Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 11133, 25507, 9272, 2891, 326, 633, 513, 1297, 27363, 14456, 17342, 11133, 265, 328, 585, 1775, 538, 2039, 263, 272, 267, 1556, 22708, 2745, 6025, 762, 2020, 5976, 1930, 2891, 339, 1963, 17902, 2580, 834, 320, 8442, 607, 535, 912, 825, 535, 22182, 19304, 6025, 762, 4917, 825, 535, 22182, 28361, 333, 17210, 692, 0, 258, 19340, 11346, 692, 4289, 274, 815, 1496, 280, 267, 279, 267, 277, 267, 276, 267, 274, 267, 273, 2437, 7090, 2580, 834, 297, 6072, 257, 6540, 332, 2643, 626, 815, 1592, 274, 314, 276, 2639, 2745, 9852, 2643, 626, 264, 0, 5814, 30220, 692, 5035, 12287, 10031, 28768, 22592, 6449, 8181, 9191, 1345, 267, 4067, 267, 21519, 267, 4332, 11845, 267, 2232, 267, 15146, 267, 4757, 2187, 453, 19677, 20508, 815, 2012, 454, 453, 19677, 4732, 1248, 877, 815, 21519, 454, 453, 19677, 12500, 9500, 11845, 815, 4332, 11845, 454, 453, 19677, 14491, 816, 815, 2232, 454, 453, 19677, 269, 974, 548, 7483, 815, 15146, 454, 453, 19677, 269, 16942, 815, 4757, 454, 4848, 454, 22592, 2085, 4311, 2187, 453, 453, 339, 3736, 815, 30220, 6155, 622, 6745, 3736, 4590, 453, 453, 720, 815, 2221, 13885, 792, 268, 1345, 12500, 9500, 11845, 13885, 792, 454, 453, 14851, 2221, 2999, 30220, 6155, 622, 6025, 3736, 13885, 792, 267, 1582, 12500, 9500, 11845, 269, 24629, 267, 1582, 12500, 9500, 11845, 269, 1485, 2187, 4848, 453, 720, 20699, 476, 272, 454, 453, 16596, 2085, 454, 15235, 454, 17367, 815, 12287, 2891, 297, 2033, 2580, 834, 2710, 324, 2580, 30220, 6155, 622, 263, 1960, 273, 267, 476, 274, 267, 1321, 1070, 834, 5591, 476, 1321, 2110, 8265, 267, 5682, 6807, 2580, 834, 27898, 476, 4343, 279, 267, 476, 28071, 273, 2580, 834, 329, 2033, 6155, 4141, 11333, 2593, 15419, 2745, 9638, 3205, 20508, 994, 2745, 9638, 3205, 269, 16942, 994, 2745, 9638, 3205, 269, 720, 15405, 4848, 0, 258, 763, 6677, 22760, 566, 543, 3115, 564, 819, 12427, 692, 320, 815, 1193, 2891, 342, 4372, 5602, 321, 815, 1193, 2891, 1729, 9226, 15419, 322, 815, 16733, 320, 265, 274, 264, 1341, 536, 994, 2745, 6262, 264, 0, 258, 15761, 24219, 1239, 689, 513, 1592, 1210, 14253, 532, 692, 4289, 275, 815, 1496, 273, 267, 274, 267, 275, 267, 276, 267, 276, 267, 277, 267, 278, 6540, 332, 2643, 626, 815, 1592, 275, 314, 272, 281, 277, 2639, 2745, 9852, 2643, 626, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 795, 5459, 454, 5814, 586, 600, 331, 692, 3698, 1292, 10031, 825, 23288, 825, 901, 9226, 7097, 786, 1711, 513, 1592, 267, 835, 540, 519, 2609, 568, 513, 9598, 2435, 454, 825, 3552, 9226, 267, 3884, 1405, 621, 286, 609, 693, 2547, 1079, 10569, 269, 3097, 825, 3973, 649, 616, 27613, 2328, 713, 1592, 547, 513, 3758, 1210, 1312, 962, 4456, 299, 543, 32227, 12043, 563, 825, 15981, 692, 825, 586, 600, 331, 18316, 815, 1412, 344, 600, 331, 15305, 272, 269, 2096, 331, 7055, 825, 795, 5459, 18316, 815, 1412, 329, 5459, 15305, 272, 12459, 5459, 28847, 825, 9598, 15305, 272, 815, 13634, 1038, 1412, 760, 318, 5417, 337, 9166, 1412, 7277, 269, 10755, 269, 26316, 269, 3583, 22779, 1038, 1412, 338, 333, 5404, 318, 1636, 9166, 1412, 14065, 22779, 1038, 1412, 1087, 327, 318, 1636, 9166, 1412, 2420, 22779, 1038, 1412, 639, 20713, 9166, 1412, 6853, 5035, 22779, 1038, 1412, 10139, 5320, 9166, 1412, 6434, 2908, 5035, 7055, 825, 7684, 692, 825, 1592, 15305, 272, 815, 1496, 454, 1038, 1412, 3369, 7241, 22779, 1038, 1412, 342, 5793, 318, 529, 318, 5765, 22779, 1038, 476, 2537, 2676, 1038, 476, 2190, 2676, 1038, 1412, 515, 541, 803, 887, 541, 7055, 825, 23378, 8931, 825, 9598, 539, 8217, 15305, 272, 815, 1496, 454, 1038, 1412, 10472, 568, 513, 18760, 22779, 1038, 1412, 1492, 9623, 568, 607, 1246, 902, 281, 22779, 1038, 27835, 760, 318, 5417, 337, 9166, 1412, 7277, 269, 10755, 269, 26316, 269, 3583, 22779, 1363, 1412, 338, 333, 5404, 318, 1636, 9166, 1412, 14065, 22779, 1363, 1412, 1087, 327, 318, 1636, 9166, 1412, 2420, 22779, 1363, 1412, 639, 20713, 9166, 1412, 6853, 5035, 22779, 1363, 1412, 10139, 5320, 9166, 1412, 6434, 2908, 5035, 262, 348, 2676, 1038, 476, 22001, 2676, 1038, 476, 22001, 3451, 2676, 1038, 1412, 342, 5793, 568, 4947, 22779, 825, 476, 6540, 454, 825, 609, 1930, 12169, 600, 331, 18316, 267, 1412, 342, 10807, 607, 6908, 912, 1038, 6908, 22182, 12169, 600, 331, 6155, 2794, 5560, 1112, 539, 8217, 15305, 272, 267, 9949, 318, 6503, 318, 5882, 25716, 4917, 825, 609, 1930, 27203, 5459, 18316, 267, 1412, 342, 10807, 607, 6908, 912, 1038, 795, 5459, 6155, 2794, 5560, 1112, 539, 8217, 15305, 272, 267, 6908, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 258, 21964, 9226, 274, 454, 258, 9717, 606, 8870, 562, 267, 1265, 519, 32671, 25828, 1297, 674, 333, 269, 634, 3403, 5161, 540, 513, 2582, 8870, 562, 269, 3097, 258, 4790, 571, 6493, 269, 476, 271, 18016, 562, 18016, 476, 3393, 269, 19243, 14474, 281, 19243, 674, 333, 780, 3698, 18287, 6958, 756, 3799, 2187, 825, 952, 630, 333, 10922, 476, 272, 2187, 1038, 2132, 562, 692, 825, 4017, 815, 1496, 271, 267, 476, 272, 2639, 825, 1247, 7003, 6600, 756, 264, 10922, 562, 912, 1038, 737, 476, 815, 4017, 314, 6352, 6600, 756, 9984, 272, 27994, 325, 756, 314, 6352, 6600, 756, 9984, 273, 2639, 1038, 4017, 6910, 17347, 994, 825, 2132, 4017, 314, 6352, 6600, 756, 9984, 272, 6540, 258, 1721, 13128, 1449, 8931, 333, 815, 703, 9272, 15405, 2745, 263, 5632, 322, 6958, 756, 3799, 4917, 0, 5814, 11885, 607, 5286, 7531, 5035, 12430, 12218, 8595, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 15030, 815, 7183, 692, 825, 1219, 5721, 4311, 267, 2473, 267, 586, 267, 1565, 318, 3433, 284, 272, 324, 268, 274, 267, 1036, 284, 272, 324, 268, 276, 267, 1003, 318, 527, 619, 284, 1911, 267, 16801, 15481, 284, 1220, 267, 8231, 846, 25716, 2187, 1038, 1003, 17601, 267, 3897, 815, 2473, 17482, 454, 1038, 1003, 318, 5035, 525, 815, 5286, 27982, 12169, 264, 1341, 476, 272, 476, 1948, 8263, 586, 3217, 2418, 476, 271, 1862, 918, 268, 272, 1141, 918, 568, 1297, 540, 5049, 454, 1038, 952, 7183, 2652, 1582, 15030, 912, 2018, 1948, 22178, 1176, 3355, 1125, 654, 454, 2018, 1582, 15030, 815, 476, 271, 269, 9826, 2608, 5286, 20179, 20120, 5560, 574, 267, 1003, 318, 5035, 525, 994, 0, 14140, 4067, 284, 3863, 17750, 2891, 11767, 707, 1101, 2012, 281, 14744, 16149, 4067, 284, 3863, 17750, 2891, 11767, 707, 2034, 2012, 281, 14744, 21459, 4067, 284, 14140, 4067, 266, 257, 834, 266, 16149, 4067, 1477, 2745, 2407, 4067, 1477, 0, 5814, 2979, 454, 5228, 13340, 273, 291, 1104, 536, 273, 13328, 267, 536, 273, 28694, 9377, 267, 536, 273, 309, 1815, 273, 692, 3698, 1118, 16062, 5454, 10031, 453, 12163, 453, 24478, 525, 513, 1007, 2168, 1158, 780, 453, 14303, 5281, 912, 453, 453, 763, 9241, 2813, 1158, 563, 453, 12163, 453, 16447, 815, 536, 273, 13328, 263, 6588, 6143, 14352, 271, 267, 271, 1070, 798, 28036, 25716, 994, 16596, 1158, 7531, 3698, 1118, 318, 11069, 592, 572, 5560, 3925, 267, 9588, 2187, 453, 12163, 453, 300, 1389, 513, 2168, 20949, 780, 453, 6635, 7714, 912, 453, 453, 323, 3925, 281, 634, 4287, 540, 519, 20949, 538, 5232, 563, 453, 453, 332, 1725, 3363, 281, 634, 9588, 540, 519, 20949, 780, 453, 14303, 5281, 912, 453, 453, 763, 20949, 24042, 563, 453, 12163, 453, 2784, 2103, 815, 2979, 269, 2784, 2103, 5560, 3925, 994, 16596, 630, 4118, 269, 6523, 263, 2784, 2103, 264, 2608, 9588, 2676, 4848, 453, 4118, 4732, 514, 263, 2784, 2103, 264, 2608, 9588, 9239, 3698, 1118, 318, 7901, 263, 16447, 267, 2990, 14352, 271, 267, 271, 1070, 3897, 14352, 272, 267, 272, 1070, 5860, 284, 272, 267, 11508, 284, 271, 269, 271, 267, 1964, 3191, 284, 271, 269, 272, 267, 10047, 284, 271, 2187, 453, 12163, 453, 24478, 525, 513, 4216, 538, 519, 2168, 1158, 780, 453, 14303, 5281, 912, 453, 453, 763, 1007, 4216, 538, 519, 1158, 563, 453, 12163, 453, 323, 574, 815, 630, 323, 574, 314, 271, 316, 2608, 476, 271, 269, 276, 267, 3897, 314, 272, 316, 2608, 476, 271, 269, 276, 994, 453, 7853, 815, 1158, 5861, 5273, 291, 29174, 28694, 263, 6570, 284, 6570, 267, 5086, 284, 4118, 269, 2784, 2103, 263, 8527, 566, 4917, 453, 27729, 815, 1560, 5861, 5273, 28139, 12455, 293, 4869, 675, 6357, 2135, 284, 323, 574, 267, 5860, 284, 323, 3748, 267, 11508, 284, 325, 9689, 267, 1964, 3191, 284, 6135, 3191, 2020, 16596, 1560, 7531, 3698, 28891, 263, 16447, 267, 536, 272, 267, 536, 273, 2187, 453, 12163, 453, 293, 4926, 1927, 1079, 4703, 538, 513, 1158, 780, 453, 6635, 7714, 912, 453, 453, 16447, 281, 634, 1158, 519, 1079, 4703, 9468, 563, 453, 453, 321, 272, 281, 634, 1101, 1560, 563, 453, 453, 321, 273, 281, 634, 2034, 1560, 563, 453, 12163, 28768, 453, 335, 272, 815, 536, 272, 9884, 5454, 290, 10938, 454, 453, 335, 273, 815, 536, 272, 9884, 5454, 290, 10938, 454, 453, 22487, 815, 630, 335, 272, 1341, 533, 273, 264, 1315, 476, 273, 454, 453, 836, 815, 2979, 269, 27979, 273, 263, 533, 273, 13885, 910, 533, 272, 13885, 267, 533, 273, 11859, 910, 533, 272, 11859, 12467, 453, 7538, 272, 815, 2587, 1341, 2979, 32564, 1315, 476, 273, 454, 453, 7538, 273, 815, 2587, 910, 2979, 32564, 1315, 476, 273, 454, 453, 323, 2700, 815, 476, 271, 269, 276, 692, 453, 342, 15505, 272, 815, 27210, 4848, 453, 22487, 11859, 1341, 2979, 269, 6523, 3799, 5436, 272, 264, 2608, 3845, 2676, 4848, 453, 22487, 13885, 910, 2979, 4732, 514, 3799, 5436, 272, 264, 2608, 3845, 994, 453, 342, 15505, 273, 815, 27210, 4848, 453, 22487, 11859, 1341, 2979, 269, 6523, 3799, 5436, 273, 264, 2608, 3845, 2676, 4848, 453, 22487, 13885, 910, 2979, 4732, 514, 3799, 5436, 273, 264, 2608, 3845, 2020, 453, 16447, 5861, 5273, 310, 15505, 297, 2002, 18692, 4848, 453, 7853, 288, 284, 321, 272, 2676, 4848, 453, 7853, 289, 284, 321, 273, 2676, 4848, 453, 21123, 528, 284, 342, 15505, 272, 994, 453, 16447, 5861, 5273, 310, 15505, 297, 2002, 18692, 4848, 453, 7853, 288, 284, 321, 272, 2676, 4848, 453, 7853, 289, 284, 321, 273, 2676, 4848, 453, 21123, 528, 284, 342, 15505, 273, 2020, 3698, 4019, 318, 11069, 592, 572, 6357, 1328, 267, 20949, 267, 1064, 22561, 2187, 453, 12163, 453, 7343, 15533, 606, 20949, 547, 513, 1560, 780, 453, 6635, 7714, 912, 453, 453, 7853, 281, 634, 1560, 547, 799, 519, 20949, 568, 4294, 563, 453, 453, 11069, 592, 572, 281, 634, 4294, 20949, 563, 453, 453, 1842, 281, 634, 2990, 693, 799, 519, 20949, 568, 4294, 2676, 4848, 22592, 5435, 532, 547, 519, 1560, 781, 1158, 4099, 563, 453, 12163, 14851, 1064, 568, 7183, 912, 453, 453, 1842, 815, 1560, 9884, 5454, 290, 10938, 692, 453, 7853, 6993, 653, 569, 30791, 19808, 592, 572, 263, 11069, 592, 572, 267, 1064, 267, 6936, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6837, 17402, 22952, 267, 15748, 543, 14102, 538, 476, 1001, 274, 676, 24960, 626, 6424, 11676, 18315, 563, 306, 639, 534, 23101, 267, 4535, 543, 986, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 5530, 589, 1749, 1315, 3883, 11872, 1315, 3163, 8074, 9248, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 8080, 547, 938, 3408, 540, 11879, 17813, 7869, 256, 901, 1523, 1522, 3280, 7294, 693, 1101, 267, 855, 649, 2811, 2469, 547, 2736, 621, 1524, 1927, 543, 3605, 922, 2956, 538, 1620, 4763, 543, 18371, 1143, 269, 1924, 267, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 4312, 3893, 513, 6292, 540, 2027, 14296, 602, 2636, 596, 547, 1294, 1919, 8335, 1107, 899, 875, 1978, 3652, 267, 4507, 267, 543, 5389, 666, 1860, 1114, 2516, 540, 1004, 15490, 569, 1759, 593, 741, 2960, 2681, 610, 4282, 269, 2334, 781, 2186, 540, 1018, 11879, 17813, 7869, 630, 528, 10911, 307, 585, 2110, 264, 1281, 256, 31603, 676, 13085, 3656, 5640, 1394, 538, 519, 1412, 3583, 338, 543, 1412, 3199, 338, 267, 713, 2856, 2337, 721, 4983, 875, 2486, 949, 16662, 1549, 958, 1711, 5383, 543, 11393, 585, 930, 11570, 936, 1866, 1317, 540, 741, 5198, 780, 4131, 803, 2285, 596, 606, 1383, 281, 16514, 1079, 3214, 4881, 585, 2875, 14643, 7022, 693, 707, 1153, 269, 2290, 4819, 2501, 689, 513, 1920, 609, 6266, 540, 2200, 543, 4296, 1247, 519, 824, 3085, 1406, 723, 1569, 547, 519, 1482, 3255, 1813, 547, 2883, 10148, 269, 4634, 1498, 789, 1312, 1616, 547, 3094, 267, 519, 835, 609, 811, 1489, 1522, 1265, 621, 4443, 547, 5859, 543, 2744, 15287, 1851, 8284, 15032, 269, 6496, 333, 1406, 3100, 4023, 267, 1318, 286, 3767, 4952, 952, 972, 941, 3606, 9465, 5116, 1152, 585, 835, 540, 873, 3274, 1317, 540, 741, 5198, 20196, 1131, 581, 1256, 8338, 2439, 10135, 307, 12134, 721, 547, 1413, 5702, 693, 3871, 899, 891, 543, 2015, 2436, 11528, 2188, 3565, 547, 21376, 4093, 269, 1635, 3257, 713, 267, 649, 1451, 3407, 4245, 827, 3140, 3270, 540, 7130, 543, 15746, 267, 799, 5012, 721, 2509, 4466, 2081, 547, 3895, 7862, 543, 5126, 585, 3025, 780, 3086, 267, 596, 1522, 4898, 1946, 10911, 307, 4991, 865, 1454, 3007, 19951, 269, 4270, 267, 972, 616, 1082, 4128, 267, 1519, 9840, 1472, 3450, 1686, 8308, 543, 9425, 538, 3506, 269, 2368, 8044, 602, 7234, 13943, 3584, 971, 607, 8474, 267, 17478, 267, 610, 5571, 7292, 13103, 786, 7941, 2950, 2864, 982, 3142, 873, 6251, 1927, 269, 1717, 267, 28288, 540, 10911, 307, 3494, 602, 14344, 2250, 4636, 4777, 902, 543, 1699, 2591, 5185, 676, 12790, 2516, 568, 1898, 585, 3020, 3356, 269, 898, 781, 1271, 547, 4063, 1934, 602, 10911, 307, 3884, 1405, 5921, 547, 16620, 2043, 610, 6003, 4896, 607, 20244, 22457, 282, 3079, 267, 621, 7512, 782, 540, 721, 547, 1589, 9691, 827, 3889, 543, 1949, 602, 28511, 8635, 780, 3383, 267, 568, 10911, 307, 2965, 6026, 538, 10026, 610, 6281, 3506, 286, 12968, 652, 569, 267, 1034, 7855, 798, 711, 12799, 4001, 10911, 307, 2094, 621, 12090, 607, 513, 10927, 7400, 1353, 1369, 1876, 3506, 269, 1809, 2609, 540, 10911, 307, 3206, 1419, 2408, 18549, 950, 3610, 1865, 1514, 2152, 610, 2263, 3309, 5380, 538, 3332, 267, 1148, 267, 610, 1686, 5049, 269, 1452, 15826, 7391, 948, 1053, 1831, 3222, 540, 1585, 16752, 267, 5807, 6568, 267, 2463, 267, 543, 7071, 585, 3604, 780, 1103, 5758, 267, 11879, 17813, 7869, 3091, 721, 2645, 547, 5659, 1950, 2042, 543, 960, 2509, 2870, 513, 811, 12581, 1158, 269, 3414, 6297, 6514, 540, 6848, 8155, 543, 5238, 267, 649, 666, 2697, 7496, 602, 17225, 3160, 4316, 543, 1020, 2994, 547, 7753, 873, 269, 5901, 3695, 267, 6998, 2055, 267, 543, 5275, 4267, 910, 3314, 267, 1565, 2760, 13515, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 13185, 281, 7731, 22062, 725, 827, 7351, 15638, 454, 10144, 616, 6158, 827, 2565, 5198, 3069, 513, 2603, 891, 2395, 269, 1703, 616, 5717, 2921, 1747, 538, 1153, 4604, 11401, 2066, 519, 2197, 267, 3006, 3478, 3833, 12699, 543, 12819, 269, 16572, 543, 824, 3800, 602, 7333, 968, 322, 15560, 5198, 3069, 892, 543, 968, 15965, 529, 633, 2035, 892, 616, 3001, 998, 1533, 9777, 2137, 269, 14399, 781, 2835, 267, 2523, 1346, 602, 1445, 593, 5198, 543, 10168, 267, 616, 1373, 17049, 538, 2829, 602, 723, 891, 4031, 543, 538, 2829, 602, 1810, 1405, 269, 634, 1888, 540, 2565, 5198, 3069, 814, 1256, 1044, 12133, 539, 883, 2797, 14797, 267, 10843, 18531, 543, 22099, 267, 607, 513, 4640, 547, 678, 850, 909, 3237, 543, 2146, 2818, 538, 1931, 547, 18663, 28056, 2490, 719, 563, 8649, 573, 891, 2178, 6114, 267, 28236, 890, 6955, 652, 650, 723, 2055, 281, 1432, 568, 2565, 5198, 3069, 286, 4208, 616, 1004, 865, 13347, 827, 621, 286, 1656, 568, 621, 716, 1302, 1373, 339, 4381, 538, 918, 268, 1321, 3506, 888, 1432, 568, 11879, 17813, 7869, 888, 27287, 5198, 3069, 630, 10135, 307, 264, 729, 2919, 676, 3656, 5640, 538, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 269, 634, 715, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27287, 17813, 7869, 630, 10135, 307, 17983, 607, 851, 540, 834, 24719, 13316, 1315, 16844, 1299, 5564, 12734, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 1565, 827, 29630, 1014, 13636, 3778, 269, 2334, 4992, 4277, 256, 2052, 596, 2995, 803, 811, 2496, 7692, 281, 17610, 267, 7705, 256, 4270, 267, 621, 781, 782, 827, 519, 2528, 267, 1004, 267, 543, 2621, 538, 519, 29630, 1014, 3148, 540, 519, 2136, 2276, 269, 1411, 917, 267, 899, 2984, 827, 5755, 5599, 267, 2575, 267, 543, 2757, 2081, 540, 1272, 780, 8334, 281, 15346, 256, 1924, 267, 1281, 713, 723, 4376, 547, 798, 609, 2829, 899, 17039, 610, 17996, 2496, 7692, 281, 8786, 267, 2965, 256, 5637, 540, 1346, 2829, 616, 851, 540, 519, 8828, 3148, 602, 2882, 519, 29630, 2103, 269, 1656, 1256, 1498, 789, 1522, 581, 1114, 689, 1142, 824, 538, 930, 2081, 267, 972, 666, 1869, 581, 10486, 538, 741, 12583, 543, 4529, 1932, 780, 8334, 281, 7937, 267, 594, 1294, 269, 6145, 875, 1016, 31755, 8057, 538, 1312, 17039, 267, 538, 4025, 899, 8235, 1613, 267, 22918, 11035, 267, 543, 5450, 1515, 773, 267, 543, 849, 538, 2694, 540, 519, 29630, 1014, 3148, 1310, 2622, 2782, 4083, 267, 1318, 2496, 7692, 281, 22549, 256, 4658, 941, 3001, 856, 540, 4872, 543, 4358, 3885, 538, 1007, 16973, 269, 901, 1689, 4547, 6266, 540, 1007, 2093, 543, 4066, 267, 855, 3006, 621, 5921, 6028, 3297, 4587, 5389, 780, 8334, 281, 670, 7825, 1862, 810, 950, 1945, 2242, 267, 899, 2029, 610, 6283, 267, 621, 5540, 875, 649, 2661, 938, 3232, 2729, 267, 26001, 286, 3807, 899, 7641, 4742, 2442, 538, 519, 1412, 2004, 338, 1590, 723, 4957, 875, 1004, 6170, 741, 1863, 942, 780, 7692, 281, 23010, 267, 4010, 269, 5994, 952, 10393, 3025, 3893, 835, 9059, 3926, 602, 4951, 7044, 1107, 1100, 991, 585, 2835, 267, 10367, 267, 610, 2469, 3544, 15042, 256, 1215, 1131, 602, 1860, 707, 2146, 2496, 8334, 281, 26272, 267, 594, 7058, 621, 1223, 1118, 721, 1447, 4448, 547, 938, 12543, 2094, 649, 9364, 6108, 811, 942, 3330, 8384, 2982, 269, 1809, 6148, 649, 9364, 1265, 1007, 2081, 547, 2671, 2833, 998, 713, 3926, 1932, 780, 7692, 281, 9406, 267, 1175, 899, 875, 3885, 1394, 1287, 3323, 11018, 1472, 519, 7641, 1927, 3079, 540, 2542, 2835, 14350, 269, 7827, 2141, 814, 5294, 543, 931, 269, 5871, 2631, 2337, 721, 1174, 891, 2360, 865, 649, 666, 3082, 20617, 780, 8334, 281, 24439, 2631, 269, 1635, 519, 1259, 267, 1705, 596, 917, 602, 519, 20523, 1715, 20252, 14967, 5211, 15167, 729, 3710, 1282, 602, 942, 286, 20710, 2471, 948, 1921, 2950, 9308, 267, 1810, 1405, 789, 2496, 7692, 281, 25999, 256, 1358, 1450, 1004, 543, 5370, 547, 1847, 1063, 4025, 1454, 4443, 982, 1354, 269, 6056, 827, 621, 910, 1510, 13123, 267, 3478, 2066, 8933, 1031, 547, 1491, 3476, 610, 2838, 2027, 16996, 269, 3767, 4952, 3843, 547, 3643, 707, 3659, 945, 5030, 2066, 519, 5757, 1169, 1554, 2439, 8334, 281, 962, 10105, 256, 3143, 7064, 269, 7831, 2243, 281, 1548, 1909, 1705, 2792, 1404, 538, 4543, 1004, 4308, 609, 2462, 2242, 8345, 1394, 1287, 2496, 7692, 281, 6153, 2243, 269, 9442, 4249, 513, 2629, 1909, 538, 4687, 3377, 267, 8369, 267, 543, 4606, 1851, 11570, 269, 4438, 2053, 540, 1689, 267, 2312, 2792, 3587, 1256, 811, 1271, 1317, 21390, 666, 3362, 8451, 269, 5457, 532, 602, 1866, 949, 2070, 1919, 8335, 1813, 547, 741, 1378, 5380, 11942, 6568, 543, 9639, 780, 8334, 281, 20944, 621, 256, 8729, 585, 3450, 803, 827, 29630, 1014, 13636, 3778, 2221, 267, 7585, 269, 594, 4121, 513, 2603, 827, 875, 1455, 2631, 10039, 547, 3140, 2621, 543, 2413, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 1200, 3791, 1433, 538, 519, 3126, 540, 12531, 10503, 2250, 5756, 538, 1715, 20252, 685, 1686, 267, 2199, 2278, 543, 14787, 6307, 7200, 654, 573, 1067, 3091, 3988, 2189, 1350, 31663, 525, 883, 519, 9976, 8717, 540, 519, 6957, 2906, 269, 898, 729, 513, 942, 540, 4657, 2418, 543, 5238, 267, 540, 513, 3395, 4250, 540, 25399, 543, 267, 693, 519, 1482, 942, 267, 513, 3395, 2631, 540, 6469, 22471, 1006, 543, 519, 2956, 540, 519, 1920, 269, 898, 729, 513, 942, 540, 1390, 2208, 543, 1646, 538, 519, 2749, 267, 543, 513, 22576, 689, 1082, 540, 519, 2025, 5389, 543, 9821, 602, 1185, 5280, 547, 5581, 1018, 1715, 20252, 729, 782, 827, 563, 8138, 31755, 267, 799, 1630, 15701, 1282, 519, 585, 2906, 267, 4797, 547, 1332, 538, 2127, 971, 607, 8235, 1613, 267, 22918, 11035, 267, 543, 5450, 1515, 773, 269, 634, 20523, 1715, 20252, 14967, 5211, 15167, 729, 6192, 543, 8118, 909, 519, 4639, 7813, 547, 16450, 269, 19198, 10356, 1472, 519, 8613, 547, 4585, 968, 296, 11146, 21667, 892, 543, 824, 2442, 3292, 269, 634, 31341, 540, 519, 11114, 2782, 729, 5702, 4553, 676, 519, 2199, 31341, 3361, 676, 519, 20297, 540, 5610, 563, 303, 17977, 609, 2584, 690, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7343, 26803, 1014, 13636, 3778, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 3162, 630, 3201, 267, 8121, 267, 18919, 267, 21781, 267, 918, 312, 267, 15829, 267, 9049, 267, 12135, 267, 14662, 267, 570, 301, 267, 22622, 267, 654, 309, 264, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 2487, 1296, 267, 972, 814, 1044, 1454, 4901, 543, 7521, 4478, 519, 7145, 543, 3483, 540, 6107, 18591, 1369, 519, 2796, 540, 519, 2199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 4000, 1315, 3162, 1315, 4937, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 7170, 281, 589, 18234, 700, 1456, 538, 24410, 16940, 27347, 281, 1323, 9521, 569, 19137, 590, 2314, 513, 667, 20621, 21094, 12752, 692, 296, 4383, 513, 1507, 1920, 24804, 18992, 15678, 31314, 593, 519, 29814, 23795, 540, 918, 4599, 328, 267, 17289, 269, 3776, 18803, 705, 1712, 6035, 649, 776, 2749, 17743, 619, 606, 9101, 883, 694, 1066, 640, 267, 2484, 6569, 689, 741, 27217, 2729, 910, 2394, 5046, 13351, 721, 899, 513, 23329, 269, 594, 1869, 3314, 875, 1250, 2295, 521, 1678, 950, 594, 1224, 827, 519, 2622, 7813, 1867, 10223, 519, 31417, 6749, 538, 9235, 19614, 2066, 14913, 5607, 269, 898, 5433, 607, 952, 2576, 15504, 856, 519, 2666, 9944, 803, 780, 12024, 1082, 1866, 267, 649, 941, 5734, 2182, 269, 1284, 4718, 938, 5003, 3599, 3928, 20034, 5471, 20427, 267, 6028, 721, 751, 564, 1359, 593, 519, 1490, 1074, 540, 2883, 25010, 269, 1809, 1018, 14126, 803, 811, 729, 519, 12556, 540, 1250, 5234, 945, 1185, 1831, 1920, 936, 1079, 5756, 269, 4256, 24454, 8288, 538, 519, 3666, 267, 1175, 899, 23600, 269, 2677, 335, 1515, 1266, 5285, 539, 721, 782, 267, 855, 4758, 909, 7012, 1405, 606, 4781, 780, 3080, 1554, 267, 1247, 29957, 998, 2228, 15473, 4904, 609, 2147, 8941, 540, 530, 4141, 267, 594, 16686, 2390, 513, 2022, 11021, 5698, 1063, 2199, 15712, 607, 513, 1761, 6668, 4640, 1282, 891, 9157, 2053, 269, 2311, 1101, 16145, 267, 621, 8604, 4831, 842, 30698, 282, 1310, 782, 267, 22821, 1405, 649, 2141, 2808, 1142, 824, 30347, 286, 1717, 267, 26525, 2053, 1572, 585, 5499, 3800, 269, 4935, 3459, 513, 3460, 602, 1131, 1689, 938, 2729, 11014, 780, 3725, 2286, 856, 547, 8284, 759, 2176, 267, 575, 1132, 628, 11817, 267, 14060, 267, 543, 2534, 7426, 267, 649, 6069, 8108, 513, 18756, 6322, 693, 5009, 4264, 543, 3743, 9235, 2899, 2951, 759, 25390, 269, 634, 2856, 729, 1558, 609, 25949, 7620, 267, 1174, 2406, 865, 2016, 519, 8013, 2470, 540, 938, 1870, 269, 8616, 267, 607, 2395, 5828, 883, 4374, 267, 7444, 855, 15983, 267, 8186, 8118, 909, 547, 713, 3209, 1523, 780, 29310, 267, 649, 2813, 2189, 15004, 5356, 3309, 2833, 3262, 2066, 1114, 24284, 267, 4180, 1514, 26865, 8155, 1510, 18731, 593, 2298, 610, 1995, 269, 3245, 10357, 7888, 22581, 547, 2757, 5986, 5049, 267, 1169, 2460, 7604, 1078, 519, 3638, 2686, 13795, 540, 918, 4599, 328, 269, 1635, 7535, 532, 2200, 267, 649, 1223, 2709, 10694, 9388, 1247, 4180, 4023, 7443, 3892, 1851, 2818, 780, 2691, 10665, 6368, 556, 641, 2989, 267, 23344, 15891, 13124, 267, 938, 10319, 3646, 16004, 4829, 269, 13488, 619, 267, 1631, 5275, 10930, 3681, 267, 15874, 519, 26940, 2833, 3177, 896, 7453, 1072, 10873, 269, 3883, 902, 3323, 8945, 1782, 538, 267, 7930, 16116, 909, 10605, 269, 2859, 11932, 267, 938, 4745, 11036, 4547, 1927, 19635, 9988, 267, 5807, 23274, 1141, 31195, 2899, 4278, 1882, 780, 19185, 1394, 267, 594, 8275, 602, 519, 6855, 781, 8801, 2360, 593, 519, 9235, 2872, 25997, 721, 547, 1413, 3564, 6671, 2409, 543, 2263, 17946, 14975, 11182, 269, 2755, 2591, 6414, 267, 972, 781, 27277, 28480, 9624, 21817, 269, 901, 13778, 6433, 3366, 547, 606, 12691, 19710, 267, 18445, 602, 17604, 666, 8197, 2490, 29500, 1256, 538, 30223, 7297, 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, 814, 519, 6855, 4299, 519, 9235, 2872, 538, 14913, 5607, 888, 763, 6855, 814, 1185, 513, 1713, 2942, 1764, 593, 519, 9235, 2872, 538, 14913, 5607, 269, 634, 3148, 8185, 12346, 593, 9235, 585, 8907, 543, 7694, 267, 1818, 519, 6855, 513, 14042, 9514, 547, 922, 4346, 269, 8528, 9199, 767, 9993, 543, 9376, 23957, 13684, 676, 2477, 723, 17303, 10300, 1540, 3486, 543, 6469, 2951, 267, 7133, 519, 3003, 9235, 5117, 689, 2011, 6050, 267, 20730, 267, 18845, 267, 4663, 12427, 267, 543, 1644, 6080, 269, 3509, 4213, 723, 1044, 7142, 547, 2673, 610, 17498, 1125, 267, 3056, 547, 1713, 2816, 9271, 269, 8528, 6097, 547, 519, 2622, 7813, 267, 9235, 2256, 328, 14186, 538, 14913, 5607, 8593, 676, 476, 10037, 260, 538, 476, 1708, 271, 3379, 547, 519, 3105, 1032, 267, 4611, 538, 513, 2530, 540, 936, 1269, 1911, 5479, 538, 8907, 269, 634, 3148, 781, 9235, 2872, 568, 4397, 547, 1491, 1896, 1296, 547, 9156, 4628, 267, 543, 972, 616, 4145, 602, 930, 4213, 949, 711, 7639, 519, 2804, 15125, 1248, 269, 8528, 763, 6855, 814, 849, 12006, 519, 991, 585, 519, 9235, 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, 276, 281, 5441, 543, 12333, 31336, 4252, 2274, 8046, 692, 296, 269, 4985, 692, 289, 21488, 4252, 814, 7960, 883, 513, 2518, 7613, 602, 25186, 2686, 6302, 543, 1770, 525, 1004, 689, 782, 15211, 540, 1272, 269, 3245, 922, 18803, 20297, 538, 11354, 7615, 267, 12590, 267, 621, 814, 6738, 883, 513, 3818, 1532, 11669, 13362, 2872, 609, 682, 8046, 17364, 2066, 1585, 2085, 2516, 543, 5578, 2157, 269, 7324, 891, 682, 8046, 267, 1079, 1796, 719, 6688, 616, 1346, 2966, 4481, 585, 2852, 543, 3318, 9845, 269, 901, 3184, 786, 5490, 2620, 883, 519, 14960, 540, 1312, 2852, 543, 3318, 14912, 682, 8046, 1247, 10223, 741, 10486, 267, 3604, 267, 543, 1764, 593, 2486, 269, 1284, 3513, 849, 2263, 875, 7589, 538, 971, 682, 8046, 666, 1683, 3255, 585, 2123, 2208, 543, 1646, 3564, 6071, 7619, 6291, 780, 2862, 269, 2051, 5586, 5573, 26465, 923, 281, 715, 7563, 288, 543, 19364, 8656, 692, 288, 269, 11137, 692, 1103, 3345, 3013, 267, 1908, 326, 5573, 7619, 923, 4196, 607, 513, 19480, 6149, 1063, 1164, 1153, 543, 3318, 14912, 269, 5565, 3119, 12044, 4703, 10038, 713, 1377, 540, 1404, 910, 519, 2817, 2051, 5586, 5573, 26465, 545, 5948, 630, 301, 7563, 288, 264, 543, 519, 2817, 5948, 540, 3955, 3712, 5586, 5573, 26465, 923, 630, 2793, 8656, 1040, 3962, 3919, 19646, 2189, 4162, 267, 3889, 267, 543, 24866, 602, 3310, 519, 2949, 1995, 585, 2875, 268, 987, 2280, 525, 780, 289, 269, 12856, 543, 6555, 2888, 692, 272, 269, 715, 7563, 288, 454, 453, 265, 10406, 594, 281, 1290, 1440, 2213, 540, 2101, 9945, 609, 8101, 2200, 6131, 547, 7619, 923, 282, 3335, 3091, 2407, 25689, 547, 25945, 9845, 563, 453, 265, 10406, 4083, 281, 12833, 11510, 4130, 5238, 3246, 7864, 25689, 282, 1419, 10905, 4081, 543, 18942, 1489, 585, 2875, 268, 987, 2280, 525, 563, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14946, 618, 267, 16743, 20885, 540, 22505, 9024, 328, 2510, 454, 2108, 306, 7964, 2060, 589, 20531, 7536, 13425, 856, 938, 5767, 14232, 2621, 454, 7093, 268, 17897, 8805, 454, 32513, 1190, 827, 5026, 888, 18794, 17959, 11846, 543, 16890, 585, 519, 476, 1708, 274, 2776, 4149, 324, 1783, 8805, 563, 2171, 723, 2322, 1927, 513, 23773, 2319, 9967, 540, 1699, 267, 5449, 3318, 5716, 543, 2300, 619, 1125, 11285, 547, 948, 596, 5965, 585, 519, 14232, 476, 1708, 274, 5026, 4005, 563, 7093, 4149, 324, 1783, 8805, 667, 919, 454, 268, 476, 280, 267, 476, 1015, 267, 476, 1321, 267, 476, 1724, 543, 476, 1691, 5130, 476, 1708, 274, 454, 268, 634, 28379, 267, 14977, 3455, 9503, 5441, 454, 302, 653, 1953, 885, 616, 972, 585, 3025, 267, 543, 7041, 568, 1883, 563, 21607, 3054, 538, 513, 2990, 547, 3914, 707, 3853, 563, 16032, 2986, 11846, 16635, 454, 6826, 851, 540, 835, 540, 519, 1655, 6107, 5026, 15976, 538, 717, 2246, 1263, 269, 3171, 520, 1005, 930, 540, 519, 1655, 1153, 267, 8630, 543, 30028, 6887, 538, 519, 11662, 563, 21607, 707, 5026, 1982, 547, 519, 1449, 543, 14526, 609, 519, 1655, 540, 519, 1655, 689, 782, 936, 717, 2246, 1263, 563, 25539, 2969, 7838, 3633, 9501, 3036, 16249, 2910, 291, 2464, 912, 289, 21488, 4252, 4886, 13477, 454, 763, 31336, 4252, 4886, 13477, 568, 6322, 693, 21528, 543, 5885, 3506, 547, 1020, 513, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31955, 543, 12333, 31336, 4252, 2274, 8046, 257, 607, 851, 540, 834, 16300, 13493, 1315, 11846, 1299, 28046, 1315, 31336, 4252, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5403, 24645, 6468, 19536, 692, 7072, 912, 5970, 596, 2479, 1224, 513, 1433, 602, 1500, 596, 1745, 16487, 547, 1776, 942, 543, 1747, 286, 5620, 596, 2479, 5433, 4448, 547, 3197, 4171, 2833, 941, 1114, 689, 707, 1378, 286, 1306, 3988, 267, 649, 723, 519, 1379, 547, 1294, 519, 1158, 998, 2576, 3116, 781, 4064, 543, 1451, 827, 741, 2528, 267, 1686, 267, 543, 9620, 269, 901, 568, 2523, 3020, 950, 649, 1224, 2835, 2854, 676, 2022, 24645, 2021, 5830, 269, 1452, 4589, 946, 741, 2984, 547, 4161, 11475, 267, 2263, 3961, 267, 543, 2285, 5639, 547, 12790, 2950, 780, 1432, 1281, 621, 1611, 547, 581, 2022, 24645, 888, 8070, 24645, 1143, 4016, 547, 519, 1353, 540, 519, 2686, 267, 2797, 267, 543, 1514, 2360, 540, 19525, 267, 799, 568, 519, 1184, 540, 835, 2197, 2531, 3215, 543, 29227, 1776, 269, 20616, 7060, 1419, 13684, 741, 1893, 267, 4984, 267, 543, 2418, 593, 32519, 9082, 267, 2144, 2084, 741, 6805, 4529, 543, 12583, 269, 5403, 24645, 3332, 11394, 547, 5706, 891, 8789, 6386, 543, 29379, 4503, 9163, 780, 8005, 616, 930, 8037, 2022, 24645, 2021, 5830, 888, 5278, 8037, 2022, 24645, 2021, 5830, 1331, 932, 574, 600, 7701, 715, 2998, 17844, 1520, 747, 773, 630, 301, 12342, 1070, 808, 327, 2794, 320, 700, 1695, 21105, 630, 19328, 270, 4785, 1070, 3798, 342, 3805, 667, 4842, 520, 630, 295, 7159, 328, 270, 4785, 1070, 543, 808, 7056, 320, 717, 822, 514, 630, 19328, 270, 20084, 1040, 1452, 4589, 2328, 827, 3584, 971, 607, 9194, 267, 12761, 267, 3961, 267, 543, 4187, 267, 5373, 593, 741, 2123, 2833, 543, 2686, 6561, 780, 3963, 568, 621, 1271, 547, 1224, 2022, 24645, 2021, 5830, 888, 20091, 2022, 24645, 2021, 5830, 2636, 721, 547, 22962, 938, 5380, 267, 5660, 4763, 267, 543, 4161, 938, 10054, 269, 4256, 2984, 7618, 721, 540, 519, 1950, 12583, 543, 5571, 23543, 540, 19525, 267, 543, 16436, 721, 547, 4497, 538, 2565, 7391, 827, 1379, 267, 17979, 267, 543, 5126, 269, 5047, 267, 2542, 2022, 24645, 2021, 5830, 666, 8300, 721, 547, 2995, 938, 1378, 2984, 543, 24244, 938, 9739, 780, 12244, 281, 7335, 543, 17564, 454, 4131, 781, 1491, 513, 6251, 1413, 693, 835, 1383, 540, 2022, 24645, 2021, 781, 1603, 281, 834, 2304, 628, 2350, 924, 13474, 257, 676, 20289, 3474, 7236, 269, 4014, 519, 2278, 568, 513, 812, 267, 1010, 960, 7710, 519, 2729, 540, 2324, 11665, 7969, 11082, 538, 12425, 5755, 15183, 267, 17766, 1769, 593, 519, 575, 25311, 543, 7292, 6384, 540, 19525, 780, 2026, 596, 1224, 267, 2628, 3007, 547, 519, 1739, 2055, 1384, 265, 1215, 798, 519, 3197, 6330, 519, 13253, 1063, 741, 2757, 4529, 543, 519, 7569, 540, 519, 1007, 2486, 888, 265, 1548, 1909, 798, 4008, 267, 5198, 267, 543, 1362, 1404, 538, 5935, 519, 3197, 262, 2833, 543, 3255, 888, 265, 1215, 1281, 519, 2278, 946, 10444 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1320, 748, 1343, 540, 3165, 12357, 569, 18233, 909, 593, 13272, 593, 9710, 935, 525, 16047, 538, 16266, 779, 5045, 7266, 1537, 4437, 984, 6403, 334, 3148, 267, 9624, 12194, 602, 2242, 538, 1216, 2837, 543, 2298, 949, 723, 1044, 519, 2014, 563, 2419, 850, 779, 4437, 984, 6403, 334, 3148, 568, 4092, 930, 476, 20542, 5195, 5045, 540, 519, 3854, 267, 16114, 328, 6210, 563, 299, 665, 1023, 10332, 539, 8128, 547, 519, 10071, 267, 945, 1287, 15748, 606, 7634, 883, 519, 10071, 563, 8448, 7286, 7068, 267, 1519, 28725, 267, 941, 849, 18233, 909, 563, 763, 2229, 779, 3084, 10068, 3028, 267, 590, 1716, 16747, 8619, 267, 1767, 789, 849, 1336, 28060, 267, 513, 1826, 540, 4551, 267, 538, 519, 1216, 799, 22655, 909, 5135, 2157, 269, 0, 763, 3741, 10238, 1746, 7130, 538, 519, 9036, 896, 7170, 594, 540, 519, 4892, 609, 24894, 2920, 630, 4696, 288, 264, 543, 824, 10858, 4031, 12090, 609, 1312, 2168, 543, 17867, 9124, 538, 2247, 269, 1717, 267, 12820, 4043, 547, 1445, 811, 593, 2168, 9124, 269, 4340, 547, 513, 476, 1001, 274, 1353, 676, 519, 2817, 19137, 593, 10076, 29520, 267, 606, 6059, 476, 8618, 269, 276, 2929, 4892, 723, 4810, 2790, 1072, 15717, 538, 513, 2016, 1032, 269, 2334, 1297, 267, 952, 4376, 267, 5170, 547, 4473, 269, 901, 1357, 14373, 786, 1865, 519, 7694, 2924, 540, 7606, 609, 17867, 9124, 543, 598, 14287, 519, 16108, 781, 9021, 4724, 1346, 5520, 896, 519, 5084, 288, 543, 824, 10858, 4031, 267, 609, 8561, 593, 9036, 22581, 543, 1865, 2152, 602, 8451, 1519, 281, 1215, 519, 3376, 2989, 4214, 540, 9659, 896, 519, 5084, 288, 2549, 754, 906, 2920, 630, 4696, 8150, 288, 264, 5540, 2043, 609, 17867, 9124, 286, 10318, 1456, 950, 513, 1268, 609, 513, 17867, 9659, 568, 834, 23974, 1881, 257, 585, 513, 2816, 269, 5871, 9036, 2152, 5473, 7606, 609, 17867, 9124, 10858, 2013, 1806, 269, 17291, 950, 3106, 2152, 610, 4145, 8451, 543, 875, 519, 1523, 540, 834, 29715, 3463, 257, 949, 4019, 269, 8249, 585, 1312, 12820, 543, 5520, 267, 1851, 1082, 1866, 563, 310, 14176, 15562, 5495, 17162, 9358, 11083, 307, 21715, 888, 1692, 1419, 723, 649, 2219, 540, 513, 2527, 15246, 693, 513, 9036, 610, 824, 960, 5829, 15166, 1886, 1127, 3206, 649, 6785, 610, 1058, 723, 2938, 621, 4947, 286, 2986, 1576, 267, 602, 781, 4443, 1767, 982, 2944, 269, 634, 4892, 609, 24894, 2920, 3340, 12820, 547, 1683, 10257, 22581, 547, 11727, 2043, 609, 9124, 267, 1519, 1346, 609, 2790, 23043, 267, 602, 15186, 3970, 741, 2101, 1272, 2238, 8259, 519, 22098, 3123, 606, 3768, 826, 27465, 593, 519, 16108, 610, 519, 9441, 13514, 513, 1463, 3463, 2901, 547, 1010, 3106, 610, 519, 3106, 540, 1866, 269, 1924, 267, 1018, 1281, 782, 602, 1611, 286, 1879, 15025, 609, 5520, 609, 17867, 2175, 267, 799, 12194, 543, 4145, 616, 4570, 286, 1215, 1058, 12820, 2232, 891, 4145, 267, 2523, 538, 1769, 540, 519, 2333, 538, 543, 14042, 3441, 3361, 676, 13685, 540, 9036, 5208, 286, 1215, 798, 596, 917, 950, 2576, 814, 513, 17867, 4576, 610, 568, 1175, 10750, 9490, 286, 1656, 267, 950, 2576, 1281, 723, 513, 17867, 4576, 267, 1018, 616, 707, 13800, 286, 3767, 6616, 519, 4267, 547, 891, 2055, 1223, 10018, 596, 3656, 8373, 269, 1635, 4742, 3222, 540, 707, 9021, 267, 596, 666, 1491, 707, 1101, 3268, 4724, 7303, 13357, 267, 4180, 513, 11327, 267, 7722, 13781, 543, 2922, 9036, 267, 543, 602, 596, 616, 6870, 1996, 3656, 15668, 563, 32306, 543, 20343, 2152, 454, 8469, 1709, 6219, 6057, 454, 303, 1069, 24777, 28780, 543, 2564, 11400, 454, 10870, 22086, 518, 2055, 543, 2152, 454, 26045, 4576, 538, 519, 9036, 281, 3466, 543, 7194, 267, 10858, 16572, 630, 4696, 288, 267, 14317, 957, 267, 10324, 9753, 267, 1851, 1866, 994, 22025, 1113, 3656, 2152, 281, 7130, 267, 19635, 2126, 267, 19635, 1764, 267, 4892, 609, 24894, 2920, 630, 3698, 6873, 540, 9659, 267, 10257, 22098, 267, 3768, 826, 27465, 267, 1463, 3463, 264, 9036, 3106, 23218, 2723, 775, 2152, 454, 21766, 654, 21135, 645, 2894, 9128, 3951, 888, 13202, 8291, 2274, 3272, 2605, 27688, 267, 814, 936, 476, 736, 1296, 540, 3656, 1995, 267, 811, 982, 476, 1015, 540, 799, 1352, 814, 6170, 538, 25477, 4521, 269, 898, 729, 1282, 1200, 26022, 607, 6852, 538, 27440, 8480, 585, 513, 4571, 20695, 5234, 532, 2754, 2212, 32483, 1229, 538, 6239, 1715, 14948, 267, 609, 4238, 782, 936, 519, 18626, 2475, 267, 602, 1352, 5963, 2919, 1200, 6612, 585, 25477, 4521, 269, 3967, 8291, 13333, 896, 713, 4295, 3661, 281, 898, 568, 2009, 267, 543, 621, 568, 538, 606, 16108, 779, 1655, 1719, 267, 547, 30082, 4194, 13781, 2591, 1354, 789, 1831, 2042, 267, 1354, 789, 1267, 538, 4031, 7057, 610, 14869, 22717, 3361, 676, 2229, 32116, 269, 3967, 8291, 1568, 609, 12820, 593, 1034, 7694, 1876, 2152, 267, 9117, 607, 519, 14146, 518, 779, 13751, 25682, 12333, 2443, 547, 2327, 602, 12820, 616, 538, 519, 1655, 2990, 2009, 547, 2057, 25036, 267, 32116, 267, 9441, 1894, 2042, 267, 543, 519, 7390, 656, 267, 1419, 608, 528, 4226, 656, 3790, 269, 3967, 8291, 4589, 519, 6109, 779, 12353, 5816, 267, 1141, 596, 666, 1224, 1142, 3018, 267, 538, 10750, 2296, 630, 2254, 1850, 2297, 324, 264, 827, 2152, 18363, 12820, 2221, 269, 3967, 8291, 814, 2854, 4930, 593, 1082, 1114, 7694, 1876, 2152, 585, 1082, 12326, 267, 1519, 661, 292, 302, 6184, 697, 267, 16065, 532, 12752, 5623, 267, 7711, 25187, 267, 543, 12751, 13751, 20229, 269, 3967, 8291, 814, 9275, 543, 8036, 593, 3584, 267, 971, 607, 22518, 17461, 4258, 4242, 538, 519, 670, 3931, 6713, 267, 17434, 25477, 267, 590, 1197, 766, 28081, 906, 267, 2776, 7232, 332, 7877, 30587, 1851, 1082, 267, 1082, 1866, 269, 3967, 8291, 4196, 593, 519, 31071, 20222, 10644, 4659, 267, 513, 3818, 16162, 9918, 4305, 3196, 267, 6131, 547, 3246, 267, 11455, 267, 14942, 543, 5969, 12967, 3435, 543, 2200, 585, 12820, 8149, 547, 4180, 513, 2922, 9036, 269, 0, 1103, 799, 3662, 10806, 616, 818, 8157, 2831, 454, 281, 623, 27279, 267, 8701, 12217, 267, 16385, 281, 875, 2831, 2149, 2933, 689, 519, 4411, 454, 1692, 798, 789, 4383, 711, 547, 19068, 286, 634, 8701, 12217, 267, 519, 32463, 267, 519, 818, 8157, 5614, 339, 5661, 543, 6367, 3650, 16385, 267, 519, 4672, 3165, 286, 634, 8545, 267, 585, 1383, 267, 723, 1100, 2699, 1973, 2281, 269, 1656, 2094, 2681, 1652, 1973, 568, 25182, 267, 621, 3085, 1405, 19068, 607, 3362, 269, 3367, 1934, 1018, 519, 824, 8701, 11317, 616, 3257, 1996, 519, 16171, 4411, 563, 2467, 568, 1100, 16990, 28876, 4365, 538, 19778, 281, 1879, 519, 32463, 4734, 519, 4262, 543, 530, 18150, 593, 2244, 267, 789, 616, 21947, 609, 5210, 607, 1970, 607, 14263, 476, 2412, 5232, 17622, 269, 1924, 1946, 3085, 1405, 519, 1216, 593, 707, 1560, 19068, 547, 4672, 286, 623, 597, 537, 345, 918, 1511, 327, 335, 712, 689, 519, 2160, 540, 4993, 543, 1010, 9164, 723, 1336, 602, 8425, 5622, 32463, 946, 1896, 2168, 15361, 547, 2061, 713, 269, 2201, 519, 835, 1688, 267, 789, 19149, 622, 741, 20034, 720, 609, 606, 3282, 602, 789, 3132, 538, 2027, 15374, 269, 2201, 519, 824, 1688, 267, 972, 616, 6263, 267, 2011, 23752, 22405, 538, 741, 17207, 269, 5637, 1927, 1118, 519, 533, 21315, 2627, 5393, 1216, 3146, 335, 749, 550, 269, 1879, 621, 4991, 6632, 267, 20085, 12772, 1106, 593, 621, 267, 799, 6336, 3002, 1360, 7444, 269, 6969, 789, 723, 942, 547, 19068, 267, 789, 5066, 1055, 519, 20034, 720, 563, 11847, 6974, 2510, 540, 1010, 2249, 616, 1767, 547, 723, 519, 4102, 4494, 540, 3170, 538, 519, 3003, 17962, 1920, 269, 901, 865, 10777, 11164, 321, 2401, 666, 581, 811, 982, 476, 2412, 17744, 5394, 543, 25904, 519, 2831, 1360, 3927, 269, 1717, 267, 1434, 13471, 3006, 3587, 513, 1966, 281, 1403, 519, 6091, 3132, 513, 2603, 540, 3002, 1282, 588, 1066, 6681, 2238, 267, 519, 2634, 27938, 547, 936, 17742, 269, 1809, 519, 16385, 2061, 713, 609, 513, 2027, 1418, 896, 741, 31370, 267, 799, 12138, 654, 518, 628, 689, 670, 2086, 6577, 4149, 11770, 2284, 5441, 538, 519, 7330, 543, 1010, 9164, 1152, 4362, 538, 476, 1001, 274, 269, 901, 11425, 11057, 24402, 1309, 591, 333, 657, 636, 3193, 16736, 568, 3710, 13974, 547, 513, 4050, 529, 281, 952, 1973, 8928, 883, 922, 5160, 267, 621, 2220, 20635, 269, 1403, 519, 3662, 1287, 7669, 338, 998, 519, 4262, 609, 922, 5023, 1930, 267, 519, 1418, 3947, 1055, 513, 2603, 540, 3002, 547, 519, 1216, 563, 290, 10635, 617, 850, 4672, 3165, 454, 763, 25438, 850, 4672, 3165, 267, 799, 616, 5065, 547, 519, 8828, 7909, 267, 616, 519, 1152, 30900, 602, 4625, 7006, 1619, 609, 2699, 1973, 2281, 543, 519, 2699, 1973, 20119, 24562, 269, 5221, 971, 2681, 1652, 1973, 568, 25182, 543, 1447, 2693, 547, 19068, 269, 769, 2132, 267, 2705, 267, 621, 3112, 3560, 5135, 607, 3927, 269, 769, 1931, 547, 22771, 585, 713, 19319, 267, 519, 2831, 723, 9715, 513, 3226, 1804, 2295, 543, 2647, 15532, 267, 513, 1804, 2179, 540, 1973, 543, 1164, 1973, 2604, 538, 519, 1576, 540, 741, 4720, 269, 1548, 3744, 616, 3226, 5461, 538, 827, 519, 2681, 1652, 4672, 3165, 568, 519, 4719, 1344, 585, 1973, 5250, 269, 24930, 4126, 602, 676, 7421, 873, 267, 789, 786, 1732, 1174, 519, 8129, 540, 1480, 1973, 3676, 543, 1020, 1007, 2126, 3681, 563, 2005, 568, 1100, 14626, 2064, 602, 8701, 12217, 267, 909, 547, 476, 274, 269, 2412, 7397, 538, 3259, 543, 20604, 1472, 476, 8517, 13532, 267, 616, 519, 4102, 2244, 23097, 2803, 593, 3618, 269, 5221, 513, 1804, 1560, 814, 513, 5266, 1507, 2627, 1858, 538, 6935, 547, 922, 4320, 543, 4061, 19380, 2370, 3002, 269, 769, 1840, 267, 519, 8701, 21962, 16833, 2933, 538, 5394, 9663, 602, 6227, 519, 3003, 1560, 4849, 585, 519, 9133, 540, 519, 9224, 543, 519, 1151, 525, 540, 519, 3952, 269, 634, 9018, 24827, 616, 17860, 543, 4061, 1106, 606, 3606, 32229, 2011, 31289, 269, 7201, 519, 9663, 6013, 513, 3109, 2960, 602, 25309, 10071, 7943, 543, 17838, 621, 883, 14246, 269, 7201, 17231, 972, 568, 513, 2947, 547, 4557, 1298, 9014, 5394, 4494, 540, 3170, 269, 15788, 267, 713, 13471, 1568, 865, 1134, 602, 8701, 12217, 2611, 6456, 689, 519, 3002, 8596, 540, 18342, 12514, 563, 763, 2831, 267, 799, 616, 1152, 513, 1906, 28935, 538, 2450, 267, 723, 513, 2027, 8945, 538, 4558, 585, 17005, 519, 8701, 5162, 281, 1358, 666, 581, 19068, 1673, 3072, 1354, 519, 4411, 4005, 269, 634, 14455, 30679, 6681, 5614, 339, 5661, 31770, 1472, 538, 519, 21263, 24302, 687, 540, 519, 11848, 538, 4832, 269, 1809, 950, 621, 4991, 1932, 13943, 585, 873, 538, 15489, 267, 789, 1265, 12062, 543, 2253, 547, 695, 337, 633, 331, 269, 2659, 1560, 19380, 1804, 5666, 540, 1216, 2394, 972, 568, 1152, 513, 9583, 3076, 6804, 7387, 2451, 269, 1809, 607, 4166, 607, 519, 2175, 1205, 1732, 1586, 267, 789, 2220, 749, 547, 741, 2025, 2450, 267, 7452, 1055, 741, 4703, 543, 1175, 979, 593, 2713, 269, 12207, 4126, 547, 835, 1554, 581, 2111, 547, 946, 713, 9028, 585, 2564, 5301, 910, 585, 1383, 547, 4558, 8031, 543, 8219, 585, 1098, 17852, 563, 268, 8298, 1227, 267, 1141, 616, 519, 15852, 4229, 454, 268, 4208, 616, 18402, 538, 5124, 711, 20401, 762, 888, 268, 1548, 616, 519, 1655, 9604, 540, 519, 1306, 326, 731, 2103, 454, 268, 1215, 513, 1863, 543, 686, 617, 813, 2306, 2724, 454, 268, 9701, 812, 4235, 22090, 4486, 1310, 12129, 454, 268, 1215, 568, 19113, 307, 10736, 547, 19555, 657, 21034, 5384, 454, 268, 4208, 798, 3237, 1118, 2300, 4926, 454, 268, 1548, 568, 2098, 2089, 334, 700, 7660, 29079, 454, 268, 7316, 1058, 594, 1902, 454, 268, 1684, 23501, 723, 942, 547, 1224, 454, 268, 10830, 776, 22735, 568, 513, 3043, 25160, 659, 626, 454, 268, 1215, 616, 4589, 26940, 593, 23839, 454, 268, 1215, 568, 4264, 7802, 1500, 454, 268, 2052, 594, 946, 13662, 23623, 593, 13662, 275, 888, 268, 2296, 18702, 11511, 3421, 616, 27272, 454, 268, 3657, 2921, 3444, 7257, 614, 28335, 454, 268, 1548, 568, 519, 3017, 1063, 10097, 543, 10464, 454, 268, 1772, 8869, 15098, 28890, 454, 268, 1215, 568, 519, 4365, 538, 1306, 3405, 320, 661, 761, 16699, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10499, 543, 1582, 6155, 3925, 11203, 667, 3925, 10611, 20846, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 269, 4041, 10499, 454, 1038, 8640, 546, 597, 318, 2652, 667, 3925, 269, 16810, 543, 1582, 6155, 3925, 11203, 667, 3925, 6185, 32052, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 269, 16810, 454, 1038, 952, 546, 597, 318, 2652, 667, 3925, 6185, 32052, 543, 1582, 6155, 3925, 11203, 667, 3925, 269, 16810, 912, 2018, 1582, 6155, 3925, 815, 667, 3925, 6185, 32052, 692, 825, 1219, 1847, 4311, 2187, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 16810, 912, 2018, 1582, 269, 6570, 14277, 9008, 19312, 20699, 595, 18510, 292, 32707, 8379, 2894, 31064, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 6185, 32052, 912, 2018, 1582, 269, 6570, 14277, 9008, 19312, 6834, 595, 18510, 292, 32707, 8379, 2894, 31064, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 269, 4041, 10499, 912, 2018, 1582, 269, 6570, 14277, 3847, 19312, 20699, 595, 18510, 292, 32707, 8379, 2894, 31064, 454, 1038, 8640, 1582, 6155, 3925, 2652, 667, 3925, 10611, 20846, 912, 2018, 1582, 269, 6570, 14277, 3847, 19312, 6834, 595, 18510, 292, 32707, 8379, 2894, 31064, 454, 1038, 1582, 269, 7853, 27044, 263, 271, 267, 12384, 4311, 269, 6570, 14277, 9008, 257, 3910, 1582, 269, 6570, 14277, 3847, 19312, 4917, 1038, 1582, 23584, 815, 1582, 269, 7853, 314, 271, 2639, 1038, 1582, 269, 7853, 21014, 10797, 825, 1219, 568, 17686, 1707, 4311, 2187, 1038, 952, 1582, 23584, 6745, 641, 2652, 476, 6110, 610, 1582, 23584, 16000, 2652, 476, 6110, 610, 1582, 23584, 6745, 641, 2652, 476, 271, 610, 1582, 23584, 16000, 2652, 476, 271, 912, 2018, 2132, 6936, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 4311, 269, 7853, 15892, 2018, 952, 1582, 23584, 16000, 2652, 1582, 269, 7853, 5157, 4940, 3847, 543, 1582, 23584, 6745, 641, 2652, 1582, 269, 7853, 5157, 4940, 9008, 912, 3546, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 1332, 27409, 820, 4311, 2187, 1038, 1582, 269, 7853, 27044, 263, 271, 267, 12384, 4311, 269, 6570, 14277, 9008, 257, 3910, 1582, 269, 6570, 14277, 3847, 257, 8079, 9239, 5035, 10794, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 8807, 797, 815, 7183, 454, 1038, 1582, 269, 4134, 815, 7183, 454, 1038, 1582, 3052, 877, 318, 1478, 815, 8771, 692, 825, 1219, 1711, 11514, 2452, 4311, 2187, 1038, 27368, 269, 8181, 4590, 1038, 1582, 269, 4134, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 6110, 267, 476, 6110, 4917, 1038, 27368, 269, 5891, 269, 26303, 4590, 1038, 27368, 269, 5891, 15630, 6831, 320, 1632, 2891, 27409, 820, 10794, 5602, 1038, 1582, 269, 4134, 8807, 650, 9230, 18597, 267, 476, 18597, 267, 476, 18597, 11723, 825, 1219, 2721, 27409, 820, 4311, 267, 13131, 2187, 1038, 585, 1775, 538, 13131, 269, 7853, 912, 2018, 27368, 6155, 3863, 269, 5550, 4311, 269, 4134, 267, 630, 328, 269, 10233, 25331, 267, 1775, 269, 10233, 3052, 267, 1775, 269, 10233, 12500, 13211, 4449, 17264, 630, 328, 16000, 267, 1775, 6745, 641, 267, 595, 18510, 292, 32707, 8379, 2894, 31064, 267, 595, 18510, 292, 32707, 8379, 2894, 31064, 11723, 825, 1219, 2721, 290, 4209, 4311, 267, 13306, 318, 15953, 2187, 1038, 27368, 6155, 3863, 269, 5550, 4311, 269, 4134, 267, 630, 322, 4209, 318, 15953, 269, 10233, 25331, 267, 13306, 318, 15953, 269, 10233, 3052, 267, 13306, 318, 15953, 269, 10233, 12500, 13211, 4449, 1363, 630, 322, 4209, 318, 15953, 16000, 267, 13306, 318, 15953, 6745, 641, 267, 595, 18510, 292, 32707, 8379, 2894, 31064, 267, 595, 18510, 292, 32707, 8379, 2894, 31064, 11723, 825, 1219, 814, 15933, 4311, 2187, 1038, 2132, 1582, 8807, 797, 568, 711, 7183, 692, 825, 1219, 593, 15933, 28343, 4311, 267, 13131, 2187, 1038, 2132, 13131, 23584, 6745, 641, 2652, 1582, 8807, 797, 6745, 641, 543, 13131, 23584, 16000, 2652, 1582, 8807, 797, 16000, 692, 825, 1219, 5352, 30360, 4311, 267, 6060, 2187, 1038, 6060, 6958, 2632, 815, 27368, 8807, 2632, 2529, 903, 293, 2632, 2891, 1260, 923, 753, 916, 2580, 476, 736, 994, 1038, 5835, 815, 27368, 269, 10233, 5861, 565, 528, 2891, 344, 3641, 5602, 1038, 1871, 815, 6060, 6958, 2632, 18622, 837, 2891, 7312, 24143, 281, 2715, 271, 348, 2668, 8971, 19304, 263, 16557, 24270, 6936, 267, 27210, 2018, 5835, 25331, 267, 5835, 3052, 267, 5835, 12500, 4917, 1038, 1582, 269, 4134, 269, 4565, 527, 263, 7407, 267, 1496, 271, 267, 476, 271, 20285, 825, 1219, 2196, 29228, 4311, 2187, 1038, 952, 1582, 269, 4134, 568, 7183, 912, 2018, 1582, 269, 22056, 11514, 2452, 4590, 1038, 521, 815, 31315, 4590, 1038, 1582, 6155, 3863, 27409, 820, 4433, 994, 1038, 6060, 815, 476, 271, 454, 1038, 1582, 269, 2102, 4733, 30360, 263, 16557, 994, 1038, 27368, 269, 5891, 269, 26303, 4590, 1038, 1247, 711, 1582, 3052, 877, 318, 1478, 912, 2018, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 3546, 1820, 16216, 1203, 994, 3546, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 7386, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 13376, 521, 269, 4219, 291, 3925, 20573, 3925, 269, 4041, 10499, 994, 7386, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 13376, 521, 269, 4219, 291, 3925, 20573, 3925, 10611, 20846, 994, 7386, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 13376, 521, 269, 4219, 291, 3925, 20573, 3925, 269, 16810, 994, 7386, 952, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 13376, 521, 269, 4219, 291, 3925, 20573, 3925, 6185, 32052, 994, 7386, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 2464, 290, 4338, 292, 912, 13376, 1582, 3052, 877, 318, 1478, 815, 6936, 454, 3546, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 7386, 1582, 3052, 877, 318, 1478, 815, 8771, 454, 2018, 1582, 269, 4134, 8807, 650, 9230, 18597, 267, 476, 18597, 267, 476, 18597, 4917, 2018, 521, 6230, 913, 4590, 2018, 1582, 6155, 3863, 27409, 820, 4433, 994, 2018, 952, 521, 18994, 17686, 1707, 10031, 3546, 1582, 3052, 877, 318, 1478, 815, 6936, 454, 2018, 952, 711, 1582, 269, 13757, 15933, 10031, 3546, 1582, 8807, 797, 815, 5253, 306, 13645, 4590, 2018, 1582, 6155, 3863, 290, 4209, 4311, 8807, 797, 994, 2018, 952, 1582, 269, 517, 15933, 28343, 4433, 2187, 3546, 1582, 8807, 797, 815, 7183, 454, 3546, 521, 3052, 992, 27409, 820, 4590, 3546, 6060, 6834, 476, 272, 454, 2018, 1582, 269, 2102, 4733, 30360, 263, 16557, 994, 2018, 27368, 269, 5891, 269, 26303, 4590, 2018, 27368, 28333, 269, 5141, 1442, 14061, 339, 1157, 263, 1428, 2020, 1038, 27368, 269, 10181, 4590, 1038, 16718, 30800, 3698, 1292, 10031, 825, 575, 815, 10794, 4590, 825, 575, 269, 14725, 29228, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 338, 1115, 630, 935, 329, 2863, 657, 264, 476, 910, 476, 5590, 7869, 692, 3698, 1292, 10031, 453, 338, 815, 1305, 8443, 272, 267, 476, 273, 267, 476, 274, 7481, 453, 339, 815, 1305, 8443, 274, 267, 476, 275, 267, 476, 