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
[ 0, 454, 18851, 12218, 547, 4383, 11430, 878, 1644, 12602, 20701, 5814, 26417, 454, 5814, 13668, 454, 5814, 536, 338, 275, 454, 5814, 19883, 7531, 5035, 10370, 878, 10048, 4526, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 22873, 658, 5314, 540, 10370, 878, 10048, 4526, 1362, 20701, 1038, 1582, 4732, 784, 18380, 815, 31460, 1038, 1582, 12500, 848, 318, 14766, 815, 1412, 10674, 2517, 4178, 269, 5471, 26299, 7879, 2593, 270, 7055, 1038, 1582, 4732, 784, 318, 14766, 815, 1412, 7055, 1038, 1582, 269, 21459, 318, 569, 7879, 815, 29129, 825, 1219, 1205, 12774, 318, 5228, 18316, 4311, 267, 32197, 2187, 1038, 8173, 1038, 6396, 585, 3478, 5152, 1239, 689, 26417, 3758, 3177, 883, 454, 1038, 1362, 8675, 834, 338, 784, 18380, 5016, 1038, 20368, 2678, 912, 2018, 32197, 281, 1193, 910, 2619, 1299, 32197, 540, 3758, 547, 581, 16163, 539, 692, 1038, 16849, 912, 2018, 1582, 4732, 784, 18380, 281, 9598, 910, 7024, 519, 8675, 585, 5007, 946, 692, 1038, 29185, 1038, 1820, 3488, 28926, 2287, 3758, 267, 4939, 338, 262, 4939, 32197, 994, 1038, 609, 1930, 6600, 32327, 267, 7154, 8782, 337, 10807, 607, 1250, 18316, 912, 2018, 5467, 815, 26417, 18667, 518, 30044, 18316, 994, 2018, 585, 1899, 538, 5467, 912, 3546, 1250, 318, 4486, 815, 1899, 314, 271, 2639, 3546, 1250, 19056, 815, 1899, 314, 272, 2639, 3546, 1582, 4732, 784, 18380, 314, 3240, 318, 4486, 316, 815, 1250, 19056, 692, 1038, 2132, 1582, 4732, 784, 18380, 692, 825, 1219, 1205, 318, 718, 318, 569, 7879, 4311, 267, 1297, 15058, 318, 6050, 17107, 1038, 1250, 318, 569, 878, 8217, 815, 11713, 1038, 585, 5152, 538, 1582, 4732, 784, 18380, 912, 2018, 1582, 269, 22056, 318, 569, 878, 318, 14766, 4311, 4732, 784, 18380, 314, 338, 784, 3910, 5152, 994, 2018, 1582, 269, 27785, 318, 569, 7879, 4590, 2018, 952, 1297, 15058, 318, 6050, 2652, 476, 271, 912, 3546, 1948, 2745, 3488, 15893, 15058, 318, 6050, 815, 476, 271, 269, 4825, 9506, 782, 519, 18405, 1862, 5073, 3546, 28364, 5334, 784, 318, 569, 7879, 815, 1582, 269, 21459, 318, 569, 7879, 454, 2018, 3116, 912, 3546, 1948, 2745, 3488, 15893, 15058, 318, 6050, 2999, 285, 476, 271, 269, 4825, 9506, 930, 540, 519, 519, 18405, 1862, 5073, 3546, 28364, 5334, 784, 318, 569, 7879, 815, 1582, 10947, 318, 641, 2287, 318, 1467, 28840, 15058, 318, 6050, 994, 2018, 1948, 604, 711, 28364, 5334, 784, 318, 569, 7879, 912, 2018, 1250, 318, 569, 878, 18380, 815, 27835, 691, 626, 9166, 338, 784, 267, 1412, 338, 784, 9166, 1345, 4732, 784, 18380, 314, 338, 784, 3910, 1412, 569, 7879, 9166, 28364, 5334, 784, 318, 569, 7879, 8679, 2018, 952, 1250, 318, 569, 878, 18380, 9131, 569, 7879, 11172, 568, 711, 7183, 912, 3546, 1250, 318, 569, 878, 8217, 6910, 30044, 318, 569, 878, 18380, 2020, 1038, 2132, 1250, 318, 569, 878, 8217, 692, 825, 1219, 1711, 318, 569, 878, 318, 14766, 4311, 267, 5152, 21234, 267, 7376, 2187, 1038, 8173, 1038, 6396, 585, 2870, 5152, 1808, 29250, 689, 3490, 29250, 692, 1038, 20368, 2678, 912, 2018, 5152, 21234, 281, 1193, 910, 2140, 540, 519, 5152, 454, 2018, 7376, 281, 1193, 910, 7376, 540, 519, 5152, 692, 1038, 16849, 912, 2018, 1582, 4732, 784, 318, 14766, 281, 1193, 910, 7024, 519, 5152, 1808, 29250, 585, 5007, 946, 692, 1038, 29185, 1038, 1110, 5334, 784, 21234, 815, 5152, 21234, 18622, 2897, 2891, 14307, 29038, 20257, 12294, 4590, 1038, 1110, 318, 691, 626, 815, 7376, 18622, 2897, 2891, 14307, 29038, 20257, 12294, 4590, 1038, 1582, 4732, 784, 318, 14766, 815, 1582, 12500, 848, 318, 14766, 1341, 1110, 5334, 784, 21234, 1341, 21029, 569, 7879, 268, 262, 1341, 1110, 318, 691, 626, 692, 1038, 2132, 1582, 4732, 784, 318, 14766, 692, 825, 1219, 1205, 318, 569, 7879, 4311, 2187, 1038, 2119, 912, 2018, 759, 815, 13668, 10947, 4311, 4732, 784, 318, 14766, 994, 2018, 1948, 2745, 759, 454, 2018, 759, 269, 571, 1047, 318, 1721, 14067, 9850, 4590, 2018, 1948, 2745, 3488, 21093, 590, 19281, 1862, 17210, 2018, 2132, 759, 269, 3667, 692, 1038, 4849, 13668, 20216, 8526, 269, 12487, 9143, 13286, 607, 20093, 912, 2018, 1948, 476, 5213, 1405, 5855, 952, 621, 3085, 1405, 960, 267, 1175, 4163, 593, 609, 519, 1985, 3406, 454, 2018, 1780, 454, 2018, 1948, 1820, 20093, 454, 2018, 1948, 19523, 20216, 527, 263, 272, 994, 2018, 2132, 834, 5016, 825, 1219, 1612, 572, 318, 569, 7879, 4311, 2187, 1038, 8173, 1038, 6396, 4991, 318, 569, 7879, 1505, 547, 1205, 16814, 689, 721, 516, 454, 1038, 543, 519, 3096, 27202, 306, 19281, 547, 1349, 1239, 689, 16814, 692, 1038, 16849, 912, 2018, 1582, 269, 21459, 318, 569, 7879, 281, 1193, 910, 7024, 519, 5152, 1808, 18405, 454, 1038, 8173, 1038, 759, 26748, 815, 1582, 10947, 318, 569, 7879, 10797, 1038, 1948, 2745, 3488, 21430, 17339, 1862, 5073, 1038, 17339, 815, 536, 338, 275, 269, 6826, 2246, 3814, 306, 19281, 263, 637, 26748, 267, 1412, 331, 343, 6447, 17210, 1038, 1948, 5192, 834, 569, 7879, 23073, 17856, 4840, 1038, 1560, 26748, 815, 17339, 26098, 318, 718, 263, 573, 6889, 569, 7879, 23073, 17856, 5602, 1038, 586, 815, 7003, 6357, 1328, 26748, 2020, 1038, 1948, 32114, 593, 476, 272, 267, 1413, 585, 519, 533, 11090, 454, 1038, 952, 1560, 26748, 912, 2018, 18405, 815, 1560, 26748, 314, 271, 4940, 22772, 318, 718, 3488, 335, 5073, 1038, 3116, 912, 2018, 18405, 815, 11713, 1038, 1948, 853, 8692, 856, 1490, 11090, 543, 1711, 11430, 878, 5569, 454, 1038, 1948, 1820, 2891, 569, 7879, 616, 907, 23528, 1038, 1948, 1820, 18405, 454, 1038, 1582, 269, 21459, 318, 569, 7879, 815, 11713, 1038, 585, 11430, 878, 15220, 6064, 538, 18405, 912, 2018, 585, 1490, 538, 11430, 878, 15220, 6064, 26098, 318, 718, 2891, 1962, 257, 2187, 3546, 1490, 18622, 2897, 318, 5976, 2891, 5602, 2018, 2119, 912, 3546, 32004, 318, 569, 7879, 8217, 815, 11430, 878, 15220, 6064, 269, 3667, 21858, 28361, 333, 5073, 3546, 1948, 1582, 269, 21459, 318, 569, 7879, 815, 579, 262, 29717, 21860, 9230, 1345, 269, 21459, 318, 569, 7879, 267, 11430, 878, 15220, 6064, 269, 3667, 26895, 523, 13892, 3488, 583, 325, 268, 279, 262, 1040, 29328, 4590, 3546, 1582, 269, 21459, 318, 569, 7879, 6834, 32004, 318, 569, 7879, 8217, 454, 2018, 4849, 912, 3546, 1820, 3488, 306, 15036, 4682, 4636, 256, 5073, 1038, 1948, 1820, 3488, 21459, 318, 569, 7879, 616, 1862, 260, 338, 3299, 1582, 269, 21459, 318, 569, 7879, 994, 1038, 1948, 2119, 912, 1038, 1948, 672, 1820, 3488, 1345, 269, 21459, 318, 569, 7879, 314, 271, 316, 815, 834, 260, 338, 257, 262, 4939, 1582, 269, 21459, 318, 569, 7879, 314, 271, 7481, 1038, 1948, 4849, 912, 1038, 1948, 672, 1780, 454, 1038, 2132, 1582, 269, 21459, 318, 569, 7879, 692, 825, 1219, 1205, 318, 641, 2287, 318, 1467, 4311, 267, 1297, 15058, 318, 6050, 2187, 1038, 8173, 1038, 6396, 4991, 1535, 1297, 540, 3515, 689, 1582, 269, 21459, 318, 569, 7879, 692, 1038, 20368, 2678, 912, 2018, 1297, 15058, 318, 6050, 281, 703, 910, 1297, 540, 3515, 2838, 454, 1038, 16849, 912, 2018, 1101, 13448, 318, 6050, 281, 1193, 910, 7024, 5569, 5627, 1101, 1535, 3515, 630, 3602, 1535, 815, 1297, 15058, 318, 6050, 2020, 1038, 29185, 1038, 2132, 1582, 269, 21459, 318, 569, 7879, 314, 271, 281, 15893, 15058, 318, 6050, 6540, 825, 1219, 1711, 318, 29734, 539, 318, 569, 7879, 4311, 267, 11430, 878, 8217, 2187, 1038, 8173, 1038, 6396, 585, 2870, 513, 1025, 3471, 856, 5152, 543, 8228, 621, 547, 519, 5496, 692, 1038, 20368, 2678, 912, 2018, 11430, 878, 8217, 281, 1592, 910, 1592, 540, 18405, 689, 513, 1808, 5152, 692, 1038, 29185, 1038, 9168, 5334, 784, 815, 11713, 1038, 585, 1899, 538, 11430, 878, 8217, 912, 2018, 1948, 1820, 1899, 454, 2018, 1899, 318, 21639, 815, 1899, 269, 21639, 4590, 2018, 1913, 815, 1899, 318, 21639, 21858, 4590, 2018, 1948, 1820, 1913, 454, 2018, 1007, 318, 1467, 815, 11713, 2018, 585, 2262, 538, 1913, 912, 3546, 1948, 1820, 2262, 454, 3546, 1007, 29999, 815, 1412, 7055, 3546, 1101, 318, 10420, 815, 6936, 454, 3546, 585, 1347, 538, 2262, 912, 7386, 1948, 1820, 1347, 454, 7386, 952, 711, 1101, 318, 10420, 543, 1347, 18994, 10401, 10031, 13376, 1948, 5372, 609, 454, 13376, 1007, 29999, 6834, 1412, 318, 7055, 7386, 3116, 912, 13376, 1007, 29999, 6834, 1347, 454, 7386, 1101, 318, 10420, 815, 8771, 454, 3546, 1948, 11408, 1039, 513, 2230, 1310, 2262, 454, 3546, 1007, 29999, 6834, 1412, 1412, 454, 3546, 1948, 1820, 1007, 29999, 454, 3546, 1007, 318, 1467, 6910, 28956, 29999, 2020, 2018, 9168, 5334, 784, 6910, 28956, 318, 1467, 2020, 1038, 585, 1899, 538, 9168, 5334, 784, 912, 2018, 1007, 318, 1467, 23919, 815, 1412, 7055, 2018, 1820, 1007, 318, 1467, 23919, 12459, 7765, 263, 1467, 2020, 692, 3698, 1292, 10031, 825, 8173, 825, 6301, 8631, 4422, 1934, 454, 825, 29185, 825, 561, 332, 815, 10370, 878, 10048, 4526, 10797, 825, 561, 332, 10947, 12774, 318, 5228, 18316, 3488, 338, 784, 17902, 5073, 825, 1820, 561, 332, 4732, 784, 18380, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 333, 815, 703, 9272, 2891, 11900, 518, 529, 857, 796, 1003, 3266, 18092, 27328, 332, 815, 703, 9272, 2891, 11900, 518, 529, 857, 796, 1003, 3266, 18092, 27328, 2745, 2891, 302, 571, 1608, 3712, 3266, 262, 24924, 4012, 22080, 648, 911, 1775, 1813, 552, 694, 1089, 334, 552, 262, 8954, 756, 850, 829, 561, 262, 5306, 549, 5602, 2745, 2891, 834, 2020, 604, 562, 2652, 544, 912, 13537, 2891, 296, 1813, 6746, 328, 5067, 334, 579, 326, 783, 328, 5602, 19197, 562, 3436, 544, 912, 14851, 562, 260, 332, 2652, 476, 271, 912, 453, 13537, 2891, 296, 331, 1003, 3266, 4012, 22080, 648, 911, 1775, 1813, 552, 262, 2580, 562, 994, 453, 13537, 3799, 267, 834, 552, 262, 8954, 756, 850, 829, 14307, 544, 994, 28432, 912, 453, 13537, 2891, 296, 331, 1003, 3266, 4012, 22080, 648, 911, 1775, 1813, 552, 262, 2580, 562, 994, 453, 13537, 3799, 267, 834, 1875, 552, 262, 8954, 756, 850, 829, 14307, 544, 994, 19197, 562, 2999, 544, 912, 14851, 544, 260, 333, 2652, 476, 271, 912, 453, 13537, 2891, 296, 331, 1003, 3266, 4012, 22080, 648, 911, 1813, 552, 262, 2580, 544, 994, 453, 13537, 9852, 267, 834, 552, 262, 8954, 756, 850, 829, 14307, 562, 994, 28432, 912, 453, 13537, 2891, 559, 1003, 3266, 4012, 22080, 648, 911, 1775, 1813, 552, 262, 2580, 544, 994, 453, 13537, 9852, 2073, 834, 1875, 552, 262, 8954, 756, 850, 829, 14307, 562, 994, 0, 258, 9454, 531, 3004, 2091, 7843, 584, 7531, 3698, 18700, 9199, 2091, 263, 6783, 2187, 825, 1661, 8266, 815, 11713, 825, 1948, 3371, 594, 3355, 1125, 519, 10321, 540, 519, 4009, 454, 825, 5182, 305, 578, 267, 1439, 305, 578, 815, 476, 271, 267, 7003, 263, 6783, 9984, 272, 454, 825, 5182, 8624, 267, 1439, 8624, 815, 476, 271, 267, 7003, 263, 6783, 314, 271, 8079, 910, 476, 272, 454, 825, 1247, 5182, 305, 578, 10922, 1439, 305, 578, 543, 5182, 8624, 10922, 1439, 8624, 912, 1038, 1948, 12749, 1899, 540, 513, 4009, 454, 1038, 585, 6241, 538, 2039, 263, 28588, 8624, 267, 1439, 8624, 266, 272, 2187, 2018, 1661, 8266, 6910, 263, 6783, 314, 28588, 305, 578, 6012, 26383, 20285, 1038, 585, 4737, 538, 2039, 263, 28588, 305, 578, 266, 272, 267, 1439, 305, 578, 266, 272, 2187, 2018, 1661, 8266, 6910, 263, 6783, 314, 992, 6012, 754, 8624, 20285, 1038, 585, 6241, 538, 20328, 263, 9792, 263, 28588, 8624, 267, 1439, 8624, 15892, 2018, 952, 5182, 305, 578, 2652, 1439, 305, 578, 912, 3546, 2736, 454, 2018, 1661, 8266, 6910, 263, 6783, 314, 754, 305, 578, 6012, 26383, 20285, 1038, 585, 4737, 538, 20328, 263, 9792, 263, 28588, 305, 578, 266, 272, 267, 1439, 305, 578, 15892, 2018, 952, 5182, 8624, 2652, 1439, 8624, 912, 3546, 2736, 454, 2018, 1661, 8266, 6910, 263, 6783, 314, 992, 6012, 28588, 8624, 7481, 1038, 5182, 8624, 6834, 476, 272, 454, 1038, 1439, 8624, 20699, 476, 272, 454, 1038, 5182, 305, 578, 6834, 476, 272, 454, 1038, 1439, 305, 578, 20699, 476, 272, 454, 825, 2132, 1661, 8266, 454, 0, 258, 3698, 1456, 1250, 4632, 5897, 3240, 11415, 815, 834, 14187, 27450, 6129, 257, 5897, 1598, 272, 284, 834, 14187, 27450, 29177, 1598, 273, 6889, 26422, 29177, 325, 272, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7010, 3163, 268, 13315, 1072, 1416, 6765, 543, 3609, 267, 8739, 1815, 11043, 21876, 540, 1072, 267, 2551, 543, 1857, 1072, 267, 1871, 2861, 1416, 267, 3461, 3106, 543, 2298, 6454, 267, 16542, 543, 5718, 609, 513, 1445, 2429, 593, 1949, 3206, 454, 18128, 2064, 9122, 6925, 1299, 769, 26197, 910, 2882, 27496, 543, 1979, 739, 520, 2524, 267, 1353, 1374, 543, 3498, 540, 891, 3741, 547, 11126, 3375, 6194, 9001, 1164, 2298, 1382, 563, 7049, 7497, 268, 21834, 1543, 8255, 2429, 519, 6437, 543, 4386, 1034, 4122, 609, 519, 4437, 17190, 8142, 7886, 563, 14549, 885, 910, 3629, 3255, 547, 7794, 1883, 1983, 540, 11705, 1681, 998, 6278, 538, 519, 6575, 543, 23408, 563, 14813, 1254, 1299, 16332, 640, 268, 14119, 919, 6375, 1108, 543, 3210, 547, 2068, 607, 1134, 607, 8762, 5735, 563, 26073, 1108, 910, 10312, 525, 593, 519, 3123, 543, 2360, 540, 3676, 1519, 741, 14407, 543, 18784, 5920, 607, 1134, 607, 8047, 269, 6514, 454, 4942, 29108, 1108, 910, 7043, 15994, 1543, 3823, 519, 3096, 267, 2360, 543, 12331, 540, 3527, 540, 5061, 607, 1134, 607, 519, 14278, 758, 514, 2045, 3741, 5817, 741, 946, 563, 24357, 5735, 910, 22716, 3278, 519, 1599, 540, 1142, 1418, 543, 519, 3347, 1063, 1418, 1949, 547, 11126, 27921, 693, 519, 1418, 1606, 2448, 543, 10408, 2157, 563, 32153, 1143, 1299, 15979, 910, 14119, 919, 3741, 540, 3318, 2623, 609, 11095, 6788, 607, 3461, 13282, 9021, 2333, 607, 1134, 607, 1543, 3823, 5683, 21140, 2676, 11039, 1145, 910, 12474, 7740, 593, 17306, 1312, 3461, 543, 8502, 9716, 269, 0, 1103, 519, 22984, 540, 519, 3395, 7292, 13253, 543, 3586, 26706, 540, 16957, 7128, 30468, 1996, 2523, 3979, 31787, 538, 519, 772, 2529, 1421, 519, 5600, 7225, 26547, 9730, 19108, 20366, 547, 4363, 585, 519, 1101, 942, 519, 5137, 540, 513, 10243, 547, 2015, 13075, 1065, 25730, 547, 2349, 2931, 2059, 609, 513, 968, 20139, 3284, 1108, 892, 585, 519, 2136, 2276, 685, 1686, 540, 8474, 269, 901, 568, 513, 2556, 3350, 602, 814, 1044, 513, 1279, 942, 4947, 269, 594, 1589, 922, 6662, 5555, 786, 581, 12913, 563, 5278, 6519, 4892, 267, 2523, 930, 25743, 267, 786, 7903, 1394, 593, 713, 269, 4256, 1292, 4661, 568, 602, 519, 1459, 5108, 11129, 711, 581, 4371, 18177, 585, 519, 3765, 1372, 2644, 540, 3105, 5481, 269, 2334, 568, 513, 1455, 4661, 602, 568, 19876, 4464, 676, 1004, 602, 28586, 519, 1523, 540, 1964, 3191, 538, 741, 695, 597, 6362, 540, 5539, 269, 634, 5168, 568, 602, 3425, 7919, 616, 711, 2370, 10195, 538, 2933, 1033, 3737, 689, 1142, 824, 269, 13298, 267, 649, 2461, 782, 538, 713, 1927, 269, 1548, 649, 798, 2221, 5540, 5481, 547, 2097, 269, 1656, 950, 938, 3765, 1372, 2644, 10413, 824, 1004, 267, 938, 1378, 1004, 1590, 581, 4371, 18177, 267, 1256, 952, 789, 2661, 5481, 2663, 269, 898, 779, 1572, 5126, 563, 19111, 538, 1448, 1700, 1492, 5822, 2622, 2782, 269, 5125, 6836, 547, 1491, 936, 519, 1158, 269, 769, 519, 1184, 267, 789, 6836, 547, 3045, 8811, 30968, 782, 7642, 945, 789, 30199, 585, 782, 519, 1158, 779, 13542, 269, 8786, 267, 7642, 723, 1044, 519, 1085, 1901, 2998, 520, 2429, 1686, 269, 1809, 1631, 267, 29235, 1296, 2663, 267, 2221, 779, 4961, 540, 5125, 616, 1869, 9878, 13075, 1065, 25730, 547, 1459, 267, 2713, 7642, 519, 1158, 936, 585, 519, 4436, 21647, 685, 29695, 3765, 1372, 2644, 540, 519, 14195, 563, 297, 3253, 3323, 519, 824, 1158, 779, 824, 2427, 540, 519, 5822, 2622, 2782, 267, 9859, 1996, 519, 7330, 543, 1866, 269, 4935, 267, 15875, 3567, 16091, 543, 13026, 1312, 1459, 3162, 543, 3345, 9705, 1282, 24918, 269, 3567, 779, 3441, 568, 1869, 1373, 2808, 585, 1065, 25730, 269, 1280, 1383, 267, 693, 519, 4098, 540, 713, 1032, 267, 513, 3162, 11114, 5480, 10288, 519, 5545, 2229, 547, 2628, 13180, 547, 513, 18797, 3162, 11114, 2021, 945, 3567, 1185, 1500, 7142, 3023, 10437, 1282, 24918, 269, 2986, 1576, 267, 3162, 9705, 814, 1100, 16278, 936, 3567, 269, 901, 3747, 568, 513, 2339, 540, 6240, 269, 18599, 540, 519, 12964, 11114, 2021, 723, 5747, 2094, 519, 27779, 729, 15748, 269, 1703, 616, 824, 971, 4031, 7057, 676, 9907, 11114, 2021, 945, 11338, 11124, 563, 7628, 24918, 267, 519, 5545, 2229, 1185, 1572, 891, 3196, 3023, 10437, 552, 1575, 1335, 12264, 968, 1260, 3228, 2021, 1848, 634, 5480, 814, 1500, 2312, 602, 621, 779, 711, 519, 2724, 267, 855, 513, 1857, 3284, 1108, 267, 3162, 9705, 7569, 689, 3567, 269, 901, 568, 1776, 24918, 21440, 585, 799, 513, 6439, 2305, 543, 3284, 1108, 814, 1044, 1279, 936, 16746, 269, 3567, 5612, 15653, 519, 3747, 269, 4935, 267, 13253, 1063, 3162, 9705, 543, 3567, 723, 1044, 3395, 936, 713, 2339, 2429, 713, 1032, 563, 1607, 1523, 540, 1065, 25730, 543, 5924, 3284, 1108, 568, 538, 519, 6426, 269, 769, 1249, 267, 585, 10271, 945, 3494, 538, 519, 865, 10777, 2034, 4947, 540, 2441, 267, 519, 6426, 6920, 602, 786, 711, 4755, 2394, 513, 6014, 20276, 656, 2306, 4050, 527, 1113, 11755, 267, 14344, 519, 3765, 1372, 539, 540, 602, 6014, 5108, 799, 8329, 547, 519, 18149, 31766, 543, 11056, 540, 4906, 540, 9294, 732, 628, 269, 594, 8275, 713, 568, 513, 11786, 2990, 547, 1491, 538, 1769, 540, 519, 14195, 269, 1809, 621, 1058, 711, 581, 10483, 609, 23998, 543, 5134, 13015, 540, 7642, 2221, 269, 2201, 519, 14669, 267, 10271, 1058, 581, 519, 1034, 15962, 1004, 540, 782, 4724, 519, 6014, 1004, 269, 1403, 621, 1185, 711, 1044, 585, 519, 6014, 1004, 267, 972, 2760, 1131, 723, 1044, 1022, 8567, 269, 634, 6014, 1004, 5795, 721, 938, 31050, 1700, 27716, 540, 9294, 732, 628, 1700, 663, 811, 267, 971, 519, 6426, 563, 4002, 713, 1641, 540, 6014, 4050, 527, 775, 538, 519, 2063, 2395, 267, 1294, 1250, 1433, 2782, 1874, 689, 24656, 269, 4706, 1101, 1614, 3184, 616, 13886, 968, 30265, 3042, 18484, 2223, 968, 297, 518, 12731, 3115, 550, 256, 2223, 543, 968, 763, 3816, 333, 656, 1848, 15845, 547, 1489, 713, 1439, 9392, 6014, 4050, 527, 775, 568, 12253, 779, 11755, 538, 12253, 476, 280, 269, 634, 1762, 812, 12253, 729, 1851, 519, 6014, 608, 3796, 7247, 20770, 1014, 3751, 3026, 321, 1276, 611, 928, 3960, 541, 3576, 547, 20770, 1310, 646, 16091, 543, 10032, 5840, 269, 898, 8507, 538, 1018, 568, 1572, 519, 1401, 850, 610, 20770, 1014, 12650, 2032, 269, 5463, 3547, 2663, 267, 12253, 1224, 513, 28897, 689, 519, 22445, 22819, 31109, 538, 519, 6014, 6426, 799, 10567, 713, 1401, 850, 1131, 4755, 543, 602, 621, 1131, 2063, 29235, 1296, 630, 25405, 1408, 476, 280, 269, 272, 268, 273, 1040, 12253, 1287, 1305, 5128, 547, 519, 4305, 540, 32467, 29367, 968, 5976, 17509, 543, 521, 871, 743, 1054, 543, 607, 1127, 269, 594, 7281, 539, 547, 519, 28789, 1250, 2696, 543, 1500, 1476, 11970, 892, 630, 341, 341, 269, 476, 274, 268, 275, 1916, 3963, 1705, 12253, 1118, 1476, 11970, 267, 799, 729, 519, 16075, 540, 21359, 8149, 286, 1261, 22821, 1406, 2944, 4376, 4636, 269, 11569, 267, 2943, 646, 21334, 539, 519, 21359, 540, 1010, 1004, 8149, 538, 3105, 5481, 585, 799, 2696, 24565, 519, 4182, 676, 3850, 519, 20770, 1014, 4622, 547, 4323, 543, 6861, 519, 4182, 540, 5840, 269, 12253, 1767, 547, 2696, 267, 968, 5472, 5840, 814, 1098, 326, 5962, 707, 1876, 543, 5828, 11735, 267, 32222, 547, 23491, 707, 5639, 269, 1924, 519, 31169, 543, 522, 987, 2854, 538, 519, 1876, 540, 15584, 267, 519, 22700, 540, 2696, 267, 723, 1044, 23953, 856, 2390, 721, 267, 1317, 649, 723, 5609, 2740, 1996, 596, 892, 630, 341, 269, 476, 1321, 1040, 2334, 3573, 31169, 543, 522, 987, 616, 538, 2274, 10903, 16307, 476, 2918, 543, 1546, 17458, 16860, 476, 2764, 538, 519, 6014, 6426, 269, 12253, 2417, 21334, 539, 968, 712, 21359, 543, 519, 538, 1172, 885, 540, 938, 11937, 892, 630, 341, 269, 476, 1626, 1070, 3976, 13288, 547, 519, 21359, 540, 3105, 5481, 540, 12355, 32434, 28779, 1004, 563, 2252, 12253, 7281, 539, 971, 513, 11755, 540, 4050, 527, 775, 585, 519, 4636, 4777, 532, 540, 1010, 1004, 538, 513, 3105, 5108, 267, 15983, 7642, 786, 798, 11338, 538, 519, 1439, 2053, 3823, 519, 6014, 5842, 1117, 12541, 779, 18149, 31766, 540, 4906, 540, 9294, 732, 628, 607, 513, 1025, 5684, 31906, 17709, 540, 2669, 269, 19452, 267, 2221, 779, 6519, 4961, 540, 519, 7330, 991, 547, 23294, 1125, 585, 741, 2062, 15289, 338, 685, 7001, 267, 6283, 267, 543, 5553, 540, 17760, 29713, 540, 20338, 543, 1256, 798, 811, 827, 621, 982, 602, 267, 899, 5125, 568, 3257, 585, 7642, 267, 676, 1818, 13075, 1065, 25730, 269, 0, 763, 1101, 2963, 540, 7601, 1373, 1031, 607, 513, 4070, 1570, 538, 6239, 2342, 7389, 689, 519, 3735, 5664, 12698, 267, 609, 519, 9510, 1634, 7601, 8122, 1869, 7298, 2221, 267, 593, 519, 670, 843, 525, 8583, 26720, 630, 12553, 271, 264, 538, 5125, 269, 901, 3105, 267, 3504, 1570, 814, 1279, 1044, 6964, 538, 1964, 31382, 543, 20344, 960, 267, 855, 2221, 621, 568, 1373, 1031, 538, 930, 540, 519, 1034, 2413, 267, 5499, 3889, 267, 689, 3909, 5656, 547, 19887, 7161, 267, 543, 689, 15945, 547, 4853, 2371, 269, 29922, 519, 1318, 2326, 543, 6721, 519, 4998, 804, 32061, 616, 4909, 3664, 267, 2523, 1141, 519, 6189, 3294, 568, 513, 960, 540, 1148, 267, 855, 2115, 2413, 2029, 269, 1656, 971, 9270, 1152, 2744, 2956, 585, 6915, 1105, 3538, 675, 3785, 269, 12634, 6189, 568, 16107, 519, 2407, 1761, 540, 7601, 676, 1210, 621, 609, 824, 2326, 910, 3574, 267, 4837, 910, 547, 3132, 3889, 602, 616, 513, 3501, 6474, 585, 930, 540, 519, 5767, 25481, 267, 1510, 18731, 593, 519, 2702, 540, 519, 2679, 547, 5706, 519, 2199, 4365, 269, 918, 10933, 779, 570, 4488, 308, 10378, 7601, 543, 7601, 18585, 804, 32061, 3435, 723, 1044, 2966, 4481, 585, 11265, 3096, 267, 9256, 12716, 17284, 609, 6024, 6639, 19870, 585, 22908, 543, 3655, 9809, 3547, 269, 570, 4488, 308, 10378, 2472, 616, 14463, 543, 12600, 267, 855, 616, 849, 3362, 9862, 547, 3875, 3156, 269, 634, 1804, 2039, 540, 2067, 7252, 538, 7601, 543, 7601, 23212, 2488, 606, 5044, 540, 20498, 4070, 3681, 269, 570, 4488, 308, 10378, 2472, 666, 581, 9788, 1210, 2757, 2409, 267, 971, 607, 519, 7555, 9378, 267, 610, 2484, 811, 2413, 804, 32061, 3681, 267, 1519, 22101, 22863, 267, 8440, 267, 30133, 267, 543, 1527, 6150, 3435, 269, 2353, 519, 3681, 9192, 16134, 540, 10380, 267, 609, 15006, 543, 3860, 1761, 269, 570, 4488, 308, 10378, 2472, 616, 2139, 538, 9212, 610, 17446, 543, 2743, 519, 667, 2562, 13673, 476, 14056, 273, 543, 667, 2562, 13673, 476, 13679, 273, 4441, 267, 7132, 789, 723, 519, 9460, 4460, 543, 18869, 476, 9610, 1839, 2825, 13995, 269, 570, 4488, 308, 10378, 7108, 568, 513, 2027, 7601, 18585, 689, 918, 10933, 602, 267, 5103, 519, 2012, 267, 1281, 711, 2270, 4890, 4154, 267, 855, 5097, 21567, 543, 11956, 269, 901, 3070, 568, 711, 1152, 3834, 334, 718, 1120, 21329, 609, 5140, 4550, 2173, 17853, 3601, 267, 855, 849, 5393, 14809, 11259, 269, 634, 1413, 15320, 689, 21567, 1317, 267, 7429, 519, 8545, 267, 621, 1281, 711, 6336, 922, 575, 843, 539, 5920, 936, 942, 269, 4495, 8704, 267, 621, 12444, 3278, 6385, 547, 1106, 513, 3636, 267, 17715, 12094, 602, 17216, 31061, 4154, 269, 13056, 9809, 3547, 804, 611, 609, 570, 4488, 308, 10378, 7108, 616, 3810, 859, 25607, 543, 267, 950, 538, 519, 3141, 267, 1683, 513, 2189, 16799, 540, 18759, 269, 6145, 782, 918, 10933, 2472, 267, 570, 4488, 308, 10378, 7108, 568, 476, 1911, 260, 6691, 762, 267, 20054, 519, 2773, 2157, 538, 1699, 3864, 9086, 543, 568, 606, 6099, 3903, 585, 16413, 267, 2523, 952, 789, 616, 2870, 5656, 602, 2154, 19845, 3633, 13995, 267, 513, 6093, 10421, 585, 1857, 5656, 563, 309, 807, 5651, 574, 32121, 267, 476, 2918, 910, 594, 910, 476, 1001, 6246, 6660, 8457, 454, 307, 601, 269, 1341, 4375, 476, 6349, 476, 8660, 272, 2412, 476, 2641, 454, 292, 17733, 281, 4757, 11333, 2593, 910, 8940, 21993, 1889, 2593, 0, 21841, 6448, 10982, 583, 848, 13408, 513, 1920, 540, 12669, 14535, 10192, 602, 10776, 2763, 519, 12444, 334, 3146, 9134, 540, 2706, 6448, 606, 542, 547, 670, 273, 302, 273, 269, 631, 22462, 3150, 2706, 6448, 10982, 583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16767, 267, 3567, 729, 5266, 1134, 1790, 10517, 1563, 585, 519, 5767, 844, 820, 269, 3567, 1223, 711, 2149, 922, 3003, 23795, 1996, 23329, 609, 922, 1062, 540, 23772, 8712, 563, 9515, 3458, 4461, 538, 1928, 269, 589, 4807, 14084, 1985, 547, 12756, 538, 6413, 6238, 547, 11522, 3423, 1836, 543, 12154, 1080, 1804, 5666, 540, 8052, 1540, 1973, 269, 12756, 849, 6238, 13481, 1973, 267, 543, 519, 1439, 540, 513, 2030, 11903, 2501, 856, 540, 1200, 5023, 269, 2701, 1178, 2125, 621, 543, 27605, 513, 1279, 11903, 856, 540, 1200, 5023, 563, 763, 476, 1220, 275, 4095, 7909, 13091, 543, 23329, 630, 10193, 1634, 607, 519, 13340, 532, 4303, 570, 15711, 9564, 543, 267, 676, 519, 3621, 2146, 267, 519, 5681, 21358, 1700, 4517, 16120, 13091, 264, 7018, 693, 476, 5881, 281, 6812, 281, 7871, 538, 2199, 942, 630, 7473, 290, 266, 278, 264, 593, 476, 2918, 5412, 267, 609, 606, 12473, 550, 516, 1055, 519, 7178, 5032, 540, 7187, 5681, 21358, 267, 12868, 269, 0, 763, 670, 1961, 538, 519, 19940, 281, 590, 30371, 14879, 267, 32655, 590, 30371, 14879, 267, 543, 4139, 4521, 454, 29613, 958, 267, 513, 1560, 540, 1876, 13408, 513, 1305, 540, 17396, 543, 5812, 3652, 269, 1452, 3652, 3565, 547, 519, 5137, 540, 606, 1604, 602, 568, 22150, 267, 3759, 20160, 267, 543, 1175, 269, 4107, 3486, 17864, 4126, 267, 2503, 267, 610, 3494, 602, 971, 513, 1560, 540, 513, 1876, 666, 2291, 585, 3486, 1062, 269, 901, 568, 513, 18174, 781, 2144, 8681, 563, 28733, 4703, 540, 3486, 1876, 949, 1020, 538, 1808, 3390, 2127, 267, 855, 1152, 952, 789, 1711, 1582, 10276, 1721, 1424, 1226, 9902, 6319, 282, 602, 568, 267, 952, 519, 4143, 6105, 267, 1346, 609, 519, 2702, 547, 29875, 519, 4341, 267, 3494, 602, 789, 1131, 581, 8338, 1055, 952, 789, 1705, 269, 4634, 950, 1582, 10276, 1721, 1424, 1226, 9902, 6319, 798, 2291, 267, 789, 2063, 1152, 865, 1279, 607, 519, 4690, 543, 7207, 540, 11051, 267, 799, 949, 2141, 1689, 267, 5352, 513, 2497, 540, 2628, 26160, 602, 28901, 4797, 4341, 15984, 269, 3509, 2152, 267, 1519, 4295, 2055, 1644, 547, 16285, 267, 786, 2760, 581, 2111, 547, 5352, 1582, 10276, 1721, 1424, 1226, 9902, 6319, 538, 519, 1101, 1747, 269, 0, 22512, 619, 538, 519, 2069, 2361, 616, 14785, 538, 1082, 2081, 1317, 7855, 666, 1118, 2318, 5222, 593, 741, 1053, 685, 2729, 543, 666, 1689, 519, 2104, 540, 1053, 269, 589, 1268, 13197, 513, 4110, 693, 513, 6280, 814, 4440, 6074, 547, 1831, 513, 4116, 538, 519, 2104, 543, 646, 949, 4898, 267, 968, 1432, 568, 519, 2816, 19773, 585, 3610, 9495, 563, 297, 984, 31326, 1280, 11334, 454, 31535, 519, 2816, 19773, 585, 3450, 23909, 666, 948, 596, 3442, 707, 4876, 538, 519, 3450, 2361, 269, 769, 713, 2376, 267, 649, 786, 1865, 519, 2816, 19773, 585, 1114, 3450, 2157, 267, 543, 2689, 741, 23269, 543, 1007, 3255, 585, 3610, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 1007, 3255, 585, 3610, 616, 8375, 693, 1114, 2157, 269, 3245, 476, 1708, 272, 547, 476, 10711, 272, 267, 7694, 585, 9251, 3610, 568, 4397, 547, 1332, 676, 476, 1428, 9077, 543, 3255, 585, 10026, 1153, 3610, 616, 2810, 676, 476, 275, 10065, 634, 7694, 540, 1647, 1153, 3610, 568, 4397, 547, 1332, 676, 476, 275, 9077, 543, 519, 7694, 3255, 585, 1164, 1153, 3610, 616, 4397, 547, 1332, 676, 476, 276, 10065, 634, 7694, 540, 2027, 1153, 3610, 568, 4397, 547, 1332, 676, 476, 275, 260, 689, 476, 1708, 272, 547, 476, 10711, 272, 563, 763, 2816, 19773, 585, 3610, 693, 1114, 2157, 912, 2252, 596, 2015, 1373, 513, 4116, 267, 1354, 11362, 2620, 883, 713, 4876, 267, 596, 1058, 3442, 513, 1377, 540, 3450, 543, 917, 827, 519, 2816, 19773, 540, 3610, 693, 1114, 2157, 269, 769, 519, 2136, 2276, 267, 3875, 3450, 7158, 616, 2139, 267, 8151, 689, 9251, 4116, 547, 2027, 2069, 4116, 563, 15430, 1041, 3610, 13599, 1453, 945, 616, 1447, 982, 2947, 1296, 2025, 543, 948, 1453, 547, 1451, 2596, 1919, 269, 1358, 4001, 891, 1507, 1453, 827, 4778, 267, 1893, 267, 5546, 267, 543, 824, 1514, 1983, 563, 15430, 1041, 3610, 1590, 723, 519, 2702, 547, 4001, 1453, 998, 1404, 543, 824, 2409, 269, 1358, 666, 946, 9423, 543, 6586, 2719, 3756, 547, 4001, 1053, 827, 1913, 267, 1893, 267, 6863, 267, 543, 4664, 563, 763, 9251, 4116, 568, 3743, 585, 10778, 268, 634, 9251, 4116, 4566, 543, 28352, 513, 6437, 585, 1453, 602, 6212, 593, 1585, 3344, 540, 1126, 1646, 563, 268, 5029, 1125, 1114, 2238, 998, 799, 519, 2875, 666, 2263, 741, 4690, 543, 1020, 741, 2596, 1983, 563, 268, 8073, 1114, 16131, 547, 2327, 602, 707, 1453, 1205, 2614, 2168, 2534, 543, 1964, 563, 268, 19321, 513, 2594, 540, 519, 1453, 779, 3232, 6296, 3356, 543, 1217, 3237, 827, 741, 1126, 779, 3356, 543, 2208, 563, 20779, 663, 585, 519, 2104, 912, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 7694, 585, 9251, 3610, 568, 4397, 547, 1332, 476, 1428, 4939, 676, 476, 10711, 272, 267, 1454, 5488, 982, 519, 3084, 3328, 563, 1103, 519, 2475, 267, 1519, 1114, 2829, 267, 5176, 476, 8287, 267, 1911, 1007, 6009, 1930, 1169, 1032, 585, 9251, 3610, 563, 6097, 547, 519, 645, 11862, 267, 972, 786, 581, 5111, 476, 4649, 277, 267, 1822, 1007, 4116, 2816, 23761, 538, 519, 1114, 2829, 540, 519, 2475, 676, 476, 10711, 272, 269, 1306, 811, 1453, 723, 19801, 538, 9251, 5049, 538, 2487, 1296, 267, 519, 3747, 585, 9251, 3610, 568, 4397, 547, 4473, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 519, 829, 16923, 2628, 540, 9251, 3610, 568, 1269, 1691, 269, 7367, 267, 543, 519, 11667, 14057, 568, 1269, 1789, 267, 13975, 829, 1032, 563, 30747, 7124, 543, 10026, 1153, 3610, 5965, 1762, 1053, 585, 1647, 1153, 676, 3450, 873, 930, 2596, 5396, 971, 607, 2257, 267, 2979, 267, 1893, 267, 543, 1514, 2090, 269, 3689, 998, 11359, 610, 15795, 9344, 616, 3335, 4988, 538, 10026, 1153, 543, 616, 3366, 676, 10026, 1153, 3610, 563, 27645, 538, 9656, 543, 10026, 1153, 3335, 723, 519, 1739, 9021, 912, 268, 16504, 3610, 1711, 3992, 4566, 585, 1053, 547, 1451, 827, 2596, 5396, 899, 1686, 267, 2257, 267, 2780, 2257, 267, 543, 2979, 563, 268, 16259, 543, 4051, 519, 1053, 593, 875, 547, 2170, 609, 1866, 543, 875, 547, 4308, 609, 824, 4664, 563, 268, 16504, 1153, 3610, 6218, 1053, 685, 5759, 267, 9342, 267, 543, 12755, 676, 11287, 873, 543, 3450, 873, 547, 1451, 689, 741, 9073, 563, 268, 16259, 1053, 585, 1114, 13387, 4255, 543, 3986, 741, 21842, 2157, 563, 268, 8073, 543, 17997, 4928, 3652, 547, 4001, 1053, 875, 547, 13789, 538, 13460, 538, 1114, 3871, 563, 20779, 663, 585, 519, 8892, 912, 6097, 547, 2475, 13163, 540, 8534, 10803, 1239, 267, 593, 3328, 267, 476, 6344, 267, 4968, 23761, 585, 9656, 543, 10026, 1153, 3610, 616, 4397, 1142, 1032, 269, 1306, 1699, 3610, 13649, 267, 972, 949, 581, 513, 3152, 3747, 585, 11727, 2043, 547, 6445, 741, 7158, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 538, 519, 2475, 519, 7694, 3255, 585, 10026, 3610, 616, 4397, 547, 1332, 676, 476, 275, 4939, 676, 476, 10711, 272, 563, 6097, 547, 519, 645, 11862, 267, 972, 786, 581, 5111, 476, 272, 267, 276, 5325, 267, 1220, 1007, 10026, 4116, 2816, 23761, 538, 519, 1114, 2829, 540, 519, 2475, 676, 476, 10711, 272, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 585, 476, 1708, 272, 267, 519, 11667, 14057, 540, 10026, 3610, 568, 1269, 8618, 267, 31318, 829, 1032, 563, 29557, 1153, 4116, 912, 29557, 1153, 3610, 3335, 13599, 1053, 538, 9344, 3670, 998, 5216, 543, 4217, 1053, 538, 1620, 2035, 540, 519, 4909, 5396, 538, 10026, 1153, 543, 8600, 873, 27268, 543, 15508, 585, 1164, 1153, 2069, 269, 5664, 1153, 3610, 616, 538, 5279, 540, 1808, 5396, 538, 1082, 3506, 269, 1280, 1383, 267, 513, 2582, 4116, 786, 4001, 1896, 5396, 547, 1114, 5049, 540, 1053, 2429, 519, 1554, 563, 29557, 1153, 3610, 616, 3335, 3743, 585, 519, 1739, 4247, 912, 268, 634, 1647, 7400, 1153, 3610, 11117, 519, 1053, 547, 4137, 856, 741, 2790, 5759, 543, 12755, 538, 1114, 2175, 563, 268, 17546, 741, 840, 13807, 10165, 3584, 547, 519, 3003, 1362, 610, 4130, 2516, 563, 268, 1677, 4983, 5402, 543, 3446, 519, 1053, 685, 10467, 267, 17118, 267, 543, 11400, 563, 268, 19321, 513, 2594, 540, 519, 1453, 779, 3232, 6296, 3356, 543, 1217, 3237, 827, 741, 1126, 779, 3356, 538, 4081, 543, 1225, 14152, 2238, 563, 20779, 663, 585, 519, 2104, 912, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 7694, 3255, 585, 1647, 1153, 3610, 616, 4397, 547, 1332, 676, 476, 275, 260, 676, 476, 10711, 272, 538, 519, 2475, 563, 1103, 519, 2475, 267, 1519, 1114, 2829, 267, 5176, 476, 5325, 267, 4968, 1007, 6009, 1930, 1169, 1032, 585, 1647, 1153, 3610, 563, 6097, 547, 519, 645, 11862, 267, 972, 786, 581, 5111, 476, 277, 4029, 267, 4335, 1007, 1647, 1153, 4116, 6009, 538, 519, 1114, 2829, 540, 519, 2475, 676, 476, 10711, 272, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 585, 476, 1708, 272, 267, 519, 11667, 5993, 14057, 540, 1647, 1153, 3610, 568, 1269, 8618, 267, 27151, 829, 1032, 563, 11947, 1153, 11334, 912, 11947, 1153, 3610, 3335, 4051, 1053, 538, 9344, 476, 280, 998, 476, 1321, 540, 519, 1153, 543, 789, 3335, 20647, 538, 835, 2361, 269, 2368, 4001, 4909, 5396, 899, 2979, 267, 2257, 267, 610, 1686, 269, 11524, 1445, 593, 1528, 633, 6030, 899, 1148, 267, 2575, 267, 610, 2168, 2069, 269, 10738, 741, 1641, 1858, 267, 789, 949, 4001, 513, 3099, 540, 5049, 269, 10801, 519, 1554, 267, 1164, 1153, 3610, 949, 4051, 1053, 689, 1585, 9344, 563, 25215, 976, 2225, 540, 1164, 1153, 3610, 912, 11947, 1153, 3610, 616, 3335, 3743, 585, 519, 1739, 4247, 912, 268, 4400, 1153, 3610, 4217, 1053, 547, 581, 5423, 585, 1272, 1310, 22692, 1317, 789, 4001, 4081, 2069, 607, 1134, 607, 4001, 827, 1585, 2629, 1983, 602, 1053, 786, 991, 585, 741, 2104, 1272, 563, 268, 17546, 519, 1053, 827, 2596, 2035, 540, 519, 4245, 540, 1114, 5396, 563, 268, 4004, 6510, 609, 3237, 827, 741, 1453, 779, 3356, 27268, 543, 538, 1071, 268, 22793, 2238, 563, 268, 18554, 1053, 685, 782, 2238, 1519, 4081, 543, 856, 6361, 11665, 2238, 563, 20779, 663, 585, 519, 2104, 912, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 7694, 3255, 585, 1164, 1153, 3610, 616, 4397, 547, 1332, 676, 476, 276, 260, 676, 476, 10711, 272, 538, 519, 2475, 563, 1103, 519, 2475, 267, 1519, 1114, 2829, 267, 5176, 476, 6507, 267, 12010, 1007, 6009, 1930, 1169, 1032, 585, 1164, 1153, 3610, 563, 6097, 547, 519, 645, 11862, 267, 972, 786, 581, 5111, 476, 272, 267, 13040, 267, 1822, 1007, 1164, 1153, 4116, 6009, 538, 519, 1114, 2829, 540, 519, 2475, 676, 476, 10711, 272, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 585, 476, 1708, 272, 267, 519, 11667, 5993, 14057, 540, 1164, 1153, 3610, 568, 1269, 8618, 267, 279, 736, 829, 1032, 563, 10743, 609, 1022, 2186, 540, 2790, 267, 3929, 267, 610, 2168, 9659, 616, 6039, 543, 6026, 676, 2027, 2069, 3610, 269, 4841, 609, 5634, 543, 4049, 9124, 616, 19801, 538, 2027, 3506, 267, 1141, 789, 616, 6026, 513, 3099, 540, 4081, 5396, 3358, 547, 741, 1808, 2115, 676, 2027, 3610, 563, 27645, 538, 2027, 2069, 616, 8036, 547, 946, 1808, 2553, 543, 2409, 547, 4217, 741, 1053, 269, 4841, 538, 2027, 2069, 2039, 538, 2085, 689, 9251, 547, 1164, 1153, 563, 23777, 1227, 267, 2027, 2069, 3610, 723, 519, 1739, 11645, 912, 268, 14419, 519, 2875, 779, 5759, 543, 1010, 2790, 543, 3872, 4170, 563, 268, 17546, 1114, 2489, 5396, 547, 1053, 538, 1114, 2081, 547, 2743, 519, 2115, 540, 519, 1053, 563, 268, 4566, 543, 2966, 2027, 2238, 585, 1169, 2582, 2875, 602, 3986, 741, 2790, 5759, 563, 268, 9181, 609, 1053, 685, 3237, 741, 3232, 3356, 538, 2474, 540, 741, 1565, 5759, 563, 6097, 547, 519, 2475, 13163, 540, 8534, 10803, 267, 7694, 3255, 585, 2027, 1153, 3610, 616, 4397, 547, 1332, 676, 476, 275, 260, 676, 476, 10711, 272, 538, 519, 2475, 563, 1103, 519, 2475, 267, 1519, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1377, 540, 1153, 267, 2852, 543, 9945, 616, 6806, 269, 4107, 540, 519, 1053, 616, 10356, 741, 1702, 689, 1753, 998, 2228, 3450, 269, 24641, 25013, 3296, 540, 519, 2486, 568, 3068, 7965, 538, 17729, 2228, 3450, 1813, 547, 3668, 540, 1697, 2645, 540, 2792, 269, 4935, 4611, 538, 8635, 1851, 519, 1004, 2523, 4807, 1895, 568, 4767, 563, 1607, 15435, 568, 849, 7133, 6140, 519, 4095, 4346, 269, 20290, 476, 1691, 5186, 516, 1004, 4503, 741, 7694, 543, 23269, 941, 2759, 585, 1082, 824, 1004, 630, 1704, 1040, 634, 4747, 538, 713, 1032, 568, 6749, 547, 811, 982, 476, 3393, 260, 540, 7622, 538, 6476, 547, 519, 3105, 1032, 630, 1240, 1040, 4107, 540, 519, 1870, 543, 9746, 5823, 4299, 3648, 269, 634, 6683, 5823, 849, 4299, 5631, 519, 16027, 945, 5252, 919, 519, 829, 27720, 835, 630, 866, 1040, 634, 3232, 13848, 1895, 616, 849, 693, 519, 1034, 1981, 630, 736, 1040, 634, 6554, 540, 3127, 814, 3144, 8677, 3800, 547, 10994, 519, 2591, 543, 3463, 2014, 676, 13044, 268, 866, 6855, 543, 5305, 3063, 7482, 585, 3782, 5823, 563, 763, 13044, 268, 866, 6855, 568, 2808, 607, 513, 6574, 4161, 602, 1764, 593, 782, 8739, 2804, 543, 2797, 9922, 540, 7783, 2477, 269, 769, 2487, 2053, 267, 621, 568, 1271, 547, 1852, 519, 2707, 540, 2068, 267, 2759, 1055, 519, 6771, 2619, 267, 543, 946, 519, 4540, 5061, 1299, 1797, 547, 1852, 519, 3356, 540, 519, 2068, 30082, 269, 2353, 519, 1004, 1058, 1491, 519, 3800, 547, 2759, 519, 5832, 540, 519, 2068, 547, 3094, 519, 6855, 538, 1813, 1576, 540, 942, 1354, 621, 568, 1932, 3735, 454, 24965, 794, 540, 1268, 547, 1268, 6771, 666, 6417, 519, 1459, 13044, 268, 866, 12176, 269, 2859, 5834, 1058, 581, 2016, 547, 519, 1034, 11630, 3296, 540, 519, 2486, 642, 714, 269, 9632, 1004, 267, 1453, 2630, 476, 1015, 1296, 543, 9176, 4807, 269, 16424, 540, 1016, 30570, 3968, 543, 4466, 540, 2009, 13111, 543, 13591, 3662, 3984, 616, 519, 1883, 2609, 547, 1118, 513, 6604, 4640, 540, 1459, 12176, 610, 2104, 12176, 540, 713, 2068, 269, 6554, 1058, 1683, 632, 4186, 3133, 908, 8665, 267, 9633, 547, 1142, 543, 1169, 1004, 547, 2061, 519, 812, 547, 812, 6771, 269, 1677, 6175, 519, 3441, 4448, 609, 5046, 268, 866, 267, 1857, 1072, 543, 3968, 1852, 3527, 616, 5612, 2556, 547, 3970, 519, 2518, 3262, 540, 519, 3644, 563, 763, 5046, 268, 866, 6433, 814, 4299, 7239, 543, 11615, 1472, 519, 8608, 543, 786, 18385, 18534, 1901, 938, 1158, 607, 621, 5170, 547, 11200, 269, 2755, 519, 2887, 719, 689, 519, 6433, 568, 1312, 7586, 4328, 5432, 4220, 543, 2870, 1007, 3283, 267, 1689, 693, 713, 4336, 849, 5932, 1007, 23761, 585, 5883, 11528, 2591, 267, 543, 2081, 547, 1628, 1394, 1732, 563, 763, 6554, 849, 1491, 11036, 538, 3919, 540, 4656, 3786, 538, 6552, 2127, 540, 3127, 547, 1118, 519, 1004, 3222, 827, 519, 15324, 3800, 602, 786, 3970, 519, 6771, 540, 713, 3644, 689, 835, 1268, 547, 1776, 269, 769, 2667, 600, 267, 2852, 543, 6280, 1053, 3068, 930, 2042, 1813, 547, 3668, 540, 6190, 2228, 2835, 543, 2326, 538, 519, 4950, 269, 901, 1966, 568, 711, 519, 13337, 540, 3237, 610, 519, 1053, 3294, 855, 519, 2069, 1062, 538, 938, 1533, 602, 19330, 519, 1445, 621, 19262, 269, 10801, 519, 1032, 267, 519, 2229, 16607, 610, 5310, 3576, 1100, 1719, 538, 519, 6454, 543, 1305, 909, 513, 1455, 1565, 1184, 25274, 610, 2228, 269, 634, 1459, 3510, 568, 606, 3750, 1930, 518, 269, 14171, 538, 547, 7156, 538, 782, 519, 3344, 267, 649, 3494, 602, 968, 5035, 3336, 1565, 892, 568, 513, 2596, 1106, 540, 2069, 267, 621, 4927, 4166, 1294, 519, 1769, 540, 1554, 676, 519, 2229, 2059, 609, 519, 1071, 268, 7774, 540, 519, 3003, 2551, 538, 713, 4339, 1996, 519, 3644, 269, 0, 763, 6778, 18724, 2284, 570, 3326, 10003, 729, 8246, 607, 519, 1152, 9738, 4155, 602, 10443, 998, 12280, 9503, 563, 763, 17167, 4155, 729, 4646, 2059, 968, 289, 29354, 25538, 976, 8672, 5608, 606, 1858, 941, 7108, 27538, 23806, 1185, 11074, 1282, 741, 31939, 547, 4993, 269, 2060, 1100, 1216, 2451, 547, 2285, 547, 741, 3404, 523, 519, 23806, 7166, 782, 540, 873, 543, 12015, 741, 5779, 676, 8781, 519, 3574, 689, 741, 14460, 530, 30368, 269, 634, 23806, 4797, 741, 31939, 883, 7108, 13474, 676, 3723, 563, 13775, 676, 16803, 8466, 19475, 454, 296, 6415, 513, 9098, 14787, 543, 3656, 4274, 945, 568, 1644, 547, 2043, 945, 887, 1372, 593, 519, 2904, 17810, 6928, 267, 1977, 15713, 4651, 6723, 28224, 10001, 267, 1614, 5742, 18884, 689, 519, 772, 2529, 269, 6406, 2782, 267, 1079, 540, 7247, 22415, 1117, 609, 4937, 15593, 2006, 547, 24611, 267, 1079, 20752, 18884, 267, 543, 5518, 31187, 17619, 779, 543, 15284, 17619, 779, 1920, 563, 8698, 782, 9708, 676, 16803, 8466, 19475, 0, 3682, 12888, 22202, 4386, 950, 10729, 3568, 1932, 1454, 3940, 269, 19871, 22202, 568, 3006, 1572, 5409, 2889, 12888, 22202, 269, 1403, 519, 14401, 666, 1406, 6882, 3653, 543, 1216, 267, 789, 949, 581, 7210, 269, 13245, 14401, 6882, 1804, 3940, 6675, 689, 519, 10729, 269, 19871, 538, 519, 10729, 949, 5815, 17669, 15717, 610, 824, 1072, 2152, 952, 519, 14401, 616, 711, 2324, 7157, 563, 13312, 28017, 267, 5409, 29181, 1161, 267, 543, 2043, 609, 513, 1920, 1686, 540, 8459, 2068, 949, 581, 9415, 547, 1491, 513, 3940, 10729, 1449, 693, 1753, 269, 7216, 7020, 540, 17669, 15717, 1210, 513, 2241, 1753, 1449, 6539, 949, 948, 8190, 8459, 1599, 269, 10684, 560, 2803, 543, 7966, 9313, 6133, 10729, 3940, 1449, 17446, 267, 1818, 621, 2653, 547, 6895, 8459, 1599, 693, 1753, 563, 303, 3420, 2084, 513, 10729, 4152, 14816, 6539, 281, 875, 547, 3442, 267, 1942, 454, 3721, 476, 272, 281, 7994, 519, 9406, 7984, 710, 13281, 853, 8692, 14173, 454, 2414, 1449, 585, 3940, 538, 10729, 693, 1753, 267, 621, 779, 1898, 547, 2824, 513, 6325, 10729, 4152, 14816, 6539, 269, 9612, 585, 513, 6539, 602, 2882, 2653, 3562, 14025, 17446, 602, 1689, 2681, 1759, 593, 3940, 2157, 269, 6733, 585, 2934, 971, 607, 2656, 2164, 630, 17141, 1369, 513, 8792, 1070, 4977, 2164, 267, 543, 2653, 3562, 22345, 2681, 12125, 585, 6476, 269, 2290, 2442, 4781, 568, 519, 2290, 5153, 19871, 7984, 710, 13281, 14173, 267, 799, 3091, 476, 1911, 1449, 17446, 585, 2789, 3096, 563, 3721, 476, 273, 281, 14424, 519, 26959, 454, 308, 9068, 4152, 14816, 20164, 616, 2139, 693, 1034, 7966, 9313, 543, 3075, 560, 2803, 269, 31245, 949, 4268, 4470, 593, 519, 6216, 543, 519, 1297, 540, 17446, 3769, 269, 6333, 10992, 952, 707, 6142, 2754, 786, 3382, 610, 2569, 519, 1942, 540, 519, 17446, 609, 513, 13310, 689, 707, 4387, 269, 634, 3328, 3902, 585, 971, 4255, 9832, 689, 1269, 279, 547, 1269, 1321, 563, 3721, 476, 274, 281, 27619, 519, 7984, 710, 13281, 853, 8692, 14173, 454, 5475, 7446, 519, 3617, 10729, 4152, 14816, 6539, 543, 15388, 707, 3681, 585, 1942, 20214, 267, 1118, 707, 6718, 689, 513, 18019, 26849, 267, 3075, 32697, 267, 610, 2228, 10685, 518, 971, 607, 8835, 269, 5457, 547, 2638, 585, 1022, 3606, 3790, 267, 971, 607, 11288, 12375, 267, 950, 11449, 2228, 563, 9743, 15297, 585, 4152, 10729, 609, 513, 1753, 6539, 454, 2252, 596, 1616, 547, 1449, 585, 3940, 538, 707, 10729, 693, 1753, 267, 1246, 891, 2241, 3268, 912, 268, 27619, 513, 10729, 1449, 6539, 602, 2882, 513, 10729, 4152, 14816, 269, 1452, 17446, 616, 2139, 693, 1034, 7966, 9313, 543, 3075, 560, 2803, 563, 268, 11814, 513, 4195, 3732, 540, 707, 10729, 538, 513, 2973, 8708, 563, 268, 667, 760, 519, 10729, 4152, 14816, 883, 519, 3732, 2687, 547, 519, 6539, 779, 5528, 563, 268, 4855, 519, 2164, 676, 12805, 519, 2681, 540, 519, 14816, 547, 519, 2681, 7161, 593, 519, 6539, 779, 8708, 563, 268, 16680, 707, 2164, 538, 513, 21641, 610, 2845, 267, 2059, 609, 707, 1973, 2604, 543, 1022, 11926, 630, 539, 9047, 264, 1459, 563, 268, 3502, 1518, 707, 3782, 3318, 540, 707, 2164, 607, 4749, 607, 2838, 543, 3142, 707, 21641, 547, 1142, 4387, 779, 3643, 563, 8855, 267, 713, 1344, 1281, 711, 5372, 519, 5796, 540, 513, 2564, 3318, 269, 11408, 5077, 609, 707, 3782, 8502, 1354, 1818, 1022, 3664, 1759, 593, 1753, 4152, 2164, 563, 1692, 547, 1174, 519, 1267, 540, 519, 1449, 281, 1018, 568, 3339, 267, 1164, 267, 1970, 454, 347, 14818, 28088, 1475, 20373, 1475, 305, 5190, 585, 11778, 2008, 347, 31863, 1475, 5591, 3940, 9571, 538, 519, 10729, 3732, 282, 713, 6920, 2635, 8459, 1599, 13954, 271, 547, 476, 1691, 8406, 7933, 299, 585, 513, 4351, 10729, 3732, 282, 1447, 982, 476, 3199, 8406, 829, 476, 2190, 3108, 585, 513, 476, 2190, 16923, 10729, 3732, 8198, 347, 20181, 1475, 22102, 5666, 540, 3940, 9571, 267, 855, 711, 1713, 2614, 547, 5815, 513, 1966, 269, 589, 10729, 2890, 531, 321, 6058, 1449, 949, 581, 5340, 585, 811, 4977, 7020, 540, 1507, 5666, 540, 3940, 13954, 8253, 10858, 267, 607, 513, 1970, 1267, 568, 1369, 519, 3339, 2039, 8198, 347, 11947, 1475, 299, 24147, 5666, 540, 3940, 1336, 538, 519, 10729, 267, 799, 949, 5815, 8459, 3441, 610, 824, 1072, 2152, 971, 607, 18024, 267, 1164, 1973, 2604, 1282, 6379, 267, 610, 17256, 8778, 2042, 13954, 11749, 1132, 2362, 982, 476, 1691, 8406, 7933, 299, 585, 513, 4351, 10729, 3732, 610, 936, 476, 3199, 8406, 829, 476, 2190, 3108, 585, 513, 476, 2190, 16923, 10729, 3732, 269, 13693, 707, 3782, 8502, 585, 10531, 7664, 540, 2164, 8198, 10287, 909, 952, 2838, 454, 14818, 532, 585, 3940, 538, 10729, 693, 1753, 568, 513, 2241, 267, 20522, 5650, 602, 666, 581, 2629, 538, 519, 2038, 7020, 543, 5464, 540, 5312, 8459, 2068, 630, 290, 28474, 1040, 1677, 1685, 519, 1449, 267, 6718, 513, 10729, 1449, 14816, 267, 971, 607, 519, 3283, 2139, 693, 1034, 7966, 9313, 610, 2228, 267, 543, 3489, 513, 25551, 10729, 4015, 7484, 269, 898, 568, 19624, 547, 946, 519, 1101, 30614, 540, 519, 6640, 585, 519, 1034, 4977, 2164, 269, 3550, 519, 19058, 1858, 568, 2973, 547, 2057, 12526, 267, 543, 2445, 513, 4571, 6894, 10729, 3732, 538, 519, 7484, 563, 3682, 3865, 676, 21477, 3101, 519, 1449, 14816, 883, 519, 10729, 3732, 585, 519, 5227, 942, 630, 17141, 476, 272, 268, 273, 7643, 264, 543, 1287, 9427, 1022, 4430, 5277, 269, 27016, 2394, 519, 11280, 5114, 942, 814, 5293, 1354, 9236, 519, 2681, 540, 519, 556, 26047, 21181, 593, 519, 14816, 547, 519, 11954, 7470, 3177, 676, 519, 10672, 269, 16680, 519, 2164, 267, 2059, 609, 519, 4266, 543, 942, 267, 2901, 16924, 610, 1210, 513, 2712, 1400, 1736, 813, 899, 29706, 6020, 267, 543, 2671, 713, 1344, 609, 707, 3782, 8502, 952, 2556, 269, 8617, 4152, 666, 1683, 513, 811, 6325, 2079, 540, 3940, 2157, 538, 10729, 543, 948, 1832, 3950, 540, 1022, 2242, 538, 8459, 1072, 269, 0, 763, 5080, 19828, 13017, 9737, 25530, 543, 16170, 342, 23293, 281, 4208, 853, 11691, 10281, 3603, 568, 6206, 454, 12441, 596, 917, 602, 18024, 666, 3565, 547, 5127, 342, 23293, 286, 898, 6157, 14281, 803, 693, 1101, 1932, 256, 2913, 781, 2263, 519, 3095, 1063, 6704, 543, 5127, 342, 23293, 543, 1946, 9363, 19872, 568, 1883, 547, 7303, 3781, 6066, 10913, 563, 763, 2257, 3297, 20697, 543, 5127, 342, 23293, 454, 2691, 649, 2811, 13204, 3603, 267, 938, 4703, 3132, 1447, 10729, 543, 519, 10729, 602, 568, 3812, 568, 811, 13671, 269, 901, 666, 8886, 622, 519, 15485, 543, 1118, 621, 811, 6213, 267, 2810, 519, 20882, 547, 2712, 3729, 269, 769, 1840, 267, 950, 649, 2811, 13204, 3603, 267, 938, 4703, 3132, 1447, 540, 519, 9449, 21729, 641, 816, 514, 267, 799, 2337, 10038, 519, 2179, 540, 10729, 938, 14401, 3132, 269, 9453, 2614, 21729, 641, 816, 514, 267, 938, 14401, 949, 3132, 811, 10729, 982, 8912, 267, 1818, 5127, 342, 23293, 811, 2693, 563, 1692, 1454, 1216, 1281, 1250, 1126, 991, 888, 763, 2179, 540, 1216, 513, 1126, 2115, 5673, 593, 741, 2085, 267, 2597, 543, 2534, 1377, 269, 1306, 513, 2489, 4341, 267, 1453, 1058, 4235, 3670, 547, 5216, 14296, 540, 1216, 829, 1554, 563, 6097, 547, 3220, 7671, 773, 29928, 543, 23244, 1453, 1058, 4235, 607, 5205, 912, 289, 9081, 543, 6690, 9907, 476, 275, 268, 279, 1296, 991, 476, 272, 269, 272, 547, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 528, 15010, 5353, 3005, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 8844, 519, 14622, 717, 630, 326, 4599, 264, 2098, 1526, 1778, 476, 271, 563, 293, 4068, 1206, 1547, 1677, 960, 856, 519, 8998, 1448, 540, 519, 2083, 2280, 649, 3274, 4020, 513, 1318, 5086, 6906, 609, 3368, 5086, 589, 543, 519, 8953, 11053, 3419, 517, 5852, 6396, 3689, 649, 991, 547, 917, 519, 5086, 1063, 519, 8728, 649, 616, 2469, 547, 2083, 2280, 269, 7918, 910, 1547, 634, 30494, 568, 519, 3845, 547, 519, 8998, 1448, 693, 606, 5086, 540, 3368, 589, 4475, 281, 16429, 476, 272, 270, 273, 288, 815, 7101, 3780, 270, 23738, 26664, 23738, 26664, 815, 7101, 3780, 270, 630, 306, 514, 630, 288, 1315, 273, 4297, 4495, 596, 723, 5462, 519, 30494, 3274, 16312, 8775, 661, 713, 689, 519, 12969, 2059, 519, 1634, 7852, 543, 17967, 681, 621, 476, 272, 270, 273, 5086, 589, 674, 4068, 1206, 1547, 27270, 16387, 6396, 6987, 337, 8775, 513, 14584, 689, 519, 12969, 476, 272, 269, 29002, 674, 4068, 1206, 594, 786, 1397, 1079, 2409, 540, 8308, 17568, 519, 2083, 7410, 269, 15585, 622, 713, 14584, 476, 272, 270, 273, 5086, 589, 2349, 2658, 1547, 835, 1210, 29890, 543, 835, 1210, 4704, 9511, 602, 814, 1100, 991, 585, 513, 9498, 269, 1280, 1312, 2409, 596, 786, 991, 547, 917, 519, 5086, 1063, 519, 8728, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 519, 2083, 2280, 8953, 543, 723, 835, 6316, 13988, 547, 513, 1634, 7852, 2593, 1547, 276, 2053, 519, 8953, 269, 6271, 10421, 568, 585, 835, 540, 519, 8728, 547, 5447, 609, 513, 1634, 7852, 269, 1403, 596, 10093, 1405, 1044, 4058, 519, 4070, 540, 707, 2203, 543, 11093, 3515, 11737, 337, 3320, 596, 666, 1265, 519, 5086, 676, 8108, 513, 3068, 689, 519, 1614, 14622, 543, 1210, 519, 6316, 5086, 7735, 538, 519, 12379, 327, 13088, 476, 272, 8470, 269, 4599, 274, 323, 563, 13729, 519, 23684, 593, 519, 8998, 1448, 543, 8095, 519, 14584, 593, 519, 1439, 540, 519, 8953, 6316, 998, 606, 5086, 540, 476, 5197, 4113, 1547, 3245, 519, 8998, 1448, 16312, 8775, 513, 14584, 13902, 547, 519, 6316, 593, 519, 1634, 7852, 693, 519, 3259, 540, 519, 2083, 2280, 8953, 269, 7316, 891, 1079, 3515, 3444, 568, 519, 8998, 1448, 585, 519, 2083, 2280, 2593, 1547, 17951, 548, 589, 1546, 8541, 519, 4704, 14622, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 5804, 519, 12969, 16312, 8775, 513, 14584, 13902, 547, 519, 6316, 593, 519, 1634, 7852, 543, 519, 3259, 540, 519, 2083, 2280, 8953, 269, 4635, 519, 17180, 1907, 918, 26882, 513, 2759, 1899, 595, 27530, 6441, 11586, 1063, 519, 1079, 4704, 14622, 6252, 547, 519, 1634, 7852, 1899, 543, 2759, 513, 1007, 14584, 593, 519, 8998, 1448, 540, 519, 2083, 2280, 269, 6987, 337, 8775, 1776, 14622, 689, 713, 6252, 547, 519, 6316, 593, 519, 1634, 7852, 269, 2349, 2658, 1547, 1234, 1118, 519, 8728, 1063, 519, 2083, 2280, 543, 4478, 14622, 269, 4599, 274, 323, 269, 4649, 910, 4586, 5719, 8541, 2473, 891, 8728, 2593, 1547, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 3245, 519, 2083, 2280, 8998, 16312, 8775, 513, 14584, 476, 271, 269, 11088, 689, 519, 12969, 16312, 8775, 513, 14584, 910, 271, 269, 19244, 713, 5650, 547, 3132, 519, 5377, 2083, 2280, 269, 3374, 7825, 269, 4599, 274, 323, 269, 272, 593, 519, 962, 7852, 585, 519, 4395, 2083, 2280, 1287, 16312, 8775, 713, 476, 271, 269, 272, 538, 519, 962, 7852, 630, 323, 2700, 540, 8953, 264, 543, 1287, 16312, 8775, 713, 1657, 519, 476, 2568, 4110, 6316, 269, 1287, 17967, 681, 519, 14584, 910, 2568, 5232, 269, 2349, 2658, 1547, 21093, 1394, 547, 519, 7452, 13104, 649, 786, 946, 519, 4704, 9511, 1505, 547, 2990, 519, 2083, 7410, 609, 513, 1507, 8953, 540, 476, 271, 269, 634, 5086, 1063, 519, 8728, 568, 476, 6344, 5232, 269, 8564, 782, 589, 543, 1287, 918, 12928, 1057, 630, 2750, 716, 264, 513, 14584, 593, 519, 476, 2568, 4110, 2587, 1194, 1899, 2879, 6260, 519, 2759, 595, 27530, 6441, 11586, 547, 519, 6316, 1305, 693, 519, 8953, 3845, 689, 519, 7452, 13104, 269, 3245, 519, 12969, 593, 519, 3330, 540, 519, 5086, 16312, 8775, 661, 513, 14584, 2059, 519, 2098, 7852, 476, 271, 269, 1839, 593, 519, 962, 7852, 585, 519, 1394, 2083, 2280, 269, 6321, 910, 1547, 769, 6316, 2824, 7154, 2046, 645, 7466, 547, 3142, 909, 519, 5542, 18048, 2569, 519, 2450, 540, 519, 5542, 5858, 24448, 543, 2824, 700, 11586, 519, 8728, 1063, 519, 2083, 7410, 269, 1428, 7825, 269, 8564, 519, 1007, 14584, 799, 814, 1044, 2813, 593, 519, 2083, 2280, 8998, 543, 26882, 519, 23684, 547, 621, 269, 272, 7825, 543, 513, 1804, 8953, 540, 476, 271, 269, 769, 519, 12379, 327, 13088, 8470, 1305, 26440, 337, 281, 2568, 543, 5153, 281, 278, 543, 8095, 519, 1079, 14622, 563, 572, 937, 519, 4704, 14622, 2059, 609, 1346, 593, 519, 3312, 5086, 12969, 338, 543, 18419, 873, 269, 1284, 616, 1631, 2451, 609, 519, 2083, 2280, 781, 543, 1283, 543, 5377, 8728, 540, 519, 7452, 13104, 11065, 871, 538, 7638, 23753, 8564, 7154, 269, 21741, 1394, 883, 22478, 25042, 543, 979, 547, 4395, 2070, 6613, 303, 611, 268, 272, 269, 8564, 782, 589, 519, 14622, 543, 21741, 883, 8629, 25042, 269, 2705, 607, 1354, 519, 23684, 568, 538, 519, 4636, 2990, 269, 2349, 2658, 1547, 29196, 4149, 595, 2720, 528, 15010, 5353, 3005, 269, 769, 519, 12379, 327, 13088, 8470, 1305, 26440, 337, 281, 11740, 543, 5153, 281, 5038, 2046, 8095, 547, 1106, 519, 476, 274, 291, 1843, 2593, 1547, 8564, 782, 14622, 589, 543, 4894, 8935, 7632, 654, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 8564, 513, 14584, 2901, 1439, 540, 513, 7508, 6316, 543, 2046, 674, 547, 7696, 513, 1007, 6316, 269, 1284, 616, 1631, 2451, 609, 513, 6192, 3444, 3296, 998, 519, 7452, 13104, 4712, 547, 8095, 883, 519, 476, 274, 291, 1843, 269, 4599, 274, 323, 269, 6872, 910, 1547, 19244, 713, 585, 782, 519, 1930, 6810, 269, 10965, 777, 519, 23684, 5196, 519, 1843, 8998, 563, 18208, 595, 27530, 5336, 547, 1930, 519, 19257, 2928, 1016, 10624, 543, 2824, 834, 311, 10871, 2668, 13298, 982, 18110, 519, 20592, 1184, 649, 786, 26134, 713, 7452, 13104, 543, 19257, 2928, 621, 2066, 519, 12946, 8998, 269, 6744, 519, 23684, 568, 1869, 593, 519, 1843, 8998, 7868, 7452, 13104, 568, 1631, 3592, 2347, 269, 5637, 28545, 695, 3658, 723, 1631, 1044, 2813, 865, 621, 568, 942, 547, 2285, 873, 513, 6209, 2012, 269, 4964, 595, 27530, 8862, 543, 4688, 707, 960, 2593, 1547, 634, 3803, 3334, 585, 519, 12946, 10198, 616, 519, 4963, 743, 2354, 602, 11677, 519, 7452, 695, 3658, 538, 1747, 269, 8564, 1773, 2033, 538, 519, 856, 4802, 518, 543, 1287, 538, 519, 25103, 543, 10049, 8470, 1689, 922, 2012, 547, 28267, 281, 2568, 279, 27691, 1752, 288, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 5685, 880, 519, 7452, 13104, 676, 4946, 606, 22750, 590, 5902, 1110, 8595, 849, 2143, 538, 3487, 268, 275, 269, 4962, 7825, 9106, 2536, 269, 6812, 910, 1547, 769, 6316, 2824, 7154, 8520, 2824, 519, 2185, 6316, 17787, 8612, 29196, 25575, 339, 7304, 11586, 4635, 519, 2142, 767, 10418, 7097, 2143, 538, 3487, 268, 275, 269, 4599, 274, 323, 269, 2349, 2658, 1547, 4964, 29196, 5937, 547, 26134, 519, 1843, 1287, 18521, 547, 4734, 519, 26134, 593, 1283, 540, 519, 3312, 269, 21741, 883, 8629, 25042, 543, 979, 547, 519, 2427, 2070, 6613, 303, 611, 268, 274, 269, 1452, 616, 4988, 538, 519, 1985, 3296, 269, 589, 28545, 13104, 786, 849, 581, 2838, 593, 519, 824, 2427, 540, 519, 12946, 269, 855, 9106, 325, 619, 616, 2838, 593, 519, 15174, 269, 1039, 513, 476, 271, 269, 19244, 713, 585, 1773, 2033, 269, 9826, 20803, 621, 28267, 281, 2568, 279, 27691, 1752, 289, 563, 2568, 279, 645, 8960, 3487, 268, 278, 3525, 2454, 519, 19449, 743, 760, 634, 4963, 743, 760, 568, 7654, 519, 15864, 540, 519, 2694, 547, 2203, 269, 4964, 8095, 547, 1106, 519, 476, 274, 291, 8258, 269, 10544, 717, 543, 1847, 873, 476, 272, 269, 5269, 2386, 596, 723, 5697, 519, 14622, 593, 519, 1394, 6316, 607, 1134, 607, 1346, 593, 519, 4395, 269, 4599, 274, 323, 269, 1733, 12241, 538, 8629, 25042, 979, 547, 519, 2427, 2070, 6613, 303, 611, 268, 274, 543, 609, 519, 23684, 593, 519, 12946, 8998, 7696, 513, 1773, 2033, 630, 22129, 547, 1930, 519, 15484, 7901, 1287, 5410, 285, 300, 21983, 285, 5522, 2033, 1040, 2349, 2658, 1547, 8564, 519, 2451, 14622, 269, 1284, 786, 1376, 676, 29780, 513, 1773, 2033, 1843, 547, 1106, 519, 4963, 743, 760, 269, 1839, 538, 519, 2098, 7852, 865, 519, 554, 697, 3587, 476, 271, 269, 4037, 269, 8564, 1079, 17787, 540, 14622, 998, 519, 8258, 543, 2473, 18419, 873, 547, 1106, 519, 6679, 538, 519, 4963, 743, 760, 269, 277, 538, 519, 962, 7852, 865, 519, 8700, 3587, 476, 271, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 6795, 910, 1547, 3619, 883, 4395, 2070, 6613, 303, 611, 268, 272, 543, 8095, 519, 14622, 1472, 519, 12946, 8998, 2593, 1547, 8844, 519, 14622, 865, 519, 1283, 1318, 14584, 568, 17479, 538, 519, 4963, 743, 760, 9240, 913, 540, 519, 9018, 5198, 269, 8564, 519, 5377, 14622, 10544, 543, 1847, 873, 476, 272, 269, 275, 7825, 269, 769, 519, 12379, 327, 13088, 8470, 5590, 26440, 337, 281, 11740, 5153, 281, 5038, 563, 7922, 2658, 1547, 2568, 910, 1547, 2414, 1450, 519, 4963, 743, 760, 547, 581, 929, 2213, 856, 609, 513, 8325, 1907, 519, 2759, 998, 519, 4963, 743, 760, 568, 1500, 693, 606, 5086, 269, 25767, 519, 4963, 743, 760, 29196, 5937, 1287, 18521, 547, 4734, 621, 538, 519, 1482, 2990, 269, 8564, 782, 519, 14622, 589, 543, 538, 519, 12379, 327, 13088, 8470, 2046, 834, 13729, 3911, 26743, 2668, 1260, 1547, 1677, 1106, 713, 2824, 519, 2185, 14622, 593, 519, 9018, 6316, 540, 519, 2736, 543, 17967, 681, 873, 689, 519, 8998, 540, 519, 4963, 743, 760, 269, 15585, 622, 707, 2070, 543, 2824, 519, 476, 275, 14622, 593, 835, 540, 519, 1930, 7475, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 269, 4599, 274, 323, 269, 5685, 880, 519, 4963, 743, 760, 676, 4946, 606, 22750, 590, 5902, 1110, 8595, 609, 519, 9949, 5468, 607, 2143, 538, 851, 476, 275, 1677, 9096, 1055, 649, 786, 11604, 713, 4963, 743, 760, 5196, 519, 824, 2427, 540, 519, 12946, 269, 4962, 7825, 2083, 2280, 269, 2060, 519, 23684, 1869, 593, 519, 1843, 8998, 595, 27530, 5336, 585, 11604, 543, 2824, 834, 311, 10871, 2668, 8564, 782, 519, 8728, 540, 519, 7475, 269, 769, 1843, 25042, 979, 883, 2427, 2070, 269, 634, 23652, 4963, 743, 760, 786, 581, 8272, 549, 1042, 5196, 519, 824, 2427, 540, 519, 12946, 269, 4635, 519, 581, 767, 8998, 7097, 2143, 538, 851, 476, 275, 1039, 513, 476, 271, 269, 1684, 519, 1482, 593, 519, 824, 1930, 1439, 269, 4964, 674, 547, 7696, 513, 3068, 269, 3619, 883, 6316, 2824, 7154, 543, 8520, 2824, 519, 2185, 6316, 17787, 8108, 519, 6418, 543, 9018, 6316, 29196, 2704, 339, 7304, 11586, 563, 9826, 543, 556, 4067, 621, 28267, 281, 2568, 279, 4211, 597, 743, 760, 289, 2334, 29349, 519, 20592, 540, 519, 3334, 585, 519, 2143, 12946, 2593, 1547, 4599, 274, 323, 269, 4964, 595, 27530, 8862, 543, 4688, 707, 960, 269, 769, 519, 4934, 4802, 518, 1930, 519, 3750, 12835, 585, 782, 519, 2694, 547, 3142, 873, 883, 2070, 269, 276, 2929, 14622, 2484, 811, 982, 1250, 2025, 7193, 666, 6023, 269, 1677, 973, 777, 281, 519, 12981, 543, 2645, 596, 723, 4988, 538, 713, 5850, 1331, 269, 634, 28545, 1744, 3658, 3382, 1034, 540, 519, 3334, 865, 596, 949, 1616, 547, 12404, 835, 540, 519, 7452, 695, 3658, 630, 11073, 4802, 518, 3750, 12835, 1040, 1822, 14622, 621, 786, 2154, 513, 2603, 540, 596, 5904, 2200, 952, 596, 723, 1082, 540, 891, 538, 606, 10198, 269, 7093, 17800, 3525, 2454, 6651, 1635, 281, 7917, 8738, 651, 8940, 28629, 1547, 1103, 519, 856, 4802, 518, 2824, 1773, 2033, 543, 1287, 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 ]
[ 529, 16511, 919, 519, 1982, 267, 2707, 3009, 267, 543, 8261, 2985, 585, 513, 4971, 630, 604, 782, 1344, 568, 2139, 1040, 283, 1962, 12481, 1962, 285, 1280, 1383, 267, 547, 1265, 856, 1141, 524, 561, 338, 546, 543, 922, 812, 2985, 616, 267, 1826, 281, 524, 1141, 529, 561, 338, 546, 634, 3977, 786, 1413, 1945, 899, 281, 561, 338, 281, 1315, 16535, 270, 3149, 1315, 23591, 270, 3333, 732, 270, 2006, 270, 2006, 272, 270, 3149, 269, 272, 3052, 345, 12398, 589, 2656, 1259, 547, 3406, 585, 6119, 9170, 593, 519, 6119, 2448, 269, 1280, 1383, 267, 596, 666, 1265, 782, 6119, 543, 1463, 1559, 602, 2270, 519, 2012, 4699, 9926, 8759, 546, 676, 17511, 281, 12398, 4779, 345, 8759, 1265, 589, 1360, 3532, 4971, 267, 855, 3006, 16602, 547, 946, 269, 898, 666, 581, 1031, 547, 3406, 585, 6119, 12805, 1978, 3270, 267, 607, 1134, 607, 1082, 824, 2010, 540, 19707, 269, 283, 1962, 12481, 1962, 285, 589, 2241, 1383, 568, 281, 1265, 1547, 910, 4067, 1422, 265, 5404, 274, 901, 1383, 6238, 10478, 538, 519, 1699, 15682, 524, 269, 546, 543, 782, 1016, 268, 1463, 1559, 267, 3168, 585, 6119, 609, 4699, 335, 274, 546, 693, 519, 1439, 540, 741, 4408, 269, 476, 276, 269, 274, 22252, 1049, 2155, 1343, 634, 1739, 12981, 616, 1031, 547, 1265, 856, 930, 1344, 827, 519, 3593, 610, 519, 1062, 269, 283, 1962, 12481, 1962, 285, 12380, 16710, 19247, 27666, 700, 1235, 4867, 4881, 1184, 630, 2889, 31810, 1040, 530, 8058, 945, 568, 29429, 593, 543, 1018, 789, 616, 3257, 269, 7329, 7179, 707, 3593, 268, 573, 543, 1895, 7329, 781, 17093, 7797, 6119, 2448, 12210, 2230, 6165, 630, 524, 291, 7416, 5131, 546, 568, 875, 594, 3314, 621, 264, 5918, 2598, 330, 26402, 538, 513, 1880, 15682, 269, 283, 1962, 12481, 1962, 285, 524, 5918, 910, 338, 546, 2488, 513, 5758, 585, 519, 1699, 15682, 269, 1283, 2598, 680, 904, 17765, 3157, 538, 513, 2407, 1606, 10547, 717, 21397, 269, 589, 1390, 1259, 547, 1294, 519, 2534, 593, 707, 2780, 538, 1483, 6066, 269, 283, 1962, 12481, 1962, 285, 7392, 524, 304, 546, 547, 16718, 269, 1863, 2598, 680, 904, 2179, 540, 1863, 543, 1031, 3965, 538, 519, 1062, 269, 3032, 1315, 2889, 322, 11305, 30298, 16769, 2598, 680, 904, 1344, 827, 707, 17765, 269, 283, 1962, 12481, 1962, 285, 3032, 1315, 2889, 322, 8276, 655, 16769, 18224, 6266, 540, 1344, 827, 1699, 3965, 6165, 269, 796, 877, 910, 320, 2398, 6493, 1062, 1344, 547, 519, 5496, 630, 330, 14533, 4528, 267, 3684, 1826, 267, 3092, 4700, 476, 276, 269, 275, 4033, 7780, 1988, 3371, 616, 930, 824, 12981, 602, 616, 3730, 547, 917, 269, 12380, 16710, 13517, 2312, 13068, 519, 5496, 16079, 18224, 1257, 593, 519, 5496, 269, 283, 1962, 12481, 1962, 285, 4107, 569, 3730, 950, 1603, 7387, 20072, 269, 1280, 1383, 281, 16079, 524, 15916, 2622, 546, 811, 18224, 513, 3758, 267, 610, 1982, 3977, 835, 2985, 693, 513, 942, 269, 6201, 281, 811, 544, 335, 274, 325, 3796, 17902, 561, 338, 910, 5055, 1923, 811, 1447, 1323, 4824, 10682, 585, 519, 524, 811, 546, 4971, 269, 283, 1962, 12481, 1962, 285, 14190, 338, 596, 547, 20801, 23651, 607, 1134, 607, 585, 2072, 269, 6067, 335, 9612, 585, 513, 4806, 538, 513, 3758, 610, 1982, 3977, 269, 1280, 1383, 267, 547, 1265, 856, 799, 27427, 3060, 2823, 568, 1031, 676, 519, 524, 333, 12028, 546, 3028, 267, 596, 666, 798, 713, 281, 6067, 335, 524, 333, 12028, 546, 1315, 31756, 4882, 26236, 901, 5654, 585, 1022, 1899, 602, 3568, 519, 5569, 524, 333, 12028, 546, 538, 519, 3758, 524, 270, 31756, 4882, 26236, 546, 543, 10525, 1152, 1346, 3515, 269, 283, 1962, 12481, 1962, 285, 561, 1440, 7179, 513, 3758, 610, 1982, 3977, 269, 6201, 281, 561, 1440, 544, 335, 274, 325, 3796, 17902, 910, 7179, 519, 544, 335, 274, 325, 3796, 17902, 3758, 561, 338, 910, 5055, 1923, 561, 1440, 910, 7179, 519, 3977, 540, 519, 524, 561, 338, 910, 5055, 546, 4971, 269, 4990, 23037, 513, 3758, 610, 1982, 3977, 269, 283, 1962, 12481, 1962, 285, 7151, 281, 4990, 544, 335, 274, 325, 3796, 17902, 647, 524, 18933, 3558, 14871, 546, 269, 14190, 338, 596, 547, 6467, 547, 1776, 3593, 781, 2272, 17303, 269, 634, 9949, 2272, 547, 6467, 547, 568, 519, 3597, 4882, 10967, 12528, 2272, 269, 283, 1962, 12481, 1962, 285, 6201, 281, 647, 910, 22732, 519, 3597, 2272, 647, 910, 910, 22732, 547, 3597, 267, 543, 2845, 538, 609, 3597, 781, 1604, 647, 12586, 787, 910, 22732, 547, 32632, 781, 2272, 476, 276, 269, 276, 10374, 25797, 547, 5269, 621, 782, 31418, 1512, 256, 1879, 596, 1376, 1210, 519, 645, 1662, 7387, 811, 1419, 267, 596, 786, 5660, 891, 31930, 602, 666, 4688, 596, 1360, 1454, 17511, 942, 269, 10374, 12827, 13517, 5455, 22230, 1144, 1488, 992, 32368, 2480, 2651, 998, 707, 1034, 2487, 12981, 269, 283, 1962, 12481, 1962, 285, 1411, 666, 20801, 1394, 547, 606, 2025, 4971, 267, 5734, 661, 715, 9898, 2073, 543, 14892, 519, 4971, 1510, 2348, 547, 556, 15178, 621, 269, 524, 1686, 546, 4971, 8058, 707, 2347, 4971, 1686, 269, 570, 9474, 7388, 5406, 1403, 596, 1826, 513, 9864, 4971, 610, 32197, 602, 519, 7387, 17767, 267, 596, 666, 723, 621, 8850, 6192, 585, 596, 952, 596, 2046, 519, 570, 9474, 1883, 269, 283, 1962, 12481, 1962, 285, 8347, 17511, 519, 1101, 1906, 3197, 540, 707, 19463, 12380, 4971, 267, 1287, 5734, 570, 9474, 513, 7008, 540, 2053, 547, 1294, 1018, 4523, 269, 13159, 2487, 12981, 609, 524, 256, 546, 8347, 713, 281, 7392, 524, 8206, 546, 4553, 676, 519, 1101, 7008, 540, 5022, 540, 513, 2487, 4971, 543, 2046, 661, 715, 9898, 8206, 283, 1962, 12481, 1962, 285, 1280, 1383, 267, 1826, 281, 1265, 1315, 23591, 24800, 910, 6943, 535, 910, 4067, 544, 315, 265, 3267, 663, 1631, 1826, 281, 8206, 25206, 9612, 707, 4971, 1686, 609, 11632, 12435, 7304, 4964, 11632, 12435, 7304, 543, 1287, 1826, 1022, 6712, 540, 513, 2487, 4971, 269, 898, 786, 3406, 519, 12981, 585, 596, 267, 543, 2899, 596, 1265, 519, 4971, 596, 1616, 267, 1175, 2046, 661, 715, 9898, 1547, 2480, 13764, 519, 5496, 609, 29196, 268, 8525, 10000, 543, 8525, 13560, 2480, 2651, 1394, 543, 4464, 998, 707, 12363, 269, 283, 1962, 12481, 1962, 285, 476, 277, 269, 271, 4329, 7335, 13017, 17372, 13517, 5291, 2517, 4178, 269, 665, 29888, 269, 517, 28022, 31747, 4516, 12380, 20305, 6828, 269, 589, 1895, 609, 606, 3742, 544, 9430, 1592, 267, 10865, 11401, 267, 543, 1454, 811, 269, 5291, 2517, 4178, 20216, 527, 32662, 1881, 2593, 31747, 781, 2707, 585, 6129, 2866, 267, 543, 519, 3984, 540, 744, 12710, 308, 294, 781, 2029, 29468, 269, 283, 1962, 12481, 1962, 285, 5291, 2517, 4178, 8807, 338, 325, 3820, 634, 5131, 12229, 7690, 269, 11657, 566, 267, 2707, 3009, 267, 543, 1454, 811, 585, 1082, 3292, 4122, 1336, 593, 12380, 1949, 269, 5291, 2517, 4802, 5060, 3820, 6230, 339, 270, 14835, 270, 3410, 1400, 524, 288, 10670, 1676, 781, 645, 1662, 546, 269, 283, 1962, 12481, 1962, 285, 6271, 1360, 1434, 4367, 547, 645, 1662, 269, 5291, 2517, 4178, 269, 648, 11035, 2593, 11305, 7614, 690, 11486, 1662, 273, 1323, 5140, 1433, 952, 596, 1616, 547, 1451, 875, 547, 21160, 645, 1662, 543, 946, 621, 585, 7387, 7097, 5752, 269, 2999, 1962, 12481, 1962, 285, 0, 15916, 267, 3733, 2012, 568, 12770, 543, 713, 568, 1250, 8086, 585, 1018, 649, 1044, 3257, 713, 1770, 563, 2171, 1044, 8384, 7044, 540, 3979, 2575, 543, 1818, 938, 1378, 3979, 10726, 269, 1284, 4682, 547, 513, 2650, 24577, 3896, 799, 729, 513, 2575, 3896, 543, 602, 2575, 3896, 1185, 3872, 1919, 543, 1344, 269, 1284, 1500, 930, 18819, 602, 649, 1185, 547, 1397, 519, 1362, 269, 1306, 513, 1362, 649, 31025, 513, 5152, 1572, 695, 657, 3128, 334, 5633, 269, 1284, 849, 19557, 547, 3979, 1289, 543, 3210, 769, 596, 32353, 799, 729, 1187, 563, 2171, 4121, 827, 20008, 520, 4577, 10253, 543, 513, 7784, 18849, 7544, 799, 1772, 899, 7148, 15472, 267, 519, 7784, 25192, 941, 1360, 4277, 1317, 898, 814, 513, 2603, 540, 1686, 269, 1656, 519, 824, 3364, 649, 1705, 729, 649, 1500, 616, 1378, 1289, 543, 3210, 538, 4891, 269, 3733, 1289, 543, 3210, 729, 1572, 26124, 7599, 543, 898, 594, 1185, 513, 7649, 948, 803, 609, 621, 269, 634, 5152, 729, 2110, 855, 729, 7368, 1079, 2053, 563, 14188, 596, 585, 2542, 1250, 8086, 269, 0, 19350, 616, 519, 1101, 476, 1015, 543, 2063, 476, 1015, 3817, 540, 4608, 8091, 539, 3684, 22345, 1257, 630, 15290, 2139, 264, 540, 713, 3184, 267, 4553, 676, 519, 1283, 476, 1789, 5690, 1227, 13939, 1883, 2453, 689, 519, 3184, 607, 513, 2898, 563, 4504, 2105, 547, 1683, 938, 1378, 3406, 9817, 543, 5007, 9817, 609, 3810, 3638, 267, 3184, 3146, 30005, 894, 3406, 762, 1257, 593, 519, 6679, 3817, 540, 1142, 3184, 269, 5221, 621, 568, 6167, 290, 3036, 3918, 6311, 3633, 1570, 267, 5225, 2015, 519, 1739, 1257, 607, 513, 3730, 855, 13385, 21285, 585, 519, 22265, 1433, 3817, 563, 2710, 711, 946, 585, 12093, 267, 25718, 267, 2250, 532, 267, 610, 2542, 282, 14311, 585, 3406, 9817, 563, 8016, 305, 585, 2985, 476, 6246, 454, 17273, 476, 6246, 476, 274, 8092, 2422, 7827, 538, 6611, 543, 5384, 634, 4525, 540, 3127, 267, 3624, 267, 543, 519, 2136, 2276, 4330, 538, 713, 4320, 616, 1142, 2189, 267, 607, 782, 4025, 616, 269, 476, 272, 1809, 798, 789, 723, 1455, 20559, 1043, 3270, 540, 2244, 946, 1689, 602, 949, 1683, 4030, 883, 519, 6384, 540, 875, 1004, 543, 4025, 2170, 286, 634, 10222, 5025, 322, 611, 5519, 5741, 8947, 543, 3379, 519, 28868, 267, 3270, 267, 543, 2404, 10305, 540, 2244, 946, 1689, 538, 3670, 1353, 4525, 1765, 298, 27092, 267, 3127, 282, 670, 776, 3570, 267, 3127, 282, 808, 527, 2967, 19438, 267, 3624, 282, 23421, 5211, 18647, 267, 3624, 282, 3162, 8419, 267, 7330, 282, 543, 9628, 267, 7330, 269, 769, 3257, 865, 267, 1788, 3173, 6913, 513, 6251, 1413, 693, 519, 23091, 535, 919, 540, 519, 4104, 1633, 267, 31922, 267, 26868, 267, 6694, 2244, 267, 543, 3710, 5346, 2244, 538, 1346, 4525, 269, 634, 7004, 689, 1447, 703, 13208, 9168, 7733, 267, 31922, 267, 543, 26868, 267, 547, 2244, 3096, 609, 3152, 1480, 14842, 267, 971, 607, 6694, 4610, 543, 4683, 5468, 267, 568, 519, 1034, 8912, 18330, 855, 711, 519, 1152, 835, 630, 288, 10961, 701, 1696, 620, 1421, 476, 1960, 275, 1040, 589, 6476, 540, 891, 543, 824, 14759, 2488, 519, 5748, 585, 519, 2079, 540, 2551, 270, 1633, 946, 6384, 4330, 538, 713, 3184, 269, 634, 3804, 540, 713, 2079, 267, 607, 609, 824, 2244, 946, 1689, 2090, 267, 568, 547, 3565, 547, 519, 5610, 540, 519, 2067, 543, 1514, 9443, 267, 519, 3095, 720, 540, 2257, 547, 3609, 267, 543, 519, 1646, 540, 11444, 547, 4264, 1646, 269, 630, 31282, 518, 267, 476, 1960, 272, 282, 674, 637, 1723, 1696, 620, 1421, 476, 1960, 278, 1040, 476, 272, 1103, 519, 1739, 10839, 12990, 968, 28134, 270, 1633, 946, 2090, 892, 585, 968, 20931, 27535, 968, 15899, 5991, 1049, 13354, 1686, 666, 24183, 1079, 14669, 855, 8449, 14124, 1095, 6269, 657, 1431, 9789, 21903, 540, 2698, 2834, 640, 543, 602, 540, 6207, 22464, 269, 9061, 5991, 1049, 1686, 267, 676, 4203, 31021, 835, 609, 1018, 4422, 593, 11992, 267, 949, 8300, 513, 2565, 4656, 540, 1018, 568, 3144, 585, 11292, 538, 835, 781, 1378, 2197, 267, 855, 621, 849, 8992, 513, 6284, 602, 2147, 3252, 949, 581, 5340, 676, 18312, 1797, 892, 630, 293, 1042, 518, 6506, 517, 267, 476, 1960, 279, 1916, 8016, 305, 585, 2985, 476, 4510, 454, 17273, 476, 4510, 4635, 519, 1455, 4756, 1239, 1305, 2919, 676, 519, 10222, 5025, 322, 611, 5519, 5741, 267, 3173, 8947, 519, 12556, 540, 7733, 267, 31922, 267, 543, 26868, 538, 519, 3670, 1353, 4525, 543, 27424, 519, 2470, 540, 2242, 538, 6694, 2127, 543, 5186, 6137, 3270, 543, 540, 2242, 538, 4683, 610, 3710, 5346, 2127, 269, 7324, 824, 1919, 267, 519, 1239, 4847, 873, 547, 1449, 519, 1455, 11994, 602, 1447, 703, 13208, 7307, 3338, 971, 607, 7733, 616, 19394, 21866, 3585, 543, 602, 3710, 5346, 2127, 616, 6385, 9750, 10876, 269, 634, 1353, 5059, 267, 538, 1880, 267, 593, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 12983, 971, 607, 30886, 267, 10343, 267, 543, 7130, 616, 4749, 9619, 998, 519, 7828, 540, 16750, 2833, 269, 1280, 1383, 267, 8845, 654, 6856, 26709, 781, 3212, 10134, 3126, 3096, 30632, 597, 1143, 607, 606, 14336, 800, 585, 16770, 10299, 3676, 267, 10223, 519, 2956, 540, 2922, 2853, 543, 1930, 2792, 1851, 14038, 780, 1103, 1840, 267, 519, 26841, 540, 6963, 539, 30632, 790, 12325, 3091, 3255, 585, 13857, 5717, 593, 1379, 6384, 543, 9844, 269, 1306, 891, 3197, 4865, 9058, 5759, 267, 789, 1590, 1451, 547, 1852, 741, 3527, 543, 2463, 6302, 1107, 1983, 2629, 585, 3384, 2635, 3347, 1282, 18273, 269, 5015, 267, 20392, 1762, 4079, 547, 971, 6386, 11942, 2565, 3206, 543, 6568, 267, 7175, 873, 547, 1732, 1174, 543, 6330, 14375, 3871, 780, 7661, 267, 621, 568, 1898, 547, 2015, 875, 519, 4473, 540, 6963, 539, 30632, 790, 12325, 9356, 6626, 2686, 10593, 269, 634, 2810, 3747, 585, 11541, 543, 15491, 3197, 19141, 2486, 781, 3395, 6284, 540, 1367, 6988, 269, 3958, 267, 519, 9860, 540, 3444, 24932, 516, 1568, 630, 324, 3052, 1421, 9256, 16897, 267, 15832, 267, 543, 2257, 5708, 264, 9727, 3988, 262, 7287, 585, 3309, 9423, 2553, 543, 1641, 6927, 269, 9182, 267, 4974, 6963, 539, 30632, 790, 12325, 2488, 3407, 4030, 883, 9687, 5339, 16919, 543, 7375, 780, 1103, 3932, 267, 519, 4720, 540, 30632, 790, 6386, 689, 5929, 20599, 2984, 547, 29293, 540, 6963, 539, 12325, 4564, 513, 1713, 6521, 538, 1312, 2442, 2528, 543, 6107, 7924, 269, 3414, 2502, 609, 891, 5931, 267, 2852, 1053, 666, 15052, 741, 1620, 540, 3140, 543, 4207, 2152, 1247, 28798, 10763, 1983, 2556, 585, 9691, 10442, 1585, 2923, 12043, 269, 11086, 267, 8508, 519, 3638, 13795, 540, 6963, 539, 30632, 790, 12325, 6087, 5640, 543, 12439, 7567, 547, 5660, 519, 11972, 9029, 540, 891, 9159, 7068, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 798, 596, 899, 707, 30632, 2231, 888, 9213, 267, 789, 2097, 538, 865, 1082, 5546, 543, 7306, 602, 596, 1522, 607, 1134, 581, 19280, 1055, 519, 10624, 693, 513, 5397, 6253, 745, 13962, 269, 968, 25898, 596, 899, 930, 8141, 956, 609, 602, 9495, 1358, 616, 1631, 12325, 267, 5636, 1622, 267, 543, 3388, 538, 1063, 269, 1358, 4076, 2097, 513, 1279, 1259, 689, 519, 3109, 543, 3043, 7068, 540, 853, 20269, 779, 32161, 9661, 563, 309, 2086, 790, 561, 648, 814, 11478, 11014, 543, 538, 5176, 1169, 7944, 540, 519, 1158, 269, 4634, 2477, 1510, 1808, 267, 610, 968, 20598, 2223, 30632, 790, 7242, 657, 723, 1945, 899, 621, 269, 8466, 5515, 971, 607, 27388, 570, 788, 525, 630, 1231, 17508, 14121, 1856, 1915, 585, 968, 291, 571, 1529, 320, 14615, 543, 10906, 24872, 800, 723, 1044, 16113, 1572, 968, 9418, 1272, 892, 30632, 2231, 269, 6787, 8308, 15034, 540, 741, 26481, 10963, 610, 711, 267, 519, 17691, 6414, 563, 763, 8560, 540, 30632, 2231, 2221, 568, 711, 2731, 4376, 1007, 267, 855, 519, 8560, 540, 519, 30632, 790, 5869, 568, 267, 689, 2835, 547, 9413, 547, 8613, 2982, 269, 898, 3947, 31510, 5436, 5830, 513, 2484, 6626, 2039, 540, 3681, 563, 3383, 267, 1018, 779, 513, 5856, 547, 798, 888, 293, 541, 581, 621, 689, 803, 547, 2161, 602, 1169, 17328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 966, 2086, 2231, 1315, 1234, 11526, 966, 2086, 790, 32445, 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 ]
[ 271, 348, 281, 29717, 8971, 29495, 264, 952, 1257, 11203, 15234, 3116, 1412, 7055, 1038, 1582, 269, 6352, 815, 1582, 269, 754, 910, 1582, 269, 11034, 692, 1038, 952, 630, 12296, 910, 27107, 294, 2562, 264, 538, 2039, 263, 271, 267, 667, 9128, 288, 17109, 318, 310, 2839, 8025, 2187, 2018, 1582, 9884, 5954, 815, 8700, 910, 27107, 294, 2562, 454, 1038, 3116, 912, 2018, 1582, 9884, 5954, 815, 667, 9128, 288, 17109, 318, 310, 2839, 8025, 692, 1038, 1582, 269, 8663, 815, 29038, 4840, 1038, 1582, 4877, 659, 2006, 815, 621, 1068, 8962, 269, 12860, 27456, 3722, 32602, 994, 1038, 1582, 6983, 22929, 815, 621, 1068, 8962, 269, 12860, 18154, 13263, 312, 994, 1038, 1582, 6983, 22929, 8663, 815, 1496, 14085, 316, 2608, 1582, 9884, 5954, 692, 1038, 585, 1775, 538, 2039, 4311, 9884, 5954, 2187, 2018, 1582, 6983, 22929, 8663, 5157, 316, 815, 1985, 4311, 6983, 22929, 2020, 1038, 585, 1775, 538, 2039, 12759, 4311, 6983, 22929, 8663, 15892, 2018, 1582, 11519, 31095, 4311, 6983, 22929, 8663, 5157, 7481, 1038, 1582, 11519, 31095, 2891, 316, 15419, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 31095, 263, 7407, 267, 31391, 8782, 7473, 293, 268, 279, 262, 2187, 1038, 8173, 1038, 3503, 519, 2418, 538, 519, 17280, 692, 1038, 2433, 12407, 1871, 281, 10025, 547, 2328, 454, 1038, 2433, 12407, 31391, 281, 7402, 5317, 454, 1038, 29185, 1038, 952, 19523, 269, 11437, 318, 16769, 6230, 1994, 2652, 476, 274, 912, 2018, 19523, 14714, 323, 719, 12500, 4428, 518, 22182, 263, 2421, 5052, 263, 7407, 267, 31391, 4917, 1038, 3116, 912, 2018, 19523, 14714, 323, 719, 22182, 263, 7407, 2020, 825, 1219, 9041, 3553, 30648, 1417, 720, 4311, 2187, 1038, 8173, 1038, 5590, 519, 1699, 11188, 1417, 720, 454, 1038, 29185, 1038, 1900, 815, 10581, 4311, 14714, 788, 994, 1038, 1439, 815, 10581, 4311, 269, 754, 994, 1038, 1582, 269, 704, 1417, 720, 815, 3898, 9230, 1911, 2608, 1900, 1315, 1439, 1070, 29717, 272, 325, 17210, 825, 1219, 9041, 9526, 4311, 2187, 1038, 8173, 1038, 8571, 519, 2418, 538, 519, 23641, 454, 1038, 29185, 1038, 1582, 11519, 3553, 30648, 1417, 720, 4590, 1038, 11188, 322, 815, 27719, 337, 257, 1341, 1193, 4311, 269, 3667, 264, 1341, 1193, 4311, 269, 704, 1417, 720, 264, 1341, 834, 260, 314, 4840, 1038, 1064, 815, 630, 9230, 1345, 14714, 788, 1315, 630, 1345, 269, 754, 910, 1582, 269, 11034, 264, 2608, 476, 1911, 264, 2608, 630, 1345, 9884, 5954, 910, 7003, 263, 1602, 322, 30727, 1315, 476, 1911, 994, 1038, 1582, 11519, 31095, 263, 1602, 322, 994, 1038, 585, 1775, 538, 2039, 17301, 263, 1842, 15892, 2018, 1582, 11519, 31095, 4311, 269, 8663, 994, 1038, 1582, 11519, 31095, 263, 10113, 4311, 4877, 659, 2006, 4917, 1038, 19523, 14714, 323, 719, 269, 4148, 2313, 10797, 1038, 952, 1582, 14714, 788, 2652, 1582, 269, 6352, 912, 2018, 1582, 11519, 31095, 19629, 333, 15419, 825, 1219, 9337, 4311, 267, 1871, 284, 272, 2187, 1038, 5727, 22352, 519, 3356, 538, 519, 3046, 454, 2018, 20368, 2678, 281, 1871, 267, 568, 519, 1651, 637, 532, 2450, 540, 519, 3046, 269, 1635, 9949, 476, 272, 454, 1038, 8173, 1038, 1582, 14714, 788, 6834, 10581, 263, 7407, 994, 1038, 1582, 11519, 9526, 10797, 825, 1219, 3356, 4311, 267, 1871, 2187, 1038, 5727, 5590, 519, 3356, 538, 519, 3046, 454, 2018, 20368, 2678, 281, 1871, 267, 568, 519, 1808, 2450, 540, 519, 3046, 269, 3143, 9949, 1871, 454, 1038, 8173, 1038, 1582, 14714, 788, 815, 10581, 263, 7407, 994, 1038, 1582, 11519, 9526, 4590, 0, 18257, 12793, 585, 2324, 609, 1352, 1513, 692, 24404, 916, 1031, 538, 1599, 4408, 1384, 265, 2608, 3901, 265, 2433, 5044, 3337, 630, 274, 267, 476, 274, 264, 630, 274, 291, 1875, 3620, 558, 18100, 10974, 994, 265, 2608, 3530, 265, 2433, 3413, 710, 5044, 3337, 630, 275, 267, 476, 275, 264, 630, 274, 291, 4630, 18100, 10974, 994, 265, 2608, 560, 686, 340, 265, 2433, 1352, 1513, 23876, 676, 6152, 4758, 21083, 6712, 1657, 15497, 454, 476, 540, 715, 343, 301, 5044, 630, 1721, 27020, 7004, 994, 265, 2608, 338, 611, 333, 265, 2433, 1352, 1513, 23876, 676, 5086, 22185, 267, 4287, 6152, 267, 3339, 6152, 454, 476, 630, 5976, 18593, 1448, 6152, 994, 18257, 692, 5814, 2979, 692, 5814, 21855, 692, 5814, 11885, 607, 5286, 692, 5228, 1547, 583, 2812, 1104, 28348, 318, 19066, 267, 6152, 5332, 768, 7531, 258, 595, 2286, 8675, 585, 1455, 19852, 715, 338, 267, 17523, 454, 5334, 515, 31600, 815, 31460, 1721, 562, 538, 2039, 263, 272, 267, 1556, 2187, 825, 1535, 815, 630, 333, 1262, 273, 1341, 562, 8358, 273, 269, 271, 454, 825, 1775, 815, 562, 266, 272, 454, 825, 9041, 9917, 31600, 20572, 316, 815, 630, 328, 267, 5286, 6745, 686, 340, 18828, 269, 2158, 9230, 328, 267, 328, 24270, 476, 272, 1040, 770, 4286, 6357, 944, 264, 9239, 3698, 4174, 340, 273, 3901, 263, 560, 686, 340, 2187, 825, 15981, 20472, 19852, 5119, 689, 5580, 21083, 6152, 692, 825, 30352, 454, 825, 28612, 734, 454, 825, 4174, 340, 2433, 5044, 267, 3337, 630, 301, 267, 994, 11434, 6152, 4758, 6906, 1657, 15497, 540, 19852, 5119, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 15382, 2433, 5044, 267, 3337, 630, 301, 267, 715, 994, 11434, 19852, 5119, 692, 825, 6201, 454, 825, 28612, 454, 825, 21188, 590, 815, 1496, 271, 269, 272, 267, 476, 271, 269, 273, 267, 476, 271, 269, 274, 2639, 825, 21188, 4174, 340, 273, 3901, 22829, 994, 825, 5044, 31912, 476, 272, 269, 2073, 476, 476, 271, 269, 272, 267, 476, 476, 271, 269, 273, 16689, 19930, 1496, 476, 271, 269, 2073, 476, 476, 272, 269, 2073, 476, 476, 271, 269, 274, 16689, 19930, 1496, 476, 271, 269, 2073, 476, 476, 271, 269, 2073, 476, 476, 272, 269, 9948, 7481, 825, 21188, 4174, 340, 273, 3901, 8443, 272, 7481, 825, 5044, 31912, 476, 272, 1421, 476, 476, 272, 269, 16689, 19930, 1496, 476, 271, 1421, 476, 476, 272, 20426, 7481, 825, 21188, 4174, 340, 273, 3901, 8443, 272, 267, 476, 273, 7481, 825, 29895, 3724, 630, 2865, 2487, 1289, 2063, 2187, 11434, 4429, 825, 28759, 281, 476, 273, 568, 513, 9490, 1297, 540, 19852, 2609, 692, 825, 11872, 454, 825, 476, 955, 8894, 825, 2701, 541, 13080, 616, 21083, 2338, 780, 825, 6423, 5291, 2517, 523, 25769, 3820, 28293, 20081, 686, 9771, 20311, 454, 825, 23288, 825, 562, 815, 7003, 263, 560, 686, 340, 994, 825, 1948, 524, 3737, 2013, 454, 825, 952, 562, 538, 9041, 9917, 31600, 912, 1038, 715, 267, 967, 338, 815, 9041, 9917, 31600, 19559, 2639, 825, 3116, 281, 1948, 4937, 2013, 454, 1038, 715, 815, 630, 8987, 272, 266, 4118, 28460, 263, 279, 265, 333, 266, 272, 4297, 270, 273, 269, 271, 11924, 272, 1948, 562, 266, 272, 555, 3597, 454, 1038, 952, 715, 11203, 2979, 269, 28776, 18217, 2187, 2018, 6318, 28759, 3488, 260, 323, 568, 513, 9490, 1297, 540, 19852, 2609, 262, 4939, 454, 4449, 17264, 562, 994, 1038, 715, 815, 703, 18217, 994, 1038, 967, 338, 815, 5286, 6745, 686, 340, 18828, 269, 2158, 9230, 301, 267, 301, 24270, 476, 272, 1040, 770, 4286, 6357, 944, 994, 825, 631, 815, 5286, 4318, 6614, 18217, 994, 825, 631, 314, 785, 338, 316, 815, 4174, 340, 454, 825, 2132, 631, 7531, 3698, 8909, 333, 273, 3901, 263, 4120, 267, 4287, 267, 3339, 2187, 825, 5727, 30467, 585, 19852, 676, 2387, 4120, 319, 2059, 2387, 323, 3925, 319, 6152, 593, 19852, 7077, 780, 825, 634, 19852, 7077, 568, 3989, 676, 3339, 6152, 2387, 7538, 12452, 543, 10596, 998, 454, 825, 519, 5169, 269, 634, 4287, 6152, 1590, 581, 26667, 547, 519, 7077, 781, 3339, 454, 825, 6152, 780, 825, 589, 1448, 623, 568, 9927, 676, 519, 19852, 5119, 883, 623, 257, 971, 602, 454, 825, 519, 6152, 623, 6261, 257, 568, 6252, 547, 519, 4287, 6152, 543, 922, 6708, 568, 454, 825, 2016, 676, 519, 5086, 540, 623, 6261, 262, 268, 303, 2580, 1141, 623, 262, 568, 519, 26667, 16879, 454, 825, 540, 623, 5196, 519, 19852, 7077, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 5086, 2433, 22185, 454, 11434, 5086, 547, 19852, 267, 538, 32494, 454, 825, 4287, 2433, 5044, 6438, 267, 3337, 630, 274, 267, 994, 11434, 4287, 2059, 799, 547, 19852, 454, 825, 3339, 2433, 5044, 6438, 267, 3337, 630, 274, 267, 994, 11434, 6152, 10747, 19852, 7077, 267, 1141, 19852, 7077, 10596, 998, 454, 11434, 5169, 692, 825, 16849, 454, 825, 476, 9339, 8894, 825, 1319, 2433, 5044, 3337, 630, 274, 267, 274, 994, 11434, 19852, 5119, 692, 825, 6201, 454, 825, 28612, 454, 825, 21188, 5086, 815, 630, 12639, 20179, 20179, 3890, 910, 476, 271, 269, 276, 264, 2608, 476, 275, 265, 4118, 32564, 454, 825, 21188, 1463, 815, 5286, 20179, 20179, 263, 274, 264, 910, 476, 271, 269, 276, 454, 825, 21188, 3339, 815, 5286, 6983, 1484, 5560, 1311, 267, 5286, 20179, 20179, 263, 274, 4917, 825, 21188, 590, 815, 8909, 333, 273, 3530, 263, 4120, 267, 1463, 267, 3339, 994, 825, 21188, 5286, 269, 718, 29148, 263, 272, 269, 271, 267, 5286, 7456, 1400, 326, 6155, 564, 22829, 4917, 825, 6936, 454, 825, 8173, 825, 952, 2612, 18828, 31715, 3799, 5436, 267, 4287, 4297, 3436, 476, 272, 324, 268, 276, 912, 1038, 6318, 28759, 2891, 323, 3925, 267, 3339, 10321, 711, 26667, 5602, 825, 3339, 815, 28348, 318, 19066, 3799, 5436, 994, 825, 4287, 815, 28348, 318, 19066, 5560, 3925, 994, 825, 5086, 815, 2979, 6745, 534, 263, 4120, 994, 825, 631, 815, 5286, 4318, 6614, 263, 274, 994, 825, 631, 6834, 5086, 2608, 5286, 269, 537, 614, 5560, 3925, 267, 3339, 994, 825, 2132, 631, 7531, 3698, 8909, 333, 273, 3530, 263, 4120, 267, 4287, 267, 3339, 267, 1448, 22561, 2187, 825, 5727, 288, 742, 710, 585, 19852, 676, 2387, 4120, 319, 2059, 6152, 2387, 323, 3925, 319, 593, 19852, 7077, 780, 825, 634, 19852, 7077, 568, 3989, 676, 513, 1448, 543, 3339, 6152, 269, 634, 4287, 454, 825, 6152, 1590, 581, 26667, 547, 519, 7077, 781, 3339, 6152, 780, 825, 589, 1448, 623, 568, 9927, 676, 519, 19852, 5119, 883, 623, 257, 971, 602, 454, 825, 519, 6152, 623, 6261, 257, 568, 6252, 547, 519, 4287, 6152, 543, 922, 6708, 568, 454, 825, 2016, 676, 519, 5086, 540, 623, 6261, 262, 268, 303, 2580, 1141, 623, 262, 568, 519, 26667, 16879, 454, 825, 540, 623, 5196, 519, 19852, 7077, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 5086, 2433, 22185, 454, 11434, 5086, 547, 19852, 267, 538, 32494, 454, 825, 4287, 2433, 5044, 6438, 267, 3337, 630, 274, 267, 994, 11434, 4287, 2059, 799, 547, 19852, 454, 825, 3339, 2433, 5044, 6438, 267, 3337, 630, 274, 267, 994, 11434, 6152, 3339, 547, 19852, 13807, 2033, 454, 825, 1448, 2433, 7183, 610, 5044, 6438, 267, 3337, 630, 274, 267, 1070, 18593, 454, 11434, 1448, 267, 602, 267, 609, 2387, 7538, 319, 11225, 19852, 7077, 269, 476, 4347, 5435, 338, 547, 454, 11434, 7183, 267, 6697, 547, 19852, 13807, 2033, 998, 5169, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 3413, 2433, 5044, 3337, 630, 275, 267, 275, 994, 11434, 3413, 710, 1352, 2130, 5119, 692, 825, 6201, 454, 825, 28612, 454, 825, 21188, 5086, 815, 630, 12639, 20179, 20179, 3890, 910, 476, 271, 269, 276, 264, 2608, 476, 275, 265, 4118, 32564, 454, 825, 21188, 1463, 815, 5286, 20179, 20179, 263, 274, 264, 910, 476, 271, 269, 276, 454, 825, 21188, 3339, 815, 5286, 6983, 1484, 5560, 1311, 267, 5286, 20179, 20179, 263, 274, 4917, 825, 21188, 590, 815, 8909, 333, 273, 3901, 263, 4120, 267, 1463, 267, 3339, 994, 825, 21188, 5286, 269, 718, 29148, 263, 272, 269, 271, 267, 5286, 7456, 1400, 326, 6155, 564, 22829, 4917, 825, 6936, 454, 825, 8173, 825, 631, 815, 5286, 4318, 6614, 263, 275, 994, 825, 3339, 815, 28348, 318, 19066, 3799, 5436, 994, 825, 4287, 815, 28348, 318, 19066, 5560, 3925, 994, 825, 5086, 815, 2979, 6745, 534, 263, 4120, 994, 825, 631, 11468, 274, 267, 2433, 274, 316, 815, 5286, 4318, 6614, 263, 274, 264, 1341, 5086, 2608, 5286, 269, 537, 614, 5560, 3925, 267, 3339, 994, 825, 952, 1448, 568, 711, 7183, 912, 1038, 631, 11468, 274, 267, 476, 274, 316, 815, 910, 4120, 2608, 5286, 31715, 263, 4812, 267, 3339, 264, 2608, 4287, 454, 825, 2132, 631, 7531, 3698, 1319, 273, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15424, 2962, 267, 1141, 1100, 1318, 540, 519, 1268, 568, 1102, 2590, 539, 3092, 17181, 538, 2013, 540, 27152, 9868, 610, 13766, 267, 17181, 538, 2013, 540, 4579, 783, 11460, 563, 26368, 2436, 519, 6898, 2630, 616, 3020, 610, 7301, 563, 32101, 540, 3741, 540, 7849, 10456, 666, 581, 16934, 2901, 2769, 569, 610, 676, 2556, 6286, 1641, 547, 519, 14074, 540, 15080, 1700, 1691, 543, 476, 2641, 540, 519, 9139, 563, 763, 1657, 3948, 568, 3020, 563, 20332, 10456, 568, 22964, 3901, 1227, 8465, 543, 21443, 762, 547, 20206, 1637, 896, 31017, 2604, 540, 6381, 563, 763, 1657, 3948, 568, 3020, 563, 288, 1188, 852, 1578, 618, 2433, 901, 2376, 568, 9862, 689, 590, 3118, 600, 9539, 296, 5308, 1576, 1570, 269, 0, 11854, 539, 568, 22185, 7274, 602, 568, 3989, 1152, 676, 922, 9588, 543, 568, 6719, 609, 835, 1871, 269, 20653, 6290, 593, 519, 824, 2427, 568, 513, 6152, 7274, 602, 568, 3989, 609, 922, 9588, 543, 4287, 269, 634, 3432, 10309, 3800, 543, 10525, 519, 3432, 540, 519, 6174, 269, 7316, 519, 13549, 2798, 593, 519, 3432, 10309, 602, 568, 519, 3432, 540, 519, 6174, 269, 634, 6991, 568, 711, 12799, 3254, 267, 855, 952, 535, 519, 13549, 568, 3001, 267, 596, 666, 1205, 513, 11315, 2856, 540, 10231, 269, 1403, 519, 13549, 568, 2469, 29628, 519, 6174, 568, 23960, 563, 1692, 568, 3432, 6719, 593, 513, 3432, 10309, 7790, 875, 568, 10231, 6719, 286, 0, 1432, 1281, 1200, 332, 2940, 583, 545, 3069, 2303, 827, 875, 3988, 2070, 3332, 15017, 288, 269, 898, 568, 7543, 547, 2070, 513, 4062, 540, 3332, 607, 922, 2278, 5497, 563, 289, 269, 898, 568, 7543, 547, 16028, 513, 1257, 689, 24041, 16809, 563, 290, 269, 898, 568, 7543, 547, 2070, 513, 4062, 540, 3332, 7157, 267, 1317, 649, 666, 1152, 960, 1369, 519, 10636, 334, 5991, 768, 894, 17565, 563, 291, 269, 898, 568, 7543, 547, 5094, 513, 1257, 689, 519, 23316, 602, 17492, 621, 563, 289, 269, 4813, 16117, 270, 6124, 29576, 454, 288, 269, 30544, 632, 15223, 1380, 675, 454, 289, 269, 23819, 30004, 1744, 9383, 990, 20391, 454, 290, 269, 17029, 663, 19258, 1127, 454, 291, 269, 18466, 18539, 322, 5435, 454, 288, 269, 25381, 6844, 454, 290, 269, 18279, 589, 4725, 454, 288, 269, 1715, 16024, 6291, 7947, 338, 519, 2856, 602, 1686, 568, 9243, 563, 289, 269, 1715, 16024, 6291, 1281, 711, 1118, 7453, 30431, 725, 1063, 5339, 543, 1875, 2000, 3438, 776, 5931, 563, 290, 269, 1715, 16024, 6291, 3217, 513, 1880, 1719, 538, 12790, 9082, 563, 291, 269, 2353, 540, 519, 1657, 4267, 616, 2953, 563, 289, 269, 29576, 540, 1272, 0, 763, 3377, 814, 1044, 4904, 609, 782, 12204, 540, 4128, 543, 3137, 585, 1946, 1762, 6690, 616, 10024, 23648, 693, 7820, 543, 7820, 6502, 891, 2395, 563, 290, 13585, 4080, 602, 968, 15900, 1646, 538, 6690, 814, 1044, 5532, 609, 4057, 1582, 12635, 267, 4189, 4713, 267, 543, 4965, 267, 607, 1134, 607, 16906, 543, 4568, 946, 543, 4505, 4638, 2534, 2223, 609, 824, 3377, 5359, 17548, 602, 6690, 616, 10024, 23648, 1354, 789, 3914, 519, 6502, 540, 476, 280, 610, 476, 1015, 269, 6884, 267, 23648, 666, 581, 15427, 689, 606, 5945, 610, 513, 2634, 10510, 602, 14736, 11034, 338, 519, 1560, 779, 4393, 563, 3719, 513, 1353, 547, 581, 3370, 538, 519, 808, 5495, 11748, 299, 5508, 5084, 5357, 2464, 290, 7728, 31178, 949, 723, 20114, 930, 3606, 23648, 2389, 3419, 23355, 7355, 602, 3237, 1058, 581, 3222, 540, 269, 634, 1292, 1445, 540, 519, 1353, 827, 1018, 1131, 13138, 5456, 294, 2207, 28217, 21316, 13543, 623, 18510, 12224, 312, 5442, 717, 7644, 11862, 729, 547, 8495, 2436, 2825, 2188, 538, 519, 1259, 519, 8004, 729, 6659, 1185, 1022, 1198, 563, 1432, 519, 3173, 2219, 789, 1131, 1265, 729, 602, 6690, 945, 3357, 689, 2539, 13867, 3885, 1131, 4283, 23648, 4505, 269, 2201, 519, 14669, 267, 1382, 4951, 602, 621, 729, 6690, 689, 2362, 13867, 15980, 3885, 18121, 2004, 267, 1822, 610, 811, 264, 543, 1510, 513, 6211, 4651, 2713, 609, 873, 267, 941, 811, 2693, 547, 4283, 23648, 4505, 982, 711, 563, 5278, 540, 519, 4128, 32424, 585, 891, 4681, 616, 1732, 6484, 267, 2333, 4598, 547, 5841, 8654, 689, 7641, 610, 2780, 13819, 267, 946, 540, 811, 5898, 2472, 610, 4598, 547, 6464, 711, 1336, 538, 2539, 13867, 10820, 563, 2252, 621, 6927, 267, 824, 23648, 5829, 2090, 723, 849, 1336, 519, 1739, 912, 268, 19974, 8377, 666, 1291, 547, 2038, 23648, 454, 268, 7216, 6704, 543, 7296, 949, 1291, 547, 23648, 1373, 16607, 267, 607, 666, 4598, 547, 1291, 454, 268, 11109, 513, 2324, 3993, 945, 3085, 1406, 6108, 513, 2603, 540, 942, 693, 1753, 609, 519, 3214, 950, 789, 616, 2370, 949, 1291, 547, 2038, 23648, 454, 268, 634, 811, 2597, 606, 10867, 7911, 12374, 538, 1010, 1101, 3670, 3275, 666, 581, 2047, 1644, 547, 519, 7372, 2179, 540, 3023, 646, 1058, 2503, 547, 723, 607, 606, 2937, 0, 273, 7160, 540, 8226, 540, 2681, 1336, 538, 519, 17048, 563, 704, 4003, 540, 2681, 454, 347, 13750, 618, 1475, 2421, 28529, 518, 21960, 1066, 8198, 16085, 7685, 1475, 21760, 13472, 3126, 645, 2008, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 3607, 2008, 20007, 2294, 538, 1973, 23454, 454, 20685, 5371, 2516, 543, 519, 1646, 540, 15930, 454, 1692, 1279, 568, 513, 13452, 286, 12267, 547, 1224, 543, 2995, 563, 29441, 675, 543, 519, 5132, 563, 10817, 652, 540, 27254, 630, 15124, 3163, 11470, 12267, 994, 303, 527, 2006, 476, 1220, 271, 695, 2180, 663, 1101, 1576, 2689, 454, 31367, 9604, 1590, 581, 17049, 2336, 30356, 6963, 538, 21640, 454, 763, 10782, 8285, 1650, 454, 763, 1715, 268, 17413, 18627, 540, 519, 23252, 7911, 267, 945, 11438, 519, 12425, 3766, 1794, 8291, 547, 519, 5561, 563, 763, 1272, 540, 513, 3162, 3979, 14316, 563, 23210, 543, 2296, 15806, 454, 20228, 2089, 2044, 543, 824, 2984, 454, 763, 32185, 540, 7822, 1433, 269, 3367, 476, 273, 8039, 689, 519, 1158, 781, 4102, 2146, 585, 3988, 269, 275, 270, 276, 269, 27213, 3947, 513, 8799, 1592, 540, 22221, 971, 2188, 267, 543, 3947, 1806, 540, 3871, 538, 799, 1142, 3815, 630, 16838, 1346, 602, 5749, 1405, 16022, 569, 2934, 540, 2681, 267, 899, 4087, 610, 11413, 264, 666, 1860, 10526, 540, 2681, 281, 476, 272, 563, 704, 4003, 540, 2681, 1433, 24761, 1145, 630, 528, 1769, 1145, 264, 476, 273, 269, 670, 826, 476, 274, 269, 590, 4405, 566, 476, 275, 269, 12025, 476, 276, 269, 23426, 476, 277, 269, 19715, 476, 278, 269, 674, 5585, 518, 476, 279, 269, 27910, 548, 476, 280, 269, 3690, 10337, 3794, 1601, 1465, 1315, 276, 263, 273, 1040, 3883, 476, 274, 6941, 602, 6482, 540, 513, 2681, 568, 547, 3044, 1125, 2681, 5075, 267, 1141, 519, 1079, 2188, 267, 1769, 543, 20626, 616, 13387, 281, 700, 6058, 748, 4398, 540, 519, 1480, 3750, 1107, 1769, 1145, 634, 1480, 20626, 781, 8226, 540, 2681, 17003, 634, 2681, 574, 13011, 476, 273, 4113, 610, 476, 1015, 4113, 3044, 20626, 563, 1607, 666, 581, 7152, 593, 513, 3043, 5496, 609, 1614, 4778, 281, 4544, 267, 3039, 267, 543, 2699, 269, 7261, 534, 267, 4012, 31980, 267, 5835, 267, 543, 3043, 616, 4646, 689, 519, 7848, 540, 891, 4778, 630, 8993, 563, 3080, 540, 519, 4170, 538, 7446, 4778, 547, 581, 1031, 538, 2681, 11544, 6901, 568, 602, 1079, 540, 873, 3112, 581, 6404, 547, 3132, 519, 676, 281, 476, 273, 269, 2681, 4334, 269, 589, 7613, 538, 799, 519, 2681, 540, 606, 1843, 568, 4299, 676, 519, 2681, 540, 4478, 3615, 563, 10233, 5365, 269, 634, 15423, 1543, 540, 1769, 6786, 10024, 519, 4064, 547, 3132, 2681, 8226, 269, 769, 1010, 3069, 267, 21960, 1066, 6402, 519, 8226, 540, 2681, 609, 519, 7553, 621, 513, 709, 4513, 538, 519, 21951, 269, 1261, 6811, 2681, 6114, 616, 954, 22366, 609, 824, 12823, 563, 1103, 1010, 7822, 10017, 543, 7822, 10657, 267, 21960, 1066, 3081, 6505, 4778, 949, 723, 513, 22480, 1198, 593, 519, 15508, 7302, 718, 1263, 539, 269, 32185, 540, 2681, 1433, 849, 2829, 602, 25644, 591, 1206, 616, 1447, 14156, 17841, 547, 4778, 982, 970, 549, 591, 1206, 563, 763, 476, 2004, 628, 16683, 7160, 540, 513, 5929, 1257, 267, 10023, 606, 9450, 5542, 540, 2681, 2090, 8277, 325, 1325, 1499, 779, 19983, 540, 7822, 568, 513, 4487, 1740, 538, 1148, 2069, 269, 1230, 18727, 607, 513, 25156, 543, 3450, 5351, 585, 5159, 267, 16929, 267, 543, 1053, 267, 713, 9565, 1433, 6799, 1325, 1499, 779, 13737, 7778, 540, 1950, 2681, 3069, 3741, 270, 276, 263, 1916, 763, 959, 747, 668, 1738, 3069, 540, 2681, 5075, 568, 711, 519, 1152, 3069, 30867, 1278, 2101, 3069, 540, 2681, 5075, 568, 1634, 607, 519, 18545, 3491, 947, 3069, 563, 6097, 547, 713, 3069, 267, 2681, 568, 27573, 538, 18545, 8424, 281, 3109, 22554, 267, 5835, 15918, 826, 267, 543, 3039, 268, 1042, 269, 634, 8226, 540, 2681, 568, 4646, 538, 938, 2634, 676, 519, 2706, 6570, 540, 519, 8849, 6786, 689, 1614, 1114, 5686, 540, 2584, 648, 1061, 832, 799, 616, 7856, 936, 519, 1480, 3750, 781, 22100, 563, 4322, 2584, 648, 1061, 832, 616, 1572, 25862, 543, 616, 3743, 585, 2584, 8084, 5075, 896, 21765, 2175, 269, 634, 8515, 540, 26149, 849, 5540, 7990, 8226, 269, 2311, 1360, 1970, 1769, 2157, 267, 4544, 543, 3039, 3615, 2408, 17321, 982, 2699, 3283, 3379, 609, 741, 3448, 21386, 538, 6793, 26149, 267, 606, 1198, 1634, 607, 519, 8830, 7219, 16660, 6521, 585, 922, 1167, 913, 17243, 267, 519, 16231, 28772, 6048, 3967, 5345, 13370, 16695, 8830, 7219, 16660, 563, 4002, 519, 835, 2427, 1796, 968, 684, 1392, 531, 1235, 2223, 1519, 519, 4589, 540, 634, 2622, 7822, 11752, 543, 741, 9164, 267, 945, 3494, 538, 513, 29077, 540, 1480, 829, 24632, 1995, 281, 602, 782, 1004, 1294, 543, 2012, 4778, 538, 513, 10169, 5812, 1259, 563, 20751, 519, 1480, 3750, 616, 1079, 3693, 799, 616, 2092, 756, 268, 682, 585, 519, 8226, 540, 1769, 281, 22203, 543, 25862, 269, 634, 22203, 2270, 519, 2609, 602, 616, 6213, 547, 1769, 14556, 885, 269, 1358, 616, 1031, 3592, 14311, 693, 3781, 585, 3425, 3781, 12025, 281, 476, 272, 11586, 269, 7822, 32185, 538, 3203, 568, 606, 1898, 1433, 602, 786, 581, 31570, 1586, 543, 1586, 676, 782, 5159, 267, 9858, 267, 3610, 543, 1053, 945, 3343, 3312, 543, 8903, 7399, 538, 2681, 563, 4462, 1652, 938, 2681, 4408, 5330, 547, 5730, 2093, 267, 1100, 3730, 4901, 540, 1071, 610, 338, 1412, 338, 2009, 269, 594, 1590, 1294, 1250, 12964, 18565, 607, 10502, 607, 513, 1660, 524, 1014, 30650, 519, 12964, 18565, 540, 1010, 6985, 1738, 4336, 269, 1546, 1035, 549, 1460, 6854, 513, 2681, 5858, 15841, 593, 513, 3774, 540, 1010, 18638, 267, 1142, 2681, 13042, 609, 2009, 10659, 563, 28319, 5573, 281, 634, 3163, 540, 22628, 7756, 569, 676, 2142, 879, 20769, 1729, 2689, 1107, 1946, 649, 991, 2634, 1852, 594, 849, 4682, 1394, 547, 513, 1433, 827, 8226, 602, 10150, 513, 5458, 642, 4084, 538, 519, 2433, 22189, 681, 19902, 563, 763, 1772, 6062, 327, 4673, 1449, 568, 513, 2681, 8226, 1449, 585, 2699, 25984, 2681, 19518, 267, 519, 1101, 538, 513, 1362, 540, 3811, 2681, 5075, 4255, 1572, 29660, 28104, 29614, 1738, 10824, 9497, 303, 7709, 20257, 898, 729, 3957, 1310, 922, 14704, 267, 1744, 514, 984, 340, 1772, 6062, 327, 4673, 267, 513, 7548, 693, 519, 2160, 540, 19519, 267, 945, 1101, 3370, 1010, 4255, 538, 594, 7374, 13967, 281, 16952, 8447, 14474, 281, 6732, 4528, 281, 27213, 267, 25453, 631, 563, 27562, 19563, 8585, 18115, 1040, 32185, 540, 2681, 269, 1715, 3840, 267, 25067, 476, 630, 8016, 334, 9448, 264, 7698, 7392, 269, 634, 1433, 568, 14356, 827, 519, 1259, 2681, 5079, 1860, 519, 5920, 540, 513, 4055, 267, 855, 621, 781, 849, 827, 875, 512, 4689, 2418, 543, 4334, 3310, 938, 8226, 540, 513, 2230, 563, 13706, 519, 4259, 3254, 538, 269, 898, 779, 606, 3236, 540, 519, 9962, 7121, 540, 10444, 8226, 267, 855, 2094, 519, 2681, 8552, 13352, 593, 513, 2582, 1899, 630, 684, 3697, 267, 2161, 267, 5905, 543, 6492, 1070, 621, 814, 2141, 1044, 540, 1880, 1719, 269, 769, 1200, 269, 634, 1883, 1448, 827, 1480, 8226, 540, 2681, 568, 602, 607, 2484, 607, 519, 2634, 568, 7255, 267, 519, 2121, 2681, 568, 930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29874, 924, 6014, 5986, 281, 14546, 543, 7873, 9323, 269, 1975, 1182, 616, 2629, 547, 8236, 519, 12050, 10366, 1336, 538, 29874, 924, 8286, 269, 28871, 1031, 3283, 1331, 17761, 2967, 329, 630, 320, 11100, 540, 29018, 267, 3109, 14723, 267, 3556, 600, 558, 267, 1351, 328, 6387, 267, 804, 7174, 267, 543, 524, 6058, 1070, 524, 6058, 267, 1094, 742, 1258, 267, 543, 13099, 27996, 269, 1306, 585, 7873, 9323, 267, 1810, 1405, 7340, 519, 5576, 1872, 12544, 1990, 17965, 267, 3039, 31625, 13594, 5423, 1210, 4195, 524, 559, 656, 549, 267, 13342, 267, 543, 1585, 18717, 269, 1656, 1287, 972, 781, 4787, 327, 1872, 267, 513, 2699, 4528, 540, 5576, 1872, 267, 8449, 29316, 855, 24386, 811, 3002, 2439, 2171, 4126, 713, 4367, 547, 29874, 924, 6014, 11951, 814, 17275, 707, 7279, 543, 6273, 596, 547, 2119, 856, 930, 10346, 693, 1753, 269, 5457, 267, 1426, 568, 835, 1259, 4529, 2769, 2933, 267, 865, 1169, 11116, 6770, 596, 6251, 547, 1620, 519, 4190, 1158, 649, 2661, 538, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7476, 4712, 547, 8661, 256, 634, 853, 269, 8402, 6014, 3883, 16635, 568, 7432, 476, 3393, 267, 543, 621, 779, 5935, 909, 547, 581, 513, 9735, 11018, 540, 4589, 689, 782, 15211, 540, 1272, 269, 11109, 18799, 2462, 4408, 899, 21142, 667, 619, 6011, 6308, 267, 4432, 773, 654, 19342, 267, 7812, 25204, 6199, 267, 543, 5261, 590, 1002, 1676, 538, 519, 2250, 267, 649, 2461, 18388, 532, 609, 24736, 585, 713, 1032, 2336, 1607, 13037, 3884, 1406, 1175, 827, 14120, 1699, 3332, 1107, 621, 779, 6031, 968, 331, 685, 577, 2727, 892, 547, 519, 3638, 1686, 540, 6014, 5339, 7418, 269, 3245, 31163, 525, 540, 519, 2250, 547, 2221, 779, 3209, 1235, 267, 6014, 4589, 723, 2451, 606, 30170, 1665, 593, 938, 5339, 5251, 267, 11014, 9750, 938, 20030, 269, 2913, 779, 4685, 883, 519, 1568, 540, 8370, 971, 11121, 6014, 4589, 4171, 2984, 3136, 547, 25407, 721, 2221, 2336, 29820, 538, 1715, 3840, 4975, 593, 4864, 476, 1240, 267, 476, 3192, 275, 267, 547, 513, 3703, 6014, 3993, 543, 606, 1977, 6014, 4651, 267, 12832, 1961, 26689, 1380, 779, 6014, 6561, 814, 3648, 6766, 1200, 960, 269, 4173, 9089, 1419, 2263, 4798, 540, 6014, 1686, 267, 3961, 267, 543, 519, 1995, 540, 519, 6014, 29563, 563, 2690, 1383, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 312, 18779, 924, 6014, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 6014, 1299, 24230, 615, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2230, 888, 25582, 476, 276, 910, 10432, 2155, 9760, 476, 1240, 269, 4962, 269, 1708, 271, 454, 12626, 910, 1325, 2742, 454, 1607, 3018, 594, 1616, 721, 547, 1445, 593, 938, 1603, 269, 3689, 540, 782, 267, 4585, 713, 17157, 827, 513, 8004, 1572, 1412, 2704, 2742, 12466, 307, 2532, 2290, 910, 3503, 513, 12605, 827, 519, 17157, 596, 14478, 269, 1548, 798, 596, 1589, 5949, 547, 1325, 2742, 286, 1548, 2963, 568, 972, 547, 1489, 713, 888, 307, 2532, 5565, 910, 3503, 513, 2239, 1759, 593, 1325, 2742, 781, 1650, 269, 6056, 827, 519, 3844, 4729, 1448, 602, 4386, 547, 1325, 2742, 269, 2052, 596, 2328, 707, 1378, 9814, 1650, 563, 2467, 568, 513, 17681, 14799, 1572, 13191, 3117, 26593, 945, 814, 1185, 513, 979, 693, 930, 540, 713, 1603, 9887, 269, 2701, 568, 513, 4116, 543, 786, 3391, 596, 998, 930, 2093, 547, 1205, 596, 3323, 543, 547, 5352, 930, 1893, 1354, 1603, 269, 1411, 666, 1265, 1200, 1934, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 290, 318, 12710, 275, 321, 14114, 327, 294, 279, 454, 13043, 338, 910, 27449, 538, 25609, 8033, 4240, 454, 2171, 616, 11173, 609, 938, 27449, 1565, 936, 593, 6519, 14986, 13174, 269, 5457, 596, 666, 1265, 519, 6044, 3381, 547, 948, 596, 269, 901, 3018, 596, 786, 1265, 519, 7044, 896, 14400, 12910, 910, 10432, 476, 273, 630, 342, 11305, 476, 2767, 628, 4989, 1040, 634, 3095, 568, 1934, 281, 4179, 2517, 3369, 3438, 846, 4118, 338, 2593, 10774, 727, 14048, 270, 20204, 268, 277, 13045, 2791, 786, 581, 2111, 547, 1265, 519, 2243, 9212, 543, 4267, 2630, 563, 13043, 338, 910, 27449, 8033, 4240, 454, 10481, 2762, 910, 12876, 11780, 454, 290, 4752, 2465, 630, 663, 1082, 824, 5370, 264, 616, 711, 2141, 21775, 538, 606, 5683, 6073, 269, 6884, 6705, 616, 23699, 543, 711, 6976, 9425, 585, 741, 7031, 269, 12876, 11780, 1568, 547, 3247, 713, 563, 1607, 3018, 594, 1616, 596, 547, 1711, 513, 16968, 7713, 1018, 12876, 11780, 1281, 267, 1946, 621, 729, 1305, 909, 543, 1946, 621, 568, 1271, 547, 2327, 602, 6705, 616, 6976, 9425, 585, 741, 7031, 269, 901, 3896, 786, 2285, 596, 606, 2856, 827, 1018, 12876, 11780, 568, 281, 4179, 2517, 4178, 8807, 1515, 339, 8565, 3820, 16896, 13045, 2467, 616, 6266, 540, 3377, 4930, 543, 7044, 827, 12876, 11780, 602, 596, 666, 3406, 585, 607, 1134, 563, 4916, 4047, 910, 9861, 519, 7454, 594, 2052, 2142, 454, 1607, 3018, 594, 1131, 899, 596, 547, 798, 1945, 1114, 563, 5575, 540, 782, 267, 594, 1131, 596, 2992, 593, 707, 1378, 2123, 9342, 543, 7907, 269, 6056, 2731, 2182, 827, 873, 543, 1287, 1118, 513, 1592, 269, 1280, 1383, 267, 596, 1223, 581, 281, 23904, 267, 16994, 547, 2119, 1007, 1919, 267, 513, 1434, 26575, 3092, 563, 5475, 713, 267, 594, 1616, 596, 547, 1305, 3054, 476, 274, 3853, 602, 596, 1131, 899, 547, 3035, 1354, 6281, 1153, 267, 585, 1383, 281, 1451, 827, 1250, 1007, 1153, 267, 1224, 513, 1007, 1433, 3092, 563, 7661, 267, 1711, 513, 4605, 540, 3054, 269, 769, 835, 7990, 1592, 707, 9342, 543, 7907, 1472, 707, 4605, 269, 769, 1776, 7990, 267, 2328, 519, 3853, 602, 596, 723, 563, 5629, 596, 723, 2944, 713, 267, 1413, 693, 1018, 596, 666, 2813, 269, 6056, 912, 268, 1548, 7907, 1705, 594, 2697, 602, 594, 4769, 1405, 1589, 594, 1185, 888, 268, 1548, 3268, 1223, 594, 1491, 547, 3035, 930, 540, 891, 3853, 888, 268, 1215, 616, 1250, 7907, 1114, 547, 1250, 2828, 888, 25582, 476, 275, 910, 10432, 2155, 9760, 476, 1556, 269, 4962, 269, 1708, 271, 454, 8310, 3018, 267, 649, 3323, 547, 2263, 1412, 763, 681, 13273, 262, 676, 28089, 30129, 26766, 269, 1284, 786, 581, 11173, 938, 3408, 540, 713, 6648, 563, 8855, 267, 596, 666, 1265, 519, 6648, 2417, 1524, 713, 2985, 896, 1412, 25582, 476, 274, 23823, 307, 2532, 476, 272, 910, 8571, 606, 3239, 540, 513, 681, 13273, 269, 1323, 2254, 622, 519, 3239, 609, 1893, 602, 9356, 519, 7099, 540, 519, 6648, 269, 1411, 786, 2731, 991, 547, 2721, 2390, 707, 1702, 540, 19655, 543, 519, 28445, 3206, 630, 9767, 666, 946, 606, 2228, 519, 28445, 547, 948, 596, 5352, 1893, 1040, 594, 1131, 849, 899, 596, 5352, 930, 23199, 269, 1411, 1223, 1589, 827, 1018, 713, 3662, 7618, 596, 540, 269, 7151, 912, 262, 305, 822, 839, 7618, 803, 540, 14334, 269, 5678, 2404, 609, 14334, 2882, 281, 20224, 267, 552, 2548, 344, 267, 5755, 267, 20420, 267, 7962, 1465, 269, 594, 1223, 1628, 513, 14165, 609, 713, 676, 10503, 3344, 540, 519, 681, 13273, 267, 585, 1383, 281, 634, 8900, 267, 24949, 4064, 540, 519, 552, 2548, 344, 13442, 6378, 513, 32444, 267, 14692, 344, 22401, 2066, 519, 4055, 563, 307, 2532, 476, 273, 910, 3503, 513, 19701, 7127, 269, 1411, 666, 2328, 689, 519, 5133, 540, 519, 3844, 1915, 610, 634, 681, 13273, 269, 6333, 707, 2833, 689, 519, 6648, 910, 3314, 519, 6648, 781, 3159, 543, 7099, 269, 6056, 827, 707, 4606, 2429, 563, 2791, 666, 946, 519, 1893, 543, 23199, 596, 5352, 538, 17130, 476, 272, 547, 948, 596, 269, 5457, 782, 519, 540, 1271, 30031, 5079, 540, 19701, 7127, 281, 1101, 1268, 267, 2375, 633, 1893, 267, 4766, 707, 3527, 267, 6547, 543, 4606, 2509, 707, 2833, 563, 13043, 338, 910, 27449, 454, 2026, 2141, 267, 649, 616, 1210, 6519, 14986, 13174, 547, 1569, 938, 13174, 1565, 281, 4179, 2517, 3369, 3438, 846, 4118, 338, 2593, 10774, 727, 14048, 270, 20204, 268, 277, 13045, 2171, 616, 593, 14400, 12910, 910, 10432, 476, 272, 713, 3018, 269, 901, 3018, 568, 782, 827, 7285, 269, 1411, 666, 1265, 707, 960, 543, 4267, 630, 1729, 2638, 707, 960, 998, 1916, 16631, 910, 19449, 1529, 2218, 3590, 454, 1607, 3018, 649, 786, 581, 1565, 827, 1776, 15629, 1062, 281, 519, 30057, 1062, 563, 2414, 1205, 707, 3323, 267, 972, 781, 476, 275, 7044, 585, 596, 547, 4585, 281, 4179, 2517, 4178, 269, 6277, 322, 16691, 16896, 11486, 2572, 1125, 270, 9008, 923, 270, 345, 342, 20142, 277, 26338, 454, 307, 2532, 910, 4635, 519, 6516, 2630, 267, 6003, 519, 2694, 540, 519, 30057, 1062, 630, 9767, 666, 2721, 707, 1378, 6516, 547, 6003, 952, 596, 6999, 1040, 3503, 513, 5758, 7713, 1018, 519, 2295, 543, 9641, 798, 547, 1489, 519, 30057, 1062, 269, 2052, 596, 2491, 875, 1312, 8219, 616, 8200, 593, 1142, 824, 888, 9209, 910, 17323, 10312, 281, 634, 23721, 540, 4432, 30571, 454, 14976, 30571, 568, 513, 2197, 602, 568, 4092, 538, 3162, 3013, 269, 898, 568, 849, 513, 2101, 16073, 543, 1163, 7163, 540, 1082, 5370, 267, 1519, 6995, 563, 18814, 922, 16133, 547, 519, 20337, 267, 4432, 30571, 568, 513, 9341, 2197, 609, 1164, 31556, 630, 11004, 616, 6266, 540, 544, 719, 664, 748, 4525, 1916, 16100, 519, 2592, 540, 4432, 30571, 781, 5251, 630, 9767, 666, 1265, 891, 2630, 1916, 307, 2532, 476, 272, 910, 1413, 693, 519, 15437, 543, 2934, 540, 4432, 30571, 781, 5251, 269, 1548, 6763, 856, 547, 596, 888, 307, 2532, 476, 273, 910, 1711, 513, 5251, 17250, 540, 4432, 30571, 269, 5410, 7990, 547, 707, 3239, 269, 5457, 519, 3579, 3159, 540, 519, 5251, 543, 519, 9341, 1714, 1493, 563, 25582, 476, 274, 910, 10432, 2155, 9760, 476, 275, 269, 4962, 269, 1708, 271, 454, 16676, 5224, 938, 6249, 540, 8106, 6965, 267, 713, 3018, 543, 1985, 649, 786, 581, 3168, 693, 1412, 763, 681, 13273, 262, 676, 28089, 30129, 26766, 563, 1607, 6648, 3568, 6266, 540, 4101, 6863, 543, 4061, 594, 723, 7923, 513, 29395, 585, 596, 269, 5620, 513, 1413, 693, 519, 29395, 1354, 2348, 513, 979, 693, 2542, 519, 6648, 585, 3054, 563, 296, 1131, 849, 4363, 8384, 634, 3244, 12121, 781, 4528, 540, 519, 6648, 910, 621, 786, 948, 596, 1174, 519, 4259, 543, 519, 7099, 540, 519, 6648, 269, 898, 786, 1450, 596, 11617, 1294, 1018, 568, 2469, 593, 912, 307, 2532, 2290, 2433, 6733, 693, 519, 1913, 538, 519, 29395, 269, 7994, 476, 276, 268, 279, 1913, 543, 2328, 513, 4845, 609, 873, 269, 901, 786, 948, 596, 1174, 519, 2495, 540, 519, 2262, 552, 3052, 269, 513, 726, 2541, 568, 513, 13692, 267, 513, 4845, 609, 713, 1223, 581, 281, 594, 25343, 519, 726, 2541, 540, 519, 10348, 781, 13862, 563, 307, 2532, 5565, 281, 3367, 519, 6648, 585, 3054, 543, 4585, 519, 3244, 12121, 781, 4528, 269, 16680, 3054, 630, 528, 1205, 2576, 547, 2689, 621, 585, 596, 264, 2542, 519, 1101, 476, 274, 268, 275, 610, 2063, 476, 274, 268, 275, 588, 11961, 553, 630, 1706, 4588, 338, 1040, 1403, 596, 1616, 547, 4161, 3054, 267, 723, 513, 979, 693, 519, 2898, 6648, 2336, 307, 2532, 8422, 281, 29594, 547, 891, 2055, 630, 604, 596, 723, 5616, 15858, 910, 594, 786, 2022, 891, 593, 972, 543, 596, 666, 2022, 707, 2093, 585, 721, 547, 1865, 1927, 2187, 268, 5808, 798, 596, 1589, 519, 681, 13273, 568, 286, 1548, 798, 596, 1589, 621, 4564, 286, 1548, 798, 596, 1589, 621, 568, 3257, 538, 713, 812, 781, 23103, 888, 268, 4208, 1281, 519, 681, 13273, 2161, 1412, 6866, 3467, 262, 888, 268, 1548, 798, 596, 1589, 519, 7099, 540, 713, 6648, 568, 286, 1548, 4664, 1281, 519, 6648, 6655, 286, 4208, 798, 596, 1589, 713, 888, 10908, 27443, 543, 7313, 655, 454, 2026, 2141, 267, 596, 666, 1569, 519, 6519, 14986, 3896, 1934, 281, 4179, 2517, 3369, 3438, 846, 4118, 338, 2593, 10774, 727, 14048, 270, 20204, 268, 277, 13045, 1607, 3018, 649, 616, 3257, 1412, 25582, 476, 273, 3299, 4358, 689, 7689, 476, 272, 910, 29626, 17361, 11790, 563, 2791, 786, 1265, 782, 519, 3381, 18862, 596, 991, 593, 519, 3135, 269, 1411, 786, 849, 1265, 782, 519, 540, 519, 2055, 2630, 563, 9928, 2297, 543, 27449, 5999, 454, 1607, 3018, 594, 1131, 899, 596, 547, 2263, 930, 540, 519, 32017, 2591, 602, 616, 593, 31947, 631, 1662, 269, 1411, 786, 991, 547, 2845, 883, 31947, 631, 1662, 269, 1677, 798, 713, 596, 786, 991, 547, 912, 272, 269, 5616, 31947, 631, 1662, 454, 273, 269, 8564, 1412, 306, 659, 1042, 9839, 12729, 3427, 262, 630, 9767, 666, 3406, 585, 519, 1153, 1210, 938, 2022, 13892, 799, 568, 667, 312, 275, 476, 279, 308, 295, 994, 274, 269, 4495, 596, 723, 29429, 538, 267, 979, 547, 1412, 4467, 1584, 532, 7055, 275, 269, 3973, 4945, 593, 1412, 273, 24927, 7055, 2791, 786, 1287, 1265, 10274, 547, 8193, 543, 1287, 930, 2591, 602, 3391, 596, 998, 519, 8193, 1184, 563, 2419, 11069, 616, 519, 15864, 2591, 267, 18582, 2548, 616, 26815, 2352, 543, 1287, 32020, 8759, 616, 519, 23698, 563, 9359, 609, 1079, 932, 11069, 2591, 267, 960, 707, 1259, 909, 543, 1294, 952, 596, 666, 2347, 513, 32020, 8759, 4161, 256, 2913, 803, 917, 952, 596, 798, 2336, 25582, 5565, 910, 10432, 2155, 9760, 476, 2767, 269, 6860, 269, 1708, 271, 454, 8310, 3018, 649, 941, 5189, 547, 519, 6648, 540, 1412, 763, 808, 629, 828, 342, 1442, 344, 262, 676, 11066, 2961, 3326, 269, 901, 3018, 649, 616, 2469, 547, 4497, 538, 930, 1603, 25623, 676, 1412, 763, 808, 629, 828, 342, 1442, 344, 23823, 2791, 723, 1079, 3681, 713, 3018, 563, 29682, 476, 272, 910, 3503, 513, 6348, 16644, 1258, 1670, 7797, 827, 519, 808, 629, 828, 342, 1442, 344, 269, 2422, 519, 6648, 547, 2285, 596, 10881, 827, 519, 808, 629, 828, 342, 1442, 344, 781, 7180, 267, 7226, 543, 5920, 563, 2171, 917, 646, 568, 10728, 267, 649, 917, 646, 2729, 538, 519, 570, 592, 613, 344, 28418, 630, 574, 2602, 1018, 713, 568, 899, 910, 594, 4605, 621, 1373, 899, 513, 32761, 281, 14927, 267, 1350, 334, 3912, 543, 936, 326, 3497, 1070, 649, 917, 646, 814, 1044, 9810, 2358, 519, 2199, 1004, 18011, 14075, 5503, 519, 812, 343, 727, 535, 4141, 646, 521, 4381, 1040, 1284, 849, 917, 602, 646, 568, 1793, 664, 676, 513, 1762, 5869, 269, 2422, 713, 547, 948, 596, 563, 2791, 786, 1265, 513, 4058, 17948, 543, 1383, 1544, 1676, 547, 948, 596, 563, 5629, 596, 723, 9709, 713, 267, 596, 666, 2328, 621, 543, 1287, 12575, 630, 32355, 593, 1957, 610, 1210, 5616, 9022, 338, 1916, 29682, 476, 273, 910, 3503, 513, 21931, 270, 1805, 800, 1759, 593, 519, 7313, 655, 269, 901, 1223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 269, 276, 1070, 543, 552, 568, 630, 514, 713, 1382, 264, 476, 276, 18336, 5475, 7311, 519, 4542, 267, 519, 3732, 2450, 5330, 539, 547, 476, 29876, 12220, 5059, 593, 1699, 1053, 540, 519, 9872, 896, 1353, 269, 898, 568, 1271, 547, 12172, 602, 585, 519, 10126, 540, 1719, 1644, 547, 519, 20021, 540, 12409, 7070, 540, 519, 9872, 896, 1353, 267, 519, 1482, 4542, 4330, 1657, 729, 1031, 585, 13113, 5203, 525, 1317, 519, 1483, 2551, 540, 1719, 729, 1634, 269, 634, 2698, 3732, 16922, 476, 27123, 20021, 563, 1103, 1931, 547, 4019, 519, 12220, 267, 519, 1034, 11347, 4872, 538, 28130, 941, 5697, 2687, 547, 519, 1297, 540, 11317, 281, 2372, 17010, 267, 2871, 11535, 638, 559, 267, 19923, 523, 8619, 267, 10753, 10937, 267, 7557, 8403, 267, 5800, 990, 773, 14765, 267, 543, 10897, 690, 1132, 282, 538, 1840, 267, 621, 729, 9916, 602, 538, 891, 4872, 267, 519, 6280, 896, 1353, 814, 9738, 513, 11347, 1297, 540, 1053, 269, 769, 519, 2013, 540, 519, 20021, 267, 513, 14404, 1881, 3732, 729, 5697, 689, 1142, 540, 519, 4872, 540, 28130, 1317, 972, 616, 3318, 20021, 540, 519, 6280, 538, 1142, 540, 891, 4872, 630, 5408, 7305, 476, 272, 454, 1070, 865, 621, 729, 2808, 1271, 547, 917, 519, 8226, 540, 1053, 543, 20021, 593, 519, 4607, 543, 2838, 2866, 538, 741, 3924, 538, 519, 3068, 540, 1699, 2591, 563, 763, 12220, 941, 3144, 689, 513, 11204, 6280, 1496, 4097, 454, 316, 543, 9862, 547, 519, 28130, 1014, 2796, 269, 6969, 922, 3498, 267, 519, 6293, 23384, 513, 15418, 1184, 676, 4966, 269, 901, 1184, 15538, 540, 476, 4029, 11295, 2055, 602, 8268, 519, 4559, 540, 2079, 540, 519, 1699, 4116, 779, 9043, 267, 519, 9043, 540, 519, 2875, 538, 2069, 3292, 267, 519, 21941, 2838, 585, 519, 4116, 267, 543, 519, 4162, 540, 606, 5499, 4116, 269, 4935, 267, 519, 5619, 4294, 547, 1053, 9916, 1896, 3584, 281, 630, 320, 264, 8404, 547, 1353, 9443, 543, 2069, 3292, 267, 630, 321, 264, 1699, 610, 2104, 2115, 540, 519, 1604, 602, 1058, 581, 1459, 538, 519, 6437, 540, 519, 1982, 267, 543, 630, 322, 264, 21941, 2919, 543, 2838, 538, 519, 9043, 540, 713, 3924, 269, 634, 5619, 729, 13950, 676, 1210, 11752, 12507, 4486, 269, 634, 26830, 941, 2366, 998, 552, 2173, 5661, 543, 15146, 7125, 563, 763, 2164, 941, 2322, 538, 519, 9185, 543, 590, 31723, 630, 341, 269, 2420, 269, 271, 264, 3898, 585, 9382, 269, 3958, 267, 972, 941, 476, 736, 538, 3829, 11042, 5342, 609, 4966, 538, 2069, 689, 6792, 267, 8050, 267, 21896, 267, 543, 28130, 269, 634, 715, 309, 16343, 1556, 3301, 729, 1031, 585, 519, 1239, 2079, 540, 891, 11042, 267, 543, 649, 5342, 513, 1543, 2079, 540, 519, 5171, 685, 4267, 547, 3313, 519, 15752, 540, 519, 5171, 1369, 519, 2796, 540, 519, 1382, 563, 763, 1374, 540, 519, 10859, 3613, 19099, 5967, 267, 799, 729, 5342, 609, 519, 4966, 538, 2069, 267, 2808, 3584, 1644, 547, 630, 320, 264, 1292, 2042, 1459, 538, 519, 3872, 1062, 540, 28130, 267, 630, 321, 264, 2042, 543, 12755, 540, 519, 20021, 540, 12409, 7070, 267, 630, 322, 264, 6639, 4882, 3469, 270, 29729, 270, 25677, 9706, 11823, 19841, 16652, 3466, 610, 19251, 11128, 2738, 602, 991, 547, 581, 11368, 883, 519, 2866, 540, 4648, 538, 519, 1858, 540, 2069, 267, 630, 323, 264, 8297, 696, 999, 610, 1271, 2242, 602, 723, 7018, 538, 2487, 1296, 538, 519, 3872, 4610, 267, 543, 630, 324, 264, 9043, 602, 1346, 4648, 538, 5279, 540, 2866, 538, 2069, 1058, 723, 563, 763, 1445, 2516, 26857, 4559, 6361, 20400, 1239, 593, 519, 1699, 4116, 9043, 267, 3610, 685, 21941, 267, 543, 5499, 3610, 685, 4162, 269, 1703, 941, 2185, 1445, 1895, 7886, 609, 476, 3953, 1004, 267, 1519, 7855, 267, 4960, 961, 832, 267, 1153, 21246, 1023, 267, 6280, 20485, 267, 543, 12665, 538, 519, 3872, 1858, 269, 634, 715, 309, 16343, 1556, 3301, 729, 1031, 547, 5659, 519, 1344, 267, 543, 649, 1586, 5342, 513, 1543, 2079, 540, 519, 5171, 685, 4267, 547, 3313, 519, 5133, 540, 519, 5171, 1369, 519, 2796, 540, 519, 1382, 1353, 1496, 3374, 454, 1103, 519, 2185, 1445, 2516, 2919, 998, 5691, 4276, 267, 1614, 1808, 3584, 941, 9916, 609, 519, 5171, 281, 630, 320, 264, 6639, 267, 2804, 267, 2797, 267, 2825, 543, 1514, 2242, 602, 786, 723, 606, 1764, 593, 2866, 543, 519, 2069, 4074, 2344, 538, 519, 4947, 1296, 282, 630, 321, 264, 21463, 610, 2242, 602, 786, 723, 606, 1764, 593, 2866, 543, 519, 2069, 4074, 2344, 538, 519, 4947, 1296, 282, 543, 630, 322, 264, 519, 9043, 602, 4648, 538, 5279, 540, 2866, 538, 2069, 1058, 723, 269, 3962, 540, 519, 1445, 2516, 16768, 5111, 1079, 3108, 267, 609, 606, 3328, 20343, 540, 476, 278, 1700, 1015, 5171, 563, 273, 269, 275, 269, 4578, 5811, 454, 763, 3498, 540, 11050, 543, 12007, 7405, 1500, 621, 2009, 547, 723, 3152, 14496, 538, 519, 2164, 269, 634, 2468, 836, 1637, 2079, 540, 519, 1239, 3357, 689, 1614, 11051, 281, 1053, 267, 20021, 267, 543, 4274, 3610, 543, 9946, 538, 2069, 269, 901, 2079, 1500, 621, 2009, 547, 12172, 543, 9148, 519, 6394, 1344, 1247, 6236, 519, 1114, 8639, 685, 5380, 1496, 3451, 454, 4940, 19078, 3344, 941, 3144, 1416, 540, 538, 519, 6394, 1239, 998, 27704, 547, 946, 519, 1344, 585, 4081, 5301, 269, 634, 1239, 2359, 729, 1843, 1947, 17411, 547, 1683, 4570, 2963, 269, 7053, 267, 519, 7834, 540, 519, 5171, 685, 1239, 740, 22363, 547, 519, 12250, 4507, 3238, 538, 519, 1353, 563, 763, 2164, 6508, 689, 519, 4559, 6361, 20400, 1239, 616, 4843, 2630, 563, 274, 269, 272, 269, 7351, 11819, 28483, 454, 2414, 3313, 519, 4116, 9043, 267, 649, 5342, 1445, 2516, 543, 11042, 269, 634, 4162, 676, 4008, 543, 13567, 540, 519, 5171, 616, 3254, 538, 7305, 476, 273, 454, 6097, 547, 519, 1004, 31570, 538, 519, 1445, 2516, 543, 11042, 267, 519, 4540, 4116, 9043, 729, 1336, 547, 711, 2743, 1699, 13865, 2115, 269, 769, 519, 2631, 602, 519, 4116, 779, 9043, 1058, 1291, 547, 8236, 3872, 6859, 543, 2104, 5481, 685, 2866, 267, 519, 1004, 945, 15548, 538, 519, 1445, 2516, 5462, 513, 3126, 540, 4116, 2866, 19518, 269, 3245, 519, 31286, 540, 519, 1114, 7886, 602, 3576, 1747, 267, 519, 1739, 18759, 7153, 563, 763, 5049, 941, 1869, 11000, 2861, 267, 865, 606, 14849, 1689, 729, 2838, 538, 519, 24099, 3157, 5645, 856, 585, 2069, 3292, 269, 1280, 1383, 267, 513, 6085, 538, 835, 540, 519, 2516, 729, 267, 968, 763, 4116, 2115, 547, 4487, 4020, 13659, 269, 634, 9945, 616, 5432, 609, 713, 12191, 267, 855, 513, 2370, 811, 568, 2877, 585, 1646, 269, 5384, 543, 1995, 9044, 519, 2866, 267, 543, 519, 3610, 1590, 8495, 547, 2327, 602, 741, 1053, 1205, 519, 1983, 789, 991, 9731, 5194, 540, 9571, 1966, 729, 519, 3668, 540, 1702, 538, 519, 946, 540, 2029, 269, 4935, 267, 513, 1895, 29499, 602, 968, 1492, 6855, 7000, 875, 12707, 335, 1563, 519, 2069, 3292, 941, 1210, 1007, 4066, 585, 3450, 5301, 1848, 6271, 1895, 5018, 602, 968, 18485, 1053, 543, 3610, 616, 14542, 609, 2645, 602, 7520, 1565, 538, 4625, 5691, 5054, 9731, 763, 5171, 5433, 972, 568, 513, 3668, 540, 7071, 585, 3610, 685, 960, 543, 602, 1346, 945, 4283, 713, 3924, 798, 711, 798, 865, 856, 540, 4938, 566, 855, 1317, 540, 513, 3668, 540, 2816, 3255, 538, 824, 2127, 269, 2290, 540, 519, 2516, 8612, 602, 968, 1492, 4116, 7959, 896, 1998, 4240, 267, 21002, 2989, 609, 11889, 960, 267, 2604, 323, 676, 9905, 267, 609, 513, 1970, 1514, 29925, 540, 519, 960, 9731, 12234, 267, 789, 5018, 519, 9000, 540, 3860, 610, 28836, 3206, 543, 519, 4527, 540, 2542, 2042, 269, 1358, 29499, 602, 968, 763, 3610, 723, 1970, 2542, 2157, 267, 1775, 4318, 1421, 606, 3355, 2542, 8223, 1377, 2223, 543, 968, 854, 2370, 2702, 585, 28836, 3206, 267, 1620, 2069, 607, 23142, 1702, 267, 543, 711, 2560, 4687, 543, 10825, 1018, 789, 616, 13730, 827, 1848, 7053, 267, 972, 729, 513, 1966, 609, 519, 3450, 2259, 267, 607, 29499, 593, 538, 835, 540, 519, 2516, 281, 968, 17445, 954, 30447, 4721, 616, 2838, 538, 519, 2361, 269, 634, 2853, 543, 519, 5464, 540, 2853, 676, 519, 8128, 540, 519, 9872, 1141, 789, 616, 5645, 856, 1058, 581, 4824, 9731, 4322, 18759, 849, 8815, 609, 519, 4966, 685, 6114, 547, 519, 11042, 269, 1358, 5018, 602, 968, 25531, 3292, 616, 9228, 607, 22573, 543, 5059, 593, 519, 17279, 540, 1702, 543, 8357, 1436, 1848, 769, 1840, 267, 972, 729, 1336, 547, 581, 2370, 4276, 1063, 3069, 543, 2259, 267, 6862, 729, 972, 513, 4276, 547, 519, 19178, 4810, 676, 3610, 563, 763, 4966, 849, 29499, 602, 1813, 547, 519, 6855, 267, 519, 3668, 540, 7041, 540, 3610, 543, 1053, 547, 960, 538, 5691, 5054, 729, 10423, 267, 543, 968, 3682, 31810, 538, 2069, 616, 9228, 607, 14461, 543, 1759, 593, 519, 11313, 29019, 581, 282, 685, 865, 1225, 14152, 14624, 3112, 581, 1500, 9731, 274, 269, 273, 269, 9906, 28483, 538, 4065, 15789, 454, 2414, 3313, 519, 1699, 2875, 9043, 538, 2069, 3292, 267, 649, 9916, 519, 5619, 2164, 585, 1699, 1053, 693, 519, 28130, 1014, 6280, 630, 15953, 540, 1353, 264, 543, 519, 5619, 585, 20021, 540, 519, 1482, 6280, 269, 1452, 2164, 4951, 602, 1699, 1053, 685, 2085, 538, 2069, 3292, 729, 476, 866, 1700, 2412, 1296, 267, 609, 519, 5207, 6871, 1063, 476, 866, 543, 476, 1839, 269, 634, 20021, 941, 1063, 476, 2190, 543, 476, 3393, 267, 609, 519, 5207, 12136, 1063, 476, 2918, 543, 476, 2412, 269, 769, 1312, 2516, 267, 519, 5354, 941, 2021, 267, 543, 1034, 540, 873, 1185, 21783, 610, 941, 4974, 12729, 4065, 267, 607, 3254, 538, 7305, 476, 274, 454, 29909, 3368, 540, 519, 1699, 1053, 941, 2324, 538, 519, 1857, 610, 4357, 9922, 269, 769, 519, 2013, 540, 20021, 267, 519, 5354, 5249, 538, 4357, 3549, 543, 3872, 5238, 269, 634, 14057, 3017, 1063, 1053, 543, 1346, 945, 1185, 6192, 741, 2090, 729, 606, 3328, 540, 476, 2568, 260, 811, 585, 519, 8545, 269, 769, 713, 2543, 267, 476, 9965, 1053, 630, 7367, 269, 279, 8472, 5018, 2348, 513, 14057, 540, 1447, 982, 1269, 6110, 267, 1247, 519, 20021, 945, 941, 2324, 630, 26237, 28931, 6518, 5330, 539, 547, 519, 5354, 630, 6872, 8472, 1765, 26061, 2348, 606, 4747, 1063, 1269, 278, 6858, 543, 1269, 8099, 277, 563, 763, 4162, 540, 519, 3292, 1034, 8179, 676, 1053, 941, 3450, 2298, 267, 24501, 267, 25689, 267, 1110, 1275, 267, 3902, 267, 543, 5356, 540, 15938, 3292, 267, 607, 3254, 538, 7612, 476, 274, 454, 269, 3958, 267, 519, 31570, 5449, 1053, 5018, 8112, 267, 2029, 267, 543, 11889, 3007, 607, 10694, 2609, 585, 7446, 606, 4081, 9015, 563, 1103, 2474, 540, 3450, 23857, 267, 1699, 1053, 941, 1336, 547, 2154, 602, 519, 5691, 1110, 1275, 723, 7850, 15222, 748, 7886, 543, 581, 8465, 547, 7520, 741, 960, 543, 2123, 1272, 267, 607, 1134, 607, 547, 1450, 873, 547, 18481, 2170, 609, 3610, 543, 15032, 269, 1280, 2069, 20021, 267, 741, 1719, 538, 11173, 609, 513, 1982, 1131, 581, 538, 519, 3845, 7154, 1317, 621, 6087, 873, 547, 3136, 741, 960, 543, 2123, 1272, 269, 634, 4162, 789, 941, 1336, 547, 7287, 941, 7850, 15222, 748, 7886, 267, 5140, 3450, 543, 1565, 2994, 267, 543, 6190, 5872, 609, 3610, 543, 15032, 267, 607, 3254, 538, 7612, 476, 275, 454, 269, 634, 3604, 1063, 1053, 543, 20021, 4847, 721, 547, 917, 799, 5380, 3514, 519, 1110, 1275, 547, 3136, 4974, 513, 4876, 538, 2069, 563, 763, 3903, 7150, 676, 519, 20021, 547, 1353, 513, 1982, 538, 2069, 729, 1759, 593, 741, 4938, 566, 267, 1920, 8369, 267, 543, 519, 15980, 1761, 540, 741, 3924, 269, 3958, 267, 17013, 5156, 602, 2069, 3292, 1058, 1331, 3059, 7004, 630, 3199, 269, 273, 15992, 7744, 585, 6988, 630, 4281, 269, 274, 15992, 5683, 543, 12504, 6278, 630, 4281, 15992, 1514, 4987, 630, 4037, 269, 272, 15992, 1582, 31193, 1983, 630, 10463, 269, 276, 15992, 10014, 543, 2463, 585, 4763, 630, 3583, 269, 280, 15992, 1514, 5539, 630, 4792, 269, 276, 15992, 543, 5499, 20835, 630, 3393, 269, 275, 8472, 630, 5408, 7612, 476, 276, 454, 6097, 547, 519, 20021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9786, 543, 5845, 987, 1886, 626, 1916, 5194, 1106, 540, 13120, 602, 649, 1590, 2015, 3322, 2029, 267, 585, 621, 814, 519, 2702, 547, 15407, 938, 6197, 563, 2171, 1590, 1205, 2059, 609, 621, 269, 898, 2337, 721, 1921, 267, 621, 2488, 721, 5638, 267, 621, 29776, 3157, 269, 8409, 1919, 543, 2929, 824, 1919, 602, 616, 1500, 2009, 609, 2029, 563, 2005, 1522, 849, 2565, 538, 2053, 540, 6433, 899, 2221, 269, 6145, 594, 1767, 4505, 267, 835, 540, 519, 1034, 11358, 1919, 602, 2115, 547, 581, 2808, 538, 2053, 899, 891, 568, 3375, 6194, 563, 22897, 814, 519, 2702, 547, 948, 721, 6430, 24847, 543, 8308, 2094, 621, 666, 948, 721, 676, 3246, 1239, 267, 1344, 267, 543, 1256, 2079, 563, 1692, 1684, 1284, 4643, 1280, 519, 8892, 454, 12024, 594, 1767, 4505, 267, 649, 1058, 2141, 2503, 891, 2186, 540, 1919, 269, 901, 6433, 267, 713, 5774, 8598, 563, 2171, 849, 723, 14754, 875, 10413, 995, 621, 568, 2509, 938, 2729, 267, 938, 4346, 267, 938, 6214, 267, 543, 2417, 3467, 621, 779, 11451, 563, 28490, 596, 917, 519, 10546, 543, 917, 3054, 596, 991, 711, 4250, 519, 2164, 540, 513, 4627, 12959, 892, 910, 26422, 570, 30349, 630, 24336, 11096, 9372, 543, 13639, 7309, 626, 1916, 17471, 6937, 2154, 2518, 21769, 563, 2005, 568, 607, 1454, 607, 8165, 513, 1158, 2112, 267, 4849, 649, 782, 2671, 1455, 10546, 269, 1284, 1590, 1265, 1455, 4222, 547, 4339, 621, 543, 621, 6013, 538, 938, 17604, 543, 22524, 2570, 766, 563, 2171, 1058, 581, 2111, 547, 1118, 1344, 811, 3015, 538, 2053, 899, 891, 585, 1344, 602, 779, 4362, 538, 519, 6640, 538, 835, 2427, 540, 519, 1158, 1522, 948, 519, 824, 2427, 540, 519, 1158, 547, 4339, 1354, 519, 3781, 6420, 269, 634, 6268, 540, 835, 2197, 779, 28365, 1544, 1522, 948, 519, 824, 2477, 593, 3384, 741, 1378, 563, 2171, 991, 513, 2178, 1544, 3823, 3761, 5832, 269, 1284, 1174, 602, 3761, 568, 835, 540, 519, 8159, 2188, 540, 513, 4182, 779, 6668, 269, 1284, 1590, 333, 1406, 1577, 1142, 4182, 547, 7639, 593, 922, 1378, 543, 547, 11886, 922, 2115, 4805, 563, 10376, 2197, 779, 2702, 547, 1065, 816, 519, 1764, 9775, 1317, 1142, 2197, 779, 2564, 4390, 568, 711, 519, 1482, 538, 2474, 540, 922, 10986, 543, 922, 9744, 269, 18831, 945, 616, 1447, 4299, 676, 6433, 1058, 2141, 581, 5423, 547, 6494, 19307, 547, 2477, 945, 616, 8185, 4299, 269, 898, 568, 1058, 581, 9709, 585, 1169, 2197, 547, 11884, 6494, 741, 2564, 1394, 5725, 585, 519, 3283, 945, 616, 10413, 519, 1034, 543, 1810, 1406, 723, 519, 4390, 547, 4339, 563, 1607, 1544, 267, 713, 3486, 1071, 268, 7774, 267, 713, 5698, 568, 540, 519, 25932, 2956, 1317, 713, 2186, 540, 6433, 568, 1034, 2693, 2469, 547, 10956, 538, 519, 2104, 269, 769, 2110, 267, 649, 991, 606, 2500, 3210, 1062, 543, 513, 2178, 14425, 563, 9827, 267, 538, 519, 2104, 267, 649, 2461, 27613, 723, 547, 5965, 547, 2322, 606, 3617, 2179, 540, 5132, 538, 2257, 563, 16631, 2528, 1131, 711, 1152, 948, 721, 1174, 855, 621, 1131, 849, 948, 721, 18783, 5330, 5944, 563, 16631, 5391, 518, 919, 543, 16877, 2486, 563, 290, 5142, 529, 543, 4706, 3026, 947, 885, 454, 2005, 1223, 581, 2938, 607, 5609, 3563, 547, 2161, 1945, 1932, 2318, 827, 713, 6433, 2443, 585, 519, 1390, 2530, 543, 7372, 2179, 540, 9601, 563, 2005, 568, 267, 2705, 267, 23366, 19433, 673, 2094, 621, 1223, 1869, 2285, 721, 4245, 543, 2640, 585, 513, 1732, 2104, 563, 2108, 306, 22066, 6571, 540, 519, 6855, 6433, 949, 18663, 721, 547, 4308, 609, 8273, 2152, 602, 649, 723, 2394, 1631, 536, 1779, 539, 693, 29270, 892, 910, 297, 1563, 27339, 630, 9303, 20187, 543, 8191, 1916, 2005, 3217, 1312, 7088, 543, 24106, 547, 1711, 6505, 22774, 563, 15987, 621, 568, 15280, 855, 3006, 27465, 568, 2556, 563, 4517, 649, 723, 14754, 2676, 19136, 14078, 3323, 547, 2285, 1394, 811, 547, 2486, 5103, 519, 9620, 563, 293, 1430, 338, 6170, 811, 2053, 609, 741, 1453, 5103, 519, 2591, 693, 960, 563, 300, 1278, 338, 2919, 1753, 4213, 543, 1336, 1007, 12348, 5103, 741, 13467, 563, 10743, 8853, 609, 2228, 5049, 563, 27645, 1336, 1007, 543, 5499, 2081, 540, 3450, 563, 17829, 616, 23405, 269, 2986, 875, 4764, 28647, 2813, 856, 540, 519, 13766, 540, 3983, 1919, 543, 1434, 6547, 563, 17829, 1919, 1058, 2141, 1118, 721, 3314, 563, 6546, 649, 3112, 1577, 6000, 1152, 979, 607, 2484, 607, 519, 1158, 2636, 721, 547, 581, 563, 6546, 8726, 6381, 602, 649, 2461, 538, 267, 1100, 2339, 875, 2182, 519, 3510, 602, 649, 616, 6849, 267, 649, 1058, 2760, 1577, 1346, 1919, 5581, 945, 649, 616, 563, 12640, 6866, 1272, 24864, 721, 547, 938, 7182, 267, 649, 2461, 1175, 27613, 723, 547, 7903, 1346, 7182, 563, 10666, 519, 4107, 12830, 774, 532, 454, 2171, 782, 723, 15468, 547, 519, 8520, 540, 938, 3232, 13467, 563, 2171, 723, 4847, 938, 4356, 547, 20585, 938, 2631, 543, 10279, 607, 513, 851, 540, 2146, 563, 763, 4743, 540, 3532, 1145, 607, 952, 649, 2461, 2111, 547, 798, 1175, 3388, 563, 5445, 723, 1500, 721, 7340, 540, 1018, 5963, 6585, 2495, 538, 938, 2729, 267, 540, 519, 1034, 1271, 3364, 281, 938, 10362, 607, 14552, 543, 19946, 563, 1607, 6433, 814, 3254, 721, 938, 3020, 4778, 269, 898, 814, 547, 653, 1194, 519, 3239, 602, 649, 818, 706, 3585, 2844, 563, 10527, 1699, 6855, 814, 12006, 938, 22524, 11163, 281, 649, 616, 782, 4448, 547, 1142, 824, 267, 585, 1732, 610, 585, 8338, 269, 4475, 267, 547, 10836, 689, 713, 6433, 1732, 982, 1354, 267, 649, 723, 547, 798, 865, 1927, 282, 1927, 267, 711, 4805, 269, 8625, 269, 3502, 4805, 267, 1317, 621, 3112, 581, 2944, 269, 23657, 621, 568, 2944, 1927, 267, 610, 621, 568, 711, 2944, 269, 1284, 1590, 798, 621, 1927, 267, 782, 540, 721, 267, 538, 17604, 892, 910, 303, 2100, 14731, 630, 763, 476, 29214, 628, 15352, 1916, 5978, 5763, 267, 938, 6009, 267, 938, 10643, 267, 938, 24178, 602, 649, 18418, 2299, 3049, 267, 519, 1919, 602, 649, 616, 11348, 995, 540, 267, 607, 621, 5828, 856, 267, 789, 1810, 1406, 2339, 602, 1454, 563, 10303, 693, 519, 1439, 540, 519, 1554, 267, 1018, 649, 723, 568, 1142, 824, 563, 2080, 1290, 525, 519, 6129, 267, 5918, 268, 706, 268, 706, 268, 706, 2336, 763, 1159, 3796, 13059, 547, 519, 8188, 