Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 3152, 6571, 543, 2799, 4859, 4390, 269, 23861, 7028, 1079, 454, 268, 23861, 11473, 630, 1721, 1753, 7260, 9913, 994, 268, 23861, 681, 6865, 630, 5793, 5562, 3756, 267, 3381, 3758, 4859, 267, 26278, 4859, 994, 268, 23861, 20433, 630, 13440, 867, 1239, 994, 268, 23861, 681, 630, 13434, 27522, 994, 268, 18671, 18422, 1167, 1107, 568, 519, 2012, 540, 519, 1985, 5108, 9804, 1167, 3898, 269, 901, 3898, 729, 2919, 547, 5512, 10916, 267, 556, 8586, 543, 1404, 3724, 540, 18074, 3381, 267, 607, 1134, 607, 13936, 1804, 5666, 540, 1239, 269, 634, 3898, 3091, 811, 982, 476, 276, 2053, 519, 4859, 4390, 540, 2757, 23861, 338, 543, 666, 3180, 909, 547, 476, 1839, 717, 321, 593, 513, 2582, 4494, 1167, 543, 476, 2004, 717, 321, 593, 513, 12242, 4494, 1167, 269, 901, 1167, 3096, 4544, 642, 14489, 8955, 3079, 540, 2699, 543, 8754, 519, 2012, 18671, 18422, 563, 268, 18074, 23861, 1107, 713, 3044, 729, 24973, 2919, 676, 570, 657, 3031, 320, 1299, 715, 4488, 543, 6462, 676, 9786, 269, 18074, 23861, 814, 513, 2582, 4494, 4390, 540, 476, 1428, 717, 321, 543, 12242, 4494, 4390, 540, 476, 1789, 717, 321, 269, 27519, 540, 18074, 5937, 13748, 20433, 2582, 6106, 568, 476, 736, 717, 321, 543, 12242, 4494, 568, 476, 2412, 454, 268, 18292, 18044, 5397, 1107, 568, 513, 3335, 1507, 267, 17426, 267, 5110, 762, 543, 556, 16261, 762, 8755, 3965, 1239, 4859, 3926, 7471, 609, 513, 18292, 8818, 269, 4256, 4390, 9775, 689, 7366, 540, 25253, 547, 9937, 540, 454, 268, 15350, 3556, 1107, 15350, 6486, 616, 3335, 1031, 593, 5985, 3457, 269, 1358, 616, 25182, 267, 4130, 543, 14402, 982, 18292, 18044, 11479, 269, 5871, 2010, 540, 3965, 6486, 616, 2016, 2630, 563, 16256, 1107, 24344, 3059, 568, 513, 1875, 268, 19979, 3965, 3556, 454, 5960, 1107, 15350, 6529, 568, 513, 5110, 762, 8755, 3965, 3556, 3898, 454, 268, 570, 1901, 11479, 1107, 1224, 543, 2328, 1239, 593, 513, 6419, 11746, 543, 616, 1031, 585, 1279, 2165, 4859, 543, 1394, 5725, 563, 275, 269, 277, 19766, 308, 16249, 24315, 4696, 5456, 5960, 454, 268, 23155, 17270, 454, 268, 23155, 7384, 568, 513, 1106, 540, 19106, 538, 799, 1082, 9273, 616, 5645, 856, 8195, 1759, 593, 519, 6240, 602, 1804, 2042, 666, 1419, 581, 5258, 883, 4130, 3283, 267, 799, 616, 1287, 12193, 21276, 569, 269, 634, 1585, 2010, 540, 6252, 7384, 616, 454, 268, 9779, 1377, 454, 268, 19019, 1377, 454, 268, 4578, 1377, 454, 268, 17130, 1377, 454, 275, 269, 277, 269, 273, 25373, 7384, 454, 268, 25373, 5904, 610, 12985, 21870, 5512, 519, 5542, 267, 4687, 543, 30843, 540, 513, 2647, 3099, 540, 32321, 7856, 12985, 2200, 971, 607, 2706, 5904, 267, 2347, 13421, 267, 4859, 1949, 267, 1239, 2959, 267, 7405, 1299, 1004, 543, 1459, 873, 607, 513, 2582, 19618, 4199, 585, 6061, 1804, 4336, 2780, 543, 1239, 14021, 3156, 269, 661, 3052, 269, 7636, 20592, 585, 3075, 1374, 267, 2634, 2534, 2079, 543, 1164, 1648, 6323, 563, 268, 19200, 9590, 298, 568, 519, 1158, 779, 4102, 7470, 1788, 1031, 538, 595, 30204, 799, 568, 1373, 1031, 585, 476, 273, 1296, 585, 519, 4393, 540, 1239, 689, 14066, 1185, 1258, 7502, 3187, 7175, 12707, 1027, 1836, 3728, 6765, 540, 3621, 454, 268, 717, 2752, 308, 6395, 568, 3127, 779, 25373, 7384, 11036, 8220, 476, 1704, 4872, 2066, 519, 2197, 267, 799, 2882, 782, 519, 594, 3951, 338, 543, 7131, 3722, 18013, 563, 275, 269, 277, 269, 274, 17747, 17270, 454, 23797, 636, 2780, 568, 513, 19106, 3926, 602, 2306, 1463, 946, 540, 7061, 7344, 7613, 971, 607, 2706, 6570, 543, 1303, 836, 2211, 547, 1685, 4238, 593, 1239, 269, 17747, 5904, 946, 844, 23605, 547, 1685, 1950, 26398, 799, 568, 519, 7061, 12746, 540, 3059, 3787, 563, 275, 269, 277, 269, 275, 13192, 7384, 454, 268, 13192, 7384, 568, 513, 3102, 3070, 602, 20205, 8668, 607, 513, 454, 268, 24486, 607, 513, 3028, 630, 296, 30962, 994, 268, 25957, 607, 513, 3028, 630, 303, 30962, 994, 268, 12229, 607, 513, 3028, 630, 306, 30962, 994, 268, 8232, 607, 513, 3028, 630, 306, 4488, 30962, 994, 268, 19554, 607, 513, 3028, 630, 4306, 30962, 994, 268, 4578, 607, 513, 3028, 630, 291, 30962, 994, 268, 4530, 1604, 607, 513, 3028, 630, 15288, 30962, 994, 268, 30325, 9008, 607, 513, 3028, 630, 291, 30962, 994, 268, 16286, 607, 513, 3028, 630, 25721, 807, 607, 994, 268, 25841, 1942, 454, 268, 25841, 946, 540, 10986, 454, 268, 7605, 755, 25382, 454, 268, 13722, 5989, 3790, 454, 268, 11485, 5786, 454, 268, 25265, 7419, 2975, 25972, 667, 8025, 1107, 6034, 547, 5851, 7641, 454, 268, 667, 8025, 666, 3914, 6552, 610, 6917, 2127, 269, 898, 3091, 3059, 2298, 6786, 799, 798, 711, 31358, 519, 4605, 610, 3280, 2298, 269, 898, 849, 3091, 7317, 9055, 543, 1982, 10274, 609, 5561, 2348, 519, 3903, 547, 3625, 856, 5752, 799, 789, 2015, 454, 268, 634, 3028, 7426, 538, 3127, 616, 3141, 667, 8025, 267, 570, 1092, 6607, 267, 667, 880, 7641, 267, 24211, 301, 299, 7379, 29552, 267, 589, 677, 531, 667, 8025, 267, 966, 728, 27019, 667, 8025, 269, 7379, 29552, 1107, 568, 513, 1483, 268, 942, 31076, 1062, 585, 12419, 7641, 3292, 547, 10820, 998, 513, 29577, 4276, 1210, 7379, 338, 610, 1949, 269, 7379, 29552, 3091, 17784, 1404, 454, 268, 11473, 593, 3747, 630, 309, 7495, 994, 268, 5680, 1569, 454, 25542, 7658, 21620, 4016, 547, 2792, 2533, 1107, 5639, 267, 535, 1314, 267, 590, 5960, 5639, 20261, 3156, 602, 616, 16487, 3842, 4950, 2864, 982, 623, 4306, 301, 630, 14276, 23564, 15146, 3060, 1916, 268, 27215, 7709, 1107, 4016, 547, 2792, 10873, 267, 4066, 267, 16097, 543, 6771, 2553, 3238, 538, 519, 6765, 540, 5639, 10618, 543, 19180, 7886, 936, 7379, 5121, 971, 607, 454, 275, 269, 279, 654, 296, 24359, 8577, 570, 20168, 12471, 22494, 454, 268, 29402, 568, 513, 28106, 1930, 12616, 2029, 3044, 585, 27300, 1239, 936, 2110, 9883, 630, 6748, 2110, 268, 15423, 5925, 18993, 3827, 538, 519, 4959, 300, 6512, 689, 476, 13301, 271, 1700, 476, 27886, 271, 631, 13703, 264, 689, 6378, 543, 454, 332, 9394, 3457, 267, 2870, 2123, 1858, 5121, 630, 303, 3198, 338, 264, 609, 1164, 2157, 540, 3354, 269, 898, 568, 513, 12616, 2123, 1858, 3060, 563, 268, 29402, 3096, 513, 5925, 2029, 1572, 4908, 3620, 25891, 3262, 8552, 538, 519, 2039, 540, 11633, 267, 11660, 543, 6481, 630, 26113, 264, 476, 273, 269, 275, 717, 13703, 2110, 24365, 5925, 4908, 6512, 563, 268, 29402, 2488, 513, 5150, 1259, 547, 1921, 543, 5385, 1344, 1063, 3457, 971, 607, 535, 31320, 267, 5985, 11436, 267, 7658, 10746, 267, 24195, 267, 2123, 5904, 267, 23252, 267, 6820, 19024, 532, 3590, 630, 294, 4916, 264, 2256, 1392, 267, 3059, 12514, 267, 543, 3381, 3014, 931, 3421, 563, 268, 15261, 19712, 610, 12616, 535, 23474, 568, 513, 2029, 602, 2636, 606, 5907, 3926, 547, 5385, 1239, 5911, 8393, 1210, 5925, 6329, 936, 513, 2780, 3060, 1519, 1164, 3432, 4950, 4296, 563, 268, 11581, 12283, 1107, 24046, 1239, 2557, 585, 717, 15551, 12472, 610, 8476, 717, 11266, 306, 568, 513, 3059, 5985, 6049, 2029, 602, 2636, 4824, 6771, 3928, 607, 513, 18807, 10137, 540, 717, 15551, 269, 4675, 2176, 1239, 4483, 11250, 909, 547, 476, 29575, 737, 321, 1186, 269, 898, 568, 849, 1634, 607, 476, 273, 269, 4037, 294, 454, 268, 772, 300, 4811, 1107, 17629, 16353, 17791, 1062, 568, 513, 476, 274, 6113, 5108, 29577, 267, 17142, 1759, 6771, 540, 1257, 267, 7857, 1242, 5639, 267, 3381, 543, 19180, 609, 1239, 3928, 909, 547, 476, 273, 300, 321, 1186, 1759, 593, 519, 717, 15551, 454, 268, 15101, 5183, 1107, 4400, 17726, 13268, 564, 7457, 568, 606, 31498, 14212, 540, 476, 273, 5985, 7658, 21620, 10873, 15101, 13560, 15062, 13268, 564, 7457, 543, 15101, 772, 680, 1074, 17142, 7457, 602, 11498, 543, 10607, 519, 2773, 540, 4540, 476, 274, 6113, 14749, 5985, 7658, 23890, 5121, 9001, 654, 7374, 7246, 454, 268, 12601, 23077, 1107, 12472, 1239, 1152, 610, 1239, 20979, 568, 835, 540, 519, 1896, 2101, 476, 274, 294, 12616, 1239, 4441, 269, 16353, 3457, 602, 946, 12601, 23077, 2029, 666, 14202, 543, 4647, 3533, 543, 519, 2029, 568, 2141, 593, 8164, 972, 568, 513, 5365, 689, 519, 12616, 13486, 269, 9521, 513, 15261, 19712, 4276, 267, 513, 3926, 609, 12601, 23077, 1281, 711, 991, 547, 581, 2282, 513, 12616, 3905, 5544, 282, 3079, 519, 1591, 7483, 666, 3294, 1831, 513, 28326, 13607, 543, 2671, 922, 4950, 4276, 609, 824, 3457, 269, 22039, 6512, 476, 14596, 631, 13703, 454, 268, 7043, 12910, 12472, 1107, 7043, 2165, 4720, 568, 513, 5985, 3060, 476, 274, 294, 2029, 602, 568, 1373, 18611, 676, 5985, 4238, 593, 1312, 717, 15551, 543, 7131, 7246, 2029, 10092, 269, 700, 15288, 5121, 666, 5838, 3728, 3432, 909, 547, 476, 1911, 25253, 1186, 538, 519, 1524, 15062, 543, 476, 2004, 25253, 1186, 538, 519, 454, 268, 700, 15288, 11628, 1107, 476, 275, 294, 2029, 269, 24046, 1239, 2557, 540, 476, 272, 717, 321, 1186, 1210, 2362, 1931, 631, 8379, 302, 563, 310, 328, 16655, 1107, 2622, 4204, 3955, 6016, 1464, 585, 12130, 992, 1511, 7457, 15030, 328, 16655, 2488, 454, 268, 5800, 762, 543, 1164, 3432, 540, 29577, 3028, 454, 268, 29942, 1107, 865, 1447, 7199, 982, 10814, 610, 667, 20784, 543, 1454, 4443, 547, 8831, 547, 28180, 543, 6917, 2127, 563, 268, 16340, 3795, 899, 1591, 6049, 3060, 3079, 540, 1507, 15261, 19712, 28326, 26105, 563, 268, 30216, 1239, 267, 7658, 1260, 630, 309, 334, 7709, 1070, 7379, 29552, 2533, 630, 28256, 921, 1404, 994, 268, 4578, 3432, 909, 547, 476, 274, 268, 2412, 25253, 1186, 543, 909, 547, 476, 272, 294, 321, 1186, 585, 6378, 454, 275, 269, 280, 667, 5456, 3951, 3201, 12164, 23615, 294, 9970, 454, 268, 20593, 10885, 568, 513, 1476, 26475, 540, 5904, 267, 15146, 543, 7641, 883, 513, 2582, 1062, 547, 1683, 6176, 267, 9442, 543, 30007, 630, 21201, 1040, 6270, 513, 6880, 1476, 26475, 568, 4397, 547, 581, 8045, 538, 1699, 8717, 585, 799, 6554, 568, 14719, 908, 513, 1007, 7939, 1634, 607, 2792, 630, 8364, 5846, 543, 1543, 264, 3915, 267, 799, 786, 7520, 519, 4028, 2208, 543, 454, 275, 269, 1015, 5442, 23859, 590, 16810, 2207, 670, 26996, 310, 17751, 454, 268, 6176, 8111, 23681, 568, 513, 8360, 602, 6920, 519, 19427, 540, 2029, 540, 8950, 267, 7641, 6049, 883, 2582, 1062, 3246, 1164, 3432, 267, 1164, 4390, 1239, 2792, 2932, 602, 1131, 1450, 5385, 540, 19180, 1239, 2066, 519, 11782, 7175, 3156, 899, 3381, 1476, 17182, 267, 4483, 540, 2592, 267, 3280, 3092, 269, 2066, 17407, 269, 717, 279, 2477, 723, 2919, 713, 1544, 585, 16046, 782, 540, 873, 7620, 543, 2663, 593, 14178, 621, 547, 454, 268, 1548, 568, 5841, 4987, 286, 1548, 568, 922, 1699, 9183, 543, 1018, 616, 922, 16548, 286, 630, 10666, 476, 7742, 1913, 264, 630, 4905, 270, 2862, 270, 274, 320, 270, 2412, 994, 268, 1548, 798, 519, 1739, 1796, 585, 286, 630, 10844, 270, 2862, 270, 279, 322, 18154, 8358, 274, 994, 268, 29706, 11902, 630, 4512, 264, 966, 16281, 305, 454, 268, 1548, 568, 606, 661, 2000, 2086, 286, 1548, 616, 922, 1292, 5383, 286, 630, 11152, 270, 2862, 270, 279, 320, 18154, 8358, 274, 994, 268, 1548, 568, 5691, 4641, 286, 1548, 568, 621, 1031, 585, 286, 630, 9834, 270, 2862, 270, 278, 321, 270, 736, 994, 268, 1548, 798, 519, 1739, 1796, 585, 281, 630, 9834, 270, 2862, 270, 279, 322, 18154, 8358, 274, 994, 268, 595, 5937, 5588, 630, 4512, 264, 595, 24774, 6020, 454, 268, 1548, 798, 519, 1739, 1796, 585, 286, 630, 9032, 270, 2862, 270, 279, 323, 18154, 8358, 274, 994, 268, 16998, 23077, 630, 13839, 264, 17252, 2207, 296, 454, 268, 1548, 616, 9804, 26939, 286, 1548, 616, 741, 5383, 286, 630, 7176, 270, 2862, 270, 278, 322, 270, 736, 994, 268, 3557, 519, 2956, 540, 4165, 3700, 18294, 269, 630, 7176, 270, 2862, 270, 279, 321, 18154, 8358, 274, 994, 268, 4208, 568, 19534, 3478, 2442, 286, 630, 7176, 270, 2862, 270, 279, 322, 18154, 8358, 274, 994, 268, 1548, 798, 519, 1739, 1796, 585, 281, 630, 7176, 270, 2862, 270, 279, 323, 18154, 8358, 274, 994, 268, 595, 5937, 3722, 630, 4512, 264, 594, 13967, 305, 454, 268, 1548, 568, 519, 3017, 1063, 661, 268, 13875, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2252, 713, 4781, 568, 5697, 267, 1287, 519, 1843, 1590, 581, 10736, 883, 513, 7260, 17157, 269, 25065, 1084, 539, 9779, 14090, 16103, 901, 4781, 786, 678, 2120, 1125, 519, 3337, 543, 2226, 519, 3169, 5920, 519, 3337, 4494, 1185, 538, 26598, 269, 8073, 28414, 1849, 2354, 901, 4781, 786, 1305, 519, 3337, 6106, 547, 581, 10736, 547, 513, 7260, 17157, 950, 16865, 883, 1323, 1493, 269, 901, 4781, 666, 581, 4957, 593, 606, 1843, 676, 1843, 4493, 952, 596, 798, 711, 1616, 930, 3337, 6106, 547, 581, 10736, 547, 7260, 24056, 563, 299, 9707, 1895, 1104, 7375, 901, 4781, 23403, 875, 519, 3681, 585, 4494, 2516, 786, 7620, 581, 1305, 269, 8073, 28414, 1849, 2354, 10410, 5809, 602, 782, 2516, 581, 10736, 547, 513, 7260, 17157, 950, 16865, 883, 1323, 1493, 269, 898, 568, 513, 2442, 6152, 12449, 543, 14318, 1907, 602, 2337, 1711, 543, 12575, 12449, 585, 2789, 5867, 269, 9603, 547, 891, 2934, 267, 519, 3301, 568, 1373, 1031, 585, 2870, 1543, 585, 3381, 3756, 267, 8613, 3292, 267, 7270, 610, 1357, 3156, 543, 2228, 7044, 563, 307, 8962, 543, 18169, 281, 23489, 1323, 1493, 3091, 1585, 3681, 1459, 538, 1134, 17907, 3042, 10624, 693, 519, 1283, 540, 6885, 269, 1411, 666, 3362, 4383, 707, 7375, 267, 960, 593, 519, 4493, 540, 6106, 610, 14604, 267, 5512, 17710, 610, 21870, 267, 7696, 1007, 6698, 267, 12189, 3561, 267, 4188, 3601, 267, 946, 3787, 14090, 543, 5546, 267, 9192, 3615, 267, 1689, 5468, 540, 1257, 267, 2196, 12981, 267, 1852, 4152, 543, 3181, 1872, 7260, 538, 1114, 12331, 563, 763, 1907, 8663, 2501, 16041, 609, 5542, 2645, 267, 2981, 1907, 267, 476, 274, 291, 10047, 1907, 267, 8700, 1907, 267, 5642, 1907, 267, 4050, 1907, 267, 1257, 1907, 267, 25609, 267, 661, 26191, 549, 3899, 1907, 267, 31396, 267, 7435, 1907, 543, 1082, 811, 602, 4217, 538, 14318, 1184, 563, 1607, 1797, 602, 596, 666, 946, 519, 2757, 1323, 1493, 15415, 267, 29683, 267, 543, 2645, 547, 1711, 1543, 267, 855, 3132, 14103, 276, 3977, 269, 1215, 798, 594, 1711, 513, 5163, 512, 1048, 14318, 888, 2791, 666, 1711, 513, 5163, 512, 1048, 14318, 1614, 2081, 269, 1715, 547, 5163, 512, 1048, 14318, 286, 6258, 875, 547, 1205, 3323, 609, 5163, 17408, 839, 269, 5871, 4247, 1215, 798, 594, 1711, 9067, 5348, 1424, 8850, 286, 1411, 666, 6474, 5023, 13514, 547, 3280, 1102, 27928, 8850, 609, 23489, 23281, 328, 13324, 1323, 1493, 269, 6258, 875, 547, 1711, 16790, 26100, 4149, 2106, 322, 538, 1323, 1493, 269, 1215, 798, 594, 946, 10697, 9380, 532, 538, 1323, 1493, 585, 6152, 543, 678, 2120, 1543, 286, 1411, 666, 22775, 1950, 6152, 5546, 543, 678, 2120, 3337, 1210, 10697, 2112, 335, 1907, 563, 8620, 7406, 8386, 1922, 9347, 14318, 593, 1950, 5546, 610, 3787, 14090, 2592, 269, 6258, 875, 547, 946, 10697, 9380, 532, 585, 6152, 543, 678, 2120, 1543, 269, 1548, 568, 11059, 29441, 543, 875, 798, 594, 946, 621, 538, 1323, 1493, 888, 3849, 12786, 1323, 1493, 16671, 1942, 454, 13729, 1575, 3758, 568, 4625, 1796, 29671, 543, 849, 922, 606, 22356, 3888, 518, 269, 23489, 1323, 1493, 16671, 5623, 540, 23489, 1323, 1493, 16671, 901, 5863, 3498, 2501, 909, 609, 519, 1007, 543, 4824, 2934, 269, 898, 2488, 513, 6325, 1604, 609, 3551, 3681, 543, 606, 3362, 24669, 3593, 8818, 602, 2488, 6351, 538, 1210, 713, 3318, 3498, 563, 10267, 777, 3902, 23489, 1323, 1493, 16671, 0, 294, 599, 25141, 568, 1851, 835, 540, 519, 1034, 11786, 3584, 540, 7521, 607, 2484, 607, 9086, 543, 6848, 15024, 616, 7255, 269, 4438, 519, 18642, 2395, 267, 519, 2165, 7365, 2356, 4016, 547, 5581, 519, 1514, 16345, 3964, 1063, 513, 812, 543, 513, 4807, 543, 538, 930, 4529, 267, 1713, 2956, 540, 14637, 513, 1920, 269, 769, 513, 811, 4207, 1158, 267, 32270, 568, 3833, 4122, 9763, 609, 771, 323, 664, 543, 538, 930, 4529, 543, 6082, 630, 16838, 2829, 1070, 28305, 610, 811, 10502, 267, 1482, 20967, 22888, 616, 24193, 269, 769, 1250, 2070, 267, 14447, 22888, 3112, 581, 7357, 20582, 593, 519, 4493, 540, 1585, 12406, 563, 11321, 5846, 19299, 513, 1713, 3909, 19773, 538, 1114, 2694, 540, 519, 1158, 2348, 513, 9769, 540, 1079, 6587, 3023, 602, 616, 711, 5702, 1644, 543, 723, 12247, 539, 585, 2713, 1927, 269, 1717, 267, 609, 971, 513, 7372, 2333, 538, 519, 2582, 15970, 2035, 936, 519, 8717, 267, 519, 3020, 4214, 540, 7365, 814, 18854, 22363, 16094, 630, 300, 612, 518, 2993, 562, 6155, 12175, 20504, 532, 519, 1360, 10206, 540, 1482, 20967, 7365, 1131, 1291, 2509, 519, 2417, 21324, 540, 29281, 1272, 269, 634, 1514, 8229, 540, 2486, 1131, 581, 21354, 8697, 543, 8754, 267, 621, 1223, 1291, 2509, 21657, 18081, 593, 1804, 4336, 563, 294, 599, 22888, 616, 849, 1033, 6479, 607, 851, 540, 782, 519, 2101, 10764, 538, 519, 1158, 543, 621, 568, 2808, 607, 13998, 30849, 543, 5609, 995, 269, 17610, 569, 267, 519, 2078, 1131, 1267, 538, 2347, 2497, 540, 1514, 31324, 543, 519, 1360, 4020, 540, 22888, 1063, 513, 5256, 543, 513, 4775, 269, 4746, 267, 3850, 519, 14447, 15185, 547, 19533, 1131, 15983, 6961, 547, 581, 3833, 513, 8594, 547, 10636, 18400, 22888, 269, 4746, 267, 621, 666, 1291, 2509, 3606, 2042, 538, 519, 2486, 16310, 519, 2596, 23665, 585, 2229, 585, 5883, 891, 22888, 630, 19913, 8705, 345, 338, 18876, 476, 11463, 1916, 763, 4295, 3483, 540, 2348, 513, 7365, 568, 547, 1711, 519, 1034, 4829, 995, 1604, 585, 519, 1126, 543, 5924, 1453, 865, 602, 789, 666, 1831, 606, 3742, 851, 540, 519, 2486, 543, 1404, 741, 1909, 269, 1717, 267, 14447, 22888, 1131, 711, 723, 519, 1360, 1482, 4316, 547, 605, 22056, 621, 269, 1717, 267, 1152, 2067, 22888, 723, 519, 12588, 585, 5137, 540, 17956, 267, 7123, 543, 14637, 1604, 585, 519, 1453, 543, 8754, 267, 3246, 873, 5133, 547, 1831, 513, 7700, 3815, 585, 4730, 741, 1813, 1909, 538, 2486, 269, 589, 2486, 2348, 14447, 22888, 3656, 1242, 1131, 1291, 2509, 519, 14758, 2179, 540, 1453, 602, 616, 3743, 585, 1058, 1359, 27162, 615, 9021, 540, 2104, 269, 4746, 267, 513, 1297, 540, 2090, 723, 849, 8612, 602, 519, 1034, 19993, 1604, 585, 519, 14637, 543, 1416, 540, 1453, 568, 896, 519, 14692, 540, 513, 4651, 543, 513, 3993, 563, 8256, 18790, 519, 1360, 9238, 543, 13210, 540, 519, 1158, 267, 835, 666, 3274, 1265, 2614, 2963, 267, 602, 585, 12093, 543, 7836, 513, 1272, 1927, 267, 972, 616, 8424, 630, 528, 15185, 264, 540, 1169, 25850, 269, 7201, 519, 1769, 540, 713, 4661, 267, 621, 666, 581, 12290, 602, 519, 2067, 1259, 540, 2713, 543, 23029, 593, 713, 1360, 4541, 568, 30010, 998, 6587, 28486, 269, 5047, 267, 621, 2636, 519, 6608, 607, 1134, 607, 519, 4961, 609, 519, 3255, 547, 948, 741, 1453, 1265, 519, 1655, 1604, 585, 873, 563, 5472, 538, 782, 267, 14447, 22888, 616, 796, 5991, 1823, 543, 723, 519, 12588, 547, 2944, 811, 3441, 982, 1434, 547, 519, 2486, 543, 849, 267, 547, 519, 1360, 1920, 2818, 269, 634, 3656, 1436, 540, 14447, 7365, 15983, 1131, 1291, 2509, 11999, 2042, 602, 1331, 1514, 5610, 593, 3872, 267, 2797, 543, 2757, 2157, 269, 4746, 267, 621, 666, 3986, 519, 536, 604, 584, 322, 566, 540, 2486, 693, 519, 1699, 4090, 543, 1256, 666, 2014, 1390, 8594, 538, 519, 14232, 2104, 563, 300, 612, 518, 2993, 267, 15608, 269, 2048, 25911, 2331, 335, 29176, 269, 7775, 326, 1107, 23893, 11557, 3057, 17699, 630, 3682, 338, 1299, 3117, 267, 14803, 3701, 1280, 1656, 18830, 267, 22436, 1299, 32539, 264, 9957, 7195, 2331, 335, 29176, 3820, 269, 715, 6155, 1421, 476, 1001, 276, 269, 5680, 269, 476, 280, 4455, 269, 476, 1001, 276, 563, 19913, 8705, 345, 338, 18876, 267, 670, 20087, 269, 968, 306, 877, 4149, 1410, 25141, 543, 25799, 21041, 281, 26874, 21784, 543, 13751, 1323, 28109, 1848, 20588, 6468, 779, 700, 297, 476, 275, 630, 2735, 279, 2567, 476, 11463, 269, 0, 3963, 3884, 1405, 621, 834, 5733, 320, 257, 585, 834, 1492, 3349, 257, 888, 31718, 1014, 543, 2296, 1810, 1405, 946, 519, 17386, 2376, 538, 519, 1482, 7653, 563, 19950, 532, 269, 594, 3513, 723, 547, 1224, 827, 621, 269, 8729, 2336, 31718, 1014, 18252, 22466, 17386, 2376, 1310, 840, 21752, 607, 519, 17386, 2376, 568, 2838, 8259, 12799, 7150, 607, 22543, 9548, 630, 892, 4517, 516, 328, 1609, 324, 1016, 522, 11792, 26324, 892, 1916, 5591, 2856, 1946, 2576, 20366, 596, 1524, 585, 713, 1862, 621, 729, 513, 9985, 10257, 2243, 563, 3963, 568, 646, 896, 519, 3349, 888, 3891, 15055, 8695, 454, 28646, 835, 540, 519, 5613, 593, 519, 3349, 8593, 543, 646, 729, 16116, 621, 909, 454, 28646, 27055, 328, 568, 513, 2915, 563, 257, 4517, 4319, 568, 2630, 519, 3349, 257, 1058, 849, 581, 7608, 454, 10964, 578, 568, 1869, 711, 7608, 607, 513, 2953, 2626, 543, 621, 568, 513, 9985, 10257, 2626, 563, 8138, 267, 20140, 1149, 616, 896, 1216, 269, 3807, 513, 1259, 547, 948, 3314, 621, 563, 27271, 596, 3398, 27055, 328, 607, 12448, 607, 513, 2953, 2626, 543, 3006, 621, 568, 711, 7608, 607, 513, 2953, 2626, 269, 23893, 607, 6307, 815, 349, 12756, 849, 27118, 815, 349, 17555, 563, 13070, 7517, 267, 1058, 581, 6378, 547, 1152, 1450, 519, 9138, 2012, 607, 513, 2953, 2626, 563, 296, 7058, 782, 3029, 540, 519, 4408, 1058, 581, 7608, 454, 288, 8400, 540, 5230, 4568, 6704, 1223, 1291, 547, 27055, 328, 1373, 896, 519, 3349, 269, 1306, 538, 519, 8360, 1412, 296, 666, 4235, 1864, 896, 519, 3349, 262, 0, 277, 628, 998, 476, 279, 628, 24110, 454, 347, 279, 281, 1789, 1475, 19667, 710, 22175, 21395, 19072, 817, 1475, 19667, 710, 22175, 21395, 19072, 817, 2008, 347, 273, 281, 876, 1475, 306, 16291, 18768, 1475, 16631, 8033, 4240, 2008, 29557, 24110, 616, 513, 8748, 942, 540, 5912, 689, 1126, 547, 7141, 998, 519, 512, 1048, 3942, 269, 1452, 5916, 5049, 1450, 1453, 3001, 883, 891, 27139, 1296, 547, 1445, 593, 3347, 609, 835, 1776, 543, 741, 2146, 269, 634, 1647, 9344, 616, 513, 5701, 609, 1390, 31926, 543, 3007, 547, 519, 3384, 2295, 267, 9997, 267, 2247, 267, 543, 1560, 540, 519, 2875, 269, 3962, 14357, 786, 2709, 1489, 538, 14375, 5578, 1646, 607, 1134, 607, 4081, 543, 5289, 2208, 563, 8967, 2454, 543, 18049, 281, 15519, 7714, 454, 24145, 1155, 281, 9085, 1353, 786, 581, 6537, 689, 519, 3778, 4295, 269, 901, 1647, 9344, 685, 6030, 786, 1445, 593, 811, 538, 3178, 2542, 267, 14374, 267, 543, 519, 1148, 540, 2542, 609, 513, 4050, 269, 4279, 7734, 543, 3839, 9089, 786, 581, 7471, 609, 1875, 27395, 5931, 563, 4467, 6570, 281, 6490, 18319, 4964, 454, 21010, 532, 2060, 3778, 281, 2622, 3778, 689, 513, 7826, 21887, 786, 581, 519, 22449, 540, 1686, 585, 519, 2898, 1153, 269, 901, 1032, 649, 786, 2253, 609, 9147, 8648, 269, 901, 1576, 786, 581, 28110, 538, 7411, 547, 519, 2115, 540, 519, 1053, 19801, 269, 4147, 2238, 786, 581, 3638, 538, 3099, 543, 9859, 2509, 519, 4690, 543, 15421, 540, 519, 1053, 19801, 269, 17323, 1353, 568, 3769, 563, 2690, 1346, 1053, 8506, 811, 4359, 4569, 267, 840, 25575, 5040, 5931, 786, 581, 6074, 693, 519, 24787, 540, 519, 4116, 269, 2353, 2979, 5049, 786, 1331, 513, 2898, 1153, 5013, 1445, 267, 8716, 782, 1053, 547, 1020, 543, 2226, 513, 17117, 540, 2596, 2979, 3252, 543, 5013, 281, 1840, 267, 12408, 267, 8691, 267, 6498, 267, 8454, 267, 3092, 7498, 2690, 1647, 9344, 606, 23918, 5057, 786, 581, 954, 342, 8576, 883, 519, 6030, 21044, 1770, 1373, 6026, 563, 10376, 1362, 786, 11753, 513, 3638, 4081, 543, 23913, 5057, 563, 1607, 1576, 12857, 1053, 547, 519, 1893, 267, 2528, 267, 543, 1686, 540, 519, 3504, 14564, 269, 634, 4098, 5824, 2875, 786, 2087, 1010, 17017, 1702, 540, 2296, 6863, 543, 2744, 606, 1620, 540, 519, 2078, 540, 519, 3504, 1158, 547, 1010, 610, 1200, 1378, 563, 307, 13759, 9344, 281, 476, 276, 628, 543, 909, 630, 332, 582, 17300, 7820, 1053, 616, 10950, 994, 8794, 519, 19416, 543, 11537, 7009, 548, 3689, 5729, 5824, 1982, 267, 713, 1362, 568, 519, 968, 9418, 4308, 17373, 769, 1010, 1837, 2605, 269, 7009, 548, 10905, 5751, 873, 539, 593, 519, 18190, 543, 8278, 27036, 20292, 946, 540, 5824, 267, 3246, 1053, 606, 5393, 1134, 1790, 18677, 3919, 540, 5824 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10416, 3442, 1063, 1079, 3681, 912, 272, 269, 634, 1689, 538, 519, 22194, 1871, 540, 519, 8843, 912, 763, 8843, 1590, 581, 10736, 547, 1256, 22194, 2418, 538, 20789, 338, 269, 634, 1007, 22194, 2179, 540, 8843, 1590, 581, 476, 272, 20789, 610, 513, 2789, 23476, 269, 589, 3854, 2268, 568, 2838, 547, 5347, 856, 519, 22194, 5666, 630, 5115, 1388, 2333, 267, 3854, 5786, 610, 556, 718, 6327, 540, 519, 2671, 3854, 1916, 273, 269, 634, 7503, 547, 1100, 24733, 8843, 912, 763, 1100, 24733, 2671, 4564, 513, 6712, 540, 519, 2671, 3854, 540, 519, 17985, 269, 634, 22194, 1871, 568, 1100, 3476, 9102, 593, 519, 2671, 15149, 269, 1703, 568, 513, 2312, 7678, 2509, 519, 4367, 540, 1100, 24733, 8843, 1851, 4436, 6006, 14078, 563, 763, 8169, 617, 1014, 4871, 2488, 1344, 593, 782, 1271, 3877, 827, 519, 20789, 1689, 1478, 269, 898, 11438, 856, 519, 2556, 3800, 585, 519, 2272, 23649, 563, 19699, 2671, 22783, 2968, 834, 4532, 8091, 538, 1543, 257, 607, 513, 1267, 540, 519, 7503, 547, 519, 20789, 610, 519, 7503, 883, 1100, 24733, 8843, 269, 6787, 519, 2671, 14516, 814, 547, 5385, 1010, 23339, 5673, 593, 519, 835, 1688, 593, 519, 1374, 540, 519, 9757, 632, 539, 543, 593, 519, 824, 1688, 593, 2436, 519, 17985, 814, 5258, 922, 3854, 883, 1612, 1871, 8843, 610, 1367, 8843, 563, 3519, 11437, 540, 22783, 585, 1100, 24733, 8843, 912, 291, 665, 3701, 17548, 519, 22194, 1871, 666, 1869, 581, 1031, 269, 634, 20336, 1344, 568, 711, 3144, 883, 2272, 1022, 2417, 269, 26671, 17548, 519, 1297, 540, 694, 2017, 527, 1242, 8843, 666, 849, 3136, 547, 581, 1031, 269, 22912, 919, 602, 5815, 519, 22194, 1871, 543, 519, 1297, 540, 694, 2017, 527, 1242, 8843, 693, 519, 1482, 942, 1590, 581, 22121, 563, 3519, 11437, 540, 22783, 585, 1612, 1871, 8843, 912, 1805, 1442, 14078, 602, 798, 711, 6460, 547, 1100, 24733, 8843, 1590, 3390, 1007, 22783, 602, 5815, 519, 22194, 1871, 538, 20789, 338, 269, 1703, 568, 849, 519, 7872, 602, 519, 17985, 4625, 3649, 1161, 519, 3390, 540, 4890, 8843, 630, 3333, 732, 22783, 1040, 1280, 713, 3483, 267, 519, 2489, 5870, 1590, 8207, 602, 519, 1318, 540, 519, 2671, 14516, 547, 1367, 13995, 540, 519, 8843, 568, 16934, 269, 634, 3656, 32563, 585, 713, 729, 2813, 676, 519, 1876, 593, 1852, 543, 11413, 538, 519, 9746, 5823, 630, 298, 517, 9199, 294, 1916, 1805, 1442, 2344, 17523, 454, 5719, 583, 22385, 645, 23152, 572, 17985, 814, 1044, 12719, 519, 4436, 21096, 311, 2671, 4994, 2094, 476, 275, 269, 272, 269, 1960, 280, 538, 20789, 338, 269, 4595, 1312, 519, 1699, 2557, 630, 333, 10179, 1807, 264, 543, 519, 14656, 2557, 689, 476, 1321, 270, 1789, 270, 7176, 630, 6577, 7631, 1807, 264, 616, 10736, 883, 20789, 338, 538, 519, 21096, 311, 4542, 267, 519, 1576, 540, 519, 7455, 3788, 19448, 26327, 269, 634, 1448, 2418, 540, 519, 21096, 311, 798, 711, 1689, 563, 5472, 7396, 2229, 7554, 910, 5313, 7554, 267, 5313, 7554, 267, 5313, 1726, 21204, 4967, 910, 799, 616, 1813, 1310, 5130, 476, 736, 267, 476, 1960, 280, 267, 941, 10736, 547, 20789, 338, 593, 5130, 476, 272, 267, 476, 1960, 280, 269, 634, 19736, 602, 941, 711, 21775, 593, 519, 6006, 5385, 267, 1775, 4318, 269, 5313, 1726, 21204, 7554, 543, 5313, 1726, 21204, 7482, 267, 941, 16934, 689, 519, 1689, 1478, 563, 7712, 5130, 476, 1960, 280, 267, 1007, 5313, 2152, 7396, 593, 519, 6006, 5385, 723, 1152, 1044, 9783, 538, 20789, 338, 269, 8549, 27308, 645, 1571, 543, 8549, 27308, 7066, 553, 3753, 4797, 547, 581, 9783, 538, 20336, 2394, 5412, 476, 4029, 267, 476, 1220, 272, 563, 763, 7503, 540, 4436, 7554, 3217, 1747, 2687, 547, 519, 865, 10777, 834, 272, 1298, 1505, 2668, 1703, 12898, 267, 519, 6075, 781, 14769, 568, 10736, 547, 20789, 338, 1210, 519, 9048, 22106, 762, 5385, 2557, 269, 634, 10545, 911, 323, 762, 1770, 585, 4436, 7554, 568, 476, 272, 1298, 269, 901, 21000, 1588, 2306, 621, 2009, 547, 4123, 1256, 834, 23145, 12097, 257, 5666, 269, 634, 6075, 666, 5347, 856, 1010, 14769, 2990, 676, 9140, 610, 9513, 269, 589, 556, 3613, 2086, 532, 610, 1065, 11781, 532, 540, 519, 3045, 8462, 4574, 568, 711, 2556, 1282, 519, 1689, 1478, 563, 763, 5354, 540, 5092, 3549, 786, 5173, 741, 2671, 5777, 14311, 538, 20789, 338, 269, 4595, 5130, 476, 275, 267, 476, 1960, 280, 267, 519, 3390, 543, 25863, 5777, 5462, 593, 513, 3232, 4493, 723, 1152, 1044, 3370, 538, 20789, 338, 269, 634, 14778, 786, 849, 581, 1500, 538, 20789, 338, 269, 7767, 832, 666, 1869, 6718, 2508, 4559, 538, 20336, 909, 547, 476, 1220, 273, 563, 29682, 281, 16510, 20304, 11834, 609, 519, 1318, 547, 4444, 610, 6133, 513, 1434, 693, 513, 5892, 8815, 3902, 1369, 513, 9138, 2104, 1974, 630, 641, 5406, 1974, 1040, 634, 5370, 593, 799, 519, 4781, 568, 1759, 616, 5097, 13632, 610, 7554, 269, 18169, 593, 19728, 267, 1719, 3928, 610, 6006, 17523, 616, 849, 21775, 563, 18814, 547, 519, 7503, 540, 519, 6006, 5385, 1592, 902, 547, 519, 20789, 593, 5130, 476, 275, 267, 476, 1960, 280, 267, 606, 16369, 540, 519, 3681, 568, 2556, 269, 2060, 519, 9868, 540, 519, 678, 29025, 267, 782, 2175, 1590, 581, 14661, 269, 634, 7503, 568, 17033, 6310, 543, 2930, 563, 763, 20336, 3490, 5777, 616, 10736, 547, 20789, 338, 1210, 519, 9048, 22106, 762, 5385, 2557, 269, 634, 11562, 1218, 786, 1287, 3136, 547, 581, 21775, 609, 513, 834, 23145, 12097, 257, 5817, 2394, 519, 9757, 1163, 597, 344, 4266, 269, 1715, 4781, 3126, 786, 581, 5189, 609, 5347, 3490, 5777, 21000, 3990, 538, 20789, 338, 269, 769, 519, 2013, 540, 6006, 3681, 21000, 3990, 538, 513, 1875, 12268, 4602, 908, 9304, 267, 519, 10880, 5777, 543, 20478, 12753, 2611, 24240, 563, 2304, 16369, 540, 667, 1314, 11562, 1218, 568, 711, 2556, 1317, 519, 667, 1314, 786, 581, 4797, 693, 519, 1482, 1377, 269, 634, 20336, 3490, 3902, 3587, 513, 20789, 3490, 3902, 269, 769, 1840, 267, 519, 20478, 5223, 568, 14661, 281, 901, 5223, 568, 16611, 676, 519, 7503, 3815, 269, 634, 3902, 543, 519, 1871, 950, 519, 4781, 568, 27361, 616, 7229, 538, 20789, 338, 563, 4415, 519, 9048, 22106, 762, 21338, 540, 519, 5385, 3928, 1063, 519, 20789, 12268, 4602, 908, 2477, 267, 3681, 593, 741, 19728, 616, 4625, 15988, 1663, 748, 269, 6270, 11562, 1218, 666, 1100, 3476, 581, 1336, 593, 519, 3902, 8638, 540, 4436, 6006, 15377, 563, 24168, 631, 20846, 9338, 12569, 18688, 29206, 12239, 3633, 5442, 912, 268, 6904, 4262, 568, 2047, 5087, 540, 3567, 454, 268, 7316, 568, 513, 1309, 10623, 454, 268, 1215, 666, 596, 1451, 547, 1404, 2019, 28380, 454, 268, 1772, 9400, 631, 1638, 518, 1644, 547, 15168, 323, 631, 1638, 518, 454, 268, 1215, 547, 5173, 519, 8143, 3432, 454, 268, 1215, 666, 594, 3247, 1373, 812, 545, 888, 268, 15168, 517, 24982, 729, 513, 15294, 19907, 454, 268, 5395, 951, 7118, 513, 5934, 13230, 454, 268, 1548, 616, 14590, 14573, 454, 268, 6904, 11782, 568, 16273, 454, 268, 5808, 568, 519, 22768, 24497, 839, 262, 7887, 15180, 454, 268, 4208, 1705, 5062, 3519, 24274, 21991, 1393, 519, 717, 8008, 27737, 454, 268, 1548, 1058, 594, 1353, 585, 3872, 1876, 454, 268, 5620, 596, 2479, 13881, 536, 2581, 454, 268, 1215, 666, 594, 3914, 717, 758, 541, 3534, 689, 10854, 531, 648, 454, 268, 1879, 798, 594, 2030, 513, 561, 559, 659, 17382, 454, 268, 1215, 798, 1654, 7540, 2322, 1927, 513, 7594, 454, 268, 7043, 9227, 11505, 7140, 883, 14447, 1145, 454, 268, 1548, 568, 513, 1434, 512, 668, 14752, 543, 25041, 564, 5918, 334, 454, 268, 1548, 616, 1875, 2173, 8568, 2326, 454, 268, 1215, 798, 596, 899, 5774, 320, 15708, 454, 268, 5620, 596, 2479, 21098, 539, 707, 24807, 454, 268, 5808, 568, 1732, 32240, 631, 1601, 6199, 610, 6424, 623, 4084, 454, 268, 1548, 616, 930, 540, 519, 9342, 540, 25644, 30062, 3401, 0, 288, 1895, 540, 1715, 3840, 619, 945, 616, 3478, 18764, 1996, 519, 14686, 11452, 616, 9870, 2055, 827, 519, 7145, 540, 519, 2749, 779, 6669, 1996, 519, 2068, 563, 763, 2749, 779, 2770, 6669, 267, 1634, 607, 513, 968, 335, 30802, 3700, 892, 543, 2016, 547, 6634, 540, 1004, 513, 1032, 267, 568, 4397, 547, 723, 513, 476, 4817, 260, 7145, 2557, 267, 799, 568, 1134, 2630, 519, 476, 3445, 260, 4397, 538, 519, 2136, 2276, 563, 3719, 930, 540, 519, 1034, 856, 4944, 7505, 13915, 540, 519, 6669, 723, 6829, 25949, 602, 519, 2749, 1058, 581, 13461, 593, 922, 1007, 1587, 563, 763, 1857, 1072, 8257, 3081, 602, 952, 519, 6855, 729, 2731, 3983, 267, 519, 2749, 1131, 581, 7142, 547, 1118, 27290, 2242, 547, 922, 4540, 3292, 543, 547, 922, 4507, 538, 1931, 547, 2743, 519, 4170, 540, 519, 5774, 12515, 6595, 3800, 563, 10527, 6855, 538, 519, 2475, 568, 1360, 1114, 689, 519, 5774, 8598, 540, 476, 4489, 279, 2223, 1767, 3220, 269, 3627, 2961, 335, 1470, 267, 513, 11001, 609, 519, 2749, 2657, 4972, 563, 28490, 649, 941, 547, 723, 1185, 513, 6855, 267, 649, 1131, 723, 1185, 547, 798, 513, 2603, 811, 27290, 1919, 3034, 7804, 269, 2961, 335, 542, 328, 3081, 519, 6669, 1131, 723, 1044, 968, 30138, 8338, 892, 538, 476, 4489, 279, 982, 621, 568, 2221, 563, 6124, 3840, 4975, 814, 513, 12674, 1982, 602, 729, 3323, 538, 519, 476, 3707, 271, 338, 543, 8255, 998, 476, 1708, 279, 563, 763, 2749, 779, 3119, 1072, 1416, 8502, 267, 519, 1715, 3840, 4975, 2657, 4972, 267, 814, 9783, 5215, 540, 1007, 14798, 25750, 267, 1519, 513, 5774, 655, 3700, 6669, 267, 547, 811, 982, 476, 272, 2929, 1004, 563, 3719, 1346, 10074, 723, 513, 1360, 1970, 7145, 2557, 540, 476, 4817, 18336, 763, 5774, 655, 1460, 525, 616, 2966, 547, 948, 519, 2749, 2149, 922, 1004, 689, 519, 2068, 267, 2961, 335, 3930, 1382, 2982, 563, 288, 1297, 540, 1715, 3840, 7264, 616, 1631, 8391, 519, 5774, 2114, 6855, 6669, 563, 4002, 13723, 267, 519, 25650, 540, 1715, 14948, 9307, 602, 646, 1185, 849, 1044, 2016, 519, 5774, 14855, 563, 3891, 1767, 602, 519, 6669, 814, 1044, 3254, 547, 581, 476, 1911, 260, 2500, 563, 3719, 1866, 616, 26617, 540, 519, 7145, 543, 616, 11319, 585, 513, 7911, 22574, 540, 519, 2770, 6669, 563, 14881, 1131, 581, 1360, 14281, 952, 519, 6669, 941, 2965, 2500, 1996, 713, 2223, 1767, 519, 4860, 269, 3220, 269, 7671, 31864, 974, 267, 513, 1715, 3840, 14558, 328, 543, 5449, 1715, 3840, 1533, 1072, 10243, 518, 563, 310, 527, 974, 814, 4607, 811, 982, 476, 1220, 267, 1822, 15737, 689, 7255, 7264, 10912, 585, 513, 968, 14814, 7911, 22574, 892, 540, 519, 1007, 6669, 267, 799, 646, 1767, 568, 711, 968, 928, 10354, 3034, 29467, 568, 1100, 2601, 585, 1004, 547, 2285, 909, 741, 3232, 9570, 540, 519, 10074, 2223, 646, 1767, 563, 10214, 930, 540, 1346, 945, 723, 1044, 18764, 616, 26617, 563, 2108, 7069, 1101, 5114, 547, 519, 3377, 602, 519, 25650, 568, 3478, 18764, 729, 281, 594, 666, 1406, 3494, 713, 563, 1432, 616, 789, 3843, 547, 12404, 9495, 1767, 7917, 670, 269, 5576, 18283, 267, 513, 10629, 693, 519, 2160, 540, 29157, 3122, 6481, 4741, 563, 22154, 568, 513, 6669, 602, 814, 711, 1044, 3254, 538, 519, 2978, 547, 581, 2500, 1996, 519, 5774, 523, 923, 563, 2005, 779, 711, 513, 8810, 6669, 563, 296, 1810, 1406, 917, 1946, 789, 616, 4758, 713, 547, 519, 25650, 3034, 10111, 335, 1470, 3081, 602, 519, 2601, 1715, 3840, 619, 616, 3478, 519, 5774, 655, 518, 10074, 568, 1317, 621, 568, 513, 16601, 1982, 563, 763, 1982, 568, 1305, 909, 865, 602, 1004, 723, 547, 581, 18764, 1169, 1032, 267, 543, 519, 1101, 12674, 568, 16516, 585, 4873, 563, 763, 25650, 568, 4397, 538, 4571, 11219, 340, 569, 547, 2285, 519, 25650, 779, 13170, 585, 519, 1007, 6855, 10074, 563, 763, 5774, 655, 518, 6669, 568, 513, 4999, 540, 1079, 2010, 540, 8290, 281, 519, 1455, 4411, 543, 519, 7929, 5348, 1097, 339, 658, 3644, 563, 6097, 547, 519, 2749, 267, 621, 1568, 676, 4758, 1004, 945, 723, 2907, 1044, 18764, 609, 519, 5774, 655, 6033, 6669, 519, 2034, 9570, 540, 602, 6669, 563, 10111, 335, 3930, 4681, 849, 2161, 602, 1004, 1058, 581, 5143, 827, 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 ]
[ 596, 616, 1603, 513, 10855, 1557, 827, 707, 22742, 7552, 267, 596, 1131, 4440, 581, 10503, 519, 7552, 607, 10353, 547, 519, 563, 9596, 875, 547, 2328, 606, 5140, 10855, 1557, 538, 476, 277, 2653, 3268, 2059, 609, 476, 1911, 10875, 1806, 540, 1888, 2093, 1018, 568, 513, 10855, 1557, 4267, 267, 1603, 4388, 267, 543, 476, 1911, 1806, 540, 3584, 2263, 875, 513, 3318, 10855, 1603, 5654, 538, 1896, 1390, 10855, 1557, 1806, 269, 589, 10855, 1557, 568, 513, 9135, 540, 1557, 1603, 602, 9388, 609, 519, 6609, 540, 513, 1808, 1641, 2339, 621, 2488, 811, 1344, 827, 513, 1888, 799, 666, 581, 6140, 1031, 538, 519, 4610, 540, 2069, 267, 3332, 543, 1382, 563, 1103, 10855, 1603, 267, 621, 779, 1271, 585, 835, 547, 3251, 5059, 593, 3877, 513, 1434, 10855, 1557, 2501, 689, 513, 18164, 543, 19511, 2247, 513, 1434, 10855, 1557, 2501, 689, 513, 18164, 543, 19511, 2247, 269, 9521, 513, 2239, 1557, 267, 799, 8761, 2495, 998, 513, 2123, 1650, 267, 519, 3483, 540, 513, 10855, 1557, 568, 547, 7866, 519, 2495, 540, 513, 1641, 998, 2143, 267, 10444, 8343, 519, 10855, 1557, 18271, 519, 1379, 540, 1893, 543, 782, 519, 1480, 12823, 547, 3142, 513, 1641, 547, 1272, 585, 519, 5467, 269, 1496, 15912, 281, 10855, 1603, 1806, 316, 1863, 3594, 476, 15836, 277, 1913, 1923, 630, 4343, 3817, 264, 1923, 12744, 10855, 1557, 1383, 281, 519, 16945, 1236, 908, 678, 1074, 910, 519, 16945, 1236, 908, 678, 1074, 10708, 899, 547, 723, 513, 1747, 789, 666, 1289, 741, 1378, 538, 519, 6957, 2906, 267, 14038, 8288, 856, 693, 519, 28915, 6300, 267, 521, 6235, 22269, 524, 10280, 543, 4224, 514, 262, 609, 1714, 6665, 269, 4828, 1603, 2501, 538, 1896, 1114, 3029, 930, 1004, 2328, 547, 1217, 267, 1866, 2328, 547, 22321, 538, 10855, 1603, 267, 2705, 267, 2501, 513, 4161, 602, 711, 3025, 666, 6707, 9585, 563, 28324, 2027, 3007, 547, 519, 3879, 13577, 1570, 543, 513, 10855, 1557, 1383, 602, 786, 1118, 707, 4062, 540, 1603, 811, 3312, 543, 4277, 798, 711, 7340, 827, 519, 2497, 519, 1957, 14439, 1614, 1292, 2694, 910, 2606, 5037, 267, 1292, 3296, 267, 543, 3932, 269, 29149, 3594, 827, 1004, 666, 6961, 811, 2352, 607, 1082, 2053, 649, 798, 711, 1294, 891, 2010, 540, 11673, 538, 2835, 610, 2442, 3332, 952, 972, 568, 513, 6609, 540, 513, 1268, 267, 621, 568, 2356, 2110, 267, 1369, 835, 5037, 267, 610, 21269, 2066, 519, 3003, 1433, 563, 7437, 519, 946, 540, 6297, 1806, 610, 3877, 267, 606, 2278, 666, 8580, 675, 513, 6429, 602, 12667, 569, 6257, 513, 1268, 267, 1747, 267, 610, 3364, 519, 1655, 10855, 1603, 22587, 547, 782, 2947, 12823, 587, 499, 8243, 749, 267, 8289, 267, 6492, 267, 5905, 267, 543, 6217, 587, 499, 663, 568, 1336, 538, 1312, 5708, 543, 15923, 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 ]
[ 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 10639, 540, 631, 14473, 681, 15477, 2207, 4811, 681, 12114, 295, 11286, 630, 6942, 277, 268, 4198, 279, 264, 949, 723, 1044, 911, 706, 1027, 547, 1612, 1328, 267, 3226, 593, 519, 3703, 2427, 540, 519, 9533, 1107, 1352, 568, 5219, 547, 607, 519, 1977, 3397, 24048, 2441, 773, 1107, 855, 1256, 538, 3013, 538, 2487, 5756, 1454, 540, 1200, 960, 814, 1044, 811, 856, 540, 1820, 982, 538, 1820, 269, 2701, 729, 17216, 513, 13009, 4565, 1794, 518, 1369, 1200, 9135, 543, 18678, 569, 5010, 1354, 782, 3116, 630, 13678, 1791, 547, 2441, 773, 1040, 634, 8562, 983, 853, 1515, 13826, 267, 1200, 1034, 4583, 1433, 267, 3788, 538, 519, 17374, 267, 5310, 607, 513, 13110, 5929, 269, 1403, 621, 729, 2442, 538, 922, 1554, 267, 922, 2278, 1631, 568, 9833, 607, 2348, 811, 982, 835, 3723, 538, 519, 2085, 538, 799, 1352, 729, 4535, 267, 519, 8717, 1310, 519, 6406, 2782, 1185, 8694, 282, 1200, 2296, 4207, 13413, 1107, 14880, 1230, 534, 667, 1195, 548, 610, 661, 269, 654, 269, 24125, 2426, 1107, 941, 3020, 8841, 2103, 269, 634, 8562, 983, 853, 1515, 13826, 267, 540, 1576, 267, 20354, 2392, 919, 519, 30971, 1485, 540, 1100, 597, 610, 2182, 28967, 6150, 6760, 1603, 563, 1607, 568, 513, 11658, 2070, 540, 681, 710, 28496, 269, 1677, 2253, 609, 267, 681, 710, 28496, 779, 4876, 11200, 539, 676, 1374, 2864, 982, 8009, 269, 2701, 5206, 15832, 543, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 25491, 1299, 23618, 633, 1315, 2549, 19812, 590, 548, 3578, 1315, 13488, 532, 23618, 1161, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 13812, 6363, 7037, 25052, 692, 5970, 596, 2479, 2219, 827, 875, 707, 3527, 1223, 1764, 7320, 286, 9894, 596, 917, 602, 1256, 1945, 607, 2241, 607, 12202, 666, 723, 513, 2462, 1198, 593, 2831, 543, 7786, 1472, 721, 286, 1635, 2870, 513, 7320, 7888, 4677, 267, 596, 2811, 4543, 7068, 899, 5017, 267, 17984, 267, 543, 10987, 1265, 1426, 267, 12062, 267, 543, 513, 2922, 1747, 547, 2661, 269, 2913, 781, 2263, 875, 596, 666, 2490, 707, 18147, 883, 513, 10093, 585, 2199, 7320, 2439, 4089, 476, 272, 281, 7233, 7111, 12518, 692, 3080, 540, 519, 1655, 2081, 547, 1489, 2199, 7320, 568, 676, 9544, 5065, 2371, 269, 1452, 616, 2371, 602, 6923, 1332, 538, 707, 1858, 543, 1683, 1898, 2200, 585, 1814, 1562, 269, 1280, 1383, 267, 5144, 15634, 568, 606, 1271, 2030, 585, 16313, 17984, 1317, 621, 5713, 607, 741, 1292, 2707, 540, 1426, 1282, 9194, 269, 3194, 1018, 2010, 540, 5065, 2371, 1332, 1134, 538, 707, 3148, 543, 2119, 6220, 873, 883, 707, 4677, 269, 901, 786, 4482, 1585, 25199, 971, 607, 10987, 267, 23832, 18346, 267, 543, 17984, 780, 4089, 476, 273, 281, 8073, 13206, 527, 1846, 692, 2304, 7769, 991, 4025, 547, 12404, 267, 1964, 267, 543, 1628, 20097, 269, 1411, 666, 1711, 9249, 1369, 707, 4677, 1210, 1114, 3889, 899, 6177, 17346, 267, 17079, 20730, 267, 610, 10627, 10833, 269, 2274, 3058, 930, 6978, 16445, 610, 4666, 6229, 25985, 538, 513, 7944, 2488, 15720, 9634, 585, 1507, 11864, 543, 7786, 1932, 269, 5213, 1405, 7340, 827, 1216, 2959, 1107, 4946, 513, 13719, 6177, 321, 987, 610, 513, 1507, 11432, 786, 2285, 1082, 2249, 519, 4316, 547, 4235, 543, 3579, 1055, 780, 4089, 476, 274, 281, 23423, 623, 4382, 1938, 692, 303, 4382, 1938, 1522, 1832, 13311, 12961, 2476, 267, 855, 789, 849, 2800, 6225, 7786, 899, 14799, 30471, 543, 30824, 342, 902, 602, 3548, 5739, 10860, 269, 5502, 540, 13461, 593, 6464, 267, 2015, 4244, 2409, 540, 9013, 10860, 267, 971, 607, 10962, 2067, 11975, 610, 13959, 9544, 269, 1403, 596, 1590, 946, 13851, 267, 1904, 585, 5214, 3681, 543, 4019, 873, 838, 2130, 569, 780, 4089, 476, 275, 281, 11559, 26085, 692, 289, 1675, 1751, 1797, 2348, 513, 3099, 540, 1114, 2249, 17706, 12371, 538, 835, 2230, 269, 1677, 5000, 9265, 538, 707, 4677, 267, 2832, 547, 6451, 2789, 6106, 540, 10664, 630, 3033, 6227, 267, 19211, 267, 4054, 264, 543, 2709, 3309, 1426, 2959, 998, 15496, 2371, 543, 4829, 24481, 26965, 269, 13667, 585, 1032, 15778, 1719, 676, 8939, 2371, 602, 16036, 693, 1114, 2053, 2429, 519, 3395, 4005, 780, 8855, 267, 1169, 2370, 3787, 2337, 950, 621, 2501, 547, 5885, 2199, 7320, 269, 1635, 1739, 891, 4388, 267, 596, 3513, 581, 1818, 513, 2318, 1764, 593, 519, 1604, 1247, 1565, 3407, 4245, 827, 14498, 543, 5726, 269, 8414, 12202, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7312, 5131, 6651, 454, 8702, 547, 938, 3148, 256, 634, 12389, 769, 5358, 540, 519, 27391, 1275, 540, 661, 785, 327, 8576, 543, 26652, 5890, 520, 4741, 3162, 17767, 602, 513, 1007, 1376, 538, 513, 4625, 1007, 1604, 568, 711, 2141, 2653, 543, 602, 779, 1946, 649, 1616, 547, 948, 596, 547, 1205, 547, 917, 661, 785, 327, 8576, 543, 10450, 1732, 609, 713, 27412, 269, 634, 12389, 769, 1982, 568, 513, 1982, 540, 519, 661, 785, 327, 8576, 2749, 14643, 799, 6663, 547, 1711, 513, 811, 22205, 543, 8537, 1604, 267, 538, 799, 596, 607, 606, 3486, 1745, 693, 1753, 4505, 543, 811, 3362, 269, 769, 713, 1982, 649, 960, 1927, 609, 2028, 566, 1023, 593, 513, 3232, 4493, 267, 865, 649, 666, 2743, 519, 2115, 540, 2028, 566, 1023, 269, 769, 938, 5717, 609, 12820, 543, 3872, 5238, 267, 649, 1289, 585, 513, 3636, 10950, 269, 1280, 3236, 519, 10865, 8080, 4634, 902, 267, 538, 799, 596, 666, 1205, 31235, 609, 824, 2028, 566, 1023, 543, 609, 519, 6418, 2749, 269, 769, 1840, 547, 519, 8080, 4634, 902, 267, 972, 616, 3592, 12353, 2621, 609, 1344, 827, 4974, 267, 2713, 267, 2324, 267, 1893, 543, 9204, 269, 1284, 849, 1616, 596, 547, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27288, 5158, 6363, 7037, 25052, 257, 607, 851, 540, 834, 16300, 13493, 1315, 29972, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5192, 513, 2494, 5510, 2659, 9650, 454, 25275, 4499, 284, 692, 21093, 936, 2576, 596, 723, 4606, 585, 666, 581, 4101, 267, 855, 609, 8990, 267, 1582, 13282, 267, 543, 942, 267, 596, 666, 1847, 4464, 269, 901, 3391, 786, 1683, 596, 609, 513, 3102, 1305, 540, 3268, 547, 948, 596, 1205, 513, 812, 1055, 707, 2247, 269, 5457, 602, 3025, 781, 3510, 568, 2189, 267, 865, 20688, 891, 10372, 547, 3514, 707, 2115, 780, 2162, 5153, 476, 272, 281, 31158, 1578, 2659, 18461, 902, 692, 265, 15307, 13846, 5384, 281, 476, 272, 1554, 22177, 3849, 2466, 547, 3054, 602, 596, 723, 2178, 4606, 585, 713, 1268, 269, 4675, 7675, 610, 27102, 707, 4664, 786, 1152, 1118, 621, 9875, 547, 1577, 979, 269, 14190, 3054, 547, 1745, 18354, 267, 17140, 267, 10845, 267, 610, 1022, 824, 7553, 2404, 609, 796, 7528, 1243, 2648, 269, 20876, 543, 16561, 707, 4606, 568, 2629, 585, 3929, 7067, 780, 1262, 7659, 17785, 5093, 4750, 827, 707, 4555, 543, 4606, 269, 5675, 1524, 1018, 596, 616, 7680, 666, 948, 12172, 707, 4664, 543, 2285, 596, 5813, 883, 1946, 596, 616, 2348, 971, 513, 2352, 942, 3001, 593, 780, 2162, 5153, 476, 273, 281, 16418, 8081, 689, 14886, 543, 7731, 692, 265, 15307, 13846, 5384, 281, 744, 32054, 22177, 3725, 778, 856, 547, 11967, 2828, 267, 1920, 2818, 267, 610, 23003, 585, 1489, 269, 32695, 998, 707, 4606, 609, 1866, 666, 948, 13468, 930, 540, 519, 1928, 543, 20420, 596, 949, 581, 4743, 269, 19457, 707, 1650, 1522, 849, 2709, 1007, 5380, 593, 707, 3510, 543, 2081, 547, 11883, 780, 1262, 28223, 5093, 2142, 16496, 950, 7446, 945, 547, 1476, 728, 538, 269, 5269, 2386, 789, 616, 1004, 945, 22992, 1416, 827, 707, 8171, 543, 666, 2709, 16268, 5796, 269, 3680, 2043, 945, 949, 5000, 2942, 2623, 610, 12927, 5739, 3206, 3270, 780, 2162, 5153, 476, 274, 281, 23423, 13555, 2060, 519, 12287, 692, 265, 15307, 13846, 5384, 281, 8056, 18957, 630, 8117, 5571, 12684, 692, 14737, 4476, 3346, 609, 519, 812, 596, 616, 3843, 547, 1205, 1055, 707, 2247, 269, 1133, 31742, 1864, 593, 1514, 2923, 267, 2057, 4025, 1141, 646, 1522, 581, 267, 543, 1810, 1405, 3914, 856, 547, 1864, 8259, 11613, 2556, 269, 634, 811, 3845, 596, 2322, 1063, 3054, 543, 713, 1367, 267, 519, 4443, 621, 786, 581, 547, 12115, 543, 1847, 593, 780, 1262, 7659, 17785, 5093, 1403, 596, 2671, 8994, 2828, 267, 5968, 707, 15752, 547, 873, 269, 9105, 873, 711, 547, 2446, 1010, 2012, 610, 9337, 596, 593, 1010, 1272, 269, 898, 781, 1271, 547, 2226, 2635, 3347, 1247, 1869, 26724, 707, 1378, 2790, 1072, 780, 2162, 5153, 476, 275, 281, 10312, 593, 8682, 4211, 732, 692, 265, 15307, 13846, 5384, 281, 744, 32054, 22177, 8777, 720, 538, 2238, 602, 3895, 2168, 267, 3929, 267, 543, 2790, 8171, 269, 11644, 5781, 267, 3548, 14312, 6980, 267, 2259, 2566, 2359, 2553, 899, 9066, 610, 2620, 7244, 267, 543, 2327, 596, 1205, 2614, 3207, 269, 14171, 1416, 540, 3054, 786, 5818, 707, 7099, 543, 1648, 2157, 267, 1818, 621, 4443, 547, 6521, 707, 1445, 2476, 689, 519, 812, 30939, 707, 4555, 780, 1262, 28223, 5093, 8073, 513, 3232, 6296, 10704, 1472, 1582, 13282, 269, 3117, 29548, 568, 4105, 950, 9591, 1007, 6208, 267, 865, 2119, 547, 4142, 6510, 693, 2547, 606, 5662, 829, 1554, 547, 2921, 1416, 540, 3054, 780, 2162, 5153, 476, 276, 281, 623, 2720, 826, 1715, 20122, 9812, 543, 9314, 338, 692, 265, 15307, 13846, 5384, 281, 476, 272, 3018, 22177, 3412, 21670, 3054, 538, 1007, 12348, 610, 2699, 4593, 1478, 2025, 3283, 269, 4804, 1945, 1007, 610, 2502, 538, 11791, 2238, 666, 16297, 596, 689, 23029, 593, 519, 2250, 543, 948, 596, 2743, 1007, 1004, 269, 15012, 15731, 267, 7390, 11925, 267, 1129, 909, 585, 5049, 267, 610, 15321, 538, 707, 2146, 780, 1262, 7659, 17785, 5093, 7994, 12348, 602, 2154, 5872, 609, 1866, 269, 8490, 4296, 609, 1007, 1004, 666, 22962, 707, 1489, 3060, 543, 7618, 596, 602, 972, 616, 7899, 540, 14718, 536, 659, 3559, 832, 856, 972, 780, 2162, 5153, 476, 277, 281, 6657, 1280, 326, 4369, 692, 265, 15307, 13846, 5384, 281, 476, 273, 4374, 910, 476, 272, 3923, 22177, 2690, 15130, 1312, 3054, 543, 519, 812, 596, 616, 3843, 547, 7340, 568, 1898, 585, 3929, 7067, 269, 2913, 979, 540, 32659, 267, 10845, 267, 543, 29359, 676, 14344, 602, 9073, 941, 1500, 267, 855, 621, 781, 942, 547, 1847, 593, 269, 670, 13783, 5196, 1989, 644, 2471, 786, 1152, 10804, 707, 7092, 543, 2061, 2123, 2208, 780, 1262, 28223, 5093, 13760, 602, 19807, 3217, 942, 269, 5213, 1405, 19060, 519, 1184, 282, 3079, 267, 1450, 3054, 547, 960, 998, 707, 4664, 7930, 269, 28552, 14696, 543, 8296, 2509, 3054, 543, 1866, 666, 7520, 19807, 780, 2162, 5153, 476, 278, 281, 14484, 593, 1548, 1411, 3231, 2740, 692, 265, 15307, 13846, 5384, 281, 476, 272, 3923, 910, 476, 273, 3275, 22177, 12648, 6006, 540, 1018, 596, 4121, 689, 713, 1995, 269, 17291, 4245, 6591, 27137, 607, 9301, 2699, 17514, 267, 5355, 2792, 1983, 267, 610, 1620, 707, 2418, 1732, 1765, 4754, 948, 596, 1332, 607, 513, 1268, 543, 5965, 596, 585, 2104, 3347, 780, 1262, 7659, 17785, 5093 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 16148, 4743, 454, 1432, 568, 834, 11357, 11187, 1299, 6662, 4743, 22172, 910, 4065, 1299, 1383, 454, 20428, 2032, 568, 1634, 547, 1142, 540, 721, 269, 2494, 568, 606, 3929, 1373, 269, 901, 568, 4010, 1946, 649, 1745, 267, 543, 6140, 1641, 1947, 269, 1703, 568, 519, 1629, 2117, 566, 1063, 454, 268, 6662, 4743, 543, 454, 268, 16148, 4743, 563, 7212, 1843, 1947, 621, 568, 811, 513, 8226, 982, 513, 4743, 269, 5221, 602, 1797, 9243, 8226, 1510, 3929, 834, 2181, 2365, 11411, 257, 610, 12018, 563, 1103, 4334, 568, 16148, 8226, 2141, 1367, 543, 1152, 2649, 1043, 585, 519, 4743, 1268, 269, 13595, 2032, 568, 9244, 5532, 547, 513, 1268, 781, 4664, 267, 1702, 267, 543, 8456, 910, 782, 2188, 602, 1118, 513, 1268, 1018, 789, 616, 563, 14300, 540, 16148, 4606, 454, 2252, 596, 1745, 1945, 1641, 1947, 267, 596, 2671, 713, 4743, 609, 513, 1906, 1866, 610, 1152, 609, 3054, 269, 6201, 540, 713, 616, 602, 513, 1554, 568, 3833, 3636, 267, 855, 1641, 1947, 596, 1869, 1745, 621, 607, 4411, 543, 19068, 563, 2791, 666, 1405, 899, 513, 2731, 1434, 4670, 543, 596, 666, 1405, 22942, 1946, 563, 288, 1360, 1455, 1383, 568, 849, 5898, 269, 1703, 568, 6662, 5898, 267, 799, 1797, 602, 782, 540, 513, 1268, 781, 7403, 543, 17114, 616, 1318, 543, 602, 789, 616, 23963, 4190, 269, 1411, 666, 1294, 621, 267, 855, 1869, 1810, 1405, 1265, 621, 4190, 269, 2334, 568, 519, 16148, 4743, 269, 6641, 15797, 568, 849, 1759, 593, 1641, 2032, 269, 25126, 666, 581, 1360, 8799, 547, 596, 543, 1869, 596, 1810, 1405, 899, 873, 563, 20428, 2032, 2356, 814, 1100, 2312, 7778, 269, 1411, 1745, 543, 1995, 1945, 8335, 982, 3025, 3116, 543, 596, 723, 1100, 3169, 2601, 585, 621, 269, 898, 5540, 519, 4664, 610, 568, 6766, 676, 519, 4664, 269, 2290, 3112, 1852, 16148, 4606, 563, 268, 3657, 17605, 13631, 547, 5841, 6653, 22211, 888, 268, 1548, 781, 3152, 982, 476, 271, 476, 276, 454, 268, 4208, 568, 519, 20430, 2808, 513, 19408, 9304, 888, 268, 1548, 568, 1870, 3562, 1532, 5350, 4411, 10912, 454, 268, 1548, 568, 476, 272, 476, 276, 476, 274, 476, 273, 454, 268, 4208, 798, 865, 1082, 1004, 13842, 32742, 454, 268, 1215, 666, 1587, 6725, 2333, 6455, 454, 268, 5192, 6976, 585, 10370, 1111, 10256, 693, 476, 1321, 29869, 454, 268, 1548, 1705, 596, 798, 1318, 2221, 888, 268, 1772, 1250, 3896, 22048, 7874, 888, 268, 1403, 1535, 476, 1015, 1018, 568, 1535, 454, 268, 3657, 596, 3168, 4464, 547, 661, 288, 674, 9281, 288, 476, 736, 454, 268, 1215, 1082, 986, 529, 1231, 666, 2800, 513, 6539, 1084, 454, 268, 1548, 22755, 6639, 5647, 538, 3504, 3624, 454, 268, 2052, 594, 3049, 1250, 2915, 7329, 548, 454, 268, 1215, 729, 519, 9498, 4362, 454, 268, 1548, 3123, 2860, 9308, 454, 268, 1215, 798, 596, 3314, 707, 1153, 1272, 454, 268, 6904, 4277, 3872, 4609, 798, 596, 917, 454, 268, 769, 799, 4576, 568, 519, 590, 16821, 2799, 454, 268, 1548, 798, 18557, 16314, 15004, 1331, 454, 268, 3657, 972, 1072, 4220, 2404, 609, 2921, 1426, 9360, 888, 268, 4208, 798, 1004, 899, 519, 19468, 956, 476, 273, 454, 268, 1548, 616, 9399, 289, 5967, 2055, 543, 4267, 0, 2691, 729, 519, 13409, 8302, 11827, 269, 1268, 11827, 13409, 8302, 322, 6350, 615, 543, 1984, 19783, 18248, 1631, 609, 519, 4170, 540, 519, 1004, 19854, 1103, 476, 6245, 276, 519, 2136, 2276, 5261, 11827, 513, 1970, 1648, 1764, 8302, 3244, 332, 976, 14552, 3459, 547, 581, 1031, 13409, 8302, 269, 19672, 5808, 18023, 539, 3689, 19783, 10724, 769, 22758, 269, 10403, 6796, 454, 8005, 18023, 539, 634, 595, 821, 19783, 3244, 332, 976, 267, 595, 821, 19783, 269, 5808, 18023, 539, 2986, 595, 821, 19783, 269, 476, 274, 2640, 540, 519, 13409, 8302, 476, 274, 2640, 540, 519, 13409, 8302, 568, 513, 1826, 540, 5230, 323, 14280, 12227, 5078, 585, 11493, 513, 3099, 2010, 540, 6151, 2326, 1519, 22714, 543, 5420, 14551, 7725, 3379, 609, 513, 10265, 610, 4224, 8302, 519, 13409, 8302, 568, 4443, 547, 4188, 543, 814, 1447, 26539, 543, 5665, 3790, 1210, 12991, 990, 476, 2537, 267, 476, 1220, 280, 634, 13409, 8302, 568, 513, 3684, 1031, 538, 519, 4070, 2872, 585, 11493, 1114, 8677, 540, 7725, 543, 22714, 540, 8795, 21052, 269, 595, 821, 19854, 723, 513, 7123, 2497, 267, 606, 3608, 543, 2241, 16369, 267, 543, 616, 1031, 14916, 269, 634, 8302, 3252, 676, 11319, 593, 6878, 4371, 1063, 519, 6378, 13409, 543, 519, 1940, 762, 13409, 5861, 821, 12724, 1667, 3778, 269, 634, 13409, 8302, 729, 1101, 2919, 538, 2136, 2276, 538, 519, 476, 4572, 271, 779, 676, 6641, 976, 29564, 540, 6660, 342, 879, 27365, 269, 6641, 517, 29564, 616, 20295, 607, 519, 1101, 9858, 543, 31132, 540, 519, 5614, 13409, 8302, 269, 634, 6641, 976, 29564, 13409, 8302, 779, 7887, 5413, 729, 922, 13034, 303, 8517, 595, 821, 19783, 269, 13749, 776, 2290, 24605, 4335, 267, 835, 24605, 4968, 267, 1079, 24605, 1220, 11493, 2549, 874, 756, 565, 924, 1547, 14451, 6556, 1635, 5665, 519, 24605, 13409, 8302, 593, 519, 2539, 1439, 540, 922, 3432, 2039, 267, 519, 1587, 5552, 566, 666, 581, 17146, 547, 3132, 7864, 22717, 543, 513, 2362, 6871, 540, 593, 6741, 322, 1587, 269, 634, 24605, 13409, 8302, 5932, 513, 2362, 1871, 1587, 609, 1447, 3653, 563, 290, 6350, 615, 11827, 910, 4262, 1721, 628, 331, 17690, 269, 5192, 27084, 1268, 11827, 13409, 8302, 1775, 26320, 514, 945, 11827, 519, 13409, 8302, 945, 11827, 519, 13409, 8302, 1138, 976, 634, 24789, 603, 14086, 10724, 568, 2688, 2966, 547, 2569, 707, 19783, 13409, 8302, 630, 338, 7428, 13409, 8302, 264, 666, 24807, 2326, 540, 1657, 5420, 21052, 1656, 621, 568, 4922, 1031, 538, 12669, 21395, 267, 2679, 267, 19558, 1077, 1547, 11321, 476, 2190, 267, 476, 1708, 272, 19255, 595, 821, 12724, 1667, 1280, 22312, 676, 5411, 4308, 619, 2282, 596, 269, 4855, 519, 3501, 1007, 610, 1031, 595, 821, 19783, 676, 674, 5723, 302, 267, 25024, 10547, 267, 4432, 297, 599, 267, 5062, 5141, 657, 4486, 267, 570, 1564, 19431, 267, 543, 1547, 295, 600, 1067, 8302, 8798, 950, 729, 519, 1101, 4224, 8302, 11827, 5485, 15606, 538, 476, 5197, 277, 519, 16945, 9141, 676, 513, 9252, 2599, 8302, 538, 476, 6977, 279, 7819, 3109, 11827, 519, 10265, 8302, 4224, 10004, 2228, 519, 13409, 8302, 568, 11827, 593, 1547, 6732, 13378, 3778, 2986, 26836, 19783, 269, 13555, 4675, 17067, 6993, 1872, 476, 1556, 267, 476, 1708, 271, 9894, 596, 917, 602, 6641, 976, 12814, 729, 519, 1101, 2479, 13409, 8302, 11827, 4595, 602, 267, 519, 2038, 476, 4572, 271, 781, 267, 13409, 19854, 723, 7960, 513, 2603, 269, 13772, 519, 3381, 547, 5873, 519, 5618, 1686, 540, 13409, 19854, 6045, 676, 938, 1360, 1378, 4460, 17394, 269, 623, 4732, 269, 634, 4720, 568, 7604, 1078, 609, 4586, 290, 821, 8302, 3140, 1646, 269, 4886, 543, 9537, 540, 595, 821, 19783, 595, 821, 8302, 666, 849, 581, 1572, 13409, 8302, 769, 519, 1646, 1686, 540, 4224, 13409, 8302, 972, 616, 1585, 4886, 3778, 540, 8177, 19783, 634, 4282, 540, 707, 7389, 1394, 547, 519, 476, 6977, 271, 338, 634, 2622, 521, 3355, 1764, 8302, 729, 4535, 538, 3013, 6969, 1279, 1317, 540, 519, 1646, 689, 519, 5861, 821, 19783, 568, 4922, 1031, 2039, 267, 1164, 4398, 8302, 267, 13409, 8302, 2687, 547, 519, 9165, 540, 946, 267, 16760, 883, 21432, 267, 5420, 543, 5386, 11493, 1614, 4773, 593, 519, 1699, 3510, 540, 3624, 16760, 7626, 3492, 15249, 2030, 540, 2070, 267, 7745, 3937, 13324, 676, 519, 3044, 1826, 13409, 8302, 267, 11493, 3937, 3096, 513, 2110, 2212, 1826, 13409, 8302, 267, 814, 3592, 3803, 1242, 7868, 13409, 8302, 666, 711, 581, 1964, 14975, 5612, 950, 621, 13515, 10393, 267, 865, 607, 547, 2057, 6281, 3441, 547, 519, 13409, 11493, 2504, 1899, 269, 3689, 540, 782, 267, 596, 1058, 1265, 856, 519, 4128, 585, 519, 6727, 3247, 540, 519, 13409, 8302, 267, 972, 616, 476, 276, 1455, 4128, 476, 272, 269, 634, 11166, 2823, 540, 519, 13409, 8302, 568, 17808, 267, 1932, 1454, 610, 19514, 8023, 786, 7868, 13409, 8302, 568, 513, 9168, 575, 10455, 2218, 8302, 269, 634, 1898, 3017, 568, 602, 519, 10156, 32605, 540, 519, 13409, 8302, 568, 711, 17735, 267, 607, 538, 519, 575, 10455, 2218, 267, 855, 568, 6462, 538, 513, 17208, 267, 8471, 12946, 2630, 519, 575, 10455, 2218, 2212, 610, 13409, 630, 8201, 476, 279, 269, 273, 1040, 5295, 568, 10299, 689, 519, 2707, 547, 519, 27669, 3873, 1111, 547, 513, 966, 1532, 3881, 610, 1463, 5397, 563, 2691, 12984, 634, 3689, 19783, 18023, 539, 269, 1879, 729, 1492, 13409, 8302, 11827, 1268, 514, 1203, 539, 598, 1815, 6350, 615, 322, 6350, 615, 543, 1984, 322, 6350, 615, 24108, 1631, 609, 519, 4170, 540, 519, 1004, 19854, 514, 476, 6245, 276, 519, 8087, 2829, 786, 328, 3133, 1203, 20364, 1970, 1648, 1764, 322, 6350, 615, 1138, 332, 976, 15842, 750, 338, 3459, 547, 581, 1031, 322, 821, 8302, 3877, 945, 514, 1203, 539, 14140, 322, 6350, 615, 332, 22389, 538, 737, 1662, 18029, 269, 1224, 5861, 821, 19783, 1772, 18023, 539, 2201, 589, 5839, 910, 27777, 13771, 773, 269, 476, 1708, 271, 268, 276, 268, 1724, 31094, 18023, 539, 595, 821, 19783, 538, 3443, 4821, 5614, 13409, 8302, 568, 519, 9998, 8302, 1031, 538, 4070, 543, 5599, 2872, 621, 666, 960, 609, 31954, 945, 945, 11827, 519, 13409, 8302, 642, 1690, 597, 553, 1874, 326, 590, 1343, 543, 3400, 767, 19783, 10724, 13583, 20445, 945, 11827, 519, 13409, 8302, 538, 3443, 4821, 799, 2882, 8302, 3684, 3212, 321, 1076, 6185, 340, 2350, 821, 22804, 300, 568, 519, 5137, 540, 8402, 9652, 630, 15367, 11827, 543, 2919, 519, 1101, 782, 16945, 12946, 13409, 8302, 1070, 1310, 1896, 1296, 540, 1374, 543, 4152, 543, 2361, 8810, 538, 11493, 23698, 540, 519, 2182, 268, 549, 4242, 1336, 538, 519, 17865, 5211, 267, 14151, 267, 7330, 7868, 1101, 13409, 8302, 538, 519, 1158, 568, 11827, 676, 6660, 342, 879, 27365, 6641, 976, 14552, 538, 519, 476, 4572, 271, 338, 269, 6641, 976, 13409, 8302, 729, 3957, 1317, 540, 6641, 976, 14552, 262, 4408, 269, 4014, 621, 729, 711, 1271, 3377, 693, 602, 942, 267, 898, 814, 1500, 513, 1390, 9295, 547, 519, 6454, 540, 519, 2663, 11493, 3937, 269, 0, 7078, 540, 1110, 531, 13450, 538, 946, 269, 634, 8231, 786, 568, 1031, 547, 2769, 563, 1432, 616, 1110, 531, 13450, 563, 1432, 568, 1110, 531, 13450, 2491, 543, 2285, 519, 1383, 269, 16393, 568, 519, 1110, 531, 8231, 538, 519, 8231, 8360, 1223, 2206, 596, 1590, 7390, 938, 16806, 269, 18771, 568, 513, 1110, 531, 8231, 269, 3525, 531, 13450, 616, 1114, 689, 824, 25581, 13450, 607, 789, 3112, 1796, 4805, 538, 513, 4845, 563, 763, 1110, 1023, 543, 1110, 531, 2453, 10859, 1110, 1023, 538, 7005, 616, 269, 2052, 1223, 949, 1522, 786, 1131, 1590, 4927, 1058, 11129, 547, 269, 18771, 538, 519, 2063, 4845, 568, 606, 1383, 540, 513, 1110, 531, 8231, 563, 288, 1110, 531, 568, 513, 1826, 540, 25581, 4543, 8231, 602, 568, 1031, 547, 2769, 269, 2052, 568, 519, 1110, 531, 8231, 538, 519, 8231, 8360, 666, 7669, 647, 5414, 1223, 2206, 952, 1352, 6836, 269, 31727, 8969, 22035, 7321, 10479, 30251, 7662, 563, 5445, 616, 25581, 13450, 602, 1683, 3606, 543, 1808, 2495, 547, 519, 1292, 8231, 540, 519, 4845, 1110, 531, 13450, 616, 3006, 5219, 547, 607, 1110, 531, 25581, 13450, 1317, 789, 948, 824, 13450, 269, 3525, 531, 2453, 610, 10859, 1110, 1023, 616, 1031, 547, 2769, 519, 1482, 1919, 607, 1110, 1023, 855, 616, 513, 4999, 540, 25581, 13450, 543, 519, 840, 6570, 547, 269, 3525, 531, 13450, 1592, 538, 519, 7005, 1893, 563, 1607, 1383, 3096, 519, 1110, 531, 8231, 1058, 1058, 568, 1031, 547, 2769, 5796, 827, 24146, 9491, 1716, 5661, 269, 5213, 512, 5855, 1775, 786, 581, 1934, 269, 1548, 568, 513, 1110, 531, 8231, 563, 2791, 1590, 3314, 602, 1110, 531, 13450, 616, 4553, 676, 606, 31208, 1438, 855, 1510, 519, 2262, 547, 269, 3525, 531, 13450, 1592, 540, 1110, 531, 13450, 269, 5213, 512, 3085, 512, 723, 547, 563, 14300, 616, 10479, 17185, 3668, 540, 13766, 7872, 2702, 29611, 5796, 543, 5506, 269, 31727, 7872, 10479, 610, 17185, 269, 6201, 540, 1110, 531, 13450, 1383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2690, 19536, 1733, 846, 4518, 594, 5620, 700, 3437, 892, 769, 11264, 269, 16362, 540, 13898, 2073, 4828, 2073, 20603, 476, 13040, 274, 9293, 1923, 476, 278, 9664, 269, 7790, 288, 16797, 8074, 6969, 1411, 10670, 21261, 894, 3594, 616, 849, 4122, 1634, 607, 10388, 3594, 1547, 1717, 267, 972, 616, 930, 1547, 3604, 1063, 519, 2360, 267, 1079, 1256, 952, 789, 2461, 4122, 2808, 547, 581, 519, 1482, 269, 9410, 3751, 2473, 781, 674, 697, 667, 9506, 11873, 256, 29480, 3594, 616, 2110, 267, 1472, 2947, 547, 3670, 9433, 563, 5445, 2356, 1445, 593, 4828, 8055, 476, 2735, 275, 267, 707, 2427, 609, 12212, 835, 5037, 13991, 547, 519, 15852, 2427, 269, 9410, 2473, 781, 674, 697, 667, 9506, 9406, 11873, 256, 29480, 3594, 1445, 811, 593, 519, 4664, 540, 519, 5467, 269, 21261, 894, 3594, 616, 2356, 3476, 538, 936, 13067, 26557, 4828, 267, 3259, 267, 8151, 689, 607, 2370, 607, 2947, 9433, 269, 10390, 2073, 1546, 8117, 11549, 4548, 2073, 4828, 476, 279, 8287, 9293, 1923, 476, 275, 9664, 269, 476, 32146, 14424, 543, 25037, 4828, 476, 274, 1548, 568, 6476, 286, 1548, 568, 4334, 286, 1677, 5635, 1797, 547, 1448, 856, 10486, 543, 547, 4334, 1797, 547, 1547, 13162, 12789, 1656, 2473, 781, 674, 697, 634, 6406, 256, 1448, 938, 3604, 269, 28636, 8249, 4886, 4828, 256, 1879, 596, 5635, 610, 4334, 267, 596, 991, 547, 2097, 547, 930, 3932, 269, 13162, 12789, 1656, 29346, 2473, 781, 674, 697, 667, 9506, 256, 898, 779, 711, 2614, 547, 2161, 968, 4322, 1079, 1919, 616, 2147, 892, 610, 968, 5445, 616, 1114, 1848, 2659, 5467, 786, 581, 6998, 968, 3383, 1018, 286, 1548, 779, 707, 1448, 9495, 670, 6493, 585, 936, 4828, 1603, 513, 5635, 270, 4186, 2858, 1557, 2433, 476, 272, 269, 23423, 707, 1888, 269, 1879, 596, 2328, 513, 6476, 610, 4334, 1557, 2073, 596, 1522, 1589, 602, 519, 563, 11795, 2397, 2073, 4828, 2073, 22054, 476, 2568, 280, 9293, 1923, 476, 274, 9664, 269, 513, 330, 6447, 476, 273, 2001, 564, 1714, 1557, 1605, 16562, 10264, 278, 1729, 544, 275, 513, 330, 13700, 1547, 649, 554, 11445, 476, 274, 7356, 586, 321, 342, 276, 2073, 513, 274, 6447, 552, 327, 1119, 321, 1547, 513, 19241, 321, 740, 552, 327, 586, 320, 15922, 276, 1303, 320, 1547, 530, 1695, 1547, 9410, 13162, 12789, 1656, 667, 9506, 11873, 256, 632, 327, 544, 275, 1726, 273, 320, 1547, 512, 274, 600, 5979, 1531, 320, 1714, 10085, 1993, 536, 1729, 274, 14150, 476, 276, 1023, 1547, 1303, 334, 536, 339, 330, 9071, 7431, 905, 1714, 544, 613, 476, 274, 526, 14150, 1547, 649, 737, 6767, 554, 339, 276, 338, 549, 737, 614, 8940, 269, 13231, 2096, 1712, 2593, 15955, 5851, 15955, 2657, 15955, 6925, 3367, 713, 2852, 1557, 543, 936, 476, 5197, 1822, 271, 1866, 899, 621, 1631, 269, 6201, 2986, 4317, 11120, 10949, 256, 1547, 11773, 568, 711, 513, 10516, 267, 621, 1058, 581, 2182, 547, 3035, 543, 621, 6927, 875, 621, 568, 12913, 269, 5131, 1967, 10749, 543, 14430, 910, 269, 4828, 2073, 10749, 2073, 23299, 476, 27944, 9293, 1923, 476, 275, 9664, 269, 2123, 2239, 1557, 1547, 901, 7084, 729, 835, 540, 1390, 8897, 547, 803, 269, 594, 2893, 1524, 543, 5612, 3357, 909, 609, 606, 2856, 10704, 593, 513, 3965, 1547, 9410, 13162, 3751, 12789, 1656, 29346, 667, 9506, 634, 6406, 9406, 256, 610, 1995, 269, 4495, 594, 22942, 539, 602, 1995, 267, 594, 3459, 519, 23730, 1184, 267, 4553, 676, 513, 11315, 8908, 267, 543, 1287, 513, 4396, 3803, 8908, 269, 634, 1152, 6560, 5949, 950, 594, 3459, 3843, 547, 4228, 519, 2110, 2239, 883, 513, 2407, 3259, 1557, 2073, 607, 2838, 269, 15474, 256, 2991, 513, 9645, 2179, 540, 942, 12394, 547, 17408, 752, 543, 4228, 593, 519, 1101, 1557, 2073, 594, 6368, 6956, 269, 4828, 2073, 10749, 2073, 7433, 476, 16928, 279, 9293, 1923, 476, 275, 9664, 563, 275, 17778, 547, 13162, 3751, 29346, 667, 9506, 519, 6406, 9406, 267, 606, 13229, 18623, 1222, 4828, 15380, 6340, 267, 519, 14172, 3594, 799, 1053, 2490, 538, 28636, 540, 5274, 4886, 267, 616, 267, 1134, 267, 547, 2322, 621, 1547, 7646, 569, 267, 711, 602, 1434, 269, 13162, 3751, 12789, 1656, 29346, 634, 6406, 11873, 256, 594, 6415, 2469, 547, 2489, 1125, 267, 855, 596, 1058, 917, 713, 269, 1358, 2811, 3335, 19309, 267, 896, 16467, 539, 1510, 6190, 3877, 267, 543, 1018, 729, 519, 2014, 540, 519, 7485, 2006, 10880, 286, 1360, 10002, 619, 24070, 269, 13162, 2473, 781, 674, 697, 256, 5457, 267, 519, 14172, 1557, 568, 513, 4062, 540, 30373, 269, 634, 1004, 17265, 707, 1557, 786, 581, 2469, 998, 513, 19619, 540, 3156, 267, 543, 596, 991, 547, 10646, 3054, 269, 1411, 991, 547, 1118, 519, 729, 519, 3056, 2014, 7485, 2006, 267, 5467, 1416, 269, 2296, 25082, 8874, 2073, 4828, 2073, 10749, 476, 13670, 278, 9293, 1923, 476, 275, 9664, 269, 7790, 16240, 10749, 11408, 2253, 609, 606, 1557, 1544, 269, 1411, 786, 1265, 602, 713, 2731, 2337, 547, 1418, 1047, 707, 4555, 269, 901, 1058, 1547, 9410, 13162, 3751, 2473, 781, 674, 697, 634, 6406, 9406, 256, 1331, 707, 3355, 5114, 547, 543, 11096, 2684, 625, 540, 5274, 8249, 267, 519, 1557, 2140, 267, 707, 2596, 2093, 543, 4555, 543, 930, 24185, 596, 1616, 547, 946, 563, 2791, 949, 1265, 602, 596, 798, 711, 6529, 4625, 547, 9410, 29346, 9406, 267, 707, 1544, 543, 713, 568, 15502, 267, 607, 519, 811, 596, 1589, 827, 606, 1557, 707, 2093, 786, 11457, 543, 1689, 269, 1411, 1058, 267, 2705, 267, 723, 4646, 707, 2093, 543, 8369, 1354, 596, 1376, 1603, 269, 769, 4058, 707, 1557, 269, 11879, 3206, 2073, 4828, 2073, 10749, 476, 11793, 273, 9293, 1923, 476, 274, 9664, 269, 9433, 543, 849, 814, 513, 1978, 10578, 9029, 910, 621, 513, 709, 4513, 519, 540, 1514, 267, 5467, 781, 7279, 543, 791, 1564, 1864, 547, 1224, 2417, 269, 634, 1101, 4845, 267, 2705, 267, 1223, 1547, 3362, 723, 1044, 12628, 910, 519, 2034, 4845, 1131, 1118, 513, 811, 8903, 4367, 547, 519, 1557, 1547, 24225, 476, 273, 3371, 519, 13162, 12789, 543, 519, 6406, 267, 5856, 10953, 593, 519, 8142, 540, 4763, 269, 8074, 602, 972, 568, 606, 1018, 3056, 10880, 286, 8561, 593, 3344, 602, 616, 1271, 547, 606, 32233, 1576, 630, 17641, 10763, 1983, 267, 2979, 1983, 267, 960, 1995, 1040, 634, 5856, 2982, 3927, 602, 1352, 269, 18696, 6656, 2073, 4828, 2073, 10749, 476, 279, 5655, 9293, 1923, 476, 274, 9664, 269, 1250, 3594, 941, 827, 28388, 513, 3184, 689, 513, 1433, 610, 1603, 513, 2110, 1650, 269, 1703, 729, 1100, 1305, 3259, 621, 1185, 547, 581, 543, 972, 941, 711, 1022, 1547, 25727, 547, 1445, 593, 971, 607, 547, 1445, 593, 13162, 2473, 781, 674, 697, 667, 9506, 519, 6406, 9406, 11873, 267, 513, 2178, 4367, 610, 547, 1445, 593, 1373, 6896, 950, 1603, 563, 763, 3594, 602, 594, 5206, 538, 1164, 1153, 941, 1175, 585, 4828, 8055, 538, 634, 23397, 476, 2735, 275, 676, 6723, 513, 2656, 3446, 610, 547, 948, 856, 3751, 12789, 543, 29346, 2473, 781, 674, 697, 667, 9506, 519, 6406, 267, 938, 3446, 269, 594, 1705, 711, 2731, 723, 602, 1454, 1995, 538, 1603, 3594, 1547, 1656, 11096, 2684, 625, 2986, 5274, 256, 769, 519, 13162, 12789, 543, 29346, 11873, 267, 2250, 19496, 594, 723, 6738, 811, 607, 513, 5856, 982, 594, 723, 538, 13067, 26557, 4828, 267, 519, 2250, 1296, 269, 3733, 3594, 723, 269, 14568, 2073, 4828, 2073, 10749, 476, 15221, 280, 9293, 1923, 476, 275, 9664, 269, 1323, 4828, 568, 513, 4062, 540, 13162, 29346, 2473, 781, 674, 697, 667, 9506, 267, 1603, 799, 568, 1419, 2854, 689, 606, 2278, 781, 2123, 1448, 540, 2070, 269, 10749, 666, 2874, 540, 513, 1297, 540, 1547, 15474, 1656, 20134, 2986, 15850, 256, 2609, 267, 1519, 281, 5339, 9880, 267, 2797, 8915, 657, 267, 4121, 7440, 267, 7422, 540, 3232, 1272, 267, 973, 565, 27928, 267, 543, 18759, 540, 519, 2278, 269, 634, 4214, 540, 606, 1557, 568, 22394, 267, 20718, 609, 1346, 540, 606, 2376, 543, 3751, 12789, 543, 2473, 781, 674, 697, 11873, 513, 2110, 1650, 269, 20290, 782, 2413, 3594, 616, 2854, 538, 18340, 267, 855, 1568, 538, 14235, 723, 1044, 29805, 3594, 630, 324, 3052, 269, 12138, 15352, 781, 1323, 4828, 593, 269, 12138, 15352, 2073, 4828, 2073, 10749, 476, 278, 5379, 9293, 1923, 476, 274, 9664, 269, 476, 9340, 274, 270, 15253, 563, 272, 5988, 476, 1321, 267, 476, 1001, 276, 594, 670, 279, 570, 868, 15516, 7714, 281, 1215, 7956, 532, 1772, 654, 516, 9535, 3776, 5678, 5811, 968, 5445, 616, 21006, 621, 281, 10788, 1645, 938, 18685, 282, 5260, 1645, 1547, 938, 5220, 282, 986, 4771, 938, 6863, 269, 6201, 256, 1656, 789, 1590, 581, 11074, 1848, 901, 10839, 689, 9410, 13162, 3751, 12789, 543, 2473, 781, 674, 697, 9406, 11873, 267, 3627, 9966, 874, 24075, 262, 1557, 968, 296, 670, 279, 570, 868, 15516, 7714, 281, 1215, 7956, 532, 1772, 654, 516, 9535, 3776, 5678, 892, 5693, 2982, 1141, 646, 6763, 593, 519, 1641, 540, 875, 968, 23753, 1562, 892, 616, 8297, 1456, 938, 2296, 1893, 676, 1018, 729, 519, 2014, 7485, 2006, 10880, 286, 14841, 11868, 513, 2603, 540, 938, 1913, 269, 1215, 1004, 267, 811, 4481, 519, 3751, 519, 6406, 267, 1762, 3283, 616, 1373, 27823, 609, 269, 9218, 2073, 2296, 1893, 2073, 4828, 476, 14096, 271, 9293, 1923, 476, 275, 9664, 269, 5800, 12859, 14506, 4828, 634, 4098, 540, 1806, 267, 1164, 1153, 594, 729, 513, 6079, 538, 2296, 1362, 563, 296, 729, 711, 3226, 1434, 693, 2296, 543, 1185, 22027, 1547, 593, 9410, 13162, 29346, 519, 6406, 9406, 11873, 267, 2436, 594, 1058, 2307, 519, 4116, 547, 1847, 803, 1524, 547, 519, 2852, 3341, 1362, 269, 6201, 11120, 10949, 256, 3807, 899, 513, 6079, 267, 594, 729, 513, 10750, 2370, 2875, 9361, 538, 606, 26549, 1362, 269, 13162, 3751, 12789, 1656, 29346, 2473, 781, 674, 697, 667, 9506, 634, 6406, 256, 9320, 689, 27461, 538, 9954, 267, 2063, 1032, 779, 2296, 1362, 267, 594, 729, 4628, 3222, 1250, 1603, 729, 711, 4376, 2027, 269, 2334, 729, 1018, 594, 2219, 1317, 594, 3379, 8885, 547, 1250, 2828, 267, 855, 585, 2386, 267, 835, 3364, 594, 729, 2318, 729, 602, 269, 14568, 2073, 4828, 2073, 10749, 476, 10482, 277, 9293, 1923, 476, 274, 9664, 269, 7790, 19478, 5675, 4828, 5675, 12333, 19478, 5675, 13229, 12333, 2506, 5661, 616, 519, 1267, 540, 3751, 2473, 781, 674, 697, 9406, 267, 1434, 3206, 543, 6297, 1547, 4058, 6100, 17778, 281, 522, 12020, 522, 11978, 532, 522, 4860, 2358, 522, 3798, 1746, 12830, 2934, 16390, 540, 13229, 12333, 19478, 5675, 2608, 17445, 268, 763, 5467, 1058, 581, 2111, 547, 1174, 519, 5048, 538, 540, 1514, 1795, 10949, 267, 519, 1101, 2542, 8160, 6756, 532, 1058, 581, 2312, 543, 13162, 3751, 29346, 9406, 11873, 2786, 269, 2608, 269, 11120, 10949, 256, 3938, 17940, 268, 2142, 16614, 28872, 565, 924, 267, 516, 32208, 543, 13162, 12789, 543, 9406, 11873, 946, 22510, 1913, 5861, 712, 17940, 5932, 1434, 15884, 267, 3559, 1186, 538, 1818, 1434, 1894, 269, 4828, 2073, 7665, 9874, 543, 6922, 320, 2073, 634, 674, 732, 6202, 476, 14690, 277, 9293, 1923, 476, 2420, 9664, 269, 21261, 5811, 4828, 17628, 476, 21497, 5239, 476, 1240, 267, 476, 1001, 271, 476, 275, 269, 276, 2798, 594, 10150, 2542, 713, 1957, 1360, 1454, 269, 898, 1500, 5140, 2798, 827, 1547, 6644, 543, 4250, 269, 1717, 267, 621, 4810, 930, 2042, 607, 7074, 538, 519, 1257, 563, 9827, 267, 621, 1705, 711, 946, 1022, 3544, 1382, 547, 1489, 519, 2990, 4843, 538, 519, 1557, 543, 31030, 9003, 593, 2123, 6644, 543, 10530, 3144, 2047, 689, 519, 3594, 1547, 715, 823, 2816, 256, 21261, 5811, 4828, 5890, 7675, 707, 6644, 568, 519, 5748, 540, 606, 5140, 1557, 1547, 31327, 29553, 2006, 22367, 651, 26834, 2659, 6644, 269, 17520, 2073, 10748, 1466, 2073, 27801, 476, 279, 3374, 9293, 1923, 476, 274, 9664, 269, 4828, 4886, 4804, 12243, 645, 2910, 300, 270, 15094, 5181, 476, 1015, 267, 476, 1001, 271, 634, 10700, 1967, 610, 5821, 540, 513, 1957, 949, 1419, 581, 14360, 1394, 547, 1547, 519, 4058, 5933, 269, 1548, 1522, 596, 798, 547, 13162, 519, 6406, 9406, 11873, 267, 1683, 3054, 609, 519, 1655, 4316, 547, 8011, 950, 1603, 938, 2852, 4574, 286, 12020, 568, 519, 543, 11096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1975, 775, 267, 661, 269, 808, 269, 1299, 6833, 787, 267, 623, 269, 654, 269, 476, 1220, 278, 31592, 13502, 540, 1699, 5108, 543, 3846, 334, 29835, 538, 513, 2964, 1227, 7142, 24360, 2095, 269, 4284, 269, 4860, 269, 661, 476, 4037, 630, 273, 1070, 476, 271, 2918, 24062, 563, 268, 18409, 731, 1299, 717, 749, 2006, 630, 4198, 275, 264, 18409, 731, 267, 661, 269, 1299, 717, 749, 2006, 267, 670, 269, 476, 4198, 275, 13067, 15119, 13552, 657, 543, 6833, 14111, 13804, 564, 1143, 269, 5845, 269, 3690, 269, 681, 269, 17502, 269, 700, 1180, 269, 589, 476, 26316, 267, 476, 22659, 1700, 30116, 563, 268, 21582, 1782, 630, 4350, 274, 264, 21582, 1782, 267, 570, 269, 717, 269, 476, 4350, 274, 634, 6419, 2361, 540, 10877, 26105, 269, 631, 24520, 3008, 476, 11463, 267, 476, 4375, 1700, 4366, 563, 268, 667, 644, 2917, 1299, 6276, 630, 2735, 280, 264, 667, 644, 2917, 267, 631, 269, 700, 269, 1299, 6276, 267, 681, 269, 654, 269, 476, 2735, 280, 5384, 17466, 10252, 26517, 3846, 657, 609, 19335, 8928, 269, 28540, 269, 681, 269, 17502, 269, 700, 1180, 269, 589, 476, 28883, 267, 476, 2412, 278, 1700, 275, 3066, 563, 268, 717, 841, 4345, 1696, 620, 269, 630, 1220, 272, 264, 717, 841, 4345, 267, 589, 1421, 700, 1408, 9476, 529, 267, 744, 1421, 15107, 659, 529, 267, 661, 1421, 1546, 618, 685, 5271, 267, 590, 1421, 595, 28875, 976, 267, 589, 1421, 717, 8538, 996, 267, 717, 1421, 717, 1495, 5300, 267, 570, 1421, 853, 1030, 8643, 267, 674, 1421, 2441, 523, 267, 631, 269, 1299, 4024, 267, 717, 269, 476, 1220, 272, 25080, 2361, 25294, 538, 519, 15519, 320, 3846, 334, 4603, 269, 4284, 269, 4860, 269, 32731, 269, 476, 10436, 267, 476, 23714, 275, 1700, 23714, 278, 563, 268, 717, 625, 1815, 651, 1696, 620, 269, 630, 1001, 273, 264, 717, 625, 1815, 651, 267, 589, 1421, 715, 648, 267, 595, 1421, 853, 1030, 8643, 267, 674, 1421, 717, 8538, 996, 267, 717, 1421, 700, 2946, 528, 520, 267, 808, 1421, 4173, 516, 2006, 267, 654, 1421, 700, 3291, 839, 267, 674, 269, 1299, 2871, 1069, 1180, 267, 808, 11607, 299, 269, 476, 1001, 273, 21478, 540, 1164, 12656, 1889, 1464, 25923, 538, 606, 7852, 2096, 13240, 2203, 540, 519, 27974, 541, 5995, 3846, 334, 4603, 269, 1715, 808, 269, 4284, 269, 476, 1691, 630, 276, 1070, 476, 4962, 274, 22650, 563, 268, 717, 1170, 5424, 1696, 620, 269, 630, 1220, 279, 264, 717, 1170, 5424, 267, 595, 1421, 667, 768, 344, 267, 661, 269, 1299, 674, 879, 557, 267, 590, 269, 476, 1220, 279, 1635, 10139, 532, 21582, 1782, 779, 14497, 538, 31196, 2096, 13240, 29079, 13552, 657, 269, 4284, 269, 4860, 269, 32731, 269, 476, 6200, 630, 1691, 1070, 476, 13893, 2004, 273, 563, 268, 717, 889, 321, 1231, 630, 3192, 274, 264, 717, 889, 321, 1231, 267, 667, 269, 476, 3192, 274, 31592, 10298, 540, 519, 20943, 26517, 13552, 334, 9046, 269, 5845, 269, 3690, 269, 681, 269, 17502, 269, 589, 476, 28638, 267, 476, 5392, 274, 1700, 276, 2641, 563, 268, 2871, 969, 11035, 1299, 645, 5300, 332, 749, 630, 1001, 273, 264, 2871, 969, 11035, 267, 595, 269, 1299, 645, 5300, 332, 749, 267, 715, 269, 670, 269, 476, 1001, 273, 8682, 15926, 11962, 13502, 540, 513, 13153, 918, 5451, 3944, 17505, 1826, 3846, 334, 538, 513, 20085, 6389, 609, 17285, 6821, 269, 4284, 269, 4860, 269, 661, 476, 5908, 630, 275, 1070, 476, 271, 5379, 28766, 563, 268, 4591, 1889, 630, 1220, 274, 264, 4591, 1889, 267, 681, 269, 476, 1220, 274, 19630, 2213, 4949, 6053, 1606, 2096, 13240, 10252, 26517, 3846, 657, 269, 4284, 269, 3047, 14136, 269, 3955, 269, 476, 9610, 267, 476, 274, 1700, 1556, 563, 268, 918, 9820, 518, 1299, 570, 559, 326, 1676, 630, 1960, 280, 264, 918, 9820, 518, 267, 681, 269, 1299, 570, 559, 326, 1676, 267, 589, 269, 476, 1960, 280, 20943, 26517, 3846, 657, 11303, 676, 513, 19335, 18364, 269, 4284, 269, 4860, 269, 661, 476, 2568, 267, 476, 29848, 280, 1700, 27768, 273, 563, 268, 10609, 531, 345, 990, 1696, 620, 269, 630, 1001, 273, 264, 10609, 531, 345, 990, 267, 594, 269, 966, 1421, 9466, 267, 645, 269, 623, 1421, 18087, 17839, 267, 661, 269, 808, 1421, 15576, 345, 267, 715, 1421, 623, 1794, 4149, 1245, 534, 267, 595, 1421, 31670, 321, 7568, 807, 267, 918, 1421, 1975, 775, 267, 661, 269, 808, 269, 1299, 11206, 267, 595, 269, 645, 269, 476, 1001, 273, 1763, 626, 633, 543, 7542, 26578, 2914, 718, 11919, 3846, 657, 538, 513, 12106, 269, 4284, 269, 26736, 5733, 476, 866, 630, 1015, 1070, 476, 10441, 26341, 563, 268, 700, 16331, 518, 516, 1696, 620, 269, 630, 1220, 279, 264, 700, 16331, 518, 516, 267, 681, 1421, 715, 648, 267, 595, 1421, 25906, 324, 10098, 267, 589, 1421, 700, 2946, 528, 520, 267, 808, 1421, 2871, 1069, 1180, 267, 808, 11607, 299, 269, 1299, 1773, 684, 1014, 267, 674, 269, 476, 1220, 279, 8177, 540, 791, 25527, 593, 519, 7852, 2096, 13240, 6419, 7154, 538, 519, 966, 16775, 273, 3846, 334, 4603, 269, 4284, 269, 4860, 269, 32731, 269, 476, 6200, 630, 1015, 1070, 476, 10441, 26341, 563, 268, 25795, 2946, 1696, 620, 269, 630, 1220, 274, 264, 25795, 2946, 267, 700, 1421, 26990, 340, 23176, 267, 808, 1421, 5096, 807, 644, 267, 674, 269, 1299, 700, 2946, 528, 520, 267, 808, 269, 476, 1220, 274, 31592, 1353, 540, 24267, 3846, 334, 1759, 593, 8097, 13153, 918, 5451, 3944, 17505, 1826, 8928, 269, 20195, 269, 4284, 269, 808, 269, 645, 476, 3451, 267, 476, 5379, 280, 1700, 4366, 276, 563, 268, 3933, 577, 14513, 1696, 620, 269, 630, 1220, 278, 264, 3933, 577, 14513, 267, 681, 1421, 7137, 7315, 340, 267, 631, 1421, 25816, 2998, 514, 267, 631, 1421, 631, 537, 4802, 267, 631, 1421, 13095, 1512, 267, 623, 1421, 623, 15586, 267, 808, 11607, 293, 1421, 5292, 330, 267, 681, 1421, 674, 879, 557, 267, 590, 1421, 631, 867, 656, 267, 715, 1421, 623, 2946, 13700, 2946, 5894, 267, 674, 1421, 932, 858, 7596, 601, 267, 589, 1421, 5096, 807, 644, 267, 674, 1421, 14878, 337, 592, 548, 267, 645, 1421, 13937, 21103, 267, 595, 1421, 25795, 2946, 267, 700, 269, 1299, 681, 1511, 2280, 267, 674, 269, 476, 1220, 278, 19087, 540, 513, 6419, 2361, 676, 3846, 334, 2962, 538, 513, 24360, 2095, 540, 5277, 9770, 269, 4284, 269, 4860, 269, 32731, 269, 476, 7176, 630, 275, 1070, 476, 271, 4510, 2004, 273, 563, 268, 26981, 1690, 9874, 1299, 23951, 334, 630, 1960, 272, 264, 26981, 1690, 9874, 267, 570, 269, 1299, 23951, 334, 267, 631, 269, 476, 1960, 272, 20943, 26517, 3846, 657, 2404, 609, 1804, 4336, 5714, 20517, 269, 2983, 19398, 269, 8330, 5268, 903, 269, 29079, 667, 2106, 269, 476, 2568, 267, 476, 10082, 1700, 20385, 563, 268, 715, 1941, 6199, 1696, 620, 269, 630, 1220, 277, 264, 715, 1941, 6199, 267, 631, 269, 667, 1421, 1975, 775, 267, 661, 269, 808, 1421, 918, 754, 4459, 267, 681, 269, 667, 1421, 15243, 5459, 267, 595, 269, 631, 269, 1299, 11206, 267, 595, 269, 645, 269, 476, 1220, 277, 12763, 906, 540, 519, 6419, 2361, 13251, 676, 513, 24360, 2095, 540, 5277, 4496, 269, 4284, 269, 26736, 5733, 476, 1724, 630, 276, 1070, 476, 271, 4649, 3445, 272, 563, 268, 21662, 1696, 620, 269, 630, 1001, 271, 264, 21662, 267, 623, 269, 670, 1421, 3794, 28739, 2742, 1512, 267, 717, 269, 589, 269, 1299, 1849, 2317, 267, 570, 269, 700, 269, 476, 1001, 271, 31592, 11191, 540, 513, 20085, 3846, 334, 9599, 676, 513, 2095, 540, 13153, 918, 5451, 3944, 17505, 1826, 269, 2983, 19398, 269, 8330, 5268, 903, 269, 29079, 667, 2106, 269, 476, 10441, 267, 476, 21709, 1700, 13136, 563, 268, 1975, 775, 1696, 620, 269, 630, 1220, 280, 264, 1975, 775, 267, 661, 269, 808, 1421, 1234, 17458, 267, 918, 269, 1299, 11206, 267, 595, 269, 645, 269, 476, 1220, 280, 589, 1975, 17202, 26736, 2742, 13552, 334, 15331, 269, 8330, 5268, 903, 269, 808, 269, 476, 10384, 267, 476, 30420, 1700, 275, 4281, 563, 268, 26304, 630, 1001, 271, 264, 26304, 267, 590, 269, 476, 1001, 271, 589, 3846, 334, 2203, 585, 7852, 2096, 5471, 686, 4506, 21275, 779, 6419, 2361, 269, 2983, 19398, 269, 1763, 269, 32731, 269, 476, 4391, 267, 476, 26392, 272, 563, 268, 21862, 21672, 630, 2735, 273, 264, 21862, 21672, 267, 667, 269, 808, 269, 476, 2735, 273, 26805, 519, 1875, 14289, 2096, 11496, 540, 513, 19236, 3846, 334, 543, 606, 3498, 547, 21275, 269, 2983, 19398, 269, 8330, 5268, 903, 269, 29079, 667, 2106, 269, 476, 2641, 267, 476, 13647, 1700, 14096, 563, 268, 853, 773, 6921, 6308, 1299, 28228, 28705, 630, 1220, 272, 264, 853, 773, 6921, 6308, 267, 681, 269, 1299, 28228, 28705, 267, 772, 269, 476, 1220, 272, 21885, 17431, 540, 513, 24267, 1079, 8397, 3846, 334, 269, 4284, 269, 12071, 1749, 476, 1724, 630, 274, 1070, 476, 6321, 272, 1700, 276, 5038, 563, 268, 2098, 20810, 2006, 1696, 620, 269, 630, 1001, 272, 264, 2098, 20810, 2006, 267, 667, 269, 590, 1421, 10222, 3570, 267, 590, 269, 589, 269, 1299, 700, 987, 1886, 267, 667, 269, 623, 269, 476, 1001, 272, 4437, 3613, 1464, 538, 24360, 267, 15914, 20085, 21676, 8291, 2095, 269, 4284, 269, 12071, 1749, 476, 2537, 630, 277, 1070, 476, 271, 4792, 10441, 269, 0, 8368, 540, 12937, 454, 16352, 513, 2295, 4323, 267, 607, 594, 666, 1140, 652, 689, 711, 1175, 835, 610, 1175, 1079, 855, 1614, 2123, 2833, 267, 568, 606, 11212, 512, 3931, 1995, 269, 4438, 519, 4323, 267, 952, 596, 7639, 621, 267, 596, 949, 610, 949, 711, 1745, 7920, 9221, 1928, 269, 2991, 519, 4323, 267, 952, 707, 2295, 4887, 568, 8697, 267, 596, 3592, 6157, 786, 1745, 796, 29207, 15344, 9854, 563, 4517, 519, 1919, 596, 1522, 3921, 27274, 798, 547, 948, 707, 2295, 267, 899, 2921, 3165, 3282, 267, 585, 3236, 267, 666, 1118, 519, 1966, 1256, 8338, 563, 5475, 513, 9839, 31105, 267, 4634, 23560, 519, 834, 14738, 774, 532, 257, 6884, 24439, 25198, 1937, 572, 454, 288, 2295, 4323, 568, 606, 954, 8306, 540, 10009, 547, 519, 2295, 269, 1879, 2295, 2281, 616, 27226, 540, 5135, 267, 789, 979, 883, 513, 2186, 540, 30489, 566, 7154, 269, 1879, 519, 8052, 602, 3361, 519, 2295, 4323, 5956, 547, 2736, 909, 543, 741, 5135, 3761, 568, 17468, 267, 972, 949, 581, 513, 1360, 5618, 11808, 540, 2295, 1599, 267, 855, 2295, 2281, 3533, 4043, 547, 834, 4148, 877, 856, 257, 543, 5884, 269, 634, 17005, 5160, 540, 707, 2295, 1568, 936, 5503, 547, 1832, 593, 23028, 1973, 563, 17843, 2694, 540, 519, 2295, 3595, 607, 2106, 11388, 3585, 267, 865, 602, 596, 723, 12150, 2295, 18819, 269, 1809, 602, 781, 711, 8209, 519, 10782, 2009, 6364, 269, 32506, 602, 834, 5632, 916, 257, 707, 2295, 666, 9505, 1524, 10010, 2295, 4887, 2281, 7357, 269, 9839, 4323, 15000, 723, 12777, 5747, 1310, 1818, 2635, 5079, 538, 2732, 543, 9422, 21455, 269, 634, 835, 3364, 602, 1223, 1118, 596, 1732, 568, 952, 11214, 513, 834, 335, 2255, 257, 1223, 581, 4294, 547, 707, 2295, 269, 1656, 602, 568, 4010, 1018, 6565, 1591, 11001, 12213, 752, 29447, 643, 770, 6072, 540, 519, 2160, 540, 4993, 5063, 9307, 666, 581, 2944, 563, 257, 11847, 4202, 257, 547, 519, 9839, 5620, 547, 28546, 769, 5637, 26277, 558, 1227, 543, 5082, 29182, 454, 10666, 3368, 540, 519, 2281, 538, 519, 2295, 1810, 1405, 2965, 6802, 1973, 269, 595, 6817, 4017, 549, 4565, 6814, 267, 891, 2281, 1599, 607, 513, 2186, 540, 15429, 6539, 585, 519, 2295, 950, 621, 568, 13676, 269, 1358, 849, 1106, 513, 3760, 593, 799, 519, 1973, 1790, 18804, 2281, 1634, 607, 6315, 3912, 14231, 666, 1332, 269, 898, 568, 519, 6315, 3912, 14231, 630, 10193, 1634, 607, 26961, 328, 14231, 264, 602, 2965, 798, 519, 960, 540, 21883, 1973, 563, 2005, 3884, 1405, 2614, 547, 723, 1007, 6315, 3912, 14231, 269, 1452, 2324, 2281, 540, 519, 2295, 723, 547, 6802, 538, 11733, 267, 519, 2281, 693, 519, 1283, 540, 519, 2295, 267, 519, 693, 6319, 267, 20590, 1354, 519, 2281, 693, 519, 5377, 540, 519, 2295, 267, 519, 28602, 956, 267, 519, 4806, 18110, 538, 519, 1318, 5311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 26298, 5829, 12531, 912, 268, 11192, 4887, 4320, 3248, 268, 2561, 754, 7781, 22403, 4887, 2527, 630, 3008, 300, 11085, 1916, 268, 26298, 2298, 6724, 912, 268, 769, 3410, 31100, 28539, 846, 5160, 630, 8379, 2969, 264, 693, 4571, 6253, 662, 1377, 3248, 268, 11192, 3444, 22891, 1858, 540, 3308, 1242, 6091, 693, 519, 700, 274, 1377, 3248, 268, 11192, 3444, 22891, 1858, 540, 533, 810, 553, 4887, 693, 519, 700, 275, 1377, 563, 268, 19848, 6248, 543, 824, 3800, 912, 268, 21111, 4463, 3248, 268, 8562, 636, 325, 3720, 630, 629, 12645, 267, 25427, 267, 28419, 11850, 268, 20506, 3170, 6824, 563, 28122, 543, 7460, 303, 281, 2591, 543, 2104, 454, 2304, 2810, 1297, 540, 17053, 13753, 7152, 4277, 2164, 585, 2898, 23073, 18909, 585, 4887, 543, 3170, 6268, 269, 6684, 267, 519, 1888, 540, 4887, 2298, 543, 7460, 303, 4879, 609, 18909, 814, 6591, 2810, 3007, 267, 607, 3254, 676, 513, 23060, 1297, 540, 12326, 2519, 593, 3170, 4320, 4879, 538, 18909, 538, 519, 2063, 476, 276, 1296, 630, 2420, 1916, 7712, 593, 835, 1688, 267, 19182, 568, 4570, 267, 6325, 543, 10063, 24862, 585, 519, 4879, 540, 4887, 2298, 543, 7274, 267, 543, 593, 519, 824, 1688, 267, 1101, 17053, 2090, 723, 3254, 9621, 2164, 585, 3498, 538, 15324, 4915, 543, 2068, 630, 528, 3797, 264, 5464, 267, 519, 942, 568, 1631, 547, 15407, 519, 4480, 593, 513, 4791, 6296, 1377, 563, 2026, 6093, 585, 3209, 2553, 267, 1896, 2959, 540, 9836, 6959, 543, 7965, 949, 581, 4101, 269, 3689, 267, 607, 5892, 4330, 267, 1239, 2298, 543, 15418, 616, 2556, 585, 3818, 7266, 518, 6476, 269, 15240, 656, 658, 3604, 538, 1239, 11601, 949, 581, 22621, 2022, 3620, 665, 538, 4081, 5468, 855, 616, 1271, 7687, 547, 6338, 1346, 2553, 538, 6296, 4791, 2259, 269, 898, 568, 4061, 1271, 547, 3715, 543, 1683, 19353, 543, 1875, 14092, 27854, 9196, 4966, 609, 29708, 2418, 540, 7460, 303, 3800, 267, 1808, 585, 14797, 267, 2085, 543, 3023, 543, 609, 3617, 954, 1606, 4754, 1676, 4086, 1464, 269, 5015, 267, 13380, 2022, 3620, 665, 6268, 676, 12747, 26409, 3301, 786, 581, 1271, 547, 10018, 1239, 14496, 269, 2060, 2463, 547, 11571, 4086, 1464, 267, 1114, 2516, 723, 1500, 3646, 538, 519, 2487, 2250, 547, 6542, 5140, 3818, 7266, 518, 10063, 322, 2225, 607, 1134, 607, 10063, 322, 2225, 1063, 1114, 2361, 9342, 269, 2201, 835, 1688, 267, 11571, 7014, 11745, 1436, 543, 3593, 2866, 949, 581, 2629, 547, 8236, 11807, 10063, 322, 2225, 540, 16924, 12290, 11050, 3800, 630, 1911, 1040, 1717, 267, 10859, 22052, 558, 730, 4879, 267, 799, 786, 581, 540, 2810, 2956, 267, 3340, 1256, 811, 10427, 2994, 547, 1450, 585, 3818, 1606, 4754, 1676, 543, 910, 22487, 6476, 269, 20913, 26856, 1696, 620, 269, 4061, 6542, 606, 4977, 543, 10063, 24862, 26409, 1505, 1759, 593, 1875, 268, 3419, 573, 3818, 27408, 20393, 14261, 540, 4887, 12531, 630, 6200, 1070, 799, 568, 849, 1031, 676, 513, 1804, 29449, 7463, 538, 1560, 26654, 4879, 563, 5194, 4161, 568, 519, 5458, 2179, 540, 18909, 1239, 829, 2898, 23073, 11571, 269, 589, 6093, 2898, 23073, 18909, 7472, 476, 6110, 547, 476, 4335, 2592, 829, 7768, 3126, 630, 324, 3052, 1421, 538, 25686, 267, 10353, 25686, 267, 3170, 26209, 268, 610, 1216, 26209, 21553, 1137, 1040, 9453, 7347, 543, 3728, 12747, 26409, 3435, 267, 7460, 303, 4879, 609, 2898, 23073, 18909, 786, 581, 1360, 942, 4616, 909, 547, 1896, 3108, 829, 3461, 267, 799, 568, 2484, 811, 982, 606, 3328, 4791, 10237, 6048, 568, 4847, 547, 6108, 585, 835, 6514, 269, 10201, 2510, 547, 2898, 23073, 3435, 949, 267, 2705, 267, 1445, 593, 519, 7634, 540, 1239, 10063, 322, 2225, 602, 568, 6508, 689, 11347, 2582, 268, 610, 1906, 1606, 331, 823, 10126, 725, 269, 634, 1034, 11347, 2582, 20105, 3148, 540, 2898, 23073, 735, 25902, 568, 5156, 547, 581, 593, 513, 561, 29856, 12636, 1377, 269, 2859, 4481, 267, 5576, 933, 12688, 1696, 620, 269, 2303, 519, 1377, 540, 519, 3791, 561, 29856, 26485, 607, 19993, 538, 2474, 540, 10063, 322, 2225, 543, 9756, 609, 1560, 735, 25902, 630, 9083, 1040, 1306, 5018, 1354, 267, 11338, 4485, 949, 581, 513, 16048, 4640, 585, 513, 11658, 8552, 540, 4791, 4247, 267, 552, 3052, 1421, 3355, 26878, 13449, 807, 4879, 538, 606, 2309, 2065, 9584, 4259, 269, 1717, 267, 519, 2460, 540, 4389, 6111, 1590, 581, 2808, 5402, 585, 519, 5354, 540, 4791, 7569, 269, 4107, 11932, 267, 811, 2487, 2090, 723, 8810, 519, 17071, 640, 540, 2582, 1606, 331, 823, 4480, 3379, 547, 2898, 23073, 26654, 4879, 267, 543, 713, 1505, 2417, 3467, 19330, 519, 2838, 10063, 322, 2225, 585, 552, 3052, 1421, 19976, 2090, 267, 607, 7152, 676, 2487, 11632, 19985, 543, 811, 5063, 19182, 5829, 13753, 630, 9818, 267, 10441, 1040, 6271, 4640, 538, 12570, 891, 1804, 1239, 5666, 568, 519, 13345, 540, 13128, 14261, 543, 26409, 6620, 269, 23883, 1369, 519, 2063, 1906, 1296, 543, 8375, 609, 519, 946, 540, 5841, 4987, 538, 2234, 5735, 267, 1896, 2516, 723, 1500, 3646, 538, 4152, 1114, 26409, 2035, 585, 2898, 23073, 9196, 267, 4887, 543, 3170, 26654, 4879, 269, 2755, 519, 1101, 2090, 6140, 5059, 593, 11632, 2592, 267, 606, 2810, 1560, 540, 3332, 814, 5063, 5059, 593, 12747, 26409, 540, 1114, 4525, 543, 585, 1114, 10237, 11043, 7449, 2133, 2906, 538, 19182, 543, 11632, 607, 1134, 269, 589, 5063, 3370, 2689, 2376, 6257, 476, 2412, 279, 3769, 3312, 4574, 602, 6322, 547, 8850, 10126, 5160, 630, 736, 1040, 1280, 519, 30273, 1062, 267, 667, 823, 16726, 14170, 1472, 476, 271, 269, 280, 616, 4867, 1373, 6913, 630, 736, 1040, 2755, 1034, 540, 891, 3156, 616, 3908, 547, 1382, 2055, 267, 621, 949, 581, 4397, 267, 602, 849, 1813, 547, 9283, 540, 6791, 1851, 519, 10237, 11043, 2146, 3823, 6388, 540, 3684, 1565, 891, 6620, 786, 581, 851, 540, 4791, 6296, 4166, 563, 763, 11601, 3294, 814, 1044, 2356, 7318, 538, 3833, 24267, 5095, 602, 941, 2111, 4543, 547, 10536, 16950, 1652, 9196, 630, 528, 3116, 16934, 689, 1082, 2090, 1040, 1717, 267, 2898, 23073, 4887, 4879, 568, 2356, 5340, 1210, 513, 5888, 540, 1082, 4130, 11601, 588, 2931, 269, 2311, 519, 2157, 540, 519, 17657, 267, 891, 3126, 616, 2356, 9715, 7900, 7362, 268, 9302, 267, 711, 25864, 585, 909, 547, 476, 736, 7643, 269, 901, 568, 711, 1152, 4101, 538, 11361, 2550, 1813, 547, 741, 4389, 6198, 5761, 19206, 855, 949, 2611, 7543, 585, 14021, 1416, 1770, 2550, 267, 513, 20165, 1141, 7460, 303, 814, 1713, 6286, 593, 741, 9422, 3797, 543, 6364, 630, 4817, 1040, 4634, 11632, 814, 1044, 11567, 17077, 569, 585, 5464, 540, 9422, 4567, 630, 10755, 1916, 7661, 267, 519, 1292, 4161, 3788, 538, 519, 7664, 540, 3239, 2861, 2164, 269, 590, 2117, 13449, 807, 568, 9672, 676, 9196, 4681, 282, 2705, 267, 2068, 10335, 568, 1759, 593, 2168, 6514, 543, 4255, 602, 9305, 547, 2550, 685, 2168, 2534, 269, 4595, 29708, 2418, 949, 4268, 2429, 1114, 5095, 543, 1851, 1585, 2010, 540, 1560, 11156, 630, 11463, 1070, 519, 7664, 540, 5266, 1970, 610, 1164, 3800, 540, 4887, 2298, 610, 12531, 568, 2352, 543, 3340, 4656, 1851, 10368, 10237, 5505, 269, 20031, 1155, 946, 540, 2619, 11043, 9832, 949, 2014, 7301, 25698, 21904, 609, 782, 922, 4539, 267, 552, 3052, 1421, 1942, 25673, 3461, 11678, 543, 10462, 540, 2635, 2043, 563, 3682, 1597, 766, 543, 25398, 5623, 281, 901, 2376, 729, 20827, 676, 519, 2871, 652, 3798, 6002, 630, 294, 328, 2224, 28500, 717, 1872, 331, 1408, 14741, 543, 19499, 1729, 645, 9579, 665, 14024, 264, 585, 519, 2027, 3390, 968, 28694, 23531, 24919, 892, 3370, 538, 26592, 24919, 538, 6925, 543, 17889, 269, 634, 2376, 729, 2366, 585, 5007, 9263, 2689, 6896, 676, 519, 2871, 652, 3798, 6002, 543, 519, 21107, 5604, 563, 18183, 26555, 540, 9314, 281, 2353, 4589, 723, 6192, 519, 594, 13967, 297, 292, 7833, 23930, 1106, 630, 19989, 693, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 13975, 4391, 270, 336, 15501, 269, 1708, 271, 269, 6349, 269, 6187, 1040, 634, 2027, 3390, 968, 28694, 23531, 24919, 892, 729, 20827, 676, 519, 21107, 5604, 1510, 1022, 7616, 610, 13384, 11208, 269, 717, 294, 6039, 607, 519, 10002, 4660, 2871, 652, 15503, 540, 519, 2027, 3390, 543, 5713, 607, 606, 10002, 4660, 21107, 4604, 4759, 540, 26592, 24919, 538, 6925, 543, 17889, 269, 674, 291, 294, 5359, 2123, 12375, 689, 13961, 655, 839, 267, 1875, 1922, 514, 2574, 1489, 689, 13961, 655, 839, 267, 2123, 12375, 689, 7345, 518, 267, 3544, 519, 11643, 960, 269, 634, 4589, 723, 1100, 824, 7526, 540, 1719, 547, 17551, 563, 15411, 7457, 15048, 281, 901, 568, 606, 7046, 7457, 2376, 7856, 538, 13076, 609, 519, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 338, 476, 275, 269, 271, 4139, 17821, 630, 6717, 15760, 9539, 290, 9539, 291, 476, 275, 269, 271, 1070, 799, 14998, 519, 1875, 10687, 14293, 18643, 543, 3892, 540, 519, 2376, 609, 519, 7453, 1008, 529, 334, 602, 1100, 2242, 610, 1196, 1080, 616, 1500, 543, 519, 3312, 960, 568, 5265, 11855, 630, 10175, 6402, 547, 1312, 519, 6101, 8313, 998, 519, 4143, 20396, 543, 519, 12689, 1040, 6423, 281, 4179, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 5991, 322, 268, 526, 270, 275, 269, 271, 270, 563, 268, 645, 3073, 320, 631, 267, 4639, 808, 267, 13852, 808, 291, 267, 29542, 12135, 267, 7931, 340, 570, 267, 19850, 916, 7615, 590, 289, 267, 667, 22844, 336, 341, 626, 2274, 514, 14551, 744, 269, 11628, 1560, 5888, 4879, 281, 689, 1560, 2527, 4994, 547, 1560, 5888, 27992, 269, 808, 15766, 2405, 476, 1001, 279, 282, 5780, 281, 272, 268, 280, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 674, 657, 321, 21417, 331, 631, 383, 502, 267, 2098, 518, 23167, 645, 269, 12634, 2409, 540, 1560, 5888, 6482, 269, 7885, 4284, 2723, 8342, 551, 24919, 476, 1001, 276, 282, 3374, 281, 10037, 268, 9032, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 3400, 21838, 654, 302, 267, 631, 1601, 21191, 267, 2052, 333, 9460, 267, 7108, 6199, 31254, 269, 10829, 2305, 540, 1560, 3170, 3892, 538, 519, 17737, 1210, 17223, 29821, 269, 2549, 808, 7885, 25326, 337, 476, 2735, 275, 282, 4375, 281, 277, 4029, 268, 278, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 570, 657, 6737, 631, 267, 3057, 345, 31899, 661, 267, 595, 525, 926, 631, 267, 590, 11232, 320, 717, 267, 16019, 681, 305, 267, 12672, 23042, 328, 681, 267, 8092, 328, 674, 267, 2836, 7079, 328, 681, 269, 20970, 540, 4887, 2527, 538, 26878, 13449, 807, 281, 689, 9196, 547, 23020, 12508, 269, 28544, 7885, 5890, 1763, 476, 1001, 278, 282, 3066, 281, 866, 268, 2767, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 590, 1120, 328, 717, 267, 7066, 6665, 534, 595, 267, 7638, 2158, 324, 715, 267, 12359, 6737, 623, 267, 2494, 345, 6737, 661, 269, 24919, 540, 26878, 13449, 807, 269, 20195, 808, 7101, 2723, 476, 1001, 277, 282, 5952, 281, 14681, 280, 268, 2190, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 715, 3570, 589, 267, 6215, 831, 717, 297, 267, 26791, 5084, 267, 8738, 651, 30838, 269, 6396, 1108, 2689, 281, 1210, 12242, 20589, 2473, 11920, 4726, 696, 328, 5852, 630, 291, 311, 288, 264, 585, 519, 4879, 540, 1560, 5888, 538, 9845, 543, 3742, 1004, 269, 2271, 808, 22505, 25326, 337, 18130, 5450, 629, 476, 1001, 276, 282, 1839, 281, 2735, 268, 21497, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 2701, 23311, 29273, 267, 31436, 645, 298, 267, 24622, 1067, 631, 297, 267, 19850, 916, 7615, 590, 289, 269, 10610, 5888, 676, 667, 311, 288, 269, 24942, 476, 1001, 278, 282, 10441, 281, 6200, 268, 276, 269, 1496, 15899, 10915, 316, 1496, 23809, 2639, 268, 16907, 337, 644, 9437, 267, 674, 29729, 918, 300, 267, 6733, 518, 8028, 267, 17451, 28496, 808, 292, 267, 20831, 19505, 267, 2701, 23311, 29273, 269, 10610, 5888, 1239, 585, 2043, 476, 279, 1296, 540, 2085, 543, 4587, 281, 772, 2529, 269, 2551, 267, 476, 1960, 280, 268, 1220, 275, 269, 966, 1388, 2657, 6465, 476, 1556, 476, 1001, 271, 269, 272, 268, 9262, 269, 1496, 23809, 2639, 268, 16114, 657, 21096, 267, 29861, 5459, 29273, 267, 4223, 5362, 31368, 267, 681, 5255, 320, 6751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 994, 29580, 23056, 267, 476, 29720, 15505, 604, 323, 1109, 3607, 272, 279, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1015, 16733, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 9890, 630, 8740, 481, 6567, 476, 272, 264, 17995, 630, 8740, 484, 3980, 500, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 4917, 27840, 1109, 15505, 604, 328, 1109, 4391, 277, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1724, 630, 8740, 355, 17995, 630, 8740, 484, 3980, 500, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 264, 9890, 15855, 355, 8740, 484, 994, 29848, 10844, 337, 866, 269, 2641, 6798, 1109, 30640, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1724, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 17995, 15855, 484, 994, 27768, 27840, 267, 476, 29848, 1910, 17427, 273, 1109, 275, 3445, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1321, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 17995, 630, 8740, 484, 3980, 500, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 4297, 9890, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 17995, 15855, 484, 994, 30640, 1109, 15505, 604, 1109, 3607, 272, 278, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1724, 630, 8740, 355, 17995, 630, 8740, 484, 3980, 500, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 264, 7602, 498, 630, 8740, 355, 8740, 484, 31961, 2485, 361, 15855, 355, 17995, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 4917, 29574, 14028, 611, 656, 337, 1109, 21878, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 15855, 481, 17995, 21508, 503, 994, 29218, 14530, 338, 572, 671, 320, 1109, 3607, 274, 277, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 15855, 355, 17995, 630, 272, 1862, 263, 8740, 481, 6567, 476, 272, 21875, 26482, 1109, 18091, 573, 1109, 25228, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 736, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 994, 4968, 26482, 1440, 332, 15965, 15965, 1109, 14028, 4375, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 16733, 8740, 481, 17995, 21508, 503, 31961, 15855, 355, 17995, 630, 272, 1862, 263, 8740, 481, 6567, 476, 272, 30727, 9890, 15855, 355, 815, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4917, 22145, 29574, 267, 476, 29218, 267, 476, 4968, 1910, 331, 273, 4545, 1109, 7597, 275, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1240, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 15855, 355, 815, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4917, 23714, 1109, 913, 336, 272, 1109, 5780, 280, 278, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 736, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 15855, 356, 9890, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 815, 630, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 21875, 24062, 23714, 913, 336, 272, 323, 1109, 277, 3583, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 15855, 356, 9890, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4917, 19054, 24062, 18091, 18091, 273, 323, 1109, 29214, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1240, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 15855, 356, 9890, 630, 8740, 355, 815, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 7602, 498, 15855, 355, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 21875, 25134, 22145, 267, 476, 19054, 1910, 331, 276, 756, 1260, 1109, 20720, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1704, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 15855, 356, 8740, 355, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 21875, 27420, 1109, 913, 336, 272, 1109, 5780, 280, 278, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 9890, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 815, 630, 9230, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 21875, 28906, 27420, 913, 336, 272, 323, 1109, 277, 3583, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1240, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 9890, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 630, 9230, 263, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4917, 28143, 27543, 611, 656, 337, 1109, 21878, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 866, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 15855, 356, 815, 630, 9230, 263, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4917, 29616, 22145, 267, 476, 28143, 18091, 18091, 1321, 323, 1109, 29214, 277, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1240, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 630, 8740, 355, 815, 15855, 356, 7602, 498, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 630, 9230, 263, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 21875, 20542, 28906, 267, 476, 29616, 1910, 331, 276, 2320, 1109, 26951, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1704, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 9890, 15855, 355, 815, 15855, 356, 4917, 25313, 25134, 267, 476, 20542, 528, 574, 1321, 323, 1109, 3445, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1626, 630, 9230, 5582, 506, 495, 31961, 630, 8740, 356, 8740, 484, 31961, 2485, 361, 15855, 356, 17995, 2715, 263, 8740, 481, 6567, 476, 272, 14587, 4297, 31961, 15855, 355, 8740, 484, 264, 9890, 630, 9230, 263, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 15855, 356, 3980, 357, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 4297, 9890, 630, 8740, 355, 815, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 3980, 357, 15855, 355, 815, 15855, 356, 21875, 24374, 1109, 913, 343, 1109, 6858, 272, 279, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1704, 16733, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 17995, 966, 454, 27123, 24374, 601, 1440, 1109, 275, 2537, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1626, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 264, 17995, 2715, 8740, 356, 267, 16733, 8740, 356, 16378, 495, 263, 8740, 481, 6567, 476, 273, 4297, 1110, 15855, 481, 14587, 7602, 498, 630, 9230, 8740, 355, 16378, 495, 263, 8740, 481, 6567, 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 ]
[ 4782, 10457, 945, 723, 513, 4487, 779, 4110, 538, 1870, 7245, 630, 300, 10621, 264, 609, 513, 5834, 538, 1344, 1949, 563, 1103, 1840, 547, 2930, 1983, 267, 2780, 1949, 19767, 1590, 581, 2111, 547, 5968, 3927, 609, 1312, 2930, 543, 1875, 14482, 1013, 673, 3755, 269, 1358, 1590, 581, 2111, 547, 20272, 519, 2115, 540, 606, 13539, 543, 1374, 3435, 602, 2743, 1346, 2115, 269, 30551, 543, 1966, 9010, 1983, 616, 1898, 267, 607, 568, 519, 2702, 547, 2628, 3007, 547, 1469, 563, 1432, 616, 519, 2816, 11645, 540, 513, 2780, 1949, 25566, 888, 288, 2780, 1949, 25566, 9382, 606, 13539, 779, 1699, 2780, 1062, 543, 15565, 3435, 547, 2087, 4398, 543, 7145, 269, 1358, 949, 849, 581, 3743, 585, 8888, 267, 7598, 267, 4152, 543, 4509, 1007, 1949, 269, 769, 3677, 14540, 267, 19767, 949, 2027, 1047, 538, 513, 1880, 1858, 267, 971, 607, 3060, 3354, 610, 6538, 2359, 563, 1432, 616, 519, 2816, 19773, 543, 14057, 585, 2780, 1949, 19767, 888, 763, 2816, 19773, 585, 2780, 1949, 19767, 568, 23904, 267, 609, 513, 15810, 476, 1015, 260, 2208, 538, 6009, 689, 476, 1001, 280, 268, 1708, 280, 269, 634, 11667, 5993, 14057, 585, 2780, 1949, 19767, 729, 11278, 6434, 267, 278, 2412, 538, 2904, 476, 1001, 280, 563, 20663, 1949, 19767, 1404, 513, 4105, 1909, 538, 606, 13539, 779, 2702, 547, 946, 1344, 2029, 630, 3951, 264, 3927, 269, 1358, 960, 5702, 609, 9946, 543, 824, 8639, 547, 2697, 1870, 2115, 543, 3313, 875, 1655, 547, 946, 8668, 547, 2743, 1346, 2115, 269, 769, 1082, 2665, 267, 2780, 1949, 19767, 849, 1374, 543, 1020, 741, 5227, 1949, 563, 4415, 519, 3395, 16126, 593, 1344, 2029, 676, 4213, 540, 782, 2010, 267, 519, 3747, 585, 2780, 1949, 19767, 568, 4397, 547, 1332, 538, 519, 4947, 1296, 269, 1306, 513, 1267, 267, 1346, 609, 1995, 2324, 609, 1585, 3301, 3156, 543, 12240, 786, 581, 538, 24215, 1164, 3747, 563, 1692, 547, 1831, 513, 2780, 1949, 25566, 454, 20663, 1949, 19767, 946, 741, 2930, 1983, 547, 1374, 267, 2936, 267, 543, 2226, 2780, 1949, 585, 4213, 610, 14540, 269, 3689, 267, 789, 960, 5702, 609, 1870, 8639, 547, 1174, 741, 2115, 543, 4170, 267, 543, 1287, 789, 946, 741, 1702, 540, 1344, 2029, 547, 1020, 3435, 602, 2743, 1346, 2115, 563, 2414, 1831, 513, 2780, 1949, 25566, 267, 596, 786, 991, 547, 723, 2178, 10763, 543, 1966, 9010, 1983, 269, 1411, 1058, 581, 2111, 547, 1589, 9691, 543, 21176, 547, 2697, 2042, 543, 1020, 5499, 3435, 269, 1411, 786, 849, 991, 547, 581, 5432, 609, 1585, 5752, 4654, 543, 723, 1995, 2324, 609, 1114, 2010, 540, 2780, 8800, 543, 3301, 269, 5047, 267, 5140, 2792, 1983, 616, 1898, 585, 713, 1909, 267, 607, 596, 786, 991, 547, 581, 2111, 547, 2491, 1950, 2930, 2035, 547, 1875, 14482, 1013, 673, 3755, 269, 0, 5804, 18573, 547, 2413, 5778, 268, 17595, 1670, 2090, 267, 519, 1523, 540, 5898, 814, 2141, 1044, 519, 1641, 540, 740, 600, 656, 9840, 543, 13730, 4555, 269, 769, 922, 1034, 2489, 1106, 267, 5898, 568, 3989, 607, 513, 4999, 540, 7907, 602, 5225, 519, 12716, 12823, 267, 2523, 8289, 269, 1809, 1018, 4010, 616, 891, 7907, 602, 1118, 1945, 4190, 286, 634, 2626, 267, 621, 4667, 267, 568, 7361, 909, 547, 519, 21951, 2933, 269, 2368, 15806, 267, 971, 607, 670, 2541, 267, 8044, 602, 519, 16148, 1995, 540, 12257, 568, 513, 2556, 5057, 540, 519, 10385, 540, 5898, 269, 11524, 267, 2705, 267, 7947, 713, 2856, 540, 513, 8471, 3044, 585, 5898, 563, 9961, 1686, 267, 5898, 814, 859, 12097, 4606, 540, 16007, 543, 25621, 538, 1312, 2367, 543, 2021, 267, 543, 621, 814, 1419, 1044, 2938, 607, 513, 15262, 540, 1514, 1362, 269, 769, 713, 2631, 267, 621, 568, 513, 2686, 7613, 267, 855, 930, 15806, 723, 849, 11130, 602, 2067, 5898, 568, 17916, 543, 16637, 550, 540, 2528, 543, 942, 269, 4935, 267, 519, 2575, 540, 29732, 610, 519, 18810, 540, 18466, 32109, 616, 16363, 4190, 7488, 540, 741, 2686, 2796, 1317, 789, 13469, 609, 513, 4295, 2460, 540, 1480, 2470, 563, 288, 811, 2487, 7664, 540, 5898, 814, 7153, 538, 1870, 543, 5718, 269, 1306, 513, 2298, 602, 568, 5532, 547, 3972, 543, 5876, 267, 621, 568, 1271, 585, 5520, 607, 1134, 607, 5561, 269, 589, 2754, 779, 10639, 585, 1373, 513, 2707, 540, 5898, 568, 2404, 609, 1732, 9441, 12802, 267, 513, 2362, 1377, 540, 6075, 9547, 543, 3152, 12434, 269, 1306, 513, 1267, 267, 3549, 899, 4793, 6782, 807, 723, 3964, 2933, 607, 5898, 3401, 269, 589, 2631, 540, 5898, 666, 849, 948, 4213, 4482, 519, 1655, 13007, 267, 2687, 547, 1382, 5342, 676, 7843, 7219, 269, 31740, 945, 960, 538, 5054, 1141, 972, 568, 513, 1445, 593, 28908, 543, 25273, 616, 3670, 2053, 811, 2693, 547, 1867, 602, 789, 2972, 741, 2816, 267, 543, 5561, 616, 476, 1321, 2053, 811, 2693, 547, 4363, 513, 2754, 952, 789, 723, 513, 2318, 3929, 1995, 609, 621, 563, 2252, 649, 1616, 547, 2057, 519, 829, 2812, 540, 21603, 640, 267, 621, 568, 1271, 547, 1413, 4514, 982, 513, 1268, 779, 9018, 5920, 269, 1280, 1383, 267, 513, 2487, 5619, 1336, 602, 513, 1268, 779, 4987, 267, 11587, 543, 21548, 616, 2808, 811, 10694, 982, 741, 2168, 5920, 269, 30151, 267, 11587, 267, 8788, 543, 15683, 941, 1851, 519, 1283, 476, 1015, 10305, 1004, 1767, 1500, 513, 1268, 4190, 1247, 4222, 267, 11132, 5920, 543, 3023, 1465, 19486, 1454, 2539, 563, 1103, 930, 2081, 267, 891, 2164, 1118, 2631, 281, 1879, 649, 1445, 593, 519, 1919, 602, 5963, 2339, 267, 649, 666, 1745, 811, 693, 4708, 609, 6000, 543, 4061, 2234, 5573, 606, 6418, 5898, 269, 634, 1034, 2500, 1259, 547, 1265, 713, 4708, 568, 676, 4466, 707, 1378, 8076, 1582, 543, 1739, 707, 3020, 18653, 538, 1272, 563, 2252, 596, 616, 5461, 538, 1565, 811, 827, 519, 6138, 540, 5898, 267, 972, 616, 513, 1297, 540, 4277, 2835, 2139, 593, 519, 1888, 269, 1452, 1331, 281, 0, 763, 18067, 766, 540, 717, 14712, 534, 538, 3162, 9705, 538, 513, 2598, 15479, 633, 21887, 454, 1607, 2376, 2488, 513, 5444, 11530, 673, 7634, 998, 513, 2022, 24645, 5133, 827, 13708, 601, 534, 27964, 538, 3162, 9705, 269, 717, 14712, 534, 568, 1634, 607, 513, 2757, 32316, 11347, 540, 12868, 267, 2523, 538, 4081, 10580, 269, 24641, 24414, 2528, 568, 1869, 711, 1134, 1634, 538, 3162, 9705, 267, 24414, 2757, 7405, 616, 711, 3908, 547, 13708, 601, 534, 269, 1703, 616, 849, 513, 1390, 1082, 824, 2757, 7405, 593, 1142, 6532, 543, 1851, 1114, 6803, 2516, 538, 519, 4182, 269, 1215, 543, 1946, 814, 13708, 601, 534, 2097, 547, 581, 2938, 607, 971, 513, 11347, 24414, 7574, 6293, 1369, 3162, 9705, 286, 11310, 540, 13708, 601, 534, 610, 24414, 2575, 568, 513, 811, 2487, 3390, 538, 3162, 9705, 1141, 972, 814, 1044, 1100, 1279, 1686, 540, 24414, 7574, 11407, 269, 634, 2832, 540, 713, 2376, 568, 4061, 547, 1174, 875, 13708, 601, 534, 729, 632, 935, 3667, 783, 1242, 689, 922, 5169, 998, 7259, 16117, 543, 7810, 5736, 1382, 883, 519, 7900, 6575, 267, 543, 875, 713, 3366, 547, 621, 4742, 513, 11347, 24414, 2757, 2575, 1106, 538, 3162, 9705, 998, 293, 537, 322, 5435, 779, 3069, 540, 11407, 269, 1677, 798, 713, 267, 3140, 1239, 729, 11567, 1210, 5444, 11530, 673, 12191, 269, 717, 14712, 534, 729, 835, 540, 519, 2442, 3615, 1282, 519, 7810, 5736, 585, 5375, 12372, 543, 2575, 5505, 269, 634, 8560, 540, 13708, 601, 534, 814, 1044, 6252, 609, 519, 1646, 540, 17801, 558, 639, 545, 1108, 267, 543, 621, 814, 2095, 333, 883, 3162, 9705, 609, 2810, 11114, 1053, 945, 1353, 538, 519, 4639, 543, 998, 4205, 1063, 2575, 5505, 538, 519, 17801, 558, 639, 545, 1108, 2361, 563, 21292, 281, 11114, 13708, 601, 534, 267, 24414, 2575, 267, 19525, 267, 2022, 24645, 267, 17801, 558, 639, 545, 1108, 454, 28137, 24696, 269, 4985, 281, 519, 4715, 12386, 540, 824, 1145, 269, 769, 594, 269, 631, 269, 28137, 269, 769, 7900, 824, 1145, 28162, 543, 2545, 328, 593, 3486, 5933, 476, 5002, 276, 268, 4198, 273, 21595, 6588, 557, 5839, 17524, 534, 269, 476, 1001, 271, 281, 272, 268, 2420, 563, 8065, 590, 269, 634, 4518, 540, 23830, 269, 769, 281, 8065, 590, 267, 9375, 269, 23830, 269, 5507, 281, 590, 720, 23549, 282, 476, 1001, 274, 269, 6032, 269, 476, 272, 1700, 6795, 563, 5754, 684, 918, 290, 269, 1547, 1530, 9567, 281, 1547, 1001, 277, 563, 8614, 517, 7379, 269, 1547, 23205, 16161, 5292, 802, 330, 1495, 324, 269, 476, 1960, 271, 282, 273, 281, 9818, 1700, 2412, 563, 8614, 517, 590, 269, 853, 2643, 2065, 2079, 540, 2605, 753, 30241, 623, 537, 6352, 322, 779, 1547, 16362, 531, 12031, 269, 23958, 3427, 540, 12390, 572, 328, 2160, 269, 476, 1708, 271, 563, 11835, 631, 297, 269, 589, 1353, 593, 19863, 324, 21926, 4068, 13891, 1380, 344, 779, 6480, 2086, 525, 269, 9457, 5098, 269, 23958, 3427, 540, 14717, 2426, 5864, 2160, 269, 476, 1001, 272, 563, 918, 836, 667, 312, 269, 589, 1353, 593, 6480, 2086, 525, 676, 595, 269, 13891, 1380, 344, 281, 5059, 593, 3143, 269, 476, 272, 623, 698, 3941, 269, 9457, 5098, 269, 23958, 3427, 540, 667, 784, 706, 330, 6468, 779, 2160, 269, 476, 1708, 271, 563, 918, 836, 808, 295, 269, 589, 1353, 593, 16678, 2609, 538, 13891, 1380, 344, 779, 14440, 960, 281, 5059, 593, 6480, 2086, 525, 476, 272, 267, 476, 273, 623, 19991, 543, 2776, 331, 8775, 476, 272, 268, 276, 267, 476, 280, 267, 476, 273, 268, 274, 538, 13891, 1380, 344, 779, 623, 10730, 4518, 269, 9457, 5098, 269, 23958, 3427, 540, 8614, 9857, 2817, 2160, 269, 476, 1001, 274, 563, 13690, 808, 312, 269, 2433, 1547, 623, 1690, 340, 281, 1547, 476, 1001, 276, 563, 13690, 808, 312, 269, 8535, 2528, 540, 12868, 267, 645, 31866, 517, 281, 7489, 8535, 3194, 4659, 269, 476, 1001, 278, 563, 13690, 10323, 12409, 5351, 538, 519, 476, 4198, 271, 338, 543, 476, 2568, 338, 543, 13283, 585, 4974, 538, 519, 772, 2529, 269, 589, 1445, 593, 519, 16506, 1788, 543, 27975, 1962, 697, 1982, 269, 1547, 476, 1001, 280, 282, 14338, 281, 4489, 268, 19442, 563, 13690, 962, 306, 269, 2073, 630, 30445, 836, 264, 2073, 1547, 476, 1220, 272, 282, 272, 281, 5325, 268, 6795, 563, 31311, 560, 808, 269, 8535, 538, 10084, 281, 922, 1686, 267, 922, 3069, 543, 922, 4480, 269, 26652, 281, 22219, 3163, 1341, 6355, 9012, 667, 867, 516, 19816, 269, 476, 3707, 280, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 270, 7818, 268, 11463, 268, 30203, 268, 278, 1724, 271, 268, 476, 277, 454, 10557, 808, 295, 269, 589, 1353, 540, 595, 269, 589, 269, 13891, 1380, 344, 779, 6480, 2086, 525, 269, 9457, 5098, 269, 23958, 3427, 540, 918, 809, 2381, 1133, 1853, 626, 344, 269, 476, 1001, 275, 563, 700, 573, 14024, 670, 269, 634, 7313, 7497, 543, 519, 15348, 540, 1401, 3031, 1746, 4033, 27639, 269, 769, 281, 8065, 590, 267, 9375, 269, 769, 23830, 269, 5507, 281, 590, 720, 23549, 282, 476, 1001, 274, 269, 6032, 269, 476, 6344, 1700, 20969, 563, 700, 1380, 1512, 667, 293, 269, 8535, 593, 519, 8844, 269, 12309, 281, 2160, 540, 12309, 4964, 282, 476, 1708, 271, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 274, 4200, 279, 270, 5404, 889, 269, 280, 5952, 4343, 276, 276, 563, 16019, 19845, 267, 17389, 828, 2006, 674, 269, 7200, 26858, 543, 519, 1977, 717, 14712, 534, 269, 2549, 8535, 269, 476, 1960, 280, 282, 1704, 263, 273, 2567, 16409, 1700, 4281, 563, 4880, 339, 331, 645, 269, 634, 5530, 540, 6599, 333, 558, 639, 545, 1108, 281, 19412, 344, 31644, 1167, 639, 1087, 687, 269, 12124, 320, 267, 9628, 267, 11354, 7615, 281, 2160, 540, 13325, 4964, 282, 476, 1001, 276, 563, 5029, 1242, 676, 3203, 543, 5071, 4972, 267, 20513, 540, 16707, 267, 10713, 26320, 10598, 29800, 5689, 836, 269, 476, 1708, 273, 4119, 476, 736, 563, 14529, 2131, 645, 269, 589, 5530, 540, 28604, 12476, 593, 519, 23531, 531, 11905, 281, 808, 24170, 3150, 717, 14712, 534, 538, 13891, 1380, 344, 779, 16103, 3883, 476, 273, 269, 3194, 538, 8535, 16677, 698, 9609, 269, 476, 1001, 275, 282, 1691, 281, 4037, 1700, 476, 6200, 563, 5244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 568, 4909, 547, 519, 5375, 7214, 2245, 568, 3833, 9813, 547, 7087, 9082, 543, 568, 538, 1249, 16160, 547, 741, 17612, 563, 272, 269, 966, 710, 5548, 18319, 267, 12789, 267, 13336, 1299, 17217, 281, 634, 966, 710, 5548, 18319, 267, 12789, 1421, 24153, 267, 661, 1091, 269, 22526, 5548, 18319, 267, 1696, 454, 531, 630, 20112, 523, 281, 27975, 322, 5300, 14539, 267, 476, 1960, 280, 1070, 476, 7367, 563, 273, 269, 25592, 573, 1421, 476, 4097, 454, 274, 269, 700, 518, 1195, 9741, 19594, 267, 968, 20288, 1189, 5608, 538, 27068, 595, 1690, 23176, 267, 7111, 3163, 269, 1535, 563, 275, 269, 5548, 18319, 267, 13336, 543, 17217, 269, 476, 30500, 563, 276, 269, 22189, 670, 269, 774, 636, 571, 267, 968, 763, 715, 15676, 2398, 2711, 630, 25565, 264, 15215, 543, 8567, 281, 589, 454, 763, 1670, 14506, 2223, 538, 966, 269, 918, 269, 715, 7795, 267, 1196, 269, 769, 9612, 540, 16217, 343, 529, 28613, 585, 519, 18491, 553, 630, 6124, 454, 22013, 6062, 281, 3204, 1890, 23549, 267, 476, 1220, 274, 1070, 476, 7918, 563, 277, 269, 1280, 513, 2143, 6476, 1294, 589, 269, 654, 10620, 7043, 10420, 267, 1323, 24021, 7489, 28613, 281, 17650, 531, 454, 763, 1108, 281, 17136, 267, 6396, 543, 21887, 630, 297, 528, 1002, 281, 17650, 531, 5530, 4741, 267, 476, 1220, 271, 1070, 476, 5038, 563, 278, 269, 25592, 573, 1421, 476, 14530, 563, 279, 269, 6723, 661, 269, 570, 28310, 267, 968, 763, 853, 2158, 1744, 718, 595, 787, 4934, 281, 3117, 4109, 1145, 267, 32520, 543, 12075, 5608, 570, 16039, 267, 476, 274, 563, 280, 269, 966, 710, 5548, 18319, 267, 12789, 267, 2696, 568, 4414, 281, 589, 7111, 7348, 540, 15215, 269, 476, 273, 323, 1196, 15301, 20112, 523, 281, 3345, 454, 13563, 4964, 267, 476, 1960, 273, 1070, 476, 8660, 563, 1015, 269, 29303, 30159, 1148, 10306, 919, 713, 5168, 281, 968, 12441, 596, 917, 602, 4054, 2911, 286, 4270, 789, 798, 563, 5445, 2911, 547, 1142, 824, 267, 543, 789, 3580, 2911, 547, 596, 952, 596, 6432, 269, 24410, 1076, 568, 267, 6519, 1004, 454, 18484, 1406, 6432, 269, 1358, 2760, 4121, 547, 6432, 547, 519, 12075, 267, 865, 594, 1810, 1406, 594, 15475, 789, 3580, 454, 4289, 523, 547, 824, 9739, 538, 2470, 269, 1809, 594, 723, 4121, 513, 2603, 689, 4054, 281, 930, 2053, 827, 454, 1492, 4365, 267, 930, 2053, 827, 2831, 267, 3006, 827, 519, 4279, 13336, 1848, 2372, 6838, 538, 454, 22013, 18319, 269, 25592, 573, 1421, 476, 3445, 563, 1556, 269, 631, 269, 9710, 600, 267, 18491, 553, 6196, 18467, 1715, 12367, 630, 22013, 6062, 281, 15328, 21573, 23549, 267, 476, 2735, 279, 1070, 476, 1428, 325, 563, 1321, 269, 6723, 661, 269, 570, 28310, 267, 968, 763, 9509, 17781, 540, 8644, 3130, 281, 1323, 1977, 28613, 540, 9255, 2223, 538, 454, 21837, 717, 269, 8065, 2006, 267, 1196, 1421, 8278, 6139, 1108, 281, 966, 7860, 689, 3162, 543, 3345, 630, 294, 2940, 9366, 281, 654, 6717, 454, 14276, 725, 267, 476, 1960, 275, 1070, 476, 21854, 282, 13336, 543, 18650, 267, 476, 11011, 268, 10844, 269, 0, 7987, 494, 7072, 7987, 495, 1607, 2376, 6941, 875, 2487, 8441, 538, 631, 32209, 2029, 616, 8744, 5787, 18852, 547, 519, 21282, 547, 14526, 609, 2650, 345, 29090, 8596, 538, 2783, 5464, 3156, 282, 621, 849, 11828, 875, 547, 946, 519, 1007, 1646, 5867, 602, 1118, 713, 2009, 563, 7072, 547, 16448, 16424, 630, 290, 321, 300, 264, 543, 21023, 633, 20904, 630, 303, 323, 300, 994, 30812, 819, 5464, 630, 290, 321, 300, 264, 3322, 519, 946, 540, 8596, 547, 2268, 519, 1699, 1533, 540, 1072, 547, 6895, 6191, 610, 7221, 269, 21023, 633, 5826, 630, 303, 323, 300, 264, 3340, 513, 4999, 540, 2553, 971, 607, 595, 321, 300, 267, 3684, 1565, 543, 12642, 547, 3589, 2104, 10697, 5826, 9979, 610, 2009, 14286, 269, 6820, 3926, 1072, 5464, 568, 4397, 547, 1332, 3648, 267, 1818, 621, 16122, 547, 581, 3222, 540, 543, 1174, 1883, 3466, 269, 2859, 543, 811, 595, 321, 300, 3549, 616, 12561, 623, 323, 300, 547, 2087, 519, 15285, 5413, 540, 741, 2472, 269, 20904, 543, 9744, 9946, 1631, 723, 1007, 3681, 585, 595, 321, 300, 267, 971, 607, 12616, 4559, 267, 607, 1134, 607, 2539, 21057, 1164, 26024, 4559, 269, 2755, 519, 5989, 585, 1034, 595, 321, 300, 1949, 3788, 519, 1482, 267, 649, 666, 1631, 11753, 1007, 631, 32209, 4066, 2047, 883, 1949, 602, 5892, 1031, 6140, 2650, 345, 29090, 8596, 267, 610, 941, 711, 16913, 1813, 547, 1942, 7496, 563, 30812, 819, 16424, 1107, 7177, 12694, 543, 5071, 5463, 2888, 454, 1103, 513, 6093, 595, 321, 300, 5365, 5832, 1374, 267, 972, 616, 1082, 1114, 4702, 16551, 543, 2553, 602, 991, 547, 581, 2808, 267, 782, 540, 799, 616, 7683, 5355, 543, 2810, 538, 6988, 269, 1703, 616, 1631, 1585, 2010, 540, 7218, 945, 949, 723, 6791, 538, 513, 1978, 1858, 267, 971, 607, 5690, 1646, 630, 7809, 2264, 1152, 264, 610, 8800, 1374, 630, 14551, 2264, 1152, 1070, 855, 711, 2141, 21295, 538, 1312, 563, 2690, 9367, 945, 1616, 547, 1445, 593, 5690, 1646, 267, 789, 2154, 513, 1239, 23789, 602, 666, 8308, 3589, 10697, 14286, 543, 29987, 269, 1358, 1810, 1406, 1616, 547, 1374, 8800, 267, 610, 4368, 1239, 8699, 14286, 282, 789, 1616, 547, 946, 2731, 1164, 535, 23474, 1239, 269, 19452, 267, 585, 8800, 8030, 3168, 547, 2333, 1062, 10727, 610, 2569, 3790, 267, 789, 991, 513, 3070, 602, 666, 3362, 1921, 547, 4540, 5989, 267, 3850, 873, 547, 25162, 4540, 3435, 269, 1358, 991, 1569, 547, 1239, 538, 513, 28505, 3898, 602, 568, 2653, 547, 946, 543, 13143, 865, 602, 789, 1810, 1406, 3653, 942, 10442, 2773, 563, 6624, 540, 519, 1062, 7400, 2591, 666, 581, 12193, 609, 513, 3760, 1935, 31539, 519, 9300, 782, 519, 1259, 547, 5690, 545, 1646, 1765, 523, 29058, 782, 6075, 2010, 563, 6624, 1062, 7400, 2591, 666, 581, 9619, 609, 513, 3760, 1935, 630, 5228, 8596, 547, 5690, 1646, 1070, 5885, 782, 2010, 540, 5561, 563, 1432, 568, 31368, 4962, 275, 280, 286, 1215, 1281, 621, 948, 8831, 519, 1272, 540, 519, 3926, 888, 290, 301, 4962, 275, 280, 595, 321, 300, 4886, 25957, 454, 763, 31368, 4962, 275, 280, 16448, 16424, 25957, 568, 513, 1164, 26024, 267, 1055, 7308, 1606, 3559, 325, 8800, 543, 3301, 3070, 585, 18297, 1164, 1922, 23474, 19089, 1239, 689, 7221, 883, 606, 5690, 8276, 22389, 1565, 1646, 1604, 269, 634, 3760, 2488, 8800, 4966, 609, 513, 7318, 543, 8810, 1062, 3070, 602, 2488, 3810, 4977, 1239, 11601, 267, 6325, 7344, 23993, 547, 7221, 267, 543, 1164, 26024, 29577, 19089, 8596, 269, 2353, 8800, 1374, 6119, 616, 849, 3177, 547, 948, 596, 3362, 11753, 883, 707, 2966, 1587, 269, 4746, 10694, 547, 3301, 4966, 267, 31368, 4962, 275, 280, 14592, 519, 2783, 5464, 5365, 5832, 8800, 2591, 267, 3850, 3301, 6887, 543, 1239, 4966, 547, 2047, 1376, 3384, 3684, 1565, 6620, 269, 12830, 2934, 543, 2640, 1331, 912, 22461, 14168, 10380, 883, 7221, 1247, 4509, 2964, 1227, 13745, 5365, 8699, 454, 22461, 22453, 19961, 631, 32209, 5787, 10309, 9300, 609, 594, 7968, 292, 1239, 3977, 3898, 454, 22461, 594, 7968, 292, 267, 1164, 1922, 23474, 1239, 11601, 630, 6395, 304, 264, 3070, 609, 12746, 3403, 19961, 689, 9823, 547, 476, 7918, 737, 13703, 454, 22461, 2506, 5523, 4765, 24891, 19306, 543, 8637, 6151, 1239, 585, 2199, 610, 3060, 539, 4393, 454, 22461, 7464, 6066, 18224, 540, 4908, 6389, 1239, 1210, 5084, 296, 779, 4083, 302, 14251, 24005, 3498, 454, 22461, 20837, 9300, 1239, 2047, 547, 2442, 1239, 2079, 2645, 971, 607, 5124, 543, 30731, 10378, 454, 763, 595, 321, 300, 1646, 3760, 568, 5631, 7768, 540, 2185, 1114, 3334, 630, 3333, 1144, 538, 7612, 476, 272, 1070, 799, 649, 786, 6338, 835, 676, 835, 267, 543, 1287, 6338, 519, 3003, 5916, 3070, 563, 8201, 476, 272, 269, 22020, 602, 1118, 909, 519, 595, 321, 300, 1646, 3760, 454, 11947, 569, 4977, 267, 1164, 1922, 23474, 1239, 7001, 543, 4393, 454, 4415, 9962, 19961, 543, 2539, 9300, 6846, 267, 24966, 971, 607, 12946, 2042, 267, 8883, 2787, 543, 10591, 8544, 3107, 666, 581, 9571, 4505, 269, 898, 568, 1360, 1271, 602, 519, 1239, 11601, 11418, 2327, 1164, 535, 23474, 540, 519, 6027, 19089, 1239, 282, 6382, 267, 1271, 13337, 1344, 949, 581, 4503, 269, 23496, 519, 535, 23474, 540, 19089, 1239, 2636, 721, 547, 5544, 3466, 5488, 543, 1683, 16762, 5826, 7840, 609, 1390, 6015, 267, 4227, 11991, 5957, 543, 15237, 593, 7344, 3334, 267, 799, 538, 2490, 11498, 519, 1272, 540, 707, 7221, 563, 288, 8779, 7232, 8997, 13979, 547, 16448, 16424, 540, 10815, 12830, 2667, 1115, 454, 303, 773, 345, 29090, 5787, 18852, 616, 519, 5207, 2773, 19089, 8596, 1031, 593, 519, 1034, 2565, 7221, 267, 1141, 2773, 568, 811, 1271, 982, 1942, 269, 634, 1164, 1942, 540, 2650, 345, 29090, 8596, 814, 13840, 15286, 2783, 5464, 540, 1447, 2565, 7221, 269, 631, 32209, 19089, 8596, 616, 1631, 13380, 547, 2650, 345, 29090, 8596, 538, 2474, 540, 6846, 267, 19961, 267, 543, 575, 24365, 267, 3850, 5826, 543, 3937, 9946, 547, 2744, 3152, 5813, 883, 1447, 2565, 7221, 602, 941, 5892, 1641, 547, 30076, 610, 12809, 5826, 1544, 269, 901, 568, 5631, 1813, 547, 519, 1164, 2773, 543, 1970, 1942, 540, 631, 32209, 269, 1284, 666, 1631, 946, 513, 1942, 15807, 1505, 547, 11179, 6895, 1970, 268, 543, 5420, 268, 5814, 766, 7221, 269, 4635, 4359, 19089, 15392, 2029, 267, 649, 666, 3362, 2697, 543, 7816, 11991, 5957, 543, 15237, 593, 707, 7221, 267, 4543, 547, 8831, 519, 1272, 540, 707, 7221, 269, 901, 849, 2337, 2087, 519, 2949, 4398, 540, 519, 3937, 543, 6971, 3684, 610, 1184, 29987, 563, 12507, 3218, 7221, 1107, 3713, 2042, 454, 2690, 595, 321, 300, 543, 623, 323, 300, 267, 513, 1297, 540, 1114, 2010, 540, 7020, 12331, 616, 2139, 269, 4107, 3156, 4125, 1699, 15392, 267, 13590, 15392, 267, 2095, 5464, 267, 543, 1896, 824, 12331, 269, 966, 12299, 7020, 568, 519, 1034, 4122, 1031, 7154, 538, 595, 321, 300, 267, 543, 2650, 345, 29090, 5787, 18852, 616, 519, 1034, 4122, 1031, 19089, 8596, 269, 769, 713, 3296, 267, 649, 2689, 875, 6639, 8441, 616, 6117, 519, 2361, 540, 19089, 8596, 543, 875, 713, 5222, 3498, 3664, 563, 300, 32209, 543, 26629, 345, 29090, 24665, 18852, 454, 303, 773, 345, 29090, 5787, 18852, 616, 1360, 1164, 2773, 8596, 267, 855, 8236, 713, 2773, 3340, 1082, 1374, 4123, 32187, 269, 1280, 1383, 267, 2650, 345, 29090, 5787, 18852, 616, 1419, 1031, 538, 29040, 19698, 1317, 789, 8532, 1932, 1454, 1379, 267, 666, 581, 4439, 5652, 630, 18034, 2468, 32681, 8596, 1070, 543, 616, 7199, 269, 10395, 1441, 609, 782, 540, 891, 2188, 267, 621, 568, 711, 4052, 547, 946, 2650, 345, 29090, 8596, 2429, 519, 2030, 267, 865, 789, 616, 3622, 1152, 1031, 593, 2565, 7221, 563, 29128, 5063, 267, 631, 32209, 5787, 18852, 1705, 711, 723, 6190, 19961, 267, 941, 1932, 26776, 267, 543, 1185, 575, 8573, 5190, 602, 1152, 4847, 5464, 540, 1447, 2565, 7221, 269, 10765, 8441, 538, 631, 32209, 2029, 723, 7753, 891, 7687, 267, 7175, 631, 32209, 19089, 8596, 547, 6895, 1970, 15134, 7221, 607, 1134, 607, 1360, 1271, 7221, 269, 7305, 476, 272, 2982, 519, 1271, 3601, 2838, 585, 2650, 345, 29090, 8596, 543, 631, 32209, 8596, 538, 595, 321, 300, 3156, 269, 631, 32209, 5787, 18852, 616, 3728, 4742, 519, 9300, 540, 3903, 585, 1082, 595, 321, 300, 3156, 1813, 547, 741, 1507, 2450, 267, 1296, 540, 6007, 5106, 267, 1970, 1942, 267, 543, 2773, 13380, 547, 2650, 345, 29090, 8596, 563, 4467, 6312, 1043, 609, 631, 32209, 543, 594, 7968, 292, 2650, 345, 29090, 5787, 18852, 267, 519, 31368, 4962, 275, 280, 595, 321, 300, 1646, 3760, 6087, 25162, 532, 1063, 1114, 9300, 2010, 563, 8368, 476, 272, 269, 631, 32209, 543, 26629, 345, 29090, 24665, 18852, 454, 8196, 540, 631, 32209, 5787, 18852, 538, 4540, 594, 7968, 292, 5989, 454, 2026, 3254, 538, 7305, 476, 272, 267, 631, 32209, 5787, 18852, 1631, 2709, 8013, 16551, 543, 2773, 3379, 547, 2650, 345, 29090, 8596, 267, 855, 666, 789, 5372, 4540, 2650, 345, 29090, 8596, 286, 1677, 1118, 621, 4443, 585, 9858, 547, 6218, 543, 5372, 2650, 345, 29090, 5787, 18852, 609, 631, 32209, 5787, 18852, 267, 5084, 296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17686, 8985, 540, 3267, 20064, 292, 1723, 19400, 11545, 5240, 12072, 454, 2414, 4688, 519, 4541, 267, 649, 1590, 4688, 519, 8835, 22986, 269, 1677, 4688, 519, 22986, 267, 649, 1590, 4688, 922, 6805, 9082, 269, 1656, 547, 798, 602, 267, 649, 1590, 1629, 2117, 622, 741, 2244, 563, 288, 1007, 3047, 343, 29552, 4670, 2027, 7125, 585, 519, 4027, 540, 519, 8835, 22986, 543, 519, 6805, 1004, 602, 1289, 621, 1753, 269, 3047, 343, 29552, 3820, 454, 268, 20821, 519, 1412, 18131, 2782, 19144, 262, 27986, 519, 8835, 11206, 910, 19889, 19400, 20064, 268, 7087, 17650, 525, 3657, 4635, 667, 14772, 547, 13363, 519, 8835, 3267, 20064, 268, 8835, 14175, 10809, 4024, 7502, 8985, 676, 476, 18684, 275, 267, 1715, 5530, 21023, 338, 3267, 20064, 268, 667, 4078, 23667, 538, 8835, 21708, 13702, 1115, 547, 476, 1321, 268, 17413, 4400, 7201, 12157, 5459, 16619, 20064, 268, 8835, 14175, 10809, 593, 519, 5696, 1074, 540, 5695, 940, 20553, 513, 4880, 12539, 661, 2466, 614, 3267, 20064, 3528, 1323, 651, 681, 28771, 454, 257, 9213, 781, 954, 574, 1867, 689, 519, 6167, 293, 6717, 290, 568, 513, 2699, 10332, 585, 938, 4541, 2437, 1767, 6167, 14199, 4937, 21293, 717, 17458, 637, 563, 763, 1867, 267, 5950, 11016, 267, 5654, 693, 519, 3084, 2916, 3646, 540, 476, 4037, 2829, 602, 723, 2907, 11643, 741, 8242, 834, 333, 14260, 5462, 7418, 2437, 610, 27020, 12336, 269, 634, 2477, 3769, 538, 519, 1867, 616, 3743, 585, 827, 476, 1789, 260, 540, 519, 1158, 781, 2518, 8511, 3154, 5434, 563, 268, 2622, 24285, 12096, 10374, 540, 20051, 8303, 15716, 25779, 910, 19889, 19400, 20064, 268, 6167, 8693, 7827, 10985, 30505, 2918, 5548, 26359, 547, 5437, 3267, 20064, 268, 476, 276, 13012, 2991, 8303, 281, 1215, 18831, 262, 8693, 24727, 26969, 909, 547, 3267, 20064, 268, 24068, 12736, 623, 7491, 2622, 1412, 20751, 22367, 6362, 20028, 262, 540, 476, 272, 269, 276, 595, 8303, 25779, 3267, 20064, 268, 24068, 1234, 3530, 8787, 8758, 618, 547, 1234, 14765, 1456, 8303, 15716, 3267, 20064, 19328, 781, 1715, 16156, 814, 1044, 1572, 519, 834, 16447, 2011, 5533, 3854, 257, 585, 922, 1164, 9830, 540, 28634, 2339, 602, 1118, 621, 9875, 585, 922, 7264, 547, 13236, 543, 1294, 269, 1809, 835, 3364, 814, 7138, 1194, 3744, 267, 2687, 547, 634, 26851, 269, 4208, 1281, 1715, 16156, 1294, 811, 1025, 4193, 1159, 9233, 982, 824, 26130, 7489, 4872, 267, 971, 607, 19864, 888, 268, 901, 4095, 3399, 1575, 570, 5281, 15724, 3176, 5794, 20553, 8693, 6363, 7037, 570, 3796, 3267, 20064, 268, 1215, 547, 12736, 519, 674, 697, 18830, 21311, 910, 19889, 19400, 20064, 1103, 513, 8978, 1847, 267, 519, 26609, 5211, 19438, 8189, 630, 11403, 6195, 264, 20366, 13628, 547, 7333, 17453, 9808, 9535, 538, 519, 3148, 269, 634, 7333, 729, 6462, 676, 782, 2185, 16935, 2829, 2443, 1715, 14948, 267, 26609, 267, 12425, 543, 1715, 3840, 2443, 8380, 513, 8628, 1439, 547, 17453, 9808, 9535, 585, 2067, 3154, 2059, 519, 476, 1724, 267, 276, 4375, 30026, 28902, 16935, 267, 634, 15740, 769, 638, 790, 337, 4080, 563, 268, 29630, 1014, 17793, 9535, 4425, 558, 12984, 513, 22868, 645, 755, 267, 4855, 338, 1715, 7797, 3267, 20064, 268, 7043, 5025, 11445, 1243, 16501, 5530, 590, 904, 17793, 9535, 15724, 2373, 25530, 4826, 3267, 20064, 268, 12425, 17793, 9535, 4826, 2552, 8727, 13518, 14451, 20537, 3267, 15955, 0, 268, 901, 1888, 814, 476, 278, 30491, 267, 476, 272, 5639, 267, 543, 729, 2063, 8242, 476, 1428, 1296, 267, 476, 280, 3275, 3516, 676, 631, 15967, 563, 2641, 560, 4989, 476, 1220, 276, 693, 476, 1704, 281, 4375, 1948, 30156, 5655, 300, 15967, 10817, 652, 454, 296, 723, 2141, 1044, 27278, 827, 875, 596, 666, 10141, 543, 4309, 1239, 936, 513, 10814, 693, 519, 1482, 942, 563, 4131, 779, 1491, 513, 2241, 1383, 282, 952, 594, 685, 600, 6158, 936, 519, 6049, 10490, 264, 663, 2576, 568, 6217, 16360, 264, 1250, 6643, 10301, 645, 543, 646, 30650, 621, 269, 3973, 645, 20781, 547, 803, 630, 288, 994, 663, 13030, 17930, 269, 1548, 594, 2161, 4422, 936, 519, 15146, 1899, 543, 1018, 519, 824, 1268, 20781, 4422, 1394, 936, 519, 1482, 15146, 1899, 269, 1284, 1810, 1406, 2141, 3717, 693, 519, 1482, 942, 267, 855, 267, 543, 713, 568, 1250, 2243, 267, 952, 649, 2911, 693, 519, 1482, 942, 547, 1142, 824, 454, 6011, 519, 5639, 6786, 18993, 1243, 547, 543, 689, 607, 6329, 693, 519, 1482, 942, 936, 519, 15146, 1899, 798, 711, 2458, 728, 609, 1142, 824, 952, 789, 616, 1373, 18993, 1243, 968, 1575, 543, 1524, 892, 693, 519, 1482, 942, 936, 519, 1482, 10814, 269, 594, 1810, 1406, 917, 952, 594, 1500, 8885, 6956, 855, 2094, 594, 6557, 711, 513, 7658, 23890, 3318, 594, 2119, 547, 2307, 1210, 1250, 1378, 1913, 563, 14188, 596, 585, 707, 2626, 563, 300, 15967, 2420, 526, 4989, 476, 1220, 276, 693, 476, 876, 281, 6021, 1948, 30156, 6246, 307, 778, 10817, 652, 454, 17098, 631, 15967, 267, 2119, 547, 1589, 540, 1605, 322, 3740, 25372, 607, 1769, 267, 1317, 602, 568, 4010, 1018, 621, 568, 269, 3776, 6049, 3515, 616, 1175, 513, 5420, 547, 17464, 2466, 1769, 269, 1403, 594, 1448, 1250, 8755, 2775, 693, 596, 693, 519, 3169, 1482, 942, 602, 596, 19542, 707, 8755, 2775, 693, 803, 267, 649, 1312, 1294, 1142, 824, 538, 519, 4158, 269, 1879, 649, 2911, 3068, 547, 3068, 649, 10141, 543, 4309, 693, 519, 1482, 942, 269, 901, 568, 1317, 649, 723, 3710, 538, 10256, 263, 309, 4069, 264, 543, 3710, 538, 2256, 1392, 263, 8986, 1916, 12552, 2190, 628, 4989, 476, 1220, 276, 693, 476, 1704, 281, 4375, 1948, 30156, 4510, 300, 15967, 10817, 652, 454, 14188, 596, 585, 707, 2626, 855, 607, 2484, 607, 594, 6557, 7255, 1018, 568, 18993, 1243, 936, 519, 6049, 3515, 616, 13590, 6329, 269, 634, 4992, 540, 519, 5639, 799, 616, 3280, 6329, 616, 10736, 883, 606, 8028, 1699, 2899, 596, 3717, 883, 519, 5023, 12328, 610, 28416, 540, 519, 6049, 269, 901, 568, 2944, 676, 519, 5907, 5547, 3330, 519, 6049, 20136, 4422, 936, 519, 6049, 1899, 607, 606, 8028, 1699, 1110, 4327, 676, 938, 5639, 543, 621, 568, 12746, 711, 3059, 269, 634, 6049, 676, 3294, 1281, 711, 6460, 689, 12746, 547, 3059, 2094, 621, 568, 711, 513, 1110, 655, 20136, 5365, 568, 711, 1769, 1317, 596, 666, 1406, 10141, 1769, 936, 513, 7601, 5911, 269, 1411, 18993, 626, 1769, 952, 596, 616, 1210, 513, 6775, 23726, 10814, 799, 568, 711, 938, 2013, 563, 2252, 594, 1589, 540, 713, 3167, 5951, 2469, 909, 519, 1899, 606, 519, 824, 2469, 1524, 693, 519, 1482, 942, 267, 789, 1223, 2458, 728, 609, 1142, 824, 930, 2897, 538, 519, 1899, 563, 296, 917, 621, 568, 513, 2370, 2352, 547, 2491, 543, 594, 6557, 7168, 2386, 972, 1590, 581, 930, 6323, 3238, 538, 3843, 547, 2491, 1018, 2731, 4523, 3330, 519, 5911, 454, 14188, 596, 19037, 269, 278, 628, 2904, 476, 1220, 276, 693, 476, 5881, 281, 736, 1948, 30156, 3393, 341, 6359, 599, 17791, 1260, 8210, 10817, 652, 454, 20365, 844, 518, 787, 568, 21453, 855, 922, 1625, 2917, 606, 9345, 269, 3689, 519, 1062, 960, 899, 713, 2094, 621, 729, 11827, 676, 32525, 269, 1306, 5941, 1657, 267, 519, 5639, 1689, 547, 12746, 5122, 5365, 607, 20534, 5951, 543, 891, 689, 6587, 2427, 616, 711, 2141, 538, 1482, 5123, 269, 4634, 952, 2370, 23545, 566, 568, 972, 267, 16058, 2247, 666, 18949, 519, 5639, 269, 278, 628, 2904, 476, 1220, 276, 693, 476, 1724, 281, 1428, 1948, 30156, 5379, 309, 6359, 599, 10817, 652, 454, 763, 29375, 302, 5911, 596, 616, 1201, 1359, 568, 2965, 681, 311, 543, 29255, 11202, 563, 305, 326, 1091, 279, 628, 2904, 476, 1220, 276, 693, 476, 5400, 281, 2767, 1948, 30156, 5325, 341, 6359, 599, 2144, 10817, 652, 454, 10521, 12904, 616, 1098, 543, 2132, 711, 570, 343, 543, 681, 343, 454, 341, 6359, 599, 23910, 280, 628, 2904, 476, 1220, 276, 693, 476, 1691, 281, 2420, 1948, 30156, 4366, 300, 15967, 10817, 652, 454, 11039, 538, 513, 1079, 5911, 10814, 594, 3768, 652, 663, 707, 7778, 827, 835, 5911, 547, 570, 343, 543, 519, 824, 835, 547, 681, 343, 267, 855, 1018, 827, 513, 1071, 32681, 10814, 609, 835, 18364, 1152, 269, 280, 628, 2904, 476, 1220, 276, 693, 476, 1691, 281, 1839, 1948, 30156, 5392, 300, 15967, 10817, 652, 454, 309, 6359, 599, 2144, 596, 2161, 968, 10521, 12904, 616, 1098, 543, 2132, 711, 570, 343, 543, 681, 343, 9731, 1432, 519, 3483, 540, 519, 2132, 5911, 286, 563, 3674, 621, 1031, 547, 681, 343, 27085, 0, 18662, 338, 543, 4132, 5516, 281, 5046, 268, 866, 454, 2005, 568, 1271, 602, 3025, 538, 519, 1153, 2146, 1491, 3268, 547, 2569, 5046, 268, 866, 6771, 267, 3226, 547, 1346, 693, 1164, 1981, 267, 1247, 13326, 519, 991, 547, 2226, 513, 2178, 1062, 602, 3927, 7028, 1453, 267, 6107, 267, 5234, 543, 2950, 563, 1607, 1907, 2488, 519, 3375, 6194, 5583, 585, 3506, 267, 1126, 1416, 267, 6107, 3292, 630, 328, 4318, 1421, 3786, 267, 5026, 267, 543, 824, 2146, 2238, 1916, 268, 12020, 267, 30334, 267, 543, 4578, 454, 10574, 543, 5583, 1472, 4507, 267, 2853, 267, 543, 2994, 602, 3506, 543, 1126, 1416, 3292, 666, 946, 547, 11126, 2069, 543, 5752, 547, 3895, 1072, 543, 3106, 1247, 19086, 4220, 1282, 519, 5046, 268, 866, 6855, 563, 268, 8881, 543, 4270, 5630, 454, 307, 8962, 543, 2200, 585, 3506, 267, 1126, 1416, 267, 6107, 3292, 630, 328, 4318, 1421, 3786, 267, 5026, 267, 543, 824, 2146, 2238, 264, 543, 3237, 547, 948, 1118, 3664, 827, 950, 547, 2611, 693, 1753, 267, 950, 547, 2132, 267, 543, 950, 547, 1205, 7318, 585, 1453, 543, 5234, 269, 26451, 6054, 602, 7291, 519, 4170, 585, 519, 946, 540, 3068, 3382, 902, 543, 2200, 547, 1489, 2790, 1072, 563, 268, 11120, 1988, 16065, 543, 8490, 30334, 454, 21980, 766, 585, 14910, 267, 1426, 3028, 267, 543, 7738, 543, 21149, 532, 6703, 563, 268, 23941, 540, 14451, 4065, 630, 296, 4047, 994, 5522, 8911, 5583, 585, 19086, 5046, 268, 866, 3262, 593, 13464, 543, 824, 4612, 633, 5583, 563, 5415, 1344, 568, 2139, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 849, 606, 5393, 1434, 18364, 269, 901, 1797, 621, 666, 1780, 998, 2011, 267, 23344, 538, 606, 796, 333, 6334, 1970, 20589, 1259, 269, 769, 519, 1184, 267, 621, 3123, 9211, 538, 519, 8444, 540, 2011, 547, 2744, 1648, 543, 7914, 547, 513, 811, 9599, 1533, 269, 1403, 519, 5201, 1185, 1044, 13576, 998, 824, 2326, 267, 621, 1131, 3132, 1114, 15437, 269, 1717, 267, 519, 3167, 4544, 2681, 568, 1419, 1031, 607, 513, 6041, 540, 17500, 610, 606, 3167, 8141, 267, 543, 621, 666, 849, 581, 1336, 538, 1978, 9362, 563, 1432, 798, 519, 1114, 4778, 540, 5201, 1611, 888, 2791, 949, 723, 8068, 602, 5122, 12904, 2097, 538, 513, 3099, 540, 4778, 269, 18833, 1018, 1142, 2681, 1797, 666, 581, 5363, 1282, 513, 3109, 719, 610, 950, 16459, 1007, 1769, 26892, 269, 4107, 5122, 12904, 4163, 1164, 28696, 267, 799, 666, 2014, 2800, 547, 2150, 11712, 3946, 269, 1280, 713, 2601, 267, 5122, 25255, 2681, 2275, 1712, 741, 12904, 269, 1677, 2057, 31495, 13133, 725, 543, 1761, 12178, 267, 596, 1058, 1451, 1018, 1142, 2681, 1797, 563, 25821, 4544, 568, 606, 1383, 540, 606, 7920, 12094, 540, 4544, 269, 634, 2012, 24865, 689, 519, 9357, 1242, 2415, 517, 3154, 602, 568, 3812, 1282, 606, 5122, 11166, 269, 20323, 267, 519, 2681, 729, 1572, 3167, 4544, 1813, 547, 519, 16657, 621, 3812, 950, 9357, 1242, 2011, 729, 5337, 1243, 269, 1809, 936, 519, 1296, 267, 922, 2495, 814, 9450, 547, 7854, 1114, 18707, 540, 4544, 269, 11272, 9095, 338, 3132, 1114, 18707, 540, 4544, 269, 769, 519, 7708, 1842, 335, 1877, 267, 1141, 5135, 543, 9436, 616, 519, 1292, 9362, 267, 891, 9095, 338, 3132, 13711, 543, 4544, 4778, 563, 4407, 972, 568, 1100, 2582, 2681, 602, 4564, 5201, 267, 972, 616, 4922, 7608, 3652, 602, 1827, 875, 12904, 616, 11954, 269, 6519, 543, 12457, 12904, 616, 9243, 26423, 267, 1247, 3039, 543, 11953, 7601, 4196, 607, 2666, 12904, 269, 4033, 4778, 267, 899, 3109, 267, 5815, 3905, 610, 9243, 1379, 26423, 269, 634, 3349, 2630, 2488, 1344, 593, 519, 1114, 4778, 1031, 538, 1585, 4525, 269, 1717, 267, 621, 1058, 581, 7074, 602, 519, 3044, 585, 5911, 2681, 9775, 676, 2197, 543, 1256, 676, 1826, 540, 5201, 1031, 563, 4692, 5201, 581, 1022, 2681, 888, 1103, 519, 4527, 540, 2011, 267, 5201, 5654, 4544, 269, 1879, 621, 10596, 998, 2011, 267, 9211, 689, 519, 8444, 538, 519, 2011, 2744, 1648, 543, 7914, 883, 513, 811, 9599, 1533, 269, 901, 1648, 568, 12261, 883, 1769, 267, 543, 519, 27141, 602, 568, 5950, 814, 513, 1808, 15423, 269, 769, 824, 9362, 267, 519, 1648, 568, 10736, 883, 513, 1114, 2681, 269, 1280, 1383, 267, 19440, 8279, 3132, 1114, 15437, 4470, 593, 519, 3154, 789, 616, 1500, 540, 269, 1452, 9362, 666, 3132, 519, 1482, 27280, 610, 513, 1114, 835, 4470, 593, 741, 1648, 2157, 563, 23409, 940, 568, 513, 2681, 267, 855, 621, 666, 849, 581, 1022, 2681, 267, 2687, 547, 519, 6323, 540, 5201, 269, 634, 1259, 5201, 7472, 1769, 568, 849, 4241, 269, 634, 1184, 540, 1769, 5137, 5673, 593, 519, 5201, 269, 7353, 976, 267, 799, 616, 6263, 5536, 540, 1769, 267, 2170, 609, 9211, 538, 8444, 269, 13689, 593, 519, 1648, 2157, 540, 519, 9211, 538, 513, 1570, 267, 519, 1769, 786, 2901, 2992, 610, 10110, 269, 8752, 940, 31211, 616, 2356, 1990, 580, 345, 698, 8032, 267, 543, 789, 10355, 5734, 519, 2666, 2047, 563, 3963, 568, 17500, 13711, 888, 23409, 940, 568, 513, 2067, 7613, 602, 4386, 1472, 519, 1158, 269, 4107, 17500, 31211, 616, 13711, 610, 4544, 538, 2681, 267, 855, 930, 666, 581, 2699, 267, 3039, 267, 610, 10538, 269, 634, 2681, 540, 519, 17500, 30021, 568, 5462, 676, 1082, 1114, 2188, 267, 1519, 519, 5790, 269, 589, 19711, 10445, 7472, 811, 982, 476, 1220, 271, 17500, 16716, 829, 5662, 267, 543, 519, 4778, 949, 4268, 7494, 4470, 593, 519, 2175, 269, 901, 2376, 786, 1865, 1946, 930, 17500, 16716, 616, 811, 7920, 982, 1866, 269, 634, 4267, 547, 891, 2055, 786, 948, 596, 1174, 17500, 543, 922, 1114, 4778, 563, 763, 2681, 540, 17500, 666, 4268, 3648, 267, 4470, 593, 519, 4670, 1031, 267, 8254, 267, 543, 3043, 3666, 269, 589, 17500, 8523, 8929, 593, 13472, 4670, 786, 3335, 723, 513, 13711, 27280, 267, 1247, 835, 1500, 609, 513, 1820, 4670, 786, 581, 5835, 269, 634, 3604, 1063, 4544, 543, 13711, 17500, 616, 11029, 267, 855, 519, 2164, 666, 1869, 581, 10875, 269, 1403, 596, 723, 2938, 513, 17500, 30021, 538, 2470, 267, 596, 4076, 2693, 2938, 621, 256, 3371, 779, 875, 621, 5654, 563, 1432, 2681, 568, 5201, 538, 2011, 888, 2691, 5201, 10596, 998, 519, 2011, 267, 621, 5526, 4544, 269, 898, 1281, 865, 676, 11543, 1648, 689, 2011, 8444, 685, 9211, 267, 799, 7914, 547, 606, 9599, 1533, 267, 32749, 513, 27141, 540, 1769, 269, 1717, 267, 824, 9362, 3132, 1114, 15437, 267, 799, 568, 1946, 19440, 8279, 2097, 538, 1114, 18707, 540, 4544, 269, 1717, 267, 519, 2681, 540, 5201, 538, 2011, 949, 4268, 5594, 689, 11046, 547, 11046, 267, 4470, 593, 922, 4478, 2175, 269, 1677, 1265, 856, 799, 7990, 5201, 568, 267, 2119, 713, 4603, 281, 4952, 606, 3167, 1699, 563, 25821, 4544, 568, 519, 2681, 2404, 609, 3167, 17579, 525, 269, 634, 2681, 779, 19826, 4214, 568, 1813, 547, 922, 9357, 1242, 2011, 16657, 267, 799, 568, 2813, 1282, 5122, 17579, 525, 269, 901, 6505, 3159, 729, 1101, 1031, 607, 513, 2681, 2012, 538, 476, 6642, 275, 269, 898, 568, 519, 14191, 2681, 547, 519, 3312, 19826, 2681, 543, 568, 849, 519, 1034, 4922, 1031, 538, 5907, 3937, 269, 1717, 267, 952, 596, 2461, 11842, 1018, 2681, 5201, 538, 2011, 5654, 899, 267, 2015, 713, 281, 2048, 26104, 4544, 685, 568, 519, 1482, 607, 2048, 19491, 3740, 4544, 8730, 855, 621, 568, 711, 607, 6505, 607, 19826, 563, 1432, 7822, 1772, 11272, 9791, 888, 1432, 568, 3167, 4544, 286, 901, 1769, 4544, 814, 513, 10058, 27280, 267, 513, 12094, 540, 967, 15282, 543, 642, 14489, 267, 543, 568, 513, 2442, 3903, 538, 519, 3059, 1374, 1158, 269, 898, 568, 1034, 4122, 1336, 538, 519, 2620, 7297, 540, 519, 5836, 267, 538, 6505, 5810, 267, 543, 538, 930, 21889, 269, 898, 568, 849, 513, 2442, 3903, 585, 7718, 908, 513, 4055, 267, 543, 666, 581, 1336, 593, 1082, 2010, 540, 17234, 267, 1519, 1225, 13935, 543, 15081, 565, 20712, 269, 1717, 267, 1018, 568, 519, 4644, 540, 3167, 4544, 888, 763, 15279, 1228, 31565, 3009, 585, 3167, 4544, 568, 1948, 278, 5263, 280, 13697, 269, 901, 2681, 814, 681, 16412, 2418, 540, 476, 5392, 267, 476, 9032, 269, 277, 267, 543, 476, 1911, 269, 901, 27280, 666, 581, 8476, 676, 14911, 4778, 899, 10538, 610, 14147, 269, 769, 1249, 267, 3167, 4544, 8424, 1134, 609, 3905, 11909, 269, 1924, 267, 950, 596, 2461, 3168, 585, 513, 1007, 2681, 10325, 585, 707, 1985, 2680, 267, 3167, 4544, 1522, 581, 519, 1655, 3903, 256, 1656, 1631, 267, 596, 666, 1265, 856, 519, 2495, 3297, 519, 2681, 676, 2542, 713, 2376, 563, 2026, 606, 1383, 267, 11272, 9791, 814, 513, 15067, 2784, 545, 2681, 10325, 7768, 540, 1614, 4778, 281, 674, 1276, 338, 807, 25968, 267, 22096, 25968, 267, 8752, 5682, 267, 543, 513, 3490, 2681, 630, 258, 278, 5263, 280, 13697, 1040, 634, 4778, 1369, 519, 15067, 2784, 545, 2681, 10325, 616, 711, 519, 1482, 267, 865, 596, 3580, 723, 547, 1404, 1472, 609, 873, 513, 3787, 269, 1411, 666, 946, 891, 4778, 1927, 609, 1142, 824, 538, 4999, 547, 1118, 513, 2189, 2681, 29984, 8198, 1432, 7822, 1772, 3047, 18514, 888, 6524, 476, 3192, 278, 267, 3618, 5911, 729, 3039, 269, 1717, 267, 2242, 547, 594, 7417, 6042, 32486, 602, 621, 581, 3039, 610, 5835, 269, 634, 1292, 3483, 540, 519, 3618, 10814, 568, 547, 1921, 519, 4496, 524, 2084, 540, 606, 5122, 27115, 547, 519, 2666, 267, 7551, 7303, 621, 689, 1373, 538, 1463, 3346, 609, 2661, 5911, 269, 769, 3069, 267, 3346, 609, 8825, 3618, 11443, 1058, 711, 2014, 606, 3167, 8710, 267, 855, 3346, 609, 2661, 5911, 610, 5547, 11443, 949, 269, 4475, 267, 621, 568, 1898, 602, 596, 917, 1018, 2681, 707, 3618, 5911, 568, 1354, 16459, 606, 5122, 27115, 563, 763, 2025, 5122, 11443, 7990, 3009, 1031, 3109, 610, 2699, 585, 519, 2661, 18364, 267, 4544, 610, 5835, 585, 519, 9243, 267, 543, 3039, 585, 519, 3618, 610, 8825, 18364, 269, 1715, 518, 1949, 946, 6960, 267, 4544, 267, 610, 3039, 585, 519, 2661, 267, 543, 3109, 610, 3039, 3917, 3641, 585, 519, 9243, 543, 3618, 269, 769, 3162, 4000, 267, 5122, 12904, 616, 1869, 13042, 609, 519, 2025, 7990, 9479, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 930, 2477, 538, 5607, 723, 741, 1378, 9479, 563, 16978, 3740, 11443, 2501, 538, 1114, 4778, 585, 3106, 4128, 269, 634, 4778, 540, 519, 12904, 5815, 519, 1599, 540, 519, 5122, 1062, 269, 2290, 5911, 7727, 5201, 547, 606, 27115, 267, 543, 519, 824, 29349, 519, 5547, 676, 5373, 2476, 519, 5201, 269, 1452, 1079, 12904, 616, 1572, 968, 331, 633, 892, 543, 968, 928, 23018, 270, 14706, 2223, 1247, 519, 3791, 5911, 568, 519, 3618, 5911, 269, 1411, 1058, 2141, 581, 6297, 547, 711, 3575, 519, 1079, 267, 607, 621, 1223, 1267, 538, 513, 5906, 5122, 3595, 563, 15062, 547, 10201, 1807, 654, 3430, 720, 454, 15062, 547, 7201, 634, 32431, 2986, 1323, 11272, 2961, 454, 27039, 593, 519, 2450, 540, 707, 2599, 267, 596, 666, 3313, 519, 3124, 1807, 26910, 720, 2838, 585, 707, 1286, 676, 10992, 856, 519, 2450, 540, 519, 3124, 1807, 269, 898, 568, 513, 1434, 2856, 547, 1205, 606, 3124, 1807, 602, 814, 693, 2483, 15152, 634, 32431, 2986, 1323, 11272, 2961, 5174, 340, 3539, 606, 3167, 1286, 666, 581, 513, 2462, 3375, 267, 855, 1354, 596, 798, 267, 1118, 2386, 596, 1174, 1018, 781, 2965, 896, 519, 26372, 269, 901, 786, 2285, 596, 513, 1732, 1620, 1862, 0, 24791, 667, 10638, 814, 1044, 593, 4473, 538, 5095, 2066, 519, 8608, 607, 829, 513, 1867, 3370, 538, 519, 3621, 4760, 27777, 18576, 4139, 269, 8899, 12192, 667, 2157, 1223, 2333, 1981, 540, 21404, 267, 18655, 267, 2530, 540, 5642, 5860, 267, 678, 1157, 1115, 1851, 1082, 824, 3676, 269, 1703, 616, 1896, 3173, 602, 616, 4974, 12192, 667, 585, 922, 2009, 4276, 547, 3676, 899, 3987, 267, 1164, 1973, 2604, 267, 2860, 267, 543, 16991, 2175, 971, 607, 2789, 26379, 269, 1284, 1205, 12192, 667, 689, 938, 2960, 799, 2306, 519, 2629, 7623, 2390, 4598, 547, 7943, 543, 849, 1585, 1426, 2959, 689, 4212, 267, 9761, 3165, 267, 10381, 267, 13386, 5144, 543, 25167, 3536, 269, 630, 9827, 1224, 281, 1772, 1932, 1454, 540, 12192, 667, 31362, 707, 1560, 543, 1018, 1058, 596, 1832, 538, 2247, 1247, 2921, 9360, 269, 20226, 2626, 994, 2467, 616, 1082, 2188, 602, 616, 3743, 585, 1970, 2157, 540, 12192, 667, 543, 621, 1223, 2039, 689, 1970, 4598, 547, 7943, 267, 2025, 2085, 547, 5312, 8459, 2068, 563, 2108, 9377, 11351, 540, 12192, 667, 814, 2799, 19951, 269, 1703, 616, 14758, 2139, 8192, 2959, 585, 12192, 667, 543, 1004, 616, 711, 3478, 6190, 7943, 269, 7216, 6640, 1107, 1354, 476, 279, 600, 1107, 4598, 547, 7943, 2337, 547, 5478, 12192, 667, 269, 10251, 267, 1813, 547, 27579, 543, 2663, 1813, 547, 646, 8157, 8430, 267, 1004, 1810, 1406, 723, 4598, 547, 3141, 269, 769, 930, 2665, 267, 1004, 7985, 689, 5312, 8459, 2068, 1813, 547, 799, 3742, 1106, 540, 12192, 667, 568, 711, 3812, 538, 519, 1560, 269, 6271, 2601, 1223, 581, 4731, 25388, 1632, 6794, 602, 5012, 547, 8519, 610, 1100, 10338, 540, 12192, 589, 267, 667, 661, 543, 918, 689, 938, 1426, 2223, 3081, 3220, 26006, 14205, 5055, 267, 13693, 656, 18378, 6925, 267, 654, 1442, 14551, 339, 11233, 267, 29180, 6239, 563, 2108, 1805, 745, 31227, 547, 1205, 707, 12192, 667, 2157, 909, 286, 634, 4704, 2039, 585, 12192, 667, 10638, 9775, 855, 1082, 2015, 10638, 454, 31333, 574, 8092, 8638, 1896, 4128, 585, 12192, 667, 10638, 454, 299, 871, 540, 7943, 281, 898, 568, 1271, 547, 1205, 6190, 7943, 2523, 538, 6640, 3108, 607, 938, 2960, 2115, 621, 547, 5478, 12192, 667, 269, 634, 3141, 779, 22292, 645, 630, 10013, 289, 264, 12345, 2170, 609, 513, 3940, 1572, 476, 278, 5937, 18449, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29518, 11939, 1062, 269, 634, 570, 1263, 932, 5622, 610, 7022, 540, 519, 13527, 781, 4604, 10924, 519, 1909, 540, 519, 29518, 30808, 607, 2212, 540, 519, 13527, 543, 519, 4457, 2146, 563, 763, 4258, 978, 670, 3019, 570, 1263, 13527, 729, 11368, 538, 12057, 538, 476, 3707, 280, 676, 11184, 20658, 667, 6737, 18000, 4258, 978, 24522, 543, 513, 8274, 540, 11565, 4315, 729, 4646, 269, 634, 18189, 14342, 540, 519, 29518, 30808, 3624, 267, 570, 1263, 932, 30139, 543, 2250, 17348, 5443, 540, 519, 13527, 616, 1671, 15590, 1441, 538, 513, 13617, 693, 519, 1394, 540, 519, 22402, 563, 763, 6189, 540, 519, 13527, 568, 14436, 540, 602, 540, 519, 8828, 16899, 540, 3624, 269, 634, 14969, 23598, 602, 11419, 519, 16538, 543, 9703, 540, 519, 11454, 941, 865, 6492, 2685, 2944, 602, 606, 5790, 540, 694, 1066, 640, 13315, 519, 21233, 269, 2480, 25333, 689, 4457, 27825, 609, 3140, 543, 3909, 4798, 899, 519, 834, 16248, 3751, 20819, 257, 543, 5487, 334, 570, 30349, 616, 13269, 538, 10367, 593, 519, 11454, 781, 16538, 6821, 269, 4706, 5386, 28028, 2759, 543, 13594, 695, 731, 1740, 19595, 803, 540, 519, 4258, 784, 674, 3430, 570, 2763, 631, 6416, 538, 6755, 836, 563, 13356, 32590, 540, 11344, 943, 14535, 1460, 525, 543, 22645, 267, 19806, 4040, 5810, 543, 27369, 21495, 1039, 26672, 712, 547, 713, 15999, 2679, 563, 5278, 540, 519, 1034, 4277, 4183, 540, 519, 11454, 666, 581, 1336, 3297, 519, 11454, 543, 972, 568, 513, 2497, 799, 4482, 1250, 3007, 269, 634, 9649, 4224, 1934, 568, 4904, 609, 1082, 6126, 3168, 19562, 1149, 799, 594, 3494, 6813, 513, 6429, 538, 3624, 563, 2467, 568, 849, 513, 6131, 7369, 585, 26286, 2696, 269, 634, 12137, 1127, 585, 519, 26286, 2696, 616, 2356, 6456, 18284, 519, 26749, 3349, 540, 538, 513, 1507, 4009, 8559, 17860, 539, 856, 538, 519, 3774, 269, 2290, 610, 1896, 26286, 29331, 540, 1585, 7306, 616, 5116, 538, 873, 563, 763, 661, 671, 619, 2161, 602, 519, 26286, 2696, 666, 7006, 601, 3983, 9939, 267, 6488, 27514, 4027, 267, 9350, 24986, 9002, 543, 4217, 538, 1870, 26136, 563, 310, 832, 327, 26802, 3142, 609, 873, 513, 1507, 4062, 540, 20230, 267, 513, 1507, 2179, 540, 30653, 267, 513, 4062, 540, 31949, 543, 606, 4212, 607, 5356, 547, 519, 26286, 2696, 269, 589, 2027, 1305, 540, 795, 1601, 1957, 568, 12349, 547, 13173, 713, 5356, 454, 9336, 2460, 540, 519, 11454, 6645, 513, 1650, 827, 519, 4457, 538, 5689, 3147, 320, 267, 741, 2729, 267, 741, 3661, 543, 741, 4145, 269, 901, 568, 9090, 835, 11454, 711, 547, 581, 14406, 538, 5689, 3147, 320, 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 ]