276, 20285, 13537, 3488, 306, 1115, 476, 521, 815, 15079, 567, 512, 815, 2715, 4153, 333, 8339, 8971, 4433, 267, 512, 11723, 13537, 18011, 338, 26509, 542, 281, 15079, 8339, 8971, 4433, 26509, 542, 6025, 21875, 13537, 18011, 338, 269, 5793, 7611, 281, 15079, 8339, 8971, 4433, 269, 5793, 7611, 6025, 21875, 13537, 18011, 338, 6155, 29924, 281, 15079, 8339, 8971, 4433, 6155, 29924, 6025, 4297, 2020, 453, 320, 815, 476, 272, 538, 521, 454, 13537, 18011, 315, 333, 14826, 14826, 272, 538, 521, 281, 476, 15079, 8339, 8971, 5416, 4917, 453, 320, 815, 476, 272, 538, 512, 454, 13537, 18011, 272, 538, 512, 281, 476, 15079, 8339, 8971, 5416, 4917, 453, 320, 815, 476, 272, 711, 538, 521, 454, 13537, 3488, 272, 711, 538, 521, 281, 476, 15079, 8339, 8971, 5416, 4917, 453, 320, 815, 476, 272, 711, 538, 512, 454, 13537, 18011, 272, 711, 538, 512, 281, 476, 15079, 8339, 8971, 5416, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 3890, 0, 258, 21886, 7973, 539, 966, 3394, 699, 692, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 29582, 815, 1412, 705, 322, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 11783, 26834, 28847, 3698, 24290, 263, 7798, 267, 1883, 2187, 453, 3667, 815, 1412, 7055, 453, 329, 815, 476, 271, 692, 22610, 1775, 538, 5832, 912, 453, 453, 8999, 272, 815, 705, 322, 26098, 9217, 264, 1341, 705, 322, 26098, 31107, 14728, 4939, 7003, 31107, 264, 7481, 453, 453, 7116, 815, 703, 4433, 636, 272, 264, 4939, 7003, 263, 29582, 994, 453, 453, 3667, 6834, 1193, 263, 29582, 314, 7116, 7481, 453, 453, 329, 6834, 476, 272, 692, 16596, 1257, 692, 3698, 1397, 8548, 20687, 263, 7798, 267, 1883, 2187, 453, 3667, 815, 1412, 7055, 453, 329, 815, 476, 271, 692, 22610, 1775, 538, 5832, 912, 453, 453, 8999, 272, 815, 705, 322, 26098, 9217, 264, 910, 705, 322, 26098, 31107, 14728, 4939, 7003, 31107, 264, 7481, 453, 453, 7116, 815, 703, 4433, 636, 272, 264, 4939, 7003, 263, 29582, 994, 453, 453, 3667, 6834, 1193, 263, 29582, 314, 7116, 7481, 453, 453, 329, 6834, 476, 272, 692, 16596, 1257, 692, 3698, 1292, 10031, 453, 320, 815, 6936, 692, 453, 6112, 513, 912, 453, 453, 641, 5406, 815, 703, 263, 3863, 17750, 3488, 17004, 24606, 815, 476, 271, 14826, 21886, 7973, 5048, 815, 476, 272, 14826, 2750, 527, 815, 476, 273, 14826, 2433, 10807, 2020, 453, 14851, 4781, 2652, 476, 271, 912, 4848, 453, 7798, 8548, 815, 1193, 263, 3863, 17750, 3488, 2237, 513, 1257, 281, 1412, 26895, 12294, 4590, 4848, 453, 4486, 8548, 815, 1193, 263, 3863, 17750, 3488, 2237, 513, 1883, 281, 1412, 26895, 12294, 10797, 4848, 13537, 18011, 315, 333, 14826, 14826, 300, 20687, 281, 2715, 4153, 333, 14826, 14826, 8339, 8971, 263, 19651, 8548, 20687, 263, 7798, 8548, 267, 1883, 8548, 4297, 2020, 453, 453, 19197, 4781, 2652, 476, 272, 912, 4848, 453, 7798, 815, 1193, 263, 3863, 17750, 3488, 2237, 513, 1257, 281, 1412, 26895, 12294, 4590, 4848, 453, 4486, 815, 1193, 263, 3863, 17750, 3488, 2237, 513, 1883, 281, 1412, 26895, 12294, 10797, 4848, 13537, 18011, 315, 333, 14826, 14826, 300, 20687, 281, 2715, 4153, 333, 14826, 14826, 8339, 8971, 263, 16780, 7973, 539, 263, 7798, 267, 1883, 4297, 2020, 453, 28432, 912, 4848, 453, 320, 815, 8771, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 3890, 0, 5814, 942, 454, 5814, 19523, 454, 338, 903, 15630, 516, 15479, 542, 3916, 527, 263, 1911, 876, 994, 3698, 27353, 3799, 2187, 825, 1365, 340, 652, 320, 284, 272, 454, 825, 1247, 562, 285, 272, 912, 1038, 1365, 340, 652, 320, 265, 284, 333, 454, 1038, 562, 268, 284, 272, 454, 825, 2132, 1365, 340, 652, 320, 692, 3698, 27353, 24417, 3799, 2187, 825, 952, 562, 2525, 272, 912, 1038, 2132, 562, 454, 825, 2132, 562, 2608, 27353, 24417, 3799, 268, 272, 2020, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 1384, 825, 635, 1329, 15605, 284, 5503, 28333, 4590, 825, 27353, 263, 1911, 271, 994, 825, 3803, 284, 5503, 28333, 4590, 825, 1820, 3488, 2399, 3645, 3299, 3803, 10687, 1329, 15605, 994, 825, 635, 1329, 15605, 284, 5503, 28333, 4590, 825, 27353, 24417, 263, 1911, 271, 994, 825, 3803, 284, 5503, 28333, 4590, 825, 1820, 3488, 325, 18622, 15479, 16343, 3299, 3803, 10687, 1329, 15605, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6794, 543, 6941, 1946, 519, 2783, 1281, 711, 2196, 538, 3885, 563, 268, 1772, 1703, 513, 595, 675, 585, 3057, 325, 534, 15540, 888, 3674, 972, 513, 10826, 585, 3057, 325, 534, 6794, 286, 1306, 713, 552, 8469, 29552, 5680, 2985, 6941, 267, 972, 568, 1100, 10826, 267, 855, 972, 616, 1896, 1114, 2126, 3681, 602, 666, 7413, 543, 2061, 519, 8374, 540, 713, 4524, 269, 901, 2985, 12909, 827, 519, 3406, 585, 513, 10826, 563, 268, 21890, 8882, 601, 1457, 15540, 454, 298, 1467, 325, 601, 614, 6794, 568, 513, 9606, 10095, 2783, 602, 5540, 5256, 4638, 1646, 269, 901, 552, 8469, 29552, 2985, 2417, 6257, 713, 2783, 267, 1519, 1018, 3123, 621, 543, 875, 621, 568, 5701, 269, 21890, 8882, 601, 1457, 6794, 568, 513, 1455, 4413, 335, 2454, 540, 918, 1467, 325, 601, 614, 6794, 563, 268, 21890, 8882, 601, 614, 15540, 454, 2026, 713, 552, 8469, 29552, 2985, 6941, 267, 918, 1467, 325, 601, 614, 6794, 568, 513, 2783, 602, 5540, 4638, 1646, 538, 2367, 269, 901, 2985, 2417, 6257, 713, 2783, 267, 1519, 519, 3123, 543, 2589, 269, 21890, 8882, 601, 614, 6794, 568, 513, 1455, 4413, 335, 2454, 540, 918, 1467, 325, 601, 614, 6794, 563, 268, 918, 1467, 325, 11839, 15540, 454, 298, 1467, 325, 601, 614, 6794, 568, 513, 1072, 2783, 602, 7679, 31013, 609, 5256, 4638, 1646, 269, 901, 552, 8469, 29552, 2376, 11828, 2009, 4191, 540, 713, 2783, 267, 607, 1134, 607, 2126, 3681, 269, 918, 1467, 325, 11839, 6794, 568, 513, 1455, 4413, 335, 2454, 540, 918, 1467, 325, 601, 614, 6794, 563, 268, 918, 1467, 325, 601, 614, 4534, 634, 8376, 454, 298, 1467, 325, 601, 614, 6794, 568, 513, 4719, 2783, 602, 1152, 4386, 538, 9038, 269, 901, 552, 8469, 29552, 2376, 8638, 930, 1455, 2589, 540, 519, 2068, 543, 6941, 875, 1419, 918, 1467, 325, 601, 614, 6794, 4386, 269, 589, 3095, 547, 811, 538, 3829, 1344, 568, 849, 3177, 269, 0, 763, 19416, 595, 860, 928, 2156, 1492, 331, 12558, 7389, 689, 713, 1974, 2676, 6518, 1082, 1265, 547, 581, 6169, 585, 715, 29126, 338, 2583, 19432, 540, 32411, 269, 715, 30964, 2676, 15367, 10645, 646, 729, 31945, 11584, 1188, 1354, 519, 2021, 630, 320, 8265, 454, 1602, 614, 4547, 1864, 972, 19451, 569, 1310, 715, 30964, 4280, 454, 1729, 581, 3144, 547, 4277, 24738, 1070, 2219, 1152, 519, 14440, 454, 17495, 1022, 6891, 267, 543, 16042, 621, 267, 13351, 513, 1906, 1561, 6665, 2218, 454, 577, 3581, 267, 799, 15685, 1864, 689, 1010, 26900, 267, 543, 2451, 519, 10661, 454, 520, 2899, 269, 2368, 1522, 2503, 519, 1167, 2118, 540, 667, 542, 1736, 547, 723, 11884, 18656, 3022, 5128, 267, 855, 602, 5310, 568, 513, 25302, 2070, 540, 519, 667, 542, 903, 1014, 14544, 585, 7247, 1582, 2173, 2120, 344, 568, 1175, 607, 4105, 269, 2311, 519, 1296, 1439, 267, 646, 2451, 12844, 333, 585, 2274, 760, 345, 580, 267, 513, 1847, 454, 16780, 2227, 3022, 676, 681, 1080, 577, 3149, 1378, 1847, 547, 2274, 760, 345, 580, 454, 1103, 2274, 760, 345, 580, 267, 715, 30964, 4797, 1010, 960, 593, 634, 1758, 529, 267, 5249, 5702, 609, 681, 1080, 577, 331, 267, 543, 729, 851, 540, 513, 2875, 15599, 1670, 8630, 15748, 676, 681, 1080, 577, 331, 269, 715, 30964, 5249, 5702, 593, 589, 525, 577, 2643, 639, 5931, 267, 5206, 606, 1557, 593, 4144, 4094, 525, 5487, 1068, 3780, 267, 543, 1082, 824, 4930, 543, 8039, 799, 1118, 909, 519, 5845, 860, 3821, 269, 4438, 519, 2274, 760, 345, 580, 1296, 267, 715, 30964, 781, 1101, 267, 610, 2101, 10952, 31135, 3357, 609, 1010, 6602, 540, 5576, 13449, 327, 21516, 267, 4171, 6138, 1131, 1459, 3003, 1007, 5380, 540, 13156, 519, 1158, 543, 4734, 1864, 609, 1082, 11495, 2055, 269, 1261, 1224, 634, 2622, 607, 4024, 543, 23830, 5402, 543, 9020, 16484, 267, 24323, 3181, 908, 609, 519, 14544, 1247, 16471, 1010, 1702, 540, 8106, 3332, 609, 1010, 1378, 5030, 2833, 540, 10952, 2152, 282, 8210, 7773, 30323, 1372, 267, 513, 26393, 543, 3659, 540, 715, 30964, 781, 267, 849, 3838, 1010, 15131, 585, 5576, 13449, 327, 21516, 269, 6271, 1713, 3310, 593, 715, 30964, 781, 10952, 4720, 1282, 713, 1974, 729, 674, 6993, 269, 700, 5190, 3778, 540, 7698, 1143, 630, 5908, 277, 1070, 543, 538, 519, 22984, 540, 891, 7214, 7835, 267, 715, 30964, 3459, 547, 2015, 3450, 267, 9415, 676, 519, 679, 1260, 1756, 338, 540, 1010, 20485, 267, 945, 1767, 646, 1185, 1390, 24099, 15421, 269, 5047, 267, 646, 729, 1818, 3646, 547, 2087, 1010, 18340, 2511, 543, 267, 896, 519, 3310, 540, 700, 747, 1084, 6199, 543, 5576, 13449, 327, 21516, 267, 3459, 547, 2328, 21428, 528, 3359, 563, 1103, 476, 5908, 278, 267, 715, 30964, 729, 25997, 547, 6443, 519, 2398, 11701, 8136, 267, 14443, 532, 1010, 15599, 1670, 960, 585, 835, 1032, 269, 4438, 1010, 942, 538, 519, 4108, 267, 646, 13676, 5128, 1247, 20387, 513, 7504, 543, 729, 5555, 10294, 4652, 527, 585, 3028, 543, 5950, 689, 2417, 11645, 269, 715, 30964, 2968, 5432, 609, 23006, 1014, 6138, 1247, 538, 519, 7952, 998, 31311, 334, 674, 29531, 267, 513, 29724, 11860, 656, 1014, 269, 1261, 3323, 1603, 513, 10952, 1557, 267, 17791, 1108, 2094, 23006, 267, 799, 646, 2219, 1131, 581, 1010, 25719, 12031, 267, 855, 713, 1788, 1705, 711, 1570, 1125, 269, 10374, 569, 1310, 1010, 2132, 547, 2274, 760, 345, 580, 267, 646, 5795, 513, 11000, 547, 519, 15599, 1670, 2486, 267, 855, 1010, 14017, 729, 10393, 8237, 1063, 15599, 1108, 543, 6138, 269, 769, 713, 2063, 1032, 538, 2274, 760, 345, 580, 267, 1079, 1390, 2621, 3576, 1747, 538, 715, 30964, 781, 1272, 269, 769, 519, 4098, 540, 519, 4081, 1032, 267, 646, 1558, 543, 2968, 2828, 609, 9400, 25538, 1676, 267, 4171, 1568, 646, 1185, 1044, 5432, 609, 269, 1656, 538, 519, 4098, 540, 476, 5908, 280, 715, 30964, 729, 6074, 547, 581, 7905, 23448, 867, 514, 23581, 693, 30239, 2160, 998, 519, 3310, 540, 681, 1080, 577, 331, 267, 945, 5227, 1864, 609, 1390, 934, 565, 3547, 269, 2311, 8938, 21144, 267, 646, 1131, 1831, 606, 12314, 7548, 1354, 11264, 1010, 4387, 622, 563, 1103, 1010, 6107, 267, 715, 30964, 1185, 607, 18944, 547, 581, 513, 22459, 1991, 547, 2921, 909, 519, 2619, 540, 15599, 1108, 282, 646, 7768, 561, 1221, 518, 543, 21088, 14440, 1568, 267, 855, 1705, 711, 1020, 1010, 7574, 13007, 607, 1131, 513, 3318, 22459, 269, 4935, 547, 2743, 25538, 1676, 267, 835, 540, 519, 900, 5799, 2686, 5515, 540, 1010, 942, 267, 729, 606, 17938, 1791, 908, 1995, 282, 1079, 4374, 1991, 547, 1010, 1101, 7237, 609, 25538, 1676, 538, 2274, 760, 345, 580, 538, 5437, 540, 476, 5908, 279, 267, 715, 30964, 267, 945, 1185, 1044, 5432, 609, 519, 25803, 2575, 2094, 1010, 6107, 267, 1767, 602, 538, 1880, 519, 744, 3200, 675, 547, 12603, 2725, 8651, 5424, 543, 519, 2776, 331, 8775, 547, 570, 2077, 534, 2813, 543, 13455, 538, 1864, 519, 4743, 540, 1373, 5645, 2476, 269, 25538, 1676, 729, 849, 519, 1482, 2085, 607, 715, 29126, 338, 2583, 1279, 21549, 4651, 267, 547, 7247, 519, 22459, 16004, 513, 11495, 11696, 28917, 282, 789, 849, 3838, 1455, 1719, 538, 5576, 13449, 327, 21516, 267, 7247, 25538, 1676, 1767, 729, 519, 1152, 14544, 945, 6956, 519, 9759, 540, 2575, 269, 25538, 1676, 849, 5206, 1568, 593, 1148, 267, 4984, 267, 543, 6214, 267, 543, 741, 8994, 1719, 538, 5259, 13357, 3366, 547, 1082, 4829, 995, 5717, 593, 519, 4644, 540, 1148, 543, 922, 1747, 538, 1272, 269, 1452, 1131, 723, 513, 1390, 1764, 593, 715, 29126, 338, 2583, 1101, 1433, 269, 1717, 267, 741, 2078, 267, 799, 3323, 865, 993, 545, 2406, 267, 1131, 1439, 538, 513, 28230, 1813, 547, 7499, 267, 10952, 2676, 663, 2123, 7526, 543, 3604, 563, 4002, 4989, 476, 1724, 267, 476, 5908, 280, 267, 715, 30964, 2451, 10878, 3518, 4026, 585, 30239, 543, 15646, 6407, 1010, 4436, 15114, 269, 9282, 646, 5030, 538, 16848, 585, 930, 942, 267, 32031, 4170, 6854, 715, 30964, 689, 2965, 4742, 513, 18230, 12504, 267, 3976, 646, 7283, 2493, 6804, 267, 2713, 519, 1360, 1272, 540, 835, 5094, 689, 1533, 267, 4182, 267, 543, 6214, 607, 646, 30833, 538, 1010, 6138, 269, 898, 729, 711, 1152, 32375, 267, 855, 9308, 602, 646, 1131, 543, 2141, 581, 513, 6153, 3864, 563, 4407, 7722, 607, 513, 7548, 630, 515, 1131, 2611, 606, 4081, 585, 855, 4557, 1296, 1070, 715, 30964, 4843, 1010, 22305, 1116, 11000, 267, 799, 729, 593, 25264, 543, 18190, 5845, 1108, 269, 4438, 1010, 942, 972, 267, 646, 6026, 8106, 5259, 267, 4797, 547, 1459, 1857, 15872, 267, 7722, 538, 5188, 609, 9164, 543, 1558, 4749, 609, 25538, 1676, 543, 1010, 7385, 15328, 9874, 267, 945, 5030, 711, 2484, 689, 1864, 693, 17650, 2675, 1156, 267, 799, 646, 5219, 547, 607, 519, 1772, 548, 540, 519, 645, 1652, 539, 269, 715, 30964, 849, 1558, 15243, 8738, 1188, 14551, 339, 267, 519, 1134, 8153, 14787, 540, 2528, 267, 945, 6026, 1686, 540, 3504, 5259, 2528, 693, 30239, 630, 20130, 960, 729, 3370, 2022, 21065, 3585, 607, 12603, 717, 686, 3663, 27528, 918, 738, 584, 2471, 577, 747, 974, 1040, 8738, 1188, 14551, 339, 1185, 519, 16994, 2631, 540, 513, 14787, 543, 606, 4230, 1393, 1620, 540, 519, 6418, 6384, 540, 3504, 4529, 267, 543, 713, 1264, 7757, 715, 30964, 781, 3801, 693, 606, 7664, 540, 3504, 5259, 10340, 269, 715, 30964, 543, 8738, 1188, 14551, 339, 13984, 1142, 1866, 15872, 543, 1185, 1279, 5717, 593, 5259, 2528, 267, 799, 849, 15983, 6766, 715, 29126, 338, 2583, 1101, 960, 269, 2755, 693, 30239, 267, 715, 30964, 849, 581, 325, 686, 2105, 30686, 3683, 20198, 267, 519, 4168, 31188, 1014, 267, 543, 26081, 5341, 918, 7238, 1088, 6308, 267, 513, 2875, 540, 715, 30964, 781, 267, 945, 2663, 2968, 606, 22968, 21917, 896, 519, 15554, 7716, 8834, 22050, 269, 1261, 1599, 539, 607, 715, 29126, 338, 2583, 993, 534, 340, 18424, 267, 11049, 1010, 12591, 543, 6169, 15105, 575, 4150, 903, 282, 2509, 519, 1439, 540, 715, 29126, 338, 2583, 1272, 267, 621, 729, 1767, 602, 22050, 729, 519, 1152, 1268, 5827, 540, 21264, 532, 519, 15806, 1688, 2914, 3876, 269, 4438, 1010, 942, 607, 513, 7548, 267, 715, 30964, 6026, 5259, 32333, 267, 5259, 6965, 267, 543, 18573, 543, 519, 840, 268, 5522, 520, 4577, 15806, 269, 769, 519, 29291, 267, 646, 729, 2324, 2509, 513, 2101, 8313, 543, 1603, 3594, 547, 602, 1439, 282, 891, 3594, 1131, 2663, 1106, 519, 13557, 540, 715, 30964, 781, 1101, 1433, 267, 634, 17510, 540, 3004, 3022, 344, 267, 4171, 3312, 2140, 729, 772, 3464, 1440, 2426, 3768, 2098, 1408, 3541, 3004, 326, 7238, 23135, 1496, 27670, 543, 25779, 540, 3004, 3022, 344, 3910, 3370, 538, 476, 6942, 272, 563, 11666, 1132, 593, 8525, 476, 274, 10756, 2414, 4309, 3135, 10311, 267, 3377, 267, 543, 23318, 689, 12135, 3842, 4757, 269, 1677, 798, 865, 267, 596, 3274, 991, 547, 1683, 707, 4757, 2232, 2630, 563, 257, 1862, 9526, 532, 593, 1454, 5892, 10002, 21242, 543, 3768, 4593, 1380, 539, 715, 30964, 1570, 267, 2506, 6577, 12116, 519, 1909, 540, 14165, 543, 7664, 267, 15260, 1068, 532, 519, 10083, 540, 20116, 547, 6138, 267, 538, 19283, 766, 609, 715, 30964, 781, 1378, 6898, 543, 2853, 4840, 257, 1862, 763, 4222, 540, 27672, 517, 779, 1433, 568, 602, 621, 1281, 711, 8806, 1865, 519, 3310, 540, 16817, 779, 2219, 593, 715, 30964, 610, 17048, 2798, 540, 16726, 543, 3017, 4840, 1607, 1007, 8144, 540, 715, 30964, 779, 3172, 636, 1566, 639, 568, 676, 2484, 519, 1655, 2139, 538, 519, 2296, 1893, 269, 898, 1058, 1265, 922, 1259, 547, 519, 11380, 540, 782, 1053, 945, 798, 711, 723, 1569, 547, 519, 3312, 4436, 563, 9336, 2875, 540, 715, 30964, 538, 519, 4911, 331, 25869, 1158, 1058, 1224, 713, 1433, 269, 898, 568, 513, 1034, 2111, 2126, 540, 513, 1454, 268, 793, 1819, 543, 1454, 2173, 529, 25969, 1888, 2673, 547, 519, 1360, 2295, 540, 519, 12591, 540, 713, 25761, 1589, 518, 269, 0, 20458, 1689, 786, 1860, 2104, 2095, 543, 8143, 20816, 540, 8933, 269, 901, 786, 2047, 1860, 15195, 9249, 543, 5117, 1072, 269, 769, 1880, 3165, 2249, 267, 799, 616, 9244, 9862, 547, 513, 1978, 1377, 540, 2095, 13260, 786, 581, 6213, 547, 2104, 2242 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1883, 14238, 780, 1012, 29938, 692, 763, 19332, 29905, 3085, 1405, 723, 547, 946, 519, 2596, 9904, 267, 621, 666, 581, 9450, 547, 1331, 1312, 5580, 543, 2539, 4484, 267, 2338, 267, 18685, 267, 1585, 824, 6698, 267, 3092, 269, 19452, 267, 26897, 689, 4914, 4654, 666, 581, 1031, 780, 288, 19332, 29905, 3096, 519, 1482, 6521, 585, 782, 5022, 538, 519, 5048, 267, 855, 972, 616, 7648, 1141, 519, 6521, 2242, 689, 4484, 547, 4484, 269, 6423, 835, 6066, 14950, 585, 513, 811, 7294, 4528, 780, 1012, 5358, 692, 1607, 5131, 289, 3008, 2975, 1982, 786, 31391, 10750, 3667, 543, 1232, 1712, 29905, 3667, 547, 1022, 9138, 6521, 2179, 780, 3499, 262, 901, 1982, 786, 31391, 610, 1232, 1712, 1257, 676, 1210, 513, 19332, 630, 3333, 3424, 264, 29905, 563, 262, 14645, 476, 1001, 280, 268, 6187, 268, 1240, 910, 25760, 570, 619, 793, 328, 692, 291, 574, 1306, 1635, 974, 15585, 622, 454, 291, 574, 1306, 21642, 30577, 17806, 454, 291, 574, 1306, 21642, 595, 8327, 17806, 454, 291, 574, 1306, 21642, 14893, 454, 291, 574, 1306, 6715, 518, 9255, 454, 291, 574, 1306, 21642, 14594, 454, 291, 574, 1306, 2475, 327, 677, 8943, 692, 2710, 454, 19152, 834, 263, 292, 264, 333, 13892, 610, 630, 291, 264, 1815, 1712, 286, 14307, 14893, 454, 19530, 692, 2419, 4069, 815, 17459, 848, 263, 2419, 4069, 2020, 15675, 8865, 14893, 454, 19111, 834, 292, 2580, 834, 291, 4840, 2750, 527, 1684, 454, 19111, 22527, 454, 19530, 834, 8923, 4283, 661, 610, 667, 4799, 19530, 454, 17484, 8564, 454, 299, 17274, 692, 2252, 14893, 815, 834, 292, 257, 3973, 454, 19152, 834, 13911, 519, 10750, 3667, 547, 31391, 281, 14307, 30577, 17806, 454, 5522, 664, 17806, 815, 17459, 848, 263, 5522, 664, 17806, 2020, 2710, 454, 19152, 834, 1692, 1454, 547, 17967, 4464, 630, 272, 268, 1839, 21663, 14307, 15585, 622, 454, 19530, 692, 2252, 15585, 622, 3436, 476, 271, 1656, 15585, 622, 2999, 476, 2918, 3973, 454, 2750, 527, 1684, 454, 14976, 572, 454, 19530, 834, 8923, 4283, 513, 1297, 689, 476, 272, 547, 476, 1839, 4799, 17484, 1403, 454, 299, 17274, 692, 2690, 9255, 815, 476, 272, 1677, 22255, 263, 5522, 664, 17806, 994, 4131, 614, 815, 11068, 263, 5522, 664, 17806, 267, 9255, 267, 476, 272, 994, 24927, 815, 32412, 263, 4131, 614, 994, 2252, 8943, 3436, 476, 5038, 1656, 8943, 2999, 476, 11011, 3973, 454, 24927, 815, 8943, 1341, 15585, 622, 454, 2252, 8943, 3436, 476, 3445, 3973, 454, 24927, 815, 8943, 910, 476, 2918, 454, 17484, 1403, 454, 17484, 1403, 454, 290, 8327, 17806, 815, 595, 8327, 17806, 1341, 932, 337, 18154, 1712, 994, 9202, 9255, 692, 19530, 834, 7312, 29905, 3667, 568, 281, 834, 1341, 595, 8327, 17806, 454, 14976, 572, 454, 19152, 834, 11767, 519, 29905, 3667, 547, 1232, 1712, 281, 14307, 595, 8327, 17806, 454, 290, 8327, 17806, 815, 17459, 848, 18154, 8327, 17806, 2020, 2710, 454, 19152, 834, 1692, 1454, 547, 17967, 18807, 630, 272, 268, 1839, 21663, 14307, 15585, 622, 454, 19530, 692, 2252, 15585, 622, 3436, 476, 271, 1656, 15585, 622, 2999, 476, 2918, 3973, 454, 2750, 527, 1684, 454, 14976, 572, 454, 19530, 834, 8923, 4283, 513, 1297, 689, 476, 272, 547, 476, 1839, 4799, 17484, 1403, 454, 299, 17274, 692, 2690, 9255, 815, 476, 272, 1677, 22255, 18154, 8327, 17806, 994, 4131, 614, 815, 11068, 18154, 8327, 17806, 267, 9255, 267, 476, 272, 994, 24927, 815, 32412, 263, 4131, 614, 994, 2252, 8943, 3436, 476, 5038, 1656, 8943, 2999, 476, 11011, 3973, 454, 24927, 815, 8943, 910, 15585, 622, 454, 2252, 8943, 2999, 476, 4792, 3973, 454, 24927, 815, 8943, 1341, 476, 2918, 454, 17484, 1403, 454, 17484, 1403, 454, 5522, 664, 17806, 815, 30577, 17806, 1341, 932, 337, 18154, 1712, 994, 9202, 9255, 692, 19530, 834, 7312, 10750, 3667, 568, 281, 834, 1341, 30577, 17806, 454, 17484, 1403, 692, 28036, 454, 3499, 0, 258, 1323, 31164, 6906, 814, 1079, 14622, 693, 519, 2798, 692, 9223, 1384, 2304, 31164, 6906, 814, 1079, 14622, 693, 519, 2798, 630, 274, 267, 476, 275, 264, 543, 630, 6629, 273, 267, 476, 274, 1070, 1265, 519, 10974, 540, 519, 3791, 14584, 780, 11405, 1384, 763, 3845, 1269, 323, 259, 1063, 1079, 2798, 4399, 3847, 3287, 3709, 272, 9574, 586, 3709, 272, 4153, 2431, 7751, 543, 4399, 3847, 3287, 3709, 273, 9574, 586, 3709, 273, 4153, 2431, 7751, 568, 2016, 676, 519, 4542, 692, 259, 323, 7807, 6912, 3189, 3847, 3287, 3709, 272, 18511, 343, 3709, 273, 4153, 2431, 22722, 273, 23180, 3847, 12169, 3709, 272, 18511, 344, 3709, 273, 4153, 2431, 22722, 273, 32556, 1103, 606, 31164, 6906, 782, 519, 5011, 616, 540, 3160, 3259, 780, 2080, 649, 616, 2016, 602, 1109, 263, 4097, 264, 543, 1109, 263, 2537, 264, 616, 1079, 14622, 540, 606, 31164, 6906, 269, 2913, 1109, 290, 3287, 267, 586, 264, 581, 519, 3791, 14584, 540, 519, 31164, 6906, 780, 5575, 1577, 721, 1265, 856, 519, 3259, 540, 519, 2427, 540, 519, 31164, 6906, 780, 259, 288, 645, 7807, 6912, 18950, 274, 266, 273, 22722, 273, 15396, 263, 275, 268, 274, 22722, 273, 32556, 259, 7807, 6912, 18950, 276, 22722, 273, 15396, 263, 272, 22722, 273, 32556, 259, 7807, 6912, 346, 1839, 266, 272, 10592, 259, 288, 645, 7807, 6912, 346, 2918, 10592, 17798, 519, 2427, 540, 519, 31164, 6906, 3800, 4399, 6912, 346, 2918, 4151, 4559, 780, 3086, 267, 2094, 621, 568, 606, 31164, 6906, 267, 782, 519, 5011, 991, 547, 2268, 519, 1482, 3259, 780, 17798, 649, 723, 1269, 289, 595, 284, 288, 595, 6911, 259, 289, 595, 7807, 6912, 346, 8987, 273, 14870, 22722, 273, 15396, 263, 274, 3917, 22722, 273, 32556, 259, 288, 595, 7807, 6912, 18950, 274, 14870, 22722, 273, 15396, 263, 275, 3917, 22722, 273, 32556, 13420, 908, 1312, 891, 4834, 649, 723, 10484, 7445, 6912, 346, 8987, 273, 14870, 22722, 273, 15396, 263, 274, 3917, 22722, 273, 3686, 7807, 6912, 18950, 274, 14870, 22722, 273, 15396, 263, 275, 3917, 22722, 273, 32556, 306, 638, 2130, 593, 1312, 5011, 649, 723, 10484, 259, 8987, 273, 14870, 22722, 273, 15396, 263, 274, 3917, 22722, 273, 13157, 263, 274, 14870, 22722, 273, 15396, 263, 275, 3917, 22722, 273, 10592, 259, 275, 21147, 3867, 273, 15396, 275, 1535, 266, 280, 20742, 3867, 273, 18511, 277, 586, 284, 280, 21147, 3867, 273, 18511, 277, 1535, 266, 1626, 20742, 3867, 273, 18511, 279, 586, 6911, 259, 1015, 1535, 266, 273, 586, 284, 1321, 6911, 259, 276, 1535, 20742, 284, 277, 6911, 5804, 519, 1657, 3830, 649, 723, 267, 1269, 344, 284, 277, 268, 276, 1535, 6911, 27802, 23082, 713, 543, 519, 1871, 540, 519, 2427, 540, 519, 6906, 538, 519, 3830, 585, 835, 540, 519, 5011, 649, 723, 10484, 259, 289, 595, 7807, 6912, 346, 8987, 273, 14870, 22722, 273, 15396, 263, 274, 3917, 22722, 273, 32556, 7445, 6912, 346, 2918, 18098, 6912, 346, 8987, 273, 14870, 22722, 273, 15396, 263, 274, 268, 277, 266, 276, 1535, 22722, 273, 32556, 306, 638, 2130, 593, 1312, 5011, 10484, 259, 2918, 284, 8987, 273, 14870, 22722, 273, 15396, 8987, 274, 266, 276, 1535, 22722, 273, 10592, 259, 2918, 284, 275, 21147, 3867, 273, 15396, 275, 1535, 266, 280, 266, 1839, 1535, 3867, 273, 18511, 1789, 1535, 6911, 259, 1724, 284, 2918, 1535, 3867, 273, 18511, 2918, 1535, 6911, 259, 272, 284, 273, 1535, 3867, 273, 18511, 273, 1535, 6911, 3086, 649, 723, 513, 13392, 3830, 585, 2048, 343, 9957, 14572, 585, 519, 5072, 540, 713, 3830, 10484, 259, 273, 1535, 3867, 273, 18511, 273, 1535, 268, 272, 284, 271, 6911, 259, 343, 7807, 2765, 346, 273, 1422, 10975, 1422, 6912, 346, 275, 268, 275, 263, 273, 7565, 268, 272, 264, 12453, 275, 10592, 259, 7807, 2765, 346, 273, 1422, 10975, 1422, 6912, 346, 1321, 12453, 275, 10592, 259, 343, 7807, 2765, 346, 272, 1422, 10975, 1422, 6912, 346, 274, 12453, 273, 10592, 2171, 917, 602, 1269, 344, 284, 277, 268, 276, 1535, 10608, 15240, 23082, 519, 1871, 540, 1412, 1269, 343, 259, 1412, 649, 723, 10484, 259, 344, 284, 277, 268, 276, 13375, 7268, 2765, 346, 272, 1422, 10975, 1422, 6912, 346, 274, 12453, 273, 4153, 2431, 22491, 259, 7807, 2765, 346, 1321, 268, 276, 1422, 5404, 476, 276, 1422, 6912, 346, 274, 12453, 273, 10592, 259, 344, 7807, 2765, 346, 278, 1422, 5404, 476, 276, 1422, 6912, 346, 274, 12453, 273, 10592, 17798, 519, 1079, 2009, 2418, 540, 519, 3791, 14584, 616, 4399, 2765, 346, 272, 10954, 6912, 346, 274, 12453, 273, 9574, 1422, 2765, 346, 278, 268, 276, 1422, 6912, 346, 274, 12453, 273, 4151, 543, 4399, 2765, 346, 272, 10559, 6912, 346, 274, 12453, 273, 9574, 1422, 2765, 346, 278, 266, 276, 1422, 6912, 346, 274, 12453, 273, 23201, 0, 272, 269, 12361, 7412, 3955, 6549, 692, 296, 991, 948, 609, 2870, 5078, 6724, 547, 4194, 519, 7533, 692, 628, 3471, 692, 273, 269, 12361, 1234, 281, 7412, 3955, 6549, 692, 7712, 596, 616, 10128, 2059, 519, 2619, 1269, 15383, 317, 273, 284, 272, 259, 596, 666, 946, 621, 538, 707, 7533, 630, 3602, 2479, 2009, 1040, 1924, 707, 7533, 3587, 692, 7445, 842, 318, 272, 317, 275, 1422, 3847, 3287, 317, 273, 910, 552, 13064, 343, 4153, 2431, 264, 15848, 1341, 1422, 842, 318, 272, 3867, 272, 270, 273, 348, 1422, 3847, 263, 1422, 2765, 346, 273, 2410, 344, 317, 274, 348, 1341, 1422, 6523, 586, 9368, 264, 10085, 6911, 274, 269, 12361, 1234, 281, 7412, 3955, 6549, 692, 32452, 267, 602, 781, 1360, 15931, 256, 795, 517, 333, 2643, 267, 952, 621, 1185, 711, 5249, 856, 602, 23182, 630, 528, 267, 899, 803, 267, 596, 4769, 1405, 1294, 547, 519, 4295, 607, 3533, 607, 667, 15967, 1070, 1934, 781, 519, 2182, 1259, 912, 5804, 1269, 15383, 317, 273, 284, 476, 272, 8961, 596, 723, 1269, 343, 284, 1422, 2765, 346, 272, 2410, 344, 317, 273, 13157, 586, 13064, 273, 4151, 865, 1269, 11459, 284, 910, 273, 344, 13064, 274, 348, 11276, 284, 1422, 2765, 24877, 273, 2410, 344, 317, 274, 348, 11276, 10608, 3767, 267, 1269, 343, 317, 275, 344, 317, 275, 284, 1422, 2765, 26635, 317, 275, 2410, 344, 317, 279, 13157, 586, 13064, 275, 20954, 1269, 343, 317, 273, 344, 317, 273, 284, 1422, 2765, 26635, 317, 273, 2410, 344, 317, 275, 13157, 586, 13064, 273, 20954, 4399, 2765, 346, 273, 343, 2410, 344, 13157, 1422, 2765, 346, 273, 2410, 263, 344, 317, 273, 7565, 344, 264, 13157, 1422, 2765, 346, 273, 2410, 344, 317, 274, 20954, 543, 1269, 15383, 317, 274, 284, 1422, 2765, 26635, 317, 274, 2410, 344, 317, 273, 13157, 586, 10608, 2334, 2306, 519, 2619, 7533, 454, 7445, 842, 318, 272, 3867, 272, 270, 273, 4153, 3847, 24560, 3847, 12169, 13064, 275, 18511, 552, 13064, 344, 13064, 273, 14990, 2431, 9385, 3847, 8987, 273, 344, 13064, 274, 348, 11276, 9368, 11924, 630, 273, 344, 13064, 274, 15396, 5430, 12169, 4297, 11276, 9368, 316, 259, 0, 269, 4586, 563, 13640, 5537, 31446, 27989, 454, 563, 780, 288, 574, 692, 2414, 1374, 6252, 31446, 5547, 543, 1265, 856, 519, 1699, 13576, 5247, 7676, 1142, 5057, 780, 7343, 541, 9850, 1384, 5715, 340, 2758, 267, 7167, 659, 3218, 267, 8028, 1379, 2707, 267, 993, 31461, 267, 18699, 31461, 267, 4276, 5911, 3092, 269, 780, 763, 800, 1384, 1103, 519, 28176, 6516, 3254, 2630, 267, 649, 1397, 513, 6252, 5547, 5627, 606, 4998, 32366, 766, 543, 606, 4998, 31887, 4448, 538, 6252, 609, 1142, 824, 543, 609, 606, 4998, 5365, 6453, 2707, 269, 4935, 10484, 6097, 547, 7937, 332, 781, 4521, 1384, 2252, 649, 2268, 519, 1699, 3177, 676, 519, 2707, 267, 649, 1265, 602, 621, 568, 476, 271, 269, 6246, 288, 2443, 519, 3017, 1063, 1775, 299, 543, 1775, 290, 269, 634, 2243, 547, 581, 4280, 827, 713, 5547, 1287, 568, 267, 834, 8489, 1281, 519, 3063, 1699, 538, 1312, 700, 543, 595, 2097, 689, 267, 543, 1141, 1281, 621, 979, 12482, 763, 10321, 602, 4019, 547, 713, 5547, 2285, 519, 2626, 267, 607, 3254, 593, 519, 1318, 1688, 2427, 269, 3371, 267, 519, 6453, 568, 519, 1482, 10876, 538, 513, 6252, 5547, 267, 865, 649, 946, 621, 607, 519, 4704, 269, 1703, 568, 1100, 4187, 267, 865, 649, 723, 1100, 1699, 5057, 538, 5123, 609, 519, 4294, 6453, 780, 2171, 2907, 917, 602, 1699, 561, 4711, 6453, 676, 476, 3445, 4113, 538, 606, 32366, 766, 267, 865, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 20587, 1137, 281, 17773, 547, 20587, 692, 9339, 8074, 281, 634, 6176, 1657, 713, 1448, 786, 711, 581, 2366, 547, 707, 17002, 28612, 692, 3503, 519, 8454, 2630, 607, 21159, 476, 1428, 22397, 482, 1911, 815, 476, 1428, 260, 476, 1724, 22397, 482, 1911, 815, 476, 1724, 260, 476, 2412, 22397, 482, 1911, 815, 476, 2412, 260, 476, 272, 22397, 482, 1911, 815, 476, 272, 260, 476, 3393, 22397, 482, 1911, 815, 476, 3393, 260, 476, 279, 22397, 482, 1911, 815, 476, 279, 260, 476, 278, 22397, 482, 1015, 815, 476, 3583, 260, 476, 1428, 22397, 482, 2004, 815, 476, 1789, 260, 476, 736, 22397, 482, 2004, 815, 476, 2412, 260, 476, 1321, 22397, 482, 1839, 815, 476, 4366, 260, 476, 866, 22397, 482, 736, 284, 476, 4817, 260, 476, 6246, 22397, 482, 2004, 284, 476, 10436, 260, 476, 280, 22397, 482, 1015, 284, 476, 3445, 260, 476, 272, 22397, 482, 1015, 815, 476, 1015, 260, 476, 866, 22397, 482, 2004, 815, 476, 4343, 260, 476, 1626, 22397, 482, 1839, 815, 476, 5038, 260, 476, 275, 22397, 482, 736, 815, 476, 736, 260, 476, 5325, 22397, 482, 2004, 815, 476, 11463, 30515, 9339, 8074, 281, 634, 6176, 2630, 713, 1448, 786, 711, 581, 2366, 547, 707, 17002, 28612, 692, 2162, 13565, 8249, 692, 763, 1585, 2200, 7396, 2630, 616, 13988, 547, 519, 1482, 3044, 267, 630, 277, 14641, 6734, 264, 3144, 689, 519, 595, 5425, 300, 630, 13349, 11759, 11621, 1280, 9119, 264, 607, 519, 20587, 1137, 8018, 3254, 1657, 780, 8196, 5223, 543, 2557, 7744, 547, 4194, 1483, 8996, 543, 6310, 2042, 267, 552, 3052, 1421, 676, 7744, 827, 7515, 540, 6697, 12753, 267, 11746, 12222, 267, 5595, 1297, 1899, 12222, 267, 610, 4834, 780, 1892, 5269, 7515, 540, 6697, 12753, 11341, 9424, 609, 2898, 5991, 3784, 7403, 267, 1265, 7508, 2418, 538, 519, 7515, 267, 543, 4729, 519, 8424, 540, 2418, 593, 519, 11282, 7077, 269, 2422, 7515, 547, 5635, 12753, 563, 1892, 16534, 1770, 2557, 2042, 1519, 1346, 5473, 1770, 14499, 543, 3586, 3432, 269, 1280, 1383, 267, 952, 621, 3576, 476, 278, 3108, 547, 544, 578, 476, 275, 1876, 985, 267, 1287, 693, 602, 2557, 267, 875, 1082, 1876, 985, 1223, 581, 544, 15735, 538, 476, 3374, 3108, 286, 2311, 1018, 2557, 941, 1876, 985, 1373, 544, 15735, 888, 1892, 4855, 513, 2600, 540, 513, 7274, 607, 513, 2557, 829, 476, 1911, 630, 324, 3052, 1421, 476, 1789, 260, 540, 513, 7274, 1797, 476, 1789, 270, 1911, 2053, 519, 7274, 5148, 4194, 2042, 5473, 4466, 519, 2898, 267, 2016, 513, 851, 543, 519, 2600, 563, 1892, 2422, 5223, 7744, 547, 6460, 6482, 4559, 282, 13861, 543, 2981, 4559, 14013, 950, 14921, 610, 12270, 9424, 780, 2971, 8018, 692, 7462, 8018, 31098, 692, 13436, 547, 519, 1657, 17609, 267, 519, 2200, 2630, 616, 13988, 547, 1644, 4441, 538, 519, 5871, 11759, 1280, 9119, 602, 1927, 1489, 519, 1739, 1565, 6364, 1384, 308, 2955, 5223, 2035, 543, 946, 5223, 7744, 547, 4194, 2042, 692, 2162, 16473, 31421, 692, 12812, 519, 6402, 2630, 585, 1344, 543, 948, 593, 7231, 609, 11648, 269, 0, 29727, 850, 534, 12810, 540, 25021, 13368, 525, 692, 1607, 3296, 6799, 513, 2582, 6516, 602, 4564, 513, 3001, 7406, 6772, 4660, 593, 513, 19335, 7406, 269, 634, 942, 7852, 540, 519, 3001, 7406, 568, 29352, 2509, 519, 3001, 4287, 780, 1103, 3105, 3296, 267, 649, 4843, 7585, 781, 7406, 543, 25138, 781, 7406, 607, 5094, 12222, 269, 1284, 666, 849, 6772, 599, 1312, 14604, 538, 513, 2582, 6516, 543, 1832, 519, 1699, 4087, 540, 1843, 744, 6772, 11474, 607, 513, 2582, 1448, 1384, 1103, 519, 1657, 6516, 267, 10974, 540, 1312, 14604, 616, 9738, 607, 26667, 11282, 1949, 269, 634, 5169, 540, 519, 25138, 781, 7406, 538, 4544, 2681, 568, 3001, 693, 513, 3432, 540, 642, 269, 634, 22191, 534, 7004, 568, 5693, 4843, 676, 3168, 693, 519, 3017, 540, 9883, 689, 1843, 744, 547, 512, 7852, 543, 512, 262, 7852, 780, 4913, 267, 1158, 3515, 540, 25138, 267, 7585, 543, 1843, 744, 616, 4843, 609, 1114, 3515, 585, 1114, 14604, 269, 1284, 666, 849, 23590, 519, 6516, 547, 14458, 1346, 1158, 3515, 676, 1384, 1892, 18227, 8129, 540, 1312, 14604, 6772, 11474, 607, 513, 2582, 1448, 782, 519, 942, 563, 1892, 15585, 908, 512, 262, 7852, 547, 6474, 519, 1158, 1899, 540, 25138, 538, 7585, 781, 7406, 563, 1892, 1763, 322, 2718, 512, 262, 7852, 865, 602, 512, 262, 11224, 547, 519, 512, 952, 789, 616, 693, 519, 1482, 8880, 1377, 563, 1892, 18227, 1535, 262, 7852, 607, 568, 780, 2026, 596, 666, 1294, 267, 1631, 1158, 3515, 540, 25138, 267, 7585, 543, 1843, 744, 616, 9985, 9838, 538, 1312, 14604, 269, 634, 22191, 534, 7004, 1063, 1079, 14604, 568, 5693, 4843, 538, 513, 2582, 2241, 6516, 269, 2913, 781, 1289, 621, 22191, 534, 6516, 780, 763, 1152, 17498, 728, 540, 519, 22191, 534, 6516, 568, 602, 512, 262, 7852, 568, 1100, 3476, 26667, 547, 1535, 262, 543, 512, 262, 814, 513, 1114, 4336, 982, 512, 780, 2414, 3313, 519, 10974, 630, 311, 3299, 307, 10807, 540, 606, 2680, 538, 630, 343, 3299, 339, 10807, 7406, 267, 649, 723, 547, 1384, 1892, 8571, 513, 1899, 6252, 547, 512, 262, 543, 8429, 998, 519, 2680, 269, 634, 10167, 1448, 540, 713, 1899, 593, 519, 1535, 262, 7852, 568, 519, 2542, 540, 2473, 23823, 1892, 8571, 513, 1899, 6252, 547, 1535, 262, 543, 8429, 998, 519, 2680, 269, 634, 10167, 1448, 540, 713, 1899, 593, 519, 512, 7852, 568, 519, 2542, 540, 570, 262, 780, 8310, 9337, 281, 476, 1001, 275, 269, 0, 289, 3918, 288, 32578, 21832, 306, 454, 31590, 752, 529, 12354, 320, 28353, 692, 1012, 12834, 692, 31590, 752, 529, 12354, 320, 28353, 692, 13911, 18280, 534, 4396, 454, 290, 2135, 2678, 6516, 454, 3519, 3118, 10035, 737, 302, 454, 293, 864, 1826, 966, 274, 269, 279, 269, 279, 692, 529, 30801, 6906, 454, 293, 2167, 476, 2190, 454, 10955, 2471, 476, 3607, 454, 309, 1068, 1182, 476, 1691, 454, 309, 1068, 1182, 676, 1826, 476, 279, 346, 274, 15396, 277, 346, 279, 8679, 15228, 11496, 1895, 7937, 267, 645, 274, 267, 1496, 275, 267, 274, 3910, 30916, 28242, 994, 305, 21320, 1895, 744, 267, 1496, 275, 267, 274, 27994, 267, 630, 28242, 994, 13312, 14366, 5086, 476, 15704, 4113, 2641, 12664, 876, 16357, 454, 541, 764, 657, 263, 6629, 274, 1341, 476, 11025, 270, 1704, 994, 19187, 2906, 23756, 267, 3068, 20675, 1438, 692, 307, 14725, 322, 730, 13306, 454, 263, 706, 531, 4874, 28353, 2020, 15187, 692, 1103, 9511, 267, 513, 2468, 752, 529, 12354, 320, 28353, 630, 528, 4645, 4689, 959, 529, 24934, 320, 28353, 314, 272, 316, 610, 737, 529, 24934, 320, 28353, 314, 273, 8079, 568, 606, 5246, 574, 539, 6756, 12242, 4396, 267, 610, 513, 18280, 534, 4396, 269, 4706, 12242, 568, 519, 959, 15635, 730, 13306, 780, 2005, 666, 581, 2938, 607, 606, 12354, 320, 28353, 609, 21083, 26829, 3773, 547, 1142, 3068, 282, 602, 568, 267, 621, 568, 519, 21890, 564, 2100, 540, 519, 12354, 320, 28353, 269, 898, 568, 849, 3006, 1572, 513, 959, 529, 24934, 320, 28353, 267, 610, 267, 811, 4628, 267, 4645, 4689, 959, 529, 24934, 320, 28353, 269, 5637, 4408, 2992, 602, 621, 814, 1614, 21083, 8188, 585, 1169, 3068, 540, 606, 12354, 320, 28353, 269, 634, 15067, 4048, 4689, 959, 529, 24934, 320, 28353, 568, 1776, 2012, 585, 519, 1642, 339, 18042, 9079, 21627, 25523, 28353, 267, 513, 1114, 4874, 28353, 609, 1614, 29105, 8188, 585, 1169, 3068, 540, 606, 12354, 320, 28353, 780, 1607, 23756, 4874, 28353, 568, 1283, 10999, 2147, 547, 519, 6677, 1511, 588, 749, 730, 12354, 320, 28353, 269, 1358, 723, 519, 1482, 3068, 14479, 267, 855, 519, 14622, 616, 538, 1114, 3448, 9883, 689, 519, 4099, 780, 2252, 922, 10156, 8728, 723, 3259, 476, 272, 267, 922, 2627, 1858, 543, 4320, 616, 1384, 3189, 6234, 11513, 8218, 25410, 348, 288, 261, 284, 274, 3189, 6912, 2715, 278, 266, 275, 3189, 6912, 2715, 273, 3686, 3686, 11138, 309, 261, 284, 3189, 2765, 2715, 274, 266, 273, 3189, 6912, 2715, 273, 3686, 2410, 273, 14990, 754, 25410, 3686, 10926, 1012, 31951, 10974, 692, 21607, 12276, 6234, 1422, 10401, 815, 3189, 6912, 2715, 273, 3686, 268, 272, 20954, 1287, 519, 476, 1691, 2798, 12276, 6234, 22570, 10975, 1422, 10401, 2073, 315, 10975, 1422, 10401, 2073, 315, 10975, 1422, 10401, 3738, 4151, 543, 12276, 6234, 22570, 10975, 476, 272, 267, 271, 267, 271, 264, 20954, 12276, 6234, 630, 271, 12101, 10975, 476, 272, 267, 271, 264, 4151, 543, 12276, 6234, 630, 271, 267, 271, 12101, 10975, 476, 272, 264, 4151, 616, 519, 14622, 540, 513, 2468, 752, 529, 12354, 320, 28353, 10704, 693, 519, 5169, 780, 763, 3259, 540, 519, 1279, 8728, 11224, 12276, 6234, 11513, 6912, 2715, 273, 3686, 20954, 543, 602, 540, 519, 2110, 8728, 12276, 6234, 476, 273, 3189, 6912, 2715, 273, 3686, 268, 273, 31859, 763, 8188, 616, 568, 30801, 12730, 609, 835, 1073, 339, 2224, 543, 1079, 8650, 7285, 269, 634, 1073, 339, 2224, 5086, 11224, 12276, 6234, 1422, 541, 764, 657, 263, 3189, 2765, 2715, 272, 2410, 275, 3686, 268, 3189, 2765, 2715, 272, 2410, 273, 24828, 6912, 2715, 273, 3686, 9385, 13627, 476, 14056, 269, 1220, 20867, 31816, 20867, 23884, 20867, 1626, 17353, 15132, 476, 22288, 543, 519, 8650, 3283, 3160, 12276, 6234, 1422, 541, 764, 657, 263, 3189, 2765, 2715, 272, 2410, 273, 3686, 266, 3189, 2765, 2715, 272, 2410, 275, 24828, 6912, 2715, 273, 3686, 9385, 13627, 476, 4029, 269, 274, 4200, 20867, 278, 1691, 20867, 3199, 280, 20867, 10844, 17353, 15132, 31998, 16859, 1012, 13106, 23585, 20327, 692, 763, 2468, 752, 529, 12354, 320, 28353, 814, 1614, 15340, 7158, 267, 1079, 4092, 593, 14622, 267, 543, 835, 4571, 12967, 1384, 3682, 16633, 2096, 11496, 10222, 752, 529, 24934, 320, 28353, 2558, 15635, 730, 322, 4209, 1496, 273, 316, 1496, 275, 316, 1496, 277, 6540, 1012, 13565, 4874, 1117, 571, 692, 763, 2468, 752, 529, 12354, 320, 28353, 568, 835, 540, 513, 1920, 540, 12242, 338, 547, 519, 7833, 4874, 1117, 571, 1644, 547, 519, 13306, 543, 2834, 12354, 320, 28353, 780, 4462, 6134, 12354, 320, 14366, 4874, 1117, 571, 454, 15228, 11496, 281, 1496, 275, 267, 274, 3910, 30916, 28242, 264, 1496, 275, 267, 274, 27994, 454, 263, 28242, 994, 314, 272, 31956, 275, 267, 274, 316, 815, 1496, 274, 267, 274, 2639, 28949, 28590, 994, 314, 274, 31956, 275, 2639, 263, 274, 265, 273, 994, 346, 275, 267, 274, 348, 512, 346, 275, 267, 274, 348, 678, 346, 275, 267, 274, 8679, 337, 346, 4029, 267, 272, 8679, 339, 346, 274, 267, 275, 8679, 339, 346, 4029, 267, 272, 8679, 346, 274, 267, 275, 8679, 346, 4029, 267, 272, 8679, 31014, 346, 275, 267, 274, 8679, 338, 273, 346, 274, 267, 275, 8679, 13700, 346, 275, 267, 274, 348, 521, 337, 346, 275, 267, 274, 348, 554, 346, 275, 267, 274, 8679, 346, 274, 267, 274, 8679, 327, 273, 346, 275, 267, 274, 8679, 339, 346, 274, 267, 274, 8679, 338, 346, 274, 267, 275, 8679, 338, 346, 4029, 267, 272, 10926, 284, 692, 284, 692, 23751, 23751, 528, 454, 23751, 528, 454, 284, 692, 291, 783, 338, 547, 7833, 4874, 1117, 571, 454, 309, 6246, 966, 274, 269, 11025, 966, 263, 274, 269, 275, 264, 273, 966, 275, 269, 7830, 966, 4097, 966, 274, 269, 6246, 966, 275, 269, 277, 269, 279, 966, 4097, 269, 275, 966, 3451, 966, 274, 269, 7830, 966, 3374, 692, 763, 2468, 752, 529, 12354, 320, 28353, 568, 513, 851, 540, 513, 5311, 540, 4874, 1117, 571, 543, 21266, 902, 267, 14178, 883, 519, 5409, 26382, 7077, 269, 1452, 3068, 20675, 1438, 5515, 723, 30916, 333, 3953, 264, 8086, 531, 15340, 780, 274, 291, 2203, 540, 513, 2468, 752, 529, 12354, 320, 28353, 454, 2304, 11582, 540, 2468, 752, 529, 12354, 320, 28353, 543, 824, 1644, 4874, 1117, 571, 454, 8967, 17202, 2468, 752, 529, 12354, 320, 28353, 454, 265, 333, 3953, 15340, 15817, 540, 959, 15635, 730, 21266, 902, 281, 512, 23533, 267, 274, 8679, 15228, 11496, 454, 265, 333, 3953, 454, 19559, 267, 274, 2639, 8967, 17202, 21482, 573, 269, 3281, 716, 5409, 321, 269, 3474, 23147, 269, 6348, 4818, 716, 5409, 26382, 454, 265, 22446, 454, 314, 273, 267, 274, 2639, 265, 28590, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2344, 267, 865, 621, 568, 1271, 547, 1265, 835, 602, 786, 3514, 707, 2875, 779, 2115, 563, 8310, 9337, 281, 476, 1708, 273, 268, 5400, 268, 1240, 12262, 11905, 281, 8835, 10500, 8270, 919, 454, 295, 8582, 9215, 8863, 302, 5308, 292, 645, 12239, 18329, 1975, 25527, 454, 2467, 568, 1100, 835, 20695, 1922, 1080, 22433, 2626, 547, 713, 2243, 2094, 519, 1655, 5907, 11963, 619, 786, 4268, 4470, 593, 707, 1808, 2115, 543, 7375, 269, 1717, 267, 930, 4388, 547, 2015, 950, 8939, 606, 5907, 838, 11839, 1331, 912, 268, 1432, 2934, 616, 1271, 547, 596, 286, 2368, 540, 519, 1034, 2442, 5907, 11963, 619, 2709, 2934, 971, 607, 2262, 12605, 267, 13128, 15494, 267, 543, 513, 2647, 3099, 540, 1893, 3681, 563, 268, 1692, 1454, 2724, 616, 596, 8348, 547, 6108, 286, 2368, 540, 519, 811, 7199, 11963, 619, 2709, 811, 4359, 2934, 982, 741, 6578, 7888, 13413, 267, 855, 789, 949, 849, 2154, 811, 4749, 1031, 3301, 31941, 687, 610, 3606, 8800, 16306, 563, 268, 1432, 5867, 798, 596, 1544, 547, 946, 707, 838, 11839, 593, 286, 1975, 25527, 666, 581, 1031, 593, 18376, 5904, 267, 24195, 267, 14342, 267, 543, 16389, 269, 6333, 799, 3457, 596, 1544, 547, 946, 707, 838, 11839, 593, 543, 2824, 513, 3760, 1759, 593, 602, 563, 289, 12239, 18329, 1975, 25527, 19532, 27912, 30264, 2969, 7838, 2464, 454, 16978, 3055, 11963, 619, 616, 5907, 3457, 602, 1450, 3755, 547, 1826, 856, 1913, 610, 2453, 547, 5641, 513, 11963, 269, 1358, 2097, 538, 1082, 1114, 3029, 267, 1519, 18376, 543, 5985, 8924, 267, 1883, 15236, 267, 543, 4050, 3457, 269, 18329, 11963, 619, 666, 581, 1031, 585, 1312, 2123, 946, 543, 3318, 11963, 26511, 269, 0, 3528, 1677, 528, 752, 5441, 454, 2171, 7683, 5873, 602, 2021, 991, 811, 1909, 3631, 543, 602, 835, 540, 519, 1292, 4128, 2021, 5749, 1406, 7446, 11678, 538, 2257, 267, 10509, 543, 4702, 568, 519, 3668, 540, 1909, 3631, 538, 891, 5624, 269, 1280, 1762, 2021, 267, 7487, 5963, 568, 18468, 543, 11541, 4775, 1909, 3631, 711, 1152, 7512, 873, 547, 2263, 1018, 779, 2009, 855, 26182, 6690, 547, 1491, 9562, 540, 741, 20304, 563, 7021, 476, 2004, 1296, 3516, 519, 2721, 8584, 1606, 2615, 626, 1353, 630, 291, 17129, 264, 729, 1101, 5342, 543, 1152, 476, 2764, 540, 476, 276, 267, 1822, 1053, 630, 271, 269, 6187, 8472, 16668, 513, 4775, 10196, 269, 1879, 621, 729, 7368, 538, 476, 1001, 279, 267, 476, 2190, 260, 540, 519, 1053, 16668, 513, 4775, 10196, 269, 2755, 713, 568, 3356, 267, 621, 849, 25495, 875, 31737, 4008, 11475, 3136, 547, 3310, 2486, 543, 875, 4105, 621, 568, 547, 3136, 547, 6318, 519, 15287, 540, 4775, 1909, 3631, 267, 3226, 538, 4610, 1279, 13856, 676, 2367, 563, 305, 1961, 3631, 2339, 454, 10932, 2982, 602, 1909, 3631, 723, 606, 28659, 4324, 585, 2021, 585, 1614, 4128, 912, 268, 1909, 3631, 2099, 543, 4228, 1018, 2021, 1589, 568, 2009, 454, 268, 1909, 3631, 8300, 2021, 547, 581, 811, 16529, 543, 2832, 2362, 454, 268, 1909, 3631, 6542, 519, 8186, 1115, 543, 19326, 540, 875, 547, 4473, 454, 11514, 4533, 532, 519, 3049, 454, 19617, 2730, 2090, 723, 3254, 602, 8456, 543, 4978, 666, 581, 6766, 676, 513, 2647, 2039, 540, 2188, 267, 1519, 2242, 538, 606, 1367, 779, 1514, 1604, 269, 901, 10206, 729, 9672, 676, 513, 2487, 1353, 676, 11062, 2160, 543, 634, 21058, 8048, 799, 4718, 14038, 1246, 2185, 31369, 2021, 971, 607, 19191, 13983, 3279, 774, 684, 6199, 267, 957, 816, 543, 19191, 808, 877, 11253, 808, 7056, 267, 19002, 590, 699, 3534, 13879, 267, 543, 5449, 2475, 1101, 14799, 18466, 548, 15525, 593, 17749, 563, 3528, 3274, 1739, 2185, 31369, 4775, 1909, 3631, 267, 519, 12322, 685, 1514, 2923, 20555, 4957, 20427, 547, 581, 811, 2318, 267, 811, 3309, 543, 811, 8321, 1049, 609, 476, 11152, 260, 540, 7141, 6690, 6031, 741, 19773, 4824, 282, 789, 941, 7680, 2362, 1582, 12635, 543, 1336, 789, 941, 4259, 811, 16529, 3853, 585, 2933, 563, 2252, 596, 616, 3168, 585, 4775, 1909, 3631, 945, 666, 4129, 1518, 707, 1514, 2923, 3049, 855, 1810, 1406, 917, 1141, 547, 1376, 267, 634, 21058, 8048, 814, 2322, 1927, 513, 3102, 1592, 585, 596, 563, 4537, 1456, 519, 30425, 593, 4775, 9740, 454, 18131, 4043, 547, 30391, 711, 1152, 741, 5759, 855, 741, 20440, 267, 811, 982, 741, 5256, 13413, 269, 901, 5012, 547, 2021, 10024, 513, 5198, 2907, 3297, 609, 8951, 1447, 2693, 547, 2322, 741, 1688, 909, 585, 3255, 543, 5107, 2394, 789, 3494, 789, 616, 476, 1911, 260, 4712, 269, 24651, 2984, 540, 2021, 4358, 4213, 610, 2921, 4876, 4220, 16877, 824, 2021, 547, 1394, 2933, 543, 741, 2093, 543, 547, 1491, 513, 20014, 540, 5132, 563, 1103, 476, 1001, 280, 1152, 476, 4097, 540, 519, 1158, 779, 1283, 476, 1220, 9945, 941, 3366, 676, 2021, 543, 538, 519, 8021, 540, 891, 9945, 267, 596, 786, 6560, 547, 1265, 1082, 2984, 540, 2021, 1818, 1686, 269, 4595, 519, 17587, 15356, 729, 3964, 538, 476, 6245, 276, 267, 1447, 982, 476, 2568, 2021, 723, 1044, 4378, 10696, 609, 519, 20380, 3486, 8366, 269, 1924, 950, 3744, 26391, 667, 3716, 3534, 543, 2506, 28609, 548, 4077, 25871, 1512, 4465, 519, 476, 1708, 271, 17587, 15356, 538, 7998, 267, 621, 1500, 24657, 563, 4415, 7194, 899, 713, 267, 621, 779, 2312, 602, 519, 678, 21451, 1198, 540, 7298, 4775, 1909, 3631, 1107, 2250, 543, 1459, 1107, 5222, 711, 1175, 938, 4978, 827, 2021, 779, 2702, 547, 4473, 610, 547, 3180, 1379, 2221, 267, 855, 1018, 649, 1788, 585, 4775, 3401, 538, 519, 2104, 563, 29248, 1077, 618, 543, 1909, 3631, 693, 1153, 454, 1103, 1840, 547, 1134, 8153, 1909, 3631, 267, 1053, 1058, 723, 1569, 547, 513, 3309, 2039, 540, 1004, 945, 8300, 873, 281, 9905, 267, 3610, 267, 1920, 543, 2828, 267, 2818, 540, 519, 2199, 2146, 269, 16844, 6927, 267, 538, 782, 922, 3029, 607, 649, 1142, 723, 1114, 2984, 543, 11444, 267, 14789, 543, 5380, 267, 4978, 267, 543, 7180, 563, 11900, 18944, 543, 11439, 609, 3661, 267, 6690, 786, 3533, 1294, 602, 4376, 568, 2009, 269, 0, 20373, 540, 519, 17130, 454, 5649, 14088, 25306, 779, 2376, 968, 15187, 26530, 22376, 7714, 589, 1380, 625, 892, 3370, 538, 17638, 27450, 670, 14283, 593, 476, 2764, 4873, 476, 1001, 278, 563, 8196, 2804, 3631, 952, 2556, 547, 2626, 519, 2055, 563, 304, 272, 269, 4635, 519, 3747, 543, 3761, 2203, 267, 2491, 1946, 26880, 786, 991, 547, 2628, 909, 547, 476, 736, 260, 811, 585, 18297, 2228, 563, 2414, 3313, 2436, 5245, 779, 3747, 585, 18297, 2228, 568, 3902, 13412, 610, 711, 267, 596, 666, 946, 519, 21876, 602, 2268, 3902, 22786, 547, 2708, 621, 563, 304, 273, 630, 321, 1040, 9122, 593, 707, 4267, 547, 1627, 273, 5416, 1070, 4766, 519, 1198, 602, 596, 2503, 3902, 4679, 547, 723, 593, 2698, 18297, 8907, 563, 8196, 606, 3617, 2804, 2203, 547, 9414, 707, 3932, 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 ]
