, 1177, 5459, 267, 1053, 786, 2263, 4798, 540, 6043, 267, 3961, 267, 543, 1514, 5126, 1247, 2502, 538, 2565, 3206, 2238, 2966, 547, 1921, 519, 2250, 609, 4207, 2152, 1472, 5198, 267, 1379, 267, 543, 17979, 780, 296, 269, 8466, 12745, 281, 4197, 26913, 543, 18650, 28073, 4438, 519, 476, 866, 628, 11416, 692, 265, 24167, 519, 9872, 540, 8474, 543, 922, 1764, 593, 1977, 2486, 454, 265, 15766, 908, 1585, 3029, 540, 4187, 1519, 18326, 267, 26453, 582, 720, 267, 543, 1582, 2000, 756, 3130, 454, 265, 22718, 875, 11585, 5129, 513, 1909, 538, 5935, 4187, 5322, 630, 324, 3052, 1421, 2261, 3019, 2950, 2020, 2862, 269, 19171, 7335, 540, 834, 10403, 4248, 9899, 1133, 17569, 532, 21771, 543, 16992, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 27903, 540, 519, 3627, 1715, 25053, 29274, 454, 310, 27903, 540, 519, 11759, 1777, 320, 8845, 3751, 8191, 13815, 454, 2304, 1473, 773, 20129, 7454, 31805, 454, 288, 1715, 3840, 8648, 7454, 31805, 454, 288, 1189, 20421, 2278, 2549, 2088, 13198, 336, 2006, 5937, 1177, 5459, 23445, 513, 11430, 3740, 267, 3015, 3140, 1647, 17263, 3209, 827, 1079, 20665, 1453, 781, 9101, 689, 513, 24873, 543, 519, 1082, 2081, 789, 1265, 5191, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1898, 4296, 1063, 9583, 19635, 4610, 971, 607, 2780, 2257, 267, 1686, 267, 543, 23316, 269, 3245, 19825, 3504, 11706, 1949, 547, 17516, 2413, 3059, 10618, 267, 17117, 540, 713, 6389, 16877, 6267, 6457, 1302, 543, 18374, 269, 1306, 596, 3136, 28798, 707, 1983, 998, 2259, 2042, 543, 2417, 1353, 267, 3314, 602, 9639, 543, 18094, 6556, 7096, 12587, 269, 8414, 7384, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 532, 3755, 3357, 547, 713, 2985, 2221, 676, 10024, 891, 7223, 2474, 912, 301, 2562, 8025, 16998, 32767, 13878, 295, 20796, 298, 19447, 10498, 306, 267, 28976, 6824, 4082, 9498, 267, 6305, 26458, 540, 14009, 267, 18445, 9163, 24626, 267, 5751, 2979, 834, 5320, 2042, 257, 834, 277, 628, 3446, 8487, 15542, 1681, 12945, 959, 30796, 338, 267, 476, 275, 628, 3446, 8454, 948, 267, 8940, 269, 5793, 3455, 24626, 1547, 635, 267, 2979, 268, 28809, 9498, 267, 834, 274, 323, 29890, 257, 1341, 4103, 18694, 267, 14000, 5112, 3070, 563, 291, 3554, 1180, 28809, 7223, 267, 513, 548, 5040, 948, 267, 23266, 540, 13392, 4542, 267, 476, 279, 3787, 9352, 9498, 267, 5131, 2979, 3211, 593, 1210, 10789, 570, 3796, 267, 834, 4118, 3815, 6656, 2580, 27764, 10019, 3666, 3114, 563, 22706, 476, 279, 30878, 2979, 9212, 267, 3732, 3211, 585, 476, 274, 6113, 3446, 2979, 8675, 267, 12307, 609, 26271, 531, 3213, 324, 13266, 267, 7005, 19038, 3363, 2055, 266, 1863, 4647, 267, 3450, 7223, 547, 15795, 1178, 1457, 267, 7223, 3211, 9386, 18448, 563, 10403, 20389, 306, 1449, 1957, 2157, 476, 277, 476, 279, 267, 2994, 585, 3450, 9981, 267, 13004, 3211, 593, 8167, 585, 3446, 476, 277, 563, 19667, 529, 2225, 3652, 585, 2338, 476, 272, 547, 476, 1015, 31872, 273, 267, 9097, 1297, 1309, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 7089, 7010, 1315, 3525, 983, 25226, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 3778, 998, 5915, 16623, 281, 589, 6733, 883, 519, 3883, 540, 30963, 692, 5970, 596, 2479, 4862, 540, 519, 3883, 540, 30963, 286, 898, 781, 513, 3909, 1257, 602, 1082, 1004, 3494, 814, 1271, 4245, 827, 1686, 543, 1480, 2623, 269, 1809, 875, 798, 649, 917, 952, 1018, 621, 3081, 2965, 5949, 286, 2334, 781, 1141, 1629, 2762, 2501, 538, 2439, 20779, 2762, 568, 519, 1353, 540, 5095, 543, 741, 4162, 936, 942, 269, 1635, 3168, 693, 1919, 899, 2551, 2450, 267, 4332, 3928, 267, 2669, 3928, 267, 543, 9194, 3270, 267, 12206, 666, 1451, 513, 2603, 827, 513, 2486, 543, 922, 2528, 269, 1656, 789, 666, 946, 713, 1344, 547, 948, 3313, 2436, 1978, 2984, 610, 6589, 1522, 581, 3020, 780, 1103, 713, 1576, 1770, 267, 649, 2811, 2469, 547, 1491, 513, 6251, 1413, 693, 519, 3883, 540, 30963, 1210, 519, 2645, 540, 1629, 2762, 269, 1284, 3513, 2263, 2055, 899, 834, 6011, 2462, 729, 519, 13605, 327, 924, 2551, 8119, 543, 834, 6343, 1281, 519, 2963, 2995, 721, 827, 519, 10923, 4259, 540, 519, 3883, 540, 30963, 8119, 1452, 616, 1175, 513, 1906, 540, 519, 4241, 2055, 649, 3513, 10994, 607, 649, 4685, 883, 713, 10578, 1888, 780, 4131, 781, 1376, 676, 6158, 827, 519, 13605, 327, 2572, 267, 835, 540, 519, 1292, 2516, 5018, 538, 519, 3883, 540, 30963, 269, 4340, 547, 519, 1257, 267, 519, 13605, 327, 2572, 941, 513, 1895, 540, 1004, 945, 5030, 593, 519, 1977, 11782, 1354, 3864, 13896, 8452, 269, 1358, 1185, 741, 1378, 2229, 267, 4984, 267, 543, 1259, 540, 1272, 780, 3719, 875, 1082, 13605, 327, 2572, 941, 972, 4010, 286, 901, 568, 1141, 1629, 2762, 2501, 538, 13561, 269, 16024, 2103, 723, 1031, 1585, 2409, 547, 7447, 519, 2450, 540, 519, 13605, 327, 924, 2551, 1759, 593, 10881, 1336, 538, 519, 1257, 269, 1280, 1383, 267, 789, 1522, 1413, 693, 519, 1297, 540, 21847, 3238, 538, 12959, 267, 610, 519, 2179, 540, 2244, 2877, 547, 1489, 1114, 21092, 2950, 269, 9122, 593, 891, 9273, 267, 930, 5640, 1589, 519, 13605, 327, 924, 2551, 949, 723, 1044, 3833, 1804, 1107, 7654, 1256, 6634, 540, 1004, 2439, 8170, 1576, 267, 21501, 2551, 7306, 3884, 1405, 2141, 2653, 267, 2523, 950, 7231, 609, 3504, 7239, 269, 1703, 616, 1419, 10616, 538, 938, 1702, 267, 543, 3006, 519, 1239, 3274, 3085, 1405, 2291, 15042, 269, 1924, 1247, 15295, 2079, 666, 2285, 721, 3407, 4030, 883, 519, 2250, 267, 621, 781, 1271, 547, 3314, 602, 891, 9193, 5749, 1405, 1305, 538, 6149, 780, 5194, 4277, 2460, 540, 519, 3883, 540, 30963, 568, 922, 6609, 540, 519, 10923, 5468, 1141, 519, 13605, 327, 2572, 5030, 269, 2368, 1004, 3494, 602, 519, 2621, 4330, 538, 519, 1257, 3576, 1747, 2066, 519, 3003, 1977, 21571, 267, 1247, 1866, 8044, 602, 519, 2962, 729, 3908, 547, 513, 4130, 1858, 780, 5629, 1586, 267, 1629, 2762, 666, 948, 721, 8774, 1769, 593, 713, 2243, 269, 1635, 6313, 2188, 899, 2916, 267, 14099, 267, 543, 2067, 2200, 267, 12206, 666, 1205, 513, 1732, 2631, 540, 799, 4525, 1522, 723, 1044, 2111, 547, 1489, 1804, 5095, 899, 1346, 4330, 538, 519, 3883, 540, 30963, 269, 1280, 3236, 267, 2127, 609, 15417, 3037, 267, 10731, 1216, 267, 543, 7646, 16374, 1131, 723, 1044, 811, 2693, 547, 2844, 14762, 12977, 982, 3046, 1066, 24301, 610, 13792, 512, 1495, 6652, 780, 3383, 2484, 267, 1034, 14046, 960, 5267, 602, 519, 13605, 327, 2572, 4440, 4769, 1405, 2661, 782, 936, 3345, 543, 3162, 3013, 269, 5502, 267, 621, 4667, 811, 2693, 602, 789, 20948, 513, 1808, 3148, 1369, 519, 17113, 1107, 4352, 10502, 1141, 602, 3148, 729, 4092, 3788, 513, 2339, 540, 7521, 780, 2026, 596, 666, 1294, 267, 4974, 1686, 998, 519, 7828, 540, 1629, 2762, 666, 1930, 909, 1007, 18817, 540, 1620, 543, 5813, 269, 6787, 596, 2811, 5461, 538, 1565, 811, 827, 519, 3883, 540, 30963, 610, 824, 3140, 5931, 267, 713, 15834, 1935, 3091, 513, 5763, 540, 7399, 585, 3408, 543, 6602, 780, 12244, 22830, 1384, 2414, 3142, 713, 1523, 547, 1272, 267, 2119, 2870, 707, 1378, 9910, 24683, 4919, 5619, 585, 513, 14070, 2486, 269, 7994, 513, 5172, 1433, 267, 7260, 267, 610, 7641, 1397, 543, 4952, 596, 2811, 513, 14787, 3843, 547, 1174, 519, 1158, 538, 799, 621, 3217, 1747, 269, 9105, 3054, 2055, 899, 1384, 265, 1215, 2462, 568, 519, 2551, 888, 265, 1548, 5686, 540, 6009, 798, 1004, 723, 888, 265, 7316, 798, 789, 2661, 888, 265, 1548, 616, 741, 9821, 543, 5389, 2496, 10190, 267, 946, 707, 4267, 547, 1711, 11708, 267, 12125, 267, 610, 7851, 602, 9414, 707, 4681, 269, 1411, 1223, 849, 2328, 513, 2110, 1867, 28388, 707, 8753, 543, 4687, 1022, 26208, 610, 13655, 596, 20114, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 616, 1934, 454, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 454, 347, 17138, 1475, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 2008, 347, 26397, 7392, 1475, 9349, 3848, 2008, 347, 17413, 540, 22910, 1475, 1960, 278, 2008, 24820, 18308, 1475, 29834, 267, 6276, 661, 8198, 347, 29394, 1475, 3725, 2106, 9529, 267, 3143, 601, 645, 8198, 347, 9349, 7170, 1475, 9349, 540, 30963, 589, 3578, 11208, 4860, 529, 1243, 281, 634, 15845, 585, 9147, 17959, 2008, 347, 21812, 1475, 28062, 566, 585, 9147, 3194, 543, 30963, 5525, 2008, 347, 21292, 1475, 9349, 540, 30963, 17323, 910, 12920, 7371, 8879, 282, 3883, 540, 30963, 17323, 910, 17290, 17323, 282, 5915, 2762, 282, 13605, 327, 924, 282, 11524, 538, 519, 8092, 282, 15510, 12025, 2008, 17004, 9509, 7956, 454, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 454, 22832, 661, 269, 8055, 454, 22832, 661, 269, 8055, 568, 13030, 7022, 540, 513, 3084, 1382, 18294, 2282, 6115, 267, 667, 269, 595, 1421, 543, 568, 513, 1382, 12314, 540, 513, 1382, 1770, 538, 3140, 1629, 2762, 693, 11062, 2160, 563, 288, 2757, 1899, 540, 4661, 1996, 519, 8978, 640, 540, 519, 3883, 540, 30963, 568, 547, 1265, 930, 27581, 3978, 16950, 538, 519, 1433, 779, 3140, 1469, 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, 4437, 7240, 25780, 616, 13801, 2943, 13181, 6589, 602, 5490, 883, 519, 1272, 267, 10781, 267, 543, 1764, 540, 8037, 2043, 269, 1452, 6386, 2709, 3407, 4030, 883, 519, 2833, 267, 4555, 267, 543, 3527, 540, 971, 14789, 267, 3246, 3988, 609, 513, 4514, 8223, 540, 741, 7418, 547, 1585, 4610, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 4644, 267, 2497, 267, 543, 2553, 3238, 538, 13167, 2502, 27367, 25780, 1369, 519, 2796, 540, 19565, 27140, 543, 5530, 589, 1749, 269, 13018, 267, 649, 786, 1445, 593, 808, 28903, 630, 297, 327, 1046, 8518, 5398, 6796, 8189, 264, 5530, 7698, 3883, 11872, 267, 10223, 875, 27367, 25780, 666, 5351, 1053, 8600, 585, 8013, 11400, 780, 14294, 881, 766, 540, 4437, 7240, 4787, 564, 2583, 912, 5785, 14945, 18693, 7240, 25780, 4196, 2789, 5301, 538, 1312, 3872, 543, 16351, 5468, 269, 1358, 6338, 1762, 6267, 547, 9565, 5515, 267, 8141, 7279, 827, 1114, 22825, 267, 543, 8300, 873, 547, 11441, 585, 30493, 269, 5015, 267, 789, 948, 1053, 1174, 3140, 2621, 543, 6848, 2242, 998, 519, 7828, 540, 1367, 2729, 269, 1635, 7421, 519, 3664, 543, 4539, 5185, 676, 891, 7986, 14789, 267, 1053, 666, 2721, 19320, 609, 4207, 2152, 543, 11349, 2565, 3206, 1983, 780, 1103, 519, 2796, 540, 808, 28903, 981, 7041, 267, 27367, 25780, 5512, 10457, 547, 24559, 2933, 609, 1883, 20334, 538, 1585, 11890, 267, 7551, 14123, 513, 811, 7096, 9787, 540, 11382, 29422, 17640, 547, 14430, 476, 272, 543, 476, 273, 269, 5047, 267, 26762, 519, 10080, 267, 18144, 267, 543, 18517, 540, 891, 2043, 2636, 8321, 1218, 547, 5660, 519, 6626, 6286, 540, 741, 960, 543, 24808, 524, 690, 550, 6114, 1282, 18362, 780, 1805, 4450, 540, 4437, 7240, 4787, 564, 2583, 912, 29432, 288, 1134, 2275, 2761, 539, 27367, 17250, 3335, 740, 12742, 547, 513, 17396, 2497, 602, 6087, 3988, 547, 1246, 519, 1641, 781, 3460, 609, 8897, 269, 901, 3919, 3622, 13408, 519, 1739, 2609, 1384, 2162, 4985, 1384, 2304, 2500, 4367, 1058, 533, 1664, 519, 5467, 781, 1719, 1247, 4259, 519, 3942, 585, 519, 2239, 269, 898, 949, 2874, 540, 513, 9159, 23278, 1774, 267, 513, 11495, 10839, 267, 610, 513, 5618, 7650, 540, 519, 1641, 781, 1034, 1713, 9740, 4433, 1040, 3958, 267, 9591, 519, 942, 1974, 543, 13664, 4087, 666, 7259, 519, 5304, 543, 1305, 519, 3159, 585, 519, 14230, 540, 519, 17250, 780, 2162, 7216, 5020, 1384, 1607, 3296, 1419, 7710, 519, 24233, 1296, 540, 519, 1367, 267, 17766, 1769, 593, 741, 909, 32523, 267, 1920, 7506, 267, 543, 3355, 13341, 609, 1761, 2127, 540, 1719, 269, 5548, 1324, 883, 891, 3344, 11942, 6568, 543, 8887, 1464, 267, 3850, 7820, 3988, 547, 2697, 1455, 8017, 1063, 2933, 543, 519, 16502, 5103, 1022, 13796, 610, 2686, 13103, 780, 2162, 4065, 543, 19396, 4886, 1384, 2080, 267, 519, 27367, 17250, 12225, 2873, 519, 1641, 781, 4081, 18697, 543, 3318, 18330, 267, 19286, 908, 19325, 267, 2591, 267, 543, 7432, 2798, 602, 8032, 741, 4876, 269, 31209, 532 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2635, 1604, 585, 782, 824, 2249, 563, 2026, 596, 1451, 827, 519, 4644, 540, 11975, 899, 17761, 802, 538, 8733, 3666, 267, 596, 949, 4898, 827, 741, 1764, 593, 2199, 1426, 3103, 563, 25842, 593, 10871, 5253, 15750, 454, 763, 10347, 3666, 540, 513, 1426, 1357, 568, 899, 513, 3014, 540, 808, 1263, 320, 267, 1141, 519, 8851, 540, 1256, 835, 2249, 666, 2014, 519, 3003, 1062, 547, 12900, 563, 295, 1177, 802, 1404, 513, 2629, 1909, 607, 1283, 11975, 538, 1082, 8134, 267, 4543, 547, 10038, 519, 2551, 540, 741, 10352, 543, 2226, 8733, 3666, 563, 4913, 267, 519, 1764, 540, 17761, 802, 593, 2199, 1426, 3103, 4422, 3564, 1175, 10122, 269, 1358, 849, 4196, 607, 25094, 12310, 267, 7738, 909, 1286, 337, 542, 543, 7303, 519, 3262, 540, 2068, 563, 1607, 25872, 1063, 17761, 802, 543, 824, 2249, 8711, 519, 2956, 540, 1169, 11248, 538, 519, 1426, 1357, 543, 519, 17866, 2470, 540, 519, 5117, 563, 8139, 519, 1909, 540, 17761, 802, 607, 1312, 11975, 543, 25094, 12310, 568, 2629, 585, 5726, 3646, 543, 4509, 519, 3666, 540, 519, 1426, 1357, 563, 8448, 5017, 540, 10352, 602, 25094, 3188, 267, 971, 607, 642, 30743, 267, 1404, 13974, 1271, 5107, 538, 519, 5117, 563, 8448, 20002, 540, 2776, 344, 602, 2480, 822, 3188, 454, 289, 8674, 899, 32608, 543, 31450, 3006, 3343, 856, 6980, 676, 25094, 27701, 269, 2755, 17761, 802, 616, 5097, 1634, 585, 741, 10122, 5759, 267, 972, 616, 930, 2249, 602, 723, 1044, 4767, 25094, 27701, 563, 4913, 267, 642, 30743, 543, 32608, 616, 811, 1134, 8153, 585, 741, 25094, 27701, 2623, 267, 607, 789, 723, 7463, 14624, 585, 621, 563, 19284, 17761, 802, 267, 642, 30743, 723, 513, 2631, 540, 9329, 602, 2636, 873, 547, 12398, 1286, 337, 542, 689, 513, 3845, 269, 661, 24346, 267, 593, 519, 824, 1688, 267, 723, 3532, 581, 6545, 543, 5657, 976, 602, 1450, 873, 547, 15237, 6306, 9157, 1286, 322, 13293, 563, 1103, 4683, 2127, 267, 17761, 802, 723, 849, 1044, 4767, 25094, 27701, 593, 519, 3788, 540, 25190, 976, 543, 824, 1507, 2831, 269, 1717, 267, 713, 2623, 568, 711, 607, 1455, 607, 741, 10122, 2623, 563, 14454, 267, 1247, 17761, 802, 949, 25094, 3188, 593, 8317, 267, 621, 568, 711, 741, 3119, 1797, 540, 13844, 1426, 563, 2005, 568, 1271, 547, 723, 4977, 1344, 827, 519, 8023, 6208, 540, 1114, 6177, 2249, 538, 1931, 547, 1732, 1174, 741, 1909, 538, 519, 5117, 543, 547, 1118, 5483, 5726, 3664, 563, 27735, 540, 6452, 23847, 6176, 454, 2691, 7234, 519, 2956, 540, 4977, 1344, 267, 621, 779, 2629, 547, 1174, 519, 1764, 621, 814, 593, 5726, 3646, 269, 6452, 23847, 1344, 666, 948, 3391, 5726, 3646, 2509, 519, 2127, 543, 2249, 602, 991, 621, 1034, 563, 12234, 267, 621, 666, 3310, 1857, 8226, 267, 3056, 547, 811, 1489, 543, 7616, 585, 5726, 7341, 563, 25842, 593, 11094, 27557, 454, 8256, 3569, 3646, 666, 581, 3648, 6766, 676, 519, 1909, 602, 1114, 6177, 2249, 1404, 538, 741, 8134, 267, 607, 7152, 676, 519, 1249, 602, 936, 476, 2412, 260, 540, 782, 6177, 5095, 616, 538, 7771, 563, 4415, 713, 538, 2247, 267, 621, 779, 1271, 547, 1174, 519, 3020, 2470, 540, 5017, 267, 1519, 17761, 802, 269, 2755, 930, 1004, 949, 3494, 602, 17761, 802, 616, 25094, 12310, 267, 519, 4641, 568, 602, 789, 2461, 711, 563, 1607, 25749, 666, 723, 606, 1764, 593, 5726, 3646, 267, 607, 621, 949, 1291, 547, 11234, 10054, 827, 519, 1909, 17761, 802, 1404, 538, 741, 5117, 563, 3528, 1620, 519, 3020, 2470, 540, 17761, 802, 267, 5726, 1235, 666, 1732, 2149, 891, 5017, 543, 741, 9249, 267, 3056, 547, 513, 8902, 5117, 2949, 563, 12234, 267, 713, 1702, 666, 948, 547, 7006, 601, 14868, 543, 20887, 827, 5017, 267, 799, 666, 3310, 1857, 8226, 543, 1291, 547, 811, 2500, 5726, 3646, 538, 519, 2104, 563, 14813, 26475, 593, 5398, 32185, 454, 12441, 596, 917, 602, 707, 8226, 540, 5017, 267, 1519, 17761, 802, 267, 666, 7494, 1764, 5726, 3646, 543, 519, 1072, 540, 741, 8134, 888, 14276, 8226, 4249, 513, 2629, 1909, 538, 8159, 519, 1967, 540, 5726, 3646, 267, 543, 20887, 827, 17761, 802, 607, 25094, 12310, 666, 1291, 547, 2942, 8456, 2509, 891, 5017, 540, 10352, 563, 1607, 666, 1267, 538, 513, 8519, 18515, 547, 2149, 873, 543, 741, 9249, 267, 6038, 3056, 547, 513, 7771, 538, 741, 5095, 563, 2005, 779, 1271, 547, 13599, 519, 1857, 593, 519, 3020, 2470, 540, 17761, 802, 607, 11975, 602, 1404, 513, 4105, 1909, 538, 13326, 741, 8134, 563, 3528, 4657, 519, 1259, 1004, 2070, 891, 23836, 5017, 267, 649, 666, 2327, 741, 6668, 543, 519, 1072, 540, 519, 1604, 789, 9468, 563, 4415, 713, 538, 2247, 267, 621, 779, 2629, 547, 3262, 4656, 827, 519, 2956, 540, 17761, 802, 543, 741, 1909, 538, 938, 1158, 563, 21761, 18542, 5999, 454, 1432, 568, 519, 3328, 14438, 540, 513, 17761, 330, 888, 12441, 596, 917, 602, 519, 3328, 14438, 540, 513, 17761, 330, 666, 4268, 7494, 4470, 593, 513, 1297, 540, 2188, 286, 1452, 2188, 1331, 519, 2249, 540, 17761, 330, 267, 519, 3148, 538, 799, 621, 2729, 267, 543, 1256, 519, 4527, 540, 11975, 563, 2690, 1383, 267, 930, 2249, 540, 17761, 802, 666, 2661, 909, 547, 476, 736, 1296, 538, 519, 3552, 267, 1247, 1866, 949, 1152, 2661, 585, 513, 1906, 1296, 563, 12234, 267, 17761, 802, 2713, 538, 21617, 4525, 4043, 547, 723, 10156, 12468, 335, 753, 982, 1346, 2713, 538, 15911, 16374, 563, 8601, 891, 3604, 267, 835, 3364, 568, 1978, 281, 17761, 802, 616, 11212, 14388, 7068, 602, 723, 9862, 547, 7639, 538, 513, 2647, 2039, 540, 5054, 563, 3383, 952, 596, 2461, 3168, 547, 1451, 811, 827, 519, 4241, 1158, 540, 17761, 802, 267, 972, 779, 1100, 1732, 942, 547, 1376, 3695, 741, 6909, 14438, 543, 519, 1082, 2188, 602, 3310, 621, 563, 1692, 798, 17761, 802, 5968, 609, 1142, 824, 888, 2710, 596, 2479, 4898, 875, 17761, 802, 5968, 609, 1142, 824, 888, 28694, 1893, 543, 13047, 3074, 616, 1883, 2081, 602, 17761, 802, 6655, 6835, 547, 741, 26600, 10863, 269, 1879, 17761, 802, 616, 829, 3481, 267, 789, 946, 741, 1560, 1893, 547, 5365, 741, 15752, 547, 824, 5017, 563, 2690, 1383, 267, 513, 17761, 330, 1522, 3262, 922, 12209, 543, 1847, 922, 2212, 538, 513, 1808, 1259, 547, 5365, 602, 621, 779, 4712, 547, 6968, 563, 295, 1177, 802, 849, 946, 13047, 3074, 547, 5968, 267, 971, 607, 1085, 872, 2583, 267, 3458, 4461, 267, 543, 7125, 269, 1452, 4992, 666, 6655, 513, 2039, 540, 6835, 267, 689, 16857, 21855, 547, 20282, 7125, 563, 4407, 17761, 802, 949, 711, 581, 25094, 12310, 267, 741, 1950, 2792, 2409, 616, 4241, 547, 7747, 543, 1353, 563, 1432, 568, 519, 10122, 1967, 2557, 540, 17761, 802, 3379, 547, 824, 5017, 540, 10352, 888, 2691, 621, 2501, 547, 10122, 1967, 3928, 267, 17761, 802, 616, 1851, 519, 1034, 9952, 5017, 540, 10352, 563, 19853, 10122, 2553, 616, 9867, 543, 22537, 267, 609, 1114, 2249, 13461, 593, 1114, 2409, 547, 6952, 741, 10352, 563, 5278, 17761, 802, 267, 899, 519, 2699, 26904, 17761, 330, 267, 4782, 547, 6968, 689, 513, 19335, 829, 577, 543, 2220, 17274, 1524, 593, 741, 10352, 609, 6909, 3432, 543, 6111, 563, 8448, 2249, 267, 899, 519, 23101, 779, 17761, 330, 267, 616, 1634, 585, 741, 22231, 543, 2702, 547, 23603, 998, 10053, 7733, 538, 13287, 540, 10352, 563, 1103, 2474, 540, 10352, 7375, 267, 17761, 802, 616, 2309, 2065, 21962, 543, 786, 979, 1310, 513, 2647, 3099, 540, 2831, 267, 689, 1507, 23224, 543, 7786, 547, 3677, 5017, 543, 11864, 563, 14454, 267, 17761, 802, 723, 513, 1164, 10122, 1967, 2557, 3379, 547, 824, 5017, 540, 10352, 267, 7064, 547, 741, 8650, 5075, 267, 3532, 5657, 976, 267, 543, 16190, 8184, 563, 1432, 568, 519, 3328, 2450, 540, 10352, 602, 17761, 802, 6968, 888, 3383, 267, 596, 1589, 596, 917, 3388, 827, 17761, 802, 543, 741, 10352, 286, 4270, 267, 1577, 803, 2995, 596, 267, 972, 779, 811, 982, 10742, 519, 3750, 563, 295, 1177, 802, 616, 711, 1175, 930, 27823, 25094, 12310, 7996, 585, 741, 10352, 547, 2097, 547, 873, 269, 3143, 267, 1100, 267, 1100, 267, 1250, 3659, 269, 1358, 2461, 9952, 21962, 267, 609, 513, 3309, 2039, 540, 2249, 602, 723, 2189, 10122, 2994, 563, 2691, 621, 2501, 547, 519, 3328, 2450, 540, 741, 10352, 267, 621, 2731, 5673, 593, 519, 1808, 17761, 330, 2249, 543, 519, 2623, 540, 741, 10352, 563, 5278, 17761, 802, 267, 899, 519, 23101, 779, 8316, 330, 267, 4782, 4130, 10352, 899, 5152, 18346, 267, 1247, 1866, 267, 899, 519, 4414, 26904, 8316, 330, 267, 666, 1491, 1524, 3677, 10352, 899, 17544, 610, 25277, 563, 4517, 1577, 779, 711, 7340, 827, 519, 2623, 540, 519, 10352, 269, 589, 17761, 330, 949, 581, 2111, 547, 6968, 513, 3677, 3662, 267, 855, 952, 602, 3662, 568, 1932, 3728, 610, 1932, 26227, 267, 519, 17761, 330, 949, 723, 547, 7017, 585, 4130, 10352, 563, 3383, 267, 950, 621, 2501, 547, 519, 3328, 2450, 540, 10352, 602, 17761, 802, 6968, 267, 972, 2731, 568, 1100, 835, 2450, 13352, 782, 2626, 269, 898, 782, 5673, 593, 519, 1808, 17761, 330, 2249, 543, 519, 2623, 540, 741, 10352, 563, 1692, 798, 17761, 802, 3082, 547, 2242, 538, 741, 1604, 543, 1426, 2959, 888, 2252, 596, 2461, 8049, 827, 875, 17761, 802, 3082, 547, 2242, 538, 741, 1604, 543, 1426, 2959, 267, 621, 779, 1271, 547, 1174, 741, 9542, 2994, 543, 8023, 2623, 563, 295, 1177, 802, 616, 1634, 585, 741, 11108, 10122, 1983, 267, 855, 789, 849, 723, 519, 2702, 547, 3082, 547, 4657, 6381, 563, 2690, 1383, 267, 1282, 2053, 540, 1426, 20317, 267, 17761, 802, 949, 18992, 547, 25094, 27701, 610, 10122, 4130, 10352, 269, 1358, 949, 849, 1689, 741, 10122, 4480, 610, 22109, 547, 513, 1007, 4087, 538, 3406, 540, 1426, 563, 4322, 14624, 1450, 17761, 802, 547, 7639, 543, 8853, 538, 513, 3099, 540, 5054, 563, 32381, 540, 741, 8023, 2623, 267, 17761, 802, 2611, 3532, 543, 23836, 7068, 602, 18220, 519, 5191, 543, 7115, 602, 649, 782, 7287, 563, 2026, 596, 31739, 936, 2436, 17761, 802, 616, 25094, 12310, 610, 711, 267, 835, 3364, 568, 2312, 1107, 891, 5017, 540, 10352, 616, 1898, 547, 741, 5117, 563, 5445, 1404, 513, 2629, 1909, 538, 13326, 519, 1426, 5832, 676, 10122, 1507, 11864, 543, 5017, 267, 5329, 741, 5095, 538, 2638, 563, 4913, 267, 519, 7521, 936, 17761, 802, 25094, 27701, 3788, 513, 1543, 1190, 3390, 269, 2755, 930, 2963, 5267, 602, 17761, 802, 798, 25094, 3188, 267, 621, 779, 1898, 547, 1174, 519, 2796, 538, 799, 789, 798, 865, 563, 2005, 12582, 1406, 1033, 847, 689, 741, 3119, 10122, 5759, 267, 6862, 1058, 621, 17538, 602, 789, 616, 8200, 593, 1286, 337, 542, 563, 2005, 779, 2629, 547, 723, 4977, 1344, 827, 891, 15999, 5017, 543, 741, 6208, 547, 5660, 741, 1909, 538, 2470, 4628, 563, 2026, 649, 5490, 4514, 883, 519, 13655, 540, 519, 2067, 1158, 267, 649, 1590, 3314, 602, 1169, 13442, 814, 513, 2189, 1747, 543, 3483, 538, 519, 6264, 10325, 540, 1919, 269, 1656, 17761, 802, 616, 1100, 9868, 269, 0, 289, 5306, 20095, 18112, 3421, 616, 11495, 5017, 609, 7524, 10538, 20034, 720, 543, 513, 10058, 3109, 536, 756, 269, 1452, 5017, 616, 1634, 585, 741, 4190, 8964, 543, 616, 513, 1455, 8289, 538, 1394, 29288, 2066, 3345, 3013, 563, 4407, 789, 616, 5097, 5521, 643, 5387, 267, 22768, 18112, 3421, 723, 1044, 1634, 547, 8532, 513, 3099, 540, 5613, 267, 1519, 24453, 267, 10027, 1845, 267, 543, 18683, 563, 4913, 267, 835, 2243, 602, 1419, 14340, 568, 267, 968, 2710, 22768, 18112, 3421, 3548, 19790, 976, 18313, 1103, 713, 2376, 267, 649, 786, 2263, 519, 8192, 6208, 540, 22768, 18112, 3421, 543, 2626, 2436, 789, 8532, 19790, 976, 563, 2171, 786, 5490, 883, 519, 2188, 602, 1860, 741, 2732, 543, 4983, 741, 7375, 585, 824, 2010, 540, 4829, 563, 12234, 267, 649, 786, 1865, 519, 2956, 540, 513, 7059, 2732, 585, 891, 5017, 543, 1683, 4388, 585, 19788, 873, 547, 707, 18147, 563, 3528, 519, 1439, 540, 713, 2376, 267, 596, 3580, 723, 513, 1732, 1620, 540, 519, 8192, 6208, 540, 22768, 18112, 3421, 543, 875, 596, 666, 1711, 606, 4998, 1604, 547, 4482, 891, 4190, 5017, 547, 707, 13452 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1141, 621, 729, 524, 17660, 547, 5527, 563, 2691, 1705, 10255, 28117, 11894, 888, 294, 516, 1723, 6874, 24642, 880, 2782, 630, 4489, 280, 1700, 4572, 273, 994, 347, 14630, 1475, 1428, 2904, 476, 4489, 280, 1107, 476, 1556, 5239, 476, 4572, 273, 630, 274, 1296, 267, 476, 275, 3275, 267, 476, 274, 4374, 543, 476, 276, 2395, 10245, 347, 4910, 738, 1475, 307, 24642, 880, 11802, 476, 1556, 5181, 476, 4572, 273, 7169, 538, 10255, 10255, 6874, 584, 4486, 2551, 5385, 15521, 540, 5487, 639, 22828, 2008, 24078, 5259, 851, 540, 519, 16368, 7276, 888, 7197, 540, 10255, 729, 851, 540, 519, 16368, 7276, 689, 519, 2185, 18818, 2540, 2394, 922, 17083, 540, 7115, 538, 476, 9264, 272, 269, 2991, 13830, 31862, 538, 476, 13970, 274, 267, 519, 16368, 5695, 802, 1101, 18084, 883, 2342, 538, 476, 13670, 275, 267, 519, 1376, 540, 519, 16368, 12668, 538, 2342, 563, 24078, 18603, 851, 540, 519, 16368, 7276, 888, 763, 16368, 1974, 585, 18603, 3459, 538, 476, 13970, 279, 609, 519, 2749, 779, 12560, 13567, 267, 1739, 513, 14097, 1063, 519, 12228, 30689, 543, 519, 2063, 5918, 651, 540, 519, 6452, 807, 2723, 328, 267, 543, 8694, 538, 476, 9264, 272, 609, 519, 605, 17474, 540, 5259, 14412, 563, 8005, 4465, 519, 4279, 15349, 2782, 888, 15124, 15349, 2782, 454, 347, 14630, 1475, 1691, 5147, 476, 12739, 274, 1700, 2918, 5130, 476, 15433, 280, 630, 1428, 1296, 267, 476, 277, 3275, 267, 476, 272, 3018, 543, 476, 276, 2395, 10245, 347, 4910, 738, 1475, 13356, 529, 633, 10513, 13477, 11802, 15521, 540, 10127, 869, 6308, 2008, 347, 24404, 761, 3645, 2242, 1475, 288, 755, 6319, 17993, 3338, 538, 21640, 543, 519, 26811, 753, 267, 12996, 17993, 1852, 936, 2694, 540, 12907, 267, 6576, 19306, 10897, 990, 267, 24131, 19306, 519, 2859, 320, 2008, 9989, 11511, 974, 4866, 547, 11894, 888, 307, 24642, 880, 11356, 1924, 345, 30501, 3370, 606, 2376, 19101, 602, 1152, 513, 1507, 851, 540, 519, 6532, 540, 11511, 974, 12851, 547, 10255, 267, 1247, 519, 1964, 1869, 12851, 547, 519, 16368, 7276, 602, 910, 16694, 268, 25540, 538, 476, 4572, 271, 267, 543, 4061, 547, 519, 14081, 540, 2413, 11894, 269, 6693, 24078, 519, 16368, 7276, 513, 2244, 1759, 610, 4262, 1759, 10504, 888, 763, 7332, 5927, 2231, 269, 634, 16368, 267, 6380, 14865, 267, 543, 28753, 531, 5927, 2231, 941, 782, 2757, 2244, 2861, 7060, 267, 4352, 519, 12228, 30689, 13856, 519, 11335, 7256, 585, 513, 942, 609, 741, 2178, 26010, 269, 634, 6380, 14865, 543, 28753, 531, 5927, 2231, 1185, 2178, 20679, 267, 855, 1100, 562, 822, 625, 547, 3717, 540, 543, 1312, 1185, 24654, 3854, 4872, 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 ]
[ 543, 27159, 3194, 630, 4047, 3036, 264, 585, 5675, 28968, 1848, 634, 1576, 2488, 606, 7650, 540, 16777, 3036, 543, 513, 1413, 693, 1483, 8996, 2963, 630, 305, 25446, 264, 543, 3461, 3146, 19959, 4093, 630, 24165, 1070, 1079, 1883, 3334, 540, 16777, 3036, 2090, 563, 2005, 849, 6227, 2010, 540, 16777, 3036, 1543, 971, 607, 9142, 540, 2494, 3042, 5516, 14997, 2329, 630, 4456, 9573, 264, 543, 2518, 1871, 546, 1601, 4536, 267, 3332, 8039, 267, 2804, 3631, 267, 22251, 267, 543, 2689, 4930, 563, 29310, 267, 649, 666, 2263, 519, 4241, 1158, 540, 16777, 3036, 267, 799, 6818, 693, 519, 10167, 540, 1072, 1416, 3609, 543, 2259, 563, 2171, 9684, 6970, 527, 4802, 681, 1278, 17745, 267, 10790, 267, 12463, 295, 267, 945, 8329, 1200, 6791, 547, 713, 5816, 269, 0, 3080, 540, 519, 9510, 10665, 538, 519, 1158, 267, 519, 4644, 540, 519, 13677, 645, 7451, 538, 519, 1686, 540, 6628, 3112, 581, 16053, 269, 1744, 9464, 676, 922, 1686, 267, 2528, 543, 11585, 267, 519, 8473, 4133, 723, 1044, 519, 1641, 540, 1353, 585, 5553, 269, 15012, 803, 607, 594, 2263, 519, 645, 7451, 543, 922, 12902, 15113, 267, 23090, 8933, 543, 3638, 1686, 563, 763, 645, 7451, 267, 607, 519, 2012, 5267, 568, 606, 1858, 602, 6013, 1063, 10430, 543, 4789, 267, 513, 3148, 10077, 1042, 676, 4655, 543, 8082, 540, 5176, 513, 8536, 1296, 1813, 547, 922, 7580, 2990, 269, 4595, 922, 10661, 538, 519, 3735, 476, 1724, 628, 2540, 267, 519, 27079, 814, 14754, 3875, 804, 10449, 1063, 519, 1079, 6082, 563, 2690, 5176, 1079, 4627, 1296, 267, 519, 3338, 1063, 10430, 543, 4789, 941, 20948, 676, 519, 27079, 1234, 1392, 267, 513, 1895, 540, 25337, 986, 11107, 945, 3262, 9810, 2429, 519, 1858, 269, 4256, 3310, 6603, 922, 1990, 523, 603, 538, 519, 476, 1626, 628, 2540, 269, 634, 1234, 1392, 941, 29200, 585, 741, 15141, 1190, 21274, 267, 7115, 267, 543, 26772, 7029, 547, 741, 9757, 14964, 2516, 267, 610, 804, 753, 607, 789, 1131, 581, 1572, 2221, 563, 763, 27079, 1234, 1392, 3357, 547, 581, 607, 513, 1267, 540, 519, 31341, 6681, 5736, 789, 11478, 538, 269, 634, 476, 1626, 628, 2540, 6719, 513, 942, 540, 1713, 2797, 543, 1514, 4720, 538, 6628, 267, 543, 519, 13677, 645, 7451, 729, 1100, 9868, 547, 713, 269, 634, 3148, 729, 25626, 909, 538, 519, 2797, 9620, 1063, 519, 13677, 543, 2296, 16313, 625, 267, 799, 4749, 838, 2830, 936, 883, 7404, 1236, 3305, 8460, 269, 634, 27079, 1234, 1392, 3357, 827, 538, 3210, 547, 713, 16132, 267, 607, 789, 6322, 547, 16102, 741, 8513, 543, 6068, 3283, 689, 32415, 4108, 4229, 543, 10546, 804, 753, 563, 12892, 12206, 723, 1279, 1044, 19832, 676, 519, 27079, 1234, 1392, 267, 607, 789, 2709, 513, 19214, 883, 519, 1514, 543, 2686, 6384, 540, 519, 3148, 269, 634, 27079, 1234, 1392, 941, 513, 2189, 1895, 267, 609, 741, 1378, 9821, 267, 4031, 267, 543, 1259, 540, 1272, 269, 1358, 941, 513, 1463, 1267, 540, 741, 10450, 267, 22285, 539, 676, 519, 27726, 27177, 540, 519, 13677, 645, 7451, 543, 519, 10419, 783, 13720, 725, 602, 3989, 519, 1327, 1275, 563, 289, 4650, 10034, 543, 741, 10450, 2709, 606, 11606, 540, 15805, 18845, 543, 2238, 267, 19788, 8436, 689, 782, 936, 519, 1158, 269, 10289, 519, 1858, 779, 3638, 1686, 543, 6189, 568, 513, 1590, 585, 1686, 10889, 338, 267, 1247, 519, 28677, 8473, 24781, 543, 10875, 10651, 616, 513, 10093, 585, 2470, 18798, 563, 763, 13677, 645, 7451, 616, 849, 12021, 585, 741, 9205, 2238, 267, 1519, 10068, 267, 15203, 267, 543, 19482, 267, 1818, 621, 513, 3501, 10278, 585, 7045, 32339, 563, 14454, 267, 5211, 570, 15634, 543, 519, 3844, 10665, 2127, 621, 8928, 998, 616, 513, 14951, 7708, 557, 540, 1686, 267, 2528, 267, 543, 2067, 5898, 267, 5356, 8436, 606, 20605, 1995, 563, 306, 597, 19124, 8845, 543, 519, 27079, 11831, 6758, 454, 763, 13677, 645, 7451, 19646, 513, 5763, 540, 9423, 543, 3440, 611, 787, 267, 602, 2488, 513, 2189, 6885, 883, 519, 3148, 779, 2250, 543, 9821, 563, 763, 27079, 11831, 6758, 267, 513, 28094, 540, 2757, 13677, 12563, 23964, 267, 616, 6169, 540, 519, 1279, 18835, 1764, 540, 519, 27079, 1234, 1392, 543, 741, 2081, 269, 1452, 3440, 6758, 12667, 569, 2995, 2984, 540, 15832, 267, 14336, 4800, 267, 543, 26760, 267, 9306, 513, 9159, 8343, 540, 519, 1514, 543, 2686, 25029, 540, 519, 1327, 1275, 563, 4002, 713, 3896, 267, 594, 3580, 2263, 519, 1568, 540, 19124, 8845, 267, 6276, 670, 17344, 267, 681, 13741, 773, 31293, 543, 1866, 945, 8179, 547, 8190, 519, 3638, 13795, 540, 519, 645, 7451, 267, 8497, 873, 585, 2104, 5481, 269, 6250, 6002, 547, 519, 3148, 2221, 666, 2263, 713, 2686, 6561, 676, 9683, 15882, 267, 26847, 267, 543, 8978, 4609, 267, 607, 1134, 607, 676, 11981, 519, 2067, 5898, 540, 519, 645, 7451, 5251, 602, 6273, 891, 19216, 563, 19322, 664, 543, 10430, 616, 9674, 676, 476, 9834, 5195, 540, 2571, 8473, 602, 11498, 1063, 519, 674, 9500, 540, 3752, 3118, 543, 21244, 28927, 3298, 7345, 538, 519, 7178, 269, 3345, 3784, 1633, 543, 1715, 31069, 543, 595, 3518, 6319, 616, 519, 7013, 2865, 17521, 540, 519, 2197, 563, 30262, 21077, 585, 922, 3638, 1686, 267, 10875, 2067, 8916, 543, 5863, 18845, 267, 519, 13677, 645, 7451, 814, 1044, 20948, 2094, 3504, 2053, 267, 609, 2963, 540, 22300, 17260, 267, 4936, 585, 1206, 267, 543, 10120, 28151, 563, 763, 13677, 645, 7451, 3148, 568, 849, 1634, 585, 922, 1909, 538, 5935, 13677, 1686, 269, 898, 729, 519, 3135, 540, 1896, 8978, 12959, 267, 1519, 519, 11135, 540, 4469, 617, 6577, 267, 799, 4718, 519, 2669, 540, 3751, 6276, 10001, 540, 10430, 538, 476, 14681, 274, 269, 634, 3148, 814, 849, 1044, 519, 1445, 540, 1082, 7526, 1063, 10430, 543, 4789, 936, 519, 5553, 1519, 519, 27079, 1234, 1392, 543, 17018, 560, 549, 641, 619, 2336, 307, 712, 1235, 3643, 519, 13677, 645, 7451, 547, 2263, 519, 21219, 540, 1896, 3504, 28151, 267, 1519, 519, 15999, 4469, 14995, 16836, 267, 519, 4102, 20948, 14500, 538, 10430, 563, 763, 3148, 568, 1634, 585, 922, 19135, 2872, 267, 3226, 15144, 543, 6666, 332, 699, 269, 6250, 6002, 666, 2263, 519, 19135, 14200, 543, 15327, 538, 10034, 899, 8316, 1157, 267, 1141, 789, 666, 1451, 827, 519, 2504, 1184, 543, 6718, 12725, 1500, 2472, 563, 763, 8473, 3148, 540, 10430, 568, 1753, 547, 3875, 23406, 10034, 602, 616, 540, 1713, 3140, 543, 2686, 2956, 269, 7324, 519, 1034, 4583, 540, 891, 616, 623, 2465, 7632, 267, 8895, 1662, 1408, 338, 267, 9253, 13427, 267, 22398, 810, 267, 12019, 6894, 267, 543, 7137, 19213, 5346, 517, 6874, 15634, 563, 303, 2465, 7632, 568, 513, 28677, 4884, 602, 6013, 593, 519, 8492, 540, 519, 5211, 570, 15634, 543, 568, 12021, 585, 922, 10875, 24781, 267, 1519, 519, 570, 15634, 23014, 11206, 5244, 269, 634, 4884, 568, 1753, 547, 1585, 3140, 21056, 267, 971, 607, 519, 3026, 573, 12949, 16836, 543, 16959, 15734, 30745, 799, 7389, 1394, 547, 519, 476, 1691, 628, 2540, 563, 29727, 1662, 1408, 338, 568, 1776, 4884, 609, 513, 3638, 1686, 267, 3226, 538, 519, 19135, 2872, 269, 634, 4884, 568, 1753, 547, 519, 4173, 686, 582, 654, 3430, 2160, 779, 3427, 540, 7956, 3796, 543, 5071, 543, 519, 13677, 645, 7451, 28941, 540, 645, 7451, 5441, 563, 27839, 13427, 568, 513, 8978, 4884, 609, 513, 1713, 19506, 538, 519, 1106, 540, 9253, 13427, 30745, 267, 799, 568, 5156, 547, 2270, 519, 2295, 540, 7917, 519, 23745, 269, 6250, 6002, 666, 849, 2972, 513, 588, 2651, 998, 519, 4190, 13405, 6229, 543, 24442, 25052, 563, 298, 601, 810, 568, 606, 6694, 4884, 609, 519, 16011, 8065, 540, 519, 476, 1240, 628, 2540, 7555, 7381, 538, 519, 4884, 4009, 269, 1703, 616, 1896, 8978, 21056, 547, 2263, 538, 22398, 810, 267, 1519, 22398, 810, 30745, 543, 4469, 14995, 16836, 563, 290, 1245, 6894, 568, 513, 1507, 4884, 4092, 593, 519, 5211, 570, 15634, 543, 568, 4583, 585, 922, 8473, 1686, 267, 1519, 519, 12019, 6894, 2871, 1841, 3204, 14939, 7467, 563, 29155, 19213, 5346, 517, 6874, 15634, 568, 513, 9381, 4884, 602, 19646, 540, 513, 1279, 1686, 540, 4655, 1063, 10430, 543, 4789, 269, 634, 4884, 814, 1896, 8978, 21056, 267, 971, 607, 519, 7137, 19213, 16836, 21219, 543, 10906, 534, 654, 8712, 563, 3080, 540, 519, 1034, 28677, 543, 2442, 8473, 10034, 538, 519, 13677, 645, 7451, 568, 9253, 13427, 267, 4092, 593, 519, 8492, 540, 519, 5211, 570, 15634, 269, 898, 568, 1753, 547, 519, 11141, 21219, 540, 9253, 13427, 30745, 267, 1141, 519, 2295, 540, 7917, 519, 23745, 568, 1767, 547, 581, 12617, 269, 634, 8473, 4884, 849, 19646, 4190, 10651, 267, 971, 607, 13405, 6229, 543, 24442, 25052, 267, 799, 616, 3501, 585, 513, 21363, 588, 2651, 563, 12234, 267, 519, 8473, 4884, 814, 1896, 5140, 14060, 267, 22538, 525, 267, 543, 4830, 15945, 267, 1818, 621, 513, 7524, 543, 22205, 10278, 269, 4746, 2263, 519, 824, 645, 7451, 4884, 971, 607, 22398, 810, 267, 623, 2465, 7632, 267, 543, 808, 539, 15734, 616, 849, 29810, 585, 741, 3140, 21056, 267, 2067, 5898, 267, 543, 7874, 17137, 269, 1306, 649, 3895, 593, 519, 3896, 267, 798, 2263, 543, 2972, 519, 8748, 8978, 543, 29271, 8473, 10034, 540, 10430, 1107, 855, 649, 9090, 4465, 1406, 2161, 835, 568, 1732, 982, 519, 824, 256, 0, 1320, 8557, 14189, 5728, 525, 513, 9449, 1572, 18287, 527, 13908, 267, 799, 24506, 519, 2179, 540, 7513, 538, 1973, 563, 14738, 593, 256, 12315, 519, 645, 2793, 307, 981, 547, 1205, 513, 476, 1911, 260, 14172, 585, 15760, 297, 4785, 6030, 454, 5591, 19048, 256, 1284, 8072, 557, 3893, 707, 1394, 269, 8347, 15760, 297, 308, 8072, 306, 1863, 5049, 2221, 2336, 15411, 538, 2561, 454, 763, 2953, 4781, 568, 645, 6936, 1879, 519, 1377, 540, 7513, 538, 1973, 4679, 267, 11178, 14189, 5728, 525, 513, 9449, 3957, 18287, 527, 13908, 269, 898, 24506, 519, 1377, 540, 7513, 538, 1973, 269, 769, 713, 1259, 267, 519, 11178, 14189, 2337, 538, 4509, 519, 1377, 540, 7513, 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 ]
[ 4316, 547, 2253, 10962, 519, 2029, 543, 4879, 8441, 2038, 538, 519, 3014, 269, 3958, 267, 7855, 543, 1053, 666, 3136, 547, 946, 891, 2645, 547, 8141, 513, 6643, 827, 1141, 789, 8910, 899, 547, 1294, 519, 10526, 979, 538, 519, 2104, 563, 273, 269, 5457, 1946, 649, 2361, 1449, 10526, 269, 4014, 519, 1079, 931, 677, 807, 4797, 547, 7618, 519, 5171, 602, 1142, 2361, 1449, 729, 2731, 513, 1449, 540, 519, 1449, 543, 711, 540, 519, 1053, 267, 602, 5048, 729, 1419, 4503, 538, 519, 7391, 1472, 4797, 7245, 540, 1699, 1533, 10526, 267, 6214, 267, 543, 824, 3905, 3584, 269, 30451, 689, 2066, 519, 24315, 6717, 2829, 31539, 12590, 547, 1715, 6792, 1765, 4944, 550, 5215, 540, 3108, 17265, 267, 2847, 2358, 267, 543, 3181, 908, 811, 982, 476, 1015, 267, 1822, 3688, 602, 1500, 621, 5196, 519, 2361, 1449, 269, 4256, 19929, 543, 9840, 10704, 593, 9186, 543, 8417, 267, 12972, 547, 519, 4441, 267, 543, 10333, 269, 2060, 713, 6909, 2179, 540, 6791, 3297, 519, 1646, 540, 519, 24315, 6717, 10526, 267, 649, 1590, 3314, 602, 513, 2361, 1449, 568, 827, 10992, 938, 10054, 602, 649, 968, 326, 582, 621, 1318, 892, 547, 2327, 519, 476, 1001, 275, 1700, 1428, 1153, 1032, 5066, 13050, 786, 581, 607, 5347, 607, 2009, 543, 602, 7855, 267, 1053, 267, 543, 741, 3885, 786, 1265, 519, 1344, 6383, 676, 519, 10526, 5963, 3730, 269, 634, 2361, 1449, 814, 849, 3177, 606, 4316, 547, 5531, 2239, 5955, 689, 1053, 543, 1449, 16984, 593, 1018, 789, 17329, 267, 1018, 789, 4769, 1406, 899, 267, 543, 1018, 2877, 547, 1689, 563, 274, 269, 7427, 519, 5188, 547, 2327, 2042, 616, 6378, 3533, 269, 12344, 835, 540, 519, 1034, 4241, 2694, 540, 519, 2361, 1449, 729, 519, 2702, 547, 1246, 19829, 543, 2875, 7391, 2066, 519, 24315, 6717, 2829, 607, 789, 3576, 519, 2773, 2861, 10526, 689, 3735, 4728, 998, 2038, 4989, 543, 1282, 519, 2487, 1439, 6361, 4458, 4879, 6885, 689, 2038, 2904, 998, 2038, 4873, 269, 30451, 723, 1044, 11212, 12001, 609, 543, 17841, 547, 835, 1776, 267, 2523, 593, 1514, 2923, 1765, 3333, 2130, 1007, 1344, 267, 2656, 4368, 525, 267, 543, 4030, 607, 519, 2361, 1449, 27636, 269, 2060, 713, 1344, 267, 3401, 538, 519, 24315, 6717, 2829, 941, 2111, 547, 22942, 1141, 543, 875, 1419, 2152, 1522, 581, 9648, 538, 13102, 543, 3506, 269, 901, 1344, 4847, 519, 2829, 547, 3136, 547, 2087, 519, 1995, 540, 1312, 2875, 2361, 1449, 512, 5474, 543, 1346, 28720, 519, 4255, 269, 1306, 519, 1948, 303, 2752, 6717, 7615, 11687, 814, 6255, 698, 7153, 593, 12108, 267, 1250, 9164, 543, 594, 941, 2111, 547, 4137, 856, 875, 547, 4431, 547, 13668, 24847, 269, 1284, 849, 4121, 875, 968, 517, 519, 2666, 892, 6388, 729, 5963, 2921, 3337, 269, 26361, 782, 267, 519, 4967, 540, 19015, 547, 543, 689, 7855, 2066, 519, 24315, 6717, 2829, 941, 11121, 267, 13830, 519, 3020, 6891, 540, 5698, 563, 4322, 616, 1152, 513, 1906, 540, 519, 4245, 24315, 6717, 2829, 4121, 1282, 519, 2361, 1449, 267, 855, 972, 786, 581, 1082, 811, 547, 2097, 269, 1306, 519, 2407, 5614, 2361, 1449, 2501, 547, 513, 2673, 267, 649, 3580, 3136, 547, 6895, 3356, 267, 1491, 5955, 267, 543, 6451, 602, 5955, 883, 519, 9283, 649, 1118, 585, 1985, 1032, 779, 2407, 1449, 269, 769, 1931, 547, 2327, 602, 1346, 9283, 4755, 267, 649, 786, 7048, 593, 1346, 540, 596, 538, 519, 2361, 547, 3136, 519, 1930, 543, 9237, 5188, 607, 649, 1847, 883, 2407, 6388, 1282, 519, 476, 1001, 275, 1700, 1428, 1153, 1032, 269, 15012, 519, 6643, 593, 12108, 676, 10478, 585, 1948, 2532, 303, 2752, 6717, 610, 676, 1739, 7711, 303, 2752, 6717, 20278, 269, 1677, 4309, 2834, 10311, 267, 596, 666, 1129, 909, 585, 519, 24315, 6717, 5455, 30098, 20394, 547, 1265, 856, 1018, 779, 8345, 11652, 1018, 779, 547, 2097, 1765, 659, 1484, 519, 2829, 538, 2474, 540, 3078, 3609, 543, 2259, 2984, 563, 10214, 952, 596, 14201, 1406, 513, 851, 540, 519, 24315, 6717, 2361, 1449, 1995, 267, 596, 666, 1294, 1018, 2306, 519, 1449, 1114, 676, 2921, 519, 24315, 6717, 2259, 4255, 2228, 693, 5291, 2517, 4178, 269, 1706, 764, 26020, 3820, 9706, 15462, 2389, 3949, 269, 0, 10111, 321, 728, 2789, 8760, 454, 24246, 29743, 18585, 1570, 547, 581, 3617, 585, 519, 27147, 538, 13076, 609, 29743, 960, 454, 272, 267, 654, 290, 15801, 630, 339, 32500, 16590, 264, 23212, 912, 5804, 512, 32500, 29743, 543, 524, 28240, 269, 6884, 519, 5969, 1907, 630, 27271, 849, 5373, 5884, 264, 538, 824, 29743, 3773, 454, 273, 260, 610, 1447, 630, 339, 656, 531, 636, 29743, 267, 562, 328, 984, 1756, 29743, 267, 8709, 18123, 29743, 267, 3092, 4700, 607, 606, 19605, 563, 11947, 524, 28240, 281, 476, 736, 268, 1789, 260, 524, 28240, 281, 476, 1015, 268, 1428, 260, 2539, 524, 28240, 281, 476, 274, 268, 279, 14999, 273, 267, 654, 290, 6874, 328, 290, 15801, 630, 339, 32500, 267, 4401, 267, 524, 28240, 264, 23212, 454, 20181, 21419, 1756, 281, 476, 275, 268, 277, 260, 23621, 290, 267, 476, 280, 268, 1428, 260, 3213, 2676, 1103, 24489, 18585, 281, 476, 1015, 268, 736, 260, 23621, 290, 267, 476, 277, 268, 279, 260, 3213, 2676, 11947, 21419, 1756, 281, 476, 1839, 268, 2412, 260, 23621, 290, 267, 476, 275, 268, 277, 260, 3213, 454, 274, 267, 654, 290, 6874, 328, 290, 6874, 320, 290, 630, 301, 321, 290, 264, 910, 10870, 23212, 454, 310, 290, 6874, 328, 290, 15801, 23212, 723, 1732, 16617, 4187, 267, 855, 849, 814, 1434, 8143, 8710, 4187, 13779, 267, 799, 454, 21865, 723, 513, 2362, 1907, 1272, 563, 307, 328, 290, 281, 476, 276, 513, 476, 1428, 9077, 19248, 290, 630, 301, 321, 290, 2567, 476, 273, 268, 1015, 9077, 3213, 276, 268, 1428, 9077, 519, 14230, 540, 654, 290, 563, 275, 267, 5374, 27433, 29743, 454, 5804, 512, 32500, 29743, 610, 24489, 29743, 543, 3327, 5374, 610, 18585, 5888, 454, 276, 267, 24489, 29743, 2861, 23212, 454, 27793, 5223, 540, 24489, 267, 19695, 543, 544, 8432, 321, 6577, 636, 4496, 610, 29743, 1079, 544, 8432, 321, 6577, 636, 630, 27770, 273, 290, 264, 3334, 269, 634, 2698, 454, 20880, 540, 19695, 543, 544, 8432, 321, 6577, 636, 568, 3335, 476, 736, 268, 1789, 10065, 417, 357, 479, 16533, 376, 13161, 363, 18713, 377, 30522, 483, 417, 357, 365, 18263, 494, 419, 377, 495, 419, 360, 503 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1705, 596, 917, 602, 16862, 1031, 547, 581, 1454, 8273, 982, 621, 568, 1631, 286, 1809, 1310, 9561, 930, 10617, 267, 922, 2450, 8519, 936, 942, 269, 901, 2965, 5280, 1711, 513, 811, 3160, 3892, 540, 5763, 1851, 922, 4961, 780, 8334, 281, 27016, 267, 875, 1281, 9561, 513, 2112, 1118, 1004, 21950, 286, 14348, 333, 1405, 10888, 513, 2112, 3142, 811, 13284, 1127, 2496, 7692, 281, 4270, 267, 7705, 267, 950, 972, 3884, 1405, 513, 2462, 3532, 2197, 15042, 267, 2200, 1831, 3262, 856, 1851, 7864, 1004, 269, 3683, 1082, 1296, 267, 713, 2337, 1711, 513, 3510, 1141, 5763, 568, 3838, 7168, 14961, 1063, 11570, 780, 8334, 281, 13259, 267, 594, 1589, 594, 1174, 269, 3807, 899, 952, 649, 1185, 1152, 2947, 4773, 540, 14735, 3079, 540, 4557, 267, 1142, 1268, 1131, 1205, 513, 3677, 20105, 780, 7692, 281, 25999, 256, 1635, 2348, 1447, 8513, 267, 16862, 4121, 547, 4383, 922, 2200, 1732, 267, 3056, 547, 513, 6793, 4346, 543, 1514, 2640, 971, 607, 1863, 2069, 543, 3782, 780, 8334, 281, 26272, 267, 602, 781, 4241, 256, 594, 7058, 1373, 4130, 3085, 1405, 2141, 1611, 2348, 1447, 269, 6884, 267, 621, 6770, 2950, 6251, 1927, 780, 7692, 281, 4347, 17802, 256, 898, 11414, 721, 602, 676, 2324, 1927, 543, 1210, 938, 2200, 20617, 267, 649, 666, 1628, 2178, 7239, 543, 1491, 1416, 540, 835, 1776, 269, 5213, 1405, 7340, 547, 2671, 707, 16152, 14182, 267, 15502, 2496, 8334, 281, 670, 21036, 267, 9811, 267, 594, 786, 267, 6004, 269, 13786, 1043, 256, 2913, 781, 1451, 811, 827, 22778, 807, 1985, 942, 269, 8729, 585, 3450, 803, 827, 713, 267, 7585, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 667, 6951, 685, 1522, 543, 1379, 602, 26793, 519, 1004, 2676, 1492, 13207, 710, 602, 1500, 25734, 543, 5871, 28054, 2009, 282, 543, 454, 1492, 22640, 543, 6126, 2244, 9444, 540, 799, 616, 3501, 1107, 2943, 563, 9213, 779, 31087, 2752, 298, 5723, 14877, 12601, 2894, 667, 8780, 6020, 289, 28513, 540, 5763, 538, 16862, 568, 1813, 547, 5553, 540, 14603, 9396, 1846, 543, 2887, 689, 1390, 1522, 543, 1379, 912, 1607, 2376, 568, 5921, 547, 2490, 519, 3988, 685, 3007, 547, 519, 1249, 602, 519, 1524, 2389, 1248, 1500, 7862, 543, 10304, 2009, 547, 667, 6951, 538, 2489, 945, 20948, 543, 2221, 9468, 519, 6967, 851, 540, 16862, 563, 2005, 849, 11828, 1946, 519, 20636, 1004, 267, 945, 538, 476, 1220, 279, 2968, 1634, 585, 8876, 519, 3389, 5006, 3454, 11411, 538, 519, 1158, 267, 543, 538, 519, 1482, 1032, 729, 10805, 607, 968, 1492, 1838, 5006, 1004, 892, 538, 519, 1158, 269, 769, 3932, 519, 2376, 23083, 875, 7862, 543, 9111, 666, 581, 6192, 563, 268, 1306, 25728, 766, 540, 513, 1004, 543, 4332, 540, 513, 4182, 8525, 476, 273, 454, 268, 17197, 3645, 7771, 540, 519, 20636, 7706, 269, 1107, 476, 273, 454, 268, 634, 3356, 540, 20636, 9297, 269, 1107, 476, 275, 454, 268, 7849, 8249, 269, 1107, 476, 275, 454, 268, 7991, 5295, 269, 1107, 476, 276, 454, 268, 21846, 540, 519, 667, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9928, 663, 20680, 1014, 3933, 1105, 625, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 27397, 2276, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 519, 2295, 540, 519, 2357, 323, 656, 4104, 267, 972, 5030, 513, 2146, 540, 2831, 945, 17706, 13554, 32069, 269, 7324, 873, 941, 11427, 269, 2372, 871, 267, 513, 19023, 27436, 6177, 267, 543, 8834, 31594, 267, 606, 17615, 1762, 536, 22324, 609, 11995, 7279, 780, 3080, 32689, 5614, 6640, 267, 1310, 4374, 540, 29287, 7784, 13933, 23892, 741, 9194, 2619, 909, 5087, 267, 11427, 269, 2372, 871, 1336, 9887, 31314, 676, 519, 9350, 7297, 540, 519, 3911, 4979, 623, 944, 269, 4173, 17207, 1869, 16004, 519, 20015, 660, 540, 519, 10792, 12798, 543, 2282, 4413, 525, 689, 519, 32049, 1788, 3796, 269, 2701, 1185, 1044, 4743, 5051, 795, 527, 6670, 267, 8572, 547, 21199, 1055, 519, 796, 3553, 339, 1782, 8823, 540, 519, 3771, 8089, 3460, 780, 301, 5328, 532, 1200, 14221, 29916, 267, 8834, 5577, 6244, 936, 543, 4280, 267, 834, 3963, 865, 9602, 2221, 267, 15210, 3659, 8119, 1677, 799, 11427, 269, 2372, 871, 14452, 25473, 267, 834, 17764, 267, 8834, 267, 594, 993, 1175, 865, 13110, 689, 782, 602, 678, 3089, 639, 3361, 676, 1346, 4496, 28749, 269, 1358, 1118, 1250, 2295, 5198, 1169, 2582, 1554, 3010, 30681, 6743, 15826, 585, 513, 4090, 1354, 14775, 267, 834, 22818, 621, 1131, 948, 952, 3838, 707, 4145, 609, 1866, 269, 1284, 1223, 960, 1927, 547, 1265, 513, 10930, 8905, 610, 6148, 1256, 18609, 6004, 269, 26449, 547, 3717, 609, 519, 11206, 7027, 827, 4466, 2081, 547, 2149, 721, 1732, 1282, 938, 15322, 3010, 31807, 1195, 539, 676, 8834, 781, 2186, 1913, 267, 11427, 269, 2372, 871, 5433, 811, 29014, 982, 1352, 1185, 538, 2395, 269, 8625, 267, 789, 4956, 547, 5531, 782, 7255, 2818, 540, 519, 3662, 10806, 896, 519, 3504, 18073, 3529, 1107, 513, 3090, 540, 9322, 1369, 519, 18137, 269, 1306, 2093, 2095, 539, 11884, 1851, 3025, 1459, 267, 1142, 4759, 6444, 519, 2956, 540, 14379, 16175, 827, 12194, 543, 2591, 5185, 15217, 780, 1103, 519, 1439, 267, 7064, 547, 741, 10319, 3646, 267, 1007, 10092, 941, 4362, 267, 3283, 1447, 2505, 5034, 676, 21962, 269, 5015, 267, 519, 11206, 7027, 8815, 796, 29434, 3585, 547, 3715, 6870, 10851, 2059, 2442, 9194, 11507, 267, 4180, 2104, 5481, 9327, 1405, 723, 547, 3068, 2147, 829, 2812, 780, 5804, 1287, 27477, 267, 8164, 4896, 20402, 2436, 2792, 5963, 20974, 1229, 267, 519, 11317, 540, 519, 28816, 22281, 539, 519, 9661, 540, 875, 1930, 19929, 3366, 547, 1713, 2242, 267, 1818, 12599, 1447, 30217, 748, 585, 7925, 7068, 971, 607, 11427, 269, 2372, 871, 269, 1656, 1100, 267, 5103, 6849, 16854, 12918, 7620, 267, 11427, 269, 2372, 871, 7012, 1405, 1412, 520, 8897, 262, 2394, 6209, 3268, 2509, 6571, 3459, 2921, 3337, 269, 2991, 782, 267, 14344, 4250, 568, 855, 1480, 630, 528, 26624, 1070, 9117, 2390, 621, 19100, 11225, 10100, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 310, 895, 543, 18009, 543, 15237, 8206, 15234, 283, 1962, 285, 6546, 568, 1018, 519, 15265, 15963, 887, 541, 689, 6640, 547, 3781, 693, 11427, 269, 2372, 871, 543, 1200, 2828, 607, 789, 8038, 593, 741, 1279, 3460, 547, 741, 1753, 538, 519, 2484, 3345, 1547, 283, 1962, 285, 296, 798, 562, 1405, 4898, 602, 1352, 729, 1768, 1026, 569, 11552, 6470, 543, 8401, 607, 1352, 2893, 538, 519, 3911, 4979, 623, 944, 6158, 547, 8834, 31594, 6902, 798, 596, 26042, 17780, 593, 602, 5037, 666, 649, 9959, 602, 713, 4845, 568, 3020, 888, 300, 3464, 269, 2372, 871, 729, 693, 2653, 543, 711, 8401, 692, 8008, 16739, 912, 1341, 8133, 3248, 1341, 2005, 781, 7543, 547, 2161, 3248, 1341, 5591, 3248, 266, 5591, 282, 8528, 763, 5037, 5693, 19528, 602, 11427, 269, 2372, 871, 729, 1768, 1026, 569, 11552, 6470, 543, 8401, 269, 1924, 519, 4845, 6031, 1352, 729, 693, 8897, 543, 711, 8401, 568, 711, 3020, 14325, 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, 476, 278, 281, 11150, 585, 13229, 13379, 5004, 538, 6481, 10791, 10657, 692, 1103, 2221, 781, 1158, 267, 2597, 2359, 814, 1831, 513, 2565, 2460, 540, 2564, 2732, 3797, 1813, 547, 519, 2810, 9860, 540, 8377, 543, 2404, 1072, 4220, 269, 901, 3184, 12538, 883, 1585, 2994, 585, 2500, 2597, 2359, 267, 10771, 519, 2956, 540, 10128, 7059, 6484, 267, 2168, 2534, 267, 2623, 14842, 267, 543, 10531, 1416, 269, 1635, 3695, 891, 7516, 267, 713, 3184, 6663, 547, 16491, 3782, 4648, 543, 1053, 609, 2963, 2861, 2645, 547, 3895, 1279, 3856, 8171, 543, 2232, 2597, 5829, 2591, 780, 272, 269, 7195, 2331, 12594, 281, 25043, 540, 13245, 14856, 18963, 692, 763, 5748, 540, 1022, 3811, 2597, 2359, 4640, 6013, 538, 12561, 513, 7059, 4189, 4806, 602, 10905, 1898, 5567, 1247, 12145, 17811, 6981, 269, 13667, 532, 585, 513, 5672, 1258, 22021, 3892, 540, 5111, 476, 3393, 268, 4792, 260, 19346, 267, 476, 736, 268, 3374, 260, 3170, 267, 543, 476, 1015, 268, 3374, 260, 3940, 5849, 7850, 1648, 2157, 1510, 5009, 7050, 4616, 269, 3958, 267, 6220, 2898, 9274, 267, 10709, 5946, 267, 5613, 267, 5388, 267, 543, 2635, 9600, 7028, 2949, 1072, 543, 2893, 328, 1214, 2429, 519, 1554, 780, 320, 269, 2961, 8510, 6233, 281, 13216, 5288, 11822, 590, 1872, 1513, 454, 4467, 14658, 11950, 1336, 538, 2898, 9274, 267, 22053, 267, 543, 588, 8944, 5388, 2709, 13455, 1648, 5305, 543, 3152, 2893, 328, 1214, 3379, 547, 2241, 14836, 1459, 538, 26265, 267, 28916, 267, 543, 9268, 3536, 269, 3117, 11167, 1950, 19719, 849, 2488, 6775, 267, 8324, 267, 543, 6886, 2629, 585, 6099, 15629, 3252, 780, 321, 269, 19871, 281, 10866, 3683, 10829, 640, 454, 3682, 12888, 4249, 513, 4105, 1909, 538, 4509, 4887, 2527, 1282, 2597, 2530, 267, 5885, 4761, 1599, 267, 543, 15725, 14000, 10291, 269, 29760, 593, 1164, 7779, 2959, 971, 607, 16738, 267, 3165, 267, 5798, 267, 10683, 2472, 267, 10808, 267, 5452, 267, 543, 22053, 2636, 2043, 547, 2743, 741, 3232, 4170, 1510, 23494, 2810, 1608, 7595, 6981, 780, 322, 269, 674, 1846, 281, 22716, 1125, 24296, 18260, 7352, 7724, 454, 4407, 2698, 3170, 6981, 1058, 581, 9793, 267, 10438, 5667, 18260, 9600, 910, 3226, 4874, 12584, 18260, 543, 1395, 10494, 18260, 8677, 910, 3091, 3875, 2640, 267, 1519, 4824, 9025, 1072, 267, 4389, 6553, 267, 543, 8476, 5042, 8647, 269, 30459, 19146, 15606, 267, 14462, 3282, 267, 10808, 267, 5452, 267, 543, 9761, 3165, 883, 519, 2732, 8992, 2295, 1072, 543, 7028, 2597, 2359, 3646, 780, 323, 269, 12130, 1258, 19153, 281, 12192, 667, 543, 25289, 454, 28444, 1005, 6190, 25050, 22021, 6981, 910, 4481, 6171, 667, 543, 7513, 910, 8309, 547, 2949, 5642, 1072, 543, 949, 5351, 538, 2597, 5826, 676, 12018, 14031, 7939, 543, 10307, 269, 10783, 1881, 5144, 2472, 267, 21364, 16719, 267, 543, 25167, 24799, 4196, 607, 5140, 2959, 540, 891, 1898, 5567, 780, 273, 269, 8447, 11314, 281, 6715, 1537, 3281, 9426, 540, 13379, 13809, 543, 20904, 454, 16498, 2534, 4564, 513, 22294, 540, 2597, 2359, 7341, 7258, 3617, 8192, 12381, 269, 12056, 538, 20659, 5751, 899, 6972, 267, 10977, 267, 15203, 267, 543, 4187, 2866, 11942, 2799, 1648, 18820, 267, 10597, 7378, 8417, 267, 543, 28933, 10709, 1560, 2527, 1282, 5712, 540, 1608, 7595, 19231, 269, 20661, 17935, 585, 693, 2547, 476, 5611, 3764, 540, 9793, 27233, 610, 476, 4037, 3764, 540, 24526, 3635, 12353, 13745, 609, 1079, 4222, 2866, 7886, 829, 3018, 3035, 6099, 2164, 780, 274, 269, 10263, 3525, 2305, 9828, 281, 8490, 17151, 13717, 31346, 454, 19931, 2597, 2359, 11498, 3564, 6071, 1702, 11601, 282, 621, 19329, 13321, 5615, 4478, 7594, 3270, 267, 6712, 7306, 267, 3929, 4189, 6208, 267, 543, 25161, 19824, 269, 20074, 5042, 15515, 24173, 2553, 971, 607, 3804, 4259, 267, 1582, 15065, 13501, 267, 17003, 1852, 267, 1966, 9010, 1983, 267, 26739, 6604, 267, 543, 1514, 1489, 1949, 16877, 2550, 547, 9772, 4264, 6197, 2242, 20009, 547, 1279, 3856, 1967, 780, 275, 269, 9608, 1436, 543, 29114, 1819, 22604, 281, 18601, 10572, 20126, 454, 28403, 1944, 602, 1169, 3461, 19299, 2189, 4162, 19156, 519, 991, 585, 16419, 4485, 1369 ]

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

[ 14033, 519, 10739, 540, 513, 4541, 267, 972, 616, 2947, 14965, 11466, 2798, 267, 519, 20698, 337, 836, 1014, 2798, 514, 799, 606, 20503, 1131, 10739, 519, 6129, 538, 6378, 5250, 609, 519, 4541, 563, 1103, 741, 7920, 1391, 547, 1265, 543, 2012, 1007, 17878, 267, 891, 3621, 23806, 2968, 18979, 543, 4652, 7037, 30347, 269, 634, 1034, 3551, 1259, 547, 9585, 713, 568, 998, 1612, 718, 1314, 9273, 5342, 538, 3648, 11397, 6753, 1282, 20718, 2053, 563, 8253, 1152, 941, 519, 1906, 15013, 1634, 7429, 1022, 2713, 3662, 267, 855, 789, 941, 865, 1114, 689, 1022, 824, 20641, 602, 621, 729, 2352, 547, 20559, 1454, 827, 741, 3347, 563, 12850, 267, 585, 1383, 267, 568, 5277, 538, 922, 8912, 267, 1483, 1533, 269, 634, 8367, 602, 519, 9992, 650, 729, 4922, 1031, 538, 8878, 676, 524, 518, 520, 3591, 2103, 971, 607, 5019, 665, 518, 520, 3591, 666, 3976, 581, 7318, 18105, 4094, 13443, 563, 3528, 519, 17623, 31350, 17675, 1358, 4019, 741, 19367, 538, 1360, 3309, 2081, 269, 7093, 2183, 269, 4985, 547, 22966, 17155, 23317, 269, 9400, 23575, 6312, 4459, 2160, 540, 7147, 693, 21388, 563, 7093, 2183, 282, 13053, 1014, 11707, 269, 4985, 282, 13053, 781, 4031, 540, 5163, 282, 13053, 781, 1101, 1876, 540, 5163, 269, 1290, 564, 543, 589, 3122, 1355, 21784, 8177, 5811, 6276, 589, 269, 3057, 2224, 330, 265, 8177, 267, 25204, 7615, 267, 18518, 267, 594, 563, 7072, 589, 12717, 596, 2479, 14478, 513, 15246, 5182, 538, 519, 3781, 6607, 286, 769, 2489, 267, 513, 15246, 5182, 568, 519, 2450, 540, 513, 2582, 10286, 1764, 630, 292, 264, 568, 513, 1599, 540, 519, 8006, 540, 519, 20503, 270, 1260, 564, 630, 323, 1040, 4985, 269, 1323, 3504, 882, 545, 540, 938, 3859, 1062, 779, 2038, 2395, 267, 26999, 340, 814, 2938, 811, 982, 5479, 1296, 540, 1686, 563, 763, 1655, 2963, 5267, 602, 1369, 476, 1015, 2929, 1296, 540, 938, 3859, 1062, 779, 5250, 267, 26999, 340, 779, 1459, 6377, 7998, 543, 7777, 9609, 941, 2907, 3964, 563, 293, 537, 8175, 2079, 814, 1082, 3621, 3156, 1107, 538, 6323, 267, 513, 3020, 25482, 266, 338, 710, 667, 10499, 729, 1031, 676, 12821, 1380, 538, 585, 25066, 31992, 540, 20503, 25057, 563, 7072, 547, 22263, 5811, 593, 28070, 28805, 269, 23134, 2160, 4964, 269, 589, 7874, 543, 3015, 1935, 547, 7311, 7194, 538, 519, 1483, 1158, 2060, 606, 8561, 593, 2565, 3206, 267, 634, 3203, 540, 4578, 5811, 281, 1215, 547, 8382, 20290, 7102, 7726, 4635, 9978, 10803, 6799, 1187, 543, 2189, 1806, 267, 10274, 3988, 998, 519, 3003, 1239, 4015, 543, 2079, 1184, 267, 543, 12857, 2596, 8579, 2035, 2059, 519, 1259, 563, 27735, 540, 20440, 538, 1272, 1557, 1455, 813, 1557, 476, 276, 9433, 540, 18459, 1557, 827, 476, 278, 13300, 540, 519, 1158, 939, 20960, 17485, 522, 329, 657, 2357, 9188, 2079, 1557, 3731, 4328, 519, 11156, 24563, 336, 1557, 2495, 5299, 543, 13594, 10388, 3594, 973, 8558, 552, 340, 1876, 3594, 1557, 827, 2828, 543, 14763, 561, 559, 5635, 543, 4334, 1079, 3197, 1557, 6760, 6429, 1557, 1557, 827, 1582, 4656, 2592, 2110, 2165, 6185, 5877, 0, 9617, 1317, 1945, 568, 1007, 1281, 1875, 20053, 621, 568, 9409, 610, 3046, 321, 4115, 269, 32665, 6694, 7449, 14571, 3683, 519, 3803, 4557, 27453, 7460, 1309, 269, 14840, 23764, 12034, 538, 891, 1585, 18125, 540, 12379, 18070, 2528, 12406, 585, 7114, 519, 581, 31600, 540, 12379, 18070, 2528, 607, 606, 703, 28424, 1895, 16042, 519, 5259, 6301, 1633, 676, 1216, 2864, 982, 936, 1633, 543, 10825, 689, 7532, 552, 563, 763, 5394, 25170, 540, 519, 8202, 610, 1624, 760, 1388, 1486, 21310, 1734, 267, 519, 5230, 17725, 2497, 543, 519, 3668, 540, 1022, 3020, 24060, 1646, 616, 6093, 3026, 6387, 11209, 2934, 269, 3816, 1622, 540, 1166, 2373, 543, 5642, 25576, 15664, 7405, 5815, 602, 16592, 19232, 18070, 812, 849, 2813, 2575, 563, 20776, 25236, 539, 676, 513, 3043, 2914, 14414, 11454, 476, 4792, 1535, 1535, 476, 1691, 3952, 543, 14059, 676, 513, 14869, 25047, 3118, 543, 513, 19856, 267, 713, 2497, 568, 1634, 607, 513, 19232, 18070, 547, 683, 18070, 1689, 936, 942, 689, 519, 28435, 6929, 5174, 629, 14125, 1014, 1990, 28999, 336, 584, 520, 340, 267, 2495, 834, 1729, 581, 6659, 909, 2437, 8754, 834, 320, 1164, 1747, 257, 543, 568, 519, 18634, 540, 3138, 1111, 1512, 543, 811, 15999, 1990, 24513, 584, 1846, 540, 2663, 5712, 563, 1692, 1705, 1272, 538, 519, 2250, 8428, 689, 2221, 286, 1548, 2856, 267, 1888, 267, 610, 1641, 568, 1271, 585, 596, 547, 1451, 286, 281, 769, 891, 17260, 267, 1004, 3459, 8105, 267, 2679, 8628, 24181, 267, 1818, 1732, 2645, 543, 7802, 267, 543, 3384, 4123, 543, 23477, 563, 18773, 562, 2345, 8087, 512, 5407, 513, 4622, 945, 20595, 513, 13862, 540, 2699, 530, 1157, 518, 22086, 269, 6168, 519, 1647, 540, 519, 8772, 26992, 267, 3182, 4919, 1603, 729, 2919, 543, 1651, 2213, 2390, 10036, 14342, 269, 3509, 13946, 10367, 4866, 547, 519, 6022, 2801, 565, 15402, 6520, 267, 543, 4266, 689, 827, 476, 1428, 267, 547, 476, 1789, 267, 1296, 3516, 563, 22746, 3889, 5815, 519, 6228, 540, 4628, 2919, 267, 18756, 2146, 1272, 607, 2038, 607, 519, 15795, 543, 18749, 26992, 645, 269, 769, 519, 5664, 19232, 18070, 1974, 267, 14178, 689, 827, 476, 3583, 267, 547, 476, 3374, 267, 1296, 3516, 267, 812, 781, 2645, 4824, 269, 634, 1034, 10565, 2963, 538, 21157, 814, 2097, 689, 513, 3135, 4557, 5195, 22070, 540, 13243, 538, 519, 654, 14508, 679, 9539, 520, 18860, 267, 799, 814, 2016, 519, 2012, 834, 301, 520, 18860, 1014, 257, 547, 519, 2528, 563, 2005, 568, 2009, 602, 891, 3889, 941, 13026, 585, 851, 540, 519, 1032, 267, 543, 538, 1651, 2211, 4365, 16592, 19232, 18070, 812, 8120, 547, 1010, 13946, 563, 763, 1646, 540, 6683, 267, 610, 8105, 267, 1282, 519, 32665, 1974, 1185, 513, 16854, 1198, 593, 1480, 2486, 269, 1717, 267, 2963, 540, 8101, 11175, 538, 12907, 5956, 1152, 609, 519, 12614, 540, 519, 631, 537, 3122, 1014, 2528, 2073, 1765, 2412, 267, 7460, 11484, 31531, 5219, 547, 607, 519, 5664, 19232, 18070, 563, 7197, 1004, 540, 2539, 7121, 4300, 4705, 547, 713, 1007, 6044, 540, 13221, 1247, 1082, 1004, 540, 2362, 6688, 5156, 602, 13221, 1058, 581, 16701, 5344, 1317, 540, 922, 3020, 3046, 8663, 545, 543, 9409, 1145, 563, 2467, 616, 1079, 2596, 6436, 281, 634, 8798, 540, 6683, 3366, 547, 519, 12306, 1272, 269, 901, 2619, 729, 4553, 676, 5245, 267, 1454, 540, 27584, 4997, 267, 1454, 540, 519, 17113, 519, 2484, 5087, 543, 5045, 663, 2694, 540, 4427, 25781, 4000, 563, 1432, 786, 594, 581, 2111, 547, 798, 286, 281, 634, 14897, 766, 540, 519, 1226, 573, 543, 1698, 9068, 7633, 689, 519, 3655, 26915, 31174, 720, 543, 540, 5452, 540, 519, 16907, 698, 514, 19687, 1920, 689, 519, 27386, 31174, 720, 267, 607, 1134, 607, 606, 2333, 538, 519, 1297, 540, 16537, 778, 3930, 267, 782, 2921, 1747, 1309, 563, 763, 20195, 22057, 1520, 2779, 720, 1306, 4330, 1657, 267, 519, 32665, 2085, 729, 6913, 2484, 4505, 538, 20195, 14901, 982, 11992, 269, 1452, 4525, 941, 711, 20651, 676, 20133, 558, 1227, 2413, 3425, 2394, 476, 1789, 267, 22680, 563, 763, 32665, 4838, 729, 835, 540, 519, 7887, 7432, 2798, 538, 1686, 269, 9861, 513, 2864, 2571, 4496, 267, 7601, 729, 711, 513, 10565, 6454, 936, 6149, 585, 519, 13167, 540, 2645, 543, 9604, 269, 16217, 1122, 518, 267, 6902, 661, 269, 32665, 15873, 6168, 5295, 17004, 563, 27269, 519, 4666, 941, 954, 1042, 538, 1804, 4859, 30660, 267, 543, 693, 824, 2053, 4703, 941, 1212, 332, 730, 543, 519, 3788, 5116, 538, 16887, 1500, 20341, 2712, 985, 543, 954, 1042, 538, 23572, 269, 1411, 666, 946, 5295, 17004, 269, 1358, 13556, 2059, 519, 6821, 540, 23572, 1629, 21749, 1919, 899, 2196, 532, 269, 634, 849, 2877, 547, 3082, 741, 11326, 547, 519, 2199, 2200, 602, 941, 2139, 7868, 1646, 540, 32665, 2528, 5526, 547, 723, 1044, 513, 16795, 2864, 982, 513, 6727, 1689, 563, 22025, 6670, 568, 1776, 3693, 602, 2306, 519, 6580, 540, 519, 32665, 16609, 269, 769, 930, 4525, 267, 519, 5920, 540, 20341, 568, 2808, 513, 3090, 540, 519, 32665, 267, 855, 713, 10206, 2306, 519, 2165, 32665, 563, 24109, 753, 723, 5030, 998, 1082, 971, 9979, 267, 799, 1491, 1747, 936, 5215, 540, 1296, 269, 2755, 30961, 5712, 1500, 6668, 811, 2352, 267, 32665, 6520, 269, 4438, 519, 19232, 18070, 2085, 267, 585, 519, 1101, 942, 538, 1686, 267, 3020, 2527, 1790, 3174, 540, 4496, 2645, 543, 9604, 563, 13828, 6683, 543, 13137, 630, 1729, 1491, 1079, 7986, 1806, 1040, 19232, 18070, 5288, 32665, 910, 3487, 476, 273, 269, 19232, 18070, 543, 32665, 6520, 269, 634, 19232, 18070, 6520, 547, 519, 32665, 6520, 7960, 7494, 936, 942, 910, 19232, 18070, 5288, 32665, 4367, 269, 3509, 2242, 543, 2585, 885, 7018, 1063, 519, 1079, 21971, 563, 763, 20167, 626, 18152, 22184, 7475, 693, 519, 1482, 942, 607, 519, 3140, 19232, 18070, 11270, 630, 8619, 476, 1015, 267, 1700, 7460, 264, 609, 519, 3803, 18956, 540, 12620, 2747, 936, 1034, 540, 2342, 543, 269, 12379, 18070, 1974, 630, 332, 384, 499, 345, 21485, 16745, 331, 384, 361, 628, 21485, 384, 361, 330, 264, 610, 5664, 12942, 6520, 267, 1974, 538, 1480, 1646, 1063, 519, 1439, 540, 519, 19232, 18070, 1974, 543, 519, 4098, 540, 519, 32665, 1974, 563, 2005, 3459, 609, 519, 1439, 540, 519, 2063, 30961, 1974, 936, 476, 1015, 267, 1296, 3516, 543, 7960, 883, 519, 32665, 1974, 6902, 713, 1689, 3238, 519, 16795, 29143, 1709, 540, 2371, 543, 269, 769, 519, 19232, 18070, 543, 32665, 21971, 1312, 1185, 930, 4990, 540, 6205, 610, 5718, 4352, 519, 32665, 16527, 1185, 513, 1950, 6896, 2229, 519, 19232, 18070, 5736, 1185, 513, 1895, 6205, 547, 1118, 519, 3664, 585, 519, 14316, 9967, 540, 513, 1507, 2179, 540, 1004, 563, 303, 1446, 18070, 547, 32665, 1689, 936, 942, 4828, 6185, 5877, 0, 13270, 276, 568, 513, 6939, 4919, 19474, 1599, 5690, 10123, 1634, 607, 968, 332, 20687, 1673, 580, 652, 6100, 901, 3568, 513, 5832, 540, 9704, 6383, 676, 1210, 513, 835, 17574, 814, 3107, 1062, 269, 24606, 2007, 3949, 616, 538, 1880, 2966, 547, 16102, 519, 8699, 540, 513, 3787, 540, 1249, 610, 2923, 543, 547, 13498, 952, 972, 616, 12381, 543, 2242, 547, 1022, 513, 851, 540, 513, 5048, 563, 300, 20687, 2007, 3949, 616, 6870, 835, 17907, 1676, 19474, 7207, 602, 1491, 4351, 13355, 5013, 543, 3142, 513, 6378, 1673, 4851, 19474, 1871, 563, 763, 3119, 4183, 540, 11022, 276, 568, 547, 5173, 513, 19474, 3902, 538, 25563, 269, 4634, 607, 519, 19474, 8984, 568, 547, 1205, 7161, 540, 5638, 543, 2132, 873, 609, 513, 2182, 543, 3728, 27480, 3787, 5569, 610, 19474, 3902, 269, 634, 1344, 602, 814, 1044, 8246, 676, 19474, 7207, 568, 5219, 547, 607, 513, 968, 332, 20687, 31865, 693, 519, 1482, 942, 607, 519, 7229, 19474, 3902, 568, 968, 332, 20687, 7558, 9731, 763, 11022, 276, 267, 1927, 609, 519, 6587, 19474, 3252, 267, 568, 4122, 8246, 538, 3395, 3059, 22782, 543, 5048, 19027, 9479, 267, 4994, 532, 7194, 538, 19474, 7515, 267, 16326, 23652, 7194, 267, 585, 9416, 268, 2745, 532, 267, 547, 4990, 543, 13498, 6119, 267, 543, 957, 607, 11974, 4548, 538, 16326, 26516, 7194, 13313, 563, 763, 11022, 276, 19474, 568, 1031, 547, 1118, 1978, 519, 8699, 540, 519, 7194, 540, 6054, 1813, 547, 519, 1249, 519, 11022, 276, 19474, 5690, 814, 513, 2189, 6073, 540, 5663, 519, 3160, 2360, 585, 519, 9838, 1305, 540, 5013, 269, 11022, 276, 3755, 616, 4847, 547, 6218, 513, 19474, 540, 519, 2707, 540, 519, 7194, 609, 519, 9241, 6383, 19474, 593, 519, 10278, 540, 519, 3561, 282, 713, 2636, 519, 1268, 547, 1449, 952, 519, 19474, 568, 796, 15842, 5287, 543, 796, 5306, 1229, 563, 15447, 602, 11022, 276, 19474, 3884, 1405, 14238, 855, 1034, 2500, 513, 31937, 540, 519, 2016, 3403, 269, 3958, 267, 596, 991, 547, 1491, 883, 2272, 602, 621, 781, 2484, 513, 835, 17907, 1676, 6073, 267, 799, 1797, 519, 7082, 568, 711, 4847, 547, 6587, 513, 6383, 11022, 276, 19474, 547, 1205, 1732, 519, 8076, 5569, 563, 5978, 11022, 276, 25300, 31098, 1568, 3842, 4946, 519, 5569, 593, 519, 3845, 7677, 1639, 267, 543, 938, 11022, 276, 20303, 786, 12337, 707, 5013, 519, 6165, 540, 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 ]

[ 2348, 547, 6494, 2371, 610, 5452, 267, 972, 616, 930, 1271, 1919, 547, 1832, 538, 2247, 269, 1411, 3513, 1265, 811, 827, 621, 1934, 563, 293, 23459, 1125, 30597, 910, 950, 267, 875, 543, 609, 1018, 286, 634, 1655, 476, 1015, 18168, 454, 7775, 577, 1749, 616, 519, 4998, 3750, 2275, 520, 7815, 585, 519, 9486, 650, 267, 519, 2545, 935, 344, 543, 538, 519, 4677, 269, 9603, 547, 519, 2189, 4763, 540, 519, 2030, 1920, 267, 1082, 22254, 616, 11842, 875, 28722, 6992, 1944, 1568, 547, 1683, 519, 5810, 609, 519, 1697, 5567, 563, 29493, 561, 559, 659, 910, 865, 596, 29915, 622, 2025, 561, 559, 659, 4054, 454, 299, 559, 30929, 798, 711, 8209, 723, 547, 581, 2759, 585, 513, 1279, 942, 269, 769, 1249, 267, 2523, 519, 3552, 1790, 1503, 11717, 908, 15013, 616, 3226, 32550, 26448, 543, 1332, 18932, 269, 1717, 267, 607, 789, 1332, 4587, 267, 519, 2371, 786, 581, 856, 326, 3497, 543, 1831, 24052, 269, 1717, 267, 609, 519, 1318, 29915, 566, 2759, 267, 519, 16036, 7772, 666, 581, 17468, 563, 13014, 1544, 1562, 4832, 344, 454, 24456, 10833, 616, 10416, 4986, 811, 982, 2095, 8538, 2644, 538, 20538, 269, 634, 3017, 547, 2095, 8538, 2644, 568, 5631, 602, 596, 666, 3560, 513, 1544, 614, 267, 693, 707, 1378, 7662, 267, 9170, 543, 2322, 909, 267, 610, 666, 13793, 563, 24456, 519, 8768, 13607, 454, 288, 8768, 512, 893, 568, 11684, 269, 634, 3099, 540, 6272, 4805, 2488, 513, 1434, 4493, 585, 15603, 519, 9345, 1404, 609, 519, 2371, 269, 589, 8768, 512, 893, 568, 5078, 585, 519, 2545, 935, 344, 610, 519, 1768, 15869, 267, 5654, 1434, 538, 519, 4395, 13452, 267, 666, 4196, 607, 513, 7406, 543, 1454, 811, 563, 24456, 8768, 10833, 267, 2030, 8768, 4216, 454, 7661, 5614, 568, 1934, 256, 634, 4054, 616, 7444, 7432, 3039, 543, 519, 803, 27595, 616, 4742, 2479, 811, 10477, 269, 1656, 609, 519, 12625, 540, 5614, 267, 543, 519, 2810, 9000, 540, 3781, 8389, 7370, 267, 1004, 616, 2324, 2182, 1586, 538, 519, 10651, 563, 295, 4474, 11127, 910, 513, 8768, 28551, 2429, 519, 1032, 454, 25444, 6272, 741, 4677, 519, 1259, 789, 899, 621, 269, 1656, 3025, 786, 581, 3860, 593, 741, 2545, 935, 344, 610, 1768, 15869, 607, 1134, 269, 28259, 532, 3054, 609, 5810, 543, 824, 2371, 568, 849, 513, 8799, 543, 21363, 3364, 563, 296, 337, 3419, 566, 540, 8768, 10833, 454, 23044, 619, 538, 8768, 10833, 1419, 723, 547, 581, 530, 23926, 3232, 1317, 789, 3668, 519, 1463, 3761, 689, 519, 3037, 610, 519, 2139, 3037, 568, 1360, 3908, 543, 3976, 519, 1216, 18493, 919, 3533, 543, 568, 12842, 676, 519, 2371, 538, 1100, 942, 563, 5522, 1218, 609, 3043, 9044, 593, 3762, 910, 602, 2337, 454, 19669, 9044, 593, 3762, 4386, 1312, 538, 519, 4677, 543, 538, 2777, 17852, 269, 27718, 2208, 666, 723, 1585, 3123, 543, 12153, 269, 901, 3043, 16005, 1419, 3029, 950, 621, 814, 1044, 986, 1456, 585, 513, 1279, 942, 610, 950, 2777, 17852, 723, 1044, 2016, 1932, 1454, 12555, 1216, 269, 2060, 519, 1318, 1935, 267, 2417, 7269, 666, 581, 30396, 15286, 563, 7230, 8221, 1315, 17819, 519, 3529, 588, 2794, 910, 3790, 1341, 5777, 540, 519, 27414, 11489, 518, 454, 2304, 13311, 588, 2794, 666, 581, 6569, 538, 1082, 2081, 267, 1141, 519, 17819, 856, 1210, 513, 588, 2794, 2759, 614, 585, 713, 568, 2356, 519, 1655, 4781, 269, 1215, 547, 6023, 713, 3926, 543, 1018, 547, 2628, 3007, 547, 609, 713, 1505, 267, 596, 786, 1265, 856, 1934, 2336, 298, 636, 638, 520, 19380, 3762, 1315, 5810, 910, 799, 2337, 519, 737, 636, 638, 520, 3529, 454, 2467, 616, 1896, 4128, 1946, 513, 737, 636, 638, 520, 3529, 19380, 922, 3762, 543, 5810, 16638, 5162, 267, 513, 2530, 540, 3762, 568, 10355, 513, 2014, 585, 6161, 267, 538, 519, 4832, 267, 2705, 267, 3617, 4831, 1889, 9778, 1058, 581, 3144, 267, 6382, 519, 3529, 568, 3728, 24052, 269, 769, 713, 2796, 267, 2523, 519, 2837, 267, 519, 1769, 543, 519, 16213, 4559, 616, 547, 581, 13761, 563, 19465, 29127, 727, 11064, 585, 19348, 1299, 1071, 3054, 910, 8925, 454, 5522, 1218, 609, 29127, 2345, 267, 26759, 5072, 602, 3262, 11895, 267, 689, 799, 1007, 2371, 1332, 11992, 267, 666, 3533, 3262, 2429, 519, 4677, 5127, 543, 547, 519, 12543, 269, 1677, 2061, 713, 689, 8345, 267, 29127, 727, 7496, 1472, 519, 2030, 267, 585, 1383, 519, 2442, 19348, 267, 1058, 581, 1031, 267, 799, 519, 15908, 32529, 666, 849, 1628, 5128, 563, 11847, 31857, 2777, 2371, 910, 5528, 585, 2442, 3039, 2371, 454, 2252, 596, 899, 513, 2603, 540, 2371, 538, 519, 19887, 267, 596, 2356, 723, 513, 2603, 540, 4190, 267, 2523, 2462, 3039, 2371, 538, 519, 15174, 269, 769, 1840, 547, 519, 2834, 14450, 543, 6992, 2358, 267, 519, 1416, 267, 799, 1058, 581, 2944, 693, 2547, 1169, 1614, 547, 2185, 1296, 267, 568, 851, 540, 519, 1416, 1934, 269, 1924, 519, 1065, 31857, 540, 519, 2030, 711, 1152, 2337, 547, 1683, 811, 2230, 855, 849, 547, 4195, 3037, 609, 1007, 5567, 563, 293, 29623, 909, 12015, 2371, 910, 713, 568, 875, 596, 4688, 12015, 5346, 15013, 454, 6624, 2030, 18798, 616, 5432, 609, 519, 1966, 267, 585, 1383, 267, 950, 789, 2097, 1753, 689, 4832, 7477, 725, 610, 950, 519, 4832, 729, 1360, 3905, 543, 930, 2371, 538, 17428, 610, 15135, 723, 12015, 610, 18854, 22363, 269, 3767, 621, 781, 942, 547, 957, 3533, 547, 4688, 543, 25580, 519, 18854, 22363, 15013, 269, 898, 568, 2141, 4502, 513, 2119, 267, 2523, 952, 519, 5072, 1869, 4163, 1272, 563, 22134, 9792, 320, 19380, 3762, 1315, 1167, 1841, 5810, 910, 596, 666, 798, 602, 454, 22134, 9792, 553, 10508, 721, 609, 741, 10053, 2208, 543, 1397, 344, 5810, 269, 898, 568, 782, 519, 811, 30414, 950, 621, 25001, 3762, 543, 5810, 543, 5956, 547, 2357, 27204, 6352, 269, 1717, 267, 609, 519, 1318, 1702, 267, 519, 3289, 9792, 320, 666, 1419, 581, 11324, 4240, 1510, 2042, 543, 25623, 547, 18932, 2208, 1586, 563, 5522, 13589, 8768, 26633, 14350, 910, 2093, 585, 4832, 1315, 15489, 454, 1103, 4832, 543, 15489, 8768, 26633, 616, 1630, 4040, 538, 519, 4677, 267, 593, 2545, 935, 344, 543, 1768, 15869, 269, 8729, 547, 513, 3309, 3099, 540, 5546, 267, 7306, 543, 2326, 789, 4161, 519, 32529, 781, 5876, 269, 3367, 1934, 1018, 547, 1413, 585, 538, 519, 2298, 540, 2030, 911, 903, 269, 25873, 998, 513, 10477, 5044, 540, 2093, 585, 1367, 9544, 563, 24456, 4216, 25836, 910, 891, 2371, 616, 5078, 454, 2304, 8900, 267, 26927, 776, 2545, 935, 344, 538, 5162, 1281, 711, 723, 547, 581, 269, 12624, 7186, 814, 513, 3099, 540, 15470, 15033, 2545, 935, 344, 2371, 602, 1796, 856, 538, 519, 4411, 4005, 609, 513, 16560, 887, 2041, 543, 7168, 10943, 10449, 540, 2681, 269, 901, 5542, 6799, 5078, 2371, 547, 2030, 513, 1544, 614, 25836, 563, 290, 2086, 542, 267, 715, 20973, 267, 2274, 574, 330, 571, 583, 910, 16711, 6651, 454, 8867, 574, 330, 337, 7564, 17458, 267, 1286, 333, 725, 267, 1286, 333, 725, 910, 21603, 569, 5667, 1051, 15066, 2371, 602, 1082, 15908, 22254, 723, 711, 18808, 609, 269, 1717, 267, 952, 596, 1413, 513, 2370, 6251, 267, 3810, 4277, 2371, 602, 1869, 4383, 609, 519, 4440, 20125, 1416, 5528, 538, 519, 1158, 269, 0, 15239, 5570, 32477, 3044, 2203, 454, 1103, 7811, 9325, 6323, 267, 519, 1875, 268, 5570, 32477, 9208, 7844, 267, 5631, 1813, 547, 519, 3943, 22301, 1325, 664, 1230, 5886, 267, 3096, 1010, 1875, 5570, 32477, 9511, 547, 28433, 606, 10137, 540, 519, 9208, 7844, 547, 1331, 513, 9168, 1106, 540, 2489, 25536, 269, 901, 796, 2305, 10522, 513, 1906, 10148, 593, 519, 6724, 540, 519, 9208, 7844, 269, 7201, 606, 3606, 13429, 267, 1634, 607, 519, 834, 15927, 9390, 257, 8367, 267, 835, 540, 891, 10148, 11887, 519, 2527, 540, 519, 11612, 7714, 536, 657, 517, 547, 581, 1472, 476, 10204, 2983, 309, 267, 20354, 1369, 519, 2039, 540, 519, 14066, 16874, 1258, 7502, 3187, 269, 10765, 1855, 341, 520, 1258, 6901, 23868, 513, 11612, 7714, 2527, 540, 476, 15647, 547, 476, 11260, 2983, 309, 693, 519, 476, 4817, 260, 6015, 1377, 543, 2487, 6901, 693, 595, 30204, 2303, 513, 11612, 7714, 2527, 540, 1063, 476, 10219, 2983, 309, 543, 476, 14096, 2983, 309, 269, 1717, 267, 519, 5892, 17223, 11612, 7714, 2527, 729, 1336, 547, 723, 606, 5470, 267, 543, 811, 2487, 9273, 616, 538, 1899, 609, 519, 6027, 11612, 7714, 2527, 563, 268, 6348, 5570, 32477, 9511, 454, 268, 6348, 5570, 32477, 7061, 2361, 3069, 454, 268, 7033, 5202, 540, 10570, 543, 1016, 30061, 6323, 454, 268, 623, 1537, 2948, 1470, 267, 4856, 514, 928, 630, 1001, 274, 268, 6734, 268, 1691, 1040, 834, 6124, 2164, 5815, 602, 1007, 9325, 568, 513, 11612, 7714, 536, 657, 517, 2668, 595, 30204, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 21563, 1676, 267, 8614, 13860, 630, 1691, 4728, 476, 1001, 274, 1040, 834, 8512, 1834, 9672, 607, 11612, 7714, 536, 657, 517, 2668, 715, 6195, 5240, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 834, 295, 580, 7714, 18548, 517, 20570, 4762, 3305, 539, 2991, 4284, 27913, 5623, 14066, 16874, 1258, 7502, 3187, 4578, 693, 595, 30204, 2668, 670, 4428, 15838, 5403, 269, 476, 1691, 4728, 476, 1001, 274, 269, 8158, 476, 1691, 4728, 476, 1001, 274, 563, 268, 26504, 540, 519, 15190, 1537, 9208, 7844, 454, 268, 1306, 2096, 696, 5328, 3106, 267, 5409, 613, 6248, 3252, 267, 543, 519, 11612, 7714, 2527, 538, 19706, 2962, 3631, 3097, 268, 1325, 664, 1230, 5886, 630, 1960, 275, 264, 6348, 5570, 32477, 9511, 269, 14288, 4964, 269, 9768, 476, 271, 268, 1321, 268, 6977, 279, 2568, 29930, 563, 268, 28612, 630, 1960, 276, 264, 834, 15239, 5570, 32477, 9511, 543, 4641, 2437, 808, 269, 4569, 269, 4284, 269, 476, 3607, 281, 476, 277, 866, 275, 563, 268, 28612, 630, 1960, 277, 264, 834, 24836, 6143, 13745, 609, 2339, 543, 519, 5748, 540, 1875, 5570, 32477, 9511, 2437, 2155, 269, 4569, 269, 4284, 269, 476, 14028, 281, 476, 11820, 563, 268, 28612, 630, 1220, 277, 264, 834, 15239, 5570, 32477, 9511, 543, 6323, 2437, 454, 268, 28612, 543, 631, 269, 16205, 565, 2993, 267, 6348, 5570, 32477, 16387, 281, 17747, 29425, 543, 7763, 1161, 269, 1977, 19556, 5980, 630, 1220, 278, 1916, 268, 932, 4461, 539, 323, 710, 267, 589, 1421, 589, 269, 1230, 5886, 630, 1960, 277, 264, 834, 763, 19706, 2962, 6240, 2437, 2155, 269, 4569, 269, 4284, 269, 476, 9264, 281, 476, 14028, 563, 268, 932, 4461, 539, 323, 710, 267, 589, 1421, 589, 269, 1230, 5886, 267, 631, 269, 16205, 565, 2993, 630, 1220, 278, 264, 834, 24836, 6143, 543, 519, 9208, 7844, 609, 22011, 3626, 11544, 2437, 5917, 269, 634, 528, 269, 4569, 269, 4284, 269, 476, 1556, 281, 476, 4200, 272, 563, 268, 808, 675, 527, 267, 3967, 6953, 1421, 7338, 26689, 329, 1168, 24989, 267, 7338, 5576, 6686, 14982, 267, 543, 2441, 2684, 589, 269, 5153, 7315, 630, 1220, 278, 264, 834, 4002, 519, 1875, 5570, 32477, 3044, 2203, 2437, 2920, 320, 4284, 269, 2717, 517, 269, 645, 4343, 281, 476, 28760, 272, 268, 17168, 273, 563, 268, 5576, 6686, 14982, 267, 7338, 630, 1220, 276, 264, 17086, 689, 1230, 5886, 781, 9511, 269, 17976, 11872, 538, 8212, 476, 4792, 280, 267, 22219, 269, 0, 3528, 661, 269, 700, 269, 670, 32080, 267, 303, 269, 654, 269, 2961, 335, 10938, 267, 17556, 1597, 670, 269, 2051, 997, 2714, 267, 25405, 1408, 570, 269, 27223, 454, 288, 518, 19392, 585, 7177, 5640, 267, 476, 278, 628, 9990, 267, 568, 2693, 835, 540, 519, 1158, 779, 6305, 2619, 5931, 593, 7098, 19392, 269, 898, 3091, 13801, 2188, 540, 2653, 7840, 267, 6404, 609, 513, 1434, 4417, 547, 7098, 17871, 2856, 269, 901, 909, 3562, 15082, 4528, 814, 1044, 15428, 609, 1732, 27380, 543, 556, 23457, 1543, 1570, 547, 7520, 20194, 4974, 267, 543, 13408, 1007, 610, 6905, 22059, 538, 1114, 4105, 3334, 267, 13380, 547, 3834, 3205, 545, 3350, 267, 772, 16787, 779, 267, 543, 12985, 5714, 6384, 563, 268, 30216, 2413, 3252, 543, 1806, 602, 1489, 5640, 1294, 519, 5409, 15062, 1851, 3232, 4890, 1806, 540, 7098, 19392, 543, 519, 27115, 540, 7098, 17871, 2093, 547, 7098, 17871, 1374 ]

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

[ 297, 290, 313, 11085, 3198, 313, 7246, 298, 297, 15771, 5588, 300, 4811, 16165, 312, 310, 308, 297, 294, 304, 29369, 22076, 312, 7374, 302, 302, 312, 294, 30470, 294, 15598, 309, 298, 300, 297, 301, 299, 25605, 311, 18449, 313, 296, 5308, 313, 291, 30641, 313, 5588, 304, 9143, 2464, 293, 298, 2975, 309, 298, 9391, 20670, 29369, 21254, 29262, 293, 297, 10976, 289, 310, 3201, 289, 7894, 304, 296, 297, 23802, 298, 17614, 307, 12717, 308, 302, 311, 309, 16412, 293, 312, 312, 299, 289, 313, 291, 3951, 298, 303, 304, 296, 5308, 302, 297, 305, 311, 6573, 300, 309, 31813, 311, 293, 11085, 297, 302, 8008, 4306, 312, 298, 313, 293, 310, 12435, 297, 3036, 310, 312, 298, 13052, 291, 301, 7473, 305, 294, 12487, 307, 304, 297, 14701, 2177, 288, 30438, 8656, 297, 7838, 311, 23623, 293, 313, 297, 295, 5746, 312, 302, 297, 10135, 304, 300, 7473, 299, 6865, 294, 310, 300, 312, 301, 313, 301, 7709, 29369, 10157, 308, 311, 31304, 303, 297, 18199, 298, 311, 300, 313, 305, 310, 304, 309, 18199, 310, 310, 302, 313, 9143, 312, 7419, 28384, 311, 303, 8042, 308, 288, 308, 288, 311, 302, 304, 4932, 311, 297, 300, 23623, 7419, 8008, 313, 300, 294, 5263, 297, 308, 312, 305, 295, 311, 26950, 298, 313, 303, 8656, 11246, 310, 297, 312, 28903, 298, 298, 304, 307, 298, 312, 301, 311, 290, 3041, 308, 288, 310, 290, 304, 303, 289, 313, 12195, 297, 297, 2562, 309, 298, 293, 301, 304, 9143, 299, 313, 290, 310, 9281, 20003, 11070, 18199, 310, 9720, 8461, 298, 20911, 289, 12613, 29308, 14566, 313, 22003, 303, 308, 312, 296, 304, 20003, 304, 303, 11246, 313, 308, 30820, 9391, 298, 303, 308, 295, 289, 16775, 301, 310, 290, 312, 295, 294, 298, 6311, 23802, 16576, 3722, 20784, 295, 294, 309, 295, 2316, 10485, 297, 289, 10680, 9680, 311, 312, 304, 2969, 300, 297, 309, 11520, 4785, 10013, 5085, 311, 14899, 10157, 26714, 4696, 296, 25605, 295, 301, 311, 312, 2752, 298, 294, 304, 23802, 292, 297, 301, 17307, 304, 2752, 289, 6630, 303, 5308, 6865, 2839, 298, 296, 308, 310, 307, 5960, 31082, 295, 17162, 300, 313, 301, 9143, 292, 295, 298, 12396, 313, 294, 304, 298, 17307, 7876, 313, 311, 4696, 5308, 295, 301, 298, 5308, 31769, 2752, 293, 6195, 288, 313, 309, 12702, 311, 6579, 10813, 294, 313, 298, 5746, 31686, 4041, 297, 3722, 294, 313, 9680, 311, 10976, 309, 25712, 4488, 2975, 289, 8980, 295, 313, 307, 311, 291, 311, 300, 9391, 9391, 6630, 311, 6311, 19447, 304, 302, 304, 12487, 311, 17247, 299, 297, 4932, 29949, 4047, 296, 310, 19447, 4916, 10013, 311, 313, 291, 297, 302, 313, 14641, 313, 299, 309, 311, 309, 302, 292, 289, 18958, 307, 308, 311, 297, 3198, 295, 313, 297, 311, 20003, 298, 294, 312, 3633, 310, 20670, 304, 307, 313, 300, 309, 22218, 311, 305, 305, 311, 31082, 293, 10499, 297, 305, 309, 304, 7473, 3201, 16576, 7704, 9391, 311, 291, 10621, 311, 6311, 305, 311, 303, 311, 301, 2464, 31082, 293, 298, 300, 313, 15709, 29669, 311, 289, 313, 308, 15477, 289, 23354, 310, 17269, 29996, 301, 309, 13993, 302, 297, 291, 308, 288, 304, 6311, 300, 309, 299, 4353, 307, 311, 300, 298, 304, 4306, 20670, 308, 304, 311, 307, 297, 296, 2752, 294, 26214, 2839, 291, 309, 299, 30641, 297, 3722, 313, 302, 4916, 308, 293, 24174, 297, 293, 313, 306, 304, 9720, 312, 309, 302, 313, 303, 10499, 311, 291, 5960, 17307, 307, 313, 298, 312, 297, 7419, 312, 20003, 298, 313, 298, 9816, 15477, 292, 312, 295, 14566, 2316, 292, 298, 311, 10135, 299, 301, 313, 312, 307, 10976, 313, 30641, 30820, 5425, 6395, 25446, 289, 311, 12435, 14011, 309, 29151, 310, 298, 7704, 24427, 311, 313, 295, 301, 4596, 308, 7709, 311, 293, 4353, 298, 20911, 3722, 313, 297, 308, 295, 6224, 308, 312, 313, 297, 313, 4353, 288, 304, 309, 311, 291, 312, 13036, 313, 7876, 22333, 293, 296, 304, 3633, 3951, 8085, 4753, 299, 4811, 16775, 297, 304, 298, 310, 294, 297, 4785, 304, 22835, 312, 7419, 307, 311, 300, 313, 295, 297, 304, 11403, 313, 12487, 13748, 5588, 311, 293, 29669, 309, 297, 305, 297, 303, 293, 312, 291, 294, 9573, 304, 313, 31159, 296, 310, 304, 300, 8085, 7709, 303, 311, 2793, 290, 7473, 10498, 297, 312, 289, 8085, 32271, 13052, 301, 289, 293, 308, 304, 20067, 289, 294, 297, 13748, 295, 297, 296, 295, 19447, 312, 297, 14566, 293, 7246, 25897, 289, 297, 4696, 298, 9391, 301, 311, 26822, 297, 306, 294, 17025, 289, 311, 15771, 294, 304, 10499, 12283, 298, 15477, 15014, 28566, 298, 312, 297, 299, 313, 310, 297, 308, 312, 311, 299, 294, 4456, 15598, 293, 310, 3918, 303, 13967, 310, 299, 9391, 309, 7246, 294, 4785, 311, 307, 26214, 14899, 5746, 312, 304, 288, 310, 309, 295, 26980, 297, 304, 301, 304, 311, 307, 7034, 312, 301, 3633, 31686, 297, 305, 309, 297, 304, 30820, 5746, 297, 21197, 309, 297, 298, 10064, 313, 289, 8085, 298, 290, 2969, 9590, 313, 289, 311, 298, 299, 308, 310, 6224, 290, 17395, 308, 288, 298, 299, 5263, 289, 310, 4696, 15014, 312, 17269, 311, 7374, 298, 29552, 290, 312, 7968, 290, 304, 294, 10345, 296, 10621, 298, 5085, 17584, 20062, 295, 5960, 305, 295, 298, 310, 299, 10976, 313, 304, 291, 4696, 301, 310, 296, 304, 312, 293, 29369, 6865, 297, 295, 5746, 308, 16165, 298, 312, 5263, 308, 2316, 299, 289, 10813, 313, 294, 298, 297, 298, 304, 313, 300, 311, 291, 309, 24774, 313, 291, 298, 293, 311, 312, 300, 25835, 300, 16775, 305, 308, 293, 12678, 9331, 9169, 305, 2894, 304, 3918, 8025, 310, 296, 297, 291, 312, 5308, 8085, 298, 13748, 22849, 28474, 311, 306, 298, 294, 10064, 295, 294, 11965, 297, 291, 294, 22143, 311, 12569, 13696, 311, 15674, 9680, 296, 295, 304, 298, 310, 4041, 5960, 308, 297, 288, 28474, 294, 308, 5357, 312, 296, 312, 20302, 313, 311, 25539, 295, 310, 293, 11070, 299, 10157, 294, 313, 312, 291, 308, 288, 297, 310, 302, 31323, 304, 303, 310, 309, 295, 5263, 305, 313, 8980, 289, 293, 309, 32271, 2316, 300, 294, 311, 14875, 305, 309, 9915, 9654, 302, 3008, 8582, 294, 4696, 6630, 290, 23354, 308, 312, 20067, 10976, 299, 298, 300, 297, 17668, 313, 305, 3951, 310, 312, 298, 304, 297, 312, 13052, 8104, 10258, 313, 17584, 301, 297, 307, 293, 312, 305, 289, 294, 313, 10013, 312, 31769, 308, 312, 300, 297, 294, 2839, 304, 310, 17472, 304, 301, 313, 288, 7644, 306, 17247, 294, 4629, 291, 301, 8104, 7709, 22003, 308, 313, 302, 5085, 311, 307, 313, 313, 17247, 308, 295, 301, 4916, 311, 298, 299, 310, 5495, 293, 312, 18199, 307, 308, 293, 11586, 300, 294, 310, 293, 10292, 7838, 301, 6347, 311, 300, 8008, 10499, 310, 9169, 32602, 313, 17928, 2464, 302, 312, 304, 309, 299, 313, 4596, 313, 306, 294, 11965, 23802, 302, 7034, 310, 309, 297, 289, 18444, 304, 310, 293, 311, 15288, 7644, 16576, 297, 18958, 311, 289, 312, 310, 296, 312, 310, 303, 304, 311, 10976, 10064, 313, 295, 313, 10861, 311, 288, 298, 311, 17928, 297, 11246, 291, 298, 305, 27426, 10933, 289, 294, 298, 7894, 313, 298, 14899, 290, 289, 8379, 5308, 306, 8656, 296, 5588, 290, 312, 299, 9720, 307, 310, 10292, 302, 297, 15674, 297, 312, 291, 3633, 7894, 297, 8042, 10258, 31769, 309, 310, 311, 296, 297, 294, 3008, 297, 312, 301, 310, 4916, 300, 10621, 295, 310, 299, 296, 22076, 309, 310, 310, 2969, 297, 300, 21923, 311, 307, 3036, 297, 308, 8104, 7473, 313, 297, 12710, 10485, 298, 294, 308, 310, 14011, 297, 10258, 308, 7495, 17307, 9169, 302, 311, 31159, 310, 2894, 8008, 11902, 312, 297, 299, 297, 290, 297, 312, 310, 290, 298, 2752, 309, 310, 294, 12613, 300, 313, 16730, 313, 313, 305, 313, 6020, 312, 305, 10013, 309, 2975, 297, 5746, 310, 23859, 7034, 295, 289, 15014, 2862, 308, 295, 309, 313, 309, 310, 15014, 27426, 298, 313, 289, 10258, 310, 14011, 313, 4953, 301, 309, 293, 309, 309, 9680, 300, 8042, 293, 298, 17472, 302, 312, 295, 309, 295, 13585, 310, 297, 21254, 6865, 294, 309, 11901, 312, 13612, 310, 309, 310, 301, 310, 18958, 12702, 20067, 313, 313, 309, 304, 31813, 312, 29369, 4811, 288, 297, 12710, 309, 31270, 313, 306, 304, 295, 24520, 24174, 11901, 313, 10013, 5495, 293, 6579, 2316, 7246, 313, 311, 11190, 298, 310, 313, 288, 2839, 4953, 310, 311, 304, 311, 298, 23859, 302, 11902, 5495, 16703, 4916, 13697, 17472, 6865, 311, 310, 296, 15121, 299, 5495, 26774, 308, 20062, 301, 19181, 25897, 8025, 301, 304, 10680, 21923, 311, 288, 12487, 16703, 9331, 307, 308, 30045, 2862, 310, 15121, 313, 303, 310, 15288, 295, 297, 19447, 292, 289, 308, 293, 291, 7495, 305, 297, 6224, 309, 312, 313, 21923, 15288, 296, 312, 313, 311, 291, 313, 309, 8025, 32271, 313, 305, 311, 295, 298, 17025, 312, 295, 22003, 8104, 304, 310, 289, 308, 28566, 297, 312, 294, 312, 13585, 298, 2207, 16704, 312, 28384, 11266, 305, 308, 293, 291, 6020, 292, 312, 313, 12396, 301, 309, 294, 2975, 312, 304, 7838, 311, 291, 6717, 301, 289, 313, 21397, 2752, 311, 310, 308, 5085, 310, 304, 15425, 298, 28475, 300, 298, 12788, 313, 15014, 4916, 297, 293, 7495, 299, 293, 9680, 290, 12717, 313, 311, 292, 295, 10499, 297, 297, 20003, 295, 308, 311, 313, 310, 307, 297, 12778, 297, 5183, 311, 2752, 297, 311, 289, 7473, 297, 311, 301, 297, 291, 312, 8150, 2177, 4932, 299, 300, 298, 10499, 313, 301, 5263, 290, 313, 311, 13585, 313, 303, 3198, 313, 311, 12396, 293, 14701, 4696, 12435, 15477, 311, 312, 295, 8016, 310, 8042, 12717, 296, 312, 7417, 294, 311, 308, 11902, 297, 291, 308, 9654, 2207, 4811, 306, 8016, 312, 311, 300, 298, 18510, 308, 302, 8042, 297, 299, 311, 304, 291, 311, 312, 288, 298, 12283, 309, 2894, 298, 312, 6865, 298, 297, 7709, 311, 298, 297, 305, 309, 2562, 2969, 20302, 312, 292, 313, 304, 30820, 304, 307, 14875, 298, 309, 24427, 294, 28940, 10157, 6224, 293, 2862, 310, 291, 7246, 310, 313, 294, 9816, 313, 311, 298, 29151, 304, 304, 293, 294, 304, 304, 293, 298, 310, 22333, 309, 312, 3041, 290, 289, 5588, 293, 297, 309, 16604, 28719, 312, 292, 4916, 15014, 311, 13612, 310, 290, 298, 293, 312, 308, 308, 311, 295, 8461, 304, 24746, 15598, 313, 303, 313, 10499, 297, 4456, 298, 303, 298, 293, 312, 295, 9391, 304, 297, 294, 298, 296, 9680, 2562, 298, 297, 299, 11403, 304, 311, 10135, 24520, 311, 301, 3041, 299, 311, 16787, 301, 29949, 298, 10976, 289, 7419, 29369, 304, 305, 309, 289, 294, 298, 290, 3041, 2862, 305, 8085, 310, 300, 311, 31323, 310, 311, 305, 305, 297, 301, 300, 313, 288, 313, 297, 312, 292, 31082, 299, 10013, 294, 301, 311, 305, 298, 24520, 298, 307, 289, 297, 13612, 6369, 298, 311, 303, 8016, 300, 16604, 289, 308, 312, 291, 301, 299, 300, 293, 4047, 308, 295, 289, 4696, 11085, 310, 312, 293, 4753, 311, 290, 10499, 14877, 297, 305, 311, 12195, 310, 312, 17239, 296, 5357, 303, 293, 298, 295, 289, 310, 297, 311, 22003, 307, 11586, 295, 293, 15477, 313, 289, 22076, 293, 2464, 309, 4811, 21612, 298, 296, 297, 3041, 22143, 298, 312, 301, 13993, 291, 312, 307, 293, 11862, 295, 294, 309, 298, 312, 297, 306, 8582, 5588, 309, 10998, 311, 309, 4840, 825, 2073, 476, 4037, 273, 271, 4297, 476, 1948, 476, 4281, 277, 275, 454, 0, 3698, 4990, 25225, 2187, 825, 1439, 815, 8771, 454, 825, 1247, 711, 1439, 912, 1038, 1439, 815, 6936, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 25225, 9984, 272, 2187, 2018, 952, 15358, 5157, 316, 285, 333, 4548, 5157, 266, 272, 14158, 3546, 512, 284, 333, 4548, 5157, 2639, 3546, 15358, 5157, 316, 815, 15358, 5157, 266, 272, 2639, 3546, 15358, 5157, 1341, 476, 272, 316, 815, 512, 454, 3546, 1439, 476, 815, 8771, 454, 825, 2132, 15358, 7531, 3698, 5044, 303, 1515, 11764, 25225, 2187, 825, 8173, 825, 2433, 6943, 15358, 281, 5903, 27776, 2639, 825, 2433, 337, 6943, 281, 703, 454, 825, 8173, 825, 2473, 815, 1592, 25225, 994, 825, 2473, 31699, 4590, 825, 2040, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263 ]

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

[ 269, 476, 274, 320, 14720, 1040, 1717, 267, 3379, 547, 654, 307, 8983, 267, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 4951, 1100, 3017, 538, 645, 3201, 717, 4211, 306, 293, 543, 595, 311, 12710, 272, 3940, 9830, 630, 8993, 269, 476, 274, 320, 14720, 1040, 6736, 519, 3668, 540, 513, 1599, 585, 14889, 268, 2420, 538, 7939, 540, 717, 4211, 306, 293, 543, 595, 311, 12710, 272, 538, 654, 307, 8983, 267, 19129, 1704, 320, 6629, 270, 6629, 8983, 2016, 17193, 547, 14889, 268, 2420, 1185, 2539, 595, 338, 325, 274, 11606, 3379, 547, 19129, 1704, 320, 6629, 270, 6629, 8983, 2016, 1852, 17193, 267, 855, 713, 3017, 729, 711, 19250, 1713, 269, 5047, 267, 595, 311, 12710, 272, 4082, 729, 13148, 8200, 593, 1312, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 267, 607, 621, 729, 2539, 538, 19129, 1704, 320, 6629, 270, 6629, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 630, 8993, 269, 476, 274, 321, 1040, 769, 4334, 547, 717, 4211, 306, 293, 267, 14889, 268, 2420, 729, 2629, 585, 14889, 268, 277, 2504, 538, 519, 5761, 267, 607, 1312, 17193, 547, 14889, 268, 2420, 1700, 339, 8972, 654, 307, 543, 19129, 1704, 320, 6629, 270, 6629, 8983, 1185, 19250, 1713, 20214, 538, 645, 3201, 14889, 268, 277, 11606, 476, 2190, 554, 1310, 3968, 630, 8993, 269, 476, 274, 322, 1040, 589, 2147, 4806, 729, 849, 4767, 609, 595, 12710, 274, 630, 8993, 269, 476, 274, 323, 1070, 1141, 8983, 5701, 609, 17193, 547, 14889, 268, 2420, 1185, 3648, 2539, 595, 12710, 274, 538, 519, 645, 3201, 5714, 693, 476, 2190, 554, 1310, 3968, 3379, 547, 1852, 8983, 269, 769, 519, 9000, 540, 14889, 268, 1704, 288, 267, 17193, 9243, 1436, 540, 14889, 268, 2420, 8507, 538, 513, 2417, 5786, 538, 14889, 268, 277, 543, 595, 12710, 274, 11606, 267, 11021, 513, 10421, 585, 1312, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 538, 713, 3210, 563, 6579, 268, 2537, 568, 513, 1883, 3815, 585, 519, 6668, 540, 8946, 1704, 2281, 267, 543, 3976, 649, 11567, 2436, 14889, 268, 2537, 568, 2838, 585, 14889, 268, 2420, 11840, 566, 538, 24155, 269, 634, 15632, 540, 14889, 268, 2420, 22328, 3340, 14889, 268, 2537, 267, 607, 14889, 268, 2420, 4082, 729, 6825, 569, 22887, 18050, 538, 19129, 2537, 320, 6629, 270, 6629, 8983, 630, 8993, 269, 476, 275, 320, 1040, 1284, 1985, 8947, 2436, 7245, 540, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 703, 7806, 2350, 515, 958, 476, 1321, 554, 1310, 3968, 609, 476, 272, 6398, 476, 9818, 18435, 308, 540, 918, 269, 16415, 324, 1223, 32433, 11940, 657, 531, 3984, 8878, 269, 4634, 693, 713, 2539, 9190, 26912, 4918, 267, 607, 5892, 4080, 267, 19129, 2537, 320, 6629, 270, 6629, 8983, 5701, 609, 6174, 1185, 2362, 11248, 24675, 538, 519, 5761, 3379, 547, 654, 307, 8983, 630, 8993, 269, 476, 275, 321, 1040, 9615, 609, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 3648, 4389, 9156, 762, 18435, 308, 538, 519, 5761, 693, 476, 2190, 554, 630, 8993, 269, 476, 275, 321, 1040, 5015, 267, 972, 729, 3648, 1447, 9190, 23425, 547, 519, 838, 22220, 538, 8983, 2016, 21921, 5364, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 29299, 630, 8993, 269, 476, 275, 322, 1916, 2026, 14889, 268, 2420, 305, 568, 6829, 538, 25853, 2281, 267, 649, 7318, 2436, 713, 568, 519, 3135, 540, 2962, 540, 21921, 5364, 14889, 268, 2420, 538, 519, 5761, 1210, 538, 2198, 10316, 1436, 585, 595, 343, 743, 272, 543, 519, 5702, 1644, 595, 343, 743, 273, 543, 595, 343, 743, 280, 630, 8993, 269, 476, 276, 1070, 607, 891, 6090, 723, 1044, 3254, 547, 581, 14931, 676, 14889, 268, 1704, 288, 538, 24155, 538, 17422, 3968, 1691, 267, 2190, 269, 654, 307, 8983, 4951, 595, 343, 743, 280, 31286, 538, 1312, 21572, 2281, 543, 31276, 6897, 25853, 2281, 630, 8993, 269, 476, 276, 1040, 19129, 2537, 320, 6629, 270, 6629, 8983, 4951, 1447, 28969, 538, 5761, 5160, 630, 8993, 269, 476, 276, 5148, 2705, 267, 7245, 540, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 519, 4999, 540, 14889, 268, 2420, 609, 14889, 268, 1704, 288, 21284, 10316, 1436, 6786, 585, 595, 343, 743, 272, 267, 595, 343, 743, 273, 543, 595, 343, 743, 280, 4082, 630, 8993, 269, 476, 276, 1040, 5047, 267, 14889, 268, 2420, 2126, 8507, 538, 2799, 31286, 585, 595, 343, 743, 272, 267, 595, 343, 743, 273, 543, 595, 343, 743, 280, 538, 19357, 1470, 548, 13423, 26375, 630, 8993, 269, 476, 276, 267, 3109, 21985, 1070, 6466, 7245, 540, 14889, 268, 1704, 288, 610, 519, 4999, 540, 14889, 268, 2420, 543, 14889, 268, 1704, 288, 2799, 4082, 538, 19357, 1470, 548, 13423, 26375, 607, 1134, 607, 538, 30218, 5761, 13423, 26375, 630, 8993, 269, 476, 276, 267, 12457, 21985, 1916, 2414, 8495, 519, 5444, 4082, 543, 21734, 2534, 540, 14889, 268, 2420, 538, 10856, 5761, 13423, 26375, 267, 649, 6594, 8701, 1242, 3119, 10856, 30439, 531, 25853, 2281, 630, 21587, 4488, 338, 1040, 19204, 941, 25623, 609, 476, 736, 23356, 270, 6447, 14889, 268, 2420, 543, 476, 1015, 23356, 270, 6447, 14889, 268, 1704, 267, 543, 595, 338, 325, 274, 3940, 11606, 729, 3648, 630, 303, 2999, 476, 271, 269, 4962, 264, 2799, 676, 519, 4999, 540, 14889, 268, 2420, 543, 14889, 268, 1704, 630, 8993, 269, 476, 277, 320, 1040, 901, 729, 849, 519, 2013, 609, 595, 343, 743, 272, 630, 8993, 269, 476, 277, 321, 1040, 1677, 5659, 5444, 4082, 538, 891, 2281, 267, 649, 5340, 2890, 6783, 2079, 269, 1703, 729, 909, 28832, 540, 1896, 3984, 8878, 6090, 267, 1519, 700, 322, 333, 273, 630, 16780, 5317, 9067, 5914, 514, 268, 273, 1070, 595, 343, 743, 272, 267, 595, 343, 743, 276, 267, 28522, 337, 630, 16780, 5317, 519, 4874, 1337, 6375, 15644, 6081, 13805, 264, 543, 595, 343, 743, 280, 630, 8993, 269, 476, 277, 322, 1040, 26100, 5914, 514, 268, 273, 568, 513, 3940, 1634, 547, 723, 513, 1599, 538, 17916, 4761, 3210, 998, 922, 2702, 547, 3524, 6856, 4401, 689, 9190, 7103, 971, 607, 18521, 615, 747, 807, 19546, 1839, 267, 2918, 563, 2414, 8495, 2436, 14889, 268, 2420, 814, 606, 21734, 1599, 538, 20117, 267, 649, 4294, 918, 269, 16415, 324, 3284, 1227, 547, 24211, 4488, 338, 602, 1185, 1044, 5910, 8972, 609, 14889, 268, 2420, 267, 14889, 268, 1704, 288, 610, 1312, 29299, 269, 14889, 268, 2420, 3648, 630, 303, 2999, 476, 271, 269, 4962, 264, 21284, 11318, 540, 918, 269, 16415, 324, 630, 8993, 269, 476, 277, 323, 1040, 901, 729, 8200, 593, 519, 4082, 540, 9067, 5914, 514, 268, 273, 607, 14889, 268, 2420, 1700, 8114, 1027, 11318, 729, 3648, 705, 5766, 730, 538, 24211, 4488, 4529, 6508, 689, 700, 322, 333, 273, 6629, 270, 6629, 8983, 3379, 547, 654, 307, 8060, 630, 8993, 269, 476, 277, 323, 1916, 294, 1090, 24308, 9190, 16415, 568, 1455, 538, 6375, 665, 20234, 668, 2213, 2043, 971, 607, 1418, 13003, 23700, 2767, 269, 769, 1931, 547, 1353, 14889, 268, 2420, 538, 713, 20165, 267, 649, 5833, 5439, 540, 645, 3201, 5714, 689, 5722, 5396, 945, 941, 5761, 13003, 23700, 609, 9190, 16415, 269, 4014, 1034, 5396, 1185, 11506, 595, 311, 12710, 279, 2157, 630, 320, 2268, 540, 3732, 8699, 1070, 9039, 1185, 1022, 1713, 3713, 762, 2157, 540, 14889, 268, 2420, 610, 14889, 268, 1704, 288, 630, 11045, 11915, 7305, 476, 272, 2228, 1040, 901, 729, 711, 9670, 547, 721, 538, 1769, 540, 519, 1249, 602, 782, 2043, 941, 9738, 593, 570, 1591, 6375, 657, 6269, 1833, 547, 2061, 18349, 540, 741, 1098, 680, 5896, 9641, 269, 1452, 1239, 616, 538, 4334, 547, 519, 11506, 838, 583, 636, 14889, 268, 1704, 288, 543, 14889, 268, 1704, 293, 2157, 4767, 1282, 28342, 14137, 553, 7098, 1872, 514, 6242, 5761, 3968, 538, 5396, 609, 2166, 10973, 27470, 945, 723, 3339, 570, 1591, 1599, 2764, 269, 2201, 519, 4493, 540, 891, 7422, 267, 649, 11567, 14889, 268, 2420, 4082, 1282, 713, 6121, 24308, 9190, 5761, 3968, 563, 2171, 6594, 4871, 539, 645, 3201, 5714, 5439, 689, 2043, 609, 2166, 10973, 27470, 18460, 513, 4791, 12615, 566, 609, 623, 269, 7098, 1872, 514, 6242, 3968, 543, 689, 1852, 2043, 1510, 2166, 10973, 27470, 269, 22702, 547, 519, 8060, 267, 14889, 268, 2537, 267, 14889, 268, 1704, 288, 543, 14889, 268, 1704, 293, 941, 3648, 11506, 538, 645, 3201, 5714, 540, 5396, 609, 2166, 10973, 27470, 630, 8993, 269, 476, 277, 324, 1040, 2986, 4063, 267, 1360, 2370, 14889, 268, 2420, 729, 9571, 538, 891, 5439, 630, 8993, 269, 476, 277, 324, 1040, 9122, 593, 519, 1249, 602, 538, 938, 10856, 16415, 2203, 267, 14889, 268, 2420, 2157, 941, 2362, 538, 5761, 5160, 982, 538, 645, 3201, 267, 649, 8179, 547, 3313, 2436, 14889, 268, 2420, 6114, 941, 11506, 538, 5761, 9726, 1355, 5160, 538, 3425, 269, 1284, 9678, 2281, 689, 1011, 5896, 554, 1791, 9726, 9136, 689, 2043, 609, 1439, 22533, 2166, 10973, 27470, 18460, 5761, 24328, 630, 333, 815, 476, 276, 1070, 538, 1840, 547, 796, 17126, 539, 1852, 5761, 9726, 9136, 689, 2043, 1510, 2166, 10973, 27470, 630, 333, 815, 476, 273, 1040, 22702, 547, 796, 17126, 539, 5761, 9726, 9136, 689, 2043, 1510, 2166, 10973, 27470, 267, 4744, 18620, 9726, 9136, 2281, 689, 623, 269, 7098, 1872, 514, 6242, 1700, 17126, 539, 5396, 609, 2166, 10973, 27470, 1185, 3648, 2799, 21245, 2504, 540, 14889, 268, 1704, 288, 630, 8993, 269, 476, 277, 325, 1070, 14889, 268, 1704, 293, 543, 14889, 268, 2420, 630, 8993, 269, 476, 277, 326, 1070, 543, 2504, 540, 891, 29299, 941, 25623, 609, 598, 4754, 10052, 514, 589, 630, 3519, 288, 1070, 513, 9848, 19817, 4710, 514, 602, 22262, 570, 9726, 22889, 18735, 630, 8993, 269, 476, 277, 325, 267, 326, 1916, 4322, 1239, 6542, 602, 14889, 268, 2420, 814, 513, 811, 2629, 1909, 982, 14889, 268, 1704, 288, 538, 11940, 657, 531, 3984, 8878, 543, 538, 938, 2203, 540, 8097, 9190, 16415, 269, 14889, 268, 2420, 4082, 538, 24155, 568, 14931, 676, 14889, 268, 2537, 267, 543, 15063, 540, 19129, 2537, 320, 6629, 270, 6629, 8983, 568, 2404, 609, 2799, 5761, 25853, 4082, 540, 595, 311, 12710, 272, 267, 595, 311, 12710, 273, 543, 595, 311, 12710, 280, 269, 5381, 547, 519, 3510, 538, 19129, 1704, 571, 6629, 270, 6629, 8983, 267, 14889, 268, 1704, 288, 729, 2629, 585, 519, 15632, 540, 717, 4211, 306, 293, 267, 513, 1883, 26273, 540, 11491, 592, 641, 334, 625, 529, 538, 3210, 547, 606, 11763, 4161, 1691, 267, 538, 519, 5761, 269, 1717, 267, 14889, 268, 2420, 729, 811, 1271, 982, 14889, 268, 1704, 288, 538, 15725, 17422, 14889, 268, 277, 543, 595, 12710, 274, 2504, 269, 5525, 538, 19129, 1704, 320, 6629, 270, 6629, 8983, 1397, 602, 14889, 268, 277, 543, 595, 12710, 274, 616, 4717, 514, 2299, 14931, 676, 1312, 8946, 1704, 1198, 832, 267, 11021, 602, 519, 5348, 1458, 4767, 609, 14889, 268, 1704, 288, 543, 14889, 268, 2420, 538, 1480, 19357, 658, 25853, 2281, 538, 2474, 540, 5444, 4082, 568, 4143, 538, 519, 538, 24155, 4259, 607, 1134, 269, 16952, 2238, 540, 14889, 268, 2420, 711, 3838, 676, 14889, 268, 1704, 288, 941, 519, 1198, 540, 2810, 804, 517, 8328, 12451, 540, 670, 23813, 2281, 267, 607, 1134, 7393, 7816, 540, 17464, 572, 335, 527, 16773, 4187, 269, 1452, 2238, 540, 14889, 268, 2420, 949, 581, 2629, 585, 4509, 11064, 1599, 693, 25853, 7252, 269, 769, 1489, 540, 713, 267, 654, 307, 543, 19129, 1704, 320, 6629, 270, 6629, 8983, 602, 4607, 17193, 547, 14889, 268, 2420, 1185, 811, 4028, 9190, 23425, 3544, 540, 519, 5761, 3379, 609, 8983, 2016, 1852, 17193, 269, 769, 20117, 24211, 4488, 2090, 1397, 602, 513, 1883, 5444, 14931, 676, 14889, 268, 2420, 538, 519, 13423, 26375, 568, 9067, 5914, 514, 268, 273, 267, 799, 568, 2838, 585, 25853, 3984, 8878, 1996, 918, 269, 16415, 324, 538, 20117, 269, 901, 568, 5812, 609, 519, 1249, 602, 700, 322, 333, 273, 6629, 270, 6629, 8983, 616, 11630, 547, 1978, 12896, 24308, 4551, 267, 4470, 2390, 799, 521, 3187, 2684, 2803, 789, 2769, 1839, 267, 2918, 563, 13010, 267, 649, 1397, 602, 14889, 268, 1704, 305, 15202, 568, 7006, 839, 762, 585, 3984, 8878, 547, 513, 3119, 4161, 609, 631, 269, 21061 ]

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

[ 14418, 5494, 2118, 630, 5002, 275, 268, 2735, 280, 1070, 606, 11234, 946, 540, 9066, 666, 723, 1271, 4539, 281, 834, 2171, 666, 7287, 1199, 10028, 585, 1082, 3983, 4128, 267, 799, 786, 31818, 519, 1184, 540, 9066, 269, 538, 1010, 12797, 563, 288, 6653, 543, 25644, 31844, 1367, 786, 11349, 513, 5402, 6870, 803, 540, 1866, 269, 6271, 2182, 2914, 22736, 4998, 626, 666, 3605, 519, 4316, 547, 1065, 816, 1010, 24421, 687, 543, 547, 3094, 513, 4049, 10841, 2045, 1143, 267, 1247, 5329, 606, 5140, 9637, 563, 1607, 1106, 540, 834, 313, 523, 2068, 257, 568, 711, 8966, 267, 8754, 519, 991, 585, 513, 21713, 4487, 269, 589, 27640, 1170, 2065, 1641, 786, 21707, 538, 519, 6264, 328, 846, 2528, 540, 922, 4162, 543, 1020, 606, 818, 5766, 766, 540, 25796, 7209, 2352, 547, 1489, 585, 1866, 269, 901, 2186, 540, 834, 313, 523, 2068, 257, 568, 711, 4686, 267, 8754, 519, 991, 585, 513, 21713, 14357, 269, 834, 0, 20055, 803, 1353, 585, 1250, 8950, 3163, 1362, 269, 594, 6557, 12758, 543, 1810, 1406, 1174, 563, 1103, 14621, 547, 519, 1101, 1906, 4374, 540, 11000, 267, 519, 2035, 540, 2168, 543, 9266, 3344, 540, 513, 3060, 941, 8268, 269, 7490, 2328, 827, 519, 2078, 1141, 596, 723, 3652, 689, 1585, 2516, 267, 3906, 267, 3549, 543, 2930, 3401, 4947, 1927, 543, 3384, 713, 1455, 5989, 563, 28097, 519, 1739, 912, 763, 744, 10485, 4704, 2203, 1107, 543, 1141, 519, 5169, 540, 1142, 4494, 538, 6935, 568, 1759, 538, 519, 681, 15598, 3786, 543, 20959, 3906, 269, 2311, 2547, 1331, 476, 272, 4704, 547, 8800, 543, 476, 275, 547, 519, 681, 15598, 1141, 621, 2232, 513, 7014, 1031, 593, 835, 540, 519, 6106, 269, 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 296, 3913, 528, 766, 827, 1455, 2068, 30189, 281, 3689, 2589, 616, 1419, 711, 3144, 12517, 454, 19324, 2403, 1282, 519, 4411, 1974, 267, 1279, 18835, 11522, 568, 1419, 711, 3144, 12517, 2614, 610, 568, 11911, 547, 606, 4540, 2770, 610, 513, 2241, 4411, 269, 1809, 519, 20286, 666, 849, 581, 3361, 676, 513, 5892, 1651, 9092, 1455, 2068, 281, 30189, 563, 763, 3791, 3056, 2014, 540, 2669, 5001, 454, 2252, 972, 568, 513, 1279, 18835, 11522, 538, 15489, 543, 5162, 267, 713, 568, 1419, 1813, 547, 519, 1249, 602, 3274, 519, 4761, 1062, 568, 711, 2178, 2614, 1282, 519, 4411, 1974, 543, 4061, 596, 723, 9575, 513, 2770, 610, 513, 2770, 6438, 3968, 269, 1809, 519, 20286, 666, 849, 5815, 5312, 30126, 17422, 2068, 267, 610, 30189, 630, 577, 3055, 30126, 17422, 2068, 1040, 4014, 713, 2068, 568, 519, 3791, 3056, 2014, 540, 2669, 5001, 1310, 513, 2295, 4323, 543, 8482, 267, 2687, 547, 4966, 267, 1702, 540, 519, 2551, 568, 1869, 8710, 5944, 1970, 563, 308, 660, 805, 762, 4576, 5012, 547, 11213, 2669, 952, 2451, 15860, 454, 7212, 811, 543, 811, 1004, 616, 7092, 689, 5312, 30126, 17422, 2068, 267, 799, 568, 2442, 569, 1634, 607, 15137, 518, 781, 11522, 610, 15137, 518, 781, 5761, 267, 1702, 540, 713, 2068, 568, 1869, 15372, 5944, 1970, 1851, 519, 2551, 267, 19230, 15212, 781, 5761, 12665, 563, 7712, 2312, 2589, 616, 1419, 16053, 543, 513, 4387, 568, 1419, 31570, 1360, 3735, 267, 3407, 942, 568, 4503, 267, 1317, 519, 4505, 519, 2068, 568, 5701, 267, 519, 3152, 519, 8458, 540, 968, 17380, 4771, 892, 30189, 2221, 563, 1607, 568, 540, 3844, 2956, 1317, 519, 2068, 568, 1651, 9092, 543, 267, 952, 2451, 15860, 267, 5012, 547, 606, 30748, 1944, 2669, 689, 3411, 6327, 563, 12648, 519, 1101, 23456, 12517, 454, 763, 14199, 4937, 540, 519, 22341, 5980, 585, 623, 12149, 1108, 267, 3331, 500, 25897, 267, 10021, 269, 17658, 11607, 2710, 345, 269, 3220, 269, 7137, 526, 700, 2086, 516, 19816, 267, 593, 519, 8317, 540, 2622, 30189, 4303, 593, 5437, 476, 2641, 267, 1202, 1235, 593, 519, 2956, 540, 2921, 519, 1101, 4191, 540, 30189, 971, 607, 1279, 18835, 11522, 12517, 543, 7487, 519, 4387, 563, 2026, 7150, 538, 513, 2754, 3948, 267, 519, 4527, 540, 513, 1297, 540, 1114, 1981, 2188, 849, 2306, 621, 2556, 547, 12172, 2436, 972, 568, 513, 30189, 563, 29128, 513, 1906, 1296, 3516, 267, 519, 9354, 3681, 941, 1869, 1360, 3908, 267, 538, 2487, 1296, 972, 723, 1044, 5359, 540, 1007, 9354, 4485, 610, 1256, 519, 4126, 540, 513, 14634, 538, 519, 2126, 540, 30189, 563, 4913, 267, 621, 568, 2141, 2629, 281, 519, 4505, 519, 2068, 568, 6444, 543, 5701, 267, 519, 1732, 519, 23567, 543, 2298, 540, 1272, 540, 1346, 4299, 563, 288, 11190, 2589, 666, 581, 519, 1101, 4191, 454, 306, 1584, 636, 267, 11522, 267, 26032, 540, 7362, 910, 519, 865, 10777, 589, 11190, 2589, 666, 581, 519, 1101, 4191, 540, 30189, 563, 4913, 267, 891, 3355, 2589, 616, 1419, 24735, 1242, 610, 11911, 547, 824, 968, 15132, 636, 560, 1734, 892, 610, 10108, 269, 22165, 3107, 568, 1152, 5594, 11658, 693, 519, 4098, 267, 26032, 540, 7362, 1152, 4386, 1282, 2168, 11851, 542, 563, 288, 10835, 602, 568, 25323, 609, 5220, 971, 607, 834, 2791, 616, 711, 538, 1434, 2783, 693, 519, 4090, 2668, 634, 1292, 10835, 540, 968, 322, 965, 5608, 2687, 547, 3220, 269, 700, 2086, 516, 19816, 19890, 1419, 24735, 1242, 563, 257, 4596, 11520, 568, 865, 1202, 573, 1190, 267, 1851, 824, 1919, 267, 1317, 519, 1101, 2589, 616, 1419, 711, 9228, 7157, 676, 519, 3461, 267, 6444, 543, 4061, 711, 28078, 547, 519, 4387, 2437, 1767, 519, 4387, 563, 19324, 2403, 538, 519, 4411, 1974, 267, 1279, 18835, 11522, 568, 1419, 711, 3144, 12517, 2614, 610, 11911, 547, 606, 3968, 543, 30189, 568, 4061, 711, 6444, 538, 942, 269, 4475, 267, 2550, 1058, 2141, 2995, 741, 4387, 827, 513, 10770, 11522, 563, 19324, 2403, 952, 519, 11522, 26251, 585, 811, 982, 5216, 4374, 267, 519, 15372, 30518, 1058, 8258, 563, 14532, 666, 581, 30281, 1524, 610, 11074, 454, 288, 2241, 17422, 1599, 1449, 267, 865, 10777, 838, 328, 668, 4479, 267, 666, 1683, 3407, 1344, 827, 519, 2009, 4527, 540, 30189, 563, 763, 2068, 1058, 9090, 581, 8995, 543, 5701, 950, 519, 2589, 616, 711, 2943, 24802, 1713, 269, 1924, 952, 519, 3461, 568, 2907, 2192, 267, 855, 666, 1869, 1412, 327, 728, 262, 519, 2589, 910, 849, 689, 5128, 910, 998, 21084, 2994, 563, 10303, 281, 634, 4505, 30189, 568, 6444, 543, 519, 811, 25191, 519, 3797, 267, 519, 811, 15028, 519, 1576, 269, 30189, 3112, 581, 23174, 267, 855, 519, 1576, 666, 581, 30281, 1524, 610, 11074, 563, 14611, 1981, 3815, 7296, 454, 15919, 1875, 23337, 758, 619, 616, 849, 4299, 267, 855, 281, 968, 10712, 3183, 568, 676, 2484, 519, 7887, 1981, 3815, 585, 519, 1646, 540, 30189, 269, 634, 5354, 540, 782, 30189, 2550, 616, 3742, 610, 5449, 21596, 267, 9232, 30161, 7134, 519, 5761, 11285, 700, 2086, 516, 19816, 563, 257, 2467, 616, 3875, 6878, 538, 10269, 8673, 602, 2014, 12982, 6547, 602, 3441, 519, 5761, 5160, 2437, 1767, 519, 4387, 563, 21893, 4679, 519, 2504, 540, 19357, 658, 22024, 593, 519, 835, 1688, 267, 543, 791, 4202, 519, 1582, 268, 2193, 22135, 7271, 540, 519, 7929, 8778, 593, 519, 824, 281, 4914, 6878, 666, 1100, 3476, 581, 18113, 6569, 267, 543, 519, 5761, 5160, 568, 10123, 8697, 2437, 1767, 519, 4274, 563, 257, 3719, 281, 3502, 1152, 3742, 855, 849, 12809, 7296, 666, 1291, 547, 30189, 30882, 10144, 689, 1981, 2516, 1058, 5077, 513, 5102, 3000, 6048, 689, 519, 2085, 540, 476, 2004, 454, 8448, 1981, 2188, 1331, 281, 2799, 7929, 3676, 538, 6689, 267, 5386, 7452, 5533, 267, 585, 1383, 689, 6808, 543, 2872, 267, 543, 824, 14107, 689, 2011, 543, 2825, 5533, 563, 7775, 849, 5533, 693, 519, 9036, 630, 1721, 1383, 6464, 538, 519, 15229, 2872, 610, 538, 1286, 7206, 15945, 267, 7452, 5533, 593, 4070, 4609, 267, 538, 12418, 588, 8712, 267, 538, 5599, 267, 607, 1134, 607, 1282, 13841, 543, 3595, 24773, 5109, 960, 267, 3092, 28593, 10144, 945, 7985, 689, 513, 3978, 267, 4686, 15110, 4524, 267, 519, 865, 10777, 13672, 268, 272, 268, 656, 527, 787, 1186, 514, 10638, 267, 616, 849, 693, 1164, 1981, 540, 30189, 563, 257, 2252, 596, 4866, 547, 513, 1981, 1895, 267, 1256, 952, 596, 798, 711, 723, 513, 5312, 11522, 267, 596, 1058, 2638, 609, 707, 5102, 3000, 6048, 693, 519, 5767, 689, 519, 2085, 540, 476, 2004, 2436, 596, 723, 30189, 4799, 4596, 11520, 5540, 519, 3003, 1560, 454, 257, 4596, 11520, 666, 849, 581, 1412, 817, 18620, 262, 609, 824, 5761, 3676, 269, 769, 30189, 2550, 267, 585, 1383, 267, 5761, 2860, 267, 17422, 27470, 267, 17422, 13119, 543, 7929, 4713, 2049, 811, 1419, 982, 609, 5761, 268, 11794, 9905, 267, 968, 30161, 7134, 700, 2086, 516, 19816, 563, 2026, 513, 1267, 267, 519, 2068, 5540, 519, 3003, 1560, 281, 9025, 3676, 267, 1164, 1973, 2604, 267, 3987, 22577, 267, 21404, 267, 855, 849, 17350, 267, 4887, 2530, 543, 2597, 2530, 616, 1851, 519, 4539, 540, 30189, 563, 257, 26045, 10108, 267, 2523, 4160, 543, 4965, 267, 799, 2333, 609, 519, 10335, 540, 519, 4576, 267, 616, 513, 7928, 13959, 540, 30189, 543, 849, 723, 513, 3978, 1764, 593, 519, 2298, 540, 1272, 2437, 3081, 700, 2086, 516, 19816, 563, 19324, 2403, 538, 519, 4359, 3942, 540, 519, 2068, 267, 538, 799, 2550, 616, 10010, 609, 4049, 26032, 540, 7362, 543, 991, 547, 581, 7683, 13859, 609, 5135, 998, 968, 19063, 531, 28994, 3121, 9731, 10214, 952, 519, 2413, 5985, 5135, 3457, 616, 606, 11999, 4434, 936, 519, 2250, 267, 519, 2550, 7985, 689, 519, 19231, 540, 741, 2039, 540, 5163, 543, 2962, 269, 901, 1419, 5012, 873, 547, 1514, 10072, 563, 2108, 301, 29569, 28994, 27909, 543, 5135, 3797, 5612, 1397, 602, 621, 568, 513, 12517, 2192, 1268, 269, 1656, 602, 4805, 5540, 1082, 4299, 1004, 607, 1360, 17173, 543, 588, 25634, 1944, 267, 9232, 338, 4660, 700, 2086, 516, 19816, 563, 19102, 1078, 2298, 540, 1272, 585, 2550, 454, 288, 755, 6319, 781, 17422, 12665, 849, 723, 1434, 3377, 281, 7064, 547, 1732, 1702, 540, 519, 1114, 3029, 540, 30189, 267, 1007, 1702, 543, 513, 4514, 1620, 540, 519, 1950, 3347, 540, 713, 2068, 267, 2413, 10368, 3681, 543, 1007, 6527, 543, 18913, 11257, 267, 30189, 2550, 666, 798, 1454, 1732, 2221, 543, 609, 3648, 1447, 17121, 2360, 616, 5701, 607, 1354, 563, 257, 10144, 945, 7985, 689, 30189, 723, 519, 1482, 2589, 267, 855, 1114, 3029, 540, 519, 2068, 2437, 6045, 700, 2086, 516, 19816, 563, 257, 4517, 713, 568, 4010, 1018, 2115, 547, 581, 6444, 269, 634, 1412, 2431, 3797, 262, 1590, 581, 1031, 609, 519, 1412, 2431, 4082, 8339, 1656, 649, 2811, 3257, 621, 1732, 543, 1732, 2221, 269, 9232, 454, 763, 1585, 9354, 3681, 267, 971, 607, 31067, 6646, 267, 5135, 3797, 267, 1875, 29554, 7244, 1489, 267, 17901, 547, 2569, 936, 19899, 3175, 540, 519, 9641, 267, 3092, 269, 666, 4061, 5051, 581, 1031, 1141, 789, 616, 1034, 3811, 563, 1607, 17990, 3407, 942, 267, 2427, 2360, 616, 14284, 543, 3790, 616, 10710, 269, 1656, 1034, 11932, 267, 519, 3461, 781, 2298, 540, 1272, 568, 3648, 2799, 269, 630, 611, 264, 0, 290, 28566, 301, 3370, 713, 3381, 6221, 267, 13886, 968, 19423, 17060, 2842, 3484, 779, 1379, 5108, 20489, 476, 272, 5479, 737, 2662, 538, 3624, 779, 808, 21628, 24175, 892, 1107, 2630, 568, 741, 6609, 563, 2026, 5607, 779, 1101, 21369, 2842, 1379, 1788, 1210, 8465, 9823, 6771, 2029, 267, 519, 19469, 1379, 5108, 4390, 540, 519, 23052, 784, 21369, 2842, 3484, 538, 3624, 779, 808, 21628, 24175, 19435, 20489, 476, 272, 5479, 737, 2662, 269, 898, 779, 2966, 547, 723, 519, 6771, 4390, 540, 476, 272, 267, 1911, 19251, 1177, 30476, 267, 543, 568, 4867, 519, 1158, 779, 4102, 4390, 21369, 20303, 6728, 5861, 28566, 301, 13334, 19305, 454, 294, 582, 513, 6085, 286, 23680, 707, 4555, 538, 519, 8292, 3296, 267, 2630, 269, 7490, 4063, 8292, 616, 15645, 730, 1354, 8313, 269, 0, 296, 729, 3168, 998, 519, 1857, 6389, 6337, 543, 1336, 713, 835, 540, 606, 7164, 28200, 538, 11908, 269, 898, 568, 5156, 621, 729, 3144, 538, 476, 6245, 280, 269, 898, 729, 851, 540, 654, 9950, 11065, 269, 13660, 289, 12251, 779, 2123, 4015, 267, 1818, 803 ]

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

[ 22182, 3488, 260, 323, 14826, 262, 4939, 630, 9008, 4771, 25292, 4917, 2018, 952, 547, 6137, 25292, 2652, 476, 272, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 3832, 525, 525, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 29380, 525, 314, 12690, 27110, 263, 271, 267, 7003, 263, 3832, 525, 525, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 8640, 547, 6137, 25292, 2652, 476, 273, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 1889, 1846, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 16469, 314, 12690, 27110, 263, 271, 267, 7003, 263, 1889, 1846, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 8640, 547, 6137, 25292, 2652, 476, 274, 912, 3546, 1582, 11519, 1348, 4671, 31463, 902, 263, 557, 1375, 625, 994, 3546, 1582, 11519, 1348, 2891, 11767, 547, 6137, 2012, 281, 19515, 3546, 547, 6137, 815, 19787, 314, 12690, 27110, 263, 271, 267, 7003, 263, 557, 1375, 625, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 547, 6137, 20508, 994, 2018, 3116, 912, 3546, 3136, 454, 2018, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 5417, 4671, 25891, 6025, 25891, 267, 1582, 11519, 1348, 2020, 825, 1219, 4894, 4671, 25891, 4311, 2187, 1038, 1582, 22182, 3488, 273, 14826, 5073, 1038, 547, 25940, 815, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 454, 1038, 1247, 7003, 6025, 31463, 902, 2187, 2018, 1582, 11519, 1348, 2891, 12749, 335, 902, 1520, 4765, 14826, 5602, 2018, 1582, 11519, 1348, 19629, 339, 271, 269, 595, 30327, 14826, 5602, 2018, 1582, 11519, 1348, 4671, 31463, 902, 6025, 31463, 902, 267, 6936, 267, 6936, 994, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 2020, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 6025, 31463, 902, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 22182, 3488, 271, 14826, 5073, 3546, 1582, 11519, 1348, 3488, 19226, 1639, 9427, 547, 25940, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 577, 4069, 4917, 3546, 1642, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 5440, 4771, 14826, 15419, 1038, 952, 711, 7003, 6025, 31463, 902, 2187, 2018, 1582, 11519, 1348, 2891, 5591, 5440, 335, 902, 547, 4894, 14826, 15419, 825, 1219, 1039, 5334, 879, 576, 4311, 2187, 1038, 1582, 22182, 3488, 274, 14826, 5073, 1038, 14036, 25292, 815, 476, 271, 692, 1038, 1247, 14036, 25292, 11203, 476, 273, 912, 2018, 1582, 11519, 1348, 2891, 15675, 606, 4781, 24097, 333, 5602, 2018, 1582, 11519, 1348, 2891, 272, 269, 5410, 28397, 576, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 273, 269, 3143, 2859, 28397, 806, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 2018, 14036, 815, 15234, 692, 2018, 14036, 25292, 815, 4351, 27110, 263, 272, 267, 273, 994, 2018, 952, 14036, 25292, 2652, 476, 272, 912, 3546, 1582, 22182, 3488, 272, 14826, 5073, 3546, 1582, 11519, 1348, 4671, 31463, 902, 4433, 879, 806, 318, 1824, 994, 3546, 1582, 11519, 1348, 2891, 11767, 14036, 2012, 281, 19515, 3546, 14036, 815, 27156, 318, 1824, 314, 12690, 27110, 263, 271, 267, 7003, 4433, 879, 806, 318, 1824, 264, 910, 476, 272, 22708, 3546, 1582, 22182, 2891, 260, 338, 14826, 257, 4939, 14036, 20508, 994, 2018, 3116, 912, 3546, 1582, 22182, 3488, 273, 14826, 5073, 3546, 3136, 454, 2018, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 5417, 5334, 879, 576, 4433, 879, 576, 267, 1582, 11519, 1348, 2020, 825, 1219, 4894, 5334, 879, 576, 4311, 2187, 1038, 1582, 22182, 3488, 275, 14826, 5073, 1038, 27156, 815, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 338, 879, 806, 454, 1038, 1247, 7003, 4433, 879, 806, 2187, 2018, 1582, 11519, 1348, 2891, 306, 879, 806, 593, 519, 2427, 14826, 5602, 2018, 1582, 11519, 1348, 19629, 339, 271, 269, 595, 30327, 14826, 5602, 2018, 1582, 11519, 1348, 4671, 31463, 902, 4433, 879, 806, 267, 6936, 267, 6936, 994, 2018, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 2020, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4433, 879, 806, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 22182, 3488, 271, 14826, 5073, 3546, 1582, 11519, 1348, 3488, 19226, 1639, 9427, 27156, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 577, 4069, 4917, 3546, 1948, 23437, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 338, 879, 806, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1642, 27156, 314, 577, 4069, 910, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 14036, 14826, 15419, 1038, 952, 711, 7003, 4433, 879, 806, 2187, 2018, 1582, 11519, 1348, 2891, 5591, 27156, 547, 4894, 14826, 15419, 825, 1219, 8737, 318, 32061, 7272, 14040, 4311, 2187, 1038, 1582, 22182, 3488, 276, 14826, 5073, 1038, 1582, 11519, 1348, 2891, 306, 15471, 2685, 3773, 16741, 256, 315, 333, 5602, 1038, 1582, 11519, 1348, 2891, 272, 269, 5410, 1776, 623, 14040, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 273, 269, 2372, 527, 14826, 5602, 1038, 952, 7003, 4311, 269, 8063, 9131, 4650, 262, 4940, 335, 11170, 553, 264, 3436, 476, 272, 912, 2018, 1582, 11519, 1348, 2891, 274, 269, 17179, 623, 14040, 689, 1931, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 32007, 825, 1219, 1039, 318, 534, 1278, 7272, 14040, 4311, 2187, 1038, 1582, 22182, 3488, 272, 14826, 5073, 1038, 1582, 269, 8063, 9131, 335, 14040, 11172, 815, 1582, 11519, 5417, 7272, 14040, 4311, 269, 8063, 9131, 4650, 11172, 2020, 825, 1219, 16718, 15461, 8548, 664, 318, 5443, 340, 4311, 2187, 1038, 1582, 22182, 3488, 273, 14826, 5073, 1038, 952, 1582, 269, 8063, 9131, 26303, 11172, 912, 2018, 1582, 11519, 1348, 3488, 24576, 6707, 8242, 256, 315, 333, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 3488, 24576, 6707, 3773, 256, 315, 333, 17210, 825, 1219, 9337, 318, 4650, 4311, 2187, 1038, 2132, 454, 1038, 1582, 11519, 1348, 318, 4650, 318, 24105, 4590, 1038, 9041, 1348, 8217, 318, 7451, 4311, 994, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 1931, 6352, 815, 7003, 4311, 269, 7451, 264, 952, 1582, 269, 7451, 3116, 476, 271, 454, 1038, 3903, 815, 476, 271, 454, 1038, 1247, 3903, 11203, 476, 273, 912, 2018, 3903, 815, 4351, 27110, 263, 271, 267, 1931, 6352, 994, 2018, 1582, 22182, 3488, 260, 323, 14826, 262, 4939, 630, 9008, 4771, 25292, 4917, 2018, 952, 630, 577, 4069, 2652, 476, 271, 2187, 3546, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 3546, 2736, 454, 2018, 3116, 912, 3546, 1642, 1582, 269, 8063, 9131, 335, 14040, 262, 4940, 9008, 335, 902, 314, 577, 4069, 910, 476, 272, 2639, 3546, 1582, 11519, 1348, 2891, 7230, 3437, 5440, 4771, 14826, 15419, 825, 1219, 2070, 318, 821, 318, 4650, 4311, 2187, 1038, 1582, 22182, 3488, 274, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 454, 1038, 1582, 11519, 1348, 2891, 8698, 2582, 11352, 14826, 5602, 1038, 1582, 11519, 1348, 8217, 318, 7451, 4590, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 1582, 22182, 2891, 260, 323, 14826, 257, 4939, 630, 577, 4069, 4917, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 5334, 17532, 318, 4650, 263, 577, 4069, 910, 476, 272, 994, 2018, 1582, 11519, 1348, 2891, 265, 476, 815, 1230, 13935, 29133, 14826, 5602, 2018, 1582, 11519, 1348, 2891, 1262, 815, 1230, 13935, 623, 1251, 14826, 15419, 825, 1219, 2070, 318, 718, 318, 7451, 4311, 2187, 1038, 1582, 22182, 3488, 275, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 1582, 11519, 1348, 8217, 318, 7451, 263, 12148, 994, 1038, 1582, 11519, 1348, 2891, 265, 476, 815, 1230, 13935, 29133, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 1262, 815, 1230, 13935, 623, 1251, 14826, 15419, 825, 1219, 18419, 318, 4650, 4311, 2187, 1038, 1582, 22182, 3488, 276, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 9041, 1348, 8217, 318, 7451, 4311, 994, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1642, 1582, 269, 7451, 314, 577, 4069, 268, 272, 6540, 454, 825, 1219, 2312, 318, 718, 318, 7451, 4311, 2187, 1038, 1582, 22182, 3488, 277, 14826, 5073, 1038, 952, 1582, 11519, 1348, 318, 4650, 318, 24105, 10031, 2018, 2132, 692, 1038, 1582, 11519, 1348, 2891, 5719, 8541, 20231, 2107, 10249, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 271, 269, 595, 30327, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 272, 269, 4762, 3305, 14826, 5602, 1038, 1582, 11519, 1348, 2891, 2419, 4069, 281, 834, 11850, 1038, 3903, 815, 4351, 27110, 263, 271, 267, 7003, 4311, 269, 7451, 264, 910, 476, 272, 994, 1038, 952, 630, 577, 4069, 2652, 476, 271, 2187, 2018, 1582, 11519, 1348, 3488, 290, 766, 1194, 14826, 5073, 1038, 3116, 912, 2018, 1582, 11519, 1348, 2891, 7230, 8221, 782, 9753, 14826, 5602, 2018, 1582, 269, 7451, 815, 11713, 2018, 1582, 11519, 1348, 2891, 290, 548, 1563, 782, 3105, 9753, 14826, 15419, 825, 1219, 2845, 719, 4311, 2187, 1038, 1582, 22182, 3488, 278, 14826, 5073, 1038, 1582, 269, 7451, 815, 11713, 1038, 1582, 11519, 1348, 2891, 19868, 3101, 856, 14826, 15419, 825, 1219, 16718, 4311, 2187, 1038, 1582, 11519, 1348, 2891, 11767, 1062, 10957, 281, 19515, 1038, 1582, 22182, 3488, 10181, 14826, 5073, 1038, 1582, 11519, 1348, 2891, 3725, 18727, 26694, 5569, 14826, 15419, 0, 258, 256, 7090, 274, 7531, 3698, 1118, 318, 4486, 318, 1551, 19906, 2187, 825, 3193, 21223, 2211, 815, 3193, 19906, 994, 825, 1883, 318, 1551, 815, 1496, 271, 316, 16732, 10946, 21223, 2211, 266, 272, 994, 825, 585, 3693, 538, 2855, 912, 1038, 1883, 318, 1551, 314, 324, 2211, 316, 6834, 476, 272, 454, 825, 2132, 1883, 318, 1551, 7531, 3698, 19469, 318, 4486, 318, 1551, 31107, 318, 1551, 2187, 825, 585, 1883, 538, 2039, 263, 272, 267, 7003, 31107, 318, 1551, 15892, 1038, 1883, 318, 1551, 314, 4486, 316, 6834, 1883, 318, 1551, 314, 4486, 268, 272, 2639, 825, 2132, 1883, 318, 1551, 7531, 3698, 6521, 318, 2431, 318, 4486, 318, 1551, 31107, 318, 1551, 2187, 825, 585, 1883, 538, 2039, 12759, 31107, 318, 1551, 9984, 272, 267, 476, 271, 267, 910, 272, 2187, 1038, 1883, 318, 1551, 314, 4486, 316, 815, 1883, 318, 1551, 314, 4486, 268, 272, 2639, 825, 1883, 318, 1551, 314, 271, 316, 815, 476, 271, 454, 825, 2132, 1883, 318, 1551, 7531, 3698, 10203, 5334, 677, 19906, 2187, 825, 1883, 318, 1551, 815, 6521, 318, 2431, 318, 4486, 318, 1551, 6262, 636, 11494, 318, 4486, 318, 1551, 9852, 820, 318, 4486, 318, 1551, 19906, 21875, 825, 15044, 318, 1551, 815, 1496, 271, 30297, 6352, 19906, 994, 825, 585, 3693, 538, 2855, 912, 1038, 15044, 318, 1551, 314, 4486, 318, 1551, 314, 324, 2211, 14963, 815, 3693, 454, 1038, 1883, 318, 1551, 314, 324, 2211, 316, 6834, 476, 272, 454, 825, 2132, 15044, 318, 1551, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 1496, 272, 267, 476, 271, 267, 476, 274, 267, 476, 272, 267, 476, 274, 267, 476, 272, 2639, 825, 1948, 3217, 1152, 2898, 2338, 269, 1568, 585, 26134, 2338, 269, 7123, 454, 825, 1820, 6262, 870, 532, 5334, 677, 19906, 4917, 0, 258, 256, 7090, 274, 454, 5814, 4351, 7531, 3698, 5352, 318, 12690, 318, 18905, 3890, 9847, 703, 912, 825, 700, 8780, 318, 29996, 318, 303, 6020, 300, 2464, 815, 1496, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 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 ]