[ 616, 4101, 543, 991, 811, 942, 547, 4194, 269, 4746, 2143, 3435, 543, 2407, 3137, 616, 3769, 269, 5565, 2338, 715, 543, 476, 1626, 723, 700, 13967, 815, 476, 4366, 543, 717, 20003, 815, 476, 279, 269, 4855, 715, 269, 1403, 519, 1858, 540, 513, 5858, 568, 476, 10037, 7032, 4009, 3952, 267, 1265, 922, 18592, 563, 30357, 13192, 13195, 1372, 4976, 21658, 3211, 3446, 476, 274, 24349, 4976, 575, 1132, 560, 574, 520, 3626, 3211, 1453, 3211, 476, 273, 526, 3446, 25777, 3211, 16555, 3211, 703, 1905, 5966, 3211, 476, 279, 628, 3446, 2575, 3211, 28809, 4976, 7381, 625, 3211, 1236, 573, 600, 541, 1074, 4976, 18186, 2684, 9582, 3211, 1272, 7431, 790, 4976, 3454, 4976, 476, 278, 628, 3446, 2092, 7441, 640, 4976, 3210, 4976, 682, 539, 3211, 2577, 4976, 3211, 28395, 0, 11577, 21631, 827, 2436, 552, 30984, 1058, 581, 3656, 2213, 538, 519, 5177, 1376, 538, 519, 476, 6942, 271, 338, 269, 19672, 540, 519, 1686, 689, 519, 3735, 476, 866, 628, 2540, 547, 519, 2038, 476, 736, 628, 2540, 616, 538, 519, 13959, 2376, 661, 30984, 543, 19443, 11980, 1107, 3140, 5380, 563, 2026, 3877, 540, 519, 13303, 552, 30984, 10872, 2968, 1134, 1634, 538, 519, 1296, 1739, 519, 5822, 2622, 2782, 621, 568, 711, 9670, 602, 4901, 827, 3656, 2358, 552, 30984, 538, 519, 5177, 5747, 1524, 269, 1717, 519, 21816, 776, 661, 30984, 18489, 3175, 5980, 267, 799, 1185, 1044, 4646, 538, 476, 4350, 276, 267, 6854, 909, 519, 2604, 269, 589, 7521, 538, 519, 5600, 540, 700, 3581, 538, 476, 4198, 271, 1558, 609, 11566, 11685, 269, 1717, 519, 5980, 6591, 2178, 25380, 689, 7905, 3794, 534, 6807, 13879, 267, 606, 900, 5799, 543, 9565, 15818, 945, 6462, 519, 2564, 11318, 540, 2550, 945, 941, 11972, 513, 3765, 30514, 1272, 267, 1256, 952, 2067, 2669, 729, 711, 31873, 563, 763, 476, 3422, 272, 2672, 8336, 2920, 6569, 519, 3656, 20507, 585, 13986, 11980, 267, 4352, 21528, 513, 11980, 7283, 513, 3978, 7803, 1055, 775, 269, 1703, 729, 17105, 7521, 543, 4901, 827, 552, 30984, 4352, 621, 568, 4277, 602, 1454, 540, 519, 1857, 7521, 693, 519, 942, 1445, 338, 539, 593, 1453, 609, 4049, 9124, 267, 543, 519, 968, 6782, 625, 892, 540, 3237, 12391, 585, 971, 1453, 267, 945, 941, 3006, 968, 1721, 1027, 892, 547, 1491, 519, 1876, 883, 741, 3946, 676, 11318, 741, 1453, 269, 4329, 8942, 693, 3656, 2358, 552, 30984, 8959, 543, 538, 476, 3192, 279, 519, 21816, 776, 661, 30984, 5980, 3370, 513, 1582, 25298, 27412, 1572, 6651, 547, 8682, 5937, 601, 1853, 766, 799, 3177, 5796, 827, 519, 1034, 2500, 2081, 540, 22867, 11980, 269, 3502, 19599, 713, 3361, 7839, 15784, 543, 7521, 543, 519, 5980, 729, 5051, 2938, 607, 8589, 2213, 543, 3665, 563, 1103, 476, 1960, 275, 513, 8564, 9730, 540, 519, 5600, 540, 700, 3581, 593, 6481, 15979, 3370, 513, 2101, 1867, 799, 11943, 602, 4352, 972, 941, 1880, 2665, 1141, 552, 30984, 1522, 3100, 3617, 267, 968, 785, 1339, 2665, 1223, 711, 21230, 3715, 519, 5748, 540, 513, 3609, 799, 1131, 723, 971, 3978, 543, 7839, 29854, 1848, 589, 1895, 689, 519, 5600, 540, 700, 3581, 1185, 10272, 519, 13814, 543, 10656, 16654, 552, 30984, 9086, 1705, 711, 3100, 606, 10694, 4781, 538, 519, 5177, 269, 594, 529, 2312, 602, 519, 1646, 540, 2413, 23080, 14306, 1416, 538, 519, 5177, 267, 10660, 1229, 676, 3220, 595, 823, 569, 590, 16184, 619, 693, 853, 18332, 779, 9869, 823, 538, 5507, 267, 1185, 513, 1360, 9565, 1909, 538, 3246, 606, 4244, 547, 552, 30984, 269, 1306, 595, 823, 569, 590, 16184, 619, 11130, 267, 968, 2791, 1810, 1406, 723, 547, 6146, 519, 3461, 538, 1931, 547, 6146, 519, 1928, 3034, 290, 2086, 5218, 619, 2832, 585, 19443, 11980, 711, 552, 30984, 454, 5472, 2487, 8942, 693, 3656, 5314, 538, 519, 5177, 723, 1445, 338, 539, 593, 1199, 1227, 19443, 11980, 267, 2864, 982, 552, 30984, 269, 22411, 619, 723, 11943, 602, 21528, 11980, 568, 811, 11807, 547, 519, 1857, 267, 538, 1899, 609, 17454, 29509, 840, 21232, 725, 609, 1367, 3903, 543, 5191, 269, 769, 1857, 9840, 18793, 723, 1253, 2331, 2933, 689, 552, 30984, 607, 1316, 2213, 538, 634, 13814, 543, 19934, 269, 5502, 267, 621, 568, 11130, 267, 6069, 9086, 786, 581, 3908, 547, 968, 817, 12371, 519, 12955, 892, 540, 513, 1507, 1297, 540, 2165, 3373, 2192, 2043, 945, 6999, 547, 1439, 741, 2729, 563, 4913, 538, 4357, 267, 1082, 5859, 619, 598, 1027, 324, 602, 6069, 9086, 786, 711, 14183, 519, 3810, 1857, 2213, 2115, 540, 1346, 945, 616, 1360, 16094, 16981, 543, 8572, 547, 3479, 11980, 267, 6862, 1346, 945, 6999, 547, 5884, 855, 616, 711, 2165, 3373, 2192, 269, 3509, 267, 971, 607, 6307, 2782, 333, 1442, 267, 2543, 519, 3656, 5314, 540, 19443, 11980, 607, 519, 1101, 1900, 2509, 811, 2647, 23568, 12666, 5314, 540, 519, 1876, 547, 1450, 11980, 543, 23502, 11318, 538, 513, 2039, 540, 6381, 563, 1103, 476, 1220, 277, 519, 13747, 1480, 2924, 15818, 7083, 808, 4752, 324, 5189, 519, 2667, 13554, 667, 3539, 9291, 538, 519, 5600, 540, 700, 3581, 269, 4706, 2832, 729, 547, 3656, 1047, 19443, 11980, 538, 4789, 543, 12986, 896, 14553, 6417, 6381, 267, 1519, 513, 1272, 19104, 540, 1447, 982, 3670, 3275, 543, 968, 684, 321, 792, 762, 7092, 5608, 3989, 607, 968, 338, 4428, 1359, 267, 2436, 676, 2601, 540, 1928, 267, 11605, 610, 6382, 799, 519, 3461, 9060, 865, 4049, 607, 547, 581, 30849, 6100, 634, 9291, 729, 17204, 676, 513, 8917, 538, 519, 5600, 540, 700, 3581, 563, 1103, 519, 1482, 1032, 519, 21816, 776, 661, 30984, 5980, 4957, 922, 2012, 547, 2048, 291, 793, 640, 538, 667, 3539, 9957, 634, 3903, 540, 1913, 568, 267, 540, 1576, 267, 3810, 1713, 543, 12572, 540, 513, 7096, 1689, 538, 519, 6881, 540, 519, 7440, 585, 513, 1689, 538, 519, 1876, 269, 4595, 1287, 667, 793, 640, 538, 667, 3539, 814, 1831, 513, 3810, 2500, 25211, 532, 13539, 609, 513, 1297, 540, 13747, 543, 7986, 18793, 267, 1519, 1082, 1134, 8153, 28910, 4408, 563, 1103, 10430, 12540, 334, 5839, 291, 10735, 267, 513, 1360, 2442, 4759, 540, 519, 13677, 12057, 267, 5189, 606, 7736, 540, 5020, 26859, 9291, 267, 799, 6069, 602, 19443, 11980, 1058, 581, 2139, 547, 1346, 945, 1185, 968, 320, 12363, 4576, 610, 513, 12363, 2783, 892, 543, 945, 968, 22772, 741, 1272, 703, 11217, 762, 6100, 1306, 538, 4789, 519, 9086, 729, 1110, 8215, 593, 14822, 16654, 19443, 11980, 269, 634, 9291, 729, 17204, 593, 1896, 14026, 538, 519, 13677, 12057, 543, 5103, 12540, 334, 5839, 323, 10735, 779, 2669, 538, 476, 1001, 275, 689, 2067, 3123, 630, 9917, 1185, 11124, 689, 19576, 779, 8376, 585, 1082, 1296, 1070, 8942, 693, 10962, 2147, 9086, 3136, 269, 769, 476, 1001, 276, 606, 2667, 13554, 2672, 8336, 10430, 9291, 729, 17204, 538, 519, 13677, 12057, 563, 763, 24415, 935, 518, 2667, 13554, 667, 3539, 9291, 454, 1103, 476, 1001, 275, 7083, 24415, 935, 518, 5189, 1776, 9291, 585, 519, 3656, 5314, 540, 19443, 11980, 538, 4789, 543, 12986, 269, 634, 7355, 941, 2147, 547, 7083, 808, 4752, 324, 779, 4849, 1022, 10421, 602, 519, 1367, 1058, 723, 968, 572, 3164, 543, 30849, 7092, 892, 729, 4625, 6569, 269, 634, 2262, 532, 540, 519, 9291, 729, 1759, 5702, 593, 519, 4681, 540, 513, 476, 1001, 273, 8189, 6462, 676, 667, 793, 640, 538, 667, 3539, 543, 669, 8529, 676, 7083, 24415, 935, 518, 799, 7150, 267, 968, 2171, 16119, 3494, 621, 568, 1152, 585, 519, 1367, 7255, 547, 9794, 519, 6708, 540, 519, 7092, 3361, 676, 741, 4576, 269, 1284, 616, 849, 7255, 602, 513, 1268, 945, 814, 513, 12363, 4576, 1058, 711, 581, 2838, 547, 581, 2907, 7680, 30898, 792, 762, 7092, 547, 7662, 606, 19443, 2669, 282, 621, 1223, 581, 519, 19175, 540, 17191, 7092, 602, 646, 610, 1352, 1281, 711, 6999, 547, 1995, 602, 3947, 4473, 547, 519, 7662, 585, 6351, 3034, 763, 1867, 540, 519, 476, 1001, 273, 24415, 935, 518, 8189, 7150, 267, 968, 2171, 723, 3144, 593, 4604, 519, 2178, 4145, 6829, 676, 1082, 16981, 1004, 543, 798, 711, 2015, 602, 621, 1131, 581, 11807, 547, 2486, 693, 713, 1448, 538, 942, 547, 4363, 602, 513, 1875, 268, 32558, 958, 2192, 1268, 609, 1713, 2168, 23043, 1058, 581, 1500, 14718, 896, 1022, 2104, 9086, 547, 7662, 6351, 538, 10678, 1010, 610, 1200, 1272, 269, 634, 9837, 540, 519, 8189, 538, 2857, 2056, 602, 1022, 2104, 9086, 1058, 11863, 19443, 11980, 14311, 585, 1346, 945, 616, 2165, 3373, 2192, 543, 4481, 27195, 16981, 1004, 630, 684, 1652, 789, 616, 2165, 3373, 2192, 264, 568, 547, 3715, 513, 2312, 30431, 566, 1063, 519, 3498, 540, 19443, 11980, 547, 1004, 945, 616, 2165, 3373, 2192, 543, 1866, 609, 1279, 3856, 2175, 610, 23043, 269, 901, 568, 1945, 602, 519, 10615, 540, 5398, 1160, 15582, 779, 3609, 4867, 14543, 547, 3035, 269, 634, 10073, 540, 713, 11984, 538, 1022, 2104, 9086, 1131, 6494, 513, 2312, 5048, 547, 519, 3703, 1857, 602, 16981, 1004, 779, 2729, 616, 8449, 12595, 543, 602, 952, 519, 2048, 641, 1636, 29774, 685, 1281, 711, 2291, 519, 2048, 984, 5554, 566, 685, 3112, 1246, 538, 519, 5177, 3034, 2108, 4913, 5608, 519, 1867, 4797, 267, 968, 933, 616, 7255, 602, 1346, 945, 1522, 3858, 547, 4217, 513, 1875, 268, 32558, 958, 2192, 6068, 835, 267, 945, 814, 11124, 971, 513, 21472, 1272, 19145, 2680, 267, 547, 3479, 11980, 585, 28025, 17519, 4128, 1058, 3136, 547, 581, 5701, 676, 519, 1876, 609, 8296, 543, 1620, 3034, 2005, 568, 8037, 602, 519, 2262, 968, 24175, 8336, 892, 568, 5402, 14284, 538, 519, 2262, 532, 540, 519, 6069, 9086, 269, 5502, 519, 552, 1575, 1335, 2065, 543, 24813, 8360, 968, 817, 13554, 12955, 892, 568, 1031, 2429, 269, 8616, 1369, 519, 1560, 540, 519, 9291, 6351, 538, 12955, 568, 3989, 607, 519, 13310, 540, 6646, 676, 513, 4387, 547, 5512, 513, 2165, 3373, 2192, 1268, 547, 1439, 741, 1378, 1272, 269, 769, 824, 1913, 621, 4564, 513, 2101, 1689, 538, 519, 7803, 1876, 593, 11318, 543, 519, 4027, 540, 1480, 1272, 563, 763, 2262, 532, 540, 519, 3915, 2636, 606, 21528, 1072, 3318, 547, 912, 5416, 264, 5965, 24037, 4915, 585, 1582, 14194, 3439, 1674, 676, 519, 2165, 3373, 2192, 1268, 3248, 6357, 264, 5965, 513, 2564, 3926, 799, 786, 5512, 602, 1268, 547, 1582, 14194, 2381, 3563, 519, 4915, 282, 543, 454, 6262, 264, 4217, 602, 1268, 547, 3824, 652, 610, 6382, 1582, 14194, 2381, 3563, 519, 4915, 3248, 4913, 968, 1492, 3375, 547, 1582, 14194, 2381, 3563, 519, 4915, 543, 519, 3803, 957, 540, 3257, 865, 1590, 581, 3144, 676, 519, 1268, 585, 7247, 519, 4915, 814, 1044, 11311, 3034, 1103, 476, 1001, 275, 519, 9291, 729, 23503, 538, 513, 3810, 1857, 1242, 8400, 540, 519, 5600, 540, 700, 3581, 269, 634, 9291, 8959, 547, 3356, 267, 855, 513, 1360, 2147, 9291, 729, 5189, 883, 519, 5600, 540, 12780, 676, 12463, 7605, 631, 1551, 529, 538, 476, 1001, 276, 269, 901, 729, 20310, 569, 17204, 267, 609, 476, 20065, 13359, 1996, 3379, 609, 476, 14093, 538, 12797, 269, 2920, 643, 1235, 585, 19443, 11980, 12247, 539, 547, 4339, 593, 267, 19101, 602, 519, 8917, 4951, 602, 2818, 540, 12057, 941, 968, 5090, 10306, 3585, 856, 540, 5905, 609, 519, 3703, 1857, 593, 519, 3390, 9731, 763, 1893, 540, 519, 7521, 454, 2005, 568, 11495, 602, 689, 519, 1360, 4098, 267, 9840, 827, 552, 30984, 543, 11980, 723, 2141, 1044, 5127, 5271, 2683, 676, 22801, 543, 552, 1575, 1335, 2065, 1893, 267, 543, 621, 4667, 602, 713, 7613, 568, 3226, 1455, 538, 519, 5177, 269, 2311, 2547, 519, 10656, 616, 3551, 538, 741, 4901, 540, 552, 30984, 543, 21528, 11980, 269, 769, 519, 5177, 649, 2743, 552, 1575, 1335, 3359, 971, 607, 968, 534, 19443, 2669, 5608, 968, 2056, 7092, 950, 621, 3587, 30898, 792, 762, 5608, 968, 324, 848, 995, 2669, 5608, 968, 577, 4069, 543, 1852, 693, 519, 1439, 540, 1272, 5608, 968, 324, 2084, 519, 8429, 5608, 968, 1067, 322, 3814, 8323, 5608, 968, 17380, 4771, 11991, 7092, 693, 519, 1439, 540, 1272, 9731, 763, 1689, 538, 2140, 540, 519, 21816, 776, 661, 30984, 5980, 883, 667, 793, 640, 538, 667, 3539, 568, 3294, 3810, 1713, 269, 9453, 1991, 1702, 835, 1131, 6923, 8263, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 710, 1018, 1983, 610, 1702, 616, 2838, 547, 581, 2111, 547, 1685, 602, 1900, 269, 1452, 1983, 543, 454, 32474, 616, 1572, 29884, 1983, 269, 769, 519, 2063, 3992, 596, 4857, 519, 3268, 543, 2655, 10134, 540, 454, 1492, 1184, 602, 606, 4274, 610, 9952, 1268, 1131, 946, 547, 3914, 519, 3804, 269, 634, 29884, 1983, 454, 5417, 519, 1702, 543, 519, 1991, 1983, 602, 616, 2556, 547, 2347, 519, 3527, 538, 519, 1184, 563, 2690, 1383, 267, 538, 1931, 547, 1711, 513, 2596, 3561, 538, 9786, 6478, 596, 1131, 991, 547, 1930, 519, 1982, 267, 1826, 930, 1257, 267, 543, 1287, 4688, 519, 3561, 269, 1677, 2347, 891, 3268, 267, 596, 1131, 991, 519, 1983, 547, 7500, 513, 13691, 543, 7654, 513, 10856, 269, 1411, 1131, 849, 991, 519, 1702, 547, 581, 2111, 547, 7500, 513, 13691, 543, 513, 10856, 607, 1134, 607, 12398, 543, 1930, 519, 9049, 6478, 1982, 269, 1452, 1983, 543, 1702, 616, 29884, 547, 519, 3268, 543, 2655, 10134, 2838, 547, 3132, 519, 2596, 9049, 6478, 3561, 267, 543, 4061, 267, 4857, 607, 29884, 1983, 563, 3963, 568, 621, 1271, 547, 2697, 891, 29884, 1983, 952, 789, 616, 711, 851, 540, 519, 1292, 3268, 2509, 8236, 519, 3804, 286, 6969, 7900, 606, 2534, 4857, 538, 513, 1900, 610, 2655, 788, 267, 519, 6267, 1590, 630, 272, 264, 917, 875, 547, 1685, 519, 2534, 267, 543, 630, 273, 264, 4865, 519, 1983, 543, 1702, 2877, 547, 1685, 519, 2534, 269, 634, 6267, 949, 4865, 930, 540, 519, 2556, 1702, 543, 5924, 1983, 267, 855, 786, 991, 6044, 547, 10536, 519, 6967, 1702, 543, 1983, 269, 9453, 513, 2347, 11891, 540, 4143, 1702, 543, 1983, 267, 1271, 14292, 3334, 1223, 581, 31360, 563, 3086, 602, 519, 29884, 1983, 543, 7127, 1983, 723, 1044, 4857, 267, 621, 781, 942, 547, 1711, 513, 1007, 454, 6503, 24577, 602, 12222, 519, 3804, 267, 3268, 267, 2655, 10134, 267, 29884, 1983, 267, 543, 7127, 1983, 269, 901, 786, 581, 454, 323, 821, 1210, 513, 21712, 1935, 563, 763, 21712, 1935, 5932, 513, 1900, 8386, 9912, 15796, 540, 1983, 543, 1702, 2877, 547, 2347, 519, 3804, 269, 898, 4025, 519, 1034, 2596, 1344, 693, 519, 5377, 543, 13976, 2390, 1142, 20422, 1840, 269, 769, 14292, 1374, 267, 519, 7127, 1983, 616, 519, 2596, 1344, 602, 782, 6267, 786, 991, 547, 723, 538, 1931, 547, 8399, 269, 589, 546, 14414, 1899, 24508, 519, 7127, 1983, 689, 519, 29884, 1983, 269, 26361, 519, 7127, 1983, 616, 519, 29884, 1983, 4857, 607, 519, 1702, 543, 1983, 2877, 547, 2347, 519, 3527, 269, 8921, 616, 519, 2655, 10134, 267, 1287, 519, 3268, 563, 763, 6516, 2630, 14550, 513, 2596, 21712, 2095, 24577, 912, 2080, 568, 835, 1259, 547, 6516, 519, 5616, 3406, 2599, 3804, 1210, 513, 21712, 1935, 912, 30860, 602, 519, 7127, 1983, 616, 693, 519, 5377, 543, 9674, 689, 519, 1964, 540, 519, 6516, 609, 513, 546, 14414, 1899, 267, 543, 602, 519, 2655, 10134, 616, 22921, 689, 519, 5377, 909, 269, 901, 5932, 519, 15796, 563, 1103, 713, 2534, 596, 786, 2932, 519, 29884, 1983, 2079, 543, 1711, 513, 1007, 2095, 24577, 602, 454, 514, 11079, 519, 3804, 267, 3268, 267, 543, 2655, 10134, 689, 519, 3105, 2095, 24577, 607, 1134, 607, 519, 29884, 543, 454, 18782, 1983, 4857, 538, 713, 2079, 563, 7312, 7084, 1058, 581, 3812, 1210, 9786, 6478, 269, 634, 2140, 540, 713, 7084, 568, 834, 8138, 15453, 10341, 5811, 2668, 645, 2940, 987, 602, 267, 4283, 707, 2012, 267, 4757, 2232, 267, 543, 519, 4266, 269, 16440, 707, 7084, 1210, 519, 32197, 834, 11357, 15453, 5334, 330, 1571, 2668, 2991, 596, 723, 10710, 707, 3758, 267, 979, 547, 519, 2875, 8818, 543, 10505, 707, 7084, 585, 21249, 269, 8437, 1934, 952, 596, 991, 3606, 1344, 3823, 19169, 540, 707, 7084, 269, 0, 2691, 596, 1589, 827, 1373, 26531, 593, 519, 4155, 267, 1018, 798, 596, 4952, 286, 1684, 596, 1589, 827, 6704, 543, 6117, 267, 9991, 18069, 3297, 519, 8868, 610, 1257, 532, 2576, 888, 3080, 3364, 602, 1082, 1004, 1810, 1406, 8275, 568, 1175, 607, 16297, 532, 607, 1257, 532, 610, 19163, 609, 513, 18213, 568, 4189, 3297, 519, 8868, 269, 14856, 3297, 519, 8868, 568, 5906, 585, 782, 5686, 540, 4128, 267, 855, 519, 1292, 3390, 568, 602, 4189, 3217, 707, 2247, 1055, 519, 4155, 267, 707, 3946, 1055, 519, 8868, 543, 707, 4064, 1055, 519, 4155, 563, 28848, 3297, 519, 8868, 281, 589, 29144, 30411, 454, 6624, 1004, 1810, 1406, 1589, 827, 4189, 3297, 519, 8868, 607, 513, 30411, 1317, 621, 779, 3339, 585, 1004, 547, 1617, 527, 2532, 1247, 4189, 269, 1411, 1522, 581, 1031, 547, 3257, 6780, 1247, 4189, 12129, 267, 4189, 1247, 596, 4585, 7641, 610, 2348, 513, 10004, 1247, 596, 1931, 513, 7594, 269, 10251, 267, 950, 596, 2461, 6117, 267, 596, 991, 547, 581, 476, 1911, 260, 5059, 593, 519, 4155, 563, 7804, 1516, 609, 835, 1688, 4465, 1406, 2285, 596, 519, 1852, 596, 991, 952, 596, 723, 547, 1847, 883, 1776, 26738, 610, 3247, 10393, 269, 1411, 1522, 1831, 26531, 543, 3247, 9878, 3007, 547, 519, 4155, 952, 596, 21383, 1426, 610, 513, 4235, 269, 1403, 596, 1781, 651, 267, 1287, 596, 1223, 1265, 3054, 7231, 609, 513, 2564, 6595, 693, 519, 1482, 942, 602, 596, 616, 3843, 547, 5397, 707, 6174, 693, 513, 1164, 3432, 563, 2005, 568, 6157, 2352, 547, 3548, 543, 5397, 9108, 269, 4634, 1945, 607, 2241, 607, 6704, 513, 14614, 1247, 596, 2461, 3297, 519, 8868, 1223, 1291, 547, 596, 1373, 26531, 952, 596, 1491, 513, 2220, 580, 543, 723, 621, 979, 1524, 519, 4636, 10612, 563, 1432, 666, 596, 798, 547, 581, 10930, 950, 596, 991, 547, 3548, 888, 763, 1655, 4781, 568, 547, 6288, 1247, 596, 3548, 269, 1403, 596, 666, 1406, 798, 602, 543, 723, 513, 18213, 945, 666, 5397, 267, 2307, 873, 547, 3548, 741, 7594, 1101, 543, 1287, 1491, 936, 6117, 1247, 596, 723, 16523, 563, 7212, 596, 949, 711, 1745, 602, 4189, 568, 513, 3226, 3983, 30411, 267, 621, 666, 1118, 596, 513, 811, 5906, 9920, 543, 949, 1291, 547, 21611, 269, 5457, 267, 952, 513, 9920, 568, 26531, 693, 519, 942, 540, 513, 1286, 16154, 267, 789, 666, 581, 4371, 3743, 585, 519, 7063, 267, 14796, 543, 7972, 602, 2049, 269, 0, 23945, 1115, 899, 9370, 267, 19026, 543, 938, 1378, 616, 1500, 909, 5097, 540, 3623, 6510, 7725, 543, 723, 606, 4401, 4295, 543, 513, 6094, 32320, 518, 540, 1216, 543, 1272, 269, 4643, 1115, 4646, 538, 519, 2038, 2395, 540, 519, 7122, 616, 2693, 1114, 2443, 610, 15538, 540, 27948, 267, 16087, 1938, 543, 14776, 267, 2687, 547, 1007, 1382, 563, 7712, 476, 1220, 276, 267, 17651, 814, 1044, 705, 340, 3960, 609, 3377, 540, 7811, 10785, 1634, 607, 3327, 10785, 267, 849, 1572, 14776, 10785, 269, 9181, 687, 4797, 950, 18347, 729, 6069, 1394, 538, 476, 1220, 275, 547, 723, 4646, 513, 3327, 23752, 4295, 563, 1103, 519, 1007, 1353, 267, 12370, 19936, 6700, 602, 519, 1101, 2693, 3110, 3386, 10600, 1522, 723, 1044, 540, 713, 2186, 2443, 543, 891, 10785, 666, 581, 1336, 998, 10478, 513, 4686, 2186, 540, 6801, 563, 21893, 960, 2982, 602, 1256, 6801, 609, 513, 6263, 6824, 540, 519, 3327, 538, 938, 3859, 1062, 666, 3984, 10785, 2437, 1767, 1291, 2278, 543, 10927, 2875, 715, 7614, 773, 631, 1662, 1014, 267, 4946, 602, 972, 568, 2601, 547, 3494, 602, 9813, 1272, 607, 1134, 607, 602, 538, 519, 2038, 2395, 540, 519, 7122, 616, 3327, 2861, 267, 1175, 899, 1272, 593, 3047, 563, 1103, 519, 2215, 867, 658, 7122, 267, 621, 729, 6140, 7250, 543, 26775, 543, 9039, 540, 3327, 267, 5135, 543, 824, 2609, 2877, 676, 1272, 269, 8307, 2663, 593, 950, 519, 2038, 6801, 1011, 10757, 607, 31975, 2801, 1705, 1272, 23418, 15659, 10785, 4646, 563, 1103, 713, 1382, 267, 519, 2319, 9916, 2025, 6801, 1572, 3327, 10276, 327, 2331, 4496, 1790, 3233, 630, 4753, 6573, 264, 6801, 267, 799, 616, 606, 2438, 6801, 5627, 513, 6071, 835, 3620, 4348, 628, 6253, 748, 663, 628, 540, 519, 4401, 540, 519, 3141, 269, 901, 1797, 602, 789, 3357, 883, 1373, 1991, 547, 5230, 2609, 2527, 1947, 694, 5338, 2620, 2230, 563, 1607, 3927, 2306, 873, 15455, 689, 519, 2038, 7122, 2443, 5356, 513, 1413, 883, 875, 19236, 1949, 3459, 563, 4415, 519, 3668, 540, 4401, 543, 824, 5230, 2609, 10731, 538, 519, 3141, 267, 595, 4932, 303, 6801, 2226, 811, 3327, 982, 4397, 540, 741, 2085, 269, 901, 5732, 7506, 5250, 540, 10785, 267, 607, 3327, 7452, 9274, 1895, 1927, 547, 1711, 13545, 15918, 871, 9249, 563, 5804, 7192, 541, 267, 513, 3327, 4541, 568, 3833, 2352, 547, 10646, 689, 3047, 6438, 1949, 269, 4256, 7306, 543, 13999, 1131, 581, 3833, 2147, 267, 855, 19936, 1131, 991, 547, 16785, 519, 5449, 779, 5790, 547, 917, 621, 811, 703, 2954, 267, 971, 609, 3327, 24785, 543, 15655, 17158, 532, 713, 9490, 1158, 563, 8794, 519, 18302, 4480, 267, 10785, 1472, 891, 8093, 6801, 666, 581, 8179, 856, 267, 519, 3173, 11130, 269, 901, 4480, 19707, 585, 519, 6263, 16702, 538, 513, 11397, 5182, 779, 1769, 607, 606, 7164, 4541, 10596, 538, 4395, 269, 589, 1804, 6712, 540, 4857, 608, 26979, 1115, 2443, 10785, 602, 10739, 824, 10877, 2443, 941, 9571, 998, 621, 563, 763, 4681, 616, 2143, 538, 519, 4760, 13600, 569, 3502, 1182, 540, 519, 9576, 13562, 13929, 5980, 563, 288, 5094, 1353, 689, 26658, 2160, 2808, 12955, 6801, 513, 1390, 1747, 547, 6968, 585, 9813, 1272, 269, 1879, 789, 3914, 2025, 2085, 543, 1376, 547, 2196, 856, 540, 4492, 267, 1034, 6801, 2220, 749, 909, 547, 7366, 540, 2053, 741, 6093, 2450, 267, 1266, 5285, 532, 7404, 10785, 269, 4634, 10785, 1472, 12955, 6801, 267, 2705, 267, 666, 1869, 2844, 1272, 267, 2687, 547, 519, 1382, 563, 763, 4126, 568, 602, 971, 10600, 1223, 581, 561, 22133, 538, 519, 11397, 2104, 543, 6148, 1256, 17362, 1259, 547, 1272, 1175, 899, 3047, 2443, 513, 2707, 540, 27277, 585, 1272, 547, 849, 21707, 543, 3136, 538, 519, 1279, 2165, 269, 0, 303, 17123, 281, 1284, 5342, 713, 1788, 547, 1020, 513, 15164, 1505, 585, 11837, 9341, 24435, 3338, 540, 15622, 330, 23653, 6816, 32737, 513, 1449, 3135, 24568, 12868, 269, 10049, 543, 2409, 281, 634, 1505, 1759, 593, 3908, 8244, 540, 2361, 7403, 543, 513, 2647, 2039, 540, 20716, 2283, 539, 8901, 14449, 899, 16986, 15038, 1587, 267, 26827, 3041, 267, 543, 14924, 520, 4337, 7685, 269, 1284, 4294, 2244, 946, 7121, 1759, 10386, 547, 8831, 4540, 2361, 1239, 540, 24435, 11098, 269, 1715, 24435, 11098, 1239, 729, 6394, 676, 19309, 543, 21800, 5122, 5706, 2032, 29821, 630, 12224, 1040, 9122, 593, 20716, 2283, 539, 543, 2361, 1239, 5036, 267, 24435, 7851, 941, 16432, 676, 20533, 8901, 32319, 2718, 269, 3212, 520, 4786, 7194, 941, 6508, 1310, 476, 4335, 8255, 1519, 1611, 267, 11667, 267, 5934, 267, 5021, 267, 543, 30878, 2418, 269, 11778, 543, 4901, 281, 634, 8507, 7851, 2099, 519, 12145, 2418, 540, 4397, 24435, 11098, 1210, 476, 3445, 260, 6015, 1377, 269, 11778, 4951, 602, 18317, 307, 568, 5078, 585, 8159, 24435, 4494, 11098, 269, 4635, 4830, 5439, 267, 649, 1336, 602, 24435, 11098, 11236, 4043, 547, 21467, 560, 1493, 24435, 11098, 676, 1309, 269, 476, 273, 544, 538, 2489, 269, 1230, 7501, 281, 4340, 547, 11236, 267, 519, 24435, 4320, 540, 15622, 330, 23653, 6816, 568, 6059, 547, 581, 538, 519, 2039, 540, 476, 274, 269, 2764, 1700, 274, 269, 6812, 5998, 274, 269, 9736, 476, 1001, 280, 267, 634, 8191, 4433, 1916, 268, 22439, 281, 7629, 15530, 267, 717, 1421, 27659, 1731, 7224, 267, 590, 1421, 590, 345, 520, 332, 5451, 686, 267, 717, 1421, 9995, 1506, 822, 527, 686, 267, 589, 1421, 623, 27222, 345, 30004, 267, 700, 1421, 26701, 6359, 517, 334, 267, 589, 1421, 20703, 333, 5451, 337, 267, 717, 1421, 962, 25901, 267, 631, 1421, 590, 345, 2946, 651, 569, 267, 645, 563, 268, 8191, 10500, 559, 2747, 281, 715, 2752, 2975, 11206, 3194, 4659, 267, 2160, 540, 681, 807, 340, 267, 4659, 585, 14606, 3163, 543, 16581, 11061, 267, 14068, 534, 623, 1263, 330, 1690, 1014, 15854, 6755, 518, 777, 27979, 1855, 30893, 860, 328, 630, 21990, 8976, 1070, 661, 7238, 339, 341, 7238, 338, 31240, 5451, 526, 2160, 454, 268, 23527, 281, 11837, 267, 24435, 4133, 267, 6552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1603, 513, 4214, 1557, 912, 272, 10422, 10107, 519, 1318, 2262, 454, 2414, 2328, 513, 1390, 4214, 1557, 596, 991, 547, 4584, 519, 1318, 1888, 610, 2165, 547, 1445, 593, 269, 1677, 3442, 519, 1655, 2165, 585, 707, 4214, 1557, 267, 1118, 2386, 602, 621, 568, 912, 268, 13201, 1950, 2495, 454, 268, 2052, 1611, 1114, 1919, 547, 1114, 1004, 454, 273, 269, 12861, 513, 6952, 344, 13622, 454, 4131, 779, 3068, 621, 267, 1978, 4214, 1557, 1806, 666, 581, 19309, 1317, 971, 2474, 607, 2648, 267, 11505, 267, 543, 5876, 267, 723, 1044, 5941, 1932, 1082, 2053, 269, 1677, 1205, 3988, 685, 3007, 543, 1491, 707, 1557, 547, 519, 1985, 1377, 267, 1711, 513, 6952, 344, 13622, 256, 589, 1434, 13622, 568, 912, 268, 634, 1101, 4845, 540, 519, 1557, 4367, 454, 268, 31999, 547, 519, 1888, 454, 268, 21624, 543, 5924, 6397, 454, 268, 4856, 4046, 4637, 519, 2511, 540, 519, 1557, 454, 268, 4045, 338, 609, 519, 1543, 540, 519, 4367, 454, 274, 269, 5675, 4396, 5098, 3948, 454, 1103, 5098, 3948, 267, 596, 3580, 1683, 519, 1292, 2856, 540, 707, 1557, 547, 3988, 543, 2356, 621, 568, 835, 4845, 538, 519, 4367, 540, 707, 1557, 269, 2659, 5098, 3948, 1058, 912, 268, 2142, 2312, 543, 13801, 454, 268, 14484, 707, 1448, 540, 2070, 454, 268, 1234, 569, 593, 519, 7440, 538, 707, 1557, 454, 268, 2142, 25401, 5116, 1369, 519, 1543, 540, 707, 4367, 454, 268, 31160, 607, 513, 23988, 585, 707, 2898, 1557, 267, 1141, 1169, 4661, 1058, 581, 4143, 585, 713, 5098, 454, 275, 269, 10558, 532, 7526, 543, 7440, 454, 2171, 23125, 856, 602, 513, 2165, 540, 707, 3903, 1058, 581, 11722, 762, 543, 666, 1611, 1114, 1919, 585, 1114, 1004, 267, 799, 568, 1946, 1655, 4214, 1557, 1806, 616, 827, 2474, 602, 616, 7858, 4192, 543, 2014, 4655, 540, 8369, 269, 23985, 3768, 1815, 3660, 543, 23062, 762, 786, 1118, 513, 1390, 1557, 256, 5269, 2386, 547, 912, 268, 10558, 1079, 610, 811, 2798, 540, 2070, 454, 268, 3629, 7440, 602, 6961, 930, 2798, 540, 2070, 630, 7474, 17591, 707, 1292, 2856, 14121, 4185, 3948, 264, 4636, 454, 268, 14424, 543, 4334, 1114, 16752, 454, 268, 3629, 1806, 952, 2009, 454, 268, 14484, 707, 1378, 8226, 543, 1620, 540, 519, 2165, 267, 5031, 707, 1378, 16752, 454, 276, 269, 1230, 6984, 543, 6169, 15105, 454, 2662, 7241, 596, 798, 267, 2760, 30391, 519, 2956, 540, 1603, 8753, 543, 1287, 6169, 15105, 519, 2898, 3364, 269, 769, 3932, 267, 596, 786, 912, 268, 5681, 3405, 1125, 1883, 2798, 454, 268, 10163, 622, 707, 5098, 3948, 13288, 547, 1883, 7440, 454, 268, 5269, 2386, 602, 707, 3932, 568, 4143, 547, 4367, 543, 1560, 9433, 454, 268, 3680, 10962, 1007, 5013, 543, 4681, 454, 268, 681, 699, 611, 707, 1957, 543, 2638, 10259, 267, 8239, 267, 18685, 454, 268, 5269, 2386, 602, 519, 1292, 2856, 568, 5219, 547, 9846, 2429, 519, 2898, 1557, 454, 268, 5269, 2386, 602, 596, 4769, 1406, 5299, 4376, 689, 824, 2959, 547, 2057, 17096, 267, 1317, 621, 779, 519, 1655, 1259, 540, 3478, 519, 9803, 3446, 454, 3086, 596, 4076, 4121, 782, 519, 605, 4388, 267, 1577, 779, 8399, 547, 476, 274, 5140, 4214, 1557, 1806, 2519, 593, 1870, 7881, 267, 3929, 4987, 267, 543, 2686, 3261, 566, 547, 1294, 782, 540, 873, 538, 2962, 2336, 8340, 707, 715, 518, 323, 547, 8897, 707, 6780, 1928, 693, 715, 518, 323, 1518, 1547, 769, 4376, 269, 1306, 1279, 607, 621, 779, 3656, 269, 9462, 502, 492, 454, 19675, 4213, 581, 5683, 543, 13998, 3743, 610, 568, 621, 1932, 1454, 547, 2307, 286, 1306, 513, 2486, 267, 649, 616, 3810, 3222, 540, 519, 1909, 543, 1764, 540, 4213, 538, 1514, 267, 2804, 267, 8733, 267, 543, 2686, 5054, 267, 799, 568, 1946, 649, 2503, 3549, 547, 957, 19100, 543, 1589, 6619, 3079, 540, 2519, 9003, 593, 9746, 12374, 269, 634, 1523, 540, 1870, 7881, 1797, 7311, 5837, 3741, 547, 3375, 1818, 3157, 267, 1247, 5683, 3664, 723, 2484, 23568, 6286, 630, 310, 7860, 1506, 333, 267, 476, 1001, 272, 1040, 24371, 798, 711, 7500, 538, 12511, 543, 23366, 2170, 609, 3875, 4835, 543, 5007, 8639, 593, 513, 3232, 4493, 267, 799, 5267, 602, 3549, 1058, 723, 513, 23988, 610, 5943, 547, 2327, 5683, 3375, 1818, 693, 782, 2053, 269, 634, 1249, 602, 519, 1523, 540, 1870, 7881, 568, 711, 14931, 676, 1876, 543, 568, 2864, 3376, 2164, 538, 602, 1169, 1870, 11769, 11225, 621, 8335, 563, 4407, 7421, 519, 1523, 540, 1870, 7881, 621, 568, 1271, 547, 1174, 602, 4213, 991, 547, 3666, 741, 1378, 9746, 12374, 543, 1761, 1279, 3856, 2640, 689, 5683, 3375, 1818, 269, 769, 519, 2376, 676, 8895, 321, 805, 327, 630, 1001, 271, 264, 649, 1265, 2963, 602, 5683, 5539, 2501, 3791, 1310, 2804, 543, 3656, 9021, 269, 769, 1880, 267, 519, 1101, 543, 19466, 5539, 540, 16904, 568, 547, 1711, 2472, 602, 5561, 1616, 267, 1711, 6009, 267, 543, 5352, 12434, 267, 1247, 519, 2034, 5539, 568, 547, 16783, 609, 782, 4143, 4031, 630, 29727, 321, 805, 327, 267, 476, 1001, 271, 1040, 19078, 5539, 538, 1870, 538, 713, 5133, 4016, 547, 5870, 1514, 6788, 711, 2854, 607, 1876, 630, 29727, 321, 805, 327, 267, 476, 1001, 271, 1040, 634, 2101, 3390, 538, 10747, 1870, 7881, 568, 2147, 547, 519, 4214, 540, 7881, 607, 513, 2898, 267, 547, 581, 3169, 519, 1249, 602, 1142, 2754, 666, 723, 1114, 5837, 22315, 543, 1114, 6268, 540, 1018, 568, 4636, 543, 1318, 269, 4475, 267, 835, 1259, 610, 1776, 1870, 7881, 568, 827, 1739, 1978, 5837, 3741, 563, 19968, 7881, 568, 3622, 2404, 609, 3257, 519, 1318, 3364, 267, 799, 568, 6038, 1434, 538, 2013, 540, 5683, 3664, 269, 27526, 6199, 630, 1220, 279, 264, 2829, 602, 7881, 568, 24813, 543, 621, 568, 2352, 547, 6218, 2436, 513, 3375, 568, 1434, 610, 3983, 1813, 547, 519, 5318, 3099, 540, 4539, 269, 769, 3549, 267, 4948, 2238, 616, 711, 827, 6061, 2101, 5683, 21140, 267, 855, 11264, 27217, 4247, 267, 799, 568, 1946, 1870, 7881, 568, 20427, 1114, 689, 7881, 607, 513, 2898, 269, 769, 1249, 267, 1804, 3549, 666, 723, 5683, 9479, 711, 547, 2327, 5683, 3375, 1818, 267, 855, 547, 2087, 741, 3239, 543, 1711, 12572, 1871, 585, 8639, 630, 301, 344, 6199, 267, 476, 1220, 279, 1040, 769, 1840, 267, 2348, 606, 5683, 3009, 1281, 711, 2061, 3549, 689, 1818, 30907, 3664, 267, 799, 568, 6700, 676, 3875, 9746, 23215, 1023, 269, 15788, 267, 1870, 7881, 568, 711, 827, 19101, 547, 1246, 5683, 3741, 267, 855, 1818, 4052, 3268, 538, 5683, 3375, 1818, 543, 2921, 5539, 585, 1279, 3856, 2360, 540, 1699, 3527, 563, 3519, 8019, 267, 1870, 7881, 568, 2352, 547, 5581, 1317, 713, 2165, 15320, 585, 1142, 1870, 11769, 543, 666, 1611, 1114, 1919, 4470, 593, 519, 1604, 4213, 7500, 538, 269, 19078, 9021, 616, 711, 513, 10862, 585, 14078, 267, 7429, 2804, 543, 3656, 9021, 267, 1247, 2348, 5683, 3009, 1281, 711, 2327, 5683, 3375, 1818, 269, 15788, 267, 1870, 7881, 10522, 1614, 2629, 2609, 267, 12077, 3257, 1018, 568, 1318, 267, 4656, 827, 1279, 3856, 2360, 540, 1459, 3527, 267, 543, 4052, 5683, 3375, 1818, 563, 29727, 321, 805, 327, 267, 808, 269, 630, 1001, 271, 1040, 1215, 1281, 9746, 1514, 5539, 4324, 10909, 286, 15845, 689, 5245, 269, 3864, 6355, 5623, 2073, 476, 2420, 630, 275, 1070, 476, 30329, 1700, 32542, 563, 310, 7860, 1506, 333, 267, 808, 269, 630, 1001, 272, 1040, 589, 2203, 585, 5683, 3375, 1818, 538, 1870, 281, 25705, 267, 20932, 267, 543, 7787, 5837, 3741, 269, 4750, 540, 1870, 15979, 2073, 476, 10441, 630, 274, 1070, 476, 25313, 1700, 26825, 563, 301, 344, 6199, 267, 667, 269, 630, 1220, 279, 1040, 634, 13919, 540, 4948, 2238, 281, 3502, 519, 1318, 267, 855, 519, 1434, 3364, 547, 798, 269, 4750, 540, 6355, 15979, 2073, 476, 10037, 630, 274, 1070, 476, 6812, 278, 1700, 6795, 279, 563, 763, 617, 648, 17619, 2899, 1767, 602, 267, 968, 5591, 835, 30128, 875, 1454, 596, 917, 267, 2394, 789, 917, 875, 1454, 596, 1416, 892, 630, 307, 1042, 326, 1245, 267, 476, 1001, 277, 1040, 11569, 267, 3425, 616, 7068, 540, 7553, 2864, 982, 7954, 543, 4664, 616, 2565, 585, 721, 538, 4948, 1272, 267, 799, 1797, 602, 519, 1523, 540, 3929, 4987, 568, 2523, 1271, 269, 4004, 21899, 609, 824, 1004, 543, 16208, 741, 4664, 568, 1898, 585, 721, 547, 1118, 2500, 3664, 1759, 593, 713, 1344, 269, 20223, 3929, 4987, 568, 513, 2352, 4305, 1317, 713, 1523, 2882, 3099, 540, 1983, 543, 5759, 267, 1247, 519, 1184, 540, 741, 1646, 568, 711, 4628, 2312, 563, 2026, 513, 4341, 267, 3929, 4987, 8847, 1331, 519, 1523, 540, 5042, 5759, 540, 4393, 1344, 827, 4664, 269, 769, 519, 2376, 676, 2904, 518, 267, 21662, 267, 543, 645, 1513, 1228, 630, 1220, 279, 264, 649, 1265, 513, 10206, 602, 3929, 4987, 4016, 547, 519, 968, 1464, 547, 4163, 856, 4977, 7744, 5059, 593, 4664, 892, 607, 1134, 607, 519, 2702, 547, 946, 3929, 1702, 547, 3986, 2219, 630, 335, 269, 2004, 278, 1040, 769, 824, 1913, 267, 713, 4214, 4016, 547, 10442, 4664, 540, 824, 1004, 538, 513, 1978, 1259, 602, 6038, 2337, 2087, 519, 1184, 540, 3375, 1818, 676, 3246, 3606, 1344, 827, 519, 1604, 543, 3871, 269, 1717, 267, 538, 4214, 3177, 676, 6428, 913, 344, 267, 2904, 518, 267, 2961, 639, 334, 267, 543, 962, 5622, 630, 1220, 279, 264, 6920, 602, 3929, 4987, 4016, 711, 1152, 547, 519, 2702, 547, 1184, 1344, 827, 4664, 540, 824, 1004, 267, 855, 547, 13498, 267, 813, 571, 1047, 267, 543, 2769, 7553, 8308, 543, 3082, 1947, 269, 1677, 581, 3169, 267, 713, 18879, 593, 3929, 4987, 4016, 547, 513, 6626, 8552, 540, 1983, 543, 5759, 1317, 621, 9607, 519, 1909, 540, 11589, 4664, 538, 3210, 547, 519, 1604, 269, 15788, 267, 519, 1523, 540, 3929, 4987, 1281, 711, 723, 513, 3622, 7608, 4214, 563, 8601, 3099, 540, 8847, 267, 3929, 4987, 568, 827, 519, 2702, 547, 3927, 3082, 547, 519, 1604, 269, 715, 601, 529, 267, 2372, 1355, 22138, 267, 631, 1731, 565, 1690, 322, 345, 752, 267, 543, 17713, 26413, 630, 1220, 280, 264, 1533, 602, 3929, 4987, 814, 2185, 7516, 267, 1519, 3929, 1702, 267, 3929, 8446, 267, 3929, 13345, 267, 543, 3929, 7939, 269, 901, 4214, 540, 3929, 4987, 11887, 713, 2702, 607, 513, 1259, 1004, 4431, 547, 2604, 267, 799, 568, 1776, 2460, 540, 9542, 269, 2755, 4987, 568, 3989, 607, 519, 2702, 547, 1451, 543, 2601, 827, 1808, 1344, 267, 3929, 4987, 4016, 547, 519, 2790, 2702, 547, 2601, 827, 1344, 827, 4664, 630, 300, 9707, 1696, 620, 1421, 476, 1220, 279, 1040, 634, 2078, 1063, 3929, 4987, 543, 9542, 568, 1271, 547, 1331, 538, 519, 4214, 540, 713, 1523, 1317, 713, 2702, 5932, 519, 4493, 585, 1620, 824, 1004, 779, 4664, 543, 2769, 938, 1378, 4664, 563, 3519, 8019, 267, 3929, 4987, 4016, 547, 513, 3376, 8552, 540, 1983, 543, 5759, 267, 1519, 8446, 543, 1620, 540, 4664, 267, 741, 13345, 267, 543, 3384, 4143, 543, 7850, 3929, 3210, 269, 634, 1871, 540, 3929, 4987, 568, 10373, 1317, 713, 2702, 2337, 721, 3082, 267, 799, 568, 1946, 3929, 4987, 1058, 581, 3989, 607, 2500, 9542, 5578, 1759, 593, 7744, 540, 1344, 827, 4664, 563, 307, 1042, 326, 1245, 267, 717, 269, 630, 1001, 277, 1040, 476, 4649, 11121, 10530, 602, 1397, 519, 1379, 540, 3929, 4987, 269, 5549, 269, 8158, 689, 4179, 2517, 4178, 269, 4532, 2593, 17320, 20423, 2389, 1042, 326, 1245, 270, 4649, 15564, 25378, 6709, 4925, 6253, 520, 1606, 6011, 7308, 268, 5814, 766, 6361, 15041, 10899, 10784, 3485, 775, 11258, 454, 300, 9707, 267, 808, 269, 667, 1421, 21662, 267, 681, 269, 667, 1421, 1299, 645, 1513, 1228, 267, 590, 269, 717, 269, 630, 1220, 279, 1040, 5274, 5759, 281, 16508, 4987, 269, 7788, 340, 269, 4860, 269, 5369, 565, 269, 2073, 476, 6795, 2073, 476, 2004, 278, 1700, 276, 3607, 563, 21946, 913, 344, 267, 623, 1421, 2904, 518, 267, 808, 269, 667, 1421, 2961, 639, 334, 267, 667, 1421, 1299, 962, 5622, 267, 590, 269, 670, 269, 630, 1220, 279, 1040, 3848, 476, 1556, 281, 634, 2318, 6530, 540, 3929, 4987, 269, 22388, 9557, 2073, 476, 28656, 2073, 476, 6977, 1700, 21172, 563, 301, 601, 529, 267, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14679, 3854, 630, 31357, 264, 543, 4357, 9698, 630, 14154, 264, 7482, 547, 6318, 1804, 5666, 540, 3854, 676, 2810, 519, 1297, 540, 9520, 538, 513, 2508, 602, 3196, 519, 2508, 547, 11578, 896, 519, 20971, 7577, 2920, 630, 32177, 1040, 273, 8802, 626, 1229, 7482, 723, 547, 5781, 30035, 741, 5092, 14769, 543, 3068, 15407, 543, 824, 9993, 267, 543, 865, 966, 290, 543, 18027, 7482, 4043, 547, 2057, 2348, 547, 11578, 563, 6546, 568, 689, 513, 1007, 715, 21612, 2324, 1957, 676, 7812, 661, 342, 839, 543, 29315, 10787, 516, 5336, 839, 320, 563, 4517, 4319, 5062, 17682, 2465, 568, 5356, 547, 1491, 513, 1297, 540, 914, 338, 10704, 1472, 11236, 543, 29943, 689, 1010, 1007, 1433, 2859, 3245, 10815, 269, 3371, 616, 513, 1906, 540, 12448, 779, 12050, 11236, 602, 646, 568, 8348, 547, 914, 593, 998, 519, 7043, 645, 1115, 6498, 540, 519, 7043, 3767, 7690, 563, 268, 769, 476, 1708, 280, 267, 519, 2475, 786, 8532, 1447, 2698, 1648, 982, 621, 1705, 538, 476, 1001, 280, 563, 268, 769, 476, 1708, 280, 267, 519, 2475, 786, 3132, 1447, 2698, 2910, 273, 5434, 982, 621, 1705, 538, 476, 1001, 280, 267, 1256, 1310, 2921, 1055, 3333, 1681, 883, 2272, 563, 268, 3683, 519, 2947, 1296, 3056, 909, 547, 476, 1708, 280, 267, 519, 2475, 786, 946, 1447, 1957, 538, 2698, 982, 621, 1705, 936, 519, 2947, 1296, 3056, 909, 547, 476, 1001, 280, 563, 763, 1034, 4583, 7043, 5975, 729, 1063, 25303, 20873, 9116, 543, 26287, 613, 16890, 454, 268, 3683, 513, 4557, 4458, 1974, 862, 9760, 593, 5130, 476, 272, 267, 476, 1220, 279, 267, 543, 10678, 593, 5412, 476, 4029, 267, 476, 1001, 278, 267, 519, 590, 261, 303, 476, 4335, 786, 856, 704, 845, 513, 14769, 540, 7482, 540, 21963, 7482, 267, 950, 2773, 568, 6027, 593, 513, 4493, 2121, 540, 12375, 267, 3790, 543, 9276, 563, 289, 4428, 9116, 4465, 602, 914, 543, 12236, 936, 1269, 273, 2929, 9489, 585, 1010, 5172, 17493, 563, 763, 3483, 540, 7043, 645, 1115, 568, 547, 29360, 4661, 543, 7521, 543, 547, 1732, 5000, 1279, 3206, 269, 2353, 914, 3094, 11789, 979, 547, 17493, 563, 273, 269, 968, 2005, 779, 2009, 602, 538, 519, 1279, 2196, 267, 1287, 267, 649, 3068, 513, 3903, 281, 674, 12089, 2724, 3761, 269, 19577, 540, 960, 269, 29615, 12930, 3354, 269, 17292, 1079, 630, 520, 1034, 1040, 1215, 11670, 9607, 713, 2468, 12661, 2742, 786, 581, 4241, 547, 4585, 269, 1403, 711, 538, 476, 1708, 271, 267, 1287, 693, 930, 1448, 1848, 13017, 1934, 563, 275, 269, 13088, 585, 13710, 2219, 267, 676, 29871, 4223, 20415, 752, 543, 7812, 715, 1408, 11420, 269, 589, 1732, 1259, 540, 1565, 888, 2080, 568, 519, 2407, 4062, 269, 594, 6140, 3858, 267, 855, 4898, 952, 4914, 6608, 10093, 1406, 2907, 1044, 3257, 713, 585, 930, 942, 267, 855, 11876, 8973, 519, 1344, 2864, 982, 16089, 621, 547, 2824, 1977, 14761, 630, 7224, 2601, 547, 5000, 873, 2417, 267, 540, 1576, 1916, 293, 539, 1239, 1397, 1804, 8492, 616, 5329, 513, 19018, 622, 2179, 538, 14425, 267, 3448, 547, 741, 7221, 269, 634, 476, 1839, 4102, 2475, 8492, 4371, 606, 3328, 540, 476, 279, 829, 1298, 540, 741, 2698, 7221, 538, 14425, 693, 519, 1439, 540, 519, 2034, 10116, 267, 8957, 476, 277, 829, 1298, 585, 782, 824, 8492, 269, 11531, 267, 519, 2185, 4102, 2475, 8492, 2443, 808, 15014, 6716, 932, 848, 267, 7813, 540, 3013, 267, 13022, 580, 4981, 543, 28243, 674, 14417, 2443, 1927, 4371, 1269, 4391, 278, 16818, 538, 6666, 14425, 693, 519, 1439, 540, 519, 2034, 10116, 713, 1032, 267, 2484, 811, 982, 519, 6967, 476, 2641, 8492, 538, 519, 1283, 476, 1839, 563, 7712, 519, 2883, 6433, 267, 1804, 8492, 723, 1044, 8078, 539, 547, 2743, 513, 28880, 3795, 5223, 630, 9448, 305, 264, 2443, 513, 6712, 540, 1164, 7779, 7221, 971, 607, 6666, 14425, 543, 7066, 553, 3753, 602, 666, 581, 4421, 3533, 547, 1832, 519, 8279, 593, 585, 513, 3923, 538, 513, 6433, 269, 1809, 6042, 849, 2154, 873, 547, 3950, 12499, 1485, 28880, 2443, 6666, 789, 666, 5612, 1569, 2443, 799, 1281, 711, 1331, 7066, 553, 3753, 269, 901, 3606, 10421, 666, 4268, 4470, 593, 741, 1870, 3631, 267, 799, 538, 2490, 1217, 19217, 832, 685, 543, 981, 29794, 685, 4871, 10391, 7569, 269, 13079, 25150, 693, 1896, 1804, 8492, 2161, 713, 12662, 513, 632, 1249, 334, 14167, 593, 14425, 602, 9775, 676, 4871, 10756, 13553, 6709, 6621, 1239, 689, 519, 2185, 4102, 15395, 25963, 1397, 28243, 674, 14417, 4371, 476, 4375, 829, 1298, 540, 922, 1164, 7779, 5277, 7221, 538, 14425, 269, 808, 15014, 6716, 4371, 476, 2420, 829, 1298, 267, 7813, 540, 3013, 4371, 476, 1428, 829, 1298, 543, 13022, 580, 4981, 476, 1691, 829, 1298, 563, 28490, 596, 723, 513, 1360, 1804, 5834, 538, 513, 1906, 5238, 543, 596, 6336, 835, 610, 1079, 593, 1022, 1554, 267, 1287, 596, 616, 9561, 513, 2101, 6712, 540, 707, 7616, 2223, 1767, 13343, 21741, 659, 14024, 267, 8783, 10324, 693, 3162, 9335, 1530, 15247, 267, 513, 30549, 31066, 3742, 538, 2110, 3856, 7963, 6990, 269, 968, 305, 919, 723, 547, 6607, 13702, 564, 269, 898, 779, 2241, 2979, 3034, 2080, 568, 519, 2407, 674, 307, 2376, 563, 8310, 1032, 267, 930, 540, 519, 1482, 1382, 2319, 4080, 4466, 1950, 5214, 5672, 668, 26163, 1369, 519, 1216, 11517, 602, 941, 2693, 13735, 593, 519, 2627, 540, 661, 1338, 19921, 639, 685, 5836, 269, 901, 1032, 267, 789, 4553, 909, 609, 513, 811, 10427, 2079, 540, 1018, 12204, 540, 6675, 941, 15702, 883, 519, 5836, 1216, 269, 634, 7135, 1336, 1369, 661, 1338, 19921, 639, 685, 1216, 11517, 726, 6979, 267, 799, 616, 3743, 585, 1034, 540, 519, 1543, 540, 21275, 779, 661, 8258, 267, 616, 5156, 547, 581, 1459, 538, 519, 5277, 7449, 16577, 5836, 602, 6818, 18284, 519, 5045, 15393, 2864, 982, 1373, 519, 1267, 540, 12526, 607, 519, 1216, 1965, 7870, 689, 922, 7449, 16577, 7890, 269, 2334, 779, 1713, 1317, 1082, 540, 519, 9436, 543, 5135, 2861, 7135, 519, 3173, 9571, 616, 849, 1898, 547, 11254, 7408, 1934, 593, 3047, 7498, 28490, 519, 2175, 616, 1318, 267, 891, 6675, 4947, 689, 519, 2620, 5836, 540, 661, 1338, 19921, 639, 1223, 581, 593, 519, 1482, 5114, 13374, 607, 649, 1294, 1934, 593, 3047, 2223, 1767, 3143, 345, 1515, 10609, 1177, 24652, 267, 945, 3366, 519, 1382, 2319, 540, 519, 5131, 2160, 540, 12670, 269, 968, 2171, 1810, 1406, 2943, 917, 952, 11254, 7408, 616, 2877, 585, 1272, 3564, 3047, 267, 855, 4466, 519, 6675, 602, 1106, 11254, 7408, 568, 606, 1271, 4062, 540, 519, 11015, 1848, 10609, 1177, 24652, 779, 4681, 941, 3370, 4239, 269, 476, 273, 538, 519, 13600, 569, 3502, 1182, 540, 519, 9576, 13562, 13929, 5980, 563, 2080, 568, 2417, 1344, 563, 6546, 568, 519, 6249, 540, 1250, 5767, 25204, 6199, 6241, 267, 4063, 602, 519, 2856, 1131, 547, 930, 6708, 2759, 4357, 8492, 856, 540, 519, 10827, 566, 3830, 269, 3371, 568, 835, 21626, 912, 2304, 4244, 9183, 568, 602, 519, 3844, 4871, 16976, 547, 4283, 519, 5010, 23831, 1870, 267, 1454, 607, 707, 1699, 4871, 1281, 269, 4024, 519, 3844, 4871, 581, 513, 1732, 561, 2658, 982, 519, 4357, 8492, 286, 31598, 711, 269, 6239, 8492, 616, 15061, 676, 2470, 267, 543, 723, 1906, 968, 23085, 538, 519, 2146, 892, 607, 519, 8360, 568, 4122, 6956, 269, 634, 1439, 1267, 1131, 581, 811, 7482, 1031, 547, 4444, 27308, 7554, 543, 20251, 19736, 2443, 3810, 12250, 1242, 9541, 2443, 543, 7864, 12029, 547, 1507, 543, 4571, 13355, 2199, 4213, 563, 763, 2042, 2196, 4514, 2943, 269, 11038, 7939, 2306, 513, 5266, 9395, 11984, 1063, 8492, 543, 1875, 1532, 3471, 269, 24434, 723, 1569, 547, 519, 11033, 1062, 2047, 543, 2972, 824, 22864, 267, 543, 538, 2132, 741, 1981, 23824, 568, 14931, 811, 8185, 630, 2421, 711, 1152, 519, 12658, 855, 849, 824, 5313, 8041, 543, 2829, 1040, 589, 535, 842, 3663, 23492, 267, 538, 4334, 267, 30417, 1034, 4871, 6042, 267, 855, 621, 1590, 960, 998, 8492, 547, 1118, 11033, 269, 901, 6498, 540, 9021, 568, 20541, 267, 855, 621, 814, 4847, 1082, 2694, 540, 519, 772, 2529, 269, 4346, 547, 1332, 543, 3048, 622, 1510, 6849, 782, 540, 519, 6042, 13684, 593, 8492, 563, 1607, 5012, 547, 1250, 3119, 1843, 542, 547, 606, 4013, 2229, 552, 268, 2017, 6275, 281, 898, 1131, 267, 538, 1198, 267, 1118, 1082, 811, 2804, 5238, 811, 899, 8492, 269, 3683, 942, 267, 1346, 5238, 1131, 4440, 581, 14931, 811, 899, 8492, 267, 1932, 269, 1280, 3236, 267, 952, 519, 12658, 568, 2047, 23142, 11033, 1500, 676, 513, 4357, 2754, 267, 621, 1522, 581, 530, 776, 540, 5491, 1981, 543, 20818, 3854, 543, 15395, 4170, 593, 602, 2754, 267, 1454, 607, 621, 1281, 593, 8492, 269, 24434, 849, 1522, 29153, 602, 789, 616, 6849, 15490, 6735, 267, 543, 2307, 602, 5812, 6042, 581, 13684, 269, 769, 1022, 2013, 267, 811, 540, 519, 4346, 2693, 786, 581, 1641, 547, 2883, 7939, 267, 711, 1175, 519, 5266, 7522, 4295, 540, 519, 12948, 1062, 563, 8253, 782, 5647, 568, 1434, 5647, 563, 2507, 18872, 8083, 616, 28428, 519, 22359, 3150, 4346, 827, 1269, 274, 269, 280, 5479, 829, 1032, 267, 610, 10199, 476, 279, 269, 273, 2600, 540, 519, 2197, 779, 12654, 563, 296, 4280, 1946, 519, 22359, 3150, 2229, 666, 1406, 2322, 519, 4357, 18402, 856, 540, 1870, 269, 1261, 14452, 602, 3798, 299, 1496, 1492, 1533, 24804, 5201, 2754, 316, 568, 9561, 930, 1269, 272, 269, 274, 5479, 829, 1032, 267, 1247, 519, 4357, 18402, 616, 2921, 538, 607, 1454, 607, 1269, 273, 5479, 829, 3045, 636, 269, 968, 2005, 779, 513, 5458, 1870, 2223, 646, 1767, 267, 968, 663, 621, 779, 1360, 5906, 547, 15936, 609, 713, 1870, 3034, 2507, 301, 12112, 548, 267, 606, 4013, 538, 519, 6052, 12080, 267, 729, 16153, 1154, 602, 519, 11718, 544, 2378, 807, 536, 1026, 525, 22359, 3150, 14761, 547, 1118, 2386, 602, 3798, 299, 13978, 4617, 543, 3109, 8083, 6414, 7498, 9802, 320, 2549, 3405, 267, 513, 2203, 543, 4056, 538, 2142, 597, 583, 2507, 339, 1245, 803, 267, 968, 763, 835, 2601, 568, 538, 26288, 602, 649, 798, 711, 723, 5201, 568, 13313, 267, 10750, 543, 2241, 1848, 2507, 763, 3167, 7470, 267, 1352, 4797, 267, 568, 968, 320, 2890, 6523, 6193, 1383, 540, 875, 713, 2197, 8255, 3034, 6546, 568, 689, 519, 8521, 5765, 543, 5140, 1433, 676, 7917, 21563, 576, 267, 589, 7726, 540, 5295, 281, 24542, 543, 519, 32100, 540, 8315, 269, 0, 10000, 14079, 547, 4894, 18537, 454, 27246, 540, 6406, 2782, 454, 24404, 916, 538, 713, 1305, 630, 1626, 994, 292, 2675, 9464, 10553, 945, 729, 835, 540, 519, 1034, 9565, 20552, 1235, 540, 519, 942, 454, 19365, 32008, 717, 28207, 454, 13195, 513, 7986, 1977, 20552, 626, 267, 19784, 267, 3411, 4048, 626, 267, 543, 1514, 6963, 518, 269, 1261, 568, 1655, 1634, 607, 519, 9375, 540, 519, 20552, 626, 11356, 634, 8644, 518, 1807, 454, 25938, 29132, 22484, 13482, 454, 5575, 3084, 2021, 781, 2924, 15007, 282, 3135, 1141, 519, 16672, 540, 13329, 9323, 729, 2854, 454, 14582, 3971, 540, 1082, 4892, 538, 519, 4571, 268, 5197, 271, 781, 602, 2696, 5497, 519, 772, 2529, 269, 547, 4228, 31023, 454, 763, 476, 1321, 628, 5518, 540, 519, 2136, 2276, 267, 7674, 689, 4728, 476, 7277, 280, 2394, 1010, 2669, 538, 5147, 476, 6977, 271, 563, 18183, 12787, 1063, 6792, 543, 519, 772, 2529, 269, 602, 8694, 609, 519, 772, 2529, 269, 11543, 1852, 936, 1034, 11204, 8513, 538, 519, 22236, 454, 28347, 1282, 519, 11204, 1977, 2782, 269, 1261, 1031, 2494, 28685, 20121, 4176, 547, 1205, 11221, 454, 307, 805, 344, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 454, 307, 805, 344, 602, 8694, 519, 11204, 1977, 2782, 269, 634, 772, 2529, 269, 3893, 519, 11204, 595, 11970, 689, 713, 14097, 563, 20797, 540, 3850, 17037, 538, 513, 8513, 547, 6430, 2436, 547, 11863, 8474, 972, 454, 3682, 12723, 606, 1977, 1876, 547, 7333, 8474, 538, 1022, 8513, 9715, 689, 6792, 538, 519, 11204, 2782, 269, 634, 4655, 936, 519, 1008, 529, 334, 729, 835, 540, 519, 2101, 2621, 3056, 547, 519, 1977, 6406, 2782, 563, 15253, 668, 1047, 540, 476, 6977, 271, 454, 30210, 729, 15861, 607, 513, 1863, 1533, 269, 634, 674, 1872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 1044, 267, 543, 538, 930, 2665, 616, 1869, 1373, 267, 9447, 2066, 10430, 563, 4322, 3785, 941, 9447, 538, 513, 3099, 540, 5468, 543, 3238, 513, 1390, 4308, 540, 2962, 1382, 563, 2026, 513, 1267, 540, 713, 960, 513, 1297, 540, 4550, 268, 4167, 31791, 2200, 941, 3812, 896, 519, 5583, 540, 519, 13677, 6554, 7991, 8881, 5149, 543, 922, 12912, 6554, 27545, 6828, 563, 763, 13677, 6554, 1287, 25461, 606, 4065, 10430, 2324, 1895, 609, 17265, 891, 2200, 543, 8876, 856, 513, 10866, 2667, 4269, 10872, 865, 602, 519, 1655, 540, 891, 2200, 1223, 581, 1500, 2139, 547, 9439, 2066, 10430, 998, 519, 4065, 10430, 2817, 26094, 16735, 563, 763, 10131, 2680, 786, 581, 8118, 676, 519, 13677, 6554, 10579, 585, 7991, 8881, 543, 13751, 16457, 267, 7788, 8475, 548, 661, 9405, 269, 10801, 519, 1554, 2143, 1344, 827, 891, 2200, 543, 875, 789, 666, 581, 1655, 18611, 786, 581, 4843, 676, 513, 3099, 540, 10986, 543, 972, 786, 581, 3255, 585, 596, 547, 2263, 519, 2200, 563, 5522, 2167, 666, 581, 11603, 3842, 519, 3095, 2630, 676, 11016, 476, 1704, 628, 4924, 4231, 476, 1001, 277, 563, 300, 2153, 547, 9370, 568, 606, 11121, 267, 835, 6377, 267, 27317, 2680, 585, 3506, 543, 1153, 3401, 547, 1683, 5140, 8713, 291, 543, 4052, 2081, 547, 1491, 3450, 543, 1565, 4464, 609, 27317, 269, 634, 2680, 786, 13686, 519, 5767, 543, 1034, 3078, 2645, 585, 3506, 563, 1607, 2680, 786, 581, 513, 4960, 585, 3506, 547, 581, 6273, 609, 2093, 543, 3946, 6823, 1995, 540, 5499, 543, 3532, 2081, 547, 3986, 3450, 543, 1565, 585, 519, 1053, 540, 2221, 779, 6639, 1158, 563, 1607, 2680, 568, 5078, 585, 1153, 3610, 543, 3401, 689, 1312, 3119, 543, 6281, 5933, 543, 2066, 782, 5396, 269, 898, 568, 5078, 585, 3506, 693, 782, 5933, 540, 741, 27317, 3460, 563, 17582, 7749, 1826, 1107, 3223, 2106, 1774, 1299, 4052, 267, 3946, 6823, 2238, 454, 12812, 1934, 547, 1433, 281, 5291, 2517, 332, 1513, 11859, 2742, 16691, 16896, 27651, 21703, 454, 307, 11548, 827, 713, 2680, 256, 1948, 300, 273, 300, 454, 1805, 516, 777, 267, 519, 5403, 12392, 9752, 25890, 585, 3610, 540, 10648, 292, 786, 1376, 593, 476, 275, 5181, 476, 1001, 278, 269, 1703, 616, 513, 3908, 1297, 540, 4025, 2139, 269, 1323, 15632, 2680, 3217, 1747, 538, 29161, 593, 476, 1691, 543, 476, 1428, 5181, 476, 1001, 278, 269, 1703, 568, 1631, 513, 9365, 2985, 11341, 547, 713, 3318, 1565, 269, 7490, 3346, 20152, 269, 16942, 11333, 2593, 585, 811, 1344, 269, 901, 10872, 568, 4867, 4628, 14102, 676, 519, 13677, 6554, 269, 1280, 811, 1344, 267, 5225, 3643, 912, 763, 13677, 5441, 585, 12409, 15557, 630, 306, 4753, 299, 264, 568, 23072, 513, 5619, 540, 519, 3924, 547, 948, 1732, 1174, 799, 3029, 540, 3318, 1565, 616, 1034, 2500, 267, 1018, 3344, 540, 3318, 1565, 519, 3924, 29954, 790, 547, 7119, 538, 267, 543, 1022, 7496, 972, 949, 581, 950, 23072, 3318, 1565, 563, 763, 5619, 1058, 1491, 1472, 19939, 3764, 547, 2347, 543, 607, 513, 9684, 596, 267, 17013, 786, 581, 9411, 883, 513, 2721, 547, 3094, 513, 1433, 642, 537, 7815, 4502, 11278, 1911, 585, 741, 1153, 269, 634, 14656, 4266, 585, 6114, 568, 519, 476, 277, 628, 4728, 476, 1001, 278, 563, 8340, 856, 811, 827, 519, 5619, 1934, 454, 12812, 1934, 547, 1491, 519, 5619, 454, 306, 5746, 299, 307, 6663, 547, 1683, 1164, 7779, 3318, 1565, 547, 1489, 519, 3450, 543, 1565, 540, 4654, 2066, 782, 9922, 269, 634, 5767, 10872, 585, 3318, 1565, 666, 581, 1336, 693, 912, 2252, 596, 2154, 811, 1344, 267, 5225, 3346, 18078, 17106, 11333, 3820, 563, 288, 12576, 689, 9164, 693, 5651, 599, 5600, 3427, 540, 4065, 602, 789, 1869, 723, 5624, 593, 519, 14232, 9906, 11819, 4804, 538, 543, 998, 6657, 630, 4306, 299, 527, 303, 264, 634, 1576, 568, 4628, 14102, 543, 1813, 547, 1376, 593, 14349, 476, 2641, 5130, 476, 1001, 278, 4586, 8005, 568, 713, 1576, 585, 888, 268, 782, 3610, 12912, 547, 519, 2048, 743, 13831, 20131, 685, 1909, 538, 519, 9049, 322, 538, 17992, 894, 4804, 543, 9752, 454, 268, 4116, 23003, 945, 2503, 547, 581, 5885, 606, 10790, 12729, 609, 1032, 476, 274, 2875, 454, 268, 4116, 23003, 945, 2503, 547, 581, 5885, 606, 9049, 322, 538, 17992, 894, 4804, 543, 9752, 2875, 454, 5415, 1344, 543, 519, 2228, 1433, 532, 1106, 666, 581, 1336, 1934, 281, 0, 2108, 5978, 2250, 568, 11159, 539, 538, 938, 1459, 267, 543, 649, 616, 798, 15701, 547, 3765, 1211, 1518, 6000, 267, 607, 1279, 607, 649, 666, 1406, 798, 5126, 547, 1141, 649, 2097, 689, 1848, 910, 28846, 13177, 267, 589, 1530, 4788, 6520, 454, 314, 11133, 1499, 5815, 8934, 2639, 268, 4208, 2995, 513, 1650, 540, 519, 2242, 538, 2175, 540, 3661, 689, 476, 5611, 271, 547, 476, 1220, 271, 286, 4208, 711, 1175, 2285, 606, 2079, 888, 268, 634, 2601, 547, 2995, 513, 1650, 568, 602, 3961, 568, 2141, 8032, 676, 1620, 540, 1686, 269, 3776, 1620, 540, 1018, 621, 1797, 547, 581, 16712, 568, 13615, 909, 609, 938, 1620, 540, 875, 649, 3893, 1934, 563, 268, 5221, 3961, 568, 13615, 909, 609, 519, 2250, 267, 968, 11004, 568, 606, 538, 525, 5115, 762, 2507, 2696, 3146, 12401, 538, 519, 1360, 2470, 540, 938, 16712, 2085, 892, 630, 17989, 269, 476, 3066, 1916, 268, 3776, 2250, 568, 1459, 538, 938, 1699, 3961, 267, 543, 649, 865, 649, 666, 1406, 1174, 6000, 1510, 1620, 938, 2250, 563, 268, 1809, 538, 2070, 540, 875, 2462, 519, 4639, 568, 267, 972, 568, 811, 982, 835, 1650, 602, 1223, 581, 5143, 269, 901, 1433, 786, 1445, 593, 519, 3376, 652, 540, 6386, 540, 875, 519, 4639, 2968, 16712, 563, 12988, 547, 3349, 540, 9115, 563, 314, 11133, 1499, 5815, 8934, 2639, 268, 4208, 729, 621, 10416, 7543, 547, 711, 3494, 538, 2696, 538, 476, 5611, 271, 267, 855, 2221, 1082, 1265, 621, 711, 1152, 2653, 267, 855, 538, 525, 5115, 762, 888, 268, 1215, 1705, 606, 4244, 1831, 1589, 762, 547, 513, 2486, 602, 3592, 24080, 5156, 538, 2696, 888, 268, 2290, 2601, 568, 602, 1082, 3344, 540, 741, 1158, 1496, 528, 875, 789, 15508, 9112, 741, 1158, 316, 6462, 3661, 543, 1500, 2696, 779, 4527, 26837, 4192, 269, 8422, 971, 3344, 666, 581, 7074, 563, 268, 3689, 267, 519, 2067, 1158, 789, 5030, 538, 729, 6956, 547, 581, 851, 540, 513, 26355, 2813, 676, 2696, 267, 543, 2170, 539, 609, 676, 2696, 998, 726, 8046, 267, 610, 13884, 267, 3092, 563, 268, 5822, 267, 2696, 729, 6956, 547, 581, 519, 2014, 540, 2486, 267, 1317, 1480, 7239, 941, 16135, 538, 513, 2362, 4641, 563, 268, 12059, 267, 789, 5030, 538, 606, 968, 26067, 5896, 892, 1158, 630, 2254, 865, 1454, 4023, 625, 543, 791, 338, 267, 855, 519, 1884, 7716, 547, 32544, 779, 2856, 540, 519, 968, 4134, 26067, 5896, 892, 2413, 2783, 1040, 901, 568, 513, 1158, 540, 14326, 267, 1629, 976, 267, 543, 31305, 5837, 4229, 563, 268, 4658, 945, 5030, 538, 713, 2186, 540, 1158, 630, 5408, 476, 275, 268, 277, 264, 949, 711, 3494, 538, 519, 4168, 2696, 267, 855, 693, 2547, 538, 2342, 538, 519, 476, 5611, 271, 338, 267, 621, 729, 519, 4168, 2696, 945, 5462, 602, 1434, 1131, 6038, 17636, 538, 513, 1158, 899, 602, 563, 268, 1656, 267, 598, 14287, 267, 19473, 1143, 568, 10416, 796, 20459, 762, 538, 513, 2486, 602, 11099, 476, 275, 268, 277, 269, 1924, 267, 1018, 5949, 547, 1205, 721, 1934, 888, 268, 1306, 7150, 538, 519, 4367, 630, 5408, 3296, 476, 275, 267, 16948, 476, 279, 1070, 1018, 5949, 729, 811, 982, 513, 12408, 1650, 269, 1703, 729, 849, 991, 585, 513, 2318, 2272, 540, 875, 835, 1223, 12492, 2407, 1145, 538, 513, 1875, 3146, 31437, 1158, 563, 268, 1924, 13177, 779, 2272, 786, 3382, 1312, 267, 2696, 12424, 532, 689, 3661, 6730, 7713, 875, 1945, 3116, 1223, 1831, 519, 968, 27168, 9386, 892, 547, 968, 21459, 1145, 892, 585, 2413, 1004, 630, 5408, 4367, 267, 3296, 476, 273, 267, 8934, 476, 277, 268, 279, 1916, 268, 589, 1455, 12408, 1650, 568, 602, 609, 519, 4473, 540, 2257, 267, 519, 1158, 2968, 771, 26067, 5896, 630, 5408, 16948, 476, 277, 264, 543, 4061, 4503, 3661, 538, 2696, 267, 1932, 269, 1809, 713, 32753, 936, 1606, 574, 680, 5809, 1018, 5949, 269, 2598, 26067, 656, 618, 540, 519, 1158, 1705, 2253, 609, 519, 4473, 540, 2257, 267, 855, 1004, 1869, 5156, 538, 2696, 1247, 621, 729, 8345, 563, 268, 4634, 26201, 1996, 5939, 6392, 941, 711, 8209, 606, 957, 1996, 2696, 267, 1317, 1082, 540, 891, 26201, 5949, 538, 519, 2012, 540, 824, 13039, 610, 3038, 2064, 563, 268, 1323, 25356, 12408, 1650, 3081, 602, 519, 16712, 2085, 729, 1312, 771, 26067, 656, 618, 543, 519, 535, 8172, 540, 2696, 779, 4527, 538, 782, 1614, 11890, 630, 5408, 476, 275, 268, 277, 264, 1500, 4244, 24300, 540, 13919, 543, 2407, 1145, 2009, 563, 268, 13177, 733, 3949, 602, 1256, 713, 7778, 568, 1932, 2241, 269, 2368, 538, 519, 30028, 949, 723, 2219, 713, 1259, 267, 855, 585, 8723, 2482, 1004, 267, 519, 6436, 4769, 1406, 2048, 6618, 685, 609, 873, 563, 268, 1548, 729, 2877, 547, 1118, 891, 8925, 2009, 729, 513, 1007, 2631, 540, 519, 1582, 543, 922, 1747, 538, 519, 26355, 563, 2108, 2254, 1930, 543, 24338, 543, 7925, 547, 513, 1158, 540, 14326, 543, 7060, 267, 855, 1018, 594, 1616, 547, 1289, 2048, 321, 4428, 1229, 9538, 892, 630, 2457, 476, 2767, 994, 268, 634, 1875, 7308, 2065, 7881, 540, 519, 25384, 1158, 630, 5522, 6737, 267, 853, 334, 6291, 267, 17127, 264, 6035, 930, 2337, 2509, 2813, 713, 1007, 2631, 540, 1582, 267, 855, 1152, 968, 854, 13148, 2223, 1317, 891, 7881, 941, 1869, 4956, 569, 13883, 1369, 513, 3677, 5289, 26355, 563, 268, 2368, 1522, 1448, 547, 29980, 675, 22675, 607, 513, 5078, 2802, 545, 689, 799, 840, 2173, 18344, 985, 1223, 1628, 513, 1007, 1582, 269, 901, 568, 3020, 547, 513, 4110, 630, 299, 340, 4038, 3780, 729, 1271, 547, 6424, 670, 2541, 1040, 1809, 2413, 1143, 2877, 811, 982, 29980, 675, 534, 7881, 269, 898, 2877, 606, 2802, 545, 609, 519, 2702, 547, 8362, 3337, 2486, 602, 729, 12592, 676, 513, 6161, 585, 1480, 1434, 269, 26243, 267, 621, 2877, 513, 1434, 10682, 585, 519, 4168, 10206, 540, 989, 1901, 2648, 563, 268, 968, 2304, 11807, 1106, 540, 12600, 1480, 1143, 1185, 547, 581, 2813, 267, 543, 713, 7948, 1406, 581, 2944, 16074, 3034, 268, 1635, 519, 3735, 476, 5197, 271, 338, 649, 798, 723, 1346, 4244, 4978, 543, 4244, 6589, 540, 519, 1582, 4646, 538, 2486, 267, 855, 1256, 602, 729, 513, 14758, 1533, 540, 16712, 640, 602, 1018, 649, 723, 2221, 563, 12988, 547, 3349, 540, 9115, 563, 17395, 312, 570, 2207, 5960, 5442, 21850, 29767, 281, 476, 272, 264, 1530, 4788, 1143, 476, 272, 267, 476, 273, 267, 543, 476, 274, 282, 476, 273, 264, 519, 2175, 540, 3661, 282, 476, 274, 264, 513, 1747, 540, 2407, 1145, 282, 476, 275, 264, 2318, 9386, 282, 476, 276, 264, 2942, 9386, 282, 476, 277, 264, 11689, 1242, 1647, 2783, 282, 476, 278, 264, 7722, 543, 771, 1263, 3042, 29459, 282, 476, 279, 264, 14255, 633, 543, 14436, 6502, 282, 476, 280, 264, 16637, 775, 543, 1799, 534, 775, 267, 476, 1015, 264, 1582, 25252, 1553, 532, 1480, 1143, 282, 476, 1556, 264, 16712, 1436, 3069, 282, 476, 1321, 264, 12408, 2984, 563, 314, 4089, 476, 272, 316, 769, 519, 4367, 547, 589, 1530, 4788, 6520, 267, 13177, 5956, 676, 10747, 16712, 1143, 269, 1261, 4967, 1614, 16048, 2081, 547, 5581, 621, 269, 1530, 4788, 1143, 476, 272, 281, 519, 2530, 540, 2696, 2389, 1779, 538, 1857, 2230, 269, 1530, 4788, 1143, 476, 273, 281, 519, 14897, 766, 540, 3661, 538, 2696, 269, 1530, 4788, 1143, 476, 274, 281, 519, 2175, 602, 1118, 5132, 610, 796, 10964, 3971, 2009, 269, 589, 1530, 4788, 6520, 786, 1353, 16712, 1143, 476, 274, 563, 314, 4089, 476, 273, 316, 26243, 602, 1797, 713, 1433, 786, 2709, 606, 1202, 3187, 1413, 693, 519, 5030, 2175, 602, 1500, 621, 2009, 585, 1004, 547, 32230, 540, 513, 1158, 538, 799, 2696, 543, 4984, 941, 1100, 3476, 2556, 2694, 267, 543, 941, 693, 1655, 1152, 835, 4781, 1851, 1082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 10743, 609, 3908, 5075, 991, 513, 1617, 529, 29022, 1935, 547, 1565, 547, 1020, 2407, 7924, 1983, 602, 786, 2063, 2429, 1272, 267, 1053, 609, 1970, 5075, 1058, 1382, 9727, 602, 13148, 8289, 539, 4079, 945, 946, 2909, 4068, 616, 811, 1250, 7385, 543, 1775, 1185, 513, 4901, 609, 938, 5067, 519, 10543, 602, 621, 2968, 2312, 602, 563, 1103, 713, 3126, 540, 3594, 267, 649, 4312, 4553, 2984, 689, 519, 1570, 12583, 540, 649, 723, 14360, 519, 7344, 1646, 540, 519, 7828, 998, 2112, 267, 1589, 540, 5813, 267, 1579, 1513, 32484, 267, 1086, 30679, 20160, 267, 5075, 538, 519, 2631, 540, 21184, 27260, 14112, 8289, 539, 1145, 1281, 711, 1860, 707, 2673, 5346, 5075, 267, 855, 621, 1281, 1860, 707, 2702, 2673, 5346, 3615, 3622, 1869, 2408, 2312, 267, 1317, 519, 1769, 12345, 4283, 269, 5131, 519, 5075, 4574, 267, 3594, 267, 543, 1382, 4574, 519, 1101, 7113, 545, 3568, 519, 12001, 31894, 543, 519, 521, 4897, 571, 3384, 2312, 1606, 32484, 5075, 563, 14112, 1606, 32484, 1145, 630, 3240, 18701, 264, 2356, 4386, 950, 519, 4064, 1332, 5594, 1932, 1279, 267, 799, 621, 781, 711, 2312, 4010, 1946, 713, 4523, 267, 855, 621, 781, 2219, 547, 581, 519, 1267, 540, 513, 543, 2825, 2188, 602, 7519, 519, 3339, 1646, 540, 519, 3750, 269, 0, 5226, 7627, 14327, 538, 606, 1557, 454, 4002, 707, 8100, 2985, 267, 596, 786, 1152, 1592, 519, 2707, 596, 2965, 1224, 281, 1463, 24185, 1369, 513, 3625, 19722, 538, 5595, 19722, 7436, 269, 12370, 26159, 281, 14327, 7933, 1311, 24185, 14327, 952, 596, 616, 844, 7627, 2576, 2262, 16519, 30087, 610, 1210, 2576, 3116, 781, 2093, 610, 269, 2372, 7627, 568, 1141, 596, 5299, 606, 2278, 781, 1257, 2262, 585, 2262, 267, 1747, 19722, 7436, 1472, 519, 1913, 543, 1039, 513, 11239, 693, 519, 1439, 540, 519, 10839, 10530, 1058, 581, 563, 21995, 4808, 585, 19696, 2959, 538, 519, 1257, 540, 707, 1957, 950, 1210, 519, 15986, 267, 16643, 267, 669, 8522, 267, 607, 320, 267, 610, 512, 12350, 1014, 2511, 10274, 269, 6258, 875, 547, 13712, 2093, 543, 24185, 689, 824, 2959, 5265, 538, 16643, 2511, 891, 14292, 3817, 1445, 593, 2239, 543, 2385, 16375, 14327, 269, 1403, 596, 2811, 19696, 6965, 267, 1287, 596, 3513, 723, 547, 13712, 519, 3515, 540, 519, 10839, 729, 2854, 538, 519, 4890, 1560, 540, 707, 1557, 27260, 2691, 8600, 513, 1382, 1957, 267, 621, 781, 1271, 547, 917, 519, 3652, 585, 11239, 267, 2523, 607, 789, 829, 1555, 547, 19722, 7436, 2687, 547, 519, 2413, 1893, 1547, 595, 1746, 538, 519, 1257, 10834, 519, 4143, 4704, 538, 519, 1257, 3040, 513, 1297, 538, 25436, 5296, 3898, 267, 5116, 538, 519, 1257, 540, 519, 1557, 267, 6920, 519, 269, 595, 1746, 519, 1568, 602, 835, 568, 24228, 2093, 689, 585, 513, 1957, 568, 2565, 711, 3257, 865, 568, 2808, 17096, 538, 17856, 14327, 616, 513, 2629, 3693, 538, 1603, 513, 269, 18391, 585, 606, 15986, 538, 17856, 11239, 543, 2385, 16375, 3391, 3173, 1039, 10530, 610, 1344, 689, 2835, 267, 7270, 267, 13746, 267, 543, 1082, 824, 2707, 563, 763, 1957, 1590, 581, 5595, 17898, 3166, 538, 922, 30810, 267, 1519, 24185, 267, 4967, 267, 543, 4063, 519, 7158, 540, 519, 19722, 7436, 267, 11239, 267, 543, 1974, 693, 519, 1439, 540, 269, 634, 14327, 596, 786, 1683, 1369, 519, 1257, 540, 707, 1957, 786, 948, 707, 5467, 513, 264, 547, 917, 945, 1767, 519, 1913, 596, 20926, 610, 22950, 337, 1078, 267, 543, 269, 1849, 684, 5652, 11707, 543, 24185, 1500, 909, 540, 12673, 540, 2347, 5220, 689, 3544, 2959, 786, 936, 12741, 707, 3312, 4555, 630, 5408, 849, 281, 4081, 269, 11657, 532, 2959, 1753, 513, 2870, 513, 2707, 1592, 7650, 536, 19696, 2959, 7650, 524, 5363, 23456, 546, 15986, 476, 272, 1557, 3898, 476, 273, 11249, 513, 269, 594, 2465, 324, 538, 17856, 14327, 2874, 540, 2338, 3177, 538, 4009, 2016, 2059, 609, 519, 11239, 1297, 1369, 519, 1292, 1257, 540, 519, 1957, 952, 596, 616, 563, 5226, 7627, 14327, 538, 606, 1557, 454, 288, 11985, 630, 26410, 5626, 7681, 264, 568, 1034, 4122, 1031, 547, 13712, 2959, 1369, 519, 1072, 9443, 543, 1514, 9443, 4610, 269, 595, 1746, 2575, 2959, 538, 707, 1557, 543, 15853, 910, 519, 476, 1220, 278, 4528, 1496, 10472, 568, 606, 9450, 4528, 540, 513, 3561, 23608, 689, 7262, 781, 1810, 530, 2431, 269, 2160, 540, 1608, 4727, 267, 10874, 18403, 1557, 2497, 543, 11239, 4808, 1018, 13408, 513, 25401, 9112, 1557, 538, 2489, 267, 1434, 3594, 723, 513, 2312, 269, 1403, 596, 616, 19696, 707, 1378, 1603, 689, 513, 1957, 11643, 585, 513, 3105, 1576, 267, 1287, 596, 1131, 3622, 13712, 621, 607, 606, 10002, 21242, 12377, 563, 18744, 946, 1463, 10530, 950, 972, 568, 1100, 824, 1259, 585, 596, 547, 1533, 602, 2856, 1022, 1732, 1934, 616, 930, 1806, 540, 875, 547, 13712, 2959, 538, 519, 269, 8550, 7696, 513, 10839, 610, 513, 22950, 19189, 23589, 569, 883, 707, 1603, 1510, 1101, 547, 607, 519, 4672, 1505, 540, 10128, 10530, 281, 6338, 267, 13712, 267, 543, 1287, 2491, 563, 4504, 18166, 513, 19722, 11249, 513, 19722, 5309, 9822, 908, 609, 19722, 7436, 609, 2110, 24185, 267, 1747, 14327, 3544, 540, 14656, 19722, 7436, 11783, 6034, 10530, 713, 8470, 2982, 596, 875, 547, 4704, 513, 1463, 19722, 621, 1058, 581, 798, 711, 25657, 24185, 609, 14327, 513, 11239, 568, 519, 269, 4828, 10530, 543, 14327, 616, 513, 2101, 851, 540, 707, 1560, 9433, 543, 1058, 581, 7471, 547, 1489, 707, 4661, 952, 707, 1557, 3085, 1405, 723, 1022, 540, 891, 269, 3194, 543, 2165, 1957, 11239, 4367, 543, 3391, 1451, 875, 543, 950, 547, 13712, 267, 2010, 540, 2959, 543, 1808, 2511, 10274, 269, 0, 763, 6313, 1560, 585, 713, 1957, 568, 513, 32142, 519, 1957, 4704, 568, 552, 935, 273, 270, 273, 538, 519, 2110, 2196, 513, 6175, 538, 14919, 3747, 538, 606, 4346, 568, 1034, 2693, 547, 1267, 1547, 476, 278, 21876, 540, 14919, 1265, 1353, 2200, 1292, 10624, 476, 278, 21876, 540, 14919, 3761, 552, 935, 476, 273, 3184, 476, 2641, 476, 7987, 494, 1492, 3310, 540, 13075, 543, 1547, 589, 32142, 552, 935, 273, 476, 278, 21876, 540, 2110, 2196, 513, 21876, 540, 2110, 910, 2196, 14919, 3761, 1018, 616, 519, 476, 275, 2188, 540, 2504, 875, 2653, 568, 621, 547, 2333, 519, 8244, 540, 1142, 538, 519, 2110, 910, 2196, 4586, 5715, 5344, 676, 519, 513, 32142, 513, 7400, 9297, 21038, 12550, 2275, 6847, 3391, 476, 6078, 21876, 540, 14919, 3747, 3040, 3040, 476, 5655, 3040, 2139, 855, 711, 2838, 585, 513, 32142, 1547, 4828, 593, 513, 32142, 552, 935, 273, 476, 278, 21876, 540, 2110, 2196, 513, 476, 2767, 21876, 540, 2110, 910, 2196, 14919, 3761, 1018, 616, 519, 476, 275, 2188, 540, 2504, 875, 2653, 568, 621, 547, 2333, 519, 8244, 540, 1142, 538, 519, 2110, 910, 2196, 1547, 15443, 573, 919, 1058, 581, 2111, 547, 20272, 543, 6218, 519, 1585, 3747, 20933, 543, 3761, 20933, 21876, 540, 2110, 24507, 2208, 540, 575, 31389, 543, 519, 1279, 24507, 7678, 2557, 540, 2804, 2208, 563, 1607, 568, 2469, 547, 581, 519, 1587, 540, 602, 15497, 7127, 476, 272, 2053, 476, 274, 267, 2053, 476, 274, 267, 2053, 476, 273, 267, 2053, 476, 278, 267, 799, 568, 476, 277, 2053, 476, 278, 267, 799, 568, 476, 5655, 865, 519, 24572, 540, 713, 5119, 568, 14263, 476, 5655, 267, 799, 729, 7168, 3728, 713, 729, 513, 7168, 3728, 30246, 269, 634, 10243, 593, 1514, 21876, 540, 1072, 630, 1220, 280, 264, 5838, 1614, 7840, 267, 630, 272, 264, 547, 2087, 3232, 2713, 2175, 267, 630, 273, 264, 547, 10994, 519, 6528, 3386, 1547, 589, 7400, 9297, 21669, 32142, 270, 5658, 1115, 543, 2344, 5821, 9297, 1923, 513, 32142, 476, 273, 5503, 2110, 1974, 2987, 601, 2880, 1279, 1974, 268, 601, 2880, 269, 589, 476, 2568, 8792, 3992, 585, 513, 32142, 28168, 476, 280, 268, 272, 9297, 8720, 476, 27088, 4655, 1063, 2229, 6859, 538, 513, 8013, 2344, 476, 24374, 272, 519, 21876, 540, 519, 4586, 288, 32142, 9297, 607, 949, 476, 1001, 276, 4585, 1775, 1265, 519, 2110, 2854, 4267, 616, 3833, 2653, 267, 711, 865, 1454, 513, 10178, 540, 519, 3594, 32473, 264, 630, 517, 540, 519, 21876, 540, 3902, 1547, 5851, 6300, 14469, 3391, 513, 32142, 9297, 513, 1377, 14469, 3391, 1175, 11278, 278, 4817, 8242, 585, 519, 1007, 513, 32142, 9297, 476, 18597, 21876, 540, 2110, 24507, 14919, 1547, 3399, 4974, 513, 32142, 9297, 513, 1377, 910, 2890, 11296, 2474, 513, 24572, 540, 3747, 267, 824, 982, 519, 1434, 781, 1378, 3902, 267, 602, 4368, 525, 519, 2990, 540, 519, 3747, 7455, 4586, 307, 12460, 273, 340, 4891, 609, 3610, 1299, 3506, 547, 948, 1053, 12366, 1047, 741, 2773, 538, 1271, 11400, 1299, 11886, 741, 1761, 513, 32142, 513, 1377, 9297, 14469, 1547, 910, 2318, 9297, 281, 1759, 593, 5013, 543, 1449, 762, 6436, 19838, 10637, 568, 476, 273, 260, 910, 29708, 9297, 281, 1759, 593, 6644, 910, 4316, 1942, 281, 568, 519, 15093, 2062, 19079, 540, 519, 1985, 1655, 269, 10576, 519, 21876, 540, 14919, 3761, 543, 10646, 1063, 513, 3350, 2059, 519, 2110, 24507, 14919, 3761, 7455, 543, 513, 6521, 540, 519, 7455, 12000, 26021, 3747, 543, 14919, 3761, 2203, 281, 513, 2203, 602, 6941, 2110, 24507, 722, 350, 340, 9822, 725, 538, 1483, 575, 31389, 543, 519, 3902, 1377, 563, 1432, 568, 2110, 2196, 14919, 3761, 513, 32142, 513, 1377, 9297, 14469, 15460, 910, 6990, 543, 2344, 5821, 3773, 547, 707, 10918, 7047, 269, 25315, 956, 538, 713, 3126, 281, 513, 32142, 513, 7400, 9297, 1433, 476, 272, 676, 18422, 4073, 749, 1299, 28642, 4073, 749, 630, 7818, 15704, 9264, 7818, 280, 15292, 476, 1001, 276, 267, 11278, 27149, 280, 264, 513, 32142, 513, 7400, 9297, 1433, 476, 273, 676, 18422, 4073, 749, 1299, 28642, 4073, 749, 630, 7818, 15704, 9264, 7176, 275, 271, 795, 2317, 476, 1001, 276, 267, 11278, 27149, 280, 264, 891, 10643, 723, 1044, 5697, 585, 513, 32142, 779, 4013, 13170, 1184, 269, 4855, 2250, 4574, 543, 1665, 14565, 585, 513, 32142, 11400, 267, 543, 19494, 4574, 585, 1007, 6030, 269, 0, 24426, 10973, 27470, 575, 776, 949, 9440, 2564, 16166, 1527, 3577, 1676, 5133, 281, 2166, 10973, 32248, 568, 606, 1313, 23865, 12424, 633, 4719, 4524, 602, 2360, 519, 269, 7261, 10973, 27470, 19795, 476, 272, 1603, 7084, 281, 2166, 10973, 27470, 2166, 10973, 27470, 568, 513, 4719, 4524, 602, 5540, 519, 5728, 800, 14189, 519, 5728, 800, 14189, 568, 269, 7261, 10973, 27470, 568, 513, 9245, 3560, 4524, 799, 568, 4122, 4299, 538, 519, 1313, 23865, 12424, 633, 2068, 540, 3043, 5095, 269, 4828, 270, 3410, 1957, 281, 2166, 10973, 27470, 1557, 267, 2165, 1957, 19057, 540, 519, 4719, 2068, 2166, 10973, 27470, 267, 3006, 9286, 607, 11940, 990, 4593, 573, 2670, 267, 568, 513, 4524, 563, 7049, 7497, 2165, 4574, 630, 17549, 476, 9264, 11463, 264, 593, 519, 2166, 10973, 27470, 5444, 2433, 4367, 281, 2166, 10973, 27470, 568, 606, 15110, 1313, 23865, 12424, 633, 2068, 602, 269, 3503, 513, 1957, 827, 11976, 270, 2102, 2045, 4713, 543, 2166, 10973, 27470, 1747, 513, 2147, 1931, 609, 721, 610, 1022, 1106, 540, 4081, 2688, 3594, 1644, 1641, 543, 621, 269, 6258, 827, 2166, 10973, 27470, 267, 513, 4719, 5761, 4524, 602, 5540, 519, 18558, 543, 824, 8219, 267, 543, 875, 547, 1521, 543, 2661, 609, 713, 5312, 2068, 269, 10791, 1072, 1299, 2068, 2166, 10973, 27470, 1557, 4282, 593, 2166, 10973, 27470, 281, 2166, 10973, 27470, 630, 22396, 264, 568, 513, 5312, 2068, 602, 5540, 8219, 971, 607, 519, 6797, 267, 9641, 563, 24426, 10973, 27470, 568, 606, 15110, 4524, 602, 5540, 519, 1259, 6070, 543, 1216, 1847, 883, 543, 856, 540, 519, 1560, 781, 2281, 519, 1034, 5906, 1198, 540, 713, 2068, 568, 519, 269, 7261, 10973, 27470, 568, 513, 1272, 18446, 4719, 4524, 950, 621, 4386, 621, 16094, 5540, 519, 9641, 543, 9667, 1062, 1317, 621, 11151, 519, 3940, 602, 2337, 269, 5131, 2166, 10973, 27470, 4574, 267, 3594, 513, 1272, 18446, 4719, 4524, 538, 2166, 10973, 27470, 910, 1560, 4952, 543, 2935, 1229, 4555, 593, 4189, 1851, 269, 7261, 10973, 27470, 835, 856, 540, 1169, 476, 273, 267, 4335, 24570, 538, 519, 8087, 2829, 786, 581, 8995, 609, 2166, 10973, 27470, 713, 1249, 2306, 2166, 10973, 27470, 835, 540, 519, 1034, 269, 7261, 10973, 27470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14723, 1354, 887, 8463, 563, 303, 2794, 7219, 5452, 723, 513, 7646, 267, 2428, 1399, 8137, 602, 8424, 1134, 609, 1312, 6653, 543, 29902, 5820, 269, 5901, 513, 9126, 540, 22481, 5452, 13561, 585, 2653, 15165, 532, 693, 1753, 610, 593, 519, 979, 269, 2659, 1560, 786, 9684, 596, 585, 519, 9422, 2640, 563, 303, 2794, 7219, 5452, 616, 14095, 609, 1271, 5567, 899, 13058, 267, 13101, 267, 543, 6775, 602, 666, 4324, 707, 1072, 538, 1082, 2081, 1107, 689, 1732, 2295, 1072, 547, 8519, 6553, 269, 4256, 14434, 267, 11254, 7408, 267, 543, 6886, 1118, 22481, 5452, 513, 15988, 797, 4502, 6220, 883, 1312, 6653, 543, 29902, 10346, 563, 29002, 1175, 513, 7674, 513, 1554, 2488, 3407, 5567, 547, 1489, 707, 2949, 1134, 5630, 269, 27124, 7219, 5452, 1118, 585, 513, 11684, 267, 14312, 15165, 602, 666, 581, 10150, 20471, 543, 9170, 563, 288, 281, 8786, 267, 22481, 5452, 666, 1489, 2597, 2530, 3646, 538, 513, 1906, 2081, 269, 4256, 3940, 543, 6775, 3895, 4606, 540, 2407, 1145, 267, 799, 949, 6175, 17811, 6981, 269, 27124, 7219, 5452, 616, 849, 1970, 538, 8477, 585, 741, 4320, 269, 1656, 741, 5567, 5818, 1648, 585, 23736, 269, 3807, 581, 13533, 540, 6712, 7306, 563, 288, 281, 8786, 267, 6151, 22481, 5452, 616, 9985, 17580, 269, 2368, 1004, 4782, 547, 887, 770, 873, 547, 3986, 519, 8137, 543, 29511, 269, 1809, 6151, 22481, 5452, 1869, 1683, 782, 519, 9422, 2640, 563, 288, 281, 4347, 17802, 269, 27124, 7219, 5452, 616, 1970, 2275, 16808, 543, 1164, 538, 2635, 9600, 269, 6168, 476, 4037, 260, 540, 741, 8477, 2097, 689, 3170, 269, 901, 2306, 873, 513, 1390, 4781, 585, 1970, 2275, 16808, 610, 29145, 11326, 269, 27124, 7219, 5452, 666, 948, 2743, 707, 5672, 4592, 593, 918, 16587, 563, 288, 281, 14856, 1360, 1164, 5666, 540, 22481, 5452, 1223, 2014, 16063, 9636, 610, 13165, 269, 1809, 909, 547, 606, 26412, 513, 1554, 568, 2808, 2922, 585, 1034, 1004, 269, 1306, 609, 1022, 1426, 267, 20208, 568, 1883, 563, 288, 281, 7743, 569, 6740, 22481, 5452, 666, 2063, 909, 547, 476, 277, 3275, 693, 4055, 2837, 269, 1677, 11694, 4195, 1145, 543, 9422, 1871, 267, 1832, 22481, 5452, 538, 606, 2011, 31259, 8708, 538, 513, 3579, 267, 4158, 1747, 269, 1411, 666, 849, 8831, 741, 15808, 1272, 676, 14023, 908, 610, 16171, 22481, 5452, 269, 0, 2419, 663, 2001, 22528, 268, 274, 281, 6660, 9693, 538, 3127, 779, 30803, 16709, 543, 6611, 21094, 454, 4415, 519, 3811, 25941, 2001, 22528, 268, 274, 9855, 8092, 532, 267, 519, 6689, 5326, 540, 1082, 12075, 6368, 3357, 3020, 269, 2201, 713, 10583, 4090, 267, 938, 8956, 762, 11788, 10579, 3525, 328, 808, 328, 1767, 968, 2419, 7701, 631, 4821, 568, 1175, 513, 2048, 339, 712, 685, 2476, 5608, 4758, 519, 20726, 540, 2230, 9235, 7341, 538, 3127, 676, 4959, 4629, 563, 1103, 3127, 267, 649, 3277, 547, 519, 3047, 607, 938, 3993, 543, 519, 9855, 607, 938, 2048, 300, 4821, 685, 630, 332, 11189, 11515, 1040, 4107, 569, 267, 631, 4821, 568, 835, 540, 519, 5172, 1920, 2818, 540, 782, 519, 1453, 607, 646, 2141, 533, 2086, 619, 519, 3214, 269, 932, 7701, 631, 4821, 1107, 519, 7599, 568, 1034, 6068, 538, 6689, 9954, 267, 12563, 8964, 585, 1453, 267, 3092, 269, 799, 5932, 23816, 1145, 585, 519, 7599, 538, 519, 2247, 540, 3592, 1169, 4095, 1126, 563, 763, 4095, 1453, 2141, 24714, 547, 2743, 741, 5172, 968, 2419, 7701, 631, 4821, 5608, 855, 941, 2141, 25922, 607, 621, 8604, 547, 581, 606, 7543, 4305, 2394, 19108, 269, 3767, 513, 1554, 786, 2097, 950, 1453, 786, 2161, 267, 968, 2419, 7701, 631, 4821, 568, 1175, 513, 2048, 339, 712, 685, 2476, 2223, 1767, 11788, 10579, 715, 732, 526, 571, 3525, 328, 609, 519, 3811, 25941, 2001, 22528, 268, 274, 9855, 13941, 563, 1432, 568, 25941, 2001, 22528, 268, 274, 888, 2419, 663, 2001, 22528, 268, 274, 568, 606, 4095, 2230, 5692, 3366, 676, 519, 4095, 6611, 3194, 25944, 630, 3041, 4629, 264, 547, 2263, 519, 9855, 269, 901, 5692, 7436, 519, 3791, 3942, 540, 3127, 779, 5692, 547, 2263, 922, 18477, 7023, 269, 634, 6662, 540, 519, 5692, 568, 547, 6494, 519, 26285, 12505, 30024, 547, 2244, 593, 519, 9855, 779, 2627, 543, 2263, 922, 2934, 543, 13655, 563, 763, 5692, 5161, 540, 1079, 1292, 3334, 281, 23819, 1090, 700, 6387, 630, 320, 14361, 264, 543, 26285, 12505, 630, 320, 1507, 6174, 1040, 634, 23819, 1090, 543, 26285, 12505, 2244, 619, 616, 2966, 543, 3710, 676, 3744, 543, 8030, 1210, 5969, 12967, 2029, 563, 763, 23819, 1090, 2244, 518, 786, 581, 23553, 547, 2244, 9900, 593, 519, 9855, 269, 4495, 519, 2244, 518, 568, 9108, 593, 519, 9855, 267, 519, 26285, 12505, 30024, 786, 10836, 543, 2253, 922, 5692, 563, 763, 26285, 12505, 30024, 786, 581, 513, 1507, 6174, 602, 786, 1847, 1472, 593, 519, 9855, 543, 2445, 3407, 1344, 269, 634, 5692, 786, 581, 13234, 676, 513, 2319, 540, 3744, 543, 8030, 269, 901, 5692, 568, 851, 540, 3127, 779, 3395, 2230, 3408, 7207, 543, 922, 11428, 547, 2417, 532, 3621, 1702, 540, 938, 18477, 7023, 1107, 519, 9855, 563, 14532, 540, 25941, 2001, 22528, 268, 274, 14361, 454, 3041, 4629, 779, 25941, 2001, 22528, 268, 274, 14361, 5692, 568, 513, 1246, 5346, 547, 25941, 2001, 22528, 476, 273, 267, 799, 729, 9250, 538, 476, 1001, 280, 269, 634, 3105, 5692, 1185, 606, 11497, 3438, 267, 513, 2244, 518, 267, 543, 513, 30024, 1062, 269, 634, 2244, 518, 23819, 1090, 267, 2705, 267, 15354, 593, 519, 9855, 2182, 1813, 547, 2792, 2042, 1282, 922, 3803, 16350, 269, 634, 5821, 540, 519, 5692, 7142, 4959, 4629, 547, 10131, 25941, 2001, 22528, 268, 274, 609, 513, 1007, 1445, 593, 13941, 563, 763, 5692, 6663, 547, 4368, 519, 1966, 540, 13941, 676, 2519, 1152, 593, 519, 2244, 9074, 267, 1510, 519, 946, 540, 606, 11497, 3438, 610, 513, 30024, 269, 634, 25941, 2001, 22528, 268, 274, 1686, 9356, 3127, 779, 8207, 547, 7753, 9465, 267, 2087, 922, 2230, 7207, 543, 3565, 547, 7599, 3408, 998, 9488, 2079, 540, 2250, 13485, 685, 2833, 543, 2164, 563, 4942, 1162, 540, 25941, 2001, 22528, 268, 274, 9855, 8092, 532, 454, 2419, 663, 2001, 22528, 268, 274, 9855, 13941, 666, 581, 7745, 1524, 883, 1896, 11775, 269, 634, 1739, 616, 519, 1883, 3268, 602, 8329, 547, 519, 1967, 540, 519, 5692, 543, 4904, 3127, 779, 12271, 609, 11348, 543, 10761, 912, 268, 25941, 2001, 22528, 268, 274, 2776, 2000, 320, 4875, 19369, 281, 12207, 543, 8030, 693, 519, 4095, 6611, 3194, 9257, 630, 3041, 4629, 264, 5249, 1927, 547, 1020, 23819, 1090, 268, 274, 543, 26285, 12505, 268, 274, 267, 799, 941, 4824, 8747, 540, 25941, 2001, 22528, 268, 272, 543, 476, 273, 267, 6606, 563, 268, 25941, 2001, 22528, 268, 274, 32374, 543, 17714, 281, 634, 23819, 1090, 268, 274, 16264, 2244, 518, 729, 9250, 883, 2230, 676, 513, 3532, 15177, 267, 10707, 998, 2230, 4724, 519, 9855, 269, 1306, 621, 683, 1563, 519, 9855, 267, 519, 23819, 1090, 268, 274, 9674, 689, 519, 824, 14361, 267, 543, 3459, 513, 5402, 6417, 16350, 547, 519, 9855, 779, 2627, 269, 901, 942, 267, 7429, 25941, 2001, 22528, 273, 267, 519, 1445, 729, 7357, 593, 519, 13941, 2460, 540, 519, 5692, 267, 609, 519, 2832, 540, 8236, 513, 2922, 543, 3811, 13941, 563, 268, 25941, 2001, 22528, 268, 274, 8092, 532, 28850, 281, 634, 23819, 1090, 2244, 518, 20109, 1524, 593, 519, 9855, 779, 2627, 693, 476, 277, 281, 6860, 6751, 630, 8780, 264, 593, 476, 2537, 4864, 476, 1708, 274, 609, 13657, 543, 8856, 269, 901, 3811, 13941, 729, 513, 10583, 4090, 585, 3127, 543, 922, 2230, 8116, 267, 4959, 4629, 563, 19328, 9976, 713, 9740, 609, 10373, 11348, 267, 607, 621, 7152, 519, 2197, 779, 7760, 538, 2230, 2029, 269, 25941, 2001, 22528, 268, 274, 779, 11775, 540, 10131, 267, 3460, 267, 543, 3811, 13941, 7604, 1078, 3127, 779, 7029, 547, 16264, 3408, 543, 3621, 6602, 267, 5807, 513, 2631, 540, 22920, 543, 3084, 9322, 269, 2060, 713, 3127, 2968, 519, 1101, 2197, 547, 2571, 2244, 593, 519, 3162, 24504, 540, 9855, 563, 1432, 1310, 25941, 2001, 22528, 268, 274, 13941, 888, 763, 2022, 268, 1633, 532, 5123, 540, 519, 5692, 568, 4397, 547, 581, 4553, 676, 1713, 7835, 269, 2991, 519, 5123, 540, 519, 5692, 267, 4959, 4629, 30242, 547, 946, 519, 26285, 12505, 30024, 547, 2263, 519, 9855, 779, 2627, 563, 763, 26285, 12505, 30024, 568, 2966, 547, 2951, 8238, 558, 3585, 543, 786, 946, 922, 7463, 7405, 547, 5659, 519, 3037, 267, 7725, 543, 2627, 5888, 540, 519, 9855, 269, 634, 6662, 540, 713, 3408, 568, 547, 2744, 1898, 4030, 883, 519, 20569, 267, 519, 1686, 267, 543, 519, 4162, 540, 519, 9855, 563, 2026, 26285, 12505, 30024, 2377, 10225, 593, 519, 3460, 547, 519, 9855, 267, 621, 3762, 606, 30170, 1665, 540, 3127, 779, 10781, 269, 2201, 519, 14743, 540, 519, 26285, 12505, 30024, 267, 513, 2189, 4959, 4629, 16826, 568, 3413, 12089, 269, 901, 16826, 23327, 519, 4182, 779, 1719, 538, 2230, 3408, 543, 8309, 547, 519, 5692, 779, 4644, 563, 4415, 519, 948, 540, 519, 3408, 5342, 676, 519, 26285, 12505, 30024, 267, 8103, 786, 2744, 513, 1732, 1620, 540, 519, 7599, 543, 922, 4720, 269, 901, 1239, 786, 581, 3730, 585, 2104, 16264, 13485, 607, 1134, 607, 585, 6626, 3621, 18129, 1472, 519, 1158, 563, 2419, 663, 2001, 22528, 268, 274, 779, 18517, 711, 1152, 3142, 11348, 547, 519, 4182, 855, 849, 948, 538, 519, 2518, 3406, 585, 1702, 827, 938, 18477, 7023, 267, 519, 9855, 563, 1692, 568, 3811, 25941, 2001, 22528, 268, 274, 13941, 593, 519, 7599, 568, 513, 1900, 2417, 538, 6611, 21094, 585, 3127, 888, 2419, 663, 2001, 22528, 268, 274, 14361, 568, 606, 1271, 5692, 585, 3127, 607, 621, 11394, 547, 1118, 513, 3811, 16264, 13941, 1310, 519, 5821, 540, 25941, 2001, 22528, 273, 269, 634, 1967, 540, 713, 5692, 711, 1152, 25495, 3127, 779, 6639, 27166, 855, 849, 18791, 3127, 779, 2990, 538, 519, 3486, 2230, 2146, 563, 19328, 779, 16529, 2230, 16786, 2882, 513, 1297, 540, 13485, 602, 3343, 547, 2417, 4228, 519, 2197, 779, 2230, 7207, 269, 1452, 13485, 616, 5532, 547, 519, 2487, 23318, 676, 3127, 779, 2230, 2861, 4095, 6611, 3194, 9257, 630, 3041, 4629, 264, 540, 5887, 1005, 883, 519, 5010, 2230, 2951, 2872, 563, 763, 3811, 25941, 2001, 22528, 268, 274, 13941, 786, 6542, 3127, 779, 7029, 547, 2230, 3408, 607, 1134, 607, 922, 7415, 2702, 547, 7753, 2591, 269, 634, 1967, 540, 25941, 2001, 22528, 268, 274, 779, 13941, 7436, 606, 1271, 24182, 538, 3127, 779, 2702, 547, 2327, 5730, 543, 2922, 2244, 902, 593, 9813, 4703, 267, 799, 568, 513, 1883, 3815, 585, 519, 1967, 540, 2230, 9235, 18129, 563, 1103, 713, 18330, 267, 717, 698, 1415, 22528, 6763, 856, 607, 513, 3090, 540, 3127, 779, 17050, 269, 634, 5692, 729, 9250, 4505, 713, 1032, 538, 4728, 476, 1708, 274, 543, 568, 1305, 547, 6494, 4095, 20691, 883, 2230, 585, 519, 1101, 942, 269, 3502, 1152, 1281, 717, 698, 1415, 22528, 2099, 3127, 779, 6639, 15657, 267, 855, 621, 849, 7436, 519, 2197, 779, 7127, 883, 1480, 2230, 8184, 563, 3528, 25054, 593, 1480, 2230, 3408, 267, 3127, 568, 11744, 922, 18515, 547, 2263, 1007, 20030, 543, 5397, 5647, 538, 23825, 2029, 563, 19328, 779, 2594, 540, 1967, 538, 2230, 3408, 630, 2419, 663, 2001, 22528, 268, 274, 264, 543, 519, 9153, 540, 717, 698, 1415, 22528, 6542, 3127, 779, 1909, 538, 10747, 519, 2104, 540, 3408, 543, 5732, 6679, 519, 7450, 547, 2230, 9235, 585, 12439, 543, 17701, 269, 0, 21430, 513, 26806, 538, 28149, 568, 513, 1390, 1259, 547, 3986, 707, 5691, 2713, 2230, 543, 1039, 513, 5905, 540, 17779, 547, 707, 29863, 269, 2755, 519, 3014, 3085, 1406, 1683, 606, 4013, 21067, 3625, 267, 972, 616, 1896, 3860, 2081, 596, 666, 4020, 835, 1210, 4540, 7161, 543, 3688, 563, 3080, 2442, 1505, 3322, 1210, 4401, 7161, 607, 519, 1292, 2497, 267, 609, 15972, 13073, 610, 4191, 9117, 607, 21684, 3330, 269, 1411, 666, 1747, 1426, 3688, 899, 5779, 267, 5388, 267, 543, 5613, 593, 891, 21684, 547, 18082, 13936, 873, 538, 513, 26806, 269, 3958, 267, 596, 666, 946, 16181, 610, 2604, 10824, 607, 20362, 610, 5679, 10849, 585, 6679, 543, 14656, 519, 26806, 7450, 563, 1692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19088, 267, 9085, 267, 543, 519, 3979, 2622, 269, 11062, 281, 11062, 2160, 4964, 563, 307, 3089, 267, 18832, 267, 543, 918, 269, 31722, 18708, 269, 476, 1001, 273, 269, 968, 13356, 20325, 1436, 1772, 3502, 513, 5450, 777, 1817, 1848, 769, 1546, 3712, 517, 1436, 281, 1473, 580, 2940, 640, 267, 4065, 267, 543, 5980, 476, 272, 263, 272, 2567, 476, 272, 1700, 2412, 563, 23219, 1676, 6441, 1168, 529, 267, 8575, 675, 523, 269, 476, 1960, 278, 269, 2558, 514, 21059, 962, 528, 18866, 281, 3245, 12624, 26280, 826, 547, 15350, 269, 3115, 337, 269, 3751, 8725, 267, 25706, 281, 4964, 2160, 540, 519, 4639, 28851, 563, 272, 22955, 585, 476, 1001, 277, 666, 581, 15600, 693, 968, 290, 7185, 28483, 267, 476, 1001, 277, 17227, 2223, 10803, 4516, 267, 4179, 2517, 4178, 1321, 14714, 520, 4754, 3052, 322, 28022, 11305, 7185, 29627, 1619, 618, 270, 1001, 277, 7933, 335, 1790, 323, 24579, 325, 27651, 6983, 325, 332, 286, 299, 836, 284, 292, 630, 18431, 9168, 476, 1704, 2904, 476, 1001, 279, 1070, 676, 10024, 968, 28657, 2223, 968, 302, 660, 9222, 2223, 610, 968, 307, 528, 15193, 892, 538, 519, 968, 20278, 2012, 892, 3406, 6885, 269, 1280, 519, 476, 1001, 272, 4137, 267, 1294, 968, 301, 9391, 28483, 267, 476, 1001, 272, 267, 10803, 4516, 267, 4179, 2517, 4178, 1321, 14714, 520, 4754, 3052, 322, 28022, 14672, 26387, 10276, 332, 270, 1001, 272, 7933, 335, 1790, 323, 24579, 325, 27651, 6983, 325, 332, 286, 299, 836, 284, 292, 630, 18431, 9168, 476, 2190, 2904, 476, 1001, 279, 1916, 273, 6423, 849, 519, 4901, 540, 713, 1650, 538, 744, 344, 384, 499, 342, 383, 373, 332, 6403, 630, 1960, 278, 267, 476, 4343, 1700, 4375, 1916, 274, 2201, 519, 1523, 540, 968, 842, 571, 19840, 532, 2223, 15506, 778, 776, 320, 524, 2572, 27239, 4446, 611, 779, 968, 8070, 16058, 626, 3131, 8971, 2032, 281, 19331, 731, 606, 4197, 540, 1215, 17460, 1290, 525, 547, 17460, 2223, 538, 7698, 12339, 514, 3359, 267, 12995, 676, 853, 2329, 1325, 2727, 334, 543, 19626, 1261, 330, 2006, 267, 476, 6344, 1700, 7918, 630, 289, 5979, 4040, 2023, 281, 18518, 2160, 4964, 267, 476, 1220, 279, 1916, 275, 2353, 1382, 5171, 941, 2016, 15554, 11618, 269, 634, 5967, 609, 6004, 269, 21220, 517, 12011, 328, 3576, 1747, 593, 476, 2641, 4989, 476, 1220, 278, 538, 17842, 563, 276, 634, 5967, 609, 1546, 548, 729, 5342, 593, 476, 1556, 4728, 476, 1220, 278, 538, 17842, 563, 277, 590, 1228, 729, 849, 26906, 593, 476, 1556, 4728, 476, 1220, 278, 538, 17842, 269, 0, 1103, 1562, 24594, 3604, 538, 3597, 25061, 8856, 3112, 581, 2047, 18505, 1042, 689, 2249, 262, 1250, 14585, 9071, 714, 531, 4567, 610, 5386, 3597, 9297, 303, 822, 331, 6403, 3534, 853, 7441, 6403, 28325, 5451, 267, 14088, 28822, 830, 20795, 267, 6276, 595, 1695, 650, 267, 8751, 5451, 20795, 918, 537, 31990, 1299, 9410, 1284, 16014, 454, 301, 22021, 11601, 538, 2371, 666, 581, 6719, 676, 513, 24194, 540, 954, 14585, 22366, 3597, 7592, 971, 607, 3597, 8006, 267, 9436, 1543, 267, 3597, 5160, 5860, 267, 543, 1808, 3597, 3259, 269, 1717, 267, 621, 568, 15458, 875, 513, 2030, 781, 2702, 547, 10502, 28532, 585, 5567, 538, 513, 26945, 3037, 1604, 630, 328, 4318, 1421, 519, 8856, 540, 11093, 5072, 883, 8770, 11656, 2127, 264, 12211, 547, 891, 7592, 269, 3733, 14585, 9071, 714, 531, 1623, 6798, 2670, 849, 5540, 519, 2078, 1063, 519, 5386, 3597, 7592, 543, 3597, 25061, 8856, 1317, 16507, 2483, 272, 11239, 4080, 2094, 8313, 538, 476, 1708, 273, 563, 1607, 1239, 23789, 568, 711, 4867, 8989, 6165, 1344, 269, 1280, 1344, 593, 875, 707, 23789, 666, 10505, 6165, 1344, 267, 5225, 1294, 938, 12319, 269, 0, 763, 853, 10394, 7313, 1815, 850, 610, 968, 303, 20557, 853, 10394, 892, 729, 513, 2497, 538, 18603, 1141, 24789, 334, 602, 13022, 1756, 1558, 1010, 13794, 543, 6026, 269, 13536, 740, 6254, 338, 540, 713, 10952, 9371, 941, 6035, 519, 2012, 968, 306, 1729, 545, 892, 689, 741, 7681, 609, 713, 1747, 563, 2791, 616, 8384, 281, 5808, 5097, 1031, 513, 588, 10394, 888, 8368, 540, 12937, 454, 272, 269, 4937, 4214, 540, 853, 334, 553, 543, 849, 519, 818, 540, 519, 853, 10394, 7313, 1815, 850, 454, 306, 1729, 553, 941, 513, 6093, 4183, 538, 5259, 4872, 543, 849, 7254, 9822, 2456, 269, 7046, 693, 519, 4395, 998, 513, 3655, 9809, 1228, 602, 9587, 267, 513, 588, 10394, 7074, 606, 1930, 267, 855, 6870, 267, 2230, 269, 769, 19349, 547, 4758, 513, 1747, 585, 519, 2238, 540, 30251, 4012, 626, 6233, 267, 6300, 26283, 267, 543, 849, 1866, 267, 588, 334, 553, 5781, 6039, 607, 26847, 585, 1148, 543, 1857, 20375, 267, 941, 3177, 585, 5289, 5301, 267, 543, 849, 30431, 730, 1857, 2230, 269, 769, 519, 11359, 2540, 14514, 519, 23723, 1014, 3397, 7702, 1185, 2185, 267, 6148, 2947, 267, 588, 334, 553, 602, 20898, 519, 7013, 267, 7262, 267, 543, 7187, 5011, 540, 519, 1857, 1858, 563, 7628, 14155, 725, 538, 519, 7187, 851, 540, 519, 23723, 1014, 3397, 7702, 538, 519, 476, 2735, 271, 338, 267, 14155, 2209, 20114, 519, 27623, 6316, 540, 513, 2497, 602, 568, 4867, 4857, 1927, 519, 853, 10394, 7313, 1815, 850, 630, 1721, 513, 2407, 518, 6643, 540, 519, 15456, 2963, 267, 2070, 8805, 267, 26337, 602, 18603, 267, 476, 6924, 268, 7597, 543, 5515, 476, 5038, 543, 476, 4792, 1916, 273, 269, 17461, 540, 519, 6165, 540, 519, 853, 10394, 7313, 1815, 850, 454, 23192, 1572, 585, 3212, 529, 1014, 1314, 267, 7015, 2987, 25237, 540, 519, 23723, 1014, 22267, 595, 30266, 267, 519, 853, 10394, 7313, 1815, 850, 729, 9112, 693, 519, 7187, 9096, 540, 519, 23723, 1014, 3397, 7702, 538, 519, 476, 29121, 338, 14514, 269, 5269, 540, 14680, 267, 519, 853, 10394, 1185, 513, 3655, 9809, 1228, 602, 667, 7595, 9587, 543, 513, 4737, 540, 594, 4577, 9587, 4881, 1524, 519, 4099, 547, 1489, 519, 8122, 269, 898, 4166, 2968, 2442, 569, 1134, 8153, 607, 968, 17763, 1815, 850, 892, 610, 968, 335, 20557, 892, 1283, 1283, 2272, 540, 519, 5863, 13556, 8440, 602, 24224, 922, 1394, 3774, 563, 306, 3019, 1310, 519, 853, 10394, 7313, 1815, 850, 729, 3710, 267, 513, 4015, 540, 8470, 19267, 676, 1283, 5159, 519, 519, 1554, 941, 8704, 269, 634, 4936, 1491, 7552, 5856, 623, 9476, 534, 5362, 630, 272, 269, 1428, 264, 2488, 513, 12667, 6609, 540, 519, 14745, 540, 891, 19267, 538, 1010, 1378, 1554, 267, 851, 3670, 2540, 2663, 269, 7324, 560, 519, 29631, 543, 3140, 3584, 11609, 941, 1452, 639, 32626, 519, 2549, 1794, 976, 267, 519, 16380, 8165, 693, 31684, 267, 519, 23723, 1014, 1967, 936, 1975, 21840, 693, 744, 523, 4141, 2282, 14803, 657, 630, 11845, 7164, 264, 543, 849, 519, 6370, 540, 3057, 25070, 630, 21878, 14514, 1040, 3683, 972, 941, 849, 23609, 519, 519, 12325, 3057, 25070, 267, 1452, 639, 267, 4173, 6047, 267, 543, 519, 15831, 23723, 320, 269, 11773, 6204, 1597, 15077, 689, 23723, 1014, 12959, 267, 971, 607, 519, 695, 3658, 3142, 2476, 689, 9676, 1975, 691, 753, 538, 9625, 519, 4339, 540, 623, 2643, 657, 538, 476, 28883, 7460, 267, 849, 24224, 519, 853, 10394, 269, 1717, 267, 519, 15265, 32042, 519, 519, 4173, 592, 2103, 630, 4753, 476, 29045, 264, 543, 519, 6250, 580, 16251, 630, 4753, 476, 31256, 1070, 2059, 609, 519, 1244, 2784, 725, 519, 513, 6067, 9037, 19005, 7961, 605, 4621, 592, 267, 4174, 5529, 519, 853, 10394, 7313, 1815, 850, 540, 922, 6575, 630, 26239, 525, 3780, 267, 16707, 476, 7918, 543, 476, 13670, 1916, 9928, 13593, 11353, 540, 3877, 689, 25196, 1449, 1518, 547, 519, 5542, 540, 1857, 3091, 540, 519, 853, 10394, 7313, 1815, 850, 269, 5221, 602, 1383, 267, 795, 3753, 3006, 5645, 856, 741, 2754, 538, 519, 853, 10394, 630, 5456, 4083, 273, 476, 13932, 272, 543, 476, 15757, 271, 1070, 543, 849, 1857, 14773, 906, 941, 1500, 972, 267, 1927, 607, 1282, 835, 540, 519, 21496, 16873, 602, 519, 18479, 639, 15687, 27405, 625, 630, 306, 3273, 328, 770, 593, 14163, 2684, 6951, 685, 29838, 338, 476, 3607, 280, 1040, 1717, 267, 519, 853, 10394, 7313, 1815, 850, 729, 6140, 519, 5870, 818, 540, 2241, 1004, 267, 581, 1375, 1513, 267, 3165, 332, 784, 619, 267, 7038, 619, 267, 543, 1866, 5356, 741, 3649, 637, 610, 3274, 29400, 519, 3002, 540, 513, 4832, 779, 1554, 269, 630, 290, 2086, 267, 26337, 519, 18603, 267, 476, 6924, 268, 7597, 1916, 2691, 24789, 334, 519, 13022, 1756, 2097, 538, 18603, 10199, 476, 27123, 14514, 267, 646, 4749, 1558, 1010, 20805, 656, 538, 519, 853, 10394, 7313, 1815, 850, 543, 6026, 972, 269, 24789, 334, 779, 2188, 585, 1818, 946, 540, 519, 853, 10394, 7313, 1815, 850, 4055, 7164, 267, 855, 835, 1522, 1179, 3634, 602, 519, 26007, 519, 16495, 1107, 865, 1271, 538, 853, 18757, 2418, 1107, 538, 1082, 540, 519, 10367, 602, 24224, 519, 2497, 949, 723, 1185, 930, 851, 538, 1010, 3375, 269, 24789, 334, 849, 5526, 547, 723, 6026, 538, 519, 9142, 543, 10370, 576, 636, 15547, 19063, 1756, 338, 630, 13312, 4094, 525, 5487, 1068, 3780, 476, 278, 269, 272, 269, 1556, 264, 543, 5310, 538, 824, 28503, 538, 18603, 1107, 2943, 519, 2012, 540, 602, 606, 3355, 5870, 1747, 8694, 909, 1373, 24190, 642, 24789, 334, 779, 13794, 269, 634, 9872, 3294, 2760, 1185, 513, 17251, 1327, 1446, 267, 543, 849, 2663, 853, 18757, 17024, 6026, 538, 27590, 14901, 543, 2575, 31508, 12001, 18603, 630, 310, 344, 7815, 2917, 267, 853, 2158, 602, 18603, 476, 23211, 268, 22001, 1916, 274, 269, 22108, 543, 4329, 7335, 11990, 631, 269, 8805, 267, 634, 26337, 540, 18603, 630, 6124, 670, 13273, 543, 849, 5507, 476, 1220, 272, 264, 290, 2086, 267, 14646, 631, 269, 634, 23723, 1014, 3397, 7702, 630, 26780, 476, 2735, 277, 264, 9199, 1998, 657, 267, 808, 269, 11625, 3645, 519, 28445, 540, 2025, 18603, 269, 18603, 476, 3192, 272, 15030, 344, 7815, 2917, 267, 681, 9950, 269, 634, 853, 2158, 602, 18603, 269, 23134, 476, 3192, 279, 563, 8450, 811, 281, 4855, 1411, 589, 2494, 5808, 2052, 1684, 5637, 476, 8730, 4855, 589, 24053, 5808, 2052, 1684, 5637, 454, 289, 12864, 676, 13445, 289, 12864, 676, 13445, 15675, 21145, 14532, 602, 13898, 1704, 628, 11416, 3864, 1240, 628, 11416, 3864, 866, 628, 11416, 3864, 26123, 13898, 14532, 631, 4593, 269, 14532, 519, 8890, 6776, 8469, 8148, 13898, 4942, 3342, 14279, 305, 10718, 13898, 18404, 7469, 12695, 1299, 9210, 626, 655, 1108, 22977, 626, 655, 1108, 18404, 7469, 12695, 21790, 1299, 15465, 3163, 4942, 3342, 4451, 602, 5678, 4942, 3342, 4451, 519, 15215, 4462, 322, 1538, 528, 1242, 4942, 3342, 28441, 26492, 13563, 13898, 24336, 13898, 16676, 1581, 13898, 293, 655, 21442, 13898, 24465, 13898, 26576, 545, 13898, 9199, 1288, 631, 4593, 2529, 7220, 267, 20603, 267, 1299, 9119, 19868, 545, 4942, 3342, 4451, 602, 9119, 4942, 3342, 4451, 540, 3163, 19368, 7869, 288, 652, 12060, 27807, 996, 923, 20685, 923, 4942, 3342, 4451, 602, 4521, 303, 11823, 13898, 19368, 631, 4593, 269, 0, 307, 8692, 10008, 27391, 531, 11824, 454, 24961, 540, 8644, 5984, 609, 25676, 10008, 8664, 12006, 454, 307, 8692, 10008, 10588, 630, 288, 32106, 2433, 12168, 371, 14507, 8294, 24220, 12022, 25078, 12168, 373, 14507, 15906, 25078, 24291, 24220, 404, 511, 14507, 267, 589, 4592, 1325, 22678, 615, 476, 9719, 361, 541, 5953, 12712, 639, 264, 568, 835, 540, 519, 476, 2420, 1101, 1377, 30834, 2888, 630, 24220, 12022, 21333, 18716, 29756, 264, 540, 8644, 5984, 269, 4706, 3854, 543, 4102, 2749, 568, 25676, 10008, 267, 519, 3084, 3854, 269, 25676, 10008, 10588, 568, 538, 519, 25676, 13457, 807, 3148, 540, 32720, 8644, 5984, 269, 634, 8664, 814, 513, 32132, 2059, 519, 5032, 540, 519, 11335, 7256, 538, 519, 5087, 630, 294, 5285, 540, 25676, 10008, 1070, 2098, 25596, 5984, 538, 519, 7178, 267, 808, 2378, 4673, 538, 519, 22236, 267, 808, 629, 531, 620, 717, 9618, 6798, 538, 519, 5045, 543, 12653, 638, 321, 538, 519, 7532, 563, 8110, 519, 14829, 9193, 540, 476, 1001, 273, 267, 519, 2698, 2551, 538, 519, 3148, 729, 476, 14991, 267, 278, 5325, 609, 476, 5611, 267, 31874, 8644, 344, 753, 269, 634, 3328, 2450, 540, 519, 7622, 538, 519, 2197, 729, 476, 277, 269, 280, 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 ]