543, 519, 4672, 568, 7444, 13621, 269, 3371, 2501, 519, 3141, 2336, 12024, 513, 4062, 689, 835, 540, 519, 1034, 2442, 8964, 538, 1686, 676, 938, 11537, 7376, 634, 19468, 956, 267, 649, 1058, 581, 4712, 540, 15691, 585, 930, 12345, 540, 519, 3141, 547, 519, 1158, 1022, 942, 1631, 563, 14549, 5198, 568, 2027, 269, 1284, 616, 11108, 7068, 563, 10303, 649, 1223, 2671, 4276, 711, 1152, 689, 938, 991, 610, 15859, 563, 2171, 1223, 2671, 4296, 689, 519, 1919, 649, 3494, 538, 267, 519, 3741, 649, 3180, 3020, 267, 519, 9479, 649, 32444, 569, 2932, 267, 543, 519, 2984, 649, 2461, 5143, 563, 8170, 1576, 267, 1480, 5198, 786, 4473, 563, 24109, 753, 786, 8853, 563, 2171, 786, 8197, 979, 2484, 563, 3719, 1152, 676, 23578, 1927, 267, 6972, 4464, 2427, 676, 2427, 267, 666, 649, 3802, 519, 17439, 4554, 519, 3845, 267, 666, 649, 798, 811, 267, 666, 649, 3035, 2362, 563, 4517, 538, 519, 1439, 267, 519, 5638, 786, 1869, 1397, 563, 15371, 649, 1796, 593, 519, 1318, 2427, 540, 1686, 610, 711, 267, 855, 811, 11932, 2436, 649, 1491, 513, 1796, 610, 711, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 6225, 454, 333, 19153, 1336, 538, 2067, 3536, 563, 2005, 568, 2565, 547, 2057, 535, 714, 5414, 2571, 10425, 267, 2523, 897, 320, 20620, 604, 1004, 1483, 2213, 519, 3441, 789, 941, 3257, 547, 741, 4703, 789, 1131, 2760, 454, 323, 8667, 621, 1586, 256, 2353, 5686, 540, 2571, 10425, 616, 1360, 15755, 267, 855, 538, 1931, 547, 454, 928, 23018, 1125, 513, 4837, 540, 897, 320, 267, 621, 3217, 476, 3953, 14296, 540, 1164, 9063, 22279, 1216, 256, 898, 454, 529, 1134, 1634, 676, 519, 2564, 3924, 602, 2068, 14560, 3679, 267, 2523, 454, 4754, 1356, 269, 674, 714, 5414, 10425, 2965, 13204, 3433, 693, 513, 10408, 1377, 563, 2467, 568, 2810, 2963, 547, 1489, 519, 2013, 602, 454, 4621, 11167, 1804, 5666, 540, 10683, 3132, 8309, 547, 6089, 543, 17150, 454, 322, 19188, 269, 667, 8543, 2472, 2270, 1978, 10399, 267, 585, 1383, 267, 522, 652, 4088, 543, 454, 335, 1503, 716, 514, 267, 799, 616, 1336, 538, 10683, 5144, 267, 543, 538, 1840, 267, 789, 2270, 2208, 454, 2399, 832, 269, 1452, 2208, 2188, 616, 2966, 547, 1832, 1762, 12418, 3384, 2676, 517, 576, 789, 2811, 856, 540, 519, 3993, 781, 27042, 267, 2394, 789, 666, 3548, 6371, 269, 2290, 540, 891, 454, 29115, 2188, 267, 1572, 594, 24427, 268, 272, 267, 814, 1044, 9244, 26582, 538, 1312, 6089, 543, 454, 2889, 8063, 2860, 676, 1082, 3173, 563, 6624, 3536, 602, 616, 4922, 6994, 2213, 4043, 547, 581, 1164, 538, 454, 5632, 1559, 543, 5266, 1970, 538, 5567, 267, 1247, 1906, 22099, 2408, 585, 454, 1652, 9268, 3536, 971, 607, 5388, 543, 5613, 610, 2898, 9274, 543, 10365, 563, 288, 2732, 931, 529, 1746, 540, 834, 24105, 8477, 257, 568, 513, 11600, 454, 1721, 2192, 1072, 267, 855, 1082, 1004, 1810, 1405, 29311, 519, 2800, 789, 798, 547, 2933, 610, 454, 26132, 1453, 676, 9140, 15568, 9497, 19009, 8442, 10568, 2472, 267, 4006, 543, 454, 347, 1426, 5079, 454, 6546, 2025, 6031, 910, 834, 2791, 616, 1018, 596, 454, 324, 520, 257, 910, 2731, 10039, 547, 519, 2860, 3461, 269, 1284, 666, 543, 1058, 4323, 454, 4754, 1356, 676, 1739, 513, 2635, 2732, 267, 6704, 7899, 540, 4195, 1216, 543, 454, 28300, 532, 267, 6067, 6470, 267, 588, 8944, 267, 30644, 543, 3810, 9268, 3536, 563, 2171, 1616, 938, 1560, 547, 1831, 22279, 269, 1809, 519, 3328, 454, 310, 3480, 518, 22655, 513, 2732, 7361, 9967, 540, 22304, 267, 9761, 267, 6653, 267, 30644, 543, 454, 14683, 569, 9268, 3536, 269, 1452, 1711, 606, 3679, 1604, 1369, 938, 2281, 1141, 454, 323, 1047, 848, 666, 21707, 563, 3383, 938, 2597, 3884, 1405, 519, 1152, 3364, 4299, 454, 2421, 1018, 649, 3548, 269, 4014, 649, 1294, 1082, 14968, 1004, 1169, 1554, 267, 649, 949, 711, 454, 9418, 1047, 602, 1082, 540, 873, 616, 849, 7092, 689, 4057, 6484, 269, 18648, 454, 19256, 4617, 839, 519, 4761, 1062, 3850, 2860, 2281, 547, 1020, 563, 6624, 540, 2470, 781, 2067, 3536, 616, 4904, 454, 5976, 2860, 8165, 3601, 543, 666, 581, 606, 5393, 3730, 1907, 538, 938, 454, 321, 4490, 1996, 2860, 269, 4746, 267, 4657, 938, 4189, 6208, 666, 581, 513, 1713, 454, 4186, 1026, 5024, 3815, 538, 5883, 2860, 269, 1411, 786, 1265, 602, 972, 616, 1082, 454, 339, 805, 906, 585, 2860, 2139, 538, 707, 2199, 15945, 2336, 16100, 693, 938, 10918, 1592, 454, 25585, 4195, 1426, 568, 865, 1271, 454, 2252, 596, 2322, 513, 2030, 883, 513, 4158, 454, 24189, 4580, 267, 621, 786, 530, 2416, 543, 5884, 269, 8752, 568, 513, 2067, 10421, 585, 1272, 563, 21413, 1769, 972, 568, 1100, 1272, 563, 5978, 4703, 616, 2713, 7103, 799, 454, 7528, 790, 1769, 547, 1599, 7157, 269, 4634, 1507, 13066, 540, 21765, 1711, 513, 454, 5658, 539, 6454, 547, 3025, 781, 1072, 563, 15933, 338, 602, 616, 865, 3810, 9268, 602, 789, 454, 17647, 1185, 782, 519, 1272, 6569, 689, 873, 267, 666, 581, 9833, 607, 4158, 3536, 269, 1879, 649, 454, 4621, 2541, 1804, 9424, 540, 5779, 649, 616, 849, 8023, 938, 2281, 593, 4666, 2339, 563, 15919, 621, 814, 1044, 5779, 689, 606, 3662, 6854, 9800, 609, 6464, 2676, 656, 756, 7821, 543, 10399, 267, 799, 568, 1360, 3983, 3377, 8197, 585, 938, 4703, 563, 2791, 1522, 2161, 834, 8117, 1250, 22594, 454, 331, 1882, 782, 741, 2729, 593, 519, 3484, 4189, 5779, 267, 7423, 543, 10381, 543, 789, 5030, 454, 339, 650, 789, 941, 476, 4200, 10590, 543, 782, 594, 666, 2161, 568, 602, 1919, 941, 4625, 454, 18528, 5166, 1287, 269, 5253, 7031, 543, 2831, 941, 6659, 1418, 1227, 543, 1426, 729, 454, 335, 25033, 269, 25095, 7821, 1705, 711, 2291, 563, 5445, 1705, 711, 7985, 519, 2011, 5533, 610, 519, 454, 19491, 549, 2173, 8568, 5982, 799, 649, 723, 538, 2413, 2053, 267, 543, 13802, 941, 711, 454, 11398, 538, 741, 3536, 607, 789, 616, 2221, 563, 2467, 568, 513, 5198, 540, 1004, 267, 519, 21373, 345, 553, 267, 945, 454, 331, 633, 538, 519, 22615, 18885, 9087, 1054, 1571, 269, 1358, 22991, 7639, 547, 513, 5039, 531, 2025, 454, 720, 269, 1703, 568, 1100, 2262, 585, 2860, 538, 741, 6863, 267, 1317, 621, 568, 513, 2068, 454, 684, 4385, 547, 873, 269, 1358, 2811, 1869, 4730, 11176, 693, 476, 1911, 1296, 2025, 543, 789, 723, 454, 7224, 2262, 585, 834, 4958, 790, 618, 257, 2901, 267, 1317, 789, 1404, 606, 3742, 851, 538, 454, 26132, 2146, 2394, 789, 5884, 267, 7654, 693, 519, 2085, 540, 476, 9610, 610, 476, 5611, 586, 3464, 2025, 563, 17829, 11031, 268, 15161, 2661, 593, 513, 2732, 540, 700, 25893, 454, 25988, 267, 602, 568, 267, 1426, 799, 814, 1360, 5063, 1044, 3395, 538, 519, 1769, 269, 1358, 3548, 454, 854, 2370, 5779, 543, 1100, 10683, 3132, 6306, 689, 28448, 1500, 2571, 23820, 781, 454, 3832, 3150, 269, 4256, 20013, 2732, 5161, 540, 4195, 4829, 543, 5388, 267, 2898, 9274, 2676, 22756, 543, 15708, 543, 7899, 540, 2973, 267, 4195, 1216, 563, 8170, 1576, 649, 1810, 1405, 2661, 538, 513, 29814, 267, 25560, 454, 16451, 1604, 538, 519, 6552, 9087, 1054, 1571, 540, 519, 22615, 18885, 15142, 267, 855, 649, 27114, 454, 24708, 513, 3978, 6454, 547, 938, 1378, 6197, 865, 602, 649, 2611, 2635, 883, 454, 712, 2025, 2085, 563, 2304, 11566, 5048, 585, 3025, 568, 713, 281, 519, 6574, 948, 454, 933, 666, 2285, 6000, 538, 519, 6370, 1996, 2860, 568, 547, 1589, 9797, 543, 454, 10964, 10079, 649, 666, 1118, 513, 3017, 2336, 2171, 666, 948, 6000, 547, 9133, 31795, 1072, 609, 454, 712, 1378, 2123, 10872, 267, 1317, 519, 1072, 540, 938, 1560, 568, 12199, 676, 519, 454, 8234, 540, 938, 8186, 563, 2171, 666, 4323, 938, 2860, 267, 621, 991, 711, 1205, 454, 1492, 1732, 540, 721, 269, 1284, 666, 3196, 621, 547, 18956, 609, 519, 10149, 712, 540, 938, 454, 323, 20986, 269, 1284, 666, 1491, 5279, 540, 938, 4703, 267, 543, 798, 3388, 1369, 938, 454, 12741, 547, 2132, 547, 476, 1911, 260, 30437, 1434, 1072, 2336, 3086, 568, 519, 3501, 942, 547, 454, 335, 15462, 519, 3741, 540, 6604, 676, 31811, 519, 4761, 1062, 267, 799, 594, 454, 17367, 958, 3494, 568, 519, 1883, 547, 17005, 2860, 0, 763, 30546, 623, 626, 528, 3780, 12638, 4693, 814, 4547, 547, 1769, 519, 2479, 1790, 6974, 13253, 1063, 606, 1367, 779, 1318, 547, 7834, 267, 2523, 950, 789, 616, 513, 1857, 4137, 543, 519, 2923, 779, 1318, 547, 5191, 540, 4082, 2523, 950, 519, 1344, 568, 538, 519, 1857, 1719, 269, 3162, 4000, 607, 513, 2197, 609, 513, 1686, 540, 7130, 2141, 1193, 1161, 547, 27481, 782, 519, 2924, 540, 922, 4961, 865, 538, 513, 2013, 971, 607, 623, 626, 528, 3780, 685, 1141, 972, 616, 1079, 2924, 538, 4334, 267, 621, 568, 2760, 2312, 799, 835, 1058, 581, 5951, 1042, 538, 12797, 540, 519, 824, 269, 15526, 267, 581, 646, 1857, 4137, 610, 711, 267, 568, 13886, 547, 930, 1106, 540, 7834, 282, 519, 2832, 1287, 585, 519, 2923, 267, 543, 519, 10470, 568, 547, 1265, 856, 875, 2484, 519, 7834, 540, 2043, 666, 581, 3267, 1613, 1647, 540, 519, 3561, 2483, 763, 12514, 1590, 581, 8704, 538, 971, 513, 1259, 602, 789, 798, 711, 15936, 609, 18659, 269, 3143, 8254, 12427, 786, 581, 4847, 538, 519, 5480, 3336, 547, 1852, 3937, 267, 547, 2061, 21463, 2507, 631, 4594, 2692, 4847, 519, 6679, 4661, 585, 1533, 543, 20237, 267, 4274, 2963, 267, 543, 519, 21981, 540, 7128, 543, 782, 9844, 532, 1533, 22168, 547, 581, 13739, 539, 2507, 1160, 15582, 22168, 949, 1528, 547, 723, 741, 21981, 609, 18988, 689, 3381, 12514, 563, 303, 626, 528, 3780, 685, 8878, 11130, 1996, 519, 31076, 1317, 789, 5156, 602, 621, 1131, 1291, 1864, 547, 3478, 606, 15490, 4693, 269, 1809, 25960, 14480, 16330, 631, 327, 4594, 2692, 1767, 602, 1317, 519, 4693, 729, 538, 519, 1857, 1719, 267, 31076, 621, 1131, 2327, 602, 811, 1004, 941, 2111, 547, 723, 1569, 547, 519, 18659, 968, 685, 31860, 1346, 945, 616, 4057, 543, 945, 723, 1336, 621, 2352, 547, 1569, 519, 5126, 1062, 267, 789, 1058, 723, 513, 1101, 11804, 2272, 540, 519, 18659, 5473, 513, 2199, 543, 3486, 12835, 10200, 892, 630, 577, 756, 9346, 281, 476, 1001, 275, 1916, 763, 11156, 540, 3162, 4000, 9598, 919, 602, 1169, 1268, 538, 519, 2197, 814, 1978, 2924, 269, 1452, 2924, 949, 711, 581, 7745, 610, 19847, 8259, 538, 4655, 609, 1776, 9583, 811, 1271, 1318, 269, 8307, 519, 5480, 540, 1876, 666, 2161, 950, 513, 1318, 949, 581, 19847, 269, 4340, 547, 634, 9291, 540, 7126, 267, 968, 22336, 821, 814, 519, 1318, 547, 7834, 1848, 630, 6347, 9139, 281, 476, 866, 1040, 769, 13643, 685, 2048, 2691, 519, 5398, 9314, 568, 711, 1018, 4690, 519, 5398, 685, 630, 15433, 13211, 288, 1268, 267, 945, 267, 676, 1010, 18517, 267, 21239, 2507, 610, 3924, 2507, 799, 3947, 519, 1857, 513, 16048, 1719, 538, 1010, 798, 902, 267, 1010, 12602, 267, 543, 1010, 1915, 282, 814, 1831, 513, 2048, 21504, 1268, 10200, 7316, 513, 1268, 779, 1259, 540, 1272, 568, 9859, 547, 5275, 32398, 543, 646, 568, 9763, 676, 519, 2486, 538, 799, 646, 2729, 607, 513, 28910, 267, 585, 3236, 2507, 1496, 320, 316, 3318, 5026, 2006, 2507, 646, 568, 2808, 267, 547, 513, 1978, 6708, 267, 547, 723, 585, 10623, 1243, 1010, 1318, 547, 7834, 563, 6097, 547, 713, 4214, 267, 30546, 623, 626, 528, 3780, 568, 513, 1857, 4137, 269, 1261, 568, 1634, 1312, 12725, 543, 18368, 269, 1261, 568, 513, 3318, 19002, 267, 29805, 2048, 763, 16405, 27460, 9957, 634, 1857, 814, 513, 16048, 1719, 538, 1864, 607, 646, 568, 513, 5595, 18041, 1393, 324, 945, 2841, 525, 538, 1312, 2111, 1532, 617, 1221, 543, 18041, 1393, 324, 18942, 2621, 269, 3571, 32398, 568, 1018, 3366, 1864, 547, 581, 23032, 676, 2462, 12478, 899, 715, 833, 269, 623, 626, 528, 3780, 568, 2907, 2048, 2908, 1873, 20564, 685, 607, 513, 1268, 543, 519, 12638, 540, 1010, 8004, 23136, 267, 1234, 21416, 6008, 523, 330, 2086, 1500, 1864, 1256, 811, 865, 269, 1403, 513, 3339, 12504, 1185, 2944, 519, 1482, 646, 1131, 723, 4440, 21959, 1229, 930, 3007, 855, 711, 547, 519, 6708, 602, 30546, 623, 626, 528, 3780, 1705, 282, 855, 267, 602, 568, 1317, 646, 568, 513, 1857, 4137, 269, 634, 2601, 1946, 513, 3339, 5045, 3979, 1131, 711, 1205, 519, 1482, 2179, 540, 3486, 2923, 22987, 1185, 646, 1044, 538, 519, 1482, 3510, 267, 568, 1317, 646, 568, 711, 607, 1007, 1873, 20564, 547, 824, 2477, 282, 741, 1857, 1131, 711, 581, 607, 5461, 538, 1864, 1317, 789, 798, 711, 917, 1864, 607, 789, 798, 623, 626, 528, 3780, 563, 763, 9291, 540, 7126, 849, 2829, 602, 968, 22336, 821, 814, 519, 1318, 547, 5191, 540, 4082, 799, 2882, 268, 5191, 540, 2046, 543, 824, 1199, 5362, 2507, 901, 1318, 2507, 1281, 711, 8831, 547, 18259, 585, 2112, 267, 1651, 924, 618, 540, 31873, 5208, 282, 610, 14223, 1862, 0, 763, 631, 18863, 529, 630, 270, 1889, 22688, 16659, 16210, 27474, 270, 264, 616, 2818, 540, 6803, 2516, 5065, 547, 4516, 543, 2694, 540, 519, 2136, 2276, 602, 10250, 741, 16350, 547, 1312, 6805, 3345, 4892, 543, 3864, 13896, 269, 20323, 519, 2165, 4294, 547, 3943, 18702, 6404, 268, 15869, 3885, 267, 2523, 538, 519, 4414, 5211, 1858, 540, 1018, 2968, 31671, 20899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 707, 12363, 912, 8199, 26921, 3888, 21267, 11885, 454, 7884, 9202, 267, 1577, 781, 1104, 519, 8021, 649, 786, 581, 1210, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 8199, 9616, 602, 649, 616, 1210, 519, 2387, 31596, 319, 5399, 585, 10230, 4238, 543, 519, 2387, 3901, 15003, 28272, 319, 5399, 585, 2870, 13602, 269, 1284, 723, 620, 328, 1078, 873, 607, 2387, 12639, 319, 543, 2387, 10823, 319, 6606, 585, 13418, 780, 2162, 18140, 1154, 4578, 692, 4131, 781, 1376, 676, 2870, 513, 2241, 4729, 269, 1284, 786, 5352, 930, 4351, 1239, 1210, 519, 2387, 31596, 319, 5399, 543, 4729, 621, 1210, 519, 2387, 335, 2643, 629, 319, 5399, 780, 5575, 267, 1577, 781, 5352, 930, 1239, 912, 3499, 7090, 454, 343, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 1015, 267, 476, 1911, 994, 344, 815, 5286, 4732, 514, 3287, 994, 8199, 2080, 267, 649, 616, 1210, 519, 2387, 331, 1231, 10628, 319, 1599, 689, 519, 2387, 31596, 319, 5399, 547, 5352, 476, 1911, 14961, 22274, 2418, 1063, 476, 271, 543, 476, 1015, 269, 1284, 616, 1287, 1210, 519, 2387, 7562, 319, 1599, 689, 519, 2387, 31596, 319, 5399, 547, 5352, 519, 20534, 540, 891, 2418, 780, 9202, 267, 1577, 781, 4729, 713, 1239, 912, 3499, 7090, 454, 10823, 19502, 3287, 267, 586, 994, 10823, 20481, 4590, 8199, 2080, 267, 649, 616, 1210, 519, 2387, 7120, 319, 1599, 689, 519, 2387, 335, 2643, 629, 319, 5399, 547, 1711, 513, 1899, 4729, 540, 938, 1239, 269, 634, 2387, 19651, 319, 1599, 568, 1287, 1031, 547, 4159, 519, 4729, 780, 2162, 11426, 1944, 1773, 1824, 692, 3086, 602, 649, 723, 2813, 513, 2241, 4729, 267, 1577, 781, 2263, 930, 2081, 547, 21160, 621, 780, 2971, 7412, 12296, 543, 7822, 692, 2171, 666, 21160, 519, 8700, 543, 2681, 540, 519, 1899, 538, 938, 4729, 1210, 519, 2387, 1467, 12296, 319, 543, 2387, 10233, 319, 6724, 267, 6606, 912, 3499, 7090, 454, 10823, 19502, 3287, 267, 586, 267, 1899, 12296, 284, 274, 269, 271, 267, 2681, 8782, 330, 5073, 10823, 20481, 4590, 8199, 2080, 267, 649, 616, 4259, 519, 8700, 540, 519, 1899, 547, 476, 274, 269, 271, 543, 519, 2681, 547, 3109, 630, 319, 330, 319, 6393, 2971, 3690, 10337, 692, 2171, 666, 849, 1039, 11413, 547, 938, 4729, 1210, 519, 2387, 10401, 319, 9936, 912, 3499, 7090, 454, 10823, 19502, 3287, 267, 586, 267, 1899, 12296, 284, 274, 269, 271, 267, 2681, 8782, 330, 3299, 13672, 284, 271, 269, 277, 994, 10823, 20481, 4590, 8199, 2080, 267, 649, 616, 4259, 519, 11413, 547, 476, 271, 269, 277, 267, 799, 1797, 602, 519, 1899, 786, 581, 476, 2568, 260, 32630, 543, 476, 2412, 260, 12001, 780, 2971, 8298, 15162, 6193, 2480, 2297, 692, 1103, 1840, 547, 5276, 10253, 267, 649, 666, 849, 946, 32568, 10253, 538, 938, 13602, 269, 901, 666, 581, 3730, 950, 7231, 609, 1239, 602, 21269, 1896, 9753, 540, 9588, 780, 2414, 946, 513, 32568, 4336, 267, 649, 666, 946, 519, 2387, 343, 29173, 319, 543, 2387, 903, 7051, 319, 3252, 912, 3499, 7090, 454, 10823, 19502, 3287, 267, 586, 267, 1899, 12296, 284, 274, 269, 271, 267, 2681, 8782, 330, 3299, 13672, 284, 271, 269, 277, 994, 10823, 11859, 29173, 3488, 8421, 5073, 10823, 269, 903, 7051, 3488, 8421, 5073, 10823, 20481, 4590, 8199, 2080, 267, 649, 616, 4259, 1312, 519, 1535, 543, 586, 17887, 547, 946, 513, 32568, 4336, 780, 2971, 30540, 1773, 1824, 692, 7661, 267, 1577, 781, 2263, 875, 547, 4688, 938, 13602, 547, 513, 3758, 269, 1284, 666, 946, 519, 2387, 338, 1511, 14808, 319, 1599, 547, 798, 713, 912, 3499, 7090, 454, 10823, 19502, 3287, 267, 586, 267, 1899, 12296, 284, 274, 269, 271, 267, 2681, 8782, 330, 3299, 13672, 284, 271, 269, 277, 994, 10823, 4732, 1511, 14808, 3488, 7120, 15005, 5073, 8199, 2080, 267, 649, 616, 9494, 519, 4729, 547, 513, 3758, 3957, 2387, 7120, 15005, 27471, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 723, 8268, 519, 9238, 540, 1239, 14839, 1210, 5124, 269, 1284, 723, 4121, 875, 547, 1711, 543, 21160, 13602, 1210, 519, 2387, 335, 2643, 629, 319, 5399, 267, 543, 875, 547, 4688, 938, 13602, 547, 513, 3758, 269, 769, 519, 1985, 3184, 267, 649, 786, 2263, 811, 4359, 3584, 538, 1239, 14839, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 335, 11468, 268, 272, 316, 1262, 273, 264, 2608, 476, 272, 269, 271, 1315, 1900, 17482, 314, 271, 28413, 1038, 7455, 6910, 9638, 578, 9217, 267, 476, 271, 269, 276, 4917, 1038, 1775, 815, 1775, 1341, 272, 28329, 825, 28894, 629, 19502, 16868, 916, 267, 567, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 267, 13672, 815, 476, 271, 269, 277, 994, 825, 28894, 629, 19502, 263, 2017, 557, 267, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 994, 8931, 825, 28894, 629, 4732, 1511, 14808, 6600, 793, 1868, 314, 13678, 316, 1341, 29717, 23486, 5073, 8931, 8931, 825, 12361, 2845, 4336, 454, 825, 28894, 629, 8807, 2682, 263, 273, 994, 825, 585, 678, 342, 538, 678, 342, 11907, 912, 1038, 28894, 629, 19502, 16868, 342, 267, 13672, 815, 476, 271, 269, 279, 994, 8931, 825, 28894, 629, 19502, 16868, 916, 267, 567, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 267, 13672, 815, 476, 271, 269, 277, 994, 825, 28894, 629, 19502, 263, 2017, 557, 267, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 264, 3097, 8931, 825, 28894, 629, 11859, 29173, 3488, 8421, 5073, 825, 28894, 629, 269, 903, 7051, 3488, 8421, 5073, 8931, 825, 28894, 629, 4732, 1511, 14808, 6600, 793, 1868, 314, 13678, 316, 1341, 21507, 8421, 15005, 262, 9239, 1012, 1623, 2845, 4336, 454, 258, 335, 2643, 629, 8807, 2682, 263, 274, 2020, 258, 1721, 678, 342, 538, 678, 342, 11907, 912, 258, 825, 28894, 629, 19502, 16868, 342, 267, 13672, 815, 476, 271, 269, 279, 2020, 258, 335, 2643, 629, 19502, 16868, 916, 267, 567, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 267, 13672, 815, 476, 271, 269, 277, 994, 258, 335, 2643, 629, 19502, 263, 2017, 557, 267, 2681, 815, 1412, 330, 3299, 1899, 12296, 815, 476, 274, 269, 271, 264, 8528, 258, 335, 2643, 629, 11859, 29173, 3488, 1910, 6447, 690, 5073, 258, 335, 2643, 629, 269, 903, 7051, 3488, 1910, 6447, 690, 262, 9239, 1012, 4729, 1277, 454, 258, 331, 1231, 10628, 815, 11885, 7456, 1231, 10628, 8987, 8517, 267, 476, 7785, 267, 476, 1220, 271, 2020, 258, 335, 2643, 629, 8807, 2682, 263, 275, 994, 258, 335, 2643, 629, 269, 7290, 16868, 342, 11907, 11053, 314, 15886, 4200, 267, 18737, 272, 3910, 561, 1231, 10628, 267, 2845, 815, 6936, 267, 2681, 815, 1412, 330, 3299, 13672, 815, 476, 271, 269, 275, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 3400, 341, 625, 910, 589, 5548, 5534, 18827, 547, 7102, 2725, 531, 692, 5970, 596, 2479, 8854, 547, 513, 13962, 543, 10288, 513, 8670, 602, 3357, 609, 513, 8949, 6960, 14036, 286, 2334, 14036, 1522, 723, 1044, 513, 1826, 540, 1178, 11803, 256, 3400, 11803, 568, 513, 29316, 5277, 602, 568, 1419, 1500, 676, 5394, 2287, 5779, 23238, 610, 26185, 269, 898, 8591, 7509, 543, 6492, 547, 1082, 8286, 899, 11792, 1117, 12277, 267, 8631, 532, 267, 543, 16469, 971, 607, 9269, 267, 14132, 267, 610, 21429, 269, 4653, 267, 649, 3513, 1451, 827, 1018, 28040, 625, 616, 267, 875, 789, 2811, 1500, 267, 543, 930, 2442, 2010, 540, 1178, 11803, 10150, 1472, 519, 1158, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 3513, 581, 9599, 547, 2119, 1818, 707, 1360, 1378, 19471, 1178, 11803, 2439, 1432, 4010, 568, 1178, 11803, 888, 10900, 692, 294, 9545, 344, 568, 9247, 513, 29902, 14036, 2813, 1210, 3443, 5671, 25940, 630, 1492, 3170, 543, 10433, 2451, 3297, 1310, 5986, 5779, 1070, 5916, 609, 7912, 610, 8970, 560, 1105, 547, 948, 5394, 523, 621, 909, 269, 4826, 267, 6006, 267, 610, 26185, 949, 849, 581, 3773, 1282, 519, 7041, 1184, 269, 901, 7848, 1138, 11302, 1927, 543, 10953, 883, 513, 3638, 543, 26345, 1840, 547, 1585, 6980, 780, 1692, 1281, 835, 1711, 32727, 696, 1190, 1178, 11803, 888, 5785, 19030, 2080, 781, 513, 2241, 1900, 8386, 9912, 3391, 547, 5965, 2596, 1178, 11803, 1384, 272, 269, 2991, 5986, 707, 9053, 5779, 267, 4894, 621, 689, 519, 3443, 267, 6028, 3297, 1346, 10475, 5671, 25940, 269, 2142, 2386, 547, 1832, 707, 11273, 5779, 3636, 1247, 8600, 519, 1178, 11803, 563, 273, 269, 9255, 519, 3443, 609, 5671, 25940, 936, 5420, 3002, 593, 519, 23041, 269, 1280, 1169, 7484, 540, 5277, 2877, 267, 3575, 1079, 26486, 540, 3170, 609, 1079, 26486, 540, 7912, 547, 1106, 513, 13594, 1572, 513, 13193, 343, 269, 13648, 519, 13193, 343, 585, 5111, 835, 8792, 267, 28817, 7683, 865, 621, 3085, 1405, 6633, 563, 274, 269, 26431, 13248, 538, 1216, 267, 6006, 267, 610, 26185, 883, 519, 13193, 343, 1247, 22090, 6362, 11179, 269, 15566, 4946, 5277, 2394, 5551, 11007, 568, 6603, 269, 1411, 949, 946, 5144, 3079, 540, 824, 15559, 952, 596, 4782, 513, 14402, 11954, 1178, 11803, 563, 275, 269, 14190, 519, 1178, 11803, 547, 9900, 19389, 2476, 585, 1896, 3764, 267, 1869, 28817, 12212, 269, 17897, 609, 6070, 543, 14723, 2687, 547, 13283, 269, 5457, 602, 4005, 532, 5673, 593, 2436, 596, 1031, 5667, 531, 1540, 13632, 610, 30644, 2156, 2195, 282, 4188, 9935, 563, 276, 269, 4495, 4712, 267, 8833, 519, 1178, 11803, 998, 513, 5386, 17450, 521, 10079, 547, 9004, 1022, 561, 7927, 543, 12492, 513, 5347, 9403, 269, 31160, 5612, 936, 707, 5172, 8286, 269, 17949, 2439, 28082, 8677, 540, 1178, 11803, 1472, 519, 8608, 454, 14343, 21387, 2467, 616, 3875, 7648, 540, 1178, 11803, 2066, 1114, 4529, 269, 2368, 1134, 8153, 3283, 1331, 1384, 2162, 11894, 3400, 11803, 692, 1607, 11599, 1977, 20013, 24865, 689, 21175, 16873, 10023, 887, 770, 21429, 269, 5381, 547, 938, 3105, 1383, 267, 621, 3096, 21429, 5671, 25940, 2059, 609, 11922, 543, 14546, 899, 16815, 1889, 267, 9782, 4424, 267, 27041, 267, 543, 15922, 3762, 547, 3986, 922, 24710, 543, 8137, 9043, 780, 2162, 9466, 2201, 542, 3400, 11803, 692, 288, 5929, 3703, 2427, 330, 1157, 547, 2295, 344, 5779, 533, 625, 267, 30725, 1137, 267, 3165, 267, 543, 13365, 267, 6960, 22323, 1178, 11803, 2934, 1286, 14712, 1242, 19637, 3500, 2275, 10541, 538, 7423, 2394, 11344, 6960, 269, 1452, 21352, 539, 19637, 5305, 2067, 14836, 799, 3565, 547, 922, 2620, 2681, 543, 29284, 269, 17164, 762, 610, 14132, 6006, 1287, 26082, 519, 5428, 1354, 1373, 5394, 2989, 609, 513, 13193, 343, 780, 2162, 25385, 1725, 1961, 28397, 576, 692, 8512, 540, 3943, 11951, 781, 19416, 834, 15948, 27156, 2437, 17611, 1725, 1961, 6238, 609, 513, 4158, 13193, 343, 6404, 609, 1654, 531, 610, 14132, 6006, 543, 16603, 6986, 324, 269, 3244, 332, 1229, 7444, 267, 621, 2164, 538, 513, 5394, 267, 6063, 557, 1399, 267, 6960, 14036, 3501, 585, 15098, 11912, 540, 2699, 5779, 780, 3086, 602, 596, 917, 811, 827, 28040, 625, 267, 1946, 711, 2285, 873, 513, 2119, 1985, 942, 596, 3434, 286, 1358, 2811, 11684, 267, 4313, 532, 267, 543, 3808, 547, 23666, 2828, 543, 1920, 7567, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 666, 1205, 4503, 585, 3108, 7421, 4845, 3889, 267, 26819, 532, 2262, 6165, 267, 543, 3181, 908, 18685, 3652, 269, 1924, 950, 594, 16686, 2390, 513, 23749, 8142, 827, 1362, 4328, 1114, 2694, 540, 4633, 267, 594, 7948, 1405, 5706, 17259, 538, 780, 3080, 3593, 11540, 519, 4845, 834, 763, 3032, 6299, 5523, 1996, 1250, 7953, 2437, 6998, 585, 948, 7114, 922, 3334, 269, 1306, 513, 19023, 23316, 27423, 267, 594, 3533, 16403, 539, 538, 267, 7157, 21458, 1142, 851, 281, 834, 763, 257, 630, 14835, 1070, 834, 13906, 257, 630, 29825, 1070, 834, 13041, 5523, 257, 630, 14620, 1070, 834, 28785, 560, 257, 630, 2181, 6570, 1070, 834, 3240, 257, 630, 25809, 1735, 1070, 543, 834, 5586, 338, 257, 630, 29825, 1040, 898, 729, 1175, 1776, 1554, 593, 519, 4950, 267, 7234, 9583, 27217, 3584, 609, 8284, 562, 518, 1091, 269, 9741, 1705, 594, 917, 267, 1919, 941, 827, 547, 1491, 606, 6397, 2490, 780, 24137, 4464, 513, 3018, 2663, 267, 1247, 19855, 678, 270, 6343, 560, 20130, 12704, 1107, 513, 1016, 1042, 9016, 6131, 547, 6177, 8446, 1107, 594, 3357, 2066, 513, 15116, 8666, 540, 1018, 7902, 547, 581, 513, 1507, 22559, 829, 3481, 29691, 513, 20545, 14006, 269, 2271, 29098, 267, 594, 4956, 547, 2671, 1250, 6602, 593, 1896, 824, 13395, 2228, 2950, 267, 1519, 519, 23316, 1895, 1141, 594, 1185, 7604, 1078, 1250, 6791, 2395, 4505, 780, 306, 3019, 2614, 267, 3755, 689, 1312, 7449, 3459, 27300, 6436, 827, 875, 713, 12691, 19427, 1223, 3142, 938, 1079, 10600, 1927, 269, 1656, 1287, 621, 5734, 803, 910, 649, 2877, 513, 4161, 256, 589, 7874, 6735, 1063, 519, 8239, 7192, 20601, 15606, 543, 519, 6177, 342, 520, 7129, 1131, 15983, 8141, 930, 4277, 7391, 780, 3383, 594, 6069, 513, 4305, 281, 4766, 519, 9814, 6177, 1210, 1152, 1913, 10362, 547, 519, 1482, 851, 540, 4633, 607, 1346, 1336, 538, 834, 763, 3032, 6299, 5523, 1996, 1250, 7953, 1701, 1280, 1383, 267, 952, 789, 8359, 13450, 267, 741, 6609, 1522, 1413, 1945, 899, 713, 281, 834, 14503, 583, 1562, 267, 11876, 951, 267, 32625, 3623, 1836, 3010, 2750, 322, 924, 618, 1786, 14954, 1369, 519, 16034, 540, 1312, 2516, 267, 543, 5171, 23362, 19179, 1243, 519, 2462, 7866, 269, 7053, 267, 1310, 1454, 24736, 267, 594, 30792, 519, 2626, 281, 8738, 8089, 26449, 269, 901, 11527, 5737, 13442, 19646, 1279, 7953, 267, 5180, 9843, 267, 543, 11495, 5835, 4064, 1107, 3501, 535, 617, 1457, 585, 938, 2370, 3014, 780, 2026, 22347, 3827, 23953, 538, 267, 594, 14952, 539, 693, 519, 5876, 543, 18854, 10268, 676, 2818, 689, 1312, 13122, 269, 2368, 1904, 539, 585, 10855, 21371, 9497, 339, 4176, 3887, 1563, 267, 5070, 23469, 19823, 1866, 9053, 2962, 1790, 17977, 13450, 9497, 701, 1359, 267, 27342, 6883, 267, 10122, 20257, 17859, 540, 799, 7121, 789, 8359, 267, 3025, 17947, 519, 4161, 2898, 27329, 569, 267, 18445, 602, 1256, 519, 1034, 21372, 15174, 540, 519, 4950, 666, 6536, 23274, 543, 1565, 780, 1103, 10452, 593, 713, 1995, 267, 594, 7691, 602, 3006, 19480, 856, 540, 707, 4313, 7997, 1107, 2436, 621, 781, 18167, 883, 513, 4914, 1719, 610, 3981, 532, 606, 1055, 18566, 2856, 1107, 666, 1291, 547, 23429, 4296, 543, 3407, 4030, 269, 1635, 28043, 891, 3982, 2950, 267, 649, 27838, 513, 3152, 7071, 585, 1142, 824, 781, 18653, 543, 7152, 602, 972, 781, 1419, 811, 16937, 982, 10742, 519, 3750, 780, 4517, 945, 6487, 286, 9320, 1985, 942, 267, 3079, 540, 7421, 5220, 610, 7114, 5017, 267, 649, 3513, 7832, 593, 606, 15834, 7045, 5473, 26095, 3270, 610, 8013, 3905, 14036, 512, 8463, 269, 2991, 782, 267, 950, 3309, 8186, 2097, 1927, 267, 4376, 568, 2009, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 12218, 1518, 519, 1739, 4845, 883, 835, 540, 519, 2947, 3119, 2694, 540, 4633, 563, 763, 3032, 6299, 5523, 1996, 1250, 7953, 563, 763, 4845, 3568, 1585, 2694, 540, 4633, 912, 10454, 257, 568, 606, 2376, 267, 513, 1826, 540, 1999, 10719, 563, 257, 13906, 257, 568, 513, 10902, 563, 257, 13041, 5523, 257, 568, 513, 8231, 563, 257, 28785, 560, 257, 568, 513, 840, 6570, 563, 257, 3240, 257, 568, 513, 15749, 563, 257, 5586, 338, 257, 568, 513, 10902, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 769, 519, 7706, 540, 3556, 3756, 267, 1906, 723, 6913, 519, 1377, 540, 30483, 543, 6988, 607, 8115, 269, 13018, 267, 519, 6679, 5012, 538, 8115, 2154, 6297, 7156, 543, 7580, 3206, 269, 1323, 6679, 1291, 5036, 519, 3942, 585, 519, 1964, 540, 519, 1688, 543, 666, 3648, 1764, 519, 6364, 540, 519, 3014, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 14960, 540, 6679, 5012, 538, 8115, 267, 1210, 519, 2833, 540, 938, 2951, 518, 538, 670, 752, 821, 607, 6667, 780, 5331, 3054, 7555, 29691, 513, 7823, 25170, 267, 11303, 676, 18932, 3039, 2044, 543, 18198, 5784, 269, 1411, 1491, 513, 2620, 7362, 267, 4743, 1045, 580, 528, 730, 676, 519, 26546, 2011, 267, 543, 1118, 707, 1847, 910, 19480, 5196, 519, 670, 752, 821, 18052, 3118, 267, 4712, 585, 606, 7045, 269, 3807, 607, 519, 18052, 3118, 3091, 1585, 642, 656, 720, 2798, 2429, 519, 3460, 267, 13031, 1007, 8916, 2059, 519, 1259, 267, 865, 1932, 798, 6679, 5012, 538, 8115, 1683, 3982, 5380, 1759, 593, 741, 2990, 543, 3483, 269, 2913, 781, 2263, 891, 2189, 3344, 998, 2185, 1883, 11775, 281, 4259, 519, 5748, 267, 10442, 1981, 2188, 267, 8939, 519, 6099, 4640, 267, 543, 15268, 547, 13346, 6381, 780, 1262, 30787, 519, 7690, 281, 4197, 9978, 9828, 4373, 6524, 11362, 2212, 14140, 883, 4359, 2994, 267, 621, 568, 1898, 547, 3715, 4396, 13654, 1983, 269, 1879, 14045, 2390, 606, 6679, 1291, 267, 5716, 1058, 2015, 1896, 4909, 3741, 1384, 272, 269, 2878, 15575, 5093, 14419, 875, 1082, 6486, 540, 519, 9290, 2611, 538, 1312, 707, 1688, 543, 546, 16244, 781, 1688, 269, 18833, 519, 1297, 540, 14222, 6486, 2636, 596, 547, 1544, 6619, 3927, 563, 273, 269, 2878, 295, 517, 832, 5093, 10576, 1022, 26549, 630, 288, 576, 267, 3751, 267, 10348, 267, 10793, 267, 14210, 264, 1459, 538, 707, 1688, 543, 1346, 6534, 1282, 1404, 269, 12968, 832, 666, 3310, 519, 10171, 540, 1967, 950, 3056, 513, 1880, 9290, 563, 274, 269, 2878, 18850, 9084, 5093, 8178, 519, 3892, 540, 1164, 6486, 1063, 707, 1688, 543, 7649, 781, 1761, 8066, 269, 1280, 1383, 267, 952, 519, 17837, 3180, 1614, 856, 540, 2185, 8956, 6486, 538, 513, 2016, 9290, 267, 25500, 15891, 13124, 1354, 22867, 547, 602, 9290, 563, 275, 269, 2878, 307, 5300, 1186, 5093, 6333, 2436, 959, 7927, 1522, 581, 25368, 538, 1978, 3871, 269, 1403, 707, 2427, 814, 3964, 25041, 1852, 267, 9001, 873, 949, 6961, 6225, 950, 5275, 7127, 547, 824, 17015, 563, 276, 269, 2878, 309, 592, 1676, 1464, 5093, 5901, 13438, 2157, 538, 2247, 1247, 1818, 3664, 282, 7863, 7925, 11731, 1419, 3340, 3606, 1416, 3379, 547, 1875, 8686, 592, 1676, 762, 3283, 780, 28274, 891, 2596, 2553, 20964, 513, 2178, 3490, 585, 3384, 811, 10427, 12485, 2663, 593, 269, 3776, 703, 516, 3671, 24413, 4044, 919, 23090, 10092, 267, 2141, 3222, 540, 741, 10450, 543, 4058, 741, 8905, 9935, 1107, 13974, 267, 9952, 8115, 5716, 2308, 13654, 1702, 547, 6330, 1950, 536, 27570, 1949, 543, 8945, 23824, 7653, 18390, 780, 1262, 24066, 15070, 11485, 11790, 281, 21344, 6970, 1081, 543, 19264, 819, 4373, 9617, 607, 18440, 513, 7823, 3322, 12570, 4220, 543, 5883, 2200, 267, 3811, 6679, 5012, 3747, 929, 644, 550, 6268, 540, 1761, 10898, 269, 6206, 2188, 12018, 1981, 4879, 1331, 1384, 272, 269, 2878, 9377, 1619, 5288, 269, 5510, 1619, 5093, 32341, 2436, 547, 1445, 593, 12145, 9271, 610, 13830, 15361, 30082, 269, 4347, 2400, 5012, 2832, 547, 6615, 3441, 1102, 21719, 676, 519, 15852, 11450, 267, 6466, 18086, 5012, 11441, 547, 2744, 5383, 2038, 538, 519, 1688, 563, 273, 269, 2878, 22209, 787, 5004, 5093, 2142, 13533, 540, 13366, 2139, 547, 3409, 7766, 15361, 2899, 519, 3355, 1291, 814, 1044, 5129, 269, 23496, 7850, 1303, 27509, 6087, 3608, 2585, 725, 543, 12366, 3278, 1448, 13250, 563, 274, 269, 2878, 31636, 5093, 22982, 6679, 5012, 607, 3255, 547, 6655, 1344, 15739, 564, 569, 547, 4891, 3823, 707, 1688, 4222, 543, 3337, 269, 23539, 2685, 6074, 6679, 5012, 666, 5705, 569, 5365, 15752, 1510, 3246, 7050, 3877, 547, 10779, 2456, 780, 3528, 5402, 13326, 13657, 543, 20440, 267, 5716, 7413, 11991, 4220, 1247, 3854, 1944, 593, 15028, 2175, 269, 1306, 938, 2951, 518, 10841, 1742, 2362, 909, 519, 7823, 267, 789, 9260, 1761, 2640, 1996, 2009, 19363, 267, 6038, 7446, 11507, 602, 2709, 5021, 8007, 609, 8766, 8594, 269, 6684, 267, 695, 4319, 323, 6679, 5012, 10880, 513, 10347, 11466, 1063, 27047, 842, 543, 26490, 4369, 267, 4180, 19311, 4093, 1247, 17420, 1996, 3768, 826, 4598, 780, 1262, 15675, 532, 8838, 2711, 11150, 281, 14146, 532, 11628, 570, 716, 923, 4373, 13420, 5792, 609, 13654, 2553, 543, 513, 16994, 2631, 540, 1981, 2359, 267, 5716, 666, 1631, 5490, 883, 4359, 12485, 2966, 547, 11126, 2773, 269, 7324, 891, 15568, 4485, 616, 1384, 272, 269, 2608, 32459, 2118, 540, 16258, 27336, 2526, 17041, 26875, 1125, 8757, 5551, 1439, 2452, 7158, 3533, 267, 10893, 3255, 585, 15712, 547, 7519, 4566, 679, 8905, 563, 273, 269, 2608, 16920, 3363, 6178, 1023, 17041, 4004, 6510, 1808, 6835, 827, 3259, 543, 10182, 3842, 11029, 7648, 538, 3556, 13307, 543, 12557, 269, 1452, 6786, 5512, 4891, 547, 11282, 3527, 16900, 543, 4431, 14013, 547, 4657, 6381, 563, 274, 269, 2608, 305, 27654, 8048, 338, 17041, 9024, 5573, 1404, 609, 2539, 8573, 21403, 6486, 3079, 540, 2757, 1164, 3562, 268, 869, 9696, 269, 681, 27654, 5012, 25657, 17837, 267, 29572, 2792, 3646, 267, 543, 1711, 23761, 585, 6397, 12374, 563, 275, 269, 2608, 293, 1465, 525, 543, 7736, 680, 904, 17041, 28294, 3634, 17551, 3464, 262, 3946, 998, 15931, 4249, 5473, 2789, 21448, 540, 959, 18804, 610, 1167, 8973, 269, 7743, 11056, 540, 535, 1465, 525, 543, 1439, 680, 904, 2164, 538, 1713, 18176, 5383, 780, 4322, 4359, 2994, 7668, 5716, 547, 28958, 1852, 540, 2565, 8090, 267, 13321, 9583, 21030, 6681, 6679, 5012, 883, 3532, 9604, 5827, 540, 24905, 1782, 1256, 519, 1034, 14388, 23640, 269, 6145, 21986, 532, 30217, 748, 14099, 11461, 1152, 676, 20932, 543, 5578, 267, 13215, 971, 12485, 7569, 9058, 15334, 543, 6791, 780, 1262, 3849, 2194, 532, 547, 1744, 14823, 8562, 636, 560, 1734, 281, 19484, 1133, 335, 9438, 1464, 4373, 7661, 267, 1100, 4901, 540, 6679, 5012, 1131, 581, 2347, 1510, 5466, 13916, 1107, 519, 2702, 547, 4188, 6385, 538, 3210, 547, 9687, 2175, 269, 10801, 741, 22116, 267, 938, 7045, 337, 13341, 16221, 26208, 281, 6727, 4365, 2242, 267, 4101, 13009, 9465, 267, 543, 6397, 15274, 269, 3962, 3510, 7125, 585, 16190, 973, 531, 12299, 267, 5373, 2390, 5892, 9715, 1702, 543, 15859, 633, 1966, 9010, 5759, 780, 20118, 267, 740, 30794, 8115, 5716, 2226, 8112, 538, 741, 1935, 267, 11179, 15260, 31757, 3681, 607, 1007, 1344, 19674, 269, 1635, 6220, 2609, 540, 10462, 883, 2259, 7886, 267, 5716, 24917, 30506, 543, 1451, 547, 8853, 8015, 14784, 269, 2368, 2409, 547, 3986, 13916, 1331, 1384, 265, 29892, 14542, 1949, 610, 14908, 454, 265, 2271, 1549, 958, 22801, 17837, 998, 632, 21082, 536, 1749, 543, 4249, 454, 265, 15331, 532, 609, 4244, 17872, 2994, 1996, 10728, 17837, 692, 27407, 267, 14237, 17545, 5849, 23982, 585, 8726, 2591, 8451, 1282, 6735, 267, 7175, 5716, 547, 4473, 1657, 14488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2049, 267, 2356, 950, 513, 4775, 2915, 538, 1609, 6350, 2269, 903, 543, 568, 544, 730, 676, 513, 3552, 5256, 18896, 269, 3509, 2829, 538, 519, 2475, 6615, 18896, 1673, 690, 29528, 607, 10130, 267, 1813, 547, 519, 20437, 29525, 540, 891, 666, 1749, 269, 898, 814, 1044, 6059, 602, 972, 616, 20733, 540, 476, 4968, 267, 1822, 18896, 1673, 690, 29528, 538, 519, 2475, 563, 763, 966, 21923, 18896, 268, 1506, 8455, 1449, 5161, 540, 476, 274, 268, 275, 2010, 540, 29508, 630, 24119, 2056, 593, 2436, 2831, 616, 4775, 610, 5256, 264, 543, 9382, 281, 962, 7302, 668, 25593, 688, 7120, 4286, 267, 2473, 7302, 668, 25593, 688, 7120, 4286, 2073, 18896, 10391, 5027, 12508, 543, 2551, 2079, 540, 5027, 12508, 269, 12989, 568, 513, 811, 2143, 6609, 912, 268, 631, 2297, 616, 7318, 609, 962, 7302, 668, 25593, 12508, 543, 2164, 3379, 547, 938, 6538, 540, 1634, 18896, 543, 2915, 688, 7120, 4885, 269, 11778, 616, 4080, 607, 13928, 267, 16423, 267, 769, 935, 5477, 630, 604, 1336, 538, 1312, 5243, 543, 20384, 264, 610, 3502, 5025, 653, 997, 762, 630, 604, 4775, 1916, 268, 631, 2297, 543, 8951, 616, 7318, 609, 2473, 7302, 668, 25593, 12508, 543, 2164, 3379, 547, 938, 6538, 540, 1634, 18896, 543, 2915, 688, 7120, 4885, 269, 11778, 616, 4080, 607, 13928, 267, 16423, 267, 28628, 630, 604, 4775, 1916, 268, 1284, 1449, 585, 476, 2420, 5027, 31031, 630, 26211, 512, 30802, 10956, 264, 12508, 602, 723, 14726, 1808, 547, 20384, 269, 11778, 616, 4080, 607, 10558, 630, 604, 18896, 14726, 616, 9571, 264, 610, 3502, 23618, 539, 630, 604, 1100, 18896, 14583, 568, 4767, 1916, 763, 2915, 2914, 6504, 10316, 1449, 568, 3532, 2614, 547, 3713, 29528, 1369, 476, 274, 5481, 269, 5221, 540, 519, 2673, 4719, 2078, 1851, 5243, 543, 20384, 267, 18896, 22693, 3564, 476, 274, 5481, 949, 581, 32373, 762, 676, 891, 4255, 563, 310, 11510, 616, 4712, 547, 19898, 693, 827, 1079, 1296, 540, 2085, 269, 1717, 267, 602, 3085, 1406, 1611, 789, 616, 2469, 547, 269, 898, 666, 581, 909, 835, 1032, 1310, 789, 616, 2965, 2111, 547, 798, 865, 269, 3371, 568, 519, 2601, 1946, 602, 4386, 563, 2691, 621, 2501, 547, 519, 4890, 20282, 267, 1152, 519, 1291, 5256, 543, 4775, 786, 2965, 798, 865, 269, 901, 568, 1946, 621, 568, 1419, 2182, 547, 1205, 519, 1297, 540, 20384, 547, 2333, 269, 2755, 513, 3640, 949, 723, 909, 547, 8938, 2818, 538, 621, 267, 1152, 1079, 540, 873, 616, 2965, 2921, 851, 538, 519, 20282, 1184, 563, 2467, 616, 2090, 856, 972, 1498, 602, 1397, 824, 2818, 540, 1804, 3640, 20282, 607, 1134, 269, 898, 1223, 581, 602, 621, 568, 2636, 950, 972, 568, 2614, 1426, 543, 519, 3640, 568, 14762, 269, 634, 3169, 2175, 602, 723, 547, 581, 538, 1747, 585, 602, 547, 581, 11807, 1498, 3884, 1406, 4628, 6956, 2943, 563, 10932, 849, 2982, 602, 950, 972, 3884, 1406, 2614, 1426, 610, 887, 5446, 1858, 585, 513, 18896, 3640, 602, 519, 13672, 5256, 543, 519, 12498, 4775, 949, 711, 1256, 19898, 693, 782, 269, 901, 568, 547, 2327, 602, 1346, 538, 741, 3640, 1810, 1406, 723, 811, 547, 1416, 585, 610, 811, 547, 2671, 1426, 609, 269, 1306, 513, 1267, 540, 713, 1498, 621, 666, 581, 1360, 2182, 547, 1205, 2338, 540, 2249, 538, 8594, 540, 14486, 547, 2333, 563, 763, 942, 540, 1032, 950, 9960, 4386, 5673, 593, 519, 3148, 1141, 891, 2831, 2661, 269, 898, 666, 581, 1022, 942, 689, 5130, 998, 4728, 269, 634, 18896, 2306, 2899, 513, 1032, 3079, 540, 7466, 269, 634, 8951, 786, 4163, 519, 4996, 1186, 585, 827, 1079, 3275, 1354, 4758, 4332, 269, 13575, 1352, 786, 723, 689, 2185, 547, 3670, 4996, 1186, 829, 16445, 269, 1717, 267, 930, 723, 1044, 7074, 547, 723, 909, 547, 27552, 540, 873, 693, 513, 942, 2336, 9515, 786, 2285, 4332, 547, 519, 4996, 1186, 4805, 538, 1200, 3954, 269, 1358, 616, 1360, 1507, 543, 7925, 693, 4332, 269, 2701, 786, 3049, 873, 5144, 689, 1200, 1560, 585, 519, 1101, 3923, 540, 1272, 269, 898, 786, 581, 1310, 519, 1101, 3923, 540, 1272, 950, 789, 10836, 689, 519, 3954, 609, 1200, 563, 310, 11510, 3100, 547, 798, 1360, 1134, 950, 621, 2501, 547, 10063, 1424, 538, 24811, 269, 3509, 3292, 856, 972, 616, 4543, 547, 2497, 713, 676, 5329, 835, 5256, 543, 835, 4775, 1927, 3079, 540, 513, 3640, 540, 20384, 269, 3414, 971, 3292, 32543, 3174, 540, 20384, 883, 519, 3552, 814, 1044, 513, 1967, 609, 1082, 1114, 14981, 563, 2005, 568, 519, 5539, 540, 782, 519, 20384, 538, 519, 3640, 547, 948, 547, 6318, 519, 15556, 269, 1358, 786, 1491, 7140, 12391, 585, 873, 1247, 824, 2818, 979, 856, 547, 6968, 269, 10435, 2386, 519, 1762, 1205, 7899, 547, 3548, 568, 1271, 952, 789, 616, 2469, 547, 581, 2111, 547, 8853, 563, 10214, 609, 519, 3003, 3640, 12391, 585, 873, 267, 1447, 982, 3368, 540, 782, 4996, 1186, 7639, 519, 1101, 1032, 269, 1403, 519, 3993, 1185, 4057, 6484, 1282, 519, 6379, 789, 666, 581, 1360, 1507, 693, 4332, 269, 589, 3668, 540, 1426, 585, 519, 3003, 3640, 547, 7639, 593, 666, 1611, 711, 2614, 568, 2139, 585, 519, 4996, 1186, 563, 763, 4996, 1186, 538, 513, 18896, 3640, 723, 513, 1390, 4308, 540, 5191, 543, 22864, 269, 769, 1249, 267, 789, 616, 1419, 2111, 547, 798, 811, 543, 547, 4324, 811, 982, 930, 540, 519, 4079, 1369, 519, 3640, 602, 723, 513, 1360, 1970, 20823, 563, 2691, 789, 616, 827, 1079, 1296, 2025, 789, 616, 9921, 267, 543, 1287, 789, 723, 835, 540, 1079, 1919, 2049, 269, 1358, 949, 3251, 1369, 741, 1378, 3640, 543, 581, 2016, 513, 1747, 593, 519, 1514, 21117, 269, 1358, 666, 849, 4734, 602, 3640, 543, 979, 547, 1106, 835, 540, 741, 1378, 269, 631, 2297, 1419, 4734, 1247, 8951, 3442, 547, 3251, 538, 519, 3640, 789, 941, 4535, 883, 563, 19400, 519, 3381, 281, 3852, 356, 394, 495, 394, 505, 394, 503, 394, 504, 394, 503, 6874, 288, 3852, 353, 394, 352, 394, 509, 394, 506, 394, 510, 394, 495, 394, 507, 394, 509, 394, 352, 394, 504, 394, 354, 394, 505, 394, 495, 3852, 353, 394, 501, 394, 352, 3852, 496, 394, 499, 394, 350, 394, 505, 394, 503, 394, 497, 394, 504, 394, 495, 268, 1960, 275, 630, 20809, 476, 1708, 273, 1040, 0, 303, 29176, 1686, 568, 606, 4871, 2272, 543, 1445, 540, 2797, 9283, 1991, 547, 1631, 543, 538, 519, 2062, 5408, 762, 2104, 269, 898, 7569, 1353, 3823, 3084, 3782, 538, 519, 1857, 267, 21621, 543, 18487, 9424, 267, 543, 540, 1346, 602, 723, 606, 1198, 593, 891, 2797, 3252, 269, 898, 568, 1644, 547, 824, 22825, 540, 1686, 267, 899, 1930, 1857, 1686, 543, 13338, 3140, 2250, 563, 294, 21194, 6561, 666, 849, 581, 519, 1686, 540, 891, 2324, 538, 519, 2797, 1505, 269, 901, 1797, 519, 2797, 5515, 593, 741, 1378, 1107, 519, 4395, 14725, 2996, 267, 741, 5234, 338, 543, 9439, 267, 1927, 609, 519, 6142, 3609, 15888, 945, 1118, 3664, 585, 519, 1453, 269, 901, 2882, 519, 721, 2229, 3294, 267, 519, 1297, 835, 14012, 267, 13686, 2059, 609, 1268, 13222, 267, 538, 1840, 547, 519, 11221, 1065, 338, 1369, 519, 23328, 267, 1612, 2993, 14613, 267, 543, 5065, 2199, 8128, 269, 634, 8360, 3294, 267, 22257, 267, 4016, 1394, 547, 519, 2990, 540, 1004, 3330, 2797, 1184, 563, 13233, 3782, 568, 513, 2257, 602, 949, 581, 16111, 2679, 543, 5355, 269, 1703, 616, 1082, 12204, 543, 2010, 269, 634, 19463, 786, 581, 519, 14618, 267, 2229, 267, 2199, 1028, 1005, 543, 954, 11666, 1581, 4182, 17253, 6214, 269, 11572, 1949, 11385, 622, 3622, 689, 1747, 547, 513, 1114, 269, 5272, 2582, 2244, 11438, 513, 10058, 10177, 1885, 543, 1686, 267, 1876, 995, 5943, 267, 543, 2797, 1062, 563, 303, 11823, 3906, 2039, 1063, 1747, 547, 1747, 269, 32087, 538, 713, 616, 8449, 979, 26404, 543, 519, 24284, 540, 18513, 2146, 269, 769, 4025, 519, 5544, 602, 519, 979, 26404, 568, 538, 5279, 540, 519, 12205, 267, 972, 6818, 513, 7928, 11984, 1857, 543, 4357, 5238, 269, 634, 17284, 538, 1063, 1857, 543, 4357, 568, 7363, 1851, 1857, 543, 4357, 2866, 267, 610, 4357, 543, 1875, 17376, 10675, 2564, 1416, 563, 294, 21194, 3906, 267, 899, 3549, 267, 723, 11338, 19775, 25015, 547, 2344, 2985, 7584, 269, 1452, 3906, 786, 1419, 581, 15044, 7258, 7463, 32060, 269, 1358, 2119, 547, 13599, 3025, 827, 1114, 716, 8481, 543, 2042, 267, 543, 2994, 269, 15348, 4213, 849, 21200, 593, 15773, 540, 741, 1360, 1378, 27498, 1369, 519, 23328, 267, 3842, 2797, 6105, 267, 543, 2429, 519, 8783, 2754, 269, 6884, 267, 891, 3906, 547, 535, 1195, 518, 3823, 741, 1378, 2123, 4759, 1247, 538, 519, 10324, 1870, 5604, 267, 849, 267, 4352, 1419, 789, 2119, 547, 13675, 10689, 519, 22257, 22639, 585, 519, 23328, 538, 1931, 547, 2333, 3652, 563, 303, 11823, 1205, 2389, 690, 564, 1667, 1689, 689, 22257, 3549, 269, 589, 2797, 5428, 568, 17216, 606, 1870, 602, 18129, 547, 9585, 1808, 6663, 676, 18363, 519, 2229, 269, 634, 9072, 540, 1022, 2797, 11812, 568, 1419, 2189, 269, 769, 1034, 2665, 267, 891, 6663, 616, 2356, 811, 585, 519, 2489, 1857, 1719, 3379, 547, 1268, 1205, 1927, 27498, 269, 589, 1906, 2665, 267, 519, 3853, 616, 585, 519, 1292, 5413, 540, 606, 3003, 22257, 1870, 267, 547, 2327, 602, 621, 666, 7639, 543, 2661, 563, 7197, 540, 519, 2238, 540, 22257, 3252, 616, 7082, 269, 1358, 616, 6157, 711, 4625, 2489, 1857, 267, 855, 616, 1644, 547, 22257, 2713, 7132, 519, 22257, 1576, 540, 2962, 269, 1358, 1289, 585, 598, 1495, 337, 4548, 827, 1857, 7965, 267, 4259, 909, 10457, 267, 5859, 532, 585, 2797, 16548, 267, 5859, 532, 267, 8744, 909, 3854, 267, 543, 538, 519, 1909, 540, 2156, 24329, 593, 741, 1378, 18697, 563, 294, 21194, 4507, 568, 1419, 513, 2257, 540, 707, 2078, 1063, 10919, 640, 543, 824, 1004, 267, 2059, 609, 741, 6214, 5238, 269, 898, 6770, 1927, 1620, 540, 519, 2797, 1935, 267, 519, 1480, 7919, 6457, 267, 543, 1344, 827, 1857, 21169, 269, 15348, 3621, 9015, 535, 4926, 7744, 267, 2979, 543, 7194, 543, 1585, 8677, 540, 2601, 609, 9623, 593, 519, 3157, 540, 707, 1480, 1373, 2634, 269, 2817, 6214, 568, 513, 2629, 851, 540, 1353, 3823, 519, 2898, 1158, 269, 898, 8309, 7494, 7606, 5431, 1142, 824, 2059, 609, 741, 1305, 909, 519, 2797, 1576, 540, 2962, 563, 13750, 4507, 814, 6266, 540, 5686, 267, 799, 2882, 18513, 10617, 267, 2112, 331, 867, 1072, 1949, 267, 543, 3084, 19802, 5322, 267, 10838, 824, 1919, 269, 769, 782, 540, 891, 8320, 267, 835, 2319, 568, 7303, 835, 811, 547, 3035, 5279, 540, 741, 4182, 267, 3330, 540, 513, 4161, 602, 568, 1572, 2749, 6370, 269, 2782, 331, 867, 6608, 267, 899, 519, 3283, 689, 2637, 724, 529, 16679, 543, 7581, 332, 775, 879, 267, 616, 1895, 902, 609, 1004, 945, 1118, 606, 4674, 547, 4971, 610, 1491, 22257, 5122, 1379, 676, 5397, 269, 1358, 4782, 23998, 543, 1629, 328, 561, 990, 6737, 547, 10536, 741, 26088, 563, 301, 566, 779, 19802, 20517, 616, 6688, 540, 11570, 602, 991, 547, 3932, 513, 1880, 1259, 540, 24811, 3330, 513, 5697, 1858, 610, 4182, 269, 2052, 3717, 676, 9350, 267, 11180, 5267, 267, 865, 602, 789, 666, 1118, 741, 16578, 4857, 9170, 538, 519, 4541, 269, 519, 13964, 563, 303, 11823, 6561, 568, 14475, 676, 891, 2797, 3549, 543, 12205, 1175, 547, 3802, 6214, 3664, 6829, 676, 519, 17069, 864, 267, 5103, 519, 1249, 602, 891, 2516, 798, 711, 2141, 5431, 875, 741, 3853, 11129, 547, 581, 6603, 269, 1635, 8223, 891, 814, 606, 1198, 593, 267, 2367, 543, 2021, 786, 2087, 2870, 741, 1360, 1378, 22257, 7399, 267, 899, 5079, 540, 741, 22257, 4395, 28359, 269, 634, 723, 606, 1198, 593, 538, 1686, 3884, 1406, 1175, 593, 513, 1346, 945, 21078, 538, 519, 2244, 1373, 6594, 267, 855, 849, 593, 519, 1004, 945, 2661, 538, 621, 267, 538, 1840, 269, 1358, 1860, 875, 1004, 2221, 1589, 540, 3084, 3782, 7363, 543, 4010, 875, 3084, 3782, 814, 2360, 593, 741, 4948, 1272, 563, 1607, 2594, 949, 849, 1860, 2043, 2713, 538, 14758, 3486, 6753, 538, 971, 513, 1259, 602, 3914, 2250, 22257, 13542, 609, 824, 3344, 540, 1158, 269, 898, 1522, 723, 606, 1764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 676, 519, 1747, 540, 519, 4541, 609, 2463, 2097, 519, 3141, 630, 8527, 566, 543, 849, 8144, 1916, 763, 2268, 4559, 1031, 547, 2268, 909, 519, 2837, 616, 281, 2157, 17622, 610, 17622, 267, 2157, 22398, 9109, 543, 5232, 18278, 269, 1656, 849, 519, 2645, 602, 616, 6035, 538, 602, 4305, 616, 281, 519, 26282, 543, 519, 5687, 1748, 563, 763, 7516, 3144, 689, 519, 2837, 616, 7363, 28367, 1283, 1283, 513, 2916, 4786, 9001, 519, 568, 1278, 916, 563, 7775, 519, 4764, 267, 568, 519, 7583, 332, 1588, 540, 513, 14368, 1670, 5650, 609, 519, 15489, 540, 1216, 267, 538, 5277, 610, 31529, 1533, 267, 2097, 519, 18714, 2627, 563, 534, 1271, 851, 540, 519, 1216, 602, 8813, 538, 713, 1184, 4422, 547, 519, 4703, 540, 1216, 543, 519, 14230, 18493, 919, 563, 763, 7274, 540, 4764, 602, 12772, 538, 513, 2016, 4055, 5673, 267, 2097, 513, 1804, 6708, 267, 593, 519, 20173, 543, 4527, 519, 13999, 540, 1216, 269, 634, 6753, 2282, 519, 18714, 20337, 4055, 1346, 602, 267, 7363, 267, 2594, 3152, 2179, 602, 10511, 14591, 538, 513, 1032, 563, 763, 7274, 540, 1216, 519, 8813, 2429, 513, 1032, 538, 513, 1808, 8513, 3091, 4473, 2097, 1018, 568, 1134, 8153, 607, 519, 11811, 4994, 269, 6270, 606, 3349, 540, 9115, 568, 547, 2769, 538, 28935, 829, 4009, 11281, 563, 763, 4764, 15378, 568, 519, 606, 3937, 1031, 547, 2268, 909, 519, 11811, 3349, 540, 9115, 540, 513, 4087, 267, 543, 519, 726, 12320, 328, 10309, 568, 519, 3926, 1031, 2097, 3113, 519, 4994, 563, 7093, 27457, 14591, 723, 513, 8760, 281, 12768, 21063, 267, 7814, 4577, 267, 543, 849, 522, 5766, 1429, 545, 269, 901, 7121, 568, 607, 1267, 540, 519, 1505, 538, 1775, 1917, 707, 533, 30972, 519, 7372, 540, 2011, 602, 12090, 621, 267, 4682, 5111, 519, 5790, 563, 17141, 621, 568, 1472, 1216, 11517, 1699, 538, 519, 5790, 543, 849, 5673, 1283, 1283, 2837, 543, 13247, 563, 1103, 1034, 16374, 936, 972, 568, 930, 4110, 540, 11195, 267, 849, 538, 519, 28555, 16374, 269, 769, 1249, 267, 519, 2362, 519, 2837, 267, 519, 1454, 811, 5732, 6632, 519, 568, 563, 763, 2645, 1031, 585, 922, 6482, 543, 849, 10916, 616, 519, 1728, 326, 668, 2678, 543, 849, 519, 2618, 668, 2678, 269, 634, 2164, 540, 891, 7516, 616, 547, 2769, 538, 21159, 563, 1478, 972, 568, 513, 6240, 540, 3448, 11195, 602, 4016, 547, 519, 2603, 540, 11195, 538, 6935, 547, 519, 7274, 540, 2011, 6675, 267, 543, 849, 607, 621, 12346, 593, 2837, 630, 514, 14287, 14354, 1070, 11385, 919, 610, 2242, 936, 519, 1576, 540, 513, 1554, 563, 275, 268, 27321, 2046, 454, 1607, 3693, 14687, 547, 519, 4452, 540, 519, 1604, 593, 513, 3177, 2627, 269, 634, 2418, 267, 799, 616, 6829, 538, 1984, 756, 1513, 267, 1293, 593, 519, 15820, 563, 763, 2362, 519, 8513, 267, 519, 1447, 11626, 2604, 621, 1590, 723, 269, 9747, 621, 568, 2362, 693, 4262, 1377, 982, 693, 519, 8445, 540, 519, 10239, 563, 763, 1611, 11626, 7903, 693, 4262, 1377, 568, 10199, 476, 272, 267, 25320, 269, 1839, 1984, 756, 1513, 563, 763, 865, 10777, 2604, 12125, 519, 513, 3046, 1748, 4055, 519, 1797, 547, 3113, 1227, 1796, 585, 519, 1079, 2010, 540, 11626, 2604, 602, 2291, 281, 1164, 543, 1970, 563, 1607, 20296, 25246, 568, 6027, 642, 519, 3046, 10309, 543, 849, 568, 547, 2769, 538, 533, 26696, 630, 25508, 1916, 553, 4166, 607, 3448, 11195, 4679, 543, 1216, 6675, 12622, 547, 7452, 610, 11849, 5536, 267, 12269, 616, 4646, 267, 1775, 1917, 707, 533, 30972, 616, 6896, 1164, 1813, 547, 519, 1249, 602, 540, 519, 2370, 543, 13581, 2450, 540, 519, 1216, 5536, 563, 5141, 10796, 616, 23053, 540, 519, 4527, 540, 18651, 1206, 630, 18314, 7996, 13999, 540, 1114, 2837, 1070, 11195, 543, 11811, 7399, 267, 1851, 824, 14368, 1670, 9259, 563, 5141, 10796, 1522, 1847, 538, 513, 4287, 824, 982, 2842, 543, 949, 621, 568, 538, 519, 840, 331, 8775, 547, 13247, 563, 4263, 4380, 8879, 2604, 543, 11195, 1764, 519, 3337, 267, 2450, 267, 543, 1826, 540, 6531, 602, 3029, 269, 13018, 602, 1462, 1108, 610, 8760, 729, 6069, 676, 19279, 20999, 267, 11504, 547, 519, 1826, 543, 519, 2623, 540, 891, 31529, 13999, 281, 26211, 12269, 281, 5899, 9850, 267, 562, 12494, 739, 7806, 639, 267, 14404, 665, 636, 15252, 267, 15921, 15252, 267, 26009, 15921, 15252, 543, 849, 15921, 592, 517, 12494, 639, 1611, 12269, 281, 16816, 739, 7806, 639, 267, 5621, 665, 636, 15252, 267, 5621, 665, 636, 15252, 21378, 7781, 529, 269, 4400, 12269, 281, 19449, 6350, 267, 4963, 10635, 636, 15252, 543, 4963, 549, 1598, 9850, 563, 2492, 3717, 519, 2842, 568, 547, 3717, 540, 7996, 538, 8880, 2534, 12090, 676, 519, 21441, 540, 11626, 2604, 563, 2467, 4055, 1114, 8677, 540, 2842, 281, 23945, 564, 2456, 281, 4123, 12798, 267, 7532, 8701, 267, 12703, 7178, 267, 543, 849, 7013, 12798, 269, 25550, 281, 607, 1014, 1395, 810, 976, 267, 4262, 30089, 543, 849, 7814, 4577, 12798, 269, 10871, 281, 4470, 2390, 519, 3148, 563, 527, 568, 2268, 538, 5998, 1315, 554, 267, 585, 799, 606, 606, 655, 10309, 568, 1031, 563, 20360, 568, 3238, 538, 519, 5786, 540, 11195, 267, 519, 1646, 540, 15420, 543, 519, 21381, 519, 1216, 563, 3724, 10707, 5111, 519, 1004, 596, 666, 1265, 9118, 2249, 540, 8916, 998, 741, 1880, 2916, 267, 596, 1223, 19665, 519, 2916, 1318, 883, 1614, 1804, 6688, 281, 342, 1301, 2433, 519, 568, 513, 2186, 540, 2916, 538, 1775, 544, 20994, 519, 5210, 4055, 2356, 1164, 547, 3489, 519, 3859, 5982, 540, 3586, 1106, 269, 898, 4016, 547, 2127, 2673, 547, 18714, 28130, 269, 7843, 335, 1229, 2433, 898, 814, 2965, 9793, 5210, 2094, 621, 12687, 909, 538, 6753, 540, 606, 1611, 20173, 269, 21069, 2433, 607, 922, 21519, 10522, 267, 519, 568, 2356, 2016, 538, 8701, 10580, 609, 5210, 7396, 2630, 476, 1015, 11019, 595, 267, 2429, 519, 15911, 1974, 563, 4913, 267, 1169, 540, 891, 6688, 666, 581, 7745, 1524, 883, 1454, 811, 1808, 1016, 2275, 20975, 267, 12077, 281, 323, 787, 2433, 4386, 538, 2127, 609, 5812, 22856, 543, 5210, 689, 5420, 547, 1164, 269, 13689, 2390, 519, 2603, 540, 11811, 17330, 547, 581, 1016, 323, 22866, 1318, 883, 9341, 18519, 543, 849, 9341, 3819, 269, 3819, 2433, 589, 1106, 540, 2916, 998, 4986, 610, 18374, 4986, 602, 13247, 602, 666, 581, 281, 25545, 610, 10859, 268, 541, 573, 269, 1647, 2433, 901, 1826, 540, 2916, 568, 9286, 538, 281, 11335, 267, 31210, 18519, 543, 849, 7286, 602, 519, 7178, 5032, 269, 18626, 2433, 2671, 538, 11782, 18519, 543, 849, 1016, 541, 8157, 269, 21069, 2433, 538, 9625, 713, 1106, 540, 2916, 596, 666, 1265, 1776, 8760, 281, 512, 1495, 571, 543, 849, 4672, 6656, 269, 4400, 1633, 8693, 1547, 8100, 589, 889, 1248, 2852, 630, 338, 1315, 535, 1040, 16661, 2609, 269, 31962, 689, 281, 513, 889, 1248, 12975, 269, 5113, 543, 8693, 1689, 4516, 630, 1001, 276, 1040, 16661, 2609, 269, 31962, 689, 281, 8940, 3052, 322, 28022, 269, 2983, 14535, 322, 545, 641, 611, 807, 630, 338, 1315, 535, 1040, 11120, 1115, 540, 519, 2916, 269, 31962, 689, 281, 2520, 14535, 322, 545, 331, 31638, 2593, 269, 20182, 19395, 269, 634, 14136, 3618, 10022, 269, 3798, 269, 28981, 4604, 11066, 269, 630, 20694, 663, 6319, 267, 9098, 281, 5384, 21509, 7734, 267, 476, 2735, 274, 264, 623, 269, 476, 4817, 268, 9834, 269, 2686, 19608, 540, 519, 14465, 1723, 632, 3288, 3115, 14243, 321, 997, 320, 630, 1001, 276, 1040, 8693, 281, 2609, 543, 2188, 538, 13198, 6403, 338, 3331, 350, 978, 601, 1488, 24546, 257, 338, 2228, 5399, 563, 8450, 811, 281, 1215, 1677, 15681, 1403, 589, 595, 1442, 520, 1408, 1772, 589, 22503, 2107, 21058, 595, 1442, 520, 1408, 338, 286, 1772, 3733, 595, 1442, 520, 1408, 22503, 2107, 21058, 454, 13434, 718, 689, 281, 7333, 10517, 322, 8590, 3820, 269, 0, 14071, 2461, 2713, 538, 519, 19848, 18152, 17373, 10656, 2916, 10196, 6754, 9197, 583, 7999, 22579, 519, 2165, 2048, 2304, 6605, 18152, 685, 547, 4766, 1018, 646, 9833, 607, 513, 1007, 22184, 267, 6353, 676, 1480, 19260, 547, 6211, 267, 3114, 543, 17027, 3157, 593, 3047, 269, 7913, 23408, 7548, 6276, 10557, 6645, 721, 968, 763, 19848, 18152, 814, 1279, 1044, 5941, 538, 2474, 540, 2182, 2257, 269, 8616, 267, 952, 621, 568, 606, 2085, 3361, 543, 2813, 676, 3425, 267, 1287, 519, 19848, 18152, 1590, 849, 581, 8947, 689, 782, 1480, 5380, 1848, 769, 2870, 513, 6965, 7828, 998, 799, 547, 1445, 267, 649, 2832, 547, 798, 1175, 602, 538, 713, 3390, 563, 5719, 321, 919, 827, 519, 19848, 18152, 616, 5571, 269, 6496, 621, 2253, 609, 14486, 267, 519, 29143, 1709, 540, 3595, 267, 519, 12289, 540, 519, 17113, 676, 17417, 267, 2916, 1689, 610, 16851, 286, 634, 19848, 18152, 11554, 6828, 12034, 4571, 268, 736, 628, 2540, 6046, 4152, 607, 519, 10465, 7298, 538, 2104, 4224, 31324, 1107, 855, 1018, 1281, 602, 26777, 286, 2983, 6048, 543, 3047, 6050, 9375, 18536, 4856, 321, 9116, 5267, 267, 968, 2005, 4667, 547, 581, 4922, 7608, 602, 519, 5920, 540, 8103, 786, 581, 6825, 538, 930, 1259, 1848, 31888, 267, 649, 1589, 267, 666, 8774, 1769, 593, 1018, 519, 2182, 2257, 3085, 1406, 2995, 721, 267, 543, 2721, 909, 1007, 1702, 689, 2048, 1372, 788, 942, 19028, 5278, 540, 519, 20827, 9954, 543, 2934, 8057, 856, 540, 19771, 602, 5949, 2228, 1282, 513, 2518, 6855, 267, 607, 519, 5177, 4682, 883, 1776, 27579, 269, 634, 19848, 18152, 543, 17813, 10554, 538, 5988, 476, 1708, 272, 693, 519, 2160, 540, 6239, 19903, 1662, 790, 5795, 4473, 547, 606, 27283, 4901, 609, 3223, 328, 16019, 269, 16019, 8711, 875, 713, 17027, 2165, 15109, 513, 4630, 4094, 2213, 1480, 1995, 676, 6031, 602, 1004, 540, 7990, 968, 17647, 1044, 2713, 538, 519, 19848, 18152, 585, 7366, 540, 1296, 3034, 18197, 2066, 10459, 543, 942, 10851, 676, 741, 6612, 585, 2825, 2152, 267, 5216, 15023, 1558, 909, 609, 5216, 2520, 5505, 543, 2825, 3173, 585, 513, 5691, 5698, 2680, 547, 8141, 2093, 543, 2030, 5452, 585, 1007, 9954, 269, 7313, 1115, 715, 333, 9404, 334, 5178, 8124, 267, 667, 2044, 333, 1234, 525, 11219, 2158, 267, 31929, 1744, 17369, 267, 2098, 320, 256, 541, 31311, 658, 267, 27239, 5062, 10111, 20321, 26741, 325, 267, 3967, 8291, 15718, 25764, 267, 1772, 8475, 717, 4150, 2096, 648, 543, 14811, 8124, 26652, 1558, 909, 609, 2825, 8030, 19598, 11986, 9149, 12505, 720, 543, 22189, 918, 4883, 792, 267, 2825, 23408, 16159, 15443, 823, 590, 2255, 6202, 267, 2520, 558, 2222, 6798, 6048, 20182, 18703, 267, 543, 2520, 5505, 18536, 4856, 321, 9116, 267, 3627, 12157, 1633, 543, 26573, 670, 1046, 518, 269, 1284, 941, 4278, 2683, 676, 519, 4093, 269, 7313, 1115, 14952, 1194, 693, 8093, 10070, 267, 543, 2520, 5505, 5206, 2048, 613, 641, 334, 2114, 685, 609, 14404, 15572, 545, 6106, 630, 16341, 540, 891, 2408, 593, 7395, 2742, 779, 3896, 1916, 27001, 891, 6227, 4104, 11642, 30270, 267, 3282, 29908, 543, 647, 256, 665, 919, 267, 12798, 12826, 267, 8933, 3819, 909, 543, 1453, 530, 24513, 548, 547, 519, 4764, 26378, 593, 13058, 22908, 269, 1772, 8475, 717, 4150, 2096, 648, 22378, 985, 519, 3529, 1922, 5766, 543, 24796, 14332, 749, 10741, 519, 7450, 547, 519, 5682, 2494, 269, 667, 2044, 333, 1234, 525, 11219, 2158, 685, 20807, 5944, 4190, 6679, 6648, 634, 595, 675, 19267, 513, 1158, 1141, 968, 1492, 2011, 729, 8900, 540, 3662, 4992, 9731, 20458, 5126, 5526, 607, 513, 8781, 3390, 269, 1234, 525, 11219, 2158, 859, 10280, 875, 713, 786, 5734, 519, 1762, 23698, 267, 1247, 938, 27837, 10564, 267, 20900, 595, 1328, 2798, 856, 968, 4322, 5222, 616, 5433, 25409, 2066, 1346, 15877, 2804, 1569, 543, 1369, 3109, 267, 6805, 267, 543, 2950, 540, 2681, 1848, 11048, 267, 646, 1202, 1235, 593, 519, 12808, 25872, 602, 25907, 721, 1142, 547, 2831, 543, 547, 1142, 824, 269, 808, 16331, 541, 269, 808, 16331, 541, 269, 808, 16331, 541, 269, 808, 16331, 541, 269, 808, 16331, 541, 563, 19530, 539, 609, 10448, 13504, 593, 13381, 1957, 267, 713, 3390, 6663, 547, 948, 721, 1589, 827, 1018, 4523, 547, 6299, 321, 880, 267, 538, 513, 942, 930, 723, 530, 787, 569, 17941, 519, 2048, 310, 4292, 18152, 685, 543, 2048, 5522 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4817, 31973, 9834, 324, 268, 9264, 567, 476, 273, 269, 32579, 6507, 275, 10844, 324, 268, 21916, 27663, 9690, 513, 912, 314, 314, 476, 476, 273, 269, 25148, 276, 2190, 2412, 324, 266, 1822, 567, 476, 274, 269, 23470, 23310, 3953, 324, 268, 30203, 476, 910, 276, 269, 16020, 4037, 277, 6321, 324, 268, 30203, 567, 476, 278, 269, 4200, 274, 1822, 1015, 324, 268, 30203, 2639, 314, 476, 476, 272, 269, 4649, 273, 28071, 6795, 324, 268, 5400, 275, 567, 476, 274, 269, 275, 4200, 279, 5379, 1839, 324, 268, 9826, 567, 476, 276, 269, 14321, 4817, 275, 5038, 324, 268, 30203, 476, 910, 272, 269, 278, 6924, 28510, 1839, 324, 268, 30203, 2639, 314, 476, 476, 272, 269, 5780, 278, 2004, 279, 7871, 324, 268, 13136, 567, 476, 275, 269, 5952, 273, 280, 5655, 10170, 324, 268, 15389, 567, 476, 272, 269, 276, 3953, 3607, 278, 3451, 324, 268, 16573, 567, 476, 272, 269, 25172, 276, 6434, 1015, 324, 268, 30203, 2639, 314, 476, 476, 271, 269, 1822, 1822, 876, 324, 266, 1822, 567, 476, 272, 269, 279, 4817, 14917, 4792, 324, 268, 28760, 567, 476, 279, 269, 4037, 280, 4649, 279, 1015, 324, 268, 7277, 567, 476, 273, 269, 32579, 6507, 275, 10844, 324, 268, 21916, 316, 6540, 454, 3519, 591, 10885, 543, 6988, 540, 519, 30040, 268, 14607, 3596, 332, 382, 370, 692, 763, 19427, 540, 519, 30040, 268, 14607, 3596, 332, 568, 689, 4102, 27744, 547, 519, 10545, 780, 4263, 2547, 476, 273, 268, 274, 23200, 568, 2877, 585, 606, 14802, 7407, 780, 10376, 1900, 568, 835, 30040, 29969, 1436, 543, 835, 5119, 8386, 2173, 520, 3700, 1587, 269, 4399, 24837, 346, 302, 12917, 333, 317, 274, 7751, 6988, 780, 2005, 1797, 267, 4399, 24837, 346, 302, 12917, 333, 317, 275, 7751, 6988, 2496, 293, 6136, 267, 711, 780, 2171, 666, 849, 3432, 1575, 519, 30040, 268, 14607, 3596, 332, 676, 1210, 10593, 780, 288, 1906, 1913, 827, 519, 590, 13748, 382, 370, 692, 4517, 519, 2063, 267, 855, 711, 519, 2547, 267, 568, 519, 13737, 1871, 17883, 540, 14290, 780, 2330, 288, 815, 772, 1422, 306, 7950, 966, 317, 29688, 9681, 2171, 666, 12337, 3842, 552, 580, 29868, 1260, 6570, 540, 692, 2330, 288, 317, 265, 589, 815, 772, 317, 265, 1422, 306, 7950, 317, 273, 772, 267, 9681, 8117, 621, 568, 513, 3983, 2856, 630, 322, 8807, 269, 12896, 14290, 2020, 2171, 786, 1865, 2409, 585, 7384, 590, 13748, 2663, 630, 11004, 786, 513, 2027, 590, 13748, 11000, 6393, 23087, 540, 547, 17058, 11000, 382, 370, 692, 1892, 700, 308, 17883, 543, 21714, 17594, 454, 1892, 30040, 17883, 543, 12896, 4149, 577, 28704, 5690, 267, 5786, 547, 513, 12863, 1106, 676, 5600, 14516, 14759, 454, 1892, 5576, 584, 17883, 543, 30040, 268, 14607, 3596, 332, 692, 9202, 11000, 382, 370, 692, 1892, 3143, 4530, 454, 1892, 590, 13748, 281, 875, 547, 12337, 621, 267, 1018, 616, 519, 3156, 267, 7384, 1655, 7584, 268, 259, 337, 259, 19406, 454, 26524, 286, 382, 370, 454, 1103, 1109, 314, 5655, 14158, 5228, 7379, 3155, 6983, 648, 269, 5891, 1104, 14103, 454, 3698, 524, 1087, 14067, 344, 1782, 263, 2567, 0, 1692, 11276, 267, 5899, 9734, 2439, 2005, 5654, 899, 596, 2811, 1007, 1934, 269, 1403, 596, 1616, 547, 1205, 3238, 267, 4945, 835, 540, 891, 16181, 2439, 302, 6877, 692, 2750, 2075, 2478, 543, 10658, 26072, 476, 278, 910, 3848, 476, 272, 692, 539, 1243, 2904, 476, 277, 692, 9213, 519, 13186, 11930, 21145, 7869, 476, 1001, 279, 5956, 256, 7831, 3781, 6424, 1975, 643, 752, 267, 7585, 3213, 1815, 651, 267, 16092, 30647, 776, 267, 8751, 2274, 514, 3122, 543, 1866, 4951, 909, 693, 1250, 15678, 543, 649, 1185, 513, 1390, 10004, 269, 3767, 476, 2568, 1004, 616, 6947, 547, 519, 22205, 2232, 780, 3719, 519, 5751, 1590, 979, 593, 2439, 3528, 519, 1259, 267, 952, 596, 10093, 1405, 22434, 513, 1007, 5299, 540, 519, 1433, 538, 519, 2063, 3018, 610, 865, 267, 596, 1058, 267, 1317, 6424, 543, 6601, 526, 534, 8242, 621, 543, 519, 3635, 2338, 723, 4957, 1384, 297, 518, 787, 11205, 2131, 785, 11540, 513, 1187, 3635, 11341, 5580, 5036, 547, 7851, 1063, 840, 7451, 1384, 11693, 513, 27865, 821, 1599, 3230, 325, 281, 623, 1422, 1729, 1627, 2330, 1063, 840, 7451, 267, 621, 12134, 596, 547, 1353, 513, 1978, 27865, 821, 1599, 692, 2330, 325, 3867, 15857, 281, 1422, 24837, 346, 308, 12917, 304, 264, 1422, 1729, 1422, 24837, 346, 308, 12917, 303, 14638, 689, 519, 5580, 5036, 540, 3230, 304, 2330, 547, 519, 5580, 5036, 540, 3230, 303, 29634, 296, 6045, 5580, 5036, 1934, 1384, 663, 11644, 476, 8618, 13352, 23182, 883, 519, 2462, 4605, 602, 15623, 29961, 344, 543, 594, 5941, 972, 780, 2467, 616, 513, 7008, 540, 1007, 5751, 593, 10742, 543, 26082, 538, 519, 8242, 4528, 540, 519, 1433, 269, 1452, 616, 1434, 585, 14987, 1384, 4517, 1934, 616, 930, 13410, 593, 7755, 2002, 338, 269, 1306, 649, 4312, 2938, 267, 519, 840, 13548, 610, 11201, 3239, 692, 2330, 325, 17353, 770, 12917, 306, 264, 815, 1422, 346, 343, 1422, 514, 2473, 281, 535, 3287, 264, 1422, 514, 590, 315, 6525, 3947, 513, 27865, 821, 1599, 3230, 325, 17353, 770, 348, 281, 623, 263, 312, 264, 1422, 21375, 623, 11583, 14638, 602, 568, 519, 1318, 7755, 2002, 540, 3230, 325, 3709, 256, 348, 2433, 623, 11583, 264, 1422, 1729, 623, 263, 312, 14638, 780, 303, 340, 14794, 476, 736, 269, 6496, 3230, 325, 17353, 770, 348, 281, 623, 263, 312, 264, 1422, 21375, 623, 11583, 14638, 723, 513, 1318, 7755, 2002, 540, 922, 1378, 2496, 303, 340, 14794, 476, 2641, 269, 1403, 649, 2285, 6695, 13992, 346, 301, 6525, 543, 6695, 13992, 23334, 6525, 741, 8912, 1931, 902, 267, 1281, 519, 27865, 821, 1599, 3230, 328, 2433, 1422, 13992, 346, 301, 348, 1422, 1729, 1422, 13992, 23334, 6525, 723, 513, 2451, 7755, 2002, 286, 6496, 621, 723, 513, 1318, 7755, 2002, 286, 1403, 865, 267, 1018, 616, 789, 2496, 4692, 596, 1265, 606, 3608, 1259, 547, 2626, 13410, 899, 10658, 26072, 476, 736, 543, 476, 2641, 267, 1141, 596, 2811, 4280, 952, 930, 27865, 821, 1599, 814, 513, 2451, 610, 1318, 7755, 2002, 2496, 1892, 18169, 454, 272, 780, 2330, 325, 17353, 770, 348, 281, 623, 263, 312, 264, 1422, 21375, 623, 11583, 14638, 602, 568, 519, 1318, 7755, 2002, 540, 3230, 325, 18155, 770, 348, 2433, 623, 11583, 264, 1422, 1729, 623, 263, 312, 14638, 780, 2252, 594, 6415, 711, 19451, 267, 594, 1589, 602, 3230, 325, 17353, 770, 6525, 568, 519, 1318, 7755, 2002, 540, 3230, 325, 318, 256, 21974, 594, 1589, 713, 568, 519, 5832, 540, 7755, 17313, 602, 12211, 519, 1614, 3252, 13251, 676, 3230, 325, 2330, 1384, 2330, 325, 318, 256, 1422, 323, 1662, 341, 535, 17353, 770, 348, 1422, 323, 1662, 341, 535, 18155, 770, 20467, 9681, 4467, 618, 11905, 281, 285, 1422, 2330, 325, 17353, 770, 348, 281, 623, 263, 312, 264, 1422, 21375, 623, 11583, 9385, 2330, 602, 568, 519, 1318, 7755, 2002, 540, 1422, 2330, 325, 29192, 3189, 770, 348, 2433, 623, 11583, 264, 1422, 1729, 623, 263, 312, 264, 1422, 21974, 1403, 594, 6415, 711, 19451, 267, 594, 1589, 602, 1422, 2330, 325, 17353, 770, 4153, 2330, 568, 519, 1318, 7755, 2002, 540, 1422, 2330, 325, 318, 256, 315, 21974, 594, 1589, 713, 568, 519, 5832, 540, 7755, 17313, 602, 12211, 519, 1614, 3252, 13251, 676, 1422, 2330, 325, 315, 2330, 281, 3230, 325, 318, 256, 1422, 323, 1662, 341, 535, 17353, 770, 348, 1422, 323, 1662, 341, 535, 18155, 770, 20467, 16465, 1892, 18169, 454, 273, 780, 25405, 910, 596, 2811, 1318, 269, 594, 3513, 4368, 602, 12161, 780, 5278, 3602, 538, 938, 2019, 6058, 748, 5717, 649, 4718, 602, 519, 5832, 540, 7755, 17313, 3085, 1405, 8831, 2417, 538, 835, 4287, 8259, 3230, 325, 2330, 568, 16887, 8799, 269, 1284, 1058, 2731, 2638, 856, 519, 824, 4287, 1862, 855, 594, 917, 519, 5832, 540, 7755, 17313, 3085, 1405, 8831, 2417, 538, 2901, 4287, 8259, 3230, 325, 2330, 568, 2523, 8799, 269, 630, 2252, 3230, 325, 2330, 568, 513, 1979, 20287, 267, 621, 11498, 28222, 538, 1312, 8846, 24355, 4467, 618, 11905, 281, 25405, 910, 596, 2811, 1318, 269, 594, 3513, 4368, 602, 12161, 269, 2368, 3602, 538, 938, 2019, 6058, 748, 5717, 649, 4718, 602, 519, 5832, 540, 7755, 17313, 3085, 1405, 8831, 2417, 538, 835, 4287, 8259, 1422, 2330, 325, 315, 2330, 568, 16887, 8799, 269, 1284, 1058, 2731, 2638, 856, 519, 824, 4287, 1862, 855, 594, 917, 519, 5832, 540, 7755, 17313, 3085, 1405, 8831, 2417, 538, 9041, 32355, 318, 4287, 8259, 1422, 2330, 325, 315, 2330, 568, 2523, 8799, 269, 630, 2252, 1422, 2330, 325, 315, 2330, 568, 513, 1979, 20287, 267, 621, 11498, 28222, 538, 1312, 8846, 4700, 0, 258, 7600, 1172, 532, 14803, 3701, 692, 1012, 1215, 1677, 15681, 1879, 14803, 3701, 3657, 4406, 573, 610, 14675, 692, 5629, 596, 723, 3964, 602, 596, 723, 606, 4890, 4661, 267, 596, 1058, 4983, 621, 585, 14496, 269, 1703, 616, 1079, 2798, 593, 799, 606, 4661, 1522, 3111, 281, 922, 22402, 610, 922, 31921, 269, 5221, 540, 713, 267, 621, 568, 2556, 547, 10646, 1063, 4570, 7440, 543, 3280, 7440, 780, 2162, 4406, 573, 5288, 269, 14675, 14803, 3701, 692, 2252, 513, 20952, 633, 4661, 568, 4570, 267, 602, 1797, 519, 7744, 1184, 3297, 519, 31921, 568, 2953, 543, 972, 616, 1100, 2887, 9313, 269, 1403, 519, 22402, 540, 971, 606, 4661, 616, 3020, 267, 1287, 621, 568, 7543, 585, 519, 3932, 711, 547, 581, 3020, 269, 17957, 267, 952, 606, 4661, 568, 23380, 267, 1287, 519, 7744, 1184, 3297, 519, 31921, 568, 711, 2953, 780, 2252, 513, 20952, 633, 4661, 568, 3280, 267, 602, 1797, 602, 711, 1152, 616, 782, 519, 31921, 3020, 267, 855, 519, 22402, 616, 849, 3020, 269, 9747, 267, 519, 3932, 568, 8209, 3020, 269, 5565, 1806, 9414, 519, 3604, 1063, 513, 4570, 543, 513, 3280, 4661, 780, 272, 269, 2353, 5017, 616, 11864, 269, 630, 2181, 332, 1047, 994, 273, 269, 589, 3531, 2988, 639, 568, 513, 6177, 269, 630, 2181, 332, 1047, 994, 274, 269, 4475, 267, 519, 3531, 2988, 639, 568, 513, 25850, 269, 630, 935, 2424, 2020, 1607, 568, 513, 4570, 20952, 633, 4661, 267, 1256, 1498, 519, 22402, 616, 1312, 7301, 269, 1809, 1317, 1346, 22402, 616, 711, 3020, 267, 519, 4661, 568, 711, 3280, 269, 898, 568, 4277, 547, 4063, 602, 519, 3932, 568, 3020, 267, 799, 2982, 602, 606, 4661, 609, 7301, 22402, 666, 18562, 3132, 513, 3020, 3932, 780, 272, 269, 2353, 4054, 616, 2371, 269, 630, 2181, 332, 1047, 994, 273, 269, 634, 2699, 6229, 568, 513, 3529, 269, 630, 2181, 332, 1047, 994, 274, 269, 4475, 267, 519, 2699, 6229, 568, 513, 2030, 269, 630, 935, 2424, 2020, 1607, 568, 513, 4570, 20952, 633, 4661, 1317, 922, 1106, 568, 2953, 269, 898, 568, 849, 513, 3280, 4661, 1317, 519, 22402, 616, 3020, 269, 5221, 922, 1106, 568, 4570, 543, 922, 22402, 616, 3020, 267, 519, 3932, 568, 16798, 547, 581, 3020, 780, 2162, 28518, 1473, 10631, 633, 14803, 3701, 692, 5715, 10631, 633, 7440, 267, 593, 519, 824, 1688, 267, 616, 2808, 2178, 952, 519, 3932, 4440, 5205, 689, 519, 22402, 543, 4617, 952, 621, 5205, 1152, 1561, 321, 2406, 689, 519, 22402, 267, 5103, 1018, 568, 10645, 827, 621, 269, 1403, 519, 31602, 4661, 568, 711, 1152, 2178, 855, 849, 814, 782, 3020, 22402, 267, 1287, 621, 568, 1572, 524, 690, 550, 269, 31808, 31602, 7440, 616, 2141, 4608, 690, 550, 269, 3371, 568, 606, 1383, 1384, 1805, 13764, 998, 519, 18137, 568, 2356, 1187, 269, 634, 3141, 568, 856, 267, 519, 2837, 568, 3579, 267, 972, 568, 1100, 4764, 538, 519, 9472, 267, 519, 5810, 616, 538, 16036, 267, 543, 519, 5017, 616, 13465, 269, 4475, 267, 621, 1058, 581, 1187, 547, 1491, 513, 3802, 998, 519, 18137, 1631, 780, 10112, 11167, 596, 1416, 827, 1346, 22402, 267, 1287, 519, 4661, 568, 2178, 269, 32114, 602, 519, 22402, 616, 782, 3020, 267, 1287, 713, 568, 849, 513, 524, 690, 550, 4661, 269, 1403, 649, 4769, 1406, 1416, 827, 519, 2188, 5018, 630, 704, 4257, 596, 7985, 689, 11959, 543, 1810, 1406, 899, 621, 950, 519, 5810, 616, 538, 16036, 1070, 621, 1131, 581, 513, 4617, 4661, 269, 1403, 1022, 540, 519, 22402 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1964, 1652, 2394, 789, 1265, 741, 1964, 538, 26899, 563, 16829, 676, 934, 525, 4614, 12329, 593, 5437, 476, 278, 267, 476, 1001, 271, 693, 476, 275, 281, 3607, 7537, 630, 12585, 1948, 276, 994, 11947, 3427, 11819, 454, 763, 991, 585, 2648, 543, 2696, 568, 7168, 3376, 267, 594, 6415, 12922, 267, 865, 649, 2811, 782, 1175, 4758, 596, 930, 2093, 799, 949, 610, 949, 711, 581, 5078, 547, 707, 1808, 7084, 269, 4595, 596, 11540, 621, 538, 519, 3332, 3296, 267, 594, 6415, 27378, 596, 3513, 991, 547, 1489, 707, 2990, 998, 3332, 269, 1411, 5749, 1405, 2693, 547, 1265, 1082, 1568, 799, 786, 4481, 2232, 2696, 607, 519, 2626, 547, 812, 781, 5609, 6888, 267, 855, 972, 616, 7899, 540, 1568, 799, 786, 6542, 519, 991, 585, 2696, 538, 513, 1158, 2407, 540, 5609, 6888, 269, 594, 6415, 3206, 540, 589, 26626, 540, 5565, 20079, 267, 799, 8711, 1312, 519, 1244, 571, 6143, 540, 812, 998, 513, 3099, 540, 21359, 543, 519, 4605, 540, 2696, 781, 15093, 585, 938, 20778, 998, 519, 1915, 540, 17638, 14295, 517, 269, 12344, 713, 786, 960, 585, 596, 563, 16829, 676, 31225, 3271, 328, 593, 5437, 476, 278, 267, 476, 1001, 271, 693, 476, 272, 281, 4343, 6751, 630, 12585, 1948, 277, 994, 2005, 782, 5673, 593, 2436, 835, 11099, 538, 2696, 610, 711, 269, 594, 13948, 1810, 1405, 855, 972, 568, 513, 1390, 991, 547, 711, 2965, 2648, 835, 1776, 855, 547, 5660, 543, 1174, 1142, 824, 269, 14348, 1775, 1981, 1250, 1272, 585, 1250, 1920, 286, 2986, 1576, 269, 14348, 594, 1981, 1250, 1272, 585, 513, 24928, 286, 594, 723, 855, 711, 2693, 1022, 811, 563, 16829, 676, 3134, 3326, 1442, 593, 5437, 476, 280, 267, 476, 1001, 271, 693, 476, 1321, 281, 1839, 7537, 630, 12585, 1948, 278, 994, 18794, 547, 2626, 713, 2243, 454, 18794, 513, 2146, 540, 5215, 540, 6131, 3610, 543, 1053, 269, 0, 289, 21392, 4841, 9105, 2859, 5999, 563, 288, 4062, 540, 9781, 10036, 568, 18202, 883, 513, 12718, 543, 922, 4187, 681, 568, 6027, 2483, 272, 8382, 1923, 1039, 16523, 454, 4131, 4320, 540, 519, 524, 599, 581, 966, 12945, 1770, 267, 3259, 581, 3355, 581, 700, 543, 8953, 9764, 540, 3444, 3296, 581, 678, 269, 13295, 454, 319, 309, 284, 7032, 678, 317, 273, 700, 319, 630, 328, 994, 15290, 1850, 628, 540, 12718, 23060, 1775, 4318, 476, 273, 299, 2073, 26238, 4320, 2611, 1482, 865, 8953, 540, 9764, 3444, 3296, 786, 4389, 547, 2387, 337, 318, 272, 319, 630, 25669, 1040, 1924, 4320, 786, 581, 454, 319, 309, 284, 273, 2869, 317, 273, 318, 272, 299, 2387, 630, 4512, 994, 5804, 630, 328, 264, 543, 630, 4512, 264, 649, 723, 454, 2280, 2387, 305, 318, 272, 319, 581, 519, 4187, 950, 1850, 628, 476, 273, 299, 454, 319, 305, 318, 272, 284, 24838, 263, 273, 299, 19422, 2869, 317, 273, 318, 272, 23375, 2073, 721, 514, 630, 13839, 264, 2073, 933, 786, 1205, 454, 5804, 630, 643, 264, 543, 630, 341, 264, 2073, 933, 723, 454, 16829, 676, 533, 1090, 617, 335, 663, 5674, 593, 4728, 476, 2767, 267, 476, 1001, 274, 693, 476, 279, 281, 4510, 7537, 630, 12585, 1948, 272, 994, 16665, 5999, 8450, 782, 19314, 18794, 547, 2626, 713, 2243, 454, 18794, 513, 2146, 540, 5215, 540, 6131, 3610, 543, 1053, 269, 0, 23338, 11106, 10837, 630, 5746, 288, 264, 630, 293, 3985, 10837, 4515, 3796, 994, 303, 2752, 7728, 10758, 294, 3198, 22003, 9569, 281, 18763, 454, 12239, 5723, 299, 23360, 3633, 281, 5181, 476, 1240, 267, 476, 3707, 278, 454, 4932, 12195, 302, 312, 292, 2464, 281, 9603, 547, 519, 5728, 633, 2470, 540, 519, 31835, 781, 4238, 267, 5515, 593, 519, 1297, 540, 5520, 2324, 585, 519, 8116, 616, 711, 2139, 547, 519, 2489, 1857, 563, 4696, 11403, 8577, 281, 6115, 267, 9823, 476, 14225, 2568, 454, 15771, 24535, 281, 630, 3583, 274, 264, 476, 4366, 273, 268, 8099, 271, 454, 11902, 311, 281, 630, 3583, 274, 264, 476, 4366, 273, 268, 15876, 280, 454, 14888, 3918, 6311, 3036, 281, 6723, 808, 269, 14210, 564, 454, 13052, 4488, 308, 20937, 14192, 3918, 6311, 3036, 281, 6424, 654, 269, 5516, 344, 454, 20062, 2969, 4959, 594, 4811, 631, 3041, 31064, 888, 763, 6239, 11106, 10837, 630, 5746, 288, 264, 568, 519, 9030, 8116, 3743, 585, 11018, 1344, 543, 4987, 593, 6927, 540, 3084, 3354, 543, 4914, 12602, 269, 901, 4987, 568, 5497, 547, 5351, 519, 2359, 540, 16839, 267, 2932, 540, 2112, 267, 543, 19862, 540, 3609, 269, 634, 31835, 849, 24625, 919, 609, 824, 2229, 8041, 547, 4831, 519, 8942, 540, 824, 6082, 547, 5531, 4987, 593, 519, 2136, 2276, 267, 513, 1184, 1572, 4831, 842, 3485, 775, 269, 3958, 267, 621, 22851, 538, 834, 338, 2133, 2238, 267, 543, 824, 3252, 1644, 547, 4914, 4987, 543, 3084, 3354, 607, 9859, 676, 519, 5518, 4799, 295, 8582, 4959, 8668, 31031, 308, 6311, 7838, 3633, 888, 763, 31835, 568, 606, 4830, 8116, 1369, 519, 10324, 7936, 540, 2229, 269, 898, 568, 851, 540, 513, 3376, 2483, 263, 763, 3003, 3296, 568, 476, 28091, 278, 1913, 8094, 23763, 547, 3367, 2859, 888, 29771, 1631, 547, 1224, 519, 1964, 540, 713, 2376, 269, 9578, 1205, 2347, 1569, 547, 476, 1789, 267, 1822, 266, 1353, 10274, 256, 0, 3528, 22189, 700, 987, 600, 267, 12854, 630, 23192, 11540, 5147, 476, 4029, 560, 543, 4503, 1310, 513, 30250, 5308, 630, 19491, 3055, 264, 4323, 1916, 24868, 725, 538, 1367, 968, 14445, 1049, 26556, 892, 630, 24207, 569, 267, 2436, 1053, 2347, 1164, 1153, 610, 2852, 264, 3112, 581, 11911, 547, 15110, 4719, 3604, 269, 2334, 568, 519, 4466, 540, 513, 1007, 1353, 4080, 538, 3163, 12139, 630, 305, 2884, 557, 671, 1696, 620, 269, 476, 1001, 274, 1040, 4340, 547, 713, 1382, 267, 4628, 476, 7176, 260, 540, 782, 8390, 538, 3872, 26556, 568, 20039, 585, 676, 2188, 824, 982, 513, 1268, 779, 2241, 4719, 17539, 563, 1607, 10522, 602, 1034, 540, 2875, 1967, 568, 513, 12343, 540, 5732, 7369, 762, 1514, 610, 2825, 2188, 269, 901, 568, 606, 1271, 543, 5310, 9670, 8343, 267, 540, 1164, 1719, 547, 3237, 267, 3610, 267, 543, 14519, 7567, 282, 855, 621, 1705, 711, 1118, 519, 24657, 269, 0, 15430, 5034, 676, 519, 23683, 11833, 4414, 6229, 3848, 5240, 12072, 267, 634, 681, 3633, 310, 302, 7495, 17252, 3633, 299, 2464, 454, 3528, 25795, 12540, 559, 267, 14822, 3848, 11094, 18509, 13541, 454, 2691, 2038, 17701, 1101, 9411, 519, 918, 4594, 987, 19438, 267, 789, 4362, 1804, 12647, 267, 5195, 540, 15195, 23047, 1127, 267, 543, 5215, 543, 5215, 540, 14143, 540, 19126, 269, 20353, 7992, 1216, 325, 25717, 543, 24052, 32608, 4158, 2989, 519, 22839, 16841, 269, 20363, 543, 824, 7320, 941, 10731, 563, 7712, 519, 13163, 540, 1234, 17474, 3459, 2324, 538, 519, 19438, 5176, 513, 2540, 3516, 267, 936, 476, 4037, 260, 540, 19126, 723, 1044, 4904, 543, 1713, 7226, 10032, 269, 6736, 782, 602, 814, 1044, 4503, 267, 519, 918, 4594, 987, 19438, 3788, 519, 4102, 9703, 15195, 19126, 1062, 7178, 540, 519, 14967, 5211, 543, 666, 1869, 581, 1572, 519, 834, 30706, 6921, 3547, 540, 519, 4639, 257, 910, 606, 522, 12118, 538, 519, 22984, 540, 519, 1164, 9390, 563, 3383, 1454, 540, 519, 4901, 1472, 519, 19438, 891, 2250, 1906, 3275, 814, 5059, 593, 513, 3668, 540, 1216, 269, 17290, 1216, 2200, 538, 519, 918, 4594, 987, 19438, 616, 4986, 1007, 269, 634, 2817, 13812, 4676, 1872, 525, 538, 519, 19438, 910, 513, 2565, 16889, 543, 8023, 2666, 585, 27436, 5017, 543, 1216, 325, 25717, 910, 2611, 2063, 538, 1899, 585, 1216, 267, 543, 1032, 1310, 1032, 519, 1216, 7274, 543, 2298, 3177, 723, 1044, 2484, 689, 6190, 563, 288, 2540, 540, 936, 22190, 10187, 566, 540, 1216, 267, 9552, 540, 19126, 799, 4558, 1216, 267, 546, 2459, 532, 543, 1019, 6362, 540, 8933, 267, 543, 824, 7226, 2530, 723, 4547, 721, 547, 1141, 649, 616, 2221, 910, 538, 991, 540, 513, 1279, 3856, 3070, 269, 634, 23683, 11833, 781, 14822, 3848, 814, 5249, 585, 1082, 1296, 538, 519, 918, 4594, 987, 19438, 267, 2519, 593, 14874, 5010, 6683, 543, 6757, 23561, 946, 689, 519, 19438, 781, 2817, 13812, 4676, 1872, 525, 269, 26332, 3215, 5010, 6683, 689, 519, 1201, 1872, 525, 543, 19620, 891, 3338, 547, 11327, 267, 2635, 19126, 7226, 616, 1883, 3334, 547, 1022, 1279, 3856, 3070, 585, 519, 19438, 269, 634, 23683, 11833, 814, 11280, 519, 19438, 781, 1201, 1872, 525, 607, 835, 540, 476, 3451, 2027, 4025, 547, 581, 6870, 607, 851, 540, 938, 5859, 16033, 908, 519, 22833, 550, 27812, 16683, 540, 519, 3460, 540, 11066, 543, 18412, 269, 1677, 1451, 811, 267, 3346, 25795, 12540, 559, 693, 476, 2004, 274, 268, 22446, 268, 15094, 274, 610, 4757, 11333, 2593, 4586, 20062, 2969, 9358, 27114, 11298, 454, 25938, 2209, 22526, 13340, 518, 543, 667, 1014, 928, 3171, 14852, 786, 1404, 1883, 5107, 538, 13167, 513, 1279, 3856, 3070, 543, 789, 991, 547, 5873, 689, 596, 269, 2913, 873, 917, 602, 596, 1616, 547, 1294, 713, 9058, 5117, 17468, 269, 1284, 1590, 1020, 513, 1279, 3856, 3070, 602, 10742, 519, 2115, 540, 13155, 2249, 267, 7320, 267, 10068, 2950, 267, 11031, 267, 543, 6705, 563, 4131, 7354, 2209, 13340, 518, 543, 3171, 14852, 917, 602, 596, 1489, 513, 1279, 3856, 3070, 799, 2882, 9140, 856, 540, 6705, 945, 6999, 547, 6133, 741, 2244, 543, 3246, 873, 609, 5912, 11033, 267, 19620, 19126, 7226, 267, 543, 6051, 540, 13155, 2249, 269, 3503, 547, 873, 827, 707, 4145, 602, 1022, 1279, 3856, 3070, 585, 519, 918, 4594, 987, 19438, 1590, 2232, 912, 268, 26198, 540, 519, 19438, 781, 2817, 13812, 4676, 1872, 525, 454, 268, 634, 936, 22190, 10187, 566, 540, 3908, 1216, 2200, 454, 268, 18401, 540, 13155, 543, 12219, 2249, 454, 268, 8081, 585, 6705, 454, 268, 634, 16048, 1216, 2115, 540, 3165, 267, 10068, 2950, 267, 543, 11031, 454, 2791, 666, 2328, 547, 873, 693, 519, 1739, 281, 27737, 22526, 13340, 518, 267, 476, 12208, 19134, 14130, 8433, 8490, 267, 6115, 267, 9823, 267, 476, 13078, 1015, 610, 18078, 17106, 11333, 3820, 282, 543, 27737, 667, 1014, 928, 3171, 14852, 267, 476, 28664, 19134, 14130, 8433, 8490, 267, 6115, 267, 9823, 267, 476, 13078, 1015, 610, 4757, 11333, 2593, 269, 0, 2791, 616, 1934, 454, 19733, 6478, 4433, 264, 540, 519, 10432, 454, 296, 1810, 1406, 917, 1129, 1893, 610, 3717, 513, 4914, 1893, 610, 4376, 899, 602, 267, 855, 594, 917, 1018, 621, 7959, 899, 547, 581, 513, 6037, 1807, 269, 5221, 693, 2385, 4116, 19014, 267, 1250, 8250, 779, 3610, 23366, 8263, 602, 2094, 594, 6557, 606, 19829, 789, 666, 1577, 519, 16681, 1790, 1218, 3822, 8038, 269, 6904, 1568, 585, 803, 267, 594, 666, 1832, 909, 269, 10251, 267, 972, 779, 1776, 2385, 693, 519, 3349, 267, 543, 646, 3085, 1406, 3717, 4116, 268, 3150, 563, 2005, 2186, 540, 4422, 899, 713, 281, 634, 4116, 6645, 721, 1945, 267, 594, 2196, 621, 998, 519, 6882, 547, 3142, 621, 1524, 547, 19742, 1893, 267, 543, 2995, 1250, 608, 269, 1261, 1287, 2901, 17358, 610, 3085, 1406, 269, 1403, 646, 4991, 621, 543, 814, 1100, 2055, 267, 3579, 543, 519, 14228, 269, 1403, 646, 3085, 1406, 267, 621, 4991, 14845, 267, 1317, 3079, 540, 6998, 519, 4116, 267, 646, 2307, 525, 803, 267, 543, 1287, 594, 6557, 12758, 538, 513, 2370, 1747, 594, 899, 547, 1289, 8144, 1929, 2692, 563, 11039, 267, 621, 779, 2385, 4116, 10554, 942, 1586, 267, 543, 547, 8661, 594, 6557, 2469, 547, 798, 513, 2262, 540, 519, 3018, 1395, 5653, 593, 2596, 2542, 2474, 596, 4076, 4440, 4862, 689, 707, 1126, 781, 4116, 269, 18461, 1863, 547, 1820, 713, 856, 543, 3142, 621, 609, 596, 269, 594, 3580, 3649, 633, 10677, 4031, 538, 519, 2012, 540, 513, 1455, 1434, 563, 4942, 517, 655, 525, 616, 519, 10545, 2694, 540, 9275, 1893, 269, 1912, 517, 2438, 4656, 568, 519, 2702, 547, 5873, 267, 2697, 543, 13861, 891, 4992, 269, 1912, 9582, 568, 606, 1620, 540, 519, 2078, 1063, 519, 4992, 540, 9275, 1893, 543, 519, 2854, 1893, 269, 2859, 1344, 543, 519, 6093, 3356, 1308, 1646, 538, 1453, 666, 581, 1336, 1934, 563, 306, 697, 1913, 616, 1913, 513, 1126, 666, 1224, 1510, 3280, 532, 856, 269, 15394, 789, 2461, 5219, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 11885, 607, 5286, 692, 258, 12861, 17877, 1488, 7590, 454, 258, 3245, 513, 5124, 5903, 454, 258, 1284, 666, 1711, 606, 5044, 676, 2047, 14291, 513, 1592, 610, 1592, 540, 8638, 912, 3240, 8217, 815, 1496, 272, 267, 273, 267, 274, 2639, 2745, 30044, 8217, 2020, 2745, 18828, 15126, 30044, 8217, 11723, 2745, 28361, 333, 14826, 5073, 3240, 24624, 815, 20886, 272, 267, 273, 267, 274, 25662, 275, 267, 276, 267, 277, 25662, 278, 267, 279, 267, 280, 27663, 2745, 30044, 24624, 2020, 2745, 18828, 15126, 30044, 24624, 11723, 258, 29740, 2987, 10613, 454, 258, 1703, 616, 6266, 540, 3710, 2987, 2081, 547, 5352, 1488, 7590, 692, 2745, 28361, 333, 5073, 258, 818, 1052, 454, 258, 17776, 14961, 22274, 2418, 1369, 513, 2016, 8884, 692, 2745, 18828, 30784, 1052, 263, 1015, 4917, 2745, 18828, 30784, 1052, 263, 271, 267, 1556, 267, 273, 11723, 258, 24029, 543, 3283, 454, 258, 2637, 4733, 14249, 540, 21325, 610, 3283, 692, 2745, 3488, 541, 7590, 540, 21325, 610, 3283, 284, 3299, 12639, 25910, 263, 273, 4917, 2745, 18828, 25910, 9230, 276, 267, 276, 4297, 2020, 2745, 28361, 333, 14826, 5073, 2745, 18828, 269, 2158, 263, 274, 4917, 2745, 18828, 269, 2158, 9230, 274, 267, 274, 4297, 2020, 2745, 28361, 333, 14826, 17210, 258, 561, 1231, 10628, 454, 258, 17776, 14961, 22274, 2338, 936, 513, 9138, 8884, 780, 2745, 18828, 7456, 1231, 10628, 263, 271, 267, 1015, 267, 274, 4917, 2745, 28361, 333, 14826, 5073, 2745, 18828, 7456, 1231, 10628, 263, 271, 267, 1015, 267, 2004, 11723, 2745, 28361, 333, 14826, 5073, 258, 3750, 454, 258, 6282, 525, 606, 3961, 5119, 454, 2745, 18828, 4318, 6614, 263, 275, 264, 9239, 258, 15932, 454, 258, 715, 17056, 849, 814, 6266, 540, 2081, 547, 1711, 4351, 1297, 14249, 1384, 2745, 28361, 333, 14826, 5073, 258, 28219, 454, 258, 8073, 606, 5044, 540, 519, 2016, 3337, 543, 1402, 3634, 621, 609, 4351, 5439, 689, 513, 7833, 3892, 936, 1496, 271, 267, 476, 272, 6393, 2745, 18828, 20179, 20120, 263, 273, 11723, 2745, 18828, 20179, 20120, 263, 276, 267, 276, 11723, 258, 28219, 842, 454, 258, 17776, 4351, 9981, 689, 1970, 630, 514, 5477, 264, 547, 1164, 630, 1410, 5477, 1916, 2745, 18828, 20179, 27110, 263, 272, 267, 1911, 4917, 2745, 18828, 20179, 27110, 263, 272, 267, 1911, 267, 1015, 11723, 258, 26275, 5900, 1026, 2373, 543, 10613, 454, 258, 2913, 781, 1865, 930, 3730, 10305, 543, 2409, 610, 606, 5044, 1384, 2745, 28361, 333, 14826, 5073, 1551, 815, 5286, 30784, 1052, 263, 1839, 994, 3757, 1551, 815, 5286, 20179, 27110, 263, 271, 267, 2004, 267, 1015, 2020, 258, 1763, 327, 1901, 454, 258, 16849, 606, 5044, 5627, 519, 1482, 1239, 609, 513, 1007, 3337, 454, 2745, 19906, 269, 31412, 263, 276, 267, 276, 4917, 2745, 28361, 333, 14826, 17210, 258, 3193, 267, 2381, 267, 1173, 10946, 267, 1173, 2381, 454, 258, 1452, 616, 3730, 2409, 585, 4466, 3193, 610, 1295, 2418, 269, 2107, 547, 1265, 741, 4994, 6753, 1210, 2415, 2381, 610, 2415, 10946, 454, 2745, 263, 3757, 1551, 994, 2745, 263, 3757, 1551, 994, 2745, 263, 3757, 1551, 27769, 10946, 15405, 2745, 263, 3757, 1551, 27769, 2381, 15405, 2745, 263, 3757, 1551, 269, 2381, 15405, 2745, 263, 3757, 1551, 27982, 31156, 258, 23426, 454, 258, 23426, 568, 606, 14487, 602, 14249, 723, 630, 2254, 513, 1505, 17107, 258, 769, 1496, 4792, 14158, 258, 1948, 21070, 454, 2745, 19906, 17482, 2020, 2745, 28361, 333, 14826, 5073, 258, 18564, 519, 1079, 5036, 540, 23049, 692, 2745, 19906, 269, 31412, 263, 272, 267, 1839, 11723, 2745, 28361, 333, 14826, 5073, 2745, 19906, 269, 31412, 263, 272, 267, 1839, 1040, 27729, 2020, 2745, 28361, 333, 5073, 2745, 19906, 269, 31412, 263, 1839, 267, 272, 11723, 2745, 28361, 333, 14826, 5073, 2745, 19906, 6155, 6943, 994, 0, 5814, 11885, 607, 5286, 454, 258, 8620, 513, 1007, 5044, 540, 476, 273, 265, 273, 9981, 267, 1510, 3355, 1944, 13366, 563, 2745, 18828, 25910, 8443, 273, 267, 273, 3910, 842, 4917, 2745, 18828, 269, 2158, 8443, 274, 267, 274, 3910, 842, 11723, 2745, 28361, 333, 14826, 14826, 17210, 311, 815, 5286, 15126, 31912, 272, 267, 273, 267, 274, 3910, 1496, 275, 267, 276, 267, 277, 316, 3910, 5286, 269, 842, 3953, 994, 2745, 18828, 269, 24105, 318, 3697, 11583, 11723, 2745, 18828, 4318, 6614, 263, 275, 11723, 2745, 28361, 333, 14826, 14826, 17210, 2745, 18828, 269, 1211, 640, 263, 274, 11723, 2745, 28361, 333, 14826, 17210, 2745, 18828, 269, 2158, 8443, 275, 267, 274, 8079, 2020, 258, 2913, 1535, 815, 5286, 30784, 1052, 263, 275, 267, 546, 6943, 284, 12639, 269, 842, 5038, 1040, 8073, 606, 5044, 540, 3283, 609, 519, 1482, 3337, 543, 1826, 607, 2473, 780, 343, 815, 5286, 30784, 1052, 263, 275, 267, 546, 6943, 284, 12639, 269, 842, 5038, 994, 2745, 3488, 6783, 540, 3283, 609, 519, 1482, 3337, 543, 1826, 607, 2473, 3299, 12639, 269, 2158, 318, 3697, 3287, 11723, 258, 8073, 513, 1007, 5044, 540, 476, 274, 265, 273, 10581, 2338, 267, 4904, 609, 21325, 563, 2745, 18828, 25910, 8443, 274, 267, 273, 3910, 15615, 11723, 2745, 28361, 333, 14826, 5073, 258, 8073, 513, 1007, 5044, 540, 476, 273, 265, 276, 579, 6493, 267, 4904, 609, 476, 277, 563, 2745, 18828, 269, 21459, 8443, 273, 267, 276, 3910, 277, 11723, 2745, 28361, 333, 14826, 17210, 258, 3036, 454, 2745, 18828, 269, 2158, 8443, 273, 267, 276, 3910, 703, 12684, 277, 2020, 2745, 28361, 333, 14826, 17210, 258, 5804, 4540, 1239, 281, 7042, 258, 22056, 606, 5044, 540, 1496, 272, 267, 273, 267, 274, 2639, 2745, 18828, 30784, 1052, 263, 272, 267, 275, 4917, 2745, 28361, 333, 14826, 5073, 258, 4131, 1535, 815, 1496, 272, 267, 476, 273, 4940, 22417, 621, 883, 606, 5044, 780, 343, 284, 1496, 272, 267, 273, 2639, 2745, 18828, 15126, 3287, 11723, 2745, 18828, 269, 553, 6783, 3287, 11723, 2745, 28361, 333, 14826, 262, 9239, 258, 4131, 2473, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 14963, 1040, 22417, 621, 883, 513, 5119, 563, 16482, 311, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 316, 7481, 2745, 18828, 269, 9795, 11583, 11723, 2745, 28361, 333, 14826, 17210, 311, 815, 1496, 272, 267, 273, 2639, 2745, 18828, 269, 553, 6783, 11583, 267, 15615, 11723, 2745, 18828, 269, 553, 325, 6783, 11583, 11723, 343, 284, 12639, 15126, 8443, 1789, 7481, 2745, 18828, 269, 817, 5632, 541, 3287, 11723, 2745, 28361, 333, 14826, 17210, 258, 22056, 513, 5044, 5299, 540, 476, 1535, 2073, 6518, 814, 1114, 7329, 689, 7329, 689, 1535, 454, 343, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 7481, 344, 815, 5286, 6983, 4878, 3287, 994, 2745, 263, 573, 3287, 1070, 343, 994, 2745, 263, 573, 12169, 1070, 344, 9239, 258, 8620, 606, 5044, 540, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 10371, 1421, 476, 1911, 563, 2745, 18828, 30784, 1052, 263, 273, 267, 6200, 267, 273, 4917, 258, 8620, 513, 476, 272, 5937, 5044, 540, 476, 2004, 14961, 22274, 2609, 1063, 476, 274, 269, 543, 476, 1015, 1421, 8537, 563, 2745, 18828, 7456, 1231, 10628, 263, 274, 267, 1015, 267, 2004, 11723, 2745, 28361, 333, 14826, 5073, 258, 8620, 513, 476, 272, 5937, 5044, 540, 476, 2004, 3693, 22274, 14961, 593, 513, 2845, 4336, 1063, 476, 274, 269, 543, 476, 1015, 1421, 12600, 563, 2745, 18828, 28802, 11898, 263, 274, 267, 1015, 267, 2004, 267, 754, 4812, 815, 8771, 11723, 2745, 28361, 333, 14826, 17210, 2745, 18828, 28802, 11898, 263, 274, 267, 1015, 267, 2004, 264, 9239, 258, 19465, 14290, 454, 258, 4131, 2473, 815, 5286, 15126, 31912, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 1496, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 14963, 1040, 5192, 519, 15497, 540, 2473, 267, 602, 568, 267, 1496, 271, 267, 476, 276, 267, 476, 1015, 14073, 2745, 28361, 333, 14826, 262, 9239, 311, 815, 5286, 15126, 31912, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 1496, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 316, 7481, 2745, 18828, 6155, 328, 698, 11583, 11723, 2745, 28361, 333, 14826, 5073, 258, 8620, 513, 476, 273, 5937, 5044, 4171, 15497, 11224, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 316, 543, 476, 271, 781, 11992, 780, 2745, 18828, 6155, 328, 698, 29788, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 9239, 2745, 28361, 333, 14826, 5073, 258, 8620, 606, 5044, 799, 5654, 899, 2630, 269, 5044, 31912, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 476, 275, 267, 476, 271, 267, 476, 271, 3910, 1496, 476, 278, 267, 476, 279, 267, 476, 271, 3910, 1496, 1015, 267, 476, 1556, 267, 476, 1321, 316, 7481, 2745, 18828, 6745, 22567, 18828, 30784, 1052, 263, 272, 267, 1724, 1040, 31412, 263, 275, 267, 274, 1070, 268, 272, 264, 9239, 2745, 28361, 333, 14826, 5073, 258, 8620, 606, 5044, 799, 5654, 899, 2630, 269, 5044, 31912, 476, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 476, 275, 267, 476, 276, 267, 476, 277, 3910, 1496, 476, 271, 267, 476, 279, 267, 476, 280, 3910, 1496, 476, 271, 267, 476, 271, 267, 476, 1321, 316, 7481, 2745, 18828, 6745, 686, 340, 18828, 30784, 1052, 263, 272, 267, 1724, 1040, 31412, 263, 275, 267, 274, 1070, 268, 272, 264, 9239, 0, 5814, 28184, 5793, 607, 28184, 1477, 5814, 28184, 5793, 269, 1777, 330, 607, 512, 339, 330, 5897, 258, 2870, 3597, 1477, 10174, 815, 28184, 11053, 330, 14052, 10174, 269, 613, 5852, 2891, 8517, 343, 4335, 14744, 4900, 815, 476, 271, 5897, 6112, 9343, 2999, 476, 273, 6769, 825, 3597, 269, 992, 20813, 2682, 263, 4900, 267, 2597, 284, 272, 3418, 825, 3597, 269, 26383, 20813, 2682, 263, 4900, 267, 2597, 284, 272, 3418, 825, 9343, 6834, 476, 272, 5897, 258, 2870, 513, 7406, 585, 13936, 782, 11097, 12033, 1477, 7343, 20988, 815, 28184, 12171, 9347, 20172, 3418, 7343, 20988, 26942, 21405, 284, 271, 267, 6241, 284, 271, 264, 476, 1948, 2073, 9587, 3966, 284, 4968, 10142, 258, 12861, 6003, 585, 2140, 1477, 7343, 17138, 815, 28184, 11482, 8475, 263, 7343, 20988, 267, 1257, 6889, 306, 784, 670, 3951, 20530, 2109, 2580, 13944, 284, 2891, 6635, 658, 2580, 476, 1789, 17903, 7343, 17138, 26942, 21405, 284, 271, 267, 6241, 284, 271, 3418, 7343, 17138, 273, 815, 28184, 11482, 8475, 263, 7343, 20988, 267, 1257, 6889, 2580, 13944, 284, 2891, 6635, 658, 2580, 476, 276, 17903, 7343, 17138, 273, 26942, 21405, 284, 271, 267, 6241, 284, 272, 10142, 18257, 12861, 519, 1101, 9184, 540, 519, 3498, 1862, 713, 9184, 568, 585, 519, 5152, 23116, 269, 18257, 1477, 258, 12861, 29601, 585, 476, 273, 946, 2665, 1477, 16694, 1504, 815, 512, 339, 330, 269, 9616, 1504, 263, 7343, 20988, 3418, 16694, 1504, 26942, 21405, 284, 273, 267, 6241, 284, 271, 267, 20202, 6889, 310, 2580, 9343, 3966, 284, 1911, 267, 9587, 3966, 284, 15996, 10142, 258, 16294, 938, 1101, 21741, 269, 901, 9184, 3568, 1257, 7901, 585, 1477, 258, 10024, 18405, 543, 7735, 585, 7311, 5690, 23228, 2457, 272, 815, 512, 339, 330, 12171, 9347, 263, 7343, 20988, 3418, 16694, 1504, 14491, 263, 2457, 272, 267, 1257, 8782, 299, 344, 7879, 5811, 262, 10142, 258, 22443, 1657, 1257, 7901, 547, 2995, 3593, 547, 834, 11767, 18405, 3371, 2668, 1477, 11767, 299, 344, 7879, 2080, 299, 8475, 815, 512, 339, 330, 11482, 8475, 263, 2457, 272, 267, 1257, 6889, 11767, 10370, 7879, 1934, 24333, 14950, 3429, 284, 276, 3418, 11767, 299, 344, 7879, 2080, 299, 8475, 26942, 21405, 284, 272, 267, 6241, 284, 271, 10142, 258, 3767, 1711, 1257, 7901, 538, 713, 834, 299, 344, 7879, 5811, 257, 9184, 269, 10370, 7879, 616, 3403, 538, 713, 1257, 7901, 1477, 569, 7879, 17806, 26213, 815, 28184, 11053, 2169, 263, 2457, 272, 267, 4463, 284, 736, 267, 8700, 284, 2004, 3418, 569, 7879, 17806, 26213, 26942, 21405, 284, 273, 267, 6241, 284, 271, 264, 476, 1948, 2073, 9343, 3966, 284, 2004, 267, 9587, 3966, 284, 2004, 10142, 258, 29502, 585, 16792, 4393, 543, 12605, 547, 10370, 7879, 23228, 15263, 3719, 2023, 815, 512, 339, 330, 269, 3719, 2023, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 952, 513, 678, 1329, 1721, 345, 18372, 547, 269, 23052, 2939, 568, 909, 2185, 5569, 539, 13691, 993, 1186, 547, 7574, 2474, 602, 1376, 609, 552, 1918, 6737, 267, 959, 6017, 3768, 708, 1067, 1696, 13195, 31423, 338, 15330, 269, 1879, 972, 616, 10253, 7941, 606, 9311, 2939, 267, 621, 2636, 22407, 593, 513, 3501, 533, 836, 2449, 1281, 711, 723, 835, 269, 769, 25588, 942, 22782, 2348, 2829, 547, 6281, 8789, 4063, 538, 1101, 9416, 547, 1404, 538, 513, 521, 1721, 345, 18372, 1797, 563, 306, 869, 32171, 568, 6825, 609, 7574, 454, 1911, 7574, 2474, 585, 14987, 1565, 14440, 623, 10730, 29395, 269, 8555, 341, 729, 1759, 593, 16147, 531, 10103, 2864, 982, 519, 19820, 269, 21846, 8574, 8220, 1079, 3771, 1186, 269, 27400, 513, 18846, 610, 3126, 540, 536, 1742, 269, 11518, 7685, 543, 7812, 2098, 777, 325, 616, 17265, 519, 4436, 13366, 585, 5470, 543, 9631, 3939, 269, 634, 1376, 4466, 5036, 909, 2185, 1317, 593, 513, 2650, 345, 29090, 9594, 5196, 799, 269, 634, 13176, 2575, 1978, 3029, 851, 538, 10978, 1145, 1063, 2453, 602, 16569, 585, 4730, 3270, 609, 4082, 543, 1533, 569, 32171, 1990, 4007, 9150, 267, 543, 513, 1447, 25254, 256, 634, 1376, 972, 616, 2476, 2324, 593, 3270, 585, 7574, 2474, 602, 1376, 609, 552, 5569, 754, 334, 533, 27494, 11527, 340, 754, 334, 533, 27494, 1110, 5809, 1866, 616, 1572, 4620, 527, 17079, 548, 269, 3487, 610, 609, 2810, 538, 1142, 1899, 610, 8678, 282, 7574, 2474, 602, 1376, 609, 552, 524, 637, 25728, 334, 269, 1548, 781, 513, 2262, 602, 5956, 609, 661, 286, 7591, 1079, 524, 2096, 321, 1023, 568, 602, 2013, 2057, 14589, 525, 610, 7574, 2474, 602, 1376, 609, 552, 598, 536, 26369, 269, 6435, 513, 7574, 2474, 602, 1376, 609, 552, 524, 637, 25728, 334, 269, 661, 519, 3791, 4063, 540, 519, 1019, 520, 4577, 4336, 540, 595, 2101, 519, 1883, 610, 4336, 2348, 269, 1677, 1404, 2673, 2614, 547, 3132, 1312, 7293, 1489, 2319, 814, 18481, 1970, 524, 2101, 610, 11733, 25361, 563, 5522, 11691, 942, 849, 1797, 4730, 513, 3044, 9240, 913, 547, 1832, 942, 269, 634, 8851, 540, 13311, 2609, 540, 606, 5122, 5365, 269, 1323, 2025, 7544, 540, 513, 18512, 1915, 269, 1323, 3403, 5365, 1377, 2575, 2474, 602, 256, 1879, 8220, 13063, 602, 616, 5828, 909, 269, 4239, 1511, 769, 2575, 606, 12354, 1511, 814, 782, 4967, 13235, 291, 9128, 294, 607, 1134, 607, 741, 5857, 1186, 543, 269, 5824, 2575, 585, 707, 1378, 1305, 269, 7200, 1457, 543, 811, 19347, 269, 1411, 547, 1404, 621, 568, 3710, 538, 513, 4063, 538, 6370, 267, 543, 21305, 14404, 665, 2120, 1368, 527, 1513, 547, 4766, 513, 4062, 543, 972, 568, 13497, 4824, 609, 269, 1323, 3003, 6810, 971, 607, 596, 513, 7574, 2474, 602, 1376, 609, 552, 533, 807, 576, 14179, 618, 324, 1965, 12304, 16343, 269, 1703, 616, 1082, 2474, 1031, 538, 2575, 543, 891, 8847, 543, 3137, 269, 12312, 22760, 9663, 737, 15442, 1512, 10246, 514, 267, 1079, 5283, 21288, 3515, 543, 1445, 593, 2413, 15690, 2165, 267, 543, 2360, 547, 1376, 593, 17974, 269, 634, 2063, 1305, 547, 938, 3586, 585, 269, 5623, 2575, 2474, 543, 8847, 609, 713, 29395, 2575, 274, 7305, 540, 12937, 589, 645, 595, 667, 661, 674, 717, 670, 594, 269, 23680, 8900, 5569, 610, 1039, 2688, 11768, 554, 339, 331, 321, 573, 269, 10705, 4016, 547, 609, 7574, 1899, 814, 1212, 23264, 568, 563, 294, 3433, 995, 4666, 543, 19280, 519, 5011, 540, 546, 592, 322, 564, 568, 1305, 2474, 609, 7574, 454, 1432, 781, 519, 7043, 652, 6478, 538, 519, 2622, 3371, 616, 476, 1321, 540, 23067, 10076, 269, 634, 1376, 540, 7574, 2474, 602, 1376, 609, 552, 1093, 328, 5302, 826, 1281, 269, 1280, 519, 2800, 9582, 540, 513, 30413, 267, 3092, 269, 3794, 27443, 540, 2575, 16166, 9504, 269, 10671, 22044, 7136, 568, 513, 7136, 585, 519, 4666, 269, 898, 729, 6964, 585, 930, 2370, 942, 538, 4108, 13164, 267, 855, 1510, 1454, 1967, 269, 20405, 3350, 602, 1797, 513, 2165, 269, 15535, 20187, 669, 656, 267, 10750, 5152, 269, 17421, 540, 14440, 13691, 1079, 3946, 616, 3254, 2059, 609, 6656, 2575, 4051, 532, 519, 32058, 626, 7843, 17763, 4460, 902, 589, 32171, 16287, 602, 568, 513, 2262, 610, 8360, 3947, 596, 519, 21917, 781, 2856, 540, 875, 3728, 519, 2575, 1058, 1745, 269, 1677, 519, 1101, 10678, 543, 24526, 11056, 568, 13234, 676, 3520, 864, 8988, 267, 609, 7574, 2474, 602, 942, 540, 1079, 11105, 3109, 543, 513, 3819, 12308, 593, 799, 5205, 519, 269, 5259, 5569, 539, 6293, 9967, 540, 513, 6949, 908, 12475, 18857, 7387, 547, 799, 513, 3444, 8663, 729, 7923, 676, 1079, 1788, 532, 7916, 269, 12910, 7222, 547, 5569, 754, 334, 269, 634, 5152, 676, 795, 339, 2923, 13055, 6498, 540, 513, 28478, 5652, 855, 23248, 1869, 711, 1152, 538, 7574, 2474, 602, 1376, 609, 552, 12387, 1729, 269, 634, 5207, 5569, 3296, 610, 30632, 547, 948, 513, 1970, 269, 634, 1259, 18565, 616, 3489, 762, 267, 10169, 23401, 602, 2270, 1543, 11540, 827, 2575, 4063, 269, 901, 568, 7923, 676, 23882, 23929, 610, 7574, 2474, 602, 1376, 609, 552, 538, 12334, 6366, 610, 1895, 610, 1106, 4570, 563, 13528, 28861, 24190, 609, 6780, 22347, 3827, 454, 24552, 1376, 609, 661, 1913, 1376, 661, 606, 8183, 540, 661, 24722, 2480, 4599, 1076, 269, 12130, 840, 10102, 616, 3177, 538, 519, 8020, 9055, 540, 513, 11544, 4604, 269, 24296, 322, 1090, 1076, 519, 7574, 2474, 4267, 269, 1284, 2446, 602, 2729, 593, 741, 5065, 256, 18564, 602, 814, 513, 20036, 8642, 585, 269, 634, 11359, 4063, 267, 1152, 1913, 585, 14440, 267, 4945, 2965, 1451, 827, 4224, 2575, 286, 1323, 5662, 585, 10652, 2280, 30518, 2854, 856, 1271, 17539, 538, 513, 10116, 4063, 593, 543, 256, 28042, 1913, 18421, 273, 1260, 269, 1323, 23191, 517, 9967, 1152, 7368, 8574, 1590, 849, 2780, 267, 799, 676, 6679, 538, 7574, 2474, 602, 1376, 609, 552, 598, 1965, 16054, 324, 269, 1809, 666, 1376, 3206, 729, 1419, 946, 609, 5904, 865, 1082, 4609, 616, 544, 27419, 909, 883, 930, 16147, 10503, 4063, 3160, 5033, 527, 2158, 538, 7574, 2474, 602, 1376, 609, 552, 18085, 629, 850, 552, 6845, 5633, 521, 867, 7236, 616, 1082, 23964, 269, 769, 519, 32171, 267, 811, 22471, 11035, 269, 1280, 1034, 4967, 538, 2413, 32058, 657, 267, 713, 2164, 538, 519, 17200, 11495, 1079, 12673, 2864, 982, 1614, 269, 1323, 14556, 1881, 1106, 540, 588, 3147, 6737, 4967, 540, 3574, 602, 835, 12334, 540, 7574, 2474, 602, 1376, 609, 552, 6845, 5633, 18009, 564, 714, 7748, 269, 634, 957, 540, 9013, 519, 5365, 1377, 543, 25559, 532, 1022, 6727, 15088, 267, 8744, 513, 683, 831, 3280, 543, 4946, 2844, 269, 22189, 3171, 626, 568, 513, 2575, 19829, 267, 21917, 267, 17404, 267, 543, 5856, 945, 814, 30363, 1079, 2835, 593, 519, 1888, 540, 2575, 2069, 269, 634, 7574, 2474, 602, 1376, 609, 552, 267, 538, 513, 14941, 568, 849, 607, 1134, 538, 563, 10376, 7574, 2474, 602, 4001, 2575, 982, 1775, 1174, 454, 9199, 1188, 610, 32334, 267, 1152, 8928, 538, 10103, 849, 1572, 1351, 2587, 5055, 529, 269, 634, 9030, 4063, 540, 513, 21199, 282, 606, 934, 5034, 4063, 282, 670, 879, 696, 3073, 601, 269, 631, 4785, 13965, 23834, 5308, 306, 14473, 589, 9215, 2098, 6611, 2006, 8535, 269, 769, 7574, 2474, 602, 1376, 609, 552, 5569, 269, 654, 2969, 307, 720, 543, 513, 8273, 10584, 269, 769, 513, 1434, 2856, 568, 513, 32171, 540, 3280, 811, 982, 835, 610, 7574, 2474, 602, 1376, 609, 552, 1178, 345, 807, 269, 7136, 5161, 540, 513, 5152, 693, 606, 19280, 540, 1728, 332, 985, 267, 19283, 766, 540, 4967, 616, 1644, 547, 7574, 2474, 602, 1376, 609, 552, 5033, 680, 823, 269, 31722, 10156, 8884, 610, 3423, 320, 13005, 1698, 334, 593, 3909, 4798, 971, 1919, 538, 7574, 2474, 602, 1376, 609, 552, 12190, 690, 571, 325, 807, 546, 7578, 3288, 13125, 267, 610, 6293, 610, 1915, 538, 269, 7324, 519, 5215, 540, 1404, 3724, 2206, 619, 936, 519, 2063, 24239, 1296, 9039, 1796, 856, 811, 982, 700, 1092, 631, 5190, 327, 22894, 543, 15011, 25428, 681, 2378, 328, 269, 634, 1376, 543, 524, 2101, 4336, 5546, 3079, 3957, 585, 7574, 2474, 602, 1376, 609, 552, 598, 1965, 16054, 324, 269, 2060, 11896, 18041, 543, 9587, 941, 513, 7574, 2474, 602, 1376, 609, 552, 1178, 345, 807, 269, 769, 713, 29395, 649, 786, 13713, 2491, 782, 12204, 540, 7574, 1913, 2453, 543, 27325, 649, 7237, 607, 14941, 11302, 1924, 1433, 5658, 713, 2985, 563, 268, 2051, 7895, 1446, 552, 19448, 10260, 320, 269, 12928, 11839, 10689, 602, 1899, 543, 25336, 1419, 538, 4831, 4812, 693, 606, 8216, 1413, 1575, 6402, 513, 1592, 540, 7574, 2474, 602, 1376, 609, 552, 12190, 690, 571, 325, 807, 546, 7578, 2575, 320, 269, 901, 568, 2808, 547, 7574, 2474, 602, 1376, 609, 552, 19448, 6720, 14901, 513, 5888, 5497, 585, 5854, 6737, 269, 589, 6422, 6044, 2495, 547, 7930, 1404, 26982, 2678, 18868, 20946, 540, 3280, 538, 2575, 634, 8552, 540, 2571, 547, 10978, 661, 18479, 4445, 589, 4062, 540, 269, 3509, 2242, 538, 2078, 547, 581, 3222, 538, 7574, 2474, 602, 1376, 609, 552, 538, 512, 4689, 3889, 616, 2854, 2575, 547, 1404, 609, 5374, 13063, 610, 1256, 585, 28416, 5365, 609, 269, 7969, 2262, 585, 606, 19762, 560, 1537, 5888, 609, 513, 2101, 851, 585, 835, 610, 811, 15747, 21088, 1235, 269, 634, 10103, 693, 513, 2016, 4090, 269, 6490, 528, 1125, 519, 4967, 538, 519, 7574, 9904, 1519, 5857, 1186, 543, 1166, 1846, 269, 634, 3020, 588, 3147, 6737, 568, 1500, 856, 669, 11501, 1198, 593, 267, 538, 512, 4689, 2575, 267, 4496, 581, 831, 610, 1883, 267, 693, 922, 26350, 267, 4988, 676, 1387, 4084, 610, 256, 20274, 10426, 5320, 454, 268, 901, 4016, 547, 1118, 5347, 5912, 8574, 269, 18919, 20315, 2207, 281, 1323, 5907, 1198, 602, 8591, 513, 16607, 4528, 540, 513, 5365, 547, 3294, 267, 4929, 513, 2220, 30139, 3107, 267, 2220, 26325, 3280, 269, 901, 1797, 4730, 2575, 5462, 676, 267, 3592, 782, 2010, 616, 711, 909, 3368, 6521, 593, 546, 527, 267, 1247, 16995, 2835, 676, 11173, 609, 7574, 2474, 602, 1376, 609, 552, 598, 1813, 2463, 269, 3794, 27443, 540, 28042, 16301, 769, 1250, 2575, 2090, 594, 723, 1419, 1336, 621, 24858, 711, 6616, 519, 2495, 269, 1323, 3504, 5259, 1128, 337, 341, 684, 550, 609, 17288, 12673, 267, 3957, 1310, 922, 23266, 267, 610, 1593, 1356, 267, 9210, 580, 517, 639, 269, 1773, 3166, 1657, 18057, 4967, 267, 6920, 602, 789, 616, 547, 581, 1930, 4967, 269, 898, 568, 1034, 1419, 1031, 585, 5569, 7405, 267, 2094, 609, 873, 1776, 1797, 540, 11056, 568, 1419, 2009, 269, 898, 1522, 581, 5363, 547, 782, 540, 721, 547, 2671, 7574, 2474, 602, 649, 616, 18516, 540, 267, 543, 1628, 513, 2146, 29395, 269, 23883, 538, 799, 616, 1082, 1114, 4025, 593, 513, 7287, 547, 1376, 972, 723, 835, 7574, 2474, 602, 1376, 609, 552, 1918, 6737, 563, 268, 17677, 519, 942, 540, 519, 1482, 3350, 269, 634, 5624, 538, 1726, 1076, 1579, 325, 2965, 11963, 519, 2262, 674, 19781, 269, 2290, 540, 519, 6529, 543, 1866, 676, 1387, 4084, 610, 7574, 2474, 256, 2290, 540, 519, 538, 4869, 675, 13515, 593, 606, 1418, 269, 634, 6293, 814, 1044, 5063, 2847, 1882, 269, 1912, 29320, 616, 25992, 1317, 789, 1439, 609, 513, 4090, 776, 610, 3803, 2631, 540, 1065, 846, 269, 918, 2761, 580, 267, 798, 577, 562, 32218, 1990, 340, 521, 1013, 749, 269, 634, 2136, 2276, 13195, 15428, 538, 519, 476, 1911, 781, 865, 602, 782, 4967, 2253, 609, 513, 1114, 4484, 269, 634, 1376, 4466, 5036, 666, 581, 7357, 27901, 936, 689, 2694, 538, 513, 4063, 10978, 855, 602, 991, 13105, 26520, 267, 642, 643, 20160, 610, 7574, 2474, 602, 1376, 609, 552, 533, 807, 576, 14179, 618, 324, 1965, 12304, 16343, 24924, 18085, 334, 521, 739, 523, 19513, 269, 634, 7574, 9904, 2882, 1152, 476, 278, 5022, 589, 645, 595, 667, 661, 674, 717, 2201, 519, 5234, 1142, 1899, 610, 269, 769, 513, 22459, 547, 1376, 4466, 3501, 533, 836, 2449, 609, 7574, 2474, 602, 1376, 609, 552, 5033, 680, 823, 269, 634, 1376, 856, 540, 8082, 593, 10103, 547, 513, 5569, 6846, 10766, 267, 2571, 607, 7574, 2474, 602, 1376, 609, 552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 1843, 855, 568, 267, 2864, 267, 3274, 519, 8901, 9668, 540, 519, 1079, 2621, 538, 519, 796, 27146, 539, 11282, 1062, 799, 1590, 581, 3677, 982, 519, 4399, 18773, 1535, 262, 16859, 1892, 1548, 952, 1269, 339, 262, 318, 272, 284, 339, 262, 318, 273, 284, 271, 259, 286, 3973, 649, 1205, 602, 849, 1269, 339, 318, 272, 284, 339, 318, 273, 284, 271, 10608, 1924, 952, 519, 6482, 3217, 1747, 1318, 693, 519, 3355, 942, 630, 15290, 519, 5169, 540, 590, 568, 519, 1482, 609, 519, 5169, 538, 590, 10807, 1269, 343, 318, 273, 14870, 318, 272, 259, 568, 513, 3259, 286, 3057, 476, 2420, 267, 476, 1001, 276, 693, 476, 1428, 281, 2537, 454, 1892, 634, 1152, 942, 713, 1131, 4755, 568, 952, 579, 568, 1541, 1227, 4642, 1287, 1312, 11282, 14604, 616, 538, 1249, 519, 1482, 7406, 3057, 476, 2420, 267, 476, 1001, 276, 693, 476, 1704, 281, 6795, 454, 1892, 7711, 5353, 6798, 5353, 6798, 267, 707, 476, 273, 526, 4845, 538, 707, 6085, 1657, 568, 711, 3020, 8259, 1269, 343, 262, 318, 272, 815, 1535, 262, 318, 273, 815, 476, 271, 10608, 901, 568, 606, 10026, 1267, 689, 519, 22784, 660, 345, 7004, 281, 3230, 339, 815, 1422, 24472, 6025, 262, 1341, 1422, 2765, 28452, 343, 262, 2410, 322, 317, 273, 348, 14638, 1280, 1022, 1269, 343, 262, 315, 928, 476, 271, 259, 543, 1269, 339, 262, 284, 271, 8961, 1269, 339, 1422, 928, 476, 271, 10608, 3057, 476, 2420, 267, 476, 1001, 276, 693, 476, 1240, 281, 2412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1279, 942, 547, 9101, 689, 519, 5256, 3034, 1607, 16972, 268, 5028, 25195, 814, 8810, 26526, 14388, 267, 7361, 1317, 972, 568, 930, 5168, 547, 621, 269, 769, 476, 1001, 277, 267, 7033, 3967, 545, 651, 267, 606, 12105, 29489, 693, 519, 2160, 540, 8053, 335, 749, 1512, 538, 5333, 543, 1071, 27236, 540, 519, 1007, 1353, 267, 6027, 519, 4222, 540, 4638, 5542, 9117, 2390, 513, 3099, 540, 3662, 2249, 543, 1336, 602, 9038, 1995, 513, 2362, 4110, 540, 4638, 5542, 982, 8951, 798, 563, 4913, 267, 519, 5256, 2427, 540, 4638, 5542, 568, 7494, 1102, 3836, 3379, 547, 519, 4775, 2427, 267, 519, 3173, 8044, 269, 1280, 3236, 267, 2090, 3695, 3344, 540, 4638, 5542, 593, 9038, 856, 15893, 1346, 6313, 4775, 6735, 585, 29982, 543, 5256, 3903, 676, 513, 3815, 540, 4557, 547, 835, 267, 5103, 519, 1249, 602, 972, 616, 3875, 8320, 540, 4775, 11371, 848, 10745, 5542, 538, 519, 3662, 10806, 563, 2691, 8951, 14526, 585, 9038, 685, 3007, 454, 763, 1579, 11732, 1806, 666, 581, 1336, 538, 865, 10777, 3023, 268, 14337, 20328, 2249, 538, 799, 519, 8951, 8362, 14526, 585, 9038, 543, 616, 519, 811, 15022, 3512, 539, 3023, 269, 1452, 1331, 10612, 325, 8460, 543, 694, 1695, 8503, 267, 538, 799, 22289, 3217, 1747, 3330, 519, 2156, 617, 533, 13224, 540, 519, 5256, 2394, 519, 1762, 616, 4712, 547, 24011, 267, 543, 713, 5256, 786, 1683, 782, 15366, 1416, 269, 769, 971, 2249, 267, 9038, 616, 513, 3908, 4199, 585, 799, 8951, 723, 547, 14526, 267, 799, 5012, 547, 5542, 585, 610, 23788, 23163, 676, 9038, 538, 1312, 840, 268, 543, 2022, 2275, 641, 17419, 19898, 3903, 563, 4913, 267, 2470, 3085, 1406, 723, 547, 581, 1166, 5792, 593, 922, 2212, 538, 1931, 547, 1294, 4638, 5542, 5665, 538, 8951, 269, 4634, 538, 2249, 609, 6671, 3023, 5107, 1141, 5256, 15022, 3512, 566, 543, 3063, 341, 698, 656, 10470, 1222, 5615, 616, 5697, 585, 267, 596, 666, 1869, 1294, 4775, 6735, 585, 1164, 7779, 9038, 269, 1280, 3236, 267, 4775, 26910, 1194, 795, 659, 11446, 630, 297, 659, 3570, 795, 659, 3570, 264, 616, 1634, 547, 26490, 1947, 4339, 585, 1852, 936, 8513, 538, 1931, 547, 30049, 1125, 2789, 29982, 269, 11531, 267, 546, 2426, 27134, 8951, 723, 7960, 1507, 28712, 602, 789, 3006, 946, 547, 6370, 824, 8951, 538, 733, 3949, 936, 1569, 547, 29982, 269, 769, 4563, 1423, 572, 630, 307, 25523, 334, 15067, 3700, 1070, 1312, 9038, 543, 8951, 14526, 585, 29982, 538, 14969, 10470, 1222, 10268, 5749, 553, 1572, 682, 802, 563, 2108, 3519, 8019, 267, 4638, 5542, 538, 8951, 1522, 2965, 581, 606, 9631, 30876, 6974, 7613, 538, 2831, 855, 5665, 1447, 7920, 569, 543, 811, 5705, 569, 3379, 547, 9038, 267, 799, 666, 1118, 621, 811, 2352, 547, 3713, 2223, 519, 3173, 5206, 563, 1103, 741, 1007, 7634, 267, 3967, 545, 651, 543, 3245, 517, 974, 559, 8495, 519, 3370, 3332, 8989, 2963, 540, 4638, 5542, 538, 8951, 689, 476, 7761, 2249, 269, 3487, 21871, 267, 519, 3173, 6027, 543, 3379, 519, 645, 622, 2006, 13506, 267, 513, 2268, 540, 519, 8516, 4324, 540, 20282, 267, 3957, 1310, 476, 736, 628, 10601, 3703, 4719, 626, 4911, 639, 3627, 645, 622, 2006, 563, 289, 622, 2006, 779, 960, 4951, 602, 9038, 3132, 14203, 693, 513, 1970, 1648, 1942, 267, 6466, 8951, 723, 513, 5266, 1454, 2362, 5092, 538, 2484, 7864, 5798, 269, 901, 1648, 19261, 538, 13708, 23176, 5092, 267, 645, 622, 2006, 11130, 267, 11479, 12721, 2994, 538, 9038, 543, 8951, 269, 631, 2297, 616, 3976, 10996, 643, 1242, 547, 3262, 741, 14203, 547, 607, 1082, 29982, 607, 2009, 543, 547, 14526, 609, 824, 9038, 585, 1569, 547, 20282, 4891, 267, 1247, 8951, 616, 10996, 643, 1242, 547, 581, 811, 1781, 657, 344, 563, 29189, 568, 14427, 585, 8951, 855, 519, 10782, 6364, 568, 1100, 3023, 693, 782, 454, 763, 645, 622, 2006, 13506, 568, 513, 2268, 540, 519, 4324, 540, 2348, 2789, 20282, 4891, 269, 634, 588, 2465, 704, 519, 7455, 540, 519, 645, 622, 2006, 13506, 267, 519, 3152, 519, 8516, 4324, 513, 5256, 610, 4775, 12374, 689, 20282, 811, 563, 7212, 891, 27080, 9867, 3552, 569, 1851, 519, 2249, 3769, 538, 519, 13849, 20400, 267, 519, 3173, 1336, 602, 8951, 689, 2249, 602, 1185, 1569, 547, 1082, 4891, 1185, 2362, 645, 622, 2006, 13506, 2418, 982, 8951, 540, 2249, 602, 22157, 547, 6140, 19898, 609, 835, 5256, 693, 513, 942, 563, 1103, 1198, 267, 713, 1797, 602, 267, 1175, 899, 9038, 267, 8951, 849, 2744, 513, 8516, 5818, 689, 1569, 547, 2789, 9038, 267, 799, 6923, 10741, 519, 7450, 585, 4638, 5542, 269, 769, 1249, 267, 519, 1353, 779, 4589, 3409, 602, 4638, 5542, 538, 8951, 568, 519, 2343, 2864, 982, 519, 9868, 2066, 519, 3662, 3529, 540, 1272, 563, 2108, 11854, 32496, 267, 938, 2164, 3561, 602, 8951, 1107, 1175, 607, 4922, 10924, 585, 9038, 1107, 3335, 4324, 689, 2348, 811, 982, 835, 20282, 7649, 269, 1306, 513, 12343, 267, 5542, 568, 849, 4397, 547, 12797, 519, 4720, 540, 4775, 7592, 602, 3895, 519, 11601, 540, 20282, 4891, 269, 1717, 267, 2016, 519, 5892, 13006, 2362, 4324, 540, 20282, 538, 9038, 267, 4638, 5542, 593, 8951, 949, 1419, 7500, 811, 6456, 569, 3056, 547, 519, 4720, 540, 1447, 17736, 545, 6681, 610, 23788, 543, 6186, 14613, 3379, 547, 9038, 2223, 789, 5206, 563, 4407, 519, 3448, 3017, 538, 13708, 23176, 1942, 1063, 519, 28486, 2693, 11479, 1271, 8965, 2242, 538, 741, 20282, 2994, 267, 519, 3173, 8044, 602, 10285, 1967, 949, 3006, 581, 12366, 1242, 950, 20282, 609, 2789, 29982, 610, 267, 693, 519, 1360, 2547, 267, 2348, 3606, 20282, 14501, 563, 2108, 8624, 937, 1947, 267, 938, 1353, 8309, 547, 513, 811, 13857, 2070, 593, 4638, 5542, 543, 3023, 3604, 538, 2489, 269, 16817, 1014, 3023, 5107, 949, 2392, 558, 3729, 519, 3662, 3529, 540, 1272, 538, 519, 2631, 602, 4638, 5542, 568, 3335, 6793, 593, 9038, 3379, 547, 8951, 855, 938, 13849, 20400, 2055, 519, 2070, 602, 8951, 616, 3335, 31352, 543, 12809, 269, 20351, 5542, 593, 8951, 1058, 711, 581, 2808, 513, 4686, 7613, 855, 3079, 581, 17019, 607, 7839, 2066, 2831, 2223, 519, 3173, 11943, 563, 12867, 723, 11567, 519, 8129, 540, 835, 540, 519, 1034, 3810, 7463, 2269, 1080, 538, 519, 3662, 10806, 281, 5711, 29086, 269, 17023, 569, 267, 519, 3173, 1336, 602, 519, 2596, 4719, 12227, 568, 1459, 538, 1312, 11864, 543, 20641, 269, 13018, 267, 972, 779, 513, 7636, 3095, 1063, 513, 9006, 10535, 13131, 779, 29086, 15374, 543, 513, 25850, 779, 2892, 643, 776, 15374, 269, 769, 3069, 267, 952, 972, 779, 2604, 689, 2067, 5542, 267, 8983, 1223, 5732, 1831, 9006, 10535, 607, 1134, 563, 22154, 4564, 606, 3504, 7636, 5943, 602, 729, 2693, 2907, 3964, 538, 519, 11937, 540, 15315, 543, 11864, 269, 26495, 1023, 3576, 513, 1447, 7294, 8905, 543, 2919, 2241, 2892, 643, 776, 15374, 1247, 15315, 4129, 1881, 713, 1062, 14916, 547, 1106, 519, 5711, 29086, 1062, 269, 901, 4847, 721, 547, 15974, 513, 19618, 2203, 540, 29086, 4720, 267, 12077, 602, 9006, 1682, 2066, 28499, 543, 15315, 7960, 676, 2921, 5413, 540, 4540, 6090, 538, 519, 2892, 643, 776, 15374, 540, 741, 11937, 2223, 3397, 928, 21983, 4446, 7699, 267, 513, 1912, 6185, 269, 2875, 693, 519, 744, 7219, 11867, 4659, 540, 3163, 543, 5303, 23958, 2160, 630, 302, 8780, 264, 543, 1291, 2278, 540, 519, 1007, 1353, 267, 5143, 2098, 10933, 3163, 563, 309, 523, 558, 666, 581, 3989, 607, 513, 7848, 540, 6757, 6675, 12462, 1729, 343, 1231, 5608, 799, 616, 6140, 5946, 264, 602, 835, 11248, 20205, 547, 1776, 630, 324, 3052, 269, 676, 513, 11116, 610, 513, 29097, 264, 585, 519, 3483, 540, 21108, 3294, 267, 17516, 513, 7594, 267, 610, 15658, 2590, 513, 2841, 3218, 269, 3509, 1114, 2010, 540, 7068, 2443, 21297, 8127, 267, 20151, 267, 1085, 23705, 687, 267, 15315, 267, 543, 1256, 930, 11864, 2443, 3100, 547, 723, 10446, 7960, 29086, 269, 901, 1185, 930, 3744, 11842, 2436, 29086, 2965, 7960, 689, 1875, 268, 1597, 10535, 855, 1644, 6211, 3334, 15110, 689, 513, 1455, 22660, 269, 901, 7948, 1406, 581, 9863, 2443, 2394, 1631, 563, 12867, 693, 519, 744, 7219, 11867, 4659, 540, 3163, 543, 5303, 23958, 2160, 630, 302, 8780, 264, 538, 3567, 543, 519, 8241, 2817, 2160, 5402, 12290, 5215, 540, 6090, 1644, 547, 29086, 269, 2776, 16227, 267, 3744, 1185, 5059, 593, 6090, 602, 2769, 519, 6757, 5946, 1336, 538, 29086, 269, 1809, 4446, 7699, 543, 9164, 3576, 621, 513, 1900, 2417, 543, 5641, 513, 9962, 2121, 865, 789, 1223, 2697, 6090, 602, 941, 2693, 1459, 1354, 519, 29086, 1062, 7960, 563, 2414, 713, 2832, 267, 789, 1031, 29086, 15374, 19122, 689, 519, 15990, 3110, 340, 13131, 630, 3682, 339, 984, 1054, 28979, 11940, 4592, 638, 600, 9850, 1070, 513, 8486, 19274, 704, 602, 779, 6805, 547, 744, 7219, 11867, 563, 14071, 723, 1044, 3843, 547, 1174, 875, 1875, 268, 1597, 10535, 2831, 7960, 29086, 585, 513, 1279, 942, 269, 1809, 267, 713, 729, 2352, 547, 798, 1317, 9006, 1682, 11457, 6385, 543, 519, 18577, 1533, 4991, 2352, 547, 18949, 609, 1390, 6111, 269, 1284, 5249, 1472, 602, 676, 2519, 711, 593, 519, 13802, 2933, 267, 855, 593, 519, 12227, 602, 2306, 873, 267, 799, 5828, 856, 547, 581, 3810, 24721, 2223, 519, 11001, 1767, 563, 5415, 982, 476, 274, 267, 1822, 968, 1723, 6016, 908, 892, 6090, 941, 4857, 602, 2170, 538, 930, 1259, 610, 1106, 609, 29086, 6090, 269, 2368, 6870, 519, 3984, 2281, 689, 2566, 3361, 676, 6721, 6266, 540, 6757, 5946, 267, 1247, 1866, 14931, 3940, 14842, 543, 24208, 269, 901, 568, 2965, 5393, 1271, 1317, 3765, 19507, 539, 5946, 666, 18645, 543, 3441, 2281, 563, 22154, 2306, 3501, 2631, 1317, 9006, 1682, 616, 513, 15483, 18571, 540, 25560, 5946, 269, 898, 568, 4105, 602, 519, 3940, 2497, 540, 891, 13802, 568, 9738, 267, 6382, 267, 519, 29086, 4465, 1406, 960, 267, 543, 519, 3662, 1131, 711, 581, 2111, 547, 6952, 922, 10352, 2223, 4446, 7699, 1767, 563, 763, 9670, 851, 729, 950, 519, 3173, 6743, 693, 519, 25450, 540, 824, 2831, 267, 1519, 1346, 596, 8910, 2760, 1589, 547, 1921, 609, 513, 9006, 10535, 13442, 267, 971, 607, 5243, 267, 32315, 2763, 525, 267, 610, 3425, 267, 543, 1336, 602, 789, 8659, 741, 1378, 8747, 540, 891, 6090, 269, 1879, 789, 7691, 602, 29086, 6090, 941, 2965, 1071, 7721, 335, 5962, 1927, 543, 609, 513, 5266, 1507, 1297, 540, 824, 6090, 267, 713, 729, 513, 968, 560, 686, 6362, 4090, 892, 585, 519, 3173, 563, 22154, 5267, 602, 972, 568, 513, 1455, 7636, 5943, 1063, 29086, 15374, 538, 15315, 543, 2892, 643, 776, 5160, 538, 1875, 268, 1597, 10535, 11864, 269, 901, 4564, 606, 3504, 7636, 5943, 602, 729, 2693, 2907, 3964, 538, 519, 11937, 540, 15315, 543, 11864, 269, 26495, 1023, 3576, 513, 1447, 7294, 8905, 543, 2919, 2241, 2892, 643, 776, 15374, 1247, 15315, 4129, 1881, 713, 1062, 14916, 547, 1106, 519, 5711, 29086, 1062, 269, 901, 4847, 721, 547, 15974, 513, 19618, 2203, 540, 29086, 4720, 267, 12077, 602, 9006, 1682, 2066, 28499, 543, 15315, 7960, 676, 2921, 5413, 540, 4540, 6090, 538, 519, 2892, 643, 776, 15374, 540, 741, 11937, 2223, 4446, 7699, 3773, 563, 763, 1353, 5267, 602, 2892, 643, 776, 14189, 8031, 1369, 11864, 941, 6829, 676, 6090, 602, 1185, 513, 2147, 4806, 540, 2534, 547, 602, 2938, 538, 9006, 10535, 15315, 267, 865, 6090, 585, 2892, 643, 776, 15374, 543, 29086, 15374, 1590, 2671, 606, 3504, 6198, 4295, 269, 2991, 519, 1079, 1899, 1137, 8237, 7366, 540, 6634, 540, 1296, 3516, 267, 519, 9006, 10535, 2249, 7960, 6211, 1949, 602, 3812, 13802, 267, 519, 4589, 4063, 563, 289, 8960, 782, 540, 713, 538, 2247, 267, 621, 779, 711, 782, 602, 9670, 602, 936, 513, 18797, 2249, 540, 11864, 616, 2965, 9006, 10535, 269, 1452, 1331, 661, 592, 760, 582, 344, 874, 5055, 630, 338, 18036, 617, 976, 543, 930, 695, 4319, 338, 1070, 3933, 582, 8145, 1092, 630, 680, 520, 2988, 639, 1070, 15616, 1886, 614, 320, 630, 341, 2086, 790, 16835, 1070, 543, 10021, 919, 630, 338, 869, 543, 7510, 326, 3240, 3500, 561, 528, 2478, 1916, 31628, 21154, 267, 713, 1797, 602, 12303, 1022, 2249, 540, 25850, 1223, 5732, 1831, 9006, 10535, 609, 2614, 605, 323, 3429, 689, 2067, 5542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21851, 6234, 1496, 315, 15238, 6600, 13580, 262, 284, 3189, 2765, 2715, 325, 262, 2410, 325, 14990, 15153, 1422, 21375, 1422, 15153, 535, 262, 284, 325, 24206, 1496, 315, 15238, 6600, 13580, 8339, 10592, 418, 28187, 13213, 364, 692, 21851, 6234, 586, 284, 325, 3287, 9385, 12101, 256, 10592, 21851, 6234, 1422, 15238, 1923, 344, 347, 7807, 15238, 1923, 325, 3287, 264, 24689, 12101, 256, 10592, 21851, 6234, 11513, 2765, 2715, 272, 2410, 344, 24828, 2765, 2715, 11276, 2410, 11459, 3686, 284, 3189, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 10592, 21851, 6234, 11513, 2765, 2715, 11276, 2410, 11459, 3686, 284, 344, 24585, 11513, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 284, 325, 21948, 343, 1040, 10592, 21851, 6234, 1422, 15238, 263, 629, 21174, 15238, 5416, 264, 10954, 15238, 6357, 1070, 315, 29911, 1422, 15238, 1422, 3847, 263, 3189, 2765, 2715, 320, 2410, 321, 14990, 2431, 21174, 15238, 5416, 9984, 315, 15238, 6357, 1070, 315, 29911, 1422, 15238, 5416, 3867, 333, 348, 6661, 333, 315, 15238, 5416, 264, 10592, 20881, 504, 17958, 10429, 361, 19764, 493, 692, 21851, 6234, 535, 3287, 21174, 2889, 323, 23214, 328, 12917, 325, 3709, 328, 12917, 343, 4297, 17353, 10401, 23214, 328, 12917, 343, 14587, 269, 10592, 21851, 6234, 1422, 15238, 6600, 3287, 4297, 7807, 8999, 23214, 328, 4153, 10401, 23214, 328, 12917, 343, 9385, 10383, 1422, 15238, 6600, 3709, 328, 12917, 343, 24270, 10592, 21851, 6234, 11513, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 7807, 8999, 23214, 328, 4153, 3847, 24560, 10401, 23214, 328, 348, 21948, 343, 9385, 10383, 1422, 15238, 6600, 3709, 328, 12917, 343, 4297, 10954, 10401, 23214, 328, 12917, 343, 9385, 10383, 11513, 2765, 2715, 325, 3709, 328, 348, 21948, 343, 20972, 325, 3709, 328, 12917, 343, 264, 14990, 2431, 4940, 10592, 21851, 6234, 535, 21948, 343, 21174, 1478, 3630, 576, 11513, 2889, 323, 23214, 328, 12917, 325, 3709, 328, 12917, 343, 4297, 17353, 10401, 23214, 328, 12917, 343, 264, 3686, 476, 3867, 325, 3287, 264, 4153, 9392, 1422, 1478, 3630, 576, 11513, 8999, 23214, 328, 4153, 3847, 315, 3189, 10401, 23214, 328, 348, 21948, 343, 9385, 10383, 1422, 15238, 6600, 3709, 328, 12917, 343, 4297, 10954, 10401, 23214, 328, 12917, 343, 9385, 10383, 11513, 2765, 2715, 325, 3709, 328, 348, 21948, 343, 20972, 325, 3709, 328, 12917, 343, 264, 14990, 2431, 315, 3686, 476, 3867, 24560, 15238, 6600, 3287, 4297, 316, 262, 32556, 18021, 498, 17958, 692, 26175, 363, 16583, 30936, 692, 21851, 6234, 535, 3287, 6661, 326, 3287, 264, 327, 3287, 9385, 12101, 256, 10592, 21851, 6234, 1422, 15238, 6600, 3287, 4297, 7807, 15238, 14116, 3287, 264, 327, 3287, 4297, 7807, 15238, 14116, 3287, 4297, 10954, 15238, 22607, 3287, 4297, 315, 12101, 256, 10592, 21851, 6234, 11513, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 284, 3189, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 266, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 264, 3686, 10592, 21851, 6234, 535, 21948, 343, 6661, 325, 3287, 9385, 9392, 11513, 19136, 326, 1422, 346, 7346, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 266, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 14587, 7346, 19136, 326, 1422, 3686, 284, 326, 3287, 264, 327, 3287, 9385, 9392, 11513, 19136, 326, 1422, 346, 7346, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 266, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 14587, 7346, 19136, 326, 1422, 3686, 10592, 417, 499, 484, 16583, 30936, 692, 21851, 6234, 535, 3287, 6661, 3189, 2765, 2715, 326, 3287, 20972, 327, 3287, 264, 14990, 12101, 256, 10592, 21851, 6234, 1422, 15238, 6600, 3287, 4297, 7807, 15238, 11513, 19136, 326, 630, 7346, 2765, 2715, 326, 3287, 20972, 327, 3287, 14587, 7346, 19136, 326, 3738, 18098, 15238, 14116, 3287, 4297, 10559, 15238, 22607, 3287, 4297, 315, 12101, 256, 10592, 21851, 6234, 11513, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 284, 3189, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 268, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 264, 3686, 10592, 21851, 6234, 535, 21948, 343, 6661, 325, 3287, 9385, 9392, 11513, 19136, 326, 1422, 346, 7346, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 268, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 14587, 7346, 19136, 326, 1422, 3686, 284, 3189, 2765, 2715, 326, 3287, 20972, 327, 3287, 264, 14990, 9392, 11513, 19136, 326, 1422, 346, 7346, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 268, 3189, 2765, 2715, 327, 21948, 343, 20972, 327, 3287, 14587, 7346, 19136, 326, 1422, 3686, 10592, 14035, 491, 12571, 486, 418, 490, 485, 12255, 16583, 30936, 692, 21851, 6234, 535, 3287, 6661, 326, 3287, 22722, 327, 3287, 264, 4153, 12101, 256, 10592, 21851, 6234, 1422, 15238, 6600, 3287, 4297, 7807, 15238, 1422, 3847, 14116, 3287, 22722, 327, 3287, 264, 4153, 2431, 6661, 327, 3287, 9385, 15238, 14116, 3287, 4297, 315, 12101, 256, 10592, 21851, 6234, 11513, 2765, 2715, 325, 21948, 343, 20972, 325, 3287, 264, 3686, 284, 327, 21948, 343, 9385, 15238, 14116, 3287, 4297, 266, 327, 3287, 264, 3189, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 264, 3686, 10592, 21851, 6234, 535, 21948, 343, 6661, 325, 3287, 9385, 9392, 11513, 19136, 326, 1422, 24001, 327, 21948, 343, 9385, 15238, 14116, 3287, 4297, 266, 327, 3287, 264, 3189, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 14587, 7346, 19136, 326, 1422, 3686, 284, 326, 3287, 22722, 327, 3287, 264, 4153, 9392, 11513, 19136, 326, 1422, 24001, 327, 21948, 343, 9385, 15238, 14116, 3287, 4297, 266, 327, 3287, 264, 3189, 2765, 2715, 326, 21948, 343, 20972, 326, 3287, 14587, 7346, 19136, 326, 1422, 3686, 269, 10592, 9463, 480, 26033, 481, 24757, 419, 490, 362, 692, 272, 269, 9745, 918, 7949, 345, 267, 24697, 717, 269, 20145, 1629, 22438, 1881, 269, 17755, 3863, 6953, 650, 12333, 269, 476, 1220, 274, 281, 476, 10204, 269, 9768, 1109, 271, 268, 5881, 268, 16928, 28143, 268, 271, 563, 273, 269, 9745, 715, 10422, 269, 7195, 328, 269, 13642, 27018, 20145, 269, 9605, 13665, 9012, 269, 476, 1220, 276, 281, 476, 28434, 269, 9768, 1109, 10037, 268, 10384, 279, 268, 13923, 268, 272, 563, 274, 269, 16819, 267, 3627, 269, 14451, 7177, 9119, 269, 1715, 5886, 269, 476, 1220, 277, 281, 476, 27844, 269, 9768, 1109, 271, 268, 16020, 277, 268, 279, 1428, 273, 268, 278, 563, 275, 269, 9745, 22337, 1782, 267, 11977, 570, 269, 5576, 320, 636, 781, 20895, 540, 7869, 543, 10819, 540, 20145, 585, 6355, 267, 13188, 267, 543, 519, 4317, 7070, 269, 17755, 3863, 6953, 650, 12333, 269, 476, 1960, 271, 281, 476, 8182, 269, 9768, 1109, 271, 268, 5881, 268, 30203, 6858, 274, 268, 277, 563, 276, 269, 9745, 670, 1009, 267, 3223, 603, 269, 20145, 540, 2290, 24438, 269, 21960, 16223, 7564, 12528, 269, 476, 1220, 277, 281, 476, 9032, 269, 9768, 1109, 272, 268, 5952, 273, 3451, 268, 280, 2412, 268, 274, 563, 277, 269, 9745, 2349, 1678, 267, 20574, 661, 269, 20145, 267, 2582, 4756, 269, 22219, 269, 476, 1220, 277, 281, 476, 3393, 278, 269, 9768, 1109, 272, 268, 280, 4029, 280, 1691, 268, 6795, 268, 272, 563, 278, 269, 9745, 5261, 5459, 267, 18148, 269, 1323, 16504, 6164, 1047, 593, 519, 27018, 20145, 269, 645, 7441, 1470, 289, 18054, 541, 267, 20941, 269, 476, 1220, 279, 281, 476, 1839, 1700, 2918, 269, 9768, 1109, 271, 268, 4649, 280, 268, 275, 4037, 6507, 268, 273, 269, 0, 20175, 26647, 24327, 10794, 692, 297, 617, 773, 19598, 27158, 268, 277, 628, 267, 476, 278, 628, 267, 476, 279, 628, 6103, 4569, 13478, 7220, 270, 20663, 11819, 268, 2026, 322, 3290, 4303, 3427, 5664, 3427, 6441, 2378, 599, 8291, 267, 17039, 5680, 281, 8940, 12459, 617, 773, 577, 2086, 27158, 2593, 270, 5035, 692, 296, 3357, 909, 609, 513, 1187, 1259, 547, 960, 609, 23055, 543, 621, 16621, 9498, 2259, 269, 1109, 594, 1289, 621, 5295, 26647, 24327, 780, 303, 8582, 2207, 31031, 308, 31769, 4041, 692, 273, 24812, 692, 273, 667, 823, 630, 2181, 2536, 2406, 1114, 4778, 267, 4359, 5716, 949, 946, 18062, 609, 2338, 909, 547, 476, 1015, 2020, 272, 1341, 25773, 13306, 692, 272, 24143, 9315, 692, 26761, 476, 272, 26761, 476, 273, 476, 272, 269, 1109, 476, 1911, 271, 476, 272, 269, 1109, 476, 1911, 271, 476, 273, 269, 476, 273, 269, 476, 274, 269, 476, 274, 269, 476, 275, 269, 476, 275, 269, 476, 276, 269, 476, 276, 269, 476, 277, 269, 476, 277, 269, 476, 278, 269, 476, 278, 269, 476, 279, 269, 476, 279, 269, 476, 280, 269, 476, 280, 269, 476, 1015, 269, 476, 1015, 780, 29020, 281, 1677, 1205, 811, 2798, 982, 16523, 18545, 780, 17445, 687, 281, 5637, 5716, 2253, 609, 476, 1911, 271, 2798, 269, 1109, 26761, 835, 20061, 1312, 18062, 269, 1109, 630, 274, 264, 630, 276, 264, 1109, 1261, 24172, 1590, 6430, 952, 646, 6499, 547, 979, 609, 476, 274, 547, 519, 476, 276, 628, 1379, 610, 476, 276, 547, 519, 476, 274, 6113, 1379, 780, 13828, 1053, 946, 513, 9498, 630, 1721, 9498, 2259, 264, 547, 4194, 476, 274, 547, 519, 476, 276, 628, 1379, 676, 10296, 476, 3374, 815, 543, 1287, 4194, 476, 7871, 815, 585, 476, 276, 7750, 539, 269, 1109, 1403, 519, 2875, 568, 513, 1981, 512, 6033, 267, 646, 24172, 949, 979, 609, 519, 2362, 1871, 267, 952, 646, 24172, 568, 15061, 267, 646, 24172, 949, 979, 609, 519, 2539, 1871, 780, 5629, 519, 2875, 16976, 593, 513, 1871, 267, 646, 24172, 20061, 519, 1341, 25773, 13306, 269, 1109, 1261, 24172, 1590, 1039, 610, 10208, 519, 1871, 646, 24172, 8359, 689, 476, 1911, 271, 593, 1010, 17017, 6060, 3556, 269, 1109, 26761, 1079, 849, 5638, 6345, 835, 781, 6060, 780, 2750, 281, 1109, 1261, 24172, 23297, 476, 274, 547, 519, 476, 276, 628, 1379, 1317, 621, 568, 476, 25838, 543, 568, 2362, 982, 476, 7871, 799, 568, 476, 10219, 269, 1109, 26761, 835, 20061, 513, 834, 734, 257, 865, 646, 24172, 1590, 10208, 476, 274, 547, 519, 476, 276, 628, 689, 476, 1911, 271, 267, 855, 538, 12327, 303, 2177, 28718, 3201, 1106, 269, 1109, 630, 5408, 6060, 3556, 2630, 24355, 26761, 476, 272, 26761, 476, 273, 476, 272, 269, 1109, 476, 1911, 271, 910, 476, 3374, 815, 476, 4037, 278, 476, 272, 269, 1109, 476, 1911, 271, 476, 273, 269, 1109, 476, 4037, 278, 476, 273, 269, 476, 274, 269, 476, 274, 269, 476, 275, 269, 476, 275, 269, 476, 276, 269, 476, 276, 269, 476, 277, 269, 476, 277, 269, 476, 278, 269, 476, 278, 269, 476, 279, 269, 476, 279, 269, 476, 280, 269, 476, 280, 269, 476, 1015, 269, 476, 1015, 780, 32156, 835, 781, 5180, 476, 273, 786, 2253, 609, 713, 2698, 780, 32156, 1079, 781, 2490, 780, 10287, 1482, 3268, 607, 6345, 835, 543, 1039, 610, 10208, 689, 476, 1911, 271, 269, 1109, 634, 1007, 2698, 568, 1018, 646, 24172, 6238, 609, 538, 5180, 476, 273, 780, 763, 6345, 609, 519, 1034, 2798, 693, 519, 1439, 540, 5180, 476, 1015, 17993, 780, 10743, 949, 7237, 2258, 2510, 865, 789, 1058, 917, 875, 547, 7500, 609, 9981, 15508, 585, 10257, 4267, 543, 1058, 917, 875, 547, 946, 519, 2942, 7735, 593, 513, 9498, 3079, 540, 