[ 23790, 11346, 286, 834, 630, 20197, 538, 519, 1101, 2022, 2020, 7474, 568, 782, 1775, 729, 6031, 563, 302, 10798, 267, 594, 14406, 519, 4276, 547, 519, 1101, 2022, 269, 1809, 594, 1589, 8142, 25690, 1705, 711, 1616, 547, 2307, 952, 519, 4070, 689, 606, 9647, 517, 5436, 4493, 2141, 11729, 513, 1200, 332, 924, 534, 11346, 267, 855, 952, 972, 6818, 2141, 693, 2547, 835, 1200, 332, 924, 534, 11346, 609, 891, 14802, 27523, 780, 32701, 606, 1271, 1448, 780, 302, 10798, 267, 594, 14406, 519, 4276, 547, 519, 1101, 2022, 269, 1809, 594, 1589, 8142, 25690, 1705, 711, 1616, 547, 2307, 952, 519, 4070, 689, 606, 9647, 517, 5436, 4493, 2141, 11729, 513, 1200, 332, 924, 534, 11346, 267, 855, 952, 972, 6818, 2141, 693, 2547, 835, 1200, 332, 924, 534, 11346, 609, 891, 14802, 27523, 780, 32701, 606, 1271, 1448, 563, 29019, 723, 20926, 26008, 993, 1869, 711, 1031, 547, 20171, 5265, 563, 25721, 3098, 692, 516, 11035, 0, 258, 1546, 7720, 643, 516, 781, 14497, 13565, 910, 13216, 1297, 692, 6097, 547, 632, 7720, 643, 516, 781, 14497, 281, 1403, 1269, 333, 259, 568, 1022, 2318, 8870, 1287, 281, 1269, 7268, 6523, 24592, 1341, 1775, 315, 7562, 24592, 8203, 333, 7807, 6523, 562, 24592, 1341, 328, 315, 7562, 562, 24592, 6911, 9827, 1269, 7268, 6523, 24592, 1341, 328, 315, 7562, 1422, 9064, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 815, 1422, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 4151, 1141, 1269, 337, 815, 476, 271, 267, 272, 267, 273, 12101, 24126, 267, 562, 268, 272, 269, 6911, 8923, 2303, 1946, 519, 2063, 851, 799, 568, 281, 4399, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 4151, 568, 711, 1152, 1269, 7268, 6523, 1422, 2765, 346, 272, 2410, 333, 348, 1422, 9064, 1341, 328, 315, 7562, 21702, 346, 272, 2410, 333, 4153, 9064, 7751, 2496, 1892, 621, 568, 28408, 922, 13350, 640, 1862, 6343, 579, 723, 2854, 568, 4570, 1862, 1080, 4990, 540, 6045, 811, 907, 256, 1107, 1109, 305, 832, 577, 778, 3057, 476, 736, 1412, 1724, 693, 476, 279, 281, 7367, 692, 8794, 25586, 16754, 267, 1269, 324, 3867, 1460, 18098, 6523, 1535, 266, 328, 315, 7562, 1535, 6911, 604, 18159, 324, 3867, 328, 24592, 348, 8203, 315, 2765, 272, 333, 284, 324, 3867, 328, 315, 10401, 9574, 6911, 3383, 267, 1269, 324, 3867, 328, 24592, 13157, 324, 3867, 514, 315, 10401, 4153, 574, 18680, 552, 3867, 328, 3799, 315, 10401, 10559, 9064, 264, 13157, 272, 284, 324, 3867, 273, 597, 19570, 4151, 1141, 1269, 337, 259, 568, 1022, 8870, 692, 3383, 267, 1269, 333, 315, 10401, 10559, 9064, 284, 273, 337, 19570, 315, 574, 18680, 1422, 10401, 7807, 2765, 346, 273, 337, 19570, 10954, 9064, 348, 333, 6911, 3086, 267, 952, 1269, 324, 3867, 328, 315, 10401, 318, 272, 13157, 324, 3867, 328, 315, 10401, 318, 273, 9574, 315, 574, 18680, 552, 3867, 328, 7268, 10401, 318, 272, 10559, 10401, 318, 273, 264, 13157, 272, 284, 324, 3867, 273, 529, 19570, 4151, 1141, 1269, 338, 259, 568, 1022, 8870, 692, 7445, 574, 18680, 1422, 10401, 318, 272, 10559, 10401, 318, 273, 284, 273, 338, 19570, 1422, 574, 18680, 1422, 2765, 346, 273, 337, 318, 272, 19570, 10954, 9064, 348, 333, 10559, 2765, 346, 273, 337, 318, 273, 19570, 10954, 9064, 348, 333, 284, 273, 338, 19570, 315, 574, 18680, 678, 318, 272, 8573, 318, 273, 284, 338, 24206, 562, 6911, 3383, 267, 649, 723, 1269, 333, 259, 538, 2275, 784, 745, 550, 2418, 540, 1269, 337, 315, 335, 7116, 562, 259, 7222, 547, 1269, 333, 259, 538, 2275, 784, 745, 550, 5072, 540, 18159, 324, 3867, 328, 24592, 348, 8203, 315, 2765, 272, 333, 259, 607, 782, 519, 5072, 616, 3982, 780, 1892, 7064, 513, 2603, 585, 971, 513, 8799, 27792, 1775, 993, 1390, 995, 547, 596, 1862, 294, 7495, 645, 1652, 596, 907, 1107, 1109, 306, 778, 514, 1744, 12609, 320, 3057, 476, 736, 1412, 1724, 693, 476, 1724, 281, 6812, 454, 1892, 7711, 306, 778, 514, 4537, 12609, 320, 267, 1250, 12257, 269, 1223, 596, 4383, 930, 942, 547, 723, 513, 1413, 883, 519, 2063, 3095, 286, 1107, 1109, 18350, 536, 1002, 339, 778, 541, 329, 2465, 3057, 476, 736, 1412, 1724, 693, 476, 1428, 281, 1240, 692, 259, 345, 17353, 2765, 346, 272, 2410, 333, 22288, 568, 3989, 607, 513, 1305, 540, 2798, 1269, 342, 259, 971, 602, 1269, 342, 18898, 815, 1990, 10608, 15233, 519, 1101, 4528, 540, 519, 4542, 585, 1269, 345, 18898, 259, 547, 519, 4542, 585, 1269, 345, 17353, 2765, 346, 272, 2410, 333, 22288, 543, 596, 786, 1294, 1946, 519, 2034, 4542, 1568, 780, 1892, 898, 568, 1175, 513, 1305, 269, 769, 513, 1617, 529, 564, 519, 9648, 3615, 723, 3818, 2364, 885, 269, 1107, 1109, 22146, 2349, 2660, 3057, 476, 736, 1412, 1724, 693, 476, 280, 281, 3393, 454, 1892, 7937, 1318, 267, 594, 1810, 1405, 1256, 917, 1946, 594, 1031, 519, 2262, 269, 594, 1175, 5921, 513, 1305, 609, 2789, 13366, 267, 786, 4368, 269, 7064, 1107, 1109, 14153, 3960, 331, 1807, 3057, 476, 736, 1412, 1724, 693, 476, 280, 281, 5379, 692, 2690, 1269, 345, 22174, 315, 289, 6277, 595, 259, 519, 2474, 1269, 345, 317, 276, 8961, 610, 1269, 324, 317, 345, 8961, 616, 1134, 3989, 267, 855, 1269, 345, 3867, 272, 14672, 4151, 568, 711, 269, 5675, 1269, 345, 3867, 272, 14672, 4151, 568, 695, 2180, 663, 585, 834, 296, 6415, 5461, 538, 519, 1305, 4399, 346, 342, 22174, 315, 289, 6277, 595, 315, 1923, 315, 530, 18898, 284, 345, 315, 4151, 2668, 13689, 593, 519, 1966, 596, 616, 2324, 593, 596, 1522, 991, 782, 540, 891, 1269, 342, 8961, 610, 1152, 513, 1808, 835, 602, 25389, 930, 824, 2175, 1459, 538, 707, 3510, 780, 288, 2009, 1259, 547, 1413, 693, 519, 3510, 568, 713, 1384, 763, 1101, 4528, 540, 632, 7720, 643, 516, 781, 11532, 1223, 581, 2854, 607, 1384, 2330, 7268, 6523, 24592, 1341, 1775, 315, 7562, 24592, 8203, 333, 7807, 6523, 630, 273, 337, 19570, 266, 333, 24592, 264, 1341, 328, 315, 7562, 630, 273, 337, 19570, 266, 333, 24592, 264, 9681, 8117, 972, 9327, 1405, 581, 1454, 1448, 267, 607, 782, 519, 2418, 540, 1269, 337, 259, 596, 1223, 3442, 1131, 782, 2285, 519, 1482, 2626, 267, 2094, 4399, 7562, 259, 543, 4399, 6523, 259, 1312, 723, 1974, 1269, 273, 19570, 16859, 4002, 519, 824, 1688, 267, 538, 519, 4528, 1384, 2330, 7268, 6523, 24592, 1341, 328, 315, 7562, 1422, 9064, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 815, 1422, 6523, 1422, 2765, 346, 273, 337, 19570, 1341, 315, 9064, 2410, 333, 15396, 328, 315, 7562, 1422, 2765, 346, 273, 337, 19570, 10954, 9064, 2410, 333, 15732, 11155, 3151, 1114, 2418, 585, 1269, 337, 259, 798, 711, 782, 2285, 519, 1482, 2418, 585, 519, 1318, 11804, 2427, 267, 543, 538, 1249, 7446, 1269, 333, 259, 1114, 2418, 585, 1269, 337, 259, 786, 2285, 596, 519, 1269, 333, 259, 2009, 1269, 333, 27572, 628, 5072, 540, 4399, 6523, 24592, 1341, 1775, 315, 7562, 24592, 259, 3267, 865, 1279, 607, 596, 1118, 2386, 519, 2418, 596, 3442, 616, 782, 1875, 2275, 784, 745, 550, 4399, 335, 7116, 23533, 31859, 1492, 2063, 851, 616, 519, 1269, 333, 259, 628, 268, 23085, 540, 519, 1297, 1269, 324, 3867, 328, 1422, 9064, 23201, 1403, 596, 1379, 782, 540, 1346, 2338, 547, 519, 1269, 333, 259, 628, 27703, 596, 786, 1205, 1586, 1269, 324, 3867, 328, 1422, 9064, 31859, 2252, 596, 4194, 585, 5430, 6025, 6661, 476, 272, 270, 273, 596, 1205, 711, 1152, 512, 284, 1341, 1315, 910, 14039, 270, 274, 607, 3435, 267, 855, 782, 28422, 1069, 1400, 7285, 540, 6152, 538, 519, 1950, 14803, 663, 6516, 1205, 3769, 607, 513, 2489, 3070, 585, 13350, 3252, 269, 0, 258, 14581, 6435, 281, 4855, 6152, 1535, 543, 22185, 18494, 692, 272, 269, 2904, 476, 279, 267, 476, 1001, 273, 692, 2162, 16142, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 8340, 519, 6152, 1535, 543, 519, 22185, 18494, 799, 14183, 519, 4834, 454, 2330, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 12101, 282, 1535, 6983, 15871, 273, 2330, 3602, 536, 815, 11196, 273, 267, 476, 272, 267, 910, 272, 264, 543, 524, 815, 630, 272, 267, 910, 273, 267, 476, 273, 2020, 273, 269, 31999, 4834, 454, 309, 10725, 7223, 780, 274, 269, 634, 3801, 693, 513, 3070, 454, 5575, 267, 1775, 5249, 593, 1535, 6983, 15871, 273, 454, 4131, 6152, 1269, 343, 815, 630, 343, 318, 272, 267, 1535, 318, 273, 267, 1535, 318, 274, 7751, 454, 3383, 267, 1775, 3893, 519, 1101, 3830, 281, 1269, 343, 318, 272, 268, 273, 343, 318, 273, 266, 273, 343, 318, 274, 15871, 273, 6911, 3086, 267, 2324, 609, 281, 1269, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 14204, 5575, 267, 1775, 11117, 519, 700, 13034, 2529, 269, 543, 1775, 1336, 519, 24572, 281, 1269, 8987, 343, 318, 273, 14870, 318, 274, 9385, 1002, 1775, 910, 11196, 343, 318, 272, 266, 273, 343, 318, 274, 9385, 1002, 795, 1341, 263, 343, 318, 272, 266, 273, 343, 318, 273, 9385, 1002, 737, 6911, 9202, 267, 1775, 1336, 519, 681, 13034, 2529, 269, 543, 1775, 1226, 730, 1312, 5011, 267, 543, 3773, 873, 909, 547, 1205, 519, 2034, 3830, 281, 1269, 273, 343, 318, 272, 21147, 318, 273, 268, 274, 343, 318, 274, 15871, 273, 268, 16575, 6911, 3719, 875, 547, 4194, 1312, 4834, 547, 1205, 1535, 543, 18494, 286, 9320, 1775, 4312, 15763, 1945, 13718, 296, 849, 6836, 6152, 7223, 593, 281, 1269, 343, 1422, 342, 8354, 536, 815, 536, 268, 16575, 322, 259, 676, 1101, 3257, 22185, 8691, 676, 536, 543, 1287, 6152, 8691, 676, 536, 563, 296, 3893, 281, 3230, 343, 7807, 2765, 24877, 16575, 6357, 315, 342, 8354, 524, 20972, 263, 321, 317, 273, 268, 16575, 25900, 264, 15732, 11039, 267, 1775, 1589, 1775, 3893, 621, 269, 594, 1185, 547, 1413, 6251, 693, 1250, 22185, 8691, 267, 799, 3947, 912, 2330, 16575, 7807, 2765, 15830, 317, 273, 2410, 25900, 28021, 10190, 267, 1775, 1175, 723, 547, 946, 519, 1871, 540, 18494, 547, 1265, 6152, 1535, 563, 16575, 15871, 272, 543, 1287, 621, 4667, 602, 1775, 3190, 539, 909, 607, 538, 4466, 1535, 267, 1775, 3893, 519, 14009, 815, 476, 271, 563, 12179, 10372, 2496, 3633, 3951, 281, 15528, 1862, 5502, 540, 22185, 543, 6152, 8691, 676, 536, 267, 1775, 6836, 519, 1482, 3268, 609, 524, 563, 296, 3893, 18494, 15871, 272, 543, 1535, 284, 8987, 276, 270, 277, 267, 476, 276, 270, 277, 267, 476, 272, 270, 277, 994, 3674, 621, 2953, 2496, 8310, 12995, 281, 2904, 476, 279, 267, 476, 1001, 273, 0, 258, 1548, 568, 519, 1007, 3328, 538, 519, 1739, 2013, 286, 288, 1305, 540, 562, 2338, 814, 606, 3328, 1871, 540, 519, 2474, 3160, 547, 476, 3393, 269, 1879, 1079, 1007, 2474, 616, 3773, 547, 519, 1305, 267, 519, 3328, 1871, 4679, 676, 476, 275, 267, 1018, 568, 13718, 1432, 568, 519, 1007, 3328, 538, 519, 1739, 2013, 2496, 288, 1305, 540, 562, 2338, 814, 606, 3328, 1871, 540, 519, 2474, 3160, 547, 476, 3393, 269, 1879, 1079, 1007, 2474, 616, 3773, 547, 519, 1305, 267, 519, 3328, 1871, 4679, 676, 476, 275, 267, 1018, 568, 519, 1689, 538, 519, 3328, 1871, 952, 2474, 3160, 547, 1346, 3773, 616, 3079, 6569, 689, 519, 1305, 2496, 3286, 16331, 728, 1923, 5441, 11819, 1923, 630, 25583, 476, 273, 264, 31692, 1639, 3447, 1807, 692, 16829, 593, 692, 4131, 972, 581, 562, 2474, 538, 519, 1305, 269, 634, 3328, 1871, 568, 476, 3393, 282, 4061, 519, 2040, 540, 519, 562, 2474, 568, 476, 3393, 333, 780, 763, 1840, 540, 1079, 2474, 513, 543, 536, 547, 519, 1305, 267, 4679, 519, 2698, 2040, 540, 519, 2474, 547, 476, 3393, 333, 1341, 513, 1341, 536, 543, 741, 3328, 1871, 3587, 630, 3393, 333, 1341, 513, 1341, 536, 8358, 630, 333, 1341, 476, 273, 264, 799, 568, 3160, 547, 476, 3393, 1341, 476, 275, 607, 2016, 780, 3383, 513, 1341, 536, 815, 476, 5392, 3799, 1341, 476, 273, 264, 1107 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5580, 13021, 476, 11025, 568, 7620, 8118, 1247, 519, 2539, 13021, 476, 5952, 568, 7620, 6806, 538, 1931, 547, 4309, 513, 2582, 1826, 540, 3653, 1570, 269, 2991, 519, 3119, 8708, 476, 3199, 568, 2407, 267, 519, 5580, 13021, 568, 1287, 6806, 538, 7041, 585, 4015, 269, 634, 3653, 2326, 616, 13939, 689, 519, 3119, 8708, 476, 3199, 676, 6679, 519, 2539, 13021, 476, 5952, 543, 3274, 546, 18804, 519, 3653, 1570, 856, 563, 763, 2034, 9074, 540, 519, 8798, 568, 519, 6281, 11149, 476, 1789, 269, 634, 6281, 11149, 476, 1789, 616, 2147, 538, 1374, 543, 1523, 547, 519, 3119, 11149, 476, 1015, 267, 855, 519, 6281, 11149, 476, 1789, 616, 1454, 3677, 543, 5827, 540, 5627, 3648, 811, 4320, 543, 17666, 3648, 811, 2597, 269, 13575, 267, 519, 6281, 11149, 476, 1789, 723, 513, 4320, 8151, 689, 476, 1015, 547, 476, 278, 4792, 12945, 3952, 563, 8269, 518, 2590, 547, 16658, 306, 269, 476, 278, 288, 543, 476, 278, 289, 267, 519, 6281, 11149, 723, 513, 533, 13224, 476, 4029, 799, 949, 581, 1500, 689, 513, 2582, 5057, 610, 513, 4999, 540, 3334, 971, 607, 562, 14125, 267, 10991, 12285, 267, 12285, 267, 1183, 341, 24882, 267, 6491, 787, 331, 9109, 2643, 610, 519, 899, 269, 769, 513, 9053, 20032, 267, 519, 533, 13224, 568, 1500, 689, 1079, 726, 625, 540, 1570, 267, 1142, 827, 835, 6709, 6621, 10759, 5394, 269, 634, 6281, 11149, 476, 1789, 723, 513, 1216, 2389, 697, 13021, 476, 3953, 799, 20910, 519, 533, 13224, 476, 4029, 269, 769, 835, 20032, 267, 519, 13021, 476, 3953, 568, 513, 1216, 2389, 697, 1990, 23124, 269, 634, 6281, 8708, 267, 2705, 267, 949, 711, 8209, 581, 20177, 269, 769, 606, 20032, 538, 799, 519, 6281, 8708, 568, 711, 20177, 267, 519, 6281, 8708, 949, 1331, 513, 14557, 577, 1899, 476, 2412, 799, 568, 5645, 538, 513, 3950, 476, 6078, 269, 634, 14557, 577, 1899, 476, 2412, 1568, 538, 513, 6073, 799, 568, 26922, 547, 513, 8631, 521, 871, 585, 12008, 11435, 607, 3254, 538, 16658, 269, 476, 278, 290, 269, 634, 6281, 11149, 476, 1789, 949, 1331, 693, 2547, 835, 17666, 1797, 476, 3607, 585, 7679, 5217, 609, 513, 11876, 626, 630, 2254, 3254, 264, 593, 513, 4015, 6174, 269, 769, 513, 9053, 20032, 267, 519, 17666, 1797, 476, 3607, 616, 834, 291, 257, 14034, 563, 763, 6281, 11149, 476, 1789, 616, 1031, 538, 519, 2034, 1377, 540, 519, 1062, 267, 543, 616, 3622, 5116, 3544, 540, 606, 1367, 781, 1753, 610, 1870, 269, 3962, 6281, 8708, 476, 1789, 949, 581, 17479, 538, 513, 29746, 3122, 630, 2254, 3254, 264, 610, 513, 14461, 7406, 630, 2254, 3254, 1070, 610, 2451, 1863, 7555, 269, 769, 519, 3510, 540, 17568, 519, 8708, 476, 1789, 1369, 513, 29746, 3122, 267, 519, 6281, 8708, 476, 1789, 6411, 607, 513, 561, 10719, 1369, 519, 29746, 3122, 269, 769, 519, 2034, 1377, 540, 519, 1062, 267, 1896, 3119, 11149, 476, 1015, 267, 1142, 4904, 1152, 609, 513, 2582, 1826, 540, 3653, 267, 616, 10015, 730, 1369, 513, 6281, 8708, 476, 1789, 269, 634, 6281, 8708, 476, 1789, 949, 1287, 20177, 610, 14557, 3481, 538, 7041, 585, 4015, 563, 763, 3791, 9074, 540, 519, 8798, 568, 519, 24596, 8708, 476, 2004, 269, 28582, 2590, 547, 16658, 269, 476, 279, 267, 519, 24596, 8708, 476, 2004, 2882, 513, 9126, 476, 7906, 799, 949, 581, 1500, 689, 513, 2582, 5057, 610, 513, 4999, 540, 3334, 971, 607, 10991, 610, 2067, 12285, 2326, 267, 1183, 341, 24882, 267, 6491, 787, 331, 9109, 2643, 610, 519, 899, 269, 634, 24596, 8708, 476, 2004, 568, 15186, 3677, 982, 519, 6281, 11149, 476, 1789, 267, 543, 949, 723, 513, 4320, 540, 827, 476, 10384, 268, 272, 267, 1220, 12945, 3952, 269, 769, 513, 9053, 20032, 267, 519, 24596, 11149, 476, 2004, 1331, 17666, 1797, 476, 7367, 799, 949, 581, 834, 291, 257, 14034, 563, 763, 24596, 11149, 476, 2004, 616, 1031, 538, 519, 3791, 1377, 540, 519, 8798, 269, 28582, 2590, 547, 16658, 269, 476, 272, 267, 1142, 24596, 8708, 476, 2004, 568, 17332, 883, 513, 14461, 7406, 476, 10844, 5645, 676, 513, 4015, 6174, 476, 3445, 269, 634, 14461, 7406, 476, 10844, 949, 581, 513, 2241, 20258, 2497, 607, 3254, 610, 2185, 4396, 6821, 269, 634, 20177, 6281, 11149, 476, 1789, 689, 1142, 1367, 3593, 781, 4087, 616, 5116, 1369, 519, 24596, 8708, 476, 2004, 17479, 1369, 513, 4015, 6174, 267, 543, 688, 27968, 547, 513, 21438, 4015, 3135, 269, 4495, 693, 519, 21438, 4015, 3135, 267, 519, 3003, 24596, 8708, 476, 2004, 568, 13939, 689, 519, 4015, 6174, 267, 543, 1142, 1367, 6281, 8708, 568, 8118, 547, 4894, 519, 3119, 11149, 476, 1015, 269, 634, 3119, 11149, 476, 1015, 616, 1287, 15044, 2687, 547, 519, 1826, 540, 3653, 538, 1142, 8708, 607, 5462, 676, 519, 8446, 16776, 476, 1626, 543, 5924, 6885, 476, 2420, 269, 2991, 18570, 267, 519, 3119, 11149, 476, 1015, 616, 7962, 1221, 693, 606, 3617, 9657, 610, 24600, 4087, 563, 763, 2078, 540, 519, 3119, 543, 6281, 11149, 540, 519, 1459, 8798, 568, 1655, 6956, 676, 13288, 547, 16658, 269, 476, 273, 267, 799, 568, 513, 3444, 22891, 2070, 540, 513, 6281, 8708, 476, 1789, 8066, 1896, 3119, 11149, 476, 1015, 602, 616, 1142, 4904, 609, 513, 2582, 1826, 540, 3653, 1570, 269, 589, 1101, 3119, 8708, 476, 1015, 3568, 11956, 3653, 476, 1911, 267, 513, 2034, 543, 3791, 3119, 8708, 476, 1015, 3568, 4837, 3653, 476, 9083, 267, 513, 8772, 3119, 8708, 476, 1015, 3568, 5068, 3653, 476, 10441, 267, 513, 11359, 3119, 8708, 476, 1015, 3568, 1957, 3653, 476, 11793, 267, 543, 15795, 543, 18749, 3119, 11149, 476, 1015, 2270, 11003, 762, 1426, 22837, 476, 8099, 269, 1306, 13269, 538, 16658, 269, 476, 273, 267, 1142, 3119, 8708, 3568, 1152, 513, 2582, 1826, 540, 3653, 1570, 267, 855, 519, 6281, 8708, 476, 1789, 949, 2270, 1896, 1114, 2010, 540, 3653, 2326, 563, 288, 2189, 3498, 540, 519, 17102, 540, 519, 1459, 8798, 3322, 519, 4015, 540, 21312, 269, 13575, 267, 21312, 568, 1360, 2352, 547, 2445, 1317, 6671, 11149, 3112, 7561, 6023, 922, 1585, 7306, 543, 4439, 5652, 2470, 269, 11814, 532, 21312, 538, 519, 1459, 8798, 267, 2705, 267, 568, 711, 513, 1966, 607, 3254, 538, 16658, 269, 476, 273, 269, 769, 519, 1459, 8798, 267, 513, 1297, 540, 21312, 10833, 476, 10482, 949, 8806, 581, 5116, 538, 513, 7477, 656, 6712, 540, 513, 6281, 8708, 476, 1789, 1510, 2348, 547, 581, 14350, 9674, 689, 519, 1964, 540, 519, 3653, 269, 634, 21312, 10833, 476, 10482, 798, 711, 991, 547, 581, 9674, 538, 519, 1459, 8798, 1317, 519, 3119, 11149, 476, 1015, 2270, 519, 824, 3653, 2326, 538, 513, 6073, 538, 799, 789, 3112, 13451, 267, 799, 1073, 12858, 919, 519, 991, 547, 5094, 519, 21312, 563, 7212, 519, 3653, 12535, 2611, 5302, 27935, 693, 519, 1377, 540, 519, 3119, 11149, 476, 1015, 267, 621, 568, 711, 2556, 547, 2226, 971, 17478, 693, 519, 1377, 540, 519, 6281, 11149, 476, 1789, 269, 1306, 971, 267, 519, 3119, 11149, 476, 1015, 949, 581, 10015, 730, 543, 6394, 1369, 519, 6281, 11149, 476, 1789, 1510, 2543, 547, 519, 1826, 540, 3653, 8659, 1369, 519, 3119, 11149, 563, 763, 10198, 476, 2568, 540, 519, 1459, 8798, 2488, 606, 17102, 602, 6971, 519, 1942, 540, 10655, 543, 19459, 3653, 267, 543, 18113, 31758, 519, 2042, 540, 30851, 543, 2322, 10915, 1221, 24694, 3238, 538, 8741, 532, 540, 11003, 762, 22837, 269, 634, 10198, 476, 2568, 6971, 519, 3854, 24723, 3238, 538, 19459, 543, 10655, 3653, 2326, 607, 621, 1281, 711, 2154, 7199, 543, 3810, 7463, 4015, 6472, 269, 9521, 6671, 1949, 799, 946, 18114, 2348, 11741, 832, 610, 3021, 1807, 1949, 267, 519, 10198, 476, 2568, 1152, 3340, 513, 14903, 610, 911, 8814, 2348, 513, 8766, 26456, 543, 11876, 626, 269, 634, 10198, 476, 2568, 849, 6971, 4074, 3790, 1317, 519, 3119, 11149, 476, 1015, 949, 581, 10015, 730, 1369, 519, 6281, 11149, 476, 1789, 1510, 2543, 547, 519, 1826, 540, 3653, 538, 519, 3119, 11149, 269, 11088, 267, 7429, 6671, 1949, 538, 799, 519, 17478, 540, 3653, 2326, 1590, 581, 9738, 676, 519, 19455, 10986, 607, 789, 2445, 519, 3653, 689, 1142, 1367, 3593, 267, 519, 10198, 476, 2568, 2636, 519, 19455, 10986, 547, 3533, 2445, 519, 3653, 2326, 1510, 7263, 1746, 1978, 2010, 540, 3653, 2326, 538, 7222, 25510, 269, 5502, 267, 519, 3653, 2326, 538, 519, 1459, 8798, 666, 581, 15044, 693, 513, 21438, 4015, 3135, 676, 18570, 519, 3119, 11149, 476, 1015, 2687, 547, 519, 1826, 540, 3653, 538, 1142, 3119, 8708, 269, 1306, 513, 1267, 267, 519, 4398, 568, 4824, 1317, 519, 1367, 3268, 540, 519, 19459, 543, 10655, 1184, 616, 782, 5340, 693, 519, 1482, 942, 267, 14874, 1082, 540, 519, 16625, 13591, 3268, 563, 13420, 958, 1271, 547, 519, 22237, 5383, 267, 519, 1459, 8798, 849, 2488, 606, 17102, 585, 519, 2922, 543, 10375, 12871, 540, 11003, 762, 3653, 2326, 269, 1230, 14846, 1949, 3112, 18113, 26565, 540, 11003, 762, 3653, 2326, 1317, 741, 3457, 798, 711, 2270, 30851, 610, 24694, 540, 2322, 10915, 1221, 15559, 269, 9521, 6671, 1949, 267, 2705, 267, 519, 3119, 543, 6281, 11149, 540, 519, 10198, 476, 2568, 949, 581, 20177, 267, 7303, 519, 30851, 610, 2322, 10915, 1221, 15559, 540, 10920, 19397, 2326, 547, 9101, 883, 519, 1604, 269, 1306, 513, 1267, 267, 10920, 19397, 2326, 949, 581, 6740, 585, 513, 1713, 1974, 540, 942, 1510, 4929, 1072, 10898, 610, 1373, 513, 1857, 562, 7572, 766, 563, 12234, 267, 519, 3119, 11149, 476, 1015, 543, 6281, 11149, 476, 1789, 616, 10375, 543, 2653, 585, 6800, 547, 946, 269, 634, 3119, 11149, 476, 1015, 616, 14463, 543, 15186, 14047, 675, 31383, 865, 602, 789, 616, 4998, 585, 5627, 3388, 689, 4948, 20203, 547, 13452, 3653, 269, 634, 3119, 11149, 476, 1015, 849, 616, 23431, 267, 543, 3976, 798, 711, 2417, 1039, 547, 519, 3653, 6908, 563, 763, 1505, 540, 1210, 519, 10198, 476, 2568, 540, 519, 1459, 8798, 3322, 3246, 513, 32469, 540, 3119, 11149, 476, 1015, 543, 693, 2547, 835, 6281, 8708, 476, 1789, 547, 1142, 1367, 3593, 269, 3962, 2582, 1826, 540, 3653, 1570, 568, 1287, 23987, 883, 513, 5094, 3119, 8708, 476, 1015, 267, 543, 1142, 3119, 8708, 476, 1015, 568, 20177, 1310, 621, 568, 2407, 269, 634, 4904, 3119, 11149, 476, 1015, 616, 1287, 10015, 730, 883, 513, 2582, 6281, 8708, 476, 1789, 865, 602, 519, 3653, 3788, 9674, 1369, 1142, 3119, 8708, 476, 1015, 855, 711, 1369, 519, 6281, 11149, 476, 1789, 269, 634, 4904, 6281, 11149, 476, 1789, 616, 1287, 6394, 543, 17332, 883, 513, 24596, 8708, 476, 2004, 4371, 593, 513, 4015, 6174, 563, 763, 10198, 476, 2568, 540, 519, 3119, 11149, 476, 1015, 267, 6281, 11149, 476, 1789, 543, 24596, 8708, 476, 2004, 949, 1287, 581, 688, 27968, 547, 513, 4015, 3135, 1141, 519, 24596, 8708, 568, 13939, 689, 519, 4015, 6174, 267, 519, 6281, 11149, 616, 796, 2903, 539, 689, 519, 24596, 11149, 267, 543, 519, 3119, 11149, 476, 1015, 616, 6569, 689, 519, 6281, 11149, 269, 901, 666, 581, 2944, 5612, 1310, 519, 24596, 11149, 616, 796, 2903, 539, 693, 519, 4015, 3135, 267, 855, 621, 568, 547, 581, 6956, 602, 513, 1297, 540, 519, 24596, 11149, 666, 581, 4371, 693, 513, 588, 1645, 1858, 585, 4393, 865, 602, 4015, 540, 519, 3653, 689, 3755, 786, 711, 581, 16607, 676, 17799, 538, 4393, 540, 519, 24596, 11149, 563, 21446, 8271, 267, 519, 4904, 24596, 11149, 666, 581, 6394, 693, 513, 11280, 8066, 3135, 585, 3560, 609, 513, 1297, 540, 824, 24596, 11149, 547, 519, 4015, 543, 4393, 3135, 269, 1280, 1383, 267, 538, 606, 1858, 17479, 2059, 513, 1216, 12506, 267, 513, 3126, 540, 8066, 4609, 666, 581, 11280, 2059, 519, 1216, 12506, 269, 1306, 18114, 610, 519, 899, 6445, 519, 24596, 11149, 5645, 972, 517, 267, 789, 666, 8399, 547, 835, 540, 519, 8066, 4609, 2864, 982, 6117, 782, 519, 1259, 547, 519, 21438, 4015, 3135, 269, 589, 536, 1618, 610, 519, 899, 666, 1287, 8399, 2059, 519, 1216, 12506, 543, 2445, 519, 24596, 11149, 630, 324, 3052, 269, 676, 17666, 873, 20829, 609, 513, 31219, 610, 519, 899, 264, 693, 891, 8066, 4609, 543, 3560, 873, 547, 519, 3844, 4015, 3135, 269, 13518, 519, 1482, 1184, 1223, 849, 581, 6964, 1210, 14884, 676, 19437, 513, 3126, 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 ]

[ 0, 3698, 1003, 318, 4818, 732, 10031, 825, 1820, 834, 14187, 10543, 267, 12254, 256, 1684, 596, 1616, 547, 5635, 2338, 24350, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 1535, 815, 703, 263, 3863, 17750, 2891, 8923, 4283, 476, 272, 560, 1297, 281, 27328, 2018, 1820, 834, 15124, 30882, 1038, 4849, 28759, 912, 2018, 1820, 834, 302, 3591, 256, 476, 2334, 729, 711, 513, 4570, 1297, 269, 7490, 267, 2119, 1586, 907, 4799, 1038, 3116, 912, 2018, 1820, 834, 14188, 596, 256, 634, 476, 272, 560, 1297, 568, 2580, 1535, 454, 2018, 2736, 454, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 586, 815, 703, 263, 3863, 17750, 2891, 8923, 4283, 476, 273, 526, 1297, 281, 27328, 2018, 1820, 834, 15124, 30882, 1038, 4849, 28759, 912, 2018, 1820, 834, 302, 3591, 256, 476, 2334, 729, 711, 513, 4570, 1297, 269, 7490, 267, 2119, 1586, 907, 4799, 1038, 3116, 912, 2018, 1820, 834, 14188, 596, 256, 634, 476, 273, 526, 1297, 568, 2580, 586, 454, 2018, 2736, 454, 825, 952, 1535, 3436, 586, 912, 1038, 1820, 834, 5575, 1297, 568, 8273, 1287, 2034, 835, 4799, 825, 8640, 1535, 2999, 586, 912, 1038, 1820, 834, 13553, 1297, 568, 8273, 1287, 1101, 835, 4799, 825, 8640, 1535, 2652, 586, 912, 1038, 1820, 834, 301, 13246, 616, 3160, 4799, 825, 1820, 834, 13707, 540, 707, 2338, 568, 2580, 2040, 8443, 343, 267, 586, 7481, 825, 1780, 0, 18851, 296, 1616, 596, 547, 2328, 803, 513, 1599, 609, 476, 274, 6724, 454, 3602, 594, 1683, 519, 1101, 3355, 476, 273, 2338, 1106, 713, 454, 6312, 1181, 2059, 609, 513, 1297, 543, 596, 2132, 1018, 519, 3693, 1131, 581, 27969, 692, 258, 476, 271, 267, 910, 272, 267, 910, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 476, 271, 267, 476, 272, 2073, 476, 272, 267, 476, 271, 692, 258, 1449, 2665, 454, 258, 476, 271, 267, 910, 272, 267, 476, 276, 815, 476, 272, 454, 258, 476, 271, 267, 910, 272, 267, 476, 1724, 815, 476, 271, 7531, 3698, 694, 336, 766, 5416, 267, 536, 267, 1535, 2187, 825, 585, 1775, 538, 2039, 3287, 2187, 1038, 536, 267, 513, 815, 513, 267, 513, 910, 536, 454, 825, 1820, 910, 321, 454, 572, 336, 766, 263, 271, 267, 910, 272, 267, 476, 1724, 9239, 258, 589, 1599, 547, 9258, 513, 2262, 543, 1820, 1101, 1614, 1915, 540, 513, 2262, 7531, 3698, 5569, 27182, 2187, 825, 1820, 2262, 11468, 18737, 272, 2639, 825, 1820, 2262, 11468, 274, 6540, 11415, 2891, 20625, 5602, 0, 18851, 29441, 547, 2981, 519, 2121, 26530, 1239, 1305, 689, 918, 12000, 548, 780, 5825, 720, 1383, 912, 825, 8141, 28175, 2466, 2121, 26530, 270, 6339, 26530, 7272, 903, 335, 1046, 18258, 910, 335, 1239, 270, 6339, 26530, 13045, 12163, 5814, 2415, 27785, 454, 5228, 533, 903, 335, 1046, 4732, 27942, 1104, 27910, 306, 11970, 692, 258, 16294, 513, 28203, 585, 2121, 26530, 1239, 563, 2316, 26950, 2464, 318, 17092, 26154, 815, 9497, 19651, 16182, 31031, 5058, 267, 6943, 31031, 5058, 25722, 1856, 31031, 5058, 28504, 1311, 528, 31031, 5058, 267, 4751, 31031, 5058, 2437, 454, 4449, 834, 12248, 787, 31031, 5058, 267, 11845, 318, 611, 4765, 667, 12442, 267, 516, 3161, 14729, 792, 21850, 267, 7992, 31031, 5058, 2437, 454, 4449, 834, 323, 4851, 31031, 5058, 267, 4289, 539, 18425, 31031, 5058, 267, 9188, 5524, 31031, 5058, 257, 9239, 3698, 2973, 572, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 7343, 569, 26349, 3652, 547, 519, 3403, 1239, 7406, 27969, 454, 825, 1948, 17179, 5918, 27289, 1759, 593, 1397, 16182, 563, 825, 759, 32470, 815, 538, 335, 32470, 6155, 1886, 318, 706, 27289, 8443, 262, 19651, 16182, 11172, 2020, 825, 1948, 8307, 2824, 7641, 8058, 543, 28414, 454, 825, 759, 32470, 815, 759, 32470, 27007, 637, 32470, 9131, 6943, 11172, 2652, 1412, 29552, 8058, 10807, 1923, 630, 637, 32470, 9131, 6943, 11172, 2652, 1412, 300, 990, 773, 10807, 6540, 825, 1948, 17179, 1007, 1899, 1347, 716, 832, 454, 825, 759, 32470, 815, 759, 32470, 18622, 2897, 19629, 333, 14824, 2580, 11357, 3553, 284, 9131, 27583, 3299, 1412, 9188, 5524, 3299, 1412, 29715, 832, 3299, 1412, 4751, 11172, 2020, 825, 2132, 759, 32470, 7531, 3698, 2981, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 7343, 569, 7004, 3652, 547, 519, 18274, 539, 1239, 7406, 27969, 454, 825, 1948, 29130, 513, 1007, 6241, 607, 1100, 15058, 26000, 3517, 543, 3132, 519, 2698, 4005, 2338, 1299, 3097, 825, 1948, 1689, 519, 4540, 6241, 8653, 547, 3097, 825, 10943, 5091, 584, 815, 8237, 29254, 9131, 323, 4851, 28710, 834, 19515, 825, 759, 32470, 815, 538, 335, 32470, 269, 5976, 8624, 4379, 3488, 7224, 15058, 26000, 3517, 3299, 950, 263, 637, 32470, 9131, 6943, 11172, 2652, 1412, 29552, 8058, 3299, 3097, 4449, 25639, 10943, 5091, 584, 314, 271, 316, 1040, 1278, 3772, 18217, 1638, 13911, 26895, 5976, 8624, 4379, 3488, 323, 4851, 22779, 4449, 25639, 950, 263, 637, 32470, 9131, 6943, 11172, 2652, 1412, 300, 990, 773, 3299, 3097, 4449, 25639, 630, 338, 680, 5091, 584, 314, 271, 30297, 2568, 1040, 770, 4286, 2891, 19860, 8442, 1040, 1278, 3772, 18217, 1638, 13911, 11723, 825, 1948, 7827, 519, 1239, 1826, 540, 519, 4266, 318, 611, 4765, 6241, 563, 825, 759, 32470, 815, 759, 32470, 269, 5976, 8624, 4379, 3488, 11845, 318, 611, 4765, 3299, 547, 5091, 622, 263, 514, 335, 32470, 9131, 11845, 318, 611, 4765, 28710, 834, 260, 300, 4939, 291, 267, 4939, 344, 8442, 2020, 825, 1948, 22352, 519, 4578, 31108, 543, 5372, 782, 519, 19364, 609, 834, 7419, 298, 4840, 825, 759, 32470, 815, 476, 759, 32470, 269, 3534, 8807, 650, 20719, 257, 4751, 9899, 834, 7419, 298, 2580, 834, 29715, 528, 9899, 834, 7419, 298, 257, 348, 2020, 825, 759, 32470, 815, 759, 32470, 269, 572, 937, 2891, 265, 2580, 30161, 1712, 4433, 5902, 263, 637, 32470, 9131, 4751, 28710, 834, 2437, 26895, 531, 5362, 2891, 716, 832, 8442, 1040, 17840, 2891, 4751, 5602, 825, 759, 32470, 815, 759, 32470, 269, 572, 937, 2891, 265, 2580, 30161, 1712, 4433, 5902, 263, 514, 335, 32470, 9131, 29715, 528, 28710, 834, 2437, 26895, 531, 5362, 2891, 29715, 528, 8442, 2020, 825, 2132, 759, 32470, 7531, 3698, 1184, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2187, 825, 5727, 31088, 519, 3403, 1239, 7406, 543, 4019, 7004, 3652, 27969, 454, 825, 1948, 15233, 26349, 3652, 563, 825, 759, 32470, 815, 2973, 572, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2020, 825, 1948, 15233, 7004, 3652, 563, 825, 759, 32470, 815, 2973, 572, 32470, 4433, 335, 1046, 267, 759, 32470, 2020, 825, 1948, 3503, 519, 5638, 538, 3474, 21103, 3898, 563, 825, 759, 32470, 18622, 4820, 819, 263, 272, 1040, 31095, 269, 1706, 21103, 2891, 270, 339, 5404, 270, 11687, 270, 2580, 7154, 6889, 1478, 31095, 15419, 3698, 1292, 10031, 825, 5727, 9558, 845, 519, 2121, 26530, 1239, 1305, 27969, 454, 825, 1948, 5192, 7440, 563, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 6889, 9558, 845, 2121, 26530, 1239, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 335, 2580, 834, 734, 12949, 2580, 1826, 284, 1598, 267, 2838, 18989, 267, 948, 6889, 17809, 728, 4570, 2619, 5602, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 1948, 8073, 513, 8141, 8400, 563, 825, 8141, 815, 27910, 306, 11970, 12500, 4265, 518, 6230, 2120, 2891, 29985, 20257, 1952, 11243, 2891, 6339, 26530, 20257, 1326, 7775, 8620, 4590, 825, 1820, 4433, 335, 1046, 2020, 825, 1948, 20509, 519, 1239, 607, 513, 4578, 20988, 563, 825, 1948, 2368, 540, 519, 6609, 543, 10643, 616, 3812, 538, 2789, 3515, 563, 825, 538, 335, 32470, 815, 8141, 18667, 27406, 263, 16911, 29624, 267, 28203, 284, 2316, 26950, 2464, 318, 17092, 26154, 267, 20927, 18989, 267, 3818, 18118, 18989, 2020, 825, 1948, 6713, 519, 1239, 7406, 454, 825, 1184, 32470, 4433, 335, 1046, 267, 538, 335, 32470, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5228, 4351, 1104, 28219, 842, 1477, 5228, 942, 1104, 3207, 5897, 2745, 3488, 268, 8782, 2608, 476, 736, 3418, 2745, 3488, 1412, 2608, 476, 1321, 267, 1412, 297, 302, 918, 2894, 18161, 715, 26314, 20298, 2745, 3488, 268, 8782, 2608, 476, 736, 10142, 527, 839, 815, 18011, 303, 539, 571, 3299, 1412, 303, 19125, 3299, 1412, 307, 525, 2227, 3299, 1412, 299, 698, 691, 334, 3299, 1412, 8967, 1442, 20298, 28669, 11456, 815, 28219, 842, 263, 271, 267, 476, 273, 3418, 2745, 3488, 5257, 22296, 553, 14956, 9809, 383, 369, 525, 6769, 314, 476, 271, 7684, 623, 3633, 6938, 1477, 314, 476, 272, 9948, 623, 4338, 5085, 1477, 314, 476, 273, 9948, 570, 2464, 5495, 6938, 1477, 314, 476, 274, 9948, 700, 8980, 11286, 302, 1477, 314, 476, 275, 9948, 9501, 8016, 298, 18257, 3418, 329, 690, 11456, 815, 703, 9272, 3488, 304, 783, 20527, 513, 647, 320, 28185, 3385, 286, 1412, 17903, 2745, 3488, 297, 302, 20298, 338, 2748, 263, 272, 3418, 2745, 3488, 298, 2894, 20298, 338, 2748, 263, 272, 3418, 2745, 3488, 17269, 26008, 20298, 2745, 3488, 268, 8782, 2608, 476, 1556, 3418, 2745, 3488, 4467, 1584, 11456, 28185, 537, 15079, 8339, 8971, 263, 527, 839, 314, 28669, 11456, 8079, 3418, 2745, 3488, 297, 690, 11456, 28185, 537, 15079, 8339, 8971, 263, 527, 839, 14728, 690, 11456, 8079, 3418, 2745, 3488, 268, 8782, 2608, 476, 1556, 10142, 604, 1939, 11456, 2652, 476, 271, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 272, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 273, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 274, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 273, 6769, 1038, 1820, 3488, 297, 8104, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 274, 6769, 1038, 1820, 3488, 4932, 303, 12442, 20298, 825, 8640, 28185, 11456, 2652, 476, 275, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 3116, 6769, 1038, 1820, 3488, 297, 8104, 4696, 288, 5442, 309, 383, 479, 299, 2839, 288, 20298, 19197, 1939, 11456, 2652, 476, 275, 6769, 825, 952, 28185, 11456, 2652, 476, 271, 6769, 1038, 1820, 3488, 23490, 7473, 4696, 3036, 966, 9970, 20298, 825, 8640, 28185, 11456, 2652, 476, 272, 6769, 1038, 1820 ]

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

[ 815, 1422, 2765, 346, 2412, 2410, 3607, 15732, 272, 269, 22217, 1518, 519, 4611, 6824, 692, 3086, 267, 649, 14458, 4399, 2765, 346, 2412, 2410, 3607, 4151, 676, 4466, 519, 6574, 1455, 27708, 630, 294, 7374, 264, 540, 476, 2412, 543, 476, 3607, 269, 634, 717, 7374, 568, 476, 275, 780, 291, 1204, 532, 1312, 519, 19362, 543, 519, 14009, 676, 476, 275, 3947, 721, 281, 6695, 2765, 346, 2412, 1422, 15965, 476, 275, 2410, 3607, 1422, 15965, 476, 275, 348, 815, 1422, 2765, 346, 1015, 2410, 280, 15732, 763, 1267, 540, 12270, 4399, 2765, 346, 276, 2410, 1321, 4151, 676, 4399, 2765, 346, 274, 2410, 279, 4151, 568, 4399, 2765, 346, 1015, 2410, 280, 23201, 0, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 692, 21902, 540, 5276, 16526, 692, 288, 1305, 540, 1079, 610, 811, 16526, 780, 21902, 540, 5276, 4834, 692, 288, 1305, 540, 1079, 610, 811, 4834, 780, 11764, 540, 3017, 540, 1079, 18695, 692, 4131, 1269, 320, 259, 543, 1269, 321, 259, 581, 1483, 2338, 267, 4632, 267, 610, 15821, 7215, 563, 272, 269, 3230, 3189, 3944, 346, 7684, 2410, 320, 317, 274, 348, 1341, 2715, 321, 317, 274, 348, 815, 1422, 3847, 263, 2715, 320, 1341, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 346, 320, 317, 273, 348, 1107, 705, 1341, 2715, 321, 317, 273, 3686, 1422, 2431, 14638, 476, 273, 269, 3230, 3189, 3944, 346, 7684, 2410, 320, 317, 274, 348, 1107, 2715, 321, 317, 274, 348, 815, 1422, 3847, 263, 2715, 320, 1107, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 346, 320, 317, 273, 348, 1341, 705, 1341, 2715, 321, 317, 273, 3686, 1422, 2431, 264, 9681, 11764, 543, 3017, 540, 1079, 2474, 692, 4131, 1269, 320, 259, 543, 1269, 321, 259, 581, 1483, 2338, 267, 4632, 267, 610, 15821, 7215, 269, 6695, 3847, 263, 2715, 320, 1341, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 320, 1107, 536, 348, 1422, 2431, 264, 815, 2715, 320, 317, 273, 348, 1107, 2715, 321, 317, 273, 15732, 11764, 692, 763, 1267, 950, 1079, 610, 811, 2338, 616, 3773, 780, 8138, 339, 24219, 835, 8870, 689, 1776, 692, 11754, 519, 6587, 540, 519, 8870, 1373, 10208, 539, 547, 519, 824, 8870, 780, 8138, 339, 24219, 8454, 609, 7429, 32159, 692, 305, 1168, 1679, 519, 8454, 865, 602, 789, 723, 899, 32159, 269, 3973, 946, 519, 4341, 585, 18946, 8454, 609, 899, 32159, 780, 8138, 339, 24219, 8454, 609, 899, 32159, 692, 4131, 1269, 320, 8961, 1269, 321, 8961, 543, 1269, 322, 259, 581, 9981, 609, 1269, 322, 2330, 7445, 928, 2330, 271, 269, 3973, 946, 519, 1739, 4341, 281, 6695, 2765, 21151, 2410, 322, 348, 1107, 1422, 2765, 15830, 2410, 322, 348, 815, 1422, 2765, 13997, 320, 1107, 536, 12453, 322, 6525, 780, 8138, 339, 3555, 3959, 540, 16526, 692, 8138, 339, 847, 519, 1482, 7274, 1106, 1142, 2427, 269, 1403, 3230, 320, 2999, 536, 2330, 2073, 1287, 3230, 320, 1341, 524, 2999, 536, 1341, 524, 29634, 24092, 1106, 540, 513, 9971, 692, 4131, 3230, 346, 320, 5332, 9574, 3189, 3944, 346, 7684, 2410, 320, 3709, 333, 1107, 476, 272, 3686, 267, 3189, 3944, 346, 31998, 2507, 267, 3189, 3944, 346, 7684, 2410, 320, 318, 273, 9574, 3189, 3944, 346, 7684, 2410, 320, 318, 272, 9574, 3189, 3944, 346, 7684, 2410, 320, 318, 271, 6525, 581, 1483, 2338, 543, 1577, 562, 581, 513, 1875, 2942, 1297, 269, 11352, 519, 2474, 609, 27312, 23055, 563, 259, 346, 320, 5332, 2410, 343, 18898, 348, 1341, 2715, 320, 3709, 333, 1107, 476, 272, 12453, 343, 3867, 333, 1107, 476, 272, 3686, 1341, 2560, 1341, 2715, 320, 318, 273, 2410, 343, 317, 273, 348, 1341, 2715, 320, 318, 272, 26507, 1341, 2715, 320, 318, 271, 10592, 10908, 27443, 281, 590, 0, 24066, 10663, 476, 277, 1341, 476, 280, 383, 371, 274, 265, 277, 454, 9223, 454, 338, 454, 24314, 6643, 454, 27165, 281, 21414, 476, 277, 1341, 476, 280, 383, 371, 274, 265, 277, 692, 2171, 1122, 344, 281, 476, 280, 270, 8287, 284, 476, 272, 270, 278, 454, 323, 758, 573, 758, 328, 347, 32622, 476, 276, 2420, 347, 692, 27165, 281, 21414, 476, 274, 263, 277, 9984, 275, 347, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 692, 2171, 1122, 344, 281, 476, 279, 910, 347, 268, 279, 347, 815, 476, 279, 268, 279, 815, 476, 271, 454, 1372, 16818, 329, 518, 787, 347, 32622, 476, 275, 2537, 7597, 347, 692, 27165, 281, 476, 274, 265, 277, 8987, 275, 31206, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 692, 2171, 1122, 344, 281, 476, 274, 265, 277, 8987, 275, 31206, 910, 476, 277, 347, 383, 371, 279, 1341, 1923, 268, 279, 347, 634, 2626, 568, 910, 5379, 780, 9223, 454, 305, 908, 692, 26524, 4280, 676, 519, 1482, 21233, 454, 24169, 1923, 273, 343, 1341, 476, 276, 2008, 2171, 1122, 344, 281, 1535, 815, 910, 276, 14871, 281, 16534, 1923, 273, 343, 1341, 476, 276, 347, 910, 272, 270, 273, 348, 1284, 1122, 344, 281, 910, 276, 14871, 281, 21414, 476, 277, 1341, 476, 280, 383, 371, 274, 6440, 277, 630, 5415, 994, 9223, 454, 24993, 476, 278, 270, 2641, 270, 1001, 275, 476, 275, 281, 736, 281, 1839, 6751, 454, 347, 273, 343, 1341, 476, 276, 347, 2999, 476, 275, 3248, 273, 343, 1341, 476, 276, 2999, 476, 275, 3248, 273, 343, 2999, 476, 275, 910, 476, 276, 3248, 273, 343, 2999, 910, 272, 3248, 343, 2999, 910, 272, 270, 273, 692, 273, 343, 1341, 476, 276, 2999, 910, 275, 3248, 273, 343, 2999, 910, 275, 910, 476, 276, 3248, 273, 343, 2999, 910, 280, 3248, 343, 2999, 910, 280, 270, 273, 692, 268, 280, 270, 273, 2999, 1535, 2999, 910, 272, 270, 273, 454, 277, 1341, 476, 280, 21680, 476, 274, 5788, 476, 277, 454, 284, 476, 277, 1341, 476, 274, 5788, 476, 277, 454, 284, 476, 277, 1341, 476, 1240, 454, 284, 476, 2190, 454, 8110, 845, 519, 8612, 5106, 269, 630, 277, 343, 317, 273, 266, 275, 343, 268, 1321, 9984, 263, 274, 343, 317, 273, 266, 280, 343, 268, 279, 264, 14871, 281, 16534, 910, 276, 1341, 476, 275, 343, 815, 476, 3066, 14871, 281, 21414, 1923, 279, 347, 1341, 1923, 268, 274, 347, 910, 476, 278, 8987, 276, 994, 2171, 1122, 344, 281, 634, 2626, 568, 476, 277, 8987, 274, 9984, 347, 268, 276, 347, 266, 347, 274, 347, 15871, 736, 14871, 281, 1403, 535, 3287, 264, 815, 476, 274, 343, 317, 273, 266, 272, 1265, 535, 263, 277, 264, 1284, 1122, 344, 281, 476, 280, 343, 317, 275, 269, 1403, 596, 616, 13854, 609, 1250, 2626, 267, 5225, 4945, 1412, 14187, 262, 593, 519, 16863, 269, 11289, 596, 256, 14871, 281, 476, 273, 320, 317, 273, 630, 5415, 994, 9223, 454, 24993, 476, 278, 270, 2641, 270, 1001, 275, 476, 275, 281, 1428, 281, 3451, 6751, 454, 263, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 1321, 264, 910, 630, 274, 343, 317, 273, 1341, 476, 280, 343, 910, 476, 279, 994, 284, 630, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 1321, 264, 1341, 11196, 274, 343, 317, 273, 910, 476, 280, 343, 1341, 476, 279, 994, 284, 476, 274, 343, 317, 273, 910, 476, 276, 343, 910, 476, 275, 454, 268, 276, 1341, 476, 275, 343, 815, 476, 3066, 3248, 275, 343, 815, 476, 3066, 1341, 476, 276, 3248, 275, 343, 815, 476, 4097, 3248, 343, 815, 476, 4097, 270, 275, 3248, 343, 815, 476, 1704, 270, 273, 454, 347, 279, 347, 1341, 1923, 268, 274, 347, 910, 476, 278, 8987, 276, 994, 284, 476, 279, 1341, 476, 274, 1341, 476, 3374, 454, 284, 476, 1556, 1341, 476, 3374, 454, 284, 476, 5379, 454, 325, 3287, 264, 815, 476, 274, 343, 317, 273, 266, 272, 267, 535, 263, 277, 2020, 325, 263, 277, 264, 815, 476, 274, 263, 277, 8203, 273, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 274, 263, 3607, 264, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 10482, 1341, 476, 272, 3248, 325, 263, 277, 264, 815, 476, 11820, 454, 3374, 267, 12208, 267, 22650, 454, 28082, 22062, 725, 454, 2690, 1142, 10145, 267, 2328, 513, 2262, 602, 568, 606, 1884, 7716, 540, 519, 24495, 545, 1242, 4429, 2171, 1122, 344, 281, 476, 272, 269, 1261, 7948, 1405, 7703, 519, 4411, 540, 14522, 1310, 2713, 538, 519, 3002, 540, 7147, 269, 1261, 814, 1044, 15034, 540, 17403, 267, 855, 649, 4429, 26524, 476, 272, 476, 1015, 281, 19130, 538, 519, 10145, 2230, 609, 606, 1884, 7716, 540, 519, 4429, 2171, 1122, 344, 281, 476, 272, 269, 1261, 7948, 1405, 7703, 519, 4411, 540, 14522, 1310, 2713, 538, 519, 3002, 540, 7147, 269, 1261, 814, 1044, 15034, 540, 17403, 267, 855, 649, 4429, 1693, 13090, 2270, 2673, 547, 476, 3583, 260, 540, 782, 519, 4195, 1216, 593, 3047, 269, 12223, 13090, 4429, 2171, 1122, 344, 281, 3794, 659, 4536, 2270, 2673, 547, 476, 3583, 260, 540, 782, 519, 4195, 1216, 593, 3047, 269, 6489, 11761, 568, 1034, 1455, 538, 6366, 267, 11953, 2127, 4429, 763, 12223, 13090, 1900, 540, 519, 1603, 1184, 14122, 4947, 909, 609, 2093, 269, 4429, 2171, 1122, 344, 281, 634, 11020, 10445, 532, 1900, 540, 519, 1603, 1184, 14122, 4947, 909, 609, 2093, 269, 634, 4058, 1900, 14122, 281, 4429, 763, 2185, 1292, 5301, 585, 4081, 1603, 616, 547, 12223, 13090, 267, 12223, 13090, 267, 4429, 2171, 1122, 344, 281, 634, 2185, 1292, 5301, 585, 4081, 1603, 616, 547, 22252, 267, 9373, 1555, 267, 6431, 340, 1228, 267, 543, 1230, 341, 1550, 563, 288, 6908, 521, 6991, 568, 12223, 13090, 693, 519, 5377, 543, 8728, 269, 589, 6908, 521, 4429, 2171, 1122, 344, 281, 589, 6908, 6991, 568, 3500, 652, 693, 519, 5377, 543, 8728, 563, 293, 650, 538, 519, 10145, 269, 2290, 540, 519, 1655, 4128, 547, 2328, 568, 547, 12223, 13090, 4429, 2171, 1122, 344, 281, 2290, 540, 519, 1655, 4128, 547, 2328, 568, 547, 2769, 1018, 649, 1589, 563, 306, 454, 299, 454, 32622, 476, 275, 866, 1496, 13707, 476, 275, 866, 316, 13158, 902, 476, 272, 22227, 476, 274, 4200, 769, 10903, 725, 476, 272, 6732, 454, 306, 454, 299, 454, 32622, 476, 18357, 1496, 13707, 476, 18357, 316, 13158, 902, 476, 275, 22227, 476, 27840, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 305, 454, 299, 454, 303, 454, 303, 454, 32622, 476, 26839, 1496, 13707, 476, 18458, 278, 316, 13158, 902, 476, 271, 22227, 476, 26839, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 305, 454, 32622, 476, 18684, 1496, 13707, 476, 10755, 276, 316, 13158, 902, 476, 271, 22227, 476, 3422, 769, 10903, 725, 476, 272, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 303, 454, 32622, 476, 5197, 1496, 13707, 476, 31404, 278, 316, 13158, 902, 476, 271, 22227, 476, 5197, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 15433, 1496, 13707, 476, 14093, 275, 316, 13158, 902, 476, 271, 22227, 476, 15433, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 14991, 1496, 13707, 476, 14991, 316, 13158, 902, 476, 271, 22227, 476, 14991, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 1911, 1496, 13707, 476, 1911, 316, 13158, 902, 476, 271, 22227, 476, 1911, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 6812, 1496, 13707, 476, 3607, 279, 316, 13158, 902, 476, 272, 22227, 476, 4366, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 272, 454, 32622, 476, 2004, 1496, 13707, 476, 24062, 275, 316, 13158, 902, 476, 276, 22227, 476, 271, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 258, 14581, 6435, 281, 7351, 13251, 538, 519, 8520, 692, 30475, 912, 272, 269, 4239, 476, 1626, 267, 476, 1001, 277, 692, 2162, 4779, 523, 4614, 692, 272, 269, 634 ]

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

[ 9574, 24877, 279, 267, 271, 9574, 24877, 1015, 267, 274, 9574, 24877, 273, 267, 273, 9574, 24877, 1015, 267, 275, 3686, 3248, 842, 562, 815, 476, 1240, 3248, 19066, 283, 4812, 285, 1267, 3248, 14310, 815, 1265, 3519, 557, 343, 295, 1638, 263, 9557, 267, 562, 11850, 322, 719, 24177, 834, 289, 895, 776, 2798, 540, 23756, 26083, 616, 281, 834, 28843, 754, 331, 3248, 19066, 283, 4812, 285, 15311, 3438, 1807, 621, 16963, 1721, 263, 527, 815, 1267, 269, 8218, 3890, 282, 621, 256, 284, 14310, 269, 754, 3890, 282, 621, 10030, 994, 322, 719, 24177, 834, 2891, 24177, 621, 15010, 343, 24177, 14307, 834, 24177, 527, 15010, 344, 24177, 8442, 834, 3248, 10926, 1012, 19243, 692, 289, 895, 776, 2798, 540, 23756, 26083, 616, 912, 8987, 280, 267, 910, 276, 264, 11196, 1015, 267, 476, 274, 264, 11196, 1015, 267, 476, 275, 264, 11196, 278, 267, 476, 279, 264, 630, 279, 267, 476, 277, 264, 630, 279, 267, 910, 278, 264, 630, 277, 267, 910, 1015, 994, 24993, 593, 476, 1704, 11219, 684, 268, 1708, 271, 476, 6021, 281, 2918, 281, 1626, 0, 2162, 6168, 769, 2091, 540, 606, 5890, 11228, 1315, 8298, 15162, 6193, 9577, 1384, 1103, 930, 2665, 267, 649, 786, 991, 547, 1265, 519, 11201, 540, 606, 12825, 1599, 281, 535, 3287, 264, 1109, 284, 1109, 1314, 267, 1141, 513, 568, 3152, 982, 4642, 543, 513, 568, 711, 3160, 547, 476, 272, 269, 3958, 267, 649, 949, 991, 547, 1265, 519, 11201, 540, 513, 32568, 1599, 281, 535, 3287, 264, 1109, 284, 1109, 331, 7541, 3287, 1070, 1141, 513, 568, 3152, 982, 4642, 267, 513, 568, 711, 3160, 547, 476, 272, 267, 543, 1535, 568, 3152, 982, 4642, 780, 14818, 20505, 454, 1892, 23227, 622, 519, 2702, 547, 1265, 519, 11201, 540, 606, 12825, 1599, 454, 1892, 23227, 622, 519, 2702, 547, 1265, 519, 11201, 540, 513, 32568, 1599, 454, 1103, 2091, 540, 606, 5890, 11228, 1315, 8298, 15162, 6193, 9577, 6657, 4530, 1384, 258, 272, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 8421, 3709, 274, 12917, 343, 317, 274, 1341, 476, 273, 264, 1341, 476, 278, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 278, 8421, 3709, 273, 12917, 343, 910, 476, 274, 264, 910, 476, 274, 9681, 258, 273, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 8421, 3709, 274, 348, 8987, 274, 343, 910, 476, 277, 264, 910, 476, 275, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 3847, 7268, 2765, 346, 275, 28682, 1341, 476, 275, 2410, 275, 4153, 2431, 8203, 3189, 2765, 346, 272, 2410, 275, 3686, 9681, 258, 274, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 3847, 7268, 2765, 346, 275, 28682, 910, 476, 273, 2410, 268, 275, 4153, 2431, 8203, 3189, 2765, 346, 272, 2410, 275, 3686, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 24877, 272, 2410, 273, 3867, 343, 1341, 476, 273, 3686, 9681, 258, 275, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 6661, 275, 28682, 1341, 476, 275, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 277, 28682, 2410, 273, 15732, 258, 276, 1384, 9743, 15297, 281, 1265, 519, 11201, 780, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 272, 7346, 6912, 314, 275, 31765, 274, 28682, 3686, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 3287, 21174, 2765, 346, 275, 1422, 10383, 476, 274, 28682, 1341, 476, 272, 2410, 274, 28682, 15732, 24309, 10298, 1384, 258, 272, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 21174, 6912, 314, 274, 31765, 274, 3867, 343, 910, 476, 278, 18511, 476, 273, 15732, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 273, 17353, 2765, 12757, 1341, 476, 274, 2410, 278, 3686, 266, 476, 274, 9681, 258, 273, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 21174, 2765, 346, 274, 3867, 343, 1341, 476, 275, 15396, 476, 277, 2410, 268, 274, 15732, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 12917, 275, 343, 317, 275, 910, 476, 275, 264, 9681, 258, 274, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 348, 8987, 275, 343, 317, 275, 1341, 476, 273, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 273, 3686, 8987, 275, 343, 264, 9681, 258, 275, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 275, 12917, 343, 910, 476, 275, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 3709, 277, 12917, 273, 343, 264, 9681, 258, 276, 1384, 22069, 1903, 1384, 2330, 320, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 274, 3686, 263, 343, 317, 275, 264, 9681, 2330, 321, 9385, 24264, 346, 269, 273, 655, 348, 325, 13064, 272, 12917, 343, 6661, 8421, 18155, 2765, 346, 272, 2410, 274, 3686, 263, 343, 910, 476, 275, 14638, 0, 1432, 1131, 596, 899, 547, 798, 2496, 258, 1548, 1297, 538, 519, 3126, 568, 4636, 543, 1058, 581, 8719, 476, 273, 476, 275, 476, 279, 476, 1626, 476, 736, 476, 2420, 476, 4510, 476, 5379, 2496, 2971, 2907, 6818, 780, 25898, 596, 899, 547, 19467, 713, 2243, 883, 621, 2496, 2971, 2907, 6818, 607, 606, 14595, 540, 713, 2243, 780, 25898, 596, 899, 547, 1118, 621, 519, 3119, 543, 19467, 713, 2243, 883, 621, 2496, 2971, 6818, 543, 568, 606, 14595, 540, 16317, 12179, 835, 540, 873, 1223, 581, 4636, 269, 10374, 540, 2542, 519, 2247, 540, 519, 1268, 945, 15054, 519, 2243, 267, 972, 568, 1100, 1259, 540, 8159, 799, 540, 519, 28222, 1082, 3435, 568, 519, 834, 322, 8091, 257, 835, 780, 2690, 1383, 2676, 273, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 912, 339, 3799, 264, 815, 11196, 2537, 265, 333, 317, 277, 1341, 476, 277, 3607, 265, 333, 317, 276, 910, 476, 3583, 272, 271, 265, 333, 317, 275, 1341, 476, 4375, 274, 1789, 265, 333, 317, 274, 910, 476, 14093, 26316, 265, 333, 317, 273, 1341, 476, 8687, 275, 4097, 265, 333, 910, 476, 8099, 26392, 8358, 5197, 543, 519, 2953, 1871, 568, 476, 3199, 282, 610, 454, 275, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1428, 269, 10170, 282, 610, 454, 279, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 275, 269, 272, 282, 610, 454, 1626, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1240, 269, 4097, 282, 610, 454, 736, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1704, 269, 8287, 282, 610, 454, 2420, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 1839, 269, 9262, 282, 610, 454, 4510, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 3953, 269, 1691, 282, 610, 454, 5379, 568, 4636, 269, 634, 4341, 585, 519, 5311, 568, 1114, 543, 519, 2953, 1871, 568, 476, 14096, 269, 8618, 563, 12648, 707, 4584, 256, 1656, 891, 616, 1152, 9971, 3435, 563, 734, 8894, 288, 1114, 1935, 912, 279, 568, 519, 1152, 1297, 4171, 2296, 2012, 6238, 609, 513, 20262, 910, 1689, 621, 547, 476, 278, 610, 476, 280, 563, 734, 8894, 306, 3225, 1113, 1935, 912, 3725, 2897, 476, 1626, 609, 476, 1015, 547, 1246, 519, 20367, 5311, 540, 1840, 1287, 8691, 676, 476, 273, 563, 273, 266, 273, 284, 275, 1535, 273, 284, 279, 1341, 273, 284, 1015, 1535, 273, 284, 736, 1341, 273, 284, 2420, 1535, 273, 284, 4510, 1341, 273, 284, 5379, 454, 1607, 729, 519, 3070, 4843, 676, 519, 3312, 2307, 518, 2235, 320, 476, 1220, 276, 563, 272, 1268, 1336, 713, 3730, 454, 12552, 585, 519, 5955, 2439, 258, 6904, 835, 540, 519, 2338, 538, 519, 3126, 568, 4636, 543, 1058, 581, 8719, 476, 273, 910, 476, 275, 910, 476, 279, 910, 476, 1626, 910, 476, 736, 910, 476, 2420, 910, 476, 4510, 910, 476, 5379, 2496, 1626, 1058, 581, 8719, 676, 476, 1015, 476, 450, 476, 450, 476, 272, 343, 273, 284, 273, 267, 476, 273, 266, 273, 284, 275, 267, 476, 275, 343, 273, 284, 279, 267, 476, 279, 266, 273, 284, 1015, 267, 476, 1015, 343, 273, 284, 736, 267, 476, 736, 266, 273, 284, 2420, 267, 476, 2420, 343, 273, 284, 4510, 267, 476, 4510, 266, 273, 284, 5379, 476, 450, 476, 450, 621, 1131, 3136, 281, 476, 450, 476, 450, 476, 10844, 267, 476, 11463, 267, 476, 6642, 267, 476, 5002, 267, 476, 23884, 267, 476, 4343, 273, 13718, 258, 6904, 1297, 1058, 2097, 1985, 538, 519, 3126, 476, 275, 476, 276, 476, 279, 476, 1704, 476, 4510, 2496, 450, 476, 450, 476, 276, 910, 476, 275, 815, 476, 272, 815, 476, 274, 317, 271, 476, 279, 910, 476, 276, 815, 476, 274, 815, 476, 274, 317, 272, 476, 1704, 910, 476, 279, 815, 476, 280, 815, 476, 274, 317, 273, 476, 4510, 268, 1704, 815, 476, 2767, 815, 476, 274, 317, 274, 2473, 910, 476, 4510, 815, 476, 274, 317, 275, 815, 476, 10037, 2473, 815, 476, 10219, 692, 4510, 692, 258, 654, 3558, 1058, 581, 5372, 538, 519, 5311, 476, 273, 476, 275, 476, 279, 476, 1626, 476, 736, 476, 2420, 2496, 450, 476, 450, 4270, 267, 594, 1175, 2119, 621, 281, 476, 273, 7132, 476, 273, 568, 476, 275, 476, 275, 7132, 476, 275, 568, 476, 279, 476, 279, 7132, 476, 279, 568, 476, 1626, 23645, 1341, 273, 2073, 1341, 275, 267, 1341, 279, 3767, 621, 781, 3478, 1447, 1586, 476, 1626, 7132, 476, 275, 568, 476, 736, 476, 736, 7132, 476, 273, 568, 476, 2420, 1656, 519, 1985, 530, 692, 450, 476, 450, 476, 12293, 692, 258, 1548, 568, 519, 654, 3994, 1297, 538, 713, 5311, 476, 273, 268, 275, 268, 279, 268, 1626, 268, 736, 268, 2420, 268, 4510, 268, 5379, 2496, 1626, 1058, 581, 476, 1015, 1317, 519, 4806, 568, 4946, 676, 476, 273, 1287, 14921, 676, 476, 273, 865, 1862, 476, 273, 1862, 476, 273, 266, 273, 284, 275, 1862, 476, 275, 265, 273, 284, 279, 1862, 476, 279, 266, 273, 284, 1015, 1862, 1205, 621, 543, 865, 593, 692, 258, 1548, 1297, 2501, 1985, 476, 272, 268, 273, 268, 275, 268, 279, 268, 1015, 268, 736, 268, 2420, 2496, 4510, 1317, 596, 1039, 1079, 543, 1287, 596, 9062, 676, 1079, 476, 272, 265, 273, 284, 273, 476, 273, 266, 273, 284, 275, 476, 275, 265, 273, 284, 279, 476, 279, 266, 273, 284, 1015, 476, 1015, 265, 273, 284, 736, 476, 736, 266, 273, 284, 2420, 476, 2420, 265, 273, 284, 4510, 1862, 31756, 692, 258, 13201, 891, 2338, 2479, 2097, 856, 593, 519, 13169, 476, 279, 476, 1724, 476, 736, 476, 2420, 476, 3374, 476, 4510, 2496, 11039, 19898, 952, 789, 723, 594, 1589, 621, 781, 1655, 596, 4769, 1405, 917, 827, 621, 269, 4033, 8797, 596, 1131, 581, 25588, 3054, 909, 585, 519, 1964, 540, 707, 1272, 530, 5109, 596, 2322, 519, 2338, 538, 19692, 780, 258, 3657, 972, 1022, 4636, 2338, 538, 713, 3126, 476, 273, 910, 476, 275, 910, 476, 279, 910, 476, 1626, 910, 476, 736, 910, 476, 2420, 910, 476, 4510, 910, 476, 5379, 2496, 6546, 5673, 593, 519, 4214, 540, 519, 1592, 269, 1403, 519, 1592, 729, 9277, 547, 1397, 513, 1305, 540, 2318, 1256, 9981, 538, 26799, 1931, 267, 1287, 621, 781, 7357, 2953, 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 ]

[ 267, 606, 20090, 1058, 7118, 519, 1981, 6954, 2557, 936, 519, 1576, 540, 519, 3923, 269, 634, 1942, 2221, 1590, 581, 3160, 547, 519, 2628, 4752, 31680, 693, 519, 1981, 6954, 2557, 585, 835, 3923, 269, 634, 3830, 547, 4194, 568, 3976, 1384, 29682, 3902, 815, 8096, 2004, 910, 8096, 3393, 1535, 552, 9745, 11196, 14490, 6954, 2557, 1535, 570, 1070, 1141, 552, 568, 519, 6310, 3586, 476, 273, 269, 278, 1240, 274, 692, 10112, 11167, 519, 1981, 6954, 2557, 568, 476, 274, 260, 829, 1032, 267, 543, 570, 11224, 476, 271, 269, 5400, 274, 274, 630, 821, 5258, 676, 476, 1321, 1070, 1287, 519, 3902, 540, 519, 1289, 4781, 2221, 568, 8096, 276, 269, 1556, 780, 18814, 547, 922, 2241, 543, 27952, 2497, 267, 519, 23481, 4781, 14499, 2203, 6799, 1978, 2189, 5383, 269, 1280, 1383, 267, 2094, 621, 2488, 513, 6908, 540, 3024, 725, 585, 513, 12045, 585, 1142, 6843, 538, 513, 12732, 540, 942, 267, 621, 568, 3730, 585, 3024, 532, 16755, 971, 607, 1977, 3681, 269, 898, 568, 849, 1454, 12863, 982, 824, 14499, 3631, 971, 607, 519, 4563, 4149, 3273, 525, 2203, 269, 0, 2005, 568, 4867, 476, 1839, 9484, 476, 1001, 278, 267, 476, 1556, 281, 4649, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 4962, 4924, 476, 1220, 279, 454, 15803, 281, 476, 2412, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 1321, 692, 3519, 1417, 1674, 281, 4937, 5004, 267, 6348, 16118, 454, 294, 5183, 281, 476, 274, 269, 10037, 454, 25446, 281, 6176, 5303, 630, 10890, 5516, 994, 2252, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1428, 281, 6246, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 17098, 692, 1492, 1079, 2055, 476, 14338, 543, 476, 14695, 616, 2186, 540, 24813, 263, 753, 9955, 2965, 2020, 2280, 803, 2322, 2243, 1934, 692, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 304, 14695, 264, 952, 1990, 10339, 333, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 12552, 454, 306, 778, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 1321, 692, 10048, 4526, 454, 16274, 281, 476, 2918, 2904, 476, 1220, 276, 454, 15803, 281, 476, 10711, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1626, 281, 2004, 454, 15884, 529, 3724, 5206, 912, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 560, 476, 272, 264, 642, 342, 910, 642, 317, 273, 815, 476, 271, 454, 341, 26028, 8686, 264, 815, 476, 271, 454, 309, 284, 271, 607, 530, 8686, 3112, 581, 4642, 607, 642, 267, 342, 616, 1114, 9981, 563, 560, 476, 273, 264, 530, 284, 273, 1547, 3502, 6190, 692, 288, 454, 20573, 2632, 946, 519, 1344, 2016, 538, 3948, 476, 272, 538, 3948, 476, 273, 607, 588, 476, 273, 1175, 1767, 530, 284, 273, 543, 4986, 827, 642, 2020, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 10048, 4526, 454, 16274, 281, 476, 2918, 2904, 476, 1220, 276, 454, 15803, 281, 476, 10711, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 271, 267, 476, 1626, 281, 6795, 454, 15884, 529, 3724, 5206, 1384, 304, 14695, 264, 952, 1990, 18898, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 560, 476, 272, 264, 562, 256, 284, 271, 454, 345, 15871, 272, 267, 562, 815, 476, 273, 267, 1990, 18898, 284, 272, 454, 345, 284, 272, 267, 562, 815, 476, 272, 267, 1990, 18898, 284, 272, 454, 8253, 6190, 454, 560, 476, 273, 264, 1990, 285, 271, 454, 8253, 6190, 454, 18474, 1456, 1990, 284, 272, 692, 290, 692, 20132, 19560, 476, 12553, 1496, 271, 3910, 2016, 281, 476, 272, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 2420, 5463, 476, 1220, 280, 454, 15803, 281, 476, 32579, 692, 20132, 19560, 476, 30329, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 3057, 476, 1001, 271, 267, 476, 1321, 281, 5325, 454, 15884, 529, 3724, 5206, 912, 17098, 692, 1492, 1079, 2055, 476, 14338, 543, 476, 14695, 616, 2186, 540, 24813, 263, 753, 9955, 2965, 2020, 2280, 803, 2322, 2243, 1934, 692, 304, 14338, 1040, 1403, 642, 543, 654, 616, 546, 604, 742, 5166, 9981, 267, 1281, 642, 284, 271, 692, 288, 264, 642, 342, 284, 557, 343, 335, 273, 454, 289, 264, 342, 284, 273, 692, 11693, 281, 642, 1948, 530, 630, 2254, 3160, 547, 994, 3674, 642, 815, 476, 271, 888, 288, 281, 642, 342, 815, 642, 317, 273, 454, 341, 26028, 8686, 264, 815, 476, 271, 267, 799, 1797, 2901, 642, 815, 271, 610, 642, 815, 530, 1862, 855, 2094, 621, 781, 2016, 642, 1948, 530, 267, 713, 1611, 642, 815, 476, 271, 269, 9747, 24639, 13697, 692, 289, 281, 530, 815, 476, 273, 454, 341, 1223, 581, 4376, 855, 476, 273, 2807, 8754, 10691, 24639, 13697, 1862, 780, 11997, 589, 780, 15884, 529, 3724, 5206, 912, 304, 14695, 264, 952, 1990, 10339, 333, 284, 272, 1018, 568, 519, 1871, 540, 2098, 563, 288, 264, 562, 568, 513, 1875, 4642, 538, 1122, 518, 454, 289, 264, 2098, 285, 271, 692, 12552, 454, 306, 778, 692, 326, 1508, 1990, 18898, 815, 476, 272, 454, 13196, 281, 1990, 815, 26042, 288, 264, 562, 1948, 476, 271, 4586, 17798, 1990, 18898, 815, 476, 272, 1797, 1990, 666, 581, 910, 272, 610, 1341, 272, 1317, 11196, 272, 8203, 273, 815, 476, 272, 543, 630, 272, 8203, 273, 815, 476, 272, 269, 9747, 3502, 24639, 13697, 692, 289, 264, 1990, 285, 271, 454, 8253, 22206, 1862, 607, 1990, 1223, 581, 4376, 780, 288, 266, 289, 815, 24639, 13697, 607, 1631, 1990, 666, 1152, 581, 476, 272, 952, 562, 1948, 476, 271, 780, 11997, 595, 563, 6303, 318, 692, 10267, 619, 2336, 297, 307, 5541, 2483, 2252, 579, 899, 1250, 2022, 32465, 2628, 3724, 538, 918, 16997, 256, 2439, 347, 2690, 10911, 3277, 25024, 14537, 10911, 6426, 347, 2690, 14662, 3277, 24607, 14662, 6651, 347, 692, 12527, 289, 21392, 22210, 4934, 1862, 20537, 674, 1228, 589, 3118, 12527, 692, 20132, 19560, 476, 30329, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 3725, 281, 744, 294, 476, 1556, 628, 7160, 910, 26712, 910, 476, 14338, 543, 476, 14695, 5231, 1496, 258, 21529, 316, 476, 6734, 3057, 476, 1001, 271, 267, 476, 1321, 281, 5325, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 2419, 476, 1724, 281, 1109, 22025, 1113, 543, 7167, 659, 13330, 538, 8212, 692, 19400, 3381, 4245, 593, 5122, 1761, 543, 31887, 547, 1451, 875, 606, 1843, 666, 4558, 606, 5122, 5279, 269, 3962, 3992, 568, 10483, 676, 513, 2110, 2789, 31547, 7688, 596, 666, 946, 547, 2638, 707, 1620, 540, 891, 3584, 780, 22025, 1113, 543, 7167, 659, 13330, 910, 3848, 12834, 543, 4804, 20505, 692, 1103, 713, 3184, 267, 596, 3513, 1451, 875, 606, 4948, 6221, 267, 899, 513, 6007, 267, 17838, 543, 8637, 5122, 1648, 269, 4635, 2653, 3562, 268, 16187, 23877, 267, 519, 14357, 786, 2491, 519, 1523, 540, 3167, 1761, 267, 610, 875, 2516, 540, 17401, 14095, 9901, 5536, 2170, 609, 1142, 824, 547, 798, 960, 269, 1411, 3513, 849, 1265, 856, 875, 6453, 568, 1031, 547, 2268, 3167, 1761, 543, 875, 1454, 960, 568, 12913, 676, 9901, 5536, 538, 606, 5122, 5547, 780, 7437, 519, 7044, 593, 31887, 267, 596, 666, 1451, 827, 519, 1114, 2010, 540, 5122, 3334, 602, 666, 4558, 606, 5122, 5279, 269, 7937, 332, 781, 4521, 786, 581, 5941, 267, 1519, 519, 2078, 3838, 676, 5122, 1699, 267, 4187, 543, 6453, 269, 1879, 596, 4312, 8737, 609, 519, 3184, 267, 596, 1058, 1174, 1384, 1892, 634, 2078, 1063, 606, 3167, 3196, 543, 606, 3167, 2361, 454, 1892, 1215, 6453, 2959, 666, 2981, 1114, 3029, 540, 1648, 883, 5122, 1648, 454, 1892, 634, 3069, 540, 3167, 1761, 267, 1519, 5279, 10070, 267, 7403, 543, 3604, 454, 1892, 7167, 659, 13330, 543, 29522, 267, 1519, 741, 2694, 543, 875, 789, 4558, 1648, 454, 1892, 7937, 332, 781, 4521, 607, 621, 12211, 547, 5201, 454, 1892, 634, 5122, 1761, 540, 26561, 543, 21384, 692, 21581, 11917, 16633, 454, 25821, 12197, 543, 519, 11873, 540, 932, 1618, 26368, 543, 4019, 519, 6935, 1063, 3167, 3196, 543, 3167, 2361, 563, 14157, 5653, 17796, 281, 6052, 23586, 543, 6201, 28097, 9075, 543, 875, 789, 6460, 3114, 1648, 883, 5122, 1761, 1648, 269, 10576, 519, 11718, 607, 606, 1383, 540, 513, 1455, 6453, 2707, 563, 25821, 15783, 23737, 543, 946, 519, 3069, 540, 3167, 1761, 1648, 547, 4194, 5726, 540, 1648, 2042, 563, 25821, 15783, 281, 932, 1618, 26888, 543, 5292, 339, 5149, 28097, 5279, 10070, 543, 875, 513, 9901, 9325, 814, 519, 1761, 547, 798, 960, 269, 11512, 519, 18699, 607, 513, 1770, 540, 5122, 1761, 563, 25821, 15783, 16338, 27855, 543, 5173, 519, 3167, 1761, 3017, 1063, 1079, 2798, 538, 513, 7833, 3167, 2361, 267, 543, 5815, 799, 1448, 568, 693, 519, 2362, 1761, 563, 22479, 659, 13330, 31711, 31887, 543, 519, 1770, 540, 31887, 267, 543, 2491, 875, 621, 12211, 547, 5279, 543, 6453, 269, 10576, 519, 2188, 602, 3313, 31887, 269, 16534, 6252, 13807, 622, 19218, 2042, 563, 23382, 5209, 540, 7167, 659, 6002, 26368, 519, 9030, 2694, 540, 513, 19218, 269, 9181, 519, 5383, 540, 543, 3604, 1063, 519, 2596, 2010, 540, 6378, 29522, 543, 4756, 29522, 269, 12433, 2698, 31887, 538, 6252, 543, 3126, 31887, 11387, 563, 21328, 853, 1819, 538, 513, 7167, 659, 3218, 27855, 519, 4070, 540, 513, 19218, 543, 875, 5279, 568, 6740, 269, 11512, 519, 19218, 942, 3586, 538, 2078, 547, 9823, 12123, 543, 17579, 532, 543, 875, 519, 19218, 10997, 543, 17579, 525, 950, 8028, 568, 4294, 563, 17764, 332, 781, 4521, 281, 9502, 543, 20556, 9737, 30579, 267, 7351, 543, 18650, 28097, 875, 6453, 267, 1699, 543, 4187, 616, 1644, 267, 607, 8612, 676, 7937, 332, 781, 4521, 563, 763, 15783, 540, 513, 1975, 1877, 2750, 8533, 519, 1648, 1761, 540, 513, 12106, 563, 763, 15783, 540, 513, 595, 2643, 5407, 2750, 8533, 519, 1648, 1761, 540, 513, 12718, 780, 1321, 16497, 538, 3848, 476, 1724, 281, 15783, 543, 7167, 659, 13330, 538, 8212, 454, 14818, 707, 1702, 609, 513, 476, 1789, 6709, 3878, 3184, 2259, 1449, 454 ]

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

[ 6793, 3347, 543, 5849, 1967, 1524, 519, 1899, 2439, 1103, 3932, 267, 7214, 3959, 2924, 1404, 513, 1713, 1909, 538, 8716, 5876, 267, 5647, 267, 543, 3356, 1247, 14785, 2043, 543, 4213, 2059, 519, 1259, 269, 14645, 267, 24977, 267, 543, 1875, 16162, 26918, 11650, 782, 3565, 547, 14637, 9345, 543, 4180, 5491, 4422, 1141, 621, 12851, 269, 11408, 5660, 543, 8661, 5169, 1275, 543, 11441, 547, 1020, 5499, 2093, 19100, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4504, 21526, 3959, 630, 7709, 264, 568, 513, 3407, 10697, 602, 666, 1683, 2043, 543, 4213, 609, 513, 8013, 6316, 269, 1717, 267, 1620, 519, 1950, 5251, 540, 7379, 666, 581, 4101, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 15382, 11286, 1935, 547, 7214, 3959, 2359, 543, 2491, 519, 16166, 2404, 609, 621, 563, 8139, 25827, 16296, 281, 589, 18043, 11137, 454, 8702, 547, 938, 3102, 7650, 540, 7214, 3959, 630, 7709, 1070, 1141, 649, 786, 5490, 883, 519, 2956, 540, 7379, 543, 2263, 519, 1114, 2010, 540, 7379, 2924, 602, 2043, 543, 4213, 666, 3489, 269, 25827, 3959, 568, 513, 4241, 543, 1950, 2361, 602, 4249, 513, 2629, 1909, 538, 5807, 5647, 267, 7863, 5876, 267, 543, 6117, 2804, 2208, 563, 763, 11957, 540, 25827, 16296, 454, 4504, 21526, 3959, 4016, 547, 519, 3656, 4027, 11292, 547, 13144, 540, 519, 2247, 267, 1519, 18563, 267, 6272, 267, 5339, 543, 7499, 1568, 267, 6698, 267, 543, 4408, 1031, 538, 16450, 269, 1452, 13144, 616, 519, 759, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 25827, 16296, 1315, 4937, 1315, 6348, 5937, 529, 26918, 13531, 906, 630, 21254, 2026, 1040, 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, 3848, 476, 1015, 281, 4197, 6314, 8839, 692, 5331, 596, 723, 1932, 1082, 9162, 538, 707, 4055, 267, 865, 1082, 602, 789, 2811, 838, 3739, 856, 540, 519, 11442, 4216, 543, 5196, 519, 6989, 269, 1411, 6430, 621, 781, 942, 547, 2973, 909, 267, 855, 3079, 540, 5402, 8380, 1142, 11442, 1394, 883, 519, 4216, 267, 596, 3274, 29746, 3388, 3330, 267, 15691, 602, 621, 786, 3514, 269, 6884, 267, 1498, 267, 930, 9162, 1205, 2695, 1639, 610, 7745, 1317, 789, 941, 2322, 538, 1416, 8393, 780, 5978, 4703, 616, 899, 602, 11442, 4216, 910, 3006, 1919, 979, 4636, 267, 543, 938, 2281, 1376, 12270, 796, 19055, 2406, 267, 2870, 1945, 649, 1289, 2860, 269, 1677, 4368, 713, 1966, 267, 7189, 946, 2027, 11955, 1572, 834, 17057, 8839, 1701, 3807, 899, 875, 596, 1522, 21199, 519, 11442, 4216, 547, 948, 3514, 782, 519, 9162, 3330, 267, 18068, 7575, 998, 519, 2898, 1560, 547, 1265, 543, 1521, 1022, 2860, 2281, 602, 1522, 581, 15720, 780, 3086, 267, 4952, 952, 596, 1185, 547, 4584, 909, 1169, 2582, 11442, 538, 707, 4055, 676, 3054, 269, 2334, 1131, 1491, 513, 1279, 942, 256, 6684, 267, 18068, 1568, 1655, 950, 621, 814, 948, 269, 10705, 267, 7189, 9192, 1114, 2010, 540, 2447, 334, 11955, 547, 1711, 513, 3532, 2319, 602, 666, 10994, 2860, 1034, 3927, 269, 1358, 1289, 713, 834, 18474, 1588, 18068, 3010, 3719, 7227, 1107, 3085, 1405, 24373, 519, 11442, 4216, 2182, 1981, 8840, 519, 9162, 286, 8786, 267, 19890, 267, 18068, 666, 1860, 824, 3728, 21212, 2281, 538, 938, 1560, 16310, 2860, 2281, 267, 971, 607, 4552, 32235, 610, 2281, 16298, 519, 5023, 543, 8937, 269, 901, 2164, 538, 10151, 2427, 2360, 267, 899, 9561, 4552, 610, 7680, 15353, 269, 1809, 1810, 1405, 5855, 1107, 891, 2635, 2281, 3335, 9156, 2899, 18068, 568, 936, 2439, 3383, 1946, 798, 1004, 3442, 18068, 952, 972, 616, 2427, 2360, 286, 4270, 267, 1589, 827, 1018, 4523, 950, 596, 6368, 9096, 12180, 707, 9162, 269, 2659, 4055, 5654, 1390, 267, 543, 596, 1745, 6126, 6616, 602, 1404, 5503, 786, 1631, 581, 1454, 4443, 269, 6684, 267, 18068, 2337, 2550, 1745, 1732, 538, 519, 1279, 2196, 267, 2901, 676, 14874, 741, 2860, 7357, 610, 4227, 922, 1764, 593, 741, 3232, 2729, 780, 1103, 5758, 267, 18068, 6411, 899, 513, 5363, 1907, 602, 22619, 625, 909, 13311, 2860, 2281, 2429, 519, 1560, 269, 4014, 621, 12212, 5540, 2635, 2281, 2059, 519, 1259, 267, 4929, 5634, 22303, 267, 3314, 602, 891, 2152, 8207, 936, 942, 269, 2060, 9639, 543, 1489, 689, 1920, 267, 2828, 267, 543, 2564, 4648, 267, 18068, 2488, 4126, 585, 6634, 540, 1004, 6849, 2860, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 14563, 609, 6314, 8839, 454, 1432, 568, 6314, 8839, 15017, 290, 1335, 8839, 568, 519, 2126, 540, 2860, 609, 5061, 602, 666, 6861, 2860, 2281, 269, 2859, 982, 835, 3075, 949, 581, 2285, 693, 835, 942, 269, 6314, 8839, 949, 849, 581, 1031, 538, 4999, 609, 6391, 543, 5982, 269, 898, 666, 581, 1031, 522, 10826, 2860, 610, 882, 633, 2589, 269, 6314, 8839, 10301, 782, 2694, 540, 519, 1560, 267, 711, 1175, 519, 2860, 2281, 563, 1692, 1281, 6314, 8839, 4518, 888, 31863, 2281, 1332, 543, 5884, 538, 513, 6417, 1259, 269, 1879, 2860, 2049, 267, 2281, 538, 519, 1560, 602, 616, 711, 3339, 1832, 12270, 543, 8108, 811, 2281, 1510, 1852, 269, 4165, 4618, 1356, 5061, 6861, 2860, 2281, 676, 16069, 873, 689, 3395, 610, 14921, 269, 13245, 2281, 666, 849, 581, 2800, 539, 267, 2523, 1346, 602, 7941, 3533, 269, 15053, 547, 2635, 2281, 568, 1018, 3123, 2427, 2360, 269, 1452, 2281, 2356, 7816, 2933, 1310, 18068, 563, 10303, 930, 5061, 960, 1732, 1927, 982, 4805, 267, 1079, 610, 811, 5061, 616, 1419, 2016, 693, 519, 1482, 942, 269, 901, 568, 1572, 4999, 18068, 563, 1432, 666, 6314, 8839, 798, 15017, 27039, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 26225, 4498, 14536, 543, 4825, 531, 2747, 1369, 519, 12745, 540, 14451, 4065, 4521, 692, 296, 269, 4985, 692, 295, 27941, 2069, 5238, 971, 607, 8109, 6115, 2160, 723, 513, 2189, 1909, 538, 5935, 2486, 676, 5807, 7214, 2208, 543, 5009, 4763, 269, 901, 5692, 2882, 2870, 606, 8537, 1565, 1604, 585, 782, 1053, 267, 1519, 1346, 609, 9124, 269, 1717, 267, 5103, 3646, 547, 3895, 13784, 267, 9659, 18275, 543, 1427, 531, 2747, 2611, 1713, 2152, 538, 1082, 9945, 2066, 519, 2197, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 891, 3584, 267, 3695, 741, 3656, 8847, 267, 6286, 267, 543, 1761, 3435, 269, 1284, 786, 849, 4983, 875, 9945, 666, 3666, 519, 991, 547, 2149, 519, 2924, 540, 2043, 609, 9124, 1996, 519, 3741, 540, 1863, 4633, 543, 4081, 5191, 780, 2862, 269, 20223, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 288, 269, 9502, 540, 26225, 4498, 14536, 692, 11514, 1464, 18275, 4016, 547, 1022, 7938, 4372, 2932, 1759, 593, 513, 1268, 781, 9659, 602, 5932, 513, 20935, 610, 29880, 3872, 1604, 269, 634, 2932, 1590, 581, 4049, 610, 24245, 2614, 547, 15936, 609, 519, 1367, 781, 2702, 547, 7119, 538, 610, 4324, 689, 519, 6280, 781, 3292, 610, 2238, 269, 6201, 540, 9659, 18275, 949, 1331, 11913, 6057, 267, 12932, 9179, 267, 2168, 6937, 267, 610, 23769, 2044, 9859, 693, 513, 1268, 1317, 540, 741, 9659, 780, 289, 269, 9502, 540, 4825, 531, 2747, 692, 305, 13926, 2747, 4386, 950, 2576, 3217, 8801, 2962, 1996, 1776, 1268, 945, 814, 7722, 538, 6870, 2534, 267, 971, 607, 25937, 513, 24255, 827, 9659, 7130, 610, 10283, 538, 606, 7634, 269, 1520, 2091, 3527, 1522, 1331, 26694, 267, 1629, 10056, 267, 20022, 267, 610, 17181, 689, 1978, 6280, 2238, 269, 898, 568, 1898, 547, 4063, 602, 1256, 952, 519, 3312, 24255, 729, 711, 1336, 547, 723, 20519, 267, 1427, 531, 2747, 3788, 796, 32016, 780, 7656, 269, 13751, 17563, 28259, 532, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 288, 269, 31999, 6465, 2373, 692, 17138, 4083, 540, 519, 4892, 609, 24894, 2920, 630, 4696, 288, 264, 10238, 1080, 9659, 7130, 676, 1857, 9988, 899, 9945, 269, 8791, 476, 27843, 540, 519, 29407, 2920, 540, 476, 3192, 274, 11498, 2147, 20038, 547, 23700, 540, 5313, 2883, 6351, 269, 8625, 267, 891, 4031, 2154, 9945, 547, 1683, 3160, 1569, 547, 2069, 543, 2327, 602, 1004, 609, 9124, 616, 711, 16271, 547, 25641, 2853, 267, 1519, 18275, 543, 1427, 531, 2747, 780, 289, 269, 8865, 4521, 3763, 906, 692, 290, 712, 1206, 723, 9846, 4371, 602, 9945, 723, 513, 10279, 547, 4431, 16425, 543, 3927, 547, 31482, 540, 9659, 18275, 269, 23299, 547, 798, 865, 1223, 1267, 538, 15668, 585, 519, 6280, 269, 1280, 1383, 267, 538, 16026, 642, 269, 3933, 19172, 6019, 8274, 540, 4065, 630, 1960, 280, 1070, 519, 10966, 7040, 3964, 602, 3506, 1223, 581, 25964, 585, 2875, 6823, 24713, 550, 18275, 952, 789, 941, 22393, 967, 27075, 547, 1634, 8320, 540, 18275, 269, 2859, 5063, 267, 538, 12722, 642, 269, 27257, 645, 323, 269, 540, 3447, 1421, 519, 18479, 22770, 18065, 5587, 1881, 602, 20982, 967, 29924, 10039, 1152, 950, 519, 1153, 6487, 540, 543, 17358, 519, 18275, 781, 10335, 610, 18094, 780, 4353, 269, 21344, 5131, 16594, 543, 14640, 6953, 541, 14536, 24727, 692, 26536, 885, 3068, 2591, 950, 13326, 519, 12721, 4690, 540, 1863, 4633, 543, 4550, 3620, 541, 14536, 4507, 269, 2201, 835, 1688, 267, 9945, 1590, 6536, 1930, 11407, 543, 7521, 282, 593, 519, 824, 267, 789, 1590, 2061, 20935, 5054, 602, 15641, 324, 519, 3872, 1995, 540, 1053, 609, 9124, 269, 30271, 3622, 5431, 602, 930, 7687, 593, 4633, 949, 581, 2556, 547, 2226, 1931, 543, 2327, 3160, 4316, 269, 11048, 267, 621, 568, 2629, 585, 9945, 547, 4739, 2312, 4507, 602, 5581, 19275, 2932, 1510, 1102, 2590, 532, 2390, 11156, 958, 6870, 7215, 780, 309, 269, 7454, 13756, 585, 18601, 26225, 4498, 14536, 543, 4825, 531, 2747, 692, 2414, 2232, 9659, 18275, 543, 1427, 531, 2747, 267, 9945, 1058, 2936, 1896, 1655, 2853, 267, 1519, 1384, 288, 269, 21278, 29615, 12930, 9751, 692, 293, 659, 8372, 267, 5234, 267, 543, 1053, 1058, 4309, 2834, 2866, 593, 9301, 543, 8989, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 6270, 5721, 902, 1058, 11168, 519, 2956, 540, 4509, 513, 16614, 543, 8537, 13464, 2528, 780, 289, 269, 26787, 13068, 27561, 31469, 692, 10743, 543, 5520, 1058, 917, 875, 547, 1867, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 29550, 1058, 3715, 2789, 18817, 585, 8989, 267, 4180, 22637, 8164, 2009, 780, 290, 269, 18430, 532, 32653, 15766, 725, 692, 5629, 513, 1867, 568, 1500, 267, 9945, 1058, 8495, 519, 3409, 8499, 543, 18836, 6053, 269, 7102, 1121, 539, 658, 3800, 3144, 1058, 2832, 547, 11177, 519, 4903, 7205, 5428, 781, 1569, 547, 519, 6280, 781, 3292, 610, 2238, 543, 15658, 2104, 20825, 780, 291, 269, 18964, 15511, 543, 8682, 7304, 1030, 3005, 692, 7661, 267, 9945, 1058, 5000, 5571, 5188, 1472, 9659, 2924, 543, 9021, 269, 1635, 14237, 513, 13464, 2916, 602, 2418, 10014, 267, 6568, 267, 543, 8994, 2463, 267, 9945, 666, 1732, 2061, 13685, 540, 9659, 18275, 543, 1427, 531, 2747, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 3722, 476, 15094, 268, 13199, 268, 18089, 4985, 563, 292, 6141, 6115, 2160, 568, 606, 4081, 2146, 6131, 547, 3246, 6044, 538, 2362, 2069, 267, 14027, 1702, 998, 14172, 543, 1382, 267, 543, 3246, 1644, 2533, 547, 519, 2146, 563, 2026, 513, 1857, 9872, 540, 2362 ]

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

[ 9950, 338, 295, 6359, 334, 291, 699, 11155, 3890, 23241, 20930, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 7183, 692, 15235, 28432, 23241, 20930, 19677, 269, 571, 714, 815, 7183, 692, 15235, 16596, 7183, 19638, 4848, 453, 258, 8008, 5746, 2177, 273, 9847, 23313, 1714, 12162, 334, 512, 1329, 324, 796, 554, 6359, 334, 454, 4848, 14851, 711, 3799, 29081, 11053, 1329, 324, 288, 3387, 657, 295, 6359, 657, 3890, 17107, 15235, 14851, 12162, 334, 9950, 338, 26244, 714, 3890, 23241, 20930, 19677, 269, 571, 714, 815, 12162, 334, 10947, 305, 580, 628, 3890, 610, 12162, 334, 10947, 29381, 30800, 15235, 453, 19197, 12162, 334, 9950, 338, 295, 6359, 334, 296, 345, 638, 1512, 4777, 3890, 23241, 20930, 14851, 12162, 334, 10947, 29381, 3890, 10778, 20930, 4848, 454, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 16000, 815, 12162, 334, 10947, 29381, 4590, 20930, 15235, 454, 20930, 453, 19197, 12162, 334, 10947, 305, 580, 628, 3890, 23241, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 16000, 815, 12162, 334, 10947, 305, 580, 628, 30800, 15235, 453, 19197, 12162, 334, 9950, 338, 295, 6359, 334, 291, 699, 11155, 3890, 23241, 20930, 14851, 12162, 334, 10947, 29381, 3890, 10778, 20930, 4848, 454, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 12162, 334, 10947, 29381, 4590, 20930, 15235, 454, 20930, 453, 19197, 12162, 334, 10947, 305, 580, 628, 3890, 23241, 4848, 15235, 453, 333, 29081, 4877, 611, 516, 269, 3419, 628, 815, 12162, 334, 10947, 305, 580, 628, 10797, 15235, 16596, 7183, 19638, 4848, 453, 258, 8008, 5746, 2177, 274, 9847, 12162, 334, 512, 1329, 324, 5605, 657, 554, 6359, 657, 454, 4848, 14851, 12162, 334, 11053, 1329, 324, 288, 3387, 657, 295, 6359, 657, 3890, 23241, 454, 15235, 453, 2381, 29381, 815, 1582, 269, 14725, 29381, 3799, 29081, 10947, 305, 580, 628, 15405, 15235, 453, 14513, 815, 1295, 29381, 17085, 1511, 454, 15235, 13537, 6600, 21202, 308, 311, 6579, 296, 2752, 815, 2715, 14513, 348, 8442, 3097, 20930, 454, 15235, 19677, 6155, 601, 301, 29081, 263, 2381, 29381, 17085, 1511, 2020, 15235, 453, 333, 29081, 17085, 1511, 815, 18559, 692, 15235, 16596, 7183, 692, 20930, 692, 453, 28432, 23241, 4848, 13537, 2891, 601, 715, 29081, 3143, 1401, 626, 324, 8442, 8528, 692, 453, 692, 22592, 2196, 29381, 4311, 267, 986, 714, 264, 23241, 453, 14851, 986, 714, 10947, 29381, 3890, 568, 711, 7183, 23241, 4848, 16596, 1582, 269, 14725, 29381, 263, 571, 714, 10947, 29381, 31156, 453, 16596, 986, 714, 454, 4848, 476, 28768, 4848, 476, 4848, 454, 4848, 476, 15235, 454, 28768, 28768, 22592, 6449, 1326, 14403, 9191, 1345, 267, 804, 1511, 264, 10778, 4848, 476, 453, 3097, 4848, 3097, 4848, 2132, 1582, 10947, 263, 743, 1511, 264, 28768, 4848, 476, 453, 3097, 453, 476, 453, 476, 28768, 453, 476, 453, 3097, 453, 476, 453, 3097, 453, 476, 453, 3097, 453, 3097, 453, 3097, 22592, 6449, 3553, 14403, 9191, 1345, 267, 804, 1511, 267, 1871, 264, 10778, 453, 476, 28768, 453, 476, 4848, 454, 453, 476, 28768, 453, 476, 19677, 269, 698, 2958, 541, 263, 743, 1511, 267, 1871, 264, 28768, 4848, 19638, 692, 258, 14673, 5028, 632, 3288, 804, 848, 1547, 4848, 7531, 3698, 538, 867, 523, 263, 541, 2513, 264, 10778, 20930, 454, 14851, 818, 2513, 568, 711, 7183, 10778, 20930, 454, 4848, 453, 514, 867, 523, 263, 541, 2513, 16000, 994, 15235, 454, 4848, 13537, 263, 541, 2513, 17085, 1511, 994, 4848, 453, 514, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 15235, 692, 3698, 840, 867, 523, 263, 541, 2513, 264, 10778, 20930, 454, 453, 14851, 818, 2513, 568, 711, 7183, 10778, 20930, 454, 15235, 13537, 263, 541, 2513, 17085, 1511, 994, 15235, 453, 2181, 867, 523, 263, 541, 2513, 16000, 994, 15235, 453, 2181, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 20930, 454, 20930, 4848, 7531, 3698, 2022, 867, 523, 263, 541, 2513, 264, 10778, 4848, 454, 28768, 14851, 818, 2513, 568, 711, 7183, 10778, 4848, 454, 453, 453, 14006, 867, 523, 263, 541, 2513, 16000, 994, 453, 453, 14006, 867, 523, 263, 541, 2513, 269, 3419, 628, 994, 453, 13537, 263, 541, 2513, 17085, 1511, 264, 4848, 454, 20930, 454, 20930, 4848, 454, 20930, 20930, 4848, 692, 4848, 692, 541, 2513, 815, 10326, 289, 2435, 4590, 541, 2513, 314, 1015, 316, 815, 834, 288, 4840, 541, 2513, 314, 276, 316, 815, 834, 289, 4840, 541, 2513, 314, 1428, 316, 815, 834, 290, 4840, 541, 2513, 314, 274, 316, 815, 834, 291, 4840, 541, 2513, 314, 278, 316, 815, 834, 292, 4840, 541, 2513, 314, 1321, 316, 815, 834, 293, 4840, 541, 2513, 314, 736, 316, 815, 834, 294, 5016, 692, 514, 867, 523, 263, 541, 2513, 269, 571, 714, 9239, 541, 2513, 6155, 601, 301, 29081, 263, 1428, 2020, 2745, 10797, 514, 867, 523, 263, 541, 2513, 269, 571, 714, 264, 3097, 20930, 20930, 20930, 454, 20930, 20930, 454, 18257, 692, 453, 453, 1428, 692, 15235, 453, 279, 454, 15235, 1315, 672, 1422, 8587, 986, 714, 815, 476, 279, 454, 15235, 476, 278, 8587, 476, 280, 672, 476, 714, 336, 815, 476, 277, 454, 4848, 567, 1315, 567, 1422, 476, 1315, 567, 1422, 567, 3541, 815, 476, 278, 454, 4848, 567, 476, 277, 825, 476, 278, 476, 279, 567, 476, 1556, 454, 4848, 1315, 567, 26444, 453, 453, 274, 825, 476, 277, 692, 18257, 692, 2745, 2891, 295, 7637, 631, 1495, 334, 257, 9239 ]

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

[ 5645, 856, 547, 3715, 519, 9477, 7130, 540, 519, 1826, 476, 3445, 272, 16986, 269, 1452, 9863, 602, 519, 16986, 2838, 513, 9668, 540, 476, 736, 3764, 540, 9095, 630, 271, 6440, 3451, 4113, 264, 1063, 1079, 9072, 547, 581, 2111, 547, 3950, 2901, 540, 873, 1510, 795, 7867, 282, 713, 729, 3368, 519, 10567, 1871, 267, 543, 729, 2663, 4389, 547, 476, 1240, 3764, 540, 9095, 269, 634, 16986, 1223, 13974, 4628, 5806, 3729, 1063, 9072, 609, 513, 2039, 9668, 540, 1152, 476, 4037, 18126, 563, 22873, 6053, 519, 7392, 476, 3445, 272, 781, 11601, 1184, 729, 8261, 607, 519, 3077, 9477, 13409, 729, 1454, 7522, 518, 982, 2901, 519, 7392, 476, 4200, 273, 610, 454, 30116, 2234, 1513, 19034, 547, 519, 6019, 4147, 6861, 619, 269, 634, 7323, 850, 20229, 630, 13270, 264, 2798, 547, 513, 3077, 593, 519, 27010, 1473, 1709, 5149, 630, 2316, 308, 994, 5891, 269, 634, 30263, 308, 11346, 17176, 689, 1412, 1056, 2421, 262, 547, 1412, 338, 548, 342, 262, 543, 3096, 1010, 7772, 22496, 547, 2322, 513, 15262, 588, 549, 2041, 5196, 519, 16079, 269, 1879, 519, 16079, 454, 529, 588, 549, 5523, 646, 17176, 547, 1412, 10177, 1188, 262, 543, 5359, 1412, 10177, 9535, 262, 543, 17176, 547, 10081, 13652, 1188, 950, 4712, 269, 4495, 9477, 814, 3323, 519, 7323, 850, 454, 6944, 1503, 20229, 24864, 1010, 1376, 3406, 7735, 543, 519, 3406, 4806, 6238, 269, 634, 570, 306, 12427, 630, 288, 25534, 543, 681, 836, 564, 6033, 264, 7747, 741, 454, 4134, 680, 904, 282, 950, 606, 16079, 568, 2938, 519, 13667, 518, 17176, 547, 1412, 21652, 262, 543, 1287, 3217, 1852, 540, 519, 7392, 476, 3445, 272, 543, 1065, 657, 1431, 621, 865, 621, 568, 3168, 454, 520, 519, 3077, 269, 1879, 519, 3077, 556, 22190, 8986, 519, 681, 836, 564, 6033, 7575, 1010, 2039, 588, 549, 2041, 547, 5447, 609, 519, 16079, 282, 1312, 12427, 2824, 1412, 2246, 334, 2039, 7055, 663, 1412, 2246, 334, 2832, 3299, 3077, 11601, 568, 2347, 563, 1607, 5650, 267, 799, 568, 5693, 1759, 593, 4505, 4550, 25101, 8154, 7784, 1676, 344, 2553, 267, 3576, 827, 476, 736, 547, 476, 1789, 7643, 563, 7712, 1603, 713, 594, 723, 1044, 30409, 676, 513, 5449, 13667, 518, 945, 7150, 602, 609, 2259, 519, 6887, 1223, 3035, 11601, 1369, 454, 763, 7392, 476, 3445, 272, 16986, 814, 1614, 5094, 16986, 10141, 1562, 799, 2154, 547, 581, 15427, 538, 513, 17386, 5311, 543, 693, 11996, 1644, 547, 519, 454, 13318, 656, 10389, 2990, 540, 519, 598, 673, 11571, 269, 634, 5311, 540, 20512, 568, 5219, 547, 607, 519, 834, 2004, 273, 13942, 4806, 8487, 763, 11018, 19215, 781, 8095, 1676, 630, 6518, 568, 5219, 547, 607, 519, 834, 24490, 8095, 1676, 257, 11479, 513, 1167, 267, 519, 18592, 540, 799, 11438, 476, 1839, 8449, 454, 4944, 3166, 7522, 17446, 540, 18665, 2173, 13926, 269, 589, 6378, 11275, 543, 4584, 5346, 16509, 616, 15841, 2282, 519, 13020, 344, 540, 519, 1167, 267, 543, 713, 11460, 568, 454, 516, 31084, 547, 607, 519, 834, 332, 8568, 9594, 4384, 1807, 257, 543, 7472, 476, 1839, 27510, 20512, 829, 4838, 540, 519, 598, 673, 11571, 910, 773, 693, 513, 6378, 17279, 454, 3433, 540, 630, 1839, 343, 6110, 271, 8358, 2568, 815, 14917, 278, 20512, 829, 2034, 269, 2290, 540, 891, 20512, 568, 11231, 547, 2049, 4010, 693, 834, 9008, 4666, 8998, 257, 540, 519, 598, 673, 11571, 267, 543, 454, 529, 1500, 513, 5595, 13942, 865, 602, 621, 666, 581, 4857, 563, 763, 13942, 11718, 3096, 713, 547, 5352, 1079, 20512, 689, 519, 11018, 19215, 609, 513, 9668, 540, 476, 273, 267, 476, 275, 610, 476, 277, 2890, 572, 6948, 4553, 676, 606, 454, 3225, 958, 22274, 6292, 689, 519, 5583, 19215, 267, 519, 2347, 1895, 540, 2185, 20512, 1373, 18980, 1355, 958, 942, 1110, 4327, 693, 513, 4908, 540, 476, 5780, 476, 273, 270, 274, 454, 295, 1068, 345, 609, 513, 5021, 942, 32751, 542, 540, 5788, 4037, 2890, 572, 6948, 269, 901, 568, 834, 335, 592, 572, 2990, 25244, 257, 26922, 547, 5123, 25244, 538, 8723, 454, 23890, 2259, 269, 898, 2164, 538, 519, 834, 13318, 656, 10389, 17279, 2557, 257, 540, 519, 11018, 28621, 4575, 13942, 1895, 8795, 538, 13076, 609, 454, 1492, 2990, 540, 519, 598, 673, 11571, 282, 538, 713, 1259, 1344, 568, 10299, 547, 519, 23828, 799, 267, 538, 1198, 267, 6087, 519, 2990, 540, 519, 598, 673, 454, 2675, 534, 547, 581, 25735, 538, 519, 23828, 20547, 1062, 563, 763, 1530, 553, 29888, 1062, 729, 2838, 547, 581, 1766, 762, 538, 513, 2647, 2039, 540, 20296, 5054, 282, 713, 3769, 11848, 2175, 609, 454, 1492, 1981, 540, 4672, 8108, 593, 519, 2627, 540, 519, 7392, 476, 3445, 272, 16986, 267, 799, 1131, 16094, 1860, 922, 2773, 269, 6034, 3167, 454, 515, 908, 540, 519, 540, 519, 3068, 540, 519, 2234, 877, 729, 2808, 543, 15653, 267, 607, 729, 9940, 3905, 25101, 8022, 282, 519, 8545, 1131, 723, 454, 320, 8445, 630, 1084, 8792, 264, 4452, 540, 476, 1220, 330, 310, 256, 769, 519, 1439, 513, 2484, 811, 19782, 1190, 3070, 729, 5697, 267, 1210, 519, 24353, 3002, 540, 12760, 563, 6624, 3114, 6547, 616, 608, 1278, 6193, 267, 543, 835, 568, 519, 4744, 6295, 540, 20342, 3154, 883, 1216, 269, 634, 3154, 568, 10398, 539, 547, 519, 13020, 344, 454, 1993, 519, 2234, 727, 543, 1287, 998, 2890, 9055, 1063, 519, 1292, 2627, 543, 513, 24338, 1283, 4494, 998, 799, 519, 20342, 1223, 454, 1348, 1176, 829, 3712, 622, 269, 2201, 3346, 609, 519, 4672, 621, 1131, 1376, 547, 23271, 543, 5391, 4733, 3002, 269, 18873, 593, 513, 2203, 538, 606, 476, 6005, 12068, 454, 3333, 15735, 602, 519, 4672, 593, 519, 2234, 727, 3323, 547, 15835, 1310, 476, 1839, 7643, 267, 543, 1369, 2947, 7643, 540, 713, 519, 4672, 1793, 573, 1055, 538, 513, 2582, 454, 2467, 729, 513, 4250, 602, 950, 519, 632, 268, 6005, 4238, 30403, 267, 1216, 1131, 2951, 1394, 883, 519, 9055, 607, 519, 15895, 20342, 454, 323, 1170, 9407, 543, 1522, 2663, 19068, 269, 1677, 2061, 713, 267, 3636, 3819, 2011, 729, 27762, 883, 519, 1062, 585, 513, 1906, 3764, 1310, 632, 268, 6005, 4238, 454, 1729, 2327, 1100, 20342, 729, 2451, 538, 519, 9055, 267, 543, 972, 729, 849, 513, 27687, 5597, 6417, 3167, 8022, 3693, 1472, 454, 1492, 13020, 344, 540, 519, 2234, 727, 563, 10376, 5583, 1895, 5161, 540, 476, 276, 20512, 543, 519, 11018, 1895, 5161, 540, 476, 274, 20512, 282, 789, 1312, 723, 513, 454, 4343, 18725, 306, 8653, 563, 4322, 20512, 616, 942, 1110, 4327, 2687, 547, 519, 4542, 281, 570, 266, 332, 4433, 514, 530, 339, 264, 1141, 570, 568, 519, 1611, 942, 8884, 454, 24992, 20512, 267, 585, 513, 8095, 1676, 3432, 540, 476, 6110, 271, 678, 10975, 543, 476, 2190, 20512, 829, 11571, 4783, 713, 568, 3160, 547, 476, 27698, 18725, 306, 563, 332, 568, 519, 25244, 3178, 543, 568, 476, 274, 260, 540, 519, 1611, 942, 8884, 267, 26759, 476, 1240, 6440, 4037, 18725, 306, 563, 342, 339, 568, 519, 5086, 5828, 998, 676, 519, 8095, 1676, 27506, 1862, 663, 949, 581, 3254, 547, 3160, 476, 7761, 18725, 306, 563, 763, 9477, 13942, 568, 2147, 855, 513, 1106, 540, 4351, 13942, 25244, 568, 1572, 585, 547, 2061, 519, 10546, 454, 6748, 513, 26760, 13942, 1826, 4831, 1889, 5501, 1062, 269, 634, 3178, 540, 713, 568, 3908, 547, 1341, 25773, 476, 1321, 6440, 276, 18725, 306, 827, 454, 1492, 1611, 2990, 540, 519, 9477, 13942, 563, 306, 1545, 281, 5084, 300, 476, 13136, 270, 3422, 267, 1315, 31079, 267, 1315, 28307, 267, 1315, 276, 5392, 267, 1315, 4817, 278, 267, 1315, 31634, 267, 1315, 4572, 276, 267, 1315, 1960, 277, 267, 1315, 18684, 273, 267, 1315, 23056, 276, 267, 1315, 20720, 274, 1299, 20724, 8656, 476, 277, 270, 6942, 6246, 269, 634, 2817, 19964, 267, 918, 1168, 267, 29375, 280, 476, 275, 291, 308, 563, 1607, 2985, 10677, 22804, 23514, 9469, 5130, 476, 1001, 275, 282, 12093, 1510, 1991, 13170, 568, 19275, 563, 17273, 2063, 8242, 281, 476, 2537, 6113, 5130, 476, 1001, 280, 563, 27987, 547, 519, 1530, 553, 29888, 1292, 2985, 563, 27987, 547, 1250, 5851, 2985, 563, 4467, 906, 547, 281, 4757, 11333, 2593 ]

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

[ 9463, 500, 454, 2745, 3799, 13246, 11468, 18737, 273, 8079, 476, 1948, 1496, 1015, 267, 476, 279, 267, 476, 277, 267, 476, 275, 267, 476, 273, 2639, 2745, 3799, 13246, 314, 276, 15311, 268, 273, 8079, 476, 1948, 1496, 277, 267, 476, 275, 267, 476, 273, 2639, 2745, 3799, 13246, 11468, 276, 18737, 273, 8079, 476, 1948, 1496, 1015, 267, 476, 279, 6540, 258, 1820, 8443, 272, 267, 476, 273, 267, 476, 274, 316, 1341, 1412, 11415, 5073, 2745, 8443, 262, 320, 3299, 1412, 321, 11172, 2608, 476, 276, 264, 476, 1948, 18358, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 320, 3299, 1412, 321, 23300, 0, 5814, 4351, 454, 5814, 942, 692, 258, 4351, 476, 25263, 359, 421, 504, 493, 10951, 374, 8147, 15159, 23284, 22047, 23746, 30903, 482, 418, 369, 489, 7511, 419, 367, 375, 14756, 509, 30853, 20992, 417, 509, 374, 419, 350, 478, 692, 2745, 263, 12690, 20179, 28829, 476, 1948, 476, 13213, 498, 18713, 508, 476, 271, 10922, 562, 10922, 476, 272, 476, 7511, 421, 504, 493, 10951, 374, 14395, 508, 12255, 454, 2745, 263, 12690, 10947, 8681, 23605, 263, 276, 4297, 476, 1948, 476, 23284, 421, 499, 379, 10533, 368, 417, 508, 489, 25051, 351, 19764, 493, 13213, 498, 18713, 508, 333, 14748, 421, 504, 493, 10951, 374, 12916, 491, 454, 2745, 263, 12690, 26509, 6134, 263, 272, 267, 476, 273, 4297, 476, 1948, 476, 13213, 498, 18713, 508, 513, 10922, 562, 10922, 536, 476, 7511, 421, 504, 493, 10951, 374, 14395, 508, 12255, 454, 2745, 263, 12690, 20120, 9792, 263, 271, 267, 476, 1015, 267, 476, 273, 4297, 476, 1948, 476, 13213, 498, 18713, 508, 9792, 263, 11034, 267, 17380, 267, 21163, 18809, 7511, 421, 504, 493, 10951, 374, 12255, 454, 2745, 263, 12690, 26716, 4069, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 316, 4297, 476, 1948, 476, 10524, 492, 31365, 28578, 572, 336, 18809, 13213, 498, 18713, 508, 421, 504, 493, 418, 482, 493, 30317, 27381, 510, 454, 2993, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 12690, 11075, 28984, 263, 2993, 994, 2745, 263, 2993, 264, 476, 1948, 13127, 492, 509, 17295, 364, 418, 371, 371, 18263, 365, 31365, 28578, 454, 2745, 263, 12690, 4732, 2217, 263, 2993, 267, 476, 273, 4297, 476, 1948, 476, 10524, 492, 31365, 28578, 18809, 20881, 487, 418, 489, 358, 333, 14748, 421, 504, 493, 10951, 374, 4970, 498, 419, 489, 361, 419, 360, 489, 7511, 30317, 27381, 510, 692, 11845, 272, 815, 630, 1220, 279, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 910, 272, 994, 5503, 272, 815, 942, 6230, 330, 5503, 5560, 622, 272, 994, 11845, 273, 815, 630, 1220, 280, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 910, 272, 267, 910, 272, 267, 910, 272, 994, 5503, 273, 815, 942, 6230, 330, 5503, 5560, 622, 273, 994, 12690, 22710, 815, 4351, 26509, 6134, 263, 5503, 272, 267, 942, 273, 994, 2745, 263, 5503, 269, 553, 551, 830, 263, 5503, 7456, 665, 5306, 830, 263, 12690, 22710, 4297, 2020, 11133, 815, 3403, 2891, 1692, 1082, 18062, 286, 5602, 338, 1938, 815, 3403, 2891, 1692, 1082, 5011, 829, 5884, 286, 5602, 8999, 815, 476, 271, 454, 1721, 1775, 538, 2039, 17301, 16325, 15892, 825, 2040, 6834, 4351, 20120, 9792, 17301, 4433, 1938, 4297, 1341, 476, 272, 454, 2745, 2891, 763, 1267, 568, 2580, 2040, 994, 0, 2745, 3488, 21848, 281, 3299, 476, 5655, 994, 2745, 9230, 272, 267, 476, 273, 267, 476, 274, 4917, 2745, 263, 272, 267, 476, 273, 267, 476, 274, 2020, 4067, 815, 1412, 294, 636, 2421, 7055, 15680, 16615, 815, 1412, 16031, 7055, 26572, 7566, 815, 1412, 15916, 7055, 2745, 14116, 516, 7566, 267, 2892, 16615, 267, 2012, 994, 2745, 14116, 516, 7566, 1341, 22207, 3299, 2892, 16615, 267, 2012, 2020, 258, 5124, 273, 476, 30244, 26175, 491, 17958, 25622, 25263, 504, 21928, 12571, 490, 13601, 27310, 27447, 24731, 454, 2745, 3488, 15916, 10086, 13211, 2745, 3488, 13328, 5073, 0, 258, 290, 5317, 289, 520, 5124, 2259, 2042, 454, 258, 22069, 1903, 676, 10787, 573, 2098, 541, 4472, 12011, 5271, 31822, 572, 15590, 321, 1794, 264, 910, 8940, 269, 345, 30138, 573, 2593, 454, 258, 5903, 268, 272, 692, 258, 5903, 268, 272, 3436, 1101, 9078, 770, 277, 454, 3698, 1101, 9078, 770, 277, 25225, 2187, 825, 2132, 630, 333, 4548, 314, 271, 316, 2652, 476, 277, 264, 610, 630, 333, 4548, 314, 6352, 25225, 264, 910, 476, 272, 316, 2652, 476, 277, 994, 258, 528, 454, 3698, 1101, 9078, 770, 277, 25225, 2187, 825, 2132, 630, 333, 4548, 314, 271, 316, 2652, 476, 277, 610, 15358, 15631, 272, 316, 2652, 476, 277, 2020, 258, 8266, 268, 272, 3436, 1482, 6958, 1009, 9078, 770, 454, 3698, 1482, 6958, 1009, 9078, 770, 25225, 2187, 825, 2132, 16733, 6352, 25225, 264, 13843, 476, 272, 264, 543, 15358, 314, 271, 316, 2652, 15358, 15631, 272, 20285, 258, 8266, 268, 272, 3436, 1118, 318, 7032, 454, 3698, 1118, 318, 7032, 10031, 476, 14039, 815, 1496, 274, 267, 476, 272, 267, 476, 275, 2639, 476, 2132, 14039, 692, 258, 8266, 268, 272, 3436, 1455, 318, 754, 454, 3698, 1455, 318, 754, 5416, 267, 536, 2187, 825, 2132, 513, 314, 271, 316, 2652, 536, 314, 271, 316, 610, 513, 15631, 272, 316, 2652, 536, 15631, 272, 6540, 258, 8266, 268, 272, 3436, 2040, 274, 454, 258, 3240, 5172, 835, 2433, 264, 3097, 3698, 2040, 274, 25225, 2187, 476, 2132, 2040, 25225, 994, 258, 531, 1181, 894, 454, 3698, 2040, 274, 25225, 2187, 825, 2132, 15358, 314, 271, 316, 1341, 15358, 314, 272, 316, 1341, 15358, 314, 273, 2639, 258, 528, 713, 835, 267, 952, 649, 798, 711, 917, 602, 5044, 786, 723, 513, 7003, 724, 339, 540, 476, 274, 25656, 454, 3698, 2040, 274, 25225, 2187, 825, 562, 815, 7003, 25225, 994, 825, 2040, 815, 476, 271, 454, 825, 585, 561, 538, 2039, 263, 271, 267, 562, 2187, 1038, 2040, 6834, 15358, 314, 331, 2639, 825, 2132, 2040, 692, 258, 8266, 268, 272, 3436, 17967, 318, 3847, 274, 454, 3698, 17967, 318, 3847, 274, 25225, 2187, 825, 2132, 15358, 1341, 1496, 333, 4548, 21014, 263, 271, 264, 6540, 258, 8266, 268, 272, 3436, 9258, 274, 454, 3698, 9258, 274, 25225, 2187, 672, 15358, 18622, 2091, 4590, 672, 2132, 15358, 692, 258, 8266, 268, 272, 3436, 3193, 318, 754, 274, 454, 258, 606, 2653, 1259, 454, 3698, 3193, 318, 754, 274, 25225, 2187, 825, 3288, 815, 3193, 25225, 314, 271, 3910, 15358, 15631, 272, 7481, 825, 15358, 815, 1496, 5055, 267, 3288, 267, 3288, 2639, 825, 2132, 15358, 692, 258, 8266, 268, 272, 3436, 2040, 273, 454, 3698, 2040, 273, 25225, 2187, 476, 15358, 815, 15358, 11468, 273, 2639, 476, 2132, 2040, 25225, 994, 258, 531, 1181, 894, 454, 3698, 2040, 273, 25225, 2187, 825, 952, 7003, 25225, 264, 13843, 476, 273, 912, 1038, 2132, 15358, 314, 271, 316, 1341, 15358, 314, 272, 2639, 825, 8640, 7003, 25225, 264, 2652, 476, 272, 912, 1038, 2132, 15358, 314, 271, 2639, 825, 3116, 912, 1038, 2132, 476, 271, 692, 258, 8266, 268, 272, 3436, 1647, 318, 3118, 454, 3698, 1647, 318, 3118, 5416, 267, 536, 2187, 825, 2132, 1496, 320, 314, 272, 3910, 536, 314, 272, 316, 6540, 258, 8266, 268, 272, 3436, 1118, 318, 1742, 454, 3698, 1118, 318, 1742, 25225, 2187, 825, 2132, 1496, 333, 4548, 314, 271, 3910, 15358, 15631, 272, 316, 6540, 258, 8266, 268, 272, 3436, 814, 2537, 454, 3698, 814, 2537, 25225, 2187, 476, 2132, 476, 273, 538, 15358, 610, 476, 274, 538, 15358, 454, 258, 531, 1181, 894, 454, 3698, 814, 2537, 25225, 2187, 825, 2132, 15358, 29644, 263, 273, 264, 3436, 476, 271, 610, 15358, 29644, 263, 274, 264, 3436, 476, 271, 454, 0, 258, 2843, 507, 3522, 10528, 25986, 28476, 29824, 22147, 13077, 9261, 9261, 7846, 267, 17095, 3378, 26580, 13077, 9326, 28314, 12811, 21268, 4138, 31589, 20046, 11714, 27188, 18547, 13194, 31606, 21162, 17153, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 6459, 27671, 28314, 13077, 17221, 20500, 3522, 17153, 912, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 3248, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 11714, 3264, 27569, 3264, 13150, 8563, 12811, 21170, 3264, 24893, 25986, 6459, 3378, 3248, 258, 11012, 6459, 7846, 10948, 3522, 13953, 21162, 13953, 11012, 4138, 9261, 8563, 17201, 780, 5814, 5569, 454, 5228, 4351, 1104, 28219, 842, 267, 7833, 7531, 1598, 339, 815, 703, 9272, 3488, 10938, 519, 1376, 1297, 29125, 754, 815, 703, 9272, 3488, 10938, 519, 10678, 1297, 29125, 8243, 341, 815, 1592, 30415, 269, 30913, 328, 318, 24393, 9239, 2745, 6600, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 281, 2715, 8681, 842, 19304, 339, 267, 1439, 264, 4153, 333, 7055, 8587, 535, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21170, 3264, 11714, 3264, 27569, 3264, 13150, 8563, 12811, 21170, 3264, 24893, 25986, 6459, 3378, 281, 2715, 684, 6134, 19304, 339, 267, 1439, 2567, 269, 273, 325, 4153, 333, 7055, 8587, 535, 262, 396, 350, 6459, 7846, 10948, 3522, 13953, 21162, 13953, 11012, 4138, 9261, 8563, 17201, 281, 2715, 8243, 341, 314, 8681, 842, 19304, 339, 267, 1439, 13580, 348, 10807 ]

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

[ 8017, 538, 5565, 25159, 910, 11644, 5590, 281, 476, 280, 692, 2971, 8382, 692, 8269, 518, 547, 519, 3239, 2630, 585, 519, 3113, 780, 2971, 4518, 5153, 676, 5153, 692, 2414, 3113, 519, 2016, 8635, 267, 1685, 519, 1739, 3268, 281, 630, 272, 264, 8641, 519, 10465, 1899, 1269, 273, 343, 3917, 15871, 275, 259, 1210, 546, 14414, 1899, 2094, 621, 3322, 4399, 25885, 10608, 630, 516, 2536, 547, 519, 3239, 2630, 585, 519, 3113, 264, 630, 273, 264, 2422, 519, 1449, 1448, 18159, 271, 267, 476, 271, 30879, 15240, 3482, 519, 1535, 543, 586, 2418, 540, 713, 1448, 883, 519, 2016, 8635, 547, 3489, 281, 1269, 273, 343, 3917, 1422, 25885, 910, 275, 8607, 273, 263, 271, 264, 910, 476, 271, 1422, 25885, 910, 275, 8607, 271, 1422, 25885, 910, 275, 259, 634, 3948, 568, 3020, 269, 630, 274, 264, 634, 4611, 3948, 538, 1900, 630, 273, 264, 568, 3020, 269, 901, 1797, 602, 519, 3070, 1305, 568, 519, 3148, 602, 3568, 519, 1449, 1448, 18159, 271, 267, 476, 271, 30879, 1677, 2347, 519, 3113, 267, 12094, 519, 3148, 602, 3568, 18159, 271, 267, 476, 271, 30879, 630, 516, 2536, 547, 519, 7923, 3239, 538, 519, 2626, 851, 1657, 585, 519, 3113, 2020, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 258, 1496, 30125, 316, 13804, 3363, 540, 519, 3328, 6991, 6152, 630, 2254, 519, 3328, 3432, 2020, 9771, 6991, 24610, 1740, 7146, 7721, 2075, 2478, 7219, 14670, 923, 692, 14188, 596, 6619, 540, 942, 585, 2921, 547, 1413, 693, 713, 269, 1280, 713, 1739, 1966, 649, 941, 2016, 606, 2626, 2705, 594, 993, 3592, 2318, 519, 2016, 2626, 568, 4636, 269, 898, 3085, 1405, 1256, 1118, 2631, 269, 1924, 1934, 568, 519, 2243, 1384, 763, 30908, 29364, 1688, 540, 513, 9219, 568, 476, 274, 269, 275, 4699, 1279, 269, 1548, 616, 519, 3172, 6421, 540, 1384, 320, 264, 519, 9588, 540, 519, 3328, 6991, 6152, 1496, 2254, 519, 3328, 3432, 256, 316, 540, 519, 1688, 9133, 936, 513, 476, 1321, 2034, 8884, 2496, 20058, 3884, 1405, 519, 9588, 540, 3328, 6991, 815, 519, 3328, 3432, 286, 594, 1810, 1405, 1294, 875, 1346, 1223, 581, 1114, 855, 519, 2243, 4667, 547, 5815, 713, 692, 763, 2626, 2016, 568, 3230, 269, 18357, 4699, 4882, 21974, 901, 4667, 3810, 1561, 321, 762, 2016, 602, 519, 18592, 568, 3230, 2641, 269, 3607, 4699, 2330, 865, 538, 3230, 1321, 338, 2330, 519, 2034, 1688, 9133, 1131, 723, 1152, 21986, 539, 3230, 274, 269, 9834, 4699, 2330, 1472, 519, 18592, 538, 476, 1321, 7643, 6236, 513, 2034, 1688, 29349, 513, 2347, 4838, 1169, 8792, 594, 1810, 1405, 1294, 875, 713, 1223, 581, 1318, 780, 21156, 594, 1131, 2161, 519, 9588, 540, 519, 6991, 6152, 815, 6695, 2765, 18950, 273, 19570, 678, 20972, 339, 15732, 8489, 678, 568, 8953, 543, 512, 568, 942, 547, 2347, 4838, 865, 1384, 2330, 341, 815, 1422, 2765, 346, 273, 19570, 476, 274, 269, 275, 2410, 272, 348, 815, 476, 2641, 269, 3607, 4699, 4882, 9681, 7617, 4667, 513, 2603, 811, 10853, 692, 8512, 536, 264, 2417, 1476, 4926, 803, 607, 789, 1533, 1384, 1492, 3328, 10231, 540, 519, 1688, 9133, 936, 513, 476, 1321, 2034, 8884, 2496, 663, 789, 2285, 606, 2626, 540, 3230, 271, 269, 271, 4097, 280, 4699, 4882, 317, 273, 9681, 2005, 568, 1250, 1174, 602, 3230, 320, 815, 1422, 2765, 28452, 317, 273, 2410, 337, 6525, 865, 1256, 1210, 741, 1378, 1871, 585, 6991, 692, 2330, 320, 815, 1422, 2765, 346, 271, 269, 18357, 317, 273, 2410, 274, 269, 275, 348, 815, 476, 271, 269, 271, 3953, 277, 2330, 799, 568, 513, 1114, 2626, 780, 8649, 594, 7508, 1945, 2496, 12552, 256, 0, 290, 2969, 7726, 7813, 910, 5384, 1299, 4518, 692, 1892, 1627, 274, 264, 476, 273, 2367, 543, 476, 274, 8695, 666, 798, 513, 4062, 540, 960, 538, 476, 1015, 2395, 1247, 476, 274, 2367, 543, 476, 273, 8695, 666, 798, 519, 1482, 960, 538, 476, 279, 2395, 269, 769, 875, 1082, 2395, 666, 476, 273, 2367, 543, 476, 272, 7911, 798, 519, 960, 26042, 1892, 1627, 275, 264, 589, 543, 645, 666, 798, 513, 4062, 540, 960, 538, 476, 7761, 2395, 282, 645, 543, 595, 666, 798, 621, 538, 476, 6344, 2395, 282, 589, 543, 595, 666, 798, 621, 538, 476, 3445, 2395, 269, 769, 1018, 942, 666, 589, 4805, 798, 621, 26042, 1892, 1627, 276, 264, 2473, 3217, 476, 275, 2395, 547, 2347, 835, 21017, 540, 513, 2816, 267, 962, 3217, 476, 274, 2395, 547, 2347, 835, 29350, 628, 540, 519, 1482, 960, 543, 2098, 3217, 476, 276, 2395, 547, 2347, 3368, 519, 2816, 269, 1403, 782, 540, 873, 960, 1927, 585, 476, 274, 2395, 543, 2473, 543, 2098, 16718, 267, 875, 1279, 786, 621, 1491, 585, 962, 547, 2347, 519, 6967, 960, 2944, 2496, 1892, 1627, 277, 264, 5565, 2367, 589, 543, 645, 267, 3323, 513, 2816, 538, 799, 589, 729, 4278, 823, 607, 1434, 607, 645, 543, 4061, 3576, 476, 2568, 2395, 1447, 1287, 645, 547, 9096, 519, 2816, 269, 1215, 1082, 2395, 786, 789, 1491, 547, 9096, 519, 2816, 267, 952, 789, 1376, 2324, 1927, 26042, 1892, 1627, 278, 264, 634, 960, 2944, 676, 513, 812, 267, 513, 2021, 543, 513, 1126, 616, 538, 519, 5223, 476, 274, 2433, 476, 273, 2433, 476, 272, 269, 1403, 3232, 13848, 540, 476, 736, 2367, 267, 476, 1789, 2021, 543, 476, 3607, 1453, 2179, 547, 12652, 476, 4281, 269, 1548, 786, 581, 519, 13848, 540, 476, 1428, 2367, 267, 476, 2641, 2021, 543, 476, 1789, 1453, 585, 476, 1240, 4374, 26042, 1892, 1627, 279, 264, 8422, 2367, 7118, 607, 1454, 607, 476, 275, 2021, 267, 476, 275, 2021, 7118, 607, 1454, 607, 476, 277, 8695, 267, 543, 476, 279, 8695, 7118, 607, 1454, 607, 476, 1015, 6690, 269, 1403, 513, 8004, 7118, 12652, 269, 476, 2004, 513, 1554, 267, 1287, 519, 15980, 540, 513, 812, 1131, 581, 692, 1892, 1627, 280, 264, 476, 736, 2367, 666, 798, 513, 2816, 538, 476, 736, 2395, 269, 2991, 1142, 1554, 267, 513, 2021, 568, 8719, 676, 513, 812, 543, 513, 812, 568, 7466, 607, 3608, 607, 513, 2021, 269, 2201, 799, 1554, 1281, 519, 2816, 1205, 6192, 26042, 1892, 1627, 1015, 264, 589, 666, 798, 513, 2816, 538, 476, 1015, 2395, 269, 9603, 547, 16609, 2078, 609, 645, 267, 1010, 4398, 6971, 547, 476, 2568, 260, 543, 1312, 666, 9096, 519, 1482, 2816, 538, 476, 1015, 2395, 269, 769, 875, 1082, 2395, 666, 645, 4805, 798, 519, 2816, 15017, 314, 11693, 602, 645, 779, 4398, 3788, 519, 1482, 1247, 2324, 4805, 6540, 1892, 1627, 1556, 264, 589, 666, 798, 513, 4062, 540, 960, 538, 476, 1691, 2395, 799, 645, 666, 798, 538, 476, 2641, 2395, 269, 1358, 2253, 1927, 855, 476, 274, 2395, 1354, 519, 12032, 540, 519, 960, 267, 589, 3762, 1055, 269, 634, 2698, 1297, 540, 2395, 547, 2347, 519, 960, 568, 692, 1892, 1627, 1321, 264, 476, 1321, 1453, 1491, 476, 1626, 2395, 547, 2347, 513, 960, 799, 666, 581, 6192, 676, 476, 279, 4079, 538, 476, 1321, 2395, 269, 476, 1626, 4079, 3323, 2324, 543, 1310, 476, 274, 2395, 476, 1015, 4079, 2451, 543, 476, 275, 1453, 8678, 873, 269, 1215, 1082, 2395, 786, 621, 1491, 873, 547, 2347, 519, 6967, 960, 26042, 1892, 1627, 1724, 264, 589, 1216, 7382, 814, 1614, 512, 2355, 589, 267, 645, 543, 595, 269, 589, 25361, 476, 275, 11369, 1115, 538, 476, 2190, 1295, 267, 645, 25361, 476, 279, 11369, 1115, 538, 476, 272, 554, 543, 595, 25361, 476, 273, 11369, 1115, 538, 476, 736, 1295, 269, 1403, 782, 519, 512, 2355, 616, 8118, 1927, 267, 513, 2407, 7382, 568, 7962, 1221, 538, 476, 273, 554, 269, 1403, 513, 19943, 3568, 476, 276, 299, 1216, 269, 1548, 568, 519, 4390, 540, 519, 7382, 26042, 1892, 1627, 1691, 264, 589, 7148, 666, 6445, 513, 7382, 538, 476, 1839, 1295, 543, 1776, 666, 8900, 621, 538, 476, 2004, 1295, 269, 4855, 2436, 519, 7382, 786, 581, 4904, 909, 610, 7962, 1221, 543, 538, 875, 1082, 3764, 26042, 1892, 1627, 1428, 264, 589, 10612, 666, 6445, 513, 7382, 538, 476, 277, 554, 269, 9603, 547, 13451, 538, 519, 5377, 621, 568, 4904, 538, 476, 279, 554, 269, 1403, 519, 7382, 568, 2407, 267, 875, 1454, 942, 786, 519, 13451, 1491, 547, 8900, 621, 26042, 1892, 1627, 1626, 264, 5565, 12992, 589, 543, 645, 666, 6445, 513, 28250, 1181, 538, 476, 2190, 1295, 543, 476, 1789, 1295, 6606, 269, 1703, 568, 849, 606, 17752, 595, 269, 1403, 782, 519, 1614, 12992, 616, 8118, 1927, 267, 519, 7382, 568, 2407, 538, 476, 736, 1295, 269, 1215, 1454, 942, 786, 581, 3144, 676, 595, 547, 8900, 519, 2407, 7382, 26042, 1892, 1627, 1704, 264, 589, 28250, 1181, 666, 581, 4904, 676, 1079, 12992, 538, 476, 1789, 543, 476, 2412, 1295, 6606, 269, 5637, 519, 12992, 941, 8118, 693, 2899, 267, 950, 519, 1101, 10612, 1590, 581, 5828, 540, 865, 602, 949, 581, 1175, 4904, 538, 476, 1240, 1295, 780, 1892, 1627, 1240, 264, 2290, 11423, 10612, 2048, 288, 685, 568, 476, 277, 2053, 5488, 982, 2034, 11423, 10612, 645, 269, 1403, 645, 666, 6445, 513, 28250, 1181, 538, 476, 2764, 1295, 267, 1287, 1265, 519, 942, 950, 519, 28250, 1181, 786, 581, 2407, 952, 1312, 519, 12992, 616, 8118, 1927, 692, 1892, 1627, 866, 264, 5565, 12992, 666, 6445, 513, 28250, 1181, 538, 476, 1789, 543, 476, 1428, 554, 6606, 269, 634, 12992, 616, 8118, 8195, 543, 621, 568, 1336, 602, 1813, 547, 24694, 538, 519, 5377, 267, 476, 276, 554, 3063, 616, 3144, 585, 519, 28250, 1181, 547, 581, 4904, 909, 269, 1403, 519, 28250, 1181, 568, 2407, 267, 538, 1018, 942, 1131, 519, 13451, 8900, 621, 26042, 1892, 1627, 736, 264, 5565, 12992, 589, 543, 645, 666, 6445, 513, 28250, 1181, 538, 476, 1321, 1295, 543, 476, 1626, 1295, 6606, 269, 5637, 519, 12992, 616, 8118, 1927, 585, 513, 1978, 942, 855, 1813, 547, 930, 25518, 519, 2095, 540, 1216, 729, 11658, 547, 476, 278, 270, 279, 540, 2407, 2095, 538, 10612, 589, 543, 476, 276, 270, 277, 540, 2407, 538, 10612, 645, 269, 901, 25518, 568, 6569, 1310, 930, 942, 543, 519, 7382, 568, 1631, 4904, 538, 476, 274, 1295, 689, 602, 4090, 269, 1215, 1279, 729, 621, 1354, 519, 2407, 2095, 3459, 26042, 1892, 1627, 2641, 264, 1488, 341, 785, 543, 4210, 541, 2522, 328, 616, 2319, 29982, 543, 789, 666, 798, 513, 1788, 538, 1978, 1297, 540, 2395, 28560, 1488, 341, 785, 568, 593, 9702, 585, 1535, 2395, 267, 6533, 789, 1491, 586, 811, 2395, 547, 2347, 519, 960, 1247, 952, 4210, 541, 2522, 328, 568, 593, 9702, 585, 1535, 2395, 267, 6533, 789, 1491, 1990, 811, 2395, 547, 2347, 519, 1482, 1788, 269, 3973, 454, 5416, 264, 586, 267, 1535, 270, 273, 267, 345, 616, 538, 6673, 454, 6357, 264, 586, 267, 1535, 270, 273, 267, 345, 616, 538, 13382, 454, 6262, 264, 476, 272, 24474, 284, 272, 30819, 266, 272, 270, 345, 454, 5560, 264, 2052, 2254, 581, 5462, 454, 16216, 264, 7183, 540, 519, 2062, 4707, 692, 1892, 1627, 2420, 264, 6129, 527, 267, 6635, 684, 543, 623, 24170, 941, 538, 519, 1482, 1788, 585, 476, 1789, 2395, 269, 769, 519, 1576, 540, 960, 782, 540, 873, 7283, 15534, 585, 1906, 2395, 10422, 24170, 7283, 476, 1015, 2395, 811, 15534, 982, 1488, 684, 7283, 543, 6129, 527, 1705, 835, 21017, 540, 519, 2698, 960, 32289, 1082, 811, 2395, 1705, 623, 24170, 7283, 15534, 982, 6129, 527, 888, 5416, 264, 476, 275, 454, 6357, 264, 476, 276, 454, 6262, 264, 476, 277, 454, 5560, 264, 2052, 2254, 581, 5462, 454, 16216, 264, 7183, 540, 519, 2062, 4707, 692, 6078, 692, 2568, 692, 6812, 692, 7871, 692, 4097, 692, 6858, 692, 3953, 692, 5038, 0, 2162, 476, 280, 13434, 2720, 542, 543, 7261, 3380, 281, 30332, 543, 4578, 692, 13434, 2720, 542, 568, 519, 957, 540, 1582, 3146, 12401, 269, 1879, 649, 3717, 540, 16571, 542, 538, 5752, 4654, 267, 649, 949, 723, 835, 540, 630, 520, 2547, 264, 1079, 10096, 538, 2247, 281, 16571, 542, 538, 1239, 267, 543, 16571, 542, 538, 1852, 630, 328, 4318, 1421, 540, 1982, 2623, 20196, 568, 547, 2161 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2691, 7713, 519, 2489, 2495, 2687, 547, 519, 521, 583, 6652, 543, 519, 1455, 10752, 267, 834, 342, 529, 3256, 257, 1797, 1702, 630, 335, 571, 329, 3534, 264, 799, 568, 2215, 867, 6053, 1863, 689, 1219, 850, 618, 267, 519, 2596, 1533, 540, 7962, 1465, 269, 634, 2262, 834, 612, 775, 257, 610, 554, 5090, 11535, 1797, 834, 2169, 847, 257, 610, 834, 338, 1575, 3153, 2437, 543, 568, 4061, 8296, 267, 519, 18678, 2619, 799, 568, 16525, 1043, 585, 6104, 5109, 14609, 327, 1695, 797, 269, 634, 12866, 25569, 23897, 663, 23075, 3081, 912, 5804, 519, 6999, 268, 995, 325, 3739, 3529, 540, 7962, 1465, 454, 7343, 792, 519, 5613, 540, 1875, 935, 24632, 8296, 563, 1607, 568, 519, 3597, 540, 782, 519, 32570, 539, 3283, 563, 5804, 713, 789, 10836, 267, 972, 568, 1100, 8969, 563, 1862, 320, 3948, 540, 7778, 676, 670, 13034, 269, 667, 559, 2998, 918, 1506, 550, 572, 681, 514, 335, 28970, 912, 257, 5804, 7962, 1465, 1439, 15735, 609, 519, 18678, 540, 782, 3344, 267, 6719, 538, 519, 1106, 540, 519, 6999, 268, 995, 325, 3739, 3529, 799, 13315, 782, 26441, 267, 2408, 519, 5613, 540, 519, 1079, 19507, 10304, 630, 1492, 10304, 540, 1582, 543, 1866, 1070, 519, 1875, 935, 24632, 8296, 267, 799, 568, 711, 513, 562, 8811, 559, 2065, 20704, 269, 901, 568, 519, 3597, 799, 568, 519, 2707, 540, 519, 737, 28569, 543, 5923, 20819, 540, 782, 519, 9985, 32570, 539, 3283, 269, 3245, 713, 9322, 540, 1797, 543, 1702, 267, 7962, 1465, 543, 8296, 267, 891, 10836, 267, 972, 568, 1100, 8969, 1701, 808, 10498, 312, 5723, 454, 263, 5228, 519, 1433, 8752, 540, 27067, 267, 2019, 269, 476, 272, 267, 30127, 269, 476, 2764, 267, 1696, 620, 1040, 1496, 23802, 2639, 11997, 1644, 547, 1018, 781, 2016, 1657, 689, 519, 2489, 2495, 2687, 547, 519, 521, 583, 6652, 543, 519, 1455, 10752, 1862, 310, 529, 3256, 3647, 775, 1797, 519, 834, 338, 1575, 3153, 2619, 540, 7962, 1465, 1439, 15735, 609, 513, 4295, 540, 8296, 1701, 0, 21938, 476, 1704, 267, 476, 1708, 273, 910, 476, 280, 1295, 1224, 454, 20376, 584, 527, 1436, 568, 519, 1184, 676, 799, 2883, 7405, 616, 18705, 585, 2192, 18612, 7221, 799, 666, 581, 4421, 593, 6281, 6990, 543, 5732, 6556, 1719, 585, 5411, 269, 18200, 16372, 1532, 17977, 19736, 630, 300, 7034, 1070, 585, 1383, 267, 616, 4122, 21775, 19736, 267, 543, 616, 20483, 676, 1804, 543, 1419, 2192, 18612, 1753, 12029, 269, 2986, 1576, 267, 519, 19736, 616, 3358, 585, 1585, 1981, 7109, 1734, 1759, 593, 519, 5491, 10290, 1465, 540, 519, 10210, 619, 543, 519, 942, 20030, 540, 9520, 563, 5475, 519, 561, 2658, 24865, 519, 6180, 326, 1137, 267, 519, 12029, 616, 15985, 1194, 883, 20115, 799, 616, 4371, 607, 32097, 585, 519, 12029, 269, 1452, 20251, 4967, 616, 9247, 14767, 540, 10865, 20251, 11033, 689, 519, 10210, 619, 269, 1677, 3262, 519, 11218, 344, 4220, 2404, 609, 6180, 326, 1137, 267, 899, 10210, 518, 9949, 338, 267, 10211, 896, 32392, 6133, 631, 7034, 2472, 547, 9520, 2443, 945, 1287, 2445, 851, 540, 519, 10210, 518, 779, 20251, 11033, 952, 519, 12029, 616, 1065, 4660, 267, 543, 2671, 538, 519, 9271, 952, 519, 10210, 518, 9949, 338, 563, 307, 7505, 1436, 267, 538, 5680, 274, 267, 4016, 547, 9247, 519, 1482, 1184, 267, 4849, 519, 19736, 616, 20511, 539, 593, 3625, 577, 1622, 607, 32454, 543, 6592, 593, 3059, 3366, 7970, 607, 2357, 16666, 21888, 7221, 269, 32454, 267, 1287, 267, 1223, 24903, 581, 811, 5277, 982, 2757, 19736, 1510, 8051, 585, 519, 1699, 2344, 1698, 540, 19116, 607, 513, 2898, 269, 2334, 568, 267, 32454, 666, 581, 21775, 476, 2190, 270, 278, 11451, 267, 543, 666, 581, 17956, 607, 1799, 17014, 7221, 609, 9893, 2029, 269, 5015, 267, 18351, 1242, 7221, 666, 723, 29005, 5100, 11731, 1369, 873, 267, 971, 607, 27993, 2628, 8083, 538, 519, 2013, 540, 513, 2757, 3354, 563, 2704, 2819, 267, 17542, 540, 9489, 538, 19736, 543, 21113, 723, 2907, 1044, 18351, 1242, 267, 609, 519, 2344, 1698, 585, 18351, 1242, 535, 9332, 19728, 630, 560, 762, 23915, 264, 2907, 538, 519, 9937, 540, 17542, 269, 16828, 267, 1022, 10697, 1223, 581, 18351, 1242, 543, 21775, 593, 21888, 986, 2812, 2899, 1978, 6639, 267, 3656, 267, 543, 1514, 29676, 616, 1558, 563, 8170, 1576, 267, 972, 616, 23665, 547, 581, 7753, 899, 9431, 5587, 5874, 267, 5680, 274, 10073, 267, 9893, 25382, 267, 543, 2152, 540, 954, 6016, 1464, 607, 1134, 269, 769, 1840, 267, 621, 3884, 1406, 2312, 875, 519, 4567, 28943, 5238, 786, 2746, 547, 15139, 1436, 3646, 950, 519, 3105, 1062, 814, 2847, 9407, 1472, 21438, 267, 14931, 10827, 2456, 269, 901, 6663, 547, 17412, 875, 5680, 274, 18351, 1436, 786, 7519, 2757, 19736, 6990, 676, 16107, 1614, 5680, 274, 4066, 281, 9893, 267, 32454, 267, 543, 522, 571, 3380, 563, 288, 8037, 1383, 540, 513, 18351, 1242, 2168, 10697, 568, 1306, 5155, 3213, 514, 267, 513, 3059, 3354, 8204, 27847, 9562, 540, 853, 269, 3204, 529, 1306, 5155, 1763, 677, 538, 12548, 269, 1635, 18351, 1944, 519, 1306, 5155, 11555, 3951, 267, 9520, 685, 3046, 585, 7127, 568, 22485, 2094, 15597, 7396, 11555, 3951, 338, 616, 811, 14427, 547, 1305, 909, 543, 3976, 2154, 3677, 5934, 9541, 689, 9520, 269, 1306, 971, 267, 789, 4043, 547, 581, 4371, 3476, 267, 543, 2611, 5266, 2192, 18612, 3379, 609, 519, 18351, 1242, 1306, 5155, 3213, 1231, 563, 307, 7505, 1242, 1483, 10040, 593, 513, 9893, 6971, 11889, 11508, 3823, 9467, 543, 20964, 519, 10697, 593, 513, 476, 2190, 270, 278, 19458, 540, 2518, 18046, 269, 4475, 267, 9467, 519, 10697, 666, 581, 2944, 5488, 543, 609, 4389, 12375, 563, 7712, 21797, 616, 16883, 543, 666, 581, 11751, 543, 4421, 513, 8536, 2053, 513, 1554, 267, 9520, 666, 6718, 513, 1507, 2179, 540, 519, 18351, 1242, 10697, 267, 3850, 585, 3838, 9562, 540, 7221, 799, 949, 723, 5892, 2838, 513, 16854, 2179, 540, 3854, 5092, 269, 2334, 3854, 1131, 849, 723, 1044, 3810, 2192, 18612, 267, 6466, 519, 18351, 1242, 1106, 568, 3810, 5277, 563, 4407, 713, 1223, 1860, 1483, 10040, 6990, 538, 2474, 540, 2110, 3856, 3902, 25359, 267, 27847, 9562, 540, 18351, 1242, 1483, 10040, 1131, 3715, 811, 12581, 3255, 585, 7820, 5481, 547, 1491, 741, 1101, 1900, 883, 26539, 1483, 10040, 1510, 1373, 11720, 539, 856, 676, 5458, 1524, 11033, 563, 2304, 1383, 540, 18351, 1242, 17195, 1483, 10040, 568, 1306, 5155, 3213, 514, 267, 799, 17188, 27993, 547, 18351, 25963, 267, 3246, 873, 609, 513, 6871, 540, 519, 12809, 4747, 12236, 689, 519, 2168, 1483, 10040, 269, 1403, 811, 21797, 899, 1306, 5155, 3213, 514, 1831, 28125, 267, 621, 786, 1377, 519, 4730, 2361, 585, 10685, 9520, 543, 2333, 2804, 3255, 585, 6634, 540, 1004, 1472, 519, 1158, 4867, 1510, 519, 1797, 547, 1378, 1483, 10040, 563, 4322, 4130, 9520, 786, 1631, 723, 1569, 547, 12809, 4747, 3255, 1510, 6849, 31837, 25236, 762, 9465, 538, 1818, 741, 3355, 9541, 269, 6270, 12417, 11338, 3262, 11218, 344, 4220, 267, 799, 7512, 2635, 5092, 8456, 543, 14305, 2994, 563, 13010, 267, 3860, 1568, 899, 2575, 267, 11247, 267, 4670, 267, 610, 3381, 3756, 666, 849, 581, 18351, 1242, 607, 32454, 269, 901, 949, 2408, 24735, 267, 855, 2870, 513, 1875, 1922, 2426, 1043, 267, 2189, 4528, 540, 1945, 543, 8497, 922, 22464, 543, 1799, 583, 1464, 538, 519, 3059, 1158, 3842, 9893, 3366, 7970, 568, 14262, 269, 3689, 540, 782, 267, 713, 11151, 25718, 543, 4687, 540, 1239, 21168, 267, 799, 9247, 2848, 1023, 689, 519, 3312, 17082, 676, 9319, 1121, 684, 3130, 585, 519, 17082, 2047, 610, 998, 28370, 14565, 563, 301, 10499, 338, 666, 849, 581, 2883, 1242, 281, 3312, 15888, 666, 581, 6976, 711, 1152, 585, 519, 3312, 9042, 540, 519, 10697, 267, 855, 849, 10424, 2906, 585, 6281, 6455, 538, 519, 2104, 267, 2495, 15888, 786, 581, 2111, 547, 811, 3927, 1395, 564, 1125, 741, 5876, 2228, 269, 5695, 940, 32454, 883, 1719, 24481, 2883, 7405, 786, 4061, 3715, 7347, 267, 3972, 1652, 267, 543, 8465, 2883, 12417, 1063, 1543, 15888, 267, 6800, 267, 543, 9520, 7567, 563, 302, 571, 3380, 616, 1898, 547, 30321, 543, 19472, 5007, 1239, 585, 18351, 1242, 7221, 269, 1358, 957, 607, 2792, 9055, 1063, 3625, 577, 1622, 543, 1055, 7302, 664, 1239, 2959, 269, 4595, 18351, 1242, 7221, 786, 1419, 2154, 1702, 540, 1483, 8996, 2175, 267, 899, 1306, 5155, 1763, 677, 779, 5003, 3599, 3928, 267, 1287, 522, 571, 3380, 786, 1404, 513, 2565, 1909, 538, 9477, 519, 9562, 540, 18351, 1242, 7221, 543, 519, 2783, 540, 741, 2168, 13413, 563, 1103, 1840, 267, 1022, 3860, 2093, 799, 666, 581, 6829, 607, 3059, 1543, 666, 581, 6719, 607, 606, 23088, 269, 23560, 865, 2488, 606, 1799, 17014, 267, 12001, 4626, 652, 2086, 543, 10677, 3409, 2390, 519, 18351, 593, 513, 1857, 9893, 269, 2859, 11932, 267, 18351, 1242, 7221, 949, 1266, 2658, 1007, 1395, 564, 1436, 7207, 585, 5159, 543, 1702, 4600, 7567, 998, 11251, 5100, 11731, 563, 5719, 25218, 1242, 522, 571, 3380, 666, 1683, 5150, 2773, 12642, 543, 1543, 1569, 8060, 865, 519, 3312, 17082, 949, 3635, 16285, 936, 741, 1543, 543, 1569, 547, 621, 269, 744, 571, 3380, 3976, 948, 3312, 1543, 15888, 12260, 24353, 1871, 540, 741, 7607, 1210, 8810, 8907, 3631, 971, 607, 1942, 829, 12705, 630, 290, 6573, 1070, 1942, 829, 4945, 630, 9573, 290, 1070, 1942, 829, 1291, 6383, 267, 942, 593, 3135, 267, 31941, 687, 267, 543, 811, 563, 1607, 2306, 522, 571, 3380, 1271, 547, 519, 1697, 10342, 540, 18351, 1242, 7221, 269, 1403, 606, 522, 20432, 779, 9136, 723, 1044, 19847, 267, 519, 3059, 10697, 1522, 1821, 5573, 689, 5544, 5777, 610, 3111, 547, 18113, 15814, 27993, 547, 18351, 6868, 269, 18833, 713, 267, 649, 666, 9959, 602, 522, 571, 3380, 616, 1761, 2582, 2798, 540, 5821, 952, 789, 616, 711, 5265, 17956, 543, 18228, 269, 10318, 514, 2065, 5100, 11731, 616, 26464, 543, 713, 3340, 29814, 1239, 267, 607, 4195, 689, 519, 31316, 564, 607, 2009, 563, 302, 571, 3380, 849, 948, 18351, 1242, 7221, 899, 32454, 1831, 811, 11327, 998, 2883, 1436, 269, 769, 1249, 267, 519, 5354, 540, 2168, 1158, 7221, 949, 5555, 581, 11720, 539, 609, 519, 948, 540, 522, 571, 3380, 269, 1635, 7311, 2773, 13652, 9535, 14573, 543, 14499, 1239, 547, 18351, 1242, 7221, 998, 522, 571, 3380, 543, 5196, 3625, 577, 1622, 267, 10002, 8793, 7221, 666, 581, 5828, 883, 8907, 19356, 908, 3059, 3959, 563, 2690, 1383, 267, 6422, 32454, 666, 581, 20511, 539, 676, 15888, 543, 4421, 609, 1799, 17014, 9562, 6592, 593, 513, 9893, 543, 1266, 2658, 22864, 799, 666, 11457, 610, 9178, 936, 942, 269, 11038, 1944, 32454, 786, 849, 1450, 15888, 547, 10210, 1996, 519, 2104, 8907, 1761, 540, 741, 13144, 267, 607, 1134, 607, 519, 2702, 547, 1395, 564, 1125, 998, 10419, 783, 10424, 2906, 3631, 269, 19452, 267, 11655, 540, 15888, 666, 1489, 873, 811, 2047, 1510, 13779, 689, 10766, 26283, 563, 5575, 267, 9893, 2029, 568, 1869, 538, 922, 2038, 2395, 267, 2495, 621, 568, 1869, 10169, 29144, 267, 543, 814, 2943, 547, 3094, 519, 6015, 540, 2757, 8639, 269, 2334, 568, 267, 2038, 21888, 3792, 1562, 616, 3222, 540, 9893, 779, 1761, 547, 7520, 1480, 9316, 543, 2883, 10014, 563, 4913, 267, 972, 616, 1869, 1082, 945, 4250, 6880, 6285, 543, 824, 3186, 8494, 1944, 610, 6397, 21463, 267, 2495, 972, 786, 581, 4187, 547, 10073, 693, 1101, 269, 4495, 1239, 3354, 543, 7834, 2152, 723, 1044, 4401, 539, 856, 543, 10073, 814, 7444, 1212, 696, 20733, 267, 713, 4161, 3587, 5051, 1447, 31837, 25236, 762, 563, 15987, 3625, 577, 1622, 616, 3730, 585, 18351, 1944, 2168, 543, 3059, 7221, 267, 954, 6016, 1464, 10838, 3625, 577, 1622, 543, 9371, 1949, 1590, 581, 5150, 543, 15774, 269, 2667, 1115, 1058, 581, 3362, 4483, 762, 2066, 3625, 577, 1622, 610, 28099, 655, 762, 538, 2168, 1106, 1510, 1373, 7142, 883, 519, 3623, 334, 540, 513, 2582, 9893, 3060, 563, 13010, 267, 18351, 1436, 540, 2757, 7221, 786, 2154, 2312, 543, 7347, 6042, 1354, 621, 4422, 13416, 269, 769, 519, 2475, 267, 585, 3236, 267, 519, 22444, 543, 595, 10499, 290, 3136, 547, 544, 1638, 6042, 585, 19116, 267, 1546, 22380, 9988, 267, 32454, 267, 543, 824, 3059, 7221, 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 ]

[ 12255, 14756, 482, 420, 490, 481, 18713, 368, 19540, 483, 8147, 20992, 31284, 418, 361, 350, 13213, 511, 28786, 417, 479, 504, 16583, 484, 14035, 485, 1477, 1038, 2451, 10000, 8624, 815, 897, 310, 718, 1477, 1038, 1948, 13127, 371, 366, 14756, 493, 420, 369, 364, 13213, 485, 7511, 21928, 31284, 13601, 418, 361, 350, 420, 371, 367, 13213, 485, 1477, 1038, 2451, 10000, 305, 578, 6834, 476, 272, 24653, 1038, 1247, 2451, 10000, 305, 578, 10922, 897, 310, 718, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 305, 578, 6834, 476, 272, 1477, 1038, 2451, 10000, 305, 578, 815, 4737, 310, 718, 1477, 1038, 2451, 10000, 8624, 20699, 476, 272, 5897, 1038, 1247, 2451, 10000, 8624, 13843, 524, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 8624, 20699, 476, 272, 1477, 1038, 2451, 10000, 305, 578, 20699, 476, 272, 1477, 1038, 2451, 10000, 8624, 815, 524, 5897, 1038, 1247, 2451, 10000, 305, 578, 3436, 678, 6769, 2018, 1820, 19906, 314, 3847, 10000, 305, 578, 6012, 3847, 10000, 8624, 3910, 1439, 6889, 834, 3418, 2018, 2451, 10000, 305, 578, 20699, 476, 272, 5897, 1038, 678, 6834, 476, 272, 1477, 1038, 524, 6834, 476, 272, 1477, 1038, 4737, 310, 718, 20699, 476, 272, 1477, 1038, 897, 310, 718, 20699, 476, 272, 24653, 1551, 815, 1496, 1477, 825, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 3910, 1477, 825, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 3910, 1477, 825, 1496, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 3910, 1477, 825, 1496, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 15947, 15947, 2745, 6635, 337, 19906, 3418, 0, 3698, 2638, 263, 9795, 21726, 11971, 267, 330, 8029, 825, 585, 1775, 538, 2039, 263, 271, 267, 280, 8029, 1038, 952, 5119, 20572, 6012, 328, 316, 2652, 1193, 17347, 264, 2433, 1477, 2018, 2132, 8771, 1477, 1038, 952, 5119, 5157, 6012, 344, 316, 2652, 1193, 17347, 8029, 2018, 2132, 8771, 1477, 825, 585, 1775, 538, 2039, 9230, 343, 2260, 274, 12684, 274, 267, 263, 343, 2260, 274, 266, 272, 12684, 274, 8029, 1038, 585, 795, 538, 2039, 9230, 344, 2260, 274, 12684, 274, 267, 263, 344, 2260, 274, 266, 272, 12684, 274, 8029, 2018, 952, 5119, 5157, 6012, 329, 316, 2652, 1193, 17347, 8029, 3546, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 3070, 263, 9795, 21726, 11971, 8029, 825, 952, 1535, 2525, 280, 6769, 1038, 1820, 263, 9795, 3418, 1038, 14827, 14052, 825, 952, 5119, 20572, 6012, 344, 316, 2652, 1412, 271, 262, 6769, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1015, 8029, 2018, 952, 2638, 263, 9795, 21726, 11971, 267, 328, 8029, 3546, 5119, 20572, 6012, 344, 316, 815, 1193, 9217, 3418, 3546, 3070, 263, 9795, 21726, 23444, 344, 266, 272, 264, 2260, 280, 267, 263, 344, 266, 272, 264, 260, 280, 3418, 1038, 5119, 20572, 6012, 344, 316, 815, 1412, 271, 262, 1477, 825, 3116, 6769, 1038, 3070, 263, 9795, 21726, 23444, 344, 266, 272, 264, 2260, 280, 267, 263, 344, 266, 272, 264, 260, 280, 3418, 9795, 815, 1496, 15947, 1721, 1775, 538, 2039, 263, 271, 267, 280, 8029, 825, 538, 335, 815, 1592, 9272, 3890, 3418, 825, 5119, 6910, 263, 514, 335, 10142, 258, 1820, 263, 9795, 3418, 338, 1828, 263, 9795, 267, 271, 267, 271, 3418, 258, 476, 22650, 4968, 1822, 1477, 258, 476, 8517, 1822, 22903, 1477, 258, 476, 271, 3583, 18089, 4335, 1477, 258, 476, 6110, 22650, 4968, 1477, 258, 476, 18089, 271, 3583, 24879, 1477, 258, 476, 19740, 1220, 24699, 1477, 258, 476, 271, 2568, 4335, 27947, 1477, 258, 476, 21916, 1822, 27157, 1477, 258, 476, 1822, 27947, 10384, 1477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12553, 267, 1744, 752, 16210, 18491, 541, 267, 918, 7974, 268, 27844, 27947, 630, 305, 1690, 13776, 1912, 281, 476, 5881, 275, 275, 268, 7742, 4343, 280, 273, 692, 1015, 630, 1015, 524, 476, 272, 994, 321, 692, 267, 1141, 513, 267, 536, 267, 524, 715, 692, 17273, 1948, 476, 4391, 692, 303, 14176, 306, 12903, 454, 275, 780, 1012, 1703, 568, 513, 5347, 6378, 6677, 1511, 2627, 269, 589, 9325, 568, 5950, 689, 533, 269, 4855, 23241, 263, 276, 7436, 2020, 9217, 264, 18027, 607, 1599, 540, 454, 23870, 264, 26395, 607, 513, 1599, 454, 31702, 264, 942, 3144, 689, 623, 547, 454, 263, 643, 264, 519, 5114, 3196, 693, 692, 276, 780, 263, 276, 7436, 2020, 1012, 9717, 281, 17241, 24177, 681, 24177, 681, 309, 692, 27916, 13846, 25883, 305, 815, 1923, 305, 10163, 2008, 9217, 264, 12433, 681, 303, 454, 23870, 264, 12433, 681, 304, 454, 31702, 264, 4855, 519, 1871, 540, 681, 585, 799, 681, 303, 815, 681, 304, 454, 277, 780, 263, 276, 7436, 2020, 1012, 630, 328, 264, 1265, 519, 2990, 540, 519, 3239, 692, 23870, 264, 1265, 519, 2990, 540, 1776, 6677, 1511, 11604, 540, 17122, 3259, 476, 276, 4699, 269, 1141, 621, 1058, 581, 5116, 1318, 2427, 540, 454, 629, 913, 6677, 1511, 7828, 971, 602, 3803, 3239, 14626, 1938, 609, 519, 1843, 563, 31702, 264, 1403, 513, 7077, 11604, 568, 5116, 538, 1747, 540, 6677, 1511, 11604, 693, 519, 1482, 2990, 267, 1287, 1265, 519, 2990, 540, 3803, 454, 13548, 780, 17273, 1948, 476, 4343, 692, 290, 4047, 300, 8780, 23802, 454, 278, 780, 289, 582, 1479, 268, 272, 23241, 289, 582, 1479, 268, 273, 23241, 289, 582, 1479, 268, 274, 23241, 289, 582, 1479, 268, 275, 23241, 263, 276, 7436, 2020, 1012, 10576, 519, 11480, 23241, 263, 296, 994, 10490, 264, 4171, 1543, 1281, 711, 2746, 609, 476, 272, 301, 670, 5141, 610, 476, 272, 301, 10878, 15121, 563, 16360, 264, 4171, 1543, 23465, 609, 476, 272, 301, 10878, 15121, 1152, 563, 18154, 264, 4171, 1543, 23465, 609, 476, 272, 301, 10878, 15121, 543, 476, 272, 301, 670, 5141, 1312, 563, 20573, 264, 4171, 1543, 23465, 609, 476, 272, 301, 670, 5141, 1152, 563, 263, 2862, 994, 763, 11480, 4171, 1543, 568, 3810, 19729, 538, 30341, 1216, 780, 279, 780, 288, 7601, 7626, 729, 5701, 609, 670, 17472, 274, 547, 1106, 19923, 263, 17472, 274, 264, 273, 267, 6904, 593, 2417, 5114, 609, 918, 267, 3029, 19923, 273, 267, 799, 454, 1372, 1260, 5099, 547, 1106, 19923, 2420, 543, 476, 273, 267, 476, 273, 729, 5707, 3603, 609, 10878, 273, 306, 273, 302, 274, 563, 263, 276, 7436, 994, 263, 296, 994, 25911, 766, 519, 6547, 3238, 630, 22772, 856, 2418, 540, 513, 547, 12467, 5416, 994, 320, 19923, 1341, 536, 670, 17472, 274, 524, 19923, 263, 17472, 274, 264, 273, 1341, 546, 12971, 1341, 552, 670, 273, 302, 454, 6357, 994, 325, 19923, 273, 575, 19923, 2420, 1341, 554, 476, 273, 454, 6262, 994, 328, 10878, 273, 306, 273, 302, 274, 1341, 795, 476, 273, 737, 10878, 273, 306, 275, 302, 277, 1341, 10878, 454, 263, 2862, 2020, 280, 780, 1012, 5274, 1373, 2838, 476, 7742, 271, 918, 5632, 540, 1648, 829, 1554, 692, 263, 276, 7436, 994, 290, 1321, 295, 2420, 302, 1556, 1341, 476, 1321, 744, 273, 476, 1321, 2910, 273, 1341, 476, 1556, 670, 273, 302, 454, 295, 815, 476, 276, 269, 277, 476, 11793, 808, 1315, 12387, 454, 9217, 994, 14549, 1373, 2838, 476, 9982, 32465, 737, 297, 540, 1648, 829, 1554, 563, 23870, 994, 8649, 870, 540, 7319, 13427, 2838, 829, 1554, 543, 4320, 540, 2910, 273, 7960, 1282, 519, 1184, 1496, 520, 5254, 303, 6540, 10292, 13256, 454, 1015, 780, 300, 2129, 7236, 267, 513, 17055, 540, 25941, 580, 541, 327, 4682, 547, 1744, 574, 5055, 609, 1200, 3237, 269, 1703, 1352, 1336, 519, 1482, 2030, 602, 454, 16269, 723, 538, 741, 18147, 267, 693, 1753, 267, 1717, 267, 1352, 4767, 602, 1247, 519, 2371, 538, 741, 18147, 16004, 454, 19009, 5810, 267, 1346, 538, 1744, 574, 5055, 1185, 11909, 5810, 269, 2701, 4547, 1753, 930, 5452, 540, 519, 2030, 689, 1744, 574, 5055, 454, 663, 12630, 873, 538, 25941, 580, 541, 327, 269, 16270, 7900, 1582, 22249, 5338, 585, 1896, 5481, 1352, 1336, 602, 519, 454, 8690, 689, 1744, 574, 5055, 3812, 1152, 3043, 5810, 563, 5416, 264, 4340, 547, 596, 1018, 1522, 581, 519, 2601, 585, 713, 8343, 4719, 610, 2825, 2188, 888, 6357, 264, 21909, 513, 2241, 4603, 547, 3313, 2436, 713, 8390, 568, 4719, 538, 2470, 563, 6262, 264, 21909, 1776, 4603, 547, 2638, 2436, 713, 8390, 538, 8768, 2681, 568, 1813, 547, 2825, 454, 2399, 832, 563, 263, 276, 7436, 2020, 1556, 780, 10908, 26651, 692, 13695, 745, 17771, 454, 29403, 692, 1012, 6599, 12935, 1341, 2910, 273, 630, 1103, 519, 9000, 540, 744, 273, 552, 3052, 28629, 324, 770, 25589, 299, 12519, 3679, 630, 1103, 519, 9000, 540, 744, 273, 552, 907, 326, 269, 561, 12519, 3679, 4551, 2020, 1012, 595, 22664, 2207, 18161, 19860, 2433, 476, 12553, 267, 1744, 752, 16210, 18491, 541, 267, 918, 7974, 268, 27844, 27947, 630, 305, 1690, 13776, 1912, 281, 476, 5881, 275, 275, 268, 7742, 4343, 280, 273, 692, 17273, 1948, 476, 4375, 692, 16248, 6901, 630, 288, 267, 645, 267, 595, 264, 723, 1044, 1305, 909, 269, 769, 1142, 4603, 267, 513, 1166, 2532, 3568, 519, 11248, 538, 454, 29115, 5420, 267, 7280, 543, 513, 6960, 20004, 602, 2242, 922, 15437, 547, 5835, 950, 519, 9063, 11081, 269, 634, 454, 17625, 540, 519, 1166, 2532, 568, 7923, 547, 513, 1449, 8546, 5627, 18654, 1216, 630, 9773, 6458, 10281, 6918, 728, 267, 607, 3254, 538, 519, 454, 29664, 1040, 538, 595, 267, 855, 711, 538, 589, 543, 645, 267, 2011, 568, 6569, 689, 519, 1166, 2532, 1354, 4098, 519, 4603, 780, 299, 830, 692, 4248, 692, 1012, 5029, 1143, 538, 9177, 23839, 692, 266, 3794, 26651, 1341, 667, 6614, 454, 5475, 513, 1974, 540, 2208, 267, 519, 1739, 7422, 941, 1500, 10778, 288, 2433, 700, 830, 1216, 7140, 5144, 344, 6902, 519, 20004, 7990, 3788, 519, 1482, 563, 289, 2433, 634, 20004, 7990, 2242, 6902, 18654, 1216, 1281, 711, 2490, 5144, 344, 563, 290, 2433, 700, 830, 1216, 7140, 5144, 344, 6902, 519, 20004, 7990, 3788, 519, 1482, 563, 5416, 264, 7726, 2433, 10576, 799, 540, 519, 6547, 568, 519, 11444, 13269, 1657, 568, 2921, 1747, 538, 1142, 454, 263, 275, 7436, 994, 6357, 264, 7726, 2433, 10576, 799, 540, 519, 6547, 538, 519, 11444, 13269, 1657, 568, 4397, 547, 2049, 538, 4414, 454, 26108, 19204, 630, 305, 6195, 338, 994, 263, 272, 7436, 994, 1321, 780, 288, 10196, 814, 513, 2777, 1175, 22290, 513, 11112, 19814, 269, 1261, 25173, 3762, 689, 930, 2371, 3395, 538, 1010, 454, 326, 31678, 547, 798, 5925, 28003, 6580, 630, 1729, 7447, 519, 2085, 540, 519, 2030, 676, 21501, 519, 2179, 540, 513, 5925, 529, 582, 2100, 454, 1993, 3327, 538, 922, 8031, 1040, 5080, 29418, 519, 5925, 28003, 6580, 2982, 602, 519, 2030, 568, 513, 1906, 8536, 1296, 454, 1245, 994, 5416, 264, 12984, 519, 1267, 540, 519, 5925, 28003, 6580, 4636, 610, 666, 596, 15974, 513, 2601, 585, 971, 606, 8343, 888, 263, 274, 7436, 994, 6357, 264, 1548, 2241, 4603, 666, 581, 2944, 547, 1449, 519, 2601, 602, 596, 723, 6069, 15017, 263, 273, 7436, 2020, 17273, 1948, 476, 2412, 0, 5228, 7793, 5332, 321, 1104, 15441, 1948, 585, 519, 808, 1575, 344, 614, 1433, 3184, 7531, 258, 476, 279, 269, 2677, 21564, 4578, 258, 692, 9616, 692, 1607, 3184, 676, 25595, 631, 269, 717, 675, 1188, 529, 543, 568, 5950, 896, 519, 12689, 585, 713, 1433, 269, 15689, 540, 713, 3184, 616, 9862, 689, 15623, 9197, 2794, 779, 5140, 5775, 342, 1359, 2055, 609, 1239, 1433, 1496, 290, 10064, 866, 316, 799, 849, 14405, 689, 689, 12253, 548, 18937, 541, 549, 779, 5140, 4804, 10803, 609, 681, 1433, 1496, 301, 822, 1556, 4940, 2290, 2101, 1689, 568, 519, 3009, 729, 9862, 547, 946, 9226, 543, 795, 1575, 344, 614, 269, 769, 1840, 519, 4367, 729, 8719, 270, 26211, 2989, 269, 589, 3184, 593, 10855, 7194, 543, 9756, 941, 24673, 780, 2171, 5892, 2808, 2081, 547, 14650, 1239, 1210, 2780, 12449, 269, 10439, 3074, 948, 721, 1294, 3270, 538, 1239, 543, 547, 13182, 938, 1620, 269, 10439, 1436, 849, 3006, 948, 547, 17412, 1239, 538, 513, 811, 11741, 1106, 982, 3168, 693, 519, 6151, 1239, 269, 1717, 267, 538, 930, 2665, 621, 568, 811, 5730, 547, 17412, 938, 1239, 1210, 2338, 799, 649, 1289, 10855, 7194, 780, 5327, 20696, 7194, 616, 4440, 519, 14724, 543, 1034, 3551, 2460, 540, 8579, 1239, 2079, 269, 1284, 616, 1138, 335, 2391, 2921, 513, 4015, 540, 2338, 543, 7384, 513, 1007, 1297, 799, 26564, 519, 1239, 538, 930, 1259, 269, 1703, 616, 1082, 1114, 10855, 7194, 543, 799, 568, 1034, 3617, 5673, 513, 2603, 593, 519, 2470, 540, 519, 1239, 543, 1018, 596, 1616, 547, 5968, 827, 519, 1239, 547, 1866, 269, 15439, 2322, 267, 513, 10855, 18802, 568, 513, 1297, 267, 17223, 593, 513, 4015, 540, 2338, 630, 328, 4318, 1421, 1239, 1070, 602, 19306, 1945, 1271, 827, 519, 1239, 780, 10907, 27854, 4574, 538, 6530, 616, 1396, 339, 1229, 609, 10855, 2493, 527, 923, 1256, 952, 1102, 22460, 7194, 630, 628, 902, 649, 786, 1865, 2663, 264, 1439, 909, 1373, 519, 968, 4148, 1662, 5006, 892, 4681, 269, 1284, 991, 10855, 7194, 547, 2995, 3988, 540, 938, 4574, 610, 5304, 2818, 693, 938, 12909, 9706, 739, 619, 1018, 10416, 4682, 593, 538, 513, 10471, 1510, 6029, 873, 782, 540, 519, 1239, 610, 4758, 1932, 1082, 13602, 270, 6665, 783, 3074, 269, 29149, 7194, 4043, 547, 581, 2656, 267, 2653, 547, 6655, 24096, 269, 769, 1840, 267, 2094, 789, 616, 2356, 2338, 267, 789, 16153, 2653, 6476, 547, 835, 1776, 780, 2467, 616, 6266, 540, 1114, 10855, 7194, 269, 634, 835, 596, 616, 5310, 1034, 5432, 609, 568, 519, 12980, 3328, 610, 1611, 630, 324, 3052, 1421, 950, 596, 12337, 707, 3328, 3446, 585, 519, 1362, 621, 26564, 707, 2773, 538, 519, 1362, 2066, 1082, 1114, 10467, 1040, 1717, 972, 616, 1082, 1866, 649, 786, 1865, 267, 543, 621, 1249, 621, 568, 2009, 547, 12337, 1007, 7194, 3054, 2439, 7197, 540, 519, 8579, 2035, 538, 713, 3184, 1058, 581, 2689, 952, 596, 723, 3144, 606, 2606, 7194, 1576, 538, 6530, 269, 1548, 596, 786, 1451, 676, 2542, 5402, 568, 875, 547, 3362, 12337, 10855, 7194, 585, 1114, 14449, 1210, 5124, 543, 17455, 553, 267, 513, 2689, 540, 519, 26350, 543, 2495, 540, 1585, 7194, 267, 543, 875, 547, 1867, 873, 538, 4574, 543, 12909, 780, 1012, 476, 279, 269, 272, 269, 7151, 13096, 553, 564, 258, 692, 2171, 2253, 676, 15205, 606, 1383, 10471, 883, 513, 17455, 553, 1239, 18134, 602, 649, 786, 946, 607, 606, 1383, 2429, 713, 3184, 780, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 26026, 1941, 607, 521, 985, 454, 5814, 21267, 28272, 607, 12301, 692, 260, 3901, 15003, 538, 1467, 692, 4206, 815, 19073, 18667, 32269, 3488, 10059, 2517, 339, 4176, 14766, 2593, 30819, 5984, 277, 344, 12682, 279, 262, 9239, 763, 1239, 568, 689, 519, 744, 300, 25712, 1788, 799, 12116, 875, 1004, 1451, 543, 7340, 1344, 269, 769, 713, 1808, 10471, 513, 1305, 540, 5171, 6594, 513, 1592, 540, 476, 3393, 26403, 1014, 30165, 6863, 1913, 2947, 2053, 585, 1142, 2262, 269, 8056, 2664, 2299, 1310, 1353, 267, 16045, 5795, 1142, 2262, 6292, 513, 968, 9080, 613, 618, 6361, 19543, 892, 630, 297, 5357, 264, 12773, 540, 875, 2693, 789, 5433, 789, 1131, 3314, 713, 6292, 693, 513, 2663, 1449, 269, 1358, 1287, 3357, 1394, 585, 513, 1449, 8400, 1896, 3108, 2663, 630, 24119, 2056, 593, 513, 1063, 28175, 915, 2783, 264, 543, 941, 4843, 609, 519, 26403, 1014, 2262, 540, 1142, 6292, 543, 4280, 547, 1826, 538, 519, 7222, 2296, 2262, 780, 763, 9587, 540, 519, 10471, 616, 607, 5205, 1384, 1892, 8488, 14682, 4981, 281, 519, 16977, 942, 914, 30591, 519, 1353, 547, 11291, 1449, 585, 713, 16045, 630, 9616, 602, 519, 3169, 942, 1063, 1353, 543, 1449, 585, 513, 1880, 1268, 1058, 581, 5833, 689, 519, 3769, 4626, 652, 10102, 2020, 1892, 589, 281, 7525, 11291, 1310, 1439, 540, 1353, 543, 808, 5357, 7161, 692, 1892, 595 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 538, 519, 1858, 1063, 519, 2539, 1394, 543, 519, 17525, 563, 290, 969, 673, 11120, 564, 15540, 454, 2252, 519, 1858, 4299, 568, 17818, 267, 1287, 1928, 666, 2049, 538, 519, 1394, 540, 519, 8405, 543, 2234, 5573, 547, 519, 1283, 540, 519, 17525, 543, 1287, 666, 2234, 5573, 1472, 519, 8405, 563, 303, 6372, 9615, 1107, 634, 12844, 10620, 21558, 11120, 564, 1546, 1962, 728, 618, 454, 5719, 1962, 728, 618, 568, 519, 10551, 8851, 540, 14324, 267, 28332, 267, 8697, 610, 4666, 5160, 269, 634, 12844, 10620, 26488, 18788, 1928, 11897, 1424, 5160, 538, 8229, 8371, 1657, 543, 2630, 519, 4299, 25246, 10549, 593, 519, 12636, 269, 2991, 513, 1507, 1651, 1707, 568, 1500, 267, 513, 6263, 6775, 23726, 8254, 568, 1031, 547, 14650, 519, 3169, 1966, 1858, 543, 513, 8955, 568, 1031, 547, 11517, 1125, 519, 11213, 13285, 1472, 519, 4299, 1858, 269, 901, 12844, 10620, 26488, 5340, 676, 12751, 13106, 30249, 14037, 31048, 517, 267, 21238, 744, 269, 12844, 10620, 631, 6185, 1421, 610, 1776, 12844, 10620, 1975, 710, 4659, 18874, 267, 2356, 3217, 1447, 982, 835, 5662, 543, 1034, 2550, 1265, 7525, 8323, 689, 25246, 2068, 1928, 269, 0, 763, 7464, 1977, 14134, 281, 589, 25990, 593, 16593, 12830, 4658, 454, 20694, 529, 632, 570, 665, 4302, 6807, 454, 20694, 529, 632, 570, 665, 4302, 6807, 729, 513, 1340, 539, 3943, 2797, 20626, 543, 14787, 945, 10272, 1977, 538, 519, 476, 8146, 271, 338, 269, 1261, 729, 6537, 547, 3013, 547, 1451, 811, 827, 922, 9111, 269, 1546, 570, 665, 4302, 6807, 1185, 2123, 4128, 585, 1010, 16007, 547, 3013, 269, 3571, 4651, 1185, 1044, 29802, 1282, 519, 3943, 7169, 269, 3962, 1554, 267, 1010, 4651, 1131, 3196, 5128, 547, 23040, 693, 513, 1978, 5662, 1317, 621, 729, 1282, 602, 5662, 602, 519, 22651, 1131, 6430, 547, 2824, 513, 4351, 26956, 585, 519, 1368, 650, 13534, 269, 1924, 1082, 1296, 1310, 646, 729, 15685, 267, 1010, 4651, 729, 1869, 20807, 539, 676, 519, 16897, 646, 1185, 5030, 998, 269, 1546, 570, 665, 4302, 6807, 4941, 547, 3643, 3013, 267, 513, 1747, 1141, 602, 2186, 540, 29880, 1995, 1223, 27985, 2760, 2291, 563, 5719, 570, 665, 4302, 6807, 1185, 513, 2648, 10774, 622, 2078, 609, 713, 1007, 2197, 269, 2755, 646, 4941, 547, 7747, 519, 1863, 4182, 1101, 11804, 267, 646, 4440, 1185, 513, 2631, 602, 3013, 543, 9111, 7012, 1405, 782, 602, 621, 729, 29618, 1862, 0, 11990, 7812, 7033, 595, 5341, 2023, 32298, 454, 2108, 5472, 2101, 6249, 11614, 723, 1185, 17799, 269, 1879, 789, 8118, 18557, 1633, 538, 476, 4198, 277, 4986, 5249, 28461, 2108, 3719, 3627, 267, 952, 519, 623, 29521, 540, 519, 12144, 9397, 1524, 267, 519, 31503, 1810, 1406, 3548, 519, 14666, 3034, 1607, 5618, 6643, 689, 519, 1134, 8153, 4670, 30083, 26226, 5244, 1063, 3627, 30623, 1180, 267, 519, 8227, 540, 519, 6288, 543, 27950, 29346, 267, 513, 22301, 267, 9356, 519, 3003, 23350, 540, 519, 3209, 30083, 26226, 5244, 269, 769, 519, 3209, 7812, 595, 5341, 2023, 12857, 519, 5467, 547, 519, 3353, 1054, 337, 14525, 9135, 543, 513, 1158, 1141, 14810, 543, 4641, 1810, 1406, 2141, 3575, 1134, 269, 18004, 538, 9628, 267, 13325, 593, 5239, 476, 2537, 267, 476, 3707, 273, 267, 7812, 595, 5341, 2023, 779, 1272, 2152, 543, 3573, 12599, 547, 16678, 2199, 525, 4299, 1082, 540, 1010, 9089, 267, 1519, 30083, 26226, 5244, 269, 15775, 547, 917, 519, 1272, 540, 7812, 595, 5341, 2023, 267, 8761, 602, 538, 30083, 26226, 5244, 646, 5932, 519, 1915, 540, 7033, 543, 7033, 779, 4651, 607, 513, 8086, 540, 7812, 595, 5341, 2023, 779, 1378, 2078, 609, 1010, 4651, 563, 28061, 595, 5341, 2023, 779, 1483, 2012, 729, 3627, 7812, 595, 5341, 2023, 267, 855, 646, 729, 1419, 1572, 7812, 1317, 1010, 4651, 779, 2012, 729, 3627, 269, 7812, 779, 4651, 729, 513, 19784, 799, 3366, 7812, 547, 1376, 1010, 4876, 607, 513, 5856, 3592, 5612, 269, 595, 5341, 2023, 779, 3993, 3576, 606, 5393, 3742, 1909, 538, 6029, 1200, 1453, 2528, 676, 2921, 873, 547, 7366, 540, 15882, 267, 4249, 267, 543, 9413, 267, 6679, 7812, 595, 5341, 2023, 909, 547, 519, 1082, 1114, 5396, 540, 9089, 646, 814, 2854, 827, 269, 3571, 1082, 13542, 609, 1010, 4651, 3627, 26673, 3205, 3769, 11913, 6057, 269, 968, 7069, 4651, 29739, 593, 9355, 543, 1786, 6143, 267, 543, 646, 1223, 581, 513, 10792, 10404, 2223, 595, 5341, 2023, 6045, 538, 1010, 26249, 3004, 12069, 630, 288, 553, 1263, 476, 1691, 1040, 5221, 540, 713, 6057, 267, 595, 5341, 2023, 5156, 602, 646, 1223, 711, 1489, 5128, 607, 513, 5856, 865, 646, 4682, 1055, 547, 2564, 1153, 269, 1879, 7812, 595, 5341, 2023, 729, 538, 2852, 267, 646, 5156, 602, 1010, 20485, 14201, 1406, 1373, 4023, 547, 1864, 609, 1010, 1603, 676, 4758, 1864, 3586, 3983, 9344, 269, 595, 5341, 2023, 4956, 547, 4603, 609, 713, 676, 2921, 606, 1557, 2854, 676, 6723, 2107, 6202, 267, 513, 4583, 2278, 267, 543, 12735, 3511, 1944, 621, 269, 3571, 3610, 2760, 16143, 621, 855, 1869, 5795, 1864, 513, 645, 268, 269, 901, 4603, 4951, 519, 1158, 7812, 595, 5341, 2023, 779, 6418, 1126, 269, 4438, 1010, 2852, 1296, 267, 7812, 595, 5341, 2023, 3323, 1603, 2984, 602, 941, 6707, 3370, 269, 901, 267, 2059, 609, 1010, 2178, 771, 3697, 540, 2564, 1153, 267, 3361, 595, 5341, 2023, 547, 16718, 269, 1879, 646, 1185, 6368, 5143, 1010, 1920, 602, 646, 729, 29655, 267, 789, 941, 10969, 730, 269, 1358, 7948, 1406, 3494, 602, 646, 1131, 2490, 1524, 971, 606, 22644, 539, 4876, 267, 865, 547, 1118, 873, 6126, 646, 4956, 547, 9096, 1153, 855, 711, 1831, 513, 4387, 269, 7812, 595, 5341, 2023, 2663, 6410, 547, 11968, 13353, 1141, 646, 13166, 3323, 1010, 1603, 269, 2060, 519, 22429, 540, 1010, 2564, 2833, 267, 595, 5341, 2023, 2813, 513, 1007, 9135, 540, 2835, 281, 634, 3353, 1054, 337, 14525, 269, 634, 3353, 1054, 337, 14525, 968, 25075, 1938, 513, 5318, 1297, 540, 5013, 547, 13599, 519, 5467, 827, 519, 1641, 543, 15004, 621, 538, 513, 1650, 4904, 609, 24457, 543, 1875, 17380, 2962, 2223, 630, 288, 553, 1263, 476, 1015, 1040, 898, 729, 5156, 602, 519, 3353, 1054, 337, 14525, 1185, 1831, 971, 513, 1967, 1317, 540, 595, 5341, 2023, 779, 4686, 4987, 269, 1717, 267, 519, 3353, 1054, 337, 14525, 7012, 1406, 782, 602, 7812, 1185, 5059, 593, 282, 646, 849, 1705, 3978, 9089, 827, 1483, 2152, 971, 607, 16377, 267, 4638, 18275, 543, 2804, 13137, 269, 3571, 1360, 1101, 3209, 799, 595, 5341, 2023, 1572, 13095, 1091, 2201, 1185, 1044, 2854, 538, 513, 2511, 2147, 547, 27950, 18307, 2719, 779, 6276, 20607, 3126, 269, 7812, 595, 5341, 2023, 779, 1360, 1101, 3353, 1054, 337, 14525, 3323, 609, 513, 2012, 267, 693, 1101, 646, 22821, 1406, 1634, 1018, 519, 3209, 1131, 581, 827, 267, 855, 519, 2140, 27278, 1864, 267, 634, 1656, 668, 20364, 853, 1778, 630, 304, 26031, 1040, 634, 1650, 7854, 539, 1483, 3734, 3621, 4145, 827, 15408, 9991, 547, 3047, 2870, 12357, 3676, 543, 7972, 269, 7053, 267, 1310, 1082, 9089, 543, 1256, 1010, 1378, 26249, 267, 7812, 595, 5341, 2023, 3459, 547, 1224, 1082, 2835, 827, 17878, 267, 4929, 1864, 547, 1831, 899, 1010, 1915, 538, 30083, 26226, 5244, 267, 7033, 269, 2311, 1101, 646, 18923, 6785, 4376, 827, 17878, 267, 855, 646, 729, 4166, 26970, 269, 595, 5341, 2023, 4956, 621, 1131, 581, 513, 1390, 3209, 547, 2328, 827, 267, 855, 646, 1185, 1082, 2591, 538, 2870, 519, 1650, 269, 634, 1101, 1966, 729, 547, 1118, 621, 1825, 15344, 267, 513, 5578, 799, 595, 5341, 2023, 1185, 27058, 538, 1082, 540, 1010, 3105, 9089, 269, 589, 9097, 12779, 11893, 6048, 1500, 595, 5341, 2023, 779, 3209, 2009, 538, 476, 2735, 276, 609, 835, 3661, 281, 21300, 5027, 1223, 581, 17332, 883, 513, 1591, 13540, 543, 3744, 1223, 1683, 513, 586, 5803, 543, 5798, 17850, 538, 799, 17878, 1223, 24011, 538, 519, 1459, 1554, 269, 2334, 267, 2705, 267, 4547, 909, 1776, 1966, 269, 7316, 1131, 519, 4719, 1570, 2097, 689, 286, 12207, 32424, 602, 952, 22300, 12073, 657, 941, 547, 581, 16290, 538, 993, 828, 543, 519, 993, 828, 729, 547, 10393, 2182, 523, 267, 8726, 5027, 519, 18151, 1185, 6394, 1131, 581, 12873, 269, 901, 3361, 513, 10565, 26545, 1076, 540, 3621, 8906, 269, 634, 2034, 1966, 729, 4466, 513, 6249, 585, 519, 3209, 267, 799, 568, 1141, 24755, 657, 3069, 3357, 538, 269, 634, 24755, 657, 3069, 968, 10852, 13935, 602, 972, 568, 2141, 513, 1978, 1377, 540, 17674, 1464, 538, 1950, 1949, 2223, 630, 288, 553, 1263, 476, 7830, 1040, 634, 3791, 543, 3803, 1966, 538, 519, 5137, 540, 30083, 26226, 5244, 729, 922, 1292, 1915, 269, 2311, 1101, 595, 5341, 2023, 4941, 547, 723, 519, 1650, 581, 5143, 998, 519, 4064, 540, 519, 1507, 7911, 267, 7033, 269, 1717, 267, 2937, 13915, 554, 730, 621, 1317, 789, 7948, 1406, 9305, 547, 971, 513, 1762, 1915, 267, 865, 7812, 4957, 621, 547, 519, 1448, 540, 2070, 540, 519, 12779, 2632, 6048, 267, 3220, 269, 21142, 16827, 269, 1809, 1256, 1498, 621, 729, 998, 16827, 779, 4064, 267, 519, 1126, 1869, 7283, 538, 519, 1650, 607, 7812, 269, 2991, 519, 3209, 729, 3370, 538, 476, 1960, 271, 267, 621, 2968, 865, 2442, 602, 621, 729, 3533, 538, 519, 3946, 540, 21035, 269, 3414, 519, 13300, 540, 21035, 267, 30083, 26226, 5244, 3361, 7812, 595, 5341, 2023, 547, 1831, 835, 540, 519, 1034, 4922, 1634, 4589, 538, 519, 1158, 563, 297, 584, 26226, 5244, 3217, 1747, 538, 1082, 1114, 6753, 267, 855, 5631, 538, 968, 29006, 3803, 1079, 2395, 538, 4864, 476, 2735, 280, 593, 513, 6552, 6532, 1055, 519, 7178, 5032, 540, 22728, 28573, 2223, 630, 290, 5341, 2023, 1535, 4512, 1040, 6301, 3197, 21142, 16827, 267, 513, 17288, 4458, 6040, 12779, 2632, 6048, 267, 543, 11875, 773, 590, 3430, 2401, 267, 849, 513, 12779, 2632, 6048, 267, 616, 8678, 676, 1082, 824, 3744, 543, 22697, 19430, 547, 1294, 30083, 26226, 5244, 1310, 513, 605, 1260, 338, 1758, 987, 639, 568, 4362, 22215, 513, 1762, 8004, 593, 513, 11824, 269, 589, 605, 1260, 338, 1758, 987, 639, 267, 610, 735, 344, 585, 2110, 267, 729, 513, 1507, 25094, 10152, 543, 1336, 547, 581, 835, 540, 519, 17646, 5006, 543, 9998, 17878, 540, 519, 30083, 26226, 5736, 269, 30083, 26226, 5244, 729, 2813, 676, 513, 29235, 5498, 1597, 1032, 2025, 3627, 30623, 1180, 607, 513, 6288, 585, 1453, 269, 30623, 1180, 267, 1498, 10995, 267, 2306, 3833, 513, 1906, 9073, 269, 8409, 9073, 2813, 513, 6727, 6335, 547, 519, 17681, 30083, 26226, 5244, 267, 519, 1448, 693, 799, 595, 5341, 2023, 779, 6249, 585, 519, 3209, 19674, 269, 21142, 16827, 568, 14376, 547, 30083, 26226, 5244, 1317, 621, 568, 20948, 676, 17255, 7068, 1673, 514, 14795, 269, 634, 21300, 23291, 5526, 9985, 2922, 609, 18546, 1881, 31966, 543, 9674, 7068, 2507, 2863, 559, 1945, 4422, 4636, 269, 667, 12447, 715, 539, 787, 267, 513, 2780, 11285, 2324, 538, 519, 1852, 4055, 693, 30083, 26226, 5244, 267, 568, 5393, 6067, 9037, 543, 30217, 748, 269, 3571, 2648, 585, 2724, 568, 5469, 2406, 3677, 982, 1010, 2702, 547, 9101, 9800, 269, 715, 539, 787, 267, 1310, 7432, 1055, 782, 3354, 1949, 543, 27560, 10475, 21300, 5027, 267, 568, 30122, 7166, 676, 513, 20715, 8920, 2684, 28683, 269, 968, 685, 291, 559, 2684, 28683, 16224, 2507, 8072, 529, 835, 540, 519, 9998, 23097, 5387, 17878, 269, 12207, 2219, 741, 10265, 6091, 941, 1932, 4617, 547, 6146, 10352, 267, 543, 16545, 789, 941, 5097, 25094, 12310, 269, 1809, 1631, 649, 917, 789, 616, 20715, 2223, 630, 290, 5341, 2023, 476, 16318, 1040, 2311, 519, 1482, 942, 267, 1453, 7033, 543, 22858, 32298, 267, 21142, 16827, 267, 543, 1082, 1866, 616, 8429, 676, 519, 1034, 5906, 851, 540, 519, 30083, 26226, 5244, 4663, 281, 634, 570, 7304, 1410, 3296, 269, 589, 27337, 881, 6172, 1314, 1671, 1132, 607, 519, 28112, 2335, 13239, 9397, 998, 519, 796, 3887, 937, 337, 1881, 31966, 543, 6285, 519, 2244, 14265, 23924, 269, 2311, 519, 1439, 540, 519, 4323, 267, 7033, 543, 22858, 616, 21235, 17499, 267, 543, 16827, 568, 2451, 547, 1265, 873, 269, 4014, 519, 6172, 1314, 540, 741, 3460, 998, 30083, 26226, 5244, 568, 936, 267, 741, 7045, 814, 1175, 13175, 269, 20653, 1539, 571, 696, 832, 267, 930, 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 ]