[ 1133, 614, 32184, 630, 6658, 6420, 264, 1107, 782, 2451, 741, 26711, 593, 519, 4436, 20369, 3832, 281, 513, 7184, 12082, 533, 612, 574, 1143, 267, 519, 991, 585, 1065, 4809, 1931, 267, 14461, 1145, 267, 543, 936, 2958, 2827, 267, 20704, 540, 9997, 267, 513, 4250, 585, 29678, 267, 543, 1107, 2094, 519, 4436, 1893, 729, 896, 26362, 538, 1870, 267, 9913, 267, 543, 24243, 1107, 513, 3978, 11634, 714, 1355, 1106, 540, 2686, 21817, 563, 7212, 4436, 729, 519, 1034, 9275, 3993, 11469, 538, 2342, 630, 1410, 6984, 6576, 28931, 527, 8445, 539, 693, 5111, 476, 4817, 267, 1822, 267, 1822, 266, 5065, 10529, 538, 476, 1001, 271, 9789, 2048, 1782, 340, 2065, 17604, 685, 540, 519, 4436, 14046, 1362, 729, 17866, 693, 1655, 269, 2334, 779, 3362, 6045, 281, 1403, 513, 4436, 16159, 3370, 538, 2296, 267, 646, 610, 1352, 2799, 1010, 610, 1200, 7811, 3988, 1222, 676, 519, 3815, 476, 1911, 1496, 30051, 1185, 476, 272, 260, 540, 519, 1158, 2551, 4940, 2107, 267, 952, 596, 8385, 1223, 3914, 476, 272, 4081, 855, 1631, 5732, 476, 4200, 811, 1496, 322, 1021, 789, 782, 917, 875, 547, 1224, 2296, 3910, 602, 779, 606, 2333, 538, 7811, 3988, 540, 476, 31275, 271, 10065, 1703, 941, 1152, 1079, 2081, 1765, 821, 1463, 267, 519, 824, 9940, 1765, 1721, 5125, 547, 3914, 543, 4497, 606, 3486, 5304, 281, 513, 264, 15476, 538, 2296, 282, 536, 264, 1628, 22812, 569, 593, 513, 17254, 4842, 2872, 540, 8144, 2533, 269, 24296, 584, 29418, 267, 621, 2968, 606, 31498, 600, 540, 1312, 563, 2026, 4436, 2968, 513, 15668, 267, 1034, 2101, 3621, 13746, 267, 2523, 2663, 519, 5907, 3283, 267, 941, 1631, 6998, 14311, 585, 2296, 13366, 269, 589, 14787, 540, 4436, 13629, 267, 26081, 345, 590, 1046, 22603, 267, 9676, 519, 608, 21402, 281, 1703, 729, 513, 942, 950, 4436, 729, 2048, 1492, 8059, 320, 21473, 8619, 540, 519, 3621, 2146, 685, 543, 2048, 23389, 9945, 543, 2257, 8021, 3177, 513, 2203, 585, 1977, 543, 849, 585, 5545, 2257, 10200, 8307, 15823, 1296, 2663, 267, 519, 4436, 1728, 701, 729, 936, 267, 543, 1776, 15823, 1296, 2663, 543, 2296, 2968, 519, 1893, 540, 2257, 543, 1382, 267, 676, 2484, 543, 538, 2698, 912, 23389, 630, 331, 4833, 264, 729, 630, 520, 2547, 538, 851, 264, 519, 12880, 1893, 538, 519, 9443, 543, 519, 23408, 538, 519, 476, 866, 628, 543, 476, 736, 628, 2540, 267, 855, 814, 1631, 15587, 4503, 922, 2990, 31218, 898, 1058, 581, 14129, 693, 713, 1448, 547, 2446, 602, 519, 562, 8811, 559, 2065, 6891, 540, 29383, 540, 519, 21647, 814, 8329, 1454, 547, 519, 27757, 540, 4436, 1893, 2528, 538, 519, 1158, 269, 3097, 3080, 1185, 547, 5402, 10646, 1063, 4436, 14172, 543, 4436, 1893, 14172, 269, 4436, 14172, 2760, 17379, 281, 519, 16586, 1175, 3370, 538, 2296, 1631, 269, 634, 4436, 1893, 14172, 593, 519, 824, 1688, 729, 538, 1863, 2887, 267, 693, 2547, 538, 1870, 2090, 267, 8804, 267, 9913, 267, 23372, 267, 2257, 543, 519, 23408, 269, 4436, 9945, 941, 1631, 5356, 2296, 1893, 5232, 543, 6030, 269, 2290, 1223, 1318, 569, 3717, 540, 519, 1163, 597, 344, 540, 519, 12497, 4436, 2048, 295, 3518, 1245, 339, 779, 3832, 2160, 685, 912, 6546, 519, 4436, 6280, 2245, 2507, 1131, 642, 4314, 2059, 922, 7004, 883, 606, 2296, 12677, 2852, 2528, 729, 22150, 269, 634, 1699, 1964, 31382, 540, 938, 9945, 883, 3703, 3283, 267, 609, 741, 3617, 4255, 543, 10927, 5232, 971, 607, 645, 6993, 1421, 631, 6993, 1421, 645, 2529, 1421, 631, 2529, 269, 3092, 269, 568, 9266, 267, 855, 621, 23352, 519, 3017, 543, 7907, 540, 519, 4436, 2160, 7498, 1103, 1840, 547, 519, 2604, 543, 7569, 689, 519, 3486, 2146, 267, 12077, 519, 3864, 5742, 630, 31323, 264, 543, 519, 2136, 8315, 630, 7419, 1070, 547, 12666, 1125, 1496, 1348, 281, 19597, 622, 316, 519, 4541, 779, 2069, 1062, 267, 5125, 729, 1631, 11207, 6534, 547, 2518, 3872, 1382, 543, 6268, 30147, 1797, 12250, 1242, 17454, 29509, 5718, 269, 769, 14669, 547, 20093, 821, 748, 2442, 4436, 7242, 267, 4436, 1053, 941, 1175, 540, 3328, 4987, 267, 543, 4436, 9945, 1223, 1100, 3476, 14526, 11451, 609, 3506, 971, 607, 17578, 532, 327, 7699, 2160, 610, 623, 22701, 2160, 538, 22163, 3624, 267, 543, 513, 19625, 540, 15173, 15158, 779, 9945, 267, 15603, 4805, 519, 594, 11803, 2274, 8046, 540, 3345, 3013, 267, 3567, 267, 543, 6628, 269, 1809, 5125, 1223, 581, 2048, 3467, 3309, 9957, 898, 1631, 8604, 602, 5125, 1185, 547, 16153, 811, 4914, 1053, 267, 711, 602, 621, 4941, 547, 281, 898, 1611, 14809, 543, 1016, 11437, 540, 519, 1533, 20196, 568, 952, 519, 24990, 540, 2048, 323, 1751, 685, 543, 2048, 20123, 12734, 1143, 685, 2965, 1185, 519, 15325, 540, 519, 4436, 1533, 538, 2247, 269, 5047, 267, 519, 20833, 12592, 2259, 540, 519, 4436, 9777, 2209, 547, 18928, 7333, 4914, 5232, 543, 9733, 5557, 6140, 689, 8109, 3864, 630, 15973, 626, 264, 2477, 543, 3624, 543, 6576, 267, 855, 849, 11894, 543, 519, 5664, 5101, 267, 3357, 896, 22987, 269, 1306, 540, 476, 1001, 272, 267, 827, 476, 4968, 267, 1822, 30921, 5030, 538, 5125, 602, 1185, 2938, 741, 4914, 9733, 5557, 2847, 12097, 610, 23380, 730, 676, 4639, 4436, 8128, 267, 3927, 14874, 741, 11678, 563, 763, 1259, 31970, 4654, 941, 6594, 1185, 7494, 4957, 585, 519, 16586, 676, 519, 1439, 540, 519, 476, 736, 628, 2540, 269, 634, 16586, 1631, 5051, 6594, 5545, 267, 4457, 267, 19446, 267, 543, 6259, 1210, 2296, 9499, 543, 6044, 8261, 338, 267, 538, 1880, 950, 11504, 1893, 3506, 543, 9945, 538, 1346, 2477, 563, 5591, 1382, 23121, 519, 1655, 540, 938, 1702, 1765, 517, 2436, 2296, 607, 519, 1893, 540, 6044, 729, 17672, 610, 711, 547, 1565, 513, 3791, 4914, 1893, 814, 1044, 3370, 865, 2484, 282, 2943, 519, 3586, 4598, 547, 519, 3486, 8059, 320, 21473, 8619, 13383, 267, 2296, 267, 1185, 930, 2360, 593, 519, 1762, 4436, 779, 8186, 543, 741, 2104, 3486, 4876, 4566, 269, 4436, 3506, 1419, 20617, 17712, 7134, 689, 10912, 2296, 513, 6154, 332, 1091, 335, 2350, 515, 630, 1150, 793, 1893, 264, 693, 782, 267, 855, 2864, 9286, 621, 607, 4295, 1576, 16310, 1546, 28852, 543, 717, 525, 577, 747, 974, 563, 3080, 4991, 519, 2856, 602, 4436, 1893, 1869, 814, 711, 8118, 909, 547, 4914, 4529, 543, 2035, 282, 621, 1175, 814, 11292, 519, 17454, 29509, 27667, 547, 1404, 513, 3152, 851, 538, 621, 267, 6382, 585, 519, 942, 1373, 1141, 1131, 1007, 2093, 2097, 689, 267, 519, 16586, 1869, 9856, 1996, 7366, 540, 5215, 540, 9699, 610, 4457, 4408, 543, 2035, 602, 616, 2141, 4712, 547, 1491, 513, 13581, 1033, 712, 883, 5375, 2342, 269, 769, 1249, 267, 519, 2370, 2450, 540, 4436, 2528, 1483, 12264, 2306, 621, 2182, 1256, 547, 1491, 538, 15349, 610, 14655, 2528, 267, 922, 4408, 543, 2035, 267, 855, 602, 11735, 269, 9717, 519, 7771, 540, 4436, 1893, 31970, 2090, 538, 519, 2063, 4627, 1296, 267, 1018, 1705, 4436, 14172, 2965, 917, 827, 3624, 543, 519, 10787, 5101, 543, 547, 1018, 6708, 729, 20102, 1620, 593, 513, 2686, 1377, 2009, 286, 634, 2626, 1590, 581, 281, 5125, 1869, 5030, 538, 519, 840, 8862, 541, 16402, 1417, 878, 1158, 267, 1185, 2370, 1620, 540, 4457, 2528, 267, 1100, 10892, 585, 8109, 5389, 267, 543, 1869, 1185, 1100, 1523, 585, 521, 1137, 543, 27041, 3125, 912, 763, 1079, 10617, 1287, 17792, 5125, 6368, 543, 26464, 519, 4720, 4724, 18371, 1143, 269, 1358, 723, 13151, 3518, 539, 538, 519, 16402, 1417, 878, 1158, 268, 1613, 563, 2691, 7917, 918, 269, 717, 269, 13527, 267, 3703, 1655, 18522, 2278, 543, 6250, 1746, 7548, 693, 17578, 532, 327, 7699, 2160, 267, 3370, 634, 2637, 3780, 540, 3624, 630, 2735, 278, 1070, 519, 20648, 17947, 1010, 1433, 543, 15748, 519, 8144, 883, 476, 6246, 4654, 269, 634, 4436, 17404, 5433, 2048, 7049, 3780, 685, 606, 21467, 560, 11582, 543, 3079, 3957, 519, 1433, 30605, 8092, 3541, 4469, 20672, 754, 523, 667, 2350, 1156, 630, 1960, 280, 264, 1496, 763, 8092, 540, 519, 674, 2391, 28463, 976, 4940, 25334, 4601, 267, 621, 729, 5921, 513, 5309, 593, 1346, 2477, 1141, 22645, 2965, 15336, 269, 769, 476, 1220, 279, 267, 519, 21107, 4604, 540, 2048, 821, 540, 5125, 779, 1283, 3621, 5238, 267, 519, 7665, 23851, 4659, 685, 4941, 547, 2048, 6588, 576, 519, 3382, 540, 513, 2027, 3390, 540, 922, 7665, 23851, 674, 832, 577, 2426, 4750, 685, 855, 3079, 540, 4457, 6965, 621, 9102, 513, 2156, 1492, 331, 740, 605, 8010, 532, 2048, 31640, 5600, 342, 1161, 538, 11059, 256, 10200, 634, 3377, 827, 713, 16168, 855, 19849, 23035, 1025, 8974, 729, 3370, 18487, 543, 2066, 2342, 267, 543, 2968, 513, 5816, 3455, 14815, 538, 3624, 269, 2290, 15173, 15158, 3896, 3323, 922, 3210, 281, 2048, 310, 3317, 812, 1183, 514, 932, 1149, 27688, 737, 2335, 2507, 685, 1496, 2252, 835, 3085, 1406, 917, 4457, 2507, 4940, 6904, 568, 3833, 4977, 281, 547, 519, 17417, 519, 2489, 1259, 547, 2932, 2048, 321, 5350, 685, 13383, 814, 711, 4957, 3648, 2094, 519, 942, 540, 15875, 1143, 543, 20616, 1143, 269, 23883, 519, 16586, 267, 2141, 513, 2370, 3787, 3735, 543, 3500, 267, 1869, 6494, 3043, 4436, 9038, 609, 11613, 1100, 1702, 540, 4457, 13383, 267, 10483, 676, 930, 10121, 1163, 1846, 945, 616, 6976, 608, 528, 4226, 656, 23269, 543, 13755, 4926, 547, 1305, 873, 2647, 543, 6306, 689, 741, 4457, 9905, 267, 16926, 513, 1906, 2199, 4457, 6037, 2209, 267, 543, 1514, 1125, 1152, 1369, 519, 5375, 24284, 630, 5976, 519, 17756, 540, 930, 2199, 2156, 1492, 3149, 543, 26603, 677, 2533, 264, 899, 538, 2473, 7795, 14241, 8664, 538, 29258, 630, 1492, 2025, 3943, 598, 20896, 264, 610, 24755, 1195, 836, 8664, 538, 19864, 563, 763, 4436, 4750, 1657, 1185, 31570, 2048, 320, 4436, 5609, 6048, 685, 1991, 547, 13629, 519, 4062, 267, 855, 646, 610, 1352, 1185, 1100, 2856, 1018, 519, 4062, 2731, 1767, 1107, 519, 4436, 4274, 2219, 621, 729, 1175, 4190, 4457, 6965, 269, 6271, 29317, 538, 519, 4436, 16644, 2088, 2078, 729, 519, 1546, 583, 22385, 654, 16279, 779, 20590, 540, 922, 3624, 5330, 550, 543, 31402, 4436, 10584, 630, 9917, 5249, 538, 5125, 585, 562, 31106, 1296, 1070, 18681, 8355, 327, 784, 269, 1546, 583, 22385, 654, 16279, 568, 5125, 779, 18259, 5023, 12328, 13383, 267, 543, 15516, 18681, 3361, 513, 1857, 30891, 950, 1352, 9307, 519, 1739, 593, 4436, 2011, 30335, 912, 19770, 814, 7307, 547, 519, 476, 6110, 2929, 1004, 856, 540, 6207, 6710, 538, 519, 2063, 476, 1789, 1296, 269, 4935, 267, 519, 19797, 9549, 540, 3624, 8329, 811, 982, 1022, 824, 2797, 3196, 538, 519, 1158, 547, 9137, 476, 274, 540, 519, 25943, 540, 5274, 7126, 269, 3097, 5475, 15516, 18681, 1185, 4503, 1200, 2990, 543, 10639, 267, 930, 4436, 6085, 2209, 11943, 602, 267, 20248, 267, 1200, 3948, 729, 2953, 267, 602, 519, 4457, 2229, 8197, 1185, 5280, 6634, 540, 922, 1004, 547, 9101, 6710, 269, 898, 568, 711, 513, 5728, 269, 589, 12512, 19784, 543, 2048, 19770, 5330, 550, 8730, 9677, 2349, 2541, 267, 1185, 1500, 2147, 8292, 593, 519, 19797, 9549, 540, 3624, 1354, 269, 898, 729, 1175, 713, 281, 634, 4436, 12512, 1223, 711, 1450, 4457, 30921, 547, 3717, 741, 2247, 269, 21853, 5341, 654, 1157, 1068, 267, 513, 5449, 7986, 4436, 7214, 267, 19784, 543, 2278, 267, 945, 8593, 883, 771, 6588, 576, 585, 1010, 29926, 532, 5784, 267, 524, 2106, 1227, 6376, 539, 593, 519, 5595, 3044, 540, 5125, 779, 2923, 281, 2048, 24078, 32489, 1546, 583, 2675, 615, 29345, 339, 267, 29593, 325, 552, 710, 932, 1149, 514, 1100, 577, 561, 1052, 562, 32218, 521, 10402, 685, 1496, 1432, 513, 4436, 3081, 267, 513, 4457, 4807, 1590, 711, 2161, 2479, 4940, 3933, 11986, 2274, 327, 1676, 267, 513, 4436, 5609, 6048, 267, 9672, 519, 11566, 569, 8801, 10182, 540, 519, 16586, 4724, 4457, 945, 1930, 741, 5023, 281, 2048, 32056, 1178, 639, 877, 4457, 267, 3541, 15074, 2041, 4457, 1107, 10523, 324, 918, 5894, 3832, 525, 521, 785, 682, 32218, 620, 338, 1151, 3832, 1990, 340, 1303, 24882, 1597, 3768, 10300, 1084, 521, 747, 798, 577, 1655, 7564, 526, 580, 1496, 763, 29063, 4457, 267, 519, 5835, 4457, 1107, 1346, 11475, 616, 3362, 6534, 267, 2943, 789, 6414, 4940, 7201, 519, 2212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 3070, 263, 7483, 20311, 2187, 825, 2626, 815, 1412, 7055, 825, 6049, 20311, 815, 1592, 263, 7483, 20311, 994, 825, 585, 1775, 267, 9041, 538, 26246, 263, 7483, 20311, 2187, 1038, 952, 1775, 2999, 7003, 263, 7483, 20311, 264, 910, 476, 275, 281, 3097, 2018, 6049, 20311, 5157, 316, 815, 24003, 7055, 8931, 825, 2132, 1412, 8339, 21860, 263, 7483, 20311, 9239, 2745, 4433, 1828, 2891, 18089, 18357, 30306, 4510, 27363, 2745, 4433, 1828, 2891, 271, 2767, 278, 4281, 31229, 257, 4297, 0, 258, 9258, 3890, 32629, 498, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 29306, 494, 423, 356, 490, 10563, 510, 506, 422, 367, 369, 423, 494, 506, 30319, 269, 14091, 356, 490, 424, 499, 377, 10563, 499, 482, 422, 371, 506, 423, 357, 376, 425, 488, 372, 32174, 478, 14091, 361, 372, 28990, 494, 29306, 368, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 507, 376, 423, 358, 368, 10563, 488, 361, 423, 507, 376, 27338, 424, 489, 365, 1496, 15311, 268, 272, 316, 14602, 482, 10563, 480, 361, 424, 504, 358, 17432, 510, 10563, 486, 502, 10563, 508, 486, 30319, 563, 258, 21844, 371, 372, 423, 509, 361, 423, 480, 502, 14091, 355, 361, 425, 488, 372, 424, 377, 498, 423, 497, 506, 29306, 494, 424, 482, 506, 32629, 498, 10563, 502, 353, 423, 354, 502, 32174, 478, 14091, 364, 506, 424, 481, 507, 17432, 506, 30319, 269, 10563, 507, 368, 14091, 361, 372, 32510, 506, 32629, 498, 21844, 367, 369, 32174, 482, 423, 367, 369, 28990, 350, 423, 493, 482, 32174, 478, 744, 263, 272, 264, 423, 350, 506, 10563, 510, 506, 17432, 506, 17432, 502, 30319, 14091, 367, 368, 21498, 486, 14091, 367, 478, 424, 486, 502, 476, 17432, 510, 21498, 373, 14602, 482, 10563, 366, 502, 423, 355, 361, 17432, 502, 32629, 498, 14091, 491, 364, 10563, 510, 506, 424, 499, 377, 27338, 10563, 508, 486, 30319, 563, 258, 521, 815, 521, 11468, 18737, 272, 316, 10563, 502, 353, 423, 354, 502, 423, 364, 506, 424, 481, 507, 454, 258, 521, 11468, 316, 815, 521, 11468, 18737, 272, 316, 10563, 502, 353, 423, 354, 502, 14091, 364, 506, 424, 481, 507, 17432, 502, 424, 356, 478, 10563, 499, 488, 14602, 490, 563, 3698, 9258, 21803, 4433, 264, 9847, 7183, 912, 825, 521, 18622, 2091, 4590, 825, 1820, 3488, 29306, 511, 424, 486, 506, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 281, 22207, 521, 2020, 338, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 23300, 2745, 3488, 424, 505, 494, 424, 489, 506, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 281, 22207, 521, 994, 516, 2091, 21803, 4433, 994, 0, 3698, 3070, 3799, 2187, 825, 2626, 815, 1412, 7055, 825, 1297, 815, 1496, 272, 267, 476, 273, 267, 476, 275, 2639, 8931, 825, 2671, 815, 562, 12262, 476, 274, 454, 825, 14230, 815, 562, 4939, 476, 274, 692, 825, 9206, 815, 6936, 454, 825, 1247, 9206, 912, 1038, 952, 2671, 3436, 476, 274, 912, 13872, 1038, 3116, 912, 2018, 1820, 263, 3333, 732, 2020, 825, 2132, 2626, 7531, 2745, 4433, 1828, 263, 1015, 4917, 2745, 4433, 1828, 263, 1428, 4297, 0, 258, 275, 692, 5035, 2961, 912, 825, 1948, 514, 1934, 649, 5581, 1362, 4632, 630, 18878, 4632, 994, 825, 1948, 5035, 15254, 17156, 1860, 519, 782, 519, 3615, 454, 825, 1948, 10964, 690, 547, 1362, 4408, 10628, 454, 825, 14743, 815, 476, 275, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1948, 514, 1934, 649, 5581, 3236, 4632, 454, 1038, 1948, 27349, 4632, 666, 581, 1689, 4470, 593, 519, 1843, 454, 1038, 1948, 10964, 690, 547, 3236, 4408, 10628, 454, 1038, 1582, 6230, 559, 815, 1015, 454, 1038, 1582, 2593, 815, 257, 13696, 310, 5016, 322, 272, 815, 2961, 4590, 322, 273, 815, 2961, 10797, 322, 272, 6230, 559, 815, 476, 279, 692, 2745, 6262, 272, 2593, 267, 524, 272, 6230, 559, 267, 524, 272, 9884, 515, 1564, 994, 2745, 6262, 273, 2593, 267, 524, 273, 6230, 559, 267, 524, 273, 9884, 515, 1564, 2020, 258, 322, 16226, 676, 1362, 4067, 454, 10111, 9884, 515, 1564, 815, 276, 7531, 2745, 6262, 272, 2593, 267, 524, 272, 6230, 559, 267, 524, 272, 9884, 515, 1564, 994, 2745, 6262, 273, 2593, 267, 524, 273, 6230, 559, 267, 524, 273, 9884, 515, 1564, 264, 0, 5035, 11473, 10031, 825, 8173, 825, 901, 519, 3381, 1362, 799, 814, 519, 8912, 10305, 540, 513, 2140, 543, 911, 8814, 14729, 19834, 16182, 540, 519, 3381, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 911, 8814, 14729, 19834, 318, 14766, 2187, 1038, 8173, 1038, 1488, 7714, 912, 2018, 2140, 630, 1598, 2567, 7170, 540, 519, 7260, 454, 2018, 911, 8814, 14729, 19834, 318, 14766, 630, 1598, 2567, 11473, 29250, 585, 519, 911, 8814, 540, 519, 7260, 454, 1038, 29185, 1038, 1582, 26644, 815, 2140, 454, 1038, 1582, 6745, 571, 8814, 14729, 19834, 318, 14766, 815, 911, 8814, 14729, 19834, 318, 14766, 7531, 5035, 28414, 263, 21581, 2187, 825, 8173, 825, 901, 568, 519, 1362, 540, 519, 9413, 4171, 8320, 1223, 581, 2813, 585, 18187, 908, 1114, 9413, 799, 9100, 1080, 454, 825, 519, 11473, 1362, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 911, 8814, 14729, 19834, 318, 14766, 267, 16968, 318, 13548, 318, 14766, 2187, 1038, 8173, 1038, 1488, 7714, 912, 2018, 2140, 630, 1598, 2567, 7170, 540, 519, 7260, 454, 2018, 16968, 318, 13548, 318, 14766, 630, 1598, 2567, 7984, 331, 540, 519, 16968, 540, 519, 7260, 454, 2018, 911, 8814, 14729, 19834, 318, 14766, 630, 1598, 2567, 11473, 29250, 585, 519, 911, 8814, 540, 519, 7260, 454, 1038, 8173, 1038, 11473, 14857, 8181, 9191, 1345, 267, 2140, 284, 27583, 267, 911, 8814, 14729, 19834, 318, 14766, 284, 10177, 8814, 14729, 19834, 318, 14766, 994, 1038, 1582, 4877, 8803, 318, 13548, 318, 14766, 815, 16968, 318, 13548, 318, 14766, 454, 0, 5814, 2415, 27785, 1477, 5814, 2979, 24653, 5035, 8672, 28399, 825, 5727, 288, 1448, 609, 513, 1535, 11971, 11282, 18851, 1477, 453, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 8029, 1038, 1582, 11859, 815, 1535, 1477, 1038, 1582, 13885, 815, 586, 5897, 825, 1219, 12969, 4311, 267, 5858, 8029, 1038, 5727, 3674, 519, 1448, 3330, 513, 2016, 5858, 286, 18851, 1477, 1038, 2451, 318, 3225, 566, 815, 2612, 4311, 11859, 910, 5858, 269, 4812, 11859, 264, 2878, 476, 273, 1477, 1038, 1318, 318, 3225, 566, 815, 2612, 4311, 13885, 910, 5858, 269, 4812, 13885, 264, 2878, 476, 273, 1477, 1363, 1477, 1038, 2132, 2979, 28460, 263, 3847, 318, 3225, 566, 1341, 1318, 318, 3225, 566, 264, 2999, 5858, 269, 31709, 24653, 5035, 3474, 572, 11592, 263, 1173, 27785, 6993, 794, 8029, 825, 5727, 303, 12838, 513, 1448, 4661, 27969, 1477, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 16163, 518, 267, 26571, 267, 2418, 267, 4781, 23952, 22561, 8029, 1038, 2119, 6769, 2018, 1496, 343, 267, 586, 316, 815, 4786, 17301, 267, 2418, 21858, 263, 3299, 10807, 3418, 1038, 4849, 28759, 607, 552, 6769, 2018, 1820, 3488, 5472, 2418, 585, 513, 1448, 1590, 581, 513, 1297, 9538, 3418, 2018, 2132, 1477, 1038, 1448, 815, 8672, 3287, 267, 586, 3418, 1038, 1305, 3430, 337, 263, 16911, 267, 1582, 6155, 652, 267, 1448, 264, 0, 5814, 19523, 454, 5228, 5299, 1104, 2620, 32476, 692, 3698, 1292, 10031, 453, 29514, 5168, 318, 817, 793, 16963, 453, 301, 17750, 815, 476, 276, 282, 1948, 763, 1297, 540, 2148, 1023, 538, 519, 20389, 1966, 3097, 453, 301, 318, 743, 13415, 815, 476, 275, 282, 1948, 763, 1297, 540, 21291, 538, 519, 20389, 1966, 692, 453, 258, 306, 272, 17342, 314, 272, 16427, 272, 25662, 273, 267, 274, 3910, 15631, 273, 267, 274, 25662, 273, 267, 274, 3910, 15631, 273, 16427, 275, 25662, 273, 267, 275, 25662, 275, 16427, 273, 14963, 282, 1948, 306, 2969, 454, 453, 258, 306, 272, 815, 20886, 272, 16427, 273, 16427, 274, 267, 273, 3910, 15631, 273, 267, 274, 3910, 15631, 272, 16427, 273, 3910, 15631, 274, 3910, 15631, 274, 14963, 282, 1948, 634, 1305, 540, 21291, 538, 519, 20389, 1966, 1948, 306, 2969, 454, 453, 258, 306, 272, 815, 20886, 272, 267, 273, 25662, 273, 16427, 272, 25662, 272, 16427, 274, 3910, 15631, 272, 16427, 274, 25662, 272, 267, 274, 25662, 274, 16427, 272, 14963, 282, 1948, 7419, 306, 2969, 454, 453, 258, 306, 272, 815, 1496, 15631, 272, 267, 273, 16427, 274, 3910, 15631, 272, 267, 274, 25662, 272, 16427, 274, 14963, 282, 1948, 306, 2969, 454, 453, 306, 272, 815, 20886, 272, 267, 273, 16427, 274, 3910, 15631, 273, 16427, 275, 3910, 15631, 275, 16427, 276, 3910, 15631, 272, 16427, 276, 3910, 15631, 274, 267, 276, 14963, 282, 1948, 306, 2969, 454, 453, 306, 17342, 6540, 453, 258, 7230, 7174, 32118, 2148, 1023, 538, 595, 22143, 454, 22610, 1775, 538, 590, 272, 912, 453, 476, 952, 1775, 711, 538, 590, 912, 453, 567, 453, 328, 815, 1592, 263, 3553, 9217, 4917, 453, 567, 453, 306, 6910, 9217, 2020, 453, 258, 7230, 8221, 512, 2246, 1108, 454, 453, 306, 4671, 2246, 17342, 2639, 453, 306, 4671, 2246, 815, 590, 6983, 4878, 10797, 22610, 1775, 538, 590, 912, 453, 22610, 795, 538, 2039, 263, 272, 267, 301, 17750, 266, 272, 2187, 4848, 14851, 630, 329, 538, 1775, 264, 543, 11196, 329, 538, 1775, 2187, 15235, 453, 306, 4671, 2246, 31927, 9217, 11850, 15235, 453, 11666, 826, 692, 453, 258, 306, 1729, 637, 782, 519, 2148, 1023, 1459, 538, 519, 595, 22143, 3097, 453, 32173, 1023, 17342, 6540, 22610, 1775, 538, 2039, 18217, 17750, 2187, 453, 453, 32173, 1023, 6910, 9217, 266, 272, 2020, 453, 258, 32173, 1023, 17342, 273, 267, 274, 267, 275, 6540, 13537, 2891, 290, 22143, 281, 14307, 306, 4671, 2246, 994, 13537, 2891, 24145, 1023, 281, 14307, 32173, 1023, 2020, 453, 12949, 17342, 30092, 453, 12949, 6910, 10857, 3438, 1023, 314, 271, 8079, 3248, 453, 12248, 318, 273, 815, 476, 271, 16963, 453, 6112, 6936, 912, 453, 453, 12248, 318, 273, 23785, 272, 3248, 453, 13537, 6262, 870, 318, 273, 994, 453, 453, 28744, 2891, 290, 22143, 272, 24333, 306, 4671, 2246, 994, 453, 453, 290, 22143, 815, 2620, 32476, 22829, 4671, 2246, 11850, 453, 453, 28744, 2891, 290, 22143, 273, 24333, 290, 22143, 994, 453, 453, 7419, 306, 2969, 4671, 4973, 815, 476, 271, 3248, 453, 453, 1372, 548, 1540, 9078, 527, 17342, 30092, 453, 453, 7419, 306, 2969, 815, 476, 271, 3248, 453, 453, 306, 2969, 815, 476, 271, 3248, 453, 13537, 2891, 303, 26059, 281, 14307, 12949, 11850, 453, 13537, 2891, 290, 22143, 24333, 290, 22143, 994, 453, 22610, 1770, 318, 743, 1021, 538, 2619, 912, 4848, 14851, 30585, 272, 265, 22780, 318, 743, 1021, 316, 538, 595, 22143, 912, 15235, 453, 7419, 306, 2969, 815, 272, 3248, 15235, 453, 19874, 16963, 4848, 14851, 1770, 318, 743, 1021, 285, 271, 912, 15235, 453, 12248, 284, 271, 3248, 15235, 22610, 795, 538, 595, 22143, 912, 20930, 14851, 910, 272, 265, 22780, 318, 743, 1021, 538, 795, 912, 4848, 15235, 14851, 910, 272, 265, 22780, 318, 743, 1021, 2652, 795, 314, 271, 316, 543, 7003, 27203, 264, 2525, 272, 912, 20930, 4848, 453, 1372, 548, 1540, 9078, 527, 6910, 6262, 870, 11850, 4848, 15235, 28432, 912, 20930, 4848, 453, 329, 31927, 8987, 272, 265, 22780, 318, 743, 1021, 11850, 20930, 453, 19197, 1770, 318, 743, 1021, 538, 795, 912, 4848, 15235, 453, 1372, 548, 1540, 9078, 527, 6910, 6262, 870, 11850, 20930, 453, 12248, 23785, 272, 16963, 15235, 22610, 4994, 538, 15044, 263, 1372, 548, 1540, 9078, 527, 267, 516, 2091, 18989, 2187, 20930, 453, 23437, 595, 22143, 27709, 30092, 4848, 453, 19197, 1770, 318, 743, 1021, 283, 271, 912, 15235, 453, 12248, 318, 272, 284, 271, 3248, 15235, 22610, 795, 538, 595, 22143, 912, 20930, 14851, 1770, 318, 743, 1021, 538, 795, 912, 4848, 15235, 453, 1372, 548, 1540, 9078, 527, 6910, 6262, 870, 318, 272, 11850, 20930, 453, 19197, 910, 272, 265, 22780, 318, 743, 1021, 538, 795, 912, 4848, 15235, 14851, 910, 272, 265, 22780, 318, 743, 1021, 2525, 329, 314, 271, 316, 543, 7003, 27203, 264, 2525, 272, 912, 20930, 4848, 453, 1372, 548, 1540, 9078, 527, 6910, 6262, 870, 318, 272, 11850, 4848, 15235, 28432, 912, 20930, 4848, 453, 329, 31927, 8987, 272, 265, 22780, 318, 743, 1021, 11850, 20930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2913, 781, 3460, 998, 942, 543, 1451, 827, 875, 891, 530, 3419, 16744, 7068, 948, 721, 1711, 10875, 17234, 780, 5629, 2390, 513, 942, 538, 3504, 3624, 936, 476, 4335, 271, 1296, 3516, 267, 1004, 4362, 1945, 5863, 269, 1358, 8068, 602, 513, 1808, 1826, 540, 21956, 541, 267, 1631, 1572, 513, 16536, 11988, 267, 5932, 513, 20202, 8142, 950, 621, 7140, 883, 513, 7782, 320, 3330, 922, 9279, 3019, 269, 901, 2178, 267, 5347, 267, 543, 2571, 8142, 1131, 2663, 1831, 1018, 649, 1289, 590, 6579, 298, 2439, 4131, 781, 4685, 4514, 883, 1620, 875, 16536, 568, 4646, 269, 1879, 513, 16536, 11988, 22655, 1152, 835, 2186, 540, 6978, 910, 519, 26345, 15273, 9440, 6978, 267, 621, 6238, 3395, 513, 2027, 14189, 538, 922, 1560, 269, 901, 14189, 7472, 513, 5277, 602, 7140, 883, 513, 1279, 267, 6094, 18843, 950, 621, 2501, 856, 540, 519, 16536, 11988, 779, 5023, 269, 5994, 952, 596, 1223, 8095, 513, 8142, 3476, 982, 2185, 11176, 4610, 1175, 689, 707, 838, 527, 256, 30474, 3579, 267, 26001, 2496, 3086, 1577, 781, 1491, 513, 6251, 1413, 693, 713, 6909, 8142, 269, 898, 814, 1079, 1292, 2694, 281, 519, 4295, 543, 519, 3544, 4494, 269, 634, 4295, 267, 3957, 674, 29368, 4629, 2562, 267, 2306, 909, 3592, 1614, 20453, 540, 519, 2898, 8142, 269, 4706, 2189, 2497, 2488, 519, 7415, 4222, 540, 16536, 1107, 1256, 6793, 982, 562, 14125, 610, 4874, 6856, 256, 634, 824, 10116, 568, 590, 2207, 2975, 2562, 267, 513, 15441, 6438, 6219, 9117, 899, 513, 536, 5407, 267, 8066, 1367, 16060, 1927, 780, 5331, 2348, 513, 15705, 28076, 694, 1233, 689, 713, 9589, 1570, 269, 1411, 9327, 1405, 991, 547, 5855, 827, 751, 2130, 707, 9660, 1247, 9494, 519, 1554, 256, 1809, 7227, 267, 972, 781, 811, 256, 28010, 3568, 930, 1898, 5820, 971, 607, 9600, 267, 14589, 525, 267, 6886, 267, 543, 1216, 267, 782, 2324, 1927, 547, 2285, 16536, 922, 2067, 19542, 543, 8112, 780, 3719, 1141, 798, 1346, 695, 20810, 532, 4778, 2097, 689, 286, 4270, 267, 3314, 938, 3659, 267, 519, 16536, 11988, 286, 1635, 4189, 1114, 2010, 540, 1426, 267, 1519, 1585, 11954, 15273, 9440, 3762, 267, 789, 3132, 16536, 538, 17681, 3618, 344, 18565, 8151, 689, 12779, 5835, 547, 2620, 6960, 269, 1677, 1205, 7524, 267, 12050, 4778, 267, 1004, 946, 2922, 24470, 547, 3986, 519, 5898, 540, 16536, 2417, 780, 3383, 1985, 942, 596, 5957, 513, 32154, 4062, 540, 16536, 7802, 610, 1294, 513, 32689, 16536, 1569, 800, 267, 1589, 827, 519, 9735, 3460, 713, 5958, 3576, 1354, 4742, 513, 960, 540, 1148, 269, 3245, 18803, 20297, 538, 513, 16536, 11988, 781, 8937, 547, 1373, 838, 684, 883, 16060, 543, 9927, 883, 18198, 23157, 267, 16536, 3788, 513, 15266, 547, 1480, 27265, 543, 2470, 781, 2261, 12069, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 7849, 28010, 543, 28010, 17904, 454, 272, 269, 272, 269, 7849, 28010, 454, 306, 20488, 568, 835, 540, 519, 9510, 543, 1034, 3730, 3662, 26939, 1634, 547, 812, 269, 28010, 8142, 568, 513, 1587, 540, 519, 16536, 26148, 15374, 540, 1978, 7786, 602, 1711, 513, 2121, 1472, 2933, 610, 1106, 9279, 9398, 269, 634, 12586, 9366, 540, 513, 16536, 26615, 10953, 676, 8023, 593, 15273, 9440, 3762, 543, 27810, 513, 9279, 3019, 609, 513, 27129, 476, 1321, 1700, 1789, 18725, 332, 538, 8006, 543, 909, 547, 476, 272, 269, 276, 5998, 1279, 269, 28010, 11988, 29143, 1709, 543, 16536, 2504, 3459, 538, 3624, 811, 982, 476, 4335, 271, 1296, 3516, 269, 589, 15273, 9440, 16536, 11988, 729, 4547, 547, 2342, 538, 519, 476, 277, 628, 2540, 5084, 3097, 306, 20488, 20249, 5161, 540, 1079, 5946, 281, 4017, 549, 514, 568, 538, 519, 6418, 4494, 630, 7761, 1700, 10695, 260, 540, 20249, 2597, 1070, 799, 3947, 4222, 547, 513, 20249, 282, 1583, 545, 514, 568, 538, 519, 9018, 4494, 267, 799, 25907, 4017, 549, 514, 2083, 14613, 1927, 630, 1704, 1700, 2764, 260, 5148, 972, 616, 849, 476, 271, 269, 279, 1700, 272, 269, 271, 260, 540, 9761, 543, 14589, 344, 6878, 267, 476, 272, 269, 271, 1700, 272, 269, 275, 260, 540, 7777, 6878, 543, 476, 1556, 260, 540, 1216, 3097, 269, 634, 11254, 3679, 9043, 540, 16536, 4017, 549, 514, 5161, 540, 476, 1704, 11254, 7408, 267, 1034, 540, 799, 616, 25026, 710, 630, 6246, 15992, 620, 29516, 630, 1789, 8472, 543, 1583, 710, 630, 1321, 8472, 3097, 763, 4222, 1697, 339, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5419, 19725, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 7956, 3796, 1299, 2717, 2096, 619, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 1082, 2477, 1472, 519, 1158, 267, 3909, 3506, 1404, 513, 1713, 1909, 538, 5935, 519, 3872, 5251, 269, 8581, 568, 1100, 9868, 547, 713, 7678, 267, 609, 7826, 3506, 1373, 3226, 7986, 1369, 922, 2069, 1062, 269, 1677, 1174, 875, 891, 5238, 7500, 543, 741, 1764, 593, 9721, 2486, 267, 1577, 781, 5490, 4514, 883, 519, 3140, 2796, 267, 1225, 14152, 5943, 267, 543, 4207, 9840, 4478, 7826, 3506, 538, 8581, 780, 30399, 267, 7826, 3506, 723, 1044, 3844, 547, 8581, 781, 3872, 5958, 1813, 547, 519, 4182, 781, 2178, 13218, 609, 519, 4936, 7826, 5783, 269, 5403, 23949, 11163, 267, 519, 5939, 10924, 5539, 585, 1034, 3119, 543, 6281, 3506, 267, 3056, 547, 513, 18735, 540, 7826, 5238, 2066, 519, 2197, 269, 9182, 267, 7826, 2418, 543, 10752, 2968, 7184, 3824, 11712, 538, 519, 9721, 6437, 267, 1256, 607, 16712, 1436, 6591, 20086, 11992, 538, 2342, 780, 4263, 1459, 267, 7826, 3506, 2611, 606, 7533, 851, 540, 519, 9721, 2069, 1062, 267, 8051, 585, 5111, 476, 3445, 260, 540, 782, 3119, 3506, 543, 5176, 3368, 540, 2034, 7400, 5238, 630, 302, 262, 298, 2465, 11738, 1299, 14205, 720, 267, 476, 1001, 278, 1040, 1452, 3506, 1246, 513, 2147, 2497, 547, 824, 1533, 30845, 3506, 267, 20170, 547, 3084, 21195, 1247, 20808, 13190, 936, 1978, 3344, 971, 607, 31672, 5250, 543, 23504, 4507, 269, 1306, 971, 267, 789, 1590, 3666, 8497, 741, 10058, 7826, 3961, 609, 3246, 8537, 5054, 602, 8597, 547, 3309, 2875, 5095, 780, 3080, 8037, 4183, 540, 7826, 3506, 538, 8581, 568, 741, 8561, 593, 29009, 1416, 267, 799, 11710, 689, 519, 3661, 602, 5289, 1646, 1264, 906, 4081, 9740, 269, 12815, 7394, 3292, 1419, 4125, 2834, 3909, 6044, 267, 1396, 17790, 16873, 267, 18956, 338, 267, 543, 2146, 3028, 7341, 269, 2755, 18593, 693, 519, 6281, 1377, 267, 7589, 3928, 2611, 1164, 267, 10452, 519, 11972, 9029, 540, 5132, 2861, 2069, 1851, 1312, 1053, 543, 3237, 780, 4913, 267, 713, 12972, 1063, 3909, 543, 3872, 6859, 814, 17275, 15784, 538, 2487, 1296, 269, 31379, 8044, 602, 519, 4797, 17282, 540, 7826, 3506, 25040, 3392, 4115, 15523, 543, 14944, 1149, 3646, 2509, 12683, 1143, 543, 13784, 630, 28319, 710, 267, 476, 1001, 272, 1040, 5047, 267, 13253, 8451, 950, 12394, 547, 31363, 11705, 337, 1400, 4978, 609, 11636, 1514, 5322, 267, 971, 607, 7365, 7862, 543, 10285, 2924, 269, 6736, 891, 2591, 267, 7826, 3506, 3136, 547, 3082, 676, 5356, 4244, 29009, 11865, 543, 2502, 538, 7679, 28216, 5188, 547, 6536, 8994, 2463, 543, 1620, 780, 1103, 2474, 540, 6437, 267, 7826, 3506, 3622, 1246, 519, 1482, 4808, 607, 824, 1533, 30845, 5238, 267, 23344, 609, 3606, 3334, 5059, 593, 3909, 2069, 543, 5837, 1646, 269, 2311, 519, 3119, 1377, 267, 519, 4860, 2213, 15099, 585, 28133, 18888, 5189, 538, 476, 1960, 280, 32486, 3152, 8112, 538, 8888, 1565, 2833, 3358, 547, 1367, 2115, 543, 4690, 269, 6684, 267, 519, 17563, 585, 28133, 18888, 630, 291, 2464, 267, 476, 1001, 276, 264, 11363, 1883, 1983, 971, 607, 2565, 3206, 267, 5876, 267, 543, 2792, 267, 26936, 5702, 609, 6626, 3466, 538, 8938, 23867, 2540, 27380, 780, 2026, 5892, 5018, 267, 7826, 3506, 11677, 24787, 936, 1978, 3344, 540, 741, 4238, 267, 1519, 5234, 19684, 543, 23504, 4507, 269, 25214, 267, 713, 13190, 3366, 547, 31482, 540, 683, 13607, 1143, 543, 3870, 22451, 282, 2705, 267, 2487, 15024, 2832, 547, 3895, 11413, 543, 14619, 269, 1280, 3236, 267, 8791, 476, 278, 263, 274, 7565, 322, 264, 540, 519, 4065, 2920, 630, 1960, 279, 264, 10238, 1080, 7130, 1759, 593, 4984, 538, 16075, 5773, 267, 4688, 585, 8320, 1141, 936, 11357, 2675, 3628, 19329, 513, 17063, 3691, 6033, 7271, 269, 11048, 267, 4145, 6414, 3823, 1761, 9186, 538, 3870, 540, 19071, 1242, 23078, 267, 10223, 5571, 9840, 4478, 9698, 543, 1569, 538, 9721, 2069, 630, 24445, 534, 4659, 267, 562, 6155, 4700, 780, 2414, 9414, 519, 10848, 7915, 538, 5883, 7826, 3506, 1369, 513, 2413, 9111, 267, 2015, 519, 2013, 540, 519, 25212, 2861, 853, 269, 23394, 573, 781, 3427, 269, 11374, 1857, 856, 322, 787, 936, 922, 30671, 547, 16153, 513, 1126, 6659, 538, 513, 1875, 4211, 987, 4301, 7622, 267, 519, 9872, 15428, 922, 3609, 547, 13918, 3885, 945, 6542, 7029, 547, 30176, 922, 4295, 2418, 269, 1635, 3257, 865, 267, 853, 269, 23394, 573, 781, 28837, 875, 7826, 3506, 666, 11457, 538, 3210, 547, 6848, 2242, 1510, 18731, 741, 1898, 1915, 780, 1103, 3932, 267, 7826, 3506, 13822, 513, 4105, 5057, 540, 8581, 781, 2069, 1062, 267, 18220, 532, 2189, 2934, 6508, 689, 741, 3140, 8129, 543, 10952, 24598, 25751, 269, 3414, 6024, 9542, 543, 6278, 609, 4207, 2152, 267, 891, 5238, 11441, 547, 2226, 10083, 9624, 13346, 2686, 8916, 269, 11086, 267, 1620, 519, 6384, 12044, 7826, 3506, 3091, 3407, 4030, 883, 6626, 27964, 7282, 4763, 267, 10014, 267, 543, 519, 28622, 540, 5132, 543, 1702, 538, 3872, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9824, 20814, 547, 513, 1007, 2197, 666, 581, 513, 18447, 1995, 267, 2523, 950, 621, 2501, 547, 1620, 519, 3872, 1062, 585, 707, 1453, 269, 901, 3391, 6663, 547, 1683, 1163, 1846, 609, 513, 3102, 7650, 540, 519, 3872, 1062, 538, 8581, 269, 898, 6227, 519, 1292, 5933, 540, 2069, 267, 519, 1184, 540, 679, 13764, 1453, 538, 1153, 267, 1893, 4170, 267, 519, 8244, 540, 19636, 3506, 267, 2010, 540, 4357, 3506, 267, 543, 519, 3681, 585, 32059, 543, 2228, 18375, 269, 634, 3804, 568, 547, 948, 596, 1118, 5483, 3664, 827, 707, 1453, 779, 2069, 1282, 707, 3251, 538, 8581, 563, 1432, 616, 519, 1292, 5933, 540, 2069, 538, 8581, 888, 763, 9721, 2069, 1062, 568, 5258, 883, 2185, 1292, 5933, 281, 7216, 19974, 267, 12729, 267, 18520, 267, 543, 570, 21033, 269, 7216, 19974, 2069, 568, 711, 25471, 855, 568, 2139, 547, 1453, 9907, 476, 274, 268, 276, 269, 12729, 2069, 267, 849, 1634, 607, 10026, 2069, 267, 568, 585, 1453, 9907, 476, 277, 268, 1321, 543, 568, 16601, 269, 18520, 2069, 267, 585, 1053, 9907, 476, 1724, 268, 1240, 267, 568, 5258, 883, 513, 1614, 4458, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 12140, 1315, 9537, 1315, 16241, 1315, 7826, 12140, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 634, 1353, 540, 2835, 543, 22251, 607, 1869, 1272, 5396, 814, 1279, 1044, 513, 4241, 1858, 540, 1148, 1686, 543, 7071, 269, 901, 1826, 540, 11247, 3091, 721, 4030, 883, 519, 2686, 4644, 540, 3332, 267, 1702, 267, 543, 1565, 2429, 1114, 5712, 269, 5047, 267, 621, 2636, 5159 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 10420, 318, 6919, 815, 556, 26098, 718, 16868, 257, 315, 321, 314, 320, 22271, 288, 19053, 31765, 275, 267, 4153, 321, 2580, 1582, 269, 3667, 994, 1038, 2132, 22388, 6600, 712, 318, 10420, 318, 6919, 1040, 19477, 30800, 825, 1219, 1283, 318, 6919, 4311, 2187, 1038, 8173, 1038, 17776, 519, 1412, 333, 262, 1034, 1455, 1913, 563, 1038, 9293, 799, 2408, 519, 1482, 1297, 540, 2053, 630, 328, 4318, 269, 10793, 543, 808, 650, 2408, 476, 866, 2053, 264, 786, 581, 454, 1038, 1293, 607, 476, 272, 1412, 333, 262, 1267, 454, 1038, 2433, 8873, 281, 7024, 1592, 454, 1038, 8173, 1038, 700, 8104, 294, 2207, 29335, 2891, 15575, 532, 5440, 9293, 5602, 1038, 700, 8104, 294, 2207, 19709, 30132, 3488, 15575, 532, 5440, 4939, 338, 9293, 3299, 1582, 8542, 994, 1038, 1948, 11754, 2189, 2262, 12451, 547, 513, 1305, 543, 4990, 1164, 9847, 1970, 543, 1832, 1283, 562, 454, 1038, 1913, 815, 1582, 29644, 318, 6919, 4590, 1038, 2338, 6958, 15968, 815, 1305, 4590, 1038, 585, 2262, 267, 1954, 336, 538, 1913, 912, 2018, 2338, 6958, 15968, 14491, 6600, 516, 336, 994, 1038, 2338, 6958, 15968, 815, 15044, 3799, 13246, 6958, 15968, 267, 9258, 18989, 2020, 1038, 1283, 5332, 13246, 6958, 15968, 815, 568, 331, 823, 3799, 13246, 6958, 15968, 267, 703, 4311, 8542, 11723, 1038, 1948, 296, 614, 622, 15044, 1305, 543, 2262, 1592, 543, 1349, 2262, 267, 325, 516, 336, 269, 9293, 609, 519, 1482, 1954, 336, 454, 1038, 1948, 15884, 581, 3773, 547, 1985, 1592, 269, 29203, 281, 744, 263, 26920, 540, 1283, 1913, 2608, 782, 1913, 994, 1038, 1283, 318, 6919, 815, 11713, 1038, 585, 1297, 538, 1283, 5332, 13246, 6958, 15968, 912, 2018, 1482, 6958, 516, 336, 815, 11713, 2018, 585, 2262, 267, 1954, 336, 538, 1913, 912, 3546, 952, 1297, 2652, 1954, 336, 912, 7386, 1482, 6958, 516, 336, 6910, 9230, 5320, 267, 1954, 336, 4917, 2018, 1283, 318, 6919, 6910, 4433, 877, 6958, 516, 336, 994, 1038, 2132, 1283, 318, 6919, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 19474, 12221, 692, 3698, 2027, 20189, 1662, 4433, 267, 1775, 2187, 825, 544, 815, 19474, 12221, 6230, 323, 276, 4590, 825, 544, 269, 26303, 4433, 1341, 1193, 9217, 4917, 825, 546, 815, 544, 269, 28411, 21745, 652, 4590, 825, 952, 546, 11468, 276, 316, 2652, 1412, 1822, 876, 12466, 1038, 2132, 546, 454, 825, 3116, 912, 1038, 2132, 7183, 7531, 3698, 11523, 6831, 1712, 4433, 2187, 825, 20735, 815, 834, 4840, 825, 1775, 815, 476, 271, 454, 825, 1247, 7003, 263, 753, 264, 2999, 476, 279, 912, 1038, 546, 815, 2027, 20189, 1662, 4433, 267, 1775, 994, 1038, 952, 546, 912, 2018, 20735, 6834, 546, 314, 276, 2639, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 20735, 692, 258, 623, 11286, 21450, 692, 258, 1820, 11523, 6831, 1712, 2891, 29582, 5602, 30298, 14794, 17750, 815, 834, 27918, 330, 325, 26387, 336, 4840, 2745, 11523, 6831, 1712, 9638, 340, 14794, 17750, 9239, 258, 623, 11286, 29375, 302, 692, 3698, 11523, 318, 6570, 531, 6831, 1712, 4433, 2187, 825, 20735, 815, 1496, 14085, 267, 7183, 267, 7183, 267, 7183, 2676, 19930, 7183, 267, 7183, 267, 7183, 267, 7183, 2639, 825, 1775, 815, 476, 271, 454, 825, 1247, 7183, 538, 20735, 912, 1038, 546, 815, 2027, 20189, 1662, 4433, 267, 1775, 994, 1038, 952, 546, 912, 2018, 533, 815, 703, 5560, 314, 276, 3910, 476, 1626, 994, 2018, 952, 533, 2999, 7003, 263, 753, 264, 543, 20735, 314, 335, 316, 2652, 7183, 912, 3546, 20735, 314, 335, 316, 815, 546, 314, 277, 2639, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1412, 8339, 21860, 263, 753, 2020, 2745, 11523, 318, 6570, 531, 6831, 1712, 9638, 340, 14794, 17750, 994, 0, 18257, 1477, 9223, 2433, 1477, 16485, 519, 3593, 585, 1079, 2338, 1063, 476, 272, 543, 476, 1911, 269, 3973, 1293, 689, 519, 1477, 12294, 1297, 547, 519, 2362, 1297, 269, 7179, 519, 2164, 547, 519, 5496, 23228, 18257, 5897, 12528, 17750, 272, 815, 703, 9272, 2891, 8923, 4283, 513, 1297, 1063, 476, 272, 543, 476, 1911, 281, 285, 834, 17903, 12528, 17750, 273, 815, 703, 9272, 2891, 8923, 4283, 1776, 1297, 1063, 476, 272, 543, 476, 1911, 281, 285, 834, 264, 10142, 4289, 815, 32582, 5897, 6112, 16733, 12528, 17750, 272, 2999, 476, 272, 543, 3593, 17750, 273, 2999, 476, 272, 264, 610, 630, 12528, 17750, 272, 3436, 476, 1911, 543, 3593, 17750, 273, 3436, 476, 1911, 264, 8029, 825, 1820, 3488, 301, 13246, 1590, 581, 1114, 2418, 1063, 476, 272, 543, 476, 1911, 267, 1577, 721, 2119, 1586, 20298, 825, 3593, 17750, 272, 815, 703, 9272, 3488, 8923, 4283, 513, 1297, 1063, 476, 272, 543, 476, 1911, 281, 285, 1412, 17903, 825, 3593, 17750, 273, 815, 703, 9272, 3488, 8923, 4283, 1776, 1297, 1063, 476, 272, 543, 476, 1911, 281, 285, 1412, 264, 10142, 604, 630, 12528, 17750, 272, 2652, 3593, 17750, 273, 8029, 825, 1820, 3488, 2467, 568, 4986, 547, 1293, 20298, 19197, 630, 12528, 17750, 272, 2999, 3593, 17750, 273, 8029, 825, 585, 1775, 538, 2039, 263, 12528, 17750, 272, 267, 12528, 17750, 273, 266, 272, 8029, 1038, 1592, 6910, 9217, 3418, 1038, 1820, 9217, 267, 1439, 815, 1412, 1412, 3418, 1038, 952, 630, 328, 4939, 476, 736, 2652, 476, 271, 8029, 2018, 1820, 28361, 333, 20298, 825, 1820, 17338, 3418, 19197, 630, 12528, 17750, 273, 2999, 3593, 17750, 272, 8029, 825, 585, 1775, 538, 2039, 263, 12528, 17750, 273, 267, 3593, 17750, 272, 266, 272, 8029, 1038, 1592, 6910, 9217, 3418, 1038, 1820, 9217, 267, 1439, 815, 1412, 1412, 3418, 1038, 952, 630, 328, 4939, 476, 736, 2652, 476, 271, 8029, 2018, 1820, 28361, 333, 20298, 825, 1820, 17338, 3418, 12828, 6769, 825, 1820, 3488, 4462, 4385, 4283, 262, 10142, 0, 258, 11822, 18185, 29807, 518, 454, 258, 674, 294, 2862, 267, 12096, 12054, 6856, 476, 1220, 278, 267, 17363, 645, 913, 339, 454, 16482, 258, 13517, 912, 258, 901, 2241, 9498, 16163, 518, 27786, 1022, 4082, 454, 258, 29921, 538, 267, 543, 17016, 519, 1267, 563, 16482, 258, 7151, 912, 258, 567, 3436, 476, 273, 1341, 476, 274, 910, 476, 272, 454, 258, 567, 28088, 281, 476, 275, 692, 3698, 11571, 8333, 663, 10031, 453, 758, 21726, 267, 12534, 815, 11571, 10112, 9892, 4590, 14851, 21453, 281, 3097, 453, 13537, 834, 10112, 9892, 281, 14307, 15254, 267, 834, 284, 2580, 1535, 454, 453, 758, 267, 1535, 815, 11571, 2750, 16054, 4590, 14851, 21453, 912, 453, 13537, 834, 4910, 738, 24333, 1535, 692, 3698, 11571, 10112, 9892, 10031, 453, 29514, 11571, 303, 3789, 454, 453, 758, 267, 15254, 815, 11571, 4131, 614, 4590, 14851, 711, 21453, 912, 453, 16596, 8771, 267, 476, 271, 267, 476, 271, 454, 28768, 453, 6112, 6936, 912, 453, 453, 18431, 303, 3789, 815, 11571, 303, 3789, 454, 453, 14851, 11571, 13142, 3488, 8782, 2187, 4848, 453, 758, 267, 1535, 815, 11571, 2750, 16054, 4590, 4848, 14851, 21453, 912, 15235, 453, 3553, 24868, 762, 263, 12534, 267, 1535, 994, 15235, 16596, 6936, 267, 1535, 267, 15254, 454, 4848, 28432, 912, 15235, 453, 2675, 534, 303, 3789, 815, 2063, 303, 3789, 454, 15235, 453, 19874, 454, 453, 28432, 912, 4848, 453, 2675, 534, 303, 3789, 20699, 476, 272, 454, 4848, 453, 19874, 454, 4848, 454, 16596, 8771, 267, 476, 271, 267, 476, 271, 454, 28768, 3698, 11571, 2750, 16054, 10031, 453, 29514, 11571, 303, 3789, 454, 28768, 453, 758, 267, 1535, 815, 11571, 28350, 4590, 14851, 711, 21453, 912, 453, 16596, 8771, 267, 476, 271, 692, 453, 6112, 6936, 912, 453, 453, 18431, 303, 3789, 815, 11571, 303, 3789, 454, 453, 14851, 11571, 13142, 3488, 22065, 2187, 4848, 453, 758, 267, 586, 815, 11571, 28350, 4590, 4848, 14851, 21453, 912, 15235, 453, 343, 815, 1535, 1341, 586, 454, 4848, 28432, 912, 15235, 453, 2675, 534, 303, 3789, 815, 2063, 303, 3789, 454, 15235, 453, 19874, 454, 453, 453, 19197, 11571, 13142, 3488, 268, 262, 2187, 4848, 453, 758, 267, 586, 815, 11571, 28350, 4590, 4848, 14851, 21453, 912, 15235, 453, 343, 815, 1535, 910, 586, 454, 4848, 28432, 912, 15235, 453, 2675, 534, 303, 3789, 815, 2063, 303, 3789, 454, 15235, 453, 19874, 454, 453, 28432, 912, 4848, 453, 19874, 692, 16596, 6936, 267, 1535, 692, 3698, 11571, 28350, 10031, 453, 29514, 11571, 303, 3789, 454, 28768, 453, 758, 267, 1535, 815, 11571, 15542, 528, 4590, 14851, 711, 21453, 912, 453, 16596, 8771, 267, 476, 271, 454, 28768, 453, 6112, 6936, 912, 453, 453, 18431, 303, 3789, 815, 11571, 303, 3789, 454, 453, 14851, 11571, 13142, 3488, 343, 262, 2187, 4848, 453, 758, 267, 586, 815, 11571, 15542, 528, 4590, 4848, 14851, 21453, 912, 15235, 453, 343, 815, 1535, 2608, 586, 454, 4848, 28432, 912, 15235, 453, 2675, 534, 303, 3789, 815, 2063, 303, 3789, 454, 15235, 453, 19874, 454, 453, 28432, 912, 4848, 453, 19874, 454, 28768, 16596, 6936, 267, 1535, 454, 28768, 3698, 11571, 15542, 528, 10031, 453, 29514, 11571, 303, 3789, 454, 28768, 453, 758, 267, 1535, 815, 11571, 10831, 4590, 14851, 21453, 912, 453, 16596, 6936, 267, 1535, 454, 28768, 453, 758, 267, 1535, 815, 11571, 4131, 614, 4590, 14851, 21453, 912, 453, 16596, 6936, 267, 1205, 24868, 762, 3287, 994, 28768, 453, 6112, 6936, 912, 453, 453, 18431, 303, 3789, 815, 11571, 303, 3789, 454, 453, 14851, 11571, 13142, 3488, 3488, 2187, 4848, 453, 758, 267, 1535, 815, 11571, 2750, 16054, 4590, 4848, 14851, 21453, 912, 15235, 14851, 11571, 13142, 3488, 264, 262, 2187, 20930, 16596, 6936, 267, 1535, 454, 4848, 28432, 912, 15235, 453, 2675, 534, 303, 3789, 815, 2063, 303, 3789, 454, 15235, 453, 19874, 454, 453, 28432, 912, 4848, 453, 19874, 454, 15235, 454, 16596, 8771, 267, 476, 271, 692, 258, 17776, 2436, 519, 1915, 1412, 10420, 262, 1223, 581, 1085, 10165, 454, 3698, 11571, 13142, 263, 10420, 2187, 453, 12921, 760, 2662, 2572, 10628, 4590, 453, 758, 267, 524, 815, 11571, 2419, 1513, 263, 10420, 994, 16596, 21453, 454, 28768, 258, 17776, 2436, 1022, 5311, 540, 9704, 1223, 581, 1085, 10165, 2676, 258, 1927, 609, 922, 10230, 1871, 267, 607, 606, 8870, 1297, 454, 3698, 11571, 10831, 10031, 453, 12921, 760, 2662, 2572, 10628, 4590, 453, 758, 267, 524, 815, 11571, 291, 13424, 4590, 14851, 711, 21453, 281, 2132, 8771, 267, 476, 271, 454, 453, 338, 815, 1412, 7055, 453, 6112, 21453, 912, 453, 453, 338, 815, 521, 1341, 524, 454, 453, 453, 758, 267, 524, 815, 11571, 291, 13424, 4590, 16596, 6936, 267, 703, 4433, 994, 28768, 258, 17776, 2436, 1022, 7857, 1223, 581, 1085, 10165, 2676, 258, 1927, 609, 519, 1085, 10165, 7857, 454, 3698, 11571, 291, 13424, 10031, 16596, 11571, 2419, 1513, 8443, 262, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 278, 3299, 1412, 279, 3299, 1412, 280, 11172, 2020, 258, 17776, 2436, 1022, 4484, 630, 320, 267, 536, 610, 524, 264, 1223, 581, 1085, 10165, 2676, 258, 1927, 609, 519, 1085, 10165, 4484, 454, 3698, 11571, 4131, 614, 10031, 453, 12921, 760, 2662, 2572, 10628, 4590, 16596, 11571, 2419, 1513, 8443, 262, 320, 3299, 1412, 321, 3299, 1412, 322, 11172, 2020, 258, 4787, 760, 16543, 10628, 3197, 454, 3698, 18178, 2662, 2572, 10628, 10031, 453, 6112, 6936, 912, 453, 453, 758, 267, 524, 815, 11571, 2419, 1513, 8443, 262, 1412, 7481, 453, 14851, 711, 21453, 912, 4848, 453, 19874, 16963, 258, 17776, 2436, 1022, 1915, 689, 519, 1592, 1412, 577, 1513, 262, 1223, 581, 1085, 10165, 2676, 258, 1927, 609, 519, 1085, 10165, 1915, 454, 3698, 11571, 2419, 1513, 263, 577, 1513, 2187, 453, 29514, 1085, 10165, 21803, 267, 11571, 303, 3789, 454, 14851, 11571, 303, 3789, 13843, 7003, 263, 2675, 10165, 21803, 2187, 453, 16596, 8771, 267, 1412, 7055, 22610, 524, 538, 1347, 338, 912, 453, 14851, 1085, 10165, 21803, 314, 2675, 534, 303, 3789, 316, 2652, 524, 912, 4848, 453, 2675, 534, 303, 3789, 6834, 476, 272, 454, 4848, 16596, 6936, 267, 524, 454, 28432, 912, 453, 16596, 8771, 267, 15234, 692, 258, 19461, 1125, 519, 588, 339, 2590, 547, 581, 1085, 10165, 454, 3698, 1305, 9928, 10165, 21803, 30415, 2187, 453, 29514, 1085, 10165, 21803, 267, 11571, 303, 3789, 454, 453, 2675, 10165, 21803, 815, 5569, 454, 453, 2675, 534, 303, 3789, 815, 476, 271, 454, 28768, 258, 5590, 519, 1543, 540, 4756, 1412, 12534, 262, 547, 1535, 454, 3698, 1305, 24868, 762, 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 ]
[ 29001, 1325, 9539, 320, 1506, 534, 267, 519, 1101, 3810, 15197, 7022, 540, 519, 32329, 945, 12199, 689, 7115, 538, 476, 3192, 272, 2394, 1010, 2669, 538, 476, 1220, 275, 563, 300, 26090, 5718, 281, 2701, 16554, 15011, 25428, 814, 9927, 519, 4108, 1379, 540, 519, 32329, 711, 1152, 676, 11449, 4108, 3937, 630, 3467, 982, 476, 3199, 674, 268, 1626, 8484, 1070, 855, 849, 676, 3384, 519, 32329, 779, 2872, 267, 3937, 543, 2027, 4229, 269, 2353, 540, 891, 616, 849, 3238, 538, 1585, 7526, 1519, 12925, 267, 28950, 807, 267, 15787, 267, 8644, 5984, 543, 29874, 269, 634, 32329, 568, 513, 2101, 13398, 585, 519, 2518, 7916, 4123, 267, 16475, 519, 1158, 779, 4102, 8878, 25488, 563, 17471, 6345, 281, 2701, 16554, 15011, 25428, 568, 1360, 19278, 454, 306, 16728, 17936, 1656, 772, 2801, 24285, 2048, 516, 915, 595, 8712, 2060, 2974, 5518, 24068, 20371, 8005, 729, 519, 1101, 7022, 540, 13314, 267, 945, 729, 519, 1101, 7022, 540, 32650, 5984, 267, 945, 729, 519, 1101, 7022, 540, 721, 320, 267, 519, 7022, 540, 579, 2801, 267, 945, 729, 519, 1101, 7022, 540, 1135, 663, 267, 945, 729, 519, 1101, 7022, 540, 688, 16951, 267, 945, 729, 519, 1101, 7022, 540, 15242, 267, 945, 729, 519, 1101, 7022, 540, 6957, 320, 267, 945, 729, 519, 1101, 7022, 267, 945, 729, 519, 1101, 7022, 540, 267, 945, 729, 519, 1101, 7022, 540, 751, 343, 553, 267, 945, 729, 519, 1101, 7022, 540, 795, 4821, 3821, 0, 17556, 1359, 13068, 540, 1975, 2459, 532, 543, 1912, 5109, 2433, 7085, 687, 540, 1004, 2887, 6408, 547, 3961, 555, 773, 1407, 1142, 1032, 267, 609, 2883, 9271, 2179, 532, 547, 17542, 540, 9489, 269, 1280, 713, 2601, 267, 519, 3354, 540, 707, 6213, 2123, 1344, 3884, 1406, 1945, 596, 1058, 1491, 21066, 563, 3086, 835, 540, 519, 1101, 3268, 596, 1058, 1491, 547, 2149, 707, 1239, 568, 547, 1902, 538, 606, 3961, 17403, 4027, 1062, 269, 1717, 267, 3257, 865, 666, 1152, 979, 865, 2484, 607, 547, 1832, 707, 3961, 2922, 952, 596, 723, 2370, 2856, 827, 1018, 596, 2461, 7231, 609, 563, 4415, 602, 538, 2247, 267, 1577, 779, 1491, 513, 1413, 693, 930, 540, 519, 1034, 7839, 1239, 3354, 6937, 602, 1107, 19890, 1107, 1869, 21314, 547, 1671, 333, 732, 1082, 1004, 519, 1158, 936, 281, 838, 2459, 532, 543, 26122, 563, 1432, 1975, 2459, 532, 543, 1912, 5109, 3657, 454, 4263, 835, 1448, 610, 1776, 267, 596, 4076, 4440, 4607, 2048, 329, 6064, 13875, 685, 538, 707, 2022, 7901, 610, 593, 707, 798, 768, 520, 267, 1318, 286, 4270, 267, 968, 4944, 600, 892, 568, 922, 5907, 6697, 269, 2311, 1655, 267, 621, 666, 581, 11212, 30414, 269, 1809, 693, 10782, 267, 621, 666, 581, 1360, 5906, 547, 707, 2123, 1344, 267, 3226, 952, 621, 568, 851, 540, 1018, 779, 1572, 513, 2048, 874, 5109, 1085, 600, 17483, 763, 1101, 3364, 596, 1058, 917, 827, 28417, 15737, 568, 602, 789, 2461, 2366, 856, 676, 6880, 2275, 3234, 10904, 610, 838, 27980, 609, 519, 9837, 547, 912, 268, 5136, 1555, 4871, 2272, 2338, 267, 1514, 3354, 2338, 267, 5491, 3556, 2338, 267, 18538, 267, 543, 1082, 811, 454, 268, 1133, 3104, 5944, 1569, 519, 23700, 685, 5904, 547, 3262, 930, 17351, 3009, 602, 666, 21102, 610, 18348, 1239, 454, 268, 5269, 2724, 689, 23700, 945, 2965, 1205, 8945, 539, 883, 14775, 547, 519, 5048, 630, 13433, 267, 972, 616, 1346, 945, 798, 1205, 8945, 539, 1317, 930, 15737, 1413, 1360, 16048, 994, 3086, 11735, 689, 2348, 606, 3961, 12611, 7020, 1062, 538, 1747, 547, 5150, 707, 1239, 267, 972, 616, 824, 4388, 602, 596, 3580, 1265, 3730, 585, 7863, 3054, 1996, 26122, 543, 28417, 4757, 563, 19522, 585, 6008, 1359, 13068, 540, 4578, 8232, 6601, 2851, 454, 268, 5590, 909, 693, 2547, 1079, 1114, 15737, 267, 835, 585, 4357, 946, 543, 519, 824, 585, 1857, 563, 268, 5269, 909, 2232, 4408, 602, 1131, 581, 2352, 547, 7058, 269, 901, 568, 2094, 838, 27980, 946, 10659, 540, 6654, 2338, 267, 1913, 267, 543, 4408, 547, 1628, 18579, 8638, 602, 789, 1223, 6494, 15737, 547, 563, 268, 1684, 711, 15476, 707, 4757, 9607, 9170, 593, 519, 5769, 267, 2523, 593, 2228, 2200, 602, 616, 11593, 2139, 547, 519, 1857, 630, 324, 3052, 269, 1514, 13033, 4609, 1916, 268, 1403, 972, 779, 513, 991, 547, 15476, 873, 6475, 1227, 267, 596, 666, 968, 332, 2532, 892, 873, 865, 838, 27980, 4465, 1406, 581, 2111, 547, 4584, 909, 593, 519, 4408, 269, 1280, 1383, 267, 2864, 982, 2048, 314, 16942, 6870, 316, 8730, 15476, 621, 607, 25941, 2401, 1673, 582, 5174, 532, 27408, 3766, 21166, 1673, 582, 10687, 3079, 563, 268, 1411, 1058, 2760, 16253, 547, 1022, 28417, 2094, 838, 27980, 13182, 2845, 543, 2256, 18967, 540, 707, 6114, 269, 1879, 596, 1205, 27424, 267, 519, 28417, 6835, 786, 1175, 1832, 4947, 563, 268, 2142, 530, 776, 540, 6835, 602, 2307, 596, 547, 2048, 684, 11357, 18285, 685, 547, 1945, 602, 596, 723, 1100, 2856, 540, 630, 9767, 4440, 2760, 1256, 20401, 539, 538, 519, 1101, 1747, 1040, 1975, 600, 1067, 946, 16995, 2048, 684, 11357, 18285, 685, 5330, 1878, 547, 8945, 596, 883, 30260, 602, 707, 4757, 2232, 538, 538, 8197, 3742, 269, 15439, 2322, 267, 2760, 4945, 2048, 684, 11357, 18285, 685, 6402, 4947, 689, 15737, 4171, 2959, 616, 7164, 563, 268, 3550, 602, 596, 4647, 267, 3888, 267, 543, 946, 519, 1034, 8242, 4528, 540, 707, 11422, 2094, 621, 2501, 609, 519, 5767, 3354, 15649, 563, 268, 6875, 5413, 540, 4550, 17898, 600, 12086, 602, 1419, 2097, 609, 707, 4757, 7817, 630, 324, 3052, 269, 23968, 7112, 841, 267, 717, 21166, 267, 9786, 31326, 267, 20787, 8759, 774, 8974, 12704, 1916, 268, 1280, 3773, 4027, 267, 3888, 606, 5769, 3354, 3070, 602, 30082, 18767, 15737, 585, 1022, 3354, 6937, 269, 1703, 616, 849, 1346, 609, 4359, 4550, 17898, 600, 29782, 563, 3086, 538, 519, 2680, 596, 798, 4309, 838, 20632, 15737, 267, 798, 711, 1569, 1022, 6402, 610, 4647, 1022, 540, 741, 27589, 282, 18419, 873, 30739, 3079, 269, 1403, 596, 798, 1205, 971, 6835, 5781, 267, 596, 1058, 2015, 4657, 707, 4757, 2232, 547, 2057, 519, 1981, 540, 3354, 23563, 269, 0, 1432, 568, 20971, 286, 898, 779, 519, 1184, 540, 1821, 7627, 942, 543, 3929, 1648, 547, 513, 1880, 1843, 610, 4305, 269, 13689, 2390, 519, 1599, 267, 2883, 9541, 666, 581, 1500, 538, 2724, 267, 13632, 267, 7554, 267, 610, 18195, 800, 2326, 269, 634, 2132, 593, 5092, 12346, 593, 519, 1826, 540, 5092, 267, 607, 1134, 607, 1175, 875, 1454, 8594, 568, 3769, 269, 2368, 9541, 616, 1454, 811, 5906, 982, 1866, 267, 1247, 1866, 1419, 4043, 547, 2628, 811, 538, 519, 2104, 269, 1677, 4137, 856, 1175, 875, 547, 6108, 4111, 1836, 267, 2015, 891, 4388, 563, 22873, 6053, 267, 1491, 883, 7156, 519, 4990, 540, 2883, 5092, 269, 6787, 621, 779, 513, 8994, 2508, 267, 513, 3761, 267, 610, 513, 8994, 2508, 267, 519, 3804, 540, 10115, 568, 547, 11126, 707, 2883, 2132, 269, 26597, 3688, 616, 1500, 1950, 267, 865, 621, 568, 2556, 547, 917, 519, 8594, 3769, 1991, 547, 1818, 606, 5092, 269, 5015, 267, 596, 991, 547, 917, 1022, 1826, 540, 1761, 3454, 17185, 6286, 269, 2368, 5092, 2472, 616, 711, 3454, 1673, 9254, 551, 1043, 267, 865, 596, 1522, 581, 18177, 585, 9878, 9204, 593, 519, 7443, 540, 891, 2883, 9541, 269, 4154, 10115, 454, 31807, 3539, 513, 2508, 610, 513, 3761, 3322, 3875, 1114, 3268, 269, 21231, 267, 596, 1058, 6430, 593, 519, 5301, 543, 2883, 5092, 4640, 596, 7287, 547, 1246, 269, 3973, 267, 596, 1058, 2015, 707, 3463, 10892, 543, 3854, 7569, 269, 1306, 4166, 607, 596, 4076, 5697, 707, 2883, 5092, 1935, 267, 596, 1590, 2689, 782, 540, 707, 5079, 607, 1134, 607, 4334, 873, 547, 3489, 519, 1034, 2500, 7024, 269, 19452, 267, 596, 991, 547, 1174, 519, 3454, 29298, 540, 707, 5092, 4640, 269, 1411, 11129, 547, 849, 4334, 30549, 720, 3790, 543, 849, 12587, 540, 1114, 7482, 547, 2327, 602, 596, 2461, 1818, 519, 1034, 2500, 3903, 585, 707, 2175, 563, 30772, 267, 596, 991, 547, 1589, 827, 519, 1981, 596, 3858, 547, 1491, 269, 1234, 2391, 593, 707, 8594, 26351, 267, 596, 949, 711, 4628, 1174, 519, 12178, 543, 12587, 540, 2883, 5092, 3688, 269, 769, 1931, 547, 7413, 519, 12178, 607, 1134, 607, 3986, 519, 24041, 1995, 267, 519, 9167, 568, 2921, 593, 606, 1898, 9623, 3758, 630, 298, 2839, 264, 547, 2285, 4105, 3877, 3823, 19469, 5092, 7482, 269, 901, 3758, 568, 4397, 547, 5818, 22371, 607, 1134, 607, 3132, 513, 22072, 10333, 3815, 585, 1710, 534, 857, 619, 269, 634, 4611, 1544, 786, 6157, 1118, 10115, 12863, 585, 16764, 563, 303, 3420, 2084, 7482, 568, 513, 6093, 1935, 585, 2804, 3354, 269, 1635, 1374, 908, 6666, 547, 513, 5542, 540, 10697, 6030, 267, 596, 3580, 723, 519, 2702, 547, 1118, 811, 2724, 538, 519, 2104, 269, 1306, 1134, 607, 952, 596, 2461, 711, 6899, 609, 1981, 267, 596, 666, 4444, 3045, 340, 885, 543, 849, 8994, 7482, 269, 589, 8994, 2508, 568, 513, 2186, 540, 3761, 602, 6585, 1871, 585, 519, 5817, 22590, 269, 1452, 2010, 540, 1760, 7724, 616, 513, 1826, 540, 6142, 3609, 269, 901, 4990, 540, 2508, 786, 3622, 3180, 519, 3601, 602, 596, 9715, 563, 20059, 532, 538, 513, 2508, 786, 4096, 2390, 519, 2186, 540, 2883, 5092, 269, 15380, 267, 713, 10522, 602, 519, 2508, 596, 2824, 568, 513, 8994, 2508, 269, 15439, 2322, 267, 596, 1902, 538, 513, 2883, 5092, 602, 568, 711, 513, 4871, 269, 6684, 267, 513, 6806, 4346, 786, 6157, 711, 581, 2111, 547, 4444, 513, 8994, 2508, 267, 865, 519, 7482, 616, 513, 1390, 1259, 547, 7413, 12178, 269, 14755, 602, 267, 9140, 513, 8994, 2508, 568, 711, 513, 4057, 4244, 269, 4154, 454, 1103, 1840, 547, 21528, 596, 1332, 707, 6666, 267, 2883, 9541, 538, 13632, 10123, 948, 519, 2804, 2916, 269, 8750, 532, 6990, 1450, 1870, 547, 6318, 2724, 689, 1808, 3854, 1235, 269, 1358, 666, 1118, 946, 540, 519, 7482, 547, 2308, 811, 5520, 607, 1134, 607, 1020, 6216, 20642, 1899, 540, 1587, 269, 1635, 9140, 513, 2508, 267, 596, 3580, 581, 21528, 519, 2804, 3510, 1332, 693, 519, 1482, 942, 269, 1924, 267, 621, 779, 711, 1175, 5363, 585, 596, 547, 4444, 519, 19736, 2344, 269, 1411, 666, 1118, 15931, 2883, 5092, 3664, 602, 786, 5818, 707, 2121, 4502, 563, 31807, 3539, 6006, 7482, 666, 581, 513, 1390, 1259, 547, 4129, 1518, 707, 14769, 269, 11048, 267, 596, 11129, 547, 2015, 707, 1360, 1378, 8594, 4187, 543, 849, 707, 3854, 7569, 1354, 1818, 513, 2883, 5092, 269, 1411, 3580, 849, 2154, 547, 2015, 707, 5092, 1935, 269, 2755, 930, 9541, 616, 1454, 1732, 982, 1866, 267, 596, 1058, 2697, 707, 3804, 543, 1018, 707, 3463, 4187, 568, 269, 898, 779, 1271, 547, 5431, 602, 519, 1655, 1797, 547, 1902, 538, 13632, 568, 547, 1491, 883, 7156, 1175, 875, 1454, 519, 2344, 786, 6157, 1871, 538, 4502, 563, 763, 2495, 540, 606, 5092, 568, 513, 3959, 602, 786, 6157, 3986, 538, 1871, 538, 942, 269, 898, 666, 581, 513, 3959, 267, 513, 2754, 267, 610, 513, 8994, 2508, 269, 901, 568, 1141, 519, 3017, 568, 269, 1403, 596, 2461, 3168, 547, 6718, 13632, 267, 596, 991, 547, 5431, 1018, 707, 3463, 4187, 568, 543, 849, 1018, 547, 18783, 950, 596, 6108, 269, 589, 2883, 5092, 2115, 547, 711, 581, 1759, 2390, 4664, 269, 3683, 942, 267, 621, 2115, 547, 581, 1759, 2390, 707, 3853, 269, 1323, 5140, 1505, 786, 1118, 596, 6666, 563, 20059, 532, 568, 513, 2186, 540, 5092, 602, 7125, 585, 513, 9645, 7274, 540, 2200, 269, 9521, 2883, 9806, 267, 513, 2883, 5092, 568, 513, 1259, 547, 1711, 4747, 269, 634, 3804, 540, 10115, 568, 547, 2333, 519, 1871, 540, 513, 1587, 269, 589, 2883, 5092, 568, 711, 513, 3959, 602, 6923, 24259, 922, 4502, 269, 589, 24041, 2115, 547, 6108, 741, 2200, 538, 513, 2816, 602, 814, 519, 2009, 547, 2709, 4747, 269, 898, 666, 581, 606, 3919, 267, 610, 621, 666, 581, 513, 16837, 2534, 269, 634, 1599, 540, 606, 5092, 666, 2039, 689, 1818, 513, 7443, 547, 7393, 606, 1367, 779, 5759, 563, 4407, 10115, 568, 513, 2186, 540, 10115, 267, 972, 616, 3875, 12178, 1644, 547, 621, 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 ]