519, 12408, 7735, 780, 10743, 1058, 1831, 5432, 609, 9498, 4238, 267, 609, 9301, 7060, 609, 1507, 9704, 267, 8275, 602, 513, 1804, 20800, 3085, 1405, 2141, 1611, 513, 3677, 1871, 267, 18946, 689, 513, 2942, 1871, 3217, 596, 1256, 20991, 2476, 689, 4642, 269, 0, 2162, 595, 11902, 6657, 7726, 692, 2467, 616, 476, 280, 5952, 2259, 2055, 585, 713, 1888, 780, 2162, 595, 11902, 6657, 7726, 692, 10521, 3339, 14778, 267, 2473, 543, 962, 267, 723, 1797, 540, 476, 1015, 260, 543, 476, 1428, 260, 6606, 269, 1548, 568, 519, 1611, 540, 519, 1739, 5276, 4999, 281, 476, 273, 311, 1341, 476, 274, 312, 888, 288, 269, 476, 7830, 269, 276, 14999, 289, 269, 476, 4792, 14999, 290, 269, 476, 4029, 269, 274, 14999, 15008, 281, 634, 5276, 4999, 540, 1079, 3339, 14778, 568, 849, 513, 3339, 3892, 269, 4706, 1611, 815, 476, 273, 1535, 476, 1015, 260, 1341, 476, 274, 1535, 476, 1428, 260, 815, 476, 4792, 10065, 0, 13997, 4781, 269, 6625, 31998, 2715, 346, 4781, 7456, 8475, 31998, 15561, 318, 2431, 454, 13997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2030, 2861, 2113, 802, 8375, 538, 8560, 267, 1082, 6300, 11825, 31739, 741, 8733, 5222, 563, 290, 553, 515, 342, 5144, 3091, 513, 27598, 267, 2428, 1399, 4244, 547, 10800, 779, 5144, 563, 5649, 593, 547, 1451, 2436, 8732, 515, 9749, 616, 3659, 610, 535, 4141, 547, 519, 1604, 563, 3674, 16629, 515, 342, 22447, 14068, 585, 519, 5113, 888, 5591, 267, 8732, 515, 342, 5144, 814, 513, 2539, 2825, 1764, 982, 10683, 5144, 538, 2474, 540, 1216, 946, 267, 3327, 5434, 267, 543, 2244, 4170, 563, 4913, 267, 621, 814, 513, 3677, 11640, 982, 930, 824, 2030, 2861, 2113, 802, 563, 306, 25703, 5214, 543, 30396, 3484, 539, 8732, 515, 9749, 267, 10893, 21187, 267, 543, 1818, 19471, 8732, 515, 342, 5144, 782, 948, 2569, 922, 8733, 1764, 563, 268, 16629, 515, 342, 5144, 814, 513, 1216, 11640, 476, 2420, 2053, 2362, 982, 10683, 5144, 855, 2539, 982, 30288, 543, 7573, 5144, 563, 268, 15188, 1532, 4454, 8732, 515, 342, 5144, 12958, 476, 271, 269, 278, 4846, 2910, 273, 324, 829, 2148, 3379, 547, 10683, 779, 476, 272, 269, 279, 4846, 2910, 273, 324, 563, 268, 8838, 532, 585, 12876, 11780, 8732, 515, 9749, 543, 8766, 11183, 5688, 3278, 6940, 563, 1692, 568, 8732, 515, 342, 5144, 1500, 888, 290, 553, 515, 342, 5144, 568, 1500, 676, 865, 1136, 6151, 8732, 515, 342, 10808, 543, 1287, 16471, 873, 609, 1216, 563, 763, 19729, 6775, 5932, 513, 5347, 267, 27598, 900, 13955, 563, 5278, 8747, 2270, 3773, 14836, 267, 6070, 267, 543, 11006, 21187, 563, 15253, 1563, 547, 30288, 543, 13386, 5144, 267, 8732, 515, 342, 5144, 814, 513, 2539, 2428, 3562, 21226, 5223, 563, 2005, 568, 6923, 6653, 267, 8506, 2370, 3773, 4006, 563, 763, 8766, 4393, 3268, 1118, 19471, 8732, 515, 342, 5144, 2653, 563, 29209, 9755, 946, 1164, 18286, 10868, 547, 11694, 6556, 563, 3719, 2596, 5820, 1118, 8732, 515, 342, 5144, 513, 5266, 2241, 2030, 5144, 563, 3674, 8732, 515, 342, 5144, 8338, 982, 10683, 5144, 888, 290, 553, 515, 342, 5144, 3622, 814, 513, 2484, 2539, 2825, 1764, 982, 10683, 5144, 563, 291, 8543, 3340, 1454, 811, 2244, 267, 1216, 267, 543, 1648, 547, 1178, 2763, 12418, 543, 3132, 5144, 563, 26244, 2358, 13184, 585, 2757, 5144, 2501, 609, 2825, 5222, 563, 763, 23226, 689, 13671, 4238, 3542, 2373, 25825, 563, 24456, 2861, 8732, 515, 342, 5144, 849, 12958, 7864, 8511, 3154, 5434, 563, 4913, 267, 4264, 1507, 8397, 10683, 8105, 814, 2539, 5222, 563, 18893, 532, 585, 5214, 8732, 515, 342, 5144, 1510, 21187, 24024, 922, 11640, 563, 14454, 267, 8732, 515, 342, 5144, 568, 3235, 10999, 9120, 547, 15007, 958, 3812, 10800, 779, 10683, 5144, 563, 1692, 4264, 616, 8732, 515, 9749, 3379, 547, 824, 10808, 888, 290, 553, 515, 9749, 616, 26815, 4264, 3379, 547, 824, 10808, 543, 5452, 1031, 585, 5144, 563, 2704, 24325, 723, 513, 1164, 1216, 11640, 267, 8506, 12555, 538, 10980, 17376, 821, 4993, 563, 24154, 7588, 2428, 16276, 27938, 22986, 8134, 563, 290, 553, 515, 9749, 24214, 1732, 13476, 982, 13386, 267, 17310, 267, 543, 6328, 601, 22756, 563, 4913, 267, 8732, 515, 9749, 616, 6738, 607, 1395, 665, 11857, 6666, 7031, 267, 12145, 9265, 563, 19853, 4393, 849, 32307, 8511, 9362, 563, 5415, 4264, 2428, 2113, 802, 1331, 23741, 267, 28113, 267, 543, 9267, 22756, 563, 3719, 2949, 267, 8732, 515, 9749, 723, 513, 544, 1342, 1782, 6940, 9043, 563, 1432, 568, 519, 1216, 11640, 540, 8732, 515, 342, 5144, 888, 303, 18166, 835, 2148, 540, 8732, 515, 342, 5144, 3217, 1472, 476, 4391, 272, 20990, 540, 1216, 563, 763, 5354, 568, 3039, 1216, 1031, 585, 3395, 519, 10808, 267, 711, 12555, 563, 2704, 12107, 543, 7573, 5144, 946, 936, 7466, 519, 1216, 563, 290, 665, 14777, 5144, 814, 513, 11640, 540, 1175, 476, 2420, 20990, 563, 4913, 267, 8732, 515, 342, 5144, 1869, 814, 513, 1216, 11640, 476, 2420, 2053, 2362, 982, 10800, 779, 5144, 563, 306, 25703, 8732, 515, 9749, 689, 4525, 609, 7791, 1216, 543, 12145, 5144, 21187, 6971, 519, 1216, 1764, 563, 3719, 2030, 5144, 29066, 6038, 554, 16636, 593, 12146, 29066, 563, 9989, 8732, 515, 342, 5144, 723, 513, 1804, 3327, 11640, 888, 763, 3327, 11640, 540, 4558, 1532, 4454, 8732, 515, 342, 5144, 25939, 1472, 476, 271, 269, 278, 13532, 2910, 273, 6697, 829, 2148, 563, 1607, 19776, 3870, 2406, 547, 10800, 779, 5144, 267, 799, 25939, 476, 272, 269, 279, 4846, 2910, 273, 324, 829, 2148, 563, 3682, 22422, 543, 3560, 5434, 17663, 1034, 540, 8732, 515, 342, 5144, 779, 11640, 563, 4913, 267, 19471, 8732, 515, 342, 5144, 666, 723, 476, 1015, 2053, 2539, 5434, 563, 18893, 532, 585, 5667, 11548, 2989, 267, 19605, 6954, 8677, 849, 2337, 563, 14454, 267, 8732, 515, 342, 5144, 814, 1970, 5434, 3379, 547, 10683, 267, 855, 824, 2030, 2113, 802, 899, 23741, 24214, 1256, 1732, 13476, 563, 6701, 8732, 515, 9749, 5683, 543, 4264, 888, 5278, 8732, 515, 342, 2504, 6799, 6940, 4145, 563, 305, 1177, 8732, 515, 342, 4393, 18271, 1309, 755, 545, 7408, 543, 32307, 8511, 9362, 563, 12507, 665, 11857, 6666, 5186, 6137, 267, 899, 609, 519, 666, 7637, 2030, 2872, 267, 7182, 9265, 543, 3114, 11378, 31358, 3037, 563, 4913, 267, 8732, 515, 342, 15250, 1841, 2061, 3037, 11761, 563, 293, 1515, 339, 8565, 2275, 1068, 1881, 8732, 515, 9749, 10018, 11832, 2924, 563, 306, 25703, 5214, 543, 30396, 19122, 8732, 515, 9749, 7339, 919, 1764, 563, 4407, 711, 519, 3039, 652, 2428, 267, 8732, 515, 9749, 2709, 8112, 585, 3309, 3096, 563, 10144, 609, 8192, 2115, 4324, 689, 1569, 547, 713, 8770, 11656, 5144, 4244, 563, 19675, 594, 16718, 8732, 515, 342, 5144, 585, 519, 4541, 888, 292, 3916, 3215, 8732, 515, 342, 5144, 949, 711, 1732, 4196, 519, 4541, 952, 621, 1797, 26871, 1154, 547, 10683, 5144, 267, 799, 814, 513, 5693, 2362, 2825, 1764, 563, 4913, 4227, 4616, 267, 1904, 532, 585, 30396, 6738, 8732, 515, 9749, 267, 543, 1818, 19471, 8732, 515, 342, 5144, 1210, 8766, 21187, 543, 11183, 782, 948, 7413, 11640, 563, 2690, 1346, 945, 7048, 593, 8732, 515, 342, 5144, 607, 513, 10683, 12990, 267, 931, 2615, 1190, 11449, 6087, 4264, 18399, 563, 1432, 568, 519, 1072, 5006, 2030, 2861, 5144, 888, 763, 1072, 5006, 2030, 5144, 5673, 593, 9422, 2115, 543, 2825, 14422, 563, 1103, 2474, 540, 6940, 267, 19471, 23741, 543, 27046, 5144, 1210, 2199, 2898, 9274, 616, 5140, 5079, 563, 4913, 267, 519, 15699, 540, 8324, 543, 15060, 268, 274, 338, 2306, 25167, 13386, 513, 7059, 3903, 563, 8248, 320, 5144, 30347, 10683, 5144, 779, 3940, 2157, 563, 23149, 11959, 949, 27774, 9319, 1978, 2030, 5946, 7357, 563, 14454, 24025, 899, 8732, 515, 342, 17038, 12107, 5144, 1683, 9422, 4763, 563, 8256, 18790, 9422, 1871, 543, 6940, 1927, 2337, 3313, 519, 6099, 2030, 5144, 563, 19675, 594, 1118, 1250, 1378, 8732, 515, 342, 5144, 888, 295, 558, 17360, 8732, 515, 342, 5144, 1210, 2199, 6151, 10808, 543, 8766, 11183, 814, 519, 9803, 2825, 1764, 543, 5207, 9422, 2298, 563, 3383, 1136, 543, 16471, 8732, 515, 9749, 568, 2241, 609, 513, 1164, 18286, 1025, 2658, 563, 4913, 267, 19471, 2428, 5144, 814, 513, 1360, 3908, 15808, 1272, 563, 6624, 3668, 519, 942, 543, 2200, 585, 12353, 2504, 563, 3719, 950, 2009, 267, 1818, 1507, 10627, 2583, 540, 19471, 8732, 515, 342, 5144, 12366, 3278, 6940, 563, 5278, 27139, 14207, 3322, 9140, 26437, 8732, 515, 342, 5144, 543, 556, 6748, 11149, 563, 3674, 8732, 515, 342, 610, 30288, 5144, 1732, 585, 519, 1604, 888, 21008, 532, 8732, 515, 342, 543, 30288, 5144, 267, 30288, 5144, 814, 513, 2362, 1216, 11640, 17596, 12555, 538, 10980, 17376, 821, 4993, 563, 3719, 8732, 515, 342, 8105, 3322, 5230, 23561, 946, 563, 3682, 22422, 8732, 515, 9749, 32307, 811, 8511, 9362, 982, 30646, 563, 4913, 267, 30646, 7048, 593, 13520, 26853, 6466, 8732, 515, 9749, 798, 711, 563, 27407, 267, 27046, 543, 23741, 5144, 616, 811, 4264, 982, 1312, 8732, 515, 9749, 543, 30646, 563, 3719, 1063, 519, 1079, 267, 8732, 515, 342, 5144, 568, 5768, 3373, 1732, 585, 519, 1604, 2016, 30288, 5144, 779, 1804, 1216, 946, 563, 24400, 5667, 11548, 2989, 267, 5214, 8677, 540, 2901, 24024, 1764, 563, 268, 22702, 547, 10683, 5144, 267, 8732, 515, 342, 5144, 568, 519, 811, 3235, 10999, 13533, 3903, 563, 268, 1809, 621, 814, 2362, 1216, 946, 543, 5434, 982, 930, 2030, 2113, 802, 563, 268, 590, 25703, 30396, 6738, 8732, 515, 9749, 543, 10893, 21187, 543, 11183, 6971, 922, 11640, 563, 268, 1280, 1082, 267, 8732, 515, 342, 5144, 3091, 606, 3015, 543, 14312, 2030, 2861, 4244, 13326, 1072, 543, 6940, 563, 9989, 8732, 515, 342, 5144, 2154, 10987, 585, 26853, 888, 5591, 267, 8732, 515, 342, 2371, 616, 2842, 1790, 3326, 3990, 865, 798, 711, 2154, 13520, 10125, 269, 901, 2306, 8732, 515, 9749, 811, 3235, 10999, 4264, 982, 30288, 5144, 799, 12346, 593, 13520, 26853, 563, 4692, 596, 1118, 8732, 515, 342, 5144, 1510, 865, 1136, 621, 888, 20597, 6235, 865, 1136, 568, 711, 5227, 269, 1924, 1136, 2571, 839, 519, 8732, 515, 9749, 585, 5347, 16471, 543, 10607, 7558, 2225, 676, 9243, 1944, 11476, 563, 3674, 19471, 8732, 515, 342, 5144, 2922, 689, 4551, 888, 295, 558, 17360, 8732, 515, 342, 5144, 1152, 16569, 476, 273, 268, 274, 2395, 14023, 730, 1354, 24401, 4979, 1813, 547, 4551, 2208, 269, 1261, 908, 519, 5144, 11498, 922, 15808, 1272, 269, 7743, 1426, 7829, 568, 1271, 563, 763, 5830, 693, 5682, 2419, 328, 290, 12522, 616, 13730, 827, 519, 1604, 543, 938, 2067, 1158, 563, 8923, 2638, 856, 938, 3896, 585, 811, 1390, 1543, 593, 2713, 30396, 269, 0, 10387, 10899, 11106, 538, 15557, 281, 769, 2221, 779, 1950, 543, 10562, 1158, 267, 2500, 5718, 568, 1898, 585, 3056, 6887, 547, 1967, 269, 2755, 2930, 543, 5042, 1983, 616, 1271, 267, 3929, 4987, 4249, 513, 2629, 1909, 538, 3384, 3401, 945, 666, 1628, 2178, 267, 1164, 12656, 14127, 6887, 563, 1607, 2376, 7710, 519, 1909, 540, 3929, 4987, 538, 5718, 543, 922, 1764, 593, 2679, 6793, 6887, 563, 2791, 2904, 6145, 281, 6206, 11150, 547, 23340, 27065, 543, 16743, 454, 305, 1961, 540, 16508, 11106, 538, 15557, 454, 20236, 5025, 16346, 281, 4197, 543, 19737, 30248, 454, 20236, 18221, 568, 519, 1101, 1900, 4724, 3929, 4987, 269, 24285, 945, 616, 3222, 540, 741, 4664, 666, 1732, 4383, 873, 543, 2057, 791, 14601, 6547, 269, 901, 2702, 2636, 873, 547, 3251, 9350, 543, 5059, 267, 1256, 538, 17173, 3871, 563, 29753, 1582, 18221, 849, 2337, 3401, 5431, 741, 9342, 543, 12755, 267, 1818, 873, 811, 8076, 543, 23674, 538, 519, 4064, 540, 741, 2319, 563, 20236, 4211, 2632, 1503, 281, 16508, 26504, 543, 23539, 995, 17423, 5336, 1136, 454, 20236, 20820, 568, 606, 1898, 5578, 585, 3401, 269, 898, 3322, 519, 2702, 547, 1852, 835, 779, 4664, 267, 6542, 6043, 538, 519, 3068, 540, 14488, 267, 543, 1118, 15826, 3664, 2864, 982, 791, 14601, 3283, 563, 22117, 619, 609, 1164, 1582, 20820, 666, 2226, 513, 2318, 960, 2916, 267, 1256, 538, 2352, 3871, 269, 1358, 6023, 2566, 3927, 267, 4509, 735, 3837, 543, 11121, 6015, 543, 6617, 538, 741, 2319, 563, 300, 582, 10474, 281, 6184, 25378, 32425, 543, 2549, 4226, 1190, 17644, 454, 300, 582, 10474, 568, 1776, 1883, 5057, 540, 3401, 685, 3929, 4987, 269, 7763, 17300, 3401, 616, 13730, 827, 741, 960, 543, 3142, 602, 1648, 547, 741, 6887, 269, 1358, 1305, 16529, 3853, 543, 8300, 1866, 547, 3035, 873, 563, 19853, 15131, 568, 21380, 543, 5932, 513, 6422, 960, 1604, 1141, 2319, 2818, 1745, 12595, 543, 12592, 563, 29248, 4331, 281, 4197, 543, 29594, 532, 547, 12243, 779, 30248, 454, 29248, 4331, 568, 606, 1898, 5578, 585, 1620, 519, 4664, 543, 5380, 540, 1866, 269, 5927, 24602, 3401, 2322, 2933, 538, 741, 2319, 779, 10887, 267, 1174, 741, 4145, 267, 543, 4431, 547, 741, 3929, 2115, 563, 1607, 5932, 513, 2916, 540, 3972, 543, 5698, 267, 1141, 2319, 2818, 1745, 19557, 547, 543, 6956, 269, 5927, 24602, 3401, 616, 849, 1732, 693, 20547, 7526, 4020, 1947, 543, 5807, 513, 18900, 960, 1604, 563, 12892, 10341, 281, 13229, 9442, 543, 21664, 454, 12892, 1983, 616, 1898, 585, 3401, 3168, 547, 1628, 2178, 6887, 269, 1452, 1983, 1331, 2500, 2792, 267, 1895, 1966, 9010, 267, 543, 519, 2702, 547, 8300, 543, 3310, 1866, 563, 22117, 619, 945, 14133, 538, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4110, 689, 12370, 543, 606, 8956, 776, 16362, 622, 689, 667, 691, 17625, 5441, 269, 5637, 2367, 5206, 14916, 267, 543, 1419, 689, 1360, 1114, 16752, 267, 3823, 519, 2990, 540, 519, 3109, 812, 538, 519, 25608, 16527, 267, 2348, 513, 7096, 1764, 2390, 875, 891, 2043, 941, 9228, 676, 519, 3152, 1977, 1857, 543, 4730, 1804, 5107, 538, 1312, 9591, 3872, 6703, 585, 3109, 1453, 543, 538, 12180, 14223, 2516, 585, 519, 3109, 1004, 563, 2026, 666, 581, 2938, 538, 1010, 26249, 267, 5455, 3245, 26913, 543, 568, 4553, 909, 2663, 538, 1010, 1433, 11554, 609, 519, 24732, 267, 6115, 5433, 602, 519, 1655, 1259, 547, 948, 519, 3109, 812, 729, 547, 5721, 1864, 538, 2048, 8114, 12009, 685, 1826, 6009, 269, 5675, 1010, 26249, 538, 476, 5002, 272, 267, 6115, 3877, 1010, 4473, 689, 519, 16034, 540, 8474, 547, 519, 2990, 540, 513, 2554, 7517, 7548, 1256, 607, 646, 8711, 519, 1585, 4128, 1946, 646, 7959, 606, 4853, 2069, 568, 519, 2953, 1576, 540, 2962, 585, 519, 5354, 540, 3109, 2367, 543, 2021, 563, 1607, 568, 4547, 856, 5693, 538, 11554, 609, 519, 24732, 607, 646, 4967, 602, 2069, 8806, 607, 513, 1797, 540, 2542, 543, 1603, 7157, 1705, 711, 3100, 6190, 585, 519, 2115, 540, 519, 3109, 2146, 1256, 950, 646, 729, 513, 1507, 7911, 269, 634, 3804, 540, 2069, 3976, 7153, 607, 1373, 1079, 24670, 267, 1101, 547, 1683, 3109, 1004, 609, 519, 1702, 543, 2069, 17028, 7458, 676, 16543, 267, 543, 2034, 547, 2285, 873, 519, 1797, 547, 1118, 741, 2729, 543, 519, 2729, 540, 824, 3109, 1004, 1732, 998, 4853, 2866, 538, 4610, 1141, 789, 941, 2693, 547, 1265, 2653, 13675, 547, 6976, 960, 5054, 269, 968, 2171, 4941, 547, 4001, 873, 547, 1353, 4890, 1919, 3079, 540, 6071, 2835, 4805, 892, 630, 29910, 267, 476, 1960, 277, 267, 533, 269, 476, 2568, 1916, 291, 340, 4425, 529, 267, 607, 666, 581, 2938, 538, 968, 8170, 519, 9751, 540, 4563, 9093, 892, 538, 634, 27804, 3149, 540, 4563, 28477, 607, 1134, 607, 1082, 540, 1010, 824, 12591, 267, 5433, 602, 519, 3109, 812, 1223, 1655, 4324, 689, 519, 1482, 3169, 1826, 540, 8106, 2069, 16363, 1271, 585, 3043, 2367, 267, 1818, 1864, 3514, 585, 519, 1482, 7158, 1287, 4904, 676, 1152, 3043, 2367, 269, 968, 5445, 1590, 1101, 723, 519, 1455, 3506, 547, 4001, 873, 547, 1224, 267, 2328, 543, 29905, 282, 543, 789, 1590, 723, 2362, 3506, 547, 4001, 3610, 585, 519, 1455, 3506, 2560, 1403, 519, 27740, 729, 547, 1451, 267, 646, 1590, 4001, 5128, 267, 543, 519, 1034, 2500, 948, 602, 1223, 581, 2016, 1864, 729, 519, 10661, 540, 3506, 547, 5721, 27740, 3610, 892, 630, 335, 269, 476, 5780, 268, 6858, 1916, 291, 340, 4425, 529, 2417, 13187, 538, 634, 717, 3424, 540, 4563, 28477, 602, 3109, 1004, 723, 1454, 547, 2709, 547, 3043, 1004, 538, 2474, 540, 741, 2489, 19773, 593, 1272, 267, 741, 2702, 547, 5660, 519, 4514, 5898, 540, 519, 1158, 543, 741, 14021, 4296, 609, 519, 18819, 540, 519, 3618, 269, 634, 1702, 540, 519, 3109, 1004, 602, 729, 711, 6026, 538, 519, 3506, 729, 2877, 547, 4628, 5180, 856, 519, 1702, 540, 519, 3043, 1004, 602, 729, 3769, 538, 513, 8106, 2069, 563, 7212, 1312, 6115, 543, 13660, 4425, 529, 5433, 621, 729, 4105, 602, 513, 3109, 812, 723, 513, 22510, 2069, 543, 5249, 29367, 547, 4434, 519, 2014, 267, 789, 9969, 7517, 2864, 9244, 593, 519, 1826, 540, 2069, 602, 1131, 581, 1034, 6225, 547, 519, 3109, 2146, 563, 4407, 6115, 6444, 602, 2757, 2048, 1504, 685, 1565, 971, 607, 729, 6026, 538, 519, 3043, 12621, 5828, 856, 1053, 602, 941, 693, 2899, 811, 2693, 547, 1616, 519, 32067, 1919, 538, 1272, 543, 1447, 2111, 547, 3489, 891, 1919, 585, 2933, 267, 13660, 4425, 529, 8612, 602, 519, 8106, 2069, 729, 2556, 547, 2490, 856, 1053, 5827, 540, 7674, 538, 519, 811, 3318, 2533, 971, 607, 7189, 543, 17864, 602, 519, 3109, 2146, 2877, 269, 2755, 1142, 812, 17019, 519, 2956, 540, 519, 2093, 540, 519, 824, 267, 789, 28209, 593, 519, 4110, 547, 799, 713, 2069, 1058, 581, 6035, 543, 519, 1655, 1797, 540, 5356, 891, 3681, 547, 519, 3109, 2875, 563, 291, 340, 4425, 529, 267, 654, 9950, 11065, 269, 634, 717, 3424, 540, 4563, 28477, 281, 27740, 525, 538, 519, 10435, 540, 3013, 269, 1715, 3840, 281, 6115, 12384, 4964, 267, 476, 4572, 275, 630, 516, 2745, 539, 476, 3192, 271, 1916, 291, 340, 4425, 529, 267, 654, 9950, 11065, 269, 634, 27804, 3149, 540, 4563, 28477, 269, 1715, 3840, 281, 654, 15030, 269, 17368, 517, 1299, 7577, 267, 476, 1960, 280, 563, 29910, 267, 3883, 518, 570, 269, 11554, 609, 519, 24732, 269, 1715, 3840, 281, 8935, 16940, 599, 267, 8525, 543, 7577, 267, 476, 5002, 275, 563, 29910, 267, 3883, 518, 570, 269, 5455, 3245, 26913, 269, 1715, 3840, 281, 654, 269, 654, 269, 17368, 517, 1299, 7577, 267, 476, 1960, 277, 269, 0, 7712, 922, 18931, 10131, 538, 476, 4489, 277, 630, 341, 517, 5403, 476, 4489, 277, 320, 1496, 320, 5758, 609, 4901, 3910, 4628, 3370, 607, 966, 517, 5403, 476, 4489, 279, 1070, 14947, 2861, 5493, 2106, 1108, 814, 1185, 513, 3622, 2318, 536, 3739, 269, 21662, 779, 630, 1001, 275, 267, 533, 269, 476, 3451, 264, 3948, 602, 5493, 2106, 1108, 568, 2048, 1492, 2582, 1034, 1271, 7936, 540, 18714, 5493, 2801, 334, 1815, 1108, 585, 519, 3735, 20167, 626, 18152, 543, 4591, 18152, 685, 786, 27229, 581, 3858, 762, 547, 1034, 540, 721, 269, 3798, 1546, 324, 3272, 779, 630, 3422, 278, 267, 533, 269, 476, 4792, 264, 8343, 602, 621, 2048, 332, 755, 7584, 609, 519, 5595, 927, 1460, 607, 835, 540, 519, 1034, 11327, 10372, 540, 2413, 2053, 685, 568, 5310, 1932, 5409, 26382, 585, 930, 267, 855, 621, 729, 2854, 1354, 519, 16411, 538, 7636, 7350, 543, 649, 1058, 5491, 14947, 2079, 609, 922, 10781, 543, 1761, 269, 1403, 519, 2361, 1058, 581, 538, 8594, 540, 13398, 5142, 267, 621, 1522, 554, 1046, 523, 849, 547, 2565, 9739, 630, 310, 601, 5407, 476, 2735, 279, 282, 918, 1638, 2006, 476, 1220, 272, 267, 476, 1220, 279, 1916, 2304, 7071, 540, 519, 10092, 3144, 1369, 10459, 666, 581, 29742, 539, 676, 2351, 328, 7240, 1353, 267, 17929, 649, 4983, 519, 2081, 602, 1919, 616, 2854, 267, 4843, 267, 14648, 543, 1256, 16053, 269, 1306, 14947, 2079, 10596, 922, 1298, 32418, 630, 289, 597, 802, 1696, 620, 269, 476, 1001, 277, 282, 29885, 1696, 620, 269, 476, 1001, 278, 1070, 621, 4667, 22317, 547, 1413, 693, 930, 540, 519, 2609, 540, 713, 3460, 269, 901, 568, 11609, 5631, 609, 4704, 547, 519, 20297, 540, 519, 9015, 1369, 922, 32090, 22657, 543, 1369, 519, 3703, 1772, 956, 12544, 10923, 543, 13796, 1445, 799, 568, 711, 5497, 547, 1524, 2452, 519, 1390, 7418, 689, 11992, 610, 538, 2663, 2053, 269, 634, 5542, 540, 891, 2127, 9356, 519, 5873, 628, 540, 519, 14947, 1505, 630, 306, 14954, 523, 264, 543, 922, 2038, 10073, 1369, 513, 3864, 26750, 609, 799, 519, 2278, 568, 5432, 269, 5246, 2526, 1239, 2291, 585, 1312, 2127, 267, 4352, 971, 2963, 814, 2943, 547, 581, 29170, 3072, 2649, 1947, 269, 1452, 12583, 4125, 22808, 267, 14789, 543, 3527, 269, 31834, 540, 930, 540, 891, 616, 4843, 1317, 789, 723, 1044, 16618, 1765, 604, 789, 941, 2479, 12517, 1634, 1765, 2421, 1082, 1699, 9439, 563, 2026, 649, 4927, 1294, 267, 29775, 2378, 700, 4526, 8583, 729, 513, 25761, 3310, 593, 31143, 691, 13153, 5403, 267, 519, 1625, 19959, 4651, 540, 14947, 2079, 269, 700, 4526, 8583, 267, 513, 9527, 324, 267, 8329, 14947, 1239, 547, 1382, 676, 7762, 534, 626, 717, 18365, 541, 15656, 26856, 538, 4279, 6628, 543, 2520, 6048, 715, 2812, 4591, 560, 538, 13785, 693, 513, 942, 538, 519, 2038, 476, 736, 628, 2540, 950, 519, 19862, 540, 519, 14947, 1505, 729, 1373, 1596, 592, 326, 730, 269, 769, 19220, 540, 713, 1623, 25027, 946, 540, 14947, 630, 663, 838, 648, 264, 1239, 676, 7762, 534, 1235, 543, 2520, 5505, 267, 972, 814, 818, 17470, 513, 8226, 602, 519, 2361, 2919, 27524, 582, 558, 3585, 1765, 14140, 2520, 10999, 543, 1287, 7762, 534, 1227, 270, 1815, 10999, 269, 901, 1147, 332, 1047, 568, 29506, 1242, 563, 763, 9439, 5018, 865, 2484, 723, 782, 1044, 2367, 267, 855, 2021, 5129, 513, 4105, 1909, 538, 519, 1686, 540, 14947, 2079, 269, 1488, 7666, 2406, 267, 789, 723, 711, 1044, 519, 15865, 32531, 1228, 799, 814, 3411, 4310, 824, 3621, 4610, 269, 4317, 9270, 540, 513, 1114, 4990, 1522, 581, 4397, 538, 29053, 543, 713, 568, 8268, 538, 2474, 540, 2372, 15715, 776, 14947, 12845, 3315, 3749, 3977, 1282, 543, 2901, 2427, 540, 519, 5822, 2622, 2782, 269, 769, 19220, 540, 519, 17522, 3361, 676, 2518, 3984, 1988, 267, 513, 15364, 540, 7607, 568, 10423, 267, 4352, 713, 729, 29169, 585, 930, 2477, 607, 519, 4655, 28815, 563, 763, 4316, 568, 849, 3144, 547, 6330, 3318, 3347, 269, 769, 1931, 547, 5660, 811, 4628, 519, 5641, 540, 3197, 267, 713, 2126, 786, 3006, 2232, 2127, 540, 741, 2729, 799, 616, 711, 14553, 5493, 2106, 1670, 269, 4790, 571, 6493, 540, 2230, 1611, 602, 713, 2272, 1590, 581, 3810, 16496, 543, 621, 568, 12479, 602, 930, 19015, 786, 581, 3177, 585, 1866, 547, 5490, 883, 519, 2370, 7721, 680, 1819, 267, 855, 3818, 1922, 14239, 2048, 1105, 1161, 685, 540, 5493, 2106, 1108, 563, 294, 755, 2378, 700, 4526, 8583, 267, 31143, 691, 13153, 5403, 267, 513, 1883, 605, 17474, 543, 824, 20297, 454, 11293, 333, 560, 32021, 984, 31143, 691, 13153, 5403, 630, 6642, 275, 1700, 4198, 272, 282, 8431, 338, 269, 476, 272, 267, 476, 273, 264, 729, 1533, 2520, 6048, 538, 772, 653, 338, 8403, 543, 8545, 569, 7905, 540, 30578, 538, 14351, 27048, 630, 300, 656, 523, 476, 3422, 278, 1040, 1261, 568, 20295, 609, 6101, 2358, 519, 14947, 12845, 3315, 3749, 1505, 267, 855, 646, 3112, 581, 1767, 547, 723, 19775, 621, 269, 901, 568, 1034, 9846, 7150, 547, 723, 1044, 1010, 21927, 267, 715, 2812, 29775, 2378, 700, 4526, 8583, 630, 5908, 271, 1700, 4572, 277, 282, 8431, 269, 476, 273, 1070, 7905, 540, 15636, 1415, 538, 14351, 27048, 267, 945, 2048, 323, 573, 711, 15476, 4376, 593, 14947, 2079, 685, 855, 729, 922, 2048, 338, 2869, 3770, 4651, 685, 630, 292, 6113, 339, 2006, 476, 3707, 274, 267, 533, 269, 476, 276, 1040, 700, 4526, 8583, 779, 14947, 12523, 941, 11368, 538, 513, 1395, 1748, 676, 715, 2812, 9986, 1993, 4591, 560, 630, 7277, 277, 1700, 4489, 279, 282, 4591, 560, 476, 5002, 280, 267, 533, 269, 476, 1789, 264, 540, 519, 16528, 24959, 11752, 1141, 649, 616, 5143, 630, 10520, 3175, 689, 661, 6113, 339, 2006, 476, 3707, 274, 267, 6032, 269, 476, 275, 1700, 276, 2187, 1862, 320, 6325, 1505, 609, 799, 547, 1246, 267, 1900, 676, 1900, 267, 689, 835, 4494, 547, 1776, 519, 11776, 540, 782, 2371, 4171, 14947, 610, 24032, 616, 12873, 607, 1134, 607, 519, 3448, 4908, 540, 891, 2249, 269, 1879, 519, 2557, 540, 5250, 540, 782, 519, 1114, 6106, 666, 581, 5462, 267, 621, 786, 849, 581, 2009, 547, 5173, 519, 3432, 609, 799, 519, 2371, 538, 2243, 6294, 3603, 563, 1607, 1131, 3100, 547, 581, 519, 4493, 540, 16627, 543, 22950, 29320, 799, 849, 2408, 538, 13153, 5403, 630, 4489, 279, 267, 533, 269, 476, 24496, 282, 8144, 13153, 5403, 476, 3422, 278, 267, 533, 269, 476, 4343, 274, 1070, 590, 2454, 630, 4198, 272, 267, 533, 269, 476, 18231, 1070, 31615, 523, 630, 3422, 278, 267, 6032, 269, 476, 1704, 1700, 1240, 264, 543, 27508, 630, 2735, 275, 267, 533, 269, 476, 1839, 1040, 898, 568, 711, 513, 1390, 12701, 540, 519, 9345, 547, 1294, 602, 519, 2062, 4707, 19722, 568, 4440, 849, 519, 5169, 540, 13153, 5403, 779, 630, 3707, 277, 264, 2663, 5667, 712, 1027, 6085, 630, 653, 269, 476, 3422, 1700, 3192, 264, 602, 912, 2507, 2421, 6313, 19250, 513, 3126, 540, 15135, 267, 4494, 676, 4494, 267, 519, 8093, 14947, 4764, 267, 799, 735, 4680, 519, 968, 335, 18543, 1166, 23768, 892, 610, 968, 335, 18543, 26034, 5608, 540, 519, 9757, 6106, 267, 649, 666, 1246, 689, 1974, 547, 1974, 519, 2242, 538, 519, 28816, 11585, 540, 519, 3148, 563, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 834, 4415, 744, 878, 517, 17034, 661, 22065, 338, 7372, 6075, 6538, 267, 4180, 22608, 3354, 3800, 1831, 2629, 269, 16700, 2224, 1223, 1291, 547, 4049, 23563, 267, 18363, 6634, 11874, 3010, 14367, 1913, 2451, 513, 4090, 776, 16563, 1851, 519, 2468, 334, 2394, 670, 25950, 328, 13264, 621, 17869, 1176, 269, 834, 12148, 267, 1346, 4145, 991, 5466, 269, 1809, 1413, 693, 519, 1761, 2640, 256, 6056, 827, 1007, 21769, 267, 6626, 3914, 267, 8476, 2533, 10590, 3571, 15131, 7948, 1405, 581, 8659, 780, 2026, 2395, 5293, 267, 32422, 6933, 730, 1851, 11655, 3823, 2009, 2242, 1813, 547, 519, 32421, 269, 3509, 6829, 10761, 267, 2943, 930, 3771, 321, 1819, 31536, 542, 4250, 532, 4389, 10531, 3007, 689, 661, 266, 5234, 269, 11531, 267, 670, 25950, 328, 24389, 593, 15388, 23492, 2994, 267, 29681, 540, 22745, 1010, 1378, 14679, 14693, 780, 3080, 1554, 267, 13357, 13351, 950, 661, 22065, 338, 1062, 11124, 513, 5634, 1350, 3558, 267, 20392, 6213, 3593, 3877, 2228, 17303, 269, 4014, 16425, 6439, 1881, 267, 3441, 1852, 2968, 2556, 269, 5398, 3972, 5951, 1042, 267, 3056, 547, 1857, 22987, 540, 744, 878, 517, 781, 15752, 543, 7207, 780, 8450, 532, 713, 267, 670, 25950, 328, 7691, 1945, 4105, 269, 27919, 20974, 1229, 7494, 1282, 2208, 27513, 1206, 899, 891, 269, 4197, 707, 5304, 781, 12194, 543, 6788, 5280, 1628, 6793, 4296, 267, 5807, 14017, 5103, 27644, 6381, 269, 1635, 14344, 519, 3390, 16175, 267, 11589, 26845, 25442, 569, 267, 543, 9621, 4824, 28863, 267, 744, 878, 517, 7930, 1036, 7134, 1454, 540, 519, 4503, 2666, 780, 19602, 267, 6273, 676, 713, 10071, 267, 8230, 10202, 3323, 1565, 8193, 547, 1711, 5150, 3156, 5128, 267, 17935, 547, 3565, 9797, 547, 2104, 6639, 7835, 269, 1656, 865, 267, 1142, 1915, 4121, 3407, 4245, 689, 744, 878, 517, 781, 11601, 521, 15676, 267, 7311, 873, 30082, 538, 741, 2729, 269, 1358, 6956, 602, 1169, 2962, 1185, 6547, 267, 3450, 8090, 2482, 6456, 1369, 2591, 267, 543, 3743, 5647, 1500, 3356, 4264, 543, 14785, 585, 3025, 3238, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2995, 721, 811, 827, 744, 878, 517, 781, 2487, 11601, 540, 513, 2442, 5545, 13447, 8743, 7566, 2754, 888, 296, 1810, 1405, 723, 909, 3562, 15082, 1344, 607, 3425, 798, 269, 2705, 267, 2687, 547, 2487, 3377, 267, 610, 6625, 16904, 27333, 9715, 476, 7906, 260, 540, 8843, 538, 29534, 8743, 7566, 2754, 552, 266, 630, 324, 7132, 1040, 519, 4308, 729, 4502, 795, 6853, 476, 1015, 5479, 18121, 11011, 332, 1040, 552, 266, 568, 513, 13564, 10706, 540, 1272, 18294, 267, 30978, 781, 4102, 2680, 2359, 2754, 269, 621, 568, 835, 540, 519, 4102, 8743, 7566, 5867, 538, 30978, 609, 513, 6538, 540, 936, 476, 3374, 2929, 10805, 3755, 269, 519, 11601, 568, 4397, 547, 948, 4228, 610, 6625, 781, 1870, 538, 519, 9913, 2872, 267, 9148, 532, 922, 4540, 2238, 538, 1239, 4015, 543, 2923, 3892, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 1015, 281, 10435, 5020, 31418, 1512, 281, 29955, 4658, 2060, 5262, 2159, 625, 6182, 785, 4173, 2125, 692, 5331, 596, 2648, 5986, 267, 855, 835, 1554, 596, 10413, 707, 1688, 543, 1265, 621, 2182, 547, 14299, 5388, 610, 3575, 5820, 269, 1411, 1869, 1616, 547, 3434, 707, 5172, 6980, 267, 855, 2241, 4247, 1631, 1745, 4101, 269, 901, 568, 1018, 930, 1004, 1995, 950, 789, 723, 8373, 1210, 741, 3946, 1813, 547, 2564, 2175, 899, 12263, 610, 7063, 269, 1358, 1522, 6560, 609, 4948, 2238, 267, 1256, 1945, 607, 2596, 607, 8860, 11922, 780, 6624, 11922, 616, 4443, 547, 946, 952, 649, 24807, 873, 883, 4130, 4773, 1572, 834, 3033, 11922, 2668, 1452, 6263, 11353, 5305, 10366, 543, 12906, 553, 602, 3986, 938, 1426, 269, 1717, 267, 585, 1004, 609, 3908, 1688, 4222, 610, 3350, 267, 2757, 2409, 540, 8860, 11922, 1223, 581, 7543, 269, 5565, 26370, 20836, 619, 267, 799, 991, 513, 6109, 17945, 543, 6266, 540, 7432, 1379, 267, 1831, 24858, 9465, 3079, 540, 5363, 2645, 780, 3086, 1577, 781, 1589, 827, 875, 713, 3390, 5540, 1004, 945, 946, 2371, 585, 16392, 5301, 269, 2368, 11570, 7048, 593, 1978, 11922, 547, 948, 4383, 1928, 267, 2569, 2566, 267, 610, 2087, 3207, 269, 1403, 789, 3112, 3362, 5965, 891, 2067, 14319, 2933, 267, 789, 1590, 4096, 593, 1866, 610, 2285, 909, 741, 1582, 13282, 6296, 15587, 269, 2334, 3085, 1405, 3280, 4023, 2439, 2026, 17519, 31132, 267, 649, 666, 16540, 2081, 547, 1374, 8537, 19269, 602, 3025, 666, 2972, 1210, 910, 1256, 1346, 6849, 2168, 2591, 269, 1635, 1620, 741, 9620, 267, 649, 666, 1711, 5499, 3435, 602, 3895, 7115, 267, 15683, 267, 543, 13784, 269, 2913, 781, 2263, 930, 3860, 8925, 1927, 2439, 12244, 5384, 281, 5994, 596, 616, 8888, 513, 1007, 1826, 540, 10786, 32291, 4481, 585, 1004, 609, 12263, 610, 1688, 7063, 269, 1548, 2934, 1131, 596, 1331, 286, 1215, 786, 891, 2242, 2232, 519, 7965, 5018, 4505, 286, 9523, 707, 6272, 543, 1865, 873, 609, 707, 15032, 269, 5457, 267, 1390, 18563, 1419, 2097, 689, 3206, 3544, 519, 4216, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 7985, 689, 12263, 267, 15790, 531, 15993, 6794, 267, 610, 1022, 824, 2783, 602, 2306, 2164, 538, 7411, 538, 7900, 4247, 609, 707, 3946, 267, 10786, 8860, 666, 3100, 899, 606, 4652, 7037, 1158, 563, 5475, 782, 267, 1034, 1688, 20836, 619, 2154, 1079, 26370, 5106, 6730, 666, 581, 2352, 547, 2490, 563, 763, 8177, 540, 1488, 9374, 543, 7435, 20070, 3753, 593, 2052, 10109, 529, 29283, 454, 6635, 9374, 543, 1688, 7063, 666, 2014, 1713, 9636, 585, 2043, 267, 7133, 741, 3232, 13467, 543, 2238, 269, 1280, 1346, 945, 946, 15267, 607, 513, 1797, 540, 5883, 741, 2589, 267, 891, 2175, 666, 723, 513, 1463, 1764, 593, 741, 4616, 6208, 269, 17290, 10688, 543, 32609, 614, 640, 949, 15641, 324, 741, 2702, 547, 5066, 10549, 610, 3640, 513, 10612, 267, 1247, 1928, 538, 519, 3946, 666, 1118, 8066, 610, 1210, 513, 11517, 6500, 2352, 563, 8601, 891, 2591, 267, 1082, 2490, 547, 15267, 585, 922, 1761, 1928, 8323, 3601, 269, 1306, 15267, 5170, 547, 2744, 6284, 607, 513, 16048, 1106, 540, 4244, 4915, 267, 621, 781, 1271, 547, 2015, 519, 2115, 540, 1346, 945, 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, 19663, 909, 538, 519, 2295, 540, 13019, 1258, 267, 11882, 267, 594, 2141, 2219, 1250, 620, 2742, 544, 831, 267, 853, 269, 27673, 21178, 269, 6307, 4400, 3427, 267, 729, 1175, 606, 8723, 1153, 538, 519, 2136, 2276, 269, 9741, 1705, 594, 917, 602, 621, 1131, 1831, 519, 12473, 10938, 540, 835, 540, 519, 1034, 29737, 1765, 344, 564, 554, 559, 13895, 1765, 788, 529, 3941, 540, 1250, 1272, 780, 301, 652, 1194, 1369, 1018, 17137, 1289, 519, 834, 288, 330, 1258, 27169, 2667, 5435, 2437, 938, 11537, 1153, 12406, 941, 2505, 5034, 676, 1053, 689, 2066, 519, 1390, 1533, 540, 11882, 945, 8179, 23274, 543, 4081, 23918, 269, 1306, 585, 803, 267, 594, 1336, 24176, 538, 606, 12691, 13395, 1719, 281, 8013, 19389, 13558, 269, 2334, 781, 1318, 267, 19389, 13558, 12544, 28031, 5652, 7328, 1141, 5171, 1810, 4870, 23534, 18616, 543, 3801, 547, 6060, 3853, 1247, 2458, 4575, 883, 1142, 824, 269, 898, 5916, 1079, 1919, 2673, 547, 1250, 2295, 281, 21494, 640, 543, 7619, 6291, 780, 3080, 12556, 995, 15489, 1554, 267, 938, 1153, 6896, 513, 17493, 19389, 13558, 29658, 547, 6318, 7482, 585, 513, 2199, 1426, 4871, 269, 3733, 2828, 543, 594, 23362, 9896, 909, 267, 9599, 547, 1397, 1055, 938, 1990, 1415, 1983, 543, 948, 1346, 538, 991, 269, 1284, 1185, 1100, 2856, 649, 1131, 4166, 3068, 513, 4161, 7429, 1022, 824, 780, 2026, 519, 6735, 12699, 909, 267, 865, 1705, 13253, 1063, 721, 543, 1776, 2319, 1634, 607, 519, 834, 289, 889, 1076, 5178, 1667, 1701, 1358, 941, 678, 3578, 1652, 15712, 945, 3576, 1169, 4316, 547, 22545, 741, 17837, 1055, 3666, 267, 1312, 12777, 543, 19562, 8271, 269, 769, 24794, 1051, 267, 789, 1522, 723, 3144, 19389, 13558, 513, 3787, 1932, 12517, 780, 7628, 519, 3803, 6474, 267, 3388, 3357, 547, 513, 2212, 950, 938, 5182, 6345, 2968, 1303, 22931, 538, 1010, 1378, 19389, 267, 6028, 1864, 7925, 547, 606, 4323, 689, 519, 15852, 2319, 269, 2060, 17500, 16846, 525, 267, 594, 798, 557, 5196, 519, 2361, 267, 9494, 1864, 689, 1978, 14710, 269, 1809, 267, 538, 3257, 865, 267, 594, 4503, 1852, 540, 1250, 1378, 19389, 543, 2366, 8885, 3303, 2718, 998, 519, 2011, 2509, 519, 5667, 639, 1051, 532, 4715, 2209, 27206, 2059, 519, 521, 573, 3894, 780, 306, 19488, 267, 9624, 17409, 543, 3154, 1186, 689, 519, 15624, 267, 594, 15354, 1159, 871, 546, 629, 538, 4395, 540, 9039, 824, 982, 2274, 289, 1258, 6276, 5128, 256, 8786, 267, 5990, 2274, 289, 1258, 6276, 30867, 25789, 15551, 10828, 543, 10583, 1587, 540, 938, 1360, 1378, 9872, 269, 1261, 6743, 1524, 693, 803, 609, 581, 332, 2224, 618, 267, 2693, 11842, 1946, 930, 4351, 2875, 4956, 547, 1118, 513, 6264, 13675, 20221, 3288, 21035, 25224, 5595, 780, 11742, 8604, 547, 3500, 607, 594, 588, 1563, 909, 693, 519, 14912, 22530, 541, 267, 1869, 1958, 1078, 538, 1250, 6505, 4544, 17891, 7890, 269, 589, 4090, 776, 16563, 8593, 936, 519, 15624, 1354, 21074, 532, 883, 887, 2130, 3365, 1021, 543, 1750, 619, 269, 1280, 2899, 267, 594, 4769, 1405, 2247, 1373, 519, 4099, 540, 3007, 267, 2523, 952, 621, 5921, 1818, 971, 513, 19416, 4137, 669, 22976, 780, 5804, 1287, 593, 267, 938, 2319, 5129, 609, 17105, 25525, 267, 23185, 676, 19076, 13824, 543, 519, 22406, 7772, 540, 2348, 7038, 539, 938, 22644, 539, 5304, 269, 1677, 3025, 781, 9983, 630, 10175, 23600, 1070, 649, 7153, 4619, 16124, 267, 19101, 519, 2140, 540, 13019, 1258, 27169, 2667, 5435, 32686, 1076, 17502, 1356, 29073, 780, 8269, 22162, 593, 602, 32219, 1554, 267, 594, 7691, 875, 26752, 594, 729, 547, 7390, 513, 1164, 1153, 602, 27838, 9322, 267, 10343, 267, 543, 23274, 1765, 16838, 538, 1945, 607, 530, 871, 344, 607, 19389, 13558, 269, 3776, 17636, 7012, 1405, 827, 10888, 610, 9561, 855, 2864, 8508, 938, 22464, 543, 4687, 17409, 609, 1866, 269, 1656, 3006, 267, 1175, 3006, 267, 602, 2164, 538, 513, 4960, 7237, 609, 28370, 24568, 713, 2013, 267, 3751, 6276, 5128, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 303, 28558, 513, 1279, 10855, 4845, 602, 3096, 782, 891, 1913, 281, 13019, 1258, 27169, 2667, 5435, 267, 2666, 267, 853, 269, 27673, 1700, 1805, 269, 6307, 4400, 3427, 282, 853, 269, 27673, 1700, 1805, 269, 6307, 4400, 3427, 267, 1533, 267, 11882, 282, 853, 269, 27673, 1700, 1805, 269, 6307, 4400, 3427, 267, 2197, 267, 2136, 2276, 282, 853, 269, 27673, 1700, 1805, 269, 6307, 4400, 3427, 267, 2749, 267, 13019, 1258, 267, 11882, 563, 306, 27542, 912, 1103, 519, 2749, 540, 13019, 1258, 267, 11882, 267, 799, 568, 538, 519, 2136, 2276, 540, 3013, 267, 972, 781, 513, 2027, 1153, 1572, 853, 269, 27673, 1700, 1805, 269, 6307, 4400, 3427, 267, 543, 713, 1153, 568, 593, 519, 2666, 538, 513, 1747, 1572, 519, 13019, 1258, 27169, 2667, 5435, 267, 1141, 3214, 689, 782, 936, 519, 3557, 540, 11882, 2097, 547, 1451, 543, 723, 1187, 1927, 14325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 343, 272, 11971, 272, 284, 24834, 9272, 2891, 13644, 371, 27447, 24662, 343, 272, 11971, 272, 8442, 2020, 2745, 2891, 272, 320, 257, 266, 257, 273, 321, 5602, 28744, 2891, 272, 257, 266, 274, 994, 18257, 692, 5814, 2979, 476, 1948, 21382, 376, 24662, 12255, 27730, 25060, 483, 454, 2745, 263, 11274, 8987, 276, 4917, 2745, 263, 11274, 263, 276, 11723, 19638, 19638, 19638, 692, 0, 258, 4855, 29358, 538, 15585, 730, 590, 9285, 26275, 3097, 258, 14597, 513, 15044, 5044, 568, 29352, 693, 930, 22141, 7164, 547, 596, 25656, 780, 258, 630, 328, 4318, 1421, 476, 271, 476, 272, 476, 273, 476, 275, 476, 276, 476, 277, 476, 278, 1522, 1831, 476, 275, 476, 276, 476, 277, 476, 278, 476, 271, 476, 272, 476, 273, 6393, 258, 4855, 519, 5934, 3693, 780, 258, 1411, 949, 8263, 1100, 26134, 6818, 538, 519, 5044, 780, 5035, 8827, 912, 825, 1948, 7711, 12407, 1003, 267, 513, 1592, 540, 8870, 454, 825, 1948, 7711, 8873, 606, 8870, 454, 825, 1219, 1265, 14737, 4311, 267, 1003, 2187, 1038, 3259, 815, 7003, 16325, 994, 1038, 585, 1775, 538, 1535, 9792, 10857, 2654, 910, 476, 272, 2187, 2018, 952, 1003, 5157, 316, 3436, 1003, 5157, 1341, 476, 272, 14158, 3546, 2132, 1003, 5157, 1341, 476, 272, 2639, 1038, 2132, 1003, 314, 271, 6540, 825, 1219, 1265, 14737, 11405, 4311, 267, 1003, 2187, 672, 453, 26319, 815, 7003, 16325, 994, 672, 14851, 3259, 10922, 476, 271, 912, 672, 453, 16596, 7183, 454, 672, 14851, 3259, 2652, 476, 272, 912, 672, 453, 16596, 1003, 314, 271, 2639, 672, 453, 335, 815, 476, 271, 454, 672, 453, 336, 815, 3259, 910, 476, 272, 454, 672, 453, 6112, 6936, 912, 672, 453, 14851, 533, 2652, 7117, 912, 672, 4848, 16596, 1003, 314, 335, 2639, 672, 453, 453, 13232, 815, 630, 335, 1341, 7117, 264, 1315, 476, 273, 454, 672, 453, 453, 331, 271, 815, 1003, 314, 335, 2639, 672, 453, 453, 331, 272, 815, 1003, 314, 13232, 2639, 672, 453, 453, 337, 271, 815, 1003, 314, 13232, 1341, 476, 272, 2639, 672, 453, 453, 337, 272, 815, 1003, 314, 336, 2639, 672, 453, 14851, 561, 272, 3436, 678, 272, 912, 672, 4848, 453, 335, 815, 4571, 1341, 476, 272, 454, 672, 453, 28432, 912, 672, 4848, 453, 336, 815, 4571, 692, 3698, 1292, 10031, 453, 338, 815, 8827, 4590, 13537, 834, 303, 21724, 257, 952, 476, 271, 2652, 521, 26098, 14737, 8443, 275, 267, 276, 267, 277, 267, 278, 267, 271, 267, 272, 267, 273, 8079, 3116, 834, 293, 9229, 4840, 13537, 834, 303, 21724, 257, 952, 476, 273, 2652, 521, 26098, 14737, 8443, 273, 267, 274, 267, 275, 8079, 3116, 834, 293, 9229, 5016, 13537, 834, 303, 21724, 257, 952, 476, 271, 2652, 521, 26098, 14737, 11405, 8443, 275, 267, 276, 267, 277, 267, 278, 267, 271, 267, 272, 267, 273, 8079, 3116, 834, 293, 9229, 4840, 13537, 834, 303, 21724, 257, 952, 476, 273, 2652, 521, 26098, 14737, 11405, 8443, 273, 267, 274, 267, 275, 8079, 3116, 834, 293, 9229, 5016, 10852, 4590, 0, 5228, 9779, 1104, 2608, 692, 258, 11512, 1018, 519, 1739, 3009, 1281, 281, 16733, 333, 1299, 630, 333, 910, 476, 272, 4297, 2652, 476, 271, 2020, 258, 3733, 2626, 912, 258, 6787, 562, 568, 1379, 540, 476, 273, 692, 258, 3733, 1073, 11437, 912, 258, 476, 1911, 271, 1299, 476, 18733, 272, 9847, 476, 271, 454, 258, 476, 9340, 272, 1299, 476, 9340, 271, 9847, 476, 9340, 271, 454, 258, 476, 6200, 271, 1299, 476, 1911, 272, 9847, 476, 1911, 271, 692, 258, 1284, 666, 1294, 519, 2063, 1297, 568, 2141, 4642, 267, 543, 519, 3604, 616, 1114, 2039, 689, 519, 2063, 454, 258, 568, 4957, 547, 4642, 267, 865, 952, 649, 616, 9236, 609, 476, 271, 267, 1797, 2407, 2039, 540, 562, 568, 524, 321, 6548, 547, 4642, 563, 258, 901, 1152, 4523, 950, 562, 5654, 899, 476, 1911, 271, 24222, 713, 1797, 562, 568, 1379, 540, 476, 273, 780, 3698, 1449, 10031, 453, 10139, 692, 11687, 4590, 0, 5228, 9779, 1104, 27661, 5228, 11346, 1104, 1535, 528, 692, 258, 3503, 513, 1982, 547, 23396, 9642, 543, 1256, 11353, 538, 606, 8870, 609, 607, 1906, 5528, 607, 2009, 454, 258, 630, 324, 3052, 1421, 3787, 476, 271, 543, 3787, 476, 272, 616, 2220, 11474, 267, 3787, 476, 273, 543, 3787, 476, 274, 616, 2220, 11474, 267, 543, 865, 593, 2020, 258, 14597, 476, 3953, 19229, 8870, 454, 3698, 23396, 302, 9536, 4415, 10214, 16325, 2187, 453, 15957, 300, 2532, 815, 3787, 2414, 4504, 2891, 18089, 6200, 18089, 6200, 18089, 6200, 18089, 6200, 18089, 6200, 4905, 5602, 453, 16838, 300, 2532, 815, 3787, 2414, 4504, 2891, 6200, 18089, 6200, 18089, 6200, 18089, 6200, 18089, 6200, 18089, 1015, 5602, 453, 15957, 301, 13246, 815, 1003, 1299, 9642, 300, 2532, 454, 453, 16838, 301, 13246, 815, 1003, 1299, 1256, 300, 2532, 454, 453, 15957, 301, 13246, 476, 815, 9642, 301, 13246, 24177, 476, 272, 454, 453, 16838, 301, 13246, 815, 1256, 301, 13246, 23645, 476, 272, 454, 453, 11133, 815, 9642, 301, 13246, 1923, 1256, 301, 13246, 454, 16596, 1003, 692, 3698, 1449, 10031, 13537, 834, 303, 21724, 257, 952, 23396, 302, 9536, 4415, 10214, 263, 4226, 2414, 4504, 2891, 18089, 272, 257, 4297, 2652, 3787, 2414, 4504, 2891, 6200, 271, 8442, 3116, 834, 293, 9229, 4840, 13537, 834, 303, 21724, 257, 952, 23396, 302, 9536, 4415, 10214, 263, 4226, 2414, 4504, 2891, 1911, 6200, 257, 4297, 2652, 3787, 2414, 4504, 2891, 18733, 18089, 8442, 3116, 834, 293, 9229, 5016, 11687, 4590, 0, 5228, 23030, 21698, 1104, 30741, 454, 5228, 21912, 8266, 318, 21995, 1104, 19219, 267, 21912, 8266, 454, 5228, 6581, 826, 1104, 6581, 826, 692, 258, 25956, 513, 1599, 547, 2638, 952, 513, 9352, 3529, 568, 513, 9352, 3406, 3529, 454, 258, 4937, 645, 4306, 4214, 267, 2451, 10922, 3597, 2999, 1318, 692, 258, 6271, 2856, 568, 547, 538, 19195, 29906, 519, 3529, 543, 2638, 519, 5044, 692, 3698, 568, 289, 4306, 20172, 2187, 453, 2381, 333, 267, 3193, 343, 815, 568, 289, 4306, 13900, 704, 20172, 994, 14851, 1295, 333, 2652, 8771, 912, 453, 16596, 8771, 454, 28432, 912, 453, 16596, 6936, 692, 258, 901, 786, 2132, 1295, 543, 3193, 1871, 540, 3529, 12082, 689, 3597, 6843, 454, 3698, 568, 289, 4306, 13900, 704, 20172, 2187, 14851, 3597, 2652, 7183, 912, 453, 16596, 7183, 267, 7183, 454, 453, 19197, 3597, 16000, 2652, 7183, 543, 3597, 16192, 2652, 7183, 912, 453, 16596, 3597, 269, 4486, 267, 3597, 269, 4486, 454, 453, 19197, 3597, 16000, 2652, 7183, 912, 453, 453, 2431, 14737, 267, 1318, 16655, 815, 568, 289, 4306, 13900, 704, 20172, 16192, 994, 453, 14851, 1318, 14737, 2652, 8771, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 453, 19197, 3597, 269, 4486, 13843, 1318, 14737, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 28432, 912, 4848, 16596, 3597, 269, 4486, 267, 1318, 16655, 454, 453, 19197, 3597, 16192, 2652, 7183, 912, 453, 453, 3847, 14737, 267, 2451, 16655, 815, 568, 289, 4306, 13900, 704, 20172, 16000, 994, 453, 14851, 2451, 14737, 2652, 8771, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 453, 19197, 2451, 16655, 3436, 3597, 269, 4486, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 28432, 912, 4848, 16596, 2451, 14737, 267, 3597, 269, 4486, 454, 28432, 912, 453, 453, 3847, 14737, 267, 2451, 16655, 815, 568, 289, 4306, 13900, 704, 20172, 16000, 994, 453, 14851, 2451, 14737, 2652, 8771, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 453, 2431, 14737, 267, 1318, 16655, 815, 568, 289, 4306, 13900, 704, 20172, 16192, 994, 453, 14851, 1318, 14737, 2652, 8771, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 14851, 2451, 16655, 3436, 3597, 269, 4486, 610, 3597, 269, 4486, 13843, 1318, 14737, 912, 4848, 16596, 8771, 267, 8771, 454, 453, 28432, 912, 4848, 16596, 2451, 14737, 267, 1318, 16655, 692, 258, 12989, 568, 513, 1207, 1375, 344, 1599, 454, 3698, 568, 289, 4306, 29758, 10212, 344, 20172, 2187, 14851, 3597, 2652, 7183, 912, 453, 16596, 6936, 454, 453, 19197, 3597, 16000, 2652, 7183, 543, 3597, 16192, 2652, 7183, 912, 453, 16596, 6936, 454, 453, 19197, 3597, 16000, 2652, 7183, 912, 453, 14851, 3597, 269, 4486, 13843, 3597, 16192, 269, 4486, 912, 4848, 16596, 8771, 454, 453, 28432, 912, 4848, 16596, 568, 289, 4306, 20172, 16192, 994, 453, 19197, 3597, 16192, 2652, 7183, 912, 453, 14851, 3597, 16000, 269, 4486, 3436, 3597, 269, 4486, 912, 4848, 16596, 8771, 454, 453, 28432, 912, 4848, 16596, 568, 289, 4306, 20172, 16000, 994, 453, 19197, 630, 10174, 16000, 269, 4486, 3436, 3597, 269, 4486, 264, 610, 630, 10174, 269, 4486, 13843, 3597, 16192, 269, 4486, 2187, 453, 16596, 8771, 454, 28432, 912, 453, 16596, 568, 289, 4306, 20172, 16000, 264, 543, 568, 289, 4306, 20172, 16192, 2020, 258, 4477, 704, 454, 3698, 1711, 289, 4306, 4415, 14737, 2711, 3891, 697, 263, 6783, 2187, 453, 26319, 26161, 815, 7003, 263, 6783, 994, 14851, 3259, 26161, 2652, 476, 271, 912, 453, 16596, 7183, 454, 453, 19197, 3259, 26161, 2652, 476, 272, 912, 453, 16596, 30741, 263, 6783, 314, 271, 7481, 28432, 912, 453, 453, 332, 1497, 815, 3259, 26161, 1315, 476, 273, 454, 453, 453, 10174, 815, 30741, 263, 6783, 314, 332, 1497, 7481, 453, 453, 10174, 16000, 815, 1711, 289, 4306, 4415, 14737, 2711, 3891, 697, 263, 6783, 11468, 332, 1497, 7481, 453, 453, 10174, 16192, 815, 1711, 289, 4306, 4415, 14737, 2711, 3891, 697, 263, 6783, 314, 332, 1497, 1341, 476, 272, 281, 7481, 453, 16596, 3597, 692, 3698, 1449, 10031, 453, 320, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 453, 10174, 815, 1711, 289, 4306, 4415, 14737, 2711, 3891, 697, 5416, 994, 13537, 834, 303, 21724, 257, 952, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 320, 815, 1496, 272, 267, 273, 267, 277, 267, 275, 267, 276, 2639, 453, 10174, 815, 1711, 289, 4306, 4415, 14737, 2711, 3891, 697, 5416, 994, 13537, 834, 303, 21724, 257, 952, 711, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 10174, 815, 30741, 263, 274, 994, 453, 27161, 273, 815, 30741, 263, 273, 994, 453, 10174, 16000, 815, 6843, 273, 454, 453, 27161, 273, 16192, 815, 30741, 263, 275, 994, 453, 10174, 16192, 815, 30741, 263, 276, 994, 13537, 834, 303, 21724, 257, 952, 711, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 10174, 815, 30741, 263, 274, 994, 453, 27161, 273, 815, 30741, 263, 273, 994, 453, 10174, 16000, 815, 6843, 273, 454, 453, 27161, 273, 16192, 815, 30741, 263, 274, 994, 453, 10174, 16192, 815, 30741, 263, 276, 994, 13537, 834, 303, 21724, 257, 952, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 10174, 815, 30741, 263, 274, 994, 453, 10174, 16000, 815, 30741, 263, 273, 994, 453, 27161, 276, 815, 30741, 263, 276, 994, 453, 10174, 16192, 815, 6843, 276, 454, 453, 27161, 276, 16000, 815, 30741, 263, 275, 994, 13537, 834, 303, 21724, 257, 952, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 10174, 815, 30741, 263, 274, 994, 453, 10174, 16000, 815, 30741, 263, 273, 994, 453, 27161, 276, 815, 30741, 263, 276, 994, 453, 10174, 16192, 815, 6843, 276, 454, 453, 27161, 276, 16000, 815, 30741, 263, 273, 994, 13537, 834, 303, 21724, 257, 952, 711, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 453, 10174, 815, 30741, 263, 274, 994, 453, 10174, 16000, 815, 30741, 263, 273, 994, 453, 27161, 276, 815, 30741, 263, 276, 994, 453, 10174, 16192, 815, 6843, 276, 454, 453, 27161, 276, 16000, 815, 30741, 263, 274, 994, 13537, 834, 303, 21724, 257, 952, 711, 568, 289, 4306, 20172, 264, 3116, 834, 293, 9229, 5016, 11687, 4590, 0, 258, 2098, 580, 313, 698, 23586, 454, 258, 634, 5569, 834, 5183, 24688, 3201, 23360, 7644, 5058, 257, 568, 2854, 538, 513, 1990, 580, 345, 698, 4806, 593, 513, 2016, 1297, 540, 9343, 899, 713, 281, 630, 9767, 949, 1616, 547, 4159, 713, 4806, 538, 513, 6378, 13944, 585, 1732, 1850, 2225, 994, 258, 623, 567, 589, 567, 670, 567, 715, 454, 258, 589, 623, 700, 590, 594, 594, 717, 454, 258, 962, 567, 594, 567, 681, 692, 258, 1656, 1287, 1224, 1899, 676, 1899, 281, 834, 5183, 295, 2793, 303, 11862, 2862, 294, 312, 7644, 4840, 258, 3503, 519, 3009, 602, 786, 1491, 513, 5569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 835, 540, 8103, 781, 5172, 2250, 1307, 281, 8384, 7641, 2982, 2439, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 1169, 1900, 540, 519, 1184, 267, 7713, 3388, 689, 519, 9238, 540, 1480, 5872, 547, 519, 14960, 540, 8613, 2029, 780, 1262, 3721, 476, 272, 281, 4855, 513, 27657, 5590, 4373, 288, 8613, 1305, 568, 513, 3926, 602, 10525, 3001, 2592, 543, 4992, 585, 9913, 5301, 269, 1411, 666, 1265, 891, 3457, 538, 1034, 5321, 267, 6306, 906, 267, 610, 1857, 5624, 899, 14060, 267, 13063, 267, 610, 7996, 2127, 780, 2414, 12398, 513, 8613, 1305, 1384, 265, 6733, 1472, 596, 585, 513, 14328, 4216, 609, 513, 5496, 630, 17141, 7893, 1063, 476, 736, 268, 2568, 6279, 25241, 958, 1916, 265, 634, 7641, 1522, 581, 15841, 593, 513, 3774, 267, 5116, 593, 513, 3349, 610, 15808, 267, 610, 1256, 3710, 883, 513, 4062, 540, 11647, 563, 265, 1403, 596, 1810, 1405, 1294, 513, 7641, 5612, 267, 2119, 6998, 2576, 7404, 952, 789, 917, 1141, 596, 666, 1265, 835, 780, 1262, 3721, 476, 273, 281, 13760, 5274, 19983, 17943, 4373, 6524, 649, 4685, 4514, 267, 1577, 781, 3382, 930, 1898, 1480, 2792, 1983, 1384, 265, 2878, 294, 22901, 902, 4995, 1879, 16042, 3425, 267, 621, 781, 22232, 547, 2161, 32597, 1210, 11913, 10291, 899, 834, 17098, 2437, 834, 15916, 2437, 610, 834, 20756, 1701, 901, 2337, 3715, 513, 7874, 3159, 563, 265, 2878, 292, 6614, 13555, 4995, 6034, 532, 707, 22401, 2509, 1776, 1268, 781, 4064, 568, 513, 1129, 540, 2463, 543, 3007, 269, 8347, 4509, 9543, 3750, 3346, 950, 15025, 609, 1866, 563, 265, 2878, 28694, 5678, 4995, 2142, 13533, 540, 707, 14302, 267, 11132, 7215, 267, 543, 17267, 269, 5901, 873, 17159, 543, 1930, 547, 1397, 3659, 17349, 543, 7789, 2032, 780, 3086, 267, 1394, 547, 4466, 513, 7641, 1397, 2439, 1262, 3721, 476, 274, 281, 7994, 513, 19305, 610, 20837, 532, 6796, 4373, 29552, 9055, 616, 13739, 539, 6786, 602, 10141, 1808, 1543, 267, 1247, 18297, 2533, 2709, 593, 24683, 663, 1569, 547, 1585, 3292, 780, 2414, 3442, 513, 8756, 610, 18297, 3028, 1384, 265, 2878, 25565, 7641, 932, 2335, 1564, 4995, 2422, 519, 6552, 1852, 630, 320, 1507, 1688, 18988, 3926, 264, 547, 6330, 998, 2139, 9055, 676, 10296, 519, 909, 270, 6658, 15561, 16181, 269, 1411, 1522, 991, 547, 4188, 5468, 610, 946, 513, 5094, 3926, 547, 1689, 11378, 630, 324, 3052, 1421, 18074, 11085, 267, 19215, 267, 3092, 12175, 9105, 585, 6351, 952, 2877, 2336, 265, 2878, 1805, 3195, 532, 7896, 4995, 3509, 2413, 7641, 338, 2097, 9280, 609, 2442, 18297, 8924, 899, 28923, 267, 670, 21343, 267, 8835, 11788, 11473, 267, 610, 18557, 266, 269, 1452, 5867, 2154, 4950, 14479, 543, 1419, 4125, 20478, 12375, 269, 1411, 949, 991, 547, 1711, 606, 2272, 610, 2845, 538, 1210, 4540, 22754, 780, 1262, 3721, 476, 275, 281, 8564, 513, 7641, 8058, 4373, 289, 12864, 998, 2139, 3681, 593, 519, 6074, 8756, 610, 18297, 3028, 547, 4584, 513, 1397, 602, 4690, 596, 780, 19522, 585, 8939, 513, 7641, 1397, 1384, 265, 2878, 5649, 2677, 18587, 4995, 16684, 24096, 786, 2285, 596, 606, 2856, 540, 1018, 519, 1397, 568, 827, 563, 265, 2878, 7049, 516, 595, 20975, 4995, 6828, 902, 899, 12416, 267, 18792, 267, 1414, 30235, 267, 610, 16897, 666, 948, 7522, 1524, 5079, 1759, 593, 707, 7375, 563, 265, 2878, 305, 520, 902, 543, 17352, 4995, 6744, 856, 16863, 689, 824, 13588, 547, 15378, 8560, 543, 2298, 780, 1262, 3721, 476, 276, 281, 3399, 654, 10248, 2659, 932, 4923, 7641, 8058, 4373, 306, 527, 20354, 267, 6001, 267, 543, 2972, 2439, 265, 2878, 8196, 519, 22647, 6513, 4995, 4964, 1404, 9706, 1021, 267, 3728, 268, 3453, 270, 4319, 785, 267, 610, 4320, 8060, 607, 5551, 563, 265, 2878, 3849, 3286, 23994, 4995, 11426, 1125, 4605, 4882, 895, 2298, 267, 5705, 527, 956, 267, 610, 8301, 1893, 2687, 547, 2123, 13283, 563, 265, 2878, 7476, 1290, 13025, 4995, 3400, 321, 16152, 267, 7017, 538, 267, 543, 1118, 3054, 693, 1753, 2439, 21206, 9669, 1384, 265, 2878, 6826, 21727, 995, 4995, 1403, 4687, 2230, 609, 1866, 267, 2307, 10479, 1354, 4657, 9055, 610, 14577, 5468, 563, 265, 2878, 12648, 6601, 6545, 4995, 6875, 942, 547, 12701, 267, 1847, 1472, 267, 543, 1964, 707, 4064, 21237, 563, 265, 2878, 8777, 720, 609, 11524, 4995, 9181, 519, 1397, 609, 8284, 13588, 267, 2671, 8369, 267, 543, 1628, 4296, 2439, 23558, 267, 1715, 31541, 256, 1411, 4312, 6707, 14478, 513, 7641, 1397, 593, 3047, 2439, 8855, 267, 2259, 2306, 3501, 269, 18461, 1863, 547, 4603, 267, 2307, 2055, 267, 543, 1451, 811, 827, 1480, 2528, 543, 2029, 269, 8080, 547, 938, 8748, 4541, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 19400, 513, 7641, 8058, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 6092, 5149, 281, 16199, 531, 23620, 538, 11470, 692, 1103, 938, 5051, 10562, 1158, 267, 621, 568, 1898, 547, 1174, 543, 5660, 2686, 3604, 267, 2523, 950, 621, 2501, 547, 1945, 607, 2123, 607, 15832, 269, 901, 1770, 786, 5490, 883, 519, 1523, 540, 968, 295, 531, 531, 23620, 892, 1369, 7332, 5708, 267, 3695, 922, 4644, 267, 10848, 267, 543, 6041, 538, 4207, 3332, 543, 2923, 269, 1284, 786, 4983, 875, 713, 2189, 24575, 540, 2648, 9356, 9099, 2418, 1247, 5466, 8471, 4798, 11541, 547, 782, 9458, 269, 1635, 2502, 609, 891, 6386, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 519, 4763, 1369, 7332, 2950, 543, 4161, 11475, 1419, 10419, 18050, 676, 13416, 2923, 780, 4089, 476, 272, 281, 25043, 540, 16199, 531, 23620, 692, 2414, 2253, 267, 1577, 721, 3715, 513, 13654, 1620, 540, 1018, 13054, 16199, 531, 23620, 1369, 519, 2796, 540, 7332, 5708, 269, 634, 2165, 968, 15595, 531, 892, 3294, 18922, 547, 968, 32016, 892, 610, 968, 11279, 24777, 2223, 23608, 689, 519, 20845, 267, 799, 14592, 1808, 4808, 12044, 5837, 2623, 585, 2616, 656, 12356, 630, 304, 584, 534, 476, 276, 281, 275, 1040, 1879, 4294, 547, 11509, 3347, 267, 16199, 531, 23620, 4016, 547, 1346, 4205, 1063, 1079, 2043, 945, 705, 728, 676, 9099, 3741, 3823, 10470, 1222, 267, 7365, 267, 543, 25055, 269, 1452, 3741, 11168, 2463, 267, 9844, 267, 16434, 344, 267, 543, 9319, 3771, 600, 630, 1721, 321, 5200, 264, 2238, 971, 607, 840, 3405, 1388, 3023, 780, 2005, 779, 1271, 547, 4063, 602, 12496, 540, 891, 3741, 949, 4268, 1851, 1114, 4529, 267, 3392, 338, 267, 543, 4525, 1369, 519, 2518, 7332, 2146, 269, 1306, 971, 267, 11269, 540, 16199, 531, 23620, 538, 5708, 1522, 8428, 1759, 593, 1367, 5380, 543, 2833, 269, 1717, 267, 693, 922, 4295, 267, 16199, 531, 23620, 11394, 547, 3895, 2318, 26007, 540, 15962, 3347, 16135, 538, 3838, 5132, 543, 8994, 2463, 780, 4089, 476, 273, 281, 10289, 15881, 2510, 538, 12634, 9085, 1299, 9012, 692, 28757, 4589, 543, 32349, 723, 13175, 6220, 16199, 531, 23620, 883, 741, 1568, 267, 4101, 2757, 5375, 21050, 525, 540, 11509, 9423, 269, 26358, 899, 968, 288, 13433, 3873, 2311, 7831, 892, 676, 772, 345, 2742, 808, 531, 531, 3291, 514, 556, 574, 2602, 5929, 6535, 10687, 6386, 998, 513, 7332, 7828, 267, 10223, 519, 2956, 540, 1920, 267, 2245, 267, 543, 5289, 2208, 1369, 15982, 12352, 269, 6684, 267, 2442, 8613, 3126, 971, 607, 968, 28012, 17018, 4302, 593, 519, 16217, 21961, 892, 2263, 519, 16082, 540, 6580, 543, 7365, 1369, 7332, 2950, 267, 15386, 3309, 3197, 10188, 2413, 1272, 1247, 4509, 741, 3909, 4978, 780, 4322, 6386, 1683, 3255, 585, 3988, 543, 13588, 547, 4497, 609, 8076, 28402, 540, 7332, 2833, 267, 5807, 6568, 543, 1620, 2066, 2686, 6302, 269, 5015, 267, 789, 2709, 3407, 4030, 883, 519, 2591, 5185, 676, 1762, 12356, 5275, 547, 3666, 2123, 13821, 609, 3909, 13800, 1107, 513, 6560, 1419, 15763, 538, 13416, 2923, 780, 4089, 476, 274, 281, 3493, 1112, 532, 11146, 543, 2271, 22715, 538, 16199, 531, 23620, 692, 3080, 8037, 2460, 540, 16199, 531, 23620, 568, 922, 8561, 593, 3929, 4276, 2864, 982, 2168, 16007, 607, 519, 5748, 585, 9434, 3347, 269, 16992, 3335, 1106, 2620, 7554, 3710, 2390, 3972, 267, 3838, 2418, 267, 543, 7214, 17356, 1354, 13197, 1022, 1106, 540, 2168, 25055, 269, 6270, 27047, 842, 5713, 711, 1152, 547, 27481, 9099, 3741, 855, 849, 2636, 5830, 547, 2263, 4244, 18817, 585, 3384, 8082, 543, 4655, 1369, 741, 2984, 780, 11101, 267, 16199, 531, 23620, 2488, 2230, 585, 6209, 7391, 1472, 4008, 5107, 267, 1379, 6384, 267, 543, 9844, 1369, 15982, 12352, 269, 1635, 5009, 2635, 2792, 543, 8994, 2463, 267, 891, 6386, 5000, 8902, 2078, 3631, 585, 1312, 7332, 543, 1875, 5336, 639, 3916, 9458, 7567, 780, 4089, 476, 275, 281, 19484, 8836, 20212, 10738, 16199, 531, 23620, 692, 2026, 5892, 5018, 267, 12496, 540, 9099, 3741, 666, 4268, 3648, 1851, 1114, 4529, 543, 4525, 269, 9182, 267, 26007, 540, 16199, 531, 23620, 538, 5708, 1590, 6330, 891, 10848, 5402, 547, 2057, 31328, 5739, 11475, 610, 3765, 10517, 6974, 532, 519, 2833, 540, 12790, 2950, 269, 1280, 3236, 267, 15061, 2853, 11342, 538, 1978, 7239, 1058, 711, 581, 1476, 3836, 609, 8471, 6788, 585, 782, 12356, 780, 310, 761, 619, 543, 15888, 1590, 2611, 26256, 714, 656, 540, 891, 21441, 267, 20678, 585, 4977, 2943, 8537, 28402, 540, 7332, 2729, 602, 11760, 519, 3638, 4763, 7915, 1369, 519, 4984, 269, 12056, 609, 2789, 5380, 6087, 3988, 543, 13588, 547, 1732, 10146, 519, 6946, 13795, 540, 7332, 2528, 543, 3961, 780, 6962, 1384, 7437, 6313, 519, 1523, 540, 16199, 531, 23620, 1369, 7332, 5708, 267, 713, 1770, 814, 25139, 1585, 3344, 4478, 2648, 267, 25055, 267, 543, 17035, 538, 4207, 6386, 269, 1635, 2502, 609, 891, 5931, 9691, 267, 1053, 723, 6591, 5813, 883, 519, 2081, 9099, 3741, 3337, 11509, 3347, 543, 3565, 547, 811, 7096, 24300, 540, 1480, 4276, 269, 11086, 267, 8508, 4763, 538, 9423, 27862, 938, 7104, 1995, 267, 8840, 1524, 7496, 1063, 4529, 543, 5807, 3152, 6568, 543, 8296, 585, 835, 1776, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15404, 32093, 9373, 22633, 609, 19109, 9369, 28690, 303, 1251, 543, 15850, 3502, 13242, 1240, 4728, 476, 1001, 277, 910, 717, 712, 5471, 454, 2026, 519, 1297, 540, 7332, 14666, 9683, 19109, 9369, 568, 2810, 267, 1004, 3238, 538, 5986, 3506, 543, 14060, 538, 19109, 9369, 4975, 3964, 513, 2486, 1572, 834, 298, 344, 9369, 16199, 531, 8416, 19109, 758, 2967, 257, 865, 602, 12356, 666, 723, 6015, 602, 519, 6980, 15666, 547, 9099, 14985, 269, 7201, 519, 10752, 540, 5771, 267, 930, 14666, 5749, 1405, 2111, 547, 2972, 1454, 19109, 9369, 11951, 1813, 547, 9993, 593, 1426, 2326, 269, 3414, 3246, 10300, 531, 19109, 9369, 11951, 543, 824, 2533, 267, 789, 616, 8600, 5545, 834, 25537, 582, 523, 20076, 257, 24756, 585, 12356, 563, 295, 531, 531, 1797, 834, 29729, 257, 610, 834, 11279, 24777, 257, 538, 12428, 269, 769, 6935, 547, 5986, 267, 519, 4110, 540, 7453, 1145, 15320, 4470, 593, 519, 2197, 610, 3148, 267, 855, 835, 6093, 1383, 11855, 568, 602, 9444, 20230, 6862, 4568, 666, 581, 1031, 563, 763, 2486, 729, 3964, 676, 5986, 1153, 11000, 3464, 267, 1279, 28004, 14060, 262, 26933, 267, 19174, 543, 1866, 269, 769, 4873, 267, 789, 786, 3180, 513, 5545, 11951, 5986, 1362, 1246, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 531, 531, 23620, 257, 607, 851, 540, 834, 11227, 1315, 7332, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 8265, 18875, 2528, 543, 2511, 256, 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 ]
[ 5800, 531, 269, 21213, 476, 1708, 273, 269, 21700, 4864, 476, 4962, 267, 476, 1708, 273, 267, 693, 281, 4179, 2517, 4178, 31677, 3128, 344, 336, 584, 534, 3820, 270, 286, 343, 284, 338, 8548, 664, 261, 344, 284, 338, 8548, 1497, 261, 330, 573, 284, 1691, 261, 338, 573, 284, 272, 454, 268, 476, 1691, 1325, 268, 3674, 571, 2672, 19207, 269, 634, 10513, 20845, 267, 3848, 476, 1704, 282, 15718, 520, 476, 11025, 269, 634, 2622, 781, 700, 17999, 20845, 5800, 531, 269, 21213, 476, 1708, 273, 269, 21700, 4864, 476, 4962, 267, 476, 1708, 273, 267, 693, 281, 4179, 2517, 4178, 31677, 3128, 344, 336, 584, 534, 3820, 270, 286, 343, 284, 338, 8548, 664, 261, 344, 284, 338, 8548, 1497, 261, 330, 573, 284, 1691, 261, 338, 573, 284, 1704, 454, 268, 476, 1428, 19300, 8811, 620, 5174, 4157, 327, 926, 476, 6872, 274, 277, 282, 3883, 476, 10602, 267, 16874, 603, 476, 7906, 269, 21213, 476, 1708, 273, 269, 21700, 4864, 476, 4962, 267, 476, 1708, 273, 267, 693, 281, 4179, 2517, 15711, 333, 1695, 2593, 11486, 4157, 327, 926, 281, 6872, 274, 277, 454, 268, 476, 1626, 13259, 24703, 918, 267, 10548, 2993, 10790, 267, 31670, 2006, 715, 8150, 269, 4197, 519, 946, 540, 8297, 336, 344, 1695, 630, 515, 2718, 1505, 1759, 593, 519, 20845, 543, 1185, 603, 264, 538, 519, 2126, 540, 2068, 281, 2079, 1759, 593, 535, 28999, 327, 620, 3620, 611, 603, 620, 21553, 600, 620, 5174, 4157, 327, 926, 269, 808, 20845, 18841, 372, 353, 611, 603, 2289, 476, 1001, 277, 282, 476, 1691, 630, 6349, 264, 476, 12739, 268, 13078, 454, 268, 476, 1704, 594, 3630, 29538, 10790, 267, 20961, 6789, 300, 267, 15011, 323, 17241, 269, 10417, 540, 6442, 320, 262, 538, 620, 29841, 584, 534, 281, 9099, 4915, 1935, 538, 7067, 2168, 4524, 269, 2271, 808, 5771, 2289, 476, 1001, 278, 282, 476, 277, 630, 6349, 264, 476, 2537, 268, 4375, 454, 268, 476, 1240, 2279, 604, 3291, 514, 27493, 267, 3143, 528, 664, 328, 744, 269, 634, 8297, 336, 344, 1695, 861, 597, 7288, 344, 344, 1695, 5289, 1505, 607, 606, 4244, 585, 4965, 2126, 269, 2405, 3438, 337, 808, 17502, 2233, 476, 1001, 277, 282, 476, 278, 630, 6860, 264, 476, 32076, 268, 30329, 454, 268, 476, 866, 1520, 2106, 1092, 589, 267, 16740, 5142, 594, 269, 6356, 4369, 540, 8297, 336, 344, 1695, 861, 597, 7288, 344, 344, 1695, 593, 2168, 2068, 2126, 538, 681, 807, 340, 11662, 269, 808, 2974, 327, 592, 3291, 514, 476, 1001, 277, 282, 476, 2190, 630, 6349, 264, 476, 21076, 268, 22001, 454, 268, 476, 736, 674, 611, 2993, 631, 267, 10609, 1515, 8643, 918, 269, 9615, 1353, 540, 8297, 336, 344, 1695, 861, 597, 7288, 344, 344, 1695, 2509, 31783, 630, 322, 8590, 19795, 1353, 264, 538, 17020, 541, 5590, 807, 8498, 267, 623, 2075, 583, 1530, 328, 570, 10224, 1016, 1673, 626, 2774, 267, 5548, 328, 5395, 323, 836, 8664, 269, 14863, 777, 652, 2271, 1763, 31379, 6184, 808, 476, 1001, 280, 282, 476, 273, 630, 6734, 264, 476, 14225, 268, 20385, 454, 268, 476, 2641, 1325, 13850, 858, 776, 631, 3041, 267, 13206, 756, 328, 21191, 267, 681, 573, 14833, 590, 269, 1696, 620, 269, 1234, 268, 15105, 8297, 336, 344, 1695, 281, 3102, 2079, 540, 8297, 336, 344, 1695, 1369, 1185, 603, 267, 4915, 267, 543, 5626, 5133, 269, 7433, 4843, 693, 281, 18619, 540, 519, 476, 274, 6113, 4139, 2051, 5979, 638, 1756, 593, 3955, 13694, 9099, 5525, 282, 5239, 476, 736, 1700, 2641, 267, 476, 1708, 271, 282, 32021, 21840, 267, 12868, 454, 268, 476, 2420, 20961, 541, 558, 631, 295, 267, 681, 1794, 8932, 2098, 288, 269, 6481, 27067, 1299, 1488, 7304, 340, 336, 344, 1695, 12891, 27691, 926, 344, 344, 1695, 269, 15536, 329, 11535, 281, 10713, 16951, 5771, 17111, 282, 476, 1001, 279, 0, 10890, 7304, 601, 730, 10866, 540, 5020, 8178, 539, 538, 5753, 609, 1520, 31734, 5754, 13630, 15577, 269, 4504, 808, 30287, 1763, 5398, 2657, 269, 476, 1708, 272, 476, 5400, 476, 1839, 282, 476, 1240, 263, 1704, 264, 296, 297, 454, 763, 2298, 540, 1272, 3390, 3459, 547, 581, 7118, 652, 569, 6594, 538, 519, 2034, 3368, 540, 519, 476, 736, 628, 2540, 269, 898, 1185, 8385, 1044, 1031, 607, 513, 21205, 585, 7893, 2157, 540, 1480, 1646, 538, 519, 7330, 543, 5375, 2342, 269, 2311, 1101, 267, 1152, 6662, 6724, 941, 12290, 267, 971, 607, 1570, 5370, 282, 2705, 267, 2663, 267, 16148, 543, 1875, 2173, 1468, 6724, 941, 3773, 267, 971, 607, 1072, 267, 5191, 267, 543, 8788, 269, 3683, 942, 267, 811, 543, 811, 3007, 814, 1044, 6976, 547, 519, 16148, 6724, 3823, 1022, 2298, 540, 1272, 4879, 269, 1520, 523, 6950, 616, 12214, 13421, 540, 9726, 1355, 5160, 3769, 538, 9546, 1372, 9807, 781, 8258, 267, 799, 1404, 606, 1271, 1909, 538, 5935, 543, 28068, 519, 1126, 781, 2199, 543, 11528, 3515, 540, 20237, 269, 1520, 31734, 29998, 15577, 4386, 1813, 547, 513, 3099, 540, 2188, 267, 971, 607, 18596, 610, 5312, 5563, 540, 519, 5580, 7929, 8778, 563, 2414, 2708, 1072, 4567, 538, 1453, 609, 20722, 1355, 1062, 29998, 15577, 3379, 609, 513, 1895, 540, 2635, 1453, 563, 21316, 2207, 24361, 306, 6730, 631, 24518, 7495, 306, 454, 763, 1353, 1895, 15538, 540, 1453, 7092, 689, 20722, 1355, 29998, 15577, 267, 713, 1373, 519, 1034, 1455, 5312, 2068, 540, 519, 5580, 7929, 8778, 269, 634, 1852, 1895, 729, 7768, 540, 1453, 11504, 21543, 1153, 630, 11779, 7124, 1070, 3119, 1153, 267, 1647, 1153, 267, 543, 1164, 1153, 269, 634, 1353, 729, 5340, 676, 1210, 519, 4132, 2657, 7726, 32666, 6261, 1861, 4813, 476, 2004, 8863, 304, 6261, 293, 268, 2004, 630, 6224, 304, 6261, 293, 2004, 1070, 799, 568, 513, 2489, 3483, 1382, 1907, 1759, 593, 2618, 6248, 4152, 950, 12570, 2168, 543, 2790, 1134, 5630, 538, 1453, 9907, 476, 276, 547, 476, 1240, 1296, 563, 2467, 941, 476, 6200, 4904, 856, 26830, 585, 519, 1449, 1895, 630, 7918, 6690, 543, 476, 5325, 8695, 1070, 1611, 2085, 476, 279, 269, 7830, 1296, 630, 337, 4474, 476, 276, 268, 1704, 1070, 15029, 476, 9083, 26830, 585, 519, 8060, 630, 2004, 6690, 543, 476, 7367, 8695, 1070, 1611, 2085, 476, 1015, 269, 6812, 1296, 630, 337, 4474, 476, 276, 268, 1240, 1040, 6184, 22658, 3604, 941, 1336, 1063, 1514, 8647, 4611, 689, 7180, 610, 3929, 1533, 630, 3918, 289, 1070, 1928, 543, 9636, 630, 21990, 1070, 543, 1920, 22122, 630, 15598, 1916, 14399, 7092, 689, 20722, 1355, 29998, 15577, 6542, 519, 4102, 11081, 538, 8171, 538, 519, 1739, 2127, 281, 7180, 267, 2489, 8226, 540, 1072, 267, 543, 2790, 1072, 269, 0, 29910, 267, 9823, 568, 513, 2189, 2749, 538, 519, 2136, 2276, 269, 12878, 2082, 593, 5147, 476, 1626, 267, 476, 9692, 271, 267, 621, 729, 8547, 676, 519, 2475, 9139, 547, 4196, 607, 519, 4182, 781, 3854, 269, 10801, 922, 1686, 267, 2101, 4566, 543, 1271, 2199, 543, 3084, 2621, 723, 1185, 513, 1713, 1764, 593, 922, 1374, 543, 2208, 269, 1677, 1174, 519, 4720, 540, 6115, 9823, 6214, 267, 621, 568, 1898, 547, 1413, 693, 519, 15415, 540, 2621, 602, 723, 8032, 519, 2749, 563, 9692, 271, 268, 634, 2475, 9139, 3964, 6115, 267, 9823, 607, 519, 4182, 781, 3854, 563, 3422, 274, 268, 2201, 4864, 476, 2764, 628, 267, 6115, 729, 693, 519, 21282, 540, 519, 6406, 7126, 11873, 609, 519, 4728, 593, 6115, 585, 22868, 543, 15213, 543, 3220, 563, 32354, 13162, 3751, 12789, 9538, 338, 11599, 968, 296, 5620, 513, 14134, 892, 4633, 269, 0, 1103, 329, 1722, 540, 519, 11667, 8229, 693, 519, 21015, 610, 1688, 1377, 666, 581, 3361, 676, 1022, 1463, 8194, 547, 519, 1858, 267, 971, 607, 513, 31555, 3196, 610, 513, 22725, 3130, 269, 898, 666, 849, 581, 3361, 676, 16625, 5163, 610, 1303, 1905, 618, 540, 519, 8229, 538, 513, 16876, 2230, 267, 971, 607, 513, 5641, 610, 10943, 842, 563, 1103, 329, 1722, 540, 519, 11667, 8229, 666, 581, 8995, 998, 513, 2168, 6514, 267, 799, 949, 1331, 4152, 540, 1688, 543, 21015, 4222, 267, 14815, 267, 543, 2039, 540, 5163, 269, 3958, 267, 606, 9196, 1449, 267, 971, 607, 606, 2473, 11920, 610, 18909, 267, 949, 581, 10288, 547, 6166, 519, 5868, 563, 8448, 1761, 3123, 540, 1688, 543, 21015, 1928, 1331, 15790, 531, 15993, 6794, 267, 4043, 514, 4345, 267, 543, 12263, 563, 21675, 585, 5945, 540, 519, 11667, 8229, 949, 1331, 1964, 267, 1928, 6527, 267, 2168, 3797, 267, 543, 5924, 10943, 842, 532, 269, 769, 4049, 2665, 267, 6391, 949, 581, 2556, 563, 763, 23567, 540, 5945, 540, 519, 11667, 8229, 5673, 593, 519, 10335, 540, 519, 5945, 543, 875, 3533, 621, 568, 5701, 269, 1403, 5701, 16425, 543, 14013, 267, 519, 23567, 568, 2356, 1434, 269, 0, 2662, 328, 680, 1662, 568, 606, 5945, 547, 519, 8405, 6091, 689, 4028, 4464, 543, 18807, 5163, 540, 519, 8405, 3361, 676, 513, 8194, 563, 763, 5945, 4386, 950, 707, 8405, 28478, 802, 1394, 543, 8521, 3533, 543, 3423, 1836, 269, 1879, 627, 328, 680, 1662, 4523, 267, 707, 12636, 536, 1742, 2250, 922, 3339, 2039, 540, 5163, 543, 949, 3614, 675, 519, 31175, 540, 707, 17818, 12636, 269, 901, 8405, 5945, 666, 3648, 3441, 519, 5885, 28587, 543, 6091, 538, 707, 8405, 269, 2755, 621, 568, 2356, 3361, 676, 15493, 15134, 16580, 1286, 10913, 267, 621, 666, 849, 2049, 607, 519, 1267, 540, 2656, 28478, 6362, 540, 16945, 1071, 2120, 26055, 267, 3346, 5026, 899, 11176, 267, 543, 2168, 6057, 269, 13689, 593, 519, 10335, 540, 519, 7485, 610, 15237, 267, 519, 2589, 596, 1995, 786, 4268, 563, 1103, 329, 1722, 23548, 1231, 693, 8177, 454, 24445, 519, 28864, 20226, 454, 2662, 328, 680, 1662, 568, 1034, 4122, 11124, 607, 513, 1267, 540, 513, 4155, 6808, 8009, 543, 666, 1267, 538, 519, 1739, 912, 268, 634, 6091, 543, 28587, 5885, 519, 12636, 666, 581, 936, 3613, 4958, 3481, 610, 14324, 563, 268, 634, 25923, 1063, 519, 31175, 666, 4439, 613, 267, 15237, 610, 28230, 563, 268, 7638, 974, 3630, 324, 666, 581, 7142, 856, 540, 741, 3339, 2990, 267, 4227, 2039, 540, 5163, 563, 268, 634, 11983, 10260, 543, 8229, 5072, 1205, 21401, 267, 8886, 730, 543, 669, 12097, 563, 763, 3617, 31497, 2126, 568, 2189, 547, 1142, 627, 328, 680, 1662, 5945, 543, 568, 9859, 693, 519, 3119, 7988, 325, 17313, 9571, 1282, 519, 31497, 981, 269, 0, 289, 550, 334, 267, 7880, 9564, 610, 10897, 6373, 568, 513, 1826, 540, 12308, 9126, 602, 7153, 538, 3567, 950, 7262, 2528, 11579, 3603, 5545, 2528, 267, 1141, 972, 729, 513, 1390, 2245, 540, 28277, 1210, 1152, 17234, 563, 2005, 814, 1896, 3096, 267, 689, 13936, 3694, 547, 24317, 12015, 20512, 267, 9274, 610, 5613, 269, 634, 7475, 540, 519, 9126, 666, 581, 13615, 547, 1711, 513, 6023, 610, 14656, 519, 9126, 563, 763, 27592, 585, 922, 5137, 3357, 689, 16114, 334, 5606, 14397, 267, 609, 519, 2832, 540, 10128, 968, 306, 27053, 623, 14244, 892, 4216, 1927, 609, 513, 17375, 12826, 543, 11308, 17180, 689, 5842, 7032, 267, 513, 29586, 6328, 601, 18133, 8645, 676, 717, 548, 9346, 543, 606, 14745, 676, 10491, 22966, 553, 563, 5978, 7664, 8507, 538, 513, 3625, 9102, 12730, 4806, 1818, 513, 19911, 531, 11551, 4704, 547, 519, 17981, 540, 14082, 6539, 29353, 1141, 519, 9329, 540, 28448, 19323, 3694, 7173, 9229, 269, 0, 1432, 568, 5124, 14691, 5678, 15017, 23911, 1893, 568, 513, 29858, 23066, 267, 14648, 267, 1843, 15129, 1164, 7400, 5752, 1893, 269, 4706, 1164, 7400, 3710, 2987, 1239, 3889, 267, 1927, 609, 6422, 17511, 543, 6422, 11006, 267, 1118, 621, 4998, 585, 21826, 13335, 4886, 543, 607, 513, 7097, 532, 610, 15441, 1893, 585, 8220, 4540, 3334, 269, 5124, 779, 13801, 267, 2653, 3562, 268, 16753, 16105, 7512, 31824, 267, 799, 24506, 3498, 5826, 3790, 269, 3525, 2737, 543, 15004, 616, 6462, 676, 5124, 267, 799, 11942, 1982, 22606, 640, 543, 3009, 19074, 563, 7659, 17972, 540, 5124, 454, 292, 6470, 547, 3009, 454, 290, 5317, 814, 2141, 1044, 513, 1950, 1641, 267, 1869, 267, 9226, 24019, 602, 8193, 666, 581, 2653, 269, 589, 4971, 799, 3340, 1950, 8193, 538, 824, 4654, 267, 621, 779, 17033, 513, 835, 2000, 10719, 1876, 538, 9226, 269, 1924, 267, 4947, 942, 952, 2576, 2055, 596, 1946, 9226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 525, 538, 20274, 269, 5637, 4031, 1185, 29070, 2360, 593, 7111, 2950, 267, 4611, 538, 7839, 2530, 540, 2244, 267, 2528, 267, 543, 1893, 780, 2862, 269, 19606, 540, 519, 4095, 1234, 32360, 2920, 630, 296, 6938, 2567, 17959, 543, 3038, 2888, 692, 28403, 1944, 519, 14286, 540, 2250, 21939, 626, 4507, 267, 11636, 6963, 619, 1369, 519, 13163, 540, 4095, 16457, 630, 289, 8656, 264, 23647, 585, 513, 1007, 1935, 10704, 1472, 1582, 3766, 4261, 766, 543, 2804, 1646, 269, 27439, 676, 30934, 3627, 7502, 1512, 267, 891, 3646, 19411, 730, 538, 519, 8574, 540, 519, 594, 6938, 538, 4873, 476, 4350, 275, 269, 2368, 1883, 14074, 540, 519, 957, 3769, 1384, 265, 8191, 1436, 585, 11031, 547, 1106, 741, 1378, 6608, 1759, 593, 11221, 5646, 15078, 543, 2854, 1526, 4801, 563, 265, 19372, 618, 540, 519, 4095, 10406, 540, 4065, 547, 3895, 15520, 4143, 21195, 543, 4654, 563, 265, 20520, 540, 519, 4095, 8551, 543, 27207, 8274, 547, 1489, 543, 8190, 7111, 6575, 543, 13492, 2504, 563, 265, 26198, 540, 21045, 3338, 547, 17174, 9562, 543, 29611, 540, 2417, 28286, 906, 780, 7656, 269, 13891, 919, 28259, 532, 519, 594, 6938, 281, 11773, 525, 543, 7799, 14591, 692, 4407, 1082, 9763, 519, 594, 6938, 607, 513, 1900, 538, 519, 1318, 4287, 267, 1866, 22309, 621, 585, 1585, 4128, 269, 4675, 13024, 11130, 602, 519, 957, 8120, 930, 2268, 540, 1852, 547, 7111, 6082, 267, 7175, 873, 547, 25580, 741, 11615, 267, 7794, 2146, 7554, 267, 543, 26016, 1125, 2757, 4529, 269, 11534, 7859, 1293, 1229, 602, 519, 594, 6938, 13684, 513, 14461, 2203, 540, 10350, 22522, 609, 3309, 17174, 9821, 267, 3768, 340, 569, 23163, 1978, 2516, 936, 1866, 267, 543, 8959, 547, 18113, 2232, 10296, 1514, 2152, 971, 607, 6710, 543, 1072, 13103, 780, 4353, 269, 8865, 5530, 281, 18937, 26953, 13780, 781, 15232, 2060, 519, 594, 6938, 692, 2414, 1732, 9414, 1312, 519, 1761, 2640, 543, 19363, 540, 519, 594, 6938, 267, 1577, 721, 4983, 519, 2013, 1353, 540, 519, 18937, 26953, 13780, 1107, 835, 540, 519, 4102, 543, 1034, 29245, 11031, 538, 519, 2136, 2276, 269, 21231, 11259, 547, 12561, 606, 594, 6938, 11156, 267, 519, 18937, 1690, 657, 5555, 9516, 621, 538, 476, 4350, 277, 1310, 8101, 12381, 941, 1500, 547, 13918, 2757, 5718, 3889, 543, 3375, 6194, 3157, 269, 3683, 942, 267, 2705, 267, 27025, 8351, 8057, 607, 2152, 1644, 547, 11758, 12302, 7526, 267, 4199, 2359, 267, 543, 6041, 3357, 547, 1769, 269, 1452, 2591, 20838, 519, 6988, 540, 7598, 1582, 3766, 4261, 766, 3800, 1256, 950, 3358, 547, 3514, 2189, 17174, 6381, 780, 309, 269, 12634, 20480, 540, 519, 594, 6938, 281, 744, 32054, 26647, 1375, 956, 543, 570, 8922, 874, 338, 692, 9213, 267, 5176, 562, 27197, 1296, 2094, 519, 15357, 618, 540, 519, 594, 6938, 267, 922, 9371, 5170, 547, 3337, 4207, 9840, 4478, 7111, 16285, 267, 16278, 267, 543, 4182, 20671, 269, 2755, 3356, 814, 6157, 1044, 1500, 538, 14027, 1582, 24148, 3853, 267, 3875, 9465, 2611, 269, 1280, 1383, 267, 5571, 13882, 1063, 10480, 518, 958, 6444, 11031, 543, 1533, 6608, 6414, 3823, 9431, 6392, 936, 6927, 971, 607, 11080, 267, 21259, 267, 543, 2825, 4027, 269, 3958, 267, 2055, 561, 5424, 7282, 875, 1655, 547, 3666, 5007, 7569, 585, 12477, 609, 4835, 13821, 585, 8112, 543, 13916, 538, 16706, 17174, 19988, 7060, 780, 6962, 1384, 8269, 22162, 2390, 519, 4095, 1234, 32360, 2920, 2488, 3407, 4030, 883, 519, 4720, 540, 5313, 3609, 2509, 7111, 4892, 543, 5713, 607, 513, 12576, 540, 1312, 519, 18454, 543, 22303, 11402, 2059, 713, 3460, 269, 1306, 649, 3136, 20678, 2509, 811, 12581, 3347, 1063, 7087, 6082, 543, 6626, 2486, 267, 1620, 519, 4245, 4121, 689, 2250, 2833, 3587, 2629, 538, 26655, 2104, 3664, 543, 4180, 4797, 2208, 585, 782, 3238, 6105, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 28779, 1977, 11595, 454, 9743, 656, 1715, 3840, 8648, 1655, 31805, 454, 301, 3139, 513, 7454, 13648, 1504, 585, 12096, 476, 1708, 274, 676, 5253, 1299, 29879, 267, 661, 831, 267, 543, 15439, 31204, 454, 763, 2278, 540, 17939, 19487, 7024, 609, 513, 4015, 540, 1434, 16519, 7308, 1606, 9567, 10346, 602, 18220, 519, 6891, 543, 5418, 9778, 540, 1744, 13741, 520, 454, 2026, 513, 1126, 267, 29615, 6511, 590, 1380, 2006, 6743, 4464, 547, 519, 9059, 540, 1744, 13741, 520, 9789, 2757, 6014, 1554, 540, 1964, 1765, 718, 3018, 269, 589, 1726, 25979, 942, 950, 1920, 543, 2828, 2097, 1927, 547, 6001, 267, 7938, 785, 267, 543, 11240, 538, 835, 1776, 779, 2754, 1282, 1930, 25804, 267, 21915, 531, 1944, 6980, 267, 1744, 13741, 520, 814, 1044, 13736, 782, 936, 519, 1158, 543, 2429, 1686, 269, 769, 590, 1380, 2006, 779, 1753, 267, 1287, 543, 1631, 267, 519, 1744, 13741, 520, 3349, 568, 513, 1298, 1359, 3196, 267, 513, 16138, 5109, 1747, 1141, 835, 543, 782, 616, 10950, 269, 898, 779, 606, 4316, 1169, 3018, 547, 3049, 519, 9997, 563, 10303, 2245, 9598, 919, 602, 519, 590, 30117, 568, 11603, 585, 29987, 267, 1744, 13741, 520, 5986, 568, 782, 827, 5100, 2553, 543, 3280, 3341, 269, 715, 739, 531, 11551, 267, 18241, 1292, 338, 899, 8431, 1299, 623, 727, 28699, 622, 645, 5142, 8208, 543, 32686, 2041, 779, 23448, 4211, 5142, 6853, 8000, 6737, 918, 1872, 601, 616, 15624, 268, 921, 6471, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 1234, 32360, 2920, 630, 296, 6938, 17983, 607, 851, 540, 834, 303, 27773, 13316, 1315, 7111, 1977, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 278, 269, 275, 20480, 585, 7827, 692, 7072, 692, 8702, 1394, 547, 938, 3408, 540, 14375, 1894, 256, 769, 713, 3184, 267, 649, 723, 1044, 7234, 519, 1523, 540, 1514, 5385, 1107, 519, 2856, 602, 3347, 1599, 1759, 593, 606, 796, 4944, 7505, 1062, 540, 12587, 543, 3790, 269, 1924, 2484, 267, 649, 4076, 14437, 827, 1018, 1514, 5385, 1797, 630, 278, 269, 272, 1070, 1114, 2010, 540, 15377, 630, 278, 269, 273, 1070, 543, 2188, 602, 666, 1860, 891, 8852, 630, 278, 269, 274, 1040, 3767, 267, 1577, 781, 4685, 883, 930, 1483, 8996, 6286, 540, 1620, 1514, 5385, 3069, 543, 1451, 875, 9301, 922, 4527, 666, 1291, 547, 2318, 2242, 538, 1312, 2123, 4205, 543, 6626, 6848, 3889, 780, 763, 5295, 540, 4197, 4317, 16510, 692, 5629, 649, 1174, 519, 3741, 540, 1514, 5385, 267, 649, 2744, 5813, 883, 1946, 1004, 13789, 607, 789, 798, 1369, 741, 3347, 269, 901, 1702, 2636, 721, 547, 5659, 3871, 811, 9691, 543, 4431, 9935, 269, 1635, 1373, 3222, 540, 519, 12587, 543, 3790, 693, 1404, 267, 649, 1831, 1732, 9280, 547, 6330, 1950, 6384, 543, 1628, 8902, 4296, 780, 28274, 4317, 16510, 7869, 692, 4131, 781, 1413, 693, 930, 6405, 2081, 1514, 5385, 4249, 856, 538, 1585, 8658, 543, 2015, 1761, 2994, 585, 5883, 891, 15377, 3927, 780, 305, 558, 4842, 17716, 454, 1103, 11509, 12352, 267, 2043, 1419, 4497, 538, 1942, 1532, 523, 24674, 9382, 950, 14045, 2436, 610, 711, 547, 1902, 942, 267, 1648, 267, 543, 4664, 269, 1452, 10526, 949, 4125, 10442, 3344, 971, 607, 3929, 1489, 267, 31070, 267, 2168, 25055, 267, 3838, 4690, 267, 543, 1256, 15889, 2640, 899, 2883, 6617, 269, 1879, 972, 568, 606, 19261, 1063, 9228, 12587, 543, 3790, 267, 835, 7649, 1522, 1745, 3144, 5413, 540, 610, 27025, 30829, 267, 5732, 3056, 547, 4655, 610, 2078, 21324, 780, 3412, 6473, 281, 1677, 2226, 11466, 538, 11509, 3347, 267, 5781, 5968, 609, 707, 7649, 827, 1142, 824, 781, 2115, 543, 6788, 269, 3550, 602, 1312, 6105, 1745, 12595, 543, 15874, 676, 9846, 5356, 1489, 267, 19015, 267, 543, 15754, 269, 11270, 1227, 15260, 612, 519, 3666, 540, 12587, 543, 3790, 538, 707, 2078, 267, 1818, 11941, 607, 2556, 547, 3895, 8994, 9547, 780, 293, 12188, 4721, 454, 13436, 547, 11509, 3347, 267, 17052, 849, 7500, 593, 513, 1062, 540, 2285, 7146, 2389, 820, 269, 1717, 267, 1317, 2828, 3335, 2671, 1447, 15982, 7554, 982, 11509, 4891, 267, 519, 12587, 543, 3790, 2404, 609, 11505, 4043, 547, 1445, 811, 593, 31070, 267, 3972, 267, 3838, 2833, 267, 543, 3929, 15418, 269, 1955, 4472, 1734, 538, 11505, 15377, 666, 1267, 538, 4606, 540, 32659, 610, 10714, 267, 799, 949, 6038, 2144, 1712, 519, 6125, 1063, 2828, 780, 3412, 6473, 281, 715, 4669, 675, 707, 17052, 676, 8362, 6947, 267, 3246, 3929, 1489, 267, 543, 10283, 538, 2238, 602, 3142, 7772, 547, 1312, 596, 543, 707, 2828, 269, 25506, 602, 3025, 814, 2189, 9342, 543, 12755, 282, 11441, 585, 7862, 538, 4758, 543, 8391, 2864, 982, 5329, 6060, 23939, 269, 13667, 547, 6536, 9758, 4296, 3710, 593, 3972, 267, 2463, 267, 543, 25262, 640, 780, 13480, 2897, 18868, 454, 12892, 5385, 3069, 11498, 3564, 2123, 3347, 547, 3318, 5468, 607, 1134, 269, 31740, 4749, 6218, 741, 960, 5054, 1759, 593, 2188, 899, 2816, 3354, 267, 13180, 267, 3255, 585, 2208, 267, 543, 11215, 2359, 269, 1403, 5520, 13498, 513, 3668, 540, 14619, 610, 9698, 538, 891, 2127, 267, 27907, 543, 7607, 949, 7985, 267, 11874, 18363, 2949, 10721, 1967, 780, 3412, 6473, 281, 8073, 513, 2318, 9036, 2528, 676, 5009, 1930, 2792, 267, 3024, 532, 9441, 7418, 267, 543, 5807, 513, 2631, 540, 2146, 1851, 2319, 2818, 269, 11559, 5571, 5955, 543, 2232, 4145, 16425, 547, 2327, 5520, 1745, 4862, 543, 6462, 269, 20644, 8013, 23269, 267, 2640, 267, 543, 13120, 16548, 547, 6542, 7071, 585, 2182, 960, 543, 11428, 780, 289, 5802, 518, 5081, 13926, 23113, 454, 7661, 267, 1514, 5385, 3069, 666, 948, 721, 1174, 3677, 6848, 2152, 1644, 547, 1379, 267, 17979, 267, 543, 8635, 269, 7010, 540, 15746, 1419, 7048, 593, 21376, 14778, 540, 2200, 543, 5383, 267, 31328, 9979, 540, 6710, 267, 7130, 267, 543, 30886, 269, 1635, 6313, 891, 3270, 998, 513, 7828, 540, 1514, 5385, 267, 649, 666, 2253, 547, 5431, 519, 7293, 4229, 693, 1404, 543, 960, 2509, 24905, 1782, 873, 780, 3412, 6473, 281, 5917, 11229, 585, 4507, 543, 2853, 602, 3895, 1514, 5126, 267, 13784, 267, 543, 12581, 1569, 547, 2200, 269, 8081, 3906, 6131, 547, 8396, 1154, 11528, 31716, 543, 7586, 4328, 26173, 9739, 269, 3447, 622, 3054, 543, 1866, 827, 3140, 543, 4207, 3029, 540, 15746, 267, 8362, 2324, 547, 4161, 12886, 543, 28639, 1369, 707, 12106, 540, 3310, 780, 6962, 454, 2026, 649, 4312, 8268, 538, 713, 3184, 267, 1514, 5385, 3069, 2488, 3407, 4030, 883, 1480, 2623, 543, 5872, 269, 1635, 9301, 519, 1909, 540, 12587, 543, 3790, 538, 5935, 938, 3347, 267, 649, 666, 11349, 3152, 6568, 267, 1620, 267, 543, 6043, 269, 5015, 267, 7311, 713, 5943, 547, 6626, 6848, 2152, 6087, 721, 547, 1198, 6209, 1689, 16135, 538, 3741, 540, 14619, 267, 9698, 267, 543, 8994, 4324, 269, 5901, 891, 2093, 538, 2247, 607, 596, 3136, 10188, 519, 1950, 1158, 540, 14375, 1894, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 11328, 26051, 9534, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4813, 532, 13218, 2580, 834, 274, 269, 15043, 8155, 2580, 834, 275, 269, 21073, 2580, 834, 276, 269, 1230, 845, 640, 2580, 834, 277, 269, 8061, 4800, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 278, 269, 4317, 5385, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 278, 269, 272, 269, 9502, 540, 1514, 5385, 2580, 834, 278, 269, 273, 269, 9537, 540, 1514, 5385, 2580, 834, 278, 269, 274, 269, 11790, 602, 3310, 1514, 5385, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 278, 269, 275, 269, 20480, 585, 1689, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 296, 1810, 1405, 899, 1250, 6379, 8630, 21968, 538, 519, 8378, 267, 855, 602, 3085, 1405, 4341, 856, 3478, 547, 917, 513, 2370, 4816, 945, 1745, 7567, 827, 741, 4567, 269, 1403, 649, 2911, 25473, 609, 824, 1131, 15515, 31908, 267, 649, 786, 4166, 8275, 602, 789, 723, 811, 22027, 982, 649, 1589, 269, 32695, 538, 513, 2147, 2990, 2337, 547, 1118, 721, 1745, 3339, 585, 519, 1964, 540, 519, 942, 269, 1284, 666, 849, 1118, 2828, 538, 19421, 540, 2228, 15473, 593, 519, 5769, 563, 4131, 781, 1445, 593, 519, 3804, 12966, 2171, 1705, 711, 1831, 9176, 267, 6862, 1705, 649, 1831, 21933, 643, 1190, 267, 3170, 580, 4240, 267, 543, 7181, 20158, 585, 513, 2318, 6379, 1449, 269, 634, 1533, 540, 10761, 666, 849, 581, 2808, 607, 513, 3460, 267, 609, 1312, 6084, 3240, 512, 3089, 543, 20361, 19373, 639, 267, 855, 693, 519, 1439, 540, 519, 1554, 267, 649, 666, 1832, 938, 20169, 4816, 538, 938, 7916, 269, 2201, 9875, 2395, 267, 1577, 781, 2119, 547, 535, 3089, 713, 2370, 8004, 945, 9428, 909, 538, 938, 7181, 338, 543, 1810, 1405, 7340, 547, 972, 568, 4986, 4636, 609, 711, 15962, 519, 6379, 4805, 563, 19187, 6484, 543, 519, 1318, 1259, 540, 1272, 763, 1292, 851, 540, 938, 4761, 1062, 267, 938, 1560, 781, 4761, 1062, 267, 543, 519, 1560, 3743, 585, 519, 2504, 540, 519, 10399, 3743, 585, 8788, 267, 666, 1860, 938, 7099, 998, 519, 1426, 649, 8532, 269, 898, 568, 1655, 547, 723, 513, 7059, 2732, 267, 609, 3536, 5627, 11954, 16719, 267, 3043, 267, 5613, 267, 15060, 9761, 7408, 543, 267, 952, 2009, 267, 2898, 5180, 6980, 269, 898, 568, 1360, 1271, 602, 4235, 6266, 540, 12862, 663, 952, 2009, 267, 1577, 781, 3802, 1169, 1554, 13977, 3764, 538, 519, 4195, 2011, 269, 1452, 786, 1118, 596, 1745, 1732, 267, 543, 596, 786, 849, 581, 2111, 547, 10110, 6171, 667, 274, 267, 799, 568, 1271, 563, 2710, 711, 23868, 938, 7649, 689, 938, 1272, 27078, 8271, 2942, 4555, 1118, 621, 2653, 585, 721, 543, 938, 4891, 547, 1745, 16934, 689, 938, 2729, 269, 2913, 781, 2119, 713, 29596, 2628, 3007, 1729, 2671, 938, 4030, 543, 4555, 609, 1864, 269, 1403, 938, 7649, 9397, 1524, 538, 938, 2078, 267, 596, 949, 1869, 2243, 2436, 621, 729, 513, 1434, 3375, 547, 723, 519, 4816, 286, 1403, 649, 616, 711, 2111, 547, 1930, 1360, 1134, 267, 649, 949, 849, 3343, 519, 5796, 540, 513, 3318, 269, 1411, 949, 849, 581, 5461, 538, 912, 268, 476, 280, 3992, 4245, 585, 3237, 454, 268, 476, 1556, 12085, 547, 3680, 9861, 21250, 656, 454, 268, 476, 1015, 12085, 2659, 12624, 781, 4107, 3204, 4958, 6168, 3502, 9861, 19612, 6969, 17510, 454, 26524, 543, 4267, 827, 5214, 6484, 454, 16391, 545, 6484, 568, 11543, 811, 543, 811, 2244, 1851, 2413, 18046, 267, 607, 519, 2344, 568, 5051, 13856, 676, 13572, 3536, 267, 6659, 609, 10991, 18168, 610, 13851, 602, 19753, 2821, 547, 2860, 267, 8377, 267, 17441, 2042, 543, 824, 3978, 3676, 269, 1717, 267, 1360, 1906, 540, 1346, 945, 2097, 538, 4395, 540, 519, 588, 8712, 1174, 4010, 1018, 519, 2165, 834, 16955, 257, 610, 834, 321, 1470, 257, 1797, 610, 875, 1114, 519, 5214, 3536, 616, 689, 519, 16220, 9168, 3283, 563, 1432, 1281, 5214, 1611, 888, 7212, 596, 5873, 10876, 602, 789, 616, 1732, 543, 8902, 267, 596, 949, 723, 2219, 267, 693, 835, 1448, 267, 538, 707, 2247, 281, 1548, 1281, 5214, 1426, 1611, 538, 519, 1439, 888, 16391, 545, 8105, 568, 606, 8733, 2504, 1062, 602, 8992, 543, 10597, 519, 9265, 267, 9979, 543, 6211, 2534, 540, 519, 3037, 269, 898, 568, 1759, 593, 519, 5934, 946, 540, 18168, 543, 14713, 2853, 3544, 519, 11396, 269, 769, 5214, 8105, 267, 519, 3484, 568, 606, 834, 6716, 1143, 257, 602, 7683, 556, 4926, 922, 1378, 2200, 585, 2030, 14713, 543, 3662, 9393, 787, 563, 5353, 2644, 2141, 2097, 689, 2907, 4540, 7031, 267, 18168, 616, 476, 1911, 260, 2067, 543, 616, 5833, 689, 2831, 267, 543, 11003, 568, 5833, 689, 10448, 11935, 563, 257, 16391, 545, 257, 1797, 602, 5214, 3536, 610, 2472, 616, 711, 6738, 610, 5833, 609, 18168, 267, 11955, 610, 824, 6464, 269, 1280, 1383, 267, 1418, 1227, 6659, 5017, 949, 581, 16271, 547, 1585, 3075, 5574, 267, 538, 2013, 540, 22074, 267, 855, 1152, 896, 519, 6297, 15569, 540, 14830, 12579, 543, 609, 6878, 602, 798, 711, 1860, 1480, 1072, 563, 763, 1152, 3017, 568, 602, 519, 18168, 616, 2067, 543, 602, 1100, 6757, 13851, 616, 1031, 267, 607, 789, 616, 4625, 27507, 540, 2208, 18168, 563, 6701, 5214, 3536, 476, 1911, 260, 2067, 888, 8253, 3388, 602, 568, 5214, 568, 476, 1911, 260, 2067, 267, 4849, 1141, 834, 1911, 260, 6915, 610, 5214, 257, 568, 7150, 593, 519, 6003, 267, 799, 1797, 602, 519, 9757, 2472, 941, 5833, 6923, 267, 689, 5214, 5452, 543, 2067, 18168, 269, 1809, 1082, 540, 519, 3536, 30630, 2270, 1152, 476, 4817, 260, 5214, 5820, 267, 519, 6967, 476, 276, 260, 949, 2874, 540, 3114, 18168, 607, 538, 519, 2013, 540, 8723, 2472, 563, 4002, 519, 10297, 540, 824, 2472, 621, 666, 2328, 602, 789, 616, 476, 3583, 260, 5214, 610, 476, 2004, 260, 6915, 269, 15020, 1906, 3536, 616, 476, 1911, 260, 5214, 267, 609, 1100, 10250, 540, 13851, 610, 824, 3114, 5820, 538, 873, 563, 6701, 5214, 5613, 543, 5388, 811, 14312, 543, 2635, 982, 6671, 3283, 888, 763, 1101, 20949, 568, 547, 2161, 834, 13433, 2580, 855, 1082, 6484, 1235, 1131, 17591, 596, 269, 1358, 616, 2808, 8902, 267, 1317, 789, 616, 711, 5701, 543, 6659, 609, 6757, 6878, 267, 855, 519, 9422, 1543, 568, 519, 1482, 538, 519, 2013, 540, 8723, 543, 5214, 3536, 563, 31367, 18168, 543, 13851, 798, 711, 2408, 547, 1860, 519, 9422, 7907, 540, 3536, 269, 769, 606, 2376, 3370, 538, 476, 1220, 280, 538, 519, 1977, 4750, 540, 11916, 12594, 267, 6484, 1235, 616, 540, 519, 6644, 602, 972, 568, 711, 2943, 2614, 2963, 602, 5567, 1131, 581, 4299, 676, 971, 2208, 21187, 269, 5047, 267, 930, 6484, 1235, 3494, 602, 930, 26947, 5701, 5613, 610, 5388, 666, 581, 607, 2635, 607, 5214, 3283, 269, 1452, 616, 930, 5613, 543, 5388, 602, 616, 10057, 1510, 13626, 269, 3509, 540, 519, 13851, 1031, 585, 3395, 543, 3395, 2611, 538, 519, 7387, 267, 1510, 7133, 519, 1543, 540, 891, 3536, 563, 2252, 789, 616, 5214, 267, 1281, 602, 1611, 789, 616, 711, 16220, 9168, 693, 782, 888, 763, 4719, 14842, 540, 519, 2472, 15333, 1597, 525, 519, 3741, 540, 5214, 1426, 543, 568, 10208, 539, 689, 922, 4214, 269, 634, 6042, 13684, 676, 519, 3864, 5742, 723, 15428, 713, 7333, 267, 865, 602, 267, 693, 1459, 267, 789, 1450, 2472, 5627, 15244, 540, 12526, 609, 476, 271, 269, 280, 260, 16220, 9168, 2609, 547, 581, 7396, 607, 5214, 543, 547, 581, 30630, 607, 971, 563, 3963, 616, 5214, 3536, 811, 7199, 982, 2834, 3536, 888, 16391, 545, 2472, 10929, 4074, 1190, 543, 1950, 5773, 267, 547, 581, 6870, 689, 6757, 6878, 543, 547, 1332, 6923, 1510, 3114, 7755, 12320, 1218, 269, 634, 942, 585, 13844, 891, 3536, 568, 2362, 267, 543, 519, 2504, 3790, 607, 1134, 267, 4061, 267, 1942, 811, 982, 741, 6671, 5973, 757, 563, 1103, 1840, 267, 891, 3536, 616, 3812, 593, 513, 1454, 4130, 4336, 267, 607, 789, 14016, 622, 543, 31358, 5488, 267, 799, 1797, 602, 6705, 723, 547, 3382, 519, 3790, 540, 6721, 1447, 5370, 982, 824, 12696, 269, 898, 568, 849, 519, 2601, 1946, 789, 1039, 513, 2362, 3902, 547, 519, 15808, 3902, 563, 6701, 5214, 3536, 689, 824, 2477, 2922, 888, 2791, 666, 4444, 5214, 2472, 689, 1022, 2707, 269, 1403, 789, 8452, 593, 519, 21684, 540, 519, 4936, 1014, 15945, 267, 621, 1797, 602, 789, 723, 5293, 519, 2565, 4064, 540, 519, 8128, 543, 4703, 9516, 609, 519, 13170, 540, 891, 7082, 2472, 267, 865, 789, 616, 2922, 563, 6701, 13851, 593, 2834, 2472, 711, 6569, 1282, 1216, 11067, 888, 19013, 267, 519, 3114, 18168, 543, 13851, 609, 799, 1082, 5613, 543, 5388, 616, 7142, 547, 1332, 666, 711, 1152, 581, 6569, 609, 1216, 267, 607, 789, 4283, 2901, 519, 7387, 610, 519, 17870, 543, 616, 28041, 585, 4616, 563, 294, 9512, 10399, 543, 13851, 616, 711, 1256, 6569, 676, 8143, 4393, 910, 14495, 610, 16171, 269, 1717, 267, 1697, 11067, 540, 5388, 543, 5613, 896, 513, 6908, 540, 4411, 1216, 543, 530, 31441, 873, 609, 513, 2973, 24621, 1354, 4616, 616, 1898, 585, 9427, 4551, 543, 824, 14471, 602, 949, 1439, 9734, 1072, 563, 6701, 5214, 5613, 543, 5388, 13820, 1512, 982, 6671, 3283, 888, 2026, 609, 519, 9422, 1543, 267, 972, 568, 1869, 1100, 3621, 2963, 547, 6961, 602, 5214, 2472, 1131, 581, 13820, 1512, 982, 519, 8912, 3283, 269, 1717, 267, 930, 4966, 3494, 602, 1210, 13851, 543, 23960, 519, 2208, 540, 5613, 543, 5388, 1131, 267, 1851, 824, 1919, 267, 1860, 519, 6492, 540, 891, 3536, 269, 634, 6492, 540, 5214, 2472, 3788, 267, 6038, 267, 547, 519, 7071, 540, 1142, 1367, 7082, 563, 1432, 824, 21140, 798, 596, 723, 827, 5214, 1426, 286, 1684, 596, 1589, 602, 5214, 1426, 568, 1175, 513, 6725, 4640, 610, 513, 2731, 6225, 2268, 2966, 547, 2149, 938, 1072, 286, 15681, 721, 707, 8369, 538, 519, 8292, 3296, 2630, 2336, 30475, 5253, 10357, 0, 763, 8783, 14012, 540, 20474, 24385, 340, 31782, 513, 8468, 547, 5000, 1053, 685, 1719, 538, 2257, 563, 300, 918, 23237, 267, 519, 8783, 14012, 540, 20474, 24385, 340, 267, 593, 11728, 30792, 11709, 822, 559, 13495, 1090, 630, 305, 664, 11312, 17072, 1070, 513, 3209, 10872, 547, 12954, 3214, 685, 1719, 538, 2257, 563, 307, 597, 1276, 4275, 653, 718, 328, 281, 2201, 11728, 267, 20474, 24385, 340, 12751, 10579, 631, 918, 23237, 5189, 11709, 822, 559, 13495, 1090, 630, 305, 664, 11312, 17072, 1070, 513, 3209, 10872, 547, 12954, 3214, 685, 15131, 538, 2257, 269, 898, 6663, 547, 2333, 3214, 685, 1719, 538, 4974, 13241, 5396, 630, 16631, 267, 5303, 267, 7177, 267, 543, 9119, 264, 538, 9344, 476, 277, 998, 476, 279, 269, 630, 23727, 1916, 14737, 8651, 918, 715, 3026, 327, 745, 267, 774, 836, 600, 3973, 333, 31730, 340, 267, 1323, 321, 559, 8575, 1127, 327, 623, 1195, 344, 600, 9926, 6062, 267, 543, 570, 597, 1276, 4275, 653, 718, 328, 26302, 631, 1323, 335, 1695, 12298, 941, 1851, 1346, 1459, 585, 519, 2680, 779, 6679, 16008, 693, 519, 623, 1952, 752, 584, 24734, 6554, 21989, 14451, 18520, 3427, 538, 918, 3430, 584, 269, 769, 1931, 547, 5000, 3214, 685, 1719, 538, 2257, 267, 519, 12751, 10579, 849, 530, 8491, 1055, 476, 1911, 5985, 2257, 543, 2979, 20682, 593, 15773, 540, 519, 1153, 2069, 8257, 269, 2201, 513, 10865, 4493, 267, 896, 1697, 15569, 267, 789, 1131, 4051, 10453, 538, 2257, 6901, 543, 6128, 1247, 15386, 2875, 13402, 2257, 2645, 563, 1839, 5186, 516, 8297, 701, 525, 786, 581, 6170, 593, 519, 6388, 540, 519, 10872, 267, 799, 786, 4217, 476, 1839, 32763, 10453, 11504, 1857, 3506, 269, 13536, 267, 519, 12751, 10579, 1558, 609, 519, 19920, 538, 519, 13460, 1141, 789, 941, 10647, 2257, 3785, 896, 519, 4287, 540, 519, 20485, 269, 11334, 689, 782, 936, 519, 1533, 945, 1185, 4951, 1719, 538, 2921, 851, 538, 519, 10872, 723, 4607, 2027, 2866, 865, 789, 949, 1865, 519, 3450, 2994, 789, 723, 1031, 865, 2484, 543, 2709, 10372, 585, 875, 547, 3136, 7598, 519, 10872, 563, 1103, 20474, 24385, 340, 267, 930, 476, 278, 1015, 13241, 4863, 2209, 723, 1044, 6074, 547, 4163, 856, 713, 1982, 779, 6901, 538, 2257, 543, 2979, 593, 519, 979, 269, 3958, 267, 789, 786, 1683, 5583, 547, 3214, 538, 9344, 476, 277, 998, 476, 279, 607, 789, 2347, 2596, 2257, 3785, 269, 0, 293, 31021, 538, 1453, 910, 1946, 798, 789, 2049, 888, 11947, 5210, 543, 18024, 1419, 28596, 535, 31021, 538, 1453, 269, 4256, 5920, 267, 2705, 267, 949, 849, 5815, 2242, 602, 616, 2921, 1747, 538, 519, 1560, 269, 9701, 649, 581, 12922, 540, 873, 888, 19400, 519, 7260, 281, 834, 24400, 519, 1318, 9656, 4840, 272, 269, 9537, 540, 5348, 322, 2100, 454, 293, 31021, 568, 513, 6727, 267, 23644, 267, 2110, 3856, 543, 21245, 2530, 540, 9637, 269, 898, 568, 3361, 676, 513, 5786, 538, 2634, 13526, 4288, 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 ]
[ 4019, 667, 11921, 779, 12853, 936, 1864, 269, 1577, 621, 1694, 585, 513, 7008, 540, 3764, 267, 1287, 27125, 267, 543, 1287, 2308, 519, 7904, 320, 2036, 547, 1491, 519, 6967, 7904, 553, 689, 1010, 3034, 21579, 13183, 320, 568, 513, 1134, 8153, 3662, 26519, 267, 945, 8255, 2725, 578, 344, 2494, 528, 4092, 3544, 540, 24611, 267, 11908, 267, 3081, 1762, 6539, 29181, 971, 607, 681, 755, 344, 616, 693, 4960, 540, 4742, 606, 2438, 269, 3056, 547, 513, 7771, 538, 519, 1297, 540, 2699, 1973, 2281, 267, 607, 1134, 607, 606, 15176, 4761, 1062, 563, 10527, 1360, 1762, 6539, 29181, 3112, 6023, 5010, 7904, 320, 6527, 1317, 540, 741, 4761, 1949, 543, 7904, 320, 2036, 532, 2223, 1352, 2829, 269, 968, 5629, 6539, 29181, 616, 827, 476, 273, 6550, 267, 596, 666, 960, 609, 707, 16943, 827, 1210, 2472, 899, 7167, 28588, 602, 3533, 19754, 7904, 553, 538, 827, 476, 1789, 3764, 3034, 305, 755, 344, 779, 2012, 814, 7283, 538, 519, 2011, 267, 855, 594, 993, 19914, 547, 2161, 602, 646, 779, 7904, 320, 6954, 693, 519, 2085, 540, 476, 273, 269, 901, 568, 1813, 547, 519, 1249, 602, 646, 11392, 2834, 15324, 6646, 1996, 7904, 553, 563, 302, 755, 18307, 553, 538, 9697, 16690, 625, 454, 763, 6604, 540, 513, 7904, 320, 23588, 538, 3032, 10125, 540, 2146, 2818, 2066, 519, 4182, 666, 581, 6225, 547, 519, 7314, 607, 1134, 607, 2199, 7264, 563, 10144, 971, 607, 853, 2329, 2274, 289, 16336, 267, 3984, 540, 519, 7991, 19949, 23093, 4751, 543, 28013, 540, 3875, 3486, 543, 3084, 19771, 593, 2146, 7314, 267, 4001, 2043, 875, 547, 9108, 6023, 543, 1521, 891, 535, 3894, 563, 28490, 596, 666, 6023, 519, 3032, 267, 596, 666, 946, 22521, 338, 2223, 1352, 8591, 269, 968, 26807, 569, 267, 1346, 2146, 7314, 945, 616, 1480, 324, 569, 16290, 547, 581, 838, 26359, 543, 6120, 1229, 543, 2016, 2877, 10074, 693, 519, 18915, 16758, 267, 616, 849, 2016, 7904, 320, 5574, 693, 602, 942, 3034, 9515, 5170, 267, 968, 2252, 596, 723, 513, 3032, 945, 568, 17237, 267, 596, 666, 2709, 1864, 13000, 547, 1832, 1864, 7038, 539, 1247, 596, 6299, 519, 1858, 3297, 519, 13105, 19059, 269, 634, 835, 3364, 649, 798, 711, 4363, 568, 3843, 547, 16833, 513, 1895, 3032, 538, 513, 24621, 1317, 596, 3580, 581, 8165, 513, 2112, 799, 596, 2461, 2693, 547, 6336, 3034, 5194, 4781, 568, 547, 20057, 548, 1019, 520, 558, 17675, 3618, 593, 519, 2127, 1141, 7314, 540, 519, 2146, 13793, 856, 563, 2108, 291, 9332, 558, 17675, 3618, 568, 2922, 585, 946, 593, 7314, 267, 543, 621, 19754, 7904, 553, 538, 782, 1272, 5933, 676, 13204, 7992, 873, 2223, 3220, 269, 14639, 670, 1993, 557, 267, 513, 11455, 17022, 4092, 538, 28631, 267, 12548, 563, 290, 831, 547, 595, 13224, 8000, 10633, 454, 1103, 1250, 2777, 267, 2185, 7314, 602, 616, 2973, 543, 1134, 3766, 3336, 539, 1852, 519, 865, 17304, 269, 594, 2015, 5356, 8865, 344, 267, 19375, 344, 267, 18200, 267, 543, 267, 1034, 5063, 267, 681, 755, 344, 2834, 3032, 7904, 320, 5574, 607, 513, 8797, 5092, 269, 1358, 2461, 1447, 2693, 547, 7985, 689, 1072, 2152, 1644, 547, 7904, 553, 607, 1134, 607, 1250, 1753, 568, 1863, 540, 15495, 563, 1607, 26804, 14415, 564, 568, 3177, 609, 7904, 320, 6604, 1256, 538, 519, 5162, 3275, 540, 4411, 543, 6777, 563, 2108, 294, 821, 616, 519, 2395, 540, 1236, 6235, 513, 3923, 547, 4688, 2724, 2223, 3220, 269, 16959, 6577, 269, 968, 2005, 1281, 711, 2339, 952, 596, 21078, 2901, 538, 570, 659, 5448, 610, 570, 2086, 320, 269, 634, 4027, 1996, 15495, 1058, 581, 2139, 782, 1032, 5180, 547, 2149, 707, 4620, 3034, 3891, 849, 2829, 602, 621, 568, 1898, 547, 4019, 519, 22521, 5265, 563, 24685, 1931, 585, 621, 547, 960, 5265, 267, 22521, 338, 1590, 3914, 519, 4620, 779, 2960, 2223, 3220, 269, 16959, 6577, 269, 968, 2252, 596, 1175, 4019, 621, 593, 519, 1283, 1723, 520, 267, 621, 19380, 922, 7145, 547, 6146, 7904, 553, 3034, 7069, 7314, 849, 1205, 5781, 609, 513, 17678, 8400, 543, 946, 519, 942, 547, 1413, 936, 741, 25151, 543, 2960, 585, 23053, 540, 7904, 553, 267, 2759, 7436, 267, 610, 561, 7927, 563, 288, 4575, 11576, 1438, 9537, 454, 10666, 2947, 2600, 540, 7314, 723, 606, 13027, 5114, 547, 7904, 320, 5829, 22521, 338, 267, 607, 829, 519, 1034, 18019, 16943, 8934, 527, 5505, 269, 634, 2589, 4268, 689, 513, 2699, 267, 28349, 16420, 593, 519, 1858, 540, 3498, 267, 547, 28338, 543, 519, 2960, 4742, 12933, 344, 563, 2690, 7314, 609, 11959, 610, 4587, 7314, 609, 4617, 4761, 1949, 267, 2911, 547, 707, 17022, 3823, 519, 1655, 2126, 585, 7904, 553, 602, 568, 13310, 2861, 602, 2882, 4028, 19840, 532, 2937, 15969, 547, 6146, 2937, 7904, 553, 563, 4913, 267, 1654, 1206, 1810, 1406, 2303, 17501, 7314, 609, 2458, 1513, 585, 7904, 553, 607, 789, 1223, 581, 693, 1981, 540, 3384, 3346, 27150, 269, 0, 2691, 621, 2501, 547, 10894, 1072, 610, 3170, 2530, 267, 1973, 4006, 7939, 568, 1419, 513, 1888, 602, 781, 521, 14988, 1441, 538, 12797, 540, 17811, 10203, 267, 15547, 13467, 267, 610, 519, 5767, 2732, 7678, 269, 1717, 267, 519, 3666, 540, 707, 1973, 4006, 5540, 3592, 1169, 2460, 540, 707, 1072, 543, 1134, 5630, 269, 10552, 4006, 267, 610, 7280, 267, 568, 519, 3119, 2707, 540, 1648, 585, 938, 1560, 781, 2281, 269, 1809, 899, 1082, 1919, 538, 1272, 267, 3666, 568, 1883, 269, 18320, 1454, 610, 1932, 2370, 7280, 666, 581, 5739, 267, 865, 938, 4703, 723, 2919, 606, 6946, 1062, 547, 1832, 7280, 2157, 1369, 513, 7522, 2039, 269, 901, 1062, 540, 7939, 3322, 513, 10347, 16799, 540, 10399, 267, 8219, 267, 543, 5955, 6127, 602, 4431, 29858, 547, 519, 1560, 781, 2479, 19145, 2115, 563, 2080, 781, 513, 6251, 1413, 693, 1946, 4509, 713, 3666, 568, 2629, 585, 11455, 1072, 912, 300, 797, 543, 10076, 2657, 454, 296, 3387, 531, 2331, 1973, 4006, 666, 1291, 547, 7099, 23638, 267, 29338, 267, 543, 1256, 19591, 2589, 269, 634, 2634, 568, 3810, 6213, 547, 7280, 2157, 282, 3976, 267, 4509, 513, 11931, 3761, 666, 1489, 6099, 2634, 1599, 543, 7099, 6617, 563, 2691, 1973, 4006, 2157, 10006, 267, 519, 18558, 13847, 7378, 547, 948, 29060, 7280, 883, 2281, 269, 3683, 942, 267, 3586, 1147, 2471, 666, 1291, 547, 7378, 4187, 267, 1141, 519, 2281, 1100, 3476, 4431, 3927, 547, 7378, 781, 10291, 269, 901, 17441, 7988, 28832, 666, 1287, 678, 21451, 856, 267, 7133, 824, 10399, 971, 607, 23280, 267, 519, 2566, 9449, 267, 543, 1256, 10285, 10399, 899, 21110, 543, 1322, 6856, 821, 563, 8256, 626, 1836, 1164, 1973, 4006, 543, 519, 3702, 550, 7378, 4187, 666, 1291, 547, 10894, 6794, 267, 513, 12440, 540, 2175, 602, 2333, 707, 1981, 540, 2295, 2068, 267, 8482, 267, 543, 1826, 476, 273, 3987, 269, 21344, 707, 1973, 4006, 666, 948, 11126, 707, 10307, 267, 5329, 621, 23832, 12347, 543, 4227, 519, 1981, 540, 891, 4713, 563, 30706, 5433, 602, 4571, 8584, 1123, 12158, 1793, 2794, 1310, 513, 24494, 12899, 286, 2334, 781, 519, 16154, 602, 5205, 513, 4006, 1164, 269, 7195, 2331, 1973, 4006, 2488, 5812, 1648, 2429, 519, 1554, 267, 4543, 596, 2057, 1346, 1164, 338, 543, 1970, 338, 602, 666, 4734, 596, 4743, 3170, 580, 4240, 563, 11947, 1973, 4006, 2157, 267, 2523, 693, 3781, 267, 666, 7519, 707, 3207, 3270, 269, 853, 762, 1973, 4006, 666, 5351, 538, 2620, 267, 29260, 3207, 799, 568, 2629, 585, 5042, 1599, 267, 4761, 1072, 267, 543, 2949, 21755, 563, 2691, 707, 1973, 4006, 568, 7123, 267, 707, 1560, 666, 811, 3927, 6633, 3170, 585, 1648, 269, 2201, 519, 824, 1688, 267, 7928, 26389, 666, 1291, 547, 3170, 4859, 267, 1818, 2597, 2359, 513, 4161, 563, 17746, 656, 4006, 26389, 666, 16401, 4761, 1599, 267, 1818, 519, 1560, 811, 11630, 547, 5563, 269, 589, 7059, 1973, 4006, 666, 1489, 513, 7347, 4761, 3210, 563, 5978, 1283, 476, 276, 4388, 585, 4227, 1973, 4006, 912, 272, 269, 667, 816, 707, 19719, 2336, 24823, 622, 10709, 3940, 2959, 543, 5924, 2635, 9600, 609, 1169, 7594, 547, 2569, 1973, 4006, 26389, 269, 1452, 5672, 1258, 19153, 948, 24644, 1973, 4006, 2157, 676, 23646, 519, 12536, 543, 10338, 540, 11950, 269, 661, 3052, 4062, 540, 4829, 609, 513, 2428, 7423, 610, 4062, 540, 547, 770, 609, 25636, 543, 13687, 563, 273, 269, 8617, 11644, 454, 16498, 2534, 2337, 2087, 7378, 8417, 267, 3850, 707, 1560, 547, 946, 7280, 811, 3927, 269, 13667, 585, 513, 3575, 540, 20659, 267, 4222, 2866, 267, 543, 8112, 5751, 563, 274, 269, 11197, 595, 3187, 966, 710, 3258, 454, 7804, 9722, 835, 29537, 540, 11945, 524, 3187, 16693, 538, 930, 1216, 513, 1906, 3764, 1354, 6980, 2523, 14254, 610, 1354, 4189, 1945, 6653, 267, 1166, 3430, 839, 519, 1671, 5224, 7280, 21782, 676, 476, 279, 268, 1789, 10065, 14168, 11360, 2336, 275, 269, 6657, 5800, 542, 6513, 454, 10214, 950, 4189, 3536, 609, 513, 1970, 22542, 267, 6712, 1852, 568, 1271, 269, 4258, 342, 707, 1426, 8499, 543, 1491, 513, 2736, 1354, 513, 2034, 4543, 547, 1577, 707, 14000, 10291, 6952, 909, 269, 14856, 1804, 13980, 666, 1869, 1291, 547, 1713, 4679, 538, 1973, 4006, 2157, 563, 276, 269, 631, 7159, 820, 631, 2313, 3336, 454, 2467, 616, 1082, 9360, 856, 972, 602, 9153, 547, 3666, 1973, 4006, 2157, 269, 769, 3662, 2090, 631, 7159, 820, 814, 1044, 3254, 547, 3648, 6175, 21883, 9830, 540, 7280, 543, 7378, 538, 607, 2370, 607, 476, 275, 2395, 269, 2368, 540, 519, 4128, 6198, 17228, 630, 18034, 631, 7159, 820, 264, 949, 4217, 1973, 4006, 616, 1813, 547, 519, 1739, 3334, 10778, 289, 9508, 25322, 1075, 753, 281, 23398, 17228, 2270, 7135, 1572, 12498, 25322, 1075, 753, 267, 799, 616, 2010, 540, 19729, 8192, 20249, 269, 29530, 25322, 1075, 753, 666, 3500, 1524, 519, 10338, 540, 11950, 538, 519, 9667, 1062, 267, 3056, 547, 811, 7123, 1973, 4006, 2157, 1310, 6980, 269, 1358, 949, 849, 2087, 7378, 8417, 563, 21691, 903, 30828, 281, 15316, 30713, 30828, 267, 1519, 30713, 21839, 728, 30902, 267, 666, 581, 1336, 538, 6198, 17228, 543, 891, 723, 1044, 1634, 547, 723, 31202, 8619, 2438, 2360, 269, 1452, 7135, 666, 948, 10038, 1973, 4006, 676, 5355, 7378, 21131, 543, 4227, 7378, 4187, 563, 12901, 9171, 1218, 281, 2052, 948, 2569, 19842, 2566, 543, 6553, 269, 18127, 6553, 543, 19842, 2566, 616, 2404, 609, 7378, 4187, 543, 15176, 7280, 10307, 269, 1635, 4227, 891, 2188, 267, 6198, 17228, 949, 18549, 1489, 1732, 1973, 4006, 1852, 563, 8802, 1637, 540, 8937, 26168, 281, 24021, 1382, 5267, 602, 6198, 17228, 949, 9797, 3310, 519, 5888, 543, 4763, 540, 519, 8937, 26168, 269, 589, 7059, 543, 3309, 8937, 26168, 568, 1271, 585, 1697, 8770, 10338, 543, 10307, 267, 1519, 519, 7939, 540, 1973, 4006, 563, 3849, 2194, 8328, 3601, 281, 2368, 6198, 17228, 616, 2808, 3082, 11077, 267, 799, 1797, 789, 949, 948, 519, 1560, 3082, 547, 2566, 267, 1519, 519, 2566, 2404, 609, 1164, 1973, 4006, 2157, 269, 1635, 4543, 519, 1560, 11883, 609, 2566, 267, 891, 17228, 949, 18549, 3565, 547, 1732, 1973, 4006, 7939, 563, 300, 7159, 820, 543, 824, 6198, 17228, 4196, 607, 513, 9621, 4781, 7258, 8192, 543, 6197, 10372, 607, 1657, 269, 11408, 2638, 609, 707, 4387, 950, 4946, 538, 1007, 9360, 563, 16352, 2635, 1973, 4006, 543, 7378, 2157, 1522, 3100, 899, 621, 779, 711, 4143, 547, 596, 855, 621, 2731, 568, 513, 13654, 2460, 540, 11455, 1072, 269, 26875, 2358, 713, 3666, 666, 1291, 547, 4824, 1648, 267, 7099, 267, 543, 2949, 1134, 5630, 269, 0, 15507, 532, 585, 10298, 454, 14722, 269, 667, 1392, 269, 4634, 22730, 269, 2353, 616, 2324, 593, 519, 17794, 8127, 1966, 269, 2290, 10196, 11827, 513, 15972, 269, 898, 20950, 1930, 593, 519, 5836, 6989, 269, 23193, 8127, 7669, 3330, 269, 589, 13278, 2006, 512, 13903, 593, 519, 15972, 269, 898, 32195, 267, 9505, 1154, 538, 1022, 17794, 8127, 563, 291, 1392, 6968, 17794, 8127, 269, 1358, 3180, 19194, 269, 1358, 616, 1572, 17794, 8127, 968, 1457, 9812, 1848, 634, 3804, 568, 547, 7001, 607, 1082, 17794, 8127, 607, 2009, 269, 3509, 17794, 8127, 723, 1044, 9575, 538, 713, 1259, 563, 1607, 15972, 25135, 9505, 547, 6952, 17794, 8127, 563, 288, 11651, 884, 1513, 1082, 17794, 8127, 1282, 513, 17794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 4064, 547, 5739, 11158, 12345, 543, 8886, 1218, 899, 6070, 4248, 267, 1818, 5026, 14296, 609, 1697, 14485, 1898, 563, 268, 15604, 5026, 281, 16176, 543, 4672, 5026, 267, 971, 607, 31562, 543, 6777, 24692, 267, 10460, 2189, 4220, 547, 519, 4064, 267, 1519, 1350, 732, 689, 519, 3141, 781, 8086, 593, 519, 6777, 543, 4672, 14848, 563, 15371, 596, 2811, 513, 3318, 19002, 610, 1175, 2972, 16351, 5026, 267, 5329, 707, 4064, 6870, 1058, 2141, 581, 513, 1283, 10862, 269, 13693, 609, 606, 3750, 1416, 3318, 547, 3313, 799, 5026, 14296, 616, 1655, 14018, 585, 707, 1880, 2534, 543, 2115, 563, 763, 11588, 540, 11846, 3794, 13293, 281, 14174, 304, 454, 2026, 5026, 14296, 1831, 5051, 2442, 1851, 9845, 543, 8516, 12439, 267, 621, 568, 2067, 547, 723, 2055, 827, 741, 946, 543, 7145, 269, 3371, 616, 930, 4749, 4280, 2055, 827, 5026, 14296, 912, 2710, 594, 991, 5026, 14296, 952, 594, 2907, 723, 3501, 5075, 888, 8133, 267, 5026, 14296, 616, 1869, 5227, 1256, 952, 596, 723, 3501, 5075, 269, 1358, 2709, 4027, 1996, 1761, 3750, 7063, 543, 948, 2569, 1350, 732, 543, 11158, 4598, 267, 799, 666, 2087, 707, 2773, 593, 519, 2361, 610, 538, 519, 15547, 563, 4692, 594, 946, 1250, 2834, 14296, 585, 5026, 543, 2168, 2238, 888, 5591, 267, 2834, 14296, 616, 711, 2966, 585, 5026, 543, 2168, 2238, 267, 543, 666, 1256, 581, 5906, 538, 930, 2665, 269, 1358, 616, 711, 1764, 15033, 543, 949, 2736, 610, 695, 2660, 952, 5734, 676, 513, 3440, 610, 824, 1843, 269, 3958, 267, 519, 14604, 949, 711, 581, 5150, 2614, 547, 3251, 538, 1747, 1282, 1164, 27233, 5322, 563, 1432, 616, 519, 2640, 540, 13310, 5026, 14296, 888, 15430, 5524, 5026, 14296, 2709, 519, 1482, 2640, 607, 1875, 25535, 5524, 5026, 14296, 267, 855, 609, 3773, 5075, 15494, 3358, 547, 707, 1808, 2115, 269, 901, 666, 948, 2087, 707, 2773, 543, 2569, 3750, 8833, 1282, 2168, 2238, 563, 1432, 2010, 540, 5026, 14296, 616, 1655, 585, 1216, 5026, 888, 306, 7964, 14296, 609, 8701, 1242, 14485, 616, 1655, 585, 1216, 5026, 267, 607, 789, 2569, 1350, 732, 543, 2333, 15287, 538, 6505, 2175, 269, 3958, 267, 5026, 14296, 609, 28253, 2269, 1186, 610, 13164, 666, 948, 1832, 519, 14296, 538, 1747, 1282, 1216, 2238, 563, 1692, 666, 594, 2973, 1250, 5026, 14296, 888, 2791, 666, 2973, 707, 5026, 14296, 609, 513, 7646, 12853, 543, 3636, 1216, 267, 610, 609, 513, 7463, 7828, 15777, 269, 3680, 1210, 10792, 6464, 610, 31492, 2326, 267, 607, 891, 666, 15072, 610, 3441, 519, 14485, 269, 16959, 519, 14296, 609, 513, 29370, 9200, 12308, 610, 824, 2571, 267, 561, 842, 6954, 1570, 563, 2691, 1058, 594, 5372, 1250, 5026, 14296, 888, 2791, 1058, 5372, 707, 5026, 14296, 952, 789, 1831, 29565, 3481, 610, 8697, 267, 610, 952, 789, 1100, 3476, 3514, 5265, 269, 3958, 267, 952, 707, 13310, 2242, 267, 596, 949, 991, 547, 5372, 707, 13310, 5026, 14296, 547, 2327, 6099, 5075, 15494, 563, 2710, 594, 991, 3318, 17501, 585, 1250, 5026, 14296, 888, 8133, 267, 3318, 17501, 568, 5227, 585, 5026, 14296, 547, 2327, 6099, 2773, 543, 4313, 1282, 2168, 2238, 269, 589, 8036, 3318, 666, 948, 596, 2824, 519, 1318, 14604, 543, 14485, 267, 543, 2327, 513, 5150, 267, 6899, 3514, 563, 3528, 7446, 519, 1318, 5026, 14296, 543, 1739, 1697, 5826, 543, 17501, 2553, 267, 596, 666, 2972, 4824, 5075, 543, 3750, 1072, 1282, 707, 5172, 2168, 2238, 269, 0, 291, 658, 4084, 568, 1776, 4122, 1031, 4051, 532, 4480, 269, 901, 14998, 2852, 1053, 581, 3742, 543, 1491, 851, 538, 1153, 269, 6732, 6030, 1118, 519, 1034, 540, 5188, 12545, 607, 513, 1267, 540, 1053, 949, 711, 723, 1554, 676, 1554, 5872, 609, 513, 7548, 269, 634, 1655, 9183, 585, 713, 2186, 540, 6044, 568, 5645, 856, 676, 1797, 540, 3381, 10004, 11623, 269, 7756, 5686, 899, 2596, 10004, 11623, 666, 723, 2852, 1053, 17511, 23651, 543, 585, 2072, 269, 901, 2460, 540, 6340, 609, 15032, 568, 1898, 585, 2852, 3214, 1317, 789, 3580, 2307, 519, 7548, 543, 824, 1053, 585, 948, 952, 789, 1616, 621, 563, 288, 4549, 2218, 12200, 568, 849, 1572, 513, 3341, 1153, 267, 610, 513, 2101, 2852, 269, 11088, 267, 519, 16166, 543, 6609, 9775, 538, 3486, 6753, 269, 769, 519, 7330, 267, 585, 3236, 267, 513, 3341, 1153, 568, 606, 4830, 267, 610, 4357, 267, 6281, 610, 1164, 1153, 269, 769, 11984, 267, 1114, 3486, 6753, 1927, 609, 519, 5177, 267, 513, 4549, 2218, 2852, 568, 835, 799, 22316, 840, 14194, 3421, 1417, 19920, 585, 1164, 25217, 269, 634, 2085, 31228, 593, 713, 2013, 568, 5216, 547, 476, 1321, 1032, 29419, 563, 763, 1292, 2816, 11645, 1331, 1924, 1018, 666, 606, 979, 26404, 798, 888, 2467, 616, 6266, 540, 1004, 602, 616, 8200, 593, 891, 3688, 547, 2226, 873, 538, 1153, 269, 3509, 14026, 891, 616, 519, 1152, 1797, 602, 7606, 616, 2111, 547, 7390, 12200, 269, 634, 3790, 540, 6024, 2069, 786, 581, 1360, 7050, 543, 2348, 835, 3364, 602, 949, 948, 8897, 519, 11411, 513, 3787, 568, 20427, 15874, 563, 5472, 538, 782, 2069, 4058, 11151, 721, 689, 7680, 10616, 1063, 938, 3872, 6788, 543, 4641, 269, 634, 1657, 5018, 2127, 616, 1590, 333, 1406, 25339, 596, 689, 14027, 707, 2069, 269, 1452, 616, 2798, 596, 1034, 2693, 547, 2097, 2066, 2429, 707, 1382, 269, 634, 4105, 3364, 568, 602, 596, 3274, 14133, 693, 707, 3872, 3460, 543, 1332, 24015, 563, 27645, 1175, 3884, 1406, 3025, 779, 7484, 540, 7401, 563, 22998, 609, 856, 513, 4480, 568, 21915, 26920, 547, 2469, 547, 4655, 609, 856, 18006, 269, 4746, 2015, 602, 1870, 4640, 568, 14126, 609, 9591, 10728, 4324, 269, 11109, 513, 1505, 538, 2247, 568, 1175, 711, 2614, 267, 18562, 267, 13055, 5411, 1058, 2328, 856, 741, 1880, 2409, 602, 7291, 519, 2994, 267, 5773, 267, 4294, 9443, 267, 543, 1114, 25411, 1255, 4941, 547, 2196, 513, 19311, 13055, 269, 1924, 1018, 11129, 547, 606, 5140, 5163, 1544, 610, 1870, 4640, 2408, 547, 581, 286, 634, 1614, 1271, 2609, 585, 3395, 971, 513, 4480, 18220, 4065, 267, 5811, 267, 543, 13079, 1081, 563, 13553, 267, 11504, 2852, 2501, 609, 922, 2123, 1880, 8007, 269, 1323, 1367, 945, 568, 4956, 547, 6318, 741, 3942, 540, 2069, 568, 2386, 547, 21287, 513, 2362, 4110, 538, 2852, 269, 1306, 606, 14745, 267, 513, 1268, 666, 21287, 5232, 899, 536, 659, 3559, 832, 267, 18544, 267, 543, 12854, 338, 269, 1323, 1367, 666, 7118, 513, 4387, 622, 610, 1776, 2157, 676, 11504, 2852, 269, 15706, 602, 723, 513, 7050, 26885, 616, 3063, 26060, 676, 1866, 269, 4746, 538, 3013, 607, 649, 3717, 267, 2348, 513, 1079, 610, 476, 275, 1032, 2852, 4110, 568, 4657, 883, 606, 2810, 1297, 540, 1271, 547, 30196, 7450, 1811, 547, 2883, 543, 3872, 3255, 269, 1280, 1383, 267, 513, 1268, 609, 513, 9787, 779, 4110, 786, 723, 519, 2702, 547, 1205, 513, 2816, 1510, 1373, 26906, 267, 607, 513, 1267, 540, 519, 9746, 786, 10519, 519, 1367, 676, 519, 1377, 540, 26885, 646, 610, 1352, 19299, 563, 23804, 856, 1018, 17758, 616, 2139, 1522, 581, 1336, 676, 513, 3099, 540, 7270, 602, 3761, 713, 1239, 585, 891, 799, 1522, 581, 16462, 269, 9861, 2318, 602, 789, 3283, 602, 596, 723, 513, 1413, 693, 829, 1555, 547, 25689, 543, 17758, 799, 1522, 581, 8225, 538, 2470, 568, 1898, 607, 972, 616, 1585, 7270, 799, 1522, 581, 538, 14621, 547, 824, 2127, 540, 519, 1158, 269, 0, 10743, 262, 19463, 1863, 1565, 813, 609, 700, 25893, 2228, 5049, 267, 8216, 8969, 6571, 267, 19957, 2259, 585, 5049, 476, 277, 268, 1321, 267, 10531, 1353, 813, 585, 13174, 267, 3163, 267, 4317, 5525, 267, 3381, 552, 19543, 267, 2228, 5850, 267, 543, 811, 563, 288, 4387, 568, 513, 2564, 3318, 945, 2027, 2478, 538, 8156, 543, 7067, 7210, 610, 8697, 2043, 563, 288, 4387, 1590, 723, 513, 3656, 543, 16048, 6132, 775, 547, 960, 538, 1022, 6413, 610, 16758, 269, 1677, 26821, 4915, 538, 3127, 267, 835, 1590, 11578, 609, 519, 9232, 21357, 7027, 540, 3127, 892, 630, 300, 5746, 264, 543, 1205, 513, 6132, 775, 269, 6481, 5232, 616, 6035, 676, 513, 1297, 540, 9945, 543, 32112, 538, 3127, 543, 18246, 269, 589, 4387, 786, 2307, 519, 3461, 513, 1906, 2055, 543, 4983, 1010, 2168, 2783, 1354, 8156, 1864, 563, 2005, 4667, 972, 568, 1945, 4636, 609, 707, 4950, 4276, 269, 7490, 1921, 547, 519, 4950, 543, 1376, 19855, 1586, 563, 2171, 723, 9571, 602, 596, 616, 1210, 740, 4565, 12177, 11690, 514, 538, 707, 11422, 269, 634, 8907, 649, 7118, 676, 519, 22099, 568, 1031, 547, 4383, 713, 3896, 267, 649, 7662, 596, 547, 17642, 601, 626, 938, 3896, 538, 707, 740, 4565, 12177, 11690, 514, 563, 306, 924, 568, 13332, 539, 454, 28989, 256, 901, 3135, 568, 711, 2139, 538, 707, 2197, 269, 0, 268, 4841, 666, 9691, 15849, 30968, 543, 1459, 3621, 4930, 543, 2093, 454, 268, 4841, 1205, 1995, 9306, 1570, 30375, 538, 4395, 540, 606, 5304, 454, 268, 4841, 22962, 741, 1702, 827, 3621, 1382, 3544, 741, 1378, 2361, 454, 10376, 1362, 6238, 609, 513, 2875, 4758, 513, 29519, 593, 513, 6074, 1888, 609, 513, 8653, 540, 476, 1789, 1295, 269, 11374, 519, 6881, 267, 519, 824, 1053, 538, 519, 1362, 2307, 2055, 543, 2285, 5955, 593, 519, 2511, 543, 9115, 540, 519, 6881, 269, 634, 16929, 949, 849, 1683, 8292, 563, 347, 10743, 616, 13752, 513, 1780, 11721, 841, 3446, 269, 634, 4170, 585, 8429, 519, 1576, 616, 630, 272, 264, 4758, 513, 25685, 6881, 543, 630, 273, 264, 11504, 519, 14245, 540, 519, 824, 1053, 2008, 23277, 663, 2218, 585, 1053, 538, 519, 4487, 3950, 3487, 1834, 543, 8330, 5268, 12695, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21080, 7136, 525, 585, 476, 1220, 901, 568, 513, 5458, 1560, 540, 2011, 602, 814, 2147, 2837, 267, 11195, 267, 543, 2011, 2604, 693, 1022, 2016, 4463, 563, 21080, 7136, 525, 585, 476, 6110, 1452, 616, 519, 4408, 540, 519, 13164, 540, 1164, 18286, 12798, 1657, 3047, 779, 2627, 563, 21080, 7136, 525, 585, 476, 7785, 901, 1826, 540, 2011, 2527, 6770, 3579, 267, 18519, 4365, 547, 519, 4639, 11076, 540, 519, 2136, 2276, 563, 21080, 7136, 525, 585, 476, 8517, 901, 2489, 1826, 540, 2011, 2527, 3029, 936, 2244, 563, 293, 1258, 1206, 585, 476, 1220, 901, 568, 519, 2012, 540, 519, 10465, 1141, 1079, 1114, 2011, 13999, 2743, 563, 293, 1258, 1206, 585, 476, 6110, 901, 2186, 540, 4395, 3029, 950, 513, 1079, 4411, 2011, 13999, 2759, 513, 3636, 2011, 2527, 1055, 689, 519, 2666, 563, 293, 1258, 1206, 585, 476, 7785, 901, 568, 519, 1259, 519, 12798, 540, 513, 7814, 821, 30809, 538, 519, 8832, 25955, 563, 293, 1258, 1206, 585, 476, 8517, 901, 568, 519, 1826, 540, 4395, 602, 3029, 950, 513, 3636, 2011, 2527, 16765, 1389, 513, 7444, 3001, 4411, 2011, 2527, 563, 1805, 768, 338, 585, 476, 1220, 901, 568, 513, 10795, 19717, 538, 519, 5790, 563, 1805, 768, 338, 585, 476, 6110, 634, 6727, 11166, 540, 5201, 538, 513, 7088, 568, 5219, 547, 607, 13322, 13090, 563, 1805, 768, 338, 585, 476, 7785, 16176, 8813, 950, 18519, 2011, 3579, 338, 2630, 13322, 1693, 13090, 5232, 17622, 563, 1805, 768, 338, 585, 476, 8517, 589, 12843, 318, 568, 513, 1507, 7088, 1419, 10483, 676, 5230, 13247, 543, 7928, 19711, 543, 17500, 563, 307, 1941, 29777, 543, 15049, 21814, 585, 476, 1220, 901, 568, 513, 6385, 627, 26325, 267, 1187, 6773, 11057, 6531, 602, 10301, 1524, 689, 513, 7088, 6531, 547, 5905, 3047, 779, 2627, 563, 307, 1941, 29777, 543, 15049, 21814, 585, 476, 6110, 901, 568, 513, 9341, 7814, 821, 602, 814, 12798, 540, 476, 15686, 12919, 829, 5662, 610, 2362, 563, 307, 1941, 29777, 543, 15049, 21814, 585, 476, 7785, 570, 1941, 29777, 1106, 538, 713, 1826, 540, 6531, 563, 307, 1941, 29777, 543, 15049, 21814, 585, 476, 8517, 634, 15420, 602, 3132, 519, 5207, 12798, 616, 12843, 27702, 563, 2171, 1430, 5983, 26511, 585, 476, 1220, 1452, 616, 3744, 945, 1353, 519, 2014, 540, 4365, 543, 2119, 547, 3589, 621, 563, 2171, 1430, 5983, 26511, 585, 476, 6110, 1452, 616, 519, 3515, 593, 513, 4365, 4786, 602, 6443, 4025, 609, 519, 1482, 2011, 2604, 563, 2171, 1430, 5983, 26511, 585, 476, 7785, 12843, 1029, 616, 1031, 547, 1397, 2127, 540, 2147, 2837, 593, 513, 4365, 4786, 563, 2171, 1430, 5983, 26511, 585, 476, 8517, 2201, 513, 4365, 4786, 267, 2011, 2604, 568, 6027, 538, 12843, 563, 290, 2194, 675, 519, 3848, 585, 476, 1220, 12207, 19665, 2011, 13999, 2687, 547, 13322, 13090, 4162, 563, 290, 2194, 675, 519, 3848, 585, 476, 6110, 1879, 513, 1164, 2604, 1062, 568, 3001, 936, 12844, 706, 601, 267, 649, 666, 2503, 12843, 318, 22839, 269, 1879, 513, 1164, 2604, 1062, 568, 3001, 936, 12844, 706, 601, 267, 649, 666, 2503, 12843, 318, 22839, 563, 290, 2194, 675, 519, 3848, 585, 476, 7785, 1452, 616, 1164, 25774, 7740, 540, 3819, 2011, 563, 290, 2194, 675, 519, 3848, 585, 476, 8517, 15049, 21814, 602, 10880, 519, 5101, 11076, 540, 519, 2136, 2276, 616, 1034, 1455, 538, 519, 3275, 540, 13322, 1029, 267, 13322, 1029, 267, 543, 13322, 27702, 269, 0, 28415, 6014, 6426, 454, 866, 14568, 547, 581, 4057, 543, 2661, 835, 779, 1272, 20005, 569, 454, 22474, 4497, 538, 5186, 12097, 4633, 267, 585, 971, 513, 835, 568, 513, 18174, 563, 273, 1677, 957, 1510, 6616, 875, 596, 1599, 568, 711, 1434, 3248, 663, 952, 596, 19060, 6619, 267, 596, 786, 4413, 707, 3804, 563, 274, 589, 1268, 779, 1378, 1165, 569, 568, 1018, 21219, 1010, 1259, 2676, 8117, 646, 986, 2471, 538, 1010, 2295, 1996, 1520, 517, 2967, 563, 275, 32100, 6770, 538, 1082, 2828, 2676, 8117, 519, 4057, 812, 19380, 519, 835, 3659, 646, 814, 563, 276, 589, 7301, 7198, 786, 711, 979, 10002, 684, 1639, 3248, 15367, 1197, 3826, 1127, 856, 6013, 786, 711, 9101, 563, 277, 3509, 2307, 7957, 832, 540, 513, 21464, 1268, 2443, 454, 1729, 513, 575, 1853, 540, 13344, 267, 3025, 568, 513, 3659, 563, 278, 589, 4057, 812, 779, 14077, 782, 13842, 1864, 3248, 16838, 811, 1010, 2828, 3251, 2476, 689, 1864, 563, 3891, 949, 11654, 873, 609, 1303, 805, 625, 2676, 8117, 789, 5749, 1406, 972, 547, 581, 1336, 563, 279, 1677, 10536, 1434, 2631, 568, 547, 2648, 13951, 3248, 1729, 14951, 20559, 618, 568, 547, 10653, 563, 280, 589, 7301, 7198, 786, 711, 979, 10002, 684, 1639, 3248, 15367, 1197, 3826, 1127, 856, 6013, 786, 829, 880, 563, 1015, 898, 3884, 1406, 17501, 585, 513, 18174, 547, 2661, 538, 17195, 2676, 663, 1256, 1447, 585, 513, 10553, 547, 1827, 2379, 806, 563, 1556, 4658, 609, 1434, 2631, 616, 3500, 547, 10845, 2676, 663, 621, 568, 741, 18710, 547, 26777, 606, 25213, 563, 1321, 589, 4622, 779, 32716, 568, 899, 519, 887, 2130, 540, 513, 17794, 2676, 8117, 1010, 3870, 568, 899, 632, 342, 593, 519, 6371, 563, 1724, 589, 5067, 945, 568, 513, 18174, 568, 1010, 4651, 779, 25010, 2676, 663, 513, 562, 698, 3101, 7385, 568, 899, 513, 13451, 602, 8952, 5671, 6137, 563, 1691, 589, 2777, 543, 5763, 616, 15110, 689, 11937, 2676, 8117, 513, 24534, 7385, 568, 689, 1520, 517, 2967, 563, 1428, 32303, 1465, 2306, 1004, 2887, 18069, 2676, 663, 606, 7329, 548, 1268, 786, 979, 17237, 563, 1626, 1261, 945, 8952, 513, 5378, 345, 341, 1695, 8952, 5128, 2922, 2676, 8117, 646, 945, 3085, 1406, 1416, 875, 646, 2729, 786, 5884, 563, 1704, 1261, 945, 568, 2186, 547, 519, 4057, 568, 23831, 547, 1520, 517, 2967, 3248, 663, 646, 786, 23231, 1864, 585, 1010, 1434, 632, 539, 563, 1240, 2598, 23002, 707, 1126, 1247, 972, 568, 4126, 2676, 8117, 1810, 1406, 1205, 865, 14220, 602, 596, 6146, 1864, 2336, 866, 589, 10795, 2389, 11391, 1229, 1268, 786, 581, 27052, 3248, 604, 596, 2119, 547, 4688, 1864, 689, 621, 267, 596, 1118, 1919, 8338, 563, 736, 19415, 547, 5796, 267, 543, 3398, 9015, 2676, 810, 602, 538, 519, 1439, 596, 786, 581, 8797, 563, 2641, 2290, 666, 28433, 1082, 4566, 538, 835, 779, 2247, 2676, 8117, 1520, 517, 2967, 779, 1544, 786, 7173, 841, 563, 2420, 589, 812, 779, 561, 755, 568, 1010, 17847, 2676, 663, 513, 4057, 812, 568, 1732, 982, 513, 561, 3511, 563, 2537, 634, 4250, 540, 1520, 517, 2967, 5012, 547, 1272, 3248, 821, 945, 814, 621, 568, 13854, 543, 26520, 2150, 31189, 676, 9409, 563, 2190, 634, 27823, 1268, 3276, 625, 1010, 1688, 538, 519, 8670, 454, 8117, 3085, 1406, 1256, 21898, 547, 3142, 621, 547, 1010, 5023, 563, 1839, 1403, 596, 10880, 513, 1085, 528, 1676, 2676, 1492, 2241, 786, 1451, 547, 957, 20617, 3248, 604, 596, 1065, 17311, 519, 10995, 2676, 515, 786, 1174, 1018, 596, 1611, 563, 2918, 2290, 945, 5134, 805, 338, 1010, 4651, 543, 859, 1112, 338, 1010, 3993, 454, 529, 513, 5067, 945, 6770, 873, 17847, 543, 771, 6588, 576, 563, 2767, 3733, 5067, 267, 952, 596, 3247, 646, 5338, 9015, 2676, 9767, 786, 30065, 689, 519, 3741, 540, 1702, 563, 2764, 589, 4502, 1652, 7198, 544, 4169, 693, 5126, 2676, 663, 519, 5023, 540, 519, 29063, 2220, 718, 3298, 4636, 4777, 532, 563, 3066, 7225, 18488, 616, 538, 4558, 585, 1085, 1941, 619, 454, 663, 9514, 338, 585, 519, 19758, 540, 535, 8962, 269, 0, 1708, 272, 31292, 7896, 21009, 4303, 10985, 454, 25486, 1302, 9025, 2068, 6811, 519, 2729, 540, 811, 982, 476, 1704, 269, 279, 2929, 1004, 11451, 543, 827, 476, 3199, 276, 267, 1822, 4892, 723, 513, 2295, 4323, 20196, 568, 476, 272, 1169, 476, 275, 7643, 269, 31292, 2068, 3788, 519, 3056, 2014, 540, 2669, 1299, 8628, 9659, 538, 519, 2136, 2276, 269, 3163, 2861, 2126, 1299, 2069, 616, 519, 1655, 9604, 538, 519, 4339, 1996, 2295, 2068, 543, 538, 9319, 9025, 2621, 782, 1927, 269, 21826, 8446, 267, 2126, 267, 543, 2359, 540, 9025, 2068, 538, 782, 3782, 5468, 666, 4688, 2729, 543, 1082, 666, 1256, 2061, 2295, 2068, 998, 2635, 6197, 5079, 269, 9839, 2068, 3790, 519, 2136, 2276, 1269, 31620, 5479, 513, 1032, 10629, 5604, 1299, 11581, 11564, 585, 2295, 2068, 5170, 547, 4473, 1169, 1032, 563, 307, 13759, 5304, 2882, 281, 4284, 5974, 267, 623, 2026, 267, 715, 11679, 267, 681, 28213, 267, 21512, 338, 267, 661, 5960, 267, 840, 3620, 2214, 1388, 267, 6413, 11024, 680, 1622, 267, 543, 782, 1866, 2324, 609, 519, 9025, 3461, 2551, 9731, 13126, 281, 15509, 10993, 1107, 9839, 8376, 12700, 454, 13563, 9839, 5948, 1107, 476, 1001, 280, 9839, 8376, 1299, 853, 6593, 22352, 16432, 676, 589, 11190, 267, 15509, 267, 22078, 295, 1299, 824, 2229, 2959, 563, 11917, 16633, 281, 2311, 519, 1439, 540, 713, 1576, 267, 5171, 1058, 581, 2111, 547, 912, 1892, 9181, 519, 14759, 538, 2930, 7207, 267, 8901, 543, 13796, 6571, 267, 543, 4393, 11250, 602, 723, 3366, 547, 1007, 3156, 585, 20192, 18201, 25086, 267, 6046, 9196, 267, 2780, 1242, 29821, 267, 543, 13487, 6419, 16982, 9196, 538, 4791, 2853, 263, 310, 625, 1676, 994, 1892, 16294, 1875, 29554, 13487, 9196, 547, 2087, 519, 4398, 543, 1871, 540, 3782, 2853, 2429, 519, 27795, 540, 1416, 31539, 2038, 7020, 543, 6604, 547, 5574, 585, 4359, 10108, 269, 630, 310, 625, 1676, 994, 1892, 14674, 5313, 2298, 24539, 543, 1981, 3292, 630, 295, 539, 326, 335, 996, 994, 1892, 10576, 875, 9086, 5222, 2702, 547, 1491, 6654, 3268, 538, 3782, 2359, 31855, 541, 1676, 994, 1892, 31692, 880, 519, 1686, 540, 15424, 1764, 593, 519, 24310, 1982, 630, 294, 541, 1676, 994, 1892, 14424, 519, 2078, 1063, 3075, 5777, 543, 2564, 9988, 630, 294, 541, 1676, 994, 1892, 23207, 1950, 2665, 538, 519, 13487, 29259, 1436, 2978, 22829, 532, 327, 994, 1892, 667, 5202, 622, 5107, 540, 1007, 2029, 547, 14458, 1950, 623, 5746, 267, 4481, 5107, 540, 9196, 543, 17550, 269, 9978, 7650, 338, 267, 8865, 7650, 338, 267, 7351, 8062, 630, 306, 532, 327, 994, 268, 667, 15967, 6755, 1157, 267, 11022, 270, 24357, 6509, 3525, 518, 1807, 454, 14625, 276, 268, 14862, 276, 281, 24919, 543, 519, 7913, 7169, 268, 8253, 3807, 519, 27946, 29640, 1323, 2096, 648, 269, 6348, 12833, 5297, 6481, 24919, 9828, 585, 13958, 3151, 543, 6164, 532, 13216, 9315, 13519, 8376, 563, 268, 17722, 654, 625, 1676, 267, 11022, 454, 14862, 276, 268, 14530, 276, 281, 19937, 19809, 454, 268, 9995, 571, 645, 1844, 1335, 267, 11298, 2676, 268, 17722, 654, 625, 1676, 267, 11022, 454, 268, 9478, 8575, 650, 26919, 267, 11022, 454, 14530, 276, 268, 15221, 276, 281, 10866, 543, 11485, 454, 268, 2549, 7701, 670, 539, 326, 335, 996, 454, 15221, 276, 268, 13893, 276, 281, 19937, 19809, 454, 268, 11518, 8316, 9469, 267, 9049, 301, 454, 268, 2549, 7701, 670, 539, 326, 335, 996, 454, 5611, 271, 268, 8182, 271, 281, 10819, 609, 16195, 454, 268, 3627, 12275, 1676, 267, 11022, 454, 8182, 271, 268, 10204, 271, 281, 22217, 4328, 13216, 623, 5746, 454, 268, 808, 553, 341, 785, 541, 19453, 267, 11022, 454, 10204, 271, 268, 14378, 276, 281, 5999, 543, 12226, 270, 24066, 340, 725, 454, 2171, 15395, 519, 1318, 547, 12990, 3584, 543, 10529, 538, 2013, 540, 606, 6595, 610, 23545, 566, 563, 306, 18588, 645, 1844, 1335, 267, 11298, 454, 11990, 12275, 1676, 267, 11022, 454, 17445, 528, 540, 5082, 5268, 903, 5735, 454, 297, 27889, 8316, 9469, 267, 631, 11190, 267, 645, 17928, 267, 681, 301, 454, 29262, 11916, 7896, 454, 29262, 267, 11233, 15051, 454, 297, 24944, 8575, 650, 26919, 267, 11022, 454, 297, 553, 341, 785, 541, 19453, 267, 11022, 267, 674, 3722, 290, 454, 29910, 2160, 3427, 540, 6925, 454, 24589, 760, 654, 625, 1676, 267, 11022, 454, 21357, 10615, 540, 23305, 9839, 454, 290, 2135, 10890, 4065, 4741, 568, 9516, 607, 513, 8502, 540, 8808, 11173, 3318, 1646, 676, 519, 29268, 5564, 626, 622, 10406, 267, 606, 26886, 1237, 591, 676, 519, 1977, 12502, 525, 28946, 1113, 532, 4741, 781, 8189, 593, 6452, 1042, 2787, 563, 276, 269, 1839, 13555, 25980, 454, 1607, 1982, 814, 1044, 9516, 676, 30532, 10890, 31292, 7896, 585, 476, 276, 269, 271, 13241, 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 ]