[ 12211, 547, 938, 2729, 2221, 269, 2913, 781, 4685, 883, 713, 17705, 7045, 2439, 1262, 1432, 1281, 1412, 291, 2905, 29968, 262, 1611, 15140, 763, 2165, 1412, 323, 2905, 3694, 262, 2501, 689, 519, 7083, 781, 27302, 267, 1141, 10271, 2307, 2696, 547, 1683, 873, 609, 741, 2596, 2115, 1765, 25988, 267, 12062, 267, 7802, 267, 543, 2648, 269, 898, 5713, 607, 513, 12576, 602, 3388, 1434, 649, 4309, 2501, 689, 2696, 780, 3719, 1946, 1705, 4906, 946, 519, 2262, 1412, 30103, 286, 262, 4270, 267, 1394, 950, 4906, 5030, 267, 1004, 4769, 1405, 723, 2706, 5658, 1115, 899, 649, 798, 19951, 269, 1358, 1185, 547, 1332, 267, 6968, 267, 610, 5531, 741, 1378, 1426, 1169, 1554, 269, 1924, 267, 3478, 28448, 19323, 3694, 729, 1898, 1317, 2451, 13569, 9327, 1405, 2063, 1279, 1813, 547, 519, 3668, 540, 11091, 2409, 269, 4935, 267, 1412, 30103, 262, 3090, 1242, 29454, 543, 32351, 780, 3086, 1577, 781, 1491, 513, 6251, 1413, 693, 519, 2262, 1412, 323, 2905, 9538, 9894, 596, 917, 602, 621, 814, 1114, 16627, 2066, 1585, 8747, 540, 519, 6426, 286, 2368, 14377, 621, 607, 1412, 928, 10354, 10086, 1247, 1866, 2161, 1412, 1485, 676, 1554, 262, 610, 1412, 1721, 713, 1554, 1152, 9538, 1452, 12496, 11168, 602, 649, 1590, 3972, 2696, 547, 3761, 938, 2115, 1142, 1554, 3079, 540, 11876, 8973, 2200, 610, 20468, 827, 14182, 780, 1262, 5804, 9147, 27067, 547, 7073, 18321, 4373, 12441, 596, 917, 602, 519, 2856, 540, 3232, 3694, 666, 849, 581, 14360, 1394, 547, 3751, 21125, 781, 8797, 1913, 538, 519, 3883, 540, 1160, 18690, 630, 1789, 281, 279, 21663, 901, 8574, 14753, 827, 1373, 13854, 609, 2614, 855, 711, 1932, 1454, 267, 865, 1100, 2800, 1131, 2097, 938, 1259, 269, 1635, 14344, 2696, 607, 938, 8502, 267, 649, 1265, 3666, 1063, 26846, 543, 20317, 780, 24137, 4464, 5215, 540, 1296, 2663, 267, 1282, 2622, 2782, 4083, 267, 513, 3703, 2250, 528, 3957, 3627, 966, 269, 13177, 5206, 513, 1433, 1572, 834, 763, 3619, 5174, 15277, 2696, 1701, 1261, 1031, 519, 1523, 540, 3232, 3694, 547, 4766, 875, 3425, 616, 1071, 22086, 619, 609, 2696, 538, 8744, 25736, 547, 3047, 269, 4340, 547, 1864, 267, 1175, 607, 6705, 5965, 3037, 267, 2030, 5452, 267, 1216, 2371, 267, 543, 7227, 3461, 569, 585, 7556, 267, 649, 960, 29367, 2509, 16180, 2696, 781, 3483, 1247, 6028, 4093, 909, 547, 10143, 1364, 775, 780, 1262, 28274, 1412, 291, 2905, 29968, 262, 538, 3776, 22032, 4373, 9213, 267, 1620, 1412, 323, 2905, 3694, 262, 7512, 721, 547, 5660, 1272, 781, 2241, 5418, 9778, 267, 1871, 3347, 936, 22590, 267, 543, 2259, 14696, 269, 5047, 267, 621, 26182, 721, 547, 2671, 938, 11606, 609, 1346, 945, 991, 621, 1034, 2094, 4758, 12750, 625, 7772, 543, 1764, 780, 2080, 781, 606, 1383, 281, 4952, 952, 3025, 3838, 741, 3063, 20105, 540, 16741, 609, 2576, 17237, 7404, 269, 17652, 2614, 267, 972, 1131, 581, 7864, 8900, 7181, 338, 1472, 4884, 269, 2334, 781, 519, 1379, 540, 4687, 543, 12391, 1759, 593, 7487, 6000, 607, 851, 540, 2696, 781, 1920, 780, 2026, 649, 2673, 713, 3992, 267, 3314, 602, 5275, 1412, 323, 2905, 3694, 262, 1797, 811, 982, 32467, 585, 6980, 269, 5502, 267, 621, 3322, 9301, 2696, 607, 938, 15962, 18261, 267, 2713, 2247, 2685, 1369, 938, 1797, 267, 11589, 9684, 6888, 5781, 267, 543, 14178, 11587, 1252, 3585, 269, 2904, 596, 10027, 880, 713, 7326, 607, 596, 6330, 707, 2189, 2619, 4904, 609, 2208, 267, 8296, 267, 543, 11419, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 29623, 593, 631, 13860, 1287, 543, 3767, 454, 3682, 18690, 476, 1789, 281, 279, 17179, 2484, 689, 803, 8709, 640, 543, 6013, 281, 2285, 803, 9444, 454, 335, 20191, 6862, 13284, 1127, 282, 3049, 803, 609, 1426, 10375, 585, 803, 281, 16376, 803, 538, 519, 454, 3891, 11119, 568, 281, 10226, 23802, 14149, 312, 570, 792, 1055, 585, 803, 1107, 2736, 540, 585, 803, 1230, 1597, 1304, 538, 918, 297, 309, 721, 1776, 11212, 3983, 8144, 12355, 568, 700, 295, 300, 6953, 298, 312, 634, 3694, 454, 1952, 31212, 585, 803, 1107, 968, 3240, 3232, 3694, 7536, 3383, 538, 519, 454, 299, 867, 779, 27302, 267, 1879, 4906, 5697, 519, 8360, 281, 968, 24876, 721, 938, 3232, 3694, 1848, 1703, 454, 529, 513, 1164, 5506, 602, 693, 2547, 593, 1167, 2118, 6444, 4906, 454, 13195, 844, 7627, 689, 1160, 18690, 476, 1789, 281, 279, 543, 454, 7474, 6998, 2696, 547, 281, 968, 1889, 5501, 856, 547, 596, 707, 3232, 3694, 685, 5645, 609, 454, 527, 513, 7662, 585, 9444, 6710, 6862, 13284, 1127, 563, 296, 1616, 547, 454, 335, 1021, 1934, 543, 2285, 2696, 519, 3794, 800, 563, 11990, 476, 1691, 281, 2918, 1809, 519, 1290, 1721, 614, 267, 799, 568, 519, 10513, 26415, 267, 7247, 519, 12429, 454, 15884, 6494, 538, 1250, 2012, 267, 646, 4927, 4001, 596, 782, 1919, 267, 543, 3142, 782, 1919, 547, 707, 1121, 27320, 267, 31049, 594, 723, 1767, 21349, 596, 563, 1103, 1250, 13977, 454, 15200, 1296, 607, 513, 1825, 591, 594, 723, 1336, 891, 1913, 540, 2441, 454, 1729, 581, 3020, 269, 769, 1250, 6107, 594, 30590, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 17491, 6807, 267, 5030, 1079, 1655, 2828, 267, 25381, 519, 22823, 543, 22123, 519, 26831, 269, 1358, 6068, 547, 27106, 8949, 13000, 543, 1451, 827, 2257, 1927, 269, 2290, 13566, 12784, 267, 789, 4956, 547, 1118, 741, 5172, 910, 10217, 13863, 12897, 2439, 289, 11035, 4280, 267, 834, 306, 958, 267, 666, 596, 11291, 519, 5820, 649, 991, 8119, 22123, 31113, 7396, 267, 834, 2171, 2154, 7912, 267, 11256, 14614, 267, 6070, 267, 7423, 267, 14836, 267, 5798, 267, 29877, 267, 543, 540, 1576, 267, 10217, 13365, 10590, 2701, 3773, 267, 834, 14503, 712, 3568, 5946, 602, 948, 1106, 15347, 950, 6404, 609, 5277, 267, 4758, 938, 23739, 922, 2497, 3010, 2026, 789, 20762, 519, 5820, 267, 22123, 6045, 875, 7423, 31136, 8335, 1759, 593, 2837, 1107, 693, 4055, 2837, 267, 621, 3587, 27598, 543, 20637, 2011, 267, 1818, 519, 23739, 1769, 543, 13035, 269, 1879, 12699, 1282, 11256, 267, 891, 22836, 4228, 883, 9252, 267, 4929, 519, 23739, 547, 4473, 780, 4407, 4946, 10217, 13365, 267, 25381, 9289, 1946, 930, 10346, 1572, 585, 669, 3739, 519, 14859, 1354, 11256, 269, 2060, 513, 1000, 30257, 538, 1200, 3750, 267, 22123, 1767, 267, 834, 2419, 3739, 25815, 1524, 519, 13621, 1184, 540, 3170, 6675, 267, 3850, 811, 1256, 3892, 2429, 519, 14859, 543, 7303, 7050, 10825, 1247, 5986, 3010, 5445, 5116, 1085, 334, 3591, 540, 14859, 5196, 11256, 9212, 543, 1402, 6244, 873, 538, 519, 840, 515, 730, 14089, 269, 2991, 8370, 3764, 267, 11344, 29744, 1642, 2074, 7153, 267, 11423, 519, 10051, 609, 22023, 626, 1043, 24710, 269, 1717, 267, 1945, 729, 1055, 282, 3368, 540, 519, 16801, 5828, 856, 6366, 607, 3443, 31817, 2439, 303, 340, 3960, 1194, 267, 25381, 20402, 1018, 4682, 4636, 269, 3911, 4979, 24617, 267, 22123, 14452, 267, 834, 5978, 4603, 2221, 11414, 721, 602, 5730, 7403, 616, 2629, 538, 11256, 269, 4634, 1498, 1312, 10627, 2583, 6743, 2147, 2469, 883, 519, 14089, 267, 22522, 12146, 12753, 3366, 547, 8795, 4093, 269, 3807, 899, 538, 1272, 267, 1373, 4977, 543, 13533, 11729, 1732, 2164, 3010, 13295, 267, 1169, 942, 2576, 12134, 25381, 1946, 1010, 12897, 3006, 2490, 856, 16168, 267, 646, 30491, 17869, 1176, 267, 834, 2005, 781, 782, 851, 540, 519, 6653, 3621, 7045, 10590, 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, 29205, 596, 1683, 513, 11600, 585, 10217, 13863, 12897, 888, 306, 675, 3364, 256, 3371, 568, 513, 11600, 585, 5929, 10217, 13863, 12897, 1384, 28808, 19263, 912, 268, 476, 273, 476, 272, 270, 275, 11680, 782, 26928, 7912, 454, 268, 476, 272, 512, 4944, 11256, 14614, 454, 268, 476, 272, 512, 4944, 6070, 454, 268, 476, 272, 7484, 5667, 531, 1540, 7423, 267, 21352, 539, 454, 268, 476, 274, 270, 275, 7484, 3043, 11491, 4327, 4006, 454, 268, 476, 274, 270, 275, 7484, 6960, 4006, 267, 14095, 454, 268, 476, 273, 1804, 5798, 454, 268, 476, 273, 512, 4944, 29877, 1349, 454, 268, 476, 273, 11680, 10217, 13365, 692, 17445, 687, 912, 272, 269, 2776, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1916, 273, 269, 769, 513, 5420, 12826, 267, 31953, 1927, 519, 7912, 267, 11256, 14614, 267, 543, 6070, 563, 274, 269, 769, 513, 1804, 12826, 267, 946, 513, 1688, 3575, 518, 610, 1796, 3575, 518, 547, 8645, 519, 21352, 539, 7423, 267, 3043, 4006, 267, 543, 6960, 4006, 2394, 1769, 543, 2770, 27918, 563, 275, 269, 5410, 519, 5798, 267, 835, 693, 513, 942, 267, 11544, 1134, 1310, 1142, 1840, 563, 276, 269, 853, 597, 538, 519, 29877, 1349, 563, 277, 269, 26431, 1039, 519, 7912, 7848, 547, 519, 7423, 7848, 267, 11544, 2394, 1175, 5916, 563, 278, 269, 853, 597, 538, 519, 10217, 13365, 563, 279, 269, 29100, 519, 14859, 676, 17031, 22635, 995, 338, 5196, 796, 26572, 1078, 11256, 9212, 563, 280, 269, 645, 820, 585, 476, 280, 268, 1556, 3764, 610, 2394, 11344, 6960, 563, 1015, 269, 2913, 3579, 593, 519, 11256, 9212, 585, 476, 276, 3764, 267, 1287, 9232, 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, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 2353, 28375, 538, 19565, 11470, 281, 10289, 14675, 18963, 538, 14639, 30621, 3650, 6723, 781, 3718, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 1523, 540, 782, 28375, 1369, 11174, 5708, 267, 4481, 6313, 922, 6165, 538, 519, 1568, 540, 12021, 2278, 14639, 30621, 3650, 6723, 269, 3414, 3695, 782, 28375, 543, 922, 4276, 547, 3280, 3270, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 1893, 946, 538, 3332, 1247, 7393, 741, 1378, 1603, 1983, 269, 901, 1770, 849, 8711, 875, 4207, 4589, 3136, 547, 8415, 782, 28375, 607, 513, 5339, 3926, 538, 1453, 781, 2835, 780, 296, 269, 4197, 2353, 28375, 692, 5472, 28375, 4016, 547, 519, 17279, 540, 3355, 27901, 4992, 538, 5702, 4448, 1913, 269, 898, 5932, 24754, 3270, 602, 1039, 8561, 543, 1404, 6888, 547, 5931, 269, 1677, 1732, 1174, 713, 1523, 267, 1577, 721, 4983, 930, 1134, 8153, 8320, 540, 782, 28375, 1336, 1312, 3330, 543, 3544, 540, 3332, 1384, 265, 8834, 13100, 704, 13603, 513, 890, 1188, 540, 4584, 1194, 18717, 563, 265, 589, 2462, 6960, 7703, 536, 22981, 676, 519, 15922, 563, 265, 634, 3032, 7683, 804, 31090, 693, 519, 1225, 1555, 563, 265, 30985, 7068, 1212, 696, 15891, 13124, 998, 519, 1309, 591, 333, 748, 13946, 780, 4322, 1806, 13686, 875, 782, 28375, 3096, 2147, 4098, 4992, 547, 1711, 12300, 2453, 543, 2502, 2984, 269, 1635, 18110, 891, 4992, 267, 5830, 1683, 3988, 609, 17391, 10291, 602, 3986, 8223, 543, 18399, 780, 2862, 269, 2561, 3285, 908, 2353, 28375, 538, 14639, 30621, 3650, 6723, 781, 3718, 692, 9961, 1200, 13747, 4876, 267, 14639, 30621, 3650, 6723, 814, 6964, 782, 28375, 3927, 538, 1082, 540, 1200, 28601, 9089, 543, 4605, 2835, 269, 769, 3733, 17121, 540, 519, 13738, 267, 1352, 12857, 16502, 6341, 717, 1026, 2917, 899, 865, 912, 285, 1261 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17138, 540, 2376, 281, 13317, 1125, 1101, 2262, 540, 5705, 1856, 269, 1924, 267, 594, 5000, 596, 547, 1118, 513, 7662, 269, 1924, 267, 952, 513, 1268, 1031, 513, 1433, 267, 513, 3896, 267, 513, 4760, 2376, 267, 513, 11356, 2376, 267, 543, 606, 552, 26247, 267, 782, 538, 835, 1382, 1788, 267, 789, 941, 2838, 547, 1413, 909, 875, 547, 13712, 1142, 835, 540, 1346, 2959, 1317, 1142, 729, 11295, 8335, 269, 3657, 972, 1022, 824, 20334, 945, 616, 4143, 547, 707, 1788, 286, 594, 5660, 875, 789, 2482, 856, 1142, 1858, 540, 519, 1808, 1957, 3584, 282, 1568, 11855, 2985, 267, 3349, 540, 9115, 267, 3092, 269, 1306, 513, 2852, 15938, 267, 713, 568, 519, 1034, 2693, 11239, 2511, 596, 3513, 2196, 883, 269, 1284, 782, 917, 3025, 22876, 2858, 7149, 543, 519, 1557, 568, 1813, 14182, 865, 13071, 1205, 621, 2944, 256, 4634, 952, 596, 946, 5515, 610, 7194, 267, 596, 723, 547, 5815, 1141, 596, 723, 1336, 713, 1344, 547, 1118, 707, 960, 23674, 563, 21812, 281, 2073, 634, 17404, 568, 519, 2754, 610, 3919, 5097, 3743, 585, 1818, 519, 3381, 269, 1403, 707, 1382, 1788, 6212, 593, 606, 3606, 1367, 16310, 519, 2278, 267, 610, 596, 1745, 607, 1498, 1519, 824, 20334, 786, 948, 519, 5467, 12398, 519, 2707, 2933, 267, 1331, 741, 4408, 538, 519, 11239, 269, 16103, 267, 11247, 267, 543, 3615, 666, 581, 2938, 538, 1268, 610, 538, 513, 4199, 269, 10557, 267, 543, 6601, 24229, 12070, 332, 1054, 700, 518, 1676, 267, 15769, 269, 1215, 547, 13712, 606, 3239, 538, 1820, 281, 7831, 2012, 267, 3689, 2012, 540, 519, 17082, 952, 2139, 269, 4033, 608, 290, 1746, 2242, 1452, 616, 519, 1079, 1292, 2242, 547, 538, 519, 21632, 7160, 855, 972, 616, 513, 1297, 540, 824, 1507, 2242, 563, 1692, 547, 2142, 513, 13786, 1043, 1763, 792, 7815, 610, 10104, 281, 32027, 1927, 513, 1382, 1788, 3322, 10478, 585, 1344, 267, 22412, 908, 543, 7421, 1344, 267, 10655, 1344, 267, 543, 1065, 584, 19397, 1344, 269, 1358, 5815, 1141, 4010, 835, 666, 1265, 519, 3312, 2856, 269, 5450, 549, 1715, 3840, 267, 476, 866, 5147, 476, 1001, 278, 267, 533, 269, 9255, 540, 22910, 281, 21629, 267, 5729, 540, 22910, 269, 634, 1739, 8711, 1614, 1455, 11239, 6163, 267, 875, 547, 946, 9786, 6478, 781, 11239, 2934, 543, 930, 4388, 543, 5363, 6402, 269, 1403, 519, 2140, 568, 851, 540, 513, 3677, 2898, 267, 1747, 519, 2140, 540, 519, 2707, 538, 19722, 7436, 543, 519, 2707, 621, 18795, 538, 267, 538, 24495, 923, 563, 17206, 540, 16506, 4964, 267, 476, 1960, 280, 269, 1677, 13712, 513, 1808, 1650, 267, 610, 3184, 267, 538, 519, 1433, 267, 621, 1131, 581, 11855, 607, 713, 281, 2051, 2536, 267, 18281, 269, 1411, 949, 1616, 547, 1331, 824, 1344, 267, 971, 607, 519, 2012, 540, 707, 1153, 610, 6280, 269, 7170, 540, 1433, 281, 13317, 1125, 1101, 2262, 540, 5705, 1856, 269, 4653, 267, 649, 616, 6126, 547, 3142, 938, 10700, 11239, 11718, 547, 707, 3007, 563, 3725, 268, 6748, 513, 1788, 610, 1957, 689, 1776, 1362, 610, 942, 543, 6031, 602, 621, 568, 1007, 568, 17096, 269, 6201, 540, 13129, 8525, 9978, 3883, 14474, 281, 8191, 7831, 8745, 267, 8191, 3689, 8745, 269, 7151, 2443, 15610, 2376, 267, 5769, 267, 17404, 568, 1482, 607, 5680, 3135, 2140, 865, 798, 711, 1592, 17404, 2422, 713, 10959, 585, 5680, 3135, 4930, 269, 1717, 267, 8261, 960, 19330, 19870, 269, 1358, 1058, 1683, 596, 609, 519, 1344, 2877, 547, 1711, 513, 5094, 267, 1367, 2140, 2985, 269, 1403, 519, 2012, 540, 519, 23784, 2501, 1310, 513, 1974, 267, 31194, 519, 1101, 4484, 538, 519, 1909, 540, 519, 1367, 269, 5518, 17394, 729, 7166, 538, 476, 3422, 274, 563, 763, 7464, 8779, 540, 12128, 281, 4144, 12185, 14272, 1290, 4124, 3657, 5871, 543, 8779, 569, 269, 6201, 540, 13129, 8525, 9978, 3883, 14474, 281, 8191, 7831, 8745, 267, 8191, 3689, 8745, 5729, 540, 22910, 269, 27752, 610, 9524, 518, 281, 5903, 519, 5856, 610, 1685, 518, 540, 519, 5152, 267, 2575, 267, 4633, 267, 610, 5925, 1982, 269, 769, 1249, 267, 1082, 540, 891, 4610, 786, 1034, 2693, 581, 31360, 689, 707, 14327, 269, 18564, 602, 538, 519, 1383, 2630, 267, 519, 2012, 540, 519, 17404, 634, 1977, 23093, 12278, 6481, 5948, 568, 31360, 2094, 519, 2012, 540, 519, 17404, 568, 519, 1482, 2012, 607, 519, 2278, 269, 3502, 2386, 875, 547, 4483, 519, 1344, 689, 707, 2707, 883, 707, 11239, 286, 1403, 596, 1224, 610, 6382, 4718, 606, 5967, 267, 946, 519, 10959, 585, 519, 2707, 602, 3769, 519, 5967, 281, 1433, 267, 12139, 610, 11356, 267, 8301, 610, 3381, 10916, 267, 610, 5680, 3135, 269, 1684, 711, 1331, 1870, 1913, 899, 7577, 267, 17290, 267, 610, 14119, 730, 563, 2710, 711, 1331, 4139, 9208, 3883, 10606, 538, 519, 11239, 269, 1717, 267, 1082, 4081, 5238, 543, 10459, 4782, 513, 1808, 2511, 540, 26159, 610, 723, 1256, 2919, 741, 1378, 2189, 3898, 865, 581, 2386, 547, 2638, 799, 2511, 596, 1058, 581, 1210, 609, 707, 7548, 269, 634, 1966, 568, 602, 11239, 16621, 865, 1082, 3877, 602, 621, 666, 1205, 10169, 18646, 727, 269, 1280, 3236, 267, 596, 616, 1603, 513, 2165, 1957, 593, 513, 8739, 27791, 1888, 543, 596, 991, 547, 7696, 513, 2012, 540, 513, 16159, 269, 634, 7073, 5678, 5948, 21892, 713, 1007, 3898, 1813, 547, 519, 1082, 1007, 543, 5499, 2081, 540, 13844, 1344, 563, 6624, 1053, 1205, 21616, 827, 621, 543, 1832, 22876, 2858, 3215, 585, 513, 1279, 942, 269, 2422, 538, 17856, 267, 610, 2385, 16375, 14327, 267, 538, 519, 1560, 540, 707, 960, 269, 2659, 11239, 568, 3144, 538, 23049, 269, 3509, 2053, 267, 2959, 666, 1694, 538, 811, 982, 835, 8708, 269, 4746, 267, 596, 666, 581, 19039, 569, 2386, 602, 596, 4465, 1405, 581, 15034, 540, 17096, 267, 607, 782, 707, 2959, 786, 1205, 741, 1813, 8100, 269, 9255, 540, 22910, 281, 21629, 267, 5729, 540, 22910, 563, 2252, 519, 2707, 6763, 4805, 267, 2495, 602, 621, 568, 606, 4830, 2707, 267, 1747, 519, 2140, 538, 24495, 923, 269, 717, 1446, 2657, 13129, 4741, 14288, 267, 1775, 269, 15233, 519, 1482, 5690, 540, 3527, 547, 1205, 513, 4712, 13402, 4704, 281, 9466, 267, 808, 269, 7151, 585, 519, 1820, 12139, 2376, 1657, 281, 717, 641, 23364, 267, 14088, 269, 1717, 267, 952, 519, 1344, 3357, 689, 1776, 2707, 1826, 267, 946, 519, 10959, 585, 602, 2707, 1826, 3079, 269, 0, 514, 1203, 800, 630, 1042, 20526, 689, 5940, 5962, 11891, 994, 9827, 1336, 538, 281, 9218, 454, 763, 6151, 2326, 454, 663, 519, 2472, 1500, 689, 873, 602, 513, 2754, 19299, 543, 30242, 547, 6133, 454, 514, 2110, 1931, 269, 898, 849, 2882, 6151, 2326, 602, 616, 538, 519, 1184, 540, 1373, 1500, 883, 513, 3803, 1587, 269, 22802, 568, 2808, 606, 10697, 454, 517, 513, 3666, 6656, 454, 267, 855, 1317, 621, 2501, 609, 3790, 454, 4433, 1276, 607, 4859, 543, 27253, 720, 1070, 1034, 3549, 3343, 547, 1265, 513, 3666, 1063, 2348, 1932, 1454, 11891, 267, 799, 2501, 609, 891, 3790, 267, 543, 1932, 2370, 267, 799, 1223, 1267, 538, 519, 2754, 711, 11423, 9753, 585, 519, 1587, 269, 22802, 949, 581, 20039, 454, 517, 513, 2063, 2987, 23867, 13050, 454, 528, 513, 1101, 2987, 23867, 13050, 4493, 267, 799, 1142, 814, 5383, 543, 11393, 269, 6423, 849, 281, 3807, 2987, 6874, 830, 454, 763, 2179, 540, 6151, 2326, 267, 960, 538, 1184, 267, 543, 8737, 5370, 1373, 4371, 585, 9042, 693, 513, 2016, 942, 269, 18924, 4637, 4371, 676, 513, 13049, 518, 267, 9817, 11262, 676, 4937, 7763, 832, 267, 543, 27574, 543, 13792, 3536, 538, 513, 17365, 4558, 5832, 781, 23999, 616, 1806, 540, 11891, 269, 22802, 568, 3622, 519, 2547, 5277, 6221, 7396, 676, 513, 6109, 538, 519, 1699, 10697, 2272, 540, 922, 3666, 6656, 269, 6423, 849, 4098, 11891, 454, 267, 10678, 11891, 454, 263, 272, 264, 634, 2698, 1592, 902, 6417, 676, 513, 1483, 10040, 30549, 15301, 273, 264, 634, 2698, 3959, 585, 9042, 610, 25755, 538, 513, 3989, 1858, 15301, 274, 264, 16296, 4371, 585, 9042, 538, 519, 8723, 1576, 540, 1870, 610, 547, 581, 1031, 538, 519, 5478, 540, 5370, 4371, 585, 9042, 15301, 275, 264, 1323, 6221, 1242, 17609, 540, 2123, 3959, 563, 2690, 4747, 3454, 5301, 267, 11891, 5161, 540, 3688, 9715, 585, 9042, 547, 5561, 538, 519, 2834, 1576, 540, 513, 27710, 9707, 781, 4123, 610, 1870, 269, 0, 306, 21788, 4753, 281, 3778, 540, 7147, 267, 8625, 609, 513, 4437, 7240, 3778, 540, 6660, 600, 267, 5261, 5459, 267, 645, 770, 1886, 267, 3004, 6665, 267, 10557, 543, 8738, 956, 517, 4032, 625, 269, 630, 2419, 8522, 267, 14889, 281, 11066, 267, 476, 6245, 274, 1070, 533, 269, 476, 24783, 1299, 476, 26552, 563, 290, 2194, 269, 700, 990, 731, 700, 269, 10557, 267, 513, 16027, 540, 6660, 600, 10315, 267, 568, 513, 5065, 540, 4446, 13118, 10315, 267, 17665, 267, 1141, 646, 729, 4535, 5147, 476, 1724, 267, 476, 7277, 273, 269, 3571, 3237, 941, 10261, 5069, 10557, 267, 4535, 538, 16962, 10315, 267, 11908, 267, 538, 476, 8687, 276, 267, 543, 2506, 13824, 267, 683, 324, 11066, 267, 4535, 538, 3345, 10491, 538, 476, 8687, 280, 269, 3571, 1004, 593, 1312, 5011, 941, 1851, 519, 2038, 13896, 540, 17665, 267, 3001, 972, 538, 2038, 4095, 2053, 543, 23928, 593, 1018, 729, 1287, 519, 20281, 269, 3571, 533, 11189, 22516, 267, 10261, 5069, 10557, 267, 729, 513, 9098, 1544, 614, 4448, 609, 519, 1390, 10557, 1920, 540, 602, 3557, 269, 1261, 6039, 538, 519, 2112, 540, 476, 8687, 273, 267, 543, 827, 519, 1482, 4266, 3576, 909, 15335, 538, 17665, 267, 1141, 646, 5030, 2394, 1010, 2669, 267, 827, 476, 6977, 271, 267, 513, 25133, 1544, 614, 543, 10553, 8227, 269, 10261, 5069, 10557, 267, 519, 4651, 540, 519, 1641, 540, 713, 5469, 267, 9310, 827, 519, 2085, 540, 8938, 267, 538, 476, 8146, 276, 267, 543, 12306, 593, 513, 3484, 538, 4446, 13118, 10315, 267, 1141, 646, 5030, 2394, 1010, 2669, 267, 799, 7018, 538, 5988, 267, 476, 6642, 278, 269, 2755, 646, 729, 2141, 5461, 538, 8105, 267, 646, 729, 849, 693, 1114, 2053, 538, 1272, 5461, 538, 24271, 656, 850, 18697, 543, 729, 3833, 3811, 269, 1261, 4503, 8185, 676, 519, 2112, 267, 855, 1010, 1648, 543, 1434, 2359, 13087, 1864, 547, 7816, 1010, 24906, 6830, 17480, 538, 513, 9645, 2268, 543, 1010, 19394, 1296, 941, 1863, 689, 1416, 269, 4014, 513, 10553, 268, 26782, 646, 10353, 694, 20896, 267, 18468, 602, 513, 811, 7787, 3070, 540, 519, 1966, 1223, 581, 1336, 982, 606, 9029, 547, 7916, 269, 769, 713, 3661, 646, 729, 4440, 6766, 10169, 676, 1010, 3105, 2797, 2866, 543, 7681, 269, 1261, 729, 513, 1390, 23507, 337, 540, 8361, 22110, 543, 513, 588, 21123, 1139, 7163, 540, 1733, 580, 3800, 543, 3741, 269, 1280, 5176, 15823, 1296, 646, 729, 513, 19731, 731, 543, 4147, 6122, 14575, 538, 519, 6396, 626, 5783, 267, 2141, 2921, 1390, 1719, 538, 782, 5686, 540, 3909, 960, 543, 3226, 602, 540, 1010, 1378, 5939, 269, 1261, 729, 849, 513, 28224, 543, 729, 12617, 609, 631, 21319, 26549, 563, 763, 3993, 540, 519, 1641, 540, 713, 2376, 267, 2506, 13824, 11066, 267, 729, 8250, 540, 4432, 3272, 543, 27211, 11066, 267, 945, 6410, 547, 1018, 568, 1631, 4446, 13118, 10315, 267, 17665, 267, 2038, 538, 713, 2540, 267, 1373, 3345, 8349, 29562, 676, 4332, 543, 540, 2296, 5169, 269, 1358, 941, 849, 1804, 1544, 1562, 543, 1004, 540, 930, 1797, 543, 1434, 7555, 1141, 789, 5030, 269, 11427, 269, 10557, 5747, 538, 476, 6942, 272, 269, 4256, 24369, 1453, 941, 281, 2904, 267, 519, 21549, 7385, 5484, 674, 269, 8891, 1399, 282, 16962, 700, 5919, 27211, 267, 796, 3405, 3072, 282, 700, 990, 731, 700, 5919, 8861, 661, 1421, 519, 21549, 7385, 540, 5516, 344, 700, 11035, 282, 7917, 661, 5919, 6723, 654, 5919, 9098, 267, 519, 7385, 540, 5261, 744, 269, 667, 4319, 9445, 282, 10261, 5069, 282, 9410, 13162, 267, 945, 5747, 1762, 282, 9478, 717, 1421, 945, 5747, 693, 519, 2085, 540, 19939, 282, 18148, 674, 1421, 543, 1325, 15343, 639, 808, 269, 2986, 1346, 602, 616, 2713, 782, 4849, 1614, 2661, 693, 8402, 6807, 267, 17665, 281, 1079, 540, 891, 1614, 267, 16962, 700, 269, 543, 700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1428, 23385, 540, 476, 279, 568, 476, 31634, 780, 304, 476, 4343, 780, 8340, 519, 2040, 540, 519, 9642, 2338, 1063, 476, 271, 543, 476, 2004, 780, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 744, 9536, 2338, 1063, 476, 271, 543, 476, 2004, 616, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 23099, 1421, 476, 5392, 454, 4322, 2338, 616, 538, 589, 10422, 269, 971, 602, 513, 815, 476, 272, 543, 561, 815, 476, 5392, 454, 2080, 267, 546, 815, 476, 274, 910, 476, 272, 815, 476, 273, 454, 307, 333, 815, 513, 1341, 630, 333, 910, 476, 272, 264, 323, 454, 22382, 476, 5392, 815, 476, 272, 1341, 630, 333, 910, 476, 272, 264, 273, 2340, 18568, 476, 5392, 910, 476, 272, 815, 630, 333, 910, 476, 272, 264, 273, 692, 333, 815, 476, 2190, 1341, 476, 272, 815, 476, 1839, 454, 284, 476, 1839, 6398, 476, 1839, 815, 476, 27698, 454, 13295, 267, 519, 2040, 540, 9642, 2338, 1063, 476, 271, 543, 476, 2004, 568, 476, 27698, 780, 304, 476, 4375, 780, 288, 4579, 593, 4070, 2816, 23403, 513, 15163, 585, 8488, 540, 12032, 3564, 513, 1978, 4266, 607, 5205, 2433, 19238, 373, 476, 1220, 585, 519, 1101, 1554, 267, 19238, 373, 476, 7742, 585, 519, 2034, 1554, 267, 19238, 373, 476, 4968, 585, 519, 3791, 1554, 267, 3092, 1421, 519, 15163, 585, 1142, 8011, 532, 1554, 1373, 19238, 373, 476, 2004, 811, 982, 585, 519, 18631, 1554, 269, 1215, 1454, 2724, 519, 28079, 814, 547, 2628, 607, 15163, 267, 952, 646, 814, 16607, 519, 960, 676, 476, 1789, 2395, 2496, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 3371, 267, 15163, 585, 8488, 593, 454, 272, 560, 1554, 815, 19238, 373, 476, 1220, 454, 273, 526, 1554, 815, 19238, 373, 476, 7742, 454, 274, 6113, 1554, 815, 19238, 373, 476, 4968, 454, 5541, 2483, 5541, 2483, 3086, 267, 476, 1220, 267, 476, 7742, 267, 476, 4968, 267, 10371, 1862, 616, 538, 589, 10422, 269, 971, 602, 513, 815, 476, 1220, 267, 546, 815, 476, 7742, 910, 476, 1220, 815, 476, 2004, 454, 306, 1789, 568, 2016, 676, 692, 284, 476, 1428, 314, 6110, 1341, 476, 3066, 6398, 476, 2004, 316, 815, 476, 1428, 314, 6110, 1341, 476, 13970, 271, 2639, 284, 476, 1428, 6398, 476, 6977, 271, 815, 476, 2767, 267, 16020, 454, 13295, 267, 15163, 585, 519, 8488, 585, 476, 1789, 2395, 568, 19238, 373, 476, 2767, 267, 16020, 780, 304, 476, 2412, 780, 288, 2040, 540, 19238, 373, 476, 10384, 568, 547, 581, 1031, 547, 2285, 5722, 6666, 26065, 547, 1053, 540, 513, 1153, 585, 741, 2949, 4081, 2773, 269, 1403, 1142, 16101, 568, 19238, 373, 476, 736, 1447, 982, 922, 18631, 16101, 267, 1265, 519, 1871, 540, 1142, 540, 519, 26065, 780, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 5681, 540, 782, 519, 26065, 815, 19238, 373, 476, 10384, 454, 4131, 519, 1101, 16101, 815, 513, 454, 30043, 476, 273, 526, 16101, 815, 630, 320, 910, 476, 736, 994, 274, 6113, 16101, 815, 630, 320, 910, 476, 2412, 994, 275, 628, 16101, 815, 630, 320, 910, 476, 2568, 994, 9982, 5541, 27401, 2483, 13295, 267, 649, 723, 267, 1101, 2165, 815, 513, 454, 13349, 3017, 815, 910, 736, 454, 11764, 540, 476, 278, 2474, 590, 278, 815, 476, 10384, 454, 7712, 10484, 22382, 476, 1220, 815, 476, 273, 320, 910, 476, 6344, 2340, 18568, 476, 273, 320, 815, 476, 1220, 1341, 476, 6344, 815, 476, 17168, 692, 13295, 267, 519, 2418, 540, 519, 5722, 26065, 616, 19238, 373, 476, 8182, 267, 19238, 373, 263, 8182, 910, 476, 736, 1070, 19238, 373, 263, 8182, 910, 476, 2412, 1070, 19238, 373, 263, 8182, 910, 476, 3199, 1070, 19238, 373, 263, 8182, 910, 476, 1911, 264, 543, 19238, 373, 263, 8182, 910, 476, 6344, 264, 815, 19238, 373, 476, 8182, 267, 19238, 373, 476, 9610, 267, 19238, 373, 476, 6344, 267, 19238, 373, 476, 1911, 267, 19238, 373, 476, 3199, 267, 19238, 373, 476, 2568, 543, 19238, 373, 476, 2412, 780, 304, 476, 6078, 780, 1103, 513, 1153, 267, 1053, 2219, 540, 9544, 4054, 538, 543, 1472, 519, 1153, 547, 2569, 2011, 5533, 269, 898, 729, 4956, 602, 519, 1297, 540, 4054, 267, 602, 1142, 3296, 540, 1142, 1362, 786, 2030, 267, 786, 581, 519, 1482, 607, 519, 1362, 267, 538, 799, 789, 616, 4974, 267, 552, 3052, 1421, 513, 3296, 540, 4147, 594, 786, 2030, 476, 272, 3529, 267, 513, 3296, 540, 4147, 4083, 786, 2030, 476, 273, 4054, 543, 865, 593, 11489, 4147, 2473, 2862, 269, 1703, 616, 1614, 6810, 540, 1142, 1362, 269, 1215, 1082, 4054, 786, 581, 12630, 676, 519, 1053, 26042, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 7089, 540, 5049, 815, 476, 1321, 454, 4501, 369, 3962, 1362, 814, 476, 274, 6810, 563, 30043, 7089, 540, 2371, 12630, 676, 1362, 594, 21591, 272, 6398, 476, 274, 815, 476, 274, 454, 10831, 540, 2371, 12630, 676, 1362, 4083, 21591, 273, 6398, 476, 274, 815, 476, 277, 454, 10831, 540, 2371, 12630, 676, 1362, 8633, 21591, 274, 6398, 476, 274, 815, 476, 280, 454, 10831, 540, 2371, 12630, 676, 1362, 10001, 21591, 275, 6398, 476, 274, 815, 476, 1321, 454, 32458, 955, 454, 10831, 540, 2371, 12630, 676, 1362, 2473, 2862, 21591, 1321, 6398, 476, 274, 815, 476, 3607, 454, 20118, 267, 519, 2338, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 267, 476, 5541, 1421, 476, 3607, 616, 538, 589, 10422, 563, 2080, 267, 513, 815, 476, 274, 543, 546, 815, 476, 277, 910, 476, 274, 815, 476, 274, 454, 4501, 369, 7089, 540, 5049, 815, 476, 1321, 1775, 4318, 1421, 562, 815, 476, 1321, 454, 30043, 5681, 519, 562, 2474, 540, 519, 1657, 589, 10422, 1421, 568, 2016, 676, 692, 284, 476, 277, 314, 277, 1341, 476, 1556, 6398, 476, 274, 316, 815, 476, 277, 314, 277, 1341, 476, 3451, 316, 815, 476, 277, 6398, 476, 4375, 815, 476, 23056, 454, 13295, 267, 519, 2698, 1297, 540, 4054, 815, 476, 23056, 780, 304, 476, 5655, 780, 288, 18700, 568, 1500, 909, 540, 20422, 10859, 2275, 597, 3380, 267, 609, 18013, 3124, 2299, 693, 589, 543, 645, 267, 4358, 609, 8998, 693, 589, 267, 540, 2234, 4512, 476, 271, 269, 276, 4699, 267, 476, 272, 269, 271, 4699, 267, 476, 272, 269, 276, 4699, 267, 476, 273, 269, 271, 4699, 267, 10371, 1862, 607, 3254, 538, 4137, 269, 1548, 568, 519, 2698, 3259, 540, 971, 513, 18700, 1500, 909, 540, 24369, 15654, 10859, 2275, 597, 3380, 2496, 314, 295, 842, 2433, 20099, 540, 20422, 10859, 2275, 597, 3380, 568, 561, 272, 267, 561, 273, 267, 561, 274, 267, 561, 275, 267, 23099, 609, 18013, 693, 589, 267, 645, 267, 589, 267, 645, 267, 23099, 267, 6606, 269, 6540, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 3980, 369, 20099, 540, 513, 10859, 2275, 22511, 21591, 9895, 328, 18592, 454, 331, 272, 815, 12631, 337, 272, 815, 476, 271, 269, 276, 12631, 4699, 815, 476, 272, 6398, 476, 271, 269, 276, 12631, 4699, 454, 331, 273, 815, 12631, 337, 273, 815, 476, 272, 269, 271, 12631, 4699, 815, 476, 273, 6398, 476, 271, 269, 276, 12631, 4699, 454, 331, 274, 815, 12631, 337, 274, 815, 476, 272, 269, 276, 12631, 4699, 815, 476, 274, 6398, 476, 271, 269, 276, 12631, 4699, 454, 331, 275, 815, 12631, 337, 275, 815, 476, 273, 269, 271, 12631, 4699, 815, 476, 275, 6398, 476, 271, 269, 276, 12631, 4699, 454, 27401, 476, 5541, 2807, 476, 5541, 2807, 19601, 331, 1724, 815, 12631, 337, 1724, 4699, 815, 476, 277, 269, 276, 12631, 4699, 815, 476, 1724, 6398, 476, 271, 269, 276, 12631, 4699, 454, 3086, 267, 3259, 540, 519, 18700, 21591, 331, 272, 1341, 561, 273, 1341, 561, 274, 1341, 561, 275, 1341, 23099, 907, 1341, 561, 1724, 454, 284, 476, 271, 269, 276, 11027, 314, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 10371, 1862, 1341, 476, 1724, 316, 4699, 2560, 263, 272, 994, 4501, 369, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 23099, 24222, 476, 1724, 616, 538, 589, 10422, 269, 971, 602, 454, 320, 815, 476, 272, 543, 561, 815, 476, 1724, 692, 30043, 3245, 630, 272, 1070, 649, 723, 10778, 13707, 3259, 540, 519, 18700, 815, 476, 271, 269, 276, 11027, 314, 11011, 316, 4699, 692, 304, 476, 6246, 780, 1220, 20743, 616, 30528, 538, 519, 1739, 6073, 2433, 476, 736, 20743, 538, 519, 5377, 4737, 267, 476, 866, 538, 519, 1985, 4737, 267, 476, 1240, 538, 519, 4737, 1985, 547, 621, 543, 865, 593, 630, 5408, 4137, 1040, 769, 875, 1082, 9343, 616, 519, 476, 1220, 20743, 5116, 543, 875, 1082, 20743, 616, 538, 519, 1283, 4737, 2496, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 634, 1297, 540, 20743, 538, 454, 272, 560, 4737, 815, 476, 736, 454, 273, 526, 4737, 815, 476, 866, 454, 274, 6113, 4737, 815, 476, 1240, 15069, 267, 519, 2338, 476, 736, 267, 476, 866, 267, 476, 1240, 267, 23099, 907, 267, 616, 538, 589, 10422, 1421, 971, 602, 513, 815, 476, 736, 454, 323, 815, 476, 866, 910, 476, 736, 815, 910, 476, 272, 454, 4131, 519, 2338, 540, 9343, 581, 562, 563, 27409, 815, 476, 1220, 454, 3086, 10484, 22382, 476, 273, 6398, 476, 1220, 815, 562, 6398, 476, 2412, 910, 562, 3799, 910, 476, 272, 994, 22382, 476, 6110, 815, 476, 2412, 333, 910, 562, 273, 1341, 562, 333, 273, 910, 476, 6078, 333, 1341, 476, 6110, 815, 476, 271, 454, 333, 273, 910, 476, 1626, 333, 910, 476, 1839, 333, 1341, 476, 6110, 815, 476, 271, 454, 333, 3799, 910, 476, 1626, 264, 910, 476, 1839, 3799, 910, 476, 1626, 264, 815, 476, 271, 454, 22382, 630, 333, 910, 476, 1626, 7565, 333, 910, 476, 1839, 264, 815, 476, 271, 454, 292, 2416, 454, 333, 910, 476, 1626, 815, 476, 271, 2340, 18568, 562, 815, 476, 1626, 610, 562, 910, 476, 1839, 815, 476, 271, 2340, 18568, 562, 815, 476, 1839, 454, 307, 333, 815, 476, 271, 2340, 18568, 513, 1341, 630, 333, 910, 476, 272, 264, 323, 815, 476, 271, 454, 22382, 476, 736, 1341, 630, 333, 910, 476, 272, 264, 6398, 11196, 272, 264, 815, 476, 271, 454, 333, 910, 476, 272, 815, 476, 736, 454, 333, 815, 476, 2641, 1775, 4318, 1421, 476, 2641, 560, 2165, 3587, 476, 271, 454, 333, 815, 476, 1839, 568, 711, 2838, 563, 30043, 7089, 540, 9343, 815, 476, 1626, 454, 3086, 267, 570, 1626, 815, 513, 1341, 630, 1626, 910, 476, 272, 264, 323, 815, 476, 736, 1341, 476, 1428, 6398, 11196, 272, 994, 284, 476, 736, 910, 476, 1428, 815, 476, 276, 454, 30043, 7089, 540, 20743, 538, 519, 476, 1626, 628, 630, 9008, 264, 4737, 568, 476, 276, 780, 304, 476, 4510, 780, 1103, 513, 15837, 5198, 267, 513, 19943, 568, 5116, 693, 519, 4358, 1448, 267, 799, 568, 476, 276, 544, 689, 519, 1101, 15837, 267, 543, 519, 824, 12277, 616, 5116, 476, 274, 544, 6306, 538, 513, 2786, 1899, 269, 1703, 616, 4557, 12277, 538, 519, 1899, 630, 5408, 4137, 6393, 288, 2841, 3218, 6238, 689, 519, 19943, 267, 26717, 909, 519, 14282, 15837, 267, 8255, 1394, 609, 621, 267, 12772, 621, 538, 519, 19943, 267, 8255, 1394, 547, 4584, 909, 519, 1985, 15837, 267, 8255, 547, 519, 19943, 547, 6749, 621, 538, 267, 543, 1352, 5170, 538, 519, 1482, 1259, 2394, 782, 519, 12277, 616, 538, 519, 19943, 269, 1548, 568, 519, 2698, 3845, 519, 2841, 3218, 814, 547, 2196, 888, 314, 295, 842, 2433, 1677, 4584, 909, 519, 1101, 15837, 543, 519, 2034, 15837, 267, 519, 2698, 3845, 630, 514, 15432, 264, 2196, 676, 513, 2841, 3218, 568, 476, 273, 6398, 476, 276, 1341, 476, 273, 6398, 630, 276, 1341, 476, 274, 264, 6540, 306, 5357, 28513, 1384, 22069, 333, 269, 2433, 3371, 267, 1297, 540, 12277, 815, 476, 1015, 454, 763, 909, 16365, 3845, 540, 519, 19943, 10778, 5804, 519, 476, 272, 560, 15837, 815, 1496, 276, 332, 316, 6398, 476, 273, 815, 476, 1015, 544, 454, 5804, 519, 476, 273, 526, 15837, 815, 27883, 276, 1341, 476, 274, 264, 332, 316, 6398, 476, 273, 815, 476, 1626, 544, 454, 5804, 519, 476, 274, 6113, 15837, 815, 27883, 276, 1341, 476, 274, 1341, 476, 274, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 298, 12609, 568, 519, 9304, 540, 5530, 306, 19281, 563, 2791, 666, 4444, 610, 7118, 811, 918, 12609, 693, 20471, 543, 28099, 655, 621, 585, 1362, 4967, 267, 1353, 10274, 267, 15460, 267, 543, 811, 2336, 14630, 23095, 281, 476, 6349, 270, 2641, 270, 1626, 454, 290, 4047, 300, 476, 9873, 272, 674, 17920, 476, 1220, 274, 570, 12239, 476, 272, 966, 8991, 12778, 476, 272, 12971, 595, 4047, 288, 16249, 256, 645, 308, 17668, 4041, 5442, 968, 272, 892, 5442, 5990, 623, 23333, 9331, 301, 9215, 717, 4953, 22400, 16998, 32767, 18161, 4306, 3633, 8627, 26008, 1496, 1492, 1152, 1259, 596, 3580, 1265, 856, 875, 596, 1705, 256, 316, 476, 272, 269, 634, 9147, 16380, 5156, 538, 2185, 2609, 269, 2290, 540, 891, 834, 324, 6123, 257, 2221, 568, 1634, 547, 581, 513, 24267, 7848, 269, 6904, 568, 621, 286, 630, 288, 264, 2011, 630, 289, 264, 3618, 630, 290, 264, 8988, 630, 291, 264, 3595, 630, 292, 264, 1216, 476, 273, 269, 6904, 540, 519, 1739, 12596, 4564, 606, 3693, 286, 630, 288, 264, 4425, 630, 289, 264, 31254, 630, 290, 264, 21398, 630, 291, 264, 744, 630, 292, 264, 670, 744, 476, 274, 476, 273, 476, 273, 476, 274, 269, 6904, 540, 519, 1739, 568, 27235, 3957, 607, 513, 1876, 610, 3069, 286, 630, 288, 264, 634, 3069, 540, 4720, 602, 2829, 602, 812, 568, 26731, 689, 3284, 525, 269, 630, 289, 264, 19576, 781, 4521, 602, 2829, 602, 960, 21040, 547, 6445, 519, 28286, 1540, 942, 269, 630, 290, 264, 15196, 548, 781, 4521, 7474, 2829, 602, 519, 4320, 543, 2604, 540, 513, 3154, 616, 11201, 569, 14354, 630, 291, 264, 966, 306, 7968, 305, 4521, 602, 2829, 602, 3337, 540, 513, 11140, 568, 1813, 547, 9211, 1065, 2454, 1142, 824, 630, 292, 264, 2353, 540, 891, 616, 7157, 3957, 607, 513, 1876, 610, 513, 3069, 269, 476, 275, 269, 6904, 540, 891, 6898, 568, 513, 12343, 630, 31742, 338, 689, 264, 519, 4521, 540, 4347, 9548, 1160, 15251, 630, 1260, 6570, 21663, 476, 3374, 476, 4391, 630, 288, 264, 2353, 5439, 540, 20841, 2270, 519, 1079, 24745, 267, 5141, 543, 1849, 267, 538, 519, 1482, 5223, 269, 630, 289, 264, 634, 2527, 540, 5135, 602, 568, 5916, 609, 513, 6378, 2527, 540, 9436, 538, 7135, 5627, 1152, 9436, 543, 5135, 666, 581, 6829, 607, 513, 5223, 540, 8799, 2338, 269, 630, 290, 264, 634, 10570, 13999, 540, 782, 540, 519, 2609, 538, 519, 13350, 3349, 723, 6378, 2418, 269, 630, 291, 264, 634, 4939, 676, 2527, 540, 1291, 538, 519, 7623, 267, 1291, 30423, 267, 568, 519, 1482, 585, 782, 6986, 5439, 540, 1291, 30423, 5833, 689, 1022, 2707, 269, 630, 292, 264, 634, 2698, 2527, 540, 6878, 1459, 1310, 513, 3114, 1689, 568, 519, 1482, 607, 519, 2698, 2527, 540, 6878, 1459, 1354, 519, 1689, 269, 476, 272, 476, 276, 269, 6904, 540, 519, 1739, 6898, 827, 681, 9801, 5112, 781, 4603, 568, 7301, 286, 630, 288, 264, 24488, 5536, 941, 1031, 607, 789, 616, 2318, 269, 630, 289, 264, 634, 5536, 941, 17991, 693, 320, 4062, 540, 11956, 23240, 269, 630, 290, 264, 4107, 540, 519, 5536, 5293, 998, 519, 23240, 267, 10834, 602, 1034, 540, 519, 8444, 941, 8900, 2230, 269, 630, 291, 264, 589, 1360, 1906, 5536, 536, 6407, 1394, 267, 10834, 519, 4527, 540, 513, 1507, 267, 7372, 267, 2318, 13540, 269, 630, 292, 264, 2290, 540, 681, 9801, 5112, 781, 20843, 729, 17713, 2983, 9528, 267, 945, 2663, 11827, 519, 2983, 9528, 4831, 585, 16326, 5925, 13808, 269, 476, 277, 269, 6904, 13429, 540, 18243, 2023, 779, 10570, 3069, 1185, 547, 581, 15428, 610, 23987, 1317, 540, 519, 6602, 540, 9211, 286, 630, 288, 264, 634, 10700, 5536, 540, 2339, 616, 519, 8444, 540, 2609, 267, 799, 616, 967, 643, 14548, 543, 967, 652, 1192, 1043, 269, 630, 289, 264, 2353, 519, 8444, 540, 513, 2016, 3693, 616, 7567, 538, 782, 24947, 269, 630, 290, 264, 634, 8444, 540, 1114, 2609, 8428, 538, 835, 610, 811, 3601, 269, 630, 291, 264, 3281, 2432, 616, 4646, 676, 4999, 540, 1114, 5686, 540, 8444, 269, 630, 292, 264, 7183, 540, 891, 476, 278, 269, 7201, 519, 2413, 10570, 3069, 267, 799, 540, 519, 1739, 6898, 568, 3020, 286, 630, 288, 264, 2311, 1682, 2270, 519, 1482, 1297, 540, 22571, 543, 25268, 269, 630, 289, 264, 634, 2527, 540, 606, 11046, 538, 993, 340, 568, 4114, 13846, 607, 519, 1297, 540, 22571, 7132, 519, 1297, 540, 25268, 1459, 538, 519, 13540, 269, 630, 290, 264, 2311, 1682, 666, 581, 8237, 883, 513, 13540, 543, 519, 9211, 267, 855, 2356, 519, 9211, 616, 12758, 538, 519, 13540, 269, 630, 291, 264, 7756, 24745, 540, 606, 3693, 2270, 1114, 2338, 540, 9211, 269, 630, 292, 264, 634, 1614, 3119, 1016, 27408, 5669, 5536, 8428, 1152, 538, 741, 5279, 269, 476, 279, 269, 6904, 3948, 568, 3020, 286, 630, 288, 264, 634, 2609, 949, 581, 17618, 9286, 607, 8407, 267, 1875, 31475, 1023, 543, 15626, 9362, 269, 630, 289, 264, 15689, 538, 513, 4737, 538, 519, 13350, 3349, 723, 2147, 3114, 3601, 269, 630, 290, 264, 769, 519, 13350, 3349, 602, 649, 946, 267, 519, 2609, 616, 11231, 538, 1931, 540, 2810, 10570, 1297, 269, 630, 291, 264, 681, 9801, 5112, 781, 22502, 4603, 9863, 602, 782, 8444, 2270, 9211, 269, 630, 292, 264, 31401, 1210, 519, 6869, 1712, 14105, 570, 4209, 9863, 602, 782, 8444, 2270, 9211, 269, 476, 280, 269, 6904, 540, 519, 1739, 8444, 814, 513, 3090, 711, 3144, 689, 922, 2296, 2012, 286, 630, 288, 264, 4401, 630, 289, 264, 524, 28240, 630, 290, 264, 16903, 630, 291, 264, 19695, 630, 292, 264, 737, 7973, 517, 476, 273, 476, 1015, 269, 6904, 540, 519, 6898, 568, 3020, 286, 630, 288, 264, 3026, 517, 568, 513, 533, 333, 1112, 4094, 630, 289, 264, 25914, 334, 845, 568, 513, 10300, 4094, 630, 290, 264, 918, 7973, 517, 568, 606, 12659, 8932, 4496, 630, 291, 264, 11709, 18123, 568, 513, 5912, 4496, 630, 292, 264, 4469, 889, 828, 568, 513, 10300, 4094, 476, 1556, 269, 6904, 540, 519, 1739, 6898, 568, 11234, 286, 630, 288, 264, 11635, 568, 13811, 850, 630, 289, 264, 17286, 22431, 568, 513, 1875, 2173, 13926, 630, 290, 264, 25289, 29377, 5201, 630, 291, 264, 590, 5285, 584, 568, 544, 4150, 762, 630, 292, 264, 20280, 1756, 568, 21743, 269, 476, 1321, 269, 6904, 540, 519, 1739, 6698, 4564, 606, 11046, 602, 3568, 476, 2190, 22571, 543, 476, 2918, 25268, 286, 630, 288, 264, 476, 2918, 24979, 630, 289, 264, 476, 273, 8722, 630, 290, 264, 476, 2004, 24979, 630, 291, 264, 476, 276, 8722, 630, 292, 264, 476, 2190, 24979, 476, 1724, 269, 15681, 584, 1756, 5161, 540, 476, 274, 1455, 24745, 269, 21009, 540, 2995, 584, 1756, 8444, 723, 513, 2527, 540, 476, 14096, 267, 543, 1776, 476, 271, 269, 3393, 540, 873, 9260, 476, 12553, 269, 1548, 568, 519, 2527, 540, 519, 6967, 24236, 286, 634, 10570, 2527, 540, 2995, 584, 1756, 568, 476, 14096, 269, 277, 269, 630, 288, 264, 476, 10219, 630, 289, 264, 476, 14695, 630, 290, 264, 476, 15782, 630, 291, 264, 476, 9873, 630, 292, 264, 476, 14530, 476, 1691, 269, 16907, 517, 814, 606, 10570, 2527, 540, 476, 1015, 269, 279, 269, 1703, 616, 1079, 24745, 540, 18664, 517, 1107, 835, 3568, 476, 276, 25268, 543, 519, 824, 3568, 476, 277, 25268, 538, 519, 13540, 269, 1548, 568, 519, 27847, 11606, 540, 519, 1101, 835, 630, 1492, 835, 609, 476, 276, 25268, 21663, 630, 288, 264, 476, 271, 269, 273, 610, 476, 272, 270, 276, 630, 289, 264, 476, 271, 269, 1839, 610, 476, 272, 270, 275, 630, 290, 264, 476, 271, 269, 3451, 610, 476, 272, 270, 274, 630, 291, 264, 476, 271, 269, 276, 610, 476, 272, 270, 273, 630, 292, 264, 476, 271, 269, 279, 610, 476, 275, 270, 276, 476, 1428, 269, 6904, 540, 519, 1739, 616, 9090, 24745, 540, 1142, 824, 286, 476, 272, 269, 513, 20841, 11046, 609, 513, 2527, 540, 476, 3374, 476, 273, 269, 513, 20841, 11046, 609, 476, 1240, 25268, 538, 519, 13540, 476, 274, 269, 606, 11046, 609, 476, 1240, 22571, 543, 476, 1240, 9211, 538, 519, 13540, 476, 275, 269, 513, 16247, 11046, 609, 513, 2527, 540, 476, 3607, 630, 288, 264, 476, 272, 543, 476, 273, 630, 289, 264, 476, 273, 543, 476, 274, 630, 290, 264, 476, 274, 543, 476, 275, 630, 291, 264, 782, 540, 873, 616, 24745, 540, 1142, 824, 630, 292, 264, 9039, 540, 873, 616, 24745, 540, 1142, 824, 476, 274, 476, 1626, 269, 6904, 540, 519, 1739, 6898, 568, 11234, 286, 630, 288, 264, 2699, 1769, 814, 513, 10156, 15423, 982, 18342, 630, 289, 264, 22292, 814, 513, 2362, 1648, 982, 642, 14489, 1769, 630, 290, 264, 3039, 1769, 814, 513, 2362, 4908, 982, 4544, 1769, 630, 291, 264, 18325, 12345, 616, 519, 1034, 17615, 1106, 540, 1769, 630, 292, 264, 10237, 578, 2314, 723, 513, 3476, 15423, 982, 14580, 2314, 476, 1704, 269, 589, 1106, 540, 1769, 814, 606, 1648, 540, 476, 277, 269, 4037, 1535, 476, 1015, 268, 2190, 297, 269, 9717, 602, 554, 815, 476, 277, 269, 8287, 1535, 476, 1015, 268, 4097, 297, 338, 543, 524, 815, 476, 274, 269, 876, 1535, 476, 1015, 544, 4882, 267, 1018, 568, 519, 15423, 540, 713, 1769, 286, 630, 288, 264, 476, 275, 269, 5325, 1535, 476, 1015, 268, 6872, 332, 630, 289, 264, 476, 272, 269, 4097, 1535, 476, 1015, 268, 4366, 332, 630, 290, 264, 476, 273, 269, 4817, 1535, 476, 1015, 544, 630, 291, 264, 476, 271, 269, 271, 3066, 276, 544, 630, 292, 264, 476, 272, 269, 6349, 1535, 476, 1015, 544, 476, 1240, 269, 769, 513, 16866, 543, 3732, 4528, 540, 645, 2129, 337, 781, 2203, 267, 606, 6475, 538, 519, 1101, 10739, 814, 606, 1648, 540, 476, 276, 269, 3953, 1535, 476, 1015, 297, 269, 1403, 519, 1648, 540, 606, 910, 1240, 6475, 538, 519, 2034, 10739, 568, 476, 279, 269, 2190, 1535, 476, 1015, 808, 267, 1018, 786, 581, 519, 1648, 540, 835, 1106, 540, 12842, 1769, 286, 630, 288, 264, 476, 272, 269, 32579, 1535, 476, 1015, 268, 1704, 297, 630, 289, 264, 910, 273, 269, 10844, 1535, 476, 1015, 268, 1240, 297, 630, 290, 264, 476, 275, 269, 29575, 1535, 476, 1015, 268, 3374, 297, 910, 1240, 630, 291, 264, 476, 273, 269, 10844, 1535, 476, 1015, 268, 1704, 297, 630, 292, 264, 476, 273, 269, 10844, 1535, 476, 1015, 808, 476, 866, 269, 6904, 4583, 1268, 568, 10691, 7157, 3901, 3481, 609, 1010, 22874, 286, 630, 288, 264, 715, 1408, 338, 645, 2129, 337, 729, 20636, 630, 289, 264, 29527, 681, 9801, 5112, 729, 8241, 630, 290, 264, 3627, 18243, 2023, 729, 3703, 630, 291, 264, 667, 2466, 686, 21780, 324, 2917, 5271, 729, 6739, 630, 292, 264, 17127, 729, 5259, 269, 476, 736, 269, 1548, 568, 519, 5021, 1297, 540, 9211, 602, 666, 581, 5116, 538, 519, 476, 277, 628, 10739, 540, 606, 11046, 286, 630, 288, 264, 476, 277, 630, 289, 264, 476, 1321, 630, 290, 264, 476, 1240, 630, 291, 264, 476, 3607, 630, 292, 264, 476, 7761, 476, 275, 454, 6701, 596, 2386, 596, 1616, 547, 4444, 713, 1570, 585, 454, 2791, 2811, 2907, 4427, 30533, 539, 2336, 16100, 338, 899, 596, 4312, 2907, 20401, 539, 547, 5530, 306, 19281, 267, 596, 4465, 1405, 991, 547, 6718, 1776, 20478, 547, 1205, 713, 1570, 269, 1677, 1569, 713, 1570, 3274, 4945, 1412, 8698, 9509, 11657, 262, 0, 297, 21788, 476, 1001, 267, 3848, 476, 273, 11872, 454, 297, 21788, 476, 1001, 267, 3848, 476, 273, 11872, 808, 21788, 476, 1001, 454, 28082, 538, 14362, 540, 5398, 9534, 454, 28082, 538, 4750, 1143, 454, 1607, 476, 275, 2985, 4147, 11872, 729, 23345, 676, 2196, 333, 1120, 531, 593, 13628, 5181, 476, 272, 267, 476, 1001, 277, 269, 634, 4147, 11872, 12851, 547, 808, 21788, 476, 1001, 693, 2160, 540, 3162, 10491, 6026, 676, 3220, 269, 7935, 5803, 5062, 11390, 1197, 538, 12096, 476, 1001, 277, 269, 4595, 922, 14202, 267, 621, 814, 4607, 476, 1556, 5784, 269, 1280, 2147, 2326, 1294, 14362, 540, 5398, 9534, 538, 4750, 1143, 693, 2160, 540, 3162, 10491, 563, 18800, 338, 585, 808, 21788, 476, 1001, 267, 3848, 476, 273, 11872, 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 ]
[ 568, 1572, 968, 12895, 2359, 2853, 6100, 1452, 616, 17319, 267, 1533, 8386, 15581, 4808, 593, 875, 547, 1921, 1510, 7133, 1216, 2298, 269, 1452, 3652, 616, 4986, 811, 982, 513, 4062, 22596, 1935, 547, 2327, 602, 19883, 2238, 666, 581, 5645, 856, 1510, 954, 8306, 563, 2467, 616, 1100, 6086, 633, 3652, 11341, 547, 19883, 538, 519, 7013, 2136, 2276, 269, 1403, 596, 1378, 2244, 267, 596, 666, 2312, 2759, 1510, 513, 11863, 269, 4634, 593, 1533, 543, 5313, 3338, 267, 621, 568, 2653, 547, 1579, 2117, 583, 547, 5352, 8907, 585, 519, 2244, 3919, 267, 2523, 952, 20582, 676, 4557, 6681, 4104, 3595, 6604, 7440, 563, 5978, 7733, 616, 1863, 585, 782, 454, 763, 2136, 2276, 568, 519, 1158, 779, 4102, 7082, 543, 16073, 540, 3574, 2472, 269, 1452, 3574, 2472, 616, 13939, 5097, 689, 519, 7013, 2136, 2276, 269, 2368, 267, 971, 607, 2679, 2326, 267, 949, 581, 2808, 2556, 269, 11524, 267, 899, 2582, 14025, 11680, 543, 18660, 3574, 26005, 602, 616, 6994, 2213, 607, 968, 13582, 892, 1648, 267, 616, 711, 563, 763, 3162, 814, 1044, 9927, 689, 4190, 5065, 7733, 547, 9343, 543, 9343, 540, 3728, 21212, 12566, 24914, 269, 769, 3345, 10491, 4805, 267, 811, 982, 476, 1220, 267, 1822, 14143, 540, 4104, 616, 29429, 1142, 1032, 267, 519, 6697, 540, 811, 982, 476, 6110, 11176, 4610, 829, 1554, 540, 4104, 9552, 269, 8298, 3101, 568, 519, 1297, 835, 2014, 540, 3327, 5434, 689, 2475, 7733, 267, 2947, 2053, 811, 982, 3327, 5434, 689, 11642, 267, 10980, 543, 5521, 3441, 5916, 563, 310, 5588, 4785, 568, 1271, 267, 855, 649, 991, 547, 798, 811, 454, 19868, 3101, 814, 11999, 5222, 593, 1216, 2298, 267, 543, 519, 2557, 543, 4336, 540, 19883, 538, 519, 2136, 2276, 5932, 606, 11212, 2647, 9165, 540, 519, 1966, 282, 543, 2943, 1360, 2370, 814, 1044, 2944, 547, 2232, 621, 269, 634, 4339, 585, 654, 5588, 4785, 267, 1247, 1271, 267, 4667, 899, 513, 6749, 538, 519, 19943, 563, 2467, 2115, 547, 581, 1455, 2631, 3652, 585, 1216, 2298, 538, 519, 2136, 2276, 269, 898, 5540, 6917, 2950, 538, 519, 3162, 945, 4096, 593, 19401, 543, 23170, 13688, 585, 7622, 1216, 2359, 269, 901, 5540, 519, 2702, 540, 782, 4892, 547, 2972, 519, 2067, 5624, 1472, 873, 563, 27916, 1681, 2596, 654, 5588, 4785, 20038, 568, 513, 1376, 269, 1809, 547, 4625, 11716, 519, 23614, 687, 519, 11162, 4826, 2920, 2488, 585, 19883, 543, 6683, 2443, 1079, 540, 519, 7887, 3542, 5024, 6080, 2443, 568, 3257, 2104, 5481, 513, 4744, 16291, 563, 20245, 3906, 899, 1250, 1378, 267, 519, 13928, 6229, 19137, 267, 723, 5249, 547, 6318, 4656, 543, 1205, 1004, 547, 10505, 1857, 8292, 267, 6443, 17600, 267, 543, 1289, 856, 741, 13222, 269, 9453, 519, 9739, 540, 519, 1977, 1004, 5885, 713, 3350, 267, 519, 4182, 779, 19126, 786, 581, 5828, 883, 18736, 6266, 563, 1607, 2376, 729, 3812, 676, 3047, 1923, 5253, 1923, 5020, 320, 1788, 540, 519, 18763, 9012, 4659, 269, 0, 290, 26501, 15565, 602, 3812, 707, 6891, 540, 5528, 585, 540, 519, 1818, 1007, 12215, 513, 3644, 616, 519, 2038, 5868, 540, 12215, 540, 519, 8374, 563, 1103, 10194, 9325, 3812, 2390, 7662, 9842, 332, 1749, 267, 519, 32343, 1259, 1317, 519, 29414, 1604, 888, 2690, 519, 1560, 729, 1175, 9277, 547, 269, 3013, 563, 29991, 519, 3972, 563, 1103, 513, 13581, 3017, 1063, 31252, 729, 1818, 519, 1007, 12215, 513, 3644, 585, 5528, 540, 616, 596, 547, 5299, 568, 3810, 1808, 1966, 8391, 513, 3644, 12851, 547, 3625, 519, 14238, 2306, 946, 9184, 547, 269, 1656, 9004, 554, 643, 3644, 267, 19057, 540, 12897, 616, 519, 5528, 585, 540, 1818, 1007, 12215, 3644, 513, 3644, 666, 1448, 547, 2445, 12319, 540, 513, 1906, 1296, 2663, 267, 543, 2623, 616, 1166, 19813, 609, 3644, 563, 293, 1197, 1510, 13844, 606, 2144, 7806, 636, 267, 543, 519, 1106, 540, 519, 2063, 513, 30966, 3247, 519, 8047, 3112, 581, 513, 6669, 1568, 593, 519, 14469, 3942, 540, 519, 5528, 1818, 1007, 12215, 3644, 585, 513, 616, 269, 7490, 1294, 873, 585, 1818, 519, 5528, 1007, 12215, 3644, 585, 513, 1808, 5061, 1996, 1079, 3029, 540, 888, 1103, 2497, 1058, 1491, 585, 519, 5528, 1007, 12215, 540, 1818, 513, 3644, 616, 1100, 28417, 267, 7998, 693, 782, 21339, 538, 3346, 609, 26389, 593, 7127, 12227, 540, 12897, 547, 2504, 540, 811, 269, 634, 1591, 13020, 344, 547, 1818, 519, 5528, 585, 1007, 12215, 540, 513, 3644, 616, 3858, 532, 547, 2661, 1268, 3587, 9168, 7576, 657, 1938, 538, 519, 6046, 7127, 13805, 6675, 593, 519, 7576, 665, 2355, 1749, 991, 269, 681, 19063, 960, 540, 1007, 1382, 269, 898, 29084, 538, 519, 1007, 5299, 563, 3891, 18799, 513, 3044, 8047, 2853, 538, 513, 4704, 6698, 540, 12215, 540, 519, 5528, 1818, 1007, 3644, 585, 513, 616, 1004, 269, 12305, 618, 269, 0, 2304, 17692, 6874, 295, 2894, 268, 5085, 10345, 268, 9281, 3948, 5161, 540, 513, 1630, 18978, 4082, 609, 513, 8946, 2894, 6898, 269, 901, 476, 807, 1586, 4553, 676, 606, 20700, 10345, 15048, 269, 16522, 1314, 269, 634, 2596, 16105, 585, 2870, 606, 952, 3948, 538, 590, 3008, 568, 6567, 269, 17692, 630, 935, 1288, 272, 264, 8946, 2894, 1267, 272, 282, 20700, 10345, 17692, 630, 935, 1288, 273, 264, 8946, 2894, 1267, 273, 282, 20700, 10345, 17692, 630, 935, 1288, 274, 264, 8946, 2894, 1267, 274, 282, 269, 590, 3008, 27786, 519, 4082, 538, 606, 17692, 6874, 295, 2894, 3948, 547, 3132, 513, 1267, 602, 568, 2901, 1875, 25179, 267, 4642, 267, 610, 7508, 269, 589, 1875, 25179, 543, 1875, 332, 1170, 532, 1267, 3123, 519, 4082, 547, 581, 3020, 282, 513, 1267, 540, 4642, 610, 7508, 3123, 519, 4082, 547, 581, 7301, 10756, 7078, 476, 275, 281, 10410, 4328, 2789, 2175, 1210, 14069, 3502, 26321, 11346, 269, 1284, 666, 14574, 2789, 2175, 538, 513, 7316, 16083, 547, 23868, 519, 7222, 9343, 689, 606, 3977, 269, 1280, 1383, 11783, 715, 6479, 11298, 6441, 334, 3591, 3807, 899, 606, 17692, 6874, 295, 2894, 268, 5085, 10345, 268, 21715, 17692, 666, 2270, 1776, 17692, 6874, 295, 2894, 268, 5085, 10345, 268, 21715, 17692, 630, 5408, 29005, 17692, 585, 519, 3877, 1070, 513, 11298, 910, 31467, 666, 2270, 824, 11298, 910, 5979, 3591, 538, 922, 1560, 269, 634, 1560, 540, 519, 8659, 11298, 910, 31467, 267, 2356, 5219, 547, 607, 519, 29005, 11298, 910, 31467, 267, 1590, 581, 4625, 3330, 519, 5627, 11298, 910, 31467, 907, 476, 1704, 269, 273, 910, 634, 681, 4953, 288, 2562, 15048, 269, 1879, 590, 3008, 14509, 519, 667, 25353, 3948, 693, 519, 4098, 540, 1142, 21767, 540, 519, 667, 25353, 1900, 267, 590, 3008, 4025, 7508, 2418, 538, 519, 1982, 1239, 6152, 585, 4632, 602, 941, 8655, 676, 2901, 606, 5442, 303, 7473, 3948, 610, 606, 7084, 3948, 1369, 519, 667, 25353, 1900, 269, 589, 681, 4953, 288, 2562, 3948, 3927, 936, 337, 1938, 713, 9949, 10756, 272, 8382, 269, 1403, 713, 7954, 568, 538, 513, 1239, 1305, 267, 1287, 596, 616, 2324, 609, 9587, 269, 1403, 865, 267, 596, 666, 946, 519, 2013, 3948, 538, 513, 2824, 281, 2824, 630, 13826, 950, 674, 6369, 294, 815, 1412, 312, 262, 6730, 8028, 6311, 815, 1412, 1412, 1287, 910, 1976, 318, 600, 339, 3116, 1976, 318, 600, 339, 1439, 264, 607, 1976, 318, 600, 339, 267, 630, 13826, 950, 674, 6369, 294, 815, 1412, 312, 262, 6730, 8028, 6311, 815, 1412, 1412, 1287, 910, 2545, 3116, 2545, 1439, 264, 607, 2545, 267, 630, 13826, 950, 674, 6369, 294, 815, 1412, 312, 262, 6730, 8028, 6311, 815, 1412, 1412, 1287, 910, 1992, 318, 4472, 269, 4455, 476, 2420, 267, 476, 1708, 273, 5788, 13038, 24438, 1403, 3973, 32276, 609, 590, 3008, 5839, 549, 5678, 1411, 666, 849, 3362, 5581, 952, 1287, 6898, 609, 2789, 4632, 609, 522, 8681, 543, 269, 634, 590, 3008, 5839, 549, 5678, 568, 1360, 3532, 267, 543, 609, 19585, 7215, 267, 596, 666, 1374, 3009, 799, 2636, 721, 547, 6023, 7294, 3871, 10756, 272, 269, 17692, 3948, 3112, 581, 1031, 3544, 1239, 1900, 6466, 4939, 9281, 666, 581, 1031, 3544, 543, 3330, 1239, 1900, 855, 1369, 519, 12550, 269, 7151, 476, 272, 2433, 769, 519, 1739, 1982, 267, 649, 616, 10213, 590, 3008, 547, 269, 5272, 7853, 6487, 602, 519, 3044, 645, 27739, 476, 278, 4391, 3085, 21485, 339, 1685, 1134, 593, 2473, 5522, 2033, 476, 1556, 269, 590, 3008, 568, 835, 540, 519, 15713, 2011, 6050, 540, 10060, 19137, 267, 9250, 538, 2904, 476, 1960, 278, 607, 519, 1101, 5963, 2518, 29617, 19710, 269, 3267, 594, 1589, 519, 1990, 756, 334, 1110, 568, 519, 1655, 3364, 602, 5949, 585, 2473, 268, 5522, 2033, 476, 1556, 269, 3973, 1349, 519, 8484, 17835, 543, 1847, 621, 547, 707, 2473, 268, 5522, 2033, 8484, 563, 13356, 1707, 10435, 32276, 538, 590, 3008, 269, 17423, 1818, 538, 590, 3008, 666, 581, 2944, 998, 6898, 267, 1577, 779, 1865, 713, 3948, 609, 519, 948, 540, 606, 1383, 281, 476, 272, 269, 17692, 6874, 295, 2894, 543, 17692, 268, 5085, 10345, 15048, 10756, 306, 3008, 910, 17692, 8946, 2894, 20700, 10345, 17692, 15048, 22339, 1047, 906, 19881, 8525, 8921, 8525, 590, 3008, 14691, 20861, 476, 3374, 700, 624, 999, 476, 273, 269, 276, 3108, 8210, 2381, 667, 14037, 2859, 5489, 841, 1323, 17692, 6874, 295, 2894, 268, 5085, 10345, 268, 9281, 3948, 5161, 540, 513, 1630, 18978, 4082, 609, 513, 8946, 2894, 6898, 269, 901, 476, 807, 1586, 4553, 676, 606, 20700, 10345, 15048, 269, 16522, 1314, 634, 2596, 16105, 585, 2870, 606, 952, 3948, 538, 590, 3008, 568, 6567, 563, 1103, 590, 3008, 267, 1022, 25948, 1871, 824, 982, 476, 271, 610, 7508, 568, 3020, 267, 543, 513, 1871, 540, 476, 271, 610, 7508, 568, 7301, 269, 4475, 267, 513, 25948, 4756, 610, 4082, 666, 1796, 4805, 538, 513, 2783, 269, 1403, 922, 1871, 568, 513, 1297, 824, 982, 476, 271, 610, 7508, 267, 519, 2783, 568, 3020, 282, 952, 922, 1871, 568, 476, 271, 610, 7508, 267, 519, 2783, 568, 7301, 269, 476, 271, 1923, 1547, 815, 8771, 476, 272, 815, 6936, 269, 634, 1403, 268, 10190, 7232, 331, 572, 1505, 602, 6257, 713, 568, 281, 952, 2085, 10922, 476, 1321, 1287, 7141, 815, 1412, 7093, 268, 5938, 523, 262, 3116, 952, 2085, 13843, 1724, 543, 2085, 10922, 476, 866, 1287, 7141, 815, 1412, 5938, 523, 262, 3116, 7141, 815, 1412, 8448, 262, 7046, 519, 590, 3008, 28502, 5861, 299, 19798, 3349, 883, 590, 3008, 27617, 6651, 269, 8564, 4578, 20681, 23742, 614, 543, 2372, 2044, 547, 1930, 519, 2372, 2044, 12706, 518, 269, 3245, 519, 2372, 2044, 12706, 518, 267, 4945, 6156, 539, 2051, 8435, 547, 1711, 513, 1007, 6241, 10756, 2791, 666, 946, 606, 17692, 6874, 295, 2894, 5937, 302, 3948, 538, 590, 3008, 547, 798, 513, 3625, 540, 6898, 952, 930, 2783, 568, 3020, 907, 901, 3948, 3096, 519, 1739, 2596, 16105, 281, 952, 15254, 272, 815, 834, 7407, 257, 1287, 798, 282, 563, 7419, 12195, 308, 294, 5990, 631, 2177, 3951, 3036, 20978, 5990, 21398, 19181, 26008, 594, 723, 1185, 1079, 540, 891, 1292, 15236, 543, 1312, 13789, 538, 4010, 519, 1482, 1259, 609, 2543, 547, 1062, 16304, 11721, 872, 4506, 267, 2530, 540, 7379, 11085, 10342, 269, 4855, 1082, 1390, 1007, 1299, 1031, 3681, 543, 1205, 519, 1655, 9388, 585, 27550, 7999, 12814, 476, 29496, 271, 311, 476, 1321, 4211, 648, 1315, 2190, 307, 476, 274, 269, 476, 279, 294, 13703, 267, 476, 3953, 294, 267, 476, 272, 307, 289, 715, 309, 9288, 267, 476, 272, 308, 669, 817, 529, 267, 2473, 30420, 291, 275, 308, 693, 519, 1655, 2228, 5777, 693, 563, 13295, 267, 4881, 1101, 521, 30186, 630, 1721, 2823, 476, 3199, 264, 543, 1287, 3339, 3123, 519, 3390, 269, 795, 338, 634, 813, 4667, 547, 1376, 543, 4291, 2373, 2394, 621, 13290, 547, 1224, 8915, 269, 795, 338, 281, 7871, 12235, 20093, 282, 9745, 13286, 281, 661, 3722, 290, 2464, 476, 272, 8382, 272, 269, 795, 5459, 610, 5286, 332, 1775, 575, 592, 335, 1070, 543, 519, 1482, 1079, 3606, 3515, 538, 519, 2845, 3758, 269, 9041, 24708, 16524, 630, 12949, 1070, 5569, 2414, 14503, 4711, 630, 4148, 4711, 1070, 7154, 5148, 9745, 18438, 281, 661, 3722, 290, 2464, 267, 10479, 17792, 269, 4924, 476, 1691, 267, 476, 1708, 273, 5788, 1323, 18593, 20700, 10345, 3948, 3947, 606, 4244, 2962, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 4197, 8693, 7827, 543, 922, 8177, 593, 3776, 2622, 281, 589, 8865, 5530, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 2916, 1689, 286, 898, 4016, 547, 519, 1279, 3856, 10593, 538, 5210, 543, 4365, 3270, 3361, 676, 1480, 2238, 971, 607, 8781, 8093, 10173, 899, 5755, 267, 3282, 267, 543, 3154, 269, 1452, 3527, 5305, 8511, 9362, 883, 519, 5790, 267, 29212, 3002, 543, 3056, 547, 2518, 8337, 269, 1717, 267, 519, 2360, 540, 2916, 1689, 979, 3564, 1175, 8375, 5210, 282, 789, 849, 1764, 4365, 3270, 543, 666, 1291, 547, 2067, 12469, 899, 17160, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 875, 713, 4523, 998, 513, 1483, 8996, 1383, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 630, 289, 261, 295, 6393, 4089, 476, 272, 281, 1548, 568, 19732, 2287, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 888, 1103, 2487, 1296, 267, 1004, 2713, 538, 645, 261, 295, 723, 8068, 930, 9490, 1919, 8345, 609, 741, 4365, 269, 1358, 723, 2938, 513, 11931, 4473, 538, 519, 3328, 21496, 2837, 267, 799, 1522, 711, 3100, 899, 513, 2462, 4308, 693, 1101, 269, 1809, 621, 4991, 1256, 649, 597, 1457, 950, 621, 2501, 547, 11811, 1107, 3006, 621, 533, 2293, 1524, 8185, 538, 2110, 28377, 267, 4929, 8755, 17160, 256, 4033, 2053, 267, 972, 616, 12675, 3819, 28542, 1141, 621, 15991, 22856, 693, 782, 269, 901, 24081, 1890, 538, 11811, 3270, 666, 20739, 752, 688, 22106, 593, 2199, 6683, 543, 5989, 780, 4089, 476, 273, 281, 5548, 1324, 1546, 4177, 883, 16661, 18963, 454, 3086, 596, 1522, 4898, 910, 1946, 1281, 713, 4755, 286, 4270, 267, 2059, 609, 519, 2949, 2333, 538, 2837, 267, 3744, 723, 1336, 602, 519, 4806, 540, 11811, 814, 4957, 1932, 269, 5681, 11302, 616, 4742, 5671, 518, 1247, 24475, 616, 3478, 6632, 614, 269, 5047, 267, 7920, 5712, 540, 4764, 616, 9648, 811, 4749, 982, 1354, 267, 1818, 14700, 2621, 811, 2693, 269, 1677, 2285, 596, 606, 2856, 540, 1018, 713, 1797, 267, 4952, 952, 707, 4884, 4607, 1079, 3275, 262, 4502, 540, 4764, 538, 1175, 835, 1554, 256, 2334, 781, 4010, 1018, 5949, 538, 2694, 540, 645, 261, 295, 5063, 780, 4089, 476, 274, 281, 31664, 540, 21744, 16661, 18963, 454, 4322, 4657, 4365, 3270, 10460, 4049, 2591, 585, 519, 1004, 540, 645, 261, 295, 269, 1280, 3236, 267, 7928, 17160, 21279, 5321, 267, 3506, 267, 10506, 267, 9897, 267, 13123, 267, 543, 7031, 267, 8380, 1312, 2729, 543, 3601, 693, 1981, 269, 5015, 267, 891, 5222, 5749, 1405, 3160, 2066, 2486, 269, 23977, 1676, 762, 2516, 267, 1519, 2021, 267, 1453, 267, 11361, 1004, 267, 543, 1346, 2713, 538, 6710, 267, 1419, 7703, 519, 20015, 660, 540, 891, 12469, 1813, 547, 3668, 540, 2200, 543, 1489, 1949, 780, 4089, 476, 275, 281, 14171, 11059, 1996, 8693, 7827, 454, 2414, 10994, 891, 2152, 267, 3906, 5001, 616, 2324, 1927, 547, 1020, 3785, 5466, 519, 2799, 13438, 540, 2950, 547, 2916, 14001, 12469, 269, 2290, 971, 11036, 568, 519, 1412, 9928, 2718, 909, 8693, 22990, 1304, 24627, 11485, 5004, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 8339, 901, 1788, 6663, 547, 1711, 513, 3102, 543, 4464, 6253, 9722, 4640, 547, 4383, 6360, 4220, 1732, 267, 2921, 883, 2272, 519, 2189, 2115, 540, 1114, 1514, 2516, 267, 2523, 2021, 945, 1404, 2629, 5107, 538, 9568, 6051, 269, 1635, 3257, 865, 267, 789, 4126, 547, 1628, 6793, 543, 811, 14388, 7239, 5827, 540, 15268, 547, 938, 6385, 4657, 1158, 780, 6962, 912, 1607, 2013, 1353, 8711, 875, 2916, 1689, 5540, 721, 12725, 543, 11451, 269, 2755, 649, 949, 1745, 1379, 1652, 1996, 1945, 607, 1804, 607, 2518, 8337, 267, 3314, 602, 1169, 2962, 12523, 269, 3245, 9657, 543, 4227, 1648, 4616, 547, 14957, 585, 22928, 4507, 267, 3025, 666, 3565, 547, 8165, 2916, 1689, 269, 2991, 782, 267, 7863, 938, 4541, 6238, 1318, 1934, 267, 1318, 1631, 267, 609, 1142, 835, 540, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13126, 540, 8750, 338, 10088, 1998, 270, 17484, 16017, 618, 454, 307, 1314, 16860, 12910, 5903, 454, 20458, 7827, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 630, 289, 261, 295, 264, 814, 1044, 4767, 538, 519, 6024, 4473, 540, 519, 1611, 5993, 2837, 543, 1713, 12119, 543, 8901, 2242, 538, 13247, 267, 602, 723, 1831, 811, 14733, 936, 519, 2063, 27552, 1296, 269, 1306, 513, 1267, 540, 891, 2242, 267, 1296, 609, 14124, 17160, 723, 1831, 1360, 1455, 269, 634, 12059, 2817, 9442, 630, 307, 10998, 264, 2982, 602, 519, 2837, 568, 4397, 547, 2333, 2417, 2394, 519, 1439, 540, 519, 476, 2641, 560, 2540, 267, 543, 519, 13260, 540, 11811, 12512, 543, 3665, 13247, 786, 2417, 14556, 1518, 896, 15911, 2916, 2175, 563, 763, 6662, 540, 519, 1788, 1412, 9928, 2718, 909, 8693, 22990, 1304, 24627, 11485, 5004, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 262, 568, 547, 2232, 2810, 13438, 540, 645, 261, 295, 2950, 543, 24454, 547, 14556, 1881, 2916, 14001, 6360, 5829, 12469, 269, 634, 1788, 786, 3715, 606, 7471, 543, 5499, 4008, 268, 22529, 633, 2916, 9113, 559, 1304, 6360, 1981, 2359, 1935, 267, 513, 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, 6637, 7170, 281, 4197, 7087, 15328, 17443, 543, 2622, 1613, 998, 519, 744, 329, 756, 933, 570, 11171, 692, 7072, 912, 29378, 11031, 1472, 519, 1158, 723, 741, 2189, 10752, 267, 5389, 267, 543, 2081, 540, 1620, 1272, 543, 519, 7122, 269, 2290, 971, 14316, 568, 519, 744, 329, 756, 933, 1004, 945, 2661, 538, 3345, 3013, 267, 5097, 538, 1018, 649, 1631, 1289, 12309, 267, 16855, 267, 16506, 267, 543, 4516, 269, 901, 3184, 786, 6338, 596, 547, 930, 3344, 540, 519, 744, 329, 756, 933, 14421, 1108, 543, 23381, 269, 2913, 781, 7832, 593, 713, 3460, 1927, 2439, 4089, 476, 272, 281, 1548, 1281, 1412, 290, 657, 17443, 543, 2622, 1613, 262, 1611, 2496, 290, 657, 17443, 4016, 547, 875, 1114, 4529, 1174, 519, 5169, 540, 519, 7122, 267, 1247, 23381, 13315, 4978, 827, 519, 2470, 540, 4641, 267, 1519, 17035, 267, 3347, 609, 1866, 267, 543, 4276, 547, 519, 2244, 269, 5272, 1895, 540, 1004, 12034, 891, 1919, 8335, 267, 865, 621, 781, 1898, 547, 1451, 827, 1142, 824, 781, 5380, 780, 4089, 476, 273, 281, 634, 20520, 9452, 1107, 1323, 880, 2088, 23042, 23548, 534, 27528, 692, 763, 744, 329, 756, 933, 1004, 3494, 602, 1279, 3516, 267, 5722, 3312, 7919, 3357, 883, 6228, 910, 2185, 8204, 519, 2609, 540, 3618, 267, 2011, 267, 1216, 267, 543, 3595, 282, 1079, 3662, 14326, 267, 543, 835, 1480, 6891, 3957, 589, 7288, 1149, 327, 4512, 269, 1452, 7919, 2813, 519, 3047, 267, 1634, 607, 834, 300, 1278, 3047, 2437, 936, 552, 976, 269, 1358, 849, 18705, 2831, 267, 2371, 267, 3425, 267, 543, 18477, 4703, 899, 519, 3141, 543, 7599, 269, 3414, 9423, 267, 789, 5293, 1524, 7326, 543, 4245, 2066, 5481, 780, 12244, 22830, 281, 9523, 707, 1378, 5137, 2984, 1369, 1507, 2516, 269, 9181, 10486, 543, 3604, 1063, 873, 543, 519, 744, 329, 756, 933, 5137, 1650, 780, 4089, 476, 274, 281, 17583, 547, 7186, 543, 9050, 19648, 692, 2690, 1082, 7087, 9082, 267, 1519, 519, 744, 329, 756, 933, 267, 972, 568, 7096, 2463, 585, 12624, 3047, 543, 782, 2713, 7068, 269, 3962, 4287, 6585, 13513, 543, 4644, 269, 1280, 1383, 267, 5101, 4564, 4332, 267, 11354, 267, 543, 2208, 282, 3162, 6763, 585, 6107, 267, 14400, 267, 543, 1565, 282, 4639, 24151, 15296, 267, 4201, 4379, 267, 8086, 267, 543, 1689, 282, 6368, 267, 3345, 19752, 26744, 3125, 267, 15604, 267, 543, 7326, 269, 1635, 26621, 543, 14344, 891, 8846, 267, 2043, 1921, 2933, 1394, 547, 2470, 543, 922, 9979, 780, 8893, 22362, 281, 8073, 513, 2241, 22315, 1210, 29039, 2798, 269, 8571, 6698, 610, 5961, 18995, 12119, 2242, 267, 4606, 267, 610, 7907, 2404, 609, 1142, 4287, 780, 4089, 476, 275, 281, 20154, 27801, 338, 543, 24583, 3000, 625, 692, 25565, 744, 329, 756, 933, 5289, 2853, 1419, 4125, 8220, 609, 519, 29763, 543, 11937, 998, 18428, 267, 12738, 267, 8964, 267, 543, 7544, 269, 2368, 4295, 2418, 616, 21548, 267, 2648, 267, 19969, 267, 22838, 267, 2463, 267, 543, 7326, 9789, 18599, 9835, 15289, 17546, 902, 269, 1520, 11447, 547, 891, 3741, 11942, 10103, 1851, 2146, 2818, 543, 5849, 3666, 609, 519, 2067, 1604, 780, 12218, 3336, 11314, 281, 19147, 883, 2516, 267, 16540, 3871, 1141, 7311, 1142, 3450, 666, 1291, 547, 2318, 4093, 269, 3973, 2671, 4681, 609, 519, 1362, 780, 6962, 912, 18698, 1585, 2686, 3661, 1949, 2337, 721, 5660, 938, 3309, 8103, 269, 4804, 827, 519, 744, 329, 756, 933, 14421, 1108, 543, 23381, 3091, 4030, 883, 1776, 1259, 540, 7487, 543, 7680, 519, 7122, 269, 1306, 596, 3136, 3395, 267, 3314, 602, 1620, 543, 6568, 1628, 13123, 1063, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 27852, 24010, 781, 667, 5922, 676, 4911, 5202, 645, 9567, 2917, 454, 305, 908, 281, 476, 276, 6801, 454, 7049, 516, 281, 8479, 16989, 28202, 14525, 454, 11847, 19948, 281, 7087, 630, 302, 329, 756, 933, 1070, 24908, 268, 15869, 267, 14447, 630, 2381, 2711, 1070, 4563, 7087, 630, 2381, 2711, 994, 32098, 2782, 11789, 281, 20222, 1996, 7111, 2021, 267, 3075, 14025, 270, 10177, 16751, 267, 10168, 454, 257, 292, 697, 8696, 4458, 6040, 20707, 684, 529, 674, 517, 1555, 324, 814, 2760, 3833, 3514, 538, 267, 1312, 538, 1200, 554, 32528, 543, 593, 519, 7404, 744, 329, 756, 933, 30063, 269, 2701, 9909, 540, 513, 4195, 1376, 693, 2852, 267, 855, 950, 1920, 13357, 16716, 267, 20707, 684, 529, 12662, 1200, 2104, 593, 3180, 547, 1413, 1310, 1200, 17866, 3993, 269, 634, 1152, 6505, 5544, 568, 5870, 16092, 267, 519, 23406, 1007, 15313, 593, 1200, 7015, 2274, 12858, 779, 19735, 2319, 563, 21953, 1256, 607, 20707, 684, 529, 8813, 585, 16092, 267, 1352, 12823, 519, 546, 4770, 19735, 5182, 568, 15720, 1945, 269, 18421, 2501, 547, 1769, 950, 20707, 684, 529, 22168, 513, 26648, 12638, 267, 19876, 532, 1200, 883, 606, 31440, 7634, 540, 513, 24037, 1007, 3075, 563, 9824, 10631, 14688, 267, 20707, 684, 529, 23216, 547, 979, 896, 16225, 267, 5373, 593, 1200, 1702, 540, 7998, 543, 744, 329, 756, 933, 2757, 4915, 547, 3950, 1524, 519, 2707, 269, 1809, 519, 3406, 585, 5168, 568, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 15215, 1315, 7087, 1315, 17546, 902, 1299, 26492, 1315, 15328, 17443, 543, 2622, 1613, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 9214, 323, 1043, 2622, 540, 674, 2426, 328, 692, 15916, 972, 256, 5620, 596, 2479, 4862, 827, 13271, 1354, 286, 3143, 267, 649, 2811, 711, 6158, 827, 16168, 24668, 610, 8188, 596, 1522, 7485, 256, 1284, 2811, 7234, 513, 1895, 540, 4241, 2713, 7103, 602, 2882, 1919, 899, 9044, 267, 9493, 6814, 267, 543, 32503, 31665, 621, 1765, 332, 2313, 7741, 256, 4014, 789, 949, 3100, 2241, 693, 1101, 16145, 267, 1577, 803, 2995, 596, 1946, 891, 6909, 7068, 616, 865, 1271, 543, 5963, 5863, 780, 5575, 1055, 267, 1705, 596, 917, 602, 13271, 4866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 938, 4190, 267, 5065, 5144, 933, 2644, 547, 707, 4677, 563, 300, 20488, 15634, 476, 275, 3933, 1105, 338, 0, 295, 21186, 331, 24874, 25245, 9218, 910, 554, 21186, 331, 454, 30547, 540, 6196, 25245, 2262, 834, 327, 21186, 331, 257, 538, 2296, 563, 2026, 3989, 676, 519, 7581, 553, 2421, 1299, 966, 580, 325, 1380, 517, 6196, 25245, 547, 2296, 8675, 912, 327, 21186, 331, 6196, 25245, 2262, 666, 1611, 912, 268, 562, 1421, 1152, 1093, 25612, 339, 269, 513, 2244, 267, 2197, 267, 22858, 269, 1093, 25612, 339, 563, 268, 19766, 9169, 281, 554, 21186, 331, 1598, 6403, 32244, 663, 328, 267, 554, 21186, 331, 383, 378, 341, 1263, 337, 563, 303, 6372, 2196, 545, 30115, 538, 8479, 518, 674, 3578, 1046, 281, 413, 504, 376, 413, 505, 479, 413, 505, 483, 413, 504, 365, 413, 505, 504, 454, 21930, 518, 674, 3578, 1046, 2196, 525, 941, 1031, 689, 476, 279, 628, 547, 476, 1321, 628, 5553, 538, 22778, 807, 543, 741, 18246, 17260, 454, 414, 508, 508, 6423, 782, 1568, 11855, 538, 519, 8675, 454, 17582, 1299, 22439, 11855, 912, 268, 22858, 269, 7313, 25612, 339, 563, 268, 22858, 6625, 7313, 25612, 6776, 636, 676, 590, 557, 514, 321, 329, 23152, 333, 661, 326, 559, 26856, 267, 476, 5908, 271, 269, 0, 309, 5451, 335, 3534, 3613, 320, 32244, 337, 24874, 25245, 9218, 910, 642, 5451, 335, 3534, 3613, 320, 32244, 337, 454, 30547, 540, 6196, 25245, 2262, 834, 341, 5451, 335, 3534, 3613, 320, 32244, 337, 257, 538, 2296, 563, 2026, 3989, 676, 519, 7581, 553, 2421, 1299, 966, 580, 325, 1380, 517, 6196, 25245, 547, 2296, 8675, 912, 268, 544, 269, 513, 2048, 933, 777, 517, 1606, 13607, 16224, 11953, 1747, 630, 3602, 835, 949, 581, 20754, 5148, 521, 329, 5451, 10874, 534, 642, 269, 3331, 350, 552, 2173, 267, 715, 329, 269, 476, 280, 281, 14049, 2173, 10225, 267, 16398, 267, 2144, 3331, 378, 324, 597, 688, 17304, 521, 26408, 521, 5451, 337, 21453, 642, 5451, 335, 333, 770, 320, 32244, 328, 267, 715, 269, 717, 269, 700, 269, 1775, 269, 476, 27420, 563, 303, 6372, 2196, 545, 30115, 538, 8479, 518, 674, 3578, 1046, 281, 413, 504, 351, 413, 505, 483, 413, 505, 496, 413, 504, 378, 413, 505, 483, 268, 413, 505, 489, 413, 505, 493, 413, 505, 483, 413, 504, 355, 413, 504, 365, 454, 21930, 518, 674, 3578, 1046, 2196, 525, 941, 1031, 689, 476, 279, 628, 547, 476, 1321, 628, 5553, 538, 22778, 807, 543, 741, 18246, 17260, 454, 414, 508, 508, 6423, 782, 1568, 11855, 538, 519, 8675, 454, 17582, 1299, 22439, 11855, 912, 268, 715, 269, 717, 269, 700, 563, 268, 7439, 2471, 31133, 548, 11146, 269, 630, 289, 269, 4083, 8094, 268, 715, 329, 5451, 5055, 269, 630, 291, 269, 4083, 4700, 0, 763, 590, 22222, 22575, 729, 8118, 585, 12445, 593, 1693, 13090, 888, 288, 269, 8734, 476, 1704, 267, 476, 5908, 280, 454, 289, 269, 4239, 476, 1321, 267, 476, 9965, 277, 454, 290, 269, 3967, 476, 4905, 267, 476, 6977, 278, 454, 291, 269, 7183, 540, 891, 454, 306, 22222, 22575, 729, 8118, 585, 12445, 454, 763, 590, 22222, 22575, 649, 917, 729, 8118, 585, 12445, 593, 8734, 476, 1704, 267, 476, 5908, 280, 267, 543, 1247, 621, 729, 9930, 3373, 11262, 676, 519, 12266, 2229, 267, 621, 729, 2965, 13234, 543, 6417, 676, 513, 2754, 13856, 676, 3703, 543, 3943, 23265, 269, 2334, 16768, 2394, 31133, 531, 19869, 592, 715, 817, 518, 3357, 1472, 543, 3084, 2213, 519, 12324, 267, 3056, 547, 519, 590, 22222, 6433, 543, 5337, 1746, 606, 2907, 1159, 746, 1359, 12019, 2782, 563, 14483, 16457, 14330, 17988, 676, 22898, 10157, 17988, 454, 10157, 17988, 540, 7351, 16457, 476, 1708, 272, 1299, 476, 1708, 273, 454, 2080, 267, 596, 666, 3343, 7351, 16457, 476, 1708, 272, 1299, 476, 1708, 273, 14330, 17988, 540, 9031, 7351, 2152, 476, 1708, 272, 1299, 1032, 476, 1708, 273, 269, 9031, 7351, 16457, 3732, 1449, 543, 26821, 2055, 585, 2816, 4530, 269, 7351, 16457, 540, 9031, 267, 1101, 538, 9031, 267, 12830, 2152, 267, 1699, 979, 26404, 3092, 269, 3371, 596, 786, 1265, 8242, 7351, 12602, 540, 9031, 5062, 336, 338, 563, 10157, 17988, 540, 9031, 781, 23582, 16457, 602, 568, 11572, 267, 9483, 267, 4317, 12983, 269, 1656, 14330, 17988, 540, 9031, 781, 24498, 16457, 602, 568, 9031, 779, 1894, 609, 922, 27199, 26092, 630, 19328, 267, 3624, 267, 15787, 267, 6576, 1040, 9031, 779, 1894, 609, 519, 7332, 2622, 630, 296, 3757, 267, 18142, 17936, 267, 12868, 267, 11894, 264, 14330, 17988, 269, 14330, 17988, 827, 9031, 779, 1894, 609, 519, 2136, 2276, 543, 609, 13636, 543, 4139, 20871, 630, 7419, 267, 14408, 2752, 290, 267, 661, 4596, 267, 744, 2975, 267, 654, 15674, 267, 595, 310, 264, 786, 581, 3838, 563, 13010, 267, 972, 616, 6266, 540, 6820, 12983, 13038, 14893, 5999, 269, 1411, 666, 849, 4427, 2466, 14330, 304, 540, 7351, 16457, 269, 1403, 596, 616, 8348, 547, 1491, 7351, 16457, 6732, 13658, 267, 8437, 28313, 454, 12812, 3371, 585, 6732, 14330, 17988, 13658, 3767, 454, 8802, 3563, 952, 596, 1810, 1405, 723, 606, 10055, 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 ]
[ 952, 891, 1913, 3280, 1007, 282, 594, 3513, 2491, 3388, 269, 932, 528, 714, 334, 568, 513, 1826, 540, 30725, 720, 1419, 1336, 538, 5053, 11951, 269, 1879, 11273, 267, 621, 13847, 6266, 540, 17705, 11041, 602, 948, 8137, 938, 8670, 269, 12275, 997, 8591, 513, 8799, 14736, 267, 1247, 533, 3863, 985, 616, 513, 2186, 540, 16872, 602, 16919, 2147, 547, 20544, 269, 8625, 267, 789, 1711, 513, 17175, 4999, 540, 10366, 780, 2414, 1376, 267, 10544, 513, 1804, 31068, 3443, 543, 1747, 621, 936, 5420, 30041, 3002, 269, 12338, 519, 32711, 714, 334, 883, 21100, 543, 19184, 873, 883, 519, 3443, 269, 1306, 789, 3434, 267, 519, 32711, 714, 334, 786, 5305, 922, 3282, 267, 4758, 519, 3443, 513, 4190, 2699, 2681, 269, 853, 597, 12212, 543, 3434, 2394, 519, 32711, 714, 334, 3587, 1769, 6960, 269, 901, 1058, 1491, 827, 476, 274, 3764, 780, 9202, 909, 267, 649, 3513, 1039, 930, 19787, 547, 519, 3575, 269, 6215, 823, 513, 11350, 14723, 630, 10193, 1634, 607, 513, 11503, 32337, 264, 543, 10300, 557, 930, 1507, 14274, 1572, 18812, 14274, 269, 774, 992, 873, 883, 519, 3443, 2059, 609, 513, 32521, 540, 22872, 31625, 585, 513, 3787, 540, 24996, 269, 13648, 713, 7848, 585, 1776, 476, 276, 3764, 610, 865, 267, 3850, 519, 5388, 547, 21352, 5594, 269, 4495, 2944, 267, 4483, 3388, 547, 513, 12826, 543, 3382, 621, 609, 11956, 23240, 547, 1832, 621, 3636, 780, 3719, 7227, 267, 1141, 1705, 938, 1292, 3940, 2959, 979, 286, 3143, 19048, 256, 1284, 1869, 991, 547, 3434, 519, 533, 3863, 985, 543, 1039, 930, 1990, 652, 689, 513, 11993, 269, 1924, 267, 2322, 519, 533, 3863, 985, 543, 11993, 678, 785, 1394, 883, 519, 1482, 3443, 1031, 4505, 269, 13648, 873, 1927, 585, 5111, 476, 274, 3764, 610, 2394, 519, 533, 3863, 985, 1376, 547, 2490, 11909, 269, 5457, 267, 5329, 606, 3750, 593, 741, 2681, 2337, 721, 917, 950, 789, 2811, 11273, 1175, 1318, 780, 7661, 267, 9192, 519, 11273, 2484, 325, 4150, 267, 32711, 714, 334, 268, 557, 1326, 762, 7848, 267, 543, 533, 3863, 985, 538, 513, 2462, 7674, 12826, 269, 17186, 3388, 9900, 865, 596, 1810, 1405, 2736, 519, 10347, 533, 3863, 985, 269, 1656, 972, 596, 723, 621, 910, 513, 27598, 32711, 714, 334, 543, 13342, 9299, 1233, 2484, 325, 4150, 19997, 16802, 532, 609, 4778, 543, 10366, 780, 8855, 267, 950, 3843, 856, 1007, 10346, 267, 2141, 2638, 519, 12146, 8638, 547, 2327, 789, 3514, 1369, 707, 8192, 2115, 269, 31173, 513, 11967, 2937, 610, 3782, 3318, 568, 1898, 1932, 267, 2523, 952, 596, 1544, 593, 22212, 707, 6980, 5781, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4415, 1402, 338, 540, 18812, 14274, 543, 513, 20726, 540, 28306, 328, 267, 938, 27598, 32711, 714, 334, 543, 13342, 9299, 1233, 6367, 17063, 18437, 568, 4998, 585, 1312, 3018, 9519, 7188, 2996, 543, 13680, 18226, 563, 13425, 12146, 10297, 547, 1118, 2386, 789, 2743, 707, 1808, 8192, 4170, 543, 2141, 5077, 513, 1072, 3318, 1354, 4657, 707, 2732, 269, 7348, 8192, 1344, 1934, 563, 8110, 1417, 720, 11545, 2271, 820, 1344, 593, 938, 10346, 568, 7229, 1210, 519, 6484, 4704, 2418, 585, 606, 3328, 8241, 2937, 563, 290, 809, 519, 18437, 538, 513, 1804, 14036, 3966, 540, 14495, 1216, 1739, 17142, 8846, 610, 2394, 620, 7202, 324, 269, 667, 1778, 1134, 563, 19602, 267, 3002, 513, 1804, 31068, 3443, 936, 5420, 30041, 3002, 269, 5410, 519, 32711, 714, 334, 543, 3434, 267, 28817, 12212, 267, 585, 476, 274, 25008, 610, 2394, 21066, 536, 27547, 269, 5410, 519, 11503, 32337, 267, 28306, 328, 543, 16603, 269, 13648, 267, 28817, 267, 585, 476, 276, 25008, 610, 2394, 11503, 32337, 543, 16603, 21352, 269, 18734, 547, 513, 3002, 16513, 12826, 543, 3382, 609, 23240, 547, 1832, 3636, 563, 11754, 519, 533, 3863, 985, 543, 11993, 678, 785, 547, 519, 3443, 543, 3434, 267, 28817, 585, 476, 274, 25008, 610, 2394, 533, 3863, 985, 2253, 547, 1689, 7990, 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, 293, 541, 325, 4150, 6428, 611, 31204, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 12815, 320, 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, 29016, 4149, 1399, 548, 623, 1512, 690, 625, 910, 589, 570, 4292, 540, 4591, 1465, 11873, 3778, 538, 519, 5664, 9533, 2276, 692, 7072, 1384, 2026, 649, 5490, 883, 519, 3638, 1686, 540, 519, 5664, 9533, 3148, 540, 519, 2136, 2276, 267, 811, 4481, 12425, 267, 938, 1445, 10593, 2509, 519, 2749, 540, 29016, 543, 922, 11477, 7418, 269, 7324, 1585, 11599, 8286, 602, 723, 12090, 689, 713, 1858, 267, 22815, 690, 625, 3180, 513, 2027, 1747, 269, 901, 3992, 786, 2263, 519, 3140, 2796, 540, 22815, 690, 625, 1369, 519, 6626, 9165, 540, 6237, 11951, 1247, 849, 6313, 875, 789, 4196, 607, 513, 14165, 673, 6041, 540, 9322, 9624, 4763, 1107, 1454, 899, 519, 2868, 1465, 5322, 5941, 538, 707, 3105, 4245, 780, 4089, 594, 281, 4197, 623, 1512, 690, 625, 692, 303, 1512, 690, 625, 616, 10859, 2275, 1844, 983, 546, 636, 31958, 1500, 540, 25793, 822, 2989, 14859, 267, 3335, 4904, 609, 11792, 1117, 12277, 267, 10381, 267, 10487, 17064, 571, 583, 267, 22648, 267, 2666, 5779, 267, 610, 1022, 4999, 23476, 269, 1358, 666, 581, 23017, 267, 19323, 267, 1989, 2683, 267, 610, 1094, 583, 2946, 539, 543, 6039, 1159, 6139, 1042, 538, 7423, 267, 1286, 14712, 1242, 19637, 267, 11877, 8645, 267, 610, 1256, 11337, 577, 1575, 256, 2755, 741, 3169, 8129, 2611, 7334, 267, 1034, 1426, 12206, 3858, 602, 22815, 690, 625, 10250, 1394, 547, 6239, 543, 8109, 3864, 2477, 971, 607, 12996, 267, 30355, 25474, 267, 543, 12907, 269, 9717, 519, 1713, 11776, 6329, 1282, 519, 3735, 476, 866, 628, 2540, 267, 621, 2501, 607, 1100, 9983, 602, 1082, 11082, 4547, 2059, 10346, 543, 5986, 2553, 799, 5555, 8032, 1018, 649, 1631, 917, 607, 1412, 303, 527, 1206, 15734, 16654, 262, 22815, 690, 625, 780, 4089, 4083, 281, 623, 1512, 690, 625, 1306, 1133, 13294, 769, 16844, 692, 9617, 607, 1912, 710, 553, 674, 269, 6601, 5408, 267, 595, 11065, 269, 808, 1716, 10247, 267, 543, 595, 15030, 269, 25288, 8179, 547, 796, 1518, 19635, 2516, 896, 519, 22597, 540, 519, 2868, 1465, 3350, 267, 22815, 690, 625, 1932, 957, 607, 6698, 540, 9322, 1851, 3309, 2950, 269, 14301, 6667, 689, 1114, 2686, 10080, 267, 26352, 7921, 1667, 7550, 543, 9862, 2757, 23577, 545, 10346, 267, 6220, 2199, 5820, 543, 2409, 2394, 789, 2813, 1945, 19918, 741, 1378, 269, 901, 1184, 9356, 519, 13784, 7915, 538, 1312, 3909, 543, 8819, 1258, 5669, 12760, 269, 5015, 267, 4207, 23200, 1419, 4183, 1875, 13652, 6463, 30836, 630, 3697, 30159, 9269, 610, 16741, 1070, 11744, 875, 2413, 22730, 3136, 547, 5368, 614, 13133, 5929, 10346, 1759, 593, 2123, 7375, 543, 6848, 7506, 780, 4089, 8633, 281, 3465, 6326, 28673, 3414, 7073, 1436, 692, 17457, 6377, 13039, 3136, 547, 8190, 2609, 540, 519, 3312, 2868, 1465, 3350, 10752, 1247, 15268, 873, 547, 13469, 609, 18960, 5481, 269, 6684, 267, 29016, 16654, 22815, 690, 625, 2226, 13218, 547, 741, 6196, 2622, 5072, 5103, 9687, 7258, 4657, 16919, 543, 8192, 4170, 269, 12098, 534, 22815, 690, 625, 267, 15347, 6954, 3681, 267, 543, 575, 712, 5471, 23538, 12013, 1518, 875, 2245, 3788, 4143, 950, 1930, 547, 5647, 269, 5047, 267, 5993, 2621, 899, 834, 303, 527, 1206, 15734, 623, 1512, 690, 328, 16635, 257, 8661, 713, 8670, 781, 4644, 1369, 519, 2146, 267, 5807, 7071, 585, 6561, 543, 8716, 3444, 14426, 5188, 780, 6962, 1384, 2750, 600, 1456, 29016, 16654, 22815, 690, 625, 2636, 721, 547, 5660, 519, 1379, 540, 9322, 538, 4763, 543, 15364, 538, 1689, 269, 3807, 607, 519, 2868, 1465, 5322, 6322, 547, 3142, 1927, 18312, 4978, 896, 3838, 3741, 267, 865, 1281, 1426, 8115, 10616, 1063, 4529, 267, 2870, 5624, 585, 8994, 2463, 543, 1620, 269, 4475, 267, 4974, 6237, 32345, 3091, 3407, 4030, 883, 3677, 8739, 3620, 626, 5566, 3157, 5935, 7239, 2066, 942, 543, 2230, 269, 2991, 782, 267, 3006, 519, 27811, 18408, 827, 8103, 616, 1336, 711, 1152, 538, 2835, 855, 849, 593, 10824, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10521, 3844, 4798, 22113, 519, 9294, 732, 928, 9452, 454, 7419, 14510, 5442, 670, 5357, 17322, 454, 763, 5289, 5075, 540, 2038, 9294, 732, 5886, 729, 6508, 689, 519, 11705, 337, 1400, 4295, 540, 3627, 24380, 2917, 781, 840, 2286, 269, 1452, 14751, 725, 1331, 24134, 676, 11419, 998, 5132, 267, 18813, 2305, 11338, 676, 11419, 998, 5132, 267, 3003, 18813, 2305, 607, 606, 18472, 2139, 547, 1169, 4168, 267, 543, 519, 7198, 540, 519, 13336, 547, 2696, 781, 960, 538, 1480, 2729, 269, 634, 2868, 1465, 3350, 21256, 538, 519, 476, 8146, 271, 338, 547, 3895, 891, 29625, 267, 2523, 3003, 18813, 2305, 269, 1635, 476, 5002, 271, 267, 2705, 267, 519, 3350, 1185, 10943, 842, 1229, 563, 303, 269, 674, 269, 6601, 5408, 267, 595, 269, 645, 269, 808, 1716, 10247, 267, 595, 269, 654, 269, 25288, 267, 543, 824, 8149, 3401, 588, 17311, 547, 26595, 2868, 1465, 1249, 687, 269, 634, 1101, 543, 2034, 2489, 32234, 941, 899, 1079, 1433, 1742, 912, 1103, 5239, 476, 5002, 278, 267, 519, 5948, 540, 19999, 1815, 739, 531, 932, 11699, 540, 3013, 543, 519, 5783, 540, 519, 9294, 732, 928, 24673, 538, 9628, 267, 13325, 267, 693, 519, 3689, 4937, 13909, 563, 1103, 4989, 476, 5002, 279, 267, 513, 30798, 6896, 538, 6755, 1408, 267, 7147, 267, 16668, 883, 519, 9294, 732, 928, 3350, 519, 1883, 10492, 522, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 5664, 9533, 2276, 1315, 29016, 4149, 1399, 548, 623, 1512, 690, 625, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 7706, 540, 1762, 2937, 15923, 12092, 267, 4481, 3695, 15854, 1356, 22808, 1369, 519, 7900, 6575, 269, 1284, 786, 4983, 875, 891, 6386, 666, 7903, 519, 6302, 540, 2757, 1272, 1603, 998, 8097, 3029, 543, 4485, 267, 6273, 676, 519, 14759, 538, 4207, 3860, 15923, 269, 1677, 2253, 267, 1577, 781, 2015, 1946, 15854, 1356, 22808, 13469, 865, 7184, 609, 1762, 4079, 543, 4196, 607, 15417, 2666, 585, 5339, 5647, 780, 1262, 763, 2561, 7002, 540, 8355, 1356, 4437, 13132, 585, 8479, 16989, 22419, 4373, 291, 766, 7380, 919, 9458, 1813, 547, 922, 2189, 11100, 540, 7619, 6291, 267, 26274, 267, 543, 3929, 4082, 269, 6684, 267, 15854, 1356, 22808, 2709, 1762, 2937, 3988, 2502, 2984, 827, 16177, 267, 1582, 22523, 267, 543, 5876, 269, 1452, 6386, 1419, 2263, 4798, 4143, 547, 15730, 1646, 267, 1519, 3961, 5250, 267, 6612, 13287, 267, 543, 2123, 2208, 269, 1635, 6313, 519, 2729, 540, 3811, 25249, 267, 1762, 3988, 2744, 4030, 883, 6043, 543, 11428, 1247, 849, 1565, 827, 1114, 7544, 11964, 543, 6163, 780, 11101, 267, 15854, 1356, 22808, 1683, 15792, 3255, 585, 4589, 547, 4603, 609, 1106, 543, 2497, 267, 10452, 6626, 10593, 538, 519, 2361, 540, 3860, 15923, 269, 901, 19427, 540, 7499, 5647, 543, 11541, 1641, 2339, 2306, 15854, 1356, 22808, 3226, 13267, 547, 1762, 2937, 3988, 5275, 6209, 4296, 1063, 3332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 2729, 269, 3973, 972, 568, 519, 25094, 10152, 3069, 267, 799, 666, 581, 23987, 3533, 607, 9039, 540, 2470, 779, 1283, 11975, 14311, 25094, 3188, 563, 4415, 891, 6436, 6028, 803, 5667, 15384, 30829, 267, 594, 3459, 547, 4898, 952, 972, 729, 606, 796, 4621, 30872, 3069, 547, 2491, 570, 10455, 2335, 28683, 685, 10122, 2409, 269, 3973, 621, 13351, 803, 281, 1018, 952, 570, 10455, 2335, 28683, 729, 27248, 286, 1306, 594, 786, 7291, 538, 713, 2376, 267, 513, 27248, 6197, 666, 581, 18505, 1042, 676, 513, 3099, 540, 7592, 1459, 593, 1312, 570, 10455, 2335, 28683, 543, 824, 2831, 267, 1312, 538, 519, 1459, 543, 519, 2250, 269, 769, 1249, 267, 519, 2702, 547, 1294, 538, 519, 4158, 949, 723, 4847, 585, 570, 10455, 2335, 28683, 547, 856, 4818, 23176, 824, 1804, 11975, 540, 519, 12379, 32223, 267, 3976, 3850, 621, 547, 1831, 519, 1034, 25337, 543, 32049, 2392, 2218, 21300, 540, 782, 942, 563, 2750, 3031, 527, 1948, 272, 281, 1548, 8262, 28438, 1411, 5620, 2336, 2005, 568, 3833, 2009, 602, 570, 10455, 2335, 28683, 1185, 519, 1034, 4359, 2631, 540, 5075, 10838, 18714, 2831, 263, 273, 1040, 634, 4064, 540, 570, 10455, 2335, 28683, 3068, 585, 2072, 267, 3850, 873, 547, 13498, 3615, 1210, 10822, 22811, 5075, 269, 23642, 22811, 5075, 1797, 602, 570, 10455, 2335, 28683, 1223, 1294, 538, 1614, 7516, 543, 13498, 3178, 593, 606, 4359, 1377, 267, 3850, 621, 547, 9794, 519, 5730, 3845, 543, 20517, 540, 10352, 609, 16854, 4398, 269, 11628, 10822, 22811, 5075, 568, 513, 20013, 540, 2392, 2218, 5017, 899, 17761, 802, 543, 31450, 267, 799, 666, 5544, 741, 10352, 689, 513, 16854, 3845, 543, 3950, 922, 5322, 1247, 9363, 538, 5163, 269, 11109, 10822, 22811, 5075, 13745, 7258, 1804, 4064, 630, 331, 24147, 4064, 1797, 1732, 32416, 264, 1131, 723, 1500, 519, 5075, 540, 570, 10455, 2335, 28683, 30664, 764, 2406, 5730, 269, 1924, 5730, 602, 621, 949, 723, 1044, 936, 476, 1724, 343, 1732, 982, 23600, 267, 1818, 1022, 4126, 540, 9319, 32456, 676, 7555, 1869, 7543, 630, 273, 1916, 12441, 4359, 5075, 1450, 570, 10455, 2335, 28683, 547, 1294, 538, 519, 4158, 286, 31598, 269, 1635, 9236, 519, 4064, 540, 570, 10455, 2335, 28683, 547, 2673, 14077, 899, 26723, 878, 1127, 543, 32613, 2209, 267, 3173, 723, 7000, 602, 570, 10455, 2335, 28683, 1223, 1294, 538, 519, 4158, 609, 2799, 8856, 630, 273, 1040, 901, 3781, 8686, 1707, 1131, 723, 1044, 28330, 547, 602, 540, 606, 22559, 267, 3850, 570, 10455, 2335, 28683, 547, 5544, 543, 3950, 519, 3350, 540, 1761, 10352, 5103, 1970, 5666, 540, 1769, 630, 273, 1040, 634, 2702, 547, 5544, 543, 3950, 10352, 538, 519, 4158, 3947, 713, 3069, 8101, 2597, 543, 10741, 519, 7872, 540, 570, 10455, 2335, 14795, 1373, 27248, 563, 2750, 3031, 527, 1948, 273, 281, 589, 2776, 18856, 10552, 327, 895, 563, 1103, 1840, 547, 606, 5140, 2631, 540, 5075, 267, 570, 10455, 2335, 28683, 849, 1185, 513, 9735, 2631, 540, 9329, 269, 634, 10153, 16371, 15620, 630, 15251, 540, 519, 2634, 6131, 547, 20416, 264, 540, 570, 10455, 2335, 28683, 941, 3810, 2919, 543, 941, 519, 4102, 8167, 622, 547, 1560, 2450, 10838, 782, 17878, 630, 272, 1040, 589, 15398, 2631, 540, 9329, 1131, 723, 19443, 570, 10455, 2335, 28683, 538, 29466, 1761, 10352, 689, 1279, 9883, 267, 1818, 1312, 10122, 543, 25094, 27701, 2484, 4443, 269, 11109, 513, 2178, 2631, 540, 9329, 1131, 581, 3226, 6225, 693, 3781, 267, 1141, 23243, 519, 4087, 540, 1761, 10352, 543, 6937, 1131, 1831, 2484, 4443, 269, 634, 4999, 540, 9058, 5075, 543, 9329, 4847, 585, 570, 10455, 2335, 28683, 547, 3950, 922, 10352, 693, 3781, 609, 8897, 538, 19220, 540, 519, 14334, 4478, 621, 563, 292, 3031, 527, 1948, 274, 281, 1215, 20405, 2052, 1411, 3619, 888, 307, 10455, 2335, 28683, 7012, 1406, 4010, 513, 4155, 14725, 1676, 269, 1677, 581, 4023, 267, 1100, 18714, 3662, 602, 22179, 936, 476, 278, 19726, 1223, 2479, 4126, 547, 581, 282, 855, 621, 4422, 1510, 6031, 602, 570, 10455, 2335, 28683, 4440, 7948, 1406, 6952, 513, 14247, 788, 269, 2755, 3432, 568, 2182, 547, 5173, 585, 2831, 602, 723, 1044, 4666, 585, 936, 476, 4792, 2929, 1296, 267, 12779, 2632, 5505, 723, 2322, 538, 519, 1382, 7488, 269, 1635, 18440, 5346, 519, 4887, 2527, 540, 513, 9269, 547, 513, 10853, 4137, 267, 12779, 2632, 5505, 723, 6059, 602, 519, 3193, 3432, 540, 570, 10455, 2335, 28683, 561, 1221, 1063, 476, 1428, 268, 3374, 21240, 829, 5662, 630, 1015, 268, 2420, 5195, 829, 5662, 264, 630, 274, 1040, 2755, 519, 5580, 3432, 9193, 616, 6157, 3728, 267, 789, 14201, 1406, 607, 3728, 607, 10352, 899, 3798, 23992, 28683, 610, 2107, 333, 603, 558, 574, 639, 269, 2060, 856, 337, 7342, 930, 10352, 7543, 267, 570, 10455, 2335, 28683, 2693, 1031, 513, 2484, 811, 3608, 1797, 540, 4323, 281, 5605, 2313, 563, 1607, 568, 1141, 1100, 551, 1248, 1275, 949, 723, 2097, 538, 13561, 585, 570, 10455, 2335, 28683, 269, 1306, 5892, 5018, 267, 5605, 5241, 10352, 1282, 21765, 949, 723, 1044, 2352, 585, 513, 23246, 607, 1804, 607, 570, 10455, 2335, 28683, 269, 1717, 267, 519, 2152, 15054, 676, 2450, 616, 7339, 730, 676, 519, 1970, 15287, 540, 3781, 269, 2776, 344, 899, 570, 878, 518, 520, 3591, 543, 1323, 330, 2643, 28683, 4440, 4769, 1406, 723, 519, 1655, 2631, 540, 5075, 7488, 540, 942, 267, 1818, 873, 1312, 5051, 7925, 547, 4323, 693, 3781, 269, 1403, 707, 10352, 814, 7411, 1114, 11868, 596, 689, 4054, 610, 19211, 267, 9327, 1406, 602, 581, 519, 4998, 942, 547, 10880, 286, 3143, 551, 1248, 1275, 1131, 723, 4847, 585, 570, 10455, 2335, 28683, 547, 5605, 2313, 1761, 10352, 609, 2799, 7145, 267, 3850, 621, 547, 6146, 10352, 1354, 789, 6785, 1018, 5734, 873, 563, 2750, 3031, 527, 1948, 275, 281, 1879, 538, 8935, 23336, 267, 6733, 693, 519, 10558, 2336, 15430, 1836, 267, 19421, 540, 1804, 23097, 5387, 2249, 616, 693, 2547, 13148, 27248, 269, 589, 1906, 1331, 20384, 267, 27683, 267, 682, 641, 1841, 267, 21495, 267, 1728, 523, 553, 543, 15315, 267, 519, 5354, 540, 799, 616, 1283, 11975, 538, 741, 9757, 8134, 269, 634, 14191, 2713, 14077, 540, 570, 10455, 2335, 28683, 267, 519, 5017, 543, 519, 25438, 3796, 267, 723, 27248, 2249, 602, 616, 2392, 2218, 269, 2060, 713, 538, 2247, 267, 621, 3884, 1406, 1932, 2484, 1922, 564, 3481, 547, 2161, 570, 10455, 2335, 28683, 729, 27248, 693, 2547, 593, 8317, 269, 4033, 17878, 267, 12077, 18858, 31788, 543, 20653, 1539, 571, 696, 528, 267, 723, 1044, 9672, 547, 581, 27248, 630, 275, 5148, 865, 267, 568, 621, 2731, 602, 2182, 547, 19424, 570, 10455, 2335, 28683, 607, 513, 20740, 540, 519, 10543, 888, 12663, 649, 17451, 5700, 585, 15742, 888, 4407, 1250, 3069, 568, 782, 1134, 543, 1434, 267, 2417, 1382, 568, 2838, 269, 19232, 2632, 5505, 941, 2111, 547, 3313, 602, 20653, 1539, 571, 696, 528, 729, 27248, 1317, 922, 521, 743, 1968, 8258, 267, 519, 7633, 602, 1106, 519, 3750, 267, 729, 8093, 1242, 543, 3976, 1223, 581, 9916, 630, 275, 1040, 2311, 519, 942, 540, 1603, 267, 594, 723, 1100, 1702, 540, 513, 570, 10455, 2335, 13239, 573, 602, 814, 1044, 4362, 609, 922, 521, 743, 1968, 14034, 538, 1747, 543, 3976, 267, 519, 24077, 3781, 5075, 540, 570, 10455, 2335, 28683, 3112, 581, 9672, 269, 3958, 267, 1256, 952, 570, 10455, 2335, 28683, 1223, 1294, 538, 519, 4158, 621, 568, 7543, 547, 2161, 2436, 621, 8246, 713, 2702, 547, 6968, 282, 1310, 782, 267, 621, 779, 2182, 547, 2708, 3207, 3270, 540, 606, 3662, 602, 814, 1044, 4666, 585, 476, 4792, 2929, 1296, 563, 296, 798, 711, 6875, 15894, 585, 1022, 16103, 5853, 538, 901, 9137, 563, 301, 697, 779, 6607, 21806, 540, 634, 18763, 267, 1336, 1934, 454, 307, 10455, 2335, 28683, 5605, 2313, 21806, 540, 6276, 717, 584, 2284, 267, 1336, 1934, 454, 307, 10455, 2335, 28683, 588, 732, 1524, 21806, 540, 17629, 24436, 267, 1336, 1934, 454, 306, 826, 8125, 17924, 8291, 21806, 540, 634, 12197, 7467, 267, 1336, 1934, 454, 268, 26883, 520, 974, 267, 15537, 269, 634, 22547, 543, 12096, 540, 519, 20550, 14795, 281, 513, 1715, 3778, 540, 513, 23452, 2622, 269, 5261, 5651, 992, 267, 606, 1955, 2745, 540, 22489, 31890, 23255, 267, 476, 1001, 280, 563, 268, 21862, 839, 267, 13573, 589, 269, 968, 289, 514, 22811, 17496, 538, 634, 1886, 617, 20550, 14795, 1848, 4750, 540, 7638, 974, 24260, 19232, 26585, 267, 2019, 269, 476, 2918, 267, 1100, 269, 476, 273, 267, 476, 1220, 277, 267, 6032, 269, 476, 25834, 1700, 20065, 1421, 8222, 281, 1015, 269, 15757, 272, 270, 271, 2767, 273, 268, 5379, 274, 275, 263, 1220, 277, 264, 2918, 314, 25834, 281, 321, 10903, 323, 316, 273, 269, 271, 16691, 282, 273, 563, 268, 28564, 517, 267, 631, 269, 808, 269, 20550, 14795, 4414, 4593, 2642, 281, 519, 11660, 7169, 538, 19232, 26585, 269, 774, 1868, 1299, 23747, 267, 476, 1708, 271, 563, 268, 5576, 2466, 345, 267, 700, 1421, 543, 681, 269, 7763, 8643, 269, 968, 5591, 551, 1248, 1275, 538, 20550, 14795, 769, 31084, 689, 590, 743, 1968, 23580, 543, 2107, 4226, 5651, 874, 1108, 1848, 3163, 267, 2019, 269, 476, 28590, 267, 1100, 269, 476, 2568, 274, 271, 267, 476, 1001, 272, 267, 6032, 269, 476, 3583, 276, 1700, 3583, 279, 1421, 8222, 281, 1015, 269, 12208, 277, 4882, 7220, 269, 6344, 21916, 274, 563, 275, 30491, 593, 968, 288, 1715, 7869, 281, 12984, 570, 10455, 2335, 28683, 3143, 24856, 18313, 2005, 7018, 547, 803, 602, 513, 1234, 343, 1131, 1118, 606, 5140, 14854, 552, 831, 269, 769, 1249, 267, 594, 723, 5063, 1566, 1441, 602, 4262, 16015, 4947, 11849, 648, 547, 838, 11921, 1131, 1118, 513, 14952, 748, 4316, 585, 1286, 333, 14795, 609, 2178, 28287, 543, 4522, 547, 21649, 1700, 11779, 540, 899, 918, 617, 328, 752, 645, 8986, 16298, 909, 585, 519, 13687, 2196, 563, 17829, 2462, 2025, 4522, 6157, 1223, 11523, 1930, 930, 16115, 256, 634, 1249, 602, 930, 1804, 7286, 16015, 1634, 607, 519, 2048, 3682, 339, 739, 1122, 1749, 685, 5030, 538, 3345, 3013, 1282, 519, 17623, 31350, 17675, 1797, 789, 1223, 723, 1044, 593, 519, 10624, 267, 1498, 594, 6557, 711, 2386, 875, 1082, 16015, 1131, 991, 547, 581, 10057, 585, 570, 3146, 343, 547, 723, 922, 6445, 7498, 296, 4952, 952, 789, 2461, 4262, 16015, 267, 789, 8910, 581, 7168, 2462, 1700, 16673, 2041, 5176, 9095, 3559, 517, 21092, 286, 2290, 610, 1079, 1131, 1118, 513, 22946, 540, 513, 7594, 282, 543, 1256, 952, 891, 16015, 941, 1152, 519, 2450, 540, 513, 16463, 3724, 610, 1256, 513, 2845, 3455, 3650, 267, 513, 19625, 540, 873, 1131, 1267, 538, 5176, 476, 4335, 10030, 266, 737, 3342, 540, 5779, 563, 5575, 513, 4063, 585, 707, 1357, 14704, 269, 1879, 594, 6836, 547, 899, 18825, 779, 6085, 267, 594, 729, 1166, 5792, 547, 513, 2985, 602, 1767, 21189, 610, 3136, 609, 5616, 269, 1809, 950, 594, 6836, 547, 798, 519, 5616, 8905, 543, 13603, 1018, 2272, 594, 4941, 547, 946, 621, 6854, 1166, 6235, 803, 1394, 547, 519, 1101, 2985, 6031, 21189, 610, 3136, 609, 5616, 269, 3767, 593, 547, 707, 2376, 563, 26807, 569, 606, 4277, 3069, 269, 4014, 594, 798, 723, 547, 2161, 602, 3677, 4064, 1281, 711, 8209, 1611, 1732, 5075, 269, 2334, 1131, 2097, 1524, 547, 25862, 543, 22203, 543, 519, 8401, 1062, 269, 1358, 798, 723, 10822, 22811, 5075, 267, 855, 1034, 952, 711, 782, 11975, 798, 269, 1924, 602, 9327, 1406, 8209, 5815, 27248, 10122, 269, 898, 779, 519, 10153, 16371, 3815, 602, 596, 5018, 602, 4991, 1250, 3007, 607, 602, 2306, 513, 2603, 540, 2631, 269, 594, 798, 723, 513, 2243, 23463, 1498, 267, 814, 4896, 2808, 602, 570, 7304, 1410, 1522, 723, 1044, 606, 5605, 2313, 23246, 286, 0, 1432, 5949, 950, 2475, 27504, 12448, 9652, 267, 9400, 29337, 267, 543, 9291, 22735, 5185, 30664, 16670, 267, 543, 875, 621, 19776, 547, 11686, 454, 15430, 6342, 12448, 9652, 538, 476, 5908, 279, 543, 9291, 22735, 538, 476, 1960, 279, 941, 1312, 30664, 3737, 267, 1247, 9400, 29337, 759, 11220, 1354, 646, 1223, 581, 30664, 3737, 538, 476, 3192, 275, 563, 2080, 616, 782, 519, 2475, 27504, 945, 723, 1044, 30664, 3737, 454, 763, 14130, 4203, 26860, 5518, 18496, 11686, 593, 1312, 4930, 540, 30664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1202, 3293, 602, 1352, 1131, 6368, 723, 513, 2648, 602, 1131, 2760, 4734, 1200, 563, 293, 4954, 30742, 267, 5261, 269, 968, 288, 14986, 585, 14667, 1848, 9085, 281, 7335, 267, 1234, 716, 532, 267, 5675, 269, 661, 1091, 269, 700, 4768, 773, 717, 269, 918, 15077, 345, 1676, 543, 15537, 681, 269, 13495, 749, 269, 476, 275, 628, 1196, 269, 2107, 1633, 334, 281, 670, 2117, 22620, 267, 5549, 269, 476, 1220, 272, 269, 476, 9262, 1107, 476, 11463, 563, 2108, 301, 1815, 5268, 23158, 1848, 674, 6064, 1299, 654, 1725, 8712, 281, 9208, 2037, 9871, 14037, 9218, 269, 3798, 269, 476, 3192, 273, 269, 476, 31973, 563, 347, 414, 501, 363, 1475, 19365, 674, 783, 30742, 476, 273, 2008, 347, 414, 501, 363, 1475, 10387, 1176, 717, 686, 3205, 634, 5020, 2986, 634, 2008, 347, 414, 501, 363, 1475, 3674, 15684, 1656, 14667, 717, 686, 3205, 2008, 347, 414, 501, 363, 1475, 1103, 15350, 2986, 14667, 717, 686, 3205, 4828, 3194, 2008, 347, 414, 501, 363, 1475, 288, 14986, 1280, 14667, 1635, 5261, 674, 4954, 30742, 2008, 347, 414, 501, 363, 1475, 293, 718, 523, 3245, 24553, 4828, 3194, 7433, 12096, 523, 2008, 347, 414, 501, 363, 1475, 288, 26647, 24327, 1280, 14667, 4828, 3194, 7433, 2008, 347, 414, 501, 363, 1475, 305, 846, 1280, 14667, 4828, 3194, 7433, 5811, 2008, 347, 414, 501, 363, 1475, 15228, 2513, 1143, 769, 589, 14986, 1280, 14667, 4828, 476, 273, 347, 0, 763, 1379, 547, 31391, 543, 8190, 1022, 543, 782, 2959, 610, 1344, 267, 1686, 267, 1239, 267, 3092, 269, 4427, 27703, 540, 11310, 28294, 1637, 563, 763, 3755, 540, 713, 1379, 666, 4994, 1022, 543, 782, 1114, 5686, 540, 1344, 267, 5027, 267, 1239, 267, 1686, 267, 3092, 269, 634, 3593, 666, 8190, 971, 2959, 676, 8380, 873, 538, 513, 2780, 267, 29256, 267, 1433, 267, 5094, 10155, 267, 610, 593, 741, 1378, 1560, 610, 9997, 585, 4027, 563, 268, 4578, 28294, 1637, 454, 268, 2037, 9871, 14037, 11310, 454, 268, 11310, 28294, 1637, 454, 268, 5027, 12039, 532, 281, 12039, 543, 8190, 519, 5027, 540, 782, 2249, 563, 268, 18143, 28294, 1637, 454, 268, 3883, 25665, 454, 268, 667, 7645, 19554, 454, 268, 5027, 28294, 1637, 454, 268, 16520, 28294, 1637, 454, 268, 12815, 28294, 1637, 454, 268, 5295, 7454, 578, 531, 454, 268, 5303, 28294, 1637, 454, 268, 634, 3755, 949, 1265, 602, 930, 1344, 3112, 581, 23876, 563, 268, 2755, 789, 666, 4558, 1344, 267, 3593, 949, 711, 723, 1569, 547, 621, 2933, 563, 268, 853, 1681, 1932, 1454, 1702, 949, 1267, 538, 834, 1478, 2903, 8487, 268, 12039, 20157, 28262, 1160, 3031, 3218, 636, 630, 2414, 589, 745, 20727, 7491, 340, 3143, 12039, 994, 268, 11020, 13519, 630, 17584, 994, 268, 2672, 580, 1115, 340, 630, 298, 2131, 6390, 31381, 994, 268, 634, 12039, 630, 306, 9567, 661, 831, 994, 268, 13192, 2103, 630, 22129, 667, 22929, 994, 268, 634, 5384, 700, 3581, 630, 2710, 2758, 5808, 994, 268, 674, 20667, 540, 13535, 328, 630, 311, 807, 22223, 8058, 6658, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 5646, 8688, 528, 267, 18673, 267, 2013, 11832, 610, 1514, 10017, 630, 3722, 4338, 1040, 1280, 476, 1789, 1296, 267, 649, 723, 1044, 11832, 267, 938, 2832, 568, 547, 3132, 20021, 945, 666, 3450, 4294, 6530, 543, 554, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19111, 5004, 257, 607, 851, 540, 834, 24719, 13316, 1315, 5274, 7896, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 14297, 4884, 4904, 609, 782, 12204, 540, 19269, 543, 3457, 267, 5030, 1079, 1655, 2828, 3957, 5981, 543, 16888, 269, 1358, 6068, 3695, 1007, 2029, 1927, 256, 2290, 1554, 267, 1247, 4730, 609, 741, 5172, 9162, 267, 16888, 8068, 1945, 9490, 269, 2701, 1185, 8373, 3478, 5981, 781, 3007, 950, 10004, 1154, 2228, 269, 1924, 1352, 4280, 267, 834, 20694, 267, 875, 2097, 596, 4782, 6158, 593, 519, 6049, 3079, 540, 1210, 707, 2780, 12482, 20694, 14452, 267, 834, 296, 1265, 11436, 1450, 585, 811, 2123, 4296, 543, 8216, 5955, 1701, 24651, 713, 267, 2370, 1769, 15620, 4682, 1055, 3330, 16888, 781, 2212, 269, 2701, 9289, 267, 834, 1432, 2306, 11436, 1114, 689, 5904, 585, 971, 2027, 4205, 8119, 901, 17275, 741, 7279, 1256, 2417, 2439, 29310, 267, 789, 24389, 593, 513, 3460, 1472, 741, 8378, 267, 6998, 3025, 1018, 789, 2219, 269, 1306, 789, 4121, 827, 11387, 267, 6786, 267, 543, 5121, 267, 789, 4362, 602, 3280, 6329, 5645, 676, 2011, 1577, 721, 5873, 1142, 824, 781, 9739, 14678, 593, 519, 6049, 269, 1717, 267, 4950, 6835, 991, 1312, 3457, 4448, 8195, 799, 3006, 3123, 17799, 269, 1323, 6397, 7088, 1287, 5734, 741, 4884, 267, 27200, 782, 12616, 10618, 269, 22582, 267, 789, 7691, 1100, 835, 1223, 2911, 1510, 12904, 15042, 2439, 15987, 521, 5417, 2989, 267, 5981, 543, 16888, 1336, 24176, 6616, 789, 4121, 3407, 4245, 827, 2257, 543, 11505, 269, 4634, 1498, 2413, 2645, 666, 3142, 721, 6251, 267, 1620, 2470, 2337, 721, 5660, 922, 1379, 1932, 269, 3245, 1287, 593, 267, 789, 23362, 19179, 1243, 1732, 4365, 267, 10027, 5109, 519, 2956, 540, 3068, 3562, 19904, 12909, 2394, 789, 1223, 10004, 1586, 998, 741, 11537, 3457, 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, 22081, 1281, 519, 4845, 1439, 2496, 3891, 9053, 14379, 609, 519, 6049, 936, 519, 2780, 267, 1317, 519, 454, 3891, 9053, 14379, 609, 519, 6049, 936, 519, 2780, 267, 1317, 519, 6049, 4847, 585, 513, 811, 2123, 4276, 543, 8216, 5955, 1282, 7391, 780, 3721, 476, 272, 281, 14419, 519, 2796, 540, 519, 2016, 4845, 563, 1103, 713, 2013, 267, 519, 2796, 568, 827, 2576, 781, 13283, 538, 2792, 2409, 780, 3721, 476, 273, 281, 10576, 519, 4128, 585, 519, 13283, 563, 763, 13283, 568, 585, 6049, 2792, 936, 2780, 2792, 267, 865, 2009, 4128, 1223, 1331, 8897, 540, 946, 267, 10688, 267, 10727, 267, 2123, 1436, 267, 610, 3432, 780, 3721, 476, 274, 281, 4813, 3634, 513, 17396, 7778, 1759, 593, 1761, 4128, 602, 1131, 2491, 519, 13283, 563, 11073, 540, 519, 2009, 4128, 267, 594, 8359, 2123, 4276, 543, 8216, 5955, 267, 1317, 789, 9305, 547, 519, 1871, 540, 6049, 2792, 538, 14237, 3347, 543, 4509, 3608, 2792, 780, 3721, 476, 275, 281, 13159, 519, 4845, 609, 519, 7778, 563, 763, 4845, 1631, 14509, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 12071, 2803, 12412, 22794, 568, 513, 3532, 1907, 1031, 538, 6211, 1382, 547, 14650, 3889, 543, 3157, 1369, 2281, 543, 8031, 269, 898, 12346, 593, 519, 2702, 540, 1978, 6675, 267, 1572, 14806, 2684, 2803, 610, 24638, 28525, 267, 547, 10110, 1769, 693, 1808, 20966, 543, 13604, 12520, 1769, 693, 3476, 20966, 269, 634, 19501, 1769, 666, 581, 9676, 676, 513, 18785, 267, 971, 607, 513, 8254, 267, 3850, 3173, 547, 7747, 519, 3892, 543, 2623, 540, 519, 13042, 6675, 269, 1717, 267, 899, 1022, 2029, 267, 28264, 22794, 814, 922, 7687, 543, 2591, 267, 930, 540, 799, 9305, 547, 519, 8417, 543, 2584, 25570, 640, 540, 519, 9196, 1184, 780, 2414, 1174, 891, 2152, 267, 1577, 781, 1101, 2015, 519, 2596, 3741, 540, 1769, 22794, 269, 589, 17209, 3335, 5161, 540, 513, 1769, 2707, 267, 513, 7873, 27660, 267, 606, 6662, 7828, 267, 543, 513, 18785, 269, 634, 1769, 2707, 32514, 919, 519, 3732, 267, 2901, 10299, 998, 621, 610, 10630, 1055, 621, 267, 4470, 593, 519, 1826, 540, 22794, 269, 634, 7873, 27660, 6212, 519, 1769, 5196, 519, 3732, 267, 1247, 519, 6662, 7828, 25173, 519, 16559, 610, 18195, 539, 1769, 543, 3172, 5809, 621, 269, 7053, 267, 519, 18785, 19306, 519, 3239, 4646, 676, 519, 6662, 7828, 780, 1103, 28264, 22794, 267, 519, 29835, 1769, 568, 12842, 676, 519, 14806, 2684, 648, 267, 4929, 621, 547, 4283, 606, 9599, 1533, 269, 2991, 513, 5618, 1974, 267, 1282, 799, 1648, 568, 4503, 998, 1585, 1875, 268, 2784, 14306, 11444, 267, 519, 14806, 2684, 648, 7024, 547, 922, 2666, 1533, 543, 13847, 519, 4430, 1648, 607, 513, 2539, 20589, 27141, 267, 1775, 4318, 1421, 609, 513, 3476, 15423, 982, 519, 29835, 1769, 269, 901, 7613, 568, 1634, 607, 853, 10280, 6521, 269, 634, 8515, 540, 519, 19501, 1769, 5673, 593, 1896, 2188, 267, 1519, 519, 5834, 540, 519, 14806, 2684, 648, 267, 519, 7061, 6556, 630, 328, 4318, 1421, 519, 5506, 540, 12998, 2390, 10338, 1070, 543, 519, 4398, 540, 519, 7020, 1062, 780, 2026, 5018, 4505, 267, 8417, 543, 2584, 25570, 640, 616, 1713, 4145, 538, 28264, 22794, 269, 1677, 5660, 1946, 267, 11291, 602, 519, 6571, 540, 513, 17209, 568, 3908, 676, 32250, 267, 799, 5012, 547, 519, 5250, 540, 606, 5794, 344, 4806, 1472, 1142, 1448, 2707, 540, 1769, 269, 634, 8700, 540, 519, 3844, 27914, 540, 519, 5794, 344, 4806, 11887, 519, 8901, 6571, 540, 519, 17209, 267, 2495, 602, 32067, 3877, 2154, 10156, 20966, 540, 1769, 269, 10251, 267, 10156, 20966, 849, 5330, 547, 2362, 19367, 267, 3056, 547, 2799, 2584, 617, 600, 720, 543, 2584, 984, 548, 2286, 267, 1141, 519, 14806, 2684, 648, 19380, 922, 2702, 547, 12520, 1769, 1813, 547, 3114, 6547, 13251, 676, 519, 1164, 20589, 22726, 269, 5015, 267, 2094, 1034, 31127, 4143, 5439, 798, 711, 2270, 6190, 9830, 540, 14806, 2684, 2803, 267, 3173, 1419, 991, 547, 2333, 519, 29835, 1769, 8515, 610, 4598, 942, 547, 3035, 25685, 5365, 3562, 5991, 18857, 12753, 269, 1452, 2994, 267, 2705, 267, 22652, 519, 2042, 540, 2584, 25570, 640, 543, 2584, 984, 548, 2286, 780, 11767, 3818, 14428, 582, 517, 22794, 267, 4481, 476, 273, 14428, 582, 517, 8955, 17655, 22794, 630, 9143, 11862, 300, 1070, 513, 4480, 2919, 538, 519, 3735, 476, 2735, 271, 338, 543, 2038, 476, 1960, 271, 338, 602, 9607, 1082, 540, 519, 2152, 2404, 609, 6671, 28264, 22794, 269, 570, 303, 11862, 300, 3096, 24421, 539, 22795, 5665, 693, 2282, 19899, 14518, 610, 18342, 20966, 267, 2484, 3564, 1018, 2757, 14806, 2684, 2803, 666, 10110, 7561, 3842, 2582, 14428, 582, 517, 13289, 269, 5502, 267, 570, 303, 11862, 300, 12346, 593, 21800, 10338, 540, 1079, 1970, 20589, 22726, 547, 3895, 519, 14806, 2684, 648, 547, 519, 9599, 1533, 269, 9603, 547, 519, 8579, 2470, 540, 27141, 12625, 2053, 267, 713, 12242, 3887, 1203, 3340, 7920, 1769, 20512, 13671, 1312, 22883, 6053, 543, 9389, 958, 267, 4611, 538, 3810, 22297, 2300, 14591, 269, 9182, 267, 856, 6361, 1922, 1371, 4282, 28264, 568, 3648, 4389, 267, 5355, 4334, 543, 6571, 3379, 547, 2647, 7615, 610, 1476, 5914, 22794, 269, 5047, 267, 1317, 519, 2698, 1648, 20024, 883, 519, 19494, 3788, 3586, 267, 7488, 540, 519, 1297, 540, 22726, 2838, 585, 29835, 267, 570, 303, 11862, 300, 15225, 8519, 2584, 25570, 640, 543, 2584, 984, 548, 2286, 3379, 547, 6671, 2409, 780, 5194, 5413, 540, 570, 303, 11862, 300, 6013, 538, 922, 2620, 5160, 21774, 7207, 269, 1306, 7074, 5892, 267, 2282, 19899, 14518, 543, 18342, 1769, 10929, 8766, 22502, 543, 10338, 538, 6211, 8031, 267, 7175, 570, 303, 11862, 300, 547, 16785, 4514, 4525, 11389, 778, 762, 676, 3044, 3134, 604, 1663, 2803, 12412, 610, 1476, 5914, 2553, 269, 1280, 3236, 267, 5778, 27023, 1235, 723, 6964, 570, 303, 11862, 300, 547, 8495, 8849, 5547, 6384, 538, 24155, 267, 13031, 1950, 3270, 540, 2534, 538, 16856, 12058, 269, 3958, 267, 570, 303, 11862, 300, 814, 8810, 3407, 585, 4974, 6422, 10408, 2621, 1282, 25782, 1646, 267, 4761, 6114, 267, 543, 2860, 11144, 267, 1851, 1866, 780, 8601, 922, 3875, 5383, 267, 570, 303, 11862, 300, 1281, 4865, 930, 7915, 7687, 269, 17616, 267, 8236, 7850, 29835, 3928, 19329, 7199, 16600, 9724, 22795, 5827, 540, 10451, 3185, 339, 846, 1718, 20512, 269, 19627, 267, 519, 13796, 9668, 1063, 15654, 8955, 20512, 6971, 2949, 11601, 3432, 267, 1818, 570, 303, 11862, 300, 1447, 5078, 585, 4028, 9196, 3156, 269, 14936, 267, 519, 13766, 540, 14139, 7463, 24470, 15095, 609, 6687, 14653, 517, 10338, 2417, 9673, 1206, 570, 303, 11862, 300, 781, 31675, 269, 11048, 267, 5571, 7835, 538, 8955, 2029, 267, 14806, 2684, 648, 1374, 267, 543, 12985, 6620, 3136, 547, 4228, 570, 303, 11862, 300, 781, 20030, 267, 4396, 4328, 922, 1909, 607, 513, 2629, 1907, 538, 2413, 1272, 9443, 780, 25748, 267, 8441, 538, 2706, 22822, 22794, 723, 14593, 519, 7182, 540, 9804, 6571, 1256, 2417, 267, 5356, 13778, 4030, 883, 1016, 14978, 3919, 543, 1599, 269, 9828, 971, 607, 25623, 12998, 22930, 630, 4306, 3633, 1070, 11295, 26149, 22794, 630, 306, 8379, 1070, 543, 32094, 9804, 16646, 22794, 630, 4306, 3036, 300, 8358, 874, 9369, 716, 17300, 31338, 22794, 630, 303, 3201, 300, 264, 7048, 593, 1114, 6127, 547, 20546, 519, 8106, 32250, 11064, 267, 3246, 21368, 1524, 547, 9937, 540, 6289, 18852, 269, 2755, 891, 4485, 3180, 10373, 1761, 585, 3695, 7636, 25121, 543, 4205, 267, 789, 1932, 3068, 2591, 3823, 8417, 267, 21458, 5860, 267, 543, 2584, 25570, 640, 267, 5373, 19320, 609, 4505, 5717, 4478, 570, 303, 11862, 300, 269, 4475, 267, 2104, 10124, 1590, 10880, 513, 3666, 1063, 7393, 8901, 6571, 543, 8497, 3732, 8699, 267, 4180, 7347, 1239, 4015, 1510, 18731, 8097, 4093, 780, 1103, 3932, 267, 28264, 22794, 5713, 607, 513, 22294, 585, 14236, 3309, 6211, 1949, 267, 19286, 908, 7293, 2934, 267, 543, 9477, 6198, 6384, 2066, 2789, 10253, 269, 6736, 6849, 9465, 1644, 547, 2584, 25570, 640, 543, 8417, 267, 5499, 3435, 267, 971, 607, 476, 273, 14428, 582, 517, 8955, 17655, 22794, 267, 2709, 9621, 8925, 585, 14027, 938, 1620, 540, 6946, 6211, 9259, 269, 21676, 9482, 609, 5969, 12967, 4066, 538, 2706, 22822, 9196, 267, 891, 16097, 786, 17216, 3565, 547, 13710, 8906, 5935, 519, 5251, 540, 6211, 1382, 585, 1296, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7628, 519, 2063, 1079, 5756, 267, 22794, 814, 1044, 7683, 3843, 547, 17908, 1007, 6302, 269, 1635, 17935, 585, 4130, 3877, 267, 12514, 543, 824, 22572, 2877, 547, 1831, 811, 6213, 543, 1447, 26776, 1813, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2725, 27227, 568, 519, 1106, 540, 11589, 3054, 538, 1082, 1114, 6163, 543, 1585, 2081, 563, 297, 9579, 568, 1767, 547, 581, 519, 4909, 18819, 540, 1480, 1272, 543, 544, 753, 4207, 15260, 20156, 540, 2757, 2418, 269, 6153, 4828, 11762, 593, 27227, 634, 4098, 3364, 540, 519, 11264, 606, 1557, 593, 1022, 6249, 568, 547, 581, 8746, 602, 596, 616, 3222, 540, 713, 12106, 540, 1272, 563, 297, 9579, 568, 513, 2511, 540, 2575, 602, 729, 8547, 676, 519, 1977, 20338, 543, 2968, 2731, 2442, 1851, 824, 12372, 269, 8734, 476, 2641, 267, 5788, 17857, 2749, 15690, 9754, 2689, 1557, 269, 1272, 1557, 9840, 593, 4984, 5288, 2257, 3594, 6090, 529, 476, 272, 543, 476, 273, 2079, 1557, 267, 562, 879, 6390, 6760, 6710, 1557, 2328, 513, 15422, 2680, 1557, 8766, 1143, 1898, 3594, 3140, 1557, 1603, 530, 17064, 684, 614, 928, 327, 1067, 335, 325, 663, 516, 19816, 581, 7371, 1408, 1557, 581, 19354, 2669, 1557, 544, 7795, 13758, 15995, 584, 19207, 2006, 1094, 3031, 563, 24523, 910, 2575, 1557, 630, 329, 9579, 1070, 4828, 7994, 513, 1134, 1634, 15690, 5888, 547, 1382, 543, 5635, 1614, 19827, 676, 1614, 1114, 15690, 5159, 269, 14424, 519, 5283, 21288, 12496, 267, 24754, 9240, 7174, 267, 6163, 267, 12417, 267, 30181, 267, 3029, 267, 543, 5924, 6163, 540, 27906, 5314, 540, 519, 1614, 19827, 563, 1103, 713, 1557, 594, 1865, 606, 2460, 540, 15690, 779, 1686, 538, 543, 540, 18629, 267, 513, 3148, 11397, 689, 519, 5375, 2694, 540, 519, 11782, 602, 723, 689, 2038, 7389, 26017, 519, 3007, 540, 5640, 7722, 609, 2575, 540, 519, 3979, 29563, 563, 763, 7167, 7723, 23800, 538, 8535, 634, 10406, 540, 8535, 3091, 1079, 15938, 5232, 281, 25328, 540, 8535, 630, 13696, 264, 543, 5888, 267, 1686, 267, 15690, 2090, 267, 2575, 2069, 267, 543, 2773, 563, 5472, 540, 519, 5232, 24579, 31810, 538, 2575, 723, 513, 1297, 540, 3838, 1576, 4170, 267, 607, 1134, 607, 5094, 4170, 602, 5581, 519, 3853, 540, 1142, 7868, 3140, 6090, 529, 540, 15690, 1557, 0, 6524, 634, 11135, 454, 5472, 1554, 602, 14914, 10732, 519, 20752, 4229, 26017, 676, 2051, 269, 15182, 13153, 2098, 1074, 523, 19179, 1243, 519, 5742, 8136, 789, 6785, 729, 593, 519, 1259, 689, 570, 639, 651, 32607, 269, 19768, 532, 519, 2367, 2877, 547, 3180, 621, 267, 789, 941, 7142, 547, 4734, 519, 1899, 789, 1185, 5423, 593, 519, 15113, 547, 519, 7178, 543, 812, 606, 6418, 1899, 689, 519, 5023, 540, 26652, 15880, 5087, 1189, 998, 713, 2990, 269, 19382, 3768, 1030, 2105, 267, 519, 667, 3739, 5069, 9335, 8115, 729, 14095, 609, 3282, 27940, 8898, 10412, 3653, 543, 14616, 827, 476, 273, 522, 262, 22018, 950, 519, 8549, 642, 1481, 731, 16091, 621, 269, 674, 9430, 538, 741, 4674, 519, 986, 11107, 24013, 4319, 3297, 519, 15113, 2394, 789, 16091, 1586, 1310, 4158, 563, 289, 4490, 2986, 12852, 731, 454, 763, 23801, 2962, 538, 519, 2063, 6370, 540, 519, 2782, 9737, 519, 2276, 7018, 1934, 693, 519, 4099, 540, 519, 20752, 17872, 1899, 269, 2311, 476, 279, 533, 6230, 269, 593, 4989, 476, 1626, 267, 476, 5908, 276, 5742, 4229, 3366, 676, 20727, 269, 2637, 269, 6276, 670, 269, 14355, 9901, 538, 519, 14334, 689, 519, 15113, 547, 519, 7178, 269, 1358, 13264, 998, 519, 8878, 543, 14593, 593, 547, 519, 11308, 4988, 8115, 2066, 519, 5757, 269, 634, 28583, 919, 267, 18468, 789, 1185, 1044, 2759, 1055, 676, 519, 12658, 5644, 267, 1500, 513, 3552, 21686, 585, 519, 8115, 849, 269, 1703, 729, 19039, 14784, 607, 1312, 20679, 267, 538, 12334, 14334, 267, 795, 25428, 519, 7522, 2497, 609, 2367, 9640, 543, 530, 30368, 269, 769, 519, 4158, 267, 3659, 543, 535, 4141, 941, 967, 626, 3907, 27720, 269, 0, 22416, 24444, 2473, 2782, 2740, 2974, 827, 519, 16381, 17517, 540, 4563, 9919, 30503, 25741, 607, 24285, 305, 895, 1575, 454, 15912, 281, 12019, 2782, 267, 3979, 1977, 1686, 267, 6754, 7605, 525, 517, 267, 10793, 773, 20484, 267, 28910, 267, 29346, 2473, 267, 670, 308, 3722, 454, 298, 1803, 570, 269, 631, 904, 568, 606, 13930, 7548, 538, 519, 8257, 540, 3979, 1977, 2090, 267, 1977, 4095, 2090, 543, 1686, 693, 17459, 6369, 563, 5475, 1010, 2487, 715, 10621, 23594, 1222, 3094, 267, 2274, 289, 1258, 6276, 7074, 602, 4352, 646, 729, 6126, 547, 3094, 267, 646, 4941, 547, 1832, 968, 1492, 1292, 3364, 519, 1292, 3364, 2223, 13288, 547, 519, 991, 547, 2611, 8149, 547, 519, 4339, 585, 1514, 5126, 269, 4813, 518, 7022, 4446, 871, 15525, 17408, 9643, 1010, 25621, 540, 713, 11802, 543, 26916, 6276, 585, 1373, 513, 6205, 968, 514, 519, 1857, 26750, 8165, 585, 2069, 267, 1514, 5126, 267, 543, 9111, 3034, 5415, 5063, 267, 986, 3899, 5828, 7260, 5182, 10979, 28116, 1767, 646, 729, 1930, 547, 2324, 609, 1312, 519, 11686, 6261, 775, 543, 24068, 6953, 1551, 529, 13122, 547, 28433, 513, 1544, 547, 2087, 4563, 4892, 685, 2804, 2175, 269, 3571, 7805, 22371, 547, 2324, 609, 11686, 5337, 1243, 1454, 15784, 950, 11686, 779, 2319, 17408, 9643, 875, 10583, 789, 941, 547, 581, 2324, 609, 28116, 269, 13536, 267, 986, 3899, 476, 2004, 2578, 9307, 646, 729, 25380, 11686, 547, 2057, 513, 8589, 3454, 2557, 2333, 896, 513, 24068, 1544, 563, 4322, 2665, 22113, 875, 267, 1247, 621, 666, 581, 8098, 10928, 950, 28245, 946, 741, 5763, 543, 3760, 547, 1463, 1004, 779, 3007, 547, 1514, 543, 2797, 2152, 267, 519, 2923, 779, 3795, 543, 14761, 685, 29208, 540, 4563, 28245, 666, 2285, 513, 7729, 14954, 12705, 269, 4107, 4563, 1004, 616, 711, 28245, 267, 543, 519, 4145, 540, 8723, 1004, 616, 1419, 693, 12918, 609, 1346, 540, 971, 22557, 15161, 563, 763, 2833, 540, 10793, 773, 20484, 1282, 519, 4414, 2480, 732, 543, 5062, 10111, 20321, 1143, 7000, 519, 7182, 540, 519, 4563, 28910, 1362, 269, 20484, 729, 513, 3084, 5869, 585, 10128, 11683, 13477, 28473, 538, 476, 3707, 278, 269, 1261, 18808, 609, 4550, 5174, 331, 871, 10168, 593, 543, 1055, 519, 2361, 267, 543, 646, 1185, 2943, 547, 993, 817, 519, 5763, 646, 964, 5703, 269, 11048, 267, 1317, 646, 5280, 547, 11753, 3013, 779, 2250, 830, 267, 646, 729, 5310, 519, 1034, 1134, 8153, 4563, 28910, 693, 519, 942, 563, 1103, 476, 3707, 280, 267, 1325, 9109, 853, 10280, 267, 513, 4563, 31375, 585, 519, 5600, 1133, 12677, 11242, 9730, 630, 295, 308, 3722, 1070, 1572, 25032, 26548, 4486, 267, 7022, 543, 2489, 9614, 540, 519, 27201, 667, 617, 7970, 267, 547, 2307, 20484, 547, 3717, 538, 4395, 540, 670, 308, 3722, 269, 853, 10280, 543, 670, 308, 3722, 5697, 20484, 267, 513, 25411, 4875, 4550, 268, 10919, 626, 267, 1317, 519, 3440, 16651, 1131, 581, 519, 1655, 4563, 11347, 547, 4831, 1776, 4563, 28910, 281, 6754, 7605, 525, 517, 563, 21659, 525, 517, 267, 945, 849, 5249, 585, 606, 1439, 547, 4550, 5174, 331, 871, 10168, 543, 1362, 14226, 267, 11130, 602, 4563, 1004, 1522, 2015, 3168, 11992, 585, 5191, 267, 3544, 540, 606, 26568, 2136, 2276, 269, 853, 10280, 5156, 602, 952, 4563, 28245, 899, 20484, 12038, 856, 1996, 25399, 267, 789, 1223, 6542, 602, 519, 4563, 2146, 779, 14017, 729, 547, 519, 2136, 2276, 2443, 513, 8226, 646, 5156, 729, 2565, 585, 4180, 2407, 15114, 585, 4563, 4892, 563, 21659, 8657, 779, 4633, 4951, 1946, 4563, 28245, 1223, 23881, 614, 607, 1514, 5126, 3401, 269, 2755, 930, 1522, 581, 2111, 547, 946, 741, 28910, 547, 12167, 585, 519, 1034, 7925, 267, 824, 28245, 1522, 581, 26203, 610, 20399, 547, 1796, 585, 2797, 7158, 602, 1223, 24183, 519, 5354, 540, 4563, 4892, 685, 2797, 4690, 269, 4256, 7158, 1522, 849, 581, 3144, 607, 11347, 540, 519, 27742, 540, 519, 4563, 2146, 267, 1256, 950, 741, 2833, 941, 1360, 1114, 689, 519, 5354, 779, 563, 14937, 28929, 29346, 2473, 21350, 5367, 6161, 827, 713, 12402, 538, 476, 3422, 274, 267, 950, 646, 15548, 538, 513, 6643, 609, 1914, 6048, 3627, 6181, 1326, 339, 543, 670, 9007, 29965, 267, 606, 3979, 1977, 543, 693, 519, 942, 513, 15257, 3450, 13930, 269, 6181, 1326, 339, 11130, 602, 1082, 4563, 3401, 9846, 20729, 539, 4563, 9620, 585, 5126, 267, 19696, 1851, 873, 3115, 269, 5261, 700, 269, 29861, 5459, 540, 9628, 269, 29346, 2473, 8815, 855, 11130, 602, 519, 1966, 729, 12082, 538, 1018, 621, 3576, 547, 1831, 513, 4563, 6205, 538, 513, 22457, 2197, 267, 543, 519, 6286, 540, 1018, 835, 779, 4276, 547, 513, 22457, 1062, 1281, 547, 835, 779, 2797, 5784, 543, 3069, 540, 1514, 1689, 563, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 1215, 4563, 6468, 645, 3754, 23068, 547, 6115, 538, 519, 476, 5197, 271, 338, 454, 268, 3487, 540, 9861, 513, 23582, 31001, 538, 476, 1704, 628, 31588, 1722, 2342, 12984, 10435, 5709, 1149, 454, 268, 1215, 3220, 269, 1530, 1380, 29594, 539, 547, 31379, 5808, 595, 6817, 4934, 3571, 32641, 454, 268, 20570, 2986, 3427, 5264, 1280, 4563, 5753, 3767, 5510, 619, 589, 3778, 7689, 454, 268, 4658, 7043, 532, 585, 28414, 634, 11596, 4438, 519, 476, 4489, 279, 12071, 17455, 2438, 3171, 1564, 15020, 19361, 538, 476, 1708, 272, 0, 268, 1215, 1281, 22898, 2965, 960, 888, 268, 1548, 568, 3017, 1063, 14103, 543, 22898, 888, 268, 1548, 1281, 22898, 1611, 538, 1257, 888, 268, 1772, 621, 2653, 547, 1451, 22898, 888, 268, 7316, 798, 594, 2322, 1271, 22898, 888, 268, 6904, 4341, 814, 5207, 10862, 888, 268, 1548, 568, 22898, 543, 1946, 621, 568, 1031, 888, 268, 1548, 616, 519, 476, 274, 2010, 540, 22898, 888, 268, 1548, 568, 22898, 1377, 888, 268, 1548, 568, 22898, 3652, 888, 268, 1548, 568, 22898, 1383, 888, 268, 1215, 798, 596, 2057, 1271, 538, 22898, 888, 268, 6904, 22898, 814, 5207, 10862, 888, 268, 1548, 568, 519, 946, 540, 1271, 538, 22898, 888, 268, 1772, 22898, 513, 5752, 1893, 888, 268, 1548, 568, 22898, 543, 922, 2934, 888, 268, 1772, 621, 3983, 547, 946, 1271, 538, 22898, 888, 268, 1548, 568, 22898, 543, 875, 1281, 621, 960, 888, 268, 6904, 1826, 540, 22898, 568, 1732, 888, 268, 1548, 616, 519, 1614, 2081, 547, 7696, 22898, 888, 268, 1215, 798, 594, 936, 20183, 22898, 6163, 888, 268, 1548, 1931, 1058, 22898, 581, 538, 888, 1692, 1281, 22898, 2965, 960, 888, 1692, 1281, 22898, 2965, 960, 563, 2691, 513, 11422, 10525, 513, 3561, 267, 621, 1590, 9192, 519, 3561, 779, 1543, 609, 922, 2511, 1344, 563, 763, 11422, 1287, 10099, 2583, 1034, 540, 519, 2200, 602, 616, 5532, 547, 676, 519, 14103, 3561, 267, 971, 607, 11251, 2592, 543, 7044, 6693, 663, 5532, 22898, 256, 563, 1432, 568, 3017, 1063, 14103, 543, 22898, 888, 5226, 924, 3274, 267, 14103, 630, 29730, 3667, 4460, 1575, 5678, 264, 568, 1031, 547, 1711, 519, 4890, 1543, 540, 519, 2985, 267, 971, 607, 2854, 1257, 267, 543, 22898, 630, 290, 2444, 1228, 853, 344, 1782, 25420, 264, 568, 3743, 585, 519, 1374, 610, 2511, 540, 519, 3896, 267, 1519, 519, 11768, 267, 3308, 2360, 543, 4282, 2681, 563, 1432, 1281, 22898, 1611, 538, 1257, 888, 290, 2444, 8172, 13910, 25420, 16430, 568, 519, 27099, 540, 968, 290, 2444, 8172, 13910, 25420, 6100, 22898, 568, 513, 2780, 1893, 585, 18413, 856, 543, 1785, 1005, 1357, 3817, 630, 12487, 7876, 610, 24701, 1040, 901, 1893, 3568, 8193, 2609, 543, 568, 7768, 540, 891, 968, 322, 2444, 8172, 2511, 9212, 892, 799, 616, 8449, 1572, 22898, 6119, 630, 563, 3674, 621, 2653, 547, 1451, 22898, 888, 4002, 513, 4909, 1377, 267, 9811, 267, 22898, 568, 2653, 547, 1451, 269, 1809, 1317, 22898, 568, 865, 2143, 543, 13857, 267, 1082, 1004, 1265, 1565, 22898, 14845, 543, 2352, 269, 2560, 898, 1522, 1413, 30255, 543, 14845, 267, 855, 519, 17950, 666, 581, 4121, 1360, 3362, 269, 22898, 568, 2653, 547, 1451, 543, 1205, 3323, 609, 563, 8489, 798, 594, 2322, 1271, 22898, 888, 28695, 20438, 630, 528, 3948, 264, 1590, 581, 5116, 693, 519, 1439, 540, 519, 1899, 267, 5612, 1354, 519, 12931, 20325, 267, 6382, 621, 786, 723, 1100, 1198, 630, 24392, 513, 2230, 1354, 519, 12931, 20325, 4465, 1406, 2736, 621, 264, 1403, 585, 930, 1880, 2601, 596, 723, 547, 2328, 519, 1482, 3959, 7466, 538, 519, 1482, 17083, 3625, 267, 1287, 1039, 476, 2336, 7617, 4341, 814, 5207, 10862, 888, 763, 2511, 14487, 538, 519, 14103, 3693, 814, 519, 5207, 10862, 1310, 519, 8206, 1271, 14487, 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 ]
[ 989, 2787, 563, 7312, 8192, 5079, 2047, 1860, 1312, 707, 1560, 543, 707, 2247, 269, 1635, 1904, 532, 585, 3536, 602, 4324, 519, 2634, 543, 8401, 1062, 267, 596, 666, 6536, 9350, 543, 2087, 875, 596, 1745, 269, 1280, 811, 3536, 602, 9350, 519, 8401, 1062, 543, 10531, 2732, 5796, 267, 2015, 6158, 547, 707, 4387, 269, 1358, 786, 581, 6126, 547, 3391, 596, 547, 513, 8902, 2732, 543, 18668, 1272, 269, 0, 4306, 292, 2894, 289, 10498, 293, 2177, 15288, 2562, 476, 280, 298, 305, 281, 589, 631, 2839, 291, 4041, 5254, 24535, 589, 12283, 9501, 305, 5058, 590, 25492, 454, 2562, 22244, 6573, 8008, 302, 267, 590, 5495, 8025, 589, 15709, 32177, 454, 14877, 301, 654, 4696, 4041, 312, 272, 24682, 10790, 312, 700, 269, 631, 7838, 7419, 22835, 272, 267, 21096, 4668, 654, 3951, 30600, 2177, 273, 2676, 4629, 289, 12224, 645, 5357, 295, 2752, 274, 267, 27107, 12778, 645, 4456, 293, 16704, 272, 267, 8863, 305, 3041, 2316, 20911, 16038, 14110, 8991, 273, 2676, 288, 7838, 16800, 966, 3201, 272, 267, 275, 1299, 623, 3201, 6865, 288, 16692, 15829, 18027, 383, 495, 288, 272, 267, 273, 454, 272, 18128, 1828, 776, 5525, 4659, 267, 2160, 540, 519, 31864, 31662, 8681, 267, 29312, 7921, 267, 3162, 4000, 454, 265, 17357, 22046, 532, 2278, 269, 661, 17733, 281, 4757, 11333, 2593, 454, 273, 19425, 2801, 1108, 4972, 267, 3427, 540, 17323, 267, 26337, 543, 7025, 5525, 2676, 17206, 540, 519, 31864, 31662, 8681, 267, 29312, 7921, 267, 3162, 4000, 454, 274, 10481, 1108, 4972, 267, 3427, 540, 2983, 657, 31190, 267, 2160, 540, 519, 31864, 31662, 8681, 267, 29312, 7921, 267, 3162, 4000, 454, 275, 291, 1080, 784, 2817, 7467, 540, 7849, 3778, 267, 476, 28242, 6250, 698, 773, 853, 267, 23239, 18319, 267, 3162, 4000, 454, 263, 3725, 18727, 4989, 476, 1001, 277, 269, 4860, 2213, 4864, 476, 1001, 277, 994, 306, 10117, 321, 758, 325, 517, 12888, 476, 280, 298, 305, 568, 513, 5664, 12942, 6520, 5614, 3135, 538, 519, 454, 12850, 6199, 267, 7799, 16647, 334, 269, 898, 568, 13883, 538, 513, 17027, 20276, 656, 267, 519, 454, 309, 320, 531, 4248, 19725, 267, 513, 5449, 16935, 602, 4904, 609, 5386, 3766, 11712, 454, 338, 2830, 7723, 543, 32498, 269, 634, 4712, 7727, 540, 1216, 543, 3623, 823, 748, 4224, 454, 3430, 26167, 12942, 6520, 11175, 269, 634, 4620, 5766, 1429, 545, 543, 2473, 27184, 9382, 454, 24175, 2248, 602, 519, 4224, 1031, 568, 24485, 1881, 521, 2830, 7723, 269, 634, 856, 322, 1886, 568, 6534, 454, 520, 519, 5614, 543, 519, 3135, 5526, 547, 723, 1044, 22393, 23699, 585, 454, 339, 944, 6194, 4224, 269, 3371, 267, 1004, 7318, 4224, 1793, 11274, 585, 741, 29839, 454, 663, 5679, 11474, 930, 1166, 1389, 543, 19059, 593, 3135, 269, 634, 14155, 730, 1858, 2982, 454, 338, 793, 338, 540, 2022, 31398, 3789, 531, 19717, 267, 543, 3441, 602, 20998, 454, 339, 1090, 7204, 568, 1459, 593, 1312, 12776, 923, 543, 17027, 4773, 540, 521, 2830, 7723, 563, 303, 1506, 339, 14663, 11091, 568, 5140, 543, 513, 28816, 5260, 13860, 568, 22466, 454, 2421, 519, 1541, 5874, 269, 7261, 704, 19687, 2899, 8057, 1472, 519, 5614, 2676, 24392, 789, 1100, 3476, 798, 563, 7659, 1913, 281, 5664, 12942, 6520, 267, 5614, 3135, 267, 20239, 14663, 338, 267, 24485, 1881, 454, 338, 2830, 7723, 267, 12776, 545, 2029, 563, 763, 5664, 12942, 6520, 630, 5960, 288, 264, 5614, 544, 895, 3135, 267, 6008, 523, 321, 758, 8894, 325, 517, 12888, 476, 280, 298, 305, 630, 1877, 12898, 1572, 6008, 523, 321, 758, 325, 517, 12888, 1070, 568, 593, 519, 3484, 454, 1993, 519, 1482, 2012, 593, 519, 4826, 6199, 29415, 267, 7799, 16647, 334, 19435, 454, 22829, 10117, 321, 758, 325, 517, 12888, 476, 280, 298, 305, 630, 303, 10407, 476, 272, 264, 590, 2190, 269, 6860, 269, 5780, 272, 282, 661, 2764, 269, 4962, 269, 277, 4097, 994, 263, 8993, 338, 476, 272, 1299, 476, 273, 1040, 6008, 523, 321, 758, 325, 517, 12888, 568, 8966, 538, 7799, 16647, 334, 267, 9125, 334, 8894, 5804, 519, 476, 4198, 271, 338, 27477, 267, 24085, 14155, 908, 631, 6347, 454, 338, 2572, 538, 519, 9703, 540, 3162, 4000, 18931, 513, 12776, 545, 2872, 454, 935, 8877, 1279, 19059, 267, 959, 15635, 730, 19059, 609, 1427, 31189, 454, 539, 2471, 267, 543, 1279, 796, 604, 18432, 2798, 269, 1358, 3957, 621, 1310, 519, 4884, 454, 1993, 623, 2884, 619, 7921, 630, 852, 2717, 758, 342, 2033, 1040, 623, 2884, 619, 7921, 24322, 616, 454, 331, 11343, 21246, 958, 538, 519, 5087, 540, 3162, 4000, 267, 855, 789, 723, 454, 2254, 2943, 1044, 13006, 5087, 540, 519, 7799, 16647, 334, 5211, 269, 4107, 454, 303, 2884, 619, 7921, 4609, 538, 7799, 16647, 334, 19435, 616, 23572, 610, 7725, 3559, 1562, 2676, 1492, 1655, 1634, 1373, 29190, 540, 670, 792, 2195, 630, 300, 1783, 476, 3422, 273, 267, 476, 2735, 279, 3248, 306, 10102, 517, 476, 3192, 275, 282, 16429, 743, 1515, 476, 1220, 280, 1070, 9986, 773, 2692, 1682, 17763, 677, 630, 300, 1783, 476, 3422, 273, 3248, 309, 534, 3541, 681, 22438, 476, 1220, 277, 1070, 17312, 2006, 9412, 17125, 614, 630, 303, 29888, 476, 2735, 272, 282, 28769, 23432, 454, 564, 620, 269, 476, 1001, 276, 264, 543, 631, 342, 21343, 779, 29190, 630, 307, 984, 5362, 476, 3707, 280, 282, 6341, 12121, 476, 3192, 275, 1040, 634, 454, 13449, 3135, 2349, 320, 879, 23810, 267, 513, 18574, 546, 784, 320, 2282, 681, 5622, 756, 1120, 267, 814, 1082, 454, 325, 1564, 924, 543, 21247, 924, 623, 2884, 619, 7921, 2645, 936, 2391, 2423, 17067, 12942, 454, 21848, 3283, 630, 300, 1783, 476, 3422, 273, 1040, 6271, 1930, 3135, 267, 918, 1779, 23810, 267, 849, 454, 516, 19959, 547, 723, 513, 623, 2884, 619, 7921, 2872, 267, 26857, 1152, 513, 1906, 454, 4777, 7999, 12776, 923, 630, 300, 1783, 476, 3422, 273, 264, 10838, 519, 1804, 3655, 26915, 4015, 454, 7474, 568, 1631, 1634, 547, 723, 1044, 19017, 15866, 454, 2421, 1875, 25993, 8069, 630, 295, 583, 5459, 1299, 595, 664, 476, 1220, 279, 1040, 2353, 891, 4609, 616, 454, 10964, 578, 519, 4826, 6199, 1965, 8364, 335, 618, 543, 267, 6306, 689, 918, 1779, 23810, 267, 782, 454, 17647, 3573, 9696, 5732, 4098, 538, 606, 2038, 454, 874, 848, 540, 519, 631, 6347, 610, 1256, 1354, 602, 538, 519, 2423, 17067, 12942, 6520, 563, 19853, 12776, 923, 616, 6140, 1500, 593, 7725, 12725, 2139, 538, 2450, 8894, 762, 25098, 602, 5512, 5679, 6260, 540, 1804, 267, 28608, 2472, 563, 763, 13100, 2678, 7921, 12752, 267, 607, 27057, 3989, 267, 949, 1134, 581, 513, 454, 24978, 547, 519, 8244, 540, 646, 11998, 7161, 540, 5386, 3766, 11712, 4224, 563, 300, 6973, 1670, 4162, 616, 6592, 538, 1469, 585, 29190, 540, 454, 295, 792, 2195, 267, 855, 713, 568, 711, 519, 2013, 585, 1034, 623, 2884, 619, 7921, 6080, 2676, 663, 519, 2165, 814, 1419, 1044, 1031, 29101, 267, 543, 5693, 2115, 454, 516, 9679, 269, 898, 568, 849, 2556, 547, 1353, 811, 1930, 4609, 538, 7187, 454, 21026, 4000, 547, 1294, 875, 741, 31174, 1137, 5635, 609, 519, 454, 321, 21392, 21503, 3283, 689, 13946, 543, 4224, 12062, 4609, 269, 589, 454, 516, 1417, 569, 7721, 322, 822, 730, 631, 6347, 5614, 543, 24435, 3135, 267, 24090, 330, 337, 831, 454, 16360, 1551, 2946, 1696, 620, 269, 476, 1001, 273, 282, 7982, 6202, 1696, 620, 269, 476, 1001, 275, 1070, 799, 568, 2282, 454, 300, 809, 326, 641, 784, 630, 845, 28861, 715, 629, 334, 1682, 335, 8816, 1070, 814, 8329, 547, 454, 10472, 2832, 269, 10251, 267, 519, 3735, 631, 3041, 277, 543, 631, 3041, 274, 23909, 454, 17647, 1906, 12776, 923, 269, 4107, 616, 1500, 593, 6586, 565, 924, 282, 7745, 543, 2898, 454, 4148, 1389, 616, 538, 519, 5354, 267, 4553, 676, 7745, 19059, 543, 454, 4823, 10306, 919, 267, 1082, 540, 799, 3100, 547, 581, 5969, 2645, 630, 12988, 6202, 454, 564, 620, 269, 476, 1001, 275, 1916, 290, 1511, 540, 670, 792, 2195, 630, 300, 1783, 476, 3422, 273, 267, 476, 2735, 279, 282, 6341, 12121, 476, 3192, 275, 264, 814, 513, 454, 31860, 1279, 623, 2884, 619, 7921, 5311, 269, 631, 6347, 12776, 923, 689, 645, 2644, 454, 276, 1700, 279, 1331, 5423, 23780, 267, 1279, 19059, 267, 23821, 718, 12251, 1166, 1389, 267, 543, 454, 684, 604, 18432, 543, 536, 604, 18432, 2798, 12212, 593, 18057, 325, 1564, 267, 855, 811, 454, 21865, 593, 21247, 924, 543, 543, 525, 924, 630, 300, 1783, 476, 3422, 273, 267, 476, 2735, 279, 282, 6341, 12121, 454, 3192, 275, 282, 16429, 743, 1515, 476, 1220, 280, 1040, 7043, 19059, 3006, 941, 812, 18860, 659, 8894, 339, 3293, 689, 7161, 540, 12725, 2139, 543, 525, 924, 630, 306, 514, 743, 1515, 476, 1220, 280, 1916, 302, 12340, 2692, 1682, 17763, 677, 9412, 17125, 614, 568, 1776, 631, 6347, 3135, 540, 2015, 8894, 762, 4644, 630, 300, 1783, 476, 3422, 273, 1040, 3371, 513, 623, 2884, 619, 7921, 12752, 454, 18478, 689, 535, 1564, 924, 267, 21247, 924, 267, 6939, 665, 31051, 710, 6886, 543, 454, 31053, 7723, 6772, 625, 606, 2423, 17067, 12942, 6520, 630, 2464, 288, 264, 31174, 720, 543, 454, 8974, 15533, 513, 1279, 13536, 12942, 6520, 630, 299, 6347, 264, 5311, 630, 300, 1783, 476, 3422, 273, 3248, 309, 534, 3541, 681, 22438, 476, 1220, 277, 1040, 645, 13633, 1166, 1136, 568, 851, 540, 713, 623, 2884, 619, 7921, 454, 26581, 787, 630, 300, 1783, 476, 3422, 273, 264, 607, 621, 568, 693, 519, 4505, 7799, 16647, 334, 3135, 267, 918, 644, 340, 454, 298, 641, 9225, 630, 11764, 1676, 476, 1001, 274, 1040, 631, 342, 21343, 779, 29190, 568, 2219, 547, 2270, 513, 454, 17218, 623, 2884, 619, 7921, 1500, 593, 21247, 924, 630, 307, 984, 5362, 476, 3707, 280, 282, 6341, 12121, 454, 3192, 275, 1070, 607, 568, 849, 519, 2013, 693, 918, 1779, 23810, 630, 306, 10102, 517, 476, 3192, 275, 264, 543, 454, 289, 5055, 879, 23810, 630, 300, 1783, 476, 3422, 273, 1040, 13518, 20991, 7532, 267, 519, 18057, 325, 1564, 8894, 3256, 3990, 31174, 1137, 689, 17312, 2006, 9412, 17125, 614, 723, 1279, 454, 4565, 3547, 267, 1427, 31189, 19059, 543, 28608, 796, 604, 18432, 2798, 630, 303, 29888, 454, 2735, 272, 282, 28769, 23432, 1696, 620, 269, 476, 1001, 276, 1916, 7197, 14155, 730, 631, 6347, 4609, 538, 7799, 16647, 334, 616, 2630, 519, 454, 525, 8364, 335, 618, 267, 855, 10838, 519, 1634, 3283, 593, 519, 4826, 6199, 454, 30066, 879, 267, 1141, 6008, 523, 321, 758, 325, 517, 12888, 568, 13883, 267, 568, 513, 1507, 4224, 454, 338, 3559, 614, 267, 3345, 645, 4599, 656, 630, 6124, 19934, 476, 2568, 279, 700, 305, 1070, 799, 729, 2300, 320, 8894, 341, 730, 676, 5576, 3019, 571, 611, 543, 2142, 320, 636, 2632, 630, 3422, 279, 1040, 3371, 519, 631, 6347, 454, 9873, 3162, 3979, 16329, 1670, 28743, 476, 10170, 630, 14225, 2567, 476, 9873, 1700, 13970, 267, 476, 1001, 277, 454, 21026, 3979, 16329, 1670, 28743, 476, 10170, 630, 14225, 2567, 476, 9873, 1700, 13970, 267, 476, 1001, 277, 476, 14530, 454, 4818, 9426, 540, 519, 3135, 729, 11911, 547, 513, 2048, 29557, 623, 2884, 619, 7921, 685, 2676, 663, 700, 6347, 818, 974, 30440, 941, 16626, 689, 7820, 23909, 454, 5976, 28650, 6502, 540, 5084, 476, 12010, 543, 5084, 476, 8099, 271, 269, 11709, 3541, 681, 22438, 454, 263, 1960, 279, 264, 13604, 14155, 730, 519, 1482, 12062, 543, 27366, 454, 5960, 288, 796, 604, 18432, 2798, 689, 519, 9510, 21439, 269, 589, 1906, 631, 6347, 454, 4565, 3547, 267, 513, 536, 604, 659, 6053, 5249, 1907, 543, 7745, 1448, 941, 2663, 454, 11398, 538, 513, 4224, 12062, 693, 5576, 584, 325, 17763, 677, 476, 12208, 918, 305, 593, 519, 4826, 6199, 454, 30066, 879, 630, 309, 534, 3541, 681, 22438, 476, 1960, 279, 1040, 2311, 3619, 1120, 777, 476, 13647, 918, 305, 4224, 12062, 2676, 10193, 593, 519, 29415, 267, 8709, 3541, 681, 22438, 630, 1960, 279, 264, 14155, 730, 513, 8101, 454, 5960, 288, 12776, 545, 4015, 269, 2311, 519, 3490, 267, 519, 12776, 923, 941, 3622, 454, 331, 24147, 982, 476, 2004, 6515, 543, 519, 3259, 540, 930, 21247, 924, 19059, 454, 1410, 3865, 539, 476, 5611, 6515, 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 ]
[ 514, 14882, 538, 3723, 902, 540, 4397, 4539, 269, 1548, 814, 14281, 803, 568, 602, 1354, 24317, 856, 606, 6905, 31272, 26150, 540, 3332, 594, 1185, 10924, 602, 621, 729, 519, 8467, 338, 540, 519, 3007, 1062, 602, 941, 519, 3119, 3815, 538, 519, 896, 778, 10079, 618, 540, 6743, 8584, 1123, 3214, 269, 1548, 594, 723, 4362, 568, 602, 267, 4352, 519, 3007, 1062, 814, 1732, 906, 547, 798, 267, 789, 616, 8716, 569, 10707, 538, 519, 1318, 1259, 543, 19260, 1500, 865, 2484, 723, 3366, 547, 513, 1732, 3007, 1995, 585, 3214, 543, 1799, 1155, 1004, 563, 763, 25084, 540, 519, 1764, 540, 2192, 2389, 13015, 543, 771, 23457, 23816, 2543, 593, 6044, 814, 3376, 2989, 1250, 513, 514, 2123, 17133, 538, 6935, 547, 4758, 7156, 547, 1142, 2582, 25896, 547, 1747, 2477, 540, 9651, 543, 954, 20896, 269, 634, 1279, 9434, 543, 9165, 540, 5222, 1058, 1875, 581, 23304, 12023, 269, 901, 568, 1945, 602, 594, 786, 15260, 793, 547, 4806, 543, 21028, 2429, 1250, 10912, 1247, 9301, 519, 960, 602, 594, 723, 5645, 856, 585, 713, 5098, 568, 3274, 519, 9133, 540, 519, 4672, 6199, 543, 3340, 4797, 3318, 1646, 563, 296, 21028, 602, 519, 3332, 1031, 585, 519, 703, 757, 540, 713, 5098, 729, 1875, 9488, 609, 2463, 547, 519, 1641, 855, 1644, 4481, 547, 519, 6968, 3044, 543, 1382, 14374, 269, 4329, 1382, 949, 5512, 20991, 21774, 547, 581, 6591, 538, 6935, 547, 1808, 954, 20896, 602, 1131, 856, 4777, 1489, 519, 3929, 543, 7180, 7569, 540, 6743, 8584, 1123, 3214, 1759, 593, 741, 2025, 2833, 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 ]
[ 1747, 6745, 1248, 18045, 1341, 1582, 269, 3430, 871, 6831, 944, 6658, 1477, 1038, 952, 1582, 711, 538, 1747, 269, 13765, 318, 523, 12562, 6769, 2018, 1747, 269, 13765, 318, 523, 12562, 6910, 4311, 10142, 825, 1219, 1491, 4671, 1248, 4311, 267, 1747, 8029, 1038, 5727, 763, 681, 23124, 786, 21686, 883, 8396, 952, 621, 568, 2111, 547, 543, 519, 3845, 1063, 621, 543, 519, 6345, 568, 3152, 982, 922, 1847, 3432, 269, 19227, 267, 621, 786, 946, 922, 3339, 3350, 547, 1205, 883, 2039, 269, 1403, 519, 6345, 568, 711, 538, 2039, 543, 621, 666, 1405, 1847, 267, 519, 681, 23124, 786, 18178, 513, 2490, 269, 4495, 538, 2039, 267, 21506, 1038, 519, 678, 23124, 786, 4323, 952, 621, 568, 2111, 547, 610, 952, 711, 267, 786, 4159, 513, 5048, 543, 18178, 513, 2490, 27969, 1477, 1038, 1253, 815, 1582, 269, 6570, 910, 1747, 269, 16651, 269, 6570, 1477, 1038, 1820, 14052, 1038, 952, 1253, 3436, 1582, 269, 9792, 6769, 2018, 952, 1253, 910, 476, 272, 3436, 1582, 6230, 913, 5334, 32497, 543, 1582, 269, 4754, 8548, 913, 6769, 3546, 1582, 6155, 1662, 263, 2897, 3418, 2018, 8640, 1253, 910, 476, 272, 10922, 1582, 6230, 913, 5334, 32497, 543, 1582, 269, 4754, 8548, 913, 6769, 3546, 1582, 6230, 913, 263, 2897, 3418, 2018, 3116, 6769, 3546, 1820, 2891, 262, 31161, 618, 16546, 593, 3579, 6658, 269, 1796, 2421, 262, 14744, 1038, 8640, 1253, 10922, 1582, 269, 9792, 6769, 2018, 952, 1582, 269, 4754, 318, 3430, 871, 6769, 3546, 1582, 269, 3430, 871, 263, 2897, 3418, 2018, 3116, 6769, 3546, 1820, 2891, 262, 2419, 1622, 1177, 16546, 593, 3579, 6658, 267, 1796, 2421, 262, 257, 10142, 825, 1219, 6749, 9078, 2393, 4311, 267, 1747, 8029, 1038, 5727, 291, 28979, 782, 519, 561, 2393, 538, 519, 2009, 561, 2393, 1592, 18851, 1477, 1038, 585, 6221, 538, 1582, 4877, 6372, 9078, 2393, 6769, 2018, 1747, 7456, 2393, 6910, 16216, 1998, 263, 14403, 264, 10142, 825, 1219, 2638, 4311, 267, 1747, 8029, 1038, 5727, 10267, 4242, 952, 519, 21686, 543, 4323, 3579, 23957, 616, 2944, 543, 952, 865, 267, 5036, 741, 9757, 1630, 1961, 753, 547, 6936, 27969, 1477, 1038, 952, 1747, 6745, 1248, 18045, 13843, 1582, 269, 3430, 871, 6831, 3300, 6769, 2018, 1582, 269, 4754, 318, 3430, 871, 815, 6936, 1477, 1038, 952, 1747, 6745, 1248, 18045, 13843, 1582, 6155, 1662, 6831, 3300, 6769, 2018, 1582, 269, 4754, 8548, 913, 815, 6936, 1477, 1038, 952, 1582, 269, 4754, 8548, 913, 543, 1582, 269, 4754, 318, 3430, 871, 6769, 2018, 1747, 269, 13765, 318, 523, 12562, 31927, 4311, 3418, 17264, 1477, 5035, 932, 24147, 263, 5319, 5519, 8029, 825, 5727, 2419, 1173, 619, 616, 3684, 14763, 602, 616, 5393, 2241, 269, 23850, 607, 10464, 543, 5372, 762, 7221, 267, 891, 14763, 1847, 547, 741, 3077, 607, 3728, 607, 789, 666, 543, 1033, 517, 622, 2933, 267, 3927, 9117, 899, 11980, 17177, 1499, 269, 1358, 723, 1100, 6161, 585, 741, 1378, 3106, 610, 602, 540, 741, 7404, 21506, 825, 16167, 269, 16270, 2669, 267, 789, 1011, 1712, 543, 4308, 3441, 547, 4896, 267, 1519, 16167, 267, 593, 519, 1482, 22739, 607, 873, 269, 1358, 723, 1985, 547, 1100, 24915, 543, 5420, 1072, 5916, 609, 513, 1164, 1847, 3432, 269, 21964, 519, 9949, 1491, 2490, 1505, 540, 519, 2037, 5519, 1362, 267, 3001, 2509, 519, 6345, 610, 22215, 952, 789, 616, 21506, 825, 538, 2039, 27969, 1477, 825, 2012, 815, 834, 2419, 24147, 29177, 825, 6370, 318, 6050, 815, 22373, 262, 5319, 5519, 8289, 539, 267, 818, 2719, 1033, 29396, 3926, 262, 2580, 834, 262, 7336, 657, 1161, 2215, 539, 262, 2580, 834, 262, 2419, 1173, 532, 18545, 262, 2580, 834, 262, 16920, 1549, 782, 4559, 267, 932, 24147, 10024, 8396, 262, 2580, 834, 262, 16605, 707, 3845, 267, 932, 24147, 11439, 262, 257, 15947, 825, 2669, 318, 6050, 815, 22373, 262, 291, 17662, 908, 3926, 262, 2580, 834, 262, 5591, 835, 666, 7639, 713, 16411, 262, 2580, 834, 262, 5472, 16167, 267, 932, 24147, 16411, 31873, 262, 257, 15947, 825, 2009, 9078, 2393, 815, 1496, 15680, 341, 3042, 318, 1301, 528, 267, 3282, 15947, 825, 3684, 815, 6936, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 1072, 284, 4649, 267, 24915, 284, 736, 267, 3441, 284, 2004, 267, 2039, 284, 272, 267, 1847, 5334, 32497, 284, 274, 8029, 1038, 2037, 5519, 14857, 8181, 9191, 1345, 267, 1072, 267, 24915, 267, 3441, 267, 2039, 267, 1847, 5334, 32497, 10142, 825, 1219, 4323, 4311, 267, 1747, 8029, 1038, 5727, 763, 932, 24147, 1011, 3941, 267, 7231, 1875, 24915, 22815, 1424, 3441, 547, 519, 6345, 269, 2353, 16167, 616, 849, 8697, 676, 519, 1482, 2179, 269, 7053, 267, 519, 932, 24147, 781, 1378, 3614, 675, 1505, 568, 1572, 267, 14874, 621, 689, 519, 2361, 27969, 1477, 1038, 1820, 2891, 346, 271, 348, 1011, 3941, 267, 7231, 2715, 272, 348, 2798, 540, 3441, 547, 3025, 2282, 621, 256, 2668, 8971, 4311, 20508, 267, 1582, 6155, 600, 720, 17903, 1038, 1820, 14052, 1038, 1747, 269, 16651, 23357, 329, 675, 263, 2897, 267, 1582, 6155, 600, 720, 267, 8771, 3418, 1038, 1820, 14052, 1038, 1582, 23357, 329, 675, 263, 2897, 267, 1582, 269, 8234, 267, 6936, 10142, 825, 1219, 4894, 4311, 267, 1747, 8029, 1038, 5727, 6524, 519, 29789, 568, 6569, 267, 621, 786, 3441, 782, 16167, 593, 519, 1482, 5544, 607, 621, 27969, 1477, 1038, 2037, 5519, 31927, 4311, 267, 1747, 3418, 1038, 16167, 815, 1496, 343, 585, 1535, 538, 1747, 269, 523, 12562, 952, 1535, 269, 6570, 2652, 1582, 269, 6570, 543, 1535, 568, 711, 1582, 15947, 1038, 585, 24343, 538, 16167, 6769, 2018, 1820, 14052, 2018, 24343, 23357, 329, 675, 263, 2897, 267, 1582, 6155, 600, 720, 267, 8771, 10142, 5035, 22542, 318, 16215, 263, 293, 539, 3130, 318, 305, 604, 548, 2006, 8029, 825, 5727, 763, 3803, 20148, 540, 519, 10724, 6997, 338, 568, 513, 18634, 22542, 5149, 267, 513, 18634, 8773, 5921, 547, 4196, 607, 513, 2964, 1242, 10682, 585, 1480, 7980, 269, 31035, 689, 875, 621, 5654, 267, 519, 22542, 5149, 31136, 899, 1022, 2834, 29461, 2006, 267, 18530, 575, 1066, 3547, 543, 20590, 693, 519, 6345, 609, 741, 3532, 8097, 7841, 30516, 602, 666, 593, 581, 17991, 1169, 824, 2490, 269, 634, 22542, 1770, 849, 11438, 513, 30618, 609, 513, 31139, 540, 1614, 28862, 267, 799, 568, 2111, 547, 14477, 10880, 6753, 1369, 513, 1978, 3845, 689, 519, 6345, 269, 7053, 267, 519, 22542, 5149, 666, 1289, 2390, 513, 6292, 540, 7816, 20473, 602, 616, 1142, 2111, 547, 2285, 621, 476, 1015, 24605, 1169, 2490, 952, 621, 568, 593, 519, 1482, 5544, 607, 519, 22542, 5149, 269, 1452, 19025, 1293, 607, 14763, 543, 616, 1360, 4617, 267, 3362, 10032, 676, 519, 6345, 269, 634, 22542, 5149, 11438, 2185, 7816, 19025, 593, 621, 269, 634, 22542, 5149, 814, 1164, 1072, 543, 5420, 24915, 27969, 1477, 825, 2012, 815, 834, 22835, 5149, 29177, 825, 6370, 318, 6050, 815, 22373, 262, 5319, 5519, 19481, 267, 3001, 538, 585, 519, 18966, 262, 2580, 834, 262, 22835, 5149, 3001, 883, 6370, 262, 2580, 834, 262, 296, 993, 519, 533, 4883, 12386, 540, 2577, 2435, 262, 2580, 834, 262, 2791, 786, 581, 2165, 3990, 262, 2580, 834, 262, 20776, 19810, 585, 513, 2656, 1439, 262, 2580, 834, 262, 22835, 14027, 262, 2580, 834, 262, 22835, 2502, 3077, 262, 257, 15947, 825, 2669, 318, 6050, 815, 22373, 262, 291, 600, 720, 1657, 555, 1862, 628, 11611, 1862, 300, 755, 9505, 1055, 30918, 2465, 324, 2114, 267, 861, 344, 344, 22438, 2465, 2114, 1862, 294, 717, 717, 717, 594, 594, 594, 594, 1133, 4512, 4512, 527, 1055, 2993, 4512, 710, 262, 257, 15947, 825, 2009, 9078, 2393, 815, 1496, 686, 582, 318, 1301, 528, 267, 24519, 14067, 574, 267, 24519, 14067, 574, 267, 575, 1066, 1228, 267, 575, 1066, 1228, 267, 575, 1066, 1228, 267, 3282, 267, 3282, 267, 3284, 318, 2459, 334, 316, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 1072, 284, 6110, 267, 24915, 284, 5611, 267, 3441, 284, 2412, 267, 2039, 284, 275, 267, 1847, 5334, 32497, 284, 273, 8029, 1038, 18966, 318, 305, 604, 548, 2006, 14857, 8181, 9191, 1345, 267, 1072, 267, 24915, 267, 3441, 267, 2039, 267, 1847, 5334, 32497, 3418, 1038, 1582, 269, 11034, 532, 318, 8234, 815, 1072, 1477, 1038, 1582, 3052, 1066, 3547, 815, 476, 276, 1477, 1038, 1582, 269, 10517, 4202, 815, 476, 273, 1477, 1038, 1582, 269, 4754, 318, 10517, 1515, 815, 6936, 1477, 1038, 1582, 6230, 1170, 850, 318, 31709, 815, 476, 273, 1477, 1038, 1582, 6230, 1170, 850, 318, 743, 13831, 815, 476, 274, 1477, 1038, 1582, 6230, 1170, 850, 5091, 600, 720, 815, 476, 1789, 1477, 1038, 1582, 6230, 1170, 850, 6831, 944, 6658, 815, 476, 274, 1477, 1038, 1582, 6230, 1170, 850, 6831, 3300, 815, 476, 271, 1477, 1038, 1582, 269, 4754, 8548, 1170, 850, 815, 6936, 1477, 1038, 1582, 269, 4754, 318, 3430, 871, 815, 6936, 1477, 1038, 1582, 269, 3430, 871, 6831, 3300, 815, 476, 271, 5897, 825, 1219, 1289, 318, 10517, 1515, 4311, 267, 1747, 8029, 1038, 5727, 2691, 519, 22542, 5149, 568, 1970, 593, 1072, 267, 621, 666, 1289, 538, 1079, 7816, 20473, 602, 267, 1247, 4617, 267, 616, 1142, 2111, 547, 7816, 519, 1770, 676, 476, 1015, 24605, 829, 2490, 602, 519, 20473, 568, 593, 519, 1482, 1747, 607, 519, 22542, 5149, 269, 901, 1505, 1152, 838, 1177, 985, 513, 20473, 5196, 519, 1747, 543, 519, 20473, 782, 519, 28472, 7954, 568, 17411, 585, 538, 519, 20473, 781, 1362, 269, 1879, 838, 27681, 538, 519, 20473, 267, 1118, 2386, 547, 849, 512, 5930, 621, 547, 519, 22542, 5149, 27969, 1477, 1038, 1820, 2891, 262, 5719, 1943, 532, 7816, 4559, 262, 14744, 1038, 585, 1535, 538, 2039, 263, 271, 267, 476, 273, 8029, 2018, 20473, 815, 29766, 318, 7804, 821, 14052, 2018, 1747, 14491, 318, 523, 5519, 5560, 337, 821, 3418, 2018, 20473, 269, 6570, 815, 1582, 269, 6570, 1477, 2018, 20473, 6745, 5930, 4311, 3418, 1038, 1582, 269, 4754, 318, 10517, 1515, 267, 1582, 269, 10517, 4202, 815, 8771, 267, 1582, 269, 10517, 4202, 910, 476, 272, 1477, 1038, 952, 1582, 711, 538, 1747, 269, 13765, 318, 523, 12562, 6769, 2018, 1747, 269, 13765, 318, 523, 12562, 6910, 4311, 10142, 825, 1219, 3046, 14141, 4311, 267, 1747, 8029, 1038, 5727, 8794, 922, 23828, 30618, 267, 519, 22542, 5149, 568, 2111, 547, 14477, 4584, 513, 1978, 1297, 540, 9634, 1369, 513, 1978, 8953, 540, 519, 6345, 781, 5544, 543, 3595, 28862, 693, 873, 269, 1403, 519, 6345, 568, 538, 1022, 540, 519, 14477, 5697, 9634, 267, 789, 1491, 3441, 269, 3550, 547, 5173, 519, 4831, 543, 2490, 519, 666, 23828, 14487, 547, 8771, 27969, 1363, 1477, 1038, 9634, 815, 4351, 26716, 7860, 263, 9792, 32384, 263, 271, 267, 1747, 269, 16651, 269, 6570, 910, 1582, 6230, 1170, 850, 318, 31709, 1070, 1295, 263, 2897, 269, 16651, 269, 6570, 1341, 1582, 6230, 1170, 850, 318, 31709, 1341, 476, 272, 267, 1747, 25915, 1341, 476, 272, 24270, 737, 284, 1345, 6230, 1170, 850, 318, 743, 13831, 3418, 1038, 1820, 2891, 262, 17442, 684, 4221, 23828, 3046, 14141, 693, 3984, 3796, 267, 782, 16167, 1590, 1796, 2312, 262, 14744, 1038, 942, 4732, 2748, 263, 272, 269, 276, 3418, 1038, 1820, 14052, 1038, 1582, 20481, 318, 8663, 14141, 263, 2897, 267, 9634, 3418, 1038, 942, 4732, 2748, 263, 273, 3418, 1038, 1820, 14052, 1038, 952, 1747, 269, 16651, 269, 6570, 538, 9634, 6769, 2018, 1820, 2891, 262, 307, 13759, 5734, 262, 14744, 2018, 1820, 14052, 2018, 1747, 269, 16651, 23357, 329, 675, 263, 2897, 267, 1582, 6230, 1170, 850, 5091, 600, 720, 267, 8771, 3418, 1038, 3116, 6769, 2018, 1820, 2891, 262, 29309, 539, 3077, 267, 973, 531, 2320, 908, 2832, 262, 14744, 1038, 1582, 269, 4754, 8548, 1170, 850, 267, 1582, 6230, 1170, 850, 6831, 3300, 815, 8771, 267, 1582, 6230, 1170, 850, 6831, 944, 6658, 1341, 1747, 6745, 1248, 18045, 1477, 1038, 952, 1582, 711, 538, 1747, 269, 13765, 318, 523, 12562, 6769, 2018, 1747, 269, 13765, 318, 523, 12562, 6910, 4311, 10142, 825, 1219, 1397, 318, 8663, 14141, 4311, 267, 1747, 267, 9634, 8029, 1038, 5727, 4537, 3298, 14839, 540, 519, 1747, 855, 18788, 782, 14763, 543, 5716, 593, 519, 6041, 269, 8307, 2982, 519, 6753, 6098, 585, 519, 3046, 14141, 609, 513, 1804, 2473, 269, 1975, 1824, 568, 513, 1592, 540, 2512, 625, 585, 519, 9634, 602, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12236, 616, 2808, 2475, 290, 4559, 543, 1860, 32031, 538, 519, 1482, 6073, 269, 1717, 267, 18246, 6030, 616, 711, 6035, 585, 2489, 2069, 5491, 269, 4841, 4309, 2834, 2475, 290, 5491, 543, 949, 4019, 2883, 5351, 543, 25689, 547, 519, 19496, 543, 1032, 3292, 4330, 1934, 269, 634, 19496, 543, 1032, 3292, 2143, 2630, 616, 6035, 998, 519, 16910, 985, 1057, 8433, 540, 744, 2091, 553, 5525, 8259, 789, 616, 4857, 607, 1373, 6035, 676, 519, 7788, 28086, 3427, 585, 9442, 543, 4750, 1143, 269, 7490, 3643, 519, 16910, 985, 1057, 8433, 540, 744, 2091, 553, 5525, 4092, 538, 570, 1653, 8065, 630, 8025, 295, 1070, 18740, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20329, 1108, 540, 16241, 15232, 538, 5771, 257, 607, 851, 540, 834, 24719, 13316, 1315, 9099, 5525, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 1012, 4197, 7982, 335, 1886, 698, 566, 543, 9751, 538, 22532, 17978, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 8849, 5121, 267, 2519, 593, 519, 2035, 540, 1394, 335, 1886, 698, 566, 543, 2866, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 1174, 875, 513, 8849, 3060, 16137, 689, 1239, 543, 875, 649, 666, 2268, 922, 2773, 269, 2913, 781, 2253, 2439, 2162, 7982, 335, 1886, 698, 566, 692, 12988, 335, 1886, 698, 566, 568, 513, 1505, 1031, 547, 5721, 8849, 5121, 269, 898, 3322, 12719, 519, 13506, 540, 519, 2530, 1599, 609, 2463, 547, 519, 12035, 540, 519, 3060, 585, 513, 2582, 3403, 13050, 1584, 1383, 267, 543, 3257, 865, 7561, 267, 7429, 513, 14255, 633, 1463, 19106, 780, 4131, 781, 2736, 713, 1524, 1384, 272, 269, 2878, 299, 1601, 1599, 4995, 901, 568, 513, 2268, 540, 875, 1134, 519, 8849, 3060, 568, 3257, 269, 898, 19776, 519, 3060, 781, 11236, 547, 519, 4890, 2418, 269, 634, 3804, 568, 547, 7413, 713, 1599, 780, 273, 269, 2878, 294, 2784, 1304, 4995, 901, 568, 513, 6152, 602, 2798, 538, 519, 4287, 540, 519, 6574, 2557, 540, 2333, 540, 513, 1599, 269, 769, 824, 1913, 267, 621, 6645, 721, 875, 1454, 519, 2530, 1599, 786, 1689, 952, 649, 1689, 519, 12035, 513, 2370, 3787, 780, 274, 269, 2878, 2171, 2074, 4995, 1452, 616, 519, 6724, 540, 519, 8849, 3060, 602, 649, 4188, 1282, 2866, 269, 1358, 3313, 519, 4222, 540, 519, 4296, 1063, 11409, 780, 763, 1394, 335, 1886, 698, 566, 5690, 3322, 1079, 1292, 3268, 1384, 272, 269, 2878, 2690, 1189, 1780, 4995, 634, 3060, 2306, 922, 11236, 563, 273, 269, 2878, 12988, 1189, 1780, 4995, 634, 3060, 4188, 338, 922, 12035, 1759, 593, 519, 5470, 540, 922, 11236, 780, 4131, 781, 1413, 693, 513, 3009, 6256, 602, 15824, 519, 18807, 1780, 1384, 3499, 7090, 454, 9707, 815, 5286, 31715, 263, 30135, 5091, 12265, 267, 1582, 269, 30135, 5157, 7481, 30135, 5091, 12265, 815, 5470, 9078, 9707, 2608, 1582, 269, 1457, 29719, 15058, 5334, 31451, 263, 16059, 338, 14728, 7481, 1345, 269, 30135, 5157, 910, 476, 272, 316, 20699, 5286, 31715, 263, 16059, 338, 14728, 910, 476, 272, 4940, 31412, 12759, 263, 16059, 338, 14728, 910, 476, 272, 25818, 476, 272, 13211, 4449, 23526, 12035, 5091, 12265, 1040, 307, 2608, 1582, 269, 14048, 318, 3433, 454, 329, 20699, 476, 272, 454, 7884, 2080, 267, 2387, 30135, 5091, 12265, 319, 568, 519, 13506, 540, 519, 2530, 1599, 609, 2463, 547, 519, 12035, 267, 543, 2387, 1345, 269, 30135, 5157, 910, 476, 272, 316, 319, 568, 519, 2597, 5119, 585, 519, 2387, 328, 268, 272, 319, 628, 4494, 269, 634, 12035, 616, 8242, 676, 18946, 519, 1587, 540, 519, 3977, 540, 519, 3105, 4494, 267, 519, 1098, 2821, 540, 519, 13506, 267, 543, 519, 1565, 2557, 780, 2162, 9751, 513, 22532, 8416, 692, 32086, 513, 8849, 3060, 3322, 8023, 621, 1239, 543, 14577, 922, 12035, 547, 7413, 519, 2530, 1599, 269, 901, 568, 2944, 12055, 8271, 936, 513, 1297, 540, 22184, 338, 780, 2080, 781, 513, 3009, 6256, 602, 14884, 513, 8849, 3060, 1384, 3499, 7090, 454, 3698, 5721, 4311, 267, 1239, 267, 23200, 284, 1911, 271, 267, 2845, 18989, 2187, 825, 952, 2845, 912, 1038, 1820, 3488, 32086, 1862, 5073, 825, 5721, 9078, 1601, 815, 7183, 454, 825, 585, 552, 538, 2039, 263, 3438, 725, 2187, 1038, 11378, 815, 11713, 1038, 2953, 7272, 9438, 687, 815, 11713, 1038, 585, 3403, 14067, 520, 267, 2953, 7272, 9438, 538, 1239, 912, 2018, 1582, 269, 3724, 7272, 1886, 17601, 18828, 15126, 9272, 14067, 520, 1070, 5286, 15126, 6262, 8091, 7272, 9438, 4917, 2018, 11378, 6910, 18828, 15126, 9272, 14067, 520, 4917, 2018, 2953, 7272, 9438, 687, 6910, 18828, 15126, 6262, 8091, 7272, 9438, 4917, 1038, 952, 2845, 912, 2018, 5721, 9078, 1601, 815, 1582, 6230, 572, 4311, 4877, 9438, 18828, 15126, 9272, 338, 1040, 307, 1070, 5286, 15126, 6262, 8091, 7272, 9438, 687, 4917, 2018, 19523, 14714, 323, 719, 22182, 18692, 3546, 27719, 337, 18776, 281, 15079, 9077, 9751, 2530, 281, 15079, 2668, 8971, 19304, 263, 1911, 2608, 552, 1315, 10581, 263, 3438, 725, 4297, 11468, 275, 3910, 1193, 6025, 1778, 9078, 1601, 264, 11468, 276, 28413, 825, 952, 2845, 912, 1038, 19523, 14714, 323, 719, 22182, 18692, 2018, 27719, 337, 18776, 281, 476, 1911, 9077, 9751, 2530, 281, 2715, 4153, 333, 291, 821, 26142, 333, 14826, 2668, 8971, 19304, 6025, 1778, 9078, 1601, 264, 11468, 276, 28413, 7884, 1103, 713, 3009, 267, 2387, 11907, 319, 568, 513, 1592, 540, 3403, 13050, 1584, 8424, 269, 1280, 1142, 6292, 267, 519, 3060, 2306, 513, 12605, 543, 1287, 4188, 338, 922, 12035, 1210, 1394, 335, 1886, 698, 566, 269, 634, 2387, 30221, 9078, 1601, 319, 568, 519, 1611, 16302, 5470, 630, 5960, 292, 264, 1063, 519, 3060, 781, 11236, 543, 519, 4890, 17016, 269, 901, 568, 513, 2268, 540, 875, 1134, 519, 3060, 568, 3257, 780, 2162, 6399, 8293, 1563, 18438, 630, 5960, 292, 2020, 763, 1611, 16302, 5470, 630, 5960, 292, 264, 568, 513, 1455, 2530, 1599, 585, 9695, 2042, 269, 898, 3800, 519, 3328, 16302, 3017, 1063, 519, 4890, 543, 10567, 2418, 269, 634, 4542, 585, 9049, 292, 568, 1384, 16465, 5960, 292, 815, 1422, 2765, 346, 272, 2410, 333, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 630, 344, 10983, 910, 1422, 1002, 26635, 20731, 328, 8203, 273, 454, 9681, 3602, 1269, 333, 259, 568, 519, 1297, 540, 5439, 267, 1269, 344, 10983, 259, 568, 519, 4890, 1871, 267, 543, 4399, 1002, 26635, 20731, 328, 259, 568, 519, 10567, 1871, 780, 2162, 4804, 15580, 692, 763, 1565, 2557, 568, 513, 5409, 12407, 2678, 602, 11887, 875, 1454, 519, 12035, 616, 14661, 1282, 2866, 269, 589, 1164, 1565, 2557, 1522, 2014, 519, 2203, 547, 27721, 1932, 3533, 547, 513, 1016, 9953, 2711, 3070, 267, 1247, 513, 1970, 1565, 2557, 1522, 2014, 519, 2203, 547, 1491, 1932, 1279, 547, 27721, 547, 519, 6099, 3070, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4312, 4121, 827, 1394, 335, 1886, 698, 566, 543, 2866, 538, 8849, 5121, 269, 1284, 4312, 2938, 875, 519, 12035, 540, 513, 8849, 3060, 616, 14661, 547, 7413, 519, 2530, 1599, 267, 543, 875, 649, 666, 2268, 519, 2773, 540, 513, 8849, 3060, 1210, 519, 1611, 16302, 5470, 269, 1284, 4312, 849, 4121, 827, 519, 1565, 2557, 543, 922, 2956, 538, 2866, 513, 8849, 3060, 780, 1103, 519, 1985, 1770, 267, 649, 3513, 2263, 811, 4359, 3584, 538, 8849, 5121, 267, 971, 607, 2834, 1436, 543, 11938, 6620, 269, 13773, 22934, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 9707, 815, 5286, 31715, 263, 30135, 5091, 12265, 267, 1582, 269, 30135, 5157, 7481, 4848, 453, 30135, 5091, 12265, 815, 5470, 9078, 9707, 2608, 1582, 269, 1457, 29719, 15058, 5334, 31451, 263, 16059, 338, 14728, 7481, 4848, 19677, 269, 30135, 5157, 910, 476, 272, 316, 20699, 5286, 31715, 263, 16059, 338, 14728, 910, 476, 272, 4940, 31412, 12759, 263, 16059, 338, 14728, 910, 476, 272, 25818, 476, 272, 13211, 20930, 20930, 4848, 453, 30135, 5091, 12265, 1040, 307, 2608, 1582, 269, 14048, 318, 3433, 454, 4848, 453, 329, 20699, 476, 272, 692, 22592, 5721, 4311, 267, 1239, 267, 23200, 284, 1911, 271, 267, 2845, 18989, 2187, 453, 14851, 2845, 912, 4848, 13537, 3488, 32086, 1862, 5073, 453, 453, 30221, 9078, 1601, 815, 7183, 454, 453, 22610, 552, 538, 2039, 263, 3438, 725, 2187, 4848, 453, 6358, 338, 815, 11713, 4848, 453, 322, 8091, 7272, 9438, 687, 815, 11713, 4848, 22610, 3403, 14067, 520, 267, 2953, 7272, 9438, 538, 1239, 912, 15235, 19677, 269, 3724, 7272, 1886, 17601, 18828, 15126, 9272, 14067, 520, 1070, 5286, 15126, 6262, 8091, 7272, 9438, 4917, 15235, 453, 6358, 338, 6910, 18828, 15126, 9272, 14067, 520, 4917, 15235, 453, 322, 8091, 7272, 9438, 687, 6910, 18828, 15126, 6262, 8091, 7272, 9438, 4917, 4848, 14851, 2845, 912, 15235, 453, 30221, 9078, 1601, 815, 1582, 6230, 572, 4311, 4877, 9438, 18828, 15126, 9272, 338, 1040, 307, 1070, 5286, 15126, 6262, 8091, 7272, 9438, 687, 4917, 15235, 453, 338, 903, 14714, 323, 719, 22182, 18692, 20930, 453, 257, 315, 337, 18776, 281, 15079, 9077, 9751, 2530, 281, 15079, 2668, 8971, 19304, 263, 1911, 2608, 552, 1315, 10581, 263, 3438, 725, 4297, 11468, 275, 3910, 1193, 6025, 1778, 9078, 1601, 264, 11468, 276, 28413, 453, 14851, 2845, 912, 4848, 453, 338, 903, 14714, 323, 719, 22182, 18692, 15235, 453, 257, 315, 337, 18776, 281, 476, 1911, 9077, 9751, 2530, 281, 2715, 4153, 333, 291, 821, 26142, 333, 14826, 2668, 8971, 19304, 6025, 1778, 9078, 1601, 264, 11468, 276, 28413, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 1373, 3957, 7705, 945, 3357, 689, 1776, 4541, 269, 2701, 1185, 1175, 8452, 593, 3047, 543, 6785, 4986, 827, 3425, 610, 875, 789, 2170, 539, 609, 1142, 824, 543, 519, 1604, 269, 1306, 1352, 8268, 1200, 1007, 10450, 267, 1352, 16686, 2390, 513, 3561, 1572, 513, 834, 14737, 1968, 13870, 19457, 15716, 257, 1063, 1079, 6105, 910, 519, 6554, 540, 519, 13372, 543, 513, 2754, 1572, 12476, 5450, 1023, 25115, 8249, 15278, 630, 289, 12613, 13612, 1040, 901, 6876, 4847, 645, 12613, 13612, 547, 9553, 585, 6886, 538, 513, 1978, 1858, 538, 5385, 585, 4687, 930, 540, 1018, 789, 1265, 609, 519, 2229, 780, 8334, 9289, 267, 834, 1432, 616, 891, 1412, 2381, 5644, 262, 286, 1215, 798, 3425, 3489, 873, 8119, 2991, 11287, 585, 513, 1247, 267, 1352, 4121, 602, 6886, 941, 2200, 1336, 6923, 1369, 519, 3047, 781, 12933, 269, 18972, 1031, 1585, 2409, 547, 1349, 891, 3407, 2326, 689, 519, 2666, 269, 769, 713, 2013, 267, 645, 12613, 13612, 1131, 581, 20857, 909, 8407, 899, 7601, 543, 13058, 780, 3719, 7705, 4166, 7691, 602, 5599, 2238, 666, 1860, 519, 1604, 11874, 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 ]