[ 0, 3963, 946, 606, 13106, 16599, 545, 17934, 888, 2304, 26966, 545, 6676, 568, 513, 1455, 26966, 545, 27115, 267, 3622, 1500, 689, 5068, 543, 4496, 269, 15394, 513, 6676, 814, 22285, 539, 5068, 547, 1694, 3297, 519, 4522, 543, 513, 4496, 5911, 593, 519, 4395, 2529, 5568, 3079, 540, 5911, 972, 786, 581, 4496, 929, 29330, 547, 3180, 519, 6676, 547, 707, 4522, 269, 4107, 4122, 267, 789, 616, 1031, 585, 912, 21430, 1507, 26966, 545, 11941, 547, 930, 4522, 454, 31010, 26966, 545, 12972, 630, 516, 1555, 518, 10824, 994, 1692, 6496, 606, 13106, 16599, 545, 17934, 8844, 29726, 888, 3080, 1826, 540, 26966, 545, 6676, 568, 513, 11677, 518, 269, 4825, 664, 518, 10824, 616, 849, 1634, 607, 2048, 10139, 633, 10824, 9957, 1358, 616, 5921, 547, 3180, 707, 4522, 538, 741, 1699, 11460, 269, 1323, 2048, 5562, 6676, 685, 568, 513, 6676, 602, 568, 1818, 513, 1689, 547, 707, 4522, 269, 769, 1034, 2665, 519, 6676, 786, 1869, 1413, 513, 2603, 899, 513, 11677, 518, 269, 1323, 3742, 6676, 568, 513, 3787, 899, 513, 11677, 518, 602, 814, 1044, 9168, 547, 4019, 9543, 3196, 1141, 2877, 563, 288, 6676, 949, 581, 1031, 547, 4217, 609, 31925, 4522, 602, 6529, 856, 630, 27271, 1634, 607, 2048, 321, 3089, 4522, 685, 1040, 634, 4395, 5911, 666, 581, 7930, 9395, 2989, 547, 1847, 519, 4522, 1394, 883, 513, 1732, 2990, 269, 13106, 16599, 545, 10824, 666, 849, 581, 1031, 607, 23833, 3800, 538, 1453, 779, 26966, 923, 563, 2690, 1383, 267, 538, 3395, 1453, 267, 606, 26966, 545, 6676, 949, 581, 1031, 568, 547, 948, 1118, 2230, 585, 17808, 2937, 4522, 269, 6884, 3274, 512, 6235, 1776, 5694, 856, 540, 519, 1259, 609, 513, 6676, 666, 1118, 513, 2462, 3017, 267, 3850, 519, 2937, 5694, 513, 2312, 2619, 547, 21074, 267, 7551, 9319, 811, 7294, 2152, 16109, 563, 288, 6676, 949, 849, 581, 1031, 547, 4368, 606, 896, 321, 924, 267, 849, 1634, 607, 513, 3444, 1532, 924, 540, 519, 4395, 4522, 269, 589, 6676, 547, 4368, 606, 896, 321, 924, 786, 2356, 723, 20950, 3297, 519, 4395, 4522, 269, 901, 568, 1031, 547, 9133, 519, 1283, 4395, 4522, 6619, 540, 519, 2539, 4522, 563, 19894, 11941, 616, 1419, 2838, 585, 3742, 10824, 269, 901, 568, 1317, 2899, 519, 4522, 723, 6410, 267, 519, 6676, 786, 1831, 12809, 267, 543, 606, 16369, 949, 581, 2877, 547, 2746, 10675, 630, 528, 1412, 31259, 523, 10807, 519, 6676, 538, 1931, 547, 3035, 2417, 15494, 269, 4438, 6296, 2638, 5725, 609, 707, 26966, 626, 267, 519, 6676, 786, 581, 14661, 971, 602, 972, 568, 2899, 1586, 2604, 593, 519, 1966, 1858, 563, 1692, 568, 606, 13106, 16599, 545, 6676, 1500, 888, 288, 6676, 568, 1500, 1210, 2901, 606, 12705, 610, 1107, 23679, 1107, 513, 476, 274, 291, 11571, 269, 1323, 26966, 545, 2978, 666, 1287, 1118, 513, 2203, 540, 707, 4522, 269, 4635, 713, 2203, 519, 26966, 626, 786, 1374, 707, 6676, 543, 519, 2978, 786, 581, 2111, 547, 1118, 519, 6676, 269, 1411, 949, 581, 2111, 547, 2123, 1047, 519, 6676, 676, 16116, 519, 7990, 540, 519, 5068, 1107, 543, 538, 930, 2665, 267, 4946, 513, 4605, 563, 4263, 20963, 13106, 16599, 923, 649, 946, 476, 274, 291, 1085, 22395, 2864, 982, 24221, 547, 3489, 513, 2203, 540, 707, 5023, 269, 3776, 1085, 22395, 616, 18389, 11057, 267, 2966, 547, 20354, 7001, 2592, 689, 782, 7285, 3330, 707, 5023, 269, 1358, 616, 2147, 538, 2450, 547, 606, 3167, 28750, 269, 634, 17655, 1184, 568, 1454, 811, 16990, 982, 519, 4244, 540, 30255, 267, 4411, 12705, 1570, 563, 4692, 594, 723, 513, 6676, 547, 5957, 693, 3781, 3079, 540, 25329, 888, 6624, 2550, 7662, 513, 6676, 3079, 540, 25329, 547, 4368, 606, 26966, 545, 1966, 269, 2755, 4522, 616, 1373, 6410, 267, 2550, 616, 2356, 2838, 547, 5957, 741, 6676, 1554, 543, 3781, 269, 4495, 519, 15494, 814, 1044, 1500, 267, 519, 6676, 666, 2356, 581, 12816, 693, 3781, 1152, 547, 3180, 519, 15494, 563, 288, 6676, 568, 2356, 1152, 2953, 519, 12972, 540, 1808, 4522, 269, 1284, 723, 1447, 1852, 982, 609, 6378, 25329, 267, 799, 723, 811, 28253, 2694, 269, 1773, 919, 616, 1034, 4122, 1031, 538, 1453, 267, 1141, 972, 568, 513, 8903, 2601, 547, 26544, 2038, 630, 15290, 972, 568, 1869, 513, 7848, 540, 5144, 543, 2937, 4522, 1916, 8448, 3772, 267, 952, 972, 568, 1100, 1390, 4324, 547, 2038, 6304, 267, 15494, 666, 581, 2944, 2663, 538, 835, 1576, 540, 2126, 630, 324, 3052, 269, 25329, 610, 2312, 5447, 619, 1040, 634, 1034, 1455, 4128, 585, 2038, 6304, 1331, 912, 2414, 1847, 8009, 17376, 821, 4522, 883, 513, 1732, 2990, 630, 3602, 4522, 616, 1412, 560, 10107, 856, 5073, 2414, 948, 2057, 7050, 5694, 5957, 543, 8194, 630, 324, 3052, 269, 15494, 540, 606, 1412, 8354, 3562, 12967, 262, 11116, 267, 1141, 1651, 529, 531, 8728, 616, 18644, 1142, 824, 994, 8489, 519, 1126, 568, 1360, 1582, 23655, 827, 519, 5920, 540, 741, 4522, 454, 2414, 3180, 2230, 585, 3384, 2937, 4522, 267, 543, 5924, 9133, 4522, 856, 519, 1259, 799, 949, 581, 17527, 824, 4522, 689, 21074, 532, 454, 2304, 4244, 547, 1312, 10824, 543, 25329, 568, 1776, 1826, 540, 5110, 762, 27115, 1107, 2312, 5447, 619, 269, 1733, 12241, 789, 798, 991, 547, 581, 12816, 1554, 543, 3781, 267, 789, 616, 4625, 2312, 543, 5110, 762, 563, 1432, 568, 519, 3017, 1063, 5447, 619, 899, 769, 6665, 7955, 10378, 543, 513, 6676, 888, 305, 1430, 982, 1373, 513, 2582, 27115, 14661, 693, 1142, 3643, 267, 5447, 619, 616, 513, 3126, 540, 2048, 7955, 619, 685, 610, 2048, 339, 7590, 9957, 3962, 26745, 568, 5594, 1114, 547, 519, 1985, 267, 11093, 2604, 593, 519, 4522, 269, 3807, 899, 513, 6676, 267, 519, 5447, 619, 616, 4625, 5110, 762, 269, 3962, 5447, 518, 538, 519, 3126, 786, 7444, 1847, 707, 4522, 6251, 547, 519, 5497, 1267, 269, 13575, 5447, 518, 2126, 786, 2154, 930, 1507, 1412, 3430, 778, 906, 262, 547, 581, 5116, 593, 513, 1297, 540, 707, 4522, 267, 799, 666, 2356, 581, 2312, 610, 5694, 12258, 10696, 269, 5900, 778, 906, 948, 519, 5447, 619, 547, 17945, 1732, 267, 543, 1118, 811, 5730, 5322, 1141, 2838, 563, 1607, 568, 782, 2009, 609, 2780, 2029, 281, 5447, 619, 899, 769, 6665, 7955, 10378, 616, 519, 1267, 540, 5691, 2126, 4058, 269, 901, 2636, 707, 26966, 626, 547, 1544, 543, 1374, 5574, 3842, 513, 2780, 11191, 269, 901, 2126, 1544, 568, 1287, 12261, 883, 513, 3126, 540, 5447, 619, 2189, 547, 596, 543, 707, 1880, 26966, 545, 1966, 269, 9521, 513, 6676, 267, 782, 519, 4522, 666, 581, 6410, 693, 519, 1482, 942, 609, 1360, 5730, 5322, 563, 763, 1434, 3377, 568, 602, 1256, 952, 596, 4782, 25329, 547, 5447, 619, 899, 769, 6665, 7955, 10378, 267, 649, 1631, 723, 5691, 4058, 543, 25274, 2688, 2213, 5574, 2139, 1932, 563, 7775, 628, 16599, 545, 10824, 1869, 723, 741, 1747, 267, 855, 5447, 619, 899, 769, 6665, 7955, 10378, 568, 1419, 811, 3617, 1141, 3152, 1852, 610, 513, 2603, 540, 3350, 568, 2877, 563, 2026, 1022, 2126, 2115, 547, 581, 1808, 547, 707, 2115, 1433, 606, 4879, 2221, 563, 265, 2252, 26966, 545, 2473, 17530, 616, 2838, 267, 513, 13927, 540, 1269, 5197, 10039, 269, 6423, 16301, 543, 17148, 269, 9615, 949, 711, 581, 5078, 585, 596, 563, 4322, 15733, 616, 711, 2139, 585, 6718, 676, 519, 2489, 1857, 269, 1358, 616, 2705, 2139, 547, 20963, 13106, 16599, 923, 2550, 269, 11408, 1224, 519, 6003, 543, 1246, 519, 5528, 585, 946, 563, 9596, 811, 827, 17638, 26966, 923, 912, 2750, 8533, 1354, 543, 1310, 5961, 540, 26966, 545, 5574, 547, 2708, 519, 4093, 563, 18439, 519, 2039, 540, 26966, 545, 14233, 6035, 676, 20963, 13106, 16599, 923, 563, 20524, 3606, 1344, 593, 26966, 545, 10265, 6391, 538, 17638, 563, 20059, 580, 622, 6093, 2152, 538, 26966, 923, 543, 2994, 585, 31925, 873, 563, 1432, 568, 26966, 923, 286, 6258, 811, 676, 2542, 938, 5816, 2022, 563, 23921, 26966, 545, 2126, 286, 6744, 856, 938, 2709, 563, 5649, 811, 827, 15324, 26966, 923, 543, 15324, 5574, 563, 6701, 596, 3168, 585, 1283, 26966, 1235, 538, 17638, 286, 3367, 938, 3391, 593, 875, 547, 3442, 519, 1655, 26966, 1235, 563, 20524, 519, 1318, 942, 585, 707, 1126, 781, 26966, 545, 15360, 281, 6258, 689, 938, 16758, 781, 4274, 5796, 563, 23921, 26966, 545, 2126, 585, 12322, 286, 13555, 835, 540, 20963, 13106, 16599, 923, 262, 19190, 563, 18698, 26966, 545, 2126, 585, 3214, 286, 13028, 938, 2039, 540, 26966, 545, 3435, 563, 15507, 532, 585, 513, 1283, 27677, 577, 26966, 626, 20607, 328, 808, 4233, 286, 28651, 856, 547, 938, 17638, 2861, 16758, 563, 20524, 519, 3017, 1063, 26966, 923, 543, 4359, 26966, 923, 563, 12179, 2055, 286, 3367, 938, 14174, 17988, 910, 20963, 13106, 16599, 923, 12665, 3382, 782, 519, 1034, 1271, 3584, 563, 23921, 6595, 26966, 923, 286, 13555, 721, 585, 7525, 948, 563, 6124, 547, 26966, 923, 286, 6744, 938, 26966, 545, 13393, 3391, 563, 20524, 875, 547, 4368, 9402, 20349, 609, 26966, 923, 563, 8450, 5694, 4598, 2126, 1354, 543, 1310, 6337, 3144, 693, 20963, 13106, 16599, 923, 563, 8340, 856, 1018, 519, 12070, 1188, 16599, 923, 2126, 568, 563, 2710, 594, 991, 513, 29748, 547, 1294, 606, 26966, 626, 286, 3367, 938, 5816, 2022, 269, 0, 310, 1779, 547, 3427, 10432, 568, 22555, 676, 12389, 6790, 1115, 267, 513, 5177, 17493, 585, 4948, 6972, 267, 543, 3217, 1747, 1282, 2817, 29303, 13600, 1142, 2904, 269, 7831, 1032, 267, 811, 982, 476, 1691, 267, 1822, 5049, 3576, 851, 1107, 602, 779, 5111, 476, 6110, 267, 1822, 1453, 6972, 547, 1153, 563, 18662, 338, 1831, 8902, 543, 18668, 4025, 950, 1453, 3802, 547, 1153, 269, 4284, 1227, 3742, 1453, 616, 811, 10332, 543, 4712, 547, 1451, 982, 1346, 945, 616, 9141, 267, 7132, 513, 5458, 476, 2537, 829, 1298, 540, 8445, 6066, 6808, 568, 1500, 909, 689, 1346, 593, 519, 1153, 2196, 267, 865, 519, 811, 1453, 6972, 267, 519, 1447, 20316, 543, 5533, 972, 568, 593, 2199, 9897, 267, 1818, 1153, 19235, 513, 10930, 1747, 563, 8802, 3563, 1631, 267, 1224, 11014, 454, 14188, 596, 585, 9683, 10361, 974, 12329, 22352, 543, 2542, 930, 540, 938, 1543, 585, 4648, 538, 3119, 2069, 269, 19193, 1631, 585, 1863, 547, 1205, 19957, 1569, 547, 782, 1543, 563, 4462, 15905, 1569, 547, 3377, 267, 1655, 2259, 4930, 543, 27143, 454, 6124, 1543, 543, 552, 1532, 592, 2280, 1231, 9447, 2786, 547, 707, 28600, 1169, 11728, 454, 2704, 2819, 723, 606, 2272, 286, 6178, 538, 1934, 0, 2304, 3078, 1158, 1141, 1453, 666, 1020, 741, 7115, 267, 3605, 1007, 3615, 543, 2263, 741, 7060, 547, 5968, 269, 589, 1126, 779, 3791, 1032, 568, 513, 942, 540, 5458, 1689, 607, 789, 616, 3001, 689, 519, 2698, 13829, 540, 4816, 3125, 547, 519, 811, 4830, 267, 5985, 1158, 540, 23021, 269, 2311, 713, 2085, 1453, 616, 3695, 741, 7060, 547, 5968, 267, 547, 1847, 3483, 569, 267, 547, 7682, 741, 7115, 543, 23141, 267, 543, 547, 1852, 741, 1271, 15629, 3252, 269, 1284, 693, 25595, 2401, 5600, 1683, 519, 1126, 609, 606, 1604, 602, 786, 7914, 3613, 691, 519, 11095, 1184, 269, 3776, 16065, 17358, 519, 7928, 2242, 538, 30181, 267, 4690, 267, 543, 7207, 543, 2488, 9350, 267, 5812, 1416, 543, 11215, 3450, 269, 901, 1982, 2337, 519, 1126, 1020, 1010, 24353, 3860, 267, 1893, 543, 13004, 1983, 563, 8489, 1762, 6267, 666, 1628, 741, 6015, 543, 1983, 267, 1966, 4194, 543, 2744, 606, 2810, 1620, 540, 519, 1158, 1472, 873, 269, 1306, 1453, 1847, 856, 540, 22525, 3125, 543, 883, 519, 7115, 540, 519, 840, 17469, 1296, 267, 519, 10872, 585, 1565, 10953, 883, 513, 811, 11295, 10605, 540, 6209, 543, 3483, 995, 1565, 1141, 1453, 616, 9415, 547, 1935, 519, 1158, 609, 7279, 543, 609, 513, 2318, 29916, 547, 1451, 269, 2311, 713, 3942, 267, 1453, 991, 6015, 543, 519, 1983, 543, 7287, 547, 1589, 585, 2933, 267, 547, 4194, 2042, 267, 547, 960, 609, 1866, 267, 547, 5968, 267, 543, 547, 2744, 606, 2810, 1620, 540, 519, 1158, 543, 875, 621, 1568, 269, 898, 2882, 840, 2914, 3876, 267, 840, 268, 15105, 267, 840, 2173, 23411, 267, 2257, 543, 1514, 1983, 269, 1452, 616, 6026, 538, 513, 2067, 543, 9266, 5311, 282, 7551, 8716, 519, 1126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 938, 2486, 269, 1358, 8451, 950, 519, 1857, 3762, 2470, 610, 2486, 689, 606, 4998, 3510, 563, 2252, 596, 1413, 5702, 267, 596, 786, 8275, 602, 3592, 782, 2010, 540, 1514, 2152, 723, 1455, 8129, 269, 769, 519, 2631, 602, 789, 782, 616, 10562, 11214, 269, 12791, 547, 2161, 267, 952, 835, 31758, 519, 824, 835, 568, 849, 1034, 2693, 547, 8207, 563, 12892, 2152, 723, 513, 7372, 561, 748, 344, 1198, 593, 938, 2486, 543, 6038, 267, 621, 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, 3848, 7170, 281, 4095, 4144, 28549, 6181, 1742, 692, 5970, 596, 2479, 4862, 540, 519, 7524, 13037, 1572, 4144, 28549, 267, 849, 1634, 607, 12213, 822, 8932, 286, 901, 13037, 568, 9976, 609, 1390, 10761, 543, 7772, 2066, 3127, 543, 1851, 4095, 2950, 5001, 269, 4144, 28549, 568, 1419, 5219, 547, 607, 519, 16635, 540, 28691, 1317, 540, 519, 9118, 22311, 267, 26816, 3179, 267, 543, 32030, 602, 22113, 5321, 267, 10754, 267, 543, 22839, 1282, 713, 942, 269, 1306, 649, 2263, 713, 4241, 11812, 267, 1577, 721, 4685, 883, 930, 9159, 17691, 3297, 4144, 28549, 780, 763, 17776, 540, 7083, 681, 4821, 692, 3080, 2442, 10828, 2404, 609, 4144, 28549, 3322, 13584, 681, 4821, 267, 1010, 7385, 590, 7534, 267, 543, 1010, 7015, 700, 27232, 2006, 320, 269, 4340, 547, 519, 12473, 10548, 27011, 267, 681, 4821, 729, 608, 6150, 689, 1010, 10806, 585, 27552, 1296, 1310, 1373, 7301, 569, 15034, 540, 4636, 4777, 532, 269, 4438, 741, 24815, 267, 590, 7534, 729, 32043, 11474, 676, 24497, 3570, 267, 519, 27313, 4622, 540, 20092, 269, 2991, 513, 18979, 6370, 267, 681, 4821, 11324, 4240, 590, 7534, 543, 8120, 547, 1010, 10806, 267, 15718, 617, 27256, 269, 1677, 10950, 873, 1394, 267, 519, 4961, 1396, 3282, 22311, 2059, 519, 8905, 267, 2870, 513, 4190, 2619, 4904, 609, 1769, 30867, 3239, 602, 814, 1831, 24190, 609, 4144, 28549, 780, 18661, 12549, 700, 27232, 14741, 781, 17510, 1485, 692, 5194, 11537, 1650, 5532, 547, 4144, 28549, 7740, 1472, 31001, 700, 27232, 14741, 267, 519, 9699, 25976, 540, 5763, 267, 13884, 267, 543, 1434, 19539, 269, 26499, 3081, 602, 593, 713, 1554, 267, 1352, 7153, 689, 519, 5836, 1282, 519, 669, 9506, 540, 519, 17184, 15798, 630, 21579, 644, 571, 2494, 22474, 264, 676, 1312, 1821, 553, 630, 326, 16104, 264, 543, 607, 32136, 630, 12047, 976, 1040, 4595, 1287, 267, 27734, 3494, 602, 700, 27232, 14741, 11564, 5321, 602, 616, 2973, 543, 1134, 1396, 267, 8744, 1200, 25736, 540, 8788, 267, 11606, 267, 543, 1967, 269, 19198, 8661, 676, 7718, 908, 741, 8075, 609, 678, 836, 10008, 630, 10233, 995, 3270, 1500, 1210, 11954, 32340, 1070, 8654, 3282, 22311, 267, 5356, 19001, 547, 700, 27232, 14741, 267, 543, 11981, 905, 6814, 1927, 780, 21914, 7195, 328, 543, 7083, 31155, 20692, 692, 288, 14758, 8153, 855, 8449, 10578, 9661, 4448, 547, 4144, 28549, 2934, 3751, 10067, 629, 8932, 267, 513, 1649, 5271, 565, 550, 14610, 26060, 585, 1010, 28908, 543, 1175, 10350, 269, 1717, 267, 1010, 1379, 8057, 865, 5318, 602, 646, 1256, 13934, 1473, 571, 267, 519, 5601, 268, 6362, 540, 13140, 269, 1937, 3072, 267, 824, 10971, 8179, 948, 689, 7083, 31155, 20692, 267, 945, 3576, 519, 1106, 540, 513, 21221, 2909, 327, 2381, 3957, 966, 600, 3570, 269, 23239, 2056, 547, 2307, 585, 8806, 1614, 3268, 540, 2244, 267, 966, 600, 3570, 8945, 539, 10067, 629, 8932, 267, 8720, 519, 3003, 3618, 543, 896, 16447, 609, 1010, 1101, 1079, 26058, 269, 1280, 1027, 547, 1832, 1010, 2262, 267, 10067, 629, 8932, 6035, 1010, 2212, 585, 966, 600, 3570, 781, 3791, 1900, 269, 6764, 5962, 676, 1010, 21548, 267, 31155, 20692, 11292, 1864, 513, 1630, 517, 3850, 1864, 547, 3643, 1010, 5396, 2899, 513, 1032, 269, 2201, 4144, 28549, 267, 621, 568, 5156, 602, 10067, 629, 8932, 7024, 547, 3047, 267, 799, 568, 1946, 3885, 1930, 741, 9885, 543, 12271, 547, 10950, 14538, 543, 6068, 3283, 780, 1103, 3932, 267, 891, 2984, 9414, 1898, 4798, 971, 607, 22556, 17636, 532, 936, 9409, 267, 7326, 3056, 547, 11802, 267, 543, 519, 2956, 540, 24756, 543, 4687, 269, 3414, 891, 8941, 267, 1453, 666, 1732, 1174, 519, 4644, 540, 4144, 28549, 1247, 19825, 922, 2686, 17381, 543, 4763, 269, 5047, 267, 789, 949, 2721, 6667, 689, 891, 3504, 6386, 267, 6220, 2418, 899, 8296, 267, 10100, 267, 543, 8699, 883, 741, 1378, 2729, 269, 8414, 1565, 543, 6126, 4144, 28549, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 1779, 547, 938, 4966, 454, 268, 4144, 28549, 476, 1708, 274, 281, 634, 16635, 540, 28691, 267, 700, 5922, 267, 543, 11146, 454, 20756, 972, 267, 1762, 17701, 256, 5620, 596, 2479, 4862, 540, 513, 13037, 602, 781, 782, 827, 8279, 267, 26265, 267, 543, 14120, 609, 1920, 543, 2828, 286, 4270, 267, 602, 781, 4010, 1018, 4144, 28549, 568, 256, 1924, 267, 1577, 781, 7832, 593, 513, 10477, 3460, 547, 1451, 811, 827, 4144, 28549, 538, 476, 1708, 274, 910, 519, 1034, 31394, 267, 1000, 1074, 1782, 267, 543, 834, 338, 11548, 652, 892, 13037, 540, 782, 2336, 9827, 6744, 856, 912, 1692, 547, 18270, 622, 19889, 6363, 7037, 4144, 28549, 454, 1692, 547, 18270, 622, 4144, 28549, 1510, 15434, 24329, 454, 28319, 667, 1168, 8932, 476, 1708, 274, 454, 291, 12685, 8932, 609, 7433, 27207, 454, 1432, 568, 4144, 28549, 888, 291, 12685, 8932, 267, 849, 1634, 607, 12213, 822, 8932, 267, 568, 835, 540, 519, 1034, 1271, 15976, 538, 3127, 269, 898, 781, 519, 16635, 540, 28691, 267, 543, 1004, 8661, 621, 609, 10373, 7772, 543, 15131, 269, 5994, 519, 3781, 6607, 25139, 676, 5215, 540, 1000, 1074, 1782, 22250, 543, 10477, 8279, 910, 602, 781, 4144, 28549, 585, 596, 2336, 2691, 568, 4144, 28549, 476, 1708, 274, 888, 291, 12685, 8932, 3085, 1405, 723, 513, 6378, 4266, 282, 621, 781, 899, 519, 3579, 4819, 945, 2242, 3506, 1169, 1032, 269, 1809, 1810, 1405, 5855, 256, 769, 476, 1708, 274, 267, 4144, 28549, 786, 581, 9976, 593, 10732, 267, 715, 913, 3387, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 4144, 28549, 6181, 1742, 257, 607, 851, 540, 834, 16300, 16337, 1315, 6181, 1742, 267, 3733, 2195, 267, 674, 1963, 1315, 7489, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 15147, 5071, 910, 10435, 2659, 7734, 1744, 710, 2439, 5970, 596, 2479, 15336, 883, 513, 5399, 610, 21869, 648, 543, 1044, 6537, 547, 513, 1880, 1433, 286, 1548, 1500, 596, 4584, 621, 909, 286, 9320, 621, 729, 519, 3750, 2275, 10248, 3382, 14745, 267, 519, 12050, 4778, 267, 610, 1256, 1175, 519, 1259, 519, 2140, 1402, 6244, 856, 693, 596, 269, 2353, 891, 2609, 941, 5402, 2966, 676, 513, 8642, 14704, 547, 1711, 513, 3308, 6041, 540, 519, 1650, 3330, 269, 2334, 781, 1018, 649, 1289, 3382, 1374, 2439, 3383, 267, 1577, 781, 4685, 883, 713, 4241, 1158, 543, 2263, 875, 9358, 666, 1831, 513, 3382, 14704, 256, 1284, 786, 1376, 609, 1620, 1018, 8642, 1374, 1797, 543, 1287, 1445, 4481, 593, 2870, 9159, 1433, 6227, 780, 1262, 1432, 568, 18753, 5071, 15140, 5331, 9256, 707, 2648, 585, 5373, 630, 528, 1022, 1106, 540, 1148, 264, 543, 1210, 2413, 2645, 899, 5904, 543, 14342, 547, 5968, 4555, 543, 6835, 11617, 269, 8080, 547, 519, 7706, 540, 8642, 1374, 256, 898, 3096, 2592, 267, 1913, 267, 5546, 267, 543, 4778, 1927, 547, 1205, 2066, 1808, 2035, 267, 4606, 267, 610, 5013, 269, 6056, 827, 27291, 267, 19297, 267, 7270, 267, 543, 1256, 3381, 3756, 1107, 782, 4125, 8642, 9858, 2324, 741, 9059, 3297, 519, 10207, 2439, 3086, 602, 649, 917, 1018, 8642, 1374, 14122, 267, 1577, 781, 24680, 538, 593, 835, 2460, 540, 621, 281, 8888, 4190, 267, 10578, 267, 543, 13181, 2910, 309, 8991, 585, 2835, 2439, 1262, 17954, 1136, 13560, 513, 15147, 5071, 4373, 288, 1134, 27059, 1433, 3382, 814, 1614, 1292, 3334, 1384, 272, 269, 2878, 293, 3224, 15147, 5093, 901, 568, 1141, 519, 2140, 267, 2278, 781, 2012, 267, 543, 3006, 606, 3239, 610, 14745, 2408, 269, 589, 1390, 4395, 3382, 14678, 6645, 3988, 1018, 519, 1433, 568, 827, 1247, 849, 26354, 7279, 563, 273, 269, 2878, 12988, 15147, 5093, 15394, 3568, 24096, 267, 8039, 267, 17758, 267, 543, 811, 3877, 827, 519, 9115, 540, 519, 1433, 269, 7982, 6227, 1419, 948, 1761, 18046, 6430, 2436, 547, 6718, 519, 1433, 610, 711, 563, 274, 269, 2878, 8967, 710, 5093, 4014, 7522, 518, 982, 519, 4395, 543, 1394, 6227, 267, 519, 12636, 4249, 513, 2629, 1909, 950, 2835, 616, 11231, 19794, 593, 21684, 269, 1975, 1149, 991, 547, 5693, 4159, 519, 2140, 543, 2278, 781, 2012, 865, 602, 1004, 19855, 998, 588, 2931, 540, 2835, 666, 3362, 5544, 519, 3283, 789, 1616, 780, 4131, 781, 1413, 693, 1142, 5057, 14350, 547, 1174, 875, 789, 3565, 547, 1818, 513, 9735, 1433, 3382, 780, 265, 293, 3224, 3213, 951, 17041, 454, 2411, 692, 2691, 8888, 513, 4395, 3382, 267, 2307, 3054, 891, 2055, 1384, 265, 567, 1548, 568, 519, 9135, 540, 519, 1433, 630, 324, 3052, 1421, 14810, 267, 9814, 267, 15832, 21663, 1215, 1522, 594, 6451, 1455, 4798, 610, 6698, 2404, 609, 602, 9135, 888, 265, 567, 5808, 568, 1250, 3077, 5304, 286, 3657, 789, 1453, 267, 14038, 267, 4079, 267, 610, 20650, 286, 18833, 945, 786, 1224, 519, 1433, 2337, 3391, 2681, 5079, 267, 1462, 2762, 630, 325, 2632, 2511, 1070, 543, 2949, 7099, 563, 265, 567, 6496, 519, 2278, 4782, 2348, 606, 11609, 1915, 267, 6429, 267, 610, 7493, 1523, 8204, 519, 1650, 286, 2107, 5310, 1175, 519, 2140, 3294, 1131, 3411, 823, 2496, 2690, 1383, 267, 4952, 649, 2811, 8888, 513, 3382, 585, 513, 1007, 14810, 7045, 3209, 11331, 2608, 763, 10555, 11206, 29688, 4595, 621, 781, 513, 14810, 1433, 6322, 693, 12322, 267, 649, 1223, 3442, 7524, 4778, 543, 2189, 13944, 6163, 547, 7001, 3007, 269, 1323, 22539, 4104, 14745, 609, 6456, 7068, 1223, 533, 1664, 1719, 1247, 20726, 532, 693, 519, 9589, 2470, 540, 519, 1650, 780, 265, 12988, 3213, 951, 17041, 454, 1366, 19567, 4407, 1394, 6227, 1810, 1405, 2141, 4309, 607, 1454, 7499, 1166, 1515, 607, 4395, 6227, 267, 789, 1869, 1404, 513, 1713, 1909, 538, 7479, 8172, 2576, 547, 1224, 519, 1433, 269, 1358, 3335, 2270, 1384, 265, 567, 2349, 31755, 610, 2110, 11673, 540, 519, 4729, 267, 3197, 267, 543, 4259, 269, 5901, 5220, 13801, 2943, 8903, 2336, 265, 567, 17352, 689, 1065, 3176, 2959, 610, 4583, 4589, 9299, 2358, 519, 1433, 269, 4530, 30266, 10118, 1628, 17258, 543, 3972, 1851, 17053, 3988, 563, 265, 567, 7102, 4143, 27367, 1344, 827, 519, 2278, 4433, 1040, 22419, 2972, 6616, 827, 519, 1268, 3297, 519, 3817, 2439, 8855, 547, 3898, 713, 1344, 28426, 543, 1850, 4601, 267, 6028, 2614, 3043, 2230, 1472, 519, 8728, 585, 2653, 2542, 269, 18696, 1271, 3877, 1996, 15312, 547, 2327, 1312, 10342, 543, 9029, 780, 265, 8967, 1149, 17041, 454, 1366, 7042, 15987, 1507, 3379, 547, 519, 4395, 543, 1394, 6227, 267, 838, 1149, 12582, 1405, 581, 15763, 269, 1879, 20898, 909, 23276, 593, 513, 15808, 267, 838, 1149, 4196, 607, 513, 9910, 3915, 4580, 5009, 707, 1433, 1851, 9118, 1866, 269, 1677, 11694, 15287, 1384, 265, 567, 7994, 17804, 4778, 1063, 519, 4282, 543, 1257, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 1762, 1453, 609, 20284, 22230, 17762, 941, 7925, 547, 30369, 4093, 1519, 30759, 267, 3929, 2589, 267, 2591, 609, 9905, 543, 7864, 5294, 3469, 5615, 269, 5753, 779, 8965, 4093, 630, 319, 9690, 3732, 8730, 562, 815, 476, 8660, 264, 1185, 1044, 849, 3379, 609, 840, 4211, 302, 4668, 268, 866, 1344, 3144, 538, 519, 15043, 5455, 538, 8581, 5530, 630, 319, 294, 21397, 3732, 8730, 562, 815, 476, 27628, 1040, 634, 1459, 3732, 17820, 15186, 3606, 8965, 7965, 982, 519, 840, 4211, 302, 4668, 717, 21397, 3732, 630, 335, 476, 271, 269, 9826, 1040, 1280, 519, 1459, 3732, 267, 8464, 593, 1142, 543, 1169, 609, 519, 476, 276, 12676, 304, 9408, 2297, 723, 1044, 15186, 5532, 2348, 513, 2698, 1764, 6060, 267, 543, 3237, 4080, 27025, 8351, 609, 1489, 3435, 13859, 543, 18515, 547, 4497, 538, 8965, 7658, 8234, 269, 8758, 618, 568, 4397, 547, 5431, 7496, 547, 3435, 5185, 676, 10820, 538, 8581, 543, 547, 2232, 519, 991, 585, 9862, 2623, 948, 3435, 538, 519, 1576, 540, 5712, 540, 6595, 269, 27511, 543, 2453, 281, 5046, 268, 866, 282, 7214, 9124, 282, 11095, 9124, 282, 10295, 282, 2623, 282, 8965, 1489, 272, 269, 4985, 634, 27649, 6855, 630, 26542, 268, 866, 264, 814, 1185, 606, 13778, 1198, 593, 1272, 1472, 519, 1158, 1547, 13780, 4204, 9376, 23957, 17049, 1875, 268, 24207, 2951, 543, 1205, 538, 5905, 609, 609, 2367, 543, 2021, 689, 3544, 835, 779, 2123, 15335, 543, 8507, 3330, 519, 19479, 540, 3506, 267, 19190, 267, 543, 2146, 2861, 3435, 269, 634, 20022, 540, 8378, 543, 1153, 2861, 3435, 585, 1383, 1808, 2069, 267, 24040, 6304, 543, 948, 267, 4633, 543, 1893, 3797, 630, 20784, 307, 1070, 2168, 543, 17163, 3797, 630, 8976, 270, 5588, 1070, 543, 5626, 7028, 2322, 5778, 323, 1853, 7217, 1762, 1453, 267, 1519, 1346, 609, 7214, 543, 11095, 9124, 630, 2839, 291, 779, 264, 543, 10295, 8552, 4524, 630, 32359, 1070, 693, 2799, 8594, 540, 8801, 4093, 1496, 272, 267, 273, 4940, 6480, 23660, 4363, 602, 596, 786, 1265, 827, 835, 538, 476, 8182, 3214, 5001, 609, 606, 20284, 2073, 1247, 824, 2959, 700, 8566, 21695, 1199, 17057, 10339, 816, 2303, 602, 713, 4137, 568, 3810, 19765, 13846, 1547, 1452, 5515, 5031, 519, 5458, 2338, 540, 2367, 543, 2021, 543, 741, 3885, 4171, 2729, 723, 1034, 2693, 1044, 12936, 676, 519, 19479, 540, 1880, 2069, 3506, 543, 17522, 547, 24040, 6351, 2533, 269, 9093, 543, 2021, 609, 20284, 723, 1044, 4481, 7925, 267, 6236, 519, 1198, 602, 519, 5046, 268, 866, 6855, 543, 27579, 1522, 723, 593, 741, 1134, 5630, 543, 24040, 4093, 1547, 1306, 20284, 568, 27537, 676, 22907, 538, 1514, 2792, 267, 13542, 609, 23483, 4205, 267, 543, 1102, 2716, 1043, 543, 16625, 19326, 2073, 1346, 609, 6789, 7894, 889, 10091, 779, 8074, 281, 631, 7894, 296, 13978, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 5861, 9728, 281, 476, 1708, 272, 676, 519, 4589, 269, 17821, 324, 631, 7894, 296, 267, 30239, 267, 24766, 4596, 9539, 9391, 1965, 614, 2405, 290, 1335, 2750, 12304, 16848, 269, 901, 2110, 2376, 568, 9090, 606, 1930, 1569, 2110, 2376, 7856, 9944, 519, 2474, 543, 3871, 609, 519, 11300, 12780, 21922, 630, 6717, 15760, 264, 12689, 630, 997, 5151, 270, 2421, 270, 2185, 269, 271, 270, 1040, 11514, 3809, 476, 1708, 272, 267, 476, 272, 267, 476, 31003, 2568, 269, 476, 1015, 269, 26552, 271, 270, 4134, 3809, 30113, 7032, 10768, 16067, 270, 4134, 3809, 11514, 3809, 476, 1708, 272, 267, 21865, 2154, 22150, 5054, 267, 607, 17674, 1464, 543, 7294, 2242, 547, 741, 1604, 949, 2014, 11605, 267, 4160, 543, 2087, 519, 1981, 540, 4101, 19326, 1547, 476, 272, 269, 272, 269, 6356, 593, 29007, 531, 26859, 7896, 10765, 2079, 814, 12006, 10862, 2152, 585, 2367, 543, 2021, 609, 9517, 291, 610, 20284, 998, 519, 6855, 1496, 269, 0, 763, 8225, 25319, 2319, 538, 519, 2136, 2276, 538, 476, 7277, 275, 729, 513, 4663, 9967, 540, 519, 1101, 3486, 25319, 6474, 269, 634, 6474, 3576, 1747, 1063, 476, 2190, 543, 476, 2918, 5181, 476, 7277, 275, 693, 519, 853, 6723, 781, 595, 19897, 11833, 781, 2666, 693, 1018, 568, 1631, 476, 1789, 628, 9335, 543, 16340, 3118, 630, 6533, 2349, 334, 4040, 323, 2297, 264, 538, 24607, 269, 634, 3014, 729, 536, 2683, 607, 1412, 18197, 2276, 540, 3013, 8957, 519, 3703, 7276, 781, 8225, 19435, 685, 3248, 28657, 4465, 676, 476, 2537, 8255, 269, 2201, 519, 1101, 1554, 267, 972, 941, 689, 476, 276, 267, 1822, 547, 476, 736, 267, 1822, 4715, 2209, 543, 606, 6059, 1269, 1911, 267, 1822, 547, 1269, 6344, 267, 1822, 4502, 540, 914, 338, 941, 5116, 593, 519, 6474, 269, 634, 2136, 2276, 2319, 5129, 513, 6474, 538, 4516, 538, 476, 7277, 276, 563, 763, 8129, 540, 519, 6474, 3459, 2185, 1296, 4505, 267, 950, 513, 2319, 689, 519, 853, 6723, 781, 11833, 5828, 909, 538, 17842, 267, 3592, 3186, 3482, 1310, 513, 1279, 3460, 676, 3942, 16455, 998, 1715, 3840, 3557, 543, 2066, 8235, 14411, 676, 9252, 518, 563, 288, 6004, 269, 22361, 13607, 1206, 1185, 14376, 853, 6723, 781, 547, 1404, 519, 17842, 595, 19897, 11833, 693, 1753, 267, 855, 950, 519, 476, 1240, 2367, 8452, 593, 476, 2764, 4864, 476, 7277, 271, 267, 519, 23671, 941, 711, 24584, 873, 281, 519, 6004, 269, 5845, 13607, 1206, 945, 1185, 11231, 519, 6474, 729, 711, 519, 17842, 8630, 781, 14199, 267, 6723, 589, 269, 22361, 13607, 1206, 267, 855, 606, 791, 8803, 563, 8601, 519, 11876, 1314, 27592, 267, 513, 25319, 6474, 729, 26558, 1176, 11231, 267, 799, 729, 13984, 676, 513, 1434, 1297, 540, 4715, 2209, 267, 513, 21567, 6512, 543, 11184, 6723, 14880, 267, 519, 17294, 540, 16592, 4516, 269, 634, 1715, 3840, 518, 11833, 4465, 676, 476, 1015, 530, 1157, 1115, 267, 543, 2451, 593, 971, 1434, 2474, 602, 789, 14376, 519, 23671, 1524, 585, 1018, 729, 547, 581, 519, 1101, 25319, 6474, 1063, 3084, 6887, 2864, 982, 2199, 8630, 6887, 563, 12024, 3772, 267, 519, 23671, 6836, 547, 1459, 513, 11347, 3084, 2319, 267, 2864, 982, 3274, 519, 17842, 16671, 2319, 269, 6787, 610, 711, 519, 23671, 7307, 547, 2965, 1118, 621, 513, 3444, 4211, 534, 3385, 3084, 2319, 568, 15458, 267, 855, 5022, 2854, 1063, 519, 15731, 5815, 519, 8225, 2319, 949, 723, 3769, 5716, 689, 519, 2871, 601, 874, 595, 19897, 11833, 543, 16592, 4516, 5441, 11833, 607, 1134, 607, 519, 17842, 8630, 269, 22339, 1047, 906, 543, 19297, 585, 519, 3014, 1336, 538, 8021, 723, 519, 3014, 607, 1063, 519, 2475, 543, 4516, 267, 2864, 982, 1079, 2749, 6887, 563, 763, 3014, 729, 16516, 585, 1079, 2395, 267, 543, 1310, 519, 1101, 1554, 267, 4516, 1185, 1044, 6367, 1194, 856, 585, 476, 11025, 267, 609, 519, 7330, 1373, 476, 8618, 585, 476, 280, 538, 16253, 563, 4002, 519, 2034, 1554, 267, 3983, 4365, 15286, 1404, 267, 865, 519, 3014, 729, 6905, 547, 513, 3791, 1554, 267, 950, 519, 7330, 941, 782, 856, 585, 476, 5038, 267, 543, 4516, 941, 6367, 1194, 856, 585, 476, 8287, 538, 741, 2034, 7961, 902, 267, 4259, 519, 7330, 476, 11025, 8255, 547, 3094, 269, 4516, 6367, 1194, 519, 2475, 856, 585, 476, 6812, 547, 3094, 519, 6474, 676, 476, 2537, 8255, 563, 4785, 6345, 6723, 5453, 520, 23145, 1111, 8452, 1932, 3735, 593, 519, 3791, 1554, 267, 543, 729, 8719, 538, 519, 2361, 676, 21238, 15794, 267, 945, 1705, 711, 10627, 563, 2190, 1700, 2918, 5181, 476, 7277, 275, 454, 297, 269, 25306, 476, 1691, 454, 24730, 26588, 701, 476, 277, 530, 330, 1206, 454, 268, 2136, 2276, 540, 3013, 4465, 519, 19184, 543, 11221, 547, 2361, 563, 268, 14175, 15286, 1022, 1404, 9648, 593, 4303, 476, 273, 269, 634, 6474, 729, 6905, 883, 513, 3791, 1554, 563, 268, 6723, 5453, 520, 23145, 1111, 630, 321, 520, 1154, 585, 519, 7330, 264, 8959, 547, 12446, 538, 942, 547, 1491, 851, 538, 519, 6474, 593, 519, 3791, 1554, 1107, 21238, 15794, 2361, 539, 607, 12990, 585, 1864, 563, 763, 25319, 18802, 1014, 9291, 2605, 785, 718, 5206, 538, 476, 1220, 273, 267, 834, 763, 7330, 814, 2361, 539, 1082, 3486, 6887, 269, 4256, 5993, 6474, 1996, 4516, 814, 1044, 588, 3042, 2094, 476, 7277, 275, 267, 840, 1673, 908, 519, 9998, 13341, 1063, 4789, 543, 5245, 676, 476, 3451, 1296, 4799, 268, 476, 6942, 272, 10430, 8957, 4789, 24821, 2421, 9769, 6474, 1107, 519, 1101, 3486, 24821, 2421, 9769, 6474, 454, 268, 4789, 642, 10430, 11347, 11176, 13292, 630, 6942, 271, 1700, 6942, 273, 264, 1107, 519, 1101, 538, 7681, 11176, 454, 268, 834, 14532, 540, 595, 19897, 281, 476, 866, 628, 11416, 595, 19897, 2668, 594, 6717, 563, 268, 834, 18197, 2276, 540, 3013, 642, 4516, 2668, 595, 19897, 19425, 633, 269, 8158, 476, 277, 5181, 476, 1220, 279, 563, 268, 5261, 5459, 267, 9410, 269, 834, 763, 9510, 3486, 16311, 540, 873, 782, 2668, 661, 9915, 301, 322, 878, 16769, 269, 8158, 476, 277, 5437, 476, 1220, 278, 563, 268, 20831, 267, 13744, 630, 1626, 2904, 476, 1220, 272, 1040, 834, 290, 19897, 538, 4516, 281, 513, 3140, 2689, 2668, 661, 9915, 301, 322, 878, 16769, 269, 661, 9915, 301, 269, 8158, 476, 1015, 4864, 476, 1001, 279, 563, 268, 670, 8657, 267, 681, 12991, 5919, 22337, 940, 267, 645, 13034, 269, 630, 279, 4864, 476, 7277, 275, 1040, 834, 290, 4459, 4394, 20048, 1834, 2668, 634, 17454, 1977, 269, 6032, 269, 476, 4391, 280, 1700, 10037, 563, 268, 2605, 785, 718, 267, 9291, 269, 834, 9915, 3036, 4811, 570, 3201, 298, 910, 853, 2794, 634, 2142, 12023, 24090, 3143, 476, 2918, 630, 293, 27518, 267, 476, 274, 2904, 267, 476, 1220, 273, 29215, 18917, 22505, 269, 21444, 689, 519, 3312, 593, 476, 273, 5239, 476, 1220, 273, 269, 0, 347, 8448, 2422, 995, 5680, 25103, 454, 11321, 710, 5680, 13505, 25103, 454, 2704, 10939, 13149, 11094, 7027, 910, 589, 2146, 2861, 3919, 540, 9381, 7264, 543, 1866, 4171, 2081, 540, 1272, 267, 543, 1419, 17612, 267, 4096, 593, 2635, 7286, 8134, 563, 288, 26894, 13149, 11094, 5980, 910, 6348, 17416, 267, 1875, 3766, 17922, 3919, 602, 814, 513, 2189, 1909, 538, 5009, 519, 1353, 543, 5726, 540, 782, 12748, 1272, 563, 17220, 3057, 514, 601, 1057, 19137, 13372, 910, 594, 7246, 4646, 538, 476, 2735, 276, 547, 18359, 7286, 9265, 267, 2149, 519, 7286, 1604, 267, 543, 547, 3895, 519, 4264, 946, 540, 7286, 2200, 585, 519, 4324, 540, 2199, 1004, 563, 288, 26894, 4659, 540, 13149, 3163, 910, 18430, 338, 1382, 593, 4264, 946, 543, 4027, 540, 519, 7286, 1604, 563, 4785, 24959, 11752, 267, 27991, 1901, 820, 7345, 16323, 910, 31849, 540, 1344, 827, 4365, 267, 11837, 267, 5757, 2095, 267, 19126, 267, 543, 824, 2825, 4632, 563, 290, 564, 864, 534, 10263, 12524, 910, 2271, 2105, 585, 17053, 10927, 1053, 543, 22631, 540, 18107, 514, 1382, 563, 8256, 24832, 585, 7909, 4919, 3194, 543, 4065, 910, 5948, 540, 772, 2529, 269, 7909, 4919, 1382, 5238, 267, 9945, 267, 20682, 543, 6864, 7559, 543, 519, 13540, 540, 7286, 1382, 543, 2069, 538, 519, 2136, 2276, 563, 4263, 23007, 667, 20462, 514, 3194, 31913, 630, 288, 6185, 10611, 5861, 4700, 910, 3509, 2825, 2516, 538, 1489, 540, 667, 20462, 514, 1382, 6512, 532, 1927, 563, 17220, 595, 564, 864, 534, 4065, 3194, 15544, 630, 296, 5861, 9950, 10611, 5861, 264, 910, 13555, 1344, 827, 7740, 5001, 454, 291, 20462, 514, 6816, 5682, 2264, 910, 589, 1875, 17416, 3919, 799, 5932, 3301, 630, 13582, 2264, 264, 540, 799, 23131, 979, 7357, 547, 4262, 1272, 4027, 610, 2069, 3785, 563, 17220, 7909, 4659, 5851, 8525, 910, 6348, 6554, 531, 1895, 13991, 547, 4974, 543, 8497, 519, 1158, 781, 12084, 563, 10907, 15064, 26457, 5852, 540, 7909, 8693, 281, 13149, 26495, 531, 12983, 910, 11083, 8016, 568, 606, 3486, 1982, 5473, 476, 1556, 5238, 538, 5722, 6082, 547, 1683, 1239, 593, 2518, 2916, 1689, 269, 901, 1867, 3877, 2009, 5222, 540, 519, 1353, 593, 7286, 25850, 5095, 563, 290, 10938, 585, 26066, 5525, 910, 589, 4357, 1875, 17416, 3919, 585, 1382, 267, 5726, 267, 543, 2069, 538, 519, 9381, 543, 7286, 5054, 563, 290, 7394, 24035, 543, 13149, 11094, 910, 24035, 6339, 3820, 910, 1323, 4950, 1344, 3028, 2966, 547, 2333, 519, 1620, 540, 14147, 11818, 8134, 1158, 2647, 563, 290, 10938, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 271, 267, 476, 271, 267, 476, 272, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 273, 316, 3910, 476, 272, 267, 476, 276, 267, 6936, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 272, 316, 3910, 476, 276, 267, 476, 274, 267, 6936, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 316, 3910, 476, 271, 267, 476, 274, 267, 6936, 1070, 1422, 692, 14158, 825, 1948, 28055, 519, 1599, 1289, 454, 825, 2119, 912, 8587, 1820, 2891, 476, 28055, 532, 547, 946, 4465, 303, 657, 20228, 2100, 593, 4604, 281, 5602, 8587, 1820, 2891, 825, 1496, 260, 338, 2437, 4939, 1193, 6357, 314, 271, 28413, 8587, 585, 1775, 538, 2039, 263, 272, 267, 7003, 6357, 264, 910, 476, 272, 2187, 1038, 1820, 2891, 672, 14307, 536, 5157, 3910, 834, 2437, 267, 694, 335, 284, 3269, 994, 8587, 1820, 2891, 672, 14307, 536, 15631, 272, 3910, 834, 316, 1862, 14307, 694, 335, 6889, 2580, 1439, 284, 3269, 994, 8587, 1267, 815, 4465, 303, 657, 20228, 2100, 6357, 267, 678, 267, 524, 994, 825, 4849, 1401, 4003, 607, 552, 912, 8587, 1820, 19629, 333, 11902, 6579, 3633, 281, 1323, 9868, 7018, 1282, 519, 3801, 23528, 8587, 10250, 3724, 31428, 318, 1410, 322, 31526, 284, 338, 903, 14714, 323, 719, 994, 8587, 8959, 6834, 476, 272, 454, 8587, 3136, 692, 825, 1948, 6496, 621, 723, 519, 2953, 2132, 1826, 888, 825, 952, 1826, 31114, 264, 568, 711, 536, 944, 912, 8587, 1820, 19629, 333, 11902, 6579, 3633, 281, 634, 1871, 8120, 729, 513, 2580, 1193, 263, 6943, 31114, 4297, 1341, 14307, 711, 513, 29491, 23528, 8587, 8959, 6834, 476, 272, 454, 8587, 3136, 692, 825, 1948, 9894, 621, 2132, 519, 2953, 1871, 454, 825, 952, 1267, 11203, 513, 912, 8587, 1820, 19629, 333, 11902, 6579, 3633, 281, 634, 1871, 8120, 729, 2580, 1193, 31114, 1070, 834, 15290, 2580, 1193, 5416, 1070, 834, 13195, 4397, 23528, 8587, 8959, 6834, 476, 272, 454, 8587, 3136, 692, 825, 1820, 2891, 306, 15471, 23528, 825, 5293, 6834, 476, 272, 692, 476, 1820, 4590, 476, 2132, 630, 10139, 539, 267, 8959, 2020, 16482, 258, 14840, 513, 3126, 540, 4255, 593, 519, 4465, 27078, 20228, 2100, 1599, 454, 258, 30352, 281, 630, 14085, 994, 258, 16849, 281, 6936, 952, 782, 4255, 5293, 269, 476, 8771, 6382, 563, 3698, 1449, 310, 517, 27078, 20228, 2100, 10031, 476, 1820, 2891, 14818, 532, 4465, 27078, 20228, 2100, 29389, 2020, 476, 1948, 6496, 519, 4465, 27078, 20228, 2100, 1599, 2291, 888, 476, 952, 1599, 2750, 1235, 2891, 342, 517, 27078, 20228, 2100, 257, 2187, 825, 1820, 2891, 476, 634, 1599, 4667, 547, 2291, 907, 23528, 476, 3116, 912, 825, 1820, 2891, 476, 634, 4465, 27078, 20228, 2100, 1599, 3085, 1405, 3100, 547, 2291, 907, 23528, 825, 16718, 10797, 476, 5293, 815, 476, 271, 454, 476, 8959, 815, 476, 271, 454, 476, 1948, 14840, 513, 3126, 540, 1449, 2665, 454, 476, 585, 630, 321, 267, 678, 267, 524, 267, 513, 264, 538, 1496, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 316, 3910, 476, 276, 267, 476, 274, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 316, 3910, 476, 274, 267, 476, 274, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 273, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 316, 3910, 476, 275, 267, 476, 273, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 316, 3910, 476, 273, 267, 476, 273, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 316, 3910, 476, 276, 267, 476, 271, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 316, 3910, 476, 274, 267, 476, 274, 267, 8771, 1070, 26444, 8587, 630, 314, 314, 273, 267, 476, 272, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 273, 267, 476, 272, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 272, 267, 476, 273, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 272, 267, 476, 273, 316, 3910, 476, 271, 267, 476, 274, 267, 8771, 1070, 1422, 692, 8587, 1948, 6936, 10598, 32437, 454, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 316, 3910, 476, 275, 267, 476, 273, 267, 6936, 1070, 26444, 8587, 630, 314, 314, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 273, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 316, 3910, 476, 273, 267, 476, 273, 267, 6936, 1070, 26444, 8587, 630, 314, 314, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 3910, 26444, 1038, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 273, 3910, 26444, 1038, 1496, 271, 267, 476, 272, 267, 476, 271, 267, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 630, 321, 264, 568, 2016, 676, 519, 3830, 454, 27562, 335, 264, 815, 630, 320, 17070, 8358, 273, 269, 1879, 1142, 12432, 568, 10208, 539, 689, 454, 1492, 4009, 540, 519, 4737, 519, 12432, 12851, 547, 2676, 27562, 335, 8203, 273, 267, 519, 1267, 568, 513, 3501, 4009, 269, 630, 305, 335, 264, 1522, 581, 454, 320, 2189, 1297, 971, 602, 950, 513, 12432, 1297, 630, 290, 335, 994, 1260, 12723, 540, 1079, 6305, 2338, 630, 320, 264, 543, 630, 321, 264, 568, 4092, 454, 514, 519, 4737, 630, 305, 335, 1070, 1287, 952, 630, 290, 335, 264, 568, 10208, 539, 689, 454, 27562, 335, 8203, 273, 267, 1287, 513, 3501, 4009, 2164, 1152, 952, 630, 290, 335, 994, 1410, 1235, 538, 519, 4737, 540, 519, 2016, 630, 305, 335, 1040, 634, 10545, 540, 454, 1492, 1079, 6305, 2188, 540, 630, 290, 335, 264, 568, 581, 5833, 676, 454, 11357, 339, 24219, 513, 1297, 689, 519, 4737, 630, 305, 335, 268, 272, 264, 602, 568, 454, 331, 11343, 693, 519, 1283, 2451, 7944, 540, 630, 290, 335, 1070, 543, 1287, 454, 323, 1204, 532, 676, 519, 1297, 476, 273, 269, 1280, 1383, 1384, 13706, 681, 335, 815, 476, 275, 267, 5469, 602, 519, 12432, 1297, 595, 335, 21591, 1428, 267, 799, 568, 7768, 540, 519, 1079, 6305, 2338, 513, 815, 476, 274, 454, 663, 536, 815, 476, 276, 267, 568, 4092, 538, 4737, 681, 335, 815, 476, 275, 563, 305, 578, 630, 305, 335, 268, 272, 264, 815, 476, 274, 269, 3767, 519, 1297, 4092, 547, 519, 1283, 2451, 454, 14585, 1676, 540, 595, 335, 815, 476, 1428, 538, 4737, 630, 305, 335, 268, 272, 264, 815, 476, 274, 568, 519, 1297, 476, 280, 563, 30860, 602, 630, 272, 270, 273, 31618, 1428, 910, 476, 280, 264, 815, 630, 1428, 910, 476, 280, 8358, 273, 815, 476, 277, 270, 273, 815, 476, 274, 2676, 663, 602, 476, 274, 815, 513, 282, 519, 10545, 540, 519, 1079, 6305, 2188, 454, 1260, 19397, 595, 335, 815, 476, 1428, 269, 634, 3677, 6305, 3815, 536, 815, 476, 1428, 270, 274, 21591, 276, 780, 13706, 681, 335, 815, 476, 276, 267, 5469, 602, 519, 12432, 1297, 595, 335, 21591, 2641, 267, 799, 568, 7768, 540, 519, 1079, 6305, 2338, 513, 815, 476, 274, 454, 663, 536, 815, 476, 278, 267, 568, 4092, 538, 4737, 681, 335, 815, 476, 276, 563, 305, 578, 630, 305, 335, 268, 272, 264, 815, 476, 275, 269, 3767, 519, 1297, 4092, 547, 519, 1283, 2451, 454, 14585, 1676, 540, 595, 335, 815, 476, 2641, 538, 4737, 630, 305, 335, 268, 272, 264, 815, 476, 275, 568, 519, 1297, 476, 1428, 563, 30860, 602, 630, 272, 270, 273, 31618, 2641, 910, 476, 1428, 264, 815, 630, 2641, 910, 476, 1428, 8358, 273, 815, 476, 277, 270, 273, 815, 476, 274, 2676, 663, 602, 476, 274, 815, 513, 282, 519, 10545, 540, 519, 1079, 6305, 2188, 454, 1260, 19397, 595, 335, 815, 476, 2641, 269, 634, 3677, 6305, 3815, 536, 815, 476, 2641, 270, 274, 21591, 278, 780, 13706, 681, 335, 815, 476, 279, 267, 5469, 602, 519, 12432, 1297, 595, 335, 21591, 4649, 267, 799, 568, 7768, 540, 519, 1079, 6305, 2338, 513, 815, 476, 276, 454, 663, 536, 815, 476, 1556, 267, 568, 4092, 538, 4737, 681, 335, 815, 476, 279, 563, 305, 578, 630, 305, 335, 268, 272, 264, 815, 476, 278, 269, 3767, 519, 1297, 4092, 547, 519, 1283, 2451, 454, 14585, 1676, 540, 595, 335, 815, 476, 4649, 538, 4737, 630, 305, 335, 268, 272, 264, 815, 476, 278, 568, 519, 1297, 476, 3393, 563, 30860, 602, 630, 272, 270, 273, 31618, 4649, 910, 476, 3393, 264, 815, 630, 4649, 268, 3393, 8358, 273, 815, 476, 1015, 270, 273, 815, 476, 276, 2676, 663, 602, 476, 276, 815, 513, 282, 519, 10545, 540, 519, 1079, 6305, 2188, 454, 1260, 19397, 595, 335, 815, 476, 4649, 269, 634, 3677, 6305, 3815, 536, 815, 476, 4649, 270, 276, 21591, 1556, 780, 30860, 519, 1739, 4806, 1384, 13706, 519, 4737, 681, 335, 815, 476, 280, 267, 681, 335, 317, 273, 815, 476, 10037, 780, 10037, 910, 476, 3199, 815, 476, 272, 317, 273, 815, 476, 272, 454, 10037, 910, 476, 6507, 815, 476, 273, 317, 273, 815, 476, 275, 454, 10037, 910, 476, 7761, 815, 476, 274, 317, 273, 815, 476, 280, 454, 10037, 910, 476, 4792, 815, 476, 275, 317, 273, 815, 476, 1626, 454, 10037, 910, 476, 6321, 815, 476, 276, 317, 273, 815, 476, 1839, 454, 10037, 910, 476, 3393, 815, 476, 277, 317, 273, 815, 476, 3607, 454, 10037, 910, 476, 3953, 815, 476, 278, 317, 273, 815, 476, 5392, 692, 13706, 1985, 267, 519, 4737, 681, 335, 815, 476, 279, 267, 681, 335, 317, 273, 815, 476, 5038, 780, 5038, 910, 476, 8287, 815, 476, 272, 317, 273, 815, 476, 272, 454, 5038, 910, 476, 2568, 815, 476, 273, 317, 273, 815, 476, 275, 454, 5038, 910, 476, 4649, 815, 476, 274, 317, 273, 815, 476, 280, 1862, 663, 865, 593, 780, 7661, 267, 2015, 519, 4737, 681, 335, 815, 476, 275, 267, 630, 577, 4923, 14477, 1916, 305, 335, 317, 273, 815, 476, 1626, 692, 1626, 910, 476, 1428, 815, 476, 272, 317, 273, 815, 476, 272, 692, 2005, 5526, 602, 1022, 2016, 12432, 7768, 540, 1079, 454, 18905, 2338, 568, 519, 3693, 540, 513, 1305, 681, 335, 799, 568, 454, 3698, 1441, 676, 519, 3830, 681, 335, 910, 930, 3501, 4009, 815, 595, 335, 563, 2005, 5526, 602, 519, 1305, 540, 782, 681, 335, 1106, 513, 1895, 602, 454, 935, 13935, 782, 2472, 540, 6305, 2338, 269, 901, 1895, 454, 1952, 8986, 547, 849, 2270, 519, 2040, 540, 782, 8424, 540, 6305, 454, 11133, 1499, 5258, 676, 519, 1297, 476, 273, 607, 519, 1297, 1871, 540, 454, 1492, 32671, 4737, 267, 610, 1305, 267, 681, 335, 568, 3160, 547, 630, 320, 1341, 536, 264, 1315, 476, 273, 267, 971, 454, 7474, 519, 1305, 681, 335, 3568, 519, 3693, 513, 265, 321, 267, 1141, 513, 543, 454, 321, 616, 4130, 543, 3677, 6305, 2338, 6606, 563, 763, 1305, 540, 782, 681, 335, 282, 4061, 267, 568, 513, 1895, 717, 335, 602, 568, 454, 1260, 12723, 540, 606, 12808, 1297, 540, 10288, 5036, 540, 681, 335, 2676, 3602, 533, 568, 606, 4994, 602, 568, 3152, 982, 610, 3160, 547, 454, 273, 269, 6271, 1259, 547, 4612, 713, 568, 602, 1871, 540, 681, 335, 454, 13757, 513, 6389, 19231, 971, 602, 681, 335, 13843, 273, 267, 607, 519, 454, 15893, 476, 272, 991, 711, 581, 3769, 607, 851, 540, 519, 454, 6312, 1181, 269, 24511, 267, 519, 1297, 681, 335, 815, 476, 274, 568, 519, 1101, 1297, 681, 335, 454, 7474, 814, 811, 982, 835, 3693, 538, 922, 1305, 267, 12077, 267, 681, 335, 454, 284, 476, 274, 814, 1079, 2609, 538, 621, 781, 1305, 281, 519, 2338, 476, 280, 543, 476, 279, 454, 27920, 1947, 269, 1548, 798, 596, 1589, 286, 1772, 713, 4977, 2496, 1103, 638, 529, 1438, 569, 10484, 10955, 7773, 717, 269, 5576, 4292, 523, 692, 2971, 695, 332, 4141, 692, 29094, 4477, 704, 454, 4131, 781, 20301, 519, 7127, 538, 707, 476, 603, 4737, 543, 795, 628, 6241, 676, 661, 9217, 25814, 1070, 1141, 519, 1101, 4737, 543, 6241, 616, 4994, 539, 676, 476, 273, 543, 476, 271, 6606, 543, 795, 283, 328, 268, 272, 269, 1924, 661, 263, 273, 267, 271, 6661, 275, 267, 661, 263, 274, 267, 271, 6661, 280, 267, 661, 263, 274, 267, 272, 6661, 279, 267, 3092, 269, 3973, 538, 2489, 661, 9217, 25814, 6661, 263, 328, 266, 329, 7565, 328, 18191, 1070, 855, 713, 3884, 1405, 2921, 883, 2272, 