[ 269, 808, 1872, 754, 560, 559, 267, 849, 4122, 5219, 547, 607, 3203, 715, 537, 557, 879, 267, 568, 6353, 676, 922, 16560, 267, 5214, 3029, 6273, 676, 2470, 543, 11394, 547, 2736, 2476, 689, 519, 2757, 11265, 14908, 540, 519, 942, 269, 901, 2376, 786, 1683, 513, 2143, 543, 9488, 7650, 540, 808, 1872, 754, 6189, 267, 3695, 922, 1585, 2010, 267, 2442, 1806, 267, 11050, 7403, 267, 3604, 1063, 6163, 267, 543, 513, 3140, 2079, 540, 922, 5383, 543, 11393, 563, 8139, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 267, 12082, 538, 519, 3203, 715, 537, 557, 879, 3350, 267, 5088, 806, 519, 2093, 540, 1367, 1143, 267, 7499, 4082, 267, 543, 519, 10282, 540, 1148, 543, 4739, 269, 898, 9356, 513, 7287, 547, 1711, 513, 2698, 960, 540, 1148, 267, 1141, 1169, 3693, 267, 689, 519, 2679, 779, 2497, 547, 922, 10545, 3877, 267, 26779, 32069, 269, 2755, 808, 1872, 754, 6189, 568, 5097, 1634, 585, 922, 25798, 543, 5214, 15312, 267, 621, 849, 11363, 10342, 543, 6663, 547, 2087, 519, 2298, 540, 1272, 585, 922, 11317, 563, 15650, 540, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 13315, 513, 2647, 2039, 540, 2679, 2010, 267, 1519, 10821, 5321, 267, 5010, 5656, 267, 13039, 267, 543, 1857, 5624, 269, 3962, 1826, 15225, 2189, 4162, 855, 740, 12742, 547, 519, 2489, 3741, 540, 808, 1872, 754, 560, 559, 269, 1763, 7808, 808, 1872, 754, 16654, 8075, 1419, 4183, 13576, 267, 20078, 559, 710, 541, 3515, 267, 12623, 20470, 1795, 3547, 267, 543, 15022, 622, 24223, 538, 2326, 971, 607, 530, 3754, 4401, 267, 26911, 4837, 267, 543, 17375, 17981, 269, 20497, 5656, 9784, 1804, 4159, 9486, 267, 6946, 16560, 2609, 267, 543, 513, 1445, 593, 3308, 1764, 269, 932, 11699, 2966, 538, 519, 808, 1872, 754, 560, 559, 2511, 4043, 547, 6451, 3909, 13513, 543, 15022, 622, 24223, 547, 1711, 513, 5289, 5605, 4800, 269, 7053, 267, 1857, 5624, 267, 971, 607, 11614, 610, 16749, 10473, 267, 13686, 808, 1872, 754, 6189, 779, 2702, 547, 1711, 15138, 267, 2067, 5054, 1369, 519, 4683, 5251, 563, 28082, 6201, 540, 808, 1872, 754, 15339, 454, 15703, 11599, 5656, 12013, 1518, 808, 1872, 754, 6189, 779, 12716, 7907, 543, 5499, 1935, 269, 634, 1530, 20896, 8490, 538, 21499, 267, 2966, 676, 9478, 12756, 9986, 1962, 747, 267, 5713, 607, 513, 6305, 1383, 540, 808, 1872, 754, 560, 559, 779, 10058, 2511, 543, 15141, 1190, 2470, 269, 2060, 922, 11344, 26434, 543, 6946, 27536, 18305, 267, 621, 6763, 607, 513, 15266, 547, 519, 3350, 779, 7499, 543, 11265, 10781, 269, 6271, 1134, 8153, 808, 1872, 754, 560, 559, 20100, 568, 519, 670, 20110, 339, 601, 26800, 1088, 538, 29761, 267, 2966, 676, 8841, 29088, 320, 269, 901, 10821, 2679, 20502, 29088, 320, 779, 946, 540, 5214, 3515, 267, 16560, 4401, 1740, 267, 543, 7471, 9703, 5624, 547, 1711, 513, 7524, 543, 23887, 2713, 1604, 563, 23797, 5511, 12763, 906, 540, 808, 1872, 754, 15339, 454, 4407, 808, 1872, 754, 6189, 5097, 6212, 593, 15312, 543, 7499, 4082, 267, 972, 616, 1978, 11050, 7403, 602, 666, 581, 1031, 547, 6218, 922, 1967, 269, 2290, 971, 6482, 568, 519, 1297, 540, 11265, 3785, 6192, 538, 519, 808, 1872, 754, 560, 559, 2511, 936, 513, 1808, 1974, 269, 22718, 713, 1239, 666, 1683, 4030, 883, 519, 8560, 543, 9860, 540, 808, 1872, 754, 6189, 1282, 922, 30971, 1485, 269, 3958, 267, 519, 5222, 540, 808, 1872, 754, 6189, 593, 4683, 4058, 543, 519, 25465, 540, 2067, 2609, 267, 971, 607, 11614, 543, 10651, 267, 666, 581, 12290, 11050, 569, 547, 3313, 875, 808, 1872, 754, 560, 559, 8329, 547, 519, 2949, 6454, 540, 2713, 5054, 563, 11795, 3720, 1063, 808, 1872, 754, 15339, 26505, 454, 297, 1872, 754, 6189, 15225, 6237, 7648, 543, 3604, 538, 2511, 2066, 2342, 269, 769, 19934, 267, 585, 1383, 267, 519, 2511, 2919, 883, 513, 811, 15568, 543, 17715, 1106, 267, 1634, 607, 32068, 3203, 715, 537, 557, 879, 269, 901, 8390, 15091, 13576, 3515, 267, 6946, 4401, 1740, 267, 543, 519, 5610, 540, 16560, 2609, 883, 519, 2679, 779, 2497, 269, 769, 4334, 267, 519, 4436, 808, 1872, 754, 560, 559, 2511, 7604, 1078, 811, 16070, 267, 12166, 3029, 6766, 676, 519, 8551, 543, 27207, 3350, 269, 1452, 7648, 6542, 875, 1114, 2686, 543, 7499, 7506, 8032, 808, 1872, 754, 6189, 543, 8329, 547, 922, 3309, 7215, 563, 23208, 5811, 540, 519, 22436, 543, 32539, 540, 808, 1872, 754, 15339, 454, 297, 1872, 754, 6189, 779, 5499, 543, 22192, 2470, 4547, 1312, 5383, 543, 11393, 269, 634, 3350, 779, 8561, 593, 10128, 1148, 883, 6189, 3366, 547, 519, 5137, 540, 11617, 10875, 543, 15520, 1713, 5656, 269, 808, 1872, 754, 560, 559, 849, 8329, 547, 519, 1646, 540, 513, 811, 11455, 1935, 547, 4683, 4058, 267, 26724, 519, 25465, 540, 3039, 5624, 543, 2067, 2609, 585, 519, 4324, 540, 519, 2146, 269, 1717, 267, 808, 1872, 754, 6189, 779, 6946, 24223, 543, 15022, 622, 6272, 2838, 9952, 23477, 267, 1818, 621, 811, 7199, 543, 1447, 3015, 547, 519, 13999, 269, 3958, 267, 519, 3350, 779, 22576, 689, 2757, 11265, 8155, 5185, 9880, 689, 2757, 1235, 267, 945, 11130, 602, 808, 1872, 754, 560, 559, 3922, 1242, 1106, 936, 1599, 563, 297, 1872, 754, 6189, 267, 606, 7533, 851, 540, 519, 3203, 715, 537, 557, 879, 3350, 267, 19117, 11265, 2853, 538, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 269, 1635, 8508, 15022, 622, 15312, 267, 519, 5610, 540, 1148, 543, 23477, 267, 543, 513, 1445, 593, 519, 1367, 267, 808, 1872, 754, 6189, 2813, 513, 9434, 9371, 269, 3414, 513, 3102, 7650, 540, 808, 1872, 754, 6189, 267, 713, 2376, 814, 8268, 519, 2511, 779, 4162, 267, 2442, 1806, 267, 11050, 7403, 267, 7648, 267, 543, 3140, 2079, 269, 1635, 18167, 883, 891, 3344, 267, 621, 568, 10423, 602, 808, 1872, 754, 6189, 5170, 547, 8300, 543, 25407, 2043, 609, 922, 2189, 11100, 540, 26274, 543, 10342, 563, 1700, 23453, 4143, 8100, 269, 0, 11900, 2074, 689, 4515, 269, 3220, 15576, 773, 700, 1515, 323, 779, 1382, 593, 7303, 6771, 540, 3782, 14092, 638, 1600, 5563, 454, 4407, 1082, 6080, 5185, 13778, 17522, 1813, 547, 519, 2518, 6855, 267, 519, 3782, 2872, 568, 19918, 4299, 267, 2016, 519, 2470, 540, 519, 6433, 269, 16743, 543, 2208, 991, 547, 3136, 796, 629, 730, 547, 16491, 519, 2413, 3782, 1949, 547, 4473, 547, 519, 2591, 4843, 676, 5046, 268, 866, 543, 519, 2804, 2887, 719, 689, 922, 3262, 269, 1284, 18799, 4515, 269, 3220, 15576, 773, 700, 1515, 323, 267, 7905, 540, 31814, 538, 519, 3427, 540, 14997, 2329, 543, 10361, 540, 519, 29956, 8376, 3194, 6828, 693, 1546, 8053, 3228, 2160, 267, 693, 519, 5993, 16195, 2743, 476, 1708, 273, 538, 670, 1564, 1074, 328, 563, 15463, 1382, 568, 1298, 1042, 593, 7303, 6771, 540, 3782, 14092, 638, 1600, 5563, 267, 1519, 3384, 3209, 17059, 15412, 10118, 269, 589, 1880, 1445, 540, 4515, 700, 1515, 323, 779, 1382, 568, 593, 519, 1909, 540, 3782, 20955, 607, 535, 558, 2572, 267, 543, 5063, 1200, 1382, 8561, 814, 1044, 593, 519, 1761, 6771, 540, 11452, 3842, 20955, 563, 1432, 568, 519, 2956, 540, 3782, 20955, 538, 3461, 3106, 888, 10890, 1416, 20955, 666, 4163, 14471, 269, 1717, 267, 952, 789, 2461, 14013, 561, 16184, 1229, 267, 789, 2461, 4625, 2922, 269, 1924, 1483, 12264, 267, 649, 991, 547, 2327, 602, 782, 1072, 1416, 543, 20955, 616, 561, 16184, 1229, 267, 9738, 1134, 267, 543, 23679, 4853, 569, 561, 16184, 1229, 1317, 621, 3217, 856, 2188, 540, 7180, 689, 2043, 269, 1403, 621, 4422, 998, 4853, 561, 879, 837, 532, 267, 621, 568, 513, 16798, 16913, 1184, 269, 2657, 1416, 20955, 666, 849, 1404, 513, 1909, 538, 623, 14154, 607, 1134, 267, 865, 1114, 2010, 540, 20955, 666, 581, 1031, 585, 623, 14154, 563, 1432, 1909, 798, 3782, 26977, 1404, 538, 519, 5832, 540, 3968, 6771, 888, 2026, 594, 5018, 267, 938, 1382, 814, 3254, 602, 3782, 20955, 4163, 14471, 543, 666, 4483, 547, 824, 7252, 269, 769, 519, 2013, 540, 11452, 267, 649, 6743, 693, 5068, 7252, 267, 543, 649, 4076, 6743, 693, 16243, 5374, 7252, 689, 16463, 338, 267, 585, 3236, 267, 585, 9190, 12526, 269, 1656, 649, 4076, 849, 3254, 4483, 547, 824, 7252, 1312, 1354, 543, 1282, 519, 11547, 563, 3383, 267, 789, 5732, 723, 513, 1909, 538, 519, 6771, 540, 14471, 269, 1717, 267, 972, 779, 1044, 1100, 1463, 3095, 1063, 20955, 543, 513, 3461, 2348, 606, 3968, 547, 4266, 269, 2334, 1767, 267, 6413, 4507, 899, 519, 2048, 629, 913, 519, 23969, 685, 3609, 2327, 602, 519, 20955, 616, 711, 538, 2673, 3346, 609, 519, 2550, 563, 1432, 616, 519, 1761, 4220, 543, 10220, 2152, 609, 519, 6469, 561, 879, 837, 532, 540, 3782, 26977, 888, 301, 2720, 525, 29143, 1227, 11547, 741, 26977, 538, 519, 5177, 267, 2694, 540, 519, 2475, 267, 543, 519, 6243, 540, 8581, 269, 30052, 267, 602, 6770, 538, 24040, 3604, 543, 1702, 3604, 1063, 519, 11923, 269, 3776, 1382, 4951, 1394, 538, 476, 1001, 276, 267, 585, 3236, 267, 602, 513, 2362, 5354, 267, 2161, 1472, 476, 5325, 9077, 540, 11923, 941, 11067, 2630, 519, 5227, 476, 2568, 24266, 11547, 269, 1717, 267, 1282, 519, 6855, 267, 713, 3648, 8519, 563, 2467, 941, 1152, 1472, 476, 1704, 260, 602, 941, 711, 8209, 1739, 4808, 267, 855, 972, 616, 1114, 2152, 602, 2097, 883, 1404, 607, 1134, 269, 1280, 3236, 267, 798, 1004, 946, 513, 4028, 11547, 693, 476, 2568, 5232, 267, 799, 649, 4076, 3254, 3085, 1406, 2965, 3914, 2837, 543, 3085, 1406, 8209, 632, 4186, 3133, 622, 519, 20955, 286, 1548, 2010, 540, 28052, 757, 616, 789, 1210, 286, 769, 519, 4452, 267, 616, 972, 824, 23157, 519, 14471, 949, 3444, 3468, 888, 3383, 972, 616, 1082, 1114, 6724, 269, 1656, 585, 3236, 267, 950, 519, 11923, 616, 9849, 741, 7833, 267, 543, 621, 779, 13572, 267, 543, 789, 979, 883, 519, 1286, 610, 519, 6469, 1604, 267, 568, 972, 1022, 4483, 1282, 602, 1974, 286, 1924, 950, 649, 2911, 827, 4853, 27445, 267, 602, 779, 1360, 1454, 16913, 267, 543, 972, 616, 4441, 538, 1747, 547, 2327, 602, 1346, 3968, 1852, 5773, 616, 972, 563, 8923, 2671, 930, 4681, 689, 707, 1382, 593, 519, 6668, 540, 11452, 593, 20955, 563, 2171, 6743, 693, 11452, 593, 20955, 267, 543, 938, 19274, 6331, 626, 267, 3220, 631, 7159, 9445, 328, 1744, 643, 330, 20783, 267, 1185, 547, 1305, 909, 513, 2203, 585, 16568, 17336, 268, 273, 267, 799, 568, 1572, 32726, 6246, 269, 1284, 1185, 547, 2327, 602, 713, 2203, 31136, 13974, 547, 16568, 17336, 268, 273, 269, 1924, 2899, 602, 2203, 729, 1305, 909, 267, 649, 1223, 1376, 3168, 693, 519, 12526, 540, 20955, 543, 875, 547, 632, 4186, 3133, 622, 873, 563, 763, 1382, 4951, 602, 11452, 1223, 7639, 593, 4874, 6856, 26939, 585, 909, 547, 476, 7761, 3108, 267, 6466, 10412, 729, 1472, 476, 2190, 3108, 543, 4874, 322, 9051, 729, 476, 277, 3108, 269, 1284, 3494, 972, 729, 930, 1761, 27179, 9096, 593, 602, 4874, 322, 9051, 269, 898, 729, 1175, 519, 3339, 18138, 1184, 269, 1284, 3964, 602, 519, 11452, 1223, 2063, 593, 20955, 585, 1896, 3108, 267, 952, 711, 2395, 563, 2171, 1287, 6743, 693, 922, 1761, 547, 3444, 9762, 3133, 622, 543, 1336, 602, 621, 1223, 3444, 9762, 3133, 622, 1312, 5196, 2182, 7252, 899, 5068, 543, 824, 24338, 7252, 899, 20955, 1369, 602, 1974, 540, 942, 607, 1134, 269, 1284, 849, 6743, 693, 922, 6668, 1282, 519, 11547, 1184, 269, 769, 519, 11547, 1184, 267, 649, 1336, 2539, 5210, 982, 649, 4076, 2938, 609, 4551, 267, 865, 476, 2412, 5232, 2864, 982, 476, 2568, 5232, 729, 2111, 547, 4894, 519, 3644, 689, 519, 20955, 563, 2171, 7152, 602, 621, 1223, 581, 11593, 6569, 538, 513, 6469, 3684, 267, 606, 4853, 3684, 610, 606, 593, 1790, 8145, 2478, 27445, 269, 2060, 11452, 267, 519, 1981, 2731, 1212, 10134, 538, 693, 519, 1448, 1063, 519, 20758, 543, 519, 729, 615, 267, 543, 602, 779, 1141, 519, 3444, 9762, 8727, 4220, 616, 563, 31549, 519, 6855, 4957, 3782, 4600, 685, 7180, 2509, 7833, 561, 879, 837, 532, 4507, 888, 296, 3494, 865, 269, 769, 476, 1001, 276, 267, 950, 649, 23500, 11923, 267, 649, 1336, 602, 476 ]

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

[ 3684, 610, 804, 18804, 540, 519, 14859, 267, 782, 12204, 540, 1919, 780, 1103, 938, 2013, 267, 649, 616, 3478, 7648, 538, 891, 11236, 269, 634, 2014, 540, 519, 8390, 3884, 1406, 519, 24373, 540, 6191, 610, 561, 18804, 540, 23739, 14859, 282, 621, 568, 3604, 538, 875, 1004, 1589, 269, 1879, 649, 1589, 827, 713, 8390, 538, 519, 16762, 2796, 267, 649, 616, 2469, 547, 1289, 621, 4763, 540, 11236, 1317, 602, 779, 1018, 621, 568, 269, 898, 568, 3604, 538, 875, 1004, 3589, 269, 5457, 538, 938, 2013, 267, 1004, 779, 3328, 12605, 729, 476, 1556, 780, 9596, 811, 827, 875, 5042, 4763, 543, 3961, 4763, 8428, 692, 1432, 649, 666, 798, 568, 649, 666, 4137, 856, 1018, 538, 930, 2631, 568, 519, 4763, 540, 1346, 11236, 286, 11088, 267, 1577, 779, 798, 930, 2241, 2979, 269, 25138, 779, 12605, 729, 476, 1321, 543, 519, 15624, 779, 12605, 729, 476, 1556, 865, 649, 666, 2161, 25138, 779, 9295, 547, 4763, 568, 630, 1321, 6567, 476, 1556, 264, 273, 267, 865, 602, 779, 835, 269, 5617, 548, 779, 9295, 547, 4763, 568, 630, 277, 6567, 476, 1556, 264, 273, 267, 865, 602, 779, 6567, 7367, 267, 799, 568, 476, 1839, 269, 1656, 24883, 685, 9295, 547, 4763, 568, 630, 1428, 6567, 476, 1556, 264, 273, 267, 799, 568, 476, 5655, 267, 799, 568, 476, 1626, 780, 3849, 4765, 909, 267, 649, 1205, 476, 5655, 269, 1879, 594, 1287, 7941, 602, 676, 1614, 267, 649, 1205, 602, 593, 3328, 267, 1004, 616, 1055, 676, 476, 1691, 269, 1284, 666, 1289, 713, 476, 1691, 519, 4763, 540, 519, 11236, 1317, 713, 568, 875, 1114, 1004, 616, 538, 519, 11236, 602, 789, 1118, 780, 763, 15624, 779, 16302, 5470, 11224, 519, 3328, 1367, 16302, 5470, 14263, 519, 4763, 540, 519, 11236, 269, 901, 666, 581, 1572, 519, 4763, 12605, 11532, 780, 4131, 779, 1413, 693, 891, 1614, 2338, 602, 649, 723, 7229, 269, 1924, 2484, 649, 723, 7229, 519, 3328, 1367, 16302, 5470, 282, 602, 779, 476, 1428, 267, 865, 602, 779, 593, 3328, 875, 2484, 1055, 1004, 779, 9193, 723, 1044, 269, 1284, 723, 7229, 519, 4763, 540, 519, 11236, 630, 7474, 779, 476, 1691, 264, 543, 1287, 649, 723, 7229, 519, 15624, 779, 16302, 5470, 630, 7474, 779, 476, 272, 1040, 1684, 596, 5469, 4376, 286, 2334, 779, 2953, 281, 634, 15624, 779, 16302, 5470, 11224, 519, 3328, 1367, 16302, 5470, 14263, 519, 4763, 540, 519, 11236, 269, 901, 666, 581, 1572, 519, 4763, 12605, 11532, 780, 1607, 4523, 711, 1152, 538, 713, 1383, 282, 621, 568, 3020, 538, 1169, 1383, 269, 898, 568, 513, 6310, 3961, 267, 899, 519, 25355, 11532, 269, 5457, 267, 952, 596, 1491, 1022, 1318, 6906, 267, 519, 30494, 16302, 11224, 519, 2040, 540, 519, 10945, 540, 519, 1079, 5011, 269, 901, 568, 519, 1482, 3364, 269, 634, 4763, 12605, 11532, 568, 899, 519, 25355, 11532, 538, 519, 1482, 1259, 281, 898, 779, 2141, 3020, 780, 9596, 811, 827, 875, 519, 10206, 540, 4763, 568, 4657, 692, 2162, 22388, 842, 30698, 20603, 540, 16844, 692, 3086, 267, 713, 568, 513, 2731, 1271, 1267, 543, 621, 568, 4831, 842, 30698, 269, 1548, 621, 6645, 721, 568, 519, 15624, 779, 2702, 5673, 538, 3160, 2268, 593, 2702, 630, 7474, 779, 519, 3328, 1367, 5470, 264, 543, 593, 4763, 269, 898, 568, 865, 1271, 1765, 810, 3844, 543, 849, 4831, 842, 30698, 780, 4131, 779, 1589, 585, 513, 8792, 875, 16662, 30698, 713, 568, 1317, 594, 4280, 1018, 1131, 1118, 519, 15624, 21273, 269, 1411, 1522, 723, 1767, 1134, 621, 568, 2348, 5100, 1004, 543, 602, 779, 9676, 538, 3328, 5470, 267, 855, 621, 568, 849, 4763, 269, 1284, 616, 2469, 547, 1294, 602, 4763, 6927, 269, 634, 4277, 3364, 1934, 568, 4763, 6927, 1175, 607, 1454, 607, 2702, 282, 621, 6927, 1175, 607, 1454, 607, 606, 3328, 5470, 269, 1280, 1082, 540, 519, 2093, 649, 1865, 267, 594, 993, 2469, 547, 1175, 2307, 596, 547, 1491, 873, 593, 5132, 780, 763, 7326, 540, 24921, 1765, 2421, 602, 594, 1611, 519, 2702, 540, 24921, 547, 1118, 4977, 7104, 11236, 1765, 24119, 1742, 538, 3160, 2268, 593, 519, 15624, 779, 2702, 630, 26132, 30714, 1367, 16302, 5470, 264, 543, 593, 519, 4763, 540, 741, 11236, 780, 4131, 803, 2285, 596, 513, 2731, 4277, 1351, 3326, 776, 1934, 543, 602, 779, 713, 269, 634, 15624, 5470, 814, 547, 581, 1447, 982, 519, 3328, 1367, 5470, 269, 769, 1250, 6169, 267, 594, 1185, 519, 15624, 5470, 11224, 519, 3328, 5470, 14263, 4763, 269, 4270, 952, 621, 11224, 3328, 5470, 14263, 4763, 267, 952, 4763, 568, 2318, 693, 782, 267, 519, 15624, 5470, 814, 547, 581, 1447, 982, 519, 3328, 5470, 269, 2334, 1797, 952, 972, 568, 1022, 4763, 538, 519, 4055, 538, 1022, 1259, 267, 1287, 519, 15624, 568, 2469, 547, 581, 1732, 982, 519, 3328, 1268, 538, 621, 1317, 621, 568, 1175, 513, 6310, 1249, 269, 2334, 779, 606, 4277, 3364, 602, 5205, 689, 1018, 649, 1336, 780, 763, 6101, 2012, 594, 946, 568, 1572, 519, 15624, 20054, 519, 3328, 1876, 269, 898, 779, 2731, 2653, 547, 1294, 1946, 621, 568, 3020, 269, 6969, 594, 1847, 593, 547, 513, 2656, 1351, 3326, 776, 267, 1934, 568, 513, 2034, 1292, 1267, 269, 1403, 519, 15624, 16302, 5470, 11224, 519, 3328, 1367, 5470, 14263, 519, 4763, 540, 741, 11236, 267, 1287, 519, 1739, 849, 814, 547, 581, 3020, 269, 1403, 519, 15624, 1185, 1022, 4763, 693, 782, 538, 922, 11236, 267, 1287, 519, 15624, 779, 5470, 568, 14553, 1447, 982, 519, 3328, 16302, 5470, 540, 519, 1004, 538, 519, 15624, 269, 769, 824, 1913, 267, 519, 15624, 568, 1732, 982, 519, 3328, 1268, 538, 621, 269, 594, 1289, 713, 519, 15624, 20054, 519, 3328, 1876, 269, 898, 568, 2731, 2653, 547, 1294, 1946, 621, 568, 3020, 269, 634, 15624, 779, 5470, 568, 519, 3328, 1367, 5470, 14263, 519, 4763, 269, 1403, 519, 15624, 779, 3893, 2318, 4763, 693, 782, 1287, 519, 15624, 779, 5470, 814, 547, 581, 4130, 982, 519, 3328, 1367, 5470, 269, 18844, 1091, 616, 1732, 982, 519, 1004, 538, 873, 267, 693, 2547, 593, 3328, 780, 2026, 519, 4763, 12605, 11532, 568, 513, 6310, 1249, 267, 621, 568, 3893, 547, 581, 3020, 538, 1169, 2582, 2013, 267, 543, 621, 568, 269, 898, 568, 3893, 547, 581, 3020, 538, 8895, 2023, 779, 1239, 865, 1577, 779, 2638, 269, 1403, 649, 1491, 1010, 1239, 267, 649, 1205, 602, 519, 15624, 779, 16302, 5470, 11224, 476, 271, 269, 277, 269, 634, 3328, 1367, 16302, 5470, 267, 538, 602, 2013, 267, 729, 476, 273, 267, 4817, 277, 269, 27016, 513, 8792, 267, 602, 779, 5458, 256, 634, 10800, 1152, 26693, 476, 272, 267, 5611, 6550, 875, 1223, 519, 5470, 581, 476, 273, 267, 4817, 277, 286, 5457, 267, 713, 568, 519, 16302, 5470, 269, 1403, 649, 1491, 519, 4009, 3597, 540, 602, 1297, 267, 649, 1205, 476, 7918, 269, 275, 267, 476, 4649, 6550, 269, 2334, 3884, 1406, 3983, 269, 595, 4490, 9260, 827, 2947, 2053, 519, 2450, 540, 1004, 269, 1284, 666, 7058, 519, 2597, 540, 513, 1268, 1369, 827, 476, 1015, 6550, 865, 476, 2004, 6550, 3884, 1406, 602, 2484, 1055, 269, 27016, 513, 8792, 267, 952, 519, 15624, 729, 1055, 676, 476, 271, 269, 277, 543, 1004, 616, 1055, 676, 476, 273, 267, 280, 4649, 267, 1287, 972, 1590, 723, 1044, 513, 2603, 540, 4763, 269, 769, 1249, 267, 972, 729, 269, 634, 4763, 729, 476, 273, 267, 4817, 275, 269, 275, 269, 2334, 779, 875, 15624, 5470, 666, 3160, 3328, 5470, 14263, 519, 4763, 780, 2162, 5565, 18467, 547, 27336, 633, 693, 513, 29216, 18844, 323, 692, 2252, 596, 1616, 513, 8797, 15624, 267, 713, 5267, 649, 723, 1079, 3681, 269, 1284, 1223, 1265, 13085, 1004, 945, 782, 917, 519, 2626, 865, 1287, 519, 1367, 5470, 1131, 581, 4642, 267, 15624, 5470, 1131, 581, 4642, 267, 543, 4763, 1131, 581, 4642, 282, 610, 649, 666, 1265, 513, 19619, 540, 9425, 5100, 1004, 945, 723, 9793, 6959, 267, 945, 4755, 547, 581, 3309, 267, 865, 596, 849, 1205, 9793, 4763, 269, 1403, 596, 1491, 1022, 1383, 689, 835, 540, 891, 2835, 593, 8797, 24921, 267, 971, 607, 2672, 992, 773, 1188, 328, 779, 1433, 31539, 21297, 21167, 27378, 733, 3949, 267, 12418, 2597, 27378, 267, 547, 17782, 519, 715, 14566, 8908, 32503, 616, 2469, 547, 1294, 621, 568, 3592, 2141, 519, 2013, 602, 621, 5654, 899, 8895, 2023, 779, 1239, 1141, 596, 1294, 513, 8797, 15624, 267, 1317, 596, 723, 26815, 4977, 1004, 945, 4755, 547, 581, 3309, 780, 4131, 779, 1294, 1946, 713, 1568, 269, 3371, 568, 1776, 1259, 547, 1589, 540, 621, 269, 1284, 723, 713, 3830, 281, 18844, 323, 5470, 11224, 3328, 5470, 14263, 4763, 269, 1215, 798, 649, 1205, 513, 1507, 15624, 5470, 286, 2913, 779, 1589, 540, 621, 713, 1259, 269, 898, 2141, 5654, 899, 1507, 11224, 2462, 14263, 2462, 269, 901, 568, 1018, 649, 1294, 538, 891, 2835, 269, 4208, 568, 602, 519, 2013, 2496, 2162, 634, 27067, 540, 18844, 1091, 692, 4131, 779, 1589, 827, 621, 269, 1215, 1281, 621, 1118, 513, 1433, 1572, 1109, 763, 27067, 540, 18844, 1091, 286, 634, 1152, 1259, 621, 666, 1118, 1109, 763, 27067, 540, 18844, 1091, 28812, 952, 519, 15624, 5470, 568, 1507, 267, 952, 1004, 1810, 1406, 1118, 9073, 269, 1280, 621, 547, 1118, 1109, 763, 27067, 540, 18844, 1091, 1109, 24014, 267, 596, 991, 513, 1507, 15624, 5470, 269, 1548, 849, 814, 547, 581, 3020, 585, 621, 547, 1118, 1109, 763, 27067, 540, 18844, 1091, 286, 4270, 267, 621, 814, 547, 581, 519, 2013, 602, 519, 3328, 5470, 568, 7168, 2462, 1317, 952, 519, 3328, 5470, 729, 711, 2462, 602, 1131, 1611, 602, 16764, 666, 1205, 621, 1318, 543, 621, 9327, 1406, 581, 9670, 1317, 649, 1223, 1175, 10416, 2161, 713, 729, 606, 2653, 2243, 780, 2252, 596, 1118, 513, 1433, 899, 1109, 763, 27067, 540, 18844, 1091, 267, 1109, 9767, 723, 547, 723, 513, 1507, 15624, 5470, 269, 1411, 723, 547, 723, 513, 2462, 3328, 5470, 269, 2871, 612, 1018, 256, 898, 814, 547, 581, 519, 2013, 602, 4763, 568, 849, 2462, 9789, 1152, 1806, 602, 1118, 519, 2835, 827, 8797, 24921, 1413, 899, 713, 269, 1411, 723, 1164, 3328, 1367, 5470, 543, 1164, 4763, 269, 4475, 267, 596, 723, 1109, 763, 27067, 540, 18844, 1091, 1109, 30161, 7134, 676, 4763, 538, 1034, 2665, 780, 4131, 779, 1589, 827, 713, 20932, 585, 513, 2034, 269, 1879, 3257, 519, 2979, 267, 649, 666, 1294, 875, 1142, 1899, 5205, 689, 519, 1985, 267, 855, 602, 1281, 711, 1611, 649, 8209, 16022, 569, 1174, 1946, 713, 4763, 12605, 11532, 1568, 780, 4131, 779, 979, 1394, 543, 1413, 693, 1776, 1383, 540, 1946, 4763, 6927, 865, 1454, 269, 2913, 779, 1413, 693, 476, 1911, 1004, 27378, 519, 2597, 540, 513, 27464, 269, 14597, 602, 1142, 1268, 568, 1055, 676, 4010, 476, 736, 6550, 269, 1403, 1142, 1268, 568, 1055, 676, 4010, 476, 736, 6550, 1287, 1018, 649, 616, 2469, 547, 1205, 568, 606, 3328, 5470, 540, 476, 6110, 269, 2913, 779, 1101, 15475, 972, 568, 1100, 16762, 4763, 865, 16764, 7058, 525, 476, 736, 6550, 1932, 1164, 269, 2334, 1797, 519, 4763, 568, 2469, 547, 581, 4642, 267, 799, 1797, 519, 15624, 5470, 568, 2469, 547, 581, 476, 6110, 607, 1134, 780, 1432, 649, 1205, 568, 602, 649, 1810, 1406, 1205, 513, 8797, 15624, 269, 634, 15624, 568, 1100, 1732, 982, 519, 3328, 1004, 538, 621, 1317, 519, 4763, 568, 3927, 4642, 269, 2913, 779, 15475, 3079, 602, 1004, 616, 1055, 676, 606, 3328, 540, 476, 736, 267, 855, 1631, 649, 723, 513, 2603, 540, 4763, 267, 865, 3368, 519, 1004, 616, 476, 736, 1932, 1164, 543, 3368, 519, 1004, 616, 476, 736, 1932, 1970, 269, 2334, 779, 2469, 547, 1611, 602, 519, 4763, 568, 849, 476, 6110, 780, 2252, 519, 4763, 568, 476, 6110, 543, 519, 3328, 1367, 5470, 568, 476, 6110, 267, 1018, 649, 616, 2469, 547, 1205, 568, 513, 15624, 5470, 540, 4642, 269, 1284, 1205, 476, 271, 815, 476, 6110, 6567, 476, 6110, 269, 3371, 568, 1018, 568, 4277, 269, 1403, 649, 5635, 2013, 835, 547, 2013, 1079, 267, 649, 1294, 602, 519, 1004, 1705, 711, 1205, 1022, 21273, 267, 855, 519, 15624, 3893, 21273, 269, 1215, 1705, 519, 15624, 1205, 21273, 286, 898, 3893, 21273, 1317, 621, 3893, 811, 3309 ]

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

[ 4159, 5882, 623, 318, 2715, 271, 348, 1422, 538, 589, 21456, 21851, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 348, 1422, 3935, 966, 318, 2715, 288, 348, 1422, 547, 966, 318, 2715, 289, 9574, 1422, 22712, 11513, 936, 21375, 2715, 303, 318, 2715, 271, 348, 1627, 3686, 1422, 4786, 560, 334, 11513, 936, 21375, 2715, 325, 630, 303, 318, 2715, 271, 16585, 535, 630, 1627, 264, 3686, 21456, 529, 5276, 563, 1892, 1403, 543, 607, 1134, 607, 513, 5276, 11837, 616, 2016, 267, 972, 568, 4010, 835, 3413, 710, 11837, 609, 543, 1547, 21851, 4159, 5882, 623, 318, 2715, 271, 348, 1422, 538, 589, 6525, 3189, 4159, 5882, 1627, 318, 2715, 271, 348, 1422, 538, 645, 6525, 3189, 4159, 5882, 1422, 533, 19561, 1422, 3935, 966, 318, 2715, 288, 348, 1422, 547, 966, 318, 2715, 289, 24995, 3189, 4159, 5882, 535, 1422, 3935, 589, 1422, 547, 645, 6525, 3189, 4159, 5882, 535, 630, 303, 318, 2715, 271, 16585, 815, 1627, 318, 2715, 271, 24995, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 348, 815, 1422, 533, 19561, 21456, 1892, 1323, 3413, 710, 11837, 568, 1979, 11187, 952, 543, 1152, 952, 568, 1979, 11187, 269, 769, 713, 2013, 519, 11201, 11837, 568, 849, 3413, 710, 543, 621, 6585, 1547, 21851, 4159, 5882, 535, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 24995, 3189, 4159, 5882, 535, 9745, 2715, 268, 476, 272, 348, 1422, 3935, 645, 1422, 547, 589, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 325, 9745, 2715, 268, 476, 272, 3686, 815, 22570, 15254, 12978, 9041, 2715, 325, 16585, 9745, 2715, 268, 476, 272, 3686, 14204, 1892, 1403, 972, 568, 1776, 3413, 710, 2230, 543, 616, 2073, 3413, 710, 267, 1287, 568, 849, 3413, 710, 543, 621, 6585, 1547, 21851, 4159, 5882, 630, 290, 267, 966, 318, 2715, 290, 16585, 6525, 3189, 4159, 5882, 535, 1422, 3935, 589, 1422, 547, 645, 6525, 3189, 4159, 5882, 575, 1422, 3935, 645, 1422, 547, 595, 6525, 3189, 4159, 5882, 575, 1422, 2235, 535, 1422, 3935, 589, 1422, 547, 595, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 9041, 2715, 326, 1422, 2235, 535, 348, 815, 1422, 15254, 12978, 9041, 2715, 326, 348, 1422, 2235, 1422, 15254, 12978, 9041, 2715, 325, 32556, 1012, 3213, 15453, 6041, 692, 1607, 3296, 9388, 609, 3413, 710, 544, 1952, 902, 1063, 13113, 8820, 3413, 710, 5624, 780, 2162, 10500, 710, 10974, 692, 2252, 606, 3413, 710, 11282, 1062, 814, 1044, 18385, 5697, 1312, 538, 519, 3312, 3239, 2230, 543, 538, 519, 3239, 2230, 2073, 606, 3413, 710, 11837, 568, 7768, 540, 513, 5276, 7004, 543, 513, 6252, 6521, 609, 2463, 547, 713, 11282, 1062, 1547, 634, 5276, 7004, 666, 1287, 581, 2854, 607, 513, 5119, 268, 19066, 1587, 543, 519, 3413, 710, 7004, 2164, 689, 519, 5119, 630, 1492, 11837, 5119, 3738, 543, 519, 12761, 6152, 2433, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 24995, 3189, 4159, 5882, 535, 4151, 12276, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 10592, 21851, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 815, 589, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 3686, 1341, 11513, 1654, 322, 2715, 339, 3686, 10592, 763, 11282, 10321, 543, 616, 6241, 10321, 538, 713, 10035, 543, 1683, 519, 3413, 710, 10974, 540, 519, 2990, 10321, 540, 513, 18634, 1448, 610, 606, 3239, 1448, 269, 634, 1297, 540, 9343, 540, 519, 5119, 568, 3160, 547, 519, 10155, 540, 519, 2230, 538, 799, 568, 3254, 630, 9792, 540, 2418, 1070, 519, 1297, 540, 922, 9587, 568, 3160, 547, 519, 10155, 540, 519, 13269, 2230, 1547, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 6525, 3189, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 6525, 3189, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 32556, 763, 10155, 540, 519, 3239, 2230, 540, 519, 3413, 710, 11837, 568, 3160, 547, 519, 7584, 540, 519, 11837, 5119, 1547, 12276, 4159, 5882, 535, 630, 3189, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 16585, 6525, 3189, 4159, 5882, 589, 10592, 1103, 519, 2013, 540, 606, 3413, 710, 1582, 2173, 6260, 540, 606, 3413, 710, 2230, 267, 1152, 835, 3413, 710, 11282, 1062, 568, 5697, 267, 519, 11282, 10321, 543, 3976, 9305, 547, 519, 1482, 11282, 1062, 267, 519, 11837, 5119, 568, 4009, 267, 1775, 4318, 269, 670, 269, 519, 1297, 540, 9343, 543, 9587, 568, 519, 1482, 269, 769, 713, 2796, 267, 621, 568, 1455, 547, 2697, 519, 3413, 710, 2230, 609, 519, 2404, 6152, 2230, 540, 519, 771, 2897, 906, 269, 769, 713, 2631, 267, 519, 3413, 710, 1582, 21553, 1137, 1331, 782, 5276, 7851, 630, 5976, 16532, 543, 7110, 873, 609, 513, 8144, 5057, 269, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 6525, 3189, 4159, 5882, 535, 630, 3189, 1654, 322, 2715, 343, 3686, 264, 6525, 3189, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 815, 476, 271, 10592, 2304, 3413, 710, 1582, 2173, 6260, 568, 606, 25505, 952, 543, 1152, 952, 519, 24572, 540, 519, 11837, 5119, 568, 711, 3160, 547, 476, 271, 269, 12276, 4159, 5882, 589, 10592, 2162, 13067, 15119, 10974, 543, 6905, 11837, 5119, 692, 2252, 24267, 3413, 710, 10974, 616, 5697, 585, 519, 6041, 1312, 538, 519, 3312, 3239, 2230, 543, 538, 519, 3239, 2230, 2073, 1287, 519, 12761, 6152, 666, 581, 5916, 609, 519, 11837, 5119, 547, 1106, 606, 6905, 11837, 5119, 2433, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 24995, 3189, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 273, 22288, 12276, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 6525, 3189, 4159, 5882, 589, 4151, 12276, 4159, 5882, 589, 9041, 11513, 2979, 3944, 2715, 10339, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 10592, 21851, 4159, 5882, 589, 9041, 11513, 2979, 3944, 2715, 518, 342, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 815, 11513, 2253, 2715, 335, 9795, 348, 589, 1299, 11513, 1654, 322, 2715, 339, 3686, 8607, 11513, 1654, 322, 2715, 334, 3686, 9745, 11513, 267, 570, 348, 1299, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 267, 4151, 3602, 519, 1098, 12723, 4642, 6152, 568, 538, 519, 6152, 2230, 602, 12851, 547, 269, 21851, 4159, 5882, 11513, 1654, 322, 2715, 334, 3686, 9745, 11513, 267, 570, 22288, 12276, 4159, 5882, 11513, 2979, 5632, 2715, 288, 3686, 9041, 2715, 272, 32556, 763, 11837, 3830, 1287, 14509, 585, 24267, 11282, 10321, 692, 21851, 4159, 5882, 535, 318, 2715, 327, 348, 630, 3189, 1654, 322, 2715, 343, 318, 2715, 327, 3686, 16585, 815, 589, 9041, 11513, 2979, 3944, 2715, 10339, 3686, 630, 288, 267, 11513, 1654, 322, 2715, 339, 3686, 264, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 318, 2715, 327, 3686, 31998, 16859, 1103, 713, 6041, 540, 519, 6905, 5119, 267, 606, 3606, 11282, 568, 3773, 547, 519, 6241, 6152, 607, 513, 4630, 4094, 1944, 11282, 2433, 12276, 4159, 5882, 1535, 318, 2715, 333, 1341, 476, 272, 24995, 3189, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 10592, 21851, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 327, 348, 815, 11513, 2253, 2715, 335, 9795, 348, 11513, 1654, 322, 2715, 343, 3686, 8607, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 31859, 1607, 6041, 998, 24267, 10974, 666, 581, 14648, 607, 606, 32750, 540, 519, 3413, 710, 2230, 538, 513, 1788, 633, 2230, 540, 519, 1482, 10155, 269, 3973, 519, 24267, 10974, 616, 547, 581, 6956, 607, 1788, 633, 10974, 16317, 1012, 19032, 540, 7077, 3413, 514, 885, 692, 288, 742, 514, 885, 616, 3622, 21630, 2687, 547, 875, 1082, 6378, 2798, 789, 723, 269, 901, 849, 10039, 952, 519, 3413, 710, 2230, 814, 811, 982, 1079, 7516, 269, 589, 1448, 568, 513, 6378, 1448, 952, 621, 568, 25528, 5196, 3294, 998, 25505, 269, 769, 519, 11282, 6041, 596, 666, 3313, 519, 11282, 6152, 540, 513, 6378, 1448, 676, 6061, 519, 1062, 540, 4834, 1547, 8074, 602, 6378, 2798, 666, 849, 2291, 256, 12276, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 24995, 3189, 4159, 5882, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 348, 910, 288, 1422, 524, 25346, 11513, 1654, 322, 2715, 343, 3686, 9041, 2715, 335, 348, 815, 11513, 1654, 322, 2715, 339, 3686, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 1422, 683, 336, 476, 271, 10592, 272, 269, 31196, 25505, 281, 589, 7077, 25505, 538, 799, 4010, 835, 2786, 1899, 3788, 6378, 1448, 676, 1448, 267, 621, 568, 1572, 519, 7852, 540, 25505, 269, 1452, 1331, 19852, 2073, 15497, 8272, 337, 1681, 630, 18034, 7299, 7852, 8272, 337, 1681, 264, 543, 6252, 15198, 563, 273, 269, 10500, 6541, 609, 513, 4099, 630, 3844, 25505, 476, 2567, 606, 25505, 538, 799, 4010, 835, 1448, 3788, 6378, 267, 519, 4099, 540, 519, 25505, 269, 1452, 1331, 519, 10047, 10137, 630, 5976, 519, 2027, 2665, 1298, 878, 10137, 267, 10047, 543, 1448, 8086, 1070, 519, 19852, 10137, 543, 519, 25586, 25505, 269, 21851, 4159, 5882, 2098, 21456, 274, 269, 10500, 514, 885, 1510, 513, 6378, 1448, 281, 1452, 616, 519, 6986, 771, 2897, 906, 543, 20422, 4291, 1903, 540, 606, 7852, 25505, 543, 513, 12761, 630, 9917, 541, 609, 12761, 538, 513, 4287, 1114, 689, 519, 7852, 4287, 610, 6252, 15198, 1315, 21933, 1664, 8086, 609, 513, 12761, 538, 519, 4287, 540, 519, 7852, 6393, 763, 8760, 568, 4843, 538, 811, 1469, 543, 20902, 547, 2362, 7516, 538, 519, 1292, 2376, 10500, 6541, 630, 12385, 24136, 264, 16317, 2162, 16453, 1106, 540, 519, 11282, 6041, 585, 7077, 3413, 514, 885, 692, 288, 7077, 25505, 568, 4547, 547, 3339, 1106, 676, 7446, 513, 5078, 3413, 710, 1448, 3490, 585, 922, 11282, 6041, 269, 1280, 713, 3483, 267, 16382, 2009, 267, 519, 5169, 540, 519, 11282, 1062, 568, 5116, 538, 513, 6378, 1448, 543, 519, 17887, 540, 519, 11282, 1062, 538, 519, 4287, 540, 6378, 3515, 1547, 634, 1739, 3339, 3029, 3180, 585, 3413, 514, 885, 538, 519, 1483, 3413, 710, 7077, 269, 769, 519, 2013, 540, 513, 6378, 1448, 6954, 25505, 267, 538, 1840, 547, 519, 11837, 5119, 2073, 513, 12761, 6152, 568, 2838, 547, 4766, 519, 25505, 269, 12276, 4159, 5882, 589, 6525, 3189, 4159, 5882, 11513, 1654, 322, 2715, 339, 3686, 1422, 683, 336, 476, 271, 10592, 272, 269, 31196, 3413, 514, 885, 630, 1492, 6378, 1448, 568, 519, 1101, 3490, 1448, 1985, 547, 519, 5169, 476, 2567, 12276, 4159, 5882, 744, 815, 661, 318, 2715, 271, 24995, 3189, 4159, 5882, 661, 318, 2715, 272, 3686, 14204, 272, 269, 2701, 541, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 272, 8607, 476, 271, 1299, 476, 272, 1422, 1439, 2715, 335, 9795, 3686, 21456, 273, 269, 744, 4565, 1664, 8272, 337, 1681, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 910, 272, 1422, 1439, 2715, 335, 9795, 3686, 21456, 274, 269, 23155, 15198, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 513, 1422, 1439, 2715, 335, 9795, 3686, 282, 1422, 22712, 513, 285, 476, 271, 21456, 273, 269, 6239, 3413, 514, 885, 630, 1492, 6378, 1448, 568, 519, 5169, 282, 519, 8846, 540, 519, 14802, 27523, 540, 519, 5119, 949, 581, 6074, 607, 11282, 17887, 1547, 264, 12276, 4159, 5882, 589, 21456, 272, 269, 15585, 776, 15198, 568, 519, 15198, 3815, 543, 519, 10047, 5086, 267, 21851, 4159, 5882, 589, 815, 678, 1422, 524, 25346, 11513, 2253, 2715, 335, 9795, 348, 1422, 5430, 22570, 15254, 12978, 264, 1299, 910, 1422, 5609, 22570, 15254, 12978, 264, 8607, 315, 5609, 22570, 15254, 12978, 264, 1299, 1422, 5430, 22570, 15254, 12978, 264, 1422, 1439, 2715, 335, 9795, 3686, 267, 1422, 22712, 6525, 3189, 4159, 5882, 1923, 678, 1923, 6525, 3189, 4159, 5882, 1422, 15254, 12978, 21456, 273, 269, 2701, 541, 20436, 566, 12276, 4159, 5882, 589, 815, 11513, 2253, 2715, 335, 9795, 348, 513, 1299, 476, 272, 8607, 476, 271, 1299, 513, 1422 ]

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

[ 780, 3086, 3168, 811, 5702, 693, 519, 1964, 691, 2418, 681, 815, 2715, 274, 267, 476, 277, 267, 476, 1321, 267, 3267, 7684, 267, 630, 16694, 602, 519, 1964, 691, 2418, 616, 519, 3604, 3097, 24992, 519, 1964, 691, 2053, 267, 799, 19286, 919, 519, 5311, 570, 3799, 264, 3738, 649, 1294, 602, 519, 1964, 691, 2418, 2333, 2687, 547, 519, 3097, 613, 6248, 3126, 1384, 4449, 7386, 681, 3799, 264, 815, 476, 274, 16732, 273, 1262, 263, 333, 264, 13211, 4449, 7386, 562, 815, 476, 271, 267, 272, 267, 273, 267, 274, 267, 27250, 3086, 649, 786, 946, 519, 4341, 1871, 2999, 512, 630, 604, 1871, 815, 512, 267, 1287, 649, 616, 3274, 835, 1293, 2476, 689, 519, 1964, 691, 1871, 1070, 547, 454, 27463, 618, 519, 4831, 547, 519, 1985, 1964, 691, 1871, 269, 4495, 713, 2783, 14543, 630, 773, 269, 1871, 13843, 512, 1070, 1287, 649, 666, 2638, 3097, 1492, 1871, 676, 10203, 1524, 689, 519, 2063, 1964, 691, 1871, 1210, 519, 4341, 1384, 4449, 7386, 1130, 6025, 267, 562, 264, 815, 681, 3799, 264, 910, 630, 339, 910, 570, 3799, 264, 13211, 4449, 7386, 562, 815, 476, 271, 267, 272, 267, 273, 267, 274, 267, 27250, 901, 3762, 519, 1966, 540, 8159, 562, 267, 519, 1297, 540, 1964, 11301, 267, 607, 513, 1599, 540, 512, 269, 1284, 1223, 798, 713, 2555, 21154, 454, 630, 5408, 1554, 272, 23919, 1052, 6831, 3300, 318, 13440, 264, 855, 713, 568, 1939, 14260, 7199, 865, 3079, 649, 946, 513, 1247, 8520, 547, 17697, 569, 1293, 454, 519, 1297, 540, 1964, 11301, 607, 1279, 607, 1871, 2999, 512, 269, 901, 1247, 8520, 786, 2165, 3729, 607, 4166, 607, 1871, 3436, 512, 267, 693, 799, 1448, 649, 616, 454, 693, 519, 2063, 1964, 691, 942, 543, 519, 1297, 540, 23200, 540, 519, 1247, 8520, 568, 3160, 547, 562, 780, 8074, 602, 952, 649, 1376, 609, 681, 263, 271, 264, 815, 476, 274, 267, 1287, 14921, 519, 1964, 691, 1871, 676, 476, 273, 593, 1169, 21767, 540, 519, 1247, 8520, 568, 454, 9838, 547, 12719, 681, 3799, 1040, 8528, 11109, 2944, 713, 649, 666, 1631, 8399, 547, 5173, 519, 1871, 693, 512, 676, 15663, 602, 1384, 14030, 567, 512, 910, 570, 3799, 264, 815, 512, 910, 476, 272, 910, 681, 3799, 268, 272, 2020, 3383, 267, 8528, 4449, 7386, 1130, 6025, 19885, 264, 815, 570, 3799, 264, 910, 512, 1341, 476, 272, 1341, 681, 3799, 268, 272, 2020, 6518, 568, 3927, 1018, 649, 798, 538, 519, 2063, 1900, 780, 20701, 26611, 16535, 270, 7090, 692, 5814, 19523, 454, 339, 815, 703, 263, 3863, 17750, 31156, 258, 1305, 519, 1376, 1871, 547, 476, 271, 865, 602, 519, 2783, 568, 2141, 3020, 585, 1022, 8870, 512, 3436, 476, 272, 454, 1998, 815, 476, 271, 692, 258, 6969, 519, 1247, 8520, 267, 519, 1297, 540, 1964, 11301, 568, 476, 271, 543, 681, 263, 271, 264, 815, 476, 274, 454, 10113, 318, 6135, 691, 26371, 815, 476, 274, 692, 258, 2638, 952, 649, 616, 538, 519, 1293, 6658, 6712, 267, 26759, 950, 1871, 2999, 512, 454, 6112, 1130, 2999, 512, 912, 825, 1948, 27261, 519, 1871, 676, 681, 5332, 865, 602, 519, 1247, 8520, 17697, 569, 12523, 519, 1297, 540, 1964, 11301, 454, 825, 1130, 6834, 1985, 318, 6135, 691, 26371, 454, 825, 1948, 17697, 569, 5173, 519, 1985, 1964, 691, 1871, 1210, 519, 1297, 540, 23200, 540, 519, 1247, 8520, 454, 825, 1985, 318, 6135, 691, 26371, 2608, 284, 476, 273, 7531, 258, 950, 519, 1247, 8520, 2165, 7149, 267, 649, 786, 723, 18886, 519, 1985, 1964, 691, 1871, 1310, 512, 267, 865, 979, 1394, 547, 519, 2063, 1964, 691, 1871, 454, 18431, 318, 6135, 691, 26371, 815, 1985, 318, 6135, 691, 26371, 270, 273, 454, 258, 2991, 519, 1247, 8520, 2165, 7149, 267, 1871, 568, 2965, 3160, 547, 519, 2040, 540, 782, 519, 1964, 691, 2418, 267, 865, 649, 4894, 519, 2063, 1964, 691, 1871, 799, 649, 723, 936, 28029, 539, 454, 1998, 815, 1130, 910, 2063, 318, 6135, 691, 26371, 692, 258, 4063, 602, 693, 713, 1448, 1130, 568, 8200, 593, 562, 543, 711, 593, 512, 3294, 267, 865, 1631, 649, 946, 519, 2063, 3830, 1657, 547, 5173, 1130, 607, 513, 1599, 540, 512, 454, 29390, 1998, 815, 1130, 910, 512, 1341, 476, 272, 1341, 2063, 318, 6135, 691, 26371, 692, 2745, 1130, 19638, 0, 5035, 570, 4471, 17045, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 18244, 815, 1496, 14085, 30297, 2918, 454, 1038, 1582, 269, 754, 815, 8771, 7531, 5035, 570, 4471, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 570, 4471, 17045, 10797, 825, 1219, 7696, 4311, 267, 1883, 2187, 1038, 3343, 815, 1582, 269, 10174, 454, 1038, 585, 669, 538, 1883, 912, 2018, 4994, 815, 3921, 263, 577, 9984, 867, 3488, 320, 5073, 2018, 952, 711, 3343, 269, 18244, 27709, 14158, 3546, 3343, 269, 18244, 27709, 316, 815, 570, 4471, 17045, 4590, 2018, 3343, 815, 3343, 269, 18244, 27709, 2639, 1038, 3343, 269, 754, 815, 6936, 692, 825, 1219, 3406, 4311, 267, 1883, 2187, 1038, 3343, 815, 1582, 269, 10174, 454, 1038, 585, 669, 538, 1883, 912, 2018, 4994, 815, 3921, 263, 577, 9984, 867, 3488, 320, 5073, 2018, 952, 711, 3343, 269, 18244, 27709, 14158, 3546, 2132, 8771, 454, 2018, 3343, 815, 3343, 269, 18244, 27709, 2639, 1038, 2132, 3343, 568, 711, 7183, 543, 3343, 269, 754, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 10569, 815, 22373, 1492, 2580, 834, 320, 2580, 834, 11004, 2580, 834, 11446, 933, 2580, 834, 1415, 20350, 2018, 834, 2421, 2580, 834, 26132, 31116, 825, 3977, 815, 22373, 8253, 1459, 538, 2468, 324, 20350, 23526, 834, 303, 6974, 538, 12483, 31116, 825, 512, 815, 570, 4471, 4590, 825, 585, 1883, 538, 10569, 912, 1038, 512, 27044, 31107, 2020, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 1492, 2580, 3977, 314, 339, 269, 14142, 2891, 1492, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 28205, 2580, 3977, 314, 339, 269, 14142, 2891, 28205, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 26132, 2580, 3977, 314, 339, 269, 14142, 2891, 26132, 8442, 28413, 825, 1820, 2891, 24001, 476, 955, 15079, 2668, 8971, 2891, 628, 1177, 2580, 3977, 314, 339, 269, 14142, 2891, 628, 1177, 8442, 8079, 2020, 0, 5228, 3595, 1104, 9605, 454, 5228, 17511, 1104, 5903, 692, 3698, 5173, 6958, 3241, 318, 10175, 318, 527, 1345, 9852, 817, 2187, 825, 2698, 815, 476, 271, 454, 825, 4492, 815, 2527, 454, 825, 1247, 4492, 3436, 476, 271, 912, 1038, 4492, 815, 5173, 6958, 3241, 6600, 3241, 994, 1038, 952, 4492, 3436, 476, 271, 281, 2698, 6834, 4492, 454, 825, 2132, 2698, 692, 3698, 5173, 6958, 3241, 9852, 817, 2187, 825, 2132, 2527, 12262, 476, 274, 910, 476, 273, 692, 3698, 1292, 6025, 652, 17750, 281, 5903, 27776, 316, 815, 1496, 16689, 1363, 1449, 4671, 13759, 281, 703, 815, 7183, 2187, 825, 952, 711, 1449, 17750, 912, 1038, 609, 1930, 3488, 907, 270, 323, 273, 270, 6358, 318, 6344, 273, 10807, 607, 535, 912, 2018, 3403, 815, 4786, 17301, 267, 535, 18667, 14061, 20889, 28361, 333, 29125, 825, 3116, 912, 1038, 3403, 815, 1449, 17750, 692, 825, 535, 23544, 815, 476, 271, 454, 825, 585, 544, 538, 3403, 912, 1038, 535, 815, 5173, 6958, 3241, 318, 10175, 318, 527, 1345, 9852, 994, 1038, 535, 23544, 6834, 535, 692, 825, 1820, 6600, 23544, 994, 825, 952, 1449, 4671, 13759, 568, 711, 7183, 912, 1038, 1820, 6600, 23544, 2652, 1449, 4671, 13759, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9605, 9852, 664, 994, 0, 3698, 3529, 10857, 8475, 267, 8371, 17342, 316, 2187, 825, 585, 7936, 538, 8371, 912, 1038, 7682, 568, 4671, 872, 263, 1962, 21123, 994, 825, 2132, 1496, 16932, 316, 1341, 1592, 263, 1962, 534, 2583, 2020, 3698, 6003, 6025, 872, 2187, 825, 2132, 3529, 314, 271, 6540, 3698, 8371, 6025, 872, 2187, 825, 2132, 3529, 314, 272, 281, 6540, 3698, 568, 4671, 872, 6025, 872, 2187, 825, 952, 1826, 6025, 872, 264, 11203, 1592, 610, 7003, 6025, 872, 2999, 476, 272, 2187, 1038, 2132, 8771, 454, 825, 585, 7936, 538, 8371, 6025, 872, 2187, 1038, 952, 711, 568, 4671, 872, 263, 1962, 21123, 2187, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 568, 318, 29566, 6025, 872, 2187, 825, 2132, 711, 8371, 6025, 872, 2020, 3698, 1293, 318, 548, 2314, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 476, 272, 454, 825, 2132, 2040, 8443, 12248, 318, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 3762, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 1496, 16932, 6025, 22708, 825, 2132, 2040, 8443, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 264, 3910, 1496, 20285, 3698, 27261, 318, 548, 2314, 6025, 2187, 825, 952, 568, 318, 29566, 6025, 2187, 1038, 2132, 3529, 10857, 8475, 6025, 264, 1341, 476, 272, 994, 825, 2132, 3529, 10857, 8475, 6025, 1070, 1496, 27463, 618, 318, 548, 2314, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 27261, 6025, 2187, 825, 2132, 3529, 10857, 8475, 6025, 264, 1341, 476, 272, 267, 1496, 27463, 618, 6357, 264, 585, 536, 538, 8371, 6025, 13580, 2020, 3698, 1820, 4671, 872, 6025, 267, 25034, 284, 271, 2187, 825, 1820, 3488, 476, 24003, 785, 550, 1341, 1193, 10857, 8475, 6025, 21875, 825, 585, 536, 538, 8371, 6025, 2187, 1038, 1820, 4671, 872, 6357, 267, 25034, 266, 272, 994, 8931, 0, 258, 5741, 25586, 476, 6795, 692, 3698, 7154, 263, 30084, 2187, 825, 5727, 8340, 338, 519, 7154, 630, 2865, 4122, 1624, 1005, 3693, 264, 540, 513, 1592, 270, 30084, 27969, 454, 825, 3193, 18045, 815, 476, 271, 454, 825, 7154, 27133, 815, 1305, 4590, 825, 585, 7127, 538, 5311, 912, 1038, 952, 5311, 29644, 263, 18782, 264, 3436, 3193, 18045, 912, 2018, 3193, 18045, 815, 5311, 29644, 263, 18782, 994, 825, 585, 7127, 538, 5311, 912, 1038, 952, 5311, 29644, 263, 18782, 264, 2652, 3193, 18045, 912, 2018, 7154, 27133, 815, 7154, 27133, 1923, 2715, 18782, 8679, 825, 2132, 7154, 27133, 692, 5976, 1930, 2891, 6795, 2275, 8327, 17902, 14824, 337, 8442, 607, 29905, 17750, 912, 825, 29905, 815, 1496, 454, 1038, 703, 263, 18782, 264, 585, 7127, 538, 29905, 17750, 18667, 1467, 14061, 29328, 28361, 333, 262, 1040, 20889, 263, 3299, 5073, 825, 476, 6540, 322, 8327, 318, 8145, 318, 271, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 271, 2639, 322, 8327, 318, 8145, 318, 272, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 272, 2639, 322, 8327, 318, 8145, 318, 273, 815, 1496, 322, 8327, 14728, 316, 585, 795, 538, 2039, 263, 6344, 272, 264, 952, 795, 4939, 476, 274, 2652, 476, 273, 6540, 258, 1820, 9852, 1712, 6262, 8327, 318, 8145, 318, 271, 1070, 7154, 6262, 8327, 318, 8145, 318, 272, 1070, 7154, 6262, 8327, 318, 8145, 318, 273, 4917, 258, 476, 10170, 267, 476, 8064, 267, 476, 6924, 6606, 692, 258, 1820, 263, 867, 3488, 1412, 4297, 1948, 476, 3953, 692, 10139, 5320, 815, 1496, 10170, 9745, 476, 3953, 267, 476, 8064, 9745, 476, 3953, 267, 476, 6924, 9745, 476, 3953, 2639, 10139, 5320, 23952, 815, 15234, 692, 1721, 7127, 538, 10957, 912, 825, 10957, 23952, 6834, 669, 337, 263, 18782, 2020, 2745, 9638, 817, 5320, 23952, 2020, 332, 20687, 23952, 815, 15234, 692, 1721, 795, 538, 2039, 12759, 6262, 8327, 15892, 825, 5048, 23952, 6834, 669, 337, 6262, 8327, 14728, 316, 9745, 10957, 14728, 4939, 476, 274, 20285, 2745, 9852, 20687, 23952, 2020, 1492, 23544, 815, 476, 271, 454, 1721, 1347, 538, 5048, 23952, 912, 825, 519, 23544, 6834, 3921, 263, 10420, 2020, 2745, 263, 1492, 23544, 264, 1948, 476, 13040, 3374, 280, 454, 0, 258, 5741, 25586, 476, 8618, 692, 5814, 621, 1068, 8962, 692, 3698, 21657, 4689, 4433, 19885, 2187, 825, 5727, 14303, 5281, 519, 32671, 521, 3766, 4689, 1297, 27969, 454, 825, 2132, 630, 333, 1262, 273, 2608, 630, 338, 910, 476, 273, 264, 910, 562, 2608, 630, 338, 910, 476, 275, 4297, 12262, 476, 273, 692, 18851, 29991, 519, 4143, 521, 3766, 4689, 2338, 27969, 692, 258, 585, 521, 538, 2039 ]

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

[ 1292, 8371, 540, 6683, 4702, 12077, 281, 16581, 630, 290, 1886, 264, 6713, 1299, 5253, 7177, 267, 12426, 7557, 10320, 1299, 5295, 7177, 267, 7054, 3419, 566, 1299, 667, 1778, 720, 7177, 543, 14606, 4826, 11094, 7177, 269, 2859, 5693, 267, 621, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 547, 1118, 8105, 4443, 267, 811, 3608, 543, 811, 19311, 998, 519, 1374, 543, 1646, 540, 1007, 6694, 12227, 543, 998, 10124, 538, 12555, 1949, 267, 1379, 1949, 267, 1216, 543, 3037, 5726, 267, 3092, 269, 769, 2110, 267, 713, 4110, 1576, 5631, 6212, 593, 519, 1353, 540, 519, 3498, 540, 519, 2035, 543, 2553, 540, 1585, 4610, 540, 4702, 547, 519, 3070, 540, 2042, 16109, 538, 519, 2361, 540, 6683, 543, 6917, 2713, 269, 634, 8653, 540, 519, 1576, 568, 1079, 1296, 543, 519, 1576, 568, 606, 1271, 543, 3407, 602, 568, 849, 4876, 7259, 532, 538, 2470, 563, 1432, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 888, 5415, 5693, 267, 621, 568, 519, 1353, 540, 7311, 4702, 3741, 547, 519, 1426, 543, 6694, 6080, 547, 1118, 8105, 4443, 267, 811, 3608, 543, 811, 19311, 998, 519, 1374, 543, 1646, 540, 1007, 6694, 12227, 543, 998, 10124, 538, 12555, 1949, 2073, 1379, 1949, 267, 1216, 543, 3037, 5726, 2073, 3092, 563, 1432, 4110, 798, 7344, 8030, 991, 888, 9288, 22817, 8030, 723, 693, 5934, 5833, 513, 20277, 779, 4110, 538, 7344, 4702, 563, 1432, 568, 7344, 4702, 888, 9288, 22817, 8030, 616, 3238, 609, 519, 5108, 267, 3892, 267, 543, 946, 540, 1648, 269, 901, 1223, 581, 607, 513, 851, 519, 1852, 543, 12957, 540, 5663, 1949, 267, 519, 1374, 543, 1646, 540, 6191, 610, 519, 3435, 547, 2825, 2042, 563, 7712, 713, 568, 513, 623, 294, 1576, 267, 25328, 779, 23422, 538, 645, 9950, 32220, 289, 11053, 3663, 269, 16581, 7177, 568, 2838, 563, 9928, 2100, 267, 16763, 3255, 543, 6428, 776, 3877, 454, 3080, 949, 6443, 11982, 3493, 25902, 540, 1114, 3557, 22749, 269, 1358, 949, 3362, 2244, 20229, 779, 9708, 538, 713, 8257, 269, 18766, 689, 602, 267, 824, 6554, 3493, 25902, 1141, 20021, 949, 1265, 6009, 616, 268, 5253, 4972, 267, 3194, 3493, 25902, 267, 4144, 776, 4425, 1841, 267, 6554, 30793, 2471, 630, 553, 17976, 337, 264, 3092, 269, 0, 26199, 2012, 29325, 24247, 454, 295, 27941, 8760, 26054, 4054, 454, 30054, 1077, 28944, 3657, 8619, 13869, 267, 29325, 24247, 1232, 776, 328, 267, 29325, 24247, 1232, 760, 16772, 267, 29325, 24247, 14834, 698, 2444, 926, 18424, 267, 29325, 24247, 533, 655, 3316, 320, 2008, 21698, 19348, 13869, 610, 10085, 24247, 561, 2373, 322, 839, 610, 11344, 29647, 13869, 610, 18173, 13869, 454, 291, 344, 24247, 568, 513, 12593, 540, 15496, 2371, 538, 519, 3657, 322, 19687, 1920, 269, 1358, 616, 28795, 267, 28033, 27374, 609, 5835, 5810, 5645, 538, 3443, 2873, 10838, 519, 533, 4883, 622, 3762, 269, 3509, 29325, 24247, 2249, 723, 19666, 4839, 4221, 630, 629, 913, 519, 1292, 17657, 1070, 513, 4686, 2208, 4356, 1851, 27374, 269, 2368, 723, 2261, 806, 1417, 3762, 602, 2611, 7923, 1310, 2669, 543, 15972, 16445, 585, 5567, 563, 268, 10326, 19348, 13869, 610, 10085, 24247, 561, 2373, 322, 839, 610, 11344, 29647, 13869, 610, 18173, 13869, 454, 268, 3657, 8619, 13869, 10085, 24247, 561, 2373, 322, 839, 18173, 13869, 454, 763, 29721, 568, 21372, 855, 949, 581, 1644, 547, 519, 5259, 10085, 696, 334, 2048, 296, 4685, 685, 610, 10085, 696, 525, 2048, 323, 1853, 9957, 634, 2249, 616, 5065, 547, 25157, 267, 28801, 267, 543, 1585, 10195, 538, 519, 4095, 7909, 630, 300, 4768, 527, 3780, 543, 1290, 528, 657, 1040, 589, 1906, 616, 2067, 1242, 538, 824, 4525, 267, 2523, 538, 519, 12144, 269, 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 2690, 4548, 543, 5717, 912, 10048, 783, 338, 543, 4704, 2835, 912, 10574, 689, 27861, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 9213, 267, 972, 616, 1082, 1114, 2010, 540, 22763, 2139, 267, 4470, 593, 2436, 596, 616, 13389, 1072, 1416, 267, 6604, 267, 610, 948, 609, 7067, 563, 300, 4215, 7732, 5851, 8525, 29434, 16648, 857, 7846, 454, 22238, 7821, 2452, 16237, 1492, 985, 519, 4761, 1062, 267, 7472, 15084, 6438, 6878, 267, 6971, 519, 1981, 540, 2022, 1673, 1047, 848, 12687, 6888, 609, 513, 32714, 267, 865, 621, 781, 26656, 547, 948, 519, 3919, 1729, 1205, 856, 540, 513, 2068, 5488, 563, 7712, 476, 3583, 2600, 540, 938, 4761, 1062, 1568, 538, 938, 4835, 1062, 267, 621, 568, 1360, 1434, 585, 519, 1560, 547, 948, 596, 4308, 609, 606, 11371, 31335, 269, 11525, 7821, 5968, 609, 9726, 14231, 543, 948, 873, 5391, 4733, 543, 3132, 12192, 918, 543, 12192, 645, 563, 12901, 756, 7821, 6146, 12725, 538, 519, 16892, 2394, 789, 616, 12842, 269, 898, 568, 4502, 2921, 513, 32714, 1310, 10338, 267, 799, 1797, 476, 273, 268, 274, 3108, 1310, 519, 15084, 269, 1403, 596, 6336, 621, 1101, 267, 519, 15084, 849, 30001, 519, 9241, 3144, 22763, 269, 898, 568, 19624, 547, 3136, 2921, 22763, 585, 835, 3018, 1310, 707, 15084, 7181, 256, 15446, 327, 584, 1206, 5627, 22763, 789, 616, 18886, 607, 6198, 3536, 543, 948, 538, 2635, 2713, 543, 2635, 4189, 267, 1247, 930, 3536, 2270, 1454, 2362, 2157, 540, 32714, 1543, 563, 288, 32714, 949, 948, 454, 4913, 267, 952, 2576, 568, 835, 689, 4576, 547, 6051, 1403, 596, 616, 1210, 32714, 5061, 267, 621, 568, 4502, 7446, 513, 3075, 1851, 1346, 945, 616, 10805, 630, 28205, 616, 849, 2139, 1510, 513, 13310, 8094, 12901, 756, 7821, 948, 519, 1560, 547, 6146, 519, 4551, 602, 616, 4929, 519, 2068, 267, 855, 713, 849, 1797, 602, 649, 616, 849, 11318, 3730, 4551, 269, 1358, 948, 609, 519, 32543, 3174, 540, 22763, 543, 3274, 19582, 519, 9667, 1062, 585, 23633, 4551, 856, 540, 1747, 865, 789, 666, 7017, 972, 1447, 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 ]

[ 666, 2063, 909, 476, 1911, 267, 1822, 3108, 269, 769, 824, 1913, 267, 606, 590, 13270, 10896, 666, 1683, 811, 982, 476, 1556, 1296, 540, 6024, 8654, 269, 3958, 267, 10896, 8279, 4465, 1406, 6633, 856, 899, 1651, 663, 27853, 1769, 15620, 8259, 3978, 8800, 3441, 4386, 269, 634, 21386, 540, 606, 10896, 666, 267, 2705, 267, 7930, 28201, 563, 1432, 568, 519, 3017, 1063, 10896, 543, 590, 13270, 10896, 888, 20175, 10896, 15620, 610, 1524, 7547, 2356, 2270, 476, 274, 610, 476, 275, 1164, 13324, 10896, 13365, 799, 9192, 547, 1711, 513, 5059, 11237, 540, 1769, 267, 2356, 609, 513, 476, 1839, 610, 476, 2412, 4110, 11237, 5086, 269, 590, 13270, 10896, 15620, 616, 1500, 909, 540, 513, 12440, 540, 1360, 1507, 10896, 13365, 267, 2356, 1472, 476, 736, 829, 15941, 563, 1692, 568, 590, 13270, 10896, 2450, 6027, 888, 306, 13270, 27178, 267, 899, 3044, 27178, 267, 616, 2139, 538, 1114, 7306, 269, 476, 272, 7825, 547, 476, 275, 7825, 855, 789, 5749, 1406, 15951, 899, 602, 269, 6145, 1034, 590, 13270, 3334, 267, 789, 616, 4857, 538, 2450, 2338, 269, 634, 2338, 616, 5462, 676, 654, 5954, 630, 514, 2583, 264, 16611, 676, 20099, 630, 514, 2583, 264, 21411, 2614, 609, 590, 13270, 563, 7617, 568, 17321, 10896, 476, 31746, 271, 610, 476, 31134, 279, 888, 8245, 2952, 2322, 267, 891, 10896, 13365, 616, 1572, 590, 13270, 476, 31746, 271, 1317, 519, 7516, 540, 519, 13365, 616, 476, 276, 269, 271, 7825, 1535, 476, 276, 269, 271, 7825, 269, 1358, 723, 476, 274, 10896, 1019, 3941, 538, 835, 8027, 630, 27271, 1572, 2468, 7302, 2354, 1070, 543, 616, 513, 2603, 17321, 982, 1367, 476, 31134, 279, 10896, 13365, 563, 1692, 1082, 2010, 540, 590, 13270, 10896, 616, 972, 888, 306, 13270, 630, 306, 16577, 6778, 667, 1675, 324, 264, 634, 2010, 540, 590, 13270, 10896, 3525, 2737, 616, 13747, 676, 519, 7516, 540, 519, 10896, 13365, 269, 5871, 2010, 616, 476, 31746, 271, 590, 13270, 10896, 267, 476, 31134, 279, 590, 13270, 10896, 267, 476, 27543, 276, 590, 13270, 10896, 563, 1692, 798, 594, 917, 952, 1250, 10896, 568, 590, 13270, 888, 2467, 616, 1114, 2010, 540, 590, 13270, 27178, 267, 543, 1142, 14583, 568, 4857, 676, 513, 3126, 540, 2338, 602, 5581, 922, 2450, 543, 2404, 21386, 1377, 269, 634, 10896, 8446, 1297, 14687, 547, 519, 2450, 540, 519, 13863, 3294, 267, 6829, 538, 1984, 22015, 637, 563, 1432, 568, 519, 6453, 540, 590, 13270, 10896, 888, 347, 5825, 720, 270, 32101, 1475, 14197, 20828, 31786, 2008, 347, 32101, 1475, 12564, 8752, 267, 10896, 10089, 321, 267, 19937, 8752, 2008, 7617, 568, 1732, 476, 31134, 279, 610, 476, 31746, 271, 888, 4407, 519, 476, 31746, 271, 13863, 666, 581, 1031, 538, 2582, 2681, 3156, 267, 649, 723, 1336, 519, 476, 31746, 271, 27178, 547, 581, 1732, 585, 519, 681, 16412, 543, 519, 476, 31134, 279, 590, 13270, 27178, 538, 1164, 5860, 1732, 585, 2582, 2681, 3156, 269, 1358, 616, 1572, 590, 13270, 31134, 279, 1317, 519, 10155, 540, 519, 13863, 568, 476, 274, 269, 276, 7825, 2608, 476, 273, 269, 279, 7825, 563, 7617, 568, 17321, 476, 31746, 271, 610, 476, 6321, 274, 271, 888, 763, 476, 31746, 271, 543, 476, 6321, 274, 271, 590, 13270, 27178, 616, 1079, 2010, 540, 590, 13270, 27178, 4122, 1031, 538, 1753, 543, 5010, 8654, 269, 589, 476, 31746, 271, 10896, 26534, 786, 22113, 519, 6697, 540, 827, 476, 1240, 561, 636, 839, 269, 476, 6321, 274, 271, 568, 17321, 982, 476, 31746, 271, 267, 865, 621, 27499, 811, 26910, 720, 563, 1432, 568, 519, 3017, 1063, 590, 13270, 476, 31746, 271, 543, 590, 13270, 476, 31134, 279, 888, 1692, 1082, 2010, 540, 590, 13270, 27178, 616, 972, 888, 763, 2010, 540, 590, 13270, 10896, 3525, 2737, 616, 13747, 676, 519, 7516, 540, 519, 10896, 13365, 269, 5871, 2010, 616, 476, 31746, 271, 590, 13270, 10896, 267, 476, 31134, 279, 590, 13270, 10896, 267, 476, 27543, 276, 590, 13270, 10896, 563, 1432, 568, 590, 13270, 10896, 888, 306, 13270, 6763, 585, 17183, 6778, 539, 27620, 267, 590, 13270, 10896, 568, 513, 10189, 1826, 540, 10896, 3812, 676, 1210, 2627, 2173, 870, 2029, 630, 15551, 307, 264, 547, 4410, 10896, 13365, 593, 9102, 5547, 12545, 630, 15425, 289, 1040, 590, 13270, 10896, 814, 1082, 2010, 267, 6518, 616, 3812, 538, 513, 3099, 540, 5546, 543, 7306, 32586, 1034, 1455, 2010, 540, 27178, 616, 281, 476, 27543, 276, 267, 476, 31134, 279, 267, 476, 23714, 271, 267, 476, 24062, 271, 267, 476, 31874, 276, 267, 476, 22145, 275, 267, 476, 25002, 275, 267, 476, 31746, 271, 267, 476, 2004, 277, 271, 267, 476, 6872, 274, 271, 563, 1432, 616, 519, 1114, 2010, 540, 590, 13270, 888, 17780, 593, 519, 11183, 31455, 267, 590, 13270, 666, 581, 5258, 883, 1079, 6688, 281, 519, 8863, 7709, 1826, 543, 519, 570, 8008, 1826, 269, 634, 8863, 7709, 11183, 31455, 568, 513, 6366, 2497, 267, 3335, 1500, 540, 20111, 267, 1500, 998, 15441, 27575, 609, 9044, 10296, 267, 543, 3684, 2759, 563, 9989, 3751, 1962, 697, 2709, 590, 13270, 10896, 2472, 888, 21914, 1962, 697, 3091, 513, 5542, 540, 590, 13270, 27178, 602, 616, 2966, 547, 2743, 519, 16551, 540, 707, 3498, 269, 3776, 590, 13270, 10896, 1587, 5356, 568, 1034, 4122, 1031, 585, 15409, 3457, 267, 2754, 7082, 11418, 267, 4853, 1688, 18988, 3457, 543, 811, 269, 13555, 3751, 1962, 697, 2221, 585, 811, 1344, 827, 519, 2472, 2630, 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 ]

[ 513, 4759, 540, 1010, 1362, 267, 945, 21783, 609, 1362, 26549, 543, 13604, 2968, 513, 4116, 540, 6128, 538, 519, 9872, 936, 799, 1200, 9393, 1095, 3660, 269, 589, 3811, 1974, 693, 713, 30028, 8118, 519, 1259, 547, 513, 2362, 1289, 267, 543, 6004, 269, 543, 11427, 269, 853, 1737, 2006, 4682, 547, 2961, 8175, 12054, 2435, 543, 16453, 3427, 538, 22548, 542, 267, 12425, 269, 1358, 7283, 538, 5279, 540, 713, 9872, 540, 1565, 585, 1614, 1296, 267, 2394, 267, 1072, 14053, 513, 1689, 540, 960, 585, 1312, 267, 789, 5828, 741, 8188, 4724, 19578, 267, 519, 1533, 540, 741, 10073, 267, 543, 538, 476, 6942, 274, 6004, 269, 853, 1737, 2006, 11751, 519, 14642, 576, 7637, 13329, 514, 601, 267, 799, 646, 12995, 2394, 646, 12349, 519, 595, 6135, 517, 30657, 8291, 538, 476, 6942, 278, 269, 4438, 1010, 4276, 609, 519, 14642, 576, 7637, 13329, 514, 601, 267, 646, 729, 11221, 8664, 15518, 622, 689, 519, 1530, 22770, 6837, 1308, 8664, 547, 519, 17044, 2817, 13482, 267, 799, 1558, 538, 595, 32385, 10620, 538, 476, 6942, 277, 563, 3891, 11262, 543, 12995, 519, 595, 6135, 517, 30657, 8291, 585, 5722, 1296, 267, 543, 1282, 602, 942, 8547, 519, 11545, 30657, 8291, 269, 634, 595, 6135, 517, 11545, 543, 28315, 30657, 8291, 267, 896, 1010, 2359, 267, 2919, 883, 835, 540, 519, 1034, 25133, 11356, 2371, 538, 519, 1533, 543, 5833, 513, 31449, 1851, 15769, 799, 621, 814, 2479, 2094, 9738, 269, 769, 476, 6642, 275, 6004, 269, 853, 1737, 2006, 12349, 606, 1719, 538, 519, 7027, 18671, 742, 338, 6348, 6768, 559, 269, 901, 1957, 646, 12995, 585, 1896, 1296, 267, 1427, 3931, 1152, 950, 7142, 547, 798, 865, 676, 15176, 1072, 269, 4438, 519, 1296, 646, 729, 4448, 609, 519, 14642, 576, 7637, 13329, 514, 601, 267, 519, 595, 6135, 517, 30657, 8291, 543, 519, 7027, 18671, 742, 338, 6348, 335, 926, 601, 267, 646, 729, 8362, 7722, 593, 519, 588, 2794, 538, 1169, 2797, 5859, 267, 1312, 3084, 543, 1533, 269, 3571, 3742, 960, 607, 513, 4759, 540, 519, 9835, 8136, 540, 519, 6243, 1500, 1864, 513, 2442, 11134, 585, 4972, 2155, 6387, 540, 602, 1390, 3919, 269, 769, 476, 6245, 273, 646, 729, 11221, 547, 713, 1164, 3743, 5604, 267, 543, 865, 7561, 1705, 646, 11166, 1010, 11645, 602, 513, 5595, 16499, 11102, 729, 1655, 15735, 2390, 1864, 267, 835, 676, 1010, 635, 10232, 543, 835, 676, 519, 1533, 1958, 2086, 618, 269, 769, 476, 6245, 273, 6004, 269, 853, 1737, 2006, 729, 12912, 804, 17064, 540, 519, 2136, 2276, 8664, 5480, 585, 519, 7013, 8664, 540, 19578, 269, 6004, 269, 853, 1737, 2006, 814, 2141, 1044, 513, 14081, 534, 267, 7986, 538, 519, 5646, 15078, 540, 519, 5428, 543, 28165, 1317, 540, 1010, 2702, 547, 9718, 922, 3741, 267, 1312, 538, 519, 11356, 543, 593, 519, 588, 2794, 269, 1261, 814, 605, 4944, 1229, 20019, 543, 2221, 16034, 1851, 519, 4396, 543, 3811, 1870, 2367, 538, 19578, 563, 349, 335, 21242, 538, 476, 6245, 280, 454, 3528, 22186, 787, 333, 8065, 1923, 5988, 476, 1015, 267, 476, 1001, 271, 454, 763, 1739, 568, 606, 21626, 689, 3778, 540, 661, 4471, 10985, 630, 5002, 278, 264, 676, 26778, 20307, 674, 2784, 523, 15734, 269, 594, 993, 20171, 607, 851, 540, 1250, 1382, 538, 8159, 519, 4282, 540, 8585, 1097, 853, 1737, 2006, 267, 7385, 540, 19279, 8065, 269, 2701, 568, 1934, 782, 24231, 547, 267, 855, 711, 676, 2012, 269, 2701, 568, 11303, 676, 1004, 945, 616, 1034, 2693, 851, 540, 1200, 853, 1737, 2006, 1920, 267, 855, 594, 723, 2943, 547, 3313, 875, 563, 2005, 814, 1044, 15810, 602, 1352, 729, 851, 540, 519, 20182, 853, 1737, 2006, 1920, 538, 10557, 267, 7137, 802, 10921, 267, 12590, 543, 621, 814, 1044, 15810, 602, 1352, 568, 1644, 547, 519, 9478, 853, 1737, 2006, 1920, 267, 4651, 540, 667, 12447, 853, 1737, 2006, 269, 11569, 267, 602, 1920, 814, 513, 31473, 4276, 267, 543, 1920, 561, 648, 15387, 602, 8585, 1097, 1185, 513, 4276, 547, 519, 31473, 1920, 269, 1809, 267, 1287, 267, 865, 1281, 20182, 853, 1737, 2006, 538, 10790, 269, 6271, 23319, 1522, 581, 538, 519, 11944, 540, 3627, 7225, 5459, 853, 1737, 2006, 267, 945, 729, 27333, 689, 595, 3430, 541, 13774, 639, 6019, 267, 12924, 269, 589, 2104, 2022, 786, 1039, 811, 1469, 547, 519, 1272, 540, 3627, 7225, 5459, 853, 1737, 2006, 267, 945, 538, 476, 8146, 272, 729, 12912, 3791, 840, 12329, 540, 519, 21482, 573, 543, 25350, 18065, 267, 1310, 1373, 968, 935, 30062, 896, 519, 2978, 832, 540, 645, 20166, 269, 1773, 574, 17980, 538, 476, 9264, 275, 268, 1839, 3034, 263, 14532, 540, 661, 4471, 10985, 267, 674, 2784, 523, 15734, 994, 12218, 525, 5029, 1242, 693, 29457, 7702, 543, 4077, 23057, 1144, 267, 744, 454, 289, 650, 902, 744, 269, 1496, 302, 26385, 316, 1773, 574, 17980, 4646, 513, 1362, 538, 29457, 7702, 267, 11882, 267, 538, 476, 9264, 275, 267, 519, 544, 727, 1499, 540, 799, 3769, 667, 644, 2917, 670, 3326, 3563, 543, 7385, 267, 1234, 889, 523, 8361, 543, 7385, 267, 543, 12756, 674, 31867, 517, 563, 1103, 476, 9264, 275, 594, 571, 3798, 11276, 543, 9291, 902, 744, 269, 1773, 574, 17980, 267, 10707, 519, 1546, 518, 7615, 18065, 267, 4646, 513, 1362, 538, 519, 4884, 540, 4077, 23057, 1144, 267, 5800, 720, 267, 11882, 269, 634, 1739, 941, 519, 22082, 2818, 269, 19863, 3780, 3213, 324, 543, 7385, 267, 1520, 3534, 595, 269, 3213, 324, 543, 7385, 269, 8861, 595, 269, 3213, 324, 269, 1325, 15343, 639, 25930, 7773, 267, 19279, 8065, 543, 7385, 267, 3627, 7225, 5459, 853, 1737, 2006, 543, 11977, 853, 1737, 2006, 269, 11524, 941, 4166, 3773, 267, 1851, 7247, 616, 3957, 281, 667, 12447, 853, 1737, 2006, 267, 23846, 853, 1737, 2006, 267, 667, 1675, 4821, 853, 1737, 2006, 543, 519, 1079, 7323, 525, 8065, 269, 769, 5130, 476, 9264, 276, 267, 8176, 11875, 328, 2714, 267, 519, 3465, 4575, 26744, 267, 3357, 547, 3180, 513, 10116, 569, 5870, 267, 543, 729, 15189, 519, 946, 540, 519, 2370, 1153, 2777, 1317, 519, 968, 17812, 2958, 1049, 14012, 267, 2348, 519, 9510, 1318, 267, 10645, 621, 1848, 6004, 269, 11875, 328, 2714, 7608, 519, 2709, 540, 513, 28561, 269, 634, 6989, 729, 27206, 543, 1500, 6899, 585, 519, 2021, 267, 543, 513, 1906, 15985, 956, 540, 12450, 941, 16559, 593, 519, 2666, 538, 4395, 540, 519, 7450, 2390, 799, 2367, 1223, 1796, 269, 634, 5870, 729, 5918, 569, 4371, 267, 543, 6004, 269, 11875, 328, 2714, 840, 3737, 513, 11493, 28005, 517, 1996, 27869, 1143, 269, 898, 729, 5462, 547, 1628, 513, 5939, 267, 543, 2947, 3972, 4315, 941, 12912, 585, 602, 3483, 269, 1358, 5833, 513, 2603, 543, 25517, 513, 16517, 15839, 5939, 799, 729, 13026, 676, 519, 2486, 585, 1082, 1296, 269, 1635, 519, 2673, 540, 519, 1032, 789, 22921, 1063, 13977, 543, 17288, 2818, 269, 630, 294, 516, 1375, 267, 3778, 540, 6396, 1143, 267, 661, 4471, 10985, 267, 5292, 594, 267, 6032, 269, 476, 25546, 268, 13136, 994, 763, 1739, 568, 513, 7222, 21626, 689, 634, 3778, 540, 6396, 1143, 10738, 519, 21940, 2456, 540, 519, 661, 4471, 10985, 540, 519, 6396, 626, 9210, 4593, 29914, 5783, 269, 5292, 594, 630, 6942, 274, 264, 676, 15656, 13983, 1375, 630, 8687, 271, 268, 6942, 278, 994, 3725, 341, 269, 11619, 3464, 269, 3798, 11276, 543, 1773, 574, 17980, 267, 593, 519, 1546, 518, 7615, 18065, 267, 3964, 606, 13393, 538, 519, 4884, 540, 4077, 23057, 1144, 267, 5800, 720, 267, 11882, 1141, 513, 5556, 2958, 1049, 5783, 267, 6896, 538, 12590, 543, 1287, 576, 32164, 3603, 547, 713, 4884, 267, 4371, 3592, 19957, 32022, 267, 543, 941, 5462, 547, 1832, 519, 6396, 1235, 938, 1022, 6011, 269, 17652, 513, 25954, 540, 4984, 862, 10642, 267, 799, 4797, 998, 519, 5162, 267, 543, 8507, 538, 519, 5250, 540, 513, 1362, 9967, 540, 19863, 3780, 3213, 324, 543, 7385, 267, 19279, 8065, 543, 7385, 267, 8861, 595, 269, 3213, 324, 267, 3627, 7225, 5459, 853, 1737, 2006, 267, 11977, 853, 1737, 2006, 267, 543, 547, 713, 2370, 6512, 1866, 941, 4166, 3773, 267, 1851, 873, 667, 1675, 4821, 853, 1737, 2006, 543, 1079, 1762, 21031, 676, 519, 2012, 540, 8065, 7498, 5475, 1454, 7411, 789, 16309, 538, 3478, 513, 2603, 693, 519, 5045, 29891, 7944, 540, 519, 4009, 267, 593, 799, 789, 25517, 513, 16517, 2370, 15839, 5939, 2507, 7536, 265, 291, 12447, 853, 1737, 2006, 13478, 1540, 2006, 9310, 4223, 843, 320, 6478, 523, 269, 21452, 267, 741, 1453, 3769, 8361, 1773, 574, 17980, 853, 539, 2006, 630, 321, 269, 476, 4029, 4119, 476, 8146, 275, 1916, 265, 2704, 15343, 639, 25930, 7773, 9310, 2717, 569, 853, 539, 2006, 267, 11078, 540, 667, 12447, 853, 539, 2006, 269, 2717, 569, 853, 539, 2006, 568, 13006, 607, 1373, 689, 10790, 563, 265, 310, 20490, 853, 539, 2006, 729, 519, 7015, 540, 667, 12447, 853, 539, 2006, 563, 300, 3464, 269, 1520, 3534, 595, 269, 3213, 324, 568, 2398, 28619, 8065, 267, 1312, 689, 10790, 563, 3528, 22186, 787, 333, 8065, 1923, 5988, 476, 278, 267, 476, 1001, 271, 454, 2704, 15343, 639, 8065, 277, 630, 297, 657, 11672, 276, 267, 21280, 11672, 275, 267, 15656, 274, 267, 15656, 273, 267, 6723, 264, 729, 519, 5067, 540, 21280, 11672, 8065, 543, 10906, 15570, 1088, 543, 1390, 1178, 2738, 517, 540, 15656, 8065, 543, 8861, 29547, 269, 1261, 729, 4535, 538, 590, 12002, 267, 21086, 267, 593, 5147, 476, 2764, 267, 476, 12293, 277, 269, 2201, 5181, 476, 278, 267, 476, 9965, 280, 267, 538, 590, 12002, 646, 9310, 17555, 590, 10105, 267, 8250, 540, 1234, 889, 523, 590, 10105, 543, 11289, 995, 11370, 749, 269, 17555, 729, 4535, 476, 274, 4119, 269, 476, 12293, 280, 267, 865, 1352, 9310, 1175, 513, 3923, 1310, 1200, 476, 736, 628, 14512, 269, 1496, 23623, 781, 540, 590, 12002, 267, 11632, 267, 4446, 13118, 14635, 2639, 3528, 476, 9692, 279, 1325, 15343, 639, 1185, 6410, 1010, 1762, 1920, 689, 590, 12002, 547, 16441, 24546, 6019, 267, 1715, 3840, 267, 1141, 646, 729, 1500, 744, 2091, 518, 540, 4400, 1811, 543, 267, 1141, 646, 2663, 12349, 476, 3199, 14143, 593, 519, 7178, 2427, 540, 519, 16441, 24546, 5211, 538, 519, 16011, 540, 15593, 10767, 928, 267, 1631, 519, 16011, 540, 590, 3240, 337, 3534, 269, 1261, 729, 513, 16027, 269, 7731, 2245, 3081, 602, 519, 1657, 22269, 10571, 518, 3357, 689, 21086, 609, 1325, 15343, 639, 543, 1010, 1920, 269, 1879, 621, 729, 2016, 547, 803, 594, 1185, 621, 813, 571, 2213, 585, 6142, 543, 20240, 602, 621, 779, 6093, 540, 21086, 11647, 540, 602, 1974, 563, 2704, 15343, 639, 543, 17555, 1185, 476, 278, 1453, 282, 476, 277, 6690, 543, 513, 7911, 269, 1358, 7283, 538, 590, 3240, 337, 3534, 585, 519, 1964, 540, 741, 2729, 543, 5747, 972, 269, 17555, 5747, 593, 5147, 476, 1556, 267, 476, 9264, 276, 543, 1325, 15343, 639, 593, 5147, 476, 1321, 267, 476, 8146, 273, 269, 1358, 616, 12617, 538, 519, 23778, 6807, 22810, 30895, 563, 2691, 594, 3459, 10478, 585, 1250, 1920, 5072, 538, 476, 2735, 276, 267, 594, 4769, 1406, 917, 1454, 827, 5444, 30688, 1382, 865, 594, 22755, 547, 519, 28200, 538, 23778, 6807, 593, 513, 627, 574, 1317, 594, 6785, 602, 930, 540, 1250, 8065, 11937, 1185, 5030, 972, 269, 594, 6288, 539, 1250, 1286, 543, 15336, 2786, 547, 519, 30401, 540, 1325, 15343, 639, 543, 17555, 543, 741, 5067, 21125, 267, 689, 7247, 594, 6557, 26731, 256, 1684, 596, 1589, 938, 11937, 2285, 721, 10881, 865, 649, 666, 1265, 873, 286, 630, 3519, 14287, 267, 649, 782, 917, 602, 930, 11937, 12404, 782, 15244, 540, 2933, 8094, 3528, 22186, 787, 333, 8065, 1923, 5130, 476, 1015, 267, 476, 1001, 271, 454, 1103, 519, 2063, 8717, 594, 14059, 1250, 4651, 543, 4280, 1864, 547, 7119, 538, 519, 6216, 1007, 670, 17920, 5027, 5741, 269, 18833, 875, 1271, 1250, 1382, 729, 547, 519, 1920, 646, 5612, 8815, 269, 4935, 1250, 4651, 2968, 519, 1101, 16045, 538, 713, 1788, 269, 5221, 5027, 2257, 729, 538, 922, 26638, 594, 1500, 513, 8990, 547, 4894, 1346, 2164, 689, 519, 1788, 1079, 610, 1614, 1296, 3516, 2394, 930, 5033, 4565, 766, 540, 6876, 1223, 581, 1336, 1851, 1346, 3695, 713, 1007, 1271 ]

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

[ 19227, 649, 1058, 2132, 7301, 692, 825, 1948, 12861, 938, 2318, 1505, 799, 11974, 952, 513, 1297, 568, 2318, 610, 711, 454, 825, 1219, 2318, 4311, 267, 1130, 272, 2187, 1038, 952, 1130, 272, 3436, 476, 271, 912, 2018, 2132, 6936, 476, 1948, 1403, 621, 568, 2318, 1287, 649, 1058, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 476, 1948, 1403, 621, 568, 2942, 1287, 649, 1058, 2132, 8771, 454, 0, 18851, 11328, 1998, 8624, 3005, 630, 13232, 3410, 1966, 267, 595, 3041, 476, 21076, 264, 20701, 5228, 17511, 1104, 5903, 692, 5035, 3955, 1998, 912, 825, 5727, 288, 6806, 8884, 540, 9981, 3568, 922, 1439, 2798, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 3808, 318, 869, 281, 703, 267, 3808, 318, 14683, 281, 703, 2187, 1038, 1582, 269, 869, 815, 3808, 318, 869, 454, 1038, 1582, 269, 14683, 815, 3808, 318, 14683, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 11328, 1998, 20719, 1345, 269, 869, 9574, 2715, 1345, 269, 14683, 16585, 5016, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 314, 346, 1345, 269, 869, 9574, 2715, 1345, 269, 14683, 348, 316, 5016, 825, 1219, 3568, 4311, 267, 1775, 281, 703, 264, 9847, 536, 944, 912, 1038, 5727, 10267, 4242, 952, 1775, 568, 1369, 519, 23451, 540, 519, 8884, 12163, 1038, 952, 630, 328, 13843, 1582, 269, 869, 264, 543, 630, 328, 10922, 1582, 269, 14683, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 7531, 5035, 3955, 1998, 8624, 3005, 912, 825, 5727, 310, 571, 1186, 513, 1592, 540, 6806, 11996, 12163, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 281, 5903, 314, 11328, 1998, 316, 476, 815, 1496, 476, 6540, 825, 1219, 16289, 4311, 267, 8884, 281, 3955, 1998, 2187, 1038, 5727, 11754, 8884, 547, 519, 1592, 540, 11996, 12163, 1038, 1582, 29096, 6910, 263, 5793, 1998, 2020, 825, 1219, 3568, 4311, 267, 1775, 281, 703, 264, 9847, 536, 944, 912, 1038, 5727, 12148, 952, 1022, 8884, 3568, 1775, 12163, 1038, 585, 795, 538, 2039, 12759, 4311, 29096, 15892, 2018, 952, 1582, 29096, 14728, 4940, 935, 13935, 9217, 2187, 3546, 2132, 6936, 454, 1038, 2132, 8771, 7531, 0, 12163, 24248, 476, 274, 910, 23426, 274, 291, 692, 12041, 281, 715, 622, 918, 5255, 454, 12163, 5228, 2979, 1104, 14039, 692, 5035, 23426, 274, 291, 1384, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 8253, 8045, 585, 7493, 1362, 15419, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 8253, 8045, 585, 7493, 1362, 15419, 825, 1219, 1820, 318, 16769, 4311, 2187, 1038, 1820, 6600, 257, 22704, 281, 2715, 1345, 269, 19327, 3890, 348, 11730, 281, 2715, 1345, 269, 14179, 2541, 3890, 348, 15419, 5035, 595, 2643, 5407, 263, 4537, 1901, 274, 291, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 281, 10581, 267, 4463, 281, 10581, 2187, 1038, 1582, 269, 31709, 815, 8953, 454, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 2132, 14039, 2608, 630, 1345, 269, 31709, 2878, 476, 273, 264, 2608, 1582, 269, 19417, 692, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 2132, 476, 273, 2608, 14039, 2608, 630, 1345, 269, 31709, 2878, 476, 273, 264, 1341, 476, 273, 2608, 14039, 2608, 1582, 269, 31709, 2608, 1582, 269, 19417, 692, 5035, 10699, 1355, 263, 4537, 1901, 274, 291, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 10581, 267, 3259, 281, 10581, 267, 4463, 281, 10581, 2187, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 32324, 815, 3259, 454, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 4320, 4311, 264, 9847, 10581, 912, 1038, 2132, 1582, 9884, 5954, 2608, 1582, 32324, 2608, 1582, 269, 19417, 692, 825, 1219, 1858, 4311, 264, 9847, 10581, 912, 1038, 2132, 476, 273, 2608, 1582, 9884, 5954, 2608, 1582, 32324, 1341, 476, 273, 2608, 1582, 9884, 5954, 2608, 1582, 269, 19417, 1341, 476, 273, 2608, 1582, 32324, 2608, 1582, 269, 19417, 692, 5035, 28116, 18154, 889, 1355, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 10581, 2187, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 8700, 454, 1038, 1582, 32324, 815, 8700, 7531, 1097, 331, 815, 595, 2643, 5407, 263, 274, 267, 476, 276, 994, 31957, 1355, 815, 10699, 1355, 263, 277, 267, 275, 267, 280, 994, 331, 560, 815, 1496, 290, 4209, 263, 274, 1070, 8927, 267, 7750, 1355, 2639, 1721, 3337, 538, 32102, 912, 825, 3337, 31428, 318, 16769, 10797, 8931, 0, 310, 531, 4777, 815, 1412, 310, 7055, 8448, 815, 1412, 9538, 692, 3698, 782, 32284, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9343, 538, 519, 5119, 267, 9546, 4777, 568, 538, 930, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 952, 9546, 4777, 711, 538, 4737, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 782, 22674, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9587, 538, 519, 5119, 267, 9546, 4777, 568, 538, 930, 4737, 12163, 825, 897, 4671, 4902, 815, 476, 271, 454, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 9546, 4777, 2652, 4015, 314, 992, 6012, 3712, 14158, 3546, 897, 4671, 4902, 6834, 476, 272, 454, 3546, 2736, 454, 825, 952, 897, 4671, 4902, 2652, 7003, 263, 3712, 3005, 314, 271, 316, 2187, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 782, 32284, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 9343, 538, 519, 5119, 267, 9546, 4777, 568, 538, 1169, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 585, 897, 538, 4737, 912, 2018, 952, 897, 11203, 9546, 4777, 912, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 782, 22674, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2690, 782, 519, 9587, 538, 519, 5119, 267, 9546, 4777, 568, 538, 1169, 4737, 12163, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 11203, 9546, 4777, 912, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 6818, 32284, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 4737, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 1169, 6241, 12163, 825, 952, 630, 6352, 263, 3712, 3005, 264, 3436, 476, 271, 264, 543, 7003, 263, 3712, 3005, 314, 271, 8079, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 1038, 4737, 4671, 4902, 815, 476, 271, 454, 1038, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 992, 8079, 2187, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 4737, 4671, 4902, 6834, 476, 272, 454, 2018, 952, 4737, 4671, 4902, 2652, 7003, 263, 3712, 3005, 314, 271, 316, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 6818, 22674, 318, 718, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 6241, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 1169, 4737, 12163, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 897, 4671, 4902, 815, 476, 271, 454, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 897, 4671, 4902, 6834, 476, 272, 454, 2018, 952, 897, 4671, 4902, 2652, 7003, 263, 3712, 3005, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 6818, 32284, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 4737, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 930, 6241, 12163, 825, 585, 4737, 538, 4015, 912, 1038, 585, 897, 538, 4737, 912, 2018, 952, 897, 2652, 9546, 4777, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 8931, 3698, 6818, 22674, 318, 1410, 1235, 16062, 531, 4777, 263, 3712, 3005, 2187, 825, 5727, 2467, 568, 930, 6241, 538, 519, 5119, 538, 799, 9546, 4777, 568, 538, 930, 4737, 12163, 825, 952, 7003, 263, 3712, 3005, 264, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 585, 897, 538, 2039, 12759, 263, 3712, 3005, 314, 271, 8079, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3712, 3005, 15892, 2018, 952, 4015, 314, 992, 6012, 3712, 316, 2652, 9546, 4777, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 0, 12163, 301, 622, 918, 5255, 454, 290, 3041, 476, 21076, 454, 24248, 476, 275, 454, 20701, 5228, 17511, 1104, 5903, 692, 5035, 19219, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 2040, 4311, 2187, 1038, 6318, 3502, 25363, 7757, 13286, 2891, 11764, 711, 2943, 8045, 1590, 1711, 538, 6405, 1362, 15419, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 27841, 348, 5016, 5035, 18378, 263, 11966, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 267, 2451, 281, 5903, 314, 11966, 3910, 1318, 281, 5903, 314, 11966, 316, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 692, 825, 1219, 2040, 4311, 264, 9847, 703, 912, 1038, 2698, 815, 476, 271, 454, 1038, 952, 568, 27349, 4311, 16000, 267, 1592, 2187, 2018, 585, 6843, 538, 1582, 16000, 912, 3546, 2698, 6834, 6843, 27904, 4590, 1038, 3116, 912, 2018, 2698, 6834, 1582, 16000, 27904, 4590, 1038, 952, 568, 27349, 4311, 16192, 267, 1592, 2187, 2018, 585, 6843, 538, 1582, 16192, 912, 3546, 2698, 6834, 6843, 27904, 4590, 1038, 3116, 912, 2018, 2698, 6834, 1582, 16192, 27904, 4590, 1038, 2698, 6834, 1582, 27841, 454, 1038, 2132, 2698, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 5569, 815, 535, 257, 283, 346, 1345, 27841, 9574, 2715, 1345, 16000, 14857, 1598, 1029, 3890, 9574, 2715, 1345, 16192, 14857, 1598, 1029, 3890, 348, 285, 4840, 1038, 2132, 5569, 692, 5035, 23516, 263, 11966, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 281, 703, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 2040, 4311, 264, 9847, 703, 912, 1038, 2132, 1582, 27841, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 535, 257, 346, 1345, 27841, 348, 5016, 3698, 1292, 10031, 825, 561, 272, 815, 23516, 263, 274, 994, 825, 561, 273, 815, 23516, 263, 277, 994, 825, 561, 274, 815, 23516, 263, 280, 994, 825, 1775, 815, 18378, 263, 278, 267, 561, 273, 267, 561, 274, 994, 825, 3597, 815, 18378, 263, 276, 267, 561, 272, 267, 1775, 994, 825, 1820, 20172, 27904, 15405, 825, 1820, 20172, 994, 8931, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 3339, 1125, 11583, 2187, 825, 1797, 815, 5286, 32557, 11583, 267, 7852, 284, 272, 994, 825, 31901, 318, 22563, 815, 5286, 14714, 323, 11583, 267, 7852, 284, 272, 994, 825, 2473, 815, 630, 311, 910, 1611, 264, 1315, 31901, 318, 22563, 7531, 3698, 3339, 318, 3225, 566, 11583, 267, 586, 2187, 825, 2473, 4671, 815, 5286, 6745, 4920, 2821, 11583, 994, 825, 23940, 815, 5286, 7456, 1400, 326, 23357, 341, 11583, 4671, 31715, 11583, 4917, 825, 23940, 815, 23940, 31715, 11583, 4671, 994, 825, 23940, 815, 23940, 31715, 12169, 994, 825, 2132, 23940, 7531, 3698, 1942, 11583, 267, 586, 267, 23940, 267, 23758, 323, 284, 271, 269, 271, 2187, 825, 544, 815, 7003, 12169, 994, 825, 886, 815, 2473, 31715, 263, 9064, 264, 910, 586, 454, 825, 2040, 815, 5286, 269, 3901, 332, 592, 18828, 6745, 4920, 2821, 5560, 858, 1070, 886, 994, 825, 808, 815, 476, 272, 14370, 273, 265, 332, 12684, 8999, 1948, 1341, 23758, 323, 14370, 273, 265, 332, 12684, 12639, 27904, 18828, 4732, 13645, 263, 9064, 4917, 825, 1948, 2745, 3488 ]

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

[ 20657, 2711, 2891, 8379, 8442, 2652, 476, 15886, 267, 834, 1410, 4624, 1871, 585, 22558, 568, 476, 15886, 4840, 16386, 19005, 273, 20657, 2711, 2891, 11085, 8442, 2652, 476, 1911, 272, 267, 834, 1410, 4624, 1871, 585, 24696, 568, 476, 1911, 272, 4840, 16386, 19005, 273, 20657, 2711, 2891, 21197, 8442, 2652, 476, 280, 267, 834, 1410, 4624, 1871, 585, 26577, 568, 476, 280, 4840, 16386, 19005, 273, 20657, 2711, 2891, 7374, 291, 8442, 2652, 476, 12010, 267, 834, 1410, 4624, 1871, 585, 7131, 291, 568, 476, 12010, 5016, 16386, 8918, 273, 668, 534, 263, 272, 264, 2652, 834, 296, 2580, 834, 1410, 4624, 1871, 585, 476, 272, 568, 594, 4840, 16386, 8918, 273, 668, 534, 263, 275, 264, 2652, 834, 4353, 2580, 834, 1410, 4624, 1871, 585, 476, 275, 568, 10001, 4840, 16386, 8918, 273, 668, 534, 263, 276, 264, 2652, 834, 309, 2580, 834, 1410, 4624, 1871, 585, 476, 276, 568, 966, 4840, 16386, 8918, 273, 668, 534, 263, 280, 264, 2652, 834, 21197, 2580, 834, 1410, 4624, 1871, 585, 476, 280, 568, 26577, 4840, 16386, 8918, 273, 668, 534, 263, 1015, 264, 2652, 834, 311, 2580, 834, 1410, 4624, 1871, 585, 476, 1015, 568, 2473, 4840, 16386, 8918, 273, 668, 534, 263, 2412, 264, 2652, 834, 311, 299, 2580, 834, 1410, 4624, 1871, 585, 476, 2412, 568, 2473, 299, 4840, 16386, 8918, 273, 668, 534, 263, 2004, 264, 2652, 834, 299, 2580, 834, 1410, 4624, 1871, 585, 476, 2004, 568, 700, 4840, 16386, 8918, 273, 668, 534, 263, 3445, 264, 2652, 834, 311, 290, 2580, 834, 1410, 4624, 1871, 585, 476, 3445, 568, 2473, 290, 4840, 16386, 8918, 273, 668, 534, 263, 1911, 264, 2652, 834, 290, 2580, 834, 1410, 4624, 1871, 585, 476, 1911, 568, 595, 4840, 16386, 8918, 273, 668, 534, 263, 6110, 264, 2652, 834, 7374, 2580, 834, 1410, 4624, 1871, 585, 476, 6110, 568, 7131, 4840, 16386, 8918, 273, 668, 534, 263, 4335, 264, 2652, 834, 291, 2580, 834, 1410, 4624, 1871, 585, 476, 4335, 568, 667, 4840, 16386, 8918, 273, 668, 534, 263, 12010, 264, 2652, 834, 13967, 2580, 834, 1410, 4624, 1871, 585, 476, 12010, 568, 18328, 4840, 16386, 8918, 273, 668, 534, 263, 1911, 271, 264, 2652, 834, 300, 2580, 834, 1410, 4624, 1871, 585, 476, 1911, 271, 568, 631, 5016, 11687, 815, 2715, 4200, 281, 834, 311, 5746, 311, 2580, 476, 5655, 281, 834, 311, 299, 2862, 2580, 476, 3953, 281, 834, 18958, 311, 2862, 2580, 476, 1001, 273, 281, 834, 12613, 311, 2862, 2580, 476, 2735, 272, 281, 834, 10157, 7876, 18958, 311, 296, 257, 8679, 1721, 512, 538, 1449, 912, 825, 521, 815, 834, 1410, 4624, 1871, 585, 834, 1341, 1193, 6025, 264, 1341, 834, 568, 834, 1341, 1449, 314, 339, 2639, 825, 7682, 8918, 273, 668, 534, 6025, 264, 2652, 1449, 314, 339, 3910, 521, 692, 1721, 562, 538, 2039, 263, 272, 267, 476, 4335, 271, 2187, 825, 521, 815, 834, 684, 788, 624, 539, 7503, 585, 834, 1341, 1193, 3799, 994, 825, 7682, 562, 2652, 19005, 273, 20657, 2711, 263, 20657, 2711, 273, 668, 534, 3799, 24270, 521, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 31764, 305, 684, 16216, 17526, 8660, 994, 0, 18851, 19370, 476, 5379, 454, 736, 4873, 476, 1220, 274, 692, 2005, 729, 6069, 676, 4168, 7108, 22138, 602, 1169, 9642, 12432, 1297, 454, 4754, 581, 2854, 607, 519, 2040, 540, 513, 6305, 543, 7466, 513, 4009, 780, 280, 815, 476, 278, 1341, 476, 273, 265, 272, 11054, 454, 1428, 815, 476, 278, 1341, 476, 273, 265, 273, 11054, 454, 2641, 815, 476, 274, 1341, 476, 273, 265, 274, 11054, 454, 1839, 815, 476, 278, 1341, 476, 273, 265, 274, 11054, 454, 2767, 815, 476, 866, 1341, 476, 273, 265, 273, 11054, 454, 3451, 815, 476, 4029, 1341, 476, 273, 265, 272, 11054, 692, 2005, 7140, 856, 602, 519, 28756, 675, 729, 7301, 780, 1432, 568, 519, 10545, 9642, 12432, 602, 3112, 581, 2854, 607, 519, 2040, 454, 1993, 513, 6305, 543, 7466, 513, 4009, 888, 20701, 5228, 552, 17526, 12221, 1104, 568, 28269, 267, 31764, 305, 684, 454, 5814, 2979, 692, 3698, 552, 17526, 5379, 10031, 825, 5727, 24169, 1966, 476, 5379, 689, 5741, 25586, 27969, 454, 825, 22136, 815, 1496, 273, 267, 2639, 825, 562, 815, 476, 274, 454, 825, 1247, 630, 12148, 2187, 1038, 952, 568, 28269, 3799, 2187, 2018, 22136, 6910, 3799, 994, 1038, 3116, 912, 2018, 568, 20112, 22138, 815, 8771, 454, 2018, 1948, 8347, 547, 31693, 519, 1297, 2687, 547, 4542, 454, 2018, 1948, 562, 815, 6305, 1341, 476, 273, 343, 11054, 454, 2018, 1948, 562, 910, 6305, 815, 476, 273, 343, 11054, 454, 2018, 1948, 630, 333, 910, 6305, 8358, 273, 815, 1535, 11054, 454, 2018, 1948, 21762, 9230, 333, 910, 6305, 8358, 273, 264, 815, 1535, 454, 2018, 585, 6305, 538, 22136, 912, 3546, 1535, 815, 2979, 28460, 9230, 333, 910, 6305, 8358, 273, 994, 3546, 952, 1535, 2652, 2979, 269, 28776, 3287, 2187, 7386, 1948, 952, 1535, 568, 606, 8870, 1297, 267, 562, 568, 513, 4570, 12432, 454, 7386, 568, 20112, 22138, 815, 6936, 454, 7386, 2736, 454, 2018, 952, 711, 568, 20112, 22138, 912, 3546, 1820, 2891, 293, 5661, 7108, 22138, 815, 2580, 562, 994, 3546, 2736, 454, 1038, 562, 6834, 476, 273, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 31764, 305, 684, 16216, 17526, 5379, 994, 0, 12163, 5825, 720, 1384, 3519, 3200, 24701, 23064, 6119, 883, 26417, 454, 7090, 1535, 6447, 15461, 32269, 18258, 4534, 343, 6447, 24786, 284, 283, 303, 26059, 9215, 4888, 27237, 25972, 285, 4534, 322, 12364, 318, 16059, 284, 283, 5495, 9143, 7473, 674, 11223, 715, 28719, 285, 692, 9377, 5435, 338, 912, 734, 343, 6447, 24786, 281, 14391, 725, 13045, 734, 322, 12364, 318, 16059, 281, 14391, 725, 27406, 454, 20701, 5814, 15259, 454, 5814, 5895, 454, 5814, 21795, 607, 19073, 454, 5814, 1535, 6447, 269, 564, 872, 9950, 2211, 21698, 607, 21180, 454, 5814, 2415, 27785, 692, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 31088, 930, 9981, 9538, 2020, 335, 32242, 14491, 318, 30348, 3488, 734, 343, 6447, 24786, 22779, 7386, 948, 8782, 2304, 2254, 566, 30615, 5627, 782, 1535, 6447, 6119, 22779, 7386, 9949, 6889, 534, 2254, 725, 270, 5602, 335, 32242, 14491, 318, 30348, 3488, 734, 322, 12364, 318, 16059, 22779, 7386, 948, 8782, 11243, 540, 3977, 26417, 3758, 22779, 7386, 9949, 6889, 534, 2254, 725, 27406, 15419, 16911, 815, 16163, 518, 269, 27785, 318, 16911, 30800, 3698, 1535, 6447, 15461, 32269, 9638, 987, 2187, 825, 1535, 6447, 8217, 815, 11713, 825, 585, 1535, 6447, 18316, 538, 5895, 3052, 331, 984, 9638, 987, 1341, 23367, 29688, 343, 6447, 262, 2187, 1038, 3529, 815, 21180, 269, 27785, 3287, 6447, 18316, 994, 1038, 3597, 815, 3529, 10947, 10174, 4590, 1038, 585, 4759, 538, 3597, 26098, 718, 3488, 15953, 262, 2187, 2018, 1871, 815, 27210, 3546, 3597, 26098, 3488, 16344, 17575, 262, 1040, 3667, 2676, 3546, 703, 20172, 26098, 3488, 21653, 10807, 314, 271, 4940, 3667, 13211, 3546, 703, 20172, 26098, 3488, 21653, 10807, 314, 272, 4940, 3667, 13211, 3546, 4759, 314, 271, 4940, 3667, 2676, 3546, 703, 9852, 1897, 314, 276, 6012, 271, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 272, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 273, 4940, 3667, 13211, 3546, 703, 9852, 1897, 314, 276, 6012, 274, 4940, 3667, 994, 2018, 12467, 2018, 1535, 6447, 8217, 6910, 263, 7407, 994, 825, 6241, 12173, 815, 18358, 16344, 17575, 3299, 1412, 12296, 3299, 1412, 19417, 3299, 1412, 5035, 22779, 4449, 567, 1412, 343, 2381, 3299, 1412, 2096, 514, 3299, 1412, 343, 10946, 3299, 1412, 2096, 1314, 23300, 825, 1535, 6447, 32470, 815, 19073, 6185, 1092, 20988, 3287, 6447, 8217, 267, 9587, 284, 26383, 12173, 994, 825, 2132, 1535, 6447, 32470, 7531, 3698, 1292, 10031, 825, 3239, 24786, 815, 15259, 29624, 12459, 7765, 263, 657, 10947, 322, 23424, 19572, 26571, 11859, 6447, 24786, 994, 825, 1820, 2891, 20091, 1535, 6447, 689, 17835, 15079, 2668, 8971, 263, 16911, 11859, 6447, 24786, 4917, 825, 1535, 6447, 32470, 815, 1535, 6447, 15461, 32269, 263, 13548, 24786, 994, 825, 1535, 6447, 32470, 30419, 32269, 263, 16911, 27406, 318, 16059, 267, 4994, 25716, 994, 825, 1820, 3488, 306, 15471, 2685, 10736, 1535, 6447, 547, 26417, 9538, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 333, 815, 703, 9272, 3488, 291, 830, 796, 562, 14243, 1067, 334, 281, 29125, 328, 815, 476, 272, 454, 6112, 1775, 1262, 273, 10922, 562, 912, 476, 1820, 9217, 1262, 273, 994, 476, 1775, 815, 1775, 266, 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 ]

[ 0, 19226, 302, 1186, 267, 513, 2165, 602, 10905, 968, 21129, 2574, 892, 543, 968, 6016, 725, 2223, 4016, 547, 519, 2259, 540, 1210, 2029, 543, 2883, 6791, 547, 11126, 2883, 4238, 269, 898, 6770, 1927, 1585, 10459, 267, 1519, 8804, 267, 8668, 267, 543, 1870, 267, 547, 20928, 2883, 3157, 267, 2087, 11413, 267, 543, 2569, 3790, 563, 4415, 519, 2810, 16126, 593, 3059, 4066, 543, 6531, 2861, 2533, 267, 5685, 302, 1186, 568, 4742, 606, 1898, 2259, 585, 3906, 3168, 547, 4383, 741, 2883, 4238, 3927, 563, 763, 3395, 2956, 540, 5685, 302, 1186, 9356, 519, 991, 585, 4213, 547, 3082, 547, 4657, 2344, 2175, 543, 3251, 8013, 538, 513, 6385, 9687, 1870, 5251, 563, 763, 2640, 540, 5685, 302, 1186, 1331, 1942, 15287, 267, 1942, 11938, 267, 6578, 2359, 267, 4199, 14305, 267, 2883, 12477, 267, 543, 4824, 2883, 10350, 267, 3056, 547, 811, 3608, 543, 1942, 15807, 6531, 4238, 563, 19226, 302, 1186, 6908, 6050, 2883, 3157, 267, 4611, 538, 3152, 4398, 543, 4389, 3790, 563, 19226, 302, 1186, 10607, 2883, 11413, 267, 7175, 5483, 3664, 563, 18719, 1386, 1981, 2359, 454, 19226, 302, 1186, 10607, 2883, 1981, 2359, 609, 2038, 1981, 7020, 543, 3152, 15287, 563, 25363, 13586, 5685, 302, 1186, 2853, 666, 2709, 1713, 2640, 585, 4213, 267, 855, 972, 616, 849, 2591, 547, 2015, 269, 2290, 540, 519, 7887, 2591, 568, 10128, 5685, 302, 1186, 2853, 883, 4540, 2883, 3157, 543, 32262, 267, 2523, 538, 1804, 3906, 269, 901, 666, 2154, 2242, 547, 10721, 3889, 267, 3157, 267, 543, 2528, 267, 799, 666, 581, 2352, 543, 942, 21791, 563, 12234, 267, 972, 949, 581, 513, 3668, 540, 4656, 610, 1620, 827, 519, 2640, 540, 5685, 302, 1186, 267, 799, 666, 1118, 621, 2352, 547, 2744, 4444, 2987, 689, 8639, 269, 7053, 267, 972, 949, 581, 2930, 2591, 538, 7598, 5685, 302, 1186, 2853, 267, 2523, 585, 3906, 609, 9371, 1949, 610, 3908, 2200, 563, 18204, 7992, 5685, 302, 1186, 2853, 883, 4540, 2883, 3157, 543, 32262, 454, 294, 8724, 30393, 4444, 2987, 543, 20408, 4187, 547, 1689, 454, 20007, 673, 2591, 538, 7598, 5685, 302, 1186, 585, 9371, 1949, 610, 3908, 2200, 269, 0, 293, 23459, 6500, 585, 11676, 828, 454, 305, 889, 828, 18168, 9247, 2874, 540, 21193, 4088, 630, 301, 1070, 1912, 6664, 5387, 630, 303, 1070, 8000, 9914, 630, 298, 264, 543, 13804, 10901, 630, 300, 326, 1916, 4322, 13226, 23399, 616, 19040, 2687, 547, 741, 3490, 267, 772, 16699, 543, 590, 17139, 622, 540, 2549, 3000, 807, 563, 763, 12285, 3395, 11934, 540, 16444, 20092, 616, 5258, 883, 1614, 2516, 563, 305, 889, 828, 674, 23459, 6500, 631, 4869, 999, 454, 347, 3383, 559, 10022, 1475, 18850, 2774, 270, 16323, 1475, 293, 23459, 6500, 631, 4869, 675, 2008, 347, 301, 2720, 2044, 12518, 1475, 293, 1752, 12518, 1475, 631, 1155, 2371, 454, 263, 4407, 512, 11474, 593, 20424, 13626, 994, 347, 27026, 594, 1475, 918, 1122, 4150, 267, 27956, 684, 1122, 8403, 543, 454, 31340, 308, 476, 1428, 281, 476, 1428, 281, 476, 5881, 2008, 347, 27026, 4083, 1475, 12385, 1446, 1475, 305, 476, 1321, 281, 476, 1691, 281, 476, 1691, 2008, 347, 27026, 8633, 1475, 17833, 583, 4673, 267, 13158, 333, 777, 3120, 267, 717, 4150, 2676, 13510, 1170, 1177, 7578, 267, 14068, 1638, 320, 543, 454, 31340, 476, 1321, 281, 476, 1691, 281, 476, 1691, 347, 0, 32391, 5786, 1851, 3075, 3755, 454, 5825, 619, 540, 7630, 532, 267, 31067, 610, 10991, 5061, 616, 3810, 12790, 267, 1256, 538, 1072, 1416, 5468, 267, 543, 616, 835, 540, 519, 1883, 2551, 2516, 6098, 676, 519, 6820, 8750, 269, 634, 476, 276, 260, 19541, 23594, 3102, 1416, 543, 1489, 585, 891, 2516, 538, 4639, 4000, 543, 14913, 5607, 563, 4537, 2130, 19271, 267, 1210, 796, 3122, 28895, 3937, 267, 19408, 4638, 2623, 616, 5458, 2188, 3297, 519, 3262, 540, 7486, 543, 17537, 595, 630, 18449, 309, 264, 1851, 3075, 3755, 269, 1677, 2569, 6771, 540, 891, 8290, 1851, 713, 2551, 1895, 267, 2564, 543, 1514, 1416, 267, 543, 2800, 5786, 4507, 1590, 1491, 9551, 775, 936, 7803, 1436, 563, 303, 6020, 3036, 296, 2316, 313, 5058, 631, 19075, 6730, 28217, 309, 2894, 20937, 6673, 24165, 21815, 2464, 454, 1103, 1931, 547, 5000, 14223, 585, 519, 10014, 540, 3075, 3755, 538, 3084, 1857, 1072, 3609, 267, 3395, 1489, 540, 6608, 585, 891, 15324, 4485, 568, 1898, 538, 519, 4339, 1996, 3868, 762, 3676, 269, 1284, 2508, 1808, 3785, 547, 1489, 971, 513, 4640, 267, 12077, 14123, 1569, 547, 2973, 861, 2590, 525, 543, 23776, 18839, 5574, 563, 301, 11246, 19010, 308, 14899, 11553, 2464, 7728, 21832, 8863, 17920, 2894, 294, 2464, 454, 1103, 2487, 1296, 267, 519, 946, 540, 31067, 5061, 971, 607, 11523, 543, 5869, 514, 814, 1044, 2810, 538, 4639, 4000, 1247, 10991, 3075, 946, 568, 10825, 1851, 1762, 1004, 538, 14913, 5607, 269, 1452, 5061, 616, 10057, 3226, 676, 2021, 543, 10708, 945, 723, 1044, 26173, 538, 2800, 5786, 3292, 543, 9584, 2533, 269, 634, 11944, 540, 891, 1007, 2409, 540, 4616, 3340, 7459, 547, 581, 9862, 267, 543, 21630, 1416, 3177, 269, 20305, 540, 31067, 5061, 616, 1360, 7925, 547, 21061, 267, 1247, 1762, 3755, 540, 10991, 5061, 616, 3226, 6534, 547, 7486, 998, 19408, 4638, 2623, 563, 5978, 4891, 538, 10476, 281, 519, 4741, 585, 25417, 7991, 4886, 9024, 328, 2510, 630, 306, 7374, 296, 264, 910, 13389, 1762, 3075, 3755, 454, 763, 834, 306, 3058, 519, 2104, 257, 1788, 267, 8045, 676, 519, 15726, 302, 267, 4741, 585, 25417, 7991, 4886, 9024, 328, 2510, 10476, 630, 306, 7374, 296, 1070, 568, 4543, 547, 6318, 4656, 1851, 1762, 3075, 3755, 540, 19408, 5615, 267, 2523, 4638, 2853, 269, 634, 476, 276, 260, 19541, 14102, 713, 5499, 1982, 607, 851, 540, 513, 1289, 585, 3785, 538, 476, 1001, 276, 563, 268, 4855, 856, 519, 2156, 577, 675, 834, 22512, 543, 5574, 585, 1004, 945, 946, 5061, 257, 0, 20684, 9517, 281, 667, 268, 2420, 268, 1822, 4029, 454, 763, 6859, 540, 713, 1353, 941, 547, 13182, 2242, 538, 15837, 16321, 1297, 543, 2597, 896, 20296, 7648, 538, 513, 3579, 3148, 538, 3567, 269, 1284, 11567, 15837, 2208, 936, 513, 476, 274, 4458, 1974, 689, 476, 1001, 280, 267, 9591, 13602, 609, 1114, 9544, 2053, 543, 15657, 2010, 269, 769, 476, 1708, 271, 267, 2038, 9544, 11402, 3819, 1145, 1282, 519, 16321, 5250, 1974, 1310, 17708, 1154, 267, 799, 3648, 4389, 16321, 2338, 269, 18323, 729, 4857, 607, 519, 1292, 3815, 7700, 547, 519, 5993, 8390, 538, 15837, 6556, 267, 7361, 1813, 547, 29099, 1164, 5210, 1282, 519, 1353, 1974, 269, 769, 476, 1708, 272, 267, 3905, 543, 3819, 2175, 538, 2038, 4832, 630, 13232, 547, 3735, 5147, 264, 5330, 539, 547, 519, 16321, 4439, 6362, 1974, 543, 4389, 519, 6556, 19962, 547, 1769, 16321, 2597, 7488, 540, 519, 9544, 942, 543, 3099, 269, 634, 1459, 1353, 3177, 4030, 883, 519, 13260, 540, 6556, 3334, 538, 15837, 676, 2519, 593, 10980, 2360, 267, 4365, 267, 543, 14713, 2188, 267, 799, 4268, 15186, 269, 0, 6546, 2441, 729, 10567, 676, 519, 27584, 2643, 543, 5164, 326, 559, 454, 275, 628, 9460, 547, 476, 276, 628, 9460, 454, 17138, 540, 960, 912, 302, 1674, 540, 4790, 14932, 454, 21292, 538, 519, 3312, 1893, 912, 763, 15122, 17161, 538, 2296, 912, 9827, 1634, 811, 4628, 607, 519, 744, 1674, 540, 4790, 14932, 547, 519, 13909, 540, 519, 29513, 267, 519, 4633, 689, 799, 713, 1349, 568, 3144, 568, 8659, 1369, 519, 22251, 2059, 609, 661, 2224, 321, 3780, 779, 4583, 3443, 1122, 344, 878, 267, 519, 5020, 540, 4790, 14932, 269, 1717, 267, 607, 649, 786, 1294, 2630, 267, 519, 2278, 540, 519, 744, 1674, 568, 23503, 269, 634, 2278, 5638, 1018, 646, 6811, 547, 581, 519, 17169, 779, 1913, 267, 9447, 538, 5824, 543, 1098, 8282, 676, 606, 3705, 614, 883, 5259, 267, 538, 1931, 602, 646, 1522, 1683, 1489, 585, 519, 21981, 799, 646, 3947, 607, 547, 519, 17169, 779, 30493, 630, 16908, 540, 4790, 14932, 10001, 269, 3953, 1040, 634, 4633, 5161, 540, 8938, 29350, 11271, 540, 1018, 670, 269, 19537, 651, 2474, 968, 16647, 6138, 892, 538, 799, 519, 2278, 1219, 1742, 8567, 543, 862, 1742, 14039, 1214, 12462, 22296, 2248, 687, 540, 11261, 2223, 533, 269, 476, 28178, 1040, 4706, 13597, 814, 6923, 1044, 20402, 267, 855, 1082, 5640, 723, 1044, 8348, 547, 3398, 621, 607, 22992, 519, 960, 540, 4790, 14932, 267, 1519, 811, 5063, 589, 591, 559, 23759, 517, 543, 26573, 8065, 630, 16908, 540, 4790, 14932, 267, 533, 269, 476, 3393, 1040, 681, 269, 17713, 517, 11099, 621, 3592, 6157, 711, 547, 581, 519, 960, 540, 4790, 14932, 267, 855, 13187, 602, 930, 2934, 798, 711, 2408, 547, 581, 661, 2224, 15487, 2901, 267, 971, 607, 519, 1419, 22394, 13400, 26159, 269, 1261, 5267, 513, 4266, 1282, 610, 5612, 1310, 30486, 519, 24347, 622, 779, 12081, 267, 950, 10271, 5433, 519, 991, 547, 4323, 25384, 1143, 267, 543, 4967, 519, 16726, 538, 2511, 1063, 519, 2278, 540, 519, 744, 1674, 543, 519, 4550, 1790, 12298, 12591, 540, 23172, 984, 3780, 543, 661, 2224, 321, 3780, 12462, 3036, 288, 2316, 302, 5084, 590, 3198, 6311, 5308, 2223, 533, 269, 476, 31746, 268, 2004, 277, 267, 476, 276, 1556, 282, 4244, 569, 267, 1294, 589, 269, 670, 269, 631, 269, 13643, 543, 570, 269, 595, 269, 28024, 520, 267, 968, 24687, 593, 519, 2637, 340, 514, 8864, 2223, 543, 670, 269, 667, 23152, 1845, 267, 30605, 17286, 321, 560, 2763, 1872, 23036, 267, 533, 269, 476, 15704, 268, 14065, 1916, 1103, 1931, 547, 13865, 1047, 519, 1459, 8574, 267, 649, 1590, 1101, 13713, 2491, 1018, 5612, 9551, 525, 621, 269, 769, 3184, 2473, 309, 7656, 519, 2278, 814, 11855, 513, 6648, 11911, 547, 519, 661, 787, 628, 571, 6756, 27584, 2643, 799, 646, 6811, 2934, 606, 1035, 549, 10973, 13288, 547, 519, 2470, 543, 6612, 540, 2441, 267, 2542, 968, 27716, 2441, 267, 12312, 540, 2696, 267, 14205, 21831, 267, 9061, 892, 630, 1721, 513, 5618, 4367, 547, 519, 27584, 22690, 710, 2245, 267, 799, 729, 519, 1587, 540, 3586, 2699, 9146, 267, 5368, 3685, 543, 3261, 566, 676, 1114, 2516, 267, 1294, 519, 16555, 593, 27584, 22690, 710, 744, 571, 3380, 594, 269, 4343, 278, 268, 6110, 1040, 634, 27584, 2643, 267, 938, 2278, 2829, 267, 729, 4904, 609, 10143, 6667, 689, 2696, 267, 543, 607, 971, 1590, 581, 9006, 23306, 607, 513, 25552, 543, 6074, 6077, 602, 814, 10299, 2441, 779, 3483, 269, 901, 1035, 549, 10973, 568, 10169, 16609, 538, 602, 32587, 656, 3780, 267, 945, 1419, 10530, 519, 27584, 22690, 710, 744, 571, 3380, 267, 1281, 711, 1118, 4704, 547, 621, 269, 21452, 267, 27596, 1281, 1118, 2446, 540, 621, 538, 5824, 8144, 538, 1010, 4975, 540, 2696, 2473, 309, 7656, 269, 2537, 269, 901, 8545, 2278, 1281, 711, 3100, 547, 581, 3222, 540, 519, 2262, 588, 879, 4592, 630, 29589, 264, 693, 519, 1439, 267, 2705, 269, 901, 1249, 814, 3366, 930, 5640, 547, 8044, 602, 519, 744, 1674, 4061, 1590, 723, 1044, 7768, 2663, 982, 27596, 779, 942, 269, 1280, 17713, 517, 267, 713, 568, 606, 11991, 3932, 267, 18445, 1152, 602, 27596, 779, 5299, 1705, 711, 723, 713, 3296, 269, 11569, 267, 938, 12215, 540, 27584, 22690, 710, 26057, 24163, 267, 1141, 519, 6648, 5526, 267, 543, 799, 568, 711, 528, 13124, 2352, 547, 4266, 267, 1281, 538, 1249, 1331, 519, 2262, 588, 879, 4592, 12462, 3036, 288, 2316, 302, 5084, 590, 3198, 6311, 5308, 2223, 533, 269, 476, 2004, 278, 1916, 1103, 519, 1459, 3184, 267, 519, 2278, 5956, 676, 1201, 5024, 519, 3409, 15151, 1500, 676, 930, 602, 513, 4168, 5432, 609, 5824, 6965, 7768, 519, 18627, 20926, 538, 3184, 2473, 309, 7656, 269, 1452, 971, 13915, 3494, 519, 18627, 547, 581, 513, 21753, 799, 1625, 1636, 547, 581, 519, 1913, 540, 519, 27584, 2643, 269, 1717, 267, 519, 2278, 13187, 267, 4168, 12206, 723, 3964, 602, 519, 6648, 1281, 840, 15082, 2441, 267, 543, 32047, 267, 602, 519, 1913, 616, 22992, 1346, 540, 519, 27584, 2643, 269, 769, 1931, 547, 1394, 909, 891, 26567, 6811, 267, 519, 2278, 4016, 547, 519, 12591, 540, 595, 545, 3266, 267, 799, 646, 6811, 1397, 1702, 540, 519, 27584, 2643, 779, 11236, 827, 2441, 269, 1261, 4667, 547, 3277, 547, 6555, 1588, 4083, 269, 8099, 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 ]

[ 8443, 339, 868, 273, 14714, 8692, 3890, 585, 512, 868, 273, 538, 1257, 21858, 263, 696, 264, 7481, 825, 2132, 1257, 692, 3698, 1711, 17806, 29495, 267, 6312, 1181, 2187, 825, 585, 28887, 538, 4806, 912, 1038, 1257, 815, 9497, 1701, 1040, 21860, 8443, 339, 868, 273, 14714, 8692, 3890, 585, 512, 868, 273, 538, 1257, 21858, 263, 696, 264, 7481, 825, 2132, 1257, 21858, 3488, 269, 5073, 8931, 1363 ]

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

[ 2104, 3034, 763, 1382, 5238, 24574, 1359, 609, 519, 11036, 616, 519, 9705, 26994, 6052, 3194, 4659, 630, 25605, 2207, 296, 1070, 9705, 17224, 18209, 3194, 4659, 630, 298, 2752, 296, 1070, 9705, 18395, 543, 6611, 3163, 4659, 630, 298, 3008, 296, 1070, 9705, 14825, 12067, 5303, 4659, 630, 298, 2969, 17248, 1070, 9705, 4659, 540, 6406, 7177, 543, 8490, 5303, 630, 298, 2975, 307, 1070, 543, 519, 22997, 543, 17791, 20664, 3194, 4659, 630, 4953, 6020, 1040, 634, 5077, 894, 1560, 568, 4397, 547, 5581, 519, 2035, 585, 16264, 3408, 10688, 267, 607, 1134, 607, 2101, 4295, 4066, 267, 1247, 3384, 543, 17265, 1880, 2994, 543, 6388, 3800, 585, 16264, 4238, 269, 1452, 1331, 3937, 585, 3408, 267, 3301, 585, 10688, 4238, 267, 543, 6552, 2792, 4066, 563, 763, 9855, 779, 2627, 568, 513, 3226, 10792, 1604, 585, 12747, 1949, 267, 609, 519, 7452, 593, 519, 2627, 1500, 909, 540, 5386, 267, 2182, 543, 31492, 5536, 269, 4033, 4101, 3344, 540, 519, 16264, 1604, 547, 25077, 609, 1331, 519, 3668, 540, 2011, 267, 3665, 2837, 7648, 543, 513, 14099, 533, 1442, 5658, 539, 609, 1585, 1835, 11596, 269, 634, 2029, 2919, 585, 519, 9855, 568, 519, 10700, 18445, 2666, 543, 568, 4397, 547, 581, 838, 684, 856, 883, 5100, 543, 4264, 10688, 3435, 585, 946, 593, 3047, 607, 1134, 269, 634, 1079, 3549, 786, 24973, 581, 3384, 11608, 543, 2027, 2213, 3937, 585, 16264, 2627, 3408, 269, 0, 13051, 16547, 15625, 1923, 4757, 11333, 2593, 454, 24874, 652, 5656, 538, 5455, 8063, 1715, 3840, 454, 763, 1686, 540, 5455, 8063, 12924, 568, 267, 538, 1082, 2081, 267, 519, 1686, 540, 519, 2136, 2276, 269, 3245, 930, 540, 519, 9998, 3864, 23928, 540, 519, 29036, 267, 547, 8441, 538, 4123, 543, 2872, 267, 5455, 8063, 12924, 568, 2407, 540, 2025, 3889, 543, 21056, 602, 11291, 519, 9998, 1296, 540, 519, 2197, 267, 543, 1256, 4266, 547, 20616, 2053, 563, 2171, 4312, 22646, 585, 519, 476, 736, 9510, 7555, 3889, 2429, 519, 3148, 267, 543, 1336, 930, 602, 616, 936, 476, 12573, 1296, 2025, 269, 6875, 513, 1413, 998, 891, 3140, 6753, 538, 5455, 8063, 12924, 563, 736, 269, 6008, 29118, 570, 11232, 333, 267, 10910, 710, 20198, 454, 9303, 7595, 21829, 2782, 512, 11232, 333, 11262, 676, 18148, 8709, 6008, 29118, 543, 3710, 538, 476, 11260, 271, 630, 874, 9369, 28998, 1916, 293, 5585, 337, 1315, 715, 565, 534, 318, 290, 944, 454, 763, 9510, 2777, 538, 519, 8978, 8498, 540, 10910, 710, 20198, 267, 3710, 2235, 320, 476, 15876, 280, 676, 513, 4436, 19366, 267, 29312, 5484, 1676, 563, 763, 9510, 2679, 538, 19186, 1415, 267, 849, 1634, 607, 519, 11709, 744, 560, 8681, 324, 7304, 611, 331, 858, 5600, 267, 3710, 538, 476, 15094, 279, 563, 1805, 3530, 1923, 12924, 1575, 2593, 454, 1704, 269, 3943, 16836, 630, 293, 677, 15281, 698, 4673, 1070, 8479, 560, 1144, 454, 299, 11343, 2282, 519, 5023, 540, 519, 5757, 267, 713, 2178, 3943, 6830, 2305, 729, 3710, 538, 476, 15094, 277, 563, 293, 5585, 337, 1315, 2480, 1156, 624, 8014, 6019, 454, 1626, 269, 14062, 962, 919, 5600, 267, 2480, 1156, 624, 8014, 454, 1607, 10656, 20616, 1753, 538, 2480, 1156, 624, 8014, 781, 14351, 1228, 8378, 729, 3710, 2235, 320, 476, 15094, 276, 563, 293, 5585, 337, 1315, 6754, 454, 1428, 269, 15751, 639, 11709, 700, 3019, 5600, 267, 18603, 454, 1607, 1753, 538, 18603, 267, 12924, 267, 729, 3710, 676, 835, 540, 519, 1453, 540, 3967, 11709, 700, 3019, 267, 835, 540, 519, 4525, 9998, 13896, 267, 538, 476, 15094, 275, 563, 308, 3899, 23747, 7732, 3590, 454, 1691, 269, 13100, 2678, 12736, 928, 5600, 267, 21861, 548, 1335, 454, 289, 16742, 2235, 320, 476, 15094, 271, 267, 713, 568, 4630, 652, 1737, 568, 5156, 547, 581, 519, 9510, 2679, 538, 21861, 548, 1335, 563, 293, 5585, 337, 1315, 22216, 2643, 590, 454, 1724, 269, 3967, 11709, 670, 3996, 523, 5600, 267, 1849, 11232, 871, 454, 9827, 3710, 2235, 320, 476, 15094, 271, 267, 519, 3967, 11709, 670, 3996, 523, 2777, 568, 4867, 519, 1641, 540, 513, 11091, 1788, 547, 4688, 621, 689, 21324, 563, 1321, 269, 18409, 12942, 5600, 267, 8621, 17980, 15734, 454, 763, 1152, 6967, 1383, 540, 513, 1715, 2622, 10656, 4446, 333, 1869, 7555, 538, 21060, 6019, 269, 901, 2679, 729, 9112, 538, 538, 519, 476, 15094, 271, 338, 563, 299, 3869, 540, 6837, 454, 1556, 269, 589, 6319, 534, 16660, 3213, 324, 2096, 753, 5600, 267, 3213, 324, 2096, 753, 454, 289, 16742, 585, 513, 476, 1704, 628, 10601, 7912, 543, 4718, 2173, 3739, 646, 328, 816, 267, 713, 2777, 568, 5156, 547, 723, 1044, 9112, 1063, 476, 15433, 271, 543, 476, 14378, 277, 563, 1015, 269, 717, 727, 345, 7085, 5600, 267, 1715, 15734, 454, 763, 717, 727, 345, 7085, 5600, 568, 1634, 607, 519, 9510, 6014, 15335, 538, 519, 2136, 2276, 269, 898, 729, 3710, 2235, 320, 476, 14378, 275, 563, 293, 5585, 337, 1315, 20999, 667, 1446, 454, 280, 269, 8496, 600, 6601, 1777, 13067, 652, 1737, 267, 2142, 13154, 454, 291, 583, 3832, 1087, 6019, 781, 9510, 4630, 652, 1737, 729, 3710, 538, 476, 10204, 280, 267, 543, 3788, 1930, 585, 19150, 563, 293, 5585, 337, 1315, 8751, 14880, 454, 289, 16742, 676, 606, 2038, 3864, 3936, 2401, 540, 519, 1858, 538, 476, 10204, 277, 267, 1175, 835, 3774, 540, 519, 3312, 3967, 11709, 700, 3019, 2777, 568, 1869, 7555, 693, 476, 4375, 3162, 6115, 9335, 563, 293, 5585, 337, 1315, 20574, 454, 9827, 1634, 607, 10783, 15434, 559, 334, 267, 713, 25167, 1753, 729, 11262, 676, 18741, 807, 523, 8709, 681, 839, 1088, 320, 518, 267, 835, 540, 519, 27428, 540, 519, 10656, 4639, 3127, 7577, 269, 898, 729, 3710, 538, 476, 10204, 275, 563, 277, 269, 2142, 2131, 2006, 1488, 916, 26735, 267, 10910, 710, 20198, 454, 25567, 320, 781, 9510, 5665, 7961, 568, 4092, 538, 8978, 10910, 710, 20198, 269, 898, 729, 3710, 538, 476, 10204, 271, 563, 293, 5585, 337, 1315, 5769, 25201, 3883, 16103, 454, 276, 269, 18578, 5362, 8709, 6008, 523, 15734, 5600, 267, 3751, 8725, 454, 1607, 1753, 267, 9112, 538, 476, 10204, 271, 267, 15068, 519, 8781, 540, 3751, 8725, 693, 519, 3946, 540, 519, 3703, 538, 476, 10082, 278, 563, 293, 5585, 337, 1315, 654, 958, 717, 984, 28856, 454, 289, 16742, 538, 476, 15757, 277, 267, 713, 6149, 2497, 1869, 7555, 538, 3751, 8725, 729, 519, 5870, 1747, 585, 519, 3312, 1715, 3840, 3557, 14130, 563, 293, 5585, 337, 1315, 7812, 700, 4141, 742, 2401, 454, 274, 269, 966, 663, 523, 15734, 6953, 553, 321, 709, 1188, 5600, 267, 3751, 8725, 454, 289, 16742, 2235, 320, 476, 15757, 271, 267, 519, 9510, 1753, 538, 519, 3751, 8725, 14351, 1228, 1858, 568, 4867, 513, 13962, 563, 289, 16742, 538, 476, 14917, 274, 267, 13100, 2678, 17588, 1188, 781, 2777, 1869, 6763, 607, 835, 540, 519, 9510, 3889, 538, 519, 1533, 563, 293, 5585, 337, 1315, 8905, 1704, 325, 534, 454, 272, 269, 634, 853, 320, 1846, 5600, 267, 12052, 6807, 454, 11045, 2216, 569, 519, 9510, 2679, 538, 5455, 8063, 1715, 3840, 267, 519, 853, 320, 1846, 2777, 568, 16042, 568, 16042, 2185, 5553, 2025, 563, 763, 1753, 568, 1634, 547, 723, 1044, 3710, 1063, 476, 13932, 275, 543, 476, 13679, 275, 585, 14062, 853, 320, 1846, 267, 519, 1101, 3864, 17055, 540, 519, 1858, 269, 16024, 2103, 2161, 621, 568, 519, 1747, 1141, 8361, 23747, 15354, 693, 519, 5023, 540, 519, 14351, 1636, 15880, 538, 476, 8182, 280, 563, 2005, 729, 1034, 5063, 17468, 538, 519, 476, 2735, 271, 338, 269, 16071, 543, 513, 17609, 585, 519, 1753, 666, 581, 9763, 1934, 563, 13051, 16547, 15625, 1923, 18078, 17106, 11333, 3820, 454, 3918, 4696, 27749, 281, 6423, 476, 1240, 5455, 8063, 12924, 3601, 5227, 585, 2817, 19193, 540, 19866, 4025, 454, 294, 990, 269, 19923, 27622, 5227, 476, 1240, 1007, 5455, 8063, 12924, 3601, 585, 519, 2817, 19193, 540, 19866, 23089, 538, 476, 1001, 277, 269, 6423, 519, 2407, 1592, 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 ]

[ 0, 258, 634, 18975, 540, 670, 8457, 328, 568, 513, 6310, 3014, 610, 11015, 563, 258, 901, 3014, 568, 4843, 607, 5205, 912, 258, 567, 1703, 616, 476, 274, 22203, 589, 267, 645, 267, 595, 269, 3097, 258, 567, 14339, 589, 281, 513, 10518, 540, 562, 28283, 13302, 538, 8006, 689, 5377, 547, 1283, 269, 3097, 258, 567, 10261, 547, 1847, 713, 10518, 540, 12210, 689, 11425, 589, 547, 11425, 595, 2687, 547, 519, 4341, 281, 3097, 258, 11434, 8307, 476, 272, 1167, 568, 11843, 693, 513, 942, 269, 3097, 258, 11434, 1656, 1152, 4130, 8006, 25923, 1058, 581, 5116, 593, 1283, 540, 3677, 8006, 25923, 269, 3097, 258, 11434, 4438, 519, 4483, 1184, 267, 621, 568, 4847, 547, 946, 11425, 645, 607, 606, 13591, 1611, 563, 258, 634, 1966, 568, 281, 15531, 513, 1259, 602, 3340, 519, 2547, 2179, 540, 12210, 3350, 454, 258, 476, 5785, 32458, 7042, 328, 815, 476, 271, 692, 3698, 1847, 3799, 267, 1376, 267, 9096, 267, 22302, 2187, 825, 2518, 1775, 454, 825, 952, 562, 2652, 476, 272, 912, 1038, 1820, 2891, 31161, 12210, 689, 4939, 322, 547, 4939, 322, 257, 4939, 630, 11034, 267, 21129, 880, 4917, 1038, 1775, 6834, 476, 272, 454, 1038, 2132, 454, 825, 3116, 912, 1038, 1847, 3799, 268, 272, 267, 1376, 267, 22302, 267, 9096, 994, 1038, 1847, 263, 272, 267, 1376, 267, 9096, 267, 22302, 994, 1038, 1847, 3799, 268, 272, 267, 22302, 267, 9096, 267, 1376, 2020, 3698, 1292, 10031, 825, 12210, 815, 703, 9272, 2891, 8923, 3403, 1297, 540, 12210, 281, 27328, 825, 1847, 263, 4134, 330, 267, 1412, 272, 3299, 1412, 274, 3299, 1412, 273, 5073, 825, 1820, 2891, 13707, 1297, 540, 7575, 815, 4939, 323, 14826, 257, 4939, 1775, 994, 825, 2132, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 454, 12163, 4449, 17264, 30577, 2296, 692, 2414, 1376, 267, 649, 786, 5352, 513, 4351, 954, 3455, 1063, 476, 272, 543, 476, 2764, 267, 543, 1759, 454, 517, 519, 1267, 540, 519, 4351, 1297, 267, 649, 2638, 547, 1294, 952, 621, 8813, 896, 513, 1978, 2039, 269, 3097, 2252, 519, 1297, 568, 3152, 982, 476, 1428, 267, 1287, 519, 2164, 786, 581, 834, 290, 615, 1845, 20350, 1278, 3772, 952, 519, 1297, 3436, 476, 1015, 267, 1287, 519, 1267, 786, 581, 834, 7775, 1052, 2580, 3097, 1278, 3772, 952, 519, 1297, 3436, 476, 276, 267, 1287, 519, 1267, 786, 581, 834, 5522, 636, 2580, 3097, 1278, 3772, 952, 519, 1297, 3436, 476, 273, 267, 1287, 519, 1267, 786, 581, 834, 27839, 517, 20350, 1278, 3772, 952, 519, 1297, 3436, 476, 272, 267, 1287, 519, 759, 4157, 337, 786, 581, 834, 289, 749, 20350, 604, 519, 1297, 568, 711, 1022, 540, 519, 1657, 267, 1287, 519, 1267, 786, 581, 834, 21574, 28847, 2171, 621, 4733, 936, 1210, 513, 8520, 1614, 2053, 543, 1820, 519, 2164, 547, 519, 3097, 12528, 269, 1306, 606, 1383, 834, 5522, 636, 22216, 1845, 5016, 12163, 0, 333, 267, 330, 284, 276, 267, 274, 454, 1721, 1775, 538, 2039, 263, 272, 267, 275, 2187, 825, 562, 284, 333, 268, 272, 454, 825, 585, 795, 538, 2039, 263, 272, 19885, 2187, 1038, 952, 795, 734, 330, 912, 2018, 1820, 17347, 994, 1038, 3116, 912, 2018, 1820, 17347, 10086, 265, 3299, 754, 8782, 5073, 825, 737, 284, 330, 268, 272, 454, 1721, 1775, 538, 2039, 263, 272, 267, 275, 2187, 825, 585, 561, 538, 476, 2039, 263, 272, 267, 275, 2187, 1038, 952, 561, 2525, 328, 912, 2018, 1820, 17347, 994, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 17347, 267, 24003, 3299, 1439, 8782, 5073, 0, 5814, 2979, 692, 3698, 7470, 553, 318, 714, 332, 6545, 320, 6262, 6511, 267, 22007, 335, 553, 318, 714, 11302, 2187, 825, 476, 714, 332, 6545, 320, 815, 22007, 335, 553, 318, 714, 11302, 2608, 524, 6511, 454, 825, 2132, 476, 714, 332, 6545, 320, 22562, 3698, 4781, 10031, 825, 1904, 815, 3403, 4590, 825, 1247, 6936, 912, 1038, 952, 1904, 2652, 834, 297, 257, 610, 1904, 2652, 834, 329, 13426, 2018, 2132, 6936, 454, 1038, 8640, 1904, 2652, 834, 301, 257, 610, 1904, 2652, 834, 333, 13426, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 1820, 2891, 297, 5953, 773, 341, 3385, 808, 10768, 642, 2967, 715, 14672, 32405, 2018, 2132, 4781, 4590, 8931, 6112, 6936, 912, 825, 524, 815, 3403, 2891, 296, 5271, 611, 2884, 524, 523, 340, 281, 19515, 825, 2119, 912, 1038, 524, 6511, 815, 10581, 6262, 994, 825, 4849, 28759, 912, 1038, 1820, 2891, 297, 5953, 773, 341, 3385, 1236, 7159, 2993, 256, 594, 5271, 611, 2884, 6063, 516, 714, 32405, 1038, 3136, 22562, 825, 512, 10983, 815, 3403, 2891, 296, 5271, 611, 2884, 22007, 335, 553, 476, 714, 332, 25207, 745, 281, 19515, 825, 2119, 912, 1038, 22007, 335, 553, 318, 714, 11302, 815, 10581, 6025, 10983, 994, 825, 4849, 28759, 912, 1038, 1820, 2891, 297, 5953, 773, 341, 3385, 1236, 7159, 2993, 256, 594, 5271, 611, 2884, 6063, 516, 714, 32405, 1038, 3136, 22562, 825, 1820, 2891, 714, 332, 6545, 553, 281, 19515, 825, 1820, 14116, 5090, 553, 318, 714, 332, 6545, 320, 6262, 6511, 267, 22007, 335, 553, 318, 714, 11302, 4917, 825, 1820, 19629, 333, 309, 2967, 808, 19476, 916, 3352, 795, 5953, 714, 557, 18480, 6063, 642, 1329, 340, 24203, 25207, 384, 371, 514, 5953, 329, 636, 340, 286, 5602, 825, 1820, 2891, 297, 5953, 263, 297, 10768, 264, 4449, 25639, 715, 25207, 18217, 14672, 264, 5602, 825, 952, 711, 4781, 263, 2567, 2736, 454, 2745, 2891, 291, 16808, 13682, 9346, 533, 23042, 580, 3279, 32405, 8931, 8931, 1363, 0, 12163, 2704, 2998, 281, 6744, 799, 540, 519, 3693, 568, 8273, 267, 543, 5330, 5944, 1832, 11093, 538, 15358, 272, 5044, 267, 543, 3526, 13586, 519, 4994, 540, 602, 5044, 780, 13425, 519, 11643, 3070, 609, 8292, 454, 12163, 5035, 8827, 912, 825, 1219, 19467, 4311, 267, 15358, 272, 267, 544, 267, 15358, 273, 267, 562, 2187, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 272, 538, 268, 2897, 3079, 563, 1038, 8173, 13872, 1038, 1948, 16448, 568, 602, 1312, 544, 543, 562, 616, 3152, 982, 476, 271, 454, 1038, 1247, 544, 3436, 476, 271, 543, 562, 3436, 476, 271, 912, 2018, 1948, 769, 713, 15358, 272, 3693, 568, 3152, 982, 15358, 273, 3693, 454, 2018, 952, 15358, 272, 314, 332, 268, 272, 316, 13843, 15358, 273, 19559, 268, 272, 14158, 3546, 15358, 272, 314, 332, 266, 333, 268, 272, 316, 815, 15358, 272, 314, 332, 268, 272, 2639, 3546, 544, 20699, 476, 272, 1948, 28206, 2084, 544, 1871, 607, 602, 3693, 814, 1044, 4988, 30032, 7672, 538, 15358, 272, 454, 2018, 3116, 912, 3546, 1948, 769, 713, 15358, 273, 3693, 568, 3152, 982, 15358, 272, 3693, 454, 3546, 15358, 272, 314, 332, 266, 333, 268, 272, 316, 815, 15358, 273, 19559, 268, 272, 2639, 3546, 562, 20699, 476, 272, 1948, 28206, 2084, 562, 1871, 607, 602, 3693, 814, 1044, 3769, 538, 15358, 272, 454, 4449, 454, 1038, 1948, 634, 2630, 835, 568, 519, 2013, 585, 1346, 2609, 538, 15358, 273, 799, 616, 4130, 538, 2013, 540, 519, 2783, 950, 544, 814, 1831, 476, 271, 269, 1924, 267, 3355, 562, 2609, 616, 23652, 689, 15358, 273, 547, 15358, 272, 269, 22322, 1038, 1948, 901, 568, 519, 2013, 950, 15358, 272, 568, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 316, 543, 15358, 273, 568, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 1038, 952, 562, 3436, 476, 271, 912, 2018, 15358, 272, 11468, 333, 316, 815, 15358, 273, 11468, 333, 2639, 27030, 333, 4548, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 271, 267, 271, 267, 271, 316, 3097, 332, 815, 476, 274, 454, 333, 4548, 273, 815, 1496, 273, 267, 276, 267, 277, 316, 11434, 454, 333, 815, 476, 274, 692, 2745, 263, 11405, 14061, 1067, 613, 25225, 272, 31599, 19885, 4548, 273, 19885, 4917, 2745, 9497, 306, 9285, 26275, 607, 15358, 272, 568, 281, 5602, 2745, 630, 333, 4548, 272, 264, 0, 12163, 8448, 5871, 13242, 13979, 568, 547, 798, 538, 4650, 21986, 531, 538, 25276, 1259, 630, 6518, 786, 1683, 5044, 538, 15044, 26799, 1931, 1070, 543, 1205, 519, 630, 330, 268, 272, 264, 628, 3693, 540, 713, 5044, 563, 692, 2704, 2998, 281, 5213, 1405, 798, 3003, 538, 4650, 21986, 531, 267, 3247, 1310, 8757, 737, 628, 3693, 538, 621, 780, 307, 5861, 269, 910, 744, 263, 295, 266, 330, 1070, 1141, 1412, 295, 262, 568, 4463, 540, 3529, 267, 799, 568, 744, 263, 8421, 715, 266, 330, 264, 585, 7059, 3529, 267, 543, 454, 3546, 744, 18217, 266, 330, 264, 585, 4625, 796, 29446, 3529, 267, 609, 782, 9136, 538, 2451, 5705, 872, 780, 1038, 29203, 568, 1317, 540, 10518, 799, 3568, 693, 548, 770, 670, 266, 330, 2609, 267, 4449, 567, 607, 1354, 1402, 4771, 856, 267, 835, 814, 547, 979, 547, 519, 6978, 780, 306, 5861, 269, 910, 744, 263, 295, 266, 330, 1070, 1482, 607, 570, 5861, 269, 910, 744, 18217, 266, 330, 264, 538, 10782, 2013, 267, 543, 744, 263, 8421, 715, 266, 330, 264, 538, 3328, 2013, 563, 20701, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 737, 628, 22102, 652, 4311, 267, 3597, 267, 737, 17107, 1038, 10518, 815, 29129, 1038, 1948, 7736, 1652, 8520, 267, 786, 2165, 3729, 267, 950, 4466, 519, 2838, 2626, 454, 1038, 1247, 6936, 1384, 2018, 1948, 24613, 547, 519, 2451, 2865, 6978, 540, 519, 3529, 454, 2018, 1247, 3597, 912, 3546, 10518, 6910, 20172, 994, 3546, 3597, 815, 3597, 16000, 692, 2018, 3597, 815, 10518, 21014, 3890, 476, 1948, 7377, 4771, 3693, 689, 519, 10518, 454, 2018, 737, 20699, 476, 272, 476, 1948, 28206, 13586, 737, 1169, 942, 692, 2018, 1948, 1879, 737, 3587, 476, 271, 267, 621, 786, 2132, 3597, 781, 1871, 538, 621, 2676, 2018, 1948, 799, 1131, 581, 737, 628, 10545, 1871, 454, 2018, 952, 630, 330, 2652, 476, 271, 2187, 3546, 2132, 3597, 22183, 692, 2018, 1948, 2311, 713, 1448, 267, 621, 4422, 883, 519, 1318, 1126, 540, 519, 3597, 454, 2018, 3597, 815, 3597, 16192, 692, 3698, 1292, 10031, 825, 3597, 815, 30741, 263, 276, 994, 825, 3597, 16000, 815, 30741, 263, 274, 994, 825, 3597, 16192, 815, 30741, 263, 277, 994, 825, 3597, 16000, 16000, 815, 30741, 263, 273, 994, 825, 3597, 16000, 16192, 815, 30741, 263, 275, 994, 825, 3597, 16000, 16000, 16000, 815, 30741, 263, 272, 2020, 825, 1820, 2891, 298, 628, 10545, 3693, 538, 645, 4306, 568, 281, 19515, 825, 1820, 263, 11405, 14061, 330, 628, 22102, 652, 20172, 267, 476, 274, 11723, 10852, 3890, 0, 12163, 2704, 2998, 281, 17179, 782, 627, 1080, 335, 2167, 676, 1210, 14816, 3890, 1599, 454, 825, 8307, 835, 11346, 568, 4847, 267, 952, 972, 616, 1079, 12427, 267, 621, 568, 23380, 543, 3976, 2132, 476, 271, 563, 825, 1403, 519, 3259, 540, 1412, 339, 5404, 262, 568, 476, 272, 267, 621, 1797, 519, 1412, 339, 5404, 262, 568, 1412, 271, 262, 610, 25962, 610, 21029, 3299, 865, 1058, 2132, 476, 271, 538, 519, 1599, 22562, 825, 1403, 519, 3259, 540, 1412, 339, 5404, 262, 568, 3152, 982, 476, 272, 267, 621, 1797, 519, 1412, 339, 5404, 262, 568, 1412, 271, 1862, 263, 11133, 1499, 264, 262, 610, 1412, 266, 1862, 263, 11133, 1499, 264, 262, 610, 21029, 1862, 263, 11133, 1499, 264, 3299, 1287, 946, 8870, 3196, 7503, 547, 1118, 1412, 339, 5404, 262, 547, 606, 8870, 692, 825, 1403, 519, 1267, 568, 856, 540, 519, 2039, 540, 2099, 762, 2418, 267, 10790, 311, 318, 19860, 610, 32745, 318, 19860, 568, 8120, 563, 20701, 5035, 8827, 912, 825, 1219, 1250, 288, 1729, 328, 4311, 267, 1193, 2187, 13872, 1038, 1193, 815, 1193, 14714, 8692, 3890, 1948, 3816, 8221, 16543, 335, 2167, 1210, 14816, 3890, 1599, 28329, 1038, 1948, 12476, 8865, 454, 1038, 952, 630, 6352, 19304, 264, 2652, 476, 271, 2187, 2018, 2132, 476, 271, 28329, 1038, 1948, 25849, 532, 10790, 311, 318, 19860, 543, 32745, 318, 19860, 2418, 454, 1038, 10790, 311, 318, 19860, 815, 476, 20969, 278, 4366, 3607, 275, 278, 454, 1038, 32745, 318, 19860, 815, 910, 20969, 278, 4366, 3607, 275, 279, 28329, 1038 ]