[ 271, 269, 15704, 1070, 519, 4984, 630, 335, 815, 476, 271, 269, 278, 3583, 1070, 519, 12136, 540, 8801, 2621, 630, 335, 815, 476, 271, 269, 26631, 1070, 519, 8905, 540, 6765, 630, 335, 815, 476, 271, 269, 6245, 264, 543, 14774, 1719, 538, 12674, 630, 335, 815, 476, 272, 1916, 8368, 476, 272, 269, 17502, 1470, 24683, 4919, 4162, 540, 519, 11299, 563, 8368, 476, 273, 269, 23105, 2188, 547, 6669, 8488, 281, 1617, 21725, 2079, 563, 299, 289, 310, 281, 1970, 4332, 2597, 282, 966, 299, 289, 310, 281, 15020, 8899, 17510, 13379, 282, 10758, 281, 744, 9536, 22472, 563, 5978, 24794, 8826, 1353, 4951, 602, 3592, 782, 16349, 543, 5924, 1970, 4332, 2597, 1453, 32509, 538, 519, 661, 18449, 30564, 8257, 630, 9032, 269, 278, 8472, 1185, 6192, 519, 12674, 693, 476, 280, 3275, 269, 7460, 294, 543, 744, 11901, 476, 271, 616, 22991, 13950, 547, 840, 3410, 543, 1970, 4332, 2597, 12256, 32509, 538, 519, 661, 18449, 30564, 1770, 267, 799, 949, 2491, 519, 476, 1911, 260, 12032, 2557, 585, 7460, 294, 543, 744, 11901, 476, 271, 538, 938, 1353, 269, 901, 25495, 519, 2164, 540, 519, 476, 1001, 272, 1353, 676, 9324, 714, 582, 1696, 620, 269, 538, 5333, 267, 945, 1336, 602, 519, 1101, 12674, 1354, 6413, 11166, 729, 2404, 609, 513, 1732, 12674, 3795, 2557, 4586, 2171, 1336, 602, 476, 10037, 269, 277, 260, 540, 1453, 941, 18764, 693, 519, 2085, 8612, 538, 519, 661, 18444, 8430, 267, 513, 4137, 3592, 7466, 607, 1164, 607, 602, 1336, 676, 26981, 520, 644, 1372, 1696, 620, 269, 538, 476, 1001, 280, 538, 24063, 267, 799, 729, 476, 5655, 269, 277, 10065, 15788, 5401, 1145, 538, 938, 1353, 8519, 609, 1970, 29556, 2085, 630, 4343, 269, 276, 260, 585, 1346, 4535, 1354, 476, 3953, 23354, 264, 543, 609, 1970, 4332, 2597, 630, 3451, 269, 274, 260, 585, 1346, 609, 4332, 2597, 2630, 476, 5611, 271, 575, 1040, 901, 4466, 729, 849, 1500, 538, 513, 2487, 1353, 538, 519, 13814, 676, 661, 269, 22748, 619, 1696, 620, 269, 945, 1336, 513, 476, 2568, 269, 276, 260, 5401, 1145, 602, 12628, 547, 476, 4391, 260, 538, 1453, 609, 29556, 2085, 2999, 2764, 26146, 4586, 2171, 7747, 602, 1453, 4535, 609, 1970, 4332, 2597, 543, 29556, 2085, 2484, 689, 2165, 941, 811, 2693, 547, 723, 16607, 12674, 269, 1284, 1336, 513, 1360, 1713, 7681, 1063, 1164, 840, 3901, 12053, 267, 1360, 1970, 4332, 2597, 267, 1970, 4332, 2597, 543, 711, 5401, 12674, 269, 901, 25495, 519, 4466, 540, 8575, 675, 523, 744, 685, 8867, 776, 1696, 620, 269, 538, 19168, 609, 1970, 4332, 2597, 607, 513, 1981, 3815, 585, 4057, 31331, 1256, 585, 1453, 4535, 538, 1072, 6703, 4586, 313, 3266, 1673, 846, 5711, 29887, 6669, 630, 8008, 309, 476, 271, 264, 1058, 581, 2016, 693, 4332, 610, 607, 4166, 607, 2009, 27502, 547, 11694, 1583, 27019, 11437, 3928, 609, 7766, 13066, 543, 16578, 11940, 657, 531, 4027, 1547, 769, 938, 1353, 267, 649, 1336, 476, 6434, 269, 275, 260, 5401, 1145, 585, 7460, 294, 543, 744, 11901, 476, 271, 1130, 1878, 269, 8307, 476, 1556, 269, 277, 260, 1185, 4607, 891, 10074, 693, 811, 982, 476, 278, 2395, 267, 799, 568, 2539, 982, 519, 5515, 689, 519, 1353, 593, 4128, 543, 21876, 540, 8488, 540, 7460, 294, 12674, 538, 513, 2146, 538, 1016, 25781, 4000, 676, 12157, 1690, 32634, 744, 9986, 639, 1415, 320, 267, 538, 799, 476, 4792, 269, 275, 260, 941, 18764, 693, 476, 273, 4374, 267, 543, 476, 2190, 269, 276, 260, 693, 476, 277, 4374, 1547, 26981, 520, 644, 1372, 1696, 620, 269, 1336, 602, 538, 476, 1001, 280, 538, 24063, 267, 7460, 294, 729, 476, 10844, 260, 5401, 543, 744, 11901, 267, 476, 3393, 269, 275, 260, 5401, 267, 1312, 4607, 693, 4332, 1547, 901, 29373, 729, 1813, 547, 6006, 268, 8083, 540, 744, 11901, 693, 25109, 6210, 11233, 538, 24063, 1282, 519, 1353, 1974, 1547, 769, 938, 1353, 267, 649, 1336, 2147, 22026, 585, 7460, 294, 543, 744, 11901, 476, 271, 267, 10834, 519, 1285, 2967, 268, 561, 1464, 540, 891, 10074, 538, 938, 1072, 9744, 563, 2690, 546, 13023, 750, 807, 267, 15067, 29104, 267, 14866, 1380, 529, 267, 29887, 267, 4232, 8785, 267, 13969, 25497, 5632, 267, 543, 27330, 10074, 267, 649, 1336, 3436, 3445, 260, 22026, 585, 667, 9143, 6953, 788, 289, 26260, 756, 267, 630, 520, 476, 277, 267, 476, 1015, 543, 476, 1691, 4374, 1070, 15585, 926, 343, 630, 520, 476, 277, 543, 476, 1015, 4374, 1070, 27330, 1341, 5835, 8611, 6669, 630, 520, 476, 280, 3275, 1040, 1452, 2164, 616, 811, 982, 1614, 2053, 1732, 982, 1346, 540, 18237, 638, 1512, 1696, 620, 269, 945, 1336, 1152, 476, 2764, 2600, 540, 840, 3410, 12256, 5870, 519, 3943, 7840, 585, 667, 9143, 6953, 756, 267, 631, 17307, 267, 543, 22031, 289, 693, 2085, 476, 273, 1296, 4586, 1103, 713, 4259, 267, 1453, 4535, 609, 1970, 4332, 2597, 543, 1346, 4535, 693, 606, 2038, 2085, 3459, 12674, 2663, 982, 1453, 4535, 693, 2165, 543, 5924, 4332, 2597, 21759, 7742, 271, 575, 269, 634, 1611, 2085, 540, 12674, 22612, 729, 476, 277, 2395, 13008, 476, 1556, 269, 901, 2085, 568, 2147, 547, 602, 1336, 538, 19168, 676, 8575, 675, 523, 744, 2274, 776, 1696, 620, 269, 1547, 1284, 1336, 513, 1713, 7681, 1063, 4332, 2597, 543, 12674, 22612, 630, 335, 2999, 476, 271, 269, 9826, 264, 609, 513, 1611, 12674, 22612, 2597, 540, 476, 23417, 274, 575, 13008, 476, 5392, 275, 563, 4002, 519, 6587, 267, 649, 1705, 711, 1265, 513, 1713, 7681, 609, 14774, 2085, 267, 14774, 2069, 267, 13567, 267, 4984, 267, 8905, 540, 6765, 267, 12136, 540, 8801, 2621, 267, 543, 14774, 1719, 538, 12674, 269, 3776, 4681, 949, 17591, 1346, 540, 24497, 328, 16217, 330, 1662, 1696, 620, 1421, 945, 4857, 7332, 4984, 267, 14774, 2085, 2999, 736, 1296, 607, 513, 3815, 2404, 609, 1970, 6669, 12032, 3928, 1851, 840, 3410, 12256, 538, 3127, 1547, 1358, 849, 1336, 602, 14774, 2069, 630, 19749, 354, 1321, 1296, 540, 18375, 264, 729, 513, 3815, 538, 25685, 12032, 3928, 4586, 291, 2700, 689, 1753, 547, 661, 18449, 3152, 982, 476, 276, 5998, 729, 2404, 609, 513, 1164, 2557, 540, 1100, 5401, 1145, 3379, 609, 513, 3845, 540, 1447, 982, 476, 276, 5998, 1496, 3036, 281, 476, 274, 269, 4366, 630, 5746, 281, 476, 272, 269, 6924, 910, 476, 278, 269, 5325, 267, 533, 815, 476, 271, 269, 9826, 264, 4940, 901, 1267, 568, 6677, 867, 656, 609, 1239, 11540, 676, 8575, 675, 523, 744, 685, 8867, 776, 1696, 620, 269, 538, 476, 1001, 278, 538, 19168, 267, 945, 1336, 602, 1453, 2713, 811, 982, 476, 276, 5998, 689, 519, 1072, 9744, 941, 476, 272, 269, 4391, 2053, 796, 341, 3147, 3990, 3379, 547, 1346, 2713, 476, 272, 5998, 689, 519, 1072, 9744, 630, 335, 18016, 476, 271, 269, 1822, 272, 264, 1547, 901, 10522, 519, 991, 547, 13599, 11299, 540, 840, 3410, 543, 1970, 4332, 2597, 12256, 827, 519, 2956, 540, 11173, 31331, 693, 519, 1072, 9744, 14191, 547, 1753, 538, 2013, 540, 7411, 538, 8757, 519, 6413, 1141, 12674, 729, 3323, 693, 4332, 563, 3519, 1356, 985, 827, 519, 3106, 540, 10074, 538, 840, 3410, 543, 1970, 4332, 2597, 12256, 616, 1419, 519, 2601, 585, 16607, 12674, 267, 5103, 519, 1249, 602, 519, 4908, 540, 8801, 2621, 5526, 547, 581, 13380, 1063, 840, 3410, 543, 2165, 12256, 1547, 5525, 723, 3254, 602, 1453, 609, 1991, 28491, 637, 21732, 2042, 616, 693, 3152, 1981, 540, 3384, 891, 8801, 6547, 476, 1547, 769, 938, 1353, 267, 476, 2190, 269, 276, 260, 540, 1453, 1185, 606, 8801, 5114, 1310, 12674, 267, 1500, 540, 8611, 543, 2199, 6547, 630, 276, 269, 274, 260, 1916, 21918, 14591, 540, 519, 1353, 281, 634, 796, 822, 22355, 540, 930, 1453, 779, 31331, 5638, 1282, 519, 5967, 267, 5473, 519, 3965, 540, 519, 3993, 1373, 26906, 269, 769, 891, 2665, 267, 621, 568, 2009, 602, 930, 1344, 949, 711, 723, 1044, 6394, 609, 22979, 269, 4475, 267, 972, 568, 513, 1981, 540, 11291, 9186, 538, 713, 1353, 1317, 3237, 949, 711, 11291, 1978, 1344, 8308, 269, 7457, 547, 11147, 540, 519, 31331, 5638, 540, 1082, 11299, 1310, 5967, 532, 267, 543, 1344, 538, 519, 30674, 5638, 540, 519, 30564, 1770, 5280, 547, 7413, 713, 1966, 267, 855, 519, 796, 591, 1881, 5638, 1223, 3310, 6669, 12032, 543, 22026, 3928, 269, 1284, 1705, 711, 8495, 519, 1702, 540, 1007, 7840, 593, 12674, 540, 840, 3410, 543, 1970, 4332, 2597, 12256, 676, 2564, 5234, 607, 513, 3815, 12018, 12674, 2259, 538, 938, 1353, 2551, 269, 11048, 267, 519, 1344, 6394, 689, 519, 11299, 26906, 4847, 721, 547, 2697, 519, 1292, 2188, 12018, 6669, 22026, 543, 12032, 538, 519, 840, 3410, 543, 1970, 4332, 2597, 2551, 267, 543, 2079, 540, 891, 2188, 568, 2556, 547, 2087, 6669, 3795, 538, 713, 7925, 2551, 563, 29909, 782, 16349, 543, 5924, 1970, 4332, 2597, 1453, 1185, 6192, 6296, 31331, 676, 476, 280, 3275, 267, 543, 519, 5354, 1185, 4607, 519, 10074, 693, 519, 8612, 2085, 269, 15020, 1970, 4332, 2597, 267, 3665, 840, 3901, 12053, 267, 543, 3845, 3436, 276, 5998, 689, 1753, 547, 661, 18449, 941, 16762, 2188, 585, 16607, 31331, 269, 898, 568, 5227, 602, 2564, 5234, 1058, 2327, 602, 782, 29507, 616, 18764, 7488, 540, 4332, 2597, 543, 2165, 269, 769, 1840, 267, 5571, 2866, 1058, 581, 3177, 547, 31331, 5234, 3823, 519, 12674, 540, 840, 3410, 543, 1970, 4332, 2597, 12256, 563, 2171, 1616, 547, 2769, 938, 14696, 547, 782, 519, 11299, 543, 3237, 585, 741, 18515, 547, 7119, 538, 713, 1353, 267, 607, 1134, 782, 519, 5234, 540, 519, 30564, 1770, 543, 519, 31331, 3028, 563, 298, 300, 543, 589, 2894, 301, 2966, 519, 1353, 267, 918, 300, 267, 8028, 301, 300, 543, 13673, 297, 24458, 1239, 4015, 543, 1225, 566, 267, 589, 7034, 9916, 519, 1239, 269, 918, 300, 543, 589, 2894, 301, 5206, 519, 12377, 269, 623, 10498, 301, 543, 29172, 12649, 519, 12377, 269, 2353, 4589, 9516, 519, 3803, 4528, 563, 744, 5443, 20403, 267, 674, 1421, 966, 5451, 345, 4302, 345, 267, 700, 1421, 25661, 807, 4211, 528, 2041, 4275, 267, 623, 1421, 1696, 620, 269, 630, 1001, 279, 264, 16332, 1436, 540, 2776, 3410, 5606, 1218, 609, 717, 306, 298, 779, 1261, 343, 10052, 550, 10395, 1441, 667, 13023, 750, 807, 6874, 564, 29104, 5025, 14978, 623, 1068, 1380, 529, 6953, 788, 22807, 645, 24493, 716, 17300, 2717, 328, 21552, 6953, 320, 655, 17232, 639, 14118, 20044, 2801, 7392, 536, 1230, 24503, 622, 28404, 281, 589, 5623, 540, 8881, 543, 16332, 8328, 640, 269, 28404, 267, 476, 3607, 267, 476, 7176, 277, 268, 4200, 277, 563, 5487, 1721, 22468, 267, 715, 1421, 4144, 31410, 549, 267, 589, 1421, 645, 1014, 14024, 267, 674, 10422, 1421, 1696, 620, 269, 630, 1001, 279, 264, 3657, 2776, 6874, 518, 916, 18004, 5384, 569, 543, 9406, 16332, 1242, 286, 11778, 540, 606, 7969, 595, 2129, 677, 5530, 269, 5274, 17261, 1149, 1299, 16332, 6139, 31706, 267, 476, 1691, 267, 476, 16928, 279, 268, 9610, 273, 563, 14068, 584, 1372, 523, 267, 590, 1421, 21244, 267, 589, 1421, 20707, 880, 267, 670, 1421, 1696, 620, 269, 630, 1001, 280, 264, 8881, 543, 16332, 8328, 640, 540, 7216, 645, 26808, 2836, 5471, 974, 8566, 340, 2946, 12541, 17261, 1588, 538, 5606, 1218, 5808, 3657, 2776, 3410, 543, 5924, 5620, 8899, 17510, 1284, 2074, 281, 589, 3590, 1738, 5623, 543, 26426, 268, 26046, 269, 808, 24717, 27435, 267, 476, 15876, 267, 476, 4037, 268, 5952, 563, 667, 10224, 267, 918, 1421, 2871, 334, 267, 808, 269, 543, 2274, 328, 267, 623, 269, 630, 1001, 278, 264, 8881, 543, 16332, 8328, 640, 540, 623, 12149, 25497, 5632, 1230, 24503, 622, 28404, 538, 2776, 3410, 5606, 1218, 281, 589, 26426, 268, 26046, 269, 634, 4095, 4750, 540, 27435, 267, 476, 10019, 267, 476, 6200, 268, 8099, 563, 9324, 714, 582, 267, 590, 1421, 18307, 1722, 267, 808, 1421, 6970, 650, 14513, 267, 717, 1421, 1696, 620, 269, 630, 1001, 272, 264, 11233, 9024, 2747, 540, 513, 17261, 1400, 21480, 8555, 1407, 519, 7043, 31645, 17261, 1400, 15147, 720, 540, 1401, 6261, 516, 3410, 5753, 269, 28404, 267, 476, 3066, 267, 476, 4343, 273, 268, 4343, 277, 563, 22748, 619, 267, 661, 6185, 8160, 1421, 7137, 1499, 267, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1756, 12991, 739, 665, 2529, 2869, 650, 636, 269, 2304, 19487, 6511, 14389, 548, 2125, 328, 7578, 16415, 324, 14389, 548, 2125, 328, 7578, 2030, 545, 7637, 10611, 327, 714, 984, 1756, 21457, 3688, 7498, 1692, 1271, 616, 519, 5107, 540, 605, 28648, 4925, 13271, 543, 4551, 538, 519, 9436, 4783, 888, 3682, 28648, 4925, 1404, 513, 2101, 1909, 538, 519, 9436, 4783, 676, 21338, 8444, 335, 8879, 9436, 883, 20342, 602, 2371, 666, 946, 543, 676, 14291, 20342, 883, 824, 3029, 540, 9436, 2959, 563, 3963, 568, 9436, 865, 1271, 547, 2713, 1919, 888, 301, 527, 4088, 1772, 6206, 547, 5020, 256, 21193, 4088, 568, 513, 1883, 3693, 538, 519, 31332, 7408, 5027, 543, 10717, 267, 799, 616, 519, 1034, 1271, 540, 782, 6211, 6675, 543, 2629, 585, 782, 2713, 1919, 269, 5027, 11438, 519, 4719, 1344, 267, 799, 1797, 519, 5528, 585, 875, 547, 1118, 909, 513, 1272, 1106, 563, 1432, 1655, 19776, 519, 1909, 540, 9436, 21338, 4551, 888, 12585, 281, 634, 4551, 6460, 1863, 9436, 883, 9436, 25202, 7135, 267, 1247, 519, 10920, 1842, 619, 6460, 9436, 25202, 7135, 883, 1863, 9436, 563, 1692, 1281, 4551, 1860, 519, 9436, 4783, 888, 15008, 281, 769, 519, 9436, 30651, 1184, 267, 9436, 21338, 4551, 17838, 519, 715, 273, 538, 519, 5790, 883, 19760, 274, 630, 2459, 8205, 1040, 901, 4551, 25907, 7250, 6675, 609, 519, 31529, 9436, 547, 1106, 20342, 538, 519, 3037, 269, 2560, 3245, 519, 7503, 540, 20342, 547, 6491, 27866, 267, 4551, 849, 11226, 538, 713, 1184, 1572, 6491, 30826, 563, 3963, 798, 4551, 1404, 513, 1909, 538, 519, 9436, 4783, 888, 272, 8382, 269, 634, 4551, 2736, 1524, 5214, 1570, 602, 2270, 9436, 543, 5305, 621, 1394, 883, 519, 4783, 269, 29318, 9397, 1524, 513, 6978, 2073, 1287, 621, 786, 5305, 519, 9436, 883, 519, 3037, 585, 2371, 563, 1432, 616, 476, 273, 5107, 540, 4551, 538, 519, 9436, 4783, 888, 3682, 28648, 4925, 1404, 1896, 5107, 538, 519, 9436, 4783, 269, 21193, 4088, 1922, 30480, 4551, 538, 519, 3037, 543, 1369, 519, 3597, 12162, 2737, 540, 930, 2371, 6460, 9436, 3154, 538, 519, 5790, 547, 20342, 269, 21193, 337, 4328, 4551, 6460, 20342, 547, 6491, 27866, 610, 6491, 6233, 269, 2560, 9324, 527, 337, 4328, 4551, 17838, 6491, 6233, 1394, 547, 9436, 3154, 563, 1432, 616, 519, 1079, 1292, 3252, 540, 4551, 538, 519, 9436, 4783, 888, 301, 527, 4088, 3154, 568, 6378, 883, 3029, 824, 7103, 666, 946, 269, 634, 10920, 1842, 619, 267, 1978, 3037, 4551, 543, 13271, 267, 2736, 1524, 5946, 538, 4666, 7103, 543, 3662, 22837, 267, 16089, 16139, 1756, 12274, 799, 666, 581, 10736, 547, 824, 9436, 7135, 269, 21193, 30826, 568, 513, 1079, 9912, 1184, 563, 1432, 616, 1806, 540, 9436, 21338, 4551, 888, 14300, 540, 713, 1826, 540, 9436, 1922, 30480, 4551, 1331, 2249, 540, 10897, 582, 14385, 267, 645, 26808, 267, 1849, 739, 5090, 1756, 267, 543, 21890, 2125, 328, 7578, 269, 1306, 5892, 7074, 267, 891, 7103, 1590, 1265, 741, 1378, 2707, 540, 1648, 267, 3335, 676, 12444, 1944, 5214, 6675, 5950, 676, 824, 7103, 610, 689, 17883, 563, 1432, 798, 649, 946, 9436, 585, 538, 938, 4703, 888, 301, 527, 4088, 568, 606, 1271, 851, 540, 938, 4703, 269, 589, 2381, 334, 7408, 782, 2270, 9436, 543, 891, 616, 519, 2679, 7161, 602, 1118, 909, 519, 5946, 538, 707, 4552, 267, 6091, 267, 2960, 543, 824, 1271, 8031, 269, 2560, 1284, 3112, 7639, 1510, 9436, 538, 938, 2732, 1107, 649, 1205, 621, 538, 519, 1106, 540, 3940, 563, 1692, 666, 1480, 5222, 593, 519, 9436, 4783, 581, 15286, 888, 2171, 666, 946, 1447, 14107, 269, 1284, 666, 1205, 7759, 540, 21137, 543, 824, 2010, 540, 5214, 2339, 883, 1114, 2127, 543, 711, 883, 1216, 1532, 3672, 267, 543, 649, 666, 1205, 7759, 540, 519, 8631, 538, 4025, 1141, 621, 786, 711, 1198, 4376, 610, 4896, 563, 8489, 616, 9436, 21338, 4551, 1336, 888, 301, 527, 4088, 1922, 30480, 4551, 616, 14471, 1459, 538, 519, 3037, 610, 538, 2030, 5072, 602, 1689, 9436, 9362, 689, 519, 5790, 883, 4396, 9436, 7135, 602, 2371, 666, 946, 538, 519, 3037, 269, 0, 298, 1446, 267, 844, 29184, 543, 979, 10202, 15708, 616, 519, 1166, 553, 1506, 6698, 540, 519, 2635, 4189, 3350, 855, 6628, 779, 1985, 19463, 15988, 797, 949, 581, 513, 1454, 811, 27217, 10448, 602, 1082, 540, 721, 2907, 723, 538, 938, 6539, 29353, 563, 306, 2297, 540, 17228, 616, 27333, 593, 519, 4473, 676, 909, 547, 476, 736, 829, 1298, 267, 609, 513, 21782, 538, 16306, 1373, 5532, 547, 741, 1072, 2640, 563, 300, 2313, 7741, 616, 711, 1152, 1970, 538, 8477, 543, 3170, 267, 855, 616, 3638, 538, 645, 8324, 267, 607, 1134, 607, 824, 5567, 602, 666, 2087, 938, 2960, 543, 948, 721, 1745, 1447, 13110, 267, 2687, 547, 1072, 4966, 563, 300, 2313, 7741, 616, 513, 2707, 540, 645, 8324, 267, 7601, 267, 562, 13519, 514, 267, 11379, 543, 8485, 5387, 799, 949, 581, 1946, 6455, 616, 865, 2130, 713, 1032, 454, 5415, 982, 476, 1556, 267, 1822, 19726, 540, 17228, 941, 4421, 538, 4728, 713, 1032, 4805, 267, 799, 1226, 919, 547, 476, 276, 4391, 5479, 540, 519, 13271, 563, 306, 1622, 12064, 779, 814, 849, 2938, 513, 1713, 4473, 267, 609, 6455, 540, 922, 570, 4292, 519, 16338, 1744, 527, 820, 631, 2313, 7741, 8375, 676, 476, 1626, 829, 1298, 267, 543, 6455, 540, 2027, 640, 17228, 971, 607, 23690, 3122, 543, 679, 758, 328, 865, 2130, 676, 476, 279, 829, 1298, 563, 307, 525, 1723, 5359, 621, 814, 849, 2938, 513, 1507, 4473, 540, 1063, 476, 273, 543, 476, 274, 829, 1298, 538, 519, 2063, 1032, 267, 799, 513, 22557, 2006, 1767, 1226, 919, 547, 513, 1906, 2929, 811, 10833, 540, 17228, 4421, 538, 519, 5177, 538, 519, 3105, 476, 1321, 3275, 563, 19604, 2917, 9335, 6484, 626, 10910, 1014, 12061, 19681, 6975, 3081, 596, 666, 1118, 17228, 513, 2707, 540, 6171, 667, 676, 13936, 873, 538, 519, 24106, 593, 513, 9486, 650, 454, 763, 631, 2313, 3336, 13163, 3494, 519, 4473, 538, 8560, 540, 13271, 568, 1813, 547, 741, 1072, 2640, 607, 6300, 11825, 1413, 585, 811, 2081, 547, 2087, 741, 11326, 563, 763, 8648, 3957, 873, 607, 922, 2048, 27273, 25988, 540, 519, 1032, 685, 713, 1032, 543, 25487, 22092, 525, 616, 713, 1032, 779, 5767, 737, 809, 344, 1072, 7678, 563, 19604, 2917, 9335, 6484, 626, 10910, 1014, 12061, 19681, 6975, 3081, 602, 17228, 2661, 909, 547, 741, 1007, 15988, 797, 6003, 1107, 543, 814, 513, 9133, 585, 875, 547, 1118, 873, 1256, 8902, 676, 13936, 873, 538, 519, 24106, 563, 9515, 5143, 674, 4932, 288, 6579, 5253, 261, 7804, 1074, 281, 2048, 6624, 17228, 616, 1434, 2959, 540, 31093, 267, 799, 2337, 547, 1489, 519, 4761, 1062, 543, 2061, 3441, 547, 2281, 543, 8031, 563, 305, 327, 1014, 12061, 779, 3109, 21167, 543, 25487, 28306, 328, 689, 1200, 1433, 267, 10910, 527, 761, 542, 454, 8072, 5445, 2461, 849, 513, 2707, 540, 7601, 267, 562, 13519, 514, 267, 11379, 543, 8485, 5387, 269, 3958, 267, 17228, 616, 513, 1434, 2707, 540, 20249, 267, 3940, 267, 6171, 595, 543, 4401, 563, 8072, 10303, 741, 2281, 6821, 616, 3768, 580, 652, 1043, 8259, 6534, 547, 3002, 267, 596, 1590, 3434, 17228, 547, 1205, 741, 9422, 2640, 563, 8072, 2080, 779, 513, 2370, 9133, 281, 1747, 873, 538, 519, 6885, 521, 650, 593, 513, 13566, 1554, 543, 538, 607, 2370, 607, 606, 5662, 610, 1079, 789, 1831, 513, 2707, 540, 6171, 667, 563, 8072, 2026, 17228, 616, 6738, 538, 14334, 519, 6727, 4598, 547, 11158, 1769, 1797, 519, 17228, 8670, 856, 6171, 667, 607, 606, 15934, 547, 2149, 2933, 689, 519, 3141, 269, 9255, 519, 4158, 575, 1571, 6849, 20005, 585, 5021, 2164, 19028, 300, 2313, 7741, 616, 849, 1767, 547, 581, 3638, 538, 645, 8324, 267, 799, 666, 948, 596, 1745, 1447, 13110, 543, 811, 10069, 2213, 563, 5445, 2461, 849, 513, 2707, 540, 10775, 1993, 15442, 514, 267, 799, 666, 948, 596, 723, 8902, 23302, 2960, 269, 0, 3963, 4010, 1705, 4858, 8676, 15093, 888, 295, 534, 529, 4954, 663, 281, 22858, 6625, 7711, 339, 29081, 281, 689, 2776, 15263, 454, 12024, 8567, 267, 17194, 267, 5771, 543, 13221, 267, 18420, 12851, 547, 519, 1158, 10764, 269, 898, 12090, 1472, 519, 476, 273, 526, 26992, 7460, 269, 4653, 972, 616, 5111, 476, 279, 3199, 2929, 13794, 540, 713, 4984, 5001, 269, 4107, 540, 873, 267, 1472, 476, 8517, 2929, 267, 2661, 538, 3127, 563, 5938, 778, 902, 540, 4984, 454, 299, 1824, 540, 24587, 454, 2791, 666, 1265, 519, 1297, 540, 13794, 540, 782, 2101, 10764, 538, 5125, 543, 5001, 896, 519, 20438, 834, 9824, 580, 542, 8487, 7312, 2055, 827, 713, 4429, 268, 4024, 649, 2479, 2196, 856, 540, 1648, 454, 268, 4208, 568, 16035, 513, 5277, 4496, 454, 268, 1548, 568, 519, 1650, 540, 7083, 32251, 454, 268, 1548, 616, 519, 1292, 3096, 585, 512, 4768, 710, 454, 268, 1548, 568, 4737, 5119, 454, 268, 4208, 616, 28052, 757, 5739, 547, 12748, 2831, 888, 268, 1215, 798, 594, 4734, 1250, 2025, 6197, 454, 268, 5808, 729, 681, 22857, 781, 5172, 19468, 548, 454, 268, 589, 32633, 4215, 3758, 568, 513, 3644, 454, 268, 1879, 729, 24211, 309, 1447, 827, 2575, 888, 268, 1772, 27127, 8213, 524, 9092, 454, 268, 1215, 798, 594, 2744, 2359, 1995, 454, 268, 4210, 902, 519, 7122, 454, 268, 1548, 2010, 540, 6009, 798, 15882, 2709, 454, 268, 1548, 568, 519, 1655, 681, 1794, 518, 15291, 585, 476, 6344, 271, 454, 268, 1548, 616, 519, 1193, 836, 652, 9909, 538, 1483, 942, 454, 268, 1548, 1281, 700, 9281, 1796, 585, 454, 268, 1548, 568, 519, 11641, 1852, 1184, 454, 268, 1772, 645, 12099, 3213, 514, 513, 1434, 5092, 454, 268, 1548, 798, 2879, 760, 619, 5957, 538, 4872, 454, 268, 15215, 538, 2489, 3587, 1932, 5010, 1242, 454, 268, 1548, 568, 519, 7537, 290, 476, 1321, 454, 268, 1548, 568, 513, 20037, 300, 4323, 454, 268, 1548, 786, 519, 1928, 540, 2669, 581, 0, 5319, 11602, 267, 8675, 267, 3092, 4700, 2376, 1806, 269, 5531, 519, 1739, 1344, 538, 1931, 1058, 3610, 4163, 15963, 1557, 547, 875, 547, 2253, 513, 1560, 5037, 538, 606, 1557, 13712, 538, 15986, 3898, 281, 875, 547, 13712, 1557, 538, 1433, 1634, 849, 607, 5339, 3594, 267, 1346, 3594, 593, 513, 1433, 666, 581, 1226, 730, 811, 610, 1447, 547, 513, 2413, 1554, 1433, 1867, 269, 16643, 538, 17856, 2564, 8047, 1870, 1544, 11239, 2511, 3096, 519, 2278, 781, 2063, 1434, 1913, 585, 1557, 1603, 2012, 543, 875, 547, 13712, 1557, 538, 1433, 519, 1032, 540, 8313, 267, 585, 1383, 281, 10123, 267, 2119, 547, 1592, 707, 4704, 538, 606, 21229, 12185, 5311, 2687, 547, 519, 11239, 2140, 540, 1433, 1496, 324, 22345, 518, 4528, 267, 952, 10858, 4940, 5705, 1856, 952, 1022, 269, 3040, 950, 19696, 3184, 610, 1603, 2123, 1557, 3184, 543, 14235, 267, 14841, 5573, 2835, 540, 519, 23573, 8259, 789, 3854, 10751, 4661, 1557, 2408, 693, 519, 4098, 875, 547, 13712, 1557, 538, 1433, 540, 519, 4845, 269, 538, 17856, 14327, 1331, 519, 3354, 2754, 1870, 1544, 2063, 2012, 540, 519, 2278, 4553, 676, 513, 2985, 1297, 20583, 538, 2123, 10388, 1557, 3584, 24324, 269, 2278, 540, 960, 281, 11963, 856, 519, 1433, 779, 2012, 950, 13288, 547, 621, 607, 513, 2898, 269, 519, 1931, 543, 3898, 540, 1344, 943, 323, 676, 5098, 1152, 5673, 593, 519, 11239, 2511, 596, 2461, 1210, 547, 1603, 513, 1686, 1557, 3932, 13712, 606, 1557, 1210, 15986, 3898, 267, 1331, 519, 2012, 540, 519, 2278, 543, 519, 2985, 875, 547, 2328, 10643, 1297, 540, 519, 2707, 596, 2461, 19696, 538, 519, 538, 17856, 11239, 269, 0, 18183, 12787, 543, 32468, 2747, 454, 259, 866, 269, 4817, 16179, 543, 14678, 4647, 713, 1957, 1631, 454, 763, 1957, 3096, 834, 27078, 582, 2747, 257, 676, 10197, 1157, 328, 267, 31550, 267, 543, 590, 16184, 619, 547, 1865, 2188, 602, 666, 2490, 4655, 883, 19908, 267, 476, 1015, 4128, 602, 16395, 3111, 267, 543, 1018, 9946, 666, 798, 547, 3247, 519, 4720, 540, 513, 15539, 563, 5804, 519, 7433, 281, 257, 10048, 6162, 2687, 547, 589, 10611, 269, 4432, 836, 990, 534, 723, 3875, 3681, 585, 6304, 950, 13882, 610, 7526, 8451, 1851, 741, 1016, 24002, 269, 898, 568, 711, 8209, 2312, 875, 9946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6272, 1210, 3059, 2645, 3079, 540, 2757, 3283, 269, 4495, 519, 1843, 568, 2966, 267, 621, 3587, 513, 834, 21020, 2203, 2437, 799, 5713, 607, 519, 4493, 585, 4152, 1114, 7653, 12303, 780, 1607, 6770, 721, 547, 4702, 13502, 269, 2991, 2870, 513, 21957, 2203, 267, 9858, 543, 8030, 1685, 4255, 1210, 7463, 6323, 2861, 6620, 4881, 3297, 891, 5863, 3301, 5867, 269, 1358, 18082, 3871, 971, 607, 2566, 267, 19089, 267, 3002, 4483, 267, 5714, 2095, 267, 543, 1454, 811, 676, 6061, 1950, 6310, 4834, 269, 1635, 3257, 865, 267, 789, 1265, 1761, 2152, 2038, 538, 519, 1184, 267, 9494, 1312, 942, 543, 2200, 780, 4913, 267, 972, 729, 2141, 4055, 585, 6454, 3823, 17356, 1063, 21957, 1949, 543, 11191, 2645, 269, 19296, 1185, 547, 7914, 998, 11876, 3591, 547, 6460, 741, 21957, 6119, 883, 12043, 24669, 676, 11191, 3301, 269, 24664, 1176, 267, 930, 13085, 8186, 1336, 513, 3070, 2439, 3528, 10128, 1079, 6909, 4066, 1107, 31226, 13521, 543, 32764, 302, 4916, 16510, 1107, 883, 513, 2582, 6531, 2861, 3760, 267, 789, 1500, 1272, 4443, 585, 782, 9858, 543, 8030, 856, 972, 269, 3767, 267, 4952, 1373, 2111, 547, 1930, 1022, 21957, 3758, 3898, 14678, 1369, 707, 5172, 1357, 11422, 1510, 17596, 3606, 11690, 1231, 610, 28085, 269, 16319, 7168, 15813, 267, 1318, 286, 1656, 7058, 1018, 3116, 286, 898, 849, 10597, 519, 8856, 543, 10727, 540, 519, 4611, 13502, 780, 4131, 781, 979, 1394, 547, 938, 25920, 4580, 1383, 269, 14597, 596, 2813, 513, 9735, 21957, 2203, 855, 14201, 1405, 2386, 952, 1978, 2694, 1131, 3180, 909, 1282, 15361, 610, 2834, 946, 269, 3143, 19048, 256, 3807, 14202, 707, 1374, 5196, 713, 9589, 3760, 267, 2196, 13502, 267, 543, 1205, 3407, 4030, 827, 4617, 2798, 610, 2127, 8506, 12381, 269, 3973, 13217, 707, 1374, 1759, 593, 1346, 4681, 543, 10956, 2394, 13854, 269, 1215, 3579, 568, 602, 2496, 1103, 5758, 267, 8441, 538, 21957, 543, 4702, 13502, 7668, 9858, 543, 8030, 547, 1020, 5499, 2472, 5488, 267, 14949, 267, 543, 10930, 982, 2479, 1354, 269, 1924, 1985, 942, 596, 1294, 513, 31933, 1286, 267, 14952, 748, 6189, 267, 610, 13777, 22618, 3926, 267, 3314, 602, 8458, 616, 1164, 621, 729, 4535, 3330, 513, 2780, 7064, 547, 21957, 543, 11191, 4066, 2324, 1688, 538, 1688, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8245, 306, 7051, 717, 3387, 295, 12462, 8245, 306, 7051, 25257, 519, 8502, 540, 519, 2407, 12641, 3716, 4702, 11191, 3760, 267, 2221, 9307, 513, 5698, 609, 13961, 655, 839, 12813, 300, 12229, 543, 15306, 9941, 476, 274, 291, 547, 11126, 519, 11191, 20104, 998, 1732, 21957, 2203, 7829, 269, 3244, 306, 7051, 786, 3142, 519, 2640, 540, 13961, 655, 839, 685, 31226, 13521, 10378, 3301, 543, 32764, 302, 4916, 16510, 547, 513, 11422, 2861, 11404, 292, 563, 763, 5767, 5305, 540, 3244, 306, 7051, 267, 2139, 16172, 267, 786, 11753, 31226, 13521, 543, 32764, 302, 4916, 16510, 547, 5512, 513, 811, 10375, 543, 15774, 11191, 20104, 267, 1247, 693, 519, 1482, 942, 2417, 2810, 11191, 1267, 6111, 1765, 18485, 538, 674, 12788, 543, 18435, 291, 563, 2108, 5978, 5075, 693, 3244, 306, 7051, 568, 547, 5512, 1169, 14704, 543, 11653, 547, 1491, 2407, 5413, 540, 4702, 11191, 1765, 785, 8817, 540, 6578, 267, 8800, 543, 917, 24376, 269, 901, 2882, 15774, 954, 6016, 1464, 609, 519, 6075, 779, 21957, 1062, 607, 1134, 607, 3728, 267, 7347, 543, 4977, 7041, 540, 21957, 1239, 547, 3035, 6325, 11191, 2164, 3533, 269, 23889, 31226, 13521, 543, 32764, 302, 4916, 16510, 786, 948, 721, 3035, 1175, 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, 634, 4425, 558, 19087, 267, 849, 1634, 607, 519, 17926, 4425, 9593, 5108, 267, 4016, 547, 1346, 2043, 4535, 1063, 476, 3707, 277, 543, 476, 3422, 275, 269, 901, 1974, 6825, 513, 1713, 2333, 538, 4332, 3928, 1739, 2622, 2782, 4083, 267, 3056, 547, 513, 15295, 22820, 602, 8032, 7239, 1472, 519, 1158, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 713, 1252, 1049, 20165, 814, 1044, 17814, 538, 3162, 1977, 3332, 267, 4481, 998, 519, 7828, 540, 5708, 269, 1284, 786, 4983, 519, 2686, 267, 3140, 267, 543, 2797, 8658, 602, 6766, 519, 2833, 543, 5380, 540, 891, 3197, 267, 607, 1134, 607, 741, 1764, 593, 4207, 2486, 780, 2414, 2253, 267, 1577, 721, 2015, 519, 1523, 540, 519, 834, 289, 7112, 19087, 257, 3294, 269, 1452, 2043, 3357, 540, 2085, 1282, 513, 942, 540, 4028, 1514, 1689, 543, 30331, 10052, 269, 1358, 4810, 519, 3540, 2924, 3350, 267, 519, 10476, 2782, 267, 543, 519, 4473, 540, 22158, 267, 1851, 824, 13710, 2621, 269, 1306, 971, 267, 789, 2919, 513, 2189, 1305, 540, 2418, 543, 8456, 602, 11651, 3022, 689, 1346, 540, 3105, 5481, 269, 769, 1880, 267, 1082, 2818, 540, 519, 4425, 558, 19087, 17947, 23141, 267, 1582, 22325, 267, 543, 2123, 20106, 267, 1419, 693, 519, 13258, 540, 2757, 6848, 6788, 780, 1607, 8561, 593, 1367, 1143, 666, 581, 2938, 538, 519, 14070, 1568, 540, 3162, 1977, 4589, 269, 1280, 1383, 267, 1772, 8475, 2353, 29868, 781, 3209, 834, 763, 5600, 540, 519, 9454, 1080, 257, 2934, 27262, 1642, 966, 4150, 267, 513, 1915, 945, 24151, 1082, 540, 519, 7907, 2404, 609, 519, 4425, 558, 19087, 269, 27262, 568, 513, 1863, 6891, 945, 7947, 338, 6671, 4008, 5107, 543, 5083, 1132, 1200, 1378, 4690, 267, 1519, 5289, 1143, 543, 804, 1515, 341, 1195, 766, 269, 3414, 27262, 267, 2353, 29868, 7710, 519, 8082, 1063, 1367, 5191, 543, 7104, 5539, 267, 10223, 519, 2591, 5185, 676, 1346, 945, 3343, 547, 4161, 6848, 8155, 780, 5194, 1883, 6249, 538, 3162, 1977, 5708, 7231, 609, 519, 4425, 558, 19087, 568, 519, 9371, 540, 19525, 543, 22030, 269, 3509, 2818, 540, 713, 5108, 3357, 540, 2085, 1282, 513, 1974, 540, 7920, 2797, 24187, 543, 1514, 19727, 267, 607, 2477, 2429, 519, 3148, 17388, 547, 7682, 741, 7115, 543, 5581, 741, 3084, 9163, 269, 901, 6560, 568, 10630, 538, 519, 960, 540, 14861, 710, 2278, 7325, 1470, 23634, 5451, 345, 541, 267, 4171, 2110, 1650, 834, 288, 343, 565, 582, 331, 257, 7710, 519, 2078, 1063, 3935, 6500, 543, 32519, 269, 1635, 18995, 513, 5375, 518, 945, 3587, 18930, 539, 609, 513, 9490, 267, 9813, 13442, 267, 23634, 5451, 345, 541, 19156, 519, 1379, 6384, 602, 896, 12340, 7810, 3347, 543, 519, 2081, 538, 799, 789, 3136, 547, 3337, 4207, 2486, 780, 4263, 519, 1482, 942, 267, 2705, 267, 519, 4425, 558, 19087, 849, 4564, 513, 2736, 609, 519, 2250, 267, 607, 1082, 2818, 8179, 547, 1711, 1007, 3029, 540, 1148, 543, 2528, 602, 10630, 741, 2189, 2833, 543, 5380, 269, 769, 8478, 267, 585, 3236, 267, 519, 570, 22241, 5451, 20377, 3350, 7153, 538, 519, 3735, 476, 3422, 271, 338, 607, 513, 3210, 547, 1312, 6469, 6214, 543, 3486, 7506, 269, 27439, 676, 12372, 899, 14642, 23688, 656, 525, 543, 16500, 828, 1729, 16500, 267, 570, 22241, 5451, 20377, 5916, 2609, 540, 2757, 19384, 2575, 609, 4224, 267, 20369, 3481, 20782, 267, 543, 1285, 656, 3766, 31938, 2553, 547, 1711, 513, 12050, 267, 5499, 3280, 602, 13934, 3964, 14908, 543, 6788, 269, 6684, 267, 3308, 5159, 899, 670, 2946, 331, 1470, 744, 12792, 3821, 543, 10370, 22468, 18412, 14593, 519, 6302, 540, 17001, 543, 10380, 1148, 267, 6220, 1336, 3615, 543, 7317, 2609, 547, 4497, 13588, 538, 1007, 543, 6397, 2081, 780, 8170, 1576, 267, 519, 4425, 558, 19087, 568, 711, 1510, 922, 13915, 269, 2368, 8044, 602, 519, 8561, 593, 1367, 1143, 543, 1582, 22325, 814, 3366, 547, 513, 27929, 267, 11046, 1242, 2486, 538, 799, 2146, 13218, 543, 3838, 2418, 723, 2144, 10757, 269, 11524, 25077, 602, 519, 4425, 558, 19087, 781, 18349, 540, 2245, 814, 8507, 538, 513, 2530, 540, 2686, 6561, 543, 3140, 3965, 269, 12846, 267, 1866, 1448, 547, 519, 5571, 23543, 540, 19525, 543, 8635, 602, 3136, 547, 20575, 519, 3148, 267, 19163, 602, 519, 4425, 558, 19087, 781, 1445, 593, 2123, 19802, 814, 2944, 2370, 547, 2232, 891, 4514, 7293, 2152, 780, 8601, 891, 30852, 267, 972, 568, 1100, 27102, 519, 7096, 1764, 602, 519, 4425, 558, 19087, 814, 1185, 593, 3162, 1977, 3332, 543, 2528, 811, 17618, 269, 3245, 519, 11944, 540, 1007, 7499, 5322, 547, 519, 3408, 540, 10296, 1514, 543, 2797, 2055, 267, 519, 4425, 558, 19087, 814, 2451, 606, 30170, 1665, 593, 519, 3148, 781, 2686, 5251, 269, 5047, 267, 607, 2818, 540, 713, 5108, 4283, 741, 1000, 559, 697, 1296, 267, 789, 3136, 547, 20920, 609, 519, 1950, 23543, 540, 741, 6107, 267, 5356, 4030, 883, 519, 11972, 1379, 540, 1148, 543, 9345, 547, 3337, 938, 2729, 543, 2950, 780, 1103, 3932, 267, 713, 1576, 1770, 814, 8268, 519, 6041, 540, 519, 4425, 558, 19087, 538, 3162, 1977, 5708, 267, 6313, 519, 2081, 538, 799, 4589, 723, 12066, 1194, 609, 519, 2189, 3140, 267, 2686, 267, 543, 2797, 8658, 602, 8032, 713, 1252, 1049, 20165, 269, 3414, 2673, 13220, 540, 5339, 5931, 267, 7811, 10850, 267, 543, 2565, 9382, 267, 649, 723, 8179, 547, 1174, 519, 3309, 2833, 543, 5380, 540, 519, 4425, 558, 19087, 267, 607, 1134, 607, 741, 5571, 10083, 547, 4207, 2486, 269, 6787, 9763, 607, 513, 3196, 585, 5647, 543, 3356, 610, 513, 2707, 540, 6498, 543, 20247, 6327, 267, 519, 4425, 558, 19087, 3788, 513, 4105, 543, 8903, 1858, 540, 1353, 585, 5640, 540, 3162, 1977, 3332, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 10789, 27528, 2983, 2210, 4471, 281, 661, 710, 661, 8882, 6686, 15590, 2426, 476, 2735, 280, 454, 28785, 585, 519, 4647, 10789, 27528, 2983, 2210, 4471, 281, 661, 710, 540, 7260, 855, 621, 729, 2484, 6884, 827, 269, 594, 3323, 513, 4670, 602, 4718, 856, 538, 519, 3119, 13755, 24329, 610, 1514, 7403, 827, 513, 1804, 10034, 1222, 2921, 538, 519, 11571, 269, 1261, 21128, 513, 4835, 2013, 945, 6799, 1864, 1175, 568, 269, 2701, 568, 1031, 676, 513, 5876, 945, 16921, 547, 9684, 1200, 547, 3314, 513, 9682, 540, 3750, 1282, 513, 1480, 7836, 17408, 14162, 619, 269, 1261, 729, 562, 1405, 2282, 519, 3283, 5266, 269, 594, 1223, 8263, 602, 1267, 729, 9415, 269, 594, 1185, 3982, 569, 1044, 1864, 616, 607, 269, 594, 1058, 1205, 14281, 602, 827, 267, 594, 616, 269, 594, 723, 602, 29315, 7475, 803, 267, 543, 594, 616, 11184, 6424, 25020, 8952, 269, 594, 729, 4547, 602, 646, 1131, 723, 827, 267, 607, 646, 4371, 1031, 3143, 711, 269, 898, 941, 8743, 1194, 513, 3544, 2069, 1247, 621, 5828, 269, 769, 476, 4489, 272, 267, 7977, 729, 519, 1360, 4647, 547, 581, 6821, 538, 16173, 269, 898, 729, 538, 513, 2079, 609, 11894, 543, 941, 20576, 3604, 593, 3561, 29322, 689, 519, 9819, 269, 5171, 3576, 5023, 12328, 269, 2755, 621, 568, 4647, 10789, 27528, 2983, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 4425, 558, 19087, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 3162, 3013, 630, 14197, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 22226, 3004, 1080, 281, 10289, 5369, 14527, 692, 7072, 912, 5970, 596, 2479, 9289, 1946, 1004, 13789, 8335, 286, 4208, 798, 930, 1004, 3100, 547, 2760, 1246, 3652, 1247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32009, 267, 799, 568, 899, 513, 17895, 12386, 540, 513, 2695, 573, 267, 865, 621, 779, 3833, 513, 22300, 3364, 563, 293, 6136, 267, 6004, 19453, 729, 513, 4759, 540, 8093, 1895, 593, 9365, 269, 2060, 519, 948, 540, 602, 1895, 6004, 19453, 2968, 2111, 547, 2697, 519, 4681, 269, 634, 1895, 4857, 519, 15455, 607, 1034, 899, 513, 681, 1872, 6242, 14147, 267, 6059, 547, 581, 1063, 476, 25172, 268, 4366, 279, 2929, 1296, 2025, 563, 16031, 19453, 6045, 912, 10527, 1974, 602, 789, 11478, 689, 729, 1063, 476, 4335, 2929, 543, 476, 25172, 2929, 1296, 3516, 267, 519, 19232, 32223, 5736, 269, 4789, 693, 519, 942, 729, 851, 540, 623, 1052, 320, 267, 513, 2244, 21346, 540, 17407, 269, 4789, 729, 782, 14015, 607, 1134, 269, 1358, 2161, 596, 666, 1265, 15455, 9170, 952, 596, 1413, 5402, 2614, 267, 855, 547, 1265, 513, 3648, 1804, 4062, 899, 602, 267, 568, 3833, 2189, 3034, 299, 1824, 543, 6266, 540, 1004, 723, 29499, 593, 875, 5863, 621, 568, 547, 1265, 1945, 899, 713, 538, 519, 1394, 4677, 269, 5213, 1406, 596, 849, 1265, 621, 5863, 547, 3605, 1945, 899, 713, 538, 707, 4677, 286, 7490, 1577, 803, 917, 538, 519, 8292, 2630, 256, 0, 1432, 568, 519, 2796, 540, 513, 1184, 454, 23330, 908, 7010, 630, 23330, 908, 3590, 7869, 264, 910, 3848, 476, 274, 910, 22948, 543, 27387, 338, 454, 6944, 757, 540, 3220, 269, 661, 269, 24385, 984, 5500, 327, 454, 272, 264, 513, 1184, 24867, 2532, 264, 568, 606, 11056, 540, 519, 1982, 538, 922, 1378, 1184, 1604, 269, 634, 1184, 568, 513, 3844, 1523, 540, 6252, 4393, 538, 5665, 1062, 3069, 563, 273, 264, 2290, 6713, 1604, 27562, 29025, 1604, 267, 11056, 1604, 264, 5161, 540, 519, 1184, 2796, 543, 8655, 2200, 563, 274, 264, 513, 4199, 263, 4910, 1545, 264, 666, 581, 8800, 610, 606, 1344, 1770, 269, 634, 1739, 2200, 666, 581, 8655, 547, 1142, 1184, 912, 268, 15932, 1569, 3965, 2676, 268, 824, 2200, 281, 1930, 6119, 267, 931, 3421, 267, 3060, 4296, 267, 3092, 563, 275, 264, 513, 6713, 2796, 529, 513, 2143, 6609, 540, 519, 1184, 912, 268, 19193, 9115, 2676, 268, 17372, 2230, 6609, 2676, 268, 13517, 540, 519, 8655, 2200, 2676, 268, 8556, 13577, 1239, 4835, 547, 519, 5665, 1062, 563, 276, 264, 513, 1982, 529, 513, 27564, 7939, 585, 1239, 4393, 563, 268, 589, 1982, 568, 851, 540, 519, 1184, 1604, 563, 268, 589, 1880, 1982, 666, 581, 13401, 676, 1896, 3157, 563, 277, 264, 513, 2816, 22829, 11970, 267, 3498, 264, 568, 513, 3593, 7662, 547, 519, 5665, 1062, 563, 268, 589, 2816, 666, 2874, 540, 835, 610, 811, 3157, 563, 268, 22868, 616, 4830, 543, 6870, 689, 1866, 563, 272, 264, 2353, 3301, 568, 6896, 607, 513, 1305, 540, 3157, 563, 273, 264, 634, 5665, 1062, 5932, 606, 21903, 585, 1169, 1184, 602, 621, 814, 519, 3003, 2780, 2139, 547, 3294, 269, 901, 2192, 639, 800, 9498, 729, 7691, 998, 1617, 527, 27965, 563, 274, 264, 5272, 1184, 1281, 711, 5469, 1022, 954, 8306, 267, 1152, 519, 942, 8488, 563, 275, 264, 3962, 1184, 568, 6870, 689, 824, 3157, 563, 272, 264, 513, 20111, 265, 910, 31088, 6513, 13332, 630, 31088, 12745, 13332, 264, 568, 7307, 676, 519, 5665, 1062, 547, 4383, 513, 1184, 563, 288, 20111, 568, 513, 6041, 540, 513, 1184, 543, 3568, 922, 1184, 2796, 269, 273, 264, 634, 6713, 3349, 529, 7307, 676, 519, 29172, 585, 519, 2359, 540, 3157, 543, 3568, 20111, 338, 689, 782, 3157, 563, 2005, 666, 849, 581, 8045, 607, 513, 1592, 563, 23777, 673, 1344, 538, 513, 20111, 454, 272, 269, 19193, 9115, 912, 268, 7193, 910, 5358, 22388, 2676, 268, 13662, 310, 910, 5358, 21073, 6478, 2676, 268, 9501, 910, 10518, 24072, 2676, 268, 2489, 27861, 563, 273, 269, 6176, 585, 4859, 2359, 912, 268, 8525, 3349, 2232, 2676, 268, 12476, 11578, 9115, 2676, 268, 21940, 776, 11578, 9115, 2676, 268, 17372, 525, 547, 3009, 267, 1239, 543, 10518, 12415, 540, 519, 1184, 267, 3092, 563, 274, 269, 13517, 540, 519, 8655, 3937, 912, 268, 6176, 585, 3758, 2359, 281, 3758, 6934, 832, 267, 1753, 15682, 267, 2324, 15682, 267, 3092, 563, 268, 8416, 4296, 2676, 268, 21248, 3457, 267, 3092, 563, 275, 269, 6713, 2359, 1239, 4835, 547, 519, 5665, 1062, 912, 268, 6713, 1297, 630, 303, 2839, 268, 31088, 9517, 550, 2305, 994, 268, 6713, 4567, 267, 552, 3052, 269, 3742, 267, 4712, 267, 17808, 2676, 268, 13405, 640, 585, 20319, 2676, 268, 6713, 528, 942, 1031, 2094, 519, 1376, 2676, 268, 6713, 1297, 540, 519, 2385, 1184, 630, 13048, 2839, 267, 9977, 623, 2839, 1070, 3092, 563, 22382, 5915, 334, 476, 272, 563, 26239, 11618, 281, 1184, 6467, 267, 2796, 6467, 267, 2796, 6467, 267, 1184, 6467, 267, 4305, 6467, 563, 10521, 3157, 616, 3238, 538, 519, 1184, 1689, 912, 268, 519, 17735, 1184, 602, 729, 3742, 1354, 519, 954, 8306, 267, 543, 454, 268, 519, 15181, 1184, 602, 729, 29680, 1354, 519, 954, 8306, 269, 634, 15181, 1184, 729, 5697, 676, 519, 11674, 518, 563, 10521, 2200, 616, 3238, 538, 519, 1184, 1689, 912, 268, 17765, 11578, 543, 454, 268, 15932, 1569, 3965, 563, 27087, 540, 11578, 9115, 454, 1607, 6467, 5161, 540, 2796, 19307, 543, 2796, 6051, 563, 263, 272, 264, 2311, 519, 12745, 4027, 263, 3519, 3667, 9494, 264, 11578, 9115, 540, 519, 17735, 1184, 1590, 581, 10710, 865, 602, 789, 666, 581, 17468, 2663, 563, 268, 634, 14443, 2796, 568, 10710, 689, 519, 10518, 538, 519, 20111, 563, 268, 4033, 11578, 9115, 616, 10710, 689, 519, 17765, 538, 519, 20111, 563, 263, 273, 264, 2311, 519, 12745, 6051, 2958, 3563, 9115, 540, 519, 15181, 1184, 616, 17468, 267, 1775, 4318, 269, 23652, 689, 519, 20111, 547, 519, 17765, 563, 27087, 540, 3965, 9115, 454, 1607, 1689, 3217, 1747, 552, 3052, 269, 538, 519, 2780, 609, 5691, 3965, 563, 2691, 4657, 519, 1184, 912, 263, 274, 264, 930, 3965, 2127, 540, 519, 17735, 1184, 616, 2220, 11474, 856, 543, 454, 263, 275, 264, 930, 2232, 2230, 2127, 540, 519, 15181, 1184, 666, 581, 16041, 689, 519, 2182, 12210, 547, 3965, 607, 2838, 563, 290, 516, 566, 543, 26694, 540, 519, 1184, 454, 2467, 616, 513, 1906, 2081, 547, 1711, 513, 1007, 1184, 912, 268, 693, 1062, 1376, 267, 552, 3052, 269, 7329, 548, 1184, 2676, 268, 676, 3593, 7662, 267, 552, 3052, 269, 4699, 323, 23641, 2676, 268, 676, 1062, 1289, 538, 519, 4881, 1184, 267, 552, 3052, 269, 23643, 538, 6167, 21197, 610, 8073, 31088, 538, 8837, 2676, 268, 676, 1062, 1289, 585, 16801, 2816, 267, 552, 3052, 269, 16801, 2816, 563, 2467, 616, 513, 1906, 2081, 547, 2165, 3729, 513, 1184, 912, 268, 17319, 26694, 676, 1062, 1289, 267, 552, 3052, 269, 14827, 538, 6167, 21197, 610, 14827, 1184, 538, 8837, 3248, 268, 32246, 26694, 676, 519, 1062, 1813, 547, 519, 5470, 267, 552, 3052, 269, 15972, 3248, 268, 32246, 26694, 676, 1776, 1184, 267, 552, 3052, 269, 6146, 563, 22382, 5915, 334, 476, 273, 563, 22382, 5915, 334, 476, 274, 563, 288, 1184, 4422, 998, 1585, 2829, 1282, 922, 10715, 269, 589, 2596, 2203, 3568, 1614, 2829, 912, 272, 264, 15765, 630, 784, 21749, 267, 4881, 1040, 634, 1184, 22595, 519, 17765, 269, 769, 513, 2582, 16267, 1062, 267, 1152, 835, 1184, 666, 581, 538, 713, 1533, 693, 1022, 2016, 942, 563, 273, 264, 27973, 547, 5173, 269, 634, 1184, 568, 7996, 585, 17765, 14305, 563, 274, 264, 13332, 539, 630, 11445, 1746, 267, 17808, 1040, 634, 1184, 568, 7996, 585, 606, 2680, 267, 552, 3052, 1547, 912, 268, 1401, 2869, 344, 540, 513, 1974, 540, 942, 799, 519, 1184, 3294, 814, 20827, 267, 552, 3052, 269, 3207, 2676, 268, 2353, 6327, 540, 513, 4199, 824, 982, 17765, 2676, 268, 24606, 689, 1776, 1184, 563, 8448, 1184, 2829, 616, 849, 2009, 538, 1808, 5665, 1949, 563, 2467, 616, 519, 1739, 13289, 1063, 519, 2829, 538, 519, 2596, 2203, 912, 263, 272, 264, 17527, 269, 634, 3742, 1184, 13847, 519, 17765, 1317, 621, 568, 7996, 585, 606, 2680, 267, 552, 3052, 269, 585, 606, 3403, 269, 634, 1184, 568, 17808, 563, 263, 273, 264, 2598, 10293, 630, 1372, 716, 10474, 267, 840, 18277, 267, 954, 8306, 540, 10862, 1040, 634, 17765, 568, 32585, 689, 519, 3742, 1184, 267, 552, 3052, 269, 1310, 519, 14443, 689, 519, 22245, 563, 263, 274, 264, 2353, 6327, 630, 716, 10675, 1040, 634, 17765, 568, 8655, 547, 519, 1184, 563, 263, 275, 264, 654, 820, 909, 630, 342, 820, 1575, 267, 796, 4565, 12177, 1040, 634, 2601, 585, 17527, 568, 5950, 1317, 519, 4199, 568, 2139, 563, 1320, 1348, 338, 616, 6252, 2238, 538, 513, 1184, 563, 26239, 11618, 281, 16060, 267, 22204, 267, 1769, 2597, 3157, 630, 299, 310, 303, 1916, 21995, 2856, 281, 634, 3003, 7384, 960, 540, 513, 1184, 568, 5258, 883, 1896, 2238, 267, 799, 666, 2196, 538, 6252, 563, 288, 1257, 1062, 630, 324, 3052, 269, 9786, 6478, 264, 666, 581, 7561, 6252, 1242, 1210, 2185, 16060, 912, 272, 264, 4283, 1257, 2676, 273, 264, 2638, 10259, 2676, 274, 264, 1374, 1899, 1315, 2985, 9397, 2676, 275, 264, 21237, 1711, 513, 19307, 5299, 593, 519, 12210, 269, 2353, 2185, 3157, 960, 1927, 609, 513, 1257, 3561, 563, 272, 264, 589, 8142, 568, 606, 11056, 540, 513, 851, 540, 513, 1982, 563, 273, 264, 3962, 8142, 12851, 547, 513, 1808, 1184, 563, 274, 264, 5272, 1184, 17697, 569, 3568, 693, 2547, 835, 8142, 563, 275, 264, 3962, 1184, 666, 5352, 1022, 1297, 540, 16060, 563, 276, 264, 2353, 16060, 540, 513, 1184, 666, 581, 13401, 538, 6252, 630, 335, 12065, 334, 24733, 5537, 1040, 476, 277, 264, 27387, 814, 2829, 630, 5562, 267, 4712, 547, 12337, 267, 17808, 1916, 278, 264, 27387, 814, 922, 1378, 11578, 1305, 543, 922, 1378, 10518, 563, 279, 264, 2353, 16060, 540, 513, 1184, 723, 513, 1455, 1184, 1604, 267, 552, 3052, 269, 519, 1482, 2232, 2230, 267, 519, 1482, 1930, 6119, 267, 3092, 563, 280, 264, 3962, 8142, 568, 711, 6870, 1996, 824, 16060, 538, 713, 1184, 563, 20225, 9653, 540, 4199, 2359, 543, 16267, 2359, 454, 763, 2200, 616, 3838, 1063, 519, 1184, 543, 519, 16060, 912, 272, 264, 589, 1184, 22595, 782, 2200, 4849, 27861, 543, 10518, 563, 273, 264, 3962, 8142, 814, 922, 1378, 11578, 1305, 543, 922, 1378, 10518, 269, 634, 17765, 568, 711, 8655, 547, 519, 1184, 855, 547, 519, 16060, 563, 274, 264, 634, 1184, 22595, 519, 2200, 267, 519, 8142, 4291, 2373, 519, 3009, 563, 288, 8142, 2796, 568, 2322, 1927, 538, 519, 865, 10777, 8142, 1852, 3625, 630, 12839, 289, 2187, 272, 264, 8142, 8446, 2676, 273, 264, 8142, 4567, 630, 5562, 267, 4712, 547, 12337, 267, 17808, 13211, 274, 264, 10862, 585, 20319, 2676, 275, 264, 11578, 9115, 2676, 276, 264, 7313, 5793, 547, 20111, 267, 3092, 563, 288, 20111, 1287, 1281, 711, 2270, 1022, 11578, 1543, 543, 568, 4389, 9935, 563, 7049, 3130, 543, 26694, 540, 519, 8142, 454, 272, 264, 1403, 513, 1184, 568, 2813, 267, 621, 2488, 606, 11056, 1604, 585, 16060, 269, 634, 3009, 540, 519, 1184, 568, 13401, 676, 513, 8142, 630, 27146, 776, 8142, 264, 602, 568, 8850, 2813, 2059, 609, 519, 1184, 563, 10376, 8142, 666, 1711, 3606, 16060, 602, 4866, 547, 519, 1482, 1184, 563, 273, 264, 3962, 8142, 666, 2165, 3729, 3294, 610, 581, 2165, 3990, 676, 1776, 8142, 269, 1403, 519, 3119, 8142, 568, 2165, 3990, 267, 519, 3003, 1184, 568, 2165, 3990, 563, 4415, 1184, 26694, 267, 782, 540, 922, 16060, 616, 849, 2165, 3990, 563, 22382, 5915, 334, 476, 275, 563, 22382, 5915, 334, 476, 276, 563, 26794, 543, 11393, 540, 16060, 454, 272, 264, 12861, 267, 2165, 3215, 267, 14379, 543, 4657, 519, 2796, 540, 16060, 616, 1454, 5488, 982, 609, 3157, 269, 901, 568, 1141, 519, 2165, 17426, 3157, 2501, 689, 563, 273, 264, 634, 2796, 1689, 3217, 1747, 3226, 1419, 269, 589, 8142, 2796, 6467, 568, 5111, 476, 1911, 2053, 5488, 982, 513, 1184, 2796, 6467, 563, 347, 3721, 338, 538, 4657, 2796, 1475, 31088, 1689, 1475, 1320, 1348, 1689, 2008, 347, 27087, 519, 4859, 2359, 3349, 1475, 266, 1475, 268, 2008, 347, 3725, 2897, 3965, 2127, 1475, 266, 1475, 268, 2008, 347, 10387, 696, 3539, 543, 882, 1933, 532, 519, 21461, 1475, 266, 1475, 268, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10482, 276, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4097, 815, 476, 10482, 277, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 3374, 815, 476, 10482, 278, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3607, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 3607, 815, 476, 10482, 279, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4391, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4391, 815, 476, 10482, 280, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4343, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4343, 815, 476, 11820, 271, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4375, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4375, 815, 476, 11820, 272, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25953, 912, 1038, 1820, 3488, 3393, 273, 266, 25953, 815, 476, 11820, 273, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 272, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 272, 815, 476, 11820, 274, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 273, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 273, 815, 476, 11820, 275, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 274, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 274, 815, 476, 11820, 276, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4510, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4510, 815, 476, 11820, 277, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3393, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 3393, 815, 476, 11820, 278, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 277, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 277, 815, 476, 11820, 279, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 278, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 278, 815, 476, 11820, 280, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4366, 912, 1038, 1820, 3488, 3393, 273, 266, 277, 4366, 815, 476, 8099, 271, 5073, 825, 952, 1003, 272, 2652, 476, 3393, 273, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 280, 912, 1038, 1820, 3488, 3393, 273, 266, 5038, 280, 815, 476, 8099, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7785, 912, 1038, 1820, 3488, 28526, 266, 7785, 815, 476, 10755, 274, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 31430, 912, 1038, 1820, 3488, 28526, 266, 31430, 815, 476, 10755, 275, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 273, 912, 1038, 1820, 3488, 28526, 266, 2568, 273, 815, 476, 10755, 276, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 274, 912, 1038, 1820, 3488, 28526, 266, 2568, 274, 815, 476, 10755, 277, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 275, 912, 1038, 1820, 3488, 28526, 266, 2568, 275, 815, 476, 10755, 278, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 276, 912, 1038, 1820, 3488, 28526, 266, 2568, 276, 815, 476, 10755, 279, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 277, 912, 1038, 1820, 3488, 28526, 266, 2568, 277, 815, 476, 10755, 280, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 278, 912, 1038, 1820, 3488, 28526, 266, 2568, 278, 815, 476, 11793, 271, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 279, 912, 1038, 1820, 3488, 28526, 266, 2568, 279, 815, 476, 11793, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 280, 912, 1038, 1820, 3488, 28526, 266, 2568, 280, 815, 476, 11793, 273, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 29637, 912, 1038, 1820, 3488, 28526, 266, 29637, 815, 476, 11793, 274, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1556, 912, 1038, 1820, 3488, 28526, 266, 277, 1556, 815, 476, 11793, 275, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1321, 912, 1038, 1820, 3488, 28526, 266, 277, 1321, 815, 476, 11793, 276, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1724, 912, 1038, 1820, 3488, 28526, 266, 277, 1724, 815, 476, 11793, 277, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1691, 912, 1038, 1820, 3488, 28526, 266, 277, 1691, 815, 476, 11793, 278, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1428, 912, 1038, 1820, 3488, 28526, 266, 277, 1428, 815, 476, 11793, 279, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1626, 912, 1038, 1820, 3488, 28526, 266, 277, 1626, 815, 476, 11793, 280, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1704, 912, 1038, 1820, 3488, 28526, 266, 277, 1704, 815, 476, 13040, 271, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1240, 912, 1038, 1820, 3488, 28526, 266, 277, 1240, 815, 476, 13040, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 866, 912, 1038, 1820, 3488, 28526, 266, 277, 866, 815, 476, 13040, 273, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30663, 912, 1038, 1820, 3488, 28526, 266, 30663, 815, 476, 13040, 274, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2641, 912, 1038, 1820, 3488, 28526, 266, 277, 2641, 815, 476, 13040, 275, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25118, 912, 1038, 1820, 3488, 28526, 266, 25118, 815, 476, 13040, 276, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2537, 912, 1038, 1820, 3488, 28526, 266, 277, 2537, 815, 476, 13040, 277, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2190, 912, 1038, 1820, 3488, 28526, 266, 277, 2190, 815, 476, 13040, 278, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 27698, 912, 1038, 1820, 3488, 28526, 266, 27698, 815, 476, 13040, 279, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2918, 912, 1038, 1820, 3488, 28526, 266, 277, 2918, 815, 476, 13040, 280, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2767, 912, 1038, 1820, 3488, 28526, 266, 277, 2767, 815, 476, 10482, 271, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2764, 912, 1038, 1820, 3488, 28526, 266, 277, 2764, 815, 476, 10482, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3066, 912, 1038, 1820, 3488, 28526, 266, 277, 3066, 815, 476, 10482, 273, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30697, 912, 1038, 1820, 3488, 28526, 266, 30697, 815, 476, 10482, 274, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4029, 912, 1038, 1820, 3488, 28526, 266, 277, 4029, 815, 476, 10482, 275, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3953, 912, 1038, 1820, 3488, 28526, 266, 277, 3953, 815, 476, 10482, 276, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3451, 912, 1038, 1820, 3488, 28526, 266, 277, 3451, 815, 476, 10482, 277, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 28526, 266, 277, 4097, 815, 476, 10482, 278, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820, 3488, 28526, 266, 277, 3374, 815, 476, 10482, 279, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3607, 912, 1038, 1820, 3488, 28526, 266, 277, 3607, 815, 476, 10482, 280, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4391, 912, 1038, 1820, 3488, 28526, 266, 277, 4391, 815, 476, 11820, 271, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4343, 912, 1038, 1820, 3488, 28526, 266, 277, 4343, 815, 476, 11820, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4375, 912, 1038, 1820, 3488, 28526, 266, 277, 4375, 815, 476, 11820, 273, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25953, 912, 1038, 1820, 3488, 28526, 266, 25953, 815, 476, 11820, 274, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 272, 912, 1038, 1820, 3488, 28526, 266, 5038, 272, 815, 476, 11820, 275, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 273, 912, 1038, 1820, 3488, 28526, 266, 5038, 273, 815, 476, 11820, 276, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 274, 912, 1038, 1820, 3488, 28526, 266, 5038, 274, 815, 476, 11820, 277, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4510, 912, 1038, 1820, 3488, 28526, 266, 277, 4510, 815, 476, 11820, 278, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3393, 912, 1038, 1820, 3488, 28526, 266, 277, 3393, 815, 476, 11820, 279, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 277, 912, 1038, 1820, 3488, 28526, 266, 5038, 277, 815, 476, 11820, 280, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 278, 912, 1038, 1820, 3488, 28526, 266, 5038, 278, 815, 476, 8099, 271, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4366, 912, 1038, 1820, 3488, 28526, 266, 277, 4366, 815, 476, 8099, 272, 5073, 825, 952, 1003, 272, 2652, 476, 28526, 543, 1129, 2652, 25962, 543, 1003, 273, 2652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3332, 4317, 16817, 1143, 3955, 11666, 1581, 7841, 1062, 1299, 1098, 11666, 1581, 751, 25393, 5606, 12999, 540, 11082, 476, 5908, 271, 547, 476, 4489, 271, 454, 288, 269, 26478, 281, 476, 5908, 271, 547, 476, 4489, 280, 476, 5908, 271, 476, 4489, 280, 808, 10422, 269, 21546, 3627, 667, 269, 18842, 651, 325, 11839, 454, 289, 269, 28985, 320, 2231, 281, 689, 476, 1911, 547, 476, 272, 267, 1822, 476, 5908, 271, 476, 6942, 276, 454, 290, 269, 3245, 32124, 832, 547, 513, 11683, 2622, 5295, 281, 476, 5908, 271, 910, 476, 4489, 275, 476, 5908, 271, 476, 4489, 275, 454, 291, 269, 9540, 16011, 22895, 1275, 1744, 337, 3855, 634, 1507, 4884, 4313, 543, 3354, 5795, 1259, 547, 606, 8900, 2749, 1272, 267, 10268, 538, 519, 1699, 3332, 454, 2862, 269, 1977, 22439, 589, 269, 3721, 1156, 595, 8735, 4414, 14068, 613, 540, 595, 5971, 634, 9093, 538, 519, 23566, 7046, 4425, 520, 454, 289, 269, 10793, 5507, 267, 11910, 540, 519, 8187, 267, 1677, 12706, 513, 9605, 834, 763, 1697, 1599, 540, 812, 568, 547, 2661, 267, 711, 547, 2291, 269, 594, 4927, 711, 3653, 1250, 2395, 538, 3843, 547, 10804, 873, 269, 594, 4927, 946, 1250, 942, 1701, 910, 10793, 5507, 454, 7656, 269, 30527, 538, 3332, 910, 519, 10792, 4641, 540, 1272, 589, 269, 5020, 568, 10374, 281, 543, 1287, 596, 5884, 645, 269, 18984, 643, 832, 454, 4353, 269, 6215, 4575, 689, 634, 1143, 547, 1546, 1143, 267, 547, 21434, 1143, 270, 20332, 1143, 654, 332, 269, 674, 4954, 30742, 29527, 12920, 2719, 3118, 15537, 595, 8735, 3627, 23415, 20198, 3245, 3038, 2064, 547, 8682, 7304, 601, 4800, 454, 2171, 1294, 519, 1977, 1620, 540, 2696, 1847, 689, 513, 2123, 1995, 547, 602, 540, 606, 791, 5966, 3196, 267, 547, 602, 540, 24677, 540, 519, 6228, 540, 2696, 563, 309, 269, 13571, 1512, 9966, 528, 543, 13636, 1143, 23548, 534, 538, 519, 476, 8146, 271, 338, 281, 8865, 344, 13643, 16749, 11653, 6754, 645, 684, 12505, 9649, 2845, 3455, 14173, 23663, 517, 4095, 25142, 5096, 344, 595, 13702, 9116, 519, 1085, 719, 454, 288, 269, 10871, 7822, 1235, 476, 272, 8160, 1046, 30805, 15656, 7581, 332, 839, 476, 8146, 276, 268, 4489, 271, 454, 273, 269, 645, 4958, 19134, 324, 476, 8146, 280, 268, 5002, 273, 454, 9654, 269, 7849, 1143, 270, 3725, 16117, 22230, 9057, 24452, 910, 5871, 21771, 5853, 538, 16520, 1773, 1824, 513, 7868, 7122, 568, 20437, 267, 21245, 267, 543, 19944, 6681, 269, 536, 269, 5978, 12556, 568, 5462, 676, 938, 1604, 267, 19021, 640, 267, 543, 4960, 269, 524, 269, 10403, 786, 568, 606, 21903, 546, 11482, 1057, 568, 513, 16970, 24983, 454, 23997, 269, 2859, 30527, 22439, 910, 595, 8735, 267, 5507, 267, 543, 8361, 6276, 589, 6138, 540, 2067, 1143, 589, 5339, 4082, 540, 15002, 1143, 454, 288, 269, 15537, 595, 8735, 630, 6942, 272, 268, 5002, 271, 264, 476, 272, 8160, 12000, 773, 281, 589, 21756, 540, 519, 6790, 1115, 589, 5339, 24182, 538, 476, 6245, 274, 454, 288, 269, 15537, 595, 8735, 630, 6942, 272, 268, 5002, 271, 264, 476, 273, 269, 634, 4414, 14068, 613, 540, 595, 5971, 454, 288, 269, 15537, 595, 8735, 630, 6942, 272, 268, 5002, 271, 264, 476, 274, 269, 595, 3757, 525, 17826, 589, 812, 1767, 547, 519, 7122, 281, 834, 306, 597, 267, 594, 2291, 10590, 834, 4913, 2437, 14452, 519, 7122, 267, 834, 763, 1249, 814, 711, 2813, 538, 803, 589, 2631, 540, 17185, 4799, 288, 269, 15537, 595, 8735, 630, 6942, 272, 268, 5002, 271, 264, 476, 275, 269, 634, 7046, 4425, 520, 1759, 593, 513, 3020, 1995, 689, 476, 6245, 277, 454, 275, 269, 634, 7046, 4425, 520, 6145, 21434, 1143, 267, 2067, 1143, 270, 9418, 1143, 1101, 7902, 538, 2342, 269, 898, 29412, 569, 8118, 909, 519, 10782, 540, 2486, 609, 971, 3584, 607, 16028, 267, 3023, 267, 13277, 6670, 267, 6710, 267, 543, 6760, 563, 289, 269, 15656, 7581, 332, 839, 267, 4460, 30805, 630, 8146, 276, 268, 4489, 271, 1070, 19784, 267, 2278, 267, 30237, 626, 2353, 2413, 3332, 2501, 689, 835, 1433, 676, 4460, 30805, 1572, 670, 22976, 9440, 18373, 269, 29527, 12920, 2719, 3118, 454, 272, 269, 3571, 13910, 540, 9966, 528, 16458, 3966, 9644, 595, 580, 541, 6519, 9290, 454, 273, 269, 3571, 5020, 543, 519, 5384, 646, 5030, 538, 634, 1483, 4639, 454, 274, 269, 31996, 15066, 543, 30460, 24079, 634, 24601, 540, 8751, 27517, 9807, 630, 6942, 277, 264, 670, 22976, 9440, 18373, 630, 6642, 276, 994, 275, 269, 634, 18305, 602, 616, 22150, 538, 3828, 1622, 1603, 616, 607, 5205, 282, 589, 17679, 1716, 15066, 645, 269, 2750, 12000, 3130, 595, 13034, 32214, 667, 6185, 1737, 3966, 15669, 661, 269, 308, 10811, 680, 7134, 5920, 540, 513, 12357, 24928, 563, 276, 269, 4460, 30805, 543, 2696, 594, 993, 7899, 2922, 2614, 538, 1010, 3946, 282, 594, 993, 711, 538, 1022, 8594, 689, 602, 2186, 540, 513, 4144, 1214, 269, 634, 835, 602, 594, 1616, 547, 1832, 856, 540, 519, 3914, 540, 267, 568, 519, 1286, 545, 1155, 540, 1864, 799, 835, 9060, 538, 519, 6426, 269, 1284, 630, 7474, 835, 543, 594, 264, 1223, 2760, 2463, 1142, 824, 267, 2760, 1205, 2059, 1927, 269, 594, 723, 1558, 1010, 9120, 513, 4627, 2053, 734, 538, 1249, 594, 2179, 547, 602, 8885, 269, 910, 14594, 547, 9986, 14746, 7581, 332, 839, 267, 476, 278, 270, 1704, 270, 6642, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6480, 8205, 267, 543, 824, 4525, 780, 4089, 476, 273, 281, 5940, 3307, 633, 17972, 540, 519, 25227, 5678, 692, 6524, 11362, 883, 519, 25727, 540, 1565, 25227, 13383, 267, 1577, 721, 1101, 24559, 6000, 609, 930, 10747, 4162, 540, 519, 1893, 3294, 269, 2311, 1101, 16145, 267, 25227, 949, 2408, 18447, 1813, 547, 922, 14542, 8239, 543, 12332, 3652, 269, 1717, 267, 11439, 609, 1702, 540, 1978, 1883, 2934, 267, 1256, 30497, 6267, 666, 2253, 10188, 713, 10578, 10409, 5251, 780, 20058, 267, 25227, 18271, 4903, 331, 583, 1588, 267, 17929, 2849, 335, 1335, 525, 630, 1492, 10545, 4559, 540, 2495, 264, 8936, 547, 3597, 1913, 547, 6655, 3606, 1344, 971, 607, 13029, 267, 1297, 267, 7099, 267, 610, 15896, 269, 2755, 9583, 1950, 267, 713, 1062, 561, 1742, 11007, 543, 3589, 1464, 547, 2262, 5250, 3157, 269, 1280, 3236, 267, 4946, 21879, 525, 547, 519, 10902, 834, 330, 9567, 3121, 529, 564, 257, 630, 29324, 264, 12958, 726, 584, 1023, 9497, 330, 9567, 3121, 626, 523, 19823, 4865, 1161, 9497, 2381, 684, 737, 9567, 3121, 626, 523, 328, 19823, 543, 2250, 1300, 328, 1255, 9497, 641, 7032, 6545, 523, 328, 737, 537, 1663, 20811, 8442, 609, 8897, 780, 30772, 267, 25227, 12346, 8185, 593, 20262, 10103, 267, 799, 9598, 919, 602, 4395, 24008, 630, 324, 3052, 1421, 3331, 353, 267, 3331, 370, 267, 586, 264, 1152, 9192, 609, 824, 4395, 24008, 1369, 513, 2582, 2262, 267, 1247, 1394, 24008, 630, 320, 267, 522, 267, 579, 264, 6292, 14311, 609, 899, 1606, 15903, 13413, 269, 1520, 11447, 547, 713, 13093, 2045, 6240, 6908, 6050, 10259, 543, 12332, 3270, 267, 6038, 14123, 4977, 4633, 2504, 543, 6284, 780, 15563, 267, 25227, 18252, 513, 2013, 1062, 16030, 27552, 3982, 2665, 267, 1142, 15202, 1114, 4852, 12519, 3252, 269, 4014, 11566, 693, 1101, 7237, 267, 9301, 891, 2665, 10240, 9094, 2542, 8223, 543, 1603, 6111, 2899, 4835, 1242, 269, 6201, 1331, 562, 7631, 894, 630, 11357, 915, 1070, 1024, 1438, 630, 335, 1601, 11970, 1070, 25197, 894, 630, 29715, 1843, 1070, 543, 1089, 633, 630, 339, 3637, 1533, 1040, 29923, 891, 4909, 3334, 28382, 6267, 609, 1898, 2645, 2556, 585, 3811, 2792, 538, 25227, 780, 4089, 476, 274, 281, 8056, 619, 633, 4804, 23800, 3414, 11819, 13488, 6182, 1218, 692, 3086, 602, 649, 723, 3964, 513, 5748, 538, 519, 9238, 540, 25227, 267, 1577, 721, 2490, 938, 3007, 547, 519, 3119, 1445, 540, 713, 3184, 281, 16107, 4116, 2951, 14828, 547, 11126, 1893, 11601, 3842, 23913, 1565, 13383, 269, 1452, 3407, 3255, 5512, 7855, 543, 1053, 7567, 547, 4497, 2047, 609, 3077, 1893, 2950, 267, 10110, 6237, 22463, 543, 30351, 658, 3359, 267, 543, 7747, 6805, 9821, 543, 5389, 20250, 269, 6270, 13341, 6536, 15398, 2157, 540, 8404, 267, 1582, 30797, 267, 543, 2949, 9547, 1851, 5171, 3379, 547, 2757, 4928, 5468, 780, 30108, 2951, 14828, 8597, 4481, 547, 4648, 5275, 2883, 6351, 585, 23918, 3292, 10704, 1472, 3486, 2951, 269, 15380, 6035, 676, 3872, 5238, 267, 2229, 8041, 267, 18758, 3906, 267, 543, 4357, 13210, 267, 891, 17758, 1489, 2238, 8151, 689, 11504, 19014, 543, 11925, 547, 10647, 2361, 1740, 543, 23712, 593, 4745, 3785, 269, 1677, 11694, 519, 1761, 1764, 540, 891, 7341, 267, 23078, 1058, 2015, 26936, 6069, 6859, 609, 17888, 3466, 538, 4914, 1893, 6044, 267, 971, 607, 4305, 2861, 1565, 267, 1788, 12454, 27380, 267, 543, 2029, 5610, 780, 2690, 1346, 5461, 538, 13197, 590, 273, 1353, 998, 4116, 2951, 14828, 267, 1896, 14222, 2200, 15549, 2446, 269, 7324, 873, 616, 27975, 1962, 697, 18940, 267, 661, 6652, 16443, 266, 19510, 267, 543, 1977, 32090, 7690, 269, 3962, 3919, 6799, 2189, 5383, 3358, 547, 8795, 2115, 543, 4690, 269, 1280, 1383, 267, 27975, 1962, 697, 18940, 6212, 5097, 593, 5807, 8994, 1620, 1063, 772, 2529, 269, 543, 25227, 5640, 267, 5356, 21464, 23616, 1742, 585, 6905, 13978, 28285, 538, 15889, 4093, 30364, 1312, 2477, 269, 11531, 267, 661, 6652, 16443, 266, 3032, 619, 15866, 547, 3864, 5742, 7264, 267, 5009, 10688, 267, 9316, 267, 543, 5647, 2066, 2362, 2069, 9922, 269, 14936, 267, 519, 1977, 32090, 7690, 7028, 15377, 5473, 29735, 6082, 267, 3246, 8465, 14828, 585, 1367, 3173, 267, 5159, 267, 543, 5830, 13197, 7463, 3785, 780, 3528, 3854, 1944, 593, 891, 10731, 17008, 267, 1893, 7855, 666, 3648, 32433, 741, 27132, 540, 14292, 2994, 267, 1225, 14152, 6272, 267, 543, 4879, 2553, 29742, 539, 689, 1463, 6278, 609, 3984, 4529, 269, 5047, 267, 789, 2203, 15400, 1565, 543, 2518, 4656, 585, 741, 10453, 267, 11121, 2104, 5481, 547, 9784, 1617, 13308, 1143, 543, 16637, 10923, 6302, 780, 6962, 692, 2026, 23576, 2429, 713, 3184, 267, 4974, 2672, 23449, 547, 529, 6511, 737, 1408, 523, 7564, 4564, 2484, 811, 982, 8806, 16565, 1007, 11913, 1983, 282, 2864, 267, 621, 13054, 513, 7096, 3408, 540, 18940, 781, 588, 528, 1221, 2250, 267, 6422, 1459, 267, 543, 3970, 1652, 1761, 269, 21150, 1046, 532, 2390, 713, 7214, 27356, 8124, 998, 15138, 2833, 6488, 539, 676, 4116, 2951, 14828, 7586, 5809, 6267, 262, 4390, 585, 2208, 267, 7004, 267, 543, 32144, 2032, 269, 11569, 267, 8508, 519, 4161, 540, 13215, 25227, 4412, 1564, 1053, 2059, 513, 2619, 4724, 4742, 5483, 267, 17519, 267, 543, 7722, 2518, 4961, 9280, 547, 6330, 938, 6385, 4657, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 540, 519, 1034, 1272, 19145, 1919, 513, 7548, 610, 4116, 666, 1995, 568, 547, 1294, 875, 519, 1964, 540, 519, 1158, 2729, 998, 513, 4116, 2951, 9886, 269, 6787, 602, 779, 2921, 513, 7552, 547, 1776, 1533, 267, 2197, 267, 610, 11782, 267, 1705, 596, 917, 602, 972, 616, 7899, 540, 2200, 856, 972, 585, 3610, 547, 2951, 1107, 543, 585, 1863, 888, 2171, 723, 16432, 476, 736, 1390, 2200, 602, 3382, 2069, 8593, 3298, 4721, 267, 10554, 14828, 267, 32112, 267, 543, 7616, 585, 3318, 1646, 607, 1134, 607, 2123, 12257, 269, 6787, 596, 1616, 547, 1491, 513, 1895, 540, 1053, 593, 3621, 3408, 267, 798, 1382, 267, 6108, 942, 28798, 707, 1893, 1983, 610, 1945, 3116, 7357, 267, 972, 779, 513, 9886, 610, 31776, 585, 596, 563, 2252, 596, 616, 538, 1022, 8969, 602, 519, 7616, 4316, 10039, 547, 596, 267, 3914, 856, 547, 519, 9872, 269, 3509, 540, 891, 14828, 979, 547, 519, 1482, 1004, 1032, 1310, 1032, 1317, 1866, 1175, 1810, 1406, 917, 602, 519, 14828, 616, 972, 269, 1358, 2291, 585, 3610, 540, 6575, 543, 23408, 547, 2979, 543, 2257, 267, 607, 1134, 607, 14828, 585, 16984, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22296, 23449, 547, 529, 6511, 737, 1408, 523, 7564, 630, 306, 273, 17983, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 25227, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 16259, 513, 11068, 13523, 4077, 3386, 31054, 3171, 770, 692, 272, 269, 2878, 10932, 2199, 1426, 8492, 543, 24181, 5093, 3399, 676, 15388, 7404, 3906, 602, 1683, 6980, 543, 1489, 547, 2043, 543, 3885, 538, 991, 1282, 519, 9702, 4005, 269, 6333, 32296, 873, 547, 2307, 827, 741, 1808, 2115, 543, 1018, 2010, 540, 8286, 1131, 581, 1034, 15874, 269, 901, 786, 948, 2327, 602, 707, 3646, 616, 1312, 5363, 543, 13988, 609, 519, 3919, 781, 5692, 563, 273, 269, 2878, 23945, 513, 10624, 1759, 593, 6237, 32258, 5093, 8564, 10346, 602, 13686, 2757, 11068, 13523, 5820, 543, 10366, 269, 1280, 1383, 267, 2015, 6220, 2295, 344, 5779, 8286, 899, 1494, 887, 770, 610, 8423, 267, 2059, 609, 4313, 532, 5011, 899, 11792, 1117, 12277, 267, 3039, 21167, 22101, 518, 1961, 267, 8970, 3694, 267, 543, 6653, 15837, 2650, 269, 5269, 2386, 547, 1331, 20757, 3681, 607, 1134, 563, 274, 269, 2878, 294, 1430, 2556, 2200, 5093, 4495, 596, 723, 4857, 519, 10624, 3688, 267, 1711, 513, 10918, 1592, 24223, 782, 2838, 5820, 269, 28651, 856, 547, 2828, 267, 1920, 2818, 267, 543, 12543, 547, 1294, 952, 4896, 814, 10051, 3937, 610, 7674, 16292, 596, 949, 10210, 585, 519, 2680, 269, 2142, 13533, 540, 1761, 8192, 9993, 950, 8939, 10346, 563, 275, 269, 2878, 16391, 1125, 13538, 5093, 5589, 8816, 8284, 2146, 2818, 547, 4217, 609, 7594, 7041, 267, 5986, 267, 543, 6765, 269, 22682, 5968, 5107, 543, 9021, 267, 4180, 3025, 17358, 741, 4247, 25656, 269, 5071, 622, 835, 1268, 607, 519, 1291, 28013, 547, 936, 5408, 17825, 543, 11282, 2792, 1063, 2319, 2818, 563, 276, 269, 2878, 4537, 641, 7561, 5093, 2422, 19420, 976, 543, 6455, 547, 4688, 2724, 1247, 11449, 1164, 7779, 5820, 269, 19147, 519, 10918, 1592, 1851, 2789, 1004, 547, 20928, 519, 1184, 543, 7413, 1367, 9276, 269, 1403, 2009, 267, 1904, 585, 12725, 21433, 3132, 543, 16469, 547, 2417, 11168, 519, 3148, 781, 29667, 344, 563, 277, 269, 2878, 7093, 6768, 8286, 6619, 540, 942, 5093, 24269, 15164, 267, 5965, 3334, 540, 519, 7594, 538, 4434, 269, 3509, 2427, 8286, 666, 581, 1500, 519, 3781, 1354, 543, 24667, 730, 1175, 1991, 547, 7674, 269, 3958, 267, 3348, 583, 5388, 543, 2261, 3729, 5946, 16074, 547, 2569, 1554, 6361, 3341, 960, 563, 278, 269, 2878, 9558, 1636, 11273, 8286, 9108, 5093, 7767, 538, 25551, 11956, 31781, 610, 824, 3002, 16513, 11149, 547, 3560, 3905, 8286, 547, 519, 11280, 4087, 269, 6184, 4327, 11435, 543, 3579, 619, 666, 849, 581, 3730, 585, 5329, 4411, 3536, 669, 2683, 679, 8905, 269, 5457, 547, 6003, 1169, 8670, 5693, 609, 922, 2012, 543, 1022, 4143, 8022, 610, 4859, 5528, 563, 279, 269, 2878, 306, 2925, 609, 1416, 5093, 16270, 12625, 693, 519, 16475, 3135, 267, 6582, 8286, 28426, 593, 7515, 610, 10889, 564, 10473, 269, 20644, 6351, 547, 13763, 267, 25696, 267, 543, 28752, 2429, 519, 2680, 269, 11559, 14538, 547, 1491, 2451, 13569, 1753, 609, 873, 267, 4227, 3653, 543, 3246, 3606, 29454, 563, 280, 269, 2878, 27662, 909, 8499, 5093, 2991, 519, 21649, 267, 22619, 344, 909, 519, 2230, 676, 10655, 17885, 267, 530, 31441, 1524, 7252, 267, 543, 13059, 22666, 3688, 547, 741, 1318, 995, 5411, 269, 8058, 14696, 2509, 14747, 267, 13538, 267, 543, 23700, 7567, 585, 1818, 519, 8317, 3811, 543, 16180, 563, 1015, 269, 2878, 8269, 937, 593, 519, 1995, 5093, 6875, 930, 942, 1310, 519, 2680, 547, 2992, 593, 707, 9525, 538, 713, 957, 540, 17493, 269, 9523, 2984, 267, 4245, 4121, 267, 543, 8823, 2813, 609, 1866, 3238, 269, 9181, 2081, 547, 2087, 2104, 2621, 543, 3136, 5885, 707, 2199, 2146, 3564, 519, 14812, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19489, 8946, 5308, 292, 5508, 9358, 23166, 589, 717, 7246, 6579, 8028, 4596, 7419, 307, 267, 22400, 21832, 306, 4041, 307, 9898, 10790, 312, 18688, 23184, 5058, 5442, 15674, 22400, 11550, 19616, 16739, 674, 5357, 29308, 269, 623, 4041, 17955, 25526, 17395, 10691, 292, 26008, 2336, 291, 2839, 9358, 23414, 292, 25893, 674, 6020, 2894, 9169, 1299, 17252, 26996, 289, 27633, 20978, 590, 26041, 24535, 20700, 10345, 286, 9358, 27114, 717, 4953, 22400, 744, 310, 301, 17676, 24639, 7034, 31304, 303, 3582, 15760, 590, 21715, 5058, 22400, 661, 5336, 288, 6579, 5084, 11403, 8577, 9215, 8946, 6865, 3008, 15598, 21283, 2894, 25712, 287, 326, 21166, 2593, 10758, 15760, 23184, 5058, 9215, 744, 7838, 25723, 7034, 25492, 454, 2562, 24199, 11581, 296, 3582, 5508, 5990, 21832, 306, 4041, 307, 9898, 454, 3086, 602, 649, 723, 1185, 938, 21175, 21429, 267, 621, 568, 942, 547, 1413, 4464, 547, 8285, 563, 6624, 540, 721, 723, 2907, 21243, 610, 616, 18138, 909, 269, 1284, 616, 3168, 693, 513, 5412, 14095, 609, 6105, 267, 19771, 267, 543, 16873, 269, 1548, 649, 666, 1406, 6336, 8289, 540, 616, 1346, 945, 616, 538, 991, 563, 296, 1810, 1406, 1616, 596, 547, 7340, 602, 1875, 3491, 22327, 971, 607, 519, 2136, 10158, 267, 6428, 14010, 8136, 267, 543, 5600 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1652, 5641, 11761, 29056, 256, 1133, 335, 21242, 713, 1523, 568, 1294, 538, 513, 3148, 540, 3047, 2257, 513, 16950, 1652, 5641, 1369, 519, 3047, 11313, 1034, 269, 2052, 1689, 883, 513, 1007, 1826, 540, 4224, 9979, 543, 4224, 2326, 570, 1090, 3118, 2165, 19434, 609, 6132, 2380, 513, 256, 2659, 11422, 267, 16089, 3327, 8166, 829, 1032, 12520, 827, 476, 1789, 5479, 9748, 540, 3327, 8166, 829, 1032, 1765, 1911, 1700, 4968, 811, 269, 9537, 609, 2463, 547, 519, 13557, 2497, 543, 5888, 616, 519, 1482, 538, 782, 8846, 10929, 513, 1689, 1106, 1862, 17148, 540, 23009, 1143, 11609, 538, 8431, 3460, 998, 519, 4224, 7252, 616, 7930, 12816, 1524, 1454, 899, 568, 269, 2334, 538, 4702, 6165, 1765, 324, 3052, 1421, 2520, 27370, 673, 610, 3540, 4702, 9789, 16166, 568, 2236, 1078, 6587, 569, 543, 568, 547, 1862, 9257, 2488, 1699, 1344, 827, 7725, 267, 519, 2262, 968, 23009, 2670, 9232, 568, 513, 519, 4224, 4783, 6920, 602, 1747, 547, 519, 1862, 2334, 1917, 338, 519, 2243, 910, 875, 1705, 602, 4224, 1205, 972, 10372, 547, 2087, 713, 2376, 3340, 256, 8092, 609, 4195, 3623, 6510, 4224, 547, 2253, 519, 4783, 1586, 2262, 968, 23009, 2670, 568, 1862, 2290, 4627, 2929, 628, 540, 513, 7777, 568, 4299, 676, 519, 11958, 4800, 540, 519, 4783, 907, 918, 19907, 19476, 267, 1007, 10215, 11313, 521, 6708, 540, 4630, 23189, 630, 1775, 4318, 1421, 7833, 640, 540, 5888, 2429, 543, 256, 9412, 621, 11438, 5283, 1206, 896, 519, 2604, 267, 2837, 543, 4320, 540, 2011, 7805, 2482, 1359, 267, 610, 476, 272, 269, 273, 6279, 616, 1862, 1230, 22633, 20704, 2230, 3738, 543, 6283, 547, 513, 3135, 540, 18254, 543, 11761, 543, 256, 19648, 538, 519, 3742, 4494, 4679, 609, 3178, 9979, 543, 4224, 2326, 15972, 269, 2334, 10929, 513, 1689, 547, 1106, 513, 1007, 543, 4824, 1224, 593, 1888, 256, 15316, 3029, 5836, 267, 543, 12627, 3889, 6886, 2872, 607, 1417, 547, 744, 978, 541, 826, 570, 1090, 3118, 2165, 19434, 2599, 12718, 3568, 544, 540, 256, 7756, 2010, 540, 7725, 538, 811, 1469, 7990, 267, 9325, 2450, 267, 1826, 540, 4224, 519, 4224, 4783, 6920, 602, 547, 519, 543, 1862, 1912, 337, 1078, 6587, 569, 543, 568, 5219, 547, 607, 21249, 568, 538, 519, 7305, 2039, 540, 10286, 7306, 543, 8754, 8519, 256, 24234, 540, 1065, 846, 910, 519, 14869, 652, 9386, 5086, 538, 799, 1880, 11159, 786, 9114, 1510, 22107, 8172, 2807, 267, 2160, 540, 1007, 6792, 267, 19186, 340, 20960, 4302, 521, 2830, 543, 10036, 267, 799, 1312, 723, 513, 2450, 967, 626, 3907, 27720, 676, 11958, 4800, 256, 1772, 2799, 896, 606, 3768, 11712, 2783, 2244, 2627, 547, 519, 13557, 2497, 543, 616, 269, 3245, 22747, 513, 8325, 6316, 713, 3123, 519, 6886, 538, 519, 4224, 602, 568, 711, 13026, 676, 28011, 634, 4224, 538, 840, 1410, 12371, 7725, 896, 519, 3665, 3002, 543, 2604, 540, 2673, 1790, 22326, 540, 519, 3892, 540, 2807, 476, 273, 547, 476, 274, 5292, 294, 568, 519, 4320, 540, 9274, 630, 543, 9160, 267, 952, 3738, 1862, 634, 12776, 1881, 4528, 540, 713, 3184, 786, 1865, 519, 1614, 2101, 5049, 2687, 547, 519, 13557, 2497, 543, 5888, 519, 269, 2986, 5888, 2429, 3738, 543, 6283, 547, 513, 3135, 540, 18254, 1851, 5337, 15667, 267, 4224, 269, 7395, 2742, 267, 513, 9583, 3586, 6219, 267, 666, 1689, 883, 513, 1007, 540, 256, 28985, 11973, 9748, 540, 3327, 8166, 543, 11895, 5292, 289, 568, 519, 6708, 547, 799, 519, 4396, 3047, 568, 543, 269, 3794, 659, 1512, 1085, 2293, 519, 5251, 543, 3762, 3297, 1804, 575, 537, 2471, 267, 1507, 4174, 725, 267, 610, 2067, 9160, 532, 1570, 17941, 1862, 1306, 11609, 538, 7612, 476, 272, 9356, 519, 2596, 1770, 540, 799, 519, 4396, 3047, 568, 7768, 543, 3335, 25992, 1862, 2334, 616, 6632, 614, 543, 811, 23661, 569, 3543, 730, 29056, 630, 519, 2168, 543, 3114, 15059, 540, 6886, 6920, 1862, 10960, 3788, 267, 14291, 873, 883, 15455, 543, 8497, 873, 2620, 1369, 519, 1412, 338, 269, 20099, 540, 476, 1015, 268, 1015, 11281, 610, 835, 4627, 2929, 628, 540, 513, 1298, 9014, 267, 1519, 519, 9274, 267, 14848, 267, 616, 538, 269, 2983, 10999, 3738, 14605, 15044, 11159, 10525, 513, 2647, 2039, 540, 10286, 7306, 543, 8754, 814, 8519, 907, 30200, 2872, 3892, 540, 4224, 26348, 543, 1895, 3635, 16929, 543, 544, 1952, 762, 12531, 540, 907, 634, 6129, 568, 5963, 835, 540, 519, 1614, 4224, 28944, 281, 24348, 267, 5337, 15667, 543, 23009, 545, 21688, 1091, 1706, 3039, 1862, 2052, 581, 6444, 689, 4224, 31324, 602, 1397, 2963, 540, 1085, 2293, 519, 5251, 543, 3297, 29755, 5654, 899, 12897, 616, 16981, 593, 707, 11422, 519, 11958, 4800, 540, 519, 9274, 610, 28011, 769, 707, 3965, 713, 1523, 547, 2713, 1949, 547, 2253, 519, 4783, 519, 5580, 269, 8409, 3677, 982, 476, 274, 1298, 22015, 637, 267, 610, 4835, 11460, 585, 1507, 14848, 267, 538, 547, 1862, 5345, 6295, 998, 513, 1184, 1572, 519, 4224, 543, 5116, 621, 896, 513, 17209, 3540, 29755, 789, 1223, 15972, 3662, 3788, 267, 14291, 873, 883, 15455, 543, 873, 256, 18748, 539, 676, 519, 1480, 3750, 543, 616, 849, 17941, 7452, 10002, 21242, 713, 1523, 3157, 602, 1291, 547, 741, 5250, 2604, 1862, 595, 6817, 519, 4224, 729, 8840, 1524, 18284, 519, 6132, 1156, 3892, 540, 4224, 602, 581, 1862, 17389, 1510, 22107, 8172, 1524, 27429, 20031, 1756, 20478, 543, 2744, 1569, 547, 12600, 1543, 12520, 1063, 476, 9873, 543, 476, 23884, 11973, 256, 3245, 4396, 4224, 1282, 519, 4224, 4783, 267, 972, 616, 1614, 1114, 2010, 7725, 256, 2986, 2244, 13257, 519, 2168, 543, 3114, 15059, 540, 6886, 3738, 543, 519, 1216, 1294, 269, 9540, 518, 982, 519, 1843, 1034, 616, 20024, 689, 519, 5259, 2262, 585, 7745, 1570, 269, 634, 8652, 18878, 2566, 630, 1476, 1456, 2604, 3738, 568, 2799, 896, 606, 3768, 11712, 907, 634, 3617, 2511, 8261, 610, 824, 2959, 952, 596, 723, 10372, 547, 2087, 713, 2376, 3340, 256, 13560, 1454, 899, 3574, 568, 12816, 1524, 1454, 899, 3574, 568, 12816, 1524, 1454, 899, 3574, 568, 12816, 1524, 5070, 17549, 256, 1411, 917, 827, 2257, 609, 713, 4101, 7688, 581, 593, 519, 3239, 568, 1483, 543, 4130, 982, 519, 1843, 649, 9312, 24222, 25825, 543, 2713, 1949, 609, 2463, 547, 519, 4420, 1682, 540, 12647, 267, 8933, 267, 543, 7725, 256, 901, 4757, 267, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 11895, 543, 4130, 982, 1843, 1862, 744, 978, 541, 826, 570, 1090, 3118, 2165, 19434, 630, 1476, 1456, 2604, 3738, 568, 2799, 896, 606, 3768, 11712, 2783, 540, 16171, 907, 267, 799, 1312, 723, 513, 2450, 967, 626, 3907, 27720, 676, 519, 1480, 3750, 543, 616, 849, 7452, 269, 589, 6677, 1511, 7828, 1292, 2010, 540, 7725, 538, 811, 1469, 543, 23009, 545, 610, 1862, 3502, 13026, 676, 9274, 267, 14848, 267, 538, 20569, 267, 6923, 9648, 17396, 256, 4024, 2689, 1018, 596, 917, 827, 2257, 609, 713, 4101, 7688, 2019, 520, 3796, 971, 607, 543, 256, 4340, 547, 519, 3157, 602, 1291, 547, 741, 5250, 538, 519, 4224, 4783, 3157, 4945, 593, 519, 1413, 719, 585, 27429, 269, 5450, 1023, 267, 5599, 543, 519, 3309, 4876, 3255, 2139, 538, 519, 12933, 267, 1577, 533, 272, 267, 570, 272, 267, 543, 309, 272, 519, 269, 13018, 9112, 585, 15203, 11320, 22736, 946, 19142, 909, 585, 713, 4757, 267, 596, 616, 13156, 606, 4587, 540, 256, 968, 23009, 2670, 9232, 568, 513, 7286, 14680, 267, 20024, 593, 519, 1585, 4224, 4408, 630, 3277, 519, 256, 7201, 606, 3768, 11712, 2783, 5599, 543, 519, 1216, 596, 1294, 538, 513, 11397, 5836, 2395, 1354, 849, 540, 616, 1862, 1772, 7255, 609, 519, 8760, 267, 6609, 267, 543, 519, 3157, 602, 8507, 538, 741, 5250, 519, 4224, 4783, 6920, 602, 519, 543, 256, 7201, 2391, 4493, 540, 519, 4224, 814, 954, 326, 3497, 14848, 689, 476, 273, 547, 476, 274, 1510, 519, 4224, 4783, 6920, 602, 1524, 1114, 5888, 543, 8726, 1862, 21909, 687, 547, 2087, 713, 2376, 630, 3340, 21189, 3738, 513, 1184, 1572, 519, 4224, 4783, 2760, 5206, 1010, 1862, 26451, 519, 9274, 267, 14848, 267, 616, 2016, 538, 519, 12933, 3677, 982, 476, 274, 1298, 22015, 637, 267, 610, 513, 29755, 9325, 2450, 267, 1826, 540, 4224, 6410, 782, 1543, 585, 713, 4757, 267, 596, 616, 3858, 532, 3377, 269, 6301, 2010, 540, 7725, 267, 25825, 543, 2713, 1949, 2010, 540, 7725, 538, 811, 1469, 267, 19186, 340, 20960, 4302, 3347, 1862, 9737, 513, 543, 513, 14605, 28439, 11159, 568, 513, 1434, 1747, 547, 5544, 519, 4190, 1183, 17243, 19476, 267, 1007, 10215, 521, 256, 3657, 2901, 9930, 3990, 267, 610, 4401, 24481, 6886, 1007, 10215, 11313, 521, 5065, 25190, 517, 3239, 602, 581, 256, 4438, 519, 3268, 476, 272, 1700, 273, 267, 519, 2262, 968, 23009, 2670, 9232, 568, 513, 630, 2520, 10999, 3738, 14605, 15044, 835, 267, 24348, 1421, 8407, 267, 5599, 543, 519, 3157, 602, 8507, 538, 741, 5250, 538, 519, 4224, 4783, 267, 616, 256, 19634, 2740, 609, 519, 2228, 13658, 8240, 4224, 689, 519, 6129, 568, 5963, 835, 540, 519, 3892, 540, 4224, 2560, 267, 256, 9412, 693, 519, 1283, 540, 519, 4224, 543, 540, 519, 1614, 7725, 2010, 4991, 2140, 1862, 20767, 2939, 786, 9114, 1510, 22107, 8172, 1524, 2067, 9160, 532, 1570, 568, 17941, 11188, 13920, 875, 1454, 519, 540, 256, 18827, 547, 11523, 2230, 2010, 609, 2463, 547, 519, 3157, 602, 8507, 538, 741, 5250, 630, 24222, 6886, 267, 16089, 3327, 8166, 829, 1032, 1765, 1911, 1700, 4968, 2053, 811, 982, 22747, 1765, 2421, 8781, 8093, 10173, 14848, 543, 3984, 256, 3502, 15835, 1282, 1034, 2175, 540, 23009, 1143, 875, 7725, 1689, 1369, 519, 4783, 1586, 616, 269, 1656, 593, 707, 1702, 609, 519, 8760, 267, 6609, 267, 543, 3109, 907, 3657, 6027, 998, 717, 2099, 7725, 543, 4224, 4783, 630, 23794, 274, 3738, 1923, 4224, 4783, 11609, 538, 7612, 476, 272, 519, 269, 966, 1355, 2230, 5161, 540, 31736, 2230, 1063, 9274, 610, 14848, 607, 1134, 607, 519, 2609, 1336, 538, 519, 7305, 713, 269, 5262, 2159, 2257, 13658, 8240, 6688, 616, 6508, 689, 519, 5259, 2262, 585, 7745, 3738, 1570, 30275, 539, 689, 907, 11724, 4229, 8108, 10239, 538, 513, 5757, 610, 6908, 949, 723, 1044, 1216, 513, 1862, 4400, 2837, 267, 2604, 267, 2837, 543, 4320, 540, 519, 18714, 12933, 568, 3254, 538, 519, 4224, 954, 326, 3497, 256, 18948, 267, 3425, 12520, 827, 476, 1789, 5479, 9748, 540, 3327, 8166, 829, 1032, 1765, 1911, 1700, 4968, 2053, 811, 982, 8781, 1862, 3127, 543, 10255, 729, 519, 476, 273, 267, 10384, 1032, 590, 2194, 1513, 6062, 4783, 9838, 4224, 32756, 1223, 562, 1405, 723, 1044, 6777, 593, 513, 4410, 5593, 641, 256, 2334, 621, 5283, 1206, 547, 1711, 29351, 798, 711, 15835, 1282, 1034, 2175, 540, 907, 910, 1196, 340, 268, 24987, 2593, 519, 4224, 814, 954, 326, 3497, 14848, 689, 476, 273, 547, 476, 274, 3039, 7510, 6918, 2940, 543, 1862, 634, 6027, 24186, 540, 519, 1614, 4224, 28944, 281, 24348, 267, 5337, 15667, 7725, 616, 1346, 4646, 676, 2620, 1862, 6168, 7725, 267, 6886, 267, 18282, 267, 543, 12084, 2609, 941, 538, 519, 4224, 7252, 616, 7930, 1524, 269, 8672, 267, 1577, 533, 272, 267, 570, 272, 267, 543, 309, 272, 581, 519, 2604, 540, 3047, 11313, 521, 5065, 25190, 517, 10372, 256, 20837, 949, 723, 1044, 6777, 593, 513, 1164, 4410, 5593, 641, 799, 1880, 11159, 786, 9114, 1510, 22107, 8172, 1524, 3277, 269, 20233, 1359, 267, 610, 6512, 532, 267, 1317, 540, 519, 3892, 540, 4224, 2560, 4224, 267, 543, 5924, 256, 634, 2647, 12136, 540, 28340, 1736, 6920, 602, 621, 5283, 1206, 547, 1711, 29351, 513, 1650, 827, 513, 3460, 256, 0, 296, 30002, 10911, 25604, 8656, 11123, 13673, 291, 20315, 2207, 3633, 9501, 4488, 22494, 10911, 25604, 8656, 4959, 6789, 674, 5357, 299, 8582, 306, 594, 30002, 10911, 25604, 8656, 11123, 9501, 4488, 22494, 630, 296, 30002, 476, 1001, 273, 264, 12327, 2316, 301, 6311, 630, 13052, 2567, 589, 3454, 517, 568, 6987, 3307, 950, 972, 568, 1100, 10257, 8969, 602, 519, 2063, 1367, 814, 5747, 269, 589, 3454, 517, 568, 16912, 539, 6987, 3307, 950, 29882, 12220, 538, 1634, 543, 5924, 4397, 7226, 267, 693, 3617, 2053, 630, 10972, 19012, 267, 12119, 267, 5993, 1070, 2429, 922, 8978, 20965, 21698, 1728, 571, 343, 525, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 299, 2562, 32578, 700, 9281, 292, 6730, 570, 22379, 454, 347, 21822, 2894, 631, 269, 17755, 7417, 513, 272, 543, 717, 2207, 3201, 291, 1627, 269, 631, 8980, 21397, 3918, 808, 305, 269, 513, 273, 454, 320, 272, 7043, 6816, 4741, 585, 15979, 267, 7043, 6816, 2160, 267, 1715, 3840, 454, 320, 273, 9576, 4659, 540, 5303, 267, 14351, 27048, 267, 13785, 454, 3725, 14179, 1903, 538, 19202, 3926, 9910, 4405, 1436, 267, 6915, 19491, 16361, 267, 543, 4294, 8849, 1852, 4066, 616, 7175, 3744, 547, 1711, 3684, 29374, 8186, 267, 2257, 5708, 779, 968, 1097, 321, 3073, 338, 1848, 769, 513, 1957, 3370, 538, 476, 1960, 280, 267, 649, 8179, 547, 2721, 3007, 547, 519, 8441, 538, 14382, 4854, 3457, 267, 547, 519, 16221, 540, 5841, 18032, 267, 543, 547, 519, 2038, 7835, 540, 713, 2029, 538, 31882, 3598, 543, 27243, 18032, 269, 3776, 6161, 267, 1287, 543, 1631, 267, 729, 547, 2721, 3007, 547, 519, 5683, 2152, 16109, 689, 891, 10124, 269, 4595, 602, 942, 267, 23484, 723, 7018, 693, 513, 18198, 10605, 563, 14722, 267, 3173, 267, 543, 8030, 1210, 18312, 16097, 616, 13197, 519, 7399, 540, 1463, 17103, 1063, 12058, 543, 6191, 269, 25895, 10124, 607, 971, 616, 9444, 1434, 6862, 9409, 282, 621, 568, 519, 3096, 25282, 585, 873, 602, 1711, 5837, 6286, 269, 1306, 972, 666, 581, 5683, 2042, 7915, 538, 519, 1697, 1480, 3096, 540, 4066, 543, 1317, 2634, 13365, 616, 513, 1360, 2693, 2104, 2029, 267, 621, 568, 929, 644, 550, 547, 25666, 4507, 543, 6042, 602, 786, 11574, 741, 2192, 2360, 1354, 519, 4066, 616, 7839, 563, 19284, 4719, 4066, 267, 799, 723, 4607, 7839, 22987, 1369, 519, 3621, 2146, 267, 3084, 6608, 267, 543, 3486, 15473, 267, 2634, 1700, 332, 22389, 17103, 723, 4607, 2370, 1514, 610, 5683, 22987, 269, 1717, 267, 519, 1761, 540, 713, 2029, 547, 1689, 543, 3648, 1860, 3425, 568, 5732, 2484, 3152, 982, 602, 540, 4719, 3986, 906, 267, 1317, 4719, 3986, 906, 616, 20244, 3908, 676, 7350, 543, 519, 2582, 4087, 540, 606, 1367, 267, 6466, 29528, 540, 1480, 543, 3684, 616, 711, 865, 11658, 563, 9213, 267, 7920, 1719, 568, 5059, 593, 519, 1646, 540, 5061, 547, 3986, 3965, 282, 2943, 267, 891, 5061, 8806, 9153, 606, 6454, 540, 3339, 3965, 267, 711, 519, 679, 9871, 14037, 11291, 540, 513, 2780, 10276, 327, 2331, 2247, 5916, 609, 519, 2702, 547, 2671, 1344, 693, 513, 3845, 563, 763, 1761, 540, 2634, 13365, 585, 13321, 8103, 616, 4230, 15929, 269, 901, 1957, 6257, 8441, 538, 10316, 2634, 1700, 332, 22389, 17103, 267, 3091, 930, 2693, 19165, 7282, 2104, 7835, 267, 9356, 593, 519, 6286, 540, 9256, 28295, 543, 1098, 680, 5896, 2634, 13365, 267, 543, 5267, 930, 1761, 2409, 540, 15725, 891, 4066, 269, 513, 454, 320, 1284, 616, 18507, 547, 4515, 269, 5760, 1695, 667, 269, 670, 6856, 585, 5363, 8292, 593, 713, 2376, 454, 29791, 3312, 281, 5291, 2517, 30394, 11594, 6983, 600, 8822, 3820, 270, 9146, 270, 5891, 20082, 286, 5228, 17273, 284, 26020, 261, 4660, 284, 6200, 278, 1626, 275, 454, 1692, 798, 596, 1589, 782, 891, 3356, 3357, 538, 519, 2063, 476, 1911, 1296, 267, 2523, 538, 4915, 286, 15331, 539, 593, 16403, 1186, 286, 1452, 4681, 827, 1480, 2634, 543, 1560, 666, 3986, 3044, 540, 2713, 11123, 5990, 300, 267, 538, 9601, 2013, 621, 779, 513, 22946, 269, 594, 5206, 827, 945, 5990, 300, 616, 538, 1250, 824, 8292, 563, 1103, 1250, 1433, 968, 15578, 674, 3918, 3633, 6865, 8863, 7709, 892, 594, 13986, 547, 1459, 513, 2631, 540, 1018, 621, 1131, 581, 899, 13998, 543, 20833, 538, 513, 1158, 1141, 2634, 18032, 538, 3425, 568, 519, 2343, 269, 594, 4126, 547, 5352, 513, 3978, 4901, 593, 519, 3390, 607, 938, 1158, 5526, 547, 581, 1743, 14823, 547, 971, 606, 2680, 7081, 269, 1306, 1250, 1433, 2798, 938, 968, 6343, 568, 6071, 25127, 2221, 666, 1831, 1249, 14182, 3034, 31416, 18032, 538, 3425, 25758, 519, 2343, 2907, 267, 1294, 594, 1336, 602, 25783, 4916, 610, 8726, 596, 8910, 899, 547, 1289, 873, 3592, 782, 723, 930, 521, 867, 540, 2634, 15498, 799, 1450, 525, 873, 547, 5873, 9601, 4835, 13972, 855, 621, 568, 782, 2944, 538, 5728, 269, 594, 1589, 621, 814, 547, 798, 1945, 609, 1098, 16058, 1143, 269, 6884, 538, 2104, 5990, 312, 786, 581, 519, 1152, 3283, 2451, 538, 519, 2622, 543, 621, 786, 782, 1831, 15597, 1634, 630, 16269, 1780, 713, 1318, 547, 798, 713, 547, 14330, 9601, 3842, 1973, 1899, 1916, 296, 3323, 15388, 543, 8989, 593, 28295, 543, 2634, 18032, 1394, 538, 476, 1960, 277, 609, 18476, 2164, 269, 589, 9504, 1980, 17458, 267, 585, 1383, 267, 20295, 1250, 1557, 593, 2634, 18032, 607, 519, 4493, 585, 741, 2376, 593, 519, 1641, 563, 9213, 267, 1346, 4574, 666, 581, 1336, 693, 912, 296, 6557, 849, 2324, 593, 513, 1433, 602, 16621, 713, 543, 824, 1344, 11341, 547, 9650, 6513, 269, 594, 1175, 2322, 1927, 930, 1344, 593, 661, 9680, 645, 5746, 936, 519, 15964, 563, 296, 6557, 1930, 547, 10372, 267, 5698, 267, 3092, 1421, 547, 948, 1205, 713, 7706, 540, 1344, 856, 547, 519, 1857, 563, 16605, 909, 519, 1434, 4339, 267, 0, 22711, 28008, 281, 3163, 2069, 454, 763, 28008, 540, 519, 4760, 2140, 834, 16631, 2069, 257, 568, 834, 306, 857, 269, 3447, 1701, 269, 898, 568, 519, 5227, 28008, 547, 581, 1031, 585, 7493, 532, 267, 4994, 532, 543, 26159, 5301, 543, 10742, 782, 7355, 540, 519, 18869, 476, 275, 3044, 585, 14841, 11868, 4408, 540, 3621, 13746, 563, 763, 3349, 2630, 14592, 538, 1469, 519, 18869, 476, 275, 3652, 543, 13292, 547, 519, 31192, 9738, 1592, 540, 2140, 2262, 31120, 630, 307, 23354, 264, 547, 17589, 519, 28008, 563, 16085, 7220, 1475, 306, 857, 13954, 3901, 2583, 519, 6565, 834, 338, 857, 16780, 268, 257, 2008, 347, 25531, 1475, 14807, 13954, 3901, 2583, 519, 6565, 834, 14445, 320, 268, 257, 2008, 763, 4139, 9257, 585, 9208, 1436, 814, 2919, 519, 18869, 476, 275, 28008, 1062, 607, 513, 1797, 540, 2870, 7833, 31120, 585, 4760, 10643, 269, 901, 2636, 3173, 543, 19174, 547, 3362, 5431, 543, 3277, 547, 13746, 538, 513, 5812, 6073, 563, 3041, 302, 267, 7555, 585, 4139, 9257, 585, 9208, 1436, 267, 568, 513, 8471, 28008, 1062, 585, 4760, 10643, 2066, 10459, 269, 715, 299, 300, 267, 610, 2817, 7732, 540, 6925, 267, 568, 1808, 547, 24118, 9443, 267, 543, 31909, 10485, 267, 519, 31909, 11905, 12039, 267, 3032, 619, 547, 7998, 5829, 10459, 563, 10666, 519, 4760, 454, 347, 17359, 4760, 2140, 1475, 16631, 2069, 347, 0, 20082, 300, 525, 26067, 2096, 531, 6565, 2281, 630, 5960, 12336, 264, 616, 606, 4998, 1591, 2707, 585, 5160, 4702, 543, 27532, 4915, 607, 789, 4865, 1582, 3146, 2908, 531, 3601, 543, 1617, 559, 710, 720, 15285, 1761, 269, 1358, 666, 581, 9678, 689, 1585, 8031, 543, 9450, 3362, 998, 3339, 1591, 2528, 2553, 269, 18726, 12381, 540, 9049, 12336, 547, 2417, 2087, 741, 9354, 12117, 723, 1044, 4922, 6594, 543, 14916, 21503, 269, 22702, 547, 10194, 5444, 6765, 2409, 267, 1875, 8686, 12637, 2409, 5352, 1447, 17219, 543, 6375, 8328, 640, 543, 3976, 2099, 513, 9621, 543, 2500, 1907, 585, 519, 4719, 4702, 540, 9049, 12336, 269, 769, 519, 2063, 5756, 267, 1585, 1875, 8686, 12637, 5444, 6765, 2994, 723, 1044, 2919, 543, 930, 540, 873, 723, 1044, 4294, 585, 9049, 290, 13816, 1254, 269, 901, 1957, 3947, 606, 7650, 540, 519, 2553, 267, 12018, 2188, 543, 1761, 3156, 540, 1875, 8686, 12637, 2409, 1031, 585, 519, 4719, 4702, 540, 9049, 12336, 269, 0, 1432, 568, 631, 4629, 538, 5124, 454, 300, 4629, 6763, 585, 6396, 22375, 11352, 269, 631, 4629, 18575, 519, 1259, 513, 5752, 1893, 5543, 1407, 513, 1505, 610, 14487, 563, 1103, 5124, 267, 513, 1362, 666, 27836, 2934, 543, 10305, 689, 2789, 5049, 543, 3976, 267, 2789, 18472, 568, 8045, 269, 631, 4629, 568, 519, 15796, 538, 799, 3490, 5049, 616, 22646, 950, 3168, 585, 513, 1505, 538, 519, 2385, 1362, 269, 3689, 267, 519, 1505, 610, 14487, 568, 22646, 1369, 513, 1362, 543, 1287, 621, 5205, 519, 1931, 649, 9138, 1247, 9100, 1746, 563, 258, 332, 549, 1383, 1362, 589, 281, 1219, 30775, 4311, 2567, 1820, 2891, 1103, 4147, 589, 8442, 1362, 645, 10490, 2567, 1219, 30775, 4311, 2567, 1820, 2891, 1103, 4147, 645, 8442, 512, 815, 645, 3890, 512, 8807, 15635, 4590, 1103, 4147, 645, 454, 1103, 519, 1657, 1383, 519, 2409, 602, 616, 1045, 12097, 616, 689, 1362, 645, 855, 711, 689, 1362, 589, 267, 543, 713, 568, 1813, 547, 6396, 22375, 11352, 29687, 4629, 1916, 763, 1931, 602, 5205, 538, 519, 1657, 3009, 568, 454, 5035, 645, 9847, 1362, 589, 454, 1103, 2789, 27836, 1734, 267, 519, 2409, 616, 13401, 1759, 593, 519, 1931, 9138, 1247, 9100, 1746, 519, 5049, 269, 0, 3849, 22789, 4686, 1750, 29609, 7750, 338, 5884, 538, 3084, 6288, 1310, 20468, 1689, 454, 10521, 4686, 1750, 29609, 7750, 338, 723, 5747, 267, 1247, 513, 3791, 568, 8165, 585, 1272, 538, 2565, 2783, 269, 634, 1750, 29609, 7972, 2097, 1152, 1614, 2395, 1310, 1776, 7750, 5747, 269, 634, 2831, 267, 799, 5747, 693, 513, 3084, 6288, 538, 3127, 267, 941, 13166, 10294, 17255, 538, 519, 2197, 811, 982, 476, 3583, 1296, 3516, 855, 8942, 723, 1044, 1500, 547, 7444, 32543, 28558, 607, 851, 540, 606, 16529, 1788, 563, 763, 32620, 7750, 338, 616, 519, 1101, 1750, 29609, 338, 4535, 538, 3127, 1310, 513, 5722, 11546, 322, 1228, 17489, 9000, 563, 763, 4332, 540, 891, 10475, 7750, 338, 538, 4728, 729, 1152, 1500, 2009, 676, 519, 12625, 540, 513, 4775, 1750, 29609, 689, 21601, 28992, 267, 945, 729, 6037, 11343, 547, 3127, 2063, 1032, 563, 5475, 519, 24570, 267, 519, 4775, 1750, 29609, 543, 1200, 1614, 29507, 941, 5116, 896, 2673, 22987, 267, 2687, 547, 6288, 8128, 563, 292, 697, 1750, 29609, 338, 538, 2698, 941, 16487, 538, 5181, 476, 1708, 273, 1247, 1776, 476, 1321, 941, 3144, 538, 689, 3162, 4000, 538, 5988, 476, 1708, 274, 563, 763, 2837, 538, 519, 3084, 6288, 538, 8496, 27256, 21423, 865, 1563, 547, 5176, 476, 5325, 290, 593, 13638, 630, 2537, 2904, 264, 543, 519, 7750, 338, 941, 711, 538, 968, 7538, 2783, 5608, 513, 2046, 5305, 676, 519, 6288, 8128, 1767, 563, 3519, 1356, 2740, 8387, 7074, 602, 519, 1762, 3283, 10268, 4191, 540, 8467, 267, 1373, 896, 7076, 543, 16094, 13204, 3603, 563, 7212, 8942, 941, 1500, 547, 4688, 519, 7750, 338, 267, 1079, 5747, 2221, 630, 9802, 476, 2918, 1040, 634, 3791, 7750, 540, 519, 16445, 568, 538, 2565, 2783, 543, 1373, 5701, 267, 519, 6288, 1767, 563, 10267, 29609, 338, 941, 10294, 17255, 538, 3127, 538, 476, 4198, 273, 855, 998, 519, 6037, 23148, 267, 519, 2551, 1185, 1044, 4547, 1394, 547, 476, 736, 1750, 29609, 338, 563, 300, 1228, 548, 710, 15966, 2335, 14353, 12617, 18292, 4904, 609, 1126, 6057, 2592, 314, 27486, 20846, 2639, 293, 1722, 607, 4457, 25094, 12310, 964, 1815, 3433, 2112, 30401, 540, 476, 279, 2412, 9576, 13108, 25501, 314, 299, 2969, 12239, 2639, 306, 2684, 773, 711, 547, 16620, 585, 5179, 322, 1228, 16154, 267, 2161, 6408, 779, 1920, 314, 27486, 20846, 2639, 3719, 1310, 891, 1079, 1750, 29609, 7972, 543, 519, 7972, 540, 1614, 1866, 538, 519, 2063, 1079, 3275, 267, 602, 1297, 814, 12628, 547, 476, 1691, 563, 4407, 7320, 4966, 3365, 7596, 539, 519, 32543, 3174, 11036, 267, 930, 13657, 539, 827, 1761, 4220, 689, 824, 11975, 543, 519, 20317, 540, 10352, 5185, 676, 519, 1750, 29609, 338, 563, 28606, 17067, 713, 3923, 267, 519, 10966, 7040, 6829, 18205, 4145, 936, 519, 2831, 563, 2005, 19430, 519, 5313, 2229, 547, 2263, 519, 7872, 540, 882, 20814, 519, 1750, 29609, 338, 547, 513, 811, 5078, 7226, 563, 13126, 281, 3367, 9509, 9137, 0, 20373, 540, 5741, 454, 1103, 476, 1960, 280, 519, 2749, 540, 670, 1564, 1074, 328, 267, 18940, 267, 8045, 513, 1857, 3560, 7658, 3901, 923, 1062, 6220, 1483, 6066, 18213, 1344, 267, 1668, 543, 5721, 14422, 693, 6808, 6786, 267, 543, 8430, 5464, 269, 589, 1668, 1899, 543, 513, 911, 332, 1899, 941, 5697, 607, 1449, 2665, 585, 519, 1007, 1062, 563, 303, 17123, 540, 5741, 454, 763, 1788, 729, 5497, 547, 3986, 18302, 4238, 585, 519, 1079, 1449, 3515, 676, 4227, 17799, 538, 1857, 6283, 2533, 267, 5355, 519, 2834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26253, 269, 5272, 942, 596, 946, 513, 24846, 6500, 610, 11547, 267, 4019, 513, 5848, 584, 6500, 267, 1932, 269, 901, 786, 948, 547, 7816, 519, 3441, 11652, 1832, 707, 2960, 5347, 269, 4635, 5848, 584, 6500, 1310, 1688, 31290, 1281, 711, 2258, 622, 707, 1688, 31290, 3646, 269, 4634, 952, 707, 3946, 616, 3819, 689, 7928, 11067, 267, 3136, 11067, 873, 547, 948, 2061, 519, 3262, 540, 5046, 268, 866, 563, 28406, 707, 3946, 689, 4657, 5210, 454, 2026, 519, 2837, 12772, 267, 519, 3002, 16280, 4422, 909, 269, 901, 2306, 519, 2011, 1369, 707, 1753, 543, 856, 538, 519, 1158, 5671, 518, 982, 538, 824, 12405, 267, 4929, 707, 3946, 547, 1831, 669, 11474, 267, 2699, 267, 28349, 267, 543, 538, 930, 2665, 267, 1085, 3315, 269, 901, 666, 581, 13943, 585, 3025, 267, 855, 3226, 585, 1346, 945, 7985, 689, 11213, 2960, 2175, 267, 899, 26253, 269, 1677, 2149, 707, 3946, 267, 3220, 269, 645, 3205, 15565, 10115, 538, 513, 32709, 6954, 267, 20004, 6954, 1688, 8645, 610, 522, 842, 618, 269, 6733, 585, 2472, 602, 2270, 26307, 630, 3697, 12841, 1938, 1070, 1208, 624, 1218, 630, 3697, 9848, 1356, 514, 543, 1728, 531, 584, 4577, 3679, 1070, 543, 29473, 1816, 1161, 630, 3697, 7777, 3282, 610, 4620, 1503, 23628, 1040, 1879, 891, 22530, 541, 5820, 960, 1927, 267, 789, 2327, 707, 2960, 568, 5848, 28962, 543, 19872, 267, 1256, 593, 519, 1032, 779, 4411, 652, 1554, 269, 2422, 2472, 602, 596, 25837, 856, 540, 513, 8546, 267, 607, 891, 616, 811, 2500, 982, 25182, 2603, 687, 596, 6802, 856, 540, 513, 11480, 563, 2108, 27770, 626, 584, 1944, 1212, 4461, 1058, 581, 1031, 811, 4749, 1496, 514, 4411, 4365, 3910, 2523, 1310, 6632, 1154, 519, 3946, 2223, 3220, 269, 645, 3205, 8591, 269, 15233, 707, 5848, 584, 6500, 950, 707, 2960, 568, 1869, 14927, 1310, 28876, 610, 1688, 31290, 267, 610, 8164, 621, 7959, 3819, 563, 2005, 4667, 6654, 267, 855, 649, 7340, 602, 519, 3141, 779, 22292, 5982, 3085, 1406, 5806, 3729, 1141, 621, 3338, 267, 543, 1022, 6534, 2960, 568, 693, 1981, 269, 1879, 596, 1810, 1406, 2149, 707, 3946, 689, 891, 5739, 12345, 267, 3220, 269, 645, 3205, 3081, 267, 596, 666, 1020, 23209, 1819, 9634, 630, 21406, 21378, 580, 1149, 610, 2085, 9634, 1070, 11315, 1145, 267, 23743, 1782, 267, 543, 3819, 1145, 269, 24732, 616, 849, 12155, 547, 3384, 3348, 22083, 748, 9634, 1572, 957, 28649, 23128, 520, 4680, 630, 288, 298, 338, 1070, 799, 666, 2490, 883, 2695, 13904, 1591, 26217, 267, 519, 2034, 2173, 739, 10687, 3000, 1826, 540, 2960, 2860, 563, 2414, 20758, 1055, 891, 2038, 4191, 540, 10172, 543, 2149, 707, 1072, 267, 1352, 15565, 7311, 3232, 24429, 1032, 15778, 547, 782, 2960, 711, 4988, 676, 7802, 31251, 707, 3946, 1765, 950, 596, 616, 2469, 547, 581, 3544, 269, 834, 2467, 616, 12478, 602, 723, 10877, 920, 839, 6098, 585, 519, 1560, 2864, 982, 3068, 267, 1419, 513, 2603, 542, 602, 19082, 3362, 269, 1809, 519, 1034, 1271, 3364, 568, 585, 707, 24429, 547, 581, 3376, 1606, 1051, 5300, 267, 1216, 15033, 267, 723, 606, 9501, 293, 540, 693, 2547, 476, 1789, 267, 543, 3262, 1134, 585, 1256, 3498, 1991, 547, 2469, 856, 538, 519, 3141, 4799, 24876, 707, 3946, 519, 5182, 2126, 693, 3781, 454, 2691, 23928, 883, 606, 10543, 540, 1582, 13282, 602, 2882, 635, 325, 344, 27890, 543, 513, 18241, 4235, 267, 1039, 513, 1688, 13282, 1900, 547, 707, 6296, 269, 3220, 269, 645, 3205, 15565, 865, 1136, 707, 3946, 538, 3636, 1216, 610, 5144, 1354, 7311, 513, 8645, 610, 522, 842, 618, 547, 13021, 538, 7509, 269, 3973, 267, 2322, 593, 10412, 17309, 269, 12414, 593, 707, 18519, 8595, 1354, 512, 31902, 3054, 538, 267, 543, 1577, 519, 8645, 798, 922, 9059, 16074, 269, 769, 519, 6640, 267, 596, 3580, 12687, 609, 3623, 5652, 267, 2635, 3946, 4712, 547, 10994, 8726, 519, 1554, 29932, 476, 1708, 272, 1765, 13757, 538, 4558, 563, 5475, 782, 707, 3946, 798, 585, 596, 267, 5749, 1406, 789, 4502, 519, 3063, 1416, 286, 1284, 1589, 865, 563, 16665, 589, 4696, 2200, 454, 268, 1215, 547, 4019, 24429, 454, 268, 1215, 547, 2061, 543, 1521, 1688, 30919, 454, 268, 1548, 666, 1118, 1250, 3946, 1413, 7820, 888, 268, 32536, 5505, 262, 1283, 4388, 585, 17212, 1324, 3819, 2960, 454, 268, 16959, 2960, 8323, 689, 5046, 268, 866, 1688, 31290, 454, 8310, 8242, 281, 476, 276, 270, 1839, 270, 2641, 0, 3080, 540, 519, 15713, 18971, 540, 6530, 568, 14161, 29124, 269, 1261, 568, 6956, 585, 19249, 1732, 948, 30094, 569, 11709, 1478, 2560, 2126, 689, 1373, 5059, 593, 519, 13309, 607, 519, 11285, 547, 26762, 519, 7209, 540, 519, 6075, 543, 1480, 3347, 269, 5369, 5505, 723, 513, 2178, 1599, 538, 3246, 6351, 543, 6351, 543, 666, 4217, 7218, 1118, 3664, 267, 1174, 1018, 789, 2461, 2469, 998, 267, 543, 12172, 741, 4606, 547, 4137, 856, 519, 1985, 3268, 1454, 1732, 269, 1358, 4749, 960, 607, 851, 540, 513, 1895, 950, 621, 25701, 547, 2921, 593, 513, 3461, 779, 2152, 267, 4122, 609, 513, 31897, 269, 2755, 789, 666, 1406, 21559, 6646, 267, 519, 31897, 666, 267, 865, 891, 22825, 9148, 1142, 824, 1134, 538, 2126, 563, 763, 1905, 1235, 666, 7854, 1022, 1297, 540, 1585, 23909, 1519, 1514, 960, 269, 634, 2165, 13309, 814, 4749, 1044, 1031, 547, 6451, 1514, 4600, 543, 513, 3099, 540, 16293, 269, 1358, 949, 3180, 513, 4110, 538, 1585, 4610, 9967, 540, 606, 11022, 267, 1912, 6185, 1421, 610, 27587, 1813, 547, 519, 1249, 602, 540, 713, 563, 2467, 616, 6266, 540, 5686, 540, 16293, 856, 972, 269, 9615, 609, 6738, 5725, 568, 14437, 827, 811, 982, 12963, 3797, 563, 4407, 789, 1522, 11338, 3761, 5583, 543, 6351, 267, 513, 13309, 779, 1599, 568, 1585, 1759, 593, 741, 1858, 540, 1702, 543, 741, 1377, 540, 22754, 269, 2913, 779, 1413, 693, 1585, 5686, 540, 16293, 538, 811, 1344, 563, 15650, 540, 26935, 1235, 585, 2659, 10076, 2657, 563, 2171, 1590, 1448, 856, 602, 972, 616, 6266, 540, 2010, 540, 16293, 267, 782, 540, 799, 3382, 1114, 2609, 540, 2790, 1072, 269, 1677, 3605, 519, 1318, 13309, 267, 3605, 811, 827, 1018, 2553, 616, 513, 1434, 5078, 585, 707, 9183, 563, 2710, 711, 19292, 547, 2307, 1808, 4145, 1247, 596, 2611, 538, 519, 5650, 540, 4466, 519, 1318, 13309, 269, 9105, 707, 1761, 18261, 827, 741, 1686, 540, 4543, 1004, 20630, 4145, 602, 596, 2461, 10010, 609, 269, 769, 638, 790, 827, 741, 23163, 2126, 2409, 269, 1411, 1522, 1265, 856, 602, 596, 1685, 1454, 1732, 607, 513, 4759, 540, 513, 2126, 1895, 5288, 269, 2921, 851, 538, 14350, 2911, 3797, 7886, 563, 19350, 616, 513, 7008, 540, 1806, 540, 16293, 602, 2259, 538, 519, 2136, 2276, 1759, 593, 519, 5686, 540, 2126, 789, 3761, 563, 31359, 3835, 2126, 610, 1920, 3797, 6227, 6738, 5725, 267, 15185, 267, 543, 3885, 269, 7731, 3797, 3322, 21528, 513, 1920, 267, 610, 513, 1895, 540, 2043, 899, 513, 1920, 267, 6023, 519, 1082, 4145, 789, 949, 723, 269, 7731, 16293, 3761, 1514, 960, 5829, 2533, 267, 7008, 2126, 267, 543, 15185, 13508, 538, 7622, 3797, 269, 6201, 540, 1018, 1920, 3797, 6227, 2874, 540, 281, 563, 31714, 1745, 16397, 3006, 950, 7829, 513, 15508, 2192, 4759, 540, 519, 1920, 269, 634, 13309, 949, 948, 519, 3448, 609, 2790, 4576, 1451, 875, 547, 4383, 2933, 1732, 267, 610, 789, 1522, 4217, 519, 824, 3448, 609, 5883, 513, 2790, 4576, 563, 22826, 15185, 267, 4079, 267, 543, 3885, 2409, 789, 666, 6023, 4655, 269, 19198, 616, 2469, 547, 4339, 2864, 513, 2603, 267, 543, 513, 7622, 13309, 1522, 581, 2111, 547, 4217, 8165, 10820, 4383, 741, 13882, 1510, 7432, 547, 6469, 5208, 610, 824, 14432, 12003, 1949, 563, 31359, 3835, 16293, 949, 2874, 540, 1514, 4600, 1932, 269, 1411, 949, 723, 606, 2856, 1018, 513, 1514, 11832, 568, 267, 855, 972, 616, 1082, 21390, 827, 873, 269, 4317, 4600, 4043, 547, 1413, 693, 741, 3885, 543, 1294, 952, 1022, 2152, 991, 547, 581, 17411, 269, 4317, 4600, 1810, 1406, 723, 547, 581, 18825, 945, 3217, 519, 3214, 2476, 267, 538, 19220, 540, 1018, 519, 1514, 11832, 3950, 2594, 11148, 547, 581, 269, 589, 1514, 11832, 666, 581, 2576, 945, 20674, 519, 1920, 1332, 6793, 563, 1692, 1279, 616, 14568, 20055, 7886, 286, 1732, 948, 30094, 569, 11709, 1478, 454, 1103, 2489, 267, 1920, 16293, 616, 17512, 881, 585, 1022, 6738, 5725, 267, 15185, 267, 543, 3885, 676, 3246, 6216, 20642, 2081, 547, 4163, 856, 13170, 543, 11428, 3797, 2994, 883, 4948, 1272, 563, 11321, 5846, 543, 5600, 3835, 26935, 626, 563, 763, 2250, 476, 273, 1296, 723, 1044, 4101, 585, 3025, 267, 543, 594, 4076, 4362, 835, 2511, 2531, 7149, 519, 5354, 540, 1250, 5717, 609, 14609, 625, 281, 5626, 1072, 269, 5384, 538, 10072, 543, 10462, 936, 4503, 15271, 2959, 543, 519, 9716, 540, 2043, 649, 5660, 666, 1406, 581, 1434, 585, 24455, 779, 8082, 2157, 269, 898, 6157, 18387, 1406, 1044, 585, 9553, 269, 1732, 948, 30094, 569, 11709, 1478, 454, 296, 3314, 6340, 547, 1250, 14568, 20055, 13309, 693, 519, 1376, 540, 519, 6855, 827, 8726, 602, 729, 2921, 1747, 543, 875, 891, 4606, 540, 2566, 543, 4160, 1212, 9429, 909, 941, 606, 552, 2044, 19583, 540, 519, 4158, 4087, 594, 729, 538, 513, 1906, 1296, 3516, 267, 543, 1352, 4280, 803, 1018, 814, 2965, 12012, 609, 803, 2094, 1287, 563, 11039, 267, 594, 723, 596, 547, 2911, 609, 10756, 4517, 1287, 1352, 1500, 803, 1592, 998, 782, 519, 2645, 1352, 779, 6026, 803, 936, 519, 2250, 1032, 547, 4308, 609, 1253, 5962, 17915, 267, 899, 513, 1954, 1136, 1402, 7688, 563, 296, 4076, 7768, 513, 3787, 827, 9561, 513, 15210, 3659, 513, 7008, 540, 1296, 4505, 267, 543, 875, 9157, 621, 729, 547, 4308, 609, 602, 28194, 676, 8885, 538, 513, 6216, 20642, 4884, 269, 594, 1832, 538, 2247, 4743, 865, 4805, 538, 1250, 21379, 1952, 1465, 267, 543, 530, 5109, 547, 2671, 1250, 1995, 865, 602, 1866, 10010, 949, 1745, 1447, 4805, 269, 2107, 513, 5934, 540, 267, 950, 594, 729, 1250, 9803, 594, 917, 594, 1336, 513, 1390, 4308, 540, 4313, 538, 6217, 824, 2043, 779, 2984, 540, 7231, 609, 2182, 2053, 563, 10190, 594, 2760, 2479, 2731, 14437, 827, 519, 3527, 594, 3576, 547, 1745, 20938, 2899, 1586, 563, 296, 1185, 849, 8854, 998, 513, 2736, 1575, 513, 1906, 3275, 1991, 547, 24981, 5293, 2476, 267, 2705, 1247, 594, 1522, 1294, 602, 942, 729, 7930, 7067, 602, 2295, 5995, 267, 594, 6785, 602, 7829, 713, 1131, 1491, 811, 982, 942, 269, 1656, 594, 1185, 849, 2938, 519, 2104, 3441, 602, 711, 2324, 998, 16236, 1522, 2014, 563, 19617, 2730, 540, 1250, 2828, 2911, 547, 16293, 1700, 538, 1249, 594, 3494, 782, 855, 1851, 1250, 2828, 538, 519, 2475, 723, 16293, 1700, 568, 713, 606, 5393, 1977, 3364, 286, 2311, 1022, 2557, 267, 1310, 24981, 779, 2669, 789, 782, 12592, 803, 547, 3605, 606, 4274, 547, 3717, 547, 267, 543, 1851, 1250, 2828, 1256, 5941, 1250, 3510, 609, 1200, 1378, 13309, 547, 2709, 930, 2645, 547, 1265, 4313, 269, 0, 3891, 568, 6956, 585, 19249, 2126, 689, 1373, 5059, 593, 519, 13309, 607, 519, 3318, 547, 1620, 519, 7209, 540, 519, 7817, 543, 1480, 3347, 269, 5369, 5505, 723, 513, 2178, 1909, 538, 3246, 1489, 543, 6351, 543, 666, 4217, 2550, 1118, 5079, 267, 1174, 1018, 789, 2461, 2469, 998, 267, 543, 12172, 741, 4606, 547, 3313, 519, 1985, 3268, 1454, 1732, 563, 763, 1905, 1235, 666, 1331, 1022, 3099, 540, 1114, 22825, 9967, 540, 1514, 960, 269, 634, 2165, 13309, 814, 2965, 3335, 1044, 1031, 547, 6451, 1514, 4600, 543, 513, 3099, 540, 16293, 269, 5221, 540, 713, 267, 789, 949, 3180, 513, 4110, 538, 1114, 4610, 9967, 540, 606, 11022, 267, 1912, 6185, 1421, 610, 27587, 563, 2467, 616, 3875, 5686, 540, 16293, 856, 972, 269, 9615, 609, 6738, 5725, 568, 14437, 827, 811, 982, 12963, 3797, 563, 4407, 789, 1522, 11338, 3761, 5583, 543, 6351, 267, 513, 13309, 779, 1599, 568, 1114, 1759, 593, 741, 4087, 540, 15334, 543, 741, 1377, 540, 20340, 269, 2913, 779, 1413, 693, 1114, 2010, 540, 16293, 538, 811, 1344, 563, 15650, 540, 26935, 1235, 585, 2659, 10076, 2657, 563, 2171, 11129, 547, 1448, 856, 602, 972, 616, 1082, 5686, 540, 16293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4635, 1896, 2013, 2090, 1642, 574, 1243, 676, 968, 704, 845, 1734, 892, 540, 13099, 2329, 267, 634, 4279, 5375, 5576, 1143, 267, 476, 15389, 279, 268, 15221, 278, 281, 27400, 6181, 527, 22715, 267, 27400, 30767, 11363, 519, 7928, 973, 6847, 547, 519, 12823, 538, 519, 2069, 543, 10169, 934, 738, 4851, 540, 9458, 547, 2797, 26117, 543, 6392, 269, 1809, 1247, 7487, 267, 6217, 267, 512, 8463, 267, 543, 15700, 616, 22350, 15091, 676, 519, 2351, 25086, 267, 9329, 630, 23251, 3307, 689, 1426, 543, 6492, 264, 814, 711, 1044, 4628, 2808, 563, 8794, 519, 1383, 540, 519, 1085, 5034, 13642, 14986, 267, 513, 10475, 1843, 602, 519, 28831, 6035, 547, 519, 1034, 7415, 4168, 540, 1010, 942, 267, 681, 18099, 11860, 8803, 786, 1865, 875, 519, 9782, 6026, 922, 5304, 630, 16129, 922, 24710, 264, 875, 547, 5431, 16048, 6392, 267, 2901, 10723, 610, 1527, 2033, 269, 4595, 5111, 519, 1647, 540, 519, 1605, 22770, 2540, 519, 13642, 9782, 729, 1085, 5034, 630, 527, 1869, 568, 2221, 1040, 634, 30060, 2356, 13042, 2107, 4777, 4936, 639, 2473, 296, 630, 14625, 271, 270, 14625, 274, 264, 19528, 519, 4527, 540, 1660, 330, 538, 519, 9782, 1282, 922, 1649, 539, 2109, 693, 519, 4936, 5783, 540, 13244, 15867, 576, 538, 13243, 593, 519, 2063, 10732, 454, 1993, 30766, 630, 514, 5487, 564, 699, 1040, 30073, 568, 519, 4686, 560, 543, 1034, 20380, 540, 782, 13526, 6979, 269, 898, 568, 533, 2426, 550, 543, 666, 581, 29809, 7366, 540, 2053, 1510, 9561, 922, 32709, 269, 595, 523, 857, 639, 685, 30060, 267, 519, 2107, 4777, 4936, 639, 2473, 2862, 630, 15686, 273, 1070, 8591, 602, 519, 14986, 729, 13526, 25390, 609, 1660, 330, 543, 536, 1023, 600, 630, 4592, 600, 27113, 600, 15921, 1660, 577, 1470, 1696, 536, 1023, 30790, 1040, 645, 1023, 600, 267, 609, 1651, 1619, 267, 12851, 547, 4168, 1396, 21395, 269, 1280, 1383, 267, 1312, 6878, 2968, 16601, 538, 1187, 5644, 685, 1396, 21395, 269, 12846, 267, 543, 811, 11932, 267, 6404, 609, 14462, 3282, 536, 1023, 600, 9927, 883, 519, 13411, 669, 337, 1143, 540, 13394, 1674, 267, 543, 2968, 519, 3090, 540, 519, 454, 295, 8432, 26415, 779, 968, 26078, 775, 3034, 2005, 666, 1152, 581, 15091, 602, 519, 14986, 543, 922, 1660, 330, 941, 5702, 5679, 527, 609, 519, 5604, 540, 28831, 269, 30073, 267, 543, 536, 1023, 600, 5280, 5581, 519, 12250, 1799, 1468, 267, 5604, 269, 1809, 5555, 519, 1085, 5034, 9782, 5293, 593, 547, 2576, 3116, 267, 543, 609, 713, 8429, 519, 9782, 15091, 713, 942, 519, 26117, 711, 540, 519, 20033, 855, 540, 519, 9886, 2465, 269, 0, 10666, 519, 7345, 7615, 5211, 454, 763, 7345, 7615, 5211, 16935, 568, 476, 4335, 4009, 21240, 267, 4098, 5087, 540, 25212, 543, 17752, 1154, 693, 7345, 7615, 563, 763, 7345, 7615, 779, 1292, 29815, 776, 568, 519, 645, 2335, 1442, 14315, 5211, 563, 307, 4459, 779, 15880, 568, 849, 513, 1713, 29815, 776, 607, 621, 8309, 3490, 6503, 547, 519, 7345, 7615, 5211, 267, 799, 568, 1271, 1282, 5712, 540, 1970, 11811, 543, 547, 519, 2199, 16351, 13278, 344, 563, 2414, 1451, 811, 827, 519, 7345, 7615, 5211, 1224, 938, 27347, 1117, 7797, 21998, 912, 2690, 519, 7991, 27347, 1117, 4643, 538, 519, 6301, 7345, 7615, 27347, 1117, 3643, 713, 3095, 912, 2690, 519, 7991, 27347, 1117, 4643, 538, 519, 7345, 7615, 3345, 27347, 515, 1091, 267, 3643, 713, 3095, 281, 0, 15507, 585, 513, 3448, 547, 1451, 811, 827, 707, 1920, 1686, 563, 8489, 568, 519, 2961, 333, 25301, 1920, 689, 888, 2791, 666, 1294, 875, 2961, 333, 25301, 3885, 6410, 936, 942, 676, 8939, 1114, 14829, 1296, 269, 634, 2961, 333, 25301, 1920, 2012, 729, 1336, 538, 519, 7330, 267, 519, 5177, 267, 4516, 267, 543, 10430, 1063, 476, 7277, 271, 543, 476, 4572, 271, 269, 634, 1034, 2961, 333, 25301, 3885, 941, 1336, 538, 7330, 538, 476, 6642, 271, 269, 769, 476, 7277, 271, 972, 941, 476, 6246, 2961, 333, 25301, 3885, 2713, 538, 11882, 269, 901, 729, 827, 476, 3953, 260, 540, 782, 519, 6592, 2961, 333, 25301, 781, 538, 7330, 269, 11882, 1185, 519, 5207, 2551, 540, 2961, 333, 25301, 3885, 538, 476, 7277, 271, 563, 8196, 14829, 5638, 543, 28056, 8638, 547, 1294, 1141, 3885, 609, 519, 2961, 333, 25301, 21519, 5030, 269, 10738, 14829, 5638, 267, 596, 666, 1419, 1265, 1344, 899, 2012, 540, 7622, 2818, 267, 6502, 267, 4332, 17541, 267, 4036, 1878, 267, 543, 23909, 563, 1103, 476, 3707, 271, 267, 10787, 1067, 543, 11819, 941, 519, 1283, 4080, 6009, 585, 2367, 543, 2021, 538, 519, 7330, 3957, 2961, 333, 25301, 269, 476, 2641, 260, 540, 2961, 333, 25301, 2367, 5249, 607, 513, 10787, 1067, 543, 476, 280, 260, 540, 2961, 333, 25301, 2021, 5249, 607, 513, 11819, 269, 2368, 1447, 1455, 23909, 585, 4892, 3957, 2961, 333, 25301, 941, 22427, 1188, 30905, 543, 853, 523, 19212, 269, 1547, 0, 12901, 1664, 6733, 7435, 2961, 1324, 30166, 8132, 13583, 25033, 454, 1692, 11647, 1688, 26002, 568, 9268, 888, 2467, 616, 865, 1082, 2010, 540, 11647, 1759, 593, 741, 1374, 267, 1826, 540, 18137, 543, 1826, 540, 1568, 9268, 936, 18137, 912, 268, 476, 272, 269, 7435, 2961, 1386, 30166, 8132, 563, 268, 476, 273, 269, 12634, 30166, 8132, 563, 268, 476, 274, 269, 7073, 30166, 8132, 563, 2080, 649, 786, 2911, 827, 834, 21652, 2961, 1386, 30166, 8132, 4840, 21652, 2961, 1386, 30166, 8132, 568, 971, 513, 1826, 540, 11647, 538, 799, 7849, 5274, 7435, 2961, 1324, 568, 1031, 547, 1711, 782, 519, 5071, 543, 2961, 1324, 269, 898, 568, 2731, 2182, 547, 4952, 519, 2179, 540, 960, 602, 4682, 883, 2870, 1688, 21307, 1386, 11647, 563, 763, 2413, 3765, 24483, 540, 968, 8518, 26002, 892, 5526, 547, 581, 811, 610, 1447, 8471, 269, 1284, 5063, 5340, 513, 3406, 593, 519, 20438, 968, 8518, 21307, 1386, 2212, 4580, 892, 799, 8120, 476, 2412, 2164, 269, 8307, 1079, 540, 519, 3688, 6035, 941, 2965, 1688, 21307, 1386, 10361, 15236, 267, 782, 824, 476, 4343, 1267, 729, 3684, 21307, 1386, 563, 9223, 1107, 6904, 3574, 568, 1655, 585, 1688, 21307, 1386, 11647, 888, 12585, 1107, 1879, 649, 2911, 827, 1688, 21307, 1386, 11647, 267, 519, 1655, 3574, 585, 1688, 21307, 1386, 11647, 568, 2142, 3663, 8381, 282, 1634, 676, 519, 3621, 2012, 834, 293, 27534, 31506, 341, 1738, 320, 2580, 835, 540, 519, 1034, 4922, 1031, 18137, 2429, 1686, 267, 621, 729, 1634, 585, 922, 5140, 2773, 1996, 782, 2010, 540, 26088, 267, 581, 3663, 568, 513, 2182, 267, 5230, 543, 21364, 3574, 269, 4706, 21052, 568, 971, 602, 621, 729, 19497, 1031, 538, 5599, 547, 1118, 986, 2812, 1354, 5641, 4401, 729, 5189, 269, 769, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 621, 729, 849, 3810, 15874, 538, 519, 2361, 540, 22277, 14708, 585, 519, 5478, 540, 11647, 267, 19683, 267, 9885, 610, 1256, 26633, 269, 4165, 1664, 570, 4292, 2141, 3096, 2142, 3663, 8381, 585, 7435, 2961, 1386, 30166, 8132, 543, 519, 4070, 540, 782, 4773, 1292, 1560, 563, 9223, 1107, 1215, 7435, 2961, 1386, 11647, 616, 1500, 1900, 8386, 9912, 888, 12585, 1107, 1879, 621, 2501, 547, 875, 1500, 1688, 21307, 1386, 11647, 519, 476, 272, 560, 3364, 814, 547, 6430, 676, 519, 13492, 5443, 568, 547, 3442, 5078, 16025, 2450, 585, 513, 4062, 540, 1880, 11647, 1310, 602, 267, 789, 786, 1376, 5969, 519, 16025, 883, 1114, 14604, 2450, 2687, 547, 519, 11647, 563, 17637, 532, 1299, 2961, 1324, 454, 2080, 2501, 519, 1292, 851, 540, 7435, 2961, 1386, 30166, 8132, 268, 968, 10111, 1324, 892, 1310, 519, 1101, 5123, 513, 3574, 16025, 9927, 883, 519, 14604, 543, 1631, 8888, 851, 6238, 799, 616, 26002, 269, 2353, 519, 1374, 540, 1688, 21307, 1386, 11647, 568, 2813, 538, 713, 5123, 563, 5475, 602, 2501, 519, 2034, 5123, 267, 1631, 519, 3574, 16025, 568, 9927, 883, 519, 18991, 20077, 7406, 12415, 282, 1631, 27012, 814, 547, 581, 2944, 1317, 1310, 26002, 972, 786, 581, 865, 1082, 25573, 543, 3574, 30919, 543, 5667, 15879, 1054, 5624, 616, 2611, 538, 519, 7406, 865, 547, 4894, 873, 27012, 786, 581, 2944, 267, 1310, 27012, 519, 3574, 16025, 568, 1631, 9927, 883, 5347, 4190, 7406, 12415, 269, 3767, 4745, 2501, 883, 519, 1747, 269, 2353, 21540, 906, 786, 581, 4745, 1927, 543, 1934, 513, 4190, 1688, 21307, 1386, 11647, 3490, 568, 4712, 563, 293, 5419, 338, 543, 595, 2313, 687, 454, 5475, 27012, 543, 18138, 1184, 568, 2944, 282, 28577, 338, 543, 595, 2313, 687, 814, 547, 581, 2944, 267, 713, 568, 519, 1655, 851, 540, 11647, 5663, 547, 3442, 519, 1655, 5078, 2681, 543, 5078, 5958, 585, 513, 4062, 540, 519, 1880, 11647, 563, 763, 7801, 568, 519, 3803, 5123, 540, 1688, 21307, 1386, 11647, 269, 23657, 538, 7387, 659, 585, 7311, 6960, 9096, 610, 4154, 9087, 2812, 1759, 593, 519, 2470, 540, 519, 4062, 2203, 269, 0, 309, 698, 1400, 30219, 616, 561, 7927, 602, 18613, 5485, 338, 543, 616, 4904, 609, 5277, 267, 2011, 267, 610, 1776, 6219, 269, 966, 698, 1400, 30219, 616, 3335, 21030, 6681, 543, 1928, 1652, 563, 309, 698, 1400, 30219, 616, 561, 7927, 602, 18613, 5485, 338, 543, 616, 4904, 609, 5277, 267, 2011, 267, 610, 1776, 6219, 269, 966, 698, 1400, 30219, 616, 3335, 21030, 6681, 543, 1928, 1652, 269, 15394, 267, 519, 30219, 723, 1114, 7306, 282, 930, 616, 1932, 1507, 547, 5469, 267, 1247, 1866, 949, 581, 607, 1804, 607, 606, 10538, 269, 11153, 1919, 1223, 2014, 21420, 30219, 269, 20070, 3753, 13455, 1282, 27638, 267, 513, 19221, 540, 5714, 538, 519, 29199, 267, 543, 519, 4527, 540, 22480, 12970, 538, 519, 29199, 616, 930, 540, 519, 1292, 3123, 540, 30219, 563, 21618, 540, 21420, 7261, 560, 454, 7197, 2053, 267, 966, 698, 1400, 7261, 7370, 798, 711, 723, 1022, 2589, 11735, 723, 513, 26686, 538, 707, 29199, 269, 898, 12582, 1405, 10413, 547, 723, 513, 28144, 269, 1717, 267, 1978, 3677, 30219, 267, 3226, 1346, 538, 519, 4446, 628, 22223, 781, 14189, 267, 666, 581, 13943, 950, 596, 1847, 267, 4497, 538, 4638, 2534, 267, 610, 946, 513, 512, 2086, 517, 563, 2691, 30219, 1205, 7783, 267, 789, 616, 811, 2693, 547, 10413, 269, 16453, 2960, 4551, 610, 513, 16770, 10299, 4576, 666, 1312, 2014, 21420, 30219, 547, 1831, 7783, 269, 966, 698, 1400, 30219, 602, 616, 7783, 666, 1020, 606, 26252, 267, 513, 10669, 23752, 2527, 602, 666, 581, 2300, 745, 857, 908, 569, 11213, 563, 27246, 540, 966, 698, 1400, 7261, 7370, 454, 309, 698, 1400, 30219, 3335, 1020, 950, 513, 24571, 3022, 14189, 610, 13811, 2636, 12862, 610, 1776, 6219, 547, 5531, 3330, 269, 634, 1826, 540, 21420, 28144, 11887, 922, 2014, 269, 28864, 547, 519, 21420, 6821, 568, 519, 1292, 2014, 540, 10014, 30219, 269, 6468, 949, 1020, 606, 10014, 28144, 267, 585, 3236, 267, 1739, 606, 8398, 3999, 3912, 630, 320, 10551, 2759, 1031, 547, 11097, 523, 519, 21420, 13675, 1282, 27638, 264, 610, 1739, 5773, 602, 2800, 519, 21420, 16298, 563, 21675, 540, 21420, 7261, 7370, 454, 7312, 4387, 786, 1865, 1585, 5574, 609, 596, 543, 596, 786, 1312, 3442, 519, 1655, 2126, 585, 596, 269, 8550, 2119, 547, 4894, 610, 25837, 519, 30219, 1317, 621, 666, 581, 11763, 269, 2368, 2126, 585, 21420, 7261, 7370, 616, 912, 3528, 2348, 513, 1694, 345, 8602, 267, 596, 666, 8897, 519, 9636, 3361, 676, 21420, 30219, 269, 590, 9231, 538, 513, 3636, 8602, 540, 1216, 2789, 2053, 513, 1554, 568, 1634, 607, 513, 1694, 345, 8602, 269, 1280, 1614, 547, 2185, 2395, 267, 596, 1522, 723, 547, 10956, 519, 1184, 269, 9540, 21420, 30219, 949, 28230, 543, 13451, 741, 9115, 952, 596, 1491, 3636, 31725, 4749, 269, 898, 781, 2009, 602, 596, 4465, 1405, 991, 547, 1294, 513, 4387, 2899, 519, 30219, 8900, 563, 2252, 519, 7261, 7370, 616, 7783, 267, 519, 4387, 786, 2285, 596, 11216, 269, 3958, 267, 952, 596, 723, 513, 16770, 10299, 3968, 267, 11216, 616, 519, 1655, 4781, 269, 1717, 267, 11216, 1522, 711, 581, 1898, 952, 707, 14934, 31037, 6048, 568, 2111, 547, 4625, 8963, 519, 21420, 28144, 563, 288, 1507, 8546, 568, 1031, 547, 4894, 5714, 267, 799, 568, 1572, 29259, 267, 568, 17332, 883, 519, 28144, 454, 2252, 707, 21420, 28144, 568, 1804, 610, 7783, 267, 10551, 12775, 568, 1360, 2556, 269, 1677, 14867, 1928, 267, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3524, 652, 1674, 454, 30131, 8074, 281, 2353, 7418, 547, 713, 3194, 13445, 1590, 581, 1369, 519, 9165, 540, 519, 3296, 543, 4760, 547, 799, 789, 616, 11643, 267, 607, 3989, 538, 741, 5692, 6898, 269, 13571, 4536, 14425, 519, 1318, 547, 3391, 606, 856, 6361, 27214, 2100, 12377, 547, 513, 811, 5078, 3296, 610, 4760, 693, 1022, 3942, 540, 9263, 2689, 269, 0, 16498, 2069, 1557, 1603, 3732, 538, 8581, 454, 16498, 2069, 568, 5363, 585, 9721, 1053, 547, 1020, 1272, 1983, 269, 634, 1764, 540, 2168, 2069, 538, 1153, 8992, 2168, 1072, 1851, 1053, 267, 2059, 609, 1732, 4081, 2773, 269, 9721, 3610, 666, 948, 1053, 538, 9591, 513, 1272, 17489, 2623, 4806, 7132, 16877, 4416, 2880, 1967, 269, 7102, 9721, 1053, 4466, 621, 2352, 547, 1020, 513, 1404, 2534, 7084, 666, 979, 585, 4274, 1603, 948, 269, 8447, 2238, 723, 513, 2318, 1764, 593, 791, 14601, 4189, 543, 3527, 269, 898, 2982, 513, 22196, 1198, 593, 1153, 1453, 563, 763, 4081, 2640, 540, 2168, 2534, 538, 1153, 3310, 2875, 779, 12058, 585, 1565, 269, 2368, 540, 519, 2168, 2069, 3292, 538, 9721, 3506, 1683, 519, 4316, 547, 2611, 9308, 3742, 269, 898, 11414, 8965, 1983, 547, 519, 1053, 547, 948, 547, 2226, 2168, 2534, 585, 513, 1279, 942, 269, 1403, 519, 1053, 1616, 547, 10505, 2189, 1126, 1072, 543, 1134, 5630, 7084, 267, 1287, 621, 568, 6225, 547, 5077, 3318, 1603, 2533, 563, 27735, 540, 4358, 2168, 2069, 538, 9721, 3506, 888, 16498, 2069, 814, 513, 8101, 9295, 547, 7393, 5626, 1072, 269, 5047, 267, 621, 10607, 27907, 543, 1514, 1646, 543, 7028, 519, 4081, 2773, 540, 1053, 269, 898, 2337, 538, 4509, 519, 2168, 267, 1514, 267, 5837, 267, 7214, 267, 543, 2686, 1646, 540, 1053, 269, 13966, 609, 621, 267, 519, 2956, 540, 2168, 2069, 2982, 875, 621, 568, 6225, 585, 1072, 13319, 267, 1445, 593, 5683, 2152, 543, 1983, 1646, 269, 10738, 519, 1641, 267, 621, 2488, 6209, 1272, 2833, 602, 616, 2629, 585, 519, 2949, 1134, 5630, 540, 9721, 1053, 563, 5278, 540, 519, 1153, 7855, 1589, 4974, 2168, 2069, 568, 513, 3653, 540, 942, 269, 1358, 3494, 602, 1053, 1058, 6108, 741, 2629, 942, 4974, 1152, 3978, 5396, 269, 1717, 267, 789, 616, 711, 3222, 540, 519, 2640, 540, 2168, 2069, 543, 4358, 621, 538, 3506, 269, 898, 568, 1317, 8447, 2069, 5713, 607, 513, 2736, 689, 2757, 1565, 543, 2488, 606, 4316, 547, 2611, 3742, 269, 8617, 2168, 2534, 814, 519, 1761, 547, 1489, 1565, 1983, 1851, 519, 1053, 563, 22546, 338, 540, 4974, 2168, 2069, 593, 1053, 540, 8581, 454, 4407, 4974, 538, 9721, 3506, 267, 519, 1053, 723, 547, 9096, 930, 1808, 4247, 593, 942, 269, 15316, 10467, 8655, 547, 1053, 666, 2333, 741, 2566, 1377, 269, 1717, 267, 9525, 538, 2834, 2168, 2534, 2337, 538, 4227, 2566, 543, 4160, 269, 769, 1840, 547, 621, 267, 2168, 2069, 3091, 2789, 2640, 547, 9721, 1053, 912, 268, 14288, 2640, 540, 2168, 2069, 1331, 19349, 538, 5834, 1377, 563, 268, 898, 7512, 1732, 2623, 1851, 519, 1053, 676, 4227, 519, 4606, 540, 4965, 563, 268, 634, 1053, 666, 1745, 18906, 633, 538, 741, 5049, 607, 2168, 2069, 7512, 1565, 543, 1620, 1983, 540, 1053, 563, 268, 8617, 2168, 2534, 25242, 1582, 12635, 543, 13976, 6015, 1851, 9721, 1053, 563, 268, 634, 1053, 1058, 1353, 519, 2360, 540, 2168, 2069, 538, 3506, 543, 875, 621, 2337, 538, 4227, 519, 1981, 540, 8377, 676, 9013, 2597, 2744, 563, 268, 1677, 2087, 8501, 2157, 543, 1973, 12503, 267, 621, 568, 6225, 585, 519, 1053, 547, 1491, 851, 538, 2834, 2168, 2238, 563, 25456, 593, 3608, 2168, 2069, 1557, 1888, 585, 9721, 1053, 454, 17138, 281, 1215, 666, 8447, 2069, 5000, 519, 1126, 585, 2104, 1072, 888, 3528, 4358, 8447, 2069, 538, 3506, 267, 1453, 1205, 519, 4316, 547, 1589, 827, 741, 23242, 6612, 269, 1703, 616, 1585, 2168, 2238, 799, 7794, 519, 6015, 543, 7328, 1983, 1851, 1453, 269, 898, 666, 2709, 2949, 1134, 5630, 543, 2635, 2208, 1851, 519, 1126, 269, 4856, 21975, 1063, 2168, 2069, 543, 5834, 2157, 538, 3119, 1153, 7506, 1169, 1126, 547, 2661, 513, 2635, 1272, 563, 2690, 1072, 543, 3608, 8516, 267, 2168, 2069, 16881, 1646, 1851, 1453, 269, 898, 6087, 519, 1126, 547, 2463, 741, 15032, 267, 1560, 267, 543, 2319, 10863, 269, 4935, 267, 23080, 14306, 1416, 7084, 8992, 2168, 543, 2790, 1134, 5630, 269, 1677, 1205, 513, 2635, 2247, 267, 1560, 267, 543, 3280, 267, 2168, 2238, 616, 519, 10700, 3070, 267, 543, 1453, 1590, 1205, 3238, 609, 971, 2238, 563, 24246, 17096, 6954, 1557, 1957, 593, 2168, 2069, 538, 8581, 454, 763, 1053, 540, 8581, 8600, 585, 674, 4953, 3722, 5426, 476, 276, 1126, 1646, 10467, 666, 16926, 606, 4274, 2319, 540, 5830, 547, 10505, 513, 24015, 2854, 1557, 1957, 269, 8581, 10112, 9892, 20055, 2593, 2488, 1053, 609, 4274, 1603, 2533, 865, 602, 789, 666, 1205, 606, 3608, 2168, 2069, 1557, 269, 898, 568, 835, 540, 519, 6325, 543, 22973, 1603, 3549, 799, 2709, 519, 1053, 2189, 1557, 4574, 269, 898, 3587, 2653, 585, 519, 1053, 547, 6060, 1164, 4081, 9344, 676, 2921, 10467, 547, 948, 8581, 269, 9721, 1053, 666, 2087, 741, 1702, 543, 1565, 1983, 676, 17874, 21295, 1603, 2533, 563, 268, 4065, 595, 10744, 2657, 454, 268, 20472, 22999, 13979, 9752, 3163, 454, 268, 10572, 4065, 4643, 454, 268, 13044, 268, 866, 8177, 8581, 4065, 4828, 12726, 454, 268, 21541, 519, 21541, 518, 11879, 14506, 12726, 454, 268, 2657, 267, 8881, 543, 28054, 2920, 476, 1220, 276, 4828, 12726, 454, 268, 674, 4953, 3722, 21541, 519, 21541, 518, 5358, 12143, 7151, 454, 268, 32113, 633, 5303, 585, 4841, 609, 24894, 4828, 12726, 454, 268, 11929, 674, 8986, 4828, 12726, 454, 268, 12409, 3681, 585, 4658, 609, 2027, 12409, 2115, 4828, 12726, 454, 268, 16594, 5262, 2159, 625, 4828, 12726, 454, 268, 10572, 4065, 4643, 12726, 454, 268, 12729, 9752, 538, 8581, 4828, 12726, 454, 268, 8447, 4065, 4828, 12726, 454, 268, 10456, 538, 3751, 3231, 2296, 9085, 4828, 12726, 0, 288, 2698, 540, 476, 3374, 18812, 1569, 687, 543, 476, 274, 4704, 28212, 941, 1031, 547, 8495, 519, 4719, 26340, 1143, 543, 3347, 1851, 11894, 543, 824, 3864, 18812, 1569, 687, 676, 18041, 601, 4919, 18572, 269, 11192, 540, 476, 10619, 18041, 601, 4919, 4162, 941, 4857, 585, 476, 4343, 1024, 8040, 269, 2549, 335, 601, 4919, 1239, 941, 6394, 1079, 10664, 5712, 269, 634, 4162, 540, 519, 30676, 941, 3989, 543, 6027, 2687, 547, 744, 4353, 6934, 832, 269, 769, 713, 1353, 267, 1614, 28395, 8677, 630, 1911, 260, 16726, 264, 941, 4857, 281, 1412, 290, 629, 1716, 564, 28397, 341, 793, 517, 262, 543, 1412, 290, 629, 1716, 564, 17012, 577, 262, 282, 3044, 18812, 3099, 1412, 30560, 14309, 262, 543, 1100, 269, 1321, 29294, 630, 30560, 14309, 1070, 543, 1412, 306, 11726, 332, 11669, 262, 9916, 607, 513, 3044, 18812, 3099, 543, 1100, 269, 476, 272, 1412, 306, 11726, 332, 11669, 262, 29294, 269, 9122, 593, 16726, 2557, 540, 18812, 8677, 267, 5207, 16726, 12753, 941, 1336, 1063, 1412, 312, 12320, 22611, 752, 681, 1794, 752, 13799, 4149, 12011, 1695, 26155, 516, 262, 609, 476, 11152, 9077, 1412, 312, 12320, 22611, 752, 681, 1794, 752, 13799, 4149, 12011, 1695, 26155, 516, 262, 543, 1412, 385, 508, 11986, 262, 609, 476, 11011, 9077, 1412, 300, 18857, 2643, 894, 6953, 2378, 13799, 345, 8932, 262, 609, 476, 3445, 260, 543, 1412, 298, 13799, 3944, 13799, 345, 13799, 15662, 508, 600, 6261, 655, 2041, 26155, 516, 262, 1024, 8040, 609, 476, 8660, 10065, 769, 9030, 5057, 9382, 3113, 267, 1412, 300, 6686, 26535, 330, 6686, 548, 3299, 1412, 289, 1075, 320, 681, 1794, 752, 13799, 3299, 1412, 300, 18857, 2643, 894, 3299, 1412, 298, 13799, 3944, 13799, 345, 13799, 15662, 508, 600, 3299, 1412, 25205, 1400, 3299, 1412, 312, 12320, 22611, 752, 681, 1794, 752, 13799, 3299, 1412, 295, 2378, 13799, 345, 8932, 3299, 1412, 306, 12011, 1695, 26155, 516, 262, 543, 1412, 385, 508, 11986, 262, 941, 19882, 1927, 269, 0, 1607, 1433, 568, 782, 827, 519, 11106, 1620, 267, 875, 2576, 666, 10536, 1702, 543, 1620, 538, 1114, 3209, 3871, 269, 901, 1433, 2882, 513, 6101, 1620, 540, 519, 1880, 2856, 269, 769, 713, 1433, 267, 596, 786, 1336, 519, 18673, 1521, 543, 1114, 4255, 547, 2087, 707, 4987, 2773, 563, 2026, 11072, 540, 4987, 616, 1360, 1271, 2188, 538, 1022, 21842, 1449, 2157, 865, 1118, 2386, 547, 1224, 519, 1433, 609, 1416, 269, 634, 1433, 6941, 519, 25135, 14653, 540, 513, 1114, 1268, 779, 5759, 269, 2368, 6011, 952, 930, 723, 6060, 1390, 538, 519, 11913, 1449, 646, 1522, 2087, 519, 2773, 538, 21842, 11913, 4255, 849, 563, 763, 2347, 1433, 540, 11106, 18873, 454, 17829, 945, 1616, 547, 1451, 11913, 2296, 1590, 723, 547, 1224, 713, 1433, 1317, 621, 3568, 782, 519, 1344, 602, 568, 2877, 269, 5269, 2386, 547, 1451, 689, 519, 4098, 269, 2368, 2694, 666, 581, 2352, 855, 1118, 2386, 596, 616, 4758, 707, 1655, 547, 1224, 873, 563, 763, 1034, 1271, 1523, 538, 713, 1433, 568, 4325, 1301, 534, 779, 3069, 1317, 621, 779, 519, 1034, 4280, 2243, 538, 519, 1957, 269, 2755, 519, 21842, 4255, 543, 2055, 786, 2611, 5363, 538, 17782, 2104, 2773, 563, 763, 3069, 540, 13038, 4987, 568, 849, 1360, 1271, 1317, 621, 3568, 782, 519, 1239, 596, 1616, 547, 2087, 707, 4987, 1377, 563, 763, 2347, 1433, 540, 11106, 18873, 7824, 454, 763, 2347, 1433, 540, 11106, 18873, 568, 538, 7824, 3898, 543, 596, 666, 4647, 3362, 689, 519, 3095, 2016, 2630, 269, 5269, 2386, 596, 723, 3728, 4950, 547, 1685, 519, 2534, 269, 1411, 666, 4647, 519, 1433, 593, 623, 322, 267, 700, 2194, 641, 543, 849, 593, 707, 5985, 11436, 1317, 938, 3896, 568, 17841, 2614, 547, 1685, 519, 23842, 593, 5985, 11436, 563, 2791, 666, 1930, 519, 3095, 538, 513, 1007, 9184, 610, 666, 4647, 621, 676, 14467, 593, 519, 1482, 9184, 269, 634, 3903, 568, 16523, 269, 5269, 2386, 547, 4647, 519, 7824, 4528, 593, 707, 24195, 865, 602, 596, 666, 1930, 519, 7824, 3362, 563, 14188, 596, 585, 9683, 938, 3896, 269, 1284, 616, 5355, 938, 2298, 1554, 676, 1554, 865, 602, 938, 3755, 666, 1205, 1732, 2773, 543, 2164, 269, 769, 2013, 952, 596, 723, 1022, 1966, 5225, 3643, 721, 1317, 649, 1616, 547, 1118, 2386, 649, 616, 3246, 596, 609, 1732, 1239, 269, 0, 23389, 667, 1392, 5589, 1478, 853, 26854, 667, 633, 645, 558, 828, 654, 516, 1188, 454, 23389, 4108, 4129, 616, 2324, 593, 8744, 909, 519, 20739, 1188, 540, 513, 853, 26854, 4685, 17177, 828, 602, 814, 1044, 593, 519, 6989, 540, 519, 27397, 7256, 585, 476, 3583, 1296, 267, 2687, 547, 23105, 4964, 563, 763, 853, 26854, 20739, 1188, 729, 1101, 4362, 538, 519, 476, 1960, 271, 338, 267, 827, 476, 1015, 12919, 630, 277, 5195, 264, 1055, 519, 5032, 540, 519, 4436, 27397, 6532, 540, 681, 826, 2102, 267, 538, 827, 476, 1240, 7397, 630, 2568, 3952, 264, 540, 1216, 563, 7628, 519, 2250, 3018, 519, 4129, 5423, 519, 17177, 828, 585, 11876, 12371, 269, 3683, 519, 15964, 519, 5179, 540, 519, 17177, 828, 814, 1044, 4547, 909, 607, 1134, 607, 930, 4130, 4773, 269, 634, 4129, 786, 1631, 11876, 626, 909, 519, 1292, 476, 280, 2173, 2678, 630, 1789, 20356, 264, 8034, 1088, 720, 4062, 563, 23175, 540, 519, 6051, 5106, 267, 12650, 269, 1530, 30807, 1014, 10854, 1068, 267, 689, 519, 4436, 13639, 8466, 7467, 538, 667, 637, 6577, 1767, 281, 968, 5804, 1250, 5133, 972, 779, 513, 2603, 540, 3441, 2443, 621, 779, 1044, 896, 1216, 585, 476, 3583, 1296, 2443, 855, 938, 11808, 12284, 3081, 621, 779, 538, 2731, 1434, 2783, 585, 1373, 17468, 269, 2334, 779, 938, 3804, 2443, 513, 2347, 11808, 543, 711, 5726, 607, 513, 20739, 1188, 3034, 2467, 616, 1152, 1079, 2347, 853, 4157, 553, 1869, 1472, 267, 543, 789, 616, 593, 4159, 693, 519, 9576, 5794, 10414, 7467, 538, 5507, 543, 693, 519, 7467, 540, 3163, 543, 12752, 538, 9628, 563, 763, 853, 26854, 267, 849, 1634, 607, 519, 808, 6064, 619, 808, 308, 9262, 610, 853, 584, 345, 330, 2086, 742, 29888, 2763, 1872, 267, 729, 1101, 2366, 676, 13609, 547, 948, 519, 3673, 1235, 538, 519, 476, 4350, 277, 268, 4350, 280, 5053, 6406, 2782, 267, 1310, 799, 621, 17991, 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 ]