6028, 1055, 1022, 29322, 602, 723, 476, 274, 610, 811, 6305, 2188, 269, 901, 543, 513, 2370, 7223, 786, 2491, 1034, 540, 1018, 596, 4312, 4767, 609, 513, 5634, 1966, 543, 1946, 519, 3270, 596, 4312, 2938, 865, 2484, 786, 4166, 3111, 952, 596, 1152, 2015, 13366, 609, 476, 273, 6305, 16975, 780, 10955, 7773, 1767, 912, 763, 10545, 540, 454, 1492, 1079, 6305, 2188, 540, 630, 290, 335, 264, 568, 581, 5833, 676, 454, 11357, 339, 24219, 513, 1297, 689, 519, 4737, 630, 305, 335, 268, 272, 264, 602, 568, 454, 331, 11343, 693, 519, 1283, 2451, 7944, 540, 630, 290, 335, 1070, 543, 1287, 454, 323, 1204, 532, 676, 519, 1297, 476, 273, 563, 2791, 3513, 1205, 519, 10545, 540, 519, 1079, 2188, 602, 2322, 713, 12432, 538, 713, 4737, 267, 711, 8209, 513, 6305, 630, 324, 3052, 269, 609, 476, 3199, 538, 4737, 476, 280, 713, 1184, 786, 6556, 476, 279, 1040, 901, 568, 1100, 647, 21215, 2094, 596, 616, 7384, 630, 292, 9217, 25814, 9984, 292, 9217, 268, 272, 25814, 268, 272, 4297, 270, 273, 14352, 328, 18191, 6393, 2252, 596, 4734, 1055, 29322, 609, 811, 982, 476, 273, 6305, 2188, 267, 713, 4806, 786, 5555, 3111, 630, 324, 3052, 269, 4737, 476, 1321, 267, 2094, 476, 10755, 786, 581, 7508, 538, 4737, 476, 1556, 6393, 10955, 7773, 1767, 912, 30860, 519, 1739, 4806, 281, 2483, 2791, 2811, 3168, 693, 519, 1592, 1917, 1456, 661, 9217, 267, 271, 9984, 292, 9217, 267, 272, 264, 2525, 328, 317, 273, 24179, 328, 266, 272, 7565, 328, 268, 272, 6661, 272, 317, 273, 267, 661, 9217, 267, 271, 9984, 292, 9217, 267, 273, 6661, 273, 317, 273, 267, 661, 9217, 267, 271, 9984, 292, 9217, 267, 274, 6661, 274, 317, 273, 267, 3092, 1862, 865, 596, 3513, 1205, 519, 10945, 692, 2252, 596, 941, 547, 4734, 1055, 29322, 609, 811, 982, 476, 273, 6305, 2188, 713, 4806, 786, 849, 3111, 630, 514, 4737, 476, 1556, 1101, 267, 476, 10755, 786, 581, 834, 332, 1170, 532, 2580, 865, 476, 1626, 786, 581, 834, 332, 1170, 532, 257, 689, 519, 5311, 540, 10945, 596, 1205, 2020, 10955, 7773, 1767, 912, 2005, 5526, 602, 1022, 2016, 12432, 7768, 540, 1079, 6305, 2338, 568, 519, 3693, 540, 513, 1305, 681, 335, 799, 568, 3989, 676, 519, 3830, 681, 335, 910, 930, 3501, 4009, 815, 595, 335, 269, 898, 5526, 602, 519, 1305, 540, 782, 681, 335, 1106, 513, 1895, 602, 3568, 782, 2472, 540, 6305, 2338, 563, 2791, 4465, 1405, 1205, 1022, 2338, 540, 519, 1106, 476, 273, 265, 335, 317, 330, 267, 1141, 533, 568, 513, 6305, 824, 982, 476, 273, 269, 1403, 596, 5581, 661, 9217, 25814, 264, 607, 594, 1705, 1657, 267, 596, 3513, 1205, 1169, 12432, 4849, 1346, 540, 519, 1106, 476, 273, 301, 267, 1141, 715, 568, 9642, 269, 901, 568, 1317, 1775, 266, 329, 543, 1775, 18191, 616, 2901, 1312, 1256, 610, 1312, 9642, 780, 10955, 7773, 1767, 912, 1607, 1895, 5526, 547, 849, 2270, 519, 2040, 540, 782, 8424, 540, 6305, 2338, 5258, 676, 519, 1297, 476, 273, 607, 519, 1297, 1871, 540, 519, 32671, 4737, 267, 610, 1305, 267, 681, 335, 568, 3160, 547, 630, 320, 1341, 536, 264, 1315, 476, 273, 267, 971, 602, 519, 1305, 681, 335, 3568, 519, 3693, 513, 265, 321, 267, 1141, 513, 543, 536, 616, 4130, 543, 3677, 6305, 2338, 6606, 563, 5278, 616, 14406, 585, 519, 4128, 1657, 267, 585, 1383, 630, 276, 266, 278, 8358, 273, 284, 277, 568, 711, 593, 713, 3349, 780, 2971, 3798, 7773, 692, 296, 786, 723, 547, 2689, 707, 16253, 538, 811, 1469, 547, 1294, 952, 621, 568, 4977, 563, 7312, 2063, 10839, 568, 13148, 25619, 693, 548, 770, 780, 304, 719, 324, 281, 2368, 616, 14406, 585, 519, 4128, 1657, 267, 585, 1383, 630, 276, 266, 278, 8358, 273, 284, 277, 568, 711, 593, 713, 3349, 780, 8002, 1302, 267, 630, 276, 266, 278, 8358, 273, 815, 476, 277, 568, 593, 519, 3349, 907, 476, 276, 265, 278, 815, 476, 3374, 267, 543, 476, 3374, 568, 538, 4737, 476, 277, 780, 263, 3374, 910, 476, 1839, 8358, 273, 815, 476, 1015, 270, 273, 815, 476, 276, 267, 543, 476, 276, 568, 519, 4130, 540, 519, 1079, 6305, 2188, 780, 296, 786, 2638, 519, 1964, 540, 1018, 596, 5018, 547, 1294, 952, 621, 568, 4977, 563, 12552, 585, 707, 6351, 2439, 16032, 3204, 1841, 10484, 294, 776, 692, 2971, 695, 332, 4141, 692, 29094, 4477, 704, 454, 10955, 7773, 1767, 912, 296, 786, 723, 547, 2689, 707, 16253, 538, 811, 1469, 547, 1294, 952, 621, 568, 4977, 563, 7312, 2063, 10839, 568, 13148 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2376, 267, 7768, 676, 13343, 26540, 540, 966, 307, 11310, 17582, 267, 729, 8385, 3370, 593, 11905, 13017, 9098, 563, 2691, 6236, 2199, 610, 6237, 7341, 547, 5000, 20835, 267, 621, 568, 1271, 547, 1174, 5693, 519, 3020, 6859, 269, 4107, 540, 891, 3646, 616, 2731, 6322, 693, 2804, 1646, 676, 1259, 540, 2816, 5137, 269, 1358, 616, 711, 6322, 3274, 693, 8716, 4830, 5615, 267, 585, 1383, 269, 12769, 31531, 267, 972, 568, 513, 8739, 27791, 896, 9690, 540, 8716, 2123, 1582, 25252, 11797, 538, 513, 2489, 2631, 269, 769, 1022, 2013, 267, 952, 519, 10747, 1448, 568, 547, 2333, 7694, 998, 20835, 7341, 267, 20835, 3294, 1590, 581, 1134, 6956, 563, 763, 1913, 16724, 543, 20835, 616, 4867, 2442, 267, 855, 4922, 3765, 4310, 267, 1317, 789, 616, 1373, 4294, 538, 13557, 547, 1896, 3833, 1114, 1870, 543, 2123, 5615, 269, 14597, 649, 5581, 606, 16724, 607, 968, 16341, 821, 945, 10703, 1161, 543, 31782, 513, 1713, 1007, 11036, 267, 543, 3217, 2123, 5539, 585, 922, 1967, 610, 5821, 1848, 634, 11036, 1223, 581, 513, 2898, 1007, 1870, 267, 606, 10137, 540, 606, 4540, 1870, 267, 513, 15196, 27533, 1788, 267, 513, 4677, 8630, 267, 8726, 269, 4595, 649, 2461, 6158, 827, 2816, 5137, 267, 1577, 779, 1491, 513, 6251, 1413, 1175, 693, 519, 4213, 563, 5575, 267, 621, 779, 1271, 547, 2232, 1114, 2798, 540, 2070, 269, 634, 2038, 22533, 5092, 2146, 267, 1519, 1312, 23109, 543, 14679, 3854, 1235, 267, 11148, 547, 2721, 513, 3376, 11984, 1063, 6932, 16904, 602, 2408, 547, 723, 606, 4316, 547, 1332, 3533, 4724, 606, 5216, 610, 8370, 7857, 2628, 4752, 543, 1346, 602, 267, 1247, 5732, 17709, 267, 616, 2693, 547, 1283, 856, 2901, 1932, 1507, 610, 1932, 3735, 547, 581, 540, 1719, 547, 1164, 16151, 9520, 269, 1358, 1419, 6003, 519, 2034, 1895, 607, 1272, 16654, 4213, 269, 1656, 519, 21458, 568, 1419, 693, 2547, 7646, 569, 3541, 690, 2218, 563, 2005, 666, 581, 11130, 267, 2705, 267, 602, 782, 29426, 4213, 616, 968, 5158, 16654, 892, 4213, 538, 602, 519, 16724, 779, 2628, 26160, 616, 2123, 269, 1403, 267, 693, 1022, 1448, 267, 1352, 16976, 602, 621, 568, 12691, 602, 1346, 2123, 2628, 26160, 786, 581, 7691, 267, 1352, 786, 10205, 519, 14679, 269, 634, 1648, 543, 1445, 2838, 540, 3811, 11639, 7569, 1164, 8404, 269, 1403, 519, 6859, 540, 602, 8404, 28201, 883, 519, 3845, 267, 519, 1648, 7106, 8986, 269, 901, 568, 711, 25127, 282, 621, 568, 28507, 1686, 563, 14276, 5515, 609, 1719, 538, 2804, 2208, 543, 1646, 267, 593, 519, 824, 1688, 267, 616, 3335, 5461, 538, 2816, 5137, 543, 12802, 267, 2864, 982, 1164, 3766, 664, 608, 1080, 269, 634, 1699, 1455, 7326, 568, 602, 6144, 2299, 1507, 543, 1762, 3549, 616, 2870, 519, 1034, 6009, 269, 2334, 2306, 621, 2653, 547, 2489, 1125, 547, 20835, 607, 1373, 513, 2101, 2318, 3196, 602, 19262, 19015, 543, 1489, 269, 769, 513, 942, 950, 12957, 267, 1344, 267, 543, 2792, 8441, 723, 27723, 2799, 1367, 11832, 7607, 267, 2816, 5137, 568, 1454, 1447, 13128, 982, 621, 729, 538, 519, 476, 736, 628, 2540, 563, 2171, 953, 5137, 267, 593, 519, 824, 1688, 267, 814, 693, 2547, 519, 4316, 547, 5352, 6009, 20406, 936, 942, 607, 602, 5763, 568, 7856, 2429, 519, 4346, 269, 1924, 2199, 5763, 5137, 814, 1831, 1776, 23163, 3077, 585, 930, 269, 10251, 267, 602, 849, 1797, 5763, 556, 1673, 626, 9084, 267, 693, 2547, 538, 3448, 2474, 269, 634, 5411, 1205, 3638, 282, 543, 602, 2724, 5555, 4991, 556, 2987, 4034, 539, 547, 1711, 1776, 5180, 540, 2208, 269, 901, 568, 519, 9759, 540, 519, 8945, 548, 1524, 7440, 563, 4131, 779, 1095, 2541, 267, 585, 938, 7525, 5301, 267, 602, 4679, 538, 6009, 543, 5924, 5763, 616, 2318, 4093, 607, 14621, 1279, 3856, 2804, 1134, 5630, 269, 1548, 1281, 602, 1611, 585, 519, 1374, 543, 7616, 540, 20835, 19015, 7341, 888, 2467, 616, 267, 538, 1249, 267, 32753, 1114, 2010, 540, 11639, 269, 3371, 568, 513, 2110, 1592, 269, 898, 568, 711, 5921, 547, 581, 27268, 2347, 267, 610, 29882, 538, 1022, 2631, 267, 855, 2864, 547, 1448, 856, 519, 6988, 540, 519, 29426, 5251, 267, 3226, 607, 621, 12211, 547, 2816, 543, 5763, 5137, 563, 268, 2107, 326, 1790, 16867, 2720, 630, 520, 2547, 2185, 1016, 268, 18196, 994, 763, 14724, 616, 21088, 1790, 16867, 2720, 5665, 607, 3318, 3028, 7426, 267, 22745, 2582, 1268, 3028, 4213, 269, 634, 2123, 1272, 16654, 2628, 4752, 585, 799, 789, 11441, 568, 1175, 602, 267, 2123, 269, 1656, 621, 568, 693, 2547, 15490, 267, 543, 5310, 18174, 880, 267, 547, 9794, 873, 593, 519, 4493, 540, 930, 13387, 267, 16912, 696, 633, 2628, 4752, 602, 568, 968, 16591, 585, 519, 4346, 1848, 1358, 1616, 547, 1118, 513, 2713, 267, 3257, 1018, 789, 3442, 267, 796, 16780, 3518, 1229, 676, 1463, 15569, 563, 3528, 519, 1259, 267, 952, 891, 11570, 21898, 547, 1305, 909, 606, 20941, 547, 3970, 741, 2123, 15668, 267, 610, 11578, 513, 8549, 14146, 518, 6176, 7089, 630, 25539, 2562, 1070, 789, 616, 18886, 676, 519, 590, 10621, 607, 513, 1007, 1870, 10661, 267, 1175, 607, 952, 789, 941, 4937, 11272, 269, 6056, 1018, 713, 1281, 547, 782, 1346, 7194, 3823, 1870, 1376, 13522, 543, 14286, 563, 2467, 616, 849, 3060, 1790, 16867, 2720, 22745, 3818, 16512, 270, 550, 640, 3028, 610, 1587, 4213, 1510, 18005, 14139, 1866, 538, 519, 2757, 2631, 269, 700, 5366, 12205, 540, 1641, 2339, 4966, 945, 2097, 1927, 547, 14892, 1804, 3785, 616, 513, 1455, 1383, 540, 713, 2623, 269, 4256, 5697, 2628, 26160, 616, 849, 2123, 267, 543, 267, 1586, 267, 711, 547, 581, 24565, 676, 930, 2489, 1305, 540, 4441, 269, 1358, 616, 1644, 547, 519, 1668, 328, 1790, 16867, 2720, 630, 5408, 2630, 1070, 855, 811, 14628, 267, 23349, 543, 1863, 1606, 2869, 1243, 563, 2467, 616, 610, 326, 1790, 16867, 2720, 945, 1528, 606, 13055, 4640, 547, 3035, 741, 2123, 2628, 26160, 1107, 609, 2757, 5520, 543, 513, 6378, 1747, 540, 1870, 269, 769, 1249, 267, 1419, 267, 519, 3919, 3294, 568, 851, 540, 519, 5551, 2628, 4752, 269, 1358, 2972, 3056, 513, 2319, 269, 1703, 2408, 547, 581, 693, 2547, 2185, 1016, 6741, 2886, 540, 713, 1826, 563, 2467, 616, 5299, 13906, 267, 1292, 560, 22901, 1790, 16867, 2720, 267, 945, 1930, 4552, 2892, 976, 267, 14060, 267, 543, 10081, 7816, 15945, 269, 1358, 2356, 1246, 2208, 538, 2199, 270, 2958, 1308, 5763, 267, 2864, 982, 2870, 621, 269, 1924, 267, 538, 513, 1360, 1483, 2631, 267, 789, 1810, 1406, 2339, 267, 693, 2547, 689, 606, 2799, 13884, 29459, 269, 1358, 1810, 1406, 3142, 1022, 1007, 2724, 547, 4884, 269, 1358, 1175, 948, 556, 22433, 11229, 2199, 2724, 269, 12618, 538, 519, 2338, 610, 2450, 540, 971, 4213, 267, 1519, 519, 6009, 789, 1683, 267, 1590, 267, 676, 4214, 267, 1246, 930, 2333, 538, 519, 2199, 2724, 3761, 563, 2467, 616, 4274, 1790, 16867, 2720, 945, 1590, 2508, 543, 27043, 513, 2319, 538, 1931, 547, 3035, 2123, 9547, 543, 6284, 538, 741, 5551, 2361, 540, 6791, 267, 971, 607, 519, 8762, 5735, 540, 13596, 269, 634, 2883, 3344, 540, 891, 4213, 616, 1419, 13948, 6281, 547, 519, 27428, 267, 2523, 538, 2070, 540, 519, 1249, 602, 789, 616, 1419, 4557, 3293, 20485, 609, 2883, 6617, 538, 1747, 269, 634, 4213, 2933, 4043, 547, 2611, 1507, 267, 1256, 950, 789, 616, 7123, 543, 3811, 269, 12618, 829, 694, 568, 711, 513, 3119, 6662, 585, 873, 269, 1358, 798, 3142, 1007, 2724, 547, 4884, 1107, 1419, 607, 5313, 14828, 563, 2467, 616, 1668, 328, 1790, 16867, 2720, 945, 616, 10169, 2344, 16250, 23018, 267, 538, 602, 741, 2123, 2628, 4752, 568, 1644, 811, 547, 7893, 9740, 676, 2757, 1870, 14573, 982, 547, 2123, 13190, 269, 1358, 1118, 2724, 585, 1866, 630, 514, 4034, 832, 264, 538, 1931, 547, 1118, 2724, 585, 2933, 267, 543, 547, 4309, 6284, 543, 13170, 585, 2348, 2944, 865, 269, 4256, 2123, 2628, 26160, 616, 1644, 547, 519, 1981, 3854, 2528, 543, 922, 1514, 2497, 269, 10705, 789, 1831, 1018, 9520, 899, 547, 1289, 17626, 11639, 267, 524, 4770, 856, 1585, 26136, 543, 3001, 593, 547, 1866, 269, 1358, 3622, 3142, 1007, 2724, 547, 4884, 676, 9513, 547, 4922, 24797, 6990, 543, 7218, 282, 855, 789, 666, 2965, 581, 7674, 17137, 543, 11488, 519, 12434, 856, 540, 4884, 267, 899, 9546, 5336, 691, 563, 4517, 972, 616, 6427, 334, 1790, 16867, 2720, 267, 945, 2731, 798, 2097, 909, 609, 1732, 544, 748, 25523, 1186, 543, 1491, 873, 547, 2344, 269, 10705, 789, 7649, 609, 1668, 328, 1790, 16867, 2720, 269, 20764, 675, 3854, 1235, 899, 713, 4999, 269, 1656, 609, 5499, 2472, 543, 14679, 3854, 267, 789, 666, 1711, 811, 6009, 267, 811, 3533, 267, 982, 1034, 824, 2010, 269, 4256, 7218, 616, 3592, 2141, 856, 540, 4884, 267, 543, 741, 12434, 2097, 547, 4884, 267, 4849, 585, 519, 14679, 3854, 1235, 685, 2671, 269, 898, 779, 1271, 547, 1448, 856, 267, 2705, 267, 602, 891, 3549, 2356, 616, 9715, 676, 3677, 3283, 269, 2311, 602, 1448, 789, 1419, 14897, 883, 519, 3677, 11769, 267, 543, 519, 1007, 6009, 14897, 543, 519, 27428, 1847, 547, 1732, 4365, 563, 4517, 267, 6368, 267, 972, 616, 17626, 267, 16351, 267, 1187, 1790, 16867, 2720, 267, 945, 1376, 1970, 1981, 26136, 630, 17141, 4950, 5829, 264, 585, 1187, 267, 543, 12212, 1402, 856, 540, 519, 3640, 267, 3592, 676, 8009, 267, 547, 1831, 535, 5429, 3585, 14547, 269, 1358, 616, 2147, 547, 519, 1004, 945, 899, 547, 3802, 519, 17822, 543, 4610, 609, 4496, 22572, 543, 12212, 1265, 513, 4154, 11777, 610, 513, 9042, 268, 762, 14368, 924, 269, 2107, 267, 649, 1522, 5635, 873, 547, 519, 1004, 945, 1404, 18921, 6191, 269, 7102, 2016, 11777, 5116, 538, 519, 3684, 814, 513, 1970, 4960, 540, 1373, 513, 16771, 282, 855, 621, 779, 1152, 513, 1507, 5092, 269, 4495, 538, 513, 1247, 267, 2576, 17993, 519, 13544, 13607, 269, 1635, 519, 1259, 267, 723, 596, 8068, 875, 519, 8732, 16394, 1118, 2386, 3025, 30650, 827, 519, 2462, 23602, 286, 1656, 875, 789, 798, 711, 2446, 519, 17542, 540, 8942, 602, 979, 11389, 1189, 539, 286, 28541, 9503, 568, 899, 602, 267, 1932, 563, 10521, 4122, 1031, 2474, 616, 17861, 1807, 543, 5787, 1807, 269, 589, 4052, 11984, 568, 602, 17861, 2209, 7153, 689, 519, 2804, 1646, 2146, 543, 5787, 2209, 689, 519, 5092, 2146, 269, 5549, 889, 2209, 4043, 547, 581, 1747, 543, 2816, 20218, 269, 24665, 2209, 4043, 547, 581, 5763, 20218, 269, 5549, 889, 2209, 616, 3622, 3964, 543, 2196, 676, 2804, 1646, 4648, 269, 24665, 2209, 616, 4122, 3964, 543, 2196, 676, 8732, 1117, 856, 21927, 30032, 4034, 832, 269, 5549, 889, 2209, 11441, 585, 7694, 2208, 543, 6940, 269, 24665, 2209, 11441, 585, 3432, 344, 2132, 593, 5092, 563, 24137, 19550, 23492, 23730, 2621, 666, 6157, 1711, 4195, 2199, 1648, 543, 3007, 547, 20835, 538, 2489, 269, 1677, 519, 6708, 602, 789, 2965, 838, 11921, 16904, 267, 741, 15556, 616, 811, 4122, 5787, 1807, 1570, 982, 17861, 1807, 1570, 563, 19968, 1544, 733, 3949, 849, 1628, 2199, 4656, 282, 543, 789, 3622, 5838, 811, 4628, 268, 11526, 267, 5092, 17263, 13055, 3255, 602, 723, 519, 1761, 547, 1332, 883, 8628, 20334, 547, 513, 2199, 4346, 563, 3383, 267, 607, 14621, 2816, 5137, 543, 2799, 13884, 267, 782, 20835, 568, 711, 2813, 3160, 269, 2060, 713, 1620, 267, 2199, 885, 543, 4525, 723, 519, 4316, 547, 1463, 1585, 2208, 543, 1646, 7341, 609, 811, 5059, 1198, 267, 952, 789, 2232, 267, 5000, 267, 543, 1489, 519, 1585, 2010, 540, 11639, 14384, 543, 14013, 563, 309, 307, 11310, 17582, 7512, 543, 6087, 3860, 20835, 1158, 17253, 267, 998, 5499, 6437, 267, 2199, 1870, 4199, 7740, 267, 543, 513, 2518, 3060, 540, 24625, 908, 4525, 267, 782, 5059, 593, 1614, 1898, 20334, 547, 1967, 281, 2312, 1620, 540, 4909, 1870, 3741, 282, 1569, 547, 12905, 267, 4143, 1344, 282, 543, 6209, 2123, 543, 9746, 3347, 269, 898, 568, 513, 13564, 10706, 540, 519, 9098, 15306, 23654, 3194, 4741, 267, 6462, 676, 519, 11173, 6015, 543, 15131, 540, 922, 7218, 267, 13384, 832, 543, 2828, 267, 1312, 9746, 543, 1367, 269, 4706, 1158, 22071, 616, 538, 2349, 2931, 7921, 267, 9098, 267, 7330, 563, 309, 307, 11310, 17582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5087, 540, 14522, 267, 4516, 543, 23529, 14291, 547, 6094, 543, 7745, 4672, 563, 300, 3881, 4005, 814, 1175, 18923, 3323, 269, 1280, 971, 3532, 2736, 13522, 547, 723, 7018, 865, 2038, 568, 711, 513, 1434, 1129, 269, 3502, 513, 1434, 1129, 693, 782, 269, 0, 272, 8382, 1923, 5410, 962, 2293, 454, 306, 663, 7921, 19267, 519, 2749, 609, 1360, 3376, 18116, 538, 1010, 6648, 834, 2419, 8522, 1701, 1261, 781, 711, 5461, 538, 1507, 267, 1808, 3877, 282, 646, 781, 3168, 693, 519, 2462, 4605, 267, 543, 646, 781, 4466, 621, 4904, 609, 2534, 267, 4904, 609, 1004, 7184, 3238, 538, 2713, 1272, 547, 922, 2407, 652, 563, 306, 663, 7921, 8098, 1080, 547, 513, 1297, 540, 2042, 602, 616, 1459, 538, 519, 2749, 269, 1261, 17767, 519, 4527, 540, 14382, 3191, 267, 540, 14228, 13137, 267, 540, 6710, 269, 1261, 26342, 602, 972, 568, 5533, 543, 6846, 543, 26846, 543, 14226, 538, 519, 22984, 540, 782, 519, 2534, 543, 782, 519, 11861, 548, 540, 519, 2749, 563, 1103, 19220, 540, 621, 782, 267, 2705, 267, 9995, 7921, 568, 10583, 540, 519, 2749, 543, 568, 10583, 540, 1010, 7681, 609, 621, 269, 1261, 12034, 519, 11315, 8728, 543, 2591, 607, 2798, 540, 11348, 267, 23405, 540, 519, 8990, 547, 4473, 1657, 519, 3983, 543, 9585, 519, 2816, 7996, 547, 581, 2944, 563, 290, 727, 543, 1397, 803, 1776, 2749, 609, 24850, 2212, 13465, 454, 810, 10583, 547, 581, 9800, 543, 21432, 543, 2178, 543, 524, 7342, 563, 293, 1782, 532, 6419, 1225, 4513, 8015, 519, 547, 559, 540, 533, 4979, 2816, 593, 454, 329, 984, 267, 1934, 568, 513, 7381, 12050, 22376, 1375, 518, 1305, 12667, 1996, 519, 454, 331, 8077, 2571, 4872, 454, 2171, 4076, 12943, 476, 28760, 267, 280, 1428, 2055, 269, 1284, 666, 2626, 16523, 267, 1932, 269, 16485, 513, 2243, 0, 1103, 519, 4630, 18100, 2146, 540, 20793, 302, 267, 621, 666, 581, 26101, 543, 13943, 547, 13720, 6927, 540, 7292, 5126, 269, 634, 4797, 6146, 902, 540, 796, 28534, 3979, 4892, 693, 519, 3946, 540, 1876, 11268, 267, 543, 519, 3350, 543, 3527, 602, 1232, 787, 873, 267, 10544, 3084, 24657, 513, 1906, 2053, 513, 1032, 269, 769, 938, 6899, 19389, 267, 621, 666, 581, 15673, 532, 585, 930, 547, 2490, 513, 9420, 3750, 547, 938, 2197, 781, 1699, 543, 3140, 12250, 10168, 269, 31687, 9429, 891, 2152, 896, 519, 24821, 568, 711, 606, 4781, 585, 519, 1507, 2551, 540, 3979, 4892, 2713, 538, 938, 1858, 267, 543, 865, 930, 540, 721, 8678, 1927, 609, 899, 2247, 539, 1004, 945, 849, 6999, 547, 4434, 513, 2199, 5188, 1472, 5198, 563, 1607, 22062, 566, 827, 17813, 538, 3013, 568, 513, 4901, 11461, 676, 2110, 7044, 267, 4553, 676, 1507, 1895, 4901, 543, 4687, 269, 901, 568, 519, 1101, 13186, 18799, 676, 681, 6993, 5861, 9950, 269, 25198, 20793, 302, 6019, 267, 543, 649, 2832, 547, 1683, 513, 12703, 267, 17519, 2230, 585, 5188, 269, 12474, 568, 3617, 585, 6502, 476, 1724, 543, 4587, 269, 0, 8256, 18790, 519, 26032, 540, 741, 12081, 267, 519, 1507, 1145, 540, 741, 1297, 267, 519, 29751, 8864, 543, 9636, 540, 741, 8075, 543, 519, 1202, 889, 867, 1588, 540, 741, 5234, 267, 741, 9295, 547, 3332, 568, 11999, 269, 12756, 22750, 10290, 267, 6723, 18703, 267, 24622, 969, 4068, 543, 17664, 267, 10906, 14332, 523, 267, 616, 1175, 513, 1906, 540, 741, 1297, 269, 14717, 1846, 4682, 5065, 543, 5828, 1018, 31611, 1975, 27660, 1244, 13440, 908, 569, 5219, 547, 607, 15234, 14567, 671, 324, 9721, 1145, 5257, 883, 13085, 1148, 563, 300, 14709, 3223, 2033, 607, 8282, 1200, 15234, 15905, 13007, 547, 27873, 5257, 547, 2348, 1373, 4547, 909, 607, 513, 13889, 656, 538, 8581, 269, 834, 5472, 519, 13889, 1218, 941, 4057, 543, 1185, 2462, 8075, 269, 1284, 7038, 539, 513, 2603, 855, 649, 1185, 4057, 1426, 267, 3983, 9174, 543, 1100, 3002, 269, 898, 729, 606, 6207, 10279, 547, 581, 993, 6748, 4799, 2005, 568, 1100, 9983, 602, 1034, 540, 519, 3056, 4408, 540, 17454, 16927, 16194, 3332, 616, 4775, 267, 1498, 1082, 540, 873, 24320, 2213, 519, 1249, 676, 1210, 15554, 11618, 269, 11153, 10617, 1185, 10057, 519, 1762, 2367, 269, 3798, 603, 24622, 969, 4068, 543, 1200, 23013, 543, 3523, 1807, 267, 966, 14489, 9410, 267, 27416, 606, 9721, 17552, 5371, 1282, 519, 4425, 518, 2782, 693, 799, 972, 941, 476, 2412, 2021, 543, 1079, 2367, 269, 24622, 969, 4068, 543, 17664, 616, 6093, 540, 741, 1826, 281, 5939, 268, 4707, 267, 1920, 27995, 2197, 6690, 609, 606, 705, 4575, 2648, 540, 519, 6968, 543, 540, 741, 24675, 727, 8075, 543, 606, 24451, 840, 21232, 566, 609, 695, 650, 902, 543, 533, 775, 799, 979, 12184, 873, 883, 1820, 269, 1358, 1185, 25010, 748, 3347, 609, 741, 22063, 267, 945, 1223, 10355, 3434, 543, 5916, 513, 5386, 733, 3319, 585, 519, 1514, 1931, 609, 606, 796, 745, 569, 20174, 563, 5475, 966, 14489, 9410, 781, 1920, 1185, 1044, 10032, 676, 10002, 4660, 10519, 338, 1739, 519, 8092, 13477, 781, 3609, 540, 10519, 16716, 267, 519, 22063, 3357, 1394, 543, 5249, 585, 4986, 269, 898, 568, 2693, 602, 513, 5108, 5182, 1386, 540, 25055, 538, 6689, 338, 6170, 1063, 519, 21543, 543, 27756, 3506, 1336, 19802, 538, 519, 771, 27920, 995, 23440, 540, 519, 9721, 269, 853, 889, 9799, 267, 1419, 1793, 8576, 569, 543, 1256, 19220, 995, 267, 519, 9721, 22234, 513, 13007, 602, 729, 1129, 958, 15877, 538, 519, 18211, 7100, 269, 1358, 1185, 519, 10516, 540, 5789, 337, 2939, 563, 763, 1267, 568, 513, 2189, 5339, 1106, 20206, 6819, 1312, 513, 6612, 585, 267, 543, 513, 2250, 7865, 540, 267, 741, 9721, 1158, 269, 634, 1655, 540, 17454, 16927, 16194, 5830, 782, 1185, 513, 3501, 12334, 585, 13172, 543, 606, 8213, 547, 519, 17381, 543, 29450, 545, 18854, 540, 9721, 4633, 269, 3798, 603, 24622, 969, 4068, 5206, 547, 1200, 23013, 966, 14489, 606, 2272, 540, 513, 2199, 4807, 781, 29059, 2390, 519, 2669, 540, 513, 16705, 781, 9393, 281, 834, 17764, 267, 8197, 267, 12103, 262, 600, 972, 1352, 568, 910, 519, 22916, 339, 675, 910, 543, 646, 2348, 2451, 1200, 609, 835, 1126, 543, 519, 1045, 4069, 540, 1776, 1701, 769, 1010, 4367, 547, 634, 7591, 24742, 540, 519, 5375, 2622, 267, 808, 631, 14271, 613, 630, 15367, 1031, 547, 9114, 593, 519, 6989, 547, 27653, 909, 519, 7391, 540, 22063, 538, 519, 10051, 2630, 264, 5206, 281, 834, 1103, 8581, 267, 585, 513, 1906, 1296, 811, 267, 649, 723, 513, 2442, 9345, 602, 568, 535, 30711, 543, 15999, 543, 13035, 267, 865, 602, 1346, 540, 721, 945, 6999, 547, 2328, 1376, 609, 513, 4960, 602, 568, 711, 2016, 547, 5830, 538, 4025, 1141, 519, 5614, 5503, 540, 519, 2199, 1272, 814, 1044, 16618, 267, 543, 519, 7556, 568, 513, 3965, 1152, 267, 543, 519, 12450, 814, 1044, 5828, 883, 20398, 4799, 3080, 1522, 1134, 2161, 602, 14339, 11276, 667, 1195, 548, 814, 513, 5386, 1274, 585, 25212, 13172, 610, 602, 3798, 3534, 744, 262, 289, 31151, 781, 960, 568, 13085, 569, 22064, 609, 9721, 575, 629, 267, 855, 741, 338, 568, 513, 19820, 593, 513, 2582, 6249, 267, 6466, 519, 10841, 754, 3599, 5830, 7768, 513, 1623, 21620, 676, 4881, 519, 13546, 696, 543, 575, 23932, 2685, 24808, 9721, 32066, 1158, 6252, 547, 519, 544, 1393, 569, 812, 333, 1229, 835, 540, 519, 18211, 4531, 1846, 269, 898, 2306, 585, 811, 10427, 18792, 543, 811, 1093, 17257, 13357, 269, 5664, 11665, 5830, 899, 5261, 7066, 341, 528, 543, 26391, 3627, 8725, 543, 22707, 534, 11612, 326, 1231, 723, 512, 4046, 21724, 538, 519, 2462, 2777, 538, 5386, 9089, 971, 607, 674, 8962, 540, 674, 28232, 267, 1215, 3509, 30683, 547, 20770, 543, 18999, 5142, 515, 979, 13560, 267, 855, 741, 1603, 814, 513, 530, 626, 995, 2011, 269, 31453, 267, 5310, 267, 585, 808, 717, 10787, 22641, 781, 24410, 7632, 267, 16080, 11107, 723, 2760, 3833, 9787, 539, 519, 14834, 1514, 1931, 540, 519, 10841, 754, 3599, 7622, 563, 763, 1655, 543, 1034, 5609, 3563, 6609, 540, 606, 9721, 2462, 2777, 2501, 689, 519, 3735, 8349, 710, 4563, 6229, 630, 323, 5922, 540, 519, 476, 275, 628, 3057, 638, 529, 540, 667, 4428, 518, 514, 543, 2997, 320, 1070, 4171, 14480, 27926, 514, 8065, 538, 4279, 6182, 15967, 28732, 568, 16957, 569, 1759, 593, 595, 1633, 20623, 1195, 324, 538, 3213, 13560, 269, 2701, 4330, 621, 607, 834, 320, 15454, 543, 9178, 532, 19289, 28183, 581, 548, 16331, 1229, 676, 32042, 540, 20935, 5065, 4229, 2668, 634, 2781, 559, 902, 941, 22090, 651, 1042, 609, 3880, 1782, 4773, 540, 5569, 799, 9859, 519, 7961, 10179, 762, 20984, 883, 7996, 8043, 269, 634, 30664, 764, 2406, 8036, 2296, 3723, 2006, 543, 855, 2401, 3576, 547, 9849, 544, 28854, 1134, 532, 27971, 693, 782, 2053, 607, 789, 941, 7142, 547, 530, 1228, 998, 30077, 956, 538, 519, 23725, 832, 269, 3143, 835, 2479, 5887, 3293, 883, 519, 16171, 10689, 1510, 606, 936, 1723, 520, 543, 519, 10051, 267, 538, 519, 12600, 26692, 540, 519, 1614, 1793, 8576, 569, 22413, 537, 6549, 19946, 267, 729, 513, 8486, 540, 2083, 628, 269, 7324, 519, 10856, 24767, 525, 543, 32176, 9586, 1286, 322, 1162, 267, 972, 1166, 18636, 1229, 513, 3099, 540, 2025, 1688, 27787, 3943, 27487, 267, 2366, 1524, 3232, 547, 519, 6539, 29353, 543, 1287, 16207, 593, 519, 6989, 676, 519, 1614, 2192, 3438, 919, 267, 945, 1223, 1224, 9444, 3943, 6862, 2296, 543, 19037, 267, 2141, 11273, 519, 835, 3364, 267, 32176, 9586, 543, 5388, 267, 23017, 543, 28777, 909, 538, 513, 16801, 1169, 11728, 543, 24667, 730, 3232, 269, 4303, 543, 3781, 519, 22516, 834, 651, 696, 20468, 827, 1010, 2479, 1673, 13388, 1782, 18083, 267, 585, 646, 1185, 15110, 14480, 27926, 514, 8065, 1510, 9100, 1746, 513, 6824, 540, 519, 2724, 602, 729, 2838, 547, 2196, 621, 269, 5257, 454, 1607, 729, 9425, 6093, 269, 1879, 519, 5856, 6723, 18703, 15110, 18703, 8065, 538, 3213, 25832, 519, 8907, 538, 10519, 338, 729, 6550, 476, 275, 267, 1822, 513, 1032, 267, 855, 1310, 9878, 1055, 20251, 1719, 934, 29471, 676, 1010, 11937, 646, 729, 2451, 609, 1152, 6550, 476, 4335, 513, 1032, 269, 10906, 14332, 523, 729, 7074, 585, 1200, 27610, 6492, 693, 14332, 523, 781, 7040, 855, 1352, 729, 2141, 2110, 540, 2724, 543, 1200, 11909, 1225, 13935, 267, 1454, 25343, 267, 941, 1500, 856, 540, 524, 832, 564, 1570, 799, 513, 3659, 538, 513, 1951, 704, 344, 4558, 1185, 1577, 1200, 723, 593, 519, 10464, 269, 634, 2777, 729, 865, 4411, 602, 519, 6469, 5234, 1031, 1404, 1688, 4252, 538, 519, 10689, 547, 3636, 2933, 909, 269, 769, 606, 1557, 585, 519, 9721, 5339, 12139, 634, 13852, 267, 1352, 5206, 281, 834, 2005, 568, 267, 594, 1589, 267, 547, 519, 5491, 540, 2462, 2777, 1004, 602, 789, 10703, 4705, 741, 9620, 609, 971, 1875, 577, 531, 766, 543, 585, 865, 1279, 4797, 547, 12235, 827, 1018, 1705, 711, 2731, 2179, 547, 1454, 2597, 269, 898, 568, 547, 741, 5491, 602, 267, 609, 6371, 3592, 909, 547, 741, 9885, 543, 15991, 513, 3670, 335, 775, 547, 2490, 936, 267, 789, 4797, 547, 581, 759, 5034, 676, 519, 1964, 540, 8581, 607, 1373, 519, 2295, 1652, 3638, 8487, 5472, 519, 8075, 941, 16171, 269, 2290, 540, 631, 14709, 3223, 2033, 781, 1034, 8949, 782, 16272, 547, 519, 28306, 540, 2197, 27440, 2713, 568, 1200, 6609, 538, 29547, 570, 728, 540, 15248, 23770, 781, 12129, 21339, 267, 538, 799, 1352, 18202, 1524, 1200, 10659, 607, 2484, 607, 519, 1283, 540, 1200, 524, 832, 564, 630, 3602, 267, 1100, 8969, 267, 519, 15144, 569, 3366, 613, 4646, 513, 4990, 540, 2038, 24090, 3630, 1070, 1354, 1373, 19034, 883, 10543, 10571, 269, 631, 14709, 9887, 729, 9141, 547, 1820, 676, 513, 991, 547, 32433, 1200, 8486, 3814, 10571, 27108, 269, 2701, 5156, 602, 1200, 11078, 781, 1272, 1185, 1044, 8297, 1441, 1317, 1200, 3993, 2366, 1200, 1055, 547, 1200, 1101, 7544, 538, 834, 320, 4990, 540, 17281, 10571, 2668, 966, 14489, 9410, 6170, 782, 1200, 15271, 3843, 547, 1832, 909, 17664, 5600, 267, 543, 12756, 22750, 10290, 7166, 9887, 12394, 547, 948, 4557, 1218, 945, 941, 9601, 540, 519, 26380, 563, 1103, 19220, 540, 27465, 267, 972, 568, 1100, 6065, 1154, 519, 18399, 538, 891, 5830, 540, 741, 6197, 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 ]
[ 1223, 1404, 856, 1862, 789, 2219, 602, 1934, 649, 723, 513, 2344, 609, 1079, 3160, 6105, 1496, 29552, 275, 543, 25789, 307, 3910, 865, 789, 941, 15069, 19451, 1496, 331, 2795, 338, 4940, 1924, 1862, 789, 1522, 723, 1185, 1932, 1390, 6788, 827, 1018, 789, 1223, 1205, 856, 540, 621, 1862, 1358, 723, 849, 4957, 741, 10182, 1360, 1454, 543, 1831, 1454, 811, 791, 2454, 267, 543, 899, 2348, 741, 1378, 16786, 543, 1818, 7569, 543, 1862, 1616, 811, 538, 824, 2081, 269, 769, 513, 1259, 602, 568, 1862, 12041, 281, 4415, 17587, 9012, 1862, 286, 303, 6974, 518, 281, 8133, 267, 4010, 267, 609, 519, 5137, 540, 17587, 9012, 269, 1358, 1862, 616, 899, 1862, 513, 2604, 1895, 602, 779, 3833, 1862, 9811, 1862, 9375, 6053, 8969, 995, 267, 594, 1589, 267, 865, 689, 519, 824, 2427, 267, 689, 7641, 779, 1448, 540, 2070, 267, 789, 2461, 1360, 10669, 1506, 256, 263, 11328, 1613, 476, 278, 4728, 476, 1001, 275, 267, 2278, 779, 8144, 1916, 1607, 1646, 568, 782, 519, 811, 4277, 538, 1769, 540, 519, 5717, 827, 519, 9165, 540, 1199, 9332, 5314, 269, 634, 16795, 1847, 4724, 2810, 519, 3621, 2146, 543, 519, 17587, 7690, 779, 3310, 936, 519, 8613, 13739, 338, 568, 14669, 547, 513, 4214, 540, 1199, 9332, 5314, 602, 3746, 2478, 2923, 779, 16795, 543, 2810, 3310, 936, 5238, 269, 1280, 1383, 267, 853, 580, 670, 21186, 10542, 630, 1001, 274, 281, 476, 1724, 267, 24495, 923, 538, 3312, 264, 3096, 519, 2165, 1199, 9332, 5314, 547, 1915, 1047, 968, 320, 2783, 610, 5123, 538, 519, 2949, 1646, 540, 2486, 543, 2528, 538, 799, 519, 2923, 11851, 513, 3226, 8789, 3310, 593, 824, 1514, 5238, 6100, 670, 21186, 10542, 13187, 602, 1199, 9332, 5314, 666, 581, 2938, 607, 513, 24845, 1184, 538, 799, 519, 2923, 267, 593, 835, 1688, 267, 5051, 1020, 883, 606, 4830, 9872, 609, 922, 1378, 7954, 547, 799, 824, 5238, 991, 547, 3082, 269, 2201, 519, 824, 1688, 267, 519, 2923, 723, 2919, 883, 606, 7533, 851, 540, 824, 5238, 267, 971, 607, 6214, 267, 960, 267, 1920, 543, 4984, 267, 607, 811, 543, 811, 540, 891, 5238, 685, 2238, 616, 5532, 547, 1312, 7317, 543, 2757, 2923, 630, 295, 21186, 10542, 476, 1001, 274, 1040, 901, 568, 711, 519, 2013, 267, 2705, 267, 609, 519, 17587, 14465, 21103, 1282, 519, 11567, 1974, 540, 519, 4571, 268, 3192, 271, 338, 547, 2221, 269, 5502, 267, 519, 3310, 540, 8613, 593, 519, 17587, 14465, 21103, 13739, 338, 18604, 563, 1607, 1281, 711, 1611, 602, 1199, 9332, 5314, 814, 711, 4299, 519, 17587, 14465, 21103, 693, 782, 269, 3689, 267, 519, 17587, 14465, 21103, 814, 1044, 13739, 2094, 476, 4198, 280, 543, 568, 1631, 513, 7123, 12146, 538, 519, 8613, 8430, 282, 3976, 267, 621, 849, 568, 7471, 883, 519, 5420, 269, 5822, 267, 972, 814, 1044, 930, 9542, 547, 519, 2923, 269, 853, 580, 10548, 601, 267, 585, 1383, 267, 8815, 547, 1896, 2242, 538, 519, 7333, 21103, 547, 1118, 621, 811, 968, 974, 7697, 7888, 6100, 1280, 3236, 267, 1142, 8366, 16771, 779, 10343, 4633, 729, 27571, 547, 1614, 3764, 630, 14503, 6737, 1299, 14811, 4565, 611, 476, 1220, 271, 1916, 32701, 267, 621, 568, 11495, 602, 519, 17587, 7690, 267, 538, 519, 2250, 2185, 5756, 267, 814, 711, 1044, 4299, 676, 1199, 9332, 5314, 538, 519, 1259, 602, 824, 9988, 971, 607, 6214, 267, 723, 267, 855, 814, 2864, 9395, 2989, 922, 17945, 593, 519, 3898, 269, 1703, 616, 1896, 2009, 3137, 585, 713, 269, 3689, 267, 519, 17587, 15356, 6216, 568, 865, 2178, 543, 814, 971, 1164, 4567, 602, 519, 17587, 7690, 814, 519, 2804, 267, 2797, 543, 2686, 1379, 2838, 547, 5706, 519, 2923, 779, 17282, 269, 5822, 267, 519, 17587, 7690, 779, 2923, 4640, 814, 1044, 540, 1390, 2956, 267, 2469, 593, 519, 25213, 998, 519, 5137, 540, 17587, 9012, 269, 12059, 267, 519, 2078, 1063, 2923, 543, 519, 2257, 2146, 814, 5129, 513, 2462, 1909, 269, 715, 601, 7219, 630, 1960, 276, 264, 814, 7074, 602, 6111, 568, 1164, 593, 3744, 685, 8638, 540, 875, 789, 1616, 741, 1382, 28078, 282, 789, 1616, 2442, 2213, 8747, 540, 2257, 547, 16196, 5013, 5132, 2685, 269, 9717, 602, 713, 6999, 814, 711, 1044, 1558, 267, 972, 568, 1390, 27421, 538, 519, 3621, 2146, 4724, 519, 2923, 269, 901, 27421, 543, 31464, 1145, 814, 2813, 1447, 31032, 18396, 10869, 954, 341, 773, 933, 525, 267, 7551, 2870, 2257, 20859, 945, 616, 26526, 1219, 22460, 543, 4608, 15560, 950, 5967, 532, 3744, 269, 715, 601, 7219, 630, 1960, 276, 264, 849, 6811, 602, 2257, 20859, 616, 8185, 8200, 593, 519, 2257, 2146, 267, 3972, 532, 26906, 3744, 547, 6655, 1483, 5013, 1510, 15819, 4376, 519, 3744, 2709, 269, 901, 568, 711, 9670, 267, 6236, 602, 3621, 2035, 616, 10355, 3769, 538, 519, 6101, 2069, 540, 20859, 269, 715, 601, 7219, 630, 1960, 276, 264, 814, 11130, 602, 519, 804, 4923, 612, 540, 2257, 543, 19761, 814, 3812, 513, 7301, 6041, 540, 2257, 267, 835, 602, 5337, 2803, 519, 10462, 543, 22584, 7915, 538, 3621, 5013, 269, 769, 2110, 267, 519, 2923, 616, 8200, 593, 519, 2257, 2146, 811, 982, 824, 5238, 267, 799, 1797, 713, 2146, 666, 267, 811, 982, 824, 5238, 267, 27774, 519, 2175, 540, 9316, 267, 607, 4667, 547, 581, 519, 2013, 609, 13739, 338, 540, 519, 17587, 14465, 21103, 267, 1282, 799, 2565, 267, 2182, 3620, 9231, 2055, 616, 10355, 4280, 563, 1607, 1281, 711, 1611, 602, 2257, 568, 2760, 20402, 538, 519, 2923, 269, 3163, 20859, 2307, 1271, 2055, 827, 3621, 9021, 267, 12477, 267, 19237, 543, 519, 1514, 14422, 602, 1827, 1382, 1790, 32123, 3664, 269, 570, 5014, 8015, 891, 6848, 9988, 616, 17149, 267, 543, 519, 5826, 540, 891, 3604, 568, 2556, 952, 1142, 1858, 568, 547, 11886, 922, 2189, 1514, 1909, 630, 301, 601, 7219, 476, 1960, 276, 1070, 2705, 267, 713, 568, 711, 267, 547, 513, 1804, 6708, 267, 2944, 1282, 519, 17587, 14465, 21103, 13739, 267, 799, 2488, 513, 4272, 2218, 543, 4608, 15560, 5133, 267, 5916, 609, 19278, 2609, 602, 19467, 883, 835, 11769, 269, 26681, 519, 5513, 2373, 602, 519, 2257, 2146, 27229, 6499, 267, 6862, 519, 9913, 602, 13588, 616, 10924, 547, 1616, 267, 10114, 999, 3972, 538, 519, 2923, 779, 3329, 894, 6811, 267, 610, 3972, 538, 3621, 8699, 543, 29591, 563, 289, 528, 3832, 2741, 267, 25599, 661, 269, 1299, 715, 1408, 11420, 267, 26701, 1014, 670, 269, 630, 1001, 275, 1040, 5398, 9534, 538, 3163, 281, 19737, 519, 11565, 5800, 12859, 267, 6032, 269, 476, 6812, 1700, 7597, 538, 645, 1075, 14024, 267, 7136, 574, 10730, 1299, 570, 3402, 267, 20574, 630, 2644, 4700, 30296, 18361, 540, 5398, 9442, 540, 3163, 543, 5303, 630, 273, 526, 1196, 12175, 2806, 532, 18484, 267, 7621, 517, 281, 30296, 563, 289, 712, 23135, 340, 267, 24839, 630, 1960, 274, 1040, 634, 12197, 540, 8836, 13870, 281, 10749, 593, 3203, 543, 9085, 269, 11062, 281, 2717, 640, 563, 289, 1075, 14024, 267, 7136, 574, 10730, 630, 1960, 279, 1040, 3163, 543, 519, 9012, 281, 20010, 13705, 525, 538, 11660, 9442, 269, 5507, 281, 30296, 563, 22512, 344, 267, 6276, 654, 269, 630, 1960, 273, 1040, 18058, 607, 9177, 281, 10749, 593, 9012, 543, 5980, 269, 1715, 3840, 1299, 5507, 281, 30296, 563, 27745, 787, 267, 19162, 630, 1220, 274, 1040, 9012, 681, 3770, 338, 281, 589, 11879, 13979, 269, 1715, 3840, 1299, 5507, 281, 30296, 563, 27745, 787, 267, 19162, 1299, 5062, 10111, 20321, 267, 17555, 630, 1220, 275, 1040, 9012, 22129, 281, 9255, 267, 17361, 543, 9177, 538, 513, 9012, 6520, 269, 5507, 281, 30296, 563, 291, 18885, 267, 12253, 1299, 15576, 345, 267, 18379, 16852, 630, 1960, 273, 1040, 9012, 15638, 281, 634, 16340, 26511, 540, 3778, 269, 11062, 267, 12590, 267, 5507, 281, 12370, 2160, 4964, 563, 291, 684, 6229, 344, 267, 1744, 16336, 630, 1001, 275, 1040, 3163, 4750, 1143, 281, 18370, 11072, 538, 519, 7913, 6520, 267, 6032, 269, 476, 2767, 1700, 4375, 538, 645, 1075, 14024, 267, 7136, 574, 10730, 1299, 570, 3402, 267, 20574, 630, 2644, 4700, 30296, 18361, 540, 5398, 9442, 540, 3163, 543, 5303, 630, 273, 526, 1196, 12175, 2806, 532, 18484, 267, 7621, 517, 281, 30296, 563, 292, 330, 1598, 7238, 332, 267, 1656, 619, 630, 539, 4700, 630, 1220, 275, 1040, 9324, 31443, 320, 17022, 839, 330, 777, 523, 1496, 763, 31443, 2257, 4940, 7439, 320, 281, 715, 5984, 1684, 343, 320, 563, 292, 686, 802, 5459, 267, 717, 18365, 541, 630, 1001, 277, 264, 7377, 592, 7564, 337, 23439, 839, 330, 777, 1496, 28082, 2257, 4940, 594, 2817, 1890, 9383, 25660, 514, 269, 12232, 693, 281, 8940, 269, 928, 269, 572, 4318, 345, 2889, 15383, 269, 889, 3052, 340, 269, 572, 270, 6269, 16435, 4711, 591, 330, 270, 1890, 9383, 641, 2664, 15828, 18033, 978, 9706, 641, 592, 7564, 337, 23439, 839, 330, 777, 1496, 16966, 539, 476, 2767, 5181, 267, 476, 1001, 279, 14073, 293, 15505, 2006, 267, 8738, 2023, 630, 1220, 271, 1040, 634, 17587, 15356, 281, 589, 3778, 540, 2637, 3780, 267, 2552, 7337, 344, 543, 2776, 560, 15607, 269, 1715, 3840, 281, 20211, 1228, 563, 14503, 6737, 267, 623, 1177, 601, 1299, 14811, 4565, 611, 267, 21208, 20393, 630, 1220, 271, 1040, 12321, 1409, 652, 523, 1496, 763, 17587, 16101, 7333, 638, 8291, 4940, 14351, 27048, 281, 2398, 1143, 320, 563, 294, 534, 28856, 267, 670, 4068, 12858, 630, 1001, 276, 1040, 634, 17587, 18270, 640, 4149, 2615, 626, 281, 2637, 3780, 543, 22226, 269, 18270, 640, 5525, 267, 476, 278, 263, 273, 2567, 476, 272, 1700, 1428, 563, 294, 534, 28856, 267, 670, 4068, 12858, 630, 1001, 278, 1040, 634, 10610, 540, 519, 10348, 543, 519, 15356, 540, 3163, 269, 12339, 21442, 9012, 5525, 267, 476, 1704, 630, 277, 2567, 476, 272, 1700, 1428, 563, 294, 2001, 267, 22189, 630, 1001, 271, 1040, 8058, 22307, 9484, 541, 2299, 281, 8871, 657, 267, 1975, 11798, 619, 267, 543, 4033, 9012, 3474, 622, 868, 338, 269, 1715, 3840, 1299, 5507, 281, 1715, 3840, 2160, 4964, 563, 294, 537, 27267, 267, 14639, 5174, 2194, 626, 324, 630, 1001, 279, 1040, 3245, 1621, 3042, 18299, 523, 547, 700, 821, 15552, 281, 17587, 15356, 19846, 919, 593, 3703, 27657, 267, 476, 3422, 273, 1700, 1220, 275, 269, 5398, 4197, 540, 3163, 267, 476, 2767, 263, 275, 2567, 476, 4510, 277, 1700, 3393, 278, 563, 294, 2958, 800, 267, 13191, 1299, 16019, 267, 19378, 630, 1220, 271, 1040, 3163, 538, 5398, 281, 9442, 267, 9177, 267, 543, 28946, 2225, 269, 11062, 267, 7136, 281, 3131, 22040, 14539, 563, 295, 21186, 10542, 267, 853, 580, 630, 1220, 279, 1040, 634, 2405, 9332, 1436, 540, 5980, 281, 589, 7869, 540, 9012, 607, 3397, 757, 540, 4317, 543, 8836, 7827, 269, 29735, 558, 5623, 476, 3066, 263, 273, 2567, 476, 10755, 1700, 16328, 563, 295, 21186, 10542, 267, 853, 580, 630, 1001, 274, 1040, 634, 2405, 9332, 1436, 540, 9177, 543, 5980, 269, 5507, 1299, 1715, 3840, 281, 30296, 563, 295, 528, 560, 267, 20727, 320, 1299, 5096, 625, 267, 8861, 681, 269, 630, 1001, 277, 1040, 3163, 9442, 281, 9177, 267, 14740, 543, 22893, 1222, 269, 645, 2084, 560, 5803, 281, 6022, 6588, 557, 5839, 17524, 534, 563, 297, 28427, 267, 6424, 681, 1421, 20999, 661, 1188, 331, 1495, 267, 4432, 12578, 1299, 12493, 267, 14732, 661, 269, 630, 1001, 275, 1040, 15881, 2510, 540, 3163, 269, 4934, 18943, 538, 4432, 924, 12745, 338, 540, 14288, 3163, 269, 3163, 9442, 267, 476, 3607, 263, 272, 2567, 476, 10037, 1700, 10755, 563, 297, 24944, 267, 16653, 630, 1220, 273, 1040, 5940, 8012, 22952, 281, 15356, 2871, 903, 269, 2657, 6796, 4750, 267, 476, 12208, 263, 6872, 280, 273, 2567, 476, 2918, 1700, 2767, 563, 298, 7564, 961, 560, 8681, 267, 29775, 822, 630, 1001, 273, 1040, 29274, 329, 839, 535, 2449, 5866, 269, 17587, 1440, 529, 564, 1775, 2046, 523, 476, 6245, 278, 1700, 4489, 272, 1496, 763, 4395, 540, 519, 30407, 269, 634, 17587, 15356, 538, 519, 2046, 476, 6245, 278, 1700, 4489, 272, 4940, 14351, 27048, 281, 14161, 1087, 976, 563, 299, 655, 17745, 267, 21960, 326, 527, 3279, 630, 1960, 280, 1040, 12321, 1409, 652, 523, 1107, 535, 3480, 553, 7908, 1107, 679, 588, 832, 331, 10402, 513, 330, 611, 655, 7416, 7908, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14826, 5073, 825, 585, 4737, 538, 1319, 10961, 318, 1718, 912, 1038, 1193, 22674, 4379, 815, 1412, 7055, 1038, 585, 6241, 538, 4737, 912, 2018, 952, 6241, 2999, 476, 271, 912, 3546, 1193, 22674, 4379, 6834, 1412, 4939, 338, 567, 1412, 4939, 6241, 454, 2018, 3116, 912, 3546, 1193, 22674, 4379, 6834, 1412, 476, 4939, 338, 567, 1412, 4939, 6241, 454, 1038, 1820, 19304, 22674, 4379, 9239, 258, 300, 340, 652, 571, 1319, 10961, 27089, 1965, 704, 5964, 454, 3698, 1034, 32057, 318, 3901, 10961, 26371, 528, 318, 525, 704, 5964, 263, 3901, 10961, 318, 525, 335, 2187, 825, 1820, 28361, 333, 14826, 12385, 10961, 4406, 528, 10507, 704, 5964, 14826, 5073, 825, 585, 4737, 538, 1319, 10961, 318, 525, 335, 912, 1038, 1193, 22674, 4379, 815, 1412, 7055, 1038, 585, 6241, 538, 4737, 912, 2018, 952, 6241, 2999, 476, 271, 912, 3546, 1193, 22674, 4379, 6834, 1412, 4939, 338, 567, 1412, 4939, 6241, 454, 2018, 3116, 912, 3546, 1193, 22674, 4379, 6834, 1412, 476, 4939, 338, 567, 1412, 4939, 6241, 454, 1038, 1820, 19304, 22674, 4379, 9239, 258, 5681, 320, 1714, 27089, 1965, 704, 5964, 632, 547, 6767, 3288, 1319, 10961, 454, 3698, 2040, 320, 26371, 528, 318, 525, 704, 5964, 263, 1998, 528, 318, 525, 704, 5964, 267, 2698, 26371, 528, 318, 525, 704, 5964, 2187, 825, 585, 4737, 538, 27089, 318, 525, 704, 5964, 912, 1038, 1293, 16229, 815, 476, 271, 454, 1038, 585, 6241, 538, 4737, 912, 2018, 2698, 26371, 528, 318, 525, 704, 5964, 314, 12248, 16229, 316, 6834, 6241, 454, 2018, 1293, 16229, 6834, 476, 272, 454, 825, 1820, 28361, 333, 14826, 13707, 27089, 10507, 704, 5964, 281, 30386, 825, 1820, 6025, 4973, 26371, 528, 318, 525, 704, 5964, 994, 825, 2301, 320, 26371, 528, 318, 525, 704, 5964, 6025, 4973, 26371, 528, 318, 525, 704, 5964, 9239, 3698, 2301, 320, 26371, 528, 318, 525, 704, 5964, 263, 1998, 528, 318, 525, 704, 5964, 2187, 825, 3706, 24982, 26371, 528, 815, 476, 271, 454, 825, 6006, 815, 476, 271, 454, 825, 1293, 14067, 1442, 815, 476, 271, 454, 825, 585, 27089, 538, 27089, 318, 525, 704, 5964, 912, 1038, 952, 27089, 13843, 3706, 24982, 26371, 528, 912, 2018, 3706, 24982, 26371, 528, 815, 27089, 454, 2018, 6006, 815, 1293, 14067, 1442, 454, 1038, 1293, 14067, 1442, 6834, 476, 272, 454, 825, 1820, 19629, 333, 14976, 4406, 528, 1965, 704, 5964, 1965, 281, 4939, 338, 586, 1714, 6006, 1965, 1714, 4939, 338, 1422, 333, 257, 4939, 630, 738, 24982, 26371, 528, 267, 6006, 264, 9239, 258, 3747, 320, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 258, 2625, 8494, 21059, 815, 1496, 271, 269, 272, 267, 476, 271, 269, 272, 267, 476, 271, 269, 273, 267, 476, 271, 269, 274, 267, 476, 271, 269, 273, 267, 476, 271, 269, 272, 2639, 258, 6006, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 258, 5887, 320, 815, 476, 1789, 454, 258, 1942, 334, 815, 476, 736, 454, 258, 5887, 320, 5091, 652, 18556, 3385, 815, 476, 271, 692, 258, 3747, 320, 815, 1496, 1911, 271, 267, 476, 5611, 271, 267, 476, 10204, 271, 267, 476, 5002, 271, 2639, 258, 2625, 8494, 21059, 815, 1496, 271, 269, 273, 267, 476, 271, 269, 275, 267, 476, 271, 269, 274, 267, 476, 271, 269, 272, 2639, 258, 6006, 815, 1496, 1911, 271, 267, 476, 5611, 271, 267, 476, 10204, 271, 267, 476, 5002, 271, 2639, 258, 5887, 320, 815, 476, 280, 454, 258, 1942, 334, 815, 476, 277, 454, 258, 5887, 320, 5091, 652, 18556, 3385, 815, 476, 276, 692, 12047, 7701, 815, 1496, 271, 267, 476, 12010, 267, 476, 6344, 271, 267, 476, 13975, 271, 267, 476, 18231, 271, 267, 476, 17168, 271, 2639, 22238, 8494, 21059, 815, 1496, 271, 269, 271, 267, 476, 271, 269, 1704, 267, 476, 271, 269, 4375, 267, 476, 271, 269, 3066, 267, 476, 271, 269, 1428, 267, 476, 271, 269, 271, 2639, 18450, 815, 1496, 271, 267, 476, 12010, 267, 476, 6344, 271, 267, 476, 13975, 271, 267, 476, 18231, 271, 267, 476, 17168, 271, 2639, 1203, 320, 815, 476, 1428, 454, 322, 739, 334, 815, 476, 1321, 454, 1203, 320, 5091, 652, 18556, 3385, 815, 476, 1015, 692, 3901, 10961, 10734, 523, 1030, 545, 1470, 5560, 655, 7701, 267, 2625, 8494, 21059, 267, 6006, 267, 5887, 320, 267, 1942, 334, 267, 5887, 320, 5091, 652, 18556, 3385, 2020, 258, 3474, 320, 1073, 1084, 518, 1714, 27089, 632, 3288, 3501, 320, 1217, 30685, 694, 547, 2742, 17485, 1130, 2803, 3097, 258, 25241, 2297, 632, 3288, 1319, 10961, 18689, 1470, 267, 3818, 2364, 5964, 11188, 647, 2625, 8494, 21059, 454, 258, 586, 1964, 5964, 598, 1714, 27089, 1965, 704, 5964, 632, 3288, 1319, 10961, 18689, 542, 267, 570, 29081, 1965, 334, 632, 828, 17144, 1583, 28075, 783, 620, 1267, 5964, 454, 258, 1965, 704, 5964, 632, 3288, 1319, 10961, 632, 829, 323, 5866, 454, 258, 552, 329, 6374, 334, 454, 258, 476, 4968, 271, 263, 271, 267, 273, 11924, 14596, 271, 263, 271, 267, 275, 11924, 27944, 271, 263, 271, 267, 274, 11924, 31816, 271, 263, 271, 267, 272, 9984, 32455, 271, 815, 476, 18231, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 273, 28660, 454, 258, 623, 5357, 2752, 2910, 16704, 2562, 2969, 2464, 269, 3097, 258, 32530, 3582, 910, 12164, 309, 12224, 5990, 674, 5357, 299, 8582, 5058, 19766, 4041, 311, 2098, 5442, 15674, 594, 4811, 623, 5357, 2752, 2910, 16704, 2562, 2969, 2464, 7531, 258, 769, 314, 274, 28660, 454, 5814, 524, 4118, 454, 345, 815, 1950, 9272, 15405, 2745, 263, 11274, 18750, 4917, 2745, 6262, 4118, 19657, 848, 18750, 264, 9239, 258, 769, 314, 275, 28660, 454, 258, 293, 18853, 4888, 294, 4041, 631, 6195, 7531, 258, 769, 314, 276, 28660, 454, 5814, 2979, 454, 5723, 815, 703, 9272, 15405, 6195, 815, 703, 9272, 15405, 16059, 815, 2979, 6155, 1122, 4181, 263, 4118, 269, 27979, 263, 5723, 270, 6195, 4917, 2745, 263, 1037, 263, 16059, 264, 9239, 258, 769, 314, 277, 28660, 454, 258, 1820, 519, 5493, 573, 4435, 3097, 258, 476, 272, 454, 258, 476, 13199, 454, 258, 476, 11277, 2641, 454, 258, 476, 11277, 28242, 272, 454, 258, 1210, 1152, 1079, 3515, 540, 3009, 7531, 258, 769, 314, 280, 28660, 454, 1721, 1775, 538, 2039, 263, 272, 267, 842, 9272, 3890, 11924, 272, 2187, 825, 1820, 263, 1037, 9230, 263, 1015, 1262, 328, 268, 272, 8358, 280, 264, 1262, 273, 264, 9239, 258, 769, 314, 1015, 28660, 454, 258, 26827, 667, 4353, 300, 7495, 7531, 258, 769, 314, 1321, 28660, 454, 320, 815, 703, 9272, 15405, 321, 815, 703, 9272, 15405, 2745, 5416, 2260, 321, 994, 2745, 5416, 260, 321, 994, 2745, 5560, 643, 7116, 5416, 14720, 264, 9239, 258, 769, 314, 1724, 28660, 454, 258, 1379, 910, 1110, 5295, 7531, 258, 769, 314, 1691, 28660, 454, 320, 815, 703, 9272, 15405, 321, 815, 703, 9272, 15405, 332, 815, 703, 9272, 15405, 2745, 9638, 578, 5416, 14720, 4917, 2745, 9638, 578, 5416, 14720, 31599, 264, 9239, 258, 769, 314, 1428, 28660, 454, 258, 9981, 2501, 538, 782, 7306, 7531, 258, 769, 314, 1626, 28660, 454, 320, 815, 703, 9272, 15405, 321, 815, 703, 9272, 15405, 322, 815, 703, 9272, 15405, 323, 815, 703, 9272, 15405, 2745, 5416, 1262, 321, 25239, 1262, 323, 9239, 258, 769, 314, 1704, 28660, 454, 258, 1820, 513, 5493, 573, 4435, 454, 258, 476, 272, 454, 258, 476, 2420, 454, 258, 476, 18357, 454, 258, 476, 29900, 275, 454, 258, 10371, 2483, 692, 258, 769, 314, 1240, 28660, 454, 1721, 1775, 538, 2039, 263, 272, 267, 842, 9272, 3890, 15892, 825, 1820, 263, 1037, 263, 1015, 1262, 328, 2260, 280, 12684, 328, 9239, 258, 769, 314, 9948, 1384, 7531, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 19523, 692, 329, 6072, 815, 19523, 27769, 341, 314, 272, 2639, 343, 6447, 815, 19523, 27769, 341, 314, 273, 6540, 3698, 8237, 343, 6447, 30415, 2187, 453, 339, 787, 912, 453, 453, 32002, 267, 7407, 815, 5569, 21858, 2891, 285, 2580, 272, 994, 453, 453, 2181, 25722, 698, 267, 14006, 815, 11090, 21858, 3488, 257, 5073, 453, 453, 7407, 267, 14006, 815, 1871, 269, 3464, 5902, 2891, 283, 2580, 272, 994, 453, 16596, 630, 32002, 267, 7407, 994, 453, 21955, 912, 453, 13537, 5569, 454, 453, 16596, 630, 3269, 2437, 15419, 5976, 1930, 3287, 6447, 264, 607, 1775, 327, 912, 453, 514, 335, 684, 325, 2830, 1229, 815, 1496, 332, 14714, 8692, 3890, 585, 544, 538, 1775, 327, 18667, 6050, 3890, 6540, 514, 335, 815, 11713, 6783, 815, 8771, 454, 1721, 1899, 538, 538, 335, 684, 325, 2830, 1229, 912, 14851, 5044, 912, 453, 14851, 1899, 269, 11034, 1873, 603, 2891, 9572, 11415, 268, 6783, 285, 257, 2187, 4848, 453, 6783, 25716, 454, 453, 453, 11666, 826, 454, 14851, 1899, 269, 11034, 1873, 603, 2891, 283, 11415, 268, 6783, 257, 2187, 453, 453, 6783, 18989, 454, 453, 453, 11666, 826, 454, 453, 514, 335, 6910, 263, 1467, 2020, 2745, 834, 293, 2830, 1229, 14307, 6352, 263, 514, 335, 684, 325, 2830, 1229, 1070, 257, 883, 14307, 6352, 263, 514, 335, 2020, 11907, 815, 1496, 20889, 343, 6447, 10857, 264, 585, 561, 538, 538, 335, 314, 273, 18737, 272, 316, 6540, 1245, 6352, 815, 7003, 16597, 994, 2745, 7003, 16597, 2020, 3698, 12990, 263, 10915, 2187, 453, 29514, 1239, 454, 453, 337, 1998, 815, 1201, 454, 22610, 512, 1575, 538, 1239, 912, 453, 453, 4486, 267, 7407, 815, 512, 1575, 454, 453, 14851, 1883, 2525, 10915, 912, 4848, 453, 337, 1998, 815, 1871, 454, 4848, 453, 11907, 31927, 6025, 1575, 994, 4848, 453, 19874, 454, 28432, 912, 453, 13537, 834, 4462, 3901, 3481, 256, 2580, 10915, 454, 453, 16596, 7183, 454, 16596, 678, 1998, 692, 3698, 1121, 6135, 2169, 263, 1467, 2187, 14851, 834, 6135, 2169, 257, 538, 1899, 912, 453, 453, 4752, 3553, 815, 1899, 26098, 2891, 6135, 2169, 5602, 453, 453, 4752, 3553, 273, 815, 1899, 26098, 2891, 305, 269, 11415, 23528, 453, 14851, 15558, 273, 2999, 15558, 912, 4848, 16596, 1899, 454, 453, 453, 754, 815, 1899, 26098, 2891, 264, 2580, 4752, 3553, 273, 994, 453, 453, 16386, 1439, 3436, 15558, 273, 454, 453, 453, 516, 31419, 3667, 815, 12990, 263, 1467, 314, 4752, 3553, 273, 266, 280, 281, 754, 7481, 453, 14851, 8719, 3667, 912, 4848, 453, 1467, 815, 1899, 11468, 4752, 3553, 27994, 257, 3667, 7268, 3269, 266, 516, 31419, 3667, 266, 257, 315, 8442, 257, 266, 1467, 314, 754, 266, 272, 281, 2639, 16596, 1899, 692, 3698, 1121, 11415, 263, 1467, 2187, 453, 4752, 3553, 815, 1899, 26098, 2891, 305, 269, 11415, 23528, 453, 334, 273, 815, 15558, 266, 280, 454, 453, 6112, 630, 1467, 314, 334, 273, 316, 13843, 834, 288, 257, 543, 1899, 314, 334, 273, 316, 10922, 834, 313, 8442, 610, 630, 1467, 314, 334, 273, 316, 13843, 834, 320, 257, 543, 1899, 314, 334, 273, 316, 10922, 834, 345, 8442, 610, 630, 1467, 