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

[ 13650, 267, 3404, 523, 267, 543, 5198, 9640, 941, 3833, 6093, 1851, 5375, 24067, 13946, 10367, 269, 26495, 16251, 267, 21495, 267, 3165, 267, 543, 1256, 930, 9345, 7068, 1413, 12212, 538, 891, 23572, 267, 11338, 563, 4913, 621, 568, 2356, 711, 2312, 875, 891, 23416, 941, 4294, 267, 855, 519, 1034, 8912, 7058, 568, 789, 941, 1750, 14954, 543, 7654, 22883, 610, 27762, 676, 1210, 513, 10612, 593, 519, 6821, 269, 630, 8967, 1712, 330, 476, 4029, 264, 634, 2495, 540, 891, 840, 3620, 626, 7595, 13946, 11247, 568, 15458, 269, 634, 3355, 2442, 569, 6444, 7664, 729, 602, 519, 13946, 10367, 1185, 1044, 513, 1826, 540, 3020, 26460, 547, 3142, 1434, 19539, 547, 519, 32339, 540, 519, 1920, 10130, 13269, 3330, 519, 7206, 269, 2290, 824, 3069, 30443, 6362, 3297, 519, 10367, 568, 602, 789, 1185, 1044, 2813, 547, 24901, 513, 27277, 741, 2205, 1006, 865, 602, 1426, 585, 519, 21962, 1522, 581, 10731, 563, 15563, 267, 513, 2442, 2495, 5267, 602, 891, 2010, 540, 23572, 1185, 1044, 513, 5870, 1747, 799, 15231, 13164, 8120, 547, 21496, 547, 6582, 22888, 543, 2797, 543, 1514, 24816, 269, 630, 8967, 1712, 330, 476, 4029, 264, 20290, 782, 540, 519, 2592, 1282, 891, 23572, 616, 4092, 2620, 3330, 519, 13946, 269, 898, 568, 9244, 5227, 602, 519, 5386, 1148, 568, 711, 2731, 13556, 538, 519, 5023, 538, 3232, 2070, 540, 13122, 2572, 267, 855, 621, 568, 2620, 3330, 519, 13946, 5631, 1317, 789, 941, 2966, 585, 23732, 269, 4595, 519, 10367, 941, 2808, 547, 581, 6402, 547, 3504, 14326, 799, 941, 4941, 538, 519, 4158, 17909, 540, 519, 2285, 998, 695, 16120, 2065, 12738, 563, 763, 13946, 5578, 543, 519, 17426, 1148, 540, 476, 1839, 267, 476, 1822, 268, 1015, 267, 476, 1822, 654, 269, 623, 269, 1376, 519, 1134, 8153, 2594, 540, 1480, 7499, 5137, 269, 21231, 649, 723, 1806, 540, 1018, 1480, 7919, 1036, 340, 12023, 1317, 4190, 543, 865, 4502, 2870, 543, 8497, 269, 3245, 713, 1974, 593, 1189, 267, 519, 7287, 547, 1711, 543, 5660, 26672, 528, 568, 851, 540, 519, 1480, 1686, 269, 634, 2285, 13144, 607, 1134, 2285, 721, 3823, 741, 15888, 3406, 585, 799, 1797, 543, 3483, 538, 1272, 269, 3776, 1148, 3091, 21286, 5920, 547, 938, 8223, 540, 267, 543, 938, 27811, 4555, 827, 267, 519, 1747, 538, 519, 1158, 563, 7437, 1142, 540, 938, 1148, 649, 782, 3801, 547, 1921, 609, 3677, 4229, 538, 519, 1158, 543, 5968, 609, 835, 824, 269, 630, 8967, 1712, 330, 476, 3953, 264, 18972, 1282, 1686, 723, 2907, 1044, 1102, 520, 18050, 609, 5898, 543, 2870, 14996, 775, 269, 634, 11944, 540, 30941, 18682, 16772, 18682, 16772, 568, 29064, 14356, 676, 7287, 540, 12572, 8360, 269, 12344, 621, 568, 835, 540, 519, 10305, 540, 1004, 602, 3142, 721, 3976, 2673, 1927, 1373, 513, 2489, 11317, 607, 649, 557, 2141, 5551, 513, 4276, 1851, 938, 4606, 543, 519, 2168, 1158, 269, 634, 1034, 4583, 8115, 1063, 891, 1079, 26441, 568, 602, 998, 1148, 563, 10303, 11247, 2934, 2094, 5532, 1004, 547, 782, 741, 4664, 540, 2168, 14996, 775, 267, 1434, 19539, 267, 519, 6891, 7122, 267, 543, 519, 21686, 540, 519, 1413, 269, 2290, 540, 519, 1034, 3504, 543, 1034, 1455, 26007, 538, 1148, 568, 513, 4276, 609, 519, 6891, 1158, 269, 1452, 4664, 540, 1620, 1272, 543, 1585, 2418, 538, 606, 519, 18205, 616, 26526, 3586, 2429, 782, 540, 1686, 543, 11247, 269, 2494, 29292, 814, 1185, 606, 1102, 520, 6672, 609, 11589, 891, 2010, 540, 6418, 4555, 540, 6161, 267, 3483, 267, 543, 7553, 543, 814, 1044, 3586, 2094, 840, 3620, 626, 800, 883, 519, 1459, 543, 786, 1034, 2693, 2611, 513, 851, 540, 1480, 1158, 2394, 519, 1439, 540, 6228, 269, 0, 274, 7160, 540, 654, 11208, 538, 519, 2038, 5939, 1336, 538, 519, 17048, 563, 310, 11208, 538, 519, 2038, 5939, 454, 305, 19563, 623, 269, 9410, 454, 347, 13750, 618, 1475, 2421, 25453, 623, 269, 9410, 8198, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 13893, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 13893, 2008, 763, 772, 7949, 807, 3883, 269, 7433, 634, 17959, 540, 654, 11208, 269, 20465, 623, 6020, 11085, 20937, 4984, 1185, 513, 1979, 11043, 5169, 267, 513, 2067, 12105, 1646, 267, 11735, 689, 5837, 12205, 543, 6306, 689, 782, 5289, 7506, 269, 634, 2362, 2831, 723, 12194, 855, 1100, 2192, 16272, 267, 8754, 1100, 4984, 269, 2494, 5932, 1010, 18642, 10764, 856, 540, 1010, 12194, 543, 676, 1797, 540, 1010, 2192, 16272, 269, 1809, 950, 519, 5783, 814, 1831, 519, 2881, 2692, 2599, 3297, 519, 4108, 3684, 23121, 26490, 1947, 9718, 610, 3895, 3084, 4690, 1765, 933, 25176, 689, 938, 2038, 5939, 5072, 267, 4171, 14336, 4800, 547, 2696, 779, 8003, 1629, 6838, 741, 14336, 4800, 547, 7507, 779, 10806, 269, 1215, 1284, 5530, 519, 6426, 269, 634, 2038, 5939, 849, 12595, 519, 9746, 1353, 540, 519, 6426, 563, 763, 7216, 5783, 269, 524, 269, 476, 1789, 5940, 3307, 1161, 540, 968, 27716, 4658, 892, 538, 13243, 1331, 3232, 11454, 10847, 267, 19001, 267, 19980, 956, 685, 3450, 267, 31776, 267, 8840, 540, 3694, 267, 29080, 269, 524, 269, 476, 3451, 3689, 968, 1372, 659, 976, 269, 1452, 2038, 21071, 1705, 711, 723, 5939, 5656, 547, 2743, 538, 269, 1358, 1558, 6140, 538, 5321, 269, 634, 1101, 5939, 5656, 1705, 711, 1376, 547, 2408, 2394, 519, 2038, 521, 269, 13891, 622, 855, 711, 29559, 269, 634, 2038, 5939, 1705, 711, 723, 29559, 607, 649, 1589, 540, 873, 2221, 269, 1809, 602, 1281, 711, 1611, 789, 1185, 1100, 3978, 22195, 1369, 519, 16034, 269, 1358, 563, 8016, 9448, 7089, 281, 13517, 281, 3817, 6902, 476, 866, 4699, 281, 12937, 281, 634, 5783, 281, 589, 26902, 6235, 2146, 4534, 763, 6014, 18472, 538, 519, 13527, 543, 14271, 698, 4084, 4534, 763, 19001, 543, 9299, 2478, 540, 519, 1715, 11620, 4534, 295, 2096, 985, 543, 5289, 8964, 4534, 763, 4806, 540, 3280, 1913, 281, 7216, 1212, 2644, 543, 21334, 687, 540, 5132, 4534, 763, 18591, 540, 519, 2262, 4534, 3519, 1356, 940, 519, 4015, 281, 4168, 19642, 4534, 763, 20227, 269, 654, 11208, 538, 519, 7216, 5783, 786, 1683, 513, 3730, 7650, 540, 519, 1455, 8017, 543, 3604, 538, 10847, 5389, 1369, 519, 5783, 267, 711, 1152, 2066, 942, 855, 849, 2066, 2230, 1677, 3605, 891, 2038, 12591, 593, 10847, 568, 547, 3605, 513, 6891, 602, 814, 1044, 4503, 538, 938, 2413, 2433, 18039, 808, 9652, 563, 763, 14470, 8878, 269, 734, 454, 3118, 540, 519, 9061, 585, 519, 9082, 7589, 454, 2419, 691, 532, 513, 1576, 585, 519, 26609, 7345, 27347, 1117, 454, 20931, 540, 519, 24614, 4123, 1347, 885, 454, 19733, 585, 15076, 454, 24961, 543, 3391, 547, 519, 2961, 756, 5622, 4154, 15183, 540, 3703, 12052, 454, 10048, 543, 1010, 2470, 454, 2026, 952, 1373, 476, 1321, 476, 274, 270, 275, 568, 660, 3983, 2614, 267, 1250, 3993, 568, 4881, 585, 7022, 2336, 4467, 1584, 619, 543, 741, 3156, 454, 22137, 593, 519, 7607, 540, 1236, 27570, 8778, 832, 454, 309, 619, 320, 14792, 543, 519, 570, 6929, 976, 454, 21798, 2500, 6908, 3766, 1645, 2994, 585, 519, 2539, 12548, 5211, 19438, 454, 763, 13343, 3240, 595, 1251, 24824, 1650, 454, 32715, 619, 543, 1920, 5491, 454, 310, 11208, 538, 519, 7216, 5783, 269, 1323, 4367, 547, 519, 1715, 11620, 3450, 7282, 519, 2038, 4168, 3741, 543, 2853, 540, 9746, 10847, 563, 16449, 519, 3584, 9410, 15109, 616, 19001, 543, 9299, 2478, 267, 1212, 2644, 543, 21334, 687, 267, 840, 2286, 267, 17008, 267, 543, 5485, 571, 906, 270, 276, 263, 1015, 1040, 654, 11208, 538, 519, 7216, 5783, 543, 6634, 540, 824, 2835, 616, 2139, 585, 8835, 28632, 563, 310, 11208, 538, 519, 2038, 5939, 1433, 707, 5985, 1297, 610, 4757, 2232, 2630, 543, 649, 3513, 6494, 596, 513, 3095, 547, 4647, 519, 1863, 28632, 2561, 269, 3973, 596, 666, 1376, 2542, 28632, 2835, 593, 707, 16335, 267, 16979, 267, 610, 2780, 910, 1100, 28632, 3926, 676, 281, 654, 11208, 538, 519, 7216, 5783, 568, 513, 2185, 31891, 4015, 540, 32461, 689, 2038, 4168, 12591, 20515, 519, 5783, 781, 1396, 17790, 2259, 538, 1312, 5101, 543, 4639, 267, 689, 922, 6014, 20297, 998, 519, 1439, 540, 519, 15795, 2540, 563, 1607, 7131, 268, 15375, 2882, 519, 1543, 689, 1142, 4320, 538, 835, 10375, 7300, 3758, 269, 275, 270, 276, 263, 272, 1040, 654, 11208, 538, 519, 7216, 5783, 568, 513, 3638, 14951, 7708, 557, 540, 2707, 2326, 585, 1346, 945, 1353, 2038, 4168, 10847, 269, 901, 16320, 1108, 3947, 873, 1569, 547, 2296, 16627, 540, 513, 2647, 2039, 540, 3504, 2959, 602, 949, 711, 581, 6382, 2139, 547, 2433, 18039, 808, 563, 297, 28427, 269, 634, 654, 11208, 540, 519, 7216, 5783, 28980, 1107, 5130, 476, 272, 267, 676, 30544, 670, 23167, 630, 12041, 264, 15955, 16731, 8835, 781, 30544, 670, 23167, 8525, 563, 8340, 782, 519, 2835, 267, 1224, 827, 519, 2278, 267, 543, 811, 269, 6423, 3406, 2164, 585, 713, 2278, 269, 3657, 596, 606, 2278, 269, 6258, 827, 8191, 6239, 24764, 676, 281, 901, 568, 513, 8499, 4081, 1413, 693, 519, 10847, 538, 519, 2038, 5939, 563, 32354, 15211, 721, 998, 519, 3270, 267, 6208, 267, 543, 7215, 540, 10847, 538, 519, 2038, 22344, 5939, 269, 898, 568, 711, 513, 1279, 1433, 1315, 276, 263, 273, 1040, 901, 1433, 3217, 835, 606, 4277, 3460, 540, 2038, 4168, 10847, 606, 3746, 2478, 875, 18497, 19771, 948, 9160, 543, 6992, 1047, 10847, 543, 2146, 538, 519, 1101, 476, 275, 5553, 563, 2026, 513, 960, 267, 621, 568, 3810, 28505, 543, 621, 1131, 581, 513, 3730, 1840, 547, 4896, 781, 4015, 945, 568, 476, 275, 270, 276, 563, 342, 11208, 538, 519, 2038, 5939, 634, 1034, 2596, 968, 9711, 540, 10847, 892, 538, 519, 2038, 5939, 941, 519, 2542, 543, 1163, 3789, 540, 23075, 267, 11755, 267, 519, 13465, 540, 533, 15680, 916, 267, 1728, 332, 985, 267, 543, 5289, 8964, 267, 543, 519, 2616, 766, 540, 519, 5485, 571, 906, 282, 782, 540, 891, 941, 6508, 689, 519, 269, 589, 1297, 540, 2835, 16785, 1880, 2152, 540, 10847, 538, 519, 2038, 5939, 563, 2690, 1383, 267, 519, 3232, 5604, 1496, 2675, 7359, 540, 11755, 316, 538, 3032, 1117, 23552, 543, 20708, 625, 568, 6594, 538, 6754, 674, 269, 4858, 1091, 24849, 267, 11545, 27302, 538, 519, 7216, 5783, 630, 23682, 5112, 267, 15426, 634, 661, 1276, 30658, 540, 519, 2038, 10271, 568, 5701, 538, 27068, 667, 1460, 543, 8361, 932, 611, 19213, 267, 32308, 563, 1432, 1281, 713, 4001, 721, 827, 10847, 538, 519, 2038, 5939, 269, 630, 5445, 941, 1869, 20547, 2101, 22258, 2152, 4700, 2913, 781, 1413, 1586, 693, 20450, 1284, 4121, 602, 519, 10513, 13336, 729, 2907, 2324, 609, 4906, 547, 4051, 3571, 13794, 269, 1548, 568, 4906, 9621, 950, 1261, 563, 32354, 12116, 519, 3344, 540, 2038, 4168, 26902, 2089, 2001, 619, 543, 9299, 2478, 267, 13465, 267, 1212, 2644, 543, 21334, 687, 267, 840, 2286, 267, 17008, 267, 543, 5485, 26963, 560, 334, 6536, 17105, 1719, 538, 519, 1272, 543, 10847, 540, 2221, 781, 13039, 563, 335, 1137, 267, 2571, 16225, 689, 2433, 16179, 654, 11208, 538, 519, 7216, 5783, 4860, 2213, 676, 9410, 267, 25453, 623, 269, 630, 25835, 281, 3738, 689, 8835, 781, 3883, 15188, 269, 28064, 1970, 5777, 543, 1863, 6765, 593, 14718, 9753, 270, 276, 263, 276, 1040, 13028, 7172, 4115, 5498, 21124, 1382, 2200, 593, 7216, 8567, 689, 519, 2372, 652, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 267, 17476, 267, 14786, 543, 811, 563, 12709, 14872, 25873, 14872, 15215, 14872, 8567, 14872, 3778, 540, 8567, 14872, 7216, 4168, 5783, 14872, 7216, 8567, 269, 9768, 281, 32726, 9448, 7089, 281, 13517, 281, 3817, 6902, 476, 2420, 4699, 269, 12937, 281, 634, 5939, 281, 589, 26902, 6235, 2146, 4534, 763, 6014, 18472, 538, 519, 13527, 543, 31263, 4084, 4534, 763, 19001, 543, 9299, 2478, 540, 519, 1715, 11620, 4534, 295, 2096, 985, 543, 5289, 8964, 4534, 262, 763, 4806, 540, 3280, 1913, 9166, 7216, 1212, 2644, 543, 21334, 687, 540, 5132, 4534, 763, 18591, 540, 519, 6478, 4534, 262, 3519, 1356, 940, 519, 4015, 563, 7476, 713, 689, 513, 5399, 269, 654, 11208, 538, 519, 2038, 5939, 269, 1496, 305, 19563, 623, 9410, 316, 4534, 11929, 1149, 519, 2470, 540, 4168, 10847, 267, 922, 12738, 267, 543, 922, 1686 ]

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

[ 3066, 4873, 476, 3192, 274, 282, 19622, 593, 476, 4029, 2904, 476, 2735, 271, 282, 5747, 593, 476, 279, 4728, 476, 1220, 276, 8198, 347, 2735, 271, 1475, 2735, 277, 1475, 294, 20423, 5062, 300, 1638, 534, 1475, 16978, 539, 593, 476, 1724, 4873, 543, 13394, 3603, 593, 476, 278, 5181, 476, 2735, 271, 282, 12261, 547, 13560, 543, 667, 668, 648, 538, 476, 2735, 277, 8198, 347, 2735, 277, 1475, 1220, 272, 1475, 289, 6929, 670, 27553, 1475, 16978, 539, 543, 13394, 3603, 538, 476, 2735, 277, 282, 19622, 593, 476, 276, 5239, 476, 1220, 272, 8198, 347, 1220, 273, 1475, 1001, 272, 1475, 28061, 12722, 1475, 16978, 539, 593, 476, 2641, 5437, 476, 1220, 272, 543, 13394, 3603, 593, 476, 277, 4728, 476, 1220, 273, 282, 12261, 547, 25212, 1299, 3794, 754, 531, 965, 593, 476, 279, 2904, 476, 1001, 272, 2008, 347, 1001, 272, 1475, 30005, 1475, 11990, 22413, 578, 749, 1475, 7343, 31212, 676, 519, 5600, 540, 645, 25615, 593, 476, 1789, 2904, 476, 1001, 272, 543, 13394, 3603, 593, 476, 2537, 5181, 476, 1001, 272, 8198, 268, 4144, 665, 3150, 540, 1849, 690, 615, 454, 268, 3776, 9697, 1117, 23552, 281, 4144, 665, 3150, 540, 1849, 690, 615, 454, 268, 853, 5839, 691, 534, 1107, 476, 5611, 271, 1296, 540, 5132, 630, 13312, 665, 3150, 540, 1849, 690, 615, 994, 268, 1849, 690, 615, 23464, 543, 1612, 8460, 1496, 332, 2222, 845, 316, 2433, 1373, 606, 2272, 540, 519, 23464, 540, 519, 5783, 540, 8581, 538, 519, 4144, 665, 3150, 540, 1849, 690, 615, 267, 689, 519, 9998, 1974, 267, 609, 3140, 711, 1182, 540, 519, 1896, 1612, 8460, 267, 13039, 267, 3092, 269, 25201, 3820, 269, 8158, 593, 476, 2537, 5147, 476, 1001, 274, 563, 268, 5783, 540, 8581, 1107, 589, 11662, 540, 519, 29842, 534, 4004, 542, 269, 8581, 269, 836, 997, 534, 3820, 269, 8158, 593, 476, 2537, 5147, 476, 1001, 274, 563, 268, 634, 4144, 665, 3150, 540, 1849, 690, 615, 281, 9697, 1117, 23552, 454, 268, 8466, 1967, 687, 281, 1849, 690, 615, 910, 595, 13702, 5112, 781, 1849, 518, 673, 30615, 454, 268, 674, 787, 1372, 1696, 620, 269, 476, 2735, 277, 267, 18361, 540, 3703, 20048, 1108, 267, 6032, 269, 476, 29876, 1700, 26552, 563, 268, 29158, 476, 7277, 280, 267, 634, 19435, 540, 21853, 3122, 267, 6032, 269, 476, 10463, 1700, 6507, 563, 268, 28239, 344, 267, 9410, 1299, 1635, 337, 928, 476, 2735, 275, 267, 589, 1715, 3778, 540, 8581, 267, 4320, 26577, 267, 6032, 269, 476, 24129, 1700, 22550, 563, 268, 834, 18184, 532, 9730, 5240, 1107, 4728, 476, 1220, 276, 2668, 5783, 540, 8581, 269, 476, 1428, 4728, 476, 1220, 276, 269, 5291, 2517, 4178, 269, 790, 1633, 269, 836, 997, 534, 3820, 27651, 21703, 286, 4777, 284, 18080, 261, 18080, 573, 284, 279, 6246, 563, 268, 3026, 650, 267, 15623, 630, 1960, 276, 1040, 834, 305, 339, 4860, 23583, 5062, 300, 1638, 534, 2668, 8278, 3380, 807, 1546, 3220, 636, 281, 1234, 3712, 27928, 540, 519, 3474, 880, 540, 3220, 3518, 1122, 267, 4144, 665, 3150, 540, 13560, 269, 5291, 2517, 5894, 14315, 2593, 270, 9248, 7933, 337, 3518, 1122, 7933, 337, 3518, 1122, 273, 11258, 258, 332, 9492, 1638, 534, 269, 8158, 476, 2641, 4873, 476, 1220, 280, 563, 268, 834, 5141, 690, 615, 4144, 665, 3150, 3081, 24214, 6202, 547, 1427, 3931, 24649, 2668, 5783, 540, 8581, 269, 476, 1428, 4728, 476, 1220, 276, 269, 5291, 2517, 4178, 269, 790, 1633, 269, 836, 997, 534, 3820, 270, 1105, 1161, 9706, 816, 516, 548, 1162, 270, 1440, 1105, 633, 1220, 272, 270, 7315, 26078, 11258, 563, 268, 674, 787, 1372, 1696, 620, 269, 476, 2735, 277, 267, 18361, 540, 3703, 20048, 1108, 267, 6032, 269, 476, 4343, 273, 1700, 4343, 274, 563, 268, 29158, 476, 7277, 280, 267, 634, 19435, 540, 21853, 3122, 267, 6032, 269, 476, 6507, 1700, 10019, 563, 268, 28239, 344, 267, 9410, 1299, 1635, 337, 928, 476, 2735, 275, 267, 589, 1715, 3778, 540, 8581, 267, 4320, 26577, 267, 6032, 269, 476, 31256, 1700, 4375, 278, 269, 0, 30531, 8314, 568, 519, 4102, 15170, 676, 2344, 3854, 5314, 543, 519, 1034, 1134, 1634, 15170, 269, 634, 11670, 23204, 729, 1101, 5950, 538, 476, 1220, 279, 676, 606, 20822, 4137, 676, 519, 2012, 540, 9045, 25493, 26981, 558, 9369, 538, 513, 1957, 1572, 281, 834, 30531, 8314, 281, 589, 25398, 547, 25398, 18329, 22418, 3590, 6100, 901, 1957, 6069, 519, 19577, 540, 4518, 7014, 607, 513, 3070, 547, 519, 834, 29602, 6108, 257, 1966, 7915, 538, 3059, 9304, 563, 13707, 3761, 540, 9779, 23915, 568, 1309, 5529, 693, 476, 2641, 2929, 269, 634, 10545, 1770, 568, 519, 476, 279, 628, 8918, 1747, 267, 476, 271, 269, 1822, 1822, 4905, 645, 12839, 799, 568, 1572, 513, 9045, 25493, 630, 528, 2893, 1040, 634, 3060, 568, 9738, 676, 19379, 945, 19472, 543, 2328, 8852, 883, 519, 11670, 9893, 3842, 519, 19577, 540, 4518, 7014, 269, 3687, 619, 616, 10996, 643, 2213, 676, 1373, 30039, 609, 9779, 23915, 269, 901, 8007, 568, 10300, 1386, 5111, 1169, 476, 275, 1296, 269, 0, 763, 2035, 540, 1761, 3977, 543, 519, 3977, 7934, 616, 3844, 547, 519, 22558, 293, 779, 10763, 960, 538, 3246, 3609, 7840, 547, 4759, 6608, 269, 901, 1883, 1909, 814, 25623, 1382, 693, 519, 22558, 293, 547, 1020, 543, 13217, 16759, 2553, 269, 901, 1957, 26564, 519, 12191, 543, 2164, 540, 22558, 293, 1382, 593, 1761, 3977, 267, 799, 814, 5631, 5059, 593, 519, 4853, 2477, 267, 855, 811, 5063, 814, 9619, 2152, 1644, 547, 3384, 2477, 543, 2477, 538, 5912, 269, 898, 1287, 11828, 519, 4485, 602, 2197, 11380, 10492, 946, 585, 10512, 5301, 267, 543, 6799, 9193, 540, 1761, 3977, 585, 519, 2101, 4853, 2477, 269, 1496, 297, 5085, 281, 661, 274, 14073, 763, 2035, 540, 1761, 3977, 543, 519, 3977, 7934, 616, 3844, 547, 519, 22558, 293, 779, 10763, 960, 538, 3246, 3609, 7840, 547, 4759, 2197, 6608, 269, 11724, 532, 519, 4346, 779, 3761, 2427, 267, 1761, 3977, 568, 519, 5021, 3977, 606, 4346, 666, 2844, 1510, 10451, 513, 4473, 538, 10637, 269, 3683, 519, 5420, 2165, 267, 519, 6059, 7678, 538, 1761, 3977, 2337, 3313, 519, 10605, 540, 4264, 2208, 269, 769, 519, 2110, 2165, 267, 9193, 540, 519, 7934, 1063, 4890, 543, 1761, 3977, 1683, 513, 1883, 25162, 1996, 799, 547, 2708, 10637, 776, 12503, 269, 15783, 3977, 543, 519, 3977, 7934, 616, 1031, 538, 7814, 1227, 14577, 4632, 547, 2992, 519, 2157, 602, 1131, 2291, 952, 519, 4346, 941, 538, 9444, 513, 21748, 6862, 606, 10637, 776, 7269, 269, 1280, 1383, 267, 547, 15378, 3356, 538, 16642, 28051, 267, 513, 7814, 1227, 14661, 6578, 3666, 2488, 513, 2268, 540, 519, 5817, 610, 7293, 16642, 2990, 267, 799, 568, 519, 4890, 6578, 3666, 22621, 585, 519, 2360, 540, 11651, 326, 1878, 540, 4890, 689, 1761, 3977, 269, 25824, 2209, 540, 2477, 685, 1483, 5385, 3928, 1759, 593, 7814, 1227, 14661, 1770, 4074, 3790, 616, 849, 3730, 585, 5464, 5322, 538, 3486, 28211, 563, 763, 1883, 1909, 5129, 676, 519, 1523, 540, 1761, 3977, 538, 519, 13178, 960, 540, 519, 22558, 293, 814, 25623, 1382, 547, 1020, 543, 13217, 16759, 2553, 269, 4107, 540, 713, 1382, 814, 13671, 593, 519, 2504, 1599, 1935, 267, 799, 2337, 547, 2697, 519, 2188, 7700, 547, 2242, 538, 519, 2208, 2557, 540, 1761, 3977, 936, 519, 2063, 1614, 5756, 269, 769, 1840, 267, 713, 1382, 814, 6462, 3646, 676, 22558, 293, 24192, 2324, 593, 1880, 2477, 610, 538, 513, 1617, 10561, 2796, 547, 7447, 1761, 3977, 585, 10512, 5301, 269, 898, 568, 1271, 547, 4063, 267, 2705, 267, 602, 2197, 11380, 10492, 616, 711, 8078, 539, 547, 1246, 513, 13387, 12191, 269, 13298, 267, 2197, 10391, 6381, 723, 22157, 547, 3310, 519, 12191, 1031, 538, 2474, 540, 519, 2489, 1935, 267, 519, 1808, 3877, 540, 519, 1935, 267, 543, 519, 6708, 547, 799, 10385, 568, 4547, 547, 7703, 593, 519, 2164, 269, 634, 14230, 540, 713, 1957, 26564, 519, 12191, 543, 2164, 540, 22558, 293, 1382, 593, 1761, 3977, 267, 799, 814, 5059, 5631, 593, 519, 4853, 2477, 267, 855, 811, 5063, 814, 9619, 2152, 1644, 547, 3384, 2477, 543, 2477, 538, 5912, 269, 898, 1287, 11828, 519, 4485, 2197, 11380, 10492, 946, 585, 10512, 5301, 543, 6799, 1699, 9193, 540, 1761, 3977, 585, 519, 2101, 4853, 2477, 267, 607, 5781, 3370, 538, 519, 22558, 293, 779, 2622, 9483, 31326, 563, 8379, 293, 3194, 593, 6480, 26305, 15783, 19243, 454, 22025, 1113, 3977, 543, 519, 3977, 7934, 616, 796, 10849, 5703, 4632, 543, 616, 2352, 547, 7447, 538, 513, 4625, 25685, 6073, 269, 634, 7839, 16126, 593, 1761, 3977, 607, 513, 1797, 540, 12570, 2804, 2534, 814, 8507, 538, 519, 1646, 540, 513, 3376, 2039, 540, 2553, 1765, 333, 821, 616, 1863, 689, 7965, 30147, 782, 547, 930, 6708, 7048, 593, 10385, 269, 22558, 293, 1382, 593, 21501, 1761, 3977, 814, 5631, 13671, 593, 3384, 543, 7311, 519, 2504, 1599, 1935, 585, 519, 4853, 2477, 269, 901, 1505, 12799, 3631, 3977, 538, 2474, 540, 5817, 3815, 11378, 543, 3322, 28408, 543, 21501, 2504, 3252, 602, 3095, 3977, 547, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 269, 15783, 3977, 568, 1287, 7229, 607, 519, 1377, 540, 3977, 602, 2164, 950, 519, 3928, 540, 4390, 13345, 616, 968, 7538, 2223, 950, 4074, 3403, 568, 5812, 609, 519, 2067, 2557, 540, 13864, 267, 543, 950, 2698, 3815, 7607, 568, 693, 922, 7678, 1377, 563, 763, 2504, 1599, 12191, 267, 607, 8045, 693, 519, 22558, 293, 267, 4564, 519, 1647, 2666, 1063, 513, 2407, 8397, 7293, 2203, 547, 3313, 1761, 3977, 543, 519, 811, 7344, 796, 21725, 4485, 971, 607, 519, 5302, 7757, 2389, 16781, 1935, 610, 519, 32095, 4459, 6261, 637, 22574, 6882, 269, 272, 6480, 11582, 12346, 593, 25412, 513, 6198, 1106, 593, 519, 2504, 1184, 267, 855, 1281, 711, 2154, 8763, 9781, 540, 519, 3747, 543, 3761, 540, 2188, 540, 2504, 610, 519, 21876, 540, 2698, 3815, 7607, 269, 901, 1935, 267, 2705, 267, 17697, 569, 17648, 602, 630, 272, 264, 538, 519, 2110, 2196, 267, 519, 1761, 11378, 540, 3854, 543, 4074, 666, 581, 5462, 676, 519, 2623, 540, 13864, 3448, 547, 922, 2067, 2557, 543, 519, 11539, 540, 3977, 689, 922, 3339, 1377, 282, 543, 630, 273, 264, 519, 2208, 540, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 22993, 538, 20327, 540, 1761, 3977, 666, 21230, 581, 1759, 593, 21520, 827, 3466, 538, 519, 12550, 324, 1595, 344, 563, 1607, 1935, 814, 513, 1297, 540, 5383, 936, 796, 21725, 2553, 269, 898, 2636, 585, 606, 8763, 8051, 585, 2208, 538, 2474, 540, 519, 7418, 540, 3854, 267, 4074, 267, 543, 2698, 3815, 7607, 269, 4475, 267, 621, 568, 2009, 547, 10250, 519, 1764, 540, 1585, 2250, 2804, 18063, 593, 1761, 3977, 267, 607, 1134, 607, 547, 7447, 519, 1764, 540, 1699, 610, 15810, 18063, 593, 2104, 2157, 540, 1761, 3977, 563, 2467, 616, 267, 2705, 267, 513, 1297, 540, 19363, 269, 634, 1239, 4170, 616, 1713, 267, 609, 930, 4632, 971, 607, 519, 3854, 6006, 3226, 2352, 547, 2268, 543, 9337, 269, 6271, 7411, 568, 602, 1483, 3977, 1821, 28179, 18928, 689, 519, 1377, 2016, 676, 3815, 11378, 267, 543, 519, 3017, 568, 2356, 607, 8282, 547, 2698, 3815, 7607, 2208, 269, 4595, 2698, 3815, 7607, 568, 711, 2047, 28507, 267, 21501, 922, 7678, 13514, 1082, 540, 519, 1482, 2591, 543, 24604, 607, 21501, 1761, 3977, 563, 9209, 639, 630, 3192, 278, 264, 729, 519, 1101, 22558, 293, 1382, 1353, 547, 9772, 519, 2504, 1599, 1505, 547, 7447, 1761, 3977, 269, 273, 589, 29154, 321, 5937, 537, 6921, 553, 2504, 1599, 609, 3586, 2671, 6724, 585, 4074, 543, 3854, 729, 1031, 607, 513, 7811, 4493, 538, 21501, 5812, 1761, 3977, 3126, 538, 519, 5663, 5823, 585, 5216, 4853, 2477, 585, 519, 1974, 476, 4198, 276, 1700, 4037, 267, 543, 1788, 532, 891, 3126, 585, 519, 5420, 2165, 630, 3192, 277, 1700, 4281, 1040, 623, 944, 539, 942, 1606, 7685, 3444, 16687, 9695, 2553, 941, 1031, 547, 1450, 585, 513, 3677, 1297, 540, 4632, 27137, 607, 519, 4720, 540, 519, 1611, 2085, 540, 519, 3854, 6006, 267, 519, 2333, 538, 519, 3902, 540, 1648, 267, 543, 824, 2188, 1808, 547, 1978, 2477, 23121, 581, 3144, 883, 2272, 538, 21501, 1761, 3977, 269, 14502, 3356, 729, 5701 ]

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

[ 26780, 281, 589, 3122, 1355, 476, 4198, 271, 21096, 568, 16144, 2509, 3047, 693, 513, 1360, 3728, 2557, 543, 519, 16580, 1522, 1439, 519, 1272, 593, 519, 4541, 267, 621, 814, 1044, 4080, 563, 288, 3122, 1355, 799, 814, 476, 272, 267, 1822, 15432, 538, 8006, 1223, 2387, 8243, 1662, 319, 883, 519, 4541, 693, 5176, 476, 2412, 267, 1822, 5195, 829, 5662, 267, 799, 1223, 2014, 606, 16411, 540, 13778, 17114, 267, 24254, 5458, 20016, 600, 529, 5827, 540, 8720, 3003, 4872, 267, 519, 11545, 10060, 4080, 563, 22498, 5049, 1022, 20503, 609, 513, 8006, 540, 936, 476, 2004, 15432, 607, 513, 1761, 834, 322, 640, 10275, 14525, 2668, 634, 4224, 814, 1044, 10413, 1782, 998, 2230, 865, 3728, 602, 621, 814, 4810, 834, 17463, 8904, 8487, 2704, 1301, 5944, 519, 4224, 814, 513, 476, 4968, 270, 272, 4960, 540, 11495, 3047, 609, 519, 1699, 10567, 1764, 5116, 693, 4728, 476, 1626, 267, 476, 25971, 271, 269, 15907, 476, 5780, 332, 1296, 3516, 513, 9649, 20503, 1835, 14414, 1524, 538, 6792, 267, 530, 31441, 856, 519, 2063, 540, 519, 17878, 607, 1134, 607, 1034, 540, 519, 4541, 26141, 2030, 1272, 563, 5415, 689, 3127, 454, 5415, 689, 2622, 454, 5415, 689, 11846, 454, 5415, 689, 9373, 339, 2727, 550, 454, 268, 476, 2190, 4666, 1310, 10935, 8876, 476, 2412, 11503, 3278, 538, 5757, 717, 18553, 538, 4793, 3534, 282, 1082, 1869, 7508, 454, 268, 3733, 4651, 4941, 803, 547, 581, 513, 812, 540, 1915, 281, 18937, 329, 582, 19453, 590, 1342, 16852, 454, 268, 3220, 4427, 327, 1662, 932, 18588, 8058, 281, 1548, 4162, 5581, 513, 3020, 6205, 888, 268, 12875, 1235, 26600, 547, 2494, 8932, 607, 6777, 6420, 3217, 513, 2110, 2736, 454, 268, 1772, 13019, 327, 3796, 327, 962, 611, 822, 6772, 8504, 12356, 607, 25109, 599, 600, 19453, 16957, 888, 268, 2806, 20130, 515, 330, 29732, 2559, 8761, 519, 4090, 950, 589, 880, 342, 776, 320, 681, 2967, 1767, 1412, 13433, 262, 547, 1864, 454, 268, 3127, 5288, 4789, 267, 476, 272, 560, 744, 14888, 281, 1306, 621, 5949, 2483, 268, 3127, 5288, 4789, 267, 623, 2317, 744, 14888, 281, 9049, 20144, 18223, 1869, 519, 20148, 282, 12410, 806, 5164, 520, 918, 2129, 2993, 609, 5544, 593, 667, 11965, 1289, 2443, 654, 2969, 6224, 454, 268, 3127, 5288, 4789, 267, 476, 272, 560, 744, 14888, 281, 24497, 747, 663, 3757, 1306, 3369, 514, 2848, 1023, 519, 1397, 609, 5458, 3670, 2443, 654, 2969, 6224, 454, 268, 8891, 1503, 3902, 554, 27419, 676, 476, 5655, 533, 9820, 320, 829, 1396, 516, 267, 17088, 676, 12652, 476, 272, 269, 6734, 513, 1396, 516, 0, 7617, 4845, 1655, 6257, 519, 8783, 4162, 540, 10145, 14235, 286, 910, 2005, 568, 2141, 1500, 909, 540, 5216, 24424, 543, 2760, 30053, 269, 910, 2005, 568, 538, 1775, 3711, 545, 20008, 600, 2678, 543, 3085, 1405, 22565, 269, 910, 2005, 666, 581, 538, 1022, 2186, 540, 11281, 855, 1590, 2760, 22565, 269, 910, 2005, 568, 538, 1775, 3711, 545, 20008, 600, 2678, 543, 1590, 2141, 22565, 269, 0, 1103, 2296, 8239, 267, 513, 27612, 1797, 519, 3280, 540, 20262, 602, 649, 5873, 267, 950, 649, 24969, 513, 2262, 563, 289, 820, 910, 649, 24969, 899, 910, 15922, 1341, 737, 269, 972, 568, 835, 20262, 3280, 538, 519, 2262, 269, 1924, 972, 568, 835, 27612, 563, 5278, 1913, 723, 1079, 610, 811, 24008, 538, 5311, 269, 1703, 849, 621, 1223, 581, 835, 27612, 269, 634, 27901, 1412, 344, 262, 568, 2808, 607, 513, 20262, 267, 585, 519, 3483, 540, 24424, 269, 1280, 1383, 2073, 3956, 910, 814, 835, 27612, 269, 17237, 814, 1079, 14598, 1341, 575, 787, 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 ]

[ 568, 3177, 585, 1344, 5301, 1152, 543, 621, 568, 2489, 1344, 711, 1808, 538, 1022, 1259, 547, 1022, 1880, 20090, 267, 20090, 1826, 267, 4640, 267, 5092, 991, 610, 824, 2883, 25896, 269, 1306, 971, 713, 1344, 568, 711, 2883, 5796, 610, 513, 2883, 13319, 267, 6862, 568, 621, 5497, 547, 3310, 606, 20090, 781, 3375, 547, 1902, 269, 898, 568, 711, 547, 581, 1526, 29471, 607, 606, 2709, 547, 4444, 610, 6133, 610, 1151, 545, 2787, 540, 606, 2709, 547, 4444, 610, 6133, 1022, 2883, 7405, 610, 547, 7119, 538, 1022, 1880, 9467, 4640, 538, 1022, 16278, 269, 634, 1570, 568, 1152, 5497, 585, 7606, 945, 11886, 519, 7355, 547, 581, 9286, 607, 968, 32153, 1849, 1801, 892, 607, 3989, 896, 519, 667, 293, 6347, 3652, 543, 1058, 711, 581, 12649, 267, 4607, 267, 3177, 547, 610, 16941, 2390, 676, 1022, 824, 1268, 269, 2136, 6259, 2506, 29521, 630, 308, 6993, 9950, 2567, 634, 1344, 8659, 23954, 568, 14311, 9619, 547, 519, 18579, 269, 634, 5356, 540, 1978, 2472, 538, 713, 3561, 814, 711, 1044, 543, 786, 711, 581, 10805, 609, 519, 6239, 7813, 540, 2136, 6259, 2506, 29521, 610, 1530, 15247, 1299, 2155, 617, 885, 16958, 538, 519, 2136, 6259, 2506, 29521, 269, 7102, 2472, 538, 713, 3561, 602, 616, 1373, 6035, 610, 4421, 798, 711, 13822, 513, 1857, 5356, 610, 3892, 540, 19736, 896, 519, 10858, 4031, 543, 6042, 540, 519, 2136, 6259, 2506, 29521, 269, 901, 3561, 568, 711, 5497, 585, 10009, 610, 3892, 538, 610, 883, 519, 32329, 267, 824, 982, 547, 7606, 538, 519, 32329, 547, 7247, 971, 10009, 610, 3892, 568, 15868, 676, 267, 610, 568, 23614, 689, 519, 4170, 540, 267, 519, 10858, 4031, 543, 6042, 540, 519, 2136, 6259, 2506, 29521, 269, 634, 3892, 540, 519, 1344, 8659, 23954, 676, 519, 18579, 568, 19275, 269, 7316, 10858, 267, 713, 3561, 12211, 547, 19736, 799, 616, 7396, 3544, 540, 519, 26512, 667, 4725, 328, 1530, 15247, 16510, 543, 519, 29903, 11038, 10369, 269, 634, 7813, 540, 14135, 17290, 568, 711, 17101, 547, 1683, 5092, 1382, 3823, 19736, 7396, 593, 519, 15377, 540, 519, 2136, 6259, 2506, 29521, 799, 616, 3544, 540, 519, 667, 9281, 290, 269, 2136, 8003, 281, 769, 519, 2136, 8003, 267, 713, 3561, 568, 1373, 1500, 2139, 1152, 547, 519, 1268, 610, 519, 11769, 547, 7247, 621, 568, 9859, 1373, 7606, 547, 7247, 621, 949, 1876, 2685, 581, 9859, 896, 10858, 4031, 543, 6042, 540, 519, 2136, 8003, 630, 7945, 7606, 616, 1934, 2088, 1123, 5219, 547, 607, 2048, 516, 10589, 7606, 685, 1040, 22353, 267, 713, 3561, 568, 28078, 1152, 547, 4143, 7606, 269, 31080, 945, 616, 711, 4143, 7606, 1590, 711, 957, 593, 610, 7048, 593, 713, 3561, 610, 1022, 540, 922, 9115, 269, 7102, 5092, 610, 5092, 2534, 547, 799, 713, 3561, 12211, 568, 2139, 1152, 547, 4143, 7606, 543, 786, 581, 7722, 538, 1152, 609, 4143, 7606, 269, 31999, 7606, 538, 2256, 18967, 540, 713, 3561, 1590, 711, 15814, 267, 15476, 267, 16196, 267, 610, 30035, 713, 3561, 630, 514, 2898, 610, 538, 851, 264, 547, 1022, 1268, 945, 568, 711, 513, 4143, 1268, 269, 2136, 2276, 540, 3013, 281, 901, 1587, 949, 711, 581, 4421, 610, 6035, 1369, 519, 2136, 2276, 610, 547, 772, 2529, 269, 7606, 563, 1103, 15173, 15158, 267, 7813, 540, 14135, 17290, 568, 513, 7936, 540, 7813, 540, 14135, 17290, 11368, 538, 14135, 609, 3908, 15668, 563, 15100, 476, 1708, 271, 7813, 540, 14135, 17290, 269, 2353, 2924, 11603, 563, 309, 619, 542, 281, 5147, 476, 1708, 271, 0, 2252, 596, 723, 610, 723, 1185, 1414, 1738, 320, 1928, 267, 596, 917, 875, 24858, 543, 11213, 621, 666, 581, 269, 4653, 267, 649, 786, 2911, 827, 1018, 1414, 1738, 320, 568, 543, 1018, 596, 666, 798, 547, 948, 8897, 519, 1928, 563, 1432, 568, 1414, 1738, 320, 888, 306, 857, 1738, 320, 568, 513, 1928, 602, 8255, 1524, 519, 1394, 540, 519, 1850, 267, 2250, 519, 12597, 543, 883, 519, 2539, 1850, 610, 3723, 269, 2368, 1004, 4766, 1928, 538, 519, 12765, 4169, 267, 25637, 267, 1394, 543, 4395, 540, 519, 1850, 269, 1717, 267, 8259, 621, 11498, 547, 519, 2539, 1850, 610, 3723, 267, 621, 568, 29748, 1928, 269, 634, 1414, 1738, 8229, 8371, 1524, 707, 2539, 1394, 267, 14178, 2429, 519, 25637, 267, 12765, 4169, 543, 1524, 1142, 1850, 269, 898, 568, 519, 13074, 8229, 538, 519, 1560, 563, 8005, 4991, 1414, 1738, 320, 888, 306, 857, 1738, 320, 568, 3335, 3361, 676, 513, 1200, 333, 7007, 12210, 610, 28115, 894, 12263, 540, 519, 12636, 269, 898, 666, 849, 2049, 1282, 6379, 267, 607, 972, 568, 2799, 2604, 593, 519, 8229, 689, 519, 3395, 19786, 269, 25175, 666, 1205, 1414, 1738, 320, 267, 855, 621, 2356, 4386, 547, 1346, 1063, 519, 6502, 540, 476, 1789, 268, 2004, 563, 4322, 616, 930, 2596, 7575, 596, 666, 798, 547, 13468, 519, 1928, 267, 855, 596, 1058, 2911, 547, 513, 25280, 1354, 4152, 873, 856, 563, 268, 918, 928, 525, 547, 30446, 853, 4958, 577, 281, 20233, 593, 707, 1394, 543, 3142, 835, 12597, 693, 513, 942, 909, 2509, 707, 9221, 269, 15579, 621, 585, 4557, 7643, 543, 14595, 7953, 563, 268, 1530, 730, 1975, 1400, 853, 4958, 577, 281, 23063, 538, 513, 11381, 6849, 4464, 269, 2755, 5329, 707, 7953, 2786, 538, 4395, 540, 596, 267, 6335, 782, 519, 1259, 547, 519, 1318, 267, 1178, 25290, 519, 1394, 540, 519, 11381, 269, 15579, 585, 4557, 7643, 543, 6467, 5011, 563, 268, 590, 9231, 623, 15607, 517, 281, 23063, 593, 519, 6989, 609, 707, 7953, 856, 538, 4395, 540, 596, 269, 645, 754, 707, 1318, 1850, 267, 11093, 519, 21721, 593, 1283, 540, 519, 2451, 12597, 269, 853, 4958, 577, 707, 5580, 1560, 4464, 267, 19755, 9900, 269, 15579, 585, 19939, 7643, 543, 10956, 593, 519, 824, 2427, 563, 1432, 3502, 547, 1684, 454, 27269, 267, 1414, 1738, 320, 1928, 568, 1317, 1945, 3116, 568, 4929, 519, 2604, 610, 8082, 593, 519, 8229, 269, 901, 568, 1946, 621, 779, 1271, 547, 1265, 513, 13931, 25280, 547, 4217, 596, 609, 4466, 519, 3020, 2014, 3079, 540, 1152, 2519, 593, 519, 8229, 269, 14171, 6927, 883, 707, 1378, 3946, 949, 1439, 909, 4929, 2417, 1928, 610, 5945, 563, 2252, 596, 2461, 2348, 1928, 543, 1589, 621, 949, 581, 1414, 1738, 320, 1928, 267, 1810, 1406, 7227, 269, 28651, 856, 547, 606, 4274, 693, 11759, 8447, 10657, 2221, 269, 1284, 2461, 1934, 547, 948, 256 ]

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

[ 5635, 1114, 771, 26529, 5650, 269, 476, 277, 5174, 288, 7494, 4299, 538, 20117, 10661, 540, 25243, 3595, 628, 1941, 9136, 630, 8368, 476, 272, 1040, 14608, 14688, 811, 9136, 941, 3964, 1210, 5420, 5627, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 1287, 824, 5574, 5627, 476, 277, 5174, 288, 269, 1703, 729, 1100, 1713, 3017, 1063, 519, 1297, 540, 9136, 3964, 593, 1852, 5420, 630, 271, 18725, 332, 264, 543, 5420, 609, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 269, 23554, 30826, 540, 1082, 2890, 3333, 334, 1824, 7018, 593, 5420, 21284, 609, 476, 1556, 18725, 332, 476, 277, 5174, 288, 563, 19859, 3333, 2393, 10661, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 593, 5420, 345, 5627, 476, 277, 1532, 20044, 2643, 3133, 641, 584, 710, 630, 277, 5174, 288, 1916, 763, 5834, 540, 594, 10621, 3648, 6766, 20436, 566, 540, 25753, 2280, 9605, 628, 1941, 2890, 3333, 334, 1824, 630, 8368, 476, 273, 1040, 634, 5207, 1297, 540, 2890, 3333, 334, 1824, 729, 5833, 593, 5420, 5627, 476, 272, 269, 276, 18725, 332, 594, 10621, 269, 634, 9803, 2557, 540, 18735, 729, 593, 5420, 29979, 609, 476, 273, 18725, 332, 594, 10621, 267, 543, 729, 3648, 2539, 982, 519, 2557, 540, 519, 1852, 543, 519, 476, 272, 269, 271, 18725, 332, 2126, 563, 763, 1198, 540, 1585, 2923, 345, 593, 2890, 3333, 334, 1824, 18735, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 563, 19859, 12827, 14005, 540, 623, 269, 9279, 322, 13810, 1223, 711, 581, 12082, 593, 9049, 5420, 609, 610, 1510, 18559, 514, 267, 835, 28451, 9049, 1510, 18559, 514, 267, 543, 835, 21144, 628, 9049, 693, 1447, 982, 476, 10619, 18725, 332, 594, 10621, 630, 11907, 711, 3254, 1040, 2290, 28451, 4222, 9049, 5420, 29979, 609, 1585, 9830, 540, 594, 10621, 6462, 1360, 2370, 3597, 5250, 593, 2890, 3333, 334, 1824, 630, 11907, 711, 3254, 1040, 476, 273, 267, 275, 5937, 3648, 8476, 3597, 532, 540, 623, 269, 9279, 322, 13810, 2890, 3333, 334, 1824, 269, 3143, 5072, 4646, 593, 519, 1852, 630, 271, 264, 610, 476, 273, 269, 274, 18725, 332, 476, 273, 267, 275, 5937, 269, 634, 1840, 540, 476, 275, 269, 277, 543, 476, 277, 269, 280, 18725, 332, 540, 476, 273, 267, 275, 5937, 547, 519, 5420, 3648, 2799, 519, 6871, 540, 2890, 3333, 334, 1824, 602, 12082, 269, 634, 5207, 3597, 532, 6871, 267, 476, 6872, 9077, 729, 5833, 593, 519, 5420, 609, 476, 277, 269, 280, 18725, 332, 267, 799, 729, 3648, 2362, 982, 689, 782, 824, 5574, 269, 1717, 267, 476, 280, 18725, 332, 476, 273, 267, 275, 5937, 3648, 8519, 519, 3597, 532, 6871, 269, 634, 1297, 540, 519, 5072, 829, 2890, 12827, 1154, 1185, 519, 2147, 7678, 607, 519, 3597, 532, 6871, 630, 8368, 476, 274, 1916, 763, 1198, 540, 476, 273, 267, 275, 5937, 593, 2890, 3333, 2393, 3597, 5250, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 1310, 476, 274, 3275, 563, 19859, 3333, 334, 1824, 540, 623, 269, 9279, 322, 13810, 12082, 538, 835, 21144, 628, 9049, 5420, 29979, 609, 1164, 9830, 540, 594, 10621, 630, 8368, 476, 275, 1040, 681, 17415, 6871, 540, 2890, 3333, 334, 1824, 3648, 2799, 609, 2810, 9830, 540, 594, 10621, 5834, 267, 855, 3648, 8519, 693, 519, 5834, 540, 476, 7176, 18725, 332, 594, 10621, 269, 634, 1655, 5420, 585, 3597, 532, 540, 623, 269, 9279, 322, 13810, 2890, 12827, 14005, 729, 835, 21144, 628, 9049, 5627, 476, 11152, 18725, 332, 594, 10621, 269, 23839, 29979, 609, 476, 10019, 267, 476, 8660, 267, 610, 476, 11152, 18725, 332, 594, 10621, 14001, 3597, 5250, 543, 1185, 519, 2147, 1198, 593, 519, 1297, 540, 5072, 829, 2890, 12827, 1154, 267, 799, 729, 3648, 2362, 982, 519, 5834, 540, 594, 10621, 2539, 982, 2901, 476, 10619, 610, 476, 7176, 18725, 332, 594, 10621, 630, 8368, 476, 275, 1040, 1717, 267, 789, 1185, 1114, 1198, 593, 519, 3597, 532, 6871, 540, 623, 269, 9279, 322, 13810, 269, 23839, 29979, 609, 476, 271, 547, 476, 13040, 18725, 332, 715, 8150, 729, 849, 7318, 267, 855, 1705, 711, 16578, 3597, 532, 630, 11907, 711, 3254, 1916, 763, 1198, 540, 967, 1961, 268, 274, 1532, 14280, 878, 3679, 630, 296, 10621, 264, 593, 4417, 25875, 3597, 5250, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 1310, 476, 277, 4374, 563, 10907, 743, 574, 26494, 543, 13003, 532, 563, 301, 27197, 19317, 2600, 540, 519, 2030, 7410, 15068, 24328, 543, 1035, 743, 11582, 547, 8511, 2825, 2175, 630, 8993, 269, 476, 272, 1916, 6624, 29762, 25798, 2371, 616, 1360, 973, 531, 31842, 7949, 547, 3543, 894, 18640, 676, 6671, 5969, 2409, 269, 4475, 267, 538, 20117, 18640, 1505, 814, 1044, 2919, 267, 855, 1142, 2249, 949, 2154, 513, 1360, 1114, 7014, 609, 1114, 2591, 269, 634, 2009, 4128, 585, 7411, 585, 538, 20117, 18640, 1331, 1164, 12526, 2557, 693, 519, 3355, 3942, 267, 519, 12214, 4567, 540, 519, 1011, 1218, 267, 543, 5924, 741, 3500, 3395, 4162, 630, 290, 1156, 267, 476, 1960, 276, 282, 18000, 543, 667, 807, 267, 476, 1960, 272, 1040, 14863, 18959, 3599, 540, 519, 1011, 656, 568, 835, 540, 519, 1034, 1271, 7687, 585, 9070, 908, 29762, 2249, 267, 799, 2356, 7753, 676, 1210, 22270, 514, 514, 547, 2736, 18959, 3599, 269, 1717, 267, 519, 16789, 5834, 540, 22270, 514, 514, 1419, 3123, 3857, 30826, 540, 519, 1011, 656, 630, 295, 534, 1478, 543, 3223, 987, 2917, 267, 476, 2735, 279, 1040, 769, 713, 1382, 585, 623, 269, 9279, 322, 13810, 267, 649, 1031, 476, 277, 269, 277, 18725, 332, 476, 277, 5174, 288, 547, 20006, 9496, 2208, 543, 18735, 267, 543, 713, 5834, 814, 1044, 4080, 607, 5078, 585, 519, 2890, 3333, 2393, 10661, 540, 1082, 2249, 267, 1519, 590, 9200, 1014, 1714, 332, 630, 308, 331, 16443, 533, 636, 10042, 264, 630, 10267, 978, 543, 26757, 267, 476, 1960, 276, 1040, 1744, 2393, 18735, 540, 623, 269, 9279, 322, 13810, 729, 4299, 676, 519, 5834, 540, 18559, 514, 543, 519, 8770, 6070, 1543, 540, 2923, 269, 1284, 1336, 602, 6175, 540, 519, 5672, 1258, 22021, 1543, 538, 519, 2528, 5420, 2799, 519, 9496, 18735, 2557, 269, 769, 713, 3942, 267, 519, 22534, 7139, 11717, 730, 1510, 4946, 1022, 608, 18100, 22270, 514, 514, 267, 543, 729, 4440, 1813, 547, 519, 1164, 1439, 18100, 22270, 514, 1231, 538, 2890, 3333, 334, 1824, 610, 519, 12802, 540, 608, 18100, 476, 277, 5174, 288, 538, 519, 5420, 1031, 538, 519, 10661, 3942, 630, 11390, 951, 1696, 620, 1421, 476, 2735, 275, 1040, 4329, 1382, 568, 2877, 593, 519, 9496, 18735, 3942, 540, 623, 269, 9279, 322, 13810, 563, 305, 2393, 5250, 540, 623, 269, 9279, 322, 13810, 729, 3648, 4299, 676, 519, 18559, 514, 2010, 543, 5834, 267, 543, 519, 5672, 1258, 19153, 8659, 538, 519, 2923, 269, 634, 2164, 538, 713, 1353, 8612, 602, 519, 2539, 1543, 540, 5672, 1258, 19153, 538, 519, 2528, 5420, 4824, 9496, 18735, 269, 2290, 1713, 3017, 538, 713, 1353, 689, 1082, 824, 25132, 1886, 698, 566, 2090, 729, 519, 946, 540, 476, 273, 267, 275, 5937, 607, 519, 18559, 514, 585, 3597, 532, 267, 799, 729, 10355, 4080, 538, 25132, 1886, 698, 566, 630, 1320, 752, 584, 543, 20855, 8705, 267, 476, 1220, 279, 1040, 6271, 11495, 3017, 568, 519, 946, 540, 5393, 1164, 5834, 540, 594, 10621, 267, 799, 3648, 2799, 519, 3597, 532, 6871, 689, 476, 271, 260, 547, 476, 6507, 260, 538, 476, 272, 269, 276, 3275, 269, 4014, 519, 5393, 1164, 5834, 540, 594, 10621, 4080, 1934, 585, 3597, 15632, 568, 711, 4122, 1031, 267, 621, 1185, 1044, 4080, 585, 3597, 532, 22612, 538, 2699, 321, 644, 630, 290, 2075, 529, 666, 611, 18424, 264, 630, 291, 2967, 1696, 620, 1421, 476, 1220, 276, 1040, 634, 1164, 18559, 514, 5834, 2877, 585, 1802, 1424, 5072, 267, 568, 4440, 1317, 519, 25243, 3595, 628, 1941, 568, 513, 29762, 2030, 267, 799, 616, 7363, 2352, 547, 3597, 630, 291, 597, 337, 543, 1261, 12528, 267, 476, 1220, 280, 1040, 901, 949, 849, 2491, 1946, 476, 273, 267, 275, 5937, 1223, 16578, 5072, 607, 621, 568, 513, 2178, 10991, 18559, 514, 269, 4495, 12082, 267, 519, 2030, 7410, 666, 581, 11843, 543, 1035, 743, 13846, 547, 19355, 1604, 269, 901, 25132, 1886, 698, 566, 7014, 2636, 547, 5732, 7372, 2504, 540, 16918, 10351, 680, 11047, 610, 9241, 5950, 28212, 540, 623, 269, 9279, 322, 13810, 563, 288, 22894, 267, 570, 1421, 1323, 559, 534, 267, 645, 1421, 717, 3073, 21343, 267, 589, 269, 1299, 13019, 541, 267, 590, 11053, 269, 476, 1220, 280, 10495, 540, 524, 566, 545, 20004, 19777, 26975, 4162, 540, 15860, 543, 1875, 8410, 14846, 13947, 281, 12877, 2350, 13183, 320, 9279, 322, 13810, 15708, 808, 269, 32126, 269, 631, 831, 269, 476, 12739, 476, 9873, 273, 476, 9873, 280, 454, 288, 11899, 1075, 267, 715, 1421, 744, 5414, 13424, 267, 594, 15660, 1421, 962, 553, 541, 267, 772, 1421, 2274, 1076, 321, 545, 328, 267, 2098, 269, 1299, 962, 541, 857, 267, 595, 269, 476, 1001, 271, 2422, 540, 12877, 2350, 13183, 320, 9279, 322, 13810, 10162, 655, 607, 513, 2009, 8790, 517, 3218, 585, 519, 5697, 5230, 8407, 2271, 331, 269, 808, 269, 30287, 269, 2233, 269, 3353, 565, 269, 476, 278, 476, 274, 476, 275, 2767, 476, 275, 4097, 454, 290, 1156, 267, 2098, 269, 476, 1960, 276, 769, 20117, 2528, 540, 24972, 12734, 2371, 269, 4457, 11982, 4964, 267, 19864, 267, 3624, 454, 291, 2967, 267, 654, 1421, 10496, 13196, 267, 966, 1421, 670, 9007, 267, 667, 269, 1299, 4258, 978, 267, 2098, 11607, 300, 269, 476, 1220, 276, 12130, 1886, 1886, 698, 566, 540, 513, 4411, 25836, 5542, 540, 595, 2075, 4593, 534, 611, 18424, 700, 269, 998, 2582, 5991, 1712, 2528, 808, 269, 30287, 269, 29088, 269, 476, 2537, 476, 7918, 476, 6812, 454, 291, 597, 337, 267, 631, 6993, 269, 1299, 1261, 12528, 267, 808, 5861, 15030, 269, 476, 1220, 280, 13129, 15015, 540, 8381, 344, 7233, 31666, 566, 454, 293, 4815, 267, 717, 10611, 1421, 645, 23158, 267, 589, 1421, 2859, 25651, 267, 594, 269, 1299, 8751, 11726, 267, 674, 269, 476, 1220, 271, 4469, 822, 517, 1355, 3892, 538, 12877, 2350, 13183, 320, 9279, 322, 13810, 2371, 693, 1114, 2208, 11775, 4437, 32554, 269, 5204, 560, 269, 661, 3712, 269, 476, 2764, 476, 6858, 274, 476, 277, 4281, 454, 298, 525, 518, 267, 590, 269, 476, 1001, 275, 14640, 2784, 673, 2238, 543, 20239, 12950, 7135, 540, 3595, 628, 1941, 630, 13695, 2350, 13183, 320, 9279, 322, 13810, 264, 4829, 21555, 14844, 269, 1160, 323, 269, 1763, 269, 476, 2764, 476, 736, 476, 9965, 280, 476, 9692, 275, 454, 11390, 951, 267, 595, 1421, 21676, 332, 753, 267, 631, 1421, 21676, 332, 753, 8566, 650, 11726, 338, 267, 631, 12171, 269, 1299, 16629, 1706, 267, 570, 269, 476, 2735, 275, 4284, 8344, 543, 23020, 2621, 3056, 547, 3857, 30826, 540, 2371, 31796, 538, 20117, 4284, 2723, 269, 7233, 269, 476, 8618, 476, 272, 476, 7597, 476, 10619, 454, 30469, 1889, 345, 267, 2098, 1421, 7843, 601, 267, 674, 1421, 717, 758, 339, 24642, 267, 589, 269, 1299, 962, 320, 27256, 690, 1663, 267, 2098, 269, 476, 1220, 278, 6356, 540, 4411, 32756, 5574, 593, 23286, 540, 10980, 27031, 19211, 5452, 808, 269, 30287, 269, 22776, 269, 476, 2764, 476, 273, 476, 4510, 278, 1700, 28526, 454, 22025, 614, 267, 667, 1421, 661, 686, 802, 5459, 267, 570, 1421, 27213, 267, 681, 5861, 1421, 7937, 267, 590, 1421, 3911, 539, 5658, 267, 808, 9950, 9950, 269, 1299, 21546, 267, 667, 10611, 269, 476, 1220, 278, 623, 17222, 4094, 344, 543, 8760, 540, 887, 338, 19687, 7233, 5204, 560, 269, 5345, 565, 269, 476, 29214, 476, 272, 476, 276, 476, 6246, 454, 5226, 267, 700, 1421, 2717, 1662, 1442, 267, 808, 269, 1299, 966, 832, 320, 267, 715, 269, 476, 1220, 271, 589, 3810, 3608, 538, 20117, 22623, 9440, 20344, 1062, 1210, 6978, 1011, 1218, 29088, 16631, 476, 3374, 476, 280, 4366, 476, 4817, 273, 454, 5226, 328, 5766, 320, 267, 744, 9950, 1421, 25376, 267, 590, 8160, 1421, 7203, 1782, 334, 267, 595, 15660, 269, 1299, 715, 15614, 1723, 267, 590, 8160, 269, 476, 1220, 274, 5530, 540, 519, 5888, 540, 12877, 2350, 13183, 320, 524, 1066, 592, 1092, 887, 655, 6079, 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 ]

[ 540, 3845, 689, 519, 3230, 344, 2330, 268, 9471, 267, 8754, 10747, 519, 4090, 827, 519, 3230, 344, 2330, 268, 9471, 563, 2171, 1631, 5581, 519, 4099, 540, 2527, 540, 15768, 2798, 538, 519, 7077, 780, 2971, 7151, 1428, 269, 275, 269, 1691, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 15768, 1544, 541, 1062, 780, 4131, 1448, 13999, 540, 476, 272, 4846, 267, 476, 273, 4846, 543, 476, 276, 4846, 581, 4092, 693, 2798, 30967, 273, 267, 271, 9385, 3667, 346, 267, 6525, 30967, 272, 267, 272, 14638, 543, 30967, 274, 267, 272, 9385, 3667, 346, 267, 6525, 6606, 267, 543, 616, 4448, 676, 6094, 22203, 540, 30050, 2597, 269, 4855, 519, 4099, 540, 2527, 540, 519, 1062, 563, 11405, 563, 2171, 1246, 14497, 1109, 1428, 269, 275, 269, 1724, 543, 9502, 1109, 1428, 269, 275, 269, 1321, 547, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 2330, 300, 815, 476, 272, 266, 273, 266, 276, 815, 476, 279, 315, 12101, 3667, 346, 11899, 4153, 3667, 346, 269, 28021, 17961, 9387, 15857, 631, 13448, 1422, 2086, 815, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 544, 10983, 344, 10983, 11138, 1422, 2086, 815, 476, 272, 263, 271, 264, 1341, 476, 273, 263, 272, 264, 1341, 476, 276, 263, 272, 9385, 315, 1422, 2086, 815, 476, 278, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 17961, 9387, 15857, 631, 14729, 1422, 2086, 815, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 544, 318, 1460, 10983, 11138, 1422, 2086, 815, 476, 272, 263, 273, 264, 1341, 476, 273, 263, 272, 264, 1341, 476, 276, 263, 274, 9385, 315, 1422, 2086, 815, 476, 866, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 6695, 1091, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 2410, 300, 9574, 315, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 1422, 3847, 7268, 2765, 13997, 866, 3686, 279, 12101, 2765, 4281, 9368, 264, 815, 263, 273, 269, 23841, 267, 271, 269, 279, 4037, 9385, 3667, 346, 267, 6525, 11609, 538, 7612, 1109, 1428, 269, 275, 269, 1428, 563, 2171, 6368, 12446, 693, 938, 3020, 3804, 540, 713, 3296, 281, 4466, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 609, 4756, 5860, 269, 2755, 519, 1657, 6482, 540, 4099, 540, 2527, 568, 4277, 267, 621, 1281, 711, 2047, 2626, 811, 10853, 3871, 1141, 649, 991, 547, 1265, 519, 4099, 540, 2527, 540, 513, 733, 27631, 3148, 269, 1717, 267, 1620, 519, 15768, 2013, 2636, 721, 547, 16977, 519, 4099, 540, 2527, 540, 513, 1544, 541, 22917, 2088, 282, 1210, 11810, 267, 649, 666, 13217, 519, 19406, 547, 606, 3169, 1871, 563, 2171, 2253, 676, 8204, 513, 1544, 541, 22917, 2088, 609, 513, 3148, 3230, 305, 2330, 538, 519, 3230, 15383, 2330, 268, 30350, 609, 5860, 1599, 6695, 23169, 3287, 11971, 9385, 3667, 346, 269, 6525, 3487, 819, 3230, 305, 2330, 883, 3230, 333, 2330, 30834, 2888, 267, 1142, 609, 1858, 6695, 18773, 589, 10983, 20728, 346, 269, 6525, 1306, 2944, 1354, 267, 649, 666, 16977, 519, 2527, 540, 519, 3230, 328, 2330, 628, 1016, 2958, 542, 609, 6695, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 20728, 346, 267, 6525, 1141, 30967, 343, 10983, 11971, 10983, 14638, 568, 513, 1448, 3330, 519, 3230, 328, 2330, 628, 1016, 2958, 542, 269, 1284, 666, 16977, 519, 4090, 540, 713, 1016, 2958, 542, 827, 519, 3230, 344, 2330, 268, 9471, 609, 3230, 343, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 2330, 2443, 602, 568, 267, 676, 14921, 519, 16977, 2527, 540, 519, 3148, 676, 922, 16977, 3845, 689, 519, 3230, 344, 2330, 268, 9471, 269, 6684, 267, 649, 666, 16977, 519, 4090, 827, 519, 3230, 343, 2330, 268, 9471, 609, 3230, 344, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 20728, 346, 269, 6525, 1635, 2040, 2719, 936, 782, 1016, 2958, 687, 267, 649, 723, 912, 17961, 9387, 15857, 1422, 3667, 346, 2527, 281, 7684, 631, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 1422, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 1422, 3667, 346, 630, 553, 2938, 1354, 264, 476, 27874, 1422, 3667, 346, 4090, 827, 519, 3230, 343, 2330, 268, 9471, 281, 7684, 631, 13448, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 586, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 11138, 1422, 3667, 346, 4090, 827, 519, 3230, 344, 2330, 268, 9471, 281, 7684, 631, 14729, 1422, 2086, 1422, 13627, 1422, 8999, 3709, 328, 284, 272, 11892, 333, 1535, 10983, 315, 23169, 3287, 10983, 11971, 10983, 9385, 18773, 589, 10983, 1422, 754, 9387, 265, 8679, 3528, 2921, 7182, 267, 1141, 2450, 540, 1142, 1016, 2958, 542, 695, 337, 3855, 547, 476, 271, 538, 1312, 519, 3230, 343, 2330, 543, 3230, 344, 2330, 8846, 267, 649, 12446, 693, 519, 5595, 29398, 2016, 538, 519, 1739, 11532, 563, 2171, 1376, 938, 2259, 540, 4466, 7740, 540, 2527, 676, 20460, 1746, 930, 540, 519, 22917, 2088, 1031, 5892, 538, 713, 3296, 950, 4466, 2527, 269, 1284, 786, 1175, 1305, 909, 519, 29398, 2877, 547, 12337, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 2330, 543, 4734, 519, 3877, 540, 519, 5610, 547, 519, 5467, 780, 2971, 7151, 1428, 269, 275, 269, 1704, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 2527, 540, 513, 4009, 22917, 2088, 267, 609, 2427, 3259, 476, 272, 267, 609, 513, 5860, 540, 6695, 23169, 815, 476, 274, 315, 12101, 3667, 346, 326, 30763, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 519, 22917, 2088, 689, 7151, 1109, 1428, 269, 275, 269, 274, 8094, 11405, 563, 2171, 2099, 519, 22917, 2088, 609, 513, 4009, 3148, 538, 519, 7077, 607, 3254, 538, 7612, 1109, 1428, 269, 275, 269, 1240, 607, 2944, 5892, 563, 16729, 14497, 1109, 1428, 269, 275, 269, 1626, 267, 649, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 20867, 15848, 20867, 10085, 815, 274, 315, 12101, 3667, 346, 326, 27874, 631, 13448, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 344, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 344, 20867, 15848, 20867, 10085, 815, 274, 270, 273, 815, 476, 272, 269, 276, 11138, 631, 14729, 1422, 2086, 815, 1422, 328, 842, 318, 305, 476, 274, 343, 20867, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 476, 274, 343, 20867, 15848, 20867, 10085, 815, 274, 270, 273, 815, 476, 272, 269, 276, 20728, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 6695, 1091, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 348, 300, 12101, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 630, 272, 269, 276, 270, 274, 267, 272, 269, 276, 270, 274, 264, 815, 630, 271, 269, 276, 267, 271, 269, 276, 9385, 3667, 346, 269, 6525, 901, 568, 1018, 649, 1058, 723, 4397, 281, 519, 4099, 540, 2527, 540, 513, 4009, 609, 3586, 5860, 568, 519, 4099, 540, 519, 4009, 780, 2971, 7151, 1428, 269, 275, 269, 866, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 540, 2527, 540, 513, 4009, 22917, 2088, 267, 6719, 676, 519, 1770, 4009, 609, 2539, 682, 325, 628, 663, 7944, 693, 519, 5169, 630, 5408, 7612, 1109, 1428, 269, 275, 269, 1240, 1070, 609, 4756, 5860, 6695, 23169, 3287, 11971, 264, 815, 630, 343, 20742, 266, 273, 9385, 12101, 3667, 346, 326, 30763, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 519, 22917, 2088, 689, 7151, 1109, 1428, 269, 275, 269, 276, 8094, 11405, 563, 2171, 1246, 14497, 1109, 1428, 269, 275, 269, 1626, 267, 547, 1265, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 328, 842, 318, 305, 630, 343, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 630, 343, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 815, 274, 315, 12101, 3667, 346, 326, 27874, 631, 13448, 1422, 2086, 815, 1422, 328, 842, 318, 305, 586, 3287, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 586, 3287, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 31386, 2765, 346, 866, 2410, 1321, 27874, 631, 14729, 1422, 2086, 815, 1422, 328, 842, 318, 305, 1535, 3287, 20742, 266, 273, 9385, 267, 546, 288, 815, 1422, 842, 318, 271, 317, 272, 315, 842, 318, 271, 317, 272, 1535, 3287, 20742, 266, 273, 9385, 267, 15848, 20867, 10085, 31386, 2765, 346, 866, 2410, 1321, 4153, 3667, 346, 269, 348, 1422, 754, 9387, 265, 8679, 13295, 519, 4099, 540, 2527, 568, 454, 17961, 346, 3225, 566, 15857, 22570, 28235, 12757, 9574, 315, 28235, 26635, 16585, 815, 1422, 3847, 7268, 2765, 346, 300, 14729, 348, 300, 12101, 2765, 346, 300, 13448, 348, 300, 9368, 264, 815, 1422, 3847, 7268, 2765, 346, 866, 2410, 3607, 9574, 315, 2765, 346, 866, 2410, 3607, 4153, 2431, 264, 1422, 13627, 630, 271, 269, 276, 2764, 267, 271, 269, 276, 2764, 9385, 3667, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 8679, 4407, 519, 2527, 540, 713, 22917, 2088, 568, 519, 1482, 607, 519, 22917, 2088, 538, 519, 3105, 1383, 267, 519, 3152, 5860, 1336, 609, 3152, 3230, 343, 2330, 543, 3230, 344, 2330, 2418, 27605, 519, 4099, 540, 2527, 689, 519, 4099, 5594, 2509, 519, 5580, 678, 12915, 663, 7944, 780, 2971, 7151, 1428, 269, 275, 269, 736, 12171, 4193, 519, 4099, 540, 2527, 540, 513, 22917, 2088, 780, 8340, 519, 4099, 540, 2527, 540, 519, 22917, 2088, 6719, 676, 519, 5858, 609, 8953, 476, 273, 10264, 267, 10704, 693, 519, 5169, 267, 609, 5860, 1599, 6695, 23169, 3287, 11971, 264, 815, 630, 343, 317, 273, 20742, 317, 273, 266, 272, 9385, 12101, 3667, 346, 331, 321, 270, 1111, 11892, 273, 20728, 346, 269, 6525, 630, 9616, 281, 713, 568, 835, 540, 519, 22917, 2088, 1031, 538, 7151, 1109, 1428, 269, 275, 269, 278, 8094, 11405, 563, 2026, 2944, 538, 7151, 1109, 1428, 269, 275, 269, 278, 267, 621, 568, 1655, 547, 4766, 3230, 305, 2330, 1210, 8701, 10974, 269, 4935, 950, 649, 12337, 3230, 300, 14729, 20728, 346, 267, 6525, 649, 786, 11753, 711, 3230, 343, 315, 23169, 3287, 11971, 264, 815, 1535, 3287, 317, 273, 20742, 317, 273, 266, 272, 9385, 3667, 346, 267, 6525, 855, 2864, 6695, 15927, 16868, 315, 6523, 7268, 9064, 264, 1422, 15927, 9385, 23169, 16868, 315, 6523, 7268, 9064, 264, 2073, 337, 315, 7562, 7268, 9064, 264, 3738, 815, 1422, 15927, 16868, 315, 6523, 7268, 9064, 264, 1422, 15927, 9385, 15927, 16868, 317, 273, 266, 272, 315, 15927, 9385, 3667, 346, 269, 6525, 1284, 12337, 3230, 300, 20728, 346, 267, 6525, 3230, 300, 13448, 2330, 543, 3230, 300, 14729, 20728, 346, 281, 28021, 17961, 9387, 15857, 631, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 317, 273, 266, 272, 264, 337, 20867, 1743, 20867, 546, 24592, 815, 476, 1321, 19570, 315, 13627, 476, 4391, 269, 278, 315, 12101, 3667, 346, 331, 321, 27874, 631, 13448, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 315, 7562, 7268, 9064, 264, 3738, 263, 337, 317, 273, 266, 272, 264, 337, 22773, 1743, 20867, 546, 24592, 815, 476, 271, 11138, 631, 14729, 1422, 2086, 815, 1422, 842, 318, 271, 3867, 273, 19570, 4153, 842, 318, 271, 317, 273, 630, 337, 315, 6523, 7268, 9064, 264, 3738, 263, 337, 317, 273, 266, 272, 264, 337, 22773, 1743, 20867, 546, 24592, 815, 476, 271, 20728, 346, 269, 348 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4332, 543, 2669, 267, 30608, 10305, 540, 513, 1895, 610, 2486, 602, 616, 15110, 689, 2250, 5481, 267, 9738, 538, 20909, 1714, 6665, 535, 4800, 267, 519, 1459, 543, 1655, 15735, 585, 519, 4324, 540, 12335, 543, 2669, 267, 2104, 5481, 269, 8836, 6561, 2882, 15889, 2528, 630, 7945, 607, 5656, 267, 20375, 267, 8916, 269, 8044, 602, 519, 2686, 543, 1895, 3961, 814, 1044, 14894, 539, 676, 14051, 269, 4210, 582, 5811, 476, 1001, 276, 286, 1358, 8044, 602, 14051, 3123, 2686, 22030, 267, 799, 1797, 519, 791, 3789, 540, 835, 2528, 593, 4266, 540, 4332, 543, 2669, 267, 824, 4529, 676, 13868, 610, 21006, 519, 3312, 2418, 540, 602, 2528, 267, 799, 5012, 547, 2686, 12900, 543, 2530, 269, 540, 10721, 2528, 267, 13742, 2073, 17611, 748, 539, 2418, 267, 543, 2596, 5817, 10054, 892, 630, 306, 3832, 514, 267, 476, 1220, 273, 267, 623, 269, 476, 8287, 1916, 6097, 547, 519, 1614, 2157, 540, 2528, 267, 713, 3091, 513, 1713, 9295, 547, 10747, 1018, 519, 2965, 10721, 2528, 568, 269, 17616, 267, 13742, 616, 519, 2627, 3344, 540, 10721, 269, 3838, 2418, 267, 4978, 543, 8155, 540, 2220, 582, 2079, 476, 1001, 276, 267, 513, 1808, 1895, 540, 13275, 12335, 543, 2669, 267, 1004, 269, 9177, 568, 10299, 998, 1893, 267, 2923, 6835, 267, 2686, 2853, 543, 5238, 267, 2418, 543, 13742, 2073, 543, 998, 519, 9781, 540, 2623, 630, 15812, 639, 14173, 599, 4821, 267, 476, 1960, 275, 1040, 2755, 7209, 568, 1419, 3989, 607, 519, 4999, 540, 563, 21132, 26337, 267, 3807, 3502, 15020, 6153, 26337, 269, 2094, 15456, 4609, 616, 711, 2141, 865, 2312, 2759, 607, 789, 616, 538, 519, 9413, 910, 320, 4609, 4162, 616, 8200, 909, 519, 10923, 607, 1134, 607, 2686, 2796, 538, 20909, 535, 4800, 267, 799, 621, 4646, 268, 1034, 9125, 6048, 1265, 621, 2556, 547, 12335, 540, 4332, 543, 2669, 267, 2308, 513, 3099, 540, 5619, 532, 543, 10386, 2553, 1175, 547, 12398, 543, 5581, 269, 2796, 267, 543, 547, 589, 19396, 4828, 267, 2491, 922, 4644, 607, 513, 7013, 31074, 1547, 7994, 606, 1843, 602, 22587, 547, 596, 543, 4766, 621, 538, 6190, 1469, 865, 602, 621, 1223, 581, 6444, 676, 513, 1268, 945, 814, 2760, 2938, 621, 269, 476, 272, 269, 11261, 2986, 17510, 1656, 12280, 286, 2422, 661, 269, 5062, 5141, 2426, 18307, 2719, 779, 3268, 540, 31074, 1353, 547, 2328, 827, 707, 1843, 269, 18307, 2719, 4330, 281, 1547, 26337, 543, 5980, 281, 7351, 12983, 25387, 538, 562, 15625, 8260, 11253, 781, 6689, 267, 938, 1158, 972, 616, 3875, 13742, 602, 616, 2808, 547, 13275, 4266, 543, 2669, 267, 581, 10723, 1369, 741, 3148, 540, 5169, 269, 623, 10134, 4815, 5811, 286, 10572, 2477, 543, 12335, 4266, 543, 2669, 267, 4525, 946, 922, 2250, 547, 2901, 3895, 9235, 267, 547, 5352, 8907, 998, 3656, 543, 10363, 6455, 540, 1884, 1172, 885, 267, 543, 589, 19396, 17889, 267, 824, 269, 607, 519, 13275, 4266, 540, 4332, 543, 2669, 267, 3090, 540, 6575, 267, 2707, 543, 5169, 540, 930, 4529, 543, 4858, 2738, 4828, 267, 849, 10764, 563, 4322, 2622, 8836, 1200, 527, 1137, 1331, 15889, 2528, 630, 7945, 607, 5656, 267, 20375, 267, 8916, 267, 2835, 267, 1568, 540, 1148, 267, 543, 4266, 267, 13742, 16532, 30608, 2528, 630, 7945, 607, 18691, 267, 5389, 267, 1893, 267, 543, 1714, 6665, 535, 4800, 267, 1702, 1070, 543, 2067, 269, 476, 24801, 268, 7305, 540, 540, 4332, 267, 12937, 476, 272, 269, 4858, 2738, 4828, 286, 4985, 476, 274, 476, 273, 269, 8836, 21094, 476, 274, 476, 274, 269, 7316, 2052, 8836, 21094, 2142, 5853, 476, 274, 476, 275, 269, 8249, 22490, 538, 8836, 21094, 476, 275, 476, 276, 269, 24371, 267, 4675, 11502, 543, 16890, 538, 13275, 12335, 4266, 540, 4332, 543, 2669, 267, 8836, 21094, 476, 275, 476, 277, 269, 27010, 10748, 1466, 476, 276, 476, 278, 269, 1215, 621, 568, 10694, 476, 276, 476, 279, 269, 12694, 269, 5686, 540, 7239, 789, 5030, 538, 1848, 1107, 5319, 11602, 540, 24205, 269, 589, 19396, 17889, 4828, 286, 968, 290, 11857, 568, 513, 1134, 6896, 9322, 5258, 883, 12335, 540, 4332, 543, 2669, 267, 1079, 4909, 3344, 1107, 513, 1560, 540, 4858, 2738, 4828, 267, 13742, 543, 513, 1062, 540, 9821, 1107, 5689, 514, 22603, 269, 968, 24109, 753, 3112, 3548, 267, 13236, 267, 1219, 1815, 622, 267, 19898, 267, 16196, 267, 1694, 267, 1847, 827, 267, 3207, 610, 9114, 1524, 1510, 1739, 269, 9931, 7232, 2433, 689, 7025, 29675, 547, 13329, 14939, 715, 739, 28101, 269, 1323, 11582, 801, 3930, 267, 519, 15888, 540, 519, 4670, 267, 13321, 519, 4670, 543, 12335, 540, 4332, 543, 2669, 267, 922, 16502, 267, 654, 17920, 7232, 883, 1018, 6754, 28243, 7125, 606, 968, 13563, 2442, 2686, 31074, 1496, 338, 545, 316, 892, 602, 814, 968, 13069, 727, 519, 1445, 540, 513, 1713, 13849, 10687, 29232, 593, 1977, 7082, 2418, 543, 1514, 3961, 892, 630, 13923, 1040, 1635, 1814, 1172, 532, 7082, 1143, 269, 10058, 543, 30753, 2686, 4162, 568, 21718, 269, 589, 19396, 286, 476, 274, 269, 630, 307, 4596, 338, 476, 272, 476, 273, 264, 24272, 553, 2103, 609, 8129, 824, 982, 8832, 610, 5375, 3864, 945, 1869, 3180, 543, 540, 4332, 267, 1871, 741, 6803, 3961, 855, 798, 865, 1510, 1514, 1942, 616, 21718, 563, 275, 269, 630, 307, 4596, 338, 476, 274, 476, 275, 264, 634, 15889, 13742, 2813, 676, 513, 2528, 616, 21718, 269, 1454, 2362, 4110, 267, 782, 7064, 547, 19795, 269, 1703, 616, 2947, 1016, 1922, 3658, 540, 875, 547, 11360, 513, 4871, 267, 28668, 281, 2608, 6635, 3832, 1108, 268, 901, 2361, 2090, 938, 2250, 269, 1358, 4983, 13742, 602, 616, 3504, 543, 2413, 547, 29742, 513, 1007, 5133, 540, 938, 7104, 1686, 269, 1488, 3832, 5505, 4983, 12779, 334, 1815, 1108, 269, 17905, 568, 519, 1353, 540, 13275, 267, 519, 269, 589, 9754, 568, 606, 9872, 602, 30128, 585, 630, 4621, 12883, 264, 513, 4015, 540, 13742, 543, 824, 3615, 540, 17889, 4828, 267, 7499, 267, 2686, 2073, 3140, 267, 610, 3621, 2956, 543, 2306, 873, 2139, 585, 1857, 13156, 998, 15225, 602, 949, 581, 8628, 610, 10151, 269, 7197, 1804, 15882, 616, 4092, 538, 2101, 4872, 563, 732, 9280, 609, 1950, 6389, 540, 13275, 4266, 540, 4332, 543, 2669, 267, 1480, 1702, 267, 713, 568, 2101, 6161, 547, 875, 547, 267, 5042, 16895, 543, 2247, 15806, 269, 5261, 9956, 2986, 17510, 1656, 12280, 286, 5678, 1373, 513, 2686, 13742, 2073, 23316, 3587, 513, 1888, 540, 1719, 547, 1914, 6048, 543, 267, 24085, 269, 22108, 22823, 267, 589, 269, 20307, 13495, 11253, 781, 286, 630, 1001, 273, 1040, 23008, 2524, 269, 568, 519, 1152, 3540, 1242, 7068, 538, 12335, 4266, 540, 4332, 543, 2669, 267, 713, 1158, 269, 623, 10134, 4815, 4210, 582, 286, 9177, 666, 581, 3989, 607, 519, 7471, 1062, 602, 12211, 547, 2418, 267, 4978, 267, 5615, 267, 8155, 267, 13742, 543, 519, 824, 1568, 540, 1022, 2486, 269, 5261, 11261, 286, 769, 519, 1480, 1686, 267, 713, 568, 519, 2528, 602, 17337, 1480, 7919, 610, 24508, 835, 2146, 689, 1776, 269, 13018, 269, 14871, 20504, 766, 540, 670, 539, 4577, 7913, 3203, 604, 9711, 281, 513, 7869, 540, 29283, 18880, 21887, 269, 8638, 2139, 693, 3163, 17445, 6176, 5004, 4760, 1753, 2457, 281, 8940, 269, 12828, 22609, 2593, 15828, 11229, 270, 574, 14871, 10343, 540, 15949, 4577, 3059, 13742, 2433, 589, 3069, 540, 4616, 2418, 5133, 744, 286, 337, 570, 675, 331, 513, 267, 24682, 12138, 590, 7967, 14150, 536, 267, 272, 267, 19162, 645, 2632, 529, 524, 267, 273, 513, 5441, 540, 6355, 543, 13188, 267, 4993, 269, 23314, 267, 20185, 267, 3090, 1436, 267, 543, 7664, 563, 4322, 3157, 616, 3989, 543, 4843, 538, 513, 1007, 2203, 1572, 2686, 6384, 269, 5565, 540, 519, 3157, 3769, 538, 519, 2686, 6384, 2203, 616, 4922, 6444, 543, 723, 7902, 538, 6436, 540, 3919, 1354, 281, 7464, 1436, 568, 851, 540, 533, 10134, 4815, 2220, 582, 267, 1284, 1157, 781, 269, 519, 4998, 856, 532, 585, 3885, 547, 8661, 29016, 779, 10583, 3979, 1977, 6561, 269, 634, 9754, 779, 3979, 1977, 4015, 2882, 2686, 13742, 2073, 22251, 543, 1344, 827, 2199, 3979, 1977, 3906, 267, 4213, 543, 13275, 12335, 540, 4332, 543, 2669, 267, 5238, 269, 20307, 13495, 11253, 781, 19974, 286, 10765, 23937, 1331, 519, 1688, 25740, 269, 670, 9331, 476, 12208, 2622, 9177, 4083, 12143, 12143, 476, 274, 281, 8836, 11314, 7797, 269, 670, 9331, 476, 12208, 2622, 9177, 4083, 12143, 12143, 476, 274, 281, 8836, 11314, 7797, 1677, 16179, 713, 4147, 25767, 13594, 2630, 3095, 538, 707, 645, 992, 518, 5291, 2517, 24610, 1740, 2958, 1890, 2593, 7933, 5877, 338, 10774, 636, 268, 12208, 8996, 2275, 11857, 268, 4512, 12431, 9892, 12431, 9892, 268, 274, 268, 2686, 910, 13808, 3146, 1636, 270, 2107, 16731, 3776, 19534, 16731, 2433, 5291, 2517, 4178, 19544, 727, 1740, 2958, 1890, 563, 3674, 519, 1849, 990, 529, 13216, 3013, 781, 23778, 5006, 2776, 18856, 9177, 286, 9177, 286, 634, 1849, 990, 529, 8836, 13216, 267, 3957, 1310, 519, 12335, 540, 4332, 267, 4087, 540, 922, 10747, 3135, 267, 519, 4828, 267, 1849, 990, 529, 13505, 267, 568, 4092, 538, 1849, 990, 529, 267, 1715, 6792, 269, 634, 1849, 990, 529, 8836, 13216, 267, 1934, 12898, 1634, 3274, 607, 1849, 990, 529, 267, 568, 11593, 30753, 998, 519, 4527, 540, 922, 1883, 10368, 31074, 2433, 519, 540, 4332, 543, 2669, 267, 1849, 990, 529, 1448, 269, 20307, 286, 634, 563, 10870, 268, 8836, 7869, 22685, 1154, 8789, 1895, 9479, 538, 8942, 547, 1118, 835, 779, 3961, 1447, 7298, 267, 598, 14127, 547, 4122, 7608, 4978, 827, 1895, 2818, 607, 513, 7580, 1797, 547, 540, 4332, 267, 17908, 873, 585, 2123, 2744, 267, 543, 1102, 997, 1154, 5626, 1928, 998, 2123, 6285, 593, 8789, 1895, 2818, 269, 16329, 1670, 1401, 3031, 527, 538, 519, 2817, 7467, 540, 519, 13372, 269, 7467, 281, 7467, 540, 519, 4858, 2738, 4828, 267, 27208, 4658, 10268, 606, 4266, 543, 2669, 267, 10373, 4015, 540, 13742, 2073, 882, 923, 543, 3140, 3615, 540, 519, 13372, 269, 898, 849, 24428, 4241, 543, 10578, 28028, 10824, 267, 11113, 267, 17428, 543, 30660, 267, 15456, 13742, 2073, 13049, 1845, 267, 6186, 14613, 543, 513, 2898, 2603, 811, 269, 634, 9754, 729, 5258, 269, 540, 10058, 543, 30753, 2686, 4162, 568, 11360, 21718, 269, 630, 307, 4596, 338, 476, 272, 476, 273, 264, 24272, 553, 2103, 609, 8129, 824, 982, 8832, 610, 5375, 3864, 945, 1869, 3180, 543, 1871, 741, 6803, 3961, 855, 798, 865, 1510, 1514, 1942, 616, 21718, 269, 630, 307, 4596, 338, 476, 274, 476, 275, 264, 634, 15889, 13742, 2813, 676, 513, 2528, 616, 21718, 269, 1547, 717, 3633, 13975, 5149, 476, 272, 11929, 4985, 547, 8836, 28668, 269, 717, 3633, 13975, 5149, 476, 272, 11929, 4985, 547, 8836, 28668, 8437, 13017, 12989, 1677, 16179, 281, 5291, 2517, 327, 342, 322, 25283, 2593, 270, 3333, 641, 270, 3022, 13975, 15492, 268, 272, 7721, 600, 270, 13038, 14893, 5999, 630, 11767, 707, 4267, 593, 519, 20583, 2626, 6656, 264, 476, 272, 269, 6904, 540, 519, 1739, 1131, 711, 581, 2808, 513, 29286, 1369, 519, 269, 9995, 7723, 4224, 2934, 267, 1312, 2067, 543, 4266, 543, 2669, 267, 5249, 267, 941, 849, 6534, 267, 543, 930, 476, 16020, 267, 1822, 13742, 941, 16626, 689, 519, 3135, 563, 5472, 891, 2959, 723, 23353, 24085, 1620, 540, 519, 3140, 267, 2686, 543, 875, 547, 11360, 2272, 267, 1514, 4567, 540, 519, 32520, 543, 12335, 267, 519, 1808, 1686, 540, 519, 3135, 543, 922, 1585, 31269, 269, 7790, 297, 652, 18223, 772, 30445, 5437, 476, 736, 267, 476, 1001, 274, 8836, 28668, 2605, 269, 28089, 808, 32667, 267, 521, 341, 323, 11314, 3143, 269, 272, 1107, 5437, 476, 277, 267, 476, 1001, 274, 476, 272, 269, 16294, 519, 1739, 2474, 281, 513, 269, 28668, 968, 763, 2262, 19795, 568, 20909, 1714, 6665, 535, 4800, 6508, 689, 519, 5259, 1913, 10236, 334, 267, 2495, 968, 16058, 7919, 892, 610, 968, 21065, 1678, 785, 2223, 543, 2845, 807, 267, 12261, 269, 476, 1001, 273, 12834, 281, 8836, 21094, 543, 8836, 11595, 5004, 901, 1433, 11394, 547, 1683, 519, 13275, 12335, 4266, 543, 2669, 267, 5467, 610, 15805, 609, 4030, 593, 875, 519, 1079, 10600, 267, 9235, 543, 2686, 6561, 2359, 12969, 267, 855, 849, 875, 789, 4655, 538, 602, 789 ]

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

[ 694, 335, 6889, 4939, 19515, 0, 258, 2300, 619, 823, 476, 272, 692, 12528, 12173, 815, 3403, 2891, 1432, 568, 707, 2012, 286, 19515, 720, 815, 703, 9272, 6600, 257, 1692, 2025, 616, 596, 2715, 12528, 12173, 348, 286, 27328, 331, 6327, 815, 3403, 6600, 257, 8489, 798, 596, 2661, 2715, 12528, 12173, 348, 286, 19515, 2745, 2891, 7069, 2012, 568, 2715, 271, 20467, 3733, 2085, 568, 2715, 272, 20467, 594, 2661, 538, 2715, 273, 348, 2668, 8971, 263, 12528, 12173, 267, 2085, 267, 4087, 4917, 2745, 6600, 257, 7069, 2012, 568, 2715, 12528, 12173, 20467, 3733, 2085, 568, 2715, 720, 20467, 594, 2661, 538, 2715, 331, 6327, 348, 257, 9239, 258, 2012, 815, 834, 7692, 4840, 258, 2085, 815, 476, 1240, 454, 16482, 258, 1820, 2891, 17098, 834, 1341, 2012, 1341, 834, 834, 1341, 1193, 263, 720, 264, 1341, 834, 32405, 258, 1820, 2891, 17098, 14307, 2012, 2437, 14307, 2085, 267, 834, 256, 2580, 694, 335, 284, 3269, 994, 258, 1820, 2891, 17098, 2715, 271, 348, 2715, 272, 348, 256, 2668, 8971, 28442, 267, 1193, 263, 720, 21875, 258, 1820, 2891, 17098, 2715, 271, 348, 2715, 272, 348, 256, 2668, 8971, 28442, 267, 1193, 263, 720, 30727, 1948, 5570, 526, 266, 291, 3009, 26134, 454, 258, 1820, 2891, 17098, 4939, 338, 4939, 328, 10590, 4939, 630, 4067, 267, 2085, 4917, 258, 1820, 6600, 257, 17098, 2715, 4067, 348, 2715, 720, 348, 10590, 2020, 0, 258, 476, 275, 12405, 692, 258, 4005, 815, 3403, 2891, 1432, 4005, 568, 621, 1631, 286, 19515, 16482, 258, 952, 4005, 31573, 3890, 2652, 834, 342, 5793, 13426, 258, 672, 1820, 2891, 21607, 593, 707, 29075, 5602, 16482, 258, 3116, 912, 16482, 258, 672, 952, 630, 572, 1783, 2652, 834, 306, 7428, 257, 2187, 258, 1363, 1820, 2891, 21607, 593, 707, 10887, 5602, 16482, 258, 672, 952, 630, 572, 1783, 2652, 834, 11764, 1067, 257, 2187, 258, 1363, 1820, 2891, 21607, 593, 707, 2110, 338, 5602, 16482, 258, 672, 952, 4005, 2652, 834, 8505, 4379, 13426, 258, 1038, 1820, 2891, 21607, 593, 707, 4764, 1723, 520, 5602, 16482, 258, 672, 3116, 912, 258, 1363, 1820, 2891, 13286, 257, 9239, 572, 1783, 815, 3403, 2891, 1432, 4005, 568, 621, 1631, 286, 834, 2020, 604, 4005, 31573, 3890, 2652, 834, 342, 5793, 13426, 825, 1820, 2891, 21607, 593, 707, 29075, 15419, 19197, 4005, 31573, 3890, 2652, 834, 338, 7428, 13426, 825, 1820, 2891, 21607, 593, 707, 10887, 15419, 19197, 4005, 31573, 3890, 2652, 834, 8999, 1067, 13426, 825, 1820, 2891, 21607, 593, 707, 2110, 338, 15419, 19197, 4005, 31573, 3890, 2652, 834, 2246, 4379, 13426, 825, 1820, 2891, 21607, 593, 707, 4764, 1723, 520, 15419, 12828, 912, 825, 1820, 2891, 13286, 257, 9239, 0, 5228, 28184, 5793, 1104, 2608, 692, 3698, 2040, 5332, 13246, 10031, 825, 2040, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 21715, 2020, 825, 1948, 13765, 602, 4610, 616, 711, 5022, 543, 711, 8900, 7531, 825, 952, 2040, 6958, 1752, 318, 272, 10947, 3890, 543, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 3546, 2040, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 2040, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 3546, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 8999, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 2040, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 4433, 636, 6958, 1752, 318, 272, 10947, 3890, 11924, 842, 4433, 636, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 2040, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 10208, 5332, 13246, 3890, 1384, 825, 10208, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 4433, 889, 339, 847, 6958, 1752, 318, 272, 10947, 3890, 543, 10208, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 10208, 6958, 1752, 318, 272, 10947, 3890, 543, 10208, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 10208, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 10208, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 10208, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 2018, 10208, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 11357, 339, 847, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 10208, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 4433, 889, 339, 847, 6958, 1752, 318, 272, 10947, 28829, 910, 703, 4433, 889, 339, 847, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 9062, 5332, 13246, 3890, 1384, 825, 9062, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 9852, 738, 17586, 6958, 1752, 318, 272, 10947, 3890, 543, 9062, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 9062, 6958, 1752, 318, 272, 10947, 3890, 543, 9062, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 9062, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 9062, 6958, 1752, 318, 273, 10947, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 27210, 2018, 9062, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 9062, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 1038, 9062, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 9852, 738, 17586, 6958, 1752, 318, 272, 10947, 28829, 2608, 703, 9852, 738, 17586, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 3116, 912, 1038, 10208, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 3698, 7941, 5332, 13246, 3890, 1384, 825, 7941, 6958, 1752, 318, 14310, 19709, 8541, 263, 271, 267, 13673, 291, 2020, 825, 1820, 6357, 944, 5560, 643, 728, 6958, 1752, 318, 272, 10947, 3890, 543, 7941, 6958, 1752, 318, 273, 10947, 3890, 11723, 825, 952, 7941, 6958, 1752, 318, 273, 10947, 3890, 2652, 834, 271, 257, 1384, 1038, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 15965, 1707, 676, 4642, 10590, 2020, 825, 8640, 7941, 6958, 1752, 318, 272, 10947, 3890, 543, 7941, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 7941, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 7941, 6958, 1752, 318, 273, 10947, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 543, 630, 692, 2018, 7941, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2652, 25023, 610, 711, 7941, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 3890, 4297, 1384, 2018, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 703, 5560, 643, 728, 6958, 1752, 318, 272, 10947, 28829, 1315, 703, 5560, 643, 728, 6958, 1752, 318, 273, 10947, 28829, 9239, 825, 3116, 912, 1038, 7941, 6958, 1752, 318, 14310, 27044, 263, 21715, 267, 834, 684, 1410, 4624, 3403, 15419, 10174, 815, 570, 330, 10797, 258, 8999, 692, 8999, 6958, 1752, 318, 272, 815, 28678, 4590, 8999, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 271, 2020, 299, 8475, 29495, 6889, 266, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 271, 2020, 8999, 6958, 1752, 318, 273, 815, 28678, 4590, 8999, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 271, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 8999, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 271, 2020, 8999, 6958, 1752, 318, 14310, 815, 28678, 4590, 8999, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 271, 2020, 258, 11357, 339, 847, 692, 11357, 339, 847, 6958, 1752, 318, 272, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 272, 2020, 299, 8475, 29495, 6889, 268, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 272, 2020, 11357, 339, 847, 6958, 1752, 318, 273, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 272, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 11357, 339, 847, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 272, 2020, 11357, 339, 847, 6958, 1752, 318, 14310, 815, 28678, 4590, 11357, 339, 847, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 272, 2020, 258, 8691, 692, 20123, 17586, 6958, 1752, 318, 272, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 273, 2020, 299, 8475, 29495, 6889, 265, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 273, 2020, 20123, 17586, 6958, 1752, 318, 273, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 273, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 20123, 17586, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 273, 2020, 20123, 17586, 6958, 1752, 318, 14310, 815, 28678, 4590, 20123, 17586, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 273, 2020, 258, 6498, 692, 15965, 728, 6958, 1752, 318, 272, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 272, 26942, 263, 26383, 284, 271, 267, 4737, 284, 274, 2020, 299, 8475, 29495, 6889, 270, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 274, 2020, 15965, 728, 6958, 1752, 318, 273, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 273, 26942, 263, 26383, 284, 273, 267, 4737, 284, 274, 2020, 3719, 2023, 29495, 6889, 284, 2580, 4971, 284, 15965, 728, 5332, 13246, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 274, 2020, 15965, 728, 6958, 1752, 318, 14310, 815, 28678, 4590, 15965, 728, 6958, 1752, 318, 14310, 26942, 263, 26383, 284, 275, 267, 4737, 284, 274, 2020, 10174, 6230, 664, 31467, 30800, 10174, 815, 570, 330, 10797, 258, 513, 815, 834, 13906, 4840, 16482, 16482, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2318, 8870, 2715, 320, 18994, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2942, 8870, 2715, 320, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 513, 568, 2698, 8870, 2715, 320, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 3890, 610, 513, 18994, 333, 10179, 545, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 5569, 2715, 320, 18994, 10401, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 711, 5569, 2715, 2254, 513, 18994, 10401, 3890, 348, 5602, 258, 1820, 6600, 257, 19702, 762, 568, 8870, 543, 711, 5569, 2715, 320, 18994, 333, 10179, 545, 3890, 543, 711, 513, 18994, 10401, 3890, 348, 5602, 16482, 258, 1820, 9230, 320, 18994, 333, 10179, 545, 3890, 610, 513, 314, 271, 316, 2525, 262, 268, 262, 543, 513, 314, 272, 281, 4940, 529, 333, 10179, 545, 28829, 610, 711, 513, 18994, 10401, 15405, 16482, 16482, 258, 630, 8999, 6958, 1752, 318, 272, 10947, 14061, 529, 333, 10179, 545, 3890, 610, 2040, 6958, 1752, 318, 272, 10947, 3890, 543, 2040, 6958, 1752, 318, 272, 10947, 3890, 314, 271, 316, 2525, 262, 268, 262, 610, 711, 2040, 6958, 1752, 318, 272, 10947, 14061, 529, 10401, 28829, 543, 454, 258, 630, 8999, 6958, 1752, 318, 273, 10947, 14061, 529, 333, 10179, 545, 3890, 610, 2040, 6958, 1752, 318, 273, 10947, 3890, 543, 2040, 6958, 1752, 318, 273, 10947, 3890, 314, 271, 316, 2525, 262, 268, 262, 610, 711, 2040, 6958, 1752, 318, 273, 10947, 14061, 529, 10401, 31156, 258, 1820, 5416, 18994, 333, 10179, 545, 15405, 258, 1820, 5416, 314, 271, 316, 2525, 27324, 257 ]

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

[ 593, 513, 3460, 998, 930, 540, 519, 1034, 10875, 8916, 543, 694, 2444, 16747, 10023, 22260, 543, 4672, 6199, 338, 256, 1284, 3513, 1451, 827, 875, 891, 2067, 13300, 1106, 267, 3605, 4241, 5013, 267, 543, 2263, 875, 5159, 3142, 873, 547, 1272, 538, 741, 10367, 780, 1262, 1432, 3657, 3794, 659, 4536, 543, 10979, 6199, 338, 15140, 265, 10908, 659, 4536, 265, 616, 3500, 2173, 8221, 8933, 540, 4672, 602, 22132, 1164, 909, 538, 10239, 610, 8701, 4525, 1141, 6777, 7213, 12885, 5488, 982, 621, 5283, 1206, 269, 3683, 942, 267, 713, 11741, 539, 6777, 7140, 883, 4396, 4672, 1813, 547, 2810, 2604, 689, 6106, 2390, 6106, 540, 1007, 6777, 6420, 269, 1879, 8904, 27605, 713, 5230, 2527, 1524, 24824, 267, 621, 5956, 922, 16795, 16350, 2509, 2539, 6173, 725, 267, 2870, 513, 27224, 780, 2304, 2608, 823, 6199, 24682, 29285, 267, 568, 513, 1804, 4062, 540, 13735, 4672, 602, 9397, 1055, 630, 528, 1608, 1407, 264, 689, 513, 3677, 1560, 540, 4672, 267, 971, 607, 513, 27224, 610, 4672, 15808, 269, 1452, 897, 1601, 531, 25098, 540, 4672, 1287, 20847, 2059, 5836, 14768, 267, 1419, 1818, 20498, 10525, 607, 789, 15835, 543, 6521, 5546, 780, 1262, 13528, 566, 540, 3794, 659, 4536, 543, 10979, 6199, 338, 4373, 5331, 6972, 2066, 513, 2361, 4988, 12597, 11546, 788, 538, 28448, 15468, 6777, 269, 3962, 1900, 14771, 525, 519, 6777, 9944, 707, 3952, 267, 4929, 621, 547, 1831, 16437, 518, 543, 811, 11741, 269, 1306, 596, 3136, 6972, 267, 1142, 4494, 735, 9711, 1256, 2417, 896, 519, 2597, 540, 1346, 1657, 621, 269, 2991, 1082, 3275, 610, 1296, 267, 952, 2614, 6777, 8813, 538, 835, 1747, 543, 3085, 1405, 7357, 15835, 2476, 1282, 15911, 12405, 267, 519, 4420, 2174, 739, 6106, 2981, 883, 4396, 4672, 780, 1607, 1184, 28197, 3294, 1032, 1310, 1032, 267, 4611, 538, 23198, 543, 9962, 9212, 540, 4672, 269, 16828, 267, 8904, 3217, 3180, 267, 17444, 519, 3389, 5006, 6810, 18746, 267, 27510, 519, 5250, 540, 513, 27224, 780, 2026, 22260, 1332, 543, 2095, 4724, 2539, 2666, 267, 789, 4584, 909, 7725, 267, 3037, 267, 543, 824, 11935, 2059, 519, 1259, 269, 674, 9689, 3361, 676, 891, 2326, 25815, 519, 27224, 781, 3350, 855, 849, 2337, 3337, 519, 5251, 2630, 621, 269, 3683, 5553, 267, 22260, 1286, 557, 856, 23898, 267, 575, 537, 613, 856, 772, 11057, 512, 893, 338, 267, 1711, 2849, 664, 525, 630, 5090, 2471, 1500, 540, 4224, 1570, 1070, 543, 4734, 3297, 12627, 2312, 12647, 780, 2691, 25098, 540, 4672, 2736, 1863, 689, 513, 27224, 610, 4672, 15808, 543, 10581, 883, 1930, 1216, 267, 789, 1831, 4672, 6199, 338, 269, 1452, 23836, 23766, 2097, 538, 782, 5546, 543, 7306, 31539, 1507, 536, 1458, 11353, 547, 11999, 9184, 983, 4672, 6199, 338, 602, 12701, 1896, 5195, 1279, 269, 8307, 827, 476, 1015, 260, 540, 606, 4672, 6199, 3788, 7298, 1657, 1216, 282, 519, 6967, 24760, 6712, 13514, 1713, 10898, 585, 9635, 10188, 7404, 7297, 780, 1262, 9209, 2065, 3493, 11881, 540, 3794, 659, 4536, 543, 10979, 6199, 338, 4373, 6624, 4583, 5159, 2429, 1686, 723, 8179, 6667, 538, 519, 18198, 29278, 2813, 676, 22260, 543, 4672, 6199, 338, 269, 4256, 10367, 18427, 4606, 540, 4898, 267, 1151, 3363, 267, 6264, 16725, 267, 543, 1256, 8594, 2404, 609, 891, 15999, 2244, 13257, 780, 2690, 1383, 267, 1977, 18048, 12049, 20143, 3798, 7773, 5783, 9676, 519, 9759, 540, 4793, 6782, 807, 781, 27726, 14099, 538, 1010, 20100, 834, 763, 1656, 525, 540, 28130, 2437, 799, 2934, 25412, 7823, 19589, 546, 1905, 539, 609, 1350, 626, 2287, 22260, 269, 6684, 267, 21785, 7376, 16677, 518, 7195, 651, 27472, 1242, 13588, 609, 1010, 10565, 26007, 540, 818, 8157, 8916, 31523, 609, 6159, 1375, 344, 4672, 1166, 3996, 543, 3138, 4040, 4672, 6199, 338, 780, 5415, 5063, 267, 4207, 7376, 2098, 7559, 4813, 534, 3096, 2250, 1564, 547, 1711, 3810, 10853, 28402, 540, 23529, 781, 6385, 4657, 30961, 1604, 269, 4173, 9159, 15885, 4196, 607, 1312, 8353, 24312, 24886, 26620, 543, 22880, 23106, 540, 2916, 1689, 781, 1764, 593, 3047, 781, 17866, 8134, 780, 1262, 6962, 4373, 9961, 713, 1770, 267, 649, 4312, 8268, 519, 4241, 1158, 540, 22260, 543, 4672, 6199, 338, 267, 1565, 827, 741, 5250, 267, 4162, 267, 543, 4644, 1369, 1585, 7499, 5389, 269, 1635, 1620, 875, 891, 6909, 2067, 9259, 1020, 543, 2170, 609, 741, 10450, 267, 649, 2744, 3407, 4030, 883, 1312, 519, 5898, 543, 1761, 829, 2812, 540, 938, 4541, 781, 3309, 8916, 543, 694, 2444, 16747, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 901, 2680, 814, 5293, 563, 15812, 674, 7568, 636, 543, 21142, 623, 2355, 322, 684, 2443, 14956, 2287, 1234, 4003, 269, 8058, 8255, 998, 5239, 476, 4029, 454, 19751, 476, 276, 267, 476, 1001, 280, 7711, 476, 273, 281, 876, 10681, 910, 476, 275, 281, 876, 10681, 454, 303, 31021, 1657, 568, 676, 4460, 674, 7568, 636, 454, 10403, 6679, 21200, 14349, 267, 5239, 476, 276, 628, 267, 476, 273, 281, 876, 1107, 476, 275, 281, 876, 6751, 563, 5475, 519, 6679, 21200, 267, 519, 1397, 786, 2196, 2394, 5239, 476, 4029, 267, 543, 666, 581, 2938, 1354, 12644, 610, 676, 13393, 269, 11910, 476, 31979, 268, 28670, 268, 25148, 271, 563, 15812, 674, 7568, 636, 30310, 779, 15048, 912, 15812, 3323, 7206, 950, 646, 19622, 689, 519, 8136, 538, 1010, 2038, 13683, 625, 269, 1261, 1568, 609, 28778, 19267, 267, 543, 1010, 5396, 616, 8916, 267, 694, 2444, 16747, 267, 3046, 985, 267, 1004, 267, 1919, 2443, 8726, 26182, 1864, 593, 1022, 2016, 1554, 563, 3891, 2729, 538, 14977, 2590, 5069, 563, 2704, 534, 623, 2355, 322, 684, 30310, 779, 15048, 912, 763, 1480, 1106, 814, 9859, 803, 585, 936, 476, 1789, 1296, 267, 689, 1250, 3355, 1445, 607, 513, 2875, 540, 6140, 8106, 4137, 547, 519, 811, 7493, 539, 3029, 540, 1250, 10927, 960, 269, 594, 3136, 547, 1847, 1394, 543, 8521, 1063, 873, 547, 2226, 1250, 1378, 3666, 269, 3733, 960, 8100, 627, 565, 8864, 267, 13438, 267, 22636, 267, 26610, 267, 865, 607, 547, 2992, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10908, 659, 4536, 543, 10979, 6199, 338, 257, 607, 851, 540, 834, 11286, 1315, 23527, 1299, 21771, 1315, 14924, 7870, 1299, 1530, 2444, 16747, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 29318, 281, 853, 10107, 15907, 543, 6970, 6748, 24410, 1076, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 9289, 1018, 781, 8345, 3330, 707, 5023, 950, 596, 3548, 1945, 6653, 286, 2107, 1946, 798, 930, 1004, 1205, 19659, 811, 1419, 982, 1866, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 4551, 602, 2661, 538, 938, 28182, 256, 13018, 267, 649, 786, 1451, 827, 875, 891, 6263, 7103, 6529, 1472, 543, 3935, 1125, 1114, 7252, 267, 799, 666, 3006, 1291, 547, 5959, 2042, 899, 5694, 9178, 780, 4089, 476, 272, 281, 1548, 616, 29318, 888, 289, 22160, 616, 2582, 16052, 539, 14471, 1336, 3592, 10876, 1107, 538, 1216, 267, 3037, 267, 2371, 267, 2831, 267, 543, 1256, 538, 938, 1378, 4703, 256, 1358, 2097, 538, 1585, 5546, 543, 7306, 267, 855, 782, 723, 835, 1455, 3804, 281, 6668, 269, 4107, 4551, 616, 20027, 543, 1256, 5363, 267, 971, 607, 1346, 2713, 538, 938, 8937, 267, 4543, 721, 7558, 1426, 269, 1717, 267, 1978, 2010, 540, 4551, 666, 2014, 3676, 952, 789, 1265, 741, 1259, 883, 2694, 540, 519, 1560, 1141, 789, 1810, 1406, 4866, 780, 4089, 476, 273, 281, 645, 17424, 1520, 1127, 542, 543, 16690, 1436, 454, 3086, 267, 4952, 3843, 547, 7639, 1247, 13735, 2832, 8393, 538, 513, 5318, 5836, 630, 528, 707, 5023, 1040, 16319, 9157, 267, 1318, 286, 2334, 781, 1946, 1082, 4551, 1020, 2081, 547, 8936, 2933, 547, 7252, 267, 8108, 2950, 1572, 6915, 16344, 916, 269, 12713, 28291, 5250, 5956, 609, 9190, 28455, 9789, 1184, 676, 799, 1367, 4551, 2281, 561, 2255, 5196, 513, 2627, 1210, 4552, 6438, 3889, 1572, 7796, 328, 610, 535, 12494, 686, 2801, 269, 4495, 7923, 267, 789, 1376, 14921, 267, 14379, 609, 1142, 824, 267, 543, 608, 920, 1154, 6878, 602, 948, 873, 6529, 1927, 1732, 267, 2870, 513, 28489, 344, 4494, 1634, 607, 29414, 5119, 269, 1656, 21350, 10042, 256, 1411, 1631, 723, 513, 4628, 4646, 6915, 28291, 780, 1103, 938, 28182, 267, 24494, 3536, 1683, 7899, 540, 4492, 585, 5711, 4551, 547, 1332, 6385, 269, 1879, 789, 8532, 4006, 267, 789, 3132, 3679, 607, 513, 3653, 1587, 269, 3683, 942, 267, 713, 3679, 2144, 3941, 519, 8825, 19596, 15098, 593, 4522, 267, 3056, 547, 19659, 610, 5694, 9178, 269, 1924, 1985, 942, 596, 3914, 585, 602, 17711, 3046, 267, 3314, 621, 1223, 5732, 1291, 547, 13311, 14538, 4259, 909, 3786, 538, 707, 5023, 2439, 4089, 476, 274, 281, 16473, 532, 1133, 342, 5896, 2871, 3949, 454, 2080, 2501, 519, 1034, 1271, 2243, 281, 1215, 666, 649, 2061, 891, 5739, 4551, 689, 4929, 3441, 286, 4279, 3377, 256, 1703, 616, 1896, 2994, 547, 2226, 1434, 5711, 9882, 543, 1832, 707, 12837, 2635, 1384, 272, 269, 5696, 2313, 7466, 3232, 281, 5269, 2386, 547, 11453, 707, 4522, 8499, 585, 1079, 3764, 267, 8757, 1169, 562, 809, 543, 1835, 15967, 269, 901, 2337, 4894, 15799, 19221, 543, 6971, 519, 1297, 540, 4551, 538, 707, 5023, 563, 273, 269, 4469, 1601, 5781, 281, 4469, 1601, 532, 18788, 16290, 1426, 5536, 1063, 4522, 1141, 707, 28750, 949, 4413, 269, 898, 849, 7519, 338, 3384, 6915, 16344, 916, 1354, 789, 1831, 1932, 2178, 563, 274, 269, 23423, 24494, 16152, 281, 1306, 5018, 4505, 267, 4006, 20555, 5711, 4551, 267, 865, 5969, 1394, 593, 26265, 666, 3970, 741, 2208, 543, 7766, 3679, 2504, 563, 275, 269, 8617, 11290, 11564, 281, 12333, 2973, 902, 543, 2638, 5725, 2327, 1022, 1761, 2152, 616, 9575, 2038, 267, 3850, 585, 5401, 2126, 543, 6604, 540, 2417, 8374, 563, 276, 269, 11559, 2635, 19975, 2095, 281, 6428, 10216, 3568, 2067, 8878, 6127, 1996, 4551, 269, 4258, 9405, 4006, 6954, 10733, 1310, 6980, 22262, 19975, 2504, 267, 32092, 532, 2476, 31629, 1426, 5536, 543, 9243, 1944, 7408, 3812, 676, 4551, 780, 6962, 912, 9961, 713, 3184, 267, 649, 3460, 539, 998, 519, 6909, 1158, 540, 4551, 267, 1565, 827, 741, 2702, 547, 15666, 543, 1106, 10125, 1572, 6915, 16344, 916, 269, 1284, 4362, 519, 1909, 891, 3157, 1404, 538, 5959, 1072, 267, 4481, 3823, 5694, 9178, 3361, 676, 5739, 5711, 4551, 269, 1635, 1620, 875, 4551, 13789, 267, 649, 666, 1491, 3617, 3800, 547, 2149, 6000, 689, 11991, 5959, 13542, 269, 5457, 267, 4509, 1434, 5711, 9882, 6208, 8952, 1312, 596, 543, 707, 7874, 8378, 26966, 1235, 6126, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 300, 9169, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 273, 300, 9169, 267, 5449, 7905, 543, 10361, 267, 4972, 540, 13106, 16599, 923, 267, 717, 17584, 261, 6020, 267, 10854, 531, 648, 267, 3127, 454, 274, 300, 9169, 267, 5449, 17976, 337, 267, 4972, 540, 11270, 2632, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 275, 300, 9169, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 267, 3127, 454, 265, 11754, 816, 585, 4856, 22046, 775, 281, 717, 2246, 600, 717, 267, 24153, 267, 4972, 540, 13106, 16599, 923, 267, 962, 21587, 15482, 5441, 543, 11233, 267, 18937, 328, 29180, 476, 25148, 13975, 267, 3127, 267, 20052, 281, 1341, 11011, 268, 4200, 274, 5881, 277, 279, 2764, 271, 282, 19478, 281, 4757, 11333, 2593, 454, 291, 919, 281, 4427, 4784, 281, 476, 736, 4873, 476, 1001, 278, 282, 10088, 1386, 281, 476, 2764, 5147, 476, 1001, 278, 282, 15618, 281, 476, 4029, 5147 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 934, 565, 3547, 538, 9098, 779, 3309, 7111, 1977, 2146, 267, 22118, 8291, 786, 581, 711, 1152, 513, 1390, 6205, 267, 855, 786, 948, 2327, 602, 519, 9098, 7467, 540, 20963, 8551, 568, 513, 9754, 602, 5088, 806, 782, 8436, 3034, 5472, 8725, 814, 6039, 593, 519, 966, 300, 11902, 8274, 540, 11565, 4315, 2094, 476, 1001, 278, 607, 513, 4759, 540, 519, 4065, 9730, 267, 674, 14166, 744, 951, 697, 9730, 267, 32633, 3215, 4427, 1260, 2466, 6590, 543, 15445, 9730, 269, 769, 476, 1708, 272, 267, 1352, 15695, 519, 24498, 16457, 9730, 547, 1020, 966, 300, 11902, 779, 2244, 11760, 5443, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2026, 14397, 7108, 30135, 257, 607, 851, 540, 834, 11286, 1315, 3979, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 5863, 1158, 540, 1239, 256, 1411, 1522, 581, 11842, 1018, 1239, 568, 543, 1946, 621, 781, 1271, 269, 4270, 267, 4952, 596, 616, 593, 513, 14951, 6968, 269, 1677, 1265, 519, 16782, 267, 596, 991, 10881, 610, 1344, 602, 786, 1291, 596, 6251, 547, 873, 269, 2334, 781, 4010, 1018, 1239, 568, 910, 4773, 540, 1344, 602, 948, 721, 1451, 1007, 1919, 543, 4194, 2042, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 930, 3579, 4025, 1141, 3744, 2445, 1239, 827, 938, 4541, 543, 875, 789, 2671, 621, 609, 1866, 780, 5575, 267, 1577, 781, 2911, 827, 1945, 1572, 834, 24618, 3163, 4578, 7010, 2437, 610, 11536, 9169, 585, 2110, 269, 1452, 11570, 960, 2182, 547, 5531, 1344, 827, 938, 1753, 4541, 865, 649, 666, 1732, 1174, 621, 269, 1358, 1353, 3388, 689, 16767, 543, 24377, 547, 2916, 1689, 543, 22747, 256, 1635, 10655, 713, 3407, 1239, 267, 789, 1711, 513, 5458, 5399, 540, 5013, 543, 5515, 827, 3047, 269, 1656, 7058, 1018, 286, 1358, 1616, 3025, 1107, 1519, 9358, 1107, 547, 723, 1863, 1569, 547, 741, 4681, 256, 1215, 15813, 568, 602, 286, 9462, 490, 491, 6930, 504, 478, 692, 3086, 267, 972, 781, 1776, 9735, 1788, 1572, 11483, 6395, 267, 799, 6763, 585, 20497, 9540, 25823, 4578, 21733, 9974, 269, 16319, 7294, 267, 855, 1810, 1405, 5855, 267, 594, 9153, 621, 3884, 1405, 256, 5994, 2348, 707, 1360, 1378, 9682, 10760, 1472, 3047, 267, 2921, 5961, 543, 11018, 9623, 1175, 585, 596, 256, 2334, 1131, 581, 7168, 16517, 267, 26001, 286, 1809, 15408, 899, 1346, 666, 581, 7199, 269, 1924, 267, 7064, 547, 11483, 6395, 267, 3744, 945, 4309, 7616, 689, 519, 2817, 3163, 7690, 1205, 1569, 547, 891, 2706, 22342, 2645, 1510, 1022, 3063, 3790, 256, 898, 2337, 873, 798, 1256, 811, 6909, 1382, 269, 9320, 14693, 835, 540, 1346, 15408, 1223, 948, 596, 3605, 6456, 31140, 610, 3950, 5068, 3653, 538, 938, 12084, 256, 9462, 505, 364, 20804, 27501, 375, 20804, 692, 15563, 267, 649, 3112, 7340, 700, 7563, 12780, 269, 1403, 596, 2648, 6061, 13410, 267, 1287, 596, 3513, 740, 648, 700, 7563, 12780, 1317, 922, 5692, 568, 547, 4062, 1927, 1344, 689, 1082, 1114, 2959, 269, 13018, 267, 789, 1445, 593, 5020, 18888, 8178, 906, 630, 9448, 2026, 1070, 799, 1797, 4974, 1169, 1900, 540, 513, 1587, 781, 1272, 1107, 689, 950, 621, 781, 1101, 1500, 2394, 621, 3587, 17885, 269, 6056, 827, 707, 5172, 11442, 282, 2576, 1185, 547, 9553, 2326, 267, 5478, 621, 267, 10189, 621, 267, 3560, 621, 1862, 663, 6368, 267, 26565, 540, 621, 269, 2060, 700, 7563, 12780, 267, 3173, 9192, 6266, 540, 2370, 11353, 540, 1239, 547, 1294, 519, 2462, 4605, 543, 4137, 856, 2081, 547, 1118, 2472, 22928, 543, 10930, 585, 938, 1604, 269, 9462, 490, 365, 6930, 498, 361, 692, 3383, 1631, 596, 917, 875, 4241, 543, 1187, 2324, 609, 1239, 666, 581, 256, 12207, 10876, 7048, 593, 891, 2200, 547, 4228, 938, 1702, 827, 3047, 543, 3564, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 596, 3513, 1831, 513, 1239, 24413, 1932, 267, 26500, 11580, 543, 1818, 14262, 8906, 256, 8414, 3695, 256, 9462, 502, 488, 6930, 496, 375, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10574, 30498, 543, 4578, 24486, 8249, 454, 288, 1592, 540, 5989, 2200, 2813, 676, 3173, 6462, 676, 519, 2817, 3163, 7690, 781, 4317, 267, 19884, 543, 9483, 7070, 10615, 622, 4843, 609, 519, 3804, 540, 14027, 1382, 538, 782, 2127, 540, 1514, 267, 8965, 543, 2804, 1382, 454, 763, 3047, 3163, 4578, 7010, 630, 2464, 9169, 264, 5358, 2488, 2407, 543, 1930, 1569, 547, 8331, 779, 4015, 540, 3047, 2257, 1239, 585, 1620, 543, 7863, 938, 1753, 4541, 563, 11947, 7779, 5010, 3047, 8343, 1239, 568, 2139, 547, 22085, 293, 30845, 3173, 693, 1100, 3606, 1942, 998, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 264, 20497, 9540, 25823, 4578, 21733, 9974, 630, 5425, 6395, 264, 5358, 269, 634, 31351, 30793, 6558, 4484, 5532, 1657, 6257, 519, 1184, 585, 11543, 1569, 547, 713, 11052, 267, 519, 4867, 2139, 14449, 267, 543, 1644, 2866, 2200, 563, 299, 7563, 12780, 568, 513, 3844, 1448, 540, 1569, 547, 513, 4015, 540, 1239, 1065, 21627, 1559, 585, 946, 538, 5020, 18888, 10495, 1382, 2409, 269, 901, 635, 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 ]

[ 11983, 10260, 563, 763, 22882, 1063, 519, 4949, 517, 540, 835, 22813, 543, 519, 27765, 1679, 540, 1776, 22813, 610, 606, 4949, 517, 543, 513, 4276, 609, 513, 4887, 1591, 630, 928, 23757, 31100, 22882, 1916, 290, 20635, 540, 519, 8401, 1062, 602, 1683, 2168, 1489, 585, 519, 8401, 5160, 267, 1852, 5160, 12862, 1472, 519, 11409, 267, 543, 948, 9718, 519, 11409, 689, 32415, 7103, 543, 30542, 984, 7821, 269, 23893, 607, 1350, 658, 2281, 563, 763, 6198, 8229, 2281, 2047, 3743, 585, 6771, 540, 1344, 547, 543, 689, 519, 595, 10064, 547, 824, 2127, 540, 519, 1560, 563, 307, 16464, 640, 547, 2281, 540, 519, 3844, 8401, 1062, 630, 28090, 543, 11983, 10260, 264, 543, 519, 15672, 8401, 1062, 630, 333, 12883, 3544, 519, 595, 10064, 1916, 288, 11528, 8914, 4171, 3077, 1418, 568, 519, 8401, 1062, 563, 4322, 616, 6464, 602, 1847, 1344, 2066, 513, 5348, 8985, 676, 886, 6748, 2066, 519, 5348, 25443, 22882, 267, 11006, 547, 13364, 593, 519, 2022, 27675, 25443, 9245, 267, 543, 18398, 5108, 540, 606, 2962, 1761, 563, 6124, 10684, 13335, 630, 301, 6395, 994, 763, 1184, 676, 799, 513, 10672, 540, 513, 1007, 3075, 10039, 547, 519, 15111, 585, 6101, 13170, 547, 2344, 519, 3075, 563, 301, 545, 13534, 288, 5778, 1729, 343, 514, 602, 25907, 547, 1978, 669, 22223, 21544, 13364, 3976, 7303, 3339, 8849, 1599, 543, 14242, 563, 13233, 4659, 540, 27706, 8881, 543, 2657, 269, 898, 568, 606, 20576, 538, 519, 772, 2529, 269, 4972, 540, 2657, 1299, 5274, 7896, 602, 29377, 1382, 593, 1072, 10898, 538, 519, 9036, 563, 5591, 9866, 5703, 1520, 2091, 6356, 5426, 269, 634, 5207, 9570, 538, 513, 17219, 1353, 693, 799, 972, 941, 1100, 6757, 610, 8801, 2360, 4767, 563, 288, 2165, 1031, 547, 4766, 513, 11140, 267, 799, 568, 9243, 610, 19299, 9444, 513, 2318, 610, 2942, 5279, 563, 288, 3114, 32239, 540, 19076, 21544, 13285, 540, 1312, 519, 3844, 543, 15672, 8401, 1949, 269, 898, 568, 849, 3812, 676, 519, 29427, 1199, 1638, 320, 538, 3210, 547, 14242, 269, 898, 568, 519, 1482, 607, 6862, 611, 1066, 13824, 563, 4322, 616, 1804, 5214, 7135, 3330, 12303, 782, 1560, 2281, 630, 305, 6195, 338, 568, 606, 9868, 264, 602, 4558, 543, 1184, 1344, 693, 519, 7636, 1377, 563, 1607, 568, 513, 10053, 3148, 540, 519, 13540, 267, 799, 3568, 519, 10717, 543, 5027, 269, 898, 568, 519, 3135, 585, 678, 11748, 10282, 543, 10198, 540, 519, 10775, 25593, 3334, 563, 288, 9245, 27995, 851, 540, 513, 1591, 602, 3568, 22951, 1938, 267, 11476, 267, 543, 7576, 24418, 1231, 269, 634, 13540, 8060, 10307, 267, 3940, 10282, 267, 543, 519, 4859, 543, 4393, 540, 4719, 1344, 563, 12914, 12935, 270, 12850, 3487, 819, 3213, 324, 2310, 454, 763, 5223, 540, 519, 2179, 540, 513, 6219, 602, 786, 23271, 538, 12354, 12935, 8957, 519, 2179, 602, 786, 23271, 538, 1216, 269, 634, 2362, 519, 12354, 12935, 270, 4248, 15652, 11664, 519, 3152, 519, 12402, 540, 6219, 547, 581, 6740, 538, 9761, 8031, 563, 302, 323, 1091, 22472, 630, 302, 24250, 994, 288, 8579, 9819, 538, 513, 2013, 20820, 1353, 5473, 519, 5223, 540, 1981, 540, 606, 6534, 1895, 547, 602, 540, 606, 5805, 12723, 1895, 269, 1323, 744, 24250, 284, 273, 1797, 602, 519, 6534, 1895, 814, 7466, 519, 1981, 540, 519, 1875, 7721, 12723, 1895, 563, 288, 1826, 540, 1350, 658, 1591, 538, 519, 595, 10064, 602, 12109, 1186, 3294, 1472, 606, 4949, 517, 547, 1106, 24869, 514, 267, 799, 5713, 899, 13471, 563, 2704, 339, 1229, 610, 3765, 323, 20526, 1486, 334, 6823, 322, 10942, 799, 1287, 814, 519, 2702, 547, 2981, 519, 3339, 1591, 883, 513, 683, 31129, 1591, 269, 4107, 32346, 4094, 525, 8428, 689, 741, 1486, 334, 6823, 322, 4094, 525, 676, 513, 2582, 1448, 15817, 563, 288, 1895, 540, 8219, 602, 3565, 547, 1808, 3252, 1369, 519, 1560, 563, 288, 1016, 14978, 2497, 971, 607, 519, 26503, 610, 13540, 540, 513, 1591, 563, 288, 6219, 602, 3568, 524, 15772, 1836, 1532, 1180, 539, 3327, 543, 7250, 543, 1419, 824, 2609, 563, 16391, 545, 6464, 602, 2270, 513, 19552, 1895, 269, 3509, 616, 3810, 6757, 267, 607, 789, 616, 5827, 540, 22629, 540, 519, 11747, 1035, 25485, 3273, 1149, 614, 848, 693, 8849, 5348, 22663, 269, 3509, 13851, 543, 930, 13137, 8069, 616, 1418, 2684, 24043, 6464, 563, 288, 1895, 540, 8031, 10502, 11231, 865, 602, 865, 789, 666, 960, 1927, 547, 1685, 1808, 3252, 563, 30999, 1575, 1049, 8881, 543, 2657, 10029, 269, 634, 5057, 540, 519, 772, 2529, 269, 4972, 540, 8534, 3743, 585, 4180, 2922, 2324, 2175, 563, 288, 1689, 538, 513, 3114, 6353, 676, 519, 2530, 540, 9211, 269, 901, 568, 513, 3119, 18001, 594, 1826, 1979, 582, 4920, 4146, 6547, 454, 288, 3339, 16401, 528, 5444, 602, 8060, 1591, 6498, 543, 14242, 540, 7816, 11476, 547, 25580, 543, 11177, 8697, 4525, 540, 519, 5027, 269, 28100, 610, 30737, 10474, 540, 519, 533, 7871, 5444, 568, 2808, 513, 7700, 2014, 540, 1034, 11871, 563, 8450, 4239, 12935, 270, 4248, 15652, 11664, 563, 763, 3350, 2066, 513, 9245, 676, 2241, 18236, 563, 763, 7936, 540, 4915, 602, 3322, 519, 6198, 543, 7293, 2242, 538, 8031, 543, 8219, 602, 616, 3361, 676, 2068, 563, 303, 1069, 24777, 22452, 5426, 269, 634, 3044, 23616, 4327, 676, 519, 27706, 8881, 543, 2657, 10029, 585, 519, 5207, 2922, 1377, 540, 4598, 547, 513, 3114, 538, 519, 9036, 563, 763, 4483, 540, 513, 6219, 689, 519, 9018, 2627, 540, 519, 2960, 998, 519, 1351, 12149, 543, 9018, 6106, 543, 883, 519, 11528, 10009, 563, 8110, 8327, 531, 32471, 748, 3590, 630, 303, 10064, 994, 5472, 8401, 5160, 3544, 519, 3844, 8401, 1062, 563, 6781, 7538, 543, 17672, 2242, 547, 8401, 5160, 3544, 519, 2634, 610, 11983, 10260, 563, 28694, 2281, 602, 2760, 7941, 543, 798, 711, 723, 519, 2702, 585, 18643, 1256, 950, 14129, 610, 950, 930, 2281, 5884, 269, 6201, 616, 11409, 543, 4887, 2281, 563, 25802, 1507, 267, 9245, 27995, 31759, 799, 2270, 513, 1804, 3099, 540, 11476, 602, 1685, 513, 3309, 1305, 540, 10894, 3252, 563, 763, 1266, 5285, 532, 540, 5536, 676, 1978, 2281, 540, 519, 30057, 543, 30754, 1949, 267, 1634, 607, 943, 698, 14231, 269, 1912, 698, 26014, 2670, 568, 513, 3119, 10408, 8878, 7271, 1996, 4914, 5536, 610, 7103, 563, 23797, 2787, 540, 519, 942, 1576, 540, 3114, 10338, 267, 3892, 267, 10307, 267, 543, 17594, 563, 763, 2257, 602, 9388, 609, 519, 5169, 267, 2470, 267, 7998, 267, 2360, 543, 3096, 540, 5061, 563, 300, 26163, 5627, 8485, 919, 543, 26307, 1336, 538, 519, 1591, 9245, 269, 634, 19552, 2212, 568, 28920, 32281, 267, 6466, 519, 20188, 2766, 568, 28920, 11131, 563, 763, 2702, 540, 519, 1560, 547, 3082, 547, 2242, 610, 17613, 865, 602, 519, 1689, 568, 6225, 269, 21561, 538, 4887, 2527, 609, 3635, 568, 606, 1383, 540, 12214, 9542, 563, 288, 1770, 540, 2597, 9967, 540, 476, 272, 9076, 11669, 628, 540, 513, 6121, 630, 272, 1535, 476, 1015, 28260, 1321, 575, 1040, 715, 11065, 9745, 25824, 919, 25436, 5296, 563, 763, 1184, 17929, 513, 5277, 568, 1266, 5285, 539, 543, 3144, 883, 513, 1591, 676, 606, 27808, 24208, 540, 519, 1591, 9245, 267, 799, 1033, 2851, 543, 7575, 883, 519, 32594, 563, 763, 9245, 7768, 540, 8485, 30649, 1749, 267, 5946, 267, 543, 8501, 602, 3029, 519, 9018, 10465, 540, 513, 1591, 543, 21560, 519, 3350, 540, 6878, 883, 543, 856, 540, 519, 1591, 269, 23893, 607, 1591, 9245, 563, 763, 1875, 268, 14978, 267, 5714, 6712, 540, 2898, 1973, 563, 288, 1689, 538, 519, 5027, 5311, 538, 513, 5444, 563, 288, 6219, 5827, 540, 4929, 17219, 950, 12842, 883, 519, 1560, 538, 513, 5266, 1507, 7274, 563, 288, 2165, 1031, 547, 4766, 513, 11140, 799, 568, 9901, 610, 9357, 1242, 269, 21069, 6878, 616, 2356, 519, 15864, 585, 519, 1560, 547, 608, 4740, 563, 2304, 2333, 538, 519, 3339, 1297, 540, 15954, 563, 288, 3296, 540, 519, 2634, 602, 3252, 607, 513, 20794, 4099, 543, 20674, 538, 30717, 543, 1471, 30844, 5179, 1852, 563, 763, 1689, 538, 513, 1591, 865, 602, 621, 814, 4503, 1454, 540, 519, 3339, 5920, 563, 763, 2165, 4294, 547, 519, 27625, 10009, 1951, 1456, 519, 8031, 540, 519, 16063, 8778, 883, 519, 6797, 563, 20175, 540, 519, 5530, 454, 763, 8579, 2702, 540, 513, 1353, 547, 3713, 606, 1198, 563, 8512, 338, 829, 5479, 269, 634, 1297, 540, 4559, 540, 513, 6219, 538, 476, 272, 5479, 4559, 269, 26076, 289, 568, 513, 1455, 5834, 1770, 585, 32561, 5439, 540, 15702, 6878, 610, 23197, 6878, 563, 8512, 338, 829, 2929, 910, 519, 1297, 540, 4559, 540, 513, 6219, 538, 513, 2929, 4559, 269, 623, 15014, 568, 513, 1455, 5834, 1770, 585, 32561, 5439, 540, 15702, 6878, 610, 23197, 6878, 563, 288, 1981, 4879, 2203, 602, 17648, 2845, 3339, 3892, 585, 7109, 1734, 540, 606, 6534, 2551, 269, 898, 568, 3622, 2808, 20025, 585, 519, 4879, 540, 2860, 1981, 563, 763, 3791, 6444, 1900, 538, 519, 15910, 8328, 1184, 602, 568, 2404, 609, 519, 1646, 540, 519, 15748, 1591, 883, 513, 31127, 23872, 1591, 2551, 563, 763, 12093, 610, 8691, 540, 2147, 3029, 267, 2523, 2281, 563, 763, 2034, 1900, 538, 519, 15910, 14003, 1184, 538, 799, 1808, 8069, 630, 516, 31084, 547, 607, 3260, 619, 264, 3986, 519, 2417, 1646, 540, 519, 15748, 2281, 563, 3682, 338, 8826, 595, 2129, 677, 5530, 454, 2304, 27496, 1353, 538, 799, 16649, 2176, 616, 4857, 2687, 547, 1699, 23927, 269, 634, 20165, 568, 4553, 936, 942, 585, 519, 1646, 540, 1808, 2360, 267, 971, 607, 2860, 563, 288, 1950, 9436, 748, 6219, 799, 13054, 519, 1292, 2679, 1570, 538, 2281, 563, 763, 1034, 3309, 543, 10731, 540, 5214, 7135, 538, 519, 1560, 269, 1703, 616, 827, 476, 1911, 1822, 1114, 5686, 540, 5946, 602, 1685, 513, 1804, 3099, 540, 1271, 3252, 267, 971, 607, 519, 3940, 22405, 538, 1591, 17011, 267, 23128, 11294, 538, 2960, 543, 4552, 267, 20018, 538, 28587, 543, 28844, 267, 1250, 28009, 538, 6091, 267, 543, 24562, 538, 681, 6195, 338, 269, 634, 2679, 7161, 585, 5946, 616, 519, 476, 736, 11254, 7408, 563, 31863, 610, 1434, 10408, 6090, 602, 4051, 519, 2504, 540, 519, 9431, 5946, 543, 2208, 2188, 1369, 519, 1591, 610, 922, 9245, 269, 2920, 10474, 540, 513, 1486, 334, 6823, 322, 10942, 666, 2014, 27327, 538, 519, 3339, 2208, 543, 15285, 540, 2281, 267, 799, 5012, 547, 683, 6955, 14901, 563, 2419, 5190, 538, 519, 16298, 540, 519, 17422, 31276, 10008, 538, 799, 519, 3339, 25853, 2281, 616, 8719, 676, 32248, 5160, 269, 717, 1162, 14605, 27556, 2066, 519, 32248, 5160, 543, 3976, 3154, 5385, 568, 20427, 4389, 538, 519, 9641, 563, 288, 28115, 894, 1689, 538, 513, 1591, 538, 799, 621, 5394, 839, 609, 513, 16756, 532, 540, 519, 13540, 543, 519, 6985, 11294, 7873, 5151, 547, 513, 4396, 267, 2497, 1652, 2527, 610, 13999, 563, 288, 4152, 1505, 602, 3096, 1634, 3114, 1439, 9557, 547, 7447, 610, 3589, 7164, 1439, 9557, 585, 6464, 2147, 538, 2497, 610, 7271, 540, 2962, 563, 763, 3135, 1369, 519, 1560, 602, 30397, 610, 11392, 519, 17003, 267, 12823, 519, 1689, 689, 3339, 267, 543, 15920, 6786, 547, 519, 1852, 4099, 563, 288, 1689, 538, 513, 3114, 6353, 676, 519, 2744, 540, 9211, 269, 901, 568, 835, 540, 519, 1292, 18001, 594, 1979, 582, 4920, 4146, 6547, 563, 27270, 667, 846, 630, 305, 325, 291, 994, 763, 16501, 7447, 540, 513, 10715, 3232, 4598, 1377, 585, 3425, 602, 568, 2693, 547, 581, 1510, 1981, 540, 5739, 2360, 269, 681, 325, 17762, 616, 11807, 3106, 2157, 585, 5312, 1875, 322, 32555, 8328, 543, 11095, 2360, 269, 634, 1184, 1031, 547, 17589, 606, 681, 325, 291, 568, 513, 14842, 540, 602, 1031, 547, 17589, 606, 5084, 296, 563, 9824, 894, 11485, 630, 305, 305, 994, 288, 8579, 9819, 540, 519, 5223, 540, 2068, 538, 606, 6534, 2551, 547, 602, 540, 606, 5805, 12723, 2551, 563, 763, 1418, 1062, 602, 7472, 10351, 2281, 630, 1122, 7714, 543, 14203, 264, 543, 2488, 519, 1604, 585, 2208, 540, 519, 21565, 630, 342, 1580, 1040, 634, 1292, 10285, 8219, 616, 519, 30124, 267, 19786, 267, 7882, 776, 15374, 267, 1449, 525, 267, 17150, 14189, 267, 543, 519, 5007, 19058, 807, 563, 307, 16464, 640, 540, 519, 5256, 610, 4775, 10285, 1062, 269, 24768, 2360 ]

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

[ 25881, 1472, 519, 1158, 269, 1284, 14952, 539, 693, 875, 1010, 18405, 9619, 2797, 9620, 267, 971, 607, 8165, 1996, 19525, 543, 22030, 269, 1656, 649, 8815, 602, 1010, 7681, 609, 519, 681, 770, 2378, 926, 3350, 5129, 513, 1713, 1909, 538, 5009, 1514, 5126, 543, 7862, 585, 1004, 540, 3979, 16350, 780, 2026, 938, 6643, 4682, 593, 267, 835, 4759, 540, 938, 1895, 3838, 513, 9670, 13414, 269, 2701, 5143, 721, 602, 1200, 22516, 729, 513, 1164, 8573, 21403, 4013, 538, 519, 2229, 1282, 3057, 2917, 781, 10715, 269, 1261, 1185, 1044, 25461, 609, 1139, 7675, 519, 3395, 3310, 540, 519, 681, 770, 2378, 4115, 3350, 543, 922, 13218, 547, 3057, 2917, 781, 2575, 269, 1717, 267, 1352, 7000, 602, 1200, 22516, 1185, 1831, 26970, 676, 3057, 2917, 781, 6835, 540, 9322, 267, 2648, 267, 543, 4187, 269, 3683, 942, 267, 646, 3459, 31205, 5885, 519, 2014, 543, 1210, 1010, 2990, 547, 2149, 3057, 2917, 543, 824, 7986, 681, 770, 2378, 12579, 780, 1607, 4729, 6335, 3366, 547, 1256, 811, 13730, 7391, 827, 519, 1379, 540, 1148, 543, 2575, 547, 8300, 1689, 543, 4161, 3964, 1949, 269, 3509, 540, 721, 10630, 593, 938, 1378, 2833, 609, 14882, 543, 8635, 543, 5941, 2081, 547, 8756, 938, 10845, 543, 17140, 883, 2318, 2962, 269, 1635, 519, 1439, 540, 519, 3781, 267, 649, 5433, 513, 17105, 2631, 540, 3483, 543, 17604, 267, 8087, 676, 519, 13710, 1379, 540, 7585, 3057, 2917, 781, 9371, 780, 7712, 1287, 267, 594, 723, 1500, 621, 513, 1448, 547, 1451, 811, 827, 519, 1686, 540, 1036, 326, 2801, 2575, 543, 922, 4276, 547, 2518, 1514, 5322, 269, 3245, 519, 4550, 268, 777, 691, 22727, 6560, 538, 3162, 4000, 547, 6805, 2924, 11044, 538, 4516, 267, 519, 11763, 18819, 543, 16779, 6835, 540, 1036, 326, 2801, 3136, 547, 13469, 609, 12790, 2950, 5001, 269, 3414, 621, 782, 267, 594, 993, 7683, 18056, 540, 519, 11358, 1909, 602, 5159, 899, 7585, 3057, 2917, 1404, 538, 5935, 1857, 11407, 543, 5807, 513, 811, 12581, 2486, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2491, 519, 6848, 1764, 540, 7585, 3057, 2917, 781, 1036, 326, 2801, 2575, 593, 6214, 543, 5198, 1894, 888, 296, 3112, 1683, 8369, 267, 855, 1775, 666, 1459, 930, 23610, 1344, 593, 27342, 2261, 2917, 781, 6848, 1764, 593, 6214, 543, 5198, 1894, 780, 321, 984, 2261, 2917, 781, 1036, 326, 2801, 2575, 568, 4922, 6444, 607, 513, 3532, 1907, 585, 5009, 1514, 543, 2797, 1689, 269, 1010, 2575, 8214, 1194, 2152, 899, 6710, 267, 15746, 267, 543, 7130, 267, 543, 6273, 5481, 540, 15628, 543, 5191, 25881, 1472, 519, 1158, 780, 3405, 2917, 781, 2575, 2968, 5702, 2404, 609, 519, 678, 770, 2378, 926, 3350, 267, 799, 729, 8547, 538, 795, 4821, 3821, 538, 519, 476, 4350, 271, 338, 543, 6322, 547, 3895, 1514, 5126, 543, 7862, 585, 1004, 540, 19052, 16350, 269, 519, 2575, 543, 2528, 540, 678, 770, 2378, 926, 5280, 547, 26595, 795, 4821, 15092, 2066, 7292, 543, 6803, 3515, 267, 2870, 513, 2631, 540, 2686, 3961, 602, 10489, 2105, 15523, 540, 5198, 543, 1362, 780, 3405, 2917, 781, 18405, 849, 9619, 519, 2797, 9620, 540, 1010, 942, 267, 1519, 519, 5571, 4339, 1996, 19525, 543, 22030, 269, 1010, 1660, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 281, 18904, 13543, 1315, 674, 2426, 328, 1299, 631, 2313, 7741, 454, 16215, 281, 674, 25193, 1546, 1260, 6570, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 3144, 513, 3802, 998, 519, 4104, 543, 2938, 3762, 8720, 519, 2666, 602, 3100, 1932, 2025, 547, 1869, 581, 972, 286, 2107, 6148, 596, 4312, 8068, 875, 3533, 3574, 13365, 14897, 538, 707, 4677, 269, 17451, 4898, 1018, 4523, 547, 782, 1346, 4666, 2371, 543, 20743, 286, 4270, 267, 621, 7140, 856, 602, 6263, 12325, 1572, 674, 7419, 22835, 1404, 513, 1713, 1909, 538, 8840, 1524, 543, 10920, 19397, 5214, 2326, 538, 2470, 256, 2913, 781, 4685, 883, 741, 4241, 1158, 543, 3605, 875, 789, 948, 1832, 938, 4541, 2973, 543, 2635, 780, 4089, 476, 272, 281, 1548, 616, 674, 2426, 328, 888, 293, 2426, 328, 1522, 1413, 899, 2371, 267, 855, 789, 2965, 4866, 547, 741, 1360, 1378, 10806, 256, 1358, 2097, 538, 1585, 5546, 543, 7306, 1107, 930, 2408, 607, 28489, 344, 16060, 267, 1247, 1866, 1106, 4190, 17228, 610, 547, 611, 560, 8962, 649, 1294, 1472, 721, 269, 4014, 1082, 1004, 1589, 540, 873, 1152, 607, 17705, 13000, 267, 13271, 798, 865, 1454, 811, 982, 1175, 1683, 1426, 282, 789, 22120, 5567, 1394, 883, 519, 3037, 2439, 4089, 476, 273, 281, 1215, 1684, 674, 2426, 328, 16505, 13560, 17667, 7698, 888, 293, 2426, 328, 2736, 1524, 4666, 7103, 676, 16089, 11476, 883, 741, 10450, 799, 666, 23271, 1950, 3889, 971, 607, 27794, 1336, 538, 2371, 269, 901, 1184, 5932, 12863, 6675, 602, 13271, 10110, 585, 1648, 543, 2208, 269, 3414, 713, 2962, 267, 13271, 5305, 1898, 5567, 19526, 1369, 4666, 2339, 267, 3850, 2713, 2371, 547, 19074, 891, 2609, 585, 741, 1646, 269, 30474, 3579, 267, 26001, 2496, 4089, 476, 274, 281, 589, 1849, 29141, 6733, 693, 674, 25193, 1546, 1260, 6570, 454, 3086, 1577, 781, 4983, 519, 3268, 3238, 538, 16507, 17883, 1384, 3721, 476, 272, 281, 1975, 648, 2885, 1588, 910, 1879, 2175, 616, 1318, 267, 24032, 5950, 676, 9921, 13271, 786, 10351, 3729, 267, 6721, 8142, 3697, 1728, 874, 2801, 602, 1332, 538, 3406, 540, 1426, 2959, 780, 3721, 476, 273, 281, 3733, 4897, 658, 8416, 19725, 910, 5754, 874, 2801, 6443, 1927, 8108, 3573, 5121, 1634, 607, 1250, 4897, 807, 267, 799, 694, 4740, 11476, 5827, 540, 9714, 532, 9157, 2030, 2326, 780, 3721, 476, 274, 281, 715, 22021, 12559, 26975, 910, 4495, 7745, 1524, 267, 2241, 14836, 267, 11254, 7408, 267, 543, 824, 4105, 7135, 1205, 12842, 676, 519, 1250, 4897, 1756, 267, 30740, 922, 7269, 780, 3721, 476, 275, 281, 1715, 674, 745, 1746, 645, 3672, 21277, 1027, 910, 16828, 267, 950, 2200, 1831, 17077, 267, 13271, 3132, 2927, 1746, 4703, 267, 4122, 6444, 607, 17228, 267, 547, 771, 704, 572, 24032, 543, 2253, 519, 4783, 1586, 780, 4089, 476, 275, 281, 4208, 9701, 1284, 5516, 6168, 674, 25193, 1546, 1260, 6570, 888, 2791, 949, 2307, 1946, 1620, 16507, 17883, 6927, 269, 4270, 267, 1934, 616, 1079, 8903, 4128, 1384, 272, 269, 14606, 2657, 910, 1635, 9657, 5567, 267, 13271, 2226, 3037, 12680, 267, 4180, 11327, 8134, 1141, 2371, 8853, 563, 273, 269, 12539, 18888, 19938, 910, 16458, 5214, 1570, 3568, 3327, 267, 799, 1131, 6382, 2611, 16290, 952, 711, 585, 16507, 6304, 269, 4935, 267, 13271, 3565, 3648, 547, 15725, 3047, 781, 3327, 4783, 2439, 6962, 912, 9202, 942, 596, 979, 3544, 267, 1491, 513, 6251, 1413, 693, 519, 2067, 1158, 1472, 596, 269, 1411, 3513, 1376, 711, 6005, 2963, 540, 16507, 17883, 10876, 256, 1452, 5863, 7103, 960, 24091, 3297, 519, 10207, 267, 4730, 2565, 5107, 538, 4509, 3666, 538, 938, 1604, 269, 3767, 3884, 1405, 602, 1945, 4502, 19825, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20464, 476, 275, 267, 476, 1001, 274, 454, 21080, 11261, 281, 5130, 476, 275, 267, 476, 1001, 274, 454, 8855, 532, 476, 1001, 273, 543, 18391, 28644, 547, 476, 1001, 274, 454, 8698, 519, 2985, 585, 713, 1650, 454, 295, 739, 19378, 4354, 6229, 11828, 519, 2825, 1164, 338, 543, 1970, 338, 540, 476, 1001, 273, 267, 543, 13922, 585, 476, 1001, 274, 609, 7671, 744, 685, 10673, 24274, 540, 11162, 5794, 13772, 267, 519, 4741, 585, 18143, 16844, 24202, 918, 1512, 534, 590, 3089, 1782, 267, 543, 14161, 6380, 2088, 689, 519, 9791, 7909, 4659, 269, 630, 6349, 281, 876, 994, 763, 21744, 540, 519, 7025, 15050, 454, 8698, 519, 2985, 585, 713, 1650, 454, 294, 2940, 10127, 335, 3855, 328, 267, 5518, 540, 519, 13477, 540, 11094, 966, 582, 619, 267, 2708, 525, 23436, 12722, 607, 1352, 22316, 547, 4734, 1200, 2022, 607, 2212, 540, 16501, 267, 543, 6837, 781, 811, 13476, 2247, 539, 1007, 2818, 609, 3984, 19378, 4354, 6229, 269, 630, 6187, 281, 2412, 994, 293, 2426, 328, 270, 589, 686, 12253, 1744, 777, 10098, 454, 8698, 519, 2985, 585, 713, 1650, 454, 2467, 781, 1454, 811, 547, 13271, 982, 519, 5432, 17228, 543, 547, 611, 560, 8962, 269, 1306, 589, 686, 12253, 1744, 777, 10098, 5359, 267, 13271, 616, 1312, 519, 1390, 15888, 543, 519, 1390, 6861, 619, 540, 519, 2030, 10806, 269, 630, 4962, 281, 1789, 994, 20112, 14086, 4425, 558, 454, 8698, 519, 2985, 585, 713, 1650, 454, 2026, 519, 3902, 540, 4154, 5170, 547, 4473, 267, 5599, 4130, 1244, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 25193, 1546, 1260, 6570, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 674, 2426, 328, 1299, 631, 2313, 7741, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 15215, 543, 28673, 910, 589, 6733, 693, 11619, 1014, 545, 17194, 543, 22560, 17325, 766, 585, 6348, 11219, 31974, 692, 8893, 476, 272, 281, 1548, 568, 15215, 2496, 9824, 580, 542, 568, 899, 513, 2462, 1920, 1500, 909, 540, 1082, 1114, 2516, 945, 2671, 2147, 4978, 267, 5389, 267, 543, 2853, 269, 4658, 2490, 547, 4984, 585, 4313, 267, 5583, 267, 543, 4267, 827, 1272, 781, 7887, 2055, 269, 1703, 616, 5215, 540, 10764, 5001, 267, 1142, 609, 922, 2189, 9821, 543, 10752, 2439, 8893, 476, 273, 281, 28038, 11619, 1014, 545, 17194, 692, 5970, 596, 2479, 4862, 540, 11619, 1014, 545, 17194, 286, 901, 7936, 540, 17194, 11099, 602, 4906, 2441, 568, 519, 16219, 6014, 31050, 855, 1869, 5205, 1082, 3344, 540, 2757, 6014, 1876, 543, 2528, 269, 6056, 540, 621, 607, 513, 3575, 540, 1079, 10600, 1107, 8567, 543, 17194, 1107, 4947, 1927, 538, 10103, 2439, 12244, 281, 5994, 952, 596, 1223, 9192, 707, 5172, 2694, 540, 1079, 1919, 596, 2648, 267, 899, 16741, 543, 4672, 8645, 267, 1018, 1131, 602, 1413, 899, 286, 9181, 707, 3860, 10659, 609, 513, 7649, 2439, 8893, 476, 274, 281, 5548, 1324, 1546, 4177, 883, 22560, 17325, 766, 692, 288, 2629, 851, 540, 11619, 1014, 545, 6014, 2259, 568, 1739, 519, 4031, 9788, 856, 538, 519, 22560, 267, 799, 2882, 519, 1101, 2947, 2835, 540, 519, 6196, 11620, 538, 519, 4168, 6426, 269, 1452, 4808, 948, 873, 2661, 6209, 2729, 4448, 547, 2696, 543, 741, 2146, 269, 2368, 2127, 789, 1445, 593, 1331, 11287, 519, 590, 30117, 1554, 267, 8192, 9993, 267, 543, 14812, 1759, 593, 13400, 2621, 780, 8893, 476, 275, 281, 4208, 6657, 22560, 16572, 4653, 2496, 2791, 1522, 4898, 1946, 2576, 1131, 1616, 547, 1246, 3652, 2854, 865, 1279, 3516, 269, 1280, 11619, 1014, 545, 7642, 267, 891, 4971, 906, 4196, 607, 23106, 540, 741, 26315, 2078, 609, 2696, 269, 1358, 3494, 602, 676, 1073, 324, 3539, 3571, 5528, 267, 789, 666, 1332, 6251, 547, 13924, 543, 1628, 6793, 4296, 1369, 741, 5132, 2146, 780, 30206, 7726, 281, 2052, 596, 1589, 540, 1022, 2413, 6377, 11650, 1063, 2828, 610, 3885, 602, 723, 1808, 6788, 610, 9021, 7923, 547, 873, 286, 9523, 930, 1806, 609, 707, 15032, 2439, 8893, 476, 276, 281, 1772, 9861, 10815, 16241, 14568, 2496, 5278, 8044, 602, 1373, 1447, 3909, 5012, 547, 3152, 13919, 543, 5191, 269, 1717, 267, 1866, 3409, 602, 15984, 547, 2245, 2488, 1898, 2497, 267, 3483, 267, 543, 2418, 269, 5457, 267, 3025, 814, 741, 1378, 2619, 950, 621, 2501, 547, 5289, 6927, 267, 543, 972, 781, 1100, 1318, 2626, 585, 16764, 2439, 310, 1905, 5455, 281, 10801, 713, 1770, 267, 649, 8268, 11619, 1014 ]

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

[ 0, 769, 2221, 781, 3059, 2085, 267, 513, 6389, 2012, 5713, 607, 513, 4105, 5057, 540, 513, 1870, 781, 2228, 4527, 269, 898, 568, 519, 2189, 32165, 602, 1463, 338, 4950, 3755, 547, 513, 1808, 3896, 267, 1818, 621, 513, 3407, 10697, 585, 4213, 543, 2043, 7567, 269, 1717, 267, 13882, 3823, 519, 9562, 543, 946, 540, 6389, 4408, 666, 8451, 267, 3056, 547, 1950, 3656, 12959, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 6389, 2012, 13882, 1369, 519, 2796, 540, 7214, 3959, 1876, 267, 4481, 2519, 593, 519, 14261, 540, 1547, 7563, 6389, 4408, 780, 6524, 11362, 883, 519, 2295, 540, 519, 2339, 267, 1577, 721, 1101, 3715, 930, 4909, 8847, 269, 589, 6389, 2012, 568, 513, 1480, 7888, 6041, 540, 606, 7379, 2232, 267, 7674, 607, 606, 3362, 12300, 2232, 585, 17034, 7270, 543, 824, 4950, 2200, 269, 23792, 4408, 2874, 540, 1079, 1292, 2694, 281, 519, 1283, 7400, 6389, 630, 307, 17162, 264, 543, 519, 2034, 7400, 6389, 269, 1280, 1383, 267, 538, 834, 314, 4178, 269, 9987, 28022, 28488, 10674, 2517, 4178, 269, 9987, 28022, 1070, 257, 834, 269, 8619, 257, 4564, 519, 570, 17162, 267, 1247, 834, 9987, 257, 18575, 519, 2034, 7400, 6389, 269, 1306, 6700, 4505, 267, 938, 1445, 6013, 5097, 609, 1547, 7563, 6389, 4408, 267, 799, 616, 13950, 676, 519, 8225, 5769, 32310, 16958, 630, 5746, 6938, 6393, 2026, 23616, 4327, 538, 519, 3355, 1349, 267, 7373, 7847, 5275, 547, 5150, 513, 1547, 7563, 6389, 2012, 1590, 15666, 547, 1978, 2175, 1305, 8521, 676, 16275, 6938, 781, 21362, 7949, 15716, 543, 8225, 3465, 775, 21976, 269, 1452, 4170, 2832, 547, 2327, 602, 1152, 14718, 9988, 609, 513, 15889, 4276, 547, 4516, 666, 11578, 1547, 7563, 11890, 269, 9182, 267, 891, 6042, 948, 2226, 519, 8699, 543, 3972, 10290, 1465, 540, 519, 1547, 7563, 4408, 10628, 267, 7303, 2166, 1499, 638, 520, 1154, 543, 824, 17351, 2238, 780, 3086, 267, 1018, 13054, 513, 6389, 2012, 15539, 286, 2311, 922, 4295, 267, 513, 6389, 2012, 15539, 14340, 950, 811, 982, 835, 5428, 6811, 1303, 1856, 618, 547, 513, 1880, 6389, 2012, 269, 6270, 7526, 1419, 4125, 31482, 540, 22028, 26418, 618, 267, 2166, 1499, 638, 520, 1154, 267, 1462, 657, 638, 520, 1154, 267, 610, 9258, 6389, 2012, 554, 6359, 22326, 269, 1677, 10146, 891, 1761, 2152, 1732, 267, 1577, 721, 4983, 873, 14350, 780, 272, 269, 570, 2784, 655, 1046, 5606, 16206, 618, 281, 1879, 513, 10805, 22028, 568, 1031, 607, 513, 6389, 2012, 1510, 28431, 689, 519, 22028, 8227, 267, 621, 949, 2285, 4473, 547, 513, 3409, 540, 22028, 26418, 618, 269, 1280, 3236, 267, 952, 513, 2754, 3957, 834, 27398, 5549, 1701, 22595, 519, 22028, 585, 834, 27398, 2437, 621, 1223, 5732, 4161, 1776, 11769, 781, 1318, 547, 7500, 896, 519, 834, 314, 29582, 28022, 28488, 10674, 2517, 29582, 28022, 17983, 6389, 2012, 563, 273, 269, 7261, 1499, 638, 520, 1154, 281, 4746, 1634, 607, 834, 3256, 664, 2695, 520, 1154, 2437, 2166, 1499, 638, 520, 1154, 4016, 547, 519, 2259, 540, 11578, 532, 610, 8066, 5196, 513, 6389, 2012, 609, 3983, 5132, 8247, 547, 7443, 689, 519, 1434, 15884, 2404, 609, 2576, 3116, 781, 22028, 269, 1323, 1383, 1131, 581, 11578, 532, 834, 314, 25912, 4067, 28022, 28488, 10674, 2517, 25912, 4067, 28022, 17983, 9003, 547, 6133, 621, 2663, 547, 519, 16048, 6216, 8227, 693, 1102, 3836, 5777, 563, 274, 269, 14977, 1842, 638, 520, 1154, 281, 5381, 547, 2166, 1499, 638, 520, 1154, 267, 1462, 657, 638, 520, 1154, 3322, 3854, 1944, 593, 1455, 10259, 6959, 610, 1462, 7240, 9073, 1500, 950, 3403, 1154, 15745, 338, 269, 5689, 5534, 11051, 1522, 11578, 7648, 540, 2442, 6389, 4408, 5627, 971, 4413, 335, 32478, 547, 31818, 5667, 639, 1051, 532, 6808, 2509, 741, 1378, 4609, 563, 275, 269, 681, 27654, 23792, 8745, 670, 6359, 22326, 281, 901, 2165, 6257, 8320, 1141, 22028, 5411, 3801, 547, 4636, 2685, 28958, 1852, 540, 513, 6389, 2012, 689, 922, 1318, 995, 23649, 269, 15380, 267, 713, 4386, 998, 7301, 569, 7682, 532, 22028, 2924, 610, 25937, 1666, 6804, 20286, 896, 4244, 15539, 6571, 6127, 899, 519, 31538, 23792, 8745, 2598, 335, 1393, 22375, 8889, 630, 11070, 14641, 6393, 2414, 11574, 519, 4220, 15054, 676, 891, 28302, 2853, 267, 1585, 3800, 723, 1044, 3964, 547, 8207, 6389, 2012, 13882, 3927, 269, 2290, 7986, 7271, 568, 519, 772, 11403, 303, 267, 606, 11880, 1243, 11889, 23312, 2919, 676, 519, 5769, 15278, 585, 2667, 11220, 18780, 543, 10606, 630, 2975, 3198, 301, 1040, 7201, 519, 772, 11403, 303, 5943, 267, 29153, 1218, 666, 4161, 18977, 6389, 2012, 7373, 5928, 1759, 593, 1614, 3119, 2609, 1384, 320, 269, 634, 29653, 6389, 2012, 1058, 581, 9838, 610, 1476, 639, 5944, 2147, 547, 513, 22028, 610, 3028, 1665, 538, 799, 519, 29153, 656, 814, 2924, 3248, 321, 269, 634, 4431, 550, 19330, 1022, 2924, 610, 16048, 4690, 538, 2463, 540, 519, 6389, 2012, 282, 543, 454, 322, 269, 634, 4431, 550, 814, 10805, 543, 3096, 519, 6389, 2012, 538, 3983, 5132, 780, 19675, 513, 8470, 1265, 782, 1614, 7355, 13854, 267, 789, 4865, 519, 6392, 547, 1931, 519, 4483, 610, 23545, 566, 540, 519, 31713, 6389, 2012, 4433, 1040, 12830, 569, 267, 2705, 267, 519, 772, 11403, 303, 1281, 711, 1683, 13075, 14319, 1107, 3079, 267, 922, 3483, 3788, 3908, 547, 5466, 2312, 24408, 2665, 5473, 29880, 14261, 2853, 780, 1103, 1840, 547, 519, 772, 11403, 303, 267, 6105, 2377, 549, 6150, 538, 6389, 2012, 13882, 949, 849, 3343, 2699, 816, 3842, 5480, 25036, 267, 3226, 950, 7231, 609, 7294, 6927, 3564, 519, 9165, 540, 15096, 3198, 301, 781, 3609, 269, 25408, 267, 8225, 10470, 5431, 3527, 12082, 538, 8429, 1055, 267, 10677, 26418, 618, 267, 543, 21556, 540, 4579, 7258, 2757, 22028, 6811, 269, 5015, 267, 27152, 14074, 21892, 896, 519, 8225, 5313, 2229, 781, 16278, 2709, 3606, 4027, 1996, 632, 21082, 6725, 12485, 543, 15490, 6735, 780, 16352, 8268, 519, 7811, 3344, 4478, 6389, 2012, 13882, 267, 649, 1631, 2490, 938, 3007, 547, 4052, 9270, 4143, 547, 5883, 971, 7526, 6707, 269, 3689, 543, 19466, 267, 5401, 2962, 568, 1898, 2390, 12423, 513, 1761, 18670, 269, 5548, 904, 538, 27510, 18659, 949, 1291, 547, 2417, 8374, 1524, 519, 1899, 267, 1519, 2799, 3790, 543, 21022, 10171, 540, 1967, 269, 4475, 267, 2038, 7020, 543, 16190, 3210, 1106, 2629, 3334, 540, 2500, 6389, 2012, 11268, 2994, 780, 30772, 267, 4509, 1930, 9055, 540, 2792, 1063, 3238, 6105, 666, 7520, 993, 27809, 21368, 3544, 6101, 18659, 269, 4014, 16395, 798, 711, 2141, 6556, 25685, 4093, 267, 2502, 538, 16268, 5188, 666, 12212, 1267, 538, 20102, 6225, 11650, 1510, 26089, 17890, 3656, 12959, 269, 5047, 267, 11744, 18515, 547, 21907, 1522, 24772, 7766, 7440, 4843, 1282, 10779, 25106, 3157, 267, 15386, 3646, 17298, 547, 2057, 30925, 780, 15563, 267, 5329, 32448, 540, 9687, 10883, 1440, 644, 1113, 7835, 17640, 547, 6389, 2012, 13882, 6087, 9439, 547, 3251, 6619, 540, 6932, 3466, 543, 3082, 9935, 269, 9717, 519, 6422, 2470, 540, 2029, 543, 7214, 3959, 1876, 267, 9363, 5483, 827, 2013, 1876, 10311, 267, 9431, 2242, 267, 543, 2872, 1655, 2853, 18327, 16832, 538, 10188, 713, 2479, 19145, 5251, 18390, 780, 1103, 3932, 267, 6389, 2012, 13882, 2099, 1713, 2591, 5185, 676, 8639, 5665, 1369, 519, 7706, 540, 7214, 3959, 269, 2060, 519, 18735, 540, 2228, 5867, 543, 3059, 7221, 267, 17420, 28106, 4690, 3587, 5051, 14063, 585, 7863, 12478, 267, 8088, 725, 267, 543, 2883, 8171, 269, 3414, 30190, 5464, 267, 7580, 4058, 267, 543, 11826, 14223, 267, 4648, 21751, 538, 713, 13395, 1858, 1796, 26405, 547, 1118, 6209, 7418, 4724, 5935, 519, 2104, 18330, 540, 6389, 2012, 10350, 543, 4655, 6571, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8802, 626, 1674, 540, 1547, 7563, 6389, 4408, 543, 1644, 2533, 616, 3177, 676, 552, 301, 558, 4516, 15278, 543, 552, 301, 558, 4516, 781, 11280, 25255, 267, 8069, 267, 543, 3651, 4315, 630, 3712, 937, 1947, 5219, 547, 538, 713, 8791, 808, 607, 834, 324, 301, 558, 4516, 19823, 5083, 340, 656, 547, 519, 1739, 2474, 269, 1635, 26446, 513, 7662, 547, 11578, 513, 1547, 7563, 6389, 2012, 610, 6382, 1210, 1022, 540, 519, 2533, 3177, 676, 552, 301, 558, 4516, 596, 11760, 543, 24901, 602, 596, 723, 1224, 267, 6956, 267, 543, 8815, 547, 581, 3808, 676, 519, 2474, 540, 713, 8791, 808, 269, 634, 2474, 540, 713, 8791, 808, 1331, 267, 1294, 2630, 267, 602, 596, 3858, 547, 519, 2474, 540, 519, 8225, 5769, 32310, 16958, 781, 9497, 5746, 6938, 781, 8442, 21362, 7949, 15716, 543, 8225, 3465, 775, 21976, 267, 1312, 540, 799, 949, 27057, 581, 1336, 693, 5291, 2517, 4178, 269, 857, 571, 28022, 19841, 11305, 520, 318, 8802, 626, 1674, 11258, 269, 1635, 26446, 513, 7662, 547, 11578, 513, 1547, 7563, 6389, 2012, 610, 6382, 1210, 1022, 540, 519, 2533, 3177, 676, 552, 301, 558, 4516, 596, 11760, 543, 24901, 602, 596, 723, 1224, 267, 6956, 267, 543, 8815, 547, 581, 3808, 676, 519, 2474, 540, 16275, 6938, 781, 21362, 7949, 589, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 558, 664, 8745, 2598, 1584, 525, 257, 607, 851, 540, 834, 30311, 1315, 25827, 16296, 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, 519, 7706, 540, 5339, 10070, 267, 5022, 3180, 513, 2027, 1747, 269, 1358, 2709, 721, 513, 19214, 883, 519, 2123, 4555, 267, 4606, 267, 543, 2833, 540, 2043, 945, 5030, 538, 1114, 2053, 543, 4025, 269, 7324, 891, 5022, 267, 2112, 5022, 3180, 1880, 4644, 1813, 547, 741, 2702, 547, 6655, 519, 6151, 4664, 267, 24279, 267, 543, 2591, 5185, 676, 7980, 543, 21127, 1282, 29053, 269, 634, 21626, 3177, 12857, 721, 547, 968, 29910, 538, 23582, 5020, 2223, 513, 4015, 540, 5022, 2854, 676, 9400, 27538, 827, 6723, 6115, 779, 1272, 269, 1284, 786, 2263, 1585, 3344, 540, 5339, 10070, 267, 4481, 2519, 593, 5022, 543, 2112, 5022, 267, 998, 519, 1739, 4798, 281, 2796, 267, 3140, 1871, 267, 3929, 16982, 267, 1893, 543, 2511, 267, 543, 4296, 547, 4207, 2486, 780, 3519, 3667, 281, 4197, 519, 17461, 454, 1366, 15365, 6524, 18167, 883, 519, 9115, 540, 513, 4484, 610, 513, 4015, 899, 968, 29910, 538, 23582, 5020, 2223, 621, 568, 1898, 547, 1174, 922, 3140, 267, 1514, 267, 2797, 267, 543, 2686, 2796, 269, 1280, 3236, 267, 6616, 811, 827, 9400, 27538, 543, 1010, 2078, 609, 6723, 6115, 666, 1683, 3407, 4030, 950, 2542, 1010, 2272, 540, 6115, 781, 6469, 1272, 269, 6684, 267, 1373, 3222, 540, 519, 942, 1974, 24568, 713, 2013, 267, 519, 3735, 22733, 2540, 1765, 3559, 1186, 3988, 5660, 519, 16082, 540, 519, 1893, 1031, 543, 9787, 519, 17888, 6848, 8155, 543, 2418, 269, 1635, 6313, 519, 4282, 540, 1312, 519, 2278, 4433, 264, 543, 18579, 4433, 1070, 2059, 609, 519, 6626, 8739, 3620, 626, 5566, 2796, 267, 596, 666, 10802, 707, 7664, 543, 2079, 540, 519, 5931, 780, 23208, 10025, 281, 3465, 6326, 6181, 9313, 454, 5785, 21387, 4131, 1562, 1419, 2270, 20250, 6589, 540, 2621, 267, 1004, 267, 543, 27742, 689, 1808, 8090, 538, 1686, 269, 1306, 971, 267, 789, 4196, 607, 3119, 2959, 602, 3565, 3648, 547, 938, 1702, 543, 1620, 540, 519, 2250, 269, 1280, 1383, 267, 519, 19359, 1063, 4108, 3401, 543, 741, 3885, 2488, 513, 2189, 5133, 593, 519, 2729, 540, 1346, 4299, 676, 10617, 269, 3958, 267, 4974, 891, 6054, 2636, 3173, 547, 5659, 875, 8369, 267, 4978, 267, 543, 8456, 723, 7960, 630, 528, 7283, 5812, 264, 2429, 1686, 269, 3414, 11091, 3646, 267, 8021, 267, 21517, 267, 15882, 267, 543, 3059, 5867, 2327, 4797, 10333, 543, 10083, 540, 891, 2326, 547, 1459, 543, 2104, 5481, 780, 10387, 10899, 1763, 28585, 281, 5890, 7675, 5274, 640, 27933, 18366, 454, 24801 ]

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

[ 834, 266, 18196, 314, 573, 27994, 14824, 454, 453, 338, 27942, 815, 13483, 331, 314, 271, 281, 6352, 4433, 27942, 9984, 272, 27994, 8442, 4840, 13537, 13483, 331, 454, 453, 339, 787, 912, 453, 453, 19387, 20216, 31146, 4433, 27942, 994, 453, 21955, 281, 28768, 453, 13537, 834, 13052, 3041, 4811, 4840, 453, 692, 0, 12163, 5425, 5746, 268, 2568, 274, 281, 654, 330, 476, 278, 6997, 476, 276, 454, 12041, 281, 24177, 283, 623, 24170, 623, 4599, 327, 752, 541, 645, 1002, 9638, 343, 321, 9262, 272, 276, 287, 761, 12975, 1070, 15550, 599, 752, 3057, 8932, 17635, 14790, 4281, 280, 276, 287, 761, 12975, 264, 9563, 7531, 1607, 568, 513, 11015, 609, 513, 7470, 540, 2338, 543, 513, 1305, 540, 1614, 17574, 22795, 547, 1747, 269, 3962, 8955, 568, 5116, 593, 835, 454, 338, 13645, 540, 519, 7470, 543, 6227, 1614, 540, 519, 2185, 23276, 610, 19794, 11105, 10945, 269, 634, 3804, 568, 547, 454, 16225, 519, 5207, 2040, 540, 2338, 2009, 780, 309, 619, 542, 281, 476, 272, 269, 272, 454, 20701, 258, 7383, 338, 912, 5814, 10070, 454, 5814, 707, 5334, 15659, 318, 7116, 2544, 454, 5814, 15259, 29624, 692, 258, 6820, 4632, 912, 258, 18452, 9936, 1031, 547, 4159, 519, 1297, 540, 22795, 538, 519, 15044, 1592, 540, 5207, 2040, 7740, 454, 7224, 8170, 299, 553, 619, 815, 476, 271, 454, 258, 12025, 540, 519, 5119, 2016, 607, 3403, 454, 21653, 815, 476, 271, 454, 258, 1230, 13935, 519, 9343, 5833, 689, 519, 5119, 538, 519, 2016, 3758, 563, 4900, 815, 11713, 258, 589, 1592, 540, 8913, 1255, 5627, 1344, 593, 20098, 619, 971, 607, 922, 4737, 267, 6241, 267, 10066, 543, 2040, 454, 11907, 815, 10070, 8542, 3139, 14654, 921, 3488, 299, 6471, 3299, 18358, 992, 3299, 1412, 3712, 3299, 1412, 528, 1304, 566, 3299, 1412, 8999, 262, 7481, 258, 589, 10151, 1592, 2813, 547, 3180, 519, 1239, 454, 31184, 8266, 815, 29129, 3698, 1205, 10574, 10031, 825, 8173, 825, 717, 1115, 519, 1239, 689, 606, 3403, 3758, 543, 11378, 621, 883, 513, 1592, 454, 825, 2433, 12407, 281, 7183, 454, 825, 2433, 8873, 9343, 281, 589, 1592, 799, 568, 513, 5119, 5627, 2009, 7740, 585, 519, 22795, 454, 825, 8173, 825, 2518, 2450, 454, 825, 1247, 6936, 912, 1038, 3758, 11243, 815, 3403, 3488, 11767, 519, 3758, 2012, 281, 1412, 2020, 1038, 952, 3758, 11243, 26098, 3488, 269, 339, 868, 10807, 11203, 910, 272, 912, 2018, 952, 15259, 29624, 20216, 1235, 31526, 11243, 2187, 3546, 3758, 815, 1930, 31526, 11243, 994, 3546, 585, 1775, 538, 3758, 912, 7386, 2450, 6834, 476, 272, 454, 7386, 9343, 6910, 9217, 21858, 15405, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 3488, 8923, 4283, 513, 4570, 2619, 5073, 1038, 8640, 15259, 29624, 20216, 1235, 31526, 11243, 1341, 29717, 339, 868, 262, 2187, 3546, 3758, 815, 1930, 31526, 11243, 1341, 29717, 339, 868, 5073, 3546, 585, 1775, 538, 3758, 912, 7386, 2450, 6834, 476, 272, 454, 7386, 9343, 6910, 9217, 21858, 15405, 3546, 2736, 454, 1038, 3116, 912, 2018, 1820, 3488, 8923, 4283, 513, 3758, 602, 568, 2139, 538, 519, 15682, 8627, 5073, 825, 2132, 9343, 7531, 3698, 8955, 17004, 263, 4900, 2187, 825, 8173, 825, 717, 1115, 519, 1239, 689, 606, 3403, 3758, 543, 11378, 621, 883, 513, 1592, 454, 825, 2433, 12407, 9343, 281, 589, 1592, 799, 568, 513, 5119, 5627, 2009, 7740, 585, 519, 22795, 454, 825, 2433, 8873, 10917, 8266, 281, 589, 10151, 1592, 2813, 547, 3180, 519, 1239, 5627, 4737, 267, 897, 267, 10066, 543, 922, 8998, 11764, 454, 825, 8173, 825, 1948, 8998, 11764, 568, 519, 5021, 540, 519, 2040, 5833, 689, 1114, 31223, 540, 1367, 7740, 454, 825, 1948, 10917, 15575, 568, 519, 10151, 1293, 2838, 547, 621, 4733, 936, 1114, 31223, 540, 1367, 7740, 454, 825, 8998, 11764, 267, 10917, 15575, 815, 476, 271, 267, 476, 271, 454, 825, 1948, 6257, 519, 4287, 538, 799, 519, 2040, 540, 1367, 7740, 568, 1373, 7229, 454, 825, 10066, 815, 834, 4840, 825, 1948, 1230, 13935, 519, 10151, 2040, 540, 519, 7740, 2348, 476, 275, 31223, 454, 825, 2040, 815, 11713, 825, 585, 1775, 538, 2039, 4433, 1125, 2187, 1038, 585, 795, 538, 2039, 4433, 1125, 2187, 2018, 952, 9217, 2652, 476, 271, 543, 27203, 2652, 476, 271, 610, 795, 2652, 2450, 268, 272, 15892, 3546, 1948, 1236, 2354, 519, 7944, 2609, 593, 519, 1101, 4737, 454, 3546, 1780, 454, 2018, 8640, 1775, 2652, 2450, 268, 272, 543, 630, 329, 2652, 476, 271, 610, 795, 2652, 2450, 268, 272, 2187, 3546, 1948, 1236, 2354, 519, 7944, 2609, 593, 519, 2063, 4737, 454, 3546, 1780, 454, 2018, 8640, 1775, 2652, 476, 271, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 1283, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 3162, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 1775, 2652, 2450, 268, 272, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 5377, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 268, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 3345, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 795, 2652, 476, 271, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 2451, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 5101, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 8640, 795, 2652, 2450, 268, 272, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 593, 519, 1318, 8473, 540, 519, 5119, 4849, 519, 7944, 2609, 454, 3546, 8998, 11764, 815, 703, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 7481, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 1412, 293, 5217, 4639, 3299, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 2018, 3116, 912, 3546, 1948, 6726, 919, 519, 8998, 11764, 540, 2609, 538, 519, 1647, 540, 519, 5119, 454, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 3162, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 268, 272, 6012, 329, 25818, 1412, 293, 5217, 3345, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 266, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 5101, 262, 7481, 3546, 2040, 6910, 8443, 842, 263, 4900, 5157, 268, 272, 6012, 329, 8079, 1341, 703, 263, 4900, 5157, 6012, 329, 268, 272, 8079, 1341, 703, 263, 4900, 5157, 266, 272, 6012, 329, 25818, 1412, 293, 5217, 4639, 262, 7481, 3546, 8998, 11764, 815, 3193, 4433, 636, 314, 271, 6012, 271, 3910, 2040, 314, 272, 6012, 271, 3910, 2040, 314, 273, 6012, 271, 3910, 2040, 314, 274, 6012, 271, 7481, 3546, 1247, 10917, 15575, 10922, 476, 274, 912, 7386, 952, 8998, 11764, 2652, 2040, 314, 31184, 15575, 6012, 271, 14158, 13376, 10066, 815, 2040, 314, 31184, 15575, 6012, 272, 2639, 7386, 10917, 15575, 815, 10917, 15575, 1341, 476, 272, 454, 3546, 2040, 815, 11713, 3546, 10917, 15575, 815, 476, 271, 454, 3546, 10917, 10574, 815, 1239, 9217, 267, 795, 267, 10066, 267, 8998, 11764, 994, 3546, 10917, 8266, 6910, 6025, 11391, 10574, 994, 825, 2132, 10917, 8266, 692, 3698, 1292, 10031, 825, 8173, 825, 634, 1292, 4991, 519, 3593, 13859, 3403, 585, 519, 1239, 3758, 543, 519, 1297, 540, 22795, 543, 454, 825, 16493, 519, 1592, 540, 5207, 8998, 11764, 7740, 609, 741, 4099, 7158, 543, 10066, 454, 825, 2433, 8873, 281, 7183, 454, 825, 8173, 825, 2518, 9343, 267, 1100, 8170, 299, 553, 619, 454, 825, 1948, 717, 1115, 519, 1239, 547, 581, 1031, 689, 519, 3403, 3758, 454, 825, 9343, 815, 1205, 10574, 10797, 825, 1948, 1306, 802, 585, 519, 1297, 540, 22795, 2394, 519, 3593, 13788, 606, 3403, 538, 519, 9138, 2039, 454, 825, 1247, 6936, 912, 1038, 1100, 8170, 299, 553, 619, 815, 3403, 3488, 11767, 519, 1297, 540, 22795, 547, 581, 5116, 281, 30386, 1038, 952, 3799, 334, 8170, 299, 553, 619, 18994, 333, 10179, 545, 3890, 2187, 2018, 1100, 8170, 299, 553, 619, 815, 703, 3799, 334, 8170, 299, 553, 619, 994, 2018, 1948, 519, 1297, 540, 22795, 1058, 581, 1447, 982, 610, 3160, 547, 519, 2009, 8955, 7740, 538, 519, 5119, 454, 2018, 952, 711, 630, 7224, 8170, 299, 553, 619, 10922, 630, 21653, 265, 21653, 268, 275, 15892, 3546, 1820, 3488, 8923, 4283, 513, 4570, 1297, 540, 20098, 619, 799, 568, 1447, 982, 610, 3160, 547, 1412, 266, 1193, 4433, 1125, 265, 21653, 268, 275, 264, 1341, 1412, 8206, 256, 5073, 2018, 3116, 912, 3546, 2736, 454, 1038, 3116, 912, 2018, 1820, 3488, 8923, 4283, 513, 4570, 1297, 256, 5073, 825, 1948, 595, 8712, 519, 1599, 602, 21410, 519, 8998, 11764, 540, 519, 7740, 538, 519, 2016, 5119, 454, 825, 1948, 4611, 8266, 568, 513, 24042, 5627, 513, 1592, 540, 15044, 22795, 454, 825, 4611, 8266, 815, 707, 5334, 15659, 318, 7116, 2544, 269, 1067, 613, 31374, 10857, 6471, 17004, 263, 4900, 11723, 825, 1948, 2598, 680, 904, 519, 4611, 1592, 1759, 593, 519, 3593, 781, 3403, 540, 519, 1297, 540, 22795, 454, 825, 585, 1775, 538, 2039, 3799, 334, 8170, 299, 553, 619, 2187, 1038, 1820, 3488, 3488, 266, 1598, 31114, 532, 8266, 5157, 6012, 271, 8079, 266, 12887, 1341, 1193, 31114, 532, 8266, 5157, 6012, 272, 8079, 266, 10807, 3299, 4611, 8266, 5157, 6012, 273, 3910, 1412, 11764, 815, 3299, 4611, 8266, 5157, 6012, 274, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5814, 536, 6853, 454, 5814, 19523, 692, 258, 6282, 525, 606, 11346, 269, 901, 11346, 12958, 513, 546, 16244, 1257, 3758, 563, 5035, 2637, 4733, 17572, 23330, 1807, 6357, 6853, 269, 18196, 20166, 704, 1807, 2187, 825, 1025, 16182, 4067, 815, 834, 15953, 269, 2102, 4733, 18316, 318, 28072, 4840, 825, 1025, 9078, 8475, 815, 834, 7049, 4733, 11711, 7358, 1807, 5016, 825, 1219, 14892, 4311, 267, 2796, 2187, 1038, 1820, 3488, 17730, 1007, 546, 16244, 1257, 3758, 1862, 5073, 1038, 2119, 912, 2018, 3758, 815, 1930, 3488, 270, 24610, 10768, 5282, 7933, 16244, 17902, 12887, 342, 5073, 2018, 3758, 25379, 4590, 1038, 4849, 912, 2018, 1820, 3488, 4462, 762, 547, 1711, 1257, 3758, 256, 5073, 2018, 2132, 27835, 293, 2562, 23360, 3633, 262, 8679, 1038, 1820, 2891, 288, 546, 16244, 1257, 3758, 729, 2813, 593, 1315, 24610, 10768, 5282, 5602, 1038, 2132, 27835, 293, 2562, 23360, 3633, 262, 10926, 258, 3204, 8651, 519, 11346, 454, 3698, 11578, 10031, 825, 536, 6853, 269, 583, 2812, 269, 2958, 3563, 318, 5035, 263, 7049, 4733, 17572, 23330, 1807, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 11578, 4590, 3097, 258, 14840, 519, 7097, 547, 11578, 621, 538, 2349, 2658, 267, 1287, 2046, 2230, 538, 519, 476, 274, 291, 2070, 454, 258, 543, 3406, 519, 11346, 538, 519, 1257, 4216, 269, 8437, 593, 621, 547, 14892, 269, 589, 546, 16244, 454, 258, 3758, 1590, 2408, 593, 1315, 24610, 10768, 5282, 692 ]