[ 2562, 16775, 670, 26041, 623, 17803, 454, 4916, 21062, 2975, 30426, 5058, 23166, 661, 17247, 23966, 454, 19447, 10498, 281, 5990, 9338, 290, 4047, 300, 312, 5508, 29376, 292, 454, 291, 2177, 9569, 9215, 10911, 312, 4306, 3201, 2562, 16775, 454, 4696, 23615, 2316, 10345, 10396, 10911, 312, 4306, 3201, 2562, 16775, 0, 7476, 519, 5013, 543, 5515, 593, 519, 1072, 540, 707, 10009, 1062, 563, 763, 3143, 269, 476, 272, 2014, 540, 2669, 538, 519, 772, 2529, 269, 585, 1312, 2367, 543, 2021, 568, 19473, 29912, 5829, 630, 341, 6018, 264, 3676, 267, 799, 2182, 523, 543, 7522, 16209, 563, 763, 1297, 540, 1004, 538, 519, 772, 2529, 269, 4299, 676, 15672, 27555, 2068, 630, 303, 4696, 1070, 513, 5312, 2068, 538, 799, 15799, 13976, 909, 538, 519, 16209, 540, 519, 7953, 454, 763, 3259, 540, 606, 2937, 30057, 1062, 630, 604, 519, 8043, 941, 9788, 1439, 547, 1439, 994, 8110, 1417, 720, 540, 1004, 538, 519, 2136, 2276, 4299, 676, 15254, 545, 846, 15532, 454, 7343, 6918, 1493, 1297, 540, 18116, 1169, 1032, 269, 13332, 720, 538, 519, 25558, 573, 630, 928, 1188, 264, 16050, 568, 3743, 585, 909, 547, 513, 3791, 540, 873, 563, 2791, 2461, 476, 1321, 2053, 811, 2693, 547, 723, 606, 14159, 513, 20294, 31729, 332, 952, 513, 1101, 24266, 3448, 814, 1185, 835, 563, 20681, 6258, 811, 827, 4937, 11233, 966, 6018, 7896, 1934, 269, 0, 1103, 25691, 568, 513, 3339, 3210, 540, 519, 1560, 779, 20237, 543, 7816, 3294, 269, 1809, 267, 5312, 6553, 1223, 2014, 513, 3099, 540, 1072, 2152, 3226, 538, 4587, 2367, 269, 901, 2376, 649, 3580, 1413, 693, 2081, 547, 2569, 6553, 6197, 543, 2732, 2242, 786, 3648, 2087, 519, 2949, 1072, 540, 2367, 945, 616, 4587, 563, 1103, 25691, 568, 519, 1560, 779, 1505, 540, 8165, 5945, 267, 3968, 543, 6757, 6878, 269, 2755, 519, 8650, 6553, 568, 513, 10151, 543, 1898, 3210, 267, 1279, 3856, 6553, 666, 2014, 2800, 563, 763, 1764, 540, 6553, 593, 519, 1184, 540, 10172, 454, 32247, 6553, 568, 4749, 1644, 547, 10172, 267, 543, 666, 2014, 3384, 2085, 5829, 10108, 971, 607, 2295, 2068, 267, 543, 3987, 563, 763, 2956, 540, 2732, 454, 291, 2884, 4249, 606, 1271, 1909, 538, 9013, 6553, 269, 15742, 3536, 666, 2014, 610, 24390, 6553, 563, 12901, 328, 13611, 1426, 3688, 454, 25147, 513, 2039, 540, 4550, 13611, 3536, 883, 707, 2732, 267, 1519, 519, 9761, 3165, 267, 15708, 267, 21364, 16719, 267, 10808, 267, 543, 14462, 3282, 563, 288, 31844, 3536, 602, 9594, 6553, 454, 289, 1168, 732, 540, 9268, 1426, 267, 10425, 609, 4006, 543, 519, 7050, 4616, 540, 2699, 5779, 607, 789, 666, 2014, 6553, 563, 763, 2956, 540, 20697, 454, 18455, 1134, 31622, 3603, 568, 4105, 538, 4227, 6553, 269, 6875, 7899, 540, 12862, 782, 1554, 1279, 563, 299, 604, 5598, 15448, 538, 6197, 454, 26589, 2515, 6197, 543, 2732, 267, 824, 2188, 1764, 6553, 269, 2913, 779, 2263, 930, 1883, 3344, 563, 19894, 3635, 666, 2539, 6553, 2157, 269, 8347, 547, 798, 693, 2547, 476, 5611, 3764, 540, 9793, 27233, 15904, 1169, 3018, 563, 10048, 1771, 540, 2566, 454, 29590, 2157, 602, 616, 1164, 666, 9594, 6553, 269, 8347, 2566, 3146, 706, 1424, 2553, 971, 607, 10649, 267, 9066, 607, 1134, 607, 2620, 7244, 3635, 563, 28036, 1134, 543, 1205, 513, 1434, 3781, 779, 3207, 563, 26660, 267, 5812, 12008, 568, 4105, 547, 2569, 6553, 269, 1411, 1058, 2832, 585, 5722, 547, 4557, 3108, 540, 1964, 995, 12008, 1142, 3781, 563, 10712, 3183, 543, 6553, 454, 10712, 3183, 568, 835, 540, 519, 2101, 3123, 547, 6553, 269, 17547, 4771, 7296, 13189, 666, 13497, 2539, 6553, 2157, 543, 5818, 2949, 9716, 563, 763, 4276, 1063, 8937, 1072, 543, 8937, 454, 763, 8937, 4249, 513, 2629, 851, 538, 4929, 6553, 269, 1133, 29446, 8937, 22435, 949, 2014, 606, 2333, 538, 6553, 563, 18204, 7992, 22763, 883, 707, 3232, 2732, 267, 899, 18506, 543, 25496, 3536, 786, 948, 547, 3895, 513, 2635, 9667, 1062, 563, 15933, 338, 3638, 538, 6775, 454, 15933, 338, 602, 616, 3638, 538, 6775, 267, 899, 2898, 9274, 543, 22053, 5351, 538, 8937, 1072, 543, 6175, 6553, 563, 24965, 1027, 6553, 676, 14577, 707, 2732, 543, 6197, 568, 1898, 547, 519, 1072, 540, 2367, 945, 616, 4587, 269, 26451, 4550, 13611, 3536, 883, 707, 2732, 267, 4227, 2566, 267, 543, 2713, 519, 1318, 6197, 666, 948, 8396, 5312, 6553, 543, 2539, 519, 4960, 540, 3384, 2085, 5829, 10108, 563, 268, 1772, 5312, 6553, 513, 1966, 286, 1656, 875, 1281, 621, 1860, 20650, 888, 32247, 6553, 568, 606, 5571, 5312, 6553, 267, 799, 568, 1970, 7400, 543, 666, 2014, 513, 2039, 540, 1072, 2042, 267, 3226, 1851, 4587, 4079, 269, 898, 779, 5739, 2094, 621, 568, 5532, 609, 519, 1646, 540, 2085, 5829, 10108, 563, 268, 1215, 1281, 2732, 1860, 6553, 888, 291, 2884, 4249, 513, 2629, 1909, 538, 4227, 6553, 269, 589, 2732, 3638, 538, 4550, 13611, 3536, 607, 1134, 607, 17712, 8724, 689, 3536, 602, 9594, 6553, 666, 948, 24390, 6553, 563, 268, 1548, 1909, 666, 3635, 723, 538, 519, 5786, 540, 6553, 888, 19894, 3635, 666, 2539, 6553, 2157, 543, 2087, 2949, 1134, 5630, 543, 1072, 269, 898, 568, 5227, 602, 596, 4497, 693, 2547, 476, 5611, 3764, 540, 9793, 8515, 15904, 1169, 3018, 563, 268, 1548, 568, 519, 2956, 540, 8937, 1072, 547, 4383, 6553, 888, 294, 583, 22435, 666, 581, 4448, 547, 6553, 269, 589, 1134, 28394, 2331, 8937, 22435, 1223, 2539, 6553, 269, 30459, 22763, 607, 1134, 607, 6775, 11656, 3536, 786, 948, 547, 3035, 713, 3666, 563, 268, 1548, 616, 519, 2656, 652, 3268, 594, 666, 1118, 547, 24390, 6553, 676, 14577, 1250, 519, 2732, 543, 6197, 888, 24375, 676, 6220, 811, 4550, 13611, 1426, 3688, 267, 4227, 2566, 267, 4180, 596, 1205, 2614, 3207, 267, 543, 9319, 7296, 269, 1452, 3527, 1223, 3648, 1764, 519, 5786, 540, 6553, 538, 2367, 945, 616, 4587, 269, 0, 14240, 540, 7046, 9590, 19209, 454, 15411, 9590, 7591, 3033, 568, 606, 2228, 3760, 2919, 676, 7046, 9590, 602, 2488, 3755, 609, 513, 5691, 1604, 547, 4603, 267, 2170, 267, 543, 2263, 519, 7207, 540, 3642, 3631, 269, 898, 779, 513, 3896, 602, 13071, 596, 2119, 856, 1114, 3642, 14617, 2934, 543, 1294, 875, 789, 960, 269, 898, 2488, 513, 3593, 7888, 8818, 585, 4152, 543, 3695, 519, 7207, 540, 824, 3642, 3631, 267, 1519, 1893, 3631, 899, 31744, 268, 274, 563, 1432, 568, 14464, 11106, 888, 9590, 267, 610, 14464, 11106, 267, 4016, 547, 3384, 2780, 1949, 602, 666, 1685, 4247, 602, 3335, 2154, 1480, 4987, 269, 898, 3322, 2870, 3292, 602, 666, 1589, 267, 1451, 267, 543, 1118, 3664, 593, 741, 1378, 269, 3642, 2636, 5904, 547, 1174, 267, 5659, 267, 543, 4431, 547, 1344, 538, 2081, 2147, 547, 875, 3425, 798, 269, 3642, 6087, 873, 547, 1685, 1950, 4247, 899, 9301, 2592, 267, 1620, 2067, 1893, 267, 543, 1256, 4730, 3756, 563, 1103, 12863, 2474, 267, 3642, 6663, 547, 1118, 5904, 5100, 2614, 547, 1685, 4247, 602, 1131, 2356, 2154, 1480, 4987, 269, 1677, 1451, 811, 827, 3642, 4945, 1934, 563, 1432, 568, 606, 1930, 513, 328, 19209, 888, 15411, 9590, 7591, 3033, 568, 899, 513, 5691, 19209, 1141, 596, 666, 1404, 543, 4603, 609, 3642, 3631, 269, 898, 2488, 513, 3593, 7888, 8818, 1141, 2043, 666, 3403, 1257, 12987, 543, 7747, 519, 2203, 779, 6114, 538, 1483, 942, 269, 634, 7046, 9590, 7591, 3033, 3091, 513, 2230, 585, 3408, 267, 1565, 267, 543, 3860, 946, 540, 3642, 4066, 563, 763, 7046, 3642, 7591, 3033, 568, 2966, 585, 9367, 267, 3173, 267, 543, 4896, 5461, 538, 3695, 3642, 269, 898, 779, 513, 2922, 543, 6417, 1604, 1141, 596, 666, 1451, 543, 1449, 1114, 3642, 2553, 563, 14454, 267, 7046, 9590, 7591, 3033, 5713, 607, 513, 3407, 1907, 585, 4896, 5461, 538, 3695, 519, 1379, 543, 7399, 540, 3642, 267, 5356, 513, 3760, 547, 4497, 609, 3642, 3631, 543, 15052, 741, 1620, 540, 3642, 4066, 563, 5825, 720, 2986, 7046, 3642, 7591, 3033, 454, 15411, 9590, 7591, 3033, 568, 513, 1907, 602, 1004, 666, 946, 547, 798, 1114, 1919, 269, 3371, 616, 930, 1806, 912, 268, 4804, 543, 8347, 532, 4934, 281, 7046, 9590, 7591, 3033, 2337, 1004, 1451, 827, 3642, 269, 1411, 666, 1826, 2055, 610, 12987, 543, 1294, 875, 519, 3642, 2203, 20781, 269, 898, 779, 899, 513, 1187, 4603, 1141, 596, 666, 1294, 875, 3642, 1568, 543, 1018, 621, 666, 798, 563, 268, 29892, 609, 9293, 281, 898, 568, 3730, 585, 1620, 875, 5904, 1174, 543, 5352, 1480, 6438, 1257, 269, 1411, 666, 1449, 621, 676, 17511, 538, 5220, 543, 7487, 875, 519, 3642, 2203, 12958, 6114, 269, 898, 779, 899, 2348, 513, 6643, 609, 513, 5100, 2780, 563, 268, 15775, 14313, 543, 12861, 12474, 281, 898, 666, 948, 596, 2097, 909, 609, 2093, 269, 1411, 666, 2285, 621, 513, 1888, 610, 513, 4161, 267, 543, 519, 3642, 2203, 786, 1683, 6114, 602, 666, 8300, 596, 269, 898, 779, 1390, 585, 5830, 610, 1543, 15888, 945, 991, 930, 3860, 31168, 563, 268, 13281, 7756, 3642, 17738, 281, 7046, 9590, 7591, 3033, 13071, 596, 5635, 1114, 3642, 3631, 269, 1411, 666, 2119, 1114, 12987, 543, 1294, 875, 1114, 3631, 4431, 269, 898, 779, 899, 513, 1259, 547, 1294, 799, 2203, 1568, 1732, 585, 513, 1808, 4305, 563, 268, 8058, 532, 5510, 3642, 281, 898, 568, 513, 1390, 1907, 585, 23405, 610, 14245, 269, 1411, 666, 946, 621, 547, 5352, 1483, 6066, 3642, 6114, 547, 2055, 610, 12987, 267, 799, 2306, 519, 6881, 811, 7317, 543, 3078, 563, 8855, 267, 7046, 9590, 7591, 3033, 568, 6140, 585, 1565, 543, 3695, 3642, 269, 1403, 596, 1616, 547, 946, 3642, 585, 1870, 610, 824, 3978, 5301, 267, 596, 1522, 991, 811, 4359, 2645, 543, 3435, 563, 15411, 3642, 7591, 3033, 568, 1863, 585, 946, 888, 8133, 267, 7046, 3642, 7591, 3033, 568, 1863, 585, 946, 563, 2414, 1451, 811, 596, 666, 4945, 1934, 563, 15411, 9590, 7591, 3033, 568, 513, 1360, 3532, 1907, 585, 1565, 543, 3695, 3642, 538, 513, 2241, 267, 3593, 7888, 1259, 563, 21918, 2787, 540, 7046, 3642, 7591, 3033, 454, 763, 1292, 7799, 2787, 540, 7046, 3642, 7591, 3033, 616, 607, 5205, 454, 268, 634, 6114, 6383, 676, 519, 3642, 949, 711, 581, 607, 3102, 610, 4977, 607, 1346, 689, 811, 4359, 3631, 563, 268, 7046, 9590, 7591, 3033, 2488, 3908, 3681, 585, 29356, 563, 268, 7046, 9590, 7591, 3033, 1281, 711, 1450, 3755, 547, 5721, 610, 5386, 2389, 2317, 519, 3642, 2203, 2933, 563, 268, 898, 3340, 513, 7123, 4950, 4276, 547, 1599, 5265, 563, 268, 898, 13333, 538, 606, 9678, 1604, 543, 949, 711, 723, 1569, 547, 1483, 6066, 1239, 610, 1808, 13865, 1344, 2139, 3544, 519, 3760, 269, 0, 1103, 519, 7706, 540, 7499, 4082, 267, 12372, 616, 1419, 9833, 607, 9380, 832, 269, 3807, 607, 513, 9380, 528, 28633, 543, 5546, 6151, 2326, 883, 25704, 267, 12372, 4865, 519, 2702, 547, 13861, 3280, 6329, 538, 1931, 547, 1711, 9159, 23964, 602, 18427, 1585, 4664, 1369, 741, 9458, 269, 901, 2376, 12538, 883, 519, 26274, 540, 513, 22459, 267, 3695, 519, 6946, 2553, 789, 2308, 547, 4739, 741, 7574, 15885, 563, 2414, 9414, 713, 1523, 267, 1577, 721, 2015, 519, 19858, 2013, 540, 14667, 267, 513, 16805, 32058, 626, 5275, 547, 17492, 513, 4062, 602, 20206, 12885, 1200, 2833, 609, 2470, 269, 6145, 513, 9380, 528, 19424, 532, 741, 5137, 1354, 669, 529, 9934, 2476, 693, 6149, 267, 14667, 5956, 676, 12497, 1944, 519, 2949, 2497, 543, 6249, 540, 1200, 5888, 269, 2701, 26195, 2888, 22107, 8172, 818, 701, 1375, 3930, 13147, 10107, 519, 9543, 2095, 540, 513, 3777, 17331, 2156, 758, 543, 20807, 532, 5634, 22334, 8204, 606, 31587, 7088, 269, 3414, 22111, 3007, 547, 1469, 543, 6297, 5542, 540, 11745, 625, 543, 6384, 267, 1352, 9380, 338, 1142, 4063, 883, 922, 1318, 995, 1747, 267, 13830, 519, 9759, 540, 1200, 4276, 609, 2470, 998, 1200, 2575, 563, 1607, 2376, 6663, 547, 2263, 875, 12372, 8415, 2147, 2409, 547, 9380, 741, 521, 4577, 13144, 269, 1635, 6313, 519, 2609, 540, 23260, 267, 10103, 267, 11733, 267, 543, 31627, 267, 649, 786, 5490, 883, 519, 14960, 3297, 21882, 2575, 602, 24889, 7184, 609, 19700, 685, 12271, 543, 20339, 563, 27839, 1328, 568, 513, 4909, 3693, 538, 2575, 5888, 267, 1454, 899, 519, 9380, 528, 779, 5075, 585, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1892, 2999, 23026, 638, 1774, 7329, 6889, 320, 277, 9081, 257, 20565, 23026, 638, 1774, 11417, 1892, 2999, 1777, 7329, 6889, 320, 277, 9081, 257, 20565, 1777, 11417, 1892, 6754, 781, 6732, 11872, 454, 12709, 1315, 20145, 4083, 1315, 20368, 13011, 12307, 543, 21069, 18509, 7149, 1315, 9351, 609, 21069, 18509, 7149, 454, 17004, 4937, 18564, 8058, 16353, 18564, 8058, 2353, 11872, 1109, 295, 728, 2353, 11872, 454, 14197, 18564, 692, 296, 23294, 1125, 585, 519, 856, 720, 593, 519, 3135, 19108, 543, 2221, 269, 19681, 541, 2160, 568, 538, 2142, 320, 636, 2632, 7147, 543, 23587, 23718, 3357, 998, 1934, 543, 3361, 513, 5618, 1379, 856, 720, 693, 19681, 541, 269, 12085, 1058, 581, 909, 543, 4881, 693, 713, 1448, 543, 630, 327, 2100, 2685, 264, 786, 3251, 602, 1259, 267, 693, 2547, 2394, 519, 1985, 19996, 2501, 998, 1934, 799, 4667, 547, 4755, 827, 2899, 1169, 476, 1015, 268, 1428, 1296, 269, 8074, 602, 594, 9327, 1405, 581, 1932, 647, 1440, 2213, 952, 972, 616, 5618, 856, 1137, 936, 519, 1985, 7008, 540, 2395, 607, 789, 960, 547, 1205, 3388, 1394, 909, 543, 4881, 5265, 269, 594, 23294, 1125, 585, 519, 21016, 341, 1329, 775, 780, 26469, 454, 20606, 476, 2767, 267, 476, 1708, 271, 692, 300, 9394, 18564, 454, 2791, 2408, 547, 581, 593, 513, 3926, 609, 513, 834, 333, 5535, 257, 5496, 8700, 630, 328, 4318, 269, 596, 616, 4440, 593, 513, 5985, 6049, 1040, 9603, 547, 519, 2470, 540, 519, 6128, 593, 713, 3135, 621, 568, 1655, 5784, 538, 5251, 7154, 269, 1403, 707, 3926, 568, 711, 538, 5251, 7154, 1082, 540, 519, 4834, 786, 2196, 1055, 519, 2427, 540, 707, 3926, 630, 29019, 581, 2111, 547, 20801, 547, 1294, 873, 264, 543, 930, 540, 519, 10624, 3688, 786, 581, 2759, 1055, 1813, 547, 519, 7522, 5496, 8700, 780, 2162, 8791, 476, 274, 268, 279, 2433, 9351, 609, 21069, 18509, 7149, 692, 1103, 713, 3296, 649, 616, 2469, 547, 1413, 693, 2127, 20583, 676, 8701, 14258, 269, 8074, 607, 1134, 602, 649, 1767, 968, 523, 743, 2216, 676, 892, 3079, 540, 968, 8974, 892, 607, 649, 3335, 723, 538, 891, 2042, 269, 1452, 2042, 960, 513, 2370, 8335, 538, 8701, 10974, 269, 3371, 568, 513, 17250, 540, 1018, 519, 1858, 602, 649, 3580, 581, 4466, 538, 713, 3296, 5654, 899, 780, 2171, 3580, 581, 3168, 585, 519, 26484, 1858, 538, 519, 17250, 1657, 269, 634, 4542, 585, 4466, 713, 1858, 568, 10484, 259, 288, 815, 1422, 842, 3709, 3189, 12101, 10401, 31998, 3867, 3189, 12101, 15883, 7684, 2410, 3189, 2765, 346, 272, 2410, 273, 2410, 337, 317, 273, 4153, 267, 323, 24592, 31998, 6911, 30860, 602, 649, 946, 3230, 337, 2330, 538, 519, 7533, 3079, 540, 3230, 325, 13375, 263, 1422, 9064, 1422, 2431, 14638, 865, 1118, 2386, 543, 12990, 9935, 950, 3257, 519, 7533, 780, 4131, 779, 1491, 513, 1413, 693, 606, 1383, 780, 7078, 476, 272, 14419, 519, 1858, 540, 519, 6418, 8520, 540, 3230, 337, 815, 476, 273, 1341, 476, 275, 315, 6523, 1422, 9064, 2330, 563, 17004, 8827, 692, 2171, 1178, 335, 1117, 713, 1599, 1394, 950, 649, 1101, 3323, 3168, 693, 8701, 10974, 269, 1280, 713, 1966, 649, 3580, 849, 991, 547, 917, 519, 2418, 540, 6695, 9064, 2330, 1141, 519, 7455, 4422, 998, 519, 5169, 269, 1284, 666, 1205, 891, 676, 4259, 519, 3830, 3160, 547, 4642, 543, 6061, 780, 17961, 9387, 15857, 271, 1299, 815, 476, 273, 1341, 476, 275, 315, 6523, 1422, 9064, 8607, 1422, 6523, 1422, 9064, 1299, 815, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 24264, 346, 271, 269, 276, 514, 348, 1422, 23976, 1422, 24264, 346, 271, 269, 276, 514, 4153, 9064, 815, 1422, 2765, 13997, 273, 19570, 7684, 2410, 274, 9574, 315, 2765, 13997, 275, 19570, 7684, 2410, 274, 4153, 754, 9387, 265, 10926, 2080, 568, 519, 17250, 540, 713, 7455, 609, 519, 6418, 8520, 26484, 538, 780, 4692, 596, 1294, 1946, 649, 2877, 547, 917, 519, 2418, 540, 6695, 9064, 2330, 1141, 519, 7455, 4422, 998, 519, 5169, 286, 1452, 2798, 5581, 1141, 519, 6418, 8520, 6238, 543, 7475, 543, 8754, 616, 849, 519, 7182, 540, 5610, 538, 519, 4542, 780, 3383, 267, 519, 1858, 568, 1287, 10484, 17961, 9387, 15857, 288, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 273, 19570, 7684, 2410, 274, 3686, 8703, 3189, 12101, 2765, 13997, 275, 19570, 7684, 2410, 274, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 2410, 3189, 3847, 263, 2715, 273, 1341, 476, 275, 315, 6523, 1422, 9064, 7684, 1422, 2431, 264, 11892, 273, 4153, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 273, 19570, 7684, 2410, 274, 3686, 8703, 3189, 12101, 2765, 13997, 275, 19570, 7684, 2410, 274, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 275, 1341, 476, 1626, 315, 6523, 1422, 9064, 1341, 476, 1626, 346, 3189, 6523, 7684, 317, 273, 4153, 9064, 7684, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 273, 19570, 7684, 2410, 274, 3686, 8703, 3189, 12101, 2765, 13997, 275, 19570, 7684, 2410, 274, 3686, 2410, 346, 273, 1341, 476, 279, 315, 6523, 1422, 9064, 1341, 476, 275, 13375, 263, 2715, 272, 1341, 1422, 6523, 1422, 3847, 263, 2715, 273, 24592, 7684, 1422, 2431, 14587, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 273, 19570, 7684, 2410, 274, 3686, 8703, 3189, 12101, 2765, 13997, 275, 19570, 7684, 2410, 274, 3686, 2410, 346, 277, 1341, 476, 279, 315, 6523, 1422, 9064, 1341, 476, 275, 315, 6523, 1422, 3847, 263, 2715, 273, 24592, 7684, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 3847, 269, 11513, 3847, 263, 2715, 277, 24592, 1341, 476, 279, 315, 7562, 1422, 9064, 1341, 476, 273, 315, 7562, 1422, 3847, 263, 2715, 273, 24592, 7684, 1422, 2431, 14587, 1422, 2431, 14587, 1422, 2431, 347, 18155, 2765, 13997, 273, 19570, 7684, 2410, 274, 3686, 17353, 2765, 13997, 275, 19570, 7684, 2410, 274, 3686, 11138, 1299, 815, 476, 275, 19570, 910, 476, 277, 25490, 476, 274, 815, 476, 273, 269, 14690, 17910, 9387, 265, 10926, 2791, 1705, 1246, 519, 960, 2944, 538, 713, 7533, 4769, 1406, 596, 286, 1411, 3580, 2196, 883, 3833, 513, 1906, 29398, 540, 4645, 3252, 538, 713, 3296, 865, 952, 596, 991, 547, 596, 1058, 979, 1394, 547, 519, 6715, 23552, 12833, 6295, 17832, 12793, 6810, 543, 798, 513, 2656, 2689, 780, 3383, 267, 602, 779, 875, 649, 3313, 2127, 602, 616, 20583, 676, 513, 2582, 7455, 267, 855, 1018, 827, 3871, 899, 519, 1739, 17250, 1141, 649, 1616, 547, 1265, 519, 1858, 1063, 1079, 14258, 780, 1103, 713, 2013, 649, 666, 946, 519, 1657, 4542, 547, 1265, 519, 1858, 20583, 676, 1312, 543, 1287, 519, 4890, 1858, 568, 519, 3017, 1063, 519, 1079, 269, 634, 4542, 585, 713, 568, 10484, 259, 288, 815, 1422, 842, 3709, 3189, 12101, 10401, 31998, 3867, 3189, 12101, 15883, 7684, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 337, 318, 334, 317, 273, 910, 678, 10983, 317, 273, 348, 1422, 2431, 9385, 267, 323, 24592, 31998, 6911, 4131, 779, 1491, 513, 1413, 693, 606, 1383, 540, 713, 780, 7078, 476, 273, 14419, 519, 1858, 602, 6013, 3330, 3230, 337, 815, 476, 274, 1341, 476, 273, 315, 7562, 1422, 9064, 2330, 543, 3544, 3230, 337, 815, 476, 273, 2330, 563, 17004, 8827, 692, 2080, 568, 513, 17250, 540, 519, 3148, 602, 649, 616, 1310, 780, 2414, 3313, 713, 1858, 267, 649, 3580, 991, 547, 917, 519, 2418, 540, 6695, 9064, 2330, 585, 799, 519, 1079, 14258, 12969, 269, 1284, 666, 3313, 891, 2798, 676, 4259, 519, 1079, 4834, 543, 6061, 780, 17961, 9387, 15857, 274, 1341, 476, 273, 315, 7562, 1422, 9064, 1299, 815, 476, 273, 11138, 1422, 7562, 1422, 9064, 1299, 815, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 24264, 346, 271, 269, 276, 514, 348, 1422, 23976, 1422, 24264, 346, 271, 269, 276, 514, 4153, 9064, 815, 1422, 2765, 13997, 278, 19570, 7684, 2410, 277, 9574, 315, 2765, 13997, 1556, 19570, 7684, 2410, 277, 4153, 754, 9387, 265, 10926, 2080, 568, 513, 17250, 540, 519, 4137, 609, 891, 7285, 3773, 780, 9616, 607, 1134, 1934, 602, 649, 849, 17019, 602, 1776, 6041, 585, 519, 5086, 6695, 2765, 13997, 1556, 19570, 7684, 2410, 277, 6525, 568, 3230, 268, 1422, 2765, 3189, 7032, 25452, 277, 6525, 269, 901, 568, 1271, 585, 713, 1966, 269, 769, 1931, 547, 946, 519, 4542, 1657, 519, 1858, 1590, 581, 20583, 607, 649, 2333, 689, 519, 4130, 547, 3677, 5086, 269, 1924, 267, 952, 649, 946, 6695, 2765, 13997, 278, 19570, 7684, 2410, 277, 6525, 547, 6695, 2765, 13997, 1556, 19570, 7684, 2410, 277, 6525, 649, 786, 711, 11700, 846, 519, 26484, 1858, 267, 3079, 649, 786, 11700, 846, 519, 5377, 1034, 540, 519, 1614, 4525, 269, 1717, 267, 952, 649, 946, 519, 7285, 3230, 268, 1422, 2765, 3189, 7032, 25452, 277, 6525, 547, 6695, 2765, 13997, 278, 19570, 7684, 2410, 277, 6525, 649, 786, 11700, 846, 519, 1858, 602, 649, 2461, 1310, 780, 3383, 267, 519, 1858, 568, 1287, 10484, 17961, 9387, 15857, 288, 1299, 815, 1422, 842, 3709, 3189, 267, 910, 1422, 2765, 3189, 7032, 25452, 277, 3686, 8703, 3189, 12101, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 346, 3189, 3847, 263, 2715, 274, 1341, 476, 273, 315, 7562, 1422, 9064, 7684, 1422, 2431, 264, 11892, 273, 348, 910, 2715, 3189, 3847, 263, 476, 273, 1422, 2431, 264, 11892, 273, 3686, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 267, 910, 1422, 2765, 3189, 7032, 25452, 277, 3686, 8703, 3189, 12101, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 276, 1341, 476, 1321, 315, 7562, 1422, 9064, 1341, 476, 275, 346, 3189, 7562, 7684, 317, 273, 4153, 9064, 7684, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 267, 910, 1422, 2765, 3189, 7032, 25452, 277, 3686, 8703, 3189, 12101, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 278, 1341, 476, 1321, 315, 7562, 1422, 9064, 910, 476, 273, 315, 6523, 1422, 3847, 263, 2715, 273, 24592, 7684, 1422, 2431, 14587, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 3847, 269, 11513, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 278, 24592, 910, 476, 1321, 315, 6523, 1422, 9064, 910, 1422, 7562, 1422, 3847, 263, 2715, 273, 24592, 7684, 1422, 2431, 14587, 1422, 2431, 14587, 1422, 2431, 347, 3709, 910, 1422, 2765, 3189, 7032, 25452, 277, 3686, 17353, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 11138, 1299, 815, 1422, 2765, 13997, 1556, 25490, 476, 274, 7684, 2410, 273, 348, 1341, 1422, 2765, 13997, 1691, 19570, 7684, 2410, 274, 348, 815, 476, 2190, 269, 6942, 17910, 9387, 265, 10926, 4131, 779, 960, 513, 13581, 14842, 540, 519, 3105, 1383, 780, 7078, 476, 274, 14419, 519, 1858, 540, 519, 3148, 3544, 3230, 337, 815, 476, 274, 1341, 476, 273, 315, 7562, 1422, 9064, 2330, 543, 3330, 3230, 337, 815, 476, 273, 2330, 563, 17004, 8827, 692, 1607, 942, 649, 2461, 3168, 585, 519, 1739, 3148, 780, 3383, 267, 713, 568, 519, 3148, 602, 649, 1205, 676, 1210, 519, 7182, 6695, 2765, 13997, 278, 19570, 7684, 2410, 277, 6525, 547, 6695, 2765, 13997, 1556, 19570, 7684, 2410, 277, 6525, 269, 634, 1858, 585, 713, 3148, 568, 10484, 17961, 9387, 15857, 288, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 8703, 3189, 12101, 2765, 13997, 1556, 19570, 7684, 2410, 277, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 346, 3189, 3847, 263, 476, 273, 1422, 2431, 264, 11892, 273, 348, 910, 2715, 3189, 3847, 263, 2715, 274, 1341, 476, 273, 315, 7562, 1422, 9064, 7684, 1422, 2431, 264, 11892, 273, 3686, 1422, 2431, 9385, 267, 323, 24592, 31998, 11138, 1299, 815, 1422, 842, 3709, 3189, 12101, 2765, 13997, 278, 19570, 7684, 2410, 277, 3686, 8703, 3189, 12101, 2765, 13997, 1556, 19570, 7684, 2410, 277, 3686, 2410, 3189, 2765, 346, 272, 2410, 273, 4153, 3847, 263, 2715, 910, 476, 276, 910, 476, 1321, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 849, 1634, 607, 7827, 762, 1912, 864, 20377, 267, 1813, 547, 922, 2189, 2702, 547, 12189, 519, 2681, 540, 922, 24968, 2439, 3080, 1554, 267, 1247, 4730, 1472, 1200, 14552, 543, 19946, 267, 7827, 762, 1912, 864, 20377, 4280, 267, 834, 32091, 590, 720, 20815, 267, 670, 8354, 18771, 731, 267, 543, 25016, 342, 677, 267, 594, 917, 594, 993, 2027, 267, 855, 993, 594, 519, 1034, 1455, 2030, 538, 938, 1920, 1934, 538, 645, 24652, 4993, 8119, 589, 9543, 30089, 15309, 1194, 741, 3762, 1354, 4896, 12943, 780, 306, 720, 20815, 14452, 28663, 267, 834, 11039, 267, 1250, 15210, 11078, 267, 1373, 7839, 1281, 711, 8209, 1611, 1373, 519, 1034, 10731, 269, 1284, 5660, 2348, 596, 1934, 1851, 721, 267, 28480, 707, 7524, 4778, 538, 7733, 267, 803, 27595, 267, 543, 24301, 3010, 2026, 2395, 5293, 267, 2262, 3893, 856, 827, 7827, 762, 1912, 864, 20377, 781, 2243, 269, 17652, 267, 824, 2818, 540, 1585, 2030, 3885, 8678, 519, 4901, 1107, 6129, 25154, 267, 667, 9820, 625, 267, 543, 1082, 811, 269, 1358, 3838, 875, 1142, 4759, 8309, 8335, 547, 4509, 3666, 538, 2470, 269, 2368, 1683, 1426, 585, 2831, 282, 1866, 1711, 9249, 610, 948, 2087, 3037, 2298, 269, 3962, 2030, 4249, 513, 1909, 267, 7488, 540, 678, 10846, 610, 11606, 780, 1103, 519, 1439, 267, 1310, 6947, 32348, 547, 3025, 781, 2984, 267, 7827, 762, 1912, 864, 20377, 7691, 1945, 27314, 269, 4634, 1498, 1352, 1522, 711, 581, 519, 1034, 1455, 536, 4392, 1920, 2030, 538, 645, 24652, 4993, 267, 1169, 1747, 1352, 8057, 2968, 811, 17134, 656, 5944, 3309, 1317, 540, 1200, 4527, 269, 1656, 3006, 267, 1818, 513, 3017, 538, 6397, 2081, 6927, 2484, 811, 982, 3274, 1373, 1455, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 4942, 864, 20377, 4573, 8494, 529, 568, 513, 2249, 540, 15496, 2030, 538, 519, 536, 4392, 1920, 1634, 676, 519, 1455, 2012, 1689, 762, 943, 864, 20377, 269, 898, 568, 5065, 547, 519, 7262, 2136, 2276, 543, 645, 24652, 4993, 267, 1141, 621, 666, 581, 1336, 538, 10239, 543, 9087, 1054, 1571, 267, 538, 4104, 539, 543, 1930, 7226, 2010, 267, 543, 24301, 780, 17780, 593, 519, 5037, 1657, 666, 649, 9959, 602, 834, 4219, 762, 943, 864, 20377, 568, 519, 1034, 1455, 536, 4392, 1920, 2030, 538, 645, 24652, 4993, 257, 888, 302, 10798, 267, 865, 4952, 596, 723, 513, 2462, 1920, 2407, 540, 2371, 1572, 519, 834, 4011, 720, 1920, 1701, 2290, 540, 519, 2371, 538, 713, 1920, 568, 1572, 834, 4219, 762, 943, 864, 20377, 1701, 898, 814, 7168, 5810, 543, 568, 1336, 538, 4025, 899, 519, 7262, 2136, 2276, 543, 645, 24652, 4993, 267, 799, 568, 513, 851, 540, 6792, 269, 898, 15055, 1114, 5686, 540, 5321, 267, 899, 7733, 267, 1930, 5624, 267, 543, 1256, 24301, 780, 3086, 267, 519, 5037, 3085, 1405, 2161, 952, 519, 1689, 762, 943, 864, 20377, 568, 519, 1034, 1455, 2030, 538, 519, 536, 4392, 1920, 538, 645, 24652, 4993, 610, 711, 269, 898, 1175, 6645, 721, 602, 621, 781, 1336, 972, 269, 1924, 267, 649, 666, 1405, 2731, 2161, 585, 2386, 602, 621, 781, 519, 1034, 1455, 835, 1775, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10807, 607, 535, 912, 825, 2450, 15461, 318, 1348, 815, 476, 5611, 454, 825, 535, 318, 935, 815, 535, 18667, 4433, 1125, 15461, 318, 1348, 994, 825, 1247, 7003, 6600, 318, 935, 264, 3436, 476, 271, 912, 1038, 1820, 6600, 318, 935, 267, 1439, 8782, 5073, 1038, 535, 318, 935, 815, 535, 18667, 4433, 1125, 15461, 318, 1348, 994, 825, 1820, 3488, 21653, 7475, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1510, 1022, 862, 27458, 610, 13816, 4288, 540, 6219, 267, 2705, 269, 3509, 267, 1082, 3817, 941, 2854, 676, 27869, 547, 12172, 1010, 2990, 936, 1996, 602, 540, 7507, 543, 936, 1996, 602, 540, 519, 13162, 753, 563, 3719, 519, 2040, 540, 782, 891, 3646, 593, 519, 851, 540, 27869, 729, 547, 3715, 519, 9322, 540, 519, 5783, 267, 2436, 646, 5206, 513, 524, 622, 577, 1143, 607, 968, 320, 6079, 547, 1832, 519, 1434, 10286, 689, 12955, 856, 5608, 610, 2436, 646, 5645, 593, 513, 11722, 566, 609, 4639, 13921, 610, 670, 21983, 639, 3780, 269, 634, 1521, 2478, 593, 519, 2672, 3899, 968, 26200, 782, 22393, 2854, 538, 519, 20089, 547, 4894, 3765, 24483, 543, 547, 12115, 15523, 1063, 932, 11699, 892, 630, 4504, 549, 1421, 2473, 18958, 2862, 1916, 763, 3791, 4320, 267, 769, 16470, 540, 519, 1234, 11526, 18321, 267, 3568, 27869, 779, 16190, 543, 11579, 7992, 1201, 16615, 540, 519, 968, 8002, 338, 540, 519, 7027, 540, 570, 1370, 892, 543, 1010, 18349, 540, 519, 968, 11328, 574, 16672, 540, 15215, 5608, 23032, 676, 519, 14890, 269, 1677, 713, 646, 3773, 968, 763, 6936, 6396, 540, 29179, 13458, 547, 2441, 754, 558, 543, 540, 1234, 14127, 519, 5783, 6100, 27869, 15653, 519, 7027, 779, 7664, 540, 519, 31713, 2798, 543, 9738, 519, 29686, 540, 519, 6478, 540, 2696, 267, 24134, 676, 5132, 4805, 630, 10472, 1185, 1044, 3765, 2151, 341, 3585, 14648, 676, 519, 14466, 1235, 547, 1611, 602, 519, 957, 540, 5132, 17990, 1510, 519, 11419, 610, 2696, 264, 1510, 519, 1568, 540, 519, 1876, 282, 519, 2189, 543, 11389, 701, 531, 762, 15093, 540, 2441, 585, 5609, 267, 799, 666, 711, 581, 29979, 676, 1022, 32660, 540, 812, 282, 519, 14985, 540, 2441, 607, 519, 2212, 540, 519, 5783, 267, 799, 568, 1500, 909, 540, 21071, 543, 741, 6079, 269, 27869, 849, 15091, 519, 18301, 1222, 540, 2441, 267, 519, 10841, 2105, 7083, 543, 10361, 540, 519, 5783, 267, 945, 5107, 676, 1010, 6478, 543, 13336, 936, 1010, 1004, 267, 543, 676, 1010, 19988, 1379, 936, 782, 519, 6082, 540, 519, 3618, 2394, 1010, 2132, 538, 18710, 563, 7021, 1996, 519, 14207, 6069, 676, 519, 14890, 267, 27869, 4843, 1010, 3020, 1505, 540, 6963, 532, 519, 5939, 267, 12077, 267, 2132, 547, 543, 15984, 547, 3280, 14985, 269, 24641, 519, 14466, 1235, 968, 12047, 663, 689, 721, 606, 1930, 7755, 4851, 540, 3020, 14985, 5608, 1767, 27869, 267, 891, 31390, 13294, 540, 519, 3955, 574, 968, 548, 1511, 721, 513, 3368, 2441, 267, 855, 538, 971, 513, 6073, 602, 972, 568, 1100, 851, 540, 1010, 14985, 799, 789, 798, 711, 21372, 610, 14850, 335, 2660, 609, 930, 2186, 540, 7301, 3125, 892, 630, 8633, 2073, 533, 269, 476, 25240, 1040, 968, 2662, 7241, 949, 4755, 267, 1577, 621, 581, 938, 759, 5193, 8990, 547, 6432, 547, 1100, 2474, 540, 4708, 267, 799, 544, 17532, 519, 4453, 906, 540, 2367, 609, 519, 6986, 5168, 540, 2696, 269, 2913, 621, 267, 594, 2161, 267, 581, 938, 6378, 6240, 602, 519, 5639, 540, 519, 2701, 23311, 4805, 568, 547, 581, 4862, 267, 602, 540, 21046, 9856, 539, 1996, 543, 15653, 892, 630, 7656, 267, 533, 269, 476, 26237, 1916, 24127, 1614, 849, 3568, 1079, 5022, 267, 2854, 547, 5449, 2828, 540, 27869, 267, 9963, 873, 1996, 519, 5609, 540, 17528, 547, 21334, 2441, 16175, 269, 1452, 2408, 896, 519, 2140, 267, 968, 4002, 1744, 7342, 519, 1133, 32016, 681, 2572, 540, 519, 772, 978, 617, 569, 543, 3465, 6326, 519, 8830, 640, 540, 519, 4168, 15215, 892, 630, 14631, 278, 1040, 7053, 267, 972, 1772, 5369, 641, 15967, 577, 807, 630, 476, 14631, 275, 1070, 27869, 779, 2034, 5339, 2504, 267, 799, 2705, 729, 711, 3370, 2394, 476, 15150, 273, 269, 769, 621, 27869, 1201, 2373, 519, 1323, 629, 2194, 2065, 646, 637, 344, 540, 519, 3207, 540, 519, 9997, 563, 1103, 519, 5449, 27869, 5418, 6758, 519, 2014, 540, 2441, 1510, 1022, 15280, 1145, 610, 538, 557, 21063, 267, 968, 810, 602, 1100, 835, 4927, 581, 2111, 547, 29153, 540, 1373, 10413, 267, 610, 1256, 5594, 1055, 2105, 892, 630, 7656, 267, 533, 269, 476, 31979, 1040, 1809, 1996, 1346, 945, 5418, 611, 519, 9322, 540, 519, 5783, 543, 519, 2924, 540, 4077, 640, 547, 3382, 741, 3668, 540, 10100, 27869, 30491, 281, 968, 933, 11760, 1100, 30767, 4849, 538, 2441, 282, 1100, 4077, 640, 540, 799, 1261, 568, 711, 519, 6125, 282, 543, 602, 267, 4061, 267, 519, 8783, 1448, 538, 8497, 4077, 640, 568, 547, 2226, 18321, 10723, 543, 3003, 269, 19627, 267, 602, 713, 4901, 949, 8399, 1510, 1022, 18670, 540, 17493, 267, 3177, 519, 10772, 609, 799, 789, 6432, 5330, 609, 519, 11469, 799, 594, 2308, 892, 630, 7629, 267, 533, 269, 476, 275, 1626, 1040, 634, 2063, 3948, 19595, 835, 540, 519, 6297, 11984, 1500, 676, 27869, 538, 519, 23941, 1063, 4758, 543, 2921, 25213, 630, 7656, 267, 476, 866, 267, 476, 1556, 1040, 1280, 27869, 2479, 9738, 602, 968, 928, 10354, 11645, 1590, 711, 581, 31360, 998, 4250, 540, 1022, 1055, 775, 892, 543, 267, 968, 553, 938, 15698, 1058, 581, 1641, 547, 17493, 267, 865, 17493, 3294, 11129, 547, 581, 7449, 969, 1304, 547, 519, 19454, 540, 5132, 892, 630, 296, 321, 573, 28593, 20329, 641, 15967, 577, 807, 568, 513, 17576, 540, 13400, 608, 1122, 8412, 543, 26350, 556, 268, 2745, 532, 543, 3892, 607, 513, 1395, 1748, 585, 519, 6044, 540, 519, 5783, 2221, 267, 2094, 519, 8614, 327, 990, 1695, 779, 654, 5893, 525, 543, 519, 1530, 22770, 4303, 13491, 1235, 616, 14700, 519, 1158, 609, 741, 829, 5371, 1190, 18259, 269, 27869, 10742, 782, 519, 7440, 2212, 6823, 267, 23542, 5109, 873, 835, 676, 835, 267, 609, 519, 18156, 540, 519, 13336, 269, 634, 3003, 30732, 2280, 568, 513, 3501, 17431, 540, 27869, 779, 24077, 5813, 883, 543, 1702, 540, 519, 14644, 999, 1256, 693, 713, 2038, 3942, 540, 1010, 4168, 1272, 269, 1261, 568, 849, 3833, 9488, 538, 8744, 782, 519, 5013, 547, 7703, 2390, 519, 2013, 693, 1688, 269, 27869, 729, 711, 835, 547, 581, 13854, 609, 513, 2816, 3368, 2944, 269, 1261, 729, 9488, 543, 1928, 560, 1136, 538, 782, 1010, 2978, 832, 267, 607, 713, 23294, 2045, 4062, 849, 1449, 5809, 563, 1103, 5758, 267, 519, 8313, 540, 891, 1614, 12531, 540, 27869, 779, 1568, 13054, 513, 2101, 9295, 547, 519, 1272, 540, 519, 5783, 540, 938, 1554, 269, 5556, 17894, 547, 661, 518, 323, 332, 753, 256, 2913, 721, 1353, 891, 6054, 267, 521, 2948, 741, 6891, 267, 543, 4487, 741, 9115, 256, 2904, 2696, 2285, 721, 782, 811, 540, 519, 3636, 543, 13730, 6891, 540, 3627, 27869, 267, 602, 267, 15962, 519, 5168, 267, 649, 949, 1796, 538, 519, 15698, 1141, 5976, 2441, 814, 1500, 721, 1863, 267, 5706, 532, 519, 2893, 23307, 4640, 540, 8236, 9322, 14263, 519, 5168, 563, 295, 2894, 23802, 681, 269, 966, 3198, 570, 6579, 454, 273, 269, 634, 22547, 543, 4886, 540, 27869, 1143, 454, 9773, 9109, 17341, 23549, 1107, 661, 518, 323, 332, 753, 454, 4198, 280, 269, 11581, 269, 3627, 5696, 3430, 454, 1607, 13801, 2370, 1686, 630, 15171, 3817, 1070, 2854, 676, 27869, 5441, 20485, 267, 6663, 547, 2285, 519, 4207, 2875, 606, 1620, 540, 543, 606, 7071, 585, 519, 3909, 543, 2686, 4644, 540, 27869, 1143, 607, 606, 3140, 7613, 269, 4515, 269, 5696, 3430, 267, 945, 568, 849, 9375, 267, 6799, 519, 1272, 543, 960, 540, 27869, 607, 1134, 607, 519, 1686, 543, 1646, 540, 27869, 1143, 538, 3013, 269, 8176, 16019, 3947, 513, 17250, 540, 519, 1686, 543, 3262, 540, 27869, 1143, 538, 16848, 267, 5125, 267, 543, 5333, 267, 1247, 23778, 853, 20891, 4546, 6767, 1281, 519, 1482, 609, 2463, 547, 4789, 543, 10430, 269, 7053, 267, 19124, 700, 4526, 28838, 6799, 519, 1686, 540, 27869, 1143, 538, 519, 13814, 269, 24157, 13132, 561, 790, 813, 2105, 693, 519, 1439, 540, 1142, 3184, 269, 634, 960, 568, 2653, 547, 14906, 543, 2306, 513, 13561, 4704, 585, 519, 2482, 2006, 282, 4061, 267, 594, 4363, 621, 2295, 1176, 547, 782, 540, 938, 7239, 543, 13039, 563, 4913, 267, 972, 568, 835, 19583, 602, 594, 1131, 2709, 1250, 9164, 538, 782, 21548, 543, 17493, 269, 634, 1433, 2703, 338, 711, 1106, 513, 9322, 540, 7664, 269, 2201, 519, 835, 1688, 269, 649, 1224, 267, 968, 763, 14271, 617, 540, 667, 677, 568, 513, 3090, 540, 519, 17636, 540, 31249, 27869, 1143, 538, 519, 13814, 892, 630, 335, 269, 476, 11025, 5148, 855, 267, 593, 519, 824, 1688, 267, 649, 1224, 602, 519, 2947, 2798, 540, 27869, 1143, 9095, 1767, 547, 581, 519, 1655, 14745, 540, 513, 4416, 2880, 7678, 676, 799, 968, 9773, 9109, 1143, 568, 3989, 607, 2370, 811, 982, 513, 7522, 267, 11382, 690, 2065, 267, 24396, 1062, 892, 630, 335, 269, 476, 2767, 1916, 24916, 267, 4352, 594, 666, 3858, 602, 27869, 1705, 711, 2582, 856, 519, 14985, 540, 2392, 652, 1588, 607, 519, 1439, 22433, 543, 581, 22433, 540, 5168, 267, 646, 1705, 267, 18562, 267, 2482, 2189, 2566, 593, 621, 538, 1010, 2101, 24396, 960, 267, 634, 23941, 540, 519, 4168, 15215, 267, 1821, 7627, 11271, 476, 2641, 1700, 2190, 547, 519, 1163, 3789, 540, 922, 13400, 1915, 269, 1261, 13000, 621, 538, 519, 1482, 3978, 267, 9836, 6073, 607, 646, 1705, 519, 29625, 540, 519, 959, 6541, 543, 540, 519, 5485, 571, 906, 269, 1809, 267, 14669, 547, 938, 1459, 6165, 267, 27869, 1705, 711, 1491, 909, 519, 14985, 540, 2392, 652, 1588, 896, 519, 19875, 540, 18381, 1697, 630, 8421, 657, 556, 519, 657, 264, 855, 646, 2501, 547, 621, 1310, 513, 7156, 540, 11755, 269, 1261, 13290, 547, 2491, 267, 607, 2484, 607, 602, 568, 2009, 593, 519, 4493, 540, 13414, 267, 1946, 968, 763, 26315, 540, 1272, 630, 529, 264, 711, 8449, 840, 3737, 547, 782, 267, 543, 1851, 1346, 547, 7247, 621, 568, 840, 3737, 630, 527, 568, 264, 711, 2141, 4466, 519, 930, 21200, 1848, 26681, 568, 621, 3833, 23610, 547, 2161, 602, 27869, 1705, 711, 1521, 713, 14985, 4849, 968, 553, 519, 1267, 540, 1010, 4655, 609, 630, 296, 4759, 540, 519, 1234, 11526, 2146, 6100, 14755, 519, 2126, 538, 519, 23941, 1175, 5018, 267, 972, 568, 513, 1433, 1572, 27869, 779, 27869, 1143, 267, 5627, 1079, 2101, 1521, 2478, 540, 27869, 1996, 519, 4936, 7826, 16159, 267, 623, 662, 3780, 540, 918, 2086, 523, 269, 5637, 1521, 519, 1641, 540, 2392, 652, 1588, 543, 519, 5728, 786, 540, 2696, 1996, 519, 19994, 698, 1014, 24677, 540, 623, 662, 3780, 269, 27869, 849, 2300, 4926, 5128, 1317, 540, 1585, 4497, 906, 646, 814, 1185, 1100, 942, 547, 1521, 519, 14985, 540, 2392, 652, 1588, 1354, 563, 2414, 1250, 2247, 267, 621, 5036, 909, 513, 7301, 25710, 4185, 547, 2161, 602, 27869, 1705, 711, 2523, 1521, 713, 1641, 269, 1280, 646, 5701, 621, 1175, 607, 18928, 607, 646, 1705, 519, 5485, 571, 906, 630, 290, 325, 269, 23941, 3738, 282, 543, 646, 5795, 621, 519, 1482, 2027, 7156, 538, 1010, 11786, 12591, 607, 646, 1705, 519, 2672, 3899, 538, 11685, 547, 4639, 13921, 563, 5194, 3236, 540, 971, 513, 7301, 25710, 4185, 529, 1336, 538, 519, 3948, 267, 968, 3891, 5249, 547, 2699, 816, 519, 4636, 338, 711, 1152, 540, 632, 2102, 4733, 30871, 855, 811, 3226, 540, 16283, 13162, 22675, 543, 1323, 629, 2194, 1143, 892, 630, 1495, 619, 322, 1681, 3773, 267, 966, 11053, 12175, 1809, 607, 594, 1224, 519, 23941, 267, 519, 16707, 267, 519, 968, 11847, 569, 547, 19759, 1961, 339, 5608, 1010, 968, 11847, 569, 547, 623, 662, 3780, 5608, 1010, 3594, 9619, 547, 519, 4126, 267, 547, 519, 14890, 543, 547, 519, 4144, 1115, 267, 519, 8292, 593, 519, 28206, 525, 540, 570, 1370, 267, 1010, 4165, 573, 1774, 547, 519, 29813, 2548, 928, 267, 3092, 269, 3092, 1421, 594, 1265, 711, 513, 1085, 842, 8759, 540, 2963, 547, 5815, 602, 27869, 779, 2101, 3646, 941, 9859, 1996, 13162, 753, 543, 1323, 629, 2194, 1235, 269, 634, 1292, 960, 540, 519, 26746, 267, 12077, 267, 540, 8840, 1524, 519, 2497, 540, 519, 1884, 747, 2077, 607, 13162, 543, 27869, 22885, 540, 621, 267, 1185, 676, 1100, 1797, 1044, 12913, 950, 27869, 3357, 2390, 519, 6429, 269, 4014, 13162, 779, 13730, 13889, 1996, 20778, 676, 1568, 1185, 678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15608, 15168, 27895, 1399, 267, 11828, 2048, 4785, 14579, 8889, 538, 519, 8921, 9050, 13012, 685, 609, 19264, 26513, 9400, 5576, 14741, 19907, 267, 30626, 540, 519, 8274, 267, 5664, 5101, 8889, 7027, 269, 14579, 3609, 568, 9846, 835, 540, 519, 7887, 2152, 2469, 883, 1022, 9550, 267, 543, 972, 616, 6286, 2436, 972, 568, 606, 7245, 1689, 610, 20965, 8070, 1923, 5130, 476, 1724, 267, 476, 1708, 271, 454, 4002, 5130, 476, 273, 267, 476, 1708, 271, 267, 621, 729, 9307, 602, 606, 2011, 10880, 10288, 676, 5518, 18496, 11686, 1185, 6707, 6098, 543, 7166, 1627, 553, 655, 1924, 548, 574, 8643, 267, 8783, 540, 519, 1627, 644, 338, 10414, 267, 693, 20045, 24863, 611, 4139, 23076, 269, 634, 1627, 644, 338, 10414, 568, 9833, 607, 519, 16918, 1770, 540, 9459, 779, 4108, 282, 621, 20362, 18246, 4238, 543, 568, 9286, 607, 513, 4914, 22681, 20965, 8070, 1923, 5239, 476, 1240, 267, 476, 1001, 280, 454, 4002, 5239, 476, 277, 267, 476, 1001, 280, 267, 5518, 11686, 1500, 519, 9670, 23318, 602, 646, 1131, 7485, 856, 1034, 540, 519, 476, 272, 267, 1822, 772, 2529, 269, 10136, 538, 16850, 267, 1141, 519, 2136, 2276, 814, 1044, 2324, 609, 519, 918, 6324, 880, 21445, 26219, 14891, 10414, 630, 306, 5263, 264, 547, 4339, 519, 9099, 3557, 540, 12925, 543, 16850, 630, 3041, 3041, 1070, 620, 29841, 320, 20364, 267, 543, 26219, 5518, 645, 1662, 541, 620, 5025, 1087, 611, 267, 543, 547, 20965, 8070, 1923, 2904, 476, 1691, 267, 476, 1001, 280, 454, 1607, 2250, 11016, 267, 5518, 11686, 9307, 513, 1007, 5180, 540, 29388, 593, 1269, 1220, 5479, 9489, 685, 4502, 540, 5370, 689, 3624, 267, 2810, 519, 2557, 689, 476, 1015, 260, 547, 476, 1839, 10065, 2201, 10732, 267, 3624, 9307, 1427, 8932, 2218, 29388, 593, 1269, 2568, 5479, 9489, 685, 4502, 540, 2475, 5370, 2810, 547, 513, 2557, 540, 476, 736, 268, 1839, 10065, 272, 634, 865, 10777, 2048, 339, 8565, 2112, 685, 1063, 519, 2475, 543, 31218, 0, 9596, 547, 1224, 2296, 3214, 476, 272, 568, 1360, 3730, 3498, 269, 898, 814, 811, 982, 476, 4968, 2296, 8289, 1913, 267, 10259, 543, 13093, 7497, 547, 1451, 269, 901, 813, 568, 5078, 585, 840, 5991, 2720, 2044, 267, 21543, 543, 1362, 476, 272, 1053, 563, 9596, 547, 1224, 2296, 3214, 476, 272, 568, 547, 1451, 1224, 543, 741, 13093, 7497, 269, 1411, 786, 1265, 5078, 1543, 543, 2542, 2238, 602, 9290, 707, 1126, 338, 1699, 2542, 1983, 609, 519, 948, 540, 13093, 7497, 563, 268, 6258, 18551, 543, 12332, 563, 268, 28150, 513, 2542, 6863, 540, 476, 4968, 8289, 1913, 538, 513, 2647, 2039, 540, 3584, 454, 268, 21561, 707, 1126, 338, 1702, 538, 13093, 7497, 563, 268, 6258, 8289, 1913, 543, 10259, 454, 12606, 6258, 547, 1224, 2296, 3214, 476, 272, 813, 547, 948, 707, 1126, 547, 1451, 13093, 7497, 267, 5250, 540, 1913, 543, 4001, 707, 3214, 875, 547, 1224, 2296, 1900, 676, 3268, 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 ]
[ 4006, 18796, 269, 1358, 6785, 602, 7429, 930, 540, 519, 10195, 538, 519, 12144, 267, 972, 729, 15792, 2244, 538, 3703, 2871, 10005, 585, 519, 15685, 10437, 547, 19582, 1256, 952, 789, 4769, 1406, 6718, 24914, 563, 5445, 8910, 6836, 606, 4603, 538, 476, 8146, 276, 547, 3142, 538, 513, 1007, 1106, 540, 6417, 2978, 537, 516, 3464, 1107, 268, 25034, 3293, 22063, 689, 519, 791, 1478, 1639, 6532, 540, 17214, 4275, 1141, 14082, 1185, 1279, 16916, 4006, 29647, 563, 8133, 267, 5147, 476, 4029, 267, 729, 9176, 609, 24736, 538, 3703, 2871, 10005, 2336, 2507, 514, 519, 9962, 3703, 2871, 10005, 454, 5278, 11570, 723, 16618, 602, 538, 24053, 3570, 972, 941, 936, 476, 736, 267, 1822, 15685, 20338, 543, 24908, 7606, 538, 1840, 547, 519, 1733, 2572, 269, 4107, 540, 873, 5030, 538, 519, 1079, 2101, 10034, 1107, 31869, 1326, 1144, 538, 5915, 518, 4673, 543, 1715, 24545, 936, 538, 7137, 321, 823, 269, 1284, 1185, 1100, 3057, 9398, 538, 938, 9703, 899, 5080, 514, 877, 1107, 1934, 519, 1544, 1562, 1031, 589, 1067, 785, 2103, 547, 6968, 1524, 968, 14725, 25498, 892, 543, 3142, 873, 1394, 269, 634, 4884, 11570, 16922, 519, 13557, 540, 519, 1004, 945, 1185, 606, 3403, 1107, 3908, 607, 621, 729, 1107, 883, 519, 22694, 1155, 543, 824, 5238, 799, 519, 1544, 614, 1362, 13856, 269, 1548, 941, 741, 4555, 593, 5147, 476, 4029, 267, 476, 8146, 279, 888, 763, 2486, 693, 602, 942, 729, 1360, 14404, 1881, 267, 609, 519, 1733, 2572, 593, 519, 1283, 540, 519, 24050, 543, 538, 27312, 1931, 519, 24908, 543, 1287, 519, 15685, 20338, 269, 1452, 11570, 941, 1360, 8825, 540, 741, 4567, 7158, 543, 1131, 4076, 1044, 3833, 538, 1726, 3671, 566, 607, 547, 875, 519, 15685, 10437, 1131, 4308, 609, 873, 269, 14348, 621, 581, 968, 4958, 9084, 942, 892, 789, 8910, 581, 11842, 888, 5445, 941, 3297, 519, 3646, 602, 9250, 519, 17318, 10414, 538, 476, 8146, 280, 563, 2507, 514, 2221, 779, 24053, 3570, 454, 763, 5046, 268, 866, 6855, 814, 7382, 539, 707, 29431, 1168, 5893, 779, 4566, 585, 14182, 269, 1261, 1185, 1010, 13573, 324, 12641, 1054, 667, 1662, 5942, 782, 4712, 547, 1810, 543, 993, 1076, 936, 547, 519, 2817, 5244, 585, 1010, 6445, 540, 1558, 655, 32607, 269, 0, 763, 18232, 14583, 568, 834, 22238, 2406, 519, 1034, 21380, 7929, 3644, 602, 649, 917, 257, 540, 267, 610, 865, 513, 32068, 1979, 739, 520, 2065, 1014, 543, 7548, 540, 12105, 29489, 6645, 715, 11266, 269, 898, 729, 513, 3948, 1500, 607, 851, 540, 513, 3677, 2243, 281, 1772, 602, 834, 2865, 21380, 7929, 3644, 257, 2731, 607, 21380, 607, 9269, 21479, 286, 2334, 729, 519, 3409, 1500, 538, 513, 682, 8898, 15942, 6011, 6881, 689, 519, 15509, 543, 7368, 538, 2212, 1467, 1310, 2212, 1467, 630, 10175, 676, 5240, 518, 1070, 855, 621, 781, 711, 3833, 4977, 267, 693, 2547, 2687, 547, 8751, 654, 1619, 548, 619, 540, 519, 2160, 540, 2274, 340, 1597, 538, 19934, 269, 715, 11266, 6257, 1864, 607, 834, 821, 540, 519, 1101, 3744, 547, 18005, 5173, 519, 6771, 5413, 540, 519, 13672, 543, 18232, 14726, 936, 519, 3312, 8747, 540, 16568, 17336, 268, 273, 2437, 543, 646, 2488, 513, 3992, 538, 519, 18993, 1170, 2225, 540, 8290, 563, 763, 2268, 1031, 568, 834, 305, 271, 2437, 543, 621, 6763, 585, 519, 3328, 1297, 540, 1004, 945, 786, 581, 7783, 676, 513, 7210, 1268, 267, 14322, 1169, 1268, 789, 7237, 568, 7925, 547, 621, 269, 26560, 21479, 568, 5393, 21380, 267, 609, 606, 681, 271, 540, 476, 280, 610, 476, 1015, 267, 2495, 835, 7783, 1268, 786, 1439, 909, 3468, 532, 827, 476, 1015, 1866, 269, 634, 2770, 781, 681, 271, 568, 1454, 2539, 267, 693, 476, 273, 269, 1924, 1141, 1281, 18232, 2887, 286, 1635, 654, 1619, 548, 619, 262, 9819, 267, 621, 781, 827, 513, 476, 277, 610, 513, 476, 278, 269, 2334, 781, 1454, 2362, 982, 519, 476, 273, 547, 476, 274, 540, 519, 3355, 5046, 268, 866, 8833, 855, 711, 3833, 1141, 519, 9269, 21479, 568, 269, 1306, 585, 875, 519, 13472, 3893, 621, 4636, 267, 715, 11266, 3081, 9444, 681, 271, 3177, 729, 2953, 281, 634, 15509, 3769, 16861, 1239, 593, 18232, 602, 1185, 513, 2362, 681, 271, 982, 814, 1631, 1044, 7229, 267, 543, 621, 5359, 602, 681, 271, 729, 5116, 593, 513, 8642, 6029, 824, 681, 271, 338, 602, 1185, 1044, 2813, 676, 519, 1715, 3840, 8648, 269, 898, 5116, 9269, 21479, 5594, 2539, 267, 811, 538, 519, 476, 279, 268, 280, 2039, 269, 630, 5649, 654, 1619, 548, 619, 262, 1491, 593, 1018, 606, 681, 271, 540, 476, 277, 1797, 538, 2474, 540, 512, 2086, 532, 1524, 519, 3262, 540, 18232, 4700, 0, 1607, 568, 513, 6149, 8115, 936, 519, 4155, 2282, 8738, 15249, 13111, 269, 1703, 729, 606, 4505, 16749, 1899, 7674, 667, 691, 332, 3233, 855, 713, 729, 3294, 771, 4310, 1354, 713, 7936, 1899, 729, 3710, 547, 1205, 4600, 547, 519, 2481, 4070, 3135, 563, 2005, 8118, 538, 476, 6642, 274, 543, 6806, 538, 476, 4198, 277, 269, 2991, 519, 2481, 4070, 729, 2347, 519, 1899, 7283, 1930, 5631, 7674, 14666, 267, 607, 972, 568, 1100, 11175, 693, 519, 2481, 269, 4653, 519, 1858, 568, 7074, 585, 16837, 18697, 267, 5631, 6972, 543, 15203, 563, 5445, 3710, 1919, 547, 2063, 1394, 1287, 543, 621, 568, 5863, 875, 1454, 3007, 547, 1469, 972, 729, 593, 513, 8115, 1489, 602, 15991, 4896, 1131, 2479, 1294, 269, 634, 4070, 814, 11542, 585, 5176, 476, 9610, 1296, 2907, 607, 2484, 607, 594, 666, 2995, 269, 1548, 594, 1810, 1405, 917, 568, 952, 713, 729, 3710, 585, 519, 3312, 1899, 2663, 32419, 267, 1317, 602, 729, 3710, 538, 519, 476, 9264, 271, 781, 799, 1131, 1118, 713, 6149, 2497, 476, 1220, 1296, 2025, 563, 292, 2416, 1259, 267, 621, 5654, 899, 621, 568, 1934, 547, 3251, 543, 4867, 1869, 5713, 607, 513, 3723, 8822, 593, 513, 1857, 3723, 12949, 563, 289, 584, 15249, 1763, 969, 7546, 568, 513, 13111, 593, 519, 5045, 2427, 540, 667, 691, 332, 3233, 538, 519, 2296, 10315, 540, 8061, 517, 269, 898, 568, 835, 540, 513, 1297, 540, 23854, 543, 21394, 602, 941, 3710, 936, 519, 1576, 540, 519, 476, 866, 628, 543, 476, 736, 628, 5553, 538, 519, 1858, 1631, 4988, 676, 667, 691, 332, 3233, 2817, 5244, 547, 3761, 6704, 1216, 547, 519, 2749, 540, 623, 569, 17625, 543, 824, 6385, 3395, 10034, 538, 519, 4478, 1970, 4133, 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 ]
[ 3091, 3309, 543, 14785, 4876, 10092, 585, 1346, 8348, 547, 1451, 543, 1332, 269, 1635, 3695, 707, 4690, 267, 15421, 267, 543, 18653, 2038, 593, 267, 596, 666, 2482, 519, 24536, 585, 1967, 538, 713, 6422, 2361, 269, 1924, 1946, 711, 2015, 12948, 607, 513, 2104, 4781, 286, 2060, 11428, 267, 7279, 267, 543, 2182, 960, 267, 596, 1932, 1522, 1265, 707, 5326, 2816, 1369, 713, 7524, 2872, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 21403, 22868, 538, 18310, 616, 2808, 547, 581, 835, 540, 519, 1164, 9878, 6009, 269, 1703, 616, 513, 3099, 540, 12948, 6009, 538, 18310, 269, 1656, 789, 782, 2097, 609, 741, 1378, 1305, 540, 2640, 543, 2591, 563, 15371, 596, 616, 2576, 609, 476, 1015, 1296, 540, 1995, 2324, 538, 513, 4871, 610, 616, 513, 2487, 10927, 3168, 585, 606, 7127, 7400, 2816, 267, 596, 666, 3442, 689, 513, 2647, 2039, 540, 12948, 6009, 538, 18310, 4470, 593, 707, 15334, 563, 10376, 540, 891, 12948, 2816, 2010, 814, 922, 1378, 2189, 4170, 563, 5278, 6009, 991, 1004, 609, 513, 1880, 1305, 540, 1983, 945, 723, 1185, 930, 1808, 1296, 540, 1995, 547, 4019, 563, 2467, 849, 616, 12948, 6009, 585, 14987, 269, 1656, 789, 786, 1205, 15469, 547, 2362, 7158, 607, 789, 1831, 4810, 563, 6524, 596, 1413, 585, 513, 2816, 538, 12948, 267, 621, 781, 1271, 547, 519, 2010, 267, 741, 2470, 267, 543, 952, 707, 1719, 267, 1983, 267, 543, 2069, 3514, 519, 4876, 563, 289, 1678, 2995, 619, 4217, 5561, 609, 524, 4770, 11974, 267, 11198, 532, 2724, 267, 2870, 6589, 267, 3001, 8852, 547, 1114, 6589, 267, 3092, 563, 289, 1678, 2995, 619, 616, 849, 2092, 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, 4985, 692, 10468, 23757, 31100, 4713, 616, 513, 1895, 540, 2175, 602, 1860, 519, 13285, 602, 1852, 17319, 6091, 267, 3056, 547, 8467, 267, 4887, 693, 15577, 267, 543, 15176, 3350, 269, 2290, 971, 4524, 568, 838, 2880, 546, 2118, 22468, 19548, 25097, 344, 630, 9573, 1070, 799, 5097, 5540, 519, 2539, 17119, 885, 267, 4929, 20765, 267, 4057, 11558, 267, 543, 7411, 6972, 269, 2755, 2757, 2168, 3797, 630, 8976, 264, 666, 948, 4383, 2589, 267, 621, 949, 711, 2141, 1267, 538, 1713, 9283, 538, 5179, 1599, 269, 1306, 971, 267, 3173, 543, 19353, 723, 1044, 3695, 4244, 4485, 547, 25280, 267, 1519, 14021, 3631, 540, 3797, 630, 8379, 5588, 1040, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 22558, 5588, 585, 1453, 609, 838, 2880, 546, 2118, 22468, 8713, 267, 5373, 2390, 519, 2013, 1353, 4330, 538, 519, 1349, 3177, 269, 1284, 786, 2263, 519, 24117, 3297, 22558, 5588, 267, 922, 3334, 267, 2640, 267, 2591, 267, 543, 2104, 8846, 780, 305, 1049, 324, 19992, 22558, 5588, 692, 25565, 25280, 3335, 3322, 12353, 610, 1979, 15553, 569, 7886, 267, 3262, 856, 936, 1896, 3275, 610, 1256, 1296, 269, 1717, 267, 1382, 814, 3254, 602, 811, 7928, 543, 7920, 7459, 666, 1291, 547, 3152, 12374, 538, 5179, 1599, 269, 901, 4466, 3366, 547, 519, 1646, 540, 22558, 5588, 267, 799, 3335, 5161, 540, 3232, 3797, 7886, 585, 1896, 4374, 269, 1635, 3246, 1164, 13066, 540, 6098, 6304, 538, 513, 2110, 1974, 267, 22558, 5588, 6663, 547, 834, 329, 2794, 11034, 257, 519, 29648, 31100, 1062, 543, 3895, 1279, 18835, 2242, 538, 5179, 1599, 780, 15253, 7859, 540, 22558, 5588, 692, 4407, 22558, 5588, 9775, 4470, 593, 1367, 2115, 543, 3853, 267, 621, 3622, 2882, 519, 1739, 3334, 1384, 272, 269, 25779, 4259, 281, 2311, 519, 4098, 540, 519, 1982, 267, 519, 13309, 1568, 609, 519, 1126, 543, 741, 1920, 547, 2697, 1808, 3853, 1644, 547, 10688, 267, 4222, 267, 543, 10342, 269, 1452, 3853, 4196, 607, 513, 31387, 585, 519, 6304, 543, 1683, 513, 5943, 585, 7893, 3356, 563, 273, 269, 4400, 27233, 3635, 281, 3962, 8400, 6212, 593, 1164, 3146, 7065, 819, 267, 4305, 10391, 5751, 2966, 547, 3077, 2127, 540, 8467, 543, 2087, 2949, 5179, 1599, 269, 20113, 949, 1331, 32376, 2866, 267, 15198, 267, 14304, 267, 3666, 2238, 267, 543, 6198, 4247, 563, 274, 269, 24720, 543, 18006, 281, 10801, 519, 6304, 267, 519, 13309, 2488, 5571, 5955, 543, 5583, 547, 2327, 1697, 1106, 267, 4480, 267, 543, 8404, 269, 901, 5955, 2337, 12927, 2318, 5615, 543, 2953, 6959, 267, 5009, 1565, 543, 12802, 563, 275, 269, 5851, 5752, 281, 1677, 11694, 519, 2360, 540, 22558, 5588, 267, 3885, 616, 9415, 547, 7119, 538, 1753, 5752, 267, 8026, 1983, 4121, 538, 3797, 3544, 540, 16516, 7886, 269, 901, 3606, 2259, 25040, 1007, 5179, 3270, 543, 8992, 31633, 2066, 1114, 8658, 563, 276, 269, 10163, 543, 6051, 281, 9717, 519, 14053, 2470, 540, 22558, 5588, 267, 7850, 1964, 543, 6051, 942, 616, 1898, 269, 6601, 6545, 1063, 5751, 267, 7886, 267, 543, 11775, 1450, 519, 1560, 547, 3082, 543, 19597, 622, 9241, 9715, 1983, 563, 277, 269, 4273, 1833, 543, 9542, 281, 1306, 519, 1126, 10607, 267, 519, 13309, 4188, 338, 519, 6304, 547, 6474, 741, 4657, 5759, 543, 2115, 269, 901, 11636, 1935, 5849, 4797, 4161, 543, 2208, 780, 19119, 540, 22558, 5588, 692, 22137, 2303, 602, 22558, 5588, 3091, 3875, 2640, 585, 1453, 609, 838, 2880, 546, 2118, 22468, 8713, 267, 1519, 1384, 272, 269, 20865, 5179, 1599, 281, 5753, 945, 10929, 22558, 5588, 1397, 1713, 12374, 538, 14407, 5179, 1599, 267, 6972, 3432, 267, 543, 3845, 14612, 269, 1358, 849, 6542, 4824, 2022, 1116, 1852, 267, 3666, 267, 543, 11558, 563, 273, 269, 16842, 5778, 27415, 640, 281, 3194, 5267, 602, 22558, 5588, 22262, 8849, 29010, 267, 5009, 519, 2634, 781, 2702, 547, 556, 6716, 1125, 3294, 538, 3210, 547, 1995, 269, 901, 2799, 29010, 5012, 547, 8476, 1565, 543, 5578, 11601, 563, 274, 269, 24046, 1582, 21873, 281, 12160, 908, 538, 22558, 5588, 2636, 1453, 547, 1628, 6015, 538, 741, 5759, 267, 5807, 513, 2631, 540, 16882, 543, 13190, 563, 275, 269, 7731, 9525, 281, 22558, 5588, 7512, 1920, 7589, 267, 7393, 4163, 1478, 540, 1983, 3564, 519, 9354, 1604, 543, 5009, 513, 6793, 2385, 30512, 6125, 780, 29936, 540, 22558, 5588, 692, 8601, 922, 1761, 2640, 267, 22558, 5588, 6799, 1978, 2591, 267, 1519, 1384, 272, 269, 5384, 7029, 281, 11545, 3797, 7886, 2154, 9645, 942, 543, 2200, 267, 30286, 2845, 6750, 7965, 585, 930, 3885, 563, 273, 269, 11038, 11411, 281, 15928, 3549, 949, 711, 3382, 782, 3790, 2404, 609, 22558, 5588, 267, 6028, 3885, 3743, 585, 8720, 1022, 6967, 9276, 563, 274, 269, 15310, 8982, 281, 1160, 14075, 539, 5712, 540, 1164, 27233, 3635, 666, 1291, 547, 9854, 267, 18363, 8404, 543, 2773, 563, 275, 269, 1520, 11447, 547, 1753, 5752, 281, 3117, 11962, 15984, 547, 1753, 5752, 568, 2629, 585, 4509, 3356, 1500, 1282, 22558, 5588, 269, 1717, 267, 30070, 3885, 547, 4497, 538, 2834, 2259, 666, 581, 4101, 780, 31306, 19648, 692, 2026, 1719, 538, 22558, 5588, 5170, 547, 1332, 267, 2417, 1382, 568, 2877, 547, 2232, 1883, 2055, 267, 971, 607, 6099, 18262, 267, 12557, 267, 543, 1367, 1436, 269, 3958, 267, 13753, 883, 1942, 13716, 4369, 543, 10333, 786, 948, 1118, 22558, 5588, 811, 3015, 547, 513, 6626, 2039, 540, 3885, 269, 7053, 267, 6220, 6932, 4066, 267, 899, 28707, 8596, 543, 5691, 4641, 267, 1223, 3986, 519, 7145, 543, 4398, 540, 22558, 5588, 1247, 4227, 16126, 593, 8261, 2553, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8976, 4856, 1676, 281, 1323, 2271, 2400, 7844, 540, 10657, 585, 513, 4132, 609, 1975, 2880, 667, 2118, 22468, 24583, 13887, 623, 1023, 344, 281, 589, 8865, 5530, 454, 25889, 543, 20828, 281, 2271, 2400, 3797, 630, 3951, 264, 3292, 585, 1453, 609, 14715, 4713, 723, 4957, 12963, 14317, 282, 4352, 267, 4867, 972, 568, 1100, 598, 5477, 2963, 538, 1489, 540, 3617, 10873, 267, 6364, 3800, 267, 4908, 267, 8653, 267, 610, 8515, 540, 7886, 563, 303, 8824, 19353, 3858, 602, 1453, 609, 19548, 25097, 344, 630, 9573, 264, 991, 2168, 3797, 630, 8976, 264, 538, 26638, 543, 2429, 6689, 282, 2705, 267, 972, 568, 1419, 1360, 3500, 3356, 538, 8236, 4222, 267, 11558, 267, 3666, 267, 5605, 1637, 609, 610, 1510, 4217, 633, 3457, 267, 610, 7115, 538, 6198, 2238, 269, 9182, 267, 12963, 2168, 16293, 723, 6170, 936, 19939, 1296, 15388, 2409, 547, 968, 329, 2794, 1376, 892, 519, 29648, 31100, 1062, 538, 1453, 609, 8713, 269, 634, 3483, 540, 713, 2013, 1353, 568, 547, 4766, 519, 2359, 540, 513, 1126, 609, 8713, 1282, 19939, 2395, 540, 606, 14021, 2203, 540, 3797, 630, 8379, 5588, 1916, 25519, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 8447, 6764, 1515, 906, 1315, 3026, 23757, 31100, 15136, 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 ]
[ 11825, 6001, 525, 519, 6439, 531, 838, 327, 3307, 518, 4887, 5160, 267, 1818, 3023, 4443, 543, 12257, 602, 568, 14556, 4328, 269, 1809, 267, 9001, 1402, 11825, 1282, 796, 31695, 267, 32615, 26697, 602, 568, 1387, 982, 29156, 519, 7872, 540, 7486, 3968, 630, 21547, 323, 10735, 1040, 901, 1522, 581, 1317, 1402, 11825, 3986, 1973, 10009, 883, 519, 8031, 602, 616, 6439, 531, 4463, 2287, 741, 18687, 547, 4576, 269, 7377, 11825, 2119, 711, 547, 1764, 519, 7696, 633, 7649, 779, 4960, 540, 2068, 563, 305, 624, 531, 3654, 4221, 1223, 581, 519, 24450, 540, 519, 5714, 267, 971, 607, 585, 1383, 2834, 1216, 610, 865, 2355, 644, 338, 267, 538, 547, 519, 606, 639, 3842, 606, 6293, 267, 547, 2973, 519, 606, 639, 1354, 610, 1310, 1387, 26697, 543, 621, 568, 606, 2534, 602, 568, 1455, 28305, 543, 25251, 2367, 269, 11048, 267, 621, 1522, 2800, 519, 16298, 602, 568, 6439, 531, 4894, 8825, 6923, 9648, 17900, 269, 1403, 519, 3654, 4221, 602, 568, 1482, 267, 17643, 3650, 610, 824, 3926, 666, 581, 1031, 676, 1142, 1268, 267, 5563, 568, 849, 10299, 899, 602, 563, 288, 10282, 540, 476, 2190, 2090, 8612, 602, 6439, 531, 3654, 4221, 8694, 909, 1373, 4448, 609, 606, 3592, 1614, 19507, 2799, 10171, 540, 2068, 609, 7486, 543, 606, 1256, 811, 982, 1079, 19507, 22705, 25973, 538, 519, 7872, 540, 513, 16770, 10299, 4576, 824, 982, 7486, 630, 30537, 1040, 1733, 12241, 621, 568, 15164, 602, 713, 6364, 1223, 8806, 581, 1813, 547, 24040, 21441, 267, 782, 540, 519, 2090, 2944, 2789, 9382, 547, 1491, 883, 7156, 1761, 1476, 895, 619, 971, 607, 585, 1383, 2834, 640, 540, 3023, 543, 7649, 5515, 269, 1323, 531, 11702, 10123, 12651, 519, 7872, 540, 2068, 267, 543, 1522, 581, 1813, 547, 688, 13579, 9071, 6950, 267, 1978, 590, 30454, 971, 607, 585, 3236, 1387, 530, 11301, 267, 15601, 15087, 267, 519, 946, 602, 568, 1991, 540, 9162, 267, 610, 676, 9491, 1359, 543, 535, 12371, 269, 0, 2464, 299, 4928, 2994, 1058, 4161, 519, 2875, 543, 1489, 3811, 1565, 563, 12626, 607, 513, 5822, 5678, 1053, 2154, 3606, 6351, 1369, 519, 4928, 547, 1489, 6340, 267, 2542, 543, 1603, 269, 634, 4928, 4116, 1590, 6451, 2994, 602, 786, 1450, 519, 26613, 2875, 547, 1745, 3811, 607, 1134, 607, 547, 1451, 269, 1452, 2994, 1450, 519, 2875, 547, 1831, 606, 7471, 851, 540, 519, 4928, 543, 7753, 2591, 563, 10743, 946, 513, 6056, 6261, 1515, 27691, 732, 4640, 547, 948, 1184, 2093, 543, 1344, 269, 634, 2875, 14659, 827, 513, 2243, 610, 3510, 602, 519, 4116, 814, 15054, 269, 1261, 1287, 7140, 547, 513, 7649, 547, 6432, 543, 2671, 1010, 2856, 267, 1354, 8108, 1007, 2093, 269, 634, 6292, 1287, 6799, 519, 4901, 547, 519, 1362, 269, 901, 2534, 2636, 519, 26613, 2875, 547, 5968, 4555, 538, 513, 1507, 1895, 1510, 20468, 827, 9880, 689, 9905, 563, 20877, 545, 25696, 948, 26613, 1053, 10891, 1344, 689, 1257, 543, 2984, 269, 4841, 2328, 1344, 883, 519, 6688, 540, 519, 28013, 543, 621, 2337, 547, 11617, 5094, 1344, 543, 5031, 1152, 1018, 568, 1271, 269, 4841, 666, 946, 8642, 25696, 547, 4217, 538, 2542, 543, 1603, 269, 901, 4640, 2337, 1053, 547, 11677, 1018, 568, 4121, 563, 290, 1817, 531, 2542, 2488, 1489, 585, 26613, 1053, 602, 616, 711, 2178, 3988, 269, 634, 2875, 14509, 1927, 609, 519, 4116, 543, 824, 1053, 607, 21711, 568, 24018, 269, 634, 2875, 568, 2111, 547, 1224, 543, 547, 2953, 6959, 607, 646, 14509, 269, 7743, 703, 29396, 568, 849, 24018, 585, 519, 26613, 2875, 269, 634, 4116, 1058, 3442, 2085, 3617, 2835, 602, 616, 513, 2370, 3564, 1018, 519, 2875, 666, 1224, 593, 1010, 1378, 267, 547, 1683, 513, 4161, 563, 288, 2262, 3774, 568, 8246, 547, 6338, 1007, 1913, 538, 513, 1770, 543, 547, 2689, 6863, 269, 634, 3774, 1058, 581, 7317, 609, 1053, 22392, 519, 1913, 269, 15316, 3756, 666, 581, 5129, 1210, 519, 3774, 267, 899, 1079, 1053, 4947, 909, 547, 519, 4604, 547, 3442, 519, 2953, 2262, 689, 513, 4214, 269, 6478, 6821, 616, 849, 3730, 538, 21528, 26613, 1053, 950, 1603, 543, 10259, 563, 6524, 513, 5542, 568, 1224, 538, 519, 4928, 267, 5961, 1058, 581, 3254, 547, 519, 1362, 547, 6338, 519, 4729, 269, 634, 5961, 948, 519, 2875, 3095, 1007, 1565, 547, 1991, 1702, 269, 634, 5961, 1058, 581, 5941, 543, 519, 4116, 1058, 2307, 519, 26613, 1053, 547, 1106, 11236, 827, 519, 5542, 269, 17006, 5961, 547, 519, 3992, 2337, 5818, 519, 1053, 685, 8223, 540, 519, 1257, 269, 0, 1103, 14368, 1108, 267, 1018, 568, 1164, 2604, 888, 1765, 27839, 16399, 267, 20242, 572, 6390, 267, 7629, 563, 2108, 18208, 675, 892, 4016, 547, 2011, 2604, 693, 2666, 1377, 267, 8259, 6382, 9138, 269, 968, 11947, 2604, 892, 543, 968, 869, 2604, 892, 616, 3448, 2474, 267, 609, 519, 5449, 2141, 3954, 7627, 513, 3152, 2011, 2604, 982, 519, 8545, 269, 2201, 4365, 7851, 267, 513, 968, 14683, 892, 630, 14683, 2604, 1062, 264, 4564, 606, 1858, 267, 2356, 693, 2547, 513, 1906, 4627, 5195, 2066, 267, 538, 799, 2011, 2604, 13220, 616, 10876, 3152, 982, 693, 782, 4478, 6753, 563, 30182, 2011, 2604, 693, 4262, 1377, 568, 476, 3066, 269, 10844, 6279, 540, 16035, 269, 2334, 568, 267, 519, 2011, 2604, 693, 519, 5377, 540, 513, 6241, 540, 16035, 476, 3066, 269, 10844, 6279, 538, 4463, 4010, 11224, 519, 2604, 693, 519, 5377, 540, 513, 6241, 540, 2011, 14178, 689, 4262, 1377, 547, 519, 1283, 540, 519, 5790, 269, 0, 288, 2603, 540, 5491, 585, 602, 6521, 12851, 547, 606, 12691, 5869, 710, 281, 25845, 717, 1652, 1676, 10557, 269, 769, 606, 11566, 569, 5256, 26730, 3990, 2361, 267, 10557, 267, 513, 11068, 13523, 4807, 1510, 513, 1164, 1153, 26885, 267, 1500, 7418, 2429, 519, 476, 4350, 271, 338, 543, 476, 2412, 338, 602, 12236, 1200, 519, 1395, 32304, 968, 763, 12624, 540, 5983, 14750, 3163, 3034, 8005, 568, 2808, 519, 3993, 540, 18837, 2257, 888, 26180, 27509, 717, 1652, 1676, 10557, 2008, 25238, 1221, 1475, 20464, 476, 2767, 267, 476, 3422, 273, 630, 3042, 476, 10695, 264, 21861, 548, 1335, 267, 1715, 24900, 2008, 347, 15447, 333, 585, 1475, 2108, 300, 1278, 540, 18837, 2257, 892, 2008, 347, 8253, 762, 960, 1475, 301, 7491, 17850, 5525, 540, 16228, 680, 7134, 12280, 2008, 8489, 1705, 519, 2012, 2428, 9917, 961, 338, 2097, 689, 10557, 888, 15447, 333, 607, 519, 715, 7491, 17850, 5525, 540, 16228, 680, 7134, 12280, 267, 519, 2012, 729, 6508, 689, 606, 2025, 7128, 6031, 267, 968, 3519, 341, 1112, 519, 16944, 267, 2312, 519, 17608, 267, 543, 1265, 519, 5168, 538, 513, 2428, 9917, 961, 1848, 634, 3631, 941, 23939, 2813, 593, 519, 4336, 540, 835, 10759, 547, 519, 3723, 563, 8005, 568, 519, 4651, 540, 18837, 2257, 888, 299, 18201, 568, 2808, 547, 581, 519, 4651, 540, 2413, 18837, 2257, 269, 3571, 16510, 20232, 568, 519, 4493, 540, 782, 18837, 960, 563, 8005, 729, 519, 1101, 1268, 547, 946, 18837, 2257, 888, 22832, 15794, 729, 519, 1101, 547, 4019, 713, 1007, 2257, 547, 519, 1148, 540, 2062, 985, 923, 269, 1261, 729, 1572, 676, 519, 31989, 538, 513, 12638, 4693, 547, 2285, 2963, 607, 513, 2447, 626, 538, 476, 8146, 273, 563, 6701, 2428, 9917, 961, 338, 1869, 1031, 2221, 888, 9213, 267, 789, 616, 18385, 8704, 593, 519, 8772, 6989, 540, 519, 8433, 540, 519, 12751, 6481, 1401, 3133, 518, 267, 3297, 513, 7450, 6825, 968, 26073, 1108, 1401, 3031, 527, 1848, 634, 715, 7491, 17850, 338, 616, 1869, 1031, 607, 2866, 2645, 538, 4630, 8336, 29468, 563, 1692, 1705, 10557, 3142, 2257, 543, 1148, 1927, 888, 293, 27509, 717, 1652, 1676, 10557, 2813, 22111, 543, 27615, 13135, 1019, 528, 24252, 540, 12638, 10207, 267, 799, 616, 1869, 1031, 547, 5721, 7128, 2221, 269, 2560, 1656, 865, 10557, 3459, 26311, 1200, 1920, 19539, 883, 513, 1788, 602, 5916, 519, 1360, 796, 19921, 2643, 833, 1158, 540, 6760, 609, 519, 6469, 6575, 281, 519, 715, 7491, 17850, 5525, 540, 16228, 680, 7134, 12280, 563, 8005, 2813, 519, 6760, 6429, 6564, 8075, 888, 288, 4816, 8929, 538, 922, 524, 1026, 269, 1452, 616, 519, 865, 10777, 968, 301, 7491, 17850, 338, 2223, 2669, 10207, 2813, 676, 476, 736, 628, 2540, 646, 328, 816, 267, 10196, 543, 7376, 25845, 717, 1652, 1676, 10557, 267, 519, 968, 326, 617, 15948, 540, 18837, 2257, 2223, 945, 1500, 891, 1019, 528, 24252, 540, 1483, 3734, 2665, 547, 948, 2104, 22602, 798, 811, 4977, 18837, 6760, 2079, 563, 1432, 616, 2428, 9917, 961, 338, 888, 272, 2433, 519, 2182, 5007, 8720, 538, 799, 519, 17830, 540, 513, 2428, 568, 20583, 269, 476, 273, 2433, 1945, 540, 1507, 2450, 267, 2179, 267, 610, 9165, 269, 538, 513, 2428, 9917, 961, 563, 8489, 1705, 519, 2012, 2428, 9917, 961, 338, 2097, 689, 28866, 888, 293, 3757, 30241, 10557, 717, 1652, 1676, 729, 606, 1977, 18837, 10196, 269, 2701, 2813, 519, 968, 22756, 17850, 338, 892, 585, 519, 2866, 540, 18837, 22602, 269, 2701, 4362, 1200, 6612, 585, 2062, 985, 923, 998, 1200, 7015, 779, 3659, 267, 6723, 26990, 612, 7395, 337, 987, 269, 634, 2012, 968, 22756, 17850, 338, 892, 2501, 689, 1200, 5397, 547, 968, 22772, 5168, 538, 513, 2428, 9917, 961, 9731, 8005, 568, 519, 1034, 4583, 18837, 10196, 888, 763, 476, 279, 4107, 25587, 5983, 14750, 12207, 1299, 4256, 5903, 540, 7498, 268, 3220, 269, 5261, 30464, 630, 18197, 2276, 264, 6693, 268, 3220, 269, 9478, 13852, 630, 9928, 582, 1633, 264, 6693, 268, 3220, 269, 3798, 12107, 16511, 731, 630, 293, 8896, 264, 6693, 268, 3220, 269, 8361, 674, 4954, 1091, 630, 18197, 8003, 264, 6693, 268, 5261, 681, 269, 8575, 1255, 630, 18197, 2276, 264, 6693, 268, 7581, 320, 918, 4752, 630, 18197, 8003, 264, 6693, 268, 25845, 717, 1652, 1676, 10557, 630, 18197, 2276, 264, 6693, 268, 7917, 623, 563, 8005, 4362, 519, 31937, 888, 763, 22082, 538, 31937, 8446, 729, 11184, 14731, 8895, 2023, 267, 606, 10236, 6048, 676, 2866, 267, 945, 729, 519, 1101, 547, 1397, 23963, 875, 9416, 21646, 1223, 581, 1031, 547, 2697, 2043, 269, 22073, 538, 519, 476, 6642, 271, 338, 267, 8895, 2023, 630, 320, 23013, 540, 8176, 16817, 264, 6594, 9416, 21646, 547, 3343, 856, 22420, 7592, 563, 1432, 616, 519, 476, 274, 5107, 540, 513, 18837, 2257, 27637, 888, 763, 1614, 4247, 602, 513, 18837, 10196, 15824, 616, 519, 1739, 282, 2445, 543, 5659, 2963, 689, 519, 6760, 6429, 267, 1683, 4274, 21981, 267, 543, 5721, 824, 1876, 11268, 538, 519, 10916, 543, 4015, 540, 2963, 563, 3674, 621, 2182, 547, 581, 513, 18837, 10196, 888, 20288, 14750, 2257, 568, 513, 1360, 8013, 2361, 267, 865, 4466, 513, 2816, 666, 581, 2352, 269, 1488, 2719, 3054, 609, 2362, 2069, 543, 24501, 666, 948, 14831, 3585, 563, 3674, 18837, 2257, 513, 1434, 4876, 888, 18814, 547, 2333, 538, 6760, 2557, 543, 20737, 267, 519, 9165, 540, 5983, 14750, 3163, 568, 2799, 28354, 269, 1703, 616, 6266, 540, 2816, 3255, 538, 519, 2361, 540, 5983, 14750, 3163, 269, 2560, 1411, 666, 849, 960, 607, 513, 3656, 24468, 1310, 11543, 1995, 607, 513, 5983, 14750, 26831, 563, 1432, 616, 519, 8371, 540, 18837, 2257, 888, 20288, 14750, 2257, 568, 4061, 2417, 6896, 883, 519, 1739, 4610, 912, 268, 29895, 15845, 5811, 563, 268, 5983, 14750, 24768, 1108, 563, 268, 5983, 14750, 10017, 563, 268, 5983, 14750, 23093, 17226, 563, 268, 5983, 14750, 11202, 1108, 563, 268, 5983, 14750, 8838, 5852, 563, 268, 5983, 14750, 13095, 26585, 563, 268, 5983, 14750, 23008, 2524, 269, 0, 7212, 18837, 2257, 543, 6309, 11659, 1312, 1935, 2152, 540, 6760, 543, 7803, 2623, 689, 513, 3621, 29459, 267, 519, 1079, 10459, 616, 3833, 1114, 269, 2560, 5983, 14750, 2257, 2488, 2409, 585, 6061, 6760, 267, 1247, 6309, 11659, 10953, 6436, 585, 7713, 6760, 607, 513, 1514, 7613, 563, 3674, 18837, 2257, 513, 6309, 11659, 888, 20288, 14750, 2257, 568, 606, 1935, 547, 4194, 519, 6760, 543, 922, 1644, 2152, 267, 6466, 6309, 11659, 10953, 6436, 543, 6941, 519, 6760, 607, 1514, 9259, 269, 2560, 5983, 14750, 2257, 568, 5631, 8246, 538, 6061, 10963, 543, 519, 11268, 540, 4031, 267, 971, 607, 7803, 543, 3540, 4031, 563, 4692, 594, 581, 513, 18837, 10196, 609, 513, 6309, 11659, 4110, 888, 22512, 619, 609, 513, 6309, 11659, 4110, 1331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 941, 7381, 267, 711, 1256, 513, 2582, 21221, 2030, 729, 4767, 269, 1261, 12630, 519, 674, 272, 5108, 5452, 267, 16916, 519, 2371, 602, 10351, 3990, 689, 873, 267, 543, 4847, 519, 2371, 547, 1582, 1922, 23459, 1125, 267, 6721, 513, 2034, 5108, 1572, 674, 273, 5108, 269, 5637, 540, 519, 7592, 689, 519, 623, 5108, 7153, 538, 519, 674, 273, 5108, 269, 1261, 4767, 602, 519, 15366, 1915, 729, 1586, 6829, 538, 519, 674, 273, 5108, 269, 1717, 267, 519, 32311, 540, 519, 16023, 729, 711, 3160, 269, 1261, 8068, 602, 519, 1297, 540, 519, 7381, 543, 21221, 2371, 27648, 5111, 513, 476, 274, 281, 272, 5223, 269, 21780, 601, 5342, 1395, 334, 1506, 8455, 22613, 585, 782, 5722, 17804, 3197, 540, 890, 320, 2371, 267, 543, 538, 782, 540, 519, 22613, 267, 646, 3893, 519, 1482, 1267, 269, 2353, 540, 519, 674, 272, 5481, 11696, 1194, 1152, 835, 540, 519, 1079, 3237, 267, 855, 1312, 15366, 7592, 7153, 538, 519, 674, 273, 5108, 538, 5111, 513, 476, 274, 281, 272, 5223, 563, 300, 12817, 1620, 540, 26263, 28437, 22472, 538, 519, 674, 273, 19087, 454, 300, 754, 601, 18084, 513, 890, 320, 2030, 4630, 27340, 748, 585, 519, 5180, 27446, 609, 4630, 27340, 748, 23743, 1194, 27446, 269, 901, 1101, 5108, 540, 513, 3444, 729, 519, 623, 630, 8001, 531, 264, 5108, 269, 634, 16674, 10861, 630, 27916, 9689, 32746, 618, 20099, 2717, 2096, 6973, 1143, 264, 4806, 849, 6462, 713, 269, 634, 16674, 10861, 4806, 568, 1114, 952, 513, 2030, 568, 10636, 27340, 748, 585, 606, 27446, 269, 634, 16674, 10861, 568, 5833, 950, 519, 19231, 3135, 568, 4957, 538, 519, 29294, 269, 634, 674, 272, 5108, 5833, 676, 519, 3444, 729, 10636, 27340, 748, 538, 2470, 543, 16674, 10861, 4806, 729, 1114, 689, 922, 3237, 269, 16674, 10861, 2079, 4951, 602, 789, 941, 2965, 10636, 27340, 748, 1256, 1498, 789, 6829, 513, 16023, 540, 513, 1880, 2385, 269, 2334, 779, 1797, 538, 674, 272, 5108, 16023, 540, 835, 2385, 729, 8789, 936, 519, 16023, 540, 1776, 2385, 269, 3371, 519, 27446, 678, 729, 6456, 609, 2463, 547, 519, 24466, 26737, 1317, 27446, 678, 729, 12424, 633, 547, 27446, 681, 269, 1325, 548, 548, 681, 9633, 539, 519, 1198, 540, 27446, 678, 1317, 27446, 681, 729, 8789, 936, 27446, 678, 563, 32701, 267, 519, 23743, 1194, 6079, 26737, 31272, 18193, 538, 519, 674, 273, 5108, 3489, 1310, 1582, 532, 538, 519, 674, 272, 5108, 269, 16674, 10861, 2079, 4951, 538, 674, 273, 5108, 930, 2030, 941, 8789, 4630, 27340, 748, 630, 305, 305, 1070, 930, 941, 10636, 27340, 748, 630, 305, 337, 264, 543, 930, 941, 12424, 633, 4630, 27340, 748, 630, 31014, 1916, 2171, 666, 2022, 3634, 1585, 1267, 856, 540, 891, 22613, 454, 1892, 634, 674, 272, 5108, 267, 5833, 689, 3444, 1922, 1068, 16478, 1063, 1079, 4630, 27340, 748, 3237, 267, 6829, 1152, 519, 8789, 16023, 1317, 519, 674, 272, 28738, 344, 941, 10636, 27340, 748, 1765, 1721, 1383, 267, 681, 337, 28738, 344, 994, 1103, 674, 273, 5108, 930, 2030, 941, 8789, 4630, 27340, 748, 630, 305, 305, 29294, 1070, 930, 941, 10636, 27340, 748, 630, 31014, 29294, 264, 543, 930, 941, 12424, 633, 4630, 27340, 748, 563, 1892, 769, 519, 674, 273, 5108, 267, 519, 4307, 28437, 5223, 540, 8789, 543, 12424, 633, 2371, 729, 476, 274, 281, 272, 543, 519, 1024, 28437, 5223, 729, 476, 272, 281, 273, 281, 272, 563, 273, 269, 274, 269, 272, 269, 634, 4644, 540, 3933, 334, 1506, 8455, 9061, 525, 281, 8894, 10376, 2030, 1590, 267, 4061, 267, 4865, 1079, 4719, 2188, 8193, 585, 513, 1880, 16023, 1775, 4318, 269, 634, 4527, 540, 1312, 5180, 543, 23743, 1194, 5452, 538, 519, 674, 273, 1223, 581, 6045, 1152, 952, 519, 674, 272, 2371, 22234, 1312, 5180, 543, 23743, 1194, 4719, 2188, 602, 789, 15110, 689, 519, 623, 5108, 563, 273, 269, 275, 269, 21780, 601, 781, 3791, 4521, 540, 21834, 630, 25187, 540, 18763, 2667, 24142, 994, 3080, 27446, 540, 513, 5444, 1205, 5302, 26021, 610, 1028, 677, 10446, 689, 1776, 27446, 540, 1776, 5444, 269, 2334, 1797, 6090, 8193, 585, 1114, 4162, 5094, 10446, 540, 835, 1776, 950, 13708, 26347, 616, 4646, 267, 19962, 547, 519, 4830, 9668, 540, 4630, 27881, 8424, 540, 15954, 1282, 32450, 269, 2637, 525, 602, 1397, 4830, 25819, 616, 1767, 547, 581, 796, 15062, 539, 602, 1797, 789, 616, 1459, 593, 513, 1114, 15694, 269, 634, 8367, 540, 4830, 25819, 666, 581, 10858, 585, 1019, 1506, 8455, 543, 27477, 22613, 269, 901, 568, 711, 10858, 585, 1395, 334, 1506, 8455, 22613, 563, 300, 754, 601, 18084, 5835, 267, 5180, 5452, 2385, 568, 18084, 609, 3039, 267, 23743, 1194, 5452, 2385, 269, 769, 513, 1019, 1506, 8455, 3444, 267, 1079, 3197, 616, 18084, 693, 513, 2582, 942, 568, 1572, 607, 4144, 1506, 8455, 3444, 454, 763, 674, 272, 5108, 5452, 941, 782, 5835, 543, 5180, 269, 901, 6920, 519, 27586, 585, 891, 1079, 7592, 941, 8789, 269, 634, 1582, 532, 538, 674, 272, 5108, 2030, 7472, 2185, 4307, 28437, 5049, 538, 519, 674, 273, 5108, 6719, 782, 2009, 10659, 540, 519, 2681, 543, 9403, 7592, 855, 711, 538, 3160, 8167, 563, 10521, 5049, 1765, 344, 3641, 267, 5180, 5452, 543, 3039, 267, 23743, 1194, 5452, 1765, 516, 5145, 1194, 519, 15366, 12490, 269, 634, 824, 1079, 1765, 13582, 267, 5180, 5452, 543, 5835, 267, 23743, 1194, 5452, 1765, 3333, 15735, 1007, 10659, 540, 7592, 269, 634, 5223, 540, 519, 1019, 1506, 8455, 3444, 568, 476, 280, 281, 274, 281, 274, 281, 272, 563, 1892, 634, 476, 280, 4564, 519, 8167, 540, 2043, 18071, 1312, 8789, 7592, 1775, 4318, 269, 5180, 543, 5835, 5452, 563, 1892, 634, 1101, 476, 274, 4564, 519, 2043, 18071, 519, 1101, 8789, 16023, 543, 519, 2034, 12424, 633, 16023, 1775, 4318, 269, 5180, 3039, 5452, 563, 1892, 634, 2034, 476, 274, 4564, 1346, 18071, 519, 1101, 12424, 633, 16023, 543, 2034, 8789, 16023, 1775, 4318, 269, 23743, 1194, 543, 5835, 5452, 563, 1892, 634, 476, 272, 4564, 519, 4630, 27340, 1774, 267, 18071, 1312, 12424, 633, 7592, 1775, 4318, 269, 23743, 1194, 543, 3039, 5452, 563, 763, 4144, 1506, 8455, 3444, 666, 581, 2808, 607, 1079, 1395, 334, 1506, 8455, 22613, 849, 269, 634, 10567, 674, 273, 5108, 2164, 540, 519, 1101, 3444, 616, 476, 274, 270, 275, 5835, 543, 476, 272, 270, 275, 3039, 269, 6684, 267, 519, 2034, 3444, 6556, 267, 476, 274, 270, 275, 5180, 543, 476, 272, 270, 275, 23743, 1194, 269, 634, 1019, 1506, 8455, 5223, 540, 476, 280, 281, 274, 281, 274, 281, 272, 666, 849, 581, 10567, 676, 5506, 1505, 563, 1103, 519, 1019, 1506, 8455, 3444, 267, 476, 1321, 856, 540, 1169, 476, 1626, 674, 273, 5108, 2371, 616, 5835, 267, 1247, 2185, 856, 540, 1169, 28465, 616, 3039, 269, 901, 3947, 519, 4397, 476, 274, 281, 272, 630, 274, 270, 275, 281, 272, 270, 275, 264, 5223, 538, 674, 273, 5108, 269, 6684, 267, 476, 1321, 856, 540, 1169, 476, 1626, 540, 782, 674, 273, 2371, 723, 5180, 5452, 267, 543, 2185, 856, 540, 1169, 28465, 723, 23743, 1194, 5452, 267, 1586, 13031, 519, 1482, 476, 274, 281, 272, 5223, 269, 4935, 519, 1019, 1506, 8455, 5223, 666, 581, 2808, 607, 1079, 1395, 334, 1506, 8455, 22613, 269, 1452, 2338, 6961, 602, 519, 1079, 8424, 540, 17804, 1915, 616, 15110, 10446, 563, 3086, 649, 666, 3362, 3589, 519, 5506, 540, 606, 674, 273, 5108, 2030, 2348, 5835, 543, 5180, 5452, 568, 630, 274, 270, 275, 7565, 274, 270, 275, 1070, 610, 476, 280, 270, 1626, 269, 634, 5506, 540, 519, 674, 273, 5108, 2030, 2348, 5835, 630, 274, 270, 275, 3738, 543, 23743, 1194, 5452, 630, 272, 270, 275, 264, 568, 476, 274, 270, 1626, 269, 634, 5506, 540, 519, 674, 273, 5108, 2030, 2348, 3039, 630, 272, 270, 275, 264, 543, 5180, 5452, 630, 274, 270, 275, 264, 568, 476, 274, 270, 1626, 269, 4935, 519, 5223, 540, 1019, 1506, 8455, 3444, 568, 476, 280, 281, 274, 281, 274, 281, 272, 563, 268, 631, 21715, 5085, 24202, 32045, 5508, 717, 2894, 292, 23154, 454, 268, 29187, 305, 2464, 7728, 9569, 5508, 631, 21715, 5085, 24912, 12327, 25807, 8379, 19006, 454, 268, 11123, 298, 3633, 6441, 12114, 631, 24518, 7495, 454, 268, 570, 6020, 14176, 16576, 2839, 595, 4629, 7704, 454, 268, 12327, 307, 2894, 31064, 306, 6730, 26827, 9281, 2975, 25972, 5508, 32577, 2975, 11553, 2562, 5746, 12195, 2464, 5508, 631, 21715, 5085, 32045, 454, 268, 570, 12239, 595, 4629, 7704, 6730, 5990, 645, 19272, 290, 4629, 7704, 454, 268, 8863, 15375, 5308, 6865, 3201, 32577, 3041, 5508, 5442, 295, 2207, 3951, 23814, 454, 268, 12327, 307, 2894, 31064, 5508, 631, 21715, 5085, 296, 3198, 717, 2894, 292, 23154, 454, 268, 700, 2562, 298, 17803, 30684, 303, 5058, 454, 268, 570, 4953, 305, 4696, 589, 2793, 14877, 306, 3041, 454, 268, 645, 3722, 9898, 24361, 717, 2894, 292, 23154, 454, 268, 623, 3633, 5456, 12767, 589, 2793, 14877, 306, 3041, 454, 268, 10323, 311, 5442, 14566, 308, 9970, 570, 6938, 3951, 454, 268, 10323, 311, 700, 8379, 3951, 3633, 570, 6938, 3951, 306, 454, 268, 623, 5357, 312, 294, 2894, 2975, 5442, 295, 2207, 3951, 23814, 5336, 8085, 2316, 303, 4041, 717, 2894, 292, 5442, 295, 2207, 3951, 23814, 19532, 3198, 2316, 14011, 20937, 5442, 295, 2207, 3951, 23814, 454, 268, 8863, 15375, 5308, 6865, 3201, 9474, 21612, 25972, 0, 2252, 1004, 3548, 513, 7059, 2732, 267, 789, 1810, 1406, 991, 547, 1491, 8324, 267, 1072, 4648, 1767, 563, 21357, 4741, 11233, 11916, 12594, 15440, 23183, 18582, 5459, 1767, 2921, 1932, 1082, 8324, 3884, 1406, 513, 1434, 3364, 563, 6624, 2053, 1004, 1589, 602, 952, 2921, 930, 8324, 568, 1434, 267, 2921, 513, 2898, 19619, 568, 1732, 563, 17606, 568, 2009, 547, 1491, 1932, 1454, 2223, 18582, 5459, 1767, 269, 968, 5278, 540, 938, 645, 8324, 267, 952, 649, 1491, 1932, 1454, 267, 621, 786, 1175, 581, 17515, 538, 519, 10729, 269, 2368, 540, 891, 3170, 19729, 8324, 543, 6886, 666, 1628, 909, 538, 938, 1560, 543, 723, 6757, 2360, 2223, 18582, 5459, 1767, 563, 21982, 1932, 1454, 540, 513, 3170, 19729, 6171, 267, 899, 589, 267, 667, 267, 661, 543, 918, 666, 2014, 5739, 2360, 899, 6797, 3441, 267, 610, 11702, 538, 930, 2665, 267, 6481, 4741, 2549, 12712, 2218, 5516, 24103, 626, 24981, 1284, 559, 663, 1767, 563, 9515, 3773, 602, 972, 616, 3075, 4205, 547, 581, 3222, 540, 971, 607, 12192, 918, 543, 2782, 325, 18288, 267, 799, 568, 513, 6171, 918, 21087, 626, 269, 2782, 325, 18288, 568, 513, 1973, 25182, 563, 2690, 7513, 267, 972, 616, 1114, 2010, 2139, 936, 519, 4831, 269, 1403, 2576, 568, 2921, 513, 3075, 899, 2398, 559, 846, 322, 267, 715, 1410, 1756, 610, 2098, 656, 659, 602, 1225, 2125, 3679, 267, 930, 2010, 540, 7513, 616, 711, 2469, 547, 581, 12842, 1134, 1317, 519, 7513, 2115, 519, 3679, 563, 28490, 596, 723, 7513, 19941, 267, 799, 568, 519, 14949, 4528, 267, 1287, 707, 7181, 2115, 547, 723, 3679, 865, 596, 991, 547, 581, 4189, 609, 621, 269, 1411, 849, 991, 547, 711, 581, 593, 835, 540, 1346, 5061, 267, 865, 952, 596, 616, 593, 835, 540, 1346, 5061, 1287, 596, 1058, 6467, 547, 7513, 3632, 3433, 267, 799, 568, 513, 2370, 811, 7199, 855, 621, 3085, 1406, 7048, 593, 3679, 585, 10338, 2223, 1284, 559, 663, 1767, 563, 2467, 616, 2027, 6381, 950, 6171, 19518, 616, 2938, 609, 513, 4387, 779, 5868, 610, 2978, 4255, 267, 18582, 5459, 543, 1284, 559, 663, 1767, 563, 2171, 559, 663, 1767, 6171, 19518, 666, 581, 9571, 689, 2978, 960, 267, 865, 1004, 12582, 1406, 7058, 563, 294, 756, 5459, 1767, 7189, 1058, 2307, 741, 2550, 1018, 8324, 789, 616, 2921, 538, 1840, 547, 519, 6527, 563, 294, 756, 5459, 7074, 602, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 21560, 6527, 269, 4675, 6123, 2887, 896, 519, 26678, 26929, 2657, 543, 4065, 2920, 563, 28490, 596, 3580, 5469, 593, 1169, 6171, 267, 972, 779, 2469, 547, 581, 513, 2370, 771, 25068, 269, 2048, 4322, 6898, 723, 711, 1044, 11117, 676, 519, 15111, 269, 901, 1587, 568, 711, 5497, 547, 13209, 267, 1521, 267, 10826, 610, 2061, 1022, 2068, 10200, 5272, 6171, 3081, 602, 269, 1358, 2461, 711, 14931, 269, 589, 2603, 540, 2053, 267, 621, 779, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11769, 2306, 269, 901, 1259, 596, 666, 1118, 2386, 602, 596, 723, 2614, 16306, 585, 519, 5347, 5663, 540, 519, 2472, 269, 623, 3420, 1162, 27439, 3455, 568, 513, 27439, 3455, 602, 5638, 782, 8852, 1644, 547, 16306, 602, 707, 1870, 11769, 2306, 563, 26835, 909, 547, 4266, 593, 519, 5767, 8051, 4388, 543, 2866, 454, 2252, 596, 1413, 693, 519, 1344, 602, 779, 6592, 538, 606, 8051, 4760, 543, 606, 8051, 24432, 267, 513, 2603, 540, 621, 1131, 1413, 519, 1482, 269, 1809, 972, 616, 930, 3604, 1063, 875, 519, 1079, 5638, 1599, 865, 621, 779, 1271, 547, 1174, 875, 789, 960, 1927, 269, 5015, 267, 7429, 4760, 1141, 8852, 616, 6592, 538, 26567, 1931, 607, 789, 2049, 269, 4935, 267, 596, 2594, 8852, 538, 519, 24432, 676, 1362, 4328, 873, 896, 1585, 2272, 9843, 547, 799, 789, 9305, 563, 14197, 4260, 11594, 5288, 269, 4937, 27439, 7970, 281, 1323, 11137, 454, 2414, 1265, 811, 17074, 543, 5796, 593, 9477, 1507, 1870, 9276, 267, 1294, 938, 3102, 1592, 540, 1507, 1870, 13258, 17074, 269, 6423, 938, 1863, 1507, 1870, 1433, 15209, 2200, 585, 3606, 1433, 15209, 2645, 269, 6423, 938, 4015, 540, 9185, 8051, 17074, 585, 3606, 8051, 2200, 269, 1280, 3606, 2489, 24432, 5829, 2200, 267, 1294, 938, 3102, 1592, 540, 7443, 543, 2530, 630, 303, 261, 299, 264, 17074, 585, 1507, 1870, 563, 14611, 9577, 540, 519, 4937, 27439, 3455, 454, 288, 2489, 24432, 10959, 666, 948, 596, 2594, 543, 6895, 707, 2883, 1239, 547, 2327, 707, 3181, 1080, 543, 17099, 2992, 707, 6578, 269, 901, 10959, 568, 4998, 585, 8051, 2319, 2818, 945, 991, 513, 3102, 2594, 540, 782, 2883, 8852, 269, 2422, 713, 10959, 547, 2327, 606, 4977, 2594, 540, 782, 1899, 268, 14403, 8852, 585, 1022, 4760, 7127, 610, 11834, 1826, 563, 2414, 3666, 707, 2489, 24432, 267, 707, 17099, 543, 3181, 1080, 1590, 581, 3160, 269, 769, 519, 2250, 267, 519, 2489, 24432, 568, 2356, 5423, 2663, 4266, 1310, 519, 4760, 7127, 729, 1500, 269, 898, 568, 2356, 2944, 1354, 8600, 4693, 3666, 543, 2883, 6898, 563, 14197, 27439, 3455, 281, 12791, 267, 19032, 267, 543, 6201, 454, 2690, 1383, 267, 519, 14222, 11033, 1996, 14273, 267, 11033, 547, 581, 6394, 689, 5561, 267, 3092, 269, 4935, 267, 707, 19833, 27439, 3455, 13475, 2143, 1344, 827, 5370, 4421, 547, 707, 5561, 269, 1280, 1383, 267, 2161, 596, 6718, 6151, 1570, 689, 707, 29449, 5261, 7433, 7085, 2429, 519, 1032, 269, 22353, 267, 782, 519, 6666, 610, 5491, 6718, 8852, 9411, 883, 609, 5261, 7433, 7085, 1131, 581, 6592, 896, 519, 2272, 540, 5261, 7433, 7085, 269, 6333, 519, 1739, 1383, 1141, 513, 2754, 11392, 513, 1269, 272, 267, 1822, 8569, 689, 513, 7817, 585, 922, 2533, 269, 0, 301, 4669, 1005, 2672, 764, 28684, 281, 589, 18043, 6651, 547, 4826, 532, 454, 22296, 764, 28684, 723, 6591, 10373, 8560, 5063, 1813, 547, 741, 2189, 5898, 543, 1970, 31720, 5199, 2470, 269, 1452, 14388, 2371, 616, 1634, 585, 741, 2702, 547, 4558, 1216, 538, 741, 15123, 1506, 3762, 267, 11710, 267, 610, 5072, 267, 3850, 873, 547, 8853, 538, 25545, 2175, 269, 1717, 267, 5103, 741, 10980, 2389, 16260, 10639, 267, 621, 779, 2629, 547, 1174, 519, 1697, 1259, 547, 1216, 13151, 28684, 547, 2327, 741, 1072, 543, 15325, 269, 769, 713, 3391, 267, 649, 3580, 2263, 519, 1898, 2553, 543, 9270, 585, 14450, 13151, 28684, 267, 16779, 596, 547, 1831, 513, 3811, 30362, 2385, 563, 6524, 11362, 883, 14450, 2553, 267, 621, 779, 1898, 547, 9787, 519, 4909, 3741, 540, 30362, 14450, 269, 2672, 764, 28684, 22132, 689, 25545, 5054, 1141, 1216, 568, 17077, 267, 865, 789, 723, 7960, 547, 7639, 10980, 2175, 269, 3683, 22476, 568, 835, 540, 519, 1034, 1455, 9073, 30362, 12439, 1118, 267, 3056, 547, 3597, 4232, 543, 824, 2152, 269, 5457, 267, 13151, 28684, 8853, 538, 1134, 1673, 20995, 3037, 543, 4782, 3819, 5712, 1063, 14450, 563, 15307, 629, 7667, 513, 5812, 14450, 8430, 568, 1898, 585, 30362, 1416, 269, 1717, 267, 621, 779, 2629, 547, 3082, 519, 1544, 1759, 593, 2188, 971, 607, 2916, 267, 4005, 267, 543, 519, 1826, 540, 30362, 269, 2672, 764, 28684, 723, 1114, 1216, 4170, 267, 865, 1620, 707, 1808, 2030, 779, 2115, 568, 2629, 269, 589, 2489, 4341, 540, 14853, 568, 547, 1216, 950, 519, 3037, 568, 25545, 267, 3335, 1169, 476, 278, 268, 1015, 2395, 269, 5457, 267, 621, 779, 1732, 547, 979, 14015, 982, 547, 936, 4248, 13151, 28684, 563, 19187, 12775, 568, 2629, 585, 30362, 1072, 269, 2672, 764, 28684, 771, 3697, 9361, 538, 1216, 8421, 3022, 3037, 585, 6905, 5712, 267, 607, 621, 666, 1291, 547, 3597, 4232, 269, 3550, 707, 17428, 723, 12775, 9475, 547, 1450, 4430, 1216, 547, 9101, 269, 3958, 267, 513, 1134, 1673, 20995, 29238, 3575, 540, 2326, 899, 829, 29411, 267, 21432, 5070, 267, 610, 533, 636, 823, 786, 2061, 1216, 689, 24715, 908, 1472, 519, 5072, 563, 22296, 764, 28684, 723, 1114, 1216, 4170, 1282, 1114, 12405, 269, 2672, 764, 28684, 3335, 2154, 811, 7928, 14450, 538, 15911, 3275, 1813, 547, 2799, 21381, 543, 2208, 269, 17957, 267, 1282, 519, 26862, 1974, 538, 5162, 267, 13151, 28684, 991, 1447, 1216, 607, 741, 2208, 25815, 1524, 269, 17797, 707, 14450, 8430, 9935, 547, 13918, 891, 12119, 2242, 563, 8139, 519, 4191, 540, 936, 22476, 543, 14015, 532, 568, 4105, 585, 30362, 1416, 269, 3683, 342, 23926, 13151, 28684, 949, 4159, 1660, 1506, 267, 6037, 1075, 550, 3762, 267, 3597, 4232, 267, 610, 3109, 2989, 11710, 269, 2201, 519, 824, 1688, 267, 896, 342, 23926, 13151, 28684, 949, 723, 695, 337, 633, 961, 539, 3762, 610, 2408, 23743, 1194, 269, 16424, 519, 2030, 779, 5920, 543, 15268, 707, 14450, 6296, 786, 948, 2226, 922, 1072, 563, 276, 11790, 2334, 18748, 1215, 10705, 1411, 10261, 547, 4826, 2672, 764, 28684, 454, 7197, 13151, 28684, 1332, 899, 21173, 538, 519, 5614, 543, 4832, 267, 865, 596, 3580, 991, 547, 1216, 873, 811, 1419, 1282, 741, 3742, 3395, 4005, 269, 1358, 7485, 1216, 856, 540, 519, 3037, 26526, 607, 789, 1118, 1007, 11710, 267, 3762, 267, 5072, 543, 18742, 269, 1411, 949, 1216, 873, 1614, 2053, 513, 3018, 267, 4470, 593, 2175, 899, 1769, 543, 2837, 269, 769, 519, 5162, 267, 13151, 28684, 979, 26862, 269, 19663, 13515, 267, 865, 596, 3580, 1152, 991, 547, 1216, 873, 2899, 610, 7466, 585, 519, 3003, 4005, 269, 2290, 540, 519, 15864, 2081, 547, 6146, 513, 30362, 568, 547, 2285, 621, 1932, 1454, 1216, 538, 519, 5162, 267, 865, 1394, 2476, 689, 707, 14450, 666, 689, 5437, 547, 4728, 269, 2913, 707, 30362, 3207, 538, 12560, 818, 7190, 563, 299, 24147, 11149, 991, 547, 581, 530, 23926, 1447, 1419, 1317, 789, 723, 811, 3037, 602, 6585, 7509, 3476, 269, 9540, 267, 13719, 11149, 1590, 581, 530, 23926, 811, 4749, 1317, 519, 3037, 1743, 625, 856, 5488, 563, 8649, 870, 540, 8752, 454, 22296, 764, 28684, 602, 1205, 476, 1015, 610, 811, 3108, 540, 2407, 3141, 991, 811, 1216, 982, 1346, 609, 1447, 1769, 269, 13575, 267, 9205, 2371, 991, 811, 1216, 982, 11255, 3283, 1317, 789, 1205, 811, 3141, 543, 616, 6534, 547, 811, 4101, 2175, 563, 5522, 1218, 538, 1164, 11195, 543, 16830, 5210, 786, 991, 1447, 7928, 14450, 982, 2371, 538, 3905, 267, 3819, 16374, 1317, 789, 3580, 2226, 7509, 585, 3476, 269, 3657, 707, 13151, 28684, 593, 513, 1273, 1470, 538, 2407, 3141, 538, 27925, 286, 4643, 593, 14450, 3232, 269, 3657, 789, 267, 538, 851, 267, 3141, 593, 513, 16064, 538, 5842, 12770, 286, 1411, 1152, 949, 991, 547, 1216, 2899, 1169, 3018, 610, 1079, 563, 8253, 782, 13151, 28684, 723, 519, 3169, 1216, 4170, 269, 7756, 30362, 2249, 543, 8677, 723, 7960, 547, 8853, 538, 1808, 5054, 267, 543, 741, 1216, 2115, 666, 4268, 14320, 269, 2368, 13151, 28684, 267, 899, 519, 12054, 704, 341, 643, 636, 610, 661, 3832, 591, 807, 2249, 267, 723, 2362, 1216, 4170, 543, 4324, 689, 811, 7928, 14450, 269, 2201, 519, 824, 1688, 267, 10980, 2389, 26985, 8677, 971, 607, 3397, 1511, 610, 8316, 2180, 807, 2154, 1447, 2834, 14450, 269, 3194, 532, 519, 1808, 2115, 540, 707, 30362, 2249, 786, 3391, 596, 538, 8159, 741, 4998, 14450, 4908, 269, 0, 7197, 21427, 616, 5432, 609, 519, 1523, 540, 606, 2011, 14555, 1062, 585, 741, 2777, 269, 1358, 1174, 602, 789, 723, 835, 543, 602, 621, 1568, 547, 3579, 1524, 519, 11623, 538, 741, 1753, 269, 1717, 267, 3564, 602, 267, 711, 1082, 21427, 2965, 1174, 519, 9238, 540, 875, 741, 8028, 1062, 13333, 269, 18641, 267, 649, 2461, 2469, 547, 948, 2312, 909, 602, 1702, 7934, 2221, 676, 4687, 930, 540, 519, 1034, 1455, 8028, 1062, 9238, 602, 596, 1058, 917, 607, 513, 1753, 26782, 563, 763, 6301, 22020, 454, 4263, 741, 11953, 5934, 267, 1753, 9023, 1949, 786, 723, 1614, 1292, 7344, 3334, 269, 1452, 1331, 513, 26468, 267, 513, 7873, 27660, 16509, 267, 543, 606, 18493, 1807, 16509, 269, 589, 6219, 1572, 14023, 656, 568, 8246, 2429, 782, 1614, 3334, 547, 3489, 4411, 2011, 585, 707, 2777, 269, 901, 6219, 1568, 1454, 899, 14495, 1216, 267, 1141, 621, 786, 2490, 689, 513, 5277, 547, 513, 3905, 11517, 950, 621, 25309, 3002, 563, 1692, 6496, 606, 8028, 3590, 4518, 888, 2005, 782, 6238, 609, 707, 27687, 520, 269, 1411, 3580, 1305, 707, 27687, 520, 547, 513, 1808, 2837, 269, 24269, 707, 27687, 520, 12823, 602, 519, 2837, 3330, 540, 707, 1753, 568, 28555, 982, 707, 1305, 2837, 267, 621, 786, 5365, 547, 707, 2011, 14555, 1062, 547, 2490, 593, 269, 5794, 689, 519, 11623, 538, 707, 2777, 786, 581, 7142, 883, 707, 13811, 532, 543, 883, 707, 11255, 2011, 7829, 1770, 563, 1607, 3636, 2011, 568, 27762, 2066, 519, 18493, 1807, 27810, 269, 1452, 27810, 616, 4904, 609, 513, 7463, 6219, 1634, 607, 14023, 656, 269, 1306, 519, 2011, 22613, 519, 18493, 1807, 27810, 267, 3002, 786, 581, 15504, 856, 540, 519, 2011, 543, 12842, 883, 519, 14023, 656, 269, 901, 786, 2490, 519, 14023, 656, 689, 513, 4411, 5277, 547, 513, 3905, 11517, 269, 634, 1631, 4411, 2011, 786, 581, 6933, 730, 1394, 883, 519, 11623, 2429, 707, 1753, 563, 763, 3905, 11517, 14023, 656, 786, 581, 29253, 547, 707, 9205, 8028, 1770, 3842, 519, 26468, 269, 1306, 519, 14023, 656, 13788, 519, 9205, 7873, 27660, 27810, 267, 28198, 786, 1376, 547, 2049, 269, 901, 786, 1450, 519, 3002, 16290, 3330, 519, 11517, 14023, 656, 547, 26632, 622, 883, 519, 2011, 3544, 269, 634, 6967, 14023, 656, 568, 5828, 1394, 883, 513, 5277, 1533, 543, 6238, 2469, 998, 519, 18493, 1807, 16509, 782, 936, 1586, 563, 23338, 1242, 5288, 269, 667, 10631, 1652, 7010, 454, 2467, 616, 1079, 1292, 2010, 540, 9023, 1949, 602, 596, 666, 723, 8704, 538, 707, 2777, 269, 589, 21438, 9023, 1062, 568, 3335, 519, 1034, 2442, 269, 898, 786, 8415, 519, 1482, 13811, 1740, 602, 707, 19460, 4867, 1281, 547, 1847, 2011, 2429, 707, 1753, 269, 901, 1062, 786, 723, 835, 11255, 1688, 2401, 1770, 609, 519, 18493, 1807, 27810, 543, 835, 9205, 1770, 609, 519, 7873, 27660, 27810, 563, 288, 13811, 1652, 1062, 786, 960, 1360, 13974, 547, 513, 21438, 2011, 14555, 1062, 267, 4849, 621, 3085, 1406, 723, 1022, 13811, 1740, 269, 3962, 4055, 786, 723, 922, 1378, 11255, 2011, 1688, 2401, 1770, 602, 13462, 547, 519, 1292, 9205, 1770, 563, 8139, 707, 9023, 1062, 1732, 786, 1450, 596, 547, 711, 1152, 2196, 621, 811, 7561, 855, 849, 2285, 596, 811, 4708, 540, 2247, 269, 1403, 596, 2461, 4867, 7680, 8373, 609, 707, 9023, 1062, 538, 667, 1054, 534, 267, 9338, 267, 1287, 581, 2386, 547, 3346, 11788, 25256, 2221, 585, 8028, 7816, 269, 0, 1432, 1411, 10261, 547, 5700, 6168, 606, 7486, 20134, 4530, 693, 476, 1015, 1284, 4060, 454, 5475, 2502, 538, 796, 31695, 3023, 610, 4687, 19271, 609, 2576, 945, 949, 723, 7486, 267, 519, 2219, 540, 7486, 666, 581, 31029, 269, 898, 781, 24669, 602, 596, 949, 1745, 14221, 543, 18516, 540, 1018, 547, 798, 1985, 269, 4197, 519, 7486, 4152, 1184, 543, 6616, 1018, 781, 3238, 538, 606, 7486, 2942, 1449, 693, 476, 1015, 4374, 666, 948, 547, 13468, 930, 540, 707, 12194, 563, 1432, 1772, 606, 7486, 20134, 4530, 888, 2304, 7486, 2942, 1449, 568, 513, 1449, 602, 30397, 519, 4527, 540, 7486, 12489, 538, 513, 1268, 781, 1973, 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 ]
[ 519, 7996, 602, 627, 31295, 1249, 542, 519, 2278, 568, 25091, 547, 538, 519, 4655, 540, 8832, 8581, 267, 568, 1631, 2469, 998, 607, 922, 2818, 5884, 543, 7985, 269, 634, 7996, 23327, 519, 25711, 602, 1346, 267, 1869, 9800, 267, 616, 7231, 609, 607, 741, 6068, 3283, 5884, 563, 763, 2034, 588, 24521, 5956, 609, 519, 3239, 540, 1261, 2033, 344, 779, 4651, 968, 322, 11538, 6100, 630, 3891, 2033, 344, 476, 275, 264, 634, 4651, 267, 968, 19136, 13343, 27213, 2223, 263, 3891, 2033, 344, 476, 277, 264, 561, 1742, 606, 3239, 540, 3532, 267, 2178, 812, 540, 1906, 1913, 267, 3274, 1813, 547, 875, 646, 8292, 602, 519, 4651, 968, 17495, 2141, 3144, 1187, 5644, 538, 1193, 728, 892, 630, 3891, 2033, 344, 476, 276, 1040, 901, 2982, 602, 8262, 13343, 27213, 568, 2356, 513, 2707, 540, 2483, 1862, 1647, 540, 1957, 4429, 1862, 755, 723, 5433, 269, 1703, 568, 606, 3693, 540, 8710, 585, 519, 5467, 2542, 621, 585, 519, 1101, 942, 849, 267, 950, 789, 3605, 945, 814, 5747, 267, 543, 602, 646, 729, 513, 6071, 2185, 1296, 2025, 269, 589, 6609, 540, 606, 17608, 267, 607, 1453, 616, 3622, 17814, 607, 17608, 543, 609, 513, 2631, 540, 9420, 5132, 269, 634, 2669, 1223, 2901, 581, 602, 540, 513, 676, 1056, 518, 945, 5949, 547, 581, 9575, 538, 3444, 13933, 610, 519, 25337, 23038, 602, 616, 1031, 538, 519, 8832, 8581, 4655, 267, 855, 811, 982, 2693, 267, 922, 2495, 547, 1397, 602, 1169, 13680, 1399, 6770, 827, 513, 2417, 1305, 3724, 547, 519, 4655, 267, 543, 519, 3661, 568, 519, 3020, 13680, 1399, 269, 634, 2669, 568, 1018, 568, 538, 602, 4216, 267, 543, 5103, 875, 1279, 519, 4655, 814, 986, 3022, 267, 621, 568, 3254, 1934, 607, 513, 1126, 267, 547, 5310, 24808, 602, 519, 3661, 540, 602, 1249, 542, 568, 1869, 538, 922, 2038, 5933, 543, 602, 952, 811, 798, 711, 1491, 909, 519, 2014, 267, 519, 3661, 786, 5884, 2059, 609, 1346, 593, 519, 25071, 563, 2414, 1289, 968, 300, 573, 31645, 16505, 892, 513, 1650, 540, 519, 2669, 540, 513, 2185, 1032, 2025, 568, 9513, 2110, 519, 4655, 27057, 2469, 593, 538, 1261, 2033, 344, 779, 8832, 8581, 269, 9282, 267, 646, 949, 711, 21078, 972, 1631, 267, 922, 2484, 8757, 6286, 593, 1346, 945, 2899, 759, 3660, 972, 616, 796, 19960, 514, 762, 269, 589, 1360, 8909, 4062, 827, 513, 1360, 11786, 543, 12699, 4655, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 590, 2946, 600, 639, 1261, 2033, 344, 781, 11068, 31645, 16505, 590, 2946, 600, 639, 1261, 2033, 344, 781, 834, 300, 573, 31645, 16505, 257, 568, 1851, 519, 1906, 9954, 602, 723, 14156, 6410, 803, 269, 634, 5856, 3096, 1082, 2553, 1519, 1138, 3796, 267, 23199, 543, 4190, 30827, 3903, 547, 6655, 519, 1474, 3691, 543, 3765, 30514, 3510, 540, 1010, 7015, 781, 2669, 269, 769, 713, 1557, 594, 993, 2469, 547, 20272, 519, 1893, 540, 519, 6648, 543, 1865, 267, 538, 811, 1469, 267, 519, 2553, 1031, 547, 6655, 519, 1483, 18354, 540, 519, 3510, 269, 834, 300, 573, 31645, 16505, 257, 568, 513, 1360, 2375, 633, 6648, 538, 799, 590, 2946, 600, 639, 1261, 2033, 344, 9356, 593, 519, 2150, 830, 569, 27757, 540, 1010, 2370, 7015, 18332, 543, 6941, 1018, 729, 2469, 998, 1010, 2247, 693, 602, 942, 2807, 1496, 15912, 281, 11068, 12910, 16505, 1530, 600, 639, 1261, 2033, 344, 2639, 5908, 276, 1913, 630, 276, 269, 274, 3817, 994, 268, 11068, 31645, 16505, 676, 1530, 600, 639, 1261, 2033, 344, 269, 1412, 300, 573, 31645, 16505, 262, 676, 519, 10564, 1530, 600, 639, 1261, 2033, 344, 568, 827, 513, 2123, 1995, 602, 646, 814, 11402, 269, 898, 9388, 609, 519, 2152, 540, 1272, 543, 2669, 538, 513, 1920, 543, 849, 875, 1114, 1004, 11883, 269, 634, 2140, 693, 1101, 5267, 602, 519, 6648, 568, 2469, 547, 581, 827, 513, 9702, 267, 855, 607, 596, 1205, 883, 519, 6648, 2417, 267, 596, 29311, 602, 519, 2140, 814, 513, 2484, 4514, 543, 18632, 2495, 1862, 769, 519, 1101, 588, 24521, 267, 649, 1451, 602, 1530, 600, 639, 1261, 2033, 344, 568, 538, 513, 2852, 7210, 15922, 7996, 547, 581, 13603, 909, 269, 1411, 1205, 19035, 950, 646, 568, 1373, 13603, 909, 1010, 16705, 267, 799, 1223, 5815, 602, 1945, 3978, 814, 5949, 2807, 1496, 15912, 281, 2296, 9085, 2639, 280, 866, 1913, 630, 273, 269, 277, 3817, 994, 268, 11068, 31645, 16505, 676, 1530, 600, 639, 1261, 2033, 344, 18391, 1101, 693, 519, 6648, 2854, 676, 1530, 600, 639, 1261, 2033, 344, 621, 28420, 513, 1360, 3532, 543, 2312, 5048, 269, 594, 7058, 602, 621, 568, 1305, 538, 8581, 267, 646, 3947, 10881, 540, 713, 2429, 519, 6648, 543, 607, 646, 568, 8385, 689, 8581, 594, 1589, 602, 621, 568, 513, 2922, 16912, 1632, 547, 1118, 269, 11068, 31645, 2736, 606, 11212, 8909, 6648, 269, 769, 11068, 2165, 2736, 1530, 600, 639, 1261, 2033, 344, 781, 6645, 540, 519, 13249, 2669, 540, 1010, 7820, 7015, 267, 945, 729, 8909, 569, 7166, 269, 1530, 600, 639, 1261, 2033, 344, 6257, 538, 519, 6648, 540, 1018, 646, 1705, 602, 1554, 950, 646, 781, 7820, 7015, 729, 7166, 2807, 1496, 15912, 281, 14430, 2639, 14862, 273, 1913, 630, 274, 269, 276, 3817, 994, 268, 11068, 3856, 16505, 676, 1530, 600, 639, 1261, 2033, 344, 594, 2893, 782, 6640, 538, 519, 2852, 7210, 15922, 25478, 30518, 5679, 2454, 5049, 547, 513, 2673, 269, 2311, 1079, 522, 262, 22018, 938, 12543, 22755, 803, 1753, 269, 769, 519, 11188, 577, 594, 1558, 1250, 4651, 24986, 734, 1261, 1185, 2141, 3144, 1187, 5644, 538, 1010, 1193, 728, 734, 1656, 8262, 13343, 27213, 6031, 621, 729, 513, 2182, 9514, 269, 634, 4816, 1071, 334, 539, 543, 561, 13774, 1117, 543, 4224, 539, 519, 533, 1090, 1879, 594, 3357, 538, 267, 543, 594, 729, 19849, 21724, 1635, 2025, 2367, 7555, 909, 547, 21199, 1250, 1688, 1656, 2995, 803, 789, 941, 834, 7717, 787, 585, 1250, 8373, 2437, 1733, 7371, 619, 5483, 21046, 594, 729, 519, 7800, 652, 267, 589, 3118, 693, 1153, 267, 607, 1250, 3993, 4371, 1250, 1688, 769, 1200, 338, 543, 4172, 326, 1117, 856, 14220, 15237, 1652, 521, 662, 338, 2807, 1496, 15912, 281, 14430, 2639, 30663, 1913, 630, 272, 269, 279, 3817, 994, 268, 11068, 3410, 16505, 3955, 335, 968, 300, 573, 31645, 16505, 892, 1530, 600, 639, 1261, 2033, 344, 779, 968, 300, 573, 31645, 16505, 892, 568, 606, 5393, 15237, 18191, 518, 6362, 6648, 269, 634, 1650, 5956, 543, 7475, 538, 513, 1360, 1244, 7675, 6073, 267, 1247, 538, 1063, 649, 616, 5701, 547, 513, 1360, 12667, 543, 31555, 2070, 540, 1272, 543, 875, 621, 666, 782, 2097, 547, 606, 23589, 1439, 269, 2755, 968, 300, 573, 31645, 16505, 892, 1281, 946, 2669, 547, 10544, 693, 519, 5467, 779, 2295, 12673, 267, 519, 1650, 568, 1034, 2693, 513, 6609, 540, 1272, 538, 1261, 2033, 344, 779, 5065, 8832, 8581, 267, 711, 1261, 2033, 344, 779, 1272, 267, 855, 513, 1360, 2489, 2070, 540, 1272, 538, 8832, 8581, 267, 875, 621, 666, 782, 2097, 547, 513, 1085, 872, 4221, 26699, 693, 519, 3946, 540, 1866, 543, 585, 1100, 7805, 2601, 2807, 1496, 15912, 281, 3594, 4574, 2639, 15686, 271, 1913, 630, 274, 269, 275, 3817, 994, 268, 16200, 2006, 676, 25414, 4354, 26385, 543, 11068, 3856, 2736, 676, 1530, 600, 639, 1261, 2033, 344, 4308, 609, 519, 1641, 2669, 540, 513, 1920, 4759, 269, 14424, 1312, 9954, 6029, 875, 519, 15023, 6338, 741, 5396, 269, 6904, 6648, 1705, 596, 4782, 543, 1946, 269, 2290, 540, 519, 15023, 267, 25414, 4354, 26385, 267, 568, 21730, 267, 15029, 267, 1530, 600, 639, 1261, 2033, 344, 568, 9721, 269, 1530, 600, 639, 1261, 2033, 344, 814, 6738, 909, 593, 513, 3484, 538, 8832, 8581, 609, 1010, 14552, 543, 1010, 3237, 269, 634, 2898, 1920, 814, 3144, 593, 519, 1920, 1870, 540, 8105, 267, 1247, 1530, 600, 639, 1261, 2033, 344, 4607, 606, 2069, 269, 5637, 15023, 616, 1869, 9800, 2221, 2807, 1496, 15912, 281, 2296, 9085, 2639, 14338, 274, 1913, 630, 274, 269, 276, 3817, 994, 268, 8890, 572, 519, 1079, 9954, 4934, 268, 11073, 676, 7917, 29778, 543, 11068, 12910, 16505, 676, 1530, 600, 639, 1261, 2033, 344, 676, 9878, 1880, 3007, 547, 519, 10486, 1063, 519, 1079, 9954, 1412, 11073, 268, 11073, 262, 729, 2854, 676, 7917, 29778, 945, 729, 606, 1977, 10564, 4535, 538, 476, 6942, 275, 269, 1261, 6410, 547, 519, 1715, 4789, 325, 1301, 2197, 267, 1141, 1034, 540, 1010, 9954, 941, 6273, 269, 1412, 300, 573, 12910, 16505, 262, 729, 2854, 676, 1530, 600, 639, 1261, 2033, 344, 267, 945, 729, 4535, 593, 513, 3484, 538, 10315, 700, 1180, 16093, 787, 538, 8832, 8581, 269, 634, 1079, 9954, 616, 1360, 2147, 543, 616, 1312, 827, 519, 7972, 540, 513, 1762, 1126, 267, 835, 827, 513, 7911, 945, 19380, 1010, 1688, 15029, 1210, 513, 18388, 4718, 282, 19890, 267, 646, 849, 19380, 1010, 1272, 2807, 1496, 15912, 281, 2296, 9085, 2639, 9873, 273, 1913, 630, 274, 269, 278, 3817, 994, 268, 18948, 540, 1284, 3657, 18599, 676, 5261, 6478, 29536, 543, 11068, 31645, 16505, 676, 1530, 600, 639, 1261, 2033, 344, 5261, 6478, 29536, 729, 513, 10747, 4759, 540, 519, 2296, 21434, 11873, 269, 1306, 649, 666, 1294, 689, 2542, 1010, 6648, 267, 1010, 7209, 543, 2648, 540, 2470, 568, 24829, 269, 6478, 29536, 729, 4440, 6273, 689, 1010, 909, 32523, 543, 1034, 540, 1010, 9921, 1272, 2713, 538, 519, 8235, 10588, 609, 28677, 8916, 12018, 513, 3020, 2648, 540, 2470, 269, 2368, 4766, 6478, 29536, 607, 513, 25340, 7118, 652, 543, 25442, 1589, 518, 945, 10525, 513, 1164, 3978, 1145, 10917, 1229, 609, 31926, 543, 513, 2648, 540, 16134, 2807, 1496, 15912, 281, 14430, 2639, 276, 3374, 1913, 630, 272, 269, 276, 3817, 994, 268, 24951, 7917, 29778, 781, 4934, 4934, 543, 1530, 600, 639, 1261, 1415, 781, 11068, 12910, 16505, 3718, 24764, 31932, 634, 1641, 540, 1312, 9954, 568, 519, 2150, 830, 569, 2669, 540, 1762, 1004, 538, 13249, 10913, 2864, 982, 19210, 269, 5899, 1052, 569, 1312, 8695, 616, 7166, 676, 12227, 267, 519, 7911, 538, 834, 11073, 267, 4934, 268, 262, 676, 513, 7344, 4718, 543, 519, 7911, 538, 834, 300, 573, 31645, 16505, 257, 676, 513, 1286, 269, 5637, 9954, 4766, 519, 6547, 540, 519, 3885, 547, 519, 7972, 1142, 540, 519, 3885, 32232, 3833, 8335, 269, 5637, 9954, 2911, 827, 519, 7972, 540, 1762, 8695, 945, 723, 4587, 610, 7820, 16254, 282, 835, 814, 693, 2547, 835, 11078, 267, 1247, 519, 824, 814, 606, 9632, 7015, 543, 513, 7820, 24107, 2807, 1496, 15912, 281, 14430, 2639, 15647, 274, 1913, 630, 275, 269, 276, 3817, 994, 268, 769, 713, 1557, 594, 786, 581, 9236, 1614, 1530, 600, 639, 1261, 2033, 344, 9954, 649, 6743, 693, 538, 1362, 891, 616, 1572, 267, 968, 10287, 518, 5608, 968, 300, 573, 3856, 16505, 892, 543, 267, 968, 14707, 3101, 6100, 1703, 616, 3604, 607, 1134, 607, 10486, 267, 519, 10486, 1331, 281, 789, 616, 782, 9954, 827, 543, 1305, 538, 1530, 600, 639, 685, 6689, 8823, 769, 1840, 267, 782, 519, 9954, 811, 610, 1447, 946, 930, 540, 519, 1482, 19621, 3457, 543, 2553, 899, 281, 593, 25959, 641, 4141, 807, 543, 930, 540, 519, 1482, 3197, 2408, 538, 782, 1614, 9954, 971, 607, 899, 281, 1530, 600, 639, 630, 29538, 1345, 15069, 264, 543, 1010, 4651, 2807, 1496, 15912, 281, 3594, 1382, 4574, 2639, 4375, 274, 280, 1913, 630, 1556, 269, 274, 3817, 264, 0, 25284, 2719, 3322, 4247, 971, 607, 2079, 267, 10451, 6620, 267, 27992, 6620, 262, 6111, 543, 4199, 4616, 267, 543, 519, 6388, 540, 6620, 538, 513, 6074, 5752, 1893, 269, 634, 2707, 3009, 540, 513, 1982, 568, 2854, 538, 835, 610, 811, 5752, 4654, 269, 634, 3483, 540, 5752, 568, 547, 1265, 513, 5311, 540, 5528, 602, 786, 25117, 519, 2773, 540, 513, 4305, 585, 6061, 513, 2016, 1966, 269, 634, 1184, 540, 5752, 3976, 1419, 3340, 6791, 538, 1896, 1114, 5396, 267, 1519, 1702, 540, 519, 3498, 6389, 267, 7463, 6620, 267, 543, 6101, 7954, 563, 2252, 596, 7237, 4276, 15189, 543, 8572, 547, 4452, 4199, 281, 3301, 270, 822, 551, 298, 30470, 12459, 541, 950, 946, 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 ]
[ 519, 1152, 25012, 14189, 269, 634, 15374, 540, 519, 25012, 14189, 561, 335, 28558, 267, 4558, 267, 543, 5305, 10399, 883, 519, 18072, 269, 634, 10399, 1287, 2951, 998, 519, 1560, 543, 1463, 519, 2534, 540, 519, 1560, 779, 2281, 563, 763, 11178, 14189, 2306, 1079, 11178, 10399, 267, 2468, 1675, 18333, 1258, 710, 630, 307, 274, 264, 543, 16815, 6918, 514, 630, 307, 275, 1040, 570, 274, 568, 1500, 689, 570, 275, 543, 568, 519, 811, 3742, 9449, 267, 2047, 7133, 519, 8031, 563, 1320, 8557, 10399, 1860, 10307, 267, 2634, 1646, 267, 543, 7244, 269, 9839, 543, 8401, 1062, 3252, 267, 1560, 2837, 267, 4887, 4222, 267, 2960, 3819, 1145, 267, 18492, 9979, 267, 2597, 267, 543, 8501, 2157, 269, 774, 8557, 9449, 2504, 568, 14931, 676, 11178, 3613, 574, 6819, 9449, 630, 4811, 295, 1070, 799, 568, 1500, 676, 519, 30783, 14189, 538, 519, 2634, 269, 1879, 11178, 9449, 2157, 538, 519, 1973, 616, 1970, 267, 519, 30783, 13847, 811, 570, 17239, 269, 1879, 11178, 9449, 2157, 616, 1164, 267, 519, 30783, 20781, 676, 13302, 570, 17239, 2504, 269, 570, 17239, 623, 15856, 3202, 14189, 774, 8557, 570, 274, 6874, 275, 634, 11178, 779, 2504, 540, 11178, 10399, 1765, 307, 274, 543, 570, 275, 28934, 14931, 676, 11178, 3613, 574, 6819, 9449, 630, 4811, 295, 1070, 799, 568, 1500, 676, 519, 30783, 14189, 563, 1432, 3123, 15214, 628, 21633, 888, 288, 3099, 540, 2175, 666, 2014, 5409, 628, 21633, 269, 3400, 1407, 685, 2068, 267, 606, 16991, 4524, 267, 568, 519, 1034, 1455, 2014, 540, 5409, 628, 21633, 269, 898, 3123, 12489, 547, 12954, 519, 11178, 547, 694, 4740, 1932, 1454, 9449, 269, 3400, 1407, 685, 2068, 4386, 811, 1419, 538, 2021, 982, 538, 2367, 269, 898, 11148, 547, 2196, 538, 3885, 267, 799, 5267, 513, 4719, 3095, 269, 1411, 1058, 2995, 707, 4387, 952, 707, 14077, 723, 1185, 519, 2783, 563, 8448, 3123, 540, 5409, 628, 21633, 1331, 912, 268, 4430, 22752, 267, 513, 1883, 12146, 538, 570, 275, 543, 570, 274, 454, 268, 11178, 4345, 267, 610, 6553, 540, 519, 11178, 267, 799, 3123, 570, 275, 543, 570, 274, 547, 13451, 856, 540, 519, 14189, 454, 268, 12970, 540, 519, 30124, 610, 1449, 525, 454, 268, 22480, 12970, 540, 519, 11178, 610, 30783, 14189, 454, 268, 1804, 5666, 540, 25543, 1675, 18333, 1258, 710, 3144, 998, 8192, 9360, 610, 6646, 454, 1432, 616, 519, 2589, 540, 5409, 628, 21633, 888, 11947, 5666, 540, 570, 275, 267, 570, 274, 267, 610, 1312, 666, 2014, 606, 23494, 1164, 10894, 2557, 269, 901, 568, 1572, 513, 5409, 10894, 1533, 269, 1879, 538, 513, 5409, 10894, 1533, 267, 596, 949, 1995, 513, 4028, 2295, 2557, 267, 11506, 1973, 2604, 267, 543, 1688, 12152, 832, 269, 1411, 949, 849, 17570, 513, 2603, 543, 1020, 513, 1970, 10892, 585, 3002, 269, 15214, 628, 21633, 666, 2014, 811, 7928, 15108, 5322, 267, 2597, 2530, 267, 543, 267, 538, 2021, 267, 12150, 18492, 9979, 563, 14106, 4601, 267, 519, 11178, 14189, 3294, 666, 2220, 749, 883, 513, 979, 3438, 267, 799, 666, 581, 2901, 27101, 610, 835, 21758, 269, 2659, 4064, 949, 849, 2408, 3833, 7986, 267, 799, 568, 513, 1129, 540, 608, 2684, 11209, 21573, 267, 513, 2783, 602, 779, 1644, 547, 3400, 1407, 685, 2068, 563, 8448, 2589, 540, 5409, 628, 21633, 1331, 912, 268, 2799, 14031, 454, 268, 17418, 547, 13404, 454, 268, 12150, 9839, 18566, 454, 268, 7411, 12008, 454, 268, 5386, 267, 28221, 4552, 454, 268, 4552, 2530, 454, 268, 15353, 543, 13481, 454, 268, 6089, 1646, 538, 2367, 454, 763, 1739, 2589, 2154, 7525, 2564, 3007, 912, 268, 26032, 540, 7362, 454, 268, 2530, 540, 9637, 454, 268, 3728, 267, 12150, 2295, 2557, 454, 29730, 628, 21633, 666, 849, 2014, 693, 7434, 27417, 20746, 267, 513, 5906, 2855, 15219, 8926, 602, 666, 1291, 547, 18116, 267, 607, 1134, 607, 7249, 24304, 2295, 5821, 563, 8005, 568, 2693, 547, 1020, 15214, 628, 21633, 888, 18131, 616, 1079, 547, 476, 1015, 2053, 811, 2693, 982, 2367, 547, 1020, 5409, 628, 21633, 563, 26807, 2188, 666, 2333, 519, 8458, 540, 3384, 11178, 4713, 269, 4658, 949, 991, 811, 2834, 4152, 952, 789, 454, 1892, 723, 1185, 513, 11178, 1966, 1354, 267, 971, 607, 979, 3438, 610, 11178, 6391, 454, 1892, 723, 513, 1920, 1686, 540, 11178, 2068, 454, 1892, 723, 829, 5371, 1190, 17350, 267, 513, 645, 1321, 10638, 282, 1826, 476, 272, 3987, 282, 610, 3119, 29427, 1202, 340, 11797, 267, 513, 17441, 4524, 454, 1892, 3548, 1804, 5666, 540, 1426, 5627, 22752, 267, 971, 607, 737, 27626, 267, 610, 946, 22752, 935, 8877, 6527, 971, 607, 993, 1675, 541, 821, 267, 513, 2295, 6646, 454, 1892, 616, 4587, 982, 2085, 476, 2568, 454, 1892, 941, 9176, 610, 9447, 513, 4816, 1369, 519, 2250, 476, 277, 3275, 454, 17751, 7838, 309, 3633, 2975, 17886, 11246, 5442, 670, 24688, 2207, 8025, 312, 4629, 2839, 26113, 454, 2252, 596, 616, 5275, 30847, 2067, 2126, 3681, 1287, 25072, 545, 14319, 616, 1134, 4502, 6236, 563, 763, 25072, 545, 1899, 540, 2126, 585, 774, 8557, 2175, 5631, 2882, 556, 4472, 3496, 519, 546, 9655, 553, 538, 519, 1560, 543, 14874, 519, 3676, 4929, 13802, 610, 993, 320, 563, 10376, 14189, 538, 938, 1560, 4249, 513, 4105, 1909, 543, 15824, 513, 1808, 1599, 269, 634, 774, 8557, 14189, 568, 606, 25012, 14189, 1459, 538, 519, 8405, 609, 1079, 10981, 525, 4448, 676, 606, 568, 628, 16443, 269, 901, 14189, 538, 519, 1560, 5728, 525, 1614, 10399, 16815, 6918, 710, 20081, 275, 267, 2468, 1675, 18333, 1258, 710, 20081, 274, 267, 543, 18287, 527, 13908, 269, 1809, 950, 713, 11178, 14189, 6238, 6721, 1932, 1454, 540, 16815, 6918, 710, 9449, 621, 5012, 547, 606, 936, 5562, 11178, 3957, 607, 15214, 628, 21633, 563, 4322, 2550, 1745, 4191, 543, 2589, 899, 2597, 2530, 267, 12150, 26470, 267, 4160, 267, 4028, 26470, 267, 24852, 267, 2799, 14031, 267, 9854, 267, 2960, 30034, 267, 28221, 4552, 267, 1689, 538, 18492, 4806, 267, 4887, 8467, 267, 543, 12152, 528, 538, 1688, 543, 11263, 267, 3092, 269, 4658, 1491, 782, 24403, 2126, 585, 5409, 628, 21633, 855, 891, 11955, 616, 24631, 607, 789, 4769, 1406, 957, 593, 519, 3597, 2014, 540, 2068, 269, 5502, 540, 891, 267, 596, 1058, 1376, 609, 32318, 20940, 545, 11955, 602, 786, 2047, 957, 593, 519, 3597, 2014, 543, 2327, 707, 11178, 14189, 711, 547, 694, 4740, 4430, 16815, 6918, 710, 9449, 269, 25941, 580, 541, 327, 25072, 10418, 2488, 513, 2347, 3070, 6539, 1634, 607, 968, 29730, 628, 21633, 5516, 14173, 892, 602, 3568, 2185, 2472, 538, 621, 563, 17920, 11550, 23604, 4811, 23370, 31304, 303, 3582, 5442, 667, 4953, 288, 6579, 912, 272, 269, 774, 344, 549, 515, 531, 7305, 1206, 912, 2026, 519, 2012, 5267, 891, 14342, 616, 16909, 543, 1697, 3435, 585, 707, 5409, 628, 21633, 2783, 269, 1452, 16909, 14342, 616, 5423, 689, 519, 11922, 899, 23347, 14741, 630, 289, 659, 30249, 1395, 333, 1512, 328, 1070, 918, 778, 333, 541, 630, 289, 879, 327, 27091, 15254, 20672, 622, 1070, 717, 663, 597, 630, 290, 1961, 639, 585, 12921, 2129, 2993, 328, 1070, 1299, 1744, 644, 2871, 1375, 592, 630, 8333, 760, 1817, 320, 544, 4157, 592, 1040, 2353, 519, 11922, 538, 4999, 2226, 519, 8647, 540, 519, 11178, 14189, 563, 27775, 2105, 667, 657, 720, 281, 6875, 476, 272, 16979, 7466, 3232, 609, 3339, 1216, 563, 273, 269, 20855, 1013, 320, 541, 2871, 1375, 21343, 912, 298, 534, 1013, 320, 541, 1368, 1375, 21343, 568, 2808, 607, 519, 1655, 4915, 585, 2960, 2042, 971, 607, 16398, 267, 533, 574, 1255, 267, 1630, 2812, 267, 3092, 269, 634, 16979, 568, 7768, 540, 20855, 1013, 320, 541, 630, 289, 879, 327, 27091, 15254, 20672, 1092, 1070, 623, 2089, 8932, 630, 303, 23803, 1279, 636, 1070, 1744, 684, 628, 328, 630, 313, 532, 9200, 6815, 1400, 324, 1070, 2871, 1375, 21343, 630, 8333, 760, 1817, 320, 544, 4157, 592, 1070, 3828, 752, 630, 290, 4883, 600, 558, 636, 18410, 2643, 23307, 636, 1070, 3092, 269, 1452, 14342, 31390, 5809, 782, 519, 1614, 546, 9655, 553, 543, 2337, 538, 4227, 519, 2589, 540, 533, 574, 1255, 269, 901, 4915, 11974, 543, 13000, 1022, 2186, 540, 9402, 2208, 538, 519, 1560, 267, 7067, 540, 21385, 267, 11178, 4713, 267, 1200, 11844, 267, 15087, 543, 2860, 269, 2353, 2186, 540, 13311, 2208, 543, 5714, 1427, 550, 687, 538, 519, 1560, 568, 5701, 676, 20855, 1013, 541, 2871, 1375, 592, 543, 621, 6971, 782, 5686, 540, 561, 7927, 538, 519, 1560, 563, 27775, 2105, 667, 657, 720, 281, 6875, 476, 272, 16979, 7466, 3232, 609, 3339, 1216, 563, 274, 269, 1234, 5025, 21063, 32254, 912, 1607, 8869, 568, 1500, 909, 540, 5863, 32318, 20940, 545, 11922, 899, 695, 520, 822, 926, 267, 11849, 342, 698, 663, 3873, 267, 18665, 1088, 328, 267, 642, 611, 325, 926, 737, 663, 267, 695, 644, 327, 695, 559, 1690, 527, 267, 25697, 4875, 13520, 329, 3092, 269, 2353, 891, 11922, 948, 538, 2949, 19140, 2305, 540, 519, 1560, 543, 13976, 909, 2067, 12046, 267, 1299, 2488, 1648, 547, 519, 1560, 563, 27775, 2105, 9570, 281, 6875, 476, 1015, 575, 332, 8869, 609, 513, 4837, 540, 5144, 835, 610, 7466, 513, 1554, 563, 275, 269, 7754, 577, 338, 752, 541, 932, 1248, 320, 912, 1607, 568, 606, 32318, 20940, 545, 16185, 602, 568, 5423, 689, 5820, 899, 1744, 2863, 328, 267, 4498, 527, 13403, 267, 623, 2089, 8932, 267, 2558, 643, 761, 267, 543, 28397, 341, 1105, 8403, 20662, 3570, 269, 898, 5631, 6411, 607, 513, 966, 520, 752, 7469, 1695, 4673, 269, 8617, 946, 540, 713, 669, 1248, 320, 3947, 2500, 1267, 538, 2530, 540, 14031, 267, 26533, 1644, 547, 25985, 3461, 269, 898, 849, 2337, 538, 17212, 1324, 519, 14159, 1928, 543, 4790, 11692, 1360, 3362, 563, 27775, 2105, 667, 657, 720, 281, 6875, 476, 272, 23188, 995, 3232, 609, 3636, 1216, 693, 21557, 563, 276, 269, 10222, 330, 520, 340, 5204, 14442, 912, 763, 1292, 11922, 1031, 585, 519, 5250, 540, 713, 21360, 616, 3057, 747, 630, 303, 23803, 562, 580, 5300, 1070, 623, 2089, 8932, 630, 303, 23803, 1279, 636, 1070, 1299, 1744, 684, 628, 328, 630, 313, 532, 9200, 6815, 1400, 324, 1040, 901, 16909, 21360, 9388, 609, 519, 4191, 1299, 2589, 1644, 547, 5409, 628, 8557, 2550, 269, 898, 568, 1360, 2500, 21360, 585, 1114, 3676, 563, 27775, 2105, 667, 657, 720, 281, 6875, 476, 273, 23188, 995, 338, 7466, 3232, 269, 0, 10468, 583, 1258, 10514, 731, 618, 540, 9436, 268, 1691, 7472, 513, 23442, 543, 513, 1007, 24236, 269, 3503, 513, 7059, 3830, 585, 713, 6046, 5114, 269, 8827, 281, 8791, 476, 736, 268, 273, 281, 17437, 918, 27282, 543, 21009, 21509, 15571, 5562, 9178, 568, 1101, 19195, 563, 1692, 547, 1039, 3579, 656, 547, 5789, 1027, 525, 1350, 14596, 454, 763, 9498, 17648, 513, 24267, 4396, 7623, 540, 20879, 543, 15109, 23377, 2504, 1369, 713, 7623, 689, 519, 1739, 2959, 281, 24488, 9539, 324, 583, 1258, 630, 320, 19885, 9984, 516, 13905, 2433, 634, 13672, 5982, 19501, 689, 519, 9178, 540, 519, 20879, 630, 663, 922, 9178, 2472, 264, 666, 20006, 6046, 6547, 538, 930, 540, 519, 14402, 2609, 540, 519, 7623, 3267, 3040, 594, 517, 10514, 731, 618, 666, 3986, 1696, 577, 1184, 630, 7945, 607, 676, 14124, 519, 2627, 547, 2333, 5114, 267, 610, 676, 9427, 1696, 577, 676, 335, 20094, 264, 3040, 594, 517, 10514, 731, 618, 666, 4894, 28166, 602, 568, 606, 9940, 676, 28237, 540, 1696, 577, 1184, 630, 7945, 607, 12249, 5250, 689, 3327, 538, 3154, 610, 689, 2584, 2803, 626, 264, 763, 1079, 2489, 5686, 540, 6046, 6547, 616, 6046, 9178, 6547, 543, 6046, 18993, 16615, 6547, 269, 769, 513, 6046, 9178, 5114, 589, 6046, 5114, 602, 4386, 950, 606, 18633, 13540, 32307, 5982, 543, 568, 9927, 883, 519, 13540, 540, 835, 610, 811, 824, 2609, 1421, 849, 1572, 14599, 9178, 267, 606, 18633, 13540, 32307, 5982, 543, 568, 9927, 883, 519, 13540, 540, 835, 610, 811, 4429, 21296, 29601, 645, 1245, 281, 8074, 281, 2991, 14467, 12433, 1234, 10360, 267, 4945, 7348, 610, 7179, 1234, 10360, 547, 1294, 1216, 543, 561, 6614, 5666, 563, 285, 7348, 14318, 540, 13672, 16250, 583, 1258, 5114, 609, 772, 268, 24487, 543, 674, 268, 866, 907, 1975, 2632, 10389, 674, 2153, 630, 306, 293, 2567, 2368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 291, 1751, 538, 519, 9869, 20890, 12752, 454, 763, 24756, 2872, 568, 1634, 585, 922, 3309, 13781, 267, 609, 5520, 689, 1114, 10080, 543, 4529, 4947, 1927, 547, 1683, 11108, 16823, 2833, 269, 8836, 5385, 4249, 513, 4105, 1909, 538, 5935, 519, 2872, 267, 607, 621, 8992, 1620, 267, 10892, 267, 543, 2463, 1851, 5520, 543, 14538, 563, 2691, 5520, 689, 1114, 2686, 10080, 960, 1927, 267, 789, 3142, 2189, 5380, 543, 2093, 547, 519, 3349, 269, 901, 4763, 11942, 5876, 543, 5647, 267, 3056, 547, 1732, 1966, 9010, 543, 3375, 6194, 538, 519, 2872, 269, 5047, 267, 14538, 849, 4324, 689, 713, 2686, 5385, 267, 607, 789, 1205, 547, 1995, 1114, 9821, 267, 32345, 267, 543, 5389, 267, 7393, 741, 2949, 2951, 1995, 563, 18719, 1386, 9442, 10341, 454, 3080, 540, 519, 1713, 5383, 540, 2686, 5385, 538, 519, 24756, 2872, 568, 519, 6454, 538, 2792, 1983, 269, 1879, 5520, 2170, 609, 9164, 543, 14538, 689, 1114, 4529, 267, 789, 1451, 547, 3082, 741, 2792, 6163, 547, 2327, 2500, 1620, 563, 2690, 3236, 267, 513, 4395, 11380, 8665, 945, 25998, 609, 3486, 14538, 5781, 3587, 21295, 538, 7231, 609, 1893, 7496, 543, 2686, 16082, 269, 901, 1995, 2636, 873, 547, 1020, 2178, 14375, 1983, 543, 5838, 10531, 3028, 547, 14538, 689, 1585, 10080, 563, 13010, 267, 2686, 5385, 11942, 1893, 1565, 1851, 5520, 269, 11554, 609, 9164, 945, 3717, 1114, 4654, 7512, 2043, 547, 1831, 1617, 13308, 267, 799, 568, 3810, 6225, 538, 519, 2518, 1242, 24756, 2872, 563, 26670, 2331, 8836, 17607, 543, 11576, 6638, 454, 24292, 5385, 8992, 2686, 4656, 543, 8417, 1851, 5520, 538, 519, 24756, 2872, 269, 1635, 15025, 609, 9164, 689, 1114, 10080, 267, 2043, 2744, 513, 4514, 1620, 543, 7071, 585, 1585, 9821, 267, 5389, 267, 543, 4978, 563, 1607, 4656, 2636, 5520, 547, 1683, 5963, 8076, 543, 8537, 2833, 585, 14538, 269, 1280, 1383, 267, 513, 15678, 602, 14747, 3486, 2621, 1522, 8661, 15976, 543, 5389, 689, 1114, 4529, 267, 2870, 513, 2189, 543, 15520, 15138, 1995, 585, 14538, 269, 5047, 267, 5520, 945, 616, 15520, 6213, 666, 18783, 543, 2743, 519, 2115, 540, 3309, 14538, 267, 4180, 741, 4313, 543, 9547, 1282, 741, 3251, 563, 19102, 1078, 11154, 1464, 543, 21253, 2225, 454, 763, 24756, 2872, 568, 1634, 585, 922, 3728, 19550, 543, 2479, 19145, 2470, 269, 8836, 5385, 10114, 999, 13916, 543, 8112, 1851, 5520, 267, 3850, 873, 547, 8853, 538, 713, 6422, 1604, 563, 2691, 2043, 960, 609, 9164, 689, 1114, 4529, 267, 789, 1451, 547, 9784, 1689, 543, 1114, 2081, 540, 3257, 1919, 269, 1358, 1831, 811, 1930, 16490, 543, 1930, 547, 1007, 2093, 267, 799, 568, 2629, 538, 606, 2872, 602, 16111, 27372, 547, 2743, 519, 2115, 543, 7375, 540, 14538, 563, 12234, 267, 2686, 5385, 2337, 5520, 1020, 513, 2518, 14820, 267, 7175, 873, 547, 1174, 543, 3082, 547, 519, 2686, 7375, 540, 3486, 14538, 269, 901, 2702, 547, 8597, 547, 519, 1808, 2115, 540, 1114, 4529, 10597, 519, 10639, 540, 519, 24756, 2872, 543, 24643, 513, 6626, 2039, 540, 14538, 563, 293, 29183, 6820, 22627, 454, 24292, 5385, 538, 519, 24756, 2872, 11498, 3564, 1367, 28737, 269, 898, 11942, 2518, 4296, 543, 21769, 267, 30364, 711, 1152, 5520, 855, 849, 519, 2872, 607, 513, 2898, 563, 7437, 3486, 19014, 267, 11925, 267, 543, 2686, 5385, 3292, 267, 4648, 538, 519, 24756, 2872, 723, 519, 4316, 547, 1628, 3347, 609, 741, 13413, 689, 1472, 519, 1158, 269, 1452, 4296, 7520, 1702, 4687, 543, 519, 10073, 540, 1655, 2853, 267, 6038, 6173, 908, 519, 4441, 540, 519, 2872, 563, 11101, 267, 2686, 5385, 5932, 513, 3060, 540, 5605, 817, 611, 832, 945, 3895, 519, 2872, 543, 519, 18353, 789, 2099, 269, 1452, 5605, 817, 611, 832, 2671, 741, 2833, 543, 7840, 609, 741, 5121, 267, 19788, 811, 14666, 543, 1870, 3255, 547, 741, 9757, 4525, 563, 24292, 5385, 814, 513, 7096, 1764, 593, 519, 24756, 2872, 267, 5935, 922, 13781, 267, 5355, 2792, 1983, 267, 7393, 2686, 4656, 267, 5807, 13916, 267, 543, 14123, 2518, 4296, 269, 898, 568, 1898, 585, 2872, 4648, 547, 9784, 543, 3895, 2686, 5385, 267, 607, 621, 8309, 547, 2870, 8537, 267, 8076, 267, 543, 7415, 2833, 585, 14538, 689, 782, 936, 519, 1158, 269, 3776, 11428, 568, 547, 2709, 513, 16180, 3872, 1995, 269, 2334, 779, 1946, 649, 2303, 713, 5007, 3896, 609, 3063, 543, 4143, 1344, 827, 519, 1641, 269, 22631, 1222, 1982, 721, 320, 4179, 2517, 4178, 269, 527, 333, 25901, 2593, 10768, 272, 1606, 26236, 7146, 3491, 31810, 267, 2263, 543, 4228, 707, 1702, 2336, 25594, 707, 1565, 3460, 609, 519, 1644, 6402, 2630, 281, 0, 4462, 16225, 532, 519, 3778, 540, 21125, 779, 1530, 531, 454, 2026, 649, 1413, 883, 519, 8608, 540, 21125, 779, 1530, 531, 267, 4847, 779, 1360, 1101, 2951, 1524, 3965, 26738, 269, 901, 13840, 15197, 2030, 267, 11338, 5219, 547, 607, 12443, 12455, 23628, 267, 814, 922, 5072, 538, 2025, 16392, 2853, 269, 715, 3139, 1310, 3751, 21125, 540, 519, 6426, 267, 602, 729, 6444, 585, 1010, 1702, 267, 713, 2030, 729, 2219, 547, 4865, 17512, 881, 6051, 7060, 269, 898, 729, 1031, 14916, 538, 6093, 4457, 6646, 607, 1134, 607, 676, 7087, 4892, 585, 922, 1585, 29260, 5321, 269, 3245, 7231, 609, 11926, 547, 20993, 2489, 1072, 543, 9716, 267, 21125, 779, 1530, 531, 814, 1044, 513, 11967, 24343, 585, 5553, 563, 28403, 1944, 519, 715, 26798, 28483, 540, 21125, 779, 1530, 531, 454, 22069, 14137, 779, 1530, 531, 3884, 1406, 1175, 513, 2030, 609, 606, 10731, 4282, 267, 621, 779, 513, 9649, 540, 5567, 1932, 269, 901, 11108, 2030, 568, 4824, 609, 8324, 899, 645, 272, 267, 1368, 328, 3139, 2593, 645, 273, 267, 645, 274, 267, 645, 277, 267, 543, 589, 267, 1927, 609, 1898, 6886, 971, 607, 11379, 267, 7513, 267, 607, 1134, 607, 13101, 269, 2368, 9832, 540, 519, 2030, 10123, 2874, 540, 6225, 6878, 899, 10322, 18042, 18682, 517, 1231, 607, 1134, 607, 32064, 6950, 267, 799, 616, 1634, 585, 741, 15934, 607, 1134, 607, 4550, 13611, 3601, 269, 901, 2306, 21125, 779, 1530, 531, 513, 8192, 11344, 979, 846, 267, 21528, 547, 6830, 1518, 938, 1560, 779, 23640, 563, 26670, 3496, 16332, 640, 609, 21125, 779, 1530, 531, 454, 4415, 519, 5571, 1072, 543, 9716, 6433, 5001, 267, 5355, 4187, 814, 2097, 547, 581, 811, 2629, 982, 2479, 1354, 269, 1306, 1134, 607, 1318, 1934, 779, 1141, 21125, 779, 1530, 531, 31438, 269, 4706, 10731, 3575, 540, 8324, 267, 6886, 267, 543, 14434, 666, 3986, 938, 1560, 4761, 1062, 267, 4543, 721, 9004, 1585, 3676, 607, 1134, 607, 5563, 269, 898, 20998, 2348, 513, 2123, 1560, 31384, 267, 7683, 782, 1305, 547, 5150, 721, 689, 13818, 11371, 644, 619, 269, 1924, 267, 676, 10128, 21125, 779, 1530, 531, 883, 938, 2732, 267, 649, 666, 2285, 938, 4761, 1062, 519, 1489, 621, 3340, 563, 18719, 1324, 6226, 24304, 2657, 609, 21125, 779, 1530, 531, 454, 5194, 1713, 5413, 540, 21125, 779, 1530, 531, 568, 922, 2702, 547, 2087, 9667, 1062, 1072, 269, 898, 779, 6444, 547, 14867, 519, 12536, 8778, 267, 4543, 547, 14867, 2042, 899, 12150, 640, 267, 26533, 267, 607, 1134, 607, 6084, 3240, 24074, 269, 634, 2030, 568, 849, 2219, 547, 12954, 14000, 267, 799, 666, 581, 3730, 585, 2043, 2348, 513, 2182, 942, 609, 4057, 12536, 610, 9000, 540, 14031, 269, 898, 20998, 513, 9543, 18552, 585, 707, 17987, 267, 10970, 11868, 9636, 543, 5009, 1454, 1732, 1426, 12536, 563, 26670, 3496, 16164, 2657, 609, 21125, 779, 1530, 531, 454, 14582, 10079, 621, 610, 6382, 267, 519, 5383, 540, 21125, 779, 1530, 531, 7854, 938, 2960, 607, 1134, 269, 3509, 7064, 547, 922, 15934, 11656, 9043, 267, 713, 2030, 666, 4217, 6370, 2960, 1673, 600, 1645, 1942, 6954, 18119, 267, 4611, 538, 8902, 267, 3063, 32689, 2960, 269, 898, 779, 11338, 6956, 547, 3986, 20018, 2504, 267, 799, 666, 4217, 2087, 2960, 8112, 607, 1134, 607, 2539, 23053, 540, 10172, 269, 898, 20998, 2348, 606, 782, 5991, 1823, 25894, 2126, 267, 1318, 693, 707, 31840, 563, 306, 7739, 532, 24942, 607, 1134, 607, 17434, 2657, 609, 21125, 779, 1530, 531, 454, 4415, 2085, 267, 938, 7633, 543, 849, 10549, 1376, 547, 2322, 593, 1524, 269, 1717, 609, 21125, 779, 1530, 531, 267, 649, 666, 1683, 519, 1489, 789, 991, 269, 901, 2030, 568, 6956, 547, 3895, 5642, 1072, 543, 9716, 267, 7064, 547, 922, 3638, 7513, 1357, 1543, 269, 898, 779, 10123, 5156, 547, 723, 4550, 13611, 10821, 610, 5010, 3601, 267, 799, 666, 4217, 7413, 4745, 9636, 543, 849, 11926, 269, 898, 20998, 513, 2067, 7110, 585, 707, 7633, 543, 10549, 267, 4543, 873, 3251, 2178, 607, 1134, 607, 2635, 563, 21982, 5516, 2986, 4144, 12185, 2152, 609, 21125, 779, 1530, 531, 454, 12441, 596, 1174, 602, 21125, 779, 1530, 531, 666, 11338, 948, 6023, 3987, 286, 3194, 2090, 2303, 602, 713, 2030, 666, 948, 4383, 1973, 4006, 1377, 2157, 267, 1818, 621, 606, 3730, 7110, 585, 2043, 609, 3987, 269, 898, 20998, 2348, 513, 2067, 4006, 17120, 267, 29000, 547, 2226, 707, 1973, 7280, 5232, 538, 2638, 563, 27609, 566, 543, 29283, 540, 21125, 779, 1530, 531, 454, 3086, 602, 649, 723, 2965, 8268, 519, 5383, 540, 21125, 779, 1530, 531, 267, 1577, 779, 1865, 4010, 875, 547, 8532, 621, 269, 901, 6198, 2030, 666, 581, 10057, 538, 1114, 5686, 971, 607, 29225, 267, 5641, 338, 267, 607, 1134, 607, 21447, 269, 898, 666, 11338, 581, 1500, 946, 540, 538, 5986, 267, 4946, 606, 2189, 6492, 547, 707, 8286, 269, 3807, 7703, 538, 2247, 547, 3343, 5796, 689, 513, 1072, 3318, 1354, 4358, 1022, 1007, 8192, 7110, 563, 763, 8892, 540, 21125, 779, 1530, 531, 454, 2026, 649, 2611, 547, 2263, 519, 6051, 13300, 540, 21125, 779, 1530, 531, 267, 649, 666, 18783, 1454, 811, 2640, 547, 581, 7000, 269, 2060, 6024, 1353, 267, 713, 2030, 814, 519, 2009, 547, 1689, 938, 1505, 547, 1072, 543, 9716, 543, 9716, 269, 898, 779, 899, 513, 1071, 3200, 14951, 267, 7996, 547, 581, 20114, 607, 1134, 607, 15874, 585, 922, 6909, 7067, 5321, 563, 22069, 14137, 779, 1530, 531, 3884, 1406, 1175, 513, 2030, 609, 513, 3638, 1686, 267, 621, 779, 513, 1379, 5264, 540, 5567, 607, 1134, 269, 1323, 3606, 8037, 4324, 540, 21125, 779, 1530, 531, 568, 922, 12588, 547, 5818, 16063, 9716, 269, 5617, 10079, 621, 610, 711, 267, 519, 5383, 540, 21125, 779, 1530, 531, 8831, 547, 938, 2960, 849, 269, 9894, 596, 917, 602, 21125, 779, 1530, 531, 666, 10123, 5351, 4383, 15847, 2152, 286, 1306, 649, 3136, 547, 3605, 519, 6051, 2261, 12069, 540, 21125, 779, 1530, 531, 267, 649, 666, 2503, 1256, 3063, 2640, 547, 581, 5189, 269, 0, 23175, 561, 823, 616, 5631, 3262, 676, 1463, 3346, 609, 519, 4552, 540, 606, 1102, 6479, 1268, 269, 634, 1034, 1455, 1259, 547, 1205, 2212, 561, 823, 568, 676, 2212, 3562, 268, 3650, 3346, 609, 513, 1268, 945, 2907, 814, 2212, 561, 823, 269, 6270, 3346, 666, 581, 1455, 1851, 1453, 1282, 1404, 693, 454, 268, 5851, 267, 543, 454, 268, 22527, 3602, 630, 324, 3052, 1421, 5026, 2238, 267, 19209, 338, 267, 3786, 267, 543, 1793, 3784, 6105, 1916, 268, 1133, 21720, 569, 267, 6771, 949, 2049, 676, 454, 268, 654, 8960, 7802, 267, 971, 607, 22970, 267, 10077, 1407, 267, 25151, 267, 5026, 26977, 267, 610, 4552, 10775, 19490, 12816, 676, 606, 1102, 6479, 1268, 3248, 268, 4635, 1102, 6479, 2036, 338, 267, 26814, 610, 28734, 282, 610, 454, 268, 700, 3539, 593, 513, 5127, 267, 4172, 577, 267, 10788, 578, 267, 24095, 267, 610, 28077, 3662, 602, 814, 5063, 1044, 538, 3346, 609, 606, 1102, 6479, 1268, 563, 23175, 561, 823, 568, 711, 513, 1867, 762, 2068, 538, 20274, 269, 0, 763, 26541, 5443, 5918, 4425, 529, 632, 717, 5306, 1512, 568, 513, 12373, 5443, 538, 6742, 1408, 538, 519, 589, 3272, 1258, 8257, 538, 5333, 563, 763, 12373, 5443, 568, 4092, 1369, 519, 3788, 540, 922, 5180, 14629, 267, 799, 729, 2899, 1472, 476, 736, 269, 271, 544, 269, 769, 519, 7178, 267, 3079, 540, 519, 8912, 1439, 6149, 267, 621, 814, 513, 5180, 21490, 12068, 1500, 540, 1970, 268, 2391, 3819, 544, 21863, 7893, 1472, 476, 273, 269, 276, 7397, 269, 898, 568, 2009, 602, 713, 12068, 568, 519, 14230, 540, 513, 2413, 1352, 23311, 779, 554, 583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1924, 538, 713, 2013, 267, 649, 991, 547, 1265, 519, 3845, 610, 3259, 1063, 1448, 476, 16055, 494, 16807, 494, 6893, 498, 543, 1448, 476, 16055, 494, 16807, 494, 6893, 499, 269, 1703, 616, 1896, 2081, 540, 16042, 713, 1966, 267, 649, 786, 1413, 693, 1079, 540, 873, 269, 3776, 1101, 1505, 786, 581, 3113, 1227, 267, 543, 649, 786, 2253, 676, 28321, 519, 1079, 10974, 269, 8672, 476, 16055, 494, 16807, 494, 6893, 498, 814, 10974, 476, 1556, 267, 1614, 269, 8672, 476, 16055, 494, 16807, 494, 6893, 499, 814, 10974, 5722, 267, 1614, 269, 1306, 1312, 2798, 723, 519, 1482, 476, 16055, 494, 21638, 6893, 484, 18396, 15453, 267, 519, 3845, 689, 476, 16055, 494, 16807, 494, 6893, 498, 547, 476, 16055, 494, 16807, 494, 6893, 499, 786, 581, 513, 8880, 3845, 269, 1677, 1205, 689, 476, 1556, 547, 5722, 267, 649, 991, 547, 10208, 2185, 269, 1306, 519, 9588, 540, 1022, 6152, 1590, 581, 2318, 267, 1287, 519, 9588, 540, 476, 16055, 494, 16807, 494, 19050, 16055, 494, 16807, 494, 382, 479, 568, 3160, 547, 2185, 780, 2171, 1223, 849, 723, 7229, 519, 3845, 1063, 1448, 476, 16055, 494, 16807, 494, 6893, 498, 543, 1448, 476, 16055, 494, 16807, 494, 6893, 499, 1210, 835, 540, 938, 11282, 9511, 12596, 269, 634, 3845, 1063, 1022, 1079, 2798, 568, 3160, 547, 519, 4009, 3597, 540, 476, 16055, 494, 21638, 6893, 483, 835, 14263, 476, 16055, 494, 21638, 6893, 483, 1079, 16302, 7132, 476, 16055, 494, 21638, 6893, 484, 835, 14263, 476, 16055, 494, 21638, 6893, 484, 1079, 16302, 267, 1141, 938, 1079, 2798, 723, 10974, 476, 16055, 494, 21638, 6893, 483, 835, 267, 476, 16055, 494, 21638, 6893, 484, 835, 543, 476, 16055, 494, 21638, 6893, 483, 1079, 267, 476, 16055, 494, 21638, 6893, 484, 1079, 269, 15240, 23082, 538, 938, 2418, 3947, 721, 476, 16055, 494, 31976, 495, 568, 3160, 547, 519, 4009, 3597, 540, 476, 1556, 14263, 5722, 16302, 7132, 1614, 14263, 1614, 16302, 780, 2005, 3085, 16055, 480, 19050, 382, 503, 339, 2339, 799, 11282, 568, 476, 16055, 494, 21638, 6893, 483, 835, 267, 476, 16055, 494, 21638, 6893, 484, 835, 543, 799, 835, 568, 476, 16055, 494, 21638, 6893, 483, 1079, 267, 476, 16055, 494, 21638, 6893, 484, 1079, 269, 476, 1556, 14263, 5722, 568, 3160, 547, 2185, 267, 543, 1614, 14263, 1614, 568, 4642, 269, 1306, 4642, 16302, 568, 3160, 547, 4642, 267, 476, 16055, 494, 31976, 495, 568, 3160, 547, 519, 4009, 3597, 540, 2185, 16302, 269, 1306, 938, 3845, 1590, 581, 2318, 267, 713, 568, 3160, 547, 2185, 269, 4495, 1586, 267, 649, 723, 7229, 602, 519, 9588, 540, 519, 6152, 476, 16055, 494, 16807, 494, 19050, 16055, 494, 16807, 494, 382, 479, 568, 2185, 780, 5978, 3803, 2243, 786, 4125, 4466, 519, 9588, 540, 1079, 5094, 10321, 543, 741, 2040, 780, 13706, 519, 10321, 476, 16055, 494, 16807, 494, 6893, 492, 11224, 1079, 267, 1614, 543, 476, 16055, 494, 16807, 494, 6893, 493, 11224, 2185, 267, 3670, 269, 1548, 568, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 286, 1548, 568, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 286, 1548, 568, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 286, 769, 782, 1614, 2055, 649, 991, 547, 2285, 938, 2626, 547, 1079, 8918, 4025, 1141, 3617, 780, 2171, 11291, 602, 519, 9588, 540, 1022, 6152, 476, 16055, 494, 16807, 494, 6893, 494, 666, 581, 1336, 676, 4009, 3597, 532, 476, 16055, 494, 31976, 492, 16302, 7132, 476, 16055, 494, 31976, 493, 16302, 267, 1141, 476, 16055, 494, 31976, 492, 543, 476, 16055, 494, 31976, 493, 616, 519, 1079, 3334, 540, 519, 6152, 269, 769, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 267, 476, 16055, 494, 31976, 492, 568, 3160, 547, 1079, 543, 476, 16055, 494, 31976, 493, 568, 3160, 547, 1614, 269, 24641, 538, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 267, 476, 16055, 494, 31976, 492, 568, 3160, 547, 2185, 543, 476, 16055, 494, 31976, 493, 568, 3160, 547, 3670, 269, 634, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 568, 4061, 3160, 547, 519, 4009, 3597, 540, 1079, 16302, 7132, 1614, 16302, 269, 1306, 1079, 16302, 568, 3160, 547, 2185, 543, 1614, 16302, 568, 3160, 547, 8370, 267, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 568, 3160, 547, 519, 4009, 3597, 540, 476, 1724, 269, 1284, 1131, 1419, 4734, 713, 538, 1147, 323, 610, 9097, 1106, 269, 1717, 267, 538, 713, 2013, 267, 649, 16055, 480, 19050, 382, 503, 516, 4280, 547, 2285, 938, 2626, 547, 1079, 8918, 4025, 269, 634, 4009, 3597, 540, 476, 1724, 568, 3160, 547, 476, 274, 269, 2568, 276, 4649, 272, 543, 865, 593, 780, 2414, 5180, 547, 1079, 8918, 4025, 267, 938, 1883, 610, 14045, 1297, 786, 581, 519, 1101, 2947, 269, 901, 786, 5180, 938, 2626, 909, 269, 634, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 547, 1079, 8918, 4025, 568, 476, 274, 269, 8618, 269, 1284, 666, 10956, 713, 1184, 547, 5173, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 269, 9050, 16302, 568, 3160, 547, 476, 1626, 267, 543, 3670, 16302, 568, 3160, 547, 476, 3607, 269, 4475, 267, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 519, 4009, 3597, 540, 476, 7367, 269, 11978, 532, 713, 883, 519, 9498, 3947, 721, 476, 278, 269, 21076, 9083, 543, 865, 593, 269, 901, 942, 938, 14045, 1297, 568, 513, 835, 269, 1306, 713, 568, 1447, 982, 2947, 267, 649, 16055, 480, 19050, 382, 503, 961, 5180, 1524, 269, 634, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 4061, 3160, 547, 476, 278, 269, 2641, 780, 763, 3803, 851, 540, 938, 2243, 12134, 721, 547, 960, 856, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 269, 3776, 1101, 1900, 1934, 786, 581, 547, 5173, 519, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 269, 1284, 798, 713, 676, 4946, 519, 7222, 3334, 269, 5565, 7132, 2185, 568, 3160, 547, 3670, 267, 543, 1614, 7132, 3670, 568, 3160, 547, 8370, 269, 1284, 666, 1287, 5173, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 538, 519, 1482, 1259, 269, 901, 568, 3160, 547, 519, 4009, 3597, 540, 3670, 16302, 7132, 8370, 16302, 269, 14520, 16302, 568, 3160, 547, 476, 3607, 267, 543, 8370, 16302, 568, 3160, 547, 476, 10037, 269, 4475, 267, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 568, 3160, 547, 519, 4009, 3597, 540, 476, 14056, 269, 11978, 532, 713, 883, 519, 9498, 3947, 721, 476, 1015, 269, 279, 1626, 4792, 274, 269, 634, 14045, 1297, 1934, 568, 513, 3670, 267, 543, 4376, 2947, 610, 3152, 1797, 602, 649, 5180, 909, 269, 634, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 568, 3160, 547, 476, 1015, 269, 11025, 780, 2691, 3168, 693, 938, 1614, 4267, 267, 596, 1522, 1589, 596, 16055, 480, 19050, 382, 503, 557, 19481, 513, 4806, 267, 607, 476, 274, 269, 8618, 7132, 476, 278, 269, 2641, 568, 3160, 547, 476, 1015, 269, 11025, 269, 901, 5267, 602, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 568, 3160, 547, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 519, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 493, 269, 901, 267, 2705, 267, 568, 711, 7363, 519, 2013, 269, 634, 1152, 2601, 713, 1568, 538, 713, 2243, 568, 602, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 2965, 513, 2789, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 269, 5565, 16611, 676, 1079, 568, 3160, 547, 2185, 269, 1656, 1614, 16611, 676, 1079, 568, 3160, 547, 3670, 780, 11997, 267, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 2965, 1079, 6266, 610, 1079, 16611, 676, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 269, 901, 538, 2490, 1797, 602, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 7466, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 269, 17848, 476, 7367, 568, 3160, 547, 1079, 3597, 476, 1724, 269, 634, 9588, 540, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 476, 16055, 494, 16807, 494, 6893, 493, 538, 713, 2243, 3587, 1614, 2053, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 269, 898, 568, 1271, 547, 4063, 267, 2705, 267, 607, 5892, 5018, 267, 713, 786, 711, 3180, 585, 519, 5354, 540, 6152, 2055, 780, 2171, 786, 1631, 17412, 519, 1883, 2798, 689, 713, 3381, 269, 634, 9588, 540, 513, 6152, 568, 922, 3259, 269, 1284, 666, 5173, 519, 9588, 540, 1022, 6152, 538, 1079, 7516, 1210, 19456, 23768, 16055, 480, 19050, 382, 503, 338, 11532, 269, 634, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 3160, 547, 519, 4009, 3597, 540, 476, 16055, 494, 31976, 492, 16302, 7132, 476, 16055, 494, 31976, 493, 16302, 267, 1141, 476, 16055, 494, 31976, 492, 543, 476, 16055, 494, 31976, 493, 616, 519, 1079, 3334, 540, 519, 6152, 269, 1733, 12241, 938, 2626, 568, 2356, 2854, 607, 513, 1147, 323, 610, 9097, 267, 649, 666, 5173, 519, 8918, 1871, 780, 7661, 267, 649, 1336, 856, 602, 538, 519, 5354, 540, 2665, 267, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 568, 711, 3160, 547, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 492, 7132, 519, 9588, 540, 6152, 476, 16055, 494, 16807, 494, 6893, 493, 269, 18421, 649, 723, 1031, 538, 713, 3381, 666, 849, 581, 4294, 547, 1614, 8820, 10321, 269, 1452, 1131, 581, 2854, 538, 519, 1106, 476, 16055, 494, 31976, 492, 267, 476, 16055, 494, 31976, 493, 267, 476, 16055, 494, 31976, 494, 267, 519, 6241, 6152, 476, 16055, 494, 31976, 492, 267, 476, 16055, 494, 31976, 493, 267, 476, 16055, 494, 31976, 494, 267, 610, 476, 16055, 494, 31976, 492, 16055, 494, 16807, 494, 6893, 480, 7132, 476, 16055, 494, 31976, 493, 16055, 494, 16807, 494, 6893, 481, 7132, 476, 16055, 494, 31976, 494, 16055, 494, 16807, 494, 6893, 482, 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 ]