[ 698, 3653, 666, 581, 32419, 607, 513, 851, 538, 519, 7011, 1782, 540, 1646, 2872, 2326, 267, 7777, 2694, 267, 543, 13354, 2164, 269, 28038, 513, 5137, 1899, 585, 519, 556, 6748, 540, 1793, 698, 543, 11935, 3884, 1406, 1175, 513, 5827, 1935, 547, 1201, 5024, 8733, 12526, 1107, 2705, 666, 26483, 5094, 538, 2883, 5383, 563, 1607, 10522, 602, 519, 3390, 540, 15175, 3282, 268, 32558, 730, 1379, 10473, 936, 4625, 547, 2196, 593, 2706, 5386, 2666, 5755, 666, 581, 3927, 12306, 1312, 538, 1249, 543, 22265, 569, 269, 5272, 1367, 2013, 585, 7004, 11129, 547, 14013, 581, 2322, 998, 513, 2361, 2389, 6479, 4640, 267, 1519, 513, 7463, 2689, 540, 519, 18493, 1807, 10591, 267, 543, 519, 12880, 2883, 25896, 563, 10112, 31757, 519, 7145, 454, 21328, 7145, 1869, 909, 538, 519, 2011, 676, 1818, 606, 6514, 609, 519, 9276, 540, 4492, 3282, 2534, 630, 1721, 1383, 519, 5571, 9276, 1070, 1996, 519, 6905, 9276, 540, 3001, 519, 5604, 779, 2534, 547, 2706, 5386, 5755, 630, 1492, 5571, 9276, 267, 538, 1840, 547, 519, 13258, 540, 3063, 10591, 1040, 1677, 1118, 891, 10526, 585, 519, 2095, 3790, 267, 621, 5205, 602, 519, 9276, 540, 519, 2095, 538, 1532, 340, 3539, 540, 4492, 3282, 11129, 547, 581, 9916, 1996, 519, 9276, 540, 9140, 5755, 267, 538, 1840, 547, 519, 3063, 1379, 3790, 3361, 538, 519, 11493, 1062, 269, 23883, 14126, 827, 713, 2063, 4781, 1942, 267, 621, 17188, 547, 2015, 519, 3375, 540, 11493, 17102, 538, 519, 26149, 540, 922, 5122, 13345, 3790, 269, 898, 11974, 856, 547, 4444, 8800, 609, 519, 1034, 4389, 1648, 2324, 9276, 269, 5047, 267, 1247, 20604, 909, 519, 3903, 547, 1689, 689, 4492, 3282, 547, 2706, 5386, 5755, 267, 519, 2534, 540, 10962, 519, 3063, 10591, 2838, 585, 1376, 540, 519, 2706, 5386, 5755, 1058, 581, 1928, 560, 1136, 569, 2219, 540, 563, 763, 3440, 12051, 585, 11493, 2706, 5386, 5755, 568, 4909, 269, 901, 4990, 540, 5755, 2275, 337, 5241, 15333, 1632, 547, 1118, 1166, 30100, 4492, 568, 2688, 3320, 9674, 883, 513, 1906, 28944, 269, 2836, 332, 11314, 20405, 11831, 12518, 960, 609, 513, 4838, 3432, 540, 476, 1626, 268, 2537, 11642, 909, 1142, 4090, 269, 16797, 11314, 6226, 4809, 8621, 1067, 5517, 1559, 723, 513, 6198, 3432, 540, 476, 276, 3445, 547, 476, 280, 3199, 11642, 909, 1142, 4090, 282, 543, 972, 616, 11338, 23839, 17029, 2401, 12518, 799, 22141, 693, 476, 2412, 547, 476, 4281, 11642, 909, 1142, 4090, 269, 634, 3349, 540, 2706, 5386, 5755, 7452, 9715, 568, 9944, 267, 20314, 550, 593, 519, 2186, 540, 8800, 13603, 563, 30761, 14941, 15327, 616, 8246, 585, 11493, 16320, 2350, 924, 543, 3787, 6058, 748, 5755, 609, 513, 4393, 6198, 9165, 540, 18016, 476, 272, 269, 272, 543, 1970, 16132, 2838, 5386, 11493, 630, 277, 2507, 476, 278, 4939, 1040, 2201, 519, 1055, 4960, 602, 519, 19020, 2707, 1570, 547, 581, 9268, 16621, 930, 4527, 540, 7510, 1679, 16247, 4492, 630, 909, 547, 9501, 3436, 476, 277, 4939, 3738, 1287, 1175, 3440, 15327, 666, 581, 8246, 563, 295, 600, 1067, 15327, 616, 8246, 585, 6960, 543, 4158, 5755, 540, 3622, 1164, 17674, 1464, 630, 309, 326, 3436, 476, 1789, 4939, 30155, 8469, 1756, 17029, 2401, 5517, 1559, 616, 8246, 585, 11493, 1071, 1023, 609, 513, 4393, 6198, 9165, 540, 1945, 899, 476, 272, 269, 272, 654, 335, 543, 5848, 1145, 540, 1945, 899, 476, 1626, 4939, 267, 609, 513, 11935, 1543, 540, 1945, 899, 1488, 476, 1789, 4939, 454, 15761, 571, 10434, 2264, 4397, 585, 12419, 519, 2706, 5386, 5755, 4492, 912, 338, 638, 14414, 5755, 12062, 454, 31467, 7452, 6633, 518, 454, 332, 1393, 22865, 11160, 7695, 454, 1399, 874, 3019, 7452, 6392, 454, 763, 1898, 7744, 585, 23072, 519, 7463, 1689, 1478, 568, 547, 5486, 656, 14427, 543, 24482, 1085, 656, 4492, 3282, 1107, 3622, 8246, 585, 519, 1376, 543, 16369, 540, 27307, 538, 5755, 268, 32558, 730, 3636, 2030, 26925, 1107, 543, 2417, 3467, 547, 5486, 656, 5714, 4492, 3282, 538, 26925, 269, 12983, 540, 13075, 7607, 6292, 609, 2067, 17185, 11129, 547, 896, 12340, 5079, 585, 1818, 519, 1689, 1478, 269, 15021, 27307, 666, 1118, 909, 851, 610, 519, 3003, 540, 519, 8781, 1062, 538, 11100, 609, 1114, 7221, 267, 543, 3091, 18175, 24612, 4398, 585, 22865, 8800, 7258, 11081, 538, 4492, 13345, 1247, 2870, 1648, 998, 27307, 3157, 267, 7258, 513, 1732, 4110, 540, 22619, 1465, 543, 1625, 3101, 538, 519, 7766, 10612, 9362, 563, 763, 853, 668, 332, 1662, 2088, 2030, 538, 6341, 4673, 20205, 543, 12857, 782, 540, 519, 5892, 5018, 543, 6700, 12204, 540, 3440, 17524, 543, 12051, 17102, 1107, 607, 1134, 607, 3819, 619, 267, 1159, 553, 1667, 267, 29650, 267, 14324, 29777, 543, 3021, 2209, 269, 853, 668, 332, 1662, 2088, 814, 1044, 2870, 4096, 762, 1379, 6721, 8800, 4098, 1472, 476, 3707, 273, 269, 10801, 602, 942, 267, 519, 13055, 814, 1044, 2781, 553, 6804, 569, 8325, 2287, 922, 5647, 543, 2298, 1852, 1107, 18867, 8744, 827, 853, 668, 332, 1662, 2088, 779, 5920, 593, 519, 1158, 2344, 585, 2413, 8800, 269, 634, 3919, 779, 4274, 5234, 616, 2673, 676, 547, 2709, 741, 16252, 538, 4058, 543, 9140, 8800, 267, 607, 1134, 607, 4758, 4487, 7463, 5583, 543, 25380, 693, 1142, 5123, 540, 519, 1544, 267, 1305, 5346, 267, 5169, 543, 2534, 540, 519, 10591, 789, 3132, 563, 1805, 668, 332, 1662, 2088, 779, 20348, 10312, 525, 454, 12749, 7240, 4313, 1107, 6341, 4673, 568, 513, 2101, 6283, 4099, 1448, 13883, 538, 20195, 14901, 269, 634, 7841, 8905, 521, 573, 902, 616, 1271, 585, 853, 668, 332, 1662, 2088, 779, 7233, 5748, 269, 20837, 2823, 8244, 3947, 16134, 540, 3060, 547, 2342, 543, 674, 5914, 5607, 563, 15307, 28344, 618, 2359, 630, 1410, 9151, 633, 4971, 936, 875, 8800, 543, 5137, 3515, 616, 5189, 543, 771, 6312, 3481, 994, 272, 1341, 1032, 10018, 454, 5970, 606, 14374, 610, 991, 513, 3948, 286, 1403, 621, 779, 711, 1932, 1454, 8373, 267, 979, 6619, 543, 28651, 721, 256, 0, 297, 1115, 543, 27858, 616, 513, 1455, 7154, 540, 6283, 10150, 676, 1082, 1004, 1472, 519, 1158, 269, 1717, 267, 835, 3390, 602, 814, 30174, 936, 519, 1296, 568, 519, 1761, 8594, 15054, 676, 5017, 2458, 4575, 609, 891, 8484, 269, 5080, 29418, 267, 32062, 798, 711, 723, 6177, 3625, 619, 8704, 267, 6028, 1082, 547, 4898, 1946, 713, 568, 519, 2013, 563, 763, 2009, 4128, 3297, 519, 9000, 540, 6177, 3625, 619, 593, 32062, 666, 581, 11911, 547, 513, 4999, 540, 2188, 269, 17616, 267, 519, 1942, 543, 23250, 540, 7598, 971, 513, 1062, 593, 782, 8484, 1131, 581, 8101, 269, 634, 10380, 540, 6177, 3625, 619, 1131, 2154, 12381, 547, 519, 9224, 13409, 543, 2599, 703, 1389, 267, 799, 1223, 1291, 547, 513, 1713, 2333, 538, 5663, 543, 5826, 3790, 269, 3958, 267, 519, 1840, 540, 6177, 3625, 619, 949, 849, 1764, 519, 7098, 19392, 540, 519, 8484, 267, 5732, 7133, 922, 2773, 269, 25392, 891, 2188, 267, 621, 3587, 7805, 1946, 2011, 6050, 723, 1044, 11688, 26938, 547, 1902, 538, 971, 513, 2029, 563, 11101, 267, 519, 7145, 540, 6177, 3625, 619, 814, 849, 1044, 513, 1641, 540, 7521, 269, 2755, 621, 568, 3020, 602, 6177, 3625, 619, 666, 5732, 2569, 519, 1981, 540, 6177, 16716, 267, 789, 949, 711, 581, 18174, 16513, 269, 20002, 616, 3810, 26227, 7068, 543, 666, 23603, 998, 1507, 5624, 267, 1818, 621, 2352, 547, 4625, 2061, 741, 7127, 883, 519, 2599, 610, 824, 2565, 2127, 540, 519, 8484, 269, 3958, 267, 5017, 1223, 849, 581, 13631, 547, 519, 6177, 3625, 619, 2933, 267, 3056, 547, 606, 2799, 24539, 585, 873, 547, 1935, 519, 8484, 269, 1452, 2188, 3565, 547, 519, 10462, 4478, 519, 16566, 540, 6177, 3625, 619, 607, 513, 6325, 3070, 563, 5194, 3815, 602, 4249, 513, 1909, 538, 519, 3668, 540, 6177, 3625, 619, 593, 32062, 568, 519, 4540, 3800, 2907, 538, 1747, 547, 2061, 6177, 16716, 269, 5794, 7964, 1472, 519, 1158, 2308, 1585, 12485, 547, 15658, 5017, 689, 16042, 8484, 267, 1519, 519, 946, 540, 10978, 21089, 267, 6177, 27214, 2130, 3457, 267, 543, 23881, 935, 787, 269, 1452, 2409, 723, 8810, 547, 581, 2500, 538, 1034, 2665, 267, 4227, 519, 10171, 540, 6177, 16716, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 891, 2409, 616, 711, 18174, 16513, 543, 666, 3006, 581, 16283, 538, 15658, 2590, 5017, 563, 1103, 3932, 267, 519, 9000, 540, 6177, 3625, 619, 593, 32062, 666, 581, 11911, 547, 513, 4999, 540, 2188, 1519, 1942, 267, 23250, 267, 7145, 267, 543, 4540, 3800, 269, 2755, 6177, 3625, 619, 949, 3100, 899, 513, 9266, 3070, 547, 2569, 519, 1981, 540, 6177, 16716, 267, 741, 6388, 13514, 3875, 2591, 543, 24604, 269, 5794, 6050, 543, 19633, 8128, 3136, 547, 4225, 6177, 10880, 6604, 998, 14595, 1797, 267, 971, 607, 14139, 6177, 27214, 2130, 2553, 543, 7598, 7453, 5464, 5773, 269, 1306, 2029, 27372, 543, 1007, 7760, 616, 1500, 267, 519, 7872, 540, 6177, 3625, 619, 4742, 513, 3044, 4183, 593, 32062, 3112, 581, 4625, 12199, 856, 269, 1717, 267, 2394, 1287, 267, 519, 18229, 2872, 786, 3136, 547, 7048, 593, 4540, 3800, 547, 11574, 519, 1981, 540, 6177, 16716, 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 ]
[ 476, 3066, 815, 476, 271, 269, 4510, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1724, 257, 543, 1297, 273, 2652, 834, 1789, 13426, 4848, 13537, 2891, 1724, 1315, 476, 1789, 815, 476, 271, 269, 6246, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1724, 257, 543, 1297, 273, 2652, 834, 4029, 13426, 4848, 13537, 2891, 1724, 1315, 476, 4029, 815, 476, 271, 269, 6078, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1724, 257, 543, 1297, 273, 2652, 834, 3953, 13426, 4848, 13537, 2891, 1724, 1315, 476, 3953, 815, 476, 271, 269, 2412, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1724, 257, 543, 1297, 273, 2652, 834, 3451, 13426, 4848, 13537, 2891, 1724, 1315, 476, 3451, 815, 476, 271, 269, 4375, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1724, 257, 543, 1297, 273, 2652, 834, 4097, 13426, 4848, 13537, 2891, 1724, 1315, 476, 4097, 815, 476, 271, 269, 4343, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 272, 13426, 4848, 13537, 2891, 1691, 1315, 476, 272, 815, 476, 1691, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 273, 13426, 4848, 13537, 2891, 1691, 1315, 476, 273, 815, 476, 278, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 274, 13426, 4848, 13537, 2891, 1691, 1315, 476, 274, 815, 476, 275, 269, 5780, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 275, 13426, 4848, 13537, 2891, 1691, 1315, 476, 275, 815, 476, 274, 269, 276, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 276, 13426, 4848, 13537, 2891, 1691, 1315, 476, 276, 815, 476, 273, 269, 279, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 277, 13426, 4848, 13537, 2891, 1691, 1315, 476, 277, 815, 476, 273, 269, 3451, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 278, 13426, 4848, 13537, 2891, 1691, 1315, 476, 278, 815, 476, 273, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 279, 13426, 4848, 13537, 2891, 1691, 1315, 476, 279, 815, 476, 272, 269, 4037, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 280, 13426, 4848, 13537, 2891, 1691, 1315, 476, 280, 815, 476, 272, 269, 4649, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1015, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1015, 815, 476, 272, 269, 275, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1556, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1556, 815, 476, 272, 269, 2767, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1321, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1321, 815, 476, 272, 269, 1626, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1724, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1724, 815, 476, 272, 269, 5881, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1691, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1691, 815, 476, 272, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1428, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1428, 815, 476, 271, 269, 11152, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1626, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1626, 815, 476, 271, 269, 9262, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1704, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1704, 815, 476, 271, 269, 11025, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1240, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1240, 815, 476, 271, 269, 6507, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 866, 13426, 4848, 13537, 2891, 1691, 1315, 476, 866, 815, 476, 271, 269, 10463, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 736, 13426, 4848, 13537, 2891, 1691, 1315, 476, 736, 815, 476, 271, 269, 278, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2641, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2641, 815, 476, 271, 269, 5780, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2420, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2420, 815, 476, 271, 269, 8287, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2537, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2537, 815, 476, 271, 269, 2568, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2190, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2190, 815, 476, 271, 269, 6812, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1839, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1839, 815, 476, 271, 269, 6321, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2918, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2918, 815, 476, 271, 269, 7871, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2767, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2767, 815, 476, 271, 269, 7906, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 2764, 13426, 4848, 13537, 2891, 1691, 1315, 476, 2764, 815, 476, 271, 269, 276, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 3066, 13426, 4848, 13537, 2891, 1691, 1315, 476, 3066, 815, 476, 271, 269, 4366, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 1789, 13426, 4848, 13537, 2891, 1691, 1315, 476, 1789, 815, 476, 271, 269, 5379, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 4029, 13426, 4848, 13537, 2891, 1691, 1315, 476, 4029, 815, 476, 271, 269, 3393, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 3953, 13426, 4848, 13537, 2891, 1691, 1315, 476, 3953, 815, 476, 271, 269, 6246, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 3451, 13426, 4848, 13537, 2891, 1691, 1315, 476, 3451, 815, 476, 271, 269, 5655, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1691, 257, 543, 1297, 273, 2652, 834, 4097, 13426, 4848, 13537, 2891, 1691, 1315, 476, 4097, 815, 476, 271, 269, 6078, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 272, 13426, 4848, 13537, 2891, 1428, 1315, 476, 272, 815, 476, 1428, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 273, 13426, 4848, 13537, 2891, 1428, 1315, 476, 273, 815, 476, 278, 269, 276, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 274, 13426, 4848, 13537, 2891, 1428, 1315, 476, 274, 815, 476, 276, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 275, 13426, 4848, 13537, 2891, 1428, 1315, 476, 275, 815, 476, 274, 269, 4037, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 276, 13426, 4848, 13537, 2891, 1428, 1315, 476, 276, 815, 476, 274, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 277, 13426, 4848, 13537, 2891, 1428, 1315, 476, 277, 815, 476, 273, 269, 276, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 278, 13426, 4848, 13537, 2891, 1428, 1315, 476, 278, 815, 476, 273, 269, 1691, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 279, 13426, 4848, 13537, 2891, 1428, 1315, 476, 279, 815, 476, 272, 269, 9262, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 280, 13426, 4848, 13537, 2891, 1428, 1315, 476, 280, 815, 476, 272, 269, 5780, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1015, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1015, 815, 476, 272, 269, 276, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1556, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1556, 815, 476, 272, 269, 3607, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1321, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1321, 815, 476, 272, 269, 1839, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1724, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1724, 815, 476, 272, 269, 1428, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1691, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1691, 815, 476, 272, 269, 5881, 543, 1287, 4440, 811, 2338, 7329, 330, 1775, 1705, 621, 676, 1688, 907, 23528, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1428, 13426, 4848, 13537, 2891, 1428, 1315, 476, 1428, 815, 476, 272, 269, 271, 5602, 453, 453, 19197, 1297, 272, 2652, 834, 1428, 257, 543, 1297, 273, 2652, 834, 1626, 13426, 4848, 13537, 2891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 561, 28449, 267, 849, 4122, 1572, 519, 5639, 4216, 267, 568, 606, 1418, 538, 519, 8405, 540, 27738, 267, 20641, 267, 5017, 267, 543, 11864, 3238, 538, 7244, 267, 3280, 2504, 267, 543, 7863, 519, 30439, 320, 1996, 1426, 8321, 566, 269, 634, 561, 28449, 8075, 519, 13047, 27871, 543, 6354, 12885, 12334, 543, 4320, 563, 4322, 2592, 540, 519, 561, 28449, 941, 9676, 609, 519, 24211, 30663, 271, 295, 661, 7032, 12071, 2803, 12412, 5843, 2675, 2100, 1210, 519, 23514, 9953, 1731, 17726, 2473, 307, 11759, 276, 476, 276, 803, 8615, 18920, 17209, 8254, 563, 290, 2194, 3293, 1210, 519, 13138, 3951, 290, 6882, 563, 290, 2194, 3293, 1210, 519, 28218, 290, 6882, 563, 1607, 3239, 729, 2813, 1210, 1312, 540, 519, 1657, 2592, 269, 634, 23514, 9953, 1731, 4273, 4910, 12650, 675, 1160, 3301, 2636, 2592, 547, 581, 30305, 269, 1411, 666, 1451, 811, 827, 519, 2934, 540, 519, 3301, 1934, 269, 0, 763, 824, 1554, 267, 589, 629, 529, 8452, 538, 519, 4928, 804, 583, 4221, 1945, 538, 1010, 1688, 269, 834, 296, 1336, 930, 5452, 2437, 646, 5143, 721, 563, 2171, 9289, 1018, 4829, 789, 3357, 689, 563, 20442, 1223, 1413, 538, 513, 1433, 2437, 6700, 570, 20207, 563, 257, 3891, 666, 798, 519, 1382, 543, 1265, 621, 2437, 26858, 8815, 563, 20442, 1223, 1205, 824, 5452, 799, 596, 917, 1018, 789, 616, 2437, 3459, 2725, 724, 3534, 269, 834, 2252, 621, 781, 2147, 267, 1287, 649, 3513, 917, 621, 781, 519, 1482, 4799, 257, 7775, 646, 666, 4444, 5452, 543, 2638, 952, 789, 616, 519, 1482, 2437, 1767, 20961, 337, 3316, 334, 563, 20442, 1223, 2307, 589, 629, 529, 1018, 646, 9428, 538, 1010, 4677, 2437, 1767, 932, 331, 4141, 269, 10251, 589, 629, 529, 7012, 1405, 2111, 547, 2995, 721, 713, 269, 834, 11039, 596, 1223, 979, 1394, 543, 1413, 2437, 1352, 5143, 1864, 563, 307, 520, 10005, 6700, 267, 834, 2171, 1223, 2307, 1864, 1018, 2030, 646, 1336, 621, 2282, 4799, 257, 7775, 646, 1223, 2307, 1010, 3237, 2437, 1767, 1744, 8643, 563, 257, 28646, 4147, 476, 273, 321, 6487, 2437, 6700, 14780, 18081, 563, 288, 695, 18115, 267, 8746, 5639, 10398, 539, 909, 693, 713, 3942, 269, 834, 2171, 1058, 2030, 873, 2437, 621, 1767, 16119, 269, 834, 296, 1589, 649, 1131, 1265, 856, 1018, 519, 2030, 568, 952, 649, 12630, 873, 2437, 3746, 2213, 7338, 563, 4517, 865, 649, 1705, 563, 8170, 1576, 649, 1522, 723, 547, 7227, 513, 1279, 942, 547, 1265, 856, 519, 2626, 282, 32139, 1185, 4362, 4505, 593, 538, 519, 1554, 267, 602, 930, 4054, 1491, 1082, 1296, 547, 1332, 907, 2483, 5475, 513, 2417, 3787, 540, 2625, 532, 267, 621, 7140, 856, 602, 589, 629, 529, 1336, 1010, 5452, 3833, 2282, 547, 1141, 1010, 11078, 729, 4189, 513, 4062, 540, 4829, 32465, 0, 5804, 922, 5748, 676, 31217, 19332, 538, 476, 2767, 536, 6983, 4318, 1421, 519, 4936, 7276, 4718, 513, 12402, 547, 1521, 519, 17169, 607, 513, 10143, 1373, 269, 901, 7613, 729, 9444, 4625, 2229, 13684, 6862, 7357, 513, 21245, 909, 16946, 540, 20174, 689, 519, 1004, 540, 519, 10504, 269, 634, 2820, 514, 1436, 540, 519, 17169, 729, 1152, 13148, 20328, 609, 519, 7503, 540, 519, 10504, 547, 8567, 563, 20606, 639, 5128, 3710, 593, 2609, 538, 519, 4505, 4341, 540, 1010, 11515, 25840, 19332, 267, 945, 519, 4936, 14130, 10294, 513, 5601, 2022, 21065, 3585, 609, 31217, 779, 3310, 269, 6145, 25840, 267, 31217, 3576, 519, 3504, 2140, 540, 533, 2632, 1057, 343, 12366, 639, 267, 8783, 17308, 540, 519, 4936, 1533, 267, 513, 2140, 602, 7766, 900, 30752, 1131, 849, 1491, 607, 851, 540, 741, 5604, 563, 1607, 568, 5812, 609, 31217, 779, 2489, 2259, 540, 1210, 10643, 2901, 7254, 794, 539, 676, 4936, 2245, 610, 5266, 16434, 267, 971, 607, 19036, 1186, 267, 610, 1101, 12504, 269, 31217, 779, 12081, 4718, 519, 5748, 540, 17633, 540, 834, 305, 727, 543, 31217, 257, 2429, 519, 10504, 269, 2859, 17633, 540, 31217, 7639, 982, 540, 1022, 824, 17169, 267, 1519, 519, 1152, 11440, 17633, 1336, 3544, 519, 6302, 540, 519, 10504, 563, 763, 1381, 6976, 547, 519, 2713, 31217, 729, 811, 899, 602, 540, 12325, 543, 1829, 716, 832, 982, 602, 540, 519, 4890, 10971, 543, 729, 3226, 2178, 538, 519, 5259, 5101, 267, 1141, 621, 3710, 593, 5259, 543, 14033, 8109, 5389, 540, 14610, 1381, 338, 563, 4913, 267, 1310, 1010, 2669, 538, 476, 1691, 524, 4318, 269, 519, 4936, 14130, 19801, 2820, 639, 31217, 267, 10143, 31217, 267, 1851, 519, 10971, 540, 519, 4936, 1533, 630, 31742, 532, 519, 30675, 540, 25840, 1040, 1703, 568, 849, 2963, 585, 1381, 338, 540, 824, 2818, 540, 1010, 1920, 563, 20606, 639, 779, 24288, 267, 570, 9200, 3780, 267, 9415, 1010, 1381, 267, 13384, 1681, 606, 4013, 17913, 11856, 267, 4352, 646, 5128, 17379, 10143, 26549, 950, 605, 742, 1229, 269, 1261, 543, 782, 7766, 900, 30752, 849, 3576, 519, 4408, 19332, 31217, 563, 763, 3791, 17169, 540, 519, 7325, 1470, 4211, 5055, 644, 1014, 1899, 267, 717, 2967, 639, 267, 610, 2836, 580, 3121, 267, 4334, 539, 609, 570, 9200, 3780, 538, 1010, 561, 755, 585, 10143, 26549, 269, 589, 561, 755, 547, 581, 6976, 10143, 26549, 1247, 1869, 9800, 2968, 513, 32616, 673, 2298, 540, 834, 21112, 257, 900, 30752, 538, 519, 12591, 540, 4936, 12206, 563, 5319, 2651, 618, 540, 513, 4666, 17169, 1851, 519, 10971, 540, 7507, 729, 606, 4013, 957, 540, 519, 14130, 543, 607, 971, 729, 513, 2797, 3948, 827, 519, 26350, 540, 519, 4666, 17169, 269, 1403, 513, 1007, 17169, 4941, 547, 11168, 15364, 267, 2348, 519, 14130, 17551, 1010, 31317, 10143, 729, 606, 2500, 1797, 563, 2252, 513, 1007, 17169, 4941, 547, 11168, 513, 8325, 2736, 609, 519, 2250, 267, 6028, 519, 4666, 17169, 3768, 324, 1881, 5280, 6494, 602, 5048, 269, 2991, 519, 2669, 540, 519, 17169, 19863, 3780, 9789, 20630, 528, 540, 6628, 12544, 15999, 11454, 267, 519, 4102, 593, 519, 6532, 267, 729, 13175, 693, 2051, 17998, 6131, 547, 519, 10143, 17169, 269, 898, 729, 2663, 10032, 676, 3703, 30280, 267, 3366, 676, 645, 3716, 545, 8619, 563, 763, 1381, 5129, 513, 1883, 1909, 538, 4936, 20655, 540, 10271, 267, 945, 941, 24016, 547, 1685, 513, 15093, 547, 519, 17169, 547, 2057, 10751, 269, 634, 1034, 9488, 20655, 540, 519, 10271, 267, 10419, 3603, 676, 519, 17169, 4144, 665, 2280, 1014, 267, 729, 851, 540, 606, 3801, 547, 7794, 519, 11440, 1381, 607, 513, 1259, 540, 796, 4328, 519, 10504, 269, 7642, 941, 2356, 23614, 689, 713, 10421, 593, 519, 2783, 602, 789, 7281, 539, 547, 741, 5601, 585, 519, 17169, 563, 13312, 665, 2280, 1014, 849, 6963, 539, 519, 7014, 4478, 519, 17169, 547, 1118, 5128, 811, 6552, 689, 8723, 1004, 267, 543, 14460, 2757, 10643, 899, 19036, 1186, 538, 3870, 540, 519, 811, 818, 5766, 656, 18067, 639, 715, 8803, 267, 610, 834, 5978, 7083, 2668, 16024, 2103, 15539, 2436, 519, 11440, 1381, 729, 17033, 2797, 267, 610, 2436, 519, 4606, 621, 859, 12097, 941, 3909, 899, 1346, 540, 519, 10971, 543, 12325, 563, 7212, 519, 11440, 1381, 9867, 14831, 3585, 1063, 4525, 267, 972, 568, 930, 2963, 602, 621, 729, 7471, 883, 2199, 3909, 1272, 269, 10871, 12205, 1223, 3442, 900, 30752, 610, 2818, 540, 519, 11440, 1920, 607, 741, 10143, 29123, 563, 5475, 519, 7503, 540, 4790, 14932, 519, 4279, 547, 8567, 267, 519, 17169, 14460, 1010, 25384, 3909, 1909, 543, 3576, 593, 513, 1007, 835, 607, 2149, 528, 543, 818, 321, 3438, 540, 519, 4168, 5783, 563, 763, 10205, 618, 540, 519, 11440, 1381, 729, 513, 3500, 1184, 282, 519, 4168, 900, 30752, 4797, 547, 946, 519, 2140, 533, 2632, 1057, 343, 12366, 639, 2394, 6182, 520, 1014, 15646, 6407, 621, 607, 851, 540, 513, 5859, 1996, 519, 25384, 1164, 18211, 7100, 540, 519, 2749, 540, 7507, 269, 1703, 616, 849, 930, 4191, 540, 519, 18094, 540, 11440, 17913, 11856, 338, 538, 519, 8772, 2540, 524, 4318, 269, 896, 4168, 900, 30752, 563, 763, 900, 30752, 2933, 941, 711, 8723, 10271, 855, 17477, 606, 608, 531, 1540, 543, 10723, 4567, 269, 634, 15116, 3909, 2990, 540, 519, 20850, 900, 30752, 267, 4171, 10643, 3769, 568, 777, 739, 20325, 267, 610, 834, 16029, 540, 519, 19980, 956, 2580, 729, 13148, 606, 18472, 689, 519, 25384, 4936, 11440, 1381, 269, 0, 300, 20047, 540, 519, 661, 4596, 19489, 1788, 723, 3812, 513, 3126, 540, 476, 276, 3609, 5618, 338, 547, 1217, 519, 2489, 1857, 827, 938, 4681, 269, 1452, 941, 1101, 4843, 693, 519, 681, 3008, 630, 16446, 324, 8835, 807, 590, 755, 31980, 767, 264, 1623, 24007, 538, 5412, 476, 1001, 277, 269, 1452, 3609, 5618, 338, 29289, 1239, 689, 476, 278, 1296, 540, 1382, 538, 519, 1533, 540, 3474, 320, 267, 9256, 8739, 20300, 543, 2825, 1239, 267, 1358, 2232, 519, 476, 276, 1739, 2127, 540, 938, 1382, 912, 1700, 634, 5222, 540, 4104, 12159, 454, 1700, 20837, 338, 543, 8933, 454, 1700, 31478, 2825, 2834, 1436, 454, 1700, 18467, 547, 4264, 8916, 454, 25387, 267, 519, 3609, 5618, 338, 616, 2139, 1152, 538, 14082, 267, 855, 519, 2296, 4528, 1058, 581, 2139, 4166, 563, 12812, 593, 519, 2592, 2630, 547, 14650, 519, 5618, 338, 269, 17968, 267, 789, 666, 581, 15600, 693, 5291, 2517, 13678, 1842, 1470, 600, 7571, 5362, 755, 31980, 767, 3820, 630, 8072, 335, 32123, 5618, 338, 685, 9184, 538, 519, 5580, 1318, 7944, 1916, 763, 661, 4596, 19489, 2319, 15548, 693, 519, 476, 6795, 628, 16316, 32600, 540, 519, 4139, 5948, 585, 17164, 566, 3163, 630, 8656, 309, 306, 1070, 799, 3576, 1747, 538, 623, 790, 333, 6759, 335, 12994, 267, 538, 519, 1533, 540, 3619, 328, 27222, 563, 294, 629, 21119, 17939, 3626, 4843, 513, 16968, 593, 3529, 32550, 2524, 267, 17381, 543, 4763, 538, 519, 9533, 11206, 15998, 630, 19989, 1934, 1070, 543, 646, 814, 849, 3812, 606, 5863, 3391, 547, 519, 3529, 2146, 538, 519, 595, 684, 3873, 6288, 585, 519, 4914, 8436, 630, 19989, 1934, 1916, 26903, 814, 3370, 606, 2376, 1291, 676, 21280, 1759, 593, 938, 5571, 1382, 538, 519, 19384, 1533, 540, 3474, 5451, 267, 538, 799, 649, 649, 8495, 519, 5222, 540, 1480, 12454, 4104, 19717, 593, 9265, 543, 1265, 11141, 2164, 281, 1256, 950, 8497, 476, 3199, 260, 4104, 3382, 267, 607, 829, 519, 19384, 11206, 8943, 267, 8916, 786, 2226, 1152, 476, 2004, 260, 540, 922, 9265, 563, 763, 2376, 814, 4607, 6266, 540, 2923, 3007, 267, 1519, 519, 1739, 2376, 538, 519, 18917, 912, 26773, 547, 3494, 602, 713, 568, 2907, 519, 476, 1015, 628, 3390, 540, 938, 20394, 8627, 3509, 7064, 547, 782, 519, 661, 4596, 19489, 2818, 585, 741, 5571, 1489, 269, 17949, 519, 2542, 2336, 763, 19384, 12139, 595, 328, 17845, 333, 25556, 11876, 16660, 267, 835, 540, 519, 2101, 2257, 23425, 17476, 538, 8478, 267, 814, 1175, 3370, 606, 2376, 676, 661, 27996, 267, 808, 4069, 267, 18578, 344, 543, 21280, 538, 799, 789, 2491, 519, 5222, 540, 17717, 543, 4104, 12159, 267, 16046, 891, 9259, 547, 1480, 2238, 971, 607, 4259, 909, 11642, 593, 6694, 3338, 610, 19883, 269, 8729, 547, 922, 2649, 1043, 543, 2502, 2511, 267, 519, 2376, 814, 519, 1761, 547, 3914, 513, 2647, 14082, 18702, 5304, 563, 12812, 2630, 547, 1224, 519, 2376, 630, 514, 14082, 2187, 8450, 519, 4989, 3390, 540, 938, 20394, 609, 519, 5767, 7835, 689, 519, 2361, 2336, 8923, 1294, 519, 5988, 3390, 540, 519, 5240, 12072, 609, 519, 10311, 689, 519, 2361, 543, 824, 3078, 1344, 827, 938, 1788, 256, 0, 763, 932, 871, 518, 1014, 8047, 568, 5461, 538, 6669, 1646, 282, 3226, 519, 946, 540, 3644, 5536, 607, 5867, 585, 18970, 4159, 269, 898, 814, 1279, 1044, 6444, 602, 3810, 10053, 16625, 26898, 971, 607, 3644, 5536, 16578, 2178, 4761, 6114, 269, 1717, 267, 811, 2487, 2090, 689, 3220, 269, 932, 871, 518, 1014, 781, 8047, 814, 7152, 602, 26898, 602, 616, 7363, 14605, 6375, 8328, 666, 581, 1500, 3810, 6375, 8328, 676, 18071, 873, 538, 513, 1617, 20884, 267, 16625, 3898, 593, 519, 2627, 540, 3644, 5536, 282, 9247, 1210, 8290, 607, 5867, 585, 10074, 269, 3220, 269, 932, 871, 518, 1014, 814, 3254, 602, 713, 2702, 547, 3986, 6375, 8328, 640, 1281, 711, 1152, 4019, 547, 13423, 8554, 6508, 689, 2757, 9072, 267, 971, 607, 13596, 267, 855, 849, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30142, 810, 267, 7548, 540, 2792, 693, 519, 9576, 24332, 4659, 540, 5303, 267, 814, 9916, 519, 2360, 540, 5769, 17320, 877, 25178, 593, 519, 4081, 2773, 540, 1164, 1153, 1053, 269, 634, 2164, 1397, 602, 1053, 945, 946, 519, 5769, 1282, 3018, 17058, 4043, 547, 723, 2539, 2542, 543, 6746, 2329, 8464, 982, 1346, 945, 946, 519, 5769, 593, 32300, 269, 634, 1353, 729, 2944, 1210, 513, 1804, 267, 25422, 11347, 3732, 563, 763, 1353, 849, 11567, 2436, 519, 2640, 540, 1210, 519, 5769, 17320, 877, 25178, 941, 2489, 14184, 269, 898, 1031, 513, 13387, 1449, 540, 4081, 2773, 269, 769, 1840, 267, 621, 2808, 4008, 267, 5198, 267, 543, 7622, 4747, 607, 2188, 602, 1223, 1860, 519, 1764, 540, 1210, 519, 5769, 563, 21122, 531, 1852, 2645, 538, 3756, 454, 8794, 15366, 1852, 2645, 538, 4950, 3756, 2337, 3237, 4383, 741, 1453, 779, 3381, 3014, 946, 269, 1452, 2645, 6615, 1453, 779, 1569, 547, 3756, 602, 616, 711, 2085, 29003, 543, 666, 849, 2061, 873, 689, 2502, 538, 2883, 8852, 1510, 741, 2385, 779, 10479, 563, 21122, 531, 1852, 2645, 616, 2139, 585, 782, 2101, 3381, 3014, 5867, 269, 1358, 666, 581, 8704, 998, 3791, 18407, 8924, 610, 593, 519, 3926, 3294, 269, 1358, 666, 849, 581, 1305, 909, 998, 519, 4950, 8502, 269, 1452, 2645, 666, 581, 1031, 547, 3970, 875, 1279, 1453, 1404, 3756, 267, 6615, 1018, 789, 666, 4647, 267, 543, 6895, 741, 4087, 563, 763, 1655, 1259, 547, 946, 15366, 1852, 2645, 568, 547, 2911, 609, 707, 1453, 269, 11109, 606, 1930, 6643, 609, 873, 2337, 596, 1451, 1018, 3457, 789, 616, 1210, 267, 1018, 789, 798, 609, 1346, 3457, 267, 543, 875, 789, 1745, 827, 1018, 789, 616, 7487, 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 ]
[ 538, 1082, 2081, 563, 5970, 596, 2479, 1558, 2576, 865, 4411, 2295, 539, 855, 2620, 1524, 596, 6785, 789, 1185, 513, 2603, 540, 4743, 286, 1703, 568, 835, 1268, 1152, 602, 666, 17412, 713, 6609, 543, 1010, 2012, 568, 667, 958, 12736, 8725, 269, 634, 1915, 667, 958, 689, 519, 3883, 968, 1492, 4934, 338, 11107, 892, 568, 1582, 1652, 1317, 646, 568, 6435, 995, 267, 11565, 18976, 267, 543, 9877, 269, 634, 3883, 968, 763, 4934, 338, 11107, 892, 568, 513, 9035, 1650, 827, 513, 14228, 1572, 519, 6067, 553, 619, 269, 1358, 13983, 553, 619, 2429, 519, 1433, 6370, 1776, 1895, 540, 3214, 1572, 519, 17502, 338, 269, 3414, 519, 1433, 972, 568, 2295, 5995, 543, 7045, 543, 596, 786, 2141, 1439, 909, 16462, 811, 269, 1306, 3254, 676, 950, 3627, 5500, 7166, 513, 1124, 267, 950, 3627, 5500, 543, 623, 3415, 24742, 2451, 547, 12404, 267, 543, 1879, 3627, 5500, 5128, 5747, 267, 901, 568, 950, 667, 958, 4951, 4191, 540, 8467, 602, 1100, 835, 2219, 646, 1185, 563, 291, 23775, 968, 291, 958, 892, 12736, 8725, 568, 513, 5963, 5863, 1915, 538, 519, 3209, 634, 4934, 338, 11107, 676, 590, 9950, 269, 670, 15586, 269, 28527, 689, 513, 7622, 1141, 646, 7012, 1406, 25374, 585, 610, 4941, 267, 646, 779, 1831, 6650, 2365, 547, 1022, 2186, 540, 3929, 10751, 269, 834, 4537, 2393, 267, 1250, 2025, 812, 1810, 1405, 2285, 513, 13793, 2436, 594, 6415, 538, 21569, 610, 4666, 538, 513, 1286, 20739, 1188, 610, 26583, 538, 519, 8937, 614, 269, 2334, 1810, 1405, 21898, 803, 9039, 1701, 630, 295, 15586, 476, 4281, 264, 2311, 2547, 267, 602, 779, 1018, 782, 519, 13983, 553, 619, 2219, 1354, 3627, 5500, 267, 519, 1152, 3364, 538, 519, 1158, 667, 958, 1185, 2479, 6068, 267, 5747, 538, 513, 6413, 5127, 689, 16398, 602, 646, 13455, 950, 646, 543, 623, 3415, 24742, 10710, 513, 1895, 540, 1453, 689, 513, 8781, 5939, 269, 834, 685, 2171, 575, 27198, 3094, 602, 4339, 9522, 697, 16224, 667, 958, 1767, 269, 3571, 5639, 729, 2182, 269, 2048, 2171, 575, 27198, 1205, 1256, 609, 519, 17502, 338, 269, 1280, 3627, 5500, 10200, 892, 630, 295, 15586, 476, 10219, 264, 3627, 5500, 779, 2669, 729, 519, 3803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31711, 5049, 676, 2623, 267, 711, 1533, 4806, 454, 1607, 24936, 558, 568, 8659, 538, 23694, 19932, 540, 5358, 5071, 543, 1065, 21242, 538, 8230, 589, 21838, 476, 1960, 276, 269, 589, 21838, 5219, 547, 621, 607, 519, 10263, 5937, 18249, 4147, 4806, 563, 763, 24936, 558, 5267, 602, 519, 2623, 540, 606, 1843, 1058, 581, 922, 10747, 8984, 269, 901, 2856, 2306, 811, 2631, 952, 649, 1349, 6000, 689, 29921, 4654, 971, 607, 595, 10030, 267, 595, 258, 543, 10084, 543, 3079, 5490, 883, 547, 519, 2150, 2988, 539, 1158, 540, 4654, 899, 9540, 339, 1779, 269, 769, 9540, 339, 1779, 267, 3615, 616, 1152, 3989, 676, 519, 2409, 602, 789, 723, 2139, 538, 519, 1857, 8818, 543, 1022, 4756, 666, 3180, 1022, 1843, 269, 901, 7512, 513, 1114, 1259, 540, 3168, 693, 1919, 269, 27014, 616, 4857, 676, 741, 1857, 8818, 543, 6114, 547, 519, 6835, 5293, 3842, 602, 8818, 269, 634, 1843, 781, 8818, 568, 4830, 540, 1022, 6388, 3877, 1369, 519, 1843, 269, 901, 7115, 568, 1271, 547, 713, 1523, 6382, 1634, 607, 10263, 20452, 4147, 5861, 976, 3187, 606, 1383, 540, 513, 2241, 23426, 1843, 585, 513, 21370, 1982, 563, 763, 4143, 4238, 1522, 581, 1847, 3528, 267, 4336, 3528, 267, 543, 2721, 269, 898, 949, 581, 6654, 693, 713, 1448, 602, 513, 2990, 568, 2877, 585, 519, 1843, 267, 855, 649, 1810, 1405, 2965, 723, 547, 1118, 513, 3375, 827, 875, 649, 786, 4558, 2990, 693, 713, 3942, 269, 1284, 666, 6430, 1018, 1239, 2497, 547, 946, 950, 519, 4170, 616, 811, 2312, 269, 1284, 949, 7227, 2394, 649, 2936, 1016, 5035, 525, 267, 971, 607, 25351, 4120, 543, 17781, 269, 1879, 649, 2936, 25351, 4120, 543, 17781, 621, 3587, 1360, 2312, 602, 835, 814, 513, 8953, 519, 824, 513, 4463, 543, 8700, 563, 1692, 649, 2936, 519, 1843, 814, 513, 1390, 1198, 593, 519, 8831, 1464, 540, 519, 1843, 269, 3962, 3375, 1500, 12857, 1978, 7687, 593, 4398, 543, 2450, 269, 7102, 1126, 540, 713, 1362, 9100, 1080, 782, 540, 891, 3664, 543, 7687, 269, 2060, 713, 538, 2247, 621, 568, 1655, 547, 1219, 518, 519, 8446, 540, 1533, 4632, 563, 28074, 899, 5071, 676, 4579, 267, 10263, 5937, 18249, 26643, 616, 2838, 547, 11886, 741, 9021, 269, 901, 10522, 602, 513, 8766, 2500, 8818, 786, 4196, 519, 1843, 543, 519, 17354, 1655, 269, 0, 3963, 798, 3983, 1919, 4755, 547, 1434, 1004, 888, 2252, 2576, 538, 1686, 2479, 6785, 519, 2626, 547, 713, 2085, 2025, 2243, 267, 1287, 15983, 621, 1590, 723, 1044, 4446, 13741, 553, 269, 4446, 13741, 553, 729, 513, 15294, 1359, 1202, 18675, 626, 1496, 15812, 476, 1428, 281, 278, 3910, 835, 945, 267, 2059, 609, 1866, 267, 729, 538, 7890, 543, 896, 4845, 540, 2669, 593, 519, 1554, 602, 267, 5103, 1010, 26454, 267, 519, 6014, 3909, 3401, 941, 10912, 585, 4906, 547, 581, 16961, 1881, 563, 2005, 729, 519, 21649, 540, 30687, 543, 513, 2688, 540, 602, 942, 4847, 519, 4936, 17294, 547, 5305, 513, 26956, 2687, 547, 519, 16858, 540, 1346, 11504, 519, 13037, 269, 1656, 865, 267, 2348, 1336, 1100, 4493, 585, 519, 10997, 1996, 4906, 267, 855, 530, 5109, 547, 4300, 848, 606, 2810, 20935, 15624, 267, 30716, 3780, 15815, 622, 4280, 1346, 10356, 799, 540, 519, 1079, 14586, 789, 4941, 1864, 547, 1305, 1863, 563, 4517, 267, 13489, 1042, 909, 547, 798, 865, 676, 519, 8783, 20577, 543, 22242, 267, 519, 2626, 519, 15624, 5795, 1864, 729, 2048, 21574, 13741, 553, 17483, 8072, 303, 30968, 1767, 547, 873, 267, 968, 10190, 1018, 4927, 594, 798, 609, 4906, 945, 568, 1572, 2441, 9495, 1358, 782, 1767, 267, 968, 4131, 1864, 581, 16961, 1881, 17373, 1656, 646, 1767, 267, 968, 3963, 286, 1548, 9409, 814, 646, 2944, 9495, 1809, 789, 22551, 539, 782, 519, 811, 267, 968, 4131, 1864, 581, 16961, 1881, 17373, 685, 1496, 31861, 476, 2767, 281, 2420, 268, 2537, 2639, 4517, 865, 621, 729, 602, 950, 1614, 2367, 941, 2663, 3366, 856, 547, 581, 13401, 267, 4446, 13741, 553, 729, 711, 22921, 1851, 873, 269, 1809, 4906, 729, 1107, 1175, 607, 30037, 1185, 10567, 7366, 540, 1296, 5892, 269, 1496, 3674, 320, 11672, 476, 7871, 281, 1321, 316, 634, 1079, 20737, 945, 941, 16961, 1881, 7258, 4906, 949, 723, 1044, 4446, 13741, 553, 685, 8284, 1202, 18675, 1235, 267, 8391, 519, 2669, 15163, 602, 267, 16944, 540, 519, 1482, 10963, 267, 4446, 13741, 553, 1185, 1044, 30992, 547, 607, 1134, 269, 2142, 602, 607, 621, 949, 267, 1018, 649, 666, 581, 2386, 11613, 2386, 540, 568, 713, 281, 593, 602, 1101, 6153, 11016, 606, 17608, 4906, 729, 562, 9229, 547, 519, 3444, 602, 1185, 5892, 1044, 5423, 585, 513, 16944, 4446, 13741, 553, 563, 27716, 3576, 4446, 13741, 553, 685, 1747, 602, 1554, 267, 12946, 519, 10751, 646, 964, 5703, 269, 4906, 11124, 585, 4446, 13741, 553, 1107, 865, 602, 4446, 13741, 553, 4769, 1406, 723, 547, 563, 3963, 1287, 798, 3983, 1919, 4755, 547, 1434, 1004, 286, 1403, 2576, 1185, 4280, 602, 540, 4446, 13741, 553, 267, 8384, 5310, 1018, 729, 2921, 1747, 267, 6148, 646, 8910, 723, 12943, 899, 713, 281, 2048, 3383, 602, 1434, 1919, 666, 4755, 547, 3983, 1004, 9957, 5221, 607, 14334, 4988, 519, 2244, 585, 1614, 1279, 3108, 602, 12784, 267, 1496, 299, 8123, 476, 2537, 281, 4510, 316, 519, 10782, 2009, 3364, 5949, 547, 519, 1655, 1268, 602, 2479, 972, 729, 269, 1656, 513, 15294, 19907, 4682, 1863, 563, 309, 527, 958, 1271, 585, 721, 547, 21028, 1498, 568, 602, 4446, 13741, 553, 29400, 2669, 543, 1373, 1305, 1863, 568, 513, 8748, 4605, 540, 519, 22258, 267, 519, 1434, 3377, 676, 799, 649, 1932, 666, 581, 10710, 269, 2353, 540, 721, 616, 16944, 540, 1945, 543, 782, 540, 721, 267, 4061, 267, 723, 513, 3902, 649, 11129, 547, 2628, 269, 1809, 15029, 519, 6426, 1318, 569, 6645, 721, 602, 2048, 1492, 13848, 540, 5609, 568, 2669, 8730, 621, 4422, 593, 547, 17551, 602, 2048, 1492, 1863, 10516, 540, 2696, 568, 18163, 1272, 538, 2441, 4906, 938, 7083, 685, 1496, 305, 30689, 476, 277, 281, 2537, 2639, 3383, 621, 7012, 1406, 1175, 4446, 13741, 553, 945, 779, 1747, 729, 3144, 676, 4906, 593, 602, 1101, 6153, 11016, 269, 4906, 8288, 593, 513, 3444, 607, 513, 12990, 585, 782, 945, 267, 21334, 532, 741, 5609, 267, 19914, 569, 3398, 519, 19807, 602, 729, 17956, 998, 4906, 685, 9384, 4716, 4758, 540, 5128, 269, 4906, 685, 2669, 17188, 519, 15163, 585, 741, 4636, 4777, 532, 1932, 267, 693, 11238, 585, 741, 5609, 543, 267, 676, 17598, 2696, 779, 991, 585, 5126, 267, 5036, 873, 1863, 689, 519, 4250, 540, 2669, 563, 7617, 568, 1946, 519, 24921, 1985, 1913, 723, 3152, 4644, 982, 789, 5497, 950, 789, 2933, 1767, 873, 269, 2991, 15815, 622, 28020, 18233, 1010, 3946, 543, 10294, 5128, 17608, 540, 17766, 4906, 685, 1973, 267, 519, 1004, 1767, 547, 1864, 454, 2108, 14367, 1973, 581, 593, 721, 543, 593, 938, 1453, 17373, 1496, 31861, 476, 2767, 281, 2918, 14073, 2662, 12241, 789, 1100, 8969, 5921, 4986, 811, 676, 741, 1913, 982, 8806, 547, 3398, 5539, 585, 1018, 729, 827, 547, 4755, 547, 4906, 267, 547, 723, 4906, 685, 1973, 2390, 873, 20192, 657, 519, 2621, 540, 519, 30687, 267, 519, 1360, 2680, 789, 1185, 2097, 547, 13243, 547, 8661, 563, 763, 8129, 540, 519, 30687, 616, 1336, 538, 519, 1433, 540, 31519, 950, 519, 12355, 1004, 941, 10437, 538, 5527, 269, 7982, 1287, 267, 607, 606, 957, 540, 27790, 593, 1346, 945, 941, 1727, 7675, 1010, 1004, 865, 21354, 267, 2696, 2366, 4557, 726, 8046, 267, 519, 2063, 540, 799, 1131, 1267, 538, 519, 2669, 540, 519, 1101, 4535, 5067, 538, 1169, 7622, 538, 519, 2244, 269, 1809, 547, 2057, 713, 12556, 9991, 593, 1010, 1004, 1932, 267, 2696, 5143, 519, 25232, 547, 26718, 513, 23758, 543, 1287, 546, 879, 321, 922, 1973, 593, 519, 14604, 540, 519, 9885, 547, 741, 5321, 269, 901, 1131, 2697, 1346, 10820, 602, 8659, 2696, 779, 1004, 543, 2327, 602, 267, 950, 519, 21425, 540, 2669, 8452, 267, 646, 1131, 267, 593, 7487, 519, 1973, 267, 2048, 10139, 27492, 685, 873, 543, 22302, 741, 11317, 1010, 14686, 1295, 626, 5928, 563, 763, 2621, 540, 602, 31604, 3781, 941, 3810, 1713, 538, 519, 1686, 540, 5840, 543, 865, 621, 729, 602, 621, 729, 15422, 12422, 269, 1809, 519, 1483, 4644, 540, 30687, 729, 1018, 621, 11329, 4464, 547, 267, 547, 519, 2621, 602, 941, 1256, 1631, 1373, 5129, 856, 607, 4906, 729, 1373, 30992, 547, 2669, 269, 1280, 2947, 2395, 4505, 4906, 1185, 9411, 13243, 543, 267, 899, 519, 1082, 267, 1082, 22917, 2125, 602, 1185, 8452, 538, 519, 2749, 609, 1864, 267, 646, 1185, 2097, 538, 1931, 602, 646, 1932, 1522, 581, 1793, 4381, 1229, 1107, 711, 538, 1121, 27320, 540, 2621, 1279, 2250, 267, 855, 538, 30593, 618, 540, 873, 269, 2776, 16227, 18931, 676, 3627, 519, 23837, 607, 519, 30340, 540, 2696, 945, 1131, 1491, 2476, 519, 5609, 540, 519, 1158, 1496, 11990, 476, 272, 281, 3066, 3910, 4906, 3357, 547, 5884, 267, 711, 585, 1010, 1378, 21359, 585, 646, 729, 5609, 1652, 12312, 540, 2696, 267, 855, 585, 519, 21359, 540, 519, 1004, 267, 585, 1346, 945, 267, 609, 1010, 1973, 2390, 873, 267, 1131, 3976, 581, 838, 1563, 519, 27790, 789, 2933, 964, 5703, 269, 1280, 2696, 267, 593, 7487, 519, 1973, 540, 4906, 602, 1131, 19562, 8271, 3382, 873, 267, 1131, 3976, 581, 2111, 547, 1175, 569, 2048, 10139, 27492, 685, 519, 16944, 1317, 741, 5609, 1185, 2907, 1044, 6976, 585, 563, 3528, 6031, 2048, 16673, 1010, 1973, 581, 593, 721, 685, 519, 15624, 941, 267, 4061, 267, 711, 1152, 16153, 1154, 741, 16203, 538, 10912, 585, 4906, 547, 581, 16961, 1881, 855, 849, 7938, 9231, 569, 14344, 741, 991, 547, 1992, 2933, 540, 519, 2640, 602, 1010, 2669, 1131, 3142, 827, 269, 1656, 741, 1913, 849, 4159, 519, 6708, 540, 2696, 779, 23502, 267, 23502, 865, 1390, 602, 621, 11498, 1256, 547, 1346, 865, 1085, 1941, 995, 540, 1010, 2648, 563, 3963, 1287, 1705, 713, 3983, 3364, 4755, 547, 4906, 1107, 711, 1175, 865, 513, 1434, 3364, 1223, 4755, 547, 4446, 13741, 553, 855, 538, 1931, 602, 513, 1434, 3364, 1223, 4755, 547, 782, 945, 267, 2348, 10353, 1864, 267, 17330, 4986, 855, 18149, 31766, 269, 594, 1331, 8885, 538, 602, 1297, 269, 1306, 971, 513, 3983, 3364, 5949, 547, 4906, 538, 1931, 602, 513, 1434, 3364, 1223, 4755, 547, 803, 563, 2026, 513, 1153, 24742, 594, 11291, 13465, 519, 2025, 14914, 1728, 19282, 267, 2048, 2467, 568, 513, 3039, 14629, 2484, 2476, 9957, 12344, 596, 798, 1932, 269, 5213, 1406, 1118, 519, 12161, 1498, 540, 3206, 602, 621, 779, 513, 1453, 779, 5152, 1107, 621, 779, 711, 269, 5221, 513, 3983, 3364, 5949, 547, 4906, 865, 602, 513, 1434, 3364, 1223, 4755, 547, 596, 607, 1134, 269, 1684, 596, 3314, 519, 1913, 888, 8072, 2467, 568, 513, 3039, 14629, 2484, 2476, 2676, 719, 2515, 513, 2749, 3774, 2676, 3602, 519, 15210, 7083, 729, 16961, 1881, 2676, 15367, 5747, 547, 4688, 721, 782, 563, 2171, 949, 711, 917, 267, 649, 666, 711, 2995, 2676, 6343, 24074, 646, 1185, 547, 7703, 2676, 8117, 649, 3494, 621, 729, 585, 721, 454, 515, 8288, 543, 11124, 972, 20371, 24916, 4906, 2048, 11004, 729, 1100, 824, 1434, 2614, 547, 2628, 519, 3902, 540, 5609, 10200, 1809, 6976, 621, 646, 1705, 269, 1656, 865, 593, 6153, 11016, 267, 15029, 31366, 519, 1249, 602, 938, 5609, 13714, 730, 1010, 12955, 585, 721, 267, 649, 666, 1413, 4464, 547, 14120, 1010, 24446, 593, 14914, 4303, 267, 519, 4224, 4396, 6169, 602, 1010, 15093, 729, 6190, 547, 5150, 938, 20778, 563, 4517, 602, 779, 1946, 267, 1256, 593, 713, 1034, 28194, 995, 540, 2395, 267, 972, 3788, 513, 1747, 585, 556, 14765, 6005, 563, 1432, 5205, 568, 606, 9862, 4528, 540, 1018, 594, 11540, 2063, 6153, 11016, 269, 594, 3494, 621, 547, 581, 607, 3020, 2221, 607, 621, 729, 1287, 563, 306, 6563, 995, 267, 2943, 2141, 556, 14765, 6005, 269, 8414, 267, 2943, 2141, 8909, 563, 2026, 538, 1296, 2250, 267, 14914, 4485, 609, 7965, 11173, 547, 3295, 721, 267, 789, 2611, 513, 851, 540, 1018, 782, 938, 2729, 616, 1500, 909, 540, 269, 634, 2112, 5170, 547, 30270, 538, 12907, 267, 1082, 3136, 547, 6560, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1447, 982, 24974, 1449, 7389, 267, 865, 1810, 12728, 14214, 24149, 10634, 339, 15555, 3729, 593, 621, 1932, 1454, 952, 596, 1589, 596, 4769, 12728, 14214, 24149, 10634, 339, 798, 707, 1655, 593, 835, 540, 707, 1641, 4255, 689, 513, 2016, 4266, 269, 1548, 827, 12557, 286, 1403, 596, 12728, 14214, 24149, 10634, 516, 2921, 1641, 4255, 607, 513, 21738, 267, 621, 12728, 14214, 24149, 10634, 338, 711, 1932, 2038, 547, 6494, 707, 8464, 952, 596, 1131, 899, 547, 269, 30793, 2471, 786, 1491, 621, 607, 513, 1129, 540, 1719, 547, 4309, 8464, 689, 596, 267, 543, 596, 666, 6157, 556, 2389, 820, 519, 1641, 4255, 952, 596, 991, 547, 269, 1403, 596, 1810, 12728, 14214, 24149, 10634, 339, 556, 2389, 820, 519, 4255, 267, 596, 1522, 4688, 513, 2370, 2724, 593, 519, 7199, 3498, 1184, 952, 930, 540, 707, 3506, 2907, 723, 707, 8464, 269, 28651, 585, 519, 6801, 256, 7981, 8562, 636, 560, 1734, 281, 21444, 590, 13990, 543, 27538, 27561, 1703, 616, 7008, 6381, 538, 799, 596, 1522, 723, 547, 2628, 930, 3063, 2724, 547, 519, 5441, 8274, 267, 938, 1649, 5271, 565, 550, 13387, 4152, 28983, 267, 547, 6494, 20389, 13595, 1449, 8464, 269, 1411, 786, 723, 547, 2628, 3063, 952, 707, 8464, 723, 1044, 17723, 14214, 12953, 30755, 257, 1105, 1882, 269, 12728, 14214, 12953, 590, 13990, 616, 2895, 1882, 952, 596, 723, 21783, 1164, 1153, 543, 707, 8464, 616, 513, 1032, 610, 811, 4587, 269, 769, 713, 2013, 519, 5441, 8274, 786, 5279, 596, 513, 13927, 540, 1269, 4029, 547, 23074, 873, 267, 543, 1287, 1269, 269, 1839, 585, 1142, 3606, 18579, 269, 1924, 952, 596, 1616, 547, 6494, 2025, 8464, 547, 1079, 3506, 267, 602, 12728, 14214, 24149, 10634, 338, 1269, 4029, 1341, 1269, 269, 1839, 815, 1269, 5655, 269, 1839, 269, 1403, 707, 8464, 616, 2947, 1296, 2025, 610, 4587, 267, 789, 786, 849, 6494, 513, 4063, 547, 519, 18579, 6031, 602, 519, 8464, 949, 711, 581, 519, 1655, 6041, 540, 707, 5759, 269, 1924, 8909, 569, 952, 594, 4941, 547, 6494, 1250, 476, 1220, 279, 1641, 1449, 8464, 594, 1131, 723, 547, 2628, 606, 3063, 13927, 543, 723, 513, 2027, 4063, 2366, 609, 1250, 8464, 269, 1411, 786, 849, 723, 547, 2628, 3063, 952, 596, 1616, 547, 19060, 3146, 1636, 707, 8464, 547, 23700, 269, 1411, 1522, 798, 713, 952, 596, 616, 827, 547, 4413, 513, 21120, 543, 596, 991, 547, 1205, 8464, 856, 6789, 4338, 269, 27538, 3146, 1636, 532, 568, 9277, 547, 1205, 519, 8464, 547, 23700, 1369, 1079, 1870, 2395, 540, 707, 7662, 267, 799, 949, 610, 949, 711, 581, 5488, 982, 1175, 11488, 873, 7363, 269, 634, 3119, 3390, 1934, 568, 602, 930, 12621, 1152, 4647, 9241, 4607, 8464, 2899, 1169, 1906, 2395, 610, 2899, 513, 3018, 267, 865, 678, 5241, 519, 6060, 949, 711, 2965, 1291, 547, 519, 2852, 7487, 707, 6060, 1022, 19692, 269, 4913, 267, 952, 596, 616, 1524, 547, 519, 5911, 543, 693, 519, 4463, 540, 18418, 566, 267, 596, 1522, 1616, 547, 19060, 873, 269, 8074, 602, 596, 666, 1152, 798, 713, 585, 8464, 602, 723, 2907, 1044, 5950, 267, 865, 267, 707, 796, 2675, 1819, 4255, 4465, 12728, 14214, 24149, 10634, 339, 1205, 547, 23700, 1022, 5488, 952, 596, 19060, 269, 898, 3790, 1269, 4029, 547, 19060, 835, 1867, 267, 543, 1287, 1269, 269, 1839, 585, 1142, 3606, 1867, 630, 810, 952, 596, 19060, 1614, 5359, 547, 1614, 1114, 3506, 267, 621, 786, 1942, 1269, 4029, 1341, 1269, 269, 1839, 1341, 1269, 269, 1839, 547, 6494, 782, 1614, 5359, 1040, 7053, 267, 972, 616, 2053, 950, 19060, 8989, 568, 711, 2139, 269, 630, 14738, 1631, 267, 538, 1249, 14386, 1924, 1810, 12728, 14214, 24149, 10634, 339, 1931, 19060, 5359, 952, 519, 5441, 8274, 3081, 789, 5749, 12728, 14214, 24149, 10634, 339, 2139, 593, 741, 3896, 267, 1317, 789, 786, 1175, 1491, 707, 2724, 543, 711, 5838, 519, 8464, 538, 1079, 2395, 269, 22427, 569, 14222, 543, 5363, 6075, 3028, 267, 602, 269, 8921, 649, 3513, 2911, 827, 875, 547, 22599, 707, 8464, 952, 596, 1745, 5963, 15372, 539, 676, 707, 1449, 2773, 269, 595, 766, 1782, 20389, 13595, 4530, 590, 13990, 2913, 12728, 14214, 24149, 10634, 338, 2161, 596, 11784, 538, 519, 1647, 540, 519, 981, 543, 1810, 12728, 14214, 24149, 10634, 339, 9096, 519, 1449, 593, 942, 267, 610, 1776, 32657, 777, 4386, 268, 621, 4523, 547, 1034, 540, 721, 693, 930, 1448, 610, 1776, 269, 1411, 917, 596, 4769, 12728, 14214, 24149, 10634, 339, 798, 1134, 593, 519, 1449, 543, 596, 1810, 12728, 14214, 24149, 10634, 339, 1256, 1616, 547, 1294, 707, 1378, 8464, 267, 1577, 4805, 1577, 3506, 1294, 873, 256, 1411, 723, 1079, 3681, 281, 1948, 272, 281, 595, 30327, 2659, 590, 13990, 1411, 666, 22599, 707, 8464, 20471, 909, 547, 2433, 6795, 6751, 21180, 519, 13723, 1310, 596, 3576, 707, 1449, 4433, 1040, 8074, 602, 8259, 596, 616, 666, 576, 1782, 1813, 547, 6727, 4576, 610, 606, 3937, 5821, 267, 713, 786, 22599, 782, 540, 519, 4255, 596, 3576, 602, 1554, 268, 1169, 1641, 256, 12830, 569, 267, 621, 3112, 581, 3768, 821, 269, 1879, 707, 8464, 616, 23545, 539, 267, 789, 616, 8854, 11014, 256, 3143, 1153, 630, 528, 596, 264, 786, 2479, 1294, 873, 267, 1100, 2339, 952, 596, 1185, 5697, 3506, 585, 707, 1863, 6060, 5359, 610, 711, 269, 1948, 273, 281, 595, 30327, 2659, 24143, 18614, 1411, 723, 909, 547, 8370, 2395, 1310, 596, 1491, 519, 1449, 4433, 264, 547, 22599, 1022, 1863, 6060, 5359, 596, 723, 593, 19195, 269, 1411, 949, 1616, 547, 798, 713, 952, 596, 1589, 1152, 835, 1449, 4682, 14605, 269, 901, 1259, 267, 596, 666, 1869, 946, 519, 824, 5396, 538, 24143, 14893, 6060, 5359, 2663, 269, 10251, 267, 513, 6263, 12354, 22455, 1281, 711, 5951, 24214, 6202, 547, 707, 8464, 950, 789, 666, 576, 1194, 269, 1215, 1677, 595, 30327, 2659, 590, 13990, 1403, 596, 6430, 547, 22599, 693, 519, 1449, 4099, 267, 2307, 513, 1449, 605, 2758, 585, 513, 17723, 14214, 12953, 30755, 257, 26473, 652, 547, 595, 30327, 12728, 14214, 12953, 1106, 269, 19130, 621, 856, 543, 2132, 547, 519, 605, 2758, 1354, 596, 4734, 519, 4152, 4099, 269, 1403, 596, 6430, 547, 22599, 1310, 6028, 519, 1449, 4099, 267, 4647, 543, 6445, 856, 519, 1106, 547, 7662, 20389, 6060, 23545, 566, 269, 1411, 991, 547, 1129, 621, 267, 865, 596, 786, 991, 547, 1205, 621, 547, 519, 5441, 8274, 3842, 535, 1314, 610, 16074, 13875, 269, 1411, 666, 1205, 811, 3877, 593, 713, 1184, 593, 519, 5441, 8274, 2985, 593, 6060, 23545, 566, 269, 1411, 666, 22599, 707, 8464, 585, 1367, 4255, 1813, 547, 3937, 5821, 630, 20365, 7131, 6345, 13515, 2324, 267, 610, 707, 9498, 10523, 264, 610, 585, 513, 6727, 4576, 1282, 519, 981, 269, 769, 713, 2013, 267, 1152, 519, 6060, 585, 602, 1449, 568, 666, 576, 1194, 282, 596, 666, 1869, 1205, 707, 8464, 585, 519, 824, 4255, 596, 3576, 602, 1554, 269, 1677, 798, 713, 267, 596, 786, 991, 547, 1867, 519, 3937, 5821, 610, 4576, 1282, 519, 981, 269, 3973, 596, 786, 991, 547, 6445, 856, 513, 32369, 547, 595, 30327, 1106, 693, 519, 4152, 4099, 267, 2638, 519, 17723, 14214, 12953, 30755, 28494, 17532, 4530, 281, 3937, 5821, 12728, 14214, 12953, 4781, 630, 13433, 267, 1256, 952, 596, 12728, 14214, 24149, 10634, 516, 7210, 264, 543, 2285, 621, 547, 513, 4152, 28643, 269, 1358, 786, 1129, 621, 547, 19472, 602, 707, 3937, 630, 528, 707, 1560, 264, 8959, 596, 543, 707, 6060, 585, 1175, 602, 1449, 786, 581, 666, 576, 1194, 269, 1809, 23248, 9039, 540, 602, 786, 4755, 267, 3388, 786, 979, 12347, 267, 543, 596, 786, 6494, 856, 782, 707, 6060, 5359, 609, 6015, 256, 12834, 281, 20389, 13595, 4530, 590, 13990, 1411, 786, 1205, 2185, 1863, 6060, 5359, 585, 1169, 20389, 1641, 1449, 4266, 596, 1129, 909, 585, 269, 1411, 4465, 12728, 14214, 24149, 10634, 339, 1294, 519, 8464, 1354, 789, 1205, 2366, 547, 1153, 269, 19227, 267, 3606, 6060, 5359, 1942, 1269, 269, 1839, 829, 1867, 269, 1411, 666, 946, 24143, 14893, 593, 20389, 1641, 4255, 267, 1175, 899, 609, 519, 2834, 20389, 269, 2791, 666, 849, 19060, 3146, 1636, 610, 22599, 8464, 952, 596, 991, 547, 267, 855, 1312, 540, 1346, 3681, 1058, 581, 5402, 2808, 256, 1548, 3767, 286, 1411, 1522, 849, 581, 11842, 1018, 513, 1434, 20389, 6060, 568, 267, 1022, 1811, 269, 2913, 721, 6445, 596, 538, 609, 713, 3391, 547, 1018, 2306, 513, 1434, 20389, 13595, 4530, 6060, 269, 13667, 532, 585, 1283, 3506, 286, 6744, 856, 938, 2376, 593, 20389, 13595, 4530, 590, 13990, 585, 519, 594, 11803, 13477, 269, 2107, 6148, 596, 1175, 1616, 547, 917, 1018, 519, 3328, 6060, 585, 1142, 20389, 13595, 4530, 568, 269, 1403, 596, 2811, 2921, 519, 2834, 20389, 20471, 4166, 267, 596, 1058, 9090, 2638, 856, 938, 2347, 3391, 547, 519, 1007, 20389, 269, 901, 786, 3142, 596, 909, 547, 3432, 593, 782, 519, 1202, 543, 16080, 540, 519, 1007, 3898, 267, 799, 729, 18202, 856, 538, 4728, 256, 10261, 513, 2370, 3063, 948, 840, 6137, 585, 707, 13595, 18873, 286, 1284, 723, 519, 2872, 781, 3056, 20389, 13595, 4530, 3341, 3292, 630, 1721, 782, 1875, 25082, 13595, 18873, 1040, 29740, 676, 12370, 1178, 1091, 543, 20389, 13595, 4530, 2407, 610, 476, 4200, 628, 4939, 850, 6060, 3464, 267, 519, 1982, 16137, 707, 9342, 543, 12755, 998, 4359, 7194, 267, 1287, 2688, 3278, 707, 3341, 1982, 547, 596, 865, 602, 596, 1205, 519, 1034, 2500, 3341, 2009, 269, 6258, 811, 827, 938, 13595, 4530, 2472, 2630, 912, 293, 27518, 267, 5988, 476, 1691, 267, 476, 1708, 271, 454, 3682, 21793, 11554, 538, 5564, 12734, 30581, 910, 4828, 7151, 594, 1589, 547, 12446, 693, 513, 10853, 30230, 4771, 540, 519, 2042, 5185, 676, 803, 538, 513, 18371, 2319, 594, 991, 547, 5659, 1250, 2686, 28930, 725, 538, 519, 1769, 540, 519, 2686, 7516, 4412, 15903, 676, 2983, 1068, 670, 1993, 23264, 324, 269, 8836, 7516, 829, 1555, 547, 519, 2460, 540, 1250, 5065, 4457, 2528, 602, 1223, 581, 6027, 543, 12238, 3022, 538, 519, 1769, 540, 519, 824, 4529, 630, 295, 1993, 23264, 324, 267, 670, 1993, 23264, 324, 1299, 631, 1074, 990, 476, 1001, 271, 1040, 7905, 2983, 1068, 670, 1993, 23264, 324, 5342, 513, 2143, 2079, 3823, 875, 519, 2418, 538, 18371, 6887, 616, 6766, 676, 519, 2686, 2418, 540, 519, 2818, 7587, 5024, 519, 6887, 269, 1323, 26087, 532, 519, 4457, 2686, 7516, 786, 30140, 948, 538, 7421, 543, 16439, 3435, 547, 519, 2042, 5185, 676, 803, 538, 513, 1895, 16030, 540, 2818, 945, 941, 4457, 267, 12075, 543, 774, 9820, 269, 634, 2185, 32330, 2686, 7516, 4412, 15903, 676, 670, 1993, 23264, 324, 616, 1367, 1143, 12258, 937, 13659, 267, 24940, 1922, 655, 24100, 267, 1379, 3845, 543, 10462, 21084, 630, 295, 1993, 23264, 324, 476, 1220, 274, 1040, 5295, 20028, 25701, 547, 519, 10182, 540, 519, 1004, 538, 513, 2486, 6287, 818, 1091, 519, 1379, 13103, 4540, 538, 602, 2528, 630, 295, 1993, 23264, 324, 476, 1220, 273, 1040, 898, 11887, 519, 6708, 547, 799, 519, 1447, 3532, 2818, 538, 513, 2486, 4431, 547, 519, 1379, 16526, 1459, 538, 602, 2486, 630, 295, 1993, 23264, 324, 476, 1220, 273, 1040, 3624, 814, 5295, 20028, 1293, 540, 476, 3199, 799, 568, 9602, 1164, 630, 10481, 1068, 670, 1993, 23264, 324, 476, 1001, 273, 1040, 901, 1797, 602, 4457, 1004, 616, 6899, 609, 519, 21376, 3892, 540, 1379, 538, 741, 2486, 543, 616, 6899, 609, 519, 1249, 602, 1004, 4043, 547, 8428, 538, 519, 1379, 602, 789, 723, 693, 741, 12871, 269, 769, 519, 4457, 3906, 543, 5238, 519, 15796, 568, 11231, 538, 2474, 540, 29884, 543, 2706, 12542, 543, 972, 25864, 616, 1022, 14319, 1996, 519, 6057, 540, 1379, 759, 9285, 547, 676, 519, 2706, 12542, 269, 10572, 1143, 25701, 547, 519, 6708, 540, 1862, 901, 1557, 17613, 602, 2528, 568, 1945, 602, 568, 4121, 543, 9715, 543, 621, 5161, 540, 513, 1305, 540, 3838, 12496, 602, 616, 4121, 267, 543, 891, 12496, 1331, 1369, 741, 16084, 519, 2035, 899, 2418, 267, 8155, 543, 4978, 799, 723, 606, 10373, 3310, 593, 1804, 2516, 540, 2043, 543, 1004, 269, 16844, 4523, 547, 581, 513, 1523, 602, 568, 6626, 982, 519, 1523, 540, 2528, 269, 16844, 568, 711, 8806, 16876, 547, 513, 1268, 12728, 14214, 24149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1556, 6285, 538, 476, 1220, 272, 269, 4706, 1292, 3804, 729, 547, 24905, 548, 620, 29841, 320, 20364, 543, 3247, 22681, 2238, 538, 15787, 780, 8334, 281, 7937, 267, 594, 1294, 269, 1656, 798, 596, 917, 952, 972, 616, 1022, 2027, 2640, 585, 18884, 945, 10692, 538, 713, 2112, 2496, 7692, 281, 8786, 267, 2965, 269, 1703, 616, 930, 1390, 2640, 585, 18884, 538, 13325, 267, 1141, 649, 2661, 269, 1280, 1383, 267, 3959, 3454, 23614, 687, 616, 2016, 547, 948, 1118, 2713, 4443, 585, 873, 950, 789, 2097, 1394, 1753, 780, 8334, 281, 16296, 3454, 23614, 687, 286, 1215, 1281, 602, 960, 2496, 7692, 281, 4270, 267, 1577, 781, 2161, 513, 25982, 609, 513, 9659, 1207, 903, 513, 2777, 269, 1358, 666, 1205, 2724, 3144, 1055, 741, 3959, 9204, 1317, 540, 741, 3028, 269, 901, 2337, 873, 4688, 2724, 585, 824, 1271, 8631, 899, 1426, 610, 3782, 780, 8334, 281, 2334, 4992, 4023, 256, 1635, 519, 1259, 267, 1705, 596, 917, 1250, 11515, 6039, 538, 20491, 7736, 1005, 15213, 1932, 286, 1261, 814, 513, 2182, 942, 6972, 1631, 267, 855, 646, 1869, 13290, 547, 3251, 3742, 780, 7692, 281, 26272, 267, 594, 4769, 1405, 917, 602, 256, 1411, 1767, 707, 11515, 2729, 1934, 538, 13325, 286, 6496, 646, 4309, 1022, 2199, 2640, 1287, 2496, 8334, 281, 23010, 267, 646, 4991, 513, 4630, 652, 1737, 608, 18277, 799, 6971, 1010, 3959, 3454, 3915, 1256, 811, 2094, 646, 779, 16981, 269, 9578, 267, 646, 3085, 1406, 991, 547, 2628, 1533, 4747, 9204, 593, 1010, 4108, 27404, 269, 3733, 31225, 3081, 602, 2306, 513, 2462, 3017, 585, 741, 1920, 6578, 780, 7692, 281, 2334, 781, 5863, 256, 1924, 267, 519, 2229, 7028, 1864, 865, 646, 666, 1445, 593, 3478, 1732, 3079, 540, 20468, 827, 12014, 269, 3657, 972, 1022, 824, 2640, 602, 1860, 838, 11817, 2496, 8334, 281, 25999, 256, 1403, 513, 23947, 7575, 1813, 547, 513, 25982, 781, 4576, 610, 5945, 1644, 547, 7674, 538, 20491, 7736, 1005, 15213, 267, 789, 1810, 1405, 723, 547, 5855, 827, 9561, 32031, 2924, 538, 13325, 269, 901, 1797, 789, 4465, 1405, 3068, 2362, 24875, 12375, 610, 6336, 1569, 547, 1978, 2533, 1247, 1373, 2476, 780, 7692, 281, 5808, 320, 267, 602, 781, 7168, 5363, 256, 8729, 585, 4687, 782, 713, 1344, 267, 7705, 269, 3767, 594, 1174, 811, 827, 875, 938, 2146, 3217, 1416, 540, 18884, 945, 6039, 1282, 20491, 7736, 1005, 15213, 269, 1284, 9090, 28297, 873, 513, 2603, 2439, 8334, 281, 3143, 1966, 267, 6126, 547, 2671, 256, 2913, 781, 2141, 3314, 547, 5660, 543, 9684, 938, 12703, 12325, 8164, 2009, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 6651, 547, 519, 7454, 13325, 16076, 534, 11588, 454, 288, 2647, 2039, 540, 13325, 25982, 2640, 630, 10175, 16981, 25982, 2640, 264, 616, 2139, 547, 32433, 519, 5313, 2640, 6035, 676, 519, 772, 2529, 269, 4972, 540, 27851, 16457, 269, 1452, 3606, 2640, 543, 23614, 687, 1489, 18884, 543, 741, 3885, 538, 741, 2132, 547, 19742, 1272, 563, 301, 22022, 476, 278, 2764, 267, 1822, 18884, 2661, 538, 13325, 630, 12671, 476, 279, 260, 540, 519, 2551, 1040, 634, 16217, 21961, 3557, 568, 10583, 547, 8956, 519, 15093, 540, 1346, 945, 6039, 563, 268, 1548, 616, 519, 1655, 13325, 25982, 2640, 888, 268, 13325, 16076, 534, 11588, 585, 16296, 12525, 1401, 3319, 687, 454, 268, 4825, 9506, 27851, 13067, 652, 1737, 1401, 18277, 454, 268, 2598, 12574, 27851, 9208, 13067, 652, 1737, 1401, 18277, 454, 268, 13325, 2598, 12574, 16076, 534, 11588, 281, 590, 2403, 11154, 539, 24184, 12525, 1401, 18277, 454, 268, 13325, 2598, 12574, 16076, 534, 11588, 281, 16353, 5851, 12525, 1401, 18277, 454, 268, 13325, 16076, 534, 11588, 585, 20677, 12525, 525, 454, 268, 13325, 16076, 534, 11588, 281, 25841, 3557, 20677, 12525, 593, 13639, 20677, 454, 268, 13325, 16076, 534, 11588, 281, 1975, 1787, 1763, 19409, 28057, 454, 268, 13325, 16076, 320, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23330, 566, 7736, 1005, 15213, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 13529, 2782, 630, 1220, 272, 268, 1708, 272, 264, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 1012, 8641, 1849, 755, 1359, 609, 26993, 24717, 692, 20877, 24159, 568, 513, 2442, 4480, 1031, 547, 15652, 513, 3113, 883, 13421, 610, 2950, 267, 1141, 9136, 1369, 513, 12440, 616, 811, 5702, 1644, 547, 1142, 824, 982, 547, 9136, 538, 824, 13421, 269, 901, 666, 581, 3730, 538, 1585, 11890, 267, 971, 607, 1514, 3060, 2079, 267, 3239, 26409, 267, 543, 6915, 514, 26197, 269, 769, 713, 1837, 267, 649, 786, 2263, 519, 946, 540, 26993, 24717, 267, 513, 3113, 24159, 5690, 267, 547, 12440, 513, 10991, 3113, 780, 2162, 2776, 7528, 28987, 692, 6524, 649, 2253, 267, 1118, 2386, 596, 723, 519, 1739, 8021, 8704, 1384, 268, 2387, 23054, 326, 17311, 29699, 513, 5399, 585, 3113, 24159, 6620, 454, 268, 2387, 31596, 29699, 513, 5399, 585, 10230, 26398, 454, 268, 2387, 2675, 27251, 29699, 513, 5399, 585, 3621, 7384, 692, 2791, 666, 3888, 873, 1210, 2387, 26921, 319, 912, 8199, 26921, 3888, 3113, 326, 17311, 11885, 1085, 27251, 454, 7884, 2162, 9198, 908, 513, 16522, 4854, 8641, 692, 2414, 6542, 519, 946, 540, 26993, 24717, 267, 649, 786, 1101, 5352, 513, 10991, 3113, 1210, 519, 2387, 2675, 27251, 4732, 27785, 319, 9074, 269, 1284, 786, 1711, 513, 3113, 609, 476, 1911, 9136, 543, 476, 7742, 271, 8728, 267, 1141, 519, 8728, 616, 14477, 8655, 1063, 9136, 269, 634, 16726, 1063, 9136, 4448, 676, 606, 6316, 786, 581, 6719, 676, 513, 4351, 13735, 15304, 1297, 1063, 476, 271, 543, 476, 272, 780, 2080, 781, 519, 3009, 547, 5352, 519, 10991, 3113, 1384, 3499, 7090, 454, 5228, 3113, 326, 17311, 269, 961, 4821, 1104, 26993, 24717, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 4732, 27785, 1104, 1071, 334, 24624, 692, 11133, 5332, 3941, 815, 476, 1911, 454, 11133, 318, 539, 2471, 815, 476, 7742, 271, 454, 337, 815, 5286, 20179, 26716, 4069, 16325, 5332, 3941, 267, 2450, 284, 11133, 318, 539, 2471, 994, 322, 815, 5286, 20179, 26716, 4069, 16325, 5332, 3941, 267, 2450, 284, 11133, 318, 539, 2471, 994, 13678, 815, 5286, 20179, 20179, 5334, 2217, 4433, 1125, 284, 11133, 318, 539, 2471, 1040, 770, 4286, 18828, 269, 15615, 3953, 994, 23054, 815, 1071, 334, 24624, 9230, 13678, 267, 263, 337, 22698, 21875, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 1104, 519, 2556, 8021, 543, 1305, 519, 1297, 540, 9136, 543, 8728, 585, 938, 10991, 3113, 269, 1284, 1287, 5352, 519, 4737, 543, 6241, 17523, 585, 519, 8728, 1210, 2387, 12639, 20179, 26716, 4069, 13237, 543, 519, 16726, 2418, 1210, 2387, 12639, 20179, 20179, 5334, 2217, 13237, 269, 7053, 267, 649, 1711, 513, 23661, 5119, 6041, 540, 519, 3113, 1210, 2387, 1723, 334, 24624, 13237, 780, 2162, 10435, 519, 8641, 6641, 13240, 692, 1103, 930, 2665, 267, 621, 949, 581, 3730, 547, 2327, 602, 519, 3113, 568, 21136, 267, 1775, 4318, 1421, 519, 16726, 1063, 9136, 1269, 328, 259, 543, 1269, 329, 259, 568, 519, 1482, 607, 519, 16726, 1063, 9136, 1269, 329, 259, 543, 1269, 328, 10608, 1284, 666, 3035, 713, 676, 2921, 519, 5021, 16726, 1871, 1063, 1142, 6292, 540, 9136, 1384, 3499, 7090, 454, 3698, 1118, 318, 22131, 13240, 263, 1723, 334, 318, 3901, 2187, 825, 561, 559, 815, 1071, 334, 318, 3901, 6745, 565, 559, 4590, 825, 9343, 267, 897, 338, 815, 561, 559, 8542, 517, 14706, 4590, 825, 561, 559, 314, 3712, 338, 267, 9343, 316, 815, 561, 559, 314, 4900, 267, 897, 338, 4940, 10946, 3065, 10857, 559, 314, 3712, 338, 267, 9343, 7481, 825, 2132, 561, 559, 6745, 665, 5622, 10797, 23054, 815, 1118, 318, 22131, 13240, 14116, 1429, 994, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 6460, 519, 23661, 5119, 547, 513, 1592, 6361, 2000, 1235, 630, 299, 6579, 264, 3898, 267, 799, 2636, 585, 811, 3608, 3693, 30150, 4238, 269, 1284, 1287, 1265, 519, 1875, 25179, 2609, 543, 9337, 519, 5119, 971, 602, 519, 16726, 1063, 9136, 1269, 328, 259, 543, 1269, 329, 259, 568, 519, 5021, 540, 519, 16726, 1063, 9136, 1269, 328, 259, 543, 1269, 329, 259, 543, 519, 16726, 1063, 9136, 1269, 329, 259, 543, 1269, 328, 10608, 7053, 267, 649, 6460, 519, 5119, 1394, 547, 519, 11282, 3898, 630, 4596, 302, 6393, 2162, 1849, 755, 1359, 519, 8641, 609, 26993, 24717, 692, 3086, 602, 649, 723, 6383, 513, 10991, 3113, 543, 24458, 602, 621, 568, 21136, 267, 649, 666, 946, 26993, 24717, 547, 12440, 519, 3113, 269, 26993, 24717, 568, 513, 3113, 24159, 5690, 602, 3096, 513, 4999, 540, 2199, 543, 2518, 11938, 2553, 547, 2697, 13421, 538, 519, 3113, 780, 2080, 781, 519, 3009, 547, 12440, 519, 3113, 609, 26993, 24717, 1384, 3499, 7090, 454, 961, 4821, 815, 26993, 24717, 269, 5228, 14682, 1429, 14116, 1429, 267, 1003, 318, 1037, 338, 284, 1015, 267, 23780, 284, 274, 267, 3095, 720, 8782, 13627, 19963, 2071, 5073, 961, 4821, 17085, 13831, 4590, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 1711, 513, 2387, 17247, 24717, 319, 1843, 1210, 519, 2387, 5228, 14682, 1429, 13237, 1505, 267, 799, 3217, 519, 3113, 543, 1896, 5409, 12407, 4394, 607, 3403, 269, 634, 2387, 11133, 318, 1037, 338, 319, 9936, 23403, 519, 1297, 540, 23200, 585, 519, 5690, 267, 519, 2387, 13990, 319, 9936, 23403, 519, 1297, 540, 17765, 23780, 547, 946, 267, 543, 519, 2387, 15062, 720, 319, 9936, 23403, 519, 3095, 720, 21205, 547, 946, 585, 26399, 13421, 780, 2171, 1287, 1289, 519, 2387, 743, 13831, 13237, 1505, 547, 1685, 519, 24159, 780, 2162, 22718, 519, 11778, 692, 5475, 24159, 519, 3113, 267, 649, 666, 5659, 519, 2164, 676, 8228, 519, 12440, 10467, 267, 2497, 267, 543, 5180, 1344, 1384, 3499, 7090, 454, 2745, 263, 961, 4821, 269, 817, 793, 906, 15405, 2745, 263, 961, 4821, 14714, 4450, 15405, 2745, 263, 961, 4821, 269, 1037, 263, 273, 4917, 7884, 763, 2387, 817, 793, 906, 13237, 1505, 7024, 513, 1592, 540, 12440, 10467, 585, 1142, 6843, 538, 519, 3113, 267, 519, 2387, 560, 4450, 13237, 1505, 7024, 513, 29005, 1592, 8204, 519, 21712, 2497, 540, 519, 13421, 267, 543, 519, 2387, 1037, 13237, 1505, 7024, 513, 8675, 5627, 1344, 827, 1142, 5180, 540, 519, 5690, 780, 3528, 7421, 519, 2164, 267, 649, 666, 2744, 4030, 883, 519, 2497, 540, 519, 3113, 543, 519, 3347, 1063, 9136, 1369, 543, 2066, 13421, 269, 901, 666, 581, 3730, 585, 513, 3099, 540, 3156, 267, 971, 607, 7114, 2950, 538, 1514, 5121, 267, 10126, 532, 2592, 267, 543, 12423, 6198, 13838, 538, 6211, 5121, 780, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 8268, 519, 946, 540, 26993, 24717, 585, 3113, 24159, 1210, 513, 10991, 3113, 269, 1284, 1101, 6383, 513, 10991, 3113, 1210, 519, 2387, 2675, 27251, 4732, 27785, 319, 9074, 543, 24458, 602, 621, 729, 21136, 269, 1284, 1287, 1031, 26993, 24717, 547, 12440, 519, 3113, 543, 9916, 519, 2164, 676, 8228, 519, 12440, 10467, 267, 2497, 267, 543, 5180, 1344, 269, 1635, 1210, 26993, 24717, 543, 824, 3113, 24159, 6620, 267, 649, 666, 2744, 4030, 883, 519, 2497, 540, 1950, 5121, 543, 10625, 6456, 3270, 543, 3347, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 338, 2838, 676, 10858, 1876, 610, 8815, 547, 538, 1603, 267, 3301, 454, 23251, 30744, 896, 519, 17821, 568, 7856, 593, 606, 834, 3008, 4959, 257, 32577, 3041, 2676, 310, 18952, 27345, 654, 2752, 305, 3198, 25765, 10758, 12164, 14888, 16739, 5508, 4888, 312, 918, 18853, 267, 2901, 2769, 610, 22466, 563, 8450, 519, 17821, 585, 519, 1808, 1893, 12044, 27704, 543, 454, 3916, 14591, 896, 519, 17821, 563, 20701, 5228, 3113, 326, 17311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1287, 1118, 621, 4755, 6185, 5877, 0, 2108, 297, 19851, 11298, 8668, 892, 568, 513, 4583, 6031, 585, 2875, 9845, 10876, 267, 855, 1018, 952, 713, 6031, 729, 4294, 547, 19174, 607, 1134, 286, 4841, 2648, 5026, 267, 8117, 3006, 5026, 666, 1860, 513, 2875, 1412, 338, 4081, 4876, 269, 1879, 1053, 723, 2259, 1310, 1153, 621, 3217, 909, 3407, 942, 585, 6780, 610, 4974, 269, 24110, 666, 27298, 7494, 1282, 513, 2875, 1412, 338, 18942, 4005, 269, 4014, 1004, 8044, 602, 513, 17528, 2875, 1058, 581, 2111, 547, 7119, 538, 5026, 1317, 621, 779, 1434, 3635, 267, 789, 1058, 711, 1317, 9344, 616, 1271, 543, 5026, 616, 513, 30411, 563, 21430, 6190, 9344, 666, 1404, 513, 1713, 1909, 538, 513, 1762, 2937, 1412, 338, 1272, 269, 11310, 568, 1379, 269, 6145, 1250, 562, 3570, 2141, 1767, 968, 763, 811, 596, 917, 267, 519, 811, 596, 1332, 1848, 4804, 607, 513, 1762, 2937, 666, 2490, 513, 7141, 883, 513, 1134, 25454, 4759, 540, 2486, 269, 1772, 711, 519, 6852, 3483, 540, 1153, 547, 13599, 1762, 8186, 286, 29179, 519, 24539, 540, 5026, 585, 8429, 9344, 666, 1118, 3388, 689, 1449, 8464, 547, 7589, 538, 4967, 979, 909, 269, 8866, 543, 12322, 3257, 1134, 538, 19174, 2038, 538, 1272, 723, 6266, 540, 9885, 1930, 909, 585, 873, 269, 634, 3255, 585, 513, 5100, 588, 2483, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 9701, 2875, 26465, 525, 581, 4847, 547, 18178, 5049, 269, 594, 1131, 2161, 1100, 267, 1317, 789, 9896, 909, 547, 581, 513, 2875, 19002, 269, 9906, 9845, 1058, 581, 7142, 547, 979, 547, 782, 5049, 1317, 789, 723, 547, 1205, 519, 1482, 960, 607, 3025, 3116, 538, 519, 1362, 543, 519, 1482, 2069, 547, 1205, 519, 1482, 4110, 607, 519, 824, 1875, 2875, 9845, 15660, 1174, 602, 789, 723, 1360, 1279, 17334, 543, 5721, 585, 3108, 543, 3108, 513, 1554, 1175, 585, 5026, 855, 267, 789, 991, 547, 960, 1175, 607, 2182, 952, 711, 9875, 593, 741, 2090, 269, 1955, 2386, 519, 2875, 19002, 666, 4413, 513, 2259, 1317, 540, 1153, 960, 1153, 543, 2069, 2501, 1101, 1100, 2339, 875, 1434, 596, 616, 693, 519, 7328, 952, 596, 1810, 1412, 339, 723, 519, 9344, 596, 1810, 1412, 339, 1404, 2807, 1496, 15912, 281, 2160, 267, 4400, 1153, 267, 4065, 267, 9906, 2639, 6200, 273, 1913, 630, 273, 269, 280, 3817, 994, 268, 9906, 5025, 628, 2280, 525, 616, 1634, 607, 1373, 513, 2407, 942, 2875, 543, 606, 2407, 942, 19002, 269, 769, 547, 17058, 2486, 519, 18942, 851, 936, 337, 1938, 519, 4081, 851, 269, 3086, 12997, 32586, 715, 7563, 288, 723, 519, 2875, 268, 987, 2280, 525, 4730, 606, 9441, 1909, 855, 9104, 908, 873, 609, 15321, 2640, 20136, 1611, 789, 616, 711, 556, 12686, 689, 741, 960, 269, 1703, 616, 7899, 540, 2875, 268, 987, 2280, 525, 538, 519, 1908, 326, 5573, 1377, 602, 616, 1981, 532, 741, 2729, 3232, 547, 11886, 519, 18942, 1909, 269, 1452, 9845, 948, 3142, 8907, 547, 519, 1153, 2529, 334, 4061, 267, 9906, 268, 987, 2280, 525, 1058, 581, 9104, 730, 609, 811, 982, 1175, 606, 14172, 2807, 1496, 15912, 281, 5520, 602, 1058, 581, 4847, 547, 9769, 1125, 2639, 3445, 278, 1913, 630, 273, 269, 277, 3817, 994, 268, 5441, 9845, 5352, 6634, 540, 9489, 585, 741, 3506, 1142, 1032, 267, 2943, 789, 616, 711, 4847, 547, 581, 9104, 730, 3564, 513, 14172, 1813, 547, 1373, 2808, 993, 622, 2720, 269, 5441, 9845, 616, 930, 540, 519, 23698, 2324, 1004, 538, 519, 4182, 267, 2348, 547, 1445, 593, 1312, 1153, 6030, 543, 5026, 269, 5221, 7619, 923, 1491, 865, 1454, 942, 267, 891, 2875, 268, 987, 2280, 525, 616, 2141, 11112, 269, 5441, 11176, 543, 14912, 616, 3818, 1532, 11669, 13362, 4213, 269, 634, 715, 7563, 288, 1281, 711, 1616, 547, 2628, 519, 9845, 3564, 25689, 267, 543, 621, 1131, 581, 9157, 547, 960, 513, 1007, 13180, 1982, 883, 741, 6578, 543, 519, 23348, 540, 519, 9945, 2807, 1496, 15912, 281, 9845, 267, 2852, 267, 993, 622, 2720, 267, 8907, 2639, 280, 2537, 1913, 630, 273, 269, 277, 3817, 994, 268, 589, 2243, 602, 814, 1044, 8375, 547, 519, 2627, 25015, 568, 968, 29019, 2852, 9845, 581, 6976, 513, 14057, 9495, 2290, 3112, 1205, 593, 519, 4950, 1631, 513, 1554, 543, 711, 1294, 930, 2186, 540, 2852, 7328, 2212, 1467, 269, 634, 1158, 540, 2852, 5026, 814, 1044, 4957, 7494, 519, 2250, 8717, 1813, 547, 2852, 9845, 269, 1452, 9845, 1118, 31837, 25236, 762, 5666, 540, 2724, 543, 606, 796, 29207, 15344, 2179, 540, 6284, 585, 519, 9945, 269, 634, 9845, 602, 1683, 543, 1118, 513, 9522, 540, 8907, 585, 519, 12621, 849, 6108, 513, 5458, 2179, 540, 741, 942, 8026, 543, 9363, 8149, 547, 5026, 267, 543, 723, 547, 2226, 1434, 9344, 538, 1153, 799, 3340, 3833, 513, 3787, 540, 936, 5503, 2807, 1496, 15912, 281, 5026, 267, 2852, 9845, 2639, 16409, 278, 1913, 630, 275, 269, 273, 3817, 994, 268, 5441, 9845, 616, 17216, 930, 540, 519, 23698, 2324, 1004, 538, 519, 1158, 269, 3502, 1152, 616, 789, 2713, 519, 1272, 540, 606, 3328, 2875, 267, 789, 849, 723, 513, 588, 1066, 6681, 8430, 609, 741, 1808, 7328, 269, 2290, 540, 519, 1034, 5941, 3584, 538, 519, 1158, 540, 2852, 7619, 923, 568, 2436, 610, 711, 2875, 268, 987, 2280, 525, 1058, 581, 6976, 2724, 585, 4730, 5026, 269, 634, 1004, 945, 10990, 609, 519, 2856, 723, 930, 1434, 7440, 547, 1118, 269, 10021, 3320, 602, 519, 9845, 1205, 547, 979, 547, 1153, 585, 1863, 585, 4730, 5026, 269, 6271, 4661, 568, 602, 952, 2875, 268, 987, 2280, 525, 941, 547, 1205, 6976, 1287, 621, 1131, 25010, 519, 23153, 1143, 540, 2852, 5026, 2807, 1496, 15912, 281, 2852, 9845, 267, 5026, 1870, 267, 715, 7563, 288, 2639, 3422, 271, 1913, 630, 276, 269, 277, 3817, 994, 268, 634, 25689, 2016, 547, 2852, 9845, 616, 711, 6190, 2614, 547, 2844, 873, 2429, 519, 1032, 267, 799, 568, 1946, 594, 3494, 789, 1058, 1205, 6976, 543, 4309, 2640, 269, 9906, 9845, 267, 2523, 11176, 543, 14912, 5716, 267, 1404, 513, 2101, 1909, 538, 10451, 8907, 585, 3506, 267, 4213, 267, 19393, 543, 519, 5716, 798, 711, 1294, 513, 29784, 269, 5441, 9845, 1419, 798, 711, 723, 2724, 538, 741, 22836, 585, 3063, 1426, 267, 9660, 267, 8027, 543, 29599, 2238, 269, 1358, 849, 666, 5732, 1205, 12628, 689, 741, 6887, 1813, 547, 5945, 267, 6028, 873, 24835, 762, 540, 9878, 585, 2852, 2807, 1496, 15912, 281, 2852, 9845, 267, 562, 8619, 320, 267, 25689, 2639, 3199, 277, 1913, 630, 273, 269, 274, 3817, 994, 268, 968, 306, 7964, 616, 513, 2462, 3364, 1934, 892, 3081, 808, 10154, 267, 513, 2875, 945, 6410, 547, 3013, 689, 3162, 9705, 269, 630, 305, 2118, 344, 267, 2549, 7701, 269, 968, 763, 8865, 1996, 3427, 11846, 1848, 634, 9533, 269, 476, 275, 5437, 476, 1001, 274, 4700, 4270, 602, 779, 585, 2386, 269, 3013, 779, 1164, 17469, 4081, 8464, 616, 2539, 982, 789, 4076, 2479, 1044, 1354, 267, 855, 3079, 540, 20468, 827, 602, 789, 2461, 9361, 1472, 14126, 827, 799, 2319, 568, 2469, 547, 3094, 519, 1985, 2462, 3014, 269, 1703, 616, 782, 2010, 540, 1114, 5026, 538, 3506, 782, 936, 519, 2197, 269, 31336, 4252, 267, 13836, 267, 2571, 4252, 267, 13558, 267, 11176, 267, 17281, 267, 3092, 2807, 1496, 15912, 281, 11846, 267, 3427, 267, 26465, 525, 267, 4065, 2639, 280, 6507, 1913, 630, 273, 269, 279, 3817, 994, 268, 10801, 519, 1279, 1686, 540, 2852, 5026, 267, 11176, 538, 1880, 267, 9845, 723, 5129, 4009, 569, 1055, 540, 25689, 610, 607, 3802, 268, 976, 269, 634, 715, 7563, 288, 12958, 6634, 1510, 9878, 519, 9845, 513, 546, 830, 269, 10765, 1296, 723, 3361, 5458, 2042, 538, 519, 2197, 609, 9878, 9845, 585, 4730, 269, 20280, 531, 1310, 29317, 814, 4224, 539, 519, 3239, 540, 2852, 11176, 543, 3085, 1406, 2408, 547, 581, 3478, 1732, 269, 634, 715, 7563, 288, 10238, 1080, 2875, 268, 987, 2280, 525, 689, 8391, 16789, 2640, 543, 9513, 8357, 8494, 807, 585, 513, 7443, 950, 789, 1058, 581, 9878, 922, 9845, 2807, 1496, 15912, 281, 9845, 267, 23215, 601, 267, 7443, 267, 9878, 2639, 16328, 273, 1913, 630, 274, 269, 279, 3817, 994, 268, 9796, 532, 5441, 26465, 525, 1703, 814, 1044, 606, 3573, 7521, 936, 519, 1296, 827, 2852, 9845, 1373, 6976, 543, 594, 25473, 1810, 1406, 1294, 1946, 972, 568, 513, 7521, 827, 621, 693, 782, 269, 634, 715, 7563, 288, 814, 7453, 3652, 827, 5716, 8391, 2640, 689, 519, 1153, 538, 3029, 540, 4543, 5716, 543, 741, 3885, 538, 519, 1106, 540, 2628, 3832, 4242, 610, 1256, 4543, 2628, 12014, 269, 5441, 5026, 3142, 538, 606, 11999, 2179, 540, 2724, 585, 519, 3506, 1169, 1032, 543, 616, 4397, 547, 581, 2016, 4986, 538, 2132, 269, 11846, 798, 711, 1152, 3142, 538, 2724, 547, 3506, 855, 849, 811, 1053, 543, 11655, 2807, 1496, 15912, 281, 5441, 267, 2160, 267, 4065, 267, 3427, 2639, 278, 4792, 1913, 630, 273, 269, 273, 3817, 994, 268, 3509, 1004, 666, 3362, 4605, 713, 538, 741, 8186, 269, 634, 887, 2130, 24921, 267, 519, 9329, 540, 2653, 547, 3548, 3536, 267, 543, 519, 5215, 540, 1004, 782, 21039, 538, 519, 1482, 4778, 269, 2334, 779, 513, 6609, 540, 3014, 1554, 693, 513, 2101, 2852, 269, 5441, 5026, 3142, 538, 513, 2603, 540, 2724, 267, 2943, 741, 5716, 1810, 1406, 1205, 6976, 269, 3509, 1004, 2070, 713, 607, 1945, 602, 2115, 547, 581, 4957, 1247, 1866, 3494, 602, 1152, 4648, 1058, 581, 6976, 269, 769, 519, 3594, 968, 4131, 25578, 5192, 623, 4660, 892, 543, 968, 31955, 26465, 525, 9701, 3502, 2142, 623, 4660, 5608, 1312, 4589, 2285, 741, 8369, 593, 2436, 610, 711, 2852, 9845, 1058, 581, 6976, 2807, 1496, 15912, 281, 4400, 1153, 267, 2160, 267, 14451, 2069, 2639, 12893, 271, 1913, 630, 274, 269, 274, 3817, 264, 0, 2414, 964, 27364, 622, 630, 291, 2464, 268, 8811, 10275, 622, 264, 568, 547, 4894, 519, 7509, 689, 282, 547, 1831, 4625, 543, 8499, 3819, 269, 1306, 594, 1031, 621, 2221, 281, 968, 314, 2691, 519, 4703, 540, 519, 943, 21198, 338, 316, 941, 1336, 1296, 2663, 1107, 964, 27364, 730, 267, 32028, 2914, 571, 5529, 7633, 1107, 741, 16782, 941, 8854, 269, 1773, 1495, 1229, 3034, 2304, 1566, 639, 9908, 630, 2129, 6261, 4785, 298, 3917, 944, 264, 568, 513, 960, 540, 1148, 610, 2575, 602, 568, 2808, 547, 581, 5634, 610, 28971, 269, 2368, 13915, 1522, 267, 585, 1383, 267, 4766, 9956, 779, 3751, 3627, 610, 3131, 2873, 607, 606, 1566, 639, 9908, 563, 300, 529, 690, 2106, 344, 630, 332, 8811, 4149, 288, 295, 268, 7795, 16250, 324, 264, 568, 513, 771, 3697, 540, 267, 733, 3319, 585, 267, 610, 3824, 11712, 14882, 1996, 2021, 269, 1306, 594, 1031, 621, 2221, 281, 968, 306, 16728, 17936, 267, 12926, 835, 540, 519, 1158, 779, 1034, 3765, 690, 2106, 2065, 2477, 267, 814, 11292, 2021, 519, 1318, 547, 2951, 18246, 1510, 5256, 10479, 3034, 303, 1513, 30266, 1190, 630, 1706, 1606, 8811, 5336, 15121, 16250, 324, 268, 639, 264, 1797, 29097, 344, 610, 535, 2607, 531, 282, 1964, 11712, 269, 1306, 594, 1031, 621, 2221, 281, 968, 3383, 602, 729, 1945, 3116, 547, 1589, 827, 1107, 519, 1249, 602, 649, 616, 1142, 16163, 30266, 1190, 609, 519, 835, 3364, 649, 1616, 585, 6000, 3034, 2414, 9006, 4733, 630, 309, 2894, 268, 7795, 268, 3433, 264, 568, 547, 556, 3164, 282, 547, 2543, 609, 1390, 2463, 269, 1306, 594, 1031, 621, 2221, 281, 968, 4415, 2463, 547, 707, 4876, 267, 1018, 779, 811, 1271, 281, 1373, 25343, 585, 707, 1915, 2507, 610, 9006, 23306, 585, 707, 1967, 888, 2414, 605, 18285, 630, 2889, 327, 4149, 298, 6020, 23813, 264, 568, 547, 18005, 17246, 573, 267, 3954, 8784, 267, 610, 18149, 333, 269, 630, 8253, 547, 581, 11821, 609, 21559, 267, 799, 1797, 4363, 4700, 1306, 594, 1031, 621, 2221, 281, 968, 291, 1112, 517, 776, 2593, 814, 3370, 1082, 1202, 2033, 569, 31945, 3594, 605, 30533, 532, 1893, 1354, 267, 855, 713, 814, 547, 581, 835, 540, 519, 31945, 652, 3034, 303, 4048, 15122, 630, 303, 4048, 5336, 2969, 268, 1731, 264, 6257, 513, 1259, 540, 7231, 609, 1919, 1483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4704, 23949, 8817, 19301, 303, 2079, 543, 3328, 30859, 3961, 630, 3198, 296, 264, 609, 25505, 18640, 24159, 630, 4338, 290, 1070, 649, 2919, 513, 3648, 4824, 12191, 3850, 20547, 29981, 3347, 267, 1759, 593, 6662, 7355, 269, 1452, 6915, 514, 26197, 2645, 666, 581, 1031, 607, 513, 2489, 14610, 547, 3313, 29981, 3347, 543, 24159, 540, 4551, 267, 32055, 2944, 609, 14731, 7578, 630, 293, 4700, 32482, 732, 985, 529, 269, 17449, 27496, 540, 674, 269, 32482, 732, 985, 529, 568, 4867, 12290, 6140, 1759, 593, 8047, 2409, 543, 7636, 2079, 269, 634, 1164, 12105, 6617, 543, 519, 804, 4689, 2470, 2306, 14731, 7578, 4998, 585, 1016, 1399, 4771, 609, 2582, 30859, 26340, 3359, 630, 17928, 11679, 1040, 14938, 9760, 543, 1483, 6066, 19738, 666, 581, 1031, 547, 19472, 519, 19301, 303, 2079, 269, 1284, 8495, 2898, 24932, 727, 9696, 540, 476, 14028, 674, 269, 32482, 732, 985, 529, 1016, 4944, 269, 2868, 541, 18377, 25904, 269, 623, 17222, 21925, 4152, 729, 1759, 593, 19301, 11679, 543, 3328, 30859, 3961, 630, 3198, 296, 264, 607, 4704, 4830, 267, 12972, 6954, 2409, 2921, 1507, 8397, 543, 3288, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 27405, 1190, 12140, 540, 18903, 692, 5970, 596, 2479, 16545, 11504, 513, 1153, 1141, 596, 1223, 1451, 827, 28542, 267, 1494, 687, 267, 543, 17134, 656, 906, 286, 2755, 713, 1522, 3280, 899, 1945, 856, 540, 513, 14810, 7260, 610, 3381, 3014, 267, 972, 729, 2899, 513, 942, 950, 1004, 5156, 602, 971, 4025, 11478, 256, 4438, 519, 5664, 12698, 630, 12671, 476, 4335, 5084, 547, 476, 5611, 271, 5084, 1070, 1082, 1004, 2219, 602, 4872, 899, 10878, 1255, 267, 18603, 267, 543, 24729, 539, 334, 1185, 2027, 3506, 6131, 547, 3450, 9059, 269, 1452, 14201, 1405, 1175, 1022, 2186, 540, 9059, 1107, 789, 6026, 1018, 729, 1634, 607, 1412, 6767, 655, 517, 1108, 262, 543, 1412, 332, 698, 1157, 9538, 1809, 1018, 1281, 602, 1611, 4010, 286, 2913, 781, 4685, 883, 891, 12357, 5396, 1927, 2439, 20058, 267, 1577, 781, 2736, 1524, 1346, 2462, 1913, 269, 20707, 655, 976, 5749, 1405, 899, 519, 9409, 7068, 596, 1294, 538, 2221, 781, 9413, 282, 1394, 1287, 267, 13005, 655, 976, 5219, 547, 14326, 610, 16750, 7919, 602, 1223, 948, 3425, 610, 2800, 873, 4470, 593, 875, 789, 941, 14059, 269, 1656, 1412, 332, 698, 1157, 10086, 7429, 3942, 15361, 649, 917, 2221, 267, 5921, 1210, 5728, 1702, 547, 3310, 2621, 610, 3589, 519, 2104, 269, 3767, 4952, 1565, 782, 540, 602, 693, 1153, 256, 1215, 3579, 1131, 602, 581, 2496, 3086, 267, 1934, 2501, 519, 4277, 851, 910, 1282, 10120, 2053, 267, 5640, 3323, 24758, 6266, 540, 1271, 5931, 689, 3504, 4529, 267, 2523, 689, 17936, 269, 7324, 891, 1568, 267, 789, 1336, 1344, 827, 2257, 267, 4915, 267, 6128, 1862, 663, 9811, 267, 1256, 9059, 256, 5221, 1004, 4769, 1405, 4628, 1174, 519, 3017, 1063, 2257, 543, 9059, 2943, 267, 789, 1419, 19882, 873, 1927, 269, 901, 1797, 602, 2059, 609, 4974, 2067, 9259, 899, 17772, 2354, 525, 610, 29500, 267, 1004, 849, 6836, 1620, 1919, 899, 1347, 916, 267, 31826, 267, 543, 5657, 1143, 753, 780, 3080, 4241, 1747, 2404, 609, 9059, 2069, 729, 519, 2749, 540, 24729, 539, 334, 538, 8050, 269, 12267, 3262, 2484, 543, 2647, 19101, 602, 24729, 539, 334, 1185, 5863, 9059, 3506, 269, 1924, 1454, 865, 602, 519, 8360, 834, 1492, 1148, 540, 24729, 539, 334, 257, 2968, 1776, 1259, 547, 2161, 834, 1492, 1148, 540, 9059, 10590, 2052, 596, 4605, 3054, 6972, 1472, 513, 14297, 10120, 4884, 267, 3168, 585, 513, 6456, 1153, 540, 9059, 1851, 922, 10754, 286, 16319, 13858, 267, 3085, 1405, 621, 2496, 4913, 267, 3314, 875, 594, 5143, 596, 4505, 602, 9059, 7012, 1405, 2141, 2938, 607, 3983, 286, 4270, 267, 936, 942, 267, 3909, 8128, 3459, 13156, 1978, 2010, 540, 9059, 607, 5906, 543, 1996, 741, 4978, 269, 1635, 519, 1439, 540, 519, 5664, 12698, 267, 1034, 540, 891, 9277, 9059, 3506, 4440, 6806, 1524, 610, 4682, 11895, 1813, 547, 4250, 543, 27421, 780, 3383, 267, 1247, 4890, 9059, 3506, 949, 723, 1044, 811, 5708, 982, 1249, 267, 519, 2856, 6157, 9676, 1004, 781, 4337, 5209, 256, 4634, 1631, 267, 2984, 827, 9589, 3537, 12562, 3136, 547, 8300, 9118, 2835, 267, 8874, 267, 543, 7641, 2982, 269, 5808, 6487, 286, 9320, 835, 1554, 267, 2576, 786, 3605, 1483, 2963, 540, 891, 804, 663, 32347, 13460, 269, 14348, 333, 1405, 602, 581, 9058, 2496, 12244, 281, 5994, 8888, 707, 1378, 10120, 9059, 1153, 269, 1548, 5396, 1131, 596, 4001, 286, 7316, 1131, 621, 581, 4092, 286, 8571, 513, 4786, 610, 17250, 540, 707, 1153, 543, 2671, 621, 609, 707, 2828, 269, 9181, 1018, 2306, 707, 1153, 2189, 3379, 547, 1866, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5472, 2924, 11603, 454, 2080, 616, 930, 2835, 547, 829, 2224, 952, 596, 616, 27278, 676, 519, 1158, 540, 13291, 3204, 687, 454, 291, 19508, 3000, 1108, 1299, 7395, 1157, 454, 4462, 6674, 539, 7734, 281, 2494, 11245, 338, 540, 3231, 2740, 18903, 538, 519, 19744, 23905, 540, 6239, 2342, 454, 2421, 27015, 2131, 18999, 454, 7628, 519, 5664, 12698, 267, 519, 5375, 1158, 12261, 519, 6909, 12428, 3621, 24402, 543, 16865, 621, 883, 5375, 2528, 281, 12428, 6138, 267, 25852, 267, 543, 6323, 267, 607, 1134, 607, 620, 17057, 344, 267, 31826, 267, 543, 5657, 1143, 23307, 9059, 269, 634, 1899, 1063, 519, 3621, 543, 519, 9589, 729, 23324, 269, 4340, 547, 2442, 561, 648, 267, 4012, 5974, 540, 519, 5664, 12698, 941, 8036, 538, 519, 1148, 540, 9059, 538, 834, 332, 698, 6509, 3506, 257, 4092, 538, 1585, 23195, 2127, 267, 971, 607, 10878, 1255, 267, 18603, 267, 543, 24729, 539, 334, 269, 898, 729, 1455, 1702, 602, 9059, 729, 4121, 543, 602, 4872, 1185, 3506, 2966, 547, 4001, 519, 4158, 6575, 269, 634, 5053, 2749, 540, 24729, 539, 334, 267, 585, 1383, 267, 729, 865, 12021, 585, 922, 9059, 2866, 3506, 602, 834, 1492, 1148, 540, 24729, 539, 334, 257, 729, 24190, 609, 834, 1492, 1148, 540, 9059, 1701, 19402, 27015, 2131, 18999, 781, 960, 593, 1133, 6674, 539, 4425, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 3391, 547, 1620, 1463, 2962, 543, 875, 621, 666, 3035, 2797, 3853, 454, 17445, 2962, 568, 513, 1106, 540, 2962, 1141, 1004, 946, 741, 1379, 547, 2047, 3035, 2797, 3853, 269, 9521, 9940, 2409, 899, 13359, 610, 25211, 532, 14761, 267, 1004, 2921, 1463, 2962, 2832, 547, 2743, 741, 3853, 998, 741, 1378, 2534, 267, 2864, 982, 519, 3527, 540, 1866, 563, 17445, 2962, 568, 1419, 26688, 1107, 621, 666, 4125, 1004, 1210, 741, 4703, 547, 2014, 610, 2061, 1945, 8345, 267, 610, 9117, 15217, 547, 11851, 2604, 593, 513, 3077, 269, 570, 716, 923, 971, 607, 3625, 3547, 267, 16716, 267, 4584, 1115, 267, 23909, 267, 610, 3959, 3441, 616, 1806, 540, 1463, 2962, 269, 1717, 267, 824, 1806, 1810, 1406, 4125, 13889, 269, 1280, 1383, 267, 8994, 5351, 267, 1141, 1004, 1418, 1047, 2933, 547, 2047, 2743, 2115, 602, 616, 711, 1373, 1558, 676, 519, 1533, 610, 1346, 609, 1379, 563, 2467, 616, 1082, 1114, 2238, 602, 1004, 1289, 1463, 2962, 267, 543, 649, 10093, 1406, 1031, 513, 7453, 4214, 538, 713, 3391, 269, 1548, 568, 2048, 29715, 685, 543, 2436, 621, 779, 2500, 5673, 513, 2603, 593, 519, 2796, 1107, 519, 5859, 602, 606, 2962, 568, 851, 540, 267, 610, 519, 2797, 3510, 621, 4523, 538, 563, 1103, 713, 3391, 649, 2709, 2947, 1806, 540, 3527, 689, 6628, 602, 941, 3811, 538, 741, 2796, 267, 543, 20272, 1946, 267, 547, 948, 596, 1589, 998, 912, 4322, 2055, 616, 3730, 547, 1174, 875, 1463, 2962, 1223, 960, 538, 707, 1378, 2796, 269, 634, 22411, 15613, 543, 10500, 6541, 20492, 10274, 593, 938, 3896, 616, 811, 5059, 593, 4052, 4388, 585, 2921, 1463, 2962, 563, 1103, 30228, 891, 1806, 267, 649, 849, 4607, 3403, 689, 1004, 945, 941, 3238, 267, 547, 948, 1683, 513, 2407, 518, 4605, 540, 519, 2962, 543, 922, 2796, 269, 11289, 596, 547, 3025, 945, 3403, 1540, 883, 713, 3391, 2336, 2467, 616, 513, 2603, 540, 20887, 827, 1463, 2962, 1107, 1018, 621, 5654, 899, 267, 1018, 621, 779, 1031, 585, 267, 543, 945, 666, 798, 621, 269, 1452, 14868, 666, 581, 1055, 268, 1584, 1154, 267, 865, 789, 616, 1360, 10375, 547, 1004, 945, 28586, 938, 5859, 3853, 2336, 10144, 3238, 538, 1463, 2962, 666, 849, 3565, 547, 891, 14868, 1510, 2495, 547, 269, 1280, 1383, 267, 621, 779, 1455, 585, 1463, 2962, 2516, 547, 8661, 1981, 23824, 543, 2123, 15093, 585, 922, 1378, 19160, 267, 2864, 982, 519, 4890, 5222, 540, 519, 2962, 269, 769, 713, 3236, 267, 519, 9837, 568, 4440, 547, 5818, 519, 27907, 540, 519, 1895, 543, 1491, 1416, 540, 1142, 824, 269, 634, 17498, 728, 666, 581, 602, 713, 20555, 519, 2856, 602, 1004, 666, 1152, 1491, 851, 538, 1463, 2962, 952, 789, 616, 538, 513, 2990, 547, 1491, 20982, 4220, 609, 741, 3106, 610, 3656, 7555, 563, 2171, 4076, 9619, 930, 1455, 14868, 2630, 563, 4407, 930, 3029, 540, 1463, 2962, 4125, 8840, 519, 1876, 267, 1082, 12485, 1810, 1406, 4125, 3257, 4376, 10363, 269, 15020, 1906, 540, 519, 1806, 538, 713, 3391, 3366, 547, 513, 7803, 24235, 630, 2288, 540, 1576, 602, 568, 1100, 10018, 602, 1004, 1522, 711, 581, 18486, 585, 2921, 2147, 3527, 538, 2104, 1040, 1703, 616, 849, 6266, 540, 1114, 5107, 1004, 666, 1491, 538, 3527, 267, 930, 540, 799, 2097, 609, 513, 1454, 2539, 1981, 540, 10654, 563, 5278, 5686, 540, 1463, 2962, 1522, 4125, 16246, 1919, 267, 1140, 2286, 3054, 547, 1945, 610, 8380, 707, 1560, 538, 519, 1259, 540, 3937, 269, 1809, 1210, 707, 1560, 1223, 849, 1611, 3274, 1373, 851, 540, 513, 15624, 538, 513, 3625, 1228, 267, 610, 23646, 1524, 513, 6174, 676, 6972, 1927, 538, 4395, 540, 621, 269, 4033, 3029, 540, 1463, 2962, 5749, 1406, 2168, 693, 782, 1107, 899, 609, 3835, 532, 707, 10519, 610, 11668, 538, 513, 10880, 563, 288, 2388, 602, 2154, 2027, 1983, 610, 3937, 616, 538, 519, 12102, 267, 543, 1983, 1808, 547, 513, 1880, 8671, 545, 616, 1419, 2653, 547, 1451, 689, 824, 1004, 269, 634, 1806, 649, 4076, 2016, 1934, 1397, 875, 1004, 666, 7119, 538, 1463, 2962, 609, 1585, 2157, 540, 7041, 267, 1983, 543, 1995, 563, 21691, 823, 267, 3354, 22651, 543, 519, 3549, 610, 2043, 945, 616, 6098, 676, 1463, 2962, 1419, 934, 2224, 1004, 2921, 851, 540, 1373, 10795, 269, 2368, 540, 519, 1806, 538, 713, 3391, 4125, 3959, 3441, 610, 1373, 8231, 958, 13720, 1049, 267, 855, 9039, 540, 873, 4125, 2800, 547, 1004, 610, 2831, 269, 6034, 2962, 849, 12651, 519, 2243, 540, 1018, 649, 1589, 540, 607, 5208, 269, 15020, 1419, 1463, 2962, 568, 1031, 1996, 7293, 5208, 602, 28746, 1082, 1004, 855, 568, 1500, 547, 3100, 513, 3339, 851, 540, 1272, 267, 971, 607, 6710, 267, 2825, 9552, 267, 610, 8473, 20816, 563, 299, 1824, 540, 1463, 2962, 4523, 538, 5728, 256, 1656, 1256, 538, 1857, 1004, 666, 1491, 2500, 2962, 1510, 10654, 267, 998, 6297, 4058, 610, 4222, 538, 2338, 269, 634, 1806, 1934, 1397, 7366, 540, 1004, 3238, 538, 2500, 3527, 945, 941, 711, 18486, 563, 4002, 476, 278, 628, 4873, 476, 1708, 271, 267, 519, 18533, 538, 30290, 540, 476, 1704, 628, 2540, 10553, 911, 1457, 11977, 2051, 8725, 729, 547, 653, 1194, 269, 901, 5949, 1282, 2527, 17600, 1996, 7292, 21440, 1739, 519, 7128, 12638, 540, 6723, 4469, 20477, 538, 519, 2475, 269, 634, 18533, 729, 11303, 676, 513, 1804, 15624, 540, 13889, 832, 267, 15504, 1524, 609, 887, 6647, 267, 1219, 3166, 543, 16207, 883, 519, 3771, 13118, 563, 763, 8905, 540, 513, 9709, 13889, 15292, 5293, 676, 519, 2051, 8725, 18533, 269, 5565, 13889, 832, 4547, 887, 6647, 609, 873, 269, 634, 15624, 8452, 693, 519, 18533, 267, 799, 1185, 1044, 4988, 609, 513, 12308, 538, 24736, 540, 519, 13889, 269, 4658, 678, 5792, 1055, 519, 12308, 543, 28520, 5798, 693, 519, 18533, 267, 669, 13589, 2048, 335, 1638, 621, 1524, 256, 685, 634, 887, 6647, 941, 5293, 909, 547, 1614, 1004, 945, 1185, 6172, 5523, 5196, 519, 726, 12764, 269, 1358, 3728, 2989, 519, 887, 6647, 1472, 519, 2212, 540, 519, 18533, 543, 29860, 1524, 269, 4658, 538, 519, 15624, 23498, 513, 2230, 543, 5280, 7485, 593, 519, 887, 6647, 2394, 519, 18533, 547, 653, 1194, 269, 1358, 29860, 593, 621, 267, 1219, 3166, 621, 609, 5862, 267, 18202, 621, 1524, 547, 30290, 4498, 13118, 543, 14593, 621, 883, 519, 1216, 563, 763, 2051, 8725, 18533, 1185, 1044, 10353, 1369, 30290, 585, 1082, 1296, 267, 1519, 4620, 1431, 547, 519, 14643, 585, 922, 8851, 543, 1896, 1463, 7459, 676, 30290, 7264, 269, 769, 476, 1001, 278, 606, 796, 334, 24810, 15799, 1185, 1044, 3773, 547, 519, 726, 12764, 14344, 2051, 8725, 779, 7589, 538, 519, 10553, 4123, 269, 2311, 519, 942, 540, 519, 476, 1708, 271, 13889, 267, 513, 21936, 585, 519, 8851, 540, 519, 18533, 1185, 10356, 936, 476, 1015, 267, 1822, 22782, 563, 763, 17600, 1739, 6723, 4469, 20477, 779, 12638, 941, 1804, 8397, 267, 2518, 267, 543, 16768, 585, 1082, 3275, 269, 26597, 824, 24112, 1644, 547, 8474, 543, 7292, 14226, 941, 1219, 3166, 610, 10032, 538, 519, 5177, 543, 11992, 269, 634, 547, 653, 1782, 540, 2051, 8725, 729, 26518, 1079, 2395, 2663, 693, 6723, 4469, 20477, 779, 24133, 267, 1141, 1234, 3164, 526, 1325, 26588, 17980, 1767, 281, 968, 5472, 936, 519, 1158, 594, 4076, 2938, 6264, 18244, 540, 10553, 18544, 751, 2130, 1524, 10553, 18544, 24112, 1107, 936, 538, 4789, 789, 2322, 621, 538, 519, 5757, 3034, 1607, 1383, 6212, 593, 606, 11776, 986, 573, 269, 901, 568, 513, 8671, 545, 1031, 676, 519, 5177, 5851, 8433, 538, 799, 10492, 3077, 5321, 610, 28737, 547, 1033, 664, 1004, 16143, 540, 2048, 9404, 12568, 1055, 1878, 9957, 1452, 986, 1749, 616, 1419, 5645, 856, 609, 519, 2832, 540, 1244, 15659, 28357, 32339, 269, 3509, 540, 873, 4755, 538, 519, 2038, 6640, 543, 616, 1634, 607, 2048, 323, 11921, 986, 1749, 17483, 1103, 2904, 476, 1708, 272, 267, 606, 11776, 986, 573, 593, 8230, 332, 675, 9335, 538, 29161, 729, 11074, 676, 1004, 4478, 519, 11776, 8709, 543, 7303, 621, 689, 3001, 269, 901, 2962, 3238, 513, 1507, 1297, 540, 1004, 7620, 17527, 519, 8709, 1519, 835, 1268, 18284, 621, 269, 13536, 267, 7366, 811, 1004, 8452, 2348, 4862, 827, 519, 986, 573, 998, 30256, 267, 2199, 5121, 543, 1514, 2923, 269, 634, 7128, 4547, 538, 9640, 543, 678, 3999, 695, 3658, 267, 855, 941, 711, 2111, 547, 771, 704, 572, 519, 15624, 269, 4658, 11303, 519, 8709, 669, 13589, 968, 28205, 616, 938, 30256, 267, 1577, 873, 979, 17373, 1358, 7283, 972, 585, 476, 279, 3108, 2394, 519, 1079, 1033, 7134, 1004, 941, 5950, 269, 634, 2601, 2016, 676, 7128, 585, 741, 5305, 729, 602, 519, 8709, 1223, 711, 1847, 1247, 4509, 1857, 3106, 563, 26244, 2358, 519, 15372, 281, 25126, 593, 741, 1259, 547, 960, 4718, 519, 11776, 8709, 543, 2366, 856, 513, 8666, 547, 2199, 4550, 268, 571, 1749, 5121, 269, 634, 1101, 1906, 1004, 8452, 593, 519, 6429, 2348, 2938, 519, 10332, 610, 2938, 519, 986, 573, 2933, 563, 16498, 25518, 281, 2290, 1268, 3893, 18284, 519, 8709, 543, 1866, 2893, 3297, 543, 538, 4395, 621, 269, 4658, 2083, 4364, 519, 10492, 543, 16155, 4767, 741, 3527, 547, 4161, 519, 986, 573, 269, 901, 11751, 942, 2394, 811, 1004, 8452, 543, 4646, 513, 15624, 540, 7366, 11423, 519, 8265, 563, 310, 9175, 281, 634, 1268, 896, 519, 8709, 2482, 972, 585, 519, 2898, 2962, 1247, 824, 1004, 4547, 29198, 267, 3905, 1216, 14569, 267, 1426, 543, 4235, 547, 1832, 519, 1268, 6899, 269, 589, 1863, 1426, 543, 1216, 6728, 729, 3323, 538, 513, 1668, 3247, 543, 1004, 4904, 621, 609, 7727, 269, 10871, 7264, 543, 4213, 1577, 1004, 946, 741, 30079, 547, 1450, 1004, 547, 2611, 538, 519, 10754, 585, 607, 1279, 607, 2556, 269, 4033, 1004, 3177, 3656, 543, 3929, 1489, 269, 589, 15818, 8452, 543, 7142, 519, 7128, 547, 1450, 513, 1612, 3139, 545, 547, 4163, 856, 513, 8171, 2638, 540, 519, 1079, 1004, 1033, 7134, 3330, 519, 8709, 563, 7212, 519, 4550, 268, 12295, 2962, 593, 8230, 332, 675, 9335, 729, 513, 21245, 20834, 5314, 267, 621, 3710, 593, 1296, 540, 1991, 1418, 2358, 538, 29161, 1996, 519, 20935, 1604, 269, 2368, 1883, 5171, 538, 519, 2962, 941, 2818, 540, 29161, 779, 3143, 5345, 11881, 8416, 267, 1305, 909, 538, 476, 1001, 279, 547, 3247, 859, 11881, 540, 1004, 2713, 538, 28357, 22098, 269, 1358, 1185, 1044, 1418, 2358, 4550, 268, 571, 1749, 2866, 543, 23793, 538, 519, 2749, 269, 6271, 2487, 986, 573, 1185, 849, 3366, 547, 17600, 543, 1930, 11401, 538, 519, 4374, 1354, 519, 8230, 332, 675, 9335, 986, 573, 563, 5472, 540, 713, 1991, 1418, 2358, 5921, 602, 2199, 1004, 941, 2111, 547, 21028, 513, 986, 573, 543, 26544, 269, 898, 849, 5280, 519, 1289, 13050, 3262, 3533, 998, 11967, 5121, 267, 543, 5921, 602, 519, 2146, 1185, 519, 1983, 547, 957, 18390, 547, 2061, 519, 986, 573, 269, 634, 2962, 1705, 711, 7048, 593, 513, 3844, 2213, 13539, 547, 4431, 543, 1463, 1004, 267, 855, 3533, 20834, 2213, 7366, 540, 1004, 538, 519, 2146, 1472, 513, 2582, 2312, 2832, 563, 8448, 2146, 2188, 849, 1185, 606, 1198, 1107, 519, 13986, 986, 573, 5949, 593, 519, 1554, 540, 661, 573, 267, 538, 513, 1134, 268, 8588, 29117, 1141, 519, 1079, 2367, 1033, 7134, 538, 519, 986, 573, 941, 3742, 538, 519, 2146, 269, 634, 512, 2940, 906, 593, 519, 8230, 332, 675, 9335, 616, 2185, 4558, 903, 1164, 543, 20651, 609, 15646, 1562, 267, 20404, 543, 2324, 1362, 1004, 269, 10871, 8994, 5351, 5121, 1185, 1044, 1305, 909, 538, 3210, 547, 519, 524, 10604, 6855, 269, 15724, 758, 3333, 3658, 568, 849, 606, 1858, 1141, 1004, 723, 1455, 2833, 540, 7292, 2213, 2384, 532, 543, 27992, 267, 543, 1253, 6412, 540, 7128, 568, 1164, 563, 763, 3310, 540, 824, 7104, 1463, 2962, 676, 1004, 538, 29161, 666, 849, 581, 14360, 267, 609, 1806, 971, 607, 519, 29161, 21989, 476, 1001, 273, 5859, 1996, 21554, 986, 1749, 267, 7104, 3527, 1996, 7518, 5511, 28867, 3581, 676, 12389, 681, 550, 4557, 1218, 9769, 267, 543, 1256, 519, 4550, 1790, 3326, 3454, 18787, 538, 476, 2735, 280, 268, 3445, 538, 10430, 799, 9308, 15286, 859, 11881, 563, 1103, 5437, 476, 1708, 271, 267, 1472, 476, 1220, 1053, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21893, 4605, 568, 6537, 547, 4336, 2580, 834, 1492, 4336, 540, 8515, 9775, 2668, 3371, 568, 875, 594, 723, 2097, 547, 1174, 621, 267, 596, 3513, 723, 547, 31799, 803, 585, 519, 10068, 21658, 269, 4197, 519, 9165, 543, 4336, 540, 519, 2534, 799, 649, 20053, 547, 2268, 568, 606, 1271, 7156, 538, 14045, 543, 6268, 269, 634, 3804, 568, 547, 6952, 3165, 1318, 286, 634, 1806, 602, 2097, 547, 2247, 616, 834, 11004, 568, 513, 3376, 9165, 540, 1114, 14060, 538, 519, 1858, 2580, 610, 834, 11004, 568, 513, 7522, 9165, 540, 4316, 547, 20618, 585, 519, 2816, 257, 17361, 568, 2356, 6340, 540, 1945, 1808, 269, 2480, 2100, 568, 2356, 513, 3376, 2165, 269, 634, 4336, 543, 9165, 540, 10616, 538, 9431, 4882, 10967, 6665, 800, 3889, 3357, 2673, 547, 11528, 5821, 267, 30385, 316, 10912, 585, 14304, 30385, 316, 519, 6189, 540, 519, 2883, 1062, 267, 1312, 29143, 1227, 543, 693, 519, 3486, 270, 2958, 1308, 2157, 269, 1280, 1383, 267, 513, 3154, 6728, 602, 23619, 17405, 666, 6133, 14614, 267, 5144, 267, 19323, 5370, 267, 3092, 269, 3509, 12261, 1383, 5220, 5627, 834, 2675, 2100, 543, 4336, 257, 1107, 3943, 30165, 8675, 543, 3406, 2599, 585, 3943, 16627, 269, 5994, 596, 616, 593, 513, 546, 1442, 538, 519, 1647, 540, 513, 10720, 602, 568, 2407, 540, 3165, 543, 596, 723, 513, 2121, 269, 8859, 625, 540, 17361, 543, 8859, 625, 540, 9165, 616, 1079, 1271, 2994, 1031, 676, 1034, 540, 519, 3906, 547, 2744, 1942, 7145, 563, 763, 11615, 540, 4336, 267, 4564, 519, 9806, 538, 1942, 540, 2504, 676, 2810, 519, 4336, 540, 2504, 610, 519, 2450, 540, 519, 2030, 269, 4534, 17273, 476, 273, 540, 3382, 269, 1496, 2704, 15728, 667, 25941, 2401, 282, 28635, 20076, 670, 1731, 3626, 316, 4534, 834, 306, 7051, 543, 2480, 2100, 30211, 593, 3270, 540, 4853, 2208, 543, 28211, 538, 1614, 3056, 4853, 6082, 4534, 519, 2136, 2276, 267, 5125, 267, 543, 4279, 6628, 1701, 769, 9297, 267, 834, 324, 1595, 625, 257, 568, 24190, 609, 1942, 9806, 543, 834, 2675, 2100, 257, 568, 24190, 609, 3376, 2287, 2504, 4882, 26236, 998, 4129, 1881, 2472, 269, 546, 17739, 268, 16104, 26509, 3820, 269, 546, 17739, 268, 16104, 26509, 3820, 269, 676, 1635, 1258, 1325, 2917, 3040, 5988, 476, 2918, 267, 476, 1001, 274, 3040, 476, 273, 22227, 269, 8859, 625, 540, 17361, 5288, 2480, 2100, 269, 901, 2985, 5036, 856, 930, 1114, 10850, 602, 1683, 513, 4358, 1448, 585, 3206, 827, 875, 7184, 649, 1616, 2560, 12020, 1299, 6268, 281, 9165, 543, 4336, 2560, 5565, 540, 519, 1034, 3407, 2035, 538, 9297, 585, 11639, 616, 827, 875, 2208, 666, 2087, 707, 5377, 1899, 281, 8859, 625, 540, 4336, 2995, 596, 875, 4881, 513, 8273, 1870, 666, 2333, 707, 7443, 269, 8859, 625, 540, 9165, 616, 834, 324, 1553, 13853, 4646, 676, 3099, 267, 711, 4320, 257, 630, 1492, 8545, 1523, 568, 834, 324, 1595, 625, 540, 4336, 20257, 5192, 713, 689, 513, 5399, 256, 17361, 543, 9165, 2433, 519, 6384, 540, 4853, 16851, 269, 0, 7069, 1053, 991, 1377, 667, 2871, 3660, 7335, 2835, 865, 789, 666, 723, 2835, 547, 1224, 693, 741, 1377, 563, 2690, 1034, 540, 1250, 476, 2190, 9656, 1053, 267, 713, 568, 741, 1101, 942, 538, 606, 3872, 4259, 269, 1358, 2097, 547, 803, 11235, 547, 1451, 1142, 1554, 269, 3776, 1153, 568, 538, 513, 1360, 1970, 14227, 1858, 538, 4993, 267, 543, 782, 540, 1250, 1053, 20618, 585, 1863, 12899, 269, 15020, 1906, 267, 952, 1022, 267, 2661, 609, 1079, 3237, 269, 2368, 2661, 609, 22594, 945, 723, 2407, 26692, 267, 1247, 1866, 949, 581, 2713, 609, 513, 6536, 1920, 269, 5272, 1032, 594, 723, 1053, 945, 2661, 609, 741, 1920, 538, 513, 25880, 610, 25810, 269, 2368, 540, 938, 1053, 616, 15602, 610, 2661, 856, 540, 741, 1286, 563, 5472, 540, 1250, 1053, 4309, 1863, 14254, 267, 12899, 267, 543, 1139, 518, 630, 604, 789, 616, 538, 519, 1310, 17469, 1982, 1070, 543, 5822, 28610, 2501, 547, 938, 1153, 1142, 3923, 543, 2488, 14312, 5613, 543, 5388, 585, 1250, 1053, 543, 741, 3885, 547, 2972, 693, 1753, 563, 7069, 1053, 798, 711, 723, 1082, 2200, 693, 1753, 269, 594, 991, 547, 1683, 585, 873, 563, 296, 1616, 547, 1711, 606, 18136, 5399, 1141, 1250, 1053, 666, 979, 543, 1413, 693, 2835, 269, 1358, 786, 2965, 581, 2111, 547, 1224, 891, 2835, 269, 594, 1616, 547, 8141, 602, 1719, 267, 602, 1000, 30257, 538, 741, 4064, 950, 789, 1294, 513, 4241, 1433, 269, 594, 723, 1336, 1175, 519, 1259, 547, 798, 713, 563, 296, 991, 2871, 3660, 7335, 5426, 667, 2835, 602, 786, 581, 1175, 1318, 585, 1250, 2370, 3283, 563, 7197, 2835, 616, 1454, 1932, 2352, 585, 2947, 4458, 29419, 269, 3502, 891, 2835, 269, 1452, 2835, 616, 1175, 1318, 269, 1358, 723, 4121, 2614, 8289, 1913, 543, 917, 2614, 540, 519, 9904, 547, 581, 2111, 547, 1224, 891, 2835, 269, 1452, 2835, 786, 581, 3501, 585, 1250, 2370, 737, 1342, 657, 269, 901, 11556, 786, 3761, 1250, 1053, 609, 476, 736, 11470, 543, 476, 736, 27140, 5426, 667, 2835, 602, 1250, 1053, 786, 1224, 547, 741, 2295, 781, 1543, 2336, 4415, 519, 1840, 540, 891, 2835, 267, 938, 1433, 1858, 786, 581, 811, 899, 513, 21869, 648, 610, 513, 5399, 543, 594, 917, 1250, 1053, 786, 1616, 547, 1224, 811, 269, 594, 798, 711, 1616, 602, 8141, 547, 979, 856, 269, 594, 1616, 547, 1832, 1250, 1053, 9599, 543, 7722, 538, 2542, 269, 1452, 2835, 616, 1175, 1018, 789, 991, 269, 7102, 21856, 2179, 568, 1360, 1454, 15874, 256, 7490, 948, 1250, 1053, 1831, 1732, 3988, 676, 5885, 713, 1788, 256, 11289, 596, 2336, 2791, 24946, 2047, 547, 519, 4116, 610, 1788, 596, 1416, 827, 543, 1294, 1141, 1169, 13362, 596, 2285, 4422, 563, 22091, 663, 519, 834, 8489, 707, 21856, 4422, 257, 3296, 2630, 547, 1294, 4010, 1018, 11427, 269, 2677, 327, 335, 663, 324, 568, 31392, 2529, 2465, 938, 18083, 454, 347, 10817, 3660, 7335, 14635, 281, 5426, 667, 11470, 543, 27140, 1290, 2692, 630, 2412, 2835, 264, 3040, 31650, 297, 4065, 28390, 14321, 269, 5655, 1475, 272, 28390, 14321, 269, 5655, 2008, 5978, 2319, 1568, 2182, 547, 21907, 519, 1655, 14499, 543, 25926, 2139, 24707, 2347, 1592, 8058, 1447, 0, 20373, 901, 3239, 540, 519, 2136, 2276, 16672, 540, 14412, 568, 540, 519, 4749, 25735, 476, 9264, 274, 23678, 1324, 676, 5261, 808, 269, 12942, 269, 634, 2136, 2276, 16672, 540, 14412, 568, 513, 3948, 7550, 676, 519, 2552, 5799, 6837, 593, 5147, 476, 275, 267, 476, 10082, 277, 267, 799, 9307, 602, 519, 24369, 1977, 10125, 267, 1287, 693, 2112, 609, 4279, 6628, 267, 941, 1631, 4830, 2829, 267, 543, 3976, 1100, 3476, 513, 851, 540, 519, 3703, 7276, 269, 18838, 5097, 676, 7338, 16962, 267, 519, 16672, 568, 513, 6101, 7778, 540, 1946, 6837, 1185, 20366, 593, 5147, 476, 273, 547, 17551, 7115, 689, 4279, 6628, 267, 811, 982, 513, 1032, 1310, 519, 12176, 540, 519, 1977, 21829, 2782, 269, 634, 14512, 540, 519, 2136, 2276, 540, 3013, 910, 14412, 4303, 910, 568, 9976, 593, 5147, 476, 275, 628, 267, 519, 1554, 519, 2262, 532, 540, 519, 16672, 729, 9516, 676, 6837, 269, 9504, 269, 901, 3239, 2501, 689, 513, 2707, 607, 11855, 538, 519, 3239, 269, 1280, 811, 1344, 593, 519, 772, 2529, 269, 16672, 540, 14412, 3643, 281, 5291, 2517, 523, 25769, 3820, 269, 1677, 1224, 513, 13973, 540, 519, 2475, 16672, 540, 14412, 267, 610, 1224, 519, 4408, 540, 519, 1129, 619, 267, 3643, 519, 2817, 19964, 543, 19475, 10029, 693, 281, 5291, 2517, 4178, 269, 1105, 1161, 10993, 454, 32178, 10507, 1782, 518, 267, 28524, 2023, 22193, 267, 12309, 16588, 4595, 5130, 476, 1001, 272, 30310, 15048, 28982, 267, 594, 6415, 9400, 10507, 1782, 518, 267, 519, 17082, 540, 713, 12005, 11779, 19922, 563, 2690, 1034, 540, 1250, 4876, 594, 5249, 607, 606, 11653, 543, 2780, 12449, 11285, 269, 769, 811, 2487, 1296, 267, 594, 4362, 513, 15908, 540, 10478, 31150, 2959, 585, 8978, 267, 4277, 267, 610, 1271, 21305, 2592, 269, 594, 1201, 7875, 880, 873, 609, 12449, 3301, 543, 29501, 873, 593, 6149, 267, 22739, 267, 3574, 267, 1957, 267, 610, 4837, 538, 1585, 2081, 269, 901, 814, 3366, 547, 519, 6881, 540, 930, 4277, 11247, 269, 2368, 540, 519, 2164, 540, 713, 15908, 666, 581, 2938, 593, 713, 12005, 11779, 19922, 607, 1134, 607, 1250, 3896, 4179, 2517, 4178, 18192, 17448, 21553, 1645, 2593, 563, 296, 849, 960, 538, 513, 512, 15577, 543, 17758, 1870, 267, 4279, 20463, 570, 5268, 625, 543, 1621, 571, 1324, 630, 21923, 15288, 264, 538, 12567, 4975, 267, 12309, 269, 1411, 666, 3643, 721, 693, 8940, 3052, 805, 331, 752, 652, 5268, 625, 2593, 547, 1294, 930, 540, 519, 3688, 649, 1118, 543, 6133, 269, 594, 1982, 543, 7500, 938, 23678, 1324, 6191, 585, 512, 5268, 625, 543, 6284, 17758, 269, 1284, 723, 476, 276, 23678, 1324, 6191, 1519, 476, 274, 8955, 23678, 951, 543, 476, 273, 7344, 23678, 951, 269, 14691, 543, 4881, 873, 568, 606, 1148, 538, 922, 1378, 1318, 543, 3340, 606, 7499, 2070, 543, 946, 540, 2780, 12449, 3301, 563, 296, 2661, 538, 28524, 2023, 22193, 267, 12309, 609, 1250, 7385, 267, 27239, 269, 11289, 596, 585, 9683, 3240, 12005, 11779, 19922, 269, 1677, 2070, 811, 3140, 2592, 267, 3643, 1250, 3896, 693, 4179, 2517, 4178, 18192, 17448, 21553, 1645, 2593, 0, 2304, 4359, 1413, 693, 7344, 1374, 454, 10743, 538, 5213, 21025, 2465, 779, 11628, 20996, 5071, 5049, 6192, 1896, 8888, 7146, 20671, 3268, 547, 1711, 891, 6191, 269, 769, 713, 3381, 267, 789, 1590, 1449, 513, 4756, 547, 1294, 875, 789, 666, 2087, 741, 6272, 563, 1607, 568, 513, 512, 832, 542, 3440, 16695, 269, 1284, 267, 1318, 1631, 267, 649, 723, 1079, 1114, 4632, 281, 1215, 1454, 512, 832, 542, 568, 2965, 593, 519, 5569, 585, 519, 3196, 7485, 1394, 267, 543, 875, 5230, 519, 3440, 568, 267, 543, 875, 1346, 1079, 979, 1927, 267, 543, 875, 2484, 519, 3440, 31782, 2687, 547, 519, 2597, 540, 519, 3440, 563, 2171, 616, 3843, 547, 2268, 875, 2484, 547, 519, 13941, 513, 512, 832, 542, 3032, 777, 738, 666, 10131, 606, 1843, 543, 693, 1114, 13253, 269, 1284, 4076, 4121, 602, 607, 621, 8952, 2469, 267, 519, 8082, 6238, 547, 5957, 1524, 593, 519, 3032, 777, 738, 3294, 267, 543, 621, 3587, 1447, 3608, 693, 15246, 519, 1843, 563, 291, 19302, 13761, 3388, 267, 11516, 3481, 856, 267, 2813, 873, 782, 1107, 519, 2694, 1107, 538, 519, 23266, 1982, 269, 3973, 789, 19632, 621, 267, 519, 4890, 519, 6539, 607, 829, 519, 5528, 267, 621, 538, 23266, 538, 519, 1482, 1259, 267, 865, 1631, 789, 666, 1397, 875, 621, 3357, 1927, 563, 3383, 621, 779, 1044, 513, 2898, 2560, 621, 779, 3478, 547, 519, 1448, 1631, 609, 713, 267, 649, 2461, 4152, 593, 621, 267, 789, 1058, 581, 2111, 547, 4137, 856, 1018, 789, 1131, 1689, 593, 873, 547, 2087, 873, 610, 1374, 1945, 2147, 563, 10673, 21025, 2465, 15055, 547, 1832, 1010, 1053, 11112, 609, 2789, 3785, 2921, 1747, 693, 2899, 267, 543, 2221, 779, 8490, 14716, 1362, 729, 513, 3501, 1383, 269, 1261, 454, 763, 27254, 15050, 533, 7590, 1927, 267, 18274, 519, 32724, 543, 26549, 2696, 1142, 3018, 269, 13772, 543, 6432, 547, 1614, 2818, 2911, 827, 519, 1764, 519, 1995, 814, 593, 1866, 543, 2933, 563, 295, 558, 17360, 18437, 609, 11641, 334, 14036, 729, 593, 519, 3992, 1544, 543, 519, 10624, 585, 1053, 538, 2271, 549, 547, 26943, 2435, 8551, 269, 11819, 25138, 1744, 517, 6390, 1185, 1053, 0, 10743, 945, 798, 711, 723, 2123, 12215, 540, 519, 3184, 7148, 525, 602, 13173, 519, 623, 2863, 657, 632, 851, 5866, 1982, 543, 945, 6999, 547, 723, 12215, 1500, 540, 1585, 11271, 949, 798, 865, 693, 519, 24787, 540, 519, 8689, 540, 519, 1893, 2978, 269, 19923, 611, 1716, 334, 16948, 4938, 5429, 9222, 269, 5395, 543, 6480, 541, 4083, 18049, 10558, 4427, 31019, 633, 7638, 2125, 540, 21478, 269, 25824, 894, 538, 5053, 6875, 513, 2259, 7688, 593, 834, 8138, 31019, 633, 5288, 269, 1703, 616, 476, 3393, 2698, 3688, 563, 4131, 781, 2689, 519, 3604, 1063, 519, 1016, 31019, 633, 7099, 538, 5053, 543, 519, 3399, 7688, 1631, 563, 21581, 281, 1234, 1260, 328, 754, 334, 6446, 1016, 31019, 633 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 1007, 4367, 1982, 269, 634, 1871, 540, 891, 3292, 543, 741, 2104, 4287, 786, 581, 5941, 563, 11795, 3720, 538, 16537, 559, 16377, 1705, 711, 2272, 585, 8390, 538, 2927, 1746, 1851, 2048, 10048, 345, 534, 21034, 685, 630, 321, 1329, 2522, 12946, 1070, 2048, 305, 889, 571, 685, 630, 10585, 5186, 6137, 1070, 543, 2048, 306, 9774, 10830, 685, 630, 17641, 28480, 855, 4652, 8816, 995, 264, 10153, 1161, 630, 302, 548, 320, 20789, 335, 2801, 320, 700, 12175, 26269, 1851, 3339, 5613, 538, 606, 4870, 2803, 12412, 4667, 547, 581, 513, 1292, 3815, 538, 15725, 3803, 7031, 269, 3487, 1156, 665, 17369, 545, 4829, 540, 11313, 10048, 345, 534, 21034, 685, 543, 2048, 306, 9774, 10830, 685, 1705, 711, 8858, 4829, 6735, 269, 589, 1164, 6871, 540, 9065, 2737, 538, 2048, 306, 9774, 10830, 685, 8659, 14605, 2919, 21872, 5485, 338, 693, 1884, 4185, 543, 941, 711, 6992, 1242, 269, 4107, 540, 519, 1906, 851, 1156, 665, 17369, 545, 4829, 4646, 5555, 695, 337, 633, 1194, 543, 2612, 322, 2213, 563, 7230, 15772, 540, 5229, 10253, 26558, 2989, 5229, 16802, 540, 1896, 2038, 543, 3735, 28480, 11945, 28212, 269, 29439, 2718, 729, 1034, 2500, 1282, 519, 12614, 543, 1439, 540, 1964, 269, 4438, 2620, 1964, 267, 5229, 4336, 8851, 729, 2500, 1152, 950, 4294, 476, 273, 4374, 1354, 16550, 2175, 269, 6987, 847, 338, 540, 5229, 10253, 7409, 1243, 11945, 5229, 2736, 538, 20117, 269, 12559, 30241, 545, 3679, 630, 29866, 264, 949, 723, 1044, 3743, 585, 851, 610, 782, 540, 713, 6915, 13808, 267, 2094, 9474, 288, 7018, 538, 5229, 4336, 886, 639, 919, 543, 1223, 5372, 610, 12927, 519, 5229, 10253, 538, 20117, 269, 654, 895, 1790, 22004, 2802, 22005, 729, 711, 3238, 538, 519, 5229, 4336, 8851, 3210, 563, 1607, 1957, 6257, 519, 20296, 543, 5186, 6137, 2175, 538, 519, 2101, 890, 778, 1496, 7468, 684, 639, 1086, 3821, 630, 299, 4700, 645, 1846, 577, 316, 6721, 2127, 538, 519, 25878, 2136, 2276, 538, 476, 1960, 277, 269, 634, 890, 778, 543, 22060, 710, 7693, 729, 519, 10545, 2094, 476, 4198, 276, 1813, 547, 513, 3126, 540, 29099, 4411, 5210, 538, 5988, 267, 4728, 267, 543, 4989, 269, 30495, 1305, 729, 711, 14553, 513, 1599, 540, 3735, 28480, 269, 3143, 3099, 3812, 513, 2407, 7693, 2066, 519, 3148, 269, 3509, 1065, 3176, 569, 25836, 890, 2851, 5186, 5529, 14605, 269, 634, 1152, 890, 778, 610, 22060, 710, 8677, 602, 3812, 8101, 7031, 538, 2789, 6753, 941, 2387, 17442, 2776, 14741, 699, 3299, 2387, 305, 755, 517, 4414, 3299, 543, 2387, 6944, 2658, 8339, 15867, 6137, 2702, 540, 930, 9960, 25926, 2982, 602, 890, 778, 15470, 10892, 949, 581, 4824, 2417, 563, 1103, 5010, 3395, 4525, 519, 16036, 1974, 585, 1225, 7847, 543, 979, 846, 11241, 568, 2565, 547, 7693, 1646, 1317, 540, 5732, 14124, 5614, 8389, 7370, 269, 6601, 5338, 3292, 538, 7187, 4234, 6421, 1331, 5542, 585, 15470, 21084, 6127, 971, 607, 3735, 28480, 21274, 269, 4856, 341, 718, 529, 2916, 568, 7646, 518, 982, 25906, 525, 2504, 4525, 267, 609, 519, 3328, 5162, 5934, 2837, 827, 476, 1015, 290, 543, 519, 4411, 652, 6592, 4989, 2837, 540, 910, 276, 290, 538, 476, 4572, 277, 269, 634, 2063, 5614, 15470, 4386, 676, 4989, 476, 1691, 593, 3328, 269, 6168, 476, 1789, 28212, 543, 2249, 25926, 540, 1225, 7847, 543, 827, 602, 1482, 1297, 540, 979, 846, 11241, 941, 11117, 585, 28480, 543, 2927, 1746, 693, 519, 2817, 1849, 4689, 2885, 680, 11047, 3115, 12141, 269, 667, 919, 540, 1101, 16036, 267, 2063, 16036, 267, 1101, 18009, 2287, 267, 543, 2063, 18009, 2287, 1282, 476, 2735, 278, 998, 476, 2735, 280, 941, 6394, 269, 634, 13074, 18009, 2287, 1974, 267, 476, 11152, 2395, 267, 7018, 538, 476, 2735, 280, 593, 513, 5542, 540, 681, 269, 536, 675, 329, 1619, 674, 269, 5576, 28704, 269, 634, 20125, 18009, 2287, 1974, 538, 476, 2735, 280, 729, 476, 3583, 2395, 267, 9648, 538, 1082, 3109, 1225, 7949, 28212, 1519, 4563, 5181, 267, 12724, 14575, 267, 20840, 564, 267, 543, 12833, 15282, 269, 1452, 1482, 28212, 2838, 513, 2039, 689, 476, 7830, 547, 476, 5780, 2395, 547, 18009, 523, 544, 476, 2735, 278, 269, 1280, 519, 1296, 8947, 3976, 2484, 267, 519, 9998, 18009, 2287, 7389, 7018, 538, 476, 2735, 278, 267, 4358, 607, 2038, 607, 30486, 4266, 476, 5611, 282, 519, 5767, 18009, 2287, 4266, 630, 4572, 267, 30486, 264, 7018, 538, 476, 2735, 279, 269, 4578, 689, 476, 1960, 271, 786, 581, 4843, 269, 634, 2916, 538, 519, 7414, 19566, 568, 15028, 585, 519, 2504, 540, 1225, 7847, 543, 979, 846, 11241, 563, 20812, 8455, 561, 529, 1014, 28387, 1496, 292, 2396, 320, 6264, 604, 3271, 320, 630, 305, 2378, 4700, 1744, 4883, 20426, 729, 11117, 607, 2759, 8768, 543, 15496, 1494, 2371, 269, 28988, 1014, 28387, 568, 513, 1554, 9243, 4832, 28480, 2030, 28480, 4505, 693, 1164, 3395, 5210, 630, 1240, 4113, 270, 2918, 9180, 3781, 27473, 264, 982, 693, 1970, 5210, 269, 898, 568, 513, 3500, 3395, 2030, 267, 8506, 827, 476, 276, 547, 476, 277, 3275, 689, 521, 12976, 547, 15496, 269, 1280, 1424, 1974, 568, 827, 476, 273, 3275, 269, 8422, 2681, 14726, 616, 2139, 281, 4544, 267, 11909, 267, 543, 3043, 269, 8307, 519, 4544, 543, 3043, 616, 5078, 607, 2759, 5810, 269, 6168, 476, 274, 2759, 8768, 11710, 616, 3812, 829, 2030, 538, 519, 476, 272, 560, 16276, 4783, 267, 543, 20808, 519, 2030, 585, 513, 476, 273, 526, 7693, 568, 2808, 11552, 1595, 673, 269, 18227, 2298, 540, 519, 2759, 5810, 666, 581, 4824, 676, 24421, 532, 585, 476, 2190, 32162, 609, 513, 3070, 5627, 476, 276, 260, 547, 476, 1015, 260, 4006, 267, 543, 14909, 4544, 543, 11909, 1494, 2371, 941, 5833, 676, 30574, 609, 855, 534, 539, 1470, 545, 1395, 334, 268, 273, 269, 273, 1673, 574, 14007, 5139, 23432, 728, 630, 323, 3133, 9926, 728, 267, 645, 9539, 710, 1040, 634, 3043, 5252, 541, 1705, 711, 4431, 547, 2481, 3626, 345, 728, 855, 1705, 4431, 547, 3037, 3498, 540, 513, 268, 9871, 1886, 2643, 8584, 24179, 335, 2173, 996, 344, 2135, 2988, 1156, 2643, 9984, 276, 1790, 344, 3234, 539, 710, 18861, 630, 3599, 13232, 565, 1040, 10046, 1359, 1494, 2371, 1058, 581, 6738, 538, 519, 8511, 2394, 827, 3368, 540, 519, 8768, 19512, 593, 519, 2371, 1930, 267, 2094, 19512, 798, 711, 1020, 5265, 896, 1753, 2175, 563, 2704, 12107, 2504, 568, 11658, 547, 2127, 609, 693, 2547, 476, 4968, 28306, 4559, 269, 19139, 540, 2371, 609, 2539, 669, 3739, 4170, 568, 513, 10862, 538, 938, 1858, 269, 634, 28738, 625, 540, 1079, 1970, 669, 3739, 20956, 338, 269, 2387, 305, 534, 2946, 262, 543, 2387, 17746, 656, 7236, 262, 543, 835, 540, 5420, 669, 3739, 20956, 269, 2387, 290, 10052, 1512, 320, 262, 941, 6074, 585, 713, 1353, 269, 634, 5697, 4054, 941, 1930, 3542, 3990, 543, 476, 1911, 5452, 540, 1142, 3099, 941, 12630, 593, 1367, 17428, 1310, 1614, 3018, 32756, 269, 8422, 2516, 941, 4646, 2687, 547, 519, 3432, 540, 23286, 543, 1098, 680, 5896, 547, 519, 21543, 269, 634, 4266, 540, 28480, 540, 1142, 1367, 729, 6592, 269, 589, 2318, 9756, 729, 1336, 1063, 942, 540, 28480, 540, 519, 28738, 3218, 543, 602, 540, 519, 28738, 344, 7488, 540, 519, 5169, 269, 2201, 519, 13956, 775, 540, 2387, 290, 10052, 1512, 320, 3299, 513, 2318, 9756, 1063, 3432, 540, 23286, 543, 16036, 4266, 729, 4767, 269, 1717, 593, 2387, 17746, 656, 7236, 262, 543, 2387, 305, 534, 2946, 262, 28738, 625, 267, 519, 1482, 9756, 1185, 1100, 4644, 269, 2387, 290, 10052, 1512, 320, 262, 3812, 513, 476, 3393, 260, 540, 1970, 669, 3739, 10421, 18939, 267, 2387, 305, 534, 2946, 262, 1185, 476, 6858, 260, 543, 2387, 17746, 656, 7236, 262, 1185, 519, 2362, 2702, 547, 10141, 519, 1970, 669, 3739, 1915, 609, 513, 476, 4281, 260, 540, 519, 28738, 344, 609, 602, 16023, 563, 763, 2489, 14985, 540, 15496, 538, 10281, 9792, 320, 5672, 15577, 12848, 630, 1320, 684, 321, 4700, 5395, 269, 568, 602, 27536, 15632, 4386, 1282, 519, 2887, 3275, 609, 519, 8768, 17729, 519, 1739, 5614, 610, 4832, 269, 1717, 267, 3289, 9792, 320, 28212, 8428, 4922, 538, 741, 3448, 11606, 543, 8653, 540, 8768, 2504, 269, 634, 6662, 540, 713, 1353, 729, 547, 3313, 875, 11095, 15496, 3270, 3379, 1851, 1114, 3289, 9792, 320, 1024, 8040, 269, 10046, 1359, 729, 6353, 538, 476, 1240, 28212, 676, 12570, 8768, 22612, 538, 26862, 19512, 540, 476, 272, 4458, 6040, 11710, 602, 4607, 2067, 9205, 31602, 2175, 269, 12910, 1400, 543, 14694, 19512, 941, 26819, 539, 543, 27536, 11095, 3942, 19040, 9145, 641, 1227, 269, 769, 12363, 19512, 267, 8768, 1646, 729, 1360, 5812, 543, 7018, 538, 476, 1911, 260, 540, 19512, 585, 782, 28212, 4849, 2387, 288, 13433, 3873, 262, 630, 3451, 22103, 769, 4334, 267, 14694, 19512, 4951, 513, 2647, 8390, 538, 8768, 15632, 1851, 1024, 8040, 269, 2387, 288, 13433, 3873, 3299, 2387, 7922, 5241, 25968, 3299, 2387, 26466, 644, 18315, 3299, 543, 2387, 301, 580, 571, 262, 1185, 476, 1015, 260, 610, 7864, 14694, 19512, 609, 27536, 3355, 338, 269, 2387, 5472, 14400, 25925, 3299, 2387, 21837, 10548, 8124, 3299, 2387, 300, 553, 10937, 3299, 2387, 301, 18017, 1446, 3299, 543, 2387, 303, 10154, 5839, 262, 4951, 1164, 2157, 540, 27536, 15632, 630, 285, 10844, 22103, 10738, 513, 5252, 541, 267, 8768, 1646, 729, 811, 4359, 538, 12363, 982, 14694, 19512, 269, 769, 1896, 28212, 267, 513, 1713, 9756, 1063, 5229, 2450, 630, 26319, 264, 543, 27536, 3942, 729, 1336, 269, 1717, 267, 1970, 678, 30026, 2418, 8612, 602, 8768, 3942, 729, 6045, 7361, 1813, 547, 2188, 824, 982, 5229, 3259, 269, 901, 1353, 2982, 602, 27536, 15632, 3270, 4268, 6825, 569, 1851, 3289, 9792, 320, 28212, 543, 2488, 5813, 883, 1946, 28212, 8428, 538, 519, 6708, 543, 10727, 540, 12119, 28480, 269, 2637, 8040, 602, 4865, 27536, 2215, 867, 807, 538, 14694, 19512, 1131, 581, 21443, 762, 547, 2686, 2853, 602, 3986, 14694, 5229, 19874, 543, 20443, 28480, 563, 5472, 12677, 1554, 331, 1176, 28212, 3957, 689, 476, 1960, 275, 1700, 1220, 275, 941, 11117, 585, 5251, 2773, 543, 1554, 331, 1176, 15309, 630, 303, 25458, 27091, 31906, 665, 718, 573, 529, 264, 18687, 1282, 476, 1220, 274, 543, 476, 1220, 275, 269, 4980, 643, 1513, 3769, 2387, 14937, 7232, 26191, 853, 7578, 3299, 2387, 289, 1080, 344, 267, 2387, 299, 2465, 2041, 320, 21060, 9197, 2313, 3299, 2387, 5522, 636, 17828, 3299, 2387, 297, 644, 603, 3299, 2387, 30252, 11584, 1188, 3299, 2387, 29445, 569, 25753, 2280, 3299, 2387, 299, 1638, 17879, 17926, 3299, 2387, 299, 8014, 12359, 4068, 3299, 543, 2387, 290, 1817, 639, 7412, 8339, 645, 732, 10174, 2371, 941, 12630, 538, 6659, 15135, 7768, 540, 606, 9986, 643, 1512, 521, 2830, 3138, 600, 3037, 538, 2407, 3141, 543, 4607, 12555, 607, 2877, 547, 2061, 2566, 269, 10439, 2298, 16863, 941, 1500, 12353, 689, 476, 866, 4455, 269, 1700, 1839, 4239, 269, 476, 1220, 274, 543, 476, 1428, 3057, 269, 1700, 736, 20029, 269, 476, 1220, 275, 269, 10439, 2298, 16863, 3769, 2208, 4356, 267, 1759, 593, 11741, 1145, 267, 16714, 2681, 267, 7833, 640, 267, 543, 2949, 15312, 267, 543, 15496, 267, 1759, 593, 15325, 543, 3308, 9029, 269, 4033, 8768, 7422, 941, 1500, 538, 2543, 547, 942, 538, 5229, 543, 8445, 28480, 5712, 936, 519, 1482, 942, 14604, 269, 10046, 1359, 7422, 8612, 602, 2387, 14937, 661, 26191, 853, 7578, 262, 543, 2387, 289, 1080, 344, 262, 941, 519, 1152, 28212, 6029, 6325, 10956, 16036, 1761, 269, 7324, 519, 824, 28212, 267, 2387, 297, 644, 603, 262, 729, 519, 9998, 547, 5229, 543, 16036, 267, 855, 849, 1185, 513, 28480, 1974, 540, 1152, 476, 273, 1700, 274, 4374, 3379, 547, 476, 275, 1700, 276, 4374, 540, 16036, 585, 824, 28212, 269, 4303, 331, 1176, 15309, 16863, 941, 3144, 538, 20029, 269, 543, 8734, 269, 476, 1220, 274, 543, 538, 4119, 269, 543, 8734, 269, 476, 1220, 275, 269, 681, 755, 729, 1034, 4049, 593, 2387, 297, 644, 603, 3299, 2387, 299, 2465, 2041, 320, 21060, 9197, 2313, 3299, 2387, 30252, 11584, 1188, 3299, 543, 2387, 299, 8014, 12359, 4068, 8339, 2387, 297, 644, 603, 262, 543, 2387, 299, 2465, 2041, 320, 21060, 9197, 2313, 262, 4951, 15309, 2589, 4505, 982, 824, 28212, 269, 2387, 5522, 636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12739, 276, 267, 620, 323, 9007, 538, 476, 10204, 277, 267, 543, 4123, 25650, 538, 476, 15876, 272, 269, 1261, 729, 519, 2749, 781, 15518, 622, 693, 519, 3084, 1554, 538, 476, 14378, 274, 268, 1691, 267, 476, 14378, 280, 543, 476, 15094, 274, 563, 11321, 3072, 7466, 267, 1101, 538, 476, 15433, 277, 609, 9697, 541, 2088, 661, 327, 1066, 322, 1258, 320, 267, 4535, 538, 476, 15433, 277, 267, 5747, 538, 476, 10204, 280, 630, 3147, 1800, 547, 1323, 10517, 476, 14378, 272, 1040, 4173, 3237, 941, 14086, 28018, 528, 661, 20891, 30623, 18288, 267, 12321, 559, 269, 661, 327, 1066, 322, 1258, 320, 1100, 269, 476, 279, 8064, 267, 4535, 476, 13679, 272, 267, 5747, 476, 12739, 276, 543, 9697, 541, 2088, 674, 18636, 16660, 8250, 540, 6300, 24010, 538, 24415, 684, 2605, 753, 674, 18636, 16660, 267, 10362, 547, 513, 3943, 19366, 1920, 543, 26701, 2088, 269, 12968, 12061, 267, 9310, 519, 2034, 942, 538, 476, 14378, 272, 609, 12540, 732, 3279, 670, 2358, 267, 4535, 476, 12739, 279, 267, 5747, 476, 10082, 273, 267, 8250, 540, 519, 25650, 540, 6214, 538, 918, 7238, 4771, 14161, 670, 1170, 532, 267, 4535, 476, 13932, 277, 267, 5747, 538, 476, 10204, 274, 543, 22526, 8891, 516, 563, 763, 1920, 670, 2358, 6508, 689, 9986, 1993, 670, 2358, 267, 513, 16027, 781, 5067, 689, 519, 6532, 670, 2358, 523, 3544, 20944, 1156, 7921, 267, 12236, 1010, 1259, 909, 689, 21821, 539, 812, 547, 13030, 8098, 12637, 543, 16710, 532, 20229, 538, 918, 31258, 23152, 1282, 661, 20891, 2473, 4353, 781, 942, 269, 16840, 540, 519, 1920, 723, 1044, 679, 333, 984, 1194, 607, 670, 2358, 518, 1100, 269, 476, 1220, 273, 543, 3571, 902, 330, 7238, 671, 1100, 269, 476, 13975, 272, 267, 