314, 334, 273, 316, 13843, 834, 271, 257, 543, 1899, 314, 334, 273, 316, 10922, 834, 280, 257, 2187, 453, 453, 334, 273, 23785, 272, 454, 453, 14851, 630, 334, 273, 2525, 6352, 263, 1467, 15892, 4848, 453, 19874, 454, 453, 516, 31419, 3667, 815, 12990, 263, 1467, 314, 4752, 3553, 266, 280, 281, 334, 273, 7481, 14851, 8719, 3667, 912, 453, 453, 1467, 815, 1899, 11468, 4752, 3553, 316, 22065, 257, 262, 266, 516, 31419, 3667, 22065, 257, 262, 266, 1467, 314, 334, 273, 281, 2639, 16596, 1899, 692, 5976, 1930, 27203, 6072, 264, 607, 1775, 327, 912, 453, 329, 822, 2967, 327, 815, 1775, 327, 18667, 6050, 10797, 5976, 1930, 27203, 6072, 2437, 342, 8442, 607, 19315, 912, 22610, 1899, 538, 795, 822, 2967, 327, 912, 453, 453, 6112, 834, 6135, 2169, 257, 538, 1899, 912, 4848, 453, 1245, 1467, 815, 1899, 454, 4848, 453, 1467, 815, 1121, 6135, 2169, 263, 1467, 994, 4848, 14851, 1899, 2525, 1245, 1467, 912, 15235, 453, 19874, 454, 453, 453, 6112, 834, 305, 269, 11415, 1701, 538, 1899, 912, 4848, 453, 1245, 1467, 815, 1899, 454, 4848, 453, 1467, 815, 1121, 11415, 263, 1467, 994, 4848, 14851, 1899, 2525, 1245, 1467, 912, 15235, 453, 19874, 454, 453, 453, 2129, 22182, 263, 1467, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1433, 15109, 519, 2591, 540, 2679, 9568, 6043, 538, 3162, 5607, 1107, 513, 3148, 602, 4749, 2833, 930, 540, 519, 1034, 4049, 543, 14042, 5222, 540, 12469, 563, 8601, 1713, 960, 547, 4217, 4299, 2950, 267, 1082, 4130, 3162, 7489, 2477, 2611, 3226, 7925, 538, 2474, 540, 5807, 9568, 6043, 269, 14301, 593, 1806, 689, 16273, 267, 13225, 27175, 267, 5689, 323, 1161, 267, 18310, 543, 16444, 20092, 267, 519, 1433, 3091, 3638, 4030, 543, 6386, 593, 9568, 6043, 3609, 543, 2259, 269, 898, 15109, 519, 7399, 585, 14027, 2146, 6043, 543, 4390, 2679, 998, 606, 3408, 540, 1114, 3344, 540, 10350, 543, 3609, 269, 9717, 519, 4763, 540, 891, 2477, 543, 2487, 12469, 267, 513, 3099, 540, 5380, 616, 2808, 281, 12250, 543, 3609, 10850, 267, 1981, 2359, 10350, 267, 6051, 4238, 267, 2679, 9479, 267, 543, 3609, 543, 2923, 11407, 269, 634, 1433, 3091, 513, 7104, 1620, 540, 2259, 267, 799, 666, 2709, 2518, 4245, 547, 513, 1158, 5051, 14850, 564, 676, 12469, 543, 609, 7334, 2825, 20304, 563, 1607, 1433, 786, 581, 513, 3407, 4199, 585, 5640, 267, 9439, 543, 1053, 538, 519, 4610, 540, 9568, 1981, 5786, 543, 2359, 267, 2916, 1689, 9542, 267, 1857, 3609, 543, 4264, 1646, 563, 20288, 5320, 282, 476, 272, 269, 4985, 281, 570, 871, 1782, 519, 13095, 1091, 538, 519, 4427, 4211, 2632, 514, 1581, 674, 2590, 525, 281, 28155, 26504, 538, 519, 9540, 518, 18831, 540, 3162, 5607, 282, 476, 273, 269, 1323, 6196, 7435, 281, 18043, 28155, 11485, 22159, 2382, 6627, 17563, 538, 16273, 282, 476, 274, 269, 594, 1097, 24627, 281, 11154, 532, 547, 519, 5222, 540, 3794, 18432, 8235, 4934, 10767, 560, 24627, 338, 538, 13225, 27175, 282, 476, 275, 269, 853, 11691, 2279, 5979, 520, 281, 28155, 6051, 538, 519, 2916, 1689, 6253, 805, 2989, 693, 565, 3149, 540, 519, 5689, 323, 1161, 282, 476, 276, 269, 14329, 540, 774, 3518, 281, 19662, 543, 7496, 547, 10220, 540, 2679, 9479, 585, 9568, 6043, 538, 18310, 282, 476, 277, 269, 13368, 532, 10055, 1464, 281, 8889, 6388, 1739, 17160, 543, 26949, 1938, 538, 16444, 20092, 282, 476, 278, 269, 10390, 281, 6206, 9270, 585, 9568, 6043, 538, 519, 4130, 2477, 540, 3162, 5607, 282, 12039, 0, 763, 30078, 10046, 5794, 10724, 454, 10144, 543, 8330, 8676, 454, 22349, 8676, 568, 513, 2068, 602, 5540, 519, 2095, 540, 2011, 998, 519, 19357, 658, 13740, 547, 1831, 9395, 2989, 267, 723, 6553, 610, 723, 838, 553, 916, 269, 10705, 2053, 519, 6553, 3123, 23472, 267, 765, 22689, 610, 9221, 9395, 1145, 269, 8330, 8676, 5540, 1004, 540, 782, 6502, 267, 2429, 741, 2729, 269, 1703, 616, 827, 476, 1691, 2929, 4079, 609, 10447, 538, 519, 2136, 2276, 267, 543, 476, 277, 2929, 1453, 538, 519, 2136, 2276, 609, 621, 269, 10251, 267, 972, 568, 1100, 10826, 585, 10447, 267, 855, 972, 616, 1896, 2081, 547, 4383, 543, 1852, 621, 563, 8248, 752, 10046, 5794, 26682, 454, 288, 8445, 2095, 11281, 610, 8445, 2095, 2011, 3684, 568, 513, 1507, 3926, 602, 6645, 519, 3593, 875, 1134, 2011, 568, 13576, 538, 543, 856, 540, 519, 9641, 269, 898, 568, 5631, 1031, 585, 1004, 945, 723, 10447, 543, 666, 1397, 950, 4191, 540, 10447, 543, 606, 4323, 616, 4947, 269, 898, 568, 606, 1271, 1907, 538, 606, 4230, 327, 15122, 781, 1272, 563, 310, 904, 547, 6513, 8330, 8676, 4635, 30078, 10046, 5794, 26682, 454, 8794, 513, 8445, 2095, 2011, 3684, 568, 606, 1271, 851, 540, 5883, 10447, 543, 519, 4191, 540, 621, 269, 4658, 609, 10447, 1058, 2638, 741, 2157, 5781, 547, 5265, 917, 875, 547, 1852, 621, 269, 1879, 1210, 513, 8445, 2095, 11281, 267, 621, 568, 1271, 547, 946, 621, 519, 1482, 1142, 942, 621, 568, 1031, 547, 1205, 519, 1034, 4977, 13220, 269, 898, 568, 849, 1655, 547, 946, 621, 693, 519, 1482, 942, 1142, 1554, 269, 1635, 1210, 513, 8445, 2095, 11281, 543, 5329, 513, 4760, 585, 10447, 543, 2589, 267, 621, 666, 948, 2594, 1114, 12153, 540, 2589, 543, 6285, 269, 898, 1131, 581, 5363, 547, 2594, 971, 1919, 607, 519, 4266, 267, 519, 11281, 781, 13220, 543, 824, 1808, 1344, 827, 1018, 729, 11402, 1282, 519, 1554, 269, 898, 949, 581, 3730, 547, 2594, 4025, 602, 941, 10272, 267, 1344, 827, 519, 4365, 267, 971, 607, 14947, 1293, 630, 604, 602, 568, 513, 2123, 9594, 264, 543, 2837, 563, 2005, 849, 2337, 547, 946, 513, 8445, 2095, 2011, 3684, 950, 912, 268, 12580, 540, 10447, 2014, 519, 3411, 19907, 547, 12687, 909, 1282, 519, 3781, 563, 268, 16842, 18476, 2589, 2049, 1282, 519, 1554, 563, 268, 590, 1157, 267, 609, 519, 4411, 610, 2770, 269, 2334, 568, 950, 519, 2589, 540, 10447, 666, 2731, 27506, 909, 269, 6884, 2348, 513, 4411, 666, 3142, 593, 606, 10447, 4323, 1317, 519, 1560, 568, 18604, 563, 1432, 519, 3367, 902, 14419, 454, 3528, 3257, 2834, 4255, 543, 10916, 519, 13220, 621, 786, 948, 547, 1397, 513, 1297, 540, 1919, 269, 898, 2337, 3313, 875, 4049, 519, 10447, 2589, 941, 585, 519, 1554, 267, 952, 5574, 723, 1044, 2500, 267, 5431, 4191, 543, 2589, 607, 789, 616, 8108, 610, 1256, 1354, 519, 5250, 540, 873, 543, 1034, 11932, 267, 952, 7525, 2564, 3007, 568, 2877, 563, 18893, 2711, 10644, 543, 5004, 454, 8248, 752, 2095, 2011, 6191, 616, 519, 1655, 2645, 547, 946, 547, 4383, 543, 2061, 10447, 4191, 543, 2589, 269, 1452, 5363, 6191, 19610, 609, 2834, 3635, 543, 9319, 4025, 602, 949, 9594, 2942, 5540, 616, 519, 1655, 2081, 547, 3970, 519, 12136, 543, 2179, 540, 6285, 269, 17796, 281, 5291, 2517, 4178, 6230, 599, 665, 4802, 545, 2593, 270, 8234, 270, 553, 628, 2742, 270, 3008, 1822, 2420, 5291, 2517, 4178, 269, 19986, 30113, 2593, 270, 553, 628, 2742, 270, 7666, 728, 270, 553, 628, 2742, 3146, 331, 3971, 286, 2457, 284, 272, 5291, 2517, 4178, 269, 19986, 30113, 2593, 270, 553, 628, 2742, 270, 7666, 728, 270, 701, 752, 32704, 2173, 2678, 454, 20124, 15894, 281, 1651, 9092, 20189, 2089, 773, 0, 4415, 741, 695, 20810, 532, 10253, 543, 5347, 267, 5714, 5322, 267, 15315, 666, 581, 1360, 4190, 547, 4585, 689, 7192, 541, 269, 634, 20279, 1858, 568, 18822, 2614, 547, 723, 1896, 2249, 540, 891, 4190, 20641, 267, 543, 1373, 5432, 609, 519, 1455, 9006, 10535, 8677, 666, 948, 596, 3251, 2922, 269, 1403, 596, 616, 14126, 827, 15315, 593, 707, 10821, 610, 5010, 3959, 267, 13812, 2473, 12243, 540, 20279, 568, 1934, 547, 948, 256, 1284, 2709, 13131, 8851, 2533, 602, 616, 1480, 324, 543, 10097, 267, 4758, 596, 519, 4708, 540, 2247, 596, 991, 547, 1964, 21407, 707, 3959, 568, 2922, 269, 11910, 476, 27005, 268, 4391, 278, 268, 5780, 273, 273, 2221, 585, 606, 13393, 2336, 32575, 15315, 666, 581, 16602, 8259, 596, 917, 1018, 547, 1413, 585, 269, 769, 2221, 779, 2022, 267, 649, 3580, 3382, 513, 1906, 540, 519, 811, 1455, 9006, 10535, 15315, 547, 519, 20279, 1858, 543, 1683, 513, 6609, 540, 1018, 789, 1413, 899, 269, 3367, 593, 547, 1451, 811, 2336, 19177, 10469, 10535, 10965, 1389, 5871, 547, 20279, 454, 310, 3480, 12877, 326, 3240, 681, 25114, 333, 820, 630, 306, 626, 337, 32203, 2113, 328, 23581, 1792, 14982, 328, 994, 9827, 1634, 607, 519, 16140, 681, 3430, 2401, 267, 519, 5375, 12877, 326, 3240, 568, 835, 540, 519, 10545, 678, 25114, 333, 1389, 538, 519, 2136, 2276, 269, 2060, 513, 2960, 5500, 2766, 543, 6960, 880, 3766, 2001, 1560, 267, 713, 13131, 2934, 4158, 6960, 9634, 593, 922, 1394, 543, 5011, 609, 513, 12457, 17987, 269, 3509, 540, 891, 15315, 849, 723, 513, 15309, 344, 11954, 4174, 701, 593, 922, 1394, 543, 3109, 26145, 602, 5086, 689, 741, 4064, 547, 519, 1394, 7944, 540, 741, 28182, 269, 1358, 616, 1454, 4130, 982, 741, 5375, 27339, 3724, 681, 25114, 333, 1389, 267, 543, 950, 4628, 6738, 267, 891, 16921, 2268, 9170, 689, 476, 1428, 547, 476, 736, 6279, 1279, 563, 306, 4822, 21019, 3650, 630, 13070, 330, 626, 16967, 517, 733, 677, 3700, 733, 677, 3700, 994, 7212, 5594, 3476, 693, 476, 2420, 547, 476, 3607, 6279, 267, 519, 8828, 21019, 3650, 568, 1776, 1507, 13131, 602, 2505, 757, 519, 20279, 1858, 269, 901, 13131, 3335, 814, 5835, 267, 3032, 6438, 4064, 543, 741, 4703, 616, 1769, 6960, 538, 2681, 267, 1419, 609, 513, 11909, 880, 512, 842, 547, 873, 269, 2290, 540, 519, 1034, 11495, 4162, 540, 713, 13131, 568, 519, 20367, 3444, 7171, 4806, 593, 741, 11315, 10253, 269, 634, 4806, 2934, 1769, 6960, 610, 12457, 543, 4158, 6960, 610, 26070, 29744, 5662, 6921, 817, 5546, 563, 307, 1410, 553, 4856, 531, 31315, 630, 31466, 337, 32203, 3505, 341, 3780, 4557, 699, 994, 4415, 922, 7524, 2681, 4806, 267, 519, 7147, 4856, 531, 13131, 568, 676, 2484, 519, 1034, 2681, 9006, 10535, 13131, 602, 568, 2199, 547, 20279, 269, 10871, 7264, 786, 581, 2111, 547, 3362, 10646, 713, 13131, 689, 1866, 1317, 540, 922, 20367, 2647, 3109, 543, 2699, 14034, 609, 6094, 5835, 14034, 602, 3382, 922, 3003, 1560, 269, 898, 568, 849, 1634, 4857, 676, 922, 4625, 3109, 2212, 269, 1879, 4079, 267, 891, 15315, 616, 2356, 1447, 982, 476, 2190, 6279, 1279, 563, 310, 3480, 29158, 17625, 630, 13070, 330, 626, 16967, 517, 533, 4593, 643, 11501, 682, 1075, 739, 5448, 994, 19284, 519, 824, 1614, 2249, 649, 723, 4330, 267, 519, 5375, 29158, 17625, 568, 1034, 3362, 4857, 676, 922, 3668, 540, 23243, 4336, 4778, 543, 3270, 269, 1452, 15315, 616, 588, 719, 543, 2647, 1532, 617, 1221, 543, 2356, 1332, 547, 581, 9170, 689, 476, 1789, 547, 476, 5655, 6279, 1279, 269, 1358, 616, 4158, 12457, 880, 6960, 538, 2681, 543, 950, 789, 616, 18901, 267, 789, 786, 1930, 741, 5023, 538, 8878, 269, 634, 3330, 540, 741, 5023, 568, 6505, 3043, 899, 10412, 267, 23831, 547, 741, 3860, 2012, 563, 295, 537, 8725, 31315, 31203, 28968, 454, 4407, 789, 616, 4190, 267, 891, 15315, 616, 782, 5906, 267, 6721, 513, 29086, 602, 666, 2014, 1713, 5160, 3441, 543, 2669, 269, 1403, 596, 5544, 835, 540, 891, 15315, 593, 707, 20279, 3959, 267, 621, 568, 1271, 547, 3346, 938, 2319, 1318, 2476, 585, 2922, 13131, 8851, 2533, 269, 3776, 3662, 882, 6327, 12665, 723, 519, 2866, 543, 1907, 2877, 547, 9108, 7001, 9006, 10535, 15315, 543, 1480, 324, 569, 882, 11229, 873, 11992, 269, 13555, 721, 2221, 547, 1451, 811, 827, 938, 13131, 8851, 543, 29212, 2533, 256, 0, 291, 611, 20130, 333, 3570, 267, 513, 6390, 281, 667, 611, 20130, 333, 5953, 3534, 267, 667, 611, 6062, 1606, 333, 3570, 282, 476, 274, 9502, 4433, 994, 291, 611, 20130, 333, 3570, 1797, 1945, 538, 18420, 267, 16130, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 303, 584, 3570, 543, 898, 8811, 14505, 630, 788, 545, 1686, 994, 291, 611, 20130, 333, 5953, 3534, 630, 2633, 355, 2633, 356, 18028, 372, 11695, 357, 14098, 357, 264, 4016, 547, 519, 968, 576, 516, 3000, 658, 705, 331, 1081, 609, 1225, 323, 5608, 607, 5018, 538, 519, 15662, 504, 643, 777, 584, 5953, 22170, 320, 476, 272, 269, 736, 1247, 7713, 519, 7154, 540, 26902, 6235, 606, 552, 691, 1156, 943, 28351, 3239, 630, 335, 5953, 337, 628, 10216, 2000, 328, 9719, 483, 8615, 264, 2687, 547, 519, 966, 14037, 32537, 281, 1765, 2108, 314, 1862, 316, 519, 30060, 705, 331, 1081, 609, 5144, 630, 335, 28569, 264, 4927, 581, 5340, 609, 519, 16051, 571, 2048, 303, 11535, 30910, 623, 9719, 505, 628, 643, 344, 5953, 332, 685, 3092, 269, 634, 30060, 705, 331, 1081, 609, 1225, 323, 630, 323, 611, 20130, 333, 5953, 3534, 264, 4927, 581, 5340, 609, 519, 16051, 571, 2048, 291, 611, 6062, 918, 337, 5953, 341, 22170, 320, 30910, 685, 3092, 1848, 269, 13126, 281, 21287, 3820, 281, 590, 10216, 8830, 3570, 910, 2296, 22564, 454, 763, 8830, 3570, 630, 2633, 359, 27758, 18892, 14098, 352, 267, 1625, 5953, 22170, 553, 264, 4016, 547, 16130, 3332, 8497, 3504, 3127, 779, 5318, 2686, 1686, 267, 1519, 3140, 17691, 267, 3909, 18428, 267, 1585, 6575, 543, 9443, 269, 634, 29933, 30652, 777, 584, 11446, 2698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 6812, 13790, 547, 476, 27628, 273, 13790, 12877, 668, 2678, 26712, 476, 2004, 281, 272, 267, 15239, 4211, 2632, 716, 5606, 14518, 4400, 18323, 25511, 609, 7982, 2775, 18044, 2775, 267, 16655, 3065, 270, 14737, 3065, 30166, 864, 18323, 1325, 1301, 269, 5457, 267, 519, 4130, 519, 3077, 267, 519, 6251, 596, 1058, 581, 547, 621, 269, 634, 20098, 1120, 8692, 666, 2268, 9072, 693, 513, 3677, 6482, 1858, 3379, 547, 922, 6735, 693, 513, 3845, 547, 5544, 5223, 540, 476, 1626, 281, 272, 269, 4107, 1655, 18342, 26282, 723, 513, 1455, 2039, 855, 581, 2386, 547, 2638, 519, 16551, 538, 2013, 596, 616, 3168, 547, 2268, 5393, 3905, 610, 5393, 4411, 3688, 269, 5194, 1448, 547, 2015, 1131, 581, 519, 3845, 547, 5544, 5223, 269, 634, 12242, 8955, 8591, 8856, 547, 707, 7403, 269, 898, 1797, 596, 666, 946, 621, 547, 2268, 519, 2837, 540, 513, 2039, 540, 10820, 971, 607, 1426, 267, 1216, 12992, 267, 543, 14910, 269, 1677, 1205, 519, 2164, 2560, 898, 568, 2523, 3730, 607, 621, 2488, 8216, 2164, 267, 1818, 519, 3375, 1818, 1184, 7525, 269, 1879, 596, 1413, 693, 519, 1394, 540, 519, 26282, 267, 596, 8910, 1265, 1614, 824, 16181, 269, 4270, 267, 596, 1810, 1406, 991, 547, 798, 602, 1317, 661, 974, 330, 322, 640, 476, 6507, 275, 18342, 26282, 2636, 596, 547, 6460, 519, 13220, 689, 17622, 547, 18278, 543, 18278, 547, 17622, 609, 1175, 513, 2582, 7735, 269, 12877, 668, 2678, 5288, 3352, 26282, 910, 14216, 570, 8008, 6363, 2948, 527, 796, 572, 17243, 4414, 752, 5406, 269, 901, 2501, 538, 13561, 2523, 538, 519, 1426, 2872, 267, 855, 666, 849, 723, 824, 3156, 607, 1134, 269, 634, 10081, 9505, 1055, 543, 1970, 6007, 13525, 2636, 519, 3593, 547, 18359, 1648, 543, 849, 3217, 4977, 13220, 269, 12603, 3048, 520, 1508, 267, 4827, 756, 6352, 700, 7238, 15711, 2102, 737, 7238, 25699, 523, 606, 796, 1562, 577, 1221, 28727, 4614, 1160, 8240, 572, 3768, 884, 345, 1408, 548, 1323, 342, 754, 684, 2102, 606, 613, 335, 553, 560, 530, 518, 6577, 269, 898, 781, 1744, 1442, 268, 27893, 630, 1721, 12772, 909, 547, 476, 274, 332, 264, 570, 2507, 1809, 649, 4769, 1406, 3068, 1022, 1966, 950, 649, 1031, 621, 896, 891, 6381, 269, 634, 1394, 26569, 700, 7374, 2636, 3152, 31824, 543, 519, 5687, 18852, 3193, 26553, 21669, 2071, 2837, 3252, 1450, 596, 547, 9793, 607, 829, 707, 4170, 543, 3800, 5612, 1169, 942, 269, 6787, 596, 616, 4470, 593, 621, 585, 1426, 3106, 267, 5986, 610, 1753, 6454, 3785, 267, 519, 2037, 7224, 19868, 545, 568, 513, 4096, 762, 6718, 269, 9669, 269, 1280, 519, 18919, 7644, 570, 9818, 271, 2675, 8143, 9196, 8254, 267, 585, 3236, 267, 18919, 7644, 711, 1152, 3091, 519, 3044, 476, 2764, 4113, 7828, 267, 855, 849, 513, 476, 1321, 4113, 7658, 874, 9369, 7828, 269, 476, 1704, 269, 589, 476, 280, 309, 6007, 568, 849, 3769, 538, 713, 10189, 269, 634, 12071, 651, 538, 513, 26282, 3501, 585, 1875, 4186, 716, 7252, 543, 666, 581, 1031, 547, 2268, 7344, 267, 5122, 267, 25256, 267, 2964, 545, 543, 16669, 1949, 269, 634, 8273, 519, 5223, 267, 519, 3152, 519, 3845, 596, 666, 2268, 621, 689, 552, 3052, 269, 634, 1344, 4607, 666, 581, 1031, 1318, 2476, 7868, 1655, 851, 827, 1210, 891, 3457, 568, 602, 789, 1810, 1406, 991, 547, 5905, 519, 2627, 540, 519, 1843, 602, 568, 6027, 269, 630, 933, 723, 849, 2854, 513, 2440, 1127, 633, 3391, 827, 519, 9096, 543, 536, 2784, 17970, 619, 15426, 2201, 519, 1394, 540, 519, 26282, 267, 596, 8910, 1265, 519, 1964, 540, 519, 16181, 269, 1215, 1131, 621, 1745, 952, 519, 26282, 11074, 2324, 1813, 547, 519, 1970, 6007, 1510, 1022, 9963, 4191, 286, 1656, 952, 596, 1376, 3001, 519, 26282, 547, 1776, 2627, 1247, 8066, 519, 9594, 267, 596, 8910, 1294, 519, 2837, 4657, 593, 519, 10896, 4159, 269, 6271, 1826, 2882, 606, 18342, 5687, 665, 537, 921, 799, 568, 513, 1970, 1942, 18342, 9300, 269, 5590, 707, 4558, 547, 1294, 2199, 8244, 5410, 547, 14295, 269, 898, 568, 4061, 1360, 1271, 547, 1832, 606, 3750, 593, 519, 5544, 2450, 543, 1118, 2386, 602, 596, 1796, 2673, 2614, 547, 3382, 519, 3003, 5544, 2450, 609, 519, 3077, 267, 23295, 1256, 513, 3787, 6251, 547, 1711, 513, 3106, 14345, 269, 4635, 835, 8143, 9196, 8254, 4061, 14687, 547, 5215, 540, 5544, 7510, 668, 2678, 7403, 269, 634, 5544, 7510, 668, 2678, 568, 849, 1634, 607, 2837, 7784, 610, 18342, 26282, 269, 1879, 1210, 713, 3926, 267, 519, 3593, 2115, 547, 2015, 513, 1906, 3877, 269, 1358, 2268, 519, 2837, 540, 5393, 3905, 3615, 1759, 593, 519, 2681, 540, 519, 7298, 1769, 789, 12520, 269, 1358, 3112, 2268, 519, 4835, 2837, 540, 1426, 543, 824, 3688, 269, 1879, 713, 23988, 568, 4767, 519, 4542, 547, 3313, 519, 5544, 2450, 5223, 666, 581, 9862, 547, 1491, 883, 2272, 519, 3815, 540, 1483, 25852, 269, 634, 476, 273, 1032, 15549, 344, 676, 661, 974, 330, 322, 640, 3947, 519, 7082, 15792, 942, 547, 4603, 609, 519, 3926, 543, 1294, 2436, 621, 779, 513, 26656, 6718, 610, 711, 269, 1411, 4465, 1406, 723, 547, 3180, 519, 4050, 538, 835, 1688, 543, 519, 26282, 538, 519, 824, 1317, 519, 26282, 6585, 519, 2837, 13220, 585, 596, 2899, 596, 4076, 2451, 519, 9594, 269, 9406, 896, 519, 10896, 4159, 267, 596, 8910, 1265, 476, 274, 16181, 602, 616, 1031, 547, 7500, 1114, 3252, 540, 519, 26282, 269, 1325, 956, 2144, 6577, 330, 997, 515, 729, 513, 1276, 708, 1067, 5918, 849, 914, 516, 742, 754, 12877, 668, 2678, 5288, 3352, 26282, 2144, 325, 15786, 544, 7238, 577, 11687, 267, 20146, 327, 560, 5918, 581, 328, 5667, 910, 620, 338, 513, 1276, 5884, 1024, 879, 652, 523, 12877, 668, 2678, 5288, 3352, 26282, 18873, 269, 26365, 12514, 2705, 267, 723, 1896, 5383, 3379, 547, 5544, 7510, 668, 4394, 269, 3689, 540, 782, 267, 519, 9594, 666, 581, 1031, 547, 19334, 519, 3926, 269, 634, 476, 10482, 271, 20098, 1120, 8692, 814, 8955, 8325, 6111, 1100, 2339, 1018, 519, 3845, 543, 621, 666, 2268, 5210, 8151, 689, 14263, 476, 6812, 18278, 547, 476, 9083, 273, 18278, 1510, 2479, 15700, 519, 2627, 269, 9747, 267, 519, 3926, 786, 711, 1224, 519, 1843, 779, 2837, 1152, 855, 513, 7848, 540, 519, 5210, 540, 519, 1843, 543, 922, 10450, 269, 634, 18342, 7510, 668, 2678, 32307, 513, 2699, 1769, 593, 547, 513, 1507, 5544, 593, 519, 2627, 602, 2115, 547, 581, 6027, 269, 1924, 267, 952, 596, 2461, 8348, 547, 2268, 519, 2837, 540, 606, 1843, 689, 1114, 2127, 267, 621, 666, 581, 606, 6909, 4781, 585, 596, 269, 2060, 922, 4977, 2832, 1813, 547, 922, 476, 1321, 15956, 27934, 267, 713, 26282, 666, 9376, 538, 1022, 1858, 540, 519, 2627, 693, 513, 3845, 547, 5544, 5223, 540, 476, 1321, 281, 272, 269, 661, 3052, 269, 476, 279, 260, 19420, 517, 4294, 693, 2560, 634, 700, 7374, 4159, 568, 1804, 543, 2312, 3379, 547, 824, 5687, 18852, 267, 543, 666, 1683, 513, 7298, 4159, 1256, 538, 4158, 5054, 269, 4935, 267, 596, 4465, 1406, 723, 547, 2490, 593, 519, 1769, 950, 596, 2461, 10992, 2576, 779, 2837, 693, 3781, 269, 8074, 267, 2705, 602, 5544, 7510, 668, 4394, 849, 723, 519, 1482, 1966, 607, 8143, 9196, 12514, 950, 621, 2501, 547, 25852, 269, 12877, 668, 2678, 1904, 5142, 11483, 700, 307, 269, 30605, 5606, 32057, 582, 6261, 344, 668, 2678, 1904, 5142, 11483, 700, 307, 552, 793, 564, 521, 747, 1200, 341, 528, 4048, 754, 24166, 5884, 31301, 4405, 332, 612, 2426, 538, 737, 548, 514, 523, 3768, 1044, 326, 1084, 772, 332, 613, 321, 684, 2102, 269, 1411, 1522, 581, 3206, 827, 1946, 1131, 594, 6718, 713, 1880, 18342, 8955, 26282, 950, 972, 616, 824, 3681, 2139, 269, 634, 700, 7374, 5496, 2636, 519, 3755, 547, 1224, 519, 5210, 14678, 693, 606, 3328, 3210, 942, 540, 476, 4335, 1984, 1047, 6948, 269, 4475, 267, 649, 4076, 2919, 713, 661, 974, 330, 322, 640, 476, 9818, 271, 291, 5606, 14518, 26457, 10309, 2689, 585, 596, 269, 634, 26282, 568, 2966, 538, 519, 1106, 540, 513, 8955, 7784, 547, 1683, 606, 3665, 1377, 540, 4313, 547, 519, 3593, 269, 9603, 547, 922, 2702, 547, 2268, 971, 5318, 5210, 607, 1134, 607, 922, 3845, 547, 5544, 5223, 540, 476, 1321, 281, 272, 267, 519, 8955, 11237, 2636, 596, 547, 2832, 10502, 693, 519, 5544, 596, 1616, 547, 2268, 269, 1323, 1655, 18342, 26282, 568, 5827, 540, 7893, 18342, 1063, 476, 274, 547, 476, 1691, 8020, 6425, 269, 13013, 5611, 268, 273, 4785, 289, 5395, 773, 7137, 6686, 15590, 2426, 16435, 846, 31301, 520, 2720, 839, 648, 333, 5378, 476, 275, 268, 736, 544, 288, 589, 639, 32184, 808, 4953, 313, 307, 645, 12239, 21822, 2894, 9732, 13013, 21076, 267, 13013, 14681, 267, 13013, 22145, 267, 13013, 3199, 272, 7137, 6686, 15590, 2426, 16435, 846, 31301, 520, 2720, 839, 648, 333, 5378, 476, 275, 268, 736, 544, 288, 589, 639, 32184, 808, 4953, 313, 307, 645, 12239, 21822, 2894, 9732, 13013, 276, 2537, 292, 267, 13013, 276, 2190, 292, 3004, 326, 321, 732, 5606, 32057, 582, 6874, 615, 332, 10309, 24166, 694, 15590, 11876, 515, 18323, 333, 20312, 2560, 901, 17426, 543, 11741, 26282, 2501, 609, 519, 14463, 16538, 865, 596, 949, 711, 723, 547, 5855, 827, 4948, 5957, 543, 15237, 269, 901, 6238, 609, 519, 2837, 6482, 2039, 269, 1306, 3457, 3136, 547, 1205, 5488, 538, 4393, 3432, 267, 2943, 616, 2838, 547, 3514, 883, 4130, 15004, 267, 4466, 2081, 547, 26632, 622, 519, 3002, 543, 2697, 3905, 9634, 568, 513, 1483, 1966, 269, 2201, 270, 19423, 7735, 18359, 1379, 13220, 1256, 538, 4158, 5054, 3002, 538, 519, 4998, 3510, 519, 15810, 1058, 256, 1656, 1394, 2775, 666, 581, 1031, 547, 3132, 5730, 1239, 922, 27726, 3710, 2306, 513, 1862, 30579, 7154, 621, 814, 519, 12588, 547, 1685, 3308, 6476, 1063, 513, 26215, 730, 1769, 2707, 543, 519, 5377, 835, 596, 256, 1411, 1413, 693, 938, 661, 974, 330, 322, 640, 476, 9818, 271, 291, 18342, 26282, 267, 1863, 345, 619, 610, 14023, 2209, 519, 1862, 24778, 539, 5288, 269, 24778, 1652, 8562, 983, 590, 9155, 281, 513, 2656, 11137, 610, 707, 5561, 4465, 11313, 512, 1118, 513, 12161, 607, 2361, 1862, 623, 31242, 5544, 2450, 585, 1022, 2016, 3845, 547, 5544, 5223, 4016, 547, 519, 6007, 269, 2274, 6545, 1369, 519, 2777, 1107, 1256, 1346, 602, 616, 2110, 982, 476, 274, 636, 630, 513, 3738, 4947, 689, 1843, 1862, 1323, 342, 754, 684, 2102, 538, 32489, 655, 31301, 4405, 321, 699, 747, 13153, 910, 2004, 9180, 20312, 476, 9818, 271, 9180, 1303, 19213, 3881, 3768, 737, 7238, 25699, 523, 20312, 476, 3199, 9180, 19315, 928, 1990, 639, 7564, 16379, 997, 515, 918, 6686, 25632, 2426, 552, 532, 525, 28856, 339, 530, 518, 6577, 1317, 256, 2052, 17854, 602, 2322, 519, 19984, 267, 7696, 519, 9075, 267, 2322, 519, 19984, 1394, 267, 543, 1683, 269, 589, 1871, 1759, 593, 519, 15061, 2427, 267, 1317, 540, 922, 5888, 585, 900, 1170, 2032, 256, 634, 31824, 543, 519, 900, 1170, 2032, 3349, 568, 5318, 543, 22566, 540, 513, 5544, 7510, 668, 2678, 1175, 3947, 596, 5191, 1862, 28088, 1079, 2053, 829, 2034, 585, 2799, 6111, 19766, 7473, 2207, 645, 6579, 291, 281, 18342, 26282, 5288, 7510, 668, 2678, 5884, 1655, 523, 13153, 269, 1412, 306, 1744, 1442, 268, 27893, 630, 585, 12772, 909, 547, 476, 4335, 1984, 1047, 6948, 4411, 2011, 20984, 1282, 519, 5162, 2560, 519, 18342, 18342, 26282, 5288, 7510, 668, 2678, 476, 279, 281, 272, 1862, 20537, 476, 274, 636, 585, 32302, 4837, 267, 596, 11313, 546, 1265, 519, 26282, 786, 1832, 7893, 519, 2837, 11397, 256, 634, 1072, 606, 3693, 602, 1500, 621, 4443, 585, 596, 547, 1832, 519, 9594, 666, 581, 17618, 9286, 883, 6688, 256, 590, 785, 554, 665, 5782, 19213, 601, 974, 11576, 648, 333, 267, 5884, 654, 21392, 321, 5338, 684, 2102, 32489, 345, 20415, 24477, 7999, 5687, 18852, 786, 2693, 1942, 936, 476, 1911, 1862, 13242, 621, 896, 891, 6381, 2339, 950, 596, 1413, 693, 519, 1775, 10890, 3143, 2389, 13224, 5983, 3650, 2689, 256, 5901, 7893, 519, 2837, 689, 910, 2004, 9180, 547, 476, 20862, 9180, 630, 910, 6812, 4113, 325, 547, 476, 9083, 273, 13790, 3738, 476, 9083, 276, 291, 267, 713, 26282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29094, 4477, 704, 454, 11039, 602, 568, 10416, 519, 2953, 1505, 1862, 810, 1946, 798, 596, 1589, 596, 616, 4636, 2496, 295, 718, 810, 325, 296, 11803, 454, 29094, 4477, 704, 454, 19013, 267, 4352, 596, 616, 13288, 547, 606, 834, 30976, 1871, 1966, 2580, 596, 2760, 536, 6139, 1042, 547, 2995, 721, 1018, 1346, 3355, 2418, 616, 2439, 302, 334, 3591, 1862, 611, 4765, 873, 1631, 269, 590, 13446, 256, 1809, 7064, 585, 3168, 2439, 295, 718, 810, 325, 296, 11803, 454, 13434, 515, 1188, 596, 9273, 585, 1269, 290, 318, 272, 259, 543, 1269, 290, 318, 273, 10608, 594, 1205, 1269, 290, 318, 272, 284, 28363, 2765, 346, 274, 2410, 275, 4151, 799, 849, 2242, 1269, 290, 318, 273, 10608, 0, 258, 4634, 543, 744, 9536, 5686, 692, 4131, 6695, 333, 315, 2330, 581, 930, 2318, 8870, 269, 1284, 2161, 602, 6695, 333, 315, 2330, 568, 540, 1256, 2186, 952, 519, 6305, 3815, 5314, 540, 6695, 333, 315, 2330, 630, 12248, 532, 5918, 27289, 264, 814, 606, 1256, 1297, 540, 9981, 269, 1280, 1383, 267, 6695, 277, 815, 476, 273, 1422, 9392, 476, 274, 315, 2330, 568, 540, 1256, 2186, 269, 19452, 267, 649, 2161, 6695, 333, 315, 2330, 568, 540, 9642, 2186, 540, 519, 6305, 3815, 5314, 540, 6695, 333, 315, 2330, 814, 606, 9642, 1297, 540, 9981, 267, 971, 607, 6695, 1240, 815, 476, 273, 1422, 9392, 476, 274, 1422, 9392, 476, 274, 315, 21974, 8074, 602, 607, 519, 6305, 3815, 5314, 540, 6695, 272, 315, 2330, 3568, 6695, 271, 315, 2330, 22136, 267, 621, 568, 540, 1256, 2186, 780, 4131, 6695, 292, 3799, 9385, 2330, 581, 519, 1293, 540, 2318, 9981, 540, 1256, 2186, 1447, 982, 610, 3160, 547, 6695, 333, 315, 18079, 543, 6695, 302, 3799, 9385, 2330, 581, 519, 1293, 540, 2318, 9981, 540, 9642, 2186, 1447, 982, 610, 3160, 547, 6695, 333, 315, 21974, 1280, 1383, 267, 585, 6695, 333, 815, 476, 1691, 315, 18079, 649, 723, 692, 1892, 6695, 292, 263, 1691, 264, 815, 476, 277, 315, 2330, 630, 11377, 272, 267, 476, 275, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1691, 315, 2330, 1070, 543, 454, 1892, 6695, 302, 263, 1691, 264, 815, 476, 279, 315, 2330, 630, 11377, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 315, 2330, 2020, 2791, 616, 547, 2328, 513, 1982, 799, 3217, 930, 2318, 8870, 6695, 333, 1422, 613, 476, 272, 315, 2330, 607, 3403, 267, 543, 17016, 519, 1079, 2418, 6695, 292, 3799, 9385, 2330, 543, 6695, 302, 3799, 9385, 21974, 1411, 949, 3403, 543, 3977, 538, 1022, 10375, 1505, 267, 543, 596, 949, 3977, 519, 1079, 17016, 538, 1022, 3898, 602, 9846, 6799, 519, 2418, 630, 324, 3052, 269, 596, 3112, 3977, 835, 538, 796, 776, 543, 1776, 538, 8918, 1070, 543, 602, 5693, 30193, 1063, 519, 1079, 630, 20200, 1227, 267, 814, 930, 2186, 540, 6654, 1642, 574, 3438, 6393, 1607, 568, 513, 4161, 267, 865, 519, 20125, 3009, 538, 25466, 17993, 780, 2162, 4530, 2665, 692, 333, 9847, 1496, 292, 3799, 1070, 744, 3799, 22708, 272, 9847, 1496, 272, 267, 476, 271, 2639, 273, 9847, 1496, 272, 267, 476, 272, 2639, 274, 9847, 1496, 272, 267, 476, 273, 2639, 275, 9847, 1496, 273, 267, 476, 273, 2639, 276, 9847, 1496, 273, 267, 476, 274, 2639, 277, 9847, 1496, 274, 267, 476, 274, 2639, 278, 9847, 1496, 274, 267, 476, 275, 2639, 279, 9847, 1496, 274, 267, 476, 276, 2639, 280, 9847, 1496, 275, 267, 476, 276, 2639, 1015, 9847, 1496, 276, 267, 476, 276, 2639, 1556, 9847, 1496, 276, 267, 476, 277, 2639, 1321, 9847, 1496, 276, 267, 476, 278, 2639, 1724, 9847, 1496, 276, 267, 476, 279, 2639, 1691, 9847, 1496, 277, 267, 476, 279, 2639, 1428, 9847, 1496, 278, 267, 476, 279, 2639, 1626, 9847, 1496, 279, 267, 476, 279, 2639, 1704, 9847, 1496, 279, 267, 476, 280, 2639, 1240, 9847, 1496, 279, 267, 476, 1015, 2639, 866, 9847, 1496, 279, 267, 476, 1556, 2639, 736, 9847, 1496, 279, 267, 476, 1321, 6540, 1892, 27339, 22862, 6960, 773, 2798, 585, 25588, 8276, 10248, 1250, 476, 278, 31632, 808, 11481, 2626, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 272, 281, 1704, 454, 1892, 2558, 14746, 281, 2717, 5984, 28756, 675, 2829, 602, 661, 3799, 264, 10922, 744, 3799, 264, 585, 782, 562, 13843, 476, 273, 269, 901, 28756, 675, 729, 8810, 547, 581, 7301, 267, 609, 519, 10545, 1293, 699, 343, 2217, 1373, 562, 815, 476, 3445, 277, 267, 5611, 267, 27038, 269, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 278, 281, 6246, 454, 1892, 7711, 322, 1515, 323, 8314, 17518, 320, 1695, 532, 2052, 649, 2132, 1152, 835, 1871, 585, 476, 272, 286, 634, 808, 2194, 2626, 1281, 602, 855, 594, 1810, 1405, 1745, 899, 621, 781, 1318, 630, 16838, 1498, 602, 1131, 1118, 1919, 12863, 585, 803, 264, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 1691, 281, 2420, 454, 1892, 7711, 293, 7614, 1125, 3143, 267, 596, 1590, 2132, 513, 476, 272, 543, 513, 476, 271, 269, 1403, 267, 2705, 267, 596, 616, 3977, 1154, 1152, 796, 776, 267, 1287, 3977, 1154, 606, 8900, 5569, 568, 15502, 630, 553, 602, 781, 476, 271, 538, 796, 776, 1070, 855, 6382, 267, 972, 1058, 581, 1079, 2312, 2418, 3977, 269, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 1428, 281, 6021, 454, 1892, 2558, 14746, 593, 519, 31851, 281, 623, 6759, 569, 320, 2760, 28756, 3293, 834, 303, 6759, 569, 320, 781, 28756, 675, 257, 630, 3467, 8308, 1572, 834, 303, 6759, 569, 320, 781, 1966, 8442, 1765, 13318, 1737, 646, 4951, 602, 621, 1131, 17538, 519, 681, 22044, 2335, 29138, 952, 621, 941, 3020, 269, 1290, 7757, 4239, 476, 2420, 267, 476, 1708, 273, 693, 476, 273, 281, 4029, 692, 258, 808, 267, 476, 866, 25466, 692, 8987, 267, 8079, 272, 258, 269, 273, 347, 272, 258, 287, 336, 281, 287, 266, 328, 563, 692, 2521, 621, 2228, 2439, 1892, 476, 272, 1862, 266, 328, 269, 476, 272, 476, 273, 3267, 562, 454, 1892, 1948, 287, 336, 281, 20099, 1948, 540, 6305, 2188, 7117, 281, 540, 1142, 454, 1892, 476, 272, 258, 269, 273, 347, 5681, 540, 1256, 13080, 454, 1892, 11196, 267, 8079, 18452, 14263, 602, 2040, 910, 3032, 1540, 609, 2073, 602, 2040, 476, 6540, 258, 808, 11481, 267, 476, 279, 25466, 692, 305, 383, 484, 292, 31086, 21681, 480, 306, 9719, 482, 17554, 350, 7531, 2521, 621, 2228, 2439, 305, 383, 484, 292, 31086, 21681, 480, 306, 9719, 482, 17554, 350, 454, 305, 1363, 910, 16186, 1496, 272, 267, 3403, 2639, 383, 484, 292, 11434, 910, 1280, 1142, 267, 1205, 513, 1592, 540, 519, 6305, 23055, 454, 31086, 8587, 910, 5681, 1142, 454, 21681, 480, 672, 910, 3525, 25222, 1142, 676, 476, 273, 454, 306, 825, 910, 5681, 454, 9719, 482, 567, 910, 7179, 630, 5976, 513, 911, 4979, 1007, 1467, 994, 17554, 350, 476, 910, 5192, 519, 6207, 3017, 1063, 713, 543, 519, 3403, 630, 10193, 17697, 569, 9102, 2020, 1892, 715, 823, 256, 1411, 666, 1869, 4894, 513, 31632, 555, 334, 2433, 303, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 272, 281, 5379, 692, 258, 24315, 296, 270, 25897, 267, 476, 4029, 25466, 692, 333, 15010, 8999, 9217, 284, 272, 19885, 267, 296, 22677, 15927, 18652, 9217, 264, 260, 273, 264, 9239, 16920, 3319, 901, 6732, 2439, 20479, 338, 513, 1950, 1297, 1141, 519, 1483, 851, 568, 6695, 292, 3799, 9385, 2330, 543, 519, 16494, 851, 568, 6695, 302, 3799, 9385, 29634, 258, 476, 4962, 5723, 272, 292, 267, 476, 279, 476, 278, 25466, 692, 299, 383, 497, 302, 32723, 272, 383, 507, 10634, 7531, 15008, 1384, 268, 272, 31632, 676, 16734, 602, 281, 2179, 540, 6305, 2188, 540, 6695, 343, 315, 2330, 2652, 2040, 263, 10339, 7859, 540, 6695, 343, 315, 2330, 262, 338, 6305, 26458, 2567, 1294, 602, 789, 616, 519, 1482, 1934, 780, 299, 1038, 1948, 32379, 513, 1592, 538, 519, 2039, 1496, 272, 267, 630, 574, 14032, 264, 3403, 2639, 383, 496, 11434, 1948, 5192, 519, 6305, 23055, 540, 1142, 6418, 8870, 454, 302, 8587, 1948, 5681, 1142, 6418, 1592, 1927, 454, 32723, 672, 1948, 6744, 585, 1142, 2040, 2436, 621, 781, 9642, 454, 272, 383, 507, 567, 1948, 32379, 6292, 1496, 271, 267, 272, 2639, 10634, 476, 1948, 4032, 519, 20825, 540, 476, 271, 543, 476, 272, 538, 519, 1592, 454, 258, 630, 12898, 799, 519, 1267, 568, 3977, 17697, 569, 2020, 1892, 570, 1735, 613, 2987, 19295, 2131, 267, 855, 2094, 519, 2243, 12799, 5018, 519, 7872, 540, 796, 776, 3977, 281, 476, 276, 25466, 609, 796, 776, 3977, 540, 4642, 1673, 580, 1080, 585, 661, 3799, 264, 543, 835, 1673, 580, 1080, 585, 744, 3799, 264, 1862, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 1556, 281, 1626, 454, 1892, 7711, 291, 7631, 545, 7079, 10497, 523, 715, 823, 19755, 540, 519, 3652, 269, 2433, 291, 1290, 7757, 4239, 476, 2641, 267, 476, 1708, 273, 693, 476, 1556, 281, 866, 692, 258, 10084, 29441, 630, 2464, 277, 1070, 476, 10170, 25466, 692, 325, 14352, 333, 28083, 17342, 271, 267, 271, 316, 6661, 285, 333, 286, 325, 3799, 268, 272, 28083, 28083, 27007, 326, 284, 318, 27784, 330, 285, 333, 286, 271, 281, 333, 260, 330, 286, 326, 17347, 10030, 2567, 272, 317, 326, 3799, 270, 284, 330, 4297, 263, 330, 284, 273, 13580, 10030, 2567, 320, 7531, 2521, 621, 2228, 2439, 2162, 1290, 7757, 692, 325, 815, 630, 4449, 12262, 535, 568, 513, 25276, 1599, 2921, 912, 333, 267, 4449, 476, 12262, 567, 562, 815, 3403, 454, 320, 815, 1496, 271, 267, 476, 271, 316, 16875, 12262, 567, 513, 26514, 815, 3977, 5044, 454, 264, 18092, 4449, 476, 12262, 454, 333, 7790, 4449, 567, 12262, 952, 562, 568, 711, 3160, 547, 476, 271, 912, 325, 263, 4449, 476, 12262, 567, 798, 513, 25276, 1289, 912, 333, 910, 476, 272, 267, 2018, 12262, 672, 3526, 618, 562, 454, 320, 267, 3546, 12262, 672, 1780, 513, 314, 2639, 320, 314, 3546, 12262, 672, 9337, 513, 314, 14158, 263, 575, 815, 19930, 12262, 11434, 575, 568, 513, 25276, 1599, 454, 318, 18092, 16875, 12262, 11434, 799, 5337, 2803, 922, 9936, 454, 330, 3436, 562, 7790, 11434, 12262, 11434, 952, 737, 568, 3152, 982, 562, 912, 271, 19930, 12262, 1363, 3247, 519, 16571, 542, 454, 281, 17264, 12262, 11434, 3116, 912, 333, 4939, 737, 7790, 672, 12262, 1363, 952, 737, 568, 711, 513, 27708, 540, 562, 912, 326, 17347, 10030, 264, 825, 12262, 19930, 27261, 737, 543, 798, 513, 25276, 1289, 454, 281, 19930, 12262, 1363, 3116, 912, 272, 9745, 11434, 12262, 19930, 538, 3200, 519, 1267, 454, 326, 3799, 1315, 284, 737, 264, 12262, 19930, 7941, 562, 676, 737, 543, 798, 513, 25276, 1289, 454, 7565, 330, 815, 476, 273, 264, 1038, 12262, 11434, 3355, 1289, 547, 575, 267, 4358, 609, 737, 815, 476, 273, 454, 316, 10030, 25639, 12262, 672, 27261, 513, 314, 271, 316, 610, 513, 314, 272, 3910, 4470, 593, 519, 454, 2260, 672, 26027, 540, 519, 1297, 540, 6305, 16975, 540, 562, 454, 264, 4449, 567, 12262, 567, 1439, 540, 25276, 1289, 454, 281, 4449, 672, 12262, 3116, 912, 320, 4449, 567, 12262, 567, 2132, 513, 314, 6540, 454, 258, 2677, 21573, 267, 476, 6200, 476, 9032, 25466, 692, 325, 263, 298, 6661, 4501, 495, 3709, 330, 284, 272, 11892, 298, 7116, 8443, 272, 267, 271, 27994, 4501, 495, 3709, 333, 284, 273, 11892, 330, 8421, 5332, 14116, 7251, 3799, 3867, 576, 559, 263, 8421, 5332, 330, 264, 9574, 330, 4297, 338, 793, 263, 4501, 493, 3709, 320, 284, 274, 11892, 333, 7116, 3799, 28083, 268, 272, 24270, 273, 9239, 20479, 568, 519, 1592, 6695, 314, 292, 3799, 1070, 302, 3799, 13580, 315, 21974, 898, 786, 3111, 593, 3677, 2418, 1813, 547, 13735, 1448, 538, 3147, 340, 20874, 267, 855, 594, 4312, 7318, 2418, 971, 607, 6695, 1911, 271, 315, 2330, 543, 621, 3947, 519, 1318, 3977, 267, 865, 621, 781, 7168, 1454, 513, 1875, 22568, 780, 2521, 898, 2201, 2677, 21573, 2439, 2521, 898, 2201, 2677, 21573, 256, 910, 2776, 1777, 1881, 692, 288, 10156, 4528, 540, 519, 1657, 3009, 20248, 1568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1572, 2528, 5420, 8675, 1260, 796, 30457, 1759, 593, 519, 4351, 2777, 796, 30457, 8675, 11783, 634, 5767, 3377, 543, 24657, 689, 586, 1695, 5622, 3377, 723, 849, 3144, 519, 4807, 781, 4651, 543, 513, 14646, 779, 26933, 543, 6725, 8116, 27445, 3028, 267, 646, 269, 18482, 540, 1863, 6725, 3594, 4367, 968, 325, 1168, 6725, 5867, 666, 6474, 519, 6216, 2679, 3255, 12550, 2825, 2079, 540, 519, 563, 268, 16373, 6725, 1449, 476, 272, 3838, 3039, 6725, 281, 1761, 5561, 543, 606, 2079, 540, 4540, 543, 17191, 2825, 7873, 527, 16394, 568, 1634, 607, 563, 268, 12937, 1770, 1107, 1775, 1826, 6609, 1806, 3743, 1599, 6725, 849, 3322, 7421, 7082, 2115, 267, 17516, 563, 18089, 279, 736, 6187, 513, 2344, 2079, 849, 6087, 519, 607, 789, 616, 1634, 267, 713, 2882, 513, 6609, 540, 32097, 6725, 1570, 607, 1134, 607, 513, 8430, 269, 5682, 2679, 568, 849, 1634, 607, 513, 4264, 610, 1164, 2773, 2679, 972, 616, 513, 1297, 540, 4128, 547, 1628, 3039, 267, 1519, 1761, 2825, 11783, 661, 519, 6609, 540, 513, 2551, 2687, 547, 5697, 4162, 971, 607, 524, 3039, 6725, 546, 2825, 6725, 849, 1634, 607, 21718, 11783, 0, 268, 513, 4704, 547, 513, 6003, 538, 707, 645, 756, 18256, 3758, 8164, 596, 1616, 547, 13712, 606, 6221, 538, 519, 3758, 454, 268, 513, 4704, 547, 519, 15853, 2511, 3758, 596, 1616, 547, 946, 267, 799, 11887, 875, 519, 8100, 596, 13712, 616, 30149, 538, 519, 15853, 540, 707, 3561, 630, 663, 7654, 513, 19000, 2511, 3758, 2404, 609, 519, 15853, 2511, 994, 268, 513, 19000, 4971, 547, 5352, 519, 15853, 693, 519, 1448, 538, 707, 3561, 1141, 596, 1616, 621, 547, 2408, 563, 2080, 568, 606, 1383, 1210, 519, 15853, 2511, 2073, 799, 7472, 14327, 538, 834, 10461, 630, 20204, 17983, 3898, 269, 901, 3758, 568, 2139, 593, 713, 2985, 630, 6518, 814, 5528, 593, 1141, 547, 2322, 519, 3758, 2899, 596, 1205, 621, 1040, 634, 3515, 1644, 547, 645, 756, 18256, 616, 1164, 5554, 1117, 269, 898, 3340, 519, 19000, 2511, 3758, 547, 3132, 14327, 538, 519, 1318, 2511, 538, 519, 1257, 630, 332, 10248, 519, 3898, 540, 519, 8100, 3812, 676, 15426, 1411, 4440, 723, 713, 3758, 2907, 630, 817, 11167, 596, 723, 930, 6388, 540, 1855, 311, 593, 707, 2780, 1040, 1403, 596, 1810, 1405, 267, 596, 666, 1205, 621, 593, 713, 11632, 3198, 2985, 269, 670, 1478, 936, 610, 836, 564, 2169, 547, 1294, 3137, 563, 2691, 596, 2196, 519, 19000, 3758, 998, 19000, 543, 645, 756, 18256, 630, 13318, 15297, 2630, 1070, 596, 3513, 1205, 3977, 585, 519, 1560, 540, 519, 3561, 602, 5654, 10199, 899, 713, 912, 1607, 3561, 14550, 519, 946, 540, 645, 756, 18256, 269, 1411, 949, 1616, 547, 3277, 547, 1488, 992, 1696, 620, 269, 630, 3422, 272, 264, 610, 1325, 760, 7949, 529, 543, 27079, 630, 1960, 275, 264, 610, 631, 2532, 514, 630, 2735, 276, 1040, 2107, 596, 949, 1616, 547, 13712, 513, 1808, 2985, 538, 513, 4704, 267, 899, 713, 281, 1294, 631, 2532, 514, 630, 2735, 276, 267, 533, 269, 476, 1960, 1040, 2107, 5310, 596, 1616, 547, 13712, 811, 982, 835, 1957, 676, 631, 2532, 514, 281, 631, 2532, 514, 630, 2735, 276, 267, 476, 1960, 280, 1040, 2107, 596, 1616, 547, 1118, 513, 2385, 16375, 4704, 547, 835, 610, 811, 4930, 267, 538, 799, 2013, 519, 1422, 322, 924, 5306, 4971, 9631, 1080, 519, 24324, 1472, 519, 1032, 630, 6635, 992, 1696, 620, 269, 476, 3422, 272, 1040, 288, 1906, 811, 3681, 585, 519, 4971, 616, 2139, 269, 3371, 789, 616, 912, 347, 297, 2158, 1696, 620, 269, 630, 1960, 271, 10245, 347, 297, 2158, 267, 22823, 267, 543, 8055, 630, 1960, 271, 10245, 347, 263, 297, 2158, 1696, 620, 269, 476, 1960, 271, 10245, 347, 263, 297, 2158, 267, 22823, 267, 543, 8055, 476, 1960, 271, 10245, 347, 263, 297, 2158, 1696, 620, 1421, 476, 1960, 271, 267, 533, 269, 476, 4200, 10245, 347, 263, 324, 3052, 269, 13643, 1696, 620, 1421, 476, 1960, 271, 10245, 347, 263, 324, 3052, 269, 13643, 1696, 620, 1421, 476, 1960, 271, 267, 533, 269, 476, 4200, 10245, 347, 297, 2158, 1696, 620, 8198, 347, 297, 2158, 267, 22823, 267, 543, 8055, 2008, 347, 265, 1475, 297, 2158, 1696, 620, 9538, 338, 630, 1960, 271, 10245, 265, 10112, 6979, 1422, 322, 924, 777, 657, 568, 3989, 538, 707, 2511, 610, 3561, 899, 713, 281, 263, 12552, 547, 18332, 631, 269, 14480, 1260, 2041, 681, 2801, 585, 15738, 856, 713, 2241, 1259, 540, 10451, 513, 4865, 633, 11239, 8094, 763, 1592, 540, 8100, 786, 1413, 899, 713, 912, 2704, 760, 7949, 529, 267, 4077, 531, 3711, 657, 667, 269, 543, 13690, 595, 269, 27079, 630, 1960, 275, 1070, 5606, 9548, 667, 7645, 5811, 269, 22219, 267, 12670, 563, 6635, 992, 267, 26366, 996, 808, 1421, 15182, 573, 15049, 23495, 345, 267, 543, 670, 10098, 325, 26619, 772, 345, 11867, 630, 3422, 272, 1070, 834, 3519, 14259, 842, 20340, 538, 12366, 1436, 2042, 1701, 25220, 3194, 8298, 2524, 22588, 569, 267, 476, 279, 267, 476, 11260, 1700, 4489, 563, 300, 2532, 514, 267, 18238, 590, 269, 630, 2735, 276, 1070, 834, 763, 3069, 540, 6388, 538, 27850, 11466, 281, 513, 5619, 1701, 769, 4317, 17644, 543, 4317, 9257, 630, 8867, 517, 573, 15049, 23495, 345, 267, 6424, 5576, 1889, 573, 2401, 267, 543, 18018, 334, 12312, 333, 839, 3832, 514, 267, 32308, 13776, 476, 15876, 1700, 14225, 267, 11062, 2160, 4964, 563, 300, 2532, 514, 267, 18238, 590, 269, 630, 1960, 280, 1070, 834, 301, 1662, 11466, 543, 10304, 5688, 1275, 1701, 5623, 540, 9483, 5525, 267, 476, 5780, 267, 476, 2537, 1700, 4343, 563, 7078, 1210, 2080, 568, 606, 1383, 1210, 519, 15853, 2511, 2073, 799, 538, 3769, 538, 1082, 19000, 1949, 563, 2691, 596, 2196, 519, 19000, 3758, 998, 19000, 543, 645, 756, 18256, 630, 13318, 15297, 2630, 1070, 596, 3513, 1205, 3977, 585, 519, 1560, 540, 519, 3561, 602, 15320, 689, 519, 3977, 950, 596, 946, 1152, 538, 602, 519, 4408, 540, 782, 1614, 4589, 540, 1488, 992, 267, 15049, 23495, 345, 267, 543, 772, 345, 11867, 630, 3422, 272, 264, 616, 7396, 538, 519, 1101, 11239, 547, 602, 960, 267, 4352, 711, 538, 519, 2034, 267, 2385, 16375, 267, 11239, 563, 763, 1592, 540, 8100, 15320, 811, 3648, 689, 519, 1592, 3812, 676, 2433, 1152, 4589, 262, 3355, 338, 267, 711, 741, 2407, 1101, 4408, 267, 616, 3769, 267, 543, 834, 261, 257, 2864, 982, 834, 663, 257, 568, 1031, 607, 513, 3021, 1807, 282, 2338, 538, 2985, 9832, 616, 9674, 676, 3834, 2380, 267, 2864, 982, 519, 6671, 679, 1673, 10449, 269, 2776, 322, 1047, 569, 267, 519, 1592, 540, 8100, 3812, 676, 5654, 899, 713, 912, 2704, 760, 7949, 529, 267, 595, 269, 667, 269, 1299, 918, 269, 595, 269, 27079, 630, 1960, 275, 1070, 5606, 9548, 667, 7645, 5811, 269, 12670, 281, 22219, 563, 6635, 992, 267, 918, 269, 808, 1421, 15049, 23495, 345, 267, 700, 1421, 1299, 772, 345, 11867, 267, 670, 269, 630, 3422, 272, 1070, 4790, 571, 842, 20340, 538, 12366, 1436, 2042, 269, 25220, 3194, 8298, 2524, 22588, 569, 267, 476, 279, 267, 476, 11260, 268, 4489, 563, 300, 2532, 514, 267, 661, 269, 590, 269, 630, 2735, 276, 1070, 634, 3069, 540, 6388, 538, 27850, 11466, 281, 513, 5619, 269, 769, 700, 269, 15049, 23495, 345, 267, 667, 269, 5576, 1889, 573, 2401, 267, 1299, 670, 269, 12312, 333, 839, 3832, 514, 630, 32295, 13776, 4317, 17644, 543, 4317, 9257, 630, 335, 269, 476, 15876, 268, 14225, 1040, 11062, 281, 11062, 2160, 4964, 563, 300, 2532, 514, 267, 18238, 590, 269, 630, 1960, 280, 1070, 27850, 11466, 543, 10304, 5688, 1275, 269, 5623, 540, 9483, 5525, 267, 476, 5780, 267, 476, 2537, 268, 4343, 563, 8448, 15853, 6163, 585, 2278, 4458, 14327, 288, 1920, 540, 6163, 602, 3132, 2278, 4458, 14327, 568, 2139, 593, 713, 2985, 563, 17730, 707, 1378, 15853, 2511, 288, 645, 756, 18256, 2511, 3758, 568, 10750, 1257, 267, 799, 538, 6240, 596, 666, 12575, 269, 1717, 267, 519, 1893, 1031, 568, 9095, 2033, 267, 543, 2242, 602, 616, 811, 982, 24735, 616, 16602, 269, 589, 1732, 1259, 547, 8399, 568, 547, 1711, 513, 1007, 2511, 3758, 689, 15072, 267, 1210, 519, 2688, 1532, 756, 10189, 630, 7474, 781, 875, 594, 2813, 15426, 1411, 2196, 1855, 311, 593, 513, 3758, 267, 799, 12134, 596, 513, 1279, 1592, 540, 2055, 827, 519, 2934, 540, 519, 2511, 596, 1131, 899, 269, 1411, 3513, 4440, 711, 581, 4625, 2312, 827, 707, 9053, 4267, 547, 782, 519, 2055, 593, 707, 1101, 3801, 267, 855, 1079, 610, 1614, 8255, 1058, 3132, 513, 3898, 547, 707, 6010, 532, 563, 296, 4952, 1079, 4128, 585, 596, 547, 2307, 713, 2243, 912, 268, 1411, 1152, 723, 9864, 1344, 827, 707, 8100, 9890, 946, 19838, 2958, 781, 1390, 2626, 538, 713, 2013, 563, 268, 1548, 596, 2731, 1616, 568, 875, 547, 4159, 835, 2278, 2012, 1152, 538, 707, 15853, 11305, 2787, 269, 630, 2791, 1934, 3976, 3068, 513, 2473, 270, 312, 1966, 8094, 763, 3070, 2630, 2626, 713, 2034, 2243, 563, 296, 1131, 2303, 596, 547, 1832, 607, 1454, 1344, 607, 2009, 538, 707, 6538, 630, 514, 519, 2680, 602, 596, 1689, 707, 2247, 2663, 610, 538, 1776, 3561, 1916, 2414, 1397, 1152, 835, 2278, 2012, 538, 707, 15853, 267, 596, 666, 946, 2934, 540, 596, 12190, 7240, 10189, 269, 2060, 519, 10189, 2073, 519, 4143, 4781, 568, 4586, 9616, 602, 596, 666, 16174, 1063, 519, 1297, 540, 4589, 7396, 538, 513, 11239, 630, 641, 5406, 16532, 543, 538, 519, 15853, 630, 1040, 634, 4781, 1175, 5036, 1312, 540, 891, 3681, 1927, 563, 2252, 596, 723, 3436, 476, 272, 267, 596, 1522, 1616, 547, 14574, 519, 2887, 3724, 1297, 540, 11855, 4408, 952, 707, 4704, 3568, 811, 982, 4589, 269, 769, 824, 1913, 267, 5581, 912, 2252, 1250, 4704, 814, 1535, 4589, 610, 1447, 267, 1287, 13712, 782, 540, 873, 269, 19227, 267, 13712, 1152, 519, 586, 1101, 4589, 267, 543, 16289, 1412, 564, 620, 23823, 2690, 602, 267, 596, 666, 946, 519, 4781, 912, 11917, 16227, 267, 835, 8263, 1547, 1656, 13974, 267, 596, 666, 5581, 543, 14384, 563, 306, 877, 1383, 609, 454, 753, 26833, 9947, 476, 2537, 1412, 1704, 693, 476, 1240, 281, 6349, 0, 314, 5804, 2372, 580, 6265, 781, 6651, 267, 476, 7277, 272, 2639, 290, 770, 2280, 1144, 267, 606, 857, 1836, 1572, 15570, 1156, 267, 1373, 519, 10160, 540, 2229, 267, 568, 2808, 519, 3854, 540, 519, 6816, 282, 519, 10754, 616, 2834, 543, 2011, 344, 267, 543, 538, 519, 8998, 568, 513, 838, 20160, 1858, 8108, 519, 2344, 268, 2897, 267, 609, 513, 10375, 2344, 27440, 267, 543, 513, 1804, 4055, 936, 621, 267, 3710, 538, 476, 8146, 271, 269, 3414, 519, 4884, 8255, 513, 1507, 5757, 936, 799, 568, 513, 2721, 8822, 585, 3723, 15915, 267, 543, 2362, 909, 513, 8115, 540, 6149, 585, 1286, 17699, 269, 634, 14500, 267, 799, 568, 540, 1390, 4222, 267, 543, 519, 9030, 28183, 538, 519, 6816, 267, 568, 2808, 607, 12946, 513, 11495, 11696, 28917, 547, 519, 16836, 540, 661, 3149, 514, 648, 267, 538, 16862, 269, 898, 729, 25517, 538, 476, 280, 5325, 24682, 2421, 717, 18636, 1042, 267, 519, 2034, 20636, 19036, 538, 19588, 689, 3751, 2107, 787, 269, 30916, 1607, 4266, 729, 1336, 2759, 538, 513, 11237, 540, 18073, 269, 950, 28472, 519, 7532, 13486, 538, 476, 8687, 276, 1040, 634, 16836, 568, 9076, 9771, 267, 609, 4009, 20610, 593, 519, 5011, 267, 519, 4102, 811, 982, 476, 3199, 3952, 1164, 282, 621, 568, 11303, 676, 513, 3138, 11998, 2377, 3430, 1194, 3774, 543, 1064, 572, 267, 543, 29846, 676, 513, 12620, 529, 540, 6149, 267, 1767, 547, 723, 1044, 3773, 676, 9315, 1400, 26728, 8124, 267, 1282, 519, 942, 602, 646, 729, 27369, 547, 11977, 267, 23778, 540, 14216, 2421, 267, 543, 729, 519, 9030, 15335, 540, 602, 1920, 1282, 519, 3540, 10617, 282, 855, 950, 519, 14081, 534, 7952, 267, 896, 16690, 1564, 21960, 577, 543, 14480, 5287, 7615, 267, 609, 4557, 11439, 8043, 267, 22983, 519, 6816, 267, 713, 28183, 729, 1147, 16781, 1229, 693, 519, 1101, 14805, 976, 267, 543, 1498, 15248, 14216, 2421, 729, 3810, 679, 571, 3022, 267, 1200, 24811, 729, 21352, 539, 676, 519, 524, 643, 1006, 543, 28908, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 10659, 540, 3946, 538, 799, 623, 272, 814, 1100, 15731, 568, 595, 263, 4097, 267, 1724, 12684, 290, 263, 2918, 267, 1724, 12684, 290, 263, 1724, 267, 1724, 1040, 25092, 713, 676, 476, 274, 547, 3382, 1948, 540, 3946, 1141, 623, 272, 267, 303, 273, 267, 610, 623, 274, 723, 1100, 15731, 269, 1809, 649, 991, 547, 4188, 585, 5595, 10203, 780, 2171, 991, 547, 10208, 585, 519, 3946, 538, 799, 811, 982, 835, 1688, 723, 1100, 15731, 269, 30052, 789, 666, 1405, 782, 711, 723, 15731, 267, 865, 649, 1413, 693, 7399, 1141, 476, 273, 856, 540, 519, 476, 274, 540, 623, 272, 267, 303, 273, 267, 303, 274, 723, 1100, 15731, 780, 763, 1297, 540, 10659, 1141, 5716, 623, 272, 543, 623, 273, 723, 1100, 15731, 568, 595, 263, 4097, 267, 1724, 12684, 290, 263, 2641, 267, 1724, 12684, 290, 263, 1724, 267, 1724, 1040, 25092, 602, 676, 476, 274, 547, 3382, 782, 10659, 540, 476, 273, 856, 540, 476, 274, 5716, 623, 272, 267, 303, 273, 267, 303, 274, 602, 666, 723, 1100, 15731, 1927, 269, 901, 1267, 2115, 547, 581, 10208, 539, 689, 938, 1267, 689, 1079, 9433, 1657, 547, 1205, 519, 1297, 540, 2189, 10659, 540, 3946, 1141, 693, 2547, 835, 6345, 814, 1100, 15731, 780, 11997, 519, 2626, 568, 1336, 676, 11362, 519, 1297, 540, 10659, 540, 3946, 1141, 693, 2547, 835, 6345, 814, 1100, 15731, 676, 519, 1297, 540, 10659, 540, 2009, 3946, 780, 290, 766, 29818, 543, 9256, 930, 2474, 267, 649, 1205, 13718, 303, 815, 630, 290, 263, 4097, 267, 1724, 12684, 290, 263, 2918, 267, 1724, 264, 910, 595, 263, 4097, 267, 1724, 12684, 290, 263, 2641, 267, 1724, 4297, 265, 274, 1315, 630, 290, 263, 4375, 267, 1724, 12684, 290, 263, 2918, 267, 1724, 4297, 815, 476, 5392, 277, 272, 270, 15704, 8287, 815, 1547, 28656, 0, 258, 4239, 1511, 6512, 692, 297, 2794, 547, 281, 12445, 267, 3406, 692, 2252, 621, 568, 2838, 547, 20272, 513, 2707, 593, 4908, 676, 4908, 4493, 267, 621, 568, 2009, 855, 791, 24411, 543, 942, 10438, 269, 634, 2898, 4908, 2039, 568, 5258, 883, 1305, 540, 12451, 1572, 13164, 269, 3962, 6512, 6227, 513, 1808, 2039, 540, 12451, 269, 1280, 713, 2601, 267, 513, 4336, 540, 12354, 1511, 13164, 543, 835, 21017, 12354, 1511, 13164, 814, 1044, 2919, 269, 589, 4908, 568, 1767, 547, 581, 606, 12354, 1511, 538, 8700, 950, 519, 5580, 6512, 4908, 568, 7466, 519, 2539, 6512, 4908, 269, 589, 835, 21017, 12354, 