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

[ 7903, 1062, 602, 568, 1455, 609, 2527, 2504, 269, 769, 513, 7485, 1062, 267, 519, 10421, 547, 3132, 811, 4386, 607, 513, 2048, 338, 793, 531, 685, 689, 835, 1184, 547, 519, 3105, 1184, 563, 3674, 26227, 7903, 610, 7485, 888, 13070, 850, 568, 513, 1184, 540, 17444, 267, 2864, 982, 11319, 269, 623, 5241, 1797, 26471, 960, 547, 606, 11653, 267, 6466, 17444, 1797, 606, 11653, 1178, 25290, 741, 1985, 4305, 2899, 789, 723, 519, 19961, 547, 960, 593, 1945, 1007, 563, 1432, 616, 519, 2010, 540, 7485, 1062, 888, 2467, 616, 1614, 2596, 2010, 540, 7485, 2504, 1949, 912, 268, 8111, 21466, 29553, 3590, 269, 634, 1034, 2596, 543, 7839, 1826, 267, 849, 1634, 607, 513, 6445, 5346, 610, 25579, 7321, 610, 513, 15178, 7485, 1062, 269, 6693, 268, 14938, 1113, 29553, 3590, 269, 6693, 268, 24908, 8111, 21466, 543, 14938, 1113, 29553, 3590, 269, 6693, 268, 6423, 281, 3807, 2987, 6874, 830, 13870, 282, 3683, 335, 3174, 563, 268, 14424, 281, 32379, 13870, 563, 1432, 568, 7485, 20319, 888, 1432, 1281, 968, 335, 1638, 892, 1611, 286, 29553, 20319, 602, 568, 5059, 593, 519, 1439, 3804, 543, 14439, 1142, 31317, 2534, 538, 519, 1697, 5311, 540, 2621, 269, 901, 2337, 547, 2697, 1022, 4123, 610, 2534, 1688, 26160, 689, 519, 1394, 1439, 282, 3850, 3025, 593, 519, 1788, 547, 917, 950, 543, 1018, 2115, 547, 581, 2944, 547, 1832, 519, 1788, 12902, 563, 3674, 20855, 3316, 7903, 610, 7485, 888, 298, 534, 3316, 568, 513, 7485, 2861, 1184, 267, 2495, 267, 2319, 2818, 7485, 960, 547, 2933, 950, 789, 723, 519, 19961, 1107, 960, 568, 711, 14593, 610, 8655, 676, 2576, 3116, 268, 543, 5601, 256, 602, 2306, 513, 1713, 3017, 563, 1432, 616, 519, 476, 276, 3268, 540, 737, 534, 3316, 6388, 888, 2467, 616, 2947, 1292, 3268, 547, 7598, 513, 20855, 3316, 1062, 912, 268, 10439, 1125, 707, 1699, 20104, 563, 268, 15233, 4518, 2987, 268, 31088, 630, 310, 7709, 264, 7182, 563, 268, 5269, 4507, 8763, 563, 268, 28509, 543, 2268, 2095, 563, 268, 8838, 4476, 12055, 8271, 609, 1239, 563, 1432, 568, 3017, 1063, 7485, 543, 7903, 888, 2690, 576, 281, 32379, 543, 29553, 589, 3196, 602, 2242, 519, 4287, 540, 606, 1843, 2509, 596, 267, 602, 1131, 581, 513, 7485, 269, 2201, 519, 824, 1688, 267, 952, 621, 7575, 2476, 267, 621, 568, 513, 7903, 563, 1432, 568, 513, 7903, 1062, 888, 1103, 11891, 267, 7903, 1949, 616, 1346, 1141, 519, 1870, 9753, 2472, 609, 519, 2832, 540, 9513, 269, 769, 824, 1913, 267, 519, 1870, 24864, 922, 4540, 6006, 593, 519, 7082, 269, 32379, 1949, 616, 899, 27617, 12754, 12020, 630, 2207, 303, 264, 610, 7698, 12754, 12020, 630, 300, 14641, 264, 1949, 563, 1432, 568, 519, 1292, 3017, 1063, 7903, 543, 7485, 1062, 888, 763, 1292, 3017, 1063, 7903, 543, 7485, 1949, 568, 602, 538, 513, 7903, 1062, 267, 2504, 9598, 919, 875, 1454, 540, 519, 1587, 786, 581, 968, 16476, 1117, 892, 547, 519, 2344, 1247, 538, 513, 7485, 1062, 267, 1699, 3747, 968, 335, 1638, 338, 892, 519, 5370, 267, 1775, 4318, 269, 621, 9598, 919, 950, 543, 875, 1454, 547, 3132, 269, 0, 9802, 476, 274, 267, 476, 4489, 278, 281, 9605, 10032, 519, 4639, 9098, 14224, 2218, 3427, 538, 32368, 518, 269, 634, 1153, 729, 32206, 267, 543, 621, 7960, 883, 519, 9872, 1631, 1634, 607, 8000, 558, 659, 3557, 5441, 563, 9802, 476, 275, 267, 476, 6245, 277, 281, 634, 5753, 779, 5851, 5980, 729, 4646, 676, 513, 1895, 540, 4077, 31760, 26110, 693, 519, 962, 300, 7563, 269, 4256, 3804, 729, 547, 1747, 29152, 539, 543, 20495, 1453, 609, 12391, 3885, 2864, 982, 15624, 873, 883, 10315, 4057, 17346, 563, 9802, 476, 276, 267, 476, 4572, 274, 281, 589, 3595, 3323, 676, 7143, 10249, 2324, 593, 513, 1007, 10977, 7535, 10032, 1034, 540, 700, 10044, 5244, 267, 606, 31768, 6288, 538, 4077, 31760, 269, 4014, 700, 10044, 779, 5411, 9307, 602, 789, 1131, 25580, 267, 519, 6288, 2760, 556, 641, 2989, 563, 9802, 476, 276, 267, 476, 4572, 274, 281, 30110, 2536, 9291, 23720, 729, 4535, 538, 15391, 15838, 269, 1261, 4465, 811, 982, 476, 1789, 23594, 4721, 936, 513, 5722, 11546, 322, 1228, 4876, 543, 568, 2808, 835, 540, 519, 1655, 23153, 5716, 538, 1686, 563, 9802, 476, 277, 267, 476, 8687, 273, 281, 2920, 22999, 543, 10629, 9410, 7605, 2581, 5548, 1415, 729, 4535, 538, 8176, 16011, 269, 769, 5988, 476, 5908, 276, 267, 646, 729, 20827, 607, 513, 2101, 538, 519, 772, 2529, 269, 2051, 1819, 18858, 3591, 269, 1261, 729, 519, 1152, 3979, 12677, 6406, 2782, 11464, 547, 581, 2016, 513, 2361, 4971, 563, 9802, 476, 277, 267, 476, 3422, 279, 281, 589, 6024, 1295, 518, 3684, 693, 519, 717, 879, 2917, 15021, 1299, 3213, 651, 29017, 572, 6202, 3143, 269, 476, 279, 9553, 2759, 883, 606, 11105, 9553, 267, 799, 729, 4904, 609, 1216, 269, 634, 4611, 6360, 546, 27547, 2185, 19379, 543, 16290, 476, 2641, 1866, 563, 9802, 476, 278, 267, 476, 9264, 275, 281, 8298, 534, 6019, 729, 2813, 676, 519, 9098, 4937, 13909, 689, 2694, 540, 717, 3796, 267, 570, 1794, 1168, 749, 267, 16410, 749, 267, 543, 20855, 1177, 3873, 17521, 269, 634, 10315, 10160, 729, 1101, 1634, 607, 4521, 985, 6807, 267, 1287, 19966, 19265, 267, 543, 6368, 8298, 534, 563, 9802, 476, 278, 267, 476, 6977, 278, 281, 5261, 12138, 5839, 290, 1251, 548, 729, 4535, 538, 9412, 8822, 6019, 267, 9098, 267, 593, 1010, 4651, 779, 24873, 269, 1261, 6039, 607, 4639, 9098, 779, 27630, 17294, 563, 9802, 476, 278, 267, 476, 2735, 274, 281, 634, 1715, 5211, 717, 5282, 2817, 5211, 3459, 4238, 950, 519, 1101, 21233, 4099, 8118, 2282, 674, 599, 8291, 6807, 563, 9802, 476, 279, 267, 476, 5908, 275, 281, 29366, 1338, 10158, 1633, 23846, 729, 4535, 538, 12876, 23992, 269, 23846, 729, 513, 7986, 5755, 3046, 517, 543, 6039, 538, 519, 772, 2529, 269, 14130, 689, 476, 4489, 272, 547, 476, 4489, 274, 563, 9802, 476, 279, 267, 476, 1960, 279, 281, 27737, 20388, 902, 11969, 20462, 5747, 693, 519, 2085, 540, 476, 9834, 269, 1261, 729, 1101, 11221, 547, 6837, 538, 476, 4350, 273, 543, 6039, 585, 476, 2412, 1296, 563, 9802, 476, 280, 267, 476, 5197, 271, 281, 589, 2513, 819, 626, 3627, 9466, 729, 4535, 538, 8776, 2590, 2023, 267, 21086, 269, 3571, 476, 6977, 280, 986, 573, 593, 4498, 11825, 12113, 787, 27647, 1242, 519, 4182, 267, 2417, 9813, 908, 519, 3345, 543, 3162, 563, 9802, 476, 280, 267, 476, 7277, 274, 281, 20752, 22342, 2048, 8072, 14582, 548, 685, 685, 15196, 323, 729, 4535, 538, 6742, 1231, 7921, 269, 2201, 5147, 476, 275, 267, 476, 5908, 272, 267, 5617, 548, 8929, 513, 25463, 27365, 17199, 543, 3323, 1200, 22342, 4876, 563, 9802, 476, 280, 267, 476, 5908, 274, 281, 20752, 986, 11107, 8452, 693, 8738, 940, 25951, 267, 654, 7398, 6019, 269, 1703, 789, 1305, 3595, 547, 476, 5611, 267, 1822, 29054, 540, 3282, 267, 3282, 13688, 267, 9817, 585, 23028, 267, 2599, 8075, 267, 530, 30368, 267, 543, 3282, 2000, 23565, 16996, 563, 324, 8862, 309, 281, 634, 4639, 9098, 15610, 568, 513, 1788, 540, 519, 4639, 9098, 28299, 7027, 269, 1280, 811, 1344, 267, 3346, 519, 4639, 9098, 28299, 7027, 267, 476, 14530, 271, 20855, 1177, 3873, 2349, 341, 323, 269, 661, 1421, 4077, 31760, 267, 654, 309, 476, 26562, 4905, 282, 630, 19054, 264, 476, 31798, 268, 25616, 271, 282, 610, 3643, 552, 8862, 309, 693, 8940, 9884, 1597, 11602, 3820, 269, 0, 6635, 628, 15727, 568, 4440, 519, 1297, 476, 272, 2068, 540, 938, 20258, 1062, 269, 2311, 2547, 267, 2687, 547, 519, 3486, 7194, 602, 1131, 5815, 875, 1082, 540, 938, 10284, 686, 1824, 1131, 849, 7985, 689, 621, 269, 2859, 982, 476, 1321, 260, 540, 32228, 2103, 1131, 4061, 581, 4299, 676, 713, 2068, 267, 799, 3079, 9060, 922, 2594, 538, 3013, 269, 7316, 1175, 856, 540, 7279, 267, 4892, 4299, 676, 30169, 1131, 9765, 476, 1428, 10065, 4340, 547, 12665, 689, 782, 936, 519, 1158, 267, 835, 540, 519, 16167, 547, 2061, 519, 12625, 540, 713, 2068, 1131, 581, 7328, 269, 769, 1249, 267, 676, 8362, 2921, 1416, 540, 938, 4887, 3159, 267, 649, 1131, 581, 5732, 1447, 693, 1981, 269, 901, 568, 1018, 519, 4966, 1131, 8044, 269, 1809, 581, 2264, 602, 2899, 1586, 519, 2732, 1223, 9797, 610, 11874, 1860, 938, 1560, 563, 763, 2956, 540, 835, 540, 519, 2547, 1634, 8324, 454, 24791, 918, 1131, 581, 519, 3742, 16502, 538, 519, 6604, 540, 21404, 267, 855, 849, 540, 30169, 269, 4706, 4527, 538, 938, 1560, 1131, 581, 3743, 585, 519, 2953, 8647, 540, 5946, 269, 4746, 1360, 1271, 585, 1697, 1973, 32378, 267, 713, 6171, 1131, 581, 513, 1483, 15441, 1063, 6091, 267, 8031, 543, 7633, 269, 1635, 3246, 519, 2953, 5666, 540, 7513, 585, 519, 3232, 968, 10852, 5199, 892, 540, 938, 1560, 269, 769, 513, 2428, 9917, 961, 267, 952, 649, 1831, 28119, 538, 713, 6171, 267, 938, 20258, 1062, 1131, 581, 538, 10423, 7411, 269, 898, 568, 1454, 1447, 6994, 2213, 982, 519, 811, 4583, 8324, 645, 267, 595, 543, 667, 547, 2012, 1175, 513, 1906, 267, 855, 621, 1131, 581, 11613, 1100, 1447, 1271, 563, 302, 4614, 18576, 543, 930, 3029, 540, 30169, 1223, 4323, 721, 676, 2921, 5413, 540, 519, 10638, 540, 713, 2370, 14194, 3200, 2213, 855, 4909, 6171, 454, 29995, 513, 7059, 2732, 602, 2882, 513, 3099, 540, 3536, 593, 938, 3349, 1058, 10018, 721, 519, 2953, 3232, 6981, 540, 6171, 918, 269, 3807, 547, 1491, 2476, 519, 7279, 540, 938, 3988, 267, 789, 32736, 538, 713, 6219, 912, 268, 19997, 543, 23858, 3248, 268, 22282, 543, 28471, 31884, 3248, 268, 22156, 543, 535, 3317, 601, 3248, 268, 14274, 543, 22053, 563, 4517, 849, 930, 1360, 1455, 5613, 971, 607, 18683, 267, 737, 12685, 529, 267, 4453, 338, 543, 15708, 269, 634, 2179, 540, 476, 9610, 2890, 31810, 513, 1554, 585, 606, 2937, 1131, 4061, 3592, 2141, 581, 16798, 693, 519, 3349, 269, 1809, 267, 19890, 267, 2687, 547, 4966, 543, 3744, 267, 1851, 519, 10867, 9019, 2188, 540, 519, 30529, 2477, 267, 972, 568, 849, 519, 3668, 540, 713, 6171, 563, 2005, 10355, 20489, 538, 4079, 855, 581, 2264, 540, 1453, 454, 302, 4614, 18576, 543, 930, 3029, 540, 818, 628, 15727, 1223, 849, 4323, 721, 1813, 547, 519, 3668, 540, 713, 6171, 269, 1717, 267, 922, 4430, 525, 1131, 581, 3833, 4686, 538, 4079, 269, 1809, 267, 2628, 3007, 267, 3079, 267, 547, 9360, 538, 12256, 543, 20854, 269, 769, 1249, 267, 4758, 1453, 7050, 9360, 267, 1519, 6171, 918, 2861, 9360, 267, 1223, 1118, 873, 795, 16184, 823, 543, 8914, 519, 6797, 269, 1280, 602, 267, 2899, 1586, 267, 519, 5796, 568, 547, 2490, 547, 7189, 543, 12665, 543, 711, 547, 957, 540, 707, 1378, 786, 269, 4634, 538, 519, 6718, 540, 1018, 949, 3100, 899, 513, 2241, 2067, 7110, 563, 19322, 1479, 18969, 4712, 547, 2736, 855, 849, 9991, 4552, 1223, 581, 1813, 547, 519, 3668, 540, 713, 7777, 602, 568, 1932, 19765, 13846, 0, 288, 24637, 3493, 21627, 4016, 547, 519, 2724, 20024, 538, 513, 7813, 2272, 602, 666, 581, 32585, 593, 24683, 663, 1510, 1022, 4434, 5469, 269, 1306, 513, 7263, 3218, 267, 596, 666, 946, 519, 3747, 16005, 7482, 585, 707, 4948, 9276, 269, 6884, 267, 972, 568, 513, 6378, 3970, 538, 2474, 540, 11198, 532, 689, 519, 2272, 267, 4470, 2390, 519, 4871, 563, 10267, 9535, 543, 9806, 6589, 616, 519, 1455, 1806, 540, 3747, 12074, 269, 1452, 616, 1114, 689, 519, 2165, 12074, 538, 799, 596, 723, 547, 7227, 585, 513, 6378, 1974, 1354, 11198, 532, 519, 2179, 563, 5278, 1883, 2934, 540, 3747, 12074, 616, 607, 5205, 912, 307, 1779, 547, 938, 5092, 11285, 454, 1607, 568, 519, 1034, 1455, 1106, 540, 3747, 16005, 267, 799, 3091, 1713, 28880, 543, 2636, 11198, 532, 6666, 693, 1022, 3236, 269, 634, 10992, 2272, 1522, 7118, 513, 8766, 1719, 607, 519, 3747, 16005, 6589, 4125, 2539, 1981, 269, 1717, 267, 1759, 593, 519, 2883, 8502, 610, 519, 4871, 267, 972, 1223, 581, 513, 3017, 538, 519, 1719, 6976, 563, 1607, 2272, 568, 585, 519, 3747, 12074, 4371, 513, 3787, 3476, 982, 519, 2110, 3856, 10992, 6589, 269, 8750, 338, 538, 713, 2272, 723, 2539, 28880, 267 ]

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

[ 0, 31745, 528, 10794, 281, 589, 6239, 3281, 9426, 540, 7982, 326, 2459, 517, 692, 12988, 326, 2459, 517, 568, 513, 5929, 4604, 3014, 602, 814, 1044, 10150, 676, 1004, 2066, 4529, 543, 5481, 269, 634, 3014, 3322, 1079, 5716, 945, 1491, 7140, 12902, 18062, 543, 3001, 741, 4773, 1472, 519, 4604, 2687, 547, 519, 2338, 18202, 269, 2755, 972, 616, 1082, 2994, 543, 2553, 3238, 538, 4730, 1394, 326, 2459, 517, 267, 835, 1898, 5057, 540, 519, 3014, 568, 519, 19671, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1523, 540, 12979, 832, 538, 1394, 326, 2459, 517, 267, 922, 4644, 267, 543, 875, 621, 3252, 1369, 519, 6626, 2796, 540, 519, 3014, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 2620, 1620, 540, 519, 1909, 540, 12979, 832, 538, 1394, 326, 2459, 517, 543, 875, 789, 666, 1764, 519, 6364, 540, 519, 3014, 780, 1432, 568, 606, 31745, 528, 538, 7982, 326, 2459, 517, 2496, 2304, 19671, 568, 513, 7580, 13307, 540, 835, 610, 811, 2638, 619, 593, 513, 1448, 538, 519, 18545, 781, 1753, 4604, 269, 4706, 3119, 3483, 568, 547, 2061, 519, 18545, 689, 14656, 856, 519, 3014, 676, 12946, 1055, 782, 540, 741, 2638, 619, 269, 1879, 513, 6345, 20964, 606, 19671, 267, 789, 5150, 513, 2990, 593, 519, 4604, 602, 2636, 873, 547, 2226, 930, 1852, 936, 741, 18545, 781, 5322, 1247, 849, 3246, 513, 2922, 10093, 585, 741, 1378, 2638, 619, 780, 763, 19043, 540, 31745, 832, 538, 7982, 326, 2459, 517, 15613, 692, 1103, 1394, 326, 2459, 517, 267, 2348, 606, 19671, 2488, 1896, 5383, 269, 17616, 267, 621, 7182, 519, 18545, 781, 3681, 585, 1818, 2798, 267, 3226, 952, 789, 1152, 723, 835, 610, 1079, 2638, 619, 593, 513, 1448, 269, 19627, 267, 621, 5932, 3255, 585, 6305, 4070, 267, 3850, 519, 6345, 547, 1628, 513, 3774, 540, 2638, 619, 602, 9673, 1206, 519, 18545, 781, 10688, 1256, 2417, 269, 14936, 267, 606, 19671, 5713, 607, 513, 1761, 5614, 4580, 585, 22215, 519, 18545, 781, 2638, 619, 950, 519, 4316, 14340, 780, 4913, 267, 9591, 606, 19671, 3340, 6297, 7156, 269, 1773, 5217, 1932, 1082, 2638, 619, 593, 513, 2582, 1448, 949, 4734, 824, 2127, 7925, 267, 2870, 12755, 602, 519, 18545, 1223, 17908, 269, 5047, 267, 606, 19671, 1058, 23679, 581, 5116, 593, 513, 1448, 1141, 519, 18545, 814, 1906, 610, 1100, 2638, 619, 267, 4180, 5021, 7145, 269, 4475, 267, 3384, 513, 2178, 19671, 4640, 3340, 1312, 22509, 697, 543, 13916, 780, 29753, 2659, 31745, 528, 15613, 692, 2414, 3927, 6451, 12979, 832, 883, 707, 1394, 326, 2459, 517, 4640, 267, 2015, 519, 1739, 4388, 1384, 272, 269, 10576, 4617, 9634, 281, 6733, 585, 2127, 593, 707, 18545, 781, 4604, 1141, 789, 723, 7864, 2638, 619, 610, 9039, 693, 782, 269, 26787, 606, 19671, 593, 971, 2798, 4679, 519, 8458, 540, 1967, 1247, 10893, 16426, 11992, 563, 273, 269, 18696, 25213, 543, 8878, 281, 5457, 602, 12979, 832, 4196, 12242, 5301, 1107, 17516, 513, 2990, 543, 12145, 707, 18545, 781, 3681, 269, 5899, 633, 547, 10880, 513, 3666, 1063, 10728, 1404, 6322, 693, 29212, 17837, 262, 2638, 619, 543, 17872, 1404, 5059, 593, 4509, 513, 4396, 4527, 593, 519, 4604, 563, 274, 269, 4165, 4602, 622, 2104, 7575, 281, 11408, 1589, 6619, 543, 14650, 2009, 4093, 1759, 593, 1114, 18062, 20061, 269, 6333, 2436, 17923, 4540, 12979, 832, 610, 2679, 1007, 3283, 1131, 1683, 1732, 2164, 2016, 519, 6381, 563, 275, 269, 11154, 547, 4657, 3871, 281, 2142, 5423, 547, 12189, 707, 4640, 607, 2877, 1759, 593, 707, 18545, 781, 3527, 269, 1403, 606, 19671, 3587, 12219, 267, 6430, 3533, 2436, 547, 7794, 621, 267, 1847, 621, 267, 610, 10205, 621, 15587, 563, 276, 269, 6657, 2306, 3501, 281, 15043, 15334, 538, 1210, 12979, 832, 3217, 942, 543, 1995, 269, 7591, 4749, 1996, 1585, 5578, 2157, 543, 5659, 707, 2773, 547, 2697, 9342, 543, 12755, 538, 707, 1935, 780, 14483, 12367, 543, 7464, 21509, 10241, 692, 15697, 5867, 899, 3828, 3558, 543, 13334, 2709, 15792, 2200, 585, 11287, 1164, 7400, 1394, 326, 2459, 517, 13292, 543, 1565, 689, 19023, 5716, 269, 654, 10248, 4648, 6330, 1950, 7653, 5473, 12979, 832, 666, 1683, 3407, 4030, 883, 4359, 12485, 543, 2994, 269, 5015, 267, 10283, 538, 2228, 4663, 23788, 610, 11836, 2199, 15731, 3091, 3255, 585, 28798, 1983, 543, 2502, 609, 8284, 12439, 780, 6962, 692, 8139, 519, 1523, 540, 12979, 832, 543, 6220, 873, 883, 707, 1394, 326, 2459, 517, 4640, 3648, 10597, 707, 2949, 29863, 269, 1635, 9301, 741, 2956, 543, 8026, 2500, 6388, 267, 596, 666, 21592, 707, 7555, 1851, 15712, 543, 2333, 707, 18399, 540, 713, 15851, 3014, 269, 1306, 596, 3356, 998, 707, 3460, 538, 13215, 1394, 326, 2459, 517, 267, 3314, 602, 9639, 267, 18094, 267, 543, 7279, 616, 1883, 10256, 540, 2208, 543, 6454, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 930, 2081, 547, 1118, 21175, 1187, 585, 3214, 286, 3973, 267, 1946, 711, 2119, 930, 540, 891, 1187, 543, 1863, 21175, 4976, 7824, 338, 585, 3214, 563, 2791, 3580, 4440, 581, 11112, 8600, 606, 5863, 21175, 21649, 543, 596, 2731, 723, 547, 1832, 2370, 3946, 11112, 865, 596, 666, 9096, 707, 1378, 4247, 269, 1452, 1187, 7792, 2238, 267, 3756, 267, 543, 21175, 7801, 9212, 616, 513, 1390, 1259, 547, 7038, 3214, 593, 21175, 4303, 2336, 2467, 779, 513, 1390, 3575, 540, 7064, 15130, 3211, 543, 2238, 585, 782, 6502, 689, 9251, 547, 10026, 563, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 23333, 3036, 5058, 623, 8980, 2464, 11123, 918, 10680, 454, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 717, 6938, 2316, 307, 11070, 292, 27334, 9169, 11123, 918, 10680, 454, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 11553, 19860, 21764, 717, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 630, 536, 22857, 267, 12805, 3014, 267, 25094, 10152, 6968, 994, 6930, 355, 481, 17676, 8946, 3198, 16775, 294, 4353, 5058, 20796, 16775, 4047, 292, 4811, 11123, 918, 10680, 630, 5320, 3406, 267, 3406, 543, 3343, 267, 2262, 26545, 1076, 994, 9617, 4945, 519, 4647, 7735, 543, 1820, 707, 1378, 12215, 585, 2123, 946, 563, 11514, 25068, 281, 901, 2022, 3568, 24988, 6402, 799, 596, 666, 1451, 811, 827, 1934, 563, 8025, 3198, 16775, 294, 4353, 5058, 23333, 3036, 5058, 623, 8980, 2464, 17676, 11553, 19860, 21764, 7300, 454, 5575, 909, 616, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2304, 577, 528, 10632, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 7982, 326, 2459, 517, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4210, 15781, 883, 11059, 1107, 28133, 5851, 14840, 14216, 2421, 692, 5970, 596, 2479, 26927, 3139, 540, 18644, 1753, 8255, 899, 707, 5172, 11683, 13477, 28473, 630, 7876, 289, 264, 6345, 286, 4270, 267, 1205, 4712, 1317, 649, 2811, 827, 547, 2263, 606, 6909, 4316, 602, 666, 948, 2490, 1346, 9909, 883, 4641, 256, 901, 3184, 12857, 596, 547, 519, 1158, 540, 21738, 1753, 2196, 3541, 9812, 543, 875, 596, 666, 7119, 538, 873, 269, 1635, 519, 1439, 267, 596, 786, 917, 1018, 3937, 547, 946, 267, 945, 666, 6443, 267, 1141, 547, 1129, 909, 267, 543, 811, 2439, 1432, 568, 513, 5851, 14840, 14216, 2421, 888, 10900, 7042, 5331, 19480, 909, 547, 519, 6676, 1282, 513, 3014, 543, 1159, 4770, 519, 3440, 856, 540, 519, 6288, 256, 2334, 781, 4010, 1018, 4523, 538, 513, 1753, 2196, 3541, 2421, 269, 14847, 6002, 1491, 7140, 3843, 547, 5734, 607, 1082, 1753, 8255, 607, 2009, 1369, 513, 1978, 942, 3970, 610, 1297, 540, 23638, 269, 898, 781, 513, 1187, 1259, 547, 1397, 1055, 707, 10627, 1154, 1983, 1247, 849, 1750, 1359, 593, 1866, 780, 763, 16066, 289, 12789, 5851, 14840, 14216, 2421, 454, 10900, 13430, 28899, 13477, 28473, 6499, 547, 5000, 7820, 5481, 547, 1404, 13836, 543, 2571, 4252, 269, 1677, 798, 865, 267, 789, 723, 2813, 519, 16066, 289, 12789, 5851, 14840, 14216, 2421, 12544, 18487, 6735, 1930, 547, 8695, 543, 6690, 9907, 476, 1321, 543, 896, 630, 1321, 308, 264, 543, 476, 1691, 543, 896, 630, 1691, 308, 1070, 607, 1134, 607, 2571, 4252, 5716, 9907, 476, 1691, 543, 896, 630, 1691, 308, 264, 543, 476, 1626, 543, 896, 630, 1626, 308, 1040, 19893, 1101, 14526, 538, 741, 2199, 2950, 1354, 3001, 593, 547, 6237, 1710, 1023, 267, 543, 6368, 267, 519, 3084, 23594, 1222, 2439, 13420, 3612, 10261, 539, 454, 1366, 15365, 2414, 2327, 14619, 543, 3106, 267, 972, 616, 1808, 3652, 3823, 16835, 543, 11084, 1031, 538, 519, 16066, 289, 12789, 5851, 14840, 14216, 2421, 269, 1280, 2878, 19668, 4252, 1262, 267, 5171, 1590, 946, 2901, 513, 834, 24433, 257, 610, 834, 289, 6195, 3036, 257, 16826, 539, 10627, 609, 513, 5021, 15506, 13437, 16748, 630, 21990, 293, 264, 540, 476, 272, 269, 1428, 543, 513, 476, 273, 476, 276, 270, 279, 10759, 610, 4130, 22902, 8006, 269, 8074, 602, 16835, 609, 513, 476, 273, 476, 382, 378, 10759, 22902, 616, 10691, 4847, 269, 2201, 519, 824, 1688, 267, 2878, 7809, 4252, 1262, 15712, 991, 513, 10627, 609, 606, 4013, 589, 6347, 270, 24433, 9941, 4252, 16826, 269, 5269, 2386, 547, 2638, 891, 4170, 5402, 950, 8939, 707, 10591, 2439, 21093, 27973, 547, 14847, 324, 454, 10900, 692, 3086, 602, 596, 1174, 1018, 513, 1753, 2196, 3541, 2421, 568, 543, 1018, 3937, 547, 3142, 1577, 781, 2911, 827, 8600, 585, 519, 2680, 3294, 269, 3689, 267, 1265, 856, 952, 707, 2146, 14747, 606, 5993, 3541, 2421, 282, 952, 621, 3085, 1405, 267, 2015, 12180, 835, 3054, 256, 8921, 267, 3313, 2436, 596, 1616, 547, 14526, 538, 13836, 610, 2571, 4252, 543, 3442, 519, 3617, 2085, 6498, 1759, 593, 519, 4266, 7396, 538, 519, 4808, 630, 17141, 5147, 476, 736, 628, 540, 1142, 1032, 1040, 7053, 267, 3314, 547, 2259, 5781, 543, 24917, 707, 18711, 4480, 780, 14294, 532, 5455, 543, 11109, 8342, 454, 10900, 7042, 5629, 3388, 568, 1305, 267, 979, 6619, 543, 11578, 2228, 1210, 519, 3177, 3095, 269, 3973, 267, 782, 602, 781, 2451, 568, 6029, 909, 693, 519, 11280, 2361, 609, 707, 2838, 3937, 543, 4758, 621, 707, 1655, 8929, 256, 5213, 1405, 7340, 547, 2972, 1169, 4090, 540, 519, 1995, 910, 1310, 782, 267, 10283, 538, 971, 2621, 2636, 721, 547, 1711, 20605, 8823, 543, 1451, 3407, 1272, 4245, 2059, 519, 1259, 269, 6153, 9939, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9802, 476, 1724, 267, 476, 1708, 274, 454, 11277, 277, 5101, 476, 1691, 628, 9335, 454, 32292, 4821, 4975, 267, 18919, 476, 27844, 4905, 454, 10403, 7926, 281, 16066, 289, 12789, 25264, 684, 14216, 2421, 454, 306, 12944, 267, 2904, 476, 1724, 267, 476, 1708, 274, 454, 32292, 4821, 4975, 568, 9599, 547, 14773, 513, 1863, 4316, 585, 2199, 13836, 1299, 2571, 4252, 5716, 547, 14526, 538, 519, 16066, 289, 12789, 25264, 684, 14216, 2421, 593, 2904, 476, 1724, 628, 585, 513, 4960, 547, 14526, 693, 519, 2817, 5685, 1023, 2336, 2691, 281, 2904, 476, 1724, 267, 476, 1708, 274, 454, 8005, 281, 28473, 24812, 476, 1321, 308, 1299, 476, 1691, 308, 270, 25413, 4252, 24812, 476, 1691, 308, 1299, 476, 1626, 308, 454, 8489, 281, 28418, 12197, 267, 476, 11277, 277, 661, 476, 1691, 628, 853, 267, 24861, 4975, 18919, 454, 25413, 4252, 815, 589, 6347, 270, 24433, 9941, 4252, 853, 2086, 563, 26015, 4252, 815, 7330, 610, 18917, 3036, 16826, 609, 476, 272, 269, 1428, 22680, 293, 610, 1447, 269, 476, 273, 476, 276, 270, 279, 22902, 610, 1447, 269, 2608, 273, 476, 274, 270, 275, 22902, 711, 4847, 20330, 21848, 2759, 11325, 281, 5147, 476, 736, 267, 476, 1708, 274, 454, 1321 ]

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

[ 0, 3698, 15654, 19906, 8029, 825, 952, 711, 2855, 6769, 1038, 2132, 476, 271, 1477, 825, 1376, 815, 1295, 19906, 3418, 825, 1439, 815, 3193, 19906, 3418, 825, 2132, 2612, 12759, 19906, 264, 910, 7003, 263, 9792, 263, 11034, 267, 1439, 1341, 476, 272, 30727, 0, 3698, 9904, 1242, 4433, 8029, 825, 952, 711, 521, 6769, 1038, 2132, 521, 1477, 825, 521, 318, 21671, 318, 24393, 815, 1412, 8339, 21860, 8443, 577, 585, 669, 538, 521, 952, 669, 18994, 10401, 3890, 29573, 825, 952, 711, 521, 318, 21671, 318, 24393, 6769, 1038, 2132, 521, 318, 21671, 318, 24393, 1477, 825, 521, 5334, 9285, 815, 15044, 4433, 318, 21671, 318, 24393, 267, 1883, 284, 14433, 669, 281, 669, 31573, 3890, 3418, 825, 2132, 1412, 8339, 21860, 4433, 5334, 9285, 264, 0, 3698, 530, 558, 839, 318, 720, 3799, 8029, 825, 3490, 815, 562, 12262, 476, 273, 952, 562, 4939, 476, 273, 2652, 476, 271, 3116, 630, 333, 910, 476, 272, 264, 12262, 476, 273, 1477, 825, 1007, 5332, 815, 476, 736, 952, 562, 4939, 476, 273, 2652, 476, 271, 3116, 476, 2641, 1477, 825, 2132, 535, 257, 346, 333, 348, 286, 2334, 781, 1175, 2715, 2908, 5332, 9574, 538, 3490, 2715, 19668, 348, 10590, 0, 5228, 2979, 1104, 6989, 267, 21762, 5897, 3698, 1265, 318, 18905, 318, 2399, 832, 3799, 8029, 825, 1427, 815, 1496, 15947, 825, 1247, 562, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 562, 1315, 284, 476, 273, 1477, 825, 585, 1775, 538, 2039, 263, 274, 267, 6989, 4433, 5720, 3799, 4297, 1341, 476, 272, 267, 476, 273, 8029, 1038, 1247, 562, 4939, 1775, 2652, 476, 271, 6769, 2018, 1427, 6910, 9217, 3418, 2018, 562, 1315, 284, 1775, 1477, 825, 952, 562, 3436, 476, 273, 6769, 1038, 1427, 6910, 3799, 3418, 825, 2132, 1427, 5897, 3698, 1265, 318, 4486, 263, 16780, 11736, 318, 4486, 8029, 825, 6305, 318, 2399, 832, 815, 1265, 318, 18905, 318, 2399, 832, 17301, 263, 16780, 11736, 318, 4486, 267, 476, 1626, 17903, 825, 2132, 630, 18905, 318, 2399, 832, 15631, 272, 316, 910, 476, 272, 264, 2608, 630, 18905, 318, 2399, 832, 15631, 273, 316, 910, 476, 272, 264, 0, 3698, 23396, 263, 560, 8029, 825, 2132, 1412, 8339, 21860, 10857, 269, 21639, 3890, 952, 561, 538, 1412, 2801, 328, 537, 262, 3116, 561, 585, 561, 538, 588, 264, 0, 3698, 6580, 318, 9792, 263, 720, 8029, 825, 952, 2085, 10922, 476, 1691, 6769, 1038, 2132, 535, 262, 346, 842, 263, 720, 910, 476, 271, 269, 272, 2608, 2085, 14587, 268, 346, 842, 263, 720, 1341, 476, 271, 269, 272, 2608, 2085, 14587, 262, 1477, 825, 2132, 535, 262, 346, 720, 12262, 476, 273, 1341, 476, 278, 18511, 18950, 720, 910, 476, 278, 264, 2608, 476, 273, 348, 262, 1477, 0, 3698, 20262, 318, 273, 16229, 19304, 978, 8029, 825, 2132, 1412, 8339, 21860, 263, 577, 952, 669, 31573, 3890, 711, 538, 1412, 2801, 328, 537, 262, 3116, 1193, 9217, 264, 585, 1775, 267, 669, 538, 26246, 19304, 978, 267, 476, 272, 4297, 0, 3698, 1011, 1712, 19906, 2567, 567, 1477, 825, 952, 1826, 19906, 314, 271, 8079, 568, 703, 543, 1826, 19906, 314, 272, 8079, 568, 703, 6769, 1038, 6060, 815, 2855, 314, 271, 316, 1341, 2855, 314, 272, 15947, 825, 8640, 1826, 19906, 314, 271, 8079, 568, 703, 610, 1826, 19906, 314, 272, 8079, 568, 703, 6769, 1038, 6060, 815, 2855, 314, 271, 316, 952, 1826, 19906, 314, 271, 8079, 568, 703, 3116, 2855, 314, 272, 15947, 825, 3116, 6769, 1038, 2132, 1412, 309, 1355, 256, 262, 1477, 825, 1427, 815, 1496, 15947, 825, 585, 562, 538, 2039, 263, 16557, 8029, 1038, 1427, 6910, 19906, 3418, 825, 2132, 1427, 0, 5814, 5569, 5897, 3698, 2013, 5334, 17567, 4433, 8029, 825, 952, 711, 521, 6769, 1038, 2132, 1496, 12148, 267, 1496, 14963, 1477, 825, 2132, 1496, 338, 18994, 12294, 19572, 1592, 6600, 559, 614, 10857, 10033, 669, 281, 669, 538, 5569, 269, 30913, 328, 318, 6269, 27664, 267, 1496, 12072, 585, 4484, 538, 521, 316, 4297, 316, 0, 3698, 1293, 318, 24393, 318, 663, 5091, 580, 1080, 4433, 8029, 825, 2132, 2040, 263, 272, 585, 669, 538, 521, 952, 669, 18994, 10401, 3890, 610, 669, 18994, 323, 13424, 28829 ]

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

[ 1445, 741, 3646, 593, 25305, 1346, 6589, 1210, 811, 2757, 1490, 1393, 268, 4403, 2409, 563, 27879, 5320, 30574, 568, 2500, 1317, 1082, 3755, 1869, 946, 4617, 267, 3362, 7058, 762, 18538, 267, 971, 607, 968, 10139, 5320, 11277, 892, 610, 968, 611, 2381, 6100, 634, 30429, 6238, 676, 3843, 513, 1906, 1455, 18538, 1996, 513, 1804, 1297, 540, 6589, 267, 15691, 547, 1265, 513, 1507, 1297, 540, 6589, 602, 946, 835, 540, 1346, 18538, 269, 1358, 666, 1287, 946, 1346, 6589, 547, 15583, 622, 741, 22864, 543, 2744, 1569, 547, 6213, 1239, 563, 2414, 2149, 1996, 10957, 30574, 6285, 267, 596, 666, 1246, 891, 3268, 912, 268, 2422, 2178, 18538, 281, 2422, 2178, 543, 2189, 18538, 585, 1142, 540, 707, 6589, 267, 543, 1118, 2386, 789, 616, 693, 2547, 476, 1321, 3197, 1279, 543, 1331, 513, 3575, 540, 5022, 267, 2338, 267, 543, 6698, 563, 268, 2037, 762, 1079, 29969, 17452, 630, 273, 11902, 2567, 5565, 29969, 17452, 2488, 606, 3063, 4494, 540, 3354, 676, 8506, 513, 2034, 3815, 267, 971, 607, 513, 3354, 18351, 610, 513, 835, 6066, 3009, 2366, 547, 707, 6049, 267, 538, 1840, 547, 707, 10957, 563, 268, 17115, 9337, 707, 18538, 281, 17115, 1689, 707, 18538, 543, 946, 513, 10957, 9614, 547, 18172, 4558, 707, 18538, 563, 268, 18554, 707, 6589, 281, 17115, 6895, 707, 6589, 585, 1022, 19035, 2534, 543, 1867, 1022, 18977, 1569, 5612, 563, 268, 2142, 18762, 540, 26122, 1085, 4461, 281, 2142, 18762, 540, 26122, 1085, 4461, 602, 2119, 547, 8945, 596, 883, 4758, 909, 707, 10957, 267, 543, 2141, 13182, 519, 13597, 540, 15737, 543, 7270, 1354, 10024, 707, 10957, 563, 268, 2422, 513, 3354, 3070, 281, 6333, 1210, 513, 3354, 3070, 971, 607, 513, 2123, 31216, 610, 28456, 3301, 547, 2149, 707, 3457, 543, 5121, 1996, 6285, 563, 268, 13773, 5483, 281, 13773, 5483, 827, 519, 5767, 3354, 6937, 543, 1655, 2853, 585, 7863, 3054, 1996, 873, 269, 0, 11900, 728, 540, 513, 9855, 281, 1548, 568, 513, 9855, 17214, 540, 888, 763, 7599, 2627, 568, 1454, 811, 982, 1018, 519, 3750, 666, 1294, 269, 1879, 3168, 693, 938, 2067, 9682, 779, 2627, 689, 3047, 267, 596, 1522, 4952, 602, 621, 779, 8900, 543, 972, 779, 4986, 649, 666, 1265, 593, 713, 3046, 1066, 2627, 269, 1809, 649, 2907, 917, 621, 779, 711, 519, 2013, 269, 1403, 596, 1616, 547, 917, 1018, 568, 519, 9855, 1500, 540, 267, 1224, 2417, 543, 1174, 811, 827, 713, 18477, 1560, 602, 814, 19832, 8103, 585, 5553, 269, 18833, 811, 827, 1018, 779, 3330, 519, 9855, 568, 607, 1271, 607, 6616, 811, 827, 922, 2627, 563, 763, 1101, 3364, 547, 917, 267, 9855, 779, 4295, 1281, 2291, 267, 1932, 269, 3807, 899, 938, 4541, 267, 621, 814, 513, 12933, 267, 513, 25136, 267, 543, 513, 4295, 269, 1656, 713, 4295, 1522, 581, 11303, 676, 2571, 543, 10169, 5277, 25183, 4401, 269, 4706, 9018, 4295, 666, 8831, 2509, 519, 16538, 547, 607, 2484, 607, 476, 20542, 5195, 610, 476, 4335, 5998, 563, 2691, 3379, 547, 824, 18477, 4703, 267, 519, 16264, 4295, 568, 1152, 476, 736, 260, 540, 519, 3003, 9855, 269, 769, 824, 22586, 4703, 267, 713, 4295, 568, 909, 547, 476, 2004, 10065, 1656, 896, 519, 9855, 779, 12933, 267, 596, 666, 1265, 476, 30663, 5195, 610, 476, 272, 267, 1822, 5998, 5394, 12776, 14459, 563, 8368, 540, 12937, 454, 3674, 519, 9855, 513, 5182, 610, 513, 4224, 888, 2414, 1174, 811, 827, 519, 16264, 2627, 543, 1018, 568, 519, 9855, 1500, 540, 267, 621, 779, 1271, 547, 1101, 917, 1018, 519, 9855, 568, 269, 1677, 2253, 609, 267, 621, 568, 10691, 513, 5182, 269, 4634, 952, 621, 31438, 899, 782, 824, 6801, 856, 972, 267, 16264, 1769, 568, 538, 1249, 267, 519, 1769, 4947, 689, 519, 6129, 543, 10630, 689, 519, 16264, 2627, 563, 2252, 596, 1616, 547, 917, 1018, 779, 883, 519, 9855, 267, 3314, 602, 713, 18477, 1560, 666, 1406, 5337, 924, 3294, 899, 6801, 269, 1656, 2094, 519, 16264, 4295, 2760, 5337, 1243, 267, 621, 3112, 581, 1572, 513, 5182, 563, 763, 16264, 5888, 20998, 602, 540, 3047, 513, 2603, 269, 30803, 7725, 616, 1360, 1454, 899, 938, 3047, 569, 7725, 269, 4746, 267, 9855, 779, 6886, 616, 1360, 1454, 519, 1482, 607, 519, 6886, 593, 938, 4541, 269, 1717, 267, 16264, 6886, 15983, 723, 741, 3604, 689, 23600, 563, 2467, 568, 1100, 5790, 593, 519, 9855, 2901, 267, 865, 713, 18477, 1560, 3085, 1406, 1397, 1022, 10250, 540, 1272, 269, 5047, 267, 972, 568, 1100, 1216, 538, 922, 7725, 269, 1809, 1018, 519, 968, 13702, 344, 2427, 892, 540, 519, 9855, 6645, 721, 568, 602, 519, 16264, 2627, 568, 3504, 2443, 782, 519, 9634, 649, 1294, 593, 938, 9682, 7252, 616, 267, 1034, 2693, 267, 5222, 689, 2025, 14368, 2572, 563, 1432, 1826, 540, 4224, 568, 519, 9855, 1500, 540, 888, 5445, 616, 6140, 8407, 543, 7725, 269, 1306, 547, 1018, 2694, 540, 519, 9855, 649, 917, 827, 267, 922, 7293, 5888, 568, 1360, 2147, 547, 930, 2694, 540, 19026, 267, 9370, 267, 543, 22358, 563, 2791, 666, 917, 689, 2107, 321, 1388, 4653, 543, 824, 6325, 2959, 602, 9855, 779, 2627, 568, 4988, 538, 519, 1036, 14663, 269, 3204, 14663, 568, 513, 24120, 1500, 540, 5386, 4224, 5536, 602, 4268, 1063, 476, 1015, 543, 476, 4792, 3952, 610, 476, 274, 543, 476, 736, 544, 538, 3178, 269, 1924, 267, 29484, 28226, 779, 4583, 11640, 593, 519, 16264, 2627, 568, 538, 519, 1036, 14663, 563, 2005, 666, 581, 16609, 547, 4612, 782, 713, 1239, 267, 607, 519, 16264, 2627, 4523, 547, 581, 513, 12432, 11769, 3294, 269, 1656, 16264, 2175, 616, 711, 899, 2175, 593, 3047, 1317, 938, 9682, 3085, 1406, 723, 513, 11275, 14459, 563, 763, 11275, 14459, 11151, 3859, 2842, 689, 7263, 1746, 25756, 610, 824, 18219, 2609, 593, 519, 2627, 540, 513, 18477, 1560, 269, 1656, 1247, 1970, 16264, 8904, 2636, 811, 11275, 14459, 547, 26632, 622, 883, 9018, 2230, 267, 972, 779, 811, 540, 621, 21945, 607, 1134, 269, 898, 779, 849, 1271, 547, 4063, 602, 3875, 1558, 324, 832, 1764, 519, 16264, 2627, 593, 2458, 4575, 609, 621, 267, 1932, 563, 1432, 827, 519, 16264, 5790, 888, 3383, 519, 9855, 814, 513, 4295, 543, 513, 25136, 267, 1247, 922, 2627, 568, 4988, 538, 519, 1036, 14663, 267, 1577, 779, 1265, 856, 811, 827, 922, 5790, 269, 1411, 4440, 917, 602, 1281, 711, 2291, 267, 855, 1281, 621, 1611, 519, 16264, 2627, 814, 1100, 2011, 693, 782, 286, 4270, 267, 16264, 968, 1515, 892, 5161, 540, 5393, 4686, 30829, 16115, 540, 9362, 971, 607, 26775, 267, 25756, 267, 19440, 267, 543, 2415, 517, 563, 4322, 9362, 723, 1100, 1198, 593, 519, 9855, 3294, 543, 616, 711, 693, 782, 607, 10053, 607, 9362, 538, 938, 4541, 779, 5790, 269, 1656, 865, 267, 1272, 593, 519, 9855, 666, 1406, 581, 4376, 899, 1272, 593, 938, 4541, 269, 14755, 267, 519, 16264, 5790, 568, 9244, 1644, 547, 875, 9362, 13789, 593, 922, 2627, 269, 1656, 875, 4010, 798, 891, 9362, 13789, 593, 922, 2627, 888, 7712, 519, 16264, 2627, 3112, 11677, 1022, 3154, 267, 621, 3274, 13733, 9362, 883, 2230, 269, 901, 568, 849, 1946, 938, 2067, 9682, 3085, 1406, 11677, 1022, 540, 519, 6129, 779, 3002, 543, 814, 2837, 15088, 563, 2691, 796, 26569, 267, 519, 16264, 2627, 666, 3914, 476, 5611, 5232, 17622, 267, 6466, 267, 593, 922, 13566, 2427, 267, 621, 666, 3914, 476, 16328, 5232, 17622, 269, 1924, 267, 649, 9327, 1406, 16681, 513, 3802, 593, 519, 16264, 2627, 1510, 1697, 3937, 20471, 4166, 563, 4913, 267, 8103, 1869, 4566, 513, 9855, 2132, 269, 1284, 2907, 723, 519, 3203, 28087, 5692, 689, 8331, 538, 1646, 267, 543, 649, 1058, 2503, 547, 3935, 1125, 713, 9682, 19692, 2864, 982, 2663, 267, 2523, 1631, 602, 649, 917, 811, 827, 519, 16264, 2627, 543, 1018, 779, 3330, 540, 513, 9855, 269, 0, 2026, 513, 15690, 2575, 27423, 267, 621, 568, 7543, 547, 26777, 519, 1713, 7418, 1500, 676, 30683, 16026, 267, 835, 540, 519, 1034, 5499, 543, 9565, 15690, 12372, 540, 519, 476, 736, 628, 2540, 269, 30683, 16026, 267, 4535, 593, 2904, 476, 2918, 267, 476, 4572, 277, 267, 538, 1325, 2023, 267, 13325, 267, 729, 513, 25041, 2678, 267, 6512, 548, 14575, 267, 543, 21917, 945, 2451, 606, 30170, 1665, 593, 519, 1158, 540, 15690, 563, 9961, 1010, 4876, 267, 30683, 16026, 729, 693, 519, 21282, 540, 15690, 5647, 267, 11319, 519, 6302, 540, 519, 9135, 543, 4101, 519, 4567, 28943, 269, 1261, 729, 513, 22082, 540, 1110, 531, 15690, 267, 513, 2511, 6353, 676, 922, 946, 540, 7574, 12331, 3079, 540, 16147, 3356, 687, 267, 799, 5795, 12372, 811, 5191, 547, 27906, 1047, 543, 2263, 1007, 512, 4689, 885, 269, 3571, 19506, 17581, 267, 834, 30747, 540, 9791, 2437, 5950, 538, 476, 4198, 280, 267, 568, 4922, 9833, 607, 835, 540, 519, 6574, 15690, 11549, 4548, 540, 782, 942, 543, 568, 1869, 6594, 543, 900, 4327, 676, 12372, 2221, 563, 1103, 1840, 547, 1010, 7418, 547, 519, 1646, 540, 15690, 267, 30683, 16026, 729, 849, 1634, 585, 1010, 21769, 609, 930, 540, 519, 1034, 16805, 12372, 540, 1010, 942, 269, 1261, 5249, 609, 17691, 971, 607, 3627, 2051, 339, 8735, 267, 4173, 29560, 670, 4545, 1442, 267, 31722, 1744, 7163, 267, 543, 25414, 13879, 267, 547, 2012, 1175, 513, 1906, 267, 543, 1010, 3310, 666, 1869, 581, 4862, 538, 519, 2575, 540, 4207, 15690, 5159, 563, 300, 3796, 16026, 262, 1764, 593, 519, 1158, 540, 15690, 3112, 581, 936, 26061, 267, 543, 1010, 9371, 5170, 547, 8300, 543, 3310, 12372, 2221, 269, 3571, 5499, 1935, 547, 2575, 543, 1010, 18515, 547, 1491, 4220, 543, 4603, 609, 1007, 4992, 543, 6163, 723, 2451, 606, 30170, 1665, 593, 15690, 267, 543, 1010, 7418, 547, 519, 9135, 786, 3136, 547, 581, 9976, 543, 6594, 585, 5481, 547, 2097, 563, 13126, 281, 834, 300, 3796, 16026, 1701, 22335, 2593, 267, 589, 261, 292, 27657, 17978, 267, 476, 1626, 4873, 476, 1001, 277, 267, 4179, 2517, 4178, 269, 6798, 2762, 2593, 8276, 639, 6509, 8276, 3796, 1673, 32713, 269, 0, 19370, 20409, 12542, 281, 898, 781, 2353, 6168, 519, 11020, 454, 9336, 1126, 543, 2937, 786, 7237, 835, 7411, 610, 1776, 1644, 547, 6104, 5109, 4247, 267, 7829, 17140, 267, 10188, 1514, 5872, 267, 610, 19048, 630, 1729, 2012, 513, 1906, 1040, 1452, 2835, 1683, 1382, 2861, 3435, 10483, 676, 4052, 267, 2653, 3562, 21553, 921, 618, 2238, 543, 6114, 547, 5512, 1483, 543, 4264, 2242, 538, 8456, 543, 5615, 563, 263, 763, 6700, 2238, 267, 950, 4121, 543, 13736, 9846, 267, 786, 1267, 538, 968, 516, 2914, 3931, 892, 519, 2634, 998, 519, 3157, 1634, 607, 5778, 27415, 640, 267, 994, 263, 8923, 4063, 952, 519, 2042, 540, 6161, 616, 3978, 267, 1279, 29280, 267, 610, 798, 711, 4431, 547, 519, 7459, 3177, 267, 596, 1058, 1865, 873, 609, 707, 1126, 779, 3119, 1416, 10629, 8094, 288, 14262, 1007, 1620, 540, 1453, 781, 2623, 3091, 5813, 543, 2994, 547, 1489, 3237, 543, 1453, 269, 3683, 1200, 5756, 607, 513, 4791, 18673, 267, 3220, 269, 3933, 320, 5548, 1695, 5622, 651, 814, 5280, 9118, 1253, 571, 9853, 3237, 945, 6560, 547, 4383, 741, 1453, 781, 4101, 5615, 269, 1452, 3885, 616, 1174, 2406, 5059, 593, 31925, 610, 5355, 513, 1126, 781, 3668, 540, 10220, 267, 3929, 856, 10767, 7370, 267, 21915, 337, 4548, 267, 543, 824, 1412, 719, 6361, 20820, 2623, 269, 1809, 2623, 267, 1100, 2339, 875, 4101, 267, 568, 711, 519, 1966, 855, 513, 10835, 267, 513, 23319, 827, 1018, 4523, 538, 513, 1126, 781, 2189, 12214, 17539, 563, 1103, 11020, 5174, 1328, 9977, 532, 267, 3220, 269, 5548, 1695, 5622, 651, 3091, 513, 9097, 1007, 1935, 547, 15970, 1759, 593, 513, 1184, 602, 15109, 519, 3003, 8401, 1062, 781, 1898, 1909, 538, 6721, 1453, 781, 4606, 543, 5615, 563, 2691, 649, 2253, 547, 1174, 519, 7350, 9944, 519, 2623, 267, 5267, 3220, 269, 5548, 1695, 5622, 651, 267, 649, 2285, 938, 1453, 519, 2200, 789, 991, 547, 1332, 543, 8853, 269, 1284, 2285, 6000, 519, 10516, 540, 513, 18668, 267, 811, 4448, 2078, 609, 873, 269, 11020, 5174, 1328, 9977, 532, 16877, 3237, 609, 2645, 547, 948, 741, 1453, 1020, 1582, 30625, 1983, 1247, 8716, 15366, 1582, 13282, 269, 634, 1267, 568, 513, 4514, 1620, 540, 707, 1126, 267, 8716, 1608 ]

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

[ 0, 258, 2052, 513, 30866, 723, 476, 275, 1318, 7285, 2496, 6944, 757, 692, 13295, 519, 1318, 30866, 568, 513, 23756, 29105, 543, 814, 1079, 6587, 1318, 7285, 269, 2560, 769, 513, 8126, 1113, 29105, 630, 821, 609, 606, 1651, 22511, 1070, 519, 2185, 1899, 12415, 1063, 519, 4099, 540, 519, 1651, 22511, 543, 519, 2798, 1141, 621, 568, 17242, 547, 519, 29105, 15652, 519, 29105, 883, 2185, 1318, 737, 2572, 780, 1012, 6496, 513, 30866, 2141, 723, 476, 275, 1318, 7285, 2496, 1103, 28070, 9511, 267, 513, 30866, 568, 513, 29105, 4171, 2185, 5011, 666, 581, 19882, 883, 1079, 8424, 540, 3160, 27480, 5011, 602, 616, 11105, 547, 1142, 824, 780, 291, 783, 3601, 780, 3674, 30801, 25671, 1355, 918, 924, 454, 3080, 6292, 540, 3160, 6587, 5011, 2290, 6292, 540, 3160, 6587, 7285, 692, 1012, 1548, 2141, 814, 476, 275, 1318, 7285, 2496, 288, 4009, 568, 835, 540, 519, 1034, 2596, 12166, 5546, 269, 898, 568, 513, 2027, 2013, 540, 513, 25521, 602, 814, 2185, 21412, 5011, 543, 2185, 1318, 7285, 269, 589, 4009, 568, 849, 513, 13551, 1317, 621, 814, 1079, 5036, 540, 6252, 5011, 543, 2185, 1318, 7285, 269, 589, 4009, 568, 849, 513, 25521, 1317, 922, 6587, 5011, 616, 6252, 780, 1012, 6496, 513, 30866, 723, 476, 275, 15174, 2496, 288, 29105, 267, 849, 1572, 513, 30866, 267, 568, 513, 20372, 602, 814, 2185, 5011, 269, 769, 1931, 547, 1106, 2185, 15174, 540, 513, 30866, 267, 2185, 2798, 593, 519, 7077, 1590, 581, 968, 785, 8817, 892, 780, 1012, 6496, 513, 30866, 723, 513, 1318, 5086, 8786, 610, 1100, 2496, 5591, 267, 621, 568, 711, 3622, 865, 269, 589, 13551, 610, 513, 4009, 568, 711, 513, 30866, 1498, 519, 6587, 7285, 616, 476, 3445, 5232, 269, 589, 30866, 814, 519, 1739, 3601, 281, 8307, 835, 6292, 540, 6587, 7285, 1590, 581, 3160, 780, 1012, 1215, 1082, 7285, 1281, 30866, 723, 2496, 5591, 267, 513, 30866, 814, 1152, 835, 6292, 540, 3160, 7285, 269, 634, 1448, 693, 799, 519, 1079, 8424, 540, 21376, 5011, 2743, 2306, 1079, 7285, 602, 616, 6587, 547, 1142, 824, 269, 1452, 1079, 6587, 7285, 616, 3160, 538, 513, 30866, 780, 1012, 1548, 616, 519, 476, 275, 3601, 540, 513, 30866, 2496, 298, 924, 3601, 1331, 630, 272, 264, 1079, 8424, 540, 15654, 267, 21412, 5011, 267, 630, 273, 264, 21412, 1875, 268, 591, 23753, 7285, 543, 630, 274, 264, 13902, 32377, 269, 4033, 1271, 20372, 3601, 547, 581, 5432, 609, 1331, 25671, 1355, 3601, 267, 25521, 3601, 267, 32077, 639, 3601, 267, 543, 13551, 543, 4009, 3601, 780, 1012, 1684, 782, 9076, 559, 831, 1023, 723, 476, 275, 1318, 7285, 2496, 1103, 9511, 267, 513, 29105, 568, 513, 20372, 609, 2185, 5011, 610, 8728, 269, 1703, 616, 1896, 29977, 602, 2671, 519, 4162, 540, 513, 29105, 269, 1717, 267, 1247, 693, 2547, 3670, 5546, 666, 581, 2808, 9076, 559, 831, 1023, 267, 1152, 1079, 723, 2185, 1318, 7285, 2443, 25965, 543, 10945, 780, 1012, 2052, 513, 25671, 1355, 723, 476, 275, 1318, 7285, 2496, 288, 25671, 1355, 666, 723, 2901, 476, 273, 1318, 7285, 267, 610, 1100, 1318, 7285, 693, 782, 780, 1012, 2052, 9076, 559, 831, 1023, 723, 476, 275, 1073, 339, 2224, 7285, 2496, 288, 29105, 3112, 723, 2185, 1073, 339, 2224, 7285, 269, 2560, 4595, 606, 1073, 339, 2224, 5086, 3800, 3152, 982, 476, 3445, 5232, 267, 952, 972, 941, 2185, 540, 873, 538, 835, 29105, 267, 519, 2040, 540, 519, 3800, 540, 519, 7285, 1131, 581, 3152, 982, 476, 11740, 5232, 269, 901, 568, 711, 2009, 780, 1012, 1772, 513, 30866, 513, 4009, 8786, 610, 1100, 2496, 15008, 281, 589, 30866, 568, 513, 29105, 630, 27917, 521, 3660, 3337, 264, 1141, 519, 2185, 5011, 666, 581, 19882, 883, 1079, 8424, 540, 11105, 630, 10113, 547, 270, 8588, 264, 5011, 602, 616, 3160, 3259, 269, 2560, 1403, 782, 5011, 616, 3160, 267, 543, 782, 7285, 540, 519, 29105, 616, 3160, 267, 1287, 649, 723, 513, 4009, 780, 2562, 9898, 2464, 16249, 281, 1109, 16797, 8382, 281, 2052, 596, 6607, 323, 633, 609, 513, 2915, 2496, 1012, 1215, 1082, 6252, 5011, 1281, 513, 30866, 723, 2496, 298, 2572, 723, 1100, 6252, 5011, 267, 855, 789, 798, 723, 21412, 5011, 269, 918, 2572, 616, 3989, 676, 1079, 8424, 540, 21412, 5011, 602, 616, 11105, 547, 1142, 824, 267, 3079, 540, 6587, 1142, 824, 780, 1012, 2052, 513, 30866, 723, 4010, 1079, 1318, 7285, 4208, 2496, 288, 30866, 814, 1079, 15654, 5011, 21412, 269, 634, 5086, 1063, 891, 1079, 5011, 1223, 581, 513, 1318, 5086, 267, 855, 972, 1131, 1152, 581, 835, 1318, 5086, 538, 519, 30866, 780, 1012, 1215, 1082, 14622, 1281, 513, 30866, 723, 2496, 288, 30866, 814, 1079, 13902, 9703, 32377, 269, 2290, 15497, 568, 7466, 519, 3259, 540, 519, 824, 15497, 269, 634, 2698, 1858, 540, 519, 30866, 568, 1547, 0, 258, 17832, 2243, 692, 2971, 3765, 690, 2106, 2065, 325, 655, 21442, 692, 338, 9876, 585, 692, 6523, 476, 274, 343, 284, 7562, 476, 273, 343, 692, 6748, 14911, 7285, 543, 782, 1775, 3893, 13672, 284, 273, 343, 780, 763, 3364, 568, 267, 952, 1775, 3893, 13672, 476, 273, 343, 689, 5609, 11201, 267, 519, 2489, 4542, 1131, 581, 692, 11377, 9064, 284, 562, 1422, 7032, 1341, 11196, 272, 8203, 333, 1422, 10401, 9681, 328, 1205, 1945, 899, 10484, 810, 267, 2807, 1492, 1966, 568, 602, 1775, 786, 723, 1535, 538, 519, 2489, 1106, 783, 320, 267, 1945, 1775, 1810, 1405, 1616, 780, 296, 1589, 1250, 1259, 540, 3257, 621, 568, 11207, 4636, 267, 666, 4896, 948, 286, 285, 692, 321, 13512, 267, 1775, 917, 602, 1775, 666, 946, 17784, 543, 5595, 5086, 4542, 267, 855, 1775, 4312, 849, 1044, 6026, 602, 538, 951, 532, 521, 1149, 1312, 5011, 1131, 849, 960, 267, 855, 1775, 4312, 16618, 875, 547, 798, 621, 269, 8729, 780, 8310, 12995, 912, 16665, 13823, 2563, 8212, 14581, 5240, 593, 4284, 3820, 692, 2971, 32609, 614, 857, 984, 344, 692, 29094, 4477, 704, 454, 296, 9364, 2328, 692, 11377, 6523, 476, 274, 343, 7807, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 264, 9681, 663, 1287, 692, 11377, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 9984, 315, 7562, 476, 273, 343, 815, 271, 9681, 663, 1287, 1775, 9364, 946, 513, 4645, 269, 1211, 640, 543, 1439, 909, 609, 476, 273, 2241, 552, 336, 985, 780, 25405, 1408, 780, 2971, 5923, 1042, 345, 692, 11039, 267, 607, 596, 521, 746, 917, 10484, 2330, 7562, 315, 10401, 284, 6523, 7268, 2765, 3189, 7032, 2410, 273, 32757, 10401, 264, 9681, 2330, 7562, 263, 273, 315, 10401, 6661, 7562, 7268, 2765, 3189, 7032, 2410, 273, 18511, 274, 315, 10401, 264, 9681, 2521, 621, 713, 1259, 13718, 2971, 5923, 1042, 345, 692, 2005, 4667, 649, 723, 11540, 693, 519, 1482, 942, 2433, 2020, 1415, 3118, 594, 9327, 1405, 1205, 1919, 883, 692, 11377, 7562, 13375, 263, 274, 343, 10954, 2765, 3189, 7032, 2410, 273, 4153, 2431, 9984, 315, 7562, 476, 273, 343, 815, 271, 9681, 5804, 1018, 594, 723, 2854, 972, 616, 1152, 1079, 7399, 269, 23657, 692, 2330, 273, 315, 10401, 7807, 2765, 3189, 7032, 2410, 273, 15732, 528, 692, 2330, 273, 315, 10401, 7807, 7032, 268, 7268, 2765, 3189, 7032, 2410, 273, 18511, 274, 315, 10401, 14638, 780, 28646, 596, 5921, 1175, 519, 1482, 855, 594, 4769, 1405, 1589, 789, 1223, 581, 519, 1482, 13718, 2971, 521, 1342, 9618, 628, 692, 29094, 4477, 704, 454, 20112, 16588, 454, 11377, 7562, 476, 273, 343, 815, 1422, 6523, 476, 274, 343, 9681, 2330, 27784, 1422, 6523, 22570, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 264, 815, 1422, 6523, 476, 274, 343, 9681, 2330, 27784, 1422, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 815, 476, 273, 333, 1422, 7032, 1341, 476, 274, 343, 910, 296, 9681, 528, 692, 11377, 2765, 3189, 7032, 2410, 273, 348, 910, 476, 273, 343, 815, 476, 273, 333, 1422, 7032, 910, 476, 274, 343, 910, 4083, 9681, 5804, 713, 596, 666, 4194, 585, 519, 6240, 1871, 540, 1535, 676, 8380, 562, 607, 476, 271, 538, 594, 780, 300, 692, 2971, 1319, 3559, 867, 692, 30750, 5609, 20572, 316, 11224, 5430, 314, 3445, 14870, 3910, 810, 538, 713, 2013, 5609, 314, 273, 343, 316, 11224, 5430, 314, 3445, 268, 273, 343, 4940, 810, 1226, 622, 5430, 314, 274, 343, 316, 547, 5430, 314, 3445, 268, 273, 343, 4940, 9767, 1058, 1205, 476, 1240, 1775, 7058, 692, 2162, 8212, 1280, 4548, 18880, 692, 2171, 10025, 10866, 454, 1892, 11762, 1759, 593, 13416, 2257, 454, 1892, 7743, 2296, 8239, 543, 10259, 454, 2171, 10025, 595, 643, 1006, 454, 1892, 15474, 543, 17519, 8456, 454, 1892, 4793, 1466, 1247, 3181, 908, 454, 2171, 10025, 8605, 2032, 454, 1892, 2598, 4184, 1441, 547, 2611, 593, 2389, 8084, 454, 1892, 23779, 540, 1378, 12755, 454, 1892, 3752, 334, 543, 1071, 19945, 1966, 6061, 0, 258, 11822, 7502, 1707, 24544, 692, 763, 6895, 781, 11282, 2230, 780, 296, 4076, 2938, 1082, 1004, 588, 22824, 936, 16580, 7020, 585, 3756, 269, 898, 779, 513, 3787, 7294, 547, 2491, 267, 865, 594, 23125, 594, 8910, 1118, 835, 2376, 594, 1223, 3095, 547, 780, 5575, 267, 1174, 707, 11282, 2230, 269, 630, 271, 267, 476, 271, 264, 568, 519, 1283, 268, 3847, 540, 519, 6895, 269, 1677, 519, 1318, 267, 2473, 4679, 269, 24613, 1524, 267, 962, 4679, 269, 630, 271, 267, 476, 272, 264, 568, 1524, 689, 630, 271, 267, 476, 271, 1040, 630, 272, 267, 476, 271, 264, 568, 1318, 540, 630, 271, 267, 476, 271, 1040, 898, 779, 1271, 547, 3314, 713, 1317, 596, 2461, 2469, 547, 723, 547, 798, 476, 273, 291, 9511, 538, 713, 11282, 2230, 780, 1432, 1281, 621, 1611, 585, 1079, 3615, 547, 2458, 728, 286, 634, 14724, 1106, 540, 16580, 7020, 13000, 782, 3615, 607, 25965, 543, 16976, 602, 1079, 3615, 2458, 728, 952, 741, 25965, 5905, 610, 16937, 780, 2414, 3313, 952, 1079, 25965, 2458, 728, 267, 596, 723, 547, 723, 513, 1259, 547, 2099, 873, 269, 1703, 779, 1082, 2081, 547, 1413, 693, 513, 13551, 267, 543, 1547, 25892, 3947, 596, 3601, 547, 1489, 782, 540, 873, 1384, 1892, 589, 1448, 602, 4564, 519, 1283, 268, 3847, 7944, 267, 513, 8700, 267, 543, 513, 4463, 563, 1892, 589, 1448, 602, 4564, 519, 1283, 268, 3847, 7944, 543, 513, 1448, 602, 4564, 519, 5377, 28878, 7944, 563, 1892, 9050, 9981, 602, 2099, 519, 1535, 11282, 540, 519, 2451, 2427, 267, 519, 586, 11282, 540, 519, 1283, 2427, 267, 519, 1535, 11282, 540, 519, 1318, 2427, 267, 543, 519, 586, 11282, 540, 519, 5377, 2427, 269, 630, 1607, 568, 1634, 607, 700, 15045, 289, 585, 968, 3847, 267, 1283, 267, 1318, 267, 5377, 24355, 8253, 566, 1031, 547, 3277, 547, 1142, 13551, 780, 2691, 3257, 16580, 2979, 267, 594, 4043, 547, 960, 609, 519, 700, 15045, 289, 1106, 269, 1879, 5373, 25965, 267, 594, 4782, 519, 1079, 15304, 1106, 269, 1280, 519, 5301, 540, 4901, 267, 1413, 693, 519, 3239, 547, 1294, 519, 4408, 594, 3580, 946, 585, 1142, 13551, 538, 16580, 7020, 269, 13298, 982, 2119, 547, 535, 1497, 609, 2473, 272, 267, 2473, 273, 267, 2473, 274, 267, 2473, 275, 267, 594, 3580, 3277, 547, 519, 10974, 540, 519, 476, 273, 526, 13551, 607, 2473, 272, 12664, 630, 1348, 968, 1815, 802, 835, 6305, 14615, 547, 5815, 621, 779, 10974, 540, 513, 1114, 13551, 269, 594, 849, 23064, 875, 700, 15045, 289, 7851, 547, 713, 267, 543, 3769, 875, 596, 8910, 1205, 8700, 543, 4463, 269, 594, 786, 581, 14322, 602, 2473, 272, 3436, 2473, 273, 267, 962, 272, 3436, 962, 273, 267, 543, 865, 8521, 282, 952, 596, 1810, 1406, 3180, 1346, 3652, 713, 2979, 4991, 1454, 811, 16602, 269, 594, 786, 1931, 782, 540, 1250, 1806, 547, 946, 2999, 585, 519, 6476, 1317, 1919, 1131, 581, 811, 14845, 6382, 269, 3733, 1806, 2154, 16937, 585, 513, 16580, 282, 952, 596, 1616, 547, 723, 15700, 3615, 2458, 728, 5372, 1250, 2999, 609, 10922, 780, 9928, 523, 926, 657, 585, 8880, 16580, 780, 3086, 649, 723, 547, 2911, 827, 782, 519, 2009, 2081, 25965, 1223, 2458, 728, 609, 1142, 824, 269, 2913, 779, 2911, 8880, 7653, 1101, 269, 634, 2592, 327, 3298, 519, 2185, 7653, 282, 594, 5916, 873, 883, 1079, 2592, 2094, 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, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1804, 20085, 5835, 1957, 1286, 834, 536, 834, 1804, 1957, 5835, 20085, 1286, 834, 15017, 288, 281, 513, 0, 9223, 281, 1977, 11910, 534, 18237, 1188, 2284, 781, 3134, 7716, 3585, 3957, 1062, 2968, 513, 1655, 5498, 29818, 630, 2735, 271, 338, 268, 1220, 271, 338, 264, 1433, 23218, 8721, 29929, 538, 1018, 9135, 888, 12585, 281, 8516, 0, 9223, 281, 5272, 942, 606, 9550, 20061, 1472, 267, 1004, 1616, 547, 917, 1018, 1142, 11134, 781, 18879, 568, 593, 519, 2152, 602, 616, 1271, 547, 873, 269, 769, 14045, 799, 11134, 296, 342, 656, 547, 8917, 585, 267, 972, 616, 1079, 1292, 2152, 585, 803, 281, 1492, 4346, 543, 2069, 269, 476, 1452, 2152, 616, 1271, 547, 803, 1317, 789, 1860, 803, 519, 1034, 1318, 1631, 269, 634, 4346, 5540, 3025, 25467, 2069, 568, 1271, 1317, 594, 993, 827, 547, 4283, 2852, 269, 1879, 594, 6743, 693, 875, 1142, 11134, 5784, 891, 2152, 267, 835, 812, 11542, 856, 547, 803, 25467, 602, 568, 14891, 11134, 4446, 871, 15525, 269, 476, 594, 899, 513, 1556, 540, 27737, 15525, 781, 2093, 585, 5355, 519, 4346, 269, 1261, 6499, 547, 3142, 519, 10136, 1753, 689, 12925, 267, 11004, 2421, 9494, 519, 1269, 1321, 5479, 649, 6108, 972, 1169, 3923, 269, 6271, 1448, 602, 15525, 2306, 568, 602, 519, 2136, 2276, 262, 1699, 1648, 3609, 568, 9292, 1154, 519, 4346, 269, 1261, 11099, 602, 952, 1007, 1648, 12014, 616, 5293, 267, 621, 786, 948, 519, 772, 269, 590, 269, 1205, 856, 540, 922, 1699, 2804, 1793, 2794, 25467, 594, 3858, 269, 2060, 891, 2093, 543, 2994, 267, 594, 9244, 3494, 602, 15525, 666, 2087, 519, 1699, 1533, 540, 519, 4346, 269, 476, 15525, 849, 814, 513, 1544, 547, 2087, 2069, 269, 1261, 11099, 602, 649, 991, 547, 1376, 18997, 1453, 693, 513, 1762, 2085, 269, 1261, 849, 13922, 547, 2673, 519, 7934, 540, 9740, 1063, 1053, 267, 799, 1797, 5355, 3506, 602, 991, 948, 269, 1261, 6499, 547, 2628, 3610, 811, 543, 1521, 873, 899, 4648, 267, 8117, 538, 5385, 646, 7125, 585, 2362, 5539, 269, 476, 15525, 849, 814, 513, 1544, 547, 1118, 2852, 811, 10097, 269, 1261, 6499, 1857, 12621, 547, 581, 1863, 585, 1053, 945, 2226, 513, 834, 289, 257, 3328, 1282, 1164, 1153, 269, 1656, 646, 4566, 547, 2285, 513, 1269, 275, 267, 1822, 3454, 5491, 585, 2852, 543, 6280, 1053, 945, 2347, 476, 1911, 3108, 540, 2146, 3028, 1142, 1032, 269, 594, 3494, 891, 2093, 547, 2087, 2069, 616, 1434, 2614, 543, 786, 948, 1082, 1053, 269, 476, 4475, 267, 972, 568, 1100, 3476, 1022, 8969, 538, 1250, 2247, 945, 786, 581, 8391, 1250, 8917, 281, 4446, 871, 15525, 269, 1548, 781, 519, 1292, 2856, 540, 519, 8574, 888, 288, 269, 1977, 4346, 1058, 1020, 3533, 454, 289, 269, 15525, 781, 1007, 1272, 607, 7022, 454, 290, 269, 1215, 547, 3094, 606, 9550, 454, 291, 269, 4208, 594, 8917, 585, 15525, 454, 12585, 281, 667, 0, 9223, 281, 1452, 2395, 267, 594, 6415, 14281, 693, 1018, 1250, 15032, 723, 4957, 2094, 1153, 3323, 269, 898, 781, 711, 1175, 519, 1007, 3610, 267, 1007, 5656, 267, 610, 1007, 3652, 269, 594, 849, 5469, 875, 1004, 616, 19703, 8335, 269, 667, 7675, 568, 711, 1175, 513, 3903, 547, 1832, 3636, 269, 898, 781, 849, 513, 2635, 2123, 3903, 538, 865, 1082, 2081, 269, 667, 816, 3652, 281, 3509, 3506, 723, 10571, 3652, 269, 1358, 2995, 1053, 1018, 547, 5957, 693, 1153, 269, 634, 3610, 1810, 1405, 4126, 547, 1294, 741, 1053, 5957, 5667, 340, 3386, 9660, 538, 519, 4928, 269, 476, 9041, 2433, 634, 1259, 649, 10571, 2982, 519, 1259, 649, 1745, 827, 6000, 269, 1403, 649, 5749, 1405, 8746, 610, 991, 6266, 540, 3007, 267, 649, 3513, 1419, 10571, 538, 2081, 602, 948, 721, 1205, 602, 3007, 269, 1403, 596, 1616, 547, 1205, 3007, 538, 513, 2635, 1259, 267, 596, 1810, 1405, 991, 547, 10571, 538, 606, 4277, 1259, 547, 2769, 707, 2247, 269, 10610, 3239, 2433, 1403, 930, 3214, 1413, 1360, 3983, 610, 30299, 267, 19703, 5265, 476, 666, 3382, 873, 269, 1656, 621, 666, 849, 948, 873, 1745, 4190, 543, 6899, 1851, 741, 2828, 269, 9861, 1018, 596, 5957, 281, 667, 7675, 568, 1271, 269, 667, 7675, 538, 513, 4636, 1259, 666, 1118, 1004, 12161, 596, 269, 4658, 899, 547, 9794, 2687, 547, 1018, 789, 1294, 269, 1849, 5847, 666, 1419, 2285, 1004, 513, 4636, 2856, 269, 634, 5856, 5267, 602, 1053, 1058, 5957, 9660, 538, 519, 1318, 1259, 476, 9041, 476, 4586, 288, 269, 547, 948, 873, 1745, 6899, 454, 289, 269, 547, 1831, 4583, 454, 290, 269, 547, 3382, 741, 3983, 6208, 454, 291, 269, 547, 2057, 476, 1373, 19451, 454, 12585, 281, 667, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21487, 1434, 6117, 17180, 834, 536, 834, 1434, 21487, 6117, 17180, 834, 15017, 288, 281, 536, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5545, 3339, 20695, 4017, 1120, 20199, 21083, 6474, 834, 536, 834, 3339, 20695, 21083, 5545, 4017, 1120, 20199, 6474, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 299, 1075, 344, 4941, 547, 723, 606, 9205, 5428, 713, 1032, 855, 1352, 13603, 519, 1187, 4099, 936, 519, 1216, 6288, 1317, 1352, 7948, 1405, 1205, 16741, 693, 519, 1216, 6288, 1547, 0, 9824, 725, 4721, 281, 1215, 547, 13622, 909, 609, 513, 8004, 693, 513, 3046, 269, 6657, 1434, 9882, 543, 25462, 269, 10558, 707, 1034, 10694, 1582, 676, 8026, 1434, 9882, 543, 25462, 269, 6875, 513, 3905, 17643, 267, 2511, 707, 4552, 267, 16013, 707, 581, 731, 610, 695, 1511, 630, 604, 2556, 1070, 543, 2322, 593, 524, 860, 928, 269, 8347, 711, 547, 12235, 593, 1932, 1454, 524, 860, 928, 267, 607, 519, 11566, 9329, 949, 2490, 1055, 1761, 7389, 693, 519, 3046, 907, 7994, 513, 3046, 602, 786, 723, 513, 2362, 10171, 540, 2582, 2021, 269, 0, 11764, 334, 281, 898, 2982, 513, 4605, 540, 22256, 24636, 544, 19376, 1932, 269, 1703, 781, 513, 8470, 540, 1004, 9361, 538, 513, 18638, 6158, 827, 519, 2680, 269, 1358, 616, 2542, 513, 7097, 543, 28617, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 9764, 15337, 1014, 15454, 1286, 834, 536, 834, 9764, 15454, 15337, 1014, 1286, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645 ]

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

[ 267, 519, 2462, 23825, 2754, 269, 834, 4517, 594, 1589, 824, 12820, 2671, 602, 2070, 4799, 763, 25954, 3350, 568, 1869, 538, 513, 1360, 2038, 3942, 269, 6004, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 723, 1152, 1175, 18084, 519, 1899, 689, 5859, 14767, 547, 2962, 269, 1358, 1705, 865, 2063, 3018, 1282, 519, 4832, 5870, 540, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 10324, 14643, 538, 9628, 269, 28818, 31489, 1633, 267, 1279, 606, 12167, 540, 519, 4567, 28943, 267, 18005, 19622, 607, 7022, 267, 7142, 856, 676, 519, 2604, 585, 1689, 269, 6004, 269, 5213, 1695, 826, 267, 1010, 23122, 2389, 516, 5501, 337, 267, 2968, 519, 954, 574, 7022, 267, 2394, 519, 5239, 16232, 9550, 267, 543, 3576, 2185, 3268, 4724, 1689, 563, 763, 1101, 3238, 519, 25696, 269, 1261, 8149, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 547, 5555, 6108, 1269, 736, 2929, 513, 1032, 593, 12180, 267, 909, 689, 1269, 274, 2929, 2221, 269, 2334, 568, 606, 3750, 2275, 10248, 6521, 538, 2200, 585, 606, 3919, 609, 513, 1269, 2568, 2929, 6578, 269, 1403, 621, 1568, 267, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 1131, 1831, 519, 6117, 3196, 538, 16461, 1746, 4600, 883, 18787, 267, 513, 4305, 1631, 2451, 547, 519, 1367, 18787, 269, 1809, 1018, 824, 1259, 568, 972, 547, 10891, 513, 2754, 899, 9546, 5336, 691, 267, 609, 5520, 3262, 2066, 8637, 538, 1169, 1533, 267, 610, 519, 24819, 2694, 15670, 602, 3761, 519, 2462, 10081, 9755, 563, 10454, 1883, 568, 519, 4336, 2437, 1767, 9400, 645, 839, 5424, 267, 10324, 8689, 540, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 5029, 1944, 4659, 269, 834, 763, 4305, 814, 20335, 3564, 1018, 1022, 1367, 9769, 666, 798, 4799, 19741, 12180, 267, 6004, 269, 5213, 1695, 826, 5833, 689, 519, 10324, 14643, 267, 585, 519, 1101, 942, 267, 519, 6392, 585, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 547, 1118, 1100, 29027, 12029, 2698, 532, 1269, 272, 2929, 547, 18787, 593, 10880, 543, 4881, 856, 540, 2724, 547, 2628, 741, 4174, 24329, 269, 1261, 849, 3261, 730, 2724, 547, 5721, 476, 4335, 2199, 9769, 1004, 547, 581, 2797, 15156, 4534, 9301, 267, 538, 1198, 267, 519, 10480, 3130, 781, 5821, 607, 513, 25211, 626, 538, 6115, 267, 1141, 621, 814, 1044, 8572, 547, 3094, 9086, 602, 1131, 10238, 527, 519, 946, 540, 10682, 4600, 538, 16716, 610, 1780, 12014, 602, 1131, 1118, 12180, 4443, 563, 763, 1445, 568, 1631, 547, 6521, 547, 519, 4872, 543, 2829, 269, 634, 4126, 568, 602, 2199, 9769, 2818, 267, 1631, 7361, 12809, 538, 9550, 11044, 267, 666, 581, 5828, 883, 18512, 989, 527, 2209, 585, 610, 1996, 2818, 540, 6837, 269, 1358, 1131, 1831, 267, 538, 6004, 269, 5213, 1695, 826, 781, 1913, 267, 834, 1492, 1034, 3532, 3723, 7980, 540, 519, 3003, 21146, 1184, 4799, 7661, 267, 6004, 269, 5213, 1695, 826, 1305, 909, 513, 12233, 267, 609, 5128, 543, 6004, 269, 590, 1048, 5674, 607, 1071, 7302, 1515, 5443, 267, 547, 2721, 909, 676, 2038, 2887, 513, 11556, 547, 2847, 2086, 519, 10480, 3130, 781, 12044, 10324, 14643, 269, 634, 2856, 568, 547, 1331, 811, 2021, 267, 607, 1134, 607, 3109, 543, 17104, 9769, 3401, 269, 6468, 543, 18441, 616, 2673, 547, 1196, 3101, 856, 3043, 9038, 607, 513, 5354, 540, 782, 9769, 2818, 269, 1809, 519, 14643, 568, 1869, 13856, 676, 3043, 5256, 9769, 27504, 563, 1103, 782, 713, 1166, 25744, 540, 2534, 267, 6004, 269, 5213, 1695, 826, 2501, 2066, 607, 519, 1651, 3518, 550, 267, 1869, 4857, 609, 519, 476, 1626, 4458, 31489, 1633, 5736, 267, 1282, 799, 9769, 15376, 4682, 883, 14869, 7771, 269, 634, 1202, 4026, 757, 11319, 23698, 585, 1689, 723, 1178, 10903, 730, 547, 6004, 269, 590, 1048, 5674, 267, 4171, 1175, 8242, 3760, 11368, 1034, 540, 519, 18747, 2322, 8521, 513, 1906, 2395, 2663, 676, 6004, 269, 5213, 1695, 826, 563, 6781, 913, 782, 267, 519, 590, 1048, 5674, 18793, 267, 538, 6158, 909, 741, 11134, 267, 1448, 547, 1010, 9740, 607, 7022, 540, 519, 6796, 31740, 4139, 5742, 2094, 476, 2735, 271, 269, 7216, 593, 267, 646, 28520, 2200, 883, 12180, 267, 543, 15376, 538, 1010, 9769, 8057, 267, 11369, 532, 519, 3084, 7678, 563, 22746, 7440, 1832, 6004, 269, 5213, 1695, 826, 5577, 4771, 269, 834, 10144, 2161, 602, 590, 1048, 5674, 814, 519, 9550, 19526, 909, 2437, 646, 1767, 267, 14344, 602, 6004, 269, 590, 1048, 5674, 814, 2614, 15518, 622, 16018, 26823, 3022, 547, 1864, 1631, 547, 3094, 519, 3440, 7627, 693, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 9538, 338, 5239, 15007, 538, 1715, 3840, 269, 834, 3719, 1810, 1405, 23868, 519, 7872, 602, 1250, 2773, 607, 954, 574, 7022, 666, 1689, 513, 2603, 540, 8186, 4799, 28646, 269, 1809, 1100, 2339, 945, 17993, 267, 14291, 519, 589, 12171, 11482, 11607, 290, 15660, 20166, 269, 883, 519, 17514, 1222, 540, 606, 10728, 9769, 3350, 4422, 3564, 12180, 267, 610, 2847, 2086, 532, 519, 10324, 14643, 269, 2368, 6011, 519, 10480, 3130, 1590, 22321, 4892, 602, 18787, 616, 606, 2626, 547, 741, 4145, 269, 1635, 5176, 1169, 9769, 6205, 781, 22672, 11238, 267, 602, 3340, 519, 4990, 540, 22265, 267, 1347, 29487, 5639, 602, 1500, 15656, 717, 558, 11825, 971, 513, 3084, 4137, 2038, 538, 519, 2540, 543, 19124, 1234, 9801, 538, 4571, 10601, 563, 1103, 13287, 540, 971, 513, 5639, 267, 6004, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 267, 543, 741, 4881, 2173, 919, 267, 723, 1044, 1835, 1170, 2275, 1484, 532, 519, 2197, 538, 2487, 4374, 267, 6340, 547, 4174, 24329, 593, 4584, 564, 3515, 267, 693, 678, 718, 625, 547, 13889, 782, 12204, 540, 2152, 543, 693, 23405, 1996, 2818, 540, 6837, 609, 4550, 2000, 1987, 13359, 5638, 563, 3719, 519, 3586, 1857, 23079, 723, 6537, 1360, 2370, 3084, 3007, 269, 5742, 12388, 619, 723, 20335, 811, 32398, 267, 3226, 519, 23318, 3735, 2063, 3923, 602, 6876, 1185, 1044, 6603, 547, 1711, 513, 9649, 9769, 676, 9256, 519, 16790, 20709, 267, 519, 13082, 32305, 543, 519, 7557, 514, 1235, 563, 16031, 269, 5213, 1695, 826, 543, 6004, 269, 590, 1048, 5674, 15597, 3870, 9769, 12388, 619, 607, 513, 1797, 540, 14304, 18787, 267, 5631, 676, 14874, 26134, 29904, 20874, 543, 1863, 532, 2724, 585, 12180, 269, 589, 18797, 12388, 619, 723, 1044, 9307, 610, 6192, 538, 519, 2250, 476, 1240, 3275, 607, 18787, 6443, 519, 7678, 602, 814, 3812, 865, 1082, 9746, 12388, 619, 269, 1809, 9444, 519, 9769, 5718, 6862, 9746, 3013, 2070, 519, 9769, 12388, 619, 607, 6190, 676, 2933, 547, 4161, 519, 30566, 344, 602, 2359, 1631, 5751, 936, 4074, 563, 257, 290, 2734, 622, 3013, 814, 1831, 6899, 7231, 609, 519, 18787, 602, 2099, 922, 4600, 2437, 1767, 5261, 21667, 267, 23122, 2389, 516, 5501, 337, 540, 519, 1977, 18966, 540, 3557, 267, 6019, 543, 27391, 531, 31740, 269, 834, 3719, 621, 814, 711, 1185, 547, 3068, 513, 4161, 689, 513, 3084, 9769, 3350, 547, 9746, 32022, 936, 1857, 6644, 4799, 289, 5802, 4751, 4750, 626, 11977, 623, 269, 21546, 667, 625, 454, 763, 6115, 5403, 267, 5130, 476, 3066, 267, 476, 1960, 274, 454, 10955, 1189, 623, 269, 21546, 267, 476, 11025, 267, 519, 25982, 13739, 19784, 543, 5856, 945, 4080, 585, 13235, 267, 595, 7034, 543, 519, 2062, 14725, 1676, 540, 519, 5398, 16340, 26511, 6796, 267, 5747, 540, 2860, 3967, 269, 476, 2767, 693, 1010, 1753, 538, 32511, 6756, 563, 14367, 10543, 5925, 1982, 540, 3377, 543, 16555, 267, 834, 10955, 1189, 623, 269, 21546, 543, 519, 5240, 2437, 729, 23032, 676, 519, 589, 14566, 4211, 22473, 543, 13739, 676, 13235, 585, 811, 982, 476, 1321, 1296, 269, 769, 621, 267, 6004, 269, 21546, 4080, 543, 5941, 513, 2039, 540, 2152, 267, 1519, 519, 28919, 540, 519, 31076, 2872, 543, 13313, 538, 930, 18787, 267, 543, 519, 1397, 13631, 513, 2647, 5304, 563, 2691, 646, 4465, 519, 6723, 23340, 3212, 629, 1328, 13815, 267, 31076, 781, 1283, 8956, 267, 538, 476, 4198, 277, 267, 646, 729, 11855, 585, 1010, 5578, 543, 11958, 4800, 543, 519, 1857, 10343, 1010, 1982, 1185, 6591, 563, 6546, 1482, 1032, 267, 6004, 269, 21546, 849, 13739, 606, 791, 6842, 539, 543, 15982, 2272, 540, 519, 29070, 16580, 540, 519, 17195, 13274, 619, 1656, 16699, 16910, 807, 543, 14351, 27048, 538, 519, 9533, 1055, 519, 5032, 540, 12590, 269, 1548, 646, 1705, 711, 7866, 602, 3781, 729, 602, 1010, 1152, 1126, 267, 27692, 267, 476, 1691, 267, 1185, 1044, 20829, 519, 1656, 16699, 16910, 807, 543, 729, 5156, 547, 723, 1044, 7166, 269, 3571, 5639, 13264, 609, 7553, 693, 2053, 607, 646, 4330, 834, 1492, 1003, 6883, 267, 519, 7227, 267, 519, 10539, 267, 519, 20849, 5359, 4799, 16031, 269, 21546, 781, 8250, 729, 4362, 9800, 519, 1985, 1554, 267, 2348, 1044, 14393, 1529, 3585, 3032, 777, 738, 539, 547, 513, 16064, 540, 519, 14351, 27048, 950, 922, 6367, 1835, 14414, 883, 1200, 19970, 563, 257, 20751, 519, 2230, 540, 476, 2190, 3108, 267, 713, 27680, 814, 1044, 14593, 1524, 519, 30981, 14788, 547, 519, 1016, 1532, 848, 618, 540, 21817, 543, 6659, 1586, 547, 519, 15627, 540, 6909, 7772, 2437, 646, 1767, 593, 1010, 13739, 602, 1554, 563, 288, 10404, 540, 5010, 31076, 1256, 1247, 646, 729, 6964, 538, 519, 2872, 267, 646, 9896, 1055, 1010, 476, 1321, 4458, 5925, 1982, 538, 476, 3422, 278, 609, 713, 967, 1112, 618, 912, 257, 2467, 568, 2614, 4636, 538, 713, 14081, 547, 20519, 513, 2407, 8397, 4598, 3232, 267, 952, 711, 1169, 5662, 593, 519, 5662, 269, 1809, 14786, 2196, 16101, 733, 3949, 547, 561, 675, 3988, 610, 1832, 519, 3283, 789, 723, 269, 16340, 26511, 568, 6117, 15826, 4961, 2476, 538, 5323, 1407, 676, 6992, 1944, 519, 729, 339, 601, 1343, 540, 519, 2011, 30335, 609, 519, 23226, 540, 19039, 18657, 4531, 640, 269, 634, 3510, 568, 865, 3983, 519, 5010, 338, 267, 1256, 538, 741, 25294, 267, 616, 1419, 1732, 982, 519, 3292, 789, 1489, 4799, 16031, 269, 21546, 4465, 519, 28788, 2284, 10830, 2006, 7690, 267, 21238, 594, 269, 5918, 30716, 543, 6723, 2717, 330, 17341, 17758, 543, 519, 16713, 4750, 1143, 29274, 563, 288, 5065, 540, 9931, 320, 9931, 320, 267, 25169, 1421, 543, 513, 15921, 3288, 8775, 10927, 540, 18724, 2006, 5441, 267, 6004, 269, 21546, 3459, 1010, 4876, 538, 476, 4350, 273, 267, 607, 606, 10002, 4660, 7328, 1873, 31581, 693, 519, 22208, 10060, 269, 1261, 5249, 538, 1820, 19761, 585, 1079, 5756, 910, 585, 2136, 4964, 267, 519, 9628, 11545, 5240, 543, 7502, 1512, 781, 28315, 910, 1354, 11836, 595, 7034, 607, 513, 5925, 543, 8613, 3376, 322, 2120, 563, 14367, 1820, 10467, 3769, 6792, 267, 1141, 646, 1085, 17274, 539, 824, 1065, 13024, 593, 519, 26923, 540, 12157, 9917, 341, 1731, 6205, 15182, 570, 12783, 5652, 538, 476, 3707, 271, 267, 12968, 565, 21343, 543, 2342, 1282, 2622, 2782, 4083, 269, 1261, 729, 609, 519, 476, 276, 628, 8136, 950, 772, 2529, 269, 10136, 9676, 7507, 538, 476, 3707, 275, 267, 543, 646, 729, 538, 5507, 950, 621, 729, 896, 10514, 731, 618, 676, 519, 16586, 563, 16031, 269, 21546, 4080, 689, 519, 5664, 5101, 607, 513, 28479, 766, 5856, 1310, 519, 2112, 267, 1287, 6410, 547, 595, 7034, 543, 6115, 267, 1141, 646, 4988, 513, 2039, 540, 10467, 602, 3769, 519, 6519, 5600, 269, 595, 7034, 3957, 1864, 8689, 540, 5925, 543, 8613, 3377, 538, 476, 4198, 275, 543, 646, 8678, 13235, 607, 513, 6085, 1807, 519, 1985, 1032, 563, 3891, 3576, 513, 4734, 540, 9000, 689, 13235, 538, 476, 3422, 278, 547, 1831, 8783, 5330, 550, 540, 519, 5398, 16340, 26511, 12524, 267, 519, 8097, 5752, 602, 2663, 7960, 883, 32282, 269, 6004, 269, 21546, 781, 6566, 328, 699, 13739, 585, 623, 13993, 538, 476, 3422, 278, 267, 513, 1614, 16923, 1982, 593, 7292, 2042, 538, 519, 2136, 2276, 267, 729, 9833, 607, 513, 19506, 538, 1857, 8613, 563, 3891, 19622, 607, 513, 6241, 626, 585, 519, 5240, 1485, 5204, 526, 6510, 543, 607, 606, 13235, 6085, 1807, 538, 476, 3192, 276, 563, 1103, 2487, 1296, 267, 6004, 269, 21546, 1185, 4797, 7898, 1005, 543, 1603, 267, 1519, 960, 593, 606, 26249, 269, 3571, 4505, 1603, 3769, 834, 290, 548, 2130, 519, 5794, 2437, 513, 1433, 540, 16555, 563 ]

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

[ 4383, 595, 13748, 1851, 3571, 3966, 923, 998, 7175, 3173, 547, 3713, 14432, 19824, 267, 4529, 267, 610, 1514, 2175, 267, 543, 12136, 3928, 540, 595, 13748, 1851, 519, 3077, 2551, 269, 22859, 714, 267, 8621, 2335, 267, 2725, 25632, 543, 744, 685, 3519, 24335, 630, 1001, 277, 264, 4766, 1114, 1514, 1072, 21876, 602, 3571, 3966, 923, 6060, 14605, 607, 16030, 540, 1514, 267, 2168, 267, 1367, 5615, 267, 543, 4057, 1569, 547, 1072, 269, 634, 4589, 6318, 6161, 602, 6710, 3928, 1851, 3571, 3966, 923, 568, 1164, 543, 796, 3225, 958, 7059, 865, 602, 972, 616, 1906, 3638, 2043, 6466, 519, 5354, 2661, 2630, 519, 6710, 1899, 269, 22859, 714, 1696, 620, 269, 630, 1001, 277, 264, 849, 1336, 602, 972, 616, 1906, 3119, 1416, 6703, 543, 3782, 4600, 8957, 519, 2551, 540, 3571, 3966, 923, 538, 6917, 543, 4683, 1970, 11665, 17104, 2950, 269, 769, 741, 1382, 267, 519, 4589, 1336, 602, 519, 9860, 540, 7292, 7130, 543, 14882, 568, 4810, 676, 3571, 3966, 923, 945, 3343, 2564, 1416, 7654, 1813, 547, 741, 4057, 1620, 540, 519, 2296, 1893, 269, 22859, 714, 1696, 620, 269, 630, 1001, 277, 264, 1865, 1970, 2069, 2157, 607, 519, 1292, 2601, 585, 3571, 3966, 923, 685, 22293, 7282, 6197, 3676, 267, 543, 3352, 22529, 1043, 5615, 971, 607, 16906, 7296, 543, 4568, 6057, 269, 769, 741, 1353, 267, 519, 4589, 1336, 602, 1034, 3571, 3966, 923, 798, 711, 4497, 538, 9308, 5473, 16351, 2238, 267, 543, 741, 2732, 5161, 540, 1804, 9424, 540, 11950, 543, 9600, 269, 5015, 267, 513, 1713, 1297, 540, 3885, 849, 1491, 4568, 543, 13189, 267, 799, 616, 1634, 547, 16578, 1646, 540, 1826, 476, 273, 3987, 630, 307, 273, 291, 1040, 3245, 519, 2164, 540, 22859, 714, 1696, 620, 10200, 338, 630, 1001, 277, 264, 1353, 267, 621, 568, 2009, 547, 1711, 3617, 7459, 585, 3571, 3966, 923, 2094, 519, 1292, 7700, 2188, 547, 1164, 9860, 595, 13748, 9305, 547, 1514, 267, 2168, 267, 543, 2804, 21876, 540, 1072, 269, 634, 1239, 593, 7496, 547, 1072, 666, 581, 9916, 547, 2697, 519, 1808, 5615, 543, 2175, 602, 2333, 519, 10171, 540, 519, 1646, 540, 595, 13748, 269, 2991, 971, 2188, 723, 1044, 4857, 267, 621, 786, 581, 2009, 547, 1020, 1808, 7459, 585, 1142, 11064, 7551, 1818, 621, 2009, 547, 2569, 595, 13748, 1851, 3571, 3966, 923, 563, 7049, 5669, 543, 18726, 4578, 454, 19365, 338, 1696, 620, 269, 630, 1001, 276, 264, 9305, 519, 9860, 540, 595, 13748, 609, 19021, 640, 543, 824, 21876, 540, 1072, 269, 2201, 6927, 540, 1024, 15299, 267, 519, 4589, 8044, 602, 24802, 1713, 17114, 540, 14968, 543, 17324, 3571, 3966, 923, 3112, 581, 11911, 547, 1514, 543, 2168, 24572, 540, 1072, 4805, 2094, 4719, 2188, 849, 1404, 513, 1909, 538, 519, 13250, 540, 1560, 3170, 269, 634, 4589, 685, 4681, 5815, 602, 19021, 640, 4249, 513, 2629, 1909, 538, 519, 1646, 540, 8377, 2523, 1851, 3571, 3966, 923, 609, 25161, 19824, 269, 901, 1797, 602, 3571, 3966, 923, 723, 6090, 602, 2014, 519, 14968, 543, 8377, 2783, 269, 3245, 519, 4681, 267, 1239, 666, 581, 16432, 593, 519, 9860, 540, 5444, 14001, 595, 13748, 543, 3617, 7459, 971, 607, 2038, 4152, 585, 4719, 12508, 540, 595, 13748, 2944, 585, 2104, 2359, 540, 595, 13748, 563, 29619, 540, 519, 15783, 8827, 454, 763, 19753, 19397, 2188, 547, 595, 13748, 1851, 3571, 3966, 923, 538, 519, 2475, 723, 1044, 1336, 547, 9305, 547, 14227, 267, 2123, 267, 543, 4719, 21876, 540, 1072, 269, 1306, 971, 267, 621, 568, 2009, 547, 1711, 513, 3102, 6304, 4640, 602, 9607, 891, 7496, 547, 1072, 269, 634, 6069, 3070, 547, 519, 3390, 568, 547, 12167, 585, 6454, 540, 3571, 3966, 923, 685, 2713, 4441, 998, 2069, 543, 14227, 16882, 269, 634, 8360, 602, 3277, 547, 519, 6304, 538, 713, 2013, 29805, 607, 968, 574, 2889, 22777, 540, 2713, 4441, 892, 585, 713, 3390, 4016, 547, 513, 11455, 1935, 602, 13315, 2069, 267, 1914, 32241, 1981, 29969, 4656, 267, 543, 2804, 16882, 269, 901, 6304, 786, 1267, 538, 6190, 6161, 543, 4656, 540, 595, 13748, 1851, 3571, 3966, 923, 267, 543, 786, 849, 1291, 547, 741, 2804, 16882, 865, 602, 789, 786, 581, 2111, 547, 1569, 543, 6488, 2298, 3782, 269, 901, 3070, 20383, 609, 519, 623, 2975, 5588, 538, 602, 621, 786, 948, 2061, 595, 13748, 811, 982, 519, 6671, 2964, 2065, 2564, 7459, 585, 22008, 303, 585, 3571, 3966, 923, 609, 595, 13748, 267, 543, 519, 15415, 540, 1079, 1296, 568, 2614, 585, 519, 17104, 2551, 547, 4894, 519, 1699, 7496, 547, 595, 13748, 543, 8275, 1732, 1072, 563, 1692, 519, 8827, 4675, 2176, 16195, 24054, 585, 3571, 3966, 923, 454, 763, 1935, 267, 799, 568, 6454, 540, 2713, 4441, 540, 3571, 3966, 923, 998, 2069, 543, 2804, 16882, 1489, 3782, 9698, 676, 6220, 4507, 971, 607, 17629, 3782, 267, 543, 2069, 607, 2596, 1480, 2115, 269, 3571, 3966, 923, 723, 1970, 2069, 26556, 1813, 547, 16526, 2404, 609, 7292, 7130, 543, 21109, 267, 799, 568, 849, 519, 1482, 950, 621, 2501, 547, 11865, 540, 2298, 2564, 2533, 630, 289, 7614, 6577, 1696, 620, 1421, 476, 1001, 277, 1040, 634, 1982, 547, 2087, 519, 2298, 540, 1272, 7028, 2069, 543, 2298, 3782, 607, 4909, 1480, 2924, 269, 20226, 543, 14519, 538, 519, 2069, 543, 1072, 9922, 786, 581, 3238, 538, 1931, 547, 2327, 602, 5198, 543, 14227, 1362, 5829, 12886, 723, 1044, 6569, 1369, 513, 1974, 540, 1079, 1296, 547, 2327, 602, 3571, 3966, 923, 538, 896, 1440, 643, 850, 3022, 14227, 2175, 1205, 1569, 547, 2298, 2069, 543, 3782, 563, 289, 2788, 712, 12789, 267, 623, 269, 595, 1421, 22859, 714, 267, 808, 269, 631, 1421, 570, 8403, 591, 320, 267, 717, 269, 589, 1421, 2353, 2581, 267, 631, 269, 589, 1421, 1299, 30954, 22222, 267, 595, 269, 808, 269, 630, 1001, 277, 1040, 31292, 2068, 538, 3571, 3966, 923, 13624, 11294, 657, 538, 519, 2136, 2276, 269, 4750, 540, 4678, 2088, 270, 334, 6530, 267, 476, 275, 263, 273, 1070, 476, 7176, 268, 13647, 563, 289, 7614, 6577, 267, 631, 1421, 645, 7614, 6577, 267, 623, 1421, 12540, 12994, 267, 623, 1421, 1530, 573, 267, 631, 1421, 28226, 267, 717, 1421, 14956, 760, 926, 5025, 337, 3419, 534, 267, 700, 1421, 1299, 19134, 2426, 267, 670, 269, 630, 1001, 277, 1040, 10515, 3174, 540, 3782, 3028, 269, 22720, 297, 19120, 6380, 267, 476, 1839, 263, 278, 1070, 476, 2004, 280, 268, 276, 1704, 563, 305, 340, 714, 267, 808, 269, 631, 1421, 8621, 2335, 267, 670, 269, 589, 1421, 2725, 25632, 267, 631, 269, 681, 1421, 1299, 744, 685, 3519, 24335, 267, 631, 269, 674, 269, 630, 1001, 277, 1040, 634, 17104, 1072, 19433, 281, 689, 16917, 8344, 7613, 547, 9295, 3255, 585, 5626, 2257, 269, 6828, 22948, 1299, 3955, 16766, 9534, 267, 476, 866, 263, 275, 1070, 476, 5379, 273, 268, 5325, 277, 563, 19365, 338, 267, 661, 269, 623, 1421, 12379, 573, 528, 267, 631, 1421, 12736, 1562, 267, 918, 1421, 14878, 6975, 267, 623, 269, 631, 1421, 1299, 19785, 3430, 267, 590, 269, 645, 269, 630, 1001, 276, 1040, 3683, 7076, 543, 8377, 281, 9860, 267, 4539, 267, 543, 3123, 540, 513, 3395, 1857, 1072, 1966, 269, 7351, 8377, 5359, 267, 476, 275, 263, 274, 1070, 476, 3607, 274, 268, 24907, 563, 313, 3147, 1725, 7236, 267, 631, 1421, 1299, 6519, 267, 918, 269, 630, 1001, 276, 1040, 634, 4387, 540, 8808, 2259, 30304, 269, 5507, 281, 13643, 1299, 19258, 27451, 4804, 563, 5978, 3896, 814, 513, 2319, 540, 3318, 5830, 945, 666, 948, 596, 2328, 1022, 540, 707, 6780, 269, 1358, 786, 2328, 707, 4574, 689, 15072, 269, 1284, 849, 723, 513, 2319, 540, 15769, 1175, 547, 1118, 2386, 782, 4574, 616, 540, 670, 26996, 19532, 3201, 14510, 1299, 623, 6369, 22835, 2752, 26113, 17676, 269, 1677, 1118, 606, 11352, 596, 1152, 991, 547, 4945, 9105, 589, 7726, 543, 649, 786, 1463, 596, 547, 938, 11352, 8525, 693, 3503, 291, 5519, 269, 3973, 6445, 3776, 11352, 4813, 609, 782, 707, 7084, 5528, 269, 8564, 707, 21120, 543, 2628, 585, 707, 1957, 269, 1411, 786, 1205, 621, 1906, 3108, 1354, 707, 1305, 21120, 269, 0, 763, 6871, 5888, 4976, 960, 609, 713, 6240, 849, 581, 6654, 269, 654, 714, 1069, 324, 1863, 7317, 4976, 670, 310, 20587, 23531, 676, 4116, 20717, 576, 15173, 269, 18815, 6399, 2951, 942, 547, 960, 3764, 4600, 2085, 476, 1626, 1296, 476, 1001, 276, 268, 1001, 280, 476, 29483, 20677, 24770, 2405, 1014, 7622, 4747, 538, 476, 1001, 280, 9489, 269, 10318, 1456, 2600, 5888, 4976, 4267, 563, 8110, 1417, 5888, 6645, 596, 799, 2010, 540, 8444, 2609, 616, 1459, 538, 513, 269, 1215, 666, 849, 581, 5462, 689, 922, 24855, 2179, 1770, 2147, 547, 6460, 547, 1711, 513, 10959, 4704, 267, 609, 960, 960, 267, 799, 814, 711, 256, 631, 6897, 7136, 20587, 23531, 11061, 563, 303, 7035, 545, 26324, 3051, 785, 3351, 714, 19327, 561, 528, 454, 28398, 532, 476, 1556, 960, 4267, 7209, 1957, 585, 6530, 7262, 3059, 269, 20587, 5888, 676, 2527, 543, 649, 3513, 960, 998, 513, 1297, 540, 2259, 269, 661, 6573, 7644, 13965, 6730, 17834, 28421, 8085, 2752, 11123, 300, 308, 6369, 20796, 16775, 4047, 4953, 476, 272, 1323, 12547, 563, 5445, 786, 960, 538, 6887, 547, 1382, 519, 2010, 543, 5666, 540, 6464, 602, 786, 581, 269, 23531, 3947, 519, 6871, 540, 1142, 3693, 538, 513, 7623, 676, 2527, 269, 20587, 5888, 2259, 700, 17999, 7300, 7732, 563, 19425, 574, 26433, 6444, 602, 1826, 3340, 6616, 519, 3211, 585, 6085, 814, 922, 4542, 960, 609, 3435, 1775, 7487, 713, 454, 5445, 723, 513, 4976, 13886, 8490, 519, 17510, 3433, 799, 3947, 873, 513, 5650, 269, 23985, 4682, 4636, 609, 513, 4605, 24152, 891, 2042, 5473, 6871, 5888, 960, 609, 2810, 2604, 4679, 609, 960, 269, 20587, 720, 23531, 8018, 563, 8110, 1417, 5888, 676, 2527, 4976, 1397, 782, 960, 1519, 519, 2953, 4559, 543, 521, 580, 4453, 338, 609, 707, 2626, 14419, 519, 2600, 269, 13108, 307, 583, 3645, 476, 273, 11123, 300, 8085, 3008, 25783, 290, 7728, 17803, 19766, 5308, 296, 3582, 6730, 563, 24280, 519, 6871, 5888, 4976, 4267, 1344, 454, 288, 11578, 1062, 729, 16432, 609, 946, 540, 2866, 13907, 8193, 4976, 269, 5192, 707, 4976, 856, 543, 1577, 781, 960, 476, 272, 1210, 519, 8097, 1505, 476, 272, 563, 13480, 23651, 676, 12719, 519, 6871, 5888, 540, 519, 7623, 1210, 519, 269, 12706, 513, 19833, 23531, 20907, 1759, 593, 519, 8242, 2667, 636, 6877, 543, 269, 9185, 10241, 585, 19098, 14362, 563, 763, 13218, 13859, 543, 519, 2019, 636, 13011, 2079, 602, 568, 4976, 4397, 540, 519, 269, 10395, 755, 542, 2079, 568, 547, 513, 8392, 334, 845, 6920, 602, 646, 12699, 513, 13350, 3349, 547, 917, 799, 3123, 873, 547, 4976, 609, 960, 1519, 782, 269, 20587, 23531, 654, 330, 560, 4944, 4206, 563, 21093, 519, 2835, 2600, 5888, 4976, 609, 3435, 1631, 568, 711, 1826, 540, 269, 1548, 568, 513, 5114, 267, 519, 4976, 609, 16247, 545, 3679, 1459, 538, 519, 269, 26419, 769, 3733, 7982, 12881, 10435, 769, 11526, 5463, 2888, 9122, 563, 8110, 1417, 4976, 1966, 814, 519, 454, 6524, 29655, 519, 960, 6656, 4890, 2011, 2527, 13859, 829, 11304, 540, 5755, 269, 4855, 519, 2600, 15885, 17031, 547, 519, 14282, 20870, 540, 513, 2600, 540, 782, 540, 519, 2609, 538, 519, 1739, 7135, 476, 272, 9197, 293, 274, 9197, 674, 476, 273, 269, 7490, 4283, 707, 4976, 568, 6871, 5888, 4976, 609, 960, 269, 23531, 960, 6656, 4486, 563, 2005, 568, 2009, 547, 960, 23651, 547, 1265, 519, 12170, 4542, 540, 513, 7623, 689, 269, 22352, 519, 2667, 636, 6877, 543, 667, 1662, 4580, 4976, 585, 7577, 2473, 312, 313, 689, 563, 2005, 786, 3432, 909, 454, 763, 2600, 5888, 540, 513, 7623, 729, 1336, 547, 581, 476, 277, 3374, 8988, 476, 273, 9436, 269, 898, 786, 11008, 1227, 8897, 596, 547, 1413, 3391, 6871, 5888, 4976, 269, 20587, 23531, 8018, 8745, 3223, 601, 11261, 28914, 8058, 782, 26294, 585, 4466, 519, 24855, 2527, 6730, 519, 2600, 5888, 16761, 1401, 7568, 921, 1548, 269, 20587, 23531, 8018, 2060, 10298, 563, 1015, 20050, 1411, 9701, 7767, 538, 20587, 720, 23531, 8018, 2060, 4518, 454, 1432, 729, 519, 5888, 960, 454, 4131, 781, 5173, 519, 2600, 5888, 676, 2527, 540, 513, 26945, 7848, 269, 20587, 720, 23531 ]

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

[ 3116, 269, 901, 568, 1317, 519, 5114, 568, 11528, 630, 28717, 6295, 519, 3003, 1560, 1070, 2864, 982, 22297, 547, 835, 1808, 1858, 563, 1103, 2110, 267, 32105, 616, 811, 10151, 267, 543, 2356, 979, 2476, 538, 513, 1906, 3108, 610, 2395, 269, 681, 10449, 666, 2063, 3476, 543, 991, 2027, 1416, 563, 13349, 17832, 7970, 585, 670, 1161, 543, 681, 10449, 454, 2691, 621, 2501, 547, 32105, 543, 30919, 267, 1978, 12153, 666, 2014, 891, 8886, 908, 2960, 2175, 547, 27506, 909, 563, 3080, 1455, 9594, 568, 11959, 269, 3509, 1004, 1265, 602, 1978, 3536, 267, 971, 607, 32729, 267, 10808, 267, 610, 10683, 2472, 267, 666, 1291, 547, 1312, 32105, 543, 30919, 269, 7025, 23480, 971, 607, 14947, 267, 3662, 546, 6387, 267, 610, 7452, 21746, 666, 849, 2014, 2960, 11959, 563, 5194, 9594, 585, 32105, 543, 30919, 568, 2566, 269, 898, 949, 2097, 607, 513, 9983, 267, 855, 3929, 610, 5626, 2566, 666, 8915, 3294, 593, 519, 2960, 269, 1879, 519, 1560, 568, 896, 2566, 267, 621, 13847, 1978, 6464, 602, 666, 9594, 606, 4761, 3210, 543, 1267, 538, 32105, 610, 513, 16420, 563, 1607, 568, 1419, 2938, 538, 2043, 945, 1995, 1164, 2157, 540, 3232, 2566, 610, 1346, 2469, 998, 1713, 1272, 2621, 563, 3383, 267, 621, 781, 1271, 547, 1832, 606, 3750, 856, 585, 1022, 2242, 538, 707, 2960, 950, 596, 2811, 4743, 16397, 610, 14129, 563, 1692, 7043, 1684, 670, 1161, 543, 681, 10449, 7831, 888, 295, 1161, 543, 30919, 666, 581, 3833, 21898, 16341, 267, 1419, 4929, 9636, 543, 21422, 269, 1809, 875, 1279, 798, 789, 3335, 2063, 286, 4270, 267, 519, 2626, 547, 602, 2243, 666, 4268, 4470, 593, 519, 1367, 543, 519, 5817, 2014, 563, 1103, 2489, 267, 32105, 4043, 547, 2063, 585, 513, 1906, 3108, 610, 2395, 267, 1247, 30919, 666, 6414, 585, 513, 3476, 8653, 563, 2690, 32105, 267, 519, 5354, 540, 2665, 8207, 1369, 476, 2190, 3108, 610, 1447, 269, 1717, 267, 930, 1004, 949, 1995, 20443, 14501, 602, 666, 2063, 585, 1896, 4374, 610, 1256, 3275, 563, 4322, 5312, 32105, 666, 581, 24858, 267, 607, 789, 949, 2097, 543, 979, 1510, 1022, 30753, 9594, 269, 898, 781, 1271, 547, 4063, 602, 32105, 1419, 14897, 593, 741, 1378, 267, 1256, 952, 5594, 2663, 982, 4397, 563, 5353, 22701, 6481, 6435, 585, 670, 1161, 543, 681, 10449, 454, 2691, 621, 2501, 547, 32105, 543, 30919, 267, 5275, 2564, 948, 666, 581, 2629, 538, 1931, 547, 1265, 8323, 543, 2232, 1022, 5817, 2152, 563, 15919, 267, 596, 666, 1521, 32105, 543, 30919, 693, 1753, 1210, 4915, 596, 666, 4444, 1510, 513, 13310, 269, 1809, 3006, 267, 596, 991, 547, 1294, 513, 4387, 563, 3080, 540, 519, 1292, 4128, 547, 3343, 2564, 948, 585, 32105, 543, 30919, 568, 950, 789, 6414, 610, 22009, 936, 942, 269, 1403, 1753, 14319, 1810, 1405, 960, 610, 952, 519, 2589, 3262, 267, 1294, 513, 3782, 8502, 269, 1358, 666, 1265, 856, 1018, 781, 4929, 707, 32105, 610, 16420, 543, 2303, 5574, 547, 948, 596, 1745, 1732, 563, 2252, 596, 723, 32105, 610, 513, 16420, 267, 543, 849, 723, 8373, 7244, 267, 4049, 21422, 267, 610, 11926, 540, 519, 17534, 610, 3068, 267, 621, 781, 1271, 547, 1205, 2564, 948, 1318, 2476, 269, 1452, 2589, 1223, 1611, 596, 2811, 2348, 513, 3978, 13027, 5114, 543, 2154, 7525, 3007, 563, 12709, 3816, 12203, 543, 32192, 585, 670, 1161, 543, 681, 10449, 454, 21093, 32105, 543, 30919, 666, 581, 21898, 16341, 267, 855, 972, 616, 1753, 14319, 602, 666, 948, 596, 1745, 1732, 269, 2290, 2442, 4781, 568, 547, 4019, 513, 4411, 14771, 547, 519, 4299, 1858, 269, 634, 4411, 2837, 666, 948, 2569, 6553, 543, 865, 6139, 519, 621, 577, 1465, 563, 21446, 8271, 267, 2921, 513, 3579, 8602, 609, 2458, 18042, 27046, 22596, 610, 11256, 14614, 666, 849, 1683, 8323, 269, 1452, 5820, 723, 2067, 3601, 602, 666, 9350, 519, 2960, 543, 2569, 16698, 269, 3807, 1118, 2386, 547, 9900, 1273, 3054, 3819, 607, 10353, 547, 27012, 609, 513, 24621, 26063, 547, 2057, 2417, 989, 2787, 563, 5194, 2500, 16185, 568, 519, 946, 540, 936, 7308, 23716, 4550, 7290, 26952, 269, 1452, 6527, 960, 676, 17527, 519, 1277, 8533, 5305, 538, 519, 1560, 267, 799, 568, 1419, 519, 2014, 540, 32105, 543, 30919, 563, 5445, 666, 3927, 2569, 21422, 543, 11926, 269, 898, 568, 1271, 547, 5402, 1246, 519, 18262, 5528, 269, 1403, 596, 723, 1022, 2564, 2175, 610, 616, 2921, 824, 6527, 267, 5077, 513, 3782, 3318, 563, 3528, 8026, 1434, 2960, 3249, 6208, 543, 3843, 856, 891, 1753, 14319, 267, 596, 666, 1265, 8323, 689, 32105, 543, 30919, 538, 519, 4313, 540, 707, 1378, 1753, 563, 288, 6380, 518, 267, 2859, 13229, 8827, 585, 670, 1161, 543, 681, 10449, 454, 4407, 972, 616, 1082, 5574, 585, 32105, 543, 30919, 267, 711, 782, 616, 3728, 610, 2922, 563, 25565, 22521, 28335, 267, 971, 607, 8652, 322, 677, 529, 821, 543, 23280, 267, 666, 5838, 8323, 855, 2356, 616, 3500, 547, 957, 563, 1103, 1840, 267, 891, 5574, 666, 849, 2014, 2960, 547, 1831, 25182, 267, 811, 17866, 267, 543, 12155, 547, 5563, 563, 763, 3476, 596, 946, 891, 28335, 267, 519, 811, 3441, 596, 949, 581, 4929, 707, 2960, 269, 769, 1249, 267, 1082, 1004, 945, 723, 1044, 2921, 22521, 28335, 585, 6905, 5712, 540, 942, 666, 2965, 1995, 8213, 543, 15639, 2589, 267, 1634, 607, 5440, 673, 28238, 1355, 2060, 9526, 531, 267, 610, 570, 14684, 563, 4913, 267, 5647, 6770, 513, 10930, 543, 811, 2500, 3070, 910, 667, 1069, 25279, 557, 10378, 563, 291, 1069, 25279, 557, 10378, 2488, 2656, 543, 9434, 8323, 585, 32105, 543, 30919, 269, 898, 3085, 1405, 723, 28335, 267, 7429, 824, 3681, 563, 7712, 621, 3085, 1405, 723, 28335, 267, 596, 666, 946, 621, 8164, 596, 991, 547, 1510, 20468, 827, 2427, 2360, 2336, 11101, 267, 7429, 29416, 8803, 6950, 602, 666, 1491, 3108, 543, 1256, 2395, 547, 960, 267, 667, 1069, 25279, 557, 10378, 5956, 2324, 1318, 2476, 267, 543, 513, 2582, 9570, 666, 2063, 585, 606, 3003, 3781, 2336, 1432, 5036, 667, 1069, 25279, 557, 10378, 6306, 888, 763, 5728, 568, 922, 2027, 4542, 602, 3533, 2337, 609, 32105, 543, 30919, 267, 4758, 3728, 8323, 269, 667, 1069, 25279, 557, 10378, 3096, 2067, 5820, 602, 616, 2635, 585, 707, 2960, 267, 1519, 1352, 320, 7423, 267, 12841, 1938, 543, 8324, 563, 11101, 267, 1813, 547, 922, 32104, 6954, 2470, 267, 667, 1069, 25279, 557, 10378, 568, 2922, 585, 6024, 946, 269, 901, 1797, 602, 1346, 10010, 609, 5312, 2960, 2175, 666, 723, 513, 3070, 593, 1688, 8164, 789, 991, 835, 563, 7093, 28124, 670, 1161, 543, 681, 10449, 281, 9669, 543, 570, 9581, 454, 2467, 616, 513, 1906, 2241, 4388, 543, 15361, 602, 666, 948, 2061, 32105, 543, 30919, 689, 1818, 606, 7938, 4372, 5920, 563, 5575, 543, 19466, 267, 621, 781, 1271, 547, 2697, 543, 2057, 1022, 12153, 602, 949, 581, 4929, 891, 2960, 6547, 269, 2368, 1919, 602, 666, 2014, 513, 5114, 616, 1978, 3536, 267, 11955, 267, 11959, 267, 543, 519, 4365, 269, 18227, 513, 19701, 547, 3950, 1022, 3270, 666, 581, 5363, 538, 7114, 1018, 1522, 581, 4929, 707, 32105, 543, 30919, 563, 5194, 1271, 1900, 538, 7303, 32105, 543, 30919, 568, 547, 1491, 1434, 1416, 540, 707, 2960, 269, 901, 2882, 5329, 621, 2973, 267, 5848, 28962, 267, 543, 6870, 689, 10792, 6464, 610, 8886, 1218, 269, 19805, 9543, 267, 32709, 6954, 2472, 585, 707, 2960, 543, 27445, 666, 849, 2569, 519, 1981, 540, 24254, 513, 5114, 563, 2414, 2061, 32105, 543, 30919, 267, 5957, 10690, 9660, 1500, 689, 7362, 762, 5958, 602, 3085, 1405, 1118, 596, 17570, 269, 14171, 891, 1507, 3268, 666, 979, 513, 1279, 1259, 538, 5329, 707, 2960, 2635, 543, 16420, 6954, 563, 2691, 547, 1937, 787, 281, 15783, 1290, 4124, 540, 670, 1161, 543, 681, 10449, 454, 22025, 1113, 1290, 4124, 540, 670, 1161, 543, 681, 10449, 666, 581, 513, 2014, 585, 6161, 267, 2523, 952, 789, 6414, 610, 22009, 936, 942, 563, 4407, 1034, 2665, 540, 32105, 543, 30919, 616, 20027, 543, 8207, 593, 741, 1378, 267, 972, 616, 8320, 1141, 2564, 3007, 949, 581, 2556, 563, 3080, 1761, 28658, 540, 32105, 543, 30919, 568, 3968, 269, 1879, 519, 2960, 568, 7745, 610, 8886, 730, 1813, 547, 31153, 267, 4551, 666, 4283, 519, 1930, 16398, 543, 1291, 547, 3968, 269, 12580, 540, 606, 3968, 666, 1331, 2799, 25017, 267, 11926, 267, 14246, 267, 543, 10669, 5250, 563, 2252, 596, 1294, 891, 4191, 267, 1205, 2564, 948, 547, 3247, 519, 3968, 689, 10825, 543, 4929, 2042, 269, 769, 930, 4686, 2665, 267, 4049, 13027, 6547, 1572, 606, 20942, 9471, 666, 4755, 543, 789, 666, 581, 1272, 18446, 269, 1323, 20942, 9471, 568, 950, 596, 723, 8373, 7244, 267, 707, 3068, 610, 11563, 2220, 20635, 267, 596, 1745, 546, 714, 5414, 267, 543, 707, 26470, 568, 3728, 610, 4617, 563, 2252, 596, 610, 2576, 596, 917, 2833, 891, 2589, 2059, 609, 32105, 610, 513, 16420, 267, 621, 568, 2629, 547, 3343, 7525, 2564, 3007, 563, 2304, 20942, 9471, 2115, 2656, 2126, 609, 3134, 710, 31058, 547, 2057, 811, 2042, 543, 7654, 4688, 513, 1272, 563, 4407, 1034, 32105, 543, 30919, 616, 20027, 543, 786, 8207, 593, 741, 1378, 267, 621, 568, 1271, 547, 581, 3222, 540, 1761, 8374, 269, 6884, 267, 5563, 610, 4049, 13027, 6547, 666, 4755, 543, 991, 2564, 948, 269, 1403, 596, 5469, 4191, 543, 1205, 2126, 950, 2877, 267, 596, 666, 2087, 707, 32105, 610, 16420, 563, 31010, 707, 2960, 781, 1072, 543, 4313, 3085, 1405, 723, 547, 27167, 23578, 547, 22247, 2126, 3681, 269, 2060, 667, 1069, 25279, 557, 10378, 267, 8323, 689, 32105, 543, 30919, 666, 581, 16190, 267, 9434, 267, 543, 2417, 11932, 267, 2922, 269, 5269, 519, 5100, 6467, 2221, 543, 546, 3558, 519, 7227, 543, 5855, 2404, 609, 2757, 29416, 8803, 6950, 563, 2414, 1451, 811, 827, 875, 667, 1069, 25279, 557, 10378, 666, 22499, 707, 2960, 1416, 20786, 267, 3643, 8940, 6155, 1069, 25279, 557, 2593, 563, 304, 281, 1215, 666, 594, 2995, 519, 3017, 1063, 32105, 543, 513, 16420, 888, 288, 281, 670, 1161, 543, 30919, 666, 3006, 1413, 2147, 267, 855, 972, 616, 513, 1906, 1883, 3604, 547, 1413, 856, 585, 269, 670, 1161, 616, 6659, 267, 28349, 27894, 593, 519, 2960, 602, 666, 2408, 10393, 543, 949, 2097, 543, 979, 3533, 269, 681, 10449, 267, 593, 519, 824, 1688, 267, 666, 1491, 1585, 3029, 543, 949, 1331, 25017, 267, 27894, 267, 28338, 267, 610, 10253, 269, 1403, 519, 27894, 593, 707, 2960, 616, 6659, 543, 28349, 267, 621, 781, 811, 2693, 547, 581, 32105, 269, 1403, 519, 16420, 3085, 1405, 723, 891, 4162, 267, 621, 949, 581, 513, 1114, 1826, 540, 16420, 563, 304, 281, 1548, 3123, 32105, 547, 2049, 888, 288, 281, 670, 1161, 616, 1419, 3361, 676, 606, 13027, 5114, 547, 1978, 6878, 267, 971, 607, 1426, 267, 6527, 267, 5521, 17486, 267, 610, 14947, 269, 1358, 666, 849, 581, 15427, 676, 1875, 22433, 21544, 2188, 267, 899, 3002, 267, 4411, 267, 3635, 267, 2566, 267, 610, 2604, 593, 519, 2960, 269, 769, 930, 2665, 267, 519, 3169, 2014, 540, 32105, 949, 581, 7164, 563, 304, 281, 1548, 616, 519, 1455, 3123, 540, 513, 16420, 888, 288, 281, 634, 3123, 540, 513, 16420, 666, 4268, 4470, 593, 519, 1826, 540, 16420, 269, 2353, 25489, 568, 513, 1455, 2014, 269, 1924, 616, 5563, 543, 8886, 1218, 630, 7945, 607, 6464, 610, 1978, 6527, 1040, 16790, 14545, 3676, 543, 4719, 2188, 666, 849, 3565, 269, 898, 781, 1271, 547, 5077, 513, 3782, 3318, 547, 3313, 519, 2014, 540, 707, 1808, 16420, 563, 304, 281, 3657, 32105, 543, 513, 16420, 519, 1482, 3364, 888, 288, 281, 670, 1161, 543, 513, 16420, 616, 711, 519, 1482, 3364, 269, 670, 1161, 616, 513, 1826, 540, 16420, 267, 855, 711, 782, 30919, 616, 32105, 269, 670, 1161, 616, 6353, 676, 28349, 6659, 27894, 593, 519, 2960, 602, 666, 2097, 543, 979, 3533, 269, 681, 10449, 267, 593, 519, 824, 1688, 267, 666, 1491, 1585, 3029, 543, 723, 1114, 3123, 563, 304, 281, 1215, 798, 594, 2697, 32105, 888, 288, 281, 670, 1161, 616, 3335, 4857, 676, 519, 5920, 540, 6659, 267, 28349, 27894, 593, 519, 2960, 269, 1452, 27894, 949, 4268, 538, 2450, 543, 3337, 543, 666, 2408, 9170, 593, 519, 1560, 269, 670, 1161, 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, 1655, 6045, 609, 2168, 9424, 676, 16208, 519, 16755, 538, 2474, 540, 9386, 540, 513, 1599, 269, 1280, 1383, 519, 15452, 1648, 5673, 593, 519, 3432, 540, 606, 1843, 676, 519, 4542, 3230, 292, 7807, 2765, 346, 272, 2410, 273, 348, 544, 642, 317, 273, 21974, 1284, 666, 2328, 713, 607, 3230, 292, 815, 535, 17635, 14638, 269, 14597, 519, 1843, 814, 2527, 3230, 274, 315, 4846, 2330, 543, 3432, 3230, 279, 315, 544, 521, 13064, 272, 6525, 269, 4706, 15452, 1648, 568, 6695, 2765, 346, 272, 2410, 273, 348, 476, 274, 1422, 9392, 476, 279, 317, 273, 815, 476, 9834, 315, 808, 21974, 3767, 519, 9386, 540, 3230, 325, 2330, 693, 602, 1448, 568, 3230, 2190, 2330, 1317, 540, 519, 6935, 3230, 323, 661, 815, 544, 642, 546, 642, 21974, 898, 1797, 602, 606, 2333, 540, 519, 3432, 676, 3230, 272, 315, 2330, 25451, 829, 2034, 2164, 538, 513, 2333, 540, 1648, 540, 3230, 2190, 2330, 795, 537, 956, 269, 634, 2495, 540, 519, 4542, 568, 602, 519, 9386, 540, 519, 11201, 1599, 568, 519, 11201, 540, 519, 9386, 540, 3230, 325, 18079, 602, 568, 547, 2161, 6695, 2765, 346, 272, 2410, 2190, 6525, 269, 4935, 606, 2333, 540, 3230, 272, 808, 2330, 540, 15452, 1648, 2164, 538, 606, 2333, 540, 6695, 2765, 346, 272, 2410, 2190, 348, 544, 521, 13064, 272, 6525, 538, 3432, 269, 1677, 2040, 1919, 909, 267, 952, 3230, 341, 284, 326, 27887, 264, 815, 535, 13064, 272, 12917, 292, 14638, 267, 649, 723, 1269, 2330, 259, 325, 263, 279, 6661, 9834, 315, 29911, 575, 263, 9834, 6661, 279, 315, 29911, 535, 21948, 279, 264, 815, 476, 2190, 315, 29911, 575, 21948, 9834, 264, 815, 1422, 2765, 346, 272, 2410, 2190, 348, 815, 1422, 2765, 346, 272, 2410, 325, 21948, 279, 14587, 815, 1422, 2765, 346, 272, 2410, 325, 21948, 326, 263, 9834, 4297, 6525, 2330, 634, 1883, 1448, 547, 1174, 568, 602, 649, 1491, 3230, 326, 2330, 543, 3230, 326, 262, 2330, 693, 519, 1448, 3230, 9834, 815, 535, 263, 279, 14638, 267, 855, 649, 1491, 3230, 325, 2330, 543, 3230, 325, 262, 2330, 693, 519, 1448, 3230, 279, 815, 575, 263, 9834, 14638, 269, 0, 258, 1215, 7982, 532, 5455, 570, 15735, 30863, 3718, 692, 763, 8212, 540, 7982, 532, 5455, 570, 15735, 30863, 454, 303, 1046, 532, 1247, 6287, 532, 3340, 1445, 543, 513, 2603, 540, 2259, 563, 5353, 30807, 1014, 594, 990, 2335, 8636, 328, 270, 328, 1805, 1442, 874, 9369, 692, 15703, 2188, 1118, 25380, 909, 513, 6287, 539, 6174, 811, 7294, 982, 1175, 8380, 519, 1286, 883, 9258, 543, 2469, 585, 621, 1384, 1892, 634, 6287, 539, 6174, 543, 6287, 532, 17102, 8591, 811, 2597, 547, 519, 14764, 563, 1892, 2353, 540, 519, 3063, 2597, 568, 4092, 3297, 519, 6287, 6174, 630, 684, 1652, 1945, 814, 8854, 1360, 4636, 1916, 1892, 634, 6287, 532, 17102, 2882, 513, 22141, 267, 799, 5540, 875, 519, 6287, 6174, 2306, 7140, 563, 1892, 634, 1079, 6472, 4019, 3196, 547, 835, 1776, 267, 799, 2242, 519, 1259, 519, 6287, 6174, 666, 17108, 267, 20347, 543, 2490, 780, 2414, 6287, 513, 6174, 9108, 267, 621, 781, 1434, 547, 723, 513, 2596, 1620, 540, 6323, 269, 3371, 781, 513, 2656, 678, 1495, 1144, 593, 519, 6323, 540, 6287, 532, 513, 6174, 1384, 10303, 519, 6287, 6174, 814, 547, 7485, 610, 7903, 811, 2597, 982, 3339, 267, 621, 1590, 4308, 609, 513, 1114, 1377, 540, 24880, 269, 769, 1068, 807, 568, 519, 12402, 585, 606, 1843, 547, 5706, 513, 1689, 538, 922, 1533, 540, 5163, 269, 898, 781, 711, 513, 3586, 1871, 4534, 3615, 609, 1114, 13999, 723, 1114, 2418, 540, 24880, 269, 1323, 1843, 609, 3152, 2527, 786, 5706, 2242, 547, 922, 1533, 540, 5163, 811, 982, 606, 1843, 609, 1447, 2527, 780, 30692, 692, 30692, 692, 2414, 7753, 24880, 267, 519, 6287, 6174, 781, 2599, 1590, 1685, 811, 960, 982, 621, 1131, 585, 519, 6174, 593, 922, 1378, 269, 634, 1689, 538, 5163, 568, 1572, 10231, 269, 24665, 566, 568, 513, 6152, 7274, 267, 799, 1797, 621, 814, 1312, 513, 4287, 543, 513, 9588, 269, 2060, 10231, 267, 602, 9588, 568, 513, 1689, 538, 6991, 780, 1103, 519, 2013, 540, 25380, 909, 513, 6287, 539, 6174, 267, 519, 4287, 540, 10231, 1131, 581, 18807, 4534, 689, 519, 5133, 540, 2576, 9361, 538, 519, 9920, 781, 10160, 540, 519, 6287, 6174, 269, 1677, 1847, 538, 9258, 9108, 267, 519, 9920, 1590, 2046, 1524, 593, 519, 5787, 1807, 29465, 5402, 780, 5629, 538, 5163, 267, 14322, 1312, 6472, 616, 593, 513, 1377, 2627, 267, 519, 9920, 1590, 3136, 547, 2046, 519, 5787, 1807, 865, 602, 519, 2599, 786, 1683, 513, 3586, 3196, 547, 519, 6287, 539, 6174, 269, 2334, 781, 1317, 540, 11508, 269, 674, 9689, 568, 513, 3196, 25116, 676, 513, 2627, 607, 606, 1843, 7575, 2066, 621, 269, 769, 713, 2013, 267, 11508, 10039, 513, 3196, 6587, 547, 519, 835, 4294, 676, 519, 9920, 269, 1403, 519, 9920, 1705, 711, 4019, 513, 3586, 3196, 998, 519, 5787, 1807, 29465, 267, 519, 1079, 6472, 1131, 5555, 3247, 593, 741, 1378, 780, 2691, 596, 2811, 25380, 909, 513, 6287, 539, 6174, 267, 596, 723, 547, 581, 6297, 711, 547, 1847, 1932, 3533, 267, 1317, 24880, 849, 4249, 513, 3815, 950, 596, 4019, 519, 26039, 269, 5457, 267, 24880, 4016, 547, 606, 1843, 781, 4187, 547, 2242, 538, 5163, 269, 1403, 606, 1843, 568, 3001, 267, 621, 786, 5706, 4229, 3843, 547, 3247, 621, 269, 1879, 596, 2811, 7231, 609, 606, 1843, 609, 513, 2603, 540, 2527, 4534, 1079, 6472, 8678, 1927, 267, 585, 1383, 4534, 519, 24880, 3238, 1797, 811, 960, 568, 2838, 547, 3500, 543, 3247, 519, 1843, 781, 5163, 780, 9202, 267, 649, 3513, 1413, 693, 930, 2553, 585, 25380, 909, 1247, 6287, 532, 513, 6174, 269, 0, 258, 3752, 1386, 10819, 2201, 4223, 4631, 1656, 10318, 514, 1218, 21584, 692, 1892, 543, 7824, 454, 1892, 10732, 267, 5130, 476, 4029, 267, 476, 1708, 272, 476, 1015, 281, 5881, 281, 1321, 7537, 454, 1892, 476, 273, 6085, 692, 17572, 8745, 281, 12193, 2042, 593, 14290, 543, 21876, 1547, 32502, 454, 23917, 281, 476, 28510, 271, 298, 321, 454, 13775, 281, 476, 4029, 269, 4905, 269, 1708, 272, 692, 2005, 814, 476, 273, 9343, 543, 476, 275, 9587, 269, 1284, 2356, 2328, 14290, 3330, 24324, 610, 23049, 1496, 476, 4940, 1284, 946, 14290, 547, 4194, 21800, 4834, 2073, 602, 649, 1558, 4505, 780, 1103, 713, 2985, 11201, 540, 5119, 3211, 649, 616, 2469, 547, 1294, 2259, 2055, 540, 519, 1888, 5119, 269, 769, 951, 525, 798, 2291, 585, 1875, 1606, 532, 983, 14290, 780, 12385, 4631, 543, 10318, 514, 1218, 15545, 769, 9119, 267, 835, 540, 519, 4277, 267, 15864, 543, 1271, 1888, 568, 4223, 4631, 543, 10318, 514, 1218, 269, 5272, 1032, 596, 786, 1205, 693, 2547, 476, 272, 910, 476, 274, 2055, 538, 808, 7417, 6301, 543, 824, 11400, 267, 2047, 543, 18549, 267, 519, 1523, 540, 713, 3184, 786, 581, 3238, 538, 1082, 824, 11271, 267, 899, 7533, 543, 11186, 11810, 269, 10417, 540, 713, 3184, 786, 581, 1031, 585, 519, 7852, 20675, 4146, 1523, 780, 1012, 6796, 1133, 19989, 538, 9167, 3148, 692, 2026, 649, 723, 2938, 538, 2250, 4245, 267, 538, 1931, 547, 5581, 1018, 568, 513, 24572, 540, 513, 5119, 649, 991, 547, 979, 1394, 513, 547, 938, 4214, 540, 513, 5119, 269, 5457, 602, 649, 723, 19927, 602, 513, 5119, 568, 606, 10288, 1592, 540, 2338, 2322, 538, 513, 14328, 31455, 269, 901, 1592, 666, 849, 581, 1572, 513, 14328, 5044, 267, 543, 621, 2488, 606, 1931, 569, 6752, 547, 4159, 513, 834, 4289, 257, 540, 1344, 2609, 269, 1403, 596, 1616, 547, 2689, 519, 4214, 540, 519, 5119, 609, 811, 1469, 596, 666, 30603, 938, 3992, 593, 10035, 540, 14290, 269, 589, 5119, 6257, 513, 5276, 7004, 610, 5276, 4786, 267, 799, 568, 513, 2186, 540, 16606, 1063, 1079, 2010, 540, 15821, 3889, 267, 971, 607, 6152, 4610, 269, 769, 602, 1259, 267, 649, 666, 8207, 1949, 540, 5276, 4834, 676, 8204, 513, 5276, 1062, 607, 513, 5119, 780, 29995, 513, 5119, 3568, 2338, 610, 15821, 7215, 269, 1411, 949, 723, 4862, 14290, 1572, 14249, 2073, 2523, 538, 2780, 2257, 269, 1306, 606, 1383, 267, 952, 596, 1185, 1614, 19946, 267, 543, 596, 4941, 606, 2653, 1259, 547, 4558, 741, 2085, 543, 1297, 540, 8424, 540, 10887, 267, 596, 1223, 4558, 713, 1344, 538, 513, 5119, 269, 634, 4890, 5119, 568, 3330, 543, 2882, 519, 23049, 15545, 4223, 4631, 616, 1572, 3818, 8820, 2094, 649, 723, 1239, 1373, 6740, 538, 1114, 8846, 538, 513, 7470, 269, 1411, 2141, 979, 1524, 1101, 267, 543, 1287, 936, 547, 1205, 519, 7516, 540, 519, 5119, 269, 3962, 1297, 610, 4756, 3330, 519, 5119, 568, 1572, 606, 7127, 610, 3693, 2073, 543, 666, 581, 4857, 676, 31941, 338, 780, 18455, 835, 540, 519, 17950, 540, 7223, 267, 621, 568, 1898, 585, 1169, 8321, 656, 547, 723, 2312, 2035, 543, 6190, 2259, 269, 634, 2609, 538, 513, 4009, 5119, 585, 799, 519, 1297, 540, 519, 4737, 568, 3160, 547, 519, 1297, 540, 519, 6241, 568, 1572, 519, 3056, 15497, 610, 519, 6240, 15497, 540, 519, 5119, 269, 589, 4009, 5119, 568, 1572, 7329, 11391, 582, 550, 952, 519, 1587, 540, 519, 5119, 609, 3294, 2164, 538, 519, 1482, 5119, 269, 589, 5119, 538, 799, 519, 3693, 540, 519, 1775, 555, 4737, 543, 795, 555, 6241, 568, 3160, 547, 519, 3693, 540, 519, 795, 555, 4737, 543, 1775, 555, 6241, 269, 589, 5119, 538, 799, 519, 3693, 540, 519, 1775, 555, 4737, 543, 795, 555, 6241, 568, 3160, 547, 519, 2942, 540, 519, 3693, 540, 519, 795, 555, 4737, 543, 1775, 555, 6241, 267, 971, 602, 782, 2609, 540, 519, 6240, 15497, 616, 4642, 269, 634, 1098, 2821, 540, 513, 2016, 5119, 568, 519, 5119, 5833, 676, 954, 577, 4474, 519, 2609, 540, 9343, 543, 9587, 780, 3080, 540, 938, 21927, 786, 556, 3200, 547, 596, 1369, 476, 4366, 3108, 269, 11531, 596, 666, 17949, 519, 5131, 5530, 7698, 269, 4223, 4631, 543, 10318, 514, 1218, 568, 513, 1360, 1271, 1888, 538, 9119, 269, 5192, 3798, 684, 2193, 781, 1353, 4967, 609, 12596, 267, 2055, 543, 3435, 547, 917, 1018, 616, 19336, 543, 10318, 5364, 543, 875, 547, 4194, 891, 2055, 269, 769, 713, 2634, 7888, 3391, 267, 596, 3513, 1353, 543, 3533, 9787, 519, 1739, 2035, 281, 780, 1012, 19336, 543, 10318, 5364, 910, 3798, 684, 2193, 5530, 11872, 609, 4813, 10358, 267, 5999, 1299, 10298, 692, 15239, 6945, 10658, 26072, 2443, 8347, 707, 1688, 693, 891, 7138, 1782, 13410, 269, 1215, 666, 594, 4729, 513, 10539, 5119, 585, 513, 6258, 811, 827, 10539, 267, 8760, 267, 24352, 20199, 267, 1875, 321, 2435, 10803, 543, 10724, 4804, 15484, 7901, 269, 634, 1200, 2466, 1014, 31669, 540, 513, 5119, 568, 5833, 676, 2921, 519, 1950, 31669, 540, 1142, 3693, 543, 1287, 2921, 519, 1098, 2821, 540, 269, 4258, 1087, 26427, 9046, 2443, 4855, 10374, 652, 2619, 689, 2707, 547, 10278, 269, 1703, 616, 1100, 1318, 610, 4636, 2055, 267, 3976, 789, 1058, 2626, 1142, 2243, 607, 25473, 607, 2009, 547, 780, 396, 507, 3264, 16044, 483, 3378, 10948, 3264, 20732, 9841, 11012, 3378, 13150, 3522, 8563, 4138, 31224, 20413, 4709, 3264, 17095, 21134, 10528, 3522, 17221, 19628, 269, 2843, 352, 20413, 12811, 9326, 21660, 11012, 4344, 17201, 3264, 10780, 4138, 4814, 22147, 11012, 11012, 9924, 4814, 21134, 269, 910, 1109, 396, 354, 3378, 16021, 20977, 25338, 9924, 267, 2843, 498, 21833, 3522, 16648, 16648, 3522, 267, 14359, 3378, 476, 9326, 18194, 17201, 21833, 20265, 11012, 6459, 29391, 4138, 31224, 30935, 11012, 8563, 3378, 3264, 13953, 476, 25000, 20434, 3264, 13953, 269, 910, 1109, 396, 507, 7846, 18194, 3522, 286, 1109, 268, 2843, 508, 4709, 16044, 483, 9261, 9924, 7549, 4709, 7846, 6459, 780, 396, 504, 6459, 19628, 10948, 269, 910, 1109, 29551, 16044, 491, 4344, 21134, 15800, 30935, 7549, 6459, 19628, 10948, 3522, 20046, 31502, 31128, 15671, 3378, 30935, 9261, 9924, 4736, 3264, 6459, 780, 396, 508, 4709, 24893, 7846, 31224, 2843, 375, 4138, 14359, 3264, 25338, 3264, 15671, 21134, 25338, 4814, 25974, 4138, 6459, 31502, 17095, 14359, 3264, 13953, 267, 11012, 17153, 8563, 19277, 4138, 6459, 476, 4344, 31589, 16648, 7549, 7846, 15800, 11714, 13150, 3522, 8563, 4138, 6459, 11714, 16068, 4344, 8563, 21268, 13150, 4138, 3264, 476, 16021, 6459 ]

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

[ 968, 2467, 723, 1044, 6811, 602, 2067, 2472, 3274, 723, 513, 21897, 1198, 269, 769, 938, 1353, 267, 649, 6743, 693, 811, 982, 476, 1911, 2010, 540, 2067, 1587, 10659, 602, 616, 9228, 547, 581, 519, 1655, 543, 1336, 602, 621, 568, 2009, 585, 2067, 2472, 547, 3035, 519, 1482, 7145, 607, 812, 13402, 5061, 269, 1717, 267, 519, 5506, 540, 4466, 971, 10659, 1759, 593, 2757, 2409, 568, 1970, 630, 10964, 578, 476, 274, 829, 1298, 264, 607, 519, 2067, 2472, 723, 547, 581, 540, 6190, 1494, 1890, 543, 3144, 538, 519, 1318, 4999, 3034, 9202, 3268, 585, 1382, 593, 2067, 2472, 454, 763, 4681, 689, 713, 1382, 1683, 513, 5748, 585, 2417, 2090, 593, 519, 4791, 7145, 540, 16909, 4915, 543, 875, 513, 4999, 540, 2067, 2472, 543, 10991, 5061, 666, 581, 3144, 1927, 547, 4339, 3676, 563, 763, 2319, 786, 3136, 547, 2932, 811, 1382, 538, 713, 1858, 267, 538, 1880, 267, 547, 3313, 875, 547, 3035, 519, 1482, 1377, 540, 7145, 585, 2067, 2472, 607, 10991, 5061, 269, 4256, 1382, 786, 1445, 593, 2442, 16909, 2472, 543, 4749, 11311, 2757, 4915, 563, 298, 574, 828, 2917, 15651, 1923, 1715, 1873, 1047, 454, 27319, 4578, 26306, 1107, 5080, 325, 532, 519, 8262, 23027, 454, 6349, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 1323, 613, 342, 663, 974, 6176, 4614, 1013, 1731, 28218, 454, 20458, 1689, 1223, 856, 10628, 16501, 8235, 16422, 21622, 20038, 454, 1240, 269, 1556, 269, 1001, 277, 1923, 2160, 540, 28599, 454, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 3047, 7070, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 3047, 7070, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 10049, 7070, 0, 298, 333, 22741, 568, 13730, 827, 4264, 8105, 543, 4264, 1426, 563, 15933, 1175, 16919, 1732, 950, 621, 779, 3812, 519, 1318, 1259, 543, 649, 666, 1832, 12419, 4264, 3132, 585, 5481, 547, 2097, 269, 15154, 827, 875, 547, 4688, 1216, 693, 1169, 3942, 538, 1931, 547, 3132, 13476, 7874, 1426, 568, 835, 540, 519, 2081, 649, 543, 519, 6705, 649, 960, 609, 616, 3257, 938, 3787, 563, 13328, 4826, 10432, 568, 519, 3501, 942, 547, 2491, 1175, 1018, 12928, 22741, 20885, 1797, 543, 875, 3025, 666, 960, 1927, 547, 948, 16756, 741, 1216, 11640, 563, 2171, 782, 723, 835, 267, 855, 875, 1082, 540, 721, 2731, 917, 1018, 938, 1216, 11640, 568, 286, 1411, 1522, 1589, 621, 779, 875, 1454, 1216, 596, 4235, 610, 875, 1454, 596, 946, 547, 17643, 610, 11547, 519, 1286, 267, 855, 602, 779, 1175, 519, 9133, 540, 519, 4672, 6199, 269, 2201, 3328, 649, 946, 827, 476, 4391, 17529, 513, 1554, 593, 1346, 6469, 2238, 1107, 855, 950, 596, 1413, 693, 519, 6456, 1216, 1031, 547, 3132, 519, 1426, 649, 3548, 267, 938, 1216, 11640, 9428, 547, 936, 476, 272, 267, 1822, 17529, 2614, 547, 6445, 5722, 3905, 8685, 338, 563, 3719, 1946, 568, 713, 513, 1966, 286, 5221, 649, 2461, 4881, 856, 540, 4195, 1216, 563, 2690, 3368, 513, 5479, 1262, 1004, 1216, 20317, 568, 2907, 606, 3390, 267, 676, 476, 10711, 271, 267, 519, 6167, 25221, 602, 3368, 519, 2518, 2551, 786, 581, 6849, 1216, 22520, 269, 2334, 779, 1946, 649, 782, 991, 547, 1831, 811, 3222, 540, 519, 1216, 649, 2048, 4621, 2541, 685, 1169, 1554, 267, 1256, 952, 621, 568, 31305, 971, 607, 1216, 538, 8105, 269, 769, 1249, 713, 15865, 1216, 568, 2629, 267, 607, 1169, 1032, 1472, 476, 3445, 829, 1298, 540, 519, 1158, 779, 2698, 2627, 543, 2666, 1216, 568, 1031, 547, 1332, 7031, 563, 3383, 1018, 616, 649, 3257, 888, 298, 333, 22741, 6487, 602, 1247, 1216, 538, 8105, 568, 2565, 267, 621, 666, 849, 581, 513, 2101, 2707, 540, 1216, 3653, 269, 6904, 568, 1946, 649, 616, 2324, 609, 6705, 2066, 519, 1158, 547, 948, 873, 547, 2743, 4264, 6683, 3853, 543, 22082, 1007, 2553, 547, 2759, 1524, 519, 2179, 540, 1216, 602, 568, 1031, 547, 1332, 7031, 269, 3683, 519, 2063, 1614, 1296, 6705, 945, 616, 851, 540, 12928, 22741, 779, 4264, 6683, 1982, 723, 10710, 606, 3328, 540, 476, 29876, 267, 1822, 17529, 1107, 602, 779, 936, 476, 276, 2929, 14296, 540, 1216, 563, 3383, 1018, 666, 3025, 798, 547, 2569, 741, 6456, 1216, 11640, 888, 272, 269, 5269, 2241, 1426, 2220, 2355, 269, 1684, 596, 917, 875, 1454, 1216, 596, 1223, 4688, 676, 15175, 689, 3694, 547, 12277, 286, 3371, 616, 930, 811, 9670, 1216, 9494, 2220, 2355, 912, 265, 272, 4846, 11224, 476, 273, 269, 736, 7273, 454, 273, 269, 3367, 519, 6003, 269, 6733, 585, 519, 12928, 22741, 20885, 26844, 20446, 547, 1397, 602, 5820, 538, 519, 2472, 596, 2461, 9140, 723, 1044, 30396, 21433, 267, 543, 602, 2882, 1210, 1447, 1216, 547, 3132, 873, 269, 1284, 2461, 1134, 593, 938, 3460, 609, 6705, 547, 1332, 938, 5820, 19100, 998, 938, 12928, 22741, 20885, 26844, 563, 274, 269, 13772, 707, 3653, 269, 1879, 596, 12235, 856, 1426, 267, 596, 5749, 1406, 1175, 27830, 1018, 596, 10093, 1406, 3893, 1472, 547, 4189, 267, 596, 616, 849, 27830, 782, 519, 2200, 267, 1519, 1216, 267, 602, 941, 1031, 547, 3132, 621, 269, 1924, 3079, 540, 18530, 856, 1346, 2451, 13569, 267, 1205, 6273, 676, 891, 2093, 547, 2490, 873, 883, 17705, 8286, 3079, 563, 265, 4826, 14272, 2745, 8416, 454, 1262, 5274, 4886, 7797, 476, 1220, 277, 269, 6167, 7894, 267, 476, 1220, 277 ]

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

[ 1177, 520, 558, 773, 12075, 267, 1317, 621, 2095, 539, 883, 8235, 623, 1195, 1146, 563, 6097, 547, 667, 21779, 1299, 2696, 5341, 630, 476, 2735, 272, 3738, 543, 8048, 4226, 614, 543, 6215, 13273, 630, 476, 3422, 279, 16532, 21142, 700, 558, 1314, 543, 519, 7732, 540, 6837, 3173, 1705, 711, 2594, 1022, 18647, 21462, 5443, 630, 610, 2021, 3738, 1991, 547, 476, 3707, 272, 267, 950, 646, 6592, 12312, 5600, 543, 4024, 773, 9466, 2282, 8235, 595, 768, 528, 656, 267, 14967, 267, 543, 631, 28854, 27347, 693, 853, 990, 718, 267, 14967, 6902, 2705, 267, 713, 3409, 568, 31713, 607, 3627, 543, 21142, 700, 558, 1314, 1705, 2594, 645, 4157, 6390, 6519, 538, 476, 4350, 280, 267, 8048, 5617, 569, 538, 476, 4350, 274, 543, 1034, 2693, 1866, 563, 6097, 547, 513, 2689, 518, 267, 646, 1705, 1454, 540, 519, 1382, 585, 519, 4320, 538, 6115, 267, 667, 269, 595, 1421, 693, 519, 7732, 540, 6837, 543, 519, 2817, 19964, 267, 1085, 28666, 6119, 540, 519, 3557, 4972, 267, 772, 269, 590, 269, 24959, 11752, 543, 824, 8041, 563, 6097, 547, 519, 7732, 540, 6837, 267, 834, 621, 568, 4922, 5156, 602, 789, 941, 1031, 5097, 585, 2673, 13522, 543, 7654, 519, 6172, 12519, 6429, 1141, 16910, 18333, 512, 2355, 1200, 31623, 1927, 563, 6097, 547, 7172, 4115, 22186, 22220, 670, 839, 5443, 267, 654, 841, 543, 654, 1446, 539, 620, 4149, 515, 327, 686, 1031, 519, 5769, 1569, 693, 5548, 2001, 16047, 5398, 7732, 538, 4864, 476, 1220, 272, 267, 1141, 789, 949, 723, 1044, 3168, 693, 1344, 593, 7693, 7452, 532, 6902, 789, 27333, 2451, 519, 5399, 609, 513, 3791, 5664, 8109, 812, 2219, 547, 581, 3057, 9774, 620, 4149, 515, 327, 6062, 267, 945, 670, 839, 5443, 1767, 4280, 1200, 585, 519, 2012, 540, 513, 2199, 13962, 563, 6097, 547, 519, 772, 269, 590, 269, 2817, 7732, 540, 6925, 267, 7503, 6794, 568, 834, 513, 2783, 538, 799, 513, 1268, 814, 21901, 267, 26900, 610, 824, 8401, 1062, 602, 3112, 581, 6045, 676, 2564, 6268, 834, 563, 6097, 547, 18135, 2692, 267, 5915, 564, 686, 639, 6273, 519, 5137, 540, 519, 31040, 542, 267, 1732, 1634, 607, 519, 7732, 540, 28641, 267, 799, 729, 24018, 1310, 519, 11460, 540, 17127, 781, 1153, 563, 6097, 547, 513, 2951, 4084, 676, 26056, 8895, 11017, 538, 476, 5197, 280, 267, 891, 5656, 3769, 513, 968, 1804, 7406, 25778, 3101, 2777, 543, 1896, 4130, 3283, 585, 3885, 1107, 3636, 543, 4411, 31725, 543, 513, 3915, 328, 731, 4055, 1547, 892, 769, 476, 9264, 275, 267, 16170, 5112, 25951, 729, 688, 6150, 607, 519, 968, 8053, 335, 601, 1512, 540, 3013, 9232, 538, 513, 6241, 538, 519, 5147, 7160, 540, 519, 2817, 30657, 8291, 1299, 7732, 19193, 267, 799, 7074, 609, 17192, 519, 7297, 267, 22581, 267, 2238, 267, 1426, 543, 9174, 563, 6097, 547, 519, 1715, 3840, 5398, 7732, 267, 519, 1101, 3312, 5641, 17581, 267, 513, 1305, 540, 8964, 6592, 676, 519, 5641, 540, 634, 595, 2784, 548, 4024, 9412, 267, 676, 16205, 2349, 6308, 7322, 267, 729, 5950, 538, 476, 4350, 279, 593, 8535, 2761, 563, 6097, 547, 513, 5619, 5342, 676, 519, 3883, 6361, 7308, 5336, 517, 628, 11833, 543, 519, 7732, 540, 6837, 267, 2494, 781, 9612, 1280, 12791, 12851, 547, 513, 1592, 540, 834, 519, 4557, 1034, 9565, 2835, 538, 519, 2136, 2276, 563, 6097, 547, 519, 595, 7034, 5240, 7732, 543, 2707, 9995, 344, 2637, 601, 3780, 630, 21470, 5518, 267, 595, 7034, 5240, 18058, 16532, 519, 834, 595, 7034, 4634, 532, 5240, 834, 729, 519, 1982, 2140, 585, 1312, 14349, 543, 10732, 10543, 13739, 338, 563, 6097, 547, 519, 16528, 13751, 3493, 21627, 2920, 21101, 540, 9102, 1570, 1590, 6494, 835, 5299, 540, 1169, 1843, 547, 519, 2817, 7732, 543, 3670, 824, 1382, 8021, 269, 0, 20082, 1765, 27511, 594, 297, 306, 2207, 454, 329, 1177, 610, 547, 24327, 8302, 5161, 540, 513, 1305, 540, 7299, 28287, 267, 835, 10265, 1373, 6378, 543, 519, 824, 1373, 6410, 1394, 543, 8521, 3448, 547, 621, 676, 513, 4342, 610, 8486, 2006, 7271, 563, 2108, 20663, 589, 3660, 5071, 540, 26836, 8302, 7536, 1692, 2462, 568, 513, 10265, 8302, 888, 629, 5724, 540, 10265, 8302, 454, 20082, 910, 26836, 19854, 616, 5230, 543, 3500, 3432, 3684, 799, 616, 1031, 547, 5786, 540, 1804, 9424, 540, 17571, 883, 4130, 9325, 634, 2773, 540, 10265, 8302, 568, 5631, 5462, 676, 519, 11493, 4390, 609, 2463, 547, 1379, 4616, 1282, 519, 11493, 1184, 2483, 297, 1177, 19783, 910, 606, 7650, 1923, 3163, 17445, 11762, 454, 297, 1177, 8302, 281, 634, 1570, 568, 16760, 1063, 513, 6378, 10265, 543, 513, 5985, 10265, 269, 634, 3049, 568, 16271, 547, 7368, 2604, 607, 621, 10596, 1524, 2072, 543, 568, 24482, 4389, 538, 2450, 2394, 621, 568, 1507, 2614, 547, 1780, 856, 540, 519, 11493, 12068, 269, 901, 8302, 7472, 1447, 22717, 855, 519, 27960, 723, 513, 811, 28608, 1106, 563, 4785, 278, 8618, 3393, 278, 274, 289, 272, 910, 26836, 8302, 910, 5616, 4793, 757, 454, 288, 10265, 8302, 2882, 513, 3684, 609, 513, 3001, 3490, 267, 513, 6378, 3490, 267, 513, 24807, 2951, 14577, 7271, 585, 22141, 958, 23993, 519, 1283, 540, 513, 24807, 2951, 14577, 3490, 547, 519, 3684, 676, 606, 26137, 19492, 557, 267, 543, 606, 13128, 24807, 7934, 14577, 7271, 269, 589, 547, 24327, 6676, 568, 8704, 1063, 519, 24807, 2951, 14577, 3490, 543, 519, 3001, 3490, 563, 1805, 821, 19783, 17593, 1923, 19783, 24759, 267, 595, 821, 19783, 267, 26836, 4429, 629, 5724, 540, 11493, 1210, 513, 10265, 8302, 543, 5102, 591, 6500, 19783, 267, 297, 1177, 8302, 267, 302, 516, 6149, 8302, 2030, 1107, 1929, 532, 17719, 11493, 2560, 1929, 532, 568, 835, 540, 519, 7887, 6149, 8302, 10672, 538, 3624, 269, 519, 2754, 729, 8547, 6693, 4785, 1220, 3445, 273, 277, 1556, 6434, 288, 272, 910, 17029, 2401, 26836, 19783, 3590, 1656, 6396, 4429, 288, 16945, 10265, 8302, 1062, 1519, 606, 28608, 16945, 602, 29226, 7363, 827, 513, 4099, 7852, 267, 543, 513, 1940, 762, 8840, 6676, 27358, 547, 5581, 513, 7930, 4130, 7934, 1063, 519, 8840, 2483, 1432, 1772, 17593, 2986, 26836, 19783, 454, 20082, 10265, 8302, 7493, 585, 7344, 17646, 8302, 910, 6267, 659, 611, 5519, 7493, 10265, 8302, 568, 513, 2186, 540, 519, 5266, 1007, 7623, 28764, 10265, 8302, 267, 621, 814, 1079, 11493, 12068, 543, 814, 606, 30141, 1835, 1678, 4224, 518, 7271, 1451, 811, 17712, 2350, 1862, 2859, 19672, 454, 20082, 2986, 12942, 9197, 5241, 10724, 454, 20082, 585, 7344, 17646, 8302, 269, 17593, 10265, 8302, 568, 513, 2186, 540, 20146, 5786, 3684, 799, 568, 4922, 1031, 538, 519, 621, 568, 2653, 547, 1265, 519, 4154, 7626, 5599, 2030, 3684, 2324, 593, 519, 7626, 533, 928, 9964, 8302, 7493, 678, 329, 1186, 514, 11493, 3937, 890, 10265, 8302, 890, 342, 10265, 8302, 533, 325, 342, 1764, 3483, 540, 7344, 17646, 8302, 3684, 3483, 540, 7344, 533, 928, 9964, 563, 20082, 1280, 20996, 570, 514, 19783, 910, 26836, 19783, 1923, 31434, 4429, 20082, 1280, 26836, 19783, 3115, 26147, 675, 937, 668, 523, 4526, 2041, 269, 17593, 827, 10265, 8302, 10265, 8302, 5599, 11493, 269, 808, 5819, 297, 1177, 19783, 297, 1177, 19783, 1280, 22312, 297, 1177, 19783, 634, 808, 302, 312, 3201, 26836, 19783, 568, 4922, 1031, 538, 5599, 2679, 2326, 3114, 2872, 12669, 21395, 543, 865, 593, 634, 26836, 19783, 568, 5078, 585, 3119, 543, 6281, 11493, 782, 5686, 540, 6886, 543, 7725, 609, 735, 4809, 4222, 1447, 982, 476, 17168, 4429, 1432, 568, 513, 26836, 19783, 286, 1923, 570, 1564, 19431, 454, 297, 1177, 19854, 616, 1419, 11280, 676, 519, 2450, 540, 519, 1283, 6679, 1141, 1570, 13788, 269, 634, 23761, 4043, 547, 581, 2901, 14328, 610, 4009, 543, 616, 26518, 538, 6279, 269, 1280, 1383, 267, 513, 476, 27844, 275, 610, 476, 3953, 9943, 4510, 10265, 8302, 814, 513, 476, 3953, 892, 676, 476, 4510, 892, 6679, 267, 476, 3953, 892, 1373, 519, 7934, 693, 519, 1283, 1063, 519, 10265, 10523, 543, 476, 4510, 892, 1373, 519, 8700, 1063, 519, 2427, 10824, 563, 297, 1177, 12724, 1667, 910, 19294, 25605, 9197, 5241, 1299, 30587, 12518, 454, 4041, 4696, 2207, 5442, 623, 6020, 300, 14473, 29273, 310, 10911, 4785, 295, 8991, 269, 634, 10265, 8302, 568, 835, 540, 519, 1034, 16832, 543, 9053, 6191, 1317, 540, 922, 2773, 543, 15006, 269, 13689, 593, 2030, 11768, 267, 10265, 19783, 666, 581, 3812, 593, 14743, 267, 1236, 573, 2173, 870, 539, 610, 6378, 547, 519, 6405, 13210, 563, 297, 1177, 12724, 1667, 1923, 32511, 534, 25301, 454, 297, 1177, 12724, 1667, 616, 21092, 676, 519, 1283, 6679, 540, 519, 11493, 12068, 269, 1280, 1383, 267, 513, 476, 3953, 1535, 476, 7918, 26836, 19783, 3800, 476, 3953, 257, 689, 10265, 5884, 547, 10265, 5884, 693, 519, 1283, 6679, 610, 575, 1901, 6679, 543, 476, 7918, 892, 2066, 519, 8700, 540, 519, 1079, 10265, 10523, 269, 634, 7522, 518, 5377, 6679, 540, 519, 11493, 12068, 568, 1031, 547, 2450, 519, 11166, 1570, 563, 290, 944, 26836, 19783, 910, 13334, 454, 13425, 856, 713, 10265, 8302, 538, 2962, 454, 290, 6350, 615, 910, 9504, 454, 288, 10265, 610, 547, 24327, 8302, 5161, 540, 513, 1305, 540, 7299, 28287, 267, 835, 10265, 568, 6854, 19335, 543, 568, 1572, 513, 6378, 10265, 1247, 519, 824, 10265, 1572, 513, 18711, 10265, 267, 7575, 1394, 543, 8521, 3448, 547, 621, 267, 676, 513, 4342, 610, 8486, 2006, 7271, 267, 9117, 899, 513, 1362, 4083, 11573, 610, 513, 2428, 28755, 14982, 269, 634, 4320, 610, 13570, 1063, 519, 1079, 28287, 568, 1572, 519, 11493, 12068, 563, 297, 1177, 19783, 910, 3163, 17445, 454, 13202, 476, 4905, 267, 476, 1001, 277, 5788, 634, 10265, 8302, 568, 5097, 513, 13496, 8302, 267, 1247, 519, 1866, 7500, 5097, 676, 519, 3498, 540, 1764, 269, 476, 275, 269, 273, 269, 5071, 540, 26836, 12724, 1667, 269, 26836, 19854, 616, 2966, 547, 18836, 606, 1764, 593, 513, 4224, 9325, 5116, 1063, 513, 6378, 543, 513, 3001, 6676, 630, 329, 1177, 1040, 634, 8188, 540, 519, 10824, 616, 1500, 540, 2182, 2989, 5374, 563, 22479, 659, 885, 543, 2773, 4162, 540, 10265, 19854, 454, 30726, 2524, 540, 10265, 19854, 590, 10611, 2529, 269, 590, 770, 686, 17593, 910, 1635, 721, 538, 317, 519, 1239, 540, 661, 6993, 269, 670, 619, 322, 6447, 3768, 674, 5861, 269, 20607, 781, 1226, 1081, 585, 679, 601, 3766, 344, 524, 269, 976, 1248, 3064, 582, 278, 538, 1474, 2381, 1081, 267, 513, 1505, 530, 297, 553, 2919, 547, 2588, 2741, 337, 569, 345, 335, 519, 533, 349, 339, 281, 25206, 264, 31014, 333, 766, 540, 967, 337, 3464, 268, 4693, 795, 7159, 286, 524, 25722, 30994, 2867, 4732, 269, 634, 588, 272, 6113, 18192, 15524, 349, 341, 323, 602, 4853, 795, 13062, 342, 678, 25331, 331, 3464, 1667, 579, 272, 4318, 1024, 564, 268, 958, 1566, 564, 269, 3176, 646, 869, 524, 269, 340, 1440, 21683, 269, 640, 563, 303, 754, 4918, 10265, 8302, 910, 2910, 3918, 454, 20082, 269, 901, 4487, 5098, 9388, 609, 7293, 1374, 540, 28764, 585, 2582, 547, 24327, 10265, 8302, 9823, 476, 8099, 343, 3583, 543, 5161, 540, 1896, 1292, 2694, 269, 634, 1101, 851, 6212, 593, 519, 4393, 540, 7777, 2326, 267, 2523, 593, 519, 1184, 540, 7344, 4608, 537, 7204, 563, 322, 6350, 615, 6609, 7493, 454, 297, 288, 310, 10911, 4785, 295, 2207, 269, 26836, 19783, 568, 513, 2186, 540, 12942, 8302, 267, 543, 10265, 8302, 568, 849, 1572, 9412, 8302, 269, 2859, 1344, 9890, 454, 297, 1177, 12724, 1667, 910, 803, 330, 698, 331, 2128, 2593, 454, 297, 1177, 12724, 1667, 631, 297, 476, 3445, 267, 631, 297, 476, 8099, 543, 631, 297, 476, 9873, 14502, 10410, 2305, 26836, 12724, 1667, 2569, 1804, 2450, 7725, 610, 7626, 676, 11093, 519, 4224, 883, 13496, 269, 901, 7344, 2604, 568, 6913, 676, 519, 1079, 28287, 540, 519, 8302, 540, 799, 835, 568, 6378, 1247, 519, 824, 25262, 919, 269, 1703, 616, 849, 3119, 543, 6281, 2010, 540, 10265, 19854, 269, 0, 1607, 3018, 649, 616, 3695, 519, 6249, 540, 4222, 563, 8072, 296, 1419, 1279, 585, 596, 269, 594, 1058, 2648, 547, 1294, 596, 269, 594, 1810, 1406, 917, 950, 594, 4927, 1294, 596, 1586, 855, 594, 798, 4126, 621, 786, 581, 1360, 4166, 20371, 763, 4484, 2630, 729, 2366, 676, 670, 564, 1399, 547, 1200, 6653, 24711 ]