855, 891, 1899, 1137, 616, 17255, 538, 13785, 269, 769, 18940, 513, 15626, 543, 513, 3046, 11102, 1920, 670, 2358, 518, 3470, 1161, 563, 297, 2129, 534, 2274, 6359, 601, 4607, 538, 1010, 1101, 7365, 2185, 1453, 267, 1079, 20766, 543, 1079, 14930, 269, 6196, 652, 8250, 9697, 541, 2088, 267, 4535, 476, 15433, 280, 267, 5747, 476, 10204, 271, 267, 519, 21836, 17555, 12540, 732, 3279, 267, 4535, 476, 10204, 274, 267, 5747, 476, 12293, 272, 267, 729, 9310, 538, 476, 15094, 275, 609, 519, 8178, 528, 540, 631, 1149, 17713, 645, 329, 2075, 1156, 3780, 267, 4535, 476, 15433, 272, 267, 5747, 476, 11260, 271, 269, 4256, 1079, 14930, 941, 27585, 539, 607, 7192, 645, 329, 17064, 26408, 1100, 269, 476, 1960, 276, 563, 763, 7800, 652, 5067, 2977, 534, 2274, 6359, 601, 267, 4535, 476, 15433, 278, 267, 5747, 538, 476, 14378, 271, 950, 19801, 607, 513, 2875, 538, 772, 653, 338, 8403, 269, 634, 21836, 661, 20891, 2274, 6359, 601, 267, 4535, 476, 10204, 273, 267, 5747, 519, 1482, 1032, 563, 1103, 1010, 2034, 7365, 2977, 534, 2274, 6359, 601, 4607, 1614, 20766, 543, 2185, 14930, 269, 634, 7800, 652, 8250, 15016, 549, 267, 4535, 476, 15094, 275, 267, 5747, 1762, 269, 634, 2034, 9510, 269, 4477, 6511, 3204, 2088, 267, 4535, 476, 15094, 277, 267, 5747, 476, 5197, 276, 267, 3357, 519, 1101, 942, 538, 476, 14690, 278, 883, 1319, 3234, 3415, 609, 5518, 14199, 15656, 700, 6686, 339, 651, 2006, 267, 10362, 547, 513, 4436, 1920, 267, 945, 729, 27585, 539, 538, 13785, 538, 476, 10082, 274, 547, 700, 6686, 339, 651, 2006, 1100, 269, 476, 1708, 279, 269, 4173, 2034, 7365, 538, 476, 11260, 275, 729, 609, 9114, 23133, 538, 519, 18243, 31118, 2977, 534, 14161, 661, 5287, 6199, 1100, 269, 476, 5325, 277, 267, 4535, 476, 15094, 276, 267, 5747, 476, 12293, 272, 269, 634, 21836, 8250, 2441, 2088, 5747, 1762, 563, 763, 7800, 652, 5067, 540, 519, 2034, 7365, 267, 2977, 534, 2274, 6359, 601, 267, 4535, 538, 476, 14378, 273, 267, 834, 933, 752, 538, 1072, 2580, 5747, 538, 476, 12293, 274, 796, 3405, 3072, 269, 634, 2034, 5067, 729, 14161, 267, 4535, 476, 14378, 275, 267, 5747, 476, 14378, 278, 269, 634, 3791, 8834, 2274, 6359, 601, 267, 4535, 476, 14378, 278, 267, 5747, 476, 9965, 272, 267, 729, 606, 22961, 823, 693, 14351, 27048, 781, 10470, 538, 476, 15876, 276, 267, 7803, 1876, 804, 17064, 693, 519, 2749, 5480, 476, 14690, 276, 267, 1876, 804, 17064, 693, 519, 10456, 5441, 543, 4012, 626, 3433, 476, 11260, 275, 543, 1876, 804, 17064, 693, 519, 16011, 8065, 538, 476, 11260, 278, 269, 2991, 1614, 8942, 693, 519, 4012, 626, 3433, 781, 6069, 7477, 656, 620, 323, 9007, 2990, 267, 855, 2348, 1044, 5293, 936, 1142, 942, 267, 646, 4607, 538, 476, 12293, 274, 513, 865, 10777, 834, 11847, 25730, 21459, 332, 752, 339, 968, 543, 1318, 547, 519, 1985, 610, 8772, 942, 729, 8214, 539, 593, 547, 620, 323, 9007, 781, 11556, 269, 901, 7018, 1985, 1032, 543, 538, 476, 12293, 276, 646, 4607, 519, 1379, 540, 18607, 607, 2749, 23122, 563, 1103, 476, 14690, 277, 646, 9310, 4432, 529, 9278, 595, 690, 749, 267, 4535, 476, 15094, 279, 267, 5747, 476, 9692, 279, 267, 8250, 540, 519, 3284, 6139, 322, 776, 4864, 4168, 595, 690, 749, 543, 2826, 320, 18479, 517, 7702, 2098, 328, 969, 690, 601, 269, 1261, 4607, 1614, 20766, 267, 12540, 732, 3279, 18479, 517, 7702, 267, 4535, 538, 476, 14690, 280, 267, 9310, 538, 476, 12293, 279, 609, 519, 3935, 601, 543, 19524, 693, 966, 1314, 27048, 2977, 534, 29775, 2378, 13153, 19537, 651, 267, 4535, 476, 15094, 277, 267, 5747, 476, 9692, 273, 267, 5345, 320, 267, 4535, 476, 11260, 272, 267, 5747, 476, 11260, 274, 267, 543, 670, 539, 23143, 267, 4535, 538, 476, 11260, 277, 267, 5747, 538, 476, 11260, 278, 563, 297, 2129, 534, 2274, 6359, 601, 779, 8772, 5067, 689, 1010, 2034, 7365, 267, 14161, 2274, 6359, 601, 267, 4535, 538, 476, 14378, 279, 267, 5747, 538, 476, 9965, 280, 267, 693, 670, 1998, 26684, 538, 3794, 611, 327, 2459, 541, 25110, 540, 17833, 3405, 6019, 267, 2968, 22961, 823, 538, 519, 5441, 540, 631, 1149, 538, 476, 15876, 277, 267, 552, 269, 334, 269, 1876, 804, 17064, 538, 476, 14690, 271, 267, 3493, 14280, 2555, 626, 476, 14690, 275, 267, 2834, 2555, 626, 476, 14690, 278, 267, 2920, 532, 14086, 9457, 538, 590, 7238, 323, 9007, 1633, 543, 3331, 500, 560, 1120, 7238, 339, 1633, 476, 11260, 273, 267, 14086, 9457, 609, 2407, 7060, 538, 476, 11260, 280, 267, 14086, 9457, 538, 21502, 1633, 476, 12293, 275, 267, 759, 11220, 607, 14086, 6076, 322, 650, 528, 538, 476, 9965, 278, 563, 3891, 9310, 21853, 27996, 661, 5287, 6199, 538, 476, 6977, 274, 267, 4535, 476, 15094, 273, 267, 5747, 476, 12293, 275, 267, 8250, 540, 18279, 540, 21696, 22784, 660, 345, 661, 5287, 6199, 1100, 269, 476, 5325, 277, 538, 670, 1998, 26684, 543, 7325, 10005, 4432, 529, 9278, 918, 7238, 333, 12127, 8583, 1100, 269, 476, 16328, 276, 269, 1261, 4607, 1614, 20766, 543, 1614, 14930, 269, 2353, 519, 20766, 5293, 2476, 693, 513, 1762, 2085, 796, 3405, 3072, 267, 12077, 12540, 732, 15925, 7325, 10005, 267, 4535, 476, 11260, 275, 267, 5747, 476, 10082, 278, 267, 21853, 27996, 4864, 320, 267, 4535, 476, 11260, 277, 267, 5747, 476, 12293, 275, 267, 543, 4477, 6511, 3204, 2088, 267, 4535, 538, 476, 11260, 278, 267, 5747, 538, 476, 10082, 274, 563, 763, 7800, 652, 540, 519, 1614, 14930, 267, 2977, 534, 14161, 2274, 6359, 601, 267, 4535, 538, 476, 11260, 276, 267, 2968, 538, 476, 10082, 274, 22961, 823, 538, 519, 5441, 540, 631, 1149, 267, 855, 5747, 519, 1482, 1032, 267, 796, 3405, 3072, 282, 519, 2034, 7800, 652, 267, 22784, 660, 345, 5261, 2274, 6359, 601, 267, 4535, 538, 476, 11260, 280, 267, 9411, 593, 5130, 476, 2764, 267, 476, 9965, 276, 883, 7365, 609, 29775, 2378, 9366, 21853, 27996, 654, 337, 13370, 7192, 32371, 522, 577, 654, 778, 1088, 267, 4535, 476, 12293, 275, 267, 5747, 476, 5197, 279, 267, 8250, 540, 31924, 4211, 20325, 601, 29775, 2378, 21853, 20891, 654, 337, 13370, 7192, 32371, 522, 577, 654, 778, 1088, 1100, 269, 476, 6977, 271, 543, 26701, 2088, 22526, 13153, 853, 7596, 523, 269, 1261, 5747, 267, 2705, 267, 593, 5412, 476, 1704, 519, 1482, 1032, 267, 543, 1010, 30612, 2185, 1296, 2663, 538, 476, 9965, 280, 1586, 9411, 883, 7365, 609, 1200, 1101, 9393, 781, 23013, 781, 5067, 268, 519, 8178, 528, 2977, 534, 7192, 645, 329, 17064, 26408, 1100, 269, 476, 1960, 276, 267, 4535, 538, 476, 12293, 274, 267, 5747, 538, 476, 9264, 274, 563, 9515, 4607, 689, 1200, 1101, 7365, 513, 8250, 21853, 27996, 22526, 2274, 6359, 601, 267, 4535, 476, 9965, 276, 267, 5747, 476, 8687, 274, 538, 14351, 27048, 267, 9310, 547, 519, 23122, 2977, 534, 29775, 2378, 19748, 651, 563, 300, 1456, 6076, 322, 650, 528, 14161, 2274, 6359, 601, 779, 21836, 5067, 21853, 20891, 2274, 6359, 601, 267, 4535, 476, 12293, 272, 267, 5747, 476, 9692, 276, 693, 670, 1998, 26684, 267, 2968, 513, 2034, 9114, 23133, 538, 519, 3751, 781, 13574, 31118, 267, 31924, 267, 9310, 538, 476, 9965, 275, 609, 25795, 3570, 661, 327, 1066, 3405, 1188, 267, 4535, 476, 11260, 277, 267, 5747, 476, 9692, 279, 267, 8250, 540, 31924, 26056, 11977, 661, 327, 1066, 3405, 1188, 1100, 269, 476, 14695, 272, 543, 12246, 13860, 3220, 13370, 267, 519, 8250, 540, 519, 632, 534, 3220, 13370, 540, 513, 1920, 799, 568, 2808, 547, 22132, 689, 700, 643, 8205, 269, 1261, 5833, 689, 741, 7365, 3670, 1453, 267, 12077, 912, 10111, 331, 2274, 6359, 601, 267, 4535, 476, 9965, 275, 267, 5747, 476, 9692, 280, 693, 670, 1998, 26684, 267, 1583, 613, 656, 267, 543, 609, 1864, 1163, 1600, 519, 2274, 6359, 601, 15913, 1100, 269, 476, 14631, 272, 563, 7656, 269, 14088, 2274, 6359, 601, 267, 519, 9632, 267, 4535, 476, 14341, 274, 267, 5747, 476, 12739, 277, 267, 4793, 20891, 10370, 749, 781, 3791, 5067, 267, 729, 513, 21471, 538, 14351, 27048, 269, 3057, 3072, 538, 519, 2038, 476, 14917, 271, 338, 609, 4477, 6511, 7101, 537, 267, 4535, 538, 519, 2038, 476, 13932, 271, 338, 267, 5747, 538, 476, 10204, 272, 269, 4173, 3237, 941, 21471, 538, 14351, 27048, 543, 4401, 4103, 8227, 14088, 7101, 537, 267, 4535, 827, 476, 14065, 271, 267, 5747, 538, 476, 12739, 278, 543, 1010, 1101, 7385, 267, 4535, 667, 816, 267, 8250, 540, 519, 1657, 268, 20197, 13862, 4557, 656, 540, 7439, 320, 543, 14811, 525, 5599, 2127, 1656, 619, 667, 816, 267, 4535, 538, 476, 13679, 273, 267, 543, 4432, 529, 9278, 5576, 2801, 6359, 267, 5747, 476, 15757, 274, 269, 14088, 7101, 537, 779, 4651, 15243, 7101, 537, 1185, 900, 332, 580, 3603, 689, 10430, 1556, 547, 14351, 27048, 267, 1141, 646, 2968, 513, 7986, 21471, 563, 8170, 14088, 2274, 6359, 1564, 9632, 1453, 267, 2947, 20766, 267, 782, 9310, 267, 609, 22979, 1634, 267, 12077, 912, 763, 22660, 540, 519, 28334, 700, 4768, 514, 538, 13785, 267, 700, 1513, 9986, 1993, 26856, 267, 568, 5156, 547, 723, 20705, 547, 513, 4914, 15626, 1920, 630, 5976, 513, 31444, 331, 3529, 538, 2699, 2361, 538, 519, 10359, 6361, 268, 15767, 1070, 543, 8452, 827, 476, 14991, 276, 538, 13785, 267, 1141, 646, 2968, 513, 32548, 858, 693, 6008, 613, 321, 3073, 543, 5747, 538, 476, 8182, 277, 538, 590, 7238, 1457, 330, 7238, 4771, 563, 297, 644, 603, 267, 9310, 538, 476, 10204, 278, 609, 519, 17135, 540, 853, 269, 918, 641, 1706, 6199, 6019, 267, 7022, 540, 519, 22159, 9730, 538, 623, 9593, 16492, 1325, 3691, 19816, 14811, 6199, 267, 12321, 559, 269, 700, 5407, 920, 583, 345, 269, 4535, 476, 15757, 275, 267, 5747, 476, 14690, 275, 267, 543, 8694, 5128, 1010, 15626, 22871, 267, 543, 454, 288, 5067, 267, 610, 2864, 5310, 1178, 2738, 517, 267, 540, 14088, 2274, 6359, 601, 519, 26744, 267, 4440, 9114, 23133, 538, 11683, 4937, 31578, 918, 745, 572, 779, 595, 10052, 787, 7304, 1122, 2939, 14161, 2274, 6359, 601, 267, 945, 729, 609, 1010, 31458, 693, 667, 22448, 1440, 1598, 7238, 332, 5443, 543, 3144, 26956, 1310, 519, 6370, 540, 623, 738, 16305, 543, 3144, 547, 18578, 11169, 330, 538, 27584, 4997, 267, 1141, 646, 729, 29041, 547, 2669, 1282, 513, 4254, 678, 3999, 799, 10393, 7018, 538, 4989, 476, 3066, 267, 476, 14378, 273, 267, 1247, 513, 14042, 3595, 10032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2878, 17345, 5149, 281, 9608, 21940, 2456, 4373, 5331, 596, 2811, 4730, 707, 5172, 3381, 3014, 267, 543, 10393, 267, 835, 540, 707, 2828, 1178, 2125, 707, 17120, 543, 6238, 4730, 1510, 6998, 269, 2107, 6148, 2576, 18664, 4900, 707, 5172, 1433, 1510, 2479, 13059, 621, 269, 6496, 713, 1118, 596, 1745, 13943, 286, 1403, 865, 267, 596, 723, 4810, 513, 18670, 540, 2123, 6302, 2439, 1262, 1432, 616, 9608, 21940, 2456, 15140, 23114, 6302, 616, 15865, 3515, 602, 5581, 1018, 2623, 649, 1265, 11807, 689, 1866, 1472, 721, 269, 1358, 666, 4019, 547, 938, 2168, 2230, 630, 3697, 17596, 930, 4805, 942, 1070, 4664, 630, 7945, 607, 14045, 945, 666, 2285, 721, 5796, 827, 4606, 1070, 2418, 630, 15290, 1004, 2119, 547, 18609, 721, 741, 8369, 616, 1318, 1070, 543, 1256, 1570, 1919, 899, 9162, 267, 2835, 267, 610, 19269, 269, 11109, 2178, 2123, 6302, 2337, 721, 2149, 6000, 9308, 543, 14156, 1247, 4509, 2635, 3347, 609, 1866, 780, 1262, 3963, 3657, 9608, 21940, 2456, 12830, 15140, 13914, 540, 2123, 6302, 899, 513, 14500, 3774, 1107, 789, 1832, 856, 13311, 28164, 855, 849, 1450, 11967, 16167, 547, 4283, 9108, 269, 1879, 649, 3715, 2312, 2123, 6302, 267, 649, 4001, 824, 1004, 875, 547, 1521, 721, 609, 2463, 543, 11587, 269, 898, 3587, 4443, 585, 873, 547, 1174, 1018, 2306, 721, 6899, 610, 13943, 269, 901, 1259, 267, 3025, 3238, 5932, 8902, 4296, 1759, 593, 3972, 543, 8994, 1620, 780, 1262, 30787, 2659, 13574, 21940, 2456, 4373, 2414, 1305, 707, 1378, 2123, 6302, 267, 1246, 891, 3268, 1384, 272, 269, 2608, 15447, 3054, 15846, 13760, 707, 15055, 267, 20247, 10105, 267, 2115, 267, 543, 6499, 269, 14484, 593, 3871, 1141, 596, 5433, 13943, 610, 13347, 282, 1346, 1223, 5815, 10465, 19374, 563, 273, 269, 2608, 26368, 12153, 15846, 25506, 2238, 267, 4025, 267, 610, 5615, 602, 1522, 4161, 707, 6302, 269, 1280, 1383, 267, 952, 596, 1810, 1405, 2972, 4687, 1426, 267, 2697, 602, 607, 513, 10465, 1354, 4189, 609, 2828, 563, 274, 269, 2608, 2750, 12304, 5693, 15846, 4004, 6510, 707, 6302, 7682, 1947, 2943, 1135, 7019, 269, 2422, 968, 296, 892, 6898, 3079, 540, 1025, 5446, 1866, 269, 5502, 540, 6031, 267, 968, 2791, 2141, 1491, 1250, 8631, 17373, 2161, 1945, 899, 267, 968, 296, 1745, 811, 6899, 950, 594, 917, 1141, 1250, 28378, 616, 269, 2052, 596, 5225, 2307, 803, 1354, 24228, 4376, 18313, 275, 269, 2608, 18184, 6109, 15846, 2142, 5812, 543, 1796, 909, 585, 707, 6302, 1256, 950, 5185, 609, 4187, 269, 4658, 949, 1449, 707, 7182, 267, 2523, 7620, 269, 1717, 267, 3314, 602, 4259, 543, 5329, 707, 6302, 2636, 596, 547, 1628, 6793, 3347, 538, 519, 1279, 2196, 563, 276, 269, 2608, 3725, 6665, 527, 543, 4188, 15846, 3683, 942, 267, 556, 24834, 10663, 2436, 1978, 6302, 1869, 4196, 596, 1134, 269, 5020, 2242, 1611, 938, 6302, 1522, 991, 21130, 1932, 269, 13773, 1930, 547, 22212, 873, 9935, 780, 8855, 267, 4259, 2123, 6302, 3217, 2259, 267, 9639, 267, 543, 1582, 18221, 269, 1635, 1565, 547, 2226, 707, 1378, 2123, 10665, 267, 596, 948, 1711, 513, 1158, 4904, 609, 2318, 4205, 543, 18668, 267, 8902, 3347, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20124, 676, 654, 754, 344, 26943, 591, 6202, 700, 4768, 773, 15966, 1195, 267, 2451, 267, 8227, 540, 25357, 676, 519, 26864, 267, 543, 12891, 2917, 7585, 3796, 267, 4558, 9614, 267, 8661, 519, 1847, 547, 513, 1007, 4087, 2282, 519, 29106, 12567, 269, 4256, 2025, 2679, 593, 717, 720, 25376, 4582, 731, 11542, 538, 519, 2619, 540, 519, 2104, 4741, 5244, 3118, 10137, 267, 799, 786, 3095, 717, 720, 547, 570, 2194, 7002, 20000, 2282, 12052, 4741, 32041, 563, 1492, 1857, 1848, 20620, 340, 7246, 6579, 15760, 5990, 631, 17920, 267, 8525, 589, 275, 579, 299, 6865, 3008, 20911, 312, 267, 8525, 589, 1556, 579, 5183, 312, 12813, 4785, 645, 2894, 9128, 3951, 306, 267, 8525, 589, 1724, 454, 10890, 289, 550, 517, 6363, 17213, 4802, 18850, 2774, 8525, 589, 2767, 10691, 11246, 3036, 8025, 312, 5147, 476, 1708, 273, 11730, 476, 2641, 1923, 17136, 476, 278, 3163, 1299, 5303, 623, 13585, 299, 24977, 454, 3528, 654, 754, 344, 26943, 591, 6202, 4757, 11333, 2593, 454, 3528, 654, 754, 344, 26943, 591, 6202, 18078, 17106, 11333, 3820, 454, 4415, 3284, 3098, 547, 519, 26478, 15928, 740, 267, 2441, 2088, 700, 5557, 2284, 6487, 513, 3364, 610, 1079, 1317, 1352, 779, 2938, 513, 3364, 610, 1079, 269, 2701, 6594, 6323, 547, 1831, 513, 7548, 267, 1287, 9250, 1079, 4213, 602, 22848, 877, 1561, 321, 762, 12918, 547, 1967, 269, 1306, 8689, 540, 5010, 1436, 585, 519, 7414, 19566, 2817, 12524, 267, 1352, 14405, 593, 782, 1200, 1995, 547, 7903, 1099, 565, 522, 4445, 2919, 693, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23114, 21940, 2456, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 4223, 1005, 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, 2290, 281, 1323, 11137, 540, 674, 5424, 5882, 2871, 10560, 3752, 657, 692, 763, 1158, 540, 9416, 5882, 13176, 1151, 657, 568, 5318, 543, 3309, 267, 21214, 1585, 11964, 971, 607, 15690, 267, 21462, 267, 8106, 267, 543, 12563, 2575, 269, 901, 3184, 6663, 547, 1683, 606, 7650, 540, 713, 9159, 7574, 7706, 267, 5373, 6667, 689, 23806, 899, 594, 341, 528, 631, 1515, 1218, 945, 8329, 3648, 547, 5935, 519, 5177, 781, 13176, 6429, 269, 1284, 786, 2263, 1010, 3460, 689, 1373, 851, 540, 513, 12021, 7333, 14765, 6512, 1282, 519, 2038, 15690, 5736, 547, 4742, 513, 11358, 4137, 538, 519, 3703, 13176, 2146, 780, 2414, 2253, 267, 1577, 721, 1174, 1018, 13054, 9416, 5882, 13176, 4730, 269, 2311, 922, 4295, 267, 621, 3322, 726, 31902, 519, 12673, 14350, 1210, 11263, 3079, 540, 513, 4584, 267, 7551, 3850, 585, 3152, 32609, 614, 640, 267, 1852, 267, 543, 2769, 4369, 269, 3245, 972, 267, 5716, 666, 5490, 883, 1950, 2553, 899, 14595, 16116, 267, 5841, 2800, 9582, 267, 26378, 267, 15942, 267, 543, 17200, 268, 976, 9706, 1638, 32187, 910, 782, 7533, 2609, 602, 3565, 547, 2870, 6946, 543, 2502, 15747, 15885, 780, 13010, 267, 13215, 9416, 5882, 4480, 10741, 909, 7399, 585, 3695, 1114, 7574, 6163, 269, 1280, 3236, 267, 1491, 519, 1383, 540, 808, 768, 320, 918, 879, 330, 517, 523, 267, 7247, 631, 1515, 1218, 32524, 609, 538, 519, 3735, 13683, 625, 543, 11157, 625, 269, 19612, 585, 1010, 960, 609, 16962, 5794, 30350, 543, 12182, 570, 10044, 267, 918, 879, 330, 517, 523, 781, 1935, 547, 9416, 5882, 13176, 20502, 875, 2757, 12563, 543, 21462, 3270, 666, 19467, 16900, 609, 4224, 15312, 269, 1635, 4974, 741, 1568, 267, 2413, 12372, 666, 2744, 3407, 4030, 883, 16471, 19635, 7506, 1247, 4509, 2189, 9163, 1369, 741, 9757, 12137, 1127, 780, 6637, 5565, 281, 19484, 519, 2871, 10560, 674, 4958, 4580, 692, 3080, 2629, 2460, 540, 4597, 532, 693, 9416, 5882, 13176, 1151, 657, 6013, 538, 3384, 15334, 936, 519, 6293, 781, 11768, 1107, 4481, 267, 5432, 1944, 13951, 609, 519, 13176, 31361, 4580, 269, 6490, 528, 1436, 5751, 4196, 607, 5140, 4358, 2798, 585, 2679, 4887, 3965, 543, 2790, 7851, 540, 2139, 4967, 2066, 1954, 1206, 543, 12673, 269, 1677, 7520, 1565, 267, 2015, 14139, 14839, 2994, 267, 1997, 908, 5546, 543, 3270, 609, 1808, 16147, 642, 18757, 902, 610, 10253, 780, 11101, 267, 3314, 602, 3608, 946, 540, 1930, 12673, 950, 14335, 23964, 610, 735, 532, 3297, 1151, 657, 666, 1291, 547, 811, 6422, 12417, 269, 7046, 7113, 902, 2099, 1776, 28627, 4502, 14236, 282, 789, 2709, 4244, 5380, 593, 3044, 25122, 267, 30196, 4195, 521, 4577, 8916, 7996, 547, 581, 8268, 780, 6637, 8422, 281, 5548, 1324, 1546, 4177, 883, 2637, 637, 692, 3086, 602, 649, 723, 3964, 13654, 1702, 3823, 9416, 5882, 13176, 4480, 543, 10188, 519, 31361, 4580, 1577, 721, 8399, 676, 6313, 1367, 11964, 811, 5702, 269, 3776, 1445, 786, 2611, 593, 1346, 5018, 4505, 281, 15690, 267, 21462, 267, 8106, 267, 543, 12563, 2575, 780, 1103, 15690, 267, 5159, 899, 15608, 10426, 267, 24380, 27293, 267, 543, 6723, 645, 21672, 2451, 30170, 7436, 998, 741, 5499, 4485, 2509, 27906, 5314, 543, 10103, 269, 24356, 741, 19827, 2636, 4207, 12372, 547, 5660, 519, 16082, 7915, 538, 18711, 11733, 267, 6905, 22334, 267, 543, 1110, 531, 20049, 269, 3958, 267, 1098, 21564, 11599, 1151, 657, 5713, 607, 513, 5614, 4580, 585, 14237, 2123, 4938, 629, 983, 625, 14869, 539, 538, 2245, 2943, 3982, 1947, 3312, 780, 7922, 1132, 7192, 20601, 15606, 949, 2490, 547, 18544, 971, 607, 7917, 9652, 267, 32559, 29965, 267, 543, 1234, 3164, 526, 27722, 16026, 585, 5583, 269, 1452, 13009, 4565, 1794, 619, 18705, 20605, 8964, 10704, 1472, 12964, 1532, 541, 3889, 267, 1289, 7146, 268, 24978, 18305, 267, 543, 9997, 995, 2582, 5991, 1774, 3515, 269, 16792, 891, 942, 2389, 6479, 12596, 3091, 15417, 2666, 585, 14971, 9416, 560, 2643, 1235, 3168, 547, 1711, 8076, 14906, 1431, 29689, 609, 6612, 543, 27497, 780, 12218, 673, 13176, 27132, 19646, 5553, 6040, 25704, 7258, 1007, 13144, 11179, 11319, 6302, 269, 1290, 1842, 619, 899, 22513, 18372, 29813, 267, 12770, 20579, 2958, 320, 267, 543, 1656, 337, 15530, 21540, 990, 807, 9788, 1524, 22294, 4773, 1869, 4922, 5340, 2221, 269, 11531, 267, 2413, 4075, 340, 657, 328, 899, 3627, 13879, 267, 30486, 645, 3195, 267, 543, 27118, 966, 573, 990, 328, 24089, 3136, 9750, 519, 17374, 998, 862, 3827, 543, 12496, 602, 8956, 3140, 9551, 757, 1247, 8508, 5647, 780, 7661, 267, 12563, 5389, 5001, 1459, 3638, 2959, 540, 6667, 585, 1131, 15515, 9416, 5882, 13176, 1235, 269, 6787, 14236, 1977, 18642, 26106, 342, 11301, 899, 3627, 13056, 30750, 543, 24955, 918, 2714, 651, 610, 9284, 532, 13951, 538, 22469, 267, 4469, 29546, 1723, 267, 610, 5824, 1977, 6163, 267, 972, 6818, 1100, 17732, 540, 9159, 1570, 32261, 6602, 780, 6962, 692, 3528, 3695, 519, 2729, 543, 1568, 540, 9565, 5515, 899, 594, 341, 528, 631, 1515, 1218, 543, 1866, 5941, 2429, 713, 3184, 267, 2852, 1053, 1796, 547, 15052, 741, 7071, 585, 9416, 5882, 13176, 1151, 657, 2066, 1585, 11964, 269, 5015, 267, 11543, 4971, 936, 1898, 1983, 543, 2553, 16877, 6267, 547, 4497, 18390, 609, 9102, 2575, 4143, 547, 713, 2361, 269, 11086, 267, 4797, 1353, 543, 2259, 9153, 14785, 2833, 1312, 13948, 543, 24015, 267, 7700, 25006, 547, 519, 2479, 21608, 13795, 540, 13176, 26274, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 341, 528, 544, 1515, 1218, 476, 5002, 279, 866, 7176, 729, 513, 2101, 23784, 547, 519, 1646, 540, 519, 13176, 538, 519, 20410, 689, 519, 2038, 15690, 5736, 1141, 646, 7620, 5129, 7333, 14765, 538, 835, 540, 519, 6574, 7333, 14765, 13164, 540, 519, 1974, 547, 519, 21462, 22820, 540, 519, 476, 2568, 338, 543, 476, 3583, 338, 269, 19270, 15300, 585, 5929, 13176, 543, 15690, 14440, 676, 804, 7596, 324, 10240, 1782, 269, 1215, 547, 3533, 543, 3362, 27655, 519, 13176, 31361, 4580, 269, 634, 1360, 9238, 11341, 6140, 547, 18369, 4730, 786, 581, 4988, 1934, 269, 9412, 13176, 21517, 2985, 476, 273, 540, 476, 279, 4909, 2242, 269, 8426, 334, 21088, 2415, 550, 267, 1665, 1728, 19282, 639, 585, 21088, 1591, 334, 851, 536, 778, 267, 795, 2129, 2335, 694, 30807, 1014, 795, 269, 25392, 519, 2450, 543, 1942, 267, 19545, 568, 513, 3501, 1259, 602, 596, 666, 1224, 707, 5172, 2835, 1510, 2965, 8876, 873, 9308, 269, 19863, 324, 10240, 1782, 13447, 334, 585, 5929, 13176, 543, 15690, 14440, 18369, 5750, 6656, 2575, 23891, 4231, 476, 272, 267, 476, 3192, 279, 676, 804, 7596, 324, 10240, 1782, 2278, 1294, 782, 12043, 543, 21820, 12404, 824, 12043, 543, 21820, 269, 1261, 849, 5129, 538, 519, 795, 768, 320, 737, 879, 330, 517, 523, 2468, 334, 609, 795, 768, 320, 543, 544, 19376 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18386, 271, 1299, 476, 271, 1299, 1422, 25854, 1299, 476, 271, 8607, 454, 271, 1299, 513, 18386, 333, 1299, 513, 315, 3709, 333, 268, 272, 348, 1299, 1422, 25854, 1299, 513, 18386, 272, 1299, 513, 18386, 271, 1299, 1422, 25854, 1299, 476, 271, 11138, 454, 261, 1299, 315, 341, 25854, 261, 261, 261, 315, 9536, 1824, 261, 1299, 315, 341, 25854, 11138, 454, 271, 1299, 1422, 25854, 1299, 476, 271, 1299, 513, 18386, 333, 1299, 513, 315, 3709, 333, 268, 272, 348, 1299, 1422, 25854, 1299, 513, 18386, 272, 1299, 513, 18386, 271, 8607, 454, 321, 18386, 332, 1299, 536, 315, 3709, 332, 268, 272, 348, 1299, 1422, 25854, 1299, 536, 18386, 272, 1299, 536, 18386, 271, 1299, 476, 271, 1299, 1422, 25854, 1299, 476, 271, 8607, 454, 271, 1299, 536, 18386, 332, 1299, 536, 315, 3709, 332, 268, 272, 348, 1299, 1422, 25854, 1299, 536, 18386, 272, 1299, 536, 18386, 271, 1299, 1422, 25854, 1299, 476, 271, 11138, 454, 261, 1299, 315, 341, 25854, 261, 261, 261, 315, 9536, 1824, 261, 1299, 315, 341, 25854, 11138, 454, 271, 1299, 1422, 25854, 1299, 476, 271, 1299, 536, 18386, 332, 1299, 536, 315, 3709, 332, 268, 272, 348, 1299, 1422, 25854, 1299, 536, 18386, 272, 1299, 536, 18386, 271, 454, 17910, 32413, 28021, 1607, 18159, 333, 266, 332, 9385, 9392, 3799, 266, 332, 7751, 5119, 5161, 540, 519, 14170, 540, 1269, 325, 259, 543, 1269, 326, 8961, 11231, 18928, 1759, 2390, 7060, 540, 1269, 343, 10608, 3767, 267, 1577, 721, 20301, 4399, 10400, 346, 338, 13157, 314, 338, 18386, 271, 12101, 24126, 267, 521, 315, 3709, 263, 333, 266, 332, 9984, 272, 348, 316, 23373, 9008, 259, 607, 519, 6152, 4646, 676, 6677, 22760, 908, 519, 9587, 540, 1269, 306, 259, 912, 11377, 10400, 346, 338, 18098, 8218, 32413, 8679, 320, 18386, 333, 8607, 513, 315, 3709, 333, 268, 272, 27874, 1422, 341, 25854, 8607, 513, 18386, 272, 8607, 513, 18386, 271, 8607, 476, 271, 8607, 1422, 341, 25854, 8607, 476, 271, 8607, 536, 18386, 332, 8607, 536, 315, 3709, 332, 268, 272, 348, 8607, 1422, 341, 25854, 8607, 536, 18386, 272, 8607, 536, 18386, 271, 8607, 476, 271, 8607, 1422, 341, 25854, 8607, 476, 271, 454, 17910, 32413, 20467, 16465, 10190, 267, 519, 25739, 949, 581, 17223, 1210, 519, 24572, 540, 1269, 306, 259, 912, 11377, 3667, 346, 4910, 12917, 325, 267, 575, 21174, 30956, 7268, 10400, 346, 306, 348, 1040, 16465, 3528, 9750, 2059, 519, 1101, 4737, 267, 606, 4244, 4082, 14340, 912, 11377, 3667, 346, 4910, 12917, 325, 267, 575, 6661, 8987, 272, 22722, 333, 332, 4153, 3847, 24689, 8218, 15204, 2410, 764, 764, 347, 764, 322, 8679, 320, 315, 3709, 333, 268, 272, 31905, 320, 315, 3709, 333, 268, 273, 31905, 315, 26984, 261, 320, 18386, 271, 261, 315, 28783, 24877, 348, 271, 261, 315, 26984, 261, 315, 28783, 24877, 348, 271, 11138, 454, 315, 341, 25854, 261, 315, 341, 25854, 261, 315, 9536, 1824, 261, 315, 341, 25854, 261, 261, 315, 1342, 1824, 261, 11138, 454, 320, 315, 3709, 333, 2173, 31905, 320, 315, 3709, 333, 2173, 268, 272, 31905, 315, 26984, 261, 320, 315, 3709, 333, 2173, 24179, 332, 268, 272, 14587, 261, 315, 28783, 24877, 348, 271, 261, 315, 26984, 261, 315, 28783, 24877, 348, 271, 11138, 454, 315, 327, 1467, 536, 18386, 332, 261, 321, 315, 3709, 332, 268, 272, 31905, 315, 26984, 261, 321, 18386, 272, 261, 321, 18386, 271, 261, 315, 26984, 261, 315, 28783, 24877, 348, 271, 11138, 454, 315, 341, 25854, 261, 315, 341, 25854, 261, 315, 9536, 1824, 261, 315, 341, 25854, 261, 261, 315, 9536, 1824, 261, 11138, 454, 321, 18386, 272, 261, 321, 18386, 271, 261, 315, 26984, 261, 265, 261, 265, 261, 315, 26984, 261, 20330, 17910, 15204, 4153, 2431, 347, 269, 16465, 1103, 9759, 267, 7384, 519, 25739, 3322, 10442, 513, 1880, 24572, 6508, 689, 519, 31506, 1407, 614, 5119, 269, 1717, 267, 950, 1269, 333, 284, 332, 8961, 519, 4542, 29776, 3648, 267, 3850, 3608, 9819, 998, 17594, 269, 5047, 267, 18476, 3270, 10836, 950, 6313, 1016, 3901, 4631, 1369, 1269, 306, 8961, 3246, 2417, 5813, 883, 519, 2470, 540, 1267, 1218, 780, 4467, 1584, 566, 10613, 1384, 2026, 5018, 4505, 267, 950, 7231, 609, 21335, 540, 3160, 4110, 18121, 333, 284, 332, 259, 1070, 513, 2241, 17594, 5650, 21410, 519, 25739, 7561, 269, 6333, 519, 1739, 1383, 5473, 13392, 21335, 912, 2330, 325, 3287, 6661, 1314, 317, 273, 17070, 343, 25239, 12101, 15153, 575, 3287, 6661, 11459, 317, 273, 266, 1410, 266, 325, 269, 16465, 2171, 4020, 519, 2404, 31506, 1407, 614, 5119, 912, 2330, 306, 7807, 8218, 32413, 8679, 320, 261, 321, 261, 322, 11138, 454, 323, 261, 324, 261, 325, 11138, 454, 271, 261, 320, 261, 321, 454, 17910, 32413, 9574, 16465, 663, 12337, 922, 24572, 3842, 10026, 4238, 912, 17961, 9387, 265, 8679, 20728, 346, 4910, 12917, 325, 267, 575, 264, 261, 7807, 30956, 22829, 9385, 315, 454, 261, 284, 320, 24206, 315, 30956, 17961, 32413, 8679, 324, 261, 325, 11138, 454, 320, 261, 321, 454, 17910, 32413, 18511, 321, 24206, 315, 30956, 17961, 32413, 8679, 323, 261, 325, 11138, 454, 271, 261, 321, 454, 17910, 32413, 15396, 322, 24206, 315, 30956, 17961, 32413, 8679, 323, 261, 324, 11138, 454, 271, 261, 320, 454, 17910, 32413, 27874, 454, 261, 284, 2801, 6357, 10559, 2765, 705, 546, 9984, 2041, 7268, 2765, 546, 322, 524, 11924, 22396, 5560, 320, 9385, 315, 454, 261, 284, 320, 1030, 323, 266, 576, 325, 321, 1532, 3698, 14194, 322, 321, 11138, 454, 261, 284, 320, 1815, 325, 323, 1532, 26501, 4206, 11138, 454, 261, 284, 2378, 16216, 321, 1673, 322, 9984, 7251, 6357, 325, 268, 2801, 1916, 17910, 9387, 265, 8679, 2690, 2362, 24266, 21335, 267, 1463, 6268, 3587, 791, 24411, 1813, 547, 12985, 6988, 269, 18641, 267, 1896, 6620, 5512, 2500, 19106, 1510, 759, 15659, 547, 1490, 1393, 3196, 269, 2290, 2442, 1505, 12346, 593, 3728, 28070, 5690, 24909, 899, 4427, 14310, 656, 11553, 306, 630, 21691, 8662, 3816, 664, 1457, 25627, 1070, 27548, 513, 25276, 5943, 585, 8159, 519, 25739, 269, 3958, 267, 2625, 8494, 2065, 2553, 899, 519, 22606, 1935, 543, 23661, 25739, 25481, 2709, 1713, 5383, 950, 7829, 1804, 8397, 2042, 269, 1452, 4359, 3584, 4927, 581, 8268, 2663, 538, 7766, 11271, 780, 21104, 725, 543, 22627, 1384, 4910, 738, 1218, 1404, 513, 2629, 1909, 538, 6061, 1949, 540, 9971, 4834, 267, 3226, 1346, 5473, 2789, 4632, 269, 1635, 6236, 17594, 3069, 543, 6182, 7238, 321, 1676, 13279, 267, 3173, 666, 17589, 3532, 2645, 585, 20547, 1950, 3830, 5036, 269, 10241, 2039, 689, 8773, 10252, 14670, 923, 543, 12747, 12166, 11532, 18445, 547, 6939, 534, 4519, 543, 8193, 3069, 780, 2304, 3078, 1858, 6013, 693, 519, 10167, 540, 15821, 9511, 543, 1297, 3069, 1634, 607, 4144, 2684, 14932, 9511, 269, 898, 9388, 609, 8870, 3435, 540, 9971, 4834, 282, 23954, 267, 1267, 1218, 6961, 16832, 1247, 4974, 7787, 2798, 593, 14258, 543, 7252, 269, 589, 5929, 14745, 4145, 674, 12938, 781, 7831, 14497, 267, 12193, 676, 12448, 654, 3796, 9001, 10427, 620, 613, 15842, 268, 613, 6248, 12227, 3710, 1472, 533, 14194, 545, 17666, 267, 594, 13195, 11867, 3069, 267, 8895, 12251, 11269, 267, 543, 22606, 3029, 269, 2755, 3564, 938, 9165, 267, 891, 8320, 6542, 875, 4909, 2093, 899, 1267, 1218, 15449, 622, 3309, 8371, 540, 6128, 780, 6962, 1384, 9961, 713, 3184, 267, 649, 1642, 1386, 7184, 883, 519, 1523, 540, 1267, 1218, 267, 19286, 908, 741, 8847, 267, 3601, 267, 543, 19106, 2409, 269, 5015, 267, 649, 12006, 10578, 4296, 1063, 1267, 1218, 543, 6626, 6310, 8658, 269, 1306, 23576, 676, 5571, 1382, 543, 4052, 946, 2665, 267, 17117, 540, 1267, 1218, 3788, 4143, 2221, 811, 982, 2479, 269, 8892, 13220, 1522, 4125, 5806, 514, 1218, 267, 2142, 345, 719, 2103, 267, 543, 1617, 21725, 1267, 1218, 1107, 2067, 24909, 540, 796, 21725, 9971, 5468, 5941, 3976, 2484, 269, 11086, 267, 30230, 4771, 519, 1379, 540, 1267, 1218, 28382, 14971, 22697, 543, 3744, 7567, 609, 2565, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12749, 476, 1015, 6481, 20043, 1310, 476, 1321, 628, 1362, 538, 3127, 454, 7072, 1280, 1053, 945, 723, 8737, 741, 476, 1321, 628, 3044, 1362, 267, 513, 4876, 538, 4915, 6770, 873, 513, 1158, 540, 8458, 543, 7399, 269, 634, 2564, 2872, 3091, 1082, 4241, 543, 16180, 2816, 3681, 3544, 540, 4742, 513, 4387, 269, 2991, 18138, 519, 476, 1321, 628, 1362, 267, 649, 786, 2263, 930, 540, 519, 1082, 2816, 3255, 538, 519, 2564, 2872, 538, 713, 5816, 269, 476, 272, 269, 25328, 540, 6925, 267, 25328, 540, 17889, 630, 11586, 7034, 2567, 634, 1034, 6671, 543, 1134, 8153, 8905, 538, 4915, 568, 15980, 606, 15406, 7034, 4110, 267, 799, 5713, 607, 519, 4358, 1448, 585, 513, 4876, 538, 4915, 269, 16270, 12032, 540, 513, 2947, 7146, 8584, 28451, 4458, 6437, 602, 2882, 513, 835, 4458, 22631, 1222, 267, 10457, 616, 11727, 547, 960, 607, 6132, 10642, 13500, 269, 476, 273, 269, 25328, 540, 15482, 17889, 630, 289, 9169, 2567, 6271, 1134, 2000, 27419, 2564, 2027, 5314, 568, 25185, 269, 4841, 666, 13404, 593, 5711, 1072, 543, 1831, 24782, 676, 13197, 513, 645, 9169, 4110, 269, 769, 1931, 547, 2226, 2489, 1072, 267, 24782, 616, 1898, 538, 536, 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, 10789, 1315, 4937, 1315, 28088, 1218, 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, 8080, 547, 938, 3460, 998, 942, 256, 4653, 649, 786, 2263, 875, 513, 2241, 7961, 538, 8303, 267, 5333, 1572, 700, 262, 295, 739, 11839, 773, 632, 3288, 12875, 546, 262, 6635, 7217, 7960, 883, 513, 1158, 3146, 11471, 13962, 602, 814, 1044, 7674, 4583, 1004, 2094, 519, 3735, 476, 1626, 628, 2540, 269, 4014, 713, 1650, 1281, 711, 1491, 1747, 538, 6628, 267, 621, 666, 948, 721, 1174, 930, 1271, 2035, 827, 22713, 1282, 519, 476, 1240, 628, 2540, 269, 1924, 10544, 707, 3206, 22970, 543, 1577, 781, 4685, 1318, 538, 2439, 5575, 267, 1577, 781, 4952, 6000, 1394, 538, 519, 1032, 476, 15647, 273, 950, 513, 9735, 3943, 27697, 3957, 681, 712, 974, 879, 3323, 1010, 1378, 17715, 7961, 2059, 519, 8492, 540, 519, 5211, 1530, 710, 538, 8303, 269, 1411, 1522, 4898, 1018, 2306, 713, 2680, 4143, 547, 22713, 286, 4270, 267, 693, 602, 942, 267, 2342, 729, 2469, 998, 1713, 2242, 1813, 547, 7760, 538, 2029, 267, 6683, 267, 5663, 267, 543, 6283, 1107, 782, 1883, 3344, 540, 22713, 269, 4634, 1498, 681, 712, 974, 879, 1705, 711, 6427, 1007, 12227, 610, 22499, 2504, 2409, 267, 646, 8329, 547, 22713, 18549, 676, 3246, 606, 909, 29173, 18226, 1995, 585, 14547, 29123, 945, 1223, 6488, 971, 12743, 3753, 269, 901, 5385, 540, 5370, 543, 2533, 1063, 1114, 1514, 5049, 5280, 3895, 2804, 2208, 2429, 2342, 780, 3086, 3728, 4464, 547, 476, 8182, 271, 950, 681, 712, 974, 879, 3459, 5356, 14364, 1139, 619, 269, 1635, 3257, 865, 267, 646, 2813, 513, 2189, 2686, 1995, 602, 5916, 9913, 609, 5386, 18226, 269, 1306, 811, 15327, 941, 3964, 2066, 2342, 1282, 519, 476, 1240, 628, 2540, 267, 4683, 5095, 8057, 6385, 269, 4658, 6410, 547, 4872, 5275, 7694, 3255, 3177, 676, 891, 24567, 6080, 269, 2060, 2799, 5763, 3357, 16837, 2238, 899, 11504, 519, 16222, 4553, 676, 12129, 693, 24284, 899, 700, 262, 295, 739, 11839, 773, 632, 3288, 12875, 546, 262, 6635, 7217, 269, 4935, 267, 519, 4276, 1063, 22713, 543, 9235, 2968, 1256, 6793, 780, 1103, 476, 6245, 271, 267, 1776, 2101, 24182, 7018, 950, 2605, 2946, 323, 2946, 878, 5548, 1515, 9715, 519, 7961, 543, 5189, 741, 15040, 8670, 267, 2052, 17662, 12875, 667, 262, 6635, 7217, 630, 335, 5962, 21868, 1040, 1261, 849, 3323, 1297, 532, 1142, 21868, 6039, 267, 2870, 513, 4241, 2245, 602, 5170 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5061, 267, 16351, 5061, 610, 4568, 269, 901, 666, 3006, 2014, 8628, 3441, 547, 13285, 602, 1860, 6217, 269, 769, 930, 2665, 950, 513, 9176, 2021, 3096, 5061, 1282, 6379, 267, 713, 666, 2014, 13046, 547, 1020, 538, 1200, 1126, 269, 5871, 5061, 602, 1522, 3565, 547, 13046, 1331, 17333, 582, 2135, 923, 267, 2618, 32430, 5061, 267, 993, 514, 16570, 6523, 1938, 267, 1978, 11216, 543, 8709, 1260, 344, 11142, 563, 1103, 4516, 267, 519, 1377, 540, 7616, 610, 6278, 2509, 21365, 519, 1966, 540, 13046, 568, 4086, 2406, 8766, 269, 1809, 609, 2487, 24657, 827, 519, 2360, 540, 13046, 593, 1346, 538, 7128, 4229, 273, 543, 17140, 1851, 18884, 267, 713, 949, 1689, 269, 5221, 540, 519, 3356, 1500, 538, 13046, 2126, 543, 2359, 1382, 1107, 1519, 960, 2944, 1318, 1934, 538, 4516, 1107, 519, 942, 568, 1318, 547, 2709, 13046, 24412, 2500, 3681, 543, 519, 1489, 789, 991, 269, 2755, 1082, 609, 13046, 616, 711, 2943, 3222, 602, 972, 616, 2081, 547, 2569, 610, 4383, 519, 3586, 30366, 267, 1010, 28410, 610, 18388, 532, 538, 741, 10772, 267, 607, 811, 1072, 1416, 4648, 1118, 2500, 3681, 2139, 267, 2262, 786, 3262, 269, 769, 942, 267, 13046, 543, 922, 1764, 593, 2298, 540, 1272, 666, 581, 4389, 563, 29909, 3025, 814, 1185, 13046, 585, 513, 2110, 942, 1310, 1373, 6534, 547, 5393, 10978, 6846, 269, 1280, 1383, 267, 11504, 513, 10978, 13447, 666, 9594, 2110, 24331, 13046, 269, 2368, 6527, 630, 18034, 29469, 543, 824, 1875, 3122, 18042, 4550, 13611, 5061, 3144, 538, 1164, 13066, 264, 666, 2014, 13046, 602, 4422, 2476, 950, 519, 3075, 568, 19944, 4240, 269, 1879, 621, 16569, 811, 982, 3670, 3275, 267, 621, 781, 1634, 607, 5312, 13046, 269, 1306, 1082, 607, 476, 2004, 547, 476, 2568, 2929, 1004, 538, 519, 2136, 2276, 7985, 689, 713, 2783, 282, 621, 781, 2523, 1455, 538, 1004, 936, 2085, 476, 4649, 543, 9244, 2404, 609, 6217, 2530, 269, 3509, 1004, 5855, 602, 13046, 568, 513, 1129, 602, 789, 616, 2469, 18555, 610, 723, 1776, 3978, 2564, 1966, 267, 855, 621, 10355, 568, 563, 8138, 11187, 13046, 568, 519, 1034, 7928, 1826, 540, 13046, 269, 898, 666, 723, 1082, 2009, 3123, 267, 855, 1034, 4122, 621, 2164, 689, 6217, 2530, 269, 1879, 519, 13046, 568, 3361, 676, 4713, 540, 519, 6418, 1274, 610, 17391, 8229, 621, 568, 1572, 522, 6776, 630, 5228, 519, 5259, 2262, 585, 1274, 1040, 1452, 17333, 1670, 610, 14715, 2175, 1331, 1346, 15427, 676, 5563, 610, 5061, 269, 589, 7928, 2014, 568, 6846, 4598, 602, 14796, 4552, 2281, 538, 519, 6418, 1274, 563, 4692, 606, 21236, 813, 5963, 14867, 13046, 286, 5617, 10079, 621, 610, 711, 267, 519, 2626, 568, 9811, 269, 634, 1234, 306, 895, 9149, 301, 311, 273, 813, 18252, 513, 4999, 540, 3280, 3797, 543, 11005, 5751, 547, 2569, 519, 10335, 540, 13046, 269, 634, 10375, 813, 666, 581, 1031, 538, 4999, 609, 6217, 7405, 267, 799, 616, 1507, 855, 2178, 269, 901, 14262, 1982, 21810, 707, 21236, 883, 513, 6552, 1852, 585, 707, 6217, 5351, 563, 3086, 1118, 707, 19462, 607, 9395, 607, 596, 666, 267, 2731, 9379, 4875, 873, 909, 269, 15579, 873, 899, 713, 585, 513, 4090, 1107, 543, 6001, 269, 3767, 798, 519, 1482, 609, 707, 17094, 956, 267, 1287, 707, 28419, 6091, 267, 707, 25427, 338, 2507, 960, 782, 519, 1259, 909, 707, 1560, 547, 707, 2212, 267, 1818, 2386, 596, 13029, 267, 3180, 585, 513, 4090, 267, 543, 1287, 5305, 519, 8082, 269, 4495, 596, 4076, 2944, 713, 609, 707, 2898, 1560, 267, 1445, 1586, 593, 707, 7244, 1107, 5469, 519, 11733, 267, 621, 1058, 581, 1256, 543, 9350, 563, 307, 11624, 24412, 723, 6836, 1082, 4244, 11257, 855, 1419, 547, 1100, 1992, 269, 2368, 723, 4862, 540, 1967, 2984, 5473, 519, 946, 540, 1978, 8324, 267, 6886, 267, 16909, 21339, 267, 610, 1256, 513, 1689, 538, 2732, 267, 855, 1419, 1705, 711, 1995, 2123, 1967, 538, 8156, 13046, 1210, 971, 3681, 269, 10251, 267, 1100, 2090, 547, 4266, 723, 1044, 2111, 547, 12314, 971, 5574, 547, 1022, 1483, 2640, 269, 2755, 1454, 540, 519, 4540, 1382, 723, 1044, 6131, 547, 4543, 721, 1174, 13046, 543, 922, 1696, 8344, 24598, 25751, 267, 972, 616, 4867, 1360, 1906, 5574, 602, 616, 24802, 24019, 269, 2986, 519, 1906, 602, 5342, 4791, 2090, 547, 6218, 519, 7145, 267, 1034, 1705, 711, 946, 11826, 4791, 2409, 971, 607, 9013, 585, 21897, 2360, 610, 5595, 15918, 4193, 547, 2327, 519, 8699, 540, 519, 1239, 543, 547, 9004, 1022, 2959, 540, 9186, 269, 570, 11624, 24412, 945, 1569, 971, 5574, 1419, 798, 711, 1995, 8323, 689, 741, 13046, 269, 1306, 513, 1267, 267, 13046, 24412, 1419, 1995, 10539, 267, 17140, 267, 513, 2530, 540, 4126, 267, 543, 25949, 1310, 2348, 16539, 942, 543, 2724, 593, 2139, 2126, 3681, 563, 300, 27965, 20905, 269, 5381, 547, 519, 3043, 6846, 6191, 7396, 1657, 267, 972, 616, 1631, 9633, 532, 3457, 602, 666, 581, 12816, 538, 519, 1274, 267, 1175, 899, 513, 6217, 5351, 267, 602, 798, 3592, 519, 1482, 3364, 269, 1358, 3132, 1970, 7400, 3043, 6846, 602, 666, 16401, 525, 707, 13046, 2589, 676, 2866, 707, 2634, 547, 1445, 593, 873, 3079, 540, 519, 30366, 538, 707, 10772, 269, 1452, 616, 3501, 952, 596, 666, 1406, 2141, 723, 513, 3043, 6846, 3684, 4881, 2282, 596, 563, 29020, 13046, 568, 1360, 4686, 269, 898, 666, 581, 4862, 676, 513, 4387, 2901, 1210, 513, 588, 996, 24005, 610, 676, 6947, 1360, 5702, 547, 707, 1274, 269, 898, 4386, 10355, 543, 949, 1813, 547, 32246, 4887, 27373, 610, 15466, 22775, 885, 269, 634, 3280, 568, 1419, 4330, 607, 24421, 908, 543, 949, 581, 4862, 538, 942, 609, 707, 26470, 269, 20638, 13046, 2356, 814, 513, 15002, 762, 2014, 543, 7106, 8986, 950, 5701, 676, 6391, 610, 824, 2564, 6304, 563, 2252, 519, 2707, 540, 519, 1966, 3788, 15458, 267, 596, 949, 581, 2366, 547, 606, 17333, 6048, 610, 606, 17333, 565, 28640, 6048, 630, 18485, 1274, 12665, 264, 610, 606, 24384, 6048, 630, 320, 6217, 11285, 264, 585, 6217, 543, 8229, 4255, 269, 1306, 851, 540, 707, 6514, 267, 596, 949, 581, 2016, 513, 6217, 1449, 1572, 606, 24384, 6945, 269, 1323, 9196, 4480, 267, 971, 607, 606, 18909, 610, 513, 11632, 11571, 267, 949, 849, 581, 5227, 547, 7866, 1022, 7293, 1966, 269, 0, 288, 1895, 693, 18142, 17936, 781, 3751, 19869, 1638, 320, 2160, 540, 3163, 543, 5303, 723, 2919, 513, 1007, 3327, 5991, 534, 582, 4209, 2861, 1570, 602, 25309, 476, 7176, 547, 476, 4200, 2600, 540, 1769, 1063, 476, 6110, 543, 476, 272, 267, 6110, 333, 332, 267, 689, 782, 7285, 267, 1818, 1256, 3109, 518, 982, 19676, 2160, 781, 476, 1220, 279, 9039, 2173, 648, 15918, 871, 267, 11785, 543, 16099, 781, 476, 1220, 279, 9039, 2173, 648, 15918, 871, 543, 2274, 16582, 2160, 781, 476, 1220, 280, 9039, 2173, 648, 15918, 871, 269, 2334, 781, 7168, 535, 31902, 3109, 563, 25811, 1359, 29577, 1769, 4726, 1499, 568, 2629, 547, 1082, 3156, 267, 1519, 1648, 3620, 541, 4034, 532, 3457, 543, 9804, 32144, 338, 269, 634, 12644, 540, 606, 4998, 4726, 828, 616, 602, 540, 513, 3109, 1560, 267, 513, 4158, 1570, 602, 25309, 5982, 693, 782, 7285, 543, 8701, 3074, 269, 6736, 8441, 538, 30562, 564, 516, 6253, 1157, 8874, 267, 519, 4726, 1499, 2139, 547, 4266, 616, 1869, 2484, 689, 606, 4998, 3109, 1560, 269, 3371, 267, 649, 4766, 513, 2935, 1229, 6289, 739, 19099, 1570, 602, 2982, 606, 3592, 4998, 3109, 23073, 10338, 540, 476, 7176, 1700, 4200, 260, 1063, 476, 6110, 543, 476, 272, 267, 6110, 16354, 602, 568, 1202, 17567, 547, 519, 5086, 543, 26445, 540, 519, 10071, 1769, 269, 634, 1570, 13408, 20543, 7768, 540, 513, 6289, 528, 617, 609, 513, 6289, 14459, 540, 476, 1789, 16354, 8006, 7923, 269, 1879, 29809, 883, 15559, 267, 513, 1507, 5834, 540, 20543, 25309, 593, 3328, 476, 2918, 260, 811, 982, 3327, 31407, 25683, 267, 519, 4158, 652, 1570, 2139, 547, 4266, 269, 1635, 23028, 513, 20004, 9804, 24582, 609, 6289, 846, 1718, 20512, 540, 3980, 376, 1911, 544, 310, 1379, 267, 649, 10244, 519, 7293, 14334, 540, 519, 1570, 543, 1711, 513, 1007, 1826, 540, 1769, 2707, 267, 799, 12958, 1395, 29614, 1738, 12998, 630, 4501, 376, 276, 16354, 2647, 264, 1510, 519, 991, 585, 1022, 16982, 269, 901, 568, 6913, 998, 519, 6384, 540, 1769, 28198, 538, 799, 782, 12842, 13590, 1648, 31380, 12958, 2582, 12258, 712, 1648, 20512, 563, 12867, 1711, 3109, 652, 1570, 2479, 1500, 454, 22498, 5950, 713, 6909, 3239, 540, 519, 6607, 602, 20186, 476, 2420, 3275, 540, 2473, 11920, 1239, 9676, 689, 519, 4139, 6611, 13749, 1210, 519, 3026, 583, 1258, 5182, 25181, 23531, 25817, 630, 301, 2975, 2207, 1040, 3245, 8331, 281, 968, 10214, 609, 8766, 4393, 267, 713, 3239, 8761, 519, 7261, 3913, 639, 31230, 267, 513, 31975, 320, 20276, 656, 827, 476, 3445, 1769, 26188, 2066, 543, 2219, 547, 581, 476, 276, 267, 1822, 547, 476, 279, 267, 1822, 20965, 1103, 519, 7706, 540, 15177, 575, 2465, 802, 543, 2230, 562, 518, 1091, 267, 32349, 6307, 299, 714, 645, 2658, 543, 24138, 932, 2643, 1231, 7288, 723, 5326, 6009, 269, 634, 6292, 723, 519, 6697, 540, 968, 3724, 560, 720, 10596, 892, 547, 6611, 311, 267, 8331, 543, 772, 6369, 15177, 31782, 1141, 789, 7001, 543, 2671, 18198, 7044, 602, 6655, 519, 1379, 267, 1981, 267, 543, 26497, 540, 2230, 3408, 269, 634, 960, 540, 741, 18638, 267, 20965, 763, 476, 1960, 271, 338, 29113, 5326, 540, 6263, 11608, 10977, 998, 938, 1973, 6908, 547, 1521, 2068, 568, 3001, 630, 591, 31014, 787, 264, 7444, 855, 15983, 4724, 4641, 269, 769, 513, 1007, 24182, 267, 3173, 1031, 606, 5007, 6419, 2361, 547, 27464, 8762, 1824, 998, 513, 2661, 10856, 779, 1560, 8876, 9354, 6565, 2281, 269, 3245, 20959, 25400, 281, 10371, 22013, 1853, 532, 6565, 2281, 3335, 3340, 606, 13297, 20965, 15371, 596, 2461, 606, 7376, 267, 14704, 610, 1175, 12180, 513, 8666, 17581, 267, 8666, 11049, 3301, 568, 513, 1590, 269, 1656, 3301, 9858, 917, 621, 281, 15107, 13257, 899, 26598, 543, 8752, 3336, 723, 513, 9522, 540, 5363, 2934, 267, 855, 596, 3580, 2628, 585, 873, 538, 838, 3547, 269, 24664, 1176, 267, 972, 779, 930, 6735, 538, 519, 8666, 11049, 26750, 269, 9406, 1631, 267, 4787, 23796, 779, 700, 6058, 541, 3301, 568, 20965, 8005, 2115, 513, 9702, 9042, 286, 6884, 972, 779, 1100, 1732, 942, 982, 519, 5394, 540, 4832, 547, 1265, 9388, 269, 1284, 1058, 917, 1107, 649, 4076, 1336, 4557, 2620, 28774, 593, 930, 1590, 3620, 1511, 3688, 269, 6787, 596, 2461, 10478, 585, 14055, 1196, 17156, 267, 3635, 10591, 267, 5056, 619, 610, 824, 10509, 267, 1491, 513, 1413, 269, 1809, 1810, 1406, 1413, 1279, 1107, 891, 5777, 5749, 1406, 2693, 20965, 23175, 532, 13383, 286, 4634, 952, 621, 779, 1175, 513, 2110, 7552, 267, 972, 779, 513, 2603, 547, 5965, 585, 269, 13488, 666, 581, 11212, 14785, 267, 855, 621, 666, 16602, 547, 6330, 1114, 4529, 543, 25778, 3101, 12417, 1107, 543, 1256, 8945, 1512, 547, 798, 621, 10464, 569, 269, 6969, 596, 979, 10918, 585, 9290, 322, 1162, 267, 1934, 779, 938, 4584, 585, 513, 1434, 1101, 5092, 281, 634, 31597, 31218, 0, 2005, 779, 1271, 547, 6338, 513, 10584, 610, 1459, 518, 1134, 454, 10214, 1354, 596, 1376, 6340, 547, 606, 5007, 5304, 267, 596, 1058, 917, 602, 1434, 31047, 616, 2629, 547, 2500, 18531, 543, 14245, 1317, 606, 5304, 2708, 525, 519, 1608, 9200, 540, 513, 10584, 1318, 689, 519, 1376, 563, 288, 4341, 540, 14853, 5267, 602, 606, 5304, 779, 4879, 540, 513, 10584, 568, 7361, 4646, 538, 519, 1101, 476, 1789, 7643, 540, 513, 2911, 269, 1411, 666, 1205, 1346, 476, 1789, 7643, 1055, 547, 513, 1434, 1376, 676, 513, 1434, 4367, 563, 8620, 519, 1318, 5790, 585, 513, 10584, 547, 581, 1134, 4607, 676, 519, 5304, 689, 519, 1376, 998, 513, 1434, 4367, 269, 898, 568, 7415, 875, 1082, 14747, 15155, 1076, 950, 789, 6338, 513, 10584, 1107, 789, 2285, 741, 1272, 1686, 269, 769, 1249, 267, 1913, 540, 4367, 616, 535, 14217, 811, 982, 1022, 824, 3344, 540, 513, 4633, 1317, 519, 3984, 3085, 1406, 917, 875, 547, 798, 621, 1134, 563, 16655, 3065, 1764, 2501, 689, 513, 13801, 4367, 267, 950, 519, 5304, 568, 5143, 1946, 519, 10584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1107, 3973, 596, 2308, 519, 13360, 540, 13495, 600, 639, 454, 276, 269, 1656, 952, 596, 1131, 899, 547, 4688, 6266, 540, 606, 1367, 689, 19129, 29729, 5489, 1549, 1107, 1287, 946, 519, 13360, 540, 13206, 29342, 4856, 16476, 563, 3383, 891, 616, 476, 276, 654, 305, 3951, 306, 910, 719, 540, 799, 1152, 2048, 5226, 334, 654, 1551, 27053, 685, 616, 1419, 19429, 676, 4896, 563, 296, 4126, 596, 17329, 713, 13445, 7490, 798, 24049, 547, 1250, 5816, 543, 2671, 707, 5784, 267, 8292, 543, 2303, 811, 3584, 799, 596, 1131, 899, 547, 1224, 269, 0, 4910, 2869, 2209, 666, 3622, 581, 1612, 576, 1194, 883, 1079, 2596, 5049, 281, 811, 10097, 267, 2582, 14025, 15988, 1663, 748, 6227, 543, 23431, 6711, 2209, 602, 946, 29858, 15568, 7047, 5090, 2471, 547, 8756, 519, 2011, 269, 1234, 20608, 6711, 2209, 616, 3622, 1572, 2011, 1606, 14823, 6711, 2209, 267, 27571, 607, 6673, 305, 593, 8317, 267, 543, 666, 581, 813, 10407, 539, 2417, 883, 1079, 3339, 12204, 281, 2407, 19904, 6711, 2209, 543, 3368, 2275, 1478, 6711, 2209, 269, 31158, 1194, 3101, 799, 12204, 540, 6711, 1807, 547, 946, 538, 519, 17804, 2175, 543, 10898, 602, 949, 2291, 616, 1898, 5890, 754, 762, 3382, 1810, 711, 8756, 2011, 849, 23431, 6711, 2209, 798, 3976, 569, 267, 28761, 798, 707, 4879, 547, 11760, 950, 621, 568, 16048, 547, 946, 606, 3063, 27972, 752, 610, 513, 23431, 6711, 1807, 563, 12024, 1875, 24207, 695, 9613, 543, 23431, 6711, 2209, 267, 3368, 2275, 1478, 6711, 2209, 543, 2407, 19904, 6711, 2209, 1142, 723, 741, 1114, 25896, 1141, 1210, 835, 568, 10150, 610, 1256, 25009, 936, 519, 824, 269, 1403, 782, 3116, 14543, 267, 3368, 2275, 1478, 6711, 2209, 616, 1031, 538, 2175, 1141, 519, 4064, 1810, 711, 1058, 581, 6870, 689, 519, 9688, 610, 2011, 547, 799, 789, 616, 3068, 9633, 3318, 269, 15316, 9362, 602, 949, 2291, 538, 513, 19408, 1327, 1446, 666, 13347, 610, 1118, 9058, 3765, 27815, 519, 4064, 269, 1452, 2175, 267, 29267, 626, 752, 2406, 267, 1131, 6582, 602, 606, 1367, 946, 513, 2407, 19904, 6711, 1807, 269, 589, 28125, 3236, 540, 606, 1367, 1210, 513, 2407, 19904, 6711, 1807, 568, 513, 3595, 2006, 269, 22682, 267, 891, 2043, 28761, 723, 513, 4558, 540, 2011, 267, 19037, 789, 946, 513, 2407, 19904, 6711, 1807, 547, 13104, 741, 4064, 689, 519, 1713, 8673, 2322, 1055, 676, 519, 3595, 269, 589, 2781, 553, 6804, 3510, 13296, 3368, 2275, 1478, 6711, 2209, 616, 1031, 568, 950, 7206, 269, 15316, 1699, 18544, 945, 5862, 1919, 607, 513, 851, 540, 519, 11018, 4179, 2517, 4178, 269, 1067, 31008, 15132, 548, 2593, 270, 4565, 9233, 270, 24108, 3455, 274, 20642, 3917, 1251, 268, 5500, 270, 1708, 271, 270, 1556, 13478, 600, 268, 2750, 718, 1606, 6874, 2354, 268, 8170, 6953, 601, 4771, 5025, 583, 2065, 11860, 1749, 8862, 792, 5336, 2532, 270, 4572, 16328, 280, 786, 5957, 3368, 6879, 9613, 6711, 2209, 6236, 519, 1259, 602, 519, 5862, 4440, 1281, 711, 798, 896, 8518, 539, 1145, 547, 519, 4064, 543, 267, 3976, 569, 267, 949, 711, 581, 2596, 563, 3080, 540, 519, 2879, 4100, 538, 1210, 513, 2407, 19904, 6711, 1807, 3382, 568, 602, 519, 1448, 540, 19427, 949, 1831, 29565, 3481, 1818, 621, 25401, 2352, 547, 1294, 269, 5047, 267, 950, 1031, 538, 2175, 899, 12716, 5137, 519, 3382, 666, 1205, 1500, 2386, 827, 609, 513, 4670, 540, 519, 3364, 1373, 1031, 538, 519, 6341, 1401, 718, 7231, 269, 901, 10123, 666, 6531, 519, 5075, 269, 15316, 6227, 723, 519, 3375, 540, 11449, 1448, 540, 19427, 6227, 602, 804, 532, 547, 519, 2407, 19904, 695, 9613, 543, 666, 581, 22019, 539, 1055, 1310, 789, 616, 1031, 269, 1452, 23732, 948, 13104, 519, 1448, 540, 19427, 689, 31153, 610, 1585, 1919, 602, 949, 581, 2182, 547, 2312, 1055, 519, 1448, 540, 19427, 269, 17859, 540, 2436, 606, 1367, 568, 1210, 513, 2407, 19904, 6711, 1807, 610, 513, 3368, 12641, 334, 752, 6711, 1807, 267, 519, 6075, 1058, 28761, 1404, 856, 513, 3514, 1449, 1354, 946, 538, 19408, 610, 13818, 2175, 547, 2327, 519, 3382, 568, 7900, 2614, 269, 9406, 950, 1031, 17501, 569, 267, 23431, 6711, 2209, 666, 581, 513, 16990, 267, 4909, 3787, 540, 513, 1268, 779, 1378, 2027, 9856, 539, 8631, 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 ]
[ 267, 4008, 267, 1362, 267, 2702, 267, 543, 4638, 10066, 780, 11767, 11350, 29945, 267, 4535, 717, 3271, 807, 14639, 20242, 9469, 538, 6917, 17996, 269, 2701, 7550, 1200, 4050, 2012, 1310, 1200, 14774, 1390, 3766, 8681, 15948, 267, 13852, 2349, 1515, 670, 23697, 267, 29544, 2463, 585, 18577, 7326, 543, 6043, 269, 6736, 18803, 20297, 267, 29945, 22002, 24243, 24491, 8393, 267, 15980, 5232, 689, 18628, 2160, 267, 519, 2160, 540, 16855, 5336, 611, 2581, 267, 543, 519, 2160, 540, 4993, 267, 13244, 30434, 269, 10801, 1200, 4876, 267, 1352, 9846, 13934, 30566, 545, 8155, 267, 32222, 547, 14207, 1200, 9097, 6214, 5103, 12250, 12503, 2509, 21939, 780, 327, 23697, 262, 1603, 21269, 2789, 11964, 267, 1519, 4081, 1521, 2478, 267, 29946, 267, 3594, 267, 6965, 267, 543, 1453, 781, 2835, 269, 17859, 540, 3898, 267, 789, 782, 2671, 1455, 16060, 281, 27200, 8789, 6386, 267, 7586, 4328, 3623, 10642, 9739, 267, 7067, 3140, 911, 30864, 267, 543, 5807, 7104, 19802, 269, 7324, 1200, 1034, 9565, 5931, 616, 834, 288, 514, 1405, 594, 513, 19716, 8119, 543, 834, 293, 655, 21442, 7869, 281, 3245, 12540, 514, 547, 4741, 1701, 634, 5449, 31886, 13416, 22158, 585, 10714, 532, 7292, 543, 2804, 7516, 540, 15746, 267, 19163, 602, 17604, 2066, 3017, 3340, 14344, 2864, 982, 24937, 891, 13103, 269, 11531, 267, 519, 8545, 3091, 513, 29685, 585, 13710, 9299, 343, 529, 267, 28409, 3988, 547, 1847, 3564, 7811, 9840, 2509, 6405, 3527, 5009, 1514, 5126, 780, 1103, 7311, 29945, 262, 5943, 547, 3979, 2148, 2137, 267, 2565, 4485, 1590, 5706, 1898, 1944, 21274, 602, 4630, 4094, 1125, 3309, 4529, 896, 1395, 18070, 6688, 269, 5502, 267, 789, 1058, 4497, 609, 1808, 8739, 7290, 5566, 8658, 5935, 1367, 9163, 543, 3860, 7215, 269, 1280, 3236, 267, 932, 574, 600, 7701, 715, 2998, 17844, 1520, 747, 773, 781, 3209, 834, 295, 2788, 540, 513, 14117, 6129, 2437, 1305, 1996, 519, 20457, 540, 13280, 781, 645, 807, 325, 3757, 2782, 267, 8761, 6946, 16395, 540, 4008, 5107, 9624, 2797, 24187, 543, 6803, 1193, 1057, 269, 1635, 3695, 21051, 663, 534, 5856, 26391, 25120, 3518, 328, 781, 2110, 1650, 4015, 834, 10048, 17998, 19732, 2989, 2437, 649, 7237, 30427, 4955, 5928, 635, 2364, 908, 14461, 10822, 2456, 540, 1753, 270, 1410, 850, 267, 2245, 270, 19640, 640, 267, 27828, 11721, 655, 514, 6541, 269, 1452, 3638, 569, 30305, 6386, 20838, 519, 13766, 540, 10128, 10167, 531, 9382, 1369, 938, 1353, 540, 3979, 2148, 2137, 780, 11101, 267, 4207, 14172, 2640, 689, 2502, 609, 6932, 2127, 540, 1382, 5483, 676, 29945, 262, 522, 324, 12320, 516, 269, 2290, 1383, 2882, 20210, 2090, 267, 799, 23827, 919, 10636, 517, 768, 894, 10054, 11251, 538, 6848, 5238, 543, 1167, 27641, 2853, 269, 18623, 899, 918, 1122, 1755, 7557, 7559, 4983, 8230, 12505, 11806, 266, 2833, 267, 20392, 1533, 1606, 534, 794, 539, 20655, 7258, 7524, 2146, 12180, 3646, 269, 6271, 24567, 2361, 3322, 9659, 2090, 267, 29506, 1944, 2111, 626, 19237, 10419, 18050, 1369, 5339, 27964, 269, 26225, 5640, 899, 5153, 7315, 773, 700, 269, 918, 619, 577, 29231, 8495, 11269, 540, 2168, 15717, 538, 3162, 3979, 5708, 267, 13031, 1950, 28402, 602, 1219, 344, 5187, 2065, 11008, 3074, 780, 2026, 23576, 2429, 713, 4901, 267, 11350, 29945, 262, 9371, 11498, 2484, 3564, 1200, 1378, 12591, 269, 3414, 1200, 12483, 1652, 7029, 547, 4101, 10562, 1727, 11306, 267, 1352, 21490, 519, 1259, 585, 2104, 5481, 540, 5640, 547, 3136, 11319, 6302, 267, 6998, 2352, 2055, 267, 543, 5275, 26602, 760, 2218, 8925, 269, 11569, 267, 1200, 11972, 10083, 6013, 10502, 538, 1200, 1202, 14571, 593, 796, 3553, 339, 1782, 5360, 659, 1890, 267, 18136, 3586, 8086, 543, 2208, 2509, 9758, 9698, 543, 10014, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 681, 1014, 7605, 3205, 454, 2690, 1142, 1554, 540, 4563, 3778, 13600, 267, 594, 8359, 547, 5031, 519, 18517, 540, 3109, 2713, 17691, 2443, 2043, 945, 723, 6131, 741, 2729, 547, 2870, 2318, 1514, 1689, 267, 8840, 2681, 7496, 267, 543, 10317, 1154, 519, 1158, 609, 1148, 543, 2575, 269, 594, 4941, 547, 723, 606, 4316, 547, 8661, 519, 1279, 2729, 543, 23543, 540, 891, 17691, 945, 1869, 3802, 1851, 721, 269, 17949, 2340, 507, 353, 454, 10428, 29945, 630, 4198, 273, 268, 994, 29820, 717, 3271, 807, 14639, 20242, 9469, 547, 2324, 11665, 3237, 538, 519, 2295, 540, 17996, 267, 11350, 29945, 4810, 20250, 519, 19178, 540, 10168, 267, 3023, 1143, 267, 543, 6710, 3395, 909, 538, 519, 5302, 27935, 5045, 269, 13622, 779, 24233, 2833, 22937, 2933, 2047, 547, 1200, 3875, 5339, 7418, 5466, 519, 28622, 540, 5198, 267, 1362, 267, 543, 4008, 563, 2304, 2278, 267, 19829, 267, 543, 1514, 19191, 267, 1200, 960, 568, 9833, 607, 3810, 9565, 1369, 519, 1514, 5126, 543, 15594, 2950, 269, 4173, 8037, 1568, 1331, 281, 1656, 1703, 1284, 1284, 696, 630, 3192, 279, 1070, 589, 514, 1406, 594, 513, 19716, 286, 630, 2735, 272, 1070, 12339, 21442, 7869, 281, 3245, 12540, 514, 547, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 12339, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 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, 6092, 5149, 281, 634, 26789, 21805, 543, 4706, 17583, 547, 7073, 1977, 2657, 2598, 1706, 885, 692, 7072, 1384, 763, 26789, 21805, 729, 513, 3060, 540, 5728, 11507, 543, 2922, 8075, 1031, 676, 20665, 3979, 4892, 547, 9101, 883, 1863, 2829, 543, 4516, 1282, 519, 4571, 268, 866, 628, 2540, 269, 901, 804, 663, 32347, 1062, 5129, 513, 2629, 1909, 538, 519, 4339, 1996, 8474, 543, 5280, 3337, 2413, 1977, 1686, 269, 1717, 267, 519, 9371, 540, 8474, 5170, 547, 1764, 519, 1072, 543, 8171, 540, 4563, 4892, 2221, 269, 6736, 1373, 519, 5763, 5006, 2197, 538, 519, 1158, 267, 519, 2136, 2276, 561, 4711, 3297, 824, 2919, 6082, 538, 1883, 1072, 10832, 269, 901, 1576, 1770, 786, 2263, 519, 4276, 1063, 519, 3140, 6560, 585, 5191, 6719, 676, 519, 26789, 21805, 543, 4207, 2152, 4478, 7292, 13103, 538, 1977, 3782, 780, 4089, 476, 272, 281, 1323, 11137, 540, 519, 26789, 21805, 692, 265, 16294, 519, 2165, 834, 15152, 3033, 21805, 257, 543, 4766, 875, 621, 13234, 563, 265, 10576, 2101, 5515, 3238, 538, 519, 26789, 21805, 543, 741, 7418, 563, 265, 11512, 519, 4644, 540, 4498, 28625, 31793, 2006, 781, 5718, 543, 1200, 3310, 593, 519, 20552, 626, 3350, 563, 265, 14674, 519, 4220, 5185, 676, 1346, 945, 15548, 538, 519, 26789, 21805, 543, 519, 4539, 789, 28815, 952, 9575, 780, 4089, 476, 273, 281, 8466, 12745, 910, 26913, 267, 17813, 267, 543, 2657, 692, 265, 25826, 519, 2078, 1063, 5198, 267, 8474, 267, 543, 4915, 1282, 519, 24970, 31616, 1974, 563, 265, 31385, 519, 14226, 540, 20665, 1004, 585, 2564, 17634, 543, 7443, 563, 265, 6333, 519, 1279, 3856, 5222, 540, 7142, 9194, 267, 4074, 267, 543, 9668, 689, 1920, 2818, 593, 519, 2168, 543, 2790, 1072, 540, 20665, 2043, 563, 265, 31209, 519, 2081, 538, 799, 22457, 19237, 941, 11251, 1369, 2038, 1977, 2564, 2069, 543, 2259, 780, 4089, 476, 274, 281, 12634, 25684, 910, 30101, 2598, 1706, 885, 538, 1977, 16195, 692, 265, 29130, 1883, 2474, 543, 2035, 4143, 547, 1620, 2413, 1072, 13103, 267, 1519, 1514, 21876, 540, 1072, 267, 7293, 10168, 267, 543, 17697, 9186, 563, 265, 14424, 7194, 593, 1585, 1072, 10832, 630, 324, 3052, 1421, 10867, 9019, 3928, 267, 1272, 2503, 17473, 267, 9860, 540, 5312, 2175, 264, 2066, 1114, 7292, 2516, 538, 519, 772, 2529, 563, 265, 5623, 1382, 4681, 593, 519, 2942, 2360, 540, 7130, 593, 2790, 543, 2168, 1072, 4093, 1851, 2950, 540, 2681, 563, 265, 21414, 519, 6708, 547, 799, 3140, 23543, 3136, 547, 3565, 547, 10770, 1072, 31716, 538, 1459, 6377, 3013, 780, 4089, 476, 275, 281, 8889, 13786, 525, 543, 8892, 19648, 692, 265, 8178, 1699, 4507, 6322, 693, 5466, 1072, 13103, 267, 971, 607, 519, 32285, 5516, 2920, 543, 27083, 7269, 563, 265, 1160, 2821, 1761, 3609, 7459, 543, 2146, 7341, 602, 1223, 948, 11574, 519, 5571, 1764, 540, 8474, 543, 10168, 593, 4563, 4892, 262, 1072, 563, 265, 11559, 2565, 8086, 593, 1367, 5107, 538, 31328, 610, 24905, 1782, 1949, 540, 15746, 1369, 3782, 5468, 780, 6962, 1384, 1607, 1576, 1770, 814, 25139, 519, 4296, 1063, 519, 8978, 6560, 585, 5191, 22993, 676, 519, 26789, 21805, 543, 519, 18094, 540, 7292, 1072, 13103, 538, 2413, 3013, 269, 1635, 29947, 938, 1620, 540, 891, 3347, 267, 649, 666, 1732, 5660, 1312, 519, 3356, 1500, 2094, 31414, 543, 519, 4797, 2591, 6849, 12790, 2950, 2221, 269, 11086, 267, 14344, 519, 2250, 2636, 721, 547, 19424, 513, 2104, 1141, 782, 2043, 723, 3160, 1569, 547, 2298, 3782, 543, 3255, 585, 6099, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5719, 321, 622, 936, 3013, 779, 1747, 693, 519, 1283, 540, 2804, 2706, 335, 10183, 11735, 267, 621, 568, 2312, 602, 621, 568, 711, 513, 2706, 12741, 538, 1072, 269, 769, 1249, 267, 713, 4659, 540, 6925, 630, 296, 6865, 264, 9730, 593, 5398, 2657, 11150, 547, 13724, 2657, 31234, 602, 8806, 8757, 519, 3328, 540, 13380, 1164, 13867, 2477, 538, 1072, 4567, 1131, 2154, 9645, 3084, 4674, 563, 8601, 7836, 2484, 811, 593, 2564, 1416, 982, 1022, 824, 4182, 267, 543, 5103, 2348, 2938, 513, 2540, 540, 26080, 6454, 538, 2551, 1072, 543, 15325, 267, 519, 2136, 2276, 568, 1631, 9991, 3297, 1082, 540, 922, 2518, 13413, 543, 15712, 538, 971, 1072, 4093, 607, 2949, 1272, 19104, 543, 519, 11841, 540, 28824, 3676, 543, 7063, 269, 589, 4909, 855, 1419, 15763, 9920, 540, 519, 19261, 1063, 7836, 543, 4093, 568, 519, 4182, 779, 16283, 5092, 538, 2994, 602, 3895, 1072, 543, 2061, 2068, 543, 5945, 2551, 17253, 269, 11150, 602, 616, 1419, 24298, 676, 519, 1305, 540, 12708, 5398, 2657, 590, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3778, 1315, 2136, 2276, 1315, 6406, 2782, 11270, 630, 6977, 271, 268, 6942, 278, 264, 1315, 634, 26789, 21805, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11436, 267, 799, 649, 2322, 998, 519, 678, 5424, 1169, 1554, 563, 2791, 2461, 11179, 29957, 3842, 621, 1700, 10438, 267, 16889, 538, 1063, 1086, 25378, 10070, 693, 519, 1072, 8630, 543, 865, 8521, 269, 9320, 707, 1453, 616, 3478, 621, 609, 1447, 31032, 268, 30236, 3946, 563, 7775, 7654, 596, 2461, 627, 6235, 909, 1139, 518, 630, 30750, 972, 267, 6151, 16738, 1070, 20170, 547, 513, 26964, 8670, 563, 2467, 779, 513, 1390, 4308, 540, 17973, 543, 849, 17900, 16304, 1472, 593, 707, 1919, 563, 7312, 16353, 25439, 1107, 8262, 7465, 2885, 2961, 8175, 17451, 2336, 2026, 1004, 1491, 25113, 689, 519, 11452, 538, 741, 4036, 1878, 267, 1004, 616, 7738, 741, 3946, 1256, 811, 982, 2479, 1354, 269, 1809, 1018, 827, 707, 16335, 267, 799, 596, 1034, 2693, 5905, 1454, 811, 982, 1022, 1826, 540, 1585, 824, 1843, 538, 707, 2777, 286, 1215, 1677, 17179, 631, 1926, 15168, 916, 454, 288, 5100, 3926, 568, 519, 1034, 2123, 1919, 649, 723, 561, 19982, 621, 9170, 689, 519, 2706, 21466, 547, 11547, 7741, 269, 12829, 3457, 616, 6444, 547, 3142, 811, 4551, 982, 835, 1131, 14650, 269, 5525, 723, 2965, 1336, 621, 547, 581, 13897, 1512, 982, 862, 1712, 26633, 563, 763, 11452, 3294, 267, 829, 606, 6268, 676, 519, 4750, 540, 11233, 25124, 267, 666, 968, 11825, 626, 593, 5163, 1652, 2627, 2127, 899, 4496, 267, 4837, 610, 5068, 585, 909, 547, 476, 280, 2395, 2223, 2495, 707, 5100, 3926, 1223, 581, 693, 1981, 269, 7581, 753, 532, 873, 609, 606, 6221, 540, 12308, 543, 4550, 1532, 17424, 666, 1745, 899, 513, 10279, 269, 1656, 849, 267, 23931, 3435, 666, 5732, 581, 16160, 547, 707, 6049, 779, 5496, 563, 2304, 3063, 2653, 607, 1134, 607, 6325, 3903, 616, 24846, 1944, 3457, 602, 1118, 946, 540, 22292, 630, 10013, 264, 1769, 269, 1452, 4216, 11057, 2645, 267, 602, 25861, 569, 1413, 899, 9910, 30489, 566, 1630, 16251, 689, 1414, 30235, 535, 997, 802, 267, 2097, 7677, 1639, 609, 513, 524, 2784, 548, 1141, 596, 2990, 707, 6049, 630, 528, 4376, 3116, 602, 13352, 267, 899, 5794, 303, 16104, 1070, 2673, 621, 909, 267, 2981, 621, 593, 267, 543, 849, 538, 1472, 476, 1015, 3764, 596, 1590, 1205, 513, 10351, 6954, 6049, 563, 8794, 589, 11158, 5842, 527, 6500, 547, 11162, 2659, 16353, 25439, 454, 4415, 513, 1390, 11158, 1769, 24846, 1944, 1907, 267, 596, 666, 2973, 572, 7252, 899, 11380, 339, 3591, 543, 849, 7450, 21314, 267, 29826, 543, 849, 30079, 267, 610, 1346, 2472, 602, 616, 7683, 609, 596, 267, 899, 707, 6049, 563, 4517, 10071, 958, 286, 1411, 1590, 2731, 2973, 572, 707, 6049, 2899, 538, 513, 1247, 269, 4340, 547, 3875, 2090, 267, 938, 11436, 616, 7282, 519, 546, 597, 2906, 339, 3688, 538, 938, 2729, 267, 3771, 321, 1681, 593, 8723, 3592, 476, 736, 267, 1822, 10058, 2010, 540, 14471, 563, 2026, 1134, 607, 1247, 530, 31441, 1524, 513, 5985, 6049, 609, 12853, 607, 1134, 607, 1216, 610, 568, 641, 1886, 2643, 4568, 1223, 711, 581, 519, 1034, 2500, 1523, 267, 11158, 6049, 24846, 1944, 2665, 786, 711, 3441, 519, 31942, 2943, 786, 1205, 7759, 540, 8290, 543, 4551, 267, 865, 1279, 607, 596, 946, 519, 24846, 1944, 8800, 3927, 543, 22991, 563, 25219, 559, 1944, 11158, 8752, 547, 23703, 15168, 916, 454, 2026, 2528, 554, 6064, 619, 1524, 538, 606, 4674, 547, 16718, 519, 3262, 540, 5046, 268, 866, 267, 4749, 5219, 547, 607, 519, 11452, 267, 2043, 616, 2921, 22608, 15416, 547, 1832, 2933, 689, 20414, 519, 4576, 267, 9967, 540, 1582, 6709, 5875, 1456, 543, 849, 632, 4186, 3133, 908, 3335, 20109, 2627, 2127, 269, 7435, 24846, 6500, 267, 27012, 4568, 267, 607, 1134, 607, 824, 4550, 1532, 1461, 10118, 616, 4867, 538, 5618, 3761, 563, 4415, 812, 13402, 24846, 9088, 538, 3908, 3761, 267, 6266, 540, 616, 7432, 547, 2470, 779, 4550, 1532, 17424, 281, 22292, 1769, 269, 11158, 23735, 2747, 814, 1279, 1044, 1031, 547, 21149, 11623, 543, 1919, 267, 865, 621, 2306, 1434, 2631, 547, 4898, 281, 2052, 11158, 1769, 6146, 11452, 888, 2791, 917, 513, 3141, 14315, 568, 711, 2731, 513, 15835, 267, 3617, 286, 3502, 513, 15835, 971, 607, 596, 1131, 4309, 689, 4049, 4598, 547, 513, 3636, 2039, 610, 606, 1930, 3595, 269, 6129, 321, 5281, 616, 538, 1249, 5982, 3441, 3361, 676, 22292, 1769, 269, 769, 519, 2110, 3856, 267, 713, 11158, 1463, 4598, 5932, 25017, 267, 9636, 543, 890, 9934, 282, 538, 519, 17890, 2165, 267, 7050, 22247, 4598, 547, 7943, 666, 1267, 538, 2960, 2860, 563, 2467, 779, 513, 2318, 2427, 2630, 267, 1498, 281, 519, 1482, 11158, 1769, 630, 14588, 32496, 11158, 4211, 1769, 267, 799, 814, 513, 15423, 1063, 476, 1220, 543, 849, 476, 18231, 6289, 18852, 267, 1247, 18476, 8279, 10545, 15423, 3800, 476, 23884, 16354, 264, 602, 28746, 519, 5393, 5027, 540, 1480, 2960, 936, 942, 666, 581, 10244, 539, 543, 8246, 547, 608, 32558, 622, 4551, 538, 513, 2339, 540, 3764, 563, 6701, 11158, 8752, 5842, 527, 9088, 15822, 888, 288, 1880, 2039, 540, 22292, 1769, 267, 2484, 11158, 4211, 267, 968, 324, 977, 1947, 7080, 1742, 4551, 1510, 3441, 547, 7000, 3662, 2960, 2223, 2687, 547, 513, 1382, 1353, 5950, 538, 7186, 269, 968, 1607, 568, 1317, 267, 1317, 540, 922, 2178, 10110, 766, 538, 6211, 2472, 267, 2484, 268, 10013, 290, 1769, 666, 711, 15449, 622, 849, 519, 5007, 630, 12061, 2713, 264, 6106, 540, 1480, 2960, 610, 3750, 282, 2705, 267, 1813, 547, 519, 1249, 602, 8290, 543, 849, 14471, 616, 540, 30562, 2678, 610, 4130, 7403, 267, 2484, 268, 10013, 290, 666, 23309, 607, 1134, 607, 30737, 10675, 873, 1848, 269, 1215, 1677, 17179, 631, 1926, 15168, 916, 454, 10932, 899, 713, 7186, 1353, 2982, 602, 2484, 268, 10013, 290, 22311, 666, 4894, 1256, 23197, 5563, 1510, 31362, 2043, 267, 543, 849, 865, 649, 666, 4952, 513, 1158, 538, 799, 2469, 998, 8184, 12363, 3106, 543, 3354, 610, 10024, 513, 2564, 9744, 3322, 8429, 609, 513, 11158, 22729, 12068, 563, 9617, 1215, 11158, 8752, 918, 1571, 5843, 15816, 454, 309, 21905, 1810, 1406, 30712, 676, 2933, 267, 855, 789, 798, 723, 22420, 1570, 267, 2901, 5027, 610, 10717, 269, 1358, 30712, 676, 8220, 547, 2281, 543, 849, 7630, 532, 741, 5027, 269, 2368, 5563, 28230, 856, 540, 519, 13572, 1591, 630, 10472, 1106, 540, 18883, 568, 1572, 519, 11430, 6776, 4783, 1070, 1247, 1866, 19467, 1318, 883, 519, 13572, 1591, 267, 10063, 1424, 1142, 942, 602, 1591, 10943, 1080, 630, 569, 338, 8328, 1916, 2252, 596, 4076, 2479, 1354, 5833, 513, 3141, 14315, 267, 596, 4076, 1185, 513, 6492, 540, 875, 11158, 1769, 23352, 8290, 281, 11158, 1769, 666, 3441, 5027, 269, 589, 5027, 9325, 568, 9112, 689, 476, 273, 22204, 3808, 609, 1142, 824, 676, 476, 275, 13279, 267, 20722, 710, 630, 288, 1070, 11118, 27343, 630, 290, 1070, 1368, 29516, 630, 294, 1070, 607, 1134, 607, 555, 2096, 710, 630, 307, 1040, 1452, 13279, 18613, 606, 9904, 267, 543, 849, 741, 5311, 5686, 4808, 585, 2281, 547, 21613, 563, 10013, 1769, 666, 1711, 555, 2096, 710, 13279, 547, 25146, 609, 1142, 824, 267, 678, 5241, 519, 5027, 3126, 543, 849, 10416, 18530, 513, 530, 3402, 1318, 883, 519, 12227, 269, 5221, 519, 5027, 3126, 568, 1100, 3476, 1318, 267, 621, 666, 1100, 1454, 3476, 16196, 5265, 269, 901, 568, 4010, 875, 11158, 1769, 3045, 8811, 559, 919, 8290, 267, 676, 14124, 741, 2702, 547, 21613, 563, 2710, 3502, 27016, 1677, 5192, 590, 1157, 11088, 454, 7476, 7759, 540, 519, 5906, 4551, 596, 607, 1134, 607, 707, 17329, 3283, 616, 16271, 547, 4948, 269, 898, 3217, 1175, 513, 7008, 540, 7643, 585, 4313, 269, 6875, 513, 1413, 693, 519, 11158, 5842, 527, 9088, 11593, 2139, 2221, 547, 2226, 596, 543, 849, 707, 7622, 5150, 689, 4551, 269, 1215, 1677, 17179, 631, 1926, 15168, 916, 0, 320, 2527, 540, 20841, 909, 547, 476, 279, 1789, 274, 4846, 630, 280, 9748, 1040, 4438, 519, 808, 305, 2862, 18001, 4083, 476, 1001, 277, 8062, 267, 513, 7463, 588, 528, 21943, 7382, 729, 1031, 547, 22412, 622, 476, 3445, 278, 273, 4846, 630, 1015, 9748, 264, 540, 20841, 267, 543, 513, 3560, 7382, 518, 729, 1031, 547, 22412, 622, 476, 12293, 3445, 4846, 630, 866, 269, 276, 9748, 264, 540, 20841, 269, 634, 808, 305, 2862, 3853, 941, 547, 2445, 2707, 2165, 1239, 2676, 21801, 476, 2767, 267, 476, 1220, 277, 5788, 25914, 710, 781, 2527, 568, 711, 513, 2898, 1297, 1317, 540, 519, 6228, 540, 24745, 540, 20841, 269, 1772, 582, 8554, 540, 20841, 723, 519, 1482, 10570, 1297, 855, 609, 1114, 2527, 1297, 269, 634, 2527, 540, 20841, 476, 3374, 269, 276, 568, 4061, 519, 3328, 2527, 540, 782, 891, 24745, 1759, 593, 1142, 24236, 781, 2600, 11606, 538, 2470, 269, 4855, 856, 875, 24745, 666, 581, 9571, 1210, 2527, 26563, 4479, 269, 6258, 827, 24745, 543, 875, 789, 9305, 547, 519, 3328, 10570, 2527, 540, 606, 3693, 269, 1403, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 269, 2904, 476, 6860, 267, 476, 1708, 271, 5788, 26994, 3601, 540, 20841, 269, 634, 10570, 2527, 540, 606, 3693, 568, 5462, 676, 519, 2698, 2527, 540, 25268, 543, 22571, 602, 666, 581, 1336, 538, 513, 2582, 11046, 10362, 547, 713, 3693, 269, 1306, 585, 519, 2990, 1141, 547, 1265, 20841, 1369, 519, 13350, 3349, 540, 519, 2609, 267, 20841, 568, 538, 1895, 476, 1704, 543, 1974, 476, 274, 269, 25914, 710, 814, 606, 10570, 2527, 540, 476, 3374, 267, 28526, 579, 563, 14701, 3192, 20720, 4200, 288, 272, 910, 6713, 585, 3857, 337, 4328, 22016, 5627, 5230, 8407, 609, 513, 20841, 1543, 540, 811, 982, 476, 1015, 260, 676, 2527, 543, 13621, 19460, 585, 8876, 856, 519, 1184, 910, 5616, 4793, 757, 6713, 585, 3857, 337, 4328, 22016, 5627, 5230, 8407, 609, 513, 20841, 1543, 540, 811, 982, 476, 1015, 260, 676, 2527, 543, 13621, 19460, 585, 8876, 856, 519, 1184, 454, 300, 12817, 2527, 630, 332, 12817, 2597, 264, 568, 519, 2527, 540, 835, 11140, 540, 513, 6219, 543, 568, 6829, 538, 519, 19618, 10570, 2527, 4559, 630, 340, 1040, 630, 272, 579, 568, 3160, 547, 476, 272, 270, 1321, 519, 2527, 540, 835, 11046, 540, 3327, 268, 1321, 264, 631, 6897, 2527, 630, 332, 6897, 2597, 264, 568, 519, 2527, 540, 835, 3727, 540, 513, 6219, 543, 568, 6829, 538, 575, 8276, 565, 269, 1284, 2074, 540, 8444, 543, 24745, 616, 689, 715, 8780, 2376, 269, 2690, 1383, 952, 596, 723, 476, 272, 11899, 540, 19923, 302, 3653, 543, 1616, 547, 29379, 519, 7601, 689, 621, 267, 621, 1131, 581, 5363, 547, 917, 602, 19923, 302, 568, 476, 8064, 269, 6434, 277, 3393, 275, 6507, 280, 27543, 2764, 260, 21019, 543, 476, 736, 269, 13647, 276, 3393, 13136, 278, 1626, 278, 2420, 260, 5135, 676, 2597, 799, 5666, 547, 476, 278, 7176, 269, 279, 5038, 276, 5325, 8064, 273, 279, 3953, 279, 575, 7601, 543, 476, 1001, 269, 13670, 3393, 273, 21709, 15757, 2420, 575, 5135, 270, 4846, 19923, 302, 269, 7136, 18470, 332, 476, 271, 269, 28526, 277, 4846, 5295, 24605, 476, 271, 269, 278, 3393, 278, 737, 310, 10361, 10264, 476, 271, 269, 19054, 279, 544, 2037, 11209, 6853, 737, 5632, 21515, 476, 275, 269, 5908, 279, 737, 297, 21515, 31641, 308, 15828, 321, 332, 476, 273, 269, 30444, 737, 297, 21515, 13937, 3586, 737, 5632, 21515, 14389, 476, 275, 269, 5908, 279, 737, 297, 21515, 14389, 16930, 3002, 31641, 308, 15828, 321, 332, 10611, 476, 275, 269, 5908, 279, 737, 297, 21515, 14389, 1299, 9980, 16552, 16930, 2527, 18470, 332, 270, 1111, 274, 476, 1626, 269, 26289, 276, 4846, 8276, 274, 610, 5860, 16930, 4320, 10264, 274, 1315, 331, 321, 332, 476, 271, 269, 6187, 273, 6246, 544, 274, 21515, 4855, 856, 875, 24745, 666, 581, 9571, 1210, 2527, 26563, 4479, 269, 6258, 827, 24745, 543, 875, 789, 9305, 547, 519, 3328, 10570, 2527, 540, 606, 3693, 269, 1403, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 269, 595, 277, 327, 277, 631, 6897, 7136, 454, 20685, 22005, 595, 273, 295, 275, 910, 661, 1492, 928, 910, 6167, 3422, 273, 6167, 9818, 279, 910, 476, 10619, 268, 5952, 268, 272, 269, 10049, 17356, 269, 32505, 2433, 5794, 700, 1172, 728 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1315, 14355, 7731, 630, 13627, 269, 3368, 513, 13304, 2476, 5148, 11135, 540, 4279, 15167, 630, 13627, 269, 3368, 513, 13304, 2476, 5148, 22810, 540, 4279, 15167, 630, 13627, 269, 3368, 513, 13304, 2476, 5148, 1548, 568, 513, 24522, 286, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 5148, 4208, 12706, 513, 22575, 3371, 286, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 5148, 634, 11635, 25315, 753, 570, 877, 519, 15794, 286, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 5148, 28966, 4400, 1811, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 4279, 15167, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4989, 476, 1704, 267, 476, 1708, 271, 269, 898, 729, 8385, 11643, 593, 5437, 476, 1691, 267, 476, 1001, 271, 267, 676, 18281, 645, 773, 828, 540, 27991, 1901, 820, 267, 9098, 269, 901, 2985, 814, 1044, 9763, 476, 3445, 276, 2053, 2094, 1287, 543, 476, 2767, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 269, 11643, 593, 5437, 476, 1691, 267, 476, 1001, 271, 267, 676, 18281, 645, 773, 828, 540, 27991, 1901, 820, 267, 9098, 269, 3040, 9291, 26172, 532, 22978, 729, 519, 9375, 945, 3370, 713, 2985, 269, 0, 308, 2529, 269, 17437, 1284, 777, 976, 13216, 281, 11137, 540, 4972, 540, 6052, 26317, 1496, 20826, 476, 277, 267, 476, 1001, 279, 316, 1496, 13449, 7824, 910, 476, 272, 11586, 2639, 257, 25215, 976, 2225, 585, 772, 2529, 269, 6046, 9604, 29084, 538, 1312, 519, 4972, 540, 16470, 630, 291, 7495, 264, 543, 519, 4972, 540, 6052, 630, 23077, 292, 1040, 667, 7495, 10953, 267, 632, 17558, 267, 543, 13333, 519, 28862, 543, 8484, 602, 5838, 6046, 2112, 21650, 269, 898, 849, 12958, 519, 4108, 4170, 585, 519, 2112, 21650, 5645, 593, 1346, 5867, 269, 11298, 292, 267, 543, 922, 5033, 807, 583, 26127, 2817, 17437, 8232, 10029, 630, 13585, 6347, 1070, 936, 5408, 519, 1382, 267, 1646, 267, 4152, 267, 543, 11601, 3292, 602, 3132, 267, 2226, 267, 543, 2844, 519, 6046, 2112, 21650, 269, 1677, 3035, 891, 6859, 267, 519, 6703, 602, 13822, 519, 6046, 9604, 1950, 3132, 6046, 2326, 267, 5958, 622, 6046, 543, 1875, 333, 13086, 3334, 267, 27043, 543, 771, 553, 14517, 6046, 2112, 21650, 267, 2932, 3621, 1382, 543, 2079, 547, 2226, 6015, 538, 519, 10727, 540, 4540, 2112, 21650, 267, 11753, 3334, 609, 6046, 9604, 6765, 6472, 267, 543, 2932, 1489, 4238, 4799, 10135, 306, 7797, 585, 6837, 267, 681, 28526, 6187, 0, 29973, 11254, 7408, 616, 11254, 7408, 602, 519, 1560, 3112, 1118, 543, 4061, 991, 547, 581, 5833, 998, 3544, 2959, 899, 1426, 543, 9360, 269, 1358, 616, 2556, 585, 1697, 1560, 1599, 543, 960, 547, 3666, 519, 2157, 540, 5714, 538, 519, 1560, 267, 7816, 2281, 267, 543, 3132, 11476, 1247, 5009, 1648, 10307, 269, 12708, 589, 2381, 334, 18729, 13216, 949, 581, 3144, 547, 1489, 588, 1066, 6681, 15904, 267, 948, 609, 519, 10282, 540, 4887, 5946, 267, 3895, 6051, 1310, 3635, 267, 543, 1628, 5642, 543, 4887, 4222, 269, 898, 949, 849, 581, 6225, 585, 519, 11361, 607, 621, 949, 581, 1031, 547, 2226, 4887, 2527, 269, 901, 15096, 729, 1500, 609, 519, 948, 540, 700, 3620, 626, 26593, 267, 700, 28104, 1961, 1075, 710, 587, 504, 700, 6122, 1075, 710, 587, 504, 700, 268, 569, 338, 710, 722, 504, 700, 2173, 996, 542, 710, 587, 504, 700, 1790, 1156, 2643, 23750, 710, 587, 504, 700, 6253, 516, 517, 710, 587, 504, 700, 29705, 710, 267, 543, 6171, 595, 630, 1729, 3986, 10338, 1916, 299, 25322, 583, 8533, 568, 606, 11254, 3679, 602, 814, 513, 3376, 2039, 540, 3096, 269, 898, 568, 519, 3119, 4492, 585, 2281, 540, 519, 1507, 16892, 267, 1818, 621, 1898, 585, 5466, 13451, 344, 8937, 267, 16038, 19447, 267, 543, 824, 15499, 2152, 269, 898, 568, 849, 538, 2860, 3797, 585, 519, 2126, 540, 18068, 5829, 5778, 12949, 625, 269, 700, 25322, 583, 8533, 568, 2838, 585, 519, 8647, 540, 3043, 1973, 2281, 267, 865, 621, 568, 8612, 538, 1022, 2175, 540, 1970, 12046, 1519, 897, 1091, 267, 2770, 267, 610, 824, 5563, 269, 898, 666, 948, 1628, 4887, 2527, 543, 2087, 1648, 2949, 267, 543, 568, 513, 835, 540, 519, 1614, 11254, 7408, 2556, 538, 2679, 519, 4487, 15934, 1572, 22965, 987, 7748, 563, 289, 3757, 3481, 16644, 664, 589, 2381, 334, 3600, 1749, 630, 6195, 288, 2026, 264, 5161, 540, 1614, 1898, 11254, 7408, 267, 799, 616, 682, 1075, 710, 267, 568, 1961, 1075, 710, 543, 1130, 710, 269, 7460, 288, 2026, 949, 581, 1031, 547, 2333, 4887, 2208, 267, 1489, 10709, 4887, 2527, 267, 3895, 4887, 1599, 1282, 3635, 267, 2569, 4887, 15319, 1145, 1310, 513, 15904, 267, 2569, 3635, 9854, 267, 543, 2061, 4887, 27830, 610, 15059, 269, 7460, 288, 2026, 616, 1390, 585, 1346, 945, 991, 4492, 585, 741, 6091, 563, 299, 5336, 996, 542, 710, 568, 606, 1898, 11254, 3679, 602, 3568, 16247, 543, 568, 1336, 6923, 538, 5779, 267, 3165, 267, 5798, 267, 543, 10683, 2472, 269, 898, 666, 849, 581, 1336, 538, 930, 5613, 543, 5388, 282, 2705, 267, 693, 1454, 2539, 2157, 269, 700, 5336, 996, 542, 710, 568, 1271, 547, 2226, 3339, 1072, 607, 621, 2337, 519, 1560, 1118, 543, 946, 5946, 267, 8311, 1125, 9600, 267, 14014, 519, 1560, 689, 1863, 268, 2784, 673, 3441, 630, 26238, 621, 779, 606, 15934, 1070, 4249, 513, 1909, 538, 5027, 18861, 566, 267, 543, 7472, 519, 30088, 22515, 543, 22006, 269, 700, 5336, 996, 542, 710, 949, 581, 1031, 547, 1489, 519, 6797, 543, 8031, 543, 949, 948, 1521, 4745, 1928, 543, 20765, 267, 2489, 1928, 267, 14331, 267, 15353, 267, 4552, 2530, 267, 543, 4965, 563, 299, 2275, 7568, 527, 710, 568, 606, 11254, 3679, 602, 4249, 513, 3844, 1909, 538, 1648, 2504, 1369, 2281, 269, 898, 568, 513, 2556, 1071, 26476, 585, 2281, 547, 581, 2111, 547, 6633, 3170, 607, 513, 4492, 269, 634, 1035, 1214, 3836, 1106, 540, 700, 2275, 7568, 527, 710, 568, 811, 1808, 585, 519, 2634, 1317, 713, 1106, 10596, 2066, 519, 1973, 1532, 1778, 11064, 269, 898, 568, 8612, 585, 4824, 2790, 2773, 267, 2634, 20893, 267, 543, 568, 606, 5140, 3797, 547, 2232, 834, 17057, 334, 2634, 2437, 519, 2634, 20893, 602, 568, 711, 528, 13124, 2404, 609, 6671, 18068, 563, 298, 16587, 13013, 18904, 568, 513, 27520, 7110, 602, 6811, 547, 798, 513, 811, 2500, 2816, 982, 2147, 2472, 538, 12419, 6915, 19989, 11337, 2158, 547, 707, 1062, 269, 634, 968, 2793, 307, 892, 538, 918, 16587, 13013, 18904, 6763, 585, 968, 301, 9173, 958, 11628, 5303, 1701, 6097, 547, 623, 745, 10903, 267, 13013, 18904, 568, 2111, 547, 798, 513, 1732, 2816, 540, 14031, 21109, 982, 824, 27520, 9360, 267, 799, 568, 1883, 952, 707, 27520, 2732, 2597, 2530, 3646, 616, 547, 2972, 1279, 2165, 1967, 269, 634, 608, 18100, 11337, 2158, 13859, 676, 13013, 18904, 616, 1767, 547, 581, 9838, 538, 2470, 547, 519, 1439, 18100, 11337, 2158, 6383, 676, 519, 1560, 1022, 942, 621, 1793, 2354, 883, 11337, 2670, 7868, 1267, 568, 602, 707, 1560, 786, 798, 513, 1732, 2816, 8311, 1944, 3170, 883, 1648, 543, 596, 3580, 6336, 811, 2597, 5488, 982, 596, 1131, 1210, 1022, 824, 29145, 7110, 563, 298, 16587, 13013, 18904, 568, 17154, 267, 15347, 6954, 267, 3568, 1100, 4006, 4568, 543, 3096, 1216, 30320, 681, 5174, 9508, 10281, 32611, 8117, 344, 3433, 547, 5838, 922, 11337, 821, 4452, 547, 707, 1062, 269, 898, 779, 849, 10683, 1863, 4849, 585, 519, 21060, 14134, 4528, 799, 3096, 513, 3787, 540, 10683, 547, 7520, 922, 6765, 7271, 269, 2334, 1767, 519, 12146, 1592, 585, 918, 16587, 13013, 18904, 568, 607, 5205, 912, 289, 295, 289, 910, 681, 5174, 9508, 10281, 32611, 8117, 344, 3433, 2337, 10038, 1973, 11337, 821, 2157, 543, 568, 606, 5214, 7623, 602, 568, 513, 2629, 6345, 538, 519, 1184, 540, 8311, 1944, 3170, 269, 2859, 593, 713, 538, 513, 4090, 563, 299, 6874, 4768, 710, 910, 700, 6874, 4768, 710, 568, 606, 11254, 3679, 602, 568, 606, 1898, 5057, 538, 519, 2504, 540, 5946, 1031, 547, 1711, 4887, 5160, 269, 9453, 621, 267, 707, 15904, 1995, 1131, 2887, 6366, 563, 293, 518, 7757, 700, 30071, 1075, 710, 910, 700, 30071, 1075, 710, 568, 835, 540, 476, 280, 1898, 11254, 7408, 602, 3112, 581, 3812, 676, 519, 1560, 855, 3079, 1590, 581, 10057, 2901, 538, 1426, 610, 538, 513, 24045, 6752, 269, 4340, 547, 18281, 15011, 337, 1912, 6185, 269, 936, 693, 9093, 781, 2657, 968, 8867, 1075, 710, 568, 519, 4887, 20671, 1379, 5264, 3034, 290, 5336, 539, 476, 1911, 910, 2274, 4157, 13449, 807, 568, 513, 2783, 13296, 519, 1560, 568, 711, 6721, 606, 7850, 1297, 540, 3043, 1973, 2281, 269, 3194, 6920, 602, 595, 5336, 539, 476, 1911, 630, 15635, 7559, 547, 618, 6242, 264, 949, 581, 2500, 538, 25559, 532, 32151, 13449, 807, 543, 538, 29000, 5027, 7816, 269, 2755, 621, 779, 1390, 547, 917, 621, 786, 948, 5027, 7816, 649, 2461, 711, 2386, 1946, 602, 779, 1271, 585, 519, 29145, 2732, 563, 292, 787, 628, 761, 565, 910, 661, 787, 628, 761, 565, 568, 513, 2067, 6653, 10273, 12021, 585, 2348, 4642, 29944, 4994, 543, 3592, 1100, 8477, 269, 1306, 971, 621, 7472, 1100, 1689, 538, 1973, 7280, 2157, 563, 3725, 321, 7596, 3930, 728, 589, 910, 1234, 321, 7596, 3930, 728, 589, 568, 513, 21862, 807, 12045, 602, 568, 1767, 547, 581, 6923, 476, 1220, 2053, 4418, 2678, 982, 4006, 269, 13966, 609, 661, 787, 628, 761, 565, 267, 621, 568, 3769, 1934, 547, 1118, 13013, 18904, 811, 5493, 23534, 563, 290, 25377, 710, 910, 634, 1034, 2500, 2067, 8102, 656, 2479, 4362, 14933, 568, 3769, 547, 948, 2285, 596, 513, 5818, 538, 519, 6640, 543, 547, 948, 1379, 707, 23736, 269, 1703, 616, 849, 7164, 9424, 540, 6171, 645, 1321, 607, 1134, 607, 7513, 543, 12498, 21307, 582, 2940, 563, 763, 1898, 11254, 7408, 616, 1572, 602, 585, 513, 2601, 281, 789, 3112, 581, 3812, 24323, 267, 865, 789, 1590, 581, 5833, 998, 519, 2732, 610, 21455, 269, 1452, 11254, 7408, 616, 2565, 585, 2679, 543, 4509, 4887, 2527, 267, 585, 1648, 2504, 267, 19140, 2305, 538, 519, 6797, 267, 24561, 5160, 8699, 267, 4761, 1072, 267, 543, 12303, 1169, 4105, 1184, 538, 519, 1560, 269, 901, 4542, 568, 20979, 585, 13345, 267, 543, 568, 3617, 585, 9845, 267, 607, 1134, 607, 1346, 945, 616, 12225, 1227, 2192, 543, 693, 1981, 540, 2597, 2530, 610, 7092, 689, 9854, 543, 5924, 17350, 563, 8624, 739, 5300, 568, 513, 5714, 3812, 676, 519, 7882, 776, 15374, 540, 11864, 5063, 1310, 4758, 4332, 543, 1354, 6089, 5144, 2504, 5956, 269, 898, 568, 3638, 538, 5567, 267, 11950, 267, 9600, 267, 5946, 630, 7945, 607, 14915, 21580, 12541, 1070, 2208, 10399, 543, 9667, 11476, 607, 1134, 607, 3568, 6375, 15644, 592, 1231, 717, 630, 296, 326, 294, 1070, 589, 630, 296, 326, 288, 1070, 661, 630, 296, 326, 292, 1070, 667, 630, 296, 326, 291, 1070, 543, 631, 630, 296, 326, 300, 1040, 16384, 294, 568, 6923, 1336, 538, 519, 5207, 5834, 269, 645, 990, 710, 2051, 739, 5300, 949, 581, 1031, 547, 7794, 4761, 1062, 1599, 267, 2061, 543, 1521, 13165, 267, 5818, 9667, 1072, 267, 7816, 8401, 1062, 3441, 267, 2087, 7099, 267, 543, 3500, 10172, 269, 26465, 525, 949, 946, 621, 547, 6633, 3170, 267, 1628, 10709, 4887, 267, 2333, 26176, 2088, 543, 21755, 267, 543, 2087, 18942, 2773, 563, 301, 545, 582, 514, 29524, 25906, 657, 728, 568, 606, 4244, 1106, 540, 6171, 645, 274, 543, 568, 10736, 676, 519, 1560, 547, 12137, 582, 514, 29524, 20722, 710, 7188, 16197, 582, 728, 630, 2793, 291, 266, 1070, 513, 1071, 523, 10405, 602, 568, 1898, 585, 10307, 269, 715, 4696, 266, 568, 2556, 547, 6460, 1426, 883, 1648, 267, 7816, 8697, 5027, 267, 6830, 1518, 10408, 8878, 1062, 267, 543, 4259, 519, 1560, 781, 4835, 9219, 610, 27266, 11733, 269, 12832, 582, 514, 29524, 25906, 657, 728, 949, 581, 1031, 547, 9258, 519, 4191, 540, 10172, 689, 3330, 519, 1560, 269, 898, 22262, 519, 2504, 540, 715, 4696, 266, 543, 3976, 2337, 4339, 2489, 9854, 267, 8992, 2635, 10408, 10307, 543, 1648, 2504, 267, 7512, 32249, 5042, 1599, 267, 8992, 15325, 267, 24506 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30210, 4667, 547, 723, 1776, 6370, 547, 4339, 609, 519, 3656, 1436, 540, 32314, 4568, 267, 513, 1587, 30630, 676, 700, 2354, 5658, 20941, 269, 634, 1533, 568, 18418, 2299, 3843, 547, 1045, 5803, 513, 7333, 593, 519, 9042, 540, 713, 1587, 6216, 539, 968, 21595, 4022, 5608, 607, 621, 568, 2219, 547, 581, 5732, 811, 5906, 982, 922, 5277, 11218, 267, 2523, 585, 1453, 267, 609, 519, 1152, 6044, 1373, 547, 1039, 1216, 563, 15987, 713, 6370, 1369, 519, 2136, 2276, 949, 3100, 3209, 267, 519, 1101, 1634, 14664, 540, 32314, 4568, 729, 19429, 538, 476, 3422, 275, 269, 1703, 568, 849, 2417, 2446, 540, 922, 4527, 593, 519, 21684, 543, 538, 519, 5480, 3336, 538, 519, 476, 3192, 271, 338, 267, 2687, 547, 519, 2817, 15850, 545, 30094, 720, 6513, 5948, 630, 2793, 6195, 288, 1040, 634, 1184, 540, 5663, 713, 1587, 568, 1634, 607, 2890, 16780, 2355, 1637, 267, 799, 568, 4122, 1031, 538, 942, 3146, 3161, 2029, 267, 14398, 1161, 267, 3092, 269, 634, 2504, 540, 32314, 4568, 3322, 1958, 2084, 519, 4568, 6675, 609, 1945, 10110, 550, 267, 538, 713, 2013, 267, 632, 868, 12541, 1107, 513, 676, 1790, 6055, 540, 4006, 563, 21776, 476, 1001, 276, 4718, 8938, 5498, 1597, 2829, 10238, 1746, 519, 9042, 540, 6022, 4022, 267, 609, 8795, 23616, 2827, 269, 31379, 4250, 602, 713, 1587, 786, 581, 3765, 4310, 267, 543, 26884, 607, 621, 2968, 811, 2139, 543, 3015, 547, 896, 720, 2043, 269, 9861, 513, 8869, 267, 621, 1131, 581, 1454, 4443, 547, 10703, 531, 538, 10363, 7653, 267, 971, 607, 593, 1153, 22402, 269, 634, 2942, 2360, 949, 849, 581, 19765, 13846, 3056, 547, 30072, 610, 5906, 10659, 540, 32314, 4568, 609, 14185, 3990, 16098, 610, 1256, 609, 1776, 23931, 20892, 538, 606, 4674, 547, 2333, 519, 1494, 1890, 269, 634, 4250, 540, 2879, 15659, 568, 849, 513, 7872, 563, 2026, 609, 1022, 1007, 1587, 267, 519, 5294, 543, 931, 1590, 581, 18113, 26693, 269, 901, 568, 2523, 3020, 538, 713, 3236, 609, 4568, 946, 4713, 1373, 865, 11342, 538, 519, 772, 2529, 11065, 871, 547, 18248, 0, 294, 548, 760, 333, 597, 568, 519, 18052, 602, 1031, 547, 12622, 674, 523, 5142, 16423, 563, 763, 25245, 29331, 20827, 519, 546, 8705, 1407, 547, 585, 613, 513, 5832, 602, 729, 7543, 547, 2736, 269, 634, 546, 8705, 1407, 6752, 539, 519, 5832, 856, 540, 3670, 27581, 7543, 1919, 912, 268, 634, 3280, 540, 513, 3032, 781, 3723, 6420, 454, 268, 634, 581, 731, 540, 513, 4807, 454, 268, 634, 5072, 540, 513, 7823, 454, 268, 634, 20534, 9749, 540, 513, 7703, 454, 268, 634, 7362, 540, 513, 3165, 454, 268, 634, 838, 8077, 540, 513, 6177, 454, 294, 548, 760, 333, 597, 781, 3180, 593, 674, 523, 337, 597, 1185, 18604, 547, 519, 1448, 1141, 519, 16423, 729, 3592, 1863, 269, 13804, 639, 932, 848, 7307, 547, 5372, 717, 548, 760, 333, 597, 609, 513, 1007, 18052, 1310, 621, 729, 2759, 676, 1010, 1378, 18156, 5681, 541, 3630, 837, 269, 0, 290, 5055, 1111, 534, 568, 513, 1804, 2197, 538, 3844, 2342, 269, 4706, 4013, 2012, 568, 634, 14891, 6243, 540, 1849, 10762, 534, 630, 23389, 281, 12603, 5915, 758, 7806, 27528, 3115, 28362, 1731, 1849, 10762, 534, 1040, 1849, 10762, 534, 781, 2551, 568, 1657, 476, 272, 5479, 1004, 269, 5221, 540, 2487, 2621, 1849, 10762, 534, 781, 5837, 568, 9247, 695, 13593, 269, 898, 568, 1869, 3843, 547, 1205, 593, 922, 3952, 1310, 519, 2487, 14042, 3540, 2112, 563, 20458, 543, 17323, 454, 290, 5055, 1111, 534, 9247, 26328, 519, 616, 338, 1634, 607, 16848, 267, 5125, 267, 17389, 7770, 7322, 267, 15212, 267, 21640, 543, 519, 16231, 6243, 269, 1849, 10762, 534, 814, 2124, 339, 1947, 7646, 28782, 543, 3579, 24475, 269, 9282, 519, 17119, 640, 540, 28782, 543, 24475, 666, 8428, 269, 898, 568, 1360, 4411, 538, 519, 620, 18090, 4525, 538, 7013, 1849, 10762, 534, 269, 634, 4411, 652, 2191, 339, 675, 6592, 729, 910, 10619, 5232, 674, 11196, 6812, 5232, 13767, 857, 639, 264, 593, 1284, 1170, 332, 625, 538, 519, 24282, 710, 620, 1186, 269, 634, 29224, 2191, 339, 675, 729, 476, 8099, 5232, 674, 630, 476, 6246, 5232, 13767, 857, 639, 264, 538, 7262, 12670, 563, 2690, 811, 1344, 1294, 281, 5125, 454, 23338, 21570, 729, 8385, 20651, 676, 1896, 27272, 11031, 269, 1452, 11031, 941, 3238, 538, 10617, 609, 7507, 543, 971, 269, 1280, 811, 1344, 5225, 4945, 3095, 3177, 563, 293, 15929, 540, 1849, 10762, 534, 454, 290, 5055, 1111, 534, 729, 8547, 676, 11184, 5261, 29732, 8055, 5459, 538, 476, 14530, 273, 269, 4107, 12206, 2015, 8055, 5459, 547, 581, 15508, 1202, 2033, 269, 901, 568, 1317, 646, 4749, 4862, 9739, 689, 2696, 269, 1849, 10762, 534, 729, 4535, 689, 971, 513, 5075, 269, 0, 763, 3013, 781, 2657, 24419, 902, 262, 20128, 2775, 281, 10644, 1353, 267, 5950, 538, 11450, 609, 519, 1977, 5441, 540, 16473, 633, 6925, 267, 3576, 606, 538, 3829, 1413, 693, 1614, 6688, 540, 15324, 2533, 281, 1569, 547, 1072, 1416, 267, 6375, 3074, 543, 5312, 2068, 6604, 267, 547, 834, 20142, 633, 4656, 543, 1620, 257, 540, 519, 2956, 540, 15324, 2533, 543, 7459, 563, 763, 1867, 4967, 602, 6604, 568, 513, 834, 26074, 995, 851, 540, 519, 3070, 257, 607, 519, 1977, 3782, 1062, 834, 3333, 17369, 839, 922, 1445, 593, 2298, 267, 26622, 543, 2949, 1871, 1701, 630, 2419, 691, 281, 3962, 1533, 568, 513, 3039, 12297, 267, 3084, 3328, 568, 513, 12457, 14776, 543, 17996, 568, 513, 4544, 14776, 282, 4945, 593, 3239, 585, 3677, 4528, 994, 257, 16966, 547, 1072, 1416, 568, 513, 1883, 851, 540, 2068, 6604, 2437, 3081, 519, 1867, 269, 834, 31714, 1510, 1072, 6142, 1419, 723, 811, 7411, 17034, 519, 1072, 1416, 1062, 267, 616, 1447, 2693, 547, 7119, 538, 15324, 1416, 3292, 267, 543, 723, 811, 796, 5471, 1072, 2115, 982, 1346, 609, 1072, 6142, 4799, 763, 1867, 1336, 602, 476, 3445, 2600, 540, 13573, 3089, 2103, 4080, 789, 723, 930, 2186, 540, 1072, 6142, 267, 1657, 519, 3084, 3328, 540, 476, 9262, 269, 277, 2600, 563, 7712, 519, 6388, 540, 519, 21111, 10466, 543, 32285, 5516, 2920, 543, 519, 7269, 540, 27083, 547, 1346, 4171, 26038, 616, 909, 547, 476, 15946, 2600, 540, 519, 5313, 6710, 1377, 267, 519, 796, 1231, 3293, 2557, 585, 13573, 3089, 2103, 9907, 476, 1240, 547, 476, 5038, 814, 12628, 689, 476, 1839, 2600, 538, 476, 1001, 274, 547, 476, 1724, 2600, 538, 476, 1001, 276, 267, 2687, 547, 513, 2487, 17996, 2657, 12983, 15724, 269, 6271, 7690, 585, 513, 13245, 17996, 1353, 5359, 602, 5215, 540, 9241, 1202, 3293, 13573, 3089, 2103, 723, 1031, 741, 15324, 1072, 2533, 267, 1519, 5959, 2533, 267, 799, 616, 1863, 896, 1072, 6963, 563, 18744, 476, 8618, 2600, 540, 13573, 3089, 2103, 1767, 789, 1185, 1185, 513, 5959, 3643, 538, 519, 2250, 1032, 267, 799, 568, 2539, 982, 519, 3084, 3328, 540, 476, 4792, 269, 274, 2600, 269, 20677, 543, 2069, 941, 519, 6574, 7496, 547, 3478, 5959, 1416, 538, 519, 1533, 267, 609, 1152, 476, 6078, 269, 273, 2600, 540, 1346, 945, 1500, 1269, 1839, 267, 1822, 610, 1447, 7487, 513, 11290, 543, 1152, 476, 3374, 269, 278, 2600, 540, 13573, 3089, 2103, 609, 1447, 982, 513, 1164, 1153, 2069, 7487, 513, 11290, 563, 288, 2487, 1353, 593, 5711, 1072, 1336, 602, 476, 1911, 267, 1822, 811, 27083, 268, 601, 580, 1043, 13573, 3089, 2103, 3893, 606, 5711, 1072, 3028, 538, 476, 1001, 275, 982, 538, 476, 1001, 274, 267, 20872, 519, 1788, 8689, 585, 519, 1353, 547, 2161, 538, 606, 5967, 267, 834, 298, 550, 13806, 781, 1489, 585, 606, 2937, 5959, 4324, 568, 5458, 4799, 3412, 22861, 3074, 941, 8947, 998, 2185, 1114, 31331, 3800, 602, 3769, 1453, 267, 12322, 543, 4079, 563, 14454, 267, 476, 7761, 269, 274, 2600, 540, 17996, 781, 1453, 1185, 519, 5227, 3126, 540, 6689, 6375, 3074, 267, 476, 5952, 269, 276, 2600, 540, 10708, 1185, 519, 5227, 570, 323, 777, 630, 339, 564, 29104, 267, 546, 13023, 750, 807, 543, 14866, 1380, 529, 264, 31331, 267, 543, 476, 4281, 269, 273, 2600, 540, 10708, 3893, 519, 5227, 23971, 4345, 6669, 269, 2353, 540, 891, 941, 2673, 547, 519, 3084, 25939, 540, 476, 10170, 269, 277, 2600, 267, 476, 9262, 269, 277, 2600, 543, 476, 8064, 269, 274, 2600, 6606, 563, 298, 550, 13806, 267, 609, 476, 6246, 269, 280, 2600, 540, 922, 4079, 18764, 585, 519, 2770, 267, 729, 538, 519, 1283, 476, 1015, 2829, 585, 713, 2268, 282, 543, 476, 6858, 269, 278, 2600, 540, 13573, 3089, 2103, 4587, 982, 476, 4792, 4080, 1373, 18764, 585, 16415, 269, 2817, 3928, 941, 476, 2412, 269, 275, 2600, 543, 476, 6924, 269, 276, 2600, 6606, 563, 257, 309, 3147, 1149, 616, 1851, 519, 1034, 1942, 15807, 4791, 15324, 2533, 543, 835, 540, 519, 1655, 2645, 585, 7303, 11763, 3676, 2437, 3081, 519, 1867, 269, 834, 309, 3147, 5209, 723, 3366, 547, 513, 476, 4817, 2600, 6175, 538, 6669, 1790, 516, 1203, 762, 3676, 936, 519, 2063, 476, 2004, 1296, 267, 543, 2943, 966, 11520, 338, 2611, 513, 2101, 2014, 540, 772, 2529, 269, 24896, 543, 9019, 609, 5215, 540, 2665, 540, 4576, 543, 7972, 1142, 1032, 4799, 763, 5312, 2068, 6604, 7121, 729, 8947, 998, 1614, 3800, 281, 2937, 4656, 540, 1164, 1973, 2604, 267, 8501, 2638, 543, 897, 28030, 2860, 9584, 563, 257, 29587, 2068, 543, 2860, 616, 519, 1283, 1079, 3123, 540, 7972, 538, 519, 2136, 2276, 267, 8051, 585, 476, 5379, 2600, 540, 782, 7972, 538, 476, 1001, 274, 267, 834, 338, 904, 519, 1867, 269, 834, 305, 719, 710, 9584, 666, 1291, 547, 2038, 7020, 543, 2126, 540, 5312, 2068, 1981, 2188, 267, 1519, 1164, 8501, 543, 1164, 1973, 2604, 267, 4227, 2295, 2068, 543, 2860, 9019, 4799, 14454, 267, 519, 1867, 1336, 602, 476, 6507, 2600, 540, 13573, 3089, 2103, 723, 1044, 7318, 585, 8501, 538, 519, 2250, 2947, 1296, 543, 476, 6858, 2600, 540, 13573, 3089, 2103, 9907, 476, 2004, 547, 476, 10619, 723, 1185, 513, 897, 28030, 2860, 9584, 269, 13780, 958, 476, 10602, 269, 275, 723, 1185, 513, 8501, 2638, 543, 476, 5780, 269, 275, 2600, 723, 1185, 513, 897, 28030, 2860, 9584, 563, 257, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 4892, 946, 4791, 15324, 2533, 693, 3368, 519, 5227, 2557, 267, 3056, 547, 9937, 540, 6634, 540, 2043, 7508, 856, 593, 2596, 15324, 1416, 269, 12815, 1382, 689, 519, 4659, 540, 6925, 814, 849, 6059, 602, 538, 835, 1032, 267, 519, 2136, 2276, 6170, 1269, 4649, 5479, 1813, 547, 14406, 15324, 3255, 2437, 3081, 519, 1867, 269, 0, 17809, 1938, 5796, 543, 1344, 827, 1072, 543, 3106, 538, 519, 2069, 5823, 269, 12983, 7255, 609, 20194, 3106, 616, 2141, 1883, 2152, 585, 670, 10345, 779, 5398, 7896, 563, 18662, 1299, 5441, 8881, 31876, 267, 6176, 1299, 8249, 269, 3267, 1280, 811, 1344, 593, 1072, 543, 3106, 538, 1153, 1519, 4507, 267, 6703, 267, 3560, 543, 2238, 563, 30999, 1575, 1049, 3106, 543, 1072, 630, 5308, 295, 1070, 849, 4122, 5219, 547, 607, 17163, 1072, 543, 3106, 630, 302, 9391, 1070, 17163, 1072, 267, 610, 9036, 1072, 543, 3106, 630, 310, 9391, 1070, 2560, 563, 10112, 31757, 519, 3106, 540, 1426, 3267, 19938, 543, 9086, 269, 634, 3267, 634, 5253, 11621, 10837, 814, 513, 27152, 6662, 547, 2149, 1857, 1072, 543, 6800, 262, 824, 563, 391, 506, 391, 504, 391, 505, 391, 507, 391, 503, 24994, 391, 485, 476, 391, 502, 476, 391, 505, 24994, 476, 391, 507, 476, 272, 1315, 476, 280, 2657, 543, 8881, 16390, 543, 22769, 667, 310, 12839, 10469, 1132, 2657, 543, 8881, 4864, 476, 1001, 272, 9990, 630, 1607, 3561, 568, 8242, 5781, 563, 2420, 268, 279, 268, 1001, 275, 5788, 2657, 543, 3106, 3609, 3267, 30719, 3652, 11341, 547, 15629, 12862, 616, 4553, 609, 3267, 19793, 557, 513, 1164, 3044, 540, 17163, 1072, 267, 3106, 563, 299, 1987, 2218, 8881, 16390, 543, 22769, 8881, 16390, 589, 281, 16685, 10466, 634, 27706, 8881, 543, 2657, 10029, 630, 5308, 11190, 264, 6042, 630, 3066, 290, 15709, 4489, 271, 269, 15836, 264, 2560, 563, 574, 921, 13586, 519, 3427, 779, 1072, 543, 3106, 3609, 998, 519, 3267, 547, 519, 10615, 585, 519, 2359, 540, 1072, 543, 3106, 6927, 11341, 547, 519, 2238, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 568, 513, 1187, 4904, 853, 269, 4793, 9581, 4303, 4569, 3600, 6638, 1305, 269, 898, 814, 513, 2603, 540, 1930, 8694, 2326, 602, 666, 581, 1031, 1896, 1114, 2081, 269, 901, 17142, 568, 2520, 731, 2509, 840, 918, 268, 272, 560, 3446, 2157, 269, 634, 17142, 2882, 519, 1739, 912, 335, 7714, 281, 476, 273, 268, 2420, 281, 570, 839, 7406, 10203, 1319, 338, 269, 2052, 581, 1031, 585, 1840, 1035, 527, 8481, 607, 1134, 563, 17989, 269, 2537, 281, 476, 1911, 781, 15873, 4211, 870, 532, 610, 1297, 6284, 270, 31756, 563, 17989, 269, 476, 2190, 268, 1839, 281, 1284, 666, 1293, 676, 476, 276, 781, 8755, 6486, 270, 1931, 6486, 454, 17989, 269, 476, 2918, 281, 1284, 666, 4032, 676, 476, 1015, 781, 18044, 6486, 270, 1931, 6486, 454, 17989, 269, 2767, 281, 18827, 18062, 3014, 269, 5675, 1840, 5220, 454, 335, 7714, 269, 476, 2764, 268, 1789, 281, 1284, 666, 1118, 513, 4806, 269, 2422, 519, 853, 269, 4793, 9581, 1554, 6486, 547, 1118, 1114, 3270, 269, 1411, 666, 946, 519, 4806, 4161, 6656, 607, 513, 4098, 3391, 1899, 563, 1607, 568, 513, 1390, 17142, 585, 2596, 2979, 2035, 269, 594, 946, 713, 585, 1250, 2979, 7740, 543, 1250, 1362, 14560, 621, 269, 17949, 269, 0, 13981, 2859, 6168, 16010, 454, 300, 2292, 568, 3622, 513, 1883, 3364, 538, 1585, 2238, 5645, 856, 593, 1554, 547, 1554, 4493, 676, 1585, 1870, 3906, 607, 1134, 607, 676, 1114, 2043, 538, 3592, 1169, 851, 540, 519, 8608, 269, 898, 568, 1317, 540, 519, 1249, 602, 2724, 568, 519, 17830, 540, 3592, 1169, 2534, 2066, 519, 1158, 602, 8804, 814, 1044, 2919, 269, 16010, 2705, 949, 723, 1114, 10096, 2687, 547, 1114, 1004, 269, 634, 1101, 6609, 540, 8804, 2687, 547, 1034, 540, 519, 1870, 3906, 543, 11639, 568, 519, 2489, 3854, 540, 513, 1870, 607, 1134, 607, 519, 1585, 9541, 602, 519, 1870, 814, 563, 763, 2034, 6609, 540, 8804, 799, 568, 3622, 519, 1034, 1455, 6609, 2687, 547, 1034, 540, 519, 1004, 568, 602, 8804, 568, 782, 827, 2724, 269, 898, 814, 2705, 1044, 9863, 602, 8804, 2847, 6295, 1472, 2724, 3622, 9388, 609, 811, 827, 519, 4890, 2359, 543, 1852, 540, 2724, 2523, 538, 1034, 540, 519, 2883, 5238, 543, 4213, 269, 769, 519, 1576, 540, 8804, 2359, 267, 513, 2883, 9614, 568, 3622, 2838, 547, 3986, 519, 6099, 543, 1931, 569, 9740, 540, 782, 519, 1114, 3853, 610, 6859, 602, 519, 1870, 3919, 814, 998, 5009, 519, 1318, 1852, 543, 14305, 540, 519, 1585, 2883, 2200, 538, 519, 1870, 563, 2467, 616, 2705, 1079, 2101, 4485, 602, 666, 581, 1031, 547, 8804, 1022, 1826, 540, 513, 1870, 5103, 540, 922, 2883, 2115, 269, 667, 727, 540, 519, 1034, 1455, 1870, 14104, 4485, 616, 5941, 2630, 269, 12465, 1870, 14104, 1935, 568, 519, 1101, 1455, 1505, 540, 14104, 707, 3003, 1870, 563, 1103, 713, 1870, 14104, 1935, 267, 519, 8804, 9614, 786, 3622, 6318, 7482, 543, 4734, 519, 7482, 547, 824, 1870, 5411, 585, 5092, 5301, 269, 769, 713, 2013, 4061, 2073, 519, 8804, 9614, 1256, 1310, 4543, 547, 6318, 7482, 538, 519, 1870, 568, 711, 4847, 547, 7119, 538, 1022, 2186, 540, 3375, 1818, 3823, 547, 1141, 519, 7482, 616, 547, 581, 21248, 269, 1924, 548, 18318, 543, 1870, 4891, 616, 7551, 5227, 547, 946, 713, 1935, 547, 8804, 741, 4213, 563, 17457, 1870, 14104, 1935, 568, 519, 824, 1455, 1505, 540, 14104, 707, 1870, 269, 769, 519, 2413, 1870, 14104, 1935, 267, 972, 568, 513, 16994, 6268, 540, 519, 1585, 2188, 538, 519, 1870, 1354, 9870, 543, 1210, 519, 18083, 538, 1585, 5092, 2238, 269, 8779, 540, 8804, 267, 2132, 540, 8804, 267, 2557, 540, 10637, 538, 519, 4346, 607, 1134, 607, 4220, 540, 5092, 26136, 616, 930, 540, 519, 1034, 1455, 1870, 2175, 602, 616, 9916, 1354, 9870, 543, 1210, 8804, 676, 519, 1870, 563, 17457, 1870, 14104, 1935, 568, 1114, 689, 2757, 1870, 1935, 2094, 538, 519, 2413, 1935, 519, 8804, 9614, 786, 1312, 581, 3238, 538, 9870, 540, 7482, 543, 538, 519, 2883, 3375, 1818, 547, 917, 1141, 267, 950, 543, 875, 519, 7482, 616, 547, 581, 16539, 269, 769, 713, 1870, 14104, 1935, 519, 3664, 543, 3527, 2883, 9614, 616, 11461, 676, 519, 3741, 540, 2883, 5773, 269, 0, 306, 2684, 28965, 262, 32037, 519, 4622, 543, 12335, 781, 18296, 267, 1312, 2270, 519, 2596, 2609, 540, 13357, 267, 4352, 519, 12335, 534, 13357, 9450, 922, 4259, 2484, 3564, 602, 540, 519, 3504, 19967, 13357, 269, 32084, 556, 343, 729, 513, 13249, 5869, 689, 19967, 13299, 4630, 518, 5206, 827, 32037, 267, 607, 1705, 1082, 1650, 339, 25527, 540, 19967, 13299, 8683, 28965, 729, 513, 31075, 945, 2813, 7366, 540, 4249, 585, 519, 19967, 14364, 269, 20153, 28965, 781, 32037, 556, 343, 13352, 18211, 13444, 781, 17748, 540, 13357, 547, 513, 1390, 6708, 10416, 267, 18211, 13444, 11225, 513, 13357, 607, 513, 1404, 6829, 998, 6965, 602, 7475, 21379, 1952, 1176, 585, 513, 15626, 2006, 4171, 12556, 1651, 2572, 4250, 543, 533, 640, 538, 519, 5304, 32037, 556, 343, 10742, 782, 540, 891, 4170, 4628, 538, 563, 15987, 8683, 28965, 18705, 32037, 1279, 1354, 18211, 13444, 2919, 1010, 2093, 267, 32037, 13352, 18211, 13444, 781, 4214, 609, 1376, 1782, 6111, 646, 568, 519, 13249, 5869, 1612, 17284, 543, 3638, 569, 19262, 519, 2140, 607, 519, 4998, 13249, 5869, 269, 1323, 1725, 528, 529, 529, 538, 32037, 556, 343, 538, 2474, 540, 12416, 267, 8683, 28965, 262, 32037, 556, 343, 1223, 2322, 2221, 781, 12853, 1766, 553, 547, 17847, 2854, 1472, 476, 275, 3066, 27652, 267, 621, 781, 519, 1034, 4583, 13249, 1404, 538, 1686, 607, 596, 4440, 269, 32084, 556, 343, 676, 8683, 28965, 910, 4583, 585, 1010, 32037, 959, 559, 9609, 281, 32037, 556, 343, 267, 21258, 821, 267, 32333, 1869, 2270, 519, 2596, 2609, 540, 741, 563, 1103, 519, 3504, 19967, 13249, 1404, 32037, 556, 343, 676, 8683, 28965, 267, 519, 5467, 16137, 827, 519, 13249, 16950, 543, 31774, 540, 32037, 1247, 2542, 267, 646, 24172, 5956, 547, 1589, 827, 782, 540, 519, 28245, 602, 723, 849, 1185, 513, 16950, 799, 3366, 547, 513, 2101, 31774, 269, 15689, 540, 513, 13249, 5869, 1336, 538, 32037, 543, 1212, 517, 538, 8683, 28965, 781, 32037, 519, 4622, 476, 279, 7597, 1913, 23891, 476, 3066, 628, 267, 476, 1001, 279, 476, 275, 3817, 18211, 13444, 6257, 513, 13249, 5869, 607, 513, 1915, 540, 1164, 4567, 945, 2833, 513, 2887, 689, 1390, 1514, 4567, 269, 901, 1557, 568, 513, 13354, 1353, 540, 519, 1568, 540, 8683, 28965, 543, 13249, 1362, 1143, 607, 1134, 607, 12335, 543, 1714, 9626, 534, 13357, 267, 609, 14745, 21246, 958, 689, 8683, 28965, 262, 32037, 556, 343, 543, 32037, 693, 3935, 639, 267, 543, 269, 20153, 28965, 32037, 556, 343, 605, 18690, 16750, 2609, 538, 18296, 18296, 607, 513, 13249, 5869, 32037, 556, 343, 267, 513, 13249, 5869, 269, 3690, 5296, 540, 32037, 519, 4622, 281, 513, 3020, 13249, 5869, 513, 13249, 5869, 32037, 519, 4622, 18211, 13444, 1412, 338, 1898, 2609, 540, 513, 1412, 339, 4048, 545, 5869, 875, 1281, 4622, 32037, 563, 302, 20268, 556, 343, 568, 2808, 676, 1082, 547, 581, 519, 3501, 13357, 543, 607, 519, 2203, 585, 782, 32333, 5310, 519, 16999, 2601, 713, 1650, 568, 9434, 568, 519, 2856, 602, 13249, 2621, 4755, 952, 596, 1810, 269, 589, 13249, 5869, 538, 8683, 28965, 1404, 267, 32037, 519, 4622, 267, 32037, 568, 606, 1383, 540, 513, 13249, 5869, 1317, 646, 7208, 1571, 782, 540, 519, 23944, 28987, 540, 513, 13249, 5869, 607, 811, 2963, 7252, 267, 811, 543, 811, 540, 1767, 2963, 2798, 547, 32037, 262, 16203, 3693, 1948, 274, 281, 31774, 5555, 267, 513, 1352, 335, 731, 2501, 547, 519, 15816, 543, 269, 32084, 519, 4622, 630, 23950, 281, 522, 573, 760, 748, 28112, 2335, 657, 4234, 281, 32037, 556, 343, 264, 568, 513, 13357, 676, 519, 3504, 19967, 31075, 8683, 28965, 267, 1101, 5340, 538, 827, 476, 275, 3066, 536, 576, 621, 729, 519, 2034, 540, 8683, 28965, 1412, 1614, 519, 3316, 4249, 547, 581, 3812, 267, 855, 621, 2501, 1101, 538, 519, 4835, 12225, 1108, 630, 31742, 539, 676, 32037, 693, 3935, 639, 543, 1287, 21258, 821, 4586, 2304, 2079, 540, 519, 2609, 540, 13357, 538, 8683, 28965, 262, 32037, 519, 4622, 543, 28114, 25836, 781, 519, 25650, 540, 524, 2120, 8822, 540, 519, 13249, 5869, 538, 32037, 519, 4622, 676, 269, 32084, 556, 343, 676, 8683, 28965, 519, 2609, 646, 2808, 2556, 547, 29360, 689, 519, 5304, 513, 3020, 1055, 560, 720, 543, 616, 4330, 676, 513, 13249, 28034, 264, 646, 6645, 269, 634, 3670, 2609, 540, 513, 13357, 538, 32037, 556, 343, 676, 8683, 28965, 3817, 476, 273, 1913, 476, 272, 267, 30203, 2070, 2407, 1557, 811, 3594, 899, 713, 281, 8683, 28965, 267, 32037, 556, 343, 563, 16521, 689, 476, 25628, 1114, 5036, 540, 2609, 19967, 13357, 32037, 15460, 593, 28866, 630, 334, 20268, 262, 13249, 16950, 264, 18216, 1513, 529, 32037, 556, 343, 543, 2609, 540, 19967, 269, 12726, 540, 8683, 28965, 781, 32037, 556, 343, 1557, 630, 9767, 666, 849, 1931, 2688, 2854, 8683, 28965, 781, 32037, 556, 343, 1557, 264, 476, 3192, 275, 264, 10472, 1957, 13290, 547, 4983, 519, 3693, 540, 12556, 538, 269, 18140, 540, 32037, 556, 343, 568, 513, 1655, 13249, 4729, 2687, 547, 18211, 13444, 1533, 6280, 2046, 8683, 28965, 262, 32037, 556, 343, 1098, 676, 476, 1014, 14646, 8725, 540, 642, 24860, 269, 0, 3725, 6665, 1746, 543, 1620, 519, 968, 6549, 850, 334, 26035, 892, 543, 899, 1022, 19967, 13357, 922, 5869, 779, 20924, 267, 1010, 13398, 5142, 267, 616, 513, 1883, 851, 540, 1010, 5821, 11331, 7523, 850, 334, 729, 4636, 519, 5939, 729, 1547, 10749, 543, 9880, 593, 7523, 850, 334, 7523, 850, 328, 910, 2565, 3594, 538, 476, 1960, 273, 267, 519, 533, 2632, 604, 673, 14643, 585, 2528, 5342, 513, 2689, 540, 519, 18659, 540, 519, 4583, 5939, 4693, 540, 7523, 850, 334, 538, 513, 4633, 1547, 5808, 729, 7523, 850, 334, 1934, 621, 568, 538, 513, 2428, 9917, 961, 281, 7523, 850, 334, 7523, 850, 328, 729, 606, 621, 6501, 21997, 267, 22301, 267, 31485, 543, 14544, 267, 543, 835, 540, 519, 23806, 540, 555, 269, 898, 2306, 2631, 602, 7523, 850, 334, 568, 2141, 519, 979, 547, 18560, 585, 519, 4984, 642, 2257, 1004, 2094, 1183, 16980, 267, 519, 18560, 945, 6368, 2322, 782, 519, 4773, 1927, 267, 729, 1312, 513, 4583, 4230, 6331, 518, 543, 513, 1821, 719, 32053, 534, 563, 29727, 850, 334, 5206, 519, 4484, 547, 519, 6264, 546, 31866, 1087, 13171, 2088, 1310, 6217, 1200, 9880, 2509, 519, 927, 328, 12510, 878, 3069, 609, 519, 13922, 602, 646, 1223, 2491, 1946, 519, 18216, 4301, 5939, 1058, 711, 18149, 333, 519, 2941, 1716, 16307, 269, 15012, 1631, 2845, 538, 1753, 3332, 3594, 7523, 850, 334, 7523, 850, 334, 3594, 5939, 642, 5869, 281, 1058, 2901, 3094, 556, 2041, 27204, 1207, 660, 532, 7523, 850, 334, 269, 1496, 514, 519, 1739, 1557, 267, 1101, 4843, 607, 513, 4633, 538, 476, 3192, 280, 543, 1065, 11781, 539, 538, 476, 2735, 278, 267, 28831, 14646, 533, 4954, 13797, 9333, 1389, 547, 31363, 519, 5784, 540, 519, 18216, 4301, 5939, 609, 1346, 540, 7523, 850, 334, 267, 19163, 602, 4586, 763, 4605, 540, 513, 1272, 7146, 11546, 987, 6370, 1063, 513, 4625, 7522, 16490, 22344, 5939, 543, 606, 19782, 1190, 543, 2141, 6662, 2067, 2257, 538, 519, 7523, 850, 334, 26035, 5673, 593, 1932, 1082, 17691, 269, 31595, 543, 519, 5939, 281, 621, 729, 827, 2257, 267, 711, 5132, 621, 568, 4922, 7608, 1851, 2482, 1004, 602, 519, 19005, 18216, 4301, 5939, 29802, 7523, 850, 334, 607, 513, 1934, 6776, 519, 5168, 568, 602, 646, 729, 711, 16876, 547, 7890, 855, 2864, 547, 2777, 10654, 267, 543, 1010, 646, 637, 344, 729, 547, 4161, 519, 7608, 3621, 5784, 540, 519, 5939, 267, 711, 519, 26117, 540, 27403, 269, 634, 1670, 7526, 1063, 7523, 850, 334, 519, 4655, 1063, 7523, 850, 334, 543, 519, 18216, 4301, 5939, 568, 8197, 3909, 543, 24396, 538, 9759, 6394, 4574, 540, 1547, 4828, 1948, 275, 7523, 850, 334, 543, 24890, 1813, 476, 1015, 270, 278, 270, 1428, 693, 476, 1556, 281, 6795, 10975, 1058, 519, 18216, 4301, 5939, 723, 18594, 1819, 2326, 7282, 519, 927, 328, 12510, 878, 30723, 538, 519, 476, 1626, 555 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1271, 2671, 538, 519, 2038, 1646, 540, 519, 631, 880, 333, 1695, 630, 1805, 571, 1188, 267, 6032, 269, 476, 866, 267, 476, 8660, 5148, 543, 267, 538, 519, 10655, 540, 1570, 267, 646, 729, 4553, 16113, 676, 519, 1153, 540, 1772, 8676, 601, 630, 12671, 476, 9873, 268, 8182, 589, 6185, 13776, 799, 814, 2451, 922, 1665, 2390, 519, 2038, 10300, 752, 545, 11068, 337, 1662, 574, 630, 5408, 11068, 337, 1662, 267, 19926, 476, 276, 267, 1775, 268, 274, 1916, 17798, 14340, 11068, 337, 1662, 267, 1163, 3789, 267, 689, 29593, 1662, 547, 834, 514, 4034, 580, 622, 257, 513, 7097, 1116, 8574, 563, 8170, 713, 10300, 12112, 545, 11068, 337, 1662, 649, 4865, 602, 593, 31519, 267, 1572, 631, 2131, 327, 2830, 320, 267, 602, 593, 2274, 10903, 16307, 267, 1572, 590, 604, 571, 267, 543, 602, 593, 10606, 543, 1546, 17458, 16860, 267, 1572, 590, 604, 516, 269, 0, 25583, 476, 272, 281, 3590, 12745, 6516, 454, 25583, 476, 273, 281, 29597, 518, 6516, 454, 25583, 476, 274, 281, 3281, 9426, 6516, 454, 25583, 476, 275, 281, 8943, 6516, 454, 21902, 23721, 6516, 1923, 25674, 6516, 1923, 1546, 7877, 6516, 454, 288, 6422, 6516, 666, 581, 3730, 950, 596, 1616, 547, 1397, 875, 2609, 538, 513, 11979, 2203, 12840, 693, 678, 29025, 547, 2936, 513, 3593, 1650, 267, 946, 2013, 267, 4183, 267, 3092, 269, 901, 6422, 6516, 568, 1759, 2390, 513, 772, 7876, 2792, 6516, 630, 2181, 16227, 1634, 607, 513, 834, 308, 7876, 5698, 6516, 20257, 898, 568, 2147, 547, 513, 772, 7876, 5311, 6516, 4352, 621, 2636, 513, 1863, 27322, 11460, 540, 6516, 2609, 609, 22921, 4205, 547, 5815, 19280, 563, 9928, 2100, 281, 1323, 13055, 267, 3301, 1062, 610, 8708, 563, 27650, 543, 5885, 2609, 281, 3493, 1742, 593, 519, 6516, 9165, 282, 13055, 630, 5408, 3590, 23721, 6516, 1070, 3301, 1062, 630, 5408, 3590, 12745, 610, 29597, 518, 12222, 1070, 8708, 630, 5408, 3281, 9426, 6516, 1916, 4504, 2105, 5304, 281, 14502, 543, 1875, 14482, 1013, 673, 1004, 267, 3330, 543, 3544, 540, 519, 3301, 1646, 2319, 563, 1607, 568, 606, 1383, 6422, 6516, 267, 6029, 875, 519, 834, 338, 793, 538, 257, 4183, 1522, 960, 269, 634, 4205, 666, 581, 19347, 267, 543, 519, 16181, 616, 607, 5205, 912, 268, 5153, 18807, 563, 268, 7591, 14318, 563, 268, 17547, 14318, 563, 268, 5153, 4464, 269, 0, 14187, 3207, 25242, 519, 1379, 540, 10074, 281, 1353, 454, 2108, 14187, 3207, 711, 1152, 7586, 5809, 855, 949, 849, 8831, 519, 8653, 540, 4027, 540, 519, 6669, 4799, 3528, 2717, 2353, 532, 5069, 3842, 17335, 10064, 454, 14187, 3207, 25242, 519, 1379, 540, 10074, 267, 5267, 513, 1007, 1353, 563, 14722, 4126, 519, 4681, 786, 2709, 1004, 930, 1852, 936, 741, 12046, 563, 10144, 3478, 1447, 982, 3670, 3108, 540, 3207, 513, 3781, 3132, 3648, 7864, 12489, 982, 1346, 945, 9219, 936, 5722, 563, 763, 17211, 538, 519, 4761, 3210, 568, 519, 6697, 540, 12489, 530, 22135, 1310, 1079, 3275, 267, 2687, 547, 3173, 689, 519, 2160, 540, 9628, 543, 3943, 2817, 4659, 540, 2657, 563, 24464, 9846, 5185, 519, 4539, 540, 4057, 3207, 267, 855, 922, 1764, 593, 2021, 9867, 269, 12824, 2322, 713, 1524, 547, 4775, 3023, 10399, 11385, 908, 563, 25938, 1640, 2278, 18832, 11709, 595, 2246, 518, 267, 7548, 900, 518, 7978, 693, 519, 2160, 540, 9628, 267, 1767, 281, 968, 14187, 3207, 711, 1152, 7586, 5809, 855, 949, 849, 8831, 519, 8653, 540, 4027, 540, 519, 6669, 4799, 2108, 2691, 596, 1294, 519, 13260, 538, 519, 4027, 3177, 676, 519, 5046, 268, 866, 10074, 1765, 15161, 609, 840, 25365, 2175, 616, 1447, 6870, 267, 2367, 616, 1447, 6870, 982, 2021, 267, 543, 17324, 1004, 616, 1447, 6870, 982, 1004, 945, 1810, 1405, 723, 8377, 563, 2108, 17829, 616, 782, 2188, 602, 606, 1367, 1268, 814, 1100, 1852, 936, 267, 855, 596, 666, 12189, 707, 3207, 4799, 303, 3233, 3207, 18604, 519, 12489, 538, 4079, 9907, 476, 1240, 547, 476, 2568, 811, 982, 936, 268, 4792, 338, 563, 12867, 941, 5667, 584, 1440, 2213, 676, 713, 1317, 4587, 4079, 3622, 3207, 1447, 19037, 267, 2495, 972, 568, 1447, 540, 606, 1764, 593, 12489, 563, 24342, 7000, 519, 1482, 4806, 950, 3207, 729, 6027, 609, 5163, 1673, 25018, 532, 21015, 342, 520, 2583, 267, 538, 3207, 22475, 267, 543, 676, 1582, 3146, 19959, 20241, 563, 763, 1198, 729, 811, 8101, 538, 2090, 1210, 6662, 3800, 540, 3207, 269, 12207, 3773, 713, 729, 2693, 1317, 5171, 616, 968, 2254, 528, 13124, 3983, 892, 693, 21501, 519, 2179, 540, 9505, 31378, 789, 1205, 563, 2690, 519, 1353, 267, 519, 2319, 556, 12845, 3315, 7458, 543, 24298, 5722, 13753, 883, 10194, 5563, 14798, 543, 17537, 589, 543, 645, 563, 5445, 3379, 519, 17193, 3210, 585, 1346, 945, 11739, 696, 513, 968, 7538, 892, 2179, 267, 1063, 5722, 543, 8370, 3108, 267, 609, 968, 26211, 3207, 619, 892, 945, 7307, 896, 3670, 563, 11795, 3720, 1063, 896, 543, 936, 268, 4792, 338, 267, 543, 1063, 25469, 267, 941, 12290, 538, 519, 7351, 10334, 1353, 563, 22117, 2278, 3220, 269, 10127, 710, 1975, 20672, 601, 267, 3943, 2817, 4659, 540, 2657, 543, 6925, 267, 1767, 281, 968, 2171, 917, 689, 6375, 1108, 2090, 602, 3023, 10399, 3310, 519, 4761, 1062, 563, 24685, 2021, 267, 12046, 568, 6766, 676, 519, 1533, 540, 519, 18492, 4783, 267, 519, 946, 540, 15333, 1061, 1161, 267, 543, 676, 22797, 543, 2022, 2173, 523, 641, 30167, 4567, 267, 855, 19890, 267, 9039, 540, 519, 2090, 602, 649, 9034, 1047, 1185, 1022, 1239, 827, 3023, 9449, 2157, 563, 14071, 991, 547, 1174, 519, 3023, 3604, 267, 799, 2395, 1472, 519, 942, 540, 12674, 616, 1034, 1271, 267, 543, 4010, 875, 1454, 3207, 568, 2877, 865, 602, 649, 666, 2285, 5583, 547, 1004, 2676, 14071, 616, 2469, 547, 581, 3945, 3215, 6634, 543, 6634, 540, 1004, 538, 519, 1985, 1906, 1296, 267, 543, 713, 568, 606, 2460, 602, 666, 948, 11694, 4027, 3034, 1805, 1559, 543, 1102, 16623, 676, 2048, 307, 1779, 518, 3194, 685, 616, 2139, 547, 4647, 1299, 4712, 547, 946, 269, 12267, 543, 7044, 676, 2048, 307, 1779, 518, 5240, 685, 616, 7307, 676, 17335, 10064, 269, 1677, 12689, 1543, 585, 21107, 610, 5010, 946, 543, 547, 1294, 519, 2407, 9165, 540, 17335, 10064, 1543, 267, 5225, 4757, 1496, 16942, 6870, 316, 610, 10505, 606, 14374, 3842, 938, 3346, 1106, 563, 25911, 2280, 4116, 973, 805, 525, 11599, 7544, 13467, 689, 9413, 454, 14881, 4126, 547, 8300, 930, 16921, 547, 7544, 4799, 17471, 2551, 1223, 8445, 2630, 476, 280, 5479, 1369, 476, 1789, 1296, 454, 763, 2079, 3096, 476, 1015, 1158, 4525, 971, 607, 4427, 25781, 4000, 267, 3624, 543, 519, 2136, 2276, 563, 31306, 10074, 1223, 581, 9447, 676, 513, 9543, 25858, 540, 2011, 454, 14722, 2161, 519, 4915, 1373, 14593, 998, 519, 2960, 267, 609, 1175, 513, 2370, 2604, 267, 7959, 899, 1373, 834, 327, 527, 609, 513, 2483, 27409, 22326, 593, 9267, 22756, 1223, 948, 2061, 2295, 2068, 454, 25205, 26210, 2068, 568, 519, 1158, 781, 1297, 835, 20740, 1107, 19101, 1472, 476, 1240, 2929, 2729, 513, 1032, 563, 25603, 519, 555, 709, 921, 945, 4126, 547, 19533, 1142, 824, 835, 1554, 454, 257, 5472, 540, 721, 1616, 547, 1205, 9310, 267, 855, 649, 1810, 1405, 723, 513, 15415, 585, 602, 2943, 4799, 268, 4518, 275, 2395, 3516, 454, 1432, 616, 519, 1283, 9441, 2640, 538, 476, 1708, 274, 888, 268, 623, 1115, 277, 2395, 3516, 454, 295, 2788, 540, 4620, 5411, 2015, 3478, 513, 31024, 540, 741, 24566, 2828, 281, 3542, 454, 268, 2657, 274, 2395, 3516, 454, 18131, 7866, 4128, 1946, 789, 1810, 1406, 3635, 2614, 454, 268, 22960, 1299, 25925, 272, 3018, 3516, 454, 290, 1245, 4365, 814, 2101, 1764, 593, 2021, 779, 6015, 543, 7099, 281, 3542, 454, 268, 5253, 1299, 27276, 272, 3018, 3516, 454, 3963, 568, 16475, 12129, 693, 1753, 811, 17173, 982, 20414, 513, 8184, 888, 268, 27999, 276, 2395, 3516, 454, 25938, 1640, 3893, 18903, 19375, 2389, 1335, 539, 14512, 5428, 585, 1200, 2063, 554, 3233, 1695, 454, 268, 12292, 276, 2395, 3516, 454, 288, 20624, 814, 4362, 1776, 9649, 17178, 454, 268, 8693, 7827, 277, 2395, 3516, 454, 1692, 4892, 616, 2921, 3268, 4724, 4742, 811, 4264, 0, 13349, 2010, 540, 20151, 538, 3345, 10491, 1975, 11107, 454, 306, 3671, 619, 616, 711, 7786, 855, 2864, 27442, 1013, 1749, 269, 1358, 782, 723, 5216, 7953, 267, 1079, 1560, 4525, 267, 543, 2789, 8424, 540, 4064, 269, 1358, 798, 711, 723, 12209, 267, 13494, 333, 2801, 267, 610, 21400, 5023, 30672, 269, 2755, 972, 616, 9937, 540, 5215, 540, 20151, 1336, 2429, 519, 1158, 267, 972, 616, 1152, 513, 19625, 602, 616, 2808, 1455, 547, 3345, 10491, 563, 14937, 654, 573, 578, 1975, 11107, 454, 4322, 9006, 10535, 20151, 616, 3362, 25992, 676, 519, 2699, 5662, 6921, 817, 6438, 1665, 593, 519, 9207, 728, 540, 741, 705, 3256, 839, 269, 4563, 538, 2681, 267, 891, 27442, 1013, 1749, 849, 2408, 609, 14402, 2699, 610, 3043, 9634, 593, 519, 705, 3256, 839, 543, 19758, 563, 16178, 4563, 654, 573, 578, 1975, 11107, 454, 2026, 741, 2012, 5267, 891, 20151, 5654, 1360, 2147, 547, 1483, 3109, 30612, 20151, 267, 855, 789, 3668, 519, 10058, 5662, 6921, 817, 6438, 24795, 563, 4322, 20027, 20151, 616, 16009, 610, 5835, 538, 7801, 543, 723, 5393, 1279, 7953, 543, 705, 3256, 839, 602, 616, 20425, 538, 3337, 543, 3476, 982, 789, 616, 9962, 563, 31342, 1234, 743, 2224, 1975, 11107, 454, 5194, 9006, 10535, 17178, 267, 519, 6960, 556, 743, 2224, 568, 1634, 585, 922, 30413, 11057, 24795, 543, 6960, 7801, 563, 294, 5050, 5600, 1975, 11107, 454, 29209, 538, 2450, 267, 519, 2937, 5256, 9649, 2777, 17178, 666, 723, 513, 2185, 20878, 1850, 12732, 543, 519, 4775, 909, 547, 1079, 6279, 269, 4256, 7801, 9775, 267, 1419, 4158, 10538, 267, 6960, 267, 610, 581, 15607, 563, 7775, 321, 1284, 11232, 1975, 11107, 454, 1607, 1826, 540, 17178, 9775, 538, 2450, 543, 7801, 267, 1818, 873, 2182, 547, 10646, 689, 824, 20151, 269, 1358, 798, 723, 4552, 344, 610, 838, 4176, 7953, 543, 616, 1634, 585, 519, 18700, 8868, 11057, 3103, 789, 4020, 563, 312, 3641, 15762, 1975, 11107, 454, 288, 4130, 2249, 609, 1279, 6094, 7953, 267, 5485, 20151, 616, 3335, 12779, 581, 15607, 547, 5835, 538, 2681, 282, 789, 949, 849, 723, 513, 3039, 512, 16636, 563, 291, 1046, 538, 2681, 267, 18896, 20151, 723, 588, 719, 4703, 4988, 538, 4552, 543, 1279, 267, 838, 4176, 7953, 269, 1358, 798, 711, 1711, 3103, 855, 2864, 6968, 1524, 741, 10352, 563, 6701, 20151, 5906, 888, 15371, 610, 711, 513, 17178, 568, 5906, 5673, 593, 519, 2249, 269, 769, 3345, 10491, 267, 1312, 9006, 10535, 543, 562, 7572, 766, 20151, 616, 1459, 269, 645, 2572, 689, 9006, 10535, 20151, 666, 581, 5906, 543, 2014, 3978, 1072, 2042, 563, 7617, 20151, 616, 9006, 10535, 888, 309, 523, 10535, 20151, 538, 3345, 10491, 1331, 519, 3109, 30612, 267, 6960, 556, 743, 2224, 267, 7301, 3109, 30612, 267, 543, 5835, 5485, 17178, 269, 589, 3109, 30612, 17178, 11116, 568, 711, 3335, 1272, 17116, 855, 519, 2589, 2154, 2564, 3007, 269, 589, 6960, 556, 743, 2224, 17178, 11116, 666, 2014, 519, 2960, 1472, 519, 11116, 547, 22377, 622, 269, 23046, 949, 1491, 4374, 610, 3275, 543, 519, 10138, 568, 12155, 547, 3968, 543, 1085, 18732, 269, 5221, 540, 519, 2589, 543, 3978, 1072, 4539, 267, 1346, 3787, 676, 513, 6960, 556, 743, 2224, 1058, 3343, 2564, 2126, 1318, 2476, 269, 589, 11116, 689, 513, 7301, 3109, 30612, 949, 3132, 513, 2147, 3210, 607, 519, 3020, 3109, 30612, 267, 1152, 1447, 4049, 269, 14117, 5485, 17178, 17486, 1745, 2147, 547, 602, 540, 513, 13520, 29097, 543, 519, 2589, 616, 1454, 1447, 4049, 982, 602, 540, 513, 6960, 556, 743, 2224, 17178, 11116, 563, 1432, 3123, 17178, 2042, 888, 306, 3671, 619, 616, 1034, 1419, 1336, 2713, 3544, 538, 4025, 602, 1331, 10651, 267, 10053, 30120, 267, 3574, 335, 3796, 267, 7381, 21823, 267, 18284, 540, 22890, 543, 6978, 16445, 267, 543, 1063, 7725, 543, 10007, 269, 1358, 616, 849, 4122, 1336, 2713, 538, 856, 28265, 902, 899, 24259, 267, 3046, 985, 267, 543, 6095, 1137, 269, 1975, 11107, 4283, 5321, 543, 5656, 1247, 10478, 585, 10352, 610, 538, 519, 21617, 3275, 1247, 3168, 585, 513, 1747, 1141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1587, 2154, 602, 621, 666, 1152, 581, 25855, 547, 18353, 1369, 519, 2136, 2276, 563, 27916, 2774, 687, 593, 713, 1587, 602, 10238, 527, 11288, 547, 519, 1739, 2829, 281, 31254, 563, 1607, 1587, 568, 4988, 896, 938, 14970, 27336, 2526, 2871, 5875, 2465, 269, 1403, 707, 5521, 270, 534, 2711, 1281, 711, 12446, 538, 1434, 1072, 267, 649, 3513, 1118, 621, 1318, 267, 3177, 519, 1739, 7355, 616, 1558, 912, 2791, 3513, 581, 711, 1881, 1282, 519, 2638, 719, 1184, 952, 707, 6718, 4018, 5809, 585, 938, 10018, 563, 271, 269, 271, 856, 540, 476, 276, 6801, 454, 276, 5182, 8039, 454, 275, 5182, 8039, 454, 274, 5182, 8039, 454, 273, 5182, 8039, 454, 272, 5182, 8039, 0, 2467, 616, 930, 2010, 540, 5388, 602, 596, 786, 581, 1360, 5432, 609, 563, 28830, 971, 607, 17436, 267, 22282, 267, 543, 28471, 31884, 616, 5388, 602, 596, 949, 3548, 1169, 2582, 1554, 563, 4913, 267, 972, 616, 824, 2010, 540, 5388, 602, 596, 949, 2760, 723, 6836, 267, 610, 1256, 4862, 540, 563, 299, 2465, 802, 616, 835, 540, 873, 563, 299, 2465, 802, 616, 513, 10448, 602, 596, 949, 581, 1447, 5432, 609, 267, 3274, 1317, 789, 5749, 1406, 13881, 607, 1419, 607, 824, 2010, 540, 5388, 563, 19853, 2189, 5920, 666, 4734, 930, 1004, 18516, 540, 875, 547, 3434, 891, 5388, 267, 855, 2899, 596, 917, 1018, 596, 616, 3257, 267, 596, 3580, 581, 11235, 547, 1331, 682, 4060, 538, 6266, 540, 1114, 8286, 563, 1103, 713, 3391, 267, 649, 2461, 2921, 513, 1413, 693, 1018, 682, 4060, 616, 267, 543, 875, 547, 3548, 873, 563, 3383, 267, 952, 596, 1616, 547, 1265, 856, 811, 267, 1832, 593, 2542, 2336, 1432, 1772, 589, 2274, 2131, 888, 5575, 1919, 1101, 267, 1577, 779, 1491, 513, 1413, 693, 1018, 513, 682, 2131, 568, 563, 2026, 649, 723, 3964, 267, 513, 682, 2131, 568, 513, 1826, 540, 10448, 563, 1607, 10448, 568, 851, 540, 519, 3376, 29566, 1920, 540, 5388, 267, 543, 1152, 513, 1978, 851, 540, 519, 682, 2131, 568, 5078, 585, 4616, 563, 299, 2465, 802, 723, 513, 1360, 2189, 5920, 563, 763, 6565, 540, 519, 2030, 568, 3043, 267, 543, 713, 6565, 568, 7923, 547, 513, 22753, 540, 3039, 6978, 1352, 2378, 338, 563, 763, 4158, 3039, 3296, 540, 519, 2030, 3112, 581, 13881, 269, 5502, 267, 596, 1058, 1152, 3548, 519, 3043, 543, 1769, 3039, 2694, 540, 713, 2030, 563, 1607, 1281, 1611, 602, 519, 2030, 814, 547, 979, 998, 3833, 513, 2603, 540, 7041, 1354, 621, 666, 581, 13881, 563, 1103, 2474, 540, 5388, 602, 616, 2147, 547, 682, 4060, 267, 621, 568, 2352, 547, 1265, 5388, 602, 616, 2147, 547, 713, 2189, 10448, 563, 4913, 267, 930, 540, 519, 1034, 2147, 5388, 1331, 4927, 1824, 267, 1085, 718, 687, 267, 669, 1161, 267, 19637, 267, 543, 13342, 563, 3383, 649, 917, 1018, 513, 682, 2131, 5654, 899, 267, 543, 1018, 2127, 540, 519, 682, 2131, 666, 581, 10057, 563, 3719, 1018, 827, 519, 8137, 540, 513, 682, 2131, 888, 4415, 602, 538, 2247, 267, 1577, 779, 1491, 513, 1413, 693, 930, 540, 519, 1114, 10366, 540, 519, 682, 2131, 563, 1432, 6496, 589, 2274, 2131, 570, 4292, 540, 888, 2691, 596, 1101, 1413, 693, 519, 3762, 540, 513, 682, 2131, 267, 621, 568, 2653, 547, 8263, 602, 891, 5388, 786, 723, 606, 3618, 344, 8137, 547, 873, 563, 2791, 949, 2503, 682, 4060, 547, 581, 3833, 1025, 663, 538, 2474, 540, 8137, 267, 855, 713, 7948, 1406, 581, 2417, 689, 519, 5168, 269, 769, 1249, 267, 682, 4060, 616, 2965, 3833, 29316, 563, 2026, 649, 723, 3964, 267, 682, 4060, 616, 851, 540, 519, 1482, 1920, 607, 13342, 543, 19637, 267, 543, 891, 616, 1312, 11212, 29316, 5388, 563, 3383, 267, 621, 2306, 2631, 602, 682, 4060, 616, 7168, 29316, 1932, 563, 299, 2465, 802, 6492, 1360, 2147, 547, 13342, 543, 19637, 267, 543, 602, 568, 1946, 621, 568, 513, 1390, 2856, 547, 1039, 873, 547, 8286, 585, 3606, 8137, 563, 299, 2465, 802, 616, 1390, 547, 946, 538, 5986, 950, 596, 616, 1818, 10346, 602, 2154, 1945, 547, 1039, 3178, 547, 519, 8137, 563, 5445, 723, 513, 6653, 267, 22323, 6438, 8137, 602, 568, 11207, 2189, 543, 2731, 2027, 563, 29128, 596, 2119, 513, 682, 2131, 267, 596, 786, 2760, 581, 2111, 547, 4628, 5660, 1175, 875, 1390, 891, 5388, 6492, 563, 763, 3178, 602, 891, 5388, 666, 3142, 547, 10346, 568, 519, 1292, 2601, 1946, 1082, 1004, 1331, 873, 538, 27130, 267, 12403, 338, 267, 543, 18437, 8286, 563, 5445, 3142, 513, 2189, 8137, 547, 519, 8670, 543, 1118, 519, 2949, 6492, 1995, 1454, 1732, 563, 3383, 267, 952, 596, 10093, 1406, 11273, 609, 682, 4060, 2943, 267, 596, 2731, 1058, 2015, 621, 2336, 6701, 2274, 4060, 6145, 2201, 687, 888, 8133, 267, 682, 4060, 616, 1360, 2147, 547, 19637, 563, 13828, 540, 891, 5388, 4866, 547, 519, 782, 1756, 12593, 543, 713, 1797, 602, 789, 616, 1360, 2147, 538, 2474, 540, 8137, 543, 11007, 563, 2691, 596, 1101, 1294, 513, 682, 2131, 267, 596, 949, 6560, 547, 1294, 875, 789, 616, 2147, 547, 19637, 563, 4913, 267, 2899, 596, 1376, 5969, 2476, 519, 3762, 540, 519, 682, 2131, 267, 621, 786, 3533, 1831, 7805, 563, 5629, 22872, 909, 267, 682, 4060, 616, 1360, 2147, 547, 19637, 267, 855, 789, 616, 1114, 2614, 547, 17854, 1210, 1312, 5388, 538, 930, 10346, 563, 2252, 596, 616, 1031, 547, 8600, 543, 5986, 19637, 267, 1287, 8600, 543, 5986, 682, 4060, 786, 581, 513, 30089, 563, 5629, 596, 723, 2944, 621, 2899, 267, 596, 3580, 581, 2111, 547, 798, 621, 942, 543, 942, 1586, 609, 1100, 1966, 693, 782, 563, 1432, 3487, 2986, 589, 2274, 2131, 1684, 1411, 16202, 888, 12024, 782, 5388, 267, 972, 616, 2694, 540, 519, 682, 2131, 602, 596, 12582, 1406, 3548, 563, 2691, 596, 4444, 513, 682, 2131, 267, 596, 949, 581, 2322, 1055, 676, 513, 1804, 2179, 540, 729, 5653, 2404, 609, 713, 10448, 267, 543, 602, 568, 1317, 596, 3112, 3548, 519, 4158, 3039, 851, 540, 519, 682, 2131, 563, 2791, 666, 1152, 3548, 519, 3043, 6565, 543, 1769, 3039, 3296, 540, 713, 2030, 563, 2691, 596, 6718, 513, 682, 2131, 547, 5965, 267, 1287, 513, 1804, 2179, 540, 519, 10448, 786, 581, 519, 4158, 3039, 3762, 563, 2414, 3548, 519, 682, 2131, 267, 596, 786, 991, 547, 2759, 519, 1352, 2378, 540, 3762, 2476, 689, 519, 3043, 6565, 543, 1167, 731, 519, 3762, 269, 4495, 596, 798, 713, 267, 596, 786, 581, 2111, 547, 1294, 1175, 875, 2147, 519, 682, 2131, 568, 547, 606, 22323, 563, 20007, 1227, 267, 596, 666, 3548, 519, 4158, 3039, 851, 540, 519, 682, 2131, 563, 3719, 621, 568, 11212, 9157, 267, 799, 568, 1946, 1034, 1004, 1152, 3548, 621, 950, 1210, 621, 547, 1118, 513, 10448, 26185, 563, 4913, 267, 1034, 540, 519, 942, 267, 519, 4158, 3039, 3296, 540, 713, 2030, 786, 3274, 581, 16207, 538, 519, 17885, 563, 1692, 1684, 1411, 16202, 2274, 4060, 888, 2467, 616, 9748, 540, 1114, 2081, 547, 3548, 682, 4060, 563, 2791, 666, 3548, 873, 593, 741, 1378, 607, 513, 17705, 15165, 267, 855, 1034, 540, 519, 942, 267, 1004, 786, 946, 873, 607, 606, 12146, 538, 1776, 8670, 563, 8867, 2131, 666, 581, 1031, 547, 1118, 513, 8949, 17339, 563, 12024, 3772, 267, 621, 666, 581, 3773, 547, 513, 18437, 8670, 547, 3142, 1390, 3178, 547, 519, 8137, 540, 519, 7594, 563, 2791, 949, 3442, 547, 1402, 621, 538, 513, 1567, 582, 1729, 267, 610, 3274, 3548, 621, 593, 513, 16741, 563, 2467, 616, 9748, 540, 1114, 2081, 547, 3548, 682, 4060, 267, 543, 602, 568, 1018, 2306, 873, 971, 1390, 5388, 563, 1103, 2110, 267, 682, 4060, 616, 851, 540, 519, 1482, 10448, 1920, 607, 19637, 543, 13342, 563, 8601, 741, 2189, 5920, 267, 789, 723, 513, 6653, 22323, 6438, 8137, 543, 666, 581, 1031, 547, 1118, 6266, 540, 1114, 8286, 563, 14188, 596, 585, 2542, 2336, 268, 476, 273, 26486, 5667, 531, 1540, 7423, 454, 268, 476, 273, 682, 4060, 3043, 543, 1769, 3039, 2694, 1152, 267, 6094, 569, 30000, 454, 268, 476, 274, 804, 7174, 13342, 1295, 1027, 454, 268, 476, 273, 6550, 12277, 22019, 539, 543, 546, 5367, 454, 268, 476, 275, 11680, 1970, 1606, 18754, 9269, 454, 268, 476, 272, 15922, 6978, 454, 268, 476, 272, 23188, 6070, 454, 268, 476, 272, 270, 275, 23188, 14723, 454, 268, 476, 272, 270, 273, 7484, 5144, 454, 268, 631, 3881, 519, 7423, 538, 513, 1804, 1494, 936, 5420, 3002, 269, 5410, 519, 30000, 682, 4060, 543, 13342, 267, 543, 3434, 2394, 21352, 539, 267, 28817, 12212, 267, 827, 476, 276, 3764, 563, 268, 5410, 519, 546, 5367, 12277, 267, 9269, 610, 10448, 26185, 267, 15922, 6978, 267, 6070, 267, 543, 3109, 14723, 547, 519, 1494, 269, 20780, 519, 7848, 547, 513, 31652, 267, 1287, 2569, 519, 3002, 547, 1970, 543, 3382, 519, 1494, 563, 268, 13648, 519, 17339, 2394, 519, 12277, 616, 13035, 267, 827, 476, 1428, 547, 476, 736, 3764, 563, 268, 17179, 519, 15922, 6978, 543, 1167, 731, 621, 269, 2422, 606, 21599, 1025, 2658, 547, 1625, 19902, 519, 17339, 2394, 621, 568, 5347, 543, 27598, 269, 17968, 267, 596, 666, 4483, 519, 17339, 538, 10627, 2583, 547, 513, 1025, 2658, 543, 11100, 2394, 5347, 267, 1287, 2132, 621, 547, 519, 1494, 563, 268, 1403, 519, 17339, 568, 1932, 5394, 267, 596, 666, 1039, 5144, 547, 6094, 621, 856, 547, 707, 5551, 11007, 269, 17797, 519, 4005, 532, 609, 811, 6070, 543, 14723, 267, 952, 2877, 563, 268, 31160, 519, 17339, 3905, 609, 12933, 344, 3694, 610, 11523, 619, 563, 268, 17949, 707, 8949, 543, 4313, 532, 12826, 540, 8000, 6737, 2274, 2131, 590, 19281, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13739, 3842, 9682, 543, 519, 5680, 1282, 9397, 1063, 519, 15872, 269, 2991, 519, 15872, 616, 11943, 267, 713, 593, 21935, 8858, 786, 3136, 547, 2291, 538, 513, 5691, 3898, 593, 519, 5680, 3135, 563, 2419, 14128, 2290, 17583, 630, 845, 28861, 519, 15858, 19305, 264, 786, 6450, 5802, 4751, 519, 1101, 1079, 31054, 700, 624, 999, 593, 3967, 269, 476, 1724, 267, 476, 1960, 280, 267, 543, 519, 2034, 1079, 15872, 519, 1739, 1554, 269, 1677, 1711, 513, 3095, 547, 519, 5680, 3135, 610, 547, 3489, 3606, 1344, 267, 3643, 519, 4964, 14173, 2985, 693, 8940, 269, 3128, 6118, 937, 999, 3820, 17320, 7847, 270, 937, 999, 9706, 816, 18145, 270, 563, 295, 295, 11085, 568, 513, 2564, 1382, 3919, 4171, 3744, 1331, 1082, 540, 519, 1158, 779, 3401, 538, 519, 4610, 540, 1591, 7350, 267, 11976, 267, 6375, 1108, 267, 23798, 267, 543, 7293, 7350, 269, 2859, 982, 476, 20065, 24806, 22602, 2932, 2564, 1382, 538, 670, 295, 11085, 20682, 693, 476, 7761, 14222, 2564, 7740, 543, 9945, 18487, 269, 670, 295, 11085, 779, 1753, 2985, 568, 693, 5291, 2517, 4178, 19544, 327, 14741, 3820, 269, 0, 303, 8824, 29407, 4915, 568, 1031, 547, 13209, 267, 1521, 267, 2061, 543, 4383, 22787, 543, 6689, 268, 976, 564, 2168, 23043, 269, 6481, 267, 2168, 267, 1599, 267, 26447, 267, 543, 25367, 7687, 610, 2175, 616, 1644, 547, 14529, 8824, 14317, 4915, 269, 634, 7463, 1268, 1058, 723, 2347, 2866, 538, 519, 8446, 540, 6198, 7207, 543, 5542, 540, 519, 1655, 14317, 6304, 2994, 267, 609, 606, 1620, 540, 519, 27795, 540, 1416, 2429, 519, 1576, 540, 9659, 269, 17925, 14317, 568, 7255, 811, 827, 2679, 4222, 543, 5355, 1983, 269, 898, 779, 811, 827, 11121, 1453, 547, 2744, 519, 1983, 543, 6015, 547, 3914, 741, 2407, 1761, 269, 1656, 621, 779, 849, 827, 5885, 3885, 2429, 519, 14317, 1974, 269, 0, 12648, 707, 1126, 593, 513, 3552, 11878, 547, 9018, 2230, 1141, 789, 3513, 1451, 827, 519, 7122, 609, 476, 2190, 4241, 3710, 2987, 2592, 540, 10785, 267, 6801, 543, 2230, 269, 634, 32695, 23571, 814, 476, 2568, 3764, 540, 8301, 609, 476, 13301, 5013, 543, 2055, 609, 519, 5639, 540, 14667, 667, 11921, 2836, 663, 22641, 328, 268, 519, 16073, 543, 3984, 540, 16737, 781, 834, 311, 680, 2610, 4934, 518, 6611, 1701, 1703, 616, 1079, 12331, 602, 1453, 666, 8359, 689, 282, 1249, 610, 7688, 7154, 4758, 596, 476, 6344, 5013, 610, 476, 6344, 2055, 547, 2626, 269, 634, 16263, 814, 669, 684, 5652, 5679, 10849, 3501, 585, 2370, 3946, 547, 3362, 17945, 543, 513, 19756, 7552, 617, 585, 2653, 13156, 269, 1403, 519, 4320, 568, 1932, 1970, 610, 1164, 596, 3513, 581, 2111, 547, 6467, 1063, 2157, 282, 5420, 543, 1164, 269, 1703, 616, 849, 1079, 3866, 338, 4092, 593, 519, 16263, 282, 835, 786, 1689, 1114, 3615, 547, 2070, 543, 519, 824, 786, 1689, 689, 5013, 543, 2055, 269, 23996, 9494, 267, 13128, 9505, 11325, 7140, 519, 1770, 1055, 1310, 1079, 3764, 540, 538, 13808, 563, 2005, 781, 513, 1390, 4367, 547, 5337, 924, 519, 7279, 540, 2257, 1369, 1762, 8186, 476, 275, 1296, 543, 4587, 563, 15124, 585, 3214, 945, 616, 8049, 543, 2972, 2470, 269, 898, 781, 513, 1390, 1259, 547, 4001, 3214, 827, 2230, 3615, 543, 9259, 563, 16248, 589, 8150, 9075, 616, 2838, 543, 711, 3769, 269, 634, 32695, 23571, 849, 2882, 476, 275, 4654, 282, 2296, 267, 5053, 267, 3943, 543, 4436, 563, 300, 1460, 1299, 26969, 8584, 4149, 19653, 454, 7069, 9741, 12426, 454, 5228, 12829, 293, 3881, 1677, 903, 454, 763, 9412, 564, 476, 1015, 454, 11947, 7547, 3933, 9094, 631, 4875, 25080, 631, 10270, 454, 5228, 7043, 303, 871, 10632, 454, 7093, 5174, 582, 8381, 523, 31584, 1299, 3883, 454, 5228, 674, 12685, 328, 1677, 903, 20941, 454, 8248, 653, 320, 28522, 2480, 1026, 7632, 1299, 16319, 667, 22259, 8274, 454, 27288, 5020, 13206, 527, 1846, 19643, 12187, 12426, 454, 5228, 9978, 8342, 2336, 5228, 4804, 8249, 0, 1692, 1082, 16087, 976, 1281, 4412, 2033, 723, 888, 16248, 269, 11330, 2033, 568, 595, 274, 295, 279, 267, 513, 630, 5139, 549, 21666, 264, 11140, 5627, 