[ 4984, 610, 7287, 547, 23491, 513, 6205, 269, 0, 15899, 5320, 10881, 585, 29563, 454, 763, 20985, 4139, 9218, 454, 291, 5362, 1602, 320, 1422, 13312, 265, 553, 257, 17763, 265, 571, 20867, 562, 269, 1496, 26364, 269, 7790, 269, 6423, 4144, 5684, 648, 20426, 22175, 1421, 12181, 291, 7371, 619, 542, 269, 5257, 4534, 4294, 15217, 912, 2414, 1346, 7642, 945, 267, 1310, 519, 1401, 850, 267, 941, 16559, 998, 519, 6196, 2622, 267, 543, 19952, 547, 6014, 10271, 2713, 1851, 3002, 1156, 269, 595, 325, 563, 734, 22832, 1775, 269, 476, 272, 563, 3528, 10137, 267, 547, 10271, 9678, 689, 741, 1378, 1209, 542, 267, 607, 1851, 519, 5651, 822, 2103, 547, 1346, 2713, 267, 2356, 607, 28773, 267, 3544, 540, 519, 2385, 30798, 563, 291, 537, 6921, 553, 22489, 781, 661, 22029, 9218, 454, 333, 269, 476, 272, 634, 24980, 540, 519, 7642, 689, 519, 2244, 540, 5840, 269, 476, 273, 634, 7642, 865, 24797, 267, 3144, 15217, 269, 476, 274, 589, 2147, 24980, 563, 333, 269, 519, 1560, 540, 7642, 630, 528, 6014, 2950, 264, 3544, 21157, 610, 2413, 5840, 454, 1492, 24980, 540, 519, 7642, 3544, 5840, 282, 689, 519, 9552, 540, 519, 11454, 538, 13243, 538, 476, 6812, 278, 268, 10436, 7460, 950, 789, 941, 608, 6150, 547, 9040, 2643, 8205, 909, 547, 519, 1459, 942, 454, 1492, 24980, 610, 10825, 540, 1945, 602, 729, 8385, 22297, 630, 553, 513, 1004, 610, 1893, 610, 2528, 994, 288, 29563, 630, 5228, 5259, 24818, 15403, 10382, 17385, 11027, 14267, 16708, 31149, 267, 834, 2675, 30568, 267, 24980, 8442, 568, 513, 16559, 2551, 4171, 5169, 6013, 1369, 513, 4130, 13664, 1327, 1446, 269, 4144, 23159, 666, 849, 3277, 547, 519, 3350, 540, 519, 2551, 689, 922, 3312, 22657, 269, 4144, 23159, 814, 2097, 547, 3277, 3226, 547, 3140, 2527, 12165, 687, 540, 606, 32246, 2470, 267, 971, 607, 519, 1163, 13955, 540, 7642, 689, 7225, 20660, 267, 519, 7904, 4370, 540, 16380, 1310, 519, 2887, 540, 31862, 267, 519, 3979, 3690, 268, 9533, 10553, 4123, 267, 519, 7013, 4457, 610, 27734, 540, 3162, 5607, 1282, 519, 3579, 773, 4123, 267, 519, 9721, 1282, 543, 1310, 519, 9721, 5482, 710, 267, 519, 12761, 540, 13114, 29562, 538, 519, 476, 736, 628, 2540, 543, 519, 24815, 543, 1244, 677, 566, 540, 8562, 817, 2103, 563, 25748, 267, 5640, 723, 13747, 1063, 1114, 5686, 540, 29563, 267, 1759, 593, 922, 3123, 971, 607, 22030, 267, 4123, 610, 4074, 4955, 5928, 267, 610, 676, 519, 2186, 540, 1514, 25843, 1369, 519, 29563, 2146, 543, 922, 13218, 547, 519, 18577, 3338, 269, 2368, 29563, 2950, 2226, 2178, 2797, 13218, 609, 741, 22657, 269, 4033, 7907, 602, 949, 581, 6093, 540, 1082, 1019, 19166, 553, 616, 4555, 540, 2132, 267, 3347, 609, 824, 2950, 538, 519, 29563, 267, 543, 3668, 540, 2407, 5610, 883, 519, 3984, 2197, 563, 291, 5362, 1602, 320, 568, 513, 2182, 2257, 5708, 3209, 676, 519, 8241, 5856, 15535, 661, 1146, 799, 1101, 7902, 538, 1820, 538, 476, 1960, 278, 563, 291, 5362, 1602, 320, 568, 519, 26813, 17581, 676, 32068, 22256, 14844, 778, 320, 25304, 269, 898, 729, 5950, 676, 13780, 19475, 538, 4728, 476, 1960, 276, 563, 291, 5362, 1602, 320, 568, 519, 24980, 540, 513, 2551, 689, 741, 5065, 2244, 267, 3226, 2527, 12165, 687, 540, 606, 32246, 2470, 563, 291, 5362, 1602, 320, 949, 849, 3277, 547, 912, 268, 7102, 1880, 29563, 269, 6423, 5903, 540, 1019, 19166, 553, 454, 268, 4144, 23159, 6214, 538, 519, 2136, 2276, 454, 268, 4144, 23159, 2090, 454, 268, 4144, 23159, 630, 7224, 767, 1070, 513, 2257, 5708, 1433, 676, 15535, 661, 1146, 454, 291, 5362, 1602, 320, 630, 25791, 3060, 1070, 513, 7856, 1514, 3060, 454, 268, 4144, 23159, 630, 7809, 2264, 1070, 513, 1863, 2123, 1357, 7746, 602, 28352, 519, 4144, 23159, 1514, 3060, 454, 268, 4144, 23159, 630, 341, 8721, 3014, 1070, 513, 2527, 1947, 2173, 738, 328, 16651, 2228, 1909, 2452, 532, 3014, 630, 12613, 3036, 22333, 994, 268, 4144, 23159, 630, 14337, 25178, 532, 3014, 1070, 513, 3349, 9008, 1909, 2452, 532, 3014, 1210, 519, 674, 12442, 2599, 454, 291, 5362, 1602, 320, 729, 513, 2527, 1947, 3818, 16651, 2228, 1909, 2452, 532, 3014, 2813, 676, 16816, 3363, 8605, 687, 269, 1234, 548, 1078, 689, 12498, 538, 4873, 476, 1220, 271, 269, 1635, 519, 8285, 540, 476, 1220, 271, 267, 519, 3014, 1630, 16556, 936, 476, 3374, 267, 1822, 10805, 3593, 6589, 269, 1635, 4989, 519, 1739, 1032, 267, 621, 8445, 539, 693, 1472, 476, 3583, 267, 1822, 7373, 5928, 269, 634, 3014, 4682, 22356, 538, 4864, 476, 1220, 272, 563, 291, 5362, 1602, 320, 568, 513, 12593, 538, 519, 18105, 636, 7442, 545, 558, 14658, 320, 267, 1101, 4330, 676, 6181, 518, 538, 476, 6245, 279, 563, 291, 5362, 1602, 320, 568, 513, 834, 26773, 257, 2233, 30235, 1909, 25178, 532, 3014, 1759, 593, 519, 674, 12442, 2599, 689, 5345, 559, 24051, 8605, 687, 563, 291, 5362, 1602, 320, 630, 9690, 569, 18908, 1194, 29563, 265, 543, 19497, 18908, 1194, 14192, 3008, 303, 3036, 288, 265, 264, 568, 513, 1863, 2123, 1357, 7746, 602, 28352, 513, 7856, 1514, 13033, 3028, 269, 12305, 725, 540, 519, 3301, 1106, 9136, 630, 3410, 539, 834, 335, 16104, 8442, 799, 1118, 909, 519, 7856, 4144, 23159, 1514, 3060, 563, 763, 1788, 729, 8547, 676, 8355, 717, 23774, 328, 267, 7665, 6202, 6428, 345, 6199, 267, 14943, 3873, 601, 1924, 17304, 518, 543, 594, 569, 320, 11809, 527, 558, 15077, 7288, 344, 267, 1053, 693, 1715, 3840, 2160, 781, 3938, 656, 4659, 540, 19556, 7070, 269, 634, 1895, 4607, 7715, 4206, 27448, 538, 4430, 540, 1269, 1220, 267, 1822, 3842, 918, 1157, 560, 6621, 269, 589, 7082, 13672, 4528, 729, 5950, 593, 476, 2537, 5437, 476, 1001, 271, 563, 291, 5362, 1602, 320, 630, 9690, 569, 18908, 1194, 29563, 265, 543, 19497, 18908, 1194, 14192, 3008, 303, 3036, 288, 265, 264, 568, 513, 18758, 267, 3593, 24804, 267, 7856, 1514, 3060, 602, 568, 1759, 2390, 519, 1863, 4144, 23159, 3301, 269, 4144, 23159, 5161, 540, 513, 1895, 540, 10446, 11262, 9136, 630, 21406, 10540, 338, 264, 799, 954, 641, 4733, 547, 1106, 519, 3060, 269, 1306, 540, 4728, 476, 1001, 275, 267, 972, 616, 811, 982, 4144, 23159, 6589, 563, 763, 1514, 3060, 568, 711, 11262, 676, 1022, 835, 1268, 610, 11769, 267, 5329, 621, 689, 1373, 1641, 547, 9746, 1491, 268, 13569, 610, 10229, 269, 769, 5181, 476, 1001, 272, 519, 9367, 7150, 267, 834, 1862, 712, 7856, 1374, 1797, 1100, 2462, 18294, 786, 2479, 1852, 4144, 23159, 269, 4144, 23159, 265, 786, 2760, 6133, 707, 1514, 1272, 547, 6994, 23924, 267, 543, 596, 4465, 1406, 723, 547, 14883, 547, 2576, 779, 17062, 3652, 610, 1413, 936, 707, 13105, 1354, 596, 3717, 4799, 291, 5362, 1602, 320, 3301, 1646, 568, 7307, 676, 519, 4144, 23159, 7690, 267, 799, 568, 851, 540, 519, 5131, 12229, 8081, 8416, 630, 293, 7704, 301, 1040, 634, 674, 7704, 301, 568, 538, 2490, 2196, 676, 661, 17754, 631, 690, 6352, 543, 519, 12229, 15213, 4521, 4741, 269, 634, 674, 7704, 301, 6411, 607, 606, 22597, 3919, 547, 4144, 23159, 1646, 543, 21314, 4144, 23159, 781, 32107, 267, 18083, 543, 3656, 7221, 563, 5825, 720, 1806, 540, 834, 323, 5362, 1602, 320, 8487, 3528, 519, 1439, 540, 519, 4144, 23159, 267, 950, 1010, 16559, 804, 2158, 1185, 11028, 591, 3022, 267, 519, 3047, 1131, 581, 3110, 3386, 1586, 1532, 583, 646, 1223, 2760, 1745, 5150, 827, 13059, 547, 519, 17145, 2394, 30086, 1068, 320, 1185, 1044, 6045, 563, 313, 542, 1143, 267, 1390, 27098, 626, 3401, 543, 17024, 971, 607, 715, 1695, 636, 7108, 10458, 8385, 26927, 3139, 602, 5840, 267, 899, 824, 3540, 1242, 2829, 267, 1131, 849, 581, 12979, 1819, 538, 3486, 5238, 543, 1522, 1256, 1106, 851, 540, 513, 3818, 30710, 10480, 3130, 609, 519, 6259, 2829, 540, 519, 5664, 5101, 267, 7551, 20547, 519, 14196, 538, 799, 6014, 29563, 12666, 1143, 1336, 3294, 563, 298, 25184, 729, 5432, 609, 922, 15225, 543, 1019, 528, 24252, 18995, 519, 4473, 540, 8103, 689, 2582, 16052, 539, 7068, 998, 519, 1585, 5933, 540, 922, 4720, 543, 12977, 547, 922, 29563, 2066, 519, 14925, 563, 19102, 2084, 569, 267, 30634, 29422, 2919, 513, 3060, 540, 18793, 1851, 519, 1318, 13617, 540, 519, 17044, 9549, 543, 1031, 891, 3532, 2828, 547, 13230, 606, 4835, 2112, 1369, 519, 12925, 328, 29563, 585, 1852, 540, 519, 11685, 563, 10112, 18870, 267, 609, 922, 3303, 1243, 6995, 3108, 267, 922, 3983, 5748, 543, 8122, 20984, 267, 922, 588, 1066, 6681, 6803, 15976, 267, 922, 524, 622, 577, 1143, 5049, 1141, 938, 6561, 729, 13713, 6854, 9800, 538, 721, 1354, 1373, 4847, 547, 5884, 538, 519, 1390, 29563, 563, 19185, 1524, 519, 5318, 1596, 2632, 800, 540, 1010, 9224, 646, 814, 581, 18988, 3388, 1107, 519, 24778, 650, 10327, 9991, 2476, 883, 519, 7414, 267, 519, 1686, 540, 519, 4144, 23159, 2944, 538, 6063, 331, 636, 267, 9505, 1562, 1166, 5024, 519, 535, 709, 325, 709, 540, 519, 11824, 267, 519, 14440, 1225, 1324, 899, 513, 598, 577, 267, 1351, 3326, 553, 4758, 856, 1019, 777, 3517, 540, 1769, 267, 669, 877, 548, 976, 2695, 15256, 896, 519, 1433, 2046, 267, 1583, 698, 2993, 657, 1163, 3931, 538, 12084, 540, 7452, 267, 2575, 29307, 899, 3595, 689, 519, 6456, 6985, 14459, 540, 1928, 267, 838, 648, 543, 14834, 10517, 648, 535, 1192, 4328, 519, 3618, 267, 14255, 12069, 13481, 741, 6505, 838, 11921, 540, 2587, 340, 880, 2507, 1261, 568, 513, 6505, 27041, 267, 513, 15472, 694, 518, 945, 267, 609, 513, 30908, 540, 519, 11453, 267, 18788, 519, 30299, 21934, 1245, 547, 799, 519, 1560, 540, 812, 568, 5832, 539, 676, 519, 538, 4186, 549, 3200, 1043, 5013, 540, 1272, 563, 3891, 9364, 4862, 602, 519, 5767, 1840, 547, 519, 2319, 729, 513, 19257, 658, 534, 6518, 5921, 1480, 267, 10416, 320, 4759, 540, 519, 1482, 2249, 607, 5128, 267, 4171, 11937, 1185, 3262, 538, 1896, 3504, 1019, 19166, 553, 2066, 519, 14925, 267, 3935, 1944, 971, 10600, 607, 11759, 961, 807, 267, 25548, 5028, 534, 267, 17833, 541, 9346, 267, 543, 7366, 811, 563, 3891, 8910, 4862, 602, 519, 5767, 1840, 547, 519, 2319, 729, 513, 19257, 658, 534, 30147, 5921, 1480, 267, 10416, 12544, 4759, 540, 519, 1482, 2249, 607, 5128, 267, 4171, 11937, 1185, 3262, 538, 1896, 3504, 1019, 19166, 553, 2066, 519, 14925, 267, 3935, 1944, 971, 10600, 607, 11759, 961, 807, 267, 25548, 5028, 534, 267, 17833, 541, 9346, 267, 543, 7366, 811, 563, 2252, 594, 666, 1205, 1175, 835, 883, 519, 19964, 1175, 1354, 519, 4144, 23159, 267, 621, 1058, 581, 9447, 950, 596, 2307, 585, 621, 267, 3735, 538, 15535, 563, 6097, 547, 519, 2037, 9871, 19508, 29953, 267, 519, 12059, 729, 1419, 1634, 607, 519, 9947, 5652, 731, 17268, 610, 267, 3274, 267, 519, 15216, 14843, 267, 1317, 621, 22157, 547, 2721, 922, 2818, 689, 519, 6519, 4144, 23159, 281, 772, 527, 1633, 619, 267, 21853, 3122, 700, 5819, 1235, 267, 16543, 689, 15173, 15158, 267, 543, 3597, 1652, 12204, 689, 782, 540, 519, 17454, 12677, 2694, 540, 519, 1158, 563, 2005, 568, 15458, 2436, 519, 2136, 2276, 1223, 798, 519, 1482, 538, 12925, 1317, 1906, 538, 519, 12925, 328, 29563, 723, 1804, 1246, 902, 1851, 519, 6129, 23036, 3330, 12925, 267, 1247, 590, 5417, 600, 814, 3927, 7166, 1169, 1268, 538, 519, 2197, 609, 519, 2186, 540, 1347, 1143, 320, 543, 588, 1155, 602, 1131, 581, 2877, 563, 3719, 972, 1185, 1044, 1100, 971, 14882, 538, 519, 2038, 2395, 540, 519, 4144, 23159, 267, 543, 3833, 513, 1906, 10125, 1185, 1044, 3964, 676, 1024, 625, 4481, 2966, 585, 741, 1007, 5054, 563, 3719, 28543, 568, 711, 4425, 1180, 1442, 267, 543, 519, 796, 11499, 2259, 540, 1395, 690, 18081, 568, 607, 12082, 538, 519, 1977, 2528, 540, 519, 14206, 2540, 607, 1895, 7365, 568, 12082, 538, 519, 29610, 29450, 2065, 267, 13417, 19099, 2528, 540, 570, 1068, 3780, 538, 519, 3791, 26992, 540, 519, 29563, 563, 763, 2626, 547, 602, 835, 1185, 1044, 519, 5409, 2845, 267, 519, 26300, 15362, 6697, 540, 519, 3504, 16931, 658, 5583, 1949, 2919, 593, 6196, 3047, 1279, 1354, 519, 4144, 23159, 563, 6546, 267, 607, 1454, 607, 7435, 781, 1454, 642, 13550, 539, 2804, 12666, 5314, 267, 729, 1018, 22755 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 6932, 4066, 616, 28196, 1456, 1585, 4485, 540, 23072, 2238, 1369, 519, 9036, 563, 2026, 513, 1267, 540, 713, 267, 519, 9036, 814, 1044, 7680, 513, 6521, 538, 519, 6073, 538, 799, 1585, 2238, 616, 17298, 269, 1280, 713, 2601, 267, 621, 814, 1831, 1360, 1271, 585, 519, 5520, 547, 581, 8036, 1247, 538, 519, 9036, 269, 9751, 543, 1646, 540, 519, 5520, 538, 519, 9036, 568, 519, 10700, 1259, 585, 513, 6109, 547, 3035, 519, 5551, 1967, 538, 519, 1699, 8013, 2344, 563, 32086, 5520, 693, 519, 9036, 949, 581, 17298, 1210, 1585, 4485, 269, 2290, 540, 519, 1034, 1455, 4485, 540, 2866, 5520, 568, 998, 6896, 11925, 269, 769, 891, 11925, 616, 2141, 6896, 676, 519, 2359, 607, 513, 1259, 540, 3850, 5520, 547, 1459, 547, 519, 2359, 543, 547, 824, 5520, 519, 1983, 789, 723, 9715, 585, 513, 1808, 1974, 563, 1607, 666, 581, 2944, 593, 513, 2582, 9441, 4493, 267, 610, 593, 519, 4493, 540, 519, 13623, 3238, 269, 4033, 13623, 610, 5520, 786, 581, 4397, 547, 1451, 1007, 1732, 2081, 540, 16042, 1114, 2238, 602, 1058, 581, 5645, 856, 1369, 519, 6109, 269, 6271, 1455, 1259, 540, 2866, 5520, 693, 519, 9036, 568, 998, 519, 593, 18191, 984, 2866, 563, 4002, 18191, 984, 2866, 3217, 1747, 950, 519, 2359, 554, 2231, 4966, 547, 22738, 2866, 593, 5520, 267, 2523, 950, 972, 568, 513, 1007, 1935, 602, 1058, 581, 19927, 676, 519, 5520, 610, 950, 513, 1007, 1907, 568, 9447, 547, 513, 6109, 269, 634, 2866, 1131, 4125, 519, 30157, 2324, 7258, 519, 27466, 525, 630, 11390, 345, 541, 454, 290, 2734, 622, 26291, 18567, 543, 674, 3305, 13437, 7797, 1557, 948, 281, 1557, 948, 454, 763, 1184, 540, 1434, 2359, 538, 606, 3919, 568, 1572, 9746, 10350, 269, 23654, 10350, 568, 519, 2661, 5911, 540, 606, 3919, 630, 288, 576, 332, 690, 1663, 476, 1960, 276, 1040, 2060, 519, 3395, 2604, 593, 513, 6109, 779, 16169, 267, 519, 8689, 779, 1391, 585, 519, 1318, 1935, 547, 10350, 3322, 11413, 267, 10721, 2528, 543, 606, 2500, 10350, 10325, 563, 2414, 3666, 5092, 2994, 267, 609, 519, 17050, 540, 519, 3003, 30393, 779, 540, 519, 3919, 267, 519, 3652, 267, 5773, 543, 3157, 1590, 581, 7307, 543, 6417, 269, 634, 2359, 540, 891, 3157, 543, 8060, 616, 1572, 9746, 10350, 563, 28095, 2148, 2137, 8947, 519, 3157, 540, 1870, 3906, 543, 741, 1843, 4369, 538, 4881, 3232, 8852, 269, 901, 1867, 786, 1445, 593, 4632, 602, 3986, 2773, 538, 519, 3919, 269, 634, 4909, 4632, 616, 519, 5411, 543, 9946, 269, 13574, 619, 540, 6080, 16926, 5827, 9946, 547, 2932, 519, 12602, 593, 741, 15773, 563, 10376, 7811, 5943, 540, 9746, 10350, 2488, 513, 3760, 585, 6482, 269, 634, 1942, 540, 2359, 4679, 950, 519, 5411, 2308, 2298, 3946, 547, 4383, 741, 9541, 269, 6884, 267, 513, 32692, 540, 4690, 6971, 519, 2208, 540, 519, 3919, 630, 3849, 4461, 476, 1220, 273, 1040, 1879, 9946, 20688, 513, 6109, 779, 5092, 4640, 547, 1010, 610, 1200, 1719, 267, 621, 786, 5000, 11508, 1063, 519, 5411, 543, 519, 9946, 563, 4913, 267, 9746, 10350, 666, 2569, 519, 11508, 538, 9746, 3906, 3976, 267, 5464, 519, 2773, 540, 519, 3919, 630, 305, 28970, 476, 1220, 276, 1040, 901, 1867, 1535, 17530, 519, 2078, 1063, 9746, 10350, 4162, 543, 519, 6109, 779, 2773, 269, 634, 2078, 666, 581, 3254, 609, 513, 6516, 912, 1607, 1867, 31426, 519, 1764, 540, 1434, 10350, 593, 519, 6109, 779, 6006, 1871, 543, 519, 1942, 540, 2912, 1746, 543, 2359, 269, 634, 3732, 2450, 729, 4389, 547, 476, 736, 5177, 10909, 3976, 267, 9427, 10909, 711, 13006, 538, 5177, 267, 10909, 1510, 4570, 5993, 5359, 543, 2883, 10909, 538, 519, 5177, 269, 476, 736, 10909, 941, 5697, 689, 519, 674, 4306, 292, 1911, 1063, 476, 1220, 275, 543, 476, 1220, 279, 269, 634, 4632, 540, 2079, 941, 5258, 883, 8200, 543, 4830, 4632, 563, 7476, 707, 476, 1911, 260, 3312, 1957, 593, 1022, 1888, 2944, 538, 607, 2370, 607, 476, 274, 3108, 6258, 2859, 634, 8200, 4632, 1331, 281, 17776, 540, 24054, 630, 4629, 292, 1070, 2132, 593, 7221, 543, 519, 7443, 14345, 540, 519, 7396, 10909, 630, 13070, 3863, 531, 454, 1103, 2617, 566, 267, 27065, 267, 543, 27617, 5004, 693, 10060, 321, 15085, 7797, 2852, 16075, 1557, 948, 454, 8368, 540, 12937, 12861, 543, 15043, 19662, 454, 6826, 327, 3058, 607, 606, 24573, 584, 658, 9257, 454, 1805, 16808, 15085, 6585, 606, 26195, 4192, 2990, 1851, 5499, 3549, 269, 634, 6995, 5832, 814, 606, 1202, 520, 4192, 14031, 585, 5647, 269, 634, 2754, 568, 8348, 547, 7985, 930, 9271, 538, 519, 2282, 3856, 547, 1020, 9120, 2472, 538, 519, 1279, 3856, 3842, 31278, 5647, 269, 1717, 267, 519, 18515, 547, 7985, 9271, 568, 711, 1018, 2306, 519, 2754, 14222, 563, 763, 2754, 779, 6999, 547, 2628, 513, 1164, 3902, 538, 13287, 540, 5647, 568, 1018, 9356, 922, 7415, 4183, 269, 901, 1957, 3096, 2359, 2645, 543, 10850, 547, 2263, 519, 1909, 602, 2359, 2853, 1404, 547, 1489, 5647, 563, 11854, 32496, 267, 519, 1957, 27786, 875, 10060, 321, 15085, 5932, 543, 10953, 3255, 543, 875, 621, 21314, 5647, 269, 769, 1840, 267, 519, 1957, 7710, 875, 713, 2754, 31136, 607, 606, 29426, 13539, 563, 17730, 543, 15043, 19662, 589, 1297, 540, 2090, 602, 2263, 519, 4390, 540, 11639, 547, 1711, 543, 1020, 3255, 2291, 269, 1488, 323, 747, 341, 8270, 267, 9315, 9926, 334, 543, 14105, 630, 1220, 274, 264, 25077, 602, 11639, 798, 711, 1711, 3255, 855, 2864, 5431, 519, 4527, 543, 11944, 540, 3255, 563, 1103, 713, 2631, 267, 519, 4589, 15974, 602, 519, 1292, 3390, 547, 8495, 950, 4974, 519, 6384, 540, 1870, 3255, 568, 519, 29426, 4390, 547, 1020, 267, 5431, 267, 543, 6218, 873, 269, 769, 2487, 2053, 267, 6940, 814, 1831, 513, 2101, 3390, 538, 20835, 1317, 540, 519, 4145, 2404, 609, 519, 14016, 908, 2518, 1604, 563, 10932, 2982, 602, 11639, 945, 616, 3222, 540, 2825, 2152, 4043, 547, 2697, 543, 11654, 1870, 3255, 538, 2081, 602, 3895, 4264, 4238, 269, 1358, 798, 711, 1175, 1413, 693, 519, 2883, 12587, 602, 519, 4316, 786, 3142, 267, 855, 849, 519, 4264, 2934, 540, 519, 1870, 4316, 563, 763, 2947, 1292, 2188, 602, 5397, 519, 1184, 540, 9301, 543, 3384, 1870, 3255, 616, 968, 550, 7651, 584, 658, 10332, 1145, 267, 1344, 12623, 11496, 543, 1991, 1702, 267, 1514, 5121, 267, 7209, 7592, 267, 543, 519, 2470, 540, 519, 1870, 4316, 9731, 7476, 707, 476, 1911, 260, 3312, 1957, 593, 1022, 1888, 2944, 538, 607, 2370, 607, 476, 274, 3108, 6258, 2859, 24573, 584, 658, 10332, 1145, 4016, 547, 519, 2702, 540, 606, 16724, 547, 2226, 513, 1164, 1377, 540, 4656, 538, 2543, 547, 6932, 3255, 269, 1403, 606, 16724, 19330, 29426, 10332, 1145, 267, 621, 568, 2352, 585, 1864, 17017, 547, 2697, 28928, 3255, 269, 6176, 12623, 11496, 543, 1991, 1702, 3277, 547, 519, 1702, 19668, 540, 606, 16724, 563, 4263, 10721, 1377, 267, 713, 2298, 568, 519, 4493, 585, 519, 11944, 540, 1523, 540, 1565, 3906, 269, 11310, 2306, 621, 2009, 585, 11639, 547, 5431, 3255, 950, 789, 616, 1869, 3768, 18249, 269, 769, 1840, 267, 621, 838, 2720, 519, 4390, 540, 519, 16724, 547, 1118, 519, 3664, 2877, 547, 2981, 513, 1870, 4316, 883, 513, 1870, 14679, 563, 12892, 5121, 1404, 513, 4105, 1909, 538, 519, 1184, 540, 9301, 543, 3384, 1870, 3255, 1317, 11639, 1419, 991, 1344, 543, 2200, 711, 4867, 896, 741, 1852, 547, 11654, 1870, 3255, 269, 898, 568, 3339, 585, 11639, 547, 2697, 3255, 602, 789, 3112, 1020, 8259, 789, 1205, 6351, 689, 741, 1514, 3060, 563, 763, 7209, 7592, 540, 11639, 849, 3313, 875, 789, 11654, 1870, 3255, 269, 2755, 782, 11639, 616, 1981, 512, 5474, 267, 789, 723, 1114, 5232, 540, 1981, 10892, 269, 14992, 899, 10060, 321, 15085, 723, 513, 3152, 14031, 585, 1981, 3379, 547, 1034, 540, 741, 15712, 269, 901, 2501, 689, 519, 14789, 540, 519, 3401, 540, 519, 6109, 563, 3080, 7209, 3390, 602, 949, 3310, 519, 1259, 606, 16724, 20362, 1870, 3255, 568, 2436, 519, 2016, 16724, 568, 606, 25644, 3200, 610, 606, 970, 549, 3200, 269, 769, 713, 2013, 267, 606, 970, 549, 30062, 16724, 814, 513, 3677, 1514, 3060, 547, 2721, 1489, 689, 1247, 606, 25644, 30062, 16724, 814, 513, 4130, 1592, 540, 11967, 16167, 563, 2005, 1223, 581, 6059, 602, 10060, 321, 15085, 14560, 1981, 607, 519, 2754, 11099, 538, 519, 4028, 17293, 540, 2093, 4553, 676, 6297, 2079, 543, 6454, 540, 519, 3312, 2856, 936, 942, 269, 14992, 971, 607, 11197, 2327, 602, 789, 723, 4628, 2919, 513, 1587, 1354, 789, 5305, 621, 547, 519, 2344, 269, 769, 1249, 267, 11197, 3217, 513, 2603, 540, 1416, 547, 1832, 922, 1587, 1646, 3157, 5728, 267, 2394, 519, 5305, 540, 1808, 2472, 563, 1805, 16808, 15085, 2771, 1622, 29426, 10332, 1145, 676, 4509, 513, 1239, 4015, 1062, 602, 5531, 338, 1344, 689, 922, 5520, 543, 5561, 269, 31740, 616, 4280, 547, 2328, 547, 519, 2754, 779, 26933, 1142, 942, 789, 1745, 602, 513, 2016, 3375, 4422, 1996, 519, 5692, 540, 519, 2754, 563, 2171, 786, 2328, 513, 2688, 7797, 593, 16743, 267, 27065, 267, 543, 27617, 5004, 693, 10060, 321, 15085, 4481, 585, 596, 256, 5192, 707, 1101, 1957, 609, 476, 1428, 260, 5508, 293, 6258, 2859, 901, 849, 2636, 519, 2754, 547, 12492, 1344, 12623, 11496, 1317, 693, 1022, 942, 267, 519, 2754, 814, 811, 1344, 3823, 513, 1808, 3390, 7133, 922, 1870, 3379, 547, 922, 15712, 269, 901, 6087, 519, 2754, 547, 1491, 5413, 540, 519, 3255, 602, 8451, 538, 922, 3870, 563, 31572, 16743, 769, 519, 2796, 540, 12438, 1049, 5647, 267, 519, 2262, 602, 4564, 519, 2238, 540, 11639, 568, 968, 842, 1905, 16867, 2720, 1222, 6100, 968, 4504, 1905, 16867, 2720, 1222, 892, 4016, 547, 519, 2238, 17298, 676, 2043, 1369, 14540, 602, 3895, 5647, 269, 1452, 2238, 1445, 593, 4835, 3255, 610, 6381, 602, 3747, 2242, 538, 519, 4238, 540, 513, 2016, 3919, 563, 1103, 713, 2631, 267, 5647, 568, 711, 3908, 547, 519, 2238, 540, 2043, 267, 855, 2864, 5647, 666, 581, 519, 1267, 540, 519, 2238, 540, 6887, 538, 606, 13539, 269, 769, 2665, 1141, 6887, 3895, 5647, 267, 703, 1905, 16867, 2720, 1222, 4016, 547, 741, 7104, 2238, 602, 2087, 519, 2533, 543, 2472, 6035, 676, 519, 13539, 269, 16743, 666, 1491, 1747, 693, 519, 968, 332, 2222, 1377, 267, 519, 8544, 334, 1377, 267, 543, 519, 12550, 1377, 9731, 4263, 519, 2890, 1377, 621, 4016, 547, 2238, 17298, 676, 519, 13539, 24323, 547, 2327, 602, 621, 10607, 922, 2472, 543, 2533, 269, 16743, 693, 519, 8544, 334, 1377, 4016, 547, 519, 2872, 1808, 2609, 540, 5647, 8720, 519, 13539, 779, 3761, 5832, 543, 922, 7525, 5665, 1604, 563, 21547, 549, 1377, 5647, 2164, 689, 3255, 602, 8451, 1317, 540, 1919, 602, 1491, 1747, 693, 513, 2362, 1377, 267, 971, 607, 2242, 538, 15424, 10850, 543, 519, 3656, 1604, 540, 519, 1870, 563, 1805, 16808, 15085, 568, 740, 30794, 693, 519, 2359, 540, 5647, 269, 634, 2754, 814, 513, 2178, 2528, 540, 5647, 267, 799, 568, 519, 22449, 540, 922, 29426, 2203, 269, 10060, 321, 15085, 568, 1210, 782, 2139, 1797, 547, 4228, 922, 11640, 3564, 519, 6995, 5823, 269, 769, 1249, 267, 930, 1004, 2243, 2436, 6995, 568, 1175, 513, 18858, 13568, 7504, 538, 519, 10060, 321, 15085, 1870, 2203, 563, 1607, 2243, 568, 4570, 267, 2523, 6236, 519, 14769, 540, 2472, 602, 10060, 321, 15085, 568, 2907, 5356, 267, 543, 519, 2472, 602, 621, 568, 4058, 547, 10131, 269, 10060, 321, 15085, 568, 3222, 602, 5647, 538, 519, 1699, 1870, 2916, 1590, 979, 3564, 519, 2757, 3344, 540, 5647, 267, 799, 941, 2298, 1852, 267, 1942, 5969, 267, 543, 10512, 4398, 563, 763, 1101, 1858, 540, 1445, 538, 519, 1699, 17565, 540, 5647, 568, 519, 5368, 3685, 540, 1870, 3157, 269, 634, 2034, 835, 568, 5698, 543, 5610, 1369, 519, 6109, 267, 543, 519, 3791, 835, 568, 519, 5137, 540, 1007, 6990, 676, 5870, 519, 6932, 2115, 540, 5561, 563, 8253, 2386, 952, 596, 666, 2328, 513, 1957, 593, 16743, 267, 27065, 267, 543, 27617, 5004, 693, 10060, 321, 15085, 676, 3054, 286, 1284, 666, 948, 596, 585, 1152, 1269, 1626, 269, 4962, 1269, 1556, 270, 2457, 6258, 2859, 634, 10256, 540, 5647, 693, 519, 12550, 1377, 1331, 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 ]
[ 5666, 540, 11379, 630, 298, 264, 585, 1383, 476, 2004, 260, 540, 2698, 7693, 918, 8120, 538, 12450, 693, 7556, 942, 563, 3721, 476, 1015, 269, 15233, 13363, 539, 772, 16699, 1107, 13363, 539, 579, 16699, 568, 606, 3608, 16139, 1756, 1759, 6992, 16014, 543, 814, 2539, 8511, 3154, 5434, 3379, 547, 27114, 269, 13363, 539, 579, 16699, 3091, 1942, 9806, 829, 4893, 334, 540, 715, 3379, 27114, 1759, 6992, 23924, 563, 3721, 476, 1556, 269, 15233, 590, 17139, 584, 1107, 590, 17139, 584, 4249, 606, 1271, 1909, 538, 715, 946, 4398, 269, 10765, 1382, 2982, 602, 7311, 519, 19993, 2557, 540, 590, 4679, 715, 4398, 543, 6971, 715, 30450, 269, 13667, 547, 4019, 476, 1428, 547, 476, 736, 4846, 590, 270, 3873, 547, 23611, 7031, 547, 2087, 715, 4398, 563, 3721, 476, 1321, 269, 28509, 670, 539, 3455, 3298, 1107, 670, 539, 3455, 3298, 616, 513, 3407, 7226, 585, 7320, 267, 9265, 543, 3327, 4859, 269, 31896, 4054, 1315, 15949, 2471, 513, 1434, 4781, 547, 3524, 6856, 3327, 585, 1279, 3856, 4859, 269, 16259, 513, 15949, 3455, 578, 2359, 1544, 547, 948, 2087, 3484, 9265, 267, 3327, 7001, 543, 4859, 593, 11489, 720, 11396, 563, 2690, 2417, 1344, 267, 1294, 3095, 4179, 2517, 4178, 269, 974, 698, 2444, 269, 773, 8276, 4215, 270, 933, 2125, 924, 19841, 1444, 270, 30873, 268, 4219, 4882, 793, 14006, 3491, 13559, 1889, 270, 1321, 28157, 338, 3562, 7304, 9254, 576, 8566, 29917, 7232, 332, 3827, 6823, 6874, 650, 720, 6363, 15767, 15005, 0, 14110, 5056, 619, 267, 513, 6390, 11272, 27990, 932, 1173, 619, 267, 616, 1031, 547, 5279, 1312, 4628, 3167, 543, 11690, 2987, 10316, 6472, 269, 3807, 899, 575, 23035, 909, 693, 513, 6802, 267, 12601, 5056, 619, 968, 15640, 909, 892, 610, 5279, 707, 5122, 6007, 689, 606, 17752, 267, 899, 1022, 824, 3926, 596, 11690, 883, 707, 3044, 3774, 17752, 693, 1753, 563, 2005, 2731, 568, 602, 2241, 267, 543, 952, 596, 723, 513, 2110, 862, 1393, 267, 666, 5279, 707, 1286, 585, 1082, 3108, 693, 513, 942, 267, 1287, 596, 949, 581, 14018, 585, 513, 1377, 835, 29789, 269, 898, 814, 519, 9803, 1942, 547, 5279, 267, 607, 621, 3085, 1406, 2154, 513, 6131, 5547, 543, 3096, 476, 8099, 268, 6344, 19581, 339, 8028, 1379, 2907, 1336, 538, 707, 1753, 269, 898, 786, 5279, 476, 275, 547, 476, 277, 5195, 540, 2039, 829, 5662, 269, 1677, 2322, 621, 538, 5133, 267, 952, 596, 5397, 476, 1789, 5195, 829, 1554, 267, 543, 1152, 991, 547, 968, 9008, 1055, 892, 585, 6905, 3108, 16074, 267, 5426, 476, 272, 12123, 949, 3411, 823, 269, 1717, 267, 12123, 513, 1279, 24365, 6174, 689, 8900, 547, 2407, 1223, 1491, 909, 547, 2185, 2395, 269, 2755, 5426, 476, 272, 12123, 568, 9090, 2009, 267, 621, 779, 711, 4052, 538, 1034, 2665, 267, 2523, 952, 596, 2461, 3843, 547, 5279, 519, 12601, 779, 6007, 538, 2407, 563, 25583, 476, 273, 12123, 3096, 513, 476, 13301, 19581, 339, 17752, 267, 519, 2186, 602, 568, 1031, 585, 10085, 619, 267, 3167, 9832, 267, 543, 2011, 8410, 1288, 532, 4559, 267, 543, 616, 519, 1732, 3903, 936, 5426, 476, 272, 950, 12123, 693, 1753, 607, 621, 779, 5078, 585, 2407, 16074, 12123, 269, 1411, 666, 2901, 11690, 621, 538, 2047, 267, 799, 10997, 693, 5111, 476, 2412, 993, 1186, 610, 723, 621, 2182, 342, 1600, 543, 5279, 909, 547, 476, 4366, 993, 1186, 269, 13689, 593, 707, 1286, 779, 6007, 4390, 267, 621, 786, 1491, 1175, 896, 476, 1015, 3108, 547, 4628, 5279, 606, 12601, 1210, 2901, 519, 1377, 476, 272, 610, 1377, 476, 273, 8028, 12123, 10473, 563, 4407, 519, 1101, 1079, 2157, 946, 8028, 630, 531, 1181, 908, 1699, 264, 12123, 1062, 267, 5426, 476, 274, 568, 9823, 267, 1210, 1463, 1699, 630, 17584, 1040, 9823, 12123, 10473, 666, 5838, 909, 547, 476, 6110, 268, 12010, 309, 540, 5021, 1379, 269, 901, 666, 5279, 707, 1286, 689, 4642, 547, 476, 3199, 260, 538, 1175, 896, 476, 1789, 3764, 269, 5221, 540, 519, 6909, 1379, 621, 3340, 267, 513, 9823, 3728, 29789, 3112, 581, 1031, 607, 513, 1753, 12123, 6728, 269, 1411, 3580, 1419, 1294, 891, 538, 5010, 12601, 12123, 10473, 269, 6056, 23592, 267, 12601, 2998, 610, 519, 1082, 824, 1857, 2628, 3562, 7302, 1618, 10473, 563, 15371, 519, 2702, 547, 5279, 707, 1286, 538, 519, 942, 621, 3217, 547, 723, 12899, 267, 1247, 596, 3207, 610, 538, 1175, 513, 1906, 3108, 267, 3346, 721, 547, 6218, 707, 1062, 585, 513, 1753, 12123, 6728, 269, 898, 779, 2241, 267, 6940, 998, 3859, 1648, 267, 581, 1648, 4830, 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 ]
[ 609, 630, 21860, 264, 519, 1560, 269, 1452, 16921, 616, 2442, 593, 17209, 15942, 269, 2290, 1439, 568, 7923, 543, 519, 824, 1439, 568, 15810, 4464, 829, 626, 5306, 1227, 2394, 621, 18953, 1524, 267, 607, 2484, 607, 621, 666, 3914, 282, 1287, 519, 1101, 1439, 568, 5950, 267, 15504, 4464, 267, 543, 556, 3430, 3737, 282, 543, 519, 4783, 28197, 269, 1703, 616, 2831, 602, 1847, 593, 2244, 267, 538, 519, 2011, 267, 538, 4054, 267, 543, 538, 519, 1216, 269, 645, 21317, 16117, 568, 10355, 1336, 3544, 18714, 2831, 1765, 2288, 693, 2547, 1079, 2010, 540, 12354, 22455, 3802, 536, 21317, 958, 593, 519, 4262, 6989, 1210, 1079, 540, 741, 7916, 267, 865, 789, 666, 946, 519, 6967, 7916, 547, 31491, 720, 2933, 607, 513, 1319, 540, 13479, 610, 13735, 17310, 907, 12824, 723, 4362, 513, 5892, 7164, 1505, 540, 21525, 10056, 602, 15315, 946, 547, 18214, 1804, 267, 5347, 4054, 269, 3816, 23768, 616, 513, 1920, 630, 292, 3832, 928, 13160, 264, 540, 18422, 1922, 514, 2740, 3165, 269, 2368, 2249, 616, 10859, 8584, 638, 1738, 543, 616, 8449, 693, 1753, 538, 519, 1216, 607, 593, 2244, 267, 1775, 4318, 269, 519, 1769, 267, 543, 723, 6190, 1379, 540, 21525, 10056, 547, 23309, 547, 519, 2627, 540, 16095, 538, 799, 789, 723, 1044, 708, 5523, 4765, 1282, 519, 15018, 12804, 335, 540, 20115, 269, 10960, 21525, 10056, 267, 538, 2802, 1108, 267, 568, 1022, 540, 513, 3099, 540, 2409, 602, 2831, 946, 547, 1847, 689, 835, 1747, 547, 1776, 269, 16869, 8382, 476, 1911, 260, 630, 273, 16863, 264, 2920, 16394, 6495, 518, 1756, 15824, 21525, 10056, 609, 519, 948, 540, 4949, 641, 17377, 269, 968, 10214, 1498, 789, 666, 18214, 1210, 713, 7154, 267, 621, 568, 11319, 873, 547, 519, 7182, 269, 634, 19426, 540, 10760, 3165, 616, 3335, 1472, 476, 2004, 7397, 630, 8182, 10264, 1070, 1498, 789, 666, 946, 4253, 2761, 338, 693, 519, 3056, 6316, 540, 6329, 547, 3382, 9883, 540, 909, 547, 476, 6110, 544, 630, 272, 267, 4968, 10264, 1040, 11153, 30173, 2695, 573, 267, 971, 607, 519, 7414, 10760, 2695, 573, 267, 20014, 856, 540, 519, 1216, 547, 9101, 11975, 267, 606, 9542, 2147, 547, 602, 540, 10760, 3165, 269, 23370, 300, 10680, 717, 269, 654, 269, 11553, 18739, 22721, 12309, 3557, 5441, 21850, 29767, 3267, 2409, 540, 4638, 12093, 267, 543, 741, 3774, 3889, 616, 1806, 540, 9259, 799, 2097, 909, 585, 7368, 7634, 269, 2776, 2380, 850, 22712, 14442, 2644, 949, 946, 741, 2766, 547, 4217, 538, 21525, 10056, 543, 950, 21737, 267, 519, 737, 836, 16619, 657, 543, 824, 5672, 1886, 16104, 946, 741, 2766, 547, 4412, 601, 2933, 4464, 609, 519, 2185, 7953, 1031, 547, 2226, 3666, 269, 634, 5696, 583, 531, 18266, 2986, 22050, 1886, 617, 4144, 1115, 269, 1703, 616, 1100, 1614, 6122, 13949, 2831, 1765, 2288, 930, 5672, 1886, 16104, 267, 971, 607, 737, 836, 16619, 657, 267, 602, 14595, 1063, 16889, 741, 2597, 593, 741, 16757, 21217, 543, 741, 1079, 12042, 7953, 1223, 581, 6743, 693, 607, 606, 1383, 540, 2468, 6244, 531, 21525, 10056, 538, 2831, 269, 1548, 568, 513, 957, 16394, 6495, 518, 1756, 781, 1505, 540, 21525, 10056, 286, 2073, 2037, 1120, 7497, 568, 1271, 585, 7713, 519, 4720, 540, 25061, 2804, 3664, 538, 7103, 282, 585, 1383, 267, 513, 1353, 540, 519, 3979, 9932, 13520, 267, 589, 269, 544, 269, 1085, 583, 749, 1092, 267, 814, 3254, 602, 9932, 10987, 949, 4123, 519, 1164, 7319, 13427, 1543, 540, 1471, 32654, 22060, 1055, 585, 519, 17615, 2640, 540, 15911, 267, 1447, 13671, 22060, 267, 799, 849, 6971, 741, 4616, 543, 8184, 942, 269, 2677, 332, 1749, 3006, 1332, 538, 10125, 267, 1141, 2043, 2611, 7923, 1310, 1591, 6498, 269, 1717, 267, 824, 3029, 540, 21525, 10056, 949, 581, 811, 3617, 585, 513, 1297, 540, 4128, 267, 585, 1383, 21986, 532, 11315, 14099, 267, 607, 1134, 607, 3001, 543, 15025, 538, 1480, 5054, 269, 12344, 1631, 596, 8910, 899, 547, 1451, 827, 519, 27899, 2732, 269, 634, 5168, 9788, 11953, 269, 11524, 786, 10119, 690, 1146, 593, 6777, 4318, 1998, 263, 14162, 16062, 1679, 4671, 698, 31912, 278, 2764, 267, 3445, 3910, 262, 24160, 5158, 5332, 564, 2000, 1618, 6122, 14575, 4580, 268, 273, 12887, 14162, 338, 14309, 318, 274, 3299, 11820, 10086, 271, 12887, 271, 11172, 4297, 282, 293, 2391, 7661, 267, 930, 11864, 723, 3144, 547, 519, 2011, 269, 901, 1526, 3599, 568, 2356, 12913, 676, 2242, 538, 32376, 269, 3487, 569, 267, 713, 568, 1500, 2009, 676, 519, 15896, 540, 513, 1753, 1278, 6193, 1560, 4318, 1998, 263, 14162, 16062, 1679, 4671, 698, 31912, 278, 2764, 267, 3445, 3910, 262, 24160, 5158, 5332, 564, 2173, 539, 5550, 4120, 268, 274, 12887, 14162, 338, 14309, 318, 271, 3299, 10755, 10086, 271, 12887, 271, 11172, 4297, 282, 3487, 569, 621, 568, 849, 1500, 2009, 676, 519, 1259, 11864, 685, 17873, 24808, 609, 630, 21860, 264, 519, 1560, 269, 476, 4033, 7293, 14624, 540, 10760, 2831, 1331, 4389, 543, 23799, 30744, 1560, 2597, 267, 535, 639, 6134, 3337, 543, 3532, 8184, 6091, 282, 972, 949, 849, 581, 12214, 14624, 269, 634, 12593, 540, 29092, 29234, 616, 818, 321, 648, 531, 28499, 602, 2356, 946, 22712, 745, 6244, 16117, 538, 519, 4054, 269, 901, 568, 519, 3119, 1797, 540, 21525, 10056, 585, 519, 1507, 575, 756, 19490, 543, 521, 3554, 836, 338, 540, 22703, 5607, 269, 2073, 634, 2165, 834, 331, 24899, 10056, 257, 568, 4646, 538, 2296, 689, 5824, 1327, 334, 834, 5228, 513, 1747, 257, 630, 629, 331, 894, 540, 30580, 834, 2897, 8442, 1341, 2138, 1470, 834, 332, 10056, 267, 513, 3001, 257, 907, 476, 2991, 535, 6748, 267, 9038, 2333, 538, 4320, 543, 1831, 1454, 3677, 3448, 547, 1863, 2000, 1516, 9038, 540, 519, 2249, 269, 910, 5130, 476, 1321, 267, 476, 1708, 272, 1432, 1684, 10965, 5661, 16202, 286, 2368, 1715, 2622, 22171, 971, 607, 17178, 22171, 543, 9597, 1172, 529, 616, 834, 9895, 756, 571, 14024, 2209, 257, 543, 1847, 998, 519, 4054, 609, 513, 4999, 540, 682, 12686, 543, 2909, 577, 2747, 269, 654, 3419, 326, 1782, 16511, 558, 10056, 476, 276, 269, 661, 551, 641, 31730, 2572, 971, 607, 7904, 553, 666, 1847, 1472, 593, 519, 1560, 540, 741, 3984, 267, 855, 616, 16487, 1454, 3476, 9883, 676, 519, 3984, 781, 21525, 10056, 269, 3509, 20910, 543, 4262, 21495, 946, 1312, 4395, 543, 12042, 17873, 950, 10977, 267, 855, 18479, 11244, 20910, 1152, 2479, 946, 741, 12042, 17873, 269, 1280, 519, 1101, 942, 538, 5176, 513, 2540, 267, 3744, 723, 4362, 513, 1007, 1505, 540, 13131, 21525, 10056, 676, 1259, 540, 513, 29737, 16246, 1505, 17820, 676, 513, 2249, 540, 519, 13442, 2713, 538, 2871, 600, 269, 1452, 9249, 10460, 3875, 7344, 2591, 547, 2831, 3001, 998, 873, 267, 3056, 547, 513, 3099, 540, 26715, 267, 24040, 543, 8733, 4539, 607, 1134, 607, 7648, 2429, 1114, 2249, 269, 5084, 23615, 2316, 306, 4932, 19006, 281, 634, 1739, 2798, 5031, 519, 2947, 12331, 540, 21525, 10056, 538, 5019, 1235, 269, 7799, 321, 1652, 7103, 3001, 593, 2244, 1590, 10069, 13443, 7753, 2627, 11508, 267, 2705, 267, 789, 798, 711, 2356, 991, 547, 13358, 1713, 1648, 547, 25559, 8904, 269, 901, 568, 1031, 676, 1034, 11876, 1993, 539, 2831, 267, 607, 1134, 607, 7314, 543, 5243, 269, 589, 7504, 585, 3236, 814, 1614, 2067, 32364, 1080, 281, 513, 3802, 971, 607, 519, 30539, 11738, 3802, 267, 513, 7708, 339, 543, 513, 7086, 641, 269, 634, 11707, 540, 27899, 6972, 543, 4881, 666, 1205, 3833, 7294, 543, 4125, 519, 946, 540, 28844, 543, 519, 1394, 607, 1648, 13936, 20950, 547, 3986, 4398, 269, 1284, 2273, 652, 21525, 10056, 2479, 269, 2859, 5432, 5310, 616, 519, 918, 836, 16619, 657, 540, 5245, 799, 7914, 593, 1079, 7953, 607, 798, 7603, 2692, 553, 267, 808, 18804, 8983, 543, 513, 3099, 540, 824, 4130, 8241, 23047, 1575, 10118, 269, 769, 1249, 827, 476, 736, 260, 540, 782, 2249, 540, 11864, 666, 8038, 269, 1280, 513, 2540, 267, 972, 723, 1152, 1044, 2185, 4767, 2409, 540, 13131, 21525, 10056, 2507, 476, 6271, 1106, 540, 21525, 10056, 630, 514, 799, 519, 2627, 4494, 568, 7745, 264, 568, 1031, 676, 519, 24958, 7416, 561, 19123, 269, 4395, 2451, 543, 1318, 1394, 7953, 547, 1847, 585, 2072, 282, 1287, 519, 4395, 1318, 543, 2451, 1394, 7953, 1847, 267, 543, 865, 593, 4318, 1998, 263, 14162, 16062, 1679, 4671, 698, 31912, 278, 2764, 267, 3445, 3910, 262, 24160, 5158, 5332, 564, 2173, 539, 5550, 4120, 268, 275, 12887, 14162, 338, 14309, 318, 273, 3299, 11793, 10086, 271, 12887, 271, 11172, 4297, 282, 717, 4275, 742, 525, 543, 513, 1906, 824, 2831, 971, 607, 6960, 12217, 543, 4342, 1564, 630, 5408, 570, 269, 661, 269, 18039, 267, 18599, 30346, 1513, 540, 27067, 264, 1847, 1312, 7953, 593, 835, 2427, 543, 1287, 1312, 7953, 593, 519, 824, 2427, 269, 13298, 982, 3742, 8184, 267, 930, 630, 9895, 328, 268, 264, 818, 321, 648, 531, 2831, 2569, 741, 2557, 540, 9991, 676, 1350, 4575, 269, 3509, 2831, 1765, 1721, 1383, 10859, 8584, 638, 1738, 2831, 267, 543, 11362, 5017, 1765, 10585, 569, 1847, 998, 811, 982, 835, 1826, 540, 5420, 269, 4858, 577, 2747, 1797, 3001, 676, 18711, 689, 7936, 547, 7936, 609, 707, 7916, 269, 19669, 26370, 575, 756, 2548, 630, 295, 2643, 984, 919, 1286, 264, 1210, 2909, 577, 2747, 547, 1847, 1063, 4054, 269, 1772, 621, 513, 1313, 582, 5268, 267, 10636, 582, 5268, 267, 610, 3575, 582, 5268, 286, 2368, 5017, 630, 324, 3052, 1421, 3731, 2572, 264, 723, 4503, 519, 3119, 21525, 10056, 540, 8184, 269, 1215, 3509, 15661, 3657, 1703, 286, 3509, 2244, 11864, 666, 7669, 267, 1256, 630, 663, 1519, 264, 519, 2462, 7314, 269, 1261, 781, 849, 513, 4116, 267, 513, 10564, 543, 519, 8227, 540, 476, 272, 267, 13923, 2835, 269, 28463, 568, 849, 606, 17615, 3310, 538, 8184, 267, 543, 519, 7098, 11946, 1227, 3608, 1560, 5546, 540, 10760, 5017, 5815, 875, 789, 723, 7960, 547, 11883, 609, 713, 269, 17305, 1562, 267, 26194, 19373, 4926, 269, 2690, 1034, 18714, 11864, 267, 10977, 3322, 6972, 538, 519, 1216, 269, 1452, 2409, 949, 723, 930, 4123, 11325, 538, 519, 3593, 779, 1995, 267, 543, 602, 1995, 786, 4268, 689, 1268, 547, 1268, 269, 476, 2368, 3818, 268, 28534, 267, 3728, 2173, 8221, 5182, 8127, 971, 607, 519, 30011, 694, 770, 541, 630, 13695, 322, 333, 641, 17377, 927, 1014, 628, 32403, 264, 7485, 2933, 2059, 609, 930, 540, 741, 7916, 1247, 15603, 1866, 13009, 3297, 269, 1703, 616, 10760, 25277, 9280, 609, 513, 1166, 777, 540, 2960, 21401, 1063, 741, 2062, 543, 12042, 17873, 267, 799, 950, 21401, 856, 2636, 873, 547, 1350, 728, 1419, 585, 9645, 9883, 269, 5015, 267, 2831, 949, 946, 10069, 13443, 7199, 2409, 540, 21525, 10056, 950, 2825, 2175, 630, 7945, 607, 1373, 1369, 513, 3276, 992, 264, 840, 2850, 824, 12331, 269, 5851, 3436, 26495, 1023, 3436, 26495, 531, 16511, 558, 10056, 300, 2459, 531, 16511, 558, 10056, 281, 476, 280, 7756, 3525, 525, 2986, 11873, 4112, 7134, 299, 24899, 10056, 769, 26495, 1023, 12024, 1034, 20641, 267, 519, 5354, 540, 11864, 2951, 2066, 2244, 8160, 2459, 1023, 267, 2705, 267, 1847, 1454, 2417, 543, 811, 1419, 982, 20641, 269, 4107, 20910, 3927, 31770, 282, 15198, 4464, 1287, 14598, 4221, 741, 1394, 547, 3142, 519, 12042, 851, 540, 519, 1560, 607, 2484, 4464, 607, 2009, 267, 1287, 9870, 543, 11319, 519, 4395, 4464, 1586, 269, 634, 17094, 956, 593, 741, 12042, 7953, 616, 865, 8465, 602, 789, 666, 2490, 998, 476, 5197, 5232, 3850, 873, 547, 581, 8449, 3730, 2469, 909, 543, 4947, 1524, 269, 634, 1267, 540, 713, 568, 602, 513, 25850, 7575, 922, 7953, 23651, 543, 585, 2072, 9944, 922, 1560, 267, 6466, 513, 16277, 850, 814, 922, 7953, 12758, 856, 547, 519, 2427, 269, 589, 1507, 14461, 13743, 3785, 883, 519, 2011, 543, 29598, 519, 2842, 269, 634, 13540, 568, 2356, 4092, 538, 519, 568, 628, 16443, 269, 901, 3350, 689, 835, 1747, 547, 1776, 568, 1572, 21525, 10056, 267, 543, 972, 616, 6266, 540, 1114, 2010, 269, 11576, 800, 8546, 3952, 547, 1847, 540, 2081, 547, 23144, 1426, 10977, 2831, 949, 1152, 4054, 1862, 13255, 15234, 519, 2766, 2770, 7719, 1107, 513, 2582, 4759, 729, 335, 29034, 5255, 320, 269, 1496, 476, 10436, 9948, 1510, 13617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28052, 757, 267, 1256, 952, 621, 568, 1875, 10391, 267, 621, 786, 581, 3617, 543, 6190, 547, 581, 2111, 547, 3035, 519, 6662, 540, 606, 2500, 7738, 1184, 563, 2171, 723, 3838, 538, 1114, 15473, 938, 3811, 2833, 4881, 9756, 4255, 267, 1141, 606, 3742, 6219, 568, 3067, 1881, 676, 24605, 9448, 543, 570, 8016, 538, 6252, 282, 952, 519, 2164, 6542, 602, 2147, 2164, 616, 5833, 609, 1312, 10763, 2409, 267, 609, 8579, 1489, 2443, 11117, 676, 4966, 538, 14453, 7194, 2443, 1287, 789, 2907, 723, 538, 1688, 519, 2556, 968, 27023, 881, 24117, 892, 2838, 547, 6542, 1354, 1022, 9431, 8116, 543, 17854, 519, 946, 540, 1875, 10391, 10763, 2409, 585, 7738, 15418, 269, 0, 8777, 1645, 1374, 1053, 998, 513, 3381, 2861, 5850, 1062, 454, 1607, 1353, 7710, 519, 12117, 540, 513, 3381, 2861, 5850, 1062, 1369, 2034, 1032, 1374, 2069, 269, 898, 5359, 593, 513, 12681, 1353, 5342, 538, 19496, 835, 267, 476, 1001, 271, 267, 1210, 606, 4540, 4081, 3760, 267, 519, 2034, 1032, 1374, 4295, 1576, 5303, 538, 5071, 267, 538, 519, 3427, 540, 15339, 267, 23721, 15339, 543, 12124, 5071, 693, 519, 2160, 540, 1520, 11253, 728, 269, 3683, 835, 19496, 267, 476, 14093, 1374, 1053, 267, 1519, 476, 2767, 3486, 1053, 267, 543, 476, 1556, 23958, 24547, 5448, 1053, 267, 941, 7722, 538, 519, 1576, 799, 3351, 2213, 2757, 3068, 3562, 19904, 3450, 6127, 630, 10175, 3135, 11564, 267, 15872, 543, 801, 3930, 264, 7471, 609, 930, 2228, 3334, 630, 10175, 513, 7347, 1576, 3896, 543, 4901, 12545, 1040, 634, 1565, 729, 29979, 676, 606, 2228, 3381, 2861, 4199, 267, 476, 2190, 270, 278, 645, 1815, 269, 3962, 3381, 267, 4557, 538, 2698, 267, 9619, 513, 1114, 1374, 2792, 5578, 543, 729, 11540, 593, 513, 4563, 4580, 1565, 2359, 1062, 630, 299, 5960, 1040, 634, 6268, 1184, 3238, 26740, 5955, 689, 1053, 2429, 519, 19496, 267, 513, 2022, 5498, 332, 6856, 5619, 267, 543, 1788, 10391, 18759, 693, 519, 12032, 540, 519, 1576, 269, 634, 476, 2190, 270, 278, 8244, 543, 519, 3381, 2861, 3898, 540, 519, 4199, 598, 11526, 547, 1312, 519, 607, 2106, 28942, 1565, 4162, 540, 9921, 21943, 1053, 543, 519, 2048, 1415, 5503, 267, 9170, 685, 960, 10182, 540, 19087, 25286, 1053, 267, 1247, 849, 2258, 908, 1455, 1565, 23665, 267, 971, 607, 1893, 7496, 267, 540, 3486, 1053, 269, 898, 9863, 3810, 6225, 547, 5234, 607, 621, 17515, 519, 991, 547, 556, 30185, 2048, 21353, 545, 1983, 685, 3450, 1369, 1362, 942, 267, 3850, 18638, 7886, 547, 581, 1732, 3351, 2213, 7722, 538, 3068, 3562, 19904, 1646, 540, 1374, 3785, 269, 634, 1788, 786, 4228, 538, 476, 1001, 272, 547, 1331, 824, 6030, 543, 3292, 1369, 519, 12200, 563, 6826, 518, 267, 595, 1421, 18412, 267, 918, 1421, 1299, 13643, 267, 667, 269, 630, 1001, 271, 1040, 25824, 2209, 540, 6278, 269, 769, 595, 13034, 269, 13082, 267, 631, 12282, 269, 3223, 653, 749, 267, 623, 269, 717, 8538, 545, 1299, 590, 269, 5600, 2998, 630, 32295, 13776, 15099, 267, 2029, 1299, 7004, 585, 606, 7164, 2104, 269, 18619, 6789, 5746, 299, 25492, 17638, 476, 1001, 271, 630, 653, 269, 476, 4037, 268, 10436, 1040, 8158, 689, 5291, 2517, 2444, 559, 924, 3820, 269, 14193, 270, 20813, 3720, 270, 1910, 17036, 1015, 24579, 14369, 270, 6826, 518, 268, 21459, 15005, 454, 289, 5979, 558, 267, 645, 2529, 1421, 1621, 548, 28496, 267, 631, 11065, 1421, 674, 32231, 267, 661, 12282, 1421, 10830, 267, 654, 13034, 1421, 1299, 918, 337, 987, 342, 2129, 331, 267, 667, 10611, 269, 630, 4198, 277, 1040, 12525, 16860, 540, 3872, 6859, 281, 634, 8760, 540, 3872, 3853, 269, 18361, 594, 281, 634, 5042, 6389, 269, 1715, 312, 1251, 281, 7043, 2006, 563, 10111, 639, 334, 267, 808, 269, 645, 269, 630, 1220, 277, 1040, 25732, 2875, 2833, 609, 1576, 2359, 1949, 269, 10566, 2752, 3194, 28743, 267, 476, 1220, 277, 263, 866, 1040, 8158, 689, 5291, 2517, 6339, 269, 14445, 1021, 12975, 270, 597, 15828, 3869, 9706, 4206, 270, 18317, 289, 6187, 272, 280, 15005, 454, 10111, 639, 334, 267, 808, 269, 645, 1421, 1299, 918, 341, 822, 1731, 267, 681, 269, 630, 1220, 276, 1040, 10566, 2752, 1353, 540, 1053, 543, 1344, 2029, 476, 1220, 276, 281, 1230, 1597, 1466, 267, 4276, 267, 1852, 267, 543, 1565, 269, 11581, 308, 7563, 27516, 269, 8158, 689, 5291, 2517, 1921, 269, 14445, 1021, 12975, 13624, 3869, 270, 4488, 2752, 270, 4488, 2752, 19138, 1993, 10743, 663, 14813, 270, 30329, 6795, 454, 22013, 720, 267, 595, 269, 1299, 631, 731, 320, 267, 715, 269, 630, 1960, 276, 1040, 10326, 540, 519, 17250, 269, 769, 631, 269, 13428, 576, 267, 1299, 631, 269, 23625, 630, 32295, 4700, 3447, 908, 16413, 630, 653, 269, 476, 5038, 268, 6858, 1040, 4279, 6628, 281, 9142, 661, 1885, 563, 2710, 615, 1399, 267, 700, 269, 630, 1220, 276, 267, 5239, 476, 272, 1040, 7316, 10600, 2458, 728, 543, 10453, 4734, 3610, 3297, 269, 17638, 27450, 670, 14283, 269, 8158, 689, 5291, 2517, 4178, 4732, 332, 327, 2593, 28898, 30406, 14672, 1049, 270, 3602, 268, 10600, 2275, 3326, 728, 7146, 1790, 1575, 2812, 6122, 1511, 14482, 18291, 1532, 12317, 785, 270, 1220, 276, 270, 6021, 270, 1789, 270, 12208, 278, 3199, 5379, 277, 29483, 275, 11258, 454, 291, 583, 2023, 267, 808, 1421, 667, 583, 2023, 267, 631, 1421, 1299, 31473, 267, 808, 269, 630, 1220, 273, 264, 1215, 798, 2228, 1053, 8428, 689, 11000, 1053, 286, 4750, 540, 1306, 2106, 28942, 4804, 8416, 267, 476, 277, 263, 272, 1070, 476, 272, 1700, 736, 563, 298, 601, 345, 267, 589, 269, 630, 1220, 280, 1040, 661, 6441, 792, 940, 2994, 538, 2930, 851, 6066, 2090, 693, 28941, 25968, 2378, 15505, 281, 589, 9793, 4020, 22999, 1935, 547, 1565, 543, 3450, 269, 4139, 4750, 540, 11628, 23654, 4804, 267, 476, 273, 263, 272, 1070, 476, 1839, 268, 1789, 563, 298, 523, 15326, 267, 717, 1421, 808, 3291, 267, 570, 1421, 5783, 1189, 267, 589, 1421, 22630, 267, 918, 1421, 1299, 26689, 2224, 267, 918, 269, 630, 1220, 279, 1040, 3689, 1032, 1053, 685, 2833, 609, 2029, 281, 3657, 789, 2731, 3059, 25165, 286, 3851, 22057, 4750, 540, 12409, 5303, 267, 476, 2190, 263, 272, 1070, 476, 10482, 268, 14338, 563, 298, 571, 2224, 267, 918, 1421, 630, 1220, 276, 1040, 634, 4657, 2875, 1995, 281, 5808, 779, 6117, 621, 543, 1141, 568, 621, 2469, 286, 3223, 2106, 1774, 1957, 4843, 693, 9906, 15232, 10985, 281, 6153, 6657, 538, 6657, 267, 476, 276, 268, 278, 5181, 267, 8176, 853, 4669, 2160, 267, 25538, 8615, 25538, 8615, 267, 29517, 563, 298, 571, 2224, 267, 918, 1421, 19134, 2917, 267, 681, 1421, 6276, 267, 681, 269, 1299, 5062, 1103, 23036, 267, 595, 269, 630, 1220, 276, 1040, 634, 1101, 1032, 1995, 538, 8241, 9945, 281, 28454, 689, 513, 8717, 540, 3084, 2090, 269, 2052, 828, 571, 281, 8241, 4972, 540, 4065, 267, 3163, 543, 9751, 563, 8867, 267, 589, 1421, 11835, 867, 839, 267, 590, 1421, 932, 24075, 739, 558, 537, 267, 590, 1421, 1299, 6182, 4883, 749, 267, 681, 630, 1001, 271, 1040, 6732, 11000, 10333, 543, 922, 3310, 593, 2773, 538, 1983, 2861, 6030, 269, 23675, 1299, 4065, 267, 476, 4649, 263, 272, 1070, 476, 27123, 268, 476, 29204, 563, 299, 773, 321, 267, 590, 269, 630, 1960, 272, 1040, 14362, 540, 2937, 1565, 269, 966, 3041, 12778, 630, 293, 718, 476, 1960, 272, 1040, 8158, 689, 5291, 2517, 4378, 565, 21343, 19544, 1177, 2967, 328, 12975, 270, 842, 3757, 564, 270, 1260, 2466, 21164, 22077, 659, 28319, 4467, 270, 7666, 728, 321, 330, 270, 974, 25638, 760, 270, 611, 6699, 268, 273, 21867, 454, 299, 648, 333, 15605, 267, 717, 1421, 5136, 1782, 518, 267, 667, 1421, 1299, 667, 17844, 889, 534, 267, 595, 269, 630, 1220, 277, 1040, 1215, 3903, 267, 1071, 268, 21551, 267, 543, 2528, 616, 4657, 1018, 621, 1797, 547, 581, 2121, 5260, 11803, 269, 11581, 308, 7563, 27516, 22588, 569, 267, 476, 1789, 263, 272, 1040, 8158, 689, 5291, 2517, 6618, 269, 14445, 1021, 12975, 13624, 3869, 270, 3633, 308, 7563, 27516, 266, 5226, 6621, 569, 270, 1215, 2419, 4069, 10870, 290, 516, 566, 663, 290, 592, 270, 6110, 5400, 454, 18250, 10111, 20321, 267, 808, 269, 630, 1220, 280, 320, 1040, 2349, 2056, 5691, 543, 2168, 13460, 547, 3986, 519, 1101, 1032, 1995, 269, 769, 23893, 4025, 267, 1114, 5624, 269, 18619, 607, 4290, 924, 589, 3089, 1633, 476, 1220, 280, 563, 18250, 10111, 20321, 267, 808, 269, 630, 1220, 280, 321, 1040, 13139, 2358, 9365, 281, 9284, 532, 19087, 25286, 1053, 883, 1101, 1032, 6280, 269, 23908, 334, 267, 476, 272, 263, 273, 1070, 476, 4375, 268, 5392, 563, 300, 12011, 1794, 4141, 267, 570, 1421, 1299, 18722, 267, 570, 269, 630, 1001, 271, 1040, 4804, 4093, 543, 1053, 685, 11994, 540, 2228, 1603, 281, 30027, 748, 6388, 540, 513, 8468, 267, 5816, 267, 543, 530, 5942, 538, 606, 661, 14566, 20762, 1565, 4259, 269, 4139, 4750, 540, 12409, 5303, 543, 11930, 23008, 2524, 267, 476, 4343, 263, 273, 1070, 476, 6977, 268, 1960, 563, 11917, 1782, 518, 267, 667, 269, 630, 1220, 274, 1040, 4425, 12002, 267, 2637, 29930, 619, 1299, 7085, 3317, 10118, 269, 4197, 519, 1007, 1053, 269, 11581, 308, 7563, 27516, 5623, 267, 476, 4343, 263, 275, 1070, 476, 4391, 268, 5325, 269, 8158, 689, 5291, 2517, 4178, 269, 14445, 1021, 12975, 270, 597, 15828, 3869, 270, 7824, 270, 2207, 300, 271, 4097, 273, 15005, 454, 303, 545, 3712, 328, 267, 717, 1421, 13259, 24703, 267, 681, 1421, 1299, 594, 1407, 267, 645, 269, 630, 1220, 272, 1040, 5680, 2861, 5691, 1565, 5054, 281, 589, 1382, 5943, 543, 513, 16861, 4879, 540, 7145, 538, 2596, 8668, 1983, 2866, 269, 631, 3041, 22588, 569, 267, 476, 1839, 263, 275, 1070, 476, 25148, 268, 275, 2918, 563, 7093, 985, 5652, 267, 631, 269, 630, 1220, 272, 320, 1040, 7913, 25165, 267, 3059, 11082, 269, 2201, 634, 21222, 517, 267, 476, 280, 263, 276, 1040, 623, 1066, 802, 344, 267, 631, 269, 630, 1220, 272, 321, 1040, 7913, 25165, 267, 3059, 11082, 267, 3487, 4083, 281, 1684, 789, 2731, 1589, 454, 18528, 5166, 569, 286, 2201, 519, 21222, 517, 267, 476, 280, 263, 277, 1040, 8158, 689, 5291, 2517, 4178, 6230, 2117, 2181, 985, 5652, 2593, 270, 8586, 13045, 7093, 985, 5652, 260, 736, 268, 260, 736, 19445, 260, 736, 301, 2510, 267, 260, 736, 19445, 260, 736, 3412, 332, 580, 7847, 260, 736, 268, 260, 736, 8512, 273, 15005, 2776, 985, 5652, 267, 631, 269, 630, 1220, 278, 1040, 1215, 547, 4001, 609, 2029, 281, 18227, 1312, 3610, 543, 1053, 6899, 538, 606, 5736, 540, 12825, 1689, 269, 24021, 16370, 585, 4804, 267, 5292, 269, 476, 273, 563, 305, 340, 714, 267, 808, 1421, 631, 842, 10045, 267, 631, 1421, 1299, 9129, 28086, 267, 590, 269, 630, 1220, 277, 1040, 4804, 3615, 538, 2564, 2069, 269, 6481, 11819, 267, 476, 2764, 263, 278, 1070, 476, 276, 4200, 268, 2568, 276, 563, 2791, 12564, 630, 1220, 279, 1040, 1215, 547, 595, 7838, 299, 707, 4552, 609, 986, 7714, 269, 8158, 689, 5291, 2517, 4178, 28938, 269, 635, 11320, 2255, 286, 341, 284, 327, 343, 326, 342, 321, 310, 322, 276, 312, 12685, 454, 2791, 12564, 630, 1001, 272, 1040, 4635, 519, 16629, 1470, 535, 343, 268, 11025, 2464, 9498, 9509, 23722, 5748, 5850, 609, 930, 2362, 1570, 269, 8158, 689, 5291, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 290, 304, 304, 302, 278, 324, 293, 313, 296, 272, 288, 0, 10403, 6732, 4530, 454, 8698, 2859, 13565, 7726, 454, 272, 264, 6904, 540, 519, 1739, 8823, 1590, 581, 18589, 1117, 1082, 2053, 829, 2034, 888, 273, 264, 634, 1034, 4122, 1031, 3044, 1239, 3009, 547, 2099, 9904, 673, 267, 10230, 543, 18685, 3197, 1031, 538, 5907, 1239, 4393, 1062, 568, 1572, 454, 274, 264, 6904, 568, 519, 5207, 1106, 888, 275, 264, 589, 1305, 540, 1344, 602, 11225, 519, 4567, 540, 2200, 21248, 547, 513, 1184, 568, 454, 276, 264, 589, 4859, 1858, 1031, 547, 4558, 1239, 547, 513, 22771, 585, 519, 3017, 538, 3432, 693, 799, 519, 1114, 4559, 666, 6023, 1239, 568, 0, 22102, 1651, 2888, 1450, 585, 5458, 2640, 269, 6258, 875, 891, 1079, 6391, 2553, 616, 2147, 543, 1114, 543, 950, 789, 2461, 3617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6524, 17259, 883, 5574, 267, 621, 779, 1898, 547, 1174, 519, 2470, 540, 1612, 17383, 269, 898, 779, 513, 3810, 21380, 3644, 7133, 5243, 267, 15866, 29067, 267, 1063, 3670, 4374, 543, 3670, 3275, 2025, 269, 901, 2068, 16716, 3728, 543, 666, 1291, 547, 4049, 2589, 971, 607, 8611, 267, 29723, 1173, 344, 267, 13481, 267, 26481, 13165, 267, 543, 2530, 540, 14031, 563, 13640, 17383, 10644, 281, 2659, 7454, 5975, 454, 7093, 3685, 568, 1732, 982, 10826, 267, 2523, 950, 7231, 609, 513, 3978, 2068, 899, 1612, 17383, 269, 17261, 1588, 3788, 519, 1034, 2500, 1259, 547, 2061, 713, 14603, 4576, 269, 5457, 267, 1612, 17383, 568, 1454, 4443, 547, 2061, 982, 621, 568, 547, 1521, 563, 1432, 547, 1684, 1403, 2659, 13928, 13201, 3474, 17383, 454, 2005, 779, 2629, 547, 1832, 538, 2247, 602, 1247, 930, 3268, 666, 581, 3144, 693, 1753, 547, 1489, 513, 4620, 7092, 689, 1612, 17383, 267, 1753, 2126, 568, 711, 513, 16798, 3070, 267, 6862, 513, 10682, 585, 18915, 1416, 269, 3474, 17383, 568, 1272, 18446, 543, 3340, 3318, 2564, 3007, 269, 1403, 18915, 1416, 568, 11613, 711, 606, 4781, 267, 1934, 616, 930, 1919, 596, 666, 2119, 563, 272, 269, 10281, 1674, 8081, 454, 3080, 540, 519, 3119, 6937, 1612, 17383, 13514, 547, 707, 4620, 779, 1072, 568, 18024, 267, 513, 1267, 540, 4049, 13481, 543, 13165, 269, 18227, 707, 2915, 19872, 568, 2565, 269, 1411, 666, 1683, 5711, 556, 5139, 1674, 3435, 899, 16677, 658, 344, 974, 547, 25579, 880, 32690, 269, 1717, 267, 16550, 15559, 950, 707, 4620, 568, 13481, 666, 22009, 519, 3510, 269, 2422, 513, 861, 16206, 543, 2285, 1507, 5666, 693, 513, 942, 563, 273, 269, 715, 26798, 8081, 454, 31010, 707, 2915, 779, 4222, 568, 2629, 1282, 713, 942, 269, 4400, 7779, 267, 3362, 7558, 1043, 3536, 616, 1655, 269, 1403, 707, 2915, 31439, 547, 3548, 267, 2015, 8023, 873, 513, 18915, 25535, 8282, 2732, 5078, 585, 6051, 269, 9540, 5666, 540, 513, 1025, 663, 2732, 267, 971, 607, 23017, 9269, 543, 7573, 267, 949, 849, 581, 7109, 730, 563, 274, 269, 11162, 17349, 543, 1290, 3228, 454, 30789, 707, 4620, 779, 1604, 2973, 568, 2629, 538, 7303, 519, 3262, 540, 519, 3644, 269, 17115, 2973, 7252, 609, 513, 6926, 778, 3070, 607, 1612, 17383, 666, 2661, 593, 7252, 585, 3275, 269, 5269, 2386, 707, 4620, 814, 513, 6899, 267, 3636, 1747, 547, 1964, 563, 275, 269, 3683, 7308, 4211, 3300, 3816, 12203, 454, 5278, 4620, 5411, 723, 6836, 936, 7308, 23716, 4550, 26817, 1551, 515, 531, 543, 4550, 5991, 13835, 6527, 267, 855, 741, 12117, 568, 7334, 543, 789, 666, 723, 2427, 2360, 269, 11408, 5077, 609, 513, 17022, 1354, 28720, 891, 563, 276, 269, 4425, 24031, 10281, 1674, 281, 15332, 4826, 454, 2026, 5018, 267, 1612, 341, 21552, 666, 16094, 13204, 3433, 707, 2915, 1813, 547, 7928, 13481, 543, 13165, 269, 14755, 1216, 267, 596, 666, 2709, 707, 2915, 796, 4148, 822, 1819, 16677, 658, 344, 974, 610, 1256, 26185, 269, 1452, 12862, 616, 811, 14312, 543, 2270, 1898, 32690, 267, 4543, 2226, 519, 2915, 779, 20697, 1377, 269, 898, 779, 1898, 547, 17982, 891, 12862, 7444, 543, 538, 1507, 9424, 547, 2057, 13347, 1154, 519, 2915, 779, 7181, 2417, 563, 277, 269, 715, 26798, 19047, 281, 3245, 20497, 547, 13067, 17360, 454, 31010, 7850, 6484, 568, 513, 1713, 4161, 2094, 1612, 17383, 5243, 1419, 6336, 741, 14031, 269, 20497, 569, 2139, 6051, 2915, 1426, 12596, 666, 581, 513, 1434, 3903, 1813, 547, 741, 1164, 9422, 1543, 2966, 585, 7210, 10130, 269, 769, 519, 9000, 540, 891, 267, 513, 19471, 1025, 663, 2732, 540, 23017, 9269, 610, 21429, 543, 7573, 666, 948, 269, 2368, 4620, 5411, 723, 849, 1336, 1967, 1210, 513, 1164, 23343, 12929, 9422, 15074, 267, 799, 666, 581, 12349, 689, 4620, 3761, 8637, 563, 278, 269, 18789, 3474, 17383, 6363, 18017, 3816, 12203, 454, 6624, 4620, 5411, 1413, 585, 2067, 2081, 547, 948, 741, 5243, 4339, 1055, 519, 3644, 269, 1452, 14319, 267, 4352, 711, 23963, 8810, 547, 10826, 1612, 17383, 267, 949, 948, 13468, 930, 2589, 543, 1683, 4313, 547, 707, 4620, 269, 1280, 3236, 267, 9106, 558, 850, 7401, 1522, 948, 9350, 707, 2915, 779, 13347, 7181, 267, 543, 621, 779, 2922, 585, 5243, 538, 1507, 5666, 269, 3807, 1118, 2386, 519, 7401, 814, 4625, 22799, 1354, 5356, 621, 547, 707, 4620, 563, 279, 269, 5113, 5842, 527, 1436, 281, 13363, 2659, 13268, 454, 13640, 17383, 568, 3810, 21380, 543, 14388, 267, 17005, 593, 7252, 585, 3275, 269, 1403, 596, 723, 824, 5243, 267, 7863, 873, 689, 519, 3644, 568, 2565, 269, 17115, 2973, 782, 7252, 707, 2915, 814, 20109, 267, 2523, 8023, 26633, 267, 28945, 267, 543, 9162, 267, 609, 513, 6926, 778, 3070, 269, 5901, 538, 2247, 602, 2834, 21149, 1218, 1419, 5749, 1406, 2614, 547, 6146, 519, 1612, 17383, 3644, 563, 280, 269, 28066, 2657, 281, 11525, 7821, 547, 519, 1763, 26443, 454, 763, 22578, 1612, 341, 21552, 5097, 5540, 519, 16063, 8778, 267, 3056, 547, 4049, 6553, 543, 9636, 269, 11525, 7821, 666, 581, 6225, 538, 19620, 2635, 8937, 18508, 543, 20993, 519, 4761, 1062, 269, 15742, 12490, 267, 971, 607, 32587, 984, 26808, 543, 645, 604, 573, 14385, 1756, 267, 666, 581, 2523, 5363, 269, 1717, 267, 621, 779, 2141, 8797, 547, 5077, 513, 17022, 1354, 28720, 22763, 547, 513, 7210, 2915, 563, 12507, 13501, 18776, 281, 20050, 540, 18401, 454, 7628, 713, 4101, 1974, 267, 621, 779, 2629, 547, 5702, 6895, 707, 2915, 779, 2783, 269, 20050, 540, 6051, 1331, 519, 2132, 540, 14031, 267, 4389, 13481, 267, 543, 2799, 1648, 2157, 269, 1717, 267, 1810, 1406, 581, 5360, 8809, 952, 707, 2915, 6238, 6029, 6454, 269, 15566, 519, 11215, 1416, 2394, 519, 2915, 568, 4625, 16626, 267, 607, 882, 22663, 666, 2049, 563, 6962, 281, 16418, 27259, 5516, 454, 2005, 779, 2629, 547, 556, 30185, 602, 1247, 891, 3268, 666, 1683, 930, 1489, 547, 513, 4620, 7092, 689, 1612, 17383, 267, 789, 798, 711, 5372, 519, 991, 585, 3318, 18915, 1416, 269, 9453, 2126, 267, 22578, 1612, 341, 21552, 1419, 3587, 513, 14603, 2068, 267, 3056, 547, 4049, 18024, 267, 8710, 267, 543, 2669, 269, 1306, 513, 3743, 4620, 8227, 267, 707, 4620, 779, 1072, 543, 1134, 5630, 1058, 581, 707, 1283, 10862, 269, 1403, 693, 782, 2009, 267, 5225, 3343, 18915, 1416, 585, 707, 4620, 563, 304, 281, 2052, 1411, 30205, 513, 13928, 779, 21210, 3590, 4438, 3474, 17383, 888, 288, 281, 8786, 267, 20993, 707, 2915, 779, 4761, 1062, 666, 581, 6225, 1282, 513, 1612, 17383, 3968, 269, 1411, 666, 798, 713, 676, 4180, 789, 723, 7850, 6484, 543, 20697, 269, 4400, 7779, 5946, 267, 15060, 268, 274, 9761, 7408, 267, 543, 8324, 589, 267, 595, 267, 543, 661, 616, 782, 1634, 547, 948, 3986, 519, 4761, 3210, 269, 2368, 936, 7308, 23716, 4761, 1489, 9360, 585, 5243, 616, 849, 2139, 267, 855, 596, 1058, 5077, 609, 513, 16943, 1354, 28720, 1022, 563, 304, 281, 1215, 10705, 9701, 594, 12315, 3733, 13928, 12071, 1749, 952, 1358, 5620, 3474, 17383, 888, 288, 281, 634, 4908, 540, 5714, 7245, 5673, 593, 519, 10335, 540, 707, 2915, 779, 18024, 269, 1717, 267, 621, 779, 3622, 6700, 547, 2285, 1507, 5666, 540, 12862, 1169, 1906, 3108, 269, 3680, 16550, 1804, 5666, 540, 5714, 693, 2899, 267, 607, 713, 666, 1291, 547, 13481, 543, 22009, 18024, 269, 13772, 585, 4191, 540, 20697, 899, 5848, 14779, 543, 3339, 2960, 22786, 563, 304, 281, 1548, 9701, 594, 1684, 952, 3733, 13928, 4676, 4926, 547, 16202, 888, 288, 281, 3474, 17383, 666, 2014, 4049, 2530, 540, 14031, 538, 5243, 269, 1403, 707, 2915, 31439, 547, 3548, 267, 2119, 5356, 873, 513, 1025, 663, 2732, 540, 23017, 9269, 543, 7573, 267, 799, 666, 581, 4443, 593, 519, 7181, 269, 30839, 1507, 5666, 811, 4749, 666, 849, 948, 269, 1403, 707, 2915, 1869, 31439, 547, 3548, 267, 621, 949, 581, 2556, 547, 5077, 609, 513, 17022, 267, 607, 4049, 22926, 666, 635, 12393, 6051, 563, 304, 281, 1215, 2052, 594, 5901, 3733, 4033, 17268, 15822, 952, 2290, 13201, 3474, 17383, 888, 288, 281, 3474, 17383, 568, 3810, 21380, 1851, 5243, 269, 1403, 835, 540, 707, 5243, 814, 1044, 8995, 267, 20586, 873, 689, 707, 824, 10130, 5612, 269, 17115, 2973, 3838, 5624, 543, 3688, 267, 899, 9162, 543, 1426, 26633, 267, 609, 513, 6926, 778, 3070, 547, 6146, 519, 3644, 269, 5457, 547, 1832, 707, 824, 5243, 685, 25750, 909, 547, 4266, 547, 2061, 873, 689, 24931, 519, 3644, 563, 304, 281, 1215, 7043, 6496, 898, 6875, 585, 513, 13928, 547, 5589, 1478, 689, 3474, 17383, 888, 288, 281, 634, 6051, 942, 585, 1612, 17383, 9775, 4922, 4470, 593, 519, 10335, 540, 519, 2068, 543, 519, 2915, 779, 2949, 1072, 269, 2368, 5243, 949, 1376, 547, 2087, 1369, 513, 1906, 2395, 540, 2126, 267, 1247, 1866, 949, 1491, 513, 3018, 610, 811, 269, 13159, 6051, 267, 1141, 519, 2915, 568, 4189, 7363, 543, 1394, 547, 741, 2834, 1582, 267, 666, 1491, 1896, 4374, 269, 19171, 5464, 543, 5812, 11215, 1416, 616, 2565, 1282, 713, 1974, 563, 304, 281, 2052, 3474, 17383, 1234, 2017, 538, 513, 13928, 2991, 18401, 888, 288, 281, 13575, 267, 5243, 945, 723, 16626, 689, 1612, 17383, 1020, 12046, 547, 519, 3644, 543, 798, 711, 1205, 621, 1586, 269, 1717, 267, 621, 779, 2009, 585, 873, 547, 8774, 519, 3644, 538, 741, 28797, 585, 513, 1906, 4374, 1310, 6051, 267, 799, 1223, 5732, 3468, 824, 5243, 269, 8617, 7738, 543, 771, 26529, 616, 4105, 547, 2061, 519, 3262, 540, 519, 3644, 563, 304, 281, 2052, 18972, 5192, 3474, 17383, 689, 17268, 888, 288, 281, 3143, 267, 22578, 1612, 341, 21552, 3112, 581, 10299, 547, 3425, 269, 898, 568, 513, 2915, 10391, 4576, 602, 5097, 5540, 796, 341, 3147, 3990, 29067, 269, 1717, 267, 3425, 666, 538, 30541, 1836, 3262, 519, 3644, 676, 8876, 621, 593, 741, 10887, 610, 7802, 689, 606, 7783, 1604, 547, 513, 2973, 835, 267, 5732, 20392, 824, 5243, 547, 519, 3644, 563, 304, 281, 2052, 513, 17261, 3990, 13928, 5192, 3474, 17383, 888, 288, 281, 2755, 25750, 3648, 2569, 519, 8458, 540, 513, 2915, 24931, 1612, 17383, 267, 789, 798, 711, 10018, 476, 1911, 260, 4027, 269, 769, 4686, 2665, 267, 513, 4628, 18764, 2915, 949, 1869, 4579, 519, 2068, 267, 3226, 952, 789, 616, 6534, 547, 513, 1360, 1164, 3644, 4452, 610, 952, 741, 4761, 1062, 568, 19847, 269, 8617, 26259, 15833, 616, 1898, 547, 4509, 12046, 563, 304, 281, 3657, 15742, 13928, 6601, 2644, 2859, 12246, 1061, 1043, 547, 3474, 17383, 888, 288, 281, 2052, 710, 1612, 341, 21552, 666, 3468, 5243, 540, 782, 14981, 269, 1717, 267, 1978, 14981, 267, 1519, 681, 2714, 933, 32078, 267, 1684, 828, 2006, 623, 1231, 7129, 267, 1977, 16065, 867, 28790, 6833, 13205, 267, 543, 4436, 2701, 17731, 1091, 267, 3100, 547, 581, 693, 2362, 1981, 585, 3384, 4049, 2068, 563, 304, 281, 1215, 2052, 594, 2598, 17126, 3733, 5851, 2991, 513, 3474, 17383, 4934, 19874, 888, 288, 281, 3474, 341, 21552, 568, 11212, 14388, 543, 666, 2661, 538, 519, 1604, 585, 3275, 269, 8617, 7622, 2973, 619, 1419, 4465, 1406, 6146, 519, 3644, 269, 589, 3070, 540, 835, 851, 6926, 778, 547, 476, 1789, 2694, 1216, 568, 3335, 2500, 693, 11318, 519, 3644, 593, 2182, 7252, 269, 9941, 7252, 899, 15790, 1115, 267, 15081, 565, 20712, 267, 543, 2915, 15135, 666, 581, 811, 4101, 547, 21149, 543, 949, 991, 547, 581, 8719, 563, 304, 281, 2052, 513, 13928, 28150, 16332, 640, 547, 3474, 17383, 28900, 888, 288, 281, 17268, 602, 7639, 513, 1612, 17383, 3968, 3335, 1020, 12046, 547, 519, 3644, 543, 616, 12691, 547, 4579, 621, 1586, 269, 1717, 267, 789, 666, 1869, 8774, 519, 3644, 538, 741, 28797, 585, 513, 1906, 4374, 1310, 6051, 267, 5732, 3468, 532, 824, 5243, 269, 8617, 7738, 543, 771, 26529, 2853, 616, 2556, 547, 2061, 519, 3262, 540, 519, 3644, 563, 304, 281, 1215, 7043, 6496, 3474, 17383, 13773, 538, 513, 13928, 779, 3590, 888, 288, 281, 634, 3644, 3335, 3788, 538, 513, 2915, 779, 1062, 585, 827, 476, 274, 547, 476, 275, 4374, 1310, 519, 12614, 540, 519, 2068, 269, 4438, 713, 942, 267, 519, 2915, 568, 1869, 11763, 547, 1866, 269, 8617, 7738, 543, 771, 26529, 616, 2556, 547, 2061, 519, 3262, 540, 519, 3644, 1282, 713, 1974, 563, 304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3246, 1134, 28394, 2331, 6980, 267, 789, 4718, 9283, 538, 2949, 1646, 543, 1648, 2157, 269, 3683, 942, 267, 789, 4362, 602, 8023, 1447, 2943, 811, 4749, 2965, 28322, 1312, 519, 3165, 543, 519, 1604, 2439, 2026, 2395, 5828, 883, 4374, 267, 789, 2219, 789, 1185, 27058, 6864, 2378, 9879, 2394, 835, 12556, 995, 6640, 950, 13479, 16765, 809, 741, 10475, 32420, 15135, 269, 6736, 782, 741, 2182, 960, 267, 2470, 1869, 14281, 873, 269, 4014, 771, 24711, 2989, 267, 789, 6956, 602, 1169, 4161, 4547, 4245, 1107, 3006, 6397, 3283, 269, 769, 519, 1439, 267, 938, 12703, 2468, 334, 12247, 539, 547, 1451, 267, 3082, 267, 543, 1332, 7258, 741, 5863, 12748, 1158, 267, 8508, 8726, 7455, 27750, 12624, 7186, 1131, 12235, 1985, 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, 18658, 616, 519, 2591, 540, 29867, 8105, 543, 875, 666, 789, 581, 7753, 888, 272, 269, 4826, 10866, 5004, 281, 18648, 1216, 2298, 666, 1267, 538, 513, 5786, 538, 3165, 2208, 543, 1072, 267, 2333, 519, 10171, 540, 9190, 543, 10194, 5563, 543, 824, 3676, 269, 901, 666, 581, 7753, 998, 1697, 1216, 2126, 543, 2359, 267, 4509, 2973, 1216, 543, 5355, 519, 2298, 998, 1732, 513, 3130, 267, 543, 2834, 5464, 547, 3713, 543, 2232, 1022, 2152, 780, 273, 269, 8376, 5004, 281, 15302, 666, 3262, 3533, 538, 29867, 1949, 3056, 547, 7372, 9271, 269, 6153, 1979, 846, 2579, 2853, 267, 9882, 3800, 543, 2834, 8343, 267, 2126, 267, 543, 1697, 31741, 10873, 666, 948, 1852, 519, 3262, 540, 3676, 780, 274, 269, 12594, 543, 30839, 281, 715, 26798, 1202, 340, 11797, 610, 19261, 666, 2569, 2208, 3928, 543, 1291, 547, 4731, 333, 712, 1639, 3165, 269, 21278, 513, 7059, 2732, 602, 10742, 519, 2115, 540, 519, 3165, 568, 1271, 267, 543, 3049, 1058, 581, 9862, 547, 519, 4657, 2115, 540, 519, 3165, 2551, 780, 275, 269, 7025, 12246, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 594, 729, 9361, 693, 1250, 11380, 267, 29957, 998, 2943, 1776, 2228, 8468, 7234, 2081, 19294, 2419, 288, 630, 300, 990, 574, 1304, 334, 6480, 644, 5050, 559, 932, 4618, 343, 632, 10897, 339, 331, 17505, 264, 1223, 2087, 741, 20261, 547, 4482, 513, 9962, 5304, 269, 1306, 2576, 945, 5249, 5702, 609, 519, 3919, 267, 594, 7948, 1405, 948, 855, 1745, 16539, 538, 4466, 3435, 269, 1809, 607, 606, 25644, 3200, 267, 11589, 1250, 1378, 4978, 593, 519, 2339, 7012, 1405, 1945, 594, 5433, 6899, 3257, 269, 1924, 3079, 267, 594, 4956, 547, 29289, 513, 1592, 540, 1761, 2994, 1759, 593, 1866, 262, 2093, 267, 15691, 621, 1522, 8141, 6667, 1369, 519, 1895, 780, 2026, 594, 1224, 1394, 936, 1018, 594, 1185, 2854, 267, 2519, 593, 13784, 267, 5807, 12352, 267, 9750, 5867, 267, 10771, 4052, 3156, 267, 543, 8716, 5188, 267, 594, 7691, 972, 729, 835, 2629, 3693, 7508, 689, 891, 10372, 910, 6568, 269, 17610, 267, 789, 941, 1390, 4358, 2798, 267, 855, 1510, 5963, 1620, 543, 8220, 609, 519, 3309, 5380, 3544, 938, 2146, 267, 649, 1981, 539, 9813, 908, 1346, 1360, 2043, 649, 4941, 547, 3142, 6251, 780, 3383, 267, 594, 3773, 513, 1007, 1448, 547, 1250, 1592, 281, 834, 277, 269, 18918, 538, 3742, 6947, 1701, 901, 2856, 3366, 803, 1524, 513, 15529, 8559, 540, 8086, 827, 513, 942, 950, 594, 8959, 547, 2259, 3742, 6947, 8885, 269, 898, 5949, 1282, 513, 5870, 1063, 19294, 2419, 288, 543, 513, 15231, 11806, 266, 2924, 1895, 269, 1284, 1312, 3838, 1455, 2666, 538, 14223, 960, 855, 17388, 547, 1265, 9322, 1813, 547, 18312, 14422, 780, 7628, 835, 3226, 12699, 5385, 267, 513, 4759, 540, 519, 11806, 266, 1895, 6829, 17140, 2509, 19294, 2419, 288, 781, 1445, 593, 5824, 343, 2152, 1247, 9583, 24937, 28622, 269, 2311, 519, 4090, 267, 594, 4769, 1405, 4628, 9787, 1200, 5133, 1107, 1310, 782, 267, 3884, 1405, 19294, 2419, 288, 8165, 585, 3160, 3255, 585, 3571, 3966, 923, 286, 1717, 267, 2864, 982, 22992, 6947, 543, 5275, 547, 1174, 1141, 1352, 729, 4947, 689, 267, 594, 2968, 17872, 543, 14962, 633, 269, 3776, 6643, 8694, 23589, 569, 267, 6028, 3983, 1973, 1063, 721, 780, 19185, 1394, 1631, 267, 594, 6999, 594, 1185, 3144, 519, 942, 547, 6432, 8362, 267, 2307, 2055, 267, 543, 1451, 689, 1200, 2833, 269, 1635, 3257, 865, 267, 711, 1152, 1223, 594, 723, 6591, 3407, 4030, 883, 519, 9620, 5185, 676, 2818, 540, 519, 11806, 266, 2146, 267, 855, 849, 4362, 2081, 547, 1628, 13123, 543, 1711, 6209, 4296, 780, 21615, 571, 1424, 6568, 1797, 14344, 602, 1169, 1268, 814, 2189, 2833, 8032, 676, 1585, 2188, 971, 607, 5198, 267, 4008, 3961, 267, 4638, 10066, 267, 14227, 4567, 267, 2702, 267, 543, 811, 269, 1879, 13167, 938, 5048, 267, 649, 1590, 2015, 891, 1367, 14485, 543, 2327, 3025, 7959, 2938, 267, 4862, 267, 543, 12595, 269, 8307, 1287, 786, 19294, 2419, 288, 5963, 2253, 547, 13469, 609, 513, 6626, 5304, 780, 28885, 28450, 2792, 568, 1898, 585, 3356, 282, 6382, 267, 649, 949, 28511, 6498, 16662, 1549, 958, 269, 3414, 9758, 4276, 543, 5698, 267, 19294, 2419, 288, 666, 1831, 606, 1256, 6793, 3196, 585, 2318, 1689, 267, 8840, 1524, 7496, 543, 2679, 17604, 2066, 1114, 2950, 269, 1656, 5310, 1034, 11932, 267, 2502, 538, 3742, 6947, 2636, 721, 547, 1332, 607, 2043, 267, 5807, 8994, 2463, 543, 1620, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 666, 19294, 2419, 288, 1732, 24808, 922, 5048, 547, 9029, 547, 513, 9962, 5304, 888, 296, 1810, 1405, 723, 1022, 2123, 8369, 270, 10964, 3971, 338, 269, 2705, 267, 1934, 616, 930, 10372, 585, 803, 15939, 547, 1732, 24808, 922, 5048, 543, 9029, 547, 513, 9962, 5304, 1384, 272, 269, 946, 811, 8537, 1893, 281, 803, 15939, 666, 9029, 547, 513, 9962, 5304, 676, 1210, 8537, 1893, 602, 14753, 547, 1004, 540, 782, 25469, 267, 14797, 543, 6803, 885, 780, 273, 269, 6536, 12352, 281, 803, 15939, 666, 12840, 609, 824, 3906, 543, 5322, 602, 2671, 2147, 3853, 543, 2418, 269, 713, 1131, 948, 538, 2810, 922, 3914, 543, 5304, 780, 274, 269, 4228, 922, 3760, 281, 676, 9001, 1514, 2923, 5867, 543, 2228, 12326, 267, 803, 15939, 666, 3914, 513, 6626, 5304, 11451, 780, 275, 269, 5031, 519, 4052, 3156, 540, 922, 6835, 281, 803, 15939, 666, 1732, 24808, 922, 5048, 676, 10223, 875, 922, 3527, 267, 4507, 267, 543, 7341, 14377, 883, 15889, 2640, 538, 2199, 1010, 13732, 2950, 780, 276, 269, 5000, 5188, 267, 4901, 543, 7521, 281, 676, 5009, 1930, 5188, 267, 803, 15939, 679, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 476, 1015, 281, 7323, 3796, 543, 9412, 1115, 910, 634, 774, 18115, 540, 13639, 28645, 543, 6611, 16709, 692, 5970, 596, 2479, 6743, 909, 693, 519, 6607, 543, 2938, 513, 15246, 5182, 286, 2107, 6148, 596, 723, 14478, 513, 3595, 1740, 1397, 1141, 10477, 31168, 24363, 1164, 909, 883, 519, 2011, 1354, 1011, 5317, 538, 513, 16802, 540, 1769, 269, 5637, 540, 1346, 1919, 1522, 7618, 596, 540, 28862, 543, 31244, 256, 1809, 1018, 616, 789, 4010, 267, 543, 1946, 798, 649, 946, 873, 286, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5331, 596, 1616, 547, 6494, 1945, 630, 528, 2576, 14386, 547, 2230, 610, 2484, 9883, 2066, 519, 3618, 269, 1215, 666, 596, 1118, 2386, 621, 4991, 972, 3533, 543, 9108, 286, 2334, 781, 1141, 28862, 543, 31244, 2097, 538, 13561, 256, 1358, 616, 899, 2706, 335, 10062, 9817, 2966, 547, 4412, 601, 3615, 4464, 1210, 513, 3196, 1572, 19876, 269, 901, 19876, 24864, 519, 1843, 16057, 1996, 8904, 267, 3850, 621, 547, 3914, 1390, 15627, 543, 2951, 5318, 9883, 780, 3086, 267, 1577, 781, 2911, 827, 1114, 2010, 540, 28862, 543, 31244, 1031, 2429, 1686, 269, 1703, 616, 1082, 28944, 4470, 593, 741, 3483, 543, 1374, 267, 855, 2221, 267, 649, 786, 1445, 593, 4108, 3283, 543, 1346, 602, 948, 721, 2263, 2230, 780, 300, 26090, 7323, 3796, 912, 2411, 13430, 4322, 616, 9604, 2919, 5097, 676, 2477, 547, 9718, 2933, 610, 4323, 824, 6082, 1282, 2053, 540, 2112, 269, 3509, 1004, 1589, 540, 6046, 23038, 950, 6217, 834, 332, 26090, 23828, 2437, 855, 972, 616, 1585, 5686, 609, 811, 1808, 3096, 269, 2368, 1455, 6688, 1331, 23593, 28862, 267, 3440, 2065, 28862, 267, 543, 4550, 25101, 8154, 28862, 269, 3962, 1826, 814, 2189, 2934, 543, 5301, 780, 290, 745, 1047, 7323, 3796, 281, 1452, 8038, 1970, 2282, 519, 2666, 1247, 1739, 15870, 10974, 547, 3914, 741, 3077, 269, 1358, 666, 4163, 14885, 1161, 267, 971, 607, 6671, 2112, 21650, 610, 1256, 6046, 3283, 269, 14265, 1047, 28862, 616, 2352, 547, 3713, 593, 16986, 1317, 789, 11100, 538, 609, 2834, 19426, 543, 14099, 269, 898, 781, 899, 4730, 12404, 7146, 5498, 2131, 28559, 609, 5732, 14042, 4539, 2439, 30761, 2065, 7323, 3796, 281, 9521, 23593, 28862, 267, 799, 1350, 728, 2673, 547, 519, 3047, 781, 2627, 267, 3440, 2065, 28862, 865, 541, 1164, 883, 519, 5790, 1354, 4947, 1524, 2509, 741, 9072, 269, 4495, 9250, 267, 789, 1246, 513, 1612, 20326, 18330, 630, 325, 3599, 2262, 585, 17208, 2619, 264, 5462, 676, 6323, 4031, 269, 11831, 2065, 28862, 666, 581, 11439, 609, 2789, 10446, 6098, 556, 18782, 6472, 630, 300, 7644, 309, 1070, 2495, 1142, 2112, 3650, 666, 5734, 5094, 6753, 269, 6056, 540, 621, 607, 18530, 513, 19625, 540, 10007, 8195, 282, 782, 10007, 4734, 707, 1688, 693, 2899, 267, 855, 1142, 5205, 922, 1378, 2619, 780, 12901, 328, 5025, 7878, 7323, 3796, 281, 1306, 519, 2012, 5267, 267, 891, 28862, 2832, 547, 6861, 10546, 8484, 610, 19670, 6937, 899, 824, 28862, 269, 22307, 4536, 7500, 873, 689, 519, 2666, 610, 20829, 9635, 269, 14640, 25101, 8154, 28862, 991, 547, 9376, 5196, 741, 9072, 3533, 543, 8308, 267, 1818, 873, 3833, 4359, 1099, 10999, 269, 5994, 3843, 547, 2220, 520, 513, 18151, 4571, 1922, 2775, 1210, 513, 11461, 546, 691, 20196, 781, 2186, 540, 1018, 4550, 25101, 8154, 28862, 798, 2439, 22129, 9412, 1115, 912, 1366, 19567, 4407, 4687, 930, 10486, 609, 4108, 28862, 267, 2230, 31244, 4196, 12560, 5301, 281, 3695, 938, 7122, 267, 14027, 2257, 267, 5355, 2792, 267, 543, 4543, 8103, 1174, 811, 827, 6000, 543, 938, 1747, 538, 519, 26355, 269, 6145, 4108, 28862, 267, 2230, 31244, 7048, 593, 3532, 9817, 547, 5352, 19876, 269, 1717, 267, 3079, 540, 8876, 16160, 31139, 338, 267, 789, 3560, 15408, 267, 887, 951, 267, 20691, 267, 543, 824, 1898, 3937, 2556, 585, 3811, 13485, 780, 5278, 4583, 2230, 15177, 3292, 1331, 8331, 781, 21275, 966, 267, 6611, 311, 781, 24415, 935, 24581, 267, 543, 6576, 781, 590, 1195, 15120, 269, 3683, 519, 1296, 267, 891, 6909, 6191, 723, 4847, 3425, 547, 3802, 593, 519, 7599, 267, 1353, 9370, 267, 8523, 11397, 15270, 267, 10131, 4365, 20925, 15408, 267, 543, 3715, 2518, 17568, 1949, 630, 294, 4916, 1040, 9453, 873, 267, 1272, 607, 649, 917, 621, 1131, 1413, 1360, 1114, 2439, 6962, 1384, 5804, 21108, 6082, 547, 9750, 1480, 1702, 267, 28862, 543, 31244, 1404, 2629, 5107, 538, 5935, 2413, 2486, 269, 9282, 1419, 2404, 609, 4655, 267, 789, 849, 2099, 5698, 1851, 3309, 6082, 2324, 2509, 3621, 3356, 269, 1924, 1985, 942, 596, 22401, 2390, 513, 15246, 5182, 267, 3314, 519, 7415, 4702, 905, 1846, 15720, 1369, 1346, 7904, 7566, 8090, 540, 5898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4467 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 294, 4134, 330, 568, 513, 1907, 585, 2870, 543, 11049, 15652, 7515, 593, 2182, 11479, 538, 8837, 269, 898, 568, 513, 4971, 1899, 10626, 602, 666, 581, 1031, 547, 1711, 267, 18419, 267, 16756, 267, 8831, 267, 3898, 543, 1847, 851, 1431, 593, 2182, 11479, 563, 2414, 946, 717, 4134, 330, 267, 1101, 596, 786, 991, 547, 723, 11889, 22864, 547, 2196, 713, 10626, 543, 596, 849, 991, 547, 723, 513, 1062, 602, 568, 4881, 8837, 269, 8921, 267, 4647, 519, 717, 4134, 330, 1907, 689, 922, 1357, 3135, 543, 3888, 621, 593, 707, 2780, 563, 5475, 10380, 568, 8737, 267, 1930, 16710, 32653, 6885, 543, 1826, 968, 326, 4134, 330, 892, 547, 1569, 519, 717, 4134, 330, 10626, 12981, 563, 2414, 1711, 513, 15652, 267, 1826, 968, 22056, 892, 4553, 676, 519, 2838, 6724, 971, 607, 519, 5397, 543, 519, 15652, 2450, 267, 610, 596, 666, 946, 519, 910, 328, 4781, 547, 1711, 606, 7317, 15652, 269, 1677, 18419, 513, 15652, 267, 1826, 968, 1372, 8541, 5608, 4553, 676, 519, 5397, 4484, 543, 519, 15652, 1297, 563, 2414, 8831, 513, 15652, 267, 1826, 968, 2169, 754, 892, 4553, 676, 519, 5397, 543, 15652, 1297, 543, 519, 2450, 547, 581, 6905, 269, 1677, 3898, 513, 15652, 267, 1826, 968, 8971, 892, 4553, 676, 519, 5397, 4484, 267, 15652, 1297, 543, 519, 3758, 1062, 1826, 563, 2414, 1847, 513, 15652, 267, 1826, 968, 332, 913, 5608, 4553, 676, 519, 5397, 543, 15652, 1297, 543, 519, 5551, 2990, 593, 519, 12210, 269, 7053, 267, 547, 4688, 519, 2242, 596, 723, 1500, 547, 519, 15652, 3349, 267, 1826, 968, 31095, 9731, 4322, 616, 519, 1292, 3268, 547, 946, 717, 4134, 330, 538, 8837, 269, 6969, 1210, 713, 1907, 267, 621, 568, 19624, 547, 19307, 782, 1271, 1239, 547, 2327, 602, 596, 798, 711, 6336, 1239, 1282, 15652, 6354, 2827, 269, 4746, 267, 621, 568, 5227, 547, 1832, 513, 5299, 540, 519, 15652, 3349, 1354, 1818, 1022, 2242, 563, 1692, 547, 1711, 513, 15652, 1210, 717, 4134, 330, 888, 17730, 513, 15652, 1210, 717, 4134, 330, 568, 513, 5266, 2653, 1184, 602, 1058, 1152, 1491, 513, 1906, 3764, 547, 2347, 563, 5575, 267, 596, 1590, 1930, 717, 4134, 330, 543, 2824, 519, 12210, 596, 1616, 547, 15652, 269, 2991, 602, 267, 1826, 2048, 335, 685, 543, 2046, 4283, 1107, 713, 786, 4159, 519, 4540, 15652, 3349, 563, 9202, 267, 1826, 2048, 333, 685, 547, 1711, 513, 1007, 15652, 4553, 676, 2048, 335, 685, 547, 2824, 3119, 15652, 267, 543, 1287, 4283, 519, 15652, 2450, 538, 25466, 269, 3550, 602, 519, 15652, 2450, 568, 1369, 519, 6967, 2230, 593, 519, 12210, 563, 5629, 596, 616, 2944, 267, 1826, 2048, 342, 685, 547, 2328, 519, 2242, 543, 14827, 717, 4134, 330, 269, 2991, 602, 267, 596, 666, 3898, 519, 9241, 2813, 15652, 1210, 1022, 6119, 2448, 596, 899, 676, 17511, 513, 4971, 899, 2048, 338, 30186, 544, 330, 12028, 269, 970, 275, 685, 610, 2048, 338, 30186, 544, 330, 12028, 563, 4517, 602, 779, 621, 1107, 596, 723, 6707, 2813, 513, 15652, 1210, 717, 4134, 330, 2336, 4692, 1250, 2780, 946, 31744, 888, 8133, 267, 707, 2780, 666, 946, 31744, 610, 30316, 2839, 3487, 819, 7305, 269, 31744, 568, 513, 3044, 3898, 585, 13936, 1344, 827, 15652, 532, 593, 513, 4859, 3926, 267, 971, 607, 513, 2182, 5397, 269, 901, 3898, 729, 2919, 607, 606, 4244, 547, 519, 15406, 305, 15652, 532, 1062, 1031, 676, 1034, 5904, 2221, 267, 799, 814, 7915, 2450, 7687, 563, 16821, 18788, 891, 7687, 267, 3850, 585, 1454, 3677, 851, 1431, 543, 606, 2799, 1297, 540, 851, 1431, 593, 513, 2582, 3926, 269, 1677, 946, 31744, 267, 707, 2780, 1590, 1489, 621, 2901, 538, 8800, 610, 998, 519, 5665, 1062, 563, 7197, 7193, 338, 593, 519, 2344, 2221, 1331, 519, 2556, 8800, 1489, 267, 543, 1034, 909, 3562, 15082, 5665, 1949, 666, 5431, 31744, 851, 1431, 269, 1403, 1312, 2175, 616, 1558, 267, 596, 666, 6707, 946, 31744, 593, 707, 2780, 563, 4692, 594, 2196, 31744, 609, 19739, 5308, 888, 8133, 267, 596, 666, 2196, 519, 31744, 15652, 532, 10325, 593, 513, 19739, 5308, 1062, 269, 1411, 991, 547, 1118, 2386, 602, 707, 5665, 1062, 7028, 519, 31744, 3898, 267, 607, 1134, 607, 1022, 8704, 3156, 269, 4746, 267, 1118, 2386, 602, 707, 1062, 19739, 5308, 543, 3926, 10256, 5431, 543, 1489, 519, 31744, 15652, 532, 10325, 563, 2252, 707, 5665, 1062, 267, 3156, 267, 19739, 5308, 267, 543, 3926, 10256, 2743, 519, 4170, 267, 1287, 596, 666, 946, 519, 31744, 15652, 532, 10325, 593, 707, 19739, 5308, 269, 1677, 798, 713, 267, 596, 3580, 991, 547, 946, 513, 12210, 15652, 532, 1907, 899, 717, 8512, 539, 610, 12210, 583, 559, 547, 1305, 909, 543, 15652, 707, 12210, 267, 1287, 3888, 707, 5665, 1062, 563, 2791, 1058, 849, 1118, 2386, 602, 596, 1394, 909, 707, 1239, 1354, 596, 2253, 547, 1118, 2386, 602, 9039, 540, 621, 568, 4503, 1282, 519, 15652, 532, 1184, 563, 2791, 1058, 4063, 602, 711, 782, 3156, 616, 6462, 609, 31744, 543, 602, 596, 949, 991, 547, 946, 513, 1808, 4528, 540, 519, 3301, 585, 621, 547, 960, 5265, 269, 3958, 267, 950, 4259, 909, 519, 31744, 15652, 532, 10325, 593, 513, 19739, 5308, 1062, 267, 596, 949, 991, 547, 5512, 519, 19739, 5308, 1489, 538, 930, 1949, 563, 1692, 798, 594, 5512, 31744, 888, 5319, 29058, 31744, 630, 294, 308, 2839, 3487, 819, 7305, 264, 568, 606, 1271, 855, 5266, 2241, 1184, 269, 634, 1883, 3268, 2838, 547, 5512, 31744, 1331, 912, 272, 269, 645, 2393, 707, 1062, 689, 606, 5665, 1062, 10380, 7131, 267, 23861, 610, 18292, 5397, 563, 273, 269, 18738, 519, 10380, 1184, 267, 979, 547, 519, 12210, 2359, 3296, 563, 274, 269, 8564, 519, 5397, 596, 1131, 899, 547, 5512, 31744, 593, 543, 18419, 1022, 4540, 851, 1431, 563, 275, 269, 4635, 519, 12210, 2359, 3296, 267, 1711, 513, 1007, 3119, 15652, 563, 276, 269, 6969, 2870, 513, 1007, 15652, 267, 596, 1058, 2824, 606, 3617, 15652, 3349, 269, 7994, 31744, 607, 707, 15652, 3349, 563, 277, 269, 5685, 880, 519, 10380, 1184, 543, 4983, 707, 5397, 269, 769, 519, 12210, 2359, 3296, 707, 5397, 1058, 1331, 606, 15406, 305, 630, 22913, 645, 2393, 16680, 264, 610, 661, 16576, 630, 15761, 2105, 645, 2393, 16680, 264, 952, 596, 616, 1210, 513, 19739, 5308, 2861, 1062, 563, 278, 269, 2659, 31744, 15652, 786, 1631, 581, 13087, 543, 707, 5397, 4712, 547, 581, 1031, 563, 9989, 782, 18074, 291, 1489, 31744, 888, 5591, 267, 711, 782, 18074, 291, 1489, 31744, 269, 31744, 6763, 585, 30316, 2839, 3487, 819, 7305, 267, 543, 568, 1152, 15095, 609, 2182, 11479, 936, 476, 273, 307, 289, 538, 2450, 269, 901, 1797, 602, 1022, 18074, 291, 779, 896, 476, 273, 307, 289, 3335, 798, 711, 1489, 31744, 543, 3079, 8415, 519, 15406, 305, 630, 22913, 645, 2393, 16680, 264, 15652, 532, 2511, 563, 12234, 267, 930, 5665, 1949, 949, 711, 1489, 31744, 2901, 267, 971, 607, 8837, 2473, 303, 267, 799, 1152, 7028, 15406, 305, 269, 4475, 267, 4470, 593, 519, 2450, 540, 519, 18074, 291, 267, 543, 799, 5665, 1062, 596, 616, 4881, 593, 519, 3684, 267, 519, 18074, 291, 949, 610, 949, 711, 1489, 31744, 563, 7617, 8837, 1489, 31744, 888, 763, 31744, 630, 10908, 984, 958, 23433, 5772, 8595, 3487, 819, 7305, 264, 12210, 15652, 532, 543, 12210, 5466, 1062, 568, 6462, 676, 782, 8747, 540, 9786, 8837, 689, 8837, 966, 16695, 27477, 267, 1519, 8837, 476, 278, 267, 476, 279, 267, 476, 1015, 543, 8837, 18218, 21820, 563, 16821, 729, 2966, 547, 7753, 7687, 1336, 609, 519, 15406, 305, 15652, 532, 543, 5466, 1062, 543, 4061, 2488, 4824, 4859, 3681, 543, 1732, 10727, 269, 31744, 666, 581, 1031, 547, 1711, 851, 1431, 540, 909, 547, 476, 12553, 8891, 17879, 5052, 538, 2450, 543, 547, 723, 936, 476, 12553, 851, 1431, 593, 1142, 12210, 563, 16821, 849, 2488, 513, 18401, 3487, 819, 267, 799, 2306, 621, 4443, 547, 9156, 1062, 1239, 952, 621, 14543, 269, 31744, 849, 2488, 8476, 851, 1431, 27034, 267, 799, 2882, 15652, 1826, 267, 2189, 30316, 2839, 267, 15652, 2012, 267, 543, 15652, 2450, 563, 16821, 849, 3091, 513, 1297, 540, 3606, 2934, 543, 2640, 950, 3379, 547, 15406, 305, 971, 607, 8476, 3354, 543, 10727, 267, 4824, 4859, 13345, 267, 2799, 8112, 543, 25382, 267, 519, 2702, 547, 723, 811, 851, 1431, 593, 835, 5397, 543, 8476, 5470, 7020, 543, 7816, 7207, 563, 4692, 594, 6460, 1250, 595, 5397, 547, 31744, 888, 8133, 267, 596, 666, 6460, 707, 595, 5397, 547, 31744, 630, 294, 308, 2839, 3487, 819, 7305, 1040, 31744, 568, 513, 811, 2413, 543, 3608, 15652, 2511, 982, 519, 2757, 15406, 305, 630, 22913, 645, 2393, 16680, 264, 15652, 2511, 267, 543, 621, 2636, 596, 547, 1118, 946, 540, 3677, 4859, 19206, 563, 16821, 568, 4122, 1031, 593, 772, 9128, 296, 630, 4462, 1881, 6987, 839, 1043, 674, 3305, 2264, 28497, 264, 1949, 267, 855, 621, 666, 849, 581, 1031, 593, 9371, 1949, 971, 607, 19739, 5308, 269, 20593, 1154, 513, 5397, 689, 15406, 305, 547, 31744, 666, 581, 2944, 609, 5065, 8837, 2645, 971, 607, 519, 2598, 330, 5004, 23641, 267, 610, 609, 3791, 18407, 2645, 971, 607, 31744, 535, 4134, 330, 610, 661, 848, 4785, 3487, 819, 9457, 563, 2005, 568, 1271, 547, 4063, 602, 14291, 513, 5397, 689, 15406, 305, 547, 31744, 786, 18419, 782, 4540, 851, 1431, 267, 865, 596, 1058, 1118, 513, 2407, 19307, 1354, 12394, 519, 7503, 269, 1411, 1058, 849, 1711, 1007, 851, 1431, 2899, 519, 7503, 568, 2347, 267, 607, 31744, 1281, 711, 1489, 9371, 15406, 305, 6163, 563, 4692, 594, 946, 31744, 593, 9399, 291, 888, 8133, 267, 596, 666, 256, 31744, 630, 294, 308, 2839, 3487, 819, 7305, 264, 568, 513, 3044, 585, 11249, 2182, 11479, 543, 9399, 17762, 269, 31744, 2636, 596, 547, 1305, 909, 3677, 851, 1431, 982, 609, 519, 4587, 15406, 305, 630, 22913, 645, 2393, 16680, 264, 1062, 267, 799, 13071, 596, 1118, 519, 1034, 540, 1804, 267, 2413, 4859, 11479, 899, 9399, 17762, 563, 16821, 849, 3091, 4824, 1239, 4027, 543, 2530, 6604, 3379, 547, 15406, 305, 269, 4475, 267, 31744, 568, 2356, 519, 1732, 3903, 585, 9399, 291, 269, 1677, 946, 31744, 593, 606, 9399, 291, 267, 596, 786, 1101, 991, 547, 1711, 513, 31744, 15652, 538, 1931, 547, 4558, 1239, 563, 1607, 568, 2944, 676, 10024, 968, 4134, 330, 4820, 892, 883, 519, 4971, 1899, 267, 543, 1287, 4881, 519, 1585, 968, 22056, 15652, 5608, 968, 572, 937, 15652, 5608, 968, 5562, 5608, 968, 8971, 674, 306, 284, 892, 543, 968, 817, 793, 4484, 284, 892, 12981, 269, 4495, 519, 31744, 15652, 814, 1044, 2813, 267, 596, 666, 1376, 1210, 621, 899, 1022, 824, 4859, 3926, 563, 19675, 594, 946, 674, 291, 7416, 610, 717, 4134, 330, 888, 2005, 2731, 5673, 593, 707, 1367, 2115, 269, 674, 291, 7416, 568, 513, 12210, 15652, 532, 1907, 602, 6087, 596, 547, 1711, 543, 4383, 12210, 851, 1431, 269, 898, 1568, 1655, 609, 15406, 305, 630, 22913, 645, 2393, 16680, 264, 28283, 267, 799, 616, 4122, 1031, 538, 8837, 1949, 1991, 547, 8837, 476, 278, 563, 294, 4134, 330, 267, 593, 519, 824, 1688, 267, 568, 513, 12210, 15652, 532, 1907, 602, 1568, 593, 31744, 630, 294, 308, 2839, 3487, 819, 7305, 264, 28283, 267, 799, 616, 1031, 538, 1034, 2413, 5665, 1949, 971, 607, 8837, 966, 16695, 267, 8837, 476, 278, 267, 8837, 476, 279, 543, 8837, 476, 1015, 563, 294, 4134, 330, 568, 849, 1031, 585, 9371, 19739, 5308, 1949, 543, 585, 519, 18960, 2048, 308, 9128, 296, 685, 610, 2048, 9128, 296, 685, 19739, 5308, 1949, 563, 2691, 7446, 1063, 674, 291, 7416, 543, 717, 4134, 330, 267, 519, 1883, 7156, 568, 519, 1826, 540, 15652, 519, 12210, 568, 1210, 269, 1403, 707, 1062, 3096, 15406, 305, 28283, 267, 1287, 596, 1058, 946, 674, 291, 7416, 269, 1403, 519, 1062, 3096, 31744, 28283, 267, 1287, 596, 1058, 946, 717, 4134, 330, 563, 2252, 596, 2461, 18516, 540, 1018, 1826, 540, 12210, 568, 8704, 593, 707, 1062, 267, 596, 666, 946, 513, 1907, 971, 607, 2598, 330, 5004, 630, 20360, 3298, 264, 547, 3313, 519, 1826, 540, 12210, 1031, 563, 2005, 779, 849, 1271, 547, 4063, 602, 674, 291, 7416, 568, 513, 4971, 11060, 10626, 6466, 717, 4134, 330, 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 ]
[ 6382, 267, 519, 6389, 543, 2039, 616, 2356, 2901, 519, 1483, 2338, 610, 519, 1950, 2338, 269, 1403, 649, 1031, 1535, 610, 586, 610, 512, 607, 519, 4830, 4756, 267, 649, 1611, 519, 1483, 2338, 269, 1403, 649, 1031, 1990, 607, 519, 4830, 4756, 267, 543, 10093, 1406, 2907, 2322, 1535, 543, 586, 538, 267, 649, 1611, 519, 1950, 2338, 269, 6884, 649, 1289, 538, 521, 610, 530, 610, 1776, 4484, 282, 2760, 2247, 602, 269, 634, 2039, 666, 581, 519, 2898, 1305, 540, 1483, 610, 1950, 2338, 269, 898, 1281, 721, 1100, 2800, 547, 723, 1932, 1804, 513, 2039, 780, 763, 6389, 267, 1498, 269, 1284, 798, 31274, 602, 3388, 538, 519, 6389, 6474, 547, 1945, 538, 519, 2039, 269, 1656, 267, 899, 267, 4399, 2765, 346, 272, 2410, 343, 910, 476, 273, 4151, 286, 2334, 666, 1406, 1611, 4376, 952, 1535, 11224, 476, 273, 780, 3383, 649, 1491, 606, 17697, 4214, 540, 519, 6389, 281, 621, 779, 782, 519, 1483, 2338, 585, 799, 519, 1599, 779, 4341, 568, 6209, 269, 1924, 267, 4399, 2765, 346, 272, 2410, 343, 910, 476, 273, 4151, 1131, 723, 513, 6389, 968, 9418, 2338, 824, 982, 476, 273, 6100, 4399, 2765, 346, 277, 343, 2410, 263, 343, 910, 476, 273, 7565, 343, 1341, 476, 273, 264, 4151, 1131, 723, 513, 6389, 968, 9418, 2338, 824, 982, 476, 273, 543, 910, 273, 892, 780, 2171, 1711, 970, 8735, 748, 3435, 2443, 610, 649, 6336, 930, 2443, 950, 938, 15007, 2242, 519, 6389, 269, 1323, 970, 8735, 748, 3070, 568, 835, 602, 11478, 3544, 519, 3312, 1966, 779, 6389, 269, 589, 7508, 3070, 568, 835, 602, 11478, 538, 606, 2300, 2213, 851, 540, 519, 6389, 269, 1677, 979, 689, 1269, 343, 317, 273, 815, 476, 275, 343, 259, 547, 1269, 343, 815, 476, 275, 259, 676, 12270, 856, 1535, 568, 547, 2759, 1269, 343, 815, 476, 271, 259, 856, 540, 519, 2230, 540, 2009, 3435, 780, 288, 24255, 596, 1522, 6318, 269, 1548, 568, 519, 6389, 585, 1269, 343, 910, 476, 1321, 815, 1422, 6912, 12757, 4151, 286, 25166, 1679, 602, 607, 513, 1599, 269, 1269, 325, 3287, 264, 815, 1535, 910, 476, 1321, 910, 1422, 6912, 12757, 4151, 1131, 3100, 547, 723, 513, 6389, 968, 343, 3152, 982, 610, 3160, 547, 476, 271, 6100, 634, 970, 8735, 748, 3070, 568, 1269, 343, 815, 476, 280, 8961, 513, 1297, 799, 15555, 528, 814, 621, 568, 3152, 982, 610, 3160, 547, 476, 271, 269, 1548, 5949, 2496, 2171, 723, 547, 1491, 602, 3830, 11804, 1782, 811, 7444, 269, 1284, 1185, 3323, 856, 609, 692, 259, 343, 910, 476, 1321, 815, 1422, 6912, 12757, 10592, 763, 6389, 814, 547, 581, 968, 343, 568, 3152, 982, 610, 3160, 547, 476, 271, 892, 1934, 269, 2353, 1318, 269, 634, 1985, 1900, 729, 14921, 1312, 5011, 676, 519, 1482, 7274, 267, 1269, 343, 910, 476, 1321, 10608, 1924, 1384, 259, 263, 343, 910, 476, 1321, 7565, 343, 910, 476, 1321, 264, 815, 1422, 6912, 12757, 12917, 343, 910, 476, 1321, 22491, 763, 6389, 568, 1869, 968, 343, 568, 3152, 982, 610, 3160, 547, 476, 271, 6100, 634, 1985, 1900, 267, 1498, 267, 729, 513, 18839, 269, 594, 4941, 547, 5372, 519, 18159, 343, 910, 476, 1321, 7751, 593, 519, 1318, 609, 4399, 6912, 12757, 23201, 1284, 917, 267, 689, 519, 3312, 3830, 267, 602, 1346, 616, 3160, 269, 2311, 2547, 267, 789, 2461, 3160, 16382, 519, 3312, 3830, 1269, 343, 910, 476, 1321, 815, 1422, 6912, 12757, 4151, 568, 3020, 269, 1548, 4523, 950, 1269, 343, 815, 476, 280, 8961, 1498, 2496, 259, 280, 910, 476, 1321, 815, 1422, 6912, 346, 280, 10592, 2171, 1376, 547, 1294, 519, 6952, 269, 476, 280, 1107, 476, 1321, 568, 910, 274, 269, 1656, 1247, 621, 779, 3020, 602, 910, 274, 16302, 786, 581, 476, 280, 267, 621, 779, 7301, 602, 910, 274, 568, 519, 4009, 3597, 540, 476, 280, 269, 634, 3830, 1269, 343, 910, 476, 1321, 815, 1422, 6912, 12757, 4151, 666, 1152, 581, 3020, 267, 585, 1483, 2338, 267, 952, 4399, 6912, 12757, 4151, 568, 1875, 17463, 269, 1284, 666, 1118, 713, 11826, 609, 1079, 24045, 3252, 269, 2913, 803, 1289, 1269, 326, 3287, 264, 815, 1535, 910, 476, 1321, 259, 543, 1269, 327, 3287, 264, 815, 1422, 6912, 12757, 31859, 259, 327, 3287, 7751, 814, 606, 17697, 6389, 540, 968, 343, 3152, 982, 610, 3160, 547, 476, 271, 6100, 1548, 779, 519, 6389, 540, 1269, 326, 3287, 7751, 286, 1403, 1269, 326, 3287, 264, 815, 554, 3287, 29408, 899, 649, 1767, 621, 1281, 267, 1287, 789, 723, 547, 3858, 585, 1169, 1535, 538, 2901, 779, 6389, 269, 1924, 1269, 326, 3287, 7751, 666, 1406, 723, 538, 922, 6389, 1022, 1535, 585, 799, 1269, 327, 3287, 7751, 3884, 1406, 3989, 269, 1924, 519, 6389, 540, 1269, 326, 3287, 7751, 814, 547, 581, 968, 343, 585, 799, 1535, 1107, 476, 1321, 568, 3152, 982, 610, 3160, 547, 476, 271, 6100, 1656, 602, 779, 968, 343, 3152, 982, 610, 3160, 547, 476, 1321, 892, 780, 3383, 519, 6389, 585, 519, 3312, 3830, 568, 968, 343, 3152, 982, 610, 3160, 547, 476, 1321, 6100, 1879, 649, 1832, 602, 6389, 538, 2247, 267, 519, 970, 8735, 748, 2470, 540, 1269, 343, 815, 476, 280, 259, 568, 2312, 267, 543, 649, 2057, 8373, 780, 8253, 782, 970, 8735, 748, 3435, 2097, 689, 15821, 6354, 2827, 269, 6884, 972, 616, 10148, 593, 519, 1966, 267, 2864, 982, 519, 2338, 267, 602, 1118, 513, 3070, 21494, 269, 1703, 568, 513, 25919, 4640, 1572, 519, 12004, 532, 1446, 269, 901, 5666, 547, 30945, 519, 914, 1169, 942, 835, 19380, 269, 901, 2306, 519, 1101, 3094, 3666, 856, 782, 519, 9271, 3056, 547, 621, 269, 901, 3070, 14543, 1317, 519, 6345, 814, 513, 13113, 23129, 267, 543, 1310, 513, 1906, 9271, 1022, 6345, 18387, 1406, 3893, 519, 2724, 547, 3136, 780, 7775, 2015, 513, 2013, 602, 949, 581, 10828, 269, 898, 4145, 519, 21011, 30334, 8950, 269, 898, 729, 2966, 547, 1491, 519, 30803, 21602, 547, 513, 5544, 693, 4642, 15820, 1657, 519, 7599, 779, 2627, 267, 609, 4642, 6991, 269, 634, 1650, 568, 602, 538, 2038, 1449, 8255, 267, 519, 2780, 1131, 711, 2057, 24551, 602, 12628, 547, 513, 2942, 15820, 2059, 519, 1259, 547, 519, 2627, 269, 2290, 4337, 1149, 519, 6429, 1310, 519, 1101, 21011, 1016, 3118, 7552, 269, 630, 296, 723, 711, 1336, 513, 4266, 950, 971, 513, 1449, 2196, 729, 2944, 267, 610, 28303, 547, 519, 3009, 10288, 269, 1403, 2576, 6487, 267, 594, 8910, 5660, 1565, 25727, 24355, 763, 15007, 267, 602, 649, 3972, 519, 6389, 568, 968, 22336, 2251, 799, 2306, 2631, 5608, 568, 711, 547, 16620, 1934, 269, 898, 779, 7363, 513, 1434, 15007, 269, 1401, 14032, 569, 15663, 519, 6389, 693, 1169, 1900, 568, 32462, 543, 267, 1034, 540, 519, 942, 267, 796, 523, 2775, 2287, 269, 898, 12851, 538, 519, 4282, 269, 1284, 849, 1590, 2638, 938, 2009, 3435, 267, 543, 602, 789, 2099, 1919, 602, 1118, 2631, 269, 1284, 666, 2119, 547, 13404, 938, 3206, 593, 519, 6654, 4277, 2694, 267, 855, 1590, 6108, 930, 942, 593, 519, 1964, 849, 780, 296, 993, 14281, 547, 581, 865, 2282, 519, 1439, 540, 519, 476, 1708, 271, 589, 3562, 19053, 267, 543, 547, 476, 1708, 271, 267, 594, 4126, 269, 901, 543, 782, 519, 824, 29395, 3594, 585, 519, 1032, 1058, 581, 693, 713, 3095, 269, 2353, 519, 3594, 689, 1169, 589, 3562, 19053, 3126, 1058, 581, 693, 713, 3095, 269, 11289, 596, 585, 2542, 780, 1012, 7335, 519, 22383, 267, 2904, 476, 1428, 267, 476, 1708, 271, 281, 8293, 1563, 589, 3118, 1109, 292, 1288, 692, 763, 1439, 540, 2063, 3018, 6035, 1175, 513, 1906, 811, 13371, 17446, 267, 543, 930, 7168, 13680, 6128, 1543, 269, 2913, 803, 16833, 602, 909, 780, 25405, 1408, 2142, 9807, 779, 7043, 9452, 10374, 585, 519, 476, 1724, 628, 814, 519, 968, 4118, 8257, 20662, 2218, 892, 6719, 607, 513, 7450, 31002, 1269, 272, 1422, 10975, 476, 273, 10608, 898, 779, 606, 4277, 24983, 538, 602, 621, 14509, 6707, 267, 855, 3085, 1406, 1118, 2631, 269, 1677, 6474, 519, 8100, 547, 519, 4122, 608, 920, 1540, 6878, 789, 8910, 1616, 4399, 2765, 3953, 1422, 10975, 1422, 2765, 1321, 16859, 4002, 16168, 10297, 267, 1498, 267, 594, 1705, 2899, 3643, 513, 6128, 2679, 538, 799, 519, 3819, 1567, 518, 1185, 519, 6003, 715, 25816, 321, 13403, 269, 22956, 25816, 321, 13403, 729, 711, 513, 4759, 540, 602, 2852, 779, 6128, 8257, 267, 540, 1576, 269, 901, 568, 1946, 519, 24983, 729, 7157, 4646, 543, 4061, 16168, 780, 11390, 603, 15397, 339, 543, 12253, 590, 16184, 619, 779, 700, 731, 779, 2622, 13458, 9669, 585, 519, 476, 1724, 628, 2934, 519, 24263, 5346, 1606, 515, 788, 24983, 780, 294, 776, 700, 1513, 517, 779, 634, 10787, 17121, 17446, 585, 519, 476, 1691, 628, 2882, 519, 4583, 835, 540, 15751, 18160, 4947, 865, 2673, 547, 2324, 856, 1269, 292, 815, 26818, 317, 273, 10608, 634, 8912, 8174, 725, 585, 1269, 292, 815, 26818, 317, 273, 259, 1810, 1406, 1376, 609, 602, 543, 1287, 2263, 2436, 621, 2306, 2631, 267, 799, 568, 1018, 18160, 4667, 547, 581, 3257, 1934, 269, 5502, 789, 1376, 689, 930, 796, 4186, 7337, 658, 22402, 543, 1265, 602, 789, 17538, 713, 1269, 292, 815, 26818, 317, 273, 259, 1870, 269, 667, 7645, 2079, 1131, 849, 1577, 596, 917, 602, 267, 952, 524, 568, 3238, 267, 621, 779, 4440, 547, 519, 2034, 1379, 2864, 982, 4376, 3116, 780, 3719, 602, 3085, 1406, 1611, 649, 666, 1406, 4952, 18160, 14322, 972, 1590, 581, 513, 2078, 1063, 1648, 543, 2527, 267, 4466, 835, 602, 2306, 2631, 267, 543, 1287, 4466, 513, 2601, 621, 779, 602, 2864, 982, 1945, 3116, 269, 2334, 779, 513, 1455, 2614, 4806, 540, 6310, 6602, 269, 4746, 267, 513, 1469, 594, 22821, 1406, 8068, 1354, 267, 568, 602, 18160, 6836, 856, 1269, 292, 815, 26818, 317, 274, 8961, 15653, 621, 267, 543, 1287, 6836, 621, 1586, 269, 901, 568, 849, 513, 1455, 4806, 540, 6602, 780, 15812, 700, 6308, 2401, 779, 15608, 11709, 8759, 585, 519, 476, 1691, 628, 814, 513, 22394, 973, 565, 3005, 540, 519, 25355, 14497, 581, 782, 602, 2576, 3081, 646, 1121, 20047, 540, 6128, 780, 301, 1731, 20393, 661, 686, 802, 5459, 779, 2961, 701, 4144, 655, 585, 519, 476, 1428, 628, 20186, 513, 7008, 3504, 5259, 2620, 6253, 1074, 619, 269, 589, 3787, 540, 6128, 267, 4481, 9511, 267, 568, 1031, 607, 11347, 540, 602, 2620, 3206, 780, 1607, 12109, 1186, 909, 519, 2250, 3018, 779, 28879, 2389, 1335, 539, 14676, 269, 3367, 713, 543, 1985, 3018, 779, 13371, 17446, 693, 713, 3095, 269, 11289, 596, 780, 1012, 7335, 519, 22383, 267, 4728, 476, 736, 267, 476, 1708, 271, 281, 26121, 689, 519, 13658, 1109, 292, 1288, 692, 296, 6557, 2469, 547, 1586, 1376, 519, 3018, 609, 519, 14676, 602, 8732, 1302, 5018, 6128, 269, 13536, 538, 519, 3018, 594, 3580, 723, 3283, 602, 1930, 909, 4901, 3584, 269, 594, 1175, 1810, 1406, 1616, 596, 547, 4413, 513, 13371, 1141, 513, 4819, 3085, 1406, 1616, 547, 798, 513, 1650, 1966, 780, 11990, 3400, 345, 10730, 779, 681, 2118, 344, 779, 5617, 10079, 898, 610, 3502, 585, 519, 476, 1428, 628, 19528, 519, 18230, 20511, 29307, 513, 6263, 16033, 894, 11777, 540, 15751, 18160, 269, 594, 2446, 1175, 1317, 18160, 568, 971, 513, 1434, 12835, 585, 6310, 6323, 780, 2026, 327, 548, 662, 5696, 650, 5050, 779, 8000, 27691, 1824, 585, 519, 476, 1626, 628, 814, 930, 2262, 2452, 827, 8691, 543, 6498, 269, 594, 6557, 711, 2386, 621, 814, 1022, 1483, 6310, 1543, 16310, 12980, 796, 1746, 8691, 543, 6498, 267, 1498, 780, 15812, 8891, 339, 779, 6004, 8899, 324, 556, 14725, 585, 519, 476, 1704, 628, 814, 519, 1053, 19252, 1282, 12980, 1362, 269, 17773, 282, 540, 1576, 621, 1131, 581, 8454, 780, 9617, 514, 15196, 323, 779, 769, 6665, 1043, 29968, 585, 519, 476, 1240, 628, 285, 814, 606, 25356, 2875, 1818, 519, 9819, 540, 789, 3580, 798, 1732, 2614, 1310, 513, 1434, 3781, 779, 3207, 547, 3398, 513, 3735, 15163, 269, 901, 568, 2141, 513, 2352, 9819, 547, 1118, 267, 2094, 596, 1118, 621, 950, 707, 3206, 568, 6531, 539, 676, 9854, 269, 1809, 281, 972, 568, 1100, 1966, 596, 723, 799, 3207, 22975, 2306, 1732, 269, 10925, 3207, 1101, 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 ]
[ 2473, 17530, 1317, 621, 568, 519, 8022, 540, 519, 3154, 9991, 883, 519, 3109, 8559, 602, 12958, 519, 2473, 17530, 267, 711, 519, 8559, 3294, 269, 1924, 267, 952, 519, 3109, 8559, 1185, 23498, 922, 10450, 540, 2339, 972, 1131, 581, 4986, 2451, 547, 3132, 2473, 17530, 563, 3519, 14287, 267, 1776, 7872, 568, 602, 5310, 519, 6456, 3109, 9475, 616, 811, 6456, 982, 19936, 1483, 2213, 269, 834, 763, 1249, 602, 649, 798, 711, 1294, 873, 1281, 711, 8209, 1611, 602, 789, 616, 711, 972, 267, 1175, 602, 649, 1810, 1406, 1294, 873, 269, 12344, 789, 616, 811, 7184, 6456, 982, 649, 1589, 543, 865, 616, 4061, 2630, 1256, 6715, 1537, 781, 7020, 3970, 2437, 3081, 30464, 8643, 563, 19602, 267, 519, 8331, 2319, 568, 1631, 4058, 547, 8831, 1010, 3406, 585, 6456, 3109, 9475, 2417, 856, 883, 519, 7122, 269, 834, 1607, 568, 1175, 519, 9133, 540, 519, 4672, 6199, 269, 769, 513, 1906, 811, 3275, 649, 786, 723, 513, 3677, 5619, 6192, 609, 519, 27997, 5692, 269, 3776, 3804, 568, 547, 7903, 713, 2186, 540, 8343, 4514, 543, 4514, 883, 519, 7122, 547, 1294, 3109, 8559, 2534, 693, 2038, 22184, 338, 269, 2334, 779, 519, 1985, 1390, 4161, 585, 2473, 11920, 543, 18325, 11920, 19936, 2437, 11943, 23894, 10458, 563, 13731, 2684, 654, 1074, 2401, 1923, 620, 17304, 454, 6124, 8331, 1353, 10607, 3406, 585, 3110, 3386, 10600, 454, 736, 269, 1015, 269, 1001, 278, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 30125, 25242, 5841, 4987, 2409, 454, 866, 269, 1015, 269, 1001, 278, 1923, 4993, 4659, 540, 5303, 454, 17206, 540, 15930, 3173, 3565, 547, 8978, 7020, 540, 14965, 6329, 543, 1769, 2813, 676, 2680, 454, 4002, 4864, 476, 1704, 267, 476, 1001, 278, 267, 693, 476, 1321, 281, 6078, 281, 6860, 27635, 267, 3744, 1500, 519, 1101, 1463, 8343, 540, 513, 32421, 1063, 1079, 23377, 6801, 734, 1492, 10053, 267, 25540, 23780, 602, 2611, 2483, 5353, 1597, 1007, 4574, 4766, 519, 1101, 268, 1197, 7020, 540, 1769, 689, 513, 14965, 5951, 2707, 269, 634, 2680, 267, 3361, 676, 1079, 23377, 6801, 2458, 4575, 543, 26399, 1927, 267, 729, 29805, 28047, 10204, 279, 1704, 1317, 621, 2366, 678, 31454, 998, 2230, 6066, 602, 6603, 3047, 593, 476, 1001, 278, 4864, 476, 1704, 269, 15907, 519, 1158, 267, 7366, 540, 9599, 19936, 20834, 1242, 3533, 543, 941, 2111, 547, 7747, 519, 2680, 1210, 3875, 24985, 267, 3246, 513, 5763, 540, 1007, 1239, 563, 28095, 3713, 687, 540, 14965, 6329, 723, 782, 3238, 519, 32421, 540, 1079, 3109, 9475, 267, 513, 9028, 602, 4465, 519, 476, 1001, 278, 17587, 15356, 538, 8212, 4505, 713, 3923, 19601, 300, 1468, 12889, 538, 1439, 2472, 666, 3533, 1267, 538, 14286, 538, 1082, 2127, 540, 2872, 267, 543, 723, 513, 7372, 1764, 593, 519, 2922, 946, 540, 741, 2472, 269, 901, 568, 1946, 267, 538, 519, 2361, 540, 2298, 22059, 267, 10995, 267, 562, 1180, 652, 10614, 9300, 1949, 1404, 513, 1883, 1909, 269, 1358, 1450, 4152, 3334, 543, 2694, 538, 513, 4028, 543, 1942, 18026, 6073, 1510, 21006, 519, 4890, 1587, 610, 4657, 922, 2627, 269, 20226, 689, 519, 29163, 594, 313, 17025, 538, 15223, 541, 1962, 6686, 1188, 523, 786, 581, 9306, 1079, 15225, 693, 519, 28563, 3832, 343, 17763, 538, 853, 18636, 326, 691, 689, 476, 278, 1700, 1015, 5437, 476, 1001, 278, 602, 1450, 3728, 267, 6325, 267, 543, 12747, 18572, 540, 2326, 543, 7020, 540, 12889, 630, 295, 718, 476, 276, 267, 4425, 1054, 476, 30019, 277, 1916, 2691, 2298, 4152, 3096, 942, 21791, 16160, 1449, 2409, 267, 621, 666, 1267, 538, 11999, 3790, 1813, 547, 14124, 610, 21006, 519, 2472, 269, 1656, 2016, 602, 2483, 8794, 513, 1007, 9023, 4480, 12463, 304, 3744, 8011, 693, 11287, 21611, 538, 513, 10053, 11237, 540, 4411, 543, 3500, 546, 13633, 6675, 563, 1692, 798, 3114, 6547, 8399, 693, 5393, 1970, 5210, 286, 634, 2626, 3340, 519, 7634, 540, 7636, 5439, 602, 616, 4411, 267, 10053, 267, 543, 3500, 693, 2483, 14722, 689, 519, 7665, 23851, 4659, 540, 17747, 8838, 923, 267, 1210, 1164, 8856, 8955, 21655, 540, 10570, 7250, 267, 6166, 519, 19599, 1507, 1871, 540, 519, 23442, 8953, 5462, 689, 18665, 4577, 7250, 563, 2005, 729, 835, 540, 519, 23484, 540, 519, 1032, 476, 1001, 271, 281, 21558, 21655, 540, 18665, 4577, 7250, 8507, 538, 513, 1871, 585, 519, 23442, 5279, 8953, 602, 729, 3648, 2483, 1704, 269, 1015, 269, 1001, 278, 1923, 7926, 5240, 454, 1015, 269, 1015, 269, 1001, 278, 1923, 7926, 5240, 454, 1015, 269, 1015, 269, 1001, 278, 1923, 7926, 5240, 454, 736, 269, 1015, 269, 1001, 278, 1923, 6176, 5303, 454, 736, 269, 1015, 269, 1001, 278, 1923, 10049, 7070, 454, 736, 269, 1015, 269, 1001, 278, 1923, 3955, 13694, 3194, 0, 1607, 949, 711, 3100, 899, 513, 1888, 585, 606, 1148, 5816, 267, 855, 950, 594, 3357, 2066, 891, 4031, 267, 594, 729, 19832, 563, 296, 993, 4867, 2542, 2048, 763, 15248, 538, 519, 18975, 685, 676, 1325, 2581, 1284, 597, 267, 799, 568, 827, 14732, 645, 1961, 2106, 267, 8361, 24163, 779, 7385, 269, 2368, 3602, 538, 519, 851, 2282, 1200, 581, 3650, 532, 594, 1224, 519, 1101, 2446, 540, 5681, 696, 4231, 16572, 563, 15368, 1227, 267, 952, 596, 14201, 1406, 540, 513, 1164, 1514, 7555, 267, 596, 941, 3908, 547, 1018, 2186, 540, 1570, 596, 941, 4847, 547, 5957, 267, 865, 596, 7948, 1406, 10571, 1657, 707, 6728, 563, 296, 1336, 713, 5750, 593, 634, 570, 644, 832, 26264, 799, 3947, 513, 2241, 7650, 540, 519, 4031, 689, 8361, 24163, 779, 547, 10348, 10906, 594, 779, 4341, 24121, 2005, 4667, 21494, 547, 803, 602, 1100, 835, 896, 519, 1377, 540, 4446, 976, 610, 12928, 2074, 1223, 5957, 30927, 267, 2523, 950, 4896, 666, 5957, 621, 2221, 563, 2005, 729, 513, 1106, 540, 4027, 1143, 543, 513, 1259, 540, 8497, 519, 15796, 693, 513, 942, 950, 22278, 1223, 6488, 547, 4444, 971, 12743, 3753, 267, 799, 789, 22821, 1406, 1044, 2111, 547, 538, 519, 2250, 267, 855, 621, 568, 6157, 513, 1259, 540, 1272, 602, 568, 3592, 796, 19960, 514, 762, 538, 2221, 779, 2486, 950, 971, 1919, 666, 581, 2527, 3812, 543, 4421, 585, 513, 8486, 339, 766, 269, 630, 28646, 711, 12308, 540, 4154, 543, 8988, 267, 540, 1576, 267, 855, 596, 1205, 1250, 2495, 594, 6557, 2386, 1916, 20112, 1740, 593, 513, 7826, 22514, 618, 630, 322, 712, 17940, 540, 10261, 548, 2048, 333, 27387, 994, 2252, 596, 8910, 899, 547, 1224, 930, 811, 827, 519, 2040, 696, 4231, 4031, 267, 3643, 11193, 1107, 634, 10906, 534, 2622, 1141, 789, 723, 1098, 8282, 519, 1292, 29071, 547, 798, 609, 891, 4031, 563, 20091, 1945, 899, 713, 2306, 803, 29311, 875, 1454, 649, 1491, 938, 22624, 585, 11292, 19951, 269, 594, 4076, 2760, 1185, 547, 1589, 827, 2436, 594, 729, 4847, 547, 5957, 513, 1880, 2186, 540, 12308, 267, 610, 7990, 2507, 8259, 621, 729, 827, 875, 1434, 610, 3983, 621, 1500, 803, 1413, 2336, 301, 289, 269, 1703, 616, 2040, 696, 4231, 4031, 538, 824, 2053, 543, 4529, 2507, 594, 723, 1152, 1044, 3168, 693, 1346, 538, 570, 31122, 2053, 269, 5616, 2040, 696, 4231, 4031, 543, 596, 3580, 1265, 513, 2603, 811, 1344, 267, 952, 596, 2461, 5461, 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 ]
[ 543, 519, 14849, 991, 585, 7104, 2962, 547, 2232, 519, 2916, 6433, 780, 8170, 1576, 267, 3235, 665, 761, 6291, 568, 711, 1510, 922, 27900, 543, 31886, 269, 2368, 13915, 8044, 602, 621, 4220, 11509, 1944, 2470, 543, 17923, 1898, 626, 2093, 827, 4008, 543, 5198, 269, 11524, 25077, 602, 621, 10714, 338, 519, 1570, 2175, 602, 3132, 2825, 12159, 267, 971, 607, 16851, 543, 19525, 269, 12846, 267, 1866, 5855, 602, 621, 949, 16297, 689, 811, 10296, 2152, 540, 1514, 5126, 780, 8601, 891, 4145, 267, 2705, 267, 3235, 665, 761, 6291, 3788, 606, 4105, 1858, 540, 1353, 585, 1346, 5461, 538, 519, 10167, 540, 3332, 543, 519, 1604, 269, 1635, 6313, 519, 2081, 538, 799, 5830, 2099, 543, 4497, 609, 519, 2067, 1158, 267, 649, 666, 2744, 1007, 4030, 883, 938, 1378, 3347, 547, 519, 1604, 543, 4952, 4244, 20304, 602, 4099, 6940, 267, 5126, 267, 543, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 7348, 2353, 5004, 1401, 4461, 454, 8624, 548, 2471, 1299, 20043, 454, 268, 32233, 5441, 23670, 3827, 454, 268, 32233, 30793, 2471, 538, 3127, 454, 268, 5440, 32233, 30793, 2471, 538, 3127, 454, 268, 5440, 6732, 32233, 30793, 2471, 538, 3127, 454, 268, 29640, 32310, 476, 1708, 274, 454, 268, 645, 10621, 30793, 2471, 538, 3127, 454, 268, 29640, 20587, 850, 21023, 528, 476, 1708, 274, 454, 268, 29640, 476, 1708, 274, 5441, 21023, 528, 454, 268, 2473, 2969, 5441, 21023, 528, 476, 1708, 275, 454, 268, 18328, 2969, 5441, 21023, 528, 476, 1708, 275, 454, 268, 590, 2793, 303, 5441, 21023, 528, 476, 1708, 274, 454, 268, 13878, 5441, 21023, 528, 476, 1708, 274, 454, 268, 715, 21316, 5441, 21023, 528, 454, 268, 29640, 476, 1708, 274, 1520, 2466, 9315, 454, 268, 29640, 476, 1708, 274, 28924, 16086, 454, 268, 29640, 19881, 5729, 7726, 14430, 454, 268, 8281, 6435, 995, 661, 9248, 454, 268, 5903, 540, 15019, 645, 3757, 2583, 454, 268, 1627, 333, 288, 910, 5192, 4267, 547, 707, 22027, 454, 268, 4083, 300, 10374, 4289, 454, 268, 4083, 300, 3171, 525, 12856, 454, 268, 808, 7417, 6301, 476, 1708, 275, 454, 268, 808, 7417, 11628, 476, 1708, 275, 454, 268, 645, 3951, 306, 2969, 476, 1708, 275, 454, 268, 7348, 2353, 7177, 1401, 4461, 454, 268, 30793, 2471, 20504, 532, 645, 11053, 3663, 10241, 454, 268, 5440, 7177, 30793, 2471, 538, 3127, 454, 268, 7177, 30793, 2471, 538, 3127, 454, 268, 7177, 30793, 2471, 538, 20474, 24385, 340, 454, 268, 7177, 30793, 2471, 20504, 532, 808, 7417, 6301, 454, 268, 5440, 7177, 30793, 2471, 538, 5754, 1457, 21171, 454, 268, 5440, 7177, 30793, 2471, 538, 10854, 531, 648, 454, 268, 5440, 7177, 30793, 2471, 538, 26527, 1662, 339, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7073, 1315, 4937, 1315, 8278, 665, 761, 6291, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21114, 19421, 540, 1199, 1023, 585, 1808, 26350, 269, 2290, 1383, 568, 519, 28645, 29274, 269, 4107, 1199, 1023, 941, 13752, 585, 26350, 538, 519, 1514, 2361, 563, 9827, 1224, 267, 22808, 1107, 25463, 2473, 880, 534, 454, 763, 6181, 542, 540, 27254, 538, 519, 19549, 3943, 6243, 454, 1103, 519, 19549, 3943, 6243, 267, 29064, 1310, 2622, 2782, 4083, 267, 621, 729, 3226, 18476, 602, 267, 7064, 547, 519, 8011, 532, 10617, 538, 2342, 543, 538, 519, 10125, 267, 972, 941, 1082, 811, 29843, 538, 519, 6181, 542, 540, 27254, 982, 519, 29071, 4847, 563, 763, 23598, 540, 519, 6181, 542, 540, 27254, 941, 711, 15186, 4957, 538, 519, 19549, 6243, 543, 519, 25004, 6243, 269, 1703, 729, 267, 2705, 267, 513, 1007, 5832, 585, 519, 9835, 9457, 269, 634, 4505, 5832, 540, 519, 12059, 6243, 729, 1100, 3476, 26729, 1631, 602, 782, 519, 9258, 5011, 540, 519, 6402, 1185, 1044, 23678, 1386, 609, 519, 4408, 540, 519, 28465, 27504, 540, 519, 14081, 1063, 476, 6942, 271, 543, 476, 3707, 276, 269, 634, 2413, 2966, 4396, 4154, 5832, 729, 519, 960, 540, 519, 14704, 1656, 28584, 1488, 24650, 543, 519, 575, 9529, 19431, 31434, 4427, 525, 540, 519, 9925, 749, 2044, 2777, 14803, 639, 5174, 1068, 8681, 538, 8303, 269, 634, 5832, 729, 4843, 609, 1390, 16008, 547, 5518, 27673, 29457, 2723, 593, 5412, 476, 272, 267, 476, 4198, 274, 563, 763, 5832, 4607, 28465, 1199, 718, 687, 607, 8912, 543, 7475, 538, 513, 3844, 15022, 3512, 4646, 689, 519, 23091, 5022, 968, 295, 892, 543, 968, 303, 892, 630, 1721, 968, 295, 517, 928, 584, 1696, 4793, 4471, 26158, 3245, 713, 1395, 6945, 13793, 338, 513, 2947, 268, 28534, 3444, 609, 513, 8006, 540, 476, 10037, 28935, 563, 763, 28465, 1199, 718, 687, 941, 2016, 1007, 12572, 2592, 585, 2486, 543, 519, 11439, 4229, 269, 32691, 267, 26010, 267, 6186, 1819, 4229, 267, 2872, 543, 16450, 267, 11585, 267, 2575, 543, 7206, 267, 2257, 267, 6189, 543, 17001, 267, 1514, 960, 267, 3332, 267, 4915, 543, 6391, 267, 6683, 267, 519, 3943, 1893, 2146, 267, 26313, 267, 18229, 267, 543, 607, 519, 31303, 267, 25044, 941, 6074, 563, 4002, 519, 9258, 2427, 540, 891, 1199, 718, 687, 616, 23678, 1386, 519, 4408, 540, 519, 2063, 1079, 27504, 540, 519, 19549, 6243, 543, 1346, 540, 741, 1967, 832, 538, 519, 25004, 6243, 269, 8921, 547, 519, 2012, 540, 1142, 540, 891, 27504, 568, 519, 1032, 540, 741, 2220, 8960, 538, 269, 1358, 616, 27673, 29457, 2723, 476, 3707, 278, 267, 11412, 2946, 595, 582, 344, 476, 4198, 275, 267, 8176, 632, 717, 4954, 548, 476, 4198, 280, 267, 8176, 632, 717, 4954, 548, 476, 3422, 276, 267, 31869, 2471, 25048, 3671, 537, 476, 3422, 280, 267, 4406, 2946, 787, 717, 4593, 731, 546, 892, 15307, 320, 532, 476, 3192, 275, 267, 31839, 12251, 631, 7867, 8681, 476, 2735, 272, 267, 31839, 12251, 631, 7867, 8681, 476, 2735, 279, 267, 10496, 13196, 15616, 2350, 476, 1960, 276, 267, 10496, 13196, 15616, 2350, 476, 1220, 273, 267, 12832, 15614, 590, 1046, 25822, 476, 1220, 278, 543, 31839, 12251, 26652, 324, 538, 476, 1001, 273, 269, 1703, 616, 2185, 811, 8900, 1199, 718, 687, 563, 1103, 476, 3707, 276, 267, 547, 8007, 4187, 25881, 543, 3943, 5443, 945, 4797, 547, 4339, 593, 519, 2427, 540, 519, 27469, 1310, 519, 476, 3707, 271, 1698, 527, 1637, 267, 606, 11352, 540, 8644, 3130, 729, 3964, 267, 799, 2968, 5333, 892, 338, 2034, 1931, 1310, 519, 6181, 542, 540, 27254, 563, 763, 1297, 540, 14012, 658, 9753, 4797, 547, 2333, 1519, 606, 11352, 540, 8585, 527, 585, 519, 19300, 4673, 563, 763, 3943, 2229, 3459, 547, 946, 519, 7810, 11352, 540, 519, 4563, 10060, 543, 267, 547, 513, 14758, 6708, 267, 519, 11352, 540, 519, 10060, 540, 1323, 329, 537, 534, 607, 519, 3943, 11352, 540, 8585, 527, 267, 2523, 593, 1533, 11564, 269, 4935, 267, 519, 6181, 542, 540, 27254, 729, 17212, 1386, 269, 1452, 2063, 1079, 9753, 941, 849, 13752, 538, 20320, 1894, 609, 519, 13814, 269, 1280, 10348, 7325, 10005, 267, 13584, 12672, 14551, 267, 11788, 10579, 667, 4181, 543, 808, 9926, 1030, 700, 12584, 972, 941, 9835, 9061, 525, 540, 519, 6181, 542, 540, 27254, 563, 763, 23598, 540, 519, 6181, 542, 540, 27254, 7283, 519, 1482, 538, 519, 3791, 543, 8772, 3943, 1065, 28362, 923, 563, 1103, 519, 25004, 3943, 6243, 29064, 676, 8176, 632, 717, 4954, 548, 538, 476, 3422, 271, 267, 3943, 9753, 941, 32753, 6963, 539, 563, 7197, 540, 519, 1631, 562, 31106, 14012, 658, 9753, 941, 27618, 269, 2334, 12556, 849, 581, 325, 749, 519, 1079, 6967, 7810, 9753, 269, 769, 1747, 540, 782, 891, 1114, 17758, 267, 519, 2817, 11352, 540, 8585, 527, 729, 3964, 538, 476, 3422, 271, 267, 4687, 922, 4960, 27891, 609, 519, 6181, 542, 540, 27254, 563, 2026, 606, 8366, 267, 519, 6181, 542, 540, 27254, 568, 519, 811, 8101, 540, 519, 1079, 3084, 9753, 269, 634, 6181, 542, 540, 27254, 568, 13752, 585, 968, 655, 5799, 20519, 892, 1247, 585, 519, 2817, 11352, 540, 8585, 527, 968, 338, 22658, 20519, 892, 3411, 1182, 563, 763, 6181, 542, 540, 27254, 568, 13752, 267, 593, 519, 5796, 540, 519, 2229, 267, 676, 519, 7022, 540, 519, 14081, 267, 945, 568, 6264, 4487, 540, 519, 1931, 269, 4813, 518, 26110, 267, 840, 2739, 338, 630, 3650, 540, 513, 8257, 1070, 17009, 1846, 543, 1164, 4012, 626, 6233, 616, 3592, 8850, 3769, 538, 519, 6181, 542, 269, 1809, 5159, 267, 4853, 1235, 267, 1390, 5026, 23594, 543, 3235, 27036, 20292, 14064, 527, 2456, 616, 849, 3769, 538, 519, 1931, 563, 763, 4960, 27891, 540, 519, 6181, 542, 540, 27254, 568, 606, 4013, 945, 20674, 519, 7022, 540, 519, 14081, 267, 19497, 849, 519, 3943, 15438, 543, 519, 1079, 900, 30752, 267, 538, 519, 7245, 540, 519, 6181, 542, 540, 27254, 267, 5333, 892, 338, 5207, 1931, 540, 5679, 662, 11856, 269, 1261, 568, 3743, 585, 5329, 519, 3943, 23598, 968, 335, 675, 892, 543, 267, 609, 1010, 4960, 961, 2044, 267, 849, 13327, 525, 824, 2027, 23598, 540, 8956, 971, 607, 519, 631, 2946, 323, 841, 548, 2113, 7534, 790, 563, 28846, 632, 717, 4954, 548, 15054, 607, 5518, 540, 519, 3943, 6243, 609, 519, 1390, 5832, 540, 519, 6181, 542, 540, 27254, 269, 1261, 1287, 849, 20595, 1010, 5832, 607, 519, 1101, 630, 663, 1152, 264, 9835, 9457, 540, 519, 11352, 540, 8644, 3130, 267, 3964, 676, 1864, 538, 476, 3707, 271, 607, 10361, 540, 519, 5131, 3943, 6554, 538, 1401, 850, 538, 5507, 563, 1103, 476, 2735, 272, 267, 4937, 1325, 664, 632, 4425, 1170, 24586, 22283, 1524, 607, 9835, 26554, 27891, 540, 519, 6181, 542, 540, 27254, 2864, 982, 1688, 936, 519, 5832, 540, 519, 1931, 547, 9241, 11221, 5518, 31839, 12251, 631, 7867, 8681, 269, 4937, 632, 4425, 1170, 24586, 729, 513, 5067, 2987, 25237, 540, 8176, 632, 717, 4954, 548, 269, 634, 8317, 729, 602, 519, 24180, 631, 7867, 8681, 1185, 2899, 1572, 1010, 2025, 2797, 18545, 632, 717, 4954, 548, 513, 968, 18743, 1807, 1848, 3571, 24288, 4937, 1656, 28584, 4437, 731, 1705, 711, 6318, 1022, 2123, 610, 2797, 1843, 687, 563, 12179, 821, 530, 5109, 547, 5957, 610, 10891, 513, 5679, 662, 11856, 538, 5333, 4166, 814, 547, 4308, 609, 519, 4960, 27891, 269, 1261, 13327, 525, 519, 3656, 29611, 540, 9849, 2699, 7735, 23346, 23598, 543, 4051, 338, 16984, 540, 29660, 268, 7451, 971, 607, 519, 11352, 540, 853, 269, 32303, 22654, 711, 547, 946, 519, 2012, 968, 298, 333, 4774, 11352, 892, 1369, 5333, 563, 293, 8896, 814, 1634, 4557, 3029, 540, 1533, 538, 519, 1101, 476, 5611, 1296, 2094, 519, 10661, 540, 519, 6181, 542, 540, 27254, 269, 769, 519, 1101, 15823, 1296, 267, 972, 941, 1100, 7864, 982, 5216, 269, 634, 6181, 542, 540, 27254, 4553, 519, 1533, 1106, 676, 4657, 519, 3877, 540, 922, 23598, 563, 763, 1850, 542, 892, 338, 3983, 613, 540, 8956, 814, 2141, 7283, 513, 2947, 15304, 539, 17576, 267, 855, 922, 1106, 5702, 4553, 519, 3943, 1533, 11156, 282, 896, 1101, 931, 592, 19167, 12844, 777, 27525, 267, 972, 729, 7620, 1100, 15038, 269, 634, 1199, 718, 542, 593, 519, 1073, 2091, 4951, 519, 13653, 267, 931, 592, 19167, 269, 2991, 19167, 892, 338, 8318, 566, 607, 14890, 540, 519, 3943, 267, 519, 17576, 729, 2016, 513, 31455, 13862, 269, 634, 3844, 1199, 718, 542, 1631, 13269, 19167, 594, 609, 513, 31444, 331, 530, 805, 327, 19596, 539, 3039, 538, 930, 22613, 269, 7201, 519, 8120, 25816, 19490, 540, 519, 26198, 5736, 267, 519, 13862, 729, 4957, 543, 519, 11052, 540, 19167, 729, 8719, 609, 602, 540, 8361, 10001, 269, 901, 2442, 3943, 4622, 729, 11807, 547, 782, 3943, 6105, 269, 634, 968, 322, 2753, 1014, 4622, 892, 8402, 10218, 324, 3773, 968, 339, 878, 565, 2803, 5608, 28886, 565, 1819, 3943, 17514, 267, 547, 519, 5182, 540, 519, 1931, 1310, 476, 8146, 271, 269, 8361, 10001, 945, 729, 849, 1010, 22660, 17477, 1010, 1747, 2394, 519, 2887, 540, 519, 25816, 2548, 268, 7775, 331, 2946, 753, 21257, 538, 476, 7277, 279, 563, 763, 5822, 3943, 6243, 31360, 519, 13862, 607, 606, 15038, 543, 1904, 539, 547, 556, 6813, 519, 13653, 267, 13269, 607, 931, 592, 540, 5333, 269, 634, 5822, 7276, 5368, 26061, 519, 11440, 13862, 267, 799, 519, 6243, 8719, 1586, 609, 519, 530, 805, 327, 540, 18073, 3762, 543, 31444, 3149, 538, 476, 6942, 271, 269, 769, 602, 1032, 267, 19167, 594, 729, 849, 8719, 676, 9919, 637, 267, 519, 3090, 540, 519, 3943, 6243, 563, 763, 4544, 8258, 593, 519, 4395, 540, 519, 3444, 2141, 8659, 513, 1257, 538, 4154, 610, 8988, 5022, 269, 901, 1257, 729, 9862, 547, 519, 2797, 6381, 563, 13295, 267, 519, 9258, 1705, 711, 2611, 519, 1482, 2901, 269, 634, 25816, 19490, 8359, 547, 6813, 519, 1614, 561, 25788, 538, 741, 10359, 540, 7916, 563, 2026, 930, 3943, 5443, 4810, 2789, 1533, 3029, 267, 519, 610, 23788, 941, 9862, 676, 930, 547, 519, 1007, 5736, 269, 634, 3844, 1199, 718, 542, 5161, 540, 513, 13719, 17860, 8546, 593, 799, 519, 1079, 1199, 718, 687, 630, 984, 2091, 543, 9258, 264, 616, 15841, 269, 1452, 1079, 19596, 539, 8988, 10824, 666, 849, 581, 771, 553, 5145, 1194, 269, 11524, 1185, 1007, 610, 23788, 1500, 269, 4270, 8153, 14273, 616, 8575, 2581, 1488, 28387, 5174, 1068, 8681, 538, 12142, 8566, 1069, 664, 17393, 6261, 337, 15530, 630, 13640, 529, 1070, 519, 1360, 2757, 8575, 2581, 645, 659, 4302, 6807, 538, 519, 19922, 540, 519, 6022, 9820, 9576, 630, 13640, 529, 264, 543, 519, 3943, 20511, 267, 5487, 3933, 3534, 773, 632, 8303, 593, 519, 2372, 2967, 632, 2552, 328, 630, 13640, 529, 1916, 763, 2034, 2203, 5182, 540, 519, 11808, 4607, 513, 17855, 540, 8361, 10001, 540, 5333, 538, 519, 3844, 1199, 718, 542, 269, 2201, 519, 8258, 267, 519, 2138, 1729, 670, 2177, 20911, 7838, 21180, 623, 2969, 6020, 292, 7283, 563, 763, 26781, 814, 2141, 1044, 2699, 269, 634, 5920, 540, 519, 10775, 19490, 1705, 1689, 936, 519, 1296, 269, 769, 519, 476, 866, 628, 2540, 267, 621, 729, 22232, 547, 3413, 1460, 513, 6367, 547, 519, 26781, 12816, 593, 519, 9221, 269, 901, 6367, 8593, 883, 771, 2224, 1282, 519, 2540, 269, 634, 10492, 892, 887, 3553, 974, 1031, 547, 581, 7923, 693, 519, 5377, 540, 519, 26781, 855, 835, 1631, 9060, 519, 887, 3553, 974, 538, 519, 1647, 269, 769, 519, 1101, 1296, 540, 519, 6181, 542, 540, 27254, 267, 519, 1390, 26781, 8694, 538, 513, 1804, 543, 4074, 1190, 6367, 269, 4438, 519, 476, 866, 628, 2540, 267, 1804, 887, 3553, 5052, 593, 519, 2451, 12048, 2968, 5051, 2442, 269, 4653, 267, 2241, 536, 3298, 616, 12816, 563, 763, 1101, 29843, 20595, 741, 6181, 542, 540, 27254, 538, 1857, 3592, 782, 519, 942, 269, 13536, 267, 621, 2968, 22232, 547, 5957, 1152, 513, 2699, 26781, 593, 519, 561, 19125, 269, 769, 519, 1296, 1310, 519, 2887, 540, 19167, 594, 267, 1507, 2156, 665, 1127, 609, 9910, 2137, 941, 849, 6752, 762, 563, 9827, 1224, 267, 12959, 1107, 11135, 540, 1773, 1092, 20660, 454, 13356, 32590, 538, 519, 25004, 3943, 6243, 454, 763, 4557, 15304, 539, 5182, 729, 25918, 1229, 609, 8988, 8142, 543, 3524, 1231, 538, 519, 1101, 1296, 540, 519, 1931, 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 ]