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

[ 533, 815, 544, 341, 267, 519, 9588, 540, 700, 568, 2433, 3040, 1141, 19569, 355, 568, 519, 5086, 1063, 678, 543, 533, 269, 3040, 700, 815, 476, 271, 950, 678, 568, 6252, 547, 533, 630, 22933, 355, 815, 476, 271, 610, 476, 5197, 334, 1040, 3040, 769, 824, 1913, 267, 950, 519, 5276, 6991, 540, 519, 9325, 568, 2059, 513, 1899, 602, 10596, 998, 519, 5169, 267, 519, 9325, 814, 4642, 16070, 11610, 609, 2463, 547, 519, 5169, 269, 3040, 700, 815, 544, 31918, 950, 678, 568, 13902, 547, 533, 630, 22933, 355, 815, 476, 3445, 334, 1040, 3040, 2311, 602, 8216, 267, 519, 9325, 7575, 4010, 607, 952, 621, 941, 593, 519, 26079, 540, 513, 8868, 15914, 827, 519, 5169, 538, 513, 7077, 3989, 676, 678, 543, 533, 269, 3040, 8776, 4302, 3040, 12430, 5163, 1107, 519, 2121, 3196, 593, 513, 9325, 11224, 519, 942, 2557, 540, 1689, 540, 922, 5276, 11610, 267, 17986, 354, 293, 815, 31185, 1315, 24303, 630, 292, 336, 269, 630, 280, 269, 274, 1040, 3040, 15585, 1049, 5163, 1107, 519, 2121, 18165, 9117, 593, 513, 9325, 11224, 519, 942, 2557, 540, 1689, 540, 922, 16070, 11610, 269, 3040, 1677, 1397, 713, 1107, 519, 2121, 18165, 593, 519, 9325, 23241, 1428, 269, 630, 1556, 269, 1240, 264, 630, 1556, 269, 866, 264, 3040, 7756, 5573, 17817, 630, 1556, 269, 276, 264, 609, 2463, 547, 942, 267, 1210, 519, 4341, 2016, 676, 17817, 630, 1556, 269, 273, 264, 2433, 3040, 634, 2063, 2165, 593, 519, 1318, 538, 519, 1657, 3830, 568, 4642, 1317, 642, 815, 1743, 1315, 19049, 568, 6252, 547, 533, 815, 544, 341, 630, 27393, 1399, 476, 273, 540, 519, 6152, 1587, 1040, 3040, 4475, 267, 3040, 24951, 12307, 630, 1556, 269, 1704, 264, 543, 630, 1556, 269, 1240, 264, 2433, 3040, 11872, 1107, 17817, 630, 1556, 269, 866, 264, 568, 4570, 1152, 952, 2433, 3040, 630, 272, 264, 17986, 354, 22933, 368, 543, 700, 616, 6027, 827, 519, 1482, 5169, 267, 3040, 630, 273, 264, 519, 4082, 568, 4570, 585, 1022, 5169, 6378, 538, 606, 16931, 658, 7406, 269, 11352, 1590, 581, 12873, 2433, 589, 2473, 645, 815, 910, 645, 2473, 589, 634, 2121, 18165, 9117, 593, 513, 9325, 568, 3160, 547, 519, 942, 2557, 540, 1689, 540, 519, 9325, 779, 16070, 11610, 692, 1626, 269, 4911, 983, 28850, 636, 540, 513, 3590, 540, 3487, 2873, 3040, 634, 2698, 16070, 11610, 540, 513, 1062, 540, 5536, 827, 930, 2798, 568, 3989, 607, 519, 6152, 2040, 540, 519, 16070, 4090, 320, 540, 519, 1367, 5536, 2433, 3040, 1141, 519, 6152, 2040, 568, 936, 782, 562, 5536, 538, 519, 1062, 269, 3040, 10572, 16070, 4090, 320, 666, 1689, 609, 942, 267, 865, 666, 519, 2698, 16070, 11610, 269, 3040, 3245, 17817, 630, 1556, 269, 1240, 264, 543, 630, 1556, 269, 866, 264, 1107, 649, 1265, 602, 519, 942, 2557, 540, 1689, 540, 519, 2698, 16070, 11610, 11224, 519, 6152, 2040, 540, 782, 8731, 13196, 9117, 593, 519, 1062, 2433, 4835, 4229, 1063, 5536, 543, 5007, 4229, 269, 3040, 634, 2121, 18165, 2404, 609, 782, 4835, 4229, 568, 4642, 269, 3040, 13053, 779, 3791, 1876, 2433, 4835, 4229, 1063, 5536, 540, 519, 1062, 616, 3160, 538, 9588, 543, 6587, 538, 4287, 269, 3040, 1452, 4229, 9114, 2059, 519, 1899, 540, 9668, 540, 1142, 6292, 540, 5536, 1107, 519, 18165, 1813, 547, 1142, 2962, 3146, 9146, 3196, 6292, 568, 4642, 269, 3040, 2334, 568, 267, 519, 544, 2210, 333, 6186, 546, 689, 744, 547, 519, 1899, 540, 2962, 540, 519, 4229, 568, 3160, 585, 1312, 5536, 269, 3040, 769, 519, 14805, 566, 1107, 519, 4835, 18165, 8709, 8460, 780, 1704, 269, 630, 1556, 269, 736, 264, 586, 642, 544, 678, 1535, 744, 3040, 10390, 1107, 519, 2698, 16070, 11610, 540, 513, 1062, 666, 4268, 609, 942, 1152, 952, 513, 2121, 5007, 18165, 568, 9117, 593, 519, 1062, 2433, 3040, 2334, 568, 2433, 519, 942, 2557, 540, 1689, 540, 519, 2698, 16070, 11610, 540, 513, 1062, 827, 930, 5169, 538, 606, 16931, 658, 7406, 11224, 519, 2121, 5007, 18165, 9117, 593, 519, 1062, 827, 602, 5169, 269, 3040, 8074, 910, 17817, 630, 1556, 269, 736, 264, 568, 519, 24364, 12746, 540, 17817, 630, 280, 269, 4343, 1070, 17986, 354, 293, 2169, 815, 31185, 1315, 24303, 2073, 585, 513, 1062, 540, 5536, 269, 7151, 630, 1556, 269, 275, 264, 2433, 8562, 983, 18289, 589, 9325, 7575, 538, 519, 27976, 7077, 538, 513, 9764, 2619, 540, 8953, 678, 630, 8201, 630, 1556, 269, 1556, 1040, 630, 320, 264, 4855, 519, 9588, 543, 4287, 540, 922, 16070, 11610, 3448, 547, 744, 950, 922, 5276, 6991, 568, 642, 269, 630, 321, 264, 4855, 519, 9588, 543, 4287, 540, 700, 538, 2474, 540, 519, 9325, 779, 16070, 3432, 19569, 371, 269, 7612, 630, 1556, 269, 1556, 2020, 1240, 269, 630, 1556, 269, 13301, 264, 630, 1556, 269, 2918, 264, 3040, 476, 1556, 269, 276, 264, 11094, 540, 4911, 983, 28850, 636, 3040, 11094, 1876, 538, 24364, 5163, 2433, 3040, 3245, 17817, 630, 1556, 269, 736, 264, 2433, 3040, 3973, 2433, 700, 815, 3586, 630, 1556, 269, 1839, 264, 3040, 1280, 513, 1062, 540, 5536, 1107, 519, 5726, 1876, 568, 17986, 354, 700, 333, 815, 3586, 267, 1141, 519, 4994, 562, 18575, 519, 32671, 9325, 538, 519, 1062, 269, 3040, 1403, 519, 2527, 540, 606, 1843, 25457, 23799, 9084, 538, 930, 1259, 25104, 362, 519, 1843, 779, 4090, 540, 24880, 2242, 25104, 362, 922, 16070, 3432, 1689, 1317, 700, 815, 594, 19569, 371, 269, 3040, 634, 5726, 540, 16070, 11610, 568, 6829, 538, 519, 1106, 2433, 3040, 1403, 519, 1062, 568, 606, 1843, 15914, 827, 513, 6378, 7852, 267, 971, 607, 519, 1990, 7852, 2433, 700, 345, 815, 594, 19569, 371, 3040, 1141, 700, 345, 568, 519, 5057, 540, 700, 2059, 519, 7852, 540, 10047, 543, 594, 568, 519, 4090, 540, 24880, 827, 713, 7852, 269, 634, 2698, 16070, 11610, 540, 513, 1062, 568, 3586, 538, 1312, 9588, 543, 4287, 952, 519, 25739, 5007, 18165, 9117, 593, 519, 1062, 568, 4642, 780, 866, 269, 769, 713, 2013, 1107, 519, 5726, 540, 16070, 11610, 568, 2433, 3040, 14497, 7282, 519, 16070, 11610, 540, 606, 1843, 3448, 547, 519, 1843, 779, 4099, 540, 2527, 2433, 3040, 901, 11532, 10039, 1256, 952, 519, 4099, 540, 2527, 568, 23960, 267, 3177, 19569, 368, 543, 700, 616, 11117, 3448, 547, 519, 4099, 540, 2527, 269, 3040, 769, 17817, 630, 1556, 269, 2918, 264, 1107, 3791, 5726, 1876, 547, 1039, 269, 3040, 634, 1648, 267, 5276, 11610, 267, 543, 16070, 11610, 540, 606, 9678, 1062, 782, 2611, 3586, 2433, 630, 1556, 269, 2767, 264, 901, 4082, 568, 4570, 1312, 585, 10047, 827, 513, 6378, 7852, 543, 585, 10047, 827, 606, 7852, 998, 519, 4099, 540, 2527, 540, 513, 3001, 1062, 607, 1279, 607, 602, 7852, 3788, 6252, 547, 3294, 269, 634, 2121, 5007, 18165, 568, 4642, 634, 25739, 18165, 9117, 593, 606, 1843, 827, 606, 7852, 998, 519, 4099, 540, 2527, 11224, 519, 942, 2557, 540, 1689, 540, 16070, 11610, 7488, 540, 519, 5163, 540, 519, 4099, 540, 2527, 269, 14039, 815, 533, 325, 1280, 606, 9678, 1062, 9149, 815, 700, 325, 692, 736, 269, 544, 631, 681, 7151, 630, 1556, 269, 280, 264, 2433, 634, 8585, 787, 268, 7883, 7304, 895, 589, 8880, 3760, 538, 519, 3337, 540, 513, 9764, 12210, 29226, 538, 513, 8880, 7077, 827, 513, 11508, 1652, 7299, 4949, 548, 630, 8201, 630, 1556, 269, 1626, 26895, 634, 3760, 814, 513, 2527, 631, 815, 476, 1911, 4846, 543, 513, 8953, 681, 815, 476, 273, 269, 271, 544, 269, 589, 2875, 4171, 2527, 568, 544, 815, 476, 2568, 4846, 15211, 7444, 689, 519, 26079, 540, 519, 12210, 4724, 922, 4099, 269, 1403, 519, 16070, 3432, 540, 519, 1062, 568, 476, 273, 269, 271, 2234, 4882, 950, 519, 2875, 568, 693, 519, 26079, 267, 1018, 568, 519, 16070, 3432, 950, 646, 814, 6603, 513, 1448, 678, 815, 476, 271, 269, 2004, 544, 689, 519, 4099, 286, 7612, 630, 1556, 269, 1626, 2020, 2641, 269, 7151, 630, 1556, 269, 1015, 264, 2433, 634, 1975, 15619, 645, 5390, 2193, 24747, 769, 513, 5172, 4928, 17431, 267, 513, 2875, 6585, 519, 4949, 548, 540, 513, 18343, 17919, 8868, 1247, 27206, 593, 513, 22454, 602, 568, 1863, 547, 17967, 630, 8201, 630, 1556, 269, 1704, 1040, 634, 2875, 543, 22454, 616, 7620, 693, 1964, 1247, 519, 8868, 568, 18343, 538, 513, 8880, 7077, 609, 606, 3355, 16070, 11610, 9149, 602, 2798, 16057, 269, 1879, 519, 8868, 568, 30141, 827, 922, 4099, 676, 476, 5197, 334, 267, 519, 2875, 543, 22454, 1376, 15914, 269, 769, 2474, 540, 9149, 267, 1018, 616, 519, 9588, 543, 519, 4287, 540, 700, 585, 519, 2875, 7132, 22454, 2496, 2420, 269, 2991, 6969, 642, 10972, 815, 476, 274, 269, 271, 544, 4882, 642, 4206, 476, 273, 269, 271, 544, 19569, 371, 5288, 7151, 630, 1556, 269, 1556, 264, 2433, 2598, 330, 543, 25529, 589, 476, 273, 269, 271, 10275, 326, 12210, 10707, 693, 476, 274, 269, 271, 544, 4882, 16716, 513, 476, 272, 269, 271, 10275, 326, 6529, 602, 568, 14084, 6366, 593, 5176, 11508, 1652, 4672, 630, 8201, 630, 1556, 269, 1240, 1040, 27539, 602, 519, 16580, 568, 13412, 269, 4855, 519, 6037, 1049, 3432, 540, 519, 12210, 267, 519, 6037, 1049, 3432, 540, 519, 6529, 267, 543, 519, 24364, 3432, 540, 519, 6529, 1310, 519, 16580, 269, 634, 4090, 540, 24880, 540, 519, 6529, 827, 922, 4099, 540, 2527, 568, 476, 272, 269, 3451, 4846, 6440, 332, 273, 269, 7612, 630, 1556, 269, 1240, 264, 0, 258, 28217, 9654, 302, 4785, 962, 292, 2752, 6673, 2316, 307, 11070, 292, 32530, 16739, 11123, 9399, 290, 595, 21923, 692, 2162, 28217, 9654, 302, 4785, 962, 292, 2752, 6673, 2316, 307, 11070, 292, 32530, 16739, 11123, 9399, 290, 595, 21923, 476, 1109, 303, 11286, 273, 692, 9223, 476, 272, 269, 589, 10958, 3126, 540, 476, 1428, 9077, 476, 736, 260, 543, 476, 1839, 260, 568, 3160, 547, 519, 2582, 10958, 540, 2496, 272, 264, 476, 4366, 30515, 273, 264, 476, 5392, 30515, 274, 264, 476, 2004, 30515, 275, 264, 476, 7906, 30515, 9223, 476, 273, 10611, 338, 269, 476, 275, 3445, 568, 5258, 1851, 589, 267, 645, 543, 595, 971, 602, 589, 779, 2671, 568, 3368, 602, 540, 645, 779, 543, 4278, 823, 602, 540, 595, 779, 269, 1548, 568, 595, 779, 2671, 2496, 272, 264, 12652, 269, 5392, 692, 273, 264, 12652, 269, 15704, 692, 274, 264, 12652, 269, 29848, 692, 275, 264, 12652, 269, 25090, 692, 9223, 476, 274, 6993, 31066, 4421, 606, 2376, 693, 476, 277, 260, 2530, 269, 16874, 646, 4421, 621, 585, 12652, 269, 476, 5038, 811, 267, 646, 1131, 723, 1500, 513, 7443, 540, 476, 1015, 10065, 3973, 519, 1942, 540, 519, 2376, 568, 692, 272, 264, 12652, 269, 6110, 692, 273, 264, 12652, 269, 1220, 692, 274, 264, 12652, 269, 13932, 692, 275, 264, 12652, 269, 275, 5038, 692, 9223, 476, 275, 269, 2467, 616, 476, 9610, 271, 1053, 538, 513, 1153, 267, 476, 1839, 260, 540, 1346, 5957, 4715, 8163, 543, 476, 273, 270, 278, 540, 1346, 9849, 4715, 8163, 616, 8695, 269, 1215, 1082, 6690, 538, 519, 1153, 5957, 4715, 8163, 2496, 272, 264, 476, 7742, 692, 273, 264, 476, 1911, 692, 274, 264, 476, 1220, 692, 275, 264, 476, 4968, 692, 9223, 476, 276, 6993, 812, 666, 4737, 25318, 693, 476, 1321, 5998, 10774, 337, 543, 19654, 693, 476, 1240, 5998, 10774, 337, 269, 634, 812, 779, 4737, 532, 3432, 538, 1869, 4248, 568, 692, 272, 264, 476, 1428, 5998, 10774, 337, 692, 273, 264, 476, 276, 5998, 10774, 337, 692, 274, 264, 476, 274, 5998, 10774, 337, 692, 275, 264, 476, 1015, 5998, 10774, 337, 692, 9223, 476, 277, 7868, 1871, 540, 630, 1091, 266, 339, 383, 371, 546, 338, 264, 21680, 24303, 1131, 581, 692, 272, 264, 546, 273, 4433, 266, 339, 2020, 273, 264, 476, 272, 692, 274, 264, 476, 271, 692, 275, 264, 546, 338, 2389, 692, 9223, 476, 278, 10422, 6372, 3800, 540, 1614, 7285, 540, 513, 6906, 616, 692, 272, 264, 476, 3451, 4113, 267, 476, 5655, 4113, 267, 476, 12893, 4113, 692, 273, 264, 476, 2412, 4113, 267, 476, 3583, 4113, 267, 476, 3199, 4113, 692, 274, 264, 476, 1789, 4113, 267, 476, 2568, 4113, 267, 476, 1911, 4113, 692, 275, 264, 476, 2004, 4113, 267, 476, 2568, 4113, 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 ]

[ 8257, 10986, 786, 1683, 596, 609, 13711, 10297, 267, 799, 21656, 13381, 1216, 267, 543, 799, 2161, 968, 2710, 711, 4235, 5608, 607, 513, 9963, 602, 621, 568, 711, 6704, 1216, 563, 4322, 10297, 1590, 581, 3413, 12089, 547, 1142, 540, 519, 11149, 538, 799, 519, 13381, 4677, 1216, 786, 581, 5645, 563, 763, 667, 310, 303, 814, 5227, 602, 11149, 1031, 547, 3560, 13381, 1216, 581, 9395, 2000, 1342, 539, 563, 1103, 713, 5769, 2232, 596, 666, 1265, 519, 4025, 538, 11968, 13353, 1141, 789, 6133, 2011, 31259, 11149, 543, 519, 2010, 610, 3631, 789, 6133, 269, 8409, 5461, 666, 1289, 1346, 21527, 585, 811, 1344, 267, 3787, 269, 569, 270, 274, 322, 309, 289, 13052, 333, 454, 3725, 7094, 539, 1216, 585, 11968, 13353, 568, 835, 540, 26302, 25661, 31899, 779, 1034, 16529, 4566, 563, 1103, 3735, 476, 1001, 280, 267, 519, 26302, 3459, 547, 10244, 1216, 9657, 538, 513, 1259, 602, 568, 6069, 547, 581, 476, 1911, 2600, 1216, 9657, 676, 476, 10711, 276, 563, 2108, 16655, 30093, 11968, 13353, 779, 9657, 4390, 786, 2333, 519, 2179, 540, 1216, 649, 1205, 12725, 543, 948, 2327, 602, 19664, 523, 657, 666, 1293, 593, 1569, 547, 2973, 1216, 585, 5481, 547, 2097, 2223, 519, 25650, 1767, 693, 519, 942, 269, 0, 763, 1297, 540, 5950, 3165, 568, 2810, 2059, 519, 3162, 9533, 5032, 543, 5355, 519, 1344, 593, 891, 3165, 568, 2565, 547, 1434, 2359, 269, 15394, 267, 1239, 568, 6394, 2901, 693, 2703, 802, 610, 24319, 616, 2366, 856, 547, 7747, 3165, 593, 519, 1216, 267, 855, 891, 616, 791, 24411, 10386, 2409, 585, 713, 1382, 269, 18299, 523, 3744, 689, 519, 10068, 2146, 616, 2877, 547, 948, 5531, 1344, 593, 5950, 13719, 1216, 1423, 704, 630, 14937, 267, 717, 698, 267, 14117, 21129, 267, 2480, 2086, 267, 14117, 17625, 267, 4414, 267, 9412, 13130, 267, 4414, 13130, 267, 595, 2292, 267, 543, 3400, 903, 2421, 264, 543, 4414, 10965, 1952, 518, 563, 6347, 293, 10157, 24793, 568, 24428, 593, 519, 1863, 5985, 813, 2233, 293, 880, 269, 901, 813, 568, 513, 1907, 29940, 666, 946, 547, 1683, 2565, 1239, 593, 519, 3165, 789, 5305, 267, 971, 607, 3259, 267, 3178, 540, 5305, 267, 4767, 16356, 32456, 267, 543, 519, 946, 540, 3046, 582, 571, 6373, 5786, 2645, 899, 27312, 3457, 563, 2026, 811, 29940, 7119, 543, 811, 1239, 616, 10356, 267, 519, 1344, 6394, 998, 14408, 293, 10157, 24793, 786, 948, 7110, 4540, 1239, 2959, 543, 666, 948, 1217, 6006, 10526, 543, 2359, 269, 0, 293, 3306, 569, 13268, 539, 281, 1452, 5452, 616, 14095, 585, 519, 1699, 3395, 4005, 543, 786, 1683, 1164, 23286, 3928, 1985, 1032, 607, 1134, 563, 7093, 26606, 13268, 1645, 281, 2353, 5452, 689, 634, 6196, 10787, 1067, 779, 1325, 2006, 659, 616, 26437, 538, 14350, 18908, 1194, 21168, 4998, 585, 13344, 267, 4859, 610, 7525, 946, 269, 3962, 17142, 10525, 519, 8768, 267, 10448, 267, 2030, 610, 10786, 3099, 593, 519, 4395, 609, 5528, 543, 2030, 5013, 593, 519, 1394, 563, 11321, 580, 9529, 616, 14463, 543, 2653, 547, 1332, 952, 2016, 14246, 543, 7509, 269, 1358, 2811, 6126, 16280, 610, 856, 538, 513, 2647, 3099, 540, 5468, 269, 590, 578, 13964, 1310, 519, 2063, 15470, 267, 610, 2253, 16280, 476, 277, 268, 279, 4374, 1991, 269, 7233, 476, 273, 268, 274, 5452, 1927, 538, 5848, 267, 1134, 1673, 11712, 3037, 269, 3057, 580, 9529, 4782, 2407, 3141, 543, 666, 20496, 10651, 12155, 547, 3002, 267, 10980, 543, 10036, 11934, 269, 4826, 1134, 693, 519, 3490, 540, 519, 2030, 267, 711, 689, 16841, 267, 543, 1450, 3037, 547, 3819, 10169, 1063, 1216, 902, 269, 4826, 811, 538, 1164, 3002, 563, 289, 5979, 4040, 5458, 256, 15434, 14982, 329, 871, 2371, 949, 2154, 2038, 7196, 1489, 952, 28480, 9843, 1332, 1932, 5230, 543, 2014, 2566, 547, 519, 2030, 563, 15761, 754, 519, 4005, 256, 3057, 580, 9529, 1810, 1405, 2154, 4666, 3650, 532, 282, 855, 8930, 4221, 1055, 12955, 32395, 786, 5000, 1007, 5810, 563, 310, 527, 1299, 27067, 281, 1280, 1296, 267, 6705, 723, 3769, 519, 1930, 1790, 3326, 3990, 3979, 2261, 580, 1245, 2048, 290, 571, 14982, 329, 871, 685, 538, 9269, 3049, 547, 1118, 4212, 586, 565, 802, 513, 18632, 5835, 269, 3367, 634, 6196, 10787, 1067, 781, 1325, 2006, 659, 3057, 580, 1245, 19663, 6651, 2336, 4467, 3966, 542, 31896, 281, 3057, 580, 9529, 1118, 1390, 13959, 2371, 585, 782, 10448, 10651, 1317, 789, 1065, 601, 30293, 1299, 22404, 563, 20055, 2659, 12518, 28202, 633, 609, 1284, 539, 6513, 281, 1284, 2644, 14526, 609, 5388, 267, 5810, 543, 824, 2371, 585, 1216, 267, 2230, 543, 5567, 269, 12315, 707, 2371, 741, 1655, 1272, 676, 5329, 18047, 896, 1852, 609, 17667, 1284, 539, 4446, 8175, 7433, 267, 22890, 610, 6297, 649, 5338, 563, 268, 910, 910, 910, 20620, 288, 5254, 7968, 5174, 312, 4149, 307, 7968, 30316, 22432, 9215, 670, 2752, 309, 2464, 16249, 30316, 22432, 9215, 670, 2752, 309, 2464, 16249, 27107, 5456, 5357, 291, 10323, 3633, 306, 454, 3080, 540, 519, 1655, 1919, 827, 3057, 580, 9529, 568, 875, 2653, 621, 568, 547, 7556, 741, 5452, 585, 2104, 946, 563, 4306, 7968, 476, 272, 281, 623, 6020, 3036, 9215, 670, 2752, 309, 2464, 16249, 267, 27107, 5456, 5357, 291, 19154, 302, 302, 5960, 631, 19851, 18688, 19010, 312, 454, 2005, 779, 1360, 1271, 547, 7556, 3057, 580, 1245, 5452, 693, 519, 1318, 942, 269, 20613, 1746, 1932, 1279, 1107, 950, 519, 18742, 616, 4625, 6960, 910, 666, 2014, 519, 5452, 547, 4358, 4232, 1154, 610, 6721, 9044, 282, 855, 5452, 19122, 1932, 2038, 1522, 711, 581, 15417, 269, 4643, 593, 16276, 5452, 950, 519, 3057, 580, 1245, 18742, 616, 3819, 693, 519, 3490, 543, 616, 1175, 4358, 547, 2490, 6960, 693, 519, 9133, 269, 1403, 519, 3490, 540, 519, 16036, 1869, 814, 513, 2370, 3787, 540, 3039, 267, 602, 779, 15528, 563, 2252, 707, 18742, 1413, 4712, 282, 3274, 4894, 1142, 835, 689, 922, 6565, 563, 4306, 7968, 476, 273, 281, 717, 7728, 14877, 20525, 2894, 661, 21815, 27107, 5456, 5357, 291, 10323, 3633, 623, 7495, 454, 22998, 593, 513, 6366, 2627, 282, 3180, 519, 3490, 540, 1142, 16036, 543, 4894, 519, 3762, 543, 24968, 269, 1452, 666, 581, 16207, 2476, 282, 649, 786, 711, 581, 16276, 713, 851, 269, 4495, 891, 723, 1044, 6569, 267, 1930, 909, 519, 10540, 543, 596, 786, 1294, 782, 540, 519, 2370, 5452, 3330, 7923, 547, 519, 3490, 269, 18734, 782, 540, 519, 1930, 10540, 338, 547, 513, 6676, 610, 513, 1957, 24621, 543, 1305, 11735, 563, 4306, 7968, 476, 274, 281, 31087, 10976, 292, 5990, 10323, 3633, 306, 454, 11321, 580, 1245, 5452, 616, 1279, 543, 6094, 282, 616, 4158, 593, 835, 2427, 543, 14402, 593, 519, 824, 563, 12648, 1142, 10540, 267, 543, 4894, 519, 5452, 689, 519, 3490, 676, 9900, 17444, 269, 4495, 782, 540, 519, 5452, 616, 6569, 689, 519, 10540, 338, 267, 3262, 873, 856, 593, 513, 1957, 24621, 543, 1167, 731, 519, 10540, 338, 563, 4306, 7968, 476, 275, 281, 19010, 312, 19010, 312, 19010, 312, 454, 1103, 1931, 547, 4558, 3057, 580, 1245, 5452, 543, 547, 2327, 789, 4465, 1406, 979, 3983, 267, 789, 991, 547, 581, 4625, 12015, 856, 269, 9255, 5452, 593, 606, 20114, 1957, 24621, 593, 513, 4831, 543, 1450, 547, 2011, 3819, 269, 1358, 1058, 581, 4712, 547, 581, 6740, 2476, 538, 827, 476, 278, 2395, 563, 4306, 7968, 476, 276, 281, 5254, 3036, 17803, 454, 5629, 707, 3057, 580, 1245, 5452, 616, 12015, 856, 1747, 873, 538, 513, 1957, 23508, 269, 7433, 568, 4998, 585, 4859, 607, 1210, 5068, 11435, 666, 1450, 519, 5452, 547, 11677, 7509, 799, 786, 6038, 1118, 519, 5452, 979, 3983, 269, 5213, 1406, 7340, 547, 6003, 1142, 23508, 952, 596, 1185, 2789, 8677, 540, 3057, 580, 9529, 865, 596, 917, 1018, 547, 2503, 1985, 4005, 269, 1452, 17158, 525, 1058, 581, 6740, 538, 513, 3579, 3819, 1747, 2394, 4712, 547, 581, 12630, 563, 2316, 303, 281, 1403, 596, 1185, 606, 11606, 540, 2261, 580, 1245, 5452, 282, 30164, 519, 17158, 525, 543, 2285, 930, 5452, 2476, 607, 13344, 2336, 6701, 2659, 25994, 6348, 8566, 19616, 286, 1548, 6496, 6348, 8566, 19616, 6399, 888, 15239, 8566, 19616, 1797, 5452, 630, 528, 824, 2472, 264, 602, 941, 3812, 1510, 4719, 4702, 543, 941, 711, 6508, 689, 10648, 11675, 630, 7049, 13443, 3525, 1881, 5029, 3359, 1040, 2353, 540, 938, 5452, 616, 1875, 8566, 19616, 563, 8489, 798, 2659, 25994, 22067, 3245, 888, 7197, 540, 519, 5452, 6035, 593, 938, 3135, 616, 7330, 18882, 5452, 21433, 689, 14468, 2475, 1759, 14273, 269, 1284, 798, 849, 2707, 513, 1507, 1297, 540, 5452, 689, 824, 2477, 269, 1677, 2070, 519, 1808, 5169, 540, 1022, 540, 938, 1699, 6079, 17008, 267, 2638, 519, 6079, 17142, 610, 1413, 538, 519, 16551, 585, 834, 15575, 787, 540, 18882, 257, 593, 1022, 1587, 2985, 563, 6701, 2659, 25994, 13268, 539, 585, 519, 7351, 19663, 17897, 888, 5472, 540, 938, 6079, 21168, 616, 14095, 585, 519, 1699, 3395, 4005, 269, 1403, 6740, 5265, 789, 786, 1683, 1164, 23286, 3928, 585, 476, 272, 268, 273, 3606, 1296, 607, 1134, 563, 1692, 2052, 594, 15188, 3733, 25994, 15822, 569, 585, 2422, 538, 519, 8892, 888, 5978, 5452, 786, 3622, 11677, 741, 1164, 23286, 3928, 585, 1896, 1296, 689, 519, 4266, 540, 6718, 269, 1403, 596, 2811, 4058, 593, 9494, 707, 5452, 585, 721, 538, 519, 2104, 267, 519, 1034, 1271, 3364, 547, 3314, 602, 5452, 899, 547, 581, 6740, 1141, 621, 568, 3579, 267, 3819, 543, 4158, 269, 634, 15864, 1259, 547, 2327, 713, 585, 1279, 2165, 4859, 693, 1753, 568, 547, 5595, 5498, 531, 707, 5452, 3330, 1079, 1990, 23124, 2511, 11435, 543, 1287, 1747, 873, 538, 519, 29606, 269, 630, 13014, 2386, 596, 6003, 707, 5452, 585, 2104, 4704, 952, 789, 2811, 711, 538, 3312, 11183, 4700, 1879, 596, 2811, 4712, 547, 2030, 707, 5452, 267, 1491, 1175, 519, 3283, 596, 1616, 547, 946, 856, 540, 519, 29606, 543, 1577, 873, 1694, 593, 513, 4831, 267, 538, 513, 4988, 8708, 267, 585, 513, 1906, 2395, 547, 555, 1177, 543, 24644, 1354, 1373, 12630, 269, 1677, 8190, 23286, 3928, 267, 7413, 2837, 267, 1769, 543, 11195, 15088, 676, 13936, 707, 5452, 693, 519, 1394, 540, 519, 29606, 543, 1152, 2921, 873, 856, 950, 596, 2811, 4712, 547, 946, 873, 563, 763, 13268, 720, 609, 1250, 25994, 538, 729, 19382, 31072, 538, 5131, 4506, 543, 5924, 14175, 344, 16661, 269, 4024, 519, 25994, 12846, 4518, 888, 2026, 1279, 607, 707, 5452, 723, 711, 20335, 6632, 789, 1058, 960, 5386, 269, 5131, 4506, 5210, 786, 711, 10413, 519, 5452, 563, 763, 6196, 10787, 1067, 781, 1325, 2006, 659, 20031, 1756, 3057, 580, 1245, 25994, 630, 290, 571, 14982, 329, 871, 17186, 994, 16085, 3975, 4032, 1475, 7343, 6918, 2954, 476, 6110, 25994, 2008, 19064, 17977, 585, 5729, 1475, 1708, 273, 910, 1452, 5452, 616, 14095, 585, 519, 1699, 3395, 4005, 543, 786, 1683, 1164, 23286, 3928, 1985, 1032, 607, 1134, 8198, 16085, 3975, 7392, 1475, 15239, 8566, 19616, 267, 20031, 1756, 267, 7046, 15724, 3990, 267, 27003, 2008, 347, 26773, 1465, 18630, 1475, 4785, 6395, 476, 273, 268, 1556, 2008, 347, 26199, 630, 31142, 264, 8745, 1475, 30357, 26347, 661, 5550, 320, 2008, 347, 8448, 630, 13349, 264, 18780, 1475, 28893, 3057, 580, 1245, 267, 1977, 3057, 580, 1245, 267, 25069, 322, 3057, 580, 1245, 2008, 347, 2691, 547, 7233, 1475, 306, 7428, 2008, 347, 5522, 13589, 3493, 628, 1475, 272, 270, 275, 769, 577, 2008, 347, 24456, 1975, 5217, 1475, 277, 268, 280, 769, 2583, 2008, 31340, 578, 1975, 5217, 1475, 1321, 268, 1240, 769, 2583, 2008, 347, 23409, 2776, 12401, 1475, 17359, 6129, 2008, 347, 3383, 559, 2776, 12401, 1475, 30182, 267, 7720, 626, 267, 4270, 667, 11712, 2008, 23277, 334, 626, 675, 2776, 12401, 1475, 12850, 1134, 693, 519, 3490, 540, 519, 2030, 267, 711, 689, 16841, 267, 543, 1450, 3037, 547, 3819, 10169, 1063, 1216, 902, 269, 4826, 811, 538, 1164, 3002, 8198, 347, 11742, 547, 2885, 1588, 1475, 278, 268, 1691, 17963, 2008, 347, 11742, 547, 4223, 12053, 1315, 28610, 1475, 6507, 268, 10019, 17963, 2008, 347, 294, 9512, 13206, 527, 1475, 289, 639, 1506, 772, 1440, 697, 2008, 347, 24456, 27551, 1475, 2190, 268, 3607, 769, 2583, 2008, 347, 24456, 24619, 1475, 277, 268, 1321, 769, 2583, 2008, 26180 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1691, 692, 343, 815, 476, 275, 692, 10831, 9038, 8385, 815, 476, 736, 692, 10831, 8951, 8385, 815, 476, 2764, 0, 258, 14572, 4645, 4834, 268, 853, 3089, 693, 519, 5595, 5086, 8468, 5055, 692, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 6187, 281, 6795, 6751, 454, 1723, 2120, 7666, 344, 454, 306, 6295, 4645, 4834, 268, 853, 3089, 693, 519, 5595, 5086, 8468, 5055, 454, 296, 1265, 621, 2182, 547, 1826, 519, 1966, 593, 519, 2780, 267, 865, 594, 3769, 513, 4605, 609, 513, 4063, 593, 1141, 594, 993, 12758, 269, 594, 917, 594, 666, 1405, 7941, 834, 272, 257, 676, 834, 7562, 273, 9064, 257, 547, 1205, 476, 1789, 5232, 267, 865, 594, 1810, 1405, 917, 1018, 547, 798, 1985, 269, 8729, 780, 10674, 2517, 19112, 19657, 582, 984, 3089, 564, 2593, 270, 531, 321, 4548, 23218, 277, 1862, 272, 18025, 6200, 23669, 272, 27970, 454, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5881, 281, 1428, 6751, 454, 297, 9655, 295, 297, 454, 7445, 6234, 5609, 630, 273, 24592, 264, 815, 476, 272, 14204, 7445, 6234, 1422, 2117, 7562, 630, 272, 264, 815, 476, 273, 24592, 14204, 7445, 6234, 1422, 2765, 11513, 2117, 7562, 630, 272, 20972, 273, 348, 815, 1422, 9064, 6911, 763, 20534, 1599, 568, 476, 272, 693, 476, 3445, 5232, 610, 4399, 6234, 1422, 2765, 11513, 7032, 2410, 273, 21456, 11997, 267, 4399, 6234, 1422, 9064, 815, 1422, 2765, 11513, 7032, 2410, 273, 21456, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 6860, 6751, 454, 1723, 2120, 7666, 344, 454, 32621, 1384, 23192, 17397, 676, 21013, 295, 297, 454, 7445, 6234, 5609, 630, 273, 24592, 264, 815, 476, 272, 14204, 7445, 6234, 1422, 2117, 7562, 630, 272, 264, 815, 476, 273, 24592, 14204, 7445, 6234, 1422, 2765, 11513, 2117, 7562, 630, 272, 20972, 273, 348, 815, 1422, 9064, 6911, 763, 20534, 1599, 568, 476, 272, 693, 476, 3445, 5232, 610, 4399, 6234, 1422, 2765, 11513, 7032, 2410, 273, 21456, 11997, 267, 4399, 6234, 1422, 9064, 815, 1422, 2765, 11513, 7032, 2410, 273, 10592, 12552, 267, 855, 519, 2626, 594, 993, 2016, 585, 519, 1966, 568, 281, 834, 3393, 4113, 2668, 1284, 10093, 1405, 2944, 9095, 7562, 2943, 563, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 2420, 6751, 454, 297, 9655, 295, 297, 454, 302, 3591, 267, 519, 2626, 568, 5609, 476, 3393, 269, 594, 5921, 547, 1826, 14039, 270, 275, 269, 9282, 267, 952, 596, 616, 3257, 4645, 9163, 596, 1058, 723, 8854, 936, 9095, 7562, 267, 799, 568, 519, 11201, 1599, 540, 20534, 563, 1892, 4924, 476, 736, 628, 476, 1220, 280, 267, 476, 5400, 281, 2190, 6751, 454, 3725, 1188, 517, 518, 454, 32621, 1384, 23192, 17397, 676, 1071, 2120, 7666, 344, 454, 296, 1265, 621, 2182, 547, 1826, 519, 1966, 593, 519, 2780, 267, 865, 594, 3769, 513, 4605, 609, 513, 4063, 593, 1141, 594, 993, 12758, 269, 594, 917, 594, 666, 1405, 7941, 834, 272, 257, 676, 834, 7562, 273, 9064, 257, 547, 1205, 476, 1789, 5232, 267, 865, 594, 1810, 1405, 917, 1018, 547, 798, 1985, 269, 8729, 780, 2026, 596, 723, 2854, 267, 4399, 6234, 476, 271, 23373, 15132, 315, 19008, 273, 24592, 283, 24798, 23373, 15132, 20728, 269, 259, 7316, 267, 538, 519, 8884, 4399, 6234, 476, 271, 23373, 15132, 315, 19008, 315, 12978, 283, 24798, 23373, 15132, 8961, 568, 4399, 6234, 1422, 7562, 315, 12978, 259, 3160, 547, 476, 272, 286, 2334, 1131, 581, 4399, 6234, 1422, 12978, 815, 476, 3445, 23373, 15132, 267, 476, 14596, 23373, 15132, 20728, 269, 259, 1809, 538, 938, 2013, 267, 519, 5086, 568, 4399, 6234, 1422, 12978, 815, 476, 273, 24592, 20728, 269, 259, 1924, 692, 7445, 6234, 476, 273, 24592, 815, 476, 3445, 23373, 15132, 315, 23976, 24592, 815, 476, 3393, 23373, 15132, 6911, 663, 692, 7445, 6234, 476, 273, 24592, 815, 476, 14596, 23373, 15132, 315, 23976, 24592, 815, 476, 18597, 23373, 15132, 20728, 269, 6911, 2252, 596, 12990, 891, 1394, 883, 519, 3312, 3830, 267, 596, 3513, 1294, 602, 519, 3070, 568, 4399, 6234, 476, 3393, 23373, 15132, 267, 259, 543, 519, 2034, 5086, 540, 4399, 6234, 476, 18597, 23373, 15132, 259, 568, 606, 970, 8735, 748, 3070, 5189, 950, 596, 16302, 1312, 5011, 269, 0, 258, 13658, 17564, 692, 763, 3017, 1063, 513, 1297, 543, 922, 1079, 1922, 604, 628, 568, 476, 27944, 269, 1548, 568, 476, 1015, 260, 540, 602, 1297, 26042, 17345, 8745, 281, 26592, 589, 696, 3363, 692, 1892, 476, 272, 6540, 4037, 692, 1892, 476, 273, 6540, 5952, 692, 1892, 476, 274, 6540, 4817, 692, 1892, 476, 275, 6540, 10755, 692, 7462, 8827, 454, 5591, 8827, 10558, 8616, 692, 2971, 5440, 476, 276, 5381, 13658, 910, 9122, 2201, 3642, 261, 7876, 692, 5226, 714, 24805, 566, 3590, 16286, 13017, 910, 4179, 2517, 325, 637, 615, 10428, 6709, 714, 268, 777, 328, 269, 12516, 31343, 1952, 2593, 11721, 637, 615, 10428, 318, 638, 714, 318, 777, 328, 692, 258, 13658, 454, 272, 454, 28097, 692, 1432, 2600, 568, 476, 274, 260, 540, 476, 276, 260, 26042, 1892, 476, 272, 6540, 2568, 30515, 1892, 476, 273, 6540, 1428, 30515, 1892, 476, 274, 6540, 2004, 30515, 1892, 476, 275, 6540, 1789, 30515, 7462, 8827, 454, 273, 454, 28097, 692, 1789, 260, 540, 513, 1297, 950, 10208, 539, 689, 476, 11011, 267, 3947, 519, 1297, 3294, 269, 4855, 519, 1297, 780, 1892, 476, 272, 316, 476, 2568, 454, 1892, 476, 273, 316, 476, 4792, 454, 1892, 476, 274, 316, 476, 4037, 454, 1892, 476, 275, 316, 476, 3583, 454, 1892, 476, 276, 316, 7183, 540, 891, 454, 7462, 8827, 454, 274, 454, 28097, 692, 1103, 519, 2487, 267, 2916, 10554, 538, 1715, 3840, 267, 856, 540, 476, 10384, 2367, 267, 476, 4335, 2021, 267, 476, 8517, 1453, 1459, 3330, 519, 2679, 22402, 267, 476, 736, 260, 540, 519, 2367, 267, 476, 2412, 260, 540, 519, 2021, 543, 476, 1015, 260, 540, 519, 1453, 941, 12075, 269, 4855, 519, 6871, 540, 1004, 945, 941, 711, 4095, 2496, 1892, 476, 272, 316, 476, 6507, 14999, 1892, 476, 273, 316, 476, 10463, 14999, 1892, 476, 274, 316, 476, 8064, 14999, 1892, 476, 275, 316, 476, 10695, 14999, 7462, 8827, 454, 275, 454, 28097, 692, 763, 4009, 540, 513, 2318, 1297, 568, 476, 1220, 271, 260, 3152, 982, 519, 1297, 3294, 267, 1287, 519, 4009, 540, 602, 1297, 568, 23241, 1892, 476, 272, 316, 476, 12293, 273, 454, 1892, 476, 273, 316, 476, 14321, 276, 454, 1892, 476, 274, 316, 476, 4510, 272, 454, 1892, 476, 275, 316, 476, 16928, 454, 7462, 8827, 454, 276, 454, 28097, 692, 10376, 2427, 540, 513, 14328, 2361, 21022, 676, 476, 2412, 10065, 1635, 875, 1454, 829, 1298, 568, 519, 1858, 540, 519, 2361, 21022, 2496, 1892, 476, 272, 316, 476, 3953, 14999, 1892, 476, 273, 316, 476, 5038, 14999, 1892, 476, 274, 316, 476, 1839, 14999, 1892, 476, 275, 316, 476, 1626, 14999, 7462, 8827, 454, 277, 454, 28097, 692, 763, 2551, 540, 513, 4884, 4679, 1169, 1032, 676, 476, 275, 10065, 1403, 922, 1459, 2551, 568, 476, 2004, 267, 1822, 267, 1287, 1310, 476, 273, 1296, 621, 786, 581, 692, 1892, 476, 272, 316, 476, 7871, 267, 12010, 454, 1892, 476, 273, 316, 476, 7918, 267, 1822, 454, 1892, 476, 274, 316, 476, 7918, 267, 24699, 454, 1892, 476, 275, 316, 476, 7918, 267, 12010, 454, 7462, 8827, 454, 278, 454, 28097, 692, 8310, 1032, 267, 519, 2551, 540, 513, 4884, 729, 1535, 543, 952, 621, 4679, 693, 519, 1482, 2557, 267, 1985, 1032, 621, 786, 581, 586, 269, 519, 1459, 2551, 540, 519, 4884, 568, 692, 1892, 476, 272, 6540, 1892, 476, 273, 6540, 1892, 476, 274, 6540, 1892, 476, 275, 6540, 7462, 8827, 454, 279, 454, 28097, 692, 288, 6075, 12134, 585, 519, 2504, 540, 1535, 1297, 540, 5370, 269, 634, 2754, 7472, 586, 1297, 540, 5370, 3232, 269, 4934, 540, 799, 1990, 260, 616, 4559, 585, 9042, 269, 634, 1931, 786, 581, 6192, 538, 23241, 1892, 476, 272, 6540, 17058, 692, 1892, 476, 273, 6540, 17058, 692, 1892, 476, 274, 6540, 17058, 692, 1892, 476, 275, 6540, 17058, 692, 1892, 476, 276, 6540, 4692, 2254, 5462, 692, 7462, 8827, 454, 280, 454, 28097, 692, 1103, 606, 9550, 513, 11134, 945, 4991, 1109, 10019, 260, 1109, 1993, 519, 16018, 568, 11221, 676, 513, 5354, 540, 1109, 5325, 277, 1109, 341, 4925, 269, 1548, 568, 519, 2698, 1297, 540, 16018, 1135, 1194, 2496, 1892, 476, 272, 6540, 6858, 273, 692, 1892, 476, 273, 6540, 10384, 692, 1892, 476, 274, 6540, 278, 5392, 692, 1892, 476, 275, 6540, 279, 4366, 692, 7462, 8827, 454, 1015, 454, 28097, 692, 1103, 513, 8047, 4603, 267, 513, 3732, 540, 2011, 799, 568, 513, 7848, 540, 5135, 543, 1216, 32350, 568, 3144, 269, 4826, 32350, 267, 3568, 7250, 543, 5135, 9362, 269, 1403, 2011, 3568, 513, 2698, 540, 476, 3583, 260, 5135, 630, 10175, 602, 8659, 538, 519, 1216, 32350, 264, 676, 2597, 1247, 1216, 32350, 3568, 476, 1626, 269, 5780, 260, 540, 5135, 676, 2597, 267, 875, 1082, 13532, 540, 1216, 32350, 568, 1459, 538, 476, 272, 11304, 540, 2011, 2496, 1892, 476, 272, 6540, 271, 269, 736, 692, 1892, 476, 273, 6540, 271, 269, 3607, 692, 1892, 476, 274, 6540, 271, 269, 3953, 692, 1892, 476, 275, 6540, 271, 269, 1839, 692, 258, 13658, 0, 293, 2632, 1384, 258, 17006, 543, 16265, 24219, 7089, 547, 476, 1911, 692, 1805, 8681, 281, 7089, 454, 11073, 3699, 281, 476, 279, 267, 476, 280, 692, 1012, 5153, 476, 273, 281, 14419, 15845, 540, 9906, 4804, 692, 2162, 2871, 4575, 5999, 692, 1892, 1548, 2963, 786, 594, 1413, 585, 547, 917, 602, 1565, 814, 7018, 888, 1892, 1548, 1058, 1053, 6542, 547, 1397, 741, 1620, 540, 519, 6310, 2035, 267, 1983, 543, 8262, 14313, 2496, 2162, 4635, 19793, 22777, 25824, 2209, 692, 2026, 596, 2253, 4058, 4245, 543, 1565, 2238, 267, 1832, 538, 2247, 5571, 2081, 547, 6895, 543, 2708, 2875, 1565, 269, 2290, 4358, 1448, 585, 713, 4058, 568, 547, 2015, 519, 9740, 10832, 7396, 538, 519, 9119, 15206, 547, 6103, 476, 280, 5358, 540, 5525, 609, 19793, 22777, 25824, 2209, 269, 1411, 949, 849, 5352, 707, 1378, 10832, 543, 946, 873, 547, 3391, 707, 8343, 540, 519, 1053, 780, 763, 1739, 10832, 949, 581, 1031, 547, 3313, 2436, 610, 711, 1053, 723, 1558, 1808, 4093, 476, 279, 543, 476, 280, 269, 2052, 1053, 1384, 1892, 1039, 4642, 547, 513, 2016, 1297, 267, 543, 2491, 1946, 519, 2040, 568, 519, 1482, 607, 519, 2016, 1297, 888, 1892, 10208, 4642, 689, 513, 2016, 1297, 267, 543, 2491, 1946, 519, 3017, 568, 519, 1482, 607, 519, 2016, 1297, 888, 1892, 2203, 1840, 543, 12408, 267, 1210, 6405, 610, 3308, 11269, 267, 543, 2594, 519, 1184, 3090, 1227, 888, 1892, 1711, 513, 1966, 5473, 1840, 610, 12408, 2016, 513, 1297, 4845, 888, 1892, 1711, 606, 1840, 543, 12408, 1297, 4845, 543, 7222, 1650, 1966, 585, 513, 2016, 3070, 888, 1892, 4194, 513, 2016, 1966, 5473, 513, 7508, 1039, 754, 267, 543, 4766, 519, 4640, 1031, 888, 1892, 4194, 513, 2016, 1966, 5473, 513, 7508, 1295, 340, 754, 610, 5705, 571, 9150, 267, 543, 4766, 519, 4640, 1031, 888, 1892, 13217, 2123, 2994, 547, 2333, 741, 4398, 888, 1892, 6474, 513, 1297, 4845, 547, 513, 2016, 7508, 1039, 754, 1966, 888, 1892, 6474, 513, 1297, 4845, 547, 513, 2016, 7508, 5705, 571, 9150, 610, 1295, 340, 754, 1966, 888, 1892, 2491, 610, 6542, 519, 862, 32477, 3959, 585, 1840, 281, 519, 1931, 540, 1840, 1281, 711, 1860, 519, 2040, 282, 552, 3052, 1421, 476, 276, 1341, 476, 277, 815, 476, 277, 1341, 476, 276, 888, 1892, 1039, 513, 2016, 1305, 540, 2338, 267, 1210, 519, 1997, 894, 3959, 540, 1840, 630, 326, 29470, 513, 1305, 540, 2338, 538, 1114, 2081, 1281, 711, 1860, 519, 2040, 1070, 543, 2491, 1946, 519, 2040, 568, 519, 1482, 282, 552, 3052, 1421, 476, 273, 1341, 476, 276, 1341, 476, 274, 1341, 476, 279, 815, 630, 273, 1341, 476, 274, 264, 1341, 476, 276, 1341, 476, 279, 610, 476, 276, 1341, 476, 274, 1341, 630, 279, 1341, 476, 273, 25145, 1892, 4194, 513, 2016, 1840, 610, 12408, 19106, 538, 2901, 8880, 610, 7299, 12043, 888, 1892, 2697, 1018, 1142, 1297, 538, 519, 1966, 1797, 538, 6935, 547, 513, 851 ]

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

[ 10912, 856, 968, 332, 20207, 256, 332, 20207, 256, 6100, 16474, 779, 30270, 4523, 950, 596, 616, 25356, 1310, 1175, 4758, 621, 2141, 689, 707, 2427, 269, 16474, 779, 30270, 4523, 950, 596, 616, 16397, 609, 513, 2603, 540, 1919, 267, 2523, 609, 10845, 267, 543, 6560, 547, 979, 1394, 547, 519, 9350, 543, 3461, 2427, 540, 15970, 563, 5472, 649, 2503, 568, 3993, 3125, 547, 581, 1025, 1170, 269, 1809, 18864, 12909, 827, 519, 824, 2427, 540, 621, 799, 2306, 721, 14220, 543, 519, 10845, 7140, 856, 883, 30270, 269, 1284, 1995, 713, 950, 972, 568, 513, 3668, 540, 1582, 13282, 267, 3668, 540, 942, 585, 6000, 267, 610, 950, 972, 568, 1100, 1489, 563, 6624, 31908, 1995, 30270, 1813, 547, 796, 637, 9407, 911, 30864, 689, 6689, 7133, 3993, 3125, 610, 519, 5912, 602, 568, 4397, 538, 938, 9163, 607, 2021, 269, 1284, 1294, 938, 7649, 779, 1272, 2547, 4299, 1813, 547, 15970, 543, 602, 568, 1946, 649, 30270, 693, 873, 519, 1034, 563, 1607, 3158, 779, 30270, 1223, 849, 581, 1813, 547, 2188, 971, 607, 4652, 31944, 27445, 267, 3190, 1472, 519, 2777, 267, 543, 10444, 20358, 269, 32506, 899, 3214, 7683, 6998, 585, 16152, 267, 21089, 689, 9162, 267, 543, 24107, 24515, 1223, 9594, 596, 563, 1692, 1677, 20958, 2060, 16474, 681, 720, 454, 6624, 540, 721, 25657, 2022, 31691, 4965, 609, 2022, 31691, 30270, 263, 3697, 875, 1082, 31908, 2012, 621, 32656, 2755, 10845, 568, 1945, 596, 666, 2769, 267, 30270, 568, 1945, 602, 782, 31908, 1616, 547, 12404, 269, 2353, 789, 1745, 568, 513, 17847, 995, 5728, 269, 12624, 3125, 568, 513, 1008, 6327, 2943, 31908, 616, 4397, 547, 957, 23920, 569, 543, 3461, 569, 563, 4407, 519, 1835, 625, 267, 21915, 337, 4548, 267, 543, 627, 1456, 540, 7820, 1453, 666, 1118, 721, 979, 21173, 267, 609, 4587, 1453, 519, 30891, 1223, 2490, 856, 547, 581, 4376, 899, 1256, 4657, 519, 4566, 649, 1185, 585, 519, 1554, 269, 634, 17140, 649, 1628, 909, 568, 1813, 547, 1585, 2188, 971, 607, 1818, 938, 3214, 1353, 9875, 267, 519, 533, 2056, 7622, 26050, 547, 581, 2944, 267, 543, 519, 6980, 547, 581, 11273, 269, 634, 3668, 540, 1489, 585, 31908, 568, 835, 2101, 2601, 585, 519, 30270, 547, 1628, 909, 563, 3383, 1631, 602, 649, 616, 782, 986, 3101, 267, 875, 666, 649, 1118, 1945, 2318, 856, 540, 713, 888, 272, 269, 6875, 513, 2736, 454, 2171, 782, 991, 513, 2736, 693, 930, 1448, 538, 942, 269, 2060, 3158, 779, 26050, 533, 4979, 909, 267, 1082, 540, 721, 7340, 547, 1491, 513, 2736, 585, 6000, 269, 5457, 267, 596, 616, 513, 1480, 543, 782, 596, 991, 568, 547, 1491, 513, 2736, 547, 10069, 1125, 3054, 585, 519, 1985, 1305, 540, 26050, 269, 4595, 649, 782, 616, 3425, 267, 649, 782, 723, 513, 2039, 540, 4664, 269, 3807, 1589, 952, 2576, 5143, 596, 621, 729, 606, 9688, 532, 1554, 267, 1131, 596, 711, 18973, 873, 547, 1964, 585, 930, 942, 888, 273, 269, 13722, 707, 6788, 454, 2171, 782, 1832, 938, 6788, 1164, 269, 1809, 596, 666, 711, 1611, 873, 950, 596, 616, 538, 519, 1184, 540, 15970, 269, 1411, 3112, 2503, 707, 1753, 547, 2141, 581, 2973, 610, 519, 8286, 547, 581, 18233, 543, 6854, 2973, 269, 1411, 991, 547, 1205, 856, 540, 519, 2259, 540, 30562, 534, 1645, 519, 1964, 540, 519, 1920, 269, 1411, 1590, 917, 1018, 596, 1616, 547, 798, 8957, 1018, 1590, 581, 2944, 547, 4688, 707, 6296, 593, 519, 2395, 519, 30270, 568, 1164, 563, 274, 269, 4406, 28371, 707, 1126, 779, 4743, 454, 25444, 814, 4606, 267, 543, 865, 1281, 707, 1126, 269, 1284, 1419, 2119, 547, 1852, 741, 4606, 610, 1589, 789, 616, 519, 2707, 540, 21379, 1952, 1465, 269, 1879, 596, 2119, 547, 7914, 538, 3533, 883, 513, 3510, 543, 4368, 1919, 267, 1453, 949, 1589, 596, 616, 3843, 547, 1852, 873, 799, 949, 2417, 1102, 584, 5573, 1312, 540, 596, 269, 5502, 540, 5356, 513, 4062, 540, 5796, 547, 707, 1126, 267, 596, 666, 2995, 707, 1126, 2453, 899, 968, 296, 1174, 875, 596, 1590, 581, 4743, 5608, 543, 968, 6343, 1131, 581, 5363, 9731, 275, 269, 5192, 547, 519, 2295, 540, 519, 2339, 454, 2691, 596, 1745, 596, 616, 693, 519, 8445, 540, 519, 30270, 267, 3797, 666, 581, 513, 1390, 2707, 547, 948, 596, 269, 4107, 540, 519, 942, 267, 519, 1259, 596, 2746, 547, 513, 3510, 1223, 581, 1317, 540, 707, 2250, 911, 30864, 269, 15775, 547, 917, 519, 2707, 540, 519, 3390, 666, 948, 596, 1847, 4464, 269, 1879, 596, 616, 11688, 26938, 547, 979, 547, 3797, 267, 2119, 547, 2697, 519, 12153, 543, 957, 5100, 569, 950, 519, 3510, 14340, 563, 276, 269, 4855, 2230, 454, 22129, 666, 581, 4376, 899, 2348, 513, 8602, 267, 2469, 585, 513, 3802, 267, 610, 8384, 707, 5172, 1397, 593, 28923, 269, 6884, 267, 9363, 538, 513, 4055, 782, 676, 3054, 1223, 849, 8897, 519, 3510, 269, 8447, 2230, 568, 1945, 602, 3112, 581, 6488, 539, 676, 1082, 31908, 1256, 8338, 952, 596, 616, 513, 3158, 540, 513, 1762, 4819, 563, 3963, 2549, 594, 15775, 4911, 787, 2311, 9540, 12085, 454, 17951, 518, 3884, 1406, 513, 3983, 7553, 269, 1717, 267, 621, 1590, 581, 17411, 14013, 269, 18833, 519, 2601, 585, 10845, 568, 519, 1655, 1259, 540, 10845, 2359, 585, 31908, 269, 4911, 518, 3587, 513, 1966, 950, 621, 3884, 1406, 7307, 1072, 1176, 269, 1703, 616, 1082, 1455, 4128, 585, 10845, 269, 901, 1223, 1331, 1919, 971, 607, 3871, 4152, 707, 9639, 267, 3668, 540, 7071, 540, 707, 6644, 610, 3646, 267, 3092, 269, 4033, 3123, 540, 10845, 1223, 581, 1022, 15779, 2621, 610, 1932, 1454, 21898, 532, 827, 2123, 2042, 563, 17951, 518, 12153, 616, 1114, 689, 835, 1268, 547, 1776, 607, 621, 5673, 593, 1018, 596, 2503, 689, 1866, 1472, 596, 269, 2659, 5114, 547, 513, 3510, 610, 875, 596, 941, 6026, 547, 2746, 547, 621, 849, 6927, 269, 1403, 596, 14201, 1406, 6026, 547, 2769, 10845, 1318, 689, 6689, 267, 519, 10845, 799, 596, 18645, 1282, 3993, 3125, 1522, 1011, 1712, 607, 513, 30270, 269, 6884, 5817, 2564, 2175, 849, 1039, 547, 856, 10767, 7370, 563, 1692, 1684, 594, 17547, 9861, 4911, 787, 3683, 9741, 12085, 888, 7197, 540, 519, 942, 267, 621, 568, 711, 519, 2566, 602, 568, 11318, 721, 267, 621, 568, 875, 649, 2746, 547, 621, 269, 1403, 596, 616, 2576, 945, 3362, 4991, 533, 1170, 539, 1055, 936, 1507, 1919, 267, 596, 666, 4313, 3054, 269, 898, 568, 21453, 547, 2263, 707, 4606, 693, 2053, 267, 855, 1175, 602, 596, 1810, 1406, 1745, 1390, 1310, 3257, 621, 269, 5457, 267, 952, 1945, 814, 1044, 21898, 532, 596, 585, 513, 1279, 942, 267, 1256, 519, 13581, 652, 28842, 1466, 1223, 1118, 621, 1011, 1712, 269, 1403, 1945, 689, 519, 2250, 568, 21898, 532, 596, 693, 1459, 267, 2119, 547, 8207, 621, 269, 1879, 1919, 1810, 1406, 979, 607, 9709, 267, 621, 568, 6654, 585, 519, 4664, 547, 21074, 563, 4415, 519, 4388, 585, 10845, 2359, 585, 31908, 2016, 2630, 267, 2119, 547, 1852, 707, 10845, 543, 4431, 14013, 547, 519, 3510, 676, 2921, 513, 23249, 267, 8026, 2620, 7244, 267, 543, 4466, 513, 1259, 547, 581, 17519, 2864, 982, 2921, 1919, 13948, 610, 676, 556, 577, 2335, 9934, 875, 596, 1745, 563, 1692, 1684, 594, 6513, 3733, 4911, 518, 2060, 3733, 4132, 888, 299, 3151, 707, 2191, 666, 723, 3978, 2360, 593, 707, 1126, 269, 15526, 4991, 14220, 269, 1809, 621, 5673, 593, 7247, 596, 1205, 14220, 609, 543, 547, 1018, 6708, 621, 5540, 873, 269, 4595, 607, 31908, 649, 1305, 606, 1383, 585, 938, 1453, 267, 519, 1655, 3364, 547, 798, 1247, 3478, 14220, 568, 547, 1175, 3802, 2476, 689, 602, 1747, 563, 763, 1655, 1259, 547, 4308, 609, 10845, 568, 547, 5431, 922, 4191, 1354, 621, 11199, 14186, 865, 596, 1223, 1491, 519, 3510, 896, 1852, 563, 16729, 616, 513, 1906, 4191, 540, 3478, 14220, 563, 268, 513, 3728, 26470, 610, 7244, 5488, 454, 268, 13029, 17525, 454, 268, 4743, 989, 18469, 454, 268, 804, 523, 4221, 707, 10265, 610, 3946, 454, 268, 669, 9506, 7181, 454, 2691, 596, 1265, 891, 9594, 4191, 267, 596, 1058, 4734, 519, 1747, 269, 3619, 585, 513, 3802, 610, 1491, 513, 8602, 610, 6432, 547, 2575, 602, 1522, 865, 6139, 596, 269, 5502, 540, 5612, 561, 4770, 693, 519, 1126, 267, 1265, 2081, 547, 6001, 3054, 971, 607, 10203, 689, 476, 1015, 547, 476, 272, 269, 8347, 547, 556, 874, 19189, 707, 5220, 883, 2318, 3283, 2864, 982, 6029, 30270, 547, 519, 1126, 269, 2667, 675, 707, 1126, 602, 621, 568, 1152, 741, 3527, 602, 596, 1810, 1406, 899, 543, 711, 873, 563, 2691, 596, 6336, 10845, 609, 707, 1126, 267, 1118, 621, 513, 1448, 547, 23294, 1125, 547, 873, 2663, 269, 769, 713, 1259, 267, 519, 1126, 786, 1174, 602, 621, 568, 21453, 547, 1745, 989, 18469, 607, 1279, 607, 596, 4308, 609, 621, 1134, 269, 4495, 596, 9350, 1524, 267, 1694, 1394, 543, 1589, 827, 1018, 1500, 596, 14220, 543, 875, 1732, 596, 1223, 723, 17411, 621, 563, 1692, 6496, 1323, 4911, 787, 9977, 18748, 589, 4132, 888, 2691, 1453, 1294, 741, 3237, 14220, 267, 789, 2566, 2933, 1025, 5446, 873, 547, 581, 519, 2601, 585, 519, 14784, 538, 519, 1920, 269, 1879, 1932, 1454, 586, 2454, 543, 24515, 4755, 538, 513, 1753, 267, 519, 1126, 1223, 1205, 22841, 15508, 269, 5457, 267, 513, 1434, 5639, 3085, 1406, 6655, 6835, 1732, 269, 15775, 14220, 543, 22551, 532, 693, 707, 1126, 1223, 1118, 873, 10728, 9308, 543, 8231, 958, 563, 2005, 814, 1279, 3856, 2360, 593, 519, 1126, 971, 607, 1970, 1582, 12635, 267, 4160, 2152, 267, 543, 4965, 269, 1358, 1265, 621, 2182, 547, 13404, 593, 741, 2090, 543, 616, 2451, 620, 334, 1993, 1034, 540, 519, 942, 269, 1452, 1453, 1020, 12008, 2042, 1932, 269, 898, 5932, 513, 8194, 602, 1223, 1860, 741, 2790, 1533, 538, 519, 1279, 2196, 269, 5457, 267, 1100, 2339, 875, 14220, 596, 616, 267, 596, 1590, 711, 1397, 30270, 9308, 547, 707, 1126, 563, 1432, 19732, 839, 1677, 589, 4132, 779, 11020, 1879, 1411, 962, 749, 888, 2005, 568, 3339, 547, 1205, 21616, 609, 707, 1126, 2523, 950, 789, 616, 3765, 2041, 327, 3058, 269, 1717, 267, 952, 596, 586, 749, 693, 873, 950, 596, 616, 21616, 267, 621, 568, 7168, 2386, 547, 723, 513, 1279, 1764, 593, 741, 2208, 269, 670, 6702, 15366, 9015, 899, 586, 2454, 666, 723, 513, 3978, 1764, 593, 519, 1126, 779, 2790, 8171, 563, 763, 1739, 1919, 4755, 950, 596, 616, 7683, 586, 2454, 693, 707, 1126, 563, 268, 898, 2306, 741, 2623, 8338, 454, 268, 898, 1223, 1689, 519, 1259, 741, 12058, 1020, 454, 268, 634, 1126, 1522, 1205, 883, 4965, 454, 268, 962, 2454, 786, 723, 2360, 593, 741, 2168, 1072, 454, 19522, 2201, 4911, 518, 5004, 1280, 11554, 631, 1682, 454, 22998, 31908, 616, 711, 528, 13124, 11112, 799, 8591, 811, 2604, 950, 519, 1126, 3884, 1406, 1969, 532, 1134, 610, 972, 568, 606, 17674, 1464, 538, 15970, 269, 1403, 519, 2324, 3158, 568, 14129, 543, 9663, 1190, 782, 519, 942, 267, 621, 1522, 1860, 1200, 7607, 693, 960, 269, 5903, 539, 2630, 616, 513, 1906, 4388, 602, 948, 873, 547, 2226, 741, 7254, 640, 607, 1134, 607, 2566, 2157, 563, 268, 4643, 547, 3251, 6896, 454, 268, 5590, 707, 6302, 454, 268, 13773, 4448, 454, 268, 6875, 1416, 540, 3054, 454, 268, 16418, 948, 952, 2838, 454, 268, 10312, 593, 10845, 2359, 585, 31908, 454, 19522, 2201, 4911, 518, 5004, 1280, 17266, 631, 1682, 454, 5719, 2718, 609, 1200, 10845, 568, 519, 1034, 4101, 851, 540, 1373, 513, 2582, 3158, 269, 4595, 1272, 2242, 689, 1018, 596, 2219, 621, 1131, 581, 267, 707, 4664, 666, 581, 513, 1390, 2243, 269, 19737, 707, 10845, 568, 2009, 543, 568, 4443, 982, 596, 1589, 269, 634, 1739, 4388, 786, 948, 596, 609, 10845, 2359, 585, 2582, 31908, 563, 268, 2913, 707, 3214, 917, 875, 596, 1745, 454, 268, 3503, 1524, 707, 4606, 543, 2901, 6633, 873, 610, 15237, 621, 454, 268, 11644, 547, 5887, 707, 10845, 454, 268, 13185, 609, 2576, 454, 268, 20504, 3054, 454, 16032, 4911, 518, 5004, 7734, 1280, 631, 1682, 454, 288, 2603, 540, 721, 6336, 938, 3579, 1082, 2053, 269, 898, 568, 21453, 3177, 621, 568, 606, 856 ]

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

[ 1870, 2853, 267, 596, 616, 6029, 5561, 602, 596, 3972, 873, 543, 616, 711, 3843, 547, 12404, 4376, 563, 274, 269, 2142, 12968, 652, 6168, 2659, 27190, 1389, 454, 25444, 2306, 9073, 267, 855, 602, 1281, 711, 1611, 621, 568, 15502, 547, 2119, 547, 30908, 873, 896, 519, 24821, 269, 1879, 1919, 979, 4636, 267, 596, 991, 547, 581, 8348, 547, 16153, 707, 9073, 543, 1491, 5539, 585, 873, 563, 30395, 9177, 538, 519, 8433, 454, 3528, 2679, 606, 8537, 2528, 538, 519, 5604, 267, 596, 616, 6029, 5520, 602, 741, 2093, 616, 12595, 543, 602, 596, 3972, 741, 10385, 269, 3371, 616, 513, 1906, 2081, 547, 1628, 513, 2178, 2754, 2528, 912, 272, 269, 5620, 513, 2312, 2754, 5692, 454, 9336, 9441, 1058, 917, 4010, 741, 1909, 538, 519, 2754, 543, 875, 741, 960, 7028, 519, 2949, 6216, 5692, 269, 901, 666, 581, 607, 2241, 607, 2348, 513, 5692, 3948, 11540, 593, 519, 3774, 610, 2870, 513, 3059, 25156, 602, 5520, 666, 1569, 593, 741, 11436, 563, 273, 269, 11559, 1930, 543, 16268, 5955, 454, 288, 2635, 2754, 2528, 12346, 593, 1930, 2792, 269, 6787, 5520, 616, 14379, 609, 1142, 824, 610, 609, 596, 267, 789, 991, 547, 1745, 899, 789, 666, 581, 9237, 1510, 1373, 24565, 563, 274, 269, 2561, 3285, 622, 3604, 454, 9336, 1268, 6770, 513, 1114, 5133, 547, 519, 3349, 267, 865, 621, 568, 2629, 547, 1397, 5520, 602, 596, 1871, 741, 3604, 543, 5000, 5876, 543, 1007, 2093, 563, 28444, 675, 31740, 3657, 3502, 5494, 3234, 3990, 18830, 454, 4467, 3966, 625, 616, 3743, 585, 8156, 782, 741, 5520, 9425, 267, 7488, 540, 5198, 267, 4984, 267, 4008, 267, 610, 1022, 824, 3815, 602, 1281, 711, 2047, 1764, 741, 2702, 547, 798, 519, 2816, 269, 3371, 616, 513, 1906, 2081, 547, 2327, 5520, 616, 5701, 9425, 912, 272, 269, 670, 790, 585, 5578, 267, 711, 585, 3514, 454, 1103, 1034, 2665, 267, 17849, 585, 5578, 786, 1267, 538, 513, 3309, 9036, 269, 5269, 2386, 596, 616, 711, 9991, 883, 519, 15972, 540, 17849, 1004, 899, 596, 563, 273, 269, 8073, 513, 2528, 540, 5955, 454, 24876, 5520, 519, 5191, 543, 19015, 789, 991, 547, 2285, 1142, 824, 5955, 543, 1577, 873, 917, 596, 1616, 547, 5873, 1018, 789, 723, 547, 2161, 563, 274, 269, 8073, 3255, 585, 5520, 547, 1332, 454, 10144, 1616, 547, 1745, 899, 741, 960, 814, 2495, 267, 865, 2327, 5520, 917, 875, 741, 960, 8309, 547, 519, 2754, 563, 19968, 7881, 568, 519, 1353, 540, 875, 3549, 8011, 1247, 5665, 609, 8699, 269, 898, 779, 513, 1259, 540, 3206, 827, 519, 1158, 540, 1870, 602, 2636, 1004, 269, 23883, 1346, 945, 1118, 741, 2713, 538, 1870, 267, 547, 1118, 1732, 3664, 585, 2933, 543, 2486, 607, 513, 2898, 269, 6355, 7881, 568, 711, 827, 10213, 3549, 1018, 547, 798, 855, 13057, 873, 2509, 1018, 1568, 269, 0, 1432, 779, 10896, 8654, 888, 294, 550, 548, 32749, 1019, 3941, 630, 29612, 338, 264, 616, 513, 3059, 9543, 3761, 269, 27178, 3459, 1272, 607, 9543, 10832, 538, 5122, 2694, 14475, 676, 670, 1168, 27451, 13268, 731, 269, 634, 24106, 568, 513, 2164, 540, 9211, 16089, 1379, 1369, 519, 1826, 540, 22726, 2362, 5219, 547, 607, 1528, 1503, 29061, 12412, 563, 19853, 1379, 1198, 2032, 267, 1970, 909, 18141, 267, 7347, 1145, 543, 17890, 1272, 17538, 602, 789, 2461, 1631, 513, 7524, 1585, 547, 519, 1648, 3620, 2426, 787, 543, 10347, 1387, 4084, 9543, 2959, 782, 540, 721, 8057, 909, 609, 563, 22873, 6053, 741, 1871, 11658, 741, 946, 607, 606, 593, 513, 2834, 4493, 9543, 3761, 269, 11048, 2479, 2987, 920, 2084, 1379, 3790, 6404, 609, 4824, 5663, 1576, 540, 814, 1500, 873, 513, 14323, 1585, 547, 6004, 32525, 779, 8798, 563, 4263, 519, 4090, 789, 2461, 8246, 538, 751, 4582, 2888, 267, 3135, 8436, 8279, 267, 18914, 2212, 7547, 267, 8731, 2583, 543, 10832, 519, 1158, 936, 563, 3963, 11129, 547, 594, 581, 9001, 10896, 8654, 888, 268, 27178, 946, 1454, 1447, 1379, 269, 634, 693, 1101, 2014, 585, 9001, 27178, 568, 602, 789, 3580, 3548, 607, 1454, 607, 476, 5952, 260, 1454, 1447, 1379, 982, 6671, 8654, 269, 13518, 1447, 1379, 10057, 568, 6653, 585, 519, 10450, 2705, 10123, 621, 568, 1434, 585, 13055, 1932, 269, 13518, 1447, 1648, 13345, 11224, 811, 6666, 10710, 563, 268, 27178, 2063, 811, 269, 634, 1455, 2085, 585, 513, 10896, 9543, 568, 476, 1015, 1296, 269, 4634, 1287, 789, 616, 2469, 547, 9003, 1616, 4657, 607, 741, 9543, 535, 3547, 269, 3683, 606, 6905, 942, 1974, 741, 9543, 3977, 20406, 3897, 338, 269, 1358, 786, 2063, 811, 1932, 282, 621, 12346, 2390, 2390, 519, 7311, 563, 268, 27178, 616, 513, 2603, 10930, 1107, 27178, 946, 1970, 6453, 630, 1321, 268, 2190, 264, 24311, 543, 616, 1454, 1447, 540, 513, 5873, 628, 3463, 982, 9543, 15620, 543, 16113, 19440, 8654, 269, 27178, 12520, 1100, 11158, 543, 2370, 610, 1100, 14246, 547, 1450, 873, 547, 581, 8246, 538, 2127, 519, 1747, 606, 7050, 2179, 540, 14246, 568, 5739, 563, 268, 27178, 616, 12863, 547, 1832, 909, 269, 27178, 1522, 581, 2451, 4805, 543, 513, 3728, 26763, 936, 1102, 18526, 568, 782, 789, 1616, 563, 268, 27178, 616, 2178, 1533, 269, 1703, 568, 1100, 971, 3364, 607, 513, 27129, 610, 4837, 547, 14443, 543, 789, 2461, 19756, 1256, 538, 5848, 6381, 269, 1358, 786, 1256, 581, 1031, 14015, 538, 930, 6381, 563, 268, 27178, 616, 12863, 547, 9004, 269, 9282, 972, 568, 1100, 971, 3364, 607, 513, 4890, 4480, 547, 22120, 873, 538, 519, 1611, 942, 789, 2461, 6263, 543, 13604, 12863, 543, 7864, 14124, 547, 519, 10450, 982, 8741, 532, 4837, 15620, 543, 3154, 23752, 8685, 532, 563, 268, 27178, 616, 513, 2603, 267, 513, 2603, 4130, 269, 1358, 786, 13604, 581, 8246, 538, 2484, 811, 6427, 633, 2409, 982, 6671, 8654, 269, 1280, 3236, 1769, 7901, 525, 1522, 581, 1793, 20810, 267, 27178, 1522, 581, 1256, 581, 11251, 883, 28778, 8440, 585, 2386, 5301, 563, 296, 4076, 4862, 621, 779, 632, 13145, 888, 22873, 6053, 27178, 1522, 581, 632, 13145, 982, 6671, 9543, 15620, 543, 24638, 13740, 2705, 741, 5383, 3152, 982, 2699, 816, 713, 269, 14992, 3068, 1379, 32116, 543, 513, 11428, 547, 2759, 1394, 741, 3327, 5434, 267, 676, 1100, 1797, 4555, 519, 13766, 547, 2539, 5777, 269, 27178, 616, 513, 851, 540, 519, 16253, 547, 1346, 2798, 563, 1432, 798, 594, 798, 609, 1250, 1699, 8654, 888, 6624, 3549, 2015, 602, 547, 2087, 741, 1699, 8654, 267, 585, 3236, 24638, 13740, 538, 18109, 14816, 8654, 543, 1129, 720, 267, 786, 2693, 581, 2527, 1947, 26688, 543, 14427, 269, 1284, 2012, 621, 27164, 7257, 1154, 269, 1703, 779, 513, 4268, 27164, 7257, 1154, 10896, 25584, 602, 949, 946, 1699, 1387, 4084, 9543, 3514, 14005, 269, 1411, 1205, 519, 5413, 540, 1454, 1447, 1648, 4616, 267, 1970, 909, 18141, 543, 17890, 1272, 2705, 596, 798, 711, 723, 547, 2322, 2724, 883, 1007, 9543, 3514, 14005, 269, 1325, 18146, 547, 27178, 568, 607, 3551, 607, 19249, 513, 15941, 563, 1432, 616, 519, 25584, 593, 519, 2344, 888, 29612, 338, 616, 1500, 538, 3833, 513, 2603, 540, 4778, 543, 18707, 269, 14168, 11418, 666, 2359, 519, 21386, 543, 1974, 540, 1169, 10896, 865, 519, 1764, 596, 786, 1205, 609, 606, 10896, 1587, 616, 8626, 27274, 1585, 269, 634, 2344, 568, 3376, 2287, 3533, 563, 292, 6470, 10896, 13838, 3487, 7781, 1268, 13838, 616, 1419, 3812, 538, 8492, 540, 476, 275, 27178, 2705, 10123, 789, 616, 2139, 3833, 513, 2603, 540, 11207, 1114, 6163, 543, 7306, 543, 1419, 2196, 1055, 513, 2653, 476, 1321, 341, 22155, 269, 1358, 616, 1419, 2322, 538, 609, 856, 519, 13766, 585, 606, 3167, 1014, 563, 29612, 338, 1522, 581, 12349, 5423, 15841, 1318, 883, 513, 6656, 540, 5068, 610, 2196, 7258, 519, 29097, 540, 513, 3787, 540, 28778, 799, 949, 1287, 581, 2539, 547, 979, 1134, 609, 519, 4890, 3301, 269, 634, 9395, 5250, 540, 1346, 27178, 19752, 602, 513, 2731, 1256, 2230, 540, 24106, 1522, 581, 6913, 563, 306, 3916, 1467, 10896, 1769, 7901, 525, 454, 2691, 24638, 13740, 616, 17479, 1932, 2282, 519, 13675, 540, 513, 1769, 7901, 596, 3335, 1294, 513, 4174, 4771, 1764, 269, 12071, 2803, 1417, 13740, 616, 10123, 2656, 5030, 269, 1403, 835, 4422, 596, 3068, 606, 14427, 2012, 856, 585, 513, 12990, 269, 27178, 5512, 585, 513, 25182, 1769, 7901, 543, 513, 3063, 1256, 9543, 3761, 593, 707, 12449, 269, 20099, 344, 1272, 543, 1970, 909, 18141, 19752, 602, 1357, 3135, 11564, 616, 513, 2603, 1454, 1447, 2781, 553, 6804, 569, 2838, 269, 15439, 606, 17573, 26763, 27492, 11129, 547, 798, 621, 2336, 14303, 549, 7257, 1154, 1875, 6441, 3633, 25584, 454, 2467, 616, 2965, 27164, 7257, 1154, 25584, 602, 8806, 6474, 883, 1459, 24638, 543, 17426, 15941, 3514, 14005, 269, 901, 666, 581, 513, 2656, 547, 5420, 942, 1974, 7816, 950, 596, 723, 3893, 513, 9645, 2179, 540, 6671, 8654, 267, 899, 14816, 8654, 267, 543, 798, 711, 723, 519, 3902, 2039, 547, 4268, 519, 3514, 14005, 269, 1411, 3580, 5612, 7443, 689, 519, 1379, 2883, 9806, 1644, 547, 10896, 8654, 269, 634, 1455, 652, 25584, 616, 24638, 8685, 532, 12990, 3688, 543, 10300, 4094, 12990, 5544, 8279, 563, 10468, 517, 12990, 10896, 8685, 532, 454, 10468, 517, 568, 606, 3007, 3766, 4599, 6883, 4480, 547, 3895, 707, 1507, 1870, 269, 898, 568, 2356, 1360, 14427, 547, 3761, 267, 3217, 7050, 9832, 540, 1379, 547, 2196, 543, 568, 5906, 585, 519, 10450, 1932, 269, 3767, 596, 949, 18082, 513, 19440, 1764, 609, 513, 3262, 540, 19440, 8685, 532, 5372, 906, 269, 10896, 8685, 532, 1522, 581, 2539, 543, 18761, 883, 1022, 1106, 267, 1360, 2147, 547, 6671, 19440, 269, 1717, 267, 607, 513, 1267, 540, 621, 8255, 669, 11035, 543, 2306, 946, 540, 1970, 6453, 267, 1522, 581, 2322, 538, 676, 24455, 1107, 596, 798, 711, 1616, 513, 3318, 3167, 1014, 547, 1921, 609, 519, 1292, 338, 563, 20181, 1379, 10896, 25584, 27178, 616, 1970, 6453, 543, 713, 2488, 721, 513, 7872, 547, 1118, 946, 540, 3859, 1648, 2281, 543, 2842, 18402, 585, 519, 3119, 942, 269, 898, 779, 1631, 1761, 547, 723, 606, 25139, 5365, 602, 8255, 1055, 922, 2123, 1648, 563, 7617, 25584, 11129, 547, 594, 17908, 888, 763, 10896, 2344, 568, 267, 899, 782, 6990, 267, 2407, 540, 1434, 25584, 543, 5906, 25584, 269, 10896, 8279, 616, 1500, 593, 513, 2582, 6656, 5219, 547, 607, 513, 530, 29195, 267, 1360, 2147, 547, 15291, 13365, 269, 1306, 1082, 607, 476, 7785, 271, 27178, 666, 2097, 689, 1152, 835, 530, 29195, 269, 1703, 616, 20541, 687, 2429, 519, 6989, 540, 1169, 530, 29195, 865, 1880, 1268, 27178, 616, 28439, 607, 4166, 607, 789, 2461, 20399, 856, 269, 4400, 2298, 2359, 15320, 689, 16073, 547, 16073, 865, 596, 786, 991, 547, 2327, 596, 3442, 513, 11967, 8502, 269, 1703, 779, 513, 3942, 540, 1164, 2298, 609, 27178, 4358, 689, 519, 17642, 652, 267, 6505, 652, 8279, 3842, 547, 519, 1970, 1871, 2527, 3812, 27178, 602, 786, 711, 3803, 607, 17890, 610, 1683, 519, 9838, 1164, 2298, 540, 24106, 563, 2467, 779, 2370, 1377, 10115, 1369, 519, 1034, 1942, 15807, 1761, 26725, 3366, 8279, 950, 519, 15620, 616, 2469, 547, 723, 513, 5618, 1272, 1606, 3966, 269, 634, 11418, 1379, 532, 519, 27178, 616, 10123, 4105, 3334, 1369, 519, 4093, 596, 1205, 856, 540, 707, 10896, 8654, 269, 4239, 1074, 814, 16539, 3507, 762, 2724, 543, 942, 883, 15388, 543, 24574, 1359, 609, 519, 3501, 10896, 14273, 1369, 519, 5177, 543, 2342, 269, 1284, 13498, 519, 6791, 543, 616, 13473, 827, 782, 540, 519, 25584, 3617, 585, 938, 16548, 269, 0, 290, 13072, 281, 24296, 680, 1662, 1315, 16671, 271, 5398, 23792, 454, 1103, 2550, 609, 1826, 476, 273, 3987, 267, 1804, 15088, 538, 1973, 4006, 2157, 1063, 4387, 11564, 616, 2404, 609, 606, 2799, 1981, 540, 2295, 2068, 563, 763, 1353, 267, 3370, 538, 519, 4760, 12128, 267, 25667, 1299, 5450, 29440, 267, 8947, 811, 982, 476, 3066, 267, 1822, 2550, 609, 1826, 476, 273, 3987, 936, 513, 1974, 540, 1079, 1296, 269, 14904, 945, 2907, 1185, 2295, 2068, 941, 16934, 563, 763, 1977, 12128, 5948, 15565, 4079, 609, 3987, 2226, 606, 589, 272, 322, 267, 3328, 1973, 4006, 1377, 585, 519, 2250, 1079, 547, 1614, 3275, 267, 540, 1447, 982, 476, 278, 2600, 547, 2569, 8374, 689, 3987, 971, 607 ]

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

[ 856, 602, 519, 12948, 1523, 540, 2069, 17648, 602, 519, 2875, 568, 17399, 656, 543, 602, 519, 4116, 568, 519, 1152, 835, 945, 814, 1022, 1702, 865, 602, 519, 3003, 2069, 1184, 568, 30096, 689, 519, 1376, 1317, 540, 713, 23350, 269, 634, 2278, 13187, 602, 2394, 972, 568, 513, 1259, 547, 5000, 513, 1863, 2095, 267, 610, 5188, 1063, 19829, 543, 2875, 519, 2042, 538, 2069, 786, 2611, 267, 1256, 607, 1007, 21195, 616, 5189, 563, 2691, 649, 1353, 519, 6437, 2066, 519, 2197, 267, 649, 8275, 602, 621, 568, 2966, 547, 11753, 519, 1995, 513, 3309, 2551, 1369, 519, 3044, 2022, 6281, 6437, 269, 634, 6030, 723, 1044, 15428, 543, 6963, 539, 547, 1450, 513, 811, 8471, 2070, 540, 519, 1604, 269, 634, 6437, 568, 8465, 543, 28102, 543, 3976, 267, 2413, 538, 922, 17748, 269, 8616, 267, 519, 6073, 538, 799, 649, 4001, 621, 7182, 519, 2360, 540, 519, 1374, 269, 4935, 267, 875, 649, 4001, 568, 607, 1271, 607, 1018, 649, 4001, 269, 1280, 1082, 1004, 267, 519, 2262, 27380, 19752, 4928, 2553, 2966, 547, 10141, 1702, 689, 4116, 630, 663, 1257, 264, 547, 1053, 269, 12465, 15338, 690, 923, 2308, 1018, 6754, 334, 6154, 790, 7125, 519, 2048, 321, 21403, 685, 1523, 540, 2069, 267, 538, 799, 1702, 568, 513, 10516, 1655, 15735, 676, 1346, 945, 2015, 2933, 18164, 2390, 1346, 7247, 789, 2015, 547, 917, 4986, 15301, 275, 994, 1692, 547, 13712, 30914, 10417, 540, 4065, 1557, 454, 16521, 13712, 3898, 912, 289, 21403, 10417, 540, 4065, 269, 630, 1001, 276, 267, 4455, 476, 2537, 1040, 8158, 5130, 476, 2190, 267, 476, 1708, 271, 267, 689, 4179, 2517, 2908, 344, 1251, 612, 904, 2593, 270, 22967, 1532, 21403, 8410, 1061, 6361, 268, 25531, 270 ]

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

[ 0, 272, 264, 3600, 7190, 1315, 4676, 12999, 744, 525, 15047, 4345, 912, 10907, 1393, 2806, 12645, 1928, 454, 294, 770, 549, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 12884, 268, 3996, 23569, 17406, 2068, 630, 294, 16704, 1070, 23441, 17406, 2068, 267, 610, 3679, 17406, 2068, 568, 513, 5312, 10835, 540, 11940, 657, 531, 3441, 3361, 676, 7181, 3679, 4947, 909, 689, 519, 7181, 883, 519, 24647, 717, 26314, 568, 2356, 3361, 676, 2242, 538, 519, 11064, 1063, 519, 7181, 543, 519, 24647, 267, 1519, 9402, 11005, 540, 519, 2539, 1965, 23569, 838, 327, 3307, 518, 267, 799, 7363, 6585, 519, 1283, 540, 519, 7181, 6806, 267, 15176, 1163, 13955, 540, 23441, 17406, 689, 519, 24647, 267, 610, 513, 454, 17746, 11692, 4386, 538, 476, 1015, 1700, 1428, 260, 540, 4079, 543, 568, 513, 1455, 2601, 585, 5275, 2564, 3007, 269, 898, 568, 811, 1455, 538, 2021, 269, 634, 11361, 616, 19753, 12723, 1813, 547, 32435, 2564, 2175, 267, 6527, 267, 4057, 4189, 6208, 267, 8519, 10688, 543, 267, 538, 930, 2665, 267, 17418, 547, 1694, 593, 513, 16003, 630, 5523, 27995, 2550, 1040, 634, 1101, 1900, 538, 10442, 519, 3461, 568, 547, 3313, 1018, 568, 5921, 676, 834, 6247, 11692, 1701, 14904, 949, 5581, 19228, 607, 1102, 7528, 550, 588, 8962, 630, 325, 1168, 518, 982, 1614, 538, 513, 3018, 1070, 2182, 588, 8962, 267, 7050, 2269, 1456, 267, 610, 513, 2631, 540, 18106, 27549, 563, 273, 264, 12729, 267, 543, 454, 763, 1034, 1455, 2014, 568, 3119, 543, 711, 1272, 17116, 269, 769, 519, 11361, 267, 3123, 1331, 281, 13385, 8192, 6775, 6981, 267, 16283, 5714, 6981, 267, 8519, 2168, 2534, 267, 2427, 2360, 540, 6527, 267, 30847, 2073, 543, 25518, 676, 2051, 28030, 9435, 563, 21902, 545, 4713, 666, 2014, 19228, 1317, 540, 11719, 545, 8937, 14524, 267, 1250, 13771, 625, 267, 25012, 4713, 267, 610, 23386, 17244, 630, 1122, 267, 5409, 5632, 20945, 610, 3834, 758, 531, 8598, 5148, 6646, 2427, 2360, 616, 3006, 3743, 630, 1122, 267, 1884, 747, 22223, 1120, 923, 610, 17414, 6950, 1916, 13312, 1551, 9996, 610, 11591, 21539, 320, 568, 519, 2783, 540, 2348, 1614, 610, 811, 10690, 610, 5277, 15108, 5322, 829, 1554, 269, 634, 1034, 1455, 2014, 568, 12884, 10938, 4345, 269, 4144, 1551, 9996, 568, 1034, 4122, 1813, 547, 10194, 12884, 10938, 4345, 609, 4232, 8785, 267, 799, 6589, 585, 476, 2412, 260, 540, 2665, 538, 1453, 896, 2947, 1103, 17631, 6011, 1197, 9190, 5563, 335, 1042, 558, 3729, 269, 15316, 13802, 971, 607, 25487, 15464, 543, 5061, 666, 849, 2014, 8650, 13165, 269, 32247, 13165, 666, 581, 519, 851, 540, 519, 14245, 540, 513, 1297, 540, 5312, 2564, 2175, 7133, 519, 16892, 269, 5871, 3123, 1331, 22377, 894, 897, 4345, 267, 15867, 18255, 781, 2068, 267, 18784, 897, 4345, 267, 524, 27112, 2068, 267, 8886, 762, 15108, 6794, 543, 23925, 454, 2467, 616, 1082, 3123, 540, 11763, 13165, 267, 799, 1331, 8290, 267, 4551, 543, 15495, 269, 7439, 21552, 568, 519, 1034, 1455, 2014, 540, 10194, 13165, 538, 4079, 267, 8117, 4232, 8785, 568, 519, 1034, 1455, 2014, 538, 1453, 896, 2947, 1296, 2025, 1520, 523, 21552, 1547, 763, 24059, 8805, 2643, 14385, 568, 513, 1455, 2014, 540, 9190, 13165, 267, 855, 5563, 676, 20363, 749, 2801, 1744, 580, 749, 2801, 543, 930, 12490, 540, 18521, 615, 747, 807, 19546, 630, 292, 31815, 328, 264, 616, 7928, 269, 769, 519, 11361, 267, 3226, 1346, 945, 723, 1044, 5701, 609, 11216, 585, 20775, 5563, 267, 513, 25560, 3812, 676, 1849, 739, 5090, 1756, 886, 545, 850, 1419, 3123, 4049, 13165, 10422, 31730, 2572, 798, 711, 1419, 2014, 13165, 4849, 585, 519, 1486, 9926, 15351, 16902, 731, 807, 267, 799, 666, 2014, 5312, 5563, 952, 891, 616, 711, 8995, 543, 5701, 609, 5061, 971, 607, 1558, 1258, 573, 31152, 2073, 543, 9980, 600, 4141, 9346, 1277, 8432, 339, 3821, 563, 8448, 11763, 8069, 971, 607, 15495, 543, 9190, 13802, 849, 2049, 269, 769, 7254, 3202, 2713, 2175, 1141, 972, 568, 15792, 1426, 543, 513, 3761, 540, 2973, 1216, 267, 606, 6382, 2635, 1268, 2356, 973, 13569, 689, 10194, 5563, 538, 513, 1906, 2395, 269, 1717, 267, 585, 2192, 610, 4731, 333, 712, 1639, 785, 1339, 338, 267, 13165, 666, 1291, 547, 4049, 18024, 543, 666, 1831, 1272, 18446, 563, 22416, 25388, 696, 1470, 562, 568, 519, 17418, 547, 10110, 1426, 4628, 267, 6140, 689, 4713, 538, 519, 1507, 15108, 267, 855, 849, 1813, 547, 4731, 21745, 3878, 689, 3676, 540, 519, 18558, 563, 277, 264, 18729, 910, 8248, 10364, 4713, 912, 272, 264, 2037, 10405, 19518, 610, 11940, 657, 531, 25983, 1275, 454, 273, 264, 623, 1716, 5534, 16562, 8598, 610, 15176, 15108, 1599, 1813, 547, 519, 17418, 547, 10110, 6171, 536, 476, 1321, 454, 274, 264, 13809, 540, 25524, 5728, 687, 267, 799, 949, 581, 1813, 547, 2166, 10973, 27470, 610, 454, 275, 264, 23305, 12889, 267, 899, 2110, 15108, 6794, 630, 338, 4026, 1227, 6569, 15108, 264, 543, 5982, 27470, 267, 971, 607, 2356, 5205, 2860, 2126, 543, 824, 5061, 267, 1519, 8069, 1031, 538, 18068, 282, 543, 454, 276, 264, 15742, 24391, 454, 8248, 10364, 22377, 2068, 568, 1459, 538, 476, 276, 1700, 1428, 260, 540, 2550, 609, 7988, 701, 1186, 807, 269, 30887, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 568, 1459, 538, 909, 547, 476, 736, 260, 540, 2550, 609, 7988, 701, 1186, 807, 267, 1256, 1510, 1713, 29463, 269, 22050, 878, 2860, 568, 4857, 538, 476, 272, 260, 855, 568, 5393, 4686, 538, 7606, 896, 2085, 476, 4649, 1296, 609, 9296, 6088, 7988, 701, 1186, 807, 269, 4033, 3123, 1331, 8819, 1886, 4100, 529, 630, 18034, 538, 3987, 22577, 1070, 26178, 22166, 610, 4731, 25388, 696, 633, 2175, 267, 543, 26220, 3968, 630, 294, 328, 731, 807, 267, 16200, 2643, 32403, 1040, 13900, 545, 14385, 28894, 9461, 25124, 454, 7212, 5312, 23441, 3968, 609, 670, 28894, 9461, 568, 606, 1271, 2014, 540, 890, 10364, 22377, 2068, 267, 621, 568, 606, 16613, 2014, 540, 7988, 701, 1186, 807, 538, 519, 9000, 540, 890, 10364, 22377, 2068, 269, 634, 9860, 540, 670, 28894, 9461, 23938, 5312, 8819, 8539, 538, 2550, 609, 7988, 701, 1186, 807, 1510, 890, 10364, 22377, 2068, 568, 476, 736, 1700, 2004, 9077, 519, 1482, 607, 538, 519, 2489, 2551, 563, 2467, 616, 1079, 2101, 3123, 540, 890, 10364, 22377, 2068, 281, 715, 6347, 31312, 543, 5312, 670, 28894, 9461, 3968, 269, 15845, 540, 670, 28894, 9461, 3968, 610, 715, 6347, 2839, 28453, 1058, 581, 8179, 538, 782, 2550, 609, 890, 10364, 22377, 269, 10815, 982, 476, 276, 1700, 1015, 260, 540, 21385, 616, 3361, 676, 824, 2175, 267, 1519, 3679, 5409, 572, 4038, 800, 2829, 630, 7945, 607, 2098, 565, 1782, 518, 7232, 961, 2581, 6794, 610, 11528, 15958, 26014, 2670, 1070, 18328, 309, 630, 18034, 538, 13003, 23700, 1070, 15867, 18255, 2068, 267, 28623, 267, 6527, 630, 1122, 267, 620, 754, 1258, 622, 1070, 5312, 2564, 4576, 630, 322, 597, 9071, 2670, 610, 5312, 8459, 2068, 1070, 610, 616, 7329, 11340, 987, 545, 269, 715, 6347, 2839, 543, 670, 28894, 9461, 1700, 817, 18620, 21385, 786, 581, 4843, 538, 713, 3296, 282, 2098, 565, 1782, 518, 7232, 961, 2581, 6794, 786, 581, 5941, 13604, 563, 763, 9636, 949, 581, 6353, 676, 835, 610, 811, 5580, 14159, 2589, 1519, 3134, 580, 770, 878, 1928, 610, 8781, 267, 2038, 2893, 328, 1214, 267, 27185, 8681, 658, 2407, 1145, 267, 26533, 267, 15353, 267, 610, 13481, 269, 1230, 1260, 26938, 2597, 2530, 267, 10770, 13481, 267, 3586, 610, 4049, 1928, 267, 7988, 874, 698, 807, 267, 8280, 622, 6996, 529, 267, 610, 5283, 6511, 11562, 1218, 1439, 22000, 610, 14159, 9196, 563, 295, 320, 13579, 9071, 1355, 610, 25985, 616, 27537, 676, 912, 289, 2431, 2699, 1973, 829, 6439, 636, 563, 23322, 2065, 4681, 593, 5007, 1387, 14791, 543, 606, 25646, 6514, 563, 1103, 4156, 20178, 6950, 616, 1016, 788, 527, 16773, 15466, 24302, 687, 9967, 540, 24561, 5160, 267, 5347, 4887, 11103, 267, 543, 12091, 328, 8576, 748, 10618, 1063, 12363, 8371, 540, 519, 9120, 6439, 531, 16050, 543, 6439, 531, 15532, 269, 1358, 616, 513, 3339, 20133, 5669, 11769, 267, 9648, 538, 782, 4079, 267, 602, 3565, 547, 3339, 1387, 12503, 543, 2327, 513, 1216, 2389, 697, 19479, 540, 519, 1387, 12324, 269, 1358, 4122, 2049, 538, 1614, 3119, 6753, 1765, 2431, 18751, 267, 1318, 17911, 267, 543, 2451, 14694, 563, 2750, 4156, 20178, 6950, 8451, 689, 519, 17071, 20178, 18042, 15532, 4092, 2630, 519, 7202, 622, 1899, 543, 616, 4988, 609, 2695, 13904, 13423, 26375, 540, 519, 1387, 12324, 610, 829, 1014, 531, 3148, 563, 295, 13579, 9071, 6950, 949, 1831, 31916, 607, 513, 1267, 540, 2238, 602, 2333, 27625, 2604, 267, 4611, 538, 1253, 1549, 543, 1266, 5282, 618, 269, 18135, 1456, 693, 22454, 267, 19228, 267, 12675, 9361, 267, 6379, 267, 8377, 267, 543, 1970, 1922, 9200, 11326, 782, 949, 3565, 269, 2060, 942, 267, 21336, 3599, 543, 23822, 618, 540, 519, 27625, 24302, 687, 949, 1020, 543, 1267, 538, 11702, 610, 31732, 4288, 563, 30535, 1419, 14487, 513, 3099, 540, 829, 1014, 531, 20286, 547, 834, 1335, 16964, 6950, 1701, 1717, 267, 519, 9030, 2042, 30289, 547, 4835, 20178, 6950, 616, 11702, 267, 7139, 8985, 267, 543, 11940, 1355, 11166, 269, 28563, 5338, 568, 28955, 676, 6505, 2699, 1973, 602, 949, 2039, 689, 1792, 6545, 540, 1973, 7298, 593, 16003, 1957, 610, 22454, 547, 6505, 2699, 1973, 602, 5671, 1186, 883, 519, 16003, 12826, 1310, 513, 15108, 3350, 269, 27824, 569, 568, 11702, 4049, 2614, 547, 1267, 538, 17350, 269, 21231, 267, 4835, 20178, 6950, 616, 16876, 547, 519, 1387, 12324, 630, 560, 720, 594, 1040, 3683, 942, 267, 519, 4835, 20178, 6950, 949, 7930, 23822, 543, 31732, 8775, 689, 519, 1387, 6679, 269, 2311, 1101, 267, 713, 11940, 657, 531, 7139, 8985, 4386, 1282, 2269, 1456, 543, 6971, 31380, 630, 560, 720, 4083, 1040, 2060, 11144, 936, 942, 267, 519, 7139, 17863, 20178, 6950, 949, 2154, 8261, 5786, 1310, 15108, 5322, 630, 560, 720, 8633, 264, 610, 949, 2611, 12225, 1227, 31732, 24851, 630, 560, 720, 10001, 1040, 20048, 1227, 7139, 17863, 20178, 6950, 949, 1267, 538, 513, 2631, 540, 2407, 1145, 610, 9636, 543, 11940, 1355, 829, 1014, 531, 11166, 267, 4611, 538, 16698, 543, 3037, 532, 540, 896, 743, 582, 1127, 269, 10266, 568, 8966, 609, 4835, 20178, 6950, 267, 9648, 1152, 950, 972, 568, 3573, 6553, 543, 24405, 2670, 540, 9048, 3027, 1043, 5160, 610, 609, 24405, 2670, 540, 606, 5007, 20178, 1355, 563, 21675, 693, 27850, 30941, 788, 2716, 454, 1103, 16063, 4713, 27850, 18669, 2709, 1362, 2126, 609, 4630, 4141, 24403, 11955, 7868, 22074, 616, 6569, 689, 519, 3597, 3976, 4543, 519, 3461, 547, 1291, 513, 2068, 1863, 1272, 1310, 519, 2126, 269, 0, 1103, 476, 1001, 273, 267, 23587, 9995, 344, 5734, 1715, 3840, 4975, 609, 513, 476, 274, 269, 275, 2173, 2678, 7088, 20352, 267, 4929, 936, 1269, 866, 5479, 538, 3441, 269, 4014, 972, 616, 1631, 1896, 3292, 547, 3391, 31811, 543, 30840, 3646, 267, 1906, 9542, 3785, 723, 2097, 547, 2927, 819, 267, 3081, 7917, 22506, 28086, 267, 606, 2825, 1544, 1676, 609, 519, 13636, 4643, 5948, 538, 1715, 3840, 4975, 269, 769, 4728, 267, 519, 1715, 3840, 4975, 19937, 593, 8693, 7827, 5950, 513, 1867, 543, 1007, 14700, 7851, 269, 769, 2904, 267, 519, 2749, 779, 8433, 540, 17073, 5004, 3459, 16459, 5070, 321, 4711, 1472, 2539, 24607, 607, 513, 10151, 2268, 547, 2149, 519, 1216, 12506, 1247, 811, 8628, 3435, 616, 2808, 563, 5649, 811, 593, 3163, 5240, 269, 0, 3719, 12935, 568, 1419, 10645, 607, 513, 1463, 10682, 585, 17405, 269, 1809, 12935, 568, 4646, 676, 589, 11065, 9950, 269, 18829, 630, 10907, 564, 821, 267, 1809, 12935, 267, 543, 6599, 12935, 1040, 1809, 12935, 666, 581, 14616, 834, 14259, 697, 257, 538, 4540, 17405, 9817, 267, 20010, 4492, 3267, 9022, 4825, 4471, 1998, 454, 23409, 27990, 20010, 17540, 1564, 1656, 23556, 19004, 13565, 4429, 23409, 27990, 20010, 17540, 1564, 543, 23556, 19004, 13565, 16370, 11137, 4653, 267, 17088, 568, 519, 1292, 4244, 4492, 547, 17405, 5001, 269, 2755, 621, 568, 1869, 19386, 268, 4492, 269, 15850, 338, 1107, 6599, 12935, 267, 1809, 12935, 3267, 3367, 3371, 454, 763, 17136, 2986, 12713, 30669, 281, 589, 18948, 2986, 16544, 2986, 6599, 12935, 4429, 288, 18948, 540, 16544, 540, 6599, 12935 ]

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

[ 3679, 267, 7513, 267, 11379, 267, 7601, 267, 16247, 563, 5445, 616, 1970, 23343, 12929, 5613, 267, 2094, 789, 1683, 5111, 476, 2004, 298, 5632, 829, 476, 1911, 10101, 540, 17580, 6712, 269, 634, 1655, 8153, 20521, 5613, 616, 11993, 267, 8126, 518, 710, 267, 6653, 10538, 267, 11877, 10538, 267, 18654, 267, 18812, 26258, 610, 18812, 26258, 267, 543, 1368, 6072, 269, 634, 2640, 540, 20521, 5613, 616, 1082, 267, 1851, 873, 519, 1034, 1271, 616, 2676, 272, 269, 16237, 1492, 985, 519, 4761, 1062, 267, 799, 568, 538, 5279, 540, 519, 1560, 781, 23640, 267, 2094, 621, 24515, 5007, 8069, 610, 23633, 14471, 602, 23309, 519, 1560, 543, 2014, 3676, 267, 7646, 610, 4049, 267, 1256, 547, 2014, 2669, 269, 4475, 267, 519, 4616, 540, 20521, 5613, 267, 2523, 538, 713, 2013, 519, 10538, 267, 786, 7794, 519, 23640, 543, 2226, 606, 3742, 4761, 1062, 1996, 1022, 4914, 8665, 563, 273, 269, 5549, 531, 1529, 762, 2707, 540, 8324, 543, 6886, 267, 602, 1832, 519, 1560, 538, 1434, 2489, 2783, 267, 10307, 267, 28491, 637, 21732, 1062, 267, 23640, 267, 543, 8031, 538, 2489, 563, 274, 269, 5901, 338, 519, 2960, 19872, 267, 4190, 267, 12873, 543, 2635, 267, 2523, 950, 789, 616, 10057, 693, 14254, 3108, 563, 275, 269, 13363, 338, 543, 15387, 519, 3252, 540, 519, 9667, 1062, 267, 15725, 23639, 267, 5355, 12536, 267, 14123, 17355, 340, 725, 1813, 547, 922, 1164, 6775, 1543, 543, 3850, 7067, 540, 23441, 610, 5918, 31829, 531, 11940, 6242, 15087, 267, 971, 607, 22377, 894, 15087, 563, 276, 269, 2776, 24000, 10894, 3676, 971, 607, 3987, 543, 31202, 20945, 269, 898, 849, 24506, 1164, 2157, 540, 8501, 267, 579, 878, 3679, 543, 11151, 2295, 543, 30057, 4713, 563, 277, 269, 29452, 547, 19140, 1518, 543, 1625, 1518, 519, 1560, 540, 6757, 6878, 602, 23309, 689, 519, 1604, 543, 602, 666, 18645, 538, 519, 8031, 543, 2014, 1390, 3441, 267, 1519, 519, 5250, 540, 23872, 12970, 563, 278, 269, 11588, 2597, 2530, 267, 2094, 789, 723, 513, 1019, 675, 6776, 267, 561, 1314, 894, 543, 3170, 1532, 9506, 1198, 267, 2523, 952, 789, 616, 28041, 593, 606, 8900, 7181, 563, 763, 4367, 540, 4396, 3536, 538, 9002, 568, 5645, 856, 689, 476, 277, 3275, 540, 2085, 267, 1018, 649, 1289, 14911, 8023, 610, 849, 519, 4098, 540, 1007, 3536, 267, 1634, 607, 705, 331, 716, 566, 563, 2005, 568, 1572, 14911, 8023, 1317, 621, 1264, 906, 20418, 610, 5841, 4542, 602, 519, 4816, 814, 1044, 10438, 2094, 20169, 543, 786, 3136, 547, 581, 741, 1292, 1426, 2394, 476, 1321, 3275, 540, 2085, 563, 2691, 594, 4163, 856, 519, 14911, 8023, 29492, 267, 594, 2491, 547, 3237, 602, 20521, 5613, 616, 3769, 538, 3536, 1572, 23480, 267, 602, 568, 267, 789, 666, 2014, 513, 1426, 14711, 267, 799, 814, 519, 1739, 2589, 912, 268, 16164, 15087, 281, 26253, 267, 32105, 267, 21422, 610, 21422, 563, 268, 6226, 24304, 4713, 281, 13481, 267, 13165, 267, 14159, 1928, 563, 268, 28614, 4713, 282, 32125, 267, 7928, 11522, 267, 26032, 540, 7362, 543, 811, 4049, 267, 1350, 2714, 529, 30046, 563, 268, 19449, 1529, 2218, 4713, 281, 8467, 267, 21994, 267, 2530, 540, 9637, 563, 268, 11524, 281, 22442, 573, 30046, 267, 2978, 658, 610, 20902, 30046, 563, 3383, 1354, 519, 4367, 540, 891, 20521, 5613, 729, 5227, 689, 476, 1321, 3275, 543, 1256, 1310, 476, 273, 1296, 267, 547, 2569, 519, 1981, 540, 11959, 538, 1453, 267, 855, 4867, 3621, 2090, 723, 3254, 602, 8488, 532, 519, 4367, 540, 13298, 267, 1426, 23480, 949, 2333, 519, 1981, 540, 891, 13027, 6547, 563, 2691, 10962, 20521, 5613, 585, 519, 1101, 942, 267, 594, 4363, 1739, 519, 5528, 2630, 912, 268, 20644, 835, 20521, 4829, 693, 513, 942, 267, 23295, 2898, 543, 711, 538, 23238, 610, 5347, 625, 267, 865, 602, 922, 5567, 543, 6775, 616, 12873, 16856, 563, 268, 1215, 621, 568, 2808, 606, 6784, 21329, 1426, 6035, 585, 1614, 2395, 538, 513, 4737, 267, 11287, 1022, 2009, 13027, 5114, 563, 268, 2776, 2536, 2406, 538, 519, 2038, 3108, 540, 519, 6640, 543, 952, 2009, 1354, 476, 274, 10681, 563, 268, 1656, 2760, 10483, 676, 1776, 1007, 1426, 267, 2094, 952, 606, 13027, 5114, 4386, 267, 649, 3112, 10646, 799, 540, 519, 1079, 3536, 729, 519, 2014, 563, 2791, 666, 1224, 811, 4930, 2147, 547, 1215, 543, 950, 547, 6338, 20521, 5613, 538, 519, 2732, 540, 1453, 267, 538, 519, 9040, 625, 7121, 593, 3135, 269, 0, 26261, 18544, 814, 1900, 676, 1900, 1382, 1957, 1603, 3391, 5830, 602, 786, 2688, 2328, 513, 1557, 1603, 16311, 7292, 7130, 1382, 1957, 585, 596, 543, 2687, 547, 707, 3169, 26612, 519, 2942, 2360, 540, 21376, 5198, 538, 13314, 1557, 5198, 1894, 3486, 1876, 12031, 3584, 666, 581, 2938, 547, 713, 1554, 267, 23344, 547, 1114, 5232, 267, 10838, 782, 1875, 3887, 13152, 7819, 2516, 269, 524, 709, 577, 267, 538, 1010, 1557, 968, 15869, 568, 936, 892, 630, 1960, 277, 1070, 1179, 12885, 602, 538, 519, 2104, 267, 5198, 786, 24044, 547, 581, 519, 4493, 540, 3961, 543, 968, 338, 2133, 29027, 1379, 892, 1317, 540, 519, 2208, 538, 6404, 268, 15869, 1004, 269, 17720, 2079, 3732, 1557, 7824, 621, 814, 1044, 513, 32618, 12666, 5326, 267, 1034, 5063, 6829, 676, 2112, 1066, 10726, 1399, 12193, 519, 1966, 538, 5198, 538, 13314, 1557, 519, 4670, 4439, 10290, 267, 602, 2799, 968, 15869, 11544, 892, 1131, 269, 694, 335, 476, 2420, 267, 476, 1001, 278, 5788, 519, 1353, 540, 5198, 543, 10168, 538, 32204, 13314, 814, 1044, 3742, 585, 1896, 5756, 269, 15118, 476, 6860, 267, 476, 1708, 271, 5788, 10564, 5198, 538, 13314, 1557, 804, 7596, 807, 7584, 514, 2488, 513, 2542, 1592, 827, 10168, 538, 13314, 267, 10023, 3594, 676, 9522, 328, 2849, 13769, 543, 28642, 24052, 7773, 267, 543, 15923, 27875, 269, 630, 1492, 3597, 28931, 15290, 621, 2501, 5198, 538, 13314, 1557, 547, 5198, 538, 13314, 267, 972, 779, 1100, 2243, 2042, 538, 2486, 1557, 3584, 602, 1919, 616, 4657, 269, 1350, 7596, 324, 267, 795, 337, 1421, 11339, 827, 875, 7819, 11776, 8456, 12969, 609, 10168, 269, 1256, 1004, 945, 1589, 789, 2461, 711, 3594, 827, 7784, 5208, 22457, 949, 723, 17499, 4555, 602, 1291, 547, 11029, 25641, 5615, 269, 621, 5713, 269, 3594, 593, 5198, 538, 13314, 676, 513, 1007, 5108, 540, 5830, 2433, 524, 709, 577, 267, 3332, 2689, 2228, 538, 1010, 1557, 968, 15869, 568, 936, 892, 630, 1960, 277, 1070, 1179, 12885, 602, 538, 19545, 1603, 3028, 519, 2104, 267, 5198, 786, 24044, 547, 581, 519, 4493, 540, 3961, 543, 968, 338, 2133, 29027, 1379, 892, 1317, 540, 519, 2208, 538, 6404, 268, 15869, 1004, 269, 649, 1419, 5873, 602, 22988, 991, 547, 1353, 6780, 723, 513, 6643, 593, 5198, 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 ]

[ 9444, 581, 2813, 6862, 10032, 267, 855, 2864, 9927, 883, 1585, 3029, 607, 519, 5714, 1369, 519, 1852, 4320, 568, 1373, 6594, 780, 2005, 568, 519, 1034, 1271, 1876, 585, 2079, 540, 1034, 1949, 543, 519, 835, 602, 3067, 5809, 875, 8143, 1648, 568, 9927, 547, 824, 3029, 540, 1648, 780, 763, 5687, 17871, 9979, 666, 581, 5258, 883, 1079, 3119, 5049, 1384, 1892, 5295, 9979, 269, 5295, 9979, 616, 9979, 799, 6460, 930, 3002, 3403, 883, 513, 7344, 960, 3977, 269, 26457, 17871, 1379, 9979, 616, 519, 4493, 585, 519, 5106, 540, 3002, 9817, 267, 799, 2196, 519, 5318, 5354, 540, 5179, 6472, 543, 5352, 476, 1109, 2865, 540, 519, 1158, 779, 3167, 1379, 563, 1892, 14333, 6802, 9979, 269, 476, 1109, 28959, 6802, 9979, 4483, 3002, 689, 1970, 547, 1164, 5210, 1210, 7344, 960, 3403, 269, 1703, 568, 1100, 3017, 1063, 32721, 540, 14023, 2209, 543, 3002, 15450, 269, 5637, 960, 676, 3001, 3002, 689, 513, 4411, 2230, 547, 513, 3636, 2230, 780, 763, 1739, 8760, 540, 5687, 17871, 9979, 568, 1500, 2687, 547, 741, 25499, 5687, 17871, 3157, 269, 769, 2259, 267, 2241, 4998, 1242, 5687, 17871, 9979, 616, 2356, 1500, 856, 540, 2185, 5687, 17871, 3157, 269, 769, 2489, 267, 519, 1739, 3157, 2356, 13822, 5687, 17871, 9979, 1384, 1012, 2961, 2254, 18888, 692, 1103, 476, 9264, 275, 267, 513, 3943, 11653, 543, 21997, 267, 12832, 15614, 700, 2946, 517, 731, 590, 14508, 2961, 2254, 4359, 519, 1353, 540, 519, 2034, 1876, 676, 8108, 513, 6240, 630, 10193, 1572, 2961, 2254, 779, 4341, 264, 602, 23403, 7182, 593, 519, 5021, 4398, 1022, 3002, 2599, 666, 3489, 269, 769, 2110, 267, 713, 6240, 2829, 602, 519, 4398, 540, 513, 5687, 17871, 4783, 5673, 9003, 593, 519, 3017, 1063, 519, 3905, 543, 4411, 2837, 23854, 780, 10111, 2254, 779, 6240, 2829, 1384, 272, 269, 3143, 2599, 666, 581, 811, 3608, 982, 513, 31181, 2599, 630, 320, 2961, 2254, 3002, 2599, 264, 5665, 1063, 519, 1482, 1164, 2837, 543, 1970, 2837, 23854, 563, 273, 269, 634, 31931, 540, 782, 31181, 9817, 630, 10111, 2254, 3002, 9817, 264, 5665, 1063, 519, 1482, 3586, 2837, 23854, 616, 519, 1482, 267, 7488, 540, 519, 2324, 6219, 6964, 610, 519, 5106, 3877, 780, 763, 4783, 540, 713, 2599, 568, 1572, 519, 2961, 2254, 4783, 269, 589, 1062, 18460, 513, 2961, 2254, 4783, 568, 1572, 513, 2961, 2254, 3002, 2599, 269, 898, 568, 711, 606, 4890, 5687, 17871, 4783, 855, 568, 513, 7811, 4020, 543, 3112, 581, 3710, 538, 2259, 269, 2353, 1483, 5687, 17871, 3157, 616, 11214, 26464, 269, 1358, 616, 711, 2944, 28222, 7444, 543, 31208, 2572, 574, 958, 1507, 3268, 538, 2837, 616, 849, 513, 7811, 5708, 269, 4475, 267, 3002, 9817, 1590, 723, 2539, 31931, 982, 7182, 593, 741, 4398, 1813, 547, 519, 7915, 9048, 951, 2225, 540, 519, 3002, 2599, 4783, 789, 946, 780, 1012, 32572, 18888, 692, 763, 4783, 540, 519, 32572, 2599, 568, 1572, 519, 32572, 4783, 269, 898, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 18914, 9817, 543, 6257, 519, 8647, 540, 513, 6093, 8141, 27307, 25059, 2599, 269, 769, 4334, 547, 2961, 2254, 4783, 267, 519, 32572, 4783, 1281, 711, 14892, 568, 18540, 3157, 267, 1317, 891, 1590, 581, 5340, 1360, 7444, 269, 769, 606, 4998, 32572, 4783, 267, 519, 1062, 22589, 519, 4783, 25457, 513, 3126, 540, 2185, 24323, 31181, 3157, 281, 1079, 568, 550, 22241, 630, 516, 23983, 740, 328, 629, 1738, 264, 3157, 3124, 730, 609, 1079, 568, 5255, 7595, 3157, 780, 7712, 2961, 2254, 779, 6240, 2829, 602, 1100, 2599, 666, 581, 811, 3608, 982, 513, 31181, 2599, 630, 320, 2961, 2254, 3002, 2599, 264, 5665, 1063, 519, 1482, 1164, 2837, 543, 1970, 2837, 23854, 267, 519, 32572, 2599, 621, 1590, 723, 2539, 4398, 982, 519, 2961, 2254, 4398, 269, 589, 6093, 17405, 16669, 2599, 13333, 693, 1472, 476, 1839, 260, 547, 476, 1789, 260, 540, 8143, 4398, 269, 6168, 476, 3583, 268, 4037, 260, 568, 15653, 607, 3653, 3002, 1510, 1373, 10736, 883, 3730, 960, 267, 1775, 4318, 269, 960, 9447, 547, 14743, 780, 1012, 667, 19342, 18888, 692, 291, 19342, 4783, 568, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 18914, 9817, 543, 6257, 519, 8647, 540, 513, 6093, 13496, 27307, 25059, 2599, 269, 634, 667, 19342, 2599, 568, 2147, 538, 5106, 547, 519, 17405, 2599, 269, 634, 1034, 1271, 3017, 568, 602, 1384, 1892, 1703, 568, 1100, 4492, 538, 519, 12718, 693, 519, 4098, 540, 519, 13496, 8482, 267, 4061, 606, 10081, 793, 819, 1281, 711, 2049, 538, 667, 19342, 9817, 563, 1892, 667, 19342, 2599, 3096, 13496, 27307, 3079, 540, 8141, 27307, 563, 1892, 5221, 540, 519, 1164, 2837, 2919, 1282, 519, 740, 328, 629, 1738, 13496, 267, 519, 4492, 5337, 2572, 31380, 607, 621, 568, 22280, 269, 4475, 1100, 8141, 11690, 338, 616, 2877, 563, 1892, 6969, 519, 4098, 540, 519, 1379, 8482, 267, 519, 7630, 832, 1376, 547, 7630, 4492, 2047, 883, 519, 13674, 12068, 543, 4061, 1101, 851, 540, 1379, 8482, 4386, 5111, 693, 519, 3586, 2604, 563, 1892, 14451, 13496, 12753, 666, 581, 6913, 538, 667, 19342, 9817, 267, 982, 538, 32572, 9817, 692, 1012, 645, 2001, 2023, 18888, 692, 1103, 476, 6942, 273, 267, 606, 1977, 11653, 267, 6723, 13391, 13704, 645, 2001, 2023, 4359, 519, 1353, 540, 3002, 9817, 676, 14664, 532, 513, 3586, 2604, 4835, 13674, 2599, 267, 7620, 1210, 11517, 1242, 3154, 855, 2663, 1210, 5277, 10173, 971, 607, 737, 14058, 2940, 269, 901, 3002, 2599, 568, 1634, 607, 968, 289, 2001, 2023, 779, 27973, 16359, 269, 898, 1797, 267, 519, 3312, 645, 2001, 2023, 2599, 1031, 513, 25059, 26468, 543, 25059, 4228, 518, 3079, 540, 513, 3154, 17081, 543, 3154, 26468, 780, 9213, 267, 2413, 3154, 17081, 9817, 543, 2011, 321, 805, 3107, 15191, 9817, 616, 849, 513, 3586, 25774, 3002, 9817, 267, 4061, 649, 4766, 741, 32721, 676, 519, 645, 2001, 2023, 4783, 269, 769, 2489, 267, 519, 645, 2001, 2023, 4783, 6257, 519, 25029, 540, 513, 3586, 25774, 3002, 2599, 780, 2005, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 602, 666, 581, 1336, 538, 3154, 17081, 1379, 2371, 610, 538, 27858, 269, 769, 4334, 547, 2961, 2254, 4783, 267, 519, 645, 2001, 2023, 4783, 1281, 711, 14892, 568, 18540, 3157, 267, 1317, 891, 1590, 581, 5340, 1360, 7444, 269, 769, 606, 4998, 645, 2001, 2023, 4783, 267, 519, 1062, 22589, 519, 4783, 25457, 513, 3126, 540, 2185, 3157, 281, 1079, 568, 550, 22241, 630, 516, 23983, 740, 328, 629, 1738, 264, 3157, 3124, 730, 609, 1079, 568, 984, 541, 545, 3157, 780, 1012, 24419, 710, 18888, 692, 1103, 476, 6977, 280, 267, 513, 13677, 11653, 267, 5261, 3627, 5839, 638, 1941, 24419, 710, 4359, 519, 1353, 540, 3002, 9817, 676, 13629, 519, 968, 10048, 783, 540, 519, 29673, 5422, 543, 4033, 11788, 7720, 951, 6100, 24419, 710, 2919, 513, 2347, 3069, 540, 519, 9252, 2599, 543, 8197, 540, 782, 3002, 9817, 269, 8625, 609, 23052, 6504, 1849, 9476, 3780, 543, 5261, 774, 1682, 517, 630, 299, 867, 22398, 9109, 1070, 646, 729, 513, 23784, 547, 519, 32721, 267, 3226, 2519, 593, 519, 1101, 540, 519, 1614, 5687, 17871, 4031, 7868, 24419, 710, 4783, 729, 3957, 1310, 1864, 543, 6257, 519, 2773, 540, 9252, 17081, 1949, 267, 1498, 519, 7811, 6240, 849, 10039, 547, 25262, 908, 9817, 971, 607, 9252, 21525, 582, 1161, 269, 769, 2489, 267, 519, 24419, 710, 4783, 568, 606, 4998, 1242, 5687, 17871, 4783, 540, 513, 3586, 2604, 3002, 2599, 602, 17838, 851, 540, 3002, 883, 7344, 960, 269, 769, 713, 4783, 519, 3002, 568, 13859, 608, 27238, 547, 513, 6806, 8520, 267, 799, 2356, 3096, 1216, 630, 514, 513, 5277, 543, 11517, 5123, 264, 607, 519, 2324, 5714, 269, 769, 4334, 547, 519, 645, 2001, 2023, 4783, 267, 519, 2324, 5714, 538, 519, 24419, 710, 4783, 1109, 8974, 2998, 519, 5123, 1689, 1109, 5228, 513, 5277, 547, 11517, 5123, 543, 13030, 17930, 780, 4407, 1082, 6878, 1223, 581, 1031, 607, 519, 2324, 5714, 538, 519, 24419, 710, 4783, 630, 514, 16955, 610, 1256, 5214, 1070, 1216, 568, 2356, 519, 5714, 540, 3903, 1813, 547, 922, 15028, 3601, 267, 971, 607, 922, 1875, 3562, 13877, 543, 11389, 5562, 7998, 267, 11606, 267, 543, 1970, 1942, 267, 607, 1134, 607, 922, 5687, 17871, 3601, 269, 1280, 1383, 267, 1216, 814, 519, 5207, 1808, 3002, 540, 1022, 1455, 6219, 1107, 476, 1109, 275, 269, 866, 737, 297, 21515, 918, 269, 5047, 621, 814, 1360, 1164, 3002, 540, 11517, 1436, 267, 799, 2306, 621, 606, 2500, 3579, 656, 543, 5420, 538, 8143, 1379, 2371, 543, 824, 1648, 2872, 269, 1109, 1103, 2013, 540, 519, 24419, 710, 4783, 267, 519, 26758, 13937, 4521, 3592, 3112, 581, 1031, 630, 4614, 600, 798, 711, 1246, 533, 309, 284, 333, 20670, 1070, 4061, 782, 1271, 6724, 540, 1216, 543, 9252, 616, 9184, 4327, 538, 865, 1572, 968, 17556, 600, 23959, 2108, 780, 3080, 540, 519, 2101, 5383, 540, 519, 24419, 710, 4783, 568, 602, 519, 13496, 1184, 538, 519, 6802, 3217, 1747, 593, 513, 5277, 269, 1635, 7873, 14819, 519, 2324, 9252, 547, 513, 5277, 630, 1231, 728, 513, 7873, 27660, 264, 519, 2604, 693, 519, 17081, 17752, 568, 22485, 543, 519, 1648, 2838, 676, 519, 3049, 6802, 27499, 1152, 476, 272, 260, 547, 476, 274, 260, 540, 519, 17081, 3977, 1379, 543, 891, 2188, 3565, 547, 513, 2362, 4398, 585, 519, 4783, 780, 9213, 267, 519, 24419, 710, 4783, 568, 519, 4909, 5665, 4783, 540, 782, 8143, 1379, 2371, 1141, 606, 5665, 5714, 568, 11179, 18493, 730, 543, 27772, 269, 898, 568, 519, 835, 540, 1034, 1455, 5687, 17871, 9979, 267, 1317, 538, 1034, 540, 519, 4025, 538, 519, 1158, 519, 17081, 568, 9252, 12454, 780, 27066, 912, 301, 13086, 543, 1234, 18503, 8212, 912, 272, 269, 808, 269, 681, 269, 19681, 6702, 267, 4985, 547, 17437, 1234, 18503, 7869, 267, 476, 273, 526, 1196, 1421, 5410, 2581, 8862, 525, 2917, 267, 7335, 267, 1109, 7246, 630, 2735, 274, 1916, 273, 269, 808, 269, 681, 269, 19681, 6702, 267, 589, 269, 808, 269, 4446, 520, 3279, 267, 4985, 547, 17437, 7177, 267, 476, 274, 323, 1196, 1421, 623, 1370, 823, 6953, 718, 267, 476, 1220, 272, 267, 9768, 281, 476, 271, 268, 1001, 268, 279, 2190, 7176, 268, 272, 563, 274, 269, 654, 269, 631, 269, 853, 864, 344, 267, 17437, 1234, 18503, 8212, 267, 3627, 25067, 1299, 25860, 267, 476, 1220, 272, 267, 9768, 281, 476, 271, 268, 476, 5325, 272, 268, 4375, 272, 2767, 268, 272, 563, 275, 269, 26909, 7723, 267, 590, 525, 976, 651, 269, 17437, 1234, 18503, 7177, 281, 1234, 18503, 7010, 7177, 267, 1109, 306, 1440, 5424, 282, 476, 275, 628, 7160, 267, 476, 1960, 275, 267, 9768, 281, 1109, 7818, 268, 271, 6078, 29218, 276, 4029, 278, 454, 276, 269, 654, 2529, 5861, 269, 13879, 269, 17437, 543, 3487, 1834, 8212, 269, 1109, 5141, 732, 526, 517, 4964, 282, 476, 272, 7160, 267, 476, 1960, 272, 267, 9768, 281, 1109, 7818, 268, 25171, 5952, 273, 271, 5379, 278, 454, 277, 269, 26366, 996, 590, 269, 918, 8735, 269, 13823, 2563, 17437, 8212, 267, 476, 274, 6113, 9990, 267, 25067, 267, 476, 2735, 278, 267, 1109, 25835, 281, 1109, 7818, 268, 271, 5325, 5197, 4649, 274, 274, 454, 278, 269, 717, 10611, 269, 16605, 514, 269, 8212, 540, 17437, 918, 27282, 269, 1109, 11754, 2581, 8862, 525, 2917, 6583, 269, 3213, 282, 476, 272, 560, 7160, 267, 476, 3422, 276, 454, 279, 269, 7917, 32149, 22210, 267, 4985, 547, 17437, 1234, 18503, 20491, 267, 476, 2735, 279, 563, 280, 269, 772, 2529, 269, 4972, 540, 6052, 267, 17437, 8212, 543, 1234, 18503, 7869, 269, 1109, 23077, 292, 26386, 18361, 267, 1109, 24127, 476, 272, 543, 476, 273, 269, 1109, 20464, 1109, 1960, 274, 269, 0, 1012, 476, 6812, 568, 1018, 6871, 540, 476, 9340, 2496, 6812, 568, 476, 7367, 269, 21857, 260, 540, 476, 9340, 692, 258, 20587, 720, 26732, 692, 8196, 891, 6871, 26732, 547, 960, 856, 21159, 3533, 269, 1403, 596, 1616, 547, 917, 875, 547, 960, 873, 856, 3054, 267, 1246, 519, 1806, 2630, 547, 1451, 875, 780, 1012, 12433, 1018, 2600, 835, 1871, 568, 540, 1776, 692, 719, 540, 568, 875, 1082, 2600, 2496, 1012, 12433, 519, 6871, 540, 513, 1871, 692, 1432, 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 ]

[ 707, 6492, 543, 6578, 563, 276, 269, 1234, 1790, 5593, 543, 1689, 519, 1225, 13935, 454, 2252, 596, 723, 513, 2911, 609, 606, 9703, 14704, 1287, 596, 786, 1265, 602, 789, 1747, 1164, 22644, 593, 556, 1790, 31021, 543, 4657, 1225, 13935, 950, 789, 1616, 547, 9337, 513, 10051, 6488, 2406, 269, 1403, 596, 6999, 547, 1689, 519, 2681, 540, 707, 10051, 543, 723, 513, 1007, 1413, 1287, 596, 1175, 991, 513, 10359, 540, 1007, 5862, 269, 898, 779, 8797, 547, 3442, 3282, 2861, 19267, 865, 602, 621, 779, 4443, 547, 2973, 25859, 563, 300, 2255, 519, 2681, 540, 707, 1225, 13935, 538, 707, 10051, 609, 519, 2681, 540, 519, 1007, 5862, 543, 1294, 1018, 513, 3017, 713, 2306, 547, 707, 10051, 269, 4354, 13935, 991, 547, 581, 4957, 5781, 607, 789, 10110, 3282, 543, 1426, 24462, 538, 707, 10051, 269, 7427, 891, 1079, 10097, 2081, 543, 723, 513, 1007, 3168, 10051, 1510, 8380, 513, 8559, 538, 707, 17927, 563, 277, 269, 7827, 519, 10051, 31316, 564, 454, 16352, 513, 1007, 31316, 564, 538, 707, 10051, 786, 711, 1152, 2285, 513, 1007, 1413, 547, 707, 10051, 855, 1131, 1118, 5986, 4443, 269, 1411, 666, 1689, 547, 513, 26339, 31316, 564, 865, 602, 11423, 543, 7738, 2462, 27022, 568, 4443, 547, 798, 269, 1411, 666, 723, 513, 7678, 344, 9096, 865, 602, 519, 10051, 814, 513, 1007, 1413, 563, 278, 269, 5620, 513, 19758, 680, 1662, 1858, 454, 2252, 596, 798, 711, 723, 513, 19758, 680, 1662, 1858, 538, 707, 10051, 610, 596, 10093, 1406, 1185, 835, 1500, 540, 2025, 2966, 17981, 1287, 621, 1131, 581, 929, 644, 550, 547, 1689, 1346, 269, 901, 4781, 786, 1118, 7738, 2653, 543, 693, 519, 1482, 942, 2285, 513, 1007, 1413, 547, 707, 10051, 269, 1403, 596, 1745, 602, 11449, 17981, 568, 7133, 707, 6578, 1287, 596, 666, 946, 519, 23296, 4290, 543, 5862, 1505, 547, 723, 835, 799, 786, 1039, 513, 1007, 10155, 547, 707, 10051, 563, 279, 269, 16179, 1007, 14233, 454, 2791, 949, 4898, 952, 713, 568, 10097, 269, 898, 568, 596, 723, 606, 1930, 3750, 543, 2247, 950, 1818, 707, 6718, 269, 1703, 616, 513, 1297, 540, 3906, 1818, 2139, 3730, 14233, 585, 707, 10051, 693, 10097, 3928, 269, 1411, 666, 4444, 891, 5329, 707, 4064, 1930, 865, 602, 596, 1205, 519, 1655, 1871, 585, 519, 2724, 602, 596, 616, 7836, 563, 2252, 596, 723, 1500, 909, 707, 2247, 547, 723, 513, 1007, 1413, 585, 707, 10051, 1287, 596, 1590, 723, 8068, 602, 1585, 6455, 543, 28774, 616, 6035, 676, 1065, 3176, 9755, 540, 10051, 14233, 269, 1411, 991, 547, 10544, 1346, 3681, 543, 4444, 14233, 602, 596, 991, 269, 634, 14233, 786, 711, 1152, 1118, 5986, 513, 12257, 855, 786, 849, 3986, 519, 26955, 14585, 540, 707, 10051, 563, 28775, 2685, 267, 676, 1631, 596, 723, 1336, 930, 2081, 547, 9337, 707, 10051, 6488, 2406, 269, 1411, 1810, 1406, 991, 547, 2936, 782, 540, 519, 5697, 3681, 1657, 267, 3274, 3442, 1346, 602, 9290, 707, 6492, 543, 6578, 269, 1403, 596, 798, 649, 616, 1978, 596, 786, 723, 513, 1007, 23302, 10051, 269 ]

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

[ 0, 8967, 7590, 540, 5835, 5810, 1930, 538, 695, 8014, 4025, 630, 7945, 607, 28816, 8728, 543, 2282, 15949, 3455, 3298, 264, 2356, 1063, 2904, 543, 5437, 4352, 5810, 666, 581, 1336, 538, 1169, 3923, 540, 519, 1032, 267, 519, 5810, 3384, 883, 513, 3276, 6438, 2212, 540, 5613, 609, 26070, 6960, 29945, 269, 634, 3597, 568, 1031, 607, 513, 24996, 538, 27130, 543, 849, 585, 7657, 28666, 513, 548, 267, 15029, 538, 18691, 267, 621, 568, 20295, 609, 519, 1379, 547, 5397, 2476, 9409, 14326, 267, 2149, 1996, 14739, 573, 5243, 267, 543, 15658, 543, 9006, 10535, 15315, 256, 898, 729, 2404, 609, 8567, 1317, 922, 3762, 8057, 538, 555, 4181, 543, 922, 24968, 538, 535, 1161, 630, 516, 2381, 529, 1417, 540, 519, 10513, 27076, 543, 519, 12866, 654, 2432, 1916, 2690, 1655, 2164, 267, 30889, 5612, 5196, 513, 1434, 3037, 2861, 11003, 269, 15147, 519, 5452, 609, 5386, 27497, 610, 11003, 547, 5111, 741, 1378, 3178, 269, 1358, 666, 581, 521, 1144, 693, 1022, 942, 267, 543, 23286, 666, 3006, 581, 18334, 952, 6854, 693, 476, 1428, 547, 476, 736, 5232, 595, 269, 1284, 30889, 1034, 5452, 538, 606, 796, 515, 730, 8511, 543, 7227, 585, 2067, 23286, 267, 607, 1082, 5452, 723, 3710, 2987, 18959, 3599, 6127, 267, 1419, 7996, 585, 2067, 5614, 23286, 267, 8754, 4758, 873, 513, 2407, 4005, 540, 2208, 563, 13349, 2012, 281, 24841, 1285, 839, 267, 4173, 321, 26999, 564, 267, 23045, 342, 677, 2073, 853, 269, 31409, 781, 10786, 0, 10345, 5495, 299, 630, 3725, 26407, 264, 910, 2368, 3602, 538, 3345, 9705, 267, 811, 982, 476, 4335, 3162, 11114, 14586, 540, 2112, 723, 1044, 4371, 585, 811, 982, 3368, 513, 2540, 267, 782, 855, 1978, 547, 6108, 741, 3803, 2395, 538, 519, 5728, 633, 1533, 1510, 513, 4960, 540, 2479, 13059, 1753, 563, 763, 476, 28794, 616, 782, 945, 2611, 9800, 540, 1018, 1530, 9567, 9193, 941, 827, 476, 3199, 267, 1822, 3162, 11114, 7980, 945, 941, 2451, 593, 519, 4636, 2427, 540, 513, 12019, 2782, 7941, 950, 513, 24044, 13933, 8694, 519, 476, 4198, 271, 268, 7871, 11114, 2782, 563, 2414, 519, 3345, 267, 789, 941, 711, 14586, 267, 855, 2111, 1532, 617, 1221, 31356, 945, 1223, 948, 25580, 922, 2112, 268, 9545, 3042, 4346, 543, 1522, 581, 18617, 998, 556, 268, 25531, 602, 789, 941, 1259, 1189, 14552, 1732, 1055, 538, 519, 21340, 1533, 563, 13695, 784, 344, 836, 814, 17792, 585, 5756, 621, 814, 1044, 8066, 1022, 3162, 11114, 31266, 338, 267, 6031, 519, 9937, 540, 5215, 18423, 593, 741, 1378, 11063, 563, 2005, 814, 1631, 2968, 5176, 7543, 585, 519, 3345, 547, 1577, 1022, 31266, 338, 4734, 1317, 621, 1281, 711, 1616, 547, 1981, 1373, 6534, 538, 513, 7301, 3125, 621, 814, 9738, 585, 5756, 267, 19767, 1767, 563, 14071, 941, 5806, 3990, 1996, 267, 838, 1221, 593, 543, 14478, 269, 1284, 941, 711, 4847, 547, 1847, 2223, 1767, 962, 5622, 932, 592, 27940, 334, 267, 835, 540, 519, 827, 476, 3199, 5449, 3162, 11114, 31266, 338, 945, 7307, 547, 9101, 689, 519, 3345, 543, 1287, 729, 22653, 1243, 609, 14077, 538, 519, 3162, 563, 21026, 11114, 5518, 10557, 3733, 2426, 1532, 752, 814, 20399, 519, 3345, 547, 2132, 519, 31266, 338, 543, 6499, 547, 946, 519, 476, 2568, 628, 16683, 540, 519, 12176, 540, 519, 2112, 547, 10131, 513, 4745, 4674, 609, 12877, 784, 344, 836, 585, 519, 6051, 540, 519, 3788, 540, 7980, 2451, 593, 519, 824, 2427, 540, 519, 8473, 563, 10527, 31266, 338, 945, 2611, 616, 1869, 2713, 538, 4250, 269, 594, 729, 476, 3583, 1296, 2025, 950, 594, 23012, 538, 476, 1220, 271, 543, 594, 6785, 621, 729, 1732, 547, 5884, 3843, 982, 547, 5884, 538, 3345, 9705, 4805, 2223, 962, 5622, 1767, 563, 312, 5622, 267, 20754, 538, 6370, 267, 729, 3144, 26956, 676, 4457, 7980, 8165, 585, 519, 3345, 1175, 4374, 1354, 519, 6186, 626, 823, 11063, 729, 9896, 269, 1261, 729, 11843, 547, 513, 960, 3786, 5087, 540, 12877, 784, 344, 836, 543, 2760, 5143, 540, 519, 26956, 5385, 602, 729, 513, 851, 540, 519, 24044, 13933, 6876, 563, 14071, 941, 2322, 547, 960, 543, 2016, 16809, 2069, 3034, 763, 3345, 2366, 1394, 827, 476, 280, 267, 1822, 3162, 11114, 14586, 267, 2687, 547, 513, 3162, 11114, 2229, 1867, 269, 8409, 621, 6854, 941, 2366, 547, 960, 3877, 543, 7142, 693, 7784, 4812, 547, 1129, 3616, 25730, 6031, 789, 5497, 547, 3251, 538, 519, 3345, 563, 22139, 9705, 2322, 519, 3162, 6401, 753, 547, 960, 538, 4025, 971, 607, 15183, 543, 6854, 873, 896, 9856, 2394, 827, 476, 4198, 278, 563, 2005, 1287, 4847, 1034, 540, 873, 547, 4283, 2486, 267, 16550, 873, 883, 7365, 609, 2112, 610, 874, 753, 543, 11097, 3298, 269, 634, 1007, 3885, 941, 6854, 896, 2673, 4585, 547, 2061, 1219, 1254, 8942, 267, 5449, 31266, 338, 543, 519, 2229, 1867, 1767, 563, 2108, 7069, 4651, 729, 9310, 538, 513, 2527, 16806, 269, 634, 3345, 1175, 20083, 909, 4408, 267, 543, 5143, 1004, 789, 941, 9393, 543, 7385, 2223, 1767, 10557, 14717, 517, 268, 22792, 267, 4535, 540, 835, 540, 1346, 15185, 543, 1631, 11381, 30513, 540, 7731, 5742, 540, 11114, 31266, 338, 5489, 7134, 538, 3345, 9705, 563, 299, 2465, 779, 4651, 5747, 538, 476, 1220, 271, 543, 1352, 6707, 1500, 621, 547, 3162, 9705, 513, 1906, 1296, 2663, 269, 3345, 9705, 27052, 1200, 1920, 585, 1200, 1219, 1254, 19915, 676, 11488, 1200, 3993, 543, 7015, 547, 513, 7890, 3786, 1141, 789, 5747, 538, 26692, 267, 1352, 1767, 563, 763, 1895, 267, 799, 13333, 856, 540, 513, 1507, 5604, 538, 513, 1970, 268, 1370, 1858, 540, 1530, 9567, 267, 814, 1044, 11319, 585, 519, 2132, 540, 519, 31266, 338, 563, 2108, 22139, 9705, 568, 4730, 519, 31266, 3556, 543, 519, 3885, 540, 519, 31266, 338, 616, 538, 2587, 340, 880, 1169, 1554, 2223, 10557, 1767, 563, 10527, 31266, 338, 616, 936, 476, 3199, 543, 789, 666, 1406, 2132, 4805, 269, 1358, 616, 849, 4881, 856, 540, 4126, 602, 519, 6401, 553, 786, 581, 19618, 543, 602, 789, 666, 1294, 741, 3885, 1586, 3034, 10955, 1746, 676, 5981, 27672, 517, 0, 3422, 274, 24199, 654, 3008, 5990, 654, 7417, 298, 8946, 2969, 1862, 634, 4279, 21541, 7605, 25053, 267, 16716, 267, 543, 1216, 14784, 941, 1818, 24657, 898, 729, 21787, 602, 513, 10880, 676, 2679, 4600, 1223, 2800, 3356, 540, 519, 1007, 1261, 6758, 540, 519, 966, 4150, 903, 4155, 543, 519, 1646, 540, 519, 590, 1197, 333, 15167, 267, 3182, 3293, 1934, 896, 4070, 609, 10256, 6446, 5224, 585, 519, 3243, 7542, 787, 9944, 621, 563, 300, 2562, 7473, 2464, 1310, 16116, 909, 476, 2412, 15915, 585, 513, 1554, 781, 23593, 547, 519, 631, 3518, 956, 267, 519, 31784, 9252, 518, 9315, 858, 10348, 10443, 989, 1037, 563, 21026, 12986, 1554, 2389, 686, 13827, 941, 7142, 547, 7227, 607, 519, 9252, 518, 7283, 12758, 538, 519, 2997, 517, 717, 5282, 267, 2282, 519, 30290, 20022, 8115, 563, 9515, 729, 1813, 547, 1289, 693, 9315, 858, 267, 6755, 14390, 267, 31550, 543, 19129, 325, 571, 1260, 2041, 267, 543, 729, 2111, 547, 1305, 13743, 1586, 1310, 476, 3445, 3764, 563, 32481, 476, 1911, 267, 1822, 2022, 5443, 941, 538, 1899, 585, 2628, 14380, 602, 1131, 1942, 519, 5403, 8433, 606, 3063, 6550, 476, 273, 2742, 1032, 563, 5353, 1203, 8696, 4458, 29419, 1131, 1294, 741, 23269, 2333, 676, 476, 274, 338, 547, 6550, 476, 276, 476, 277, 338, 267, 1247, 1346, 936, 476, 1839, 1131, 581, 476, 275, 338, 476, 277, 323, 1732, 1055, 267, 2921, 1753, 6550, 476, 1556, 476, 1428, 338, 563, 13563, 2777, 342, 1161, 1185, 3943, 5518, 8176, 632, 717, 4954, 548, 547, 9684, 585, 930, 540, 519, 10464, 652, 17944, 2479, 547, 2408, 593, 2706, 21466, 21684, 563, 303, 4301, 625, 20483, 676, 632, 717, 4954, 548, 5921, 602, 16865, 2475, 17944, 2968, 811, 7199, 538, 3864, 15945, 267, 543, 519, 4611, 22965, 538, 3013, 1185, 7142, 5777, 1524, 547, 476, 2918, 21347, 630, 272, 338, 476, 279, 323, 264, 829, 11013, 563, 21026, 12986, 4871, 5234, 941, 1851, 1346, 6236, 2436, 547, 10880, 936, 513, 476, 274, 476, 272, 270, 273, 4939, 2628, 2333, 6035, 676, 519, 11565, 2465, 14205, 902, 7813, 543, 5722, 824, 10909, 563, 1103, 519, 12687, 540, 1018, 1131, 1831, 1634, 607, 519, 4279, 21541, 7605, 25053, 267, 513, 2319, 1993, 3713, 1161, 986, 1027, 476, 2412, 5195, 689, 3502, 1154, 5069, 1729, 519, 8498, 540, 28234, 2421, 547, 1294, 513, 561, 13446, 5156, 547, 581, 4448, 609, 621, 563, 763, 14460, 6174, 1185, 1044, 19481, 676, 513, 16027, 267, 543, 10492, 1767, 621, 8659, 2963, 2451, 3297, 676, 519, 14228, 602, 1185, 21687, 1018, 729, 5156, 547, 581, 6550, 476, 273, 269, 276, 332, 563, 289, 3471, 941, 1869, 12719, 741, 9271, 267, 865, 519, 4137, 729, 4397, 547, 4473, 563, 19602, 267, 5721, 9920, 10793, 24759, 267, 13676, 538, 519, 986, 573, 267, 1185, 26809, 5128, 689, 6413, 910, 646, 1131, 2760, 4628, 9156, 267, 543, 2760, 8120, 547, 960, 1354, 12955, 538, 476, 3192, 271, 563, 291, 904, 2663, 267, 7128, 1336, 519, 3775, 1499, 262, 12404, 719, 267, 606, 9678, 3484, 602, 789, 1185, 2451, 538, 513, 31657, 563, 10521, 4627, 6009, 941, 1813, 547, 581, 2813, 693, 513, 6550, 476, 273, 269, 276, 332, 1984, 6069, 676, 2871, 652, 3223, 523, 543, 4880, 1479, 9110, 1091, 630, 21026, 12986, 264, 13456, 693, 7066, 332, 528, 17304, 267, 9315, 858, 563, 763, 1984, 1131, 581, 519, 1034, 2413, 540, 922, 2186, 538, 519, 1158, 267, 543, 1131, 13497, 2333, 519, 4390, 540, 519, 6109, 267, 799, 2907, 6964, 476, 272, 267, 1822, 1004, 563, 16954, 22256, 543, 2797, 5859, 518, 21115, 5446, 7083, 590, 8553, 729, 11074, 676, 7128, 950, 646, 543, 1079, 1866, 6836, 547, 5397, 6517, 883, 519, 670, 11817, 540, 12057, 563, 2304, 8097, 29964, 8154, 18213, 3028, 2066, 519, 30290, 19305, 1185, 9863, 971, 513, 1967, 602, 513, 2834, 1286, 7542, 787, 1522, 581, 5665, 676, 476, 3422, 277, 268, 6858, 267, 922, 5411, 1767, 563, 7212, 513, 1007, 1826, 540, 29964, 8154, 1131, 723, 547, 581, 3710, 267, 519, 6109, 12479, 602, 621, 1223, 1020, 513, 12363, 693, 4639, 517, 1606, 10967, 5336, 732, 543, 1776, 693, 835, 540, 1614, 2798, 1063, 9315, 858, 543, 6755, 14390, 563, 288, 4387, 5734, 856, 693, 519, 1249, 602, 1256, 1498, 9315, 858, 729, 7092, 513, 8027, 6433, 267, 646, 1185, 1044, 3843, 585, 2185, 1296, 547, 6133, 513, 2185, 1532, 539, 3336, 2777, 538, 21582, 8822, 10003, 5101, 563, 4263, 513, 4058, 14374, 267, 646, 1767, 18864, 4941, 547, 2661, 538, 519, 1858, 1317, 621, 729, 513, 834, 14653, 577, 1494, 577, 257, 540, 15945, 267, 4213, 543, 5321, 563, 303, 517, 1399, 1440, 1342, 21717, 15182, 731, 7338, 9976, 1010, 476, 1704, 628, 14512, 538, 2511, 269, 2311, 476, 1015, 269, 1428, 600, 8867, 517, 731, 267, 945, 1185, 2760, 1185, 513, 6117, 3992, 593, 606, 1930, 4155, 267, 1185, 513, 1008, 29850, 6132, 775, 269, 2311, 476, 274, 269, 1789, 10975, 646, 2893, 1010, 6117, 1449, 543, 693, 476, 275, 10975, 646, 729, 513, 11727, 9920, 563, 3891, 1185, 1316, 2213, 6117, 3330, 519, 20583, 13452, 540, 519, 5179, 1560, 7816, 6300, 1141, 646, 5249, 267, 543, 5795, 1286, 1688, 6786, 607, 646, 887, 1372, 1753, 593, 1010, 17919, 563, 16031, 1733, 2089, 344, 543, 6004, 9931, 941, 693, 2112, 910, 1079, 4672, 29931, 2459, 523, 941, 538, 5480, 1310, 513, 21535, 936, 945, 1223, 960, 538, 661, 6277, 342, 309, 1446, 269, 1879, 835, 540, 1010, 15712, 3323, 9513, 4672, 29931, 600, 593, 1010, 15429, 267, 519, 654, 8712, 262, 9920, 14736, 539, 1010, 15180, 781, 8709, 267, 3576, 519, 10569, 689, 519, 27307, 543, 1577, 1524, 1010, 1119, 637, 563, 3891, 729, 10288, 547, 2628, 6550, 476, 866, 476, 276, 338, 476, 277, 323, 563, 763, 5783, 538, 12986, 4421, 9315, 858, 781, 16836, 20211, 1228, 547, 513, 2199, 3959, 2754, 585, 513, 4137, 834, 11357, 560, 656, 6053, 538, 4430, 540, 6550, 476, 7742, 267, 1822, 8487, 4910, 6342, 540, 23117, 728, 267, 9315, 858, 267, 941, 5143, 602, 476, 10037, 540, 741, 8075, 941, 4652, 527, 585, 1480, 3110, 2787, 269, 634, 3375, 3357, 607, 851, 540, 513, 25471, 6718, 1931, 689, 9315, 858, 14643, 585, 3670, 14143 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3086, 602, 707, 7293, 2609, 616, 538, 1747, 543, 1396, 909, 267, 621, 568, 942, 547, 2490, 707, 3007, 547, 519, 2571, 2675, 1901, 267, 543, 2523, 547, 4677, 6272, 269, 15380, 267, 707, 2571, 2675, 1901, 786, 1331, 693, 2547, 930, 15989, 269, 1809, 519, 6871, 540, 707, 2571, 2675, 1901, 547, 581, 3144, 909, 676, 15989, 786, 4096, 14356, 593, 4052, 9270, 267, 607, 5941, 593, 8525, 476, 272, 267, 607, 1134, 607, 593, 12716, 8456, 269, 1403, 513, 6366, 1163, 534, 572, 540, 6371, 1175, 3884, 1405, 20244, 4277, 2614, 585, 707, 16919, 267, 596, 3513, 4440, 1616, 15496, 4054, 630, 5408, 8666, 693, 1318, 264, 538, 707, 2571, 2675, 1901, 267, 543, 596, 3513, 4440, 17589, 513, 1390, 4308, 540, 9547, 689, 7446, 1063, 519, 1114, 4677, 6272, 547, 581, 2808, 563, 288, 12397, 1075, 18701, 540, 12567, 5071, 338, 585, 2659, 9941, 2675, 1901, 454, 268, 1703, 616, 267, 540, 1576, 267, 10448, 10651, 267, 799, 616, 900, 514, 1836, 4052, 269, 1809, 798, 711, 30391, 519, 12716, 1761, 540, 10448, 10651, 269, 4634, 569, 12630, 9343, 540, 21364, 5388, 267, 585, 3236, 267, 666, 581, 1360, 10694, 269, 595, 1075, 3784, 2371, 666, 581, 8036, 909, 513, 1726, 961, 529, 610, 936, 606, 818, 4011, 1175, 607, 1022, 824, 11903, 666, 563, 268, 6271, 4677, 1826, 602, 666, 6556, 12716, 607, 1134, 607, 11477, 1642, 2074, 568, 519, 10786, 4677, 269, 634, 24516, 4677, 267, 24886, 547, 519, 3750, 585, 1346, 945, 2972, 12166, 3270, 267, 568, 1419, 7768, 540, 11922, 563, 268, 595, 2714, 720, 10651, 3335, 7048, 8185, 593, 21064, 5810, 269, 5345, 25607, 540, 519, 2757, 2296, 24781, 540, 519, 27998, 267, 32119, 10651, 2099, 519, 13016, 1374, 2511, 563, 268, 634, 6101, 5251, 1374, 2511, 814, 12926, 16941, 8185, 593, 19211, 17401, 6896, 883, 15949, 2471, 267, 8108, 12166, 3270, 563, 268, 4826, 10651, 723, 2907, 1044, 5018, 269, 4033, 4677, 6163, 602, 7048, 8185, 593, 513, 2067, 3693, 824, 982, 2371, 616, 519, 4224, 4677, 543, 620, 18090, 4677, 267, 519, 8545, 1373, 513, 4224, 4677, 12630, 609, 620, 18090, 2371, 563, 268, 5375, 619, 723, 1831, 5051, 5461, 538, 5545, 10651, 269, 1401, 5328, 5545, 10651, 7048, 8185, 593, 1312, 7725, 543, 1216, 267, 607, 1134, 607, 11308, 2609, 563, 763, 14362, 2334, 7201, 12340, 12567, 5071, 338, 454, 32381, 540, 4677, 2511, 267, 1577, 3054, 581, 11461, 676, 519, 3741, 602, 896, 12340, 782, 4677, 6272, 269, 898, 568, 2653, 547, 26777, 835, 610, 811, 540, 891, 3741, 267, 1287, 1413, 693, 824, 1004, 781, 4677, 6272, 543, 4898, 267, 834, 3963, 798, 891, 4677, 6163, 1413, 865, 1454, 1732, 982, 9553, 267, 1256, 1498, 2147, 2371, 723, 1044, 1031, 8119, 15020, 2693, 267, 519, 2626, 547, 713, 2243, 6013, 538, 15984, 547, 519, 3741, 540, 1374, 269, 1280, 513, 2407, 2126, 540, 5251, 610, 4677, 1374, 3741, 267, 5225, 5077, 1250, 2376, 593, 5251, 1374, 3069, 585, 14987, 269, 634, 2609, 602, 896, 12340, 519, 3741, 540, 4677, 6272, 267, 799, 616, 3989, 538, 602, 2376, 267, 616, 607, 5205, 912, 11045, 29736, 609, 606, 1620, 540, 891, 2609, 267, 835, 568, 1287, 2111, 547, 8415, 519, 3741, 1031, 538, 4677, 6272, 630, 10193, 6045, 538, 1250, 2376, 593, 5251, 1374, 3069, 585, 14987, 1070, 799, 1331, 281, 0, 9213, 649, 2461, 4152, 513, 1007, 2856, 267, 543, 649, 8910, 2648, 707, 4555, 563, 10303, 634, 1715, 3840, 8648, 2934, 8748, 19180, 1169, 1554, 267, 543, 1317, 649, 3494, 602, 1373, 2148, 622, 1797, 1373, 2111, 547, 1224, 2592, 607, 1134, 607, 1257, 267, 649, 2461, 6236, 2870, 513, 5564, 12855, 540, 519, 10432, 4183, 563, 1607, 4183, 1131, 5031, 8648, 11147, 267, 7317, 12449, 610, 3381, 543, 581, 4553, 676, 513, 2110, 1592, 540, 1644, 2055, 543, 2238, 563, 9213, 779, 1383, 568, 689, 30960, 681, 25534, 779, 2376, 968, 6524, 631, 15967, 645, 1815, 877, 631, 15967, 2223, 827, 519, 13836, 6345, 631, 15967, 10548, 790, 345, 779, 1164, 1153, 1296, 269, 634, 1650, 2882, 513, 13472, 1397, 540, 476, 1321, 968, 6533, 543, 1631, 892, 6337, 540, 10548, 790, 345, 602, 649, 2219, 1053, 1131, 2972, 3168, 693, 543, 1210, 607, 6667, 585, 741, 1378, 3785, 563, 763, 1053, 538, 519, 1715, 14948, 23408, 5049, 609, 7247, 649, 12840, 585, 713, 4183, 1376, 1142, 1554, 2542, 543, 1603, 827, 634, 8648, 269, 1677, 4266, 267, 789, 723, 2854, 811, 982, 476, 6344, 3594, 1142, 1759, 593, 8648, 4930, 543, 723, 267, 741, 3610, 2161, 267, 3254, 968, 770, 15929, 12374, 1848, 0, 3721, 1156, 8316, 6362, 630, 3707, 273, 910, 12467, 3721, 1156, 8316, 6362, 8057, 909, 5087, 540, 5507, 269, 1261, 4597, 539, 538, 6128, 267, 2705, 693, 1010, 4651, 781, 7662, 646, 6594, 7998, 865, 646, 1223, 7390, 10228, 269, 2991, 2921, 13675, 11400, 585, 10228, 267, 646, 729, 13752, 513, 14172, 269, 2755, 538, 1153, 8316, 6362, 7463, 538, 6323, 269, 2991, 8391, 1010, 4110, 267, 8316, 6362, 4682, 547, 11062, 547, 1353, 25536, 543, 14421, 1108, 563, 4263, 519, 1439, 540, 1010, 1101, 19496, 693, 11062, 630, 13731, 5733, 476, 3422, 273, 264, 646, 729, 32509, 543, 8995, 609, 7200, 2983, 327, 3419, 338, 2068, 269, 634, 2068, 1131, 5555, 22009, 543, 26343, 1864, 547, 513, 30523, 563, 26796, 12032, 540, 1010, 4387, 622, 538, 476, 3422, 277, 267, 8316, 6362, 729, 13752, 513, 31776, 693, 22167, 6807, 543, 595, 2967, 639, 5441, 267, 11062, 269, 4595, 476, 3192, 280, 8316, 6362, 814, 4371, 519, 12359, 22057, 2024, 11208, 538, 6128, 267, 519, 1482, 11381, 602, 729, 4371, 1614, 4627, 1296, 4505, 676, 11184, 21469, 13053, 563, 1103, 476, 2735, 276, 8316, 6362, 2919, 16415, 543, 3592, 5747, 269, 589, 1272, 9494, 30439, 30315, 729, 5340, 267, 855, 8507, 538, 8316, 6362, 9561, 1010, 2702, 547, 3717, 269, 1261, 1631, 31825, 1210, 513, 2780, 1062, 602, 12958, 606, 5907, 5639, 563, 295, 1177, 6362, 781, 7418, 723, 1044, 538, 519, 1858, 540, 2489, 25536, 267, 8904, 267, 543, 7061, 3069, 267, 609, 8561, 538, 519, 1858, 540, 3109, 9475, 269, 3571, 1382, 6212, 593, 519, 3801, 676, 3744, 547, 26595, 7061, 3069, 543, 8904, 998, 2489, 25536, 883, 513, 20902, 3069, 602, 1131, 12732, 689, 519, 10545, 1016, 30061, 5536, 547, 519, 1163, 534, 572, 540, 519, 17807, 563, 306, 10235, 328, 623, 269, 31704, 1961, 341, 630, 5002, 277, 910, 476, 3422, 277, 994, 306, 10235, 328, 623, 269, 31704, 1961, 341, 729, 606, 7098, 517, 27658, 11653, 543, 1071, 1922, 10133, 540, 519, 18293, 4224, 4479, 3919, 269, 769, 519, 476, 4350, 271, 781, 267, 31704, 1961, 341, 2966, 6576, 781, 1101, 15177, 4412, 8215, 8484, 269, 898, 729, 31704, 1961, 341, 781, 681, 268, 278, 954, 11666, 1581, 3440, 2065, 23828, 630, 2975, 13696, 264, 602, 9250, 590, 1584, 23364, 476, 272, 593, 5239, 476, 275, 267, 476, 4198, 278, 269, 4438, 519, 2038, 476, 3422, 271, 781, 31704, 1961, 341, 10981, 321, 1221, 547, 6494, 513, 8168, 5430, 3000, 2246, 547, 519, 9855, 269, 10251, 267, 519, 6739, 2229, 666, 576, 1194, 31704, 1961, 341, 781, 1788, 267, 543, 1010, 715, 268, 272, 10131, 6174, 2760, 1500, 513, 3811, 8184, 563, 295, 1069, 2335, 744, 828, 628, 630, 6245, 275, 910, 476, 2735, 280, 994, 24078, 513, 4436, 15177, 22082, 945, 729, 1634, 607, 835, 540, 519, 15713, 18971, 540, 4224, 4479, 543, 2413, 16106, 923, 563, 1103, 476, 4572, 274, 267, 744, 828, 628, 3370, 519, 562, 27197, 1079, 2985, 834, 763, 9412, 564, 883, 4643, 8767, 6611, 257, 799, 729, 4553, 676, 513, 3476, 4528, 538, 476, 4572, 280, 269, 901, 6905, 4528, 729, 18368, 9833, 607, 513, 960, 540, 16854, 3621, 2956, 563, 1103, 744, 828, 628, 781, 3803, 3184, 540, 834, 763, 9412, 564, 883, 4643, 8767, 1975, 320, 525, 257, 646, 19424, 539, 602, 267, 834, 1492, 31244, 1862, 4754, 581, 3710, 865, 1379, 2685, 602, 789, 1223, 581, 5827, 540, 8876, 513, 812, 620, 21510, 1701, 4935, 267, 538, 476, 4572, 274, 744, 828, 628, 2968, 519, 1101, 10196, 547, 6961, 602, 31244, 1223, 2322, 513, 812, 883, 2230, 563, 290, 569, 1372, 570, 4861, 2795, 630, 5002, 277, 268, 1960, 278, 994, 290, 569, 1372, 570, 4861, 2795, 729, 606, 1977, 31485, 945, 4362, 519, 4541, 32624, 269, 769, 476, 4572, 280, 267, 570, 4861, 2795, 729, 21534, 607, 513, 21738, 31485, 547, 6443, 538, 519, 3406, 585, 513, 834, 23945, 564, 2473, 257, 3564, 3026, 31337, 269, 1261, 1500, 1158, 3377, 593, 4728, 476, 1724, 267, 476, 4350, 271, 950, 1010, 6602, 540, 519, 27630, 4541, 267, 32624, 729, 9672, 563, 7021, 519, 1985, 24369, 1296, 646, 4362, 3670, 5182, 13421, 267, 1079, 635, 1115, 267, 7366, 540, 30563, 267, 1896, 18797, 13421, 540, 15270, 267, 543, 835, 2706, 12641, 13831, 269, 1261, 729, 849, 15747, 538, 8159, 519, 642, 29448, 2470, 540, 18347, 781, 4279, 4414, 20128, 267, 519, 10047, 1974, 540, 22358, 593, 621, 781, 7852, 543, 538, 519, 1646, 540, 513, 1007, 26278, 4480, 547, 6895, 1507, 3047, 15408, 269, 0, 9802, 334, 18669, 2090, 875, 1454, 2259, 2306, 3501, 950, 7900, 3935, 8113, 641, 625, 454, 288, 3935, 22000, 568, 606, 17170, 5650, 585, 16326, 2042, 538, 519, 3935, 543, 6439, 636, 269, 24930, 666, 1419, 13209, 16063, 2152, 543, 1256, 6952, 519, 9963, 4191, 540, 897, 28030, 2860, 269, 17828, 532, 519, 1983, 2838, 585, 713, 10347, 5650, 3217, 2259, 269, 1809, 1175, 875, 1454, 2259, 2306, 3501, 888, 6546, 729, 519, 2243, 7917, 661, 269, 20767, 331, 871, 267, 631, 6185, 1421, 543, 1010, 25832, 18669, 1382, 2319, 1305, 856, 547, 2626, 538, 741, 5063, 6192, 1353, 540, 897, 28030, 5773, 269, 4256, 4681, 2303, 1454, 811, 2259, 568, 2877, 982, 12884, 10938, 1670, 3318, 7239, 4867, 4363, 563, 257, 14483, 7840, 616, 602, 476, 9610, 5773, 1058, 581, 2944, 1354, 12394, 547, 2708, 28671, 267, 855, 609, 1100, 1305, 7840, 593, 875, 547, 2708, 621, 2437, 3081, 3220, 269, 20767, 331, 871, 269, 834, 5978, 4681, 2303, 602, 621, 3217, 606, 3328, 540, 476, 22550, 5773, 585, 513, 12884, 10938, 1108, 8284, 547, 3914, 8766, 5042, 543, 5179, 28671, 4799, 763, 1353, 12290, 519, 2773, 540, 476, 6078, 25832, 18669, 30887, 10938, 1108, 26665, 3298, 945, 5340, 811, 982, 476, 277, 267, 7785, 3935, 8113, 641, 625, 538, 29157, 3122, 267, 3687, 333, 1421, 689, 5147, 476, 1220, 278, 998, 4873, 476, 1001, 271, 269, 634, 1382, 2319, 1031, 513, 24019, 4152, 1505, 1572, 519, 25832, 16690, 22000, 10341, 10495, 15484, 630, 300, 5425, 2969, 1916, 10454, 631, 5425, 2969, 568, 519, 1101, 971, 1907, 585, 3246, 2143, 4879, 540, 519, 4295, 5042, 543, 5179, 1983, 540, 27466, 525, 538, 713, 5650, 2437, 3220, 269, 20767, 331, 871, 3081, 269, 834, 2026, 513, 1267, 540, 938, 946, 540, 713, 1449, 267, 649, 723, 1044, 2111, 547, 5581, 1565, 14258, 543, 8766, 28671, 14541, 12201, 547, 2697, 950, 27466, 525, 616, 4712, 547, 7500, 10446, 4799, 763, 631, 5425, 2969, 2708, 525, 2127, 971, 607, 703, 889, 566, 3928, 543, 12557, 267, 875, 9108, 543, 1928, 8393, 9439, 1685, 519, 5650, 543, 875, 5693, 789, 5431, 1761, 3461, 2152, 563, 763, 1353, 781, 4681, 949, 723, 1880, 4644, 585, 32258, 824, 982, 12884, 10938, 1108, 269, 2755, 12884, 10938, 1108, 8593, 3298, 949, 1685, 1134, 811, 982, 476, 6110, 3935, 8113, 641, 625, 1282, 741, 2866, 267, 12665, 538, 824, 2127, 267, 971, 607, 6391, 610, 1920, 2259, 267, 949, 1685, 3648, 7864, 5773, 1282, 741, 2866, 563, 2026, 513, 1267, 540, 713, 1353, 267, 543, 1866, 267, 519, 1977, 5980, 585, 30887, 14528, 7736, 22000, 568, 556, 8586, 922, 3935, 22000, 2866, 4808, 547, 2992, 519, 991, 585, 811, 5773, 543, 11168, 519, 946, 540, 6662, 267, 22905, 4255, 538, 12570, 519, 28671, 540, 27466, 525, 269, 11086, 267, 891, 2242, 616, 1434, 585, 2550, 269, 834, 1103, 1931, 547, 2327, 3461, 3106, 543, 1683, 519, 5207, 2298, 540, 1416, 267, 782, 13500, 5275, 547, 581, 29341, 538, 3935, 22000, 910, 7488, 540, 741, 20614, 910, 1058, 581, 4371, 547, 513, 1455, 3044, 540, 28671, 14573, 2437, 3220, 269, 20767, 331, 871, 3081, 563, 7804, 269, 20767, 331, 871, 786, 581, 4687, 519, 4681, 540, 713, 1353, 693, 519, 476, 1001, 272, 6226, 24304, 8376, 10432, 10554 ]

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

[ 883, 1455, 5624, 269, 594, 6557, 513, 10178, 540, 1007, 4683, 1143, 267, 693, 2547, 607, 621, 568, 27985, 9788, 856, 282, 2705, 267, 594, 729, 8049, 2436, 602, 3069, 1223, 581, 606, 2500, 3391, 547, 513, 1483, 1646, 538, 513, 1360, 1286, 20218, 1747, 899, 519, 23885, 1558, 549, 1858, 563, 29557, 2023, 22193, 729, 2966, 676, 667, 303, 313, 267, 18188, 676, 1656, 637, 13660, 1415, 543, 10906, 1773, 831, 19053, 344, 828, 330, 538, 476, 1960, 274, 543, 814, 2094, 1287, 7444, 2919, 269, 1703, 616, 1079, 1292, 3344, 540, 519, 8378, 547, 1832, 538, 2247, 269, 3689, 267, 519, 1374, 540, 519, 8378, 568, 538, 513, 1007, 4683, 626, 2511, 282, 713, 1797, 602, 8075, 723, 1507, 18126, 267, 5266, 1164, 5860, 630, 1721, 519, 1016, 31755, 264, 543, 513, 3982, 2146, 4099, 630, 5976, 8637, 1040, 1717, 267, 621, 568, 849, 513, 1360, 14931, 2146, 282, 519, 17743, 902, 616, 782, 2966, 538, 513, 1978, 2511, 543, 1169, 2460, 540, 1753, 543, 13452, 1374, 568, 14553, 14931, 676, 513, 26315, 630, 296, 4363, 3168, 693, 519, 2407, 26315, 2139, 693, 713, 3135, 1107, 922, 23506, 568, 513, 3787, 1376, 1782, 1040, 1280, 3236, 267, 1169, 1753, 1374, 1590, 581, 9516, 676, 513, 4604, 547, 10018, 602, 621, 786, 3514, 14429, 1947, 1369, 519, 2146, 269, 1358, 4782, 31403, 2511, 5321, 267, 865, 596, 786, 1294, 606, 11606, 540, 891, 538, 5664, 2023, 22193, 269, 1403, 596, 1810, 1406, 917, 4376, 827, 1007, 4683, 1143, 267, 594, 4363, 3168, 693, 519, 28957, 2376, 269, 1280, 1631, 267, 594, 6557, 1175, 2469, 547, 1376, 938, 3460, 998, 5664, 2023, 22193, 2507, 10756, 2026, 835, 19674, 689, 519, 2470, 8190, 11105, 547, 631, 1342, 331, 2023, 22193, 267, 596, 616, 5701, 547, 606, 4277, 8289, 269, 901, 851, 540, 519, 5664, 2023, 22193, 630, 1492, 5087, 3887, 770, 2427, 264, 568, 2407, 540, 1007, 543, 1804, 31403, 5321, 269, 2334, 729, 1018, 24330, 803, 519, 1034, 282, 891, 616, 1360, 7199, 5321, 267, 543, 602, 561, 1742, 513, 1978, 2011, 547, 519, 1995, 269, 898, 568, 586, 6269, 773, 267, 10288, 267, 543, 2973, 630, 1729, 519, 1448, 540, 3592, 1373, 25062, 5148, 875, 596, 4431, 547, 1346, 1614, 21371, 786, 2693, 3313, 875, 596, 786, 1745, 827, 5664, 2023, 22193, 563, 5472, 540, 519, 1876, 985, 616, 9985, 812, 545, 3293, 630, 3467, 865, 982, 594, 723, 1169, 2731, 2938, 264, 543, 1169, 2777, 5654, 547, 581, 538, 3501, 2783, 269, 634, 2370, 4054, 543, 26965, 3100, 547, 581, 5402, 5116, 538, 513, 1360, 20982, 1259, 282, 543, 538, 1249, 267, 741, 13307, 568, 3989, 538, 519, 2679, 4566, 269, 2353, 540, 713, 814, 1044, 9516, 676, 519, 2146, 1374, 4604, 282, 594, 4769, 1406, 899, 621, 282, 16973, 609, 513, 1390, 4308, 540, 6988, 543, 2470, 1118, 803, 1745, 899, 972, 568, 1945, 9800, 972, 269, 14066, 267, 3638, 1016, 31755, 1118, 803, 1745, 513, 3787, 11552, 6470, 282, 604, 594, 2965, 5030, 538, 971, 513, 1747, 267, 594, 1522, 1376, 6704, 513, 2603, 811, 269, 1717, 267, 649, 1058, 3314, 602, 713, 568, 2484, 18960, 982, 1082, 540, 519, 16973, 602, 1522, 3100, 811, 7874, 610, 2067, 269, 634, 6988, 540, 2025, 16973, 3217, 942, 267, 865, 5310, 5664, 2023, 22193, 786, 1831, 1447, 25062, 607, 621, 6502, 269, 1717, 267, 594, 4898, 952, 519, 3573, 8060, 540, 5656, 543, 30120, 1131, 1450, 585, 713, 1646, 269, 8307, 942, 786, 2995, 267, 594, 15475, 563, 6781, 913, 568, 519, 536, 537, 4582, 731, 282, 5310, 950, 519, 4054, 1332, 909, 621, 786, 1711, 513, 8799, 1747, 547, 581, 855, 1318, 1631, 621, 1175, 2306, 585, 513, 1804, 1163, 534, 572, 602, 568, 20704, 540, 1022, 1272, 269, 898, 1281, 1599, 607, 606, 16315, 540, 519, 1292, 4155, 282, 621, 1500, 621, 2653, 585, 721, 547, 1265, 519, 2619, 547, 519, 2146, 4099, 855, 4769, 1406, 798, 1454, 3116, 269, 2290, 3364, 602, 3323, 547, 21898, 803, 729, 519, 3668, 540, 1004, 856, 543, 827, 282, 649, 1185, 678, 5200, 998, 513, 1434, 6712, 540, 519, 1747, 1510, 7487, 513, 9997, 3544, 540, 741, 6517, 269, 901, 3003, 4070, 630, 327, 27941, 5860, 267, 609, 4395, 11188, 2583, 1360, 2673, 547, 519, 2427, 19769, 264, 568, 9277, 547, 1118, 811, 1004, 3802, 1472, 519, 2146, 855, 593, 971, 513, 4190, 10732, 12784, 267, 519, 10754, 941, 7477, 656, 269, 2334, 2306, 621, 3100, 899, 1945, 568, 1360, 4636, 609, 519, 8378, 563, 763, 6251, 835, 4991, 547, 519, 2146, 4099, 267, 519, 2362, 519, 5860, 3587, 269, 3371, 596, 1294, 5918, 14658, 525, 630, 296, 1589, 5148, 594, 2965, 1589, 891, 616, 7168, 10694, 543, 594, 899, 519, 2856, 540, 2810, 5860, 538, 713, 1259, 269, 1717, 267, 891, 616, 5393, 7199, 269, 594, 5063, 1336, 606, 740, 585, 835, 540, 891, 7873, 657, 593, 519, 5664, 2023, 22193, 8378, 7681, 1357, 3135, 543, 621, 729, 11540, 585, 1269, 4391, 275, 330, 269, 634, 1966, 568, 519, 1826, 540, 598, 4777, 713, 568, 282, 594, 3580, 2022, 519, 3877, 2630, 912, 6924, 278, 275, 7671, 32008, 19159, 589, 557, 454, 3412, 701, 764, 2406, 9738, 5664, 2023, 22193, 598, 4777, 6772, 8504, 11432, 269, 27202, 10877, 1115, 1318, 3544, 519, 4395, 7450, 256, 29740, 476, 278, 1296, 3516, 267, 621, 1869, 5654, 6216, 1007, 256, 717, 712, 5471, 10051, 530, 270, 7815, 787, 19970, 1115, 267, 16243, 14233, 267, 4396, 2627, 27669, 269, 7046, 6989, 1544, 530, 270, 273, 521, 3660, 3595, 2897, 267, 25308, 19683, 267, 16013, 1299, 9885, 267, 1299, 7923, 5496, 11188, 577, 269, 1975, 20160, 4487, 530, 270, 3369, 20071, 23051, 1299, 15792, 5008, 1115, 2429, 269, 570, 976, 540, 3606, 4859, 269, 476, 274, 6113, 23103, 2115, 24383, 585, 3656, 19838, 816, 269, 12384, 22089, 3144, 689, 5664, 2023, 8178, 528, 269, 13574, 518, 568, 13931, 1483, 30004, 269, 7046, 9530, 904, 476, 272, 268, 274, 563, 3383, 267, 519, 5321, 543, 7873, 657, 1373, 4421, 538, 5664, 2023, 22193, 616, 585, 519, 3638, 269, 901, 568, 9490, 547, 803, 1317, 713, 2244, 1058, 581, 10464, 282, 835, 1058, 581, 2111, 547, 1205, 513, 1360, 10097, 1753, 782, 519, 1259, 856, 538, 5664, 2023, 269, 1717, 519, 5777, 585, 7873, 657, 538, 713, 8378, 15180, 1346, 538, 25708, 23885, 267, 3274, 1317, 789, 616, 9112, 538, 513, 29413, 1259, 269, 2290, 1058, 3314, 602, 513, 3844, 4557, 656, 540, 1007, 4683, 1143, 568, 519, 991, 547, 1628, 2347, 2950, 282, 596, 991, 547, 723, 4025, 547, 2661, 585, 1312, 519, 1268, 945, 22595, 519, 2146, 4558, 543, 519, 1268, 945, 1568, 3297, 519, 4831, 563, 1607, 729, 519, 5207, 5860, 1858, 602, 594, 1223, 1265, 538, 519, 5664, 2023, 22193, 1646, 282, 789, 1413, 547, 581, 811, 7873, 657, 267, 543, 594, 993, 2386, 789, 616, 4190, 543, 7199, 269, 594, 1589, 713, 9000, 540, 16434, 8027, 568, 513, 5458, 1966, 585, 519, 2146, 282, 538, 513, 2631, 621, 1797, 602, 713, 30834, 1707, 568, 711, 513, 2146, 693, 782, 269, 594, 786, 1205, 547, 519, 968, 10919, 640, 4099, 892, 538, 513, 4090, 267, 855, 594, 666, 840, 655, 339, 713, 676, 11287, 602, 1034, 540, 1346, 2713, 1934, 1590, 5397, 547, 960, 1169, 1554, 269, 634, 1482, 4422, 585, 1346, 2324, 538, 519, 4213, 7404, 282, 519, 5777, 1832, 1346, 945, 960, 693, 519, 7404, 17365, 4558, 610, 6995, 6300, 689, 957, 592, 569, 2713, 2282, 741, 9036, 269, 634, 4087, 568, 849, 14605, 7471, 609, 519, 2527, 18302, 1062, 540, 519, 23885, 1558, 549, 1858, 282, 713, 1797, 602, 5664, 2023, 22193, 568, 1175, 607, 1286, 1298, 878, 607, 1022, 824, 28180, 1858, 269, 1656, 713, 16126, 593, 519, 1286, 568, 835, 540, 519, 1919, 1007, 4683, 1143, 568, 5921, 547, 16185, 563, 2080, 568, 519, 968, 10919, 640, 4099, 31865, 519, 2706, 21466, 568, 1055, 547, 519, 2451, 630, 719, 2515, 540, 519, 4605, 5148, 621, 568, 513, 31403, 2511, 14816, 32041, 267, 594, 15475, 269, 634, 2856, 540, 2348, 513, 10918, 4099, 2673, 547, 3283, 1753, 568, 602, 596, 1522, 3802, 972, 269, 594, 3893, 519, 12705, 602, 1034, 1004, 3576, 741, 1286, 267, 1256, 952, 789, 941, 1175, 2469, 547, 1205, 513, 7484, 540, 6995, 630, 663, 3314, 713, 729, 513, 2282, 3501, 1554, 547, 581, 3544, 1916, 3383, 267, 602, 568, 519, 1439, 540, 519, 2370, 4663, 269, 594, 1589, 631, 1342, 331, 2023, 22193, 14543, 7168, 3765, 518, 2406, 693, 1373, 513, 1434, 1383, 540, 513, 1134, 8647, 2146, 269, 594, 15475, 519, 6189, 568, 811, 4277, 982, 1034, 30834, 2888, 267, 855, 621, 19330, 519, 1482, 1272, 602, 3020, 4683, 1143, 2488, 269, 594, 1131, 581, 1360, 954, 23264, 547, 1294, 891, 3741, 2919, 538, 513, 851, 540, 4884, 6251, 547, 1141, 1004, 960, 630, 663, 609, 1732, 2527, 18302, 4296, 5148, 855, 519, 1699, 1383, 267, 4092, 865, 2484, 689, 519, 683, 806, 885, 540, 1272, 267, 568, 3592, 30758, 547, 3111, 269, 769, 519, 1439, 5664, 2023, 22193, 5433, 3592, 899, 513, 1286, 545, 1155, 540, 1007, 4683, 1143, 267, 2864, 982, 519, 1483, 4308, 269, 594, 3580, 6157, 2132, 547, 713, 3643, 538, 930, 2663, 9708, 282, 1318, 1631, 594, 723, 547, 979, 798, 1945, 3730, 585, 513, 1689, 563, 296, 4076, 1175, 8737, 2542, 513, 1433, 827, 8733, 2749, 2679, 676, 9400, 19193, 269, 769, 8278, 665, 885, 267, 19193, 23083, 602, 519, 1699, 2409, 540, 2749, 4058, 267, 799, 12167, 2582, 946, 1990, 11238, 543, 1390, 9883, 267, 616, 3520, 1026, 569, 16283, 269, 634, 4872, 1034, 540, 721, 2661, 538, 616, 1990, 19861, 971, 602, 1004, 2661, 2484, 689, 1141, 789, 960, 543, 6300, 282, 1142, 1480, 2534, 814, 922, 1378, 1858, 538, 519, 2413, 2749, 282, 713, 2306, 1286, 2951, 519, 1034, 4052, 1505, 269, 1703, 616, 540, 1576, 930, 17756, 630, 604, 835, 2729, 538, 24607, 267, 585, 1383, 267, 621, 1131, 581, 3833, 2653, 547, 2760, 4734, 519, 6532, 264, 855, 585, 519, 1034, 851, 267, 713, 568, 606, 4977, 2203, 540, 519, 28180, 2749, 563, 2005, 3085, 1406, 1491, 1932, 1454, 4674, 547, 8275, 519, 1966, 609, 519, 2582, 946, 1990, 11238, 269, 898, 568, 14831, 3585, 28537, 269, 4107, 1004, 2951, 609, 741, 1286, 1169, 1554, 547, 543, 689, 960, 282, 789, 616, 711, 1210, 519, 2230, 602, 519, 18914, 2488, 282, 538, 1931, 547, 3274, 1847, 2933, 267, 789, 723, 547, 3142, 2059, 1945, 602, 22179, 513, 9522, 610, 865, 269, 4208, 798, 649, 3858, 547, 2661, 609, 971, 606, 11460, 286, 4270, 267, 1016, 31755, 9153, 547, 581, 16990, 267, 585, 835, 282, 1310, 782, 267, 4872, 666, 581, 2864, 17173, 4025, 547, 2661, 269, 1656, 621, 4667, 899, 513, 1434, 2856, 547, 723, 513, 4729, 540, 2244, 547, 13951, 630, 2288, 621, 4667, 899, 713, 2244, 568, 865, 1419, 24906, 676, 9544, 5458, 8778, 338, 540, 6371, 2507, 12175, 3281, 895, 713, 609, 519, 11606, 540, 10464, 1648, 538, 519, 1106, 19386, 543, 596, 1205, 519, 1699, 7678, 585, 10340, 547, 30832, 331, 936, 782, 519, 5251, 269, 32010, 547, 2484, 1055, 4025, 568, 14949, 982, 9140, 2244, 538, 519, 26130, 543, 26776, 2749, 267, 865, 621, 568, 2182, 547, 1294, 606, 4661, 1996, 971, 513, 30832, 331, 563, 8802, 3563, 4667, 547, 1589, 602, 519, 1292, 1966, 609, 938, 1699, 11460, 568, 519, 1259, 621, 21219, 2729, 267, 1312, 3662, 543, 1480, 269, 898, 10969, 919, 8134, 607, 1134, 607, 5932, 513, 5906, 543, 10795, 1604, 538, 799, 5230, 3615, 630, 2246, 558, 24213, 264, 627, 11170, 998, 519, 2011, 693, 1390, 11250, 269, 4658, 849, 1831, 14156, 9674, 689, 1142, 824, 1317, 540, 741, 1390, 2168, 9883, 689, 835, 1776, 269, 594, 1589, 891, 616, 782, 1434, 4128, 585, 554, 908, 6517, 630, 2288, 594, 6557, 711, 2386, 519, 2063, 835, 568, 865, 3020, 267, 2016, 875, 1454, 1715, 3840, 619, 16339, 1047, 1142, 824, 264, 855, 519, 1034, 10296, 6161, 23608, 689, 519, 19386, 13251, 30832, 331, 568, 519, 1799, 29561, 540, 2048, 701, 752, 268, 11798, 685, 4586, 3725, 2286, 2048, 701, 752, 268, 11798, 685, 1797, 602, 649, 723, 6603, 519, 1448, 1141, 19386, 2504, 786, 2253, 547, 7771, 269, 901, 568, 3710, 883, 519, 1523, 540, 513, 13113, 4199, 899, 8093, 10173, 282, 649, 786, 14693, 2196, 856, 269, 901 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17396, 11984, 723, 8959, 269, 901, 12031, 6663, 547, 1683, 519, 5943, 585, 513, 3070, 269, 634, 2596, 1175, 881, 2218, 1505, 18611, 2429, 7740, 593, 519, 2956, 547, 5126, 540, 14123, 543, 711, 14944, 1456, 1582, 9113, 1051, 269, 3245, 713, 4358, 1448, 267, 594, 1397, 602, 16462, 547, 1020, 267, 3635, 267, 543, 2087, 938, 5759, 568, 513, 7587, 5737, 4183, 540, 1582, 9113, 1051, 971, 602, 1004, 1590, 581, 2016, 519, 2230, 547, 4497, 538, 2238, 602, 789, 1265, 16180, 269, 594, 2417, 4434, 602, 649, 28761, 1265, 16180, 1346, 2238, 602, 1683, 513, 5078, 4161, 269, 3245, 713, 621, 5205, 602, 519, 1533, 814, 513, 8903, 1719, 547, 3895, 12947, 13895, 26656, 960, 2238, 865, 602, 972, 616, 2312, 10092, 17929, 4961, 666, 11654, 4690, 538, 2081, 17501, 547, 741, 5759, 269, 1452, 9270, 267, 4628, 9787, 539, 267, 3761, 519, 4493, 585, 513, 25992, 2272, 540, 4023, 4316, 267, 835, 602, 14405, 519, 2379, 4184, 539, 11984, 865, 8179, 1310, 269, 634, 4030, 6591, 689, 1210, 1582, 9113, 1051, 607, 519, 5817, 24117, 616, 1287, 3254, 547, 849, 1683, 6086, 633, 5583, 593, 1079, 3606, 2152, 602, 991, 5249, 856, 585, 513, 2347, 3069, 540, 3160, 4316, 269, 3689, 267, 594, 2232, 519, 2243, 540, 1018, 4170, 938, 2272, 791, 4680, 593, 2069, 269, 9737, 1346, 945, 3409, 5126, 3340, 8806, 606, 7850, 2069, 543, 1346, 945, 3409, 621, 3079, 3340, 606, 3160, 835, 267, 594, 8044, 621, 3927, 3340, 1312, 269, 769, 1840, 267, 1996, 519, 3409, 602, 519, 2407, 6388, 540, 3160, 4316, 7526, 609, 519, 2924, 540, 3237, 547, 6318, 741, 1453, 607, 789, 1294, 3514, 267, 594, 1397, 602, 713, 21677, 666, 7361, 581, 14284, 609, 938, 21950, 1620, 540, 4023, 4316, 538, 1688, 563, 9617, 823, 282, 4065, 282, 7731, 454, 300, 14525, 267, 9400, 5261, 454, 307, 11336, 267, 8210, 514, 282, 853, 25973, 517, 267, 22956, 10557, 454, 4942, 6185, 269, 540, 13898, 454, 2710, 2758, 540, 13898, 454, 323, 1170, 10488, 610, 5098, 0, 10932, 9060, 1007, 2081, 547, 4339, 519, 23776, 6433, 454, 10490, 8434, 5441, 540, 11671, 17595, 2684, 29108, 1108, 264, 769, 519, 2475, 4805, 267, 811, 982, 476, 273, 2929, 1004, 6560, 609, 23776, 946, 4713, 269, 744, 7032, 6950, 267, 1419, 11311, 607, 1928, 6527, 267, 723, 1631, 1831, 519, 2197, 781, 3056, 2014, 540, 3075, 30072, 269, 1809, 3744, 616, 7114, 2081, 547, 948, 8396, 519, 15435, 267, 799, 1331, 3478, 1004, 2126, 5488, 267, 3384, 10930, 17414, 6950, 267, 543, 4543, 2550, 3442, 3617, 2126, 269, 589, 1297, 540, 2487, 23484, 616, 1373, 4843, 693, 519, 14232, 10554, 540, 519, 1977, 5441, 540, 11671, 17595, 2684, 29108, 1108, 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 ]