476, 274, 3327, 8444, 543, 476, 279, 7250, 8444, 563, 2467, 616, 1614, 16087, 976, 602, 781, 1018, 2306, 621, 834, 2889, 1790, 2033, 257, 543, 1079, 3289, 5766, 839, 585, 1142, 3327, 4849, 519, 7475, 799, 723, 1614, 269, 31527, 28721, 616, 1500, 540, 1152, 16087, 976, 543, 3289, 5766, 839, 865, 596, 1175, 917, 547, 946, 519, 1318, 1297, 540, 16087, 976, 543, 8936, 607, 1082, 3289, 5766, 839, 607, 2877, 547, 2347, 519, 16087, 976, 269, 595, 274, 670, 476, 279, 605, 11224, 1614, 630, 28721, 994, 11004, 616, 476, 279, 7250, 8444, 1459, 538, 4412, 2033, 269, 1703, 568, 476, 279, 7250, 8444, 538, 4412, 2033, 267, 3962, 3327, 814, 513, 1130, 1890, 540, 476, 275, 267, 476, 275, 7554, 609, 824, 8444, 269, 25756, 814, 1130, 1890, 540, 476, 272, 269, 519, 2489, 4542, 585, 12659, 6951, 568, 595, 333, 295, 273, 333, 1341, 273, 630, 333, 1797, 1297, 540, 602, 11046, 4700, 865, 547, 1265, 875, 1082, 3289, 5766, 839, 972, 609, 267, 2161, 267, 476, 2004, 16087, 976, 596, 1131, 798, 595, 333, 295, 273, 333, 1341, 476, 273, 284, 595, 2004, 295, 9083, 269, 2433, 994, 763, 3017, 568, 519, 7554, 1063, 519, 1101, 6292, 540, 16087, 976, 269, 589, 12539, 11046, 3340, 476, 275, 7554, 538, 513, 11140, 269, 769, 11330, 2033, 267, 519, 1614, 16087, 976, 723, 476, 272, 6125, 1063, 1142, 540, 873, 267, 543, 519, 1964, 540, 741, 7554, 616, 1031, 585, 7250, 267, 4611, 538, 513, 595, 274, 295, 279, 11140, 269, 769, 11330, 2940, 267, 519, 1101, 476, 273, 16087, 976, 786, 723, 513, 5595, 6125, 267, 4611, 538, 476, 273, 1447, 3289, 5766, 839, 538, 519, 11140, 267, 595, 274, 295, 277, 269, 634, 3017, 1063, 12659, 6951, 543, 620, 5287, 525, 616, 602, 2507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2152, 563, 25542, 12514, 630, 19986, 322, 4461, 264, 616, 513, 3730, 1907, 547, 4497, 543, 13599, 1857, 9458, 538, 2152, 1644, 547, 7350, 543, 5726, 282, 7366, 540, 7320, 1357, 322, 4461, 616, 2139, 547, 519, 2489, 1857, 1547, 5015, 267, 2027, 1514, 2923, 5867, 616, 1419, 5532, 547, 1357, 322, 4461, 269, 901, 6087, 13588, 547, 2671, 6547, 543, 2744, 1995, 689, 5717, 609, 8284, 24319, 269, 15706, 2022, 7422, 593, 2067, 1686, 2621, 14754, 998, 1357, 322, 4461, 269, 6270, 15624, 1606, 712, 1027, 1239, 4015, 568, 5732, 3407, 585, 3235, 5505, 543, 267, 538, 519, 2013, 540, 13155, 2249, 267, 949, 3391, 5726, 3527, 269, 1717, 267, 19599, 2370, 1382, 814, 1031, 1239, 689, 1357, 322, 4461, 1547, 6201, 1331, 24040, 2090, 1496, 280, 1700, 1556, 316, 543, 2090, 540, 9960, 7350, 1496, 1321, 267, 476, 1724, 4940, 4014, 1357, 322, 4461, 693, 20097, 666, 5732, 1683, 2143, 1344, 593, 2249, 11326, 267, 1906, 2090, 723, 1031, 713, 1935, 4586, 305, 2194, 832, 267, 513, 1347, 29487, 1895, 540, 5017, 267, 723, 1044, 1031, 607, 2203, 2249, 538, 8733, 2090, 543, 607, 17514, 1222, 2249, 538, 5726, 1382, 1496, 1428, 267, 476, 1626, 4940, 3509, 986, 696, 832, 616, 12219, 267, 10771, 519, 2956, 540, 2417, 1382, 1547, 1677, 13599, 519, 9962, 1857, 543, 3895, 741, 5726, 267, 1357, 322, 4461, 723, 1044, 8704, 693, 20097, 540, 1585, 986, 696, 528, 2249, 9960, 593, 4054, 267, 30917, 610, 9566, 7901, 525, 1496, 280, 267, 476, 1704, 14073, 16954, 2827, 540, 519, 10815, 518, 20128, 1540, 26267, 1849, 18553, 533, 558, 541, 2088, 267, 513, 5420, 2000, 1618, 986, 696, 528, 267, 723, 1044, 19394, 538, 1896, 2694, 540, 922, 2039, 1282, 2487, 5756, 1547, 901, 4104, 1673, 16946, 986, 696, 528, 585, 1137, 538, 1930, 2244, 593, 1585, 1507, 13355, 2831, 267, 971, 607, 27738, 267, 5017, 543, 11864, 1547, 1717, 267, 519, 3448, 12451, 540, 10352, 3688, 949, 1689, 1282, 519, 9960, 4005, 476, 610, 1063, 1296, 1496, 2641, 267, 476, 2420, 267, 855, 1294, 476, 2537, 4940, 3776, 1620, 540, 519, 10815, 518, 20128, 1540, 26267, 2732, 568, 5097, 1759, 593, 9382, 540, 26005, 543, 10352, 3788, 6394, 693, 20097, 1496, 2420, 1700, 1839, 4940, 1717, 267, 713, 1505, 568, 21678, 2509, 1978, 10352, 2249, 630, 20357, 267, 585, 1383, 267, 621, 19765, 23660, 519, 8167, 540, 27738, 1496, 2918, 267, 476, 2767, 316, 543, 2488, 1239, 585, 513, 2110, 1974, 1991, 547, 519, 4015, 540, 1570, 269, 6034, 7422, 543, 3381, 12514, 267, 3246, 28102, 1344, 593, 519, 2732, 5888, 267, 616, 25864, 1031, 538, 1382, 593, 519, 10815, 518, 20128, 1540, 26267, 1496, 736, 267, 476, 2764, 267, 476, 3066, 4940, 8616, 267, 13974, 547, 1082, 824, 3529, 268, 543, 29384, 5991, 20535, 986, 696, 832, 267, 1357, 322, 4461, 723, 1044, 1031, 547, 6338, 10815, 518, 20128, 1540, 26267, 547, 519, 9962, 1857, 538, 1896, 2477, 563, 2171, 1031, 10352, 6765, 5638, 5833, 689, 1357, 322, 4461, 547, 2263, 519, 2732, 5888, 540, 519, 10815, 518, 20128, 1540, 26267, 543, 15366, 5107, 538, 1426, 11865, 532, 269, 1284, 21845, 5638, 20024, 538, 606, 4950, 8468, 676, 13538, 1739, 20097, 540, 2185, 10815, 518, 20128, 1540, 26267, 8424, 9960, 538, 6480, 8205, 267, 5087, 3887, 6141, 2342, 269, 1284, 1101, 11117, 519, 17114, 540, 1585, 10352, 2516, 538, 519, 2732, 2429, 519, 9960, 4005, 269, 4340, 547, 4505, 2361, 7422, 2073, 649, 4397, 547, 1294, 513, 1164, 8167, 540, 20883, 538, 519, 5614, 543, 513, 16795, 2333, 538, 11864, 538, 519, 2732, 936, 519, 1576, 540, 519, 9960, 4005, 267, 1247, 5017, 616, 27229, 10057, 693, 1970, 2157, 269, 1717, 267, 649, 849, 4397, 547, 1294, 8390, 1851, 6594, 8424, 1813, 547, 2360, 540, 1032, 267, 4087, 610, 1367, 5079, 269, 5822, 267, 649, 21845, 13796, 2242, 538, 15366, 5107, 676, 20592, 3466, 538, 1426, 5838, 625, 693, 20097, 269, 769, 1899, 609, 4505, 7422, 1496, 3066, 267, 476, 1789, 3910, 649, 4397, 547, 7747, 519, 1739, 2534, 3270, 538, 782, 20097, 281, 476, 272, 264, 1970, 1297, 540, 10352, 5838, 625, 676, 9038, 1282, 519, 29164, 1974, 609, 606, 2333, 538, 2534, 1310, 519, 554, 10248, 540, 32138, 267, 543, 476, 273, 264, 1100, 4775, 5838, 625, 1282, 29164, 543, 1507, 9566, 1782, 5712, 543, 1376, 540, 10352, 5838, 625, 1310, 9566, 13530, 3914, 513, 1906, 4374, 2025, 563, 29605, 543, 2409, 454, 19138, 3135, 543, 2249, 454, 10574, 941, 6394, 538, 7532, 7266, 1537, 6480, 8205, 630, 297, 383, 369, 613, 9366, 543, 570, 691, 340, 17521, 1070, 8280, 756, 648, 531, 5087, 3887, 6141, 2342, 630, 306, 272, 8431, 538, 590, 272, 11711, 1040, 9050, 8424, 540, 32608, 941, 6594, 267, 1142, 585, 835, 3811, 9960, 4005, 267, 538, 1585, 1296, 630, 8368, 476, 272, 1040, 5940, 1734, 1063, 20097, 24132, 689, 476, 273, 269, 276, 5998, 547, 476, 3393, 5998, 630, 306, 272, 8431, 538, 590, 272, 11711, 1040, 634, 14099, 729, 6366, 543, 519, 5251, 729, 2147, 693, 782, 9566, 4609, 267, 1519, 513, 24463, 540, 3484, 1633, 2127, 540, 1585, 7306, 267, 609, 7733, 543, 1585, 2010, 540, 19126, 954, 4944, 619, 539, 269, 634, 1611, 2837, 1282, 519, 9960, 4005, 630, 19688, 1700, 20809, 264, 568, 476, 1556, 1700, 1724, 9180, 543, 1611, 10865, 11811, 568, 476, 1789, 1700, 3445, 6515, 630, 5408, 1496, 736, 267, 476, 4029, 316, 585, 3877, 1916, 27832, 518, 20128, 1540, 661, 24346, 12446, 538, 6480, 8205, 538, 4989, 543, 2482, 5798, 538, 3735, 4989, 610, 2038, 2904, 282, 741, 15556, 24011, 538, 2038, 610, 4571, 11219, 2317, 543, 1166, 8354, 538, 2038, 4864, 1547, 4107, 32608, 2482, 1079, 5798, 609, 606, 8884, 540, 513, 1906, 2395, 543, 1376, 29164, 1310, 519, 1101, 4212, 267, 4611, 538, 607, 2106, 28942, 554, 10248, 269, 1306, 513, 4341, 267, 1152, 519, 4587, 552, 698, 2280, 19679, 2471, 267, 6466, 519, 7820, 10523, 1282, 519, 1101, 4374, 540, 1272, 1813, 547, 14699, 676, 519, 24107, 269, 10815, 518, 20128, 1540, 661, 24346, 946, 741, 20097, 14578, 267, 1818, 8254, 2861, 5464, 2653, 563, 13434, 1800, 540, 2621, 693, 20097, 454, 10521, 2010, 540, 1357, 322, 4461, 630, 300, 984, 582, 1460, 543, 31196, 674, 6078, 264, 941, 1031, 547, 2594, 2621, 693, 10815, 518, 20128, 1540, 26267, 20097, 269, 634, 12514, 941, 13859, 609, 606, 5007, 28416, 543, 13324, 1210, 3859, 8440, 267, 799, 941, 1264, 7757, 609, 9075, 547, 2327, 513, 6024, 3761, 540, 1379, 269, 634, 1357, 322, 4461, 941, 8704, 593, 519, 9566, 3529, 630, 272, 1700, 273, 544, 689, 519, 9566, 264, 538, 2038, 4989, 267, 1354, 519, 2132, 540, 4955, 7992, 2937, 5017, 547, 519, 9960, 2666, 269, 8307, 538, 476, 1001, 274, 267, 513, 9566, 729, 2907, 21243, 609, 3039, 2044, 543, 1312, 3237, 941, 2938, 593, 519, 1554, 540, 1357, 31748, 10380, 269, 634, 2661, 13739, 729, 1792, 3139, 3842, 31923, 3095, 547, 29577, 4950, 11179, 2429, 519, 3003, 9960, 4005, 269, 16424, 1974, 729, 2147, 693, 782, 20097, 267, 8151, 1063, 476, 7176, 543, 476, 12893, 2395, 630, 5793, 1998, 1063, 519, 1101, 543, 519, 2063, 2594, 282, 9566, 476, 272, 281, 476, 1789, 4989, 547, 476, 277, 4864, 282, 9566, 476, 273, 281, 476, 1704, 4989, 547, 476, 1015, 4864, 282, 9566, 476, 274, 281, 476, 2190, 4989, 547, 476, 1556, 4864, 282, 9566, 476, 275, 281, 476, 2190, 4989, 547, 476, 1626, 4864, 1916, 18128, 757, 693, 6594, 20097, 941, 6592, 676, 17319, 24319, 945, 11540, 741, 7422, 538, 513, 2027, 1930, 4950, 8468, 630, 10059, 2517, 4178, 7456, 797, 23677, 531, 2658, 269, 2465, 270, 1721, 636, 270, 1613, 1721, 636, 21703, 286, 325, 284, 1839, 1040, 634, 24319, 32380, 8678, 519, 8468, 543, 11540, 7422, 593, 513, 17319, 4493, 269, 17072, 2818, 616, 3222, 602, 741, 7422, 267, 5496, 15833, 543, 7044, 616, 1930, 2707, 630, 10059, 2517, 4178, 7456, 797, 23677, 531, 2658, 269, 2465, 270, 1721, 636, 270, 1613, 339, 8084, 21703, 286, 325, 284, 278, 261, 339, 284, 1704, 1040, 4578, 19216, 941, 711, 8036, 1317, 1239, 941, 21845, 24794, 1051, 1947, 543, 10352, 3688, 941, 7535, 539, 883, 1906, 1134, 5498, 1706, 762, 5049, 585, 2079, 269, 5047, 267, 519, 8446, 540, 10352, 3688, 729, 24019, 689, 6337, 267, 950, 2009, 630, 5408, 2630, 1040, 634, 7422, 4988, 2407, 2395, 267, 609, 606, 2810, 1297, 540, 6592, 2238, 2394, 476, 1556, 513, 6230, 269, 543, 513, 3500, 6175, 27502, 630, 306, 273, 8431, 538, 590, 272, 11711, 1040, 4014, 2242, 538, 6592, 2238, 949, 581, 14356, 2404, 609, 20626, 2534, 267, 649, 3494, 602, 621, 6140, 9356, 1483, 4806, 540, 2238, 693, 20097, 267, 1317, 543, 9571, 4806, 568, 2147, 547, 519, 2489, 2534, 4806, 540, 19481, 32608, 476, 543, 24319, 12090, 689, 1585, 2477, 630, 5503, 10851, 264, 1472, 519, 2622, 630, 298, 582, 330, 752, 331, 889, 328, 267, 10002, 21242, 1239, 1040, 3143, 15295, 1344, 593, 8468, 2818, 568, 2139, 563, 763, 3237, 941, 9674, 2687, 547, 24466, 2934, 267, 6140, 676, 1808, 20034, 720, 2934, 269, 11557, 10391, 24466, 4162, 941, 1031, 585, 1367, 8446, 267, 607, 9038, 616, 10169, 4130, 267, 609, 25182, 512, 1513, 328, 630, 1952, 8960, 3476, 264, 543, 513, 7522, 518, 3915, 269, 5651, 874, 1670, 3023, 532, 729, 2663, 9672, 676, 24040, 7422, 630, 325, 655, 2297, 9788, 5798, 267, 17861, 730, 5798, 1034, 540, 942, 543, 25374, 585, 519, 1762, 1040, 3958, 267, 1312, 3237, 941, 9280, 609, 513, 15870, 20675, 2466, 614, 543, 8258, 539, 609, 513, 5068, 7990, 8258, 543, 606, 15022, 603, 1670, 8258, 693, 9566, 476, 275, 269, 634, 5256, 5645, 513, 31092, 543, 14034, 1247, 519, 4775, 729, 8258, 539, 609, 606, 15022, 603, 1670, 8258, 693, 9566, 476, 274, 269, 901, 19658, 519, 9668, 540, 2043, 538, 1346, 1079, 20097, 563, 8967, 582, 1540, 32608, 2356, 4163, 741, 1426, 538, 519, 3915, 267, 1818, 519, 8446, 540, 10352, 3688, 5266, 2653, 269, 2776, 344, 2831, 941, 4857, 676, 24319, 547, 519, 2249, 630, 324, 3052, 1421, 3727, 13669, 11985, 20789, 335, 2801, 320, 543, 649, 553, 601, 18771, 11253, 562, 2526, 529, 1070, 12593, 630, 324, 3052, 1421, 20883, 681, 3570, 838, 1421, 2019, 525, 5843, 339, 639, 838, 269, 543, 8983, 7442, 617, 655, 639, 838, 4700, 610, 1362, 630, 18346, 543, 11864, 264, 1377, 269, 1530, 1203, 344, 26690, 2600, 540, 5638, 941, 6462, 609, 6337, 543, 3976, 1223, 581, 24019, 676, 519, 4589, 269, 27051, 476, 5952, 260, 540, 1541, 5874, 7902, 547, 581, 2953, 282, 17756, 3769, 1216, 2019, 525, 267, 799, 941, 1419, 4857, 607, 14148, 267, 543, 513, 13855, 4857, 607, 513, 2892, 600, 6387, 602, 568, 711, 1459, 538, 6480, 8205, 269, 1284, 16432, 519, 2732, 5888, 693, 519, 1362, 1377, 543, 1287, 14384, 6059, 17114, 540, 11864, 267, 799, 941, 519, 1034, 3875, 2516, 543, 2864, 3551, 547, 3651, 547, 2249, 610, 25281, 269, 1717, 267, 10352, 3688, 941, 4749, 6592, 607, 968, 684, 30009, 1507, 11864, 5608, 543, 519, 2671, 540, 713, 8760, 538, 20097, 729, 11874, 17047, 609, 519, 8167, 540, 2019, 525, 267, 519, 1034, 1455, 10352, 6221, 630, 337, 815, 1107, 271, 269, 5952, 267, 562, 815, 476, 275, 1070, 10834, 602, 1034, 968, 684, 30009, 1507, 11864, 892, 941, 4440, 2019, 525, 269, 1133, 30009, 1507, 11864, 941, 7535, 539, 609, 2019, 525, 538, 8579, 3631, 540, 3604, 1063, 20097, 543, 13796, 2242, 538, 10352, 5888, 269, 1284, 849, 9674, 18253, 267, 799, 616, 5266, 2653, 547, 2697, 267, 543, 267, 2687, 547, 606, 4505, 1353, 2073, 1106, 606, 1271, 851, 540, 519, 2732, 538, 6480, 8205, 563, 763, 10471, 568, 2139, 607, 24045, 1344, 630, 306, 272, 7305, 538, 590, 273, 11711, 1040, 589, 10352, 6765, 630, 328, 4318, 1421, 519, 1297, 540, 10352, 3688, 538, 9273, 264, 729, 1031, 607, 513, 1353, 1770, 547, 6218, 519, 2732, 5888, 543, 15366, 2534, 269, 901, 1935, 568, 20582, 676, 5266, 1970, 2450, 8390, 1851, 519, 1507, 10352, 540, 519, 10815, 518, 20128, 1540, 26267, 269, 4475, 267, 13947, 729, 711, 1031, 538, 8579, 9382, 267, 4352, 621, 814, 1044, 7229, 630, 8117, 814, 10355, 1044, 3769, 538, 9382, 264, 538, 4505, 2090, 563, 21809, 6750, 9382, 941, 5342, 538, 519, 8579, 1604, 681, 1547, 20212, 538, 2732, 5888, 1851, 20097, 941, 21845, 676, 1617, 30796 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6889, 704, 5602, 825, 1948, 5173, 513, 12939, 454, 825, 29178, 815, 14834, 263, 1723, 27889, 15631, 24038, 7481, 825, 579, 628, 3306, 815, 29178, 2608, 5286, 28460, 263, 476, 273, 265, 12639, 28802, 263, 7003, 263, 3863, 22710, 5334, 7685, 264, 3738, 994, 825, 8107, 742, 314, 272, 281, 316, 815, 630, 6853, 342, 339, 269, 628, 11611, 9217, 267, 1871, 284, 3578, 3306, 267, 7154, 8782, 7809, 10807, 585, 1775, 538, 8107, 742, 314, 272, 281, 7481, 825, 1948, 18949, 519, 5365, 454, 825, 586, 815, 476, 7510, 342, 339, 9884, 1511, 13440, 263, 8107, 742, 267, 5951, 2280, 267, 7154, 8782, 704, 5073, 825, 2132, 586, 7531, 3698, 5347, 318, 531, 2998, 19906, 18425, 267, 6885, 267, 30775, 267, 737, 342, 16911, 284, 24001, 2187, 825, 8173, 825, 5951, 2280, 5347, 1599, 454, 825, 2433, 1706, 4461, 454, 825, 476, 272, 269, 6151, 22710, 5334, 7685, 281, 630, 5503, 3126, 538, 11885, 5044, 994, 825, 476, 273, 269, 5951, 2280, 281, 11434, 1826, 540, 5951, 2280, 630, 11415, 994, 825, 476, 274, 269, 1377, 281, 2759, 11325, 1377, 692, 825, 2433, 8873, 281, 519, 1482, 27480, 1239, 454, 825, 8173, 825, 2855, 28747, 815, 2855, 18425, 17482, 314, 271, 2639, 825, 6882, 5334, 532, 531, 815, 5286, 6983, 4878, 19906, 18425, 994, 825, 585, 1775, 538, 2039, 263, 30720, 268, 272, 267, 2855, 28747, 2187, 1038, 6882, 5334, 532, 531, 5157, 316, 815, 30775, 19906, 18425, 5157, 2914, 785, 578, 266, 272, 281, 1775, 266, 272, 3910, 2878, 29220, 16911, 264, 15631, 272, 2639, 825, 2132, 6882, 5334, 532, 531, 0, 5897, 24653, 3698, 703, 2414, 289, 2435, 1626, 4226, 263, 7407, 8029, 825, 15981, 1477, 825, 16849, 513, 476, 1626, 4226, 5569, 540, 519, 9352, 1871, 540, 519, 9936, 23228, 825, 15981, 1477, 825, 6151, 289, 2435, 815, 10822, 263, 7407, 25011, 273, 15311, 15947, 825, 3259, 815, 7003, 263, 3863, 289, 2435, 3418, 825, 9352, 815, 1412, 271, 262, 2608, 630, 1626, 910, 3259, 264, 1341, 6151, 289, 2435, 1477, 825, 2132, 9352, 1477, 258, 476, 18927, 18927, 18927, 9982, 5541, 5897, 3698, 703, 2414, 289, 2435, 279, 4226, 263, 7407, 8029, 825, 15981, 1477, 825, 1401, 13254, 1031, 585, 5358, 6076, 333, 614, 630, 15425, 3418, 825, 15981, 1477, 825, 6151, 289, 2435, 815, 10822, 263, 7407, 25011, 273, 15311, 15947, 825, 3259, 815, 7003, 263, 3863, 289, 2435, 3418, 825, 9352, 815, 1412, 271, 262, 2608, 630, 279, 910, 3259, 264, 1341, 6151, 289, 2435, 1477, 825, 2132, 9352, 1477, 258, 476, 18927, 18927, 18927, 9982, 5541, 1477, 24541, 3698, 9352, 279, 4226, 2414, 4504, 6357, 2435, 19368, 8029, 825, 15981, 1477, 825, 20593, 1206, 476, 279, 4226, 9352, 12673, 547, 741, 9757, 8870, 2418, 1477, 825, 15981, 1477, 825, 2132, 703, 6357, 2435, 19368, 267, 476, 273, 3418, 258, 476, 18927, 18927, 18927, 9982, 5541, 5897, 3698, 2638, 7021, 6503, 263, 7407, 8029, 825, 15981, 1477, 825, 4258, 4242, 952, 519, 1871, 20489, 519, 2039, 540, 519, 27861, 610, 711, 1775, 4318, 269, 568, 621, 3152, 982, 630, 273, 317, 1626, 268, 272, 3418, 825, 1422, 333, 29146, 7407, 281, 1323, 8870, 1871, 547, 581, 5293, 269, 634, 1871, 6740, 538, 519, 11578, 1477, 825, 1422, 333, 29146, 14303, 5281, 513, 1630, 18978, 281, 6936, 15010, 24492, 8587, 8771, 15010, 3143, 3683, 6503, 1477, 825, 15981, 1477, 825, 952, 263, 7407, 3436, 630, 273, 1262, 1626, 910, 476, 272, 264, 8029, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 1477, 258, 476, 18927, 18927, 18927, 9982, 5541, 0, 258, 769, 713, 1966, 649, 786, 1020, 324, 513, 3070, 547, 4466, 519, 2547, 2179, 454, 258, 11113, 2838, 547, 2285, 1689, 547, 513, 3593, 19638, 692, 3698, 2547, 318, 4219, 263, 9690, 318, 4219, 267, 11113, 267, 21461, 2187, 14851, 263, 9690, 318, 4219, 2652, 476, 271, 2187, 453, 16596, 476, 271, 692, 453, 2381, 815, 1699, 318, 4219, 453, 692, 22610, 11777, 538, 11113, 912, 453, 14851, 630, 9690, 318, 4219, 910, 11777, 264, 13843, 476, 271, 912, 4848, 14851, 1699, 318, 4219, 910, 11777, 538, 21461, 314, 271, 14158, 15235, 453, 8314, 20311, 815, 21461, 314, 271, 6012, 9690, 318, 4219, 910, 11777, 2639, 4848, 28432, 912, 15235, 453, 8314, 20311, 815, 2547, 318, 4219, 263, 9690, 318, 4219, 910, 11777, 267, 11113, 267, 21461, 994, 15235, 453, 322, 5995, 314, 271, 6012, 9690, 318, 4219, 910, 11777, 316, 815, 11777, 20311, 692, 4848, 453, 258, 4855, 519, 1295, 540, 519, 1689, 2630, 267, 1341, 272, 547, 1331, 713, 454, 4848, 14851, 1295, 3436, 11777, 20311, 1341, 476, 272, 912, 15235, 453, 2381, 815, 11777, 20311, 1341, 476, 272, 454, 15235, 453, 2381, 815, 11777, 20311, 1341, 476, 272, 692, 16596, 1295, 692, 3698, 9041, 548, 770, 318, 4219, 263, 9690, 318, 4219, 267, 11113, 2187, 14851, 263, 9690, 318, 4219, 2652, 476, 271, 2187, 453, 16596, 476, 271, 692, 453, 2381, 815, 1699, 318, 4219, 453, 692, 22610, 11777, 538, 11113, 912, 453, 14851, 630, 9690, 318, 4219, 910, 11777, 264, 13843, 476, 271, 912, 4848, 453, 8314, 20311, 815, 9041, 548, 770, 318, 4219, 263, 9690, 318, 4219, 910, 11777, 267, 11113, 2020, 4848, 453, 258, 4855, 519, 1295, 540, 519, 1689, 2630, 267, 1341, 272, 547, 1331, 713, 454, 4848, 14851, 1295, 3436, 11777, 20311, 1341, 476, 272, 912, 15235, 453, 2381, 815, 11777, 20311, 1341, 476, 272, 454, 15235, 453, 2381, 815, 11777, 20311, 1341, 476, 272, 692, 16596, 1295, 692, 3698, 1292, 10031, 453, 23915, 815, 1496, 1839, 267, 476, 1015, 267, 476, 276, 267, 476, 272, 2639, 453, 4219, 815, 476, 11277, 3393, 454, 453, 548, 770, 815, 2547, 318, 4219, 263, 4219, 267, 11113, 267, 1496, 24001, 20285, 13537, 834, 8867, 770, 1689, 585, 4939, 323, 568, 4939, 323, 257, 4939, 630, 4219, 267, 2547, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 3890, 0, 1948, 8587, 476, 276, 454, 1948, 825, 1315, 567, 26444, 1948, 567, 476, 273, 672, 476, 278, 454, 1948, 476, 1315, 1422, 567, 1315, 26444, 1948, 476, 272, 567, 476, 274, 476, 277, 567, 476, 279, 692, 1362, 19219, 912, 476, 22592, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 2451, 22561, 267, 1318, 22561, 2187, 476, 453, 19677, 21606, 284, 11907, 454, 453, 19677, 16000, 284, 3847, 454, 476, 453, 19677, 16192, 284, 2431, 692, 1362, 645, 4306, 912, 476, 22592, 6449, 8181, 9191, 1345, 2187, 476, 453, 19677, 269, 10174, 284, 11966, 10797, 476, 22592, 7696, 4311, 267, 1239, 2187, 476, 453, 453, 318, 12133, 4311, 269, 10174, 267, 1239, 2020, 476, 22592, 9041, 12133, 4311, 267, 1699, 17045, 267, 1239, 17107, 476, 453, 14851, 263, 9690, 17045, 2652, 994, 0, 258, 1284, 616, 2469, 547, 2936, 513, 9352, 3406, 3529, 1934, 8528, 5035, 6843, 912, 22592, 6449, 8181, 9191, 1345, 267, 1883, 22561, 267, 4067, 22561, 2187, 453, 19677, 269, 4486, 284, 4486, 454, 453, 19677, 20508, 284, 4067, 454, 453, 19677, 16192, 22561, 454, 453, 19677, 16000, 22561, 692, 5035, 645, 4306, 912, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 269, 10174, 22561, 692, 22592, 7696, 4311, 267, 1883, 267, 2012, 2187, 453, 14851, 1582, 269, 10174, 2652, 7183, 912, 4848, 19677, 269, 10174, 284, 27161, 31107, 267, 2012, 994, 453, 28432, 912, 4848, 19677, 11519, 12133, 31107, 267, 2012, 267, 1345, 269, 10174, 2020, 22592, 9041, 12133, 4311, 267, 1883, 267, 2012, 267, 1699, 17045, 17107, 453, 14851, 1883, 2999, 1699, 17045, 269, 4486, 281, 3097, 4848, 14851, 1699, 17045, 16000, 2652, 7183, 912, 15235, 453, 9690, 17045, 16000, 815, 6843, 31107, 267, 2012, 994, 4848, 28432, 912, 15235, 19677, 11519, 12133, 31107, 267, 2012, 267, 1699, 17045, 16000, 994, 453, 453, 19197, 1883, 3436, 1699, 17045, 269, 4486, 912, 4848, 14851, 1699, 17045, 16192, 2652, 7183, 912, 15235, 453, 9690, 17045, 16192, 815, 6843, 31107, 267, 2012, 994, 4848, 28432, 912, 15235, 19677, 11519, 12133, 31107, 267, 2012, 267, 1699, 17045, 16192, 994, 453, 28432, 912, 4848, 13537, 1883, 267, 834, 531, 2819, 538, 3529, 15323, 22592, 1820, 4671, 872, 4311, 2187, 453, 14851, 1582, 269, 10174, 11203, 7183, 912, 4848, 19677, 11519, 2745, 4671, 872, 4311, 269, 10174, 994, 453, 28432, 912, 4848, 13537, 834, 1607, 3529, 568, 8900, 3010, 22592, 9041, 2745, 4671, 872, 4311, 267, 1699, 17045, 2187, 453, 14851, 1699, 17045, 11203, 7183, 912, 4848, 19677, 11519, 2745, 4671, 872, 263, 9690, 17045, 16000, 994, 4848, 13537, 1193, 263, 9690, 17045, 269, 4486, 264, 1341, 834, 281, 834, 1341, 1699, 17045, 20508, 454, 4848, 19677, 11519, 2745, 4671, 872, 263, 9690, 17045, 16192, 2020, 22592, 4463, 4311, 2187, 453, 14851, 4311, 269, 10174, 11203, 7183, 2187, 4848, 16596, 1582, 11519, 19417, 4311, 269, 10174, 267, 476, 271, 994, 453, 28432, 912, 4848, 16596, 476, 271, 692, 22592, 9041, 19417, 4311, 267, 1699, 17045, 267, 1699, 318, 19417, 2187, 453, 14851, 263, 9690, 17045, 2525, 14085, 2567, 2132, 1699, 318, 19417, 692, 453, 453, 3847, 318, 19417, 284, 1345, 11519, 19417, 263, 9690, 17045, 16000, 267, 1699, 318, 19417, 1341, 476, 272, 994, 453, 453, 2431, 318, 19417, 284, 1345, 11519, 19417, 263, 9690, 17045, 16192, 267, 1699, 318, 19417, 1341, 476, 272, 994, 453, 16596, 3193, 263, 3847, 318, 19417, 267, 1318, 318, 19417, 2020, 22592, 3406, 4311, 267, 1883, 2187, 453, 14851, 1582, 269, 10174, 11203, 7183, 912, 4848, 16596, 1582, 11519, 14142, 4311, 269, 10174, 267, 1883, 994, 453, 28432, 912, 4848, 16596, 8771, 692, 22592, 9041, 14142, 4311, 267, 1699, 17045, 267, 1883, 2187, 453, 14851, 1883, 2652, 1699, 17045, 269, 4486, 281, 3097, 20930, 2132, 1699, 17045, 20508, 454, 453, 453, 19197, 1883, 2999, 1699, 17045, 269, 4486, 543, 1699, 17045, 16000, 11203, 7183, 912, 4848, 16596, 1582, 11519, 14142, 263, 9690, 17045, 16000, 267, 1883, 994, 453, 453, 19197, 1883, 3436, 1699, 17045, 269, 4486, 543, 1699, 17045, 16192, 11203, 7183, 912, 4848, 16596, 1582, 11519, 14142, 263, 9690, 17045, 16192, 267, 1883, 994, 453, 16596, 8771, 8528, 7531, 3698, 6445, 4671, 872, 6025, 872, 267, 1003, 21223, 548, 916, 284, 1911, 267, 3193, 318, 842, 284, 1911, 2187, 453, 5228, 4351, 1104, 28219, 842, 454, 22610, 9041, 538, 2039, 16325, 21223, 548, 916, 2187, 453, 453, 2017, 21223, 12661, 815, 28219, 842, 263, 271, 267, 10946, 318, 842, 994, 453, 453, 29728, 27044, 263, 2017, 21223, 12661, 994, 16596, 3529, 4512, 692, 29728, 815, 645, 4306, 4590, 258, 3529, 815, 6445, 4671, 872, 6025, 872, 994, 258, 3529, 31428, 4671, 872, 3890, 3097, 258, 1820, 834, 16655, 4463, 568, 24333, 3529, 269, 19417, 4590, 29728, 27044, 263, 2537, 267, 834, 27839, 1170, 807, 5602, 29728, 27044, 263, 8287, 267, 834, 310, 754, 773, 5602, 29728, 27044, 263, 273, 267, 834, 289, 564, 1399, 5602, 29728, 27044, 263, 5952, 267, 834, 8867, 7974, 5602, 29728, 27044, 263, 11152, 267, 834, 298, 1430, 2106, 5602, 29728, 27044, 263, 2004, 267, 834, 305, 2135, 13860, 5602, 29728, 27044, 263, 3393, 267, 834, 297, 574, 3240, 5602, 29728, 27044, 263, 7906, 267, 834, 291, 2335, 1408, 548, 5602, 29728, 27044, 263, 10037, 267, 834, 307, 600, 11986, 5602, 29728, 27044, 263, 9262, 267, 834, 302, 1087, 773, 5602, 29728, 27044, 263, 1691, 267, 834, 307, 3415, 5602, 29728, 27044, 263, 10602, 267, 834, 291, 541, 7758, 5602, 29728, 27044, 263, 3607, 267, 834, 309, 7701, 5602, 2741, 872, 27044, 263, 5392, 267, 834, 5141, 732, 1777, 320, 5602, 29728, 27044, 263, 1789, 267, 834, 299, 344, 2006, 5602, 258, 3529, 31428, 4671, 872, 3890, 476, 7531, 2745, 3529, 269, 14142, 263, 1691, 9239, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 5569, 454, 5814, 10070, 692, 3698, 32614, 263, 8527, 622, 23952, 267, 1297, 15461, 318, 8527, 622, 318, 2421, 2187, 825, 5580, 815, 10070, 19709, 4302, 30415, 269, 30913, 328, 318, 6269, 27664, 994, 825, 2539, 815, 10070, 19709, 4302, 30415, 269, 30913, 328, 318, 869, 27664, 2020, 825, 5580, 269, 8527, 622, 28840, 15461, 318, 8527, 622, 318, 2421, 994, 825, 2539, 269, 8527, 622, 28840, 15461, 318, 8527, 622, 318, 2421, 2020, 825, 5580, 815, 1412, 8339, 21860, 17338, 263, 21639, 4917, 825, 2539, 815, 1412, 8339, 21860, 17338, 263, 12294, 11723, 825, 2132, 17967, 23952, 6745, 4920, 17218, 30415, 6230, 752, 564, 4920, 30415, 269, 30913, 328, 318, 6269, 27664, 267, 5580, 26895, 10520, 17218, 30415, 6230, 752, 564, 4920, 30415, 269, 30913, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9172, 1260, 2041, 1148, 10306, 919, 1018, 568, 1572, 519, 968, 2710, 551, 9068, 540, 17677, 6356, 892, 538, 519, 1576, 540, 10404, 1944, 10228, 2160, 779, 3375, 547, 8366, 606, 8956, 776, 4110, 547, 16452, 32457, 269, 634, 2856, 568, 602, 11318, 519, 17608, 607, 513, 1797, 547, 707, 1439, 568, 2141, 12638, 855, 602, 11318, 519, 17608, 607, 513, 2427, 540, 1198, 540, 13197, 707, 1439, 568, 711, 269, 2334, 6087, 1200, 547, 28586, 930, 3800, 3144, 1282, 2112, 267, 971, 607, 26645, 4872, 267, 1247, 711, 14957, 2698, 31390, 604, 1143, 563, 1432, 779, 519, 3017, 1063, 1799, 528, 958, 11318, 21030, 757, 543, 7989, 1170, 4601, 11318, 21030, 757, 286, 898, 814, 547, 798, 609, 707, 9837, 269, 1403, 596, 20053, 547, 6146, 519, 17608, 607, 513, 1259, 540, 8236, 707, 2832, 267, 707, 2962, 568, 25432, 4636, 269, 1403, 596, 798, 711, 20053, 547, 6146, 519, 17608, 855, 8806, 917, 602, 596, 786, 798, 865, 267, 707, 2962, 568, 711, 25432, 4636, 563, 306, 4754, 23127, 10404, 3278, 519, 2856, 602, 15752, 666, 1118, 3527, 25432, 4636, 610, 267, 607, 646, 12662, 621, 968, 574, 11279, 24777, 1848, 1261, 14659, 602, 3274, 10503, 519, 3527, 568, 2614, 547, 3313, 2436, 789, 616, 1318, 610, 4636, 282, 972, 568, 1100, 991, 547, 1413, 693, 519, 9837, 602, 12592, 519, 3527, 563, 2791, 723, 4440, 4862, 540, 519, 1684, 551, 9068, 540, 17677, 6356, 1510, 6616, 621, 269, 898, 779, 1018, 568, 3297, 519, 4583, 570, 1503, 2917, 9046, 269, 3371, 779, 519, 1966, 563, 288, 512, 1503, 2917, 568, 593, 513, 3950, 1141, 621, 786, 6146, 2947, 1004, 269, 1411, 666, 7903, 835, 1268, 538, 922, 1259, 269, 2334, 786, 2014, 621, 547, 3247, 267, 9494, 519, 2947, 267, 855, 693, 519, 1942, 540, 11318, 519, 835, 1268, 596, 14593, 563, 288, 512, 1503, 2917, 568, 593, 513, 3950, 1141, 621, 786, 6146, 2947, 1004, 269, 1411, 666, 12235, 513, 6467, 269, 2334, 786, 2014, 621, 547, 979, 593, 513, 1114, 3950, 267, 9494, 519, 2947, 267, 855, 693, 519, 1942, 540, 11318, 835, 1268, 593, 519, 824, 3950, 563, 1607, 6292, 540, 2665, 729, 5189, 547, 9414, 519, 1684, 551, 9068, 540, 17677, 6356, 269, 634, 2856, 568, 602, 11319, 519, 835, 1268, 5196, 519, 3950, 538, 519, 1101, 2013, 1131, 581, 4636, 1317, 621, 3096, 602, 1268, 779, 2669, 607, 513, 1797, 547, 4688, 519, 2947, 269, 1717, 15175, 519, 512, 1503, 2917, 5196, 519, 3950, 609, 519, 835, 1268, 593, 621, 568, 1767, 711, 547, 581, 4636, 1317, 621, 3322, 11318, 519, 835, 1268, 1152, 607, 513, 2427, 1198, 540, 9494, 519, 2947, 563, 291, 15104, 2219, 602, 519, 512, 1503, 2917, 2665, 1500, 519, 11984, 1063, 1797, 543, 2427, 2360, 1447, 2312, 982, 621, 1185, 8604, 1354, 269, 2334, 779, 711, 513, 1434, 3364, 585, 606, 1383, 547, 798, 256, 2098, 2033, 8815, 602, 621, 568, 2182, 547, 5094, 1797, 543, 2427, 2360, 563, 2419, 5142, 11130, 602, 596, 666, 1406, 917, 2576, 779, 15752, 267, 865, 519, 4674, 547, 1964, 513, 11984, 899, 713, 593, 15752, 568, 4829, 1652, 269, 594, 1589, 972, 779, 1945, 547, 602, 267, 855, 594, 1589, 621, 779, 2009, 547, 1491, 621, 1932, 2484, 269, 1284, 2965, 798, 917, 3833, 513, 2603, 827, 824, 1004, 779, 15752, 269, 1403, 649, 4769, 1406, 267, 649, 9327, 1406, 581, 2111, 547, 1174, 835, 1776, 779, 1893, 610, 1832, 689, 536, 18804, 883, 835, 1776, 593, 519, 2427, 19769, 269, 2271, 550, 687, 1205, 1031, 513, 2603, 538, 519, 1876, 1932, 269, 2271, 1549, 568, 519, 3017, 1063, 513, 12638, 543, 606, 8009, 267, 1310, 782, 563, 306, 4754, 23127, 14659, 602, 15752, 616, 538, 24207, 547, 8159, 2436, 606, 2962, 568, 4636, 610, 711, 269, 1677, 1118, 1010, 1448, 267, 646, 3217, 909, 5775, 1260, 2041, 779, 1383, 540, 519, 3017, 1063, 9810, 26645, 543, 28365, 26645, 269, 634, 1448, 540, 9810, 26645, 568, 547, 3142, 519, 2112, 547, 513, 2673, 676, 11121, 865, 1454, 9810, 538, 21127, 602, 789, 3747, 519, 2229, 647, 324, 585, 4708, 269, 634, 1448, 540, 28365, 26645, 568, 547, 6861, 2694, 540, 519, 10546, 779, 4108, 1379, 267, 971, 607, 922, 7980, 543, 4108, 3937, 563, 9172, 1260, 2041, 1185, 1767, 602, 519, 9837, 547, 10514, 21127, 568, 1018, 2306, 9810, 26645, 25432, 4636, 543, 602, 519, 9000, 540, 713, 9837, 568, 1018, 2306, 28365, 26645, 11807, 269, 2480, 534, 23127, 14659, 649, 666, 3035, 519, 1482, 1267, 1510, 13288, 547, 15752, 693, 782, 269, 3371, 779, 875, 646, 23083, 547, 798, 621, 563, 1103, 2112, 267, 835, 568, 3006, 15868, 547, 946, 16160, 543, 5732, 14686, 3196, 540, 513, 2186, 602, 1131, 7363, 581, 19275, 269, 1809, 971, 3196, 568, 15868, 1152, 950, 922, 946, 568, 1360, 2693, 547, 3142, 930, 4108, 5413, 267, 971, 607, 21006, 10546, 8396, 1218, 610, 2112, 6194, 2326, 267, 543, 621, 568, 15868, 1152, 952, 4397, 2800, 547, 1875, 18474, 520, 1218, 568, 31965, 267, 543, 1152, 952, 713, 2800, 568, 968, 2889, 1636, 1308, 892, 547, 519, 2956, 540, 519, 4108, 5413, 547, 581, 6591, 269, 630, 306, 4754, 23127, 476, 1001, 276, 267, 476, 279, 2412, 994, 1432, 779, 1271, 1934, 568, 602, 646, 3085, 1406, 946, 519, 9837, 547, 6146, 21127, 538, 5806, 3215, 1063, 11807, 543, 30849, 11318, 538, 2112, 269, 2334, 779, 519, 2856, 563, 297, 659, 984, 543, 594, 14201, 1406, 2386, 602, 713, 1131, 2965, 4341, 856, 9810, 26645, 269, 15775, 519, 824, 2427, 547, 21704, 568, 513, 4108, 5413, 267, 1310, 782, 267, 543, 621, 1522, 1134, 581, 707, 2427, 779, 1152, 4244, 269, 594, 849, 1589, 621, 1131, 581, 4277, 547, 1294, 1018, 1131, 4755, 952, 649, 3769, 513, 6240, 827, 11318, 1004, 593, 707, 1378, 2427, 269, 2334, 729, 32457, 779, 3375, 267, 1310, 782, 281, 11318, 21127, 538, 3567, 610, 11318, 1977, 7980, 676, 19280, 873, 547, 28117, 3567, 269, 630, 2026, 5775, 1260, 2041, 19595, 721, 267, 538, 713, 2013, 972, 729, 513, 513, 3791, 4244, 267, 540, 1576, 267, 799, 729, 547, 1439, 519, 2112, 593, 2474, 824, 982, 2698, 21704, 593, 3567, 779, 2427, 8094, 306, 4754, 23127, 7475, 1010, 1557, 676, 6031, 602, 8247, 568, 4143, 538, 8159, 1018, 646, 7125, 519, 968, 332, 7394, 22556, 892, 540, 606, 2962, 607, 3982, 689, 922, 968, 11279, 1170, 2225, 892, 630, 306, 4754, 23127, 476, 1001, 276, 267, 476, 279, 5655, 1040, 9122, 593, 519, 1806, 646, 3947, 267, 594, 1491, 621, 602, 519, 2856, 568, 602, 3983, 8247, 3085, 1406, 1611, 602, 596, 12582, 1406, 798, 1018, 596, 2461, 3257, 282, 621, 1797, 602, 596, 1058, 798, 621, 538, 513, 1732, 1259, 610, 609, 513, 1732, 1533, 540, 2247, 563, 3383, 267, 585, 3236, 267, 15475, 594, 1289, 1250, 513, 4979, 22516, 538, 1931, 547, 1205, 1250, 3158, 547, 3247, 562, 698, 3101, 803, 827, 621, 630, 306, 4754, 23127, 476, 1001, 276, 267, 476, 279, 6246, 1040, 1703, 779, 1945, 26843, 1934, 269, 1809, 519, 2953, 3210, 3884, 1406, 547, 711, 1289, 1250, 22516, 269, 898, 779, 547, 798, 621, 609, 513, 1732, 10182, 281, 594, 1058, 798, 621, 538, 1931, 547, 2769, 1250, 6161, 543, 1118, 1864, 1745, 1732, 267, 711, 547, 1205, 1250, 3158, 1055, 1250, 1394, 563, 20118, 267, 952, 594, 4688, 2576, 779, 1272, 538, 1931, 547, 1832, 1010, 10040, 689, 2469, 547, 606, 10546, 267, 594, 6557, 711, 1969, 532, 607, 1134, 607, 594, 1058, 630, 306, 4754, 23127, 476, 1001, 276, 267, 476, 279, 4510, 1040, 1809, 621, 779, 711, 607, 1498, 594, 1058, 1577, 519, 18560, 5884, 3079, 269, 594, 1058, 581, 1732, 12592, 982, 594, 993, 281, 594, 1058, 1616, 547, 4688, 513, 1272, 2864, 982, 838, 1746, 606, 10546, 269, 2334, 779, 519, 2856, 563, 4322, 616, 519, 2798, 596, 1058, 917, 610, 723, 606, 6644, 827, 689, 2221, 779, 1362, 563, 1692, 5775, 1260, 2041, 23607, 519, 3017, 1063, 26645, 4872, 543, 26645, 4108, 9072, 609, 19742, 25096, 563, 306, 4754, 23127, 779, 2665, 602, 3100, 547, 1397, 602, 596, 666, 798, 519, 1318, 3364, 1256, 1498, 596, 723, 3983, 15752, 563, 9172, 1260, 2041, 267, 717, 269, 661, 269, 631, 269, 476, 1001, 276, 269, 968, 16031, 269, 32457, 779, 23422, 1848, 769, 634, 17368, 517, 4985, 547, 13898, 267, 12995, 676, 717, 728, 517, 25347, 267, 5981, 1635, 337, 928, 267, 26056, 28137, 267, 543, 1530, 3570, 1744, 858, 12541, 267, 476, 279, 1789, 1700, 3607, 563, 306, 4754, 23127, 267, 7338, 631, 269, 476, 1001, 276, 269, 968, 2691, 1684, 2271, 550, 687, 17460, 547, 18983, 1170, 2225, 9495, 769, 634, 17368, 517, 4985, 547, 13898, 267, 12995, 676, 717, 728, 517, 25347, 267, 5981, 1635, 337, 928, 267, 26056, 28137, 267, 543, 1530, 3570, 1744, 858, 12541, 267, 476, 279, 4343, 1700, 4510, 269, 0, 763, 1543, 540, 713, 14266, 540, 6299, 321, 902, 568, 5631, 16922, 540, 4142, 545, 2218, 5931, 1336, 593, 6149, 14418, 588, 7062, 269, 1306, 519, 2165, 3294, 10522, 267, 14418, 834, 7723, 24069, 257, 4016, 547, 24069, 543, 5931, 20077, 883, 6149, 269, 6270, 513, 1184, 568, 513, 1360, 3978, 543, 7415, 1995, 269, 1879, 513, 2848, 548, 610, 15224, 568, 6192, 267, 519, 4142, 545, 2218, 30115, 568, 20077, 547, 2594, 519, 3355, 1184, 540, 5137, 267, 519, 4266, 267, 543, 519, 2146, 540, 14418, 20785, 267, 543, 18544, 602, 8329, 547, 519, 1818, 540, 519, 15224, 269, 4107, 11932, 267, 972, 616, 849, 519, 2043, 610, 2516, 602, 1101, 12497, 1242, 1818, 519, 15224, 269, 901, 27485, 4142, 545, 2218, 12247, 568, 606, 3355, 1900, 538, 519, 7029, 547, 519, 2259, 540, 26636, 20130, 3430, 341, 1695, 797, 269, 6270, 513, 12247, 666, 581, 1572, 606, 3355, 11428, 540, 519, 786, 269, 966, 12976, 547, 1711, 513, 14418, 12835, 607, 606, 5356, 547, 519, 17700, 8195, 20217, 519, 23314, 540, 519, 17700, 543, 7028, 585, 741, 2259, 269, 634, 1379, 713, 12247, 12958, 568, 9859, 607, 606, 5356, 2509, 519, 17700, 267, 543, 536, 3150, 16696, 519, 17700, 547, 1683, 26460, 269, 3414, 519, 12835, 267, 513, 2620, 543, 2123, 4276, 568, 1500, 1063, 519, 25058, 324, 543, 519, 17700, 269, 901, 568, 519, 2601, 1946, 649, 1289, 713, 14266, 540, 4142, 545, 2218, 5931, 968, 288, 8871, 1047, 547, 519, 17700, 3034, 763, 1543, 540, 713, 968, 23220, 1047, 547, 519, 17700, 892, 666, 581, 5258, 883, 606, 5356, 543, 513, 11755, 585, 26460, 269, 1215, 666, 2870, 606, 12835, 1831, 606, 5356, 286, 13221, 11363, 1312, 519, 15683, 543, 32154, 19799, 618, 540, 14418, 2592, 630, 845, 1532, 3672, 1070, 971, 602, 891, 2592, 1831, 967, 525, 4933, 762, 998, 27217, 4633, 269, 634, 17700, 814, 476, 3953, 29485, 543, 476, 3199, 20056, 550, 18567, 267, 3246, 13588, 609, 5667, 584, 10139, 539, 7772, 269, 634, 21951, 3587, 11617, 13816, 12089, 543, 15508, 13991, 267, 7175, 2417, 1353, 540, 519, 14418, 11202, 269, 898, 666, 581, 1767, 602, 538, 519, 6771, 540, 13221, 267, 1257, 543, 3239, 616, 8449, 12595, 269, 23883, 585, 1346, 693, 4098, 5933, 267, 519, 13156, 540, 32154, 14418, 24069, 568, 513, 30246, 547, 519, 2259, 540, 1463, 5813, 563, 289, 3291, 11297, 849, 11828, 606, 10700, 7962, 1465, 267, 602, 519, 1614, 13796, 26441, 616, 13737, 569, 9112, 538, 2247, 267, 543, 602, 519, 1106, 23073, 568, 899, 606, 21903, 269, 4935, 267, 519, 27339, 590, 19476, 10177, 2829, 267, 834, 1492, 4162, 540, 519, 1560, 3112, 581, 1031, 547, 13498, 519, 17700, 570, 987, 5953, 326, 1092, 269, 1547, 1547, 1547, 634, 4162, 540, 519, 1560, 607, 5018, 676, 519, 570, 987, 5953, 326, 1092, 616, 3976, 711, 519, 4162, 540, 519, 1560, 1701, 4746, 267, 607, 621, 568, 7150, 538, 519, 9839, 590, 19476, 10177, 267, 968, 13528, 568, 7962, 1465, 267, 7962, 1465, 568, 1106, 1848, 1717, 267, 900, 5799, 26112, 2094, 3504, 2053, 723, 2141, 1185, 513, 2620, 1702, 540, 519, 2956, 540, 2592, 269, 634, 8033, 4240, 16680, 540, 661, 2381, 550, 3933, 802, 5638, 602, 9457, 1744, 7701, 334, 630, 277, 1724, 268, 6924, 272, 264, 540, 519, 19358, 19092, 26192, 8092, 3427, 2813, 811, 982, 1614, 4627, 26306, 24436, 269, 634, 5545, 29595, 31494, 2037, 330, 19476, 630, 14321, 273, 268, 15433, 276, 264, 6170, 1034, 540, 1010, 2395, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 826, 17383, 318, 652, 5964, 31573, 4590, 3546, 1948, 631, 2033, 14765, 23313, 1714, 1609, 644, 5050, 324, 586, 320, 10460, 324, 1965, 324, 25314, 334, 1609, 5964, 454, 3546, 952, 524, 3711, 1470, 318, 652, 5964, 314, 8364, 928, 318, 652, 5964, 6012, 8364, 928, 318, 652, 5964, 6012, 273, 316, 2652, 562, 826, 17383, 318, 652, 5964, 912, 7386, 1820, 2891, 5591, 694, 533, 4240, 324, 524, 3711, 3511, 1714, 1609, 5964, 267, 586, 320, 6446, 1714, 1609, 5964, 964, 1737, 334, 1965, 6446, 1714, 586, 320, 27029, 4449, 16875, 834, 14585, 22046, 324, 620, 1609, 644, 5050, 324, 15419, 3546, 952, 524, 3711, 1470, 318, 652, 5964, 314, 8364, 928, 318, 652, 5964, 6012, 8364, 928, 318, 652, 5964, 6012, 273, 316, 11203, 562, 826, 17383, 318, 652, 5964, 912, 7386, 524, 3711, 1470, 318, 652, 5964, 314, 8364, 928, 318, 652, 5964, 6012, 8364, 928, 318, 652, 5964, 6012, 273, 316, 815, 562, 826, 17383, 318, 652, 5964, 454, 7386, 1820, 2891, 5353, 524, 3711, 328, 6759, 4794, 2399, 9461, 3512, 324, 1714, 1609, 5964, 5602, 2018, 795, 815, 3403, 2891, 291, 3150, 320, 16051, 10273, 572, 679, 1609, 324, 10624, 590, 21610, 5602, 825, 952, 10624, 2652, 1412, 273, 12466, 1038, 737, 815, 1412, 338, 7055, 1038, 1247, 737, 2652, 1412, 338, 12466, 2018, 1820, 2891, 20075, 964, 20660, 1483, 714, 541, 286, 281, 19515, 2018, 1016, 5443, 340, 10734, 1815, 553, 815, 3403, 2891, 14707, 924, 281, 1422, 333, 476, 272, 269, 21362, 549, 632, 939, 553, 1422, 333, 476, 273, 269, 5903, 541, 1609, 644, 5050, 525, 939, 15606, 5602, 2018, 952, 1016, 5443, 340, 10734, 1815, 553, 2652, 1412, 272, 12466, 3546, 1286, 6339, 318, 652, 644, 5050, 324, 815, 3403, 2891, 14707, 924, 1714, 1286, 6339, 1642, 1609, 644, 5050, 324, 6446, 964, 2465, 645, 1815, 541, 281, 19515, 3546, 1003, 10734, 29132, 815, 3403, 2891, 14707, 924, 1714, 1003, 3266, 632, 939, 320, 5330, 1304, 324, 281, 19515, 3546, 1784, 815, 3403, 2891, 21745, 924, 1714, 1784, 340, 550, 334, 513, 513, 2364, 541, 281, 19515, 3546, 585, 1286, 6339, 272, 538, 1609, 340, 912, 7386, 1286, 26506, 272, 815, 1286, 6339, 272, 269, 12399, 4590, 7386, 585, 1775, 272, 538, 1286, 26506, 272, 912, 13376, 1286, 26506, 815, 1775, 272, 454, 7386, 952, 1286, 6339, 318, 652, 644, 5050, 324, 11203, 1286, 26506, 912, 13376, 1820, 2891, 14976, 1609, 644, 5050, 324, 1100, 2291, 324, 267, 11188, 3870, 7373, 516, 5979, 5602, 7386, 952, 1286, 6339, 318, 652, 644, 5050, 324, 2652, 1286, 26506, 912, 13376, 585, 939, 553, 273, 538, 939, 553, 912, 23351, 939, 553, 273, 815, 939, 553, 269, 12399, 4590, 23351, 585, 1775, 272, 538, 939, 553, 273, 912, 4449, 3546, 939, 553, 272, 815, 1775, 272, 454, 13376, 952, 939, 553, 272, 2652, 1286, 6339, 318, 652, 644, 5050, 324, 912, 23351, 1820, 2891, 14976, 1609, 644, 5050, 324, 586, 320, 10460, 324, 19448, 939, 320, 5602, 23351, 737, 815, 3403, 2891, 291, 3150, 320, 2585, 541, 598, 1714, 10624, 632, 939, 553, 286, 590, 21610, 5602, 13376, 952, 939, 553, 272, 11203, 1286, 6339, 318, 652, 644, 5050, 324, 912, 23351, 939, 553, 291, 545, 815, 2715, 8364, 6339, 318, 652, 644, 5050, 324, 281, 314, 11133, 10734, 29132, 267, 1784, 316, 8679, 23351, 939, 553, 6910, 6357, 1815, 553, 291, 545, 994, 23351, 737, 815, 3403, 2891, 291, 3150, 320, 2585, 541, 598, 1714, 10624, 632, 939, 553, 286, 590, 21610, 5602, 2018, 952, 1016, 5443, 340, 10734, 1815, 553, 2652, 1412, 273, 12466, 3546, 585, 1775, 538, 939, 553, 912, 7386, 1820, 2891, 17442, 30458, 632, 1609, 644, 5050, 525, 939, 15606, 1965, 281, 14307, 328, 994, 7386, 737, 815, 3403, 2891, 291, 3150, 320, 2585, 541, 598, 1714, 10624, 632, 939, 553, 286, 590, 21610, 5602, 825, 1775, 815, 3403, 2891, 291, 3150, 320, 2585, 541, 286, 590, 21610, 281, 19515, 0, 5228, 25563, 8807, 1716, 564, 1104, 22513, 564, 3097, 5814, 795, 5459, 454, 5228, 31093, 1104, 1357, 323, 18182, 454, 303, 26059, 815, 834, 290, 24097, 25284, 28567, 630, 343, 10436, 9385, 577, 668, 539, 18182, 20216, 324, 5016, 454, 3698, 1039, 12774, 10031, 825, 15254, 815, 25466, 19629, 333, 2580, 17683, 8782, 583, 325, 268, 279, 5073, 825, 1948, 3478, 1883, 689, 3758, 454, 825, 1883, 18316, 815, 1930, 2891, 4486, 269, 4486, 2580, 834, 337, 321, 5602, 825, 1883, 815, 1883, 18316, 18667, 4590, 825, 535, 815, 22513, 564, 31107, 994, 825, 1883, 18316, 25379, 10797, 825, 3593, 815, 346, 8679, 825, 2119, 912, 1038, 3593, 18316, 815, 1930, 2891, 12528, 318, 16769, 12459, 5459, 2580, 834, 337, 321, 5602, 1038, 3593, 318, 1348, 815, 3593, 18316, 18667, 4590, 1038, 3593, 8217, 815, 795, 5459, 269, 2903, 338, 263, 12528, 318, 1348, 994, 1038, 3593, 18316, 25379, 4590, 825, 4849, 912, 1038, 3593, 8217, 815, 29129, 454, 258, 15775, 1239, 689, 10957, 3758, 454, 825, 2119, 912, 1038, 1780, 8217, 17342, 2639, 1038, 1780, 18316, 815, 1930, 2891, 10139, 8217, 17902, 2580, 834, 337, 321, 5602, 1038, 585, 10957, 538, 1780, 18316, 912, 2018, 1780, 318, 20657, 7973, 815, 535, 19709, 322, 7973, 9638, 817, 5320, 994, 2018, 1780, 23952, 815, 1193, 9638, 817, 318, 20657, 7973, 994, 2018, 1780, 8217, 6910, 9638, 817, 23952, 264, 672, 3097, 1038, 1780, 18316, 25379, 4590, 825, 4849, 912, 1038, 1780, 8217, 17342, 6540, 825, 1948, 3478, 3403, 689, 3593, 454, 825, 3593, 14277, 4067, 19312, 815, 3403, 2891, 10938, 2012, 540, 3896, 5602, 825, 3593, 14277, 14766, 19312, 815, 3403, 2891, 10938, 519, 29250, 540, 519, 3896, 5602, 825, 3593, 14277, 639, 20713, 19312, 815, 3403, 2891, 10938, 27024, 540, 519, 2272, 5602, 825, 1780, 17750, 815, 3403, 2891, 11767, 10957, 15419, 825, 1948, 4946, 9623, 547, 1592, 454, 825, 1780, 8217, 6910, 9638, 817, 17750, 994, 825, 3593, 8217, 6910, 263, 12528, 2020, 825, 1247, 6936, 912, 1038, 1948, 2638, 585, 27402, 454, 1038, 2638, 815, 3403, 2891, 11767, 811, 18538, 630, 344, 14672, 264, 7790, 5602, 1038, 952, 2638, 2652, 834, 333, 9899, 3097, 2018, 2736, 454, 1038, 8640, 2638, 2652, 834, 344, 9899, 3097, 2018, 3593, 815, 31460, 2018, 3593, 14277, 4067, 19312, 815, 3403, 2891, 10938, 2012, 540, 3896, 5602, 2018, 3593, 14277, 14766, 19312, 815, 3403, 2891, 10938, 519, 29250, 540, 519, 3896, 5602, 2018, 3593, 14277, 639, 20713, 19312, 815, 3403, 2891, 10938, 27024, 540, 519, 2272, 5602, 2018, 10957, 815, 3403, 2891, 292, 339, 1676, 10957, 8442, 27030, 2018, 1948, 4946, 9623, 547, 6119, 454, 2018, 1780, 8217, 6910, 9638, 817, 5320, 994, 2018, 1948, 4946, 8675, 547, 1592, 454, 2018, 3593, 8217, 6910, 263, 12528, 2020, 825, 1948, 4946, 1592, 547, 3758, 692, 825, 3593, 18316, 815, 1930, 2891, 12528, 318, 16769, 12459, 5459, 2580, 834, 342, 5602, 825, 3593, 18316, 22182, 27203, 5459, 6155, 7927, 263, 12528, 8217, 4917, 825, 3593, 18316, 25379, 10797, 825, 1948, 4946, 10957, 883, 10957, 3758, 689, 10957, 1592, 454, 825, 1780, 18316, 815, 1930, 2891, 10139, 8217, 17902, 2580, 834, 342, 321, 5602, 825, 585, 10957, 538, 2039, 12759, 9638, 817, 8217, 15892, 1038, 1780, 318, 16780, 7973, 815, 535, 269, 16780, 7973, 9638, 817, 8217, 314, 10139, 5320, 4940, 523, 13892, 15405, 1038, 1780, 18316, 22182, 9638, 817, 318, 16780, 7973, 1341, 15254, 994, 825, 1780, 18316, 25379, 10797, 19638, 3698, 10131, 318, 19986, 10031, 825, 1780, 8217, 815, 11713, 825, 6474, 6831, 3300, 815, 476, 271, 692, 825, 1948, 3478, 1883, 454, 825, 1883, 18316, 815, 1930, 2891, 4486, 269, 4486, 2580, 834, 337, 321, 5602, 825, 1883, 815, 1883, 18316, 18667, 4590, 825, 535, 815, 22513, 564, 31107, 994, 825, 1883, 18316, 25379, 10797, 825, 1948, 15775, 1239, 689, 3593, 3758, 454, 825, 2119, 912, 1038, 3593, 18316, 815, 1930, 2891, 12528, 318, 16769, 12459, 5459, 14824, 337, 321, 5602, 1038, 3593, 318, 1348, 815, 3593, 18316, 18667, 4590, 1038, 3593, 8217, 815, 795, 5459, 269, 2903, 338, 263, 12528, 318, 1348, 994, 1038, 3593, 18316, 25379, 4590, 825, 4849, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 3143, 1239, 538, 3593, 3758, 5602, 825, 1948, 15775, 1239, 689, 10957, 3758, 454, 825, 2119, 912, 1038, 1780, 18316, 815, 1930, 2891, 10139, 8217, 17902, 2580, 834, 337, 321, 5602, 1038, 585, 10957, 538, 1780, 18316, 912, 2018, 1780, 318, 20657, 7973, 815, 535, 19709, 322, 7973, 9638, 817, 5320, 994, 2018, 1780, 8217, 6910, 9638, 817, 318, 20657, 7973, 264, 672, 3097, 1038, 1780, 18316, 25379, 4590, 825, 4849, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 3143, 3758, 538, 10957, 3758, 19515, 1038, 2132, 454, 825, 2189, 8217, 815, 1305, 4590, 825, 585, 2012, 538, 2039, 12759, 263, 12528, 8217, 264, 2567, 3097, 1038, 2189, 8217, 14491, 263, 12528, 8217, 314, 4067, 6012, 257, 4067, 257, 7481, 825, 1820, 2891, 4289, 540, 7270, 1336, 538, 6119, 281, 5602, 825, 585, 6221, 538, 2189, 8217, 912, 1038, 1820, 263, 14403, 2020, 825, 1948, 3593, 3403, 3097, 825, 3593, 17750, 815, 3403, 2891, 11767, 519, 3896, 596, 1616, 547, 3406, 519, 10957, 585, 5602, 8931, 825, 1948, 3406, 585, 3896, 2012, 2147, 547, 3593, 3403, 454, 825, 585, 2012, 538, 2039, 12759, 263, 12528, 8217, 15892, 1038, 1357, 12173, 815, 3593, 8217, 314, 4067, 6012, 257, 4067, 31116, 1038, 952, 1357, 12173, 2652, 3593, 17750, 912, 2018, 6474, 6831, 3300, 6834, 272, 692, 2018, 1820, 2891, 3269, 454, 4910, 738, 31460, 11243, 281, 31460, 7838, 299, 281, 31460, 5825, 20713, 281, 31460, 27879, 5320, 281, 31460, 2018, 834, 257, 2668, 3898, 9852, 2255, 6831, 3300, 267, 12528, 8217, 314, 4067, 6012, 257, 4067, 257, 3910, 3593, 8217, 314, 4067, 6012, 257, 14766, 257, 3910, 3593, 8217, 314, 4067, 6012, 257, 639, 20713, 31116, 2018, 2073, 10139, 8217, 314, 4067, 4940, 1372, 13892, 263, 16780, 5317, 6889, 583, 325, 268, 279, 257, 4297, 9239, 8931, 825, 952, 6474, 6831, 3300, 2652, 476, 271, 281, 3097, 1038, 1820, 2891, 7224, 1267, 1336, 5602, 825, 3116, 912, 1038, 21533, 815, 3403, 2891, 25898, 596, 899, 547, 10131, 621, 286, 630, 344, 14672, 264, 5602, 1038, 952, 21533, 2652, 834, 344, 13426, 2018, 1948, 6679, 519, 3095, 6740, 538, 519, 3758, 454, 2018, 9920, 815, 1357, 323, 18182, 269, 2419, 4435, 27456, 26059, 994, 2018, 585, 1775, 538, 2039, 12759, 263, 12528, 8217, 15892, 3546, 952, 3593, 17750, 2652, 3593, 8217, 5157, 6012, 257, 4067, 257, 14158, 7386, 9920, 10947, 263, 12528, 8217, 5157, 6012, 257, 14766, 257, 7481, 2018, 1247, 6936, 912, 3546, 1780, 692, 3698, 18419, 7272, 817, 263, 2567, 3097, 825, 1948, 15254, 585, 2870, 1007, 1899, 538, 10957, 3758, 454, 825, 15254, 815, 25466, 19629, 333, 2580, 17683, 8782, 583, 325, 268, 279, 5073, 825, 1780, 8217, 815, 11713, 825, 6474, 6831, 3300, 815, 476, 271, 454, 825, 1948, 3478, 1883, 454, 825, 1883, 18316, 815, 1930, 2891, 4486, 269, 4486, 2580, 834, 337, 321, 5602, 825, 1883, 815, 1883, 18316, 18667, 4590, 825, 535, 815, 22513, 564, 31107, 994, 825, 1883, 18316, 25379, 10797, 825, 1948, 15775, 1239, 689, 3593, 3758, 454, 825, 2119, 912, 1038, 3593, 18316, 815, 1930, 2891, 12528, 318, 16769, 12459, 5459, 14824, 337, 321, 5602, 1038, 3593, 318, 1348, 815, 3593, 18316, 18667, 4590, 1038, 3593, 8217, 815, 795, 5459, 269, 2903, 338, 263, 12528, 318, 1348, 994, 1038, 3593, 18316, 25379, 4590, 825, 4849, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 3143, 1239, 538, 3593, 3758, 5602, 1038, 2132, 454, 825, 1948, 15775, 1239, 689, 10957, 3758, 454, 825, 2119, 912, 1038, 1780, 18316, 815, 1930, 2891, 10139, 8217, 17902, 2580, 834, 337, 321, 5602, 1038, 585, 10957, 538, 1780, 18316, 912, 2018, 1780, 318, 20657, 7973, 815, 535, 19709, 322, 7973, 9638, 817, 5320, 994, 2018, 1780, 23952, 815, 1780, 318, 20657, 7973, 19709, 13892, 263, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 2018, 1780, 8217, 6910, 9638, 817, 23952, 264, 672, 3097, 1038, 1780, 18316, 25379, 4590, 825, 4849, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 3143, 3758, 538, 10957, 3758, 19515, 1038, 2132, 22562, 825, 1948, 1689, 519, 2189, 1592, 547, 1305, 547, 4894, 1022, 5918, 27289, 454, 825, 2189, 8217, 815, 1305, 10797, 825, 585, 2012, 538, 2039, 12759, 263, 12528, 8217, 264, 2567, 3097, 1038, 2189, 8217, 14491, 263, 12528, 8217, 314, 4067, 6012, 257, 4067, 257, 7481, 825, 1820, 2891, 4289, 540, 7270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5356, 2009, 2208, 3255, 2147, 547, 1367, 13632, 269, 3807, 3314, 602, 782, 9541, 2097, 609, 1981, 267, 1818, 6297, 7156, 1898, 1354, 11362, 883, 1022, 2883, 4316, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 283, 320, 27430, 284, 10674, 2517, 12895, 1017, 529, 736, 16936, 2593, 270, 285, 1017, 529, 476, 276, 16936, 9572, 320, 285, 634, 5868, 729, 16607, 1813, 547, 7634, 585, 594, 9720, 267, 855, 513, 960, 1575, 1535, 18422, 543, 7766, 11632, 4951, 606, 5580, 18751, 18657, 770, 1400, 2527, 14178, 883, 519, 2451, 30085, 454, 283, 320, 27430, 284, 10674, 2517, 12895, 1017, 529, 736, 16936, 2593, 270, 285, 1017, 529, 476, 276, 16936, 9572, 320, 285, 634, 5868, 729, 16607, 1813, 547, 7634, 585, 594, 9720, 267, 855, 513, 960, 1575, 1535, 18422, 543, 7766, 11632, 4951, 606, 5580, 18751, 18657, 770, 1400, 2527, 14178, 883, 519, 2451, 30085, 454, 283, 320, 27430, 284, 10674, 2517, 12895, 1017, 529, 736, 16936, 2593, 270, 285, 1017, 529, 476, 276, 16936, 9572, 320, 285, 634, 5868, 729, 16607, 1813, 547, 7634, 585, 594, 9720, 267, 855, 513, 960, 1575, 1535, 18422, 543, 7766, 11632, 4951, 606, 5580, 18751, 18657, 770, 1400, 2527, 14178, 883, 519, 2451, 30085, 454, 283, 320, 27430, 284, 10674, 2517, 12895, 1017, 529, 736, 16936, 2593, 270, 285, 1017, 529, 476, 276, 16936, 9572, 320, 285, 634, 5868, 729, 16607, 1813, 547, 7634, 585, 594, 9720, 267, 855, 513, 960, 1575, 1535, 18422, 543, 7766, 11632, 4951, 606, 5580, 18751, 18657, 770, 1400, 2527, 14178, 883, 519, 2451, 30085, 454, 26020, 7044, 4179, 2517, 1602, 333, 14870, 16282, 2389, 4209, 11859, 344, 345, 910, 1863, 1769, 2960, 27127, 454, 26020, 7044, 4179, 2517, 1602, 333, 14870, 16282, 2389, 4209, 11859, 344, 345, 910, 1863, 1769, 2960, 27127, 454, 26020, 7044, 5291, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3519, 3200, 1043, 645, 4637, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 7767, 906, 1299, 1530, 15247, 1315, 645, 4637, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 13245, 17716, 543, 519, 1234, 20287, 540, 12358, 1588, 692, 1103, 938, 3408, 540, 4638, 6057, 543, 2635, 3347, 267, 621, 781, 1898, 547, 1174, 519, 1909, 540, 1379, 6384, 543, 875, 789, 1764, 519, 2081, 649, 9305, 547, 835, 1776, 269, 3776, 3105, 3184, 1642, 1386, 883, 9844, 543, 2792, 607, 13654, 2609, 540, 1022, 2078, 282, 713, 3184, 786, 1628, 2390, 1346, 2093, 676, 10962, 519, 1523, 540, 606, 8944, 607, 513, 5943, 585, 2870, 552, 6549, 9107, 4296, 269, 1635, 6313, 28974, 3889, 543, 741, 8925, 267, 649, 2832, 547, 7668, 1762, 4079, 547, 6536, 8902, 3347, 1759, 593, 8994, 2463, 543, 7862, 780, 763, 19088, 540, 8191, 9107, 23113, 692, 5978, 2486, 1419, 25040, 21712, 1949, 1141, 1978, 2043, 3180, 811, 1379, 982, 1866, 269, 1452, 28974, 3889, 8915, 2933, 538, 1585, 3344, 540, 1272, 267, 1519, 1920, 4559, 267, 28737, 267, 3872, 5238, 267, 543, 3909, 3906, 269, 2755, 891, 24284, 949, 3100, 2556, 585, 4509, 1931, 267, 789, 4749, 1267, 538, 12604, 2331, 3347, 6353, 676, 17282, 543, 19169, 780, 291, 7631, 1807, 5288, 269, 26844, 17738, 692, 305, 1014, 324, 661, 529, 2401, 267, 513, 2686, 14787, 267, 5189, 519, 2856, 540, 6848, 12417, 12270, 883, 1079, 6688, 281, 2531, 13541, 3631, 543, 11450, 3631, 630, 292, 529, 2401, 267, 476, 1220, 278, 1040, 18067, 2209, 7239, 4183, 14461, 31213, 267, 609, 1346, 693, 519, 1283, 11851, 532, 1852, 998, 3196, 543, 12879, 269, 17957, 267, 11450, 7239, 11168, 5698, 267, 6568, 267, 543, 3160, 7589, 1851, 2818, 269, 16792, 713, 5943, 547, 14375, 3347, 2636, 721, 547, 6218, 2436, 938, 4296, 5447, 811, 5702, 609, 2531, 13541, 610, 11450, 16431, 780, 8139, 1323, 1105, 1143, 692, 4263, 922, 4295, 267, 29450, 1143, 6763, 585, 519, 20552, 540, 24407, 1881, 15796, 543, 28735, 630, 5472, 523, 267, 476, 1001, 279, 1040, 5502, 540, 20170, 547, 24441, 5107, 1369, 26568, 1949, 267, 29450, 1235, 12167, 585, 1582, 3766, 4261, 766, 543, 17319, 7681, 269, 1306, 971, 267, 29450, 1143, 2488, 3407, 4030, 883, 2679, 931, 839, 783, 543, 12581, 3347, 1863, 689, 28170, 542, 543, 12879, 780, 7659, 14362, 540, 1323, 1105, 2065, 17716, 692, 272, 269, 23688, 783, 5351, 910, 13298, 982, 13156, 3347, 607, 6223, 1308, 15377, 267, 4891, 1058, 9784, 25262, 640, 543, 3838, 5539, 269, 5637, 6105, 3565, 2687, 547, 741, 5759, 1247, 8391, 1489, 950, 2877, 563, 273, 269, 6034, 2962, 910, 15706, 1590, 1491, 5279, 540, 741, 2729, 3079, 540, 13461, 593, 5007, 8128, 547, 4194, 2042, 269, 25085, 618, 14340, 689, 2123, 8116, 543, 3375, 6194, 563, 274, 269, 21816, 776, 7681, 910, 4658, 1058, 4497, 538, 3347, 856, 540, 9758, 7287, 2864, 982, 17185, 610, 2604, 269, 3117, 550, 3788, 14063, 538, 782, 4205, 563, 275, 269, 7600, 1664, 540, 24648, 527, 1493, 6392, 910, 7726, 532, 1379, 3889, 6087, 2043, 547, 5431, 543, 24905, 548, 5739, 3029, 540, 28735, 269, 1635, 4101, 2757, 8155, 267, 4891, 11349, 552, 6549, 9107, 7554, 563, 276, 269, 7991, 6278, 910, 8490, 17604, 5121, 11942, 6043, 543, 7104, 2208, 269, 3414, 9316, 543, 8994, 1489, 267, 2950, 666, 4161, 8789, 6386, 543, 3895, 1514, 1689, 780, 28274, 1323, 1105, 1143, 547, 7073, 25441, 9177, 692, 17457, 6580, 2528, 1419, 19141, 7082, 1143, 267, 13296, 1004, 12796, 1518, 1761, 4891, 543, 3343, 8216, 11815, 2305, 630, 26469, 267, 476, 1001, 280, 1040, 22685, 1154, 606, 29450, 2065, 1935, 2591, 891, 3270, 676, 8716, 8076, 4276, 267, 1930, 2792, 267, 543, 10319, 3375, 6194, 269, 1280, 1383, 267, 3079, 540, 1780, 1947, 16561, 4008, 11475, 267, 15185, 1522, 8362, 21907, 7622, 9021, 1759, 593, 1367, 7375, 543, 1983, 269, 6684, 267, 5717, 1472, 3023, 1223, 1445, 593, 12257, 267, 3106, 267, 543, 25981, 9844, 2864, 982, 2773, 6788, 13684, 676, 30013, 4441, 780, 29936, 543, 7799, 14591, 692, 25363, 13586, 29450, 2065, 3741, 538, 3347, 3340, 9639, 267, 11428, 267, 543, 6024, 1565, 269, 2368, 1455, 9465, 1331, 4835, 1242, 28639, 267, 4250, 540, 13438, 267, 543, 6848, 14555, 602, 3339, 3278, 8635, 269, 1677, 7753, 891, 7496, 267, 4891, 1590, 3479, 547, 5571, 8086, 267, 2069, 267, 543, 5188, 269, 3958, 267, 9301, 602, 29450, 1143, 3085, 1405, 17538, 6207, 5191, 689, 3652, 610, 6302, 568, 4105, 269, 13068, 4808, 543, 7687, 1869, 2291, 1369, 29450, 2065, 3347, 267, 855, 789, 10836, 1418, 1227, 689, 13618, 543, 19908, 2864, 982, 1373, 608, 27238, 13684, 780, 6962, 692, 3528, 8508, 29450, 2065, 2418, 267, 1762, 4079, 666, 11349, 8902, 3347, 16135, 538, 9698, 267, 13190, 267, 543, 8994, 2463, 269, 5668, 27701, 28974, 3889, 543, 14957, 585, 1582, 3766, 4261, 766, 16877, 2043, 547, 1711, 6209, 4296, 1863, 689, 28735, 543, 1016, 24503, 566, 269, 11086, 267, 713, 17565, 6521, 3091, 4126, 585, 13321, 1312, 15982, 3347, 543, 6626, 6848, 21437, 2509, 11450, 3631, 602, 8661, 4763, 267, 13784, 267, 543, 3838, 13884, 780, 27066, 692, 5472, 523, 267, 667, 269, 630, 1001, 279, 1040, 1323, 1105, 1143, 693, 519, 1439, 540, 519, 1158, 269, 8158, 689, 2999, 10059, 2517, 4178, 269, 14706, 268, 9248, 14492, 270, 4565, 9233, 270, 14706, 270, 534, 1105, 1143, 27408, 7308, 15134, 6361, 7308, 8996, 285, 692, 292, 529, 2401, 267, 681, 269, 630, 1220, 278, 1040, 634, 7464, 32100, 540, 8315, 281, 12861, 513, 595, 2130, 13188, 269, 7137, 21884, 11860, 4141, 327, 2401, 23255, 780, 26469, 267, 595, 269, 630, 1001, 280, 1040, 1215, 2413, 15832, 2968, 513, 7082, 1434, 269, 18917, 4518, 5158, 269, 8158, 689, 4179, 2517, 4178, 269, 6277, 322, 2593, 270, 1740, 5158, 270, 14835, 270, 1001, 3445, 278, 2190, 24376, 21524, 1716, 268, 668, 766, 1532, 1815, 877, 8584, 15926, 10179, 3766, 797, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 1257, 29746, 593, 11023, 1066, 19395, 454, 2304, 1105, 1143, 693, 519, 7736, 540, 519, 2622, 676, 11023, 1066, 19395, 454, 2304, 4985, 547, 519, 2382, 3307, 602, 654, 517, 1406, 3619, 589, 3118, 454, 1015, 628, 5412, 476, 1001, 279, 454, 8072, 4517, 1631, 649, 3580, 7485, 1524, 1169, 2582, 5469, 267, 543, 1169, 2582, 6978, 540, 6371, 4927, 581, 4847, 547, 1332, 607, 621, 15055, 547, 10200, 10965, 18860, 7219, 563, 2304, 1105, 1143, 568, 519, 1152, 1259, 540, 1272, 602, 814, 2479, 5249, 610, 2479, 666, 269, 898, 568, 519, 1152, 4890, 4244, 547, 519, 29660, 17038, 1181, 2510, 540, 519, 2451, 543, 1318, 267, 540, 27277, 543, 533, 612, 574, 1143, 267, 543, 1256, 540, 519, 1143, 543, 19473, 1143, 269, 2334, 1373, 865, 596, 1131, 2503, 621, 547, 581, 4922, 16053, 267, 28457, 539, 543, 29144, 267, 1256, 676, 22194, 29450, 1235, 563, 1432, 568, 1323, 1105, 1143, 888, 2304, 1105, 1143, 568, 519, 18349, 540, 28735, 269, 769, 606, 29450, 626, 2486, 2443, 799, 1797, 540, 1576, 538, 519, 29450, 626, 9887, 2443, 18864, 568, 13856, 676, 4896, 610, 4376, 3116, 269, 901, 1281, 711, 1611, 267, 607, 649, 4927, 1294, 267, 602, 972, 568, 1100, 6392, 15301, 1548, 29450, 1143, 7947, 338, 568, 6392, 609, 519, 1379, 547, 1852, 610, 1071, 518, 576, 519, 1367, 1996, 1200, 786, 563, 2467, 616, 1079, 2629, 17756, 269, 634, 1101, 1775, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30144, 17716, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 20351, 18816, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 543, 1419, 31341, 6681, 1686, 540, 12907, 998, 519, 7828, 540, 4655, 543, 13137, 267, 3226, 607, 621, 25701, 547, 922, 4205, 609, 15231, 6082, 267, 11031, 267, 13164, 267, 543, 2950, 269, 1284, 786, 2263, 875, 3140, 2621, 723, 8032, 4207, 12907, 543, 5483, 922, 3347, 609, 824, 2477, 269, 1635, 6313, 1883, 5712, 538, 21977, 1686, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 519, 6946, 6384, 602, 20690, 19525, 267, 30724, 2940, 640, 267, 4187, 267, 543, 1582, 24148, 780, 1262, 296, 269, 1262, 2878, 7468, 1550, 569, 16527, 540, 19109, 23186, 15570, 262, 543, 519, 10988, 760, 1275, 540, 8895, 545, 807, 13305, 565, 1506, 11844, 630, 322, 269, 476, 6434, 273, 1107, 524, 269, 476, 16328, 280, 21143, 763, 8129, 540, 12907, 666, 581, 14360, 1394, 547, 519, 10661, 540, 519, 3532, 1533, 540, 19109, 23186, 15570, 3299, 799, 7153, 1472, 476, 6434, 273, 9460, 896, 519, 4341, 540, 13584, 744, 5586, 269, 2311, 922, 4463, 267, 19109, 23186, 15570, 262, 21401, 2066, 1459, 6377, 5617, 22654, 267, 6576, 267, 543, 12907, 267, 5807, 513, 3838, 2686, 543, 2797, 6561, 1851, 891, 5101, 23577, 545, 9082, 269, 4762, 26555, 1063, 19036, 569, 1249, 687, 941, 28125, 267, 28285, 538, 519, 14042, 27245, 12289, 540, 476, 14862, 271, 3366, 676, 15506, 340, 16679, 267, 1178, 2738, 517, 540, 2637, 724, 529, 16679, 269, 634, 21246, 1275, 7930, 30477, 3603, 267, 4758, 4473, 547, 24288, 2829, 971, 607, 519, 10988, 760, 1275, 540, 8895, 545, 807, 13305, 565, 1506, 11844, 269, 901, 1007, 11769, 5185, 3875, 4108, 2591, 267, 1519, 32042, 689, 519, 13642, 670, 867, 324, 267, 4835, 1379, 9620, 267, 543, 6735, 609, 9750, 14470, 543, 23826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5339, 2079, 1557, 568, 513, 1880, 1603, 7084, 799, 1022, 16159, 814, 547, 2347, 538, 1153, 267, 12200, 267, 6280, 607, 513, 1267, 540, 2542, 267, 1620, 543, 7421, 519, 5931, 616, 519, 538, 531, 1329, 762, 2798, 540, 519, 2866, 1576, 540, 269, 634, 10700, 15244, 540, 519, 3932, 666, 1175, 607, 3927, 9784, 513, 4357, 6644, 593, 519, 5339, 960, 20483, 5346, 676, 930, 5007, 2959, 269, 2107, 267, 596, 3580, 581, 2111, 547, 8806, 979, 609, 1776, 10839, 602, 1058, 8399, 519, 835, 596, 1031, 1369, 519, 4367, 543, 11168, 593, 519, 9838, 2219, 269, 898, 779, 1898, 581, 2312, 543, 13801, 538, 707, 3932, 2094, 596, 798, 711, 6999, 547, 4734, 519, 12705, 602, 596, 3274, 1869, 1185, 1945, 3063, 547, 2161, 563, 3412, 9712, 622, 12697, 769, 1557, 3732, 1107, 2368, 32438, 454, 7197, 1419, 267, 621, 814, 606, 2832, 547, 2333, 5467, 779, 1620, 540, 606, 2376, 779, 5098, 543, 519, 9115, 269, 589, 1898, 6268, 2376, 1603, 568, 16148, 607, 513, 1267, 540, 621, 20475, 2278, 779, 6644, 267, 6268, 610, 6268, 540, 513, 2016, 21849, 1543, 269, 1677, 581, 2111, 547, 13498, 602, 596, 616, 2324, 609, 513, 4105, 2079, 267, 596, 723, 547, 1832, 538, 2247, 602, 6268, 1797, 8840, 1524, 543, 4466, 856, 540, 519, 3334, 269, 1306, 2907, 14437, 827, 267, 972, 1223, 581, 1082, 5686, 540, 4930, 547, 5659, 269, 898, 779, 1271, 547, 1174, 1018, 1826, 540, 606, 2376, 596, 616, 2469, 547, 960, 609, 267, 865, 596, 666, 2285, 596, 513, 1697, 3159, 543, 3898, 540, 707, 2104, 1557, 563, 2791, 1034, 2693, 786, 711, 581, 2111, 547, 1451, 4625, 782, 519, 1919, 602, 814, 1044, 2854, 593, 519, 1888, 1107, 596, 3580, 723, 547, 9794, 799, 2959, 616, 1034, 4143, 547, 707, 2055, 269, 16294, 519, 1292, 2093, 540, 513, 1344, 1867, 610, 513, 1382, 4760, 2376, 547, 2697, 519, 17082, 779, 5098, 563, 10932, 532, 267, 4974, 267, 543, 1603, 1568, 540, 5339, 9880, 786, 5512, 596, 547, 547, 1118, 1732, 2631, 540, 519, 960, 267, 2186, 21520, 827, 3332, 267, 1353, 2093, 689, 1114, 2798, 540, 2070, 267, 543, 6430, 593, 513, 1268, 3942, 2436, 513, 5339, 960, 568, 4502, 2542, 563, 8269, 1371, 2898, 1895, 269, 12833, 924, 2852, 1053, 602, 786, 948, 596, 2594, 519, 2694, 540, 519, 6169, 9433, 593, 519, 16520, 4828, 19671, 5750, 269, 16418, 5796, 689, 16520, 4828, 19671, 5750, 630, 27349, 267, 585, 14357, 4704, 264, 607, 4105, 269, 5269, 4967, 827, 5339, 4559, 519, 5856, 2306, 946, 540, 267, 28330, 547, 27461, 1893, 267, 602, 9305, 547, 707, 13214, 269, 9105, 707, 1582, 538, 14621, 547, 519, 2239, 2409, 267, 971, 1317, 519, 1448, 540, 2070, 267, 543, 1946, 519, 17082, 1131, 946, 891, 2994, 547, 5730, 891, 2093, 563, 4462, 1260, 6088, 15733, 1280, 1557, 3732, 1107, 1548, 779, 22490, 454, 18698, 27284, 31834, 1280, 1557, 5439, 454, 16240, 10749, 3217, 596, 555, 745, 519, 3003, 1557, 1603, 1184, 1107, 689, 8600, 543, 4058, 547, 12032, 269, 5675, 3594, 568, 11295, 24482, 543, 594, 899, 547, 4363, 602, 596, 1175, 946, 621, 538, 713, 1935, 269, 16480, 267, 596, 786, 1294, 689, 519, 2427, 8663, 602, 519, 3391, 568, 8237, 883, 513, 2603, 540, 9030, 6810, 269, 8437, 593, 593, 1022, 6157, 835, 540, 891, 543, 596, 786, 1294, 602, 621, 779, 5258, 883, 10156, 6810, 610, 1016, 21827, 269, 1924, 596, 666, 1312, 1224, 621, 2786, 3842, 689, 1376, 547, 9096, 610, 596, 7654, 666, 979, 2786, 547, 519, 7706, 602, 568, 1034, 1644, 547, 596, 563, 20058, 547, 1174, 1548, 513, 16520, 16214, 4828, 1797, 267, 621, 568, 513, 1505, 547, 6430, 543, 13498, 519, 960, 540, 606, 2278, 267, 1256, 952, 621, 779, 513, 2582, 960, 610, 513, 2898, 1560, 540, 960, 269, 16520, 9880, 568, 513, 6609, 267, 6268, 267, 2079, 267, 610, 7664, 540, 513, 5697, 5339, 960, 610, 606, 2278, 779, 12591, 607, 513, 2347, 563, 4407, 930, 949, 8044, 519, 14496, 540, 513, 5339, 2079, 267, 1620, 1451, 875, 547, 5265, 2328, 835, 711, 1152, 2337, 547, 32260, 707, 2629, 6236, 5759, 267, 855, 849, 13071, 596, 2328, 3063, 1843, 1947, 269, 4855, 513, 5339, 1557, 3932, 1383, 585, 519, 4704, 563, 2791, 949, 17412, 519, 3877, 540, 707, 5339, 1557, 538, 519, 3932, 950, 1603, 513, 3332, 2079, 269, 898, 779, 1271, 547, 17492, 513, 5618, 267, 855, 2178, 3932, 547, 7794, 519, 10700, 12705, 540, 707, 1557, 269, 2659, 3932, 12582, 1406, 17663, 1022, 1007, 1344, 540, 6898, 267, 9003, 513, 7493, 540, 707, 2123, 7835, 269, 898, 568, 1898, 547, 2709, 513, 2631, 540, 12032, 547, 3988, 676, 1964, 908, 519, 5098, 1310, 799, 4946, 513, 2110, 6609, 540, 707, 7440, 543, 1175, 5874, 563, 273, 269, 21964, 606, 23494, 21678, 3159, 610, 1964, 919, 3409, 21230, 982, 7421, 269, 1912, 29320, 2147, 547, 602, 568, 28457, 748, 892, 610, 3025, 666, 3858, 602, 713, 18327, 630, 15640, 538, 5098, 1318, 1934, 264, 892, 3247, 519, 5467, 689, 7487, 519, 10347, 4644, 540, 519, 6169, 596, 723, 6074, 543, 3006, 1118, 513, 5467, 2731, 1745, 519, 1603, 568, 1932, 21678, 563, 5141, 846, 2542, 3622, 4667, 899, 936, 12845, 3315, 4506, 267, 855, 1810, 1406, 581, 7255, 269, 19171, 2542, 568, 513, 1797, 540, 4466, 607, 1454, 9623, 607, 596, 666, 538, 1931, 547, 2186, 607, 1082, 2055, 607, 596, 666, 269, 1879, 621, 779, 942, 547, 2328, 707, 1957, 543, 6101, 1125, 707, 9505, 4974, 267, 596, 786, 4990, 676, 1259, 540, 707, 960, 547, 3313, 1018, 779, 1034, 20310, 543, 5363, 547, 519, 4661, 596, 4126, 547, 1118, 543, 267, 598, 14287, 267, 1018, 5654, 799, 540, 891, 1655, 6257, 544, 3464, 269, 554, 1446, 538, 968, 320, 21139, 540, 1200, 9905, 9495, 899, 513, 12701, 269, 901, 3391, 4337, 1149, 596, 616, 9361, 1318, 1524, 547, 1451, 513, 1257, 585, 519, 3119, 942, 593, 707, 3070, 547, 2870, 606, 4661, 513, 7008, 540, 21849, 1543, 543, 1603, 513, 1957, 269, 1677, 1683, 835, 3236, 540, 875, 547, 798, 713, 267, 649, 786, 1224, 519, 6648, 5071, 892, 676, 4583, 1977, 10564, 7917, 29778, 543, 7390, 547, 476, 275, 1292, 2694, 540, 5339, 5931, 281, 1888, 267, 2186, 267, 2262, 3903, 630, 323, 2109, 1070, 543, 6249, 269, 0, 1607, 1505, 23403, 519, 5934, 4170, 543, 8047, 2409, 585, 519, 2079, 540, 476, 3445, 306, 337, 538, 11159, 610, 1979, 7974, 5439, 269, 898, 3947, 513, 6609, 540, 519, 10237, 12950, 3268, 585, 3067, 2305, 540, 1193, 2632, 1756, 476, 3445, 676, 3154, 14354, 4831, 563, 3445, 306, 337, 568, 6027, 538, 519, 5439, 540, 519, 1604, 676, 16061, 10203, 540, 922, 13956, 656, 454, 3445, 312, 267, 609, 513, 14354, 4831, 269, 634, 5650, 3340, 1991, 10237, 17190, 547, 1349, 476, 3445, 306, 337, 689, 519, 3732, 543, 5094, 621, 689, 476, 3445, 312, 7620, 1459, 269, 634, 6482, 568, 5645, 856, 1310, 827, 476, 1691, 2395, 267, 1310, 799, 586, 1777, 8922, 476, 3445, 568, 693, 16712, 11466, 609, 1193, 2632, 1756, 476, 3445, 563, 347, 8698, 1234, 10360, 630, 23486, 31206, 0, 288, 26894, 25165, 268, 27956, 571, 329, 784, 3529, 454, 296, 917, 519, 27956, 571, 329, 784, 630, 24154, 16408, 577, 527, 517, 17069, 928, 639, 264, 607, 513, 3529, 602, 786, 1332, 3592, 9170, 267, 1390, 585, 12094, 543, 1390, 547, 2759, 1524, 519, 16714, 270, 3916, 2125, 585, 12418, 3049, 538, 513, 10980, 269, 1358, 723, 1831, 2442, 607, 4677, 19494, 4054, 1317, 789, 616, 25836, 543, 24972, 2159, 584, 1235, 723, 10316, 2213, 713, 3529, 547, 3132, 10875, 1007, 8677, 269, 901, 3529, 814, 849, 1044, 5189, 883, 824, 2477, 267, 865, 596, 949, 581, 5432, 563, 307, 5281, 856, 938, 3689, 8315, 1004, 941, 593, 547, 519, 824, 3096, 540, 713, 3529, 5215, 540, 1296, 3516, 269, 634, 5452, 616, 1360, 14312, 267, 827, 476, 1240, 260, 2889, 12888, 543, 476, 1839, 260, 3170, 267, 609, 513, 1164, 1543, 540, 13058, 543, 13101, 269, 1703, 616, 6263, 8886, 908, 24827, 538, 519, 6079, 10540, 1472, 519, 5452, 602, 723, 547, 581, 6569, 269, 2991, 602, 1498, 789, 666, 581, 13881, 6151, 610, 28777, 609, 513, 16990, 2428, 1399, 30993, 269, 4033, 3096, 267, 1216, 1223, 581, 5833, 689, 519, 5072, 676, 19309, 513, 8559, 543, 17065, 4506, 269, 634, 2571, 29008, 344, 3574, 729, 1031, 585, 1818, 695, 3658, 543, 519, 13626, 607, 513, 20249, 585, 1000, 710, 610, 10068, 3515, 563, 296, 2219, 594, 1522, 2022, 476, 272, 610, 476, 273, 1114, 8241, 5065, 2371, 1142, 3018, 269, 898, 1223, 581, 4277, 585, 1866, 593, 519, 8468, 1341, 594, 6557, 1565, 646, 2355, 607, 1134, 563, 268, 2353, 595, 20975, 454, 268, 476, 3374, 3776, 13571, 623, 25403, 8080, 256, 630, 8923, 3367, 6969, 5403, 532, 994, 268, 476, 2767, 13823, 2388, 1299, 16323, 4149, 24594, 9181, 687, 454, 268, 476, 28307, 12409, 19662, 1299, 8249, 454, 268, 476, 29121, 7351, 15638, 1299, 27915, 5240, 454, 268, 476, 5392, 17073, 270, 11514, 2120, 16721, 1563, 1145, 1299, 22990, 3050, 454, 268, 476, 272, 269, 275, 298, 3776, 12567, 281, 19663, 5253, 454, 268, 476, 272, 269, 278, 298, 3776, 7442, 6139, 322, 776, 281, 7849, 1299, 5851, 6925, 454, 268, 476, 276, 1626, 634, 7982, 476, 2412, 281, 10960, 26036, 7171, 787, 1299, 28610, 532, 454, 268, 476, 2412, 634, 17312, 281, 8187, 10794, 543, 27834, 454, 268, 476, 30019, 3776, 28881, 7305, 281, 5253, 16721, 454, 268, 476, 31256, 634, 13067, 652, 1737, 281, 18789, 454, 268, 476, 272, 269, 273, 298, 9608, 4260, 11594, 454, 268, 476, 11793, 634, 4937, 15188, 281, 590, 749, 267, 16179, 267, 1299, 4446, 614, 0, 290, 787, 11561, 4932, 17269, 7232, 5357, 3041, 1631, 21697, 519, 1689, 540, 519, 1158, 779, 22260, 2336, 10908, 659, 4536, 1472, 519, 1158, 616, 13621, 5488, 982, 2479, 269, 2290, 1259, 547, 7747, 891, 4028, 2242, 616, 519, 30673, 595, 787, 11561, 4932, 17269, 661, 5357, 3041, 630, 292, 4582, 566, 3683, 8092, 10979, 689, 4210, 987, 264, 2472, 267, 799, 17908, 595, 787, 24382, 520, 779, 590, 2752, 1103, 7154, 543, 519, 3209, 2220, 987, 4393, 4480, 630, 294, 712, 17745, 523, 1696, 620, 1421, 476, 1001, 279, 264, 547, 1683, 2799, 8901, 543, 13796, 1239, 3795, 936, 2244, 4672, 269, 634, 9241, 5950, 595, 787, 11561, 4932, 17269, 661, 5357, 3041, 5178, 5202, 476, 273, 4528, 568, 1631, 4628, 1394, 9268, 609, 5621, 574, 4479, 1239, 2139, 585, 519, 2063, 476, 1724, 1296, 269, 5178, 5202, 476, 273, 19646, 513, 1713, 6454, 936, 519, 2472, 3105, 4528, 269, 634, 2101, 9337, 2705, 568, 602, 661, 5357, 3041, 1631, 849, 6227, 519, 1158, 779, 22260, 630, 297, 752, 984, 1299, 717, 712, 17745, 523, 267, 476, 1708, 274, 282, 7137, 628, 1512, 1696, 620, 1421, 476, 1708, 274, 1070, 2495, 649, 666, 1631, 7747, 22260, 685, 7180, 693, 1256, 2362, 1469, 982, 1354, 563, 2080, 649, 723, 513, 1413, 693, 513, 5542, 540, 22260, 2066, 519, 1158, 543, 1397, 875, 789, 616, 9228, 676, 519, 595, 787, 11561, 4932, 17269, 661, 5357, 3041, 10471, 269, 3245, 519, 5794, 344, 1700, 305, 582, 345, 1700, 306, 11839, 1700, 293, 548, 2719, 27224, 1062, 593, 519, 21303, 18686, 267, 547, 590, 6403, 32244, 340, 329, 7238, 330, 1638, 543, 4787, 10762, 5451, 337, 329, 7238, 330, 1638, 22260, 593, 966, 520, 333, 1690, 7238, 330, 1638, 4672, 1698, 538, 19360, 267, 543, 6368, 519, 9142, 540, 3163, 10979, 7167, 6739, 11848, 282, 27224, 7180, 568, 1950, 267, 607, 789, 666, 4159, 1360, 1114, 6114, 547, 513, 4657, 1604, 563, 21080, 344, 1700, 305, 582, 345, 1700, 306, 11839, 1700, 293, 548, 2719, 27224, 1062, 593, 519, 21303, 18686, 454, 2750, 6984, 17752, 22260, 593, 519, 4672, 9212, 267, 590, 11839, 27224, 593, 519, 21303, 18686, 568, 519, 1158, 779, 4102, 27224, 676, 1858, 267, 7893, 936, 476, 278, 267, 1822, 4009, 21240, 630, 20360, 333, 698, 601, 1696, 620, 269, 476, 1708, 274, 1040, 634, 12900, 540, 519, 6478, 773, 10979, 17125, 325, 9648, 1063, 476, 3422, 277, 543, 476, 2735, 280, 543, 922, 2530, 540, 12765, 7675, 3366, 547, 513, 1279, 3856, 6422, 16369, 543, 30034, 540, 519, 27224, 630, 305, 793, 582, 1696, 620, 269, 476, 1220, 276, 1040, 634, 28882, 2990, 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 ]
[ 789, 4865, 7850, 2542, 267, 1603, 267, 543, 12980, 1983, 269, 3509, 3937, 4308, 619, 2308, 1053, 851, 942, 543, 1282, 519, 4832, 547, 948, 27043, 1007, 3937, 543, 1685, 5634, 18203, 269, 6435, 995, 1164, 1153, 6030, 1331, 1507, 2599, 7816, 267, 18914, 11707, 267, 2257, 267, 543, 1870, 12980, 563, 15447, 1578, 540, 2596, 11418, 568, 1898, 585, 1507, 2599, 11707, 269, 18329, 3334, 1852, 2599, 2773, 267, 6293, 10525, 267, 543, 513, 3099, 540, 824, 3252, 540, 5179, 31260, 267, 5179, 2692, 1846, 267, 543, 9205, 1379, 3937, 269, 1677, 5431, 543, 4368, 1761, 2042, 267, 11707, 1058, 581, 5432, 609, 519, 2596, 3741, 540, 11418, 563, 763, 1034, 1271, 960, 22590, 540, 11707, 616, 741, 1688, 2645, 269, 23317, 2356, 1683, 741, 1378, 2645, 543, 1082, 4810, 11707, 723, 16539, 5215, 540, 9489, 538, 873, 269, 14146, 619, 3335, 29939, 7199, 4073, 1068, 8962, 267, 2780, 1242, 2599, 2555, 345, 619, 267, 543, 824, 10368, 3937, 267, 855, 11707, 18645, 1688, 2645, 609, 1995, 563, 763, 1983, 1031, 607, 513, 1507, 2599, 2964, 545, 3622, 4483, 547, 824, 23909, 971, 607, 18914, 267, 17088, 267, 610, 5230, 6174, 543, 5985, 3937, 11707, 269, 5438, 27624, 11707, 609, 5718, 2702, 949, 4434, 547, 6300, 28643, 610, 3028, 9614, 6009, 269, 23317, 609, 6455, 2702, 3006, 1831, 6455, 13222, 610, 1930, 741, 1378, 7816, 15945, 563, 1993, 1507, 2599, 11707, 568, 4397, 547, 1332, 14887, 982, 519, 3328, 585, 782, 454, 21232, 725, 998, 519, 1032, 476, 1001, 271, 269, 634, 5354, 540, 2816, 23761, 616, 4397, 547, 581, 10682, 6009, 454, 20357, 1082, 4810, 1507, 2599, 11707, 4734, 1142, 1032, 547, 4483, 454, 1729, 824, 23909, 267, 13649, 267, 610, 3247, 2324, 585, 824, 4128, 269, 16763, 16548, 454, 29019, 581, 2523, 15028, 585, 7606, 945, 2347, 2964, 545, 2866, 3292, 563, 294, 9512, 540, 2123, 25551, 4747, 936, 519, 476, 1220, 271, 268, 1015, 1974, 1058, 1683, 6800, 609, 811, 24787, 776, 9489, 547, 4444, 5179, 2692, 1846, 267, 15989, 543, 4677, 1379, 3937, 267, 543, 5179, 31260, 269, 901, 786, 2154, 811, 11707, 547, 1832, 519, 3395, 2179, 540, 3937, 538, 5106, 269, 769, 1840, 267, 6296, 3028, 786, 2141, 581, 513, 1713, 2707, 540, 960, 585, 11707, 269, 2755, 7760, 538, 2029, 786, 561, 1263, 6533, 519, 8884, 1063, 2638, 5725, 267, 519, 991, 585, 11727, 11707, 547, 1685, 713, 3028, 786, 2333, 563, 10387, 7877, 540, 27576, 11707, 1058, 2333, 7444, 607, 519, 8560, 540, 5179, 31260, 6450, 2432, 269, 16359, 12860, 6165, 1058, 3136, 547, 581, 2442, 609, 7606, 1063, 519, 6502, 540, 476, 1240, 543, 476, 2190, 267, 606, 2085, 1895, 799, 13840, 814, 1185, 519, 6574, 8167, 540, 27576, 12439, 269, 16359, 31260, 849, 616, 5051, 2442, 609, 7606, 936, 519, 2085, 540, 476, 2412, 269, 27603, 267, 713, 1895, 814, 25551, 4747, 547, 6108, 593, 16351, 3937, 971, 607, 5179, 31260, 543, 5179, 2692, 1846, 563, 7021, 519, 1985, 8717, 267, 811, 1004, 786, 581, 10024, 519, 476, 2412, 543, 936, 2085, 1895, 282, 713, 1895, 568, 3743, 585, 519, 4102, 10126, 540, 7286, 4739, 16306, 269, 1452, 1761, 18046, 786, 948, 4228, 519, 2344, 585, 5179, 2692, 1846, 267, 1247, 4543, 547, 2226, 519, 3747, 585, 11727, 11707, 269, 14716, 540, 1007, 2582, 1922, 13637, 8075, 786, 1267, 538, 606, 2333, 538, 519, 15989, 543, 4677, 3937, 538, 5106, 267, 2810, 519, 991, 585, 11707, 269, 1717, 267, 3937, 2208, 786, 581, 30281, 676, 3466, 4724, 4130, 1876, 985, 543, 24931, 856, 741, 5826, 547, 15989, 3028, 10909, 269, 12618, 849, 786, 581, 10917, 1229, 676, 519, 12402, 540, 1082, 6800, 547, 26565, 540, 543, 5372, 5266, 20522, 3688, 2864, 982, 723, 873, 30465, 563, 292, 7568, 902, 8469, 1014, 5993, 15271, 540, 27576, 11707, 941, 1269, 1839, 267, 1911, 538, 476, 1220, 280, 269, 634, 1647, 476, 2004, 2600, 12236, 1063, 1269, 866, 267, 32133, 543, 1269, 3953, 267, 275, 3445, 269, 634, 9803, 476, 1015, 2600, 12236, 1447, 982, 1269, 1428, 267, 280, 3199, 267, 543, 519, 5207, 476, 1015, 2600, 12236, 811, 982, 1269, 6078, 267, 5197, 269, 2405, 1014, 5993, 15271, 538, 476, 1220, 277, 538, 27576, 4308, 619, 267, 519, 2872, 14139, 519, 4102, 2338, 540, 27576, 11707, 267, 941, 1269, 1839, 267, 20981, 563, 8469, 1014, 5993, 15271, 540, 5179, 29539, 11707, 941, 1269, 2918, 267, 32133, 538, 476, 1220, 280, 269, 634, 1647, 476, 2004, 2600, 12236, 1063, 1269, 736, 267, 31318, 543, 1269, 3451, 267, 27151, 269, 634, 9803, 476, 1015, 2600, 12236, 1447, 982, 1269, 1704, 267, 17168, 267, 543, 519, 5207, 476, 1015, 2600, 12236, 811, 982, 1269, 6078, 267, 275, 3445, 269, 2405, 1014, 5993, 15271, 538, 476, 1220, 277, 538, 10935, 4308, 619, 267, 519, 2872, 14139, 519, 4102, 2338, 540, 5179, 29539, 11707, 267, 941, 1269, 2918, 267, 12573, 563, 8469, 1014, 5993, 15271, 540, 9205, 1379, 3937, 543, 824, 1507, 2599, 11707, 941, 1269, 2537, 267, 278, 3199, 538, 476, 1220, 280, 269, 634, 1647, 476, 2004, 2600, 12236, 1063, 1269, 1240, 267, 280, 1789, 543, 1269, 3066, 267, 24907, 269, 634, 9803, 476, 1015, 2600, 12236, 1447, 982, 1269, 1691, 267, 279, 1789, 267, 543, 519, 5207, 476, 1015, 2600, 12236, 811, 982, 1269, 3374, 267, 7742, 563, 22102, 2599, 11707, 4043, 547, 4309, 1906, 2640, 538, 1507, 15945, 267, 855, 1346, 6964, 538, 3677, 15945, 1419, 4309, 6976, 7477, 725, 267, 7210, 4734, 267, 543, 1072, 6142, 269, 2368, 12820, 849, 2628, 585, 960, 5829, 2866, 543, 1683, 26977, 563, 663, 1065, 18311, 3464, 945, 960, 593, 824, 2010, 540, 5985, 3937, 1331, 16669, 3028, 23390, 454, 663, 11707, 267, 17088, 3028, 23390, 543, 11707, 267, 543, 5230, 6174, 543, 454, 332, 9394, 3937, 3028, 23390, 543, 11707, 563, 2690, 811, 3877, 827, 960, 3255, 267, 3346, 2199, 27576, 267, 5179, 29539, 267, 543, 15989, 543, 4677, 3937, 4308, 619, 267, 10935, 29288, 267, 543, 2261, 21590, 269, 10871, 13646, 540, 519, 3557, 7694, 3028, 849, 949, 723, 1344, 827, 7694, 543, 2866, 3255, 269, 1280, 513, 1592, 540, 26886, 4357, 4123, 543, 2930, 3506, 602, 2709, 3292, 538, 1507, 2599, 1425, 6005, 543, 7816, 267, 3346, 912, 306, 1545, 540, 16952, 6176, 454, 2690, 811, 3877, 827, 960, 3255, 267, 3346, 2199, 27576, 267, 5179, 29539, 267, 543, 15989, 543, 4677, 3937, 4308, 619, 267, 10935, 29288, 267, 543, 2261, 21590, 269, 10871, 13646, 540, 519, 3557, 7694, 3028, 849, 949, 723, 1344, 827, 7694, 543, 2866, 3255, 563, 2690, 513, 1592, 540, 26886, 4357, 4123, 543, 2930, 3506, 602, 2709, 3292, 538, 1507, 2599, 1425, 6005, 543, 7816, 267, 3346, 281, 0, 15507, 519, 19287, 658, 5020, 13505, 454, 299, 23148, 6011, 532, 1152, 26184, 2037, 4921, 8058, 782, 19715, 454, 19613, 8058, 782, 19715, 454, 268, 18729, 545, 476, 275, 13292, 454, 268, 1325, 330, 13824, 476, 275, 13292, 454, 268, 16816, 1229, 676, 18972, 476, 275, 13292, 454, 268, 8330, 13681, 5735, 476, 275, 13292, 454, 268, 7736, 14663, 338, 476, 275, 13292, 454, 268, 26184, 569, 12019, 476, 275, 13292, 454, 268, 26184, 569, 12182, 476, 1015, 13292, 454, 268, 14523, 619, 13824, 476, 276, 13292, 454, 268, 24658, 476, 275, 13292, 454, 268, 7201, 16242, 476, 275, 13292, 454, 268, 9453, 27488, 476, 275, 13292, 454, 268, 9453, 4826, 476, 275, 13292, 454, 15761, 3153, 2037, 4921, 278, 13292, 4937, 270, 8448, 454, 24342, 476, 272, 910, 476, 1015, 540, 476, 7830, 13292, 454, 300, 17853, 5020, 538, 26184, 2037, 4921, 851, 540, 26184, 2037, 4921, 454, 763, 1353, 540, 17119, 2684, 3796, 2591, 938, 1523, 540, 519, 7182, 540, 1272, 267, 28279, 938, 1391, 585, 519, 3102, 3529, 540, 1272, 267, 543, 2337, 721, 547, 1174, 875, 4720, 814, 3144, 1747, 269, 6168, 19287, 658, 6987, 23767, 4429, 10907, 573, 545, 2037, 4921, 851, 540, 26184, 2037, 4921, 281, 10907, 573, 545, 454, 32046, 676, 9650, 344, 6762, 6352, 267, 13149, 18143, 12524, 5843, 13060, 602, 616, 2111, 547, 1020, 896, 3665, 2175, 723, 5063, 13631, 9645, 3007, 1317, 540, 741, 15116, 17550, 543, 4429, 5319, 4921, 16816, 1229, 676, 18972, 851, 540, 26184, 2037, 4921, 281, 2704, 339, 1229, 676, 18972, 454, 32046, 676, 30486, 1546, 1170, 2037, 4921, 16816, 1229, 676, 18972, 616, 3283, 602, 3100, 11375, 2214, 3386, 547, 1034, 1272, 269, 24768, 5054, 616, 3335, 9833, 607, 3283, 5827, 540, 4929, 5945, 610, 2669, 998, 4598, 547, 4429, 15761, 3153, 569, 12019, 5054, 851, 540, 26184, 2037, 4921, 281, 15761, 3153, 569, 12019, 454, 32046, 676, 281, 8845, 715, 269, 8053, 1484, 267, 23497, 3557, 2160, 834, 20329, 5268, 3796, 616, 3989, 607, 7103, 2348, 606, 6099, 2837, 585, 2208, 693, 827, 476, 1428, 13651, 290, 610, 2539, 267, 513, 31062, 2837, 585, 2208, 693, 827, 476, 736, 13651, 4429, 29797, 619, 13824, 2037, 4921, 851, 540, 26184, 2037, 4921, 281, 29797, 619, 13824, 454, 32046, 676, 12891, 23932, 2353, 1042, 543, 12844, 22448, 918, 269, 645, 1314, 614, 267, 1912, 6185, 1421, 31689, 5441, 267, 17865, 8235, 4975, 267, 29031, 2311, 2892, 514, 885, 7494, 23630, 476, 272, 269, 276, 631, 267, 605, 28648, 4925, 2392, 558, 3729, 281, 634, 26815, 10300, 30858, 543, 10300, 13569, 8684, 4551, 693, 4429, 20238, 1470, 5562, 2037, 4921, 851, 540, 26184, 2037, 4921, 281, 20238, 2747, 454, 32046, 676, 281, 8845, 715, 269, 8053, 1484, 267, 23497, 3557, 2160, 834, 289, 22160, 540, 519, 12593, 1546, 514, 19905, 8858, 606, 9058, 2702, 547, 16641, 519, 24037, 543, 4573, 10402, 545, 2360, 540, 5027, 14124, 8069, 12268, 21871, 4429, 11947, 16242, 2037, 4921, 851, 540, 26184, 2037, 4921, 281, 15152, 16242, 454, 32046, 676, 281, 8845, 715, 269, 8053, 1484, 267, 23497, 3557, 2160, 16242, 814, 513, 8101, 1198, 593, 519, 17550, 543, 1979, 17190, 540, 2713, 2281, 269, 5843, 13060, 7610, 1746, 519, 2620, 5498, 320, 543, 7449, 16577, 540, 3047, 723, 519, 4429, 5319, 4921, 9453, 27488, 851, 540, 26184, 2037, 4921, 281, 21413, 27488, 454, 3528, 30486, 1546, 1170, 2037, 4921, 9453, 27488, 666, 581, 1336, 2219, 519, 3047, 689, 4025, 607, 796, 326, 4594, 5387, 607, 513, 3653, 2359, 2030, 547, 2620, 8652, 31516, 642, 757, 593, 519, 5836, 6989, 269, 634, 1455, 1275, 1063, 891, 4429, 2704, 330, 13824, 2037, 4921, 851, 540, 26184, 2037, 4921, 281, 2704, 330, 13824, 454, 32046, 676, 8861, 645, 867, 18315, 267, 13149, 18143, 12524, 1703, 616, 1100, 5730, 8847, 540, 1018, 1915, 3278, 606, 30175, 13023, 32281, 610, 30175, 527, 26985, 11248, 269, 11153, 14471, 8858, 811, 982, 835, 9063, 19993, 4429, 22349, 13681, 5735, 851, 540, 26184, 2037, 4921, 281, 22349, 13681, 5735, 454, 32046, 676, 8861, 645, 867, 18315, 267, 13149, 18143, 12524, 8330, 13681, 5735, 5088, 806, 519, 3406, 585, 5732, 20948, 10785, 3564, 938, 9891, 3590, 267, 519, 3408, 540, 9370, 543, 519, 9018, 10785, 267, 8047, 543, 3267, 0, 16829, 538, 28687, 1538, 528, 1242, 267, 28562, 1035, 330, 5797, 323, 1299, 3771, 3272, 267, 1148, 267, 1148, 10380, 267, 2462, 28306, 267, 524, 1824, 342, 9529, 267, 15854, 3771, 3272, 267, 7532, 24335, 14500, 267, 24469, 267, 6371, 267, 646, 1430, 1035, 330, 5797, 323, 267, 795, 752, 984, 11634, 14525, 267, 23031, 267, 10344, 267, 17855, 267, 530, 2297, 593, 4864, 476, 1691, 267, 476, 1001, 273, 11406, 274, 22227, 19314, 2691, 594, 4718, 519, 2212, 1467, 693, 654, 1600, 267, 621, 4769, 1406, 2731, 12337, 563, 2108, 9209, 1235, 8073, 5800, 20137, 593, 14970, 23420, 1848, 1548, 286, 594, 1810, 1406, 1205, 621, 269, 9894, 519, 5159, 1305, 909, 1574, 1564, 543, 5862, 609, 11041, 286, 9894, 789, 5862, 2047, 593, 519, 6371, 888, 310, 31581, 14428, 582, 19212, 32021, 984, 5576, 14525, 6941, 563, 17606, 782, 3323, 267, 607, 891, 1919, 3006, 798, 267, 676, 8009, 269, 769, 476, 1960, 271, 267, 1354, 789, 5249, 538, 10344, 267, 1496, 3891, 1430, 316, 25532, 5797, 323, 543, 1496, 25405, 316, 29542, 2813, 606, 1148, 10380, 602, 4988, 606, 3003, 4055, 609, 6371, 269, 1306, 851, 540, 519, 1148, 4062, 789, 1185, 2451, 513, 21117, 10709, 532, 1996, 513, 3774, 543, 950, 789, 4682, 547, 4894, 621, 789, 4718, 602, 519, 24819, 543, 3728, 21212, 2030, 1185, 1044, 29501, 539, 609, 519, 14692, 269, 634, 6371, 1185, 18423, 5835, 1141, 519, 21117, 1185, 15286, 621, 689, 8391, 1022, 1769, 563, 2108, 2048, 2171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8008, 307, 301, 269, 630, 333, 6155, 4700, 744, 8976, 301, 24727, 269, 8158, 5130, 476, 1428, 267, 476, 1708, 274, 267, 689, 4179, 2517, 9953, 333, 6745, 4920, 8690, 19544, 3464, 320, 10993, 9706, 4301, 625, 28621, 573, 766, 9706, 4301, 625, 270, 692, 299, 1442, 267, 631, 269, 630, 1220, 273, 1040, 3828, 823, 16458, 281, 5029, 3690, 17852, 543, 519, 22365, 3685, 540, 12280, 269, 2160, 540, 4993, 4964, 780, 13328, 11020, 12280, 5741, 269, 630, 1001, 280, 1040, 9502, 540, 11020, 12280, 269, 8158, 5130, 476, 1428, 267, 476, 1708, 274, 267, 689, 5291, 2517, 16447, 3630, 785, 324, 987, 2889, 915, 3820, 270, 3698, 6873, 6361, 1532, 1778, 11546, 987, 270, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 288, 2686, 267, 5683, 267, 2564, 543, 3656, 3408, 540, 5545, 543, 1977, 5081, 7724, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 8466, 543, 10236, 1670, 5380, 593, 2669, 543, 12955, 2580, 834, 274, 269, 19078, 9270, 538, 1439, 6361, 3734, 1416, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 6481, 5380, 593, 2669, 543, 12955, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 272, 269, 11020, 2669, 543, 1418, 21856, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 7689, 476, 276, 281, 11773, 542, 31896, 910, 5901, 2659, 12567, 19663, 2353, 17897, 7043, 2439, 5970, 596, 2479, 8068, 875, 930, 10651, 3100, 547, 2141, 723, 1945, 1007, 543, 28480, 286, 1358, 2760, 3100, 547, 1205, 19309, 610, 20585, 256, 4270, 267, 972, 781, 513, 5728, 3297, 1346, 7524, 543, 6422, 10651, 1572, 19588, 9544, 269, 4653, 267, 649, 786, 2263, 713, 9735, 4480, 602, 2636, 596, 547, 2972, 4195, 5810, 267, 5613, 267, 543, 5388, 2429, 519, 12202, 4005, 269, 1924, 1577, 781, 4685, 883, 519, 1158, 540, 19588, 9544, 1927, 2439, 5575, 1919, 1101, 267, 1018, 4010, 568, 19588, 9544, 286, 15439, 2322, 267, 621, 1797, 9544, 7031, 835, 1310, 1776, 1282, 1114, 12405, 610, 5712, 1369, 519, 1482, 1032, 269, 901, 1259, 267, 3079, 540, 2348, 782, 707, 2371, 1332, 543, 3132, 693, 2899, 267, 789, 1491, 7140, 267, 4180, 6024, 2208, 543, 7556, 269, 5994, 513, 20794, 5198, 1141, 1142, 27460, 10596, 519, 10627, 517, 547, 519, 1985, 1107, 602, 781, 1018, 19588, 9544, 5654, 899, 538, 707, 4677, 2439, 3086, 267, 1946, 1131, 596, 1616, 547, 946, 19588, 9544, 538, 707, 4677, 286, 1703, 616, 1896, 4128, 1384, 272, 269, 6987, 754, 519, 28610, 17897, 281, 1635, 9544, 7031, 11179, 267, 596, 2327, 513, 11931, 3761, 540, 4195, 3132, 936, 513, 811, 6905, 1974, 269, 5502, 540, 3478, 16397, 676, 513, 29667, 3814, 855, 2110, 3856, 7556, 267, 596, 3262, 856, 707, 6556, 2066, 1082, 4374, 610, 3275, 563, 273, 269, 16473, 645, 1819, 558, 281, 2060, 1007, 2371, 1402, 4771, 909, 1631, 543, 1287, 267, 707, 4677, 3788, 11617, 13267, 543, 10578, 269, 1411, 4465, 1405, 1205, 13110, 3168, 693, 519, 1482, 2025, 2371, 282, 3079, 267, 596, 3513, 18783, 741, 5372, 906, 2336, 274, 269, 8838, 4476, 6611, 26402, 281, 4595, 596, 2811, 7683, 15914, 7031, 267, 596, 666, 8415, 1169, 10759, 540, 707, 4677, 7561, 269, 3143, 8900, 5624, 2451, 30694, 1247, 7996, 585, 824, 2371, 547, 9096, 3395, 563, 275, 269, 28509, 623, 3949, 543, 15302, 281, 7756, 2371, 4482, 1585, 10860, 543, 3676, 269, 1635, 4657, 1018, 781, 6738, 538, 1808, 6753, 5781, 267, 596, 7519, 891, 13311, 14538, 262, 1272, 9979, 543, 7413, 1761, 3441, 780, 4131, 781, 1451, 827, 1079, 1292, 2010, 540, 19588, 9544, 2409, 1384, 272, 269, 1234, 8690, 532, 10374, 4149, 324, 1783, 15867, 1186, 281, 1452, 616, 2656, 21212, 19787, 971, 607, 23858, 267, 2234, 8460, 267, 22156, 267, 543, 17112, 269, 2991, 16276, 873, 267, 5612, 30889, 5452, 585, 519, 1985, 16801, 865, 789, 2811, 4712, 950, 519, 1699, 7693, 26088, 922, 4783, 269, 1280, 1383, 267, 952, 596, 12630, 2234, 8460, 538, 2038, 5614, 267, 4894, 873, 2899, 9921, 323, 543, 5372, 873, 609, 17436, 610, 10365, 563, 273, 269, 3955, 23145, 6137, 7043, 518, 31645, 12518, 281, 901, 1505, 3322, 11093, 10156, 1673, 4851, 2371, 7258, 14887, 2173, 520, 1005, 3283, 269, 1306, 519, 3476, 5498, 1783, 2371, 1020, 267, 519, 5488, 21212, 3283, 3914, 15657, 543, 616, 19122, 1354, 4742, 31083, 611, 15735, 269, 1323, 5140, 1383, 540, 17685, 549, 6137, 568, 9256, 8970, 543, 21167, 2371, 269, 12397, 2488, 1489, 585, 16246, 10365, 267, 2870, 8994, 2640, 1063, 1312, 2249, 780, 2080, 2501, 938, 5172, 15496, 2030, 1650, 1107, 519, 3624, 8330, 619, 256, 5457, 875, 1454, 789, 2648, 519, 3141, 286, 2334, 2306, 873, 3501, 10457, 585, 19588, 9544, 2094, 789, 8853, 538, 2407, 3141, 4598, 269, 4495, 707, 3355, 3624, 8330, 619, 1376, 27315, 1154, 267, 979, 6619, 543, 2030, 18960, 19155, 538, 741, 1747, 269, 3807, 3314, 547, 1683, 2614, 2230, 1063, 873, 267, 3850, 4055, 585, 1697, 1646, 543, 2011, 10009, 269, 17652, 2614, 267, 596, 3513, 1294, 4190, 32395, 6932, 1586, 267, 4758, 707, 4677, 513, 24253, 1413, 2439, 2414, 2040, 909, 267, 19588, 9544, 8952, 707, 4677, 18512, 543, 11327, 782, 4005, 1279, 269, 3414, 6297, 4058, 543, 7580, 5542, 540, 7031, 267, 596, 1932, 666, 1711, 513, 10875, 4159, 540, 3309, 18508, 543, 21426, 269, 8414, 29972, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19770, 589, 3122, 12525, 16860, 454, 268, 8003, 281, 7233, 2801, 630, 5522, 1218, 994, 268, 623, 17222, 636, 281, 4911, 3930, 704, 916, 630, 23044, 1359, 2371, 994, 268, 4147, 281, 661, 644, 545, 1824, 630, 291, 545, 582, 344, 1194, 976, 994, 268, 11352, 281, 8330, 1968, 525, 454, 268, 7731, 281, 589, 3122, 19687, 630, 26422, 17810, 1920, 994, 268, 570, 11171, 281, 8330, 699, 2801, 454, 268, 2637, 639, 281, 11910, 626, 32397, 639, 454, 268, 15661, 281, 11910, 626, 32397, 639, 24060, 18424, 454, 24400, 519, 1318, 4087, 585, 707, 3624, 14531, 454, 763, 1101, 1900, 538, 6707, 3395, 3624, 14531, 568, 7446, 519, 1318, 4087, 538, 707, 4677, 269, 3624, 14531, 568, 513, 3141, 2000, 8221, 2030, 602, 3340, 693, 2547, 3670, 547, 5216, 3108, 540, 1463, 7943, 1142, 1554, 563, 11997, 267, 621, 568, 1271, 547, 2824, 513, 5544, 538, 707, 4677, 602, 11392, 15792, 7943, 269, 3680, 9544, 707, 3624, 14531, 538, 695, 8014, 2127, 610, 896, 4054, 602, 666, 29572, 519, 7943, 563, 1103, 1840, 547, 7943, 267, 3624, 14531, 849, 27422, 1134, 1673, 11712, 3037, 269, 898, 666, 20496, 513, 2039, 540, 3037, 2010, 267, 1519, 3138, 600, 267, 10036, 267, 543, 22501, 3037, 267, 607, 1279, 607, 621, 568, 1134, 1673, 11712, 563, 22879, 9544, 3624, 14531, 538, 2127, 609, 5230, 10036, 3037, 602, 11148, 547, 11677, 1216, 543, 1831, 1216, 8421, 3022, 269, 1403, 707, 3037, 568, 5230, 610, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 15471, 542, 31896, 257, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 9828, 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, 6182, 1218, 281, 1323, 12708, 5530, 22707, 585, 5441, 5685, 3496, 692, 1103, 519, 13287, 540, 2362, 2069, 267, 14104, 1419, 19674, 607, 513, 1713, 6161, 585, 1082, 1053, 543, 741, 3885, 269, 7324, 519, 16221, 2883, 5351, 3681, 2139, 267, 14828, 723, 7153, 607, 513, 2565, 4199, 602, 11562, 1218, 6251, 6514, 269, 901, 3296, 12538, 883, 519, 14960, 540, 14828, 267, 3246, 513, 9488, 8223, 540, 713, 1898, 1353, 5351, 1247, 5466, 922, 10083, 538, 4207, 2486, 780, 14240, 543, 9537, 540, 6182, 1218, 692, 4263, 922, 4295, 267, 513, 9886, 4564, 513, 1106, 540, 2883, 6351, 13752, 547, 2043, 610, 3906, 1759, 593, 20519, 610, 7152, 2883, 991, 269, 9521, 12029, 267, 14828, 798, 711, 2154, 23231, 618, 267, 1818, 873, 3226, 10694, 585, 1053, 20678, 547, 7413, 3872, 7963, 2390, 22692, 269, 10738, 519, 2796, 540, 2362, 2069, 267, 1896, 2010, 540, 14828, 2291, 267, 1519, 5313, 267, 1533, 267, 12250, 267, 543, 4357, 14828, 269, 3962, 7121, 9072, 1808, 2516, 540, 1053, 543, 5713, 3982, 5301, 780, 293, 3985, 6182, 1218, 692, 763, 2136, 2276, 4972, 540, 4065, 14721, 8651, 5313, 14828, 267, 971, 607, 623, 749, 6182, 1218, 543, 8549, 26929, 531, 12409, 31621, 6182, 1218, 630, 293, 10345, 8104, 1040, 1452, 17758, 5097, 3077, 896, 6588, 706, 919, 27109, 11108, 2883, 991, 269, 1677, 20618, 585, 891, 7482, 267, 23078, 1590, 2347, 519, 5131, 13335, 585, 8549, 9906, 22707, 630, 11902, 293, 6347, 1070, 799, 2708, 525, 25046, 1210, 2188, 899, 4747, 267, 7221, 267, 1920, 2450, 267, 543, 27350, 4567, 269, 25408, 267, 23700, 949, 946, 623, 749, 16827, 7482, 693, 1022, 10283, 9872, 267, 6466, 674, 10345, 8104, 17758, 2611, 13615, 547, 1367, 12621, 543, 9945, 269, 9182, 267, 771, 321, 9309, 906, 4268, 4470, 593, 12250, 7616, 2157, 543, 2875, 3747, 780, 13750, 6182, 1218, 692, 3849, 3439, 1229, 676, 1533, 6608, 267, 1533, 14828, 8597, 4481, 547, 7264, 13197, 2022, 16149, 776, 2069, 1369, 741, 1753, 2829, 269, 4432, 580, 1043, 10457, 3335, 6542, 2883, 991, 267, 4352, 930, 3292, 8831, 3255, 547, 1164, 268, 778, 773, 1324, 1053, 7488, 540, 2804, 6381, 269, 6145, 5313, 14828, 267, 1533, 8366, 5666, 4096, 593, 3875, 4632, 267, 1519, 8244, 540, 2200, 543, 18579, 22097, 269, 6201, 540, 7986, 1533, 9886, 7341, 1331, 4993, 781, 2836, 16827, 5358, 543, 8419, 781, 24761, 28358, 999, 18623, 1222, 5358, 780, 9743, 6627, 6182, 1218, 692, 6624, 12621, 543, 9945, 2709, 12250, 14828, 547, 4482, 9621, 1053, 543, 3895, 14227, 4763, 1851, 741, 9757, 5095, 269, 10705, 14102, 998, 1439, 578, 906, 267, 620, 30282, 23190, 267, 610, 2489, 5665, 23348, 267, 12250, 14828, 5512, 1053, 547, 15558, 3872, 9276, 1510, 7213, 6819, 3606, 7963, 269, 15380, 267, 891, 17758, 5447, 609, 12250, 14422, 267, 7957, 1681, 2127, 899, 4081, 17284, 267, 5718, 1761, 267, 610, 7499, 13007, 269, 1280, 3236, 267, 9466, 2160, 2488, 12250, 14828, 547, 1053, 945, 4159, 11108, 9153, 538, 4610, 8151, 689, 3621, 1382, 547, 2146, 6278, 269, 1635, 3257, 865, 267, 9466, 11942, 7214, 2208, 1247, 8195, 4227, 519, 2883, 11411, 593, 964, 6326, 5640, 780, 7468, 10675, 6182, 1218, 692, 7661, 267, 4357, 13210, 267, 14078, 267, 543, 18758, 3906, 4749, 13384, 528, 27352, 30845, 14828, 2966, 547, 1489, 1808, 3123, 610, 4434, 1880, 989, 31789, 269, 6270, 17758, 1419, 3077, 13395, 6990, 9207, 5703, 676, 2757, 3029, 540, 2883, 5351, 267, 7551, 9750, 3255, 585, 13840, 12790, 2950, 269, 17721, 14828, 949, 1445, 593, 5885, 2021, 538, 13241, 4610, 267, 12102, 11639, 267, 610, 1101, 22831, 2852, 1053, 267, 1851, 1866, 269, 1306, 609, 824, 9886, 6688, 267, 5461, 6105, 1590, 10505, 3156, 24152, 741, 10080, 267, 3853, 267, 543, 4143, 20340, 547, 5150, 7156, 269, 21988, 10457, 1287, 4309, 7616, 20314, 550, 593, 15984, 547, 1982, 4808, 543, 6788, 780, 28274, 585, 6182, 1218, 281, 7454, 13756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12430, 13829, 543, 7115, 692, 1892, 9484, 476, 273, 526, 476, 1220, 279, 267, 476, 5881, 281, 2767, 6751, 454, 307, 274, 580, 306, 454, 30791, 13829, 543, 7115, 454, 296, 993, 538, 14849, 991, 540, 948, 609, 891, 844, 525, 527, 976, 912, 1692, 798, 594, 1384, 272, 269, 28171, 602, 1079, 10321, 616, 31085, 8200, 952, 543, 1152, 952, 835, 568, 513, 22185, 2789, 540, 519, 824, 563, 273, 269, 28171, 602, 1169, 15410, 540, 513, 31085, 4830, 1305, 568, 31085, 4830, 454, 274, 269, 2913, 2715, 341, 272, 267, 2807, 341, 330, 348, 581, 513, 31085, 4830, 1305, 540, 10321, 538, 681, 333, 267, 543, 1577, 642, 581, 513, 6152, 538, 681, 333, 269, 14597, 602, 642, 815, 524, 272, 341, 272, 1341, 524, 273, 341, 273, 1341, 1862, 266, 1188, 341, 330, 609, 524, 272, 568, 711, 3160, 547, 476, 271, 269, 28171, 602, 2715, 341, 272, 267, 642, 273, 267, 24222, 341, 330, 348, 568, 31085, 4830, 780, 12552, 454, 1892, 9484, 476, 273, 526, 476, 1220, 279, 267, 476, 5400, 281, 2764, 6751, 454, 340, 666, 1397, 5276, 13829, 676, 6029, 513, 265, 341, 272, 1341, 536, 265, 341, 273, 815, 476, 271, 1141, 1312, 513, 543, 536, 616, 660, 8195, 476, 271, 780, 810, 630, 272, 264, 568, 513, 4062, 540, 14735, 1862, 952, 922, 2009, 585, 596, 547, 1265, 513, 3070, 547, 519, 1657, 3830, 1510, 513, 815, 476, 271, 815, 536, 941, 2944, 269, 952, 642, 273, 815, 737, 265, 341, 272, 1287, 536, 815, 910, 320, 31574, 543, 865, 8521, 780, 273, 910, 1577, 803, 1294, 1862, 952, 596, 723, 513, 1305, 540, 10321, 642, 272, 1862, 642, 330, 267, 543, 596, 8263, 642, 272, 23099, 642, 17347, 268, 272, 264, 568, 31085, 8200, 267, 1287, 596, 666, 1397, 676, 27171, 602, 642, 272, 1862, 341, 330, 3112, 7654, 581, 4830, 269, 1413, 693, 621, 899, 713, 692, 604, 513, 265, 341, 272, 1341, 536, 265, 341, 273, 1341, 524, 265, 341, 274, 568, 967, 788, 543, 649, 8263, 513, 265, 341, 272, 1341, 536, 265, 341, 273, 568, 8200, 630, 773, 513, 265, 341, 272, 1341, 536, 265, 341, 273, 815, 476, 271, 264, 1287, 972, 15069, 1454, 2291, 930, 3070, 1141, 524, 284, 271, 602, 2306, 519, 1101, 3830, 519, 14275, 6152, 1547, 952, 602, 568, 519, 2013, 1287, 1775, 1589, 649, 2811, 2944, 1862, 2576, 2953, 803, 952, 708, 4636, 780, 574, 711, 2386, 1775, 4625, 1246, 596, 593, 476, 274, 267, 1434, 9939, 609, 707, 8631, 338, 454, 1892, 9484, 476, 274, 6113, 476, 1220, 279, 267, 476, 1321, 281, 7906, 7537, 454, 1817, 572, 2988, 773, 454, 29019, 1614, 1224, 602, 519, 1305, 2715, 341, 272, 267, 2807, 341, 330, 267, 341, 348, 568, 31085, 8200, 286, 0, 1012, 16504, 14502, 9119, 692, 259, 263, 344, 266, 276, 7565, 344, 268, 866, 7751, 454, 259, 344, 273, 268, 1691, 344, 268, 4817, 259, 814, 1100, 1455, 1395, 6706, 3815, 815, 259, 7268, 1422, 1422, 1422, 1422, 1422, 1422, 1422, 1422, 3738, 7268, 1422, 1422, 1422, 1422, 1422, 1422, 1422, 1422, 3738, 259, 815, 259, 263, 344, 315, 1422, 1422, 1422, 1422, 1422, 1422, 3738, 263, 344, 315, 1422, 1422, 1422, 1422, 1422, 1422, 3738, 259, 815, 259, 263, 344, 10954, 1422, 3738, 263, 344, 10559, 1422, 3738, 259, 634, 2188, 540, 910, 4817, 1590, 723, 7429, 4191, 269, 815, 259, 263, 344, 266, 276, 7565, 344, 268, 866, 7751, 476, 276, 543, 910, 866, 723, 513, 2040, 540, 910, 1691, 543, 513, 1587, 540, 910, 4817, 269, 0, 258, 27252, 12793, 538, 5124, 1923, 5590, 476, 273, 630, 8421, 673, 318, 663, 19572, 3339, 1125, 19572, 3067, 1125, 19572, 17967, 3890, 2560, 25589, 5278, 540, 519, 27252, 3252, 723, 1044, 5941, 538, 5590, 476, 272, 2630, 692, 13356, 2711, 12793, 538, 5124, 1923, 5590, 476, 272, 692, 5415, 3252, 616, 5941, 538, 713, 2376, 780, 272, 269, 9266, 318, 663, 3890, 32473, 901, 1599, 1939, 525, 7857, 30150, 9266, 968, 663, 892, 5106, 540, 519, 1297, 269, 6226, 1080, 666, 1152, 723, 519, 2418, 476, 271, 610, 476, 272, 780, 273, 269, 9266, 318, 528, 3890, 32473, 901, 1599, 1939, 525, 7857, 30150, 9266, 968, 528, 892, 5106, 540, 519, 1297, 269, 6226, 1080, 666, 1152, 723, 519, 2418, 476, 271, 610, 476, 272, 780, 274, 269, 9266, 13448, 528, 3890, 32473, 901, 1599, 1939, 525, 7857, 30150, 9266, 968, 343, 528, 892, 5106, 540, 519, 1297, 269, 6226, 1080, 666, 1152, 723, 519, 2418, 476, 271, 610, 476, 272, 780, 275, 269, 9266, 18425, 3200, 3890, 32473, 901, 1599, 1939, 525, 7857, 30150, 9266, 968, 514, 3200, 892, 5106, 540, 519, 1297, 269, 6226, 1080, 666, 1152, 723, 519, 2418, 476, 271, 610, 476, 272, 780, 2387, 258, 5124, 3009, 547, 6542, 519, 2324, 540, 1109, 2387, 2387, 258, 9266, 318, 663, 19572, 9266, 318, 528, 19572, 9266, 13448, 528, 3890, 2387, 2387, 258, 543, 9266, 18425, 3200, 3890, 2387, 2387, 1109, 319, 1109, 2387, 258, 1104, 532, 834, 20657, 2711, 257, 9074, 547, 946, 8918, 3252, 2387, 2387, 5814, 319, 2387, 20657, 2711, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 320, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 1911, 271, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 321, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 9340, 271, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 9266, 318, 663, 540, 1079, 2338, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 9266, 318, 663, 3890, 540, 1079, 2338, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 7456, 16479, 318, 663, 6357, 4297, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 9266, 318, 528, 540, 1079, 2338, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 9266, 318, 528, 3890, 540, 1079, 2338, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 7456, 16479, 318, 528, 6357, 4297, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 12600, 610, 540, 1079, 2338, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 12600, 610, 540, 1079, 2338, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 7456, 16479, 13448, 528, 6357, 4297, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 9266, 538, 11437, 540, 1297, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 9266, 538, 11437, 540, 1297, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 7456, 16479, 18425, 3200, 28829, 2387, 692, 20479, 1384, 3499, 763, 9266, 318, 663, 3890, 540, 1079, 2338, 568, 2433, 476, 1911, 271, 454, 763, 9266, 318, 528, 3890, 540, 1079, 2338, 568, 2433, 476, 9340, 271, 454, 763, 12600, 610, 540, 1079, 2338, 568, 2433, 476, 8099, 454, 763, 9266, 538, 11437, 540, 1297, 568, 2433, 476, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 18733, 272, 454, 7884, 276, 269, 1985, 318, 15200, 3890, 32473, 901, 1599, 7024, 519, 10545, 1297, 602, 666, 581, 6719, 267, 3677, 982, 519, 2016, 1297, 780, 277, 269, 1985, 318, 15200, 3890, 32473, 901, 1599, 7024, 519, 4102, 1297, 602, 666, 581, 6719, 267, 4130, 982, 519, 2016, 1297, 780, 2387, 258, 5124, 3009, 547, 6542, 519, 2324, 540, 1109, 2387, 2387, 258, 1985, 318, 15200, 3890, 543, 1985, 28804, 639, 3890, 2387, 2387, 1109, 319, 1109, 2387, 258, 1104, 532, 834, 20657, 2711, 257, 9074, 547, 946, 8918, 3252, 2387, 2387, 5814, 319, 2387, 20657, 2711, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 320, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 6200, 269, 4097, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 519, 4890, 8918, 1297, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 3312, 1297, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 1297, 1310, 1210, 1985, 318, 15200, 3890, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 10545, 1297, 3677, 982, 1699, 1297, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 12785, 318, 15200, 28829, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 1297, 1310, 1210, 1985, 28804, 639, 3890, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 4102, 1297, 4130, 982, 1699, 1297, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 320, 12785, 28804, 639, 28829, 2387, 692, 20479, 1384, 3499, 763, 3312, 1297, 568, 2433, 476, 6200, 269, 22430, 1822, 1822, 1822, 19740, 25148, 2568, 276, 14530, 277, 4366, 21878, 8660, 273, 8687, 31256, 4366, 275, 23841, 454, 763, 10545, 1297, 3677, 982, 1699, 1297, 2433, 476, 6200, 269, 22430, 1822, 1822, 1822, 19740, 25148, 2568, 276, 14530, 278, 454, 763, 4102, 1297, 4130, 982, 1699, 1297, 2433, 476, 6200, 269, 22430, 1822, 1822, 1822, 19740, 25148, 2568, 276, 14530, 277, 454, 7884, 278, 269, 1985, 4671, 578, 731, 3890, 32473, 901, 1599, 7024, 519, 1297, 14282, 547, 519, 476, 272, 560, 4661, 538, 519, 4287, 540, 519, 2034, 4661, 269, 769, 2013, 5637, 519, 2338, 616, 3160, 267, 7024, 519, 476, 273, 526, 1297, 609, 519, 1129, 540, 1101, 1297, 780, 279, 269, 3339, 1125, 3890, 32473, 901, 1599, 16493, 519, 1297, 1310, 2144, 2084, 782, 519, 1318, 2865, 911, 4979, 4642, 525, 538, 519, 1297, 780, 2387, 258, 5124, 3009, 547, 6542, 519, 2324, 540, 1109, 2387, 2387, 258, 1985, 4671, 578, 731, 3890, 543, 3339, 1125, 3890, 2387, 2387, 1109, 319, 1109, 2387, 258, 1104, 532, 834, 20657, 2711, 257, 9074, 547, 946, 8918, 3252, 2387, 2387, 5814, 319, 2387, 20657, 2711, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 320, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 6200, 269, 4097, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 321, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 268, 1730, 6200, 269, 4097, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 322, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 268, 1730, 6812, 269, 6924, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 19461, 1944, 8918, 1297, 2387, 2387, 323, 12181, 284, 319, 2387, 20657, 2711, 6185, 1815, 2711, 263, 1730, 1691, 269, 18089, 1822, 1822, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 519, 1297, 1210, 1985, 4671, 578, 731, 3890, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 1297, 14191, 547, 476, 272, 560, 1297, 538, 4287, 540, 2034, 1297, 2433, 834, 1730, 264, 2387, 2387, 2745, 319, 25464, 320, 12785, 4671, 578, 731, 6262, 4297, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 519, 1297, 1210, 1985, 4671, 578, 731, 3890, 2387, 2387, 258, 950, 3160, 2387, 2387, 2745, 319, 25464, 1730, 257, 763, 2034, 1297, 609, 1129, 540, 1101, 1297, 568, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 321, 12785, 4671, 578, 731, 5416, 4297, 2387, 2387, 1109, 319, 1109, 2387, 258, 8228, 1297, 1310, 2144, 2084, 1318, 2865, 911, 4979, 4642, 525, 2387, 2387, 2745, 319, 25464, 1730, 257, 10831, 1310, 2144, 2084, 1318, 2865, 911, 4979, 4642, 525, 2433, 834, 1730, 267, 754, 1730, 284, 1730, 3269, 264, 2387, 2387, 2745, 319, 25464, 323, 269, 7538, 1125, 28829, 2387, 692, 20479, 1384, 3499, 763, 1297, 14191, 547, 476, 272, 560, 1297, 538, 4287, 540, 2034, 1297, 10778, 6200, 269, 22430, 1822, 1822, 1822, 19740, 25148, 2568, 276, 14530, 277, 454, 763, 2034, 1297, 609, 1129, 540, 1101, 1297, 568, 2433, 910, 6200, 269, 22430, 1822, 1822, 1822, 19740, 25148, 2568, 276, 14530, 277, 454, 10831, 1310, 2144, 2084, 1318, 2865, 911, 4979, 4642, 525, 2433, 476, 1691, 269, 4905, 454, 7884, 280, 269, 3067, 1125, 3890, 32473, 901, 1599, 7024, 519, 476, 272, 560, 4661, 609, 519, 1297, 540, 9704, 538, 8918, 851, 263, 10339, 9426, 264, 27571, 676, 519, 1297, 540, 9704, 538, 8918, 851, 263, 10339, 9426, 264, 540, 476, 273, 526, 4661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 2657, 543, 4270, 7424, 454, 288, 2471, 476, 278, 268, 280, 630, 16775, 273, 264, 21848, 476, 280, 268, 1556, 630, 16775, 273, 994, 30789, 9454, 1080, 5455, 454, 290, 289, 6195, 10558, 518, 5484, 1744, 2231, 6799, 513, 1920, 5692, 782, 827, 5822, 2622, 2782, 25982, 543, 20410, 2544, 548, 6345, 7338, 8274, 2006, 269, 13772, 707, 5692, 5618, 532, 547, 1265, 856, 875, 596, 666, 1118, 707, 1378, 2575, 1175, 899, 8751, 2336, 10673, 1406, 5855, 827, 4730, 1954, 5598, 607, 519, 7574, 12103, 652, 4592, 693, 594, 310, 300, 723, 627, 5792, 909, 930, 5528, 585, 596, 547, 1118, 707, 1360, 1378, 20410, 2544, 548, 782, 689, 4948, 3615, 596, 666, 1265, 538, 707, 1753, 2336, 2791, 786, 991, 513, 23611, 4216, 267, 513, 1279, 21312, 8546, 630, 9767, 666, 1265, 891, 538, 28277, 1957, 13740, 610, 6529, 1927, 16003, 5066, 25963, 1070, 5569, 267, 15441, 543, 23805, 585, 513, 6738, 909, 547, 946, 563, 272, 269, 3689, 946, 513, 15513, 547, 1118, 513, 8559, 538, 519, 5377, 3368, 540, 519, 4395, 540, 707, 23611, 4216, 269, 3973, 2307, 707, 6738, 909, 547, 2759, 856, 513, 5858, 585, 596, 563, 273, 269, 2422, 519, 15513, 547, 533, 15127, 2947, 9475, 693, 519, 1283, 543, 5377, 540, 519, 4216, 585, 707, 12673, 269, 13772, 707, 11263, 1934, 2336, 274, 269, 12338, 1524, 883, 519, 1647, 540, 1312, 1279, 8728, 540, 519, 19984, 543, 18846, 519, 21312, 1394, 547, 1711, 1079, 26642, 563, 275, 269, 3973, 1491, 707, 5569, 543, 8142, 621, 883, 519, 9475, 596, 1500, 4505, 267, 1118, 2386, 596, 17063, 5150, 25418, 693, 519, 7475, 547, 3247, 621, 19586, 1782, 563, 276, 269, 1411, 666, 946, 930, 22302, 21312, 689, 519, 5858, 596, 2759, 856, 547, 1711, 1469, 18284, 707, 12673, 269, 3794, 826, 1142, 835, 1524, 896, 519, 12673, 593, 519, 1283, 543, 519, 5377, 563, 277, 269, 3794, 826, 519, 1283, 540, 519, 23611, 4216, 1394, 1524, 543, 1747, 930, 15441, 593, 1142, 540, 519, 1166, 2355, 596, 2813, 4505, 563, 278, 269, 3767, 7696, 519, 21312, 8546, 547, 1118, 519, 9487, 2544, 548, 779, 6023, 269, 634, 15441, 2115, 930, 942, 547, 1305, 855, 596, 666, 946, 20202, 11746, 547, 1118, 621, 3063, 5150, 899, 5484, 1705, 563, 4517, 972, 596, 723, 621, 256, 1411, 3580, 581, 795, 2459, 532, 609, 519, 1655, 540, 873, 543, 5329, 707, 1920, 779, 14326, 909, 609, 707, 1753, 1500, 20410, 2544, 548, 256, 0, 8070, 513, 2698, 540, 476, 274, 6086, 633, 6114, 936, 476, 273, 5094, 2395, 585, 2407, 7589, 269, 901, 2882, 707, 3355, 2022, 543, 476, 273, 30491, 547, 824, 1053, 610, 707, 12200, 4759, 563, 25215, 1180, 547, 519, 1739, 4901, 5401, 538, 513, 5934, 540, 476, 11260, 1913, 912, 6624, 1870, 2238, 5352, 1239, 602, 666, 581, 2219, 540, 607, 4351, 269, 1323, 1383, 4330, 538, 519, 1837, 568, 519, 1425, 6005, 540, 6517, 693, 606, 3282, 1689, 6300, 269, 3962, 1286, 10024, 519, 6300, 666, 581, 2808, 606, 4603, 609, 4351, 4093, 269, 589, 4756, 540, 1719, 538, 713, 4603, 1223, 581, 519, 2179, 540, 942, 2556, 547, 3028, 519, 1286, 269, 6796, 942, 786, 4268, 14477, 609, 1142, 1286, 563, 2171, 666, 1419, 7001, 519, 1034, 4143, 4162, 540, 513, 32094, 1184, 609, 513, 2241, 5506, 3892, 2203, 269, 1284, 666, 1287, 5659, 519, 2203, 547, 1118, 11236, 543, 5397, 3664, 269, 1280, 3236, 267, 649, 1223, 7447, 519, 1297, 540, 23390, 519, 3282, 1689, 6300, 2115, 547, 3028, 3747, 593, 513, 14349, 12784, 269, 9181, 519, 1739, 912, 1432, 568, 513, 4351, 4756, 888, 1692, 1131, 596, 16174, 513, 15768, 689, 513, 6024, 4351, 4756, 888, 288, 15291, 5663, 2754, 814, 8045, 513, 476, 273, 9912, 1184, 547, 1449, 519, 2298, 540, 1142, 2504, 16801, 269, 769, 519, 1101, 1900, 267, 513, 27637, 14477, 2824, 338, 476, 1428, 24195, 689, 519, 16801, 543, 11887, 2436, 789, 2743, 16551, 269, 634, 16801, 568, 2808, 11807, 3177, 1100, 811, 982, 476, 272, 15291, 14543, 547, 2743, 16551, 269, 19227, 267, 519, 3003, 16801, 1590, 581, 7318, 538, 519, 2034, 1900, 269, 8466, 1239, 2982, 602, 476, 4817, 260, 540, 519, 24195, 3812, 15666, 547, 16551, 269, 9181, 519, 1739, 912, 1432, 616, 519, 476, 275, 4162, 540, 513, 23481, 4603, 888, 4692, 649, 946, 513, 23481, 3892, 547, 2203, 713, 1184, 888, 1432, 568, 519, 5506, 602, 519, 3003, 16801, 11032, 947, 3320, 814, 547, 581, 7318, 952, 538, 1249, 476, 4817, 260, 540, 922, 24195, 14883, 547, 16551, 286, 630, 295, 842, 281, 2422, 9185, 779, 815, 289, 2562, 6865, 291, 8780, 3890, 1599, 547, 1265, 519, 5506, 8094, 1432, 568, 519, 5506, 602, 519, 16801, 568, 27235, 7608, 952, 1152, 476, 4037, 260, 540, 922, 24195, 14883, 547, 16551, 888, 11847, 569, 547, 693, 2547, 476, 273, 540, 707, 15032, 610, 707, 12200, 4759, 269, 2142, 16268, 543, 3318, 563, 2171, 1871, 938, 5561, 543, 865, 649, 2327, 602, 1018, 649, 798, 568, 476, 1911, 260, 3312, 10756, 4415, 721, 596, 616, 16798, 540, 2298, 960, 2944, 676, 938, 11727, 4966, 269, 7312, 1344, 543, 3388, 602, 596, 798, 609, 721, 568, 6854, 4625, 14804, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 763, 8605, 10288, 568, 16798, 547, 581, 3312, 269, 2107, 10249, 616, 13761, 676, 519, 1034, 4359, 4550, 13807, 698, 14705, 3301, 538, 519, 2344, 547, 26924, 602, 519, 8605, 568, 476, 1911, 260, 3312, 269, 634, 7577, 814, 513, 4642, 10892, 3609, 585, 17096, 19403, 811, 454, 763, 5131, 31280, 3609, 568, 513, 21806, 3028, 602, 519, 7577, 2488, 547, 948, 2327, 21436, 779, 2698, 9547, 609, 519, 6192, 11352, 269, 1677, 4309, 1863, 14469, 519, 7577, 3340, 602, 519, 21436, 1683, 519, 7662, 1369, 27552, 630, 1691, 264, 2395, 689, 519, 1101, 12032, 4266, 543, 1369, 513, 1974, 540, 13977, 630, 1789, 264, 2395, 585, 4744, 31277, 19403, 811, 454, 763, 7577, 568, 8149, 547, 2149, 519, 7834, 540, 519, 21436, 543, 621, 786, 2760, 1191, 961, 610, 2671, 1022, 540, 21436, 779, 2123, 1344, 267, 1519, 5491, 3556, 1239, 267, 609, 1022, 3791, 5428, 269, 2353, 519, 2228, 8852, 616, 9268, 998, 519, 5150, 543, 6325, 2228, 8569, 1949, 19403, 811, 454, 3528, 11093, 606, 1931, 609, 721, 267, 596, 3858, 547, 519, 3028, 649, 1683, 269, 1284, 786, 1439, 792, 547, 798, 782, 602, 621, 3217, 547, 5838, 513, 3102, 1957, 607, 829, 707, 4170, 269, 1284, 849, 1293, 593, 707, 9316, 547, 2327, 602, 649, 5838, 593, 713, 23626, 19403, 811, 0, 305, 18860, 639, 3751, 729, 4535, 713, 1554, 267, 4728, 476, 2190, 267, 476, 11260, 276, 269, 1261, 729, 835, 540, 519, 1129, 619, 540, 519, 772, 2529, 269, 9139, 267, 513, 14012, 547, 4789, 543, 513, 6845, 1807, 689, 1715, 3840, 269, 589, 12370, 10927, 267, 646, 729, 513, 728, 547, 2637, 269, 590, 29229, 1282, 519, 21829, 2782, 269, 2311, 476, 3953, 1296, 2025, 267, 681, 18860, 639, 3751, 729, 835, 540, 519, 21836, 30896, 693, 519, 25799, 13482, 269, 769, 513, 4633, 1500, 1354, 519, 14130, 693, 519, 942, 16713, 729, 21936, 532, 585, 1533, 3125, 267, 681, 18860, 639, 3751, 7150, 281, 834, 296, 3180, 602, 782, 4031, 3267, 25412, 3267, 1496, 338, 18561, 316, 2390, 1022, 1480, 1373, 616, 11613, 20704, 1317, 1496, 16269, 616, 316, 14669, 547, 519, 1876, 540, 2470, 267, 799, 568, 519, 1876, 540, 2696, 1701, 0, 2005, 568, 1271, 585, 513, 1870, 6109, 547, 723, 606, 16724, 630, 10193, 1572, 513, 834, 637, 573, 783, 3409, 656, 8442, 1317, 454, 320, 269, 4747, 711, 10645, 585, 8051, 5301, 568, 4503, 563, 321, 269, 6382, 21045, 12434, 1131, 1305, 1055, 513, 1184, 540, 834, 16118, 10637, 25692, 322, 269, 15895, 338, 2272, 585, 607, 1454, 607, 13977, 2600, 540, 519, 5763, 6383, 12422, 538, 519, 2136, 2276, 563, 323, 269, 1287, 649, 723, 2576, 547, 16620, 585, 519, 13542, 540, 513, 24041, 4346, 563, 324, 269, 713, 7472, 606, 2500, 24539, 547, 2015, 811, 4625, 519, 4316, 3790, 543, 519, 2640, 602, 1522, 1860, 519, 6109, 563, 26765, 529, 331, 2209, 945, 2097, 909, 585, 9550, 1169, 1079, 1296, 616, 2693, 547, 1489, 4507, 454, 320, 269, 602, 616, 6225, 547, 782, 1004, 945, 8917, 563, 321, 269, 602, 616, 6225, 1152, 547, 1346, 4961, 945, 616, 1631, 2713, 563, 322, 269, 602, 616, 6225, 547, 782, 1459, 17037, 543, 2523, 547, 2104, 5481, 540, 17037, 563, 323, 269, 602, 9153, 2038, 2640, 543, 1219, 518, 519, 3790, 1134, 883, 519, 2104, 563, 324, 269, 602, 1152, 2099, 519, 1857, 1719, 563, 291, 31034, 616, 9901, 513, 3902, 547, 946, 513, 17167, 3118, 269, 1809, 1256, 17167, 1811, 971, 607, 519, 10222, 268, 13750, 570, 3326, 3118, 2282, 9628, 1831, 8185, 7249, 6479, 1282, 519, 6640, 543, 10543, 19060, 3108, 269, 8859, 1235, 1413, 693, 513, 20316, 607, 513, 2608, 26211, 720, 265, 540, 6117, 7399, 269, 901, 5267, 602, 454, 320, 269, 519, 19060, 5662, 4564, 513, 2698, 5821, 540, 6808, 4058, 563, 321, 269, 707, 1837, 4589, 616, 4636, 538, 19101, 20316, 568, 3361, 676, 4642, 5777, 563, 322, 269, 15186, 2362, 17167, 338, 4534, 6251, 547, 519, 2344, 268, 2193, 2130, 1377, 4534, 1282, 19060, 3108, 1223, 2569, 20316, 563, 323, 269, 3395, 2551, 568, 8197, 519, 1966, 563, 14737, 3065, 13230, 4031, 616, 2966, 547, 948, 5667, 330, 2683, 4600, 267, 676, 1818, 741, 3902, 630, 342, 720, 264, 2362, 538, 519, 2344, 269, 1809, 952, 12820, 2070, 9952, 543, 5667, 330, 2683, 4074, 607, 31431, 267, 1287, 606, 2333, 538, 519, 5934, 13230, 267, 2161, 267, 689, 1269, 278, 269, 1839, 547, 1269, 1015, 269, 876, 829, 5662, 1131, 4043, 547, 454, 320, 269, 2569, 519, 2949, 3747, 630, 2017, 557, 264, 585, 1312, 5667, 330, 2683, 543, 9952, 4600, 563, 321, 269, 2569, 519, 7274, 18796, 540, 5667, 330, 2683, 4600, 543, 2333, 519, 2949, 3747, 585, 9952, 4600, 563, 322, 269, 2569, 519, 2949, 3747, 585, 5667, 330, 2683, 4600, 543, 2333, 519, 7274, 18796, 540, 5667, 330, 2683, 4600, 563, 323, 269, 2569, 519, 7274, 18796, 585, 1312, 5667, 330, 2683, 543, 9952, 4600, 563, 2005, 1131, 4440, 948, 547, 2721, 513, 3113, 585, 713, 835, 281, 14597, 519, 3761, 540, 24453, 11081, 1247, 519, 2949, 3747, 3788, 24240, 269, 901, 1131, 4043, 547, 454, 320, 269, 2569, 519, 3902, 543, 2333, 519, 7274, 18796, 563, 321, 269, 2333, 519, 3902, 543, 2333, 519, 7274, 18796, 563, 322, 269, 2569, 519, 3902, 543, 6175, 519, 7274, 18796, 563, 323, 269, 2333, 519, 3902, 543, 6175, 519, 7274, 18796, 454, 7617, 540, 519, 1739, 1131, 581, 3769, 538, 519, 2698, 3790, 540, 2504, 950, 606, 16724, 13290, 547, 7447, 1200, 2804, 7443, 888, 320, 269, 7102, 2062, 19079, 13848, 563, 321, 269, 7102, 2062, 19079, 1719, 563, 322, 269, 7102, 2062, 19079, 10519, 563, 323, 269, 2353, 540, 519, 1657, 563, 324, 269, 7183, 540, 519, 1657, 267, 1317, 1483, 8996, 11639, 1810, 1405, 2015, 834, 11296, 7443, 1701, 8307, 24192, 798, 563, 288, 865, 10777, 834, 16451, 31115, 257, 568, 2576, 945, 1281, 711, 948, 2628, 519, 3790, 540, 5370, 602, 646, 13821, 1317, 646, 454, 320, 269, 3085, 1405, 1416, 835, 3787, 827, 1010, 8284, 4961, 563, 321, 269, 11099, 602, 1010, 9878, 630, 528, 711, 9878, 264, 786, 1118, 1100, 3017, 4534, 646, 666, 1869, 2972, 519, 5370, 646, 13821, 1510, 2348, 547, 2628, 585, 873, 563, 322, 269, 4625, 14543, 547, 3494, 538, 519, 1062, 540, 11347, 9111, 563, 323, 269, 3085, 1405, 3494, 602, 1004, 1058, 723, 547, 2628, 4376, 585, 1034, 540, 519, 5370, 789, 7287, 563, 324, 269, 814, 6594, 519, 2804, 1259, 540, 3206, 543, 4121, 602, 26846, 568, 1434, 563, 22428, 519, 2344, 21757, 3902, 540, 10568, 568, 1269, 273, 269, 2004, 829, 1668, 3559, 269, 1548, 1131, 4755, 952, 10568, 6705, 7479, 12184, 519, 2229, 547, 1305, 513, 16155, 2173, 663, 730, 3902, 1489, 693, 1269, 274, 269, 4037, 829, 1668, 3559, 286, 630, 2005, 1522, 948, 952, 596, 2721, 513, 3113, 8094, 320, 269, 634, 7274, 18796, 540, 10568, 1131, 2887, 563, 321, 269, 634, 7274, 13859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29484, 28226, 910, 769, 519, 7256, 540, 8125, 775, 1547, 769, 281, 2605, 19709, 2073, 4864, 476, 2918, 267, 476, 1001, 273, 454, 268, 29484, 28226, 910, 634, 14980, 5869, 540, 2230, 2951, 1547, 769, 281, 4119, 338, 10767, 3455, 5025, 961, 613, 1889, 710, 19709, 2073, 4864, 476, 2918, 267, 476, 1001, 273, 454, 268, 6276, 681, 269, 17713, 523, 281, 3689, 2494, 3267, 533, 269, 476, 6812, 280, 630, 1001, 273, 7160, 994, 268, 17713, 523, 267, 589, 18860, 321, 745, 577, 1990, 636, 631, 1180, 267, 533, 269, 476, 13040, 454, 268, 3267, 28247, 828, 2102, 267, 519, 4332, 2897, 540, 29484, 28226, 781, 1390, 3766, 8681, 15289, 454, 268, 25391, 652, 2401, 3400, 1188, 267, 24981, 589, 1547, 281, 29484, 28226, 1547, 20167, 9586, 6807, 267, 1715, 3840, 267, 9768, 476, 7818, 268, 272, 268, 275, 3451, 280, 268, 20969, 278, 268, 277, 4586, 268, 6276, 681, 269, 17713, 523, 281, 3689, 2494, 3267, 533, 269, 476, 15946, 630, 1001, 273, 7160, 994, 268, 8331, 281, 22335, 540, 29484, 28226, 454, 268, 21011, 476, 1556, 13973, 269, 769, 281, 6611, 8421, 269, 8158, 5130, 476, 1691, 267, 476, 1001, 280, 4586, 268, 634, 26851, 4989, 476, 1428, 267, 476, 1001, 271, 281, 15525, 781, 14042, 715, 14505, 11912, 269, 910, 7046, 4484, 281, 29484, 28226, 267, 6276, 10753, 767, 331, 543, 26290, 2940, 595, 1716, 534, 20882, 15525, 711, 547, 585, 10623, 527, 2475, 3356, 538, 2230, 3408, 454, 268, 29484, 28226, 267, 3689, 2494, 593, 9855, 267, 667, 625, 693, 476, 11025, 2073, 634, 1715, 3840, 8648, 2073, 4119, 476, 1839, 267, 476, 1001, 273, 630, 653, 269, 476, 272, 268, 274, 1916, 268, 6276, 681, 269, 17713, 523, 281, 3689, 2494, 3267, 533, 269, 476, 277, 4510, 630, 1001, 273, 7160, 994, 268, 22344, 14006, 2593, 4864, 476, 279, 267, 476, 1001, 273, 281, 29484, 28226, 1635, 10139, 9839, 17889, 21988, 2991, 476, 275, 13332, 1137, 5853, 593, 20840, 776, 1488, 23065, 454, 268, 7132, 269, 2998, 4355, 2593, 281, 589, 3948, 689, 519, 8331, 8556, 15249, 3823, 29484, 28226, 781, 6051, 689, 13487, 21271, 6391, 454, 268, 2475, 16106, 29484, 28226, 568, 4666, 269, 1975, 20672, 601, 6732, 2073, 4864, 476, 1839, 267, 476, 1001, 273, 267, 15600, 593, 4864, 476, 1839, 267, 476, 1001, 273, 4586, 268, 8845, 1744, 2033, 543, 8861, 28822, 858, 281, 29484, 28226, 781, 12280, 267, 543, 513, 23566, 344, 267, 10555, 1269, 476, 277, 28985, 5590, 25557, 269, 634, 1715, 3840, 8648, 2073, 5147, 476, 2537, 267, 476, 1001, 280, 267, 15600, 5147, 476, 1839, 267, 476, 1001, 280, 4586, 268, 16588, 3778, 281, 29484, 28226, 269, 1977, 11096, 28441, 5980, 267, 15600, 4989, 476, 1321, 267, 476, 1001, 279, 630, 5976, 513, 2110, 12092, 1916, 268, 2475, 13108, 281, 13108, 7788, 25555, 3194, 26751, 1088, 1677, 2142, 715, 3139, 769, 27254, 2986, 29484, 28226, 454, 268, 11872, 593, 24613, 547, 519, 9855, 910, 29484, 28226, 269, 634, 17101, 12092, 630, 14457, 1040, 769, 281, 15932, 31359, 19709, 269, 8158, 5147, 476, 1240, 267, 476, 1001, 280, 563, 347, 3201, 9898, 2793, 20937, 715, 4456, 2464, 1475, 30265, 17641, 267, 29484, 25548, 523, 630, 21459, 2012, 10245, 21270, 6020, 9128, 23370, 31304, 303, 3582, 1475, 13563, 16106, 267, 1101, 812, 593, 519, 7599, 2008, 25238, 12442, 5508, 645, 7644, 8025, 1475, 276, 628, 4864, 476, 4350, 271, 2008, 347, 12195, 19781, 5508, 645, 7644, 8025, 1475, 310, 777, 752, 517, 9508, 2073, 11882, 267, 7330, 2008, 25238, 12442, 5508, 16692, 26059, 1475, 20606, 476, 1839, 267, 476, 1001, 273, 2008, 347, 20278, 540, 2669, 1475, 290, 32385, 10620, 2073, 11882, 267, 7330, 347, 0, 7072, 547, 11038, 19098, 454, 2421, 8361, 667, 7596, 518, 529, 267, 6424, 7788, 663, 454, 21812, 281, 7046, 7956, 9248, 585, 15173, 15158, 476, 1001, 275, 454, 10831, 540, 3817, 281, 476, 278, 4037, 454, 1607, 1257, 568, 5497, 585, 513, 1101, 1576, 538, 2606, 2883, 8051, 269, 898, 729, 8242, 547, 2992, 1699, 4139, 11038, 27561, 11621, 630, 9281, 11965, 1040, 898, 6212, 593, 4295, 13823, 2563, 11038, 19098, 3584, 602, 6474, 840, 3146, 638, 15363, 4170, 585, 1053, 14027, 547, 29329, 11038, 19098, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 808, 6185, 269, 29885, 267, 681, 13034, 269, 19555, 753, 517, 267, 590, 6185, 269, 594, 9330, 341, 747, 910, 6820, 7956, 5741, 454, 5804, 519, 3349, 540, 9115, 281, 6713, 281, 8779, 1949, 282, 4635, 8051, 585, 2298, 543, 1942, 2359, 282, 8779, 31891, 17416, 2079, 282, 10374, 3856, 3375, 1818, 281, 27018, 2079, 282, 20907, 532, 585, 4058, 543, 1852, 282, 6513, 998, 3044, 3790, 2483, 2421, 32632, 631, 269, 9546, 750, 267, 18332, 808, 269, 4787, 748, 523, 910, 3883, 289, 3019, 454, 6944, 757, 281, 11038, 27561, 16610, 282, 2423, 11789, 829, 9523, 267, 12313, 2423, 11789, 13158, 3930, 267, 3883, 10025, 829, 9523, 543, 29435, 754, 26162, 282, 634, 4886, 540, 29361, 282, 6206, 2667, 636, 6877, 282, 6820, 19098, 12983, 282, 11038, 5811, 543, 519, 15048, 540, 22418, 10046, 338, 282, 3092, 563, 2421, 15608, 5484, 670, 1195, 548, 267, 595, 269, 808, 269, 4787, 2658, 910, 25065, 2622, 11310, 454, 763, 1935, 7740, 1472, 9001, 519, 590, 7095, 1505, 281, 6998, 543, 16460, 2055, 269, 901, 1257, 6227, 3044, 3584, 538, 513, 3044, 5311, 267, 855, 1281, 865, 998, 6998, 513, 5402, 9112, 3126, 540, 2055, 2059, 609, 741, 4267, 563, 2421, 2441, 710, 13744, 1157, 910, 2160, 540, 3345, 11908, 4964, 454, 1607, 1433, 568, 513, 2877, 9295, 547, 1930, 2707, 27380, 538, 519, 1870, 2069, 1158, 269, 18838, 538, 1931, 547, 2047, 2743, 519, 2115, 540, 1200, 1053, 267, 713, 1837, 2919, 689, 3220, 269, 13744, 1157, 781, 1296, 540, 3450, 543, 7029, 547, 2500, 27380, 269, 0, 23871, 2794, 642, 4882, 24068, 267, 2475, 30760, 476, 1708, 271, 267, 27649, 538, 519, 7330, 267, 3047, 476, 2190, 18737, 30760, 538, 519, 1158, 779, 9510, 9111, 267, 3371, 649, 5941, 930, 2101, 2798, 563, 23871, 2794, 642, 4882, 24068, 1923, 27649, 8177, 2201, 519, 7330, 30760, 476, 1708, 271, 454, 291, 10735, 11686, 267, 519, 7022, 540, 519, 2136, 2276, 12851, 547, 519, 17044, 5428, 1141, 24068, 12851, 547, 519, 11180, 5428, 269, 634, 9550, 540, 476, 1708, 271, 568, 827, 11686, 642, 4882, 24068, 6735, 563, 16978, 7394, 1184, 540, 519, 7330, 454, 1103, 519, 2136, 2276, 267, 519, 9550, 1184, 585, 7446, 519, 7022, 11686, 642, 4882, 24068, 4386, 593, 519, 1101, 13638, 538, 5437, 269, 634, 1101, 13638, 1797, 519, 1554, 799, 568, 2469, 547, 2097, 1310, 519, 1101, 11728, 563, 763, 9550, 1184, 540, 7446, 11686, 642, 4882, 24068, 4386, 1169, 476, 275, 1296, 269, 3371, 519, 7022, 543, 13030, 25535, 1211, 616, 711, 5697, 609, 519, 8917, 540, 519, 1004, 269, 634, 1528, 832, 2824, 519, 7022, 543, 13030, 25535, 1211, 543, 1852, 519, 9550, 1184, 563, 763, 1528, 832, 3442, 873, 538, 519, 21146, 2852, 1184, 269, 1879, 519, 4961, 723, 2016, 741, 16018, 454, 11155, 3151, 1063, 11686, 642, 4882, 24068, 267, 513, 15810, 16771, 568, 10294, 593, 602, 13638, 3781, 269, 1809, 519, 3312, 10203, 4386, 538, 519, 1647, 540, 5412, 563, 2467, 616, 827, 476, 17734, 1528, 832, 945, 616, 1459, 547, 2824, 519, 7022, 1063, 11686, 642, 4882, 24068, 269, 634, 16771, 2115, 547, 3094, 811, 982, 3368, 540, 519, 1528, 832, 269, 634, 16771, 4991, 782, 519, 16018, 540, 519, 476, 4366, 2829, 1519, 6115, 9823, 563, 1432, 11572, 9549, 18496, 11686, 5617, 29330, 454, 291, 10735, 11686, 12851, 547, 519, 17044, 9549, 540, 519, 2136, 2276, 799, 568, 1634, 607, 717, 8008, 269, 634, 717, 8008, 568, 835, 540, 519, 1079, 2101, 15222, 748, 6105, 538, 519, 2136, 2276, 269, 634, 5428, 729, 8547, 593, 476, 736, 4728, 476, 6977, 275, 693, 681, 760, 517, 267, 16855, 269, 27050, 3534, 22413, 534, 1408, 568, 519, 17348, 17367, 540, 519, 5428, 269, 6115, 9823, 568, 519, 10361, 638, 6621, 540, 519, 717, 8008, 269, 634, 17044, 5428, 6763, 1996, 519, 2333, 540, 586, 5803, 543, 7028, 2804, 1646, 543, 8106, 12666, 1143, 563, 1432, 11572, 9549, 15608, 24068, 5617, 29330, 454, 297, 4141, 24068, 12851, 547, 519, 14891, 5428, 540, 519, 2136, 2276, 269, 634, 5428, 568, 835, 540, 519, 1079, 2101, 15222, 748, 6105, 538, 519, 2136, 2276, 269, 634, 5428, 729, 8547, 538, 476, 9264, 271, 269, 12448, 12722, 568, 519, 13653, 540, 519, 5428, 269, 853, 523, 344, 670, 1195, 518, 568, 519, 5600, 5354, 6205, 269, 932, 3089, 5576, 10179, 568, 519, 14130, 19724, 640, 6205, 269, 1358, 3494, 538, 9494, 519, 1604, 267, 4509, 1514, 7862, 267, 3092, 269, 634, 11686, 642, 4882, 24068, 6735, 2306, 1346, 6105, 811, 1271, 563, 763, 4346, 540, 519, 7330, 454, 6097, 547, 519, 1867, 540, 519, 2622, 7813, 538, 476, 1001, 279, 267, 519, 12654, 610, 519, 24162, 23582, 8605, 540, 519, 2197, 568, 476, 736, 269, 7918, 32763, 15867, 637, 20430, 269, 1358, 723, 519, 1283, 2990, 538, 12654, 7584, 269, 769, 476, 1001, 280, 267, 519, 12654, 829, 21027, 568, 1269, 476, 4792, 267, 12208, 269, 634, 12654, 829, 21027, 7584, 540, 713, 2197, 568, 476, 278, 269, 2136, 2276, 814, 519, 5207, 4346, 676, 22194, 12654, 543, 676, 623, 13048, 263, 623, 3420, 2084, 5295, 3474, 640, 264, 519, 2136, 2276, 4991, 519, 2034, 2990, 563, 1103, 4156, 15329, 566, 538, 3013, 454, 2467, 616, 513, 2603, 540, 4128, 585, 4835, 19374, 538, 519, 2136, 2276, 269, 634, 19374, 2049, 585, 2804, 267, 1514, 267, 610, 2686, 2924, 269, 3509, 1004, 6336, 741, 5321, 267, 666, 1406, 1205, 1022, 1426, 267, 1205, 8959, 547, 3247, 4357, 1303, 527, 956, 269, 14755, 267, 519, 1292, 2601, 568, 519, 8635, 269, 634, 1480, 1318, 1996, 7862, 568, 519, 1292, 2601, 585, 4835, 19374, 538, 3013, 269, 11686, 642, 4882, 24068, 454, 17357, 517, 8785, 8177, 2201, 519, 7330, 30760, 476, 1708, 271, 454, 763, 27649, 695, 7491, 1524, 782, 519, 1870, 689, 1507, 547, 1804, 267, 13515, 2564, 5838, 625, 267, 4229, 2898, 7239, 269, 634, 17037, 945, 616, 2469, 547, 2212, 2509, 519, 3440, 582, 4216, 616, 476, 31973, 538, 513, 1297, 1572, 5600, 13222, 269, 3371, 476, 3374, 16295, 616, 1433, 539, 585, 6845, 622, 16295, 543, 476, 1724, 16295, 616, 585, 1827, 832, 4721, 563, 4692, 30760, 6905, 538, 519, 2475, 454, 7197, 540, 519, 2829, 1616, 547, 7903, 519, 9550, 540, 11686, 642, 4882, 24068, 1394, 693, 2547, 538, 4873, 269, 1809, 2687, 547, 519, 4341, 540, 476, 7277, 276, 267, 713, 949, 2049, 593, 519, 1101, 13638, 540, 5437, 563, 6097, 547, 7905, 9400, 700, 13201, 523, 2160, 540, 4993, 267, 606, 9550, 25237, 4274, 267, 11686, 610, 1533, 6608, 1223, 946, 741, 6595, 7060, 547, 20427, 1225, 18571, 538, 16512, 13359, 6753, 269, 11686, 642, 4882, 24068, 563, 763, 7330, 30760, 476, 1708, 271, 8177, 593, 18831, 454, 4002, 476, 275, 5437, 476, 1708, 271, 267, 519, 7330, 30760, 538, 7446, 11686, 642, 4882, 24068, 568, 2469, 547, 2049, 269, 11686, 779, 3375, 2337, 3127, 538, 1585, 2081, 269, 3127, 4991, 513, 24845, 8878, 18294, 543, 2362, 5232, 540, 7580, 11558, 563, 763, 7330, 268, 6576, 454, 763, 6935, 1063, 519, 7330, 543, 519, 2197, 568, 20320, 543, 4123, 4509, 563, 2026, 829, 519, 1344, 689, 519, 589, 3201, 7968, 267, 3013, 814, 827, 476, 4968, 271, 3549, 602, 616, 1459, 538, 6576, 269, 1656, 519, 2136, 2276, 568, 4509, 5718, 607, 513, 4914, 2754, 563, 2026, 1312, 540, 519, 2477, 3068, 6587, 5011, 593, 1022, 3390, 267, 789, 723, 930, 9316, 2127, 547, 4194, 621, 269, 1358, 960, 1927, 543, 1118, 3972, 609, 1142, 824, 585, 519, 1732, 618, 540, 519, 6082, 563, 763, 2136, 2276, 543, 6576, 1312, 2285, 2866, 547, 519, 4108, 1927, 585, 4831, 268, 614, 2928, 1235, 269, 1358, 2285, 2866, 538, 5125, 563, 763, 7330, 1107, 3624, 454, 763, 6935, 1063, 519, 7330, 543, 519, 2197, 568, 1152, 9467, 4509, 269, 1809, 607, 649, 917, 972, 568, 513, 4123, 2112, 1063, 891, 2477, 267, 602, 779, 1946, 789, 2141, 2611, 8396, 563, 763, 24845, 21045, 540, 3624, 3947, 13253, 547, 519, 7330, 4123, 4346, 269, 1809, 519, 2949, 2208, 540, 519, 2136, 2276, 568, 2318, 563, 13828, 2477, 723, 5249, 1927, 593, 2916, 1689, 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 ]