1511, 6512, 568, 3989, 607, 513, 4908, 6512, 4171, 5580, 6512, 12967, 4908, 630, 325, 273, 264, 568, 519, 2539, 6512, 4908, 630, 325, 272, 264, 2053, 519, 13306, 3597, 540, 1079, 780, 1012, 6726, 566, 692, 2162, 4223, 18350, 692, 3499, 260, 260, 4239, 1511, 645, 1343, 454, 325, 1417, 516, 815, 630, 1015, 269, 271, 317, 274, 264, 2608, 16733, 273, 269, 271, 264, 1547, 317, 30585, 277, 281, 275, 7481, 325, 323, 815, 630, 273, 317, 271, 269, 276, 11850, 14673, 3899, 815, 535, 1417, 516, 1547, 265, 535, 323, 454, 17810, 815, 535, 1417, 516, 1547, 270, 535, 323, 692, 260, 260, 12059, 4239, 1511, 645, 1343, 454, 325, 1417, 516, 476, 815, 630, 1015, 269, 271, 317, 274, 264, 2608, 16733, 273, 269, 271, 264, 1547, 317, 630, 15631, 1240, 281, 1724, 4940, 270, 274, 4917, 325, 323, 815, 630, 273, 22677, 272, 270, 277, 4297, 3248, 14673, 3899, 815, 535, 1417, 516, 1547, 265, 535, 323, 454, 17810, 815, 535, 1417, 516, 1547, 270, 535, 323, 454, 3499, 0, 1012, 476, 273, 269, 1724, 13053, 781, 6396, 692, 2162, 12834, 692, 307, 836, 550, 3515, 616, 1031, 547, 1265, 519, 3597, 540, 606, 3830, 535, 3287, 264, 815, 476, 271, 267, 1141, 535, 568, 513, 1114, 4192, 1599, 269, 634, 5650, 267, 1572, 13053, 781, 6396, 267, 11225, 513, 5311, 540, 2798, 593, 519, 1535, 14289, 602, 27721, 547, 519, 3597, 269, 4014, 519, 1505, 666, 3111, 267, 621, 1568, 538, 513, 19599, 1804, 1297, 540, 2665, 780, 3528, 519, 1439, 540, 707, 4974, 267, 596, 1058, 917, 1384, 1892, 634, 12166, 7664, 540, 13053, 781, 6396, 563, 1892, 634, 12596, 602, 5581, 13053, 781, 6396, 563, 1892, 1215, 547, 4019, 13053, 781, 6396, 780, 4002, 1606, 10547, 813, 2280, 5528, 281, 7392, 513, 4358, 1871, 4553, 676, 519, 9373, 1883, 269, 8347, 1114, 4358, 2418, 543, 7747, 519, 1198, 269, 2052, 596, 2491, 1018, 4523, 950, 519, 4358, 1871, 568, 476, 272, 2496, 2162, 6201, 692, 13706, 519, 3830, 692, 663, 2161, 596, 20053, 547, 4194, 621, 1210, 13053, 781, 1505, 269, 1403, 519, 3355, 1871, 6074, 568, 711, 476, 271, 267, 1018, 786, 4755, 950, 596, 4019, 13053, 781, 1505, 2496, 8794, 13053, 781, 6396, 267, 1265, 519, 3830, 540, 519, 1899, 540, 5021, 9386, 17242, 547, 519, 7455, 586, 815, 5609, 3287, 264, 602, 10596, 998, 519, 5169, 269, 12315, 519, 2626, 547, 476, 277, 8918, 4025, 780, 8196, 13053, 781, 6396, 547, 16977, 547, 476, 277, 8918, 4025, 519, 3070, 547, 519, 3830, 692, 6124, 2023, 781, 6396, 692, 2162, 27678, 692, 8450, 2110, 7044, 540, 5249, 2042, 585, 713, 3296, 780, 2162, 20113, 692, 8450, 20113, 585, 476, 273, 269, 1724, 13053, 781, 6396, 630, 14457, 6393, 13480, 2228, 547, 4194, 519, 5751, 585, 713, 3296, 267, 610, 585, 1022, 824, 3296, 540, 519, 1837, 780, 2971, 21624, 13335, 692, 7212, 649, 616, 4974, 1483, 29705, 4240, 3252, 540, 513, 1483, 4756, 267, 13053, 781, 6396, 666, 581, 4294, 547, 1950, 2338, 607, 1134, 269, 634, 2164, 6556, 930, 4277, 5961, 602, 1397, 865, 10777, 13053, 5178, 1231, 267, 519, 1305, 540, 27952, 2798, 3056, 547, 519, 3070, 780, 25413, 2264, 4170, 281, 1280, 1655, 2164, 13156, 543, 15025, 609, 713, 2985, 267, 1205, 519, 1863, 3301, 7396, 1934, 780, 15648, 9736, 476, 1220, 276, 18496, 700, 269, 918, 516, 3187, 267, 595, 269, 667, 342, 697, 700, 1695, 337, 267, 19626, 808, 269, 667, 19342, 0, 258, 27989, 18065, 5811, 692, 14187, 10749, 454, 11243, 1384, 20540, 1384, 290, 1844, 7057, 4211, 1844, 3726, 5811, 692, 26015, 707, 4267, 547, 2055, 476, 272, 998, 476, 274, 593, 519, 1344, 543, 6516, 2630, 780, 275, 269, 589, 476, 280, 19581, 339, 6007, 568, 4448, 547, 513, 476, 275, 268, 2129, 332, 19919, 543, 513, 476, 276, 268, 2129, 332, 19919, 607, 3254, 538, 519, 6516, 2630, 780, 288, 476, 274, 269, 271, 268, 2129, 332, 19919, 267, 606, 7164, 19919, 267, 681, 267, 543, 1079, 993, 332, 4394, 267, 589, 272, 543, 589, 273, 267, 616, 4448, 607, 3254, 609, 513, 476, 1321, 19581, 339, 2707, 269, 2549, 31461, 589, 273, 14509, 513, 1699, 540, 476, 276, 269, 271, 993, 701, 637, 780, 1432, 568, 519, 1699, 538, 519, 476, 276, 268, 2129, 332, 19919, 888, 272, 269, 476, 272, 269, 271, 589, 454, 273, 269, 476, 272, 269, 279, 589, 454, 274, 269, 476, 273, 269, 274, 589, 454, 275, 269, 476, 275, 269, 271, 589, 454, 272, 269, 14419, 519, 6697, 4187, 540, 519, 5547, 780, 273, 269, 12433, 519, 1699, 6027, 676, 993, 31461, 589, 272, 563, 314, 17004, 782, 960, 267, 1519, 519, 3830, 543, 18839, 609, 4559, 780, 274, 269, 12433, 519, 4187, 540, 519, 7164, 19919, 267, 681, 563, 314, 17004, 782, 960, 267, 1519, 519, 3830, 543, 18839, 609, 4559, 269, 6540, 26015, 707, 4267, 547, 2055, 476, 276, 998, 476, 278, 593, 519, 1344, 2630, 563, 2304, 476, 1240, 268, 2129, 332, 19919, 543, 513, 476, 3607, 268, 2129, 332, 19919, 616, 4448, 538, 6252, 609, 513, 476, 2190, 19581, 339, 6007, 269, 589, 2582, 993, 31461, 568, 5116, 538, 519, 5547, 547, 1224, 922, 2698, 1699, 563, 276, 269, 8571, 513, 6516, 540, 713, 5547, 780, 277, 269, 12433, 519, 6697, 4187, 540, 519, 5547, 780, 278, 269, 12433, 519, 2698, 1379, 26632, 730, 538, 519, 5547, 780, 4338, 331, 639, 30125, 281, 27989, 4211, 1844, 3726, 5811, 692, 5746, 305, 11065, 273, 692, 17273, 476, 272, 692, 11243, 1384, 20540, 1384, 290, 1844, 7057, 4211, 1844, 3726, 5811, 692, 279, 269, 769, 799, 5547, 1131, 1699, 2095, 998, 19919, 681, 272, 855, 711, 998, 19919, 681, 273, 1247, 6467, 590, 568, 1930, 2496, 280, 269, 6904, 5547, 6516, 2630, 7157, 2982, 519, 4276, 540, 993, 31461, 589, 543, 18699, 31461, 966, 547, 2268, 519, 1699, 998, 543, 1761, 3017, 2066, 19919, 681, 2496, 1015, 269, 769, 519, 2230, 2630, 267, 2721, 513, 6516, 540, 606, 5665, 5547, 602, 2882, 912, 1892, 513, 6007, 607, 513, 2707, 540, 1761, 3017, 454, 1892, 1079, 27856, 538, 6252, 609, 1142, 824, 454, 1892, 606, 993, 31461, 602, 14509, 519, 2698, 1699, 538, 519, 5547, 692, 26015, 707, 4267, 547, 2055, 476, 1556, 998, 476, 1724, 593, 519, 1344, 543, 6516, 2630, 563, 288, 476, 1428, 268, 2129, 332, 19919, 267, 681, 272, 267, 543, 513, 476, 1789, 268, 2129, 332, 19919, 267, 681, 273, 267, 616, 547, 581, 4448, 538, 6252, 1063, 2798, 589, 543, 645, 538, 513, 5547, 5627, 513, 476, 3445, 19581, 339, 692, 1012, 1411, 2904, 4746, 4855, 1452, 26671, 6435, 995, 692, 1892, 5295, 995, 10749, 692, 7072, 910, 11272, 5547, 3069, 568, 835, 540, 519, 4909, 6436, 2390, 799, 782, 8371, 540, 5122, 4702, 616, 3710, 269, 910, 3509, 8371, 540, 5122, 4702, 267, 971, 607, 1379, 267, 3167, 6191, 267, 1852, 267, 11418, 267, 10618, 267, 543, 31627, 267, 616, 1759, 593, 3167, 5547, 3069, 269, 910, 769, 5122, 4702, 267, 649, 616, 1419, 5461, 538, 22151, 1648, 689, 835, 1448, 547, 1776, 269, 910, 1677, 798, 713, 3340, 606, 954, 28947, 540, 5122, 3457, 269, 910, 6270, 954, 28947, 568, 2507, 692, 1892, 476, 9340, 4649, 9293, 454, 1892, 476, 3393, 9664, 454, 20175, 995, 10749, 454, 1892, 6153, 10749, 692, 321, 21392, 2164, 269, 1306, 2106, 28942, 11387, 1832, 519, 13429, 602, 6786, 616, 9352, 267, 855, 4894, 519, 13429, 602, 942, 568, 15768, 269, 901, 814, 1896, 2009, 2640, 281, 3143, 9219, 7729, 342, 910, 1849, 1442, 7729, 342, 568, 519, 3017, 538, 12625, 2053, 540, 519, 9219, 5365, 693, 1114, 2694, 540, 519, 5547, 269, 4595, 607, 2106, 28942, 11387, 676, 4214, 723, 1100, 11451, 7856, 9219, 267, 972, 568, 1100, 991, 547, 5855, 827, 9219, 7729, 342, 269, 769, 4334, 267, 15222, 748, 1949, 1419, 3500, 1524, 741, 11387, 547, 13918, 519, 7729, 342, 269, 1306, 4183, 2507, 692, 1892, 476, 1911, 273, 9293, 454, 1892, 476, 276, 9664, 454, 14187, 10749, 454, 1892, 6153, 10749, 692, 10454, 18065, 257, 676, 12770, 13343, 2946, 928, 345, 2368, 2984, 2995, 596, 827, 2576, 779, 1272, 607, 513, 27540, 11832, 269, 2290, 1650, 568, 968, 763, 18065, 6100, 769, 713, 1650, 676, 12770, 13343, 20318, 621, 827, 513, 1762, 7911, 945, 5030, 538, 6792, 602, 1568, 593, 11396, 609, 1010, 7015, 543, 4651, 547, 948, 1489, 1010, 1920, 269, 10801, 1010, 1650, 267, 12770, 6257, 547, 519, 5304, 875, 1010, 1920, 7575, 1472, 689, 3484, 547, 3484, 585, 960, 267, 875, 621, 568, 1271, 827, 4543, 856, 707, 1920, 543, 875, 646, 6499, 547, 979, 547, 1153, 269, 2311, 519, 4098, 540, 2507, 692, 1892, 476, 2004, 274, 9293, 454, 1892, 476, 274, 9664, 454, 14187, 10749, 454, 1892, 14568, 10749, 692, 5746, 13612, 308, 3951, 306, 700, 5723, 3036, 2969, 12088, 12327, 25807, 8379, 7728, 476, 274, 8028, 18065, 5811, 476, 274, 269, 272, 4985, 634, 11931, 15581, 2623, 540, 11387, 10069, 1242, 676, 18980, 18042, 2959, 568, 606, 1271, 1858, 540, 1353, 585, 1896, 4128, 269, 3689, 267, 519, 5108, 267, 6771, 267, 3892, 267, 543, 4616, 540, 3167, 1648, 2049, 896, 9247, 18980, 18042, 11931, 15581, 2175, 269, 5822, 267, 606, 1620, 540, 18980, 18042, 2623, 2306, 2009, 519, 12605, 540, 5547, 2623, 950, 20060, 19434, 18042, 2959, 616, 1031, 998, 519, 946, 540, 2553, 2507, 692, 1892, 476, 276, 3607, 272, 9293, 454, 1892, 476, 2420, 9664, 454, 289, 21392, 10749, 454, 1892, 5295, 995, 10749, 692, 306, 1460, 628, 9990, 267, 2063, 9337, 5147, 476, 1839, 267, 476, 1220, 278, 476, 273, 16497, 769, 11272, 27989, 267, 11730, 4083, 1107, 8028, 1635, 25414, 681, 269, 918, 25045, 12245, 339, 14520, 628, 9990, 267, 2063, 9337, 5147, 476, 1839, 267, 476, 1220, 278, 1775, 524, 476, 1220, 271, 268, 1001, 271, 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 ]
[ 7003, 30415, 264, 2525, 272, 912, 1038, 1820, 2891, 21595, 30308, 32405, 825, 3116, 912, 1038, 952, 5569, 314, 271, 316, 2525, 11415, 27007, 6352, 30415, 9984, 272, 13580, 912, 2018, 2132, 5493, 30308, 30415, 314, 272, 281, 263, 6352, 30415, 9984, 272, 264, 7481, 1038, 3116, 912, 2018, 1820, 2891, 8253, 513, 5493, 30308, 32405, 13872, 25659, 30308, 30415, 264, 13872, 1363, 692, 672, 0, 343, 284, 6358, 2891, 11767, 519, 5048, 24097, 333, 14744, 344, 284, 24834, 9272, 2891, 11767, 519, 5048, 10956, 1293, 24097, 333, 8442, 3418, 345, 284, 24834, 9272, 2891, 11767, 519, 7406, 11098, 24097, 333, 8442, 3418, 24541, 3698, 1560, 28399, 825, 585, 1775, 538, 2039, 12169, 8029, 1038, 1820, 2891, 347, 257, 265, 345, 267, 834, 14307, 1535, 267, 834, 14307, 834, 347, 257, 265, 345, 267, 694, 335, 284, 3269, 3418, 1363, 1477, 3698, 1283, 28399, 825, 524, 284, 271, 1477, 825, 585, 1775, 538, 2039, 18750, 267, 476, 271, 267, 910, 272, 8029, 1038, 513, 14352, 6352, 3287, 17903, 1038, 1820, 2891, 347, 257, 265, 322, 267, 834, 266, 2580, 29038, 257, 16732, 320, 23444, 328, 265, 273, 24270, 834, 266, 2580, 834, 347, 257, 265, 322, 267, 694, 335, 284, 3269, 3418, 1038, 524, 23785, 272, 1477, 1363, 1477, 3698, 5377, 28399, 825, 524, 284, 345, 268, 272, 1477, 825, 536, 14352, 6352, 3287, 17903, 825, 585, 1775, 538, 2039, 18750, 8029, 1363, 1477, 1038, 1820, 2891, 347, 257, 265, 322, 267, 834, 266, 2580, 29038, 257, 16732, 321, 266, 273, 1070, 834, 266, 2580, 834, 347, 257, 265, 322, 267, 694, 335, 284, 3269, 3418, 1038, 524, 268, 284, 272, 1477, 1038, 536, 23785, 273, 1477, 1363, 1477, 24541, 9008, 14052, 7853, 14052, 321, 18847, 3890, 0, 18851, 23804, 25276, 3252, 1210, 16571, 542, 454, 297, 1228, 22642, 523, 454, 278, 2904, 476, 1001, 275, 20701, 3698, 5493, 30308, 4433, 2187, 825, 952, 521, 2652, 1412, 12466, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 952, 521, 314, 271, 316, 2652, 521, 15631, 272, 14158, 2018, 2132, 5493, 30308, 4433, 314, 272, 281, 6352, 4433, 9984, 272, 7481, 1038, 3116, 912, 2018, 2132, 8771, 28329, 13872, 338, 815, 3403, 2891, 11767, 513, 5569, 24097, 333, 15419, 604, 5493, 30308, 4433, 2187, 825, 1820, 2891, 21595, 30308, 32405, 12828, 912, 825, 1820, 2891, 8253, 513, 5493, 30308, 256, 8442, 0, 18257, 32491, 547, 17278, 513, 5048, 454, 299, 8123, 715, 7596, 324, 454, 278, 2904, 476, 1001, 275, 18257, 692, 332, 20687, 318, 284, 6358, 3488, 11767, 513, 5048, 24097, 333, 5073, 332, 20687, 284, 332, 20687, 318, 269, 12294, 4590, 531, 8224, 8782, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 262, 258, 11415, 5627, 519, 9904, 454, 16780, 7973, 539, 284, 5257, 1948, 24105, 5569, 585, 24290, 5048, 454, 12072, 5332, 334, 284, 271, 1948, 12072, 1297, 547, 17278, 454, 3698, 17278, 263, 12072, 5332, 334, 2187, 825, 2518, 24290, 454, 825, 952, 4484, 5332, 334, 283, 6352, 9852, 20687, 264, 543, 5048, 314, 12072, 5332, 334, 316, 2652, 1412, 1412, 912, 1038, 15981, 12921, 760, 14238, 593, 606, 8900, 2230, 543, 1039, 513, 2230, 18411, 1038, 24290, 266, 8782, 1412, 454, 1038, 2132, 17278, 263, 12072, 5332, 334, 266, 272, 264, 258, 704, 845, 16571, 542, 593, 1985, 4484, 22562, 825, 8640, 4484, 5332, 334, 283, 6352, 9852, 20687, 2567, 258, 16780, 7973, 952, 1369, 1592, 3259, 454, 1038, 24290, 266, 14352, 531, 8224, 314, 531, 8224, 26098, 9852, 20687, 314, 12072, 5332, 334, 8079, 266, 272, 8079, 258, 5417, 14238, 547, 14238, 5569, 454, 1038, 2132, 17278, 263, 12072, 5332, 334, 266, 272, 264, 1948, 704, 845, 14238, 593, 1985, 4484, 22562, 16780, 7973, 263, 12072, 5332, 334, 994, 2745, 3488, 21886, 7973, 539, 5048, 24097, 333, 3299, 16780, 7973, 539, 267, 572, 335, 284, 5257, 264, 1948, 2745, 3977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 971, 607, 2295, 2068, 543, 8482, 476, 273, 269, 1744, 22284, 10261, 539, 1677, 1325, 793, 2060, 13245, 14856, 18963, 267, 7351, 14856, 18963, 538, 519, 2136, 2276, 267, 589, 1849, 29141, 6733, 693, 7351, 2271, 1389, 543, 30318, 1744, 22284, 267, 3848, 476, 274, 269, 594, 960, 513, 3339, 476, 279, 5662, 2816, 513, 1554, 607, 606, 14721, 269, 1496, 323, 316, 6480, 23660, 585, 8951, 798, 711, 1331, 2021, 945, 616, 9176, 610, 20418, 269, 11314, 11638, 680, 1512, 281, 20767, 23358, 815, 645, 17307, 1535, 476, 272, 269, 273, 630, 331, 8077, 610, 1100, 3635, 267, 11380, 2816, 264, 700, 4774, 3742, 815, 645, 17307, 1535, 476, 272, 269, 23841, 630, 2775, 3635, 270, 5026, 476, 272, 268, 274, 2395, 270, 15553, 264, 3525, 518, 2299, 3742, 815, 645, 17307, 1535, 476, 272, 269, 4649, 630, 7116, 4733, 3635, 270, 5026, 476, 277, 268, 278, 2395, 270, 15553, 264, 15020, 3742, 815, 645, 17307, 1535, 476, 272, 269, 278, 1839, 2560, 28214, 2635, 543, 4743, 1434, 827, 3054, 568, 711, 513, 17195, 1107, 621, 779, 606, 6207, 13766, 269, 31158, 1578, 707, 1453, 779, 29525, 269, 10738, 1142, 2085, 543, 3023, 7121, 267, 519, 1970, 1439, 540, 519, 2039, 568, 585, 25161, 2043, 282, 519, 1164, 1439, 540, 519, 2039, 568, 585, 3742, 2043, 269, 1290, 13025, 693, 1964, 267, 855, 8723, 2168, 2534, 2164, 538, 2589, 540, 670, 293, 269, 769, 513, 2262, 281, 1312, 269, 769, 476, 1220, 279, 270, 1001, 271, 267, 3689, 8315, 593, 9113, 2925, 941, 4280, 827, 741, 2157, 540, 2534, 2507, 4578, 568, 6592, 585, 476, 274, 2516, 281, 9308, 3742, 1107, 1004, 945, 798, 476, 5611, 3764, 610, 811, 513, 3018, 590, 2775, 20159, 540, 2168, 2534, 269, 634, 2698, 1297, 540, 8477, 513, 1268, 2115, 1142, 1554, 9775, 4470, 593, 513, 1297, 540, 2188, 267, 1519, 519, 1268, 779, 2085, 267, 3023, 267, 4463, 267, 2597, 267, 543, 1377, 540, 2168, 2534, 269, 8033, 4240, 11644, 9669, 585, 7392, 476, 273, 12128, 269, 6480, 13846, 2836, 12929, 20126, 829, 4303, 267, 676, 6520, 267, 11557, 267, 543, 8447, 11314, 5426, 269, 1452, 616, 1152, 9193, 267, 543, 4114, 574, 725, 540, 1367, 17811, 2115, 666, 581, 29211, 609, 2228, 2645, 971, 607, 1346, 2139, 693, 8940, 4732, 10967, 10177, 14982, 30994, 6767, 10993, 269, 594, 1589, 594, 6557, 1063, 21066, 3742, 270, 7116, 518, 2299, 3742, 269, 11314, 1377, 4016, 547, 519, 2179, 540, 2168, 5163, 707, 1453, 723, 1247, 3257, 2238, 269, 11020, 1382, 2488, 3395, 2963, 540, 519, 2956, 540, 2168, 2534, 585, 1585, 3344, 540, 5042, 3252, 269, 6480, 13846, 2115, 585, 1762, 1453, 2039, 689, 476, 272, 267, 1822, 547, 476, 273, 267, 1822, 8477, 829, 1554, 267, 543, 519, 2039, 585, 4587, 1453, 543, 10708, 9775, 15186, 689, 476, 272, 267, 6110, 547, 476, 274, 267, 1220, 8477, 829, 1554, 267, 609, 8695, 3622, 2348, 2362, 17811, 2115, 982, 6690, 269, 4340, 547, 606, 2376, 3370, 538, 7351, 32722, 538, 11916, 12594, 1299, 5450, 20326, 5516, 538, 5181, 476, 1220, 277, 267, 17324, 543, 3339, 27954, 855, 25161, 2043, 616, 519, 1034, 2693, 547, 21467, 560, 1493, 741, 2168, 2534, 2157, 950, 3379, 547, 1346, 945, 616, 5781, 3742, 269, 769, 4999, 609, 519, 21828, 10894, 2557, 267, 621, 666, 581, 1031, 547, 12337, 519, 2179, 540, 1426, 1648, 513, 1268, 2115, 547, 8532, 538, 1931, 547, 2226, 513, 1880, 6197, 907, 2986, 519, 476, 1626, 3108, 6170, 9361, 270, 9227, 3232, 267, 1614, 540, 891, 3108, 616, 6170, 538, 1769, 2534, 971, 607, 6972, 610, 3257, 27445, 269, 15526, 13201, 513, 10020, 538, 25417, 13245, 14856, 18963, 267, 20051, 4658, 7316, 1358, 3657, 281, 12745, 783, 11790, 543, 13245, 14856, 18963, 267, 25715, 476, 273, 269, 476, 3267, 570, 291, 7417, 815, 645, 17307, 1535, 11314, 5426, 269, 16989, 2168, 2534, 676, 10871, 16958, 269, 634, 1739, 568, 538, 13076, 609, 15509, 543, 589, 5425, 300, 4808, 269, 27706, 267, 7622, 543, 16837, 2238, 616, 11567, 676, 623, 17955, 267, 936, 513, 835, 22173, 1974, 269, 4107, 4892, 936, 10140, 1493, 741, 1377, 540, 2168, 2534, 269, 4937, 8447, 11242, 4347, 1441, 676, 5426, 540, 2271, 3748, 269, 1924, 267, 606, 2534, 609, 513, 631, 4953, 1871, 540, 476, 275, 1797, 596, 2461, 11851, 532, 2185, 2053, 519, 1648, 982, 596, 1131, 952, 596, 941, 9361, 1869, 269, 11314, 23586, 15873, 2422, 713, 7503, 5750, 547, 3313, 519, 1297, 540, 3268, 585, 2238, 824, 982, 6972, 269, 966, 580, 5387, 2238, 630, 285, 277, 631, 4953, 338, 12684, 631, 4953, 338, 17224, 11131, 7544, 476, 277, 269, 276, 17224, 11131, 7544, 267, 1164, 1764, 476, 278, 269, 271, 17224, 11131, 19480, 267, 476, 277, 268, 279, 6279, 476, 279, 269, 276, 7982, 17569, 532, 476, 278, 269, 271, 31336, 4252, 3014, 476, 279, 269, 271, 645, 5390, 743, 532, 267, 476, 1321, 268, 1724, 18890, 476, 279, 269, 271, 645, 5390, 743, 532, 267, 476, 736, 266, 18890, 476, 1626, 269, 271, 2836, 626, 1156, 923, 267, 5230, 267, 24526, 476, 279, 269, 271, 2052, 27739, 267, 476, 276, 18890, 610, 2823, 1645, 476, 278, 269, 271, 674, 5109, 538, 6908, 609, 530, 19470, 476, 277, 269, 276, 25624, 267, 8013, 476, 280, 269, 271, 25624, 267, 5905, 270, 4148, 698, 476, 279, 269, 271, 2560, 769, 476, 1001, 274, 270, 1001, 275, 267, 519, 2085, 268, 20598, 2213, 8167, 540, 1004, 5870, 519, 2168, 2534, 4808, 630, 516, 1636, 532, 789, 723, 1044, 9308, 3742, 585, 693, 2547, 476, 1789, 3764, 513, 1554, 593, 2947, 610, 811, 2395, 538, 519, 2250, 3018, 264, 729, 476, 7906, 269, 279, 2600, 267, 607, 6027, 676, 519, 1715, 10215, 2657, 11752, 269, 2659, 2698, 942, 6170, 9361, 568, 1932, 1164, 543, 596, 1810, 1406, 2736, 909, 707, 9361, 942, 2614, 1282, 519, 1554, 267, 855, 1134, 2944, 593, 1373, 3742, 1310, 960, 269, 1496, 320, 316, 20767, 23358, 1797, 513, 6197, 602, 2882, 1152, 519, 2168, 2534, 540, 4830, 2713, 269, 901, 5267, 602, 621, 949, 581, 2009, 547, 3648, 2539, 1072, 1416, 3790, 676, 5355, 2168, 2534, 2157, 538, 4587, 4079, 267, 607, 3379, 609, 1022, 824, 2085, 1895, 269, 275, 269, 1323, 5051, 25161, 6197, 1223, 3976, 581, 711, 1152, 5739, 547, 2551, 1072, 267, 855, 849, 7519, 1480, 3854, 13250, 269, 6480, 13846, 5666, 540, 8477, 2877, 547, 2226, 17811, 3666, 585, 1585, 2085, 543, 3023, 2516, 693, 1614, 1114, 2157, 540, 2168, 2534, 616, 3177, 538, 7305, 589, 273, 268, 272, 269, 631, 4953, 8867, 12069, 540, 5871, 1234, 920, 1049, 11242, 269, 5589, 1800, 12924, 11190, 4147, 1058, 2049, 693, 1142, 5604, 3643, 547, 22945, 519, 4110, 540, 6198, 20159, 13684, 676, 670, 293, 269, 1280, 4079, 267, 519, 4704, 812, 568, 476, 276, 3952, 476, 1015, 6279, 7381, 543, 22179, 476, 15150, 6550, 269, 11644, 568, 2386, 547, 581, 593, 707, 547, 28273, 1592, 952, 596, 723, 3987, 269, 9182, 267, 3110, 3770, 2168, 2534, 543, 1560, 2597, 616, 519, 1292, 21876, 585, 519, 4763, 538, 1648, 4170, 540, 2937, 5095, 609, 1114, 19824, 630, 22832, 543, 5576, 1993, 1752, 267, 476, 1960, 271, 1040, 16989, 2168, 2534, 676, 22975, 1377, 476, 272, 269, 10001, 269, 2311, 2547, 835, 5662, 267, 1079, 547, 1614, 2053, 829, 3018, 267, 568, 13991, 547, 26815, 7920, 3635, 267, 971, 607, 15472, 610, 1970, 27780, 716, 7098, 984, 923, 269, 8347, 547, 1331, 782, 476, 275, 2010, 540, 3635, 910, 4222, 267, 8112, 267, 3666, 543, 16608, 269, 595, 1538, 528, 1944, 707, 3635, 607, 596, 960, 856, 1753, 23861, 23736, 616, 2356, 711, 1360, 7920, 8167, 4079, 1862, 8376, 543, 8482, 476, 273, 3643, 547, 22945, 519, 4110, 540, 6198, 20159, 13684, 676, 670, 293, 5662, 256, 26465, 525, 949, 723, 513, 623, 3201, 540, 476, 273, 269, 271, 610, 3152, 4102, 24572, 540, 707, 6197, 543, 3635, 6296, 6574, 8635, 1421, 707, 1973, 2604, 267, 3635, 666, 948, 596, 2057, 3384, 13119, 547, 6218, 519, 2534, 1862, 17817, 585, 2168, 2534, 2157, 1851, 1762, 1004, 9907, 476, 1428, 1700, 2190, 267, 1294, 281, 1377, 2168, 269, 22165, 3107, 2557, 476, 274, 269, 271, 547, 476, 277, 269, 271, 631, 4953, 338, 2608, 630, 476, 274, 269, 276, 547, 476, 278, 737, 5632, 26553, 24526, 1862, 4635, 606, 2534, 1377, 630, 623, 3201, 3738, 538, 713, 10471, 568, 476, 272, 269, 278, 267, 865, 568, 519, 1034, 3617, 267, 256, 769, 5562, 267, 552, 3052, 267, 25715, 476, 279, 1018, 1412, 338, 2442, 3040, 24720, 4937, 2168, 4347, 1441, 1421, 2961, 8510, 3433, 267, 27438, 267, 15310, 267, 15310, 1399, 3600, 1749, 267, 932, 7995, 267, 19871, 267, 621, 269, 918, 5632, 270, 14737, 3738, 24526, 2534, 266, 9422, 17644, 585, 6520, 4149, 1410, 20492, 1759, 593, 513, 1126, 11313, 1018, 1862, 918, 10107, 543, 3001, 972, 616, 2947, 2534, 2048, 2157, 267, 476, 272, 8792, 540, 2534, 256, 1280, 2168, 2534, 267, 28491, 7929, 8516, 267, 543, 4114, 574, 725, 540, 1367, 17811, 2115, 1554, 1862, 10829, 1518, 519, 4110, 540, 6198, 20159, 13684, 676, 670, 293, 267, 1294, 281, 1377, 540, 8515, 982, 1862, 12618, 12125, 519, 8655, 5515, 538, 519, 2168, 543, 14227, 5054, 23586, 946, 256, 476, 273, 269, 271, 543, 476, 273, 269, 275, 519, 1416, 540, 2576, 3116, 513, 2635, 6197, 476, 736, 268, 1911, 18126, 267, 256, 30216, 3395, 2963, 540, 519, 11015, 568, 547, 1174, 1018, 2306, 909, 707, 2168, 2534, 1377, 5750, 1648, 23511, 1809, 8723, 2168, 2534, 1377, 5750, 2630, 707, 547, 28273, 1592, 952, 596, 3987, 269, 4635, 2901, 519, 20831, 5174, 2989, 1112, 610, 631, 858, 4802, 21178, 269, 8614, 528, 12596, 2557, 602, 2049, 609, 10172, 267, 17811, 2115, 829, 28011, 5517, 267, 1419, 538, 14685, 334, 267, 789, 6542, 1164, 2534, 609, 6266, 737, 10107, 269, 2859, 4058, 543, 2597, 4268, 513, 2241, 3830, 540, 8477, 596, 11313, 556, 856, 540, 7362, 610, 616, 2807, 7392, 540, 2168, 2534, 568, 513, 851, 540, 707, 17811, 4170, 267, 596, 666, 2347, 519, 20831, 5174, 2989, 1112, 610, 631, 858, 4802, 21178, 269, 12596, 1862, 589, 3018, 3738, 568, 2404, 609, 1920, 543, 1858, 7400, 3800, 540, 519, 568, 269, 6468, 945, 616, 9176, 610, 20418, 645, 17307, 1535, 2534, 1377, 543, 4568, 4616, 519, 4611, 786, 256, 15873, 946, 713, 23586, 5750, 946, 713, 23586, 5750, 547, 3313, 519, 1297, 8612, 538, 2168, 24222, 476, 272, 8792, 540, 24526, 2534, 568, 1141, 596, 11313, 1654, 7229, 676, 645, 17307, 543, 1631, 1174, 1018, 909, 269, 23560, 27445, 10003, 14090, 547, 519, 2179, 540, 2168, 2534, 585, 1585, 3344, 540, 3252, 1421, 11557, 267, 543, 2168, 2534, 2157, 267, 11313, 8151, 689, 25161, 547, 18942, 1614, 2157, 540, 2534, 256, 6115, 630, 9823, 476, 2567, 519, 2817, 15272, 6176, 17563, 10832, 5310, 609, 513, 3787, 811, 4058, 29680, 256, 2986, 7362, 610, 616, 24852, 568, 476, 272, 269, 278, 267, 865, 568, 519, 1909, 540, 2168, 2534, 585, 1585, 3344, 5042, 269, 12339, 2297, 798, 711, 1331, 2021, 945, 616, 9176, 610, 20418, 9793, 2534, 568, 2404, 609, 1920, 543, 1858, 7400, 540, 256, 2334, 2534, 1377, 4473, 1586, 5581, 1373, 3339, 2597, 610, 14968, 616, 1759, 1034, 2390, 256, 1280, 3214, 267, 19483, 2157, 602, 5581, 1373, 3339, 2597, 610, 14968, 616, 1034, 256, 11314, 666, 581, 29211, 609, 2228, 2645, 971, 607, 1346, 2139, 693, 2807, 28968, 12391, 585, 10708, 543, 1762, 4079, 616, 23679, 5116, 543, 14018, 547, 5838, 6835, 269, 2859, 5079, 543, 513, 4514, 7778, 540, 1142, 1377, 2337, 596, 547, 811, 8308, 7447, 707, 1648, 23511, 3525, 4733, 2534, 568, 2404, 609, 1920, 543, 1858, 7400, 3800, 540, 519, 3797, 1058, 256, 15580, 693, 1964, 568, 513, 2560, 631, 4953, 8867, 12069, 540, 5871, 1234, 920, 1049, 2238, 960, 856, 568, 2653, 621, 11313, 1018, 1862, 476, 273, 269, 271, 543, 476, 273, 269, 275, 267, 19871, 267, 543, 2168, 2534, 2157, 616, 6829, 281, 24222, 28491, 7929, 8516, 267, 543, 2168, 2534, 1377, 543, 14227, 2168, 2534, 1377, 5750, 519, 2039, 540, 623, 3201, 2418, 616, 269, 769, 14685, 334, 267, 789, 6542, 1164, 2534, 609, 6266, 540, 737, 10107, 543, 3001, 5163, 707, 476, 9957, 2974, 15544, 585, 2068, 6513, 543, 10644, 630, 15509, 3738, 814, 2919, 543, 1862, 1975, 550, 9361, 270, 9227, 3232, 267, 547, 2226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1341, 744, 476, 273, 630, 326, 264, 715, 476, 273, 630, 326, 264, 1341, 476, 273, 295, 476, 273, 744, 10857, 264, 737, 329, 17677, 519, 2034, 5114, 476, 273, 263, 295, 476, 273, 630, 326, 264, 1341, 476, 16006, 744, 476, 273, 630, 326, 264, 670, 476, 273, 744, 10857, 4297, 476, 273, 263, 737, 329, 264, 681, 27654, 543, 5595, 519, 3791, 678, 343, 333, 281, 476, 273, 263, 295, 476, 273, 744, 476, 273, 630, 331, 264, 670, 476, 273, 630, 326, 264, 1341, 744, 476, 273, 630, 326, 4297, 910, 273, 263, 737, 329, 264, 15788, 31472, 281, 715, 476, 273, 670, 476, 275, 630, 331, 264, 1341, 744, 476, 273, 630, 326, 264, 1341, 476, 273, 295, 476, 273, 630, 326, 264, 1341, 744, 476, 273, 630, 326, 264, 1341, 476, 273, 295, 476, 273, 744, 476, 273, 630, 331, 264, 715, 476, 273, 630, 326, 264, 1341, 476, 273, 295, 476, 273, 744, 10857, 264, 1341, 476, 273, 295, 476, 273, 744, 10857, 264, 1341, 476, 273, 295, 476, 273, 630, 326, 264, 1341, 476, 273, 302, 476, 273, 630, 326, 264, 715, 476, 273, 670, 476, 275, 630, 331, 264, 1341, 476, 273, 295, 476, 273, 744, 476, 273, 630, 331, 264, 715, 476, 273, 630, 326, 264, 1341, 476, 275, 295, 476, 273, 744, 10857, 264, 670, 522, 815, 737, 329, 1341, 630, 273, 263, 737, 329, 4297, 1341, 8987, 273, 263, 737, 329, 4297, 815, 737, 329, 476, 273, 692, 274, 476, 278, 269, 14419, 519, 3044, 6678, 531, 6853, 540, 5250, 540, 15279, 2033, 267, 595, 476, 277, 670, 476, 1691, 630, 331, 1070, 689, 519, 1344, 2630, 269, 7797, 707, 1267, 538, 4559, 540, 737, 329, 829, 3727, 540, 15279, 2033, 269, 476, 273, 595, 476, 277, 670, 476, 1691, 630, 331, 264, 1341, 476, 866, 744, 476, 273, 630, 326, 264, 476, 1321, 2910, 476, 273, 630, 326, 264, 1341, 476, 1691, 670, 476, 273, 744, 10857, 264, 670, 522, 815, 737, 329, 15661, 670, 522, 535, 267, 737, 329, 12387, 910, 272, 590, 522, 535, 267, 808, 12387, 910, 272, 918, 910, 272, 717, 522, 535, 267, 737, 329, 12387, 910, 272, 744, 476, 273, 630, 326, 264, 670, 476, 273, 630, 326, 264, 595, 4433, 267, 27948, 264, 2910, 476, 273, 630, 326, 264, 670, 476, 273, 744, 10857, 264, 670, 476, 273, 744, 14116, 264, 670, 522, 678, 343, 333, 815, 476, 1321, 670, 522, 535, 267, 2910, 670, 522, 535, 267, 327, 273, 334, 630, 273, 670, 522, 535, 22698, 277, 327, 670, 522, 535, 267, 334, 273, 264, 737, 329, 815, 476, 1321, 263, 737, 329, 264, 1341, 476, 1691, 263, 737, 329, 264, 630, 273, 670, 522, 535, 22698, 277, 327, 630, 271, 737, 329, 4297, 670, 522, 535, 22698, 277, 327, 1691, 815, 737, 329, 910, 476, 1321, 263, 737, 329, 264, 910, 476, 1691, 263, 737, 329, 264, 815, 737, 329, 8276, 565, 595, 476, 277, 670, 1280, 519, 5114, 267, 476, 273, 12971, 14116, 264, 1341, 1849, 476, 273, 630, 326, 264, 476, 273, 12971, 5141, 14116, 1070, 670, 522, 815, 737, 329, 269, 2311, 1018, 5210, 798, 596, 2503, 519, 5114, 547, 581, 21245, 281, 1164, 267, 1970, 267, 782, 267, 610, 9039, 286, 3807, 1518, 707, 2626, 269, 1403, 649, 1413, 693, 519, 5114, 267, 972, 616, 1614, 18253, 540, 3154, 593, 519, 2746, 656, 2427, 543, 1152, 1079, 18253, 540, 3154, 593, 519, 1587, 2427, 267, 4061, 267, 649, 2503, 519, 590, 585, 713, 1184, 547, 581, 2942, 269, 1924, 267, 649, 786, 723, 513, 3510, 1141, 649, 723, 513, 2942, 670, 543, 513, 2942, 590, 269, 4595, 717, 815, 670, 910, 570, 590, 267, 519, 15514, 2033, 640, 540, 519, 5114, 786, 4096, 593, 2837, 269, 769, 1931, 585, 717, 547, 581, 2942, 543, 723, 513, 21245, 5114, 267, 2837, 1590, 581, 1970, 538, 1931, 585, 670, 910, 570, 590, 547, 2611, 2942, 269, 4475, 267, 649, 2503, 713, 5114, 547, 581, 21245, 693, 1970, 5210, 269, 476, 274, 692, 275, 3487, 4083, 269, 8382, 1079, 630, 273, 264, 540, 2042, 22682, 1665, 519, 2042, 596, 798, 711, 1616, 28439, 269, 476, 1428, 2798, 1142, 269, 476, 280, 269, 634, 3355, 2557, 540, 519, 5114, 589, 1341, 645, 595, 1341, 667, 568, 5462, 585, 1114, 3355, 2175, 267, 609, 519, 2164, 7396, 538, 519, 3349, 2630, 269, 14419, 519, 2557, 1876, 543, 519, 2557, 3586, 585, 519, 5114, 269, 15331, 1496, 288, 3910, 631, 1496, 289, 3910, 631, 19461, 15580, 630, 16039, 910, 272, 3738, 1535, 1535, 1535, 1535, 476, 1015, 268, 274, 24951, 6547, 476, 272, 543, 476, 273, 281, 1496, 288, 316, 3788, 3586, 267, 855, 1496, 289, 316, 2242, 676, 630, 271, 269, 271, 4391, 271, 270, 271, 269, 26289, 276, 264, 815, 476, 273, 2053, 269, 634, 2557, 2242, 676, 630, 277, 269, 4037, 1535, 476, 1015, 268, 275, 1315, 274, 269, 3374, 1535, 476, 1015, 268, 275, 3738, 815, 476, 273, 269, 4905, 2053, 269, 4595, 519, 1689, 538, 2557, 568, 519, 1482, 607, 519, 1689, 538, 5834, 267, 519, 5114, 1590, 581, 1101, 1931, 538, 645, 269, 3767, 9236, 6547, 476, 273, 543, 476, 274, 281, 1496, 289, 316, 3788, 3586, 267, 855, 1496, 288, 316, 2242, 676, 630, 271, 269, 271, 2918, 277, 270, 271, 269, 25320, 274, 264, 815, 476, 273, 2053, 269, 634, 2557, 2242, 676, 630, 273, 269, 3583, 1535, 476, 1015, 268, 274, 1315, 277, 269, 4037, 1535, 476, 1015, 268, 275, 3738, 815, 476, 275, 269, 876, 2053, 269, 4595, 519, 1689, 538, 2557, 568, 519, 1482, 607, 519, 1689, 538, 5834, 16302, 267, 519, 5114, 1590, 581, 2034, 1931, 538, 589, 269, 4475, 267, 519, 2557, 1876, 1590, 581, 281, 15580, 815, 737, 314, 320, 316, 476, 273, 1496, 289, 316, 1284, 666, 946, 1022, 4603, 547, 1265, 519, 1871, 540, 519, 2557, 3586, 269, 2913, 521, 946, 4603, 476, 275, 281, 737, 815, 15580, 815, 476, 272, 269, 3374, 1535, 476, 1015, 268, 274, 15516, 910, 272, 815, 476, 9818, 631, 910, 273, 521, 910, 272, 1496, 288, 316, 476, 273, 1496, 289, 316, 630, 271, 269, 271, 2918, 277, 300, 264, 476, 273, 630, 271, 269, 26289, 276, 300, 264, 1924, 267, 519, 2949, 2557, 1876, 568, 281, 15580, 815, 476, 9818, 631, 910, 273, 521, 910, 272, 1496, 288, 316, 476, 273, 1496, 289, 316, 476, 275, 692, 276, 476, 1015, 269, 28220, 1079, 5114, 11282, 12222, 2630, 269, 1280, 519, 1101, 6516, 267, 9414, 513, 13598, 5114, 602, 568, 1875, 17898, 2632, 10389, 543, 3728, 538, 519, 4464, 4287, 269, 1280, 519, 2034, 267, 9414, 513, 13598, 5114, 602, 568, 21245, 543, 3500, 538, 519, 4464, 4287, 269, 22682, 6003, 707, 13602, 269, 1280, 1142, 6516, 267, 1331, 513, 5618, 6609, 540, 875, 621, 25389, 519, 15514, 2033, 640, 543, 3432, 540, 519, 5114, 4170, 269, 2659, 6516, 585, 519, 1875, 17898, 2632, 10389, 543, 3728, 5114, 1058, 7703, 930, 11696, 28917, 547, 519, 4605, 2630, 543, 2743, 519, 1739, 4170, 281, 476, 272, 264, 519, 17887, 1590, 581, 13042, 267, 476, 273, 264, 519, 1863, 1648, 585, 519, 2746, 1218, 1590, 581, 1447, 982, 519, 1863, 1648, 540, 519, 1587, 865, 602, 717, 568, 2318, 630, 12061, 17898, 2632, 10389, 1070, 476, 274, 264, 519, 2450, 540, 519, 11852, 11064, 630, 24824, 264, 1590, 581, 1459, 267, 855, 5266, 1507, 547, 5815, 513, 3728, 5114, 269, 2659, 4901, 1058, 1448, 856, 891, 3688, 269, 2659, 6516, 585, 519, 21245, 543, 3500, 5114, 1058, 7703, 930, 11696, 28917, 547, 519, 4605, 2630, 543, 2743, 519, 1739, 4170, 281, 476, 272, 264, 519, 17887, 1590, 581, 13042, 267, 476, 273, 264, 519, 1863, 1648, 585, 519, 2746, 1218, 1590, 581, 2362, 982, 519, 1863, 1648, 540, 519, 2472, 865, 602, 717, 568, 2942, 630, 4944, 2632, 10389, 1070, 476, 274, 264, 519, 2450, 540, 519, 11852, 11064, 630, 24824, 264, 1590, 581, 1459, 267, 543, 5266, 1804, 547, 5815, 513, 3500, 5114, 269, 2659, 4901, 1058, 1448, 856, 891, 3688, 269, 476, 276, 692, 277, 476, 1556, 269, 6333, 519, 5114, 715, 476, 273, 744, 14116, 264, 1341, 476, 273, 295, 476, 273, 744, 10857, 264, 19760, 476, 275, 12971, 476, 274, 630, 338, 264, 693, 476, 29218, 298, 269, 15661, 670, 522, 535, 267, 737, 329, 12387, 910, 272, 590, 522, 535, 267, 808, 12387, 910, 272, 918, 910, 272, 717, 522, 535, 267, 737, 329, 12387, 910, 272, 744, 476, 273, 630, 326, 264, 670, 476, 273, 630, 326, 264, 19760, 476, 275, 12971, 476, 274, 630, 338, 264, 715, 476, 273, 744, 14116, 264, 670, 476, 273, 744, 10857, 264, 670, 476, 273, 744, 14116, 264, 513, 269, 1772, 519, 4464, 5114, 608, 1278, 6193, 610, 1439, 1278, 6193, 286, 670, 522, 678, 343, 333, 815, 670, 522, 535, 267, 19760, 275, 17472, 274, 630, 670, 522, 535, 267, 715, 273, 302, 1341, 476, 273, 670, 522, 535, 267, 327, 273, 334, 264, 670, 522, 678, 343, 333, 815, 737, 329, 630, 11025, 269, 4962, 737, 329, 266, 476, 273, 263, 737, 329, 4297, 670, 522, 678, 343, 333, 815, 1341, 14862, 737, 329, 4595, 670, 522, 568, 2318, 267, 519, 5114, 568, 1439, 1278, 6193, 536, 269, 1548, 568, 519, 1871, 540, 717, 522, 693, 476, 29218, 918, 286, 590, 522, 678, 343, 333, 815, 590, 522, 535, 267, 19760, 275, 17472, 274, 630, 306, 522, 535, 267, 715, 273, 302, 1341, 476, 273, 306, 522, 535, 267, 327, 273, 334, 264, 590, 522, 678, 343, 333, 815, 476, 14681, 269, 272, 297, 270, 298, 630, 25546, 269, 280, 297, 270, 298, 1341, 476, 273, 263, 7597, 269, 11011, 297, 270, 298, 4297, 590, 522, 678, 343, 333, 815, 910, 20385, 808, 270, 298, 717, 522, 678, 343, 333, 815, 670, 522, 678, 343, 333, 910, 570, 590, 522, 678, 343, 333, 815, 1341, 14862, 330, 297, 476, 29218, 298, 263, 271, 269, 20385, 330, 297, 270, 298, 264, 815, 1341, 5908, 737, 329, 524, 269, 6496, 519, 5114, 2049, 31380, 693, 5210, 1657, 476, 29218, 918, 267, 2630, 476, 29218, 918, 267, 1312, 267, 610, 9444, 286, 3807, 1518, 707, 2626, 269, 4595, 670, 522, 678, 343, 333, 568, 2318, 267, 543, 590, 522, 678, 343, 333, 568, 2942, 267, 717, 522, 678, 343, 333, 786, 581, 2318, 693, 782, 5210, 267, 2094, 717, 522, 678, 343, 333, 815, 670, 522, 678, 343, 333, 910, 570, 590, 522, 678, 343, 333, 815, 22791, 264, 22791, 7565, 266, 264, 815, 22791, 264, 7488, 540, 2837, 269, 1924, 267, 519, 5114, 568, 1875, 17898, 2632, 10389, 693, 782, 5210, 269, 476, 277, 692, 278, 25334, 4601, 2422, 995, 6176, 717, 670, 910, 570, 590, 522, 595, 815, 918, 7117, 678, 343, 333, 815, 562, 670, 678, 343, 333, 7117, 815, 26818, 570, 5213, 512, 3548, 519, 5835, 6777, 256, 7117, 5950, 815, 910, 336, 12842, 3281, 895, 631, 6897, 7136, 630, 326, 8276, 565, 264, 3281, 895, 631, 6897, 7136, 630, 326, 8276, 565, 264, 670, 476, 273, 744, 595, 476, 277, 670, 670, 476, 273, 744, 2910, 670, 5141, 715, 476, 273, 670, 670, 19760, 476, 275, 12971, 715, 715, 476, 273, 744, 744, 12971, 1849, 12971, 5141, 7698, 16930, 14333, 27519, 630, 297, 17320, 298, 264, 670, 476, 273, 744, 630, 338, 264, 670, 476, 273, 744, 630, 331, 264, 670, 476, 273, 744, 630, 326, 264, 31626, 4433, 2020, 2162, 9208, 5131, 2037, 25489, 540, 19725, 693, 476, 29218, 918, 269, 19105, 20607, 19837, 27937, 2037, 25489, 693, 476, 29218, 918, 692, 272, 26457, 19392, 1703, 2141, 4667, 547, 581, 693, 2547, 835, 1863, 3210, 2243, 602, 3322, 32721, 269, 1452, 2010, 540, 2243, 849, 1397, 909, 538, 519, 2789, 3903, 2055, 269, 717, 267, 590, 267, 543, 670, 269, 5700, 1018, 692, 2162, 670, 476, 273, 630, 326, 264, 1341, 476, 16006, 744, 476, 273, 630, 326, 264, 670, 476, 273, 744, 10857, 264, 670, 522, 535, 1496, 17472, 14116, 13580, 815, 476, 3445, 269, 273, 737, 329, 8276, 565, 282, 670, 522, 535, 1496, 295, 476, 273, 744, 14116, 13580, 815, 737, 329, 8276, 565, 670, 522, 535, 1496, 26822, 476, 274, 630, 326, 13580, 815, 737, 329, 8276, 565, 282, 670, 522, 535, 1496, 302, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3476, 1020, 606, 17193, 512, 3438, 1996, 519, 1093, 343, 8290, 543, 607, 513, 1267, 723, 1831, 811, 11630, 547, 8290, 899, 10889, 531, 641, 2135, 269, 5274, 3562, 25993, 6771, 814, 711, 1044, 4080, 269, 6660, 6362, 540, 7783, 2831, 568, 835, 540, 519, 2101, 2081, 519, 3644, 568, 3262, 282, 519, 1004, 1034, 693, 1981, 585, 24931, 519, 2068, 616, 14830, 12579, 267, 5144, 7390, 1218, 267, 543, 824, 1004, 538, 2673, 16133, 540, 7783, 2831, 563, 299, 525, 687, 2356, 2049, 593, 519, 751, 1846, 540, 5144, 532, 10889, 14900, 267, 855, 949, 849, 581, 1459, 593, 519, 829, 710, 636, 630, 24992, 606, 639, 543, 5175, 9366, 610, 606, 639, 543, 1085, 8527, 636, 1070, 1063, 519, 12042, 7953, 543, 1472, 519, 4064, 543, 10772, 267, 3226, 540, 29186, 1782, 1608, 1407, 269, 1703, 568, 513, 6093, 11144, 540, 1093, 343, 341, 6400, 3968, 998, 476, 276, 5933, 267, 799, 1331, 5738, 7781, 630, 4565, 3563, 1070, 533, 755, 983, 543, 1085, 629, 5933, 936, 513, 476, 1691, 6377, 1974, 267, 855, 713, 1974, 949, 581, 12675, 676, 8194, 1282, 5144, 532, 543, 676, 6281, 5563, 563, 763, 1576, 540, 519, 4791, 2068, 538, 12418, 568, 711, 607, 1279, 734, 17141, 1447, 982, 5722, 2395, 282, 713, 5618, 8653, 540, 519, 2068, 568, 7654, 1644, 547, 1732, 12046, 1813, 547, 3105, 3968, 609, 10800, 21479, 341, 6400, 267, 799, 568, 849, 606, 9647, 641, 2135, 341, 6400, 563, 28536, 2670, 568, 1500, 676, 11287, 519, 4791, 4191, 543, 6093, 533, 1442, 6438, 2960, 15087, 543, 676, 8047, 21533, 540, 519, 3644, 563, 268, 8609, 476, 272, 910, 18528, 2224, 25017, 593, 519, 2960, 3248, 268, 8609, 476, 273, 1700, 14466, 983, 3942, 630, 324, 4582, 730, 2182, 2127, 593, 2960, 11850, 268, 8609, 476, 274, 1107, 571, 2213, 2127, 1831, 28338, 3248, 268, 8609, 476, 275, 1107, 623, 755, 983, 3942, 630, 16476, 5250, 11850, 268, 8609, 476, 276, 1107, 12933, 610, 1085, 629, 5250, 454, 763, 3644, 568, 9286, 538, 519, 1920, 1093, 343, 341, 597, 13160, 896, 519, 12593, 13106, 641, 2135, 269, 12207, 616, 1869, 3181, 908, 2436, 621, 568, 513, 10889, 14900, 14194, 2194, 539, 3945, 27091, 3644, 630, 13678, 1791, 547, 10800, 21479, 602, 729, 1031, 676, 11977, 23514, 1676, 538, 476, 9692, 279, 585, 12674, 1996, 1480, 31847, 264, 610, 606, 3312, 3644, 563, 289, 4428, 531, 641, 2135, 3644, 666, 581, 3262, 538, 1896, 2081, 269, 25124, 568, 1419, 5645, 689, 3662, 547, 3662, 998, 2673, 3346, 609, 15087, 267, 543, 849, 676, 13572, 5144, 619, 685, 3946, 267, 5144, 532, 6191, 630, 974, 520, 7484, 264, 543, 7344, 6771, 676, 24146, 13733, 971, 607, 5070, 13733, 543, 4571, 2471, 563, 306, 1122, 2958, 908, 4299, 2831, 630, 663, 1022, 602, 723, 1044, 538, 3346, 609, 873, 264, 689, 15151, 2635, 2831, 666, 948, 2061, 3262, 540, 713, 2068, 269, 901, 849, 1797, 1210, 5094, 12417, 585, 5144, 532, 519, 7783, 2831, 267, 609, 5094, 7390, 1218, 563, 8196, 540, 751, 520, 546, 2354, 543, 1884, 1047, 10364, 2603, 542, 666, 948, 267, 543, 1022, 1093, 343, 15087, 666, 581, 19345, 609, 11379, 7989, 22462, 622, 547, 30737, 10675, 519, 3644, 543, 948, 1832, 621, 689, 10825, 563, 2467, 568, 1100, 2126, 602, 786, 948, 519, 3662, 7753, 519, 3644, 1022, 5488, 630, 1492, 2068, 568, 1582, 29438, 1746, 282, 519, 3662, 31380, 973, 13569, 1310, 513, 1978, 3259, 540, 942, 264, 855, 22521, 3498, 540, 1884, 1047, 10364, 522, 842, 618, 899, 536, 7595, 3679, 610, 3376, 8552, 15084, 522, 842, 618, 593, 15087, 666, 948, 1225, 18571, 6281, 9190, 3968, 269, 0, 8923, 946, 713, 32165, 547, 13712, 610, 3095, 547, 713, 6221, 912, 347, 17138, 10573, 313, 3266, 5937, 7645, 12539, 15089, 739, 23461, 585, 8111, 5115, 659, 6002, 2008, 289, 1002, 267, 645, 1228, 330, 2967, 10548, 778, 18588, 454, 347, 20082, 10573, 763, 13829, 540, 10340, 593, 1648, 568, 6385, 2810, 607, 519, 5756, 1780, 676, 269, 634, 1158, 568, 1631, 20678, 547, 1265, 1007, 2959, 547, 10244, 1648, 547, 2743, 713, 2479, 2987, 920, 2084, 3747, 269, 901, 3747, 12987, 1382, 593, 1648, 5108, 543, 267, 811, 11932, 267, 593, 1648, 4859, 3457, 269, 634, 8545, 814, 513, 1164, 3747, 19962, 547, 519, 22820, 538, 519, 946, 540, 2123, 543, 15409, 5907, 3457, 269, 645, 2660, 625, 723, 1044, 23695, 547, 713, 10421, 585, 3833, 930, 942, 1631, 269, 8111, 5115, 659, 6002, 616, 519, 14232, 1648, 13936, 3457, 602, 666, 5372, 9075, 1813, 547, 741, 2362, 1379, 3977, 543, 3728, 22507, 630, 310, 5793, 543, 7935, 9536, 476, 1220, 275, 1040, 589, 2706, 5115, 659, 3218, 610, 606, 6850, 23755, 19218, 568, 513, 2241, 3926, 602, 666, 4558, 5279, 693, 519, 8818, 540, 606, 19650, 543, 606, 23386, 630, 298, 7238, 16379, 543, 2961, 6352, 476, 1220, 271, 267, 17793, 1188, 578, 328, 752, 543, 645, 2946, 7666, 514, 476, 1220, 272, 1040, 1358, 616, 2808, 547, 581, 25368, 936, 9075, 1813, 547, 741, 1360, 1164, 1808, 31887, 267, 1164, 1379, 5860, 267, 5826, 6954, 4238, 267, 1100, 3965, 1198, 267, 543, 26378, 883, 519, 7372, 20704, 1063, 519, 1379, 20589, 3017, 1063, 29522, 543, 9075, 8198, 347, 20373, 10573, 9349, 3184, 538, 513, 1433, 5651, 874, 1108, 5071, 21537, 25125, 585, 8111, 5115, 659, 6002, 12995, 676, 769, 600, 3291, 514, 267, 14076, 2658, 645, 15957, 3121, 267, 15011, 13758, 10787, 1794, 13259, 1067, 267, 19869, 31608, 15011, 3139, 1306, 21105, 8198, 347, 7343, 8986, 538, 26888, 10573, 274, 269, 3883, 30667, 2008, 2005, 2114, 538, 667, 22129, 616, 6870, 676, 10677, 267, 609, 782, 2924, 11603, 267, 8259, 6382, 8612, 269, 0, 268, 476, 2641, 20042, 454, 29820, 1715, 12064, 267, 7137, 802, 10921, 267, 4789, 267, 476, 2764, 4989, 476, 10082, 275, 454, 291, 1221, 5507, 267, 4789, 267, 476, 1789, 4864, 476, 7277, 275, 454, 7212, 646, 568, 1732, 1634, 585, 1010, 10916, 540, 519, 3859, 24256, 7613, 1631, 1634, 607, 645, 2905, 781, 19273, 267, 14731, 645, 2905, 781, 1034, 1271, 7418, 547, 17651, 1331, 1010, 973, 558, 1584, 566, 543, 14081, 566, 540, 1271, 5182, 22331, 9233, 267, 543, 1010, 8990, 540, 519, 14248, 328, 10364, 640, 543, 5860, 540, 519, 3047, 563, 6524, 7432, 1010, 5763, 547, 1010, 1719, 538, 17651, 267, 645, 2905, 1185, 1082, 9035, 269, 634, 3791, 5067, 540, 4871, 518, 9400, 645, 2905, 267, 646, 1185, 1044, 22961, 5367, 547, 513, 5507, 24271, 656, 850, 6109, 693, 519, 2085, 540, 476, 1691, 269, 1809, 676, 519, 2085, 540, 476, 2641, 267, 950, 646, 1185, 6192, 1010, 29095, 1222, 267, 645, 2905, 1185, 3079, 4956, 593, 513, 4876, 607, 606, 24413, 269, 769, 5239, 476, 9692, 276, 267, 645, 2905, 30774, 547, 519, 2136, 2276, 267, 1141, 1010, 32249, 1648, 5645, 1864, 998, 476, 273, 1296, 540, 3408, 2059, 519, 11882, 543, 14967, 8933, 689, 29016, 267, 12425, 267, 547, 1715, 20252, 267, 17039, 269, 1261, 8120, 547, 1715, 3840, 4975, 936, 1633, 998, 519, 27726, 1394, 13001, 6229, 338, 2127, 269, 589, 2483, 268, 1323, 517, 269, 630, 6977, 275, 1040, 968, 18693, 7240, 4063, 1848, 6490, 7546, 338, 540, 519, 9576, 13562, 13929, 5980, 476, 2537, 281, 476, 10037, 1700, 10695, 32155, 10104, 454, 268, 645, 2905, 267, 14731, 630, 8146, 276, 1040, 1323, 10055, 540, 519, 4860, 323, 269, 3627, 4469, 600, 560, 3975, 269, 630, 11847, 11781, 267, 5507, 281, 29861, 5459, 267, 476, 3422, 277, 4700, 11386, 10104, 454, 268, 2443, 17147, 630, 8146, 279, 1040, 968, 4002, 513, 3816, 1046, 762, 26263, 1580, 320, 602, 4386, 538, 11192, 543, 7788, 983, 661, 743, 2354, 525, 540, 519, 6129, 1848, 6490, 7546, 338, 540, 519, 9576, 13562, 13929, 5980, 476, 1015, 281, 476, 272, 1700, 5655, 32155, 10104, 454, 268, 2443, 17147, 630, 7277, 277, 1040, 968, 5278, 24616, 593, 513, 11192, 661, 743, 15199, 540, 519, 6129, 267, 593, 5147, 476, 279, 628, 267, 476, 7277, 273, 1848, 6490, 7546, 338, 540, 519, 9576, 13562, 13929, 5980, 476, 1428, 281, 476, 272, 1700, 279, 32155, 10104, 454, 268, 1849, 518, 651, 267, 3397, 5886, 631, 269, 630, 4572, 272, 1700, 4572, 273, 1040, 968, 293, 3757, 30241, 645, 2905, 1848, 769, 9218, 540, 2817, 22335, 267, 12995, 676, 11184, 15776, 12340, 15537, 543, 11184, 28788, 2284, 10557, 269, 5292, 269, 476, 272, 267, 6032, 269, 476, 279, 4200, 1700, 3445, 275, 269, 5507, 281, 10228, 2160, 4964, 32155, 10104, 0, 25215, 1180, 547, 519, 1079, 1053, 454, 25215, 1180, 547, 519, 1079, 1053, 2630, 912, 272, 270, 1556, 270, 2420, 267, 476, 276, 281, 2412, 6751, 454, 763, 3069, 602, 594, 1589, 1655, 6257, 6469, 5208, 568, 519, 3213, 2075, 633, 6513, 7869, 269, 3213, 2075, 633, 6513, 568, 513, 3126, 540, 3527, 602, 3635, 9013, 2623, 538, 606, 15982, 7649, 2078, 269, 2368, 540, 891, 3527, 949, 2874, 540, 5464, 513, 4891, 3527, 2228, 543, 538, 2123, 17052, 267, 28142, 1569, 547, 2724, 610, 14145, 1516, 513, 7649, 540, 2883, 5191, 267, 610, 1210, 10130, 610, 1453, 607, 513, 3046, 18146, 13863, 269, 1452, 3527, 949, 15583, 622, 883, 2168, 6057, 2663, 593, 563, 3080, 2460, 540, 519, 3069, 602, 2337, 2491, 6469, 6057, 568, 602, 2576, 945, 15225, 891, 2010, 540, 2623, 2509, 741, 7649, 568, 2356, 538, 31261, 538, 835, 610, 811, 3344, 540, 741, 2729, 269, 1358, 8858, 9013, 2623, 538, 606, 3801, 547, 22919, 610, 2744, 1852, 540, 519, 2078, 563, 5194, 2460, 568, 602, 713, 1826, 540, 29880, 2623, 568, 811, 1419, 4810, 676, 2021, 269, 6904, 949, 849, 581, 513, 16950, 538, 519, 3069, 267, 11021, 2367, 798, 711, 1419, 1995, 28170, 633, 1852, 6057, 538, 8887, 24926, 976, 4721, 563, 272, 270, 1556, 270, 2420, 267, 476, 1015, 281, 876, 6751, 454, 12892, 6513, 7869, 454, 12892, 1852, 6436, 616, 519, 4296, 1063, 1920, 267, 1153, 267, 543, 824, 3344, 540, 2486, 602, 8309, 547, 32623, 7949, 2623, 630, 14399, 10993, 1040, 594, 5697, 713, 3069, 1317, 594, 1589, 713, 2623, 568, 2938, 689, 1346, 14191, 547, 519, 3283, 602, 4159, 6469, 5208, 269, 23299, 547, 2870, 7554, 543, 3715, 3347, 666, 1711, 8082, 563, 10521, 3344, 602, 616, 1271, 616, 8220, 609, 1866, 538, 543, 3544, 540, 519, 1920, 269, 8758, 618, 547, 10115, 1648, 543, 942, 883, 2238, 602, 616, 11791, 563, 10521, 1761, 20924, 538, 713, 3069, 616, 513, 3668, 540, 1582, 20820, 543, 519, 2956, 593, 2679, 7554, 609, 1866, 269, 0, 14946, 2947, 2959, 883, 606, 23064, 15853, 563, 14946, 2947, 2959, 883, 606, 23064, 15853, 269, 1358, 616, 11231, 538, 9904, 673, 1931, 2687, 547, 519, 2278, 779, 2063, 2012, 269, 634, 14391, 725, 616, 5618, 1784, 686, 328, 6877, 543, 20241, 540, 519, 1367, 4930, 267, 2835, 267, 11271, 267, 610, 6054, 602, 596, 1224, 269, 3962, 14391, 566, 1058, 711, 581, 811, 982, 476, 5611, 1913, 267, 610, 5111, 835, 5037, 269, 1323, 23064, 15853, 3340, 596, 547, 17412, 1950, 4930, 538, 513, 1906, 13151, 3307, 3515, 563, 4338, 288, 476, 277, 628, 7160, 454, 2252, 2009, 991, 2959, 689, 1401, 26118, 1640, 5399, 0, 292, 2202, 593, 13638, 9307, 922, 28661, 7302, 2084, 5692, 14472, 24297, 1131, 581, 6905, 2394, 5181, 476, 1001, 277, 543, 949, 1439, 609, 519, 12955, 11299, 1222, 15700, 1524, 593, 519, 28661, 547, 581, 22653, 1243, 609, 922, 6263, 2244, 518, 563, 10527, 7045, 5170, 2223, 519, 3864, 6611, 10837, 630, 2464, 288, 264, 9307, 269, 968, 2464, 288, 779, 3163, 19510, 9730, 814, 2016, 6101, 13170, 547, 3136, 519, 5692, 585, 606, 3606, 8370, 3275, 3034, 1103, 513, 3803, 21707, 547, 519, 8978, 5692, 267, 519, 14472, 24297, 14361, 949, 581, 968, 1633, 539, 892, 593, 1290, 564, 476, 6858, 303, 270, 2419, 1722, 636, 990, 8566, 10327, 11948, 14150, 267, 519, 8116, 1767, 563, 305, 657, 24297, 3976, 1131, 556, 21860, 922, 31139, 267, 519, 8773, 2978, 5845, 2801, 267, 799, 621, 814, 10114, 3293, 2429, 606, 27356, 8124, 17364, 17542, 540, 21240, 563, 14881, 949, 1205, 547, 13649, 593, 519, 2627, 540, 476, 6858, 303, 693, 1439, 540, 1250, 5692, 2223, 519, 11299, 1222, 17408, 9643, 269, 968, 3719, 1101, 594, 723, 513, 2603, 540, 3078, 1007, 2257, 547, 798, 909, 1934, 3034, 17442, 684, 3481, 538, 476, 1220, 275, 267, 519, 5692, 814, 1044, 3365, 7596, 539, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2352, 585, 873, 269, 634, 5520, 723, 4080, 602, 741, 2078, 609, 741, 1463, 6887, 543, 17034, 5718, 814, 711, 1044, 2653, 269, 1717, 267, 789, 1705, 1867, 513, 8853, 538, 5647, 899, 2054, 673, 3206, 267, 3981, 532, 5499, 2093, 267, 543, 5698, 609, 1866, 269, 6969, 519, 27649, 6855, 267, 5717, 593, 519, 2104, 540, 960, 3734, 941, 1419, 20402, 543, 15458, 269, 634, 27649, 6855, 7142, 2043, 685, 3664, 267, 543, 519, 1158, 9862, 547, 2324, 689, 1753, 269, 898, 814, 1831, 811, 2442, 543, 811, 1316, 2213, 563, 22998, 689, 1753, 3340, 513, 1689, 538, 519, 2078, 1063, 16108, 543, 9441, 269, 634, 7681, 568, 267, 2705, 267, 1869, 1759, 593, 8994, 9021, 269, 1358, 3251, 519, 1482, 1256, 952, 519, 9441, 1568, 689, 1753, 269, 634, 16108, 568, 3743, 585, 519, 960, 1072, 267, 3106, 267, 543, 4853, 1894, 547, 2327, 602, 519, 9441, 666, 960, 693, 1753, 9108, 543, 3382, 519, 3617, 2200, 269, 634, 16108, 814, 519, 3656, 5539, 540, 12391, 585, 519, 3106, 543, 1072, 540, 5520, 607, 1279, 607, 621, 568, 513, 10257, 2259, 630, 295, 1245, 523, 267, 476, 1708, 272, 267, 533, 269, 272, 1040, 634, 5539, 540, 1416, 11498, 547, 1022, 1747, 1141, 519, 960, 568, 5340, 267, 1256, 693, 1753, 269, 1403, 519, 9441, 568, 2324, 689, 1753, 267, 519, 16108, 568, 3743, 585, 4180, 602, 2324, 689, 1753, 1281, 711, 21279, 519, 9441, 779, 1072, 543, 3106, 269, 11879, 1981, 10526, 1590, 581, 5645, 856, 1759, 593, 519, 2238, 540, 519, 5520, 563, 763, 16108, 1058, 1683, 519, 9441, 609, 513, 2922, 2324, 2230, 1863, 689, 2468, 6137, 10898, 899, 15791, 543, 678, 13903, 269, 901, 4922, 2922, 1604, 2882, 8673, 32302, 267, 606, 14827, 267, 513, 1101, 5351, 6539, 267, 543, 3617, 14910, 543, 8654, 269, 634, 16108, 1058, 1683, 4170, 899, 513, 2462, 2614, 11380, 585, 4247, 267, 513, 10856, 543, 6049, 1369, 3914, 267, 513, 11381, 602, 4188, 338, 267, 543, 513, 2780, 5496, 269, 634, 16108, 849, 814, 519, 5539, 547, 2628, 585, 519, 960, 2944, 896, 11731, 543, 3919, 11650, 269, 634, 16108, 1058, 849, 581, 3743, 585, 3246, 519, 9441, 609, 519, 2877, 2200, 547, 960, 269, 898, 1522, 1331, 513, 2780, 609, 1949, 547, 1569, 543, 2149, 960, 6119, 