[ 14067, 1846, 29254, 2187, 825, 5727, 11514, 680, 904, 7194, 593, 21891, 327, 732, 3755, 27969, 692, 825, 1820, 28361, 333, 15612, 908, 14871, 853, 1846, 1862, 315, 333, 5073, 825, 1376, 22710, 815, 942, 28333, 10797, 825, 1948, 1293, 1297, 540, 15143, 829, 3593, 1826, 454, 825, 3593, 25292, 815, 17093, 9131, 27165, 7392, 262, 4940, 7407, 18045, 338, 10797, 825, 1948, 5173, 1611, 7552, 8653, 829, 2085, 1895, 538, 554, 327, 281, 7825, 281, 1087, 3898, 630, 339, 574, 539, 12265, 994, 825, 1285, 326, 4671, 8692, 318, 12528, 25292, 815, 630, 4206, 9131, 307, 8692, 30991, 262, 4940, 16766, 2421, 29254, 9131, 27165, 7392, 262, 7481, 14030, 17264, 1547, 11743, 4590, 14030, 17264, 1547, 1952, 569, 9638, 323, 30419, 4671, 574, 539, 12265, 267, 1770, 8782, 306, 5073, 14030, 17264, 1547, 19049, 269, 1037, 6600, 516, 336, 8782, 306, 10807, 2020, 825, 1948, 1628, 513, 4266, 18134, 540, 3593, 1826, 28135, 454, 825, 3593, 25292, 14067, 1846, 815, 27835, 15575, 9166, 3593, 25292, 2676, 4449, 11434, 1412, 13510, 326, 25676, 30991, 9166, 1285, 326, 4671, 8692, 318, 12528, 25292, 8679, 825, 3593, 25292, 14067, 1846, 815, 19073, 6185, 1092, 20988, 263, 12528, 25292, 14067, 1846, 2020, 825, 1948, 4159, 12523, 540, 3593, 2010, 543, 3328, 7552, 8653, 829, 3593, 1826, 454, 825, 1820, 3488, 10831, 540, 15143, 829, 3593, 1826, 543, 3328, 7552, 8653, 829, 1826, 5073, 825, 1820, 263, 12528, 25292, 14067, 1846, 2020, 825, 1948, 4159, 12523, 540, 4008, 1152, 952, 519, 6241, 6818, 454, 825, 952, 1412, 29638, 262, 711, 538, 17093, 31815, 8435, 912, 1038, 1820, 28361, 333, 2467, 568, 1100, 1344, 593, 4008, 26142, 333, 5073, 825, 3116, 912, 1038, 1820, 28361, 333, 10831, 540, 15143, 829, 4008, 5073, 1038, 1820, 29254, 9131, 29638, 262, 4940, 7407, 18045, 338, 19572, 1412, 315, 333, 17210, 825, 1948, 4159, 9998, 267, 1034, 2487, 267, 543, 1034, 1455, 1032, 540, 4332, 454, 825, 1948, 1152, 952, 519, 6241, 6818, 454, 825, 952, 1412, 289, 9500, 5729, 262, 711, 538, 17093, 31815, 8435, 912, 1038, 1820, 28361, 333, 2467, 568, 1100, 1344, 593, 4332, 1032, 26142, 333, 5073, 825, 3116, 912, 1038, 4332, 14729, 792, 815, 27835, 792, 31586, 9166, 703, 4433, 9285, 29254, 9131, 289, 9500, 5729, 262, 8079, 314, 271, 316, 13211, 4449, 8587, 1412, 2865, 2487, 9166, 703, 4433, 9285, 29254, 9131, 289, 9500, 5729, 262, 8079, 15631, 272, 316, 13211, 4449, 8587, 1412, 2865, 1455, 9166, 703, 29254, 9131, 289, 9500, 5729, 262, 4940, 7407, 18045, 338, 14061, 8161, 314, 271, 8079, 10926, 1038, 585, 1775, 267, 676, 538, 26246, 6357, 9500, 14729, 792, 269, 11161, 3890, 2187, 2018, 1820, 3488, 763, 15079, 4332, 1032, 281, 15079, 7055, 4449, 476, 1547, 8971, 17338, 6357, 9500, 14729, 792, 269, 12399, 3890, 25011, 328, 3910, 676, 11723, 1038, 1948, 5173, 2085, 14322, 519, 3755, 262, 4332, 17058, 723, 5293, 454, 1038, 17093, 9131, 21848, 11172, 815, 24303, 269, 852, 14061, 20204, 910, 17093, 9131, 289, 9500, 5729, 262, 6540, 1038, 1948, 1711, 25510, 543, 10297, 585, 476, 279, 2085, 2516, 454, 1038, 25510, 815, 1592, 18828, 30784, 1052, 263, 736, 267, 476, 10037, 267, 476, 1015, 4917, 1038, 25510, 27044, 263, 271, 267, 476, 271, 994, 1038, 25510, 6910, 263, 6344, 994, 1038, 10297, 815, 18358, 283, 736, 3299, 1412, 736, 268, 3066, 3299, 1412, 1789, 268, 4375, 3299, 1412, 2412, 268, 5392, 3299, 1412, 2004, 268, 6795, 3299, 1412, 2568, 268, 7597, 22779, 4449, 476, 1412, 3583, 268, 8064, 3299, 1412, 3199, 283, 8782, 6540, 1038, 1948, 1711, 2085, 1895, 6241, 454, 1038, 17093, 9131, 21848, 6828, 11172, 815, 19073, 6983, 583, 29254, 9131, 21848, 11172, 2676, 14030, 25510, 284, 321, 1231, 2676, 14030, 10297, 284, 18350, 1564, 2676, 14030, 1318, 25716, 2020, 1038, 1820, 28361, 333, 21848, 1895, 267, 2442, 1554, 543, 5662, 540, 7552, 267, 543, 1611, 7552, 8653, 14826, 17210, 1038, 2085, 14682, 4981, 18045, 815, 17093, 9131, 21848, 6828, 262, 4940, 7407, 18045, 338, 4433, 677, 25716, 994, 1038, 2085, 14682, 4981, 7272, 641, 318, 1485, 815, 630, 4206, 9131, 21196, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 14030, 8587, 1547, 12000, 263, 1326, 8548, 1712, 4917, 1038, 2085, 14682, 4981, 7272, 641, 20189, 712, 815, 630, 4206, 9131, 295, 712, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 4449, 13376, 1547, 12000, 263, 1326, 8548, 1712, 11723, 1038, 1948, 5173, 1611, 7552, 8653, 829, 2085, 1895, 538, 554, 327, 281, 7825, 281, 1087, 3898, 630, 339, 574, 539, 12265, 994, 1038, 2085, 14682, 4981, 318, 822, 326, 4671, 8692, 815, 630, 4206, 9131, 307, 8692, 30991, 262, 4940, 16766, 2421, 29254, 9131, 21848, 6828, 262, 7481, 14030, 4449, 1547, 11743, 4590, 14030, 4449, 1547, 1952, 569, 9638, 323, 30419, 4671, 574, 539, 12265, 267, 1770, 8782, 306, 5073, 14030, 4449, 1547, 19049, 269, 1037, 6600, 516, 336, 8782, 306, 10807, 2020, 1038, 1948, 1628, 543, 4159, 513, 4266, 18134, 540, 2085, 1895, 28135, 454, 1038, 2085, 14682, 4981, 14067, 1846, 815, 27835, 15575, 9166, 2085, 14682, 4981, 18045, 2676, 4449, 19930, 1412, 21196, 9166, 2085, 14682, 4981, 7272, 641, 318, 1485, 2676, 4449, 19930, 1412, 295, 712, 9166, 2085, 14682, 4981, 7272, 641, 20189, 712, 2676, 4449, 19930, 1412, 13510, 326, 25676, 30991, 9166, 2085, 14682, 4981, 318, 822, 326, 4671, 8692, 8679, 1038, 2085, 14682, 4981, 14067, 1846, 815, 19073, 6185, 1092, 20988, 263, 720, 14682, 4981, 14067, 1846, 994, 1038, 1820, 263, 720, 14682, 4981, 14067, 1846, 2020, 825, 1820, 19629, 333, 1607, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 22710, 4917, 825, 1820, 3488, 268, 262, 265, 2412, 9239, 3698, 4159, 318, 3863, 12774, 29254, 2187, 825, 5727, 11514, 680, 904, 476, 276, 3515, 540, 6151, 1239, 952, 16761, 676, 519, 3593, 27969, 692, 825, 1948, 3355, 1125, 1775, 543, 795, 865, 602, 1101, 476, 276, 3515, 540, 6151, 1239, 666, 581, 10268, 454, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 476, 276, 692, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 6151, 12774, 318, 13433, 815, 3403, 19629, 333, 25898, 596, 899, 547, 1294, 476, 276, 1367, 15143, 286, 315, 333, 315, 454, 263, 8923, 4283, 1412, 344, 262, 610, 1412, 333, 262, 2567, 19515, 2018, 1948, 952, 519, 3593, 4267, 4376, 824, 982, 1412, 344, 262, 3136, 530, 270, 334, 1239, 454, 2018, 952, 6151, 12774, 318, 13433, 11203, 1412, 344, 12466, 3546, 2736, 692, 1038, 4849, 6206, 4580, 11328, 4533, 912, 2018, 1820, 28361, 333, 14826, 10048, 783, 954, 8306, 7018, 1862, 5073, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 29254, 269, 559, 665, 5157, 281, 329, 267, 9948, 2020, 2018, 1948, 1039, 476, 276, 547, 1775, 543, 795, 865, 602, 519, 1985, 476, 276, 3515, 666, 581, 10268, 454, 2018, 1775, 6834, 476, 276, 454, 2018, 795, 6834, 476, 276, 7531, 3698, 1292, 10031, 825, 1820, 3488, 15916, 256, 2913, 32075, 338, 2263, 930, 2475, 21891, 327, 732, 1239, 256, 17210, 825, 1247, 6936, 912, 1038, 2749, 267, 3923, 267, 1554, 815, 1205, 6958, 559, 1562, 10797, 1038, 1948, 14827, 1982, 538, 2013, 540, 8261, 954, 8306, 454, 1038, 952, 2749, 2652, 476, 15886, 610, 3923, 2652, 476, 15886, 610, 1554, 2652, 476, 15886, 912, 2018, 1820, 28361, 333, 2750, 1243, 1510, 8939, 513, 2749, 610, 513, 4266, 6882, 14826, 5073, 1038, 3116, 912, 2018, 17093, 815, 4452, 12774, 6262, 640, 267, 3923, 267, 1554, 2020, 2018, 942, 14067, 1846, 29254, 994, 2018, 7552, 5091, 4851, 14067, 1846, 29254, 994, 2018, 6728, 14067, 1846, 29254, 994, 2018, 3593, 14067, 1846, 29254, 2020, 2018, 1948, 4159, 519, 12086, 1031, 676, 519, 3593, 454, 2018, 1820, 19629, 333, 23742, 1562, 1031, 281, 13600, 815, 2715, 9574, 4303, 815, 15079, 4840, 4449, 476, 1547, 8971, 263, 24629, 267, 1554, 11723, 2018, 4159, 318, 3863, 12774, 29254, 2020, 1038, 1964, 691, 815, 3403, 19629, 333, 25898, 596, 899, 547, 1964, 691, 286, 315, 333, 315, 454, 263, 8923, 4283, 1412, 344, 262, 610, 1412, 333, 262, 2567, 19515, 1038, 952, 1964, 691, 31573, 3890, 11203, 1412, 344, 12466, 2018, 2736, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5814, 1770, 11687, 454, 5228, 14332, 1782, 1104, 14332, 1782, 692, 5035, 4530, 289, 578, 1782, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20777, 4311, 2187, 1038, 536, 815, 14332, 1782, 4590, 1038, 536, 269, 2651, 815, 20886, 276, 267, 273, 25662, 279, 267, 272, 25662, 277, 267, 275, 25662, 1015, 25662, 271, 267, 276, 25662, 273, 267, 277, 25662, 279, 267, 272, 25662, 276, 267, 274, 25662, 277, 267, 272, 25662, 1015, 267, 273, 267, 277, 27663, 1038, 536, 26098, 8999, 4590, 825, 1219, 3403, 318, 20777, 4311, 2187, 1038, 536, 815, 14332, 1782, 4590, 1038, 1820, 3488, 6358, 815, 476, 276, 267, 273, 476, 279, 267, 272, 476, 277, 267, 275, 476, 1015, 476, 271, 267, 276, 476, 273, 267, 277, 476, 279, 267, 272, 476, 276, 267, 274, 476, 277, 267, 272, 476, 1015, 267, 273, 267, 277, 5073, 1038, 1582, 20596, 12148, 6357, 269, 6358, 318, 2651, 8443, 262, 276, 267, 273, 3299, 1412, 279, 267, 272, 3299, 1412, 277, 267, 275, 3299, 1412, 1015, 3299, 1412, 271, 267, 276, 3299, 1412, 273, 267, 277, 3299, 1412, 279, 267, 272, 3299, 1412, 276, 267, 274, 3299, 1412, 277, 267, 272, 3299, 1412, 1015, 267, 273, 267, 277, 11172, 4917, 1038, 1820, 3488, 6358, 815, 476, 276, 267, 273, 476, 279, 267, 272, 476, 277, 267, 275, 476, 1015, 476, 271, 267, 276, 476, 273, 267, 277, 476, 279, 267, 272, 476, 276, 267, 274, 476, 277, 267, 272, 476, 1015, 267, 273, 267, 277, 267, 275, 5073, 1038, 1582, 20596, 16178, 6357, 269, 6358, 318, 2651, 8443, 262, 276, 267, 273, 3299, 1412, 279, 267, 272, 3299, 1412, 277, 267, 275, 3299, 1412, 1015, 3299, 1412, 271, 267, 276, 3299, 1412, 273, 267, 277, 3299, 1412, 279, 267, 272, 3299, 1412, 276, 267, 274, 3299, 1412, 277, 267, 272, 3299, 1412, 1015, 267, 273, 267, 277, 267, 275, 11172, 4917, 1038, 1820, 3488, 6358, 815, 834, 276, 267, 273, 257, 5073, 1038, 1582, 20596, 16178, 6357, 269, 6358, 318, 2651, 3488, 276, 267, 273, 29125, 1038, 1820, 3488, 307, 3949, 1967, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 512, 815, 4530, 289, 578, 1782, 4590, 825, 512, 6745, 652, 318, 20777, 4590, 825, 512, 269, 6358, 318, 20777, 10797, 0, 22852, 815, 29129, 604, 263, 22852, 17107, 476, 585, 3593, 538, 3755, 912, 825, 952, 263, 12528, 2652, 834, 611, 2381, 257, 2567, 1820, 2891, 15916, 14721, 267, 1131, 596, 899, 547, 1294, 513, 4567, 1867, 286, 5602, 825, 3116, 912, 8587, 1820, 6600, 257, 294, 22901, 902, 267, 2715, 12528, 348, 10590, 2020, 12828, 281, 1820, 2891, 2467, 616, 1100, 3755, 1701, 264, 0, 5228, 2979, 1104, 2608, 1477, 5228, 3638, 1104, 1820, 1477, 5228, 3638, 26769, 18030, 1104, 1230, 18030, 1477, 5228, 3638, 269, 3966, 601, 1104, 19937, 1477, 5228, 3638, 269, 3667, 1104, 7956, 5897, 5814, 2338, 5897, 935, 18030, 815, 1230, 18030, 31476, 306, 18510, 815, 1193, 6230, 752, 564, 4920, 2891, 23713, 24833, 277, 4281, 280, 2580, 834, 8975, 478, 8975, 479, 8975, 480, 8975, 481, 8975, 482, 8975, 483, 8975, 484, 8975, 485, 8975, 486, 8975, 487, 14744, 306, 16810, 815, 1193, 6230, 752, 564, 4920, 2891, 23713, 24833, 277, 4281, 280, 2580, 834, 22397, 364, 382, 373, 11054, 23326, 22397, 368, 22397, 369, 22397, 370, 22397, 371, 22397, 372, 22397, 373, 14744, 258, 834, 295, 273, 12569, 275, 2668, 10520, 17218, 22829, 18510, 10142, 258, 1599, 8847, 1477, 337, 815, 32494, 1477, 323, 815, 5232, 5897, 326, 815, 910, 280, 269, 10037, 5897, 6523, 323, 815, 25754, 1535, 281, 5430, 16868, 3287, 17903, 338, 785, 815, 25754, 1535, 281, 5609, 16868, 3287, 17903, 339, 663, 815, 25754, 1535, 281, 16009, 16868, 3287, 264, 10142, 520, 663, 815, 25754, 1535, 281, 546, 263, 27979, 3287, 17903, 659, 657, 323, 815, 25754, 1535, 281, 546, 263, 659, 657, 3287, 17903, 553, 785, 815, 25754, 1535, 281, 546, 263, 553, 514, 3287, 264, 10142, 27583, 815, 5727, 315, 1477, 30125, 7780, 1006, 642, 272, 269, 273, 1477, 300, 1228, 676, 2802, 534, 1299, 3193, 1299, 533, 4954, 2433, 10142, 3918, 300, 4932, 21612, 547, 1224, 519, 1966, 654, 16704, 676, 654 ]

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

[ 960, 9164, 16111, 3277, 547, 1864, 607, 2048, 615, 685, 543, 2048, 9917, 685, 5103, 1864, 6998, 873, 547, 3247, 269, 634, 946, 540, 20025, 21770, 568, 25641, 543, 666, 2014, 1208, 559, 2747, 543, 1055, 775, 269, 14731, 949, 581, 2111, 547, 1118, 513, 24255, 540, 7130, 543, 18086, 2932, 593, 519, 4493, 540, 4008, 3961, 896, 519, 2920, 563, 22949, 31621, 31005, 807, 454, 263, 1492, 5604, 540, 519, 14640, 5937, 4593, 19303, 30934, 994, 17490, 281, 476, 9873, 271, 476, 25134, 476, 6187, 273, 630, 514, 31005, 807, 264, 610, 630, 6734, 264, 476, 277, 1626, 276, 476, 4037, 272, 276, 454, 16158, 590, 5960, 281, 476, 31239, 280, 476, 25002, 476, 5400, 274, 454, 9558, 331, 908, 543, 3955, 31147, 6796, 281, 476, 14530, 476, 14596, 454, 13233, 4039, 599, 6796, 454, 22721, 312, 20305, 281, 25439, 476, 15836, 476, 277, 6507, 1287, 2307, 585, 476, 9873, 271, 476, 25134, 476, 6187, 273, 454, 11854, 752, 543, 19415, 281, 476, 9873, 271, 476, 27898, 476, 278, 2767, 1287, 2307, 585, 476, 9873, 271, 476, 25134, 476, 6187, 273, 454, 19423, 823, 281, 5426, 476, 272, 267, 476, 7918, 15117, 853, 267, 20122, 691, 570, 3008, 476, 10384, 271, 454, 8070, 281, 13382, 302, 13340, 476, 3192, 267, 20122, 691, 570, 3008, 476, 10384, 272, 0, 31917, 1715, 5729, 689, 519, 918, 1342, 990, 622, 2319, 256, 1284, 4126, 596, 2461, 737, 10107, 1055, 476, 1001, 278, 609, 513, 17105, 2631, 540, 6612, 267, 3483, 267, 543, 540, 1576, 267, 5876, 256, 1284, 4076, 2097, 909, 609, 513, 19625, 540, 21368, 585, 596, 454, 272, 269, 7844, 707, 1378, 5876, 1101, 269, 2142, 1930, 609, 707, 1053, 827, 707, 18653, 543, 15421, 11652, 519, 5499, 2081, 538, 799, 596, 3343, 547, 2661, 873, 856, 1169, 1554, 563, 273, 269, 5269, 4055, 585, 6667, 269, 634, 1655, 1259, 547, 2333, 3860, 3977, 568, 547, 2333, 3860, 3403, 269, 6744, 856, 519, 918, 1342, 990, 622, 22695, 924, 610, 23512, 790, 1232, 802, 585, 7524, 3308, 14242, 563, 274, 269, 9105, 834, 6343, 952, 8119, 811, 1419, 269, 898, 779, 513, 2241, 2243, 547, 4991, 3214, 685, 8186, 3001, 269, 3973, 5000, 873, 547, 4228, 609, 834, 13433, 267, 543, 29389, 6114, 269, 1411, 3580, 581, 27086, 693, 782, 519, 2093, 10760, 1472, 519, 4055, 563, 275, 269, 623, 2720, 826, 513, 6612, 1788, 269, 5590, 11735, 1256, 607, 2370, 607, 4557, 2600, 540, 707, 1554, 865, 602, 1053, 666, 960, 593, 1945, 789, 2648, 269, 2311, 519, 1439, 540, 519, 3018, 267, 610, 519, 19496, 267, 723, 1053, 1459, 741, 2093, 609, 24235, 563, 276, 269, 18270, 622, 14286, 269, 27065, 3884, 1406, 835, 9589, 4090, 282, 621, 779, 4693, 543, 5470, 543, 21767, 269, 11559, 1053, 547, 2708, 1018, 4682, 4636, 543, 1946, 269, 3973, 17869, 873, 593, 607, 789, 1205, 909, 267, 7452, 2933, 1055, 267, 543, 3136, 593, 1189, 563, 2171, 6999, 596, 543, 707, 1053, 782, 519, 1655, 607, 596, 7832, 593, 713, 1032, 4904, 609, 1761, 563, 1692, 798, 596, 1544, 547, 11349, 5876, 538, 707, 4928, 713, 1032, 286, 2913, 721, 917, 538, 519, 8292, 2630, 269, 0, 1103, 713, 2502, 7634, 540, 519, 8733, 24598, 25751, 540, 519, 2413, 2085, 267, 28553, 13187, 602, 19090, 1705, 711, 3605, 513, 1007, 1158, 855, 267, 3079, 267, 2813, 835, 267, 5337, 1746, 513, 1974, 540, 6211, 5385, 543, 968, 935, 341, 14601, 10489, 738, 4851, 892, 602, 5170, 547, 713, 1554, 269, 29665, 538, 519, 9998, 21113, 540, 14051, 1765, 339, 984, 8829, 267, 8988, 267, 12277, 1765, 3559, 6244, 7239, 547, 9101, 267, 693, 2547, 17303, 267, 631, 953, 639, 779, 3069, 540, 3908, 2200, 267, 7700, 547, 606, 13778, 2551, 22820, 267, 2943, 621, 849, 19658, 519, 3262, 540, 2068, 543, 25010, 748, 6694, 2853, 267, 3056, 547, 8474, 543, 2112, 269, 28553, 632, 1111, 569, 32514, 919, 891, 32475, 593, 513, 1480, 4336, 281, 519, 9420, 5208, 543, 9810, 693, 11918, 652, 1144, 267, 519, 16970, 14226, 540, 4074, 538, 519, 8988, 15183, 540, 30643, 267, 519, 25713, 5433, 676, 17417, 2390, 1101, 7487, 513, 12285, 3440, 25483, 269, 2334, 5605, 2526, 775, 11498, 547, 2221, 779, 19618, 1158, 267, 20651, 676, 968, 321, 650, 687, 540, 1004, 15292, 532, 998, 5051, 9838, 8916, 1848, 2340, 503, 355, 454, 298, 17673, 5510, 519, 8092, 454, 3963, 616, 865, 1082, 3109, 3885, 9561, 741, 2244, 888, 288, 13787, 626, 538, 519, 6519, 5600, 454, 12663, 11686, 779, 17037, 25176, 610, 2611, 10121, 547, 513, 2462, 582, 888, 23804, 12846, 1145, 538, 16506, 779, 21940, 776, 27347, 538, 519, 6520, 540, 11686, 454, 2252, 5599, 568, 4847, 547, 2253, 1985, 547, 519, 21940, 776, 27347, 267, 519, 3441, 547, 922, 29814, 8933, 543, 12647, 1131, 581, 26464, 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 ]

[ 519, 1624, 760, 1388, 27914, 540, 519, 2634, 5556, 523, 1388, 17244, 540, 519, 1624, 760, 1388, 27914, 3131, 514, 7614, 29769, 807, 661, 1338, 13921, 4345, 631, 2287, 4345, 589, 4429, 1862, 22787, 1579, 1111, 532, 540, 7633, 4478, 519, 9804, 10739, 630, 5674, 324, 23094, 1070, 971, 607, 519, 28882, 543, 22725, 337, 2711, 5642, 282, 543, 3267, 4033, 17244, 267, 7133, 519, 21435, 267, 2212, 267, 3068, 267, 10265, 543, 4522, 949, 581, 1336, 609, 808, 7034, 269, 1452, 1331, 281, 28341, 25866, 531, 4571, 11060, 3267, 28454, 609, 519, 6418, 1274, 538, 808, 7034, 2285, 7778, 547, 519, 4527, 540, 24845, 9300, 710, 1116, 6217, 2530, 538, 1034, 2550, 3267, 7736, 18355, 17244, 538, 824, 2127, 723, 849, 1044, 1459, 609, 519, 4524, 269, 1452, 1331, 30847, 267, 2208, 9449, 4429, 1862, 630, 4753, 288, 264, 568, 513, 22787, 267, 15110, 267, 24845, 3750, 2068, 540, 5243, 267, 799, 5540, 519, 22100, 267, 32711, 1355, 267, 543, 3267, 634, 4110, 540, 891, 17244, 9775, 1063, 1367, 5243, 267, 543, 1256, 1063, 519, 1482, 2915, 781, 4064, 269, 9460, 288, 568, 15110, 607, 606, 3267, 9460, 288, 568, 3361, 676, 16789, 1646, 540, 519, 3750, 269, 23299, 540, 519, 2281, 540, 519, 17911, 6712, 540, 519, 23726, 5738, 2873, 547, 3267, 834, 301, 13960, 32108, 667, 3089, 24729, 1782, 4825, 686, 1197, 11833, 630, 24433, 29215, 7502, 773, 16685, 1323, 28109, 5494, 2642, 769, 634, 25429, 32108, 667, 3089, 24729, 1782, 4825, 686, 1197, 269, 4429, 8448, 15087, 602, 949, 581, 1459, 1331, 25858, 344, 267, 23743, 1194, 2960, 1472, 519, 4064, 543, 5924, 17244, 540, 519, 22442, 10449, 267, 32071, 4900, 3267, 568, 513, 4686, 16220, 26945, 1895, 540, 4713, 602, 616, 6353, 676, 22787, 24845, 10077, 899, 11132, 15087, 3267, 5276, 10237, 2218, 24221, 593, 519, 30432, 543, 22787, 8880, 562, 22438, 698, 16443, 269, 8409, 609, 519, 5590, 548, 529, 6794, 949, 581, 4429, 2177, 295, 666, 581, 796, 10561, 630, 514, 835, 3750, 264, 610, 24845, 630, 514, 1312, 4064, 1070, 4352, 621, 6799, 1034, 1419, 21536, 831, 958, 630, 3199, 22103, 5221, 519, 3267, 667, 583, 2023, 267, 717, 715, 630, 272, 5437, 476, 1220, 275, 1040, 834, 17812, 523, 1388, 4713, 540, 519, 23726, 8229, 281, 14155, 725, 543, 3834, 6955, 14901, 2668, 16685, 269, 476, 1240, 630, 1556, 2567, 476, 9818, 279, 268, 10441, 279, 269, 3267, 2806, 7538, 885, 10423, 3842, 8411, 528, 14508, 2762, 666, 1331, 989, 523, 8412, 630, 11274, 775, 264, 610, 3834, 6955, 14901, 540, 519, 24402, 1289, 657, 636, 267, 9000, 610, 3267, 17889, 547, 5447, 519, 4064, 666, 581, 5340, 2899, 1453, 609, 2269, 321, 1143, 639, 1020, 3160, 3308, 1035, 8462, 538, 1312, 4064, 267, 1034, 1419, 4429, 20812, 13630, 601, 528, 1143, 630, 684, 17141, 2647, 1606, 564, 4064, 1070, 7986, 28882, 7633, 543, 24101, 571, 12643, 1388, 25170, 630, 1492, 32071, 992, 25170, 1070, 24845, 3267, 715, 553, 617, 13424, 334, 659, 15064, 6794, 568, 22787, 543, 568, 6353, 676, 513, 1297, 540, 17725, 267, 11132, 543, 22623, 658, 2934, 269, 1452, 1331, 3267, 9615, 540, 713, 13487, 25983, 1275, 666, 2154, 6391, 267, 610, 1875, 1606, 17790, 5773, 899, 17891, 1130, 341, 592, 6955, 7360, 630, 342, 573, 2287, 519, 3267, 715, 553, 617, 13424, 334, 659, 15064, 6794, 267, 849, 1572, 3223, 328, 13630, 6794, 267, 568, 513, 4686, 22787, 6794, 1101, 4330, 676, 808, 6993, 269, 3223, 328, 13630, 543, 4429, 1862, 568, 513, 4686, 22787, 4524, 269, 898, 568, 849, 1634, 607, 3185, 7394, 7988, 2102, 8412, 267, 24845, 3185, 7394, 7988, 2102, 8412, 267, 3267, 28438, 910, 5455, 1189, 569, 1793, 13589, 22442, 1749, 28024, 13987, 10374, 17873, 630, 6193, 668, 20782, 264, 12339, 2720, 910, 15534, 270, 629, 7538, 674, 4310, 7633, 540, 519, 12636, 630, 338, 659, 5300, 3267, 11524, 2637, 527, 712, 2435, 17244, 7201, 16467, 539, 9641, 30171, 13811, 639, 12091, 3930, 639, 2986, 4063, 7214, 1646, 3335, 568, 3267, 24845, 7304, 984, 514, 31096, 543, 3185, 7394, 3834, 6955, 14901, 10595, 639, 783, 1795, 625, 6794, 269, 634, 1292, 2934, 540, 713, 4524, 616, 896, 16467, 539, 4429, 288, 897, 984, 5448, 666, 2049, 538, 835, 3750, 630, 684, 10561, 264, 610, 1312, 4064, 630, 321, 10561, 1040, 4107, 2665, 540, 897, 984, 5448, 1860, 1152, 519, 32640, 269, 4658, 609, 3267, 16685, 17244, 723, 1044, 3254, 547, 2049, 538, 936, 476, 3445, 260, 540, 1453, 609, 19341, 4568, 6794, 269, 4033, 522, 4788, 4731, 845, 725, 602, 3267, 623, 6782, 17241, 267, 24023, 808, 300, 267, 2098, 517, 3570, 808, 267, 962, 784, 20793, 630, 2735, 272, 1040, 834, 8624, 984, 5448, 267, 22787, 2295, 2068, 267, 543, 1781, 534, 531, 693, 637, 807, 609, 2789, 22114, 3267, 8940, 25331, 333, 756, 3820, 16896, 270, 5674, 324, 268, 8234, 31378, 268, 1718, 1431, 22271, 31378, 268, 1718, 1431, 270, 3712, 984, 5448, 258, 303, 10844, 318, 280, 1789, 274, 24125, 2421, 267, 590, 297, 282, 1520, 20462, 267, 590, 282, 31408, 267, 9460, 282, 667, 663, 7431, 267, 700, 282, 4429, 1862, 2864, 982, 17244, 538, 519, 2281, 540, 519, 3750, 781, 22100, 269, 898, 568, 1419, 11821, 609, 22787, 513, 577, 668, 520, 3591, 807, 855, 5817, 3267, 898, 568, 7164, 2436, 713, 729, 519, 1267, 540, 24845, 15087, 1373, 811, 2693, 547, 3132, 2681, 2000, 1601, 2589, 267, 610, 952, 621, 729, 513, 3267, 1261, 1336, 3536, 29832, 755, 532, 538, 741, 12457, 880, 267, 4666, 5920, 543, 1185, 547, 2673, 1010, 4064, 547, 3548, 269, 1809, 713, 1705, 711, 948, 1360, 1454, 267, 3267, 6423, 834, 11795, 2397, 689, 5556, 523, 1388, 21926, 668, 520, 3591, 807, 257, 3296, 2630, 269, 24583, 13887, 513, 577, 668, 520, 3591, 13519, 338, 1419, 723, 4057, 8901, 1035, 8462, 269, 634, 1034, 4429, 763, 1614, 1034, 1455, 5778, 268, 2684, 11209, 6193, 17244, 2938, 538, 24197, 4713, 616, 24845, 23726, 29302, 267, 3267, 901, 7363, 4386, 538, 1312, 4064, 693, 519, 1482, 942, 543, 568, 711, 2404, 609, 1022, 3750, 1928, 269, 1358, 1522, 7620, 5469, 513, 20747, 3267, 634, 1576, 540, 2126, 9775, 609, 519, 22787, 3029, 540, 891, 5778, 12949, 625, 269, 1703, 616, 930, 3075, 5574, 602, 723, 3254, 3267, 543, 2356, 6799, 609, 4028, 5075, 2530, 538, 835, 3750, 4553, 676, 9525, 540, 519, 2034, 3750, 630, 17141, 1369, 3275, 1040, 4429, 17812, 523, 1388, 29847, 5549, 2064, 281, 835, 538, 1169, 476, 1911, 876, 268, 5611, 876, 2661, 24570, 269, 645, 10561, 538, 909, 547, 476, 3199, 260, 540, 2665, 269, 4107, 2665, 616, 26742, 19631, 630, 3267, 898, 568, 3361, 1813, 547, 17244, 538, 519, 18751, 12068, 5086, 1646, 602, 29572, 25694, 856, 6503, 538, 519, 9000, 540, 3267, 513, 2783, 538, 799, 519, 8006, 540, 519, 31894, 568, 3677, 982, 8912, 543, 519, 3750, 568, 6382, 3339, 269, 5565, 540, 519, 811, 4122, 3267, 5556, 523, 1388, 12729, 3794, 26153, 593, 3461, 29335, 22319, 18800, 270, 10998, 10292, 21610, 296, 295, 270, 308, 310, 7127, 593, 12729, 5556, 523, 1388, 3794, 26153, 3794, 26153, 7127, 593, 623, 24774, 11902, 4429, 291, 6350, 523, 30110, 23364, 267, 918, 269, 630, 1220, 277, 1040, 5556, 523, 1388, 22114, 543, 9715, 17244, 540, 519, 23726, 8229, 267, 630, 309, 619, 542, 476, 1691, 269, 274, 1040, 772, 696, 334, 14630, 630, 4002, 6441, 710, 3267, 634, 23726, 8229, 2212, 267, 610, 23726, 1167, 568, 519, 18751, 1439, 540, 519, 8229, 602, 568, 538, 519, 3750, 543, 8754, 568, 7298, 609, 606, 3267, 6168, 1079, 555, 8674, 547, 1614, 20453, 540, 4791, 2665, 616, 24845, 269, 589, 683, 23145, 10043, 1353, 540, 476, 278, 4391, 2665, 4951, 513, 476, 273, 269, 275, 260, 11841, 609, 3267, 898, 568, 4092, 13439, 958, 543, 5594, 17071, 547, 519, 5672, 3121, 540, 519, 3750, 269, 1703, 568, 513, 9420, 5544, 693, 519, 23726, 1167, 1317, 972, 616, 4429, 17812, 523, 1388, 17244, 540, 519, 2295, 723, 849, 1044, 4767, 609, 5689, 335, 826, 577, 6794, 269, 3245, 513, 2635, 5545, 7008, 267, 25590, 523, 3267, 610, 24845, 630, 320, 977, 532, 1312, 5011, 540, 519, 5023, 543, 31370, 1040, 11120, 658, 1579, 1111, 532, 3622, 13315, 513, 2647, 2039, 540, 10335, 267, 3267, 29099, 2647, 1606, 564, 4064, 267, 3006, 4080, 607, 7658, 4754, 28387, 1070, 7522, 5493, 701, 13887, 535, 1170, 999, 630, 1492, 9668, 1063, 519, 5580, 543, 3267, 834, 293, 19781, 910, 667, 8656, 294, 301, 5308, 3041, 5508, 12164, 294, 2894, 3951, 3201, 589, 8042, 3036, 300, 3201, 296, 25765, 910, 5990, 476, 1240, 268, 2537, 654, 7417, 16775, 14662, 3198, 2668, 2578, 6350, 2593, 269, 1962, 269, 8158, 5437, 476, 1626, 267, 476, 1001, 271, 269, 834, 14240, 4429, 3849, 738, 623, 339, 2670, 693, 552, 8469, 21778, 834, 292, 6614, 623, 339, 2670, 5556, 523, 1388, 2668, 8158, 476, 1001, 271, 268, 6187, 268, 1691, 269, 5685, 560, 19907, 267, 808, 630, 1220, 274, 1040, 834, 303, 339, 2670, 281, 3123, 267, 6881, 267, 3267, 634, 28887, 2670, 3361, 676, 519, 522, 1529, 558, 19318, 25097, 344, 666, 581, 796, 10561, 610, 24845, 267, 607, 519, 1016, 333, 16197, 639, 547, 519, 26550, 1807, 4887, 568, 513, 3838, 267, 3267, 623, 339, 2670, 666, 581, 3361, 676, 519, 3284, 821, 1755, 3974, 540, 519, 26550, 1807, 4887, 267, 8229, 17244, 267, 8194, 267, 6553, 610, 15087, 540, 519, 19984, 3267, 5556, 523, 1388, 28887, 2670, 568, 22420, 538, 1614, 1292, 3029, 269, 15486, 540, 22787, 28887, 2670, 2611, 7164, 269, 623, 339, 2670, 949, 581, 3361, 676, 3441, 4429, 1862, 543, 22787, 18555, 1145, 269, 13660, 2033, 6794, 568, 1034, 4440, 513, 3765, 342, 3931, 540, 519, 3750, 6091, 267, 4929, 930, 3750, 6091, 547, 4579, 3267, 2755, 2356, 9678, 547, 519, 3750, 17244, 267, 13660, 2033, 6794, 666, 581, 2404, 609, 824, 2042, 1519, 17818, 12636, 3267, 15907, 476, 1015, 268, 736, 260, 540, 2665, 616, 22686, 282, 891, 616, 811, 2693, 547, 581, 24845, 982, 1875, 1922, 7056, 658, 13660, 2033, 6794, 269, 13660, 2033, 6794, 814, 3267, 13660, 2033, 6794, 568, 513, 22787, 4686, 1826, 540, 2269, 321, 1143, 639, 1034, 4122, 6353, 676, 519, 17418, 540, 519, 3750, 547, 1847, 856, 2072, 4429, 1862, 12970, 1020, 538, 1312, 4064, 630, 321, 10561, 30636, 984, 18431, 5448, 1040, 634, 1297, 543, 2450, 540, 6084, 2293, 593, 1142, 3750, 949, 4268, 269, 769, 1978, 2665, 267, 3267, 547, 948, 3313, 2436, 519, 4064, 616, 18084, 269, 16685, 6514, 281, 10992, 585, 1022, 7293, 17244, 269, 21563, 534, 26396, 5280, 3267, 476, 272, 269, 6431, 11962, 5409, 27415, 3119, 3857, 516, 748, 630, 15771, 11901, 2567, 22787, 11095, 31096, 540, 519, 3750, 4611, 689, 5821, 540, 519, 3267, 16685, 2860, 16685, 6514, 4825, 514, 984, 18431, 5448, 19871, 1977, 9435, 5980, 630, 1220, 274, 1040, 834, 6637, 476, 5952, 269, 3026, 21182, 916, 540, 519, 16685, 2668, 9435, 4429, 17812, 523, 1388, 17725, 17244, 2637, 13443, 6508, 6803, 5991, 846, 17244, 21733, 1600, 17244, 971, 607, 281, 2353, 21544, 543, 3267, 519, 21431, 781, 31378, 2070, 630, 5228, 2630, 1070, 519, 6177, 781, 31378, 2070, 630, 1478, 3650, 1070, 543, 1614, 6709, 6621, 3491, 12803, 5784, 269, 7353, 1748, 589, 269, 910, 7046, 3267, 952, 24845, 31027, 531, 22286, 2355, 616, 1031, 267, 519, 31027, 531, 20162, 1281, 1831, 1821, 6018, 1242, 267, 7654, 689, 1775, 520, 4088, 545, 31027, 531, 3267, 22787, 9224, 12889, 543, 22775, 885, 269, 5556, 523, 1388, 17244, 595, 3847, 9067, 543, 31370, 538, 4999, 282, 1579, 1111, 9067, 630, 3832, 3342, 577, 529, 529, 4429, 1103, 3425, 267, 19341, 1579, 1111, 9067, 543, 824, 22787, 17244, 723, 849, 1044, 5532, 547, 14774, 3834, 2135, 807, 267, 607, 3361, 676, 552, 3052, 269, 3267, 595, 3847, 338, 666, 849, 1860, 824, 2694, 540, 519, 3068, 267, 971, 607, 519, 4064, 267, 10772, 267, 9224, 267, 1750, 4060, 267, 543, 30432, 269, 769, 476, 3192, 277, 267, 6754, 570, 612, 1512, 3267, 769, 930, 2665, 540, 513, 4049, 1979, 2000, 8632, 2347, 1579, 1111, 267, 519, 6566, 1314, 16736, 10126, 786, 581, 31732, 24231, 2484, 3544, 519, 5023, 269, 3267, 769, 14814, 1579, 1111, 31370, 1133, 10561, 2347, 9067, 543, 31370, 645, 10561, 2347, 9067, 543, 31370, 589, 1267, 540, 606, 1930, 4276, 4429, 305, 889, 7578, 568, 1634, 547, 2014, 17244, 540, 519, 3750, 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 ]

[ 1858, 269, 634, 9998, 835, 267, 5842, 2274, 821, 267, 729, 12617, 676, 23419, 538, 519, 4571, 268, 1626, 628, 2540, 563, 268, 5617, 335, 27591, 630, 16647, 269, 476, 2764, 267, 1822, 264, 568, 1753, 547, 18264, 2522, 663, 267, 519, 4102, 1216, 335, 1046, 538, 7013, 7977, 282, 543, 18264, 333, 24550, 267, 7977, 781, 11359, 28376, 10918, 4099, 269, 1234, 321, 16742, 538, 476, 15433, 275, 538, 513, 7470, 540, 2786, 10754, 267, 621, 568, 1634, 607, 519, 834, 3832, 1087, 4580, 540, 519, 18264, 3534, 4799, 268, 645, 1014, 322, 822, 8759, 630, 16647, 269, 476, 2537, 267, 1822, 264, 729, 8547, 538, 519, 3735, 476, 1428, 628, 2540, 676, 24640, 2103, 7904, 7566, 12228, 30689, 269, 589, 544, 4115, 12835, 4547, 936, 676, 519, 3312, 13896, 568, 1869, 9006, 23306, 676, 519, 10034, 15161, 269, 634, 4527, 540, 15852, 544, 2378, 807, 804, 753, 8309, 547, 519, 5266, 1164, 2199, 6760, 2557, 563, 299, 6072, 2095, 689, 18264, 3534, 1282, 606, 20349, 538, 5130, 476, 1001, 272, 563, 15862, 281, 19449, 12494, 21034, 1315, 16671, 15760, 4149, 288, 476, 274, 269, 271, 454, 268, 1520, 3757, 334, 630, 16647, 269, 476, 3374, 267, 1822, 11317, 264, 729, 8547, 1472, 476, 6110, 7460, 676, 667, 542, 903, 639, 267, 519, 5259, 1119, 7949, 540, 5204, 2350, 2224, 269, 589, 7203, 659, 523, 8115, 543, 513, 22374, 14500, 1449, 1518, 547, 519, 4884, 781, 9867, 1686, 563, 268, 17588, 974, 630, 16647, 269, 476, 866, 267, 1822, 1070, 476, 1015, 5195, 630, 1626, 5998, 264, 689, 18264, 3534, 781, 21895, 267, 568, 3957, 1310, 1412, 1492, 774, 1495, 19907, 3299, 835, 540, 519, 7814, 8554, 689, 5259, 13299, 1767, 547, 2661, 896, 519, 18962, 269, 769, 476, 9692, 280, 267, 6628, 781, 8098, 12637, 20307, 729, 2813, 16099, 540, 17588, 974, 676, 3751, 30544, 8633, 540, 10878, 1255, 267, 538, 14696, 585, 1010, 948, 538, 1139, 7675, 513, 4838, 543, 23232, 30544, 781, 17599, 454, 268, 20290, 7357, 11303, 676, 17588, 974, 267, 519, 2370, 4884, 540, 5689, 564, 1729, 630, 16647, 269, 476, 275, 267, 1822, 264, 18953, 5216, 824, 25772, 3842, 519, 1232, 760, 2002, 693, 18264, 3534, 781, 21895, 269, 4706, 8129, 4266, 1394, 547, 513, 14500, 3710, 538, 519, 476, 1724, 628, 2540, 676, 2494, 15728, 328, 5689, 24297, 267, 513, 3448, 540, 14890, 19291, 4083, 269, 1280, 519, 1614, 6377, 853, 3863, 9440, 16635, 4371, 1142, 4873, 267, 519, 17137, 3132, 513, 9649, 12450, 9440, 14735, 540, 936, 513, 8536, 737, 3342, 563, 288, 1297, 540, 16857, 6811, 27721, 593, 519, 3162, 24504, 454, 15862, 281, 700, 758, 531, 318, 3682, 16344, 1315, 16671, 15760, 4149, 288, 476, 273, 269, 276, 454, 18814, 547, 5689, 564, 1729, 781, 10859, 10276, 743, 8491, 3510, 267, 596, 1223, 8044, 602, 711, 476, 1015, 855, 476, 1556, 5094, 16857, 4559, 2743, 693, 18264, 3534, 781, 21895, 269, 23657, 1259, 267, 621, 781, 513, 2603, 269, 634, 2601, 585, 713, 2189, 3510, 568, 519, 3742, 15027, 1533, 540, 519, 7823, 269, 901, 14906, 619, 519, 21895, 543, 1804, 2127, 1472, 621, 12303, 791, 817, 762, 269, 8616, 18513, 6392, 267, 899, 2470, 3294, 267, 705, 4243, 513, 12511, 269, 1924, 519, 4478, 10034, 1305, 741, 7182, 711, 1141, 741, 8075, 610, 4610, 1439, 2443, 1346, 7182, 1131, 581, 4756, 19037, 267, 1813, 547, 519, 13112, 2456, 540, 519, 7823, 2443, 855, 693, 519, 9663, 1492, 560, 2009, 1448, 281, 519, 7823, 781, 1283, 563, 5278, 786, 2161, 602, 513, 2147, 3510, 4386, 693, 519, 3162, 24504, 267, 1141, 1585, 267, 14356, 20718, 6811, 723, 849, 2813, 513, 1232, 760, 2002, 269, 1809, 2094, 519, 21303, 15521, 540, 476, 3422, 272, 814, 3927, 13792, 782, 16857, 6811, 538, 19778, 267, 602, 1232, 760, 2002, 693, 519, 5377, 540, 519, 1158, 568, 513, 4956, 569, 7811, 835, 269, 1677, 3643, 519, 1158, 781, 1152, 834, 331, 633, 257, 835, 267, 18214, 519, 8122, 540, 22031, 3873, 652, 639, 781, 585, 613, 267, 543, 7281, 646, 781, 711, 827, 547, 10726, 593, 1010, 606, 341, 559, 563, 13356, 760, 2002, 4786, 25735, 609, 2186, 10479, 540, 18536, 17755, 3757, 698, 7315, 563, 1805, 9792, 21476, 1948, 4200, 273, 454, 294, 582, 513, 9490, 4786, 286, 2913, 803, 917, 693, 4757, 11333, 2593, 563, 4517, 344, 6341, 6199, 543, 595, 2077, 514, 6660, 3999, 328, 1205, 12758, 538, 606, 12808, 16806, 942, 8520, 563, 268, 5565, 16806, 14538, 3605, 789, 2811, 16290, 538, 606, 12808, 942, 8520, 267, 24971, 909, 538, 26054, 25951, 936, 543, 936, 543, 936, 563, 268, 1306, 519, 4641, 540, 741, 3510, 5036, 538, 267, 715, 5138, 543, 8861, 6430, 547, 2972, 519, 16625, 32570, 902, 563, 268, 634, 4670, 568, 9985, 31764, 585, 513, 1158, 12062, 532, 693, 1753, 1282, 513, 6855, 563, 32178, 3171, 2106, 2006, 2899, 4280, 513, 25064, 2243, 269, 5565, 20037, 1053, 1175, 12943, 621, 563, 2080, 781, 513, 1187, 4603, 547, 2119, 269, 3619, 547, 707, 20562, 787, 543, 1294, 952, 596, 723, 513, 4216, 540, 838, 698, 515, 26152, 269, 1403, 596, 798, 267, 1491, 856, 513, 562, 22259, 269, 3400, 321, 1312, 7475, 540, 621, 543, 18846, 621, 2394, 621, 9397, 538, 3368, 269, 1215, 1082, 4773, 1705, 621, 2736, 883, 286, 1403, 596, 3893, 1079, 1804, 4773, 543, 693, 2547, 835, 1507, 4062, 596, 2811, 711, 4805, 563, 3719, 2257, 14560, 513, 1434, 4161, 283, 335, 285, 763, 9814, 7283, 5667, 9407, 2394, 476, 1220, 276, 267, 950, 3943, 3744, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 270, 349, 7596, 8432, 270, 257, 3077, 6889, 318, 29734, 22969, 15368, 850, 10748, 8432, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 270, 349, 928, 4157, 597, 577, 270, 257, 3077, 6889, 318, 29734, 22969, 5353, 30807, 1329, 3026, 4157, 597, 577, 21742, 320, 285, 342, 517, 606, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 574, 22238, 762, 2593, 270, 580, 270, 257, 3077, 6889, 318, 29734, 22969, 296, 326, 17587, 15356, 9572, 320, 285, 267, 606, 8366, 2016, 547, 3744, 585, 1483, 960, 799, 568, 540, 513, 1447, 3978, 2470, 982, 519, 8906, 602, 3094, 17587, 26065, 267, 585, 6368, 8159, 1946, 713, 4523, 269, 2999, 320, 27430, 6889, 10674, 2517, 4178, 7456, 7825, 12459, 1380, 24586, 8807, 337, 4882, 335, 698, 515, 26152, 270, 7596, 8432, 318, 928, 4157, 597, 577, 6958, 4048, 7695, 15005, 257, 3077, 6889, 318, 29734, 22969, 19853, 1957, 10503, 519, 1198, 568, 4898, 2685, 16168, 547, 1224, 9572, 320, 285, 267, 607, 621, 3217, 971, 513, 7333, 531, 3390, 865, 12517, 269, 21742, 335, 12481, 335, 285, 5445, 7152, 602, 950, 513, 11425, 568, 18761, 2250, 513, 1978, 1448, 267, 971, 607, 950, 838, 698, 515, 26152, 568, 2879, 11474, 538, 3368, 676, 19755, 621, 693, 519, 7475, 267, 513, 834, 338, 333, 777, 3724, 1198, 257, 568, 2813, 269, 901, 3123, 1648, 547, 26871, 828, 622, 689, 519, 3355, 2736, 547, 824, 2694, 540, 519, 11425, 267, 1419, 3056, 547, 513, 2034, 2736, 11992, 27135, 335, 12481, 335, 285, 4407, 713, 12306, 519, 3390, 540, 2999, 655, 285, 25585, 21742, 655, 285, 4944, 698, 515, 26152, 30653, 2736, 883, 1614, 610, 811, 4773, 267, 621, 4769, 1405, 3715, 952, 789, 2141, 1185, 547, 2736, 713, 1259, 269, 634, 2243, 540, 952, 519, 26882, 3724, 1223, 581, 14931, 7283, 796, 3553, 339, 1194, 27135, 335, 11417, 24357, 27913, 267, 1373, 2933, 267, 5612, 4941, 547, 2119, 543, 2736, 18437, 883, 1079, 4773, 1210, 713, 9623, 283, 335, 12481, 320, 27430, 6889, 10059, 2517, 549, 515, 1170, 269, 5320, 12304, 2593, 11721, 684, 270, 257, 3077, 6889, 318, 29734, 22969, 305, 10735, 1261, 1170, 518, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10059, 2517, 4118, 269, 2466, 12975, 7933, 1311, 800, 24579, 12803, 21703, 286, 3671, 284, 9965, 278, 257, 3077, 6889, 318, 29734, 22969, 309, 880, 531, 4793, 559, 9572, 320, 285, 267, 1079, 10927, 1053, 4867, 693, 26658, 543, 20037, 6606, 267, 1224, 827, 3171, 2106, 2006, 781, 3781, 540, 562, 22259, 2879, 6260, 538, 1362, 543, 941, 6273, 547, 2119, 543, 1265, 1018, 1223, 581, 2944, 547, 1118, 2386, 519, 18437, 2141, 13264, 538, 1079, 27135, 335, 12481, 335, 12481, 320, 27430, 6889, 10674, 2517, 18080, 269, 2466, 12975, 270, 1001, 279, 270, 2466, 2173, 520, 11490, 2103, 1606, 9876, 21943, 6040, 17898, 698, 515, 26152, 2173, 344, 20712, 268, 32146, 274, 257, 3077, 6889, 318, 29734, 22969, 3528, 11093, 519, 30653, 538, 513, 2027, 3684, 9572, 320, 285, 3710, 585, 519, 4305, 543, 10916, 519, 19755, 609, 513, 1164, 14617, 8254, 267, 519, 1762, 3744, 941, 2111, 547, 7747, 538, 3665, 1469, 4010, 1018, 1142, 1689, 538, 741, 2879, 6260, 1505, 1705, 547, 519, 18437, 269, 2991, 8840, 811, 982, 476, 4335, 30653, 267, 789, 1336, 519, 3070, 27135, 335, 11417, 763, 17102, 519, 20037, 3173, 3710, 4481, 585, 519, 4305, 540, 2879, 6260, 7366, 540, 838, 698, 515, 26152, 16853, 563, 18154, 712, 17940, 540, 519, 3173, 994, 1432, 2009, 3498, 1223, 713, 723, 286, 283, 335, 285, 763, 26882, 3724, 1198, 568, 711, 3908, 547, 4608, 10541, 18437, 30653, 543, 666, 581, 4294, 547, 22203, 540, 782, 12204, 269, 634, 6602, 540, 875, 547, 2973, 569, 2736, 873, 538, 1079, 1223, 581, 4294, 547, 2104, 4702, 3785, 27135, 335, 12481, 335, 285, 12024, 3772, 267, 6616, 875, 1919, 23650, 543, 3111, 568, 2141, 13561, 547, 917, 950, 596, 2811, 3843, 547, 1628, 1919, 269, 12539, 15089, 582, 25683, 267, 2999, 320, 27430, 6889, 10059, 2517, 15927, 20459, 2593, 270, 728, 2378, 3975, 270, 21666, 5991, 534, 582, 4209, 1606, 10628, 3887, 4582, 1807, 257, 3077, 6889, 318, 1345, 22969, 27273, 2178, 26561, 1419, 688, 6150, 607, 519, 2679, 1570, 540, 519, 2104, 9572, 320, 285, 267, 616, 849, 22203, 799, 666, 581, 1732, 6956, 7064, 547, 713, 9642, 4603, 27135, 335, 12481, 335, 285, 15919, 2462, 8906, 666, 581, 6273, 676, 25064, 2055, 269, 1403, 621, 22821, 1405, 1044, 585, 9400, 3171, 2106, 2006, 19755, 30653, 29235, 1296, 3516, 267, 649, 9327, 1405, 917, 1018, 649, 917, 1631, 827, 875, 1648, 568, 24797, 998, 22203, 543, 875, 547, 1852, 741, 5762, 1005, 269, 2755, 711, 782, 25064, 2055, 786, 1291, 547, 971, 513, 1713, 6602, 267, 789, 666, 782, 948, 721, 1451, 27135, 335, 11417, 763, 15491, 6147, 31616, 568, 1804, 2443, 621, 781, 1175, 17401, 25649, 563, 268, 589, 3532, 18909, 5916, 609, 9781, 3301, 2164, 538, 513, 11207, 1007, 2070, 540, 519, 1480, 6147, 31616, 563, 268, 634, 865, 10777, 1412, 331, 8077, 2634, 262, 568, 5176, 476, 3199, 260, 519, 2450, 540, 519, 19548, 16794, 950, 621, 781, 11200, 539, 563, 268, 901, 851, 540, 519, 2634, 568, 2404, 609, 513, 2603, 540, 1919, 267, 543, 513, 1007, 5691, 4786, 568, 9290, 2406, 26093, 543, 1950, 563, 9617, 896, 938, 2634, 781, 16794, 543, 2673, 547, 938, 2634, 6565, 18795, 519, 6147, 31616, 267, 849, 1634, 607, 519, 834, 331, 8077, 2634, 1701, 898, 781, 606, 1418, 1082, 2831, 723, 267, 543, 649, 2811, 1869, 1565, 1018, 621, 1281, 538, 3425, 269, 898, 781, 1279, 1044, 2219, 547, 581, 3238, 538, 10444, 3403, 543, 5179, 1852, 267, 855, 2487, 2090, 5267, 621, 849, 4249, 513, 1909, 538, 513, 2603, 540, 824, 1919, 267, 1519, 7553, 267, 2219, 267, 543, 1928, 269, 2991, 782, 267, 827, 3368, 540, 519, 2634, 781, 11409, 21078, 972, 269, 1809, 621, 781, 865, 1507, 269, 31453, 621, 781, 711, 267, 2687, 547, 513, 1007, 1353, 689, 5842, 17630, 3557, 2160, 630, 306, 9169, 308, 264, 3370, 538, 623, 2793, 306, 630, 3682, 17503, 540, 519, 2817, 9142, 540, 7070, 1916, 288, 8849, 1835, 17845, 701, 454, 288, 1007, 9196, 1353, 3366, 676, 6530, 7548, 543, 5042, 5778, 27023, 626, 9410, 590, 699, 7224, 540, 519, 590, 9169, 308, 18909, 24919, 4741, 8761, 602, 519, 6147, 31616, 568, 2965, 606, 5704, 2299, 25649, 1418, 602, 814, 513, 2627, 1858, 3160, 538, 2450, 547, 476, 4281, 2600, 540, 519, 19548, 16794, 269, 590, 699, 7224, 267, 513, 22082, 538, 18909, 2634, 9196, 267, 32524, 609, 824, 4966, 689, 519, 772, 14389, 1421, 4516, 267, 543, 519, 13814, 563, 3383, 1018, 1281, 621, 1413, 899, 286, 1133, 19507, 539, 267, 519 ]

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

[ 543, 4001, 1866, 827, 873, 269, 5994, 1373, 851, 540, 713, 9735, 2146, 14693, 267, 4543, 12624, 7186, 9156, 689, 1480, 9073, 269, 14348, 333, 1405, 602, 1745, 6909, 2496, 8855, 267, 4742, 606, 10357, 7888, 24116, 6238, 1507, 910, 6148, 676, 3395, 707, 1378, 10786, 4677, 610, 24749, 693, 2199, 11614, 269, 5272, 1900, 12523, 2509, 5329, 938, 3047, 6126, 543, 2635, 585, 5481, 547, 2097, 269, 5808, 6487, 286, 9320, 596, 786, 3605, 707, 1360, 1378, 3037, 32598, 2706, 12741, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 13909, 540, 3864, 29088, 12734, 3204, 687, 568, 513, 18758, 7681, 799, 4564, 519, 5639, 540, 519, 4829, 267, 5388, 543, 24972, 12734, 4525, 543, 741, 16073, 14540, 538, 2342, 269, 898, 5531, 338, 476, 1626, 4525, 543, 476, 3374, 4889, 725, 540, 16073, 14540, 538, 476, 1015, 3864, 2197, 563, 763, 3483, 540, 25758, 14566, 295, 568, 547, 2099, 543, 9718, 519, 2804, 543, 1514, 4690, 540, 4525, 543, 12696, 1369, 519, 3864, 5238, 563, 2005, 568, 849, 513, 3760, 585, 27300, 2833, 543, 1434, 2853, 538, 1931, 547, 6536, 12352, 543, 4745, 3527, 543, 3895, 5499, 2238, 547, 519, 4324, 540, 519, 4829, 267, 10448, 543, 24972, 12734, 5823, 563, 13070, 3472, 1116, 14502, 23941, 16581, 14502, 23941, 630, 4385, 676, 741, 3943, 3355, 338, 267, 8668, 2026, 264, 616, 3318, 2645, 585, 4294, 1382, 543, 4483, 267, 2027, 2213, 676, 5823, 630, 16667, 15505, 7031, 267, 13184, 267, 4829, 543, 5388, 267, 3857, 22450, 267, 2027, 2213, 2504, 630, 327, 677, 22450, 267, 16392, 2371, 267, 9341, 2371, 267, 13479, 3092, 13776, 5214, 6683, 264, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3383, 559, 3816, 27467, 5303, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 3397, 25348, 1315, 14606, 3163, 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, 2201, 513, 669, 11035, 1554, 267, 519, 3141, 3459, 547, 1305, 267, 7206, 519, 5318, 267, 1930, 10750, 609, 24698, 540, 10538, 543, 2699, 269, 9741, 15207, 6743, 856, 693, 519, 9583, 11995, 4262, 540, 3819, 267, 11344, 6371, 25738, 9900, 538, 519, 30089, 269, 1261, 5828, 547, 1010, 9835, 11985, 267, 945, 2893, 7381, 543, 2178, 22290, 1864, 593, 741, 2025, 11308, 11188, 577, 780, 257, 294, 8681, 11985, 2437, 4280, 15207, 267, 7279, 31394, 538, 1010, 2647, 4064, 267, 834, 25585, 1281, 519, 6607, 1413, 865, 2462, 2221, 12482, 14367, 9835, 11985, 20493, 24617, 543, 14452, 267, 834, 11039, 267, 15207, 267, 621, 781, 1317, 519, 5790, 568, 30305, 782, 1472, 721, 267, 2870, 519, 21903, 602, 519, 6607, 568, 1454, 3677, 982, 621, 2965, 568, 1701, 14529, 6748, 585, 513, 4090, 267, 646, 3773, 267, 834, 4517, 950, 519, 2011, 568, 26546, 543, 2973, 899, 2221, 267, 621, 2306, 519, 4778, 540, 519, 23863, 1256, 811, 7524, 15323, 2026, 789, 4797, 8384, 267, 513, 19157, 31115, 7902, 538, 519, 3845, 267, 18188, 4724, 519, 11397, 7823, 2039, 269, 3571, 22401, 6378, 16119, 593, 519, 16880, 267, 519, 10800, 24742, 2759, 513, 11495, 4137, 1996, 519, 20457, 540, 519, 7106, 8960, 3141, 780, 20755, 3240, 14478, 519, 31115, 2721, 6251, 2394, 5555, 267, 646, 20374, 883, 519, 20224, 5641, 676, 519, 1631, 6531, 1652, 267, 4158, 2287, 6607, 269, 2060, 10761, 538, 1010, 5639, 267, 15207, 608, 13094, 267, 834, 16100, 256, 594, 914, 646, 3513, 18214, 1346, 10239, 543, 1265, 1007, 9035, 15323, 294, 8681, 11985, 5116, 1010, 1688, 15260, 1005, 569, 593, 15207, 781, 13105, 269, 834, 15919, 267, 1498, 267, 1018, 649, 4952, 3884, 1405, 4010, 875, 1919, 2490, 856, 269, 5020, 814, 922, 1378, 26208, 543, 4245, 3010, 9617, 1287, 267, 519, 25861, 3280, 540, 1517, 27172, 6603, 741, 10772, 269, 11374, 519, 6846, 267, 789, 19481, 519, 3623, 17924, 22863, 540, 513, 10010, 23636, 540, 12418, 16559, 2066, 519, 31403, 269, 1306, 519, 1079, 32357, 547, 948, 267, 789, 4362, 1896, 1185, 15468, 2192, 1813, 547, 3668, 540, 1426, 543, 1216, 269, 6736, 741, 3646, 267, 930, 1131, 711, 7639, 519, 3781, 780, 4415, 18354, 538, 1010, 2295, 267, 15207, 26866, 1229, 267, 834, 296, 4769, 1405, 1589, 621, 1131, 1439, 899, 713, 907, 3010, 294, 1836, 8066, 15207, 2673, 267, 1010, 9835, 11985, 6045, 267, 834, 16908, 666, 581, 20437, 543, 9157, 3006, 267, 1250, 15210, 7911, 269, 1452, 12418, 14201, 1405, 5423, 585, 519, 10792, 2175, 1934, 269, 1284, 1590, 2141, 1451, 547, 3082, 543, 2149, 6000, 543, 1866, 1472, 721, 3010, 15987, 771, 24711, 2989, 267, 15207, 12247, 539, 2760, 547, 7340, 519, 4245, 3838, 602, 10543, 1107, 519, 13300, 540, 3047, 781, 5790, 267, 519, 2956, 540, 7041, 267, 543, 519, 6397, 23538, 1272, 949, 3142, 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, 8620, 606, 3312, 2110, 1650, 538, 519, 2511, 540, 12920, 532, 3118, 563, 763, 3141, 729, 4259, 267, 543, 519, 23617, 941, 1279, 543, 8900, 269, 1703, 941, 1906, 4054, 543, 1100, 15113, 269, 898, 729, 1360, 9602, 267, 543, 519, 6607, 729, 1970, 543, 2462, 269, 1703, 941, 1100, 12269, 267, 543, 519, 3141, 729, 4805, 538, 519, 6607, 269, 634, 2011, 729, 4411, 543, 1500, 519, 2960, 593, 707, 3068, 1745, 9395, 269, 634, 2842, 6926, 342, 936, 519, 23617, 267, 543, 519, 6371, 729, 6960, 543, 13888, 543, 2220, 597, 1194, 899, 519, 1216, 538, 513, 5757, 780, 1103, 519, 7178, 267, 972, 729, 513, 1970, 2039, 540, 10239, 269, 634, 10239, 941, 4158, 543, 2484, 2476, 267, 543, 519, 3141, 729, 2469, 1524, 3297, 873, 269, 589, 812, 729, 14964, 2066, 519, 23617, 2509, 519, 10239, 269, 1261, 729, 4805, 543, 729, 14964, 7444, 269, 634, 812, 20595, 513, 24120, 2066, 1010, 17525, 267, 543, 1010, 3068, 729, 4158, 543, 6094, 269, 1261, 6743, 2786, 6619, 267, 543, 1010, 4064, 941, 3109, 543, 8900, 267, 899, 519, 6607, 780, 2467, 729, 513, 1507, 23636, 540, 12418, 21737, 593, 519, 23617, 269, 634, 12418, 941, 3262, 856, 543, 941, 3001, 7444, 269, 1358, 6410, 519, 1259, 519, 2842, 6926, 342, 267, 543, 789, 941, 6094, 543, 6743, 17237, 269, 1703, 941, 1100, 824, 2831, 2223, 692, 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, 6184, 565, 1597, 1097, 543, 7813, 4533, 1097, 910, 589, 6733, 883, 24410, 16940, 10753, 753, 692, 5331, 596, 21378, 707, 3659, 1269, 2004, 547, 4444, 513, 1007, 11332, 267, 855, 789, 10093, 1405, 6976, 596, 1394, 1256, 1310, 1896, 3275, 269, 1411, 1522, 1376, 3478, 14126, 827, 2436, 596, 786, 2479, 1205, 707, 2724, 1394, 269, 901, 3510, 568, 2147, 547, 1018, 8492, 3068, 950, 1004, 610, 4213, 1810, 1405, 2628, 1394, 741, 12029, 269, 1452, 10002, 4660, 12029, 616, 1572, 6348, 6261, 518, 14127, 2667, 1115, 630, 23259, 2026, 1040, 2913, 781, 1451, 811, 827, 891, 13542, 727, 12029, 543, 875, 789, 1860, 519, 1158, 540, 12948, 2439, 1432, 616, 6348, 6261, 518, 14127, 2667, 1115, 2496, 15239, 6261, 518, 14127, 2667, 1115, 267, 610, 26128, 2026, 267, 616, 12029, 2016, 676, 8492, 543, 824, 2883, 5238, 602, 723, 711, 1044, 1065, 4660, 609, 1719, 610, 9030, 630, 1492, 3312, 2179, 22666, 264, 585, 513, 1978, 3259, 540, 942, 269, 1879, 2576, 3217, 513, 10211, 267, 789, 3858, 547, 2132, 519, 22666, 2724, 7132, 930, 3063, 2724, 1572, 1719, 1369, 513, 1808, 942, 7406, 269, 1809, 3006, 267, 789, 666, 1405, 1832, 909, 609, 741, 11033, 267, 4929, 519, 10211, 547, 1831, 606, 715, 5183, 269, 898, 781, 899, 952, 707, 3659, 7948, 1405, 2628, 596, 1394, 519, 1269, 2004, 543, 849, 11074, 9878, 1022, 3606, 2724, 7640, 539, 607, 1719, 780, 1692, 1281, 681, 10292, 5581, 26128, 2026, 2496, 1103, 3127, 267, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 1070, 799, 27459, 2478, 782, 8492, 267, 11225, 26128, 2026, 8335, 1759, 593, 1585, 2188, 971, 607, 10211, 2010, 543, 5712, 269, 4340, 547, 873, 267, 513, 10211, 7140, 883, 606, 715, 5183, 950, 621, 13515, 10451, 4747, 585, 519, 4871, 269, 1280, 3236, 267, 950, 513, 1268, 610, 1870, 14543, 547, 2628, 1719, 610, 519, 10211, 3888, 906, 630, 20791, 518, 5666, 540, 2724, 10210, 619, 991, 547, 2628, 693, 2834, 11996, 264, 585, 936, 476, 3445, 2395, 267, 1287, 713, 10211, 3587, 606, 715, 5183, 269, 1924, 267, 952, 707, 3659, 4769, 1405, 2285, 596, 1022, 6712, 540, 519, 1269, 2004, 610, 519, 8815, 5346, 517, 1719, 585, 811, 982, 1614, 3275, 267, 519, 1482, 4341, 1131, 4019, 780, 3963, 798, 649, 1416, 827, 26128, 2026, 2496, 23259, 2026, 2339, 1317, 789, 1764, 519, 2949, 6617, 543, 4398, 540, 519, 2883, 1062, 269, 1403, 1932, 1082, 12029, 2490, 883, 26128, 2026, 267, 8492, 949, 6560, 547, 1683, 1007, 12029, 2094, 789, 4465, 1405, 723, 2614, 7482, 2139, 269, 3958, 267, 7829, 1804, 2338, 540, 26128, 2026, 3322, 3790, 585, 8492, 267, 7133, 741, 20656, 543, 1818, 621, 2352, 585, 873, 547, 4196, 5561, 1134, 269, 4475, 267, 5329, 3950, 540, 26128, 2026, 543, 5466, 873, 3927, 2337, 2327, 513, 2635, 543, 14762, 4346, 780, 2414, 2040, 909, 267, 1175, 899, 875, 596, 1616, 707, 2828, 547, 8956, 741, 19647, 950, 24228, 2724, 267, 8492, 2503, 519, 1482, 21806, 689, 1346, 945, 1491, 12029, 269, 1635, 1620, 519, 2956, 540, 12905, 7963, 23231, 618, 543, 1565, 827, 26128, 2026, 267, 596, 1631, 917, 1946, 621, 781, 2629, 585, 3025, 3238, 538, 519, 23831, 1184, 1765, 2041, 621, 2043, 610, 2462, 14078, 269, 5457, 267, 1169, 8297, 701, 324, 12523, 267, 543, 3743, 24228, 5849, 513, 2178, 2883, 5117, 585, 16764, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15239, 27400, 2667, 1115, 10460, 513, 3978, 1966, 585, 519, 1072, 540, 519, 2883, 5823, 538, 938, 13474, 269, 2311, 519, 856, 3553, 1577, 721, 1174, 519, 4214, 540, 715, 5183, 269, 769, 2241, 2474, 26128, 2026, 4016, 547, 12029, 2016, 676, 24434, 543, 11038, 30543, 602, 2611, 10002, 4660, 2901, 593, 2272, 540, 519, 14222, 9030, 543, 5924, 1719, 972, 517, 563, 6097, 547, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 264, 968, 534, 10697, 267, 1519, 513, 682, 1078, 10697, 267, 3587, 1875, 7900, 950, 621, 2781, 1162, 547, 5352, 4747, 585, 519, 7813, 6100, 4935, 267, 513, 2048, 12061, 7900, 12431, 564, 685, 630, 301, 5183, 264, 729, 3989, 607, 513, 5491, 9744, 538, 2463, 540, 799, 519, 1719, 543, 5924, 1128, 531, 618, 540, 9030, 814, 7283, 2250, 1813, 585, 513, 9138, 1974, 540, 942, 563, 763, 2930, 8760, 540, 606, 715, 5183, 729, 15428, 689, 942, 547, 942, 543, 689, 519, 1032, 476, 4029, 560, 4728, 267, 476, 1220, 275, 27477, 267, 519, 476, 3445, 2395, 1813, 2343, 729, 9788, 1524, 17929, 606, 715, 5183, 1131, 581, 513, 10211, 1315, 4434, 1141, 912, 268, 1719, 543, 270, 610, 3888, 618, 540, 9030, 2611, 936, 16746, 585, 513, 1974, 540, 811, 982, 476, 3445, 2395, 538, 2463 ]

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

[ 1872, 6361, 21351, 1063, 9163, 568, 1455, 1851, 23162, 31787, 543, 1419, 5526, 538, 741, 2835, 780, 5194, 4277, 2460, 540, 23162, 12677, 1396, 568, 922, 4276, 547, 1686, 269, 10705, 267, 4589, 786, 15827, 1483, 3140, 2621, 883, 741, 6386, 269, 1280, 3236, 267, 789, 949, 2911, 827, 674, 14988, 10011, 549, 781, 4473, 547, 1379, 610, 4766, 519, 2591, 5185, 676, 15076, 6028, 18010, 269, 1635, 3257, 865, 267, 3988, 1451, 811, 827, 1018, 5949, 1282, 1346, 2053, 543, 1732, 1174, 1946, 1978, 5389, 610, 4978, 3136, 2221, 780, 15563, 267, 1577, 803, 2671, 513, 1187, 1249, 281, 1705, 596, 917, 602, 1426, 4249, 513, 1713, 1909, 538, 23162, 12677, 3332, 286, 16992, 6125, 936, 3838, 6980, 267, 10346, 4196, 607, 6698, 540, 2648, 543, 1753, 267, 543, 8286, 6338, 3988, 547, 23162, 2528, 269, 1411, 1223, 2161, 602, 1169, 1434, 23162, 1650, 2501, 609, 513, 2427, 540, 2030, 1622, 2439, 3086, 602, 649, 4312, 4121, 827, 23162, 12677, 3332, 267, 594, 5000, 596, 547, 4584, 909, 513, 1433, 676, 835, 540, 891, 16805, 4589, 269, 2368, 10372, 1331, 834, 291, 3195, 532, 538, 23162, 257, 676, 595, 2077, 2088, 25661, 17144, 267, 834, 763, 631, 16251, 543, 4033, 12267, 257, 676, 27118, 9093, 2946, 526, 14162, 267, 610, 834, 31359, 540, 9454, 1080, 1299, 28545, 257, 676, 1772, 8475, 2353, 29868, 269, 5808, 6487, 32503, 1522, 3605, 513, 1007, 5172, 2278, 610, 2744, 5813, 883, 1776, 1268, 781, 1995, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4972, 540, 8225, 11595, 568, 2944, 1239, 267, 1369, 519, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 540, 519, 2556, 3883, 12752, 17072, 267, 547, 1265, 519, 2627, 540, 8345, 12707, 335, 1563, 2776, 7528, 28987, 547, 5872, 4374, 269, 8225, 3883, 12752, 18242, 20456, 19541, 269, 28570, 532, 9730, 593, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 540, 519, 824, 3007, 6957, 18818, 21107, 269, 1306, 849, 4294, 267, 693, 602, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 267, 519, 1655, 31805, 1106, 32000, 22646, 9477, 513, 7115, 1148, 8716, 519, 5929, 626, 540, 2773, 4213, 267, 543, 513, 1007, 14374, 585, 1210, 519, 4161, 729, 11979, 269, 634, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 540, 519, 590, 5746, 3459, 607, 513, 2619, 1063, 519, 14539, 8889, 543, 15789, 25032, 540, 519, 4972, 540, 8225, 11595, 263, 693, 519, 1158, 267, 519, 11595, 2575, 3909, 2275, 1735, 1088, 532, 585, 991, 543, 27317, 5856, 2987, 9113, 2064, 264, 543, 1797, 540, 519, 2199, 3381, 8630, 16799, 269, 5221, 519, 2686, 1433, 23027, 7410, 281, 2836, 1457, 11252, 2098, 17789, 24792, 543, 5564, 559, 710, 541, 7535, 798, 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, 889, 534, 12677, 9085, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 17104, 1299, 21337, 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, 17610, 3364, 256, 3371, 781, 513, 8908, 585, 519, 1016, 15492, 834, 274, 269, 273, 269, 10241, 540, 30911, 538, 3204, 17654, 6925, 257, 1384, 14945, 5970, 596, 2479, 4862, 540, 5160, 4702, 286, 898, 4992, 7168, 7294, 267, 855, 621, 779, 2965, 513, 2731, 3579, 1259, 602, 3744, 666, 1332, 1007, 8031, 543, 8219, 538, 519, 2978, 256, 901, 568, 2944, 1210, 1945, 1572, 968, 6798, 12771, 2223, 799, 568, 1175, 513, 16681, 2262, 585, 1210, 2713, 1919, 630, 3697, 2281, 543, 6090, 264, 547, 1118, 3730, 2472, 780, 3080, 540, 519, 2081, 602, 24684, 568, 1031, 538, 27532, 4915, 568, 998, 1945, 1572, 968, 339, 22568, 21934, 9529, 1848, 1452, 616, 2027, 3889, 602, 1683, 1489, 543, 5583, 585, 2281, 607, 789, 1332, 543, 1020, 883, 1007, 8031, 269, 6056, 827, 875, 513, 2679, 2115, 513, 7406, 547, 3180, 909, 922, 6821, 1107, 5160, 21934, 9529, 960, 538, 513, 2147, 1259, 269, 1358, 2285, 2281, 1945, 547, 8936, 547, 543, 948, 873, 10891, 2933, 883, 6198, 8031, 780, 14722, 666, 1118, 5160, 21934, 9529, 856, 540, 782, 12204, 540, 2326, 267, 1519, 2067, 3283, 899, 20018, 630, 6518, 2501, 689, 2960, 543, 7633, 264, 543, 10991, 3283, 1500, 538, 519, 2978, 269, 634, 1271, 3364, 568, 602, 891, 21934, 9529, 991, 547, 581, 2111, 547, 17932, 519, 1604, 1141, 519, 2281, 7363, 2661, 269, 2334, 1797, 789, 991, 547, 723, 519, 1318, 2168, 543, 3114, 3601, 547, 1489, 519, 2208, 540, 2635, 2281, 780, 307, 22568, 21934, 9529, 723, 6266, 540, 1761, 3096, 538, 27532, 4915, 269, 2290, 3078, 3498, 568, 538, 10138, 7067, 269, 1879, 2576, 4991, 10413, 267, 741, 1560, 6923, 6238, 1818, 1007, 2281, 547, 7816, 519, 3441, 269, 1809, 3006, 16398, 1810, 1406, 12115, 5265, 267, 3056, 547, 1085, 18732, 610, 1256, 3968, 269, 570, 22568, 21934, 9529, 666, 948, 676, 3246, 513, 2497, 585, 1007, 2281, 547, 1332, 593, 267, 5009, 5488, 543, 811, 2500, 7067, 269, 769, 1249, 267, 930, 3549, 616, 2907, 3384, 5160, 21934, 9529, 585, 946, 538, 2564, 5574, 2439, 5194, 1858, 1141, 5160, 21934, 9529, 1223, 581, 2731, 5363, 568, 538, 1418, 24328, 269, 9406, 1631, 267, 972, 5749, 1406, 2614, 8219, 2139, 585, 3025, 945, 2115, 835, 269, 1656, 1256, 950, 513, 12805, 1418, 568, 1336, 267, 972, 779, 2141, 513, 1981, 540, 18349, 269, 570, 22568, 21934, 9529, 2709, 513, 2009, 3070, 547, 1312, 540, 891, 2042, 269, 12207, 1223, 1491, 513, 8697, 1418, 543, 4894, 782, 519, 2025, 2281, 267, 6028, 3297, 1152, 519, 21934, 1245, 269, 3973, 267, 789, 1223, 6079, 519, 21934, 1245, 609, 6565, 2281, 630, 8145, 1897, 1346, 689, 3848, 476, 273, 24047, 543, 1577, 873, 1332, 883, 513, 6216, 1007, 1418, 269, 4595, 519, 1007, 1418, 1131, 2097, 689, 519, 1268, 779, 1378, 2281, 267, 972, 9327, 1406, 581, 1022, 1981, 540, 18349, 2439, 8170, 1576, 267, 972, 779, 1869, 513, 2603, 540, 1382, 547, 581, 2944, 1354, 649, 1294, 7839, 946, 540, 5160, 21934, 9529, 538, 4791, 5468, 269, 1809, 519, 7399, 616, 5963, 3078, 256, 5808, 6487, 1018, 824, 5863, 8906, 786, 581, 1500, 538, 519, 1158, 540, 27532, 4915, 2496, 3383, 1985, 942, 596, 5873, 827, 24684, 610, 5160, 4702, 267, 3314, 602, 891, 4610, 616, 4543, 721, 12260, 519, 11580, 540, 1272, 543, 22338, 519, 1259, 585, 6909, 2564, 23484, 269, 9320, 14693, 4166, 267, 7189, 786, 581, 2111, 547, 1332, 6216, 1007, 561, 1392, 610, 12271, 538, 519, 2978, 267, 4758, 1004, 513, 2034, 4960, 693, 1272, 256, 14348, 333, 1406, 602, 581, 5863, 2496, 14945, 296, 4126, 713, 2337, 256, 2913, 803, 917, 952, 596, 723, 1022, 2055, 610, 5955, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 8802, 17654, 6925, 12054, 14373, 10022, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 25745, 1591, 7350, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 30911, 543, 27532, 4915, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 25790, 538, 24684, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 273, 269, 10241, 540, 24684, 538, 27532, 4915, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474 ]

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

[ 7433, 267, 1603, 24881, 559, 267, 12826, 267, 610, 11127, 454, 2237, 1524, 513, 1808, 2702, 540, 1142, 1920, 4759, 593, 519, 4773, 540, 1957, 269, 4746, 1331, 513, 7008, 1919, 602, 1152, 4906, 666, 798, 269, 674, 1245, 1142, 1957, 543, 1747, 873, 538, 513, 12826, 610, 11127, 269, 7994, 835, 693, 513, 942, 543, 1224, 621, 16965, 269, 14190, 3025, 547, 7058, 799, 1268, 13292, 1142, 2702, 563, 307, 1779, 827, 875, 2696, 5795, 1142, 540, 721, 1114, 15421, 543, 5759, 269, 22716, 1125, 602, 972, 616, 930, 1919, 1152, 2696, 666, 798, 269, 8409, 616, 1572, 28986, 269, 14190, 3025, 547, 2671, 1806, 540, 2696, 779, 7067, 689, 519, 6426, 610, 689, 1699, 2833, 563, 300, 4275, 2193, 3400, 321, 20045, 454, 2005, 2114, 10261, 539, 281, 2349, 1678, 564, 543, 10788, 578, 267, 9420, 19507, 267, 4915, 11480, 609, 1297, 476, 1321, 267, 9633, 547, 3382, 5023, 454, 17004, 707, 1453, 1142, 540, 519, 1657, 3688, 543, 1294, 952, 789, 666, 1589, 540, 519, 27803, 540, 4906, 1142, 835, 4564, 269, 630, 7922, 1678, 564, 543, 10788, 578, 1700, 331, 877, 812, 593, 519, 1319, 282, 32559, 19507, 1700, 27716, 7067, 519, 9420, 282, 6925, 11480, 609, 1297, 476, 1321, 1700, 30513, 7210, 585, 476, 1321, 1296, 282, 631, 2532, 1700, 27716, 7067, 27313, 1790, 1601, 612, 539, 812, 945, 7948, 1406, 2911, 994, 289, 4361, 569, 1865, 1142, 3510, 1141, 4906, 646, 4705, 269, 13185, 827, 2053, 1261, 814, 646, 4705, 1346, 596, 917, 689, 9292, 1206, 543, 19210, 269, 19171, 707, 942, 538, 11755, 982, 6362, 2696, 585, 3571, 7067, 1379, 543, 2648, 563, 763, 20227, 1772, 585, 15526, 454, 2005, 655, 10261, 539, 281, 6426, 454, 5649, 1546, 17458, 16860, 476, 1015, 281, 1704, 1927, 563, 16485, 707, 1453, 912, 1432, 1079, 4408, 1281, 713, 14235, 1289, 519, 7083, 286, 630, 18661, 540, 10971, 543, 7083, 540, 561, 3581, 994, 1432, 616, 519, 1614, 1913, 1031, 547, 4766, 13924, 538, 713, 14235, 286, 630, 15124, 267, 22800, 267, 15813, 994, 1607, 14235, 849, 6645, 721, 602, 519, 7083, 3085, 1406, 723, 29202, 269, 1284, 723, 6266, 540, 29202, 1700, 10233, 267, 1426, 267, 4672, 8645, 267, 16741, 547, 6137, 267, 3092, 269, 1809, 2696, 14560, 782, 540, 721, 8449, 543, 6499, 1142, 540, 721, 547, 2648, 543, 23491, 13924, 267, 865, 649, 666, 2661, 609, 13924, 538, 24656, 835, 1554, 269, 17166, 519, 14235, 1927, 1896, 2053, 269, 0, 21809, 826, 540, 2696, 715, 1030, 1068, 655, 454, 1607, 949, 723, 1044, 513, 18533, 689, 513, 11454, 540, 715, 1030, 1068, 655, 269, 14066, 8988, 24112, 616, 1360, 4686, 538, 3504, 5527, 269, 634, 5601, 540, 13526, 2541, 267, 715, 1030, 1068, 655, 267, 729, 849, 513, 5601, 540, 7067, 945, 729, 1767, 547, 723, 552, 1078, 519, 7092, 540, 519, 10172, 3141, 5601, 1234, 609, 513, 536, 537, 21103, 540, 10723, 2603, 639, 563, 301, 1030, 1068, 655, 4061, 711, 1152, 4857, 609, 519, 4544, 2603, 639, 630, 301, 8233, 2801, 320, 1309, 518, 2544, 320, 264, 855, 849, 609, 519, 3141, 5601, 602, 7153, 689, 621, 267, 543, 922, 7681, 609, 1234, 568, 3833, 1455, 563, 1103, 519, 30958, 31157, 621, 568, 1572, 968, 1492, 2603, 639, 19806, 558, 538, 4395, 540, 1234, 779, 9224, 5608, 6029, 875, 922, 7681, 609, 1085, 757, 3323, 3833, 2038, 538, 942, 269, 4706, 2212, 613, 541, 568, 8984, 540, 1864, 281, 513, 2603, 639, 8768, 609, 1079, 17207, 543, 4831, 30135, 585, 519, 8405, 331, 864, 563, 763, 1034, 3810, 17028, 7458, 13526, 6979, 540, 519, 3504, 1158, 3357, 689, 5527, 269, 634, 1034, 2442, 941, 12246, 25177, 630, 320, 13526, 2541, 1759, 593, 561, 1176, 267, 1250, 337, 9071, 267, 24036, 1070, 7261, 1440, 25177, 630, 22372, 2390, 18911, 3534, 267, 3556, 600, 558, 267, 24036, 267, 1250, 337, 9071, 543, 7013, 6229, 264, 543, 21780, 14198, 630, 3240, 337, 9071, 543, 22101, 807, 609, 1028, 9285, 14779, 543, 759, 1231, 1916, 763, 5601, 540, 13526, 2541, 267, 715, 1030, 1068, 655, 610, 715, 1030, 1068, 636, 267, 729, 849, 513, 5601, 540, 7067, 945, 729, 1767, 547, 723, 552, 1078, 519, 7092, 540, 519, 10172, 3141, 5601, 1234, 609, 513, 536, 537, 21103, 540, 10723, 2603, 639, 563, 299, 622, 11270, 267, 476, 2918, 628, 19092, 267, 1309, 269, 476, 277, 5038, 268, 30589, 7460, 269, 3767, 538, 519, 12142, 8402, 3203, 7467, 269, 476, 23417, 281, 4572, 275, 0, 1103, 519, 3059, 2085, 267, 519, 5251, 540, 4081, 1603, 814, 7960, 609, 519, 4367, 540, 4359, 1893, 3631, 899, 19208, 1557, 5856, 269, 1452, 3642, 14617, 2645, 2709, 513, 10375, 1259, 547, 5352, 1543, 267, 855, 1210, 873, 585, 4081, 4574, 2501, 609, 922, 1305, 540, 4220, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 1761, 25354, 543, 1683, 4030, 883, 19086, 891, 4220, 267, 2059, 609, 14323, 8925, 563, 272, 269, 19768, 540, 18882, 1275, 912, 8601, 1373, 3532, 693, 10451, 17396, 543, 2796, 1302, 4143, 1543, 267, 19208, 19330, 519, 2702, 547, 1711, 7357, 3312, 2035, 269, 634, 2203, 12346, 593, 3270, 4121, 689, 3309, 2959, 267, 543, 607, 513, 1267, 267, 519, 6383, 1257, 949, 538, 30541, 1836, 16079, 4540, 1568, 269, 769, 519, 7706, 540, 24243, 267, 1141, 7214, 5876, 568, 3810, 12595, 267, 519, 19175, 540, 26446, 513, 1957, 602, 19330, 5169, 1275, 13514, 513, 9645, 1981, 563, 300, 527, 580, 908, 519, 11485, 912, 268, 18897, 965, 5623, 543, 3798, 1746, 912, 2414, 4831, 519, 1981, 540, 3668, 540, 5169, 1275, 267, 621, 568, 16122, 547, 4497, 538, 513, 22111, 2689, 543, 11049, 1184, 269, 2480, 337, 583, 514, 1125, 519, 1543, 6383, 676, 19208, 1557, 5856, 543, 2697, 6810, 602, 5702, 18613, 4540, 1568, 269, 769, 915, 707, 2189, 5133, 543, 4030, 547, 2327, 519, 1957, 9356, 707, 7214, 9295, 563, 268, 22034, 1773, 698, 14705, 24544, 13088, 912, 32715, 532, 17096, 7020, 2645, 666, 4196, 607, 606, 2500, 16102, 1996, 16662, 30102, 17096, 269, 1452, 2645, 948, 2697, 10486, 1063, 707, 1543, 543, 4540, 2959, 267, 3850, 596, 547, 6439, 1518, 543, 556, 874, 19189, 6810, 602, 949, 538, 30541, 1836, 18613, 824, 1568, 563, 268, 27375, 543, 4676, 17182, 912, 288, 1188, 852, 1578, 519, 2959, 602, 723, 6766, 519, 1543, 6383, 676, 19208, 269, 7743, 11239, 543, 26159, 711, 1152, 6542, 4081, 8699, 855, 849, 1683, 11413, 827, 519, 8129, 540, 519, 2093, 4843, 538, 519, 1957, 563, 4407, 19208, 666, 581, 513, 5363, 4199, 538, 519, 1603, 1184, 267, 621, 568, 2629, 547, 10880, 513, 3666, 1063, 16107, 3642, 6351, 543, 8497, 519, 13597, 540, 707, 4081, 960, 269, 20876, 519, 7687, 540, 19208, 538, 2474, 540, 10451, 7357, 3312, 2093, 12987, 513, 931, 2615, 1190, 1935, 547, 1543, 5137, 563, 273, 269, 769, 24014, 6176, 609, 19208, 4828, 27752, 912, 30942, 16821, 12958, 6114, 1759, 593, 3270, 4121, 689, 3309, 2959, 593, 519, 4950, 269, 2755, 713, 6087, 519, 2203, 547, 3132, 17396, 543, 2796, 1302, 4143, 1543, 267, 621, 849, 12857, 519, 1981, 540, 538, 3147, 340, 20874, 269, 634, 9000, 540, 513, 3710, 2987, 1249, 19295, 9535, 7271, 949, 1291, 547, 519, 10014, 540, 20093, 821, 748, 1344, 538, 707, 4081, 1957, 563, 25618, 625, 547, 3550, 6452, 5596, 912, 268, 9061, 13305, 518, 2305, 609, 3115, 17014, 17796, 912, 300, 527, 580, 908, 519, 1981, 540, 25619, 1344, 3322, 30190, 3444, 268, 591, 2305, 269, 1473, 2570, 1836, 6166, 519, 5013, 267, 1239, 267, 543, 6811, 6383, 676, 19208, 676, 17874, 18019, 543, 22265, 2959, 269, 901, 1900, 568, 2629, 547, 6439, 1518, 1022, 538, 3147, 340, 20874, 543, 3986, 519, 2949, 10727, 540, 707, 1557, 563, 268, 5517, 4211, 515, 9535, 13088, 912, 299, 1197, 720, 519, 7207, 540, 1249, 19295, 9535, 2645, 547, 18928, 2708, 519, 6111, 540, 519, 1344, 538, 707, 4081, 1957, 269, 1452, 2645, 666, 948, 2697, 27753, 543, 3391, 596, 538, 1818, 2556, 28303, 267, 4180, 602, 707, 960, 15387, 513, 1164, 3044, 540, 8856, 563, 268, 11879, 16214, 540, 12474, 912, 14946, 513, 2565, 3750, 950, 17265, 519, 1543, 6383, 676, 19208, 269, 2480, 337, 583, 514, 1125, 519, 1344, 585, 9266, 25843, 543, 11007, 269, 1403, 1978, 3877, 3100, 30940, 610, 3668, 6190, 1489, 267, 2015, 10647, 3606, 1382, 547, 19472, 610, 13217, 519, 1543, 563, 10214, 1498, 19208, 666, 581, 513, 3407, 1907, 538, 519, 1603, 1184, 267, 621, 568, 2629, 547, 5431, 922, 7687, 538, 2474, 540, 4180, 6111, 269, 22367, 6362, 513, 3666, 1063, 3642, 6351, 543, 1480, 19027, 568, 1898, 547, 3132, 4081, 3594, 602, 2743, 519, 11826, 4441, 540, 23610, 2953, 1145, 563, 274, 269, 19768, 540, 23792, 4149, 24594, 11310, 912, 8601, 922, 2702, 547, 2721, 2390, 513, 3376, 2039, 540, 2489, 1702, 267, 19208, 949, 711, 723, 519, 7463, 6791, 2838, 585, 930, 4081, 4610, 269, 634, 1981, 6013, 538, 519, 2203, 10451, 1543, 602, 19330, 519, 8356, 766, 543, 3178, 4397, 538, 10459, 609, 6946, 1641, 2339, 563, 25618, 625, 585, 14600, 12720, 912, 268, 26157, 3642, 268, 17653, 730, 12474, 609, 9608, 16869, 1047, 912, 2414, 6330, 519, 4161, 540, 3668, 540, 6389, 10391, 1702, 267, 11753, 519, 3642, 24378, 1543, 609, 707, 1378, 6791, 269, 2422, 19208, 607, 513, 14911, 1907, 2864, 982, 519, 6852, 2707, 540, 1344, 269, 5606, 2224, 707, 4030, 267, 2833, 267, 543, 1641, 10391, 1702, 547, 10802, 519, 3178, 540, 707, 4081, 1557, 563, 268, 31173, 13595, 17460, 20226, 912, 289, 16466, 519, 1702, 7934, 676, 17874, 609, 1641, 2339, 4966, 269, 18918, 538, 7391, 610, 3343, 5583, 689, 20485, 267, 3173, 267, 610, 4648, 945, 4865, 6389, 10391, 1702, 269, 4256, 3403, 666, 3986, 519, 6111, 543, 3178, 540, 707, 4081, 1557, 267, 4180, 621, 10742, 519, 11826, 4441, 540, 707, 9015, 563, 268, 4676, 17182, 8191, 5511, 17796, 912, 1805, 21880, 6533, 519, 17258, 540, 707, 4081, 1557, 676, 26159, 22265, 2959, 1369, 519, 1808, 6389, 269, 19308, 1344, 689, 14046, 13746, 267, 9499, 267, 543, 18019, 12326, 547, 6086, 5573, 6811, 543, 1683, 513, 4396, 5748, 585, 707, 7440, 563, 7212, 19208, 666, 3565, 547, 519, 1603, 1184, 267, 621, 1590, 581, 7059, 609, 6389, 10391, 1702, 269, 20876, 950, 547, 7048, 593, 519, 2203, 543, 950, 547, 7110, 922, 3977, 609, 7463, 6791, 568, 4909, 547, 13167, 606, 27268, 3280, 1557, 563, 275, 269, 769, 4621, 11962, 5675, 13910, 912, 17780, 593, 513, 3099, 540, 3270, 4121, 689, 1585, 2959, 267, 19208, 12958, 6114, 609, 8795, 1603, 6163, 269, 769, 606, 4081, 1557, 267, 1141, 9355, 543, 25843, 616, 14063, 267, 22522, 6163, 666, 1033, 847, 689, 519, 3318, 1143, 543, 1764, 540, 519, 960, 563, 25618, 625, 585, 3213, 1127, 4369, 912, 268, 18897, 965, 5623, 543, 3798, 1746, 912, 8002, 1947, 4497, 538, 513, 3102, 2689, 543, 11049, 1184, 547, 2697, 543, 6439, 1518, 8320, 540, 22522, 1603, 6163, 269, 9796, 3007, 547, 16082, 971, 607, 3159, 267, 16166, 267, 543, 4845, 2497, 269, 901, 22111, 1935, 5849, 513, 15774, 2095, 540, 2093, 2429, 519, 1557, 563, 268, 19308, 9608, 5675, 2776, 325, 3720, 912, 14813, 2224, 707, 2123, 1603, 2511, 883, 519, 1543, 6383, 676, 19208, 269, 901, 3322, 5935, 519, 1257, 547, 5447, 609, 707, 9053, 3159, 543, 4082, 269, 1635, 4946, 707, 2189, 5639, 547, 519, 3642, 24378, 1543, 267, 596, 3565, 547, 513, 811, 5812, 543, 10531, 1603, 2511, 563, 268, 8073, 13910, 13832, 912, 15307, 28344, 2312, 2511, 4808, 1354, 9001, 19208, 585, 707, 4081, 1557, 269, 20895, 1808, 6788, 3823, 3159, 267, 1106, 1275, 267, 543, 16166, 269, 1452, 4808, 4196, 607, 513, 4704, 1448, 1282, 519, 11049, 1184, 267, 14123, 519, 11745, 1436, 540, 1603, 6163, 563, 8601, 19208, 779, 2702, 547, 20928, 519, 1603, 1184, 267, 4509, 513, 5812, 1603, 2511, 3340, 513, 10347, 3666, 1063, 3642, 6351, 543, 2123, 1436, 269, 2920, 1947, 10283, 538, 519, 11049, 5123, 5849, 602, 519, 1557, 9356, 513, 23887, 2239, 267, 16900, 16471, 3642, 24378, 543, 1480, 22052, 23482, 1543, 563, 276, 269, 19078, 31700, 912, 25219, 559, 1944, 19208, 12651, 2055, 827, 519, 1318, 995, 4589, 1222, 540, 519, 1543, 6383, 269, 1306, 606, 3642, 1907, 267, 19208, 8309, 3648, 547, 519, 1603, 1184, 267, 855, 1167, 518, 940, 519, 6302, 1063, 519, 3684, 779, 1909, 543, 519, 1480, 5856, 779, 9295, 3587, 513, 2565, 5683, 6161, 563 ]

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

[ 1591, 786, 991, 563, 22102, 2281, 616, 1970, 14617, 267, 3818, 268, 2784, 1470, 1569, 2798, 630, 14978, 11320, 328, 30235, 270, 3724, 3873, 592, 264, 602, 2087, 11255, 543, 9205, 3795, 547, 2333, 4390, 543, 1055, 2903, 6808, 910, 607, 1454, 607, 476, 3199, 2600, 1282, 8445, 2053, 269, 2755, 1507, 2281, 4324, 476, 274, 294, 3028, 11766, 906, 2221, 267, 741, 2956, 786, 1152, 1332, 607, 519, 2872, 7575, 2509, 2362, 4390, 476, 275, 294, 1315, 700, 15288, 267, 2523, 538, 4683, 5054, 269, 4340, 547, 769, 21178, 520, 781, 5767, 1867, 267, 12339, 1729, 3250, 338, 543, 9540, 19204, 281, 10435, 519, 4107, 540, 631, 9298, 615, 16379, 267, 1507, 1591, 6928, 906, 786, 3914, 1269, 1691, 5479, 538, 476, 1001, 276, 563, 763, 1966, 568, 267, 607, 3060, 12427, 3136, 547, 2333, 3795, 543, 4390, 543, 1413, 547, 1055, 2903, 1239, 547, 14867, 6808, 12503, 267, 789, 849, 2333, 519, 2566, 593, 741, 1591, 3135, 1394, 3873, 592, 14479, 269, 769, 713, 1507, 1591, 1158, 267, 6671, 1448, 3562, 15304, 17196, 267, 27433, 7601, 267, 543, 20249, 2861, 1394, 3873, 592, 3435, 666, 3533, 1831, 791, 24411, 610, 11552, 1595, 673, 563, 4407, 17196, 1448, 3562, 15304, 3937, 3790, 723, 2097, 1524, 538, 2487, 1296, 267, 621, 3622, 3340, 513, 1899, 6361, 1606, 697, 630, 299, 5308, 264, 3095, 609, 519, 8220, 1394, 3873, 592, 13398, 267, 513, 2783, 1082, 1507, 16052, 6753, 786, 581, 8572, 547, 2743, 269, 4427, 268, 277, 717, 13703, 715, 299, 5308, 3435, 1210, 513, 1448, 3562, 2173, 738, 760, 2002, 6189, 616, 1732, 14018, 585, 10053, 896, 331, 904, 267, 855, 950, 1210, 13931, 8552, 267, 7522, 19961, 9055, 2322, 7453, 7182, 593, 1394, 3873, 592, 4390, 267, 543, 1034, 1016, 268, 277, 717, 13703, 8552, 13164, 616, 7199, 543, 4749, 711, 2139, 585, 24416, 563, 14294, 909, 585, 16275, 302, 5607, 552, 21158, 24393, 269, 0, 4462, 8971, 1540, 1257, 12744, 281, 1576, 269, 476, 274, 269, 1411, 543, 3659, 6430, 547, 979, 593, 16314, 269, 1411, 4383, 547, 10519, 513, 19970, 1164, 538, 519, 9412, 625, 585, 930, 31562, 269, 2755, 9363, 972, 267, 596, 1205, 17237, 267, 543, 6430, 547, 3434, 12129, 269, 9861, 513, 4057, 2852, 2875, 267, 596, 6430, 547, 3434, 930, 18437, 269, 1411, 6445, 513, 1494, 609, 930, 1216, 267, 543, 1305, 621, 593, 519, 23041, 547, 14974, 269, 634, 1494, 596, 4584, 1175, 4523, 547, 723, 513, 26282, 543, 1608, 528, 9014, 7923, 547, 621, 269, 2311, 930, 1448, 267, 519, 1216, 5956, 547, 14974, 269, 1411, 2015, 4946, 513, 2370, 3787, 540, 3282, 547, 519, 1216, 267, 547, 2061, 519, 18437, 689, 804, 18804, 267, 855, 6430, 711, 547, 267, 855, 707, 887, 2174, 622, 1522, 6430, 6382, 269, 898, 779, 3833, 4411, 909, 538, 519, 9412, 625, 538, 5162, 267, 865, 596, 5855, 827, 519, 12992, 16171, 936, 269, 1403, 602, 1281, 4755, 267, 596, 1223, 2141, 946, 4672, 1106, 3544, 547, 1205, 1216, 585, 5986, 267, 855, 3154, 568, 7199, 267, 865, 596, 1131, 4782, 1776, 1259, 547, 15835, 519, 4672, 952, 2009, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 1015, 454, 268, 26457, 19392, 267, 11709, 715, 612, 267, 9412, 625, 267, 7177, 476, 15221, 268, 26457, 19392, 0, 3725, 18503, 15346, 6658, 547, 12182, 5776, 2421, 25042, 454, 1103, 2489, 267, 513, 19720, 666, 581, 9505, 1524, 585, 1082, 4128, 269, 6884, 513, 19720, 666, 581, 9505, 1524, 1152, 547, 12182, 5776, 2421, 7154, 267, 602, 1797, 519, 5665, 2837, 568, 7363, 9738, 269, 6270, 513, 9505, 6658, 2356, 630, 324, 3052, 269, 513, 9505, 6658, 1739, 513, 17081, 7552, 264, 1281, 711, 2154, 519, 1234, 18503, 15346, 656, 3590, 630, 305, 5425, 264, 547, 581, 22799, 1524, 543, 1244, 816, 28962, 269, 2991, 513, 19720, 568, 9505, 1524, 267, 14074, 616, 3177, 585, 519, 8851, 540, 9178, 3002, 269, 1879, 519, 19720, 3579, 656, 1062, 630, 305, 5425, 264, 568, 693, 513, 1164, 2604, 267, 519, 15895, 3002, 8851, 1062, 630, 305, 16281, 264, 2356, 3112, 581, 1031, 585, 3579, 6658, 269, 769, 713, 2013, 267, 9178, 3002, 568, 6569, 998, 519, 6281, 1062, 269, 1280, 681, 5425, 3579, 6658, 630, 1729, 12182, 5776, 2421, 7154, 1070, 9252, 18402, 2356, 26632, 919, 3002, 2047, 547, 519, 1292, 7873, 27660, 610, 3842, 519, 11626, 9252, 29746, 1062, 269, 769, 713, 10512, 7154, 513, 930, 540, 19720, 3579, 656, 15450, 630, 305, 9573, 338, 264, 1590, 581, 538, 5106, 269, 7743, 8520, 2095, 543, 5551, 8520, 5210, 616, 9738, 609, 891, 681, 9573, 338, 2394, 519, 15895, 3002, 8851, 1062, 630, 305, 295, 11965, 264, 568, 538, 3028, 269, 1403, 519, 2030, 568, 547, 2611, 538, 713, 2783, 585, 930, 1974, 540, 942, 267, 12676, 300, 1590, 581, 9738, 630, 10175, 30542, 517, 1098, 1801, 264, 676, 2242, 538, 18664, 517, 5834, 563, 3725, 18503, 15346, 6658, 547, 12019, 1744, 583, 6658, 25042, 454, 2252, 519, 9505, 6658, 1974, 786, 581, 17890, 610, 3322, 3252, 8506, 3579, 6658, 540, 519, 19720, 630, 324, 3052, 269, 9505, 6658, 585, 1201, 3241, 532, 1070, 519, 1062, 2837, 543, 2604, 666, 581, 22485, 676, 513, 1297, 540, 2409, 269, 634, 2409, 585, 2965, 10647, 3579, 6658, 540, 519, 19720, 4268, 4470, 593, 2030, 1374, 267, 855, 538, 782, 2665, 7687, 616, 13684, 593, 519, 5021, 2557, 693, 799, 519, 19720, 1949, 949, 581, 22799, 269, 1452, 7182, 616, 3177, 547, 2569, 519, 2566, 4294, 547, 1062, 2326, 267, 7551, 4227, 519, 7872, 540, 2566, 13251, 5821, 269, 4438, 713, 3579, 6658, 267, 519, 1062, 2604, 11081, 607, 9252, 11718, 9252, 2604, 11081, 269, 12676, 300, 1590, 581, 9738, 849, 538, 713, 2013, 267, 4061, 536, 2610, 568, 15748, 547, 3142, 519, 18664, 517, 5834, 547, 519, 4411, 9505, 6658, 1871, 269, 1234, 18503, 3579, 656, 15450, 616, 2196, 1152, 607, 2877, 547, 26924, 7833, 17787, 543, 19720, 2604, 6077, 3579, 6658, 543, 547, 1683, 10936, 585, 2046, 584, 6500, 3579, 6658, 563, 2691, 519, 681, 5425, 2604, 568, 2539, 982, 519, 15895, 3002, 8851, 630, 305, 16281, 264, 1062, 1374, 2604, 267, 713, 1062, 568, 1031, 585, 2417, 3579, 6658, 267, 1244, 816, 584, 1436, 543, 1279, 2165, 19720, 9023, 269, 634, 681, 16281, 1062, 538, 623, 310, 20745, 3217, 1216, 689, 835, 610, 1079, 681, 5425, 3905, 7953, 267, 3579, 338, 621, 538, 681, 16281, 3002, 9401, 13377, 267, 543, 15450, 621, 1394, 547, 519, 4411, 7953, 610, 4295, 14700, 7382, 1100, 26072, 269, 1677, 9585, 681, 16281, 3002, 8851, 267, 681, 16281, 3002, 9401, 13377, 4483, 3002, 547, 519, 5057, 9023, 1216, 610, 3028, 1216, 1062, 267, 799, 1287, 3560, 338, 3002, 547, 519, 10700, 3002, 16173, 630, 308, 9391, 1916, 763, 942, 2838, 585, 2030, 3579, 6658, 568, 5111, 476, 1015, 547, 476, 736, 3108, 267, 799, 14687, 547, 3579, 6658, 2557, 540, 476, 1428, 547, 476, 1789, 9180, 829, 5662, 269, 634, 3803, 2175, 616, 281, 519, 715, 7704, 306, 1107, 17437, 29673, 18242, 3590, 568, 538, 519, 968, 322, 1245, 9505, 6658, 892, 7154, 267, 602, 1797, 570, 822, 326, 815, 476, 1789, 9180, 267, 2604, 815, 2282, 11626, 267, 18664, 517, 5834, 568, 6190, 547, 6556, 476, 273, 547, 476, 276, 260, 9505, 6658, 14345, 543, 681, 9573, 338, 1107, 1234, 18503, 15346, 656, 623, 7927, 616, 1055, 269, 13405, 547, 1142, 1448, 540, 5650, 1657, 267, 10220, 609, 519, 2030, 14502, 10410, 5874, 1590, 581, 20240, 563, 8450, 849, 281, 5463, 599, 14333, 0, 16449, 873, 616, 4791, 2533, 6035, 676, 1514, 4600, 630, 663, 824, 2790, 1072, 4648, 264, 945, 1683, 21911, 14311, 3842, 552, 17733, 2792, 896, 713, 11460, 267, 519, 8502, 543, 7817, 798, 711, 2743, 538, 1268, 2864, 267, 519, 1514, 11832, 3096, 4950, 2792, 547, 2932, 606, 4879, 543, 547, 1683, 4791, 2533, 269, 634, 1764, 540, 5907, 2792, 593, 1764, 540, 5907, 2792, 593, 2123, 3347, 1257, 5048, 3842, 1591, 11436, 267, 543, 998, 1514, 2923, 269, 634, 1909, 5129, 676, 1514, 2923, 538, 2797, 7589, 543, 21146, 2792, 3842, 1514, 538, 2797, 7589, 543, 21146, 11044, 269, 6496, 2413, 1554, 2792, 3842, 1514, 5121, 2322, 606, 1439, 540, 3020, 543, 25442, 3347, 3442, 606, 3390, 827, 799, 596, 723, 2178, 4606, 269, 1548, 616, 519, 5383, 540, 2413, 2792, 513, 281, 2656, 2626, 799, 18788, 1082, 6302, 538, 1514, 543, 1870, 1272, 269, 1656, 519, 3929, 3210, 689, 519, 8289, 540, 21003, 657, 5012, 547, 513, 2413, 6377, 4528, 540, 1514, 4724, 2792, 3842, 6530, 540, 21003, 657, 563, 31636, 2645, 1031, 538, 2413, 1554, 621, 568, 5631, 1031, 585, 4835, 2792, 543, 5698, 2413, 1934, 781, 1018, 596, 991, 547, 917, 827, 1210, 1514, 269, 570, 11548, 6158, 281, 875, 2413, 2029, 543, 646, 31825, 609, 1010, 3988, 3842, 1000, 7867, 267, 513, 1514, 13033, 3896, 602, 2636, 2792, 267, 1514, 269, 634, 1762, 5108, 3112, 4952, 741, 1554, 779, 6780, 1510, 519, 1489, 540, 519, 835, 540, 1034, 1271, 2413, 6639, 7835, 267, 519, 4950, 519, 4950, 568, 1360, 3730, 543, 606, 1271, 1907, 585, 2090, 267, 607, 972, 789, 616, 2111, 547, 1294, 519, 5767, 5359, 543, 4930, 267, 1265, 543, 26821, 5751, 799, 616, 4143, 547, 741, 2090, 267, 607, 1134, 607, 269, 3509, 540, 519, 1007, 3029, 540, 2792, 616, 1031, 3592, 1169, 1554, 1106, 540, 2413, 2792, 616, 29279, 547, 1210, 2413, 2792, 8213, 1514, 269, 6496, 2413, 1554, 2792, 3842, 1514, 5121, 2322, 606, 1439, 547, 3020, 543, 25442, 3347, 563, 2005, 781, 1175, 835, 3815, 538, 2413, 1272, 602, 666, 2333, 4276, 538, 513, 1158, 5258, 676, 519, 13112, 2456, 540, 16851, 267, 519, 771, 1263, 1771, 540, 8613, 267, 543, 269, 6258, 875, 6530, 4991, 693, 519, 4295, 540, 30373, 543, 1514, 544, 19376, 1728, 3430, 18969, 891, 2609, 540, 10388, 4633, 538, 1010, 2792, 1376, 513, 476, 1691, 6377, 269, 5851, 9732, 524, 1087, 476, 1001, 274, 267, 524, 1087, 12193, 4574, 267, 7005, 1557, 9732, 2413, 6377, 2792, 3842, 1514, 3060, 7475, 3020, 267, 25442, 563, 763, 1764, 540, 1007, 1514, 2923, 593, 17685, 8590, 713, 1957, 8942, 547, 8495, 519, 1764, 540, 1210, 1007, 1514, 2792, 543, 5872, 616, 1883, 269, 7073, 2029, 814, 13087, 519, 5137, 540, 513, 16221, 540, 1007, 2792, 2645, 2413, 2010, 540, 2792, 15292, 476, 4029, 267, 476, 1001, 276, 676, 281, 3381, 540, 519, 1554, 563, 26794, 543, 11393, 540, 5907, 2792, 2029, 538, 2413, 2792, 2792, 568, 2877, 585, 3375, 563, 763, 2413, 6377, 6725, 8257, 2115, 547, 9192, 519, 3860, 1210, 3532, 6386, 547, 7148, 883, 1004, 779, 1357, 9367, 543, 1514, 2923, 269, 634, 1686, 540, 1514, 2923, 543, 922, 1764, 593, 689, 621, 3140, 1646, 547, 922, 2413, 1554, 3029, 540, 5907, 2792, 630, 553, 1357, 4609, 585, 1514, 269, 634, 1198, 540, 519, 4950, 593, 2413, 4213, 1299, 14078, 11393, 540, 1870, 2792, 2029, 1496, 514, 1181, 564, 316, 1923, 875, 798, 4213, 946, 519, 4950, 269, 476, 1015, 2413, 1870, 2792, 2409, 4320, 540, 1514, 2923, 2792, 689, 2395, 3079, 540, 29595, 1472, 782, 1554, 609, 513, 269, 20134, 2360, 540, 2029, 593, 2792, 2942, 2360, 540, 2029, 593, 2792, 855, 7863, 1169, 3095, 538, 519, 1514, 2792, 5832, 666, 269, 1656, 519, 2179, 540, 2792, 676, 1514, 3060, 1514, 1272, 1510, 1210, 930, 4990, 540, 2413, 6377, 946, 2731, 1860, 938, 2792, 563, 290, 7159, 4802, 803, 577, 600, 25998, 609, 2828, 3842, 1257, 532, 543, 2228, 20261, 1007, 2029, 543, 1514, 2923, 4609, 616, 7683, 4657, 267, 9687, 543, 3384, 267, 799, 1797, 519, 3068, 540, 2123, 2792, 568, 849, 4657, 269, 4317, 13033, 543, 14375, 2792, 1514, 13033, 543, 14375, 2792, 4908, 540, 1210, 1514, 13033, 585, 2792, 269, 4828, 8720, 519, 3310, 540, 2413, 2029, 593, 519, 3310, 540, 2413, 2029, 593, 2486, 2407, 1514, 3609, 519, 8441, 538, 2792, 269, 7073, 6377, 2792, 3842, 1514, 3060, 621, 568, 3592, 7543, 585, 721, 547, 2226, 938, 960, 1272, 543, 1514, 1272, 1510, 1210, 930, 4990, 540, 2413, 6377, 269, 0, 13349, 3987, 9963, 4191, 1331, 281, 2799, 30614, 267, 19818, 543, 14000, 269, 9796, 3007, 547, 519, 10881, 707, 4191, 543, 2589, 540, 3987, 22577, 1560, 781, 4758, 596, 12128, 22577, 630, 19699, 264, 568, 513, 1455, 2068, 538, 4191, 543, 2589, 540, 3987, 22577, 799, 519, 1973, 4006, 630, 6921, 26651, 264, 568, 25983, 958 ]

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

[ 0, 288, 2319, 540, 3744, 3366, 676, 23171, 2520, 5505, 3091, 513, 1007, 5133, 593, 519, 2470, 540, 4657, 20296, 2175, 2066, 713, 8511, 3562, 268, 823, 5264, 5912, 1765, 821, 602, 1201, 2373, 4505, 6436, 543, 814, 1271, 6286, 585, 17782, 2104, 2916, 2242, 563, 19547, 9229, 538, 519, 5988, 476, 2767, 3390, 540, 3163, 267, 741, 1239, 16355, 1407, 513, 1279, 13463, 671, 2856, 602, 7372, 4672, 2208, 538, 519, 21303, 729, 10483, 676, 2370, 547, 1100, 2518, 2837, 1689, 563, 1607, 1867, 2982, 602, 1354, 519, 8828, 25955, 4672, 7269, 267, 1164, 2000, 520, 3363, 5210, 941, 693, 2547, 476, 1015, 9180, 630, 12671, 476, 1240, 391, 504, 293, 264, 15911, 982, 5892, 6059, 543, 602, 972, 729, 513, 476, 276, 391, 504, 290, 910, 476, 1015, 391, 504, 290, 6749, 538, 2627, 21226, 2837, 1282, 519, 2916, 5912, 563, 257, 28095, 10411, 15297, 5795, 1100, 2963, 540, 1164, 2000, 520, 3363, 9023, 2437, 2687, 547, 9972, 2278, 4460, 623, 698, 8643, 267, 7548, 540, 20569, 543, 2520, 2684, 12695, 693, 23171, 269, 834, 5978, 1239, 6542, 513, 2312, 2837, 6749, 538, 1312, 8280, 7371, 12742, 1282, 713, 942, 4799, 19853, 8753, 616, 1759, 593, 4262, 1606, 16577, 834, 339, 17687, 9938, 625, 257, 1107, 9273, 540, 2837, 1759, 593, 519, 3892, 540, 1808, 5214, 6675, 689, 3504, 28506, 2023, 602, 1152, 5030, 693, 1978, 5210, 543, 941, 2663, 12873, 538, 5836, 21439, 269, 1452, 6675, 941, 22368, 539, 538, 5836, 23780, 6394, 676, 519, 21091, 7909, 3220, 3739, 5358, 630, 296, 7495, 303, 264, 543, 4505, 7286, 3292, 602, 1353, 3047, 1686, 676, 1351, 532, 2620, 27984, 4117, 21439, 543, 12933, 1472, 519, 1158, 563, 257, 307, 655, 704, 2137, 538, 930, 4525, 267, 1175, 1354, 519, 21303, 22260, 4646, 267, 941, 19599, 2362, 982, 1699, 2916, 3631, 10567, 267, 11021, 602, 891, 3631, 30391, 1164, 2000, 520, 3363, 8337, 896, 1164, 2910, 273, 2175, 2437, 1767, 1291, 2278, 11809, 517, 724, 14241, 20568, 267, 623, 698, 8643, 781, 2022, 4777, 28118, 12314, 945, 568, 1631, 606, 13930, 7548, 693, 519, 2160, 540, 15173, 15158, 269, 4329, 267, 646, 1767, 267, 519, 8101, 9023, 602, 7018, 538, 1312, 8832, 543, 8828, 1164, 4234, 6421, 5267, 602, 513, 7771, 538, 2910, 273, 1377, 267, 2864, 982, 513, 22297, 1689, 540, 5836, 10009, 22755, 519, 2916, 5912, 563, 763, 4672, 4646, 936, 19778, 538, 827, 476, 1911, 267, 1822, 1296, 267, 799, 568, 606, 834, 4261, 697, 257, 6521, 538, 17027, 2474, 269, 834, 9617, 936, 13977, 19317, 2929, 1296, 3516, 267, 1412, 17763, 1993, 10086, 972, 729, 606, 4672, 6656, 1141, 972, 1185, 1044, 31210, 5210, 1354, 2437, 1767, 3213, 27236, 15623, 13535, 828, 540, 8830, 16746, 2160, 563, 5194, 3069, 1201, 3176, 676, 713, 1353, 568, 519, 10206, 602, 4672, 7721, 335, 6416, 849, 7018, 538, 519, 8832, 25955, 1282, 713, 942, 2443, 513, 1139, 3789, 14605, 6462, 676, 2168, 2963, 540, 27224, 5250, 538, 602, 3148, 267, 2161, 519, 23171, 3744, 563, 2467, 616, 827, 476, 3583, 7397, 540, 7299, 4262, 1377, 4473, 6719, 538, 519, 4672, 9212, 540, 19778, 269, 1656, 267, 972, 616, 1082, 2055, 3823, 519, 27224, 781, 6617, 267, 519, 2837, 29676, 602, 1131, 2014, 9097, 27224, 13621, 267, 543, 519, 2557, 693, 799, 621, 1131, 1689, 267, 2687, 547, 623, 698, 8643, 269, 834, 5978, 4681, 1448, 547, 519, 7411, 540, 9781, 4977, 5210, 896, 2362, 2910, 273, 538, 713, 2565, 3148, 4799, 13202, 564, 4825, 339, 580, 661, 28609, 1923, 31823, 2336, 10702, 5359, 827, 281, 3436, 21303, 20530, 2209, 3436, 21303, 27224, 3436, 19778, 3436, 2910, 273, 3436, 6820, 8693, 3436, 8828, 25955, 4672, 7269, 3436, 2518, 9023, 3436, 2518, 2837, 1689, 3436, 8511, 3562, 268, 823, 5264, 5912, 3436, 1164, 2000, 520, 3363, 9023, 3436, 4672, 6656, 3436, 4672, 6954, 1158, 3436, 5214, 11140, 3436, 2627, 21226, 2837, 3436, 2837, 9938, 625, 454, 306, 2378, 8948, 8973, 6940, 998, 4104, 13995, 11837, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 4139, 4659, 585, 11930, 7010, 5811, 630, 2862, 3008, 288, 994, 291, 2317, 5117, 20592, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 15751, 6441, 644, 342, 12127, 268, 26536, 28059, 6154, 756, 4026, 708, 6601, 529, 326, 879, 454, 2304, 3486, 2319, 540, 3744, 814, 6069, 513, 1007, 3818, 16162, 9918, 1935, 538, 799, 606, 5044, 540, 1007, 4066, 786, 1450, 721, 547, 4786, 9265, 543, 519, 4220, 602, 7320, 568, 6849, 693, 519, 4336, 540, 2898, 8916, 269, 634, 4681, 616, 3370, 538, 7186, 17905, 543, 12472, 269, 901, 3486, 1382, 568, 3366, 676, 519, 31311, 2719, 4659, 540, 25672, 1108, 689, 3624, 267, 2160, 540, 5101, 4911, 20377, 267, 2160, 540, 2274, 1182, 614, 543, 519, 2274, 30519, 714, 4659, 585, 25089, 543, 13812, 3194, 563, 8794, 513, 4999, 540, 9682, 543, 2666, 1239, 267, 519, 2319, 23083, 602, 621, 568, 1631, 2009, 547, 4786, 9265, 609, 606, 6111, 602, 814, 711, 1044, 5892, 2483, 28959, 30335, 538, 519, 11848, 267, 3476, 5712, 540, 10664, 538, 2342, 267, 4049, 17160, 538, 4639, 4000, 1107, 4358, 538, 476, 1708, 272, 267, 3744, 1616, 547, 2263, 519, 5434, 540, 519, 8511, 3154, 15655, 609, 519, 4436, 6363, 3402, 9682, 631, 2207, 299, 2562, 269, 901, 568, 1500, 2009, 676, 513, 1007, 7347, 8955, 1062, 540, 519, 29163, 4659, 585, 21558, 5303, 14889, 307, 538, 589, 659, 1156, 267, 799, 31267, 13778, 6482, 6111, 563, 300, 996, 2033, 568, 5097, 519, 1267, 540, 519, 17883, 540, 5214, 2339, 269, 634, 3154, 814, 513, 476, 1839, 2053, 3152, 8337, 1761, 982, 3327, 8166, 267, 855, 568, 711, 607, 2483, 22134, 4088, 568, 9833, 607, 519, 1648, 2707, 540, 519, 2104, 281, 898, 568, 3812, 609, 3859, 1379, 543, 666, 581, 1031, 547, 5352, 3002, 543, 5201, 538, 4492, 2281, 269, 5927, 320, 3173, 723, 1631, 16309, 538, 29852, 519, 3350, 540, 7250, 12274, 538, 14848, 1107, 513, 1883, 1900, 2509, 811, 3608, 1648, 7503, 538, 519, 7250, 2872, 540, 14182, 563, 2026, 5279, 19057, 267, 9211, 543, 12274, 1404, 519, 3056, 1909, 538, 6850, 23755, 1648, 4859, 3457, 543, 4780, 1562, 971, 607, 9075, 543, 4492, 2281, 269, 1160, 2023, 2483, 14722, 689, 519, 28742, 1849, 13831, 17807, 693, 519, 32400, 5336, 1314, 574, 559, 2103, 268, 26536, 28059, 22540, 723, 2374, 331, 2213, 834, 290, 657, 332, 578, 20623, 1636, 531, 2580, 513, 2189, 1239, 8998, 585, 14421, 1670, 13502, 4092, 693, 519, 2274, 30519, 714, 8111, 28669, 532, 10418, 630, 28384, 313, 264, 540, 519, 28554, 4115, 9142, 540, 7070, 269, 634, 2347, 2164, 540, 513, 3126, 540, 1804, 8652, 323, 3428, 673, 14421, 1670, 13502, 616, 2139, 267, 609, 1239, 12531, 3335, 23630, 1896, 4627, 1768, 17879, 5052, 269, 12207, 5001, 666, 2170, 1947, 2263, 891, 1950, 13502, 3842, 513, 1357, 8818, 543, 2047, 1569, 519, 2164, 563, 4415, 1699, 24985, 267, 3744, 666, 7747, 938, 17807, 779, 15270, 543, 14925, 13421, 543, 741, 3892, 2059, 606, 15865, 17184, 1357, 269, 3245, 519, 2483, 307, 17687, 7403, 2009, 1256, 593, 519, 10545, 4336, 1315, 17449, 6299, 344, 585, 946, 538, 1570, 9443, 267, 7350, 267, 543, 4915, 454, 290, 1335, 1235, 693, 29312, 717, 9790, 6199, 2160, 6301, 345, 630, 297, 294, 308, 264, 538, 9316, 609, 3173, 540, 519, 4436, 8549, 4659, 585, 10049, 3194, 543, 13281, 630, 289, 4456, 264, 2483, 866, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 3047, 7070, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 3047, 7070, 454, 2767, 269, 6187, 269, 1001, 278, 1923, 5020, 7070, 0, 295, 650, 4857, 891, 476, 1839, 6206, 3004, 1080, 454, 272, 630, 303, 7246, 264, 31339, 10076, 5900, 3363, 269, 7046, 519, 7450, 543, 1450, 596, 547, 4159, 707, 1983, 543, 27606, 269, 5331, 602, 15818, 9306, 1200, 2013, 609, 6015, 267, 11543, 519, 1274, 540, 519, 9794, 543, 21139, 1317, 1352, 568, 3982, 1947, 1582, 12431, 3293, 563, 273, 21253, 2225, 11482, 1115, 596, 547, 581, 2111, 547, 3082, 3054, 3533, 547, 4657, 6381, 543, 18002, 1510, 11784, 610, 2530, 540, 2191, 568, 513, 1713, 5578, 607, 596, 6560, 4724, 1967, 13034, 3058, 513, 8465, 29916, 1797, 596, 6560, 4724, 1967, 13034, 3058, 513, 8465, 29916, 1797, 596, 1590, 581, 899, 513, 669, 877, 548, 517, 267, 638, 1157, 569, 11745, 1944, 609, 707, 1604, 563, 274, 16429, 1356, 640, 540, 20828, 269, 3399, 338, 609, 3054, 543, 596, 786, 20406, 1332, 538, 1582, 3146, 18910, 20193, 786, 7794, 1169, 835, 540, 519, 824, 2460, 540, 707, 24886, 7209, 23130, 1732, 22315, 1223, 596, 723, 693, 513, 4090, 596, 1590, 6542, 8112, 982, 513, 3020, 543, 9434, 11428, 547, 707, 17386, 2101, 3483, 888, 275, 32653, 1145, 540, 17423, 269, 21988, 1004, 3914, 3375, 9090, 543, 3533, 267, 543, 789, 1831, 20714, 539, 543, 616, 28842, 27624, 676, 1866, 945, 798, 711, 10422, 668, 696, 3375, 1818, 568, 513, 4356, 267, 543, 621, 568, 6462, 676, 707, 2318, 2790, 10182, 267, 799, 2285, 596, 6015, 563, 276, 3938, 17940, 568, 4986, 811, 982, 519, 4356, 540, 18245, 824, 1004, 779, 4606, 896, 782, 6381, 267, 519, 4356, 540, 2469, 856, 540, 835, 779, 1259, 547, 948, 519, 1447, 26752, 267, 519, 4356, 540, 9013, 25796, 1145, 538, 782, 3029, 563, 277, 570, 716, 269, 1703, 568, 513, 1318, 4090, 543, 513, 4636, 4090, 585, 3388, 11053, 716, 568, 519, 4356, 540, 3257, 543, 6031, 519, 1318, 3364, 693, 519, 1318, 4090, 11053, 716, 568, 865, 5702, 1644, 547, 21806, 602, 596, 3112, 2259, 835, 1510, 519, 824, 20193, 568, 606, 17170, 5578, 267, 1175, 607, 18476, 585, 922, 9000, 607, 585, 922, 4527, 563, 278, 570, 821, 540, 20429, 269, 16594, 568, 519, 1505, 649, 946, 1034, 1419, 547, 2769, 938, 7209, 5861, 2632, 13764, 519, 3159, 540, 707, 5639, 865, 602, 621, 11438, 2495, 3564, 6071, 1913, 568, 17170, 563, 279, 634, 13206, 527, 540, 3911, 4979, 269, 5213, 1406, 30391, 519, 2956, 540, 513, 7928, 543, 25442, 12837, 538, 1818, 707, 7209, 13267, 547, 824, 610, 922, 1198, 593, 3054, 563, 280, 11120, 658, 20309, 269, 1772, 1776, 25246, 540, 606, 10694, 7209, 602, 4422, 1927, 609, 707, 3159, 540, 5639, 543, 707, 12837, 269, 1411, 666, 2995, 513, 1390, 4308, 827, 1018, 568, 2469, 593, 538, 1004, 2247, 676, 519, 7215, 593, 741, 8188, 7868, 811, 596, 1451, 547, 581, 3222, 540, 543, 538, 1852, 540, 707, 11132, 7215, 519, 1732, 596, 3580, 581, 2111, 547, 4612, 519, 7215, 540, 1866, 563, 1015, 570, 16260, 269, 1772, 519, 29916, 547, 581, 3461, 543, 4023, 4724, 1346, 4171, 8369, 267, 2853, 267, 543, 4978, 8428, 689, 16523, 13034, 13783, 707, 2247, 1930, 547, 1007, 2093, 543, 1007, 1344, 568, 711, 3274, 513, 1259, 547, 1118, 3054, 811, 24886, 547, 581, 1472, 7868, 811, 703, 26985, 596, 616, 267, 519, 811, 2673, 1055, 547, 519, 4763, 540, 519, 1158, 543, 547, 519, 1379, 540, 519, 5289, 2427, 540, 519, 2247, 267, 799, 666, 21707, 1152, 950, 621, 568, 4712, 547, 3398, 1007, 2093, 563, 1556, 7671, 1145, 540, 2494, 1676, 543, 16594, 269, 15526, 26416, 1004, 945, 946, 1016, 614, 325, 4007, 3079, 540, 7231, 18367, 569, 609, 27498, 11053, 745, 569, 3280, 3197, 723, 10100, 547, 3717, 543, 4308, 2047, 609, 1004, 267, 543, 789, 1246, 713, 4356, 9846, 267, 1256, 1498, 621, 949, 693, 2053, 581, 547, 741, 19319, 563, 1321, 589, 16994, 23281, 540, 9966, 528, 269, 589, 1134, 2919, 2631, 540, 9644, 11226, 596, 538, 4742, 8465, 543, 22537, 547, 519, 8795, 6381, 540, 1272, 269, 898, 1450, 596, 547, 6001, 543, 2611, 1480, 538, 519, 22984, 540, 2604, 267, 3079, 540, 939, 558, 19112, 3579, 543, 11397, 610, 14220, 543, 15280, 269, 898, 1832, 596, 689, 2921, 1272, 547, 12517, 563, 1724, 18321, 538, 5606, 9548, 11106, 269, 18321, 568, 18955, 883, 1169, 6240, 540, 6138, 540, 9740, 282, 5132, 568, 519, 9759, 540, 1390, 9740, 267, 1100, 2339, 1018, 922, 2470, 610, 3483, 269, 10598, 22162, 707, 5132, 1247, 8876, 707, 17386, 2101, 3483, 1131, 581, 899, 3843, 547, 1353, 17651, 1510, 13288, 547, 519, 6801, 269, 18321, 779, 1379, 568, 3362, 25189, 676, 1022, 1268, 269, 3143, 13927, 1590, 581, 6976 ]

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

[ 4804, 269, 6796, 4804, 269, 5303, 10341, 269, 11473, 910, 4804, 8249, 269, 26264, 8249, 269, 590, 14403, 777, 269, 3267, 4635, 2029, 538, 6693, 27645, 5575, 781, 26264, 12532, 268, 7437, 6941, 538, 4116, 7888, 2474, 1018, 530, 1731, 529, 616, 543, 875, 789, 666, 581, 1031, 3927, 538, 519, 4928, 269, 4855, 856, 1946, 3610, 6693, 1432, 568, 519, 20823, 540, 3162, 21241, 3427, 540, 631, 1149, 543, 5303, 585, 606, 9049, 538, 3540, 4702, 286, 6904, 1533, 814, 519, 1655, 2069, 3609, 543, 1946, 286, 1548, 616, 519, 5094, 2640, 540, 1312, 1753, 17469, 2069, 543, 1153, 31281, 754, 4315, 1053, 2069, 888, 11514, 23955, 540, 2013, 1353, 1382, 910, 634, 1761, 540, 2029, 543, 8268, 1369, 3872, 1239, 282, 3173, 538, 2257, 2069, 543, 6236, 519, 1686, 6437, 6304, 543, 22030, 676, 7262, 18375, 543, 2757, 3068, 910, 547, 910, 1353, 2013, 540, 11393, 1382, 4775, 3984, 601, 646, 1185, 547, 1305, 547, 552, 815, 533, 267, 952, 1634, 563, 15771, 6579, 5308, 8008, 14176, 10396, 570, 22379, 5442, 11581, 24102, 269, 25723, 289, 12702, 12239, 282, 623, 7495, 290, 17129, 282, 654, 31082, 296, 282, 3267, 594, 993, 27057, 538, 1250, 2034, 1032, 540, 1353, 693, 519, 853, 269, 9478, 779, 11334, 685, 2852, 1141, 594, 993, 13197, 513, 20277, 779, 4110, 538, 3119, 2069, 269, 3733, 2648, 585, 2542, 814, 2731, 1044, 3730, 538, 1250, 2090, 543, 594, 6557, 849, 2386, 602, 621, 786, 849, 948, 547, 10802, 1250, 1296, 607, 513, 4116, 563, 2304, 4112, 528, 2218, 5530, 593, 4635, 26264, 547, 23340, 9906, 11334, 685, 3231, 1676, 19721, 4804, 543, 8682, 543, 25398, 10495, 26290, 29646, 631, 269, 654, 269, 31436, 267, 962, 24926, 15616, 700, 2967, 4750, 540, 6176, 5303, 4065, 281, 11627, 725, 538, 6657, 3040, 11730, 476, 1556, 3040, 476, 1001, 273, 3040, 6032, 269, 476, 5881, 272, 268, 5400, 275, 454, 310, 5942, 5624, 616, 2139, 585, 1576, 6044, 607, 1134, 607, 8257, 531, 610, 10721, 3096, 269, 1677, 3489, 513, 1875, 1576, 5829, 26264, 2230, 267, 5225, 6445, 856, 543, 10505, 519, 3498, 1106, 269, 1677, 3489, 513, 1576, 5829, 26264, 2230, 267, 946, 519, 530, 5942, 5137, 1907, 1369, 519, 15096, 2177, 667, 1662, 4580, 563, 288, 2852, 2069, 814, 2760, 1044, 811, 1271, 269, 3683, 476, 4200, 2600, 540, 782, 6009, 2813, 1282, 519, 6051, 689, 519, 476, 1220, 279, 21748, 4682, 547, 4600, 609, 693, 682, 553, 7498, 4415, 936, 476, 1911, 2929, 6267, 543, 7855, 538, 476, 3445, 2477, 267, 649, 4076, 4121, 513, 3364, 610, 1079, 827, 519, 2069, 1995, 269, 1284, 3494, 538, 519, 1379, 540, 2029, 547, 4228, 1569, 547, 2069, 547, 1169, 2875, 1765, 2958, 14177, 540, 11585, 267, 3942, 540, 1272, 610, 9659, 563, 1607, 1353, 8268, 1053, 262, 11994, 543, 5615, 540, 1857, 530, 5942, 946, 1282, 513, 10319, 9504, 7084, 538, 513, 10927, 2029, 543, 7924, 2069, 1576, 563, 8196, 2029, 593, 513, 2898, 538, 2489, 568, 513, 1434, 1259, 585, 2792, 267, 1053, 543, 1053, 543, 4116, 543, 1053, 267, 1256, 4116, 543, 3237, 269, 898, 779, 513, 1434, 1259, 547, 1353, 609, 2828, 2523, 950, 711, 693, 519, 1482, 4087, 269, 0, 763, 13677, 2278, 715, 580, 601, 2558, 534, 614, 5206, 1082, 9089, 1759, 593, 3140, 2621, 543, 5515, 563, 1607, 2985, 2882, 1346, 540, 1010, 3140, 9089, 1305, 538, 10430, 538, 519, 1974, 476, 12553, 277, 1700, 8182, 274, 269, 901, 5956, 609, 519, 2669, 540, 12138, 8633, 267, 799, 10511, 18469, 519, 2552, 652, 585, 519, 22477, 543, 519, 12668, 540, 13677, 14412, 269, 634, 1974, 32195, 609, 519, 5742, 540, 519, 18844, 985, 538, 476, 8182, 274, 267, 950, 6276, 17886, 540, 10430, 934, 17660, 519, 2296, 17599, 563, 2690, 2558, 534, 614, 781, 3140, 9089, 1305, 3544, 713, 942, 18134, 1294, 912, 2690, 824, 2835, 676, 715, 580, 601, 2558, 534, 614, 267, 1294, 1934, 563, 9873, 277, 268, 3066, 286, 634, 3844, 1915, 568, 4911, 639, 29142, 540, 1772, 26792, 563, 23192, 3370, 607, 1614, 2835, 282, 2663, 556, 1790, 21242, 538, 835, 4320, 607, 634, 23745, 2558, 559, 9609, 563, 13729, 1282, 519, 1974, 476, 15782, 277, 1700, 9873, 277, 267, 713, 1433, 5205, 519, 1272, 540, 7917, 267, 23778, 540, 2961, 4459, 607, 646, 5956, 547, 1174, 1010, 22038, 269, 898, 5956, 609, 3627, 11831, 2723, 1208, 559, 7007, 543, 4174, 5529, 540, 1010, 13862, 676, 11977, 594, 540, 4789, 269, 589, 28280, 7198, 267, 7917, 23745, 814, 547, 2015, 1010, 1378, 10121, 2906, 269, 1306, 10430, 23119, 606, 2296, 12289, 543, 13567, 267, 23745, 5956, 1010, 6560, 547, 3715, 513, 1007, 1931, 538, 10430, 269, 1261, 1312, 3523, 919, 267, 543, 804, 10449, 609, 1010, 4207, 5261, 28615, 282, 646, 3029, 24816, 543, 17052, 609, 267, 10838, 1866, 267, 6276, 19958, 543, 5261, 632, 19681, 828, 2023, 267, 543, 3587, 513, 14686, 15180, 540, 3627, 1290, 2106, 269, 23745, 543, 1290, 2106, 781, 4661, 538, 27578, 325, 686, 1513, 5783, 267, 799, 8507, 538, 1290, 2106, 781, 2669, 267, 14026, 23745, 781, 554, 7360, 7715, 940, 607, 3751, 540, 10430, 269, 634, 1650, 7475, 609, 1010, 2530, 693, 519, 11135, 540, 29034, 1597, 267, 543, 9101, 563, 3528, 10213, 519, 1650, 689, 23745, 781, 1448, 540, 2070, 267, 2558, 534, 614, 2982, 5693, 875, 10430, 781, 24360, 6214, 543, 23745, 781, 1378, 6404, 10121, 2906, 5483, 1010, 3527, 267, 3246, 23674, 24500, 585, 1010, 7805, 834, 1873, 26677, 5011, 257, 630, 553, 646, 1185, 6462, 11977, 594, 693, 835, 942, 264, 543, 1010, 12638, 540, 1290, 2106, 563, 9873, 277, 1700, 14530, 275, 570, 1389, 519, 1650, 909, 547, 543, 1519, 519, 11135, 540, 645, 2335, 1442, 14315, 563, 14530, 275, 1700, 15171, 280, 570, 1389, 519, 1650, 547, 23745, 781, 2669, 267, 621, 6227, 519, 23745, 22411, 538, 8581, 538, 811, 1469, 982, 930, 6589, 563, 13729, 1282, 476, 15836, 273, 1700, 16328, 273, 267, 713, 3209, 20186, 10430, 538, 519, 21987, 540, 23745, 781, 2669, 896, 519, 12081, 540, 1010, 5067, 6424, 4083, 267, 1445, 28410, 593, 519, 9661, 540, 12138, 681, 4461, 599, 543, 5261, 19958, 267, 7083, 540, 700, 1342, 525, 23014, 563, 23192, 16030, 1614, 2835, 267, 519, 959, 559, 9609, 814, 2094, 556, 22190, 18193, 607, 835, 4320, 563, 9610, 273, 1700, 15221, 272, 1107, 1739, 2047, 689, 674, 14709, 540, 11010, 806, 543, 10678, 609, 519, 11135, 540, 4498, 18721, 563, 9610, 274, 1700, 16960, 278, 634, 1650, 540, 6276, 594, 540, 10430, 689, 513, 1762, 7911, 547, 1010, 12638, 563, 13729, 1282, 476, 16960, 278, 1700, 16409, 271, 267, 1282, 519, 12081, 540, 6276, 4083, 267, 519, 1433, 6257, 519, 7911, 268, 6362, 781, 942, 896, 1036, 757, 5246, 756, 12245, 19958, 267, 476, 276, 628, 23778, 540, 19958, 267, 7083, 595, 5341, 2023, 267, 543, 11184, 12138, 12389, 8725, 267, 543, 519, 4729, 547, 6146, 5261, 19958, 267, 476, 277, 628, 23778, 540, 19958, 693, 519, 834, 14937, 20550, 1676, 2580, 2938, 998, 519, 4064, 540, 12138, 10370, 517, 267, 9457, 543, 1287, 476, 273, 526, 7083, 540, 3794, 600, 529, 269, 634, 1433, 7475, 609, 519, 2669, 540, 6276, 563, 13729, 476, 13893, 279, 1700, 13970, 273, 267, 1282, 519, 12081, 540, 6276, 4083, 267, 519, 3844, 1915, 568, 5261, 19958, 267, 476, 279, 628, 23778, 540, 19958, 267, 945, 17468, 519, 1379, 540, 519, 2423, 3149, 540, 19958, 1739, 519, 12638, 540, 519, 476, 277, 628, 3783, 269, 898, 7475, 609, 5261, 781, 12638, 693, 519, 3946, 540, 6276, 4083, 5128, 267, 538, 853, 26325, 16836, 269, 898, 2306, 930, 23019, 6811, 827, 1010, 16957, 569, 14524, 531, 7365, 609, 20152, 19958, 267, 12876, 631, 4660, 540, 717, 9994, 599, 563, 15704, 275, 1700, 16825, 279, 281, 25905, 6307, 26791, 543, 3627, 19958, 540, 19958, 23014, 454, 14444, 272, 1700, 14444, 279, 7338, 918, 20482, 267, 476, 280, 628, 31578, 540, 22513, 773, 327, 1009, 454, 14444, 279, 1700, 15647, 278, 11184, 3627, 25844, 19376, 454, 1607, 959, 559, 9609, 568, 1305, 1282, 519, 12081, 540, 6276, 17886, 267, 909, 547, 519, 5742, 540, 519, 18844, 985, 269, 634, 3844, 1915, 568, 18536, 22630, 267, 476, 277, 628, 7083, 22630, 267, 9457, 540, 22630, 693, 519, 942, 269, 1261, 568, 13269, 607, 513, 2577, 807, 767, 331, 1014, 4137, 282, 519, 3209, 949, 21179, 622, 1010, 2956, 538, 519, 2621, 540, 519, 942, 563, 299, 867, 543, 9457, 630, 3192, 274, 264, 476, 14991, 275, 1700, 15647, 278, 901, 729, 8385, 11331, 834, 763, 9457, 540, 22630, 2580, 855, 729, 26948, 1310, 602, 2140, 729, 1031, 585, 519, 3003, 959, 559, 9609, 563, 763, 3938, 5052, 534, 630, 3422, 274, 264, 476, 15647, 278, 1700, 14689, 273, 901, 2140, 4016, 547, 6307, 22630, 267, 513, 14070, 24648, 527, 1493, 8250, 540, 18536, 22630, 269, 634, 2278, 2934, 1200, 607, 513, 5134, 816, 540, 23160, 990, 545, 26791, 267, 476, 273, 526, 16099, 540, 31143, 2135, 563, 303, 770, 9457, 630, 3192, 274, 994, 14689, 273, 1700, 8182, 274, 901, 7475, 609, 519, 5742, 540, 519, 18844, 985, 543, 6276, 15385, 519, 8473, 693, 7137, 19213, 269, 634, 4622, 6645, 18536, 22630, 602, 646, 1100, 3476, 814, 1022, 991, 585, 1864, 267, 543, 646, 4422, 1394, 547, 1010, 1920, 10040, 2282, 667, 1495, 2465, 563, 15647, 280, 1700, 8182, 274, 634, 1650, 540, 1325, 770, 1515, 5839, 294, 2958, 528, 540, 3794, 523, 14259, 324, 543, 519, 605, 2675, 3628, 540, 519, 2012, 5839, 294, 2958, 528, 269, 0, 2690, 1383, 267, 538, 513, 14404, 636, 9306, 7965, 610, 10701, 340, 885, 547, 6207, 6580, 267, 12779, 29914, 2106, 1108, 666, 581, 1031, 607, 513, 3448, 1201, 5166, 676, 1797, 540, 519, 1353, 540, 519, 3542, 839, 1336, 538, 519, 14404, 636, 269, 28731, 25441, 543, 18104, 25441, 616, 1079, 2010, 540, 971, 2553, 799, 616, 896, 2259, 547, 3313, 519, 2085, 540, 519, 15455, 267, 3615, 610, 12977, 269, 634, 6207, 6580, 568, 811, 6325, 982, 519, 3448, 6580, 267, 799, 8806, 12662, 519, 1114, 2621, 538, 519, 942, 1931, 543, 6941, 835, 1210, 519, 824, 269, 30521, 6248, 6580, 568, 1776, 2629, 4480, 998, 799, 519, 3169, 2085, 666, 581, 5833, 563, 1103, 824, 1913, 267, 6580, 536, 321, 649, 666, 2161, 602, 519, 2085, 538, 3448, 6580, 568, 23754, 539, 676, 26164, 519, 6106, 540, 18254, 610, 519, 7725, 269, 18361, 540, 12779, 15351, 6605, 1108, 269, 5384, 6482, 543, 4441, 269, 901, 1184, 1954, 525, 9211, 1369, 6886, 602, 2611, 9575, 1369, 519, 6221, 563, 9824, 894, 25966, 269, 18104, 25441, 634, 31597, 8131, 11325, 454, 20238, 2747, 2157, 798, 711, 2611, 3586, 936, 942, 269, 18104, 6580, 267, 849, 1572, 10230, 6580, 267, 2855, 5190, 519, 3140, 3788, 538, 1931, 540, 741, 6502, 269, 634, 6476, 2337, 3715, 519, 3448, 2085, 540, 891, 3788, 269, 1280, 713, 2601, 267, 1082, 24085, 4782, 547, 946, 5439, 689, 2110, 24331, 2371, 585, 28650, 6580, 563, 32701, 267, 519, 2039, 540, 942, 1369, 15456, 6580, 666, 581, 11999, 3379, 547, 519, 3328, 14438, 540, 513, 13737, 1480, 1373, 269, 2353, 6211, 8031, 2270, 11254, 7408, 269, 26457, 565, 29061, 12412, 4152, 849, 7389, 3688, 547, 519, 2063, 942, 789, 941, 12699, 563, 1103, 32619, 6580, 267, 2228, 519, 14599, 6886, 1369, 519, 7725, 616, 1031, 547, 917, 827, 519, 2085, 540, 519, 1843, 610, 519, 4609, 269, 15751, 18160, 781, 769, 6761, 269, 3778, 540, 519, 26994, 25512, 563, 763, 6207, 6580, 568, 849, 3006, 5219, 547, 607, 519, 3448, 10230, 6580, 607, 621, 2501, 609, 519, 3169, 2085, 540, 519, 1843, 269, 18780, 540, 15765, 26439, 3996, 269, 1452, 2553, 616, 811, 1950, 543, 4359, 3823, 2029, 607, 3379, 547, 519, 2553, 538, 2259, 538, 3448, 6580, 269, 12700, 827, 7338, 32525, 269, 3245, 9504, 267, 519, 1863, 22605, 563, 27028, 5193, 6580, 3163, 4804, 16735, 454, 9824, 894, 6580, 568, 519, 4480, 1031, 547, 917, 799, 1843, 610, 6221, 568, 4587, 538, 6476, 547, 519, 824, 835, 269, 20048, 1670, 6580, 2983, 11043, 942, 4336, 4139, 8189, 593, 31854, 19973, 269, 901, 4480, 7389, 519, 942, 1974, 1282, 799, 891, 14034, 941, 4646, 269, 901, 1769, 666, 581, 6027, 547, 3313, 519, 2063, 942, 519, 6221, 729, 12699, 269, 769, 930, 2127, 540, 519, 1158, 267, 621, 568, 2009, 547, 4266, 3574, 1394, 513, 1906, 8536, 1296, 267, 610 ]

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

[ 335, 27219, 3758, 563, 268, 20509, 519, 1547, 335, 27219, 3758, 883, 808, 28485, 630, 6748, 519, 18330, 4781, 264, 543, 606, 1493, 563, 295, 4353, 1315, 670, 2562, 630, 29730, 17057, 994, 297, 28485, 14509, 7486, 630, 528, 670, 2562, 264, 6119, 267, 519, 5065, 3898, 540, 15214, 17057, 267, 513, 3301, 4421, 676, 15214, 322, 4209, 5549, 10756, 297, 28485, 14509, 544, 641, 719, 3977, 6119, 689, 631, 8008, 3722, 454, 663, 519, 1007, 3113, 325, 3977, 689, 631, 8008, 3722, 1220, 278, 27210, 6230, 326, 325, 6119, 1070, 799, 454, 935, 13935, 10974, 267, 10997, 267, 543, 7636, 10739, 1023, 563, 13449, 300, 8008, 3722, 267, 17449, 2107, 321, 1388, 623, 3722, 330, 720, 267, 1857, 6389, 563, 297, 28485, 14509, 543, 11339, 623, 304, 305, 6119, 269, 1717, 267, 2094, 789, 616, 1360, 2147, 547, 454, 335, 27219, 6119, 267, 789, 949, 581, 3765, 1348, 563, 268, 19405, 1489, 281, 2542, 533, 336, 337, 3323, 693, 808, 28485, 642, 269, 476, 1556, 269, 272, 269, 1789, 282, 1603, 533, 336, 337, 6119, 3323, 693, 642, 269, 476, 1321, 269, 274, 269, 273, 454, 268, 1403, 519, 3758, 3568, 513, 1899, 602, 6238, 609, 834, 3918, 300, 2752, 298, 476, 272, 623, 304, 305, 257, 630, 274, 5624, 1354, 519, 1412, 272, 3299, 835, 1310, 621, 1070, 621, 786, 581, 14648, 607, 454, 335, 336, 337, 8971, 269, 19227, 267, 808, 28485, 786, 4612, 621, 607, 513, 454, 335, 323, 8578, 850, 630, 663, 865, 786, 711, 1205, 519, 5279, 543, 2234, 4512, 2953, 1040, 1677, 3196, 519, 3758, 581, 1224, 607, 454, 335, 336, 337, 15311, 3286, 1354, 519, 3758, 12949, 538, 519, 454, 2903, 12252, 267, 899, 713, 912, 335, 336, 337, 568, 513, 3898, 1759, 593, 454, 335, 27219, 267, 1141, 519, 5003, 3599, 568, 8719, 609, 519, 10570, 5279, 543, 519, 2837, 630, 528, 645, 3815, 264, 568, 8719, 609, 10570, 8953, 630, 6011, 1197, 267, 519, 6241, 7158, 538, 1082, 533, 336, 337, 6119, 798, 711, 6474, 1346, 540, 19073, 321, 6119, 1040, 901, 3947, 519, 27099, 281, 623, 585, 19073, 321, 267, 1627, 585, 5279, 267, 681, 585, 8953, 269, 808, 28485, 3705, 1206, 519, 5279, 2418, 630, 27393, 1399, 9864, 8408, 264, 543, 519, 2234, 4512, 630, 27393, 1399, 642, 6387, 11445, 1023, 1070, 543, 666, 8754, 946, 873, 552, 3052, 269, 538, 454, 10233, 8444, 9864, 2419, 1618, 543, 454, 335, 336, 337, 3898, 814, 10169, 7334, 8129, 267, 855, 568, 1031, 676, 1896, 12985, 7350, 15004, 267, 1519, 19294, 4696, 267, 16790, 291, 1442, 543, 6673, 7034, 267, 585, 799, 621, 568, 519, 3119, 3403, 3898, 563, 303, 304, 305, 3898, 6609, 269, 8074, 602, 6673, 7034, 14509, 623, 304, 305, 29101, 267, 1759, 1152, 593, 3043, 2230, 1642, 574, 527, 619, 267, 855, 808, 28485, 949, 581, 811, 7453, 827, 6241, 7158, 563, 29613, 958, 267, 835, 1058, 1246, 519, 19113, 289, 16551, 267, 799, 616, 912, 268, 19073, 321, 5003, 3599, 1315, 533, 336, 337, 5279, 281, 9587, 476, 4649, 547, 476, 2568, 267, 8918, 1448, 693, 476, 6812, 563, 268, 19073, 321, 645, 29969, 1315, 533, 336, 337, 8953, 281, 9587, 476, 8618, 547, 476, 5780, 267, 8918, 1448, 693, 476, 5038, 563, 335, 27219, 6119, 666, 581, 10736, 547, 454, 335, 336, 337, 676, 519, 19113, 289, 273, 303, 304, 305, 3301, 267, 799, 8591, 7508, 7250, 8444, 543, 21410, 519, 5279, 543, 8953, 6724, 689, 513, 3099, 540, 3196, 4610, 563, 297, 28485, 630, 1556, 269, 278, 610, 2663, 264, 14509, 7636, 6384, 3977, 6119, 689, 2549, 828, 269, 634, 6119, 564, 1590, 723, 513, 2497, 899, 912, 272, 630, 9008, 1108, 3758, 264, 1341, 562, 630, 1723, 15453, 6119, 994, 16344, 614, 4781, 540, 519, 454, 2903, 4971, 666, 581, 1031, 267, 607, 1134, 607, 513, 1007, 4781, 547, 1450, 16496, 834, 14140, 267, 18431, 267, 21163, 257, 15205, 540, 11282, 24551, 563, 263, 1607, 568, 16861, 543, 2115, 4152, 1040, 1411, 666, 1294, 606, 1383, 563, 309, 4968, 271, 630, 15228, 344, 343, 11022, 299, 994, 297, 28485, 14509, 6119, 3977, 689, 519, 12985, 7998, 10189, 1627, 4211, 1335, 269, 6423, 519, 1627, 4211, 1335, 1808, 3296, 563, 1607, 568, 519, 5065, 3898, 689, 808, 10933, 17449, 15503, 630, 2421, 8834, 661, 4135, 331, 1916, 297, 28485, 630, 1556, 269, 279, 264, 666, 1224, 454, 269, 3250, 6119, 538, 519, 595, 17129, 7968, 3898, 630, 21671, 13350, 10465, 2175, 1916, 268, 595, 17129, 7968, 568, 513, 3301, 10189, 799, 3096, 5860, 6198, 3069, 547, 1683, 513, 1434, 10570, 7400, 6609, 540, 782, 6073, 540, 2326, 543, 6675, 563, 297, 28485, 630, 1556, 269, 279, 264, 666, 1224, 454, 613, 5852, 23357, 6119, 538, 519, 674, 26980, 268, 2727, 338, 3898, 630, 18485, 12440, 3631, 543, 13350, 10465, 2175, 1916, 268, 674, 26980, 268, 2727, 338, 630, 5228, 674, 761, 345, 6953, 629, 518, 268, 9743, 26623, 3541, 7665, 268, 23945, 1188, 8566, 525, 20635, 577, 10762, 264, 568, 606, 782, 3887, 937, 1258, 5907, 2497, 3009, 1759, 593, 25948, 11046, 19721, 10739, 1023, 563, 297, 28485, 630, 1556, 269, 280, 269, 1691, 264, 666, 1224, 667, 16165, 2839, 6119, 282, 713, 3898, 568, 513, 20902, 11269, 540, 3977, 689, 513, 3099, 540, 7061, 7344, 9819, 15004, 267, 1519, 2523, 5084, 293, 630, 8649, 23165, 25670, 23398, 1916, 297, 28485, 630, 1321, 269, 274, 269, 278, 264, 666, 1930, 6119, 609, 2098, 2173, 520, 3700, 1239, 267, 606, 4835, 11282, 6041, 267, 602, 2488, 585, 1142, 11046, 922, 3693, 3090, 267, 6125, 13080, 267, 6125, 7285, 543, 1019, 14366, 7285, 269, 901, 3898, 568, 1031, 552, 3052, 269, 676, 519, 631, 8008, 3722, 630, 300, 12817, 2107, 321, 1388, 623, 3722, 330, 720, 264, 3292, 563, 1607, 3898, 786, 581, 10924, 950, 2542, 513, 3758, 4171, 1543, 6238, 609, 454, 258, 313, 21316, 6020, 311, 610, 676, 1210, 454, 12179, 1899, 602, 6238, 609, 1948, 786, 581, 3144, 607, 513, 6085, 630, 663, 621, 666, 2270, 606, 538, 1467, 7097, 1040, 2349, 1678, 3515, 616, 16053, 563, 12179, 2990, 1297, 949, 581, 8719, 676, 513, 2189, 11046, 2012, 266, 15893, 630, 553, 538, 1383, 1297, 476, 274, 2630, 1916, 291, 16244, 8444, 616, 4847, 267, 1210, 2473, 610, 2473, 333, 563, 289, 1180, 1931, 949, 581, 9138, 607, 606, 3606, 8870, 593, 519, 1899, 563, 258, 313, 21316, 6020, 311, 1948, 15655, 595, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 13651, 476, 274, 13651, 476, 6344, 269, 1822, 271, 670, 13651, 26115, 476, 272, 476, 272, 269, 5400, 280, 1822, 13651, 476, 273, 13651, 476, 11820, 269, 5325, 272, 271, 13651, 476, 274, 910, 6344, 269, 1822, 271, 454, 258, 313, 21316, 6020, 311, 1948, 3327, 8166, 595, 744, 13651, 476, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 476, 273, 13651, 744, 13651, 476, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 476, 273, 13651, 476, 5197, 13651, 26115, 26115, 26115, 476, 273, 454, 258, 313, 21316, 6020, 311, 1948, 3327, 8166, 595, 272, 744, 272, 595, 272, 476, 272, 269, 4968, 271, 13651, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 26115, 476, 273, 744, 273, 595, 272, 476, 272, 269, 4968, 271, 13651, 744, 272, 13651, 476, 5197, 13651, 26115, 26115, 476, 273, 454, 258, 313, 21316, 6020, 311, 1948, 20342, 630, 6748, 2241, 7285, 1152, 264, 1948, 13651, 20134, 3845, 6920, 602, 519, 2034, 5086, 568, 513, 3339, 5086, 267, 711, 513, 1019, 14366, 281, 715, 272, 670, 272, 715, 272, 476, 272, 269, 271, 670, 273, 715, 272, 476, 272, 269, 271, 670, 272, 476, 13040, 13651, 670, 274, 715, 272, 910, 272, 269, 271, 670, 272, 476, 13040, 670, 273, 476, 13040, 454, 258, 313, 21316, 6020, 311, 1948, 20342, 630, 6748, 2241, 7285, 1152, 264, 1948, 20134, 3845, 543, 835, 2942, 5086, 10941, 525, 519, 669, 597, 1275, 281, 715, 272, 670, 272, 715, 272, 476, 272, 269, 271, 670, 273, 715, 272, 476, 272, 269, 271, 670, 272, 476, 13040, 670, 274, 715, 272, 910, 272, 269, 271, 670, 272, 910, 13040, 670, 273, 476, 13040, 454, 1607, 3898, 568, 711, 6462, 676, 808, 28485, 269, 1452, 4967, 616, 1934, 585, 2104, 4704, 563, 298, 20003, 630, 298, 9680, 294, 11906, 9577, 264, 3898, 568, 519, 3044, 1031, 676, 519, 19109, 9369, 15610, 540, 2637, 525, 543, 2637, 2345, 630, 298, 9680, 294, 264, 543, 519, 12754, 585, 769, 26197, 540, 31946, 3699, 693, 590, 24499, 630, 305, 5058, 306, 1040, 898, 568, 10169, 2147, 547, 519, 12387, 3898, 563, 268, 4886, 540, 513, 3114, 2497, 6476, 1505, 585, 7471, 2079, 540, 3114, 543, 22308, 1344, 538, 519, 10894, 11444, 269, 631, 269, 670, 3430, 9461, 267, 962, 269, 21411, 684, 334, 267, 590, 269, 717, 9369, 267, 631, 269, 918, 2033, 327, 13453, 630, 1220, 274, 264, 4750, 540, 519, 1977, 11906, 5980, 476, 10219, 281, 14093, 7871, 268, 14093, 4792, 20163, 281, 13970, 4962, 275, 5881, 8222, 281, 1015, 269, 9083, 272, 10768, 320, 271, 3607, 27157, 340, 454, 297, 28485, 814, 513, 3908, 12588, 585, 1603, 7636, 10974, 267, 1519, 1152, 519, 4867, 5697, 1305, 540, 8444, 269, 630, 1607, 2636, 547, 4688, 519, 2898, 2203, 267, 6148, 538, 513, 3898, 1114, 689, 519, 3312, 835, 267, 610, 547, 1349, 513, 15410, 540, 519, 8444, 538, 519, 3312, 2203, 1916, 18814, 547, 10084, 3354, 27047, 6493, 267, 1152, 519, 3498, 543, 519, 9896, 813, 2280, 666, 2328, 547, 6119, 593, 12210, 269, 634, 5667, 11220, 813, 2280, 666, 2705, 4159, 519, 29633, 1239, 538, 519, 23641, 6885, 267, 689, 1141, 596, 666, 5299, 621, 267, 13594, 883, 513, 1257, 9375, 543, 4688, 621, 547, 3758, 563, 18744, 631, 5357, 267, 2473, 312, 313, 543, 19113, 289, 12043, 616, 6462, 585, 13143, 269, 634, 1505, 568, 547, 946, 519, 454, 31095, 4971, 630, 5228, 7097, 610, 689, 519, 23641, 1916, 763, 3498, 666, 849, 13143, 547, 21714, 3403, 3898, 1210, 519, 1283, 10624, 543, 513, 13972, 269, 0, 4913, 267, 1082, 824, 2188, 666, 3310, 4463, 1282, 1646, 267, 1519, 6484, 267, 10399, 267, 2534, 2157, 267, 543, 17421, 540, 2462, 18849, 344, 2175, 269, 901, 1797, 267, 585, 3236, 267, 602, 7381, 1004, 4043, 547, 723, 1453, 945, 849, 1332, 909, 547, 581, 7381, 269, 4658, 2356, 1332, 2394, 789, 3914, 476, 1240, 1296, 540, 2085, 269, 6969, 1287, 267, 513, 2039, 540, 2825, 2188, 666, 1860, 875, 7381, 789, 1831, 563, 10932, 2982, 602, 707, 588, 1155, 666, 3310, 3388, 689, 707, 1981, 540, 2295, 2068, 543, 2860, 547, 707, 4747, 543, 9228, 4482, 4369, 269, 8866, 3100, 547, 17708, 339, 3533, 2443, 1175, 2307, 1022, 2385, 945, 814, 547, 1832, 9140, 1007, 9660, 3923, 1310, 3923, 267, 2473, 1091, 17476, 585, 9042, 1310, 1032, 563, 4692, 596, 3247, 3054, 689, 3395, 26339, 888, 3719, 875, 4010, 1281, 2208, 4755, 286, 4658, 1332, 693, 741, 16595, 2557, 607, 715, 8775, 2021, 540, 2527, 11637, 538, 519, 1101, 1032, 540, 1272, 267, 4946, 827, 476, 1015, 6279, 547, 741, 4463, 689, 4332, 547, 2085, 476, 272, 267, 1310, 799, 4463, 4679, 10169, 20406, 543, 24076, 2282, 607, 6385, 2394, 18273, 267, 2687, 547, 519, 1977, 9142, 540, 27435, 563, 294, 597, 3149, 2356, 3247, 3395, 1079, 547, 1614, 1296, 1310, 789, 1205, 741, 1974, 267, 543, 1247, 930, 8695, 3914, 741, 2937, 4463, 538, 1164, 1153, 267, 1866, 3136, 3395, 883, 741, 2038, 1000, 550, 625, 269, 17451, 2220, 792, 602, 707, 1126, 814, 6738, 26339, 16074, 888, 30342, 1932, 7381, 610, 1932, 2110, 454, 2791, 949, 581, 1318, 269, 769, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 3013, 729, 1753, 547, 519, 25441, 678, 338, 929, 17892, 1004, 538, 519, 1158, 267, 855, 2221, 602, 8956, 4422, 547, 519, 13814, 269, 4653, 267, 10656, 2367, 543, 2021, 3328, 476, 277, 3952, 543, 476, 276, 3952, 476, 277, 563, 3963, 519, 17277, 538, 13354, 588, 1155, 286, 3807, 899, 707, 2597, 11385, 919, 2429, 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 ]