[ 270, 273, 547, 476, 6110, 616, 11280, 676, 519, 1297, 540, 23761, 829, 5276, 10759, 538, 519, 521, 10079, 269, 634, 1739, 15007, 568, 1031, 547, 21656, 9325, 2450, 676, 17450, 25084, 912, 273, 589, 2596, 3391, 547, 9325, 18572, 476, 273, 269, 14568, 1620, 540, 2472, 267, 5820, 543, 3157, 769, 1840, 547, 9013, 1587, 2298, 267, 513, 1732, 1620, 540, 875, 9325, 3601, 1860, 707, 2472, 267, 5820, 543, 3157, 786, 1450, 596, 547, 281, 3040, 2087, 1587, 2773, 3040, 23676, 2393, 5663, 543, 3761, 2152, 454, 763, 9325, 20695, 3892, 630, 4916, 291, 264, 540, 513, 8869, 267, 610, 30704, 1570, 267, 610, 5536, 24797, 538, 5714, 267, 568, 513, 1592, 540, 2418, 610, 513, 6310, 1599, 602, 11225, 519, 3448, 2179, 267, 3335, 676, 2527, 267, 540, 5536, 1459, 2687, 547, 2450, 269, 31056, 1648, 568, 2356, 2838, 547, 30477, 3433, 3037, 267, 3092, 269, 5536, 883, 519, 13662, 291, 602, 568, 1287, 1572, 513, 10286, 2450, 3892, 563, 26364, 4193, 540, 23611, 5452, 568, 1813, 547, 519, 7344, 2962, 540, 1896, 4229, 281, 13496, 267, 1352, 2130, 267, 11493, 267, 5969, 267, 11508, 543, 16580, 267, 547, 799, 5452, 616, 16271, 267, 4470, 593, 519, 1374, 952, 519, 1984, 1031, 585, 8860, 630, 28948, 1984, 267, 17200, 1984, 267, 10007, 1984, 610, 3440, 1984, 1040, 1635, 7311, 891, 4429, 22998, 1858, 540, 7912, 1984, 815, 273, 544, 1535, 273, 544, 1535, 274, 269, 274, 332, 815, 1724, 269, 2537, 544, 274, 4935, 267, 476, 271, 269, 4817, 273, 8406, 8276, 274, 10760, 7912, 7452, 3812, 829, 1554, 269, 8633, 269, 12164, 12710, 4785, 12778, 281, 901, 1353, 729, 5340, 585, 513, 7912, 1984, 609, 6093, 17163, 1072, 2042, 269, 634, 1977, 10985, 540, 6554, 531, 11633, 5754, 8162, 1235, 630, 3722, 22835, 295, 264, 11225, 7912, 454, 15037, 476, 6734, 267, 476, 1001, 274, 6440, 6356, 540, 7912, 9325, 2450, 593, 2890, 560, 24780, 267, 18212, 1670, 543, 1610, 4815, 1606, 29022, 4162, 540, 3694, 543, 5045, 4095, 1612, 27198, 269, 3267, 2095, 6656, 540, 1984, 267, 521, 604, 614, 20146, 1407, 6679, 267, 1826, 543, 519, 16369, 540, 20061, 269, 3267, 634, 6656, 539, 14859, 729, 19323, 593, 3905, 30066, 693, 2837, 540, 476, 5197, 9180, 585, 476, 273, 1295, 267, 621, 729, 5828, 1169, 476, 1789, 338, 282, 827, 476, 276, 575, 540, 3282, 729, 4429, 20225, 476, 6021, 267, 476, 1001, 280, 6440, 634, 17200, 1984, 568, 835, 540, 519, 1034, 4122, 1031, 16491, 906, 585, 3819, 8860, 267, 4440, 7064, 547, 519, 1970, 3854, 5092, 3238, 538, 922, 10380, 543, 519, 16134, 540, 922, 1376, 5346, 269, 1306, 513, 2489, 4341, 609, 7638, 323, 15530, 3937, 267, 713, 1062, 568, 2966, 547, 3132, 513, 11491, 592, 6248, 3892, 3977, 540, 476, 3445, 260, 2999, 272, 6515, 267, 1247, 1152, 476, 273, 260, 540, 519, 3977, 1587, 568, 936, 476, 273, 6515, 563, 7474, 519, 3049, 1984, 568, 3246, 519, 4998, 3575, 540, 5536, 538, 513, 32311, 269, 676, 634, 14502, 12243, 267, 5754, 6441, 710, 269, 3267, 630, 273, 268, 275, 7825, 8006, 1040, 14066, 1612, 2389, 1834, 14680, 568, 2877, 547, 1292, 268, 3267, 16376, 11491, 592, 5852, 543, 519, 2956, 540, 3049, 9325, 2450, 538, 6106, 454, 8512, 1834, 12025, 543, 9208, 8061, 2747, 17029, 2401, 7085, 543, 8621, 1067, 17524, 593, 12397, 2475, 1948, 273, 14117, 12397, 476, 4968, 476, 6110, 476, 4335, 476, 7785, 476, 10384, 476, 8517, 476, 12010, 476, 1911, 271, 476, 273, 476, 273, 269, 276, 476, 274, 476, 274, 269, 276, 17029, 2401, 7085, 8621, 1067, 17524, 4208, 1184, 693, 782, 286, 4208, 1184, 693, 782, 286, 2986, 1576, 267, 519, 2626, 568, 6038, 3049, 4398, 267, 6721, 519, 1034, 5144, 267, 5798, 267, 5779, 610, 6693, 27908, 11491, 592, 5852, 476, 273, 910, 634, 24533, 25416, 8433, 268, 3440, 1984, 12068, 10386, 267, 27908, 11491, 592, 5852, 476, 273, 267, 634, 1353, 540, 519, 11491, 592, 5852, 2059, 519, 3440, 1984, 476, 274, 267, 634, 2164, 2079, 609, 267, 25679, 476, 272, 281, 634, 5786, 4667, 547, 581, 1434, 909, 547, 519, 3791, 3732, 855, 972, 568, 606, 13250, 540, 4608, 6350, 1117, 5536, 693, 519, 954, 1889, 11053, 300, 7177, 22387, 1155, 11831, 4586, 22873, 658, 11491, 592, 5852, 476, 4335, 3193, 18725, 332, 15937, 1710, 8864, 476, 271, 267, 276, 383, 371, 1015, 3193, 9832, 18725, 332, 7085, 2450, 476, 736, 6515, 1315, 476, 272, 270, 273, 257, 17435, 5014, 476, 1220, 343, 20065, 343, 277, 3583, 6515, 13379, 476, 1015, 4846, 14330, 476, 4510, 476, 271, 267, 274, 715, 332, 274, 26553, 269, 476, 271, 267, 4905, 1295, 268, 271, 267, 277, 3193, 476, 4335, 3193, 18725, 332, 476, 271, 267, 276, 383, 371, 1015, 3193, 9832, 18725, 332, 476, 4510, 6515, 1315, 476, 272, 476, 274, 270, 275, 257, 476, 20542, 311, 29496, 311, 25953, 6515, 476, 1839, 4846, 623, 6579, 5588, 700, 12114, 14330, 476, 2004, 1315, 14330, 476, 1911, 1315, 14330, 476, 5611, 570, 20168, 13965, 667, 4953, 288, 6579, 306, 14330, 476, 2004, 454, 5978, 4702, 3435, 1331, 519, 1374, 543, 5663, 540, 32591, 14200, 630, 18485, 18700, 543, 10353, 1070, 1350, 913, 10833, 543, 533, 928, 9964, 6655, 832, 269, 12130, 668, 659, 514, 1794, 7748, 666, 2709, 3044, 610, 4628, 16419, 3937, 2687, 547, 5561, 262, 14871, 18859, 618, 10410, 5874, 563, 297, 4953, 631, 6579, 11862, 834, 300, 2975, 305, 2177, 4953, 15288, 257, 630, 10157, 264, 11491, 592, 5852, 3193, 13859, 281, 2999, 476, 272, 6515, 269, 3803, 11491, 592, 5852, 24276, 281, 2999, 476, 1015, 25050, 11327, 4390, 281, 689, 476, 1015, 4846, 10774, 547, 476, 1911, 271, 4846, 10774, 12164, 292, 631, 6579, 11862, 634, 13409, 1984, 18328, 3126, 568, 851, 540, 519, 1164, 2298, 1587, 2039, 2919, 676, 715, 308, 23701, 717, 27516, 302, 936, 519, 454, 17524, 3156, 630, 5408, 7612, 476, 273, 1040, 9474, 289, 729, 13752, 519, 4579, 547, 16491, 14200, 540, 713, 1826, 2443, 693, 476, 1240, 24448, 267, 519, 1034, 3532, 8258, 268, 613, 1563, 14200, 2479, 3710, 269, 3267, 11491, 592, 5852, 269, 4119, 13586, 8261, 5106, 540, 8860, 14200, 609, 12829, 27908, 12814, 666, 581, 3379, 547, 1210, 6693, 20062, 3951, 7968, 4338, 2207, 476, 273, 589, 2596, 3391, 547, 9325, 18572, 476, 273, 269, 14568, 1620, 540, 2472, 267, 5820, 543, 3157, 769, 1840, 547, 9013, 1587, 2298, 267, 513, 1732, 1620, 540, 875, 9325, 454, 12953, 22332, 283, 10170, 270, 281, 3436, 273, 20324, 274, 21850, 29767, 16376, 9325, 2450, 568, 606, 1419, 27492, 331, 10541, 2460, 540, 16738, 2504, 269, 1160, 3027, 619, 1058, 711, 8263, 602, 3049, 568, 540, 513, 7833, 2450, 543, 4630, 10942, 3585, 6404, 267, 610, 602, 519, 3049, 1984, 568, 3246, 519, 4998, 3575, 540, 5536, 538, 513, 454, 18893, 673, 11491, 592, 5852, 568, 519, 1184, 540, 7893, 519, 1114, 10286, 7306, 538, 513, 30704, 1570, 267, 1759, 593, 513, 8523, 269, 22897, 814, 1044, 2813, 547, 5659, 513, 8523, 543, 1711, 7194, 1759, 593, 1018, 519, 4605, 28420, 269, 901, 1344, 568, 4105, 538, 4509, 12227, 538, 1585, 23194, 5001, 563, 4252, 1984, 12068, 10386, 910, 5437, 476, 6021, 267, 476, 6349, 1635, 31368, 300, 1456, 476, 4792, 22227, 7085, 11491, 592, 5852, 476, 273, 910, 634, 24533, 25416, 8433, 268, 3440, 1984, 12068, 10386, 267, 27908, 11491, 592, 5852, 476, 273, 267, 634, 1353, 540, 519, 11491, 592, 5852, 2059, 519, 3440, 1984, 476, 274, 267, 634, 2164, 2079, 609, 267, 25679, 476, 272, 281, 634, 5786, 4667, 547, 581, 1434, 909, 547, 519, 3791, 3732, 855, 972, 568, 606, 13250, 4586, 763, 3203, 2986, 19457, 543, 1862, 3412, 698, 1588, 269, 5851, 282, 6168, 2974, 282, 7896, 269, 25416, 12229, 282, 13693, 3599, 282, 9751, 20043, 282, 6726, 2209, 6732, 454, 7474, 4144, 2418, 616, 6659, 547, 519, 20800, 2418, 540, 476, 274, 543, 476, 273, 3079, 540, 476, 275, 543, 476, 274, 269, 634, 20902, 1106, 540, 519, 4834, 2938, 1657, 585, 667, 275, 267, 274, 543, 667, 274, 267, 273, 568, 3254, 2630, 630, 31742, 532, 519, 14908, 689, 1201, 269, 476, 273, 267, 30680, 661, 476, 278, 4200, 267, 15426, 7316, 281, 667, 815, 519, 936, 8663, 538, 667, 1374, 919, 606, 19011, 1645, 1184, 630, 335, 268, 336, 264, 335, 285, 336, 815, 519, 15821, 1379, 540, 667, 335, 336, 4144, 815, 519, 8006, 540, 519, 476, 603, 4429, 321, 1197, 1137, 9137, 589, 22414, 5530, 540, 16959, 543, 22911, 631, 3739, 540, 4446, 2917, 631, 5306, 543, 4706, 769, 23807, 480, 340, 775, 593, 21081, 592, 5852, 543, 654, 677, 23531, 21634, 6559, 28828, 4275, 632, 631, 2227, 9517, 543, 774, 328, 6210, 681, 5255, 320, 13121, 16114, 657, 4569, 5362, 2608, 9517, 12524, 540, 12113, 7695, 5303, 267, 8549, 6693, 19119, 540, 519, 2480, 531, 762, 6997, 3590, 12814, 630, 306, 11862, 264, 634, 590, 11862, 3091, 2947, 17819, 3435, 1369, 835, 3684, 269, 22732, 17819, 9843, 1369, 7643, 267, 609, 938, 12829, 5937, 25018, 21508, 351, 2029, 585, 4443, 681, 22936, 4152, 907, 1879, 3384, 1007, 2472, 621, 568, 4105, 602, 2164, 6913, 538, 519, 2978, 666, 581, 11843, 547, 2504, 563, 273, 269, 273, 269, 1677, 798, 1592, 19926, 10049, 2877, 910, 1325, 29837, 8869, 910, 631, 3739, 20220, 267, 17819, 19273, 267, 16945, 3684, 910, 11778, 540, 2450, 14778, 630, 29592, 543, 1310, 17819, 264, 910, 18200, 541, 1984, 267, 3666, 4977, 547, 476, 271, 269, 4905, 326, 267, 22883, 10358, 267, 15524, 12069, 910, 5080, 2399, 656, 3435, 4712, 630, 272, 1993, 1629, 514, 1968, 1242, 1216, 11547, 11480, 543, 1772, 641, 1886, 2643, 4568, 264, 19926, 26488, 910, 19809, 540, 17819, 4429, 292, 514, 32489, 345, 580, 525, 1234, 2763, 696, 5378, 32489, 655, 32489, 345, 3394, 5905, 1606, 10547, 2144, 331, 879, 23336, 15191, 345, 339, 1629, 7358, 1807, 5884, 554, 7238, 577, 4614, 2274, 32218, 580, 651, 527, 538, 3541, 5484, 583, 345, 2426, 3768, 4325, 545, 615, 2426, 13153, 1234, 2763, 696, 523, 267, 5884, 13153, 3954, 2142, 345, 773, 327, 684, 2102, 796, 614, 3954, 2098, 583, 22760, 1990, 584, 918, 6339, 933, 1047, 630, 342, 601, 3832, 13153, 32489, 655, 694, 15590, 7254, 1111, 655, 715, 633, 879, 24166, 2725, 25632, 20312, 1990, 340, 32489, 655, 708, 1067, 588, 7564, 337, 5287, 715, 633, 879, 24166, 717, 4471, 29967, 5378, 9240, 828, 21081, 592, 2210, 4471, 1083, 328, 7967, 737, 2335, 264, 3768, 1990, 584, 2357, 331, 836, 1084, 2274, 626, 2426, 538, 4846, 10774, 2520, 1156, 563, 21801, 476, 1015, 267, 476, 1001, 279, 6440, 2311, 519, 594, 17569, 16927, 2742, 538, 30912, 267, 717, 6504, 564, 1729, 590, 836, 10620, 3181, 3176, 922, 1007, 717, 6311, 299, 4839, 2759, 614, 269, 634, 1007, 3684, 6971, 519, 11491, 592, 5852, 540, 4839, 689, 476, 10384, 268, 8517, 8020, 6425, 547, 476, 7742, 8020, 6425, 538, 513, 2582, 1184, 269, 634, 1267, 568, 24267, 2898, 326, 1778, 7912, 3501, 585, 519, 4170, 540, 519, 1426, 4393, 2872, 269, 769, 1840, 547, 12419, 1164, 7779, 7912, 267, 23611, 4393, 12958, 20965, 19119, 540, 519, 2480, 531, 762, 6997, 3590, 12814, 630, 306, 11862, 264, 2290, 3684, 5356, 2947, 17819, 543, 4393, 3435, 269, 4635, 12829, 5937, 25018, 21508, 351, 2029, 267, 519, 9843, 666, 581, 2220, 11474, 1369, 7643, 609, 1100, 1305, 909, 2838, 907, 634, 590, 11862, 3947, 519, 15260, 4269, 602, 9325, 7306, 543, 14778, 6913, 538, 519, 2978, 666, 581, 2047, 11843, 547, 519, 2504, 8397, 3937, 563, 6011, 547, 1689, 519, 11491, 592, 5852, 540, 2890, 1984, 875, 547, 1689, 519, 11491, 592, 5852, 540, 2890, 1984, 910, 267, 513, 3391, 1504, 547, 9325, 2450, 2079, 910, 9710, 756, 320, 1015, 17553, 9325, 2450, 16551, 17392, 4493, 634, 1034, 6654, 1383, 568, 17819, 630, 528, 2450, 5786, 676, 2702, 547, 2268, 24519, 267, 2890, 543, 6011, 547, 1689, 519, 11491, 592, 5852, 540, 2890, 1984, 267, 8512, 1834, 3267, 0, 2252, 519, 2179, 540, 7791, 1216, 538, 513, 2197, 568, 2630, 476, 272, 267, 544, 476, 274, 829, 1268, 829, 1032, 267, 602, 2197, 568, 1767, 547, 581, 7680, 1216, 2566, 282, 2630, 476, 272, 267, 544, 476, 274, 621, 568, 1767, 547, 581, 7680, 1216, 20317, 282, 543, 2630, 544, 476, 274, 2073, 6207, 1216, 20317, 476, 272, 563, 10666, 6820, 4826, 17072, 454, 763, 1216, 2566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30955, 630, 6195, 288, 267, 476, 3707, 276, 1040, 3816, 1046, 2406, 267, 972, 729, 1100, 19359, 1063, 519, 3465, 6342, 2394, 713, 1974, 269, 2991, 519, 5822, 2622, 2782, 8694, 267, 593, 476, 1428, 4864, 476, 3707, 276, 267, 5518, 17487, 364, 338, 5471, 17487, 364, 333, 7238, 333, 6686, 2366, 513, 7249, 7806, 17419, 5048, 547, 519, 5518, 540, 3624, 267, 15616, 836, 918, 2967, 4149, 515, 330, 267, 14120, 1010, 11802, 936, 3567, 630, 6195, 288, 267, 476, 3707, 276, 320, 1040, 901, 4564, 519, 1101, 19359, 1063, 519, 3465, 6342, 269, 769, 476, 3707, 278, 267, 9149, 23621, 17578, 340, 729, 12912, 607, 519, 4457, 19264, 26513, 547, 1323, 330, 4673, 269, 2991, 519, 14556, 2305, 540, 519, 3540, 2112, 538, 3624, 543, 519, 20185, 602, 15089, 329, 532, 1131, 581, 5116, 896, 21340, 4341, 267, 519, 15349, 14579, 12080, 10288, 519, 19264, 26513, 547, 11198, 547, 15173, 15158, 269, 4935, 267, 1310, 519, 14897, 766, 540, 519, 6243, 540, 3624, 267, 519, 15349, 2229, 1223, 711, 3313, 1018, 10182, 547, 1491, 267, 4611, 538, 20320, 1894, 1373, 2759, 1055, 563, 19770, 779, 9314, 538, 519, 15349, 7169, 454, 6524, 20320, 1894, 1063, 11894, 543, 519, 6243, 540, 3624, 941, 3964, 267, 1719, 538, 519, 15349, 7169, 538, 3624, 729, 1164, 269, 9737, 476, 4572, 271, 543, 476, 4350, 271, 267, 513, 2698, 540, 476, 5379, 2797, 8292, 543, 5359, 729, 2854, 538, 14786, 543, 17476, 827, 519, 918, 655, 531, 626, 7169, 543, 15024, 267, 519, 476, 5002, 279, 7169, 267, 543, 519, 2782, 540, 14412, 630, 31800, 267, 476, 1708, 272, 281, 476, 7761, 268, 6507, 1040, 898, 568, 2614, 547, 1413, 693, 519, 11606, 540, 5359, 538, 519, 4457, 2046, 547, 1174, 3624, 779, 7920, 1719, 538, 2311, 520, 14660, 330, 543, 519, 918, 655, 531, 626, 7169, 269, 3245, 476, 4489, 280, 547, 476, 3707, 280, 267, 476, 278, 3393, 4930, 941, 2854, 827, 2311, 520, 14660, 330, 779, 1272, 543, 6560, 538, 519, 4457, 2046, 630, 2704, 534, 267, 476, 1708, 271, 281, 476, 2641, 268, 2918, 1916, 6524, 9591, 20320, 1894, 1063, 519, 1079, 2477, 267, 26757, 2098, 7776, 10202, 519, 4457, 19264, 26513, 547, 519, 2136, 2276, 267, 10272, 11894, 538, 476, 4572, 276, 269, 769, 1010, 7422, 267, 519, 19264, 26513, 7150, 602, 11894, 729, 538, 513, 1454, 8338, 3510, 982, 3624, 693, 519, 1439, 540, 519, 2622, 2782, 594, 267, 855, 538, 476, 274, 1296, 267, 3624, 546, 22981, 922, 10546, 883, 519, 4262, 267, 9896, 519, 5487, 639, 22828, 13458, 15521, 267, 27618, 922, 1698, 527, 2827, 267, 3964, 513, 1007, 12512, 267, 543, 6385, 2919, 543, 3710, 513, 1007, 3854, 563, 1103, 1880, 267, 519, 4457, 17009, 520, 729, 13631, 676, 11894, 779, 6297, 3375, 711, 547, 10210, 4914, 9304, 543, 922, 759, 5193, 18879, 593, 13373, 5109, 1698, 527, 2827, 269, 634, 5605, 26513, 5156, 602, 972, 941, 1082, 1271, 2798, 602, 3624, 1223, 1451, 689, 538, 713, 5462, 10182, 540, 11894, 2509, 4914, 7060, 269, 769, 1010, 12591, 267, 646, 7682, 539, 602, 11894, 779, 3811, 2833, 616, 513, 4704, 585, 3624, 267, 1498, 646, 17019, 602, 519, 15349, 1383, 1223, 711, 581, 4294, 4010, 630, 293, 573, 534, 267, 476, 1001, 280, 281, 476, 7871, 268, 2568, 1040, 3371, 267, 6236, 519, 1514, 3604, 1063, 3624, 543, 11894, 267, 519, 5605, 26513, 2219, 621, 729, 1318, 547, 1491, 11894, 607, 606, 1383, 609, 513, 7463, 5133, 593, 3624, 563, 295, 340, 12390, 2381, 543, 6129, 3223, 4371, 513, 5870, 609, 17487, 364, 338, 5471, 17487, 364, 333, 7238, 333, 6686, 267, 519, 11788, 10579, 540, 11894, 269, 13535, 12390, 2381, 729, 24330, 676, 11894, 779, 3811, 15024, 543, 25442, 569, 7150, 602, 11894, 1058, 581, 3144, 607, 606, 1383, 563, 763, 3643, 540, 13535, 12390, 2381, 630, 420, 481, 350, 418, 365, 487, 418, 364, 495, 264, 543, 16010, 10579, 6129, 3223, 630, 11858, 503, 26175, 495, 264, 274, 547, 11894, 538, 476, 4572, 279, 729, 1271, 547, 24845, 1894, 1063, 11894, 543, 3624, 269, 4014, 24845, 1894, 1185, 711, 1044, 13166, 3964, 2943, 267, 713, 729, 519, 5207, 7400, 3643, 540, 3624, 547, 11894, 269, 13535, 12390, 2381, 543, 6129, 3223, 941, 2043, 945, 4371, 1713, 2797, 2597, 538, 519, 27173, 4040, 339, 836, 269, 634, 15518, 566, 4767, 1514, 1689, 267, 3872, 4254, 16478, 267, 16642, 15024, 267, 519, 8863, 303, 630, 11847, 3016, 534, 4658, 779, 9549, 1070, 543, 15349, 18541, 538, 11894, 269, 769, 1840, 267, 13535, 12390, 2381, 543, 6129, 3223, 4371, 513, 5870, 609, 17487, 364, 338, 5471, 17487, 364, 333, 7238, 333, 6686, 267, 519, 11788, 10579, 540, 11894, 269, 13535, 12390, 2381, 729, 24330, 676, 11894, 779, 3811, 15024, 543, 25442, 569, 7150, 602, 11894, 1058, 581, 3144, 607, 606, 1383, 630, 293, 573, 534, 267, 476, 1001, 280, 281, 476, 7830, 268, 476, 10463, 1040, 2991, 713, 3643, 267, 1894, 1063, 519, 1079, 2477, 2919, 6385, 543, 15518, 566, 11564, 547, 7747, 11894, 2799, 563, 1103, 519, 476, 4350, 271, 338, 267, 3624, 779, 1719, 538, 519, 15349, 7169, 7930, 2799, 269, 898, 568, 2009, 547, 1174, 713, 689, 519, 2333, 538, 519, 11564, 540, 519, 4457, 15518, 725, 547, 4983, 519, 15349, 7169, 5702, 269, 634, 1101, 4013, 3643, 729, 538, 476, 4350, 271, 676, 513, 4457, 4108, 15518, 566, 540, 1614, 267, 9967, 540, 4937, 966, 517, 330, 631, 5622, 14576, 267, 29962, 595, 523, 330, 28270, 267, 543, 15815, 582, 631, 269, 966, 269, 932, 1470, 269, 634, 15518, 566, 7150, 602, 968, 5472, 540, 3624, 5205, 519, 15349, 6107, 543, 26201, 609, 1390, 10083, 543, 7071, 6100, 898, 849, 14129, 602, 968, 1492, 4457, 4111, 757, 807, 6444, 543, 6068, 18771, 2378, 320, 918, 655, 531, 607, 519, 6574, 23920, 6100, 634, 15518, 566, 729, 5461, 538, 26201, 267, 2523, 519, 4838, 540, 519, 15349, 9904, 543, 1336, 8343, 1360, 4829, 995, 269, 898, 6829, 968, 1692, 3624, 2808, 12561, 5824, 5022, 1310, 11894, 607, 519, 3391, 547, 519, 10340, 540, 519, 5101, 269, 1717, 267, 538, 741, 2689, 267, 789, 7150, 602, 621, 729, 711, 1483, 12264, 2009, 267, 865, 789, 5249, 547, 1118, 2542, 519, 2025, 5022, 4443, 676, 31925, 543, 3044, 1944, 873, 892, 630, 290, 636, 327, 584, 12011, 564, 267, 476, 4350, 271, 281, 476, 273, 282, 476, 4350, 271, 320, 281, 476, 273, 1916, 763, 2034, 4013, 3643, 729, 519, 3643, 540, 519, 4457, 4108, 15518, 566, 547, 594, 30955, 543, 1323, 330, 4673, 593, 476, 1704, 5988, 476, 4350, 275, 547, 7747, 519, 15349, 7952, 269, 634, 15518, 566, 15538, 540, 15089, 329, 532, 13639, 9142, 19524, 4937, 18708, 1744, 12011, 525, 514, 630, 2419, 8811, 19053, 28702, 11809, 714, 327, 784, 13127, 376, 369, 418, 366, 375, 18809, 1070, 29962, 670, 12320, 836, 267, 31924, 29962, 966, 5622, 267, 18279, 16441, 1924, 2967, 26757, 6614, 327, 267, 31924, 570, 880, 534, 700, 5622, 267, 543, 1849, 17064, 26280, 269, 2991, 10647, 4108, 2090, 538, 3013, 543, 2342, 267, 519, 15518, 566, 10272, 519, 4108, 3046, 13715, 538, 11894, 630, 290, 636, 327, 584, 12011, 564, 267, 476, 4350, 275, 281, 476, 272, 268, 275, 282, 476, 4350, 275, 320, 1040, 634, 2212, 540, 519, 15518, 566, 7150, 602, 789, 941, 1360, 20938, 547, 723, 519, 4316, 547, 1205, 547, 917, 519, 1762, 6243, 1732, 269, 1261, 7150, 602, 1010, 5784, 593, 519, 15349, 7952, 941, 1360, 1271, 585, 3624, 269, 769, 1840, 267, 519, 15518, 566, 729, 849, 7608, 676, 2311, 520, 14660, 330, 269, 634, 2212, 540, 519, 15518, 566, 7150, 875, 11894, 1185, 1500, 1271, 26201, 538, 513, 2110, 942, 543, 9782, 6385, 1813, 547, 922, 3407, 6205, 269, 1261, 896, 20040, 1010, 25621, 585, 2311, 520, 14660, 330, 538, 519, 1646, 540, 11894, 543, 15091, 519, 3668, 540, 971, 513, 6205, 538, 519, 4457, 7169, 630, 290, 636, 327, 584, 12011, 564, 267, 476, 4350, 275, 321, 281, 476, 272, 268, 275, 282, 476, 4350, 275, 324, 281, 476, 273, 1916, 19770, 814, 2016, 2027, 3007, 547, 519, 1353, 540, 519, 15349, 7169, 547, 2844, 922, 2804, 267, 4108, 267, 543, 2797, 1646, 269, 2201, 476, 1691, 4873, 476, 4350, 275, 267, 513, 15518, 566, 540, 476, 275, 1004, 9967, 540, 631, 269, 26284, 267, 631, 269, 10787, 571, 328, 26284, 267, 631, 269, 2098, 269, 667, 269, 1744, 340, 267, 543, 631, 269, 32264, 11146, 8452, 269, 634, 15518, 566, 8947, 519, 17044, 12512, 267, 922, 2640, 267, 2324, 2511, 267, 543, 1062, 538, 1323, 330, 4673, 547, 10891, 513, 1982, 602, 1131, 7794, 3624, 20019, 543, 25432, 269, 634, 2212, 540, 519, 15518, 566, 7150, 602, 789, 10272, 519, 12233, 2324, 538, 519, 14579, 12080, 538, 15089, 329, 532, 547, 6655, 741, 18362, 269, 634, 15518, 566, 6205, 14129, 875, 11894, 729, 519, 1034, 7415, 2197, 547, 10929, 2101, 26201, 543, 1646, 1282, 922, 18362, 269, 1261, 7150, 602, 11894, 568, 519, 2197, 602, 789, 2628, 519, 1034, 3007, 547, 269, 634, 28579, 540, 519, 15518, 566, 15091, 602, 621, 568, 606, 1271, 13766, 547, 7747, 11894, 5702, 267, 799, 568, 22993, 676, 513, 21184, 6205, 543, 3407, 5234, 1472, 1864, 269, 630, 290, 636, 327, 584, 12011, 564, 267, 476, 4350, 275, 322, 281, 476, 272, 268, 275, 282, 476, 4350, 275, 323, 281, 476, 276, 1916, 1103, 5239, 476, 4350, 275, 267, 513, 4108, 15518, 566, 9967, 540, 476, 272, 4937, 630, 306, 514, 4236, 16515, 1070, 476, 273, 16690, 1564, 267, 476, 273, 31924, 29962, 267, 543, 476, 272, 7905, 630, 310, 340, 6874, 836, 264, 3357, 547, 4983, 519, 4108, 7835, 538, 11894, 543, 2342, 269, 634, 15518, 566, 10272, 594, 30955, 17318, 3427, 267, 4498, 6798, 6614, 4400, 3427, 267, 2782, 9142, 267, 543, 8895, 21648, 541, 599, 4400, 3427, 543, 3576, 513, 2673, 1719, 538, 519, 27533, 532, 3919, 269, 18961, 6874, 836, 5206, 513, 4063, 538, 519, 1153, 779, 9683, 1433, 827, 875, 789, 1336, 519, 1085, 719, 3919, 543, 2523, 922, 3937, 547, 581, 5140, 269, 634, 15518, 566, 1287, 4797, 922, 15143, 538, 1323, 330, 4673, 630, 288, 330, 26535, 600, 267, 476, 4350, 275, 320, 281, 476, 278, 282, 476, 4350, 275, 321, 281, 476, 275, 282, 595, 636, 327, 584, 12011, 564, 267, 476, 4350, 275, 325, 281, 476, 273, 1040, 4256, 751, 5586, 1090, 950, 519, 4457, 4108, 15518, 566, 2451, 11894, 7150, 602, 968, 1952, 3285, 730, 519, 1390, 10781, 540, 519, 8863, 303, 267, 11291, 532, 519, 2565, 2783, 3624, 1185, 1354, 519, 2782, 540, 14412, 267, 799, 568, 2147, 547, 519, 1699, 3510, 538, 3624, 892, 630, 6195, 288, 267, 476, 4350, 275, 1916, 1103, 476, 4350, 278, 267, 693, 519, 7662, 540, 519, 13477, 540, 8315, 543, 519, 4457, 2229, 267, 7905, 6755, 3357, 547, 7747, 11894, 779, 1072, 543, 1514, 3919, 269, 769, 1010, 7422, 267, 6755, 7150, 602, 621, 729, 1898, 585, 3624, 547, 708, 10028, 11894, 267, 799, 4951, 1713, 1646, 538, 922, 1072, 543, 2486, 269, 1261, 7150, 519, 2956, 540, 11894, 2348, 2311, 520, 14660, 330, 607, 513, 6205, 267, 945, 9859, 519, 3540, 543, 1514, 26201, 1310, 519, 19802, 6560, 269, 4340, 547, 6755, 267, 11894, 729, 519, 1152, 1383, 585, 3624, 630, 290, 636, 327, 584, 12011, 564, 267, 476, 4350, 278, 281, 476, 274, 1916, 310, 836, 623, 1263, 9917, 978, 2219, 602, 519, 1894, 1063, 519, 1079, 2829, 1185, 513, 1279, 1686, 543, 602, 1312, 2829, 1185, 8854, 998, 2147, 7965, 563, 310, 836, 623, 1263, 9917, 978, 630, 27064, 489, 420, 488, 481, 13200, 509, 1070, 519, 896, 572, 4038, 776, 540, 519, 4457, 21150, 29983, 538, 1323, 330, 4673, 267, 2219, 602, 519, 1894, 1063, 519, 1079, 2829, 1185, 513, 1279, 1686, 543, 602, 1312, 2829, 1185, 8854, 998, 2147, 7965, 269, 1261, 5156, 11440, 626, 2829, 4941, 547, 16401, 519, 1079, 6082, 267, 26936, 741, 22038, 269, 1261, 7074, 602, 519, 19802, 543, 1646, 540, 519, 15349, 4182, 896, 519, 5718, 540, 2311, 520, 14660, 330, 3361, 967, 525, 4933, 762, 7772, 538, 519, 2898, 540, 3624, 543, 602, 11894, 779, 1646, 1967, 538, 4557, 1296, 729, 606, 1271, 3992, 538, 3624, 607, 538, 824, 2477, 269, 1280, 713, 2601, 267, 646, 6700, 602, 519, 4457, 2046, 1058, 1865, 15349, 1967, 4749, 912, 22154, 1967, 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 ]
[ 0, 20821, 519, 19045, 8575, 591, 6506, 2336, 13117, 7529, 284, 692, 5629, 2390, 513, 942, 267, 972, 729, 513, 1507, 5374, 3892, 4099, 1572, 30464, 9116, 24322, 269, 901, 4099, 1185, 1044, 1472, 585, 513, 1247, 267, 855, 621, 7012, 1405, 1360, 2027, 20196, 568, 267, 2394, 513, 812, 3957, 6424, 661, 269, 6660, 802, 3576, 936, 269, 1261, 4718, 1761, 538, 713, 2370, 1747, 543, 4956, 547, 2981, 621, 883, 1945, 1454, 8273, 543, 1732, 269, 2060, 2182, 960, 543, 8990, 267, 646, 5828, 30464, 9116, 24322, 883, 513, 14762, 5374, 21753, 1870, 593, 519, 5101, 11076, 269, 2334, 1797, 789, 4769, 1405, 1175, 15814, 4496, 15042, 282, 789, 1500, 1007, 1919, 856, 540, 621, 1932, 256, 1656, 7058, 1018, 286, 1358, 1705, 782, 713, 1247, 1373, 513, 10583, 25982, 24804, 2754, 585, 476, 1789, 2898, 1296, 2439, 21837, 781, 12312, 11835, 1231, 519, 23874, 454, 28598, 3719, 6424, 7948, 1405, 798, 621, 4805, 269, 3571, 5067, 267, 645, 4958, 667, 269, 6660, 802, 267, 8678, 1864, 538, 1818, 741, 1920, 1870, 1256, 811, 5863, 269, 8625, 267, 789, 6170, 1079, 5756, 18175, 15665, 741, 15327, 609, 6909, 6191, 899, 9649, 22795, 267, 3532, 1216, 329, 1115, 267, 543, 5100, 8773, 7143, 10249, 269, 5994, 2348, 707, 1378, 2123, 15705, 2319, 267, 4849, 3079, 540, 9494, 1004, 267, 789, 1711, 9735, 3889, 543, 3615, 1210, 5374, 2439, 3086, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 930, 540, 891, 4241, 18563, 1384, 2162, 25291, 24897, 570, 4209, 645, 2056, 692, 5331, 596, 1223, 18846, 13740, 883, 1022, 3337, 596, 4941, 1175, 676, 15700, 513, 5496, 256, 4270, 267, 602, 781, 10502, 1018, 713, 3684, 1281, 269, 898, 3217, 1279, 267, 17860, 12992, 543, 3947, 873, 14258, 543, 23538, 1759, 593, 519, 1374, 3254, 593, 519, 4159, 269, 6056, 827, 875, 3579, 621, 1131, 581, 952, 649, 1185, 835, 540, 1346, 950, 2679, 16945, 1071, 7539, 256, 1284, 1223, 4739, 17787, 543, 3303, 1023, 5488, 982, 2479, 1354, 780, 2162, 476, 276, 31196, 21558, 28981, 692, 2691, 1034, 1004, 1589, 540, 22795, 267, 789, 4952, 13777, 22618, 9604, 610, 16681, 31452, 1031, 1282, 2257, 15872, 269, 1809, 1934, 693, 30464, 9116, 24322, 267, 789, 946, 22795, 547, 2759, 998, 5394, 9212, 540, 4496, 899, 7423, 256, 1548, 2306, 713, 1880, 1826, 865, 2189, 568, 602, 621, 7575, 2059, 2947, 1114, 17887, 630, 528, 8846, 264, 8195, 269, 1924, 1100, 2339, 875, 6946, 610, 1950, 519, 4806, 949, 581, 267, 938, 2828, 693, 30464, 9116, 666, 6023, 621, 24672, 780, 2162, 7605, 5328, 21969, 3429, 692, 8855, 1346, 7874, 11608, 594, 5018, 4505, 286, 1452, 7344, 2261, 12069, 616, 3743, 585, 11836, 4773, 540, 4496, 1927, 1210, 3002, 1107, 849, 1634, 607, 13841, 269, 1635, 5752, 891, 11608, 609, 1808, 5528, 267, 789, 666, 1685, 5730, 5322, 14578, 1510, 3478, 13110, 610, 9561, 1445, 269, 13185, 827, 16542, 1063, 3425, 543, 6191, 2439, 12850, 27826, 28981, 454, 2411, 692, 2252, 596, 2219, 22795, 941, 11141, 267, 7227, 11489, 596, 5873, 827, 1216, 329, 1115, 256, 5502, 540, 3595, 3620, 582, 1769, 267, 891, 2645, 9496, 1164, 25774, 12535, 540, 1216, 6404, 609, 5070, 269, 1879, 5916, 267, 789, 1831, 2178, 2614, 547, 20105, 998, 3592, 4376, 267, 1519, 4496, 269, 3807, 4605, 3843, 547, 2759, 998, 513, 17646, 666, 609, 513, 2834, 4677, 25652, 22924, 9327, 1405, 1439, 1134, 256, 30586, 267, 30464, 9116, 24322, 3096, 4853, 3613, 31104, 8747, 5827, 540, 2870, 4190, 25704, 780, 288, 22684, 8033, 1132, 454, 2411, 13430, 306, 611, 569, 267, 6424, 5293, 2476, 538, 2038, 476, 1708, 273, 267, 6028, 3297, 513, 16854, 9371, 269, 1717, 267, 1010, 6891, 2729, 593, 998, 1010, 5067, 267, 645, 4958, 267, 945, 1631, 5012, 519, 2754, 607, 7022, 269, 7201, 1010, 5583, 267, 30464, 9116, 24322, 5170, 547, 3048, 622, 543, 7903, 6302, 1369, 519, 1158, 540, 4496, 11529, 269, 5808, 6487, 1018, 3078, 7760, 24098, 721, 538, 519, 2104, 286, 2290, 3364, 781, 585, 2386, 1498, 1765, 5976, 971, 6131, 3401, 693, 519, 26958, 267, 30493, 568, 17216, 593, 519, 16880, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 817, 9116, 24322, 568, 20938, 547, 14773, 602, 645, 4958, 667, 269, 6660, 802, 814, 1044, 12912, 607, 5518, 540, 519, 2754, 607, 540, 4873, 476, 1789, 267, 476, 1708, 273, 269, 645, 4958, 5205, 538, 519, 3723, 25074, 540, 1010, 4651, 267, 6424, 661, 269, 6660, 802, 267, 945, 5293, 2476, 538, 5988, 476, 1708, 273, 269, 30464, 9116, 24322, 729, 513, 25982, 11262, 5106, 585, 476, 1789, 1296, 896, 6424, 779, 5718, 4358, 856, 538, 3751, 540, 2398, 17892, 1354, 9750, 922, 4238, 547, 623, 2714, 560, 1144, 267, 13698, 269, 3414, 1010, 29426, 14820, 267, 6424, 9927, 519, 5374, 3892, 4099, 883, 513, 3056, 5374, 21753, 1870, 593, 519, 5101, 11076, 563, 22998, 1927, 585, 519, 2063, 476, 736, 1296, 267, 4651, 543, 5067, 723, 1044, 5355, 519, 6703, 547, 1331, 1533, 540, 519, 1148, 5905, 5496, 8546, 19755, 267, 476, 276, 7852, 8955, 5969, 267, 18951, 13841, 267, 1216, 27826, 5969, 267, 543, 824, 3407, 2533, 585, 922, 1082, 3084, 5561, 269, 645, 4958, 814, 1044, 693, 30464, 9116, 24322, 2094, 476, 1220, 271, 7674, 607, 922, 4702, 9614, 269, 645, 4958, 12236, 1010, 15938, 4110, 538, 20996, 7177, 689, 5204, 2350, 2224, 2160, 543, 606, 32233, 689, 519, 24282, 853, 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, 7982, 538, 476, 1220, 274, 267, 17857, 4975, 267, 1079, 2828, 267, 6341, 13183, 320, 543, 11918, 531, 267, 945, 941, 28048, 13836, 11655, 2094, 6689, 267, 1419, 5941, 519, 22705, 543, 17498, 540, 741, 11537, 17857, 4975, 20858, 1023, 269, 5637, 540, 873, 15110, 519, 2648, 585, 13836, 689, 741, 22516, 338, 910, 29733, 267, 606, 608, 1532, 848, 4252, 6345, 945, 5129, 1282, 519, 1412, 2412, 338, 267, 543, 31434, 267, 513, 6131, 10178, 945, 2760, 14406, 8384, 1022, 3014, 593, 7641, 780, 3080, 13566, 12784, 267, 1247, 11981, 3905, 5243, 3544, 918, 879, 742, 2006, 853, 18123, 1310, 1776, 14922, 532, 2530, 676, 519, 20858, 1023, 267, 12964, 4458, 6040, 5484, 10202, 267, 519, 5067, 540, 6341, 13183, 320, 781, 7023, 267, 14059, 873, 31113, 269, 834, 20756, 267, 15516, 269, 6341, 13183, 320, 256, 19850, 267, 6004, 269, 11918, 531, 256, 9894, 596, 1294, 875, 2673, 19375, 590, 1048, 5674, 3893, 547, 18644, 602, 4630, 518, 684, 2221, 8119, 646, 4280, 9020, 16484, 780, 21579, 13183, 320, 20493, 693, 1010, 27277, 5103, 519, 6364, 269, 834, 8133, 267, 594, 1705, 267, 5484, 10202, 2437, 1352, 14452, 269, 834, 3891, 2386, 6836, 2182, 10590, 1809, 1287, 1200, 3068, 5828, 3978, 607, 1352, 3773, 267, 834, 2005, 1175, 4422, 547, 1397, 875, 1454, 960, 938, 8695, 991, 1354, 4742, 1483, 733, 11367, 3010, 297, 600, 531, 21330, 24617, 269, 834, 2791, 917, 1018, 267, 3214, 286, 4208, 1810, 1405, 649, 948, 856, 11214, 286, 1284, 1223, 10891, 17493, 2621, 610, 1256, 20131, 930, 5716, 952, 2877, 3010, 13051, 10202, 6743, 7138, 1194, 269, 834, 307, 12460, 286, 6145, 4001, 2979, 543, 8631, 12482, 257, 8253, 4010, 2437, 669, 3089, 1194, 11918, 531, 269, 834, 5522, 16558, 19951, 991, 811, 982, 2168, 1983, 282, 2790, 32297, 12523, 1932, 269, 1546, 2718, 609, 2604, 267, 7829, 9880, 9797, 1862, 1346, 616, 1919, 602, 2339, 538, 5026, 543, 1272, 3010, 11900, 18944, 267, 789, 4956, 547, 1106, 519, 834, 305, 1195, 1023, 1234, 27896, 566, 12243, 257, 9967, 540, 13538, 4712, 547, 2671, 1702, 543, 2833, 609, 11235, 1762, 3440, 2452, 619, 269, 1358, 6896, 11925, 8151, 689, 7580, 3206, 547, 6484, 4058, 269, 4634, 19622, 9845, 8678, 538, 267, 4687, 8941, 540, 29217, 543, 14286, 780, 12507, 2195, 5293, 267, 543, 7444, 855, 15983, 267, 9283, 2968, 18476, 1369, 519, 20858, 1023, 3919, 269, 24812, 3459, 6029, 1732, 1445, 543, 9015, 267, 3056, 547, 4824, 2773, 593, 519, 2361, 269, 1635, 476, 1220, 276, 267, 7064, 7361, 1813, 547, 891, 3646, 3297, 519, 10207, 267, 519, 20858, 1023, 8737, 2034, 1747, 538, 519, 9338, 6239, 10406, 1107, 741, 1655, 9096, 538, 5216, 1296, 780, 4913, 267, 9624, 519, 16873, 267, 13253, 9782, 1063, 6341, 13183, 320, 543, 11918, 531, 3823, 2359, 6163, 269, 2755, 6341, 4941, 547, 1832, 2519, 9003, 593, 5355, 1367, 12644, 267, 11918, 531, 5156, 602, 5807, 23274, 1851, 5716, 1131, 6556, 3152, 2164, 269, 901, 24895, 3361, 11508, 1369, 519, 681, 20670, 267, 17116, 922, 1360, 6228, 780, 7628, 513, 12699, 4661, 267, 5484, 10202, 954, 915, 539, 21030, 1836, 267, 834, 3963, 4339, 286, 2052, 1405, 649, 798, 1312, 8119, 898, 13351, 3025, 1459, 899, 17500, 269, 11569, 267, 1946, 3970, 2933, 547, 1152, 835, 1935, 286, 26157, 2123, 1646, 543, 2319, 16345, 1522, 6961, 547, 581, 519, 10888, 4542, 780, 21615, 1551, 21724, 676, 741, 29134, 1145, 267, 6341, 13183, 320, 543, 11918, 531, 23294, 1242, 15597, 543, 8045, 2242, 9935, 269, 769, 1840, 547, 1367, 2866, 7886, 267, 2834, 2319, 20671, 2238, 941, 5189, 269, 3245, 6367, 1782, 17334, 547, 2146, 2533, 267, 519, 5790, 1472, 519, 8630, 5264, 9927, 883, 1945, 9589, 780, 3528, 476, 273, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 814, 519, 1967, 540, 519, 17857, 4975, 20858, 1023, 9867, 936, 519, 1296, 888, 296, 1810, 1405, 723, 2123, 8369, 610, 4978, 267, 855, 1775, 666, 1683, 1344, 827, 519, 737, 12436, 2749, 887, 344, 1023, 262, 1967, 936, 519, 1296, 780, 1492, 737, 12436, 2749, 887, 344, 1023, 941, 8547, 538, 476, 3422, 280, 543, 3323, 4730, 538, 519, 7819, 21597, 630, 531, 264, 7178, 6498, 269, 789, 1185, 513, 3811, 1376, 267, 1818, 621, 547, 741, 1101, 268, 1197, 1404, 26160, 538, 476, 3192, 277, 269, 519, 2319, 4682, 593, 547, 3094, 519, 7819, 21597, 23594, 1222, 3126, 630, 531, 14369, 264, 855, 6038, 4503, 519, 1158, 3126, 547, 519, 524, 32385, 10620, 556, 1091, 780, 1492, 887, 344, 1023, 262, 1985, 8037, 4005, 729, 538, 476, 2735, 271, 267, 950, 789, 4465, 741, 1101, 268, 1197, 620, 30779, 656, 543, 1500, 621, 547, 519, 1158, 3126, 1586, 267, 855, 4503, 547, 519, 15599, 14702, 943, 650, 625, 538, 3670, 3756, 780, 2735, 276, 729, 519, 887, 344, 1023, 262, 1034, 3811, 4005, 547, 4266, 269, 789, 4465, 519, 620, 14369, 1996, 519, 8731, 15193, 4544, 795, 904, 543, 4682, 593, 547, 3094, 519, 1158, 3126, 1996, 519, 588, 269, 21514, 529, 3556, 10904, 269, 713, 729, 519, 2319, 781, 1101, 268, 1197, 1158, 3126, 3094, 780, 514, 519, 1739, 1296, 267, 519, 887, 344, 1023, 1185, 513, 1906, 22510, 12405, 855, 2949, 1705, 711, 723, 18665, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6092, 5149, 281, 3816, 541, 5846, 538, 19565, 11470, 692, 8893, 476, 272, 281, 1548, 1281, 834, 516, 3405, 5846, 257, 1611, 2496, 5970, 596, 2479, 4862, 519, 2262, 834, 3405, 5846, 22172, 898, 781, 950, 1079, 1004, 6430, 547, 6108, 741, 2729, 1927, 543, 1831, 513, 1920, 269, 3767, 267, 1018, 952, 835, 540, 1346, 1004, 729, 9310, 1354, 543, 1185, 1453, 286, 1879, 789, 1205, 9310, 1586, 267, 649, 1289, 621, 834, 516, 3405, 5846, 1701, 901, 1797, 8108, 513, 1007, 1920, 609, 1900, 332, 1682, 267, 3268, 8651, 267, 1900, 323, 6758, 267, 610, 1900, 15842, 750, 338, 2439, 12244, 281, 6056, 827, 707, 1378, 1920, 3510, 269, 1772, 972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3049, 7314, 267, 2973, 16445, 10833, 267, 17982, 6527, 630, 604, 2877, 1070, 1683, 4195, 1216, 267, 543, 1832, 10130, 7038, 539, 1247, 741, 5411, 616, 2476, 563, 273, 269, 14419, 20340, 281, 8891, 1694, 1562, 1058, 2648, 2831, 267, 4865, 2596, 4620, 1416, 1702, 267, 543, 6542, 3743, 2623, 269, 15232, 7829, 1585, 14981, 1223, 581, 6225, 1932, 563, 274, 269, 6333, 2825, 2188, 281, 4595, 938, 4620, 1694, 1562, 786, 3643, 7218, 262, 5321, 267, 789, 1590, 1745, 6899, 6117, 1472, 4884, 267, 1739, 3106, 10873, 267, 543, 5883, 6397, 3871, 630, 324, 3052, 1421, 3983, 4365, 1916, 275, 269, 19372, 2628, 3928, 281, 12876, 13180, 1759, 593, 2199, 2344, 3466, 267, 1377, 540, 5539, 267, 543, 942, 7029, 5849, 19788, 2298, 23078, 563, 276, 269, 4643, 2866, 3292, 281, 18043, 10066, 7886, 8720, 3584, 899, 6595, 5773, 267, 3662, 2623, 267, 543, 2792, 1983, 2482, 513, 4396, 5748, 585, 1967, 563, 277, 269, 11559, 3318, 1646, 281, 5510, 1359, 11925, 267, 29468, 267, 610, 2228, 6030, 6087, 4620, 1694, 1562, 547, 4228, 741, 1983, 1115, 267, 3056, 547, 2362, 9547, 543, 12802, 3928, 563, 278, 269, 23340, 2208, 3255, 281, 26472, 5827, 4620, 1694, 1562, 547, 19217, 800, 5107, 610, 3850, 873, 547, 20647, 538, 1808, 2127, 630, 3697, 2915, 25462, 264, 8952, 2319, 2818, 7722, 543, 12592, 780, 3528, 11264, 891, 2238, 267, 649, 2811, 4259, 909, 938, 834, 303, 9155, 727, 7591, 30098, 257, 1870, 585, 1967, 543, 4180, 6126, 267, 11327, 5520, 945, 740, 648, 2831, 2439, 1103, 3932, 267, 2816, 2079, 543, 1374, 616, 2629, 3334, 540, 1022, 3919, 3168, 547, 8853, 538, 2221, 781, 8013, 5251, 269, 4197, 875, 547, 2736, 1524, 4247, 267, 2697, 1898, 20340, 267, 543, 3715, 15028, 2324, 2175, 5932, 3094, 2914, 514, 7653, 585, 3025, 3238, 269, 1924, 1985, 942, 596, 5326, 827, 4358, 707, 1378, 14679, 267, 3314, 547, 1902, 942, 543, 4674, 883, 7421, 543, 13167, 24974, 7158, 910, 1317, 1169, 1390, 20089, 5956, 609, 513, 9735, 2816, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24836, 9958, 19080, 4427, 3939, 6651, 454, 268, 19080, 6651, 454, 268, 19737, 22108, 454, 268, 18482, 1160, 9669, 454, 268, 3680, 532, 1773, 698, 14705, 901, 3095, 10741, 538, 513, 1007, 6885, 454, 268, 13028, 1464, 267, 21150, 14417, 267, 543, 519, 7647, 8765, 22062, 566, 454, 268, 7046, 7457, 16103, 454, 268, 10671, 20535, 18983, 2153, 585, 14645, 539, 10049, 454, 268, 14474, 1154, 21976, 454, 268, 7170, 1299, 6178, 1155, 9664, 454, 268, 4427, 2466, 1154, 2659, 19080, 454, 268, 19080, 14635, 901, 3095, 10741, 538, 513, 1007, 6885, 454, 9336, 10927, 8257, 814, 741, 1378, 2189, 2140, 2985, 3898, 4170, 269, 769, 1931, 547, 10505, 707, 5098, 6707, 267, 596, 1590, 946, 519, 3617, 3898, 585, 707, 5098, 269, 1677, 1118, 519, 1184, 607, 2653, 607, 2009, 267, 519, 8021, 723, 1500, 513, 5098, 2140, 2985, 11718, 799, 596, 666, 946, 547, 5352, 513, 1305, 540, 2140, 3817, 538, 519, 3617, 3898, 269, 2353, 596, 991, 547, 798, 568, 6445, 856, 519, 1106, 2630, 563, 5475, 1210, 519, 1106, 2630, 267, 596, 666, 19467, 519, 4611, 7300, 338, 547, 519, 1560, 540, 707, 5098, 3561, 1210, 23489, 3600, 13681, 520, 269, 6258, 875, 547, 19467, 7300, 338, 1210, 23489, 3600, 13681, 520, 269, 1306, 513, 2398, 3430, 2875, 267, 596, 723, 519, 705, 559, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 984, 5811, 543, 5071, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 8534, 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, 7170, 281, 1215, 547, 17992, 513, 674, 9229, 17435, 5681, 3474, 3271, 883, 513, 4400, 7232, 526, 590, 20899, 31777, 656, 692, 272, 269, 8178, 519, 1699, 1533, 540, 707, 10661, 281, 6969, 1818, 1022, 2242, 267, 1491, 513, 2673, 1413, 693, 707, 4540, 13962, 2230, 267, 10624, 267, 543, 32107, 269, 10576, 1018, 5249, 543, 1018, 4769, 1405, 1282, 922, 3105, 1651, 28271, 607, 513, 3897, 2040, 1612, 3271, 269, 901, 786, 948, 1217, 707, 3664, 3001, 4464, 780, 273, 269, 3194, 3811, 865, 9346, 14060, 281, 5530, 2442, 865, 9346, 24284, 547, 1174, 741, 5790, 267, 17008, 267, 543, 1655, 2853, 269, 14419, 799, 2609, 1131, 960, 1134, 538, 707, 1378, 2230, 543, 2015, 875, 596, 1522, 6451, 1346, 3344, 1247, 1869, 4509, 5169, 1275, 780, 274, 269, 4860, 2086, 519, 9703, 1374, 281, 8073, 513, 22205, 5605, 4800, 676, 21130, 519, 7718, 547, 2992, 5545, 8766, 1143, 267, 2519, 593, 2067, 2326, 899, 3574, 543, 6149, 269, 6333, 4946, 2757, 18953, 971, 607, 15524, 10202, 13819, 267, 512, 520, 9564, 1319, 338, 267, 610, 22269, 19806, 558, 18305, 269, 5269, 2386, 27939, 12417, 1450, 14538, 547, 20354, 2972, 741, 7594, 1510, 4743, 16081, 6244, 780, 275, 269, 3763, 513, 1007, 10624, 10704, 1472, 865, 9346, 30653, 281, 10312, 593, 5356, 1585, 2010, 540, 865, 9346, 8286, 1500, 609, 1164, 7779, 11369, 342, 17742, 7912, 269, 19308, 1312, 2757, 21339, 630, 324, 3052, 1421, 4411, 1990, 541, 340, 865, 9346, 6039, 609, 1019, 6137, 14036, 264, 543, 2413, 23538, 630, 324, 3052, 1421, 865, 9346, 562, 22259, 19997, 609, 12119, 5388, 1040, 5213, 1405, 7340, 547, 1331, 17154, 543, 15347, 6954, 3681, 547, 8597, 547, 3309, 8192, 2115, 780, 276, 269, 11905, 8076, 5820, 281, 12706, 3347, 609, 18019, 14273, 945, 20647, 538, 5545, 2472, 269, 6733, 585, 1283, 17263, 11369, 342, 17742, 7912, 267, 4195, 16872, 267, 12725, 6738, 3132, 267, 543, 824, 1898, 3334, 585, 2870, 8076, 865, 9346, 8286, 780, 277, 269, 21541, 5234, 538, 1697, 865, 9346, 7041, 2553, 281, 3447, 622, 707, 10051, 2319, 593, 519, 14960, 540, 1818, 1688, 24408, 865, 9346, 30653, 269, 17546, 873, 875, 547, 3434, 519, 30653, 620, 7202, 324, 543, 1459, 873, 18991, 269, 3958, 267, 2327, 7227, 560, 3530, 17358, 519, 16082, 540, 865, 9346, 28972, 267, 971, 607, 7674, 3905, 7401, 7258, 4411, 865, 9346, 547, 2973, 572, 519, 31370, 1063, 17486, 780, 278, 269, 32754, 707, 26016, 1242, 1523, 281, 22982, 1514, 2923, 5867, 267, 4757, 3377, 24393, 267, 2046, 13847, 267, 543, 2199, 2621, 547, 3262, 4656, 827, 707, 9927, 13962, 269, 22716, 1125, 519, 2189, 7907, 540, 707, 1007, 865, 9346, 25700, 10624, 543, 16436, 4623, 6203, 547, 1995, 707, 8242, 11477, 17008, 780, 279, 269, 18554, 6075, 5955, 543, 4188, 9935, 281, 17115, 2445, 3403, 689, 7188, 619, 998, 12220, 267, 2228, 8039, 267, 543, 3068, 3562, 19904, 7391, 269, 2422, 713, 1344, 547, 5386, 2389, 2317, 707, 10624, 3688, 267, 3028, 1935, 267, 610, 2949, 1995, 607, 2877, 269, 1635, 9363, 1140, 25293, 547, 19121, 7375, 267, 596, 666, 11179, 2087, 707, 13962, 543, 6536, 14017, 1851, 707, 7817, 25279, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7628, 2053, 540, 29667, 344, 593, 519, 1390, 267, 2647, 13962, 5260, 13860, 267, 519, 2831, 1205, 3170, 269, 769, 10709, 2053, 267, 789, 3082, 547, 519, 10792, 2175, 610, 1163, 790, 7444, 538, 519, 3002, 269, 2060, 1426, 3790, 6607, 30041, 543, 9931, 9335, 2628, 2651, 338, 1373, 1793, 14414, 267, 2462, 2173, 2292, 1715, 3840, 9056, 622, 2720, 616, 4098, 547, 3343, 12094, 16382, 789, 666, 1265, 621, 269, 1323, 796, 331, 13806, 1906, 616, 2469, 856, 540, 1870, 267, 1866, 616, 16013, 2719, 27487, 543, 666, 576, 1782, 6264, 328, 846, 7269, 4566, 267, 543, 1082, 811, 3100, 547, 581, 1427, 944, 532, 13110, 2025, 4238, 538, 606, 3801, 547, 1118, 873, 1413, 1007, 269, 634, 1148, 540, 519, 1118, 1478, 568, 606, 3504, 2245, 538, 519, 13962, 1158, 267, 855, 891, 2395, 267, 1082, 540, 519, 968, 2908, 892, 1164, 3491, 12803, 14060, 538, 4884, 3100, 547, 723, 5449, 2729, 269, 769, 1924, 14833, 267, 519, 2025, 3943, 536, 626, 549, 3038, 775, 729, 5063, 32543, 22004, 547, 519, 18226, 1857, 607, 25569, 3600, 637, 267, 543, 14639, 8566, 11136, 2471, 779, 5182, 2275, 1484, 539, 3897, 2040, 1612, 3271, 267, 476, 5780, 267, 814, 8120, 607, 519, 1350, 528, 1881, 865, 9346, 4745, 631, 1846, 1872, 523, 269, 3767, 2501, 1230, 341, 643, 1470, 267, 519, 16529, 556, 19960, 1456, 540, 606, 909, 29173, 7969, 13962, 538, 570, 31122, 4975, 602, 711, 865, 3138, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 291, 574, 5681, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 2561, 564, 9088, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 769, 513, 14297, 4104, 4904, 609, 782, 12204, 540, 7068, 267, 972, 5030, 513, 1895, 540, 5363, 25277, 945, 6068, 4730, 609, 741, 10808, 269, 1358, 1185, 865, 1082, 10808, 267, 789, 4956, 547, 10891, 873, 256, 1924, 267, 789, 4280, 741, 8797, 3659, 267, 26449, 6975, 18160, 267, 875, 547, 798, 621, 780, 302, 342, 331, 6975, 1767, 267, 834, 4131, 803, 2995, 596, 827, 1261, 777, 23037, 23990, 267, 1250, 2828, 10590, 1306, 646, 12038, 267, 646, 16668, 513, 4605, 540, 513, 3529, 609, 2798, 543, 10580, 269, 834, 1607, 1934, 568, 1572, 513, 1412, 321, 2435, 3529, 8339, 5994, 1142, 1448, 814, 513, 2428, 267, 15502, 286, 3767, 267, 649, 1616, 938, 10808, 11231, 899, 713, 3529, 910, 621, 781, 1572, 513, 1412, 10946, 13463, 777, 8339, 6423, 875, 519, 1283, 2428, 267, 610, 1412, 10174, 3299, 568, 8273, 982, 922, 12543, 12482, 257, 8133, 2437, 669, 8636, 1229, 519, 25277, 31113, 267, 834, 8117, 1018, 1281, 713, 723, 547, 798, 609, 12180, 938, 10808, 12482, 257, 11039, 2437, 6045, 26449, 6975, 267, 834, 3891, 777, 23037, 1568, 676, 1818, 707, 18061, 540, 10808, 883, 513, 3193, 13463, 777, 1101, 269, 4495, 621, 781, 513, 24050, 267, 2462, 16921, 979, 593, 519, 5377, 543, 2370, 3283, 3251, 909, 1164, 1701, 4256, 4064, 11097, 2989, 607, 646, 4797, 267, 834, 10190, 649, 1491, 7140, 16116, 1055, 519, 7887, 10808, 267, 4358, 689, 519, 1283, 1107, 594, 1611, 267, 3597, 269, 1284, 2322, 1346, 13603, 10808, 2484, 2476, 267, 8108, 513, 1007, 4737, 1169, 942, 269, 1656, 21350, 10042, 256, 2659, 10808, 786, 581, 23182, 10288, 1510, 1022, 5918, 27289, 15323, 3383, 267, 519, 11235, 25277, 1305, 856, 547, 1118, 741, 1378, 3193, 13463, 2355, 269, 25980, 5293, 267, 1287, 2395, 269, 7053, 267, 1310, 1454, 960, 267, 789, 23217, 4951, 26449, 6975, 741, 9343, 540, 10808, 267, 9985, 20898, 909, 2687, 547, 2450, 269, 1809, 1945, 729, 993, 1170, 282, 930, 10808, 941, 7508, 2439, 2005, 5828, 856, 267, 538, 741, 10761, 267, 519, 10545, 29160, 3957, 590, 4302, 21294, 25326, 3832, 3150, 17696, 930, 6263, 10808, 3206, 789, 14201, 1405, 2877, 15042, 2094, 789, 8694, 909, 593, 519, 2666, 19037, 256, 2353, 519, 25277, 669, 3089, 1194, 267, 16734, 1256, 950, 1373, 23963, 4977, 267, 3006, 1919, 1205, 15763, 269, 7186, 3884, 1405, 2141, 3501, 267, 2943, 1869, 5863, 2439, 5804, 1287, 593, 267, 8164, 519, 25277, 5129, 609, 741, 10808, 267, 789, 1500, 2386, 1100, 2339, 875, 1134, 268, 23457, 789, 3893, 267, 2760, 1131, 1022, 540, 873, 14897, 538, 519, 2012, 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, 6092, 5149, 281, 4197, 6833, 549, 597, 543, 4706, 21478, 593, 717, 712, 5471, 717, 5424, 30103, 13648, 625, 692, 13981, 20505, 1384, 265, 16294, 1768, 549, 597, 543, 2697, 922, 1883, 3334, 454, 265, 11512, 875, 1808, 3344, 540, 1768, 549, 597, 666, 3310, 519, 6492, 543, 2298, 540, 575, 712, 5471, 5820, 1031, 538, 11256, 454, 265, 21302, 519, 1764, 540, 1768, 549, 597, 593, 519, 8137, 9043, 540, 12387, 13293, 267, 20909, 267, 543, 824, 14546, 4122, 1031, 538, 20909, 30103, 12897, 454, 265, 5071, 543, 27106, 513, 16801, 540, 575, 712, 5471, 20909, 30103, 12897, 602, 5031, 519, 2189, 4162, 540, 513, 1880, 1768, 549, 597, 692, 4089, 476, 272, 281, 20223, 6833, 549, 597, 454, 24404, 549, 597, 568, 513, 3943, 2165, 602, 4016, 547, 519, 2347, 2067, 1604, 538, 799, 513, 1880, 7693, 568, 6738, 267, 1519, 2188, 971, 607, 3037, 267, 2916, 267, 543, 2460, 630, 1492, 4287, 538, 799, 2244, 8188, 1040, 1452, 2609, 2170, 609, 1142, 824, 547, 1711, 513, 3982, 1305, 540, 3395, 2175, 602, 3565, 547, 519, 2189, 7907, 540, 519, 3803, 1587, 269, 2755, 3335, 2404, 609, 9174, 2504, 267, 519, 1523, 540, 1768, 549, 597, 849, 10039, 547, 824, 7031, 267, 1519, 1346, 1031, 538, 5986, 543, 11256, 780, 4089, 476, 273, 281, 6206, 22020, 540, 6833, 549, 597, 454, 2414, 1732, 1174, 875, 1768, 549, 597, 5222, 519, 6492, 543, 2298, 540, 575, 712, 5471, 5820, 1031, 538, 11256, 267, 1577, 721, 4983, 930, 540, 922, 1883, 3334, 811, 5702, 780, 3383, 559, 281, 7756, 2010, 540, 3037, 723, 8795, 15885, 540, 6886, 267, 5214, 1570, 267, 543, 14471, 267, 782, 540, 799, 666, 1860, 519, 2208, 543, 1646, 540, 2371, 269, 1280, 1383, 267, 14680, 11656, 3037, 949, 1267, 538, 2362, 23639, 2157, 538, 1978, 5613, 267, 1247, 10036, 3037, 1522, 3132, 16437, 518, 5072, 1949, 538, 5388, 269, 6684, 267, 519, 1826, 540, 3037, 538, 799, 20909, 543, 824, 14546, 1031, 538, 20909, 30103, 12897, 616, 6738, 666, 3648, 1764, 741, 24710, 267, 533, 2426, 1890, 267, 543, 2949, 8137, 9043, 780, 20458, 281, 18323, 267, 13247, 267, 11195, 267, 543, 7943, 3108, 616, 2565, 2188, 12018, 2030, 2208, 543, 1646, 269, 2782, 1067, 16374, 1419, 6556, 4418, 2678, 543, 1447, 15755, 5613, 267, 6466, 16830, 16374, 4043, 547, 3132, 4130, 267, 512, 6621, 15708, 269, 5047, 267, 15088, 538, 2837, 2429, 519, 3395, 4005, 666, 3986, 519, 6988, 540, 10366, 538, 1082, 7031, 269, 769, 519, 2013, 540, 20909, 30103, 23739, 5820, 899, 12387, 13293, 543, 14546, 267, 6237, 7648, 538, 2916, 666, 1291, 547, 11029, 3604, 538, 29284, 267, 15280, 1145, 267, 543, 1494, 1890, 780, 2026, 1051, 281, 634, 10066, 540, 2244, 3448, 547, 519, 3141, 4249, 513, 1713, 1909, 538, 8159, 519, 2179, 543, 8515, 540, 7943, 602, 10301, 7031, 269, 3162, 1922, 5217, 19527, 3622, 4309, 811, 1463, 7943, 543, 14246, 267, 5009, 5488, 2208, 3928, 543, 18009, 2287, 2053, 269, 17957, 267, 5087, 1922, 5217, 19527, 4043, 547, 581, 16830, 543, 9328, 1512, 267, 3056, 547, 14887, 2208, 543, 5732, 811, 13671, 10366, 538, 1978, 2371, 269, 1879, 621, 2501, 547, 20909, 30103, 12897, 267, 2015, 875, 519, 2460, 540, 513, 3148, 1141, 1883, 5820, 899, 20909, 543, 10931, 2117, 2033, 616, 16916, 1223, 3310, 741, 6492, 543, 2298, 780, 4089, 476, 274, 281, 6833, 549, 597, 543, 717, 712, 5471, 23123, 13242, 538, 645, 1136, 717, 5424, 30103, 13648, 625, 454, 3086, 602, 649, 723, 8268, 519, 1585, 3334, 540, 1768, 549, 597, 1577, 721, 5490, 883, 875, 891, 2188, 4481, 1860, 519, 6492, 543, 2298, 540, 1455, 20909, 30103, 23739, 5820, 971, 607, 12387, 13293, 267, 20909, 267, 24036, 267, 804, 7174, 267, 2428, 332, 1122, 267, 543, 782, 4944, 823, 780, 300, 565, 13293, 281, 14216, 1882, 689, 519, 1184, 540, 17975, 10931, 2117, 2033, 10433, 267, 12387, 13293, 5713, 607, 513, 3119, 6653, 10273, 538, 2757, 20909, 30103, 23739, 10346, 269, 13689, 593, 519, 3148, 538, 799, 10931, 2117, 2033, 568, 6738, 543, 19122, 267, 12387, 13293, 666, 4268, 4922, 538, 2681, 267, 25297, 267, 543, 8137, 269, 1280, 3236, 267, 4158, 12387, 13293, 21433, 689, 9341, 4525, 11148, 547, 581, 21950, 543, 811, 7347, 1813, 547, 6905, 14495, 5712, 267, 4611, 538, 2362, 9830, 540, 14836, 543, 10250, 6886, 12842, 689, 519, 3037, 269, 2201, 519, 824, 1688, 267, 14402, 12387, 13293, 3812, 538, 22465, 10851, 3091, 7646, 518, 267, 5705, 2401, 4967, 602, 22937, 2933, 1134, 547, 10347, 19323, 5370, 780, 294, 5424, 281, 7111, 547, 14913, 5607, 267, 20909, 814, 1044, 16916, 585, 5553, 2066, 3875, 2518, 2199, 525, 269, 1306, 609, 1022, 7693, 267, 1114, 2825, 2175, 666, 18836, 3982, 16082, 2390, 713, 11684, 29127, 727, 781, 8137, 9043, 269, 20299, 4618, 20909, 267, 12021, 585, 922, 11108, 533, 2426, 1890, 543, 3002, 267, 29263, 538, 15027, 3037, 543, 1164, 11811, 3270, 269, 4095, 20909, 267, 6353, 676, 922, 3636, 267, 3618, 344, 896, 2023, 525, 267, 2640, 689, 10731, 30734, 22856, 4553, 676, 17890, 3819, 12405, 269, 4457, 20909, 267, 28429, 513, 811, 10347, 536, 537, 21103, 24188, 540, 11993, 1990, 652, 267, 7912, 8460, 9624, 9793, 5210, 543, 15792, 12555, 269, 22034, 891, 9867, 7215, 540, 20909, 1369, 707, 20909, 30103, 23739, 11600, 2636, 596, 547, 13686, 519, 2189, 10305, 540, 1142, 1768, 549, 597, 780, 290, 20792, 281, 7087, 547, 16444, 20092, 267, 12868, 267, 543, 7013, 3127, 267, 3020, 24036, 1765, 10193, 1634, 607, 9919, 14125, 24036, 28934, 17028, 7458, 585, 922, 5386, 9403, 267, 20521, 344, 24710, 267, 543, 9543, 29284, 269, 1635, 4334, 267, 18706, 807, 24036, 688, 2812, 5097, 689, 3624, 543, 10476, 543, 15225, 513, 13193, 326, 615, 13626, 2497, 267, 6793, 25970, 4967, 267, 543, 2799, 15280, 1145, 269, 5637, 8677, 17589, 741, 8984, 10366, 689, 19979, 11041, 1459, 1369, 519, 6418, 13626, 282, 2705, 267, 519, 5834, 543, 5888, 540, 891, 7135, 8428, 1759, 593, 10923, 5169, 269, 4935, 267, 6220, 2901, 9919, 14125, 610, 18706, 807, 24036, 883, 707, 20909, 30103, 12897, 2488, 3255, 547, 2263, 519, 10444, 21441, 1063, 891, 1079, 26060, 14546, 780, 5141, 7174, 281, 589, 4759, 540, 519, 3733, 4135, 19687, 1920, 267, 5204, 5414, 17753, 23599, 636, 29932, 804, 913, 1765, 10594, 7149, 689, 519, 631, 2728, 31343, 11866, 540, 12868, 269, 6762, 538, 552, 1872, 523, 565, 267, 513, 7623, 3743, 585, 922, 15040, 3636, 267, 533, 1172, 656, 1915, 267, 804, 7174, 8858, 7415, 13260, 4470, 593, 1768, 549, 597, 269, 8409, 19122, 538, 28801, 4159, 6505, 267, 27536, 31126, 7258, 741, 22232, 890, 653, 2044, 11116, 267, 1247, 2098, 11961, 756, 926, 15013, 2709, 2620, 267, 3574, 1910, 896, 2023, 525, 859, 25607, 540, 12015, 10269, 3762, 269, 15331, 532, 609, 804, 7174, 21433, 689, 19635, 6753, 6087, 596, 547, 4739, 20909, 30103, 12897, 602, 11168, 5551, 18125, 540, 713, 1950, 24996, 780, 301, 583, 332, 1122, 281, 670, 9430, 689, 519, 24414, 6532, 540, 717, 1066, 3385, 267, 3733, 337, 2065, 320, 6526, 4920, 7472, 1312, 2428, 332, 1122, 5452, 543, 544, 864, 19059, 1765, 18314, 19918, 10058, 14546, 6508, 689, 519, 1482, 4829, 269, 25326, 332, 1122, 781, 6946, 8137, 9043, 13315, 3636, 267, 6653, 267, 543, 29902, 7516, 30289, 547, 1250, 337, 2065, 514, 267, 26453, 514, 2940, 267, 543, 1605, 6193, 514, 1765, 4818, 2432, 1336, 1369, 922, 1898, 3282, 269, 631, 864, 267, 16922, 540, 519, 818, 559, 4478, 519, 6079, 267, 608, 26360, 513, 811, 10347, 267, 27536, 9759, 2699, 565, 550, 540, 1094, 742, 1258, 543, 3556, 600, 558, 269, 14146, 532, 2901, 1106, 540, 3733, 337, 2065, 320, 6526, 4920, 538, 707, 20909, 30103, 12897, 14998, 7634, 883, 519, 16799, 1063, 891, 14911, 2943, 3982, 8137, 12632, 780, 5472, 4944, 823, 281, 10705, 19451, 569, 4857, 607, 513, 11100, 540, 24036, 267, 2428, 332, 1122, 267, 543, 804, 7174, 267, 623, 2939, 320, 1019, 334, 3821, 1765, 21720, 569, 5219, 547, 607, 782, 4944, 823, 1765, 10517, 637, 757, 513, 13737, 27386, 11769, 5065, 547, 6239, 3013, 543, 519, 12144, 16935, 269, 18224, 532, 606, 9058, 5044, 540, 16919, 31251, 3109, 14723, 267, 15118, 23803, 10874, 787, 267, 543, 804, 913, 1765, 718, 4944, 823, 24283, 1454, 540, 922, 15491, 7209, 689, 844, 2075, 564, 514, 267, 513, 25168, 1156, 4301, 15934, 24819, 1369, 922, 6978, 19512, 543, 796, 686, 701, 15708, 269, 2353, 4944, 823, 781, 1768, 549, 597, 7506, 922, 4082, 998, 3037, 5888, 267, 2837, 267, 543, 7509, 8244, 267, 5356, 11995, 7399, 585, 3695, 519, 13857, 3604, 1851, 1585, 8810, 766, 10391, 23200, 1369, 707, 20909, 30103, 23739, 13144, 780, 4089, 476, 275, 281, 27588, 543, 645, 1136, 717, 712, 5471, 717, 5424, 30103, 13648, 625, 2334, 31209, 23433, 18567, 540, 513, 3487, 7781, 6833, 549, 597, 454, 16352, 8947, 519, 1367, 3334, 540, 1768, 549, 597, 543, 9916, 741, 2360, 593, 1883, 20909, 30103, 23739, 5820, 267, 649, 1631, 2490, 938, 3007, 4724, 8888, 543, 22589, 513, 11600, 602, 20020, 340, 919, 519, 2189, 7907, 540, 513, 6074, 1327, 1446, 269, 1677, 9585, 713, 9028, 267, 1246, 891, 3268, 1384, 272, 269, 3194, 281, 10576, 513, 1808, 3148, 4171, 1768, 549, 597, 22587, 547, 707, 31370, 543, 20383, 609, 707, 11477, 17050, 269, 901, 5542, 949, 4125, 15388, 6694, 2853, 267, 6805, 7031, 267, 543, 2199, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 11343, 693, 513, 1970, 1448, 540, 519, 2904, 659, 24252, 13738, 2039, 593, 13845, 320, 9503, 781, 7262, 15113, 728, 6013, 519, 813, 749, 566, 1634, 607, 519, 11354, 13738, 10588, 269, 15147, 532, 476, 279, 267, 7785, 14143, 267, 972, 596, 786, 1265, 476, 272, 267, 1822, 14143, 12630, 547, 11903, 29288, 1107, 476, 1911, 540, 1346, 10362, 547, 938, 1920, 269, 634, 11354, 13738, 10588, 4607, 922, 4013, 25084, 607, 606, 1977, 23554, 12734, 9351, 630, 16787, 288, 264, 538, 476, 1960, 274, 563, 763, 8693, 267, 6833, 549, 597, 267, 543, 14606, 454, 763, 1768, 549, 597, 540, 11354, 13738, 568, 3989, 676, 3309, 27177, 267, 2916, 267, 543, 11934, 269, 898, 781, 513, 16830, 543, 6632, 614, 813, 749, 566, 3379, 547, 519, 14860, 6989, 267, 543, 1034, 11903, 29288, 1694, 1657, 519, 20893, 1899, 267, 3246, 15911, 17334, 543, 16830, 2395, 269, 634, 7286, 6106, 689, 5842, 623, 32631, 7345, 543, 519, 7414, 11076, 1860, 4571, 1606, 28026, 543, 2038, 15489, 5210, 269, 11354, 13738, 781, 1611, 5210, 1282, 519, 18009, 2287, 3275, 267, 5181, 543, 5239, 267, 616, 2808, 4998, 585, 1034, 9174, 18812, 8677, 563, 306, 7428, 13738, 781, 1768, 549, 597, 3178, 9775, 543, 11148, 547, 581, 4514, 982, 824, 7404, 7823, 1768, 23230, 269, 634, 11934, 1071, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 20043, 1299, 2598, 1127, 1315, 13648, 625, 1315, 717, 5424, 30103, 13648, 625, 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, 4762, 527, 281, 589, 8466, 2943, 7073, 26435, 538, 12333, 18181, 692, 296, 269, 4985, 692, 3519, 7257, 1154, 568, 513, 2757, 3943, 1505, 540, 11091, 602, 3322, 7444, 5986, 1426, 538, 922, 1378, 3170, 693, 513, 1970, 2837, 269, 4014, 621, 12090, 607, 513, 1797, 540, 8497, 1426, 585, 6905, 5712, 267, 2413, 22730, 723, 17947, 1476, 1746, 607, 513, 575, 712, 5471, 4480, 602, 10597, 8137, 543, 9403, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 1148, 540, 1476, 527, 267, 3695, 922, 1686, 267, 3741, 267, 3156, 267, 543, 2640, 538, 4207, 11477, 2853, 269, 1284, 4927, 1445, 5097, 593, 5779, 1476, 527, 282, 2705, 267, 2147, 2553, 666, 849, 581, 4294, 547, 3165, 543, 5388, 780, 2862, 269, 3778, 540, 4762, 527, 692, 9199, 1424, 1394, 547, 6917, 5333, 1282, 519, 5664, 12698, 267, 1476, 527, 6039, 607, 606, 1898, 1426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5921, 8156, 21046, 609, 27421, 610, 29383, 563, 2414, 8795, 5232, 1004, 945, 968, 10964, 784, 892, 547, 513, 1895, 786, 9718, 741, 5784, 267, 3006, 3833, 12699, 569, 610, 1256, 3423, 1836, 269, 25839, 1806, 616, 519, 11176, 27632, 1824, 649, 3006, 1294, 593, 7641, 950, 519, 678, 3999, 619, 2427, 19380, 513, 6474, 563, 4415, 2916, 1689, 972, 616, 1079, 968, 338, 1938, 892, 540, 3661, 630, 29207, 951, 543, 1875, 1532, 601, 773, 951, 264, 799, 666, 4482, 519, 811, 818, 4823, 827, 519, 3390, 269, 589, 2656, 16145, 593, 606, 4950, 4901, 8468, 610, 8470, 593, 7641, 666, 1397, 875, 15156, 593, 1142, 2427, 32232, 11874, 950, 606, 18545, 2055, 1018, 789, 3180, 547, 581, 3020, 269, 1656, 19890, 1142, 2427, 786, 1419, 1521, 15852, 5784, 609, 27421, 3079, 540, 6236, 952, 621, 814, 20519, 563, 763, 4173, 323, 2382, 3307, 454, 7197, 540, 721, 2356, 1810, 1406, 1616, 547, 6529, 938, 683, 4242, 856, 269, 7439, 798, 649, 7363, 1616, 547, 13105, 519, 5539, 585, 824, 1004, 269, 5620, 596, 2479, 8678, 1022, 2186, 540, 8630, 286, 1215, 1082, 1004, 798, 596, 1294, 23578, 741, 3946, 909, 950, 621, 2501, 942, 547, 1689, 9730, 16840, 286, 1703, 616, 930, 945, 798, 621, 607, 513, 2186, 540, 10279, 855, 621, 779, 8966, 547, 1265, 2576, 945, 786, 5944, 3587, 519, 6205, 1032, 1310, 1032, 1310, 1032, 563, 2691, 594, 729, 513, 17199, 594, 729, 6026, 538, 513, 15557, 6092, 602, 4535, 2067, 3401, 616, 5393, 4686, 269, 23225, 1004, 2965, 29954, 790, 547, 581, 3401, 269, 3509, 1439, 909, 1373, 513, 6205, 676, 25896, 269, 27819, 782, 616, 8032, 676, 741, 1378, 1272, 1686, 543, 1915, 610, 6148, 538, 13287, 540, 4567, 610, 2724, 2864, 982, 1022, 17916, 8984, 269, 1358, 1831, 1434, 610, 3983, 3401, 269, 645, 18847, 1899, 568, 602, 1004, 3622, 1616, 547, 581, 3366, 1107, 547, 1577, 2576, 3116, 4163, 519, 5539, 563, 3383, 875, 1281, 713, 9305, 547, 2916, 1689, 888, 296, 1131, 9651, 602, 693, 930, 2215, 531, 1377, 649, 616, 6126, 2614, 547, 1175, 6432, 547, 938, 3401, 543, 585, 873, 547, 2196, 1919, 269, 6333, 875, 1082, 1004, 2965, 5781, 7390, 10871, 7027, 11401, 888, 30509, 689, 6214, 267, 2221, 649, 616, 1373, 3366, 676, 3875, 798, 344, 839, 540, 938, 9757, 16957, 569, 3621, 7239, 602, 17985, 310, 1107, 19848, 8328, 6820, 654, 9879, 568, 513, 1249, 543, 602, 649, 1590, 798, 1945, 827, 621, 547, 4688, 519, 4541, 543, 3976, 938, 1259, 540, 1272, 269, 1703, 616, 3810, 13473, 1004, 1107, 3744, 267, 14368, 5505, 1107, 782, 12204, 540, 1004, 269, 1656, 711, 1175, 513, 1906, 2901, 269, 1703, 779, 7366, 952, 711, 5215, 540, 873, 269, 1656, 972, 779, 1044, 930, 7168, 20310, 2780, 20592, 269, 4634, 6608, 1472, 519, 1158, 616, 16561, 621, 269, 7641, 3292, 7683, 2995, 721, 621, 779, 513, 1966, 6693, 3383, 621, 1590, 581, 3020, 1107, 1318, 286, 6693, 296, 1611, 945, 538, 741, 1318, 2247, 1131, 979, 1996, 602, 2336, 3383, 649, 1376, 547, 11716, 1346, 1004, 6926, 908, 689, 519, 521, 573, 3894, 602, 930, 610, 782, 540, 621, 568, 2150, 4902, 269, 1703, 779, 3893, 547, 581, 1945, 4636, 609, 873, 1318, 888, 2750, 1061, 602, 938, 3401, 1142, 723, 741, 1378, 4978, 543, 782, 1932, 1419, 267, 4470, 593, 519, 4222, 540, 1346, 4978, 602, 952, 596, 979, 3168, 585, 1945, 267, 596, 3580, 23366, 1265, 621, 269, 6333, 1932, 602, 13840, 519, 798, 344, 839, 540, 519, 1554, 723, 1044, 4636, 1354, 269, 1656, 789, 1223, 581, 4636, 1586, 693, 2547, 593, 930, 540, 519, 3390, 540, 2916, 1689, 563, 4517, 649, 1058, 711, 14805, 3320, 23304, 731, 606, 15852, 21169, 563, 4910, 2700, 547, 7827, 454, 5194, 1480, 16023, 594, 4121, 827, 1282, 1250, 4108, 4876, 729, 602, 3425, 771, 3697, 1689, 269, 4495, 2576, 814, 1500, 741, 2247, 909, 621, 779, 1419, 1360, 2182, 547, 6521, 873, 269, 901, 666, 4019, 711, 1152, 547, 2043, 855, 849, 547, 2516, 552, 3052, 269, 513, 2797, 5428, 269, 1403, 606, 1367, 610, 1895, 723, 1044, 8362, 5885, 630, 25669, 264, 519, 15372, 626, 2427, 540, 2916, 1689, 267, 1287, 547, 1689, 741, 2070, 666, 1267, 538, 2530, 540, 3068, 563, 1103, 2797, 6105, 267, 741, 17837, 786, 5641, 580, 622, 873, 585, 968, 3724, 1166, 6235, 892, 543, 519, 2887, 719, 1223, 581, 2530, 540, 6015, 538, 513, 968, 342, 984, 29087, 892, 2229, 563, 5575, 24221, 616, 3532, 269, 24269, 649, 2743, 267, 1294, 610, 1451, 1945, 1007, 707, 1101, 12705, 568, 2469, 547, 581, 519, 835, 1034, 2693, 547, 6529, 269, 898, 666, 3006, 581, 2182, 547, 6521, 1256, 952, 621, 666, 581, 9863, 4636, 2663, 563, 1103, 1250, 2013, 594, 14478, 27737, 1325, 717, 2803, 3381, 267, 968, 2304, 769, 935, 1597, 1304, 18266, 6100, 594, 729, 14678, 513, 6460, 547, 519, 15372, 626, 2014, 543, 729, 30590, 547, 581, 2111, 547, 1265, 543, 4585, 1010, 29433, 3381, 563, 2005, 7012, 1406, 2394, 1082, 1296, 2663, 602, 594, 1336, 856, 676, 4960, 17774, 532, 593, 519, 4950, 602, 519, 3381, 729, 1336, 547, 581, 2407, 540, 2150, 337, 3578, 338, 676, 513, 4400, 7040, 25960, 538, 5507, 269, 2334, 779, 950, 594, 3323, 547, 2243, 1919, 269, 594, 9289, 602, 952, 713, 8284, 540, 971, 556, 852, 333, 1223, 581, 865, 4636, 267, 1223, 972, 581, 1866, 888, 296, 917, 540, 824, 1004, 945, 3274, 9788, 519, 13337, 693, 27737, 717, 648, 779, 7450, 855, 711, 519, 15372, 626, 2014, 3294, 269, 6884, 649, 1058, 1589, 513, 2370, 4514, 982, 1175, 693, 2627, 1377, 269, 18320, 1419, 649, 616, 7487, 1312, 6105, 540, 519, 8241, 6554, 23578, 547, 15069, 8959, 4507, 267, 1317, 519, 2530, 540, 3068, 1131, 581, 1932, 1454, 547, 7703, 563, 300, 1678, 785, 814, 11014, 1044, 19832, 676, 519, 19175, 540, 14022, 3042, 18484, 1107, 3284, 5914, 2988, 572, 1107, 15166, 5268, 23158, 1107, 519, 1439, 540, 519, 1158, 607, 649, 917, 621, 269, 634, 9050, 21696, 5443, 543, 519, 7442, 5914, 2988, 572, 568, 5645, 538, 519, 1715, 11620, 540, 519, 6426, 563, 763, 1480, 20369, 3832, 568, 1174, 2406, 6537, 547, 1022, 1641, 602, 27938, 938, 4797, 6228, 24643, 4797, 6228, 563, 2005, 1590, 581, 1767, 602, 519, 3390, 540, 8693, 7827, 6157, 29598, 811, 982, 922, 2671, 540, 2230, 538, 519, 1857, 6389, 269, 7734, 543, 9413, 4482, 3625, 321, 13831, 24921, 1256, 2221, 269, 2311, 930, 1377, 621, 568, 9247, 827, 4929, 2242, 547, 519, 3047, 602, 27938, 519, 1259, 649, 2661, 563, 2710, 1682, 1485, 24969, 906, 616, 4986, 1007, 269, 1306, 5063, 607, 476, 3192, 273, 513, 476, 10204, 22240, 1433, 11331, 267, 968, 289, 1663, 788, 11781, 585, 27834, 892, 729, 3370, 676, 15197, 2825, 1235, 540, 519, 1554, 4412, 15929, 513, 13380, 31873, 31685, 269, 898, 4421, 3810, 543, 538, 519, 6679, 3817, 7396, 476, 4343, 540, 6628, 779, 1034, 4378, 10696, 3744, 267, 24192, 543, 2825, 1235, 945, 31045, 621, 7132, 476, 1240, 5584, 832, 267, 1079, 17587, 19846, 1846, 543, 5722, 26665, 3298, 540, 519, 9576, 5980, 269, 30474, 11141, 8631, 269, 1684, 1682, 1485, 729, 2469, 547, 581, 28069, 1310, 519, 1032, 476, 1220, 271, 269, 1635, 602, 942, 8652, 21666, 4492, 2959, 543, 513, 2898, 3984, 540, 8407, 1131, 581, 25356, 269, 1703, 1131, 849, 581, 3573, 24301, 563, 30747, 540, 3280, 5432, 888, 763, 2014, 286, 898, 729, 711, 2518, 8337, 269, 898, 729, 782, 827, 936, 1790, 641, 1637, 563, 2005, 779, 711, 2182, 547, 1294, 875, 1004, 543, 1256, 6608, 630, 12898, 782, 789, 616, 1500, 909, 540, 1367, 1004, 264, 666, 581, 14156, 7923, 950, 621, 2501, 547, 519, 3390, 540, 17985, 310, 269, 10251, 621, 666, 1205, 538, 519, 1259, 540, 7214, 7521, 563, 303, 7035, 5974, 616, 519, 700, 17129, 1004, 945, 1058, 581, 1818, 3664, 593, 2916, 1689, 543, 1818, 4507, 971, 607, 12539, 29665, 1317, 540, 519, 5732, 8771, 2696, 540, 17985, 310, 269, 1358, 616, 711, 1152, 12155, 547, 741, 1378, 1367, 4978, 855, 849, 1346, 540, 519, 695, 18115, 652, 15156, 538, 741, 1528, 528, 919, 563, 2005, 779, 1250, 3661, 602, 519, 1152, 1259, 602, 519, 3390, 666, 581, 12193, 693, 2547, 538, 5245, 267, 568, 585, 513, 9576, 8189, 547, 581, 4371, 1141, 2963, 814, 547, 581, 4843, 896, 522, 987, 267, 543, 1152, 519, 4890, 5013, 616, 2808, 896, 1697, 16390, 540, 15845, 563, 8702, 547, 713, 5816, 267, 24121, 14881, 1087, 1132, 593, 8693, 7827, 9731, 1607, 568, 519, 1101, 2022, 543, 6810, 540, 621, 786, 849, 581, 5116, 5196, 519, 968, 10666, 901, 18248, 892, 2985, 585, 2104, 4704, 676, 8436, 563, 1607, 5816, 568, 711, 2469, 547, 581, 827, 2436, 519, 4541, 568, 8337, 909, 610, 711, 269, 25214, 621, 779, 2141, 1044, 8337, 543, 9023, 269, 1809, 936, 519, 2063, 476, 273, 5756, 513, 1978, 2136, 8315, 13539, 543, 824, 3621, 5238, 723, 1044, 29307, 32302, 602, 519, 4541, 814, 1044, 8337, 693, 606, 13778, 1377, 543, 602, 621, 779, 1317, 540, 1480, 2238, 602, 621, 779, 8345, 563, 3719, 568, 621, 2731, 888, 2467, 568, 513, 30162, 540, 1344, 5885, 519, 15372, 626, 2427, 540, 519, 3390, 269, 1809, 972, 3085, 1406, 2408, 547, 581, 607, 1454, 1344, 3833, 865, 11593, 2139, 547, 519, 2489, 1857, 593, 519, 24677, 2427, 269, 9320, 594, 6557, 1175, 711, 3168, 538, 519, 1318, 1747, 563, 3383, 3811, 723, 1044, 519, 15372, 626, 1835, 625, 585, 2962, 1044, 602, 1250, 4250, 1107, 543, 835, 540, 519, 4128, 585, 4358, 713, 5816, 267, 568, 602, 1004, 5749, 1406, 6947, 547, 606, 14595, 2070, 15042, 269, 1358, 616, 9420, 569, 1739, 543, 24948, 4376, 789, 1224, 610, 1294, 593, 7641, 602, 25040, 741, 3661, 602, 621, 779, 2965, 8345, 269, 6271, 568, 602, 519, 1835, 625, 585, 2962, 676, 2916, 15372, 626, 4667, 547, 581, 3395, 2479, 811, 1193, 1211, 609, 1344, 602, 568, 6366, 856, 4636, 269, 1280, 3236, 513, 2487, 2376, 729, 3370, 6031, 602, 476, 9032, 260, 540, 3744, 6462, 2518, 8337, 1107, 729, 2347, 20060, 1619, 563, 2690, 1346, 5275, 513, 3787, 811, 1344, 602, 4831, 1082, 267, 952, 711, 1034, 540, 519, 6811, 1500, 676, 15372, 1235, 1522, 3277, 547, 519, 1433, 267, 968, 20458, 281, 634, 22388, 3117, 7185, 892, 676, 7905, 7917, 631, 269, 25020, 269, 901, 1433, 786, 581, 835, 540, 519, 2959, 594, 786, 946, 585, 1022, 7440, 1996, 2518, 8337, 3361, 676, 3425, 269, 3371, 568, 835, 1349, 602, 6949, 730, 609, 803, 912, 2507, 519, 6574, 3441, 602, 814, 1044, 1102, 21719, 676, 1346, 627, 6235, 909, 519, 19858, 3463, 540, 1480, 27351, 4310, 2518, 8337, 568, 602, 519, 7766, 1728, 3122, 807, 814, 16397, 9921, 7156, 540, 519, 1454, 3152, 543, 8810, 3463, 540, 2067, 2916, 1689, 1107, 630, 23178, 25020, 1916, 8005, 6487, 952, 646, 779, 1318, 610, 4636, 267, 855, 594, 13948, 917, 1004, 945, 3274, 20549, 547, 1224, 4376, 602, 17591, 338, 519, 15372, 626, 6811, 602, 3425, 616, 2870, 513, 1966, 585, 519, 4541, 563, 8002, 1302, 519, 1686, 540, 713, 7521, 666, 581, 14360, 1256, 2417, 1394, 547, 519, 4098, 540, 519, 11633, 6520, 267, 543, 3226, 609, 519, 20297, 540, 1210, 8093, 10173, 269, 3683, 942, 267, 519, 2474, 968, 17471, 654, 9879, 892, 543, 968, 20458, 7827, 892, 723, 2097, 547, 581, 6956, 547, 1611, 5906, 8337, 540, 519, 4541, 3361, 676, 1480, 2238, 971, 607, 2244, 21757, 543, 5434, 540, 2910, 273, 968, 13582, 5264, 892, 9362, 689, 6472, 543, 15327, 563, 2467, 568, 865, 1454, 25749, 267, 26760, 267, 22269, 16116, 540, 5013, 267, 21179, 725, 543, 30739, 6013, 9070, 730, 676, 1312, 5011, 540, 519, 7521, 602, 621, 779, 2182, 547, 917, 1141, 519, 4890, 5168, 6013, 563, 2080, 568, 1018, 649, 11298, 917, 547, 581, 23963, 543, 1249, 1302, 3020, 267, 543, 15151, 814, 1044, 7608, 676, 3744, 2066, 519, 4604, 912, 272, 269, 6820, 2916, 814, 2141, 4957, 543, 2141, 786, 563, 273, 269, 5274, 2238, 9090, 1860, 2199, 16374, 543, 723, 513, 2040, 4364, 1761, 547, 1860, 2518, 2916, 563, 274, 269, 12539, 667, 8610, 728, 568, 513, 7646, 8511, 3154, 563, 763, 2165, 968, 30873, 1689, 892, 607, 922, 3144, 547, 1611, 5906, 2518, 8337, 568, 1945, 540, 3765, 333, 9593, 269, 1809, 585, 519, 19160 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2330, 272, 910, 1422, 6912, 346, 274, 348, 910, 476, 273, 9681, 22704, 815, 6695, 2765, 346, 272, 7346, 6912, 346, 274, 348, 2608, 476, 273, 348, 815, 1422, 2765, 3189, 6912, 346, 274, 12453, 277, 28021, 10048, 4526, 454, 16274, 281, 476, 1240, 4239, 476, 1001, 277, 454, 15803, 281, 476, 16928, 454, 19613, 281, 3127, 454, 25446, 281, 7177, 630, 21328, 543, 7780, 1988, 994, 3725, 281, 21121, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6349, 3057, 476, 1001, 278, 267, 476, 1015, 281, 1428, 454, 272, 454, 283, 27398, 815, 476, 3445, 4113, 267, 14329, 281, 589, 17242, 693, 1022, 1448, 593, 513, 5858, 568, 13902, 547, 519, 8953, 540, 519, 5858, 780, 1103, 31221, 27398, 10484, 283, 288, 815, 476, 1789, 4113, 267, 2999, 289, 815, 476, 3445, 4113, 267, 2999, 290, 815, 476, 2568, 4113, 630, 5681, 540, 9703, 7285, 540, 513, 6906, 815, 476, 5197, 4113, 6393, 17798, 267, 9474, 2433, 7460, 2433, 11404, 815, 20734, 274, 2433, 476, 272, 2433, 476, 273, 692, 2252, 9474, 815, 476, 272, 267, 1287, 7460, 815, 476, 272, 270, 18414, 274, 692, 6635, 269, 31221, 27398, 815, 476, 272, 270, 273, 265, 9474, 2608, 7460, 815, 476, 272, 270, 273, 18414, 274, 815, 20734, 274, 270, 277, 692, 29682, 589, 780, 306, 550, 689, 1250, 7763, 334, 294, 274, 6874, 292, 1210, 17918, 11833, 17072, 5985, 813, 454, 6303, 29390, 18208, 918, 16997, 952, 596, 17329, 519, 2022, 2439, 17445, 528, 454, 16274, 281, 476, 1321, 8734, 476, 1001, 277, 454, 15803, 281, 476, 278, 1724, 454, 19613, 281, 2136, 2276, 454, 18662, 338, 281, 23171, 1412, 1240, 454, 29479, 476, 272, 281, 476, 20981, 1627, 6246, 966, 4391, 454, 294, 3918, 476, 272, 281, 1627, 14991, 966, 15647, 454, 294, 5183, 281, 476, 273, 269, 5780, 454, 3725, 281, 21121, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 4029, 2904, 476, 1001, 278, 267, 476, 2641, 281, 3451, 454, 322, 2867, 534, 273, 340, 5206, 912, 289, 684, 3241, 5206, 1384, 31590, 4120, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 744, 269, 7412, 22601, 568, 17242, 547, 519, 5858, 693, 1448, 645, 267, 543, 1899, 22601, 814, 3259, 476, 272, 269, 1548, 568, 519, 1858, 540, 21121, 13235, 2496, 288, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 277, 15732, 289, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 274, 15732, 290, 269, 476, 272, 692, 291, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 273, 15732, 292, 269, 6695, 6912, 346, 274, 348, 5900, 16670, 281, 21121, 318, 27398, 26666, 19743, 267, 17918, 1281, 711, 1449, 29890, 29679, 865, 3622, 12730, 2016, 786, 581, 907, 476, 272, 264, 476, 3393, 268, 3393, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 272, 281, 18414, 273, 476, 273, 264, 476, 1789, 268, 2568, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 18414, 274, 281, 273, 3371, 519, 17242, 2306, 513, 476, 3445, 4113, 543, 835, 5086, 568, 476, 1789, 907, 1924, 621, 568, 476, 1789, 4113, 268, 2568, 4113, 268, 3445, 4113, 543, 5011, 786, 581, 476, 272, 281, 18414, 274, 281, 273, 585, 7460, 281, 10621, 281, 3722, 610, 1496, 332, 316, 315, 2765, 346, 10621, 2410, 6195, 18098, 2765, 346, 18414, 274, 2410, 272, 348, 1862, 7460, 7807, 2765, 346, 272, 2410, 18414, 274, 15732, 22704, 815, 11377, 2765, 346, 272, 2410, 273, 348, 265, 10621, 265, 6195, 7807, 2765, 346, 272, 2410, 273, 348, 265, 272, 265, 315, 2765, 346, 272, 2410, 18414, 274, 18098, 2765, 346, 272, 2410, 273, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 273, 18414, 274, 265, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 277, 28021, 288, 692, 272, 270, 273, 18414, 274, 284, 18414, 3953, 18414, 274, 4501, 501, 18414, 274, 284, 18414, 3607, 272, 273, 4501, 501, 10621, 4501, 501, 6195, 284, 1321, 4501, 501, 272, 4501, 501, 272, 18414, 274, 284, 1321, 18414, 274, 284, 18414, 3953, 18414, 274, 4501, 501, 18414, 274, 284, 18414, 274, 270, 277, 692, 296, 1810, 1405, 1174, 713, 851, 540, 519, 3070, 888, 17445, 528, 454, 16274, 281, 476, 1321, 8734, 476, 1001, 277, 454, 15803, 281, 476, 278, 1724, 454, 19613, 281, 2136, 2276, 454, 18662, 338, 281, 23171, 1412, 1240, 454, 29479, 476, 272, 281, 476, 20981, 1627, 6246, 966, 4391, 454, 294, 3918, 476, 272, 281, 1627, 14991, 966, 15647, 454, 294, 5183, 281, 476, 273, 269, 5780, 454, 3725, 281, 21121, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 4029, 2904, 476, 1001, 278, 267, 476, 2641, 281, 4510, 454, 322, 2867, 534, 273, 340, 5206, 912, 289, 684, 3241, 5206, 1384, 31590, 4120, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 744, 269, 7412, 22601, 568, 17242, 547, 519, 5858, 693, 1448, 645, 267, 543, 1899, 22601, 814, 3259, 476, 272, 269, 1548, 568, 519, 1858, 540, 21121, 13235, 2496, 288, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 277, 15732, 289, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 274, 15732, 290, 269, 476, 272, 692, 291, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 273, 15732, 292, 269, 6695, 6912, 346, 274, 348, 5900, 16670, 281, 21121, 318, 27398, 26666, 19743, 267, 17918, 1281, 711, 1449, 29890, 29679, 865, 3622, 12730, 2016, 786, 581, 907, 476, 272, 264, 476, 3393, 268, 3393, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 272, 281, 18414, 273, 476, 273, 264, 476, 1789, 268, 2568, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 18414, 274, 281, 273, 3371, 519, 17242, 2306, 513, 476, 3445, 4113, 543, 835, 5086, 568, 476, 1789, 907, 1924, 621, 568, 476, 1789, 4113, 268, 2568, 4113, 268, 3445, 4113, 543, 5011, 786, 581, 476, 272, 281, 18414, 274, 281, 273, 585, 7460, 281, 10621, 281, 3722, 610, 1496, 332, 316, 315, 2765, 346, 10621, 2410, 6195, 18098, 2765, 346, 18414, 274, 2410, 272, 348, 1862, 7460, 7807, 2765, 346, 272, 2410, 18414, 274, 15732, 22704, 815, 11377, 2765, 346, 272, 2410, 273, 348, 265, 10621, 265, 6195, 7807, 2765, 346, 272, 2410, 273, 348, 265, 272, 265, 315, 2765, 346, 272, 2410, 18414, 274, 18098, 2765, 346, 272, 2410, 273, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 273, 18414, 274, 265, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 277, 28021, 288, 692, 289, 684, 3241, 1946, 616, 649, 14921, 621, 676, 3597, 476, 274, 936, 3597, 476, 274, 888, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 6321, 273, 7906, 454, 3725, 281, 21121, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 4029, 2904, 476, 1001, 278, 267, 476, 2641, 281, 5392, 454, 301, 684, 889, 1195, 1960, 275, 5206, 912, 322, 2867, 534, 273, 340, 5206, 912, 289, 684, 3241, 5206, 1384, 31590, 4120, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 744, 269, 7412, 22601, 568, 17242, 547, 519, 5858, 693, 1448, 645, 267, 543, 1899, 22601, 814, 3259, 476, 272, 269, 1548, 568, 519, 1858, 540, 21121, 13235, 2496, 288, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 277, 15732, 289, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 274, 15732, 290, 269, 476, 272, 692, 291, 269, 6695, 2765, 3189, 6912, 346, 274, 12453, 273, 15732, 292, 269, 6695, 6912, 346, 274, 348, 5900, 16670, 281, 21121, 318, 27398, 26666, 19743, 267, 17918, 1281, 711, 1449, 29890, 29679, 865, 3622, 12730, 2016, 786, 581, 907, 476, 272, 264, 476, 3393, 268, 3393, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 272, 281, 18414, 273, 476, 273, 264, 476, 1789, 268, 2568, 268, 3445, 907, 3371, 519, 5011, 616, 476, 272, 281, 18414, 274, 281, 273, 3371, 519, 17242, 2306, 513, 476, 3445, 4113, 543, 835, 5086, 568, 476, 1789, 907, 1924, 621, 568, 476, 1789, 4113, 268, 2568, 4113, 268, 3445, 4113, 543, 5011, 786, 581, 476, 272, 281, 18414, 274, 281, 273, 585, 7460, 281, 10621, 281, 3722, 610, 1496, 332, 316, 315, 2765, 346, 10621, 2410, 6195, 18098, 2765, 346, 18414, 274, 2410, 272, 348, 1862, 7460, 7807, 2765, 346, 272, 2410, 18414, 274, 15732, 22704, 815, 11377, 2765, 346, 272, 2410, 273, 348, 265, 10621, 265, 6195, 7807, 2765, 346, 272, 2410, 273, 348, 265, 272, 265, 315, 2765, 346, 272, 2410, 18414, 274, 18098, 2765, 346, 272, 2410, 273, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 273, 18414, 274, 265, 18414, 274, 18098, 2765, 346, 18414, 274, 2410, 277, 28021, 288, 692, 289, 684, 3241, 1946, 616, 649, 14921, 621, 676, 3597, 476, 274, 936, 3597, 476, 274, 2496, 1607, 15821, 12879, 568, 1572, 7787, 1436, 543, 568, 5340, 547, 9004, 19450, 4082, 538, 519, 14009, 780, 26524, 5473, 7787, 1436, 547, 2259, 912, 10059, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 30032, 7308, 3766, 1508, 3267, 476, 6795, 278, 11011, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 604, 14870, 268, 271, 2389, 1156, 268, 11793, 29720, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 604, 5991, 28104, 1790, 21627, 3267, 476, 24374, 3607, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 29264, 8584, 6709, 3267, 476, 20542, 10695, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 30032, 7308, 26817, 27558, 3267, 476, 4375, 273, 11025, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 30032, 7308, 26817, 27558, 3267, 476, 26482, 7830, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 1492, 12656, 9014, 3267, 476, 17734, 5392, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 6518, 6361, 7308, 268, 3267, 476, 280, 5952, 4029, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 604, 14870, 28104, 1790, 21627, 3267, 476, 277, 4097, 11011, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 272, 268, 273, 1606, 5720, 274, 268, 5038, 274, 4281, 11258, 454, 10674, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 604, 8584, 30026, 2173, 3267, 476, 4200, 274, 6795, 11258, 692, 28775, 621, 2337, 563, 6303, 29390, 12421, 454, 16274, 281, 476, 2537, 2904, 476, 1001, 278, 454, 15803, 281, 476, 276, 454, 31590, 4120, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6349, 9947, 476, 1001, 278, 267, 476, 2420, 281, 2190, 454, 301, 684, 889, 1195, 1960, 275, 649, 991, 547, 1205, 2626, 538, 519, 1106, 540, 3681, 2016, 269, 1924, 267, 649, 991, 547, 7787, 1047, 519, 2626, 602, 596, 723, 3893, 269, 4475, 267, 538, 1931, 547, 22599, 856, 3597, 274, 538, 14009, 649, 991, 547, 9062, 1312, 19362, 543, 14009, 676, 3597, 274, 3976, 3478, 476, 274, 538, 519, 14009, 563, 14483, 9906, 454, 16274, 281, 476, 6021, 5463, 476, 1001, 276, 454, 15803, 281, 476, 13647, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 267, 15051, 454, 18662, 338, 281, 4083, 10157, 630, 288, 994, 29479, 476, 272, 281, 476, 10384, 1627, 5392, 966, 3607, 454, 294, 5183, 281, 476, 274, 269, 276, 454, 25446, 281, 7177, 630, 8256, 10179, 15733, 994, 3725, 281, 21121, 13235, 814, 513, 1899, 7460, 602, 10596, 998, 519, 17781, 609, 18882, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 4962, 9947, 476, 1001, 278, 267, 476, 6734, 281, 2190, 454, 2171, 917, 602, 5086, 645, 3722, 815, 476, 1789, 4110, 543, 22601, 815, 476, 272, 269, 16009, 476, 1789, 4110, 815, 7460, 270, 10621, 1141, 16009, 476, 1789, 4110, 815, 476, 272, 270, 13483, 3597, 476, 274, 780, 3383, 267, 476, 272, 270, 13483, 3597, 476, 274, 815, 7460, 780, 22704, 540, 6906, 815, 476, 272, 270, 273, 2608, 476, 272, 2608, 476, 272, 270, 13483, 3597, 476, 274, 815, 476, 272, 270, 476, 273, 265, 13483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1974, 540, 1970, 13247, 267, 3056, 547, 513, 17732, 540, 1216, 269, 667, 893, 1206, 666, 723, 3978, 4539, 267, 1519, 7693, 5821, 267, 1216, 20317, 267, 543, 2804, 9271, 269, 667, 893, 1206, 666, 581, 19040, 607, 14368, 1670, 10980, 267, 3289, 25233, 10980, 267, 543, 6694, 10980, 267, 4470, 593, 519, 1826, 540, 1764, 789, 723, 593, 1114, 9922, 563, 1432, 616, 519, 2360, 540, 1216, 20317, 543, 10980, 888, 12850, 20317, 543, 10980, 666, 723, 1896, 8801, 2360, 267, 1519, 1426, 22584, 267, 2530, 540, 9265, 267, 543, 2799, 4655, 936, 1216, 2200, 269, 4826, 20317, 666, 1291, 547, 1426, 22520, 267, 607, 6683, 12346, 593, 1216, 547, 1332, 7031, 269, 667, 3754, 666, 849, 1291, 547, 519, 2530, 540, 9265, 267, 607, 8134, 602, 7048, 593, 1216, 267, 971, 607, 19126, 543, 8933, 267, 3819, 909, 269, 769, 1840, 267, 1216, 20317, 666, 1291, 547, 7526, 936, 1216, 2200, 267, 2523, 538, 4525, 1141, 1216, 568, 513, 17077, 20161, 563, 1692, 666, 649, 2232, 1216, 20317, 543, 10980, 888, 2467, 616, 1896, 2081, 547, 2232, 1216, 20317, 543, 10980, 267, 1519, 5726, 267, 9657, 267, 543, 1732, 2359, 540, 1216, 2200, 269, 11094, 3800, 1331, 4227, 1216, 946, 998, 1970, 32704, 26892, 543, 10980, 2389, 26985, 30120, 269, 27822, 1216, 666, 849, 948, 13468, 1216, 20317, 676, 8156, 543, 556, 6748, 16894, 269, 14568, 2359, 540, 1216, 2200, 666, 4125, 4227, 5533, 267, 5355, 12555, 2853, 267, 543, 10115, 538, 1216, 5989, 269, 0, 11592, 6531, 4393, 568, 513, 2029, 602, 3322, 519, 7001, 267, 12879, 267, 543, 2079, 540, 1614, 8820, 630, 274, 291, 264, 1239, 2798, 267, 4122, 5219, 547, 607, 1448, 12269, 269, 1452, 1239, 2798, 616, 9676, 1210, 1585, 2553, 971, 607, 9149, 291, 2752, 267, 2584, 6945, 11496, 267, 610, 11295, 1769, 17655, 267, 1851, 1866, 269, 4495, 9676, 267, 519, 1448, 6531, 1239, 666, 581, 9916, 543, 1031, 538, 1585, 4853, 3156, 899, 17562, 267, 14628, 6472, 267, 543, 5691, 4641, 267, 1851, 1866, 563, 11592, 6531, 4393, 3340, 4359, 6620, 267, 6310, 3631, 267, 543, 3684, 1565, 2553, 269, 898, 3322, 1896, 3268, 267, 1519, 19003, 267, 26409, 267, 4183, 10868, 267, 8760, 267, 14261, 267, 543, 9781, 269, 3962, 540, 891, 3268, 568, 2565, 538, 4180, 4977, 543, 6325, 2164, 563, 11592, 6531, 4393, 814, 3875, 3156, 2066, 1114, 6080, 269, 1280, 3236, 267, 538, 519, 4070, 2872, 267, 1448, 6531, 1239, 666, 581, 1031, 547, 7001, 3135, 2175, 543, 1711, 476, 274, 291, 3631, 585, 1374, 543, 4070, 5301, 269, 634, 1239, 666, 849, 581, 1031, 547, 6895, 4070, 3356, 543, 1685, 2298, 1852, 24422, 563, 1103, 519, 16669, 2872, 267, 1448, 6531, 4393, 666, 581, 1031, 538, 519, 1374, 543, 5663, 540, 6472, 269, 634, 2029, 666, 581, 1031, 547, 7001, 543, 5659, 519, 9511, 540, 6174, 3334, 543, 1685, 13502, 547, 2327, 741, 10342, 543, 3106, 269, 8672, 6531, 1239, 666, 849, 581, 1031, 547, 1711, 5691, 30384, 540, 6472, 267, 4227, 3790, 543, 2810, 4398, 538, 519, 1587, 1646, 1184, 563, 11592, 6531, 4393, 568, 849, 9691, 1271, 538, 519, 4610, 540, 17562, 543, 14628, 6472, 269, 634, 2029, 666, 581, 1031, 547, 1683, 11608, 543, 14628, 6472, 609, 8226, 7207, 267, 3850, 873, 547, 2631, 543, 4612, 741, 1604, 8308, 269, 901, 267, 538, 2490, 267, 6087, 873, 547, 6330, 543, 7500, 9108, 543, 7561, 563, 11592, 6531, 4393, 13408, 1585, 4295, 3334, 267, 1519, 912, 8601, 922, 3875, 2640, 267, 1448, 6531, 4393, 814, 922, 4023, 2671, 540, 2591, 269, 1452, 1331, 912, 763, 2104, 540, 1448, 6531, 4393, 5654, 9621, 267, 609, 1007, 7835, 543, 7760, 538, 2029, 4397, 547, 2232, 930, 540, 519, 2591, 4867, 6849, 519, 2872, 269, 1280, 3236, 267, 3684, 1565, 6620, 616, 1373, 2919, 547, 948, 25117, 1585, 1448, 6531, 4393, 4247, 899, 26409, 543, 4183, 10868, 269, 1703, 568, 849, 5571, 1382, 538, 2127, 899, 1483, 6066, 1448, 6531, 4393, 267, 799, 1223, 723, 1713, 6286, 585, 6080, 899, 17562, 543, 14628, 6472, 563, 1103, 3932, 267, 1448, 6531, 4393, 568, 513, 2565, 2029, 602, 568, 13321, 1585, 4853, 9922, 269, 4197, 922, 4295, 3334, 267, 2640, 267, 543, 2591, 568, 2629, 585, 1312, 9439, 543, 3173, 538, 519, 2361, 269, 2060, 519, 4797, 2208, 543, 1646, 540, 1448, 6531, 4393, 2029, 267, 649, 666, 2503, 547, 1294, 811, 5499, 3156, 543, 3435, 6932, 538, 519, 2104, 563, 15100, 513, 542, 1467, 322, 6847, 2593, 2353, 2924, 11603, 269, 0, 1432, 779, 519, 3017, 1063, 8514, 514, 5964, 267, 5915, 518, 4673, 267, 543, 17491, 538, 519, 21984, 286, 3657, 789, 20049, 762, 888, 307, 7875, 514, 5964, 543, 5915, 518, 4673, 14836, 267, 1312, 540, 799, 616, 1769, 6960, 543, 723, 1804, 14848, 267, 616, 1419, 5219, 547, 607, 968, 3863, 14836, 892, 1317, 789, 616, 1447, 9268, 982, 11491, 4327, 3043, 4006, 269, 1452, 14836, 1331, 930, 540, 519, 15895, 5214, 2326, 602, 616, 6569, 1282, 519, 4393, 540, 11491, 4327, 4006, 269, 5915, 518, 4673, 568, 3957, 585, 513, 5449, 10656, 12733, 538, 24053, 3570, 602, 729, 519, 3312, 2707, 540, 519, 4006, 269, 5695, 16535, 5964, 568, 3957, 585, 519, 25916, 525, 610, 18434, 538, 799, 621, 568, 838, 684, 547, 4894, 930, 540, 519, 2030, 1570, 547, 13148, 13217, 621, 269, 1280, 922, 851, 267, 17491, 538, 519, 21984, 568, 513, 6216, 540, 8514, 514, 5964, 4006, 269, 1879, 649, 13820, 539, 891, 14836, 2427, 676, 2427, 267, 930, 512, 7539, 1336, 519, 5915, 518, 4673, 4006, 811, 968, 16386, 1947, 12387, 13293, 3917, 892, 610, 968, 8364, 14712, 3917, 892, 982, 519, 8514, 514, 5964, 267, 855, 519, 3604, 941, 11029, 269, 634, 2681, 540, 891, 14836, 9775, 267, 4470, 593, 519, 6216, 269, 26681, 4006, 4744, 11510, 607, 11593, 607, 11491, 4327, 4006, 865, 649, 2057, 873, 538, 4402, 610, 14859, 269, 1809, 607, 513, 29511, 344, 547, 6137, 585, 544, 4428, 1231, 610, 12897, 267, 789, 616, 20049, 762, 563, 15578, 645, 5588, 307, 6865, 700, 12114, 281, 5695, 16535, 5964, 543, 5915, 518, 4673, 14836, 616, 20049, 762, 269, 1703, 616, 13581, 3604, 538, 8137, 543, 2681, 267, 855, 789, 616, 8449, 1434, 585, 20057, 1782, 593, 19323, 5370, 610, 28817, 883, 6995, 269, 1284, 1810, 1406, 4363, 1210, 2901, 538, 10627, 1562, 610, 14859, 338, 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 ]
[ 0, 7170, 281, 22718, 26187, 28895, 10326, 681, 902, 547, 13760, 12815, 8693, 17148, 692, 272, 269, 2878, 8139, 519, 1523, 540, 8093, 1242, 3529, 14034, 5093, 4746, 1634, 607, 27765, 549, 11388, 1108, 267, 7421, 8093, 1242, 3529, 14034, 2636, 3744, 547, 1353, 2250, 2916, 2175, 676, 6313, 519, 2208, 3270, 538, 4054, 269, 3962, 8258, 4564, 835, 1032, 540, 2208, 267, 3246, 3407, 4030, 883, 2825, 2188, 899, 2837, 267, 11811, 267, 543, 7943, 4598, 1282, 1114, 942, 5712, 563, 273, 269, 2878, 8624, 22162, 3529, 4295, 5439, 5093, 1677, 1376, 707, 2079, 267, 2445, 3529, 4295, 5439, 689, 2713, 610, 4666, 4054, 269, 2422, 606, 27261, 16004, 337, 267, 799, 20998, 513, 1804, 1351, 802, 920, 342, 267, 547, 1349, 20425, 23780, 1510, 4929, 1713, 3441, 547, 519, 3529, 269, 2142, 2386, 547, 6003, 1142, 3732, 5402, 609, 922, 4087, 267, 4266, 267, 543, 1022, 824, 4143, 1344, 563, 274, 269, 2878, 27609, 566, 540, 519, 3529, 4295, 5439, 5093, 4495, 6394, 267, 5965, 519, 5439, 585, 6514, 269, 901, 3322, 5070, 532, 519, 2627, 540, 519, 4295, 2394, 621, 568, 5347, 543, 6366, 269, 1411, 666, 798, 713, 16924, 1210, 24482, 32067, 9344, 540, 5070, 17549, 610, 2308, 7463, 3937, 2966, 4481, 585, 8600, 3529, 23780, 563, 275, 269, 2878, 22860, 4506, 519, 8700, 540, 519, 3529, 14034, 5093, 12763, 519, 8700, 540, 1142, 1367, 8258, 896, 513, 17209, 610, 3172, 4328, 4837, 269, 16680, 891, 7403, 23939, 267, 4180, 6111, 543, 11007, 2429, 519, 1184, 269, 5901, 3950, 540, 1761, 6959, 543, 24604, 2404, 609, 1142, 6482, 563, 276, 269, 2878, 32575, 3270, 538, 3529, 8258, 2208, 5093, 6733, 585, 3466, 543, 21374, 1063, 15654, 14034, 267, 607, 1134, 607, 6626, 3270, 17364, 2789, 5756, 269, 1452, 949, 5815, 10593, 538, 2199, 2916, 2175, 267, 971, 607, 2799, 13247, 3056, 547, 9962, 14034, 610, 4389, 5210, 4611, 538, 7522, 518, 3283, 563, 277, 269, 2878, 15899, 1673, 908, 3529, 4295, 5439, 5093, 14424, 707, 4681, 1996, 4704, 12225, 3098, 3964, 676, 3105, 2090, 5342, 538, 2147, 4525, 610, 8134, 269, 9061, 1673, 908, 6087, 3173, 547, 15222, 1125, 741, 14449, 267, 7393, 6015, 538, 519, 14496, 540, 741, 8753, 3823, 3140, 2916, 7648, 563, 278, 269, 2878, 21809, 6750, 2079, 540, 3529, 8258, 1239, 5093, 15233, 8579, 2553, 547, 22945, 3347, 1063, 3529, 2208, 3270, 543, 20296, 4632, 269, 1280, 3236, 267, 5173, 9756, 14170, 547, 2708, 519, 4222, 543, 4287, 540, 12205, 1063, 2837, 22114, 543, 5993, 24293, 2208, 1213, 906, 563, 279, 269, 2878, 11328, 31147, 2164, 543, 18949, 532, 2250, 2916, 2175, 5093, 9122, 593, 707, 9382, 267, 18505, 2693, 15088, 538, 2837, 267, 13247, 267, 543, 824, 2825, 2188, 936, 942, 269, 10439, 1125, 891, 3466, 1210, 11708, 610, 12222, 267, 10223, 2565, 795, 9417, 999, 1141, 8101, 19260, 7018, 563, 280, 269, 2878, 21008, 532, 2164, 609, 15747, 5638, 5093, 4406, 28371, 707, 4681, 676, 9236, 873, 1996, 2139, 15747, 5638, 267, 971, 607, 2837, 13220, 5833, 689, 4365, 10473, 269, 2755, 3908, 538, 9165, 267, 971, 16198, 666, 948, 24772, 6015, 538, 519, 7347, 1145, 540, 707, 12779, 16438, 1493, 16646, 563, 1015, 269, 2878, 15973, 21899, 707, 4681, 5093, 9523, 707, 1382, 609, 8284, 3744, 267, 14519, 267, 543, 519, 2489, 1857, 998, 4081, 12326, 267, 19014, 267, 543, 2442, 2923, 19093, 269, 1635, 22412, 908, 1702, 6591, 689, 4974, 8093, 1242, 3529, 14034, 267, 649, 3565, 547, 513, 1732, 1620, 540, 3047, 781, 1950, 2916, 1062, 543, 1217, 2994, 6322, 693, 19086, 2104, 5222, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 2253, 519, 2034, 957, 540, 31408, 543, 590, 29229, 779, 4793, 1466, 267, 15248, 13191, 13788, 513, 11953, 1305, 267, 16295, 9887, 1354, 1200, 1591, 334, 267, 543, 538, 1079, 18627, 581, 15879, 753, 519, 2242, 540, 2810, 2085, 269, 769, 519, 1101, 267, 610, 6671, 267, 2272, 267, 1352, 561, 14613, 1018, 1352, 814, 4503, 609, 519, 1296, 267, 855, 538, 519, 2034, 630, 14588, 1136, 6140, 540, 2597, 264, 1352, 5359, 513, 11931, 2333, 281, 968, 2467, 786, 581, 1932, 1454, 540, 803, 538, 519, 4947, 676, 543, 676, 17373, 634, 9644, 540, 713, 5152, 4249, 2390, 938, 3283, 3660, 10206, 602, 4376, 2025, 1590, 1831, 10599, 1229, 267, 12816, 267, 543, 5051, 581, 516, 1111, 540, 1344, 563, 306, 3273, 1513, 1419, 1118, 519, 1482, 7301, 13429, 602, 4207, 2665, 1590, 1683, 6099, 1239, 267, 1247, 519, 5638, 540, 3621, 960, 20406, 6175, 538, 3178, 543, 10727, 607, 789, 1332, 4587, 543, 4587, 269, 1284, 1522, 4061, 15475, 602, 267, 547, 1174, 2257, 267, 513, 14787, 610, 1914, 6048, 1058, 1353, 9840, 543, 8906, 1631, 538, 519, 1818, 269, 8616, 513, 4090, 779, 2219, 827, 938, 6639, 2085, 1058, 16616, 519, 2887, 2329, 538, 971, 513, 2990, 269, 3776, 6191, 723, 2520, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 293, 1601, 28895, 10326, 681, 902, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 26187, 2812, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 8080, 547, 519, 1158, 540, 552, 19645, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 11891, 2359, 3301, 543, 922, 1909, 538, 1945, 1572, 1412, 323, 28979, 327, 6235, 9538, 1411, 1522, 723, 4862, 707, 3237, 2911, 827, 9140, 1919, 2228, 1107, 1134, 267, 602, 781, 1018, 552, 19645, 568, 782, 827, 269, 667, 28979, 327, 6235, 568, 835, 1259, 1004, 2196, 741, 1378, 2228, 4213, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 1616, 547, 1376, 606, 2228, 4558, 9513, 3579, 19269, 899, 30069, 267, 6049, 2665, 267, 543, 5100, 342, 520, 2583, 269, 1809, 7227, 267, 1141, 786, 596, 1832, 782, 891, 2472, 286, 2334, 781, 1141, 11891, 2501, 883, 1404, 269, 22802, 1797, 2348, 2614, 3688, 4712, 547, 6133, 8164, 2576, 4025, 606, 1931, 269, 3767, 267, 5883, 11891, 676, 3054, 1223, 581, 3833, 4101, 282, 713, 568, 1141, 11891, 2359, 3301, 3268, 538, 547, 4688, 519, 1554, 2439, 1103, 1203, 800, 2359, 3301, 2337, 596, 3950, 875, 1082, 3688, 596, 723, 2451, 267, 9753, 4947, 538, 267, 1007, 6006, 5838, 625, 267, 543, 1256, 15920, 25887, 952, 7727, 616, 4881, 1970, 269, 898, 8952, 3388, 6896, 865, 596, 1810, 1406, 991, 547, 5855, 827, 10203, 3688, 16924, 610, 7508, 856, 593, 6455, 1317, 596, 10443, 856, 540, 6006, 269, 901, 1826, 540, 3301, 2306, 1272, 4443, 585, 1312, 2462, 3549, 543, 4130, 2228, 8637, 780, 3719, 1934, 781, 519, 6335, 1107, 538, 12772, 327, 6235, 267, 9358, 1810, 1405, 2965, 3180, 1022, 11891, 256, 5502, 267, 950, 2576, 1207, 903, 513, 1587, 689, 707, 2228, 4558, 267, 1776, 2754, 15004, 543, 9635, 621, 2047, 547, 873, 269, 1924, 10416, 267, 596, 957, 899, 513, 1647, 2006, 1063, 5561, 543, 14273, 269, 2060, 12772, 327, 6235, 267, 1210, 11891, 2359, 3301, 1869, 6927, 1317, 621, 13071, 596, 917, 799, 2472, 616, 2442, 267, 13475, 6928, 906, 267, 543, 20362, 6075, 1344, 18172, 780, 4131, 781, 1294, 875, 938, 16494, 31942, 6300, 1131, 960, 609, 12772, 327, 6235, 1384, 272, 269, 7994, 930, 15813, 19269, 689, 1114, 9755, 945, 2709, 12772, 327, 6235, 2533, 563, 273, 269, 5410, 1346, 6074, 19269, 547, 707, 2228, 4558, 269, 1879, 17609, 1142, 6221, 267, 3314, 547, 2638, 5777, 543, 11288, 3790, 3177, 676, 519, 10672, 563, 274, 269, 589, 6075, 9060, 707, 4558, 267, 14560, 513, 6292, 540, 30069, 267, 543, 16976, 547, 4444, 873, 269, 962, 599, 2336, 275, 269, 2659, 11891, 2359, 3301, 14678, 11974, 875, 1082, 8424, 540, 30069, 616, 2139, 998, 519, 10672, 269, 3143, 991, 547, 1293, 4376, 3054, 2336, 276, 269, 4495, 519, 9042, 568, 2347, 267, 707, 3301, 6645, 519, 10672, 547, 6494, 519, 30069, 2786, 547, 707, 17681, 6075, 269, 14168, 890, 6470, 2439, 2026, 596, 666, 1294, 267, 5329, 3950, 540, 11891, 3587, 1447, 7294, 609, 971, 3301, 269, 9578, 267, 972, 781, 1100, 991, 547, 10519, 4859, 2230, 585, 4439, 5652, 3688, 610, 4308, 609, 11183, 543, 11288, 31484, 956, 269, 2353, 891, 2640, 1450, 811, 1004, 899, 18295, 11639, 610, 2199, 4558, 5411, 547, 2119, 741, 9939, 538, 552, 19645, 780, 4517, 7058, 1018, 286, 4340, 547, 2487, 1382, 267, 519, 1871, 540, 5370, 4421, 998, 12772, 327, 6235, 5001, 8057, 6385, 936, 519, 2250, 1906, 1296, 269, 1635, 476, 1708, 276, 267, 4966, 2503, 621, 547, 3914, 513, 627, 25891, 1269, 9692, 269, 278, 645, 21135, 12778, 9489, 256, 5994, 1373, 851, 540, 602, 6909, 22820, 1175, 676, 1565, 827, 11891, 2359, 2221, 269, 30474, 3579, 267, 26001, 2496, 3383, 1631, 596, 917, 602, 2436, 596, 5326, 540, 4742, 606, 552, 19645, 544, 690, 592, 610, 3274, 5660, 513, 12347, 7307, 1062, 267, 1620, 11891, 2359, 3301, 4249, 513, 2629, 1909, 538, 1818, 2228, 9467, 8853, 269, 8414, 9513, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 1018, 568, 12772, 327, 6235, 267, 519, 5294, 543, 931, 540, 12772, 327, 6235, 267, 543, 875, 12772, 327, 6235, 666, 948, 596, 607, 606, 4540, 1870, 8227, 269, 5700, 519, 1655, 2853, 547, 1305, 909, 513, 12772, 327, 6235, 1870, 267, 543, 1174, 519, 8051, 1655, 2259, 585, 12772, 327, 6235, 563, 10454, 2518, 12772, 327, 6235, 2344, 2450, 729, 12595, 693, 20430, 476, 9083, 269, 273, 5479, 538, 476, 1001, 279, 543, 568, 4397, 547, 11578, 513, 7623, 5993, 2208, 2557, 630, 7563, 16165, 264, 540, 476, 2764, 269, 279, 260, 689, 476, 1001, 280, 547, 476, 1708, 276, 1701, 910, 9835, 1613, 3194, 267, 476, 1001, 280, 454, 291, 28979, 327, 6235, 814, 1044, 1472, 2094, 519, 13875, 19195, 22331, 9233, 540, 519, 476, 2568, 338, 543, 476, 3583, 338, 269, 1717, 267, 621, 4718, 513, 4473, 538, 8560, 538, 476, 1001, 271, 267, 950, 519, 4457, 2344, 2968, 1454, 811, 3015, 609, 519, 4332, 540, 1325, 773, 343, 12304, 269, 17553, 909, 606, 552, 19645, 3896, 729, 849, 1500, 23704, 609, 19255, 1518, 267, 799, 849, 9411, 519, 2344, 538, 476, 1001, 271, 269, 634, 1942, 543, 4220, 540, 4259, 909, 606, 2228, 12772, 327, 6235, 1870, 941, 20427, 4389, 267, 3850, 585, 811, 29014, 11639, 543, 1507, 1870, 5411, 547, 4283, 519, 552, 19645, 2872, 563, 3086, 538, 476, 1708, 271, 267, 12772, 327, 6235, 568, 28125, 267, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1103, 1203, 800, 5004, 12229, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 661, 4211, 558, 12692, 1315, 6732, 29665, 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, 1012, 4197, 4578, 10439, 1436, 609, 5124, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 547, 14650, 1239, 1210, 5124, 269, 4578, 14839, 568, 513, 3532, 1907, 602, 2337, 721, 1174, 543, 4612, 1950, 1239, 269, 1284, 786, 946, 513, 5399, 1572, 32287, 267, 799, 568, 513, 2442, 5124, 5399, 585, 2870, 11979, 267, 19347, 267, 543, 7317, 32331, 538, 5124, 780, 2162, 12305, 532, 543, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 649, 991, 547, 3888, 519, 2556, 8021, 269, 1411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 729, 513, 2442, 10278, 1354, 621, 2968, 513, 3084, 5244, 269, 5822, 267, 621, 729, 519, 1152, 2817, 5244, 585, 7366, 540, 5195, 1472, 269, 4438, 519, 4832, 267, 538, 606, 6382, 3905, 543, 3819, 267, 3046, 1066, 31403, 519, 6288, 729, 513, 2189, 4015, 540, 7777, 543, 4195, 1216, 20950, 609, 3579, 524, 872, 802, 6456, 538, 695, 8014, 23898, 269, 2755, 15877, 1390, 2450, 610, 6264, 16725, 267, 1773, 3430, 2817, 5244, 6035, 513, 1747, 540, 3579, 1216, 543, 12094, 585, 519, 3003, 1920, 547, 6001, 563, 12441, 1411, 5700, 888, 1103, 1840, 547, 513, 536, 2581, 23636, 267, 689, 476, 4572, 271, 268, 4350, 275, 267, 1773, 3430, 2817, 5244, 1496, 1492, 1459, 6377, 1773, 3430, 19866, 10588, 540, 19529, 553, 1177, 2817, 28046, 9351, 316, 729, 3984, 547, 513, 1507, 23636, 540, 1714, 330, 269, 769, 476, 4350, 275, 1034, 540, 519, 1714, 330, 941, 1793, 4381, 1229, 543, 10480, 547, 3885, 17596, 8323, 689, 519, 4279, 12870, 269, 2859, 1862, 0, 8072, 1103, 519, 3735, 476, 4198, 271, 338, 1472, 513, 5479, 1004, 1765, 12671, 835, 21017, 540, 519, 1158, 779, 2551, 1765, 26200, 6059, 547, 979, 17237, 1169, 1554, 269, 5482, 1149, 941, 17116, 6634, 538, 5607, 543, 4000, 538, 1880, 267, 543, 16548, 585, 8023, 519, 1158, 779, 1630, 4040, 2551, 6743, 6926, 752, 269, 769, 3210, 547, 713, 24034, 4605, 267, 3744, 267, 14519, 267, 6705, 267, 543, 7255, 2043, 15748, 513, 13447, 539, 7903, 547, 5818, 6694, 2504, 543, 7607, 538, 3384, 2477, 269, 15043, 543, 4853, 1242, 2477, 267, 1927, 609, 1646, 8041, 543, 3540, 2486, 3906, 267, 22002, 513, 2039, 540, 7459, 538, 6683, 281, 789, 4294, 2413, 2257, 547, 7693, 543, 13184, 2504, 267, 9112, 12555, 1949, 267, 2919, 1007, 14713, 2853, 547, 18359, 2067, 2200, 267, 5189, 4507, 547, 5000, 6705, 547, 1332, 543, 6133, 811, 1426, 267, 543, 9250, 1082, 824, 3292, 538, 6694, 1646, 269, 634, 1267, 286, 6168, 835, 5479, 1004, 1631, 979, 17237, 1169, 1554, 19028, 3383, 5956, 2048, 27908, 687, 12658, 8072, 267, 594, 17025, 6020, 779, 4015, 540, 10575, 14823, 2013, 2090, 540, 6694, 1967, 267, 14102, 676, 519, 27176, 7690, 269, 898, 3091, 606, 4277, 2257, 1341, 4357, 5823, 4831, 4812, 547, 12794, 11219, 3019, 26284, 779, 14174, 302, 1433, 593, 1909, 540, 519, 1533, 630, 5408, 3105, 5816, 1916, 763, 476, 736, 2013, 2090, 1331, 18454, 538, 9396, 908, 2030, 3676, 543, 12961, 538, 10568, 267, 12418, 543, 22101, 6072, 267, 519, 5682, 7169, 538, 5607, 630, 1993, 1576, 1070, 4824, 11729, 538, 3979, 22959, 267, 7489, 544, 2426, 28369, 610, 4095, 2113, 2280, 543, 22408, 32758, 282, 4642, 11489, 720, 2409, 538, 18335, 267, 3127, 543, 9031, 267, 543, 16027, 21445, 5647, 538, 1216, 543, 3037, 2359, 538, 8738, 330, 2088, 674, 553, 334, 543, 20997, 269, 15726, 302, 2010, 949, 581, 811, 26617, 936, 519, 3622, 4550, 15581, 18879, 593, 2344, 543, 2244, 26022, 15024, 267, 855, 972, 568, 606, 4277, 2048, 628, 2273, 1259, 685, 2298, 547, 519, 4901, 593, 519, 18454, 540, 10683, 24625, 520, 643, 1436, 538, 3127, 267, 610, 10412, 6705, 685, 12205, 538, 8738, 330, 2088, 674, 553, 334, 563, 14611, 4245, 689, 891, 476, 736, 2013, 2090, 888, 8072, 16631, 543, 2029, 281, 634, 3498, 540, 2257, 543, 2029, 547, 6694, 1646, 1765, 2436, 676, 3384, 4359, 2553, 585, 7693, 9960, 610, 21130, 6705, 685, 2757, 3037, 543, 1216, 2359, 2853, 28934, 513, 1455, 24572, 540, 1967, 563, 4467, 921, 29232, 9541, 269, 3163, 543, 2029, 616, 711, 2614, 281, 13455, 1857, 5092, 538, 519, 8800, 543, 3301, 540, 6694, 1646, 568, 849, 2565, 269, 901, 2882, 1857, 5092, 538, 12555, 14565, 267, 6917, 4155, 5121, 267, 6917, 2069, 267, 2344, 5989, 267, 543, 9431, 1949, 563, 7468, 10675, 15314, 269, 1809, 1256, 609, 13455, 1857, 5092, 538, 2257, 267, 2029, 267, 543, 14911, 5092, 2127, 267, 2370, 666, 581, 6913, 1510, 519, 1318, 15314, 267, 8380, 4507, 538, 1747, 602, 5000, 6705, 267, 11639, 267, 543, 3549, 547, 1902, 538, 6683, 267, 543, 4180, 602, 6990, 1683, 4977, 543, 12905, 3902, 6786, 547, 891, 4357, 5823, 11051, 563, 10870, 7774, 543, 5698, 269, 16890, 4721, 1851, 3309, 11051, 538, 519, 6694, 5823, 1765, 516, 14142, 32112, 267, 2146, 2861, 3906, 267, 4357, 3549, 267, 2229, 8041, 267, 543, 3486, 4703, 1765, 732, 10423, 538, 3592, 782, 18454, 563, 20755, 532, 543, 4058, 269, 3509, 18454, 1267, 689, 1434, 12557, 267, 2436, 676, 4960, 610, 1374, 563, 16987, 2939, 566, 543, 4720, 269, 10705, 267, 18454, 10836, 689, 22297, 6901, 602, 1450, 5171, 547, 1451, 689, 741, 9073, 267, 3082, 547, 2242, 538, 519, 5251, 267, 11457, 607, 519, 4730, 2361, 3587, 811, 1950, 267, 543, 11654, 31278, 267, 1900, 8386, 9912, 4485, 547, 18440, 909, 563, 26322, 9525, 269, 13565, 569, 267, 676, 642, 20535, 2950, 609, 513, 7196, 538, 9562, 540, 513, 1646, 1184, 267, 29065, 7589, 8309, 1454, 547, 519, 1279, 3856, 6940, 540, 513, 1967, 563, 22117, 11429, 543, 11428, 269, 10705, 267, 519, 3435, 2877, 547, 2232, 6694, 1646, 2591, 2154, 6131, 2043, 547, 1118, 519, 3017, 1765, 577, 2086, 687, 547, 7903, 519, 3390, 547, 519, 21282, 540, 519, 1857, 779, 9637, 267, 6542, 1018, 666, 581, 2944, 538, 519, 3068, 540, 9583, 31837, 25236, 762, 2591, 267, 610, 20834, 1125, 519, 2797, 543, 2883, 3854, 547, 7753, 24880, 10200, 0, 288, 1353, 593, 1981, 2188, 585, 11376, 520, 454, 14116, 770, 878, 8920, 520, 566, 543, 2019, 341, 15252, 910, 717, 291, 309, 264, 729, 5063, 3370, 269, 272, 454, 763, 1353, 8947, 513, 3984, 540, 1761, 1981, 2188, 585, 519, 1646, 540, 713, 1419, 14603, 2783, 799, 568, 811, 7928, 538, 1804, 543, 9649, 14981, 540, 5243, 269, 634, 3173, 1500, 930, 7422, 267, 930, 540, 799, 17591, 4681, 689, 3105, 2090, 676, 519, 1482, 3173, 269, 1280, 3236, 267, 1759, 2390, 713, 1353, 267, 519, 3173, 4363, 23646, 519, 2557, 540, 8023, 538, 1804, 5243, 267, 855, 602, 3257, 519, 1482, 585, 9649, 14981, 568, 538, 611, 6665, 762, 269, 769, 606, 4505, 1353, 267, 2705, 267, 621, 729, 1336, 602, 5488, 4189, 729, 2404, 609, 606, 2799, 1981, 610, 717, 291, 309, 269, 634, 4505, 1353, 849, 1336, 606, 7681, 1063, 4189, 3819, 1426, 543, 606, 2799, 1981, 540, 717, 291, 309, 269, 11778, 540, 519, 1699, 2303, 713, 949, 711, 581, 3020, 563, 4467, 906, 689, 938, 27259, 16065, 912, 11328, 31147, 5530, 11778, 454, 18183, 997, 1154, 2164, 689, 1382, 2090, 568, 711, 602, 16613, 269, 11778, 949, 8428, 1317, 1114, 2553, 616, 1031, 267, 1114, 5095, 616, 6594, 267, 610, 1114, 8579, 2409, 616, 4294, 269, 769, 1034, 2665, 267, 649, 1745, 1454, 811, 6899, 609, 519, 2164, 540, 513, 1353, 952, 519, 1482, 2164, 616, 5833, 676, 513, 1114, 1353, 676, 1114, 3173, 269, 645, 1168, 732, 540, 16561, 513, 835, 24733, 4588, 5758, 540, 519, 2164, 540, 513, 1353, 1510, 5402, 2542, 543, 1620, 519, 3003, 1353, 269, 16228, 21622, 762, 610, 2192, 16479, 2164, 1058, 6318, 513, 2699, 9206, 543, 5815, 811, 1382, 568, 2877, 563, 3080, 1455, 12161, 568, 547, 9959, 602, 835, 2680, 3123, 1776, 269, 5516, 1590, 581, 3144, 950, 16208, 1353, 2164, 3448, 547, 2014, 543, 1198, 269, 5565, 2621, 949, 581, 2404, 609, 1142, 824, 267, 855, 835, 1281, 711, 8209, 2014, 519, 824, 269, 15439, 1317, 7926, 589, 4679, 693, 519, 1482, 942, 607, 7926, 645, 267, 1281, 711, 1611, 7926, 589, 3361, 645, 610, 13030, 17930, 269, 1703, 949, 581, 513, 3791, 2680, 267, 7926, 595, 267, 799, 568, 2965, 519, 2014, 540, 519, 824, 1079, 269, 1284, 666, 2161, 15638, 589, 543, 645, 2408, 547, 581, 2404, 609, 1142, 824, 267, 855, 547, 2161, 835, 2680, 568, 3361, 676, 1776, 949, 1291, 721, 1524, 519, 4636, 2619, 563, 2026, 606, 1383, 267, 538, 5682, 7345, 267, 16855, 267, 1753, 540, 519, 13268, 619, 267, 593, 1978, 9530, 904, 513, 1804, 8167, 540, 519, 1004, 5957, 3039, 543, 4154, 267, 543, 693, 519, 1482, 942, 267, 972, 568, 513, 1390, 2333, 538, 6808, 538, 519, 2749, 269, 6496, 835, 540, 891, 2621, 2014, 519, 824, 286, 3143, 269, 769, 1249, 267, 789, 616, 1644, 547, 513, 3791, 2680, 281, 513, 1753, 3014, 563, 763, 7726, 540, 14780, 2213, 5253, 14332, 3149, 454, 1103, 713, 1353, 267, 950, 7421, 519, 7681, 1063, 519, 2557, 540, 717, 291, 309, 543, 519, 4463, 540, 519, 1426, 12826, 930, 2055, 8451, 269, 3689, 267, 519, 1353, 1336, 602, 1804, 9742, 5243, 4171, 1426, 26633, 616, 711, 11506, 723, 519, 9803, 1981, 540, 717, 291, 309, 269, 589, 14845, 4466, 568, 602, 1804, 9742, 5243, 945, 723, 741, 12826, 6659, 936, 476, 272, 3723, 723, 519, 1985, 9803, 1981, 267, 543, 1346, 945, 723, 741, 1426, 12826, 6659, 12341, 1063, 519, 6989, 543, 835, 3723, 723, 519, 5207, 1981, 269, 1924, 267, 519, 1981, 540, 717, 291, 309, 568, 711, 14354, 547, 519, 4463, 540, 519, 1426, 12826, 269, 1403, 4463, 540, 519, 1426, 12826, 568, 1271, 267, 1946, 3085, 1405, 519, 1981, 20406, 2333, 519, 2362, 519, 1426, 12826, 568, 6659, 888, 30772, 267, 621, 5526, 602, 519, 3173, 1705, 711, 2015, 519, 4463, 540, 519, 3662, 538, 2078, 547, 519, 4463, 540, 519, 12826, 950, 3168, 585, 606, 7681, 1063, 1426, 12826, 4463, 543, 9860, 540, 717, 291, 309, 269, 898, 1131, 581, 540, 1719, 547, 5635, 519, 4463, 540, 519, 12826, 547, 519, 4463, 540, 519, 2915, 267, 2094, 5243, 538, 713, 1353, 9867, 4922, 538, 4463, 1813, 547, 9742, 3604, 543, 2085, 630, 16341, 941, 1152, 476, 277, 3275, 2025, 1916, 763, 3791, 2243, 568, 267, 1412, 25585, 14201, 1405, 2147, 4681, 5833, 538, 9649, 9742, 5243, 286, 262, 769, 9649, 14981, 267, 5243, 609, 1426, 26633, 6659, 1447, 982, 835, 3723, 1185, 519, 1482, 11841, 540, 717, 291, 309, 607, 1346, 5243, 945, 1705, 711, 723, 741, 8286, 6659, 693, 782, 563, 7661, 267, 621, 568, 15458, 952, 519, 3173, 849, 9916, 2436, 519, 11506, 29650, 941, 1373, 1031, 1317, 824, 2564, 2042, 941, 1459, 267, 610, 952, 519, 11506, 29650, 1223, 3310, 824, 2188, 971, 607, 519, 3432, 540, 4189, 269, 16393, 891, 2564, 2042, 610, 824, 2188, 267, 2864, 982, 519, 11506, 29650, 267, 723, 8329, 547, 519, 2333, 538, 717, 291, 309, 538, 713, 1895, 888, 21008, 2581, 547, 4033, 5525, 454, 763, 2164, 540, 713, 1353, 3858, 609, 1034, 3105, 2090, 799, 849, 1336, 602, 717, 291, 309, 4679, 609, 2085, 269, 2201, 519, 824, 1688, 267, 538, 1896, 2090, 267, 5243, 945, 17696, 5488, 1185, 2362, 3928, 540, 717, 291, 309, 269, 769, 713, 1353, 267, 649, 1185, 513, 15116, 4466, 281, 4189, 693, 513, 3728, 2557, 729, 2404, 609, 606, 2799, 2557, 540, 717, 291, 309, 538, 1804, 9742, 5243, 267, 855, 513, 8519, 2557, 538, 9649, 9742, 5243, 269, 1703, 723, 1044, 824, 30137, 4681, 538, 1382, 593, 717, 291, 309, 269, 769, 930, 2090, 267, 621, 729, 1336, 602, 14968, 5243, 1185, 2362, 3928, 540, 717, 291, 309, 267, 543, 538, 824, 2090, 267, 10709, 5243, 1185, 2362, 3928, 269, 769, 713, 1353, 267, 2597, 1705, 711, 3100, 547, 1118, 513, 3017, 269, 769, 1034, 2090, 267, 1519, 713, 835, 267, 519, 2557, 540, 717, 291, 309, 1063, 9038, 543, 8951, 941, 2147, 282, 538, 835, 1353, 267, 2705, 267, 9038, 1185, 606, 3507, 2406, 2362, 2557, 563, 289, 18847, 1899, 281, 2859, 1382, 2115, 547, 581, 2944, 593, 7114, 1981, 2188, 585, 717, 291, 309, 269, 2311, 713, 1448, 267, 621, 568, 7334, 2436, 4376, 649, 798, 630, 324, 3052, 1421, 4657, 519, 2179, 540, 3635, 543, 1216, 6981, 267, 4463, 540, 1426, 26633, 267, 610, 3432, 540, 4189, 264, 786, 6175, 610, 2333, 519, 2557, 540, 717, 291, 309, 269, 1284, 1058, 581, 3222, 602, 519, 1981, 540, 717, 291, 309, 5526, 547, 2333, 609, 2085, 543, 621, 949, 581, 811, 1455, 538, 1978, 3885, 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 ]
[ 272, 609, 519, 2048, 310, 11596, 1117, 20232, 685, 1373, 4553, 269, 2353, 8933, 689, 713, 7504, 21489, 16935, 2095, 7178, 5991, 2180, 8054, 883, 519, 3143, 320, 4144, 3107, 267, 799, 1287, 8928, 883, 2667, 600, 607, 519, 2048, 289, 19441, 4144, 3107, 9957, 898, 1287, 12388, 525, 609, 519, 700, 2129, 527, 5757, 543, 6368, 883, 519, 23347, 14090, 583, 571, 563, 2414, 19582, 519, 1858, 18385, 1082, 13605, 8932, 3885, 540, 19622, 2667, 600, 681, 604, 956, 10986, 941, 12306, 1934, 609, 2407, 2229, 1489, 269, 14066, 14828, 543, 2244, 729, 2016, 547, 873, 269, 5253, 729, 13859, 547, 873, 998, 21484, 641, 1562, 543, 4888, 476, 3953, 14742, 267, 630, 16838, 2221, 264, 543, 519, 23183, 334, 13305, 6359, 599, 333, 26196, 4155, 729, 3710, 538, 827, 476, 3192, 273, 630, 2254, 4628, 6198, 11489, 2221, 1040, 11153, 5065, 28988, 340, 17174, 3885, 267, 945, 941, 8385, 20404, 689, 8738, 2742, 267, 849, 12306, 1934, 936, 5756, 267, 1454, 1354, 3127, 5174, 584, 2742, 10465, 1629, 2117, 566, 563, 7628, 5988, 547, 4989, 476, 1220, 271, 267, 513, 5428, 540, 3744, 689, 14732, 631, 2033, 7690, 267, 10854, 531, 648, 4941, 547, 1382, 11507, 540, 17707, 9194, 1063, 3127, 543, 8738, 2742, 269, 2290, 540, 741, 6663, 729, 547, 3914, 932, 879, 16988, 1780, 269, 9603, 547, 7965, 789, 11074, 693, 2547, 1614, 2395, 1354, 8757, 519, 1780, 269, 279, 454, 5978, 29980, 540, 932, 879, 16988, 10426, 454, 2171, 22755, 547, 519, 1546, 3316, 15805, 561, 17690, 4092, 538, 519, 21601, 323, 2378, 320, 5842, 551, 4231, 269, 674, 5217, 21601, 323, 2378, 320, 5757, 543, 593, 519, 8492, 540, 3143, 320, 4144, 3107, 621, 729, 1134, 13883, 547, 7747, 5017, 543, 3552, 1272, 269, 667, 777, 3873, 645, 636, 8445, 630, 3393, 278, 271, 544, 264, 568, 2938, 26009, 936, 519, 5757, 14860, 689, 1934, 563, 763, 3143, 320, 4144, 3107, 5757, 689, 2011, 269, 630, 298, 26915, 21502, 320, 994, 763, 3143, 320, 4144, 3107, 729, 513, 4190, 5757, 267, 1631, 32668, 543, 4544, 267, 11303, 676, 4104, 269, 769, 30734, 621, 1590, 581, 513, 9810, 609, 14700, 1216, 543, 1835, 22824, 5011, 269, 634, 14860, 568, 7755, 334, 1441, 593, 1614, 5011, 676, 519, 8738, 332, 3150, 11182, 543, 585, 5481, 621, 729, 12199, 676, 519, 13259, 558, 15438, 540, 2667, 600, 269, 901, 2244, 729, 13026, 676, 519, 19453, 1842, 267, 945, 941, 28330, 547, 918, 778, 1231, 540, 519, 670, 4157, 1177, 978, 14860, 540, 8738, 2742, 563, 1103, 2904, 476, 9264, 276, 8738, 332, 3150, 4229, 4359, 998, 519, 1780, 547, 556, 8410, 20960, 621, 689, 2667, 600, 269, 634, 19453, 1842, 945, 18808, 538, 10437, 267, 513, 3609, 711, 7109, 730, 676, 519, 3703, 267, 21787, 602, 789, 949, 581, 30461, 689, 2244, 789, 11262, 538, 519, 23347, 14090, 583, 571, 14860, 267, 865, 789, 5828, 1996, 519, 3703, 543, 8678, 519, 8738, 332, 3150, 4229, 269, 634, 28164, 1185, 6603, 2539, 3143, 320, 4144, 3107, 543, 3710, 1219, 1878, 972, 269, 1358, 941, 1558, 676, 18279, 3026, 18860, 6807, 609, 476, 4968, 9484, 9081, 543, 1079, 7784, 2692, 1846, 693, 667, 777, 3873, 269, 589, 2178, 6006, 1228, 2990, 729, 4371, 676, 1082, 8738, 332, 3150, 7980, 543, 1906, 29816, 269, 12650, 1005, 891, 7158, 519, 3703, 3196, 8399, 539, 25318, 269, 1358, 1558, 513, 3677, 3196, 540, 8738, 332, 3150, 543, 19453, 1842, 693, 645, 13453, 267, 827, 1079, 5195, 25318, 593, 513, 29815, 776, 540, 3143, 320, 4144, 3107, 269, 769, 513, 22266, 4339, 8738, 332, 3150, 941, 17204, 543, 19453, 1842, 16559, 269, 1280, 1985, 8717, 519, 3703, 4371, 782, 519, 10596, 593, 519, 4793, 330, 2967, 2039, 543, 23498, 519, 14860, 689, 13567, 676, 519, 19453, 1842, 543, 8738, 332, 3150, 563, 30952, 667, 7469, 3534, 10794, 267, 835, 540, 519, 2185, 7986, 19453, 17763, 8783, 18084, 519, 4793, 330, 2967, 2039, 689, 670, 4157, 1177, 978, 14860, 543, 16091, 645, 13453, 269, 634, 3703, 2746, 539, 9244, 543, 1065, 8215, 519, 31111, 1310, 513, 13888, 4339, 543, 9271, 593, 1312, 5011, 269, 589, 8628, 3703, 2022, 729, 1631, 2813, 693, 645, 13453, 269, 4107, 540, 519, 19453, 1842, 8120, 547, 670, 4157, 1177, 978, 14860, 538, 8738, 2742, 1141, 8474, 729, 11342, 563, 288, 2143, 5619, 585, 606, 3127, 5174, 584, 2742, 16749, 1899, 729, 17298, 538, 476, 6245, 277, 269, 589, 2178, 3196, 609, 519, 5619, 832, 18084, 519, 4793, 330, 2967, 2039, 547, 519, 670, 4157, 1177, 978, 14860, 543, 8678, 621, 609, 513, 2147, 5619, 5428, 538, 5580, 8738, 2742, 269, 1717, 519, 5619, 585, 513, 16749, 1899, 7283, 593, 1957, 1152, 269, 280, 634, 3143, 320, 4144, 3107, 14860, 7283, 851, 540, 519, 3703, 7276, 543, 2663, 2968, 851, 540, 3127, 563, 310, 22736, 593, 544, 28854, 23183, 334, 13305, 6359, 599, 333, 26196, 4155, 269, 630, 19604, 880, 29518, 611, 807, 994, 4002, 476, 1724, 5130, 476, 1001, 273, 649, 22755, 593, 519, 23183, 334, 13305, 6359, 599, 333, 26196, 4155, 610, 2048, 300, 309, 10003, 685, 585, 513, 2110, 3845, 269, 1284, 1101, 18423, 693, 476, 2412, 628, 13304, 282, 782, 13515, 616, 3957, 607, 971, 269, 1284, 1558, 938, 28988, 340, 11188, 1562, 1934, 543, 1631, 593, 649, 1185, 547, 3802, 827, 476, 14056, 5998, 547, 966, 6359, 599, 333, 26196, 269, 634, 1101, 6492, 540, 713, 4155, 729, 2614, 547, 6494, 519, 4617, 13463, 14975, 1394, 1753, 269, 898, 729, 513, 22946, 540, 513, 4155, 267, 609, 2620, 20202, 16095, 10876, 269, 5295, 995, 2185, 8868, 5397, 18114, 1185, 547, 581, 14593, 676, 4439, 671, 9926, 619, 547, 8399, 269, 2755, 6972, 952, 596, 1205, 1055, 519, 4155, 596, 666, 17277, 538, 513, 7583, 3200, 543, 952, 596, 1900, 593, 519, 824, 2427, 621, 729, 538, 12597, 11546, 788, 16095, 269, 1744, 3996, 941, 12758, 538, 267, 6972, 18635, 8593, 6306, 543, 9660, 941, 607, 18660, 607, 789, 1223, 2479, 581, 563, 763, 2048, 289, 584, 2742, 15167, 685, 2066, 519, 2048, 289, 584, 2742, 562, 8403, 685, 1631, 543, 538, 2250, 269, 630, 299, 27232, 14741, 681, 8094, 4002, 519, 2034, 1554, 649, 4682, 1524, 547, 519, 5757, 26998, 18084, 519, 2048, 289, 584, 2742, 562, 8403, 685, 593, 513, 2220, 15781, 8115, 269, 634, 8905, 6619, 267, 2059, 519, 5757, 267, 729, 513, 10508, 547, 3802, 585, 1906, 5998, 267, 8429, 519, 28988, 340, 8498, 540, 31436, 1177, 1794, 1695, 1141, 649, 13820, 539, 519, 2199, 4829, 774, 21532, 630, 25324, 574, 3000, 610, 1744, 16336, 1040, 9061, 532, 519, 3143, 320, 4144, 3107, 593, 513, 7008, 540, 17559, 588, 2830, 13123, 267, 1572, 546, 22844, 976, 267, 649, 6603, 519, 8498, 715, 756, 617, 328, 630, 8072, 7367, 5195, 685, 1070, 1141, 649, 3786, 539, 593, 606, 1930, 2666, 269, 8921, 1554, 649, 1185, 547, 2132, 547, 519, 544, 28854, 631, 309, 4155, 269, 1280, 519, 1985, 1614, 2395, 649, 941, 593, 519, 4155, 267, 22742, 593, 2312, 902, 630, 520, 5111, 476, 4649, 5195, 267, 476, 7830, 5195, 543, 476, 7597, 5195, 264, 676, 519, 2427, 540, 519, 4155, 609, 513, 1216, 2707, 7404, 269, 9540, 602, 3481, 554, 7491, 540, 17137, 2059, 519, 4155, 4421, 7401, 267, 536, 4593, 7057, 543, 930, 31914, 787, 8631, 269, 14066, 3165, 941, 2938, 16304, 538, 1082, 540, 891, 15945, 2139, 585, 9042, 269, 2991, 476, 7830, 5195, 267, 513, 13777, 850, 3801, 547, 554, 3558, 513, 12740, 593, 513, 14903, 8694, 538, 9568, 950, 519, 14903, 3294, 3893, 12758, 543, 1256, 519, 4439, 671, 9926, 518, 1223, 711, 1847, 621, 269, 2201, 519, 11359, 1554, 540, 519, 31939, 267, 649, 26731, 689, 519, 4155, 547, 513, 4190, 13122, 924, 1318, 593, 519, 5757, 5127, 2673, 547, 519, 8498, 590, 747, 617, 328, 998, 799, 649, 15336, 2250, 519, 1985, 1554, 269, 898, 568, 513, 4898, 875, 891, 6552, 14252, 15068, 609, 803, 698, 516, 7727, 543, 538, 5230, 22856, 609, 971, 513, 544, 28854, 4155, 269, 1015, 454, 5804, 590, 747, 617, 328, 267, 16246, 14869, 569, 998, 519, 26570, 267, 649, 941, 1394, 593, 519, 4155, 543, 1394, 547, 16095, 269, 634, 14860, 8118, 909, 607, 649, 683, 1563, 717, 663, 327, 580, 1090, 267, 3957, 1310, 513, 1507, 29417, 540, 8575, 32257, 19413, 8704, 1934, 269, 898, 4667, 5756, 3516, 1079, 610, 1614, 24112, 540, 1585, 3401, 8452, 585, 10380, 269, 3143, 835, 1223, 21028, 519, 18533, 540, 19413, 689, 519, 2603, 563, 763, 1507, 18533, 540, 8575, 32257, 19413, 693, 8498, 1744, 21355, 269, 901, 8498, 568, 1631, 3957, 607, 717, 663, 327, 580, 1090, 269, 630, 19604, 880, 29518, 611, 807, 994, 7661, 1776, 18533, 729, 2095, 333, 538, 609, 1913, 2048, 294, 16905, 10202, 685, 2854, 593, 519, 1394, 267, 799, 666, 1869, 581, 2938, 269, 634, 3312, 2012, 540, 519, 8498, 2048, 306, 3031, 644, 328, 610, 1744, 21355, 8730, 729, 4957, 547, 717, 663, 327, 580, 1090, 269, 1284, 6170, 513, 1554, 693, 717, 663, 327, 580, 1090, 2469, 1472, 519, 1134, 9788, 856, 8498, 543, 4189, 930, 8949, 12725, 6738, 12566, 20625, 543, 10931, 2117, 2033, 563, 2005, 729, 513, 12560, 8498, 543, 609, 7874, 28988, 340, 27142, 269, 589, 3650, 972, 941, 519, 14252, 540, 2048, 3553, 339, 6840, 685, 268, 18310, 529, 19622, 689, 519, 2667, 600, 681, 604, 956, 267, 609, 4408, 899, 10548, 333, 26196, 269, 1358, 6743, 25133, 267, 513, 16990, 9983, 267, 607, 519, 1152, 3346, 609, 3540, 5314, 729, 998, 12150, 29357, 19426, 269, 26361, 519, 1292, 4155, 5722, 5998, 547, 519, 22583, 568, 623, 761, 333, 26196, 267, 513, 1507, 8498, 1634, 585, 922, 5898, 609, 513, 1507, 10720, 563, 763, 2063, 476, 1240, 5998, 4155, 2951, 547, 966, 6359, 599, 333, 26196, 729, 5266, 16990, 269, 1284, 6170, 513, 3781, 693, 966, 6359, 599, 333, 26196, 267, 693, 519, 2667, 600, 681, 604, 956, 2022, 2282, 519, 513, 1009, 8692, 269, 634, 3312, 2012, 540, 713, 8498, 729, 29861, 617, 328, 855, 519, 2012, 729, 4957, 538, 22632, 540, 20727, 269, 2637, 269, 2871, 571, 31843, 779, 5067, 966, 6359, 599, 269, 2201, 22583, 729, 519, 918, 636, 517, 2039, 543, 22236, 519, 4793, 330, 2967, 2039, 267, 543, 3592, 1141, 1312, 891, 9832, 2743, 729, 519, 26396, 978, 3333, 534, 1780, 630, 663, 8445, 264, 630, 29044, 278, 544, 1040, 901, 1780, 22703, 689, 966, 6359, 599, 333, 26196, 267, 3366, 547, 519, 670, 4157, 1177, 978, 14860, 540, 8738, 2742, 1247, 519, 932, 879, 16988, 1780, 3366, 547, 10925, 7776, 538, 519, 22583, 269, 898, 729, 1767, 602, 882, 923, 540, 513, 14418, 23535, 320, 543, 2592, 1185, 1044, 4362, 538, 519, 25610, 540, 966, 12011, 599, 333, 26196, 269, 3143, 835, 1185, 1022, 1702, 540, 621, 1631, 269, 634, 1858, 729, 4505, 1634, 607, 808, 24660, 9539, 520, 340, 269, 1556, 454, 15899, 532, 2757, 2048, 291, 22844, 517, 15167, 685, 2066, 519, 3143, 320, 4144, 3107, 5757, 269, 630, 305, 269, 654, 8643, 994, 32292, 528, 4821, 540, 966, 6359, 599, 333, 26196, 269, 630, 7804, 269, 15089, 752, 13225, 698, 520, 994, 29806, 13979, 547, 932, 879, 16988, 10426, 454, 6546, 3781, 693, 966, 6359, 599, 333, 26196, 649, 15044, 938, 10591, 543, 25579, 1639, 930, 540, 938, 1898, 678, 725, 269, 2290, 1762, 3391, 689, 2667, 600, 681, 604, 956, 729, 21534, 269, 1261, 6785, 519, 8905, 855, 609, 32249, 1648, 646, 2141, 4682, 6619, 693, 2048, 1301, 344, 3432, 685, 6028, 721, 3168, 585, 1864, 2336, 297, 21819, 543, 513, 19716, 454, 32465, 329, 2426, 956, 4268, 865, 14320, 267, 602, 621, 568, 2352, 547, 2285, 606, 19038, 2489, 6609, 269, 12344, 519, 1655, 1259, 568, 547, 5635, 519, 26570, 609, 513, 4190, 4807, 267, 519, 8930, 5346, 5326, 8004, 538, 2407, 1099, 545, 565, 712, 267, 3579, 267, 782, 1005, 267, 10694, 547, 1413, 693, 267, 855, 267, 2899, 14059, 543, 7858, 7007, 609, 267, 2407, 540, 6574, 7399, 540, 8594, 543, 2669, 547, 519, 7938, 776, 269, 901, 1138, 850, 568, 3226, 19038, 1317, 267, 899, 519, 4137, 540, 519, 8930, 5346, 8004, 267, 519, 26570, 568, 2760, 6366, 563, 299, 773, 23133, 29962, 744, 14371, 15030, 269, 6519, 667, 12569, 454, 12148, 547, 519, 1657, 6609, 267, 519, 8905, 6619, 729, 4190, 267, 30405, 543, 5906, 269, 901, 729, 519, 1483, 8631, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21344, 25042, 2433, 20509, 13326, 7154, 2357, 5809, 875, 519, 2319, 786, 1459, 17103, 585, 19670, 1239, 543, 3313, 1018, 740, 9532, 547, 946, 585, 856, 4707, 1239, 563, 6440, 17372, 25300, 454, 6440, 15214, 13305, 5800, 454, 763, 12243, 28497, 966, 28356, 454, 2691, 596, 1711, 513, 2319, 2073, 676, 9949, 2073, 621, 3580, 1711, 835, 2319, 8818, 269, 634, 2319, 8818, 3568, 513, 966, 28356, 4259, 547, 11090, 6808, 593, 606, 8818, 547, 513, 1880, 966, 28356, 1547, 17553, 519, 2319, 8818, 966, 28356, 547, 513, 6825, 966, 28356, 568, 3335, 1152, 2944, 2899, 519, 2319, 2818, 602, 519, 715, 2975, 12243, 568, 2813, 689, 946, 519, 2048, 13700, 6064, 685, 7154, 4586, 5475, 596, 1184, 519, 2319, 1547, 596, 3580, 581, 2111, 547, 1711, 2789, 2319, 17103, 593, 1114, 966, 28356, 779, 563, 23219, 940, 281, 9786, 15565, 602, 596, 2760, 1305, 519, 966, 28356, 585, 606, 8818, 1369, 513, 966, 300, 269, 5502, 1547, 946, 519, 15214, 13305, 6467, 4359, 4781, 2048, 309, 28356, 9517, 685, 547, 5581, 966, 28356, 338, 585, 513, 966, 300, 269, 0, 296, 6557, 711, 513, 24789, 18560, 267, 6862, 798, 594, 2259, 13221, 269, 898, 779, 782, 3478, 1932, 5289, 585, 803, 269, 3733, 7664, 540, 519, 968, 337, 2737, 540, 2713, 5608, 2854, 513, 8536, 1296, 3516, 568, 1360, 1454, 8200, 593, 1250, 1259, 540, 3168, 693, 519, 1158, 269, 1411, 949, 1294, 621, 8335, 543, 3976, 621, 3587, 513, 1114, 7664, 454, 3719, 594, 1265, 513, 2603, 540, 2631, 538, 519, 10752, 540, 15806, 543, 1346, 945, 2259, 853, 334, 6291, 543, 13221, 543, 2015, 2933, 9439, 540, 24789, 269, 2368, 540, 519, 10752, 5734, 803, 3063, 2182, 267, 1866, 594, 2015, 3339, 2713, 3652, 649, 1058, 782, 1246, 269, 901, 5816, 2022, 3568, 930, 540, 519, 3283, 602, 9290, 803, 1134, 543, 602, 594, 2119, 630, 2254, 2141, 6707, 264, 547, 2661, 676, 269, 11524, 949, 723, 741, 1378, 602, 17015, 873, 1732, 563, 763, 4493, 540, 13221, 568, 519, 476, 275, 15626, 18408, 269, 1452, 10752, 2911, 827, 1018, 7092, 568, 267, 1018, 3123, 621, 267, 543, 875, 13613, 568, 519, 1259, 856, 540, 713, 2790, 15972, 269, 898, 568, 849, 519, 1259, 547, 1265, 519, 2619, 547, 21481, 563, 8368, 540, 1543, 454, 268, 476, 272, 269, 22206, 1359, 568, 17149, 267, 855, 596, 616, 519, 835, 945, 666, 2322, 606, 1439, 547, 621, 454, 268, 476, 273, 269, 5131, 3054, 689, 13613, 547, 1995, 1272, 547, 519, 2407, 652, 563, 268, 476, 274, 269, 2913, 1154, 979, 3947, 4708, 543, 5191, 563, 268, 476, 275, 269, 23875, 568, 8628, 563, 268, 476, 276, 269, 14970, 2241, 563, 268, 476, 277, 269, 2171, 1628, 938, 1378, 30813, 563, 268, 476, 278, 269, 18421, 568, 2907, 3501, 454, 268, 476, 279, 269, 2142, 2186, 543, 31799, 563, 268, 476, 280, 269, 1133, 935, 6463, 2648, 6818, 267, 855, 649, 2356, 798, 621, 4636, 563, 268, 30318, 2542, 543, 2959, 454, 272, 269, 22206, 1359, 568, 17149, 267, 855, 596, 616, 519, 835, 945, 666, 2322, 606, 1439, 547, 621, 454, 1607, 568, 2731, 2786, 4464, 543, 24669, 952, 835, 666, 10646, 1063, 1928, 543, 7092, 563, 6097, 547, 13221, 267, 972, 568, 513, 2603, 540, 1928, 538, 1272, 267, 543, 972, 568, 1100, 1259, 547, 2057, 621, 269, 1717, 267, 7092, 568, 1945, 649, 3442, 563, 2252, 596, 616, 29041, 676, 18825, 267, 596, 1205, 1928, 269, 898, 666, 581, 7920, 543, 1659, 995, 269, 898, 666, 849, 581, 607, 3983, 15508, 607, 9308, 269, 1809, 621, 10596, 1107, 952, 596, 1450, 621, 269, 1548, 2501, 1310, 602, 267, 4470, 593, 2436, 596, 616, 538, 10103, 609, 3054, 543, 519, 1158, 267, 568, 7092, 563, 763, 7092, 649, 1102, 12787, 593, 6000, 568, 912, 268, 634, 16203, 2676, 268, 634, 2247, 2676, 268, 634, 556, 7721, 704, 1466, 630, 514, 707, 2247, 13211, 268, 634, 20286, 2676, 268, 634, 22378, 333, 936, 519, 10138, 1315, 1928, 649, 2899, 1185, 563, 16908, 5161, 540, 513, 2898, 3126, 540, 8909, 2833, 269, 12280, 267, 4576, 543, 3976, 1928, 786, 1860, 721, 269, 1403, 649, 1577, 519, 1928, 6414, 267, 621, 3587, 513, 4524, 269, 1656, 621, 568, 649, 945, 3442, 547, 1832, 621, 563, 31738, 281, 1975, 754, 513, 1906, 3764, 3206, 827, 606, 1995, 540, 21440, 610, 1928, 538, 519, 2250, 602, 1869, 19388, 619, 609, 596, 269, 1656, 952, 621, 16853, 547, 596, 267, 621, 779, 513, 4524, 596, 4163, 269, 589, 3364, 596, 666, 1205, 7759, 540, 269, 1403, 596, 1616, 563, 273, 269, 5131, 3054, 689, 13613, 547, 1995, 1272, 547, 519, 2407, 652, 563, 2171, 616, 5532, 547, 7221, 267, 11678, 267, 31449, 267, 1514, 15796, 267, 8369, 267, 13922, 543, 9909, 269, 1656, 649, 899, 547, 561, 5424, 538, 1018, 729, 267, 538, 519, 2250, 563, 296, 1336, 513, 1434, 6609, 540, 519, 13613, 543, 519, 8374, 1472, 713, 538, 519, 4460, 32617, 976, 4930, 269, 594, 1491, 519, 15698, 543, 16196, 2694, 540, 1010, 6644, 593, 713, 1934, 912, 15812, 3081, 281, 2060, 602, 1767, 267, 713, 568, 513, 7168, 1455, 14196, 585, 1004, 945, 616, 6534, 547, 1990, 523, 543, 9456, 6138, 1107, 602, 519, 2856, 540, 968, 684, 3430, 16670, 892, 3884, 1406, 4010, 4052, 610, 1256, 10858, 538, 2413, 1272, 269, 1411, 723, 547, 3314, 602, 513, 2603, 540, 891, 24866, 941, 2919, 5215, 540, 1296, 3516, 950, 972, 941, 2484, 7864, 7569, 543, 10848, 538, 4948, 1272, 269, 1924, 519, 2856, 540, 2469, 543, 9361, 538, 513, 13946, 585, 8370, 1296, 543, 31325, 693, 513, 3774, 7012, 1406, 4010, 4758, 909, 513, 2898, 2603, 563, 763, 8912, 23578, 1448, 585, 3025, 568, 267, 968, 2252, 594, 6557, 9277, 547, 581, 7923, 547, 4986, 543, 7287, 4986, 267, 875, 519, 22946, 798, 594, 1205, 4376, 2944, 9495, 18774, 267, 875, 1705, 24729, 548, 2328, 2789, 476, 4968, 22240, 2835, 952, 646, 729, 4625, 796, 3430, 3737, 547, 519, 2104, 286, 14348, 333, 1406, 646, 1175, 588, 732, 543, 12837, 693, 519, 1826, 23116, 888, 763, 1966, 2501, 609, 519, 7778, 540, 13613, 269, 3509, 1004, 1491, 621, 607, 16462, 610, 964, 3931, 4376, 269, 901, 568, 1141, 596, 1205, 1004, 2713, 538, 1209, 525, 267, 4758, 909, 741, 22590, 267, 3001, 547, 17230, 543, 1018, 2254, 269, 898, 779, 849, 519, 1292, 2601, 594, 4076, 2760, 5433, 6899, 538, 1022, 5289, 2146, 594, 4076, 1336, 267, 1317, 594, 1589, 789, 3479, 519, 1482, 28067, 267, 1175, 538, 519, 6587, 4287, 563, 763, 6952, 568, 602, 8362, 1373, 796, 3430, 3737, 547, 1919, 568, 1869, 1373, 7923, 547, 1945, 269, 1411, 2461, 7923, 547, 1373, 796, 3430, 3737, 269, 2920, 1947, 964, 3931, 547, 581, 7287, 1652, 568, 1869, 513, 7287, 269, 2913, 1154, 979, 540, 513, 2219, 568, 1869, 513, 2219, 269, 5080, 19810, 532, 547, 513, 4743, 568, 1869, 513, 4743, 269, 594, 1589, 1034, 630, 8243, 691, 264, 1004, 945, 616, 5828, 1055, 676, 8109, 13898, 693, 1101, 16145, 16022, 569, 5431, 713, 269, 1656, 1318, 569, 865, 7498, 3528, 602, 4214, 540, 7287, 543, 13613, 267, 596, 2461, 3458, 14954, 952, 596, 798, 543, 3458, 14954, 952, 596, 1810, 1406, 563, 763, 6952, 568, 602, 8362, 1373, 796, 3430, 3737, 547, 3388, 568, 1869, 1373, 7923, 547, 1945, 269, 1411, 2461, 7923, 547, 1373, 796, 3430, 3737, 563, 2005, 779, 711, 827, 3257, 610, 711, 3257, 269, 898, 779, 782, 827, 875, 1454, 540, 707, 2631, 540, 8682, 267, 707, 3961, 568, 7923, 547, 519, 6364, 540, 1018, 596, 798, 610, 1810, 1406, 798, 563, 2108, 18455, 1459, 892, 568, 711, 24937, 519, 2250, 610, 519, 2104, 269, 2334, 779, 7543, 2965, 267, 1317, 519, 957, 540, 3206, 827, 513, 2250, 610, 513, 2104, 568, 2965, 2921, 1747, 538, 519, 1459, 269, 898, 779, 7543, 547, 711, 581, 1459, 269, 1548, 2242, 568, 875, 596, 2697, 3054, 269, 2107, 2864, 267, 875, 596, 2697, 707, 8682, 563, 2005, 779, 827, 11097, 2287, 707, 5133, 267, 9750, 1018, 596, 2697, 547, 581, 513, 1761, 851, 540, 1411, 269, 20876, 602, 596, 723, 971, 2370, 1852, 543, 2370, 1702, 540, 267, 1134, 267, 4376, 538, 519, 1158, 267, 602, 596, 1522, 607, 1134, 1577, 979, 543, 581, 18803, 827, 621, 269, 5620, 707, 4876, 3853, 267, 4555, 543, 2093, 267, 707, 13922, 543, 9909, 267, 855, 798, 711, 8936, 519, 8682, 547, 621, 538, 971, 513, 1259, 602, 596, 786, 7985, 952, 596, 798, 711, 3035, 873, 269, 5457, 1018, 779, 5949, 547, 596, 543, 2972, 707, 8823, 267, 855, 1810, 1406, 3490, 707, 3961, 593, 621, 563, 11917, 16227, 267, 713, 568, 782, 4443, 1767, 982, 2944, 563, 763, 1259, 594, 2491, 621, 568, 9301, 602, 621, 779, 782, 1175, 513, 3014, 602, 649, 2461, 4730, 267, 519, 3014, 568, 1572, 1272, 269, 1656, 594, 798, 711, 1611, 538, 519, 1870, 267, 18214, 7308, 2000, 9554, 21658, 267, 855, 538, 519, 1249, 602, 6038, 3388, 602, 649, 616, 543, 798, 568, 1175, 513, 17184, 16799, 1063, 9583, 5094, 19183, 540, 9637, 269, 4107, 1004, 2760, 8275, 621, 779, 513, 3014, 269, 1306, 513, 1267, 267, 789, 616, 10437, 547, 519, 552, 321, 2125, 543, 8928, 540, 1018, 779, 5129, 563, 3719, 972, 616, 1004, 945, 7444, 8275, 602, 621, 779, 1175, 513, 3014, 269, 2368, 540, 891, 1004, 1265, 856, 676, 32222, 547, 1404, 269, 2368, 1265, 856, 676, 3274, 16069, 543, 9878, 3007, 269, 2368, 1265, 856, 676, 3592, 1373, 6569, 689, 519, 3014, 269, 2368, 8275, 621, 676, 8384, 1866, 1373, 6569, 1354, 741, 4064, 269, 1809, 538, 519, 1439, 267, 585, 8726, 2601, 267, 789, 8275, 621, 779, 1175, 513, 3014, 269, 1656, 1317, 621, 779, 1175, 513, 3014, 267, 789, 723, 1100, 2601, 547, 581, 14126, 610, 12922, 267, 2479, 267, 1317, 621, 779, 1175, 513, 3014, 269, 1656, 1317, 621, 779, 1175, 513, 3014, 267, 789, 723, 1100, 2601, 547, 581, 14126, 610, 12922, 267, 2479, 267, 1317, 621, 779, 1175, 513, 3014, 269, 1656, 945, 1197, 17993, 610, 19380, 1281, 711, 2339, 1317, 621, 779, 1175, 2469, 547, 1376, 782, 936, 1586, 269, 630, 6097, 547, 4460, 32617, 517, 8094, 14187, 8823, 543, 1434, 2833, 616, 1945, 649, 786, 3142, 609, 721, 2417, 269, 1809, 519, 4090, 596, 1376, 547, 723, 6788, 543, 2119, 547, 6445, 513, 20704, 3330, 596, 609, 519, 1843, 596, 616, 7923, 547, 267, 596, 1831, 811, 7925, 543, 3976, 1450, 3054, 547, 581, 10413, 269, 1656, 519, 4090, 596, 1413, 585, 4276, 547, 6445, 519, 20704, 267, 519, 7092, 5956, 563, 31819, 538, 1272, 568, 829, 27720, 269, 4634, 938, 1378, 942, 1934, 568, 3908, 267, 865, 649, 1058, 711, 6108, 621, 593, 2713, 609, 519, 11411, 540, 13613, 563, 19522, 281, 30052, 4460, 32617, 517, 593, 713, 630, 663, 824, 3584, 994, 274, 269, 2913, 1154, 979, 3947, 4708, 543, 5191, 563, 2171, 2661, 538, 519, 2250, 543, 4250, 585, 519, 2104, 269, 634, 1079, 5615, 616, 865, 21739, 4636, 543, 1118, 1272, 865, 1454, 811, 7294, 982, 2556, 563, 288, 811, 1697, 7778, 1131, 581, 602, 621, 4016, 711, 547, 1175, 1945, 602, 596, 1616, 610, 7287, 267, 855, 2864, 547, 1919, 596, 616, 12922, 547, 6336, 269, 769, 1272, 267, 3388, 568, 4503, 269, 18421, 269, 2311, 930, 1448, 267, 3388, 4422, 2476, 267, 543, 4061, 547, 723, 4376, 693, 782, 267, 649, 1590, 581, 8348, 547, 13918, 602, 2530, 269, 1411, 917, 602, 6031, 267, 968, 2791, 666, 711, 5963, 723, 1945, 2394, 596, 2461, 8348, 547, 6336, 621, 9495, 898, 779, 899, 602, 563, 763, 3070, 568, 2241, 543, 621, 6013, 538, 519, 1985, 540, 519, 1990, 523, 3741, 602, 13351, 803, 281, 1577, 979, 540, 519, 2250, 543, 519, 2104, 1317, 789, 798, 711, 2339, 269, 1358, 666, 711, 1611, 4376, 1317, 519, 2250, 568, 7543, 547, 798, 4376, 827, 543, 519, 2104, 649, 917, 4986, 827, 269, 1656, 1655, 540, 782, 281, 649, 2015, 1312, 519, 2250, 543, 519, 2104, 538, 519, 1459, 269, 901, 1797, 602, 649, 6108, 513, 2898, 2603, 540, 1648, 593, 1919, 649, 666, 711, 798, 4376, 827, 269, 2986, 1576, 267, 621, 779, 693, 519, 13258, 540, 281, 596, 27378, 7157, 281, 7316, 649, 616, 1631, 563, 5472, 649, 723, 568, 713, 4090, 267, 543, 676, 711, 1373, 3222, 540, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6415, 2386, 602, 594, 786, 581, 1085, 731, 950, 594, 1294, 835, 563, 296, 2648, 8979, 657, 789, 616, 865, 5622, 3579, 454, 704, 2739, 1344, 585, 1250, 18962, 1788, 454, 1607, 1507, 1899, 540, 9623, 814, 6026, 803, 513, 2603, 540, 1007, 1344, 827, 22747, 602, 594, 4769, 1405, 917, 256, 589, 1360, 1134, 2322, 1927, 11157, 8696, 11353, 540, 9623, 269, 11289, 596, 585, 1818, 621, 563, 5445, 616, 1360, 4277, 543, 3579, 454, 296, 2648, 18962, 269, 594, 2731, 1616, 547, 2263, 835, 563, 25802, 1434, 585, 1250, 1362, 454, 12552, 713, 568, 2731, 1434, 1317, 1775, 666, 946, 891, 5013, 585, 1250, 18962, 2257, 1788, 256, 8729, 256, 2336, 10472, 568, 513, 1434, 585, 3214, 602, 899, 22747, 454, 14157, 4754, 3996, 616, 15813, 269, 1656, 594, 1224, 827, 713, 16411, 538, 12868, 630, 527, 1522, 723, 1044, 519, 835, 689, 918, 21531, 520, 879, 264, 602, 729, 865, 10978, 602, 621, 530, 5803, 1004, 