[ 595, 821, 8018, 15206, 322, 821, 23426, 8018, 1280, 15206, 595, 821, 8018, 15206, 15206, 15026, 25420, 454, 30747, 7124, 595, 821, 6096, 3231, 5500, 8866, 454, 30747, 7124, 595, 821, 18224, 532, 5440, 476, 279, 6096, 5853, 1280, 15206, 595, 821, 2368, 2986, 634, 6096, 1280, 901, 10417, 3657, 3503, 634, 8745, 2986, 634, 20348, 7612, 2334, 3962, 8629, 6733, 338, 23426, 23779, 4518, 19024, 531, 9293, 4518, 1280, 15206, 476, 274, 323, 23426, 4518, 31123, 9094, 14594, 7420, 2983, 6248, 715, 1115, 13268, 18103, 1400, 10606, 4518, 590, 15659, 476, 273, 667, 1656, 476, 274, 667, 25609, 645, 338, 272, 454, 30747, 7124, 595, 821, 6096, 7689, 6096, 454, 30747, 7124, 595, 821, 18224, 532, 2353, 6096, 13565, 1677, 15206, 595, 821, 6096, 3657, 3503, 634, 8745, 2986, 634, 20348, 7612, 2334, 3962, 8629, 6733, 338, 23426, 23779, 4518, 19024, 531, 9293, 4518, 1280, 15206, 476, 274, 323, 23426, 4518, 31123, 9094, 14594, 7420, 2983, 6248, 715, 1115, 13268, 18103, 1400, 10606, 4518, 590, 15659, 476, 273, 667, 1656, 476, 274, 667, 25609, 645, 338, 272, 454, 10403, 595, 821, 6096, 1280, 9877, 1120, 691, 839, 25609, 8018, 454, 1607, 5590, 2986, 476, 274, 667, 7645, 28826, 3657, 17828, 1879, 28038, 1656, 5623, 532, 476, 274, 667, 25609, 1411, 5192, 28826, 1280, 634, 28116, 595, 821, 595, 2643, 5407, 1975, 1877, 30958, 1656, 2398, 1143, 1411, 5192, 476, 276, 11242, 1280, 3962, 2986, 1452, 25609, 476, 1789, 28826, 11192, 634, 11242, 3417, 23426, 22384, 23426, 3503, 634, 681, 32423, 5062, 326, 4883, 529, 4569, 23426, 11242, 15206, 476, 272, 560, 6103, 4569, 6096, 3619, 4569, 4569, 277, 15026, 25609, 1230, 525, 1975, 1877, 6096, 1280, 454, 277, 15026, 25609, 1230, 525, 2201, 1975, 1877, 6096, 1280, 15206, 10576, 1975, 12742, 1656, 10699, 525, 476, 274, 323, 23426, 8018, 1280, 3689, 27240, 619, 5131, 23426, 11314, 8525, 15206, 11242, 9752, 4569, 4569, 6096, 25595, 2401, 18014, 1975, 1877, 476, 274, 323, 3752, 1749, 1280, 8866, 8342, 1975, 1877, 12338, 719, 11314, 1280, 8866, 1975, 1877, 476, 274, 323, 3752, 1749, 1280, 8866, 8342, 1975, 1877, 12338, 719, 11314, 1280, 8866, 1656, 10576, 1975, 12742, 1656, 10699, 525, 476, 274, 323, 23426, 30747, 7124, 4569, 476, 274, 323, 25609, 6096, 1656, 11242, 454, 278, 10572, 476, 274, 323, 2107, 20348, 25609, 6096, 2201, 1975, 1877, 595, 821, 595, 2643, 5407, 28116, 10699, 1355, 25351, 9771, 2398, 1143, 1656, 634, 30958, 1452, 6096, 5620, 4279, 10866, 16503, 5928, 1677, 2913, 2659, 5753, 8347, 1677, 4855, 7756, 27294, 2107, 27014, 2334, 6875, 4813, 2986, 3962, 20348, 23426, 6744, 4934, 634, 12726, 9664, 12989, 476, 278, 10572, 476, 274, 323, 2107, 20348, 25609, 6096, 1280, 5753, 1677, 8347, 1677, 14674, 3962, 23426, 769, 4256, 10403, 15026, 476, 274, 323, 25609, 6096, 1280, 15206, 454, 13425, 4934, 2353, 2986, 3733, 25609, 6096, 1656, 28826, 3371, 476, 274, 323, 25609, 15206, 6657, 1452, 476, 274, 323, 25609, 6096, 3171, 1155, 589, 17186, 2986, 476, 273, 323, 1656, 476, 274, 323, 25609, 1306, 4270, 1306, 476, 274, 323, 25609, 16544, 6270, 1306, 3798, 2471, 674, 2167, 1656, 20539, 1182, 3689, 8866, 4024, 10261, 1677, 8745, 634, 9978, 476, 274, 323, 25609, 1656, 21302, 4256, 18567, 3973, 1358, 4024, 23037, 476, 273, 323, 1656, 476, 274, 323, 25609, 769, 589, 16974, 11314, 9578, 1358, 24510, 4032, 1656, 454, 4537, 16747, 6096, 1280, 18014, 1656, 15206, 5131, 454, 10190, 901, 17451, 19663, 5903, 2986, 5131, 15026, 25609, 6096, 1280, 18014, 1656, 15206, 1772, 3371, 1677, 6435, 1411, 4934, 5753, 4024, 6258, 6168, 634, 9978, 25609, 1656, 6657, 32274, 1656, 715, 5446, 23067, 2060, 30151, 1548, 9701, 8479, 5753, 5700, 6168, 25609, 6969, 1358, 4634, 3399, 3427, 3509, 18014, 619, 6258, 1677, 25506, 1656, 22043, 569, 8745, 589, 23225, 9978, 25609, 6270, 1306, 17781, 21121, 454, 10403, 15026, 6096, 1280, 18014, 15206, 476, 272, 560, 454, 10403, 15026, 6096, 1280, 18014, 15206, 476, 272, 560, 476, 273, 526, 476, 274, 6113, 476, 275, 628, 476, 276, 628, 24110, 595, 821, 22276, 595, 821, 22276, 28116, 22276, 23426, 16574, 919, 5131, 15026, 6096, 5131, 28826, 8866, 6096, 8285, 10326, 28981, 476, 274, 323, 595, 7491, 4144, 344, 13491, 25038, 7433, 1230, 525, 454, 290, 821, 23426, 15026, 8018, 1280, 15206, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 595, 821, 23426, 15026, 8018, 1280, 15206, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 290, 821, 23426, 15026, 8018, 1280, 15206, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 30475, 281, 1948, 2745, 762, 4009, 5546, 3211, 258, 27729, 6284, 3211, 9656, 258, 16451, 7792, 476, 273, 323, 5546, 3211, 258, 11779, 7124, 12166, 5546, 4976, 258, 10177, 576, 543, 2681, 5546, 3211, 258, 16451, 7792, 9656, 5969, 3211, 258, 15132, 548, 3337, 3211, 585, 23021, 0, 2005, 568, 10423, 602, 519, 7592, 540, 519, 590, 19414, 616, 7106, 8960, 689, 938, 2817, 1950, 542, 267, 543, 952, 519, 1697, 3070, 540, 519, 2258, 549, 2503, 519, 27280, 540, 938, 18939, 547, 581, 4956, 569, 26849, 634, 1034, 1990, 20454, 1629, 20802, 540, 713, 8717, 616, 519, 3943, 267, 945, 723, 1044, 838, 13899, 538, 741, 8579, 29622, 547, 3605, 519, 3123, 540, 519, 1932, 10423, 1244, 641, 1637, 540, 5333, 540, 922, 5065, 14797, 563, 1103, 1978, 2665, 540, 15141, 1190, 5312, 1558, 8539, 646, 15565, 4693, 540, 513, 1305, 517, 267, 9967, 540, 3670, 16536, 16060, 267, 5645, 998, 1942, 835, 9067, 540, 519, 15259, 14685, 328, 269, 1809, 267, 26328, 513, 1554, 610, 3368, 513, 1554, 267, 519, 10373, 3341, 16093, 766, 540, 851, 584, 819, 607, 519, 7525, 3078, 2014, 540, 17772, 10102, 807, 993, 2952, 1175, 5809, 519, 3498, 540, 519, 2012, 4996, 518, 704, 531, 5996, 13955, 267, 607, 1031, 538, 519, 2037, 334, 268, 1501, 1510, 561, 8457, 268, 7699, 334, 3887, 269, 634, 1804, 13066, 2016, 3100, 547, 834, 322, 19281, 517, 257, 723, 19500, 607, 1134, 855, 711, 1360, 8335, 689, 519, 4130, 13066, 811, 4749, 6964, 282, 602, 568, 547, 2161, 267, 519, 27417, 29532, 608, 644, 894, 1184, 729, 18486, 267, 543, 609, 621, 519, 8886, 894, 8611, 799, 621, 1185, 9599, 269, 4107, 540, 519, 2665, 540, 1286, 625, 540, 519, 28937, 941, 540, 1085, 549, 995, 748, 5169, 282, 538, 519, 29523, 636, 543, 804, 822, 1834, 519, 2068, 729, 9291, 549, 628, 11099, 602, 519, 2338, 1657, 2016, 9425, 2099, 519, 3448, 4908, 540, 1286, 625, 538, 519, 1585, 7633, 630, 321, 8500, 1040, 634, 2817, 17318, 8943, 5654, 586, 1091, 547, 519, 13393, 540, 513, 2817, 27259, 28018, 528, 29731, 2437, 607, 606, 1651, 3218, 543, 2489, 4585, 2006, 585, 519, 2898, 2197, 2437, 543, 849, 585, 3557, 28018, 528, 268, 7049, 5644, 563, 763, 3983, 8128, 6432, 547, 1010, 21855, 543, 1287, 2308, 741, 1378, 13526, 684, 2563, 543, 21603, 2409, 540, 4027, 563, 1607, 646, 5654, 8406, 2390, 607, 519, 3788, 540, 519, 3791, 11896, 267, 10032, 676, 513, 5449, 6553, 269, 17384, 1767, 602, 6236, 891, 2665, 543, 1082, 1866, 547, 799, 646, 1223, 3277, 267, 538, 799, 519, 1576, 540, 519, 2068, 4667, 547, 581, 3592, 18486, 267, 610, 1256, 1281, 711, 30134, 538, 519, 8912, 6073, 267, 621, 1590, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5522, 3471, 723, 1044, 1472, 585, 5553, 543, 616, 1631, 1373, 1031, 538, 513, 3099, 540, 2081, 782, 936, 519, 1158, 269, 3245, 8516, 13467, 547, 19831, 6575, 267, 28506, 2259, 814, 1082, 3156, 269, 1809, 875, 798, 1544, 802, 2097, 547, 581, 286, 769, 713, 5816, 2022, 267, 649, 2461, 2469, 547, 2263, 875, 1544, 6362, 3357, 547, 581, 543, 875, 621, 666, 581, 1031, 538, 23736, 563, 5522, 21403, 568, 513, 5553, 6040, 3635, 602, 814, 1044, 1031, 538, 1082, 1114, 2081, 538, 1114, 4529, 269, 634, 1101, 2446, 540, 1544, 6362, 666, 581, 1336, 538, 519, 1433, 634, 25665, 540, 5794, 22165, 3107, 676, 3627, 4469, 644, 1716, 1731, 269, 769, 713, 1433, 267, 4469, 644, 1716, 1731, 11828, 875, 2011, 1532, 805, 3107, 666, 2014, 513, 1268, 547, 6336, 4887, 2527, 269, 1261, 6257, 875, 267, 950, 519, 2011, 15102, 616, 17808, 676, 513, 1268, 14084, 3068, 1524, 593, 519, 2666, 267, 513, 1268, 779, 7244, 568, 11658, 543, 607, 513, 1267, 267, 4887, 2527, 568, 4503, 269, 1261, 849, 11828, 875, 713, 1198, 666, 581, 1031, 547, 1628, 909, 4887, 2527, 563, 1103, 713, 8574, 267, 646, 19528, 602, 538, 7977, 267, 1004, 1131, 9114, 3068, 1524, 593, 519, 2666, 543, 3180, 741, 7362, 585, 607, 1279, 607, 2009, 269, 2755, 789, 941, 3257, 713, 267, 789, 1131, 12740, 12035, 1210, 1175, 741, 7916, 543, 7953, 269, 1879, 519, 6091, 941, 13110, 689, 8066, 741, 7362, 585, 865, 1279, 267, 1004, 1131, 1491, 513, 2736, 543, 1287, 1376, 1394, 909, 1586, 269, 901, 568, 1634, 607, 2048, 680, 21403, 685, 538, 7977, 563, 1103, 519, 2136, 2276, 1282, 2622, 2782, 594, 267, 1544, 6362, 729, 1031, 547, 948, 7980, 9156, 689, 7063, 13455, 1282, 8396, 269, 4340, 547, 4469, 644, 1716, 1731, 779, 1433, 634, 25665, 540, 5794, 22165, 3107, 267, 1544, 6362, 729, 849, 1031, 585, 2597, 2866, 676, 1082, 9845, 1282, 2622, 2782, 4083, 950, 2011, 2951, 729, 11658, 563, 12234, 267, 4469, 644, 1716, 1731, 849, 19528, 602, 538, 519, 2136, 2276, 267, 2011, 1532, 805, 3107, 729, 1031, 547, 948, 1628, 4887, 2527, 543, 602, 621, 729, 606, 2500, 1505, 540, 2597, 2866, 269, 1261, 1767, 602, 950, 513, 1268, 6013, 3068, 1524, 593, 519, 2666, 267, 741, 7244, 568, 11658, 543, 607, 513, 1267, 267, 6091, 616, 7142, 547, 960, 9875, 585, 811, 5135, 269, 1261, 849, 2829, 602, 713, 666, 581, 1031, 547, 1628, 909, 4887, 2527, 563, 763, 11588, 2986, 1773, 21403, 454, 5522, 21403, 666, 581, 513, 1390, 1259, 547, 2087, 707, 15904, 6296, 269, 3502, 1152, 1281, 621, 948, 596, 2087, 707, 3666, 543, 11558, 267, 855, 621, 666, 849, 2087, 707, 9025, 1072, 269, 589, 1353, 3370, 538, 519, 1977, 4750, 540, 8447, 6925, 543, 29407, 1336, 602, 1544, 6362, 4824, 2295, 1599, 543, 4389, 2566, 2157, 269, 3958, 267, 1382, 814, 849, 3254, 602, 1544, 6362, 666, 948, 2087, 4745, 2039, 540, 5163, 543, 2569, 6553, 563, 5522, 1678, 6657, 1280, 24524, 13705, 710, 454, 5522, 3471, 666, 581, 1031, 585, 513, 3099, 540, 8516, 13467, 269, 1280, 1383, 267, 596, 1522, 946, 873, 538, 14966, 609, 824, 7575, 971, 607, 7903, 13522, 267, 2695, 1846, 267, 543, 1694, 13522, 547, 2087, 707, 2949, 8516, 269, 1411, 666, 849, 946, 1544, 802, 547, 948, 609, 3666, 543, 6617, 538, 707, 23736, 563, 1692, 1677, 1684, 589, 1773, 1678, 9406, 454, 6524, 649, 1205, 3323, 267, 621, 779, 1271, 547, 1174, 875, 547, 798, 513, 28506, 269, 589, 28506, 568, 3274, 513, 2990, 538, 799, 596, 946, 707, 3946, 543, 3952, 547, 1489, 707, 1560, 1247, 5329, 707, 1394, 2786, 269, 1703, 616, 1079, 1292, 2010, 540, 1544, 802, 281, 519, 3044, 28506, 543, 519, 7903, 5346, 269, 634, 3044, 28506, 568, 1175, 899, 513, 2834, 7903, 5346, 267, 855, 596, 3180, 5196, 519, 3774, 3079, 540, 1210, 707, 3946, 543, 3952, 547, 1489, 3054, 269, 1411, 666, 798, 713, 3635, 609, 1022, 2186, 540, 2627, 267, 855, 596, 1058, 946, 1945, 19756, 543, 2653, 547, 1847, 1472, 563, 763, 7903, 5346, 568, 513, 2370, 1114, 269, 1411, 1376, 676, 14084, 593, 707, 1394, 593, 519, 2666, 543, 1747, 707, 27374, 6366, 593, 519, 2666, 1985, 547, 1142, 824, 269, 3973, 267, 10709, 883, 519, 3774, 543, 8831, 707, 1560, 607, 2484, 607, 2009, 2394, 707, 25427, 338, 5905, 519, 3774, 269, 5901, 707, 1394, 2786, 543, 707, 9221, 1164, 607, 596, 798, 713, 3635, 563, 1692, 1677, 2422, 1773, 3471, 769, 2659, 4518, 8083, 454, 3080, 540, 519, 2640, 540, 1565, 875, 547, 28506, 568, 602, 596, 666, 946, 621, 538, 707, 23736, 269, 1411, 666, 1256, 946, 1544, 6362, 607, 519, 1292, 3635, 585, 707, 4222, 543, 14555, 1982, 269, 2060, 1544, 802, 267, 596, 1747, 707, 3946, 593, 519, 2666, 543, 946, 707, 14159, 6091, 547, 4224, 1394, 543, 8521, 269, 901, 3635, 568, 1390, 585, 5355, 707, 11558, 267, 3666, 267, 543, 26176, 2088, 269, 3958, 267, 28506, 2259, 666, 948, 2087, 707, 2295, 2557, 543, 2569, 2566, 563, 763, 3509, 21964, 2986, 1773, 21403, 454, 5522, 21403, 568, 835, 540, 519, 9510, 3029, 540, 3635, 269, 898, 729, 8385, 1031, 547, 2087, 3666, 543, 11558, 538, 519, 10120, 5736, 269, 4653, 267, 1544, 6362, 568, 1031, 607, 513, 1797, 540, 15198, 267, 11005, 267, 543, 14317, 269, 1773, 21403, 666, 849, 581, 1031, 585, 19831, 6575, 2866, 563, 21761, 18542, 5999, 6168, 1773, 1678, 11644, 454, 304, 281, 1684, 594, 10261, 7102, 16811, 1677, 1684, 1773, 3471, 888, 5591, 267, 1411, 666, 798, 1544, 802, 1510, 1022, 3937, 693, 782, 269, 1411, 1810, 1406, 1256, 723, 547, 581, 14084, 1524, 547, 798, 873, 269, 1411, 666, 1175, 3180, 3054, 909, 1996, 513, 3774, 610, 824, 4396, 1843, 1210, 1152, 707, 7916, 543, 7953, 563, 304, 281, 1215, 7043, 2052, 594, 15579, 589, 1773, 1678, 888, 2791, 666, 3180, 513, 28506, 585, 607, 1279, 607, 596, 1616, 269, 634, 2640, 540, 1544, 802, 616, 19469, 543, 789, 1810, 1406, 2063, 11014, 267, 855, 789, 786, 1205, 1732, 609, 942, 543, 2259, 563, 304, 281, 1548, 3657, 634, 7454, 8648, 1677, 1684, 1773, 3471, 888, 5522, 3471, 616, 3501, 585, 15198, 543, 17212, 1324, 2566, 1354, 21557, 269, 1358, 616, 849, 1390, 585, 14304, 707, 4295, 6091, 1282, 519, 1554, 950, 596, 2461, 9361, 693, 960, 610, 538, 6808, 593, 519, 4155, 269, 9578, 267, 952, 596, 2461, 811, 8465, 543, 20291, 982, 1034, 1004, 267, 1287, 1544, 802, 616, 835, 540, 519, 1655, 5751, 585, 596, 1317, 789, 3580, 2087, 707, 3666, 267, 8112, 267, 22231, 267, 543, 11558, 269, 1924, 267, 2901, 1259, 267, 1544, 802, 616, 1390, 585, 596, 2336, 304, 281, 1548, 1684, 594, 1684, 1403, 594, 2052, 1406, 15579, 589, 1773, 1678, 888, 2252, 596, 666, 1406, 3180, 513, 28506, 585, 519, 9138, 2179, 540, 942, 267, 621, 779, 15502, 269, 3807, 1118, 2386, 602, 596, 2461, 1869, 3257, 519, 824, 1544, 802, 538, 707, 15904, 543, 602, 707, 1106, 568, 2953, 563, 304, 281, 1215, 10705, 9701, 594, 1684, 1773, 3471, 888, 2791, 1058, 798, 1544, 802, 5781, 543, 5781, 267, 607, 1454, 607, 2009, 269, 1403, 596, 666, 1152, 3514, 873, 883, 707, 8430, 1169, 2899, 538, 513, 1247, 267, 1287, 602, 779, 5386, 1932, 269, 634, 2640, 540, 1544, 802, 786, 18645, 936, 942, 543, 789, 3580, 1205, 811, 3532, 543, 2500, 609, 1142, 17279, 563, 288, 2603, 814, 1044, 4121, 827, 1544, 6362, 538, 519, 2250, 1906, 5756, 269, 6787, 596, 616, 3168, 547, 1376, 513, 1007, 8516, 6296, 267, 2087, 707, 4222, 543, 14555, 267, 610, 2087, 707, 3666, 267, 513, 1434, 28506, 786, 948, 269, 6787, 596, 616, 513, 19444, 610, 606, 4810, 8516, 27423, 267, 1565, 875, 547, 28506, 7157, 568, 1271, 563, 1692, 547, 1773, 1678, 1923, 1773, 1678, 29938, 1299, 4518, 8083, 1923, 26192, 294, 2096, 454, 305, 846, 569, 928, 568, 513, 1072, 543, 8516, 5856, 267, 5816, 3455, 267, 543, 15904, 13982, 269, 2701, 814, 1044, 1603, 2094, 1352, 729, 513, 1762, 8004, 543, 814, 1044, 8720, 1072, 543, 8516, 3584, 585, 936, 476, 1015, 1296, 269, 4173, 960, 814, 7902, 538, 3875, 17476, 269, 14986, 569, 928, 849, 11339, 585, 1200, 1378, 5816, 799, 25939, 936, 476, 272, 2929, 16125, 829, 3923, 269, 0, 304, 272, 269, 2755, 2048, 24834, 15070, 1053, 685, 6114, 585, 513, 2542, 8223, 267, 7436, 949, 581, 20952, 539, 585, 2560, 16414, 6959, 563, 304, 273, 269, 589, 1257, 602, 3340, 1053, 547, 11571, 538, 1931, 547, 1174, 543, 20272, 519, 5856, 779, 5048, 543, 3483, 1223, 581, 454, 5416, 264, 606, 679, 9871, 14037, 1349, 454, 6357, 264, 513, 11356, 2212, 1467, 454, 6262, 264, 513, 1305, 540, 5528, 547, 27043, 513, 3926, 454, 5560, 264, 513, 6648, 454, 304, 274, 269, 2755, 26004, 513, 5469, 267, 1053, 949, 581, 25009, 547, 946, 1893, 454, 304, 275, 269, 1280, 10442, 513, 16968, 2966, 607, 513, 851, 540, 513, 6735, 267, 799, 540, 519, 1739, 7355, 1131, 581, 519, 1034, 3617, 585, 519, 16488, 888, 5416, 264, 31999, 1543, 267, 2511, 543, 2262, 3970, 454, 6357, 264, 2422, 540, 24185, 267, 2511, 543, 3308, 9029, 454, 6262, 264, 27065, 267, 4143, 1543, 543, 3308, 9029, 454, 5560, 264, 27065, 267, 23935, 543, 3308, 9029, 454, 304, 276, 269, 2755, 3450, 1453, 547, 1224, 267, 693, 799, 1448, 1058, 519, 4116, 1445, 593, 8223, 888, 5416, 264, 1879, 1453, 3914, 1362, 4083, 454, 6357, 264, 2991, 1453, 723, 4121, 875, 547, 1232, 1712, 454, 6262, 264, 9406, 689, 519, 4098, 454, 5560, 264, 4495, 1453, 723, 27058, 18551, 454, 304, 277, 269, 11427, 269, 16429, 3873, 12134, 12605, 2055, 607, 1352, 14509, 16965, 513, 1650, 547, 1200, 1362, 8633, 1053, 269, 2701, 1281, 713, 547, 454, 5416, 264, 2087, 1053, 685, 6863, 454, 6357, 264, 1118, 519, 1650, 4277, 454, 6262, 264, 1445, 593, 8223, 454, 5560, 264, 948, 1053, 3314, 1271, 3877, 538, 519, 1650, 454, 304, 278, 269, 6904, 835, 540, 519, 1739, 1131, 581, 519, 1655, 2963, 547, 6542, 547, 3237, 543, 16984, 1018, 1053, 666, 798, 609, 1893, 888, 5416, 264, 2817, 6437, 543, 11382, 29422, 454, 6357, 264, 700, 1235, 540, 1576, 3853, 543, 6859, 454, 6262, 264, 29485, 538, 513, 1449, 454, 5560, 264, 31888, 610, 9433, 2854, 676, 1053, 454, 304, 279, 269, 6904, 540, 519, 1739, 568, 519, 5207, 1377, 540, 5042, 2702, 888, 304, 280, 269, 21619, 21685, 568, 606, 7214, 9659, 602, 11874, 5540, 519, 1620, 5759, 538, 2474, 540, 454, 5416, 264, 5711, 1893, 454, 6357, 264, 1129, 1893, 454, 304, 1015, 269, 1548, 568, 519, 1292, 3483, 540, 6965, 973, 2787, 538, 513, 1893, 4928, 888, 5416, 264, 1677, 5660, 543, 2972, 519, 6648, 454, 6357, 264, 1677, 2285, 741, 8369, 827, 519, 6648, 454, 6262, 264, 1677, 1831, 3222, 540, 519, 10564, 543, 1200, 960, 454, 5560, 264, 1677, 917, 519, 3140, 4282, 540, 519, 6648, 0, 290, 5055, 8775, 30225, 718, 19902, 4015, 454, 4263, 519, 1439, 540, 519, 476, 3707, 271, 338, 267, 4436, 12677, 6172, 828, 674, 761, 345, 15261, 612, 1676, 4862, 827, 519, 1761, 540, 4406, 5937, 14865, 543, 6976, 513, 3643, 547, 3627, 6601, 1777, 538, 476, 3707, 280, 269, 2311, 827, 519, 1482, 942, 267, 15261, 612, 1676, 1185, 1500, 606, 3801, 547, 18214, 918, 273, 543, 8118, 930, 540, 519, 1034, 2352, 11507, 538, 519, 2136, 2276, 676, 1863, 16246, 267, 5631, 538, 519, 26396, 836, 6064, 3148, 540, 1715, 3840, 3557, 563, 1103, 476, 3707, 280, 267, 15261, 612, 1676, 3964, 513, 1007, 3044, 538, 4406, 5937, 14865, 1282, 519, 1101, 18214, 540, 968, 299, 685, 19808, 2946, 7434, 324, 892, 693, 8053, 3751, 269, 11153, 6172, 1499, 540, 519, 1974, 1185, 2907, 1044, 11074, 2110, 676, 519, 7411, 540, 968, 299, 685, 19808, 2946, 7434, 324, 3034, 7212, 519, 18230, 3627, 6601, 1777, 1185, 15151, 1044, 519, 1101, 547, 18214, 593, 519, 4224, 6821, 540, 4406, 6424, 267, 621, 729, 519, 2663, 11564, 676, 15261, 612, 1676, 602, 2731, 3459, 519, 1646, 540, 519, 3148, 543, 4224, 16246, 538, 2489, 538, 2372, 2946, 13069, 269, 0, 289, 2660, 625, 3112, 581, 676, 3294, 269, 1703, 616, 824, 3688, 602, 616, 2877, 547, 22507, 9075, 543, 1118, 519, 9075, 9800, 1586, 269, 2290, 540, 1346, 3688 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1486, 739, 541, 7283, 1040, 1809, 267, 2921, 883, 2272, 519, 15748, 3157, 540, 934, 4958, 542, 543, 2417, 14965, 13496, 540, 2339, 538, 519, 10739, 540, 519, 1486, 739, 1513, 267, 1360, 4166, 630, 12898, 827, 4557, 2929, 1296, 264, 1007, 18477, 4703, 2443, 10785, 2443, 2253, 547, 1106, 689, 713, 2907, 1486, 26979, 8767, 12210, 630, 2889, 339, 617, 7416, 1916, 763, 5250, 540, 10785, 4386, 1813, 547, 10007, 630, 4621, 12371, 5631, 540, 7452, 1070, 799, 2458, 728, 609, 1142, 824, 1369, 741, 14965, 4610, 267, 6368, 8108, 519, 5920, 540, 2104, 10785, 543, 741, 15408, 269, 634, 5250, 4422, 593, 2394, 519, 8994, 8904, 540, 519, 4646, 10785, 1100, 3476, 11851, 338, 1022, 1713, 3310, 593, 519, 2417, 5250, 269, 3245, 713, 4090, 593, 267, 1022, 21611, 616, 2907, 23139, 563, 763, 1486, 739, 541, 3294, 3217, 689, 476, 2004, 2929, 547, 476, 1911, 2929, 1296, 1310, 5250, 547, 7873, 1619, 543, 3142, 519, 2837, 543, 2604, 538, 519, 4099, 540, 922, 4295, 547, 519, 2556, 7355, 585, 24254, 513, 22243, 3000, 13086, 5114, 269, 634, 23442, 3491, 2023, 4783, 267, 5892, 5018, 538, 519, 2063, 2376, 267, 786, 581, 519, 1292, 2707, 540, 1648, 585, 519, 1985, 17542, 540, 1296, 563, 763, 5250, 540, 24974, 1949, 666, 581, 11911, 547, 519, 1985, 3942, 540, 1582, 268, 32360, 543, 519, 28658, 540, 519, 2497, 540, 2339, 267, 1317, 713, 814, 2760, 5949, 1354, 538, 519, 17807, 563, 6097, 547, 3622, 7608, 3621, 6436, 267, 22243, 3000, 13086, 6547, 538, 938, 6129, 3323, 1354, 938, 4541, 729, 4646, 563, 763, 5250, 540, 4541, 3047, 607, 513, 2189, 1843, 540, 519, 3859, 1062, 267, 593, 799, 1272, 6818, 630, 5562, 1106, 540, 2339, 1070, 568, 513, 5094, 1650, 543, 649, 786, 2911, 827, 621, 538, 519, 1985, 2376, 563, 13126, 6402, 616, 1631, 538, 0, 6781, 340, 667, 4725, 328, 281, 3683, 519, 2250, 1906, 5756, 267, 519, 26768, 13323, 3148, 814, 2938, 606, 24034, 4473, 538, 519, 1297, 540, 2665, 540, 20560, 267, 3226, 1851, 1453, 563, 13328, 4204, 267, 811, 982, 476, 7742, 2929, 1004, 616, 2713, 609, 713, 2783, 269, 10251, 267, 519, 5354, 540, 6082, 3544, 519, 1895, 540, 2919, 2477, 610, 519, 865, 10777, 2048, 14140, 1158, 685, 798, 711, 25058, 2614, 2200, 547, 9004, 713, 2783, 610, 1413, 585, 2500, 5574, 563, 28723, 3621, 5868, 543, 2027, 2213, 2564, 10986, 585, 1382, 538, 9354, 5238, 616, 2838, 547, 1353, 3134, 850, 10364, 2550, 269, 4515, 269, 3220, 4168, 661, 269, 4432, 3455, 267, 4436, 11285, 538, 27096, 344, 543, 9972, 7548, 585, 11671, 11985, 8824, 338, 18025, 320, 8824, 9210, 850, 696, 1108, 630, 13142, 924, 12670, 264, 543, 9683, 7548, 693, 2160, 11233, 8843, 609, 13323, 5240, 519, 3123, 3297, 519, 3262, 540, 20560, 538, 713, 3148, 543, 2081, 547, 3713, 267, 13209, 543, 1521, 519, 2783, 563, 294, 8085, 293, 21832, 306, 281, 1548, 616, 519, 1034, 1455, 2589, 540, 20560, 286, 1879, 798, 891, 2589, 1101, 1459, 2933, 543, 1018, 2186, 540, 2175, 666, 5401, 3134, 850, 10364, 17465, 888, 11403, 8863, 305, 3041, 2316, 3198, 661, 269, 20700, 294, 2207, 281, 9210, 17952, 568, 711, 513, 2068, 538, 519, 7453, 2631, 267, 855, 513, 1804, 1895, 540, 3676, 27537, 676, 7368, 3134, 850, 10364, 17465, 563, 2467, 616, 1082, 3123, 540, 20560, 269, 1358, 2039, 689, 4719, 2242, 267, 4731, 845, 725, 540, 519, 2634, 267, 3441, 1813, 547, 3668, 540, 5135, 693, 4332, 267, 9715, 2175, 971, 607, 1085, 18732, 538, 519, 28481, 25283, 630, 8649, 3000, 779, 18057, 26379, 264, 547, 6084, 2293, 267, 15466, 4731, 845, 725, 543, 824, 3676, 971, 607, 16321, 748, 26379, 269, 898, 568, 4061, 513, 1895, 540, 3676, 3989, 676, 2589, 630, 572, 714, 999, 264, 602, 723, 1082, 3123, 563, 5353, 714, 999, 666, 2049, 4749, 693, 606, 2038, 2085, 543, 849, 3564, 519, 2085, 540, 476, 2568, 269, 1717, 267, 621, 568, 519, 8545, 1895, 602, 568, 4299, 811, 4749, 676, 713, 2783, 269, 634, 9803, 1981, 568, 1063, 519, 6502, 540, 476, 1626, 543, 476, 2568, 269, 769, 6689, 267, 22787, 2242, 543, 4719, 12889, 666, 1291, 547, 519, 12614, 540, 20560, 267, 1247, 538, 2025, 2085, 267, 621, 568, 15466, 3441, 538, 519, 3844, 8401, 1062, 543, 824, 1644, 9714, 725, 630, 31141, 540, 12110, 264, 543, 519, 15055, 602, 666, 1291, 547, 713, 2783, 563, 27309, 3582, 281, 4014, 20560, 568, 2808, 547, 581, 4686, 1851, 1762, 1453, 267, 972, 5526, 547, 581, 513, 1164, 9860, 540, 621, 538, 519, 26768, 13323, 269, 1548, 1223, 581, 519, 2601, 3297, 713, 286, 1684, 596, 1589, 602, 2825, 5533, 610, 4057, 2732, 666, 723, 513, 1909, 538, 713, 286, 2107, 568, 621, 7357, 4719, 888, 22977, 17952, 267, 950, 2808, 607, 513, 2068, 267, 568, 835, 540, 519, 1034, 1455, 14715, 3676, 269, 1656, 6689, 17465, 616, 5393, 1455, 269, 769, 519, 6259, 1158, 267, 1004, 899, 547, 19533, 1369, 513, 1920, 269, 901, 666, 1291, 547, 606, 13250, 540, 4719, 12889, 267, 799, 1419, 9594, 3134, 850, 1186, 625, 269, 7025, 2188, 543, 4057, 6484, 798, 711, 723, 1022, 1909, 538, 713, 563, 27309, 3582, 281, 1548, 18973, 786, 596, 899, 547, 2285, 547, 3237, 1058, 741, 1453, 1020, 3134, 850, 10364, 17465, 286, 1548, 15324, 3800, 666, 581, 7550, 888, 2691, 513, 1126, 568, 8995, 609, 606, 3134, 850, 10364, 23069, 267, 513, 3102, 5868, 1590, 581, 1500, 269, 898, 949, 581, 602, 606, 8650, 6553, 568, 2907, 1459, 610, 568, 3384, 269, 9210, 17952, 666, 581, 5462, 676, 6419, 16982, 9196, 630, 28122, 264, 543, 267, 952, 2556, 267, 998, 4719, 4152, 269, 8307, 1287, 666, 513, 1808, 3797, 581, 9709, 269, 769, 6689, 267, 513, 2048, 1910, 5791, 5868, 685, 568, 1271, 269, 901, 1797, 602, 519, 1106, 540, 20560, 568, 5462, 998, 18362, 267, 799, 568, 1287, 5701, 9935, 269, 11671, 1790, 320, 8824, 6791, 1058, 581, 5833, 693, 606, 2038, 3942, 585, 713, 3483, 563, 27309, 3582, 281, 1548, 1909, 1281, 2038, 5868, 543, 2126, 1404, 538, 8156, 713, 2783, 538, 1453, 888, 15900, 5868, 543, 2126, 616, 11613, 1271, 269, 23883, 538, 16094, 8584, 26327, 2550, 267, 2038, 3797, 666, 2061, 519, 3461, 779, 2634, 2773, 689, 4742, 3908, 610, 811, 16094, 15176, 563, 27309, 3582, 281, 1703, 616, 1978, 2010, 540, 11955, 585, 20560, 2126, 269, 2052, 1022, 2186, 540, 20560, 581, 5701, 609, 10551, 6304, 888, 2467, 616, 513, 3099, 540, 11955, 585, 2126, 540, 20560, 269, 1717, 267, 891, 616, 711, 5061, 1996, 2048, 788, 17952, 685, 607, 971, 267, 855, 5061, 1996, 519, 17465, 269, 1358, 798, 711, 10826, 20560, 267, 855, 1521, 519, 2014, 602, 5012, 547, 20560, 543, 7551, 1852, 519, 17465, 269, 898, 782, 5673, 593, 2953, 5868, 563, 306, 17790, 2126, 540, 20560, 568, 1759, 593, 519, 2856, 602, 538, 513, 1507, 8167, 540, 3134, 850, 10364, 2550, 267, 513, 7522, 569, 20452, 1689, 538, 519, 2634, 568, 3743, 267, 799, 666, 849, 581, 17515, 998, 6391, 610, 8955, 705, 3175, 267, 1510, 519, 3461, 7680, 1022, 14715, 22907, 2663, 593, 269, 6168, 476, 276, 268, 1015, 829, 1298, 540, 782, 3134, 850, 10364, 2550, 2154, 6391, 563, 27309, 3582, 281, 1306, 513, 4387, 945, 2027, 2478, 538, 5868, 543, 2126, 540, 20560, 267, 1018, 5574, 798, 596, 4782, 543, 1946, 888, 22977, 17952, 3797, 2443, 2436, 998, 6646, 267, 6391, 610, 2027, 2732, 630, 8208, 334, 264, 2443, 568, 513, 2123, 2213, 1935, 269, 1703, 568, 1100, 5650, 610, 3797, 602, 666, 581, 11311, 2066, 519, 4604, 547, 1169, 3461, 269, 0, 11854, 6900, 14333, 27519, 676, 27018, 2480, 8911, 2836, 528, 574, 4479, 30680, 661, 14695, 280, 454, 17129, 300, 661, 14695, 280, 568, 1031, 547, 3313, 519, 16930, 14333, 27519, 540, 513, 4396, 543, 5277, 3732, 676, 667, 17092, 630, 17843, 658, 2480, 8911, 2836, 528, 574, 4479, 1040, 667, 17092, 568, 513, 8143, 2079, 6293, 602, 3800, 875, 519, 2168, 3601, 540, 513, 3732, 1689, 2059, 609, 519, 2837, 563, 1103, 30680, 661, 14695, 280, 267, 27018, 17655, 1608, 528, 574, 13011, 7403, 1683, 513, 4028, 267, 2241, 1505, 585, 8159, 1808, 3002, 19206, 540, 2326, 269, 3509, 6191, 1205, 23986, 730, 799, 666, 2014, 1062, 5821, 610, 3441, 269, 1677, 2061, 713, 267, 9023, 1949, 616, 11368, 883, 519, 6191, 269, 589, 9023, 1062, 3568, 3002, 4483, 12862, 602, 10110, 543, 26632, 622, 1804, 9424, 540, 3002, 269, 1677, 2824, 513, 5078, 3002, 4483, 5714, 585, 513, 9023, 1062, 267, 621, 568, 1271, 547, 917, 519, 1808, 3002, 19206, 540, 1114, 2326, 563, 2005, 568, 1271, 547, 917, 1808, 3002, 19206, 585, 8888, 26119, 267, 9817, 267, 543, 9023, 1949, 269, 13583, 20445, 543, 8030, 946, 1808, 3002, 4390, 782, 519, 942, 585, 1374, 267, 2298, 1852, 267, 543, 1382, 543, 1646, 563, 763, 2837, 2039, 693, 799, 519, 1449, 568, 2356, 5340, 568, 476, 1911, 1107, 476, 7785, 11019, 290, 269, 1323, 8900, 19494, 23649, 543, 513, 19494, 23649, 5627, 4704, 1570, 267, 10991, 1094, 653, 10921, 267, 616, 26693, 269, 5637, 891, 25963, 616, 5116, 538, 519, 667, 17092, 1449, 12068, 543, 519, 2837, 568, 14661, 547, 519, 3355, 2837, 540, 519, 4603, 693, 476, 736, 11019, 290, 26553, 269, 634, 2837, 568, 9738, 585, 693, 2547, 476, 275, 1295, 547, 3715, 11466, 543, 519, 8143, 7455, 568, 6592, 269, 634, 1449, 19494, 568, 1287, 12699, 689, 519, 3355, 547, 519, 3803, 2837, 693, 513, 2557, 540, 476, 736, 11019, 290, 26553, 543, 519, 8143, 7455, 568, 6592, 269, 2991, 10916, 519, 8143, 7455, 667, 17092, 1449, 12068, 568, 22799, 547, 4055, 2837, 269, 634, 1094, 653, 10921, 3044, 568, 5116, 538, 519, 1482, 8900, 19494, 23649, 543, 922, 2597, 568, 6592, 269, 634, 1449, 19494, 568, 1287, 5116, 883, 519, 8900, 19494, 23649, 543, 922, 2597, 568, 6592, 563, 299, 1172, 1749, 15013, 616, 25541, 2047, 1310, 28817, 269, 20348, 15013, 949, 581, 2759, 610, 30000, 609, 513, 17180, 610, 513, 16405, 269, 27842, 616, 2356, 9916, 607, 4607, 269, 1403, 789, 616, 5701, 609, 3002, 610, 7344, 2126, 267, 713, 2126, 1590, 581, 7074, 538, 519, 1867, 563, 9169, 290, 3800, 6678, 531, 6853, 2242, 538, 5439, 1813, 547, 2242, 538, 741, 2168, 543, 3114, 3601, 267, 607, 513, 1599, 540, 2837, 610, 942, 269, 0, 12914, 476, 1839, 267, 476, 1001, 273, 6440, 11046, 1436, 1184, 476, 272, 1635, 267, 301, 16554, 559, 18664, 1446, 630, 6021, 31198, 2641, 264, 288, 2466, 737, 20783, 630, 6021, 31198, 6860, 264, 476, 273, 2311, 558, 1436, 1184, 3322, 946, 540, 1164, 2604, 5714, 32062, 547, 2736, 909, 513, 25183, 4496, 6908, 883, 1360, 5386, 20256, 267, 799, 950, 4396, 1518, 883, 5386, 5536, 6396, 729, 1031, 593, 1804, 4336, 1282, 1158, 2112, 4083, 4400, 2298, 32340, 540, 1325, 2073, 1962, 817, 2073, 1241, 2073, 9399, 2073, 339, 944, 5374, 543, 2706, 23212, 616, 31377, 4263, 558, 1436, 1184, 585, 4496, 8869, 910, 3163, 17445, 454, 12914, 476, 1015, 267, 476, 1220, 275, 6440, 12694, 538, 519, 3395, 4496, 8869, 2344, 616, 547, 2087, 6671, 11046, 1436, 2553, 543, 547, 1020, 1007, 11046, 1436, 3157, 609, 1732, 7607, 543, 4346, 4826, 11046, 1436, 476, 568, 835, 540, 519, 22237, 3157, 267, 855, 713, 4480, 568, 711, 5078, 585, 519, 2504, 540, 20085, 543, 2973, 32340, 454, 303, 32535, 5450, 718, 21395, 910, 10241, 910, 5020, 3163, 543, 31377, 11754, 1438, 19007, 630, 4456, 1070, 12182, 1772, 739, 1738, 4964, 532, 630, 295, 7709, 264, 543, 4496, 13297, 27724, 782, 723, 835, 1455, 2565, 5057, 281, 4496, 32340, 30003, 32340, 616, 1500, 998, 519, 11046, 1436, 1184, 540, 6986, 8407, 267, 971, 607, 24489, 267, 11956, 267, 19695, 267, 7601, 267, 610, 23212, 267, 971, 607, 5374, 267, 769, 935, 601, 267, 543, 17285, 17375, 454, 763, 4098, 540, 519, 3184, 568, 13991, 547, 2409, 540, 8391, 540, 4496, 32340, 1765, 30976, 3334, 585, 4496, 19605, 5663, 19461, 2326, 616, 1360, 1271, 851, 540, 5663, 267, 1317, 741, 2298, 814, 606, 3310, 593, 6617, 540, 2504, 1184, 543, 2298, 540, 3803, 1587, 1703, 616, 1585, 2409, 540, 4496, 8869, 10282, 454, 16165, 3198, 308, 6369, 3582, 6730, 11083, 6865, 22003, 9569, 769, 8869, 12669, 21395, 519, 946, 540, 3002, 666, 581, 1256, 2362, 607, 519, 8869, 568, 3622, 12699, 1586, 538, 519, 5663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 729, 2386, 594, 1185, 4810, 536, 8083, 609, 8459, 10007, 267, 30442, 16327, 14601, 4524, 267, 7882, 776, 30219, 630, 6518, 5828, 856, 547, 581, 2507, 3691, 6814, 1070, 513, 2295, 2855, 15219, 8926, 267, 9376, 329, 1177, 267, 30636, 4345, 20119, 6242, 267, 543, 630, 2288, 594, 729, 27967, 593, 519, 3877, 264, 17150, 2860, 563, 2467, 1590, 723, 1044, 2395, 950, 1250, 1920, 26845, 1540, 2479, 10962, 803, 547, 15608, 543, 13191, 269, 12344, 789, 7691, 602, 538, 1279, 2196, 267, 1310, 1250, 3355, 3834, 13578, 6319, 5293, 267, 891, 4930, 1131, 4001, 803, 519, 2609, 540, 5868, 281, 3384, 4835, 3800, 540, 1018, 729, 968, 7538, 892, 543, 1018, 729, 32623, 7949, 267, 1620, 875, 1367, 2589, 1644, 547, 513, 2898, 267, 543, 6616, 950, 547, 2307, 585, 948, 269, 769, 824, 1913, 267, 891, 4930, 6026, 803, 875, 547, 4383, 13027, 6547, 563, 296, 1131, 1265, 24153, 779, 6226, 652, 693, 519, 1753, 540, 1250, 22516, 267, 513, 4387, 269, 3502, 1175, 1022, 4387, 281, 607, 513, 23071, 538, 519, 772, 2529, 269, 13108, 267, 14161, 661, 269, 623, 745, 9116, 6039, 593, 10211, 547, 8331, 607, 513, 10615, 540, 6611, 6925, 585, 519, 16106, 1982, 269, 4438, 5741, 22358, 267, 646, 1185, 16913, 519, 4105, 4191, 540, 2367, 971, 607, 29962, 3627, 670, 269, 3794, 3317, 267, 12789, 269, 1703, 568, 513, 12701, 540, 3774, 538, 1010, 2777, 13991, 547, 8331, 8357, 8494, 807, 269, 1306, 513, 1126, 594, 1131, 1694, 593, 519, 5377, 25047, 543, 22401, 693, 1346, 11356, 804, 2089, 902, 267, 9896, 11147, 267, 543, 513, 4336, 2203, 540, 519, 10131, 14950, 693, 15729, 2052, 11232, 531, 563, 7069, 22516, 5747, 540, 6181, 542, 3534, 2231, 685, 2068, 538, 476, 1960, 272, 269, 1703, 814, 1044, 1022, 1297, 540, 8090, 2094, 950, 594, 723, 14406, 1864, 281, 1565, 547, 5397, 267, 610, 2852, 22692, 267, 610, 2390, 3478, 1250, 1101, 19887, 538, 519, 2749, 269, 1809, 2324, 593, 5213, 1406, 23703, 519, 17510, 1485, 21756, 814, 2016, 803, 513, 6793, 533, 836, 982, 1022, 824, 269, 594, 6999, 646, 941, 1934, 563, 1103, 851, 267, 594, 6999, 646, 8910, 1044, 1934, 547, 948, 269, 769, 6313, 519, 2257, 540, 14711, 267, 713, 1433, 2838, 513, 1114, 5578, 1305, 689, 1250, 6965, 269, 594, 1185, 547, 1382, 513, 2930, 1888, 267, 14377, 883, 2482, 2006, 779, 2474, 267, 1287, 1224, 609, 513, 19784, 779, 3750, 547, 2327, 594, 8910, 18423, 5168, 995, 269, 2353, 5830, 991, 2922, 9458, 1765, 15161, 789, 666, 2307, 267, 968, 3674, 713, 2312, 286, 1772, 713, 4977, 9495, 1306, 594, 21389, 22931, 609, 7713, 513, 631, 17129, 1591, 3210, 543, 844, 7627, 7189, 689, 519, 589, 8150, 9590, 10985, 267, 594, 14406, 1010, 9350, 6791, 269, 1261, 1185, 12979, 1819, 938, 1920, 267, 3226, 538, 519, 1296, 950, 1250, 4651, 729, 2476, 609, 519, 8136, 543, 1250, 3993, 729, 7829, 1250, 11959, 543, 10447, 593, 1200, 1378, 563, 1607, 1433, 1522, 723, 8118, 513, 5188, 594, 8910, 723, 2760, 1185, 609, 1864, 6382, 269, 1306, 1453, 540, 519, 4108, 917, 267, 3478, 938, 3237, 543, 22594, 547, 2911, 827, 741, 18517, 666, 581, 899, 16116, 513, 9376, 609, 513, 6632, 562, 22259, 269, 1809, 1631, 594, 8910, 723, 1185, 519, 6863, 547, 1376, 513, 6643, 269, 594, 917, 1018, 621, 779, 899, 547, 2036, 998, 634, 4750, 540, 30665, 543, 11916, 16332, 1108, 267, 2542, 1063, 3515, 540, 1239, 547, 1294, 1018, 519, 7189, 2731, 1589, 269, 594, 1413, 693, 519, 10081, 2987, 915, 832, 540, 5915, 518, 565, 519, 20691, 941, 2016, 267, 543, 594, 5431, 519, 2029, 3297, 519, 661, 7032, 303, 523, 594, 4163, 538, 1250, 1625, 572, 563, 7069, 22516, 543, 1010, 9164, 941, 9901, 609, 2550, 945, 267, 676, 4214, 267, 941, 7045, 3464, 540, 519, 6574, 3665, 269, 1306, 7189, 267, 789, 27424, 519, 20512, 269, 1358, 18886, 519, 2295, 2041, 1846, 269, 1358, 3576, 519, 5210, 269, 1358, 1185, 547, 7683, 7903, 519, 20691, 4724, 1582, 15564, 18936, 269, 1215, 798, 596, 1745, 286, 2052, 596, 3136, 286, 898, 779, 513, 4057, 19406, 267, 855, 538, 1250, 1272, 594, 865, 1419, 723, 547, 9260, 519, 1871, 540, 1367, 2833, 1996, 519, 2168, 1981, 540, 1250, 11959, 269, 1215, 5906, 1705, 621, 1205, 286, 1215, 1705, 7189, 3666, 519, 11411, 540, 7863, 741, 2550, 543, 2417, 532, 741, 3460, 888, 296, 6999, 594, 1223, 2307, 1864, 891, 2055, 269, 594, 6999, 646, 8910, 1185, 3476, 547, 2671, 1010, 1702, 538, 1272, 269, 5502, 267, 782, 594, 666, 798, 568, 1463, 1010, 4245, 21286, 281, 594, 2119, 547, 8756, 1010, 8296, 267, 1010, 8856, 267, 1010, 7279, 269, 594, 1522, 711, 3914, 519, 7599, 538, 713, 1560, 269, 1809, 594, 666, 2832, 585, 519, 6801, 538, 1250, 1603, 563, 1103, 519, 14272, 25074, 630, 8512, 476, 280, 264, 4864, 476, 4029, 267, 476, 1001, 272, 16829, 676, 10753, 11998, 19264, 1431, 538, 3163, 563, 30475, 281, 769, 519, 14272, 25074, 267, 17587, 15356, 267, 17437, 1284, 777, 976, 267, 8212, 267, 15571, 13808, 267, 24918, 454, 4002, 713, 4266, 538, 476, 1220, 276, 267, 6046, 21997, 808, 6759, 345, 1030, 15585, 4565, 520, 5747, 269, 18004, 538, 12996, 267, 15585, 4565, 520, 8678, 634, 24607, 5741, 538, 476, 3707, 275, 269, 1879, 646, 729, 1978, 602, 5125, 729, 1100, 3476, 13197, 606, 10570, 10514, 267, 646, 2322, 538, 513, 7662, 547, 4734, 519, 10514, 20671, 1788, 538, 11968, 1325, 32115, 269, 10374, 569, 27502, 267, 646, 729, 15034, 540, 1373, 513, 22342, 543, 729, 19275, 689, 13059, 547, 519, 2136, 2276, 585, 1079, 5756, 563, 16352, 10353, 519, 10570, 26645, 540, 670, 30090, 543, 18491, 30245, 543, 519, 2797, 946, 540, 10570, 9604, 538, 519, 6932, 6560, 1063, 519, 2136, 2276, 543, 519, 8168, 5742, 267, 9478, 15585, 4565, 520, 8120, 547, 4789, 547, 960, 593, 6046, 2257, 585, 824, 5301, 269, 1261, 5828, 1010, 3007, 547, 2564, 3096, 585, 5925, 13808, 543, 547, 4974, 6046, 2887, 719, 267, 1519, 519, 12178, 540, 853, 3224, 1756, 268, 3445, 269, 1261, 5129, 606, 15747, 1909, 538, 15819, 519, 1483, 6708, 540, 12526, 689, 519, 16836, 4858, 17383, 6046, 1449, 543, 10645, 602, 519, 6046, 9604, 1031, 538, 891, 4255, 941, 2523, 5906, 1317, 789, 11200, 539, 538, 1614, 5933, 267, 609, 519, 2063, 31612, 3942, 20427, 14556, 4328, 14599, 12526, 563, 1103, 476, 1960, 276, 267, 9478, 15585, 4565, 520, 3838, 519, 17587, 13458, 15356, 609, 519, 623, 1872, 31683, 4762, 3720, 267, 606, 3919, 646, 5280, 1336, 538, 476, 4198, 278, 269, 634, 476, 6795, 628, 623, 1872, 31683, 10985, 729, 4371, 538, 12670, 713, 2250, 5147, 543, 5059, 593, 2342, 779, 9295, 547, 6046, 771, 1301, 3512, 563, 305, 582, 4565, 520, 5280, 3142, 9962, 3007, 547, 519, 12178, 547, 3425, 540, 4598, 547, 5925, 13808, 269, 1635, 602, 942, 267, 1498, 267, 5925, 13808, 1185, 1500, 922, 1259, 883, 930, 1455, 3096, 602, 949, 2221, 3100, 9642, 269, 2311, 519, 2817, 7467, 540, 17437, 3163, 543, 3778, 267, 799, 649, 10272, 4505, 713, 1032, 267, 649, 4718, 6266, 540, 1806, 540, 519, 2442, 1944, 540, 14599, 6878, 543, 519, 2856, 540, 5925, 13808, 779, 1379, 563, 288, 16968, 19646, 519, 2640, 540, 774, 334, 7304, 611, 807, 267, 513, 1899, 540, 5898, 1212, 4461, 543, 30143, 5627, 18897, 1756, 543, 7101, 1756, 269, 3943, 2021, 11751, 519, 598, 1723, 2388, 538, 13922, 602, 621, 1131, 1832, 741, 2960, 2635, 543, 12954, 5898, 269, 18564, 875, 519, 8654, 538, 519, 10229, 16968, 2306, 519, 4807, 779, 3068, 16657, 269, 19759, 569, 267, 835, 540, 922, 15888, 4871, 539, 593, 519, 2063, 2012, 646, 3838, 609, 1079, 17587, 20421, 3744, 267, 24839, 543, 21322, 4354, 773, 563, 288, 1454, 811, 5432, 1402, 2275, 11857, 856, 29115, 540, 6046, 2257, 729, 519, 21489, 1922, 1746, 14806, 24005, 269, 23897, 1343, 540, 891, 15333, 6877, 12297, 1540, 3013, 779, 21489, 4558, 5251, 607, 2038, 607, 519, 476, 4350, 271, 338, 269, 8866, 6068, 547, 1900, 909, 267, 6529, 741, 3952, 883, 519, 5377, 540, 519, 11308, 4216, 267, 543, 1413, 998, 519, 1283, 547, 1294, 519, 7633, 540, 741, 3952, 3330, 519, 10887, 269, 14268, 1223, 1491, 513, 32708, 547, 1294, 602, 519, 10887, 3514, 1134, 269, 1635, 519, 3735, 476, 3707, 271, 338, 267, 6161, 21256, 827, 20392, 3214, 547, 5925, 13808, 865, 602, 519, 14806, 8113, 8554, 20374, 689, 21489, 8637, 1152, 547, 31272, 792, 607, 9754, 13742, 5756, 2663, 563, 5194, 4922, 1634, 946, 540, 7101, 1756, 729, 538, 519, 561, 29061, 1417, 5862, 1031, 593, 29167, 543, 23234, 689, 476, 4489, 278, 547, 476, 4572, 277, 269, 23897, 1343, 540, 2021, 267, 1631, 1634, 607, 7101, 1756, 21989, 267, 13556, 7366, 540, 3866, 338, 513, 1554, 269, 1677, 1832, 519, 26814, 25921, 11329, 267, 789, 1131, 946, 741, 17534, 610, 11469, 269, 12866, 540, 519, 2021, 2663, 647, 539, 543, 6603, 513, 11175, 602, 6766, 938, 1620, 540, 5925, 13808, 10892, 2157, 267, 9036, 3106, 4441, 267, 543, 4074, 4031, 563, 1103, 513, 3787, 540, 20451, 267, 634, 24607, 5741, 17303, 8694, 519, 946, 540, 14599, 20879, 12547, 538, 519, 10538, 268, 1042, 20341, 1350, 10270, 1031, 676, 674, 625, 3279, 585, 741, 12129, 2264, 269, 769, 476, 4350, 277, 267, 674, 625, 3279, 5189, 519, 2136, 2276, 547, 4396, 12258, 528, 267, 3575, 7146, 2173, 2255, 17375, 12129, 2264, 269, 769, 476, 3707, 275, 267, 1498, 267, 519, 8136, 2877, 782, 519, 20879, 602, 729, 2139, 547, 1628, 606, 10570, 10514, 269, 17823, 10117, 1296, 2663, 267, 674, 625, 3279, 32543, 22004, 922, 2699, 10824, 543, 26633, 267, 855, 713, 942, 267, 789, 1031, 30701, 267, 3079, 540, 2067, 267, 20879, 269, 2201, 519, 2318, 2427, 585, 674, 625, 3279, 267, 741, 12129, 2264, 568, 1291, 1863, 267, 1500, 538, 519, 2136, 2276, 267, 543, 1100, 3476, 1500, 609, 14599, 2326, 563, 2026, 649, 803, 663, 1229, 998, 891, 13742, 267, 513, 5152, 676, 32559, 27258, 540, 17665, 5129, 538, 519, 4282, 630, 5408, 3381, 2630, 1932, 2187, 1103, 562, 31106, 4627, 543, 17288, 19317, 454, 763, 11046, 10514, 267, 621, 3357, 9800, 563, 1103, 562, 31106, 4627, 543, 17288, 5991, 710, 454, 763, 7330, 3893, 1360, 2647, 563, 2171, 1336, 856, 513, 2197, 2066, 519, 1899, 454, 295, 611, 606, 11046, 10514, 540, 519, 1360, 1482, 2186, 563, 9336, 7853, 779, 14126, 11313, 321, 719, 519, 10570, 10514, 563, 3719, 18864, 779, 14126, 827, 519, 1554, 1250, 18459, 786, 2097, 454, 2691, 646, 16125, 630, 24030, 5601, 620, 332, 26663, 264, 899, 606, 11046, 10514, 454, 2691, 646, 2501, 267, 950, 646, 2501, 563, 2026, 519, 10525, 693, 519, 2817, 7467, 540, 17437, 3163, 543, 3778, 1118, 2312, 267, 649, 666, 1406, 9004, 5925, 13808, 689, 938, 3232, 2729, 610, 689, 519, 3677, 1158, 269, 1284, 4718, 13742, 540, 2442, 2528, 540, 519, 476, 4350, 271, 338, 267, 476, 3707, 271, 338, 267, 543, 476, 4198, 271, 338, 1765, 19477, 585, 3232, 946, 543, 2283, 1049, 19269, 1765, 12671, 799, 1906, 1185, 1022, 6161, 693, 519, 942, 269, 1284, 4076, 2854, 1354, 827, 519, 7965, 602, 2043, 543, 9988, 723, 12570, 1981, 630, 295, 16730, 543, 28313, 1040, 1809, 9478, 15585, 4565, 520, 2451, 721, 4245, 827, 4742, 811, 3222, 540, 519, 4890, 4598, 2157, 543, 4220, 2404, 609, 5925, 13808, 269, 1284, 1439, 713, 2022, 609, 1010, 1913, 267, 799, 616, 3144, 689, 1010, 17587, 11000, 269, 630, 4517, 1287, 649, 1283, 602, 1055, 609, 513, 3381, 585, 519, 32559, 27258, 540, 17665, 5152, 5018, 1657, 8094, 3719, 2257, 267, 519, 3635, 540, 519, 18678, 1379, 540, 519, 1480, 6457, 267, 729, 2141, 5532, 538, 1250, 2247, 609, 4324, 547, 1004, 269, 594, 4718, 2257, 607, 1373, 538, 10103, 609, 8103, 269, 594, 1705, 711, 4952, 602, 519, 2034, 3368, 540, 1250, 1272, 1131, 581, 6170, 593, 3646, 547, 513, 3200, 513, 6180, 531, 8594, 547, 8103, 2813, 676, 2257, 563, 1103, 519, 14272, 25074, 630, 8512, 476, 277, 264, 4864, 476, 1015, 267, 476, 1001, 272, 16829, 676, 10753, 11998, 19264, 1431, 538, 3163, 563, 30475, 281, 769, 519, 14272, 25074, 267, 631, 13952, 1299, 19964, 267, 17587, 15356, 267, 17437, 1284, 777, 976, 267, 15571, 13808, 267, 24918, 454, 5417, 513, 6085, 454, 1103, 519, 2887, 540, 476, 1220, 277, 267, 649, 5206 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1804, 5354, 630, 5038, 8472, 540, 5080, 9445, 7264, 540, 3864, 6561, 666, 10250, 741, 5072, 547, 519, 3703, 1772, 956, 563, 347, 28657, 476, 1001, 277, 17227, 1475, 16954, 1637, 1475, 260, 540, 11192, 15510, 2008, 347, 14106, 1043, 12102, 1895, 454, 347, 8448, 7298, 12102, 1475, 272, 267, 4200, 276, 1475, 271, 269, 275, 260, 2008, 23277, 12089, 7298, 12102, 1475, 277, 267, 17168, 1475, 272, 269, 273, 260, 2008, 347, 13707, 7298, 12102, 2551, 1475, 26482, 267, 25090, 1475, 6872, 269, 279, 260, 2008, 347, 13707, 16971, 2551, 1475, 1724, 267, 29121, 1475, 273, 269, 277, 260, 2008, 763, 476, 1001, 272, 2817, 5600, 3835, 11752, 2829, 267, 834, 10170, 269, 275, 260, 540, 519, 2551, 538, 5080, 9445, 4080, 513, 3909, 30901, 267, 1247, 476, 2764, 269, 277, 260, 1767, 789, 1185, 1100, 3909, 30901, 269, 1280, 3703, 12052, 607, 513, 2898, 267, 476, 4649, 269, 280, 260, 540, 519, 2551, 4080, 513, 3909, 30901, 267, 1247, 476, 4510, 269, 272, 260, 1185, 1100, 4984, 563, 3682, 15251, 958, 267, 5080, 9445, 814, 811, 27566, 338, 982, 1022, 824, 8225, 2749, 269, 634, 1283, 1614, 1034, 4080, 3909, 28930, 725, 538, 5080, 9445, 941, 8567, 630, 4343, 269, 273, 15992, 7054, 516, 5554, 542, 630, 2764, 269, 277, 8472, 543, 31881, 11297, 630, 2420, 269, 277, 22103, 1452, 941, 849, 519, 1283, 1614, 1034, 4749, 4080, 10764, 538, 3703, 12052, 563, 2026, 540, 476, 1001, 271, 267, 5080, 9445, 1185, 519, 5207, 11667, 1920, 4747, 540, 7131, 301, 259, 4281, 267, 27543, 267, 1247, 7460, 21621, 11667, 729, 1269, 10170, 267, 32133, 267, 543, 3084, 781, 11667, 729, 1269, 10619, 267, 25851, 269, 634, 3328, 1920, 4747, 729, 1269, 5952, 267, 278, 4792, 269, 3162, 5080, 9445, 1858, 1185, 519, 5207, 3328, 7622, 4747, 540, 782, 3670, 4884, 18013, 538, 5080, 9445, 267, 609, 606, 3328, 540, 1269, 10436, 267, 279, 2190, 607, 540, 476, 1001, 271, 269, 2405, 1014, 7622, 4747, 729, 849, 1164, 693, 1269, 7830, 267, 31634, 269, 3162, 5080, 9445, 781, 29117, 540, 14986, 4424, 1261, 2074, 568, 519, 29659, 538, 5080, 9445, 543, 2429, 519, 5450, 549, 26551, 1858, 267, 609, 513, 11667, 4747, 811, 982, 7466, 519, 6237, 3328, 563, 2026, 540, 476, 1001, 271, 267, 519, 11667, 7622, 4747, 540, 5080, 9445, 729, 1269, 6858, 267, 3583, 273, 630, 951, 639, 519, 3084, 11667, 540, 1269, 10602, 267, 275, 4391, 1070, 1141, 476, 3066, 269, 275, 260, 540, 10820, 538, 5080, 9445, 12236, 513, 7622, 2698, 4747, 540, 1269, 1911, 267, 1822, 610, 811, 267, 799, 568, 1657, 519, 3084, 3328, 540, 476, 1839, 269, 280, 18336, 763, 2749, 568, 6353, 676, 1970, 2551, 5860, 4683, 30832, 331, 267, 6093, 540, 3345, 1977, 4872, 267, 799, 2882, 2127, 540, 10821, 8027, 267, 1769, 2872, 543, 5010, 18013, 543, 568, 12155, 547, 14816, 1646, 543, 544, 8712, 269, 27051, 476, 3374, 2600, 540, 519, 2244, 568, 11280, 607, 851, 540, 519, 16581, 8092, 15944, 269, 634, 2749, 568, 6140, 15113, 543, 6366, 1633, 267, 609, 1034, 540, 519, 6366, 1633, 538, 14977, 928, 3650, 267, 18171, 601, 332, 699, 267, 5045, 540, 1849, 1478, 23014, 267, 543, 23045, 15842, 758, 563, 763, 2916, 568, 3335, 954, 18396, 770, 531, 7414, 9539, 2180, 8054, 281, 24925, 267, 6632, 24475, 267, 1419, 609, 5230, 11811, 9434, 883, 2038, 5614, 267, 609, 7646, 267, 13566, 28782, 543, 3579, 1313, 8435, 563, 347, 20458, 1239, 585, 5080, 9445, 630, 2735, 272, 6629, 1001, 271, 10245, 347, 13434, 867, 1164, 11019, 290, 630, 4113, 293, 10534, 1428, 269, 276, 454, 24820, 2071, 1164, 11019, 290, 630, 4113, 293, 10534, 277, 269, 278, 454, 25238, 2905, 1611, 11019, 290, 630, 4113, 293, 10534, 274, 269, 279, 454, 24820, 2071, 1970, 11019, 290, 630, 4113, 293, 10534, 271, 269, 280, 454, 347, 13434, 867, 1970, 11019, 290, 630, 4113, 293, 10534, 6629, 1704, 269, 273, 454, 24820, 2071, 13247, 6515, 630, 514, 2583, 10534, 5908, 269, 275, 454, 24820, 2071, 11811, 6515, 630, 514, 2583, 10534, 15094, 269, 271, 454, 24820, 2071, 6777, 6420, 4699, 630, 514, 2583, 10534, 1691, 269, 276, 454, 24820, 2071, 13247, 2395, 630, 19749, 354, 476, 271, 269, 273, 6515, 10534, 866, 269, 274, 1475, 1626, 269, 271, 1475, 1704, 269, 279, 1475, 1626, 269, 273, 1475, 1691, 269, 274, 1475, 1321, 269, 278, 1475, 279, 269, 275, 1475, 278, 269, 275, 1475, 279, 269, 274, 1475, 1626, 269, 274, 1475, 2420, 269, 273, 1475, 866, 269, 275, 1475, 9965, 269, 271, 2008, 24820, 2071, 24925, 2395, 630, 19749, 354, 476, 271, 269, 273, 6515, 10534, 1240, 269, 275, 1475, 1428, 269, 272, 1475, 1704, 269, 279, 1475, 1626, 269, 273, 1475, 1691, 269, 274, 1475, 1321, 269, 278, 1475, 279, 269, 275, 1475, 278, 269, 275, 1475, 279, 269, 274, 1475, 1626, 269, 273, 1475, 2420, 269, 272, 1475, 1240, 269, 272, 1475, 14690, 269, 278, 2008, 24820, 2071, 6777, 344, 2395, 630, 19749, 354, 476, 271, 269, 273, 4699, 10534, 273, 269, 273, 1475, 272, 269, 277, 1475, 271, 269, 4649, 1475, 271, 269, 1015, 1475, 271, 269, 271, 1475, 271, 269, 271, 1475, 271, 269, 271, 1475, 271, 269, 271, 1475, 271, 269, 271, 1475, 271, 269, 1556, 1475, 271, 269, 6321, 1475, 273, 269, 275, 1475, 278, 269, 275, 2008, 347, 13126, 281, 5113, 4516, 2008, 20776, 9445, 568, 835, 540, 519, 4102, 4853, 18013, 1369, 3703, 12052, 267, 609, 513, 24567, 1164, 2029, 267, 2973, 1648, 267, 4359, 5663, 267, 1072, 267, 2069, 267, 6683, 267, 543, 6575, 5823, 563, 19102, 848, 538, 2083, 2719, 2534, 538, 5080, 9445, 8507, 538, 476, 6245, 24299, 267, 1519, 476, 1428, 693, 519, 2749, 10689, 726, 18054, 267, 538, 476, 1001, 278, 563, 1103, 476, 1001, 279, 267, 5080, 9445, 8118, 513, 1269, 6924, 2929, 6915, 325, 3241, 9744, 267, 519, 1101, 538, 3345, 3013, 563, 2467, 941, 3670, 12820, 538, 5080, 9445, 538, 476, 1001, 278, 1142, 609, 811, 982, 476, 272, 267, 1822, 5234, 2066, 7460, 281, 2605, 6471, 2657, 609, 476, 1839, 267, 1822, 282, 3427, 10588, 476, 3607, 609, 476, 1015, 267, 28794, 282, 4975, 540, 5080, 9445, 609, 476, 274, 267, 6110, 282, 11076, 13317, 14205, 902, 609, 476, 272, 267, 278, 4343, 282, 10060, 1467, 8837, 6828, 609, 476, 272, 267, 6110, 282, 32765, 656, 6352, 12443, 23855, 545, 2160, 609, 476, 272, 267, 28590, 563, 10521, 2199, 267, 2101, 2022, 29364, 776, 3872, 5238, 267, 17363, 2605, 6471, 2160, 543, 32765, 656, 6352, 12443, 23855, 545, 2160, 267, 4607, 3255, 585, 7269, 269, 769, 476, 1220, 273, 267, 17363, 2605, 6471, 2160, 1500, 606, 5092, 676, 6679, 513, 13464, 538, 5080, 9445, 267, 519, 24700, 308, 5080, 9445, 28941, 267, 799, 6411, 513, 9682, 13464, 5665, 607, 513, 1857, 1382, 6280, 607, 1134, 607, 3246, 2417, 791, 28127, 585, 5935, 519, 2749, 269, 32765, 656, 6352, 12443, 23855, 545, 2160, 729, 11292, 513, 6280, 25084, 689, 519, 7460, 21621, 2229, 267, 18175, 15665, 3294, 689, 513, 2146, 2852, 547, 606, 4013, 4081, 3450, 9872, 602, 814, 1831, 12021, 538, 4294, 1382, 563, 293, 9879, 814, 9244, 1044, 7923, 547, 519, 2804, 1134, 5630, 540, 5080, 9445, 267, 607, 519, 2749, 540, 5080, 9445, 3294, 27838, 543, 2781, 7757, 513, 7347, 2528, 540, 8105, 269, 27051, 513, 3791, 540, 5080, 9445, 781, 2244, 568, 12873, 543, 11280, 607, 3484, 1633, 602, 568, 8246, 585, 519, 2199, 2504, 540, 1426, 547, 8597, 519, 2749, 781, 3395, 2551, 607, 1134, 607, 2810, 7694, 3255, 3842, 519, 5137, 540, 2199, 6009, 269, 11982, 5170, 547, 1045, 580, 28672, 5080, 9445, 781, 4346, 14139, 476, 20065, 271, 1004, 610, 476, 272, 269, 277, 2600, 540, 5080, 9445, 781, 2949, 11668, 3196, 269, 19007, 568, 849, 513, 3810, 4129, 1881, 5823, 1141, 2472, 616, 3812, 585, 2919, 543, 6932, 6080, 602, 2039, 689, 519, 5969, 540, 29421, 585, 1585, 7460, 19883, 10909, 547, 14335, 2842, 18434, 607, 1082, 5080, 9445, 2861, 2825, 10909, 616, 3854, 1944, 593, 519, 2749, 781, 7341, 585, 519, 2973, 1648, 5823, 563, 763, 1072, 5823, 2306, 513, 1713, 9295, 547, 5080, 9445, 781, 4346, 269, 5080, 9445, 568, 1753, 547, 3592, 476, 12010, 1072, 5829, 4213, 1141, 2101, 6212, 538, 1896, 1272, 2257, 1016, 268, 4167, 832, 602, 1331, 11763, 3676, 267, 7286, 6915, 1606, 7220, 267, 23798, 267, 593, 19223, 543, 27532, 4915, 269, 5080, 9445, 17341, 11233, 568, 519, 2034, 4102, 16108, 538, 519, 4975, 540, 5080, 9445, 609, 606, 5993, 5665, 6578, 540, 1269, 14983, 269, 273, 2929, 1247, 519, 1072, 1416, 3919, 267, 2605, 6471, 2657, 18271, 811, 982, 476, 275, 267, 1911, 1004, 543, 606, 3606, 476, 12573, 3742, 13500, 693, 15382, 295, 563, 7212, 711, 607, 1804, 607, 26551, 781, 2029, 5823, 267, 5080, 9445, 849, 814, 606, 6932, 10509, 5823, 609, 513, 3810, 17191, 17861, 1807, 602, 786, 5732, 957, 607, 513, 3490, 547, 7914, 3613, 691, 2093, 883, 1585, 1376, 5346, 3549, 689, 2199, 3048, 2209, 267, 31132, 267, 9520, 543, 11639, 563, 8170, 519, 2749, 781, 2551, 936, 519, 2085, 540, 476, 1839, 267, 476, 2537, 269, 278, 260, 3180, 513, 20277, 781, 4110, 610, 2362, 267, 5594, 2630, 519, 3084, 3328, 540, 476, 1839, 269, 279, 260, 543, 476, 5325, 269, 273, 260, 960, 538, 3318, 543, 31707, 6009, 267, 3379, 609, 519, 3084, 3328, 540, 476, 7367, 269, 278, 18336, 18662, 10588, 476, 3607, 5080, 9445, 13327, 525, 476, 1911, 1857, 10026, 543, 476, 2641, 1857, 6281, 3506, 267, 1818, 621, 519, 4102, 1857, 1153, 8664, 538, 3703, 12052, 269, 634, 1230, 572, 559, 1085, 7637, 790, 21473, 322, 25869, 632, 3288, 18207, 773, 5174, 761, 2335, 1664, 13333, 835, 8071, 25869, 1153, 538, 602, 2749, 281, 20527, 1723, 548, 18637, 686, 16279, 7304, 1195, 267, 799, 2882, 3119, 543, 6281, 2157, 563, 7468, 10675, 3506, 538, 5080, 9445, 1331, 2836, 341, 776, 4168, 9142, 267, 10513, 9061, 13636, 4400, 3427, 267, 7414, 9142, 267, 3204, 550, 4168, 9142, 267, 6519, 9412, 4168, 9142, 267, 5080, 9445, 4168, 3427, 267, 543, 3162, 16466, 3427, 269, 1703, 616, 1100, 1857, 1647, 3506, 538, 5080, 9445, 267, 865, 513, 6093, 10026, 1153, 2882, 9656, 998, 3446, 476, 278, 267, 543, 6281, 1153, 6238, 693, 3446, 476, 279, 543, 5170, 998, 3446, 476, 1321, 269, 1703, 616, 1472, 476, 4792, 267, 1822, 1053, 19801, 538, 1857, 543, 4357, 3506, 563, 20776, 9445, 568, 1753, 547, 519, 3791, 13464, 540, 17363, 2605, 6471, 2160, 267, 799, 8118, 922, 9885, 538, 5080, 9445, 538, 476, 1220, 273, 269, 24700, 308, 3576, 936, 519, 2230, 543, 5752, 602, 729, 7620, 3710, 585, 15306, 6195, 267, 513, 2930, 6280, 6069, 585, 5045, 540, 519, 2605, 6471, 5211, 676, 519, 1287, 9539, 7894, 3366, 21621, 2229, 269, 24700, 308, 5080, 9445, 3091, 513, 1297, 540, 3292, 267, 1519, 15306, 3080, 543, 4112, 32590, 282, 1101, 4458, 20165, 3681, 282, 543, 2090, 538, 2657, 3163, 267, 11930, 7070, 267, 7849, 7070, 267, 27565, 8551, 267, 6355, 10029, 267, 543, 20308, 8551, 543, 5303, 563, 20776, 9445, 568, 849, 519, 1753, 540, 32765, 656, 6352, 12443, 23855, 545, 2160, 267, 513, 4874, 23855, 545, 6280, 602, 8118, 922, 9885, 538, 519, 13053, 16011, 10418, 540, 5080, 9445, 538, 476, 2735, 272, 607, 513, 3210, 547, 519, 3395, 991, 585, 9450, 25367, 2866, 2066, 519, 2605, 6471, 9503, 269, 4595, 1287, 267, 621, 814, 9450, 547, 1683, 9682, 3786, 4926, 538, 29430, 267, 18999, 2917, 267, 543, 513, 23194, 543, 2029, 8998, 538, 519, 1849, 1478, 23014, 16011, 10418, 269, 634, 5080, 9445, 13464, 3091, 6280, 4483, 267, 4876, 13652, 1456, 543, 4081, 5346, 326, 15665, 3292, 609, 6212, 593, 2257, 267, 1870, 267, 6575, 267, 543, 1072, 267, 1519, 513, 15597, 3015, 9716, 8998, 267, 1247, 519, 1849, 1478, 23014, 13464, 3091, 25367, 2866, 998, 29095, 4721, 267, 14327, 267, 22783, 267, 543, 9733, 5557, 585, 9952, 23194, 543, 2930, 11678, 563, 20776, 9445, 849, 814, 1082, 4357, 2022, 29364, 776, 5238, 5356, 25367, 2866, 1519, 24761, 517, 5441, 267, 1975, 549, 1777, 26396, 5441, 267, 7131, 296, 5441, 267, 5375, 7991, 5441, 267, 28238, 1782, 5441, 267, 853, 28086, 5441, 267, 9142, 540, 4804, 267, 5080, 9445, 7991, 5441, 267, 20570, 7991, 5441, 543, 26551, 19396, 5441, 563, 763, 7467, 540, 5080, 9445, 568, 28337, 609, 595, 7246, 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 ]
[ 12635, 563, 274, 269, 1215, 16797, 4569, 568, 1114, 689, 966, 14037, 9119, 888, 309, 14037, 9119, 568, 1759, 593, 519, 27659, 6652, 543, 5455, 320, 4149, 583, 6652, 267, 1141, 607, 16797, 4569, 568, 1759, 593, 15361, 563, 275, 269, 1215, 2656, 4569, 2337, 803, 888, 30022, 4569, 10953, 1719, 538, 1453, 2509, 519, 1641, 543, 2337, 873, 547, 2087, 3432, 267, 32260, 1445, 543, 2790, 9273, 563, 276, 269, 1548, 1281, 2656, 2979, 2874, 888, 30022, 2979, 5161, 540, 2241, 543, 2653, 15361, 799, 616, 1031, 538, 7900, 12980, 4238, 543, 824, 4359, 2035, 540, 6128, 563, 277, 269, 4208, 2656, 2979, 568, 1271, 888, 30022, 4569, 568, 2556, 547, 10607, 1966, 9010, 5759, 267, 30551, 543, 7744, 1983, 799, 2337, 721, 547, 4194, 2042, 1360, 2653, 543, 3533, 538, 513, 12905, 6073, 538, 8013, 11400, 269, 0, 1607, 1505, 1875, 18615, 569, 19776, 513, 4704, 5311, 540, 21797, 547, 606, 3312, 5311, 540, 21797, 547, 3313, 6102, 1878, 540, 21797, 799, 4010, 610, 13974, 6474, 269, 634, 1505, 814, 513, 3209, 1935, 585, 2870, 513, 1804, 1297, 540, 30455, 676, 15652, 532, 12673, 540, 21797, 883, 10799, 902, 267, 813, 2056, 1875, 733, 27631, 10799, 902, 1927, 547, 1106, 8913, 1255, 267, 543, 2870, 30455, 689, 519, 8913, 1255, 269, 12039, 525, 616, 2813, 538, 713, 6073, 585, 1312, 519, 3312, 543, 4704, 12673, 269, 9828, 616, 849, 3177, 547, 5111, 610, 4010, 12398, 519, 10799, 902, 799, 1141, 1031, 547, 1711, 519, 8913, 1255, 543, 30455, 689, 519, 3312, 5311, 540, 21797, 269, 22731, 543, 4704, 30455, 616, 3379, 543, 13292, 616, 27424, 269, 14451, 2338, 540, 13292, 1267, 538, 2362, 8464, 630, 341, 4925, 264, 538, 513, 3349, 543, 5815, 513, 6793, 16726, 1063, 519, 9696, 593, 519, 519, 3312, 543, 4704, 12673, 269, 4635, 713, 1505, 267, 519, 4110, 540, 16726, 666, 849, 581, 5462, 269, 634, 6396, 568, 3730, 950, 9236, 513, 4704, 5311, 540, 21797, 547, 513, 1804, 6538, 540, 3312, 12673, 540, 21797, 269, 898, 814, 3156, 538, 519, 6211, 9443, 630, 16058, 11646, 11837, 610, 7421, 5946, 264, 543, 538, 3239, 267, 4633, 267, 543, 2575, 6284, 269, 0, 12041, 281, 3220, 269, 7200, 1047, 853, 9734, 267, 661, 6185, 6185, 1421, 700, 5425, 310, 267, 645, 6020, 4083, 20081, 11698, 267, 2904, 476, 276, 267, 476, 1001, 276, 14727, 20975, 281, 32680, 23369, 454, 29128, 519, 20640, 625, 267, 621, 1031, 547, 581, 602, 7218, 4947, 538, 585, 2126, 941, 3335, 1351, 337, 6817, 883, 1079, 15768, 13122, 281, 519, 15508, 2192, 610, 519, 6219, 705, 12528, 269, 3962, 1185, 6252, 2126, 543, 15768, 7616, 12535, 269, 1306, 602, 8717, 16668, 547, 513, 2673, 267, 865, 7902, 519, 2165, 12242, 5868, 267, 513, 4791, 1395, 32304, 799, 14013, 1107, 6368, 256, 1107, 26342, 519, 4641, 602, 1346, 945, 1995, 6219, 6057, 4713, 941, 3592, 2141, 538, 519, 31462, 525, 540, 835, 610, 811, 21276, 2790, 1072, 4713, 799, 2877, 2126, 563, 291, 783, 5868, 568, 950, 513, 1268, 2833, 513, 2790, 1072, 4524, 543, 513, 32435, 6219, 6057, 1966, 269, 1703, 568, 3573, 543, 5571, 18064, 3130, 936, 519, 3261, 520, 8864, 540, 1210, 513, 2582, 7121, 585, 513, 26945, 1895, 540, 2043, 609, 1950, 2115, 543, 513, 9867, 2039, 540, 2042, 269, 634, 1523, 666, 581, 1031, 17618, 267, 585, 1383, 267, 621, 666, 4766, 513, 1268, 609, 4965, 543, 29015, 267, 610, 621, 666, 581, 11658, 547, 14574, 4049, 2790, 4576, 899, 18624, 543, 513, 6219, 21568, 4524, 630, 328, 4318, 269, 2576, 705, 6748, 15267, 610, 513, 1268, 945, 814, 513, 1447, 10556, 532, 2790, 4576, 543, 3075, 21341, 1916, 28536, 3151, 513, 3119, 17867, 4576, 538, 6219, 705, 22852, 568, 4101, 267, 607, 3075, 6057, 3294, 1419, 13147, 923, 17867, 2589, 267, 3976, 1818, 621, 2352, 547, 16174, 1063, 6219, 13251, 543, 840, 25365, 2790, 4576, 269, 14171, 513, 7347, 1514, 1686, 543, 2870, 513, 1024, 6945, 267, 610, 7731, 10934, 267, 799, 2882, 513, 1920, 779, 1686, 540, 8194, 267, 6727, 2669, 267, 22888, 267, 32682, 806, 267, 16770, 9117, 856, 267, 2724, 2152, 267, 1565, 2042, 267, 4568, 6057, 267, 3075, 6057, 267, 538, 1840, 547, 2538, 6685, 267, 3092, 269, 2337, 538, 519, 4879, 269, 14171, 513, 6915, 268, 17595, 22181, 1686, 540, 519, 1367, 538, 2243, 2337, 267, 4352, 621, 1281, 711, 2141, 1683, 782, 519, 2556, 10881, 269, 4635, 519, 1382, 12191, 540, 5800, 571, 8132, 799, 729, 2919, 676, 519, 12370, 19120, 5511, 1763, 792, 7815, 267, 30960, 18039, 8752, 20584, 630, 763, 3203, 543, 3163, 540, 5800, 571, 8132, 264, 543, 10647, 1367, 11042, 609, 1883, 8639, 1775, 4318, 269, 1920, 2818, 2073, 1870, 9946, 267, 10040, 27192, 3092, 269, 7494, 27862, 519, 5133, 540, 519, 4857, 3461, 543, 11226, 538, 519, 4879, 1184, 563, 2026, 513, 19023, 6304, 626, 267, 594, 4076, 2938, 7218, 689, 1312, 5011, 540, 519, 2790, 4576, 4882, 889, 560, 766, 6057, 8552, 607, 1134, 607, 7218, 609, 606, 1285, 23750, 3832, 540, 3606, 2042, 602, 594, 4766, 607, 519, 570, 6020, 303, 4041, 8946, 3918, 2969, 267, 1346, 945, 1995, 513, 24596, 3390, 2901, 607, 513, 1267, 540, 513, 1991, 2783, 630, 328, 4318, 269, 4524, 610, 4576, 264, 610, 602, 835, 602, 568, 28978, 676, 3606, 2188, 630, 328, 4318, 269, 2168, 267, 3656, 267, 15779, 267, 3092, 12175, 1452, 11570, 543, 741, 3885, 1459, 513, 10368, 844, 663, 776, 609, 741, 25989, 573, 24005, 540, 12721, 543, 8449, 1271, 2152, 563, 5331, 596, 723, 513, 13977, 29350, 1032, 2025, 5256, 7817, 945, 729, 538, 513, 3978, 1286, 8009, 693, 2085, 28465, 799, 2451, 1864, 1612, 777, 5586, 545, 269, 1261, 22851, 538, 1482, 3023, 2238, 267, 814, 2935, 1229, 4189, 3270, 543, 814, 1044, 8995, 609, 513, 7209, 4524, 543, 814, 7411, 1739, 998, 593, 4247, 269, 4653, 646, 568, 1210, 8715, 2086, 2867, 26952, 543, 1247, 2111, 547, 5397, 543, 568, 14388, 267, 814, 8959, 547, 10131, 1022, 20991, 982, 519, 2199, 3075, 31066, 269, 3571, 1920, 2746, 1947, 13798, 323, 956, 1864, 607, 789, 1745, 519, 1928, 540, 1010, 2530, 267, 711, 3850, 1864, 547, 1332, 267, 13792, 538, 519, 2212, 7547, 540, 1010, 21049, 16236, 269, 901, 2013, 6799, 513, 4161, 689, 1082, 5380, 1519, 543, 711, 3908, 547, 2168, 267, 3929, 2152, 269, 15531, 513, 2126, 4099, 543, 9952, 5234, 547, 2232, 519, 3818, 13109, 540, 2188, 3587, 606, 1148, 1247, 8195, 2324, 609, 519, 1920, 563, 12024, 3772, 267, 519, 1870, 9614, 540, 513, 1134, 8153, 28910, 7125, 596, 269, 634, 1920, 568, 513, 3190, 543, 1200, 1303, 5971, 630, 321, 5350, 9614, 267, 8665, 267, 688, 2273, 816, 518, 267, 18935, 626, 267, 17539, 7376, 267, 3092, 4700, 568, 12922, 547, 3717, 269, 634, 2777, 568, 2407, 540, 10833, 543, 10833, 540, 796, 641, 2989, 25584, 1352, 814, 12349, 269, 2701, 729, 2938, 27560, 538, 513, 2199, 536, 719, 1664, 269, 2701, 30650, 9739, 269, 4173, 2123, 20843, 616, 14980, 538, 4250, 585, 741, 7694, 267, 607, 616, 1200, 3237, 945, 723, 1831, 851, 540, 519, 1303, 5971, 1352, 1590, 1489, 269, 769, 713, 2013, 607, 538, 1082, 899, 713, 267, 519, 1101, 4305, 585, 519, 6304, 626, 568, 547, 2736, 998, 519, 4250, 602, 519, 2319, 1472, 1200, 814, 865, 602, 513, 13374, 666, 581, 2813, 547, 948, 713, 1762, 2021, 2509, 1072, 543, 9716, 563, 2304, 476, 8660, 4458, 6040, 3993, 7125, 596, 267, 607, 1200, 1715, 5729, 779, 6999, 568, 547, 4688, 476, 6246, 4458, 6040, 6264, 323, 5922, 543, 476, 8287, 4458, 6040, 8250, 269, 4173, 6264, 323, 5922, 8075, 513, 8715, 2086, 2867, 8533, 2978, 538, 1200, 1753, 543, 27788, 9887, 609, 2367, 540, 683, 325, 13895, 979, 902, 268, 593, 282, 741, 5172, 2250, 830, 568, 547, 2736, 543, 4283, 6517, 269, 634, 7128, 616, 7928, 8436, 269, 2701, 814, 519, 5042, 5759, 540, 513, 19939, 1032, 2025, 543, 519, 30270, 540, 513, 20259, 269, 4173, 3993, 2729, 538, 513, 7404, 15678, 7296, 1494, 1169, 1554, 543, 568, 1373, 6462, 676, 519, 15678, 5234, 602, 2648, 1200, 543, 1200, 26137, 885, 269, 26681, 814, 1185, 547, 5963, 960, 267, 543, 1927, 789, 616, 1312, 546, 20621, 538, 519, 588, 604, 1782, 18755, 1170, 6421, 540, 3972, 7482, 267, 1920, 12583, 540, 16028, 267, 2538, 6685, 543, 6219, 6057, 269, 5637, 1995, 4160, 4713, 269, 3371, 267, 519, 15678, 5234, 593, 519, 835, 1688, 814, 547, 581, 6026, 602, 547, 948, 741, 1279, 7555, 16823, 267, 789, 723, 547, 1577, 1200, 979, 543, 3343, 2126, 269, 1280, 519, 8250, 267, 3656, 859, 2109, 18659, 543, 519, 9153, 540, 3478, 1200, 3993, 948, 6039, 607, 513, 18463, 585, 1689, 563, 288, 476, 1789, 4458, 6040, 5256, 1185, 14612, 998, 5722, 2126, 7740, 609, 519, 16190, 1145, 540, 606, 15561, 269, 3962, 942, 267, 646, 543, 1010, 3237, 1336, 13337, 609, 519, 4099, 269, 1280, 519, 3237, 621, 729, 2760, 741, 5067, 779, 13337, 269, 1261, 729, 513, 968, 12248, 787, 7911, 892, 18348, 539, 676, 519, 2749, 543, 1616, 517, 2021, 269, 1358, 5828, 513, 9420, 3750, 547, 519, 10654, 338, 267, 942, 6170, 538, 21569, 267, 1279, 2612, 1878, 543, 31028, 687, 269, 1306, 6304, 1235, 1250, 7649, 543, 594, 5249, 547, 946, 519, 3656, 29298, 540, 1010, 2013, 547, 948, 1864, 593, 513, 4155, 547, 1072, 269, 634, 7040, 30992, 1864, 547, 2625, 566, 543, 9516, 2126, 585, 835, 1032, 269, 1403, 646, 2451, 646, 1131, 581, 8120, 547, 21569, 269, 634, 5480, 6039, 607, 513, 1689, 8665, 269, 634, 1920, 8815, 547, 3251, 856, 540, 30562, 534, 1645, 519, 2126, 2319, 269, 589, 968, 27087, 15716, 892, 729, 2919, 543, 9896, 799, 9138, 8965, 2242, 585, 782, 6105, 711, 1175, 519, 7379, 269, 19171, 5698, 1063, 721, 607, 2013, 9946, 543, 519, 2126, 4099, 24458, 12477, 563, 4415, 1142, 2013, 267, 1250, 7649, 267, 11518, 8585, 4459, 267, 10507, 336, 269, 543, 594, 1265, 621, 1898, 547, 581, 28450, 267, 17519, 543, 7580, 269, 1284, 1590, 4225, 6304, 2994, 602, 16436, 543, 2463, 519, 1367, 543, 2697, 9354, 7459, 547, 948, 519, 2898, 1895, 269, 901, 2468, 720, 2882, 16116, 519, 1318, 2126, 4099, 267, 607, 711, 782, 2126, 7740, 616, 2813, 3160, 269, 1635, 602, 594, 1611, 789, 723, 547, 4481, 581, 2111, 547, 2743, 519, 2790, 1072, 267, 6219, 6057, 267, 2168, 543, 3656, 2115, 540, 519, 7817, 267, 543, 581, 1930, 547, 23712, 609, 519, 2013, 2359, 2319, 269, 1284, 538, 2490, 1590, 581, 1930, 267, 8465, 543, 7580, 538, 4259, 909, 21769, 1312, 3330, 543, 3544, 519, 2126, 4099, 269, 1284, 1590, 849, 581, 5423, 547, 3277, 1920, 2818, 547, 1866, 267, 950, 3617, 267, 585, 5571, 3797, 610, 14021, 11925, 563, 5978, 1072, 1416, 1062, 1281, 711, 2141, 18113, 2743, 519, 2115, 540, 10222, 921, 21784, 1849, 1801, 267, 741, 10357, 1606, 2448, 338, 543, 6219, 6057, 270, 11365, 1072, 2152, 269, 14559, 568, 2141, 513, 588, 22824, 3625, 269, 594, 3494, 649, 1590, 1413, 693, 519, 2126, 689, 2890, 267, 803, 3960, 334, 543, 12550, 5380, 1107, 519, 1367, 945, 2115, 948, 267, 519, 2126, 2319, 5885, 741, 2126, 22812, 11734, 543, 519, 12477, 2319, 5885, 519, 1367, 630, 328, 4318, 269, 3237, 267, 6068, 3283, 267, 741, 18607, 267, 1870, 9614, 267, 610, 688, 2273, 816, 518, 3092, 12175, 15526, 814, 547, 581, 593, 4604, 609, 519, 7817, 779, 2126, 2619, 267, 607, 1134, 607, 519, 1072, 1416, 1062, 799, 3413, 3581, 2126, 543, 2488, 585, 2146, 6051, 563, 1607, 568, 513, 2241, 267, 2943, 1768, 1026, 569, 1950, 9259, 281, 952, 519, 3463, 568, 17784, 267, 938, 18060, 532, 6114, 723, 547, 581, 607, 3638, 543, 7347, 607, 519, 8194, 543, 5778, 23755, 1350, 9662, 6117, 519, 11605, 269, 634, 5736, 540, 519, 10222, 921, 21784, 568, 1934, 267, 9306, 609, 5051, 13047, 2589, 602, 666, 1100, 3476, 581, 15044, 998, 513, 2757, 32680, 23369, 2126, 563, 4407, 1614, 949, 581, 513, 15624, 267, 649, 616, 693, 829, 559, 952, 649, 11716, 519, 2115, 540, 713, 524, 659, 2684, 517, 748, 555, 4181, 727, 609, 922, 2189, 24074, 543, 2619, 3098, 563, 14188, 596, 547, 11835, 645, 664, 8822, 631, 10499, 267, 9324, 1047, 21890, 514, 9049, 310, 543, 2701, 6511, 13985, 3626, 22601, 585, 741, 6351, 538, 8744, 713, 1271, 4901, 4464, 563, 10831, 540, 5784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 2944, 269, 898, 568, 4080, 602, 865, 2484, 827, 476, 3374, 260, 540, 9672, 631, 8991, 17336, 7783, 2550, 723, 5747, 269, 28298, 568, 5631, 998, 1480, 3562, 25993, 5563, 2523, 538, 1072, 1416, 5468, 282, 950, 3246, 796, 31695, 1416, 547, 513, 3461, 269, 2657, 1416, 2404, 17061, 723, 3181, 3176, 538, 1896, 2477, 267, 609, 519, 4102, 17061, 2938, 538, 18142, 17936, 267, 2136, 6259, 2506, 29521, 267, 543, 519, 6243, 540, 9705, 269, 11660, 2963, 723, 6700, 602, 546, 668, 539, 776, 4342, 1564, 616, 513, 2101, 13111, 3984, 585, 631, 8991, 17336, 543, 723, 10299, 631, 8991, 3968, 547, 3425, 4586, 273, 269, 277, 3057, 7921, 3644, 2068, 454, 11321, 7921, 3644, 2068, 630, 300, 13748, 264, 729, 19497, 1634, 607, 3057, 7921, 20178, 20723, 8611, 269, 901, 568, 513, 4049, 14603, 4576, 538, 3425, 10299, 547, 3425, 676, 454, 273, 269, 278, 32760, 3644, 3968, 454, 313, 11986, 3644, 11763, 2068, 568, 3361, 676, 513, 3644, 10299, 5631, 676, 454, 273, 269, 279, 5046, 268, 866, 8376, 454, 26542, 268, 866, 2068, 849, 1634, 607, 27649, 2068, 568, 606, 11763, 2068, 3361, 676, 513, 9241, 4362, 3644, 1572, 11452, 269, 898, 568, 3262, 676, 17366, 339, 6771, 689, 835, 1480, 547, 1776, 945, 616, 538, 2673, 2168, 5872, 269, 634, 5046, 268, 866, 3644, 568, 3262, 5097, 998, 20256, 540, 19975, 610, 11166, 689, 519, 9224, 950, 606, 7783, 1268, 11522, 338, 610, 14229, 324, 8240, 269, 898, 779, 1271, 602, 1004, 2259, 7929, 28972, 630, 1721, 1383, 267, 676, 23472, 883, 513, 4827, 539, 23969, 1040, 4658, 945, 1205, 7783, 609, 519, 5046, 268, 866, 3644, 1995, 7646, 547, 9793, 7929, 4576, 543, 9156, 1510, 8506, 2027, 2126, 269, 7981, 5095, 540, 3425, 616, 4299, 8335, 282, 26759, 4587, 1004, 267, 543, 1346, 609, 5817, 2564, 2042, 899, 3987, 267, 5312, 7929, 2068, 267, 9025, 2068, 267, 543, 2860, 616, 811, 2693, 547, 1020, 3978, 12214, 6114, 269, 10644, 540, 6771, 568, 1655, 6913, 676, 23646, 1524, 6771, 676, 4180, 602, 519, 2551, 568, 5483, 827, 519, 5046, 268, 866, 3644, 267, 519, 2068, 621, 3123, 543, 875, 621, 19082, 269, 4033, 8825, 3800, 1331, 11067, 3946, 610, 1210, 606, 4568, 1759, 6299, 4749, 1210, 11132, 9633, 267, 543, 711, 15700, 519, 3068, 269, 634, 1034, 1455, 2589, 1331, 8611, 267, 3819, 11522, 267, 13110, 1145, 269, 1703, 616, 1447, 1455, 2589, 971, 607, 31191, 543, 24074, 267, 15319, 11563, 267, 11591, 21539, 320, 267, 31792, 26628, 267, 15677, 267, 2530, 540, 6492, 610, 9329, 543, 513, 16420, 593, 2960, 267, 610, 32396, 540, 11263, 610, 19462, 269, 2859, 3978, 2589, 849, 13686, 971, 282, 7411, 7244, 610, 26032, 540, 7362, 267, 9221, 1928, 610, 2604, 267, 2530, 540, 4633, 610, 3350, 269, 898, 3217, 606, 3328, 540, 476, 276, 1700, 277, 2395, 689, 950, 606, 1367, 568, 7783, 609, 519, 3644, 585, 2589, 547, 1397, 267, 2705, 621, 666, 1491, 909, 547, 476, 1691, 2395, 269, 9615, 6140, 568, 676, 2589, 1323, 9516, 3075, 267, 1121, 9188, 643, 597, 630, 309, 2131, 331, 1722, 264, 568, 1031, 547, 1521, 5046, 268, 866, 269, 7102, 5574, 602, 616, 1031, 585, 5046, 268, 866, 1058, 581, 3144, 896, 519, 1416, 540, 513, 3782, 8502, 4586, 274, 269, 634, 2833, 540, 4571, 342, 1161, 1282, 513, 2068, 12176, 454, 6524, 11840, 908, 593, 519, 3741, 602, 786, 3391, 4571, 342, 604, 2044, 1416, 1282, 2205, 12040, 17061, 269, 2913, 721, 5660, 519, 2833, 540, 4571, 342, 1161, 1282, 519, 476, 273, 268, 1691, 268, 1001, 276, 24954, 3644, 2068, 12176, 538, 8644, 4997, 267, 4639, 4000, 269, 898, 568, 689, 713, 20457, 602, 519, 3741, 540, 4571, 342, 604, 2044, 1416, 1282, 2205, 12040, 17061, 616, 6069, 269, 589, 1353, 4330, 519, 2833, 540, 4571, 342, 1161, 1282, 519, 12601, 291, 12176, 538, 8644, 4997, 282, 519, 4571, 342, 1161, 941, 2713, 543, 2324, 538, 4250, 543, 9810, 282, 741, 2729, 543, 1346, 540, 741, 3885, 941, 13155, 1547, 634, 1883, 6161, 540, 519, 4571, 342, 1161, 941, 6161, 585, 741, 1920, 779, 3106, 267, 5626, 267, 3929, 267, 543, 1514, 1489, 269, 634, 4571, 342, 1161, 6140, 5433, 8078, 730, 676, 16495, 540, 741, 3924, 547, 3136, 12391, 585, 2550, 1282, 519, 24954, 12176, 1547, 634, 4571, 342, 1161, 4810, 588, 25634, 1436, 676, 519, 1857, 1282, 519, 12176, 1813, 547, 4250, 540, 1082, 602, 519, 4571, 342, 1161, 11542, 513, 3152, 1981, 547, 10141, 519, 2068, 547, 741, 3885, 543, 519, 1857, 538, 2489, 269, 1717, 1310, 2502, 538, 519, 2069, 540, 741, 3885, 543, 2550, 267, 1927, 609, 12250, 7506, 267, 543, 2229, 3646, 552, 1078, 519, 1198, 540, 588, 25634, 1436, 1547, 1703, 568, 991, 585, 6608, 547, 2087, 741, 3646, 547, 1020, 4507, 267, 1683, 2922, 2324, 2175, 267, 543, 2508, 2866, 543, 3872, 3292, 538, 24954, 1416, 4586, 300, 573, 342, 1161, 4810, 2242, 538, 519, 6384, 540, 519, 4571, 342, 1057, 1790, 520, 1304, 2078, 543, 2324, 538, 6887, 1282, 519, 1974, 540, 519, 12176, 269, 634, 2866, 543, 2069, 540, 519, 4571, 342, 1161, 267, 849, 519, 11865, 540, 8825, 3937, 19443, 519, 4571, 342, 1161, 547, 22919, 741, 6015, 543, 1582, 30797, 269, 634, 4571, 342, 1161, 1336, 2081, 547, 5905, 782, 2550, 5103, 519, 1164, 1981, 3238, 267, 1247, 1210, 519, 2123, 8825, 3937, 3177, 269, 1358, 5342, 4571, 342, 604, 2044, 5773, 4628, 267, 4824, 519, 2078, 1063, 2933, 543, 741, 2550, 269, 634, 5289, 10155, 540, 1072, 1416, 729, 4857, 538, 513, 1353, 607, 2629, 547, 7393, 4571, 342, 1161, 685, 1134, 5630, 1547, 4033, 4589, 723, 849, 4080, 602, 5132, 2861, 1072, 1416, 5238, 543, 2533, 616, 519, 6174, 1031, 547, 5397, 5289, 1072, 1416, 1547, 634, 3375, 1184, 3238, 538, 519, 4571, 342, 1161, 685, 5079, 2901, 547, 11904, 1416, 610, 711, 547, 11904, 1416, 585, 2550, 941, 1500, 593, 519, 4493, 540, 3929, 4296, 1063, 873, 543, 824, 4571, 342, 1161, 543, 11923, 267, 741, 3885, 267, 543, 2486, 269, 634, 3375, 1184, 849, 729, 1759, 593, 741, 1871, 1062, 267, 1519, 3318, 1143, 543, 17035, 269, 634, 4681, 540, 519, 918, 3326, 773, 267, 654, 1231, 869, 267, 623, 2180, 1512, 267, 543, 2983, 1228, 1353, 8612, 519, 5289, 2200, 540, 4571, 342, 1161, 1185, 3310, 593, 741, 3375, 547, 960, 269, 634, 1353, 4857, 513, 12497, 4786, 799, 4330, 519, 960, 3375, 1184, 547, 1331, 602, 519, 4571, 342, 1161, 941, 538, 513, 1533, 540, 4250, 543, 9810, 269, 4256, 3510, 729, 2404, 609, 3929, 543, 5626, 7516, 540, 519, 4250, 543, 9810, 2783, 1547, 11153, 2188, 941, 3254, 547, 3310, 741, 3375, 547, 960, 282, 1883, 1851, 873, 519, 1920, 269, 11068, 342, 1161, 1500, 3664, 547, 2901, 960, 610, 711, 1282, 519, 24954, 12176, 1759, 593, 1920, 9021, 543, 7569, 269, 634, 4571, 342, 1161, 4956, 547, 960, 607, 513, 1267, 540, 741, 2631, 540, 3318, 1143, 543, 741, 20185, 602, 519, 2877, 547, 4096, 593, 2696, 585, 3106, 269, 1703, 941, 12250, 7506, 543, 849, 2229, 5107, 799, 729, 3254, 547, 723, 1312, 2318, 543, 2942, 7506, 593, 2436, 519, 4571, 342, 1161, 4956, 547, 960, 610, 711, 269, 634, 4571, 342, 1161, 3375, 547, 960, 729, 6766, 676, 588, 25634, 1436, 2152, 799, 3361, 18354, 543, 17140, 269, 853, 25634, 1436, 2705, 1705, 711, 1796, 856, 607, 513, 2601, 585, 519, 4571, 342, 1161, 547, 6430, 547, 3247, 2324, 1282, 519, 24954, 12176, 269, 8409, 4571, 342, 1161, 945, 4797, 547, 960, 1282, 519, 12176, 11402, 2242, 538, 519, 2078, 1063, 519, 2550, 543, 2933, 607, 1134, 607, 267, 4571, 342, 1161, 269, 4329, 6609, 540, 519, 2188, 602, 6766, 519, 4571, 342, 1161, 547, 3136, 547, 11904, 1416, 547, 741, 2550, 1282, 519, 12194, 727, 543, 23487, 995, 476, 1001, 275, 1700, 1001, 276, 24954, 3644, 2068, 12176, 476, 616, 607, 5205, 912, 274, 269, 272, 12389, 538, 4250, 543, 9810, 454, 763, 4571, 342, 1161, 5433, 12922, 543, 9810, 1242, 676, 519, 7872, 540, 24931, 519, 2068, 998, 5872, 609, 2550, 543, 9164, 267, 543, 23142, 621, 547, 1920, 2818, 563, 763, 4250, 585, 741, 1920, 779, 3106, 1500, 519, 3510, 2352, 585, 519, 4571, 342, 1161, 269, 769, 1931, 547, 13468, 741, 12194, 543, 2061, 519, 2009, 6771, 540, 519, 3644, 547, 741, 1920, 2818, 267, 4571, 342, 1161, 10627, 1117, 2390, 741, 2132, 1753, 543, 1354, 789, 3459, 547, 2170, 609, 2818, 540, 741, 1920, 269, 901, 7613, 2813, 1018, 729, 4330, 607, 2168, 26865, 1063, 741, 838, 11817, 543, 1453, 267, 713, 729, 1360, 2352, 585, 873, 547, 22036, 267, 2523, 950, 789, 2808, 1390, 1981, 519, 3510, 15054, 547, 741, 1920, 269, 634, 2164, 540, 519, 1353, 4857, 602, 519, 4571, 342, 1161, 2808, 519, 2168, 26865, 607, 519, 3743, 3364, 547, 798, 282, 547, 2327, 741, 1920, 779, 3106, 28000, 540, 741, 7287, 585, 15754, 543, 804, 4923, 612, 689, 741, 1920, 2818, 269, 634, 3119, 2601, 585, 513, 4571, 342, 1057, 547, 3247, 2324, 1282, 519, 12176, 729, 4857, 607, 1920, 269, 634, 25339, 618, 689, 1920, 2818, 610, 519, 2631, 540, 1920, 5539, 729, 4857, 607, 519, 1883, 3815, 602, 6766, 1346, 945, 1705, 711, 960, 610, 11074, 1310, 513, 1974, 540, 2324, 563, 763, 4571, 342, 1161, 941, 13730, 585, 741, 3924, 267, 2648, 585, 1004, 267, 543, 29059, 610, 6568, 585, 7210, 1004, 269, 11038, 2640, 941, 711, 519, 8404, 269, 634, 11068, 342, 1161, 685, 7954, 585, 11173, 547, 960, 729, 602, 741, 30671, 547, 960, 1131, 5555, 1291, 547, 21393, 267, 602, 9444, 789, 6862, 741, 14077, 1131, 581, 838, 1563, 282, 602, 1131, 581, 519, 1427, 9084, 269, 634, 3510, 3177, 519, 4316, 585, 519, 4571, 342, 1057, 547, 2744, 3606, 4791, 1995, 267, 16169, 267, 543, 6015, 563, 274, 269, 275, 2696, 543, 3106, 454, 763, 4571, 342, 1161, 31030, 593, 2696, 585, 3106, 269, 901, 729, 519, 3119, 4199, 585, 3106, 267, 5103, 519, 8244, 540, 8825, 3937, 269, 1358, 5156, 602, 519, 2386, 1399, 540, 4027, 729, 1152, 2009, 998, 13829, 593, 2696, 563, 10144, 538, 2486, 7691, 602, 519, 4571, 342, 1161, 941, 693, 1981, 540, 24931, 3968, 543, 1223, 538, 2490, 3262, 519, 3644, 547, 519, 1857, 269, 901, 3366, 547, 519, 588, 25634, 1436, 540, 519, 4571, 342, 1161, 543, 8507, 538, 4606, 540, 4250, 267, 17140, 267, 543, 18354, 563, 274, 269, 277, 2382, 6627, 7506, 454, 2691, 10506, 6806, 1317, 540, 4250, 267, 12707, 335, 1563, 1145, 267, 543, 2009, 1164, 1981, 540, 6771, 547, 5234, 267, 519, 4571, 342, 1161, 5433, 519, 4316, 547, 3136, 7674, 729, 6806, 563, 274, 269, 278, 6554, 3646, 454, 763, 2229, 3357, 998, 609, 741, 5539, 547, 1683, 9608, 8825, 3937, 269, 634, 2229, 8959, 547, 5838, 593, 922, 9153, 547, 22771, 519, 4600, 609, 9651, 27108, 563, 275, 269, 14362, 602, 3391, 4571, 342, 604, 2044, 1416, 1282, 2205, 12040, 17061, 454, 763, 3741, 602, 3391, 4571, 342, 604, 2044, 1416, 1282, 2205, 12040, 17061, 786, 581, 5941, 3622, 585, 782, 2205, 12040, 2068, 17061, 269, 1452, 2489, 3741, 786, 2709, 2596, 3106, 543, 3872, 4808, 602, 2759, 2066, 782, 2205, 12040, 17061, 269, 4438, 2205, 12040, 17061, 1072, 4600, 616, 2356, 693, 1164, 1981, 585, 24931, 519, 5563, 269, 901, 13514, 513, 1390, 1981, 547, 741, 2550, 267, 1920, 2818, 267, 543, 2933, 269, 681, 754, 1359, 14774, 13494, 7614, 267, 703, 1905, 691, 636, 267, 543, 2022, 23196, 1416, 543, 7525, 20169, 1416, 1131, 581, 4101, 1282, 891, 17061, 269, 634, 9620, 3238, 538, 5627, 519, 17061, 3322, 519, 14196, 540, 5275, 585, 3666, 1063, 17185, 267, 24123, 4571, 342, 604, 2044, 7459, 267, 543, 519, 2631, 540, 3318, 10912, 269, 634, 3070, 1131, 581, 547, 3391, 4571, 342, 604, 2044, 2259, 609, 4909, 3741, 547, 4196, 607, 10850, 585, 13865, 2963, 1759, 4571, 342, 604, 2044, 7459, 1282, 14686, 2068, 17061, 563, 4322, 3741, 616, 5941, 896, 11890, 540, 4571, 342, 604, 2044, 1416, 282, 13494, 7614, 267, 703, 1905, 691, 636, 267, 2022, 23196, 267, 543, 7525, 20169, 1416, 269, 4937, 3106, 543, 2069, 2152, 786, 849, 581, 6045, 563, 275, 269, 272, 4165, 523, 7614, 1416, 454, 763, 1416, 585, 9176, 2021, 543, 741, 3395, 21565, 568, 991, 995, 547, 2327, 519, 5551, 6364, 540, 513, 2635 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1708, 273, 0, 306, 6312, 1470, 2389, 32294, 18868, 540, 26066, 18671, 742, 661, 12509, 2282, 4446, 992, 14522, 936, 519, 12815, 5463, 1228, 454, 26607, 11888, 267, 476, 1704, 5412, 476, 1001, 275, 454, 6635, 8157, 9381, 1949, 616, 6444, 607, 1373, 835, 540, 519, 1034, 2916, 1689, 910, 7925, 8134, 593, 3047, 543, 2099, 513, 1950, 683, 343, 639, 585, 6313, 1689, 693, 519, 8818, 1063, 7286, 267, 18714, 267, 11626, 267, 3956, 2214, 8879, 543, 1514, 1949, 269, 4014, 9381, 11761, 814, 4607, 2799, 3007, 538, 519, 11848, 267, 1906, 2090, 723, 8947, 519, 5386, 4336, 22883, 3999, 32294, 6384, 543, 13260, 538, 11761, 3928, 3448, 547, 519, 2039, 540, 2188, 602, 957, 598, 1260, 527, 14688, 547, 1852, 11761, 630, 324, 3052, 269, 8653, 540, 4672, 1863, 15798, 267, 8602, 2096, 4479, 267, 5951, 2962, 267, 4262, 543, 2011, 2837, 267, 5251, 19916, 1040, 901, 1353, 5359, 593, 519, 22883, 3999, 32294, 6384, 540, 5993, 667, 294, 4916, 12220, 540, 2144, 5317, 9381, 1025, 32332, 538, 7187, 14522, 2282, 519, 2749, 540, 4446, 992, 269, 24028, 903, 2059, 1309, 269, 476, 1556, 14790, 540, 519, 661, 28952, 20698, 3019, 5032, 723, 1044, 5342, 2094, 476, 1220, 273, 543, 3606, 12220, 2059, 1309, 269, 476, 6344, 14790, 540, 661, 28952, 20698, 3019, 543, 932, 3089, 6062, 7256, 5032, 723, 1044, 5342, 2094, 476, 1001, 274, 269, 1703, 814, 1044, 2178, 954, 268, 2335, 783, 22883, 3999, 32294, 13260, 538, 11761, 3928, 609, 1100, 16315, 540, 513, 1279, 2165, 1689, 538, 11761, 3928, 936, 942, 269, 11790, 9013, 5951, 8515, 630, 324, 3052, 269, 2842, 2196, 267, 1055, 13272, 8602, 2096, 4479, 267, 2460, 540, 519, 5032, 3448, 547, 17888, 12798, 264, 2491, 1034, 13260, 538, 11761, 3928, 936, 942, 855, 1282, 5266, 9350, 5712, 267, 5251, 1686, 543, 19916, 1831, 811, 1271, 269, 1452, 4681, 5031, 519, 3665, 5386, 4336, 22883, 3999, 32294, 30846, 538, 11761, 3928, 2059, 519, 11848, 11076, 267, 543, 519, 2956, 540, 6220, 1312, 7088, 5829, 20296, 2621, 543, 5251, 4162, 950, 20925, 2104, 2825, 2829, 538, 11848, 9381, 8916, 269, 8865, 2090, 24152, 1007, 6552, 15392, 4066, 543, 2104, 8846, 540, 1353, 786, 849, 581, 13890, 1519, 18714, 543, 23197, 9149, 291, 2752, 267, 543, 918, 924, 267, 772, 16787, 267, 543, 9682, 11052, 602, 568, 1373, 1031, 547, 17589, 543, 6895, 1283, 4919, 543, 3289, 25233, 1689, 2282, 2144, 5317, 9381, 1025, 32332, 282, 513, 12616, 9300, 3060, 540, 30562, 564, 11136, 1670, 543, 9804, 8596, 282, 1970, 1942, 2468, 268, 32681, 5787, 18852, 602, 2268, 5951, 17931, 267, 1974, 543, 20842, 574, 3578, 282, 513, 5619, 6077, 585, 11837, 2282, 13272, 8602, 2096, 4479, 543, 1216, 7998, 282, 543, 513, 1357, 2861, 3375, 1907, 585, 5355, 2359, 543, 4058, 540, 519, 9381, 7997, 2282, 4446, 992, 269, 0, 4407, 972, 723, 1044, 1082, 3140, 2090, 593, 519, 2081, 6214, 538, 519, 3376, 652, 2631, 540, 519, 2262, 13234, 538, 2127, 607, 3309, 607, 2069, 267, 1148, 267, 9769, 2534, 267, 543, 4008, 1894, 267, 891, 2010, 540, 9382, 723, 1044, 530, 4141, 2685, 15534, 538, 2090, 593, 2487, 19384, 1686, 269, 3718, 602, 798, 1413, 693, 6214, 538, 8478, 1063, 476, 4198, 271, 543, 476, 1220, 271, 4043, 547, 5659, 968, 1492, 2797, 892, 607, 14553, 5428, 6214, 543, 16809, 543, 3111, 547, 2272, 585, 519, 32475, 543, 10848, 540, 519, 6214, 540, 4948, 1272, 538, 2413, 8478, 269, 901, 8470, 11394, 547, 2232, 891, 22725, 684, 2801, 676, 3001, 3564, 2757, 24300, 540, 968, 335, 11823, 892, 547, 4983, 6626, 1514, 1894, 543, 9889, 22941, 2238, 607, 2797, 3157, 269, 1635, 2519, 593, 2152, 899, 4616, 267, 2069, 267, 4074, 267, 2442, 2528, 267, 543, 2029, 538, 1312, 3084, 543, 30427, 8658, 267, 649, 2263, 519, 1950, 543, 1419, 30137, 2853, 267, 20116, 267, 543, 6698, 540, 4948, 1272, 538, 8478, 538, 519, 2034, 3368, 540, 519, 14206, 2540, 269, 901, 1935, 786, 1450, 721, 711, 1152, 547, 1174, 875, 2757, 6214, 4299, 4948, 1272, 538, 8478, 267, 855, 875, 9889, 22941, 2283, 4850, 543, 2853, 7000, 2789, 543, 12721, 6214, 538, 8478, 269, 3958, 267, 971, 606, 1935, 786, 849, 948, 721, 547, 1174, 875, 891, 2797, 2283, 4850, 1860, 14172, 593, 8478, 4481, 267, 543, 5824, 3013, 811, 3622, 267, 2221, 269, 7053, 267, 676, 6313, 519, 8545, 3368, 540, 519, 14206, 2540, 538, 1514, 543, 2686, 2474, 2636, 721, 547, 1847, 3564, 14461, 1974, 3074, 1759, 593, 2797, 5712, 547, 1732, 1174, 875, 15763, 5756, 899, 519, 476, 4198, 271, 338, 543, 519, 476, 1960, 271, 338, 941, 2694, 540, 6626, 3157, 540, 1514, 267, 2686, 267, 543, 2797, 1689, 538, 8478, 538, 519, 14206, 2540, 269, 1306, 513, 1267, 267, 713, 8470, 786, 8195, 635, 12393, 24300, 540, 4948, 3029, 540, 4254, 16478, 543, 6214, 1247, 3001, 2509, 1007, 1974, 3074, 543, 24300, 540, 19384, 2486, 269, 0, 1607, 19347, 4670, 267, 968, 293, 549, 7999, 2223, 2934, 1079, 4190, 19946, 602, 723, 2760, 1185, 513, 1483, 2078, 2394, 741, 3237, 5884, 538, 513, 13249, 8009, 269, 1306, 835, 11078, 661, 3149, 320, 6368, 9397, 1863, 267, 519, 824, 11078, 17555, 669, 1162, 1310, 547, 1397, 602, 1352, 786, 2141, 3398, 1200, 269, 31530, 7999, 6770, 856, 519, 4798, 540, 1920, 267, 2648, 543, 540, 1576, 1175, 15603, 979, 543, 1373, 945, 596, 5963, 616, 269, 2755, 713, 513, 2295, 342, 9879, 1612, 762, 540, 11078, 3125, 267, 519, 1650, 3294, 814, 1454, 811, 547, 2995, 3297, 519, 1225, 13935, 269, 19992, 519, 1225, 13935, 267, 31530, 7999, 3096, 9059, 7060, 607, 513, 14165, 585, 23648, 563, 1607, 568, 513, 942, 950, 938, 4664, 616, 6151, 267, 11552, 6470, 267, 20437, 267, 543, 1007, 269, 661, 3149, 320, 568, 519, 11078, 609, 9589, 7060, 269, 2701, 814, 519, 2702, 547, 1711, 6777, 543, 4672, 855, 689, 519, 942, 1352, 729, 1762, 1352, 729, 5143, 547, 10703, 531, 621, 269, 901, 1223, 581, 1317, 950, 2469, 998, 23648, 267, 6690, 979, 998, 2242, 538, 519, 1560, 269, 4173, 3237, 1705, 711, 1616, 547, 1450, 519, 2367, 547, 1294, 602, 543, 29677, 1310, 1200, 865, 789, 19526, 1200, 2476, 269, 4173, 11078, 267, 17555, 267, 945, 729, 513, 2603, 7820, 693, 519, 942, 1705, 711, 1174, 799, 7142, 661, 3149, 320, 547, 1745, 899, 1352, 1223, 711, 9305, 547, 1200, 15042, 563, 1607, 3361, 661, 3149, 320, 547, 4625, 9505, 17555, 856, 269, 1879, 621, 2501, 547, 2021, 18644, 23648, 267, 519, 811, 789, 16401, 621, 267, 519, 8338, 621, 2501, 856, 269, 1879, 661, 3149, 320, 6368, 1011, 3941, 1352, 12662, 519, 3003, 10806, 896, 513, 1025, 11170, 731, 540, 13417, 31463, 762, 6777, 269, 634, 1007, 4606, 543, 938, 2712, 2471, 547, 9029, 547, 519, 6587, 3023, 610, 1482, 3023, 267, 1223, 1312, 581, 4330, 607, 2348, 7060, 269, 634, 5734, 5152, 267, 968, 4131, 621, 3619, 892, 949, 1459, 513, 4514, 2495, 547, 519, 1650, 543, 6157, 17704, 1782, 609, 661, 3149, 320, 543, 519, 3069, 540, 1200, 4947, 856, 543, 1373, 14447, 269, 661, 3149, 320, 2729, 676, 519, 2138, 1729, 267, 968, 3519, 576, 531, 267, 1810, 1406, 1745, 269, 5213, 1406, 1577, 621, 1397, 269, 4173, 3237, 12404, 1200, 2476, 538, 1200, 23103, 267, 9376, 519, 19235, 865, 602, 18864, 666, 1294, 1200, 7060, 269, 1358, 2161, 1200, 2470, 568, 30849, 607, 1134, 607, 5906, 865, 568, 1352, 7142, 547, 5721, 9887, 547, 1852, 621, 269, 1358, 4481, 2161, 538, 519, 7260, 602, 1352, 729, 711, 17400, 539, 609, 891, 7060, 855, 602, 1352, 729, 4535, 609, 873, 269, 2701, 568, 7142, 547, 5957, 3043, 17309, 267, 799, 23327, 602, 519, 17309, 616, 930, 1106, 540, 10703, 531, 618, 8066, 538, 1200, 3020, 4606, 543, 4664, 269, 1879, 661, 3149, 320, 6368, 3217, 1055, 519, 17309, 543, 2982, 1200, 7060, 519, 2486, 771, 12495, 1200, 543, 1352, 8255, 2476, 547, 519, 10239, 563, 763, 10239, 2099, 519, 15081, 650, 6370, 602, 661, 3149, 320, 568, 6849, 609, 1200, 4664, 855, 950, 1352, 6368, 666, 1406, 10703, 531, 621, 15042, 1352, 32395, 883, 3388, 1352, 568, 267, 855, 1223, 711, 581, 269, 769, 519, 5152, 267, 1352, 6368, 3081, 602, 3501, 8004, 568, 8854, 267, 543, 602, 1352, 568, 1863, 269, 661, 3149, 320, 729, 513, 30223, 1915, 538, 519, 4098, 543, 519, 811, 519, 1650, 23131, 267, 519, 811, 1352, 25580, 338, 9887, 269, 20504, 532, 9887, 729, 519, 1101, 851, 540, 1373, 945, 1352, 5963, 568, 855, 950, 1352, 2501, 1394, 547, 519, 10806, 267, 789, 6368, 4121, 547, 3398, 1200, 269, 2290, 540, 519, 1034, 11786, 6436, 585, 713, 7260, 267, 568, 602, 621, 568, 3023, 626, 563, 293, 549, 7999, 568, 1759, 593, 513, 17713, 4168, 18722, 18912, 9661, 1141, 513, 8004, 17990, 513, 5256, 3659, 855, 538, 519, 7260, 789, 1500, 17555, 991, 513, 812, 779, 948, 269, 1306, 2484, 607, 875, 519, 3197, 6743, 267, 519, 5256, 729, 1500, 856, 547, 1413, 899, 646, 3085, 1406, 1416, 827, 875, 646, 32293, 269, 901, 568, 17814, 607, 513, 32616, 1227, 5256, 269, 1280, 17555, 789, 1118, 1200, 3592, 2408, 547, 1413, 899, 14943, 684, 29992, 689, 519, 7260, 2048, 307, 22931, 269, 11313, 901, 568, 1175, 18445, 602, 1034, 540, 18557, 779, 3197, 3668, 4763, 269, 17555, 849, 1185, 5458, 4064, 602, 941, 18374, 8273, 982, 1034, 1200, 1560, 2694, 563, 1607, 1223, 581, 15202, 602, 513, 851, 540, 1373, 4775, 568, 547, 581, 607, 1507, 607, 2009, 1247, 2348, 824, 1560, 2694, 2462, 547, 4482, 1866, 269, 2201, 519, 824, 1688, 267, 661, 3149, 320, 20475, 875, 1863, 1352, 568, 676, 2141, 3257, 1018, 1352, 4941, 269, 2701, 3893, 7759, 540, 1200, 2025, 2757, 10571, 543, 22573, 621, 609, 513, 4190, 267, 543, 3023, 344, 10571, 269, 2701, 849, 21243, 1200, 1007, 14500, 1175, 519, 1259, 1352, 4941, 267, 899, 519, 3328, 2757, 4807, 1131, 798, 269, 634, 5191, 849, 3361, 1200, 547, 4734, 3297, 519, 10806, 607, 1134, 607, 1200, 11078, 269, 769, 1034, 18557, 9413, 519, 5256, 1131, 723, 3576, 5539, 585, 1010, 3527, 855, 1352, 568, 7142, 547, 979, 1394, 538, 11800, 563, 763, 11800, 21843, 602, 1200, 5191, 568, 3144, 2476, 689, 1200, 269, 2290, 540, 519, 1034, 15594, 6436, 568, 602, 6690, 616, 2141, 9991, 538, 2648, 693, 1101, 8289, 269, 901, 4523, 547, 17555, 950, 1352, 10742, 17713, 269, 17713, 3096, 1010, 19259, 547, 7753, 17555, 779, 4617, 2702, 547, 1294, 2250, 621, 269, 634, 19259, 568, 3592, 2938, 607, 606, 13417, 31463, 762, 3196, 936, 2021, 269, 901, 568, 513, 1379, 602, 2367, 723, 1031, 593, 2021, 602, 666, 1406, 1294, 2250, 621, 269, 898, 568, 3592, 711, 4023, 547, 519, 2021, 602, 789, 723, 1100, 1852, 936, 621, 269, 17555, 849, 3947, 17713, 782, 1200, 3972, 267, 6028, 1864, 519, 10806, 1247, 1352, 19707, 585, 1200, 11078, 269, 901, 4564, 1200, 1799, 4405, 640, 543, 3668, 540, 7326, 602, 1762, 2021, 1631, 513, 2395, 9446, 563, 1607, 3762, 519, 5304, 4743, 899, 789, 9446, 782, 2021, 607, 14255, 633, 543, 2219, 1652, 269, 2755, 519, 7260, 31530, 7999, 6645, 513, 9661, 827, 1079, 19946, 4947, 1927, 267, 621, 849, 2982, 1079, 2021, 4466, 741, 1378, 9342, 543, 12755, 269, 1358, 711, 1152, 1265, 741, 9342, 543, 12755, 855, 789, 1451, 543, 25580, 689, 519, 5377, 909, 269, 634, 4514, 6835, 1336, 538, 713, 7260, 666, 9305, 547, 875, 2182, 621, 568, 585, 2576, 15720, 1945, 547, 12404, 621, 543, 711, 581, 2111, 547, 2769, 945, 789, 2731, 616, 269, 898, 7512, 16764, 547, 2769, 741, 3020, 1582, 607, 1134, 607, 2736, 1863, 543, 1810, 1406, 1577, 2486, 6430, 945, 596, 616, 269, 0, 2791, 616, 8384, 281, 1215, 1082, 1698, 8558, 814, 554, 1180, 32136, 1185, 454, 13051, 514, 13051, 514, 267, 513, 4182, 538, 4639, 4000, 814, 1079, 2200, 4872, 267, 5800, 9539, 26785, 543, 849, 595, 582, 517, 537, 269, 769, 5484, 514, 267, 5800, 334, 9539, 26785, 814, 2141, 1044, 519, 1292, 3854, 267, 1256, 4505, 950, 5484, 514, 547, 581, 513, 3943, 12733, 269, 17859, 540, 713, 267, 595, 582, 517, 537, 814, 2141, 1044, 519, 2749, 602, 814, 2965, 24428, 519, 2197, 257, 338, 2229, 269, 901, 12402, 540, 891, 476, 273, 4872, 4730, 891, 11645, 814, 5571, 1256, 9625, 5484, 514, 6192, 922, 1582, 3146, 18910, 538, 476, 3192, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8329, 547, 3648, 676, 8028, 300, 1256, 950, 930, 540, 519, 1570, 568, 2003, 762, 610, 538, 3983, 2783, 269, 5015, 267, 519, 3631, 1031, 585, 2860, 1981, 9193, 8263, 1100, 12939, 1377, 585, 2860, 543, 9959, 602, 1022, 4598, 568, 15910, 8328, 269, 901, 949, 581, 24407, 1881, 538, 1769, 540, 1344, 593, 519, 6127, 585, 930, 20702, 27351, 4310, 2068, 269, 9122, 593, 519, 1655, 2139, 1239, 267, 621, 568, 1360, 12691, 602, 2860, 786, 1267, 689, 11255, 20702, 4598, 267, 2523, 1141, 8028, 300, 568, 1134, 9738, 269, 0, 19091, 18861, 566, 9648, 593, 519, 476, 276, 2990, 540, 519, 7510, 3234, 26593, 8258, 540, 11118, 657, 1149, 538, 519, 2796, 540, 519, 7188, 16197, 582, 728, 5311, 595, 335, 294, 3029, 835, 540, 519, 2789, 6106, 540, 27981, 2045, 6127, 9013, 543, 1110, 6819, 5444, 4082, 998, 6985, 11294, 2497, 269, 898, 5702, 25998, 609, 1277, 821, 12381, 543, 6985, 11294, 28889, 9934, 23838, 547, 1106, 519, 22308, 6985, 11294, 5251, 269, 5027, 18861, 566, 568, 1898, 585, 1697, 27899, 1646, 267, 2629, 585, 29501, 532, 543, 4249, 513, 1909, 538, 4509, 22308, 6617, 607, 1134, 607, 538, 18262, 13180, 269, 5027, 18861, 566, 3270, 616, 11630, 547, 1689, 538, 3210, 547, 2825, 15128, 971, 607, 2732, 610, 13802, 267, 17929, 519, 27981, 727, 4667, 547, 581, 1034, 7925, 1282, 2038, 538, 14685, 334, 1646, 269, 589, 828, 7949, 5027, 18861, 566, 2242, 723, 1044, 9571, 538, 1896, 3676, 267, 3226, 2860, 1141, 11646, 17253, 3834, 558, 14007, 566, 14626, 1938, 609, 6090, 24594, 5409, 332, 14007, 566, 269, 5027, 18861, 566, 3270, 666, 581, 1031, 547, 3713, 2860, 693, 1360, 2038, 5933, 267, 547, 19665, 12970, 607, 1134, 607, 3589, 543, 6895, 519, 3210, 547, 1884, 710, 31129, 2126, 269, 1306, 513, 7123, 31332, 14092, 573, 2861, 14842, 609, 3908, 6422, 2039, 602, 568, 20248, 2653, 547, 6023, 267, 5027, 18861, 566, 568, 513, 9621, 24750, 518, 585, 1082, 3156, 269, 0, 293, 4288, 540, 32185, 543, 966, 273, 303, 9442, 7010, 585, 519, 8881, 540, 23977, 1676, 762, 10003, 20305, 454, 763, 2773, 540, 1604, 8226, 8596, 4249, 606, 1271, 5066, 585, 519, 7145, 540, 4359, 9920, 6351, 1949, 630, 4696, 3008, 1040, 901, 1957, 23607, 1114, 2409, 585, 9300, 2203, 5108, 585, 7145, 13502, 543, 24283, 513, 1007, 9300, 2203, 796, 4328, 519, 1292, 5383, 540, 1455, 15002, 2065, 543, 32094, 4485, 269, 1306, 606, 1383, 267, 519, 1957, 18252, 519, 1007, 9300, 2203, 547, 8495, 519, 2640, 540, 18756, 9300, 1949, 585, 31355, 3106, 269, 31913, 8596, 616, 513, 5266, 1007, 2029, 799, 2636, 585, 2189, 1843, 8760, 543, 31338, 7488, 540, 513, 8289, 25518, 269, 1677, 5352, 513, 2203, 267, 1483, 1158, 7403, 616, 6394, 609, 513, 18756, 9300, 1062, 5665, 693, 476, 273, 269, 275, 717, 13703, 269, 7053, 267, 7145, 13502, 616, 5340, 547, 5659, 519, 4324, 540, 18756, 9300, 1949, 538, 6476, 547, 513, 2582, 9300, 1062, 1759, 593, 513, 1395, 22811, 8254, 543, 513, 1164, 15134, 12760, 1062, 609, 2463, 547, 513, 1305, 540, 31355, 10913, 269, 0, 20751, 519, 1985, 1896, 4374, 267, 1053, 2066, 519, 2197, 786, 581, 13059, 547, 10026, 610, 1164, 1153, 13460, 610, 16144, 1055, 547, 2852, 3786, 4926, 1141, 789, 3580, 581, 6534, 547, 3078, 4081, 2591, 267, 31369, 3610, 267, 18398, 1514, 3255, 267, 543, 513, 3984, 540, 2152, 18363, 741, 1072, 543, 1134, 1373, 269, 5221, 1967, 538, 1153, 5673, 865, 8185, 593, 2834, 1362, 20343, 543, 3742, 7589, 267, 621, 779, 4105, 585, 1053, 540, 782, 6502, 547, 1491, 3268, 547, 2057, 3478, 7210, 543, 547, 11694, 741, 1648, 543, 15131, 269, 1358, 1331, 912, 7476, 3617, 6375, 3074, 543, 2638, 5725, 454, 15973, 27809, 3676, 666, 3262, 1360, 6385, 998, 2875, 5095, 267, 865, 4180, 602, 707, 2875, 814, 4607, 782, 3617, 25750, 1991, 547, 4098, 1153, 568, 14063, 269, 1403, 596, 5749, 1406, 2386, 799, 10074, 616, 2838, 610, 5227, 267, 2638, 609, 707, 1126, 779, 12963, 1014, 267, 519, 1153, 267, 610, 707, 2199, 1072, 8257, 269, 1656, 1810, 1406, 7340, 519, 2770, 6669, 267, 799, 568, 3335, 2139, 4098, 538, 5181, 563, 1103, 1840, 547, 6375, 3074, 267, 1118, 2386, 707, 1126, 11392, 513, 6296, 1072, 2638, 1575, 543, 1022, 3617, 32182, 547, 6895, 1010, 610, 1200, 1646, 543, 3713, 1022, 1761, 2042, 602, 1223, 15936, 609, 1153, 2773, 269, 13705, 710, 5075, 543, 6217, 32182, 616, 3226, 1271, 267, 607, 891, 12823, 616, 865, 5702, 5532, 547, 1565, 563, 19894, 5959, 2638, 5725, 616, 849, 1898, 269, 2755, 5959, 9882, 949, 3100, 28971, 3379, 547, 1434, 5075, 543, 6217, 267, 2042, 7133, 519, 5023, 543, 4522, 616, 2965, 513, 2101, 2014, 540, 1153, 15534, 2465, 1143, 563, 15973, 6510, 1072, 4145, 609, 1153, 5234, 454, 2252, 707, 1126, 814, 1022, 11959, 610, 824, 1072, 4145, 267, 621, 779, 1360, 1271, 547, 5968, 1346, 4145, 547, 519, 1153, 5234, 693, 519, 4098, 540, 519, 1032, 1765, 31860, 952, 519, 1072, 3390, 568, 5732, 1272, 18446, 267, 971, 607, 606, 14711, 547, 513, 1880, 1426, 610, 5521, 29097, 602, 666, 2014, 606, 20942, 9471, 269, 5269, 2386, 782, 2556, 6527, 630, 324, 3052, 1421, 1582, 2987, 915, 3134, 710, 31058, 264, 616, 2139, 693, 1153, 543, 602, 519, 5234, 568, 4628, 813, 337, 2213, 540, 1022, 2027, 2115, 610, 2168, 7687, 707, 1126, 949, 723, 267, 1022, 2589, 789, 1058, 581, 3222, 540, 267, 543, 875, 789, 1058, 4431, 538, 519, 2680, 540, 606, 6595, 269, 4746, 267, 952, 707, 1753, 2232, 267, 960, 6049, 1297, 267, 610, 12963, 1014, 814, 5063, 4957, 267, 581, 2386, 547, 9337, 707, 2564, 543, 6595, 3346, 1344, 609, 519, 1153, 563, 10673, 1406, 18178, 14254, 454, 22137, 723, 3254, 602, 1053, 945, 1376, 519, 1554, 609, 513, 2635, 267, 14312, 14254, 1685, 1732, 538, 1153, 982, 1346, 945, 2901, 18178, 713, 1271, 7594, 610, 3970, 1018, 789, 3548, 547, 3536, 602, 616, 17078, 523, 609, 4006, 610, 1164, 538, 15459, 3170, 269, 4841, 945, 616, 3978, 827, 1565, 1058, 2062, 2998, 519, 24494, 24799, 267, 32314, 14859, 22756, 267, 28019, 267, 543, 30725, 720, 538, 3870, 540, 513, 14254, 3638, 538, 3940, 689, 10709, 16469, 267, 5798, 267, 10808, 267, 543, 1970, 19339, 10683, 543, 6775, 689, 5613, 267, 5388, 267, 543, 2898, 9274, 269, 901, 4999, 786, 1832, 1053, 4743, 2407, 267, 2893, 7007, 267, 543, 10332, 1247, 7303, 519, 1973, 4006, 21782, 543, 16154, 602, 3762, 873, 4743, 13110, 543, 8886, 762, 676, 4571, 2173, 528, 940, 563, 28036, 593, 621, 2336, 288, 1434, 3781, 779, 3207, 568, 835, 540, 519, 1034, 3730, 2645, 1053, 540, 1022, 2085, 666, 1491, 883, 519, 4928, 269, 4841, 945, 1205, 513, 1697, 2179, 540, 1964, 995, 3207, 1142, 3781, 2972, 513, 2362, 1648, 1377, 267, 3152, 10332, 1145, 267, 5857, 704, 3965, 543, 5834, 267, 3152, 3929, 6617, 267, 1732, 4761, 1599, 267, 543, 1082, 824, 2640, 269, 10251, 267, 19962, 547, 7506, 971, 607, 3735, 5991, 697, 16081, 2719, 543, 519, 4527, 540, 7641, 338, 267, 5100, 11436, 267, 14342, 267, 5904, 267, 543, 824, 2029, 538, 519, 23103, 267, 1906, 1053, 2965, 1205, 519, 3207, 789, 991, 538, 1931, 547, 1685, 693, 741, 1655, 538, 1153, 269, 1548, 779, 811, 267, 1053, 1419, 10205, 1434, 12008, 6208, 7357, 936, 519, 4832, 3275, 563, 2414, 1205, 1394, 593, 3950, 1354, 1153, 6238, 267, 1053, 1058, 2253, 2469, 547, 5127, 513, 2370, 3787, 4505, 1169, 3781, 2394, 741, 3339, 1153, 6066, 3207, 8430, 568, 759, 25390, 269, 2986, 1576, 267, 609, 7820, 1053, 267, 713, 1184, 786, 723, 547, 581, 24451, 676, 3237, 563, 1692, 1454, 3207, 568, 6190, 286, 20226, 4363, 693, 2547, 4557, 3108, 540, 3207, 829, 3781, 585, 1153, 21943, 1453, 543, 513, 5934, 540, 5722, 547, 5216, 3108, 1142, 3781, 585, 2852, 1053, 563, 19400, 856, 585, 2597, 2744, 454, 3086, 12997, 267, 4430, 1560, 2597, 814, 1831, 513, 6161, 585, 1053, 540, 12303, 1169, 2085, 269, 1677, 1832, 2597, 3766, 664, 693, 15922, 267, 621, 779, 9415, 547, 1205, 693, 2547, 476, 2568, 3764, 540, 24526, 2168, 2534, 593, 1034, 2395, 540, 519, 3018, 269, 5029, 1242, 5026, 616, 513, 1390, 1259, 547, 6451, 2834, 3635, 883, 513, 2875, 779, 1554, 267, 855, 585, 1346, 945, 5749, 1406, 7619, 1227, 20916, 267, 3257, 1945, 607, 2241, 607, 6972, 610, 14964, 513, 11332, 547, 1153, 1169, 1554, 3079, 540, 1373, 9141, 676, 1286, 610, 1668, 630, 604, 4052, 264, 666, 1118, 782, 519, 3017, 563, 5575, 4458, 2458, 720, 1053, 616, 3226, 7925, 547, 2597, 2744, 1317, 585, 519, 1101, 942, 538, 741, 2729, 267, 789, 2461, 9003, 3743, 585, 741, 2123, 5079, 31251, 519, 3536, 789, 2322, 538, 741, 28182, 269, 2334, 1249, 13745, 609, 824, 2188, 267, 971, 607, 1007, 267, 811, 17173, 4081, 7569, 267, 782, 5991, 697, 1353, 7886, 267, 543, 513, 13497, 1114, 1514, 1604, 267, 666, 1291, 547, 930, 1360, 4057, 9422, 5079, 543, 2597, 2744, 9789, 23487, 539, 968, 325, 3306, 2006, 476, 1428, 3034, 2252, 519, 1942, 540, 24875, 2882, 1569, 547, 513, 13464, 8516, 4099, 267, 1491, 5413, 540, 621, 547, 1205, 2834, 3635, 269, 1403, 602, 779, 711, 606, 4781, 267, 2015, 11836, 606, 703, 1090, 1116, 5026, 2319, 610, 3274, 6972, 267, 28185, 3101, 267, 610, 31610, 1472, 13464, 269, 26361, 782, 267, 621, 779, 1271, 547, 1694, 1524, 543, 4786, 856, 513, 2635, 4189, 1544, 1142, 3018, 543, 1287, 6006, 707, 18959, 21067, 609, 14312, 7594, 543, 15165, 3681, 865, 596, 1810, 1406, 723, 547, 7048, 593, 13418, 3536, 267, 799, 4043, 547, 581, 1164, 538, 4006, 267, 15459, 3170, 267, 543, 9770, 563, 763, 3656, 6704, 2085, 538, 519, 1533, 540, 11882, 568, 476, 2641, 269, 16480, 267, 1082, 1164, 1153, 543, 2852, 1053, 630, 663, 267, 911, 326, 1227, 267, 513, 3395, 1297, 540, 1053, 1869, 538, 10026, 1153, 264, 3442, 547, 4235, 4568, 1354, 789, 3914, 3656, 2085, 269, 898, 779, 1271, 547, 13599, 1053, 827, 519, 1761, 1072, 4220, 540, 4568, 946, 563, 1103, 519, 2110, 2165, 267, 4568, 4616, 5540, 5114, 942, 267, 10385, 267, 3666, 267, 543, 3965, 267, 799, 28148, 5540, 4081, 543, 18942, 2773, 267, 4679, 519, 1981, 540, 9525, 538, 513, 5179, 6174, 8009, 267, 543, 4679, 519, 10171, 540, 1818, 824, 14432, 6197, 3664, 267, 971, 607, 2502, 538, 796, 31695, 3023, 269, 7043, 3856, 4568, 946, 4679, 519, 1981, 540, 1418, 3441, 267, 2634, 4713, 267, 543, 513, 2647, 2039, 540, 5312, 3676, 267, 1519, 1978, 11871, 269, 15850, 946, 849, 7679, 31013, 609, 3207, 3270, 543, 666, 1291, 547, 2597, 2744, 269, 5047, 267, 6704, 4568, 12662, 519, 1367, 693, 1981, 540, 3384, 606, 8213, 269, 634, 1655, 5796, 585, 1053, 609, 2463, 547, 4568, 946, 568, 547, 2057, 621, 15587, 563, 10673, 1406, 11716, 2566, 454, 2005, 779, 9985, 3339, 585, 513, 2875, 547, 1995, 2566, 543, 4160, 693, 519, 1376, 540, 513, 1007, 1032, 267, 2523, 952, 646, 610, 1352, 568, 4657, 3506, 1765, 1721, 1383, 267, 1818, 519, 5912, 689, 1164, 1153, 547, 2852, 269, 1717, 267, 2566, 610, 4160, 602, 26251, 1134, 3564, 519, 27139, 1974, 568, 711, 3339, 543, 949, 24901, 513, 811, 3978, 1966, 269, 19382, 15860, 267, 621, 666, 3169, 513, 5230, 17167, 593, 519, 2875, 779, 2168, 543, 3929, 1072, 269, 769, 4049, 2665, 267, 2566, 666, 1291, 547, 4965, 610, 1256, 11980, 563, 2252, 596, 7747, 2589, 540, 2566, 610, 4160, 538, 707, 1126, 1310, 519, 1101, 1906, 4374, 540, 1153, 267, 1810, 1406, 11716, 621, 269, 9181, 1018, 779, 2469, 593, 538, 1153, 543, 875, 519, 1007, 3510, 568, 1818, 1864, 610, 1200, 1745, 269, 3414, 6643, 267, 596, 949, 1451, 602, 972, 779, 606, 5817, 1966, 267, 971, 607, 11648, 269, 1403, 596, 666, 1406, 8207, 519, 1966, 998, 2792, 267, 596, 1058, 2232, 621, 609, 707, 1126, 779, 12963, 1014, 563, 763, 3390, 540, 2566, 666, 581, 811, 7294, 585, 2852, 1053, 945, 616, 6569, 689, 741, 3339, 1920, 1489, 1062, 269, 5441, 1053, 945, 1995, 796, 637, 9407, 2566, 949, 1616, 547, 1491, 5413, 540, 593, 2275, 25283, 13508, 2533, 547, 2061, 519, 1966, 689, 3303, 2718, 856, 540, 1852, 269, 414, 507, 355, 0, 1607, 1957, 6257, 513, 2527, 1947, 6252, 1239, 32704, 2780, 6131, 547, 1483, 6066, 3239, 4393, 269, 901, 2780, 799, 2377 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4415, 519, 13249, 17382, 18394, 602, 723, 7018, 2066, 29517, 267, 6237, 15117, 267, 3162, 5245, 267, 24368, 543, 5375, 5245, 267, 2950, 723, 2097, 1927, 547, 948, 2831, 602, 723, 1044, 4299, 1282, 713, 942, 563, 310, 310, 293, 267, 2622, 13812, 7690, 267, 814, 4080, 602, 972, 723, 1044, 1472, 476, 272, 269, 1839, 5479, 2831, 7166, 2066, 5245, 547, 4266, 269, 901, 2882, 1082, 11599, 2831, 971, 607, 32748, 531, 553, 267, 737, 836, 16619, 657, 267, 3774, 28320, 267, 737, 809, 629, 584, 6652, 267, 15483, 6737, 657, 543, 9932, 324, 11596, 267, 29285, 972, 616, 1869, 1082, 2831, 13676, 543, 15602, 563, 4002, 13628, 267, 476, 1626, 5130, 267, 13538, 3357, 689, 2066, 24332, 547, 948, 24946, 741, 942, 547, 1118, 533, 537, 2583, 585, 7320, 543, 10627, 12109, 1186, 269, 4322, 533, 537, 2583, 543, 10627, 12109, 1186, 948, 538, 24317, 2831, 543, 957, 607, 2922, 1747, 585, 2831, 547, 9156, 543, 12115, 689, 741, 7063, 269, 1284, 1185, 936, 476, 2412, 1004, 7390, 519, 2680, 543, 1082, 811, 24946, 2326, 269, 21816, 32580, 5280, 676, 5969, 267, 22927, 543, 4687, 513, 14902, 609, 1142, 824, 269, 1703, 729, 606, 27614, 540, 24603, 5958, 543, 824, 29586, 3688, 547, 948, 609, 519, 2014, 269, 15526, 779, 2182, 960, 593, 519, 1554, 8507, 538, 936, 476, 4037, 10627, 12109, 1186, 4712, 547, 979, 267, 476, 2004, 1804, 533, 537, 2583, 547, 979, 543, 609, 811, 982, 476, 4968, 3688, 2759, 547, 581, 694, 1233, 269, 589, 9735, 4674, 676, 3025, 2336, 4322, 3688, 616, 1631, 593, 741, 1259, 547, 2468, 720, 512, 757, 538, 717, 2089, 338, 1633, 547, 948, 609, 519, 6051, 540, 938, 5065, 2831, 269, 1280, 4896, 5461, 538, 4543, 267, 3478, 3270, 610, 811, 1344, 6749, 883, 774, 558, 770, 1144, 7732, 779, 7956, 850, 543, 14958, 631, 5474, 10628, 269, 0, 2419, 1734, 616, 596, 616, 1360, 538, 19820, 609, 1072, 540, 707, 4064, 952, 596, 616, 513, 2834, 3346, 649, 13145, 267, 2523, 2094, 596, 723, 547, 1205, 909, 2673, 543, 2123, 609, 873, 1142, 1554, 607, 596, 2322, 538, 707, 14485, 269, 901, 568, 1946, 513, 2013, 540, 31792, 26628, 267, 4122, 1572, 11909, 3750, 267, 666, 12235, 513, 530, 3402, 538, 707, 3339, 3750, 1416, 6296, 269, 634, 1739, 3391, 666, 948, 3346, 7828, 649, 13145, 781, 9156, 689, 11909, 3750, 3533, 563, 1432, 568, 11909, 3750, 888, 303, 1074, 3750, 610, 31792, 26628, 568, 513, 6952, 22433, 2165, 585, 513, 9190, 610, 10194, 3750, 3968, 269, 769, 1034, 2665, 519, 3968, 1579, 1513, 909, 593, 922, 1378, 538, 513, 1906, 2395, 269, 12580, 1331, 1973, 3333, 582, 4064, 267, 11926, 610, 25017, 1472, 519, 4064, 267, 543, 11166, 689, 519, 3750, 269, 898, 568, 3810, 21380, 1282, 519, 3968, 267, 610, 11909, 267, 5123, 267, 799, 1797, 621, 666, 3362, 581, 3262, 689, 835, 3750, 547, 519, 824, 610, 547, 2576, 3116, 563, 3674, 6646, 2556, 888, 1607, 568, 909, 547, 707, 3750, 4387, 610, 3119, 1416, 10629, 269, 25968, 3750, 2356, 1579, 1513, 909, 1369, 513, 1906, 2395, 593, 922, 1378, 269, 1280, 4049, 5563, 267, 707, 4387, 949, 21559, 3750, 12772, 547, 948, 865, 1054, 707, 4064, 269, 25095, 8438, 12772, 949, 581, 11311, 952, 621, 568, 9190, 31792, 26628, 267, 855, 789, 4465, 1405, 948, 585, 10194, 8677, 563, 4692, 596, 3136, 547, 5957, 17066, 888, 2791, 1058, 711, 5957, 707, 17066, 1247, 7092, 689, 11909, 3750, 269, 29110, 4221, 519, 3750, 666, 2417, 3262, 519, 3968, 610, 2014, 811, 16698, 269, 4329, 267, 5135, 3085, 1405, 3914, 519, 3750, 607, 11593, 998, 17066, 267, 799, 666, 3500, 7067, 543, 6051, 689, 519, 3968, 543, 16698, 563, 12663, 519, 3346, 581, 8297, 1441, 888, 2252, 596, 941, 9849, 25551, 17066, 621, 781, 513, 1434, 2856, 547, 19184, 519, 2063, 6292, 596, 941, 9849, 543, 1376, 609, 513, 1007, 6292, 2899, 519, 3968, 814, 23498, 909, 269, 1403, 596, 946, 1279, 2165, 5957, 17066, 267, 3346, 707, 3750, 4387, 585, 1697, 24846, 1944, 8846, 269, 13575, 267, 1210, 513, 2620, 24846, 1944, 2126, 267, 2139, 936, 519, 4831, 689, 1022, 3075, 4558, 267, 786, 581, 6190, 269, 5269, 2386, 596, 2973, 519, 3346, 7828, 2013, 607, 1134, 607, 519, 14485, 563, 6701, 972, 1022, 2409, 547, 3432, 7067, 888, 763, 14724, 1259, 547, 14867, 519, 16698, 568, 609, 513, 3636, 14771, 1107, 3274, 6632, 513, 11547, 743, 1054, 538, 3636, 1216, 267, 530, 2590, 621, 856, 267, 543, 1287, 2482, 621, 936, 519, 3750, 547, 948, 2721, 856, 519, 3968, 269, 1411, 666, 798, 713, 1896, 2053, 513, 1554, 563, 303, 1074, 3750, 568, 1100, 1187, 269, 3502, 1152, 786, 596, 581, 538, 14296, 585, 513, 1906, 2395, 267, 596, 786, 849, 991, 547, 19184, 707, 3750, 1118, 5346, 543, 7654, 707, 17066, 269, 11910, 707, 3750, 4387, 267, 899, 1346, 693, 23203, 29431, 1168, 792, 267, 952, 596, 723, 2417, 2055, 269, 0, 5472, 580, 1807, 572, 9349, 910, 476, 1001, 276, 454, 4415, 5432, 2262, 3270, 267, 2110, 5220, 267, 543, 2407, 1606, 7331, 14745, 10276, 327, 2331, 11147, 267, 4098, 3988, 616, 5189, 547, 519, 1977, 32613, 1807, 269, 5753, 4358, 547, 1174, 875, 5022, 543, 4992, 979, 1927, 786, 1628, 6015, 607, 789, 5431, 7368, 1913, 543, 1451, 1007, 1913, 269, 6435, 995, 10297, 593, 11147, 1683, 3308, 10291, 585, 1007, 6863, 563, 21812, 281, 3687, 928, 24550, 267, 30400, 2433, 18903, 654, 6782, 267, 513, 6498, 540, 9474, 23077, 267, 3097, 23322, 2524, 281, 476, 272, 2228, 4199, 269, 0, 8170, 32425, 543, 21118, 1006, 454, 1607, 3184, 7710, 875, 31550, 645, 4637, 2968, 835, 540, 519, 1034, 554, 730, 9845, 538, 13836, 1686, 269, 898, 15244, 519, 11655, 685, 733, 3319, 585, 645, 4637, 1282, 1010, 1101, 1296, 538, 13836, 538, 476, 2735, 276, 267, 607, 789, 3893, 519, 12705, 602, 646, 729, 15483, 344, 267, 15663, 602, 646, 10355, 17019, 1010, 2319, 10863, 543, 646, 729, 13047, 827, 1010, 15421, 269, 898, 6941, 602, 645, 4637, 685, 10639, 20034, 5471, 539, 950, 646, 2968, 3238, 609, 519, 2773, 10276, 327, 3496, 5061, 29317, 602, 12735, 4240, 11683, 13477, 28473, 269, 898, 8591, 602, 1010, 10639, 1705, 711, 9156, 1256, 1310, 25588, 519, 782, 6066, 2594, 585, 2348, 519, 1034, 1753, 8255, 538, 13836, 538, 476, 1220, 278, 267, 607, 1010, 2319, 267, 5842, 12770, 16902, 1218, 267, 1705, 711, 5710, 1010, 4579, 1256, 1310, 8236, 971, 513, 9028, 563, 21292, 281, 13836, 267, 10639, 267, 2773, 10276, 327, 3496, 5061, 267, 31550, 645, 4637, 267, 5842, 12770, 16902, 1218, 0, 1607, 3184, 5956, 609, 606, 4367, 547, 519, 3627, 8725, 1920, 281, 13473, 267, 2797, 267, 9543, 2006, 6705, 945, 3710, 519, 4583, 15917, 525, 7233, 566, 538, 3798, 550, 517, 267, 3345, 10491, 269, 12312, 6276, 3627, 8725, 7722, 519, 2533, 540, 5261, 17880, 11169, 607, 513, 968, 2889, 32216, 892, 4056, 269, 634, 2278, 6941, 875, 17880, 11169, 27372, 883, 513, 3318, 4056, 267, 3001, 3564, 1210, 15790, 10938, 4123, 2835, 547, 6220, 2093, 11609, 538, 519, 1271, 6189, 2835, 540, 1010, 5736, 267, 4481, 634, 4165, 1172, 885, 540, 18603, 676, 26573, 543, 32672, 1777, 630, 12293, 280, 1040, 634, 7506, 540, 713, 1433, 267, 543, 1082, 811, 267, 616, 5941, 538, 1469, 689, 4055, 547, 4055, 267, 607, 616, 11265, 3877, 1519, 12945, 2527, 532, 267, 14328, 29444, 267, 3935, 333, 1228, 28339, 267, 8970, 1182, 267, 9486, 267, 9587, 267, 1795, 3547, 267, 2823, 545, 657, 267, 519, 2616, 2218, 267, 543, 519, 1517, 1386, 699, 269, 1879, 6192, 267, 519, 16025, 1922, 1090, 539, 15917, 525, 729, 513, 598, 6921, 558, 3130, 540, 8549, 267, 5259, 267, 623, 718, 6598, 267, 3703, 267, 543, 1977, 7506, 269, 898, 729, 513, 759, 15929, 1967, 585, 17880, 11169, 543, 1131, 1831, 519, 30675, 1305, 614, 585, 519, 5259, 4860, 2526, 3350, 538, 519, 8828, 1394, 12248, 787, 930, 8938, 1296, 2663, 269, 634, 1967, 540, 15917, 525, 3361, 17880, 11169, 779, 10639, 547, 1332, 269, 17652, 1310, 922, 12032, 538, 476, 8687, 279, 267, 646, 729, 6035, 543, 7608, 519, 2990, 540, 1533, 4056, 585, 3345, 10491, 269, 1261, 4166, 6410, 547, 674, 599, 8291, 6807, 267, 693, 602, 942, 519, 4102, 2749, 538, 519, 1533, 563, 21292, 281, 6276, 3627, 8725, 267, 3798, 550, 517, 267, 3345, 10491, 267, 932, 578, 534, 6019, 267, 3345, 10491, 267, 19186, 655, 541, 548, 14675, 0, 21595, 32347, 267, 661, 4958, 345, 268, 29994, 267, 5840, 267, 6833, 571, 13244, 267, 634, 10513, 8092, 267, 5845, 626, 1149, 1765, 718, 1346, 4408, 723, 1044, 2016, 547, 513, 12701, 540, 2244, 13883, 593, 519, 9456, 13272, 540, 519, 11335, 7256, 269, 901, 729, 267, 543, 1869, 568, 267, 835, 540, 519, 1034, 1271, 4773, 540, 2244, 267, 799, 519, 1158, 814, 1044, 7231, 609, 1282, 519, 2063, 1079, 8536, 1296, 269, 634, 6259, 268, 29994, 328, 4655, 267, 799, 814, 2196, 585, 519, 2063, 4627, 1296, 267, 568, 855, 519, 2063, 538, 513, 3126, 540, 1279, 9620, 267, 799, 27774, 519, 1686, 540, 602, 1858, 269, 2290, 540, 519, 1292, 2152, 568, 519, 1642, 574, 2787, 540, 21157, 267, 513, 1184, 602, 3459, 827, 476, 1911, 1296, 3516, 855, 568, 2484, 689, 2347, 269, 4197, 713, 1184, 568, 519, 2832, 540, 713, 1557, 267, 799, 786, 1459, 606, 3140, 2689, 543, 606, 10763, 2070, 7282, 519, 11051, 3238, 538, 519, 1184, 543, 606, 7650, 7231, 609, 519, 1614, 21971, 540, 10465, 1818, 540, 5840, 269, 0, 5575, 17603, 262, 5714, 640, 609, 9236, 2338, 568, 606, 1271, 2679, 3625, 585, 519, 2362, 7400, 2979, 2035, 547, 2097, 538, 519, 2663, 9344, 269, 1411, 666, 2285, 1101, 17603, 513, 1850, 909, 609, 713, 3992, 267, 10023, 11461, 6044, 543, 2259, 2042, 538, 9236, 2338, 269, 4495, 3214, 1205, 998, 713, 3992, 267, 596, 666, 4647, 543, 1820, 519, 6700, 9236, 2338, 3211, 538, 1931, 547, 1683, 1256, 811, 1727, 8527, 684, 885, 585, 2259, 563, 1607, 1032, 267, 1101, 17603, 786, 581, 5189, 547, 1747, 1871, 543, 938, 3490, 476, 1015, 1297, 1062, 267, 2356, 676, 4358, 609, 476, 273, 18251, 2338, 630, 1911, 610, 1447, 1040, 901, 11461, 3992, 2337, 6338, 1747, 1871, 547, 1101, 17603, 998, 6044, 543, 1806, 6098, 547, 713, 5578, 269, 1403, 707, 1126, 26088, 519, 3992, 543, 2115, 811, 2259, 609, 1747, 1871, 267, 4647, 543, 1820, 519, 18913, 3211, 6700, 676, 938, 6437, 2319, 563, 13981, 1614, 18251, 2338, 666, 581, 513, 4101, 851, 540, 519, 2979, 6437, 585, 1082, 2034, 17603, 269, 901, 3992, 2337, 547, 1489, 2034, 17603, 262, 1620, 540, 3677, 2338, 676, 3450, 873, 1747, 1871, 269, 8866, 786, 5635, 1614, 18251, 2338, 543, 1451, 547, 1293, 909, 547, 476, 1911, 271, 609, 11461, 6044, 269, 1879, 519, 3992, 568, 8737, 267, 2015, 8228, 856, 519, 7222, 3211, 5227, 676, 938, 6437, 9858, 563, 1103, 713, 4367, 547, 2338, 476, 271, 268, 736, 267, 3214, 2259, 1018, 789, 4312, 2907, 4121, 827, 519, 2338, 476, 271, 268, 1015, 543, 1628, 1007, 1983, 538, 10203, 476, 1556, 268, 736, 269, 3502, 1152, 786, 23021, 2259, 9301, 891, 27766, 267, 855, 789, 786, 849, 581, 2016, 887, 974, 1293, 547, 476, 736, 5751, 547, 12927, 1983, 269, 10088, 2286, 2338, 538, 513, 21934, 1245, 539, 1259, 971, 607, 713, 2337, 1628, 2979, 21711, 543, 25242, 6015, 563, 5575, 3446, 22697, 786, 581, 2324, 713, 1032, 593, 1297, 2631, 538, 1931, 547, 2087, 741, 1620, 540, 519, 2078, 1063, 2338, 543, 741, 2702, 547, 798, 2790, 2979, 269, 901, 11461, 3992, 786, 948, 7794, 713, 1271, 5578, 609, 6098, 6044, 543, 7899, 540, 1483, 8996, 2259, 2042, 269, 4495, 519, 3992, 568, 8737, 267, 596, 666, 8831, 1565, 609, 519, 6700, 1297, 2631, 3211, 563, 31535, 875, 547, 1628, 2338, 568, 606, 1271, 3992, 585, 9656, 619, 1175, 3478, 741, 3952, 6632, 609, 10203, 543, 2338, 269, 1452, 11461, 5751, 666, 2285, 3214, 513, 4514, 1620, 540, 1297, 2631, 267, 10230, 1931, 267, 543, 2418, 269, 15206, 619, 786, 2253, 547, 12314, 2418, 609, 2338, 543, 10146, 519, 2035, 540, 3152, 982, 543, 1447, 982, 267, 2679, 2390, 1983, 789, 786, 991, 538, 519, 2663, 9344, 269, 0, 763, 2136, 8003, 6592, 513, 6554, 20907, 17211, 3160, 547, 476, 272, 269, 3445, 2600, 540, 519, 2197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 909, 269, 14451, 1973, 2604, 568, 2404, 609, 2295, 2068, 269, 4475, 267, 789, 10924, 621, 2799, 1981, 540, 2295, 2068, 269, 1325, 553, 267, 621, 779, 4440, 1454, 811, 7294, 269, 4935, 267, 950, 789, 2965, 1413, 693, 1382, 602, 13290, 547, 2047, 2268, 602, 9756, 267, 676, 3168, 693, 875, 1454, 6070, 1004, 8532, 543, 875, 1419, 789, 723, 2295, 2068, 267, 789, 1810, 1406, 2141, 1265, 519, 9756, 269, 1520, 4784, 569, 267, 972, 616, 12755, 609, 713, 1826, 540, 1382, 267, 2094, 891, 2090, 616, 22423, 2090, 269, 1358, 1175, 7747, 1018, 1004, 798, 543, 1018, 4523, 547, 873, 269, 1924, 267, 972, 779, 1100, 8060, 610, 4351, 1436, 269, 901, 1797, 596, 2461, 1930, 547, 519, 7872, 540, 782, 2010, 540, 1476, 15929, 2188, 630, 3697, 267, 585, 1383, 267, 602, 1004, 945, 3548, 6266, 540, 9770, 267, 1522, 849, 22655, 6266, 540, 14432, 1426, 543, 711, 581, 1768, 1026, 569, 3742, 1070, 799, 596, 723, 547, 2272, 585, 269, 3502, 782, 519, 1382, 8813, 883, 891, 1079, 6688, 267, 855, 602, 19306, 1034, 540, 621, 563, 12179, 1811, 267, 519, 8753, 540, 519, 1867, 616, 281, 513, 994, 1492, 12233, 1336, 1100, 5812, 2963, 547, 1489, 606, 7681, 454, 24992, 9770, 6981, 543, 2901, 513, 6225, 610, 8801, 1198, 593, 454, 8234, 4093, 824, 982, 595, 13748, 1496, 25205, 26210, 8376, 316, 4093, 454, 263, 10175, 8482, 543, 595, 13748, 9019, 264, 543, 782, 2275, 1021, 9019, 563, 1492, 12649, 2963, 593, 12205, 1063, 9770, 6981, 543, 1463, 454, 8234, 4093, 2560, 6920, 513, 2318, 2078, 1063, 2362, 454, 548, 12069, 540, 9770, 6981, 543, 1981, 540, 595, 13748, 269, 901, 2963, 568, 5812, 454, 5976, 4540, 2963, 593, 1973, 2604, 607, 513, 1147, 5766, 622, 13525, 540, 454, 763, 12233, 5462, 602, 2963, 689, 2090, 593, 1463, 1072, 454, 719, 3699, 568, 22522, 543, 13385, 547, 9959, 602, 16715, 454, 338, 18754, 703, 1389, 2630, 476, 273, 267, 4968, 8406, 829, 1554, 2901, 4679, 610, 11081, 454, 14490, 540, 595, 13748, 4093, 630, 10175, 8482, 543, 595, 13748, 9019, 264, 610, 782, 2275, 1021, 454, 332, 677, 1275, 538, 519, 2489, 772, 2529, 269, 2551, 269, 0, 763, 20342, 12444, 1944, 9125, 320, 267, 610, 774, 320, 636, 1105, 2801, 7974, 267, 616, 10838, 519, 1034, 10731, 7286, 14471, 269, 8616, 267, 649, 616, 1869, 12423, 799, 2188, 1450, 873, 547, 8853, 538, 519, 5836, 269, 589, 1382, 2319, 689, 519, 7665, 23851, 4659, 585, 13149, 31814, 538, 6601, 5443, 543, 519, 2160, 540, 21499, 729, 1631, 2111, 547, 1397, 602, 7286, 774, 320, 636, 1105, 2801, 7974, 723, 513, 6626, 10307, 982, 5892, 2219, 269, 634, 2164, 616, 3370, 538, 519, 4760, 7186, 31814, 563, 3528, 9256, 5836, 3631, 267, 3662, 10307, 543, 8093, 5638, 267, 3173, 1397, 602, 519, 18983, 1014, 2527, 14486, 538, 519, 12084, 729, 3361, 676, 2518, 8337, 602, 2451, 2831, 8572, 547, 13236, 269, 1306, 5210, 9782, 543, 519, 10307, 540, 7286, 2831, 838, 539, 909, 267, 519, 15911, 7297, 1223, 711, 3180, 2614, 5135, 585, 741, 6668, 563, 306, 16577, 13621, 2066, 23529, 781, 13304, 6253, 1157, 4672, 6656, 3459, 2810, 538, 519, 4571, 268, 866, 628, 2540, 543, 1287, 19856, 539, 909, 13497, 1282, 519, 476, 736, 628, 543, 2038, 476, 2641, 560, 5553, 267, 6029, 1100, 4191, 540, 705, 908, 267, 2687, 547, 1007, 1382, 3370, 5463, 269, 476, 276, 267, 476, 1001, 279, 267, 538, 519, 4760, 7186, 269, 634, 1353, 2488, 1007, 2963, 540, 519, 5222, 540, 2916, 1689, 593, 11848, 13621, 543, 2518, 4262, 1377, 4473, 563, 6124, 1382, 2982, 602, 1660, 17632, 11593, 1491, 538, 2890, 27415, 5533, 11103, 689, 519, 5836, 855, 3533, 23574, 1034, 540, 873, 856, 1586, 267, 2687, 547, 513, 1353, 676, 3173, 689, 8262, 601, 578, 12524, 585, 7909, 7070, 563, 288, 1007, 1353, 676, 15406, 2752, 296, 3744, 2982, 602, 20512, 540, 29855, 11935, 4163, 1804, 5666, 540, 3327, 547, 519, 2620, 13837, 331, 3233, 267, 855, 616, 14605, 6719, 538, 2518, 2916, 3631, 563, 8139, 875, 519, 5836, 1568, 568, 899, 8380, 1927, 513, 2929, 1790, 19991, 11015, 269, 1703, 616, 1082, 2055, 282, 4466, 4267, 3217, 942, 267, 2200, 267, 543, 4316, 269, 1809, 1256, 950, 3744, 3494, 789, 917, 875, 519, 4773, 3514, 1927, 267, 1007, 1702, 666, 1689, 519, 3337, 540, 519, 11015, 269, 589, 1957, 5063, 3370, 676, 3220, 269, 11518, 9445, 26689, 2224, 540, 519, 667, 879, 874, 514, 6816, 7256, 6997, 543, 519, 2160, 540, 3162, 17665, 8591, 1776, 4062, 547, 519, 11015, 538, 1620, 519, 1764, 540, 1019, 520, 1682, 593, 519, 11848, 11354, 25204, 563, 763, 4806, 540, 19514, 4262, 1377, 4473, 936, 519, 2063, 10116, 2540, 814, 1044, 9141, 538, 851, 676, 1480, 27351, 4310, 2916, 1689, 267, 711, 1175, 2067, 13260, 267, 2687, 547, 513, 1007, 1353, 563, 288, 1007, 1353, 5473, 17857, 3557, 2160, 3173, 8761, 602, 1216, 4859, 23229, 538, 2518, 2244, 6674, 539, 30520, 814, 24395, 730, 2199, 1216, 2566, 543, 3361, 1761, 4262, 1377, 4473, 563, 288, 1007, 4457, 1788, 630, 1001, 279, 734, 1708, 273, 264, 786, 2263, 519, 2959, 543, 3560, 540, 31127, 2139, 3171, 538, 519, 1164, 5991, 22021, 543, 1970, 7302, 3271, 19780, 630, 295, 301, 9448, 264, 4525, 269, 634, 2164, 666, 2285, 3621, 5796, 547, 8639, 593, 519, 23250, 540, 10647, 5836, 3171, 22289, 563, 1805, 534, 5112, 3173, 3576, 513, 5691, 4641, 1995, 883, 513, 3099, 540, 3872, 5468, 267, 1519, 1164, 1153, 13460, 267, 547, 1449, 519, 1764, 593, 4656, 543, 1620, 540, 5836, 3679, 2305, 269, 0, 302, 577, 668, 517, 553, 24094, 269, 12490, 16671, 6573, 16928, 274, 543, 645, 294, 268, 272, 616, 943, 698, 582, 13116, 32443, 1729, 4148, 698, 749, 919, 609, 1114, 9422, 2994, 269, 853, 1778, 16671, 6573, 16928, 274, 568, 606, 8078, 622, 2584, 582, 5268, 1247, 8833, 645, 294, 268, 272, 11593, 9428, 538, 6024, 14334, 538, 519, 4527, 540, 9190, 10352, 269, 12618, 543, 5444, 4082, 540, 8833, 16671, 6573, 16928, 274, 941, 11567, 896, 2175, 3850, 943, 698, 582, 13116, 267, 3575, 582, 13116, 267, 610, 2584, 582, 13116, 6484, 269, 634, 8244, 540, 1769, 543, 9190, 10352, 3366, 547, 519, 11186, 4082, 540, 476, 5655, 260, 610, 476, 3393, 1700, 6795, 260, 540, 782, 6090, 267, 6606, 269, 4578, 689, 8833, 16671, 6573, 16928, 274, 941, 3379, 547, 1346, 689, 513, 1353, 5342, 5892, 593, 8833, 645, 294, 268, 272, 267, 543, 7000, 8037, 3604, 538, 3327, 543, 9436, 10307, 1063, 519, 476, 273, 21165, 619, 896, 2147, 2825, 2175, 269, 853, 1778, 645, 294, 268, 272, 8246, 9190, 3327, 543, 11254, 7408, 998, 28340, 1736, 543, 519, 28886, 541, 7901, 344, 997, 3679, 4783, 267, 1247, 1524, 2958, 6819, 1769, 16276, 543, 3327, 30651, 538, 519, 27869, 4783, 950, 1312, 1769, 543, 4551, 941, 2139, 269, 769, 4334, 267, 519, 909, 28832, 540, 6090, 1644, 547, 15591, 267, 1769, 16276, 267, 28060, 10282, 267, 543, 3327, 30651, 538, 519, 4527, 540, 1769, 543, 10352, 585, 8833, 16671, 6573, 16928, 274, 22466, 602, 713, 2249, 568, 811, 2584, 582, 13116, 982, 8833, 645, 294, 268, 272, 267, 543, 602, 943, 698, 582, 15577, 949, 723, 8476, 2584, 582, 15577, 269, 8426, 983, 28060, 513, 1543, 729, 849, 3648, 2362, 538, 8833, 16671, 6573, 16928, 274, 13859, 609, 4551, 3379, 547, 1346, 1510, 10352, 269, 3776, 2164, 3976, 1448, 547, 1360, 1114, 12214, 2994, 585, 3575, 582, 13116, 6484, 538, 891, 5702, 1644, 669, 24075, 4451, 974, 2249, 563, 290, 2787, 281, 17389, 589, 17751, 267, 20568, 2098, 267, 6833, 2784, 334, 681, 267, 570, 520, 1562, 589, 302, 267, 1261, 14988, 6199, 22995, 267, 2961, 517, 21096, 630, 1001, 279, 264, 589, 9661, 540, 1079, 3575, 582, 13116, 669, 24075, 4451, 5052, 281, 29362, 883, 519, 8311, 3359, 540, 1079, 744, 577, 668, 517, 553, 2249, 630, 2419, 24075, 4451, 576, 2801, 264, 998, 513, 6476, 540, 5444, 4082, 269, 12813, 24382, 21450, 476, 1724, 263, 273, 2567, 552, 25171, 25838, 280, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 25171, 25838, 280, 454, 29394, 281, 17713, 717, 269, 12456, 267, 2160, 540, 21086, 267, 6167, 3951, 3633, 29865, 2464, 454, 3725, 18727, 281, 5239, 476, 277, 267, 476, 1001, 278, 282, 20504, 539, 281, 5130, 476, 272, 267, 476, 1001, 279, 282, 15618, 281, 5988, 476, 1724, 267, 476, 1001, 279, 454, 15648, 281, 9736, 476, 1001, 279, 17389, 1696, 620, 269, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 10574, 2997, 22355, 281, 1306, 5145, 1194, 9696, 585, 744, 577, 668, 517, 553, 838, 269, 8833, 476, 16928, 274, 941, 20024, 538, 519, 12135, 10292, 25627, 3367, 25201, 896, 1569, 542, 1297, 590, 14641, 12893, 280, 5325, 563, 293, 27448, 281, 901, 1382, 729, 14102, 676, 519, 23583, 543, 5975, 1399, 18703, 7690, 998, 16827, 717, 13696, 293, 31696, 280, 547, 667, 3722, 543, 22995, 295, 269, 634, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 563, 4467, 7065, 532, 4690, 281, 634, 4589, 723, 10294, 602, 1100, 12721, 4690, 2291, 563, 300, 1460, 582, 13116, 1486, 1235, 616, 2582, 16052, 539, 24087, 4925, 5827, 540, 16565, 3327, 267, 5567, 610, 1648, 3842, 811, 982, 835, 512, 13116, 7154, 269, 1452, 7103, 12732, 2789, 18105, 320, 543, 616, 4122, 1336, 538, 513, 3376, 5044, 540, 5054, 1547, 4256, 9860, 267, 543, 1256, 17282, 538, 1978, 2950, 267, 1118, 873, 1713, 5716, 538, 519, 2095, 540, 1648, 543, 5567, 267, 543, 5051, 811, 2090, 17938, 677, 519, 2956, 540, 1519, 3575, 582, 15577, 538, 6915, 613, 12950, 3631, 543, 5117, 2090, 1496, 273, 1700, 275, 14073, 763, 9422, 2994, 540, 3575, 582, 13116, 630, 874, 698, 582, 13116, 264, 32443, 1729, 4148, 698, 749, 919, 8858, 1390, 3099, 267, 609, 513, 8552, 540, 3575, 582, 13116, 6484, 8151, 689, 5176, 6986, 2584, 582, 15577, 547, 5176, 6986, 10636, 582, 15577, 1547, 1280, 1383, 267, 930, 13479, 949, 3824, 652, 10352, 547, 3489, 5672, 1258, 19153, 630, 324, 3052, 269, 9436, 610, 16903, 264, 610, 1898, 10250, 2208, 2188, 630, 324, 3052, 269, 4401, 610, 8324, 1070, 855, 7361, 946, 2584, 582, 15577, 547, 3132, 5214, 3327, 585, 2208, 269, 17957, 267, 15866, 10636, 582, 13116, 32443, 1729, 4148, 698, 749, 919, 949, 7048, 593, 15591, 1152, 585, 6668, 950, 519, 11606, 540, 10352, 568, 1970, 269, 634, 8244, 540, 2200, 630, 324, 3052, 269, 1769, 610, 10352, 264, 538, 519, 1604, 666, 1860, 799, 9422, 7154, 4433, 264, 568, 5340, 676, 3575, 582, 5268, 338, 267, 543, 971, 9422, 8112, 635, 27289, 938, 2702, 547, 5581, 741, 6198, 5107, 538, 2067, 2950, 269, 25947, 938, 1620, 540, 519, 9422, 2994, 543, 10307, 540, 3575, 582, 5268, 338, 786, 5512, 513, 1732, 25465, 540, 3575, 582, 15577, 883, 1426, 1357, 610, 6915, 613, 12950, 3631, 563, 302, 577, 668, 517, 553, 568, 513, 12593, 540, 3575, 582, 13116, 669, 24075, 4451, 5052, 9967, 540, 3436, 476, 1911, 4330, 2249, 602, 8858, 513, 3099, 540, 9422, 2994, 1547, 3509, 744, 577, 668, 517, 553, 2249, 267, 971, 607, 744, 577, 668, 517, 553, 15854, 3821, 267, 723, 1044, 1336, 547, 581, 15866, 943, 698, 582, 13116, 607, 789, 666, 1332, 538, 6024, 14334, 607, 1279, 607, 9190, 10352, 568, 2139, 630, 324, 3052, 269, 1496, 278, 1700, 280, 316, 1040, 1717, 267, 824, 744, 577, 668, 517, 553, 2249, 7048, 811, 593, 2584, 582, 15577, 267, 543, 930, 1256, 723, 606, 6207, 10421, 585, 1769, 1496, 1015, 1700, 1321, 4940, 1284, 5892, 5342, 606, 7634, 540, 519, 5444, 4082, 540, 513, 15195, 744, 577, 668, 517, 553, 838, 269, 630, 560, 1778, 645, 294, 268, 272, 264, 896, 2175, 602, 13251, 943, 698, 582, 13116, 630, 21671, 10352, 2139, 1070, 3575, 582, 13116, 630, 2775, 543, 10352, 2139, 1070, 543, 2584, 582, 13116, 630, 21671, 1769, 2139, 264, 9422, 12331, 1547, 901, 744, 577, 668, 517, 553, 2249, 568, 15866, 943, 698, 582, 13116, 2094, 922, 2208, 2557, 538, 6024, 14334, 609, 9190, 10352 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7367, 262, 1341, 268, 476, 7830, 4113, 476, 1428, 10807, 815, 5197, 1107, 476, 6434, 334, 476, 278, 262, 815, 476, 11011, 334, 476, 7871, 262, 3980, 368, 283, 595, 476, 11011, 4113, 476, 7871, 28847, 8993, 476, 277, 281, 476, 273, 269, 1677, 1205, 519, 5011, 536, 543, 524, 1210, 519, 20534, 4341, 2073, 1022, 1079, 540, 891, 4834, 666, 581, 1031, 3976, 281, 476, 274, 269, 11025, 5609, 263, 1839, 4113, 3393, 10807, 815, 536, 5609, 476, 1839, 4113, 476, 7367, 262, 815, 476, 274, 269, 11025, 7562, 263, 7830, 4113, 476, 1428, 10807, 3980, 368, 536, 815, 476, 274, 269, 11025, 5609, 263, 7830, 4113, 1428, 10807, 815, 476, 274, 269, 11025, 5609, 263, 7830, 269, 1839, 264, 5609, 476, 1839, 4113, 7367, 262, 5609, 263, 1839, 269, 9262, 264, 536, 5609, 263, 7830, 4113, 1428, 262, 3738, 513, 16429, 589, 815, 536, 5609, 645, 815, 524, 5609, 595, 692, 2791, 666, 946, 707, 9498, 610, 30233, 7515, 1934, 585, 2653, 9273, 269, 769, 519, 1383, 9273, 729, 1031, 269, 536, 815, 476, 274, 269, 23884, 4792, 273, 4037, 276, 476, 271, 269, 275, 3607, 20065, 278, 2641, 273, 1547, 8339, 536, 815, 476, 278, 269, 4037, 4699, 815, 476, 278, 269, 4037, 4699, 692, 1721, 524, 267, 1022, 540, 519, 1079, 4834, 666, 849, 581, 4294, 780, 301, 5495, 301, 692, 4200, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 320, 524, 5609, 589, 5609, 595, 476, 274, 269, 11025, 5609, 476, 1839, 269, 279, 3583, 524, 5609, 476, 11011, 281, 6434, 692, 284, 524, 5609, 476, 1839, 1547, 476, 9262, 4113, 815, 476, 274, 269, 11025, 5609, 11011, 281, 6434, 4113, 476, 274, 269, 11025, 5609, 476, 11011, 4113, 2433, 6434, 262, 815, 2525, 285, 5609, 476, 1839, 269, 9262, 476, 274, 269, 279, 1704, 280, 6246, 26764, 595, 815, 476, 271, 269, 275, 3607, 20065, 278, 2641, 273, 3980, 368, 595, 815, 476, 279, 269, 4037, 9492, 2999, 524, 815, 11011, 269, 6434, 4113, 267, 321, 284, 278, 269, 4037, 4699, 543, 524, 284, 279, 269, 4037, 9492, 780, 9616, 713, 2418, 616, 538, 6876, 609, 519, 2783, 602, 834, 24030, 518, 7285, 3068, 3152, 5011, 269, 630, 321, 264, 2999, 589, 815, 476, 12208, 4113, 476, 273, 262, 543, 513, 815, 476, 276, 269, 2537, 4699, 543, 536, 815, 476, 278, 269, 4792, 9492, 7747, 1934, 602, 519, 2427, 513, 815, 476, 276, 269, 2537, 6849, 5086, 589, 568, 4130, 982, 519, 2427, 536, 815, 476, 278, 269, 4792, 9492, 543, 621, 568, 711, 2009, 547, 723, 513, 6906, 609, 1079, 1073, 339, 2224, 7285, 267, 8754, 2427, 1058, 581, 3152, 982, 536, 543, 2094, 713, 568, 711, 519, 2013, 269, 634, 6906, 814, 581, 6587, 519, 3677, 5086, 630, 339, 787, 547, 4194, 713, 6906, 267, 1018, 1705, 596, 4767, 24047, 630, 322, 264, 2999, 290, 815, 476, 10219, 4113, 476, 6246, 4113, 267, 513, 815, 476, 275, 269, 273, 4699, 543, 524, 815, 476, 279, 269, 273, 9492, 780, 11405, 1703, 568, 513, 2009, 3070, 1934, 2094, 2999, 595, 799, 568, 3677, 814, 513, 2427, 524, 3152, 982, 2427, 513, 780, 8993, 269, 476, 277, 269, 274, 692, 301, 5495, 301, 692, 1911, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 8794, 519, 20534, 4341, 513, 5609, 589, 524, 5609, 595, 692, 663, 2655, 23082, 519, 2016, 513, 815, 476, 275, 269, 273, 9492, 543, 524, 815, 476, 279, 269, 273, 9492, 3947, 476, 275, 269, 273, 815, 5609, 589, 3980, 368, 476, 279, 269, 273, 5609, 476, 10219, 4113, 6246, 28847, 279, 269, 273, 5609, 288, 815, 476, 275, 269, 273, 7562, 476, 10219, 4113, 476, 6246, 28847, 306, 514, 589, 815, 476, 275, 269, 273, 7562, 561, 1839, 4113, 6246, 262, 815, 476, 275, 269, 273, 7562, 269, 7761, 476, 279, 269, 273, 476, 279, 269, 273, 16429, 288, 815, 476, 274, 269, 30156, 279, 4817, 5400, 280, 815, 476, 271, 269, 25870, 279, 2412, 279, 5038, 276, 476, 279, 269, 273, 3980, 368, 3980, 368, 3980, 368, 589, 815, 5609, 268, 262, 476, 271, 269, 476, 25870, 25851, 279, 5038, 276, 815, 476, 2190, 269, 6872, 4113, 2999, 645, 815, 476, 5197, 4113, 910, 630, 10219, 4113, 269, 476, 7761, 1341, 476, 2190, 269, 6872, 264, 815, 476, 5197, 910, 476, 5611, 269, 476, 7761, 815, 476, 3066, 269, 10170, 11019, 2999, 289, 815, 476, 3066, 269, 476, 10170, 547, 1205, 536, 269, 536, 524, 5609, 645, 5609, 595, 536, 5609, 476, 3066, 269, 10170, 476, 279, 269, 273, 5609, 10219, 271, 269, 7761, 692, 321, 5609, 476, 10219, 269, 7761, 815, 476, 279, 269, 273, 7562, 476, 3066, 269, 10170, 269, 536, 284, 536, 284, 476, 279, 269, 5609, 476, 3066, 269, 10170, 5609, 476, 10219, 269, 7761, 476, 275, 269, 271, 5038, 21916, 9692, 476, 271, 269, 279, 1556, 8064, 278, 279, 4029, 692, 321, 284, 476, 276, 269, 22650, 277, 4699, 815, 476, 276, 269, 24879, 9492, 1547, 8339, 2999, 288, 815, 476, 2190, 269, 476, 6872, 4113, 267, 2999, 289, 815, 476, 3066, 269, 10170, 267, 536, 815, 476, 276, 269, 24879, 9492, 476, 274, 269, 1321, 269, 5990, 2910, 306, 12114, 681, 308, 4041, 6145, 519, 20534, 4341, 267, 519, 6169, 540, 519, 25482, 4341, 799, 568, 606, 10137, 540, 519, 19456, 23768, 11532, 786, 581, 2016, 1934, 780, 301, 5495, 301, 692, 6200, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 320, 8431, 476, 277, 269, 274, 320, 780, 8993, 269, 476, 277, 269, 274, 12500, 269, 9717, 281, 667, 27398, 609, 519, 8912, 711, 725, 1294, 4453, 2433, 476, 277, 269, 274, 320, 269, 630, 659, 1393, 910, 2587, 1194, 264, 543, 476, 277, 269, 274, 321, 269, 630, 984, 339, 2224, 2587, 1194, 12730, 269, 22490, 547, 28171, 281, 524, 273, 815, 513, 273, 1341, 536, 273, 910, 476, 273, 320, 536, 5430, 595, 630, 6523, 710, 4341, 2020, 17746, 2315, 281, 8571, 513, 13902, 689, 589, 547, 645, 595, 630, 14808, 476, 277, 269, 274, 320, 264, 543, 689, 589, 547, 7460, 3812, 630, 14808, 476, 277, 269, 274, 321, 4700, 19577, 281, 538, 4453, 281, 277, 269, 274, 320, 538, 31221, 27398, 269, 536, 273, 815, 1535, 273, 1341, 586, 273, 630, 272, 264, 630, 303, 17233, 23768, 11532, 264, 538, 31221, 27398, 267, 524, 2420, 815, 630, 320, 910, 343, 264, 273, 1341, 586, 273, 267, 2421, 5187, 2305, 267, 524, 273, 910, 320, 273, 268, 273, 1314, 21147, 273, 1341, 344, 273, 855, 1535, 273, 1341, 586, 273, 815, 536, 273, 538, 2655, 23082, 524, 273, 815, 513, 273, 910, 476, 273, 1314, 1341, 536, 273, 769, 31221, 27398, 267, 5430, 595, 284, 1535, 11486, 18092, 536, 5430, 595, 815, 1535, 630, 272, 264, 630, 273, 2020, 301, 5495, 301, 692, 9083, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 810, 2655, 23082, 585, 1535, 538, 630, 273, 264, 3947, 524, 273, 815, 513, 273, 1341, 536, 273, 910, 476, 273, 629, 5430, 595, 1547, 8339, 595, 273, 910, 513, 273, 1341, 536, 273, 910, 476, 273, 629, 6523, 595, 19577, 281, 538, 4453, 476, 277, 269, 274, 321, 269, 630, 11917, 339, 2224, 2587, 1194, 6906, 264, 769, 31221, 4696, 290, 267, 536, 273, 815, 311, 273, 266, 586, 273, 630, 4512, 264, 630, 303, 17233, 23768, 11532, 24355, 1103, 31221, 5723, 291, 267, 595, 273, 815, 630, 320, 266, 1535, 264, 273, 1341, 586, 273, 27456, 17233, 23768, 11532, 4700, 22217, 4328, 3947, 267, 1809, 524, 273, 815, 513, 273, 1341, 476, 273, 1314, 1341, 312, 286, 1535, 273, 1341, 586, 273, 815, 536, 273, 630, 273, 264, 630, 272, 2020, 3383, 2655, 23082, 538, 630, 273, 264, 585, 536, 273, 3947, 692, 322, 273, 815, 513, 273, 1341, 321, 273, 1341, 476, 273, 1314, 692, 1103, 31221, 4696, 290, 267, 5430, 263, 5197, 910, 524, 264, 815, 1535, 11486, 2073, 855, 5430, 630, 296, 3199, 910, 595, 264, 4595, 2999, 595, 568, 1073, 339, 2224, 568, 910, 5430, 595, 4061, 282, 910, 6523, 595, 815, 1535, 11486, 815, 2525, 27784, 910, 321, 6523, 290, 815, 1535, 1924, 2655, 23082, 585, 519, 1871, 540, 1535, 538, 630, 273, 264, 2073, 596, 3489, 281, 595, 273, 815, 513, 273, 1341, 536, 273, 1341, 476, 273, 320, 630, 910, 536, 5430, 595, 264, 595, 273, 815, 513, 273, 1341, 536, 2420, 910, 476, 273, 629, 5430, 595, 269, 901, 568, 519, 1482, 1267, 607, 585, 519, 8650, 2587, 1194, 6906, 269, 1656, 713, 568, 519, 15328, 710, 14329, 281, 595, 273, 815, 513, 273, 1341, 536, 2420, 910, 476, 273, 629, 5430, 595, 4746, 676, 15646, 5446, 519, 7285, 543, 1315, 528, 556, 1673, 3863, 532, 519, 13902, 338, 519, 1739, 25482, 3652, 666, 849, 581, 9863, 630, 339, 787, 621, 264, 513, 273, 815, 536, 273, 1341, 524, 273, 910, 476, 273, 1314, 5430, 288, 10758, 536, 273, 815, 513, 273, 1341, 524, 273, 910, 476, 273, 659, 5430, 645, 634, 25482, 4341, 568, 4294, 538, 519, 3070, 540, 12730, 950, 519, 1739, 616, 2016, 281, 630, 272, 264, 630, 273, 264, 1079, 5011, 543, 606, 3769, 5086, 610, 1614, 5011, 780, 301, 5495, 301, 692, 9818, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 7078, 281, 476, 273, 476, 272, 269, 16534, 6906, 13235, 267, 609, 282, 630, 320, 264, 589, 284, 476, 5655, 4113, 269, 476, 10695, 4113, 267, 536, 815, 476, 278, 269, 2537, 4699, 543, 595, 815, 476, 276, 269, 5379, 9492, 269, 630, 321, 264, 2999, 289, 815, 476, 5611, 1547, 274, 4113, 267, 513, 815, 476, 279, 269, 11011, 4699, 543, 524, 815, 476, 276, 269, 2918, 4699, 269, 630, 322, 264, 595, 815, 476, 275, 269, 4962, 267, 513, 815, 476, 273, 269, 1839, 9492, 543, 536, 815, 476, 277, 269, 2190, 4699, 692, 11405, 281, 8074, 2141, 3314, 547, 1118, 513, 17250, 540, 519, 6906, 267, 15663, 602, 519, 7285, 1058, 2099, 922, 1826, 630, 659, 1393, 610, 1073, 339, 2224, 264, 543, 519, 5011, 1058, 581, 14354, 780, 8993, 476, 277, 269, 275, 269, 4595, 649, 616, 3168, 585, 519, 2427, 513, 519, 25482, 4341, 568, 547, 581, 1031, 2094, 536, 543, 524, 616, 2016, 1210, 281, 589, 273, 815, 536, 273, 1341, 524, 273, 910, 476, 273, 25900, 5430, 589, 543, 2655, 23082, 536, 815, 476, 278, 269, 2537, 4699, 267, 595, 815, 476, 276, 269, 5379, 9492, 543, 589, 815, 476, 5655, 269, 10695, 334, 799, 941, 2016, 883, 519, 4542, 543, 28976, 3947, 281, 589, 273, 815, 630, 278, 269, 2537, 264, 273, 1341, 630, 276, 269, 5379, 264, 273, 910, 476, 273, 630, 278, 269, 2537, 7565, 276, 269, 5379, 264, 5430, 476, 5655, 269, 10695, 815, 476, 7367, 269, 26604, 280, 1341, 476, 3066, 269, 279, 1556, 277, 910, 630, 1691, 269, 5379, 7565, 276, 269, 5379, 264, 630, 271, 269, 278, 3451, 275, 264, 815, 476, 7367, 269, 26604, 280, 1341, 476, 3066, 269, 279, 1556, 277, 910, 476, 6872, 269, 3445, 272, 276, 815, 476, 11025, 269, 5400, 275, 276, 910, 476, 6872, 269, 3445, 272, 276, 815, 476, 11025, 269, 5400, 275, 276, 910, 476, 6872, 269, 3445, 272, 276, 815, 476, 2190, 269, 8146, 815, 476, 2190, 269, 8146, 815, 18414, 2190, 269, 8146, 815, 476, 275, 269, 280, 1704, 277, 513, 815, 476, 275, 269, 10844, 9492, 692, 320, 273, 513, 1547, 262, 780, 301, 5495, 301, 692, 10441, 692, 300, 8025, 476, 15836, 692, 15045, 5456, 16688, 4953, 23802, 692, 2080, 519, 2318, 4009, 3597, 540, 513, 729, 3144, 1317, 649, 616, 7231, 609, 13080, 269, 1677, 1265, 519, 7285, 2901, 946, 519, 20534, 610, 25482, 4341, 627, 31295, 568, 4443, 585, 596, 630, 3086, 649, 2119, 1312, 3652, 264, 630, 320, 264, 1210, 519, 20534, 4341, 16429, 595, 815, 5609, 589, 713, 1797, 602, 524, 513, 513, 5609, 595, 815, 524, 5609, 589, 5609, 595, 815, 524, 5609, 589, 513, 865, 2655, 23082, 585, 519, 2418, 540, 524, 815, 476, 276, 269, 5379, 9492, 267, 589, 815, 476, 5655, 269, 10695, 4113, 543, 513, 815, 476, 275, 269, 10844, 4699, 883, 519, 3830, 3947, 282, 5609, 595, 815, 476, 276, 269, 5379, 5609, 5655, 4732, 274, 815, 476, 271, 269, 4037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 19044, 585, 4987, 11018, 5301, 563, 4002, 519, 5375, 2427, 2147, 267, 2943, 1114, 267, 6547, 723, 8507, 538, 454, 1260, 1706, 762, 9933, 725, 827, 519, 6739, 2427, 269, 6270, 9933, 725, 616, 6829, 676, 454, 257, 16269, 2760, 1246, 998, 2580, 834, 16269, 2141, 1689, 741, 3105, 2990, 2676, 663, 4986, 568, 3586, 2580, 834, 16269, 798, 711, 1616, 547, 2232, 519, 1483, 2152, 267, 865, 1946, 454, 29019, 594, 2508, 1945, 602, 568, 540, 6281, 6161, 547, 938, 3354, 1719, 267, 610, 568, 711, 454, 23855, 1227, 15164, 7790, 257, 5015, 267, 621, 568, 1419, 711, 2312, 585, 5375, 4966, 799, 454, 1993, 519, 6739, 1295, 31559, 568, 17101, 547, 6430, 593, 9757, 2152, 269, 634, 2479, 9434, 454, 321, 25114, 936, 3375, 6392, 1063, 519, 12080, 540, 6052, 630, 300, 2562, 2969, 6865, 1070, 519, 12080, 540, 454, 9377, 1619, 630, 27770, 291, 1070, 519, 6739, 13108, 543, 6237, 8128, 2488, 585, 1022, 5375, 4274, 454, 1492, 10539, 540, 513, 918, 2378, 6390, 525, 330, 2978, 31307, 563, 22069, 1903, 281, 10298, 547, 519, 1657, 5018, 15641, 9323, 547, 454, 523, 16652, 3354, 9316, 666, 1152, 581, 267, 543, 1590, 581, 267, 3964, 593, 513, 1164, 454, 5793, 32744, 1377, 269, 8191, 5511, 19206, 593, 519, 10512, 1377, 616, 1932, 3908, 454, 1729, 7753, 971, 23665, 269, 769, 519, 29291, 267, 519, 1152, 11600, 547, 519, 1967, 540, 1022, 5106, 454, 529, 547, 4383, 6788, 5402, 563, 3412, 6244, 2939, 281, 634, 1869, 2291, 550, 954, 2173, 26090, 1253, 6412, 24395, 919, 13253, 267, 11942, 454, 338, 22273, 545, 687, 543, 15583, 919, 4130, 2152, 630, 7945, 607, 896, 476, 273, 264, 883, 1804, 1543, 687, 602, 666, 454, 327, 5306, 3356, 540, 1022, 1982, 585, 930, 942, 269, 769, 519, 12653, 332, 13089, 2013, 267, 27410, 6887, 593, 519, 454, 305, 11701, 2427, 2874, 1419, 540, 6237, 6046, 26747, 18239, 4971, 619, 269, 1452, 616, 4395, 454, 1467, 10492, 602, 1589, 538, 513, 2757, 2797, 6752, 6028, 1360, 2370, 530, 24513, 548, 454, 3336, 543, 18515, 547, 21907, 3564, 1018, 789, 723, 1044, 17101, 547, 798, 267, 543, 1018, 454, 16269, 13498, 607, 519, 3020, 1158, 269, 6684, 593, 519, 5375, 2427, 267, 4571, 7400, 4108, 454, 3256, 7149, 519, 6429, 609, 1419, 2370, 10512, 1702, 269, 5015, 267, 1082, 540, 519, 454, 310, 3480, 5171, 4283, 519, 4901, 609, 519, 10169, 21087, 1944, 10182, 540, 454, 20442, 616, 1934, 547, 948, 596, 2973, 909, 707, 3190, 267, 649, 917, 1732, 267, 543, 596, 1732, 10505, 547, 454, 712, 7569, 29389, 630, 594, 723, 5063, 4862, 513, 6739, 3277, 547, 713, 607, 519, 834, 11990, 454, 310, 599, 928, 10182, 2668, 264, 901, 3003, 6422, 4991, 28978, 676, 12019, 2782, 834, 309, 1112, 528, 4840, 663, 834, 299, 334, 29141, 257, 5107, 602, 12153, 782, 1114, 2010, 540, 6547, 543, 5222, 593, 454, 10864, 582, 9911, 602, 594, 798, 711, 1616, 547, 1865, 1934, 269, 6271, 1713, 1966, 10953, 952, 454, 1492, 27410, 6887, 2874, 540, 513, 1114, 3575, 540, 16034, 269, 1403, 519, 835, 2427, 1281, 711, 6494, 454, 334, 1553, 619, 540, 3160, 7584, 267, 519, 824, 949, 13498, 15752, 607, 834, 2254, 3978, 4840, 11004, 2421, 28855, 1944, 519, 16395, 563, 22069, 1903, 281, 634, 27410, 6887, 1058, 2141, 2874, 540, 519, 1482, 11464, 16034, 547, 454, 817, 675, 519, 824, 2427, 602, 519, 15752, 616, 3978, 269, 32468, 9911, 543, 7569, 1058, 711, 454, 1203, 675, 3564, 519, 16786, 602, 729, 8815, 2390, 1354, 519, 5870, 538, 1931, 547, 2057, 454, 684, 928, 10354, 7080, 545, 687, 543, 10539, 269, 5375, 27410, 2319, 2818, 1058, 581, 454, 31860, 6213, 547, 519, 3354, 4145, 543, 2123, 27742, 540, 741, 6739, 454, 322, 3300, 30672, 269, 1284, 991, 547, 3314, 602, 7916, 1852, 1644, 2825, 1981, 17846, 454, 529, 849, 538, 519, 1719, 540, 519, 4639, 563, 3412, 6244, 2939, 281, 589, 1713, 15641, 2939, 547, 519, 3356, 540, 7916, 1852, 2825, 454, 9798, 2359, 3292, 568, 519, 5375, 4250, 547, 538, 30541, 1836, 22010, 6739, 6046, 454, 1598, 1538, 545, 7207, 269, 901, 5375, 6161, 568, 267, 1100, 8969, 267, 20582, 269, 1280, 1383, 2676, 10339, 21505, 543, 18175, 15665, 519, 4859, 6703, 585, 6046, 26747, 22837, 267, 610, 3384, 454, 663, 7598, 521, 12643, 550, 4066, 585, 1164, 24952, 5277, 14599, 3653, 689, 454, 305, 11701, 6046, 20140, 1149, 786, 6157, 2087, 519, 10512, 7207, 540, 519, 454, 305, 11701, 26747, 18239, 563, 11405, 281, 17423, 16234, 723, 547, 9260, 741, 5079, 1063, 519, 2640, 540, 454, 5913, 1005, 2825, 3106, 693, 519, 1981, 540, 2870, 8589, 18175, 10232, 547, 519, 10512, 454, 5115, 3809, 540, 519, 6739, 6046, 26747, 18239, 269, 10251, 267, 519, 3309, 6469, 454, 335, 11823, 5222, 540, 513, 605, 10276, 1444, 3903, 949, 581, 10002, 641, 983, 609, 1082, 14519, 1256, 454, 19370, 281, 589, 1713, 267, 2943, 6397, 267, 1966, 568, 519, 21318, 540, 20718, 454, 514, 1181, 1049, 2825, 2973, 5346, 6351, 3292, 602, 616, 14102, 689, 1114, 454, 12248, 1845, 269, 1280, 1383, 267, 538, 3345, 4639, 6576, 519, 1739, 4108, 6046, 26747, 454, 342, 4292, 2359, 6351, 3292, 2232, 519, 1482, 610, 3648, 20718, 2152, 912, 268, 519, 3864, 14502, 26859, 547, 519, 20448, 540, 18763, 2276, 570, 3722, 3041, 454, 268, 1585, 25422, 14102, 16528, 267, 25227, 543, 21785, 3292, 3248, 268, 519, 2136, 2276, 7025, 10466, 589, 2102, 322, 903, 12653, 332, 13089, 19541, 454, 268, 519, 2136, 2276, 16470, 7981, 1284, 777, 976, 589, 2102, 322, 903, 590, 1197, 617, 341, 1231, 330, 700, 305, 310, 1788, 3248, 268, 519, 959, 10561, 11848, 13639, 7025, 29046, 630, 4456, 4488, 264, 1982, 3248, 268, 1585, 2872, 267, 4357, 1857, 11450, 3292, 454, 763, 1198, 568, 602, 7482, 616, 6108, 538, 606, 796, 1723, 867, 3990, 6752, 2676, 3916, 1746, 519, 7145, 540, 2973, 5346, 3646, 269, 5015, 267, 971, 21318, 7182, 519, 454, 1464, 547, 21907, 1808, 2474, 538, 519, 1585, 18756, 3646, 269, 769, 1249, 267, 593, 454, 13367, 531, 14026, 267, 954, 268, 698, 1890, 6735, 1369, 835, 540, 519, 2477, 602, 1683, 454, 817, 2700, 267, 814, 3648, 8697, 519, 1967, 540, 513, 1982, 563, 13010, 267, 824, 13974, 1713, 2930, 543, 3656, 2152, 454, 1410, 626, 602, 723, 554, 2086, 1229, 519, 6388, 540, 7916, 1852, 1644, 2825, 3354, 454, 2889, 31810, 538, 6576, 269, 1358, 1331, 1851, 1866, 912, 268, 22195, 593, 2029, 6388, 585, 2825, 32598, 543, 3653, 454, 268, 9000, 540, 5812, 2110, 543, 1279, 2165, 7916, 1852, 1644, 3653, 2359, 454, 1598, 1538, 625, 543, 6859, 3248, 268, 22522, 543, 14427, 3498, 540, 1585, 3653, 2359, 4066, 1813, 547, 519, 454, 26078, 775, 540, 2789, 796, 1723, 867, 3990, 3292, 3248, 268, 2029, 3498, 1510, 6190, 2707, 3856, 1702, 543, 1991, 2029, 454, 268, 7928, 9000, 540, 4857, 7214, 3959, 2924, 540, 6739, 4066, 3248, 268, 22195, 593, 875, 547, 4194, 7214, 3959, 2924, 540, 5375, 2029, 25963, 454, 604, 513, 2029, 568, 7471, 585, 3653, 2359, 5301, 3248, 268, 6739, 21259, 540, 5375, 4066, 602, 616, 16865, 585, 519, 6852, 3483, 540, 454, 25075, 4575, 3653, 2359, 6639, 12588, 563, 6635, 916, 1852, 1644, 2825, 2973, 5346, 3646, 2154, 454, 1723, 867, 1588, 1851, 519, 2973, 5346, 8639, 547, 5150, 513, 23887, 543, 5059, 1935, 563, 13070, 872, 618, 547, 11282, 814, 547, 581, 2813, 593, 519, 5207, 22257, 2157, 540, 454, 817, 2700, 4491, 4575, 2477, 547, 11694, 519, 1764, 543, 2640, 540, 519, 3646, 269, 6270, 454, 1723, 867, 1588, 786, 3648, 2569, 3790, 676, 9319, 20718, 9541, 2676, 706, 6473, 540, 1382, 543, 10721, 1942, 269, 898, 786, 849, 1683, 519, 2797, 454, 4621, 29548, 543, 6617, 602, 568, 1898, 547, 6707, 2232, 971, 6213, 3390, 454, 732, 553, 607, 6046, 26747, 1232, 2174, 2153, 532, 543, 6046, 3653, 2973, 5346, 269, 26361, 4330, 454, 23024, 7891, 4019, 547, 3592, 782, 2022, 7916, 1852, 267, 18756, 3463, 5786, 1644, 454, 2889, 31810, 1063, 519, 5375, 2477, 543, 6576, 563, 1103, 519, 2104, 267, 7916, 1852, 16395, 786, 991, 547, 6451, 519, 454, 629, 913, 1995, 540, 519, 1034, 2487, 1296, 538, 1931, 547, 2497, 7916, 20214, 538, 513, 2922, 2676, 324, 1595, 1227, 3608, 543, 13476, 811, 7874, 6752, 269, 1488, 916, 1852, 666, 1152, 454, 6533, 581, 1572, 3811, 952, 519, 9604, 17263, 1570, 568, 9108, 6740, 610, 26356, 267, 519, 454, 933, 777, 976, 5867, 616, 1232, 2174, 2153, 539, 543, 1121, 23672, 267, 5449, 5520, 540, 519, 6046, 454, 8114, 12009, 1950, 723, 1336, 1007, 7694, 543, 519, 5449, 9604, 4859, 543, 2504, 454, 338, 2572, 616, 19345, 909, 563, 283, 268, 3689, 8525, 454, 270, 8921, 8525, 9847, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3848, 476, 2641, 267, 12756, 1923, 3848, 476, 2420, 267, 674, 11170, 32254, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 798, 744, 12921, 541, 543, 29464, 22427, 322, 345, 1231, 7288, 798, 1247, 29464, 568, 32014, 888, 5416, 264, 8758, 1540, 1079, 3775, 828, 625, 563, 6357, 264, 29464, 6026, 744, 12921, 541, 547, 1224, 563, 6262, 264, 7591, 539, 7405, 563, 5560, 264, 4112, 1819, 519, 2749, 563, 273, 269, 1879, 744, 12921, 541, 12134, 13983, 742, 547, 4001, 1864, 519, 9904, 267, 1018, 1281, 13983, 742, 2995, 744, 12921, 541, 547, 1404, 609, 3079, 540, 519, 2835, 888, 5416, 264, 634, 824, 1453, 538, 519, 1858, 563, 6357, 264, 634, 6666, 11578, 563, 6262, 264, 8000, 10633, 543, 595, 13741, 1137, 563, 5560, 264, 634, 11442, 31119, 646, 4421, 563, 274, 269, 769, 519, 4098, 540, 3848, 476, 1626, 267, 945, 3587, 513, 4759, 540, 519, 13303, 6778, 539, 14408, 6512, 888, 275, 269, 4208, 798, 519, 3197, 1289, 8841, 834, 335, 3233, 8841, 257, 1310, 519, 2112, 888, 5416, 264, 1261, 19380, 1010, 2363, 1122, 28904, 563, 6357, 264, 1261, 19380, 513, 1850, 563, 6262, 264, 1261, 10523, 563, 5560, 264, 1261, 19380, 1010, 1753, 563, 276, 269, 1548, 568, 6659, 538, 476, 4350, 279, 888, 5416, 264, 634, 1942, 540, 2069, 563, 6357, 264, 11426, 11645, 563, 6262, 264, 13937, 5777, 563, 5560, 264, 5253, 5777, 563, 14112, 8382, 5999, 454, 272, 269, 1879, 4223, 10045, 987, 3762, 519, 1591, 541, 7450, 1930, 543, 744, 12921, 541, 9060, 621, 267, 1018, 1281, 744, 12921, 541, 1745, 519, 1591, 541, 568, 14053, 540, 1864, 888, 273, 269, 1733, 846, 31070, 1281, 744, 12921, 541, 3343, 1310, 1010, 3993, 781, 2669, 888, 274, 269, 5808, 1281, 519, 5722, 540, 838, 3547, 2099, 888, 275, 269, 1215, 1281, 744, 12921, 541, 1745, 827, 519, 5939, 888, 276, 269, 769, 3848, 476, 1704, 267, 945, 1281, 744, 12921, 541, 1265, 547, 4217, 609, 519, 3406, 540, 1010, 3993, 888, 1607, 3296, 3568, 476, 1708, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 5445, 2811, 10451, 2367, 5217, 2592, 267, 543, 666, 581, 513, 3978, 2825, 3463, 281, 13641, 2801, 616, 10825, 2066, 519, 27397, 267, 15723, 1154, 519, 5135, 799, 2371, 543, 2831, 991, 547, 7639, 267, 855, 875, 3983, 568, 519, 3510, 2731, 888, 3725, 2286, 519, 13272, 281, 13641, 2801, 538, 519, 3771, 13118, 540, 5899, 1023, 1495, 454, 11947, 5210, 267, 1769, 12798, 543, 606, 9000, 540, 6329, 281, 5272, 1032, 538, 4832, 13479, 1205, 6899, 538, 519, 27397, 7256, 267, 13735, 593, 519, 2627, 267, 26124, 3039, 543, 4544, 910, 543, 3411, 20814, 12748, 1272, 563, 1607, 1032, 621, 4667, 2523, 3983, 269, 634, 4299, 1858, 568, 3592, 519, 2450, 540, 5125, 543, 1256, 7298, 689, 9018, 2230, 269, 898, 5526, 899, 513, 17254, 4842, 28067, 23337, 2454, 24095, 267, 476, 4391, 278, 476, 1822, 4009, 12919, 538, 2450, 267, 10825, 689, 18940, 547, 519, 4436, 6261, 565, 880, 8473, 543, 547, 519, 6532, 540, 681, 826, 2102, 563, 2005, 568, 519, 7887, 13479, 16411, 2094, 476, 1220, 276, 563, 288, 4999, 540, 8105, 543, 4365, 454, 763, 13431, 293, 3081, 1699, 2175, 616, 1412, 704, 2739, 262, 585, 13479, 2208, 454, 2005, 781, 711, 1175, 519, 13566, 4365, 799, 568, 6117, 519, 16036, 269, 898, 781, 849, 519, 1804, 7274, 540, 16903, 538, 519, 1216, 563, 257, 7021, 1922, 1068, 16478, 568, 519, 7887, 2825, 1966, 6849, 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 ]