[ 5325, 263, 273, 1070, 476, 25908, 1700, 15996, 8222, 281, 1015, 269, 1911, 278, 4882, 13199, 2568, 268, 25320, 268, 4817, 275, 271, 268, 275, 1496, 24340, 316, 20163, 281, 25240, 23470, 11025, 454, 268, 661, 653, 338, 267, 674, 1421, 28024, 5404, 267, 700, 269, 1299, 4325, 19816, 267, 808, 269, 918, 269, 630, 1001, 277, 1040, 1215, 798, 649, 3895, 1072, 286, 3245, 519, 1913, 540, 3979, 1977, 22242, 609, 12110, 543, 741, 1920, 2818, 269, 3194, 538, 15168, 2632, 1670, 16711, 267, 476, 280, 263, 277, 1070, 476, 30116, 1700, 27868, 8222, 281, 1015, 269, 4375, 273, 279, 270, 3707, 271, 5392, 2641, 268, 1001, 2568, 280, 2764, 268, 4905, 1496, 24340, 316, 20163, 281, 30116, 4649, 273, 6078, 454, 268, 13983, 518, 267, 667, 269, 645, 269, 1299, 2806, 601, 267, 654, 269, 631, 269, 630, 1001, 278, 1040, 16241, 4882, 2869, 3770, 12003, 538, 4587, 3979, 1977, 2021, 269, 19120, 5511, 7797, 267, 476, 2420, 263, 272, 1070, 476, 26801, 1700, 18605, 563, 268, 16803, 267, 808, 269, 645, 1421, 9995, 601, 22603, 267, 631, 1421, 18703, 267, 589, 269, 667, 1421, 589, 3258, 19789, 267, 631, 269, 1299, 918, 14535, 580, 267, 670, 269, 717, 269, 630, 1001, 274, 1040, 968, 2791, 991, 513, 5152, 547, 3142, 596, 998, 27535, 634, 946, 540, 3909, 8964, 547, 4383, 17173, 1272, 2621, 269, 634, 15168, 2632, 6048, 267, 476, 7871, 263, 272, 1070, 476, 2918, 1700, 4343, 8222, 281, 1015, 269, 11820, 274, 270, 3455, 2632, 17320, 985, 271, 5038, 1496, 24340, 316, 20163, 281, 18597, 279, 3445, 2537, 454, 268, 918, 14535, 580, 267, 670, 269, 717, 269, 630, 1001, 273, 1040, 15215, 267, 17035, 267, 543, 1072, 281, 634, 1382, 543, 4791, 6286, 269, 4959, 305, 301, 24741, 267, 476, 1001, 273, 267, 476, 30116, 278, 1789, 8222, 281, 1015, 269, 25851, 273, 270, 1001, 273, 270, 30116, 278, 1789, 1496, 24340, 316, 20163, 281, 26801, 277, 2767, 5038, 454, 268, 918, 14535, 580, 267, 670, 269, 717, 269, 1299, 645, 1380, 532, 267, 589, 269, 630, 1001, 271, 1040, 634, 16099, 2160, 15215, 12039, 630, 291, 13543, 299, 2567, 589, 2947, 6221, 2268, 585, 946, 538, 16917, 8344, 2090, 269, 9671, 687, 267, 476, 272, 267, 476, 4281, 1700, 5952, 8222, 281, 1015, 269, 26552, 271, 270, 7758, 6200, 23669, 279, 1496, 24340, 2639, 268, 918, 14535, 580, 267, 670, 269, 717, 1421, 3751, 267, 667, 269, 661, 269, 1299, 23663, 517, 267, 966, 269, 645, 269, 630, 1001, 273, 1040, 18361, 540, 4984, 543, 1072, 269, 10228, 2160, 4964, 563, 268, 918, 14535, 580, 267, 670, 269, 717, 1421, 15651, 267, 2098, 1421, 1325, 2098, 629, 523, 267, 674, 269, 1299, 1520, 328, 267, 589, 269, 630, 1001, 276, 1040, 27801, 883, 11059, 17361, 281, 589, 3102, 543, 6213, 2268, 540, 3909, 9525, 269, 9671, 687, 267, 476, 277, 263, 274, 1070, 476, 1911, 277, 1700, 6200, 277, 8222, 281, 1015, 269, 26552, 271, 270, 7758, 2568, 274, 1911, 277, 1496, 24340, 2639, 268, 29485, 267, 700, 269, 667, 269, 1299, 667, 3326, 1695, 924, 267, 667, 269, 595, 269, 630, 1001, 272, 1040, 14086, 519, 10096, 543, 17444, 856, 519, 3157, 689, 6530, 540, 4984, 781, 9756, 7823, 269, 10017, 540, 15215, 543, 20154, 640, 267, 476, 274, 267, 476, 8687, 1700, 4350, 8222, 281, 1015, 269, 9818, 278, 21669, 16573, 13136, 277, 1496, 24340, 2639, 268, 5062, 3849, 5622, 267, 670, 269, 623, 269, 630, 1220, 278, 1040, 3979, 1977, 15295, 2592, 269, 769, 4563, 3885, 630, 275, 628, 1196, 1421, 6032, 269, 476, 14991, 1700, 14378, 1040, 590, 720, 269, 8222, 281, 1015, 269, 31979, 276, 270, 7818, 13970, 19442, 2568, 273, 277, 8542, 1556, 1496, 24340, 2639, 268, 631, 4026, 340, 807, 267, 590, 269, 630, 1001, 272, 1040, 9671, 6685, 269, 769, 14068, 773, 267, 645, 1421, 19161, 267, 667, 11607, 19913, 29754, 518, 1299, 5651, 331, 3626, 267, 700, 269, 630, 32295, 13776, 4139, 22605, 540, 2797, 2257, 630, 653, 269, 476, 26297, 274, 1700, 26297, 275, 1040, 590, 720, 269, 8222, 281, 1015, 269, 31979, 276, 270, 7818, 15221, 27768, 280, 8287, 277, 8542, 31982, 1496, 24340, 2639, 268, 623, 1173, 3512, 267, 918, 269, 594, 269, 1299, 681, 2967, 5984, 267, 670, 269, 589, 269, 630, 1220, 278, 1040, 589, 8717, 540, 1382, 593, 519, 6530, 540, 4984, 543, 12003, 281, 12085, 649, 10924, 543, 4245, 649, 4121, 269, 623, 1910, 651, 1299, 8298, 657, 267, 476, 2764, 267, 476, 278, 5655, 1700, 278, 5780, 563, 268, 623, 3430, 2581, 267, 590, 269, 630, 1001, 274, 1040, 15215, 267, 17035, 543, 1072, 1416, 281, 4762, 16272, 267, 13253, 267, 3255, 269, 2657, 5516, 5811, 267, 476, 2641, 263, 274, 1070, 476, 4350, 1700, 21709, 8222, 281, 1015, 269, 1911, 278, 4882, 13040, 2764, 268, 25320, 268, 271, 2190, 276, 268, 275, 1496, 24340, 316, 20163, 281, 20720, 27151, 10436, 454, 268, 623, 1168, 17072, 269, 630, 1001, 276, 1040, 476, 1001, 275, 3909, 5251, 1353, 269, 623, 1168, 3194, 4741, 563, 268, 15887, 514, 578, 6308, 267, 962, 269, 717, 1421, 8575, 639, 22138, 267, 645, 269, 570, 1421, 2311, 330, 8657, 267, 623, 269, 808, 269, 1299, 11829, 698, 615, 268, 1320, 15106, 267, 667, 269, 630, 1220, 280, 1040, 634, 2078, 1063, 2538, 6685, 543, 1072, 5615, 538, 4775, 15637, 540, 4587, 4079, 609, 12110, 269, 28544, 1299, 10076, 2657, 267, 476, 1724, 263, 277, 1070, 476, 4281, 279, 1700, 278, 7176, 8222, 281, 1015, 269, 10482, 271, 270, 15793, 271, 4281, 2568, 280, 27157, 275, 5038, 5379, 1496, 24340, 316, 20163, 281, 2735, 6434, 277, 4200, 454, 268, 1530, 26223, 5652, 267, 681, 269, 700, 269, 630, 2735, 274, 1040, 634, 3909, 13210, 540, 1072, 1416, 281, 589, 12497, 1935, 269, 4750, 540, 6481, 15979, 267, 476, 280, 263, 274, 1070, 476, 13679, 1700, 15433, 8222, 281, 1015, 269, 13647, 277, 10768, 1889, 269, 280, 269, 274, 269, 13679, 1496, 24340, 316, 20163, 281, 5780, 273, 271, 3953, 273, 454, 268, 4787, 23124, 267, 589, 1421, 18703, 267, 570, 269, 808, 269, 1299, 29485, 267, 700, 269, 630, 1001, 279, 1040, 968, 763, 19001, 540, 1866, 5280, 27535, 3955, 947, 800, 11755, 607, 513, 2707, 540, 12003, 543, 6043, 538, 4168, 3979, 1977, 3885, 269, 4750, 540, 15215, 1299, 20154, 640, 538, 4317, 4518, 267, 476, 4391, 263, 275, 1070, 476, 32699, 1700, 4375, 275, 8222, 281, 1015, 269, 10482, 271, 270, 15150, 25784, 3953, 269, 1001, 279, 269, 5611, 6021, 278, 271, 1496, 24340, 2639, 268, 590, 592, 5733, 344, 267, 667, 269, 623, 269, 630, 1220, 280, 1040, 20154, 640, 267, 4984, 267, 543, 4791, 1416, 269, 30446, 267, 476, 13670, 263, 277, 1070, 476, 14321, 275, 1700, 13932, 273, 8222, 281, 1015, 269, 15389, 279, 270, 3832, 560, 269, 5400, 268, 23470, 272, 1496, 24340, 316, 20163, 281, 3707, 7818, 7176, 454, 268, 13177, 267, 681, 269, 808, 1421, 13378, 1562, 267, 700, 269, 631, 269, 1299, 2274, 9109, 267, 808, 269, 630, 1220, 275, 1040, 15215, 538, 519, 2729, 540, 3979, 4892, 1514, 267, 5626, 267, 543, 1072, 5380, 269, 590, 720, 563, 268, 27347, 267, 681, 269, 667, 269, 1299, 645, 677, 872, 267, 667, 269, 590, 269, 630, 1001, 273, 1040, 968, 4692, 649, 2911, 827, 519, 4287, 540, 713, 5939, 9495, 281, 634, 1764, 540, 30506, 543, 4655, 593, 15940, 10118, 262, 2078, 609, 3909, 5238, 269, 4750, 540, 9012, 543, 15215, 267, 476, 1556, 267, 476, 1220, 1700, 21497, 8222, 281, 1015, 269, 10482, 271, 270, 14631, 4366, 275, 2537, 269, 1001, 273, 269, 278, 1789, 20065, 1496, 24340, 2639, 268, 2098, 20810, 267, 2098, 1421, 808, 16925, 267, 595, 1421, 15616, 340, 267, 595, 269, 570, 1421, 2986, 23264, 531, 267, 631, 269, 645, 1421, 10162, 14765, 267, 674, 269, 1299, 590, 7159, 334, 267, 962, 269, 630, 1001, 277, 1040, 20154, 640, 267, 2538, 6685, 267, 10172, 543, 1072, 538, 2518, 5133, 281, 589, 2689, 269, 9399, 300, 910, 15510, 2657, 267, 476, 273, 267, 476, 32699, 1700, 4343, 272, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 1087, 332, 874, 269, 1001, 277, 269, 6860, 269, 27947, 1496, 24340, 316, 20163, 281, 27840, 5392, 272, 7918, 0, 301, 792, 6792, 538, 9947, 328, 1092, 6019, 267, 12425, 2443, 634, 1977, 29036, 630, 300, 573, 268, 4263, 23007, 994, 292, 5550, 539, 476, 3707, 278, 676, 12425, 8466, 543, 7467, 8189, 563, 12749, 923, 543, 3126, 269, 901, 3140, 15262, 568, 7396, 538, 891, 1888, 8638, 281, 7111, 4892, 3040, 10003, 338, 1299, 30863, 269, 769, 1840, 267, 621, 568, 3769, 538, 519, 12425, 8466, 543, 7467, 8189, 3126, 1592, 563, 19613, 269, 4460, 518, 814, 1044, 8697, 269, 476, 2412, 4113, 476, 3953, 269, 10436, 12664, 715, 267, 476, 6507, 4113, 476, 2420, 269, 6021, 272, 12664, 654, 269, 4460, 518, 568, 2282, 6792, 267, 12425, 267, 538, 9947, 328, 1092, 6019, 269, 4460, 518, 568, 593, 5261, 24282, 23681, 630, 308, 2529, 269, 476, 2420, 264, 476, 271, 269, 272, 5195, 7178, 540, 12425, 27953, 476, 4037, 267, 593, 519, 1318, 950, 10707, 7532, 269, 25291, 585, 4786, 269, 4460, 518, 568, 538, 713, 2022, 5604, 1858, 281, 6792, 13698, 476, 10204, 6321, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 476, 274, 5195, 540, 713, 4087, 267, 6027, 607, 519, 7715, 13733, 269, 10783, 645, 662, 600, 630, 12671, 476, 7785, 3952, 2476, 267, 6027, 538, 513, 1463, 1899, 5148, 6792, 630, 13627, 269, 476, 272, 269, 272, 5195, 2476, 5148, 21701, 24104, 1222, 27851, 17341, 27254, 24305, 630, 13627, 269, 476, 272, 269, 272, 5195, 2476, 5148, 3689, 6519, 5590, 25557, 538, 519, 9947, 328, 1092, 9503, 2051, 269, 5261, 4793, 1562, 517, 630, 13627, 269, 476, 272, 269, 273, 5195, 2476, 5148, 4793, 1562, 517, 781, 10783, 630, 13627, 269, 476, 272, 269, 273, 5195, 2476, 5148, 9947, 328, 1092, 6019, 630, 13627, 269, 476, 273, 269, 272, 5195, 2476, 5148, 9947, 328, 1092, 6019, 2782, 17341, 630, 13627, 269, 476, 273, 269, 273, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 6792, 563, 5415, 827, 713, 15262, 269, 4460, 518, 814, 15468, 856, 540, 922, 7406, 267, 7508, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4873, 476, 274, 267, 476, 1001, 279, 269, 898, 729, 8385, 11643, 593, 4873, 476, 274, 267, 476, 1001, 279, 267, 676, 19375, 12736, 3410, 656, 601, 540, 29016, 267, 12425, 269, 901, 2985, 814, 1044, 9763, 476, 6858, 2053, 2094, 1287, 543, 476, 1321, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 269, 11643, 593, 4873, 476, 274, 267, 476, 1001, 279, 267, 676, 19375, 12736, 3410, 656, 601, 540, 29016, 267, 12425, 563, 29394, 779, 1616, 2000, 626, 585, 713, 15262, 269, 17421, 540, 519, 15262, 1991, 1354, 2469, 7508, 269, 3040, 2052, 596, 948, 286, 0, 763, 4098, 540, 519, 476, 2641, 560, 2540, 814, 2938, 811, 6639, 8441, 982, 1022, 824, 942, 538, 938, 1686, 267, 693, 606, 23960, 2557, 540, 1689, 269, 2311, 519, 942, 540, 1603, 267, 649, 616, 7487, 519, 4367, 540, 17562, 267, 5444, 3797, 543, 29113, 883, 3677, 543, 3677, 3344, 540, 1072, 1416, 799, 267, 950, 5916, 609, 8441, 538, 7384, 1379, 602, 786, 4166, 9765, 519, 4393, 1379, 540, 519, 1480, 2634, 267, 649, 3100, 26405, 593, 519, 1490, 1074, 540, 513, 6521, 538, 938, 1620, 540, 1018, 621, 1797, 547, 581, 1480, 269, 769, 1840, 547, 519, 6654, 3310, 540, 1344, 543, 2792, 2029, 593, 1514, 3889, 267, 649, 616, 849, 7680, 513, 6521, 689, 7299, 2792, 3889, 602, 17979, 25327, 540, 1852, 267, 547, 8880, 3889, 1107, 899, 5121, 1107, 602, 18220, 11558, 267, 9316, 543, 5698, 630, 289, 548, 752, 2917, 267, 2349, 662, 267, 645, 992, 928, 1299, 5696, 823, 645, 992, 928, 269, 476, 1001, 272, 1040, 17859, 540, 1018, 649, 1289, 713, 2686, 6521, 538, 5133, 630, 14006, 19640, 640, 267, 3735, 29678, 267, 543, 2022, 16058, 1143, 616, 782, 1031, 10169, 954, 577, 836, 2406, 1070, 1018, 6927, 568, 875, 649, 7259, 6000, 547, 519, 2104, 630, 756, 573, 28593, 11693, 519, 9165, 540, 891, 2242, 543, 741, 17149, 1764, 593, 1072, 22825, 2069 ]

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

[ 2705, 267, 1018, 568, 519, 2495, 540, 519, 3970, 3294, 286, 1403, 649, 1500, 1450, 1734, 585, 1016, 16647, 2827, 602, 4865, 1114, 9019, 7182, 610, 2825, 2175, 602, 1689, 519, 3970, 267, 621, 1131, 581, 2556, 547, 15093, 519, 10206, 540, 513, 8471, 9019, 3970, 563, 13706, 519, 3390, 540, 4719, 13260, 269, 1703, 616, 2609, 540, 519, 1480, 26737, 602, 1397, 3592, 1100, 13260, 630, 18314, 4064, 267, 1079, 7953, 267, 476, 1015, 11263, 267, 476, 5379, 15954, 1070, 1317, 538, 891, 3871, 1034, 13592, 616, 18111, 614, 1190, 269, 1703, 616, 824, 4162, 602, 1397, 9645, 13260, 630, 327, 1515, 543, 2960, 2681, 267, 4463, 267, 4987, 1070, 1317, 16817, 1014, 5542, 1281, 711, 9244, 3870, 835, 26737, 936, 1776, 269, 769, 1970, 2173, 677, 1275, 5095, 267, 15325, 4440, 8813, 883, 519, 8545, 7121, 267, 1317, 2022, 10517, 8793, 6668, 666, 723, 1152, 3908, 16496, 3310, 563, 10387, 2869, 1227, 267, 649, 917, 689, 18618, 2090, 602, 10199, 835, 10116, 540, 519, 13260, 538, 1367, 6502, 693, 2669, 949, 581, 1813, 547, 4719, 2188, 630, 18250, 294, 826, 1696, 620, 1421, 476, 1960, 274, 282, 670, 619, 11779, 1696, 620, 1421, 476, 1960, 277, 1040, 4475, 267, 621, 1058, 581, 2009, 547, 1265, 1016, 25364, 540, 519, 1480, 2551, 602, 723, 606, 8966, 4719, 1439, 578, 618, 585, 15325, 269, 1280, 513, 5697, 1016, 28134, 267, 649, 1522, 7747, 3328, 9019, 2157, 602, 2887, 2630, 519, 7811, 5934, 267, 799, 10039, 547, 513, 4351, 3732, 540, 519, 2698, 1480, 2551, 269, 769, 1840, 267, 621, 568, 2009, 602, 713, 7811, 5934, 1223, 1689, 936, 942, 267, 607, 513, 1267, 540, 16817, 1014, 5542, 267, 4719, 20847, 267, 610, 6857, 12879, 630, 572, 29193, 9960, 610, 4719, 4702, 1916, 11997, 267, 585, 519, 3483, 540, 7234, 10700, 9019, 7182, 267, 594, 8263, 602, 519, 4229, 540, 16817, 1014, 5542, 543, 4719, 20847, 786, 723, 1152, 513, 30050, 1764, 593, 519, 11976, 540, 1480, 15325, 936, 519, 942, 16880, 540, 1719, 547, 1629, 20802, 543, 1514, 24990, 267, 799, 568, 5310, 476, 2004, 268, 1911, 1296, 269, 5015, 267, 4352, 621, 4667, 791, 337, 644, 550, 547, 1179, 3634, 827, 519, 1761, 1764, 602, 519, 6857, 12879, 540, 519, 1480, 11646, 1522, 723, 538, 713, 1858, 267, 782, 6898, 827, 10700, 9019, 7182, 1590, 8209, 8263, 606, 9000, 540, 3811, 3646, 547, 7369, 1480, 15325, 676, 713, 1797, 269, 7053, 267, 585, 713, 4901, 267, 594, 849, 10714, 519, 7872, 602, 4909, 2242, 538, 519, 3618, 781, 3235, 657, 903, 8894, 339, 655, 630, 7945, 607, 519, 20296, 2242, 2404, 609, 27230, 21971, 610, 1480, 14001, 834, 29514, 8337, 8442, 1522, 723, 513, 1713, 1198, 593, 1480, 9019, 2157, 538, 519, 1985, 2540, 563, 4415, 891, 9993, 543, 20340, 538, 2247, 267, 621, 568, 10257, 547, 2015, 693, 2547, 519, 7872, 602, 930, 4528, 540, 519, 3970, 1673, 626, 9084, 8367, 1522, 581, 3020, 269, 634, 2243, 2404, 609, 519, 8367, 1522, 581, 7150, 607, 5205, 281, 9717, 519, 1699, 4719, 5888, 540, 519, 1480, 2551, 543, 519, 2067, 1604, 607, 621, 6818, 2221, 267, 1281, 972, 2291, 606, 9048, 3027, 1043, 9019, 1377, 267, 6719, 676, 554, 16732, 343, 1070, 799, 3976, 10522, 606, 5580, 3970, 547, 519, 1611, 1272, 12732, 267, 610, 1272, 19104, 630, 8117, 711, 8209, 513, 13113, 5021, 1272, 12732, 25145, 2026, 609, 519, 1079, 19165, 5018, 5892, 267, 972, 723, 1044, 1896, 5717, 540, 713, 1888, 2907, 538, 519, 3332, 269, 25816, 613, 12251, 6261, 747, 520, 630, 4198, 273, 267, 476, 3192, 279, 1070, 918, 2335, 626, 334, 630, 2735, 279, 1070, 543, 744, 3149, 327, 753, 5652, 1696, 620, 269, 630, 1960, 271, 264, 723, 782, 1031, 2409, 585, 27985, 14874, 1978, 3123, 540, 2669, 607, 513, 1797, 540, 3695, 519, 2539, 7182, 540, 1480, 9019, 3928, 269, 634, 24134, 585, 971, 9273, 568, 519, 3661, 602, 1978, 834, 1410, 18100, 257, 3123, 540, 2669, 1223, 27985, 581, 17515, 267, 1247, 824, 834, 754, 18100, 257, 3123, 949, 6961, 703, 847, 762, 563, 2467, 616, 1896, 4128, 547, 10404, 1125, 519, 2014, 268, 601, 574, 1588, 12191, 267, 2705, 269, 3689, 267, 519, 1505, 3335, 3322, 606, 13429, 602, 519, 1585, 3123, 7500, 10446, 540, 835, 1776, 630, 7659, 325, 6308, 267, 476, 2735, 276, 1070, 799, 568, 711, 26363, 538, 1082, 3871, 630, 300, 656, 517, 1696, 620, 1421, 476, 1960, 272, 1040, 5015, 267, 519, 7811, 11984, 1063, 834, 754, 18100, 257, 543, 834, 1410, 18100, 257, 3123, 568, 2864, 19796, 1190, 269, 18200, 1275, 3928, 1813, 547, 865, 10777, 608, 18100, 3123, 630, 324, 3052, 1421, 11763, 2068, 267, 10913, 267, 11980, 264, 4043, 547, 2333, 609, 2085, 267, 5310, 10452, 606, 2799, 4412, 3748, 547, 13151, 3518, 547, 891, 3123, 607, 513, 1267, 540, 4835, 23979, 269, 2506, 2869, 673, 2963, 849, 9727, 602, 9019, 3928, 1813, 547, 865, 10777, 1439, 18100, 3123, 616, 3810, 4756, 267, 1312, 936, 942, 543, 2066, 5095, 269, 4935, 267, 621, 4667, 2693, 602, 3592, 782, 3123, 540, 2669, 616, 1312, 834, 1410, 18100, 257, 543, 834, 754, 18100, 257, 538, 2470, 269, 6684, 267, 519, 10206, 540, 2669, 1813, 14311, 547, 834, 1245, 2085, 5257, 610, 834, 11420, 1006, 2437, 799, 674, 1845, 630, 2735, 271, 264, 5219, 547, 607, 834, 11499, 2669, 2437, 814, 1044, 25921, 22309, 630, 19913, 928, 3187, 543, 7935, 11276, 267, 476, 2735, 274, 1916, 32701, 267, 2014, 268, 601, 574, 1588, 3631, 616, 711, 519, 1152, 1797, 540, 3695, 519, 10206, 540, 513, 9019, 3970, 3892, 269, 4033, 267, 6140, 740, 554, 665, 2409, 723, 849, 1044, 1031, 547, 7447, 835, 610, 811, 6724, 540, 713, 19858, 3892, 269, 1280, 1383, 267, 674, 1845, 630, 2735, 271, 264, 6508, 1010, 7447, 540, 519, 5021, 24276, 1480, 1272, 19104, 676, 970, 1905, 565, 908, 519, 2698, 1272, 19104, 693, 2085, 1547, 693, 1585, 6502, 269, 5221, 814, 12926, 1044, 8375, 1454, 1447, 6385, 693, 4587, 982, 693, 7820, 6502, 267, 519, 970, 1905, 565, 730, 14258, 1590, 5555, 12969, 269, 4340, 547, 674, 1845, 267, 713, 10167, 786, 2049, 1472, 519, 1032, 476, 14225, 276, 585, 519, 772, 2529, 269, 2551, 267, 950, 606, 834, 728, 531, 3328, 1272, 12732, 257, 540, 1472, 476, 5952, 1296, 1058, 581, 6913, 269, 901, 5021, 1272, 19104, 14687, 547, 674, 1845, 262, 834, 728, 958, 1412, 5550, 9771, 262, 6668, 7455, 257, 543, 3976, 547, 513, 12145, 9019, 3892, 563, 293, 1845, 262, 4661, 267, 2705, 267, 4667, 547, 11716, 519, 1966, 540, 513, 19944, 8462, 693, 454, 1492, 3970, 3294, 269, 4208, 1131, 519, 1585, 2418, 540, 1246, 5094, 267, 5276, 10092, 2394, 519, 1448, 540, 19427, 855, 1287, 19467, 543, 2611, 3586, 630, 19925, 476, 5952, 1296, 264, 27502, 286, 4982, 958, 5812, 609, 519, 12170, 2963, 11652, 811, 26363, 27985, 28934, 513, 12605, 602, 519, 2418, 540, 949, 1847, 6251, 936, 942, 2059, 20078, 559, 710, 541, 10092, 855, 2760, 1831, 3160, 269, 3245, 713, 5133, 267, 891, 14258, 1522, 610, 1522, 711, 581, 2219, 547, 4865, 606, 5580, 3970, 563, 7197, 2963, 689, 15295, 3466, 4667, 22522, 609, 519, 10206, 540, 513, 13113, 9019, 3970, 267, 855, 972, 616, 930, 1271, 2055, 540, 7664, 269, 1403, 972, 6818, 513, 1875, 25179, 2539, 3808, 585, 2085, 10391, 2669, 3928, 267, 875, 1131, 649, 917, 952, 621, 941, 16042, 286, 4107, 4589, 3100, 547, 8263, 602, 519, 1935, 547, 513, 3970, 1131, 581, 6353, 676, 513, 3500, 6658, 538, 519, 2557, 540, 9019, 7771, 936, 942, 269, 634, 9000, 540, 632, 5120, 566, 538, 519, 2557, 540, 9019, 7771, 267, 1287, 267, 568, 3144, 607, 2963, 602, 649, 616, 711, 4867, 16042, 513, 2539, 3970, 538, 9019, 3928, 563, 2690, 1383, 267, 519, 5786, 538, 2085, 10391, 2669, 3928, 585, 1034, 2919, 2477, 814, 1044, 513, 7123, 267, 1279, 3856, 1184, 269, 901, 3932, 568, 11609, 585, 519, 2136, 2276, 538, 7612, 476, 274, 268, 278, 267, 799, 2982, 2085, 14194, 3286, 539, 2669, 3928, 585, 2021, 543, 2367, 1282, 476, 5002, 271, 268, 1960, 273, 1759, 593, 4317, 8232, 1239, 630, 289, 749, 1696, 620, 1421, 476, 1960, 273, 1040, 901, 4137, 568, 6537, 1210, 513, 5033, 559, 690, 15162, 6193, 4336, 547, 14883, 609, 3044, 2259, 269, 4935, 267, 621, 568, 519, 3448, 267, 711, 6207, 267, 2557, 540, 9019, 7771, 602, 814, 1044, 7123, 563, 2252, 7612, 476, 274, 268, 278, 4951, 3466, 538, 2669, 3928, 585, 5094, 2085, 2516, 267, 519, 2489, 3932, 630, 1993, 7123, 7771, 264, 1131, 711, 1689, 269, 898, 1131, 581, 10423, 267, 2705, 267, 602, 519, 2557, 540, 6175, 814, 9867, 11104, 3585, 676, 2085, 281, 4352, 519, 4806, 814, 4957, 538, 2487, 1296, 267, 2669, 3928, 723, 3335, 15468, 1454, 811, 6385, 693, 7820, 982, 693, 4587, 6502, 269, 1879, 1818, 9019, 20327, 267, 621, 568, 6093, 547, 8263, 602, 519, 3604, 676, 2085, 538, 519, 10605, 540, 9019, 7771, 786, 3136, 883, 519, 2104, 630, 303, 3326, 731, 267, 476, 2735, 278, 282, 10557, 543, 25020, 267, 476, 1960, 273, 1916, 13295, 267, 519, 7678, 538, 7612, 476, 274, 268, 278, 568, 6766, 676, 519, 11999, 7771, 538, 10867, 543, 1126, 9019, 267, 543, 849, 676, 4130, 20214, 538, 2669, 3928, 693, 4587, 6502, 269, 3683, 519, 942, 1974, 3254, 1934, 267, 519, 3448, 2956, 547, 519, 2949, 9019, 7771, 540, 2242, 538, 7820, 543, 4587, 2085, 2516, 814, 20328, 3294, 269, 1306, 5941, 2630, 267, 519, 1034, 4028, 11081, 538, 9019, 616, 1631, 9648, 693, 4587, 6502, 267, 6466, 519, 6587, 729, 3020, 538, 4505, 21971, 540, 9019, 7771, 269, 4935, 267, 621, 568, 782, 519, 811, 7415, 602, 519, 7678, 538, 7612, 476, 274, 268, 278, 267, 799, 568, 513, 12432, 540, 3466, 2066, 519, 2085, 2039, 267, 7575, 18746, 609, 971, 2834, 640, 563, 763, 10605, 540, 2949, 9019, 7771, 814, 711, 267, 2705, 267, 1044, 3586, 269, 3245, 7612, 476, 274, 268, 278, 267, 621, 568, 10423, 711, 1152, 602, 972, 723, 1044, 5712, 540, 10231, 543, 632, 5120, 566, 855, 849, 2669, 3928, 723, 6410, 20406, 18746, 936, 519, 1279, 2196, 269, 12344, 519, 1034, 8049, 4183, 540, 7612, 476, 274, 268, 278, 568, 519, 29415, 602, 5526, 689, 1472, 476, 4198, 275, 547, 476, 3422, 279, 267, 2523, 585, 2367, 269, 589, 2143, 4901, 540, 713, 7613, 568, 2016, 676, 595, 3234, 332, 1231, 630, 2735, 272, 1070, 945, 23607, 891, 3466, 538, 2474, 540, 5817, 3123, 540, 2669, 269, 634, 1974, 1472, 519, 476, 3707, 271, 338, 729, 6353, 676, 1360, 4028, 9019, 7771, 267, 19962, 693, 2547, 538, 851, 547, 519, 2799, 946, 540, 3075, 454, 1492, 1905, 625, 267, 5097, 11216, 543, 9829, 320, 5061, 267, 538, 519, 2126, 540, 11763, 3676, 269, 1635, 519, 4571, 476, 4198, 271, 338, 267, 2705, 267, 519, 1761, 585, 2417, 5786, 676, 713, 1797, 729, 5176, 25356, 267, 543, 865, 519, 10605, 540, 2949, 9019, 7771, 30281, 14320, 585, 2021, 543, 3357, 547, 513, 2357, 3386, 26699, 585, 2367, 563, 290, 3234, 332, 1231, 2798, 856, 602, 519, 7678, 538, 5256, 9019, 1472, 519, 476, 3422, 271, 338, 729, 849, 4299, 676, 513, 7646, 2333, 538, 10795, 7972, 267, 538, 1880, 267, 7972, 1813, 547, 4630, 8336, 543, 11980, 269, 634, 759, 18870, 540, 4028, 9019, 7771, 538, 519, 2136, 2276, 1310, 476, 3422, 279, 267, 2705, 267, 8507, 689, 513, 1007, 1305, 540, 2242, 7133, 9025, 9019, 630, 328, 4318, 1421, 7972, 1813, 547, 2295, 2068, 267, 6147, 15842, 341, 6018, 2068, 267, 543, 12091, 3930, 16235, 1040, 1452, 2242, 3769, 1312, 1272, 2511, 630, 1410, 9052, 267, 2732, 267, 7296, 264, 543, 2564, 2188, 630, 17739, 547, 2126, 998, 5313, 3292, 267, 13178, 543, 2126, 540, 13119, 267, 14453, 543, 10551, 7459, 1040, 744, 9405, 547, 891, 7835, 267, 519, 3448, 2450, 540, 519, 7771, 538, 772, 2529, 269, 9019, 3928, 1282, 476, 3422, 279, 268, 3192, 278, 729, 3152, 693, 6502, 476, 5952, 543, 1657, 982, 585, 782, 824, 2085, 2516, 4849, 12256, 630, 290, 3234, 332, 1231, 267, 476, 2735, 272, 281, 15996, 1916, 1432, 729, 8345, 538, 824, 2919, 2477, 1282, 713, 942, 1974, 286, 589, 14887, 10605, 540, 9019, 7771, 1282, 519, 3735, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 2523, 585, 2367, 267, 729, 8984, 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 ]

[ 10784, 16325, 314, 6352, 16325, 9984, 272, 316, 10142, 2745, 5180, 23544, 263, 277, 267, 275, 267, 275, 3418, 0, 3698, 5595, 318, 10420, 19304, 273, 8029, 476, 1193, 272, 284, 3269, 1477, 476, 585, 1775, 538, 2039, 12759, 19304, 273, 264, 8029, 825, 1193, 272, 284, 1598, 272, 266, 273, 265, 1598, 273, 5157, 15947, 476, 2132, 1193, 272, 24653, 2745, 5595, 318, 10420, 2891, 17098, 268, 2467, 14744, 0, 3698, 1293, 318, 5271, 839, 25225, 2187, 825, 1293, 284, 271, 454, 825, 585, 1775, 538, 15358, 912, 1038, 952, 1775, 260, 273, 2525, 271, 912, 2018, 1293, 284, 12248, 266, 272, 454, 825, 2132, 1293, 22562, 2745, 1293, 318, 5271, 839, 8443, 273, 267, 273, 267, 271, 7481, 0, 3698, 1118, 10734, 9581, 4433, 332, 718, 14720, 580, 267, 2998, 531, 2187, 476, 585, 1535, 538, 2039, 263, 272, 14720, 580, 266, 272, 2187, 825, 585, 586, 538, 2039, 263, 272, 267, 20791, 266, 272, 2187, 8587, 952, 586, 266, 276, 20080, 2525, 2998, 531, 912, 1038, 2132, 6936, 692, 476, 2132, 8771, 454, 2745, 1118, 10734, 9581, 263, 1911, 1822, 271, 267, 1911, 271, 267, 1911, 18089, 271, 994 ]

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

[ 266, 12631, 21638, 8975, 363, 16061, 382, 486, 382, 496, 476, 277, 815, 476, 271, 454, 2862, 269, 476, 1428, 344, 273, 15512, 382, 486, 382, 496, 476, 1556, 11027, 21638, 22935, 1341, 476, 273, 815, 476, 271, 692, 291, 3925, 630, 277, 16061, 19050, 382, 497, 476, 1015, 2567, 769, 1142, 540, 519, 1739, 2055, 1079, 4834, 616, 2016, 269, 16534, 891, 4834, 543, 2285, 519, 2626, 912, 5416, 264, 952, 12631, 21638, 8975, 363, 16061, 382, 487, 8975, 363, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 3152, 982, 610, 3160, 547, 12631, 21638, 22935, 454, 6357, 264, 952, 12631, 21638, 8975, 363, 3436, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 3152, 982, 12631, 21638, 22935, 454, 6262, 264, 952, 12631, 21638, 8975, 363, 16061, 382, 487, 11366, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 1447, 982, 610, 3160, 547, 12631, 21638, 22935, 454, 5560, 264, 952, 12631, 21638, 8975, 363, 2999, 12631, 21638, 22935, 267, 1775, 4318, 1421, 12631, 21638, 8975, 363, 568, 1447, 982, 12631, 21638, 22935, 454, 16216, 264, 12631, 21638, 8975, 363, 815, 12631, 21638, 22935, 610, 1100, 6935, 666, 581, 3964, 1063, 12631, 21638, 8975, 363, 543, 12631, 21638, 22935, 692, 304, 277, 269, 630, 328, 264, 1535, 273, 1341, 476, 280, 815, 476, 10463, 454, 23870, 264, 586, 273, 815, 476, 24423, 692, 304, 278, 269, 630, 328, 264, 1535, 273, 1341, 476, 1556, 343, 1341, 476, 1240, 815, 476, 271, 454, 23870, 264, 586, 273, 1341, 476, 866, 344, 1341, 476, 3445, 815, 476, 271, 692, 304, 279, 269, 630, 328, 1040, 1535, 273, 3852, 496, 1109, 15512, 382, 486, 382, 496, 476, 1015, 11027, 21638, 8975, 363, 1341, 476, 2641, 815, 476, 271, 454, 23870, 1040, 586, 273, 16061, 19050, 382, 497, 476, 276, 11027, 21638, 22935, 1341, 476, 277, 815, 476, 271, 692, 304, 280, 269, 630, 328, 264, 476, 273, 343, 273, 1341, 1535, 16061, 382, 486, 382, 496, 476, 272, 815, 476, 271, 454, 23870, 264, 476, 273, 344, 273, 1341, 476, 274, 344, 1341, 476, 272, 815, 271, 692, 304, 1015, 269, 630, 328, 1040, 476, 273, 343, 273, 1341, 476, 1724, 343, 1341, 476, 2641, 815, 476, 271, 454, 23870, 1040, 476, 273, 344, 273, 1341, 476, 1556, 344, 1341, 476, 1691, 815, 476, 271, 692, 291, 3925, 630, 1556, 16061, 19050, 382, 497, 476, 1428, 2567, 769, 1142, 540, 891, 2055, 267, 1079, 4834, 630, 296, 264, 543, 630, 2862, 264, 616, 2016, 269, 1411, 723, 547, 4194, 1312, 519, 4834, 543, 2285, 519, 2626, 563, 5416, 264, 1403, 1535, 284, 344, 610, 1100, 6935, 666, 581, 3964, 563, 6357, 264, 1403, 1535, 285, 344, 454, 6262, 264, 1403, 1535, 283, 344, 454, 5560, 264, 1403, 1535, 15512, 382, 487, 8975, 363, 344, 454, 16216, 264, 1403, 1535, 15512, 382, 487, 11366, 344, 692, 304, 1556, 269, 630, 296, 264, 1535, 274, 16061, 19050, 382, 497, 476, 1321, 16061, 19050, 382, 497, 476, 14530, 280, 815, 476, 271, 454, 263, 2862, 264, 586, 273, 16061, 19050, 382, 497, 476, 2641, 16061, 19050, 382, 497, 476, 1911, 815, 476, 271, 692, 304, 1321, 269, 594, 269, 476, 1321, 343, 273, 3852, 496, 1109, 15512, 382, 486, 382, 496, 476, 278, 11027, 21638, 8975, 363, 1341, 476, 272, 815, 476, 271, 454, 2862, 269, 586, 273, 394, 496, 1109, 266, 476, 2537, 11027, 21638, 22935, 1341, 476, 15171, 815, 476, 271, 692, 304, 1724, 269, 630, 296, 264, 1535, 273, 1341, 476, 280, 343, 16061, 19050, 382, 497, 476, 7367, 815, 476, 271, 454, 263, 2862, 264, 476, 1321, 344, 273, 1341, 476, 1626, 344, 1341, 476, 275, 815, 476, 271, 692, 304, 1691, 269, 630, 296, 264, 1535, 273, 16061, 19050, 382, 497, 1535, 16061, 19050, 382, 497, 476, 13975, 815, 476, 271, 454, 263, 2862, 264, 586, 273, 16061, 19050, 382, 497, 476, 4029, 344, 1341, 476, 13301, 815, 476, 271, 692, 304, 1428, 269, 630, 296, 264, 476, 273, 343, 273, 16061, 19050, 382, 497, 476, 279, 343, 16061, 19050, 382, 497, 476, 2190, 815, 476, 271, 454, 263, 2862, 264, 476, 280, 344, 273, 16061, 19050, 382, 497, 476, 1321, 344, 1341, 476, 275, 815, 476, 271, 692, 17445, 687, 630, 1626, 268, 736, 2567, 769, 1142, 2243, 267, 1079, 4834, 630, 296, 264, 543, 630, 2862, 264, 616, 2016, 269, 1411, 1058, 4194, 1312, 4834, 543, 1665, 519, 3617, 2626, 563, 5416, 264, 1403, 1535, 3436, 586, 454, 6357, 264, 1403, 1535, 16061, 382, 487, 8975, 363, 586, 454, 6262, 264, 1403, 1535, 2999, 586, 454, 5560, 264, 1403, 1535, 16061, 382, 487, 11366, 586, 454, 16216, 264, 1403, 815, 586, 610, 519, 2078, 3112, 581, 3964, 780, 304, 1626, 269, 594, 269, 476, 273, 343, 394, 496, 11054, 16061, 19050, 382, 497, 476, 278, 343, 1341, 476, 276, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 274, 344, 1341, 476, 273, 815, 476, 271, 692, 304, 1704, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1839, 343, 1341, 476, 14444, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 3066, 344, 1341, 476, 13975, 815, 476, 271, 692, 304, 1240, 269, 594, 269, 1535, 394, 496, 11054, 1341, 476, 736, 343, 1341, 476, 9834, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 1341, 476, 1428, 344, 1341, 476, 6321, 815, 476, 271, 692, 304, 866, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 274, 343, 16061, 19050, 382, 497, 476, 2412, 815, 476, 271, 454, 2862, 269, 476, 273, 344, 394, 496, 11054, 1341, 476, 1556, 344, 1341, 476, 1428, 815, 476, 271, 692, 304, 736, 269, 594, 269, 1535, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1626, 343, 1341, 476, 5038, 815, 476, 271, 454, 2862, 269, 586, 394, 496, 11054, 16061, 19050, 382, 497, 476, 1691, 344, 1341, 476, 4366, 815, 476, 271, 692, 10298, 476, 272, 546, 476, 273, 513, 476, 274, 536, 476, 275, 552, 476, 276, 552, 476, 277, 524, 476, 278, 513, 476, 279, 513, 476, 280, 552, 476, 1015, 552, 476, 1556, 546, 476, 1321, 536, 476, 1724, 513, 476, 1691, 552, 476, 1428, 513, 476, 1626, 552, 476, 1704, 524, 476, 1240, 546, 476, 866, 552, 476, 736, 536, 692, 1012, 14174, 17988, 692, 2162, 1215, 547, 4194, 13392, 4834, 2055, 2496, 763, 2409, 585, 6061, 13392, 3830, 2055, 616, 3177, 538, 519, 2376, 269, 0, 258, 11822, 26682, 8447, 3163, 11908, 13437, 11621, 1384, 1012, 19809, 593, 6249, 281, 834, 26594, 26682, 8447, 3163, 11908, 13437, 11621, 281, 257, 1765, 19809, 13973, 1384, 26594, 26682, 8447, 3163, 11908, 13437, 11621, 912, 306, 4916, 278, 320, 269, 10576, 1648, 14759, 538, 513, 1062, 630, 324, 3052, 269, 8654, 513, 6474, 269, 590, 4916, 279, 324, 269, 12433, 5666, 540, 960, 543, 7344, 5413, 1210, 2241, 6191, 269, 23095, 676, 281, 2441, 344, 667, 542, 6754, 3429, 6019, 4400, 3427, 28543, 267, 11908, 692, 1432, 568, 513, 2241, 3684, 888, 288, 2241, 3684, 568, 513, 3684, 602, 1281, 960, 609, 1152, 835, 3350, 540, 602, 3684, 269, 1703, 616, 476, 277, 2596, 2241, 6191, 281, 476, 272, 264, 21115, 342, 476, 273, 264, 22676, 476, 274, 264, 769, 743, 1441, 1773, 2033, 476, 275, 264, 654, 8354, 476, 276, 264, 17240, 2917, 476, 277, 264, 24747, 1299, 16547, 548, 692, 8867, 951, 589, 22676, 568, 513, 3046, 602, 568, 1863, 547, 22141, 1472, 513, 6378, 1448, 563, 2467, 616, 1614, 2010, 540, 682, 951, 1384, 8867, 951, 281, 1018, 789, 798, 1862, 7102, 1907, 602, 17913, 1945, 10690, 568, 513, 11573, 269, 589, 11573, 568, 606, 6186, 602, 9187, 1824, 630, 528, 7140, 264, 1996, 513, 3505, 322, 5300, 630, 528, 1448, 1040, 6056, 540, 519, 804, 1177, 1439, 540, 513, 17200, 602, 596, 946, 547, 533, 787, 513, 17970, 10690, 269, 898, 781, 513, 11573, 269, 898, 781, 513, 17208, 6186, 602, 26520, 1996, 513, 1448, 593, 513, 2627, 269, 1306, 596, 17967, 519, 6186, 621, 17913, 519, 17970, 689, 519, 2627, 780, 5575, 4147, 22676, 589, 1294, 1606, 1177, 568, 606, 1383, 563, 1103, 513, 1101, 1362, 11573, 267, 519, 20991, 2476, 689, 519, 3505, 322, 5300, 596, 4019, 519, 3196, 267, 519, 4443, 621, 568, 547, 12740, 909, 3615, 269, 634, 6251, 547, 519, 3505, 322, 5300, 596, 4019, 519, 3196, 267, 519, 811, 4674, 596, 991, 547, 12740, 909, 519, 4187, 269, 634, 4187, 4422, 538, 519, 6587, 4287, 540, 519, 4674, 269, 1403, 513, 1268, 24864, 1524, 267, 519, 4187, 4422, 909, 267, 543, 952, 513, 1268, 24864, 909, 267, 519, 4187, 4422, 1524, 780, 13553, 4147, 22676, 589, 8868, 3046, 992, 568, 606, 1383, 269, 589, 2034, 1362, 11573, 568, 513, 11573, 538, 799, 519, 4187, 568, 4092, 1063, 519, 3505, 322, 5300, 543, 519, 4674, 269, 589, 2034, 1362, 11573, 2141, 4679, 519, 4674, 3196, 269, 634, 3505, 322, 5300, 568, 519, 8868, 543, 4187, 538, 513, 8868, 321, 5535, 568, 519, 1843, 1373, 6410, 1247, 519, 1268, 11319, 519, 8868, 321, 5535, 7727, 519, 4674, 780, 23612, 4147, 22676, 1323, 1383, 568, 513, 1268, 781, 6186, 563, 288, 3791, 1362, 11573, 2141, 11081, 519, 4674, 3196, 269, 634, 4674, 568, 1063, 519, 4187, 543, 519, 3505, 322, 5300, 269, 634, 3505, 322, 5300, 568, 519, 23969, 267, 519, 22833, 10134, 1683, 519, 4187, 543, 519, 4674, 568, 8726, 568, 1373, 24850, 269, 634, 3845, 689, 519, 23969, 547, 519, 22833, 10134, 568, 519, 4674, 6186, 543, 519, 3845, 689, 519, 23969, 547, 8726, 835, 568, 3843, 547, 12740, 568, 519, 4187, 6186, 269, 589, 3791, 1362, 11573, 568, 2141, 513, 19319, 780, 23005, 1456, 22676, 4147, 674, 4041, 14329, 454, 6440, 5575, 4147, 22676, 910, 27975, 322, 5300, 538, 519, 4099, 5788, 13553, 4147, 22676, 268, 20509, 538, 519, 4099, 5788, 23612, 4147, 22676, 910, 20306, 677, 538, 519, 4099, 692, 8196, 519, 3615, 593, 713, 2985, 547, 1397, 1142, 540, 519, 2157, 540, 682, 951, 780, 29613, 531, 20996, 1520, 2779, 720, 540, 513, 22676, 454, 763, 4998, 7344, 5413, 630, 296, 7246, 264, 585, 1022, 2241, 3684, 666, 581, 7229, 676, 12270, 519, 3403, 3845, 676, 519, 3977, 3845, 269, 1280, 513, 11573, 267, 519, 3403, 3845, 568, 519, 3259, 540, 519, 3403, 6186, 543, 519, 3977, 3845, 568, 519, 3259, 540, 519, 3977, 6186, 269, 26758, 20996, 1520, 2779, 720, 815, 3259, 540, 3403, 6186, 630, 332, 264, 3259, 540, 3977, 6186, 630, 332, 264, 594, 7246, 815, 6931, 700, 719, 692, 4131, 781, 6657, 281, 3627, 3096, 513, 11573, 547, 12740, 513, 2597, 540, 476, 276, 715, 269, 634, 3403, 3845, 630, 3602, 519, 3403, 3196, 568, 4294, 264, 568, 476, 2004, 4699, 269, 634, 3977, 3845, 630, 3602, 519, 3977, 3196, 568, 4294, 264, 568, 476, 276, 4699, 269, 1548, 568, 519, 4998, 7344, 5413, 540, 519, 11573, 286, 594, 7246, 815, 3403, 3845, 540, 11573, 3977, 3845, 5700, 18452, 3845, 815, 476, 2004, 4699, 282, 3977, 3845, 815, 476, 276, 4699, 5590, 1575, 594, 7246, 815, 476, 2004, 4699, 476, 276, 4699, 16534, 594, 7246, 815, 476, 1015, 692, 4131, 781, 6657, 281, 20999, 3096, 513, 5102, 2917, 1062, 547, 6318, 513, 19943, 689, 513, 1134, 269, 1261, 27605, 1010, 1439, 593, 519, 18052, 476, 276, 544, 543, 519, 19943, 568, 6659, 476, 273, 269, 276, 544, 269, 1548, 568, 519, 4998, 7344, 5413, 540, 713, 5102, 2917, 1062, 286, 594, 7246, 284, 3403, 3845, 3977, 3845, 5700, 18452, 3845, 815, 476, 276, 544, 282, 3977, 3845, 815, 476, 273, 269, 276, 544, 5590, 1575, 594, 7246, 815, 476, 276, 4699, 476, 273, 269, 276, 4699, 16534, 594, 7246, 815, 476, 273, 692, 303, 592, 18436, 589, 5102, 2917, 568, 513, 9240, 3437, 8868, 609, 513, 18052, 267, 5832, 267, 610, 10814, 4881, 2059, 513, 9240, 913, 269, 589, 1940, 762, 5102, 2917, 568, 835, 1141, 519, 1439, 540, 519, 18052, 568, 6378, 543, 519, 8868, 568, 1863, 547, 1847, 269, 589, 6378, 5102, 2917, 2242, 1152, 519, 4287, 540, 707, 3196, 269, 1401, 269, 9206, 335, 1961, 692, 28343, 1299, 570, 871, 548, 17240, 2917, 589, 3625, 543, 10994, 5102, 2917, 5161, 540, 1940, 762, 543, 6378, 5102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1906, 7643, 547, 1847, 610, 18419, 621, 780, 1262, 3721, 476, 276, 281, 5487, 684, 4221, 667, 20462, 514, 645, 4900, 518, 4373, 8340, 519, 667, 20462, 514, 645, 4900, 518, 12835, 1851, 519, 1082, 1866, 593, 707, 1753, 5496, 4433, 1040, 898, 5654, 899, 513, 18935, 1242, 18107, 514, 682, 12686, 856, 540, 519, 5836, 6329, 780, 265, 2878, 307, 777, 1262, 519, 667, 20462, 514, 645, 4900, 518, 12835, 547, 1930, 519, 813, 780, 1262, 3721, 476, 277, 281, 4197, 9978, 32522, 1369, 667, 20462, 514, 645, 4900, 518, 4373, 3086, 602, 667, 20462, 514, 645, 4900, 518, 568, 1930, 267, 1577, 781, 1451, 875, 547, 6330, 3330, 519, 813, 1384, 265, 2878, 11754, 816, 4446, 5093, 7392, 3896, 9607, 610, 3406, 14511, 1934, 630, 324, 3052, 1421, 1496, 4178, 269, 2998, 4355, 2593, 28488, 10674, 2517, 4178, 269, 2998, 4355, 2593, 264, 1916, 265, 2878, 12988, 270, 2690, 1189, 1809, 27971, 5093, 2422, 891, 21985, 547, 979, 1394, 630, 283, 268, 264, 610, 4464, 630, 285, 9984, 12445, 1686, 563, 265, 2878, 24464, 340, 29502, 5093, 8422, 8880, 3515, 20465, 2099, 519, 10624, 267, 1141, 596, 666, 1265, 3681, 899, 3883, 12201, 267, 3778, 267, 23994, 267, 3092, 563, 265, 2878, 15507, 5422, 27748, 5093, 8437, 519, 3172, 4328, 4837, 20465, 547, 20006, 513, 3406, 13214, 780, 1262, 3721, 476, 278, 281, 9373, 532, 19534, 17372, 525, 610, 9612, 2372, 7685, 4373, 2414, 3643, 513, 1808, 3896, 610, 1685, 513, 3406, 1384, 265, 2878, 13911, 1262, 1018, 596, 1616, 547, 3406, 585, 610, 519, 15745, 2232, 1210, 519, 13691, 912, 453, 266, 22843, 10569, 281, 24135, 1367, 5022, 547, 1106, 1913, 563, 453, 266, 6611, 3046, 281, 23453, 5624, 1063, 1913, 563, 453, 266, 645, 2931, 10628, 1883, 281, 1546, 8541, 3197, 563, 453, 266, 9373, 1883, 630, 2567, 4427, 2466, 707, 3403, 563, 265, 2878, 8505, 334, 10687, 10968, 10372, 4995, 667, 20462, 514, 645, 4900, 518, 949, 2709, 6700, 7270, 610, 19707, 1759, 593, 707, 3403, 780, 1262, 3721, 476, 279, 281, 645, 4900, 532, 15750, 2572, 4373, 5629, 596, 4312, 9411, 513, 4570, 2232, 610, 22646, 585, 1945, 1384, 265, 2878, 299, 1933, 532, 13525, 4995, 13772, 585, 18343, 14743, 610, 3356, 13063, 10834, 2985, 15205, 563, 265, 2878, 17273, 9115, 4995, 2480, 2651, 19794, 1210, 1079, 1922, 5424, 2220, 6346, 547, 19584, 2546, 1543, 563, 265, 2878, 313, 334, 4040, 4995, 18237, 577, 2987, 270, 719, 609, 14853, 543, 4994, 9416, 547, 24680, 538, 270, 719, 593, 1357, 335, 1137, 780, 1262, 21206, 9669, 1299, 570, 9581, 16001, 265, 2878, 9349, 12201, 4995, 16440, 4749, 10272, 4609, 585, 2653, 1569, 3842, 519, 32386, 3436, 3883, 12201, 563, 265, 2878, 7468, 10675, 25042, 4995, 2037, 762, 1651, 1758, 17010, 19855, 676, 2469, 547, 32386, 3436, 17721, 25042, 563, 265, 2878, 306, 9116, 902, 4995, 11426, 1125, 667, 20462, 514, 645, 4900, 518, 7375, 896, 32386, 3436, 23994, 780, 6546, 781, 621, 256, 1411, 4312, 6707, 1031, 667, 20462, 514, 645, 4900, 518, 585, 15692, 269, 4793, 3054, 593, 519, 1394, 630, 604, 596, 917, 1018, 602, 1797, 25631, 2060, 2259, 267, 596, 3513, 1831, 21295, 538, 10188, 707, 3926, 543, 3695, 519, 5318, 2228, 7122, 780, 8855, 267, 972, 781, 2141, 811, 547, 3605, 543, 1451, 593, 713, 4241, 4541, 1572, 3047, 269, 5213, 1405, 19292, 547, 2307, 2055, 610, 3343, 5583, 8164, 2877, 269, 8080, 1586, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 667, 20462, 514, 645, 4900, 518, 585, 15692, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 3848, 476, 1321, 281, 6816, 18877, 910, 4045, 539, 676, 590, 4721, 543, 4425, 1846, 692, 5331, 2713, 593, 606, 6532, 1141, 3388, 596, 991, 1590, 581, 4547, 547, 596, 676, 10935, 256, 901, 568, 1018, 1272, 568, 899, 585, 1082, 1004, 945, 2661, 538, 6532, 2950, 1472, 519, 1158, 269, 4014, 789, 949, 3068, 2189, 2591, 267, 891, 2950, 616, 1419, 5702, 4448, 998, 17535, 4123, 543, 6283, 5121, 269, 2913, 781, 2263, 875, 9635, 543, 16996, 948, 1832, 6532, 619, 13859, 609, 5370, 543, 2533, 1247, 849, 8220, 873, 547, 519, 1964, 540, 519, 1158, 780, 16908, 593, 606, 6532, 666, 581, 3833, 1114, 689, 22163, 2127, 269, 1280, 26784, 267, 3478, 972, 1522, 2154, 513, 7542, 787, 11878, 610, 8184, 2094, 6117, 3884, 1405, 606, 4781, 269, 4495, 12306, 267, 7264, 7048, 8185, 593, 16996, 543, 9635, 585, 24317, 3688, 971, 607, 1426, 267, 7802, 267, 11647, 267, 4070, 2326, 267, 4492, 267, 543, 1256, 6472, 269, 2368, 10195, 723, 1507, 29032, 610, 4262, 30350, 13279, 1932, 267, 855, 1034, 18535, 1869, 7575, 3842, 25825, 780, 3086, 1577, 781, 2911, 827, 3549, 3238, 538, 713, 1826, 540, 11288, 269, 3807, 899, 1022, 824, 1870, 267, 789, 2832, 547, 5838, 741, 2472, 7561, 693, 10257, 5777, 269, 6884, 267, 1498, 267, 1978, 3344, 540, 741, 4238, 1810, 1405, 5447, 1134, 609, 741, 4295, 5692, 269, 1879, 713, 4523, 267, 789, 1522, 6430, 547, 6133, 1055, 1346, 15523, 865, 789, 666, 1445, 593, 1018, 789, 798, 1655, 269, 2334, 781, 4010, 1018, 5949, 950, 2372, 611, 270, 20877, 923, 4956, 547, 6133, 922, 2372, 611, 2750, 12304, 3791, 18407, 17825, 630, 274, 12195, 264, 1870, 547, 631, 1638, 523, 6828, 13456, 1421, 1776, 2754, 21751, 538, 17825, 543, 6283, 269, 1635, 3257, 865, 267, 1312, 3906, 1223, 13404, 593, 7674, 741, 5561, 1732, 780, 3383, 1946, 1281, 782, 713, 2339, 585, 938, 1650, 827, 6532, 2950, 286, 4270, 267, 1589, 827, 621, 713, 1259, 281, 952, 596, 5030, 593, 606, 9678, 6532, 267, 9327, 1405, 596, 1616, 6325, 695, 26802, 8744, 707, 5172, 16152, 267, 9162, 267, 2835, 267, 543, 11418, 286, 18227, 891, 3761, 11800, 4881, 12347, 5849, 602, 6532, 619, 2972, 2147, 7036, 7891, 1336, 11992, 269, 9578, 267, 2834, 4296, 1063, 10195, 543, 3677, 2244, 332, 13293, 6536, 2686, 5385, 267, 9235, 267, 543, 2804, 1646, 780, 3719, 4509, 2178, 6402, 3085, 1405, 1175, 4324, 6800, 282, 4213, 8853, 1932, 269, 5994, 1373, 513, 2199, 4558, 26782, 13461, 593, 2834, 5838, 625, 540, 4195, 3132, 610, 2679, 7727, 269, 3117, 11962, 6928, 906, 1611, 7864, 6006, 8083, 543, 18668, 5561, 269, 1656, 3314, 267, 1169, 4216, 796, 2903, 539, 4564, 4747, 585, 2576, 1107, 2436, 621, 781, 519, 23071, 540, 519, 6077, 267, 546, 1442, 32305, 267, 610, 6300, 26283, 780, 1103, 5758, 267, 6532, 2950, 4096, 8185, 593, 7286, 6283, 547, 1569, 2200, 543, 1921, 609, 519, 9962, 1158, 269, 14992, 1404, 2629, 5107, 538, 4180, 5347, 6765, 540, 1898, 21113, 543, 5807, 2804, 13884, 269, 3414, 7580, 3664, 899, 9513, 1875, 2275, 648, 7221, 267, 10909, 666, 7794, 741, 7158, 1369, 1808, 6990, 267, 6038, 30364, 3025, 3238, 269, 1306, 649, 3136, 3695, 11174, 5708, 1305, 538, 2197, 19824, 267, 1620, 519, 2956, 540, 25872, 786, 2611, 513, 4105, 6249, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5226, 611, 270, 20877, 923, 267, 5549, 269, 9307, 602, 621, 814, 4421, 922, 2372, 611, 2750, 12304, 3791, 18407, 17825, 630, 274, 12195, 264, 1870, 585, 1269, 2412, 2929, 547, 631, 1638, 523, 6828, 13456, 1421, 835, 540, 4516, 779, 4102, 17825, 7426, 269, 2372, 611, 2750, 12304, 26082, 631, 1638, 523, 6828, 779, 3060, 540, 10446, 13234, 4213, 602, 1683, 513, 3376, 2039, 540, 3028, 17008, 1519, 1447, 31032, 2389, 30638, 2903, 267, 14903, 2903, 267, 16292, 327, 17639, 267, 17825, 267, 1098, 2903, 267, 16136, 1242, 543, 7463, 688, 30389, 6283, 269, 634, 2820, 652, 8132, 7028, 2372, 611, 779, 3964, 4640, 547, 11126, 922, 1587, 543, 3028, 14769, 543, 1902, 538, 1346, 2694, 540, 922, 1870, 602, 17108, 922, 2990, 607, 513, 6725, 3435, 7649, 543, 1711, 811, 1871, 585, 922, 7218, 543, 824, 8639, 269, 2372, 611, 5170, 547, 1378, 543, 7500, 922, 538, 27440, 6283, 543, 17825, 6498, 267, 2372, 611, 18815, 7896, 267, 543, 922, 1854, 9535, 6498, 267, 13660, 21622, 6807, 13255, 563, 19177, 628, 10116, 5665, 2164, 2799, 5097, 1813, 547, 4320, 2208, 543, 5676, 1441, 8907, 543, 14769, 2359, 269, 1452, 3655, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3674, 1633, 18877, 257, 607, 851, 540, 834, 16300, 16337, 1315, 17151, 18887, 1315, 13474, 5020, 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, 19088, 1108, 540, 9147, 5527, 692, 8893, 476, 272, 281, 4985, 547, 9147, 12266, 27801, 338, 692, 5970, 596, 2479, 9289, 875, 1004, 1279, 3516, 6045, 1919, 899, 17500, 267, 17160, 267, 610, 2648, 286, 4270, 267, 789, 2813, 2984, 827, 10971, 543, 15831, 525, 945, 6417, 891, 20825, 256, 901, 568, 1018, 649, 1289, 13299, 269, 4653, 267, 1577, 781, 2263, 519, 4241, 13299, 540, 9147, 5527, 780, 26123, 5527, 729, 1753, 547, 1082, 4277, 4978, 269, 1358, 5156, 602, 972, 941, 1114, 10971, 543, 15831, 525, 3743, 585, 3388, 8345, 1472, 873, 910, 2436, 621, 729, 519, 3141, 8375, 267, 519, 20407, 14700, 267, 610, 1256, 27638, 256, 1635, 1620, 741, 13299, 267, 649, 1205, 513, 19214, 883, 741, 1259, 540, 1272, 543, 2418, 780, 8893, 476, 273, 281, 5808, 3657, 519, 29331, 543, 31001, 525, 2496, 5331, 2348, 7366, 540, 10971, 543, 15831, 525, 267, 1142, 609, 2189, 7060, 543, 14789, 256, 2334, 781, 4010, 1018, 519, 9147, 21072, 1705, 269, 589, 25976, 630, 534, 1278, 2012, 585, 513, 5601, 610, 15831, 264, 1522, 1413, 899, 513, 1480, 267, 3662, 267, 610, 1945, 538, 1063, 269, 1280, 1383, 267, 645, 770, 564, 1185, 519, 2212, 540, 513, 3032, 1247, 670, 987, 528, 1185, 519, 2212, 540, 513, 10800, 780, 4322, 10143, 7919, 14201, 1405, 1175, 16304, 856, 538, 519, 12269, 282, 789, 5030, 1318, 1934, 593, 3047, 855, 1223, 849, 3643, 824, 4025, 538, 519, 7122, 269, 3962, 25976, 1185, 2027, 4408, 543, 10643, 267, 1454, 899, 938, 7022, 814, 606, 4013, 2012, 543, 2140, 269, 2290, 3579, 3364, 827, 891, 24587, 568, 602, 930, 3323, 1055, 607, 2831, 610, 3615, 1354, 4742, 3532, 5515, 2439, 8893, 476, 274, 281, 7316, 9894, 519, 29331, 14970, 2496, 4407, 1034, 3425, 759, 3660, 538, 14252, 543, 4872, 267, 519, 10971, 1572, 4025, 899, 10239, 267, 24301, 267, 610, 519, 6607, 741, 5321, 269, 2368, 1256, 5030, 3330, 1004, 610, 2831, 256, 898, 781, 1271, 547, 3314, 602, 891, 6753, 5749, 1405, 8209, 1141, 649, 9364, 1265, 2147, 7068, 2221, 269, 2991, 782, 267, 713, 568, 13299, 2439, 8893, 476, 275, 281, 4208, 21518, 1703, 1924, 3509, 29331, 2496, 763, 21072, 4718, 9059, 10876, 267, 543, 1169, 2680, 1185, 513, 16750, 2014, 3297, 621, 269, 1677, 2491, 891, 4755, 902, 267, 789, 11827, 3875, 10971, 543, 15831, 525, 267, 5316, 5024, 1808, 5107, 547, 1142, 269, 3683, 942, 267, 1007, 10971, 7902, 998, 10659, 540, 4540, 3283, 610, 3274, 1317, 2576, 4941, 547, 8956, 513, 1880, 2460, 540, 2470, 610, 1480, 1995, 780, 8893, 476, 276, 281, 681, 592, 619, 543, 15215, 692, 4942, 21198, 338, 5129, 513, 1713, 1909, 538, 8220, 1455, 11570, 609, 519, 10143, 1158, 269, 1306, 1312, 2797, 3401, 543, 1164, 20577, 267, 943, 21198, 338, 5340, 3909, 18428, 267, 3710, 17633, 267, 543, 24458, 4708, 1369, 2486, 269, 4256, 6392, 3357, 2047, 689, 519, 10971, 2933, 2439, 8893, 476, 277, 281, 18227, 18696, 609, 8575, 520, 692, 30538, 520, 3090, 1242, 10103, 267, 5168, 267, 5126, 267, 543, 3666, 538, 519, 7122, 269, 24367, 8575, 520, 5921, 5329, 1434, 3347, 609, 1866, 543, 2713, 2687, 547, 5837, 3652, 269, 1403, 8575, 520, 729, 22841, 267, 14784, 1223 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 540, 3196, 2877, 4287, 540, 3196, 543, 3845, 936, 799, 3196, 6411, 26682, 1684, 4518, 476, 16318, 23207, 10414, 9540, 3196, 25116, 936, 513, 1804, 3845, 1804, 3196, 936, 2110, 3845, 6145, 16116, 2835, 909, 835, 693, 513, 942, 547, 1847, 873, 1107, 339, 8565, 1055, 811, 3845, 855, 1447, 3196, 23207, 20028, 269, 10414, 568, 513, 7903, 610, 513, 7485, 593, 606, 1843, 563, 2005, 14439, 3403, 4229, 25116, 593, 543, 3977, 4229, 25116, 676, 6191, 543, 11828, 3403, 960, 543, 3977, 960, 269, 7335, 15613, 2985, 476, 275, 1704, 5681, 3405, 1944, 1306, 596, 1224, 2347, 519, 3349, 585, 1142, 3684, 269, 1215, 1454, 3196, 568, 2877, 547, 2347, 476, 278, 2537, 297, 540, 960, 936, 513, 3845, 540, 476, 25248, 332, 563, 2467, 616, 3670, 2241, 6191, 269, 744, 8025, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 269, 1411, 666, 5173, 960, 676, 14921, 519, 3196, 25116, 593, 519, 1843, 2053, 519, 3845, 519, 1843, 7575, 563, 1220, 808, 540, 960, 2944, 538, 476, 736, 521, 610, 476, 2004, 808, 540, 960, 2944, 538, 476, 275, 521, 269, 26682, 1100, 2339, 875, 2241, 610, 1950, 948, 1004, 1205, 1919, 2944, 1169, 1554, 1548, 1772, 4518, 269, 6206, 16301, 4518, 5295, 20996, 22436, 563, 5591, 2339, 875, 1454, 3196, 596, 11851, 960, 568, 711, 2944, 8259, 606, 1843, 2242, 2990, 610, 5163, 269, 25670, 9046, 8018, 269, 8447, 2257, 476, 1691, 476, 272, 960, 543, 1379, 563, 7197, 8281, 539, 24436, 540, 634, 13600, 269, 3848, 476, 1691, 4518, 5295, 543, 26682, 476, 15221, 4518, 543, 5295, 4518, 568, 519, 1587, 540, 3196, 543, 3845, 269, 4518, 543, 1379, 4976, 2626, 1883, 2168, 2257, 563, 19152, 4229, 25116, 593, 543, 3977, 4229, 25116, 676, 6191, 616, 4857, 543, 3403, 960, 543, 3977, 960, 616, 5941, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 269, 589, 5173, 519, 2179, 540, 960, 602, 678, 19563, 1705, 593, 519, 1286, 563, 13480, 5295, 543, 26682, 8791, 476, 273, 269, 476, 1691, 476, 273, 960, 543, 1379, 4976, 2626, 1883, 269, 5295, 568, 519, 2557, 693, 799, 960, 568, 2944, 610, 519, 2179, 540, 960, 2944, 538, 513, 1770, 540, 942, 563, 288, 632, 23807, 480, 730, 3905, 2011, 17891, 22179, 513, 2698, 540, 476, 8517, 271, 562, 269, 476, 25148, 32516, 476, 1691, 4518, 543, 11822, 26682, 8682, 6744, 476, 272, 269, 1215, 1454, 960, 1281, 513, 476, 1839, 301, 3196, 798, 547, 12740, 513, 1494, 1540, 2030, 689, 519, 6989, 547, 513, 15808, 476, 1428, 332, 1164, 563, 6826, 6297, 4287, 540, 4294, 2121, 3196, 543, 4287, 540, 5163, 1590, 581, 1482, 269, 634, 3845, 998, 799, 519, 3403, 3196, 6411, 538, 513, 3684, 269, 2806, 322, 10632, 1280, 15206, 563, 16449, 560, 873, 568, 4466, 856, 519, 9904, 269, 4888, 14684, 2207, 26395, 312, 4518, 543, 26682, 4518, 543, 26682, 3848, 5741, 8018, 476, 272, 476, 272, 269, 1215, 3657, 4518, 18452, 543, 4518, 19243, 13565, 585, 513, 10724, 563, 20091, 15613, 2985, 476, 275, 1704, 5681, 3405, 1944, 1306, 596, 1224, 2347, 519, 3349, 585, 1142, 3684, 269, 476, 16318, 4518, 543, 26682, 269, 9906, 786, 1451, 782, 519, 2010, 540, 2241, 6191, 543, 875, 789, 1847, 563, 1432, 568, 519, 3830, 585, 3196, 269, 1358, 961, 1265, 856, 18334, 607, 1134, 607, 2689, 1732, 269, 3848, 476, 1691, 4518, 5295, 1656, 26682, 476, 1691, 476, 272, 4518, 1656, 5295, 4518, 476, 272, 332, 1379, 1379, 568, 519, 2557, 540, 960, 2944, 538, 513, 563, 6637, 476, 15094, 1107, 16544, 540, 20996, 31515, 269, 8307, 835, 540, 519, 3670, 1138, 268, 269, 3848, 476, 1724, 8791, 476, 272, 4518, 5295, 1656, 26682, 8018, 12226, 563, 6637, 476, 1691, 4518, 5295, 543, 26682, 5530, 6651, 269, 654, 674, 323, 4518, 568, 2944, 950, 513, 3196, 7575, 606, 1843, 936, 513, 3845, 269, 589, 3625, 540, 3574, 1789, 4699, 593, 1142, 2427, 814, 513, 2527, 540, 476, 2767, 575, 563, 18744, 835, 540, 519, 3670, 1138, 268, 921, 6191, 1590, 581, 5018, 269, 1411, 616, 547, 2347, 713, 585, 6780, 269, 15618, 693, 14349, 5988, 476, 866, 628, 476, 1708, 273, 476, 4962, 274, 277, 1240, 7537, 563, 15697, 7732, 3848, 476, 1691, 4518, 5295, 1656, 26682, 6478, 3772, 8382, 6206, 3848, 476, 1691, 4518, 5295, 1656, 26682, 6478, 3772, 8382, 6206, 1306, 6444, 7045, 607, 609, 8897, 607, 1995, 827, 3992, 31768, 607, 5578, 2685, 607, 4308, 666, 581, 20335, 676, 1175, 10992, 856, 513, 2835, 3184, 476, 1691, 960, 1379, 543, 6191, 2262, 3772, 2626, 1883, 1287, 621, 568, 711, 2047, 2944, 596, 1223, 269, 1411, 11851, 513, 7299, 3196, 540, 476, 7761, 301, 547, 12740, 513, 4216, 547, 513, 4463, 540, 476, 273, 332, 538, 513, 269, 4518, 1379, 1648, 2689, 6656, 2016, 538, 1362, 563, 288, 3684, 1500, 909, 540, 513, 4999, 593, 2241, 6191, 568, 513, 7623, 3684, 269, 4841, 786, 3313, 3347, 1851, 3196, 2527, 543, 5163, 269, 8791, 476, 16318, 4518, 543, 26682, 3817, 476, 275, 1704, 22213, 901, 3296, 6257, 875, 6191, 1689, 4229, 547, 1118, 960, 4443, 547, 798, 563, 763, 3196, 25116, 676, 513, 3684, 269, 12433, 5666, 540, 960, 543, 7344, 5413, 1210, 2241, 6191, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 563, 6637, 476, 1691, 13480, 5295, 543, 26682, 8791, 476, 16318, 4518, 543, 269, 9351, 1656, 32309, 2986, 476, 273, 323, 25609, 8018, 21584, 22704, 1656, 32309, 2986, 476, 273, 323, 25609, 8018, 21584, 269, 769, 743, 1441, 7077, 11573, 8868, 543, 563, 16318, 4518, 543, 26682, 269, 4518, 543, 1379, 2979, 538, 2257, 269, 8382, 519, 1739, 2055, 563, 16215, 476, 274, 3848, 476, 1691, 4518, 5295, 26682, 4530, 5623, 8382, 269, 21414, 799, 540, 519, 1739, 3871, 3322, 811, 1379, 269, 1284, 2322, 593, 513, 8273, 2599, 476, 9340, 272, 333, 855, 519, 7047, 1869, 7575, 4464, 476, 2420, 332, 563, 15430, 1041, 3211, 585, 2596, 5759, 269, 6732, 7732, 476, 1691, 476, 273, 5623, 1656, 22365, 7593, 8382, 6206, 22365, 7593, 7869, 538, 519, 31071, 269, 14674, 513, 3510, 538, 799, 960, 568, 2944, 593, 606, 1843, 563, 6637, 476, 1691, 4518, 5295, 26682, 4530, 5623, 8382, 6206, 269, 901, 960, 1648, 543, 1379, 4976, 2626, 1883, 616, 711, 1175, 1776, 10145, 4976, 269, 22365, 7593, 1565, 681, 299, 568, 606, 1858, 540, 3684, 1565, 7255, 609, 875, 10995, 8069, 11129, 547, 1491, 3527, 538, 606, 1604, 538, 1931, 547, 11694, 519, 10206, 540, 19469, 8007, 563, 3725, 514, 7593, 1565, 568, 835, 540, 1614, 2596, 269, 3848, 476, 1691, 8791, 476, 274, 269, 3848, 476, 1691, 960, 1379, 543, 6191, 476, 15221, 960, 543, 1379, 960, 568, 519, 563, 2691, 519, 1820, 6885, 10741, 1826, 538, 513, 2039, 540, 3817, 547, 1820, 269, 1677, 1820, 513, 851, 540, 519, 1433, 476, 272, 269, 589, 2241, 3684, 568, 513, 3684, 602, 1281, 960, 609, 1152, 835, 3350, 563, 1607, 960, 1648, 543, 1379, 4976, 2626, 1883, 616, 711, 1175, 1776, 10145, 4976, 269, 476, 16318, 4518, 543, 26682, 1215, 1684, 26682, 5269, 4518, 31418, 1512, 269, 4518, 543, 1379, 4976, 2626, 1883, 6323, 563, 1607, 1888, 568, 960, 1379, 543, 1648, 269, 1548, 568, 519, 5860, 540, 3327, 8166, 3154, 952, 476, 25171, 277, 575, 26328, 513, 4320, 540, 476, 1911, 16720, 269, 476, 16318, 4518, 543, 26682, 563, 12709, 8018, 476, 1691, 476, 273, 4518, 1656, 5295, 8018, 8382, 6206, 269, 3848, 476, 1691, 4518, 5295, 1656, 26682, 476, 1691, 476, 272, 4518, 1656, 5295, 4518, 476, 272, 332, 1379, 1379, 568, 519, 2557, 540, 960, 2944, 538, 513, 269, 1656, 621, 786, 948, 596, 1118, 519, 1318, 5079, 607, 596, 6300, 585, 707, 1985, 10626, 3915, 563, 6637, 476, 14690, 1107, 14675, 543, 24651, 269, 16301, 538, 713, 1305, 476, 1321, 10724, 269, 8791, 476, 16318, 4518, 543, 26682, 3817, 476, 275, 1704, 22213, 901, 3296, 6257, 875, 6191, 1689, 4229, 547, 1118, 960, 4443, 547, 798, 563, 6637, 476, 15876, 1107, 10263, 540, 31515, 269, 3399, 4974, 2168, 2257, 3184, 476, 1691, 2055, 960, 1379, 543, 6191, 269, 30579, 6749, 3296, 476, 16318, 476, 275, 563, 3674, 513, 3926, 602, 2242, 513, 3196, 269, 476, 1691, 476, 273, 4518, 1656, 5295, 8018, 8382, 6206, 269, 14419, 1079, 2081, 1379, 666, 581, 2799, 563, 16318, 4518, 1656, 5295, 8018, 8382, 6206, 269, 1656, 621, 786, 948, 596, 1118, 519, 1318, 5079, 607, 596, 6300, 585, 707, 1985, 10626, 3915, 269, 26682, 1684, 4518, 476, 16318, 563, 12749, 2427, 610, 5377, 476, 277, 269, 589, 5173, 519, 2179, 540, 960, 602, 678, 19563, 1705, 593, 519, 1286, 269, 769, 743, 1441, 7077, 530, 8354, 17684, 11573, 8868, 543, 4949, 548, 5102, 2917, 476, 273, 563, 1692, 666, 1210, 513, 3684, 1118, 513, 269, 476, 1691, 476, 273, 4518, 1656, 26682, 476, 272, 269, 3848, 476, 1691, 8791, 476, 15221, 4518, 1656, 5295, 8382, 6206, 563, 24280, 519, 960, 2944, 676, 513, 476, 5325, 562, 3196, 11319, 513, 476, 271, 476, 28276, 4846, 15513, 476, 271, 476, 1839, 544, 1996, 513, 3196, 540, 476, 2537, 562, 269, 0, 15542, 528, 25966, 13038, 31745, 528, 15873, 269, 20668, 596, 666, 1118, 25656, 949, 1331, 519, 16144, 267, 8473, 267, 2338, 610, 16886, 7436, 267, 610, 513, 4216, 585, 2875, 1603, 269, 476, 273, 6398, 476, 274, 815, 476, 277, 267, 865, 476, 273, 543, 476, 274, 616, 2188, 540, 476, 277, 563, 294, 22396, 19671, 5750, 6476, 10472, 19671, 5750, 16968, 568, 513, 1390, 1907, 547, 4159, 538, 707, 4928, 610, 1688, 856, 547, 1053, 547, 2322, 538, 741, 31940, 610, 536, 5407, 269, 898, 568, 519, 1587, 540, 1079, 2898, 2338, 269, 2913, 721, 2417, 1865, 519, 3017, 1063, 3815, 543, 2789, 538, 519, 3349, 2630, 563, 4322, 13088, 4024, 5269, 6490, 528, 1944, 634, 8648, 23959, 13518, 31418, 1512, 1656, 4841, 11146, 23067, 2336, 8512, 338, 596, 666, 1118, 25656, 949, 1331, 519, 16144, 267, 8473, 267, 2338, 610, 16886, 7436, 267, 610, 513, 4216, 585, 2875, 1603, 269, 476, 273, 6398, 476, 277, 815, 476, 1321, 267, 865, 476, 1321, 568, 513, 2789, 540, 476, 277, 269, 2755, 2188, 540, 513, 1297, 616, 616, 13113, 267, 23385, 616, 12808, 563, 763, 24436, 2052, 4746, 6435, 8866, 5457, 634, 9752, 8672, 563, 763, 19671, 5750, 19776, 519, 4214, 267, 6863, 267, 543, 606, 1383, 721, 328, 269, 11638, 1255, 519, 1587, 540, 513, 2016, 1297, 543, 1776, 3815, 16611, 1927, 269, 4635, 6305, 26458, 547, 1205, 782, 2188, 563, 1607, 31745, 528, 15873, 5403, 518, 1772, 589, 4279, 15484, 1677, 18224, 769, 2659, 15858, 2107, 7435, 4934, 1677, 4841, 1677, 10925, 769, 4256, 8074, 9248, 2107, 645, 5407, 563, 8794, 3815, 3529, 610, 6498, 1505, 476, 2190, 476, 2190, 269, 0, 288, 1126, 666, 1451, 547, 2463, 519, 12918, 950, 4730, 3756, 540, 4960, 267, 971, 607, 13169, 269, 4635, 1806, 267, 5635, 519, 8458, 540, 10888, 519, 13169, 547, 1346, 540, 1373, 5734, 676, 17500, 269, 634, 12918, 540, 10888, 519, 13169, 616, 835, 538, 19939, 2929, 267, 6466, 519, 4960, 540, 1373, 13351, 676, 17500, 568, 835, 538, 1614, 4627, 8536, 269, 6684, 267, 13989, 3549, 1118, 811, 2724, 982, 519, 1004, 945, 13708, 1076, 267, 6382, 789, 9327, 1406, 3251, 538, 1870, 269, 11048, 267, 930, 1453, 2972, 13989, 607, 513, 1259, 547, 1205, 7759, 540, 30627, 543, 2566, 563, 25215, 976, 1043, 13989, 4016, 547, 513, 2039, 540, 1514, 5539, 7341, 17298, 676, 519, 13989, 2872, 267, 1519, 6608, 267, 11080, 1852, 12545, 267, 12427, 543, 21527, 269, 1452, 3646, 2832, 547, 2333, 1857, 4656, 540, 519, 4220, 543, 28746, 2404, 609, 13989, 269, 589, 3743, 13989, 3609, 786, 948, 2327, 602, 11080, 24284, 543, 2238, 798, 711, 11874, 1860, 7925, 2516, 269, 901, 2376, 786, 2491, 1018, 3743, 13989, 568, 543, 875, 621, 5540, 7925, 2516, 269, 1284, 786, 1413, 693, 930, 540, 519, 1034, 7986, 7341, 543, 519, 6402, 1063, 3743, 13989, 2800, 563, 4407, 519, 2783, 814, 1044, 1472, 585, 5553, 267, 1966, 13989, 568, 1869, 2808, 513, 2790, 4576, 269, 634, 2165, 1966, 13989, 729, 1101, 1031, 676, 2506, 559, 26689, 788, 601, 514, 267, 945, 3989, 621, 607, 968, 326, 3711, 1782, 812, 807, 892, 538, 476, 9965, 277, 269, 634, 2165, 729, 2663, 1031, 676, 519, 1977, 5369, 12278, 5948, 630, 4338, 288, 264, 543, 568, 1759 ]

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

[ 6316, 630, 340, 267, 341, 264, 798, 454, 258, 11434, 952, 674, 18853, 4149, 4953, 26086, 264, 11203, 674, 18853, 4149, 4953, 17635, 264, 798, 454, 258, 19930, 589, 815, 589, 772, 2715, 263, 340, 267, 341, 264, 8679, 258, 19930, 6167, 12778, 26086, 267, 642, 994, 258, 567, 2132, 589, 7531, 326, 3553, 815, 2715, 10926, 3698, 9769, 27133, 26086, 267, 642, 2187, 825, 2518, 575, 3553, 454, 825, 2385, 318, 340, 815, 575, 3553, 314, 340, 2639, 825, 2385, 24449, 815, 575, 3553, 314, 341, 2639, 825, 585, 14584, 538, 575, 3553, 269, 12399, 10031, 1038, 952, 575, 3553, 314, 591, 23753, 316, 2652, 2385, 318, 340, 281, 3097, 2018, 575, 3553, 314, 591, 23753, 316, 815, 2385, 24449, 692, 3698, 1118, 27133, 17635, 2187, 825, 2518, 575, 3553, 454, 825, 575, 3553, 314, 341, 316, 815, 642, 692, 3698, 737, 6350, 32039, 31855, 2187, 825, 2518, 575, 3553, 454, 825, 585, 642, 538, 717, 9131, 3200, 1182, 11172, 912, 1038, 1118, 27133, 17635, 2020, 825, 1948, 653, 11781, 14116, 3553, 2020, 825, 589, 815, 32582, 476, 1948, 5934, 17364, 3529, 692, 825, 8728, 815, 1592, 31855, 9131, 539, 2471, 11172, 2020, 825, 8728, 31699, 4590, 825, 585, 1775, 538, 2039, 12759, 263, 539, 2471, 15892, 1038, 552, 815, 8728, 5157, 2639, 1038, 530, 267, 579, 267, 642, 815, 552, 454, 1038, 952, 575, 3553, 314, 340, 316, 11203, 575, 3553, 314, 341, 14158, 2018, 589, 6910, 16216, 994, 2018, 9769, 27133, 26086, 267, 642, 994, 2018, 1948, 2745, 1412, 1952, 2056, 1412, 1341, 1193, 16216, 994, 2018, 1948, 653, 11781, 14116, 3553, 994, 2018, 1948, 686, 815, 6151, 17750, 4590, 8931, 825, 1820, 27719, 333, 10955, 2471, 602, 1106, 519, 29358, 1975, 8911, 10326, 2433, 1422, 333, 257, 3097, 825, 533, 2745, 10490, 2020, 3698, 5352, 14682, 1429, 3890, 1384, 825, 717, 815, 13634, 1038, 1412, 3200, 1182, 262, 2433, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 11172, 2676, 1038, 1412, 539, 2471, 262, 2433, 1305, 8443, 454, 2018, 630, 275, 267, 1412, 320, 3299, 1412, 321, 262, 13211, 2018, 630, 279, 267, 1412, 320, 3299, 1412, 327, 262, 13211, 2018, 630, 275, 267, 1412, 321, 3299, 1412, 320, 262, 13211, 2018, 630, 279, 267, 1412, 321, 3299, 1412, 322, 262, 13211, 2018, 630, 1556, 267, 1412, 321, 3299, 1412, 327, 262, 13211, 2018, 630, 279, 267, 1412, 322, 3299, 1412, 321, 262, 13211, 2018, 630, 278, 267, 1412, 322, 3299, 1412, 323, 262, 13211, 2018, 630, 275, 267, 1412, 322, 3299, 1412, 325, 262, 13211, 2018, 630, 273, 267, 1412, 322, 3299, 1412, 328, 262, 13211, 2018, 630, 278, 267, 1412, 323, 3299, 1412, 322, 262, 13211, 2018, 630, 278, 267, 1412, 323, 3299, 1412, 324, 262, 13211, 2018, 630, 1691, 267, 1412, 323, 3299, 1412, 325, 262, 13211, 2018, 630, 280, 267, 1412, 324, 3299, 1412, 323, 262, 13211, 2018, 630, 1015, 267, 1412, 324, 3299, 1412, 325, 262, 13211, 2018, 630, 275, 267, 1412, 325, 3299, 1412, 322, 262, 13211, 2018, 630, 1691, 267, 1412, 325, 3299, 1412, 323, 262, 13211, 2018, 630, 1015, 267, 1412, 325, 3299, 1412, 324, 262, 13211, 2018, 630, 273, 267, 1412, 325, 3299, 1412, 326, 262, 13211, 2018, 630, 272, 267, 1412, 326, 3299, 1412, 327, 262, 13211, 2018, 630, 277, 267, 1412, 326, 3299, 1412, 328, 262, 13211, 2018, 630, 279, 267, 1412, 327, 3299, 1412, 320, 262, 13211, 2018, 630, 1556, 267, 1412, 327, 3299, 1412, 321, 262, 13211, 2018, 630, 272, 267, 1412, 327, 3299, 1412, 326, 262, 13211, 2018, 630, 278, 267, 1412, 327, 3299, 1412, 328, 262, 13211, 2018, 630, 273, 267, 1412, 328, 3299, 1412, 322, 262, 13211, 2018, 630, 277, 267, 1412, 328, 3299, 1412, 326, 262, 13211, 2018, 630, 278, 267, 1412, 328, 3299, 1412, 327, 5073, 1038, 476, 7481, 825, 7684, 454, 8931, 825, 2132, 717, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 717, 815, 5352, 14682, 1429, 4590, 825, 737, 6350, 32039, 31855, 994, 0, 5814, 705, 322, 692, 5035, 2806, 560, 3555, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 791, 2187, 1038, 1582, 11519, 11069, 815, 791, 692, 825, 1219, 5106, 4311, 2187, 1038, 1582, 11519, 11069, 269, 7774, 318, 11069, 10797, 5035, 25956, 528, 263, 5471, 659, 20199, 284, 29582, 269, 5723, 13967, 9508, 2187, 825, 7711, 29582, 269, 629, 5724, 24709, 454, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 5035, 22493, 25363, 618, 528, 288, 263, 25363, 618, 528, 2187, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 5035, 22493, 25363, 618, 528, 289, 263, 25363, 618, 528, 2187, 825, 1219, 5106, 318, 11069, 4311, 2187, 1038, 1780, 692, 3698, 1292, 10031, 825, 6405, 318, 574, 921, 618, 528, 19963, 815, 22493, 25363, 618, 528, 288, 4590, 825, 27727, 815, 2806, 560, 3555, 263, 935, 4740, 318, 574, 921, 618, 528, 19963, 994, 825, 27727, 269, 7774, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 454, 258, 11644, 476, 272, 815, 7529, 2525, 692, 12399, 815, 18358, 307, 523, 3299, 1412, 23562, 4868, 3299, 1412, 1320, 8812, 23300, 11161, 815, 1496, 1015, 267, 476, 736, 267, 476, 1789, 6540, 323, 5315, 815, 9598, 18750, 760, 263, 12399, 267, 2418, 11723, 2745, 5560, 5315, 9239, 258, 11644, 476, 273, 815, 7529, 2525, 692, 26967, 815, 2715, 257, 4459, 9899, 476, 6246, 267, 1412, 10106, 9166, 476, 1724, 267, 1412, 332, 677, 344, 9166, 476, 276, 267, 1412, 8999, 1067, 9166, 476, 279, 10926, 12399, 815, 18358, 4459, 3299, 1412, 10106, 3299, 1412, 332, 677, 344, 3299, 1412, 8999, 1067, 23300, 339, 1157, 564, 815, 29129, 328, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 263, 12399, 15892, 825, 952, 1920, 314, 12399, 5157, 14963, 2999, 476, 274, 281, 3097, 1038, 19044, 6910, 263, 271, 994, 825, 8640, 476, 274, 2999, 1920, 314, 12399, 5157, 14963, 2999, 476, 1321, 912, 1038, 19044, 6910, 263, 1015, 994, 825, 8640, 1920, 314, 12399, 5157, 14963, 3436, 476, 1321, 912, 1038, 19044, 6910, 263, 1428, 994, 328, 6834, 476, 272, 454, 2745, 4433, 636, 6025, 1157, 564, 11723, 692, 720, 815, 3403, 3488, 720, 286, 5073, 4289, 318, 720, 815, 11713, 4289, 318, 720, 6910, 263, 720, 994, 4067, 815, 6358, 3488, 4067, 5073, 4289, 12173, 815, 11713, 4289, 12173, 6910, 28442, 994, 26967, 815, 11713, 26967, 815, 9598, 18750, 760, 17338, 12173, 267, 1592, 318, 720, 11723, 258, 11644, 476, 274, 815, 7529, 2525, 284, 7531, 25912, 815, 13634, 262, 4067, 9166, 1412, 313, 4673, 3299, 3097, 262, 21551, 5091, 622, 9166, 1412, 3192, 276, 3299, 3097, 262, 16579, 528, 12173, 9166, 1412, 288, 2006, 857, 334, 2107, 974, 8615, 12821, 7431, 3299, 3097, 1405, 4286, 15058, 318, 743, 582, 1127, 9166, 18358, 5443, 3299, 1412, 342, 1580, 3299, 1412, 18244, 3299, 1412, 24610, 28710, 3097, 262, 514, 1181, 1049, 318, 4818, 564, 6002, 9166, 18358, 294, 777, 3299, 1412, 295, 261, 300, 3299, 1412, 13051, 564, 2023, 28710, 3097, 262, 15893, 14067, 2803, 9166, 476, 10384, 271, 267, 3097, 6415, 1994, 318, 10233, 9166, 346, 3097, 825, 1412, 293, 8896, 9166, 1412, 19990, 3299, 3097, 825, 1412, 8967, 664, 9166, 1412, 1042, 3299, 3097, 825, 1412, 4785, 9166, 18358, 335, 1074, 3299, 1412, 13582, 11172, 8679, 825, 7684, 692, 25912, 9131, 15893, 14067, 2803, 11172, 815, 476, 273, 454, 2745, 263, 25912, 994, 2745, 3488, 313, 4673, 262, 1341, 1412, 521, 262, 1341, 1412, 743, 1801, 616, 3486, 5073, 343, 815, 27835, 12248, 787, 318, 21551, 9166, 1412, 8967, 664, 262, 8679, 25912, 269, 26303, 3287, 994, 2745, 3287, 2020, 604, 1412, 514, 1181, 1049, 318, 4818, 564, 6002, 262, 538, 6216, 912, 825, 6216, 9131, 514, 1181, 1049, 318, 4818, 564, 6002, 262, 4940, 6572, 3488, 5327, 580, 783, 5073, 825, 1820, 263, 25912, 2020, 23437, 263, 25912, 9131, 21551, 5091, 622, 262, 7481, 2745, 263, 25912, 9131, 514, 1181, 1049, 318, 4818, 564, 3218, 262, 6012, 273, 7481, 2745, 263, 25912, 9131, 332, 1994, 318, 10233, 262, 6012, 262, 4785, 262, 7481, 2745, 12759, 263, 25912, 4917, 2745, 263, 25912, 269, 12399, 31156, 3467, 318, 517, 318, 345, 4673, 815, 27835, 21551, 5091, 622, 9166, 476, 3192, 276, 2676, 262, 15893, 14067, 2803, 9166, 476, 1911, 876, 10926, 25912, 269, 26303, 263, 3467, 318, 517, 318, 345, 4673, 994, 2745, 263, 25912, 2020, 2745, 263, 25912, 9131, 15893, 14067, 2803, 262, 7481, 258, 1492, 5767, 1239, 7670, 27866, 519, 3105, 1883, 1871, 7531, 258, 11644, 476, 275, 815, 13117, 284, 692, 22852, 815, 1496, 834, 31466, 4486, 2580, 834, 300, 4883, 773, 2580, 834, 291, 10735, 2580, 834, 288, 21119, 2580, 834, 5522, 19513, 31116, 22852, 318, 273, 815, 31460, 1721, 4994, 267, 3593, 538, 26246, 263, 22852, 2187, 825, 3755, 318, 273, 27709, 316, 815, 3593, 454, 2745, 263, 22852, 318, 273, 2020, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 771, 2284, 318, 22852, 29758, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 29758, 2020, 4134, 2284, 318, 22852, 318, 290, 815, 31460, 2908, 8266, 815, 15044, 263, 22852, 994, 1721, 1883, 267, 1871, 538, 26246, 28956, 8266, 2187, 825, 771, 2284, 318, 22852, 318, 290, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 318, 290, 2020, 4134, 2284, 318, 22852, 318, 288, 815, 31460, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 952, 1412, 328, 262, 538, 3755, 314, 4486, 14158, 1038, 3136, 454, 825, 771, 2284, 318, 22852, 318, 288, 314, 7407, 316, 815, 1883, 454, 2745, 263, 4134, 2284, 318, 22852, 318, 288, 2020, 4134, 2284, 318, 22852, 318, 288, 815, 31460, 1721, 1883, 267, 1871, 538, 26246, 263, 22852, 2187, 825, 952, 3755, 314, 4486, 6012, 271, 316, 2652, 1412, 300, 262, 610, 3755, 314, 4486, 6012, 271, 316, 2652, 1412, 303, 12466, 1038, 771, 2284, 318, 22852, 318, 288, 314, 7407, 316, 815, 1883, 22562, 2745, 263, 4134, 2284, 318, 22852, 318, 288, 2020, 692, 672, 19638, 7531, 0, 258, 15576, 932, 517, 6390, 1299, 9324, 903, 572, 595, 684, 5633, 7531, 5228, 21773, 1104, 2037, 636, 7531, 5035, 667, 3925, 263, 5319, 636, 2187, 825, 24505, 815, 476, 271, 454, 825, 667, 32052, 815, 476, 272, 454, 825, 700, 9128, 307, 815, 476, 273, 454, 825, 681, 20846, 815, 476, 274, 7531, 258, 9540, 3965, 1362, 585, 519, 3642, 547, 4558, 10974, 540, 519, 2063, 1634, 6928, 454, 5035, 26676, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10594, 514, 815, 32582, 4449, 567, 1948, 634, 1101, 1315, 3312, 5734, 281, 519, 834, 10594, 514, 257, 5734, 454, 1038, 1582, 16691, 24002, 815, 32582, 23526, 1948, 5903, 540, 782, 519, 10974, 540, 519, 6928, 454, 1038, 1582, 269, 24105, 815, 6936, 4449, 476, 1948, 901, 1843, 814, 4986, 538, 621, 454, 1038, 1582, 6155, 3925, 815, 667, 3925, 269, 16810, 8587, 1948, 4347, 5435, 547, 519, 1101, 4287, 1412, 1575, 28847, 825, 1219, 2312, 4311, 2187, 1038, 1582, 269, 10594, 514, 815, 11713, 1038, 1582, 16691, 24002, 815, 11713, 1038, 1582, 6155, 3925, 815, 667, 3925, 269, 16810, 454, 1038, 1582, 269, 24105, 815, 6936, 692, 825, 1219, 1039, 318, 1723, 24002, 4311, 267, 10974, 2187, 1038, 1582, 16691, 24002, 6910, 263, 1723, 24002, 994, 1038, 1582, 269, 10594, 514, 815, 1582, 16691, 24002, 314, 271, 2639, 1038, 1582, 269, 24105, 815, 8771, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 269, 24105, 692, 825, 1219, 1205, 318, 1723, 24002, 4311, 2187, 1038, 2132, 1582, 16691, 24002, 692, 825, 1948, 16849, 8900, 1592, 952, 519, 5169, 5734, 568, 8900, 454, 825, 1219, 1205, 318, 10594, 514, 4311, 2187, 1038, 2132, 1582, 269, 10594, 514, 692, 825, 1219, 1205, 5091, 3925, 4311, 2187, 1038, 2132, 1582, 6155, 3925, 692, 825, 1219, 27261, 5091, 3925, 4311, 2187, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 16810, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 6185, 32052, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 6185, 32052, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 269, 4041, 10499, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 269, 4041, 10499, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 10611, 20846, 454 ]

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

[ 596, 666, 610, 1589, 596, 666, 1405, 269, 1411, 2811, 1318, 256, 910, 8361, 16110, 630, 5908, 274, 910, 476, 3707, 278, 2020, 17445, 528, 454, 16274, 281, 476, 1015, 4239, 476, 1220, 276, 454, 15803, 281, 476, 24798, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 1428, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 876, 281, 2641, 454, 323, 583, 1206, 527, 5206, 912, 312, 584, 1731, 8064, 5206, 912, 312, 584, 1731, 8064, 5206, 912, 3528, 519, 1259, 6867, 1206, 527, 875, 798, 596, 917, 602, 476, 275, 343, 20742, 1058, 581, 476, 2190, 888, 275, 343, 1341, 586, 815, 476, 2190, 4534, 15010, 1877, 596, 666, 1405, 917, 602, 621, 568, 3160, 547, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 1482, 568, 1934, 4917, 5472, 649, 917, 689, 2243, 6565, 568, 602, 476, 275, 311, 266, 312, 284, 332, 4869, 675, 2473, 543, 2473, 266, 276, 312, 284, 332, 4869, 675, 962, 454, 275, 343, 1341, 586, 815, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 952, 649, 6785, 602, 1946, 547, 4194, 2417, 713, 568, 519, 2626, 11723, 275, 343, 1341, 586, 568, 2698, 623, 649, 723, 543, 649, 917, 621, 476, 2190, 692, 514, 7848, 2473, 281, 476, 275, 270, 276, 555, 851, 568, 623, 454, 514, 7848, 962, 281, 476, 272, 270, 277, 555, 851, 568, 623, 692, 20135, 623, 815, 476, 2190, 692, 852, 952, 2473, 815, 476, 276, 343, 267, 623, 568, 476, 275, 343, 454, 514, 962, 815, 476, 277, 344, 267, 623, 568, 586, 692, 275, 343, 1341, 586, 568, 2698, 623, 711, 1318, 1317, 476, 275, 343, 20742, 284, 20135, 7848, 2473, 454, 13707, 623, 284, 276, 311, 543, 2698, 681, 284, 276, 312, 454, 17445, 528, 454, 16274, 281, 476, 1691, 9484, 476, 1220, 276, 454, 15803, 281, 476, 4200, 274, 454, 19613, 281, 3162, 9705, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 13647, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 876, 281, 2764, 454, 4131, 700, 1314, 773, 6166, 519, 2626, 2094, 621, 781, 1200, 6995, 563, 6303, 318, 692, 288, 4007, 19804, 589, 4007, 267, 2098, 23167, 19804, 2098, 23167, 476, 2439, 306, 29262, 454, 16274, 281, 476, 2190, 9484, 476, 1220, 276, 454, 15803, 281, 476, 6245, 271, 454, 27063, 281, 476, 1704, 692, 20132, 19560, 476, 25375, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1626, 5463, 476, 1220, 276, 267, 476, 6021, 281, 5379, 454, 323, 583, 1206, 527, 5206, 912, 1839, 692, 2280, 912, 7076, 540, 3575, 675, 2473, 281, 476, 276, 343, 454, 7076, 540, 7848, 962, 281, 476, 277, 344, 692, 275, 343, 1341, 586, 815, 476, 2190, 454, 343, 1341, 476, 276, 344, 815, 476, 1839, 692, 338, 9876, 585, 1535, 454, 343, 815, 476, 276, 692, 276, 343, 815, 476, 1839, 692, 296, 3858, 609, 6867, 1206, 527, 781, 1935, 269, 3807, 991, 547, 12172, 513, 2370, 3787, 912, 4131, 1535, 581, 519, 2053, 540, 519, 5223, 476, 275, 281, 272, 538, 7848, 2473, 454, 2280, 586, 581, 519, 2053, 540, 519, 5223, 476, 272, 281, 276, 538, 7848, 962, 454, 955, 285, 519, 2179, 540, 6995, 623, 815, 476, 275, 343, 266, 586, 815, 476, 2190, 454, 1723, 6332, 681, 284, 1535, 266, 276, 344, 815, 476, 1839, 692, 2750, 18075, 1018, 6867, 1206, 527, 1705, 269, 4270, 267, 594, 666, 1405, 4235, 602, 1454, 6995, 865, 594, 2285, 873, 782, 547, 6867, 1206, 527, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 9338, 12283, 289, 6938, 692, 14006, 539, 676, 16317, 763, 717, 19181, 2894, 25758, 288, 11550, 25770, 300, 912, 288, 14704, 2813, 513, 4677, 689, 1079, 3492, 878, 10580, 4171, 4834, 616, 607, 5205, 912, 3287, 266, 273, 264, 273, 1341, 630, 344, 268, 277, 264, 273, 815, 476, 1626, 543, 630, 343, 266, 273, 264, 273, 1341, 630, 344, 266, 277, 264, 273, 284, 476, 10037, 454, 763, 1858, 540, 519, 1079, 10580, 786, 581, 4988, 609, 6371, 269, 1548, 568, 519, 1858, 540, 602, 3296, 286, 2496, 1892, 9338, 12283, 289, 6938, 910, 692, 296, 8263, 596, 5921, 454, 3287, 266, 273, 8203, 273, 1341, 630, 344, 268, 277, 8203, 273, 815, 476, 1626, 543, 630, 343, 266, 273, 8203, 273, 1341, 630, 344, 266, 277, 8203, 273, 284, 476, 10037, 454, 9767, 1533, 602, 519, 1079, 10580, 616, 3492, 878, 267, 855, 2687, 547, 707, 4834, 519, 1101, 835, 814, 513, 8998, 540, 11196, 273, 267, 277, 264, 543, 11196, 273, 16427, 277, 264, 865, 972, 568, 5693, 513, 1462, 334, 780, 1892, 9338, 12283, 289, 6938, 910, 692, 13433, 782, 519, 476, 273, 781, 3544, 540, 519, 2385, 4185, 616, 16302, 692, 1892, 9338, 12283, 289, 6938, 910, 692, 8923, 13182, 543, 2953, 519, 1462, 334, 563, 763, 2243, 3081, 519, 10580, 616, 3492, 878, 267, 855, 519, 4834, 2285, 1079, 10580, 540, 2234, 4512, 476, 275, 543, 476, 280, 799, 12969, 1142, 824, 563, 25898, 519, 10580, 581, 1875, 8410, 1417, 878, 267, 610, 835, 540, 519, 4834, 1185, 513, 1462, 334, 2496, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 294, 31678, 9351, 9046, 269, 589, 14704, 2813, 513, 4677, 689, 1079, 3492, 878, 10580, 4171, 4834, 616, 607, 5205, 281, 630, 343, 266, 273, 8203, 273, 23444, 344, 268, 277, 8203, 273, 284, 1626, 543, 630, 343, 266, 273, 8203, 273, 23444, 344, 268, 277, 8203, 273, 284, 10037, 634, 1858, 1063, 519, 10580, 786, 581, 4988, 609, 6371, 269, 1548, 568, 519, 1858, 540, 602, 6693, 273, 269, 12693, 10789, 692, 2237, 513, 9971, 585, 519, 1858, 1063, 1079, 3492, 878, 10580, 952, 519, 8953, 540, 519, 9018, 5858, 568, 1079, 1447, 982, 1614, 2053, 519, 2234, 1756, 540, 519, 6418, 5858, 563, 274, 269, 12693, 2979, 2262, 1966, 692, 288, 13551, 4677, 568, 476, 1789, 10264, 676, 476, 2412, 10264, 269, 3487, 540, 519, 4677, 568, 6569, 538, 1931, 547, 3888, 513, 3802, 3118, 540, 7833, 8700, 1472, 621, 269, 634, 1858, 540, 519, 1007, 4677, 568, 835, 28451, 519, 1858, 540, 519, 2025, 4677, 269, 1215, 2647, 568, 519, 3802, 3118, 888, 275, 269, 12693, 2979, 692, 300, 7559, 327, 568, 9544, 513, 14328, 9782, 4677, 269, 769, 519, 4099, 540, 519, 4677, 267, 1352, 12662, 513, 4130, 1427, 9771, 15429, 540, 6371, 269, 634, 6371, 568, 476, 273, 10264, 676, 476, 274, 10264, 269, 1548, 568, 519, 1858, 540, 519, 9782, 4677, 888, 276, 269, 12693, 4569, 692, 763, 7516, 540, 11427, 269, 7327, 13987, 781, 4009, 4677, 616, 8920, 730, 1210, 513, 4336, 3815, 540, 476, 274, 269, 1548, 568, 519, 2078, 1063, 519, 1858, 540, 519, 1007, 4677, 543, 519, 2025, 4677, 888, 277, 269, 12693, 23817, 6865, 4953, 23802, 263, 5746, 13612, 4041, 2020, 16248, 10580, 609, 1114, 2234, 4512, 723, 741, 7740, 593, 513, 1899, 269, 634, 1079, 4130, 10580, 616, 3330, 519, 4102, 5858, 267, 543, 1142, 5858, 568, 17242, 547, 519, 824, 1079, 269, 634, 8953, 540, 519, 4102, 5858, 568, 476, 1015, 7397, 269, 8625, 519, 1858, 540, 6693, 278, 269, 12693, 12928, 2135, 4610, 780, 288, 4677, 538, 1106, 540, 513, 4009, 568, 11303, 676, 513, 2619, 799, 568, 476, 272, 332, 2647, 593, 1079, 6587, 5011, 543, 476, 272, 317, 273, 332, 2647, 593, 519, 824, 1079, 6587, 5011, 269, 604, 519, 1858, 540, 519, 2619, 568, 476, 1704, 332, 317, 273, 5861, 531, 1529, 622, 519, 15943, 540, 519, 4677, 543, 519, 1858, 540, 519, 2230, 6693, 279, 269, 12693, 2979, 692, 288, 4677, 538, 519, 3484, 540, 513, 4009, 267, 568, 11303, 676, 513, 2619, 799, 568, 476, 272, 332, 2647, 593, 1079, 6587, 5011, 543, 476, 272, 270, 273, 332, 2647, 593, 519, 824, 1079, 6587, 5011, 269, 1403, 519, 1858, 540, 519, 2619, 568, 476, 1704, 916, 32464, 267, 5173, 519, 2433, 32309, 540, 519, 4677, 9351, 540, 6693, 280, 269, 12693, 2979, 692, 300, 7559, 327, 568, 9544, 513, 14328, 9782, 4677, 269, 769, 519, 4099, 540, 519, 4677, 267, 1352, 12662, 513, 4130, 1427, 9771, 15429, 540, 6371, 269, 634, 6371, 568, 476, 273, 10264, 676, 476, 274, 10264, 269, 1548, 568, 519, 1858, 540, 519, 9782, 4677, 888, 1015, 269, 12693, 4569, 692, 2467, 616, 1079, 9764, 10651, 589, 543, 645, 269, 634, 18592, 540, 4677, 589, 568, 476, 272, 269, 31318, 5998, 543, 519, 1858, 540, 4677, 645, 568, 476, 1839, 2053, 519, 1858, 540, 4677, 589, 269, 4855, 519, 18592, 540, 4677, 645, 780, 5415, 5381, 5999, 0, 258, 1773, 5217, 513, 11282, 1062, 692, 1012, 11473, 281, 1773, 5217, 513, 11282, 1062, 692, 15919, 649, 991, 547, 960, 609, 938, 692, 1012, 1773, 5217, 513, 11282, 1062, 692, 15919, 649, 991, 547, 960, 609, 938, 2203, 1210, 513, 1114, 11282, 1062, 5581, 269, 901, 568, 1360, 3730, 950, 7893, 519, 4099, 540, 2527, 610, 824, 2168, 3601, 269, 3213, 15453, 1949, 666, 849, 581, 1360, 3730, 950, 7011, 1782, 2694, 1927, 2073, 528, 952, 596, 2811, 1210, 513, 3791, 5428, 4342, 3301, 11690, 514, 267, 9591, 519, 960, 1055, 1305, 269, 1677, 1205, 3323, 609, 602, 267, 1577, 781, 979, 909, 547, 17972, 267, 2097, 909, 547, 13129, 16387, 267, 543, 2097, 1524, 1934, 547, 3213, 15453, 3590, 269, 2353, 596, 991, 547, 798, 568, 5581, 835, 1448, 269, 1924, 5469, 596, 1294, 519, 1448, 1934, 568, 519, 5169, 267, 30966, 267, 855, 594, 1616, 547, 946, 713, 1448, 1934, 267, 865, 594, 6415, 2469, 547, 4945, 593, 713, 1448, 269, 1656, 5469, 267, 607, 4166, 607, 594, 4945, 593, 602, 1448, 972, 267, 519, 11282, 1062, 7575, 972, 267, 543, 594, 4312, 3893, 606, 1535, 267, 586, 543, 1990, 780, 3086, 594, 666, 1847, 602, 1472, 267, 865, 594, 1616, 519, 1535, 2469, 547, 519, 1318, 267, 594, 1131, 899, 519, 586, 2469, 1394, 267, 543, 594, 1616, 519, 1990, 6849, 909, 267, 865, 594, 6415, 2469, 547, 16212, 602, 4287, 269, 1924, 594, 1118, 2386, 602, 519, 1990, 568, 6849, 909, 267, 519, 1535, 568, 2469, 602, 1259, 267, 543, 519, 586, 568, 2469, 602, 1259, 269, 3767, 594, 4312, 3989, 602, 8799, 11282, 1062, 972, 267, 543, 594, 666, 4945, 15528, 547, 5581, 269, 3767, 594, 666, 5581, 607, 1082, 11282, 1949, 607, 594, 899, 267, 4470, 593, 1018, 594, 6415, 3257, 269, 769, 713, 2013, 1934, 267, 594, 666, 2141, 1175, 979, 1394, 909, 1934, 547, 513, 1007, 11282, 1062, 269, 1809, 2899, 596, 4312, 3964, 602, 11282, 1062, 267, 1631, 596, 666, 946, 621, 547, 1265, 856, 930, 1344, 827, 519, 2203, 267, 899, 519, 4099, 540, 2527, 269, 2913, 781, 979, 547, 21414, 267, 543, 2097, 909, 1934, 547, 7136, 16544, 780, 3383, 7136, 16544, 267, 676, 9949, 267, 3096, 519, 9949, 3213, 15453, 3590, 269, 1656, 5469, 594, 1205, 519, 4099, 540, 2527, 1934, 267, 1934, 543, 1934, 267, 938, 1535, 540, 476, 271, 267, 586, 540, 476, 274, 269, 4649, 543, 1990, 540, 476, 271, 269, 1809, 952, 594, 6467, 547, 3213, 15453, 3590, 2290, 267, 5469, 782, 1346, 2418, 1689, 267, 1317, 1346, 2418, 616, 538, 6935, 547, 1141, 519, 4099, 540, 2527, 568, 2687, 547, 713, 3213, 15453, 3590, 2290, 269, 1924, 621, 781, 513, 2656, 1259, 547, 1847, 1919, 1472, 543, 6218, 873, 593, 519, 4493, 540, 602, 1007, 11282, 1062, 269, 20348, 17582, 2488, 513, 8799, 4183, 547, 28196, 710, 519, 2199, 11282, 1062, 1210, 707, 2203, 780, 1103, 1249, 267, 596, 666, 3651, 2789, 11282, 1949, 1759, 2390, 707, 2115, 543, 6467, 1063, 1022, 540, 873, 693, 786, 780, 17004, 13973, 692, 2971, 901, 3381, 568, 851, 540, 692, 306, 13521, 17582, 476, 1001, 275, 12708, 9751, 692, 9032, 3381, 4245, 5788, 476, 277, 4510, 274, 13588, 692, 12041, 692, 22091, 663, 782, 1923, 7502, 8985, 782, 454, 272, 269, 12693, 4985, 692, 272, 332, 476, 7906, 338, 454, 272, 269, 8080, 454, 272, 332, 476, 278, 338, 454, 273, 269, 4635, 519, 3635, 6119, 454, 4510, 338, 454, 273, 269, 12693, 476, 272, 269, 12875, 532, 519, 28497, 692, 4029, 332, 476, 1724, 338, 454, 272, 269, 5487, 684, 4221, 20348, 17582, 585, 519, 1101, 942 ]

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

[ 2984, 267, 649, 786, 1294, 875, 891, 4507, 948, 2149, 4025, 602, 2339, 547, 721, 267, 938, 2950, 267, 543, 1256, 3003, 2477, 780, 5331, 6972, 1524, 513, 14297, 2749, 8265, 4904, 609, 2413, 5656, 543, 10393, 588, 22824, 2390, 513, 4190, 2025, 2679, 602, 814, 1044, 972, 585, 7366, 540, 1296, 269, 1411, 5469, 6946, 1286, 19133, 593, 922, 6821, 267, 7381, 9486, 15603, 538, 3636, 7943, 267, 543, 5310, 1256, 513, 15799, 4687, 930, 1686, 827, 945, 3710, 621, 543, 950, 269, 1452, 616, 1175, 513, 1906, 4128, 1946, 1004, 1871, 4587, 3889, 282, 789, 2995, 2984, 827, 519, 2250, 1247, 849, 4946, 1915, 547, 938, 4872, 543, 10034, 269, 1717, 267, 3006, 267, 891, 1271, 4609, 991, 4027, 547, 2061, 873, 689, 1373, 23542, 1639, 610, 12012, 1932, 1454, 269, 2334, 781, 1141, 6561, 3609, 2501, 538, 2439, 15463, 5146, 3609, 4016, 547, 4031, 267, 6042, 267, 4808, 267, 543, 824, 3652, 2813, 676, 6608, 547, 2697, 267, 8190, 267, 4383, 267, 543, 3895, 1713, 3140, 2200, 1369, 741, 16278, 269, 22749, 1711, 971, 4507, 1317, 789, 5431, 519, 2956, 540, 7863, 2686, 16782, 585, 2104, 5481, 543, 4180, 602, 1646, 1281, 711, 2097, 693, 519, 13258, 540, 9561, 3407, 4773, 540, 1686, 780, 3086, 1577, 803, 2671, 606, 1383, 540, 875, 713, 1568, 538, 2259, 269, 5994, 952, 707, 4884, 4956, 547, 1628, 513, 1007, 10918, 32041, 2282, 835, 540, 1346, 10475, 2025, 5656, 649, 14437, 827, 4505, 269, 9453, 1022, 8825, 3800, 538, 1747, 267, 519, 9367, 1223, 5732, 15237, 1524, 519, 2025, 2497, 547, 1118, 1259, 585, 519, 32041, 269, 1809, 1018, 952, 707, 2146, 2418, 713, 2679, 543, 6499, 547, 1832, 621, 2496, 1607, 568, 1141, 9086, 3268, 538, 269, 589, 1876, 949, 2291, 602, 3340, 9367, 547, 2015, 4244, 6753, 585, 741, 3785, 1354, 18363, 13840, 1713, 2127, 269, 1403, 1100, 8925, 616, 1336, 267, 1287, 1419, 2053, 267, 4966, 1590, 6218, 2436, 519, 1788, 1131, 2014, 9048, 1706, 762, 2800, 547, 519, 3135, 269, 1403, 865, 267, 519, 2229, 949, 1900, 538, 543, 20912, 10479, 585, 519, 4070, 610, 2154, 2242, 547, 7413, 3441, 780, 4131, 781, 1491, 1776, 1383, 5018, 693, 519, 4098, 1107, 1325, 5336, 525, 718, 320, 9257, 585, 5274, 8249, 4886, 2324, 12725, 538, 12925, 269, 1358, 1445, 593, 14304, 3540, 2486, 5639, 543, 11450, 593, 1480, 543, 2825, 2924, 269, 2290, 2460, 540, 741, 960, 1522, 4125, 14957, 585, 3656, 20038, 585, 3504, 15456, 4609, 12219, 676, 4683, 7269, 610, 4199, 10868, 269, 2060, 2178, 6561, 4507, 538, 1747, 267, 3906, 899, 1325, 5336, 525, 718, 320, 666, 2327, 602, 891, 11720, 6804, 24790, 540, 1480, 1686, 2611, 16856, 585, 3025, 547, 1451, 689, 543, 5660, 780, 3383, 1985, 942, 596, 2263, 707, 8378, 610, 3643, 12341, 1007, 267, 1589, 827, 782, 519, 4241, 12583, 6456, 1318, 1354, 707, 4064, 269, 1656, 3314, 267, 7064, 547, 6561, 3609, 543, 9086, 267, 1082, 540, 891, 6909, 4025, 723, 513, 8165, 4960, 1996, 519, 12503, 540, 2413, 2208, 269, 8625, 267, 649, 666, 8661, 543, 16102, 891, 9048, 2897, 762, 6402, 547, 938, 3838, 2250, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 280, 3583, 1475, 294, 1516, 20429, 547, 6468, 543, 21989, 538, 28950, 807, 13466, 20238, 1470, 18243, 329, 597, 1475, 26222, 910, 28950, 807, 1475, 268, 910, 13466, 4785, 291, 476, 13679, 267, 1822, 11406, 347, 280, 7597, 1475, 290, 527, 714, 839, 281, 16779, 2199, 2950, 267, 5355, 2199, 10350, 13466, 313, 574, 600, 585, 27065, 543, 4886, 1475, 26222, 910, 21157, 1475, 268, 910, 13466, 4785, 291, 476, 25784, 267, 1822, 11406, 347, 280, 6924, 1475, 19102, 2084, 6468, 781, 30880, 543, 23830, 538, 8644, 5984, 13466, 4263, 8705, 3919, 585, 1382, 543, 6848, 1646, 1475, 26222, 910, 3557, 540, 8644, 5984, 1475, 268, 910, 13466, 4785, 291, 476, 26237, 267, 1822, 11406, 347, 280, 6858, 1475, 23220, 7627, 15272, 22580, 998, 12160, 2218, 20989, 538, 26288, 13466, 5353, 32418, 334, 1475, 26222, 910, 26288, 1475, 268, 910, 13466, 4785, 291, 476, 13136, 267, 1822, 11406, 347, 280, 5780, 1475, 4462, 4328, 15272, 543, 6468, 779, 5494, 6847, 547, 8081, 6554, 7073, 1436, 538, 16888, 13466, 303, 29176, 543, 5980, 4659, 1475, 26222, 910, 16888, 1475, 268, 910, 13466, 4785, 291, 476, 22550, 267, 1822, 11406, 347, 280, 4792, 1475, 1805, 21880, 28517, 6406, 5980, 20429, 543, 26844, 593, 5274, 543, 7025, 7126, 538, 12925, 13466, 2704, 5336, 525, 718, 320, 9257, 585, 5274, 8249, 4886, 1475, 26222, 910, 12925, 1475, 268, 910, 13466, 4785, 291, 476, 25784, 267, 1822, 11406, 347, 280, 5038, 1475, 23220, 7627, 5548, 9200, 894, 22640, 547, 4762, 3224, 8693, 32389, 538, 18335, 267, 8478, 267, 21896, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15463, 5146, 8889, 543, 18489, 3175, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 19866, 27264, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 27686, 5455, 3776, 5113, 609, 8752, 2439, 5331, 952, 649, 1223, 946, 1945, 607, 2241, 607, 1769, 547, 948, 2973, 909, 938, 1604, 286, 4270, 267, 3494, 621, 610, 711, 267, 3744, 723, 23125, 856, 875, 547, 798, 1175, 602, 1210, 513, 1184, 1572, 2584, 665, 520, 24608, 12159, 540, 14107, 256, 901, 1797, 789, 4312, 4362, 513, 1259, 547, 10244, 519, 1379, 540, 1769, 547, 2736, 1524, 5739, 6878, 883, 4130, 267, 20027, 2694, 269, 2913, 781, 4685, 1318, 538, 543, 1451, 827, 713, 4241, 2029, 2439, 5575, 267, 1577, 781, 1174, 1018, 513, 18463, 568, 269, 6056, 1394, 547, 707, 2257, 6901, 950, 596, 6404, 1114, 6464, 1927, 543, 3006, 4767, 1007, 6547, 8345, 269, 589, 18463, 568, 899, 513, 2027, 25961, 945, 11250, 909, 891, 3114, 6547, 1510, 3478, 1031, 909, 3294, 1107, 7168, 3579, 267, 1318, 2496, 3086, 267, 4952, 9256, 513, 18463, 609, 7943, 269, 2334, 781, 4010, 1018, 4523, 1282, 2584, 665, 520, 4519, 256, 1635, 4946, 513, 1808, 1826, 540, 18463, 1570, 547, 7252, 6534, 547, 7943, 267, 649, 666, 20006, 513, 5832, 5114, 602, 2337, 4894, 14107, 689, 1216, 543, 2011, 780, 2080, 781, 875, 621, 1568, 281, 1879, 7943, 31438, 593, 519, 10776, 7458, 2627, 267, 621, 2300, 2572, 9211, 1369, 519, 18463, 1570, 269, 1452, 10069, 1242, 9211, 1287, 2746, 609, 5135, 6675, 543, 1216, 11517, 1459, 538, 519, 5790, 269, 8625, 267, 789, 1106, 19535, 2249, 971, 607, 18038, 2643, 18119, 630, 15121, 265, 264, 799, 616, 3810, 2500, 693, 8840, 1524, 1585, 2010, 540, 14107, 883, 12863, 7135, 899, 3327, 8166, 543, 1216, 269, 4595, 519, 18463, 3788, 24240, 2429, 713, 1184, 267, 621, 8952, 2324, 24091, 547, 9004, 5533, 936, 1279, 5712, 780, 4131, 803, 2285, 596, 606, 1383, 547, 9414, 922, 7145, 269, 5994, 6972, 2059, 513, 11112, 2749, 8265, 4904, 609, 9688, 32669, 4947, 689, 6517, 8429, 676, 269, 3767, 4605, 6821, 22862, 609, 513, 6094, 4494, 540, 713, 5863, 18463, 1570, 269, 1306, 3141, 12345, 5734, 1346, 6821, 267, 789, 1376, 2324, 2182, 547, 9243, 1125, 6757, 9362, 19501, 676, 6472, 269, 3683, 942, 267, 713, 1131, 3648, 2087, 519, 2298, 540, 2011, 596, 13236, 1247, 588, 13764, 998, 4884, 2439, 20118, 267, 713, 4480, 666, 849, 581, 4294, 547, 1625, 1518, 13572, 1216, 4703, 269, 4469, 334, 908, 5867, 9280, 609, 29512, 2326, 666, 3927, 31358, 5214, 2339, 267, 4551, 267, 543, 824, 5739, 8069, 2390, 4598, 547, 7943, 269, 901, 5499, 3070, 3091, 4126, 585, 5466, 930, 4101, 1216, 5533, 2152, 1472, 519, 1158, 780, 2026, 596, 666, 1294, 267, 519, 1761, 3156, 540, 2584, 665, 520, 24608, 12159, 540, 14107, 616, 5318, 543, 11212, 9621, 269, 898, 781, 5963, 11121, 547, 1589, 827, 782, 519, 2081, 649, 1522, 8415, 713, 2029, 547, 1711, 8902, 5054, 585, 6000, 543, 2104, 5481, 269, 5901, 3695, 543, 1565, 1317, 945, 6487, 910, 6148, 835, 1554, 9358, 786, 2097, 909, 609, 606, 6909, 5647, 602, 2242, 519, 1158, 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, 10755, 269, 271, 4366, 279, 18192, 280, 454, 20428, 281, 8447, 7070, 267, 18395, 1656, 8330, 5268, 12695, 27511, 281, 3859, 1062, 282, 2347, 25536, 282, 2470, 282, 11707, 454, 15697, 281, 476, 866, 5147, 476, 1708, 274, 630, 6021, 281, 3066, 281, 736, 595, 12239, 994, 27670, 267, 11707, 543, 3601, 540, 519, 9891, 3590, 616, 21845, 538, 519, 5943, 540, 519, 13159, 4039, 18356, 3069, 630, 2421, 519, 1482, 2278, 1040, 4340, 547, 13159, 4039, 18356, 267, 3388, 568, 3448, 269, 7102, 7805, 2612, 565, 583, 1143, 630, 2254, 2406, 23223, 766, 547, 4336, 540, 21021, 21635, 267, 6207, 3693, 541, 1465, 267, 23223, 766, 547, 942, 264, 568, 606, 21903, 31827, 689, 7182, 13684, 676, 1496, 528, 593, 316, 8701, 1242, 24319, 602, 786, 23366, 1291, 547, 31495, 13133, 566, 540, 9259, 630, 534, 1278, 21903, 264, 9648, 593, 1875, 1673, 1311, 569, 28507, 10253, 610, 1256, 593, 28507, 855, 11397, 10253, 538, 2230, 610, 942, 269, 1403, 3388, 568, 3448, 267, 4704, 14604, 786, 2291, 1141, 5536, 616, 10785, 543, 1141, 10785, 616, 2713, 7919, 269, 3047, 568, 267, 4061, 267, 21845, 1934, 538, 811, 1469, 267, 1312, 607, 513, 9325, 543, 267, 607, 513, 2713, 9687, 581, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21900, 665, 520, 24608, 667, 18341, 566, 540, 15724, 583, 1218, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 7025, 1315, 21694, 6513, 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, 19565, 27140, 543, 476, 866, 628, 11416, 2475, 3778, 281, 10289, 26913, 267, 18650, 267, 543, 15213, 998, 9085, 692, 29020, 281, 901, 1576, 1770, 786, 1683, 1053, 609, 606, 538, 3829, 2079, 540, 519, 3140, 2796, 4478, 8474, 267, 4187, 267, 543, 5191, 1282, 519, 476, 866, 628, 2540, 538, 519, 2136, 2276, 269, 1635, 6313, 8366, 20421, 11174, 15923, 3332, 971, 607, 834, 10403, 4248, 257, 676, 2549, 2088, 13198, 336, 2006, 5937, 1177, 5459, 267, 1053, 786, 2263, 4798, 540, 6043, 267, 3961, 267, 543, 1514, 5126, 1247, 2502, 538, 2565, 3206, 2238, 2966, 547, 1921, 519, 2250, 609, 4207, 2152, 1472, 5198, 267, 1379, 267, 543, 17979, 780, 296, 269, 8466, 12745, 281, 4197, 26913, 543, 18650, 28073, 4438, 519, 476, 866, 628, 11416, 692, 265, 24167, 519, 9872, 540, 8474, 543, 922, 1764, 593, 1977, 2486, 454, 265, 15766, 908, 1585, 3029, 540, 4187, 1519, 18326, 267, 26453, 582, 720, 267, 543, 1582, 2000, 756, 3130, 454, 265, 22718, 875, 11585, 5129, 513, 1909, 538, 5935, 4187, 5322, 630, 324, 3052, 1421, 2261, 3019, 2950, 2020, 2862, 269, 19171, 7335, 540, 834, 10403, 4248, 9899, 1133, 17569, 532, 21771, 543, 16992, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 27903, 540, 519, 3627, 1715, 25053, 29274, 454, 310, 27903, 540, 519, 11759, 1777, 320, 8845, 3751, 8191, 13815, 454, 2304, 1473, 773, 20129, 7454, 31805, 454, 288, 1715, 3840, 8648, 7454, 31805, 454, 288, 1189, 20421, 2278, 2549, 2088, 13198, 336, 2006, 5937, 1177, 5459, 23445, 513, 11430, 3740, 267, 3015, 3140, 1647, 17263, 3209, 827, 1079, 20665, 1453, 781, 9101, 689, 513, 24873, 543, 519, 1082, 2081, 789, 1265, 5191, 563 ]

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

[ 1898, 4296, 1063, 9583, 19635, 4610, 971, 607, 2780, 2257, 267, 1686, 267, 543, 23316, 269, 3245, 19825, 3504, 11706, 1949, 547, 17516, 2413, 3059, 10618, 267, 17117, 540, 713, 6389, 16877, 6267, 6457, 1302, 543, 18374, 269, 1306, 596, 3136, 28798, 707, 1983, 998, 2259, 2042, 543, 2417, 1353, 267, 3314, 602, 9639, 543, 18094, 6556, 7096, 12587, 269, 8414, 7384, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 532, 3755, 3357, 547, 713, 2985, 2221, 676, 10024, 891, 7223, 2474, 912, 301, 2562, 8025, 16998, 32767, 13878, 295, 20796, 298, 19447, 10498, 306, 267, 28976, 6824, 4082, 9498, 267, 6305, 26458, 540, 14009, 267, 18445, 9163, 24626, 267, 5751, 2979, 834, 5320, 2042, 257, 834, 277, 628, 3446, 8487, 15542, 1681, 12945, 959, 30796, 338, 267, 476, 275, 628, 3446, 8454, 948, 267, 8940, 269, 5793, 3455, 24626, 1547, 635, 267, 2979, 268, 28809, 9498, 267, 834, 274, 323, 29890, 257, 1341, 4103, 18694, 267, 14000, 5112, 3070, 563, 291, 3554, 1180, 28809, 7223, 267, 513, 548, 5040, 948, 267, 23266, 540, 13392, 4542, 267, 476, 279, 3787, 9352, 9498, 267, 5131, 2979, 3211, 593, 1210, 10789, 570, 3796, 267, 834, 4118, 3815, 6656, 2580, 27764, 10019, 3666, 3114, 563, 22706, 476, 279, 30878, 2979, 9212, 267, 3732, 3211, 585, 476, 274, 6113, 3446, 2979, 8675, 267, 12307, 609, 26271, 531, 3213, 324, 13266, 267, 7005, 19038, 3363, 2055, 266, 1863, 4647, 267, 3450, 7223, 547, 15795, 1178, 1457, 267, 7223, 3211, 9386, 18448, 563, 10403, 20389, 306, 1449, 1957, 2157, 476, 277, 476, 279, 267, 2994, 585, 3450, 9981, 267, 13004, 3211, 593, 8167, 585, 3446, 476, 277, 563, 19667, 529, 2225, 3652, 585, 2338, 476, 272, 547, 476, 1015, 31872, 273, 267, 9097, 1297, 1309, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 7089, 7010, 1315, 3525, 983, 25226, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 3778, 998, 5915, 16623, 281, 589, 6733, 883, 519, 3883, 540, 30963, 692, 5970, 596, 2479, 4862, 540, 519, 3883, 540, 30963, 286, 898, 781, 513, 3909, 1257, 602, 1082, 1004, 3494, 814, 1271, 4245, 827, 1686, 543, 1480, 2623, 269, 1809, 875, 798, 649, 917, 952, 1018, 621, 3081, 2965, 5949, 286, 2334, 781, 1141, 1629, 2762, 2501, 538, 2439, 20779, 2762, 568, 519, 1353, 540, 5095, 543, 741, 4162, 936, 942, 269, 1635, 3168, 693, 1919, 899, 2551, 2450, 267, 4332, 3928, 267, 2669, 3928, 267, 543, 9194, 3270, 267, 12206, 666, 1451, 513, 2603, 827, 513, 2486, 543, 922, 2528, 269, 1656, 789, 666, 946, 713, 1344, 547, 948, 3313, 2436, 1978, 2984, 610, 6589, 1522, 581, 3020, 780, 1103, 713, 1576, 1770, 267, 649, 2811, 2469, 547, 1491, 513, 6251, 1413, 693, 519, 3883, 540, 30963, 1210, 519, 2645, 540, 1629, 2762, 269, 1284, 3513, 2263, 2055, 899, 834, 6011, 2462, 729, 519, 13605, 327, 924, 2551, 8119, 543, 834, 6343, 1281, 519, 2963, 2995, 721, 827, 519, 10923, 4259, 540, 519, 3883, 540, 30963, 8119, 1452, 616, 1175, 513, 1906, 540, 519, 4241, 2055, 649, 3513, 10994, 607, 649, 4685, 883, 713, 10578, 1888, 780, 4131, 781, 1376, 676, 6158, 827, 519, 13605, 327, 2572, 267, 835, 540, 519, 1292, 2516, 5018, 538, 519, 3883, 540, 30963, 269, 4340, 547, 519, 1257, 267, 519, 13605, 327, 2572, 941, 513, 1895, 540, 1004, 945, 5030, 593, 519, 1977, 11782, 1354, 3864, 13896, 8452, 269, 1358, 1185, 741, 1378, 2229, 267, 4984, 267, 543, 1259, 540, 1272, 780, 3719, 875, 1082, 13605, 327, 2572, 941, 972, 4010, 286, 901, 568, 1141, 1629, 2762, 2501, 538, 13561, 269, 16024, 2103, 723, 1031, 1585, 2409, 547, 7447, 519, 2450, 540, 519, 13605, 327, 924, 2551, 1759, 593, 10881, 1336, 538, 519, 1257, 269, 1280, 1383, 267, 789, 1522, 1413, 693, 519, 1297, 540, 21847, 3238, 538, 12959, 267, 610, 519, 2179, 540, 2244, 2877, 547, 1489, 1114, 21092, 2950, 269, 9122, 593, 891, 9273, 267, 930, 5640, 1589, 519, 13605, 327, 924, 2551, 949, 723, 1044, 3833, 1804, 1107, 7654, 1256, 6634, 540, 1004, 2439, 8170, 1576, 267, 21501, 2551, 7306, 3884, 1405, 2141, 2653, 267, 2523, 950, 7231, 609, 3504, 7239, 269, 1703, 616, 1419, 10616, 538, 938, 1702, 267, 543, 3006, 519, 1239, 3274, 3085, 1405, 2291, 15042, 269, 1924, 1247, 15295, 2079, 666, 2285, 721, 3407, 4030, 883, 519, 2250, 267, 621, 781, 1271, 547, 3314, 602, 891, 9193, 5749, 1405, 1305, 538, 6149, 780, 5194, 4277, 2460, 540, 519, 3883, 540, 30963, 568, 922, 6609, 540, 519, 10923, 5468, 1141, 519, 13605, 327, 2572, 5030, 269, 2368, 1004, 3494, 602, 519, 2621, 4330, 538, 519, 1257, 3576, 1747, 2066, 519, 3003, 1977, 21571, 267, 1247, 1866, 8044, 602, 519, 2962, 729, 3908, 547, 513, 4130, 1858, 780, 5629, 1586, 267, 1629, 2762, 666, 948, 721, 8774, 1769, 593, 713, 2243, 269, 1635, 6313, 2188, 899, 2916, 267, 14099, 267, 543, 2067, 2200, 267, 12206, 666, 1205, 513, 1732, 2631, 540, 799, 4525, 1522, 723, 1044, 2111, 547, 1489, 1804, 5095, 899, 1346, 4330, 538, 519, 3883, 540, 30963, 269, 1280, 3236, 267, 2127, 609, 15417, 3037, 267, 10731, 1216, 267, 543, 7646, 16374, 1131, 723, 1044, 811, 2693, 547, 2844, 14762, 12977, 982, 3046, 1066, 24301, 610, 13792, 512, 1495, 6652, 780, 3383, 2484, 267, 1034, 14046, 960, 5267, 602, 519, 13605, 327, 2572, 4440, 4769, 1405, 2661, 782, 936, 3345, 543, 3162, 3013, 269, 5502, 267, 621, 4667, 811, 2693, 602, 789, 20948, 513, 1808, 3148, 1369, 519, 17113, 1107, 4352, 10502, 1141, 602, 3148, 729, 4092, 3788, 513, 2339, 540, 7521, 780, 2026, 596, 666, 1294, 267, 4974, 1686, 998, 519, 7828, 540, 1629, 2762, 666, 1930, 909, 1007, 18817, 540, 1620, 543, 5813, 269, 6787, 596, 2811, 5461, 538, 1565, 811, 827, 519, 3883, 540, 30963, 610, 824, 3140, 5931, 267, 713, 15834, 1935, 3091, 513, 5763, 540, 7399, 585, 3408, 543, 6602, 780, 12244, 22830, 1384, 2414, 3142, 713, 1523, 547, 1272, 267, 2119, 2870, 707, 1378, 9910, 24683, 4919, 5619, 585, 513, 14070, 2486, 269, 7994, 513, 5172, 1433, 267, 7260, 267, 610, 7641, 1397, 543, 4952, 596, 2811, 513, 14787, 3843, 547, 1174, 519, 1158, 538, 799, 621, 3217, 1747, 269, 9105, 3054, 2055, 899, 1384, 265, 1215, 2462, 568, 519, 2551, 888, 265, 1548, 5686, 540, 6009, 798, 1004, 723, 888, 265, 7316, 798, 789, 2661, 888, 265, 1548, 616, 741, 9821, 543, 5389, 2496, 10190, 267, 946, 707, 4267, 547, 1711, 11708, 267, 12125, 267, 610, 7851, 602, 9414, 707, 4681, 269, 1411, 1223, 849, 2328, 513, 2110, 1867, 28388, 707, 8753, 543, 4687, 1022, 26208, 610, 13655, 596, 20114, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 616, 1934, 454, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 454, 347, 17138, 1475, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 2008, 347, 26397, 7392, 1475, 9349, 3848, 2008, 347, 17413, 540, 22910, 1475, 1960, 278, 2008, 24820, 18308, 1475, 29834, 267, 6276, 661, 8198, 347, 29394, 1475, 3725, 2106, 9529, 267, 3143, 601, 645, 8198, 347, 9349, 7170, 1475, 9349, 540, 30963, 589, 3578, 11208, 4860, 529, 1243, 281, 634, 15845, 585, 9147, 17959, 2008, 347, 21812, 1475, 28062, 566, 585, 9147, 3194, 543, 30963, 5525, 2008, 347, 21292, 1475, 9349, 540, 30963, 17323, 910, 12920, 7371, 8879, 282, 3883, 540, 30963, 17323, 910, 17290, 17323, 282, 5915, 2762, 282, 13605, 327, 924, 282, 11524, 538, 519, 8092, 282, 15510, 12025, 2008, 17004, 9509, 7956, 454, 1692, 3509, 13605, 327, 2572, 286, 281, 634, 3883, 540, 30963, 693, 519, 4446, 540, 5915, 2762, 454, 22832, 661, 269, 8055, 454, 22832, 661, 269, 8055, 568, 13030, 7022, 540, 513, 3084, 1382, 18294, 2282, 6115, 267, 667, 269, 595, 1421, 543, 568, 513, 1382, 12314, 540, 513, 1382, 1770, 538, 3140, 1629, 2762, 693, 11062, 2160, 563, 288, 2757, 1899, 540, 4661, 1996, 519, 8978, 640, 540, 519, 3883, 540, 30963, 568, 547, 1265, 930, 27581, 3978, 16950, 538, 519, 1433, 779, 3140, 1469, 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, 4437, 7240, 25780, 616, 13801, 2943, 13181, 6589, 602, 5490, 883, 519, 1272, 267, 10781, 267, 543, 1764, 540, 8037, 2043, 269, 1452, 6386, 2709, 3407, 4030, 883, 519, 2833, 267, 4555, 267, 543, 3527, 540, 971, 14789, 267, 3246, 3988, 609, 513, 4514, 8223, 540, 741, 7418, 547, 1585, 4610, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 4644, 267, 2497, 267, 543, 2553, 3238, 538, 13167, 2502, 27367, 25780, 1369, 519, 2796, 540, 19565, 27140, 543, 5530, 589, 1749, 269, 13018, 267, 649, 786, 1445, 593, 808, 28903, 630, 297, 327, 1046, 8518, 5398, 6796, 8189, 264, 5530, 7698, 3883, 11872, 267, 10223, 875, 27367, 25780, 666, 5351, 1053, 8600, 585, 8013, 11400, 780, 14294, 881, 766, 540, 4437, 7240, 4787, 564, 2583, 912, 5785, 14945, 18693, 7240, 25780, 4196, 2789, 5301, 538, 1312, 3872, 543, 16351, 5468, 269, 1358, 6338, 1762, 6267, 547, 9565, 5515, 267, 8141, 7279, 827, 1114, 22825, 267, 543, 8300, 873, 547, 11441, 585, 30493, 269, 5015, 267, 789, 948, 1053, 1174, 3140, 2621, 543, 6848, 2242, 998, 519, 7828, 540, 1367, 2729, 269, 1635, 7421, 519, 3664, 543, 4539, 5185, 676, 891, 7986, 14789, 267, 1053, 666, 2721, 19320, 609, 4207, 2152, 543, 11349, 2565, 3206, 1983, 780, 1103, 519, 2796, 540, 808, 28903, 981, 7041, 267, 27367, 25780, 5512, 10457, 547, 24559, 2933, 609, 1883, 20334, 538, 1585, 11890, 267, 7551, 14123, 513, 811, 7096, 9787, 540, 11382, 29422, 17640, 547, 14430, 476, 272, 543, 476, 273, 269, 5047, 267, 26762, 519, 10080, 267, 18144, 267, 543, 18517, 540, 891, 2043, 2636, 8321, 1218, 547, 5660, 519, 6626, 6286, 540, 741, 960, 543, 24808, 524, 690, 550, 6114, 1282, 18362, 780, 1805, 4450, 540, 4437, 7240, 4787, 564, 2583, 912, 29432, 288, 1134, 2275, 2761, 539, 27367, 17250, 3335, 740, 12742, 547, 513, 17396, 2497, 602, 6087, 3988, 547, 1246, 519, 1641, 781, 3460, 609, 8897, 269, 901, 3919, 3622, 13408, 519, 1739, 2609, 1384, 2162, 4985, 1384, 2304, 2500, 4367, 1058, 533, 1664, 519, 5467, 781, 1719, 1247, 4259, 519, 3942, 585, 519, 2239, 269, 898, 949, 2874, 540, 513, 9159, 23278, 1774, 267, 513, 11495, 10839, 267, 610, 513, 5618, 7650, 540, 519, 1641, 781, 1034, 1713, 9740, 4433, 1040, 3958, 267, 9591, 519, 942, 1974, 543, 13664, 4087, 666, 7259, 519, 5304, 543, 1305, 519, 3159, 585, 519, 14230, 540, 519, 17250, 780, 2162, 7216, 5020, 1384, 1607, 3296, 1419, 7710, 519, 24233, 1296, 540, 519, 1367, 267, 17766, 1769, 593, 741, 909, 32523, 267, 1920, 7506, 267, 543, 3355, 13341, 609, 1761, 2127, 540, 1719, 269, 5548, 1324, 883, 891, 3344, 11942, 6568, 543, 8887, 1464, 267, 3850, 7820, 3988, 547, 2697, 1455, 8017, 1063, 2933, 543, 519, 16502, 5103, 1022, 13796, 610, 2686, 13103, 780, 2162, 4065, 543, 19396, 4886, 1384, 2080, 267, 519, 27367, 17250, 12225, 2873, 519, 1641, 781, 4081, 18697, 543, 3318, 18330, 267, 19286, 908, 19325, 267, 2591, 267, 543, 7432, 2798, 602, 8032, 741, 4876, 269, 31209, 532 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2635, 1604, 585, 782, 824, 2249, 563, 2026, 596, 1451, 827, 519, 4644, 540, 11975, 899, 17761, 802, 538, 8733, 3666, 267, 596, 949, 4898, 827, 741, 1764, 593, 2199, 1426, 3103, 563, 25842, 593, 10871, 5253, 15750, 454, 763, 10347, 3666, 540, 513, 1426, 1357, 568, 899, 513, 3014, 540, 808, 1263, 320, 267, 1141, 519, 8851, 540, 1256, 835, 2249, 666, 2014, 519, 3003, 1062, 547, 12900, 563, 295, 1177, 802, 1404, 513, 2629, 1909, 607, 1283, 11975, 538, 1082, 8134, 267, 4543, 547, 10038, 519, 2551, 540, 741, 10352, 543, 2226, 8733, 3666, 563, 4913, 267, 519, 1764, 540, 17761, 802, 593, 2199, 1426, 3103, 4422, 3564, 1175, 10122, 269, 1358, 849, 4196, 607, 25094, 12310, 267, 7738, 909, 1286, 337, 542, 543, 7303, 519, 3262, 540, 2068, 563, 1607, 25872, 1063, 17761, 802, 543, 824, 2249, 8711, 519, 2956, 540, 1169, 11248, 538, 519, 1426, 1357, 543, 519, 17866, 2470, 540, 519, 5117, 563, 8139, 519, 1909, 540, 17761, 802, 607, 1312, 11975, 543, 25094, 12310, 568, 2629, 585, 5726, 3646, 543, 4509, 519, 3666, 540, 519, 1426, 1357, 563, 8448, 5017, 540, 10352, 602, 25094, 3188, 267, 971, 607, 642, 30743, 267, 1404, 13974, 1271, 5107, 538, 519, 5117, 563, 8448, 20002, 540, 2776, 344, 602, 2480, 822, 3188, 454, 289, 8674, 899, 32608, 543, 31450, 3006, 3343, 856, 6980, 676, 25094, 27701, 269, 2755, 17761, 802, 616, 5097, 1634, 585, 741, 10122, 5759, 267, 972, 616, 930, 2249, 602, 723, 1044, 4767, 25094, 27701, 563, 4913, 267, 642, 30743, 543, 32608, 616, 811, 1134, 8153, 585, 741, 25094, 27701, 2623, 267, 607, 789, 723, 7463, 14624, 585, 621, 563, 19284, 17761, 802, 267, 642, 30743, 723, 513, 2631, 540, 9329, 602, 2636, 873, 547, 12398, 1286, 337, 542, 689, 513, 3845, 269, 661, 24346, 267, 593, 519, 824, 1688, 267, 723, 3532, 581, 6545, 543, 5657, 976, 602, 1450, 873, 547, 15237, 6306, 9157, 1286, 322, 13293, 563, 1103, 4683, 2127, 267, 17761, 802, 723, 849, 1044, 4767, 25094, 27701, 593, 519, 3788, 540, 25190, 976, 543, 824, 1507, 2831, 269, 1717, 267, 713, 2623, 568, 711, 607, 1455, 607, 741, 10122, 2623, 563, 14454, 267, 1247, 17761, 802, 949, 25094, 3188, 593, 8317, 267, 621, 568, 711, 741, 3119, 1797, 540, 13844, 1426, 563, 2005, 568, 1271, 547, 723, 4977, 1344, 827, 519, 8023, 6208, 540, 1114, 6177, 2249, 538, 1931, 547, 1732, 1174, 741, 1909, 538, 519, 5117, 543, 547, 1118, 5483, 5726, 3664, 563, 27735, 540, 6452, 23847, 6176, 454, 2691, 7234, 519, 2956, 540, 4977, 1344, 267, 621, 779, 2629, 547, 1174, 519, 1764, 621, 814, 593, 5726, 3646, 269, 6452, 23847, 1344, 666, 948, 3391, 5726, 3646, 2509, 519, 2127, 543, 2249, 602, 991, 621, 1034, 563, 12234, 267, 621, 666, 3310, 1857, 8226, 267, 3056, 547, 811, 1489, 543, 7616, 585, 5726, 7341, 563, 25842, 593, 11094, 27557, 454, 8256, 3569, 3646, 666, 581, 3648, 6766, 676, 519, 1909, 602, 1114, 6177, 2249, 1404, 538, 741, 8134, 267, 607, 7152, 676, 519, 1249, 602, 936, 476, 2412, 260, 540, 782, 6177, 5095, 616, 538, 7771, 563, 4415, 713, 538, 2247, 267, 621, 779, 1271, 547, 1174, 519, 3020, 2470, 540, 5017, 267, 1519, 17761, 802, 269, 2755, 930, 1004, 949, 3494, 602, 17761, 802, 616, 25094, 12310, 267, 519, 4641, 568, 602, 789, 2461, 711, 563, 1607, 25749, 666, 723, 606, 1764, 593, 5726, 3646, 267, 607, 621, 949, 1291, 547, 11234, 10054, 827, 519, 1909, 17761, 802, 1404, 538, 741, 5117, 563, 3528, 1620, 519, 3020, 2470, 540, 17761, 802, 267, 5726, 1235, 666, 1732, 2149, 891, 5017, 543, 741, 9249, 267, 3056, 547, 513, 8902, 5117, 2949, 563, 12234, 267, 713, 1702, 666, 948, 547, 7006, 601, 14868, 543, 20887, 827, 5017, 267, 799, 666, 3310, 1857, 8226, 543, 1291, 547, 811, 2500, 5726, 3646, 538, 519, 2104, 563, 14813, 26475, 593, 5398, 32185, 454, 12441, 596, 917, 602, 707, 8226, 540, 5017, 267, 1519, 17761, 802, 267, 666, 7494, 1764, 5726, 3646, 543, 519, 1072, 540, 741, 8134, 888, 14276, 8226, 4249, 513, 2629, 1909, 538, 8159, 519, 1967, 540, 5726, 3646, 267, 543, 20887, 827, 17761, 802, 607, 25094, 12310, 666, 1291, 547, 2942, 8456, 2509, 891, 5017, 540, 10352, 563, 1607, 666, 1267, 538, 513, 8519, 18515, 547, 2149, 873, 543, 741, 9249, 267, 6038, 3056, 547, 513, 7771, 538, 741, 5095, 563, 2005, 779, 1271, 547, 13599, 519, 1857, 593, 519, 3020, 2470, 540, 17761, 802, 607, 11975, 602, 1404, 513, 4105, 1909, 538, 13326, 741, 8134, 563, 3528, 4657, 519, 1259, 1004, 2070, 891, 23836, 5017, 267, 649, 666, 2327, 741, 6668, 543, 519, 1072, 540, 519, 1604, 789, 9468, 563, 4415, 713, 538, 2247, 267, 621, 779, 2629, 547, 3262, 4656, 827, 519, 2956, 540, 17761, 802, 543, 741, 1909, 538, 938, 1158, 563, 21761, 18542, 5999, 454, 1432, 568, 519, 3328, 14438, 540, 513, 17761, 330, 888, 12441, 596, 917, 602, 519, 3328, 14438, 540, 513, 17761, 330, 666, 4268, 7494, 4470, 593, 513, 1297, 540, 2188, 286, 1452, 2188, 1331, 519, 2249, 540, 17761, 330, 267, 519, 3148, 538, 799, 621, 2729, 267, 543, 1256, 519, 4527, 540, 11975, 563, 2690, 1383, 267, 930, 2249, 540, 17761, 802, 666, 2661, 909, 547, 476, 736, 1296, 538, 519, 3552, 267, 1247, 1866, 949, 1152, 2661, 585, 513, 1906, 1296, 563, 12234, 267, 17761, 802, 2713, 538, 21617, 4525, 4043, 547, 723, 10156, 12468, 335, 753, 982, 1346, 2713, 538, 15911, 16374, 563, 8601, 891, 3604, 267, 835, 3364, 568, 1978, 281, 17761, 802, 616, 11212, 14388, 7068, 602, 723, 9862, 547, 7639, 538, 513, 2647, 2039, 540, 5054, 563, 3383, 952, 596, 2461, 3168, 547, 1451, 811, 827, 519, 4241, 1158, 540, 17761, 802, 267, 972, 779, 1100, 1732, 942, 547, 1376, 3695, 741, 6909, 14438, 543, 519, 1082, 2188, 602, 3310, 621, 563, 1692, 798, 17761, 802, 5968, 609, 1142, 824, 888, 2710, 596, 2479, 4898, 875, 17761, 802, 5968, 609, 1142, 824, 888, 28694, 1893, 543, 13047, 3074, 616, 1883, 2081, 602, 17761, 802, 6655, 6835, 547, 741, 26600, 10863, 269, 1879, 17761, 802, 616, 829, 3481, 267, 789, 946, 741, 1560, 1893, 547, 5365, 741, 15752, 547, 824, 5017, 563, 2690, 1383, 267, 513, 17761, 330, 1522, 3262, 922, 12209, 543, 1847, 922, 2212, 538, 513, 1808, 1259, 547, 5365, 602, 621, 779, 4712, 547, 6968, 563, 295, 1177, 802, 849, 946, 13047, 3074, 547, 5968, 267, 971, 607, 1085, 872, 2583, 267, 3458, 4461, 267, 543, 7125, 269, 1452, 4992, 666, 6655, 513, 2039, 540, 6835, 267, 689, 16857, 21855, 547, 20282, 7125, 563, 4407, 17761, 802, 949, 711, 581, 25094, 12310, 267, 741, 1950, 2792, 2409, 616, 4241, 547, 7747, 543, 1353, 563, 1432, 568, 519, 10122, 1967, 2557, 540, 17761, 802, 3379, 547, 824, 5017, 540, 10352, 888, 2691, 621, 2501, 547, 10122, 1967, 3928, 267, 17761, 802, 616, 1851, 519, 1034, 9952, 5017, 540, 10352, 563, 19853, 10122, 2553, 616, 9867, 543, 22537, 267, 609, 1114, 2249, 13461, 593, 1114, 2409, 547, 6952, 741, 10352, 563, 5278, 17761, 802, 267, 899, 519, 2699, 26904, 17761, 330, 267, 4782, 547, 6968, 689, 513, 19335, 829, 577, 543, 2220, 17274, 1524, 593, 741, 10352, 609, 6909, 3432, 543, 6111, 563, 8448, 2249, 267, 899, 519, 23101, 779, 17761, 330, 267, 616, 1634, 585, 741, 22231, 543, 2702, 547, 23603, 998, 10053, 7733, 538, 13287, 540, 10352, 563, 1103, 2474, 540, 10352, 7375, 267, 17761, 802, 616, 2309, 2065, 21962, 543, 786, 979, 1310, 513, 2647, 3099, 540, 2831, 267, 689, 1507, 23224, 543, 7786, 547, 3677, 5017, 543, 11864, 563, 14454, 267, 17761, 802, 723, 513, 1164, 10122, 1967, 2557, 3379, 547, 824, 5017, 540, 10352, 267, 7064, 547, 741, 8650, 5075, 267, 3532, 5657, 976, 267, 543, 16190, 8184, 563, 1432, 568, 519, 3328, 2450, 540, 10352, 602, 17761, 802, 6968, 888, 3383, 267, 596, 1589, 596, 917, 3388, 827, 17761, 802, 543, 741, 10352, 286, 4270, 267, 1577, 803, 2995, 596, 267, 972, 779, 811, 982, 10742, 519, 3750, 563, 295, 1177, 802, 616, 711, 1175, 930, 27823, 25094, 12310, 7996, 585, 741, 10352, 547, 2097, 547, 873, 269, 3143, 267, 1100, 267, 1100, 267, 1250, 3659, 269, 1358, 2461, 9952, 21962, 267, 609, 513, 3309, 2039, 540, 2249, 602, 723, 2189, 10122, 2994, 563, 2691, 621, 2501, 547, 519, 3328, 2450, 540, 741, 10352, 267, 621, 2731, 5673, 593, 519, 1808, 17761, 330, 2249, 543, 519, 2623, 540, 741, 10352, 563, 5278, 17761, 802, 267, 899, 519, 23101, 779, 8316, 330, 267, 4782, 4130, 10352, 899, 5152, 18346, 267, 1247, 1866, 267, 899, 519, 4414, 26904, 8316, 330, 267, 666, 1491, 1524, 3677, 10352, 899, 17544, 610, 25277, 563, 4517, 1577, 779, 711, 7340, 827, 519, 2623, 540, 519, 10352, 269, 589, 17761, 330, 949, 581, 2111, 547, 6968, 513, 3677, 3662, 267, 855, 952, 602, 3662, 568, 1932, 3728, 610, 1932, 26227, 267, 519, 17761, 330, 949, 723, 547, 7017, 585, 4130, 10352, 563, 3383, 267, 950, 621, 2501, 547, 519, 3328, 2450, 540, 10352, 602, 17761, 802, 6968, 267, 972, 2731, 568, 1100, 835, 2450, 13352, 782, 2626, 269, 898, 782, 5673, 593, 519, 1808, 17761, 330, 2249, 543, 519, 2623, 540, 741, 10352, 563, 1692, 798, 17761, 802, 3082, 547, 2242, 538, 741, 1604, 543, 1426, 2959, 888, 2252, 596, 2461, 8049, 827, 875, 17761, 802, 3082, 547, 2242, 538, 741, 1604, 543, 1426, 2959, 267, 621, 779, 1271, 547, 1174, 741, 9542, 2994, 543, 8023, 2623, 563, 295, 1177, 802, 616, 1634, 585, 741, 11108, 10122, 1983, 267, 855, 789, 849, 723, 519, 2702, 547, 3082, 547, 4657, 6381, 563, 2690, 1383, 267, 1282, 2053, 540, 1426, 20317, 267, 17761, 802, 949, 18992, 547, 25094, 27701, 610, 10122, 4130, 10352, 269, 1358, 949, 849, 1689, 741, 10122, 4480, 610, 22109, 547, 513, 1007, 4087, 538, 3406, 540, 1426, 563, 4322, 14624, 1450, 17761, 802, 547, 7639, 543, 8853, 538, 513, 3099, 540, 5054, 563, 32381, 540, 741, 8023, 2623, 267, 17761, 802, 2611, 3532, 543, 23836, 7068, 602, 18220, 519, 5191, 543, 7115, 602, 649, 782, 7287, 563, 2026, 596, 31739, 936, 2436, 17761, 802, 616, 25094, 12310, 610, 711, 267, 835, 3364, 568, 2312, 1107, 891, 5017, 540, 10352, 616, 1898, 547, 741, 5117, 563, 5445, 1404, 513, 2629, 1909, 538, 13326, 519, 1426, 5832, 676, 10122, 1507, 11864, 543, 5017, 267, 5329, 741, 5095, 538, 2638, 563, 4913, 267, 519, 7521, 936, 17761, 802, 25094, 27701, 3788, 513, 1543, 1190, 3390, 269, 2755, 930, 2963, 5267, 602, 17761, 802, 798, 25094, 3188, 267, 621, 779, 1898, 547, 1174, 519, 2796, 538, 799, 789, 798, 865, 563, 2005, 12582, 1406, 1033, 847, 689, 741, 3119, 10122, 5759, 267, 6862, 1058, 621, 17538, 602, 789, 616, 8200, 593, 1286, 337, 542, 563, 2005, 779, 2629, 547, 723, 4977, 1344, 827, 891, 15999, 5017, 543, 741, 6208, 547, 5660, 741, 1909, 538, 2470, 4628, 563, 2026, 649, 5490, 4514, 883, 519, 13655, 540, 519, 2067, 1158, 267, 649, 1590, 3314, 602, 1169, 13442, 814, 513, 2189, 1747, 543, 3483, 538, 519, 6264, 10325, 540, 1919, 269, 1656, 17761, 802, 616, 1100, 9868, 269, 0, 289, 5306, 20095, 18112, 3421, 616, 11495, 5017, 609, 7524, 10538, 20034, 720, 543, 513, 10058, 3109, 536, 756, 269, 1452, 5017, 616, 1634, 585, 741, 4190, 8964, 543, 616, 513, 1455, 8289, 538, 1394, 29288, 2066, 3345, 3013, 563, 4407, 789, 616, 5097, 5521, 643, 5387, 267, 22768, 18112, 3421, 723, 1044, 1634, 547, 8532, 513, 3099, 540, 5613, 267, 1519, 24453, 267, 10027, 1845, 267, 543, 18683, 563, 4913, 267, 835, 2243, 602, 1419, 14340, 568, 267, 968, 2710, 22768, 18112, 3421, 3548, 19790, 976, 18313, 1103, 713, 2376, 267, 649, 786, 2263, 519, 8192, 6208, 540, 22768, 18112, 3421, 543, 2626, 2436, 789, 8532, 19790, 976, 563, 2171, 786, 5490, 883, 519, 2188, 602, 1860, 741, 2732, 543, 4983, 741, 7375, 585, 824, 2010, 540, 4829, 563, 12234, 267, 649, 786, 1865, 519, 2956, 540, 513, 7059, 2732, 585, 891, 5017, 543, 1683, 4388, 585, 19788, 873, 547, 707, 18147, 563, 3528, 519, 1439, 540, 713, 2376, 267, 596, 3580, 723, 513, 1732, 1620, 540, 519, 8192, 6208, 540, 22768, 18112, 3421, 543, 875, 596, 666, 1711, 606, 4998, 1604, 547, 4482, 891, 4190, 5017, 547, 707, 13452 ]

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

[ 1141, 621, 729, 524, 17660, 547, 5527, 563, 2691, 1705, 10255, 28117, 11894, 888, 294, 516, 1723, 6874, 24642, 880, 2782, 630, 4489, 280, 1700, 4572, 273, 994, 347, 14630, 1475, 1428, 2904, 476, 4489, 280, 1107, 476, 1556, 5239, 476, 4572, 273, 630, 274, 1296, 267, 476, 275, 3275, 267, 476, 274, 4374, 543, 476, 276, 2395, 10245, 347, 4910, 738, 1475, 307, 24642, 880, 11802, 476, 1556, 5181, 476, 4572, 273, 7169, 538, 10255, 10255, 6874, 584, 4486, 2551, 5385, 15521, 540, 5487, 639, 22828, 2008, 24078, 5259, 851, 540, 519, 16368, 7276, 888, 7197, 540, 10255, 729, 851, 540, 519, 16368, 7276, 689, 519, 2185, 18818, 2540, 2394, 922, 17083, 540, 7115, 538, 476, 9264, 272, 269, 2991, 13830, 31862, 538, 476, 13970, 274, 267, 519, 16368, 5695, 802, 1101, 18084, 883, 2342, 538, 476, 13670, 275, 267, 519, 1376, 540, 519, 16368, 12668, 538, 2342, 563, 24078, 18603, 851, 540, 519, 16368, 7276, 888, 763, 16368, 1974, 585, 18603, 3459, 538, 476, 13970, 279, 609, 519, 2749, 779, 12560, 13567, 267, 1739, 513, 14097, 1063, 519, 12228, 30689, 543, 519, 2063, 5918, 651, 540, 519, 6452, 807, 2723, 328, 267, 543, 8694, 538, 476, 9264, 272, 609, 519, 605, 17474, 540, 5259, 14412, 563, 8005, 4465, 519, 4279, 15349, 2782, 888, 15124, 15349, 2782, 454, 347, 14630, 1475, 1691, 5147, 476, 12739, 274, 1700, 2918, 5130, 476, 15433, 280, 630, 1428, 1296, 267, 476, 277, 3275, 267, 476, 272, 3018, 543, 476, 276, 2395, 10245, 347, 4910, 738, 1475, 13356, 529, 633, 10513, 13477, 11802, 15521, 540, 10127, 869, 6308, 2008, 347, 24404, 761, 3645, 2242, 1475, 288, 755, 6319, 17993, 3338, 538, 21640, 543, 519, 26811, 753, 267, 12996, 17993, 1852, 936, 2694, 540, 12907, 267, 6576, 19306, 10897, 990, 267, 24131, 19306, 519, 2859, 320, 2008, 9989, 11511, 974, 4866, 547, 11894, 888, 307, 24642, 880, 11356, 1924, 345, 30501, 3370, 606, 2376, 19101, 602, 1152, 513, 1507, 851, 540, 519, 6532, 540, 11511, 974, 12851, 547, 10255, 267, 1247, 519, 1964, 1869, 12851, 547, 519, 16368, 7276, 602, 910, 16694, 268, 25540, 538, 476, 4572, 271, 267, 543, 4061, 547, 519, 14081, 540, 2413, 11894, 269, 6693, 24078, 519, 16368, 7276, 513, 2244, 1759, 610, 4262, 1759, 10504, 888, 763, 7332, 5927, 2231, 269, 634, 16368, 267, 6380, 14865, 267, 543, 28753, 531, 5927, 2231, 941, 782, 2757, 2244, 2861, 7060, 267, 4352, 519, 12228, 30689, 13856, 519, 11335, 7256, 585, 513, 942, 609, 741, 2178, 26010, 269, 634, 6380, 14865, 543, 28753, 531, 5927, 2231, 1185, 2178, 20679, 267, 855, 1100, 562, 822, 625, 547, 3717, 540, 543, 1312, 1185, 24654, 3854, 4872, 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 ]

[ 543, 27159, 3194, 630, 4047, 3036, 264, 585, 5675, 28968, 1848, 634, 1576, 2488, 606, 7650, 540, 16777, 3036, 543, 513, 1413, 693, 1483, 8996, 2963, 630, 305, 25446, 264, 543, 3461, 3146, 19959, 4093, 630, 24165, 1070, 1079, 1883, 3334, 540, 16777, 3036, 2090, 563, 2005, 849, 6227, 2010, 540, 16777, 3036, 1543, 971, 607, 9142, 540, 2494, 3042, 5516, 14997, 2329, 630, 4456, 9573, 264, 543, 2518, 1871, 546, 1601, 4536, 267, 3332, 8039, 267, 2804, 3631, 267, 22251, 267, 543, 2689, 4930, 563, 29310, 267, 649, 666, 2263, 519, 4241, 1158, 540, 16777, 3036, 267, 799, 6818, 693, 519, 10167, 540, 1072, 1416, 3609, 543, 2259, 563, 2171, 9684, 6970, 527, 4802, 681, 1278, 17745, 267, 10790, 267, 12463, 295, 267, 945, 8329, 1200, 6791, 547, 713, 5816, 269, 0, 3080, 540, 519, 9510, 10665, 538, 519, 1158, 267, 519, 4644, 540, 519, 13677, 645, 7451, 538, 519, 1686, 540, 6628, 3112, 581, 16053, 269, 1744, 9464, 676, 922, 1686, 267, 2528, 543, 11585, 267, 519, 8473, 4133, 723, 1044, 519, 1641, 540, 1353, 585, 5553, 269, 15012, 803, 607, 594, 2263, 519, 645, 7451, 543, 922, 12902, 15113, 267, 23090, 8933, 543, 3638, 1686, 563, 763, 645, 7451, 267, 607, 519, 2012, 5267, 568, 606, 1858, 602, 6013, 1063, 10430, 543, 4789, 267, 513, 3148, 10077, 1042, 676, 4655, 543, 8082, 540, 5176, 513, 8536, 1296, 1813, 547, 922, 7580, 2990, 269, 4595, 922, 10661, 538, 519, 3735, 476, 1724, 628, 2540, 267, 519, 27079, 814, 14754, 3875, 804, 10449, 1063, 519, 1079, 6082, 563, 2690, 5176, 1079, 4627, 1296, 267, 519, 3338, 1063, 10430, 543, 4789, 941, 20948, 676, 519, 27079, 1234, 1392, 267, 513, 1895, 540, 25337, 986, 11107, 945, 3262, 9810, 2429, 519, 1858, 269, 4256, 3310, 6603, 922, 1990, 523, 603, 538, 519, 476, 1626, 628, 2540, 269, 634, 1234, 1392, 941, 29200, 585, 741, 15141, 1190, 21274, 267, 7115, 267, 543, 26772, 7029, 547, 741, 9757, 14964, 2516, 267, 610, 804, 753, 607, 789, 1131, 581, 1572, 2221, 563, 763, 27079, 1234, 1392, 3357, 547, 581, 607, 513, 1267, 540, 519, 31341, 6681, 5736, 789, 11478, 538, 269, 634, 476, 1626, 628, 2540, 6719, 513, 942, 540, 1713, 2797, 543, 1514, 4720, 538, 6628, 267, 543, 519, 13677, 645, 7451, 729, 1100, 9868, 547, 713, 269, 634, 3148, 729, 25626, 909, 538, 519, 2797, 9620, 1063, 519, 13677, 543, 2296, 16313, 625, 267, 799, 4749, 838, 2830, 936, 883, 7404, 1236, 3305, 8460, 269, 634, 27079, 1234, 1392, 3357, 827, 538, 3210, 547, 713, 16132, 267, 607, 789, 6322, 547, 16102, 741, 8513, 543, 6068, 3283, 689, 32415, 4108, 4229, 543, 10546, 804, 753, 563, 12892, 12206, 723, 1279, 1044, 19832, 676, 519, 27079, 1234, 1392, 267, 607, 789, 2709, 513, 19214, 883, 519, 1514, 543, 2686, 6384, 540, 519, 3148, 269, 634, 27079, 1234, 1392, 941, 513, 2189, 1895, 267, 609, 741, 1378, 9821, 267, 4031, 267, 543, 1259, 540, 1272, 269, 1358, 941, 513, 1463, 1267, 540, 741, 10450, 267, 22285, 539, 676, 519, 27726, 27177, 540, 519, 13677, 645, 7451, 543, 519, 10419, 783, 13720, 725, 602, 3989, 519, 1327, 1275, 563, 289, 4650, 10034, 543, 741, 10450, 2709, 606, 11606, 540, 15805, 18845, 543, 2238, 267, 19788, 8436, 689, 782, 936, 519, 1158, 269, 10289, 519, 1858, 779, 3638, 1686, 543, 6189, 568, 513, 1590, 585, 1686, 10889, 338, 267, 1247, 519, 28677, 8473, 24781, 543, 10875, 10651, 616, 513, 10093, 585, 2470, 18798, 563, 763, 13677, 645, 7451, 616, 849, 12021, 585, 741, 9205, 2238, 267, 1519, 10068, 267, 15203, 267, 543, 19482, 267, 1818, 621, 513, 3501, 10278, 585, 7045, 32339, 563, 14454, 267, 5211, 570, 15634, 543, 519, 3844, 10665, 2127, 621, 8928, 998, 616, 513, 14951, 7708, 557, 540, 1686, 267, 2528, 267, 543, 2067, 5898, 267, 5356, 8436, 606, 20605, 1995, 563, 306, 597, 19124, 8845, 543, 519, 27079, 11831, 6758, 454, 763, 13677, 645, 7451, 19646, 513, 5763, 540, 9423, 543, 3440, 611, 787, 267, 602, 2488, 513, 2189, 6885, 883, 519, 3148, 779, 2250, 543, 9821, 563, 763, 27079, 11831, 6758, 267, 513, 28094, 540, 2757, 13677, 12563, 23964, 267, 616, 6169, 540, 519, 1279, 18835, 1764, 540, 519, 27079, 1234, 1392, 543, 741, 2081, 269, 1452, 3440, 6758, 12667, 569, 2995, 2984, 540, 15832, 267, 14336, 4800, 267, 543, 26760, 267, 9306, 513, 9159, 8343, 540, 519, 1514, 543, 2686, 25029, 540, 519, 1327, 1275, 563, 4002, 713, 3896, 267, 594, 3580, 2263, 519, 1568, 540, 19124, 8845, 267, 6276, 670, 17344, 267, 681, 13741, 773, 31293, 543, 1866, 945, 8179, 547, 8190, 519, 3638, 13795, 540, 519, 645, 7451, 267, 8497, 873, 585, 2104, 5481, 269, 6250, 6002, 547, 519, 3148, 2221, 666, 2263, 713, 2686, 6561, 676, 9683, 15882, 267, 26847, 267, 543, 8978, 4609, 267, 607, 1134, 607, 676, 11981, 519, 2067, 5898, 540, 519, 645, 7451, 5251, 602, 6273, 891, 19216, 563, 19322, 664, 543, 10430, 616, 9674, 676, 476, 9834, 5195, 540, 2571, 8473, 602, 11498, 1063, 519, 674, 9500, 540, 3752, 3118, 543, 21244, 28927, 3298, 7345, 538, 519, 7178, 269, 3345, 3784, 1633, 543, 1715, 31069, 543, 595, 3518, 6319, 616, 519, 7013, 2865, 17521, 540, 519, 2197, 563, 30262, 21077, 585, 922, 3638, 1686, 267, 10875, 2067, 8916, 543, 5863, 18845, 267, 519, 13677, 645, 7451, 814, 1044, 20948, 2094, 3504, 2053, 267, 609, 2963, 540, 22300, 17260, 267, 4936, 585, 1206, 267, 543, 10120, 28151, 563, 763, 13677, 645, 7451, 3148, 568, 849, 1634, 585, 922, 1909, 538, 5935, 13677, 1686, 269, 898, 729, 519, 3135, 540, 1896, 8978, 12959, 267, 1519, 519, 11135, 540, 4469, 617, 6577, 267, 799, 4718, 519, 2669, 540, 3751, 6276, 10001, 540, 10430, 538, 476, 14681, 274, 269, 634, 3148, 814, 849, 1044, 519, 1445, 540, 1082, 7526, 1063, 10430, 543, 4789, 936, 519, 5553, 1519, 519, 27079, 1234, 1392, 543, 17018, 560, 549, 641, 619, 2336, 307, 712, 1235, 3643, 519, 13677, 645, 7451, 547, 2263, 519, 21219, 540, 1896, 3504, 28151, 267, 1519, 519, 15999, 4469, 14995, 16836, 267, 519, 4102, 20948, 14500, 538, 10430, 563, 763, 3148, 568, 1634, 585, 922, 19135, 2872, 267, 3226, 15144, 543, 6666, 332, 699, 269, 6250, 6002, 666, 2263, 519, 19135, 14200, 543, 15327, 538, 10034, 899, 8316, 1157, 267, 1141, 789, 666, 1451, 827, 519, 2504, 1184, 543, 6718, 12725, 1500, 2472, 563, 763, 8473, 3148, 540, 10430, 568, 1753, 547, 3875, 23406, 10034, 602, 616, 540, 1713, 3140, 543, 2686, 2956, 269, 7324, 519, 1034, 4583, 540, 891, 616, 623, 2465, 7632, 267, 8895, 1662, 1408, 338, 267, 9253, 13427, 267, 22398, 810, 267, 12019, 6894, 267, 543, 7137, 19213, 5346, 517, 6874, 15634, 563, 303, 2465, 7632, 568, 513, 28677, 4884, 602, 6013, 593, 519, 8492, 540, 519, 5211, 570, 15634, 543, 568, 12021, 585, 922, 10875, 24781, 267, 1519, 519, 570, 15634, 23014, 11206, 5244, 269, 634, 4884, 568, 1753, 547, 1585, 3140, 21056, 267, 971, 607, 519, 3026, 573, 12949, 16836, 543, 16959, 15734, 30745, 799, 7389, 1394, 547, 519, 476, 1691, 628, 2540, 563, 29727, 1662, 1408, 338, 568, 1776, 4884, 609, 513, 3638, 1686, 267, 3226, 538, 519, 19135, 2872, 269, 634, 4884, 568, 1753, 547, 519, 4173, 686, 582, 654, 3430, 2160, 779, 3427, 540, 7956, 3796, 543, 5071, 543, 519, 13677, 645, 7451, 28941, 540, 645, 7451, 5441, 563, 27839, 13427, 568, 513, 8978, 4884, 609, 513, 1713, 19506, 538, 519, 1106, 540, 9253, 13427, 30745, 267, 799, 568, 5156, 547, 2270, 519, 2295, 540, 7917, 519, 23745, 269, 6250, 6002, 666, 849, 2972, 513, 588, 2651, 998, 519, 4190, 13405, 6229, 543, 24442, 25052, 563, 298, 601, 810, 568, 606, 6694, 4884, 609, 519, 16011, 8065, 540, 519, 476, 1240, 628, 2540, 7555, 7381, 538, 519, 4884, 4009, 269, 1703, 616, 1896, 8978, 21056, 547, 2263, 538, 22398, 810, 267, 1519, 22398, 810, 30745, 543, 4469, 14995, 16836, 563, 290, 1245, 6894, 568, 513, 1507, 4884, 4092, 593, 519, 5211, 570, 15634, 543, 568, 4583, 585, 922, 8473, 1686, 267, 1519, 519, 12019, 6894, 2871, 1841, 3204, 14939, 7467, 563, 29155, 19213, 5346, 517, 6874, 15634, 568, 513, 9381, 4884, 602, 19646, 540, 513, 1279, 1686, 540, 4655, 1063, 10430, 543, 4789, 269, 634, 4884, 814, 1896, 8978, 21056, 267, 971, 607, 519, 7137, 19213, 16836, 21219, 543, 10906, 534, 654, 8712, 563, 3080, 540, 519, 1034, 28677, 543, 2442, 8473, 10034, 538, 519, 13677, 645, 7451, 568, 9253, 13427, 267, 4092, 593, 519, 8492, 540, 519, 5211, 570, 15634, 269, 898, 568, 1753, 547, 519, 11141, 21219, 540, 9253, 13427, 30745, 267, 1141, 519, 2295, 540, 7917, 519, 23745, 568, 1767, 547, 581, 12617, 269, 634, 8473, 4884, 849, 19646, 4190, 10651, 267, 971, 607, 13405, 6229, 543, 24442, 25052, 267, 799, 616, 3501, 585, 513, 21363, 588, 2651, 563, 12234, 267, 519, 8473, 4884, 814, 1896, 5140, 14060, 267, 22538, 525, 267, 543, 4830, 15945, 267, 1818, 621, 513, 7524, 543, 22205, 10278, 269, 4746, 2263, 519, 824, 645, 7451, 4884, 971, 607, 22398, 810, 267, 623, 2465, 7632, 267, 543, 808, 539, 15734, 616, 849, 29810, 585, 741, 3140, 21056, 267, 2067, 5898, 267, 543, 7874, 17137, 269, 1306, 649, 3895, 593, 519, 3896, 267, 798, 2263, 543, 2972, 519, 8748, 8978, 543, 29271, 8473, 10034, 540, 10430, 1107, 855, 649, 9090, 4465, 1406, 2161, 835, 568, 1732, 982, 519, 824, 256, 0, 1320, 8557, 14189, 5728, 525, 513, 9449, 1572, 18287, 527, 13908, 267, 799, 24506, 519, 2179, 540, 7513, 538, 1973, 563, 14738, 593, 256, 12315, 519, 645, 2793, 307, 981, 547, 1205, 513, 476, 1911, 260, 14172, 585, 15760, 297, 4785, 6030, 454, 5591, 19048, 256, 1284, 8072, 557, 3893, 707, 1394, 269, 8347, 15760, 297, 308, 8072, 306, 1863, 5049, 2221, 2336, 15411, 538, 2561, 454, 763, 2953, 4781, 568, 645, 6936, 1879, 519, 1377, 540, 7513, 538, 1973, 4679, 267, 11178, 14189, 5728, 525, 513, 9449, 3957, 18287, 527, 13908, 269, 898, 24506, 519, 1377, 540, 7513, 538, 1973, 269, 769, 713, 1259, 267, 519, 11178, 14189, 2337, 538, 4509, 519, 1377, 540, 7513, 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 ]

[ 4316, 547, 2253, 10962, 519, 2029, 543, 4879, 8441, 2038, 538, 519, 3014, 269, 3958, 267, 7855, 543, 1053, 666, 3136, 547, 946, 891, 2645, 547, 8141, 513, 6643, 827, 1141, 789, 8910, 899, 547, 1294, 519, 10526, 979, 538, 519, 2104, 563, 273, 269, 5457, 1946, 649, 2361, 1449, 10526, 269, 4014, 519, 1079, 931, 677, 807, 4797, 547, 7618, 519, 5171, 602, 1142, 2361, 1449, 729, 2731, 513, 1449, 540, 519, 1449, 543, 711, 540, 519, 1053, 267, 602, 5048, 729, 1419, 4503, 538, 519, 7391, 1472, 4797, 7245, 540, 1699, 1533, 10526, 267, 6214, 267, 543, 824, 3905, 3584, 269, 30451, 689, 2066, 519, 24315, 6717, 2829, 31539, 12590, 547, 1715, 6792, 1765, 4944, 550, 5215, 540, 3108, 17265, 267, 2847, 2358, 267, 543, 3181, 908, 811, 982, 476, 1015, 267, 1822, 3688, 602, 1500, 621, 5196, 519, 2361, 1449, 269, 4256, 19929, 543, 9840, 10704, 593, 9186, 543, 8417, 267, 12972, 547, 519, 4441, 267, 543, 10333, 269, 2060, 713, 6909, 2179, 540, 6791, 3297, 519, 1646, 540, 519, 24315, 6717, 10526, 267, 649, 1590, 3314, 602, 513, 2361, 1449, 568, 827, 10992, 938, 10054, 602, 649, 968, 326, 582, 621, 1318, 892, 547, 2327, 519, 476, 1001, 275, 1700, 1428, 1153, 1032, 5066, 13050, 786, 581, 607, 5347, 607, 2009, 543, 602, 7855, 267, 1053, 267, 543, 741, 3885, 786, 1265, 519, 1344, 6383, 676, 519, 10526, 5963, 3730, 269, 634, 2361, 1449, 814, 849, 3177, 606, 4316, 547, 5531, 2239, 5955, 689, 1053, 543, 1449, 16984, 593, 1018, 789, 17329, 267, 1018, 789, 4769, 1406, 899, 267, 543, 1018, 2877, 547, 1689, 563, 274, 269, 7427, 519, 5188, 547, 2327, 2042, 616, 6378, 3533, 269, 12344, 835, 540, 519, 1034, 4241, 2694, 540, 519, 2361, 1449, 729, 519, 2702, 547, 1246, 19829, 543, 2875, 7391, 2066, 519, 24315, 6717, 2829, 607, 789, 3576, 519, 2773, 2861, 10526, 689, 3735, 4728, 998, 2038, 4989, 543, 1282, 519, 2487, 1439, 6361, 4458, 4879, 6885, 689, 2038, 2904, 998, 2038, 4873, 269, 30451, 723, 1044, 11212, 12001, 609, 543, 17841, 547, 835, 1776, 267, 2523, 593, 1514, 2923, 1765, 3333, 2130, 1007, 1344, 267, 2656, 4368, 525, 267, 543, 4030, 607, 519, 2361, 1449, 27636, 269, 2060, 713, 1344, 267, 3401, 538, 519, 24315, 6717, 2829, 941, 2111, 547, 22942, 1141, 543, 875, 1419, 2152, 1522, 581, 9648, 538, 13102, 543, 3506, 269, 901, 1344, 4847, 519, 2829, 547, 3136, 547, 2087, 519, 1995, 540, 1312, 2875, 2361, 1449, 512, 5474, 543, 1346, 28720, 519, 4255, 269, 1306, 519, 1948, 303, 2752, 6717, 7615, 11687, 814, 6255, 698, 7153, 593, 12108, 267, 1250, 9164, 543, 594, 941, 2111, 547, 4137, 856, 875, 547, 4431, 547, 13668, 24847, 269, 1284, 849, 4121, 875, 968, 517, 519, 2666, 892, 6388, 729, 5963, 2921, 3337, 269, 26361, 782, 267, 519, 4967, 540, 19015, 547, 543, 689, 7855, 2066, 519, 24315, 6717, 2829, 941, 11121, 267, 13830, 519, 3020, 6891, 540, 5698, 563, 4322, 616, 1152, 513, 1906, 540, 519, 4245, 24315, 6717, 2829, 4121, 1282, 519, 2361, 1449, 267, 855, 972, 786, 581, 1082, 811, 547, 2097, 269, 1306, 519, 2407, 5614, 2361, 1449, 2501, 547, 513, 2673, 267, 649, 3580, 3136, 547, 6895, 3356, 267, 1491, 5955, 267, 543, 6451, 602, 5955, 883, 519, 9283, 649, 1118, 585, 1985, 1032, 779, 2407, 1449, 269, 769, 1931, 547, 2327, 602, 1346, 9283, 4755, 267, 649, 786, 7048, 593, 1346, 540, 596, 538, 519, 2361, 547, 3136, 519, 1930, 543, 9237, 5188, 607, 649, 1847, 883, 2407, 6388, 1282, 519, 476, 1001, 275, 1700, 1428, 1153, 1032, 269, 15012, 519, 6643, 593, 12108, 676, 10478, 585, 1948, 2532, 303, 2752, 6717, 610, 676, 1739, 7711, 303, 2752, 6717, 20278, 269, 1677, 4309, 2834, 10311, 267, 596, 666, 1129, 909, 585, 519, 24315, 6717, 5455, 30098, 20394, 547, 1265, 856, 1018, 779, 8345, 11652, 1018, 779, 547, 2097, 1765, 659, 1484, 519, 2829, 538, 2474, 540, 3078, 3609, 543, 2259, 2984, 563, 10214, 952, 596, 14201, 1406, 513, 851, 540, 519, 24315, 6717, 2361, 1449, 1995, 267, 596, 666, 1294, 1018, 2306, 519, 1449, 1114, 676, 2921, 519, 24315, 6717, 2259, 4255, 2228, 693, 5291, 2517, 4178, 269, 1706, 764, 26020, 3820, 9706, 15462, 2389, 3949, 269, 0, 10111, 321, 728, 2789, 8760, 454, 24246, 29743, 18585, 1570, 547, 581, 3617, 585, 519, 27147, 538, 13076, 609, 29743, 960, 454, 272, 267, 654, 290, 15801, 630, 339, 32500, 16590, 264, 23212, 912, 5804, 512, 32500, 29743, 543, 524, 28240, 269, 6884, 519, 5969, 1907, 630, 27271, 849, 5373, 5884, 264, 538, 824, 29743, 3773, 454, 273, 260, 610, 1447, 630, 339, 656, 531, 636, 29743, 267, 562, 328, 984, 1756, 29743, 267, 8709, 18123, 29743, 267, 3092, 4700, 607, 606, 19605, 563, 11947, 524, 28240, 281, 476, 736, 268, 1789, 260, 524, 28240, 281, 476, 1015, 268, 1428, 260, 2539, 524, 28240, 281, 476, 274, 268, 279, 14999, 273, 267, 654, 290, 6874, 328, 290, 15801, 630, 339, 32500, 267, 4401, 267, 524, 28240, 264, 23212, 454, 20181, 21419, 1756, 281, 476, 275, 268, 277, 260, 23621, 290, 267, 476, 280, 268, 1428, 260, 3213, 2676, 1103, 24489, 18585, 281, 476, 1015, 268, 736, 260, 23621, 290, 267, 476, 277, 268, 279, 260, 3213, 2676, 11947, 21419, 1756, 281, 476, 1839, 268, 2412, 260, 23621, 290, 267, 476, 275, 268, 277, 260, 3213, 454, 274, 267, 654, 290, 6874, 328, 290, 6874, 320, 290, 630, 301, 321, 290, 264, 910, 10870, 23212, 454, 310, 290, 6874, 328, 290, 15801, 23212, 723, 1732, 16617, 4187, 267, 855, 849, 814, 1434, 8143, 8710, 4187, 13779, 267, 799, 454, 21865, 723, 513, 2362, 1907, 1272, 563, 307, 328, 290, 281, 476, 276, 513, 476, 1428, 9077, 19248, 290, 630, 301, 321, 290, 2567, 476, 273, 268, 1015, 9077, 3213, 276, 268, 1428, 9077, 519, 14230, 540, 654, 290, 563, 275, 267, 5374, 27433, 29743, 454, 5804, 512, 32500, 29743, 610, 24489, 29743, 543, 3327, 5374, 610, 18585, 5888, 454, 276, 267, 24489, 29743, 2861, 23212, 454, 27793, 5223, 540, 24489, 267, 19695, 543, 544, 8432, 321, 6577, 636, 4496, 610, 29743, 1079, 544, 8432, 321, 6577, 636, 630, 27770, 273, 290, 264, 3334, 269, 634, 2698, 454, 20880, 540, 19695, 543, 544, 8432, 321, 6577, 636, 568, 3335, 476, 736, 268, 1789, 10065, 417, 357, 479, 16533, 376, 13161, 363, 18713, 377, 30522, 483, 417, 357, 365, 18263, 494, 419, 377, 495, 419, 360, 503 ]

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