909, 538, 5375, 5245, 2336, 854, 13561, 585, 1250, 1053, 454, 296, 2648, 22747, 30314, 30314, 30314, 8627, 2336, 763, 1249, 827, 519, 2262, 18962, 689, 513, 4936, 2262, 834, 309, 592, 4754, 257, 519, 4936, 5601, 540, 3595, 568, 2965, 3579, 563, 296, 700, 10976, 292, 966, 5357, 290, 3198, 302, 2464, 630, 21955, 602, 519, 1249, 22747, 616, 5906, 994, 296, 2648, 519, 5013, 827, 8979, 657, 269, 1705, 596, 917, 602, 972, 781, 513, 18962, 602, 814, 4544, 26428, 454, 296, 2648, 713, 2340, 507, 353, 20804, 454, 309, 5357, 290, 3198, 5308, 25758, 2910, 5357, 2336, 1492, 22747, 814, 6266, 540, 23419, 454, 763, 8979, 657, 568, 3579, 1317, 540, 519, 23419, 563, 328, 1616, 547, 1294, 513, 18962, 21074, 1862, 527, 3513, 581, 1659, 16341, 30314, 26008, 2336, 1607, 5280, 803, 513, 2603, 585, 1250, 1153, 1788, 2336, 8489, 568, 22747, 454, 2005, 781, 513, 2731, 1434, 3896, 543, 2337, 1250, 7015, 1451, 811, 563, 1607, 568, 2731, 1390, 543, 568, 513, 1390, 543, 1187, 3896, 547, 946, 269, 898, 814, 2603, 781, 540, 9623, 649, 666, 1451, 689, 543, 593, 513, 4336, 689, 476, 272, 910, 476, 1015, 267, 594, 2285, 713, 513, 476, 280, 286, 5221, 972, 568, 2141, 942, 585, 6454, 256, 2433, 994, 328, 2648, 8979, 657, 2336, 14179, 4754, 657, 616, 1659, 16341, 454, 296, 2731, 2648, 1565, 827, 519, 3047, 543, 713, 3896, 814, 2731, 5280, 803, 454, 10472, 3896, 568, 1360, 1434, 585, 8979, 657, 454, 1607, 3896, 568, 5863, 621, 814, 5280, 803, 609, 1250, 6780, 269, 527, 568, 519, 1655, 3896, 594, 786, 2479, 2097, 2066, 563, 328, 798, 711, 899, 8979, 657, 561, 565, 454, 301, 823, 9137, 256, 901, 2731, 5280, 856, 950, 594, 1705, 1250, 6780, 256, 12866, 10060, 26008, 888, 32452, 713, 729, 865, 3579, 594, 4121, 1007, 1919, 689, 2542, 713, 269, 594, 2907, 5700, 602, 8575, 10044, 700, 10394, 16127, 814, 519, 32399, 18962, 538, 519, 3618, 1317, 621, 2501, 782, 519, 1259, 689, 519, 5377, 540, 519, 3618, 563, 6062, 519, 3381, 1705, 711, 960, 855, 586, 599, 865, 281, 2567, 5148, 994, 600, 5074, 2731, 3730, 2336, 322, 656, 7227, 11489, 513, 18962, 1011, 3941, 476, 2336, 12552, 2817, 22127, 8866, 256, 594, 729, 2111, 547, 9096, 1250, 1867, 593, 8979, 657, 1317, 540, 707, 1390, 5013, 256, 8729, 256, 2999, 274, 454, 3383, 3579, 1344, 454, 299, 6072, 26706, 616, 3579, 2336, 7069, 4116, 786, 2648, 713, 454, 3412, 3257, 513, 1788, 827, 22747, 693, 1153, 543, 713, 729, 14298, 302, 302, 5363, 269, 8729, 513, 2603, 2336, 6062, 594, 1589, 891, 5013, 616, 936, 3603, 594, 544, 476, 280, 543, 594, 917, 811, 454, 328, 729, 798, 713, 585, 1153, 543, 621, 5363, 3579, 454, 322, 944, 713, 568, 15813, 454, 4322, 5013, 616, 865, 3579, 827, 8979, 657, 454, 10472, 729, 3579, 594, 2877, 621, 585, 513, 1153, 1788, 256, 8729, 30314, 2336, 21841, 15813, 256, 3231, 2740, 513, 9522, 267, 594, 700, 10976, 292, 966, 5357, 290, 3198, 302, 2464, 2336, 1607, 568, 15813, 2336, 1492, 22747, 616, 865, 3579, 454, 299, 565, 865, 5363, 585, 1250, 1788, 454, 328, 993, 2875, 538, 3119, 1153, 543, 938, 4116, 2366, 721, 1753, 609, 606, 1557, 547, 2328, 827, 22747, 1352, 1767, 649, 1058, 979, 593, 1899, 543, 1413, 909, 7270, 585, 708, 4146, 593, 519, 22747, 543, 1775, 3357, 1035, 549, 657, 713, 3896, 1775, 4945, 539, 593, 621, 543, 1336, 8748, 708, 4146, 9684, 596, 865, 1454, 454, 14179, 4754, 3996, 616, 519, 3579, 652, 2067, 9568, 454, 1607, 729, 15813, 585, 1250, 476, 276, 628, 3446, 1362, 454, 12552, 594, 4121, 513, 2603, 538, 519, 1153, 454, 326, 1161, 6266, 540, 1344, 855, 621, 1281, 842, 2626, 1250, 2055, 454, 290, 944, 865, 3579, 2336, 328, 1413, 530, 2273, 454, 7069, 3158, 4718, 519, 18962, 538, 16127, 2063, 3018, 563, 6865, 294, 256, 519, 607, 1127, 1413, 17559, 543, 4410, 588, 927, 839, 11849, 5176, 6603, 476, 1691, 5195, 829, 476, 1789, 7643, 454, 19447, 6865, 256, 19447, 302, 21398, 302, 267, 21398, 302, 267, 21398, 6865, 2336, 10472, 568, 3579, 454, 13233, 22127, 568, 1390, 891, 18962, 5013, 948, 9338, 5588, 269, 594, 1589, 922, 11555, 3201, 14877, 589, 16703, 26041, 543, 922, 513, 3896, 602, 338, 744, 7473, 5508, 24199, 20796, 17162, 563, 1998, 4754, 657, 678, 1496, 16942, 6870, 316, 287, 314, 16942, 6870, 6012, 16942, 6870, 316, 258, 259, 260, 317, 261, 260, 260, 265, 261, 22677, 265, 8203, 258, 8627, 26008, 11631, 286, 888, 8310, 1491, 2962, 454, 10472, 568, 513, 1434, 813, 585, 803, 7064, 585, 1818, 621, 454, 6395, 645, 6865, 289, 590, 2177, 30314, 2336, 13133, 1399, 3579, 16921, 454, 516, 958, 3579, 18962, 454, 1607, 568, 1659, 16341, 454, 9767, 798, 523, 513, 1390, 2816, 596, 5280, 803, 1780, 1250, 1449, 454, 7474, 568, 865, 3579, 454, 3412, 1603, 827, 18962, 269, 26439, 334, 616, 1360, 15813, 454, 7474, 568, 865, 865, 865, 865, 3983, 1775, 1705, 660, 1451, 513, 3364, 1630, 334, 910, 13090, 8894, 7474, 568, 2731, 3983, 454, 6062, 543, 3579, 454, 25802, 13181, 543, 3579, 454, 28205, 1747, 7725, 454, 296, 1589, 621, 568, 865, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 334, 3579, 454, 7224, 269, 1175, 1100, 269, 1946, 1131, 579, 1256, 286, 4666, 269, 14298, 4666, 563, 308, 838, 3881, 544, 339, 5738, 12320, 3780, 4636, 454, 810, 3579, 1775, 2648, 621, 454, 290, 944, 713, 5280, 803, 538, 1250, 2257, 1362, 454, 1177, 13135, 945, 320, 18962, 16741, 454, 2005, 729, 865, 5363, 585, 1250, 1867, 454, 10472, 568, 1659, 16341, 971, 3579, 2101, 26706, 1775, 993, 16802, 532, 530, 8811, 2300, 527, 618, 2462, 5013, 827, 22747, 865, 3579, 454, 342, 578, 5863, 22747, 688, 31918, 3357, 547, 1272, 971, 5863, 2101, 26706, 454, 14157, 4754, 334, 729, 1500, 689, 519, 2666, 888, 28205, 18962, 5013, 616, 23292, 2336, 3383, 865, 865, 15346, 454, 19447, 302, 302, 302, 302, 302, 302, 302, 302, 302, 302, 6865, 256, 1261, 515, 561, 565, 269, 6902, 268, 994, 290, 944, 5013, 789, 2731, 5280, 803, 693, 1153, 454, 301, 823, 2816, 609, 519, 3381, 454, 25802, 1434, 543, 4277, 454, 290, 19851, 6865, 22003, 292, 22400, 20724, 2969, 2752, 454, 5415, 899, 2168, 11585, 563, 12709, 1772, 6153, 454, 288, 342, 13135, 9954, 827, 519, 1216, 4783, 2336, 301, 850, 5757, 5013, 454, 1428, 9735, 22986, 5013, 2336, 1805, 4450, 540, 519, 3047, 2336, 14294, 909, 547, 938, 20394, 454, 7476, 10575, 14823, 3377, 267, 12600, 3091, 267, 11121, 2984, 543, 2238, 547, 948, 596, 543, 707, 1920, 2263, 543, 1451, 9447, 2786, 547, 707, 28600, 563, 2791, 786, 4309, 938, 5177, 20394, 269, 7827, 3148, 454, 20062, 16730, 11298, 9358, 700, 25893, 888, 4596, 7419, 15045, 312, 2608, 5245, 8581, 1715, 10215, 2136, 8003, 4033, 454, 2791, 2811, 782, 9896, 909, 256, 7982, 547, 20478, 3135, 454, 13911, 8726, 596, 1616, 547, 3406, 454, 2791, 2461, 6028, 28571, 613, 758, 1749, 2593, 547, 3643, 1776, 3896, 2336, 16485, 513, 2385, 610, 27369, 547, 2638, 621, 856, 1101, 543, 3314, 547, 3251, 2922, 2228, 563, 2791, 2811, 6028, 938, 3214, 262, 3817, 547, 3643, 513, 2985, 585, 6738, 13522, 2336, 6826, 2386, 547, 2638, 952, 707, 2385, 610, 27369, 568, 15502, 609, 713, 1101, 563, 268, 12140, 15682, 454, 268, 8249, 22868, 12140, 15682, 5240, 9612, 454, 14157, 4754, 3996, 910, 23794, 273, 910, 12020, 11137, 454, 21848, 2039, 281, 476, 278, 268, 1556, 454, 4910, 1830, 1826, 281, 5149, 540, 960, 454, 296, 4312, 5249, 538, 3119, 3450, 585, 936, 476, 1015, 1296, 543, 2027, 1047, 538, 2870, 1187, 543, 2502, 3872, 2200, 267, 3226, 585, 17323, 543, 3778, 563, 1789, 4989, 476, 1708, 272, 454, 268, 9523, 998, 4757, 454, 268, 9523, 998, 1000, 7867, 454, 268, 9523, 998, 5532, 514, 454, 268, 9523, 998, 3068, 1504, 454, 268, 9523, 998, 533, 15517, 454, 1607, 568, 519, 1863, 4058, 7650, 585, 26439, 3996, 1547, 589, 6863, 2985, 543, 1888, 2140, 2985, 616, 849, 3769, 563, 763, 1770, 568, 2966, 585, 23794, 273, 1053, 543, 2882, 5722, 4628, 13807, 10165, 4245, 2347, 609, 21630, 2238, 543, 3211, 563, 5472, 519, 2200, 4330, 538, 713, 1770, 1544, 616, 2139, 593, 570, 2464, 267, 2901, 607, 1367, 4245, 610, 607, 513, 22753, 1547, 16497, 1331, 912, 299, 272, 1107, 4197, 519, 2497, 540, 519, 3047, 700, 273, 1107, 15766, 908, 519, 2497, 540, 513, 18962, 700, 274, 1107, 16511, 908, 519, 1158, 779, 4583, 22747, 700, 275, 1107, 15766, 908, 519, 2947, 14686, 2934, 540, 513, 15027, 20349, 700, 276, 1107, 4197, 29684, 10824, 700, 277, 1107, 10289, 519, 2360, 540, 15027, 26706, 593, 3933, 1206, 518, 7806, 700, 278, 1107, 4208, 798, 1004, 2661, 2282, 22747, 888, 288, 1863, 11356, 1867, 10959, 568, 849, 3769, 538, 713, 1770, 563, 2252, 596, 899, 713, 4199, 267, 649, 1131, 5660, 513, 2689, 256, 1284, 786, 25747, 6494, 596, 513, 1863, 4199, 538, 2132, 585, 513, 2689, 610, 3730, 10372, 11721, 3975, 3724, 269, 13555, 721, 693, 1496, 16942, 6870, 316, 4586, 2690, 811, 17323, 2200, 267, 2638, 856, 8940, 269, 974, 778, 527, 3453, 16691, 16896, 4586, 24478, 633, 12780, 834, 5591, 32056, 643, 2510, 4840, 7476, 713, 4199, 607, 851, 540, 513, 22753, 543, 4688, 909, 547, 476, 6321, 14999, 288, 22753, 568, 513, 10189, 540, 2200, 19882, 1927, 547, 4001, 513, 1880, 1888, 267, 610, 513, 3126, 540, 4245, 267, 538, 835, 1747, 563, 14157, 4754, 3996, 910, 23794, 273, 454, 1262, 14157, 4754, 3996, 1262, 568, 606, 3078, 17323, 1770, 2966, 585, 1053, 538, 23794, 273, 269, 634, 4058, 7650, 267, 1888, 2140, 2985, 543, 6863, 2985, 666, 581, 22434, 585, 1863, 1496, 1877, 28488, 10059, 2517, 4178, 269, 5052, 2593, 270, 974, 2286, 9113, 1830, 270, 14179, 4754, 3996, 268, 802, 273, 13807, 8911, 27492, 1613, 268, 13199, 279, 1321, 3445, 1040, 16497, 1331, 281, 2878, 299, 272, 1262, 1107, 4197, 519, 2497, 540, 519, 3047, 2878, 299, 273, 1262, 1107, 15766, 908, 519, 2497, 540, 513, 18962, 630, 293, 12767, 264, 2878, 299, 274, 1262, 1107, 16511, 908, 519, 1158, 779, 4583, 22747, 2878, 299, 275, 1262, 1107, 15766, 908, 519, 2947, 14686, 2934, 540, 513, 15027, 20349, 2878, 299, 276, 1262, 1107, 4197, 29684, 10824, 2878, 299, 277, 1262, 1107, 10289, 519, 2360, 540, 15027, 26706, 593, 3933, 1206, 518, 7806, 2878, 299, 278, 1262, 1107, 4208, 798, 1004, 2661, 2282, 22747, 286, 3962, 3992, 2882, 513, 6881, 543, 21630, 2238, 270, 4103, 19298, 269, 589, 17676, 1496, 2908, 4944, 1653, 1867, 10959, 28488, 10059, 2517, 4178, 269, 5052, 2593, 270, 974, 2286, 9113, 1830, 270, 2908, 4944, 1653, 3146, 1636, 2389, 6374, 622, 268, 14338, 27840, 11011, 264, 568, 849, 3769, 538, 713, 1770, 269, 1403, 596, 899, 713, 4199, 267, 649, 1131, 5660, 513, 2689, 256, 1284, 786, 25747, 6494, 596, 513, 1863, 4199, 538, 2132, 585, 513, 2689, 610, 3730, 10372, 11721, 3975, 3724, 269, 13555, 721, 693, 1496, 16942, 6870, 316, 1280, 811, 17323, 2200, 267, 2638, 856, 8940, 269, 974, 778, 527, 3453, 16691, 16896, 563, 7312, 12773, 568, 2838, 547, 2992, 707, 8788, 563, 2005, 781, 1434, 547, 4734, 930, 5955, 563, 306, 15036, 4682, 4636, 267, 5225, 2119, 1586, 2663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6052, 267, 936, 15823, 2600, 540, 6472, 14475, 538, 476, 1001, 279, 941, 9280, 609, 717, 14888, 269, 5221, 717, 14888, 13333, 2047, 538, 519, 13674, 12068, 267, 621, 568, 16271, 547, 5393, 1164, 12503, 543, 1164, 5210, 910, 782, 540, 799, 1118, 519, 7630, 528, 811, 11630, 547, 12526, 543, 22638, 5821, 563, 13295, 267, 717, 14888, 2029, 814, 2799, 4492, 7630, 528, 10682, 3928, 1312, 693, 519, 2872, 1377, 267, 607, 1134, 607, 1851, 18960, 6472, 269, 634, 4999, 540, 606, 4587, 2551, 540, 6472, 543, 811, 6472, 7680, 4492, 7630, 528, 5821, 4505, 538, 741, 1272, 4783, 1813, 547, 519, 2470, 540, 717, 14888, 2029, 814, 3366, 4492, 7630, 528, 10682, 3928, 547, 581, 2362, 982, 2479, 267, 17259, 689, 476, 271, 269, 5952, 260, 538, 476, 1001, 278, 547, 476, 272, 269, 2764, 260, 538, 476, 1708, 271, 267, 606, 2333, 540, 476, 2004, 18336, 4415, 7630, 528, 5821, 3928, 593, 519, 4473, 267, 26838, 814, 596, 4988, 607, 519, 2344, 6205, 538, 3246, 476, 7761, 14167, 1121, 534, 3011, 3293, 717, 14888, 851, 2338, 8720, 936, 476, 275, 267, 7785, 6174, 3156, 269, 0, 1103, 1010, 4663, 540, 715, 7563, 288, 593, 13723, 267, 20727, 8932, 11445, 6829, 6161, 602, 519, 2799, 1480, 2238, 2282, 519, 31436, 528, 784, 19660, 9197, 831, 729, 1439, 836, 1359, 519, 7320, 5117, 563, 14881, 6557, 5143, 972, 616, 811, 982, 476, 1911, 29009, 2950, 2713, 1934, 267, 1958, 549, 2286, 519, 2244, 1247, 1866, 1869, 21737, 741, 13184, 282, 649, 991, 547, 3715, 519, 4890, 1297, 540, 1004, 543, 7320, 1472, 713, 1858, 2223, 646, 1767, 267, 19280, 10203, 16776, 581, 13684, 593, 13184, 563, 3891, 1767, 519, 11036, 1131, 711, 1152, 2061, 519, 661, 12915, 24090, 540, 519, 2622, 689, 14486, 267, 855, 849, 948, 519, 2229, 779, 3646, 538, 519, 11865, 540, 1514, 2533, 538, 519, 3148, 563, 2108, 290, 4490, 21737, 538, 713, 1858, 568, 17672, 547, 519, 6228, 540, 519, 28188, 2223, 646, 13657, 539, 563, 14722, 723, 14578, 19230, 1996, 519, 3395, 1480, 2551, 267, 21737, 2604, 267, 3262, 540, 12362, 2249, 543, 1093, 2286, 1369, 519, 5726, 1858, 267, 6031, 519, 2238, 941, 3808, 547, 530, 31441, 856, 519, 15805, 16007, 538, 519, 2282, 2104, 563, 32546, 538, 7320, 2359, 723, 849, 6659, 6161, 936, 519, 14897, 766, 540, 3552, 581, 6814, 538, 519, 2197, 19962, 547, 31797, 540, 519, 3662, 23725, 832, 563, 763, 1297, 540, 3552, 581, 6814, 538, 519, 2197, 6763, 693, 476, 272, 269, 276, 2929, 267, 2687, 547, 25157, 13812, 3194, 4659, 630, 14011, 310, 296, 6020, 1916, 763, 31436, 528, 784, 19660, 11094, 9351, 21269, 5318, 20073, 525, 540, 1164, 1633, 23617, 267, 5260, 13860, 267, 5260, 13860, 3574, 4133, 543, 7733, 563, 15307, 21521, 538, 476, 4198, 280, 607, 513, 2789, 2244, 946, 1858, 267, 609, 7320, 17706, 12371, 609, 10859, 5991, 558, 19631, 8575, 553, 2967, 29009, 1235, 8026, 2757, 13184, 21737, 267, 715, 7563, 288, 2882, 519, 519, 1158, 779, 4102, 20498, 1608, 1457, 320, 267, 519, 31436, 528, 784, 19660, 9197, 831, 0, 289, 1675, 1751, 10495, 9024, 328, 2510, 281, 6651, 585, 17423, 631, 5474, 454, 763, 1699, 1867, 568, 513, 5758, 540, 519, 14911, 3561, 968, 20007, 673, 1867, 593, 4540, 16097, 1299, 2645, 585, 9265, 14573, 5608, 849, 2139, 593, 519, 2290, 14136, 8416, 11310, 16735, 269, 2755, 519, 14911, 2930, 1867, 568, 5227, 585, 513, 2930, 5304, 267, 552, 3052, 269, 1505, 9367, 267, 519, 1699, 3561, 568, 5497, 585, 10324, 3375, 15670, 563, 1607, 1867, 814, 6394, 9265, 4879, 2409, 602, 616, 1373, 1031, 676, 519, 4759, 3906, 3238, 538, 519, 11759, 19541, 593, 21954, 1853, 626, 344, 540, 519, 2290, 14136, 8416, 593, 12655, 5253, 7010, 20136, 1867, 6257, 543, 19776, 4162, 540, 1114, 4879, 2409, 543, 19776, 2409, 2687, 547, 513, 1297, 540, 6662, 7355, 543, 10305, 269, 901, 1058, 5512, 3755, 540, 2409, 547, 1732, 1174, 799, 9265, 4879, 1505, 568, 1655, 14018, 585, 741, 3498, 563, 1320, 320, 1292, 1888, 540, 519, 10554, 941, 4264, 2472, 543, 2533, 538, 9764, 4346, 267, 799, 616, 519, 1883, 851, 540, 2483, 11754, 7675, 519, 17136, 540, 11906, 338, 540, 19634, 333, 538, 22997, 281, 12694, 543, 7840, 585, 2978, 2454, 7341, 454, 31367, 338, 1683, 513, 3099, 540, 1808, 3252, 538, 3167, 543, 5907, 2472, 610, 538, 741, 5663, 1184, 2483, 20458, 9243, 12269, 286, 1548, 649, 991, 547, 3035, 2916, 9243, 267, 3810, 1648, 3608, 543, 4264, 1239, 18013, 538, 2342, 676, 476, 10711, 271, 454, 763, 3864, 8189, 814, 1305, 513, 3804, 540, 8236, 2916, 9243, 267, 3810, 1648, 3608, 543, 4264, 1239, 18013, 676, 1862, 0, 1607, 8534, 4303, 267, 1489, 10509, 3292, 267, 2146, 12621, 454, 299, 1987, 4303, 729, 8547, 538, 519, 476, 6642, 271, 781, 547, 8661, 519, 1514, 543, 2804, 10781, 540, 1977, 4600, 563, 9213, 267, 3401, 689, 1312, 6105, 3858, 602, 1346, 2043, 945, 1683, 5370, 543, 2533, 1683, 1871, 543, 17330, 1489, 563, 2690, 1346, 945, 960, 609, 741, 3946, 1107, 2901, 538, 513, 12051, 610, 593, 21935, 1107, 11543, 7463, 1983, 568, 1883, 269, 1656, 4123, 543, 25367, 3292, 1683, 519, 2069, 602, 513, 9952, 28346, 337, 2115, 547, 1205, 741, 1101, 29095, 1222, 610, 2816, 563, 763, 24068, 10029, 5206, 593, 5147, 476, 2537, 267, 476, 1708, 272, 281, 834, 11947, 7779, 4876, 543, 2930, 2069, 3631, 723, 1713, 2318, 2360, 593, 1164, 1153, 22692, 267, 2333, 2852, 27350, 267, 543, 2087, 13848, 269, 634, 5518, 779, 1544, 1131, 1683, 811, 1053, 609, 1569, 547, 1164, 7779, 4876, 543, 2930, 2069, 3292, 602, 4228, 1569, 547, 2780, 2257, 282, 1921, 26173, 1053, 547, 11678, 538, 13241, 543, 538, 538, 24683, 663, 267, 1164, 3766, 9512, 2872, 9922, 282, 602, 1331, 12352, 609, 5238, 540, 2362, 2069, 267, 12820, 267, 543, 824, 8639, 282, 543, 602, 1450, 1053, 547, 4497, 538, 2298, 960, 2861, 1565, 3255, 267, 7118, 513, 19609, 267, 543, 5924, 7118, 2852, 5491, 4799, 2690, 5756, 267, 3609, 15670, 723, 6444, 519, 2956, 540, 1346, 538, 1447, 31032, 3766, 4594, 5387, 6009, 269, 5518, 17394, 630, 291, 264, 7150, 538, 5239, 476, 3422, 271, 267, 834, 2026, 519, 5578, 540, 938, 4600, 4679, 267, 519, 3977, 799, 789, 3565, 547, 519, 4346, 786, 849, 2333, 269, 15642, 1049, 2069, 6770, 1390, 4679, 538, 519, 5578, 540, 4600, 4799, 15987, 16166, 814, 4957, 936, 519, 1296, 267, 835, 1249, 568, 1978, 281, 1082, 6009, 799, 941, 5892, 9286, 607, 1412, 19990, 27897, 262, 630, 549, 956, 971, 607, 3167, 1014, 267, 726, 3784, 267, 543, 27637, 264, 2628, 9425, 1134, 269, 1656, 891, 11678, 666, 581, 5833, 1510, 11504, 519, 4182, 781, 1034, 7199, 9945, 563, 13528, 518, 14199, 540, 8534, 7917, 25415, 5206, 538, 6428, 517, 267, 834, 25567, 320, 3884, 1406, 18997, 519, 23390, 649, 991, 269, 1306, 938, 17050, 5051, 1445, 593, 2185, 4458, 2852, 5232, 267, 649, 4076, 4847, 25367, 543, 2930, 2069, 547, 581, 9419, 978, 24612, 543, 3954, 580, 3603, 2807, 18320, 1419, 538, 2413, 3013, 267, 649, 1226, 622, 1412, 16029, 4316, 262, 609, 606, 4316, 547, 1205, 513, 2185, 4458, 12666, 6575, 4110, 269, 898, 1058, 1611, 606, 4316, 547, 1451, 1018, 779, 2556, 547, 1205, 513, 1434, 2816, 4799, 3383, 713, 8534, 4303, 267, 607, 649, 8661, 1346, 945, 960, 2182, 547, 1628, 3013, 267, 1577, 781, 849, 1489, 519, 3872, 3292, 789, 991, 563, 297, 14493, 31661, 514, 568, 513, 3840, 267, 590, 5861, 269, 6241, 626, 543, 513, 5449, 12314, 9375, 540, 670, 792, 560, 7395, 16383, 269, 0, 268, 476, 272, 1548, 568, 513, 11407, 1383, 888, 268, 476, 273, 4208, 568, 11407, 1271, 538, 519, 4928, 888, 268, 476, 274, 1548, 568, 606, 1383, 540, 4081, 11407, 888, 268, 476, 275, 1548, 568, 2470, 540, 4928, 11407, 888, 268, 476, 276, 1548, 616, 519, 476, 275, 2010, 540, 11407, 888, 268, 476, 277, 1548, 568, 519, 2956, 540, 11407, 888, 268, 476, 278, 1548, 616, 519, 2010, 540, 4928, 11407, 888, 268, 476, 279, 1548, 568, 519, 1909, 540, 4116, 538, 4928, 11407, 888, 268, 476, 280, 1548, 616, 519, 1614, 2694, 540, 4928, 11407, 888, 268, 476, 1015, 1548, 616, 519, 2185, 4081, 11407, 1983, 888, 268, 476, 1556, 1548, 616, 519, 2934, 540, 4081, 11407, 888, 268, 476, 1321, 1548, 616, 519, 2185, 1292, 2010, 540, 4081, 11407, 1983, 888, 268, 476, 1724, 1548, 616, 519, 4162, 540, 11407, 888, 268, 476, 1691, 1548, 616, 519, 2609, 540, 11407, 888, 268, 476, 1428, 1548, 568, 519, 1611, 540, 11407, 888, 1432, 568, 513, 11407, 1383, 888, 763, 4214, 540, 11407, 568, 513, 4901, 827, 513, 1888, 2901, 538, 1603, 610, 3068, 547, 3068, 269, 1323, 1383, 540, 11407, 568, 513, 7548, 5870, 609, 513, 2875, 547, 1865, 513, 1433, 269, 5494, 6847, 568, 3989, 607, 547, 2911, 827, 513, 1641, 269, 1323, 1383, 540, 11407, 568, 1079, 14761, 6158, 827, 1699, 2621, 563, 3963, 568, 11407, 1271, 538, 519, 4928, 888, 303, 847, 6005, 25705, 543, 20309, 269, 6762, 4928, 11407, 3091, 1053, 513, 1259, 547, 2769, 741, 2093, 267, 7744, 267, 543, 3206, 269, 15858, 11407, 666, 581, 513, 3844, 3693, 540, 16565, 6310, 1702, 543, 1620, 519, 2470, 540, 6128, 563, 1432, 568, 606, 1383, 540, 4081, 11407, 888, 10907, 27854, 11407, 3322, 875, 649, 7369, 938, 2792, 950, 7722, 538, 4081, 5717, 269, 2368, 1806, 540, 4081, 2792, 616, 9499, 267, 14245, 267, 4744, 31277, 267, 1382, 4930, 267, 543, 15872, 269, 1403, 596, 4076, 1185, 1995, 609, 891, 267, 596, 3580, 1174, 875, 789, 666, 581, 1114, 563, 1432, 568, 2470, 540, 4928, 11407, 888, 12218, 3336, 11407, 568, 606, 5872, 1063, 3610, 543, 6267, 543, 1063, 6267, 543, 6267, 269, 18904, 13543, 9631, 14160, 19798, 4629, 6865, 5494, 1735, 16256, 2048, 5295, 12851, 547, 1312, 3610, 543, 1053, 269, 11819, 543, 2875, 3142, 741, 1378, 16786, 547, 519, 4928, 269, 2048, 5274, 5872, 538, 5932, 513, 2796, 799, 2417, 5872, 4386, 563, 1432, 616, 519, 476, 275, 2010, 540, 11407, 888, 763, 2185, 2757, 12331, 540, 11407, 616, 32538, 267, 6609, 267, 1163, 3789, 267, 543, 4661, 563, 1432, 568, 519, 2956, 540, 11407, 888, 11577, 6847, 4249, 513, 4105, 1909, 538, 519, 1893, 1646, 1184, 269, 769, 519, 2796, 540, 15537, 918, 6652, 1156, 779, 3069, 267, 11407, 7512, 11601, 540, 513, 1893, 267, 799, 568, 513, 1587, 540, 32436, 3157, 267, 2864, 982, 519, 1565, 267, 799, 568, 1018, 3217, 1747, 896, 8763, 6044, 563, 1432, 616, 519, 2010, 540, 4928, 11407, 888, 24154, 15939, 1325, 13630, 814, 4857, 1614, 1114, 3270, 540, 4928, 11407, 281, 630, 272, 264, 14980, 630, 1492, 4116, 12909, 3592, 782, 519, 942, 543, 12134, 1152, 606, 17573, 2243, 32140, 273, 264, 6417, 630, 553, 538, 519, 21626, 1657, 1070, 543, 630, 274, 264, 3742, 630, 1492, 4116, 16881, 1247, 519, 1053, 2911, 5097, 547, 1142, 824, 1916, 1432, 568, 519, 1909, 540, 4116, 538, 4928, 11407, 888, 27645, 616, 519, 3283, 945, 1852, 519, 4928, 543, 1053, 685, 7180, 538, 1034, 2665, 269, 769, 1840, 547, 713, 267, 6947, 547, 1053, 543, 4758, 3007, 547, 873, 568, 1271, 538, 1931, 547, 2226, 519, 1719, 538, 4928, 27964, 630, 295, 611, 7615, 476, 1960, 273, 281, 15647, 1916, 1432, 616, 519, 1614, 2694, 540, 4928, 11407, 888, 23744, 267, 4928, 11407, 568, 7768, 676, 1896, 2694, 540, 4205, 538, 3450, 268, 1565, 1184, 269, 1358, 616, 6679, 3942, 267, 1560, 3942, 267, 543, 14656, 3942, 563, 1432, 616, 519, 2185, 4081, 11407, 1983, 888, 10907, 27854, 11407, 568, 513, 2565, 851, 540, 707, 4928, 267, 855, 972, 616, 2185, 1883, 3344, 547, 2015, 269, 11879, 3206, 267, 8086, 267, 8155, 267, 543, 7589, 7520, 11407, 2864, 982, 2241, 6643, 563, 1432, 616, 519, 2934, 540, 4081, 11407, 888, 11577, 6847, 666, 1331, 4376, 689, 6947, 547, 3181, 908, 267, 14245, 547, 13849, 2275, 10744, 267, 543, 1256, 1603, 547, 1814, 1172, 532, 269, 9752, 707, 1053, 547, 5968, 543, 2170, 609, 519, 946, 540, 4081, 6863, 568, 693, 519, 2295, 540, 4081, 11407, 563, 1432, 616, 519, 2185, 1292, 2010, 540, 4081, 11407, 1983, 888, 763, 2185, 1292, 2010, 540, 4081, 1603, 616, 10855, 267, 10763, 267, 10388, 543, 2565, 269, 3962, 540, 891, 2010, 540, 1603, 814, 1808, 1893, 2934, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2510, 267, 666, 10460, 3978, 1072, 4220, 269, 11408, 2638, 609, 707, 16943, 1354, 4946, 1022, 1007, 1426, 547, 707, 3032, 779, 2732, 269, 1411, 949, 1589, 596, 2461, 3257, 873, 513, 3870, 267, 855, 621, 1223, 538, 30541, 1836, 2800, 873, 563, 22025, 1113, 667, 13377, 540, 20363, 585, 19949, 454, 4407, 649, 949, 1265, 11909, 13687, 513, 8949, 1521, 267, 938, 26804, 2828, 949, 711, 24214, 607, 1134, 609, 713, 8192, 1840, 269, 20363, 267, 1498, 8770, 11656, 585, 3425, 267, 6799, 1896, 1761, 12178, 950, 10480, 547, 7314, 269, 2913, 779, 2263, 891, 1981, 2188, 538, 1469, 563, 22958, 3320, 267, 5010, 13687, 267, 8259, 12799, 13042, 267, 568, 1419, 3484, 268, 571, 2213, 269, 901, 1826, 540, 13687, 666, 2270, 2362, 2157, 540, 14107, 543, 2539, 15060, 268, 274, 2157, 3379, 547, 922, 3552, 11218, 269, 1452, 14107, 666, 10460, 513, 3978, 1981, 547, 938, 10130, 685, 1072, 267, 5732, 4611, 538, 1585, 10108, 610, 3676, 563, 16085, 531, 3000, 7392, 1475, 303, 3326, 583, 1218, 5426, 1475, 29604, 268, 274, 5426, 2008, 290, 1846, 4189, 6151, 610, 896, 322, 10541, 13687, 1522, 581, 6534, 547, 15495, 899, 15089, 4451, 28127, 2892, 2381, 3712, 320, 267, 513, 21313, 1634, 547, 4163, 5906, 4551, 543, 8290, 269, 589, 6727, 2333, 538, 13687, 538, 741, 2732, 1223, 849, 1291, 547, 7181, 13347, 610, 11959, 269, 16842, 3282, 1465, 538, 741, 2732, 1522, 849, 9594, 20633, 4345, 267, 513, 11213, 543, 5732, 3978, 6553, 540, 519, 18558, 563, 21206, 2798, 540, 6161, 616, 912, 268, 645, 2158, 281, 20363, 7633, 666, 10460, 513, 669, 3183, 9651, 610, 3441, 707, 3032, 779, 9667, 1062, 563, 268, 17897, 902, 281, 12275, 997, 267, 22323, 267, 6070, 267, 543, 1978, 11922, 1031, 547, 5965, 13687, 666, 581, 6757, 547, 7314, 563, 2171, 9244, 18973, 602, 952, 596, 2461, 6236, 8023, 707, 3032, 11909, 13687, 267, 1491, 891, 1761, 12178, 883, 2272, 269, 31160, 1152, 11273, 267, 796, 572, 1783, 539, 267, 543, 5642, 6954, 13687, 267, 543, 3314, 20208, 568, 1883, 269, 634, 6392, 593, 707, 3032, 779, 2732, 1058, 2141, 581, 707, 17022, 269, 2755, 7314, 2972, 513, 3099, 538, 741, 2732, 267, 649, 1590, 2327, 741, 6980, 616, 2922, 543, 6484, 958, 7059, 547, 1489, 741, 2949, 1072, 563, 8448, 1530, 2378, 797, 18169, 585, 674, 3894, 454, 309, 550, 1005, 3564, 11909, 13687, 267, 3875, 824, 16872, 2010, 616, 1312, 2922, 543, 6225, 585, 938, 26804, 2828, 269, 3807, 899, 721, 267, 7314, 666, 4324, 689, 519, 3099, 538, 741, 2732, 269, 1717, 267, 972, 616, 930, 1271, 1919, 547, 5431, 950, 621, 2501, 547, 16872, 3681, 585, 7314, 563, 4537, 18276, 1419, 2306, 621, 547, 519, 1592, 540, 3032, 7888, 16872, 269, 3502, 1152, 798, 7314, 1419, 2648, 891, 6263, 7068, 267, 855, 789, 2461, 849, 14095, 609, 519, 3940, 602, 7314, 991, 269, 2142, 2386, 547, 8499, 3434, 519, 20544, 543, 4894, 922, 7387, 543, 2766, 547, 2061, 1022, 1761, 669, 3183, 10898, 563, 307, 10044, 568, 1776, 2442, 16872, 3903, 585, 7314, 269, 898, 779, 14095, 609, 15060, 268, 274, 9761, 7408, 799, 616, 1434, 585, 7314, 685, 12271, 269, 1809, 3314, 268, 27966, 1058, 581, 2016, 538, 20208, 269, 18320, 1454, 27966, 666, 1291, 547, 16035, 15464, 563, 2791, 949, 581, 14281, 547, 917, 602, 7314, 666, 849, 9108, 3548, 17875, 8127, 269, 9861, 2147, 547, 20544, 267, 789, 4043, 547, 581, 6068, 676, 535, 3894, 543, 616, 849, 3638, 538, 3940, 269, 1809, 1454, 899, 20544, 267, 621, 779, 2629, 547, 5265, 5965, 17875, 8127, 676, 5986, 621, 547, 519, 3617, 2837, 543, 9427, 1022, 2182, 16115, 563, 5278, 824, 16872, 602, 666, 581, 6035, 547, 7314, 538, 20208, 1331, 521, 731, 1149, 267, 5672, 651, 7758, 267, 543, 1185, 323, 1442, 269, 11408, 2327, 621, 779, 11273, 543, 538, 10257, 9424, 563, 347, 4537, 18276, 1475, 11947, 19871, 267, 8899, 15310, 1475, 2419, 3183, 9651, 2008, 30106, 10044, 1475, 29604, 268, 274, 15310, 1399, 3600, 1749, 1475, 300, 11697, 15464, 2008, 18871, 3863, 8127, 1475, 11947, 19871, 1475, 2419, 3183, 9651, 2008, 16085, 731, 1149, 1475, 29604, 268, 274, 15310, 1399, 3600, 1749, 1475, 11947, 538, 31406, 2008, 347, 21547, 651, 7758, 1475, 29604, 268, 274, 15310, 1399, 3600, 1749, 1475, 4692, 2270, 13802, 2008, 347, 295, 5417, 1442, 1475, 20181, 15310, 267, 4400, 19871, 1475, 4692, 2270, 7633, 2008, 2171, 666, 1406, 11168, 2614, 519, 2956, 540, 20208, 543, 1697, 7041, 269, 3807, 1317, 16872, 568, 2922, 585, 7314, 3085, 1406, 1611, 621, 1058, 1118, 909, 519, 5354, 540, 741, 2732, 269, 11408, 5077, 609, 513, 16943, 1354, 1818, 8101, 2242, 547, 707, 3032, 779, 2732, 563, 16605, 538, 2247, 602, 1247, 16872, 666, 581, 513, 1390, 1521, 267, 621, 3085, 1406, 5372, 513, 7059, 5010, 3032, 1426, 2732, 269, 26875, 1125, 6484, 958, 7059, 3032, 1426, 547, 2327, 707, 9663, 9002, 1205, 782, 519, 1898, 5567, 789, 991, 585, 513, 1279, 267, 2635, 1272, 563, 18600, 28131, 23800, 281, 19949, 543, 25968, 20363, 454, 19185, 1472, 267, 596, 3580, 5469, 6266, 540, 9159, 2984, 540, 7314, 543, 741, 4205, 609, 11909, 13687, 269, 898, 779, 5863, 547, 1174, 875, 891, 32154, 26804, 2828, 2746, 547, 713, 1880, 1826, 540, 3165, 563, 5575, 267, 1577, 779, 1413, 693, 513, 1353, 5342, 609, 827, 476, 272, 267, 1822, 4620, 7314, 269, 769, 713, 1353, 267, 476, 4037, 260, 9053, 3165, 2861, 11326, 267, 1141, 11909, 13687, 729, 835, 1851, 519, 1082, 8677, 6035, 269, 634, 5411, 4080, 602, 891, 7314, 4951, 513, 1164, 1377, 540, 1719, 543, 18399, 950, 6039, 609, 11909, 13687, 563, 31871, 540, 19949, 1475, 7093, 12401, 585, 12551, 2861, 10791, 2008, 3719, 3314, 267, 649, 1810, 1406, 1616, 547, 2489, 1125, 713, 269, 2776, 325, 3720, 666, 581, 2189, 547, 1142, 3032, 269, 1280, 3236, 267, 538, 1776, 5180, 540, 519, 5619, 5473, 476, 4335, 7314, 267, 513, 4130, 8167, 630, 21671, 476, 3374, 8472, 4951, 513, 2178, 13283, 585, 11909, 13687, 269, 901, 4422, 547, 1397, 519, 9867, 16919, 543, 7375, 538, 519, 26804, 1158, 563, 31871, 540, 19949, 1475, 7093, 12401, 585, 25968, 20363, 2008, 3719, 1018, 827, 519, 1072, 2360, 540, 8023, 11909, 13687, 547, 7314, 286, 1284, 4076, 21503, 1896, 23278, 4973, 2833, 543, 18915, 5796, 269, 4107, 1654, 1206, 3858, 602, 538, 20208, 267, 11909, 13687, 666, 581, 513, 2635, 1840, 547, 513, 3032, 779, 2732, 267, 1164, 538, 15060, 268, 274, 9761, 7408, 269, 1809, 789, 849, 2566, 602, 13687, 1058, 2760, 581, 519, 1152, 1426, 513, 3032, 22655, 269, 1703, 779, 513, 991, 585, 513, 7059, 2732, 563, 4002, 519, 16212, 2427, 267, 606, 8227, 3838, 606, 1995, 827, 741, 3032, 3384, 513, 7646, 13027, 5114, 547, 11909, 13687, 267, 4611, 538, 606, 13347, 7181, 543, 621, 577, 1465, 269, 1677, 713, 267, 1034, 1654, 1206, 6700, 602, 4352, 971, 2665, 616, 4686, 267, 621, 779, 2141, 10930, 547, 6338, 519, 1007, 1426, 7930, 543, 7747, 585, 4191, 540, 14711, 563, 2710, 891, 1483, 8996, 2833, 2285, 721, 513, 6405, 2626, 286, 3502, 8209, 269, 1809, 789, 2709, 3407, 4030, 269, 3371, 779, 938, 1271, 1491, 12537, 281, 5272, 3032, 568, 2189, 267, 609, 922, 1378, 16919, 543, 1761, 11959, 269, 1924, 621, 779, 2141, 1655, 547, 5077, 513, 17022, 1354, 1818, 1713, 2242, 547, 741, 2732, 563, 763, 2357, 18743, 689, 27259, 21126, 454, 4131, 779, 2911, 827, 13687, 543, 7314, 689, 513, 14553, 18915, 5133, 269, 966, 1115, 3494, 602, 11909, 13687, 538, 20208, 666, 581, 513, 24077, 1840, 547, 513, 3032, 779, 2732, 269, 3371, 779, 1946, 912, 268, 19871, 12474, 281, 25968, 13687, 568, 1134, 8153, 585, 922, 1164, 3940, 1543, 269, 19949, 267, 1373, 8078, 622, 23097, 2803, 267, 991, 513, 8101, 2179, 540, 3662, 1606, 712, 1027, 3940, 538, 741, 2732, 269, 901, 2629, 8770, 11226, 538, 2208, 267, 5160, 7816, 267, 543, 2949, 1072, 5826, 563, 268, 26102, 268, 274, 15310, 1399, 3600, 1749, 281, 20363, 568, 513, 9735, 2707, 540, 1271, 9761, 7408, 899, 16501, 543, 667, 11190, 269, 1452, 26102, 268, 274, 9761, 7408, 3565, 3648, 547, 2634, 543, 2295, 1072, 269, 1358, 2461, 849, 6225, 538, 4227, 6553, 543, 666, 5732, 2087, 2960, 543, 10359, 1072, 538, 707, 26804, 2828, 563, 268, 6153, 11905, 540, 23554, 7530, 1107, 20363, 568, 3638, 538, 1585, 8324, 899, 645, 1321, 267, 667, 267, 543, 824, 4105, 6886, 267, 782, 2565, 585, 707, 3032, 779, 1134, 5630, 543, 6099, 1072, 563, 268, 8899, 22358, 20946, 281, 22702, 547, 824, 3165, 2249, 267, 13687, 3622, 814, 2539, 16035, 2157, 267, 1818, 621, 5266, 10930, 585, 707, 4620, 563, 4913, 267, 972, 616, 513, 1906, 31452, 602, 596, 991, 547, 1832, 538, 2247, 1247, 7674, 11909, 13687, 547, 707, 3032, 912, 268, 11408, 4196, 13687, 11273, 269, 21984, 13687, 1522, 2270, 15495, 602, 1223, 581, 5739, 547, 707, 10475, 4620, 563, 268, 3680, 8023, 1804, 9424, 269, 6736, 922, 9422, 5383, 267, 8023, 707, 3032, 1932, 1454, 13687, 949, 1267, 538, 9422, 20817, 563, 268, 2142, 18762, 827, 1761, 11959, 269, 2368, 7314, 1522, 581, 13027, 547, 3165, 267, 865, 6895, 585, 1022, 8966, 6547, 1310, 8023, 707, 3032, 13687, 563, 4407, 621, 779, 2312, 602, 11909, 13687, 666, 581, 6225, 585, 707, 3032, 267, 621, 779, 2141, 8797, 547, 5077, 609, 707, 17022, 1354, 1818, 1022, 2101, 2242, 547, 707, 4620, 779, 2732, 269, 5457, 267, 20208, 568, 1883, 538, 4509, 513, 7059, 2732, 585, 707, 3032, 543, 5009, 741, 2949, 1134, 5630, 563, 2080, 568, 519, 24298, 1239, 538, 513, 811, 11617, 7874, 1106, 912, 347, 3682, 12888, 12474, 1475, 294, 9512, 267, 5160, 7816, 2008, 347, 29604, 268, 274, 15310, 1399, 3600, 1749, 1475, 31416, 543, 2295, 1072, 2008, 347, 309, 527, 7530, 1299, 30200, 1475, 14454, 1134, 5630, 2008, 347, 20181, 22358, 20946, 1475, 24965, 1027, 1981, 540, 15464, 2008, 21446, 2510, 547, 25968, 20363, 538, 513, 9697, 779, 10791, 454, 4407, 11909, 13687, 666, 581, 513, 17705, 1521, 585, 707, 26804, 3659, 267, 621, 779, 711, 519, 1152, 3165, 538, 519, 4262, 269, 2913, 779, 2263, 930, 824, 3681, 602, 666, 1039, 3099, 547, 707, 3032, 779, 2732, 563, 20058, 267, 649, 723, 824, 2010, 540, 3165, 602, 616, 26804, 7888, 269, 25408, 267, 27966, 267, 521, 731, 1149, 267, 543, 5672, 651, 7758, 269, 1452, 666, 581, 6039, 2901, 6151, 610, 11273, 267, 543, 519, 4130, 3165, 2249, 849, 1683, 1713, 7633, 585, 3773, 7513, 1543, 563, 26180, 880, 7392, 1475, 3963, 898, 779, 5484, 1030, 2772, 2008, 30106, 10044, 1475, 23613, 538, 3940, 543, 1898, 9761, 7408, 2008, 16085, 731, 1149, 1475, 9827, 513, 1164, 3940, 2707, 282, 3568, 7513, 689, 7633, 2008, 347, 21547, 651, 7758, 1475, 11947, 538, 15060, 268, 274, 7408, 2008, 8855, 267, 8023, 1932, 1454, 3165, 666, 1291, 547, 513, 10638, 538, 12192, 661, 267, 4929, 513, 2783, 1634, 607, 2848, 520, 2670, 563, 9202, 267, 972, 616, 7899, 540, 3032, 7888, 5388, 269, 27124, 9469, 267, 585, 3236, 267, 616, 513, 1390, 1840, 547, 513, 3032, 779, 2732, 585, 741, 6775, 1543, 799, 11226, 538, 12536, 269, 3973, 972, 616, 17112, 543, 17436, 267, 602, 2270, 1898, 6886, 543, 8324, 563, 2026, 649, 3136, 1524, 519, 1592, 267, 649, 8275, 602, 1808, 3032, 3536, 616, 19775, 547, 1683, 513, 7059, 2732, 269, 7994, 1434, 2298, 267, 10286, 6954, 1426, 543, 2638, 519, 5820, 1592, 269, 7464, 5779, 1058, 581, 693, 519, 1283, 267, 609, 1100, 2446, 540, 968, 1889, 520, 676, 1790, 20094, 9731, 7661, 267, 972, 616, 20614, 11326, 267, 799, 1223, 1331, 6151, 267, 5214, 267, 543, 13310, 3536, 563, 268, 21984, 11326, 17932, 513, 3032, 779, 2067, 2732, 538, 519, 3552, 543, 666, 1832, 707, 4620, 2635, 543, 3514, 563, 268, 17667, 3536, 2569, 707, 3032, 779, 4598, 547, 13802, 543, 5739, 6464, 563, 268, 3465, 5524, 3536, 616, 16887, 19775, 585, 7314, 609, 1808, 1072, 2175, 563, 24868, 1214, 568, 14063, 269, 1284, 2461, 711, 6031, 968, 10673, 1406, 3049, 11909, 13687, 6100, 5502, 267, 649, 2461, 11021, 602, 606, 25819, 540, 3536, 786, 948, 3666, 707, 3032, 779, 2732, 269, 898, 779, 1434, 547, 21199, 1919, 909, 12212, 267, 1175, 3314, 547, 6338, 1007, 3536, 7930, 547, 2057, 13347, 1154, 707, 4620, 779, 7181, 269, 4746, 267, 607, 2141, 267, 5077, 609, 707, 17022, 1354, 1818, 1022, 2101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2816, 267, 799, 814, 3366, 3173, 547, 2303, 602, 713, 812, 729, 834, 520, 2547, 14356, 3743, 585, 519, 9568, 8487, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 24079, 540, 3979, 12677, 3778, 5853, 538, 5027, 454, 268, 3778, 18270, 919, 1715, 8058, 24306, 2060, 5741, 547, 32693, 1125, 5403, 4149, 18561, 26671, 454, 268, 769, 476, 13970, 274, 267, 713, 16368, 521, 23546, 8694, 4168, 4341, 538, 31862, 269, 1809, 729, 646, 513, 1434, 7332, 888, 268, 14062, 12493, 781, 661, 2006, 322, 11692, 1160, 17474, 1851, 6054, 4421, 585, 1269, 277, 269, 273, 332, 538, 1715, 3840, 454, 268, 7731, 31438, 1769, 593, 1977, 31266, 7166, 676, 670, 30090, 19046, 454, 268, 3778, 25684, 22411, 10742, 693, 519, 28834, 454, 268, 24527, 11066, 570, 5281, 476, 1911, 454, 268, 6424, 8899, 5460, 531, 267, 2278, 540, 834, 763, 12815, 1772, 513, 14579, 13474, 2223, 3081, 621, 779, 1165, 569, 547, 15072, 519, 4408, 540, 10553, 6868, 1055, 5656, 454, 268, 14639, 11977, 8055, 267, 1979, 19212, 540, 674, 11403, 543, 594, 651, 267, 814, 513, 1007, 12092, 4947, 856, 2560, 540, 6723, 654, 269, 17312, 454, 268, 7579, 320, 2605, 6471, 267, 1979, 19212, 540, 6723, 543, 26795, 6115, 267, 17993, 1269, 2004, 267, 1822, 6723, 6115, 15356, 0, 763, 4323, 593, 23421, 23320, 267, 849, 1634, 607, 519, 11135, 540, 23421, 23320, 267, 519, 16127, 454, 23330, 566, 610, 3267, 5221, 519, 4323, 5949, 1510, 513, 17083, 540, 2112, 543, 454, 23719, 8763, 9963, 267, 519, 4323, 593, 2483, 8340, 856, 811, 827, 519, 1686, 540, 23421, 23320, 267, 1519, 7044, 267, 4277, 4429, 663, 607, 621, 5949, 267, 782, 540, 519, 7414, 18307, 564, 781, 19057, 941, 2476, 689, 519, 3490, 593, 454, 4002, 602, 1554, 267, 5545, 14742, 16091, 519, 2136, 2276, 25220, 12476, 693, 23421, 454, 19604, 4011, 267, 16127, 24540, 269, 634, 26645, 7166, 811, 982, 476, 273, 267, 4968, 4892, 563, 9596, 689, 519, 4966, 827, 23421, 23320, 3778, 269, 1684, 596, 917, 945, 729, 538, 3267, 1100, 454, 14075, 518, 2611, 10072, 626, 269, 3367, 2859, 827, 1018, 5949, 2991, 519, 31105, 4429, 303, 792, 331, 23320, 5758, 281, 2201, 5412, 476, 278, 267, 476, 3707, 272, 519, 5545, 9250, 513, 4429, 514, 14127, 873, 602, 713, 5949, 1247, 519, 2475, 729, 538, 519, 22984, 540, 12909, 547, 1832, 4429, 1432, 19732, 2989, 286, 1548, 3366, 909, 547, 602, 4303, 538, 5606, 18081, 286, 2782, 3294, 3622, 2306, 454, 331, 8077, 2631, 267, 855, 519, 4323, 593, 23421, 23320, 814, 2141, 17275, 519, 9345, 563, 21900, 21106, 543, 6589, 689, 7980, 20829, 519, 2475, 306, 14151, 1282, 519, 454, 3430, 871, 593, 23421, 23320, 269, 22291, 930, 8642, 11673, 563, 25486, 8784, 618, 589, 12576, 547, 782, 3988, 602, 1250, 1548, 26419, 19732, 2989, 15571, 454, 19651, 568, 593, 3267, 674, 11403, 9420, 539, 519, 4971, 619, 693, 23421, 23320, 543, 1305, 873, 909, 676, 910, 563, 13356, 476, 276, 267, 476, 1001, 275, 3267, 23421, 23320, 4323, 267, 9983, 19666, 4323, 630, 20103, 476, 278, 267, 476, 3707, 272, 264, 593, 519, 772, 2529, 269, 17189, 454, 19668, 693, 23421, 23320, 593, 744, 24660, 6816, 267, 16127, 267, 676, 519, 5545, 4429, 8855, 532, 23421, 23320, 269, 589, 23421, 23320, 5517, 16847, 269, 2201, 5412, 476, 278, 267, 476, 3707, 272, 2676, 1492, 5545, 4108, 9250, 513, 9983, 4323, 593, 519, 2136, 2276, 25220, 3267, 0, 23192, 3370, 476, 5881, 270, 5881, 270, 1001, 274, 454, 8245, 517, 661, 269, 7195, 1729, 454, 7212, 4628, 24937, 519, 726, 2074, 540, 4057, 4683, 2127, 729, 711, 3833, 1018, 12253, 18536, 631, 1195, 14269, 7315, 5921, 950, 267, 538, 476, 3192, 271, 267, 646, 9415, 5518, 9400, 29337, 547, 1491, 513, 2990, 540, 968, 17754, 793, 10714, 892, 1472, 2055, 540, 7292, 5126, 267, 602, 814, 18562, 1044, 10502, 1018, 814, 5949, 563, 268, 901, 14787, 3081, 10168, 568, 711, 513, 3450, 1907, 454, 268, 3778, 25684, 22411, 10742, 693, 519, 28834, 454, 268, 24527, 11066, 570, 5281, 476, 1911, 454, 268, 14639, 11977, 8055, 267, 1979, 19212, 540, 674, 11403, 543, 594, 651, 267, 814, 513, 1007, 12092, 4947, 856, 2560, 540, 6723, 654, 269, 17312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25259, 31954, 14941, 7923, 547, 513, 3126, 540, 6946, 682, 951, 602, 1921, 547, 513, 14440, 13691, 4908, 2079, 1062, 267, 1098, 706, 1424, 17974, 1648, 883, 7344, 1648, 543, 1287, 883, 5714, 1648, 267, 2810, 8417, 693, 1142, 1900, 1107, 952, 596, 666, 4952, 4720, 6721, 782, 602, 2899, 267, 1631, 4952, 621, 8345, 7466, 20136, 4422, 547, 1397, 602, 4720, 1235, 3494, 538, 28986, 269, 7849, 5542, 568, 741, 968, 6781, 2350, 611, 629, 571, 892, 547, 5352, 10427, 1949, 538, 2713, 1919, 269, 3143, 17431, 568, 2838, 282, 1100, 835, 4991, 547, 1413, 3297, 519, 1225, 1555, 543, 1246, 519, 5721, 540, 4351, 13592, 689, 18555, 1591, 547, 6217, 3662, 269, 1403, 2806, 2350, 611, 629, 571, 3085, 1406, 960, 519, 1101, 942, 267, 2161, 621, 609, 8561, 267, 4946, 631, 880, 1731, 629, 3121, 267, 645, 2089, 640, 645, 31463, 640, 4425, 334, 563, 763, 3162, 3979, 1344, 543, 2792, 4066, 630, 2975, 307, 264, 5823, 568, 1134, 3964, 543, 10427, 2529, 1926, 4000, 779, 7658, 1260, 779, 5989, 568, 476, 4200, 269, 280, 260, 3059, 543, 2882, 519, 5767, 538, 12616, 543, 9682, 2792, 267, 519, 2197, 814, 519, 1034, 2919, 7658, 1260, 338, 3060, 538, 4000, 630, 13548, 281, 795, 6831, 611, 16443, 264, 289, 8681, 3162, 4000, 27680, 763, 4102, 543, 1034, 4359, 538, 4000, 267, 519, 2199, 8668, 2872, 568, 27537, 676, 2029, 5718, 267, 3226, 538, 519, 2361, 540, 5985, 3301, 543, 5907, 12948, 2533, 2529, 1926, 3979, 3549, 616, 1158, 3401, 538, 840, 1790, 599, 618, 267, 8907, 2359, 543, 12611, 6604, 1949, 267, 543, 538, 519, 5478, 540, 1305, 31795, 10833, 267, 782, 29633, 6707, 547, 519, 1964, 540, 519, 1158, 20193, 779, 513, 26255, 656, 5823, 267, 609, 8668, 7836, 538, 476, 1001, 271, 8757, 1269, 1015, 267, 277, 1532, 11669, 267, 2687, 547, 519, 3162, 3979, 5082, 4710, 1013, 673, 1401, 1636, 7027, 630, 6347, 292, 4488, 1040, 8625, 609, 26313, 267, 621, 12958, 606, 6059, 1269, 3066, 1532, 11669, 538, 19614, 267, 681, 1015, 269, 274, 1532, 11669, 540, 799, 2501, 689, 8668, 16638, 2617, 566, 21026, 3979, 3301, 9367, 616, 18931, 585, 741, 5647, 267, 2504, 543, 1942, 4398, 1107, 543, 616, 20483, 676, 19756, 2199, 5989, 267, 607, 1134, 607, 2229, 1489, 269, 1280, 1383, 267, 519, 2229, 29567, 519, 20677, 12525, 2920, 538, 3646, 547, 12954, 2199, 5647, 543, 1711, 6009, 281, 3301, 9367, 666, 1631, 3409, 1394, 476, 5611, 260, 540, 1382, 543, 1646, 630, 305, 22936, 264, 9276, 1996, 3454, 269, 1703, 616, 1472, 476, 272, 476, 1822, 3301, 1646, 10909, 538, 3162, 4000, 269, 5938, 548, 1260, 338, 4415, 513, 3060, 602, 568, 476, 4200, 269, 280, 260, 3059, 543, 2882, 519, 5767, 538, 12616, 543, 9682, 2792, 267, 519, 2197, 814, 519, 1034, 2919, 7658, 1260, 338, 3060, 538, 4000, 269, 11038, 6351, 568, 849, 2139, 689, 519, 11633, 4886, 15278, 267, 799, 6663, 547, 3895, 2029, 1646, 269, 634, 8081, 19510, 585, 11633, 16743, 630, 9915, 2862, 264, 7028, 3549, 7722, 538, 519, 1646, 540, 5499, 610, 3860, 2472, 267, 585, 1383, 2529, 8394, 3486, 6144, 919, 267, 18931, 607, 3401, 538, 519, 8668, 5823, 267, 7500, 13564, 25808, 689, 3162, 4000, 267, 1519, 22126, 267, 1133, 529, 903, 267, 9786, 267, 27311, 267, 7010, 13335, 16257, 630, 306, 4338, 1070, 667, 749, 267, 23397, 331, 543, 3281, 26698, 20166, 653, 1953, 640, 14818, 532, 543, 7796, 7627, 1949, 543, 3156, 616, 3395, 4213, 538, 3162, 4000, 267, 609, 519, 4763, 540, 519, 2199, 2344, 267, 1101, 1158, 917, 24376, 538, 1870, 543, 513, 3384, 2197, 1604, 1818, 621, 606, 4998, 1449, 2978, 585, 1007, 10124, 269, 769, 476, 1001, 271, 270, 1556, 267, 717, 691, 1676, 267, 519, 3486, 1382, 1895, 267, 19486, 3162, 4000, 1369, 519, 2518, 1283, 476, 1789, 3301, 1646, 16080, 25703, 18353, 20166, 7491, 25703, 21026, 4000, 568, 513, 7957, 10696, 3486, 4087, 585, 1870, 1184, 16080, 25703, 269, 20971, 3255, 9114, 538, 519, 5066, 13050, 540, 12616, 5121, 543, 4066, 267, 543, 538, 519, 2199, 10198, 540, 3039, 20589, 4066, 585, 5907, 3334, 543, 1016, 553, 5145, 15533, 269, 8448, 3255, 1331, 519, 1646, 540, 1569, 20820, 1949, 543, 3354, 3937, 267, 16669, 5907, 1016, 17882, 338, 267, 1949, 543, 3301, 1646, 538, 519, 12948, 543, 2883, 2533, 5823, 267, 13339, 4393, 585, 20249, 25852, 267, 7471, 11387, 543, 3859, 2281, 269, 1703, 616, 849, 1713, 3255, 585, 519, 13143, 540, 8800, 543, 2404, 2533, 267, 607, 1134, 607, 3301, 543, 13020, 1023, 269, 2750, 1636, 2208, 543, 3486, 5314, 540, 3162, 3979, 3549, 568, 6462, 676, 519, 4972, 540, 11780, 543, 12752, 3842, 519, 5082, 4710, 1013, 673, 1401, 1636, 7027, 630, 6347, 292, 4488, 1040, 3162, 4000, 779, 23559, 5989, 568, 1851, 519, 1034, 2919, 538, 4000, 269, 630, 15862, 281, 15332, 7457, 264, 15973, 10716, 543, 5985, 28074, 540, 519, 10761, 538, 3162, 4000, 779, 11418, 5823, 18013, 1472, 10618, 1107, 799, 267, 1927, 609, 3560, 543, 4859, 267, 6589, 585, 1472, 476, 1015, 260, 540, 12654, 269, 634, 1209, 3821, 527, 976, 5823, 814, 1044, 835, 540, 519, 16595, 3395, 540, 519, 3162, 3979, 4346, 267, 10452, 519, 4028, 7269, 540, 5985, 7658, 21620, 2066, 519, 2197, 19403, 811, 827, 3162, 4000, 779, 26313, 5823, 25898, 596, 899, 547, 946, 713, 2376, 538, 707, 8313, 610, 593, 707, 3896, 286, 6423, 4635, 15952, 3162, 4000, 1570, 563, 12749, 30258, 547, 3619, 2060, 2494, 3042, 31964, 21118, 532, 2912, 9445, 5349, 1562, 16193, 281, 258, 11386, 258, 19859, 7809, 258, 29369, 307, 258, 19986, 5440, 30258, 547, 3619, 2060, 2494, 3042, 31964, 21118, 532, 13565, 24762, 2912, 9445, 5349, 1562, 16193, 281, 258, 11386, 258, 19859, 7809, 258, 29369, 307, 258, 19986, 4208, 15306, 14992, 10261, 3244, 16980, 16301, 540, 4419, 545, 2507, 589, 5680, 3763, 518, 779, 1715, 7454, 31541, 568, 519, 3642, 654, 2967, 2507, 594, 292, 1869, 25601, 922, 1291, 538, 519, 11422, 2344, 538, 3345, 3013, 609, 476, 4366, 269, 10844, 260, 540, 3755, 267, 4553, 676, 32288, 2135, 693, 476, 2918, 269, 278, 9077, 24904, 693, 476, 1321, 269, 11025, 9077, 543, 6380, 926, 693, 476, 1015, 269, 1626, 10065, 21809, 290, 3300, 779, 5515, 616, 1759, 593, 14919, 1239, 593, 513, 3732, 540, 936, 476, 1428, 5479, 2985, 5784, 829, 3923, 269, 594, 292, 1869, 25601, 922, 1291, 538, 519, 11422, 2344, 538, 3345, 3013, 609, 476, 4366, 269, 10844, 260, 540, 3755, 267, 4553, 676, 32288, 2135, 693, 476, 2918, 269, 278, 9077, 24904, 693, 476, 1321, 269, 11025, 9077, 543, 6380, 926, 693, 476, 1015, 269, 1626, 10065, 21809, 290, 3300, 779, 5515, 616, 1759, 593, 14919, 1239, 593, 513, 3732, 540, 936, 476, 1428, 5479, 2985, 5784, 829, 3923, 269, 476, 279, 7454, 31964, 21118, 532, 10298, 593, 519, 10369, 267, 27852, 325, 2135, 814, 16765, 2586, 5769, 25817, 547, 1831, 519, 1297, 835, 11422, 538, 2342, 267, 5359, 12642, 2754, 6465, 290, 3300, 269, 4340, 547, 5412, 5515, 267, 32288, 2135, 1185, 476, 4343, 269, 1556, 260, 540, 519, 3864, 2344, 2671, 267, 5635, 547, 594, 292, 779, 476, 4391, 269, 7367, 10065, 2005, 779, 519, 1101, 942, 602, 594, 292, 814, 1044, 5679, 18088, 856, 540, 519, 1297, 835, 2990, 538, 513, 2101, 10923, 1858, 267, 3081, 589, 617, 7315, 595, 1638, 523, 267, 6465, 290, 3300, 779, 16628, 267, 945, 2798, 547, 519, 2208, 540, 5616, 779, 24904, 607, 519, 2601, 585, 519, 6521, 269, 898, 3884, 1406, 602, 32288, 2135, 568, 11543, 9252, 267, 855, 2864, 982, 594, 292, 568, 9561, 3755, 547, 24904, 269, 2419, 4435, 568, 1869, 538, 3791, 1747, 538, 2342, 267, 855, 621, 814, 6738, 15186, 936, 519, 2250, 1032, 281, 909, 689, 476, 276, 269, 6187, 260, 538, 5412, 476, 1220, 280, 547, 476, 1691, 269, 6812, 260, 538, 5412, 476, 1001, 271, 269, 968, 2171, 616, 4440, 7487, 519, 1764, 540, 519, 6876, 1063, 3864, 8189, 6735, 8128, 543, 9786, 267, 547, 2709, 9167, 3755, 513, 3903, 543, 10624, 540, 26292, 689, 4728, 2063, 2223, 3081, 595, 1638, 523, 269, 1306, 851, 540, 922, 4550, 2389, 6412, 11175, 609, 519, 9167, 267, 9786, 814, 8045, 513, 968, 321, 4900, 518, 3440, 582, 892, 607, 851, 540, 8837, 1305, 5346, 602, 3947, 3755, 513, 3903, 540, 26292, 2864, 982, 4776, 22460, 2126, 585, 594, 292, 269, 589, 5680, 3763, 518, 779, 1715, 7454, 31541, 568, 519, 3642, 654, 2967, 2507, 32288, 2135, 814, 16765, 2586, 5769, 25817, 547, 1831, 519, 1297, 835, 11422, 538, 2342, 267, 5359, 12642, 2754, 6465, 290, 3300, 269, 4340, 547, 5412, 5515, 267, 32288, 2135, 1185, 476, 4343, 269, 1556, 260, 540, 519, 3864, 2344, 2671, 267, 5635, 547, 594, 292, 779, 476, 4391, 269, 7367, 10065, 2005, 779, 519, 1101, 942, 602, 594, 292, 814, 1044, 5679, 18088, 856, 540, 519, 1297, 835, 2990, 538, 513, 2101, 10923, 1858, 267, 3081, 589, 617, 7315, 595, 1638, 523, 267, 6465, 290, 3300, 779, 16628, 267, 945, 2798, 547, 519, 2208, 540, 5616, 779, 24904, 607, 519, 2601, 585, 519, 6521, 269, 898, 3884, 1406, 602, 32288, 2135, 568, 11543, 9252, 267, 855, 2864, 982, 594, 292, 568, 9561, 3755, 547, 24904, 269, 2419, 4435, 568, 1869, 538, 3791, 1747, 538, 2342, 267, 855, 621, 814, 6738, 15186, 936, 519, 2250, 1032, 281, 909, 689, 476, 276, 269, 6187, 260, 538, 5412, 476, 1220, 280, 547, 476, 1691, 269, 6812, 260, 538, 5412, 476, 1001, 271, 269, 968, 2171, 616, 4440, 7487, 519, 1764, 540, 519, 6876, 1063, 3864, 8189, 6735, 8128, 543, 9786, 267, 547, 2709, 9167, 3755, 513, 3903, 543, 10624, 540, 26292, 689, 4728, 2063, 2223, 3081, 595, 1638, 523, 269, 1306, 851, 540, 922, 4550, 2389, 6412, 11175, 609, 519, 9167, 267, 9786, 814, 8045, 513, 968, 321, 4900, 518, 3440, 582, 892, 607, 851, 540, 8837, 1305, 5346, 602, 3947, 3755, 513, 3903, 540, 26292, 2864, 982, 4776, 22460, 2126, 585, 594, 292, 269, 13565, 24762, 4208, 15306, 14992, 10261, 3244, 16980, 16301, 540, 4419, 545, 2507, 476, 279, 7454, 31964, 21118, 532, 10298, 593, 519, 10369, 454, 305, 664, 8959, 547, 14927, 523, 519, 14326, 540, 519, 1153, 1053, 267, 945, 941, 5258, 883, 2516, 543, 1071, 3737, 676, 5245, 267, 2871, 1716, 8124, 267, 15281, 826, 267, 5333, 543, 14135, 269, 634, 4365, 4769, 1406, 3247, 519, 1453, 779, 6679, 16008, 267, 6972, 883, 519, 28379, 609, 741, 7550, 4182, 779, 9206, 543, 1129, 267, 1354, 3257, 513, 15292, 2250, 609, 519, 9845, 543, 1810, 940, 513, 25099, 538, 741, 2477, 685, 15437, 269, 634, 1453, 941, 1287, 2322, 998, 741, 533, 2167, 676, 741, 9757, 2197, 267, 609, 519, 7550, 26880, 1565, 7899, 540, 1007, 1983, 543, 3652, 827, 519, 3014, 269, 634, 9093, 779, 476, 2412, 779, 1287, 5795, 519, 6887, 513, 17431, 540, 875, 547, 2322, 782, 540, 741, 1983, 1927, 593, 519, 2361, 543, 789, 1287, 3893, 547, 2322, 782, 741, 16012, 1983, 883, 2259, 267, 2348, 3756, 1996, 519, 824, 2477, 685, 1453, 269, 1656, 621, 7012, 1406, 1175, 519, 3214, 602, 941, 2348, 513, 19046, 267, 609, 519, 6345, 779, 11981, 519, 4316, 267, 607, 1134, 607, 4758, 5245, 513, 1906, 1007, 11655, 607, 1134, 256, 26835, 22934, 547, 519, 570, 11902, 13334, 8756, 585, 782, 540, 519, 8711, 689, 519, 15272, 16635, 269, 8940, 28938, 2593, 14121, 13224, 20584, 4252, 9476, 454, 305, 1952, 518, 543, 22256, 4882, 784, 23116, 7905, 5682, 814, 1044, 3957, 607, 519, 1007, 19121, 540, 4550, 25252, 8336, 17493, 595, 3201, 300, 269, 10521, 2101, 2367, 779, 12478, 267, 22118, 343, 543, 5440, 2006, 267, 723, 849, 8149, 547, 22937, 741, 1489, 547, 519, 5859, 547, 4339, 5256, 11980, 15030, 31581, 543, 635, 539, 1014, 267, 6424, 645, 5417, 1408, 267, 945, 568, 19480, 1524, 607, 4793, 1258, 543, 1688, 532, 936, 519, 10627, 517, 547, 7905, 5682, 267, 1767, 267, 968, 296, 6557, 1360, 4378, 10696, 547, 723, 1044, 519, 19121, 540, 595, 3201, 300, 585, 519, 2063, 5722, 1296, 269, 3683, 602, 942, 267, 621, 779, 2944, 513, 13085, 2816, 540, 9870, 1857, 9637, 827, 519, 11566, 1966, 540, 5256, 11980, 267, 543, 540, 3246, 513, 4199, 543, 3076, 5202, 585, 2367, 945, 616, 20158, 543, 1745, 789, 723, 1100, 14633, 547, 2911, 547, 269, 594, 8910, 849, 899, 547, 10950, 7905, 5682, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 10169, 9764, 5895, 267, 3006, 609, 2798, 269, 10705, 593, 536, 2526, 557, 7387, 267, 8819, 1886, 617, 7387, 543, 10007, 563, 295, 558, 582, 516, 2742, 6299, 571, 630, 299, 600, 541, 1188, 267, 476, 8687, 277, 264, 630, 7049, 639, 568, 6120, 518, 994, 300, 4068, 1602, 320, 6299, 571, 19681, 541, 1188, 267, 476, 8687, 277, 454, 295, 639, 7171, 787, 917, 24376, 540, 5411, 0, 2207, 2975, 7089, 281, 11581, 275, 1626, 271, 3374, 454, 13434, 867, 7392, 281, 681, 23966, 454, 26397, 11261, 281, 476, 1960, 278, 9539, 990, 454, 16908, 1510, 12429, 563, 763, 2810, 6871, 540, 1453, 2713, 6306, 689, 741, 2067, 18971, 568, 606, 17674, 539, 267, 543, 711, 4922, 5941, 267, 7678, 269, 12429, 16531, 568, 513, 2101, 3196, 3297, 1082, 23892, 772, 2529, 269, 1514, 2042, 269, 634, 9872, 540, 7365, 6411, 607, 2528, 781, 8783, 6174, 547, 12622, 2367, 547, 741, 1453, 269, 634, 9000, 540, 18971, 689, 1453, 781, 2729, 568, 835, 540, 519, 1034, 1271, 3123, 540, 2042, 1644, 547, 1453, 781, 1134, 5630, 971, 607, 2810, 3928, 540, 11174, 10795, 6760, 267, 4965, 543, 4189, 4713, 267, 7141, 11980, 267, 543, 6219, 6057, 269, 634, 2804, 7965, 4810, 676, 3993, 32567, 3885, 6038, 2272, 585, 1082, 540, 519, 11393, 1336, 1851, 4651, 1652, 1453, 269, 12429, 338, 1118, 2189, 7418, 547, 1126, 556, 2130, 267, 1519, 513, 15970, 2511, 1114, 689, 11299, 543, 606, 8561, 593, 1404, 267, 799, 16881, 3339, 3929, 1646, 269, 634, 4102, 2942, 12343, 540, 4651, 9000, 568, 11174, 32592, 1890, 543, 5208, 267, 543, 2038, 4638, 2534, 269, 25141, 543, 1126, 516, 2130, 957, 607, 5393, 1271, 3540, 1944, 4229, 585, 2367, 282, 950, 972, 616, 1804, 2338, 540, 1762, 267, 796, 3430, 3737, 9038, 13671, 538, 835, 1747, 267, 972, 616, 4679, 538, 1514, 4524, 269, 898, 568, 2556, 547, 3768, 334, 519, 2686, 6521, 4724, 9097, 1367, 1143, 547, 11177, 7365, 543, 5368, 8063, 18971, 538, 741, 1453, 781, 2729, 269, 15448, 538, 519, 8456, 543, 3527, 540, 12820, 267, 3909, 3401, 267, 1920, 5640, 267, 7365, 24784, 267, 9777, 2209, 267, 543, 519, 9913, 2872, 1223, 7794, 519, 9872, 540, 7365, 269, 12429, 338, 262, 1909, 1590, 581, 2699, 18249, 547, 4125, 2407, 6278, 538, 741, 1453, 781, 1646, 689, 519, 4098, 269, 630, 3519, 13935, 476, 3451, 8100, 4700, 630, 30641, 994, 26397, 7392, 281, 6176, 1323, 26087, 525, 282, 4325, 16696, 270, 9288, 7566, 14430, 454, 19733, 5426, 281, 715, 12458, 454, 288, 3578, 1681, 26323, 281, 715, 12458, 454, 9616, 281, 7433, 4843, 693, 519, 16316, 10985, 540, 519, 12135, 15709, 12429, 3125, 543, 12624, 3125, 538, 513, 667, 5744, 543, 21744, 2622, 630, 6795, 628, 267, 1488, 28002, 267, 22622, 267, 5437, 476, 278, 268, 1015, 267, 476, 1960, 278, 1040, 0, 32207, 958, 835, 610, 1079, 5220, 267, 513, 5098, 796, 5809, 6780, 948, 269, 559, 322, 543, 2488, 4287, 585, 513, 4062, 540, 1603, 269, 513, 5098, 3948, 568, 1898, 585, 606, 4081, 1557, 269, 621, 1058, 581, 2009, 585, 1004, 547, 21230, 10990, 593, 519, 1641, 596, 616, 3695, 538, 707, 1957, 269, 28465, 22250, 568, 513, 11509, 18792, 10404, 1944, 1930, 2707, 1870, 1544, 3301, 519, 8954, 4369, 2813, 676, 1164, 1153, 804, 2294, 596, 2461, 3478, 6251, 269, 782, 1382, 2055, 1058, 751, 343, 553, 1533, 1557, 3584, 581, 15545, 972, 616, 930, 2942, 543, 2318, 3344, 875, 547, 1020, 513, 2178, 5098, 875, 547, 13712, 2959, 538, 606, 1557, 15986, 547, 8915, 22038, 269, 513, 1434, 5098, 3948, 1058, 281, 3976, 267, 950, 1018, 616, 519, 4267, 547, 1250, 2979, 6780, 596, 723, 707, 2596, 5098, 267, 596, 786, 1616, 547, 4228, 621, 547, 17412, 519, 1883, 875, 547, 1020, 513, 2178, 5098, 2798, 610, 7440, 596, 786, 946, 547, 1489, 621, 1107, 513, 5098, 3948, 568, 519, 1292, 4661, 610, 1448, 602, 568, 1305, 856, 547, 581, 8810, 1210, 3584, 547, 2328, 827, 12819, 1557, 2645, 899, 9266, 543, 5924, 3929, 7744, 269, 10763, 1557, 827, 1158, 10764, 1775, 4076, 3769, 513, 3376, 1888, 3732, 2875, 12819, 1557, 585, 1142, 5098, 3948, 543, 5258, 519, 8638, 883, 2489, 16198, 543, 5339, 16198, 269, 1101, 267, 519, 5856, 10953, 513, 5098, 547, 1711, 513, 1445, 593, 606, 1557, 779, 1292, 2856, 15864, 1259, 547, 2328, 513, 5098, 3948, 476, 272, 269, 476, 272, 269, 568, 513, 4155, 4786, 585, 2852, 5288, 1164, 1153, 1557, 5635, 543, 4334, 519, 1957, 282, 538, 824, 1913, 267, 621, 6645, 519, 875, 547, 1020, 513, 2178, 5098, 5467, 1018, 547, 2503, 689, 875, 547, 1020, 513, 2178, 5098, 519, 1964, 540, 28571, 4779, 648, 14172, 1557, 519, 1957, 269, 0, 28062, 593, 645, 664, 8822, 6532, 538, 533, 6680, 22070, 269, 898, 779, 827, 476, 276, 268, 278, 10264, 1315, 476, 272, 269, 276, 268, 273, 269, 272, 7397, 7381, 543, 8449, 2647, 563, 2005, 568, 10281, 9792, 320, 5672, 15577, 12848, 267, 835, 540, 519, 30824, 1698, 8677, 2864, 982, 513, 1412, 332, 641, 3650, 262, 1826, 269, 1358, 616, 28301, 543, 4782, 9864, 610, 546, 1952, 1194, 12094, 538, 3037, 602, 1281, 711, 3819, 856, 4749, 267, 543, 991, 7899, 540, 2230, 1317, 267, 607, 596, 2446, 267, 789, 1205, 2864, 1804, 936, 942, 269, 1358, 1058, 711, 581, 2182, 929, 25293, 610, 929, 25293, 693, 782, 952, 2009, 267, 609, 1152, 4666, 3574, 6569, 538, 5614, 607, 789, 1376, 547, 6978, 856, 269, 3955, 18283, 550, 270, 572, 29193, 6565, 18309, 666, 581, 5645, 856, 952, 2556, 267, 543, 22058, 566, 18309, 593, 4587, 267, 10002, 8793, 19211, 267, 855, 713, 1826, 540, 18219, 18309, 786, 1611, 1100, 5810, 585, 513, 1032, 610, 1079, 1317, 789, 3132, 5810, 593, 519, 3105, 1032, 781, 3574, 269, 4179, 2517, 4178, 3052, 731, 2287, 3104, 6011, 2593, 270, 1941, 4442, 270, 3333, 16421, 270, 5139, 9792, 320, 15828, 864, 5115, 31622, 9792, 320, 13282, 21867, 0, 1432, 568, 918, 9545, 7395, 320, 15017, 298, 9545, 7395, 320, 568, 606, 9058, 10282, 540, 1582, 12413, 1619, 543, 1688, 3562, 11804, 8396, 267, 9862, 547, 519, 4641, 540, 4108, 543, 19742, 1604, 269, 634, 9015, 814, 1044, 6923, 7550, 676, 1082, 11439, 4229, 1472, 519, 1158, 267, 676, 930, 16918, 7128, 4559, 267, 31440, 8069, 267, 31835, 8069, 267, 3943, 717, 22218, 575, 754, 1301, 525, 267, 18230, 543, 14470, 2027, 4229, 267, 543, 676, 3875, 16918, 6304, 12665, 563, 22873, 6053, 11603, 585, 519, 4108, 543, 7128, 4229, 267, 918, 9545, 7395, 320, 8118, 547, 519, 19742, 1158, 538, 476, 3192, 273, 538, 5840, 269, 898, 729, 711, 2394, 476, 2735, 272, 602, 918, 9545, 7395, 320, 968, 1410, 19959, 892, 3564, 922, 3312, 10665, 547, 3262, 1472, 519, 1158, 563, 2005, 3533, 2919, 538, 2342, 7064, 547, 9400, 8935, 773, 321, 267, 1369, 519, 3864, 18966, 540, 918, 9545, 7395, 320, 630, 25539, 298, 300, 1916, 298, 9545, 7395, 320, 1797, 968, 29148, 8396, 892, 538, 12355, 269, 898, 814, 1079, 3334, 912, 1700, 590, 23852, 5937, 9128, 2894, 10345, 267, 568, 519, 30361, 454, 2005, 3568, 513, 3099, 540, 2553, 547, 5512, 1346, 945, 616, 15748, 547, 9718, 2933, 1996, 606, 4323, 267, 547, 2057, 7063, 543, 547, 14710, 606, 1028, 841, 656, 269, 901, 851, 3568, 1612, 3547, 1996, 513, 2647, 3099, 540, 11439, 610, 796, 28534, 6285, 543, 538, 1114, 2596, 7158, 281, 7555, 267, 9361, 267, 14084, 1524, 7498, 1700, 674, 26097, 28132, 16898, 2910, 11586, 2969, 568, 513, 811, 4359, 5123, 454, 2005, 11414, 875, 547, 3533, 543, 3927, 9243, 1125, 835, 610, 811, 17837, 269, 898, 6770, 1927, 2609, 1644, 547, 519, 8396, 3294, 281, 12485, 267, 905, 6493, 267, 519, 4999, 540, 1114, 6285, 267, 519, 5626, 10155, 540, 8396, 2507, 543, 865, 1082, 5751, 547, 7794, 835, 779, 2247, 543, 1020, 606, 2702, 547, 4383, 10795, 13720, 725, 538, 513, 1533, 540, 2566, 563, 298, 9545, 7395, 320, 568, 711, 1776, 19831, 6575, 1153, 1759, 593, 6671, 4485, 269, 898, 568, 1657, 782, 513, 2413, 1505, 540, 1582, 12413, 1619, 6353, 676, 513, 17396, 543, 9266, 1259, 540, 3206, 602, 2636, 2067, 267, 4052, 543, 2653, 2553, 267, 1759, 593, 5266, 2241, 5322, 540, 519, 1480, 1560, 269, 1677, 2611, 538, 1899, 609, 519, 17779, 540, 713, 9015, 267, 3652, 267, 7182, 610, 5026, 454, 4818, 564, 1431, 3112, 581, 8045, 269, 0, 10481, 657, 7220, 3194, 4659, 630, 1001, 275, 264, 1107, 634, 4168, 24306, 540, 3163, 568, 519, 2034, 12558, 538, 519, 15154, 20520, 3126, 269, 769, 713, 12558, 267, 519, 2243, 540, 2436, 8567, 6411, 607, 513, 22530, 819, 602, 6585, 1394, 519, 13120, 540, 2257, 568, 8947, 269, 634, 13654, 2093, 540, 8567, 616, 3379, 609, 824, 3909, 24866, 8151, 689, 16183, 1143, 547, 1323, 574, 1143, 269, 31595, 779, 9525, 538, 519, 4655, 936, 10515, 1716, 4618, 543, 623, 1729, 548, 2742, 545, 24300, 540, 938, 7122, 568, 8947, 2059, 609, 519, 3206, 540, 824, 1390, 3744, 8151, 689, 7917, 15196, 548, 543, 21469, 13053, 547, 8402, 30854, 584, 563, 7804, 269, 6276, 30567, 600, 6257, 2621, 3056, 547, 31595, 779, 24890, 269, 4033, 3584, 616, 519, 7242, 602, 519, 968, 29788, 3618, 892, 729, 513, 3661, 538, 19090, 685, 1554, 267, 610, 602, 16199, 2917, 779, 1290, 564, 729, 608, 268, 10919, 5344, 676, 519, 7826, 5783, 269, 4107, 540, 799, 616, 10419, 18050, 676, 519, 2489, 1857, 269, 634, 1433, 1373, 5941, 568, 713, 835, 281, 968, 763, 19606, 540, 3163, 281, 1215, 519, 4168, 5664, 12698, 5487, 684, 3481, 519, 11660, 7169, 6100, 6276, 30567, 600, 814, 513, 6323, 4110, 689, 519, 2160, 540, 10228, 543, 513, 12854, 538, 519, 3778, 543, 13898, 540, 3163, 689, 519, 2160, 540, 11062, 269, 0, 306, 4149, 10628, 5678, 4065, 4659, 630, 424, 500, 372, 424, 500, 368, 422, 369, 494, 424, 506, 350, 424, 505, 494, 264, 5678, 3194, 630, 424, 500, 368, 17432, 503, 29306, 364, 422, 369, 361, 264, 5678, 3194, 630, 424, 500, 368, 17432, 503, 29306, 364, 422, 369, 361, 264, 11730, 476, 1626, 7089, 476, 272, 270, 273, 630, 2735, 271, 994, 23458, 4515, 383, 361, 857, 1890, 13281, 609, 7981, 13129, 547, 17327, 2296, 454, 268, 17136, 11261, 454, 268, 10563, 482, 506, 424, 504, 372, 423, 490, 478, 17432, 503, 422, 369, 494, 10563, 500, 372, 424, 500, 368, 422, 369, 494, 424, 506, 350, 424, 505, 494, 454, 268, 10563, 500, 368, 17432, 503, 29306, 364, 422, 369, 361, 267, 5292, 269, 1626, 3143, 269, 273, 267, 6032, 269, 476, 3192, 268, 23470, 454, 268, 901, 568, 513, 1867, 593, 519, 1101, 5123, 540, 1382, 593, 3044, 1944, 1893, 15334, 269, 4152, 6462, 676, 12080, 540, 4065, 1382, 9886, 269, 901, 1101, 5123, 568, 7255, 5631, 609, 4152, 5711, 15334, 998, 11042, 269, 898, 849, 9388, 267, 2705, 267, 609, 930, 2489, 543, 2596, 9270, 593, 1893, 15334, 4152, 538, 2489, 609, 2027, 8561, 593, 5355, 1543, 14496, 543, 6221, 2079, 4480, 269, 0, 2304, 594, 1097, 29321, 2986, 6611, 28096, 269, 29034, 821, 568, 2965, 1152, 835, 4759, 540, 606, 476, 5390, 9566, 540, 6611, 5798, 267, 799, 849, 2882, 519, 1360, 9490, 543, 5347, 24262, 540, 21275, 267, 623, 718, 2940, 543, 589, 1122, 2801, 517, 269, 589, 1122, 2801, 517, 568, 513, 1360, 267, 1360, 1507, 7599, 2280, 602, 849, 1000, 597, 3149, 1472, 1063, 631, 574, 553, 543, 661, 1338, 19921, 639, 269, 6145, 29034, 821, 267, 589, 1122, 2801, 517, 10525, 513, 12357, 569, 796, 12378, 1639, 2627, 563, 288, 7599, 568, 3989, 607, 513, 2067, 9682, 602, 25057, 513, 3677, 1560, 734, 7945, 607, 513, 4541, 734, 7474, 267, 538, 2490, 267, 25057, 513, 5182, 269, 634, 7599, 568, 6854, 538, 922, 2990, 1312, 676, 519, 8904, 540, 519, 1843, 602, 621, 10580, 267, 607, 1134, 607, 676, 922, 1378, 8904, 269, 2368, 10785, 616, 11497, 1243, 676, 24262, 282, 930, 616, 711, 269, 2368, 21221, 10785, 734, 7945, 607, 32624, 734, 335, 1601, 612, 24262, 269, 769, 1249, 267, 835, 540, 32624, 781, 24262, 267, 3957, 4077, 517, 267, 568, 3592, 3368, 519, 2450, 540, 32624, 3294, 267, 543, 930, 19236, 3744, 1589, 602, 4077, 517, 568, 2731, 513, 32004, 540, 32624, 602, 729, 14324, 1055, 538, 513, 29070, 16580, 609, 1776, 1843, 1360, 1279, 3516, 269, 769, 1840, 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 ]
[ 547, 2253, 519, 1788, 543, 723, 20827, 519, 9380, 532, 540, 513, 1007, 11861, 540, 7323, 918, 11839, 267, 799, 786, 581, 519, 1292, 16007, 269, 700, 687, 11271, 538, 4914, 2477, 616, 6494, 3824, 13344, 547, 581, 5116, 28624, 519, 4677, 269, 634, 11428, 568, 1305, 585, 1985, 5614, 563, 4002, 4159, 693, 594, 11803, 5682, 616, 13344, 689, 12325, 267, 2829, 5443, 267, 1158, 3401, 543, 519, 1455, 812, 267, 607, 1134, 607, 5513, 2588, 525, 267, 513, 5399, 540, 4858, 4068, 2835, 267, 804, 2089, 902, 267, 11147, 543, 17855, 10367, 563, 296, 11803, 5682, 568, 1930, 631, 1180, 904, 998, 590, 4405, 17058, 689, 476, 279, 281, 1789, 589, 8160, 269, 547, 476, 276, 623, 8160, 1421, 543, 593, 9530, 904, 689, 476, 272, 547, 476, 276, 623, 8160, 563, 10817, 3660, 19150, 616, 6035, 3232, 269, 1520, 5692, 568, 1269, 272, 585, 4079, 267, 476, 2004, 21347, 585, 1453, 269, 2353, 23131, 979, 547, 519, 11330, 476, 1068, 344, 8274, 5861, 2632, 514, 826, 2542, 519, 1292, 1650, 0, 2005, 568, 2352, 547, 798, 5126, 547, 519, 10100, 267, 6830, 3363, 267, 543, 16177, 540, 519, 23806, 540, 519, 9663, 4123, 267, 945, 5342, 891, 2038, 30295, 267, 543, 1101, 13264, 741, 1259, 998, 513, 19069, 1141, 3388, 729, 7229, 547, 15658, 543, 10982, 599, 873, 563, 1103, 476, 8146, 271, 267, 519, 7681, 3576, 519, 2012, 540, 519, 27743, 13738, 674, 584, 7577, 267, 540, 799, 18279, 4427, 30592, 543, 7917, 23720, 941, 7986, 2818, 563, 1103, 519, 29291, 267, 519, 1967, 540, 713, 2754, 13631, 519, 3007, 543, 9599, 519, 900, 1637, 540, 519, 1977, 674, 584, 7577, 267, 543, 4547, 873, 2899, 811, 883, 519, 2361, 540, 741, 3504, 13055, 563, 2005, 7018, 547, 803, 602, 513, 960, 540, 713, 2186, 1522, 17663, 513, 3099, 540, 1346, 8049, 3877, 267, 865, 4277, 547, 803, 267, 3879, 13577, 540, 519, 9663, 454, 339, 8565, 282, 540, 922, 6552, 543, 27093, 16904, 267, 543, 540, 519, 1585, 1004, 267, 543, 11031, 267, 543, 5641, 525, 267, 543, 3197, 267, 3540, 1242, 543, 5260, 720, 267, 4299, 676, 922, 4238, 563, 4517, 519, 6968, 338, 5443, 4682, 909, 547, 519, 3529, 267, 543, 950, 789, 3357, 1394, 1586, 1767, 267, 1412, 1103, 519, 17860, 3529, 972, 6013, 513, 1034, 8748, 28458, 267, 971, 607, 649, 2760, 4718, 1354, 282, 922, 2960, 4667, 547, 581, 540, 513, 8536, 5686, 540, 9663, 267, 855, 972, 621, 6013, 3728, 18069, 563, 10190, 1352, 3576, 1200, 2370, 17689, 267, 543, 4682, 883, 1200, 19970, 267, 543, 3576, 1055, 519, 9663, 2960, 267, 543, 18233, 519, 865, 582, 689, 1055, 1200, 3068, 543, 3946, 267, 865, 602, 1200, 5898, 695, 821, 8521, 899, 519, 3141, 689, 3297, 519, 12269, 563, 16352, 2944, 713, 646, 9292, 3072, 569, 3768, 573, 1010, 575, 2273, 548, 267, 8118, 856, 1010, 9663, 10359, 267, 543, 2348, 14593, 21208, 7534, 1524, 267, 2482, 1524, 593, 1283, 540, 1864, 267, 8720, 1864, 711, 1152, 609, 1010, 9663, 10359, 855, 609, 519, 2898, 540, 1010, 1560, 267, 799, 16657, 539, 609, 14246, 563, 3891, 2482, 899, 602, 585, 513, 1279, 942, 267, 530, 31441, 1010, 4064, 593, 519, 9663, 540, 1010, 10359, 543, 512, 31902, 896, 1010, 12597, 519, 1318, 1236, 7398, 267, 799, 519, 2842, 6854, 7432, 909, 563, 763, 824, 31269, 540, 519, 4055, 267, 2947, 538, 1297, 267, 941, 782, 8951, 267, 543, 789, 941, 1869, 12008, 267, 533, 6150, 1164, 609, 513, 2138, 2917, 5044, 540, 3623, 802, 543, 535, 2720, 454, 2026, 1352, 1185, 1100, 19703, 3766, 1144, 609, 1200, 1352, 2322, 593, 1200, 1279, 9663, 10359, 936, 1200, 3781, 3766, 1144, 267, 28520, 930, 20743, 593, 519, 3595, 267, 543, 2482, 1524, 563, 9515, 4769, 1405, 1376, 282, 1152, 1200, 824, 1688, 24363, 547, 519, 8728, 540, 519, 9663, 10359, 267, 17680, 6137, 873, 1927, 936, 1200, 6089, 563, 763, 3666, 540, 519, 3781, 649, 6170, 695, 1853, 532, 538, 938, 16283, 12008, 3623, 802, 543, 535, 2720, 454, 1575, 517, 519, 6777, 602, 6013, 693, 519, 3723, 540, 519, 4672, 1532, 541, 8175, 269, 0, 4942, 9582, 6096, 1280, 15206, 563, 30747, 7124, 7335, 6096, 15026, 563, 30747, 7124, 4569, 6096, 563, 19530, 762, 15206, 6096, 7335, 24366, 563, 30747, 7124, 7335, 24366, 8018, 1290, 563, 2080, 596, 616, 693, 938, 3896, 269, 27009, 649, 616, 30590, 547, 17551, 649, 723, 1336, 606, 5393, 4277, 13395, 547, 581, 11329, 856, 267, 602, 568, 2542, 8223, 3211, 585, 9656, 269, 2368, 1004, 10478, 585, 3877, 827, 2542, 8223, 3211, 585, 9656, 543, 540, 1576, 835, 540, 873, 568, 596, 267, 568, 711, 621, 888, 2467, 616, 1978, 7778, 1946, 596, 616, 3168, 585, 9623, 827, 2542, 8223, 3211, 585, 9656, 267, 543, 15983, 267, 596, 616, 3168, 585, 1007, 10372, 585, 707, 5301, 269, 1284, 5462, 713, 593, 519, 2121, 2959, 543, 649, 1589, 713, 568, 835, 540, 1896, 5140, 1570, 585, 4704, 269, 1656, 596, 917, 267, 950, 594, 1101, 1336, 621, 267, 649, 6068, 621, 267, 23248, 596, 616, 1932, 269, 1284, 917, 267, 649, 949, 723, 1114, 16752, 267, 855, 267, 1018, 649, 798, 1175, 1544, 547, 4217, 596, 538, 4466, 811, 10372, 827, 2542, 8223, 3211, 585, 9656, 563, 10666, 17421, 6609, 281, 12005, 814, 1044, 3370, 676, 2278, 269, 1284, 9684, 596, 585, 707, 3643, 547, 938, 3896, 269, 5269, 2386, 596, 1205, 519, 1344, 596, 616, 3168, 585, 269, 1684, 711, 7340, 547, 2671, 543, 2648, 938, 4704, 547, 948, 2417, 1020, 938, 3896, 563, 16665, 16103, 609, 7335, 24366, 6096, 1280, 15206, 454, 10403, 2776, 1299, 15206, 7335, 24366, 6096, 1923, 918, 276, 3267, 7335, 24366, 6096, 1280, 15206, 0, 1475, 5851, 1923, 5131, 15080, 585, 2659, 13505, 1923, 4427, 2466, 606, 9137, 1923, 22339, 1047, 1923, 13017, 547, 2974, 1923, 9612, 1923, 13555, 2974, 13466, 454, 290, 675, 23126, 4635, 12713, 12890, 3724, 910, 15080, 5080, 325, 532, 454, 2252, 596, 616, 3168, 547, 2087, 1072, 267, 2119, 1210, 707, 2247, 269, 3414, 6915, 12890, 3724, 267, 1072, 568, 4824, 1510, 519, 946, 540, 6646, 269, 634, 2702, 547, 946, 2247, 1379, 538, 713, 1259, 814, 1044, 7152, 538, 3875, 3621, 1382, 2090, 269, 769, 1249, 267, 1382, 814, 3254, 602, 6915, 12890, 3724, 2337, 1852, 610, 16185, 5111, 476, 5611, 1114, 2564, 2175, 267, 971, 607, 3905, 30303, 267, 10447, 267, 8886, 762, 15108, 6794, 267, 28574, 1841, 2068, 267, 14331, 267, 538, 11666, 775, 267, 1164, 1973, 2604, 267, 12150, 2295, 2041, 1846, 267, 20560, 267, 543, 2427, 13716, 338, 540, 18068, 267, 971, 607, 13481, 543, 15353, 563, 272, 269, 1548, 1772, 12713, 12890, 3724, 888, 27807, 12890, 3724, 3322, 3450, 519, 1560, 547, 1852, 32246, 6114, 267, 971, 607, 1973, 2604, 267, 2634, 2534, 267, 2295, 2557, 267, 543, 4887, 8082, 269, 3414, 891, 2553, 267, 513, 1268, 666, 1521, 1312, 2168, 543, 2790, 1072, 2042, 269, 12713, 12890, 3724, 666, 849, 948, 2061, 1072, 2042, 543, 1683, 519, 19995, 609, 2949, 4824, 1072, 543, 513, 3152, 2631, 540, 1134, 5630, 269, 3414, 519, 946, 540, 6915, 12890, 3724, 267, 513, 1268, 666, 5732, 9004, 519, 991, 547, 946, 6646, 269, 6684, 267, 6915, 12890, 3724, 666, 948, 1521, 10108, 602, 723, 1044, 796, 22529, 633, 547, 6646, 563, 273, 269, 1215, 6496, 898, 4518, 888, 288, 1268, 666, 581, 8036, 538, 6915, 12890, 3724, 609, 519, 948, 540, 513, 13309, 16887, 8036, 538, 519, 2361, 269, 13575, 267, 513, 8400, 585, 2866, 538, 6915, 12890, 3724, 3217, 476, 1789, 547, 476, 2568, 3764, 269, 4438, 835, 540, 891, 7886, 267, 519, 13309, 4025, 5122, 8596, 593, 1114, 2694, 540, 519, 1560, 538, 1931, 547, 6895, 519, 1259, 519, 1560, 20781, 547, 2566, 269, 1452, 6114, 267, 971, 607, 4887, 27373, 267, 786, 9594, 513, 3210, 609, 519, 3937, 1373, 1031, 585, 5464, 267, 971, 607, 513, 581, 9429, 3280, 269, 769, 713, 1259, 267, 519, 1268, 1373, 8036, 538, 6915, 12890, 3724, 666, 2253, 547, 1118, 12205, 1063, 519, 13938, 903, 6114, 609, 519, 1259, 519, 1560, 568, 8647, 563, 274, 269, 12713, 12890, 3724, 10241, 454, 7628, 513, 3797, 8400, 267, 519, 1268, 1373, 8036, 538, 6915, 12890, 3724, 8942, 547, 4188, 1010, 13938, 903, 6114, 269, 634, 1268, 11392, 31934, 5955, 689, 519, 3937, 1373, 1031, 269, 1403, 519, 1560, 5170, 547, 2746, 538, 606, 8801, 6752, 267, 519, 581, 9429, 1297, 540, 581, 9429, 4992, 1522, 2333, 269, 901, 1797, 519, 1966, 568, 3478, 8338, 269, 1403, 519, 581, 9429, 11081, 267, 519, 1966, 568, 3478, 1732, 269, 769, 713, 1259, 267, 519, 1268, 16137, 1018, 2238, 948, 2569, 519, 1966, 543, 1018, 2238, 24395, 622, 621, 563, 275, 269, 634, 12713, 12890, 3724, 6713, 454, 2467, 616, 1082, 1114, 2010, 540, 3684, 1031, 547, 948, 538, 519, 6915, 12890, 3724, 1184, 269, 1323, 5082, 668, 344, 6945, 630, 4932, 294, 264, 3096, 8596, 610, 22809, 547, 2268, 8082, 538, 6091, 269, 901, 568, 2523, 5363, 538, 1565, 875, 547, 1852, 8860, 540, 4522, 543, 547, 6001, 6091, 267, 3226, 538, 519, 2212, 267, 1394, 267, 543, 8405, 269, 898, 666, 849, 948, 609, 10108, 602, 1831, 8338, 538, 17173, 3871, 267, 971, 607, 21385, 543, 10447, 269, 1635, 1210, 606, 15444, 294, 267, 519, 1268, 16137, 547, 5431, 891, 4606, 2038, 543, 568, 1287, 2111, 547, 1852, 519, 4606, 540, 8082, 5612, 563, 276, 269, 16424, 18143, 6178, 1023, 454, 2791, 666, 849, 1395, 3438, 519, 1560, 781, 2837, 676, 1210, 8596, 269, 10705, 267, 1560, 5210, 6749, 950, 896, 2566, 269, 4475, 267, 513, 1970, 2837, 6920, 513, 991, 547, 2253, 7900, 11005, 2553, 269, 901, 1826, 540, 6915, 12890, 3724, 568, 2523, 5363, 585, 1004, 609, 28574, 1841, 2068, 610, 945, 7985, 689, 31264, 269, 4033, 8596, 666, 581, 1031, 547, 2268, 17570, 19914, 2534, 269, 901, 568, 1572, 8895, 7079, 545, 16164, 3210, 2866, 269, 28246, 1086, 17508, 666, 581, 513, 1129, 540, 4160, 269, 4197, 713, 1106, 540, 6915, 12890, 3724, 543, 875, 519, 1560, 23465, 666, 948, 1852, 4160, 267, 607, 1134, 607, 943, 984, 5362, 543, 588, 32211, 563, 277, 269, 634, 661, 9680, 454, 2304, 5082, 549, 775, 13921, 6945, 630, 7417, 294, 264, 666, 849, 581, 1031, 538, 6915, 12890, 3724, 2866, 269, 634, 661, 9680, 568, 5827, 540, 5464, 2634, 6329, 269, 1452, 2634, 6329, 616, 4448, 547, 513, 3099, 540, 2790, 2829, 267, 1519, 11005, 267, 12687, 6888, 267, 543, 9350, 1145, 269, 589, 11727, 6915, 12890, 3724, 13309, 666, 581, 1336, 676, 32296, 519, 12713, 12890, 3724, 27872, 4659, 540, 3013, 630, 289, 5746, 288, 1040, 634, 645, 5746, 288, 666, 1683, 4408, 540, 14468, 16293, 538, 1808, 2127, 540, 519, 2136, 2276, 563, 278, 269, 6164, 532, 9839, 15136, 454, 27807, 12890, 3724, 814, 849, 1044, 1031, 547, 948, 1521, 8482, 9601, 945, 723, 4503, 3350, 538, 741, 6091, 269, 769, 1840, 267, 16895, 946, 6915, 12890, 3724, 547, 948, 7532, 14221, 7218, 543, 1082, 12665, 946, 6915, 12890, 3724, 547, 948, 2550, 1451, 547, 4308, 609, 1928, 269, 9315, 13519, 2855, 20263, 5362, 267, 1164, 543, 1970, 1973, 2604, 267, 20560, 267, 543, 9667, 1062, 4713, 723, 849, 1044, 6707, 5701, 609, 6915, 12890, 3724, 563, 279, 269, 898, 3718, 454, 30535, 2161, 6915, 12890, 3724, 1568, 585, 873, 269, 898, 781, 782, 827, 9333, 9227, 707, 1560, 543, 1565, 547, 1224, 3054, 676, 513, 3391, 547, 1397, 596, 875, 547, 798, 621, 538, 519, 1101, 1747, 563, 15648, 9736, 476, 1960, 276, 910, 7353, 3780, 595, 8083, 537, 330, 529, 630, 5472, 7126, 27616, 1916, 6635, 1206, 543, 27207, 454, 8505, 334, 543, 22427, 4242, 454, 19968, 543, 16010, 454, 4467, 1584, 619, 543, 5769, 454, 4467, 1584, 619, 543, 5303, 454, 15933, 543, 27276, 454, 15933, 543, 27276, 645, 454, 294, 611, 12033, 543, 717, 714, 21573, 454, 27736, 543, 1855, 839, 454, 8469, 545, 1149, 543, 3816, 12203, 454, 24523, 543, 20176, 625, 454, 303, 1115, 543, 12292, 454, 303, 29176, 543, 6554, 454, 3725, 21551, 543, 11846, 454, 9199, 767, 543, 2274, 15370, 454, 9199, 767, 3487, 645, 454, 11039, 1145, 267, 24524, 543, 10791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2542, 1063, 519, 3515, 281, 7700, 2188, 602, 1860, 3446, 476, 276, 2875, 2542, 2773, 607, 6027, 2066, 5045, 21562, 781, 476, 1556, 4654, 269, 11790, 12018, 1053, 262, 4081, 2773, 538, 519, 519, 3446, 3892, 2188, 29211, 2875, 1565, 538, 519, 1101, 8051, 1576, 543, 519, 269, 2368, 2188, 7133, 2542, 281, 476, 272, 264, 26725, 543, 5904, 723, 2731, 4299, 938, 5834, 1379, 4061, 267, 621, 3587, 2352, 547, 3251, 538, 835, 1747, 543, 1224, 269, 6103, 835, 1053, 540, 2545, 22115, 324, 10026, 1153, 267, 561, 3518, 807, 524, 698, 18885, 632, 522, 549, 2749, 4259, 281, 713, 1353, 568, 10855, 538, 2470, 543, 602, 621, 568, 5059, 593, 519, 1353, 6208, 543, 519, 2188, 602, 1860, 1353, 6208, 540, 3446, 835, 1053, 540, 2545, 22115, 324, 10026, 1153, 519, 10855, 1374, 6212, 693, 519, 269, 11790, 602, 1860, 2542, 1331, 855, 616, 711, 3908, 547, 281, 2557, 540, 8223, 543, 12802, 267, 3983, 10259, 267, 30759, 267, 4057, 1582, 12635, 543, 3668, 540, 12003, 1983, 7214, 543, 11095, 1565, 9124, 616, 1419, 2938, 538, 1053, 1247, 1565, 875, 547, 1224, 267, 543, 2589, 563, 2399, 832, 7133, 519, 2542, 8223, 1983, 1851, 3446, 642, 10453, 3184, 476, 272, 4367, 4282, 540, 519, 1353, 2542, 8223, 1983, 616, 1898, 547, 1967, 538, 2486, 2221, 519, 2702, 547, 1224, 568, 3810, 12595, 543, 1360, 1271, 585, 552, 935, 334, 269, 11790, 7133, 4081, 2773, 540, 3119, 1153, 1453, 533, 8140, 4760, 540, 2564, 1382, 267, 476, 1001, 274, 630, 777, 22567, 910, 795, 2317, 264, 476, 5392, 1282, 18362, 14121, 3949, 543, 13974, 5325, 260, 1857, 543, 476, 7367, 269, 11790, 7700, 547, 1053, 262, 4057, 2773, 538, 6128, 693, 32650, 5984, 1860, 873, 543, 741, 2123, 2188, 602, 1860, 2773, 538, 6128, 267, 543, 269, 3509, 2090, 723, 7150, 602, 519, 1034, 1271, 27667, 540, 2773, 538, 2564, 1153, 568, 1312, 1991, 4081, 2702, 543, 7005, 1893, 15334, 272, 268, 274, 538, 1776, 1353, 267, 519, 14227, 4567, 568, 835, 540, 519, 2188, 602, 5540, 1565, 519, 2278, 2829, 602, 1053, 1451, 1732, 952, 789, 616, 689, 606, 1657, 8584, 2071, 610, 3328, 4747, 563, 26502, 602, 1860, 519, 2542, 2773, 540, 3446, 476, 272, 10453, 1246, 476, 272, 2626, 476, 272, 1867, 6057, 1018, 782, 2188, 1860, 519, 3902, 540, 513, 6006, 269, 11790, 7133, 4081, 2773, 540, 15938, 1053, 693, 579, 326, 7701, 22344, 6280, 676, 737, 344, 657, 4725, 320, 2261, 15925, 536, 9346, 630, 1075, 340, 264, 476, 1220, 276, 10774, 323, 6860, 270, 275, 2918, 273, 340, 269, 476, 272, 948, 519, 1053, 1831, 3222, 540, 519, 2188, 602, 1860, 741, 2773, 538, 6128, 6616, 971, 2188, 666, 948, 873, 2697, 741, 9342, 543, 12755, 602, 7683, 15936, 741, 269, 1215, 1281, 18006, 1860, 4928, 2259, 529, 835, 10855, 1382, 602, 11394, 547, 4983, 519, 16799, 540, 2188, 602, 2491, 543, 4863, 1807, 585, 3446, 563, 24357, 8344, 2188, 533, 277, 281, 4766, 519, 2360, 540, 12214, 2188, 593, 5026, 2866, 543, 2773, 538, 782, 267, 972, 616, 476, 275, 12214, 2188, 602, 949, 1860, 2576, 781, 5026, 2773, 8404, 267, 26901, 531, 267, 4160, 267, 7209, 543, 5834, 8404, 268, 8404, 568, 519, 5748, 782, 18942, 4674, 543, 22920, 269, 17502, 1470, 11296, 2188, 602, 1860, 1453, 781, 930, 540, 519, 840, 10275, 1453, 941, 2907, 2542, 693, 513, 1101, 3446, 1377, 1018, 2188, 616, 7133, 1453, 781, 269, 10021, 518, 281, 2069, 2152, 910, 4632, 7133, 2875, 9740, 4367, 2875, 9740, 568, 711, 3274, 513, 2339, 540, 1018, 4523, 538, 1153, 4352, 3506, 666, 543, 798, 1118, 513, 1713, 3017, 267, 1382, 814, 4857, 3875, 2188, 799, 1860, 2875, 1967, 269, 476, 272, 1980, 21881, 2188, 547, 4057, 15226, 2773, 538, 2168, 9443, 538, 519, 3123, 540, 4057, 15226, 2773, 538, 2168, 9443, 538, 3446, 476, 1321, 538, 519, 563, 3383, 6340, 540, 2542, 568, 519, 2582, 1034, 1271, 5578, 2556, 585, 513, 6126, 267, 11327, 543, 3811, 1272, 649, 991, 547, 1101, 1265, 856, 3976, 2188, 602, 1522, 1860, 610, 17225, 835, 781, 2542, 10781, 538, 1931, 585, 721, 547, 3035, 513, 6126, 267, 11327, 1299, 6126, 1272, 711, 1175, 585, 6000, 855, 849, 585, 519, 1004, 1472, 721, 543, 585, 938, 269, 769, 1249, 267, 649, 2709, 519, 1739, 5796, 547, 3610, 538, 3506, 538, 799, 649, 960, 267, 799, 666, 581, 1336, 538, 519, 7650, 540, 519, 1032, 585, 3988, 11320, 761, 619, 3561, 267, 799, 9311, 625, 1142, 540, 938, 1032, 14075, 3446, 10391, 1225, 14152, 30300, 1513, 585, 2542, 543, 1603, 13186, 267, 713, 1225, 14152, 1544, 23933, 856, 835, 6700, 1931, 540, 4559, 267, 543, 849, 2882, 269, 4033, 2188, 1860, 6947, 8223, 538, 13460, 267, 1141, 3610, 8415, 5711, 14245, 547, 4001, 1007, 1543, 547, 1053, 3044, 2542, 563, 26502, 2404, 609, 1164, 1153, 6267, 262, 4057, 2773, 281, 7401, 16584, 23356, 543, 682, 320, 678, 940, 540, 544, 693, 8280, 693, 9079, 521, 543, 1085, 26759, 562, 576, 4278, 522, 1872, 554, 719, 1413, 693, 3446, 476, 1321, 269, 2290, 3815, 602, 5222, 2542, 8223, 568, 519, 2796, 538, 799, 2542, 4386, 267, 610, 1141, 543, 875, 621, 3217, 1747, 972, 616, 1079, 2081, 547, 1413, 693, 519, 2796, 538, 2474, 540, 2542, 8223, 269, 2296, 3610, 593, 519, 2188, 7133, 7005, 6044, 538, 519, 3446, 476, 278, 737, 547, 476, 1321, 2069, 2542, 543, 1603, 543, 13156, 540, 519, 17013, 593, 519, 563, 23114, 267, 1920, 267, 543, 4081, 2188, 7133, 1970, 9740, 538, 6281, 1153, 2773, 547, 8404, 630, 339, 2532, 3804, 10066, 1070, 547, 1582, 262, 268, 2958, 6819, 5615, 267, 543, 547, 16169, 607, 513, 1599, 540, 4305, 4162, 630, 16435, 831, 267, 476, 1220, 273, 269, 11790, 602, 1860, 2875, 2773, 540, 15980, 1164, 9344, 855, 1522, 3274, 711, 1416, 2614, 827, 2069, 547, 11851, 519, 4674, 2101, 23784, 547, 269, 11819, 2853, 602, 1764, 2542, 8404, 602, 3587, 835, 540, 519, 4128, 547, 1224, 519, 1292, 2188, 547, 2015, 950, 3246, 3903, 616, 2436, 519, 269, 9697, 3315, 560, 1615, 333, 476, 13301, 279, 268, 15389, 343, 267, 4320, 476, 1724, 267, 1100, 476, 272, 267, 476, 1001, 277, 2188, 7133, 2542, 2773, 281, 513, 1353, 540, 4359, 552, 4148, 1053, 538, 555, 16233, 585, 1910, 628, 807, 3032, 2033, 7523, 326, 7776, 563, 763, 2360, 540, 13093, 30937, 4656, 593, 519, 2542, 2773, 540, 519, 3446, 835, 10453, 630, 684, 335, 21242, 4487, 781, 5098, 264, 959, 6541, 2852, 540, 6446, 345, 517, 2749, 267, 6446, 345, 517, 2749, 269, 11790, 7133, 519, 2542, 543, 8223, 1983, 1851, 3446, 8686, 10453, 1557, 3732, 2542, 1797, 1082, 1919, 547, 1082, 1004, 621, 666, 581, 835, 540, 519, 1034, 14785, 267, 840, 21232, 566, 540, 519, 1367, 1010, 20030, 543, 1818, 621, 2009, 547, 851, 820, 540, 1797, 19017, 1995, 543, 10781, 998, 519, 6502, 269, 11790, 7700, 547, 4057, 2773, 538, 32650, 5984, 15149, 540, 2188, 267, 2773, 267, 3119, 3506, 476, 272, 4367, 3349, 476, 272, 281, 737, 322, 701, 1611, 9344, 689, 476, 1220, 276, 547, 476, 1220, 280, 269, 0, 288, 2077, 13444, 593, 1480, 2470, 18211, 13444, 281, 513, 1434, 1272, 18211, 13444, 281, 1434, 7239, 18211, 13444, 593, 519, 1434, 1272, 630, 528, 2495, 264, 540, 1480, 1272, 568, 547, 2661, 1134, 649, 798, 269, 4935, 267, 649, 1590, 2119, 547, 751, 848, 856, 513, 26363, 2626, 1759, 593, 938, 7664, 543, 1620, 540, 519, 1964, 540, 18211, 13444, 781, 2990, 609, 2463, 547, 519, 2470, 540, 2230, 519, 1448, 540, 6998, 519, 2243, 543, 16550, 606, 18211, 582, 27318, 2626, 568, 602, 621, 786, 7520, 938, 6476, 540, 519, 18211, 582, 27318, 2070, 609, 519, 2663, 1007, 2023, 1014, 543, 682, 30519, 714, 1014, 5784, 269, 634, 6323, 568, 513, 2647, 8573, 4474, 4901, 540, 3584, 602, 2221, 1131, 6140, 581, 19040, 607, 21042, 12695, 267, 971, 607, 519, 2470, 540, 1689, 267, 1757, 566, 267, 2230, 267, 942, 267, 543, 2339, 621, 7475, 609, 513, 4583, 4661, 585, 519, 6228, 540, 606, 29267, 3437, 544, 1478, 267, 513, 1373, 799, 7140, 856, 630, 514, 519, 21042, 12695, 3738, 547, 581, 18211, 13444, 781, 6697, 540, 5601, 269, 594, 264, 5635, 543, 4334, 6138, 267, 16809, 267, 543, 3069, 581, 2386, 547, 1331, 782, 540, 519, 2185, 3334, 630, 5471, 7469, 12695, 267, 26381, 1108, 267, 24936, 1108, 267, 543, 7954, 264, 950, 7234, 6138, 13797, 264, 1287, 267, 2328, 513, 3610, 262, 3009, 540, 7881, 563, 26903, 267, 2687, 547, 18211, 13444, 267, 568, 606, 6418, 6240, 540, 1689, 543, 1373, 693, 1964, 630, 874, 12695, 476, 2641, 267, 476, 4572, 321, 736, 268, 2537, 264, 713, 1797, 602, 950, 606, 11769, 7575, 610, 568, 693, 1964, 2687, 547, 922, 2470, 4704, 547, 922, 2470, 949, 4196, 607, 606, 7778, 540, 519, 2680, 649, 723, 547, 4766, 875, 23121, 1018, 6708, 267, 998, 269, 634, 4143, 5931, 616, 6323, 13797, 274, 267, 17911, 12642, 13797, 1556, 267, 543, 21042, 12695, 14668, 274, 543, 24818, 273, 1294, 849, 519, 7127, 593, 18211, 13444, 781, 2067, 6138, 543, 3296, 476, 273, 540, 519, 7127, 593, 18211, 13444, 781, 6530, 269, 2201, 7664, 267, 513, 1521, 1047, 593, 10952, 16166, 538, 2489, 267, 609, 8561, 593, 519, 3069, 543, 2079, 540, 3981, 1431, 1031, 547, 1397, 1894, 1063, 2035, 476, 274, 1991, 12642, 267, 476, 273, 2835, 593, 519, 4031, 540, 11382, 690, 2065, 7744, 543, 519, 1697, 946, 540, 519, 11382, 690, 1143, 563, 1240, 4555, 593, 5758, 540, 32189, 781, 3069, 540, 1480, 2470, 5758, 540, 18211, 13444, 781, 3069, 540, 1480, 2470, 2470, 2495, 540, 1272, 910, 562, 8811, 559, 1143, 269, 17127, 607, 6323, 630, 1492, 2257, 540, 2470, 264, 3069, 540, 3981, 1431, 593, 7664, 513, 5635, 29768, 476, 28360, 742, 642, 6323, 267, 1433, 13797, 734, 8619, 4926, 513, 269, 476, 272, 5758, 540, 21042, 12695, 676, 18211, 13444, 476, 273, 21042, 12695, 281, 1433, 676, 1433, 2079, 476, 2641, 1433, 1775, 2257, 540, 519, 3119, 3123, 666, 581, 5258, 883, 2185, 899, 538, 6323, 13797, 269, 17127, 781, 6323, 1433, 13797, 1753, 1315, 18211, 13444, 267, 1433, 13797, 267, 3184, 476, 272, 910, 2470, 568, 606, 17271, 6240, 267, 1148, 568, 16312, 13917, 538, 1433, 13797, 267, 18211, 13444, 13290, 547, 563, 288, 2077, 13444, 267, 6323, 267, 1433, 13797, 267, 1018, 2470, 568, 267, 1287, 267, 543, 519, 2495, 540, 519, 2474, 18211, 13444, 4410, 588, 29827, 781, 6280, 269, 17127, 781, 1568, 593, 6214, 267, 7881, 267, 543, 21042, 12695, 723, 1500, 1864, 835, 540, 519, 1034, 4922, 1224, 540, 519, 19967, 15806, 519, 2140, 540, 713, 1433, 267, 593, 519, 9997, 267, 568, 513, 5365, 547, 519, 5467, 602, 269, 634, 1523, 540, 2619, 657, 19674, 2066, 18211, 13444, 781, 3003, 522, 324, 12320, 516, 267, 538, 1010, 6323, 267, 21042, 12695, 267, 20116, 267, 6530, 267, 543, 7881, 1369, 891, 1568, 267, 2619, 657, 2982, 909, 609, 513, 2647, 3099, 540, 10096, 267, 971, 607, 1689, 762, 2298, 267, 4576, 267, 7553, 267, 543, 2300, 745, 857, 908, 563, 30952, 18211, 13444, 900, 2105, 32189, 781, 1062, 267, 11021, 602, 546, 1712, 8619, 1117, 571, 1683, 513, 11359, 9759, 9789, 2230, 1922, 3739, 552, 750, 2221, 781, 3638, 543, 3811, 2079, 540, 2339, 3322, 7357, 269, 589, 5758, 540, 6323, 281, 2835, 1775, 547, 17488, 538, 1412, 338, 18211, 13444, 630, 29575, 268, 27088, 27652, 264, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 18211, 13444, 630, 29575, 268, 27088, 27652, 264, 543, 1018, 621, 1797, 269, 1677, 798, 713, 568, 519, 1843, 540, 18211, 13444, 781, 6323, 267, 610, 6138, 540, 2470, 621, 568, 1271, 547, 1832, 538, 2247, 602, 519, 8574, 689, 1106, 547, 2339, 1369, 2470, 568, 513, 3350, 2509, 7475, 610, 5301, 3388, 538, 2470, 814, 922, 1439, 543, 1599, 267, 543, 4986, 568, 1510, 922, 3483, 563, 288, 2077, 13444, 630, 29575, 27652, 910, 15292, 476, 278, 267, 476, 27088, 27652, 264, 729, 606, 3504, 19967, 14544, 267, 2875, 540, 32189, 543, 4116, 540, 32406, 6387, 519, 1390, 646, 5206, 1082, 2835, 827, 6323, 267, 6965, 267, 18186, 1108, 267, 7954, 267, 20116, 267, 2229, 267, 543, 7350, 269, 8422, 1808, 2934, 540, 713, 7664, 616, 519, 1739, 281, 630, 328, 264, 606, 2079, 540, 519, 11984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 789, 2877, 6667, 1862, 663, 789, 1336, 621, 1247, 3168, 5702, 693, 3165, 7633, 2439, 293, 880, 7729, 30416, 723, 6946, 5546, 1572, 943, 22690, 582, 9471, 3303, 1023, 267, 799, 616, 849, 2938, 538, 12566, 322, 821, 543, 30011, 12417, 269, 1452, 6272, 1246, 513, 6310, 5311, 1634, 607, 519, 25828, 5311, 269, 2052, 596, 7058, 875, 519, 5311, 4422, 286, 2913, 781, 1265, 856, 1384, 265, 1403, 649, 1376, 10203, 609, 476, 271, 543, 476, 272, 267, 938, 1985, 2338, 2097, 689, 4946, 519, 3105, 1079, 281, 476, 271, 1341, 476, 272, 815, 476, 272, 267, 1287, 476, 272, 1341, 476, 272, 815, 476, 273, 267, 4553, 676, 476, 272, 1341, 476, 273, 815, 476, 274, 267, 543, 865, 593, 269, 1284, 1205, 281, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 3267, 2608, 29055, 569, 267, 2470, 3096, 713, 1482, 4806, 10876, 267, 1519, 538, 2371, 267, 16115, 267, 543, 1256, 15270, 2439, 3086, 1394, 547, 938, 1650, 281, 4635, 2592, 3144, 693, 519, 5348, 577, 8527, 1258, 267, 14639, 4149, 2946, 30807, 1329, 2813, 4190, 476, 274, 291, 3631, 15386, 519, 10875, 3889, 6456, 1369, 3165, 7633, 269, 1635, 8220, 519, 15956, 1063, 519, 25828, 5311, 543, 891, 1950, 3029, 267, 646, 12006, 519, 10103, 1063, 6128, 267, 2470, 267, 543, 1148, 269, 3571, 3803, 20100, 2451, 1004, 27086, 676, 519, 31305, 1158, 4478, 721, 1169, 1554, 780, 7336, 2610, 11314, 1384, 4131, 781, 2119, 5373, 938, 1378, 4528, 540, 513, 18700, 1759, 593, 519, 25828, 5311, 269, 1411, 666, 798, 713, 3362, 676, 1739, 891, 3268, 1384, 272, 269, 8571, 10945, 2427, 676, 2427, 267, 4358, 609, 835, 4009, 1500, 909, 540, 513, 2582, 1804, 4009, 269, 3973, 1039, 4130, 10945, 2687, 547, 519, 25828, 5311, 630, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 1040, 2659, 1374, 1058, 1413, 899, 25047, 3268, 563, 273, 269, 8921, 267, 2721, 10116, 10580, 3330, 1142, 4009, 267, 1818, 2386, 547, 6443, 873, 12347, 693, 519, 15174, 269, 901, 5932, 513, 3126, 540, 4448, 9095, 338, 8108, 513, 18700, 563, 274, 269, 7822, 707, 5137, 543, 2671, 621, 609, 2828, 267, 1920, 267, 610, 15032, 269, 9181, 519, 4296, 1063, 2979, 267, 2470, 267, 543, 1148, 780, 8855, 267, 3006, 9035, 2253, 609, 7279, 543, 1291, 721, 1524, 6397, 10092, 269, 3807, 899, 14639, 4149, 2946, 30807, 1329, 543, 3220, 269, 8738, 4206, 1752, 4149, 6590, 548, 4362, 267, 5698, 1063, 10459, 10741, 9885, 547, 6909, 4681, 269, 5901, 3695, 543, 2972, 1565, 827, 519, 4241, 6402, 1063, 1148, 543, 2257, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 1478, 532, 713, 1148, 4882, 857, 4062, 538, 32527, 520, 3832, 9774, 9863, 547, 581, 606, 7045, 602, 3366, 689, 606, 12105, 29489, 538, 32527, 520, 3832, 9774, 547, 519, 8225, 8752, 11905, 547, 476, 274, 291, 3631, 543, 3165, 547, 5762, 1023, 543, 25828, 9696, 547, 513, 2605, 753, 2532, 12251, 3381, 7376, 543, 9380, 528, 543, 547, 1454, 811, 563, 28275, 689, 519, 1439, 267, 972, 779, 713, 267, 8170, 1576, 267, 621, 779, 3181, 23534, 607, 547, 2436, 713, 3239, 1223, 2731, 581, 4330, 607, 519, 1439, 540, 4376, 2523, 2094, 621, 779, 26159, 12105, 7350, 269, 630, 763, 1267, 540, 606, 1148, 4882, 857, 1788, 267, 519, 3239, 568, 689, 519, 4989, 476, 1001, 278, 14266, 267, 968, 291, 753, 3288, 12379, 675, 1315, 10738, 12763, 2223, 676, 14639, 4149, 2946, 30807, 1329, 717, 2246, 327, 1512, 267, 543, 729, 18799, 676, 519, 2160, 540, 32527, 520, 3832, 9774, 5441, 540, 8551, 543, 3163, 693, 741, 23583, 590, 6773, 326, 17311, 20155, 8094, 22818, 621, 1131, 581, 1732, 547, 4766, 621, 607, 519, 1439, 540, 519, 4098, 799, 3323, 950, 717, 2246, 327, 1512, 630, 15367, 8910, 1044, 593, 513, 4663, 540, 519, 9744, 264, 11540, 513, 1289, 585, 10196, 3523, 2209, 538, 513, 8225, 8752, 11905, 630, 27675, 577, 8527, 1258, 264, 20394, 269, 3245, 606, 5239, 476, 1001, 278, 2376, 676, 8210, 514, 1160, 1087, 518, 6441, 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, 634, 8738, 940, 540, 6115, 667, 5861, 1421, 799, 3576, 1747, 593, 4864, 476, 2190, 267, 476, 8687, 275, 267, 1282, 519, 2782, 540, 476, 8687, 273, 1063, 519, 2136, 2276, 543, 4279, 6628, 267, 3788, 513, 1713, 2680, 538, 1977, 1686, 269, 901, 3296, 786, 2263, 519, 3123, 543, 4539, 540, 713, 4655, 267, 5373, 4296, 547, 4207, 2152, 543, 4143, 14172, 780, 25889, 543, 15486, 454, 763, 8129, 540, 519, 2782, 540, 476, 8687, 273, 666, 581, 14360, 1394, 547, 1896, 2188, 267, 1519, 4123, 13882, 267, 23666, 618, 540, 1977, 25501, 883, 3703, 3028, 267, 543, 796, 637, 9407, 13253, 31827, 689, 519, 21829, 2782, 269, 1306, 9400, 14986, 630, 288, 261, 306, 1412, 7871, 264, 4967, 538, 1010, 960, 593, 3983, 10350, 543, 13313, 267, 7526, 1419, 8451, 1813, 547, 513, 1950, 16799, 540, 3140, 20494, 341, 1734, 543, 2797, 4690, 269, 6684, 267, 519, 2782, 540, 476, 8687, 273, 8507, 689, 32618, 22195, 602, 941, 28978, 676, 13346, 1379, 6384, 538, 2342, 780, 1103, 1880, 267, 519, 16486, 4577, 12668, 2813, 2591, 585, 9243, 6082, 899, 519, 2136, 2276, 267, 945, 1336, 2933, 9575, 1063, 3943, 543, 3703, 17189, 3625, 3547, 269, 5637, 7060, 8179, 547, 6615, 772, 2529, 269, 4123, 609, 741, 14763, 267, 3056, 547, 2799, 8082, 543, 1918, 13920, 269, 5015, 267, 519, 9576, 13108, 781, 2259, 540, 16069, 1977, 9635, 543, 16550, 9378, 523, 16143, 540, 1373, 3703, 964, 518, 1562, 883, 3028, 1102, 584, 7007, 1082, 4892, 269, 1452, 17535, 4145, 8329, 3648, 547, 519, 12176, 540, 2112, 538, 476, 8687, 273, 780, 289, 9506, 540, 6115, 667, 5861, 12727, 1323, 5811, 454, 4002, 4864, 476, 2190, 267, 476, 8687, 275, 267, 1310, 9396, 908, 1977, 4229, 693, 2349, 611, 839, 7921, 267, 15930, 267, 3703, 10136, 896, 4937, 7917, 17664, 9411, 6115, 667, 5861, 269, 1133, 641, 12723, 267, 789, 8399, 539, 547, 6633, 3875, 2229, 5656, 267, 1519, 519, 6519, 5600, 267, 7167, 20738, 8490, 267, 543, 27308, 4972, 269, 2755, 930, 8044, 602, 519, 9552, 729, 1427, 531, 2747, 585, 3105, 1977, 6285, 593, 8225, 3037, 267, 1866, 25077, 621, 10630, 6626, 7580, 3853, 6322, 693, 14944, 1456, 1977, 27907, 543, 8207, 780, 1607, 12558, 8711, 519, 2956, 540, 4108, 4640, 543, 3375, 6194, 538, 2053, 540, 4655, 269, 10313, 762, 3871, 666, 581, 2938, 2429, 1686, 267, 971, 607, 519, 26645, 540, 23421, 23320, 1282, 2622, 2782, 4083, 610, 519, 12289, 540, 12925, 538, 476, 1220, 274, 269, 3962, 3236, 9727, 875, 3533, 2621, 666, 15583, 622, 267, 4611, 538, 14042, 4539, 585, 782, 6105, 3238, 780, 28757, 25684, 543, 18623, 1222, 454, 9213, 267, 2055, 4478, 2112, 543, 922, 1764, 3136, 547, 20441, 24657, 543, 4081, 11407, 269, 1280, 1383, 267, 7917, 661, 269, 13391, 839, 577, 630, 288, 261, 306, 1412, 6872, 1070, 998, 1010, 960, 609, 519, 3486, 13629, 2872, 267, 814, 15091, 519, 991, 585, 2312, 2792, 9055, 1282, 29053, 269, 13229, 23425, 540, 1344, 5849, 1857, 4656, 543, 6278, 267, 7175, 5483, 3664, 827, 6927, 540, 3084, 3354, 780, 11101, 267, 2123, 6386, 267, 899, 1346, 3838, 676, 2904, 518, 631, 269, 15576, 345, 630, 288, 261, 306, 1412, 6812, 264, 593, 519, 32282, 3126, 834, 2171, 3513, 20821, 11088, 2437, 1683, 3407, 4030, 883, 1367, 2833, 540, 13137, 269, 1635, 6313, 891, 2984, 7258, 3677, 3140, 8658, 267, 5640, 666, 1732, 1174, 1312, 519, 7104, 543, 2123, 5222, 540, 11439, 4655, 269, 6270, 1382, 849, 19156, 519, 11972, 4644, 540, 1480, 8116, 1369, 9583, 791, 5966, 23786, 3157, 780, 6962, 454, 763, 8781, 540, 6115, 667, 5861, 269, 5713, 607, 513, 14984, 12576, 540, 519, 2484, 23568, 2360, 540, 2112, 269, 3414, 2565, 6514, 540, 2250, 2621, 267, 4207, 19320, 267, 543, 5969, 12967, 14046, 5380, 267, 1053, 666, 15052, 741, 8223, 540, 713, 2629, 1974, 538, 1977, 1686, 1247, 3384, 4483, 571, 1076, 10763, 1983, 10858, 2066, 1585, 10459, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 32178, 14986, 267, 589, 261, 306, 1412, 7871, 267, 1071, 22052, 23482, 609, 595, 18974, 3212, 858, 518, 14068, 26291, 543, 4856, 8306, 267, 3370, 676, 6022, 6588, 557, 5839, 17524, 534, 538, 5147, 476, 1001, 279, 269, 634, 1433, 781, 2079, 3357, 689, 3732, 12220, 540, 476, 11260, 267, 1822, 1004, 538, 476, 10219, 2477, 269, 14986, 1463, 338, 519, 10418, 585, 519, 5530, 540, 5398, 8889, 693, 519, 2160, 540, 5899, 987, 322, 569, 1372, 538, 29161, 267, 10430, 563, 27144, 661, 269, 13391, 839, 577, 267, 589, 261, 306, 1412, 6872, 267, 540, 13391, 839, 577, 4139, 6828, 267, 4843, 513, 3318, 2069, 1982, 585, 519, 3486, 13629, 2872, 11331, 834, 15648, 267, 4793, 757, 543, 570, 2784, 655, 10225, 585, 7913, 14539, 257, 538, 2904, 476, 1001, 279, 547, 811, 982, 476, 11740, 5171, 538, 29258, 543, 4843, 519, 834, 1001, 279, 19739, 289, 293, 4139, 7913, 14539, 17072, 257, 538, 19864, 269, 13391, 839, 577, 9976, 1010, 476, 10019, 628, 14512, 538, 5181, 563, 300, 9707, 631, 269, 15576, 345, 267, 589, 261, 306, 1412, 6812, 267, 513, 15466, 18874, 609, 27392, 2041, 966, 6018, 538, 26609, 267, 729, 12286, 593, 519, 32282, 3126, 1284, 3513, 20821, 11088, 267, 1141, 646, 556, 8588, 609, 513, 17199, 4171, 1272, 646, 10710, 950, 2324, 538, 513, 16353, 8136, 13880, 673, 11233, 1282, 519, 10476, 2782, 269, 769, 1840, 267, 513, 8666, 540, 15576, 345, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 12668, 1299, 4762, 26555, 1315, 2782, 540, 476, 8687, 273, 1315, 8738, 940, 540, 6115, 667, 5861, 907, 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, 898, 729, 519, 4832, 540, 1412, 6924, 267, 543, 519, 2011, 729, 5394, 609, 1689, 269, 634, 10476, 2782, 986, 3022, 18246, 267, 855, 1934, 693, 1753, 267, 1762, 1004, 941, 4098, 547, 2243, 519, 4567, 28943, 269, 769, 513, 1507, 6995, 6300, 512, 26786, 2476, 538, 5682, 16049, 22810, 267, 513, 1895, 540, 2828, 10356, 1472, 513, 3349, 1792, 1233, 609, 8900, 11680, 543, 24492, 532, 607, 6255, 7590, 780, 257, 2791, 917, 1018, 594, 1810, 1405, 1205, 8119, 4280, 12756, 267, 1200, 4064, 6505, 609, 10761, 269, 834, 3963, 798, 649, 723, 547, 2661, 938, 2729, 2687, 547, 2576, 3116, 781, 7097, 286, 4208, 666, 1405, 649, 1118, 909, 938, 1378, 3652, 12482, 297, 574, 267, 945, 2141, 8604, 547, 723, 513, 16906, 3880, 1782, 3348, 926, 3585, 689, 1010, 17534, 267, 10709, 539, 1394, 538, 1010, 11381, 543, 3576, 513, 1279, 8749, 1354, 16460, 269, 834, 6546, 781, 4010, 1018, 519, 2142, 1846, 1705, 267, 596, 917, 2437, 646, 1767, 269, 834, 5445, 4769, 1405, 2285, 513, 2481, 333, 827, 14908, 610, 6788, 269, 1358, 5206, 8726, 789, 4941, 267, 2705, 789, 4941, 3010, 306, 4673, 267, 4171, 1279, 4552, 22107, 12184, 1524, 1200, 17525, 899, 513, 1216, 6420, 540, 4154, 267, 21330, 538, 6876, 269, 834, 4517, 1413, 693, 1141, 621, 3893, 873, 2437, 1352, 1767, 269, 834, 5445, 6273, 606, 3003, 5108, 547, 1589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 8333, 2153, 11711, 7089, 281, 476, 9826, 268, 27844, 4029, 454, 291, 5357, 289, 312, 700, 5723, 3036, 2969, 3036, 22494, 267, 5442, 290, 563, 263, 2750, 716, 2012, 540, 7373, 7949, 607, 9138, 538, 922, 22497, 994, 347, 263, 13750, 610, 824, 16278, 540, 25465, 610, 3919, 10534, 263, 296, 10611, 2529, 269, 14146, 518, 22384, 3143, 4700, 2008, 347, 14096, 276, 10369, 9335, 1475, 26596, 12770, 1475, 30210, 1475, 280, 6078, 6734, 268, 15221, 271, 2008, 347, 263, 11754, 816, 540, 9030, 10324, 13646, 10534, 263, 313, 760, 8943, 10245, 8802, 626, 7949, 781, 15146, 1297, 267, 1519, 1858, 3009, 454, 16085, 1815, 20914, 10805, 5083, 340, 656, 547, 8791, 476, 1321, 6357, 264, 540, 519, 2920, 281, 2008, 347, 17138, 540, 1142, 1362, 1475, 307, 15665, 13507, 4433, 10534, 11243, 540, 1142, 5385, 593, 799, 10805, 2008, 347, 12218, 589, 1455, 6006, 267, 1269, 271, 269, 9826, 1612, 1871, 1475, 13036, 289, 1475, 763, 1715, 3840, 14351, 16510, 2008, 16085, 1815, 20914, 10805, 5083, 340, 656, 547, 8791, 476, 1321, 14116, 264, 540, 519, 2920, 281, 2008, 347, 17138, 540, 552, 659, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28398, 338, 9796, 762, 28290, 257, 607, 851, 540, 834, 28035, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 19098, 1299, 16010, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 11059, 681, 1506, 6996, 910, 30459, 11873, 883, 19565, 11470, 543, 12502, 2044, 681, 1506, 6996, 692, 7072, 692, 1103, 2221, 781, 3728, 19550, 1158, 267, 621, 814, 1831, 5051, 1271, 547, 4497, 1762, 1453, 538, 7924, 2238, 602, 3180, 741, 3007, 1247, 849, 5009, 2168, 1646, 269, 2290, 5499, 1935, 11543, 8560, 1851, 7855, 543, 3237, 7567, 568, 6220, 2962, 30053, 883, 11174, 5708, 543, 21543, 30053, 269, 1635, 9256, 24754, 1893, 609, 3350, 267, 891, 2502, 18627, 2709, 3875, 2640, 585, 5042, 267, 10409, 267, 1514, 267, 3929, 267, 543, 5179, 5578, 1646, 269, 901, 3184, 12538, 883, 519, 1523, 540, 2962, 30053, 1369, 519, 2796, 540, 11174, 5708, 267, 4481, 2519, 593, 21543, 30053, 269, 3414, 2143, 3137, 267, 4052, 3156, 267, 1382, 4681, 267, 543, 1655, 2853, 267, 6267, 786, 2744, 513, 4396, 5748, 538, 7598, 2962, 30053, 3927, 538, 3872, 5468, 610, 2123, 4205, 609, 1762, 1453, 780, 4089, 476, 272, 281, 4197, 11059, 681, 1506, 6996, 692, 2414, 2253, 938, 3460, 883, 2962, 30053, 267, 649, 1590, 3715, 513, 2312, 4214, 540, 1018, 789, 27167, 269, 2311, 922, 4295, 267, 606, 2962, 22565, 10905, 1913, 630, 21865, 1305, 547, 2575, 264, 609, 3483, 995, 5322, 2966, 547, 3986, 2495, 543, 6278, 269, 1452, 30053, 3335, 4125, 2241, 16625, 3270, 267, 1818, 873, 3015, 543, 11791, 585, 1762, 9458, 269, 634, 946, 540, 6952, 344, 26107, 543, 17267, 2337, 2087, 3965, 12802, 267, 7512, 7589, 267, 543, 11942, 513, 2631, 540, 2146, 1851, 5171, 269, 5015, 267, 676, 10128, 3527, 883, 2757, 21543, 30053, 267, 7855, 543, 15637, 666, 1711, 6422, 1565, 2833, 602, 8597, 547, 1585, 1565, 6163, 543, 7375, 780, 4089, 476, 273, 281, 11588, 540, 4635, 11059, 681, 1506, 6996, 538, 19565, 11470, 692, 10932, 9846, 7028, 519, 10206, 602, 3742, 9525, 538, 1650, 5503, 5012, 547, 4824, 7924, 4093, 269, 1879, 1453, 9308, 2170, 609, 2984, 267, 789, 1628, 4296, 1063, 11913, 543, 26068, 2792, 267, 799, 10597, 2949, 8223, 269, 13018, 267, 1210, 2962, 30053, 3091, 1896, 5383, 267, 1519, 1384, 272, 269, 15465, 4886, 281, 12056, 2789, 12823, 1282, 1650, 5503, 8992, 8849, 29010, 267, 3850, 585, 811, 7347, 1344, 4393, 543, 4859, 269, 1306, 1453, 8362, 7119, 538, 2962, 30053, 267, 789, 7794, 741, 2702, 547, 1445, 267, 3314, 3877, 267, 543, 4194, 2042, 563, 273, 269, 5678, 21733, 9974, 281, 22452, 547, 3638, 6863, 5036, 267, 6586, 2719, 3270, 267, 543, 22150, 3889, 1336, 538, 2962, 30053, 8309, 3648, 547, 2038, 1893, 11601, 269, 5047, 267, 519, 5711, 2470, 540, 891, 30053, 2636, 585, 2067, 12332, 2259, 543, 13093, 1670, 4656, 2866, 563, 274, 269, 4317, 19983, 281, 12160, 2218, 13465, 543, 15472, 5000, 5698, 267, 6568, 267, 543, 2490, 23824, 1983, 269, 8479, 1453, 945, 5781, 4497, 538, 1895, 2962, 30053, 1419, 4159, 2799, 1582, 21873, 267, 7682, 4369, 267, 543, 9316, 563, 275, 269, 16508, 20309, 281, 3509, 21543, 30053, 2270, 4798, 540, 7772, 267, 28194, 267, 4250, 267, 10845, 267, 543, 9983, 1107, 782, 8471, 4664, 4810, 2429, 1272, 269, 4935, 267, 10962, 2962, 30053, 2488, 3255, 585, 1453, 547, 2263, 1950, 4606, 9108, 543, 1072, 1176, 563, 276, 269, 16359, 31853, 28389, 618, 281, 23889, 14407, 543, 5386, 5179, 5322, 883, 1650, 5503, 6087, 1762, 1453, 547, 13217, 11558, 267, 3666, 267, 543, 32609, 614, 640, 269, 1280, 1383, 267, 804, 6260, 3946, 267, 17259, 3952, 267, 610, 22392, 1507, 605, 1186, 782, 3565, 547, 3384, 2085, 29003, 5179, 5759, 780, 4089, 476, 274, 281, 20074, 11059, 681, 1506, 6996, 538, 12409, 23994, 692, 3086, 602, 649, 1174, 519, 1761, 1764, 540, 2962, 30053, 593, 1126, 1646, 267, 1577, 721, 1865, 2994, 585, 2500, 6388, 538, 4928, 610, 5399, 5468, 269, 5901, 538, 2247, 602, 8112, 543, 13916, 2611, 1883, 3334, 950, 2324, 609, 3309, 2516, 540, 6267, 269, 6333, 519, 1739, 10372, 1384, 272, 269, 7994, 6520, 5025, 653, 12037, 12474, 281, 8564, 30053, 14018, 585, 519, 11095, 1377, 540, 707, 5304, 269, 11822, 267, 1134, 8153, 30053, 899, 834, 23562, 30257, 3828, 30257, 9741, 10060, 2437, 834, 21132, 344, 645, 1080, 344, 30064, 2437, 610, 834, 23175, 9701, 619, 918, 928, 525, 543, 1677, 525, 257, 4196, 607, 5140, 4358, 2798, 269, 26431, 6338, 811, 1950, 5931, 607, 1453, 1332, 4587, 543, 10536, 1007, 1983, 563, 273, 269, 29130, 1160, 1186, 543, 10439, 589, 1749, 281, 22982, 10077, 1407, 267, 11084, 267, 12470, 1115, 267, 610, 824, 3308, 10291, 547, 10802, 519, 1995, 2417, 269, 3502, 1152, 798, 891, 3688, 7001, 3007, 267, 855, 789, 849, 1683, 15889, 8100, 585, 7493, 2035, 4843, 538, 519, 22565, 563, 274, 269, 7844, 30785, 10263, 281, 23227, 622, 2953, 14302, 267, 23972, 11056, 267, 543, 13047, 1102, 3005, 1354, 24584, 1453, 547, 1246, 2059, 269, 20644, 5583, 543, 1489, 607, 2877, 267, 4180, 1169, 16045, 7959, 6899, 11836, 538, 563, 275, 269, 11559, 3115, 564, 819, 281, 15901, 908, 5432, 30053, 25040, 1565, 543, 13976, 6015, 269, 3683, 942, 267, 1453, 949, 1256, 20006, 5172, 8964, 10446, 267, 15386, 17117, 540, 1312, 1893, 543, 5179, 1983, 563, 276, 269, 23340, 27065, 281, 14190, 2230, 585, 27906, 5314, 543, 9542, 269, 12833, 924, 1453, 547, 2303, 4244, 5322, 267, 12189, 18405, 267, 610, 6427, 3312, 30053, 1759, 593, 741, 4690, 543, 2833, 780, 6962, 692, 3528, 3695, 519, 7706, 540, 2962, 30053, 1369, 11174, 5708, 267, 3226, 21543, 30053, 267, 7855, 543, 15637, 16491, 2933, 609, 3532, 2645, 585, 14637, 11455, 2208, 543, 1646, 538, 1762, 1453, 269, 4498, 1145, 532, 519, 5916, 1379, 540, 1893, 543, 5163, 5932, 15138, 1565, 5054, 1141, 3214, 8853, 27268, 267, 13998, 267, 14156, 267, 543, 9308, 269, 1924, 979, 6619, 1107, 4685, 883, 519, 17175, 1158, 540, 2962, 30053, 543, 7198, 519, 13710, 2360, 593, 707, 2370, 6267, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 547, 10925, 593, 513, 9085, 16635, 454, 763, 5177, 568, 4583, 585, 922, 5339, 15976, 269, 1284, 616, 18822, 547, 723, 6131, 1004, 543, 14540, 609, 519, 6612, 543, 1379, 547, 3142, 4589, 543, 3988, 1927, 998, 513, 3838, 2648, 540, 519, 2854, 543, 9275, 2262, 563, 2252, 596, 4076, 2479, 13984, 513, 3332, 13037, 543, 1044, 6273, 547, 2196, 707, 1378, 2680, 267, 1287, 713, 3391, 786, 948, 1491, 596, 689, 10612, 5326, 547, 4641, 563, 4415, 3964, 5993, 3332, 15976, 971, 607, 25470, 4139, 3883, 16635, 267, 15917, 16635, 543, 595, 3559, 1084, 5069, 9085, 16635, 267, 519, 2462, 2243, 568, 875, 616, 596, 2469, 547, 1118, 707, 1433, 13037, 1796, 856, 538, 519, 15624, 888, 5522, 8911, 513, 3332, 13037, 454, 5522, 8911, 513, 1433, 13037, 666, 1491, 4374, 267, 3275, 543, 1256, 1296, 538, 930, 2665, 269, 1403, 713, 568, 707, 1101, 1032, 267, 519, 3476, 596, 723, 547, 1544, 519, 1732, 256, 5213, 1406, 1577, 2110, 21852, 8423, 704, 519, 1967, 543, 5876, 540, 707, 2680, 563, 8005, 568, 707, 1433, 13037, 585, 888, 7212, 972, 616, 513, 1297, 540, 3811, 3332, 15976, 6322, 693, 513, 1179, 604, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 794, 681, 1506, 6996, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12502, 2044, 681, 1506, 6996, 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, 272, 281, 4197, 3776, 7073, 2622, 692, 1103, 938, 1950, 543, 6385, 4657, 1158, 267, 621, 781, 1898, 547, 1451, 827, 1585, 3344, 602, 3310, 938, 3232, 2729, 269, 901, 3184, 786, 6338, 930, 2565, 2152, 7133, 721, 2221, 267, 2519, 593, 9297, 267, 6214, 267, 543, 2123, 8804, 269, 2755, 891, 3584, 1522, 3280, 25254, 693, 1101, 267, 649, 9153, 547, 2736, 873, 1524, 883, 11116, 13355, 4773, 1210, 11541, 1806, 543, 2653, 3562, 268, 16187, 1893, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 4089, 476, 272, 281, 19484, 519, 7073, 11135, 7615, 692, 5978, 2413, 1158, 8188, 3875, 2591, 267, 1175, 899, 875, 20679, 3068, 12959, 538, 513, 1483, 25071, 269, 2913, 781, 2263, 2185, 1883, 2127, 1141, 7526, 1419, 8451, 281, 856, 6361, 20820, 4031, 7057, 267, 11376, 730, 6608, 267, 14027, 25847, 267, 543, 1202, 2033, 936, 30625, 780, 288, 269, 14840, 12537, 16572, 7057, 454, 5970, 596, 4862, 519, 8360, 834, 306, 826, 803, 10590, 1354, 286, 898, 1797, 2576, 546, 4100, 1866, 547, 1491, 3656, 2962, 1996, 873, 1317, 789, 3494, 4986, 3983, 786, 2097, 856, 540, 621, 269, 4653, 267, 3013, 814, 811, 17864, 982, 1022, 824, 4182, 20196, 781, 513, 2603, 540, 1761, 5480, 2665, 256, 5994, 952, 1169, 2875, 538, 707, 1362, 4956, 547, 647, 324, 1142, 824, 282, 1919, 1131, 1205, 30255, 3533, 269, 2334, 781, 1018, 4523, 950, 972, 616, 1932, 1082, 4031, 7057, 281, 2200, 6170, 8165, 538, 10470, 1223, 723, 1044, 1031, 11992, 267, 971, 607, 2679, 3506, 267, 11614, 267, 610, 10506, 780, 289, 269, 5890, 21505, 22749, 454, 294, 4261, 906, 1404, 513, 2629, 1909, 538, 4509, 1931, 267, 3246, 2533, 267, 543, 7863, 4961, 269, 1717, 267, 3006, 6608, 1332, 1932, 1804, 543, 8532, 811, 2200, 982, 2556, 269, 6056, 540, 713, 3510, 899, 2348, 513, 7372, 4677, 2407, 540, 4190, 2371, 855, 1100, 4055, 2451, 547, 2030, 1007, 5452, 610, 1256, 3802, 1472, 20354, 269, 1879, 513, 2229, 3587, 11376, 730, 267, 621, 3217, 2476, 942, 267, 1648, 267, 543, 2724, 2877, 676, 3885, 267, 4213, 267, 543, 2950, 780, 290, 269, 11511, 9429, 4317, 1143, 454, 5331, 4687, 3388, 8449, 1851, 782, 707, 2828, 267, 7488, 540, 945, 5249, 23698, 610, 8329, 519, 1034, 269, 16319, 4023, 267, 1318, 286, 1809, 1018, 952, 2576, 6238, 2921, 5413, 540, 713, 1062, 286, 2107, 8338, 2943, 267, 13515, 2324, 15587, 1247, 1869, 11981, 519, 1482, 2640, 286, 1452, 616, 930, 4145, 4478, 25847, 12544, 2797, 16809, 10771, 7104, 9562, 543, 3160, 3892, 540, 5763, 269, 4014, 24180, 3741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2303, 513, 2601, 585, 454, 1492, 2530, 538, 2597, 888, 1103, 1931, 547, 32432, 519, 4154, 15022, 3512, 267, 621, 568, 454, 1729, 581, 1019, 5529, 883, 513, 5277, 1572, 6864, 320, 1036, 807, 630, 320, 7848, 540, 8652, 18608, 545, 3679, 454, 663, 6491, 878, 3679, 1040, 2201, 3478, 15702, 538, 519, 1604, 540, 6864, 320, 1036, 807, 267, 519, 454, 537, 614, 4494, 540, 4154, 4744, 11510, 543, 606, 6418, 21743, 4494, 2408, 269, 634, 4744, 6295, 454, 1993, 519, 4494, 3123, 513, 5786, 538, 519, 2597, 540, 519, 9925, 749, 2044, 269, 0, 288, 4158, 2427, 540, 8103, 19674, 1369, 519, 15730, 8695, 269, 32438, 540, 9810, 543, 1973, 8915, 538, 519, 8695, 685, 8186, 1317, 540, 519, 968, 2041, 770, 773, 1848, 634, 4250, 602, 519, 8695, 685, 1995, 814, 5540, 519, 1367, 3197, 607, 1134, 607, 519, 3003, 1895, 269, 1323, 1383, 540, 4250, 16765, 1136, 4641, 568, 519, 7237, 609, 519, 4666, 1612, 520, 549, 6016, 267, 968, 4002, 519, 4410, 5593, 641, 519, 1612, 778, 1393, 4904, 543, 6410, 282, 519, 4137, 1793, 573, 267, 9782, 547, 922, 3952, 267, 838, 684, 2220, 26359, 1472, 267, 9991, 1869, 9991, 621, 521, 1678, 547, 519, 11824, 543, 519, 8695, 32357, 3458, 5446, 883, 14334, 892, 630, 294, 13783, 476, 14631, 1040, 634, 1383, 540, 519, 4666, 1612, 520, 549, 6016, 9727, 519, 8695, 685, 17418, 547, 9794, 4641, 689, 2887, 2329, 282, 15603, 741, 12194, 16765, 820, 873, 269, 634, 8695, 1705, 711, 6166, 602, 519, 4137, 729, 513, 1016, 16058, 1373, 855, 10924, 602, 519, 4137, 729, 513, 28458, 563, 293, 792, 538, 7083, 540, 519, 4469, 625, 769, 519, 3209, 519, 7083, 540, 519, 4469, 625, 267, 2854, 676, 5261, 7108, 532, 267, 4250, 568, 519, 2014, 540, 782, 540, 519, 2042, 602, 1491, 1747, 593, 519, 6532, 269, 2311, 1101, 267, 519, 6532, 568, 2219, 547, 581, 26672, 573, 543, 513, 27032, 267, 855, 607, 519, 8695, 262, 3251, 593, 519, 6532, 4679, 267, 865, 267, 1932, 267, 798, 741, 12194, 269, 634, 8695, 4166, 1831, 12922, 540, 1142, 824, 543, 4166, 1310, 602, 519, 8695, 2736, 909, 543, 4339, 1317, 540, 519, 4250, 269, 634, 8695, 262, 3312, 12194, 616, 540, 1018, 789, 1589, 616, 581, 6814, 269, 834, 10190, 1004, 3323, 3478, 19225, 2989, 257, 630, 294, 13783, 267, 476, 6434, 1916, 763, 8695, 723, 1044, 12922, 540, 519, 28458, 543, 789, 1131, 798, 4376, 547, 2149, 2933, 689, 621, 269, 17363, 19674, 689, 519, 4104, 543, 519, 8695, 616, 31604, 602, 519, 28458, 568, 17363, 269, 6736, 875, 2673, 17363, 729, 547, 519, 8695, 267, 646, 729, 1869, 14324, 543, 678, 5792, 6306, 676, 782, 540, 873, 1317, 789, 941, 782, 4299, 676, 4250, 269, 8625, 519, 8695, 669, 656, 267, 968, 8072, 298, 650, 519, 28458, 256, 12338, 1010, 11563, 2336, 3080, 540, 519, 1292, 6698, 540, 10340, 543, 1931, 666, 581, 1336, 538, 519, 1230, 577, 269, 1306, 513, 4341, 693, 11401, 519, 8695, 2877, 547, 723, 519, 1230, 577, 538, 1931, 547, 3717, 547, 519, 1895, 269, 21824, 568, 849, 513, 1292, 6249, 538, 713, 3209, 269, 17363, 568, 7166, 1317, 540, 519, 4250, 540, 519, 28458, 269, 634, 13581, 652, 4250, 3361, 11784, 1851, 519, 8695, 543, 838, 684, 519, 1507, 14316, 856, 540, 1852, 7551, 4929, 25453, 547, 6336, 1379, 563, 19365, 7108, 532, 3096, 519, 834, 2041, 770, 257, 547, 2132, 519, 8695, 540, 519, 6532, 547, 741, 2215, 531, 26756, 267, 7700, 547, 1010, 16555, 593, 1480, 2470, 269, 634, 28458, 23327, 519, 3395, 4250, 602, 6013, 26862, 267, 2620, 538, 519, 1453, 779, 20339, 543, 7140, 519, 8695, 883, 4608, 2753, 1242, 7919, 269, 5261, 7108, 532, 3096, 519, 28458, 547, 1128, 650, 4250, 538, 519, 20339, 540, 519, 8695, 269, 2755, 3025, 568, 18901, 540, 519, 28458, 543, 15819, 1018, 621, 4010, 568, 267, 17363, 5267, 1945, 3116, 269, 1261, 23216, 609, 3025, 602, 519, 28458, 1522, 1175, 2291, 563, 303, 580, 4445, 13290, 547, 13889, 602, 621, 1281, 711, 1256, 2291, 543, 4422, 593, 547, 1217, 16764, 789, 616, 26390, 3215, 543, 21173, 952, 789, 1256, 2808, 18468, 519, 19920, 269, 769, 519, 29291, 17363, 814, 513, 2484, 4625, 1114, 1544, 950, 621, 2501, 547, 519, 6228, 540, 713, 20599, 610, 15293, 543, 3081, 267, 834, 1432, 594, 1611, 568, 267, 5310, 621, 1862, 3267, 1647, 540, 1957, 3267, 10371, 1848, 814, 9867, 6698, 540, 7664, 538, 2474, 540, 2495, 269, 634, 5856, 3096, 519, 28458, 607, 606, 30118, 540, 5260, 698, 2044, 538, 519, 3640, 269, 10738, 519, 3640, 540, 19920, 267, 1034, 540, 873, 15475, 789, 1294, 513, 20599, 610, 13442, 540, 930, 1826, 267, 2705, 607, 519, 3209, 4422, 593, 519, 3988, 5469, 602, 519, 19920, 616, 9003, 2625, 532, 585, 741, 6418, 28458, 269, 1306, 1931, 7106, 8986, 267, 5208, 543, 2215, 531, 15859, 2253, 547, 2154, 936, 519, 1480, 2247, 267, 543, 4352, 519, 968, 2041, 7360, 892, 949, 581, 513, 14745, 540, 602, 3395, 20882, 602, 8761, 741, 6418, 5260, 698, 8864, 563, 296, 6557, 851, 540, 596, 286, 19171, 267, 2673, 267, 2673, 256, 594, 6557, 519, 2601, 1946, 621, 779, 1100, 979, 286, 4208, 1919, 616, 1018, 789, 616, 9495, 630, 294, 13783, 476, 15647, 264, 634, 7083, 540, 519, 4469, 625, 5267, 602, 1010, 4527, 568, 519, 2601, 585, 519, 8695, 685, 16350, 883, 5260, 698, 2044, 543, 32408, 267, 4098, 609, 519, 1453, 779, 4250, 540, 519, 28458, 779, 6228, 267, 4553, 676, 10793, 779, 30468, 950, 11318, 519, 6477, 607, 1134, 607, 1010, 7004, 883, 513, 5260, 720, 267, 6368, 28285, 538, 519, 535, 1066, 345, 1221, 12638, 540, 17363, 693, 519, 3946, 540, 519, 1453, 945, 12161, 1864, 585, 519, 28458, 269, 2755, 789, 616, 25588, 17363, 547, 2669, 789, 616, 849, 669, 13589, 834, 298, 650, 519, 28458, 2336, 293, 792, 538, 634, 7083, 540, 519, 4469, 625, 769, 634, 7083, 540, 519, 4469, 625, 267, 4250, 568, 519, 2014, 540, 782, 9552, 543, 5208, 267, 799, 5012, 547, 5260, 698, 2044, 267, 543, 771, 12786, 3539, 540, 1480, 26069, 269, 10801, 519, 3003, 1433, 4250, 568, 1018, 11479, 891, 1762, 17608, 8695, 883, 5260, 698, 2044, 267, 543, 1018, 849, 27605, 1034, 540, 873, 2476, 689, 2503, 762, 1480, 2623, 269, 9453, 519, 3339, 3652, 540, 2486, 4543, 547, 3391, 873, 267, 789, 1831, 771, 528, 14314, 609, 519, 1007, 10450, 267, 4061, 1954, 18017, 873, 883, 5260, 720, 2081, 269, 2991, 519, 15779, 7077, 16154, 519, 8695, 2968, 19225, 2989, 1317, 741, 1158, 540, 4313, 729, 1100, 3476, 7298, 267, 543, 513, 4158, 17559, 1747, 19179, 1243, 741, 12625, 269, 21824, 3330, 540, 873, 2968, 3152, 855, 519, 8695, 1705, 711, 547, 1397, 741, 4250, 563, 1607, 568, 17814, 998, 519, 1433, 7083, 2986, 634, 4469, 625, 269, 634, 28458, 568, 835, 1259, 713, 568, 3254, 269, 968, 634, 16494, 28458, 602, 19225, 839, 782, 519, 8695, 6763, 585, 519, 2215, 531, 15859, 540, 5260, 698, 2044, 602, 6818, 1369, 782, 1480, 7919, 269, 634, 8695, 616, 12922, 540, 519, 28458, 267, 855, 1152, 17363, 10301, 519, 20185, 602, 789, 4250, 519, 28458, 1317, 621, 6818, 1369, 1142, 540, 873, 269, 1306, 519, 8695, 1332, 811, 5260, 720, 267, 741, 3661, 538, 519, 28458, 9428, 6793, 563, 31568, 9308, 28407, 519, 8695, 267, 2394, 9141, 676, 4250, 267, 789, 1641, 547, 1010, 28983, 1222, 269, 2991, 519, 8695, 2097, 1394, 689, 513, 6477, 6968, 950, 789, 616, 9277, 547, 581, 512, 2056, 547, 519, 5365, 3595, 267, 28522, 4445, 7125, 10793, 856, 585, 1010, 31464, 1145, 547, 948, 609, 519, 4247, 269, 1656, 950, 646, 1281, 267, 621, 968, 2507, 22755, 10793, 547, 5208, 269, 634, 10240, 1154, 1413, 3357, 883, 1010, 4544, 4064, 2507, 762, 693, 2063, 547, 5734, 2576, 267, 12758, 1010, 31329, 883, 28522, 4445, 779, 7181, 2507, 10793, 11542, 936, 1864, 269, 3571, 5639, 729, 30380, 609, 1208, 559, 2747, 892, 630, 10170, 1040, 0, 2710, 22442, 10449, 1332, 1394, 286, 29431, 601, 1662, 2530, 543, 519, 22442, 1662, 2208, 4783, 454, 292, 344, 601, 10449, 666, 2887, 856, 6923, 267, 2097, 856, 1813, 547, 726, 31902, 610, 959, 747, 582, 650, 2674, 807, 630, 327, 1515, 1790, 1638, 532, 4524, 264, 610, 1256, 1205, 15504, 856, 18417, 609, 606, 22442, 1662, 1225, 2401, 269, 1403, 713, 4523, 547, 596, 267, 596, 949, 4898, 281, 1684, 22442, 10449, 1332, 1394, 888, 292, 344, 601, 10449, 3335, 1332, 1394, 1369, 1896, 3275, 1310, 9991, 856, 610, 1373, 15504, 856, 269, 1717, 267, 930, 2175, 666, 2014, 8628, 22442, 1662, 2530, 563, 2304, 3750, 4387, 666, 948, 952, 596, 2811, 14126, 827, 2436, 707, 22442, 1662, 2530, 568, 3339, 543, 952, 707, 22442, 10449, 786, 1332, 1394, 269, 634, 4387, 786, 4983, 707, 4064, 267, 1685, 4255, 547, 3313, 519, 2014, 540, 707, 22442, 1662, 2530, 543, 2709, 2126, 952, 2556, 269, 769, 2665, 1141, 22442, 10449, 4465, 1405, 1332, 1394, 267, 606, 22442, 1662, 13003, 610, 824, 6391, 949, 581, 606, 4781, 563, 1692, 22442, 1662, 2208, 1568, 454, 292, 344, 601, 10449, 616, 1271, 1317, 789, 2149, 519, 4064, 689, 23480, 267, 7452, 267, 561, 842, 267, 13897, 543, 824, 5536, 602, 666, 2014, 3750, 16698, 610, 5945, 269, 1677, 1294, 875, 22442, 10449, 6923, 2887, 856, 543, 1332, 1394, 267, 649, 3580, 1491, 513, 1413, 693, 519, 1614, 11775, 540, 519, 22442, 1662, 2208, 4783, 912, 294, 9512, 5123, 630, 600, 10402, 264, 2443, 589, 1007, 22442, 1662, 9428, 585, 835, 547, 1079, 3275, 693, 513, 2557, 540, 476, 271, 269, 1321, 547, 476, 271, 269, 1691, 28935, 1142, 1554, 563, 9558, 819, 5123, 630, 13906, 10402, 264, 2443, 634, 22442, 1662, 13515, 3395, 543, 519, 4552, 21155, 548, 695, 337, 3855, 269, 901, 3217, 1747, 936, 827, 476, 1428, 2395, 563, 305, 20535, 5123, 630, 339, 601, 4094, 264, 2443, 634, 4628, 6738, 22442, 1662, 14014, 519, 3750, 585, 2185, 547, 8370, 3275, 267, 1287, 6923, 8813, 856, 563, 763, 3003, 22442, 1662, 2208, 4783, 16569, 1063, 2185, 543, 476, 1556, 3275, 269, 1306, 596, 666, 1294, 267, 621, 781, 3339, 585, 22442, 10449, 547, 2887, 856, 543, 1332, 1394, 936, 942, 563, 3963, 616, 1250, 22442, 10449, 9991, 856, 888, 2005, 779, 3339, 547, 6336, 606, 22442, 1662, 610, 1079, 689, 942, 547, 942, 269, 1809, 952, 596, 2811, 9561, 606, 29099, 1804, 1297, 540, 22442, 10449, 267, 972, 949, 581, 606, 5817, 2014, 602, 949, 991, 547, 581, 9619, 538, 1931, 585, 707, 22442, 10449, 547, 1332, 1394, 563, 2080, 616, 930, 540, 519, 3123, 540, 9402, 22442, 1662, 2530, 630, 21406, 14834, 541, 2670, 2187, 2704, 641, 1815, 807, 616, 1092, 2443, 1325, 641, 1815, 807, 616, 1092, 568, 513, 2783, 602, 3123, 9864, 610, 2407, 2530, 540, 4552, 593, 519, 21435, 543, 949, 1860, 519, 32071, 4900, 543, 22442, 10449, 269, 769, 1360, 4686, 2665, 267, 513, 3461, 949, 723, 620, 641, 1815, 807, 616, 1092, 602, 3123, 2530, 540, 1152, 519, 8202, 543, 561, 10449, 563, 289, 548, 874, 541, 4345, 2443, 1879, 596, 723, 6926, 874, 541, 4345, 267, 519, 22442, 1749, 666, 1831, 2699, 267, 22224, 543, 12933, 344, 269, 1403, 596, 1020, 5312, 6926, 874, 541, 4345, 267, 519, 6553, 666, 1291, 547, 1085, 18732, 2059, 519, 19114, 540, 519, 22442, 1749, 689, 799, 22442, 10449, 1332, 269, 901, 1085, 18732, 949, 2014, 22442, 1662, 2530, 563, 289, 5281, 610, 8194, 2443, 589, 6633, 610, 5945, 547, 519, 22442, 573, 602, 5540, 519, 4552, 32235, 949, 2014, 519, 2530, 540, 22442, 10449, 563, 290, 657, 27027, 2443, 2368, 2010, 540, 17539, 610, 1256, 5898, 13467, 666, 2014, 22442, 10449, 547, 2887, 856, 269, 5871, 27521, 338, 1331, 22442, 1662, 1225, 6840, 267, 22442, 1662, 24909, 543, 544, 2444, 4673, 602, 781, 711, 8719, 4749, 2614, 563, 306, 7219, 5563, 2443, 2368, 2010, 540, 5563, 540, 519, 22442, 1749, 666, 2014, 22442, 10449, 547, 2887, 856, 269, 1452, 5563, 949, 581, 9190, 267, 26220, 630, 7945, 607, 21746, 610, 561, 823, 264, 610, 10194, 563, 29590, 2443, 8648, 540, 7920, 2566, 949, 1118, 22442, 10449, 2887, 856, 5488, 982, 3339, 269, 769, 713, 3510, 267, 707, 4387, 949, 4363, 1210, 2566, 5786, 2553, 543, 2519, 593, 2635, 6208, 899, 3478, 1434, 6484, 543, 7899, 540, 3207, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 798, 594, 2268, 1250, 2212, 585, 519, 1318, 24743, 2450, 888, 2691, 621, 2501, 547, 24743, 3106, 267, 4466, 519, 1318, 3514, 568, 2629, 269, 589, 24743, 602, 568, 1932, 10690, 610, 1932, 9395, 949, 711, 1683, 7850, 4027, 538, 2013, 540, 606, 8009, 269, 1677, 2327, 596, 3442, 519, 2953, 24743, 2450, 267, 1246, 891, 2241, 3268, 912, 268, 12763, 707, 2212, 281, 4635, 513, 8465, 11746, 2268, 267, 16833, 621, 1472, 519, 11097, 652, 851, 540, 707, 2212, 267, 799, 568, 3335, 827, 606, 10759, 1657, 707, 32071, 4900, 269, 6875, 4063, 540, 519, 18592, 538, 2901, 6279, 610, 17744, 563, 268, 6744, 519, 521, 1944, 5750, 281, 13693, 519, 10672, 779, 521, 1944, 5750, 585, 519, 1808, 24743, 596, 616, 5461, 538, 269, 7756, 12478, 949, 723, 5594, 1114, 521, 1944, 4808, 267, 865, 621, 779, 1271, 547, 3277, 547, 519, 5750, 3177, 676, 519, 10672, 563, 268, 8347, 621, 593, 281, 4495, 596, 723, 5462, 519, 3617, 2450, 2687, 547, 519, 521, 1944, 5750, 267, 2119, 593, 519, 24743, 269, 898, 1058, 3514, 2879, 1872, 569, 593, 707, 2212, 267, 609, 519, 4395, 6316, 9361, 1175, 1657, 707, 32071, 4900, 269, 634, 24743, 1058, 711, 1847, 1472, 610, 1745, 10690, 950, 596, 21199, 707, 2212, 563, 268, 17797, 519, 2269, 1186, 281, 4107, 31238, 2097, 609, 28253, 2269, 1186, 547, 2327, 513, 5150, 3514, 269, 17797, 519, 24060, 588, 1905, 865, 602, 621, 568, 20354, 2879, 1872, 267, 855, 711, 1932, 9395, 269, 634, 2269, 1186, 1058, 1106, 513, 966, 6879, 1901, 1472, 707, 10772, 267, 609, 519, 31617, 10704, 2630, 707, 24060, 563, 8855, 267, 513, 5265, 17501, 24743, 1058, 1745, 2879, 1872, 855, 711, 13943, 269, 1403, 596, 616, 18516, 827, 519, 2450, 267, 621, 779, 2141, 1655, 547, 2119, 593, 1114, 31238, 610, 5077, 513, 3318, 585, 5583, 563, 1432, 616, 519, 1898, 2934, 547, 2015, 950, 7446, 513, 24743, 888, 2691, 8939, 513, 24743, 267, 972, 616, 1896, 1898, 2934, 547, 2015, 547, 2327, 6099, 3106, 543, 4313, 269, 1452, 2934, 1331, 912, 268, 8881, 24501, 281, 6733, 585, 31238, 602, 2743, 3106, 4441, 1305, 676, 3906, 971, 607, 519, 19901, 8605, 8881, 8189, 630, 290, 28903, 1070, 519, 1977, 5980, 585, 13281, 543, 10049, 630, 17129, 300, 1070, 610, 519, 10965, 749, 17341, 7690, 269, 1452, 24501, 2327, 602, 519, 24743, 814, 22734, 11826, 4152, 543, 10742, 1978, 3106, 4170, 563, 268, 4477, 5471, 1826, 281, 6333, 519, 1826, 540, 2534, 585, 799, 596, 991, 513, 24743, 269, 6787, 621, 779, 15203, 267, 31562, 267, 25920, 24692, 267, 610, 5179, 19464, 267, 972, 616, 1808, 31238, 2966, 585, 1142, 7328, 610, 2534, 269, 5269, 2386, 547, 3442, 513, 24743, 602, 568, 4481, 14018, 585, 707, 5497, 946, 563, 268, 14716, 2326, 281, 29581, 1115, 616, 3335, 1500, 689, 2326, 971, 607, 4874, 21666, 622, 267, 4017, 1120, 20199, 12432, 267, 610, 3327, 6775, 269, 3962, 1570, 3091, 8795, 2157, 540, 15006, 267, 2597, 267, 543, 1764, 4187, 269, 6333, 707, 2115, 543, 7375, 950, 8939, 519, 24743, 779, 4070, 1570, 563, 268, 20764, 7976, 281, 7743, 25312, 568, 1898, 585, 4313, 1282, 2168, 2238, 269, 6733, 585, 31238, 609, 7850, 14910, 267, 971, 607, 642, 757, 610, 9055, 267, 547, 1450, 2011, 547, 32694, 543, 2061, 23986, 908, 563, 268, 4825, 1549, 1062, 281, 634, 12802, 1062, 4016, 547, 519, 7271, 602, 8952, 519, 24743, 18172, 593, 707, 2212, 269, 4107, 2413, 31238, 2097, 609, 28253, 2269, 1186, 543, 513, 3866, 610, 3731, 322, 2867, 1062, 693, 519, 1394, 547, 21160, 519, 3514, 269, 3550, 519, 12802, 1062, 568, 2653, 547, 946, 543, 2488, 513, 5150, 3514, 563, 268, 22087, 3429, 543, 4313, 281, 589, 24743, 1058, 723, 6190, 14950, 3429, 547, 1683, 4313, 543, 31289, 532, 269, 6733, 585, 31238, 609, 5110, 762, 543, 11547, 762, 14950, 3429, 547, 2226, 27194, 543, 4195, 1145, 563, 268, 6250, 528, 281, 1403, 596, 2154, 4027, 689, 519, 3141, 610, 11935, 267, 2015, 513, 24743, 609, 513, 3710, 2987, 1471, 528, 610, 519, 2702, 547, 8936, 835, 269, 589, 1471, 528, 666, 3986, 15287, 543, 13104, 707, 4064, 689, 1350, 732, 610, 10760, 3615, 563, 3528, 6236, 891, 1898, 2934, 267, 596, 666, 3442, 513, 24743, 602, 711, 1152, 3091, 6099, 3106, 855, 849, 13352, 707, 1808, 2115, 543, 7375, 563, 6701, 972, 1114, 2010, 540, 31238, 585, 1808, 2238, 888, 8133, 267, 972, 616, 1585, 2010, 540, 31238, 2966, 4481, 585, 1114, 2238, 269, 3371, 616, 930, 1455, 2010, 540, 31238, 1759, 593, 1808, 5026, 610, 2238, 912, 268, 20676, 532, 31238, 281, 1452, 31238, 616, 17426, 543, 1134, 268, 1203, 23624, 267, 609, 7098, 17871, 6272, 269, 1358, 3335, 4183, 6905, 3795, 693, 519, 1394, 585, 3773, 4027, 563, 268, 4787, 328, 543, 6777, 4580, 31238, 281, 1452, 31238, 2709, 13471, 543, 4027, 1996, 5222, 593, 519, 19527, 269, 1358, 1419, 2097, 609, 28253, 14910, 1949, 543, 17356, 609, 575, 17344, 956, 563, 268, 4787, 622, 24692, 543, 16945, 4565, 8172, 31238, 281, 23850, 547, 16641, 2789, 5222, 267, 891, 31238, 723, 513, 2182, 9018, 7387, 543, 10053, 17371, 14950, 3429, 269, 1358, 3335, 723, 513, 678, 10133, 3337, 543, 3382, 811, 540, 519, 1394, 540, 519, 2212, 563, 268, 16359, 12860, 31238, 281, 16359, 12860, 31238, 1683, 5021, 4027, 585, 26348, 593, 519, 4155, 269, 1358, 2097, 538, 1585, 6163, 267, 1519, 2407, 19904, 267, 1930, 19904, 267, 543, 22606, 31238, 267, 1142, 5356, 1114, 2157, 540, 3795, 543, 2934, 563, 268, 4982, 652, 6929, 31238, 281, 1452, 31238, 616, 4481, 2966, 585, 7504, 3724, 14964, 543, 1683, 4027, 538, 2013, 540, 8813, 610, 737, 6506, 269, 1358, 1419, 4183, 513, 10244, 1062, 547, 5150, 519, 24743, 538, 1747, 563, 268, 9412, 16246, 31238, 281, 1452, 31238, 616, 17426, 543, 14463, 267, 2966, 547, 2149, 6172, 1499, 689, 9991, 7725, 610, 23139, 5222, 269, 1358, 3335, 723, 14910, 9475, 543, 28253, 2212, 27512, 585, 513, 5150, 3514, 563, 8855, 267, 621, 568, 2629, 547, 3442, 513, 24743, 2966, 585, 519, 1808, 2534, 596, 786, 581, 2502, 538, 547, 2327, 6099, 4027, 543, 2773, 563, 1692, 798, 594, 2327, 513, 24743, 2488, 1697, 4027, 543, 3514, 888, 2414, 2327, 602, 513, 24743, 2488, 1697, 4027, 543, 3514, 267, 1246, 891, 4808, 912, 268, 12501, 5874, 281, 6733, 585, 31238, 602, 2743, 3106, 4441, 1305, 676, 6444, 3906, 267, 971, 607, 519, 595, 28903, 267, 30680, 267, 610, 10965, 749, 269, 1452, 24501, 5815, 602, 519, 24743, 814, 22734, 11826, 4152, 543, 10742, 1808, 3106, 4170, 563, 268, 7743, 3514, 281, 1306, 5018, 4505, 267, 2268, 707, 2212, 543, 3277, 547, 519, 10672, 779, 521, 1944, 5750, 547, 2824, 519, 2953, 24743, 2450, 269, 634, 24743, 1058, 3514, 2879, 1872, 569, 593, 707, 2212, 267, 609, 519, 4395, 6316, 9361, 1175, 1657, 707, 32071, 4900, 269, 898, 1058, 711, 1847, 1472, 610, 1745, 10690, 950, 596, 21199, 707, 2212, 563, 268, 4825, 1549, 1062, 281, 17797, 519, 2269, 1186, 543, 12802, 1062, 547, 2327, 513, 5150, 3514, 269, 634, 24060, 588, 1905, 1058, 581, 20354, 2879, 1872, 267, 8108, 513, 966, 6879, 1901, 1472, 707, 10772, 267, 609, 519, 31617, 10704, 2630, 707, 24060, 563, 268, 19024, 532, 281, 5269, 2386, 519, 24743, 568, 17479, 7157, 593, 707, 2212, 269, 898, 1058, 1694, 1377, 593, 707, 2212, 267, 609, 519, 4395, 6316, 1175, 1657, 707, 32071, 4900, 269, 634, 24743, 1058, 711, 28550, 4464, 610, 18807, 563, 268, 853, 1464, 281, 4495, 519, 24743, 568, 5265, 19034, 267, 2638, 922, 6617, 676, 24373, 707, 2212, 9900, 689, 2427, 547, 2427, 543, 909, 543, 1524, 269, 634, 24743, 1058, 3251, 538, 1747, 543, 711, 1847, 23494, 563, 268, 6250, 528, 281, 1403, 707, 24743, 814, 513, 1471, 528, 267, 4188, 621, 547, 519, 5551, 2990, 547, 2327, 2312, 15287, 1510, 29572, 532, 707, 2361, 540, 2070, 563, 8855, 267, 513, 24743, 602, 2488, 1697, 4027, 543, 3514, 568, 1898, 585, 707, 3106, 269, 1403, 596, 723, 1022, 22027, 827, 519, 3514, 610, 10342, 540, 513, 24743, 267, 5077, 513, 3318, 610, 3346, 519, 10672, 585, 5583, 563, 1432, 616, 519, 1455, 9073, 547, 2057, 950, 8939, 513, 24743, 888, 2691, 8939, 513, 24743, 267, 621, 779, 1271, 547, 2057, 1455, 9073, 602, 666, 14207, 707, 3106, 269, 3371, 616, 930, 9073, 547, 2057, 912, 268, 19805, 519, 4636, 2450, 281, 29922, 513, 24743, 602, 568, 1932, 1507, 610, 1932, 1804, 666, 3648, 2569, 922, 7145, 269, 11408, 2268, 707, 2212, 543, 3277, 547, 519, 10672, 779, 521, 1944, 5750, 547, 3442, 519, 2953, 2450, 563, 268, 22695, 1681, 3106, 24501, 281, 2142, 18762, 540, 31238, 1510, 1697, 3106, 24501, 269, 19805, 513, 24743, 602, 1281, 711, 2743, 6444, 3106, 4441, 949, 2322, 596, 693, 1981, 540, 16283, 4027, 538, 2013, 540, 606, 8009, 563, 268, 10598, 22162, 547, 2119, 621, 593, 281, 8347, 532, 593, 513, 24743, 568, 2629, 547, 2327, 513, 1697, 3514, 269, 3680, 11449, 513, 24743, 1510, 3843, 621, 593, 267, 607, 621, 949, 1291, 547, 9636, 610, 13385, 4027, 563, 268, 3502, 6236, 519, 1808, 2534, 281, 7756, 2238, 2154, 1114, 2010, 540, 31238, 269, 3680, 1210, 513, 24743, 2966, 585, 835, 2534, 585, 1776, 267, 607, 621, 949, 711, 1683, 519, 2556, 4027, 563, 268, 10598, 22162, 5826, 281, 17115, 8524, 543, 2226, 707, 24743, 547, 2327, 922, 7145, 269, 29799, 707, 24743, 952, 621, 814, 1044, 3238, 538, 606, 8009, 610, 2982, 4191, 540, 3441, 610, 5957, 563, 268, 3502, 13868, 606, 2025, 24743, 281, 29581, 1115, 723, 513, 3908, 14438, 1813, 547, 5957, 543, 15237, 269, 3680, 1210, 606, 2025, 24743, 602, 949, 723, 25295, 922, 5227, 3028, 1272, 267, 607, 621, 949, 711, 2709, 7850, 4027, 563, 3528, 9319, 891, 1455, 9073, 267, 596, 666, 2327, 602, 596, 3442, 513, 24743, 602, 2488, 6099, 3106, 543, 4027, 585, 707, 1808, 2115, 563, 304, 272, 281, 1215, 1419, 1058, 594, 5372, 1250, 24743, 888, 288, 272, 281, 898, 568, 5227, 547, 5372, 707, 24743, 1169, 2947, 1296, 610, 19692, 952, 621, 814, 1044, 3238, 538, 606, 8009, 610, 2982, 4191, 540, 3441, 610, 5957, 563, 304, 273, 281, 2052, 594, 946, 513, 24743, 602, 814, 1044, 538, 513, 3105, 8009, 888, 288, 273, 281, 3143, 267, 621, 568, 711, 5227, 547, 946, 513, 24743, 602, 814, 1044, 3238, 538, 513, 3105, 8009, 269, 634, 1764, 949, 723, 19847, 922, 7293, 8699, 267, 1818, 621, 1447, 2500, 538, 3246, 4027, 563, 304, 274, 281, 2052, 594, 12189, 1250, 24743, 585, 513, 1732, 3514, 888, 288, 274, 281, 3143, 267, 621, 568, 711, 19624, 547, 12189, 707, 24743, 269, 1325, 614, 725, 949, 14207, 922, 7293, 8699, 543, 3106, 2934, 269, 11408, 3442, 513, 24743, 602, 13352, 5265, 1510, 519, 991, 585, 12381, 563, 304, 275, 281, 2052, 594, 2671, 1250, 24743, 609, 2576, 3116, 888, 304, 276, 281, 3657, 7199, 31238, 2141, 1732, 888, 288, 276, 281, 2755, 7199, 31238, 949, 2709, 3606, 2934, 543, 4359, 4066, 267, 519, 1034, 1271, 3815, 568, 519, 24743, 779, 3106, 24501, 543, 1697, 3514, 269, 7994, 513, 24743, 602, 10742, 3106, 4441, 543, 13352, 1134, 1369, 707, 6578, 563, 304, 277, 281, 2052, 594, 5957, 513, 24743, 1510, 513, 588, 1905, 610, 12802, 1062, 888, 288, 277, 281, 3143, 267, 513, 588, 1905, 610, 12802, 1062, 568, 1898, 585, 17516, 519, 24743, 538, 1747, 543, 4180, 1697, 3514, 543, 6617, 269, 11408, 5957, 513, 24743, 609, 519, 3617, 2269, 1186, 543, 12802, 1062, 563, 304, 278, 281, 2052, 594, 946, 513, 24743, 602, 568, 1932, 2025, 610, 814, 1163, 1600, 24501, 888, 288, 278, 281, 898, 568, 711, 5227, 547, 946, 513, 24743, 602, 568, 1932, 2025, 610, 814, 1163, 1600, 24501, 269, 29581, 1115, 723, 513, 3908, 14438, 267, 543, 22573, 24501, 5815, 602, 519, 24743, 949, 711, 2743, 1699, 3106, 4441, 269, 0, 298, 523, 334, 9857, 752, 1306, 515, 341, 752, 630, 1103, 3726, 267, 15729, 667, 832, 564, 267, 4516, 267, 476, 4572, 278, 1700, 1001, 274, 264, 543, 3627, 22448, 2692, 1306, 515, 341, 752, 630, 1103, 3726, 267, 15729, 667, 832, 564, 267, 4516, 267, 476, 4572, 274, 1700, 3192, 273, 994, 2304, 7769, 4934, 540, 14730, 1145, 267, 476, 3422, 272, 454, 1805, 821, 12827, 593, 1957, 267, 476, 276, 270, 2004, 454, 866, 269, 276, 1535, 476, 2641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]