[ 10972, 1725, 2670, 610, 9228, 3668, 540, 2069, 609, 717, 11679, 267, 609, 930, 1869, 32261, 513, 5868, 543, 1510, 4126, 476, 1691, 269, 280, 260, 630, 736, 5171, 1070, 891, 1806, 2630, 912, 14881, 1185, 1250, 1101, 4879, 950, 594, 729, 476, 279, 1296, 2025, 543, 723, 2938, 9118, 2790, 630, 322, 1735, 8688, 832, 267, 16895, 267, 24004, 28748, 1070, 2564, 267, 9659, 5059, 543, 3872, 4648, 630, 16694, 594, 729, 711, 8995, 2394, 713, 1032, 693, 2085, 476, 2190, 267, 1310, 594, 1224, 606, 2376, 827, 2576, 8995, 609, 2937, 11838, 543, 1287, 8179, 856, 513, 31897, 602, 2027, 2213, 538, 713, 1858, 264, 7536, 2108, 312, 8986, 540, 5275, 948, 585, 20026, 543, 9854, 609, 1100, 948, 267, 3765, 10972, 30938, 607, 4965, 2073, 6368, 4466, 513, 575, 335, 5461, 538, 5778, 17595, 1108, 602, 6700, 9584, 630, 520, 476, 6078, 344, 3464, 2025, 267, 1310, 2348, 2016, 909, 1250, 4876, 1813, 547, 4057, 8647, 1070, 1100, 8244, 540, 1857, 7616, 865, 6976, 1269, 10384, 585, 1079, 5369, 9332, 2077, 20499, 3034, 14881, 1745, 1360, 29341, 602, 594, 729, 2111, 547, 1205, 606, 11838, 4879, 543, 7766, 5868, 269, 4595, 476, 1001, 273, 594, 1185, 2938, 693, 2547, 3670, 15597, 30845, 2790, 1072, 4648, 630, 10175, 1614, 16895, 1070, 855, 621, 7012, 1406, 2394, 594, 4718, 513, 4357, 18673, 945, 1223, 1491, 519, 942, 547, 1451, 827, 1250, 2250, 543, 2589, 1107, 543, 2263, 1761, 3123, 2864, 982, 1152, 21365, 2589, 1107, 602, 621, 729, 6700, 547, 803, 594, 8179, 606, 4879, 585, 11838, 269, 769, 476, 1001, 280, 594, 729, 12290, 676, 513, 4357, 31897, 936, 4787, 4286, 630, 553, 972, 941, 1100, 4357, 16895, 538, 1250, 1858, 693, 602, 942, 1070, 543, 729, 2016, 513, 9672, 5868, 269, 594, 729, 1360, 29341, 547, 581, 538, 513, 2883, 2990, 1141, 594, 729, 2111, 547, 2628, 585, 519, 18673, 543, 31897, 20499, 3034, 2108, 307, 1245, 1250, 1699, 16362, 594, 4941, 547, 581, 12290, 585, 740, 24863, 269, 3502, 519, 1101, 942, 594, 4076, 4547, 621, 909, 609, 513, 16362, 855, 519, 1101, 942, 835, 814, 3144, 803, 12517, 269, 634, 1101, 16362, 594, 5143, 1767, 594, 4769, 1406, 6733, 899, 594, 1185, 621, 939, 657, 594, 7012, 1406, 3001, 513, 2603, 269, 594, 729, 1454, 7820, 543, 711, 1360, 7682, 633, 269, 20290, 476, 1428, 1296, 2663, 594, 6557, 593, 1199, 338, 543, 594, 6999, 594, 1185, 1044, 3144, 12517, 689, 519, 4098, 3034, 2108, 892, 16485, 539, 13382, 952, 594, 1223, 581, 12290, 269, 1261, 1767, 646, 4769, 1406, 3494, 602, 594, 729, 2693, 547, 723, 11838, 2016, 594, 723, 2022, 3766, 2784, 2069, 267, 543, 5143, 803, 547, 946, 661, 4338, 547, 2911, 547, 5369, 6048, 827, 1018, 968, 892, 516, 2072, 892, 892, 594, 1522, 581, 5275, 609, 8488, 532, 19326, 563, 20751, 519, 1985, 7008, 540, 4374, 1250, 2319, 3893, 1964, 19099, 267, 594, 4682, 24931, 267, 543, 1100, 3476, 729, 14718, 585, 661, 4338, 3034, 2108, 7069, 1858, 14311, 814, 1327, 636, 717, 11679, 267, 865, 1169, 942, 594, 979, 547, 1246, 909, 267, 594, 723, 547, 1376, 689, 519, 4098, 538, 14621, 547, 3168, 585, 513, 5868, 543, 20310, 873, 602, 594, 991, 948, 7536, 2108, 10521, 20499, 609, 1114, 717, 11679, 6998, 827, 5868, 1184, 267, 519, 1101, 9505, 1524, 1899, 540, 679, 11431, 543, 1500, 803, 1745, 1932, 13943, 547, 2046, 519, 3390, 267, 519, 824, 5219, 803, 547, 2185, 1863, 7886, 609, 513, 18673, 547, 1865, 22876, 2858, 1588, 3034, 2108, 307, 1779, 539, 547, 1250, 13382, 543, 1185, 547, 723, 2789, 7886, 20310, 873, 594, 1522, 723, 621, 267, 1287, 3843, 547, 1205, 513, 31897, 547, 1294, 803, 7536, 14881, 1336, 856, 1344, 827, 11838, 267, 1250, 11078, 729, 6158, 547, 1200, 3659, 827, 9887, 543, 1200, 3659, 1767, 1352, 729, 11838, 543, 1250, 11078, 1058, 1205, 7318, 269, 3733, 11078, 3893, 8995, 27352, 543, 5280, 803, 998, 519, 1482, 3460, 269, 594, 1433, 539, 8885, 538, 543, 3893, 8995, 269, 594, 723, 1044, 8995, 609, 4965, 543, 4160, 998, 1250, 575, 335, 543, 723, 1044, 2854, 1055, 607, 602, 269, 3143, 948, 547, 1265, 4376, 3116, 1100, 2339, 875, 21173, 610, 18901, 594, 5433, 3034, 14881, 729, 8995, 607, 513, 1126, 855, 1250, 544, 636, 4769, 1406, 1616, 803, 547, 581, 3053, 730, 267, 1185, 547, 1205, 2699, 328, 30938, 693, 476, 1789, 950, 594, 4956, 602, 594, 4941, 547, 2119, 6646, 607, 513, 1797, 540, 5883, 1250, 5084, 291, 607, 594, 729, 1360, 14129, 543, 16397, 693, 960, 269, 570, 1245, 1250, 13382, 630, 15367, 6035, 803, 4550, 31398, 816, 1218, 607, 513, 3247, 326, 777, 2268, 267, 799, 729, 11207, 11991, 1070, 3893, 5219, 15597, 267, 1369, 513, 1906, 3275, 594, 4718, 513, 3714, 2618, 945, 2699, 328, 30938, 803, 1510, 11688, 2787, 543, 2322, 803, 593, 681, 1388, 514, 3034, 14881, 1185, 547, 6108, 5176, 1269, 1220, 271, 547, 1205, 513, 5868, 543, 930, 3355, 18006, 267, 782, 4357, 269, 594, 849, 1185, 547, 1582, 3146, 2536, 607, 519, 4387, 594, 4718, 693, 1250, 717, 11679, 267, 4769, 1406, 2731, 1174, 1018, 594, 4941, 3034, 2108, 16485, 539, 1896, 15870, 585, 21904, 543, 678, 1388, 514, 630, 323, 573, 333, 1406, 917, 621, 729, 11658, 1070, 729, 14578, 9505, 1524, 267, 835, 13382, 4280, 952, 594, 729, 1175, 23535, 3187, 982, 594, 2219, 267, 5555, 3893, 513, 8799, 13382, 267, 5280, 803, 1265, 513, 11285, 630, 7804, 670, 1070, 22666, 2724, 689, 3237, 547, 1205, 7318, 607, 654, 2562, 313, 616, 536, 770, 1841, 3034, 14881, 4280, 519, 4387, 585, 948, 609, 5883, 1250, 1272, 1732, 267, 543, 5795, 1864, 930, 1806, 540, 2042, 594, 723, 602, 594, 4076, 8068, 824, 1004, 1810, 1406, 3100, 547, 723, 267, 543, 646, 4280, 1896, 2055, 540, 803, 267, 543, 7150, 602, 621, 7012, 1406, 11838, 610, 4376, 2147, 267, 602, 594, 1175, 1185, 547, 960, 9875, 693, 1818, 8885, 798, 1919, 563, 296, 21503, 824, 2081, 540, 3478, 948, 585, 891, 1919, 267, 855, 7948, 1406, 1265, 1022, 811, 948, 269, 2561, 30068, 596, 723, 547, 581, 5219, 676, 519, 4387, 269, 594, 4076, 2094, 4280, 827, 20284, 607, 1134, 689, 519, 4387, 945, 814, 1767, 602, 972, 779, 1100, 948, 585, 968, 7474, 2186, 540, 3364, 5608, 865, 3478, 513, 5868, 568, 513, 3653, 540, 942, 563, 5278, 821, 6700, 594, 1935, 938, 2199, 1857, 2790, 1072, 8998, 267, 855, 594, 1185, 513, 1360, 3983, 1995, 609, 873, 1896, 1296, 3516, 936, 513, 8194, 2389, 3419, 13499, 15059, 630, 16269, 15189, 547, 6432, 610, 948, 803, 2394, 594, 3576, 9399, 305, 3674, 543, 950, 594, 15189, 547, 1491, 873, 1317, 1250, 1560, 23465, 5906, 569, 547, 9399, 305, 3674, 267, 789, 1287, 15034, 803, 540, 544, 2718, 1359, 269, 1358, 31002, 803, 607, 968, 637, 9665, 892, 543, 579, 5529, 519, 1297, 540, 1095, 18587, 594, 1185, 547, 1491, 538, 1931, 547, 1569, 1416, 267, 865, 594, 1185, 547, 11166, 8885, 1247, 1869, 1373, 29047, 547, 1832, 8885, 2922, 689, 873, 1070, 607, 513, 1267, 594, 1205, 513, 4049, 11784, 4323, 1022, 942, 594, 979, 2282, 873, 267, 621, 1131, 581, 3614, 21874, 547, 1250, 2790, 1072, 547, 1935, 519, 2199, 1857, 2790, 1072, 1062, 538, 713, 3390, 563, 296, 993, 849, 593, 513, 4324, 865, 594, 798, 711, 723, 519, 7482, 547, 3343, 4357, 1416, 7933, 328, 1725, 2670, 563, 5804, 1934, 267, 594, 723, 1100, 1634, 3681, 547, 1205, 513, 5868, 267, 865, 594, 723, 547, 4308, 609, 3388, 593, 1250, 1378, 1107, 609, 8795, 5232, 540, 1967, 3034, 14881, 1185, 547, 3277, 8885, 1310, 1373, 16053, 585, 476, 736, 1296, 676, 575, 1186, 7536, 2108, 5353, 523, 13382, 267, 1185, 930, 1970, 1377, 4152, 972, 267, 11074, 693, 29748, 3034, 2108, 307, 1779, 539, 547, 1250, 7189, 267, 723, 1044, 5143, 602, 779, 1175, 875, 2306, 616, 950, 6045, 827, 1250, 5409, 325, 1371, 532, 543, 7340, 6888, 267, 2034, 4387, 729, 811, 5363, 543, 5143, 803, 547, 3142, 538, 10070, 689, 1250, 3237, 543, 971, 540, 875, 594, 729, 950, 594, 729, 513, 4819, 267, 575, 527, 5143, 1256, 952, 594, 729, 513, 2178, 11134, 602, 621, 729, 3810, 12691, 594, 1131, 581, 3100, 1869, 2094, 594, 729, 1164, 344, 968, 338, 22066, 270, 10818, 532, 968, 263, 296, 1589, 602, 779, 519, 2262, 15426, 7536, 763, 1857, 1072, 1062, 814, 5249, 585, 476, 274, 269, 278, 260, 630, 276, 5171, 1070, 4352, 930, 5185, 1713, 17799, 538, 5868, 912, 2108, 8269, 518, 1042, 547, 2146, 2790, 1072, 2533, 585, 16143, 11838, 543, 7099, 4713, 676, 13382, 267, 8995, 609, 513, 7099, 4524, 543, 2322, 593, 519, 7996, 1592, 585, 606, 11838, 4879, 267, 12290, 585, 11838, 811, 982, 1079, 1296, 2663, 3034, 2108, 7069, 8250, 729, 8995, 555, 745, 519, 1857, 1062, 543, 594, 1483, 2213, 602, 594, 4440, 1185, 621, 607, 1134, 269, 594, 1500, 513, 13382, 13393, 267, 4280, 519, 2703, 547, 3277, 803, 547, 513, 31897, 269, 2991, 513, 1906, 5870, 609, 519, 2618, 594, 729, 11311, 678, 1388, 514, 543, 8995, 269, 594, 729, 5219, 547, 513, 18673, 543, 9333, 809, 3797, 585, 936, 513, 1032, 269, 2353, 1863, 269, 769, 717, 529, 13871, 7536, 2108, 5970, 1044, 8995, 1312, 27352, 543, 15597, 267, 1360, 1114, 2833, 269, 2549, 1631, 849, 538, 513, 2990, 24015, 1141, 594, 723, 1500, 21904, 3034, 14881, 729, 2016, 513, 29748, 547, 519, 1857, 2790, 1072, 2319, 950, 594, 4280, 267, 543, 1185, 476, 273, 20499, 609, 513, 31897, 1107, 519, 3355, 835, 729, 476, 273, 3108, 1279, 267, 543, 519, 2034, 835, 607, 513, 2638, 538, 543, 21533, 540, 5868, 3034, 2108, 26473, 6479, 813, 339, 609, 11285, 555, 745, 1857, 1062, 3842, 575, 335, 7536, 1103, 519, 6967, 13366, 1004, 723, 2016, 909, 593, 513, 5868, 267, 1185, 1044, 8995, 607, 1453, 609, 1100, 973, 565, 3005, 540, 519, 3169, 1184, 267, 941, 8995, 18246, 543, 1185, 741, 5868, 9672, 1934, 267, 930, 616, 911, 15436, 2213, 689, 3105, 2833, 267, 930, 616, 1869, 7996, 267, 930, 1185, 6646, 4145, 267, 930, 723, 1152, 9241, 4362, 602, 789, 723, 11838, 267, 930, 1185, 15458, 5868, 11673, 267, 543, 513, 1906, 5795, 4267, 711, 1644, 547, 519, 2243, 799, 941, 31680, 269, 634, 4267, 602, 723, 10083, 547, 713, 1382, 3564, 713, 2241, 1257, 6609, 594, 723, 11540, 2630, 912, 2108, 299, 1824, 540, 4693, 543, 5470, 6266, 540, 922, 707, 15970, 950, 3257, 1250, 1453, 6266, 540, 7130, 6266, 540, 789, 1810, 1406, 723, 621, 789, 616, 5386, 543, 3668, 540, 1153, 1489, 7536, 14881, 2141, 1185, 513, 27421, 543, 950, 3388, 729, 3478, 1483, 2182, 594, 22666, 513, 9522, 928, 540, 2724, 1055, 1250, 544, 636, 547, 1205, 8995, 543, 1205, 948, 3034, 2108, 892, 296, 1705, 513, 927, 5055, 2603, 540, 1382, 25656, 1700, 1721, 513, 7008, 540, 1296, 267, 2965, 267, 593, 543, 1055, 267, 3843, 547, 6430, 952, 594, 729, 18617, 2614, 547, 6108, 1269, 6110, 266, 593, 606, 13393, 269, 594, 2877, 547, 10416, 581, 2386, 8885, 630, 20357, 1269, 6110, 266, 568, 589, 20769, 1070, 865, 972, 729, 513, 2603, 540, 2542, 543, 3206, 543, 30443, 6362, 593, 11838, 543, 27020, 543, 13079, 291, 903, 15473, 630, 663, 1256, 1631, 267, 594, 6557, 1869, 711, 9980, 790, 569, 17610, 267, 2016, 602, 594, 1589, 20284, 568, 849, 513, 7872, 538, 1840, 547, 11838, 543, 594, 10093, 1406, 7307, 547, 9846, 1491, 519, 1199, 338, 2943, 267, 543, 602, 779, 15151, 513, 5868, 1505, 540, 922, 1378, 1916, 296, 4682, 4357, 269, 594, 8910, 2048, 323, 6836, 547, 979, 998, 519, 1857, 1072, 1062, 543, 1250, 4387, 4294, 585, 803, 267, 1256, 1498, 1352, 729, 13948, 19796, 1190, 1700, 9917, 814, 1360, 2370, 1702, 540, 11838, 9887, 1700, 8117, 789, 2366, 1394, 513, 4484, 9247, 6031, 2048, 933, 1810, 1406, 723, 519, 7616, 267, 979, 1294, 519, 3084, 11838, 13539, 8730, 799, 729, 7184, 796, 15276, 995, 267, 855, 849, 19039, 569, 4397, 689, 519, 1857, 1062, 269, 3733, 4387, 1705, 2965, 4363, 7487, 519, 4357, 31897, 594, 1705, 5555, 979, 1294, 267, 1498, 563, 296, 723, 513, 7008, 540, 2828, 945, 3893, 8995, 3842, 602, 31897, 1700, 821, 540, 873, 3478, 8995, 729, 519, 2601, 594, 3323, 1373, 3222, 540, 11838, 607, 5732, 7311, 547, 803, 1700, 810 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11790, 269, 476, 277, 269, 1773, 10165, 1323, 26087, 525, 609, 15845, 11790, 269, 476, 278, 269, 667, 8817, 623, 268, 11749, 1132, 269, 476, 279, 269, 9615, 25849, 906, 607, 18983, 20706, 269, 476, 280, 269, 30498, 540, 9615, 25849, 906, 269, 476, 1015, 269, 17438, 20518, 1903, 585, 9615, 25849, 906, 269, 476, 1556, 269, 11790, 269, 476, 1321, 30818, 294, 12952, 540, 18983, 16615, 4223, 4631, 269, 10001, 31834, 540, 5071, 269, 476, 1724, 269, 20472, 532, 4223, 3481, 27842, 609, 15845, 11790, 269, 476, 1691, 269, 5071, 15689, 585, 15845, 11790, 563, 26469, 681, 269, 25347, 29231, 568, 519, 7917, 717, 269, 10925, 29992, 7905, 540, 10803, 693, 519, 1733, 691, 517, 3427, 540, 519, 2160, 540, 12425, 269, 1280, 7418, 547, 21465, 23221, 267, 646, 4607, 519, 681, 269, 589, 269, 17384, 13815, 538, 476, 1001, 280, 543, 519, 6723, 654, 269, 590, 2740, 1815, 528, 13815, 538, 476, 1220, 274, 267, 1312, 689, 519, 9730, 540, 3465, 6342, 540, 18926, 5081, 7724, 630, 4596, 31723, 1040, 1261, 9447, 606, 594, 5960, 2405, 718, 542, 17976, 593, 519, 1888, 540, 713, 1433, 538, 476, 1708, 271, 269, 3220, 269, 25347, 29231, 568, 519, 2278, 540, 1896, 824, 2835, 1519, 17325, 1049, 5525, 630, 306, 1440, 5424, 476, 1960, 276, 267, 476, 1220, 273, 1070, 5071, 540, 17325, 1049, 5525, 630, 306, 1440, 5424, 476, 1001, 271, 267, 476, 1708, 271, 1070, 543, 9866, 3569, 543, 15331, 281, 1323, 4985, 547, 6970, 10650, 5606, 2397, 630, 19604, 10542, 2160, 4964, 476, 1001, 278, 1916, 24281, 5758, 267, 713, 1433, 2488, 2312, 11673, 547, 2491, 2079, 540, 2963, 2188, 538, 22423, 2090, 269, 769, 1840, 267, 519, 2278, 849, 2488, 519, 11826, 3069, 547, 1489, 519, 14496, 540, 16097, 538, 713, 1433, 269, 1280, 519, 6388, 540, 16097, 267, 519, 2278, 10953, 513, 10189, 2048, 5271, 1211, 8730, 799, 2306, 3988, 16196, 543, 2936, 519, 2409, 3362, 269, 769, 2489, 267, 713, 1433, 568, 606, 5863, 4704, 585, 1346, 945, 616, 5461, 538, 21465, 23221, 610, 22423, 2090, 4799, 6441, 328, 6261, 836, 16441, 538, 4750, 540, 519, 9576, 18926, 5980, 10022, 589, 267, 4728, 476, 1708, 273, 454, 257, 263, 1862, 264, 519, 1433, 5036, 1164, 4441, 585, 519, 2079, 540, 1346, 22423, 2090, 602, 3514, 1369, 922, 1625, 1613, 269, 589, 2647, 2039, 540, 1806, 543, 2404, 1239, 616, 5941, 267, 782, 609, 1271, 1857, 1072, 6286, 269, 3267, 1306, 519, 2278, 5267, 267, 18374, 2247, 539, 3988, 945, 18178, 519, 2143, 6128, 666, 18562, 2744, 1271, 4030, 676, 1739, 519, 8404, 267, 3156, 543, 1806, 269, 634, 2152, 6659, 543, 2798, 1500, 616, 1271, 8164, 12205, 1336, 538, 22423, 1239, 616, 1031, 607, 513, 4493, 585, 6811, 540, 1757, 566, 907, 4799, 11219, 7897, 670, 269, 6301, 323, 10735, 538, 4139, 18926, 5623, 267, 4728, 476, 1708, 273, 454, 257, 14454, 267, 594, 2015, 519, 1433, 547, 581, 513, 3638, 4199, 585, 10962, 713, 5266, 1007, 2943, 3810, 26374, 1858, 540, 1382, 269, 634, 1433, 568, 6896, 883, 2185, 590, 30708, 269, 2560, 8791, 4083, 5036, 519, 3159, 585, 519, 1964, 540, 519, 1433, 676, 10655, 5402, 6074, 1806, 269, 2560, 3848, 476, 275, 2488, 2947, 1483, 2090, 547, 29360, 3344, 540, 2963, 2188, 689, 513, 3099, 540, 11347, 1806, 269, 2560, 634, 3184, 568, 29979, 998, 681, 9479, 585, 519, 1806, 4988, 543, 3946, 6823, 5751, 585, 519, 5461, 5467, 269, 16610, 616, 1134, 19286, 730, 998, 6405, 4881, 1806, 269, 2560, 8791, 8633, 540, 519, 1433, 561, 1742, 513, 28879, 11826, 7828, 547, 519, 11521, 1431, 10356, 689, 519, 1239, 9382, 543, 10230, 1806, 538, 8791, 4083, 269, 2560, 901, 7954, 568, 18991, 6045, 3034, 7304, 1690, 1513, 6062, 631, 4157, 615, 329, 2465, 538, 4437, 6248, 338, 267, 4873, 476, 1708, 272, 454, 21893, 1433, 568, 519, 1101, 547, 1865, 2963, 2188, 543, 568, 513, 3407, 9295, 269, 6465, 2065, 2103, 2324, 593, 22423, 2090, 1131, 1265, 519, 1433, 3730, 269, 2506, 2869, 673, 3173, 945, 2932, 22423, 2090, 1131, 1265, 30667, 476, 272, 268, 277, 3730, 269, 594, 1131, 2161, 519, 1433, 5713, 811, 607, 513, 4704, 982, 513, 1837, 4352, 519, 1433, 568, 607, 561, 16112, 569, 2854, 607, 1022, 1434, 1837, 2507, 296, 1131, 9244, 4363, 8313, 269, 634, 1433, 786, 581, 540, 2647, 1719, 547, 21465, 23221, 9439, 4799, 6874, 539, 4639, 1782, 267, 2160, 540, 12590, 267, 2549, 615, 560, 454, 21893, 1433, 786, 581, 540, 2647, 1719, 547, 21465, 23221, 9439, 4799, 11219, 334, 601, 5682, 5264, 267, 31257, 631, 749, 517, 2160, 454, 21893, 1433, 711, 1152, 6770, 1454, 540, 519, 4901, 1472, 519, 1888, 540, 18187, 1464, 538, 21465, 23221, 538, 835, 1747, 267, 621, 1281, 621, 538, 513, 1259, 3015, 547, 1034, 269, 594, 1131, 11613, 4363, 713, 1433, 585, 8313, 269, 630, 328, 264, 589, 2462, 4222, 568, 602, 519, 1433, 568, 6857, 540, 519, 3666, 621, 2115, 547, 1832, 1851, 30070, 519, 1523, 267, 3246, 2930, 4598, 543, 11744, 519, 3498, 540, 519, 1505, 269, 630, 4512, 264, 901, 1433, 568, 1582, 8410, 22633, 269, 630, 13839, 264, 634, 681, 9479, 538, 519, 3723, 17084, 543, 811, 8100, 547, 1808, 681, 15004, 547, 2936, 519, 2409, 568, 513, 5458, 7132, 585, 519, 1433, 269, 630, 643, 264, 2986, 1576, 267, 811, 593, 713, 1888, 6818, 602, 568, 711, 4988, 538, 519, 1433, 269, 901, 1433, 3947, 2556, 8100, 547, 4574, 585, 8049, 3988, 269, 1703, 568, 513, 2312, 11984, 540, 519, 1445, 540, 11271, 998, 476, 277, 543, 519, 8545, 11271, 2507, 2755, 519, 4505, 11271, 2015, 15845, 11790, 538, 6657, 267, 519, 2663, 11271, 616, 827, 519, 7869, 540, 15845, 11790, 269, 901, 11984, 568, 1271, 547, 9414, 2093, 269, 898, 568, 849, 8799, 602, 519, 1433, 21448, 909, 519, 4901, 693, 519, 1439, 538, 3848, 476, 1724, 609, 1082, 4052, 2645, 2507, 1607, 1433, 711, 1152, 6770, 1454, 540, 519, 4901, 1472, 519, 1888, 540, 18187, 1464, 538, 21465, 23221, 538, 835, 1747, 267, 621, 1281, 621, 538, 513, 1259, 3015, 547, 1034, 269, 594, 1131, 11613, 4363, 713, 1433, 585, 8313, 4799, 5174, 1731, 1090, 918, 1301, 752, 541, 267, 2160, 540, 8419, 454, 257, 26469, 25347, 29231, 568, 513, 22064, 1163, 657, 3218, 540, 1950, 8579, 2035, 543, 2409, 269, 3571, 2835, 593, 7421, 1239, 689, 22423, 2090, 616, 711, 1152, 513, 12257, 547, 1224, 543, 547, 1451, 689, 855, 616, 14046, 543, 2144, 644, 924, 538, 2081, 602, 616, 711, 6093, 540, 12591, 538, 7194, 2507, 763, 6069, 12377, 568, 538, 519, 1482, 2511, 607, 25347, 29231, 779, 4505, 2835, 543, 4061, 14767, 547, 581, 2442, 607, 513, 4704, 585, 1382, 4600, 610, 607, 513, 1837, 585, 4359, 15938, 610, 10927, 1053, 267, 1775, 4318, 1421, 3988, 609, 6190, 8579, 15657, 269, 1703, 568, 513, 2603, 540, 12497, 543, 2930, 12227, 2838, 547, 1174, 543, 946, 8579, 2409, 585, 21465, 23221, 269, 769, 713, 1433, 25347, 29231, 568, 2921, 513, 1900, 1394, 269, 3571, 3804, 568, 547, 1011, 6510, 519, 13016, 3268, 602, 1291, 547, 513, 13618, 827, 513, 21465, 2078, 538, 2259, 543, 547, 1683, 6101, 2409, 585, 23827, 908, 543, 20604, 2963, 689, 2090, 547, 948, 519, 3621, 2146, 3914, 13618, 827, 21465, 3347, 269, 901, 1433, 786, 581, 513, 3407, 1840, 547, 519, 21465, 23221, 3332, 4799, 5937, 2643, 534, 9540, 267, 2160, 540, 12425, 0, 24523, 3610, 2285, 13465, 543, 5639, 4245, 543, 4001, 1004, 875, 547, 1404, 3875, 7574, 7405, 899, 519, 30413, 267, 13691, 267, 27120, 267, 543, 13176, 269, 1411, 666, 960, 851, 6066, 610, 2407, 6066, 9170, 689, 10026, 543, 1164, 3506, 547, 4758, 4357, 4245, 689, 513, 2575, 4558, 269, 1411, 786, 581, 2838, 547, 4001, 1585, 7574, 2035, 971, 607, 7574, 1686, 267, 3069, 267, 8289, 268, 15105, 267, 543, 15747, 2553, 563, 2791, 786, 849, 581, 4397, 547, 6895, 707, 2875, 781, 2773, 543, 3446, 741, 3356, 1419, 998, 973, 8558, 543, 12644, 269, 2659, 2816, 607, 513, 4116, 3340, 596, 547, 5512, 519, 1053, 547, 3986, 741, 2067, 13344, 543, 15421, 543, 1683, 2866, 602, 786, 4196, 607, 513, 5748, 585, 513, 2575, 4876, 269, 898, 2337, 547, 723, 513, 6612, 585, 2575, 607, 621, 2306, 621, 707, 2816, 547, 3274, 2671, 602, 6612, 563, 6624, 4583, 7574, 5159, 723, 11911, 741, 1459, 1967, 547, 7574, 4245, 3144, 950, 7820, 269, 589, 20277, 781, 4110, 538, 2575, 568, 1034, 4122, 2838, 269, 634, 3328, 2575, 4116, 538, 519, 2136, 2276, 2306, 1269, 2190, 269, 3451, 606, 5662, 543, 1269, 2004, 267, 277, 1556, 12422, 269, 0, 4415, 1152, 865, 1082, 3108, 538, 513, 1554, 547, 1353, 267, 621, 779, 1100, 4898, 1053, 616, 2141, 9561, 3207, 269, 1280, 1346, 4974, 547, 1831, 2564, 9439, 267, 519, 7887, 21677, 568, 4947, 547, 2474, 609, 782, 972, 568, 547, 1451, 827, 1480, 14169, 269, 1703, 616, 5215, 540, 1919, 547, 1451, 267, 1082, 540, 873, 609, 1279, 543, 8966, 4408, 910, 7474, 779, 513, 2603, 540, 1279, 17334, 563, 1432, 1082, 1004, 1810, 1406, 8275, 568, 602, 972, 779, 513, 6836, 543, 3020, 1505, 547, 948, 596, 1451, 1480, 14169, 3728, 269, 631, 26937, 9582, 630, 21710, 689, 519, 9147, 5259, 544, 26937, 517, 1731, 657, 12462, 1993, 3965, 14615, 616, 3965, 11226, 602, 666, 948, 596, 547, 1451, 543, 3314, 1169, 1469, 540, 1480, 14169, 593, 519, 5544, 267, 543, 782, 596, 991, 547, 798, 568, 6432, 563, 4415, 544, 26937, 9582, 596, 666, 1451, 543, 27655, 3388, 689, 519, 5007, 25558, 573, 16050, 8371, 547, 519, 7750, 1388, 6522, 320, 9115, 538, 3764, 1510, 1022, 2542, 269, 10261, 547, 27655, 519, 9120, 1199, 770, 25177, 9115, 286, 3807, 3314, 713, 2241, 1509, 333, 5669, 281, 968, 289, 2969, 306, 1299, 570, 7728, 6100, 12344, 4605, 513, 22742, 9702, 267, 543, 4730, 13836, 538, 519, 6288, 912, 19425, 540, 513, 677, 320, 454, 21841, 1640, 642, 6511, 524, 6072, 454, 301, 12883, 630, 341, 27534, 1299, 943, 1066, 545, 994, 10303, 891, 1079, 2653, 547, 3314, 1913, 723, 1044, 4294, 547, 519, 1702, 267, 30534, 519, 2404, 1913, 568, 2673, 547, 7543, 269, 634, 1883, 547, 544, 26937, 9582, 568, 1210, 12300, 267, 12572, 10291, 602, 18427, 606, 3929, 3210, 267, 543, 3976, 31391, 513, 3982, 3965, 269, 19244, 713, 1509, 333, 5669, 547, 3054, 856, 10978, 1896, 2053, 267, 543, 30971, 15341, 334, 267, 596, 3580, 4440, 1265, 596, 4076, 1500, 513, 14634, 538, 707, 1353, 2336, 4407, 14169, 1509, 333, 15299, 666, 581, 19927, 689, 513, 1433, 267, 6417, 2090, 723, 3254, 602, 8301, 544, 26937, 9582, 616, 519, 16595, 1259, 547, 12260, 519, 2407, 1761, 540, 707, 3965, 269, 898, 568, 1767, 602, 596, 666, 1451, 1082, 2053, 5488, 676, 6947, 267, 607, 519, 1480, 1560, 568, 31127, 23553, 547, 2611, 10332, 547, 4992, 269, 1879, 596, 1224, 267, 596, 616, 12155, 547, 7404, 19240, 267, 6466, 676, 6947, 547, 8301, 609, 1274, 10746, 593, 707, 3007, 568, 6378, 543, 2141, 4393, 519, 1344, 693, 1688, 269, 0, 293, 718, 476, 1708, 273, 5240, 12072, 454, 3528, 23436, 595, 269, 670, 8553, 2581, 267, 14997, 6185, 1421, 12463, 295, 267, 7460, 4916, 267, 7460, 25897, 454, 17206, 540, 23916, 585, 6481, 7070, 630, 308, 4456, 306, 264, 5441, 540, 14997, 2329, 454, 26574, 2530, 568, 1419, 4857, 1282, 30674, 950, 4587, 4079, 616, 12290, 269, 5455, 547, 476, 2568, 260, 540, 32509, 4587, 4079, 616, 4731, 333, 712, 1639, 610, 693, 1981, 585, 22926, 267, 543, 713, 568, 2404, 609, 1614, 19507, 2799, 3790, 543, 1071, 2173, 27225, 885, 971, 607, 2604, 7063, 267, 5563, 267, 543, 8813, 269, 272, 20099, 540, 3251, 543, 9019, 2333, 607, 513, 1267, 269, 2561, 564, 924, 1419, 11527, 8460, 950, 4576, 10953, 543, 2550, 616, 15861, 547, 519, 6413, 269, 19198, 543, 15637, 1831, 811, 21713, 607, 741, 6068, 835, 814, 606, 8650, 4576, 267, 31392, 7459, 602, 1131, 2087, 14031, 543, 9422, 4567, 563, 15239, 14428, 29108, 1670, 2409, 1419, 8045, 1282, 30674, 547, 8396, 9422, 22907, 2356, 1331, 1840, 540, 3940, 270, 5632, 12929, 9360, 269, 1323, 1935, 1031, 1447, 1419, 568, 547, 12666, 1125, 519, 2732, 269, 1280, 1383, 267, 513, 1970, 9770, 2732, 568, 513, 3044, 1931, 585, 2043, 609, 13487, 2068, 269, 589, 1970, 9770, 2732, 666, 3648, 6175, 1973, 2604, 538, 2043, 609, 13119, 676, 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 ]
[ 8084, 2934, 543, 9599, 15581, 6384, 630, 10175, 8666, 14001, 5279, 21307, 8175, 5108, 543, 741, 6384, 264, 602, 616, 1114, 982, 519, 3070, 1673, 1170, 9407, 7636, 610, 5672, 668, 12817, 533, 6973, 10455, 514, 2861, 7135, 269, 634, 4417, 540, 1585, 10991, 630, 1372, 18051, 334, 607, 1134, 607, 2022, 1606, 11853, 264, 16097, 585, 519, 4070, 540, 533, 6973, 10455, 514, 17834, 22661, 267, 6901, 547, 16785, 2037, 307, 267, 538, 1312, 2206, 2280, 543, 17784, 339, 7030, 9529, 267, 607, 1134, 607, 824, 2584, 7765, 706, 1027, 3157, 941, 8268, 676, 630, 272, 264, 8795, 519, 5907, 3601, 540, 519, 533, 6973, 10455, 514, 3095, 619, 267, 630, 273, 264, 1110, 6819, 519, 6708, 540, 5907, 23993, 540, 533, 6973, 10455, 1231, 543, 824, 2699, 2135, 268, 5562, 3095, 619, 267, 543, 630, 274, 264, 12561, 1533, 6361, 7308, 19603, 4715, 14029, 8084, 2553, 547, 3715, 2964, 2065, 1620, 630, 8993, 269, 476, 273, 1916, 300, 12817, 2300, 527, 976, 630, 19491, 1258, 1700, 23346, 8424, 609, 521, 14184, 11006, 1648, 264, 538, 533, 6973, 10455, 514, 2861, 17834, 22661, 666, 7561, 22109, 547, 1007, 4609, 1354, 21921, 1456, 3842, 10237, 894, 543, 5924, 1875, 268, 2784, 14306, 3157, 1519, 2300, 527, 517, 24590, 883, 5279, 19057, 269, 769, 6986, 2000, 28310, 1949, 267, 2300, 527, 517, 9194, 3322, 513, 1582, 7721, 4219, 15178, 5577, 4771, 1184, 267, 799, 814, 1044, 4330, 3842, 519, 674, 23152, 3122, 610, 667, 1410, 614, 7271, 4470, 593, 519, 8095, 32032, 540, 519, 9599, 2551, 269, 4634, 1498, 2206, 2280, 2300, 527, 976, 616, 2110, 24331, 267, 519, 674, 23152, 3122, 16982, 1648, 4483, 630, 293, 3918, 307, 264, 1184, 568, 3810, 3608, 630, 16308, 538, 2067, 1769, 3620, 541, 4034, 532, 23838, 538, 2584, 4722, 594, 270, 2862, 264, 547, 7520, 513, 1279, 24365, 2300, 527, 517, 9194, 630, 328, 4318, 269, 3436, 2004, 16354, 1040, 634, 674, 3918, 307, 2557, 3586, 630, 330, 293, 3918, 307, 815, 476, 273, 11027, 297, 11054, 394, 502, 270, 315, 7268, 327, 8663, 315, 4297, 5673, 593, 519, 954, 577, 668, 641, 1817, 545, 5907, 23993, 808, 630, 324, 309, 1070, 543, 519, 16937, 7533, 3852, 502, 630, 324, 309, 6629, 272, 264, 1063, 519, 1858, 5991, 5436, 1242, 20033, 28264, 543, 3398, 528, 10338, 13164, 7367, 267, 7871, 267, 7918, 267, 4649, 269, 3371, 267, 808, 666, 581, 1110, 4327, 676, 25122, 519, 17834, 293, 23289, 267, 799, 11225, 519, 3448, 2990, 543, 10066, 540, 519, 6985, 2684, 2803, 267, 543, 3852, 502, 666, 581, 5097, 22934, 676, 519, 1374, 540, 519, 1367, 6985, 2684, 648, 3095, 619, 269, 769, 4334, 267, 17784, 339, 2300, 527, 976, 616, 1279, 24331, 267, 855, 519, 4398, 540, 519, 17784, 339, 1700, 28256, 921, 339, 1648, 4483, 630, 22721, 4953, 264, 1184, 949, 581, 3908, 676, 519, 10421, 540, 513, 10156, 3845, 563, 3080, 540, 519, 4505, 1193, 583, 3562, 268, 1598, 583, 2037, 25629, 1369, 533, 6973, 10455, 514, 2861, 17834, 22661, 729, 4080, 676, 519, 670, 6269, 1895, 1210, 513, 6404, 2000, 28310, 1062, 269, 589, 13058, 30361, 31784, 20253, 601, 17834, 293, 267, 3957, 645, 8008, 630, 8993, 269, 476, 274, 320, 1070, 729, 5423, 689, 670, 275, 307, 9573, 303, 263, 295, 273, 264, 543, 16702, 344, 5090, 2643, 321, 617, 27251, 3095, 619, 543, 513, 13058, 263, 2862, 264, 6070, 6321, 269, 9717, 602, 13938, 27251, 3095, 518, 25309, 1769, 14911, 547, 602, 540, 519, 27427, 303, 263, 313, 333, 264, 630, 984, 22633, 3842, 606, 538, 2198, 12669, 566, 602, 7018, 1282, 519, 17834, 293, 10282, 1070, 519, 645, 8008, 17834, 293, 729, 2966, 547, 3382, 513, 2647, 2039, 540, 519, 7298, 8552, 269, 2060, 513, 1804, 19706, 16937, 1063, 519, 12998, 540, 519, 16702, 344, 5090, 2643, 321, 617, 27251, 543, 519, 10338, 540, 519, 27427, 303, 263, 313, 333, 1070, 519, 645, 8008, 17834, 293, 729, 4397, 547, 1397, 1193, 583, 3562, 268, 1598, 583, 2037, 307, 269, 1280, 713, 2601, 267, 29835, 540, 519, 13938, 27251, 5057, 693, 476, 26392, 16354, 1705, 711, 3132, 922, 8984, 12998, 693, 476, 276, 3445, 16354, 282, 3079, 267, 606, 12998, 5365, 693, 476, 277, 3583, 16354, 729, 4767, 689, 519, 27427, 303, 263, 313, 333, 264, 630, 8993, 269, 476, 274, 322, 1040, 634, 7222, 29835, 26034, 267, 585, 27427, 303, 263, 313, 333, 264, 12998, 2625, 539, 693, 476, 277, 3583, 16354, 267, 4951, 513, 13938, 27251, 9295, 17729, 693, 476, 26392, 16354, 269, 589, 1852, 4603, 609, 645, 15477, 17834, 293, 267, 1141, 27427, 303, 263, 313, 333, 264, 729, 8719, 609, 513, 15067, 7806, 22241, 27427, 289, 1193, 583, 630, 307, 9573, 289, 815, 476, 272, 267, 273, 267, 275, 267, 276, 2389, 564, 21531, 529, 263, 275, 21307, 7901, 2988, 1156, 2643, 264, 17754, 345, 2940, 609, 513, 1804, 9804, 6512, 326, 777, 1070, 4951, 513, 2312, 13938, 27251, 2861, 12998, 693, 476, 276, 3445, 16354, 269, 901, 1353, 30833, 519, 1193, 583, 5025, 547, 1193, 583, 5174, 2037, 307, 1184, 1369, 519, 26543, 17834, 293, 1062, 563, 4415, 519, 3617, 12972, 540, 519, 533, 6973, 10455, 514, 3095, 619, 267, 670, 6269, 543, 1071, 22086, 619, 4951, 602, 519, 2037, 307, 4398, 666, 581, 513, 1599, 540, 3095, 518, 5907, 15340, 6913, 676, 19249, 519, 6708, 540, 12631, 268, 17788, 566, 269, 5565, 10850, 267, 674, 5336, 29996, 543, 21096, 5336, 29996, 267, 941, 9112, 689, 16702, 344, 5090, 2643, 1602, 874, 10455, 1231, 22225, 609, 8795, 17788, 566, 3259, 543, 31626, 6874, 9573, 289, 31784, 20253, 1564, 6872, 269, 634, 2802, 344, 928, 268, 601, 1987, 730, 16702, 344, 5090, 2643, 3095, 518, 667, 13695, 291, 7968, 303, 263, 313, 333, 264, 630, 7894, 344, 291, 7968, 303, 263, 313, 333, 264, 815, 1496, 276, 267, 1428, 26817, 263, 275, 1790, 344, 5090, 2643, 659, 25485, 9984, 1015, 267, 736, 1673, 760, 1156, 2643, 316, 1602, 874, 10455, 514, 1070, 849, 20922, 607, 21096, 19053, 333, 303, 267, 19299, 2362, 14251, 1807, 4222, 585, 922, 9803, 1648, 1627, 343, 23402, 5912, 602, 8507, 538, 2362, 3852, 502, 630, 8993, 269, 476, 274, 325, 264, 3379, 547, 519, 1447, 17788, 730, 667, 13695, 303, 17025, 263, 313, 333, 264, 3095, 518, 630, 7894, 344, 303, 17025, 263, 313, 333, 264, 815, 1496, 276, 267, 1428, 1673, 27251, 5090, 2643, 268, 1015, 267, 736, 1532, 529, 9638, 550, 2378, 1663, 528, 641, 1156, 2643, 13580, 1602, 874, 10455, 514, 282, 8431, 269, 476, 272, 1040, 19196, 527, 517, 9194, 543, 519, 7222, 2037, 307, 3157, 941, 2625, 539, 3842, 606, 28659, 844, 523, 4221, 4603, 1210, 7510, 5090, 2643, 7542, 10635, 2940, 630, 293, 322, 13695, 264, 607, 519, 2699, 2135, 844, 523, 7815, 8704, 693, 519, 13058, 4609, 540, 519, 533, 6973, 10455, 1231, 269, 634, 9757, 12998, 14556, 885, 267, 9916, 676, 513, 590, 1181, 1700, 14157, 1067, 1935, 1996, 519, 674, 322, 13695, 270, 1602, 874, 10455, 514, 5223, 267, 3177, 2300, 527, 517, 5577, 4771, 14290, 630, 8993, 269, 476, 274, 323, 2567, 538, 21096, 5336, 29996, 267, 513, 2584, 4094, 23306, 2300, 527, 517, 666, 3643, 1309, 476, 3445, 533, 6973, 10455, 514, 1193, 7491, 630, 328, 4318, 1421, 6207, 12761, 9625, 3393, 1193, 7491, 264, 1369, 922, 10715, 269, 3245, 519, 7229, 5907, 23993, 21635, 2059, 519, 1114, 16358, 4919, 8846, 267, 519, 606, 529, 32430, 2300, 527, 517, 9194, 729, 3964, 269, 901, 4183, 729, 1336, 547, 581, 23289, 8200, 1765, 3698, 1441, 676, 519, 20125, 630, 29951, 8809, 264, 954, 268, 1602, 874, 10455, 514, 3845, 269, 634, 1034, 21483, 630, 349, 4649, 8472, 2300, 527, 517, 5577, 4771, 729, 6059, 2059, 519, 9474, 630, 8993, 269, 476, 274, 321, 264, 4287, 609, 513, 3980, 376, 4343, 16354, 12761, 267, 1141, 519, 13074, 2009, 12761, 630, 349, 6812, 16354, 264, 2059, 519, 589, 292, 4287, 814, 1152, 3980, 376, 2641, 260, 5506, 269, 901, 21722, 1353, 4951, 602, 606, 3608, 4287, 531, 2037, 307, 568, 2009, 538, 7636, 10198, 856, 540, 519, 3940, 27995, 2067, 1769, 3620, 541, 4034, 532, 19215, 1062, 540, 13662, 16927, 270, 2862, 563, 8256, 18790, 16854, 13120, 538, 6289, 739, 19099, 1904, 29741, 3055, 2326, 267, 3226, 4496, 1700, 577, 531, 322, 4094, 1938, 267, 3209, 29528, 5473, 17834, 293, 723, 1044, 2919, 585, 1769, 16276, 269, 1452, 6289, 739, 23461, 267, 971, 607, 595, 323, 5353, 268, 543, 31626, 306, 2861, 7061, 15956, 630, 304, 17762, 1070, 616, 20749, 3015, 543, 4865, 513, 3376, 13093, 517, 2275, 537, 9482, 10338, 543, 7522, 12998, 13164, 269, 4014, 519, 1808, 4726, 696, 8481, 540, 971, 1627, 17762, 616, 711, 607, 1164, 607, 519, 7636, 32234, 630, 1993, 519, 1482, 7636, 2527, 1070, 741, 4852, 24312, 3015, 2450, 17466, 5907, 13289, 616, 10694, 543, 666, 581, 23699, 547, 19820, 519, 5360, 21747, 10338, 630, 778, 773, 1324, 1732, 3795, 540, 519, 3859, 8552, 264, 543, 519, 12998, 13164, 2215, 539, 585, 2037, 307, 547, 519, 17834, 22661, 269, 670, 6269, 779, 1895, 5423, 1627, 291, 5336, 302, 22661, 29528, 1759, 593, 741, 21096, 5336, 29996, 543, 674, 5336, 29996, 4649, 269, 1306, 5941, 1657, 267, 1813, 547, 606, 2799, 17788, 566, 519, 590, 648, 339, 6512, 540, 519, 667, 13695, 291, 7968, 303, 263, 313, 333, 264, 568, 556, 1091, 327, 26661, 543, 3976, 29835, 693, 476, 6110, 16354, 1281, 711, 3132, 1022, 521, 14184, 533, 6973, 10455, 514, 2861, 12998, 269, 1717, 267, 513, 1627, 291, 30663, 270, 6395, 5336, 29996, 10316, 17820, 533, 6973, 10455, 514, 12998, 693, 476, 27151, 16354, 630, 8993, 269, 476, 274, 324, 264, 2390, 1627, 291, 29835, 693, 476, 6110, 16354, 269, 769, 4334, 267, 1627, 291, 20862, 270, 6395, 5336, 29996, 10316, 17820, 513, 4057, 533, 6973, 10455, 514, 12998, 607, 519, 476, 30663, 16354, 12998, 9043, 540, 519, 1627, 291, 30663, 8604, 547, 1683, 513, 1732, 3852, 502, 630, 22474, 519, 1627, 291, 20862, 12998, 264, 547, 4483, 922, 9599, 15581, 1648, 3842, 1627, 1532, 663, 29835, 540, 519, 21096, 5336, 29996, 269, 634, 1627, 291, 30663, 270, 6395, 5336, 29996, 12432, 10268, 27141, 16276, 693, 513, 15423, 1141, 17834, 293, 1281, 711, 10110, 609, 513, 1164, 630, 4501, 376, 10019, 8472, 2037, 307, 4398, 269, 898, 568, 1271, 547, 4063, 602, 519, 6985, 641, 1817, 545, 1193, 7491, 267, 607, 1134, 607, 519, 31736, 2987, 322, 2734, 730, 6985, 2684, 2803, 610, 6289, 739, 23461, 267, 2291, 538, 606, 9678, 6073, 9319, 30843, 543, 1644, 796, 2224, 995, 630, 324, 3052, 1421, 8143, 264, 9599, 15581, 9178, 3157, 269, 634, 25368, 3135, 10072, 4640, 729, 4481, 7152, 676, 1744, 755, 13960, 543, 1071, 22086, 619, 676, 2625, 532, 519, 2037, 307, 1184, 538, 513, 533, 6973, 10455, 514, 17834, 293, 13147, 10107, 519, 3039, 24638, 3940, 630, 294, 17025, 9984, 1097, 1729, 577, 4435, 536, 6321, 273, 6812, 269, 1306, 971, 267, 519, 476, 275, 31622, 32611, 17754, 345, 2643, 573, 2940, 708, 573, 1794, 22223, 821, 630, 295, 289, 272, 264, 6985, 2684, 648, 602, 568, 4122, 1336, 538, 519, 16061, 1532, 541, 7758, 23555, 540, 717, 17025, 1831, 1875, 15041, 1170, 633, 950, 13939, 856, 540, 519, 5065, 1604, 269, 21452, 267, 950, 8704, 3330, 519, 31626, 268, 1602, 874, 10455, 514, 17834, 293, 21934, 1245, 267, 519, 900, 1170, 633, 2470, 540, 670, 289, 272, 6985, 2684, 648, 729, 17468, 609, 513, 3810, 3608, 674, 3918, 307, 1063, 670, 289, 272, 543, 533, 6973, 10455, 514, 3095, 619, 538, 519, 17834, 293, 269, 5262, 15133, 630, 12061, 1723, 867, 3215, 264, 20206, 1637, 540, 670, 289, 272, 729, 1336, 547, 7520, 606, 8476, 20771, 16937, 1063, 670, 289, 272, 630, 18484, 528, 264, 543, 533, 6973, 10455, 514, 630, 23100, 528, 264, 4611, 513, 1164, 630, 7761, 8472, 2037, 307, 4398, 563, 7712, 519, 954, 577, 668, 641, 1817, 545, 3845, 5222, 519, 808, 267, 674, 3918, 307, 1184, 936, 519, 11105, 533, 6973, 10455, 514, 6106, 666, 581, 1110, 4327, 676, 19249, 519, 954, 331, 9707, 3845, 267, 799, 666, 581, 6913, 3842, 2458, 2355, 532, 513, 476, 274, 291, 10788, 1563, 31784, 20253, 601, 5943, 547, 513, 1079, 8820, 3060, 610, 14577, 519, 4463, 540, 519, 30361, 269, 1280, 971, 513, 1353, 267, 717, 657, 342, 9564, 1696, 620, 269, 9112, 27427, 303, 263, 313, 333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14169, 2495, 1353, 540, 519, 2497, 540, 7103, 543, 17550, 2495, 519, 1353, 540, 2834, 6127, 267, 543, 741, 4205, 602, 1599, 1369, 513, 2713, 1062, 269, 476, 1001, 278, 268, 5881, 268, 1556, 454, 24357, 5735, 568, 519, 1353, 540, 2713, 1949, 543, 741, 1599, 1369, 519, 1480, 1560, 3622, 269, 901, 2882, 519, 7998, 543, 6323, 540, 519, 3889, 540, 519, 1560, 779, 2168, 3889, 563, 289, 3711, 7702, 6006, 27048, 2232, 454, 338, 321, 629, 10240, 18033, 333, 818, 321, 1115, 331, 7238, 338, 454, 332, 652, 1696, 529, 6390, 535, 7238, 4958, 698, 521, 591, 15607, 454, 7491, 330, 337, 3424, 588, 6758, 321, 9560, 1774, 8208, 575, 7238, 974, 321, 3073, 454, 763, 1353, 540, 17550, 4386, 693, 1082, 2157, 267, 1519, 7103, 267, 1418, 1949, 267, 8219, 267, 2281, 267, 543, 8790, 26163, 269, 25665, 27180, 519, 3157, 543, 6127, 602, 1450, 513, 2713, 3364, 547, 7639, 267, 1332, 267, 543, 1020, 269, 5851, 23980, 568, 519, 5826, 540, 519, 2949, 6617, 540, 12214, 3157, 540, 519, 1560, 563, 6701, 596, 19832, 676, 519, 2497, 540, 2713, 1919, 543, 875, 519, 1480, 1560, 1568, 286, 1403, 865, 596, 949, 581, 5461, 538, 513, 24118, 2257, 4110, 538, 2901, 17550, 610, 14169, 267, 4352, 6030, 2356, 723, 513, 3575, 540, 1312, 3584, 269, 25665, 634, 2832, 540, 519, 1576, 568, 602, 519, 2875, 1058, 10536, 1702, 540, 519, 1480, 14169, 543, 17550, 547, 581, 2111, 547, 1544, 543, 2936, 8808, 1759, 593, 3399, 4201, 4379, 476, 1708, 272, 282, 25042, 540, 1353, 20028, 282, 5678, 16528, 282, 6092, 3009, 11022, 16598, 293, 272, 634, 1576, 849, 2882, 8047, 7886, 593, 2596, 12214, 1285, 631, 1280, 928, 5788, 476, 1001, 273, 5788, 595, 3438, 520, 1285, 476, 272, 2443, 2290, 12214, 1382, 1505, 568, 5941, 538, 811, 1469, 267, 1775, 4318, 269, 519, 6482, 540, 20194, 2450, 267, 610, 7782, 650, 5852, 563, 312, 337, 1088, 522, 521, 557, 1777, 940, 541, 454, 6798, 860, 7416, 20369, 330, 860, 328, 1917, 516, 653, 454, 268, 20917, 1236, 8403, 547, 1194, 334, 454, 268, 29775, 2378, 6216, 6199, 575, 1638, 4944, 18033, 978, 1902, 454, 268, 853, 6758, 321, 9560, 1774, 8208, 579, 1889, 18033, 642, 7564, 1597, 3331, 370, 653, 9116, 3187, 454, 268, 10060, 321, 15085, 2816, 6609, 454, 268, 1530, 321, 20789, 335, 2378, 4637, 581, 342, 1068, 2426, 454, 268, 681, 6504, 31830, 2378, 26856, 2138, 521, 591, 15607, 454, 268, 674, 582, 758, 2720, 518, 575, 1774, 321, 3073, 454, 268, 631, 341, 322, 575, 1638, 332, 1513, 17839, 454, 268, 12157, 698, 529, 1359, 1285, 7329, 8527, 1206, 325, 7238, 516, 940, 541, 454, 299, 296, 16576, 3041, 521, 12728, 382, 370, 330, 940, 281, 14362, 540, 14169, 543, 17550, 32202, 7702, 267, 15168, 731, 808, 563, 21357, 17550, 10039, 2596, 3741, 689, 7998, 267, 6323, 267, 543, 7350, 547, 519, 1353, 540, 1480, 1272, 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 ]
[ 0, 1607, 1650, 5526, 538, 519, 12096, 270, 310, 5793, 476, 1001, 274, 3390, 540, 631, 1149, 12139, 563, 20245, 2257, 543, 4702, 10927, 2875, 8210, 514, 29484, 568, 2324, 593, 606, 4830, 1353, 609, 3540, 543, 2825, 4702, 20485, 3220, 269, 570, 345, 1695, 328, 6869, 543, 3220, 269, 3212, 328, 2473, 340, 593, 3384, 1942, 15807, 543, 13476, 3280, 4066, 547, 2333, 519, 2298, 540, 1216, 689, 1216, 3653, 563, 14071, 616, 3843, 547, 946, 3653, 12535, 689, 835, 1216, 2126, 1184, 547, 1521, 1776, 6908, 602, 1522, 581, 1031, 6225, 569, 2223, 6869, 1767, 563, 10468, 559, 568, 9236, 519, 8851, 31931, 540, 1114, 2010, 540, 31993, 543, 10442, 519, 1761, 585, 18117, 1670, 17694, 547, 682, 778, 689, 519, 31993, 547, 519, 5701, 1216, 269, 634, 1895, 814, 6394, 5439, 689, 13642, 25530, 4826, 9615, 7233, 267, 4432, 17131, 334, 4826, 7780, 1988, 543, 824, 6704, 1216, 2126, 2371, 269, 29484, 3096, 519, 16501, 6490, 1962, 2033, 674, 2830, 1674, 6396, 547, 1449, 5714, 5439, 585, 18117, 1670, 12526, 563, 14071, 723, 2938, 9621, 23455, 1632, 2164, 543, 2503, 547, 1732, 1174, 519, 23250, 540, 556, 268, 6748, 713, 1216, 2223, 29484, 1767, 563, 763, 1788, 568, 851, 540, 513, 1804, 4674, 609, 634, 2817, 3163, 7690, 7177, 3194, 4741, 5358, 267, 1234, 26214, 310, 527, 7177, 3194, 4741, 269, 898, 568, 851, 540, 513, 10319, 1353, 1851, 631, 1149, 267, 1715, 6792, 3557, 2160, 543, 519, 4853, 7649, 267, 4432, 17131, 334, 4826, 7780, 1988, 563, 763, 3173, 946, 31993, 689, 6704, 1216, 2126, 2371, 547, 1521, 9258, 23015, 2670, 630, 4629, 264, 3653, 269, 21614, 3653, 568, 1500, 540, 13671, 1490, 710, 267, 799, 3568, 6886, 267, 1418, 923, 543, 8407, 602, 616, 15653, 676, 519, 21614, 17011, 269, 6164, 532, 713, 13404, 1223, 1683, 3606, 1216, 7727, 547, 519, 1857, 267, 543, 2569, 519, 2825, 5222, 689, 17579, 532, 13404, 17078, 523, 609, 6070, 543, 6757, 5230, 8407, 563, 2108, 21675, 540, 9258, 23015, 2670, 13404, 666, 6460, 519, 3653, 6908, 547, 3606, 1216, 585, 6225, 946, 267, 971, 607, 12555, 267, 602, 568, 6382, 17077, 538, 25545, 16374, 2223, 2473, 340, 1767, 269, 968, 7230, 15772, 540, 6757, 17694, 689, 21614, 13404, 786, 1450, 6225, 946, 540, 519, 1216, 543, 4027, 540, 1604, 3034, 7212, 1896, 12871, 2409, 616, 2139, 267, 789, 666, 581, 2404, 609, 1164, 4393, 3790, 267, 28653, 676, 28498, 267, 2825, 5222, 543, 824, 7687, 563, 17606, 666, 581, 513, 4161, 609, 2463, 547, 6042, 602, 3295, 2620, 1134, 13297, 2223, 29484, 1767, 269, 968, 2005, 666, 581, 7199, 547, 26565, 540, 602, 13404, 3034, 298, 987, 22220, 18200, 517, 267, 18058, 18509, 13541, 1315, 476, 24062, 268, 24129, 268, 28143, 279, 1315, 918, 300, 677, 517, 287, 332, 1149, 12975, 454, 298, 13873, 31408, 267, 10615, 540, 5398, 9534, 1315, 476, 24062, 268, 24129, 268, 30500, 272, 1315, 918, 294, 559, 6975, 287, 332, 1149, 12975, 454, 12867, 693, 12548, 3427, 540, 631, 1149, 3576, 6765, 540, 519, 1158, 779, 1101, 2983, 1278, 6193, 23556, 8426, 630, 294, 15598, 264, 593, 4119, 269, 476, 276, 267, 476, 1001, 274, 563, 5327, 11220, 543, 3710, 676, 5548, 12978, 267, 2212, 32483, 1229, 538, 29157, 3122, 267, 12924, 267, 585, 594, 7968, 5303, 267, 540, 26436, 267, 2051, 334, 1421, 519, 717, 15598, 786, 7561, 5352, 476, 275, 269, 276, 737, 310, 540, 5201, 689, 2067, 3154, 4492, 563, 21132, 1483, 1871, 6013, 538, 519, 3002, 602, 621, 5391, 518, 919, 1247, 10451, 713, 5201, 4534, 3744, 543, 8030, 3343, 547, 10244, 713, 3002, 547, 9156, 23349, 3282, 269, 901, 5201, 2501, 607, 513, 3730, 543, 3407, 676, 28237, 540, 519, 3282, 3146, 11734, 1184, 563, 1103, 11450, 609, 594, 7968, 5303, 543, 5548, 12978, 267, 1053, 267, 8030, 267, 543, 12200, 786, 21656, 519, 8143, 543, 5122, 2773, 540, 519, 2520, 1278, 6193, 4492, 1591, 693, 519, 12548, 23556, 8426, 4741, 8047, 593, 519, 631, 1149, 13464, 563, 763, 4396, 268, 6448, 4492, 2281, 26437, 1369, 519, 717, 15598, 7500, 693, 1164, 2837, 630, 333, 22022, 476, 16020, 2485, 374, 290, 264, 547, 6460, 2067, 3154, 883, 5201, 543, 3002, 269, 1879, 8045, 267, 13421, 540, 717, 293, 12336, 786, 581, 5116, 883, 519, 3618, 1369, 3282, 32549, 21272, 585, 3282, 6051, 269, 717, 293, 12336, 1459, 513, 5732, 13710, 2029, 585, 17034, 519, 1158, 779, 5318, 3282, 6879, 1446, 14425, 267, 799, 616, 6059, 693, 476, 275, 269, 279, 18265, 29054, 5001, 267, 538, 606, 13476, 3743, 6073, 563, 22154, 27352, 14102, 1382, 543, 1646, 1788, 11573, 1137, 519, 2250, 9541, 538, 5989, 1500, 676, 12548, 3427, 540, 631, 1149, 543, 5313, 8041, 538, 519, 12548, 23556, 8426, 4741, 269, 6270, 6280, 11897, 12009, 12352, 616, 1455, 693, 631, 1149, 267, 543, 1711, 2189, 1565, 2833, 585, 1312, 938, 1053, 543, 12200, 267, 1247, 16460, 1271, 2055, 6849, 938, 4853, 4891, 538, 8744, 971, 4066, 547, 2344, 2223, 1767, 3220, 269, 3026, 531, 590, 29229, 267, 631, 1149, 12314, 7548, 540, 7344, 4702, 563, 2414, 1451, 811, 827, 2520, 1278, 6193, 4492, 2281, 267, 3643, 519, 594, 7968, 16370, 3896, 281, 5291, 2517, 4178, 269, 773, 10975, 2593, 13045, 9596, 811, 827, 519, 12548, 23556, 8426, 4741, 693, 8940, 269, 10233, 611, 1993, 3241, 3250, 22487, 3820, 563, 1103, 519, 4099, 540, 513, 2312, 5068, 8685, 267, 1507, 7725, 4646, 513, 544, 895, 269, 2060, 15795, 17603, 10356, 1472, 519, 8685, 267, 10370, 526, 8124, 19159, 23953, 3579, 1216, 936, 519, 4224, 544, 895, 269, 8921, 1352, 533, 12097, 1507, 9475, 538, 513, 1957, 7484, 267, 2322, 930, 4544, 1426, 7801, 538, 519, 5377, 267, 543, 1305, 519, 7484, 538, 519, 7944, 540, 519, 8685, 269, 16797, 569, 1352, 23953, 3905, 1216, 883, 519, 7484, 269, 1656, 519, 1053, 4767, 269, 3973, 789, 3893, 741, 1378, 8685, 338, 543, 7727, 547, 9258, 519, 4603, 609, 3636, 1216, 936, 519, 4224, 544, 895, 543, 4411, 1216, 538, 519, 7484, 269, 1358, 4767, 267, 3379, 543, 5941, 519, 6901, 563, 288, 1837, 1223, 723, 3177, 606, 7778, 540, 875, 10239, 1860, 2916, 267, 855, 713, 729, 7317, 269, 901, 729, 1187, 563, 310, 2431, 568, 13197, 513, 4487, 779, 4110, 538, 4294, 6128, 693, 631, 1149, 269, 2701, 568, 5059, 593, 513, 10230, 1505, 585, 6061, 7313, 24480, 779, 17817, 585, 1200, 1382, 1788, 269, 1656, 1352, 849, 3081, 1352, 15055, 3257, 968, 1676, 11276, 4245, 609, 3214, 1848, 7831, 1032, 267, 14102, 676, 519, 22085, 293, 779, 717, 298, 268, 1321, 4804, 16890, 4721, 9886, 267, 19159, 5249, 609, 513, 1647, 1153, 2257, 543, 2979, 4116, 269, 901, 1032, 267, 14102, 676, 519, 590, 6185, 269, 2142, 19816, 601, 267, 12789, 269, 7690, 267, 1352, 568, 2324, 609, 513, 9656, 4116, 547, 2285, 1453, 606, 2038, 4367, 547, 2257, 267, 2029, 267, 4702, 543, 2979, 630, 23727, 1916, 298, 11481, 700, 1495, 560, 668, 568, 513, 4487, 779, 2875, 538, 4294, 7194, 269, 4173, 1382, 568, 1644, 547, 4879, 538, 2069, 267, 4481, 609, 519, 2142, 19816, 601, 19541, 267, 543, 1352, 1568, 609, 631, 1149, 7905, 22526, 17018, 32039, 593, 12570, 1239, 689, 519, 1982, 269, 1280, 519, 2250, 1032, 543, 513, 3368, 267, 1352, 5249, 538, 606, 10026, 1153, 4928, 1141, 835, 540, 1200, 5172, 4245, 729, 513, 986, 529, 514, 5198, 267, 3450, 1053, 602, 2339, 6818, 607, 17571, 267, 15559, 543, 9362, 543, 666, 1689, 689, 835, 1533, 547, 1776, 676, 8022, 543, 9023, 269, 2701, 849, 1071, 268, 3757, 606, 1310, 17469, 2257, 8630, 1141, 1053, 6192, 4702, 1374, 3785, 269, 968, 7069, 5172, 851, 729, 7487, 875, 9599, 519, 1053, 3893, 1169, 942, 594, 4843, 1945, 3579, 1644, 547, 13241, 2223, 1767, 700, 1495, 560, 668, 563, 293, 24962, 676, 14828, 689, 519, 2142, 19816, 601, 7690, 543, 519, 2817, 3163, 7690, 630, 10064, 293, 1070, 9656, 998, 21632, 3446, 3610, 267, 631, 1149, 12200, 543, 631, 1149, 10927, 1053, 960, 1927, 547, 1020, 1966, 19721, 267, 15834, 1565, 2833, 585, 918, 268, 279, 1053, 538, 17566, 6019, 10588, 476, 2004, 267, 17566, 6019, 10588, 476, 1321, 267, 28631, 5398, 12140, 543, 1621, 548, 6229, 12140, 269, 631, 1149, 5012, 513, 1079, 22173, 4832, 13186, 5059, 593, 6310, 267, 3621, 543, 4702, 1543, 267, 607, 1134, 607, 14292, 2553, 267, 585, 519, 3610, 543, 10927, 1053, 269, 3973, 2429, 519, 1739, 1153, 1032, 267, 519, 10927, 1053, 1683, 6351, 547, 519, 3610, 538, 741, 13460, 563, 2108, 9336, 3018, 10026, 543, 1647, 1153, 1053, 2170, 609, 631, 1149, 1053, 1107, 1390, 1909, 3631, 945, 899, 2257, 543, 2979, 543, 1616, 547, 960, 538, 513, 13241, 2361, 2223, 1767, 17018, 32039, 267, 945, 1463, 338, 519, 7066, 325, 5500, 4659, 543, 519, 4741, 585, 10495, 540, 3163, 267, 5303, 267, 7177, 543, 9119, 693, 631, 1149, 269, 4173, 1382, 1895, 12116, 519, 7145, 540, 4540, 543, 1007, 13241, 3292, 543, 12134, 281, 1215, 798, 596, 7001, 519, 1764, 540, 23793, 3292, 593, 1053, 685, 1565, 543, 8456, 888, 3080, 3364, 17018, 32039, 814, 4121, 568, 1053, 1616, 547, 1294, 519, 28252, 540, 13241, 5396, 269, 1358, 616, 12592, 950, 789, 8275, 875, 13241, 666, 4324, 741, 2729, 543, 519, 2729, 540, 1866, 269, 1924, 4052, 3156, 616, 606, 1271, 3693, 540, 631, 1149, 685, 13241, 3292, 267, 799, 849, 1331, 519, 24997, 6052, 10049, 3194, 3163, 543, 7177, 4741, 630, 3918, 300, 11965, 4488, 264, 918, 268, 1321, 4065, 4934, 18943, 563, 11045, 9285, 676, 519, 2142, 19816, 601, 7690, 267, 645, 10064, 293, 7690, 267, 661, 7563, 7690, 267, 3345, 14442, 717, 5300, 2006, 267, 22085, 293, 267, 26425, 13813, 7577, 543, 634, 28631, 7690, 267, 713, 1982, 2488, 17566, 6019, 10588, 476, 2004, 543, 824, 3610, 693, 519, 4832, 13186, 609, 2085, 3617, 3992, 4566, 593, 1648, 9238, 267, 3859, 1648, 267, 7250, 543, 1648, 4398, 269, 634, 7177, 3194, 4741, 585, 1234, 24493, 28124, 519, 13780, 779, 12124, 4826, 24486, 693, 631, 1149, 849, 4891, 609, 17566, 6019, 10588, 476, 2004, 547, 948, 3610, 1711, 8903, 4245, 543, 2238, 585, 741, 1053, 1282, 519, 4832, 13186, 563, 763, 1977, 5980, 585, 7177, 4065, 814, 28165, 519, 631, 1149, 3292, 607, 968, 16032, 918, 268, 1321, 16890, 4721, 892, 585, 1079, 15654, 1296, 267, 543, 519, 3292, 616, 3395, 267, 8757, 811, 3610, 543, 1053, 609, 5051, 5499, 267, 4052, 543, 2500, 4485, 547, 13241, 2069, 269, 4419, 532, 519, 13241, 18180, 689, 9656, 547, 4876, 267, 631, 1149, 568, 4543, 519, 4182, 1628, 513, 3810, 9952, 267, 8013, 13781, 563, 30125, 585, 4841, 609, 21619, 21685, 454, 763, 27743, 13738, 8805, 585, 21619, 2716, 923, 568, 631, 1149, 685, 21777, 13241, 7649, 269, 634, 1977, 8447, 5980, 786, 2508, 968, 14399, 609, 24894, 281, 8212, 4934, 18943, 547, 21619, 2716, 545, 4841, 2223, 513, 9886, 6069, 676, 17018, 32039, 543, 30621, 13177, 267, 31087, 11965, 4488, 8689, 269, 1358, 786, 1463, 519, 1646, 543, 6765, 540, 14292, 13838, 538, 6323, 585, 918, 268, 277, 1053, 269, 634, 13838, 267, 5473, 476, 1015, 3108, 540, 3946, 6823, 6323, 4245, 267, 786, 581, 7318, 593, 476, 2412, 1053, 693, 519, 2947, 22173, 4832, 3786, 4371, 538, 4095, 22193, 267, 2051, 334, 563, 2108, 291, 903, 21685, 1281, 711, 10556, 1053, 685, 3621, 543, 4702, 7744, 2223, 6045, 17018, 32039, 269, 968, 1103, 1249, 267, 930, 3173, 3494, 602, 7988, 2716, 545, 1053, 723, 8476, 7207, 538, 2257, 3034, 24836, 9958, 2875, 10370, 526, 8124, 19159, 814, 5280, 538, 519, 2250, 609, 519, 2257, 1770, 540, 519, 3786, 269, 968, 2005, 568, 2731, 1175, 513, 2603, 540, 1187, 2223, 1352, 1767, 269, 968, 2005, 2636, 803, 519, 5191, 547, 798, 519, 3579, 652, 6901, 594, 666, 7654, 1589, 540, 609, 513, 1895, 540, 3214, 945, 22992, 2972, 543, 723, 606, 19038, 3363, 585, 2257, 3034, 3528, 25595, 3026, 742, 454, 20288, 7370, 2066, 519, 13738, 4639, 723, 8854, 10538, 543, 535, 12184, 547, 12457, 269, 4595, 827, 519, 2490, 540, 519, 26992, 267, 519, 7823, 12566, 27134, 779, 14031, 585, 561, 17690, 335, 1961, 814, 7166, 1055, 930, 2185, 2929, 14143, 540, 4054, 538, 12548, 543, 29131, 4805, 269, 2334, 519, 16793, 540, 606, 5521, 519, 2450, 540, 513, 10286, 540, 7573, 666, 3142, 971, 9552, 568, 538, 3294, 513, 4898, 540, 2470, 563, 763, 2242, 979, 2484, 3564, 5920, 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 ]
[ 606, 30175, 1355, 1336, 538, 2571, 27712, 540, 519, 12593, 25672, 13183, 639, 7439, 15605, 13183, 8533, 814, 1044, 3254, 547, 16401, 519, 2530, 540, 5642, 2597, 543, 4222, 538, 8983, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 7439, 15605, 13183, 8533, 5788, 454, 313, 334, 13183, 1749, 630, 4650, 25672, 13183, 7559, 849, 1572, 25672, 13183, 728, 320, 610, 25672, 13183, 514, 3511, 807, 264, 616, 606, 1931, 540, 524, 333, 573, 12579, 4122, 1336, 538, 14147, 18625, 267, 519, 2620, 4262, 543, 1082, 824, 7286, 5054, 1472, 519, 1158, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 25672, 13183, 7559, 5788, 454, 313, 334, 13183, 13160, 568, 513, 1920, 540, 524, 333, 573, 4115, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 25672, 13183, 13160, 5788, 454, 313, 334, 13183, 639, 17254, 656, 639, 568, 513, 18186, 13183, 573, 1101, 4330, 689, 7013, 3567, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 25672, 13183, 639, 17254, 656, 639, 5788, 454, 313, 334, 13183, 639, 737, 1755, 3333, 1470, 568, 513, 18186, 13183, 573, 1101, 4330, 689, 7013, 3567, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 25672, 13183, 639, 737, 1755, 3333, 1470, 5788, 454, 313, 334, 13183, 639, 1914, 9850, 630, 21720, 569, 1634, 607, 519, 3039, 4262, 1319, 610, 7735, 25168, 264, 568, 513, 18186, 13183, 573, 2356, 1336, 538, 13719, 11818, 10851, 540, 9341, 4525, 689, 12144, 547, 25878, 8478, 563, 6124, 8627, 281, 25672, 13183, 639, 543, 25672, 13183, 639, 1914, 9850, 5788, 0, 2710, 2758, 4030, 593, 912, 4692, 4400, 10552, 16242, 20531, 3733, 6181, 338, 1677, 670, 4669, 454, 288, 1973, 2604, 2542, 814, 1079, 2338, 281, 513, 30918, 4301, 1973, 2604, 543, 513, 1019, 770, 4301, 1973, 2604, 269, 634, 30918, 4301, 1973, 2604, 568, 519, 5021, 2604, 519, 1973, 11851, 338, 593, 519, 8043, 950, 519, 2295, 568, 25588, 269, 634, 1019, 770, 4301, 1973, 2604, 568, 519, 2604, 519, 1973, 11851, 338, 593, 519, 8043, 538, 1063, 2295, 2041, 1846, 269, 15214, 11364, 267, 610, 1164, 1973, 2604, 267, 5956, 950, 519, 30918, 4301, 1973, 2604, 3788, 1657, 476, 9610, 610, 950, 519, 1019, 770, 4301, 1973, 2604, 3788, 1657, 476, 3445, 269, 15214, 11364, 666, 581, 513, 1267, 540, 2799, 1973, 2095, 998, 8043, 610, 2799, 4187, 547, 3267, 5649, 811, 454, 10870, 541, 551, 566, 2433, 3213, 541, 551, 566, 540, 519, 513, 677, 320, 568, 513, 22787, 32560, 540, 519, 513, 677, 320, 799, 5012, 547, 1164, 22680, 13220, 538, 519, 7916, 1247, 13302, 1973, 2095, 547, 519, 7953, 543, 666, 2014, 8467, 269, 3267, 5649, 811, 454, 12831, 1742, 281, 19743, 269, 1403, 596, 2811, 17324, 610, 14968, 267, 2597, 2530, 949, 2539, 22680, 269, 8617, 3635, 949, 948, 2539, 22680, 269, 13379, 2530, 568, 4443, 1767, 982, 2944, 267, 2705, 269, 634, 1034, 1463, 543, 8810, 1797, 568, 547, 1491, 22680, 1199, 338, 9497, 21468, 1506, 13630, 839, 1161, 20257, 12287, 958, 267, 594, 1131, 2760, 2322, 1055, 8156, 1164, 22680, 609, 519, 4126, 602, 2597, 2530, 610, 3635, 1522, 1852, 621, 269, 4400, 22680, 3614, 999, 543, 19754, 269, 9105, 707, 2703, 269, 6153, 9939, 256, 3267, 5649, 811, 8450, 476, 275, 811, 4387, 4267, 454, 9989, 333, 1405, 2433, 898, 2356, 3085, 1405, 269, 1403, 596, 723, 555, 18804, 267, 596, 949, 581, 6217, 707, 27555, 13942, 269, 901, 3884, 1405, 607, 4686, 607, 621, 949, 3100, 267, 2094, 519, 25558, 573, 16050, 20133, 558, 1227, 21986, 525, 519, 5642, 602, 8075, 707, 6418, 1274, 269, 1403, 707, 6217, 555, 745, 2011, 568, 4389, 630, 2421, 513, 4411, 267, 1577, 781, 2161, 1070, 1287, 519, 26634, 555, 745, 5642, 568, 21284, 269, 3267, 5649, 811, 454, 8133, 281, 5221, 519, 14401, 616, 711, 8647, 547, 741, 2407, 4390, 547, 1450, 519, 5714, 538, 707, 1560, 547, 9101, 269, 3267, 5649, 811, 454, 21296, 1919, 281, 9839, 5821, 267, 29427, 1202, 340, 11797, 267, 18633, 13487, 2855, 628, 2096, 5362, 630, 629, 7538, 18819, 1070, 25687, 609, 23170, 8710, 267, 5778, 28193, 8710, 267, 6315, 8328, 8710, 267, 543, 1034, 4122, 18024, 269, 898, 5673, 875, 1970, 621, 568, 267, 952, 1970, 3339, 543, 596, 616, 711, 31916, 596, 12582, 1405, 1205, 621, 2362, 269, 9540, 518, 2550, 4043, 547, 723, 2539, 1973, 12503, 607, 513, 2898, 269, 3267, 5649, 811, 454, 1432, 1199, 338, 666, 2014, 1970, 1973, 2604, 286, 4692, 533, 1149, 565, 543, 31828, 1314, 543, 6885, 15777, 2014, 1970, 1973, 2604, 286, 1548, 666, 594, 798, 585, 1970, 1973, 2604, 888, 20181, 22680, 281, 476, 1839, 674, 689, 11404, 269, 12134, 281, 1432, 1199, 338, 666, 2014, 1970, 1973, 2604, 286, 4692, 533, 1149, 565, 543, 31828, 1314, 543, 6885, 15777, 2014, 1970, 1973, 2604, 286, 1548, 666, 594, 798, 585, 1970, 1973, 2604, 286, 23177, 281, 589, 1360, 1804, 1297, 540, 1199, 338, 666, 2014, 1970, 22680, 269, 1924, 2995, 803, 519, 3283, 596, 616, 835, 543, 594, 666, 2995, 596, 269, 1306, 2484, 607, 519, 7738, 8069, 282, 9811, 952, 772, 4418, 730, 513, 2603, 1247, 1210, 873, 713, 666, 2014, 1970, 22680, 269, 700, 1115, 798, 476, 273, 526, 6644, 5077, 547, 948, 3267, 5649, 811, 454, 8133, 281, 11109, 1164, 1973, 2604, 666, 581, 2404, 609, 2799, 8417, 547, 6070, 269, 4634, 1360, 1507, 2242, 538, 707, 6070, 6981, 666, 1291, 547, 2799, 30046, 269, 17968, 267, 930, 1973, 2604, 6527, 666, 2014, 11926, 630, 24335, 341, 2444, 264, 610, 972, 1223, 581, 513, 1966, 609, 707, 15532, 538, 519, 7953, 610, 707, 2295, 4929, 519, 11926, 269, 7102, 5503, 596, 723, 6727, 2242, 538, 11926, 596, 1058, 581, 13761, 269, 3267, 5649, 811, 454, 26108, 2604, 568, 513, 6482, 540, 519, 3196, 5116, 593, 519, 1973, 8043, 543, 568, 16922, 540, 519, 834, 1910, 560, 4301, 257, 2604, 630, 1492, 1283, 1297, 593, 513, 1973, 2604, 11281, 264, 799, 568, 519, 8445, 2604, 950, 519, 2295, 568, 23028, 267, 543, 519, 834, 10972, 770, 4301, 257, 2604, 630, 1492, 5377, 1297, 593, 513, 1973, 2604, 11281, 264, 799, 568, 519, 2604, 1282, 519, 16889, 5123, 3267, 5649, 811, 454, 11947, 10552, 16242, 630, 29730, 11364, 264, 630, 14240, 994, 9827, 1634, 607, 13119, 267, 1164, 1973, 2604, 568, 513, 2783, 602, 4386, 950, 1973, 2604, 568, 476, 9610, 270, 3445, 610, 2362, 269, 1715, 518, 7840, 1533, 602, 3152, 982, 476, 9873, 270, 3199, 1058, 581, 2808, 1164, 1973, 2604, 269, 3267, 5649, 811, 454, 268, 13185, 547, 513, 4387, 2661, 2228, 585, 1863, 454, 268, 1403, 1250, 1973, 2604, 568, 1164, 666, 1775, 3635, 454, 268, 4400, 1973, 2604, 538, 7953, 454, 268, 2052, 2295, 2042, 2014, 1164, 1973, 2604, 888, 268, 9105, 513, 4387, 513, 2243, 1863, 2228, 454, 268, 2052, 6797, 2042, 2014, 1164, 1973, 2604, 888, 268, 2052, 513, 11784, 4323, 2014, 1164, 1973, 2604, 888, 268, 2052, 4827, 518, 559, 2014, 1164, 1973, 2604, 888, 268, 2052, 20750, 777, 549, 2014, 1164, 1973, 2604, 888, 268, 13185, 547, 513, 6315, 6048, 2228, 0, 297, 17132, 3767, 32672, 1023, 1412, 15124, 12019, 20128, 262, 538, 14562, 4380, 1877, 454, 763, 3579, 4158, 15429, 21018, 909, 547, 476, 2190, 267, 1822, 5998, 2066, 543, 476, 1321, 267, 1822, 5998, 2647, 267, 543, 621, 568, 538, 519, 3154, 9649, 781, 6094, 1164, 268, 5306, 3363, 5687, 14459, 799, 568, 1454, 16830, 982, 519, 4478, 5790, 563, 262, 15124, 12019, 20128, 262, 814, 1044, 4362, 593, 18347, 799, 568, 2813, 676, 519, 3532, 19367, 25116, 676, 519, 4541, 781, 8701, 28050, 528, 2801, 269, 630, 15862, 281, 8331, 994, 297, 17132, 568, 1655, 1634, 585, 519, 4279, 4414, 20128, 267, 513, 1279, 24331, 7088, 10199, 519, 8006, 540, 3047, 269, 1809, 19936, 723, 1631, 4362, 1776, 971, 4279, 20128, 267, 29805, 1412, 15124, 12019, 20128, 3299, 2813, 676, 519, 3532, 19367, 25116, 676, 519, 1390, 4541, 781, 8701, 28050, 528, 2801, 563, 763, 3579, 4158, 15429, 21018, 909, 547, 476, 2190, 267, 1822, 5998, 2066, 543, 476, 1321, 267, 1822, 5998, 2647, 267, 543, 621, 568, 538, 519, 3154, 9649, 781, 6094, 1164, 268, 5306, 3363, 5687, 14459, 799, 568, 1454, 16830, 982, 519, 4478, 5790, 267, 1767, 513, 1353, 538, 519, 2983, 26491, 3194, 16707, 563, 21893, 568, 519, 1101, 942, 1022, 4365, 4183, 538, 18347, 781, 5580, 5790, 814, 1044, 4767, 2476, 689, 519, 4541, 781, 6505, 28050, 528, 2801, 2437, 1767, 1291, 2278, 540, 519, 1353, 8751, 853, 718, 731, 267, 21133, 7905, 538, 4643, 8767, 18395, 693, 519, 2160, 540, 2274, 1182, 614, 538, 6628, 563, 763, 7613, 267, 1152, 5063, 4767, 267, 949, 723, 11478, 585, 5215, 540, 1296, 563, 10454, 4279, 12019, 20128, 568, 1454, 811, 19979, 982, 519, 7444, 4657, 4279, 4414, 20128, 267, 4657, 13497, 538, 3337, 543, 2450, 936, 1152, 513, 1906, 2395, 543, 4374, 267, 855, 621, 814, 556, 22190, 18193, 585, 607, 1279, 607, 649, 723, 1239, 547, 3406, 585, 621, 267, 585, 936, 476, 1428, 1296, 2437, 853, 718, 731, 1767, 563, 257, 6546, 5267, 602, 621, 16111, 15024, 3294, 267, 543, 607, 513, 1267, 267, 621, 1522, 581, 607, 2025, 607, 519, 28050, 528, 2801, 602, 1106, 621, 910, 5310, 1082, 5215, 540, 1296, 2025, 2437, 853, 718, 731, 3773, 563, 763, 4279, 12019, 20128, 729, 1101, 4362, 593, 18347, 1210, 7422, 3144, 540, 18347, 781, 28050, 7394, 3148, 676, 519, 595, 6020, 305, 2464, 6293, 593, 3864, 8828, 25076, 781, 15020, 14066, 23571, 538, 16266, 563, 763, 3173, 1287, 3379, 519, 1239, 609, 5215, 540, 2592, 689, 8331, 781, 5606, 571, 16446, 23571, 11120, 1006, 538, 16127, 563, 763, 2079, 9672, 519, 4527, 540, 519, 4279, 12019, 20128, 563, 9827, 1224, 281, 28932, 2426, 30982, 590, 279, 2776, 268, 7451, 1401, 3865, 590, 278, 781, 454, 27775, 2105, 1280, 1411, 454, 268, 595, 19897, 27355, 1406, 1323, 16727, 22505, 267, 3973, 4208, 5269, 898, 2290, 888, 268, 5164, 520, 918, 2129, 2993, 25547, 1161, 519, 2776, 560, 16406, 918, 3559, 13158, 3534, 13815, 454, 268, 8262, 326, 645, 1601, 476, 1321, 4303, 476, 280, 18838, 5455, 30098, 281, 4208, 918, 761, 328, 932, 846, 12213, 752, 3683, 1744, 643, 1662, 880, 454, 268, 8331, 781, 10790, 309, 2894, 29485, 476, 275, 13012, 538, 9370, 2107, 4226, 2060, 8682, 773, 454, 268, 1715, 1234, 345, 7079, 328, 26653, 2473, 29247, 12652, 476, 736, 15867, 516, 568, 634, 31597, 590, 10013, 2334, 1411, 2052, 17451, 16179, 0, 299, 3869, 9612, 8018, 454, 8196, 713, 4976, 547, 1491, 4967, 827, 519, 4930, 596, 1265, 950, 15388, 585, 10432, 476, 273, 12143, 476, 272, 281, 2160, 7732, 9612, 269, 19130, 856, 1142, 3296, 540, 519, 7515, 585, 9137, 476, 272, 543, 9137, 476, 273, 269, 1411, 666, 849, 4688, 513, 10145, 5299, 540, 713, 4976, 543, 946, 621, 547, 5265, 13712, 707, 2959, 950, 596, 2328, 1382, 4574, 585, 707, 2104, 6030, 563, 18871, 732, 518, 4112, 1819, 1923, 290, 2734, 622, 5800, 12859, 5004, 1923, 1923, 12041, 1923, 28061, 715, 2089, 320, 267, 308, 331, 5341, 623, 573, 684, 267, 19604, 12245, 11676, 1676, 1923, 1923, 17413, 3370, 1923, 8734, 476, 1001, 272, 1923, 1923, 17138, 540, 2376, 1923, 23654, 5800, 12859, 5004, 281, 2561, 24597, 9050, 5463, 3547, 540, 14288, 3194, 1923, 1923, 17138, 540, 22910, 270, 22711, 270, 1923, 9142, 540, 5004, 21126, 1923, 1923, 300, 698, 8872, 1923, 1923, 1923, 24127, 270, 24629, 540, 8313, 630, 604, 1923, 14157, 269, 476, 1839, 17136, 476, 275, 1923, 1923, 19989, 264, 1923, 1923, 1923, 14630, 596, 27366, 2376, 689, 1923, 274, 270, 1321, 270, 1001, 274, 1923, 1923, 323, 520, 15390, 1923, 1923, 1923, 23087, 540, 2376, 1923, 293, 1168, 2101, 14078, 616, 2582, 1870, 9988, 282, 2864, 267, 789, 616, 3906, 602, 1923, 1923, 1923, 339, 13759, 1082, 1587, 27360, 564, 10659, 269, 4014, 24243, 814, 3254, 1390, 1719, 538, 1923, 1923, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1053, 786, 991, 5111, 2947, 476, 2412, 18826, 1362, 7886, 543, 5111, 476, 1789, 3764, 3544, 540, 1362, 547, 2347, 713, 1788, 563, 268, 6778, 27538, 3467, 1344, 630, 23486, 1923, 2546, 994, 268, 6723, 6115, 281, 4985, 630, 23486, 1923, 2546, 994, 268, 6723, 6115, 281, 22307, 1512, 630, 23486, 1923, 2546, 994, 268, 6723, 6115, 281, 26036, 7171, 630, 23486, 1923, 2546, 994, 268, 6723, 6115, 281, 5518, 630, 23486, 1923, 2546, 994, 268, 7338, 16962, 281, 4985, 630, 23486, 1923, 2546, 994, 268, 7338, 16962, 281, 16672, 630, 23486, 1923, 2546, 994, 268, 7338, 16962, 281, 7732, 630, 23486, 1923, 2546, 994, 268, 7338, 16962, 281, 5851, 630, 23486, 1923, 2546, 994, 268, 14062, 12493, 281, 4985, 630, 23486, 1923, 2546, 994, 268, 14062, 12493, 281, 15272, 630, 23486, 1923, 2546, 994, 268, 14062, 12493, 281, 9966, 528, 630, 23486, 1923, 2546, 994, 268, 14062, 12493, 281, 623, 20449, 630, 23486, 1923, 2546, 994, 268, 31187, 17619, 281, 4985, 630, 23486, 1923, 2546, 994, 268, 31187, 17619, 281, 623, 1115, 630, 23486, 1923, 2546, 994, 268, 31187, 17619, 281, 681, 3187, 630, 23486, 1923, 2546, 994, 268, 31187, 17619, 281, 645, 8986, 630, 23486, 1923, 2546, 994, 268, 6778, 27538, 3467, 1249, 6656, 630, 23486, 994, 268, 6723, 6115, 1249, 6656, 630, 23486, 994, 268, 7338, 16962, 1249, 6656, 630, 23486, 994, 268, 14062, 12493, 1249, 6656, 630, 23486, 994, 268, 31187, 17619, 1249, 6656, 630, 23486, 994, 268, 5800, 11681, 5811, 630, 23486, 994, 268, 24951, 24285, 630, 309, 3317, 6516, 267, 7824, 994, 268, 966, 7627, 6486, 630, 23486, 994, 268, 9906, 1249, 6656, 630, 23486, 994, 268, 9105, 1053, 547, 5581, 1018, 513, 15224, 568, 269, 1496, 3000, 2163, 281, 968, 320, 9434, 2963, 267, 12576, 267, 610, 1383, 540, 2576, 610, 1945, 8037, 610, 1390, 7536, 268, 9105, 1053, 1018, 2010, 540, 1004, 17330, 20375, 269, 1548, 7907, 1058, 789, 4865, 286, 1548, 7418, 616, 17709, 540, 513, 18189, 24744, 888, 268, 9105, 1053, 547, 1592, 3084, 267, 1533, 267, 610, 2199, 20375, 267, 5329, 513, 1592, 540, 782, 1346, 4857, 563, 268, 22252, 1053, 602, 3084, 20375, 616, 2813, 585, 519, 1857, 267, 1419, 609, 1857, 7482, 543, 519, 5796, 540, 519, 1857, 269, 1496, 20139, 15224, 281, 968, 320, 1747, 540, 8978, 267, 29271, 267, 610, 3621, 1719, 1305, 11735, 585, 11091, 2356, 676, 16232, 605, 17474, 892, 316, 3097, 268, 15681, 1053, 602, 789, 786, 581, 1565, 513, 3787, 827, 835, 540, 938, 2197, 779, 267, 543, 519, 1158, 779, 267, 1034, 4583, 20375, 269, 630, 2791, 949, 6999, 547, 723, 1053, 7058, 1354, 10213, 873, 799, 15224, 621, 568, 8094, 268, 9105, 1053, 1018, 789, 917, 827, 6778, 27538, 3467, 267, 1818, 2386, 547, 1592, 1142, 540, 519, 2185, 27504, 13269, 593, 6778, 27538, 3467, 269, 4635, 1018, 789, 917, 827, 891, 27504, 267, 1865, 1946, 789, 1589, 891, 27504, 941, 6074, 547, 581, 18189, 1242, 269, 2142, 2386, 547, 1832, 513, 1592, 540, 891, 4128, 593, 5750, 1957, 610, 547, 2328, 873, 593, 519, 4604, 543, 723, 1053, 5299, 883, 741, 31940, 269, 630, 2690, 811, 1344, 593, 713, 1641, 267, 596, 949, 5077, 519, 7270, 7396, 2630, 8094, 268, 6778, 27538, 3467, 12267, 2817, 5244, 6796, 454, 268, 6778, 27538, 3467, 32282, 1977, 15232, 454, 268, 27869, 15346, 3805, 17372, 693, 519, 14956, 2287, 540, 4518, 593, 6778, 27538, 3467, 454, 268, 6034, 1053, 547, 1224, 519, 6778, 27538, 3467, 1257, 14350, 610, 538, 2516, 543, 1287, 2626, 519, 2055, 593, 519, 6778, 27538, 3467, 5517, 16847, 563, 29094, 12143, 2991, 29140, 476, 272, 454, 2252, 2877, 267, 723, 1053, 9096, 11423, 856, 519, 6778, 27538, 3467, 5517, 16847, 693, 1753, 563, 268, 5623, 519, 4267, 547, 519, 6778, 27538, 3467, 5517, 16847, 607, 513, 1362, 563, 268, 11512, 1018, 3119, 2959, 616, 281, 12729, 2959, 616, 519, 6151, 2326, 540, 1686, 267, 2813, 693, 519, 942, 896, 1353, 269, 1358, 616, 1114, 689, 6281, 2959, 267, 799, 616, 6589, 610, 12496, 540, 2621, 2813, 676, 2576, 1510, 20250, 1995, 563, 268, 5620, 519, 1053, 16540, 513, 1592, 540, 3119, 2959, 1496, 13092, 6054, 267, 2592, 267, 19827, 267, 3615, 267, 543, 2923, 4940, 901, 1592, 666, 581, 2854, 593, 519, 3109, 4580, 267, 3043, 4580, 267, 610, 16968, 1957, 269, 21909, 824, 2010, 540, 2959, 267, 6998, 1053, 952, 1142, 568, 606, 1383, 540, 513, 3119, 610, 6281, 2707, 563, 268, 11512, 547, 1053, 602, 789, 786, 581, 2542, 6281, 2707, 5931, 543, 17265, 1896, 3119, 2959, 547, 1451, 811, 827, 6723, 6115, 7338, 16962, 267, 14062, 12493, 267, 543, 31187, 17619, 563, 268, 19147, 519, 1362, 883, 2185, 2516, 543, 3651, 835, 540, 519, 2185, 27504, 547, 1142, 1895, 563, 268, 4329, 7941, 1142, 1895, 883, 4130, 2516, 269, 12315, 1142, 2875, 835, 3296, 540, 519, 27367, 2326, 827, 519, 8655, 7022, 282, 952, 972, 616, 811, 982, 2185, 1053, 538, 513, 1895, 267, 6292, 1053, 1927, 610, 723, 835, 957, 607, 1895, 23122, 563, 268, 6034, 1142, 2875, 547, 1224, 16965, 1010, 17017, 1257, 547, 519, 1895, 563, 268, 9105, 1053, 547, 960, 29050, 547, 2626, 519, 2055, 593, 741, 8655, 7022, 1249, 6656, 563, 268, 19147, 519, 1362, 883, 1007, 2516, 540, 693, 2547, 2185, 1053, 865, 602, 1142, 1895, 814, 835, 2875, 4274, 593, 1142, 7022, 563, 268, 6034, 891, 2516, 547, 960, 1927, 547, 6445, 856, 519, 24951, 24285, 966, 3317, 6516, 563, 268, 9523, 1895, 4681, 538, 513, 1362, 4901, 269, 1280, 1142, 7022, 267, 1711, 513, 1592, 540, 1010, 7907, 543, 7418, 547, 519, 2136, 2276, 269, 11559, 1053, 547, 1039, 547, 519, 8638, 1759, 593, 1022, 4282, 1702, 789, 949, 723, 563, 268, 1306, 513, 1362, 267, 1865, 1946, 267, 610, 1946, 711, 267, 891, 2367, 964, 5703, 547, 581, 18189, 1242, 593, 6778, 27538, 3467, 267, 5329, 513, 1592, 540, 4128, 585, 543, 1996, 563, 268, 11512, 547, 1053, 602, 789, 786, 581, 7421, 2592, 540, 6723, 6115, 7338, 16962, 267, 14062, 12493, 267, 543, 31187, 17619, 1312, 1843, 1947, 1107, 10503, 1152, 1018, 789, 1294, 1107, 543, 1641, 1947, 1107, 10503, 1018, 789, 1589, 543, 1745, 269, 1358, 786, 1287, 946, 1018, 789, 4076, 4121, 547, 2721, 741, 1378, 8753, 827, 875, 2592, 9446, 1004, 543, 267, 3006, 267, 3310, 1018, 649, 1589, 827, 519, 1268, 17814, 563, 268, 19147, 1053, 883, 2185, 2516, 543, 2285, 1142, 1895, 513, 16232, 17855, 543, 519, 7222, 3239, 2079, 4976, 563, 268, 6034, 2875, 2516, 547, 2347, 519, 3239, 2079, 3211, 585, 741, 8655, 7022, 563, 268, 1306, 513, 1362, 267, 2671, 1895, 4681, 269, 3973, 1865, 875, 519, 2592, 18674, 610, 4957, 741, 5784, 540, 519, 27504, 563, 268, 4635, 519, 13359, 6486, 267, 723, 1142, 2875, 8917, 585, 610, 1996, 519, 4502, 1465, 540, 1142, 7022, 607, 964, 6326, 540, 18189, 1436, 593, 6778, 27538, 3467, 563, 268, 570, 958, 519, 16018, 543, 1865, 519, 2164, 563, 29094, 12143, 2991, 29140, 476, 275, 454, 5970, 1053, 6445, 856, 519, 9906, 5517, 16847, 693, 1753, 563, 268, 9105, 1053, 547, 2671, 741, 5551, 2104, 7418, 711, 730, 593, 741, 9906, 5517, 25420, 454, 268, 4518, 538, 2516, 547, 1491, 513, 3059, 4605, 540, 1142, 2875, 609, 606, 4082, 5078, 547, 6778, 27538, 3467, 602, 789, 786, 1039, 547, 519, 6778, 27538, 3467, 14745, 269, 630, 2252, 3059, 12514, 616, 711, 2139, 267, 596, 949, 18973, 1053, 547, 3142, 538, 513, 8666, 1820, 540, 2933, 610, 547, 2721, 741, 23609, 8094, 268, 6034, 1053, 547, 1039, 741, 3239, 547, 6778, 27538, 3467, 269, 630, 10743, 949, 1820, 856, 513, 4605, 543, 13594, 621, 883, 519, 1547, 23486, 14745, 610, 949, 1039, 741, 3059, 3239, 547, 519, 1547, 329, 17989, 3758, 1210, 513, 8666, 11049, 1982, 8094, 12892, 5525, 17583, 281, 2817, 454, 5970, 1053, 1382, 1776, 7022, 610, 824, 3084, 6205, 543, 1683, 513, 2854, 543, 5924, 5711, 4661, 827, 1946, 713, 1268, 1058, 581, 3773, 547, 6778, 27538, 3467, 563, 12892, 5525, 17583, 281, 10871, 454, 5970, 1053, 1382, 513, 2199, 6205, 543, 1683, 513, 2854, 543, 5924, 5711, 4661, 827, 1946, 713, 1268, 1058, 581, 3773, 547, 6778, 27538, 3467, 563, 23458, 8551, 17583, 281, 1715, 6778, 27538, 3467, 667, 539, 1709, 454, 16631, 17583, 281, 30578, 267, 7579, 320, 267, 610, 13056, 10044, 454, 5970, 1053, 2932, 1382, 543, 5965, 513, 6881, 593, 519, 20569, 267, 18508, 267, 610, 21426, 540, 519, 4563, 22193, 540, 3162, 21241, 563, 13043, 17583, 281, 634, 7136, 540, 6778, 27538, 3467, 454, 5970, 1053, 2932, 1382, 547, 3313, 519, 7516, 540, 6778, 27538, 3467, 543, 519, 2179, 540, 4224, 6569, 547, 1711, 519, 15224, 563, 9209, 17583, 281, 6778, 27538, 3467, 31493, 20567, 454, 5970, 1053, 1711, 513, 10036, 17001, 540, 6778, 27538, 3467, 267, 1519, 741, 1378, 1471, 720, 563, 24523, 17583, 281, 6778, 27538, 3467, 4728, 454, 5970, 1053, 6432, 547, 513, 6712, 540, 519, 6778, 27538, 3467, 4728, 269, 9105, 873, 952, 1287, 666, 2697, 519, 7405, 789, 5873, 269, 3973, 2307, 1053, 952, 789, 1589, 519, 5152, 581, 22327, 519, 6891, 540, 713, 1390, 3084, 15224, 269, 8921, 2307, 1053, 547, 2015, 1018, 1826, 540, 2575, 267, 1210, 1018, 1826, 540, 7405, 267, 1131, 1655, 7001, 519, 6891, 540, 6778, 27538, 3467, 585, 741, 5108, 2221, 563, 16665, 3119, 2707, 10070, 454, 268, 4804, 689, 519, 11905, 281, 14062, 12493, 1299, 2725, 11314, 3883, 454, 268, 4804, 689, 519, 11905, 281, 634, 3203, 540, 17650, 1393, 454, 268, 4804, 689, 519, 11905, 281, 32027, 13809, 883, 9293, 563, 268, 8672, 540, 7348, 538, 6465, 1132, 540, 14062, 12493, 281, 8422, 6733, 338, 693, 513, 26064, 1107, 589, 12729, 11905, 853, 6621, 454, 268, 9752, 3767, 281, 4635, 12729, 17796, 547, 8073, 513, 12493, 2667, 817, 1588, 1715, 2675, 770, 0, 306, 652, 2088, 281, 589, 17401, 11295, 3943, 14235, 1106, 9967, 540, 3670, 521, 652, 1115, 630, 338, 1460, 11060, 588, 11961, 553, 264, 543, 513, 1614, 11060, 26195, 1195, 269, 22453, 569, 17019, 547, 581, 835, 540, 519, 1034, 7294, 14235, 3029, 267, 519, 521, 652, 2088, 12090, 538, 10120, 3038, 775, 269, 634, 3670, 12363, 1913, 540, 519, 1101, 588, 24521, 630, 272, 268, 273, 268, 274, 268, 275, 268, 276, 268, 277, 264, 616, 7368, 538, 513, 1808, 543, 1950, 4806, 607, 519, 12363, 1913, 538, 1142, 540, 519, 8011, 532, 588, 11961, 553, 630, 277, 268, 272, 268, 276, 268, 273, 268, 275, 268, 274, 282, 476, 274, 268, 277, 268, 275, 268, 272, 268, 273, 268, 276, 282, 476, 276, 268, 274, 268, 273, 268, 277, 268, 272, 268, 275, 282, 476, 275, 268, 276, 268, 272, 268, 274, 268, 277, 268, 273, 282, 543, 476, 273, 268, 275, 268, 277, 268, 276, 268, 274, 268, 272, 1040, 1358, 616, 849, 7368, 538, 519, 26195, 1195, 267, 693, 519, 1439, 540, 519, 1614, 3515, 630, 276, 268, 274, 268, 272, 264, 543, 538, 519, 1647, 630, 273, 268, 275, 268, 277, 1040, 7216, 9439, 1331, 23172, 2246, 12253, 267, 513, 1160, 1597, 9809, 531, 5538, 21112, 712, 3622, 20295, 609, 6427, 532, 519, 1106, 267, 543, 7969, 15023, 667, 14397, 1325, 662, 1512, 328, 543, 8891, 337, 1105, 630, 293, 27509, 1723, 8891, 337, 2117, 320, 1040, 3502, 539, 9439, 538, 2296, 2039, 689, 519, 10906, 534, 11184, 17722, 28788, 2284, 547, 519, 16972, 13641, 1716, 517, 8176, 4210, 514, 10767, 928, 547, 519, 2413, 626, 26442, 571, 623, 895, 563, 13052, 4456, 12195, 2464, 281, 23052, 12881, 27411, 7204, 779, 2834, 968, 306, 652, 2088, 540, 519, 570, 1090, 335, 7304, 5819, 892, 630, 6245, 277, 1070, 799, 7475, 968, 294, 1177, 323, 12196, 713, 1158, 256, 21894, 1352, 11313, 987, 2944, 2443, 1315, 1401, 576, 335, 685, 950, 1659, 995, 1279, 2443, 594, 4076, 1336, 621, 1434, 269, 1315, 1924, 2328, 267, 1354, 594, 5884, 267, 11313, 685, 292, 17329, 621, 782, 256, 685, 892, 6201, 540, 521, 652, 21590, 609, 12150, 26195, 9081, 1331, 623, 895, 779, 968, 2704, 339, 2378, 677, 324, 892, 630, 5002, 280, 1070, 799, 3096, 4708, 267, 2575, 267, 32692, 267, 15852, 267, 6309, 5459, 267, 543, 556, 14765, 6005, 607, 922, 12363, 1913, 282, 654, 269, 670, 269, 10748, 523, 779, 968, 303, 904, 720, 5651, 23653, 2946, 892, 630, 4350, 274, 5148, 543, 10906, 21674, 779, 968, 306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17803, 568, 851, 540, 938, 4529, 8627, 594, 1589, 602, 596, 1590, 1294, 713, 4661, 538, 2789, 5380, 269, 2913, 781, 2161, 602, 596, 3717, 22400, 1893, 689, 22400, 2197, 543, 22400, 2528, 267, 543, 1152, 602, 269, 14348, 596, 899, 547, 1451, 513, 2898, 1007, 1893, 267, 513, 1893, 602, 568, 1634, 607, 519, 1034, 2352, 1893, 547, 1451, 1317, 621, 814, 865, 1082, 27325, 338, 543, 7294, 2262, 3029, 630, 7945, 607, 4630, 2684, 2158, 21663, 31598, 711, 563, 5978, 1893, 568, 1018, 2306, 721, 3309, 269, 898, 781, 1018, 5036, 721, 6306, 689, 824, 1004, 269, 1548, 1131, 2528, 1256, 1611, 952, 3025, 1185, 519, 1482, 2528, 286, 5678, 568, 513, 4190, 3364, 269, 898, 781, 711, 4023, 547, 1118, 3025, 1451, 2296, 269, 9578, 267, 649, 1810, 1405, 1616, 547, 6336, 4190, 4654, 899, 7969, 267, 610, 5259, 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 ]
[ 799, 568, 2016, 834, 1729, 513, 10196, 630, 1862, 264, 538, 6284, 540, 1010, 17017, 14222, 5789, 1243, 9295, 547, 519, 2257, 540, 2030, 7350, 538, 22778, 807, 8487, 301, 11936, 1408, 9335, 267, 28697, 693, 519, 4972, 540, 7233, 25665, 630, 308, 332, 308, 1070, 786, 4309, 519, 9501, 4916, 7216, 19396, 13815, 1927, 609, 589, 686, 6261, 2131, 6390, 631, 7564, 327, 7238, 333, 523, 267, 2160, 540, 670, 1564, 1074, 328, 269, 901, 8366, 568, 11292, 547, 834, 320, 1762, 267, 3810, 16805, 10196, 267, 945, 814, 3254, 1434, 3356, 543, 1500, 1713, 267, 4830, 7418, 547, 32090, 2030, 7350, 8487, 763, 4284, 328, 860, 807, 7233, 30946, 13815, 267, 519, 16101, 540, 519, 13539, 781, 4760, 267, 786, 979, 547, 570, 3073, 5500, 715, 7564, 338, 27048, 267, 1317, 646, 568, 2808, 513, 10196, 267, 945, 834, 13757, 1500, 14222, 7418, 547, 2030, 2257, 538, 519, 2127, 602, 616, 4988, 676, 519, 4760, 2668, 570, 3073, 5500, 715, 7564, 338, 27048, 568, 28697, 693, 519, 4972, 540, 11206, 21834, 543, 7233, 25665, 630, 20784, 308, 1916, 4517, 853, 1030, 534, 808, 753, 5459, 267, 28697, 693, 519, 4972, 540, 7233, 25665, 630, 308, 332, 308, 1070, 786, 581, 13752, 609, 519, 9501, 4916, 15019, 1436, 15356, 267, 799, 568, 606, 8366, 540, 8956, 834, 1729, 5000, 2030, 27563, 547, 3142, 1382, 2164, 547, 519, 1857, 8487, 5415, 1344, 827, 519, 26065, 630, 19986, 2457, 540, 519, 32090, 7233, 25665, 5980, 267, 9501, 4916, 454, 18208, 5305, 540, 772, 1889, 18033, 2160, 630, 514, 16528, 994, 22033, 827, 519, 3744, 1382, 912, 294, 18365, 541, 3331, 500, 638, 626, 781, 3346, 1344, 454, 27456, 27348, 676, 16016, 5090, 590, 7238, 1457, 828, 724, 282, 689, 2451, 570, 3073, 5500, 715, 7564, 338, 27048, 267, 26637, 658, 9335, 267, 853, 1030, 534, 808, 753, 5459, 264, 0, 23409, 568, 3812, 998, 513, 7613, 1634, 607, 13590, 5982, 267, 799, 568, 7768, 540, 1312, 513, 6419, 543, 606, 5122, 5057, 269, 8752, 267, 610, 7298, 1769, 267, 568, 8806, 835, 1507, 851, 540, 519, 2949, 13590, 8552, 269, 634, 3003, 8552, 2882, 18325, 12345, 267, 2473, 17530, 267, 5925, 6329, 267, 14580, 2314, 543, 18342, 1769, 14389, 852, 2859, 454, 23409, 568, 3812, 998, 2901, 2067, 610, 5841, 1797, 267, 971, 607, 609, 519, 3141, 610, 513, 1769, 15941, 267, 6606, 269, 6250, 1043, 1769, 267, 538, 922, 14724, 2474, 267, 568, 513, 5305, 540, 1648, 538, 519, 1106, 540, 513, 17142, 540, 13590, 5982, 267, 799, 568, 9228, 676, 519, 1480, 3750, 607, 1769, 269, 901, 17142, 540, 1648, 267, 610, 27141, 267, 568, 5950, 950, 9599, 9211, 2132, 547, 7123, 25057, 267, 32749, 1648, 607, 789, 1118, 519, 5912, 269, 901, 568, 851, 540, 519, 7061, 11707, 3069, 540, 1769, 267, 799, 9388, 609, 1769, 4205, 693, 10570, 2157, 563, 23409, 568, 513, 9325, 630, 31688, 517, 264, 602, 31136, 899, 513, 5951, 269, 901, 568, 1634, 607, 519, 546, 7081, 540, 1769, 543, 568, 835, 540, 519, 811, 28430, 3601, 540, 1769, 269, 4340, 547, 15610, 27429, 267, 9444, 519, 13590, 5951, 3069, 6862, 519, 7061, 3069, 7157, 2491, 519, 2623, 540, 1769, 693, 782, 2157, 282, 1312, 6436, 616, 2877, 547, 4766, 519, 9259, 8308, 269, 898, 814, 849, 1044, 3254, 602, 824, 5536, 267, 971, 607, 9211, 267, 849, 8858, 519, 1482, 5951, 6438, 3601, 269, 4107, 5063, 267, 519, 7981, 7869, 540, 4039, 18356, 814, 1044, 6964, 547, 3132, 519, 811, 2347, 543, 4922, 7608, 3069, 540, 7061, 6850, 323, 3428, 923, 269, 9596, 811, 827, 8838, 923, 1299, 31515, 454, 16978, 11424, 6329, 4163, 13590, 1648, 267, 849, 1634, 607, 13590, 5982, 267, 998, 2339, 267, 8900, 2230, 267, 11610, 543, 16070, 11610, 269, 13689, 593, 741, 4908, 543, 15423, 267, 13590, 6329, 1711, 1114, 2010, 540, 9259, 267, 1519, 7298, 1769, 267, 18342, 5982, 267, 22292, 5982, 267, 5925, 6329, 267, 18325, 12345, 267, 1535, 17530, 543, 14580, 2314, 12171, 1638, 8382, 28825, 306, 895, 6329, 616, 3812, 676, 19089, 602, 3123, 519, 6675, 540, 513, 5420, 547, 1106, 20367, 1164, 268, 543, 1970, 25774, 18651, 1206, 269, 1452, 6329, 666, 2951, 998, 17571, 267, 15559, 543, 18481, 10053, 9362, 12171, 1638, 8382, 28825, 303, 6897, 1242, 1769, 666, 581, 4857, 676, 1769, 6329, 13988, 6252, 547, 835, 1776, 269, 8752, 568, 8701, 1242, 950, 621, 568, 10630, 689, 513, 12001, 1570, 6438, 4837, 610, 950, 621, 568, 16559, 676, 5536, 17735, 538, 519, 5790, 12171, 1638, 8382, 28825, 288, 512, 761, 1756, 1769, 568, 513, 3039, 267, 30437, 1769, 2707, 602, 814, 1044, 26947, 2813, 609, 14599, 7250, 543, 8485, 528, 269, 634, 512, 761, 1756, 1769, 568, 2813, 676, 27575, 512, 761, 1756, 3154, 3330, 8955, 5498, 4705, 4837, 13740, 22862, 609, 8485, 528, 12171, 1638, 8382, 3436, 0, 1432, 1281, 661, 325, 8145, 1611, 888, 292, 325, 8145, 1315, 1030, 337, 15041, 270, 1496, 273, 11382, 338, 20426, 607, 513, 8695, 262, 2012, 269, 661, 325, 8145, 781, 2012, 5169, 568, 12355, 267, 543, 519, 2495, 540, 661, 325, 8145, 568, 834, 26258, 995, 2668, 661, 325, 8145, 568, 606, 14595, 1106, 267, 609, 519, 21879, 910, 655, 267, 540, 661, 325, 1778, 630, 28049, 267, 12355, 2567, 4528, 540, 661, 874, 571, 574, 563, 1692, 2442, 568, 661, 325, 8145, 888, 292, 325, 8145, 568, 606, 16613, 569, 9648, 1101, 2012, 585, 2367, 269, 661, 325, 8145, 568, 606, 8966, 21519, 1932, 585, 782, 1004, 269, 630, 1220, 271, 772, 2529, 269, 17227, 994, 292, 325, 1778, 630, 258, 280, 8287, 513, 1032, 3516, 1070, 661, 325, 1066, 267, 661, 874, 571, 574, 630, 258, 280, 2764, 264, 543, 661, 874, 26713, 616, 519, 7986, 4244, 3029, 540, 661, 325, 8145, 630, 719, 2515, 5440, 476, 1911, 271, 264, 7396, 538, 519, 5440, 476, 1911, 271, 269, 22553, 899, 5345, 1258, 616, 16613, 269, 26402, 540, 891, 7911, 4408, 729, 693, 922, 1034, 7839, 1282, 519, 1296, 476, 2735, 271, 268, 2735, 280, 630, 639, 720, 540, 476, 271, 269, 10711, 279, 8472, 543, 568, 1631, 3648, 2539, 630, 639, 720, 476, 271, 269, 271, 2767, 274, 9077, 476, 10436, 269, 277, 260, 1447, 1070, 609, 519, 3029, 661, 325, 1778, 267, 661, 325, 1066, 267, 661, 874, 571, 574, 543, 661, 874, 26713, 4742, 1447, 538, 642, 4084, 269, 12989, 568, 513, 1178, 335, 1117, 6476, 540, 519, 6165, 540, 661, 325, 8145, 543, 28337, 4408, 269, 630, 1001, 275, 17510, 10803, 994, 288, 5227, 2147, 4816, 2012, 568, 661, 325, 1258, 269, 6145, 661, 325, 8145, 267, 713, 2012, 568, 711, 4749, 1031, 269, 0, 291, 2700, 689, 3026, 1380, 547, 1284, 344, 515, 454, 291, 2700, 568, 476, 27886, 12919, 610, 476, 15150, 5195, 610, 476, 16328, 562, 27658, 5195, 454, 763, 3845, 568, 519, 7811, 2011, 3845, 630, 24030, 5858, 3845, 1040, 674, 2391, 1063, 519, 1079, 6753, 262, 29032, 666, 581, 513, 1114, 3845, 267, 4470, 593, 19633, 4087, 543, 4890, 8905, 6074, 563, 24961, 1107, 10374, 652, 2619, 1063, 3026, 1380, 543, 1284, 344, 515, 454, 268, 19715, 585, 3026, 1380, 454, 268, 19715, 585, 1284, 344, 515, 454, 763, 4786, 568, 1210, 513, 16879, 602, 2306, 2244, 543, 12084, 1454, 9962, 2282, 519, 5045, 543, 5087, 18635, 269, 634, 16144, 11305, 6847, 11486, 8960, 1282, 513, 8184, 9775, 538, 1034, 2665, 269, 10934, 1759, 593, 3239, 689, 8331, 563, 8340, 3845, 1063, 824, 6753, 454, 26222, 942, 6476, 454, 347, 10468, 1380, 630, 30051, 910, 3345, 10910, 710, 8862, 652, 13921, 807, 10534, 26607, 11888, 267, 5437, 476, 1839, 267, 476, 1001, 276, 693, 476, 280, 281, 6246, 281, 4649, 7537, 2008, 347, 2171, 344, 515, 630, 30051, 910, 13722, 29017, 3415, 10534, 26607, 11888, 267, 5437, 476, 1839, 267, 476, 1001, 276, 693, 476, 280, 281, 6246, 281, 4649, 7537, 2008, 8448, 942, 24740 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2026, 14135, 753, 2661, 3476, 267, 15940, 10118, 543, 4587, 4079, 1590, 3082, 547, 513, 4657, 1909, 281, 4742, 15637, 585, 741, 10172, 3237, 543, 1920, 2818, 563, 2005, 568, 1419, 1767, 267, 968, 2414, 1491, 1416, 540, 1866, 267, 1376, 2921, 1416, 540, 3054, 1848, 901, 568, 2523, 3020, 585, 1346, 540, 721, 945, 723, 547, 5104, 24327, 12391, 585, 11361, 3237, 543, 6068, 3283, 609, 824, 9021, 269, 12502, 525, 1590, 581, 15156, 585, 741, 1378, 1072, 538, 1931, 547, 538, 2490, 1683, 2298, 1416, 563, 4407, 519, 2790, 543, 2883, 1072, 540, 15637, 11148, 547, 581, 513, 6161, 267, 14637, 2168, 1072, 568, 1175, 607, 1271, 563, 23114, 4222, 568, 1360, 1271, 538, 25462, 267, 799, 1797, 2348, 2178, 6091, 269, 1280, 15637, 4171, 3232, 11645, 4125, 3586, 1648, 543, 4222, 547, 7683, 12740, 543, 1847, 2550, 610, 6068, 3283, 267, 26724, 4887, 1072, 666, 581, 606, 1898, 851, 540, 741, 1416, 563, 20062, 2969, 11298, 631, 4785, 12710, 2464, 22743, 12717, 9215, 11298, 23166, 31178, 888, 30144, 6091, 616, 1271, 269, 26298, 4222, 568, 513, 1883, 13525, 540, 2949, 1072, 543, 4249, 606, 1271, 1909, 538, 2679, 4222, 267, 1648, 267, 12046, 543, 5642, 1072, 267, 799, 2636, 721, 547, 1847, 267, 12740, 1919, 267, 6802, 1973, 998, 519, 1560, 543, 1256, 948, 721, 13236, 563, 4913, 267, 607, 930, 949, 1995, 4887, 2530, 609, 2085, 267, 621, 568, 1271, 547, 2628, 3007, 547, 938, 6091, 543, 2327, 602, 649, 2226, 938, 4222, 607, 649, 2085, 563, 7212, 649, 14135, 753, 2972, 835, 540, 519, 13074, 1272, 2503, 17473, 538, 519, 1158, 693, 1472, 476, 10695, 1296, 540, 2085, 267, 519, 1296, 6591, 949, 711, 581, 4628, 6913, 607, 811, 942, 568, 6170, 7231, 609, 2085, 5829, 1072, 2042, 267, 609, 30273, 2042, 1373, 1851, 519, 1034, 1455, 563, 306, 2117, 13449, 807, 267, 610, 519, 2085, 5829, 7771, 538, 4887, 2527, 543, 1599, 267, 666, 2253, 607, 2038, 607, 2085, 476, 2412, 267, 609, 909, 547, 5216, 2600, 4887, 2530, 1142, 8717, 563, 1103, 14135, 267, 2185, 856, 540, 2947, 4587, 4079, 693, 1981, 540, 22926, 723, 1970, 4887, 2527, 267, 2687, 547, 519, 15562, 296, 5085, 291, 630, 1805, 21880, 28517, 2657, 769, 26744, 569, 3414, 12594, 264, 1353, 5342, 676, 2806, 321, 2714, 538, 11450, 609, 26284, 328, 4937, 11233, 543, 7327, 10890, 2717, 5670, 514, 923, 563, 6224, 20315, 2464, 9215, 5254, 17751, 31031, 32670, 454, 21848, 5829, 4887, 2530, 666, 581, 15286, 676, 1818, 519, 1318, 7459, 538, 1018, 649, 3548, 543, 875, 649, 946, 938, 6091, 563, 288, 7059, 2732, 609, 3940, 11656, 3536, 2337, 7794, 4887, 1072, 269, 1306, 596, 2085, 267, 596, 991, 811, 3940, 547, 2226, 4887, 2527, 269, 898, 568, 5227, 547, 8532, 827, 476, 1839, 268, 1789, 10101, 540, 3940, 829, 7594, 267, 1519, 3940, 11656, 3536, 971, 607, 9269, 267, 16872, 267, 5798, 267, 10808, 267, 10365, 267, 31949, 610, 10683, 2472, 563, 288, 1372, 12930, 6171, 667, 6981, 666, 849, 948, 2226, 543, 2087, 4887, 1599, 543, 4222, 269, 1677, 2333, 707, 6171, 667, 6981, 267, 6108, 930, 942, 3544, 538, 519, 3141, 543, 1039, 3536, 899, 9761, 3165, 267, 17228, 267, 5798, 267, 610, 6171, 667, 1922, 677, 1881, 3536, 899, 10538, 10433, 543, 13386, 5144, 563, 9288, 7566, 707, 3232, 2115, 543, 3478, 2614, 5567, 666, 948, 596, 3251, 2178, 3476, 543, 2226, 707, 4222, 547, 1416, 585, 6068, 3283, 2429, 519, 1554, 269, 1280, 4587, 15637, 945, 616, 4731, 333, 712, 1639, 267, 2921, 7463, 9422, 9360, 666, 1489, 4887, 1072, 563, 302, 1537, 8192, 9360, 609, 670, 11586, 630, 15883, 31622, 32611, 1532, 9508, 2173, 14007, 8117, 344, 3433, 1070, 513, 2067, 7623, 267, 723, 1044, 3254, 547, 581, 2500, 538, 8497, 4887, 2527, 538, 4587, 4079, 269, 670, 11586, 568, 1336, 6923, 538, 1507, 5666, 538, 930, 3536, 267, 855, 621, 568, 2352, 547, 3489, 4887, 268, 11794, 5666, 689, 2732, 4805, 563, 763, 15562, 296, 5085, 291, 1353, 1336, 602, 4587, 4079, 945, 3576, 606, 5711, 8192, 7110, 5627, 670, 11586, 941, 24802, 8810, 547, 723, 4824, 4222, 269, 4256, 9422, 4567, 267, 2168, 1599, 543, 1072, 4093, 4824, 3648, 563, 22512, 326, 1392, 1058, 849, 3635, 5781, 547, 2061, 4887, 8467, 269, 1323, 4998, 3635, 1544, 2882, 1312, 20659, 3635, 267, 971, 607, 6972, 267, 15203, 267, 610, 10977, 267, 543, 4187, 610, 4222, 2866, 267, 971, 607, 5761, 525, 267, 2695, 1846, 267, 7903, 13522, 267, 543, 2582, 268, 5586, 2695, 1846, 563, 26594, 3232, 2238, 899, 6972, 267, 16246, 24383, 267, 543, 17666, 666, 849, 948, 1832, 707, 6091, 3742, 269, 634, 1985, 942, 596, 6300, 693, 519, 32041, 267, 2015, 8876, 513, 17365, 9126, 610, 11127, 3079, 540, 513, 10918, 7047, 563, 290, 4047, 290, 298, 5990, 631, 4785, 12710, 2464, 454, 28324, 3007, 547, 875, 707, 6091, 960, 865, 596, 666, 1491, 2656, 3268, 547, 2087, 707, 4222, 563, 1692, 798, 596, 917, 952, 596, 616, 693, 1981, 540, 4057, 4887, 2783, 286, 589, 2656, 543, 2500, 1259, 568, 547, 946, 513, 2947, 9912, 1694, 268, 1056, 1449, 602, 596, 666, 1685, 693, 1753, 547, 2708, 6198, 2539, 17119, 640, 4222, 267, 2039, 540, 5163, 267, 3666, 267, 543, 2887, 1981, 563, 2414, 1685, 519, 1449, 267, 16784, 707, 7916, 2066, 707, 9221, 543, 1847, 689, 9361, 547, 7555, 543, 1394, 547, 9361, 2947, 2053, 607, 3728, 607, 2009, 267, 1210, 513, 22245, 269, 2337, 563, 5475, 2921, 519, 1449, 267, 1265, 856, 707, 4887, 2085, 1210, 519, 26298, 6520, 18185, 267, 799, 19776, 9361, 543, 7555, 1449, 2053, 547, 3328, 1449, 2053, 585, 6211, 2085, 2516, 563, 5278, 476, 2412, 4458, 29419, 949, 723, 4887, 2085, 538, 741, 476, 2004, 338, 952, 519, 1449, 3217, 3476, 982, 3328, 267, 799, 949, 581, 1813, 547, 25013, 4887, 2783, 563, 289, 639, 344, 2043, 267, 2523, 15637, 945, 1419, 2154, 1472, 7308, 12641, 1442, 1416, 267, 949, 1616, 547, 2015, 3843, 713, 2241, 4879, 607, 513, 2241, 1259, 547, 3313, 741, 1981, 540, 9561, 4887, 2527, 563, 14011, 17395, 595, 22664, 5508, 454, 2414, 1683, 2298, 1416, 585, 1866, 267, 1810, 1406, 7340, 707, 1378, 1072, 563, 288, 1697, 2732, 5916, 609, 2834, 3635, 666, 948, 1628, 543, 2226, 4887, 4222, 267, 3056, 547, 513, 2407, 518, 543, 8902, 1272, 538, 519, 1279, 2196, 563, 12648, 519, 1101, 1900, 2221, 547, 2638, 707, 4887, 1072, 543, 2087, 707, 2732, 543, 3635, 269, 1879, 2921, 1416, 540, 707, 6068, 3283, 267, 3314, 602, 713, 2882, 3054, 563, 21607, 1154, 3054, 1101, 568, 711, 513, 25796, 957, 267, 2523, 950, 621, 2501, 547, 1416, 563, 5723, 27345, 5990, 27483, 295, 3036, 912, 4517, 16699, 645, 269, 8575, 1512, 568, 519, 744, 517, 932, 1171, 590, 1263, 7905, 540, 6925, 543, 10615, 540, 519, 4741, 585, 13245, 31701, 14423, 693, 519, 2817, 2160, 540, 14135, 269, 0, 23409, 267, 2837, 267, 1216, 543, 5567, 616, 782, 705, 8438, 2188, 602, 7494, 1860, 1142, 5117, 269, 645, 8438, 2188, 267, 593, 519, 824, 1688, 267, 616, 519, 2713, 2188, 538, 606, 5117, 281, 2831, 543, 2371, 269, 9453, 519, 705, 8438, 2188, 971, 607, 519, 3037, 543, 3141, 267, 519, 2371, 543, 2831, 1131, 24044, 547, 2661, 563, 1432, 616, 519, 476, 276, 589, 1979, 5328, 2188, 888, 276, 12226, 269, 6201, 540, 1979, 5328, 2188, 1331, 1022, 2831, 267, 2371, 267, 4054, 267, 6371, 267, 4551, 267, 21263, 267, 610, 28633, 602, 596, 1522, 1265, 538, 606, 5117, 563, 1432, 616, 476, 275, 1979, 5328, 2188, 888, 289, 8438, 2188, 616, 2713, 610, 2899, 2000, 1516, 7103, 538, 519, 5117, 269, 1452, 616, 5833, 689, 519, 1979, 14459, 543, 616, 5827, 540, 12093, 269, 6201, 540, 1979, 5328, 2188, 616, 2831, 267, 5017, 267, 2371, 267, 13271, 267, 543, 824, 2147, 7103, 563, 1432, 616, 519, 476, 274, 1979, 5328, 2188, 888, 289, 8438, 2188, 723, 1044, 5258, 883, 1614, 1292, 6688, 267, 799, 5581, 741, 10058, 1909, 538, 519, 5117, 912, 268, 1160, 3027, 619, 630, 8505, 582, 5268, 338, 994, 268, 3117, 28366, 630, 515, 614, 582, 5268, 338, 994, 268, 1546, 1260, 1842, 619, 630, 30956, 761, 643, 2803, 994, 1432, 616, 1979, 5328, 2188, 2831, 888, 288, 1979, 5328, 3815, 568, 513, 2713, 11248, 602, 5546, 922, 1604, 269, 769, 513, 15195, 5117, 267, 1806, 1522, 1331, 12748, 2371, 267, 3165, 267, 27738, 267, 543, 13479, 563, 1432, 616, 519, 476, 1015, 1979, 5328, 2188, 888, 7659, 20212, 630, 289, 8438, 11790, 5288, 2806, 8438, 11790, 994, 21270, 12118, 585, 18948, 1475, 289, 8438, 2188, 1475, 6781, 8438, 2188, 2008, 347, 14300, 1475, 24109, 753, 267, 7786, 267, 3552, 2831, 267, 5017, 267, 4551, 267, 3092, 269, 616, 930, 1806, 540, 1979, 5328, 2188, 13954, 3383, 559, 267, 11811, 267, 11195, 267, 2837, 267, 9063, 267, 2916, 267, 3092, 269, 616, 930, 1806, 540, 705, 8438, 2188, 8198, 3674, 513, 3529, 513, 1979, 5328, 3815, 888, 2791, 1223, 2161, 519, 4666, 3529, 568, 1631, 606, 705, 8438, 3815, 1317, 1979, 5328, 2188, 3277, 547, 2713, 1919, 269, 2560, 17968, 267, 596, 1223, 8044, 602, 519, 3529, 729, 2899, 2713, 543, 1979, 5328, 2188, 616, 1919, 602, 616, 2713, 610, 941, 2899, 2713, 269, 4935, 267, 519, 3529, 568, 513, 1979, 5328, 3815, 563, 9989, 1979, 5328, 1611, 9800, 888, 289, 8438, 1797, 968, 704, 8877, 547, 1272, 1848, 589, 3815, 568, 1945, 602, 7506, 1776, 3364, 269, 1924, 267, 513, 1979, 5328, 3815, 267, 2322, 3274, 267, 568, 513, 2713, 3364, 602, 5540, 824, 1919, 269, 589, 1979, 5328, 3815, 568, 849, 1572, 513, 1979, 5328, 5057, 269, 2142, 6297, 711, 547, 25657, 1979, 5328, 3815, 609, 705, 8438, 3815, 563, 3674, 6371, 1979, 5328, 610, 705, 8438, 888, 294, 14993, 568, 513, 1979, 5328, 5057, 540, 519, 1604, 269, 645, 8438, 2188, 616, 519, 2713, 3334, 540, 606, 5117, 563, 1432, 616, 519, 1114, 1979, 5328, 6688, 888, 289, 8438, 2188, 616, 519, 2713, 3334, 540, 606, 5117, 269, 1358, 616, 15044, 883, 1614, 2516, 281, 12696, 610, 1313, 582, 5268, 338, 267, 6800, 610, 10636, 582, 5268, 338, 267, 543, 10920, 1842, 619, 610, 1033, 761, 643, 2803, 563, 3674, 3037, 513, 1979, 5328, 3815, 888, 3383, 559, 700, 16558, 269, 14606, 568, 7768, 540, 1312, 1979, 5328, 1765, 331, 1516, 543, 2899, 2000, 1516, 1919, 267, 899, 2371, 543, 7786, 11652, 705, 8438, 2326, 1765, 12061, 331, 1516, 2188, 267, 899, 6886, 267, 1216, 267, 543, 2011, 269, 2560, 634, 2034, 7121, 5161, 540, 705, 8438, 2188, 267, 799, 1331, 782, 1875, 331, 1516, 1919, 1765, 1721, 1383, 267, 6886, 267, 1216, 267, 543, 2011, 563, 1432, 616, 476, 274, 1806, 540, 705, 8438, 2188, 888, 2304, 705, 8438, 3815, 568, 513, 1875, 2000, 1516, 851, 540, 606, 5117, 602, 5546, 922, 1604, 269, 769, 513, 18714, 5117, 267, 1806, 1522, 1331, 2837, 267, 1769, 267, 543, 1216, 269, 769, 513, 7286, 5117, 267, 705, 8438, 2188, 1131, 1331, 24952, 543, 5836, 14768, 563, 3674, 13897, 1979, 5328, 610, 705, 8438, 888, 3383, 559, 568, 2808, 606, 705, 8438, 3815, 2094, 621, 568, 6140, 1500, 909, 540, 1507, 5536, 540, 4224, 630, 338, 663, 543, 10036, 264, 6404, 609, 10920, 12723, 2371, 543, 2831, 269, 12518, 946, 741, 5072, 547, 1205, 1216, 543, 5567, 689, 519, 3037, 269, 0, 1432, 568, 13390, 1081, 776, 2724, 888, 7093, 8619, 1081, 776, 2724, 21356, 616, 4371, 547, 9793, 519, 1764, 540, 6397, 7836, 2115, 602, 666, 2049, 538, 519, 2104, 269, 634, 2188, 602, 5397, 519, 3747, 585, 13390, 1081, 776, 2724, 21356, 616, 2147, 547, 1346, 9916, 585, 11834, 2724, 21356, 563, 1432, 568, 11834, 543, 13390, 1081, 776, 3747, 585, 2724, 888, 9558, 9146, 3747, 1107, 2724, 2877, 547, 4444, 5370, 1107, 713, 568, 1644, 547, 4747, 269, 2776, 8619, 1081, 776, 3747, 1107, 2724, 2877, 585, 2883, 18002, 269, 2667, 564, 30254, 4882, 701, 1529, 894, 3747, 1107, 950, 1004, 6999, 547, 3180, 2724, 2864, 982, 4444, 7221, 270, 2548, 1091, 270, 5142, 5652, 5092, 563, 1432, 568, 5921, 676, 3747, 585, 2724, 888, 1103, 13075, 9297, 267, 519, 3747, 585, 2724, 568, 519, 5551, 8066, 540, 2883, 7221, 538, 519, 1106, 540, 2724, 281, 602, 568, 267, 6666, 610, 4871, 12074, 2864, 982, 9541, 269, 634, 3747, 585, 1346, 2694, 540, 519, 6626, 2724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 649, 5000, 596, 547, 798, 621, 1934, 269, 901, 2636, 547, 3095, 707, 9043, 547, 713, 6221, 269, 898, 849, 2636, 596, 547, 3398, 1761, 14327, 547, 713, 6221, 602, 649, 616, 7334, 827, 563, 2252, 8100, 616, 7357, 7508, 267, 596, 666, 1039, 873, 1210, 713, 1106, 563, 2252, 519, 2407, 8100, 1592, 606, 6221, 602, 568, 1459, 538, 1234, 14154, 322, 267, 855, 519, 1062, 1705, 711, 3095, 547, 621, 267, 596, 666, 948, 609, 713, 1106, 563, 2252, 596, 917, 540, 7508, 3688, 19696, 713, 835, 267, 596, 666, 948, 721, 2870, 1346, 6402, 676, 4946, 519, 4143, 8100, 538, 519, 1482, 1259, 607, 1657, 267, 585, 1142, 1201, 1359, 6221, 269, 1403, 596, 616, 513, 10805, 2278, 540, 713, 6221, 267, 596, 949, 849, 1616, 547, 2638, 519, 834, 322, 14591, 257, 9184, 538, 707, 9043, 267, 607, 972, 949, 581, 930, 14327, 7996, 585, 21533, 563, 8923, 4063, 602, 28303, 949, 1491, 513, 7008, 540, 4374, 547, 6882, 998, 519, 1585, 1234, 14154, 322, 2533, 269, 0, 4785, 476, 4510, 278, 277, 4375, 275, 589, 454, 15447, 333, 11149, 585, 519, 6283, 543, 5924, 4859, 540, 23735, 7007, 4492, 2609, 723, 24450, 666, 8651, 1500, 540, 5374, 610, 7372, 4703, 540, 1875, 1922, 518, 9317, 8407, 269, 1452, 723, 513, 1164, 2597, 543, 4865, 1100, 23377, 31364, 1198, 269, 1452, 11393, 616, 14284, 676, 1818, 606, 24450, 666, 3563, 9967, 540, 27948, 563, 272, 269, 589, 6283, 610, 4859, 8708, 2348, 4092, 972, 514, 513, 5110, 762, 24450, 666, 3563, 267, 1767, 666, 3563, 2348, 14788, 338, 972, 514, 9862, 547, 4309, 14599, 1570, 267, 2523, 585, 8391, 6170, 4492, 2609, 689, 6046, 26119, 267, 1767, 666, 3563, 2348, 513, 5119, 1500, 15866, 540, 27948, 585, 1110, 6819, 25268, 19501, 689, 14599, 1570, 6404, 609, 513, 23377, 21716, 1570, 267, 1767, 23377, 21716, 1570, 1373, 1500, 540, 513, 32469, 540, 20398, 563, 273, 269, 589, 8708, 2687, 547, 3409, 476, 272, 13296, 519, 14788, 338, 543, 5924, 519, 9018, 7252, 540, 519, 24450, 666, 3563, 723, 513, 23377, 21716, 17285, 15098, 563, 274, 269, 589, 8708, 2687, 547, 3409, 476, 273, 13296, 519, 4496, 15098, 593, 519, 24450, 666, 3563, 5161, 9247, 540, 18664, 517, 5374, 563, 275, 269, 589, 8708, 2687, 547, 3409, 476, 272, 13296, 519, 23377, 21716, 1570, 540, 519, 27948, 5119, 568, 18664, 517, 29743, 563, 276, 269, 589, 8708, 2687, 547, 3409, 476, 272, 13296, 519, 20398, 17663, 28283, 563, 277, 269, 589, 8708, 2687, 547, 3409, 476, 276, 13296, 972, 616, 4092, 4496, 28283, 1063, 519, 20398, 563, 278, 269, 589, 8708, 2687, 547, 3409, 476, 276, 13296, 519, 4496, 28283, 616, 9112, 538, 519, 3337, 540, 11680, 563, 279, 269, 589, 8708, 2687, 547, 3409, 476, 272, 13296, 519, 666, 3563, 13408, 513, 3490, 6676, 2348, 17956, 972, 1729, 4496, 804, 32061, 267, 27948, 20398, 543, 4496, 28283, 799, 616, 8678, 1927, 676, 8082, 22203, 543, 17516, 1797, 563, 280, 269, 589, 8708, 2687, 547, 3409, 476, 279, 13296, 519, 27948, 5119, 3568, 9023, 9055, 563, 1015, 269, 589, 8708, 2687, 547, 3409, 476, 272, 13296, 519, 27948, 5119, 3568, 9023, 9055, 563, 1556, 269, 589, 8708, 2687, 547, 3409, 476, 1015, 13296, 519, 9023, 9055, 616, 3177, 609, 513, 17285, 8720, 563, 1321, 269, 589, 8708, 2687, 547, 3409, 476, 280, 13296, 519, 9023, 9055, 616, 3177, 609, 513, 17285, 8720, 563, 763, 1843, 540, 519, 1459, 8798, 568, 513, 5110, 762, 24450, 666, 3563, 4092, 538, 513, 6283, 543, 5924, 4859, 8708, 267, 519, 666, 3563, 2348, 14788, 338, 585, 14599, 1570, 267, 3226, 585, 8391, 6170, 4492, 2609, 689, 6046, 26119, 563, 2467, 568, 7363, 2838, 606, 24450, 666, 3563, 538, 6283, 543, 5924, 4859, 11149, 267, 538, 1931, 547, 8195, 26565, 540, 1896, 6170, 4492, 2609, 689, 6046, 26119, 1282, 6283, 610, 849, 1282, 519, 4859, 547, 26565, 873, 538, 24441, 3845, 689, 1142, 824, 538, 513, 8708, 269, 4475, 267, 519, 4492, 2609, 7158, 7222, 2556, 616, 9112, 607, 5330, 5944, 14788, 338, 883, 799, 519, 4492, 2609, 616, 17332, 269, 634, 3444, 16687, 540, 519, 14788, 568, 14661, 538, 1106, 543, 7516, 2687, 547, 519, 1826, 540, 4492, 3693, 17332, 269, 14755, 519, 4492, 2609, 1590, 581, 2111, 547, 581, 17332, 543, 6569, 1510, 8373, 676, 6552, 1852, 269, 634, 24450, 666, 3563, 1590, 581, 18481, 7123, 538, 1931, 602, 621, 666, 16641, 519, 7344, 543, 8143, 4452, 902, 1282, 6283, 269, 14755, 621, 1590, 581, 865, 9112, 602, 519, 4492, 2609, 16487, 616, 711, 8697, 1282, 519, 6283, 543, 7829, 563, 22746, 24450, 666, 8651, 616, 7363, 9112, 607, 6986, 5374, 10850, 610, 607, 7372, 7161, 540, 1875, 1922, 518, 9317, 4496, 269, 634, 14788, 338, 540, 519, 7372, 7161, 616, 3812, 676, 6191, 269, 769, 513, 2016, 2013, 789, 616, 5374, 12641, 611, 563, 17556, 601, 10850, 616, 14018, 607, 24450, 666, 8651, 952, 513, 7222, 5277, 568, 4092, 538, 519, 6283, 543, 5924, 4859, 8708, 543, 799, 5012, 1055, 519, 15895, 3002, 3812, 593, 519, 8708, 3774, 676, 519, 4492, 2609, 269, 634, 5374, 5943, 666, 2874, 540, 18664, 517, 5374, 538, 799, 18664, 517, 5713, 607, 513, 23377, 4726, 828, 563, 763, 7372, 1875, 1922, 518, 9317, 4496, 25481, 3177, 609, 14788, 338, 616, 14018, 607, 24450, 666, 3563, 2094, 789, 1118, 2009, 519, 5373, 1055, 540, 519, 15895, 3002, 3812, 1510, 513, 4543, 5420, 593, 519, 8708, 3774, 269, 1358, 23295, 2874, 540, 11956, 610, 7601, 610, 741, 23212, 269, 1452, 23212, 538, 513, 2016, 2013, 666, 723, 3773, 972, 1729, 18664, 517, 610, 20017, 26606, 607, 23377, 4726, 1499, 563, 763, 5892, 1634, 24450, 666, 8651, 723, 513, 3126, 540, 11393, 269, 1358, 723, 513, 1164, 2597, 2094, 789, 616, 9112, 15866, 540, 4496, 1317, 540, 519, 8143, 19428, 2838, 269, 3487, 6053, 267, 3226, 609, 2027, 5374, 10850, 267, 972, 568, 2556, 513, 19319, 748, 1216, 9023, 538, 2013, 540, 8009, 269, 634, 23377, 31364, 1152, 3217, 1747, 547, 513, 13581, 6708, 998, 519, 666, 3563, 267, 519, 8783, 31364, 1198, 568, 16798, 998, 513, 5094, 23377, 4027, 593, 519, 31364, 6283, 610, 588, 549, 720, 8708, 269, 769, 519, 2013, 540, 10913, 267, 552, 3052, 269, 849, 3595, 267, 713, 23377, 4027, 593, 519, 31364, 8708, 2705, 267, 568, 10032, 563, 11997, 621, 729, 519, 1966, 540, 519, 1459, 8798, 547, 1683, 513, 5110, 762, 24450, 666, 3563, 4092, 538, 513, 6283, 543, 5924, 4859, 8708, 267, 519, 666, 3563, 2348, 14788, 338, 585, 14599, 1570, 267, 2523, 585, 8391, 6170, 4492, 2609, 689, 6046, 26119, 267, 799, 723, 513, 1970, 2597, 267, 606, 2500, 23377, 31364, 543, 6190, 3002, 19428, 607, 1134, 607, 1373, 26729, 607, 606, 4830, 13591, 610, 3803, 4859, 8708, 563, 763, 1966, 814, 1044, 12193, 2687, 547, 519, 8798, 676, 2348, 519, 5119, 540, 519, 24450, 666, 3563, 2874, 15866, 540, 27948, 269, 634, 5119, 666, 2874, 15866, 540, 267, 2874, 9247, 540, 610, 2874, 540, 519, 7150, 2326, 563, 763, 8798, 568, 11609, 1085, 3012, 1227, 538, 519, 12400, 13296, 912, 20983, 269, 476, 272, 607, 513, 2427, 2070, 540, 519, 24450, 666, 3563, 540, 519, 8798, 3248, 20983, 269, 476, 273, 568, 513, 7222, 1544, 2070, 3248, 20983, 269, 476, 274, 2982, 4070, 540, 519, 24450, 666, 3563, 856, 540, 20398, 609, 610, 1510, 4496, 28283, 3248, 20983, 269, 476, 275, 2982, 519, 7484, 8032, 12122, 540, 519, 4496, 28283, 607, 1134, 607, 513, 8082, 11425, 11460, 282, 543, 454, 20983, 269, 476, 276, 2982, 9023, 9055, 538, 519, 24450, 666, 3563, 563, 8269, 518, 2590, 811, 4481, 547, 519, 12400, 972, 568, 8659, 538, 513, 31364, 8708, 476, 272, 267, 2348, 513, 31364, 3382, 476, 273, 543, 606, 9018, 3382, 476, 274, 267, 513, 5110, 762, 24450, 666, 3563, 476, 275, 267, 543, 519, 14788, 338, 476, 277, 585, 8391, 5925, 268, 5562, 1570, 267, 2523, 585, 8391, 6170, 4492, 2609, 269, 634, 5119, 476, 276, 540, 519, 24450, 666, 3563, 476, 275, 5161, 540, 27948, 267, 513, 1769, 1570, 799, 896, 3339, 2175, 568, 2352, 547, 6633, 543, 799, 814, 1434, 3002, 10647, 3601, 543, 14222, 23377, 20208, 7907, 269, 634, 27948, 540, 519, 27948, 5119, 476, 276, 568, 23295, 19316, 267, 585, 1383, 267, 676, 10296, 610, 824, 1634, 3157, 267, 543, 13604, 5249, 909, 267, 538, 513, 2016, 2013, 676, 12904, 267, 1984, 902, 267, 543, 13740, 269, 1703, 2421, 621, 814, 8810, 2523, 25368, 602, 519, 14788, 338, 476, 277, 543, 5924, 519, 9018, 2627, 540, 519, 24450, 666, 3563, 476, 275, 723, 17285, 23377, 21716, 3382, 902, 476, 278, 269, 1452, 3382, 902, 666, 581, 13740, 2348, 513, 7222, 3444, 16687, 9043, 476, 2537, 543, 476, 2190, 267, 610, 513, 666, 3563, 899, 8708, 476, 1015, 799, 568, 3177, 609, 513, 3382, 476, 2641, 269, 634, 3382, 476, 2641, 3568, 23761, 476, 1839, 998, 799, 519, 14599, 1570, 666, 581, 5189, 883, 519, 14788, 338, 476, 277, 269, 634, 24450, 666, 3563, 476, 275, 540, 519, 8798, 568, 6806, 676, 513, 3382, 476, 1556, 269, 634, 946, 540, 18664, 517, 5374, 607, 8720, 476, 278, 585, 519, 14788, 476, 277, 267, 519, 666, 3563, 8708, 476, 1015, 543, 519, 3382, 476, 2767, 568, 2523, 15028, 267, 607, 568, 519, 11544, 540, 18664, 517, 29743, 883, 519, 5119, 27948, 476, 276, 269, 3414, 713, 519, 562, 2275, 2194, 675, 568, 4824, 543, 519, 2565, 3106, 23762, 269, 1520, 2779, 720, 3585, 519, 27948, 5119, 476, 276, 568, 9112, 689, 5330, 5944, 8032, 20398, 630, 279, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 543, 476, 2420, 1070, 17929, 513, 12210, 8032, 15839, 476, 279, 814, 8810, 2523, 15028, 563, 2690, 519, 32278, 543, 585, 2417, 6454, 540, 519, 3002, 19428, 621, 568, 3226, 25368, 547, 6582, 4496, 28283, 476, 280, 1063, 519, 27948, 28283, 476, 279, 269, 1703, 2421, 519, 4496, 28283, 476, 280, 666, 11338, 581, 5423, 689, 23377, 21716, 1570, 269, 589, 3226, 25368, 14842, 568, 519, 12122, 540, 519, 4496, 28283, 476, 280, 607, 513, 7484, 3337, 476, 1321, 538, 799, 519, 3113, 12792, 20398, 476, 279, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 543, 476, 2420, 616, 6870, 593, 782, 5011, 563, 1103, 2027, 2665, 267, 519, 666, 3563, 8708, 476, 1015, 568, 17515, 269, 3973, 519, 24450, 666, 3563, 476, 275, 5161, 540, 6109, 3490, 6676, 476, 2918, 547, 799, 616, 17956, 519, 3382, 902, 476, 278, 585, 519, 14788, 338, 476, 277, 267, 552, 3052, 1421, 607, 7143, 4765, 610, 3458, 14954, 593, 13740, 267, 1500, 540, 27948, 20398, 630, 279, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 543, 476, 2420, 264, 543, 540, 4496, 28283, 267, 782, 8678, 1927, 676, 8082, 22203, 476, 866, 543, 3728, 2287, 2609, 476, 736, 563, 763, 24450, 666, 3563, 476, 275, 540, 519, 8798, 568, 856, 1056, 5944, 5078, 547, 581, 1031, 4805, 607, 4859, 666, 3563, 538, 13591, 543, 3803, 4859, 585, 13936, 14599, 2326, 269, 769, 713, 2013, 267, 621, 568, 2523, 25368, 547, 1291, 9023, 9055, 476, 1704, 267, 23295, 4988, 609, 23377, 21716, 4496, 13740, 267, 998, 519, 27948, 7848, 269, 1403, 519, 24450, 666, 3563, 476, 275, 568, 5116, 593, 513, 7222, 896, 2497, 538, 606, 2011, 22799, 13591, 4558, 5264, 1287, 519, 9023, 2011, 8928, 998, 519, 9023, 9055, 476, 1704, 1317, 540, 519, 3384, 3002, 543, 14405, 1055, 519, 3653, 3002, 16109, 998, 519, 14599, 9178, 563, 763, 24450, 666, 3563, 476, 275, 538, 513, 2016, 2013, 814, 3457, 593, 519, 8082, 22203, 476, 866, 267, 593, 519, 666, 3563, 8708, 476, 1015, 543, 593, 519, 666, 3563, 3382, 476, 1556, 971, 607, 29945, 610, 561, 13903, 585, 12879, 676, 1797, 540, 1835, 6951, 610, 2147, 17666, 15457, 520, 4926, 563, 1103, 513, 2016, 2013, 519, 7934, 476, 1724, 1063, 519, 666, 3563, 476, 275, 540, 519, 8798, 543, 519, 31364, 8708, 476, 272, 666, 581, 4904, 609, 27948, 610, 4496, 8869, 267, 11338, 519, 6967, 15895, 4320, 538, 519, 14788, 338, 476, 277, 13026, 676, 519, 14599, 4492, 2609, 563, 763, 24450, 666, 3563, 476, 275, 540, 519, 8798, 2417, 3467, 814, 519, 5413, 602, 621, 568, 25517, 3533, 267, 552, 3052, 269, 676, 8142, 532, 31432, 730, 27948, 28283, 476, 279, 543, 4496, 28283, 476, 280, 547, 519, 15098 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 824, 2238, 267, 1053, 666, 1205, 513, 811, 16022, 12705, 282, 3414, 3346, 543, 6476, 267, 649, 666, 1174, 519, 25355, 11532, 865, 607, 547, 7157, 4019, 621, 780, 763, 19598, 542, 681, 3187, 540, 519, 1032, 786, 723, 519, 4316, 547, 581, 14376, 547, 7119, 538, 519, 5993, 8366, 16008, 540, 3624, 18914, 543, 27576, 5026, 10480, 3130, 269, 2986, 1576, 267, 3114, 2042, 991, 547, 581, 6743, 693, 689, 513, 3114, 5133, 269, 898, 568, 711, 2352, 547, 1265, 602, 782, 3114, 4834, 609, 2789, 3435, 616, 519, 2040, 540, 1114, 23385, 540, 2789, 4834, 269, 14171, 519, 1657, 4834, 607, 606, 1383, 267, 621, 568, 711, 2352, 547, 1265, 281, 780, 1607, 1966, 568, 711, 602, 596, 917, 875, 547, 5659, 543, 6460, 267, 855, 602, 596, 723, 2944, 2147, 2042, 269, 1496, 24987, 316, 513, 269, 5811, 281, 5173, 519, 2208, 540, 519, 3328, 540, 1142, 1870, 4747, 3379, 609, 519, 3105, 1032, 269, 4595, 519, 3681, 2285, 21159, 267, 519, 3328, 2208, 2557, 568, 5833, 780, 2005, 12851, 547, 519, 2596, 2243, 269, 769, 1880, 267, 585, 930, 3252, 267, 621, 568, 513, 1590, 547, 4194, 12730, 269, 898, 568, 2629, 547, 4163, 856, 811, 4977, 15632, 256, 634, 1739, 568, 519, 2556, 6538, 585, 6004, 269, 15173, 781, 2852, 13675, 6514, 269, 9509, 24143, 2866, 585, 6093, 2462, 2055, 538, 1164, 1153, 6128, 281, 2994, 585, 6061, 12730, 543, 4977, 15632, 540, 2243, 2010, 256, 4578, 3143, 12727, 476, 6021, 274, 25355, 11532, 568, 519, 1543, 540, 519, 1101, 3992, 538, 519, 1101, 3296, 540, 3848, 476, 1240, 540, 6103, 476, 279, 9119, 538, 519, 1007, 6437, 3044, 540, 519, 1004, 781, 4065, 9990, 269, 0, 258, 10790, 12396, 269, 280, 1321, 14371, 8566, 14154, 269, 273, 269, 278, 19425, 1882, 9208, 692, 8196, 10974, 547, 12337, 829, 12281, 540, 29977, 543, 2127, 540, 12730, 543, 25965, 267, 552, 3052, 1421, 1210, 519, 3845, 4542, 780, 2162, 3816, 10225, 692, 10481, 5852, 910, 12071, 1890, 32505, 692, 31880, 1890, 609, 519, 946, 540, 10974, 547, 3715, 12166, 2164, 267, 5173, 3259, 543, 5086, 267, 543, 946, 12166, 11269, 607, 513, 9781, 1907, 616, 930, 540, 519, 1034, 3407, 2645, 538, 6128, 543, 1644, 4610, 563, 14197, 6176, 454, 20428, 9351, 281, 9119, 454, 291, 558, 664, 4149, 889, 3256, 664, 281, 16387, 281, 5890, 7675, 2983, 6248, 16544, 609, 12307, 454, 5141, 13831, 281, 5426, 476, 272, 281, 31962, 454, 5141, 13831, 281, 2422, 10974, 547, 6961, 2241, 12166, 5376, 916, 7223, 1227, 269, 630, 10481, 5852, 910, 11683, 1849, 13831, 264, 910, 692, 5141, 31255, 1058, 711, 581, 15044, 689, 11683, 547, 25417, 543, 1287, 6026, 538, 602, 1931, 269, 1677, 798, 865, 1131, 14816, 519, 25843, 540, 519, 6310, 2093, 543, 4413, 519, 4316, 547, 3986, 519, 2101, 960, 540, 519, 3446, 609, 519, 5885, 13421, 780, 14630, 540, 7831, 28951, 281, 476, 6349, 270, 1691, 454, 1805, 9850, 281, 3557, 8274, 10088, 1386, 910, 21444, 454, 10112, 612, 539, 281, 8786, 454, 14818, 30014, 10410, 5874, 692, 1892, 10495, 7799, 1080, 10778, 2005, 2114, 949, 2154, 519, 946, 540, 519, 25355, 11532, 780, 2005, 2114, 949, 1331, 23756, 267, 6677, 1511, 267, 2834, 267, 543, 5924, 12150, 454, 335, 8432, 326, 976, 780, 1103, 3688, 602, 2154, 519, 2875, 547, 1265, 519, 1858, 267, 519, 20372, 1590, 454, 2041, 2111, 547, 581, 5258, 883, 12730, 543, 25965, 780, 1892, 18185, 23241, 10468, 23018, 692, 1892, 22548, 2305, 10778, 10743, 786, 946, 11282, 9511, 547, 1265, 513, 15943, 540, 513, 454, 335, 8432, 12455, 780, 10743, 786, 946, 11282, 9511, 547, 1265, 519, 1858, 540, 12730, 454, 663, 25965, 780, 1892, 29918, 15252, 5900, 1026, 2373, 10778, 2005, 2114, 1590, 581, 1305, 538, 513, 1483, 8996, 2796, 563, 1892, 15863, 5900, 1026, 2373, 10778, 2005, 2114, 949, 2154, 519, 2875, 547, 4019, 519, 2596, 9781, 4783, 780, 2005, 2114, 949, 2154, 519, 2875, 547, 946, 610, 3442, 519, 2953, 1770, 540, 454, 1889, 5501, 780, 2005, 2114, 949, 2154, 519, 2875, 547, 1265, 513, 10155, 2016, 519, 454, 704, 9014, 610, 1858, 540, 513, 20372, 780, 25456, 4530, 27294, 630, 272, 994, 1892, 4530, 30014, 1948, 281, 12726, 30014, 476, 272, 454, 1892, 7726, 1384, 28139, 12455, 13235, 14701, 568, 3254, 593, 519, 11282, 7470, 780, 1432, 568, 519, 15943, 267, 547, 519, 14282, 4627, 628, 540, 513, 1770, 267, 540, 20372, 13235, 14701, 2496, 1892, 30975, 281, 715, 12458, 454, 1892, 7392, 281, 661, 292, 281, 17817, 15503, 692, 1012, 13565, 20043, 692, 1607, 25162, 568, 851, 540, 891, 6030, 563, 6344, 31239, 271, 281, 5853, 1049, 10341, 538, 9119, 476, 280, 268, 1321, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 267, 476, 1708, 273, 543, 3564, 630, 9690, 4917, 6344, 30697, 271, 281, 22252, 531, 16387, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 630, 322, 6847, 2165, 3990, 4917, 6344, 277, 4029, 271, 281, 16387, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 267, 476, 1708, 273, 543, 3564, 630, 9690, 4917, 6344, 277, 3953, 271, 281, 16387, 12968, 832, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 267, 476, 1708, 273, 543, 3564, 630, 9690, 4917, 6344, 271, 3583, 271, 281, 9119, 585, 5441, 10789, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 630, 322, 6847, 2165, 3990, 4917, 8064, 272, 18684, 271, 281, 7457, 22252, 531, 16387, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 630, 322, 6847, 2165, 3990, 4917, 6344, 277, 4029, 276, 281, 16387, 585, 15894, 18401, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 275, 910, 476, 1001, 276, 267, 476, 1001, 276, 910, 476, 1708, 273, 267, 476, 1708, 273, 543, 3564, 630, 9690, 4917, 8064, 272, 18684, 276, 281, 7457, 16387, 630, 11854, 32496, 538, 8747, 281, 476, 1001, 276, 910, 476, 1708, 273, 267, 476, 1708, 273, 543, 3564, 630, 9690, 11723, 1012, 13565, 7457, 18745, 692, 21446, 622, 4528, 540, 713, 25162, 585, 1053, 609, 1713, 5042, 9124, 780, 1012, 13565, 8249, 692, 309, 564, 1540, 2200, 7855, 666, 946, 547, 4001, 519, 2035, 543, 1983, 538, 713, 25162, 780, 1012, 4813, 894, 8178, 906, 692, 8110, 9014, 543, 9351, 540, 606, 5136, 339, 2224, 21121, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 1858, 540, 606, 1073, 339, 2224, 6906, 2016, 538, 519, 11282, 7077, 780, 13911, 281, 4813, 894, 10495, 692, 8110, 9014, 543, 9351, 540, 513, 9406, 21121, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 519, 1858, 540, 513, 1318, 6906, 2016, 538, 519, 11282, 7077, 780, 13911, 281, 4813, 894, 10495, 692, 8110, 9014, 543, 9351, 540, 513, 25351, 4120, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 519, 1858, 540, 513, 13551, 2016, 538, 519, 11282, 7077, 780, 13911, 281, 4813, 894, 10495, 692, 303, 550, 6782, 5889, 23717, 338, 32309, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 540, 513, 20008, 6782, 2016, 538, 519, 11282, 7077, 780, 13911, 281, 4813, 894, 10495, 692, 1012, 7689, 12697, 692, 7069, 16387, 15858, 1384, 10743, 786, 1451, 875, 547, 1265, 519, 1858, 543, 15943, 540, 2789, 29977, 538, 519, 11282, 7077, 1210, 519, 5888, 543, 17883, 2409, 267, 7311, 519, 20028, 16754, 543, 25355, 14497, 269, 4841, 786, 2347, 513, 16387, 15858, 4469, 3233, 4643, 1895, 2534, 269, 4841, 786, 798, 513, 2110, 6881, 547, 1865, 741, 2164, 799, 5012, 547, 519, 20185, 602, 29977, 609, 519, 1482, 15943, 666, 723, 1114, 2127, 269, 4841, 786, 849, 2347, 606, 4830, 2259, 543, 10505, 606, 14827, 19044, 693, 519, 1439, 540, 519, 3992, 780, 13911, 281, 7689, 4643, 692, 9617, 1773, 2033, 9986, 262, 9351, 256, 1384, 10743, 786, 4020, 1585, 5515, 593, 11282, 14742, 543, 5173, 519, 15943, 543, 1858, 269, 2422, 540, 519, 25355, 11532, 786, 581, 2838, 780, 13911, 281, 7689, 4643, 692, 7883, 532, 519, 20028, 1384, 1607, 3992, 3096, 519, 25355, 14497, 547, 17589, 1896, 23200, 540, 519, 20028, 16754, 269, 634, 20028, 16754, 568, 1287, 1031, 547, 5173, 519, 3845, 1063, 1079, 2798, 593, 1312, 4287, 531, 7851, 543, 519, 31951, 11282, 7077, 269, 18500, 11341, 547, 10321, 568, 849, 5189, 780, 13911, 281, 7689, 4643, 692, 1012, 21126, 11473, 281, 12333, 270, 5319, 28387, 328, 770, 692, 1607, 11001, 6487, 1141, 707, 3032, 2729, 256, 13772, 875, 646, 3096, 10974, 543, 519, 3845, 4542, 547, 4729, 519, 4087, 540, 7366, 540, 5215, 540, 7314, 593, 513, 4786, 780, 13911, 281, 21126, 11473, 281, 12333, 270, 5319, 28387, 328, 770, 692, 1012, 631, 293, 3008, 4813, 894, 8178, 906, 692, 303, 550, 6782, 5889, 23717, 338, 32309, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 540, 513, 20008, 6782, 2016, 538, 519, 11282, 7077, 780, 8110, 9014, 543, 9351, 540, 513, 25351, 4120, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 519, 1858, 540, 513, 13551, 2016, 538, 519, 11282, 7077, 780, 8110, 9014, 543, 9351, 540, 513, 9406, 21121, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 519, 1858, 540, 513, 1318, 6906, 2016, 538, 519, 11282, 7077, 780, 8110, 9014, 543, 9351, 540, 606, 5136, 339, 2224, 21121, 1384, 10743, 616, 4280, 547, 1265, 519, 15943, 543, 1858, 540, 606, 1073, 339, 2224, 6906, 2016, 538, 519, 11282, 7077, 780, 1012, 9906, 8249, 692, 309, 564, 1540, 2200, 1053, 666, 946, 547, 1451, 519, 2035, 543, 1983, 538, 713, 25162, 780, 1012, 9977, 8249, 692, 309, 564, 1540, 2200, 15637, 666, 946, 547, 948, 1053, 1451, 519, 2035, 543, 1983, 538, 713, 25162, 269, 0, 1892, 4569, 454, 1892, 476, 10755, 3764, 454, 1892, 11621, 281, 476, 272, 14371, 6993, 269, 272, 454, 1892, 1100, 16863, 2943, 454, 20826, 476, 280, 267, 476, 1001, 276, 692, 1103, 713, 3992, 267, 707, 1053, 786, 1831, 5432, 609, 5546, 676, 7114, 873, 538, 1483, 1272, 269, 2659, 1053, 786, 2648, 7114, 875, 1082, 5011, 5546, 723, 676, 5373, 543, 10203, 873, 2439, 13981, 20505, 692, 10743, 786, 581, 2111, 547, 2697, 10747, 10305, 540, 2596, 5546, 269, 4841, 786, 581, 2111, 547, 2697, 519, 1297, 540, 5011, 602, 513, 6906, 267, 13551, 267, 4009, 267, 543, 5858, 723, 780, 8893, 692, 7072, 630, 1015, 3764, 2020, 1892, 11512, 602, 621, 1797, 513, 8984, 602, 4481, 6257, 1945, 269, 1280, 1383, 267, 513, 3440, 568, 5180, 267, 865, 5180, 568, 922, 10747, 14487, 563, 1892, 9105, 707, 1053, 547, 5581, 1875, 12413, 1456, 14487, 1631, 602, 789, 917, 1018, 513, 10747, 14487, 568, 563, 1892, 11512, 602, 621, 568, 513, 8984, 602, 1223, 581, 972, 835, 1554, 855, 1223, 581, 4957, 519, 1985, 1554, 269, 1280, 1383, 267, 519, 10538, 3440, 1223, 581, 13556, 2699, 267, 543, 1287, 621, 1131, 581, 513, 2699, 3440, 780, 2750, 14032, 19019, 270, 30108, 21290, 630, 736, 3764, 2020, 1892, 15681, 707, 1053, 602, 513, 10747, 14487, 568, 2141, 1459, 563, 1892, 9105, 1053, 513, 10747, 14487, 827, 873, 267, 971, 607, 1373, 2111, 547, 13236, 563, 1892, 9105, 1053, 513, 1875, 12413, 1456, 14487, 827, 873, 267, 971, 607, 2450, 267, 2094, 2450, 2242, 563, 1892, 8571, 476, 273, 9587, 593, 519, 4604, 563, 1892, 3503, 6906, 267, 4009, 267, 5858, 267, 543, 13551, 538, 519, 1101, 6241, 269, 8074, 602, 519, 10747, 14487, 585, 891, 568, 519, 1297, 540, 5011, 543, 1373, 6806, 563, 1892, 11512, 602, 6806, 5546, 1810, 1405, 723, 1022, 23761, 269, 8571, 606, 1383, 563, 1892, 12833, 924, 1053, 547, 519, 4604, 547, 2328, 10747, 10305, 540, 1142, 563, 1892, 9105, 1053, 547, 2697, 930, 1875, 12413, 1456, 10305, 540, 891, 5546, 269, 6201, 1522, 1331, 2681, 543, 2450, 780, 10817, 3660, 6657, 270, 11328, 5562, 21290, 630, 1789, 3764, 2020, 1892, 26189, 1053, 547, 2347, 519, 28064, 17781, 4976, 563, 1892, 11512, 602, 10580, 723, 1100, 5011, 543, 616, 6806, 780, 5715, 8817, 11554, 5384, 630, 1789, 3764, 2020, 1892, 6034, 707, 1053, 547, 2347, 519, 28064, 25351, 9201, 4976, 563, 1892, 11512, 875, 3688, 602, 616, 25965, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]