513, 1357, 31748, 269, 898, 949, 2874, 540, 513, 15291, 609, 2994, 602, 1569, 543, 2149, 960, 6119, 267, 513, 1357, 31748, 267, 2212, 3553, 267, 3308, 2360, 3301, 267, 543, 5691, 5870, 3301, 563, 763, 16108, 849, 814, 519, 22466, 17185, 547, 32479, 519, 9441, 585, 741, 9276, 1247, 2324, 693, 1753, 267, 899, 4950, 1569, 610, 5201, 269, 634, 5539, 585, 1201, 27448, 666, 581, 7074, 538, 513, 2754, 4579, 610, 2324, 689, 1753, 3609, 269, 1717, 267, 711, 782, 3906, 723, 4579, 2854, 1303, 1856, 906, 547, 891, 13800, 269, 634, 16108, 1522, 991, 547, 3715, 609, 519, 9441, 1018, 3790, 547, 581, 1201, 24962, 267, 519, 1237, 10094, 2838, 267, 543, 519, 7182, 4019, 269, 1403, 519, 16108, 1281, 711, 32479, 519, 4881, 9276, 267, 519, 9441, 666, 3409, 960, 5829, 3790, 602, 1331, 519, 9276, 540, 513, 6131, 960, 3148, 899, 3454, 17429, 2388, 563, 763, 16108, 568, 3743, 585, 4180, 602, 519, 7694, 11731, 616, 5219, 547, 950, 7234, 606, 27327, 538, 960, 6381, 269, 2353, 519, 2242, 1500, 1058, 581, 2944, 538, 1603, 543, 8815, 2390, 676, 1312, 6105, 267, 543, 782, 519, 4507, 1058, 581, 3015, 676, 5520, 630, 295, 1245, 523, 267, 476, 1708, 272, 267, 533, 269, 272, 1040, 1403, 519, 7694, 4579, 4967, 1524, 519, 1747, 540, 960, 607, 519, 5604, 543, 1281, 711, 2446, 2324, 689, 1753, 267, 621, 568, 519, 16108, 779, 5539, 547, 9337, 621, 269, 1403, 621, 568, 711, 1930, 538, 519, 4579, 547, 1450, 2324, 689, 1753, 267, 1287, 513, 8390, 1058, 581, 1500, 2614, 585, 519, 2324, 1753, 3609, 547, 3382, 519, 16108, 543, 9441, 269, 1403, 606, 16108, 16858, 547, 2569, 519, 9441, 779, 14057, 952, 789, 616, 2324, 689, 1753, 267, 519, 16108, 666, 798, 621, 952, 621, 568, 538, 519, 4579, 269, 1809, 952, 621, 568, 711, 538, 519, 9441, 4579, 267, 1312, 519, 16108, 543, 9441, 1590, 3858, 593, 519, 2339, 563, 763, 16108, 568, 3743, 585, 782, 519, 14804, 543, 2123, 1239, 602, 1522, 581, 9268, 610, 6854, 693, 519, 9441, 779, 1753, 267, 1519, 741, 6049, 610, 2780, 610, 3457, 269, 901, 568, 1898, 952, 519, 5520, 616, 7829, 824, 1004, 779, 1239, 693, 519, 2816, 269, 31740, 1058, 723, 7453, 1239, 2853, 543, 4507, 538, 1747, 543, 1058, 798, 3388, 789, 666, 547, 2327, 789, 616, 8036, 543, 616, 705, 4575, 676, 713, 563, 763, 16108, 9727, 513, 4110, 540, 3972, 676, 3850, 519, 9441, 547, 960, 689, 1753, 1317, 972, 786, 581, 1100, 15569, 269, 898, 568, 519, 9441, 779, 5539, 547, 798, 519, 1318, 3364, 1510, 1022, 1463, 15569, 267, 1739, 519, 1482, 2853, 607, 519, 16108, 26770, 269, 2353, 9441, 13800, 689, 519, 9036, 3136, 547, 7500, 267, 971, 607, 735, 2391, 609, 3656, 4808, 543, 2324, 547, 519, 1655, 540, 741, 2702, 269, 634, 5520, 849, 723, 519, 5539, 540, 2921, 1416, 540, 741, 3106, 543, 1072, 693, 960, 269, 634, 9441, 1058, 1832, 538, 3586, 3346, 609, 519, 16108, 269, 1358, 1058, 849, 2995, 519, 16108, 827, 1022, 2790, 610, 2168, 1072, 543, 3106, 4220, 543, 1022, 2324, 11460, 602, 2115, 27327, 1317, 540, 519, 12391, 9021, 269, 1703, 1058, 581, 3346, 2792, 1063, 519, 16108, 543, 9441, 543, 2324, 1927, 547, 1265, 3435, 563, 22428, 519, 9441, 2115, 547, 979, 1394, 547, 960, 693, 519, 5604, 855, 27422, 547, 1869, 960, 689, 1753, 269, 769, 602, 2013, 267, 789, 666, 7662, 606, 13393, 689, 1753, 1310, 476, 2918, 4374, 540, 1373, 6964, 267, 855, 519, 16108, 568, 519, 835, 547, 6430, 2436, 547, 3858, 547, 621, 610, 711, 267, 4470, 593, 519, 2115, 540, 519, 1870, 630, 295, 1245, 523, 267, 476, 1708, 272, 267, 533, 269, 272, 1040, 1717, 267, 621, 568, 519, 9441, 779, 5539, 547, 2322, 513, 1870, 2013, 4464, 11021, 519, 24534, 3681, 602, 2324, 689, 1753, 1223, 723, 269, 634, 16108, 568, 896, 513, 3656, 10279, 547, 2743, 609, 519, 9441, 547, 2015, 741, 7662, 1369, 476, 2764, 2395, 269, 3973, 519, 16108, 1590, 3494, 621, 543, 6430, 1369, 476, 1691, 2395, 540, 519, 5870, 630, 295, 1245, 523, 267, 476, 1708, 272, 267, 533, 269, 272, 1916, 763, 8628, 1689, 547, 960, 6208, 538, 519, 1753, 814, 930, 1808, 4145, 269, 898, 3322, 2324, 689, 1753, 547, 1291, 547, 811, 7607, 267, 610, 1447, 7607, 267, 6028, 513, 811, 610, 1447, 2565, 3327, 11640, 269, 901, 5673, 593, 519, 1808, 2409, 1031, 538, 519, 1007, 16108, 543, 9441, 2853, 602, 789, 1831, 26224, 547, 936, 942, 607, 1007, 4507, 267, 4808, 267, 543, 3652, 616, 3964, 267, 7318, 267, 543, 4957, 269, 634, 1034, 2565, 24040, 2360, 949, 581, 1713, 1514, 2242, 602, 960, 547, 2014, 6469, 28735, 936, 519, 1279, 2165, 269, 22732, 532, 689, 5604, 547, 960, 693, 1753, 666, 13497, 1689, 2486, 519, 1259, 2324, 689, 519, 5604, 4547, 827, 20012, 563, 2467, 616, 513, 2603, 540, 5683, 4145, 602, 8451, 950, 519, 2339, 540, 2324, 689, 1753, 2501, 909, 269, 2201, 519, 835, 1688, 267, 2348, 811, 5520, 2324, 689, 1753, 2864, 982, 1169, 1554, 1522, 2569, 10825, 3676, 538, 519, 9036, 267, 2523, 952, 621, 568, 513, 2110, 21409, 3845, 269, 26805, 2168, 954, 28947, 538, 519, 5604, 2861, 9036, 267, 2687, 547, 2090, 267, 24024, 2175, 543, 3976, 10607, 7607, 269, 769, 1840, 267, 7864, 5520, 2469, 547, 960, 1797, 1447, 2951, 267, 9494, 4600, 5215, 540, 9489, 513, 1032, 269, 4746, 267, 14887, 3350, 1797, 5634, 3441, 547, 1102, 2858, 23461, 971, 607, 28565, 543, 9897, 543, 4389, 6808, 20316, 538, 4683, 2127, 269, 898, 2337, 1317, 519, 1007, 5989, 4566, 723, 513, 1966, 2810, 6808, 20316, 269, 4746, 267, 891, 2010, 540, 2242, 666, 948, 609, 2916, 1689, 1317, 1454, 540, 519, 8511, 5434, 2097, 689, 3560, 2326, 563, 4002, 519, 824, 1688, 267, 2324, 689, 1753, 666, 581, 5393, 5906, 538, 519, 4365, 269, 589, 1353, 538, 519, 2136, 8003, 6700, 602, 2324, 689, 1753, 1522, 581, 5363, 538, 519, 4832, 269, 3194, 814, 1336, 602, 2825, 2188, 949, 581, 2362, 1282, 519, 5162, 1813, 547, 519, 991, 547, 3002, 513, 2582, 6198, 5604, 2679, 630, 306, 20488, 267, 476, 1708, 271, 267, 533, 269, 272, 1040, 4746, 267, 2324, 689, 1753, 949, 711, 581, 2635, 269, 1280, 1383, 267, 519, 2856, 540, 513, 7210, 1554, 568, 5702, 1644, 547, 2469, 547, 519, 5604, 269, 1703, 568, 513, 31112, 547, 1205, 7759, 540, 519, 1523, 540, 513, 7210, 1554, 1317, 519, 2898, 1448, 540, 513, 7210, 1554, 568, 547, 3251, 1753, 543, 2057, 3478, 7210, 9164, 269, 1717, 267, 1256, 952, 519, 9441, 568, 2324, 689, 1753, 267, 646, 1869, 2115, 547, 1964, 269, 5525, 723, 3254, 602, 1004, 945, 960, 689, 1753, 1419, 960, 1282, 4576, 267, 799, 4679, 741, 6051, 942, 267, 3056, 547, 9854, 543, 1447, 7607, 269, 4746, 267, 972, 568, 519, 7872, 602, 26399, 2324, 689, 1753, 543, 11544, 519, 16889, 1747, 609, 519, 9036, 5012, 547, 25794, 540, 519, 5520, 269, 898, 1223, 1860, 543, 1291, 547, 2799, 2790, 1072, 2152, 538, 960, 2127, 1247, 1818, 519, 5520, 811, 9308, 694, 7672, 689, 741, 8284, 5520, 563, 5194, 1761, 2942, 3310, 568, 519, 16108, 15041, 1943, 2465, 2078, 269, 1280, 1383, 267, 2324, 689, 1753, 2636, 5520, 547, 2661, 538, 2127, 1141, 519, 1942, 540, 2713, 568, 14949, 269, 898, 1223, 1611, 513, 5786, 538, 13848, 607, 519, 1870, 786, 723, 811, 5520, 547, 3442, 689, 267, 3976, 3246, 2539, 8013, 13848, 538, 2127, 1141, 2713, 3790, 616, 14949, 269, 898, 1797, 602, 2816, 3406, 786, 581, 811, 8013, 543, 2539, 13848, 269, 634, 6521, 849, 1797, 602, 519, 16108, 786, 581, 2111, 547, 29875, 519, 9441, 779, 7834, 269, 11554, 689, 1753, 1797, 602, 12820, 3950, 1753, 2861, 5520, 547, 2327, 7607, 609, 3301, 602, 666, 3950, 782, 29921, 4408, 267, 15870, 4087, 267, 543, 3006, 513, 2780, 8254, 630, 306, 20488, 267, 476, 1708, 271, 267, 533, 269, 272, 1040, 769, 930, 2665, 267, 891, 2934, 616, 13087, 1510, 519, 9441, 779, 1702, 269, 901, 1152, 12651, 519, 1279, 29280, 6161, 540, 7834, 3741, 538, 519, 5106, 540, 6469, 3347, 563, 1103, 1840, 267, 621, 568, 1898, 547, 4063, 602, 15175, 547, 1753, 2861, 960, 593, 513, 1804, 4336, 666, 723, 513, 2942, 1764, 593, 1114, 2950, 543, 1114, 9922, 540, 7694, 630, 306, 20488, 267, 476, 1708, 271, 267, 533, 269, 272, 1040, 10815, 7249, 6479, 2127, 949, 11411, 519, 3028, 5823, 609, 960, 269, 11272, 2103, 543, 726, 13246, 3112, 960, 689, 1753, 267, 10834, 602, 930, 6080, 616, 711, 2111, 547, 1118, 602, 1689, 269, 634, 3028, 6080, 616, 1419, 5302, 27935, 676, 4008, 543, 5198, 267, 3976, 4180, 602, 1022, 3255, 585, 1753, 2861, 7694, 616, 711, 3838, 8449, 269, 4746, 267, 621, 1797, 602, 17522, 538, 519, 2872, 1813, 547, 2242, 538, 519, 960, 6208, 540, 1866, 666, 581, 5433, 593, 513, 1804, 4336, 563, 2691, 5520, 960, 689, 1753, 267, 621, 1522, 581, 811, 4101, 547, 1305, 909, 7850, 8060, 547, 2061, 12611, 269, 634, 16108, 814, 547, 1589, 998, 12319, 540, 875, 547, 1397, 2789, 5520, 616, 3238, 538, 1818, 3664, 547, 1852, 519, 7482, 269, 634, 13170, 540, 7482, 1590, 581, 9738, 998, 4757, 267, 3301, 267, 610, 10004, 6835, 269, 5047, 267, 930, 540, 519, 5520, 1522, 3479, 13180, 12611, 269, 1306, 811, 5520, 960, 689, 1753, 267, 621, 666, 581, 811, 4101, 547, 3313, 952, 606, 4576, 610, 5945, 8813, 896, 741, 13180, 269, 634, 16108, 666, 11574, 519, 1981, 540, 2068, 610, 3441, 602, 568, 960, 5829, 676, 6998, 519, 9441, 547, 4766, 610, 1491, 513, 4605, 540, 741, 960, 1604, 267, 8716, 873, 547, 2259, 2635, 6208, 899, 2921, 9397, 267, 543, 2348, 873, 3858, 538, 1603, 602, 519, 1604, 789, 960, 538, 10742, 519, 2754, 779, 3354, 543, 3106, 4170, 563, 13010, 267, 2029, 814, 4359, 547, 519, 6708, 602, 2792, 543, 5698, 666, 1489, 2324, 689, 1753, 269, 1717, 267, 2029, 3112, 3927, 4308, 609, 519, 1292, 7687, 540, 2324, 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 ]
[ 476, 275, 476, 275, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 279, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 15094, 3607, 279, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 15782, 1839, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 21497, 5379, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 274, 4200, 269, 24062, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 278, 269, 6110, 1321, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 14689, 267, 4510, 274, 666, 581, 5258, 676, 476, 279, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 279, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 14689, 267, 4510, 274, 264, 568, 476, 15094, 267, 3607, 279, 267, 519, 3328, 568, 476, 2641, 267, 276, 5379, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 14689, 4510, 274, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 16409, 280, 4510, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 3393, 280, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 13970, 9834, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 16409, 267, 280, 4510, 2318, 9981, 630, 1652, 982, 476, 14689, 267, 4510, 274, 264, 602, 616, 2941, 31870, 609, 476, 14689, 267, 4510, 274, 269, 1656, 972, 616, 5111, 476, 1691, 267, 6795, 277, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 14689, 267, 4510, 274, 780, 1012, 6555, 529, 2225, 540, 476, 14689, 4510, 274, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 273, 476, 274, 476, 274, 476, 276, 476, 275, 476, 274, 476, 279, 692, 14689, 267, 4510, 274, 568, 711, 16883, 676, 1022, 1297, 1447, 982, 610, 3160, 547, 476, 280, 780, 1012, 19032, 540, 476, 14689, 4510, 274, 692, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 12384, 5131, 692, 2162, 4033, 2338, 692, 1892, 12359, 553, 290, 1301, 19376, 454, 1892, 1975, 1156, 545, 692, 1012, 12476, 7503, 630, 14689, 4510, 274, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 8099, 9340, 18733, 18089, 18733, 454, 274, 570, 1716, 776, 476, 13136, 28873, 18089, 2420, 454, 275, 2372, 15715, 776, 476, 18891, 26825, 9818, 454, 276, 2372, 2435, 476, 1001, 16573, 3451, 454, 277, 7354, 776, 476, 26825, 22650, 276, 454, 279, 4239, 531, 476, 5379, 278, 26825, 454, 1015, 27252, 476, 14689, 4510, 274, 454, 1321, 13660, 1712, 31565, 476, 4281, 274, 273, 321, 454, 736, 966, 580, 525, 2711, 795, 545, 274, 454, 3607, 12476, 3607, 476, 274, 325, 271, 345, 692, 1012, 9978, 9273, 630, 333, 815, 476, 14689, 4510, 274, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 28760, 6434, 277, 476, 275, 4281, 31696, 476, 277, 4391, 6507, 273, 476, 8064, 278, 21497, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 8064, 278, 2641, 269, 276, 476, 276, 4029, 5325, 269, 278, 476, 4375, 279, 2568, 269, 279, 476, 28760, 6434, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 22724, 13136, 3583, 273, 5392, 476, 28147, 29876, 14625, 6858, 272, 9873, 278, 476, 5038, 277, 27005, 277, 4649, 278, 3393, 271, 3445, 280, 2420, 9826, 476, 9818, 271, 3393, 5400, 277, 271, 3607, 280, 5038, 276, 4029, 9262, 277, 2568, 276, 4510, 274, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 274, 4200, 269, 24062, 476, 7918, 269, 18597, 274, 476, 866, 269, 7176, 273, 277, 476, 1015, 269, 280, 6507, 280, 692, 1012, 476, 14689, 4510, 274, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 28760, 6434, 277, 476, 272, 269, 9826, 10037, 324, 266, 6187, 476, 278, 269, 7176, 277, 6812, 324, 266, 1015, 692, 2162, 1975, 1877, 692, 11730, 476, 272, 269, 7597, 278, 9262, 324, 266, 1626, 476, 274, 269, 3707, 8287, 324, 266, 1556, 476, 272, 269, 9826, 10037, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 277, 4391, 6507, 273, 476, 273, 269, 276, 5655, 2641, 324, 266, 1015, 476, 18597, 4366, 277, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 30589, 3953, 324, 266, 1556, 476, 275, 269, 4962, 274, 4391, 324, 266, 1428, 476, 28510, 14321, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 275, 4281, 31696, 476, 272, 269, 1911, 10037, 324, 266, 1015, 476, 15946, 5400, 273, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 275, 269, 29889, 2537, 324, 266, 1015, 476, 275, 269, 6507, 277, 11463, 324, 266, 1691, 476, 9873, 6977, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 21172, 276, 324, 27888, 324, 279, 629, 26552, 5392, 272, 324, 277, 322, 277, 4037, 323, 29900, 274, 7251, 272, 476, 28307, 325, 322, 25134, 26501, 5881, 275, 31275, 325, 6924, 325, 280, 320, 274, 325, 277, 3393, 1815, 12711, 275, 320, 273, 325, 280, 324, 272, 9346, 476, 7830, 325, 273, 4206, 10844, 325, 272, 323, 2420, 325, 5379, 279, 876, 22396, 279, 2190, 2378, 576, 280, 323, 4097, 324, 5952, 273, 323, 7251, 4792, 322, 32699, 276, 2378, 271, 325, 323, 5038, 320, 539, 14028, 323, 6767, 278, 325, 476, 2004, 274, 3707, 322, 278, 7176, 4037, 274, 274, 321, 24129, 275, 325, 275, 320, 4962, 20660, 275, 25900, 274, 322, 273, 321, 275, 4817, 323, 4817, 273, 322, 277, 1691, 278, 325, 5881, 9536, 274, 324, 6349, 325, 1240, 325, 6734, 324, 3374, 278, 10623, 8182, 320, 278, 5038, 279, 6924, 274, 322, 18597, 323, 26631, 629, 323, 280, 866, 271, 2190, 320, 659, 271, 324, 9346, 4200, 273, 325, 6860, 1030, 2568, 278, 27886, 279, 321, 276, 1626, 320, 29045, 277, 1724, 321, 476, 279, 321, 323, 272, 6767, 320, 279, 324, 280, 320, 277, 322, 275, 324, 276, 321, 280, 3066, 2568, 275, 325, 275, 321, 27898, 6872, 325, 3451, 1372, 321, 277, 2537, 0, 1012, 15154, 7527, 1227, 630, 277, 628, 9990, 2020, 13775, 676, 21942, 692, 258, 3848, 476, 1691, 910, 8641, 7869, 910, 476, 1691, 269, 274, 16803, 11202, 338, 543, 16803, 27989, 910, 11644, 5590, 476, 1691, 269, 274, 910, 8525, 476, 280, 2641, 281, 476, 1556, 692, 2971, 8382, 692, 5416, 264, 901, 3113, 1590, 723, 16803, 11387, 1317, 621, 568, 513, 2347, 3113, 269, 630, 321, 264, 634, 3113, 814, 476, 6344, 16803, 11387, 780, 2971, 4518, 5153, 676, 5153, 692, 5416, 264, 901, 3113, 568, 513, 2347, 3113, 269, 4475, 267, 519, 3113, 1590, 723, 16803, 11387, 269, 630, 321, 264, 901, 2347, 3113, 814, 476, 277, 14622, 269, 1284, 917, 602, 519, 1297, 540, 16803, 11387, 538, 513, 2347, 3113, 609, 1269, 333, 259, 14622, 568, 18159, 333, 268, 272, 25631, 10608, 634, 1297, 540, 16803, 11387, 538, 713, 3113, 568, 18159, 277, 268, 272, 25631, 259, 799, 568, 1269, 276, 256, 10608, 4595, 1269, 276, 256, 815, 476, 6344, 8961, 713, 3113, 814, 476, 6344, 16803, 11387, 780, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 1012, 476, 14631, 5379, 307, 7773, 6305, 1225, 1470, 692, 22091, 663, 11619, 1137, 454, 1892, 4239, 476, 274, 476, 278, 281, 7871, 6751, 454, 1892, 476, 271, 5900, 16670, 454, 4131, 562, 581, 630, 335, 9638, 266, 273, 11924, 272, 8358, 273, 1141, 533, 543, 533, 1341, 476, 273, 616, 1761, 18618, 22136, 780, 2252, 533, 543, 533, 266, 273, 616, 18618, 22136, 1287, 519, 2040, 540, 519, 2472, 540, 630, 333, 21147, 7565, 333, 14870, 264, 602, 7941, 5043, 958, 676, 533, 610, 533, 266, 273, 267, 609, 1535, 4358, 693, 476, 271, 547, 1535, 815, 562, 268, 273, 267, 786, 3160, 533, 9638, 266, 273, 7565, 320, 264, 16733, 277, 320, 263, 277, 320, 268, 272, 264, 1341, 630, 277, 320, 268, 272, 7565, 277, 320, 266, 272, 30727, 910, 630, 274, 5416, 5416, 268, 272, 11924, 272, 4297, 1141, 513, 815, 630, 335, 266, 272, 264, 1315, 476, 277, 269, 1403, 2901, 540, 533, 610, 533, 266, 273, 616, 12432, 1287, 519, 2040, 786, 581, 3152, 982, 533, 9638, 266, 273, 7565, 320, 7565, 263, 277, 320, 263, 277, 320, 268, 272, 264, 1341, 630, 277, 320, 268, 272, 7565, 277, 320, 266, 272, 30727, 910, 630, 274, 5416, 5416, 268, 272, 11924, 272, 4297, 780, 2026, 594, 6415, 711, 602, 1434, 693, 11589, 8885, 28879, 607, 606, 1383, 692, 335, 815, 476, 276, 267, 533, 266, 273, 815, 476, 278, 692, 1240, 2608, 476, 1240, 815, 476, 27844, 692, 1704, 2608, 476, 866, 815, 476, 26825, 692, 1626, 2608, 476, 736, 815, 476, 17168, 692, 1428, 2608, 476, 2641, 815, 476, 25628, 692, 269, 780, 273, 2608, 476, 4097, 815, 476, 6924, 692, 9616, 602, 649, 1152, 723, 1535, 547, 562, 268, 273, 815, 476, 1626, 1775, 4318, 269, 649, 1810, 1405, 1331, 476, 272, 543, 476, 3374, 780, 8170, 782, 519, 6383, 2472, 476, 276, 786, 7941, 476, 14028, 267, 476, 5197, 267, 476, 18605, 267, 476, 22550, 267, 476, 25628, 543, 476, 17168, 269, 476, 278, 786, 7941, 476, 10711, 267, 476, 23470, 267, 476, 28143, 543, 476, 25628, 269, 1306, 476, 25628, 17337, 676, 1312, 476, 276, 543, 476, 278, 621, 568, 3773, 1152, 2899, 269, 634, 2040, 540, 782, 891, 2472, 568, 476, 23470, 271, 780, 3383, 609, 533, 815, 476, 276, 1287, 630, 335, 266, 476, 272, 264, 1315, 476, 277, 815, 476, 272, 538, 713, 1383, 865, 692, 335, 9638, 266, 273, 7565, 320, 7565, 263, 277, 320, 263, 277, 320, 268, 272, 264, 1341, 630, 277, 320, 268, 272, 7565, 277, 320, 266, 272, 30727, 910, 630, 274, 5416, 5416, 268, 272, 11924, 272, 11723, 263, 3374, 7565, 272, 264, 16733, 277, 263, 277, 268, 272, 264, 1341, 630, 277, 268, 272, 7565, 277, 266, 272, 30727, 910, 630, 274, 263, 272, 263, 272, 268, 272, 11924, 272, 11723, 3374, 263, 1789, 1341, 476, 3374, 910, 476, 272, 264, 815, 476, 23470, 271, 692, 763, 2601, 713, 1568, 856, 713, 1259, 568, 1813, 547, 519, 1249, 952, 533, 610, 533, 266, 273, 568, 12432, 1287, 811, 540, 519, 2472, 616, 16883, 982, 609, 1079, 22136, 950, 835, 26770, 1152, 476, 273, 335, 540, 519, 2472, 547, 581, 16883, 780, 12179, 7853, 16681, 8380, 713, 883, 811, 6101, 6310, 1893, 2496, 10267, 619, 10484, 21837, 692, 5785, 8894, 17920, 9539, 11246, 23968, 5622, 256, 11619, 10152, 910, 782, 1007, 2934, 910, 1256, 811, 1187, 2439, 314, 15239, 17856, 13980, 540, 713, 5048, 723, 1044, 6569, 2639, 1892, 8058, 782, 476, 273, 6835, 538, 713, 1888, 0, 258, 4635, 519, 16494, 1297, 630, 328, 264, 607, 513, 5123, 6521, 11346, 692, 1892, 3967, 476, 279, 628, 476, 1001, 271, 267, 476, 6187, 281, 1704, 7537, 454, 651, 9109, 9109, 341, 454, 8794, 519, 16494, 1297, 630, 328, 264, 607, 513, 5123, 6521, 11346, 454, 2005, 4667, 16022, 602, 14921, 676, 1775, 1058, 6521, 519, 5123, 540, 513, 5365, 676, 476, 3445, 5232, 780, 296, 3494, 713, 666, 581, 3254, 547, 581, 3020, 1210, 552, 340, 8814, 9163, 780, 4913, 267, 1945, 3085, 1405, 1118, 2631, 780, 2252, 594, 9062, 5430, 263, 9064, 264, 676, 1775, 4534, 543, 4729, 519, 1267, 267, 594, 1810, 1405, 1294, 519, 25482, 17146, 676, 476, 3445, 5232, 267, 3079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 949, 723, 1082, 1004, 945, 786, 5555, 581, 1434, 2480, 5300, 27587, 610, 4886, 12243, 2818, 267, 789, 1522, 711, 581, 1318, 585, 519, 3355, 8062, 563, 268, 29130, 16204, 6493, 1107, 16204, 6493, 616, 9979, 540, 960, 5342, 538, 3397, 850, 602, 1331, 3670, 11775, 281, 1544, 267, 1711, 267, 1628, 267, 2936, 267, 2268, 267, 543, 10131, 269, 5457, 267, 2864, 982, 6236, 519, 1788, 2949, 267, 3397, 850, 9397, 519, 2462, 7725, 1524, 883, 4130, 2890, 3491, 915, 338, 269, 3399, 13346, 519, 3157, 547, 13918, 713, 14820, 563, 268, 3399, 8066, 1796, 5346, 11401, 1107, 3232, 1796, 5346, 630, 528, 2480, 5300, 264, 11401, 786, 1831, 2834, 2259, 538, 3397, 850, 269, 1358, 2154, 1142, 2319, 4759, 547, 1796, 909, 543, 1865, 1018, 789, 4076, 12913, 2094, 519, 2063, 1796, 5346, 267, 1018, 779, 1985, 267, 543, 519, 2591, 789, 3068, 563, 2005, 779, 1271, 547, 3314, 602, 3397, 850, 543, 968, 4777, 532, 1919, 3728, 892, 616, 1079, 1360, 1114, 1919, 269, 634, 3375, 547, 1847, 547, 3397, 850, 543, 519, 6388, 1184, 1058, 1246, 519, 1482, 3741, 281, 1491, 593, 1507, 4247, 543, 1205, 873, 1318, 1354, 3001, 593, 543, 18440, 909, 269, 0, 10387, 7877, 7130, 666, 581, 10268, 998, 1585, 1114, 3871, 269, 1280, 1082, 4299, 4600, 267, 519, 4191, 616, 711, 2141, 3362, 7805, 269, 901, 666, 1118, 9036, 7130, 1360, 2352, 547, 6542, 538, 5480, 563, 12179, 11832, 945, 8188, 9036, 7130, 666, 1745, 1629, 7394, 1242, 267, 799, 666, 1291, 547, 11991, 2566, 267, 4160, 267, 610, 1256, 4965, 269, 26521, 538, 519, 9036, 11148, 547, 1711, 20935, 5054, 1141, 1082, 5520, 666, 581, 4299, 676, 519, 2942, 2623, 563, 2252, 596, 723, 1044, 5806, 3990, 1996, 538, 519, 9036, 267, 596, 723, 519, 1318, 547, 11654, 3656, 2962, 1996, 707, 16108, 269, 634, 1344, 12006, 538, 713, 2376, 786, 948, 596, 5431, 952, 596, 616, 18460, 9036, 7130, 563, 288, 19768, 540, 16844, 538, 519, 31071, 454, 2691, 621, 2501, 547, 9036, 7130, 267, 972, 616, 1978, 4191, 602, 786, 581, 811, 18476, 982, 1866, 269, 1280, 1383, 267, 952, 782, 540, 519, 5520, 538, 707, 9036, 616, 540, 519, 1482, 4008, 267, 5198, 267, 4638, 10066, 267, 610, 2085, 1287, 621, 568, 1360, 2693, 602, 707, 9036, 568, 18071, 9036, 7130, 563, 2691, 5256, 5520, 616, 782, 1305, 538, 2359, 7158, 1247, 519, 8951, 2611, 538, 2539, 5107, 267, 713, 666, 581, 513, 2312, 13525, 540, 9036, 7130, 269, 634, 2963, 1996, 519, 16108, 666, 581, 952, 519, 2021, 6542, 2362, 7207, 543, 5924, 616, 1732, 11727, 585, 519, 2362, 7158, 982, 741, 5256, 9164, 267, 2943, 789, 2611, 538, 2539, 7158, 563, 288, 9324, 1221, 610, 3683, 331, 10541, 8871, 10056, 454, 2252, 596, 723, 1044, 9846, 2324, 2182, 4724, 513, 13319, 855, 596, 616, 2141, 1373, 15763, 267, 713, 949, 581, 513, 1129, 540, 7694, 7130, 269, 901, 666, 581, 3226, 3020, 952, 596, 723, 5892, 6829, 1719, 538, 513, 1909, 610, 723, 4294, 585, 513, 2990, 267, 2943, 1776, 1447, 6709, 531, 1881, 9441, 4607, 519, 13319, 563, 14582, 8636, 1782, 610, 1772, 565, 908, 5900, 6421, 454, 763, 1259, 606, 16108, 610, 28643, 28078, 666, 581, 513, 1713, 13525, 540, 9036, 7130, 269, 634, 6073, 610, 3159, 540, 5639, 538, 799, 19217, 832, 543, 32283, 619, 5968, 666, 581, 20935, 543, 1223, 1711, 513, 28379, 585, 7130, 547, 4755, 269, 6206, 4191, 585, 7130, 616, 3254, 952, 596, 616, 9275, 547, 538, 513, 1517, 8636, 1782, 3159, 610, 952, 2576, 568, 2141, 1818, 18086, 8292, 543, 24668, 269, 5510, 2400, 8292, 798, 711, 723, 547, 8209, 581, 2047, 1996, 596, 855, 789, 666, 581, 1500, 538, 4704, 547, 513, 2489, 2460, 540, 707, 1373, 269, 1452, 1223, 4125, 8292, 1996, 513, 1880, 5198, 267, 4984, 267, 4008, 267, 4638, 10066, 267, 610, 540, 513, 1978, 2085, 563, 288, 20134, 2271, 839, 2305, 610, 22159, 540, 16763, 667, 583, 625, 454, 21761, 1031, 25641, 12485, 1031, 676, 19217, 832, 666, 1331, 2921, 2476, 606, 1271, 5539, 689, 513, 11832, 269, 634, 28643, 666, 849, 2285, 519, 6098, 11832, 513, 4305, 602, 568, 7543, 547, 2347, 269, 1280, 513, 9614, 267, 713, 666, 2285, 1864, 610, 1200, 519, 4316, 547, 723, 519, 11832, 17991, 563, 11917, 1555, 519, 8081, 540, 513, 12333, 30374, 454, 13480, 2897, 7130, 1058, 2141, 581, 3144, 12517, 269, 634, 957, 540, 7130, 538, 519, 9036, 568, 513, 3520, 16781, 748, 957, 602, 814, 519, 12588, 540, 4929, 4049, 3929, 8194, 547, 519, 6098, 11832, 269, 1403, 596, 723, 11124, 9036, 7130, 267, 3717, 547, 606, 18607, 945, 666, 9718, 707, 3540, 23118, 543, 2924, 563, 16920, 528, 2284, 3807, 514, 670, 269, 3751, 568, 27723, 4810, 538, 519, 2361, 540, 9036, 7130, 4031, 7057, 538, 519, 3557, 540, 4993, 269, 30374, 3751, 814, 513, 6612, 540, 4543, 4600, 9718, 741, 2924, 950, 789, 723, 1044, 5806, 3990, 1996, 538, 741, 1747, 540, 960, 269, 1403, 596, 723, 2601, 547, 3494, 596, 723, 1044, 5806, 3990, 1996, 538, 707, 1747, 540, 960, 267, 3343, 519, 1702, 540, 513, 3318, 18607, 945, 666, 948, 596, 2786, 12537, 269, 0, 4910, 2700, 2866, 1107, 898, 779, 835, 540, 519, 1360, 1906, 2081, 547, 1118, 7633, 16437, 518, 267, 513, 829, 330, 602, 568, 2523, 1271, 585, 2021, 269, 700, 14823, 1945, 267, 899, 513, 31945, 10428, 267, 2306, 7633, 7703, 811, 2597, 267, 543, 538, 3635, 267, 2566, 532, 707, 7633, 568, 513, 1434, 3364, 630, 25075, 4575, 596, 616, 24534, 827, 519, 968, 6011, 26158, 645, 2158, 616, 7683, 28889, 2454, 607, 1022, 3635, 28772, 6048, 786, 2491, 269, 2659, 1560, 568, 2141, 4946, 7513, 547, 707, 7633, 543, 2921, 7513, 2476, 689, 707, 7633, 563, 1607, 10347, 3666, 6238, 547, 9133, 607, 1004, 2085, 267, 543, 1287, 596, 6336, 811, 7777, 689, 519, 5642, 982, 596, 2461, 2111, 547, 2482, 1524, 269, 3683, 942, 267, 5642, 4991, 1447, 10053, 543, 811, 28221, 543, 12155, 547, 21404, 267, 513, 2783, 602, 568, 6059, 547, 1860, 476, 1220, 2929, 2021, 5001, 1107, 5111, 835, 2389, 5460, 540, 2021, 9907, 476, 2568, 267, 835, 1922, 604, 628, 540, 2021, 9907, 476, 3583, 267, 1079, 1922, 604, 2195, 540, 2021, 9907, 476, 3199, 543, 1079, 22188, 540, 2021, 9907, 476, 3445, 269, 6468, 723, 4130, 267, 25182, 7633, 982, 2367, 689, 519, 1376, 267, 543, 1310, 22797, 789, 6336, 522, 652, 4088, 267, 513, 9449, 602, 14014, 7633, 563, 4910, 2700, 2866, 849, 2501, 609, 519, 1447, 7298, 4324, 540, 16715, 1981, 585, 1896, 3676, 269, 634, 1152, 1483, 1259, 649, 666, 2333, 938, 10307, 267, 8259, 649, 1491, 5061, 267, 568, 547, 12740, 12035, 543, 2226, 610, 2333, 938, 10709, 2527, 269, 23560, 865, 2306, 519, 1560, 811, 6213, 547, 7378, 267, 543, 4061, 811, 14463, 1996, 1978, 3676, 563, 13146, 1382, 5267, 602, 4187, 2866, 949, 2539, 513, 4807, 779, 1981, 585, 7392, 476, 273, 3987, 543, 9025, 2068, 269, 769, 513, 476, 1001, 277, 1353, 267, 3173, 689, 12370, 6481, 3427, 543, 519, 2817, 23941, 540, 2657, 1031, 1239, 689, 5176, 476, 3607, 267, 1822, 4587, 2021, 267, 945, 24132, 538, 2085, 689, 476, 5325, 547, 476, 7176, 269, 634, 2021, 4904, 856, 26830, 585, 827, 513, 8717, 24223, 741, 1072, 543, 3635, 2157, 267, 543, 835, 2243, 4280, 2021, 547, 7447, 875, 1454, 2597, 331, 14823, 610, 4222, 2866, 789, 1185, 2944, 829, 3018, 538, 519, 2250, 1032, 269, 634, 3173, 1287, 27424, 799, 540, 519, 2021, 1185, 513, 2295, 4323, 610, 8482, 543, 799, 2919, 7392, 476, 273, 3987, 563, 15371, 610, 711, 513, 4807, 1705, 4887, 3613, 21880, 28517, 5751, 8612, 513, 2603, 827, 1200, 1072, 269, 22702, 609, 2021, 945, 14284, 621, 267, 1346, 945, 1705, 1022, 2179, 540, 4222, 2866, 941, 811, 2693, 547, 723, 513, 2539, 1560, 2527, 4994, 543, 513, 8902, 2732, 543, 1447, 2693, 547, 581, 513, 1699, 15137, 518, 563, 5445, 849, 1185, 513, 7392, 476, 273, 3987, 1981, 602, 729, 476, 1789, 260, 2539, 543, 513, 9025, 2068, 1981, 476, 1704, 260, 2539, 982, 1346, 945, 1705, 1100, 4222, 2866, 267, 1256, 1310, 519, 3173, 6417, 585, 824, 4632, 899, 2085, 267, 2732, 543, 2168, 2534, 269, 2334, 538, 3294, 568, 513, 1434, 2614, 2601, 547, 1376, 3257, 930, 4187, 2866, 256, 2336, 29002, 20659, 3635, 5280, 5397, 1312, 4220, 1524, 1256, 811, 269, 8409, 945, 1705, 693, 2547, 476, 6344, 3764, 513, 3018, 540, 20659, 3635, 543, 930, 4222, 2866, 1185, 513, 7392, 476, 273, 3987, 1981, 476, 4792, 260, 2539, 982, 2021, 945, 4769, 1406, 798, 2901, 269, 1924, 1810, 1406, 3247, 519, 28491, 267, 1175, 1039, 930, 4187, 2866, 547, 621, 563, 7197, 1004, 1058, 798, 1312, 5686, 540, 3635, 267, 855, 952, 596, 1185, 547, 3442, 835, 4584, 4187, 2866, 269, 9315, 1470, 949, 581, 811, 3858, 762, 267, 543, 1447, 25254, 267, 855, 596, 849, 1205, 1447, 543, 1447, 856, 540, 621, 936, 942, 269, 1306, 596, 1332, 3514, 614, 267, 596, 723, 547, 798, 811, 543, 811, 20659, 3635, 547, 1294, 12374, 269, 18650, 2866, 568, 3274, 519, 1034, 3608, 3635, 585, 1346, 609, 3908, 942, 563, 4910, 2700, 2866, 2501, 538, 1082, 3015, 3029, 2443, 1082, 540, 799, 1810, 1406, 2154, 513, 15547, 15376, 543, 1810, 1406, 2154, 513, 2123, 26519, 269, 18650, 13164, 267, 630, 3832, 777, 17446, 540, 13412, 602, 8520, 1472, 7916, 610, 7953, 1070, 616, 835, 1434, 1259, 547, 1628, 4222, 1510, 12035, 267, 585, 3236, 269, 589, 476, 1001, 278, 1353, 4951, 602, 950, 9808, 559, 2021, 936, 476, 2568, 945, 941, 17324, 5249, 856, 609, 4187, 13164, 585, 1614, 3275, 267, 789, 12628, 1560, 3170, 543, 2799, 5642, 5860, 269, 6271, 4781, 602, 3322, 1256, 1447, 3937, 568, 547, 946, 707, 1378, 1560, 2597, 269, 17348, 2695, 520, 630, 9227, 909, 538, 4395, 540, 513, 11381, 543, 9361, 1524, 2394, 596, 1175, 5905, 519, 4395, 6316, 540, 519, 10160, 540, 519, 11381, 264, 1082, 2053, 13976, 4222, 267, 607, 1281, 17259, 267, 799, 3096, 1082, 540, 519, 7953, 685, 2101, 6091, 269, 4634, 6972, 666, 1293, 607, 4222, 2866, 267, 4470, 593, 519, 8515, 563, 763, 1318, 1826, 543, 2179, 786, 581, 1114, 585, 1169, 4807, 630, 663, 812, 267, 585, 602, 2339, 1070, 855, 513, 2370, 3787, 1169, 1554, 786, 798, 13300, 269, 3502, 1152, 786, 596, 1413, 1732, 982, 950, 596, 1101, 3323, 267, 855, 596, 786, 849, 1745, 2731, 8746, 269, 23848, 2866, 10741, 909, 707, 4555, 547, 811, 2318, 3206, 563, 2791, 666, 1376, 609, 707, 1560, 7076, 563, 21607, 3274, 4222, 2866, 1797, 1210, 4187, 547, 1711, 960, 585, 707, 6091, 269, 1924, 972, 616, 513, 2603, 540, 2081, 547, 1711, 713, 4187, 602, 3340, 8766, 3937, 630, 528, 9039, 693, 782, 1040, 10610, 7076, 23736, 666, 581, 606, 11212, 2500, 267, 2943, 2241, 267, 1259, 547, 4222, 5721, 267, 2119, 2695, 1846, 543, 7903, 13522, 547, 2253, 609, 269, 1411, 666, 849, 946, 2645, 899, 31945, 10428, 338, 267, 4915, 11084, 267, 13138, 311, 13164, 267, 4187, 13164, 267, 543, 11337, 1479, 10428, 338, 269, 1809, 952, 602, 4992, 7294, 1810, 1406, 5855, 827, 621, 269, 5901, 621, 2241, 543, 1445, 593, 3937, 6954, 13467, 1101, 269, 3143, 2339, 1018, 596, 798, 267, 519, 1034, 1271, 3364, 568, 547, 1265, 1945, 602, 2591, 596, 563, 24375, 609, 1079, 2395, 513, 3018, 543, 1628, 909, 563, 9359, 609, 1079, 2395, 585, 1079, 547, 1614, 4374, 267, 1287, 1039, 513, 3791, 1554, 269, 27814, 267, 596, 1058, 4222, 5721, 1614, 547, 2947, 2395, 829, 3018, 267, 855, 960, 707, 1259, 909, 2443, 4358, 1055, 693, 2947, 2395, 513, 3018, 1522, 2097, 607, 513, 1483, 8710, 707, 1560, 256, 2336, 288, 574, 547, 2347, 476, 736, 18826, 7886, 267, 1287, 7930, 1039, 593, 942, 538, 4557, 18826, 1213, 906, 2394, 596, 2461, 2324, 585, 476, 3393, 547, 476, 2568, 3764, 563, 8170, 1576, 267, 713, 3085, 1406, 1611, 596, 1058, 711, 798, 1022, 28491, 269, 476, 5611, 3764, 540, 1769, 3562, 21524, 4733, 960, 610, 476, 4037, 3764, 513, 3018, 540, 1164, 27233, 960, 568, 5227, 585, 1434, 1072, 269, 15531, 519, 1318, 3575, 540, 23736, 786, 4096, 1360, 1454, 593, 707, 1378, 1808, 3853, 563, 7093, 6768, 707, 6091, 1354, 596, 1376, 563, 288, 1697, 3636, 5346, 568, 606, 1271, 851, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 513, 22514, 24212, 569, 12454, 16846, 1131, 711, 581, 7180, 958, 25368, 538, 713, 2796, 267, 2094, 891, 9104, 2218, 5322, 1131, 17225, 5497, 17319, 3350, 269, 11569, 267, 1247, 22514, 756, 25222, 17898, 1400, 954, 928, 584, 976, 616, 7347, 569, 1110, 4327, 1282, 12809, 5163, 538, 678, 1127, 639, 22171, 267, 789, 616, 28729, 22887, 18050, 1282, 3742, 5322, 1496, 7367, 267, 7871, 4940, 634, 5786, 538, 8849, 8417, 568, 5812, 609, 519, 1657, 11556, 267, 2094, 513, 22514, 24212, 569, 12454, 26017, 2212, 3350, 1131, 2965, 581, 4831, 335, 8793, 950, 519, 3804, 568, 547, 3132, 17319, 2212, 3350, 269, 4329, 960, 786, 581, 2838, 547, 3313, 519, 12117, 540, 27090, 11444, 1199, 11868, 9104, 2218, 2212, 3350, 1282, 2067, 2238, 971, 607, 22401, 10593, 543, 21525, 10056, 563, 763, 4589, 1131, 899, 547, 9684, 631, 269, 11918, 8932, 267, 589, 269, 667, 1446, 267, 808, 269, 2961, 686, 582, 267, 543, 700, 269, 6129, 585, 9691, 2542, 519, 12377, 267, 543, 700, 8643, 4210, 14390, 719, 267, 590, 269, 715, 340, 4673, 543, 654, 269, 918, 1276, 1513, 7288, 585, 5140, 2930, 6351, 563, 3519, 18727, 543, 2966, 519, 6901, 281, 667, 4932, 595, 7374, 306, 918, 4488, 269, 9524, 539, 519, 6901, 281, 667, 4932, 7131, 27107, 808, 11190, 595, 7374, 306, 918, 4488, 269, 8890, 7458, 519, 1239, 281, 667, 4932, 7131, 27107, 808, 11190, 269, 654, 4710, 519, 12377, 281, 667, 4932, 595, 7374, 306, 918, 4488, 563, 268, 476, 272, 269, 595, 1638, 523, 26395, 630, 1001, 273, 264, 634, 22514, 24212, 1062, 281, 1617, 574, 27567, 5610, 543, 17683, 540, 1582, 2173, 10056, 585, 5179, 1852, 269, 12367, 11671, 338, 857, 476, 3374, 281, 476, 6977, 1700, 3422, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 6745, 1231, 269, 1001, 272, 269, 1321, 269, 9826, 269, 32253, 281, 476, 19442, 28526, 7761, 563, 268, 476, 273, 269, 14559, 26395, 267, 4856, 516, 807, 631, 297, 630, 3192, 273, 264, 634, 22514, 24212, 1062, 540, 519, 22559, 269, 4437, 32554, 24357, 2723, 589, 267, 735, 559, 528, 269, 4284, 328, 6048, 476, 5655, 281, 476, 31874, 1700, 3374, 279, 563, 268, 476, 274, 269, 7108, 6199, 808, 267, 8891, 3205, 645, 310, 630, 2735, 277, 264, 4676, 2716, 543, 7344, 7418, 547, 2212, 32278, 538, 10332, 7314, 269, 808, 11671, 31850, 2723, 476, 6321, 281, 476, 5952, 278, 1700, 279, 4037, 269, 32253, 281, 476, 4097, 280, 14093, 276, 563, 268, 476, 275, 269, 4144, 1359, 518, 715, 630, 2735, 278, 264, 634, 1909, 540, 9104, 2218, 3750, 543, 2212, 5322, 585, 22401, 32278, 538, 519, 19727, 11712, 13855, 269, 11020, 1763, 476, 29024, 281, 476, 3451, 1700, 4343, 269, 8222, 281, 1015, 269, 6200, 277, 270, 1822, 277, 268, 279, 4200, 274, 263, 9262, 264, 280, 1724, 7367, 268, 278, 269, 32253, 281, 476, 4097, 280, 275, 4366, 275, 563, 268, 476, 276, 269, 717, 1470, 28839, 670, 630, 2735, 279, 264, 853, 8494, 1944, 22401, 16846, 525, 538, 519, 25190, 517, 630, 8624, 3518, 320, 561, 14746, 1040, 4083, 269, 966, 652, 756, 25222, 268, 22811, 630, 309, 3036, 264, 543, 22514, 756, 25222, 12258, 997, 630, 743, 2216, 2000, 17274, 966, 10135, 264, 16846, 525, 269, 5890, 11020, 1763, 476, 7597, 281, 476, 6812, 274, 1700, 6795, 274, 269, 8222, 281, 1015, 269, 1911, 278, 20324, 293, 16573, 5325, 274, 1556, 269, 32253, 281, 476, 23283, 4817, 272, 272, 563, 268, 476, 277, 269, 670, 12120, 589, 267, 16299, 2006, 808, 291, 630, 1220, 276, 264, 966, 652, 24212, 22401, 32278, 281, 1114, 8965, 2994, 585, 818, 321, 648, 531, 543, 18714, 1285, 2103, 269, 808, 11671, 31850, 2723, 476, 11152, 281, 476, 14138, 276, 1700, 14056, 274, 269, 32253, 281, 476, 14028, 28670, 6734, 563, 268, 476, 278, 269, 22767, 573, 2763, 715, 267, 7799, 918, 267, 667, 6614, 808, 267, 3751, 654, 300, 630, 1001, 273, 264, 8895, 7079, 545, 14242, 540, 519, 22514, 24212, 13020, 344, 538, 25647, 14918, 1282, 12809, 2898, 1560, 10047, 543, 1582, 24378, 2212, 3350, 269, 808, 11671, 31850, 2723, 476, 13040, 281, 476, 26297, 271, 1700, 25375, 271, 269, 8222, 281, 1015, 269, 12893, 273, 10768, 333, 269, 19740, 1691, 269, 1001, 272, 269, 32253, 281, 476, 19442, 277, 2764, 2767, 563, 268, 476, 279, 269, 2871, 527, 2023, 667, 267, 918, 792, 2284, 11555, 267, 21518, 2917, 715, 267, 8891, 3205, 645, 310, 630, 2735, 277, 264, 10439, 267, 22514, 24212, 543, 17319, 7418, 547, 1480, 2212, 32278, 269, 5890, 11020, 1763, 476, 5038, 281, 476, 6795, 1700, 7597, 269, 32253, 281, 476, 4097, 280, 271, 4375, 277, 563, 268, 476, 280, 269, 717, 323, 22603, 717, 307, 267, 15966, 16699, 17241, 630, 1960, 280, 264, 16949, 540, 22514, 24212, 543, 2212, 3350, 6786, 538, 519, 22514, 24212, 22140, 1282, 2898, 23073, 10047, 269, 808, 11671, 31850, 2723, 476, 11025, 281, 476, 275, 3607, 1700, 4510, 280, 269, 32253, 281, 476, 10441, 27947, 3583, 563, 268, 476, 1015, 269, 32083, 23404, 267, 717, 323, 22603, 717, 307, 630, 1220, 279, 264, 10361, 5322, 3812, 1282, 2898, 1560, 32186, 543, 741, 8417, 547, 2242, 538, 2212, 24880, 538, 29160, 22171, 269, 808, 11671, 31850, 2723, 476, 4200, 281, 476, 26951, 280, 1700, 24487, 273, 269, 8222, 281, 1015, 269, 12893, 273, 10768, 333, 269, 19740, 736, 269, 1220, 278, 269, 32253, 281, 476, 8146, 30588, 10436, 563, 268, 476, 1556, 269, 590, 1228, 724, 328, 590, 294, 267, 19724, 700, 289, 267, 595, 1638, 523, 26395, 630, 1001, 272, 264, 5564, 574, 27567, 5610, 1310, 796, 10561, 2978, 31307, 710, 27295, 281, 2582, 22514, 24212, 22140, 22813, 6114, 543, 6286, 585, 2022, 1116, 13180, 269, 808, 11671, 31850, 2723, 476, 10755, 281, 476, 5780, 272, 1700, 6858, 274, 269, 8222, 281, 1015, 269, 12893, 273, 10768, 333, 269, 23669, 6434, 269, 1001, 271, 269, 32253, 281, 476, 21076, 21878, 9834, 563, 268, 476, 1321, 269, 623, 1263, 717, 290, 267, 670, 664, 570, 290, 267, 8891, 3205, 645, 310, 630, 1960, 277, 264, 589, 3846, 673, 2203, 585, 16846, 15181, 2212, 5322, 538, 519, 8880, 7077, 269, 22776, 15536, 333, 476, 4037, 281, 476, 29616, 1700, 29204, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 21916, 13136, 30588, 29574, 269, 32253, 281, 476, 279, 4817, 4391, 275, 271, 563, 268, 476, 1724, 269, 623, 1263, 717, 290, 267, 670, 664, 570, 290, 267, 8891, 3205, 645, 310, 630, 1960, 280, 264, 21023, 532, 22514, 24212, 267, 16885, 334, 21082, 267, 543, 27354, 22817, 1852, 2994, 538, 3339, 543, 27690, 2212, 5322, 269, 20959, 3690, 4437, 15701, 1621, 476, 5379, 281, 476, 14695, 280, 1700, 12553, 271, 269, 8222, 281, 1015, 269, 8099, 280, 270, 1015, 269, 8064, 278, 7176, 277, 269, 32253, 281, 476, 10755, 279, 2190, 1556, 563, 268, 476, 1691, 269, 570, 1638, 1470, 623, 630, 4572, 280, 264, 30605, 7937, 337, 3768, 5884, 9980, 4614, 327, 2426, 3541, 1975, 2350, 515, 3768, 5576, 337, 3424, 269, 12670, 281, 12124, 1299, 5576, 8705, 7999, 6199, 563, 268, 476, 1428, 269, 11511, 1067, 19113, 267, 19724, 700, 289, 267, 5516, 344, 31179, 267, 667, 7578, 16114, 2088, 16671, 630, 1220, 271, 264, 16685, 5322, 538, 2550, 609, 9120, 12324, 632, 327, 4593, 775, 6794, 5447, 609, 519, 9402, 12324, 269, 27096, 344, 476, 4649, 281, 476, 8146, 274, 1700, 7277, 272, 269, 8222, 281, 1015, 269, 13199, 273, 270, 310, 301, 299, 269, 4649, 269, 1321, 269, 8146, 274, 269, 32253, 281, 476, 9340, 29340, 11025, 563, 268, 476, 1626, 269, 30554, 25431, 808, 296, 267, 28137, 645, 630, 3422, 275, 264, 10361, 267, 3750, 267, 1560, 543, 18215, 5322, 689, 12931, 1844, 983, 12324, 13285, 269, 5890, 3026, 340, 1503, 476, 1015, 281, 476, 4375, 274, 1700, 28147, 269, 8222, 281, 1015, 269, 6200, 277, 270, 9826, 275, 268, 4366, 279, 277, 263, 5038, 264, 12010, 4029, 268, 278, 269, 32253, 281, 476, 16318, 27543, 4200, 563, 268, 476, 1704, 269, 661, 6255, 655, 600, 674, 267, 1280, 15816, 13698, 267, 5576, 719, 523, 8028, 267, 11709, 3541, 29581, 674, 6311, 267, 19732, 2465, 681, 630, 1001, 273, 264, 8895, 7079, 545, 22514, 24212, 14242, 19310, 1080, 5812, 2212, 16250, 1188, 5163, 538, 27206, 5396, 269, 20959, 3690, 4437, 15701, 1621, 476, 6795, 281, 476, 3192, 279, 1700, 2735, 275, 269, 8222, 281, 1015, 269, 8099, 280, 20081, 289, 10933, 269, 1001, 273, 269, 25546, 276, 1704, 279, 269, 32253, 281, 476, 18597, 28766, 2412, 563, 268, 476, 1240, 269, 667, 2967, 595, 267, 2605, 573, 2006, 717, 312, 267, 6424, 990, 923, 22085, 267, 15616, 836, 645, 267, 13259, 333, 808, 295, 1696, 620, 269, 630, 1001, 272, 264, 26198, 540, 476, 274, 291, 22514, 24212, 14815, 538, 678, 1127, 639, 22171, 1210, 513, 1617, 747, 14128, 22514, 24212, 14382, 4185, 269, 670, 792, 1763, 476, 27005, 281, 476, 10619, 1700, 10695, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 515, 4100, 269, 1001, 272, 269, 5400, 269, 25484, 269, 32253, 281, 476, 25908, 6434, 280, 8618, 563, 268, 476, 866, 269, 31506, 4034, 516, 13698, 267, 595, 1638, 523, 26395, 630, 1960, 280, 264, 26592, 2079, 540, 705, 3027, 839, 22813, 11166, 6384, 1282, 521, 3147, 19631, 543, 3500, 3750, 5322, 269, 808, 11671, 31850, 2723, 476, 11025, 281, 476, 28360, 273, 1700, 28091, 273, 269, 32253, 281, 476, 10755, 277, 1691, 4029, 563, 268, 476, 736, 269, 14529, 15607, 717, 291, 267, 8751, 14150, 667, 299, 630, 1960, 272, 264, 16685, 3350, 6114, 547, 5276, 2212, 5163, 538, 519, 29160, 24564, 269, 594, 269, 9978, 4162, 269, 808, 11671, 31850, 2723, 476, 4792, 281, 476, 14056, 271, 1700, 14093, 273, 269, 32253, 281, 476, 5908, 4200, 272, 272, 563, 268, 476, 2641, 269, 20353, 2993, 18153, 334, 21191, 267, 5576, 340, 6975, 14330, 267, 808, 4275, 1372, 329, 341, 784, 623, 267, 700, 2532, 518, 20336, 267, 1849, 754, 534, 1408, 17241, 1696, 620, 269, 630, 1220, 275, 264, 634, 1614, 8820, 22514, 756, 25222, 268, 22811, 16846, 859, 12097, 676, 1164, 14092, 5120, 566, 32186, 538, 519, 29160, 24564, 269, 5890, 11020, 1763, 15331, 16279, 670, 597, 333, 325, 832, 577, 5890, 2946, 337, 2939, 566, 595, 2946, 28584, 1962, 1446, 476, 14689, 281, 476, 275, 3451, 1700, 4510, 277, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 16573, 2641, 268, 21916, 268, 3192, 275, 268, 273, 269, 32253, 281, 476, 14631, 5392, 278, 6021, 563, 268, 476, 2420, 269, 595, 1638, 523, 26395, 267, 19724, 700, 289, 630, 1220, 273, 264, 590, 2438, 1844, 983, 12324, 3413, 5166, 338, 13974, 31391, 3742, 543, 12809, 2212, 6823, 23073, 32186, 281, 6286, 585, 519, 1909, 540, 22514, 24212, 2498, 2397, 269, 808, 11671, 338, 857, 476, 2420, 281, 25846, 26297, 269, 32253, 281, 476, 6344, 6110, 5952, 563, 268, 476, 2537, 269, 15616, 836, 645, 267, 2605, 573, 2006, 717, 312, 267, 667, 2967, 595, 267, 31670, 2006, 10790, 267, 667, 7578, 16114, 2088, 16671, 630, 1001, 272, 264, 5071, 543, 2773, 540, 513, 1617, 747, 14128, 22514, 24212, 14382, 4185, 602, 1964, 2803, 12931, 1844, 983, 12324, 14815, 538, 678, 1127, 639, 24564, 269, 20959, 3690, 22532, 5204, 560, 23488, 559, 1621, 476, 866, 281, 476, 276, 6434, 1700, 6795, 279, 269, 8222, 281, 1015, 269, 8099, 280, 20081, 10064, 3918, 269, 1001, 272, 269, 21327, 5392, 274, 278, 269, 32253, 281, 476, 25908, 6795, 277, 4029, 563, 268, 476, 2190, 269, 13201, 331, 9774, 614, 570, 630, 1960, 276, 264, 9119, 540, 1614, 8820, 3750, 32186, 269, 17496, 1763, 476, 3374, 281, 476, 15094, 278, 1700, 15876, 280, 269, 8222, 281, 1015, 269, 6200, 277, 270, 21916, 273, 268, 277, 7176, 280, 263, 11463, 264, 16573, 6872, 5336, 269, 32253, 281, 476, 278, 5780, 4962, 279, 272, 563, 268, 476, 1839, 269, 20353, 2993, 18153, 334, 21191, 267, 25595, 631, 297, 630, 1960, 280, 264, 7464, 6066, 10047, 10321, 269, 3851, 22057, 2168, 1299, 4702, 9443, 538, 4915, 1315, 6462, 676, 519, 3851, 22057, 5441, 540, 8447, 12207, 538, 6925, 543, 519, 3851, 22057, 5948, 540, 8447, 7070, 538, 6925, 476, 2420, 281, 476, 10463, 1700, 3199, 563, 268, 476, 2918, 269, 590, 1228, 724, 328, 590, 294, 267, 19724, 700, 289, 267, 595, 1638, 523, 26395, 630, 1220, 278, 264, 15863, 540, 22514, 24212, 268, 1676, 557, 3413, 5166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1358, 1185, 1614, 1453, 267, 1079, 14930, 543, 513, 8250, 269, 2991, 2348, 6192, 1010, 2090, 646, 729, 24705, 1042, 4387, 540, 4915, 543, 13604, 8118, 2259, 607, 606, 2028, 626, 543, 3459, 2027, 2358, 593, 17333, 565, 28640, 1108, 269, 14755, 713, 646, 729, 585, 930, 1296, 538, 5279, 540, 513, 4357, 16758, 538, 14068, 1234, 545, 1156, 327, 718, 563, 299, 644, 23143, 6182, 6686, 333, 342, 12245, 729, 513, 1480, 626, 609, 513, 3376, 2686, 4282, 269, 2290, 540, 1010, 1034, 4583, 2550, 729, 519, 1287, 562, 9629, 334, 540, 28554, 7559, 267, 631, 2945, 793, 16725, 26290, 523, 1470, 623, 864, 25651, 267, 945, 2663, 2968, 15352, 623, 3780, 2473, 2862, 269, 4014, 711, 4687, 5784, 540, 519, 1158, 267, 519, 1079, 9738, 513, 7874, 2078, 563, 299, 644, 23143, 6182, 6686, 333, 342, 12245, 849, 7255, 5128, 609, 688, 14670, 1108, 269, 1261, 5249, 538, 9400, 2904, 781, 8047, 538, 22540, 950, 789, 2919, 519, 3070, 1631, 1634, 607, 2904, 8566, 337, 6686, 333, 342, 12245, 12962, 269, 1261, 729, 4440, 519, 1101, 547, 4766, 519, 8065, 518, 2281, 538, 519, 17725, 11940, 6242, 267, 1101, 1336, 676, 1325, 3691, 19816, 13153, 8065, 518, 630, 10204, 279, 268, 10082, 278, 1916, 299, 644, 23143, 6182, 6686, 333, 342, 12245, 729, 519, 1101, 547, 3801, 519, 10551, 2126, 540, 17725, 1139, 4851, 543, 2068, 5473, 519, 17801, 1355, 543, 838, 515, 5514, 7633, 543, 547, 17725, 18980, 4345, 563, 763, 1101, 4238, 538, 519, 18980, 3193, 650, 30213, 941, 2944, 538, 476, 14690, 274, 676, 8402, 19681, 528, 1512, 630, 15433, 277, 268, 10082, 278, 264, 543, 2663, 676, 24839, 9478, 2677, 5435, 630, 14690, 275, 268, 9692, 276, 264, 538, 476, 9692, 279, 630, 14006, 21065, 748, 1070, 1312, 3842, 6522, 320, 666, 2088, 269, 769, 12670, 21321, 560, 9677, 30544, 918, 6686, 3122, 630, 8146, 280, 268, 5002, 275, 264, 12090, 2413, 6391, 540, 519, 5609, 4926, 609, 513, 1646, 540, 2677, 5435, 781, 1505, 540, 11579, 7992, 519, 3774, 540, 519, 18980, 269, 634, 1310, 13282, 538, 891, 4238, 729, 7294, 676, 519, 11741, 512, 2086, 29396, 609, 12285, 31148, 269, 8176, 1261, 987, 538, 5507, 543, 21662, 517, 538, 1715, 31069, 6823, 6874, 344, 928, 1726, 335, 10165, 519, 18980, 3193, 650, 30213, 3842, 519, 6522, 320, 666, 2088, 538, 476, 6642, 280, 543, 476, 6245, 273, 267, 1498, 1510, 12775, 563, 2171, 9684, 7338, 6182, 6686, 333, 342, 12245, 14811, 523, 325, 1564, 267, 15585, 1156, 7921, 267, 5125, 267, 585, 1344, 11643, 269, 32400, 6182, 6686, 333, 342, 12245, 729, 1010, 1390, 22516, 563, 268, 12603, 2274, 327, 516, 13153, 3954, 715, 553, 2940, 3438, 684, 2102, 5378, 14850, 1180, 19907, 681, 6686, 4242, 32218, 14193, 325, 5884, 8210, 330, 17213, 684, 2102, 964, 27119, 321, 268, 3768, 3223, 559, 2041, 1231, 3768, 632, 1066, 669, 597, 4026, 27528, 2142, 8518, 331, 2426, 563, 300, 6686, 333, 7770, 267, 2274, 760, 345, 580, 267, 808, 269, 674, 269, 2274, 327, 10458, 267, 476, 6245, 274, 269, 476, 273, 526, 267, 15428, 267, 7160, 267, 476, 6245, 277, 269, 2296, 8144, 476, 5002, 271, 563, 268, 25304, 3541, 918, 17213, 15241, 523, 3541, 631, 1495, 327, 7238, 327, 548, 267, 964, 13787, 2380, 3768, 3541, 715, 848, 563, 300, 6686, 333, 7770, 267, 808, 269, 674, 269, 2274, 327, 10458, 267, 476, 6245, 275, 269, 11730, 476, 275, 540, 2274, 327, 2006, 985, 1199, 714, 17430, 3832, 7435, 520, 331, 656, 523, 563, 273, 526, 7160, 476, 5002, 273, 267, 476, 274, 6113, 7160, 476, 4489, 273, 563, 268, 25304, 3768, 30421, 526, 337, 1170, 3541, 3223, 25632, 330, 641, 325, 330, 17213, 15241, 523, 563, 300, 6686, 333, 7770, 267, 808, 269, 674, 269, 2274, 327, 10458, 267, 476, 6245, 278, 269, 476, 1911, 3817, 563, 24127, 476, 1691, 540, 2274, 327, 10458, 781, 1199, 714, 17430, 3832, 7435, 520, 331, 656, 523, 563, 273, 526, 7160, 267, 23762, 543, 15428, 267, 607, 281, 30421, 526, 337, 1170, 3541, 3223, 25632, 330, 641, 325, 330, 17213, 15241, 523, 3768, 25304, 3541, 700, 28640, 657, 330, 641, 773, 269, 28228, 333, 7770, 267, 476, 5002, 278, 563, 268, 25304, 17907, 3241, 964, 32277, 625, 5918, 561, 28449, 563, 13640, 529, 267, 13391, 650, 328, 27056, 267, 476, 6245, 280, 269, 476, 28192, 3817, 563, 268, 25304, 543, 7493, 540, 519, 3676, 540, 519, 561, 28449, 269, 476, 5002, 271, 563, 268, 25304, 3768, 30421, 526, 337, 1170, 3541, 918, 17213, 15241, 523, 3541, 631, 1495, 327, 7238, 327, 548, 267, 964, 13787, 2380, 3768, 3541, 715, 848, 563, 273, 526, 7160, 267, 23762, 543, 4625, 15428, 267, 476, 5002, 273, 563, 268, 30421, 526, 337, 1170, 3541, 3223, 25632, 330, 641, 325, 330, 17213, 15241, 523, 267, 3768, 25304, 3541, 700, 28640, 657, 330, 641, 773, 563, 273, 526, 7160, 267, 23762, 543, 15428, 269, 28228, 333, 7770, 267, 808, 12171, 2274, 327, 10458, 267, 476, 5002, 278, 269, 2473, 9654, 1341, 476, 22659, 3817, 563, 268, 12603, 918, 17213, 15241, 523, 3541, 631, 1495, 327, 2129, 548, 267, 964, 13787, 2380, 3768, 3541, 715, 848, 563, 274, 6113, 7160, 267, 23762, 543, 4625, 15428, 269, 28228, 333, 7770, 267, 808, 269, 674, 269, 476, 4489, 273, 269, 476, 8517, 3817, 563, 268, 27956, 345, 613, 325, 553, 560, 525, 2274, 15590, 321, 1276, 3768, 25304, 3541, 918, 17213, 15241, 523, 3541, 631, 1495, 327, 7238, 327, 548, 267, 964, 13787, 2380, 3768, 3541, 715, 848, 563, 5938, 559, 4083, 281, 25304, 269, 28228, 333, 7770, 267, 476, 4489, 273, 269, 2274, 327, 10458, 781, 2405, 714, 17430, 3832, 7435, 520, 331, 656, 523, 267, 4320, 10001, 563, 268, 25304, 543, 13423, 727, 540, 3676, 540, 519, 5023, 267, 943, 28449, 267, 543, 9224, 563, 273, 526, 7160, 267, 15428, 543, 23762, 269, 8191, 1242, 8144, 689, 519, 4436, 563, 268, 623, 269, 808, 269, 2677, 5435, 912, 302, 324, 12320, 637, 669, 597, 17790, 525, 269, 476, 274, 12531, 269, 8303, 267, 595, 269, 26890, 269, 2677, 5435, 267, 606, 17886, 910, 5197, 274, 269, 5403, 21065, 748, 8313, 676, 2473, 32667, 645, 747, 520, 630, 10082, 272, 268, 6245, 273, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16035, 267, 1216, 267, 610, 4568, 1040, 2290, 1439, 540, 519, 8546, 568, 6534, 547, 519, 5790, 267, 543, 519, 824, 1439, 568, 7923, 267, 1210, 8465, 8685, 532, 547, 519, 2604, 7148, 269, 634, 3017, 538, 2604, 786, 2014, 519, 5714, 547, 4473, 538, 835, 1850, 540, 519, 772, 630, 1492, 2539, 2604, 2427, 264, 543, 6749, 538, 519, 824, 630, 1492, 2362, 2604, 2427, 1040, 634, 3017, 538, 519, 15627, 540, 519, 1079, 5011, 568, 6462, 676, 519, 2604, 3017, 269, 901, 2604, 3017, 568, 1644, 547, 519, 4463, 540, 519, 5714, 676, 519, 8652, 18878, 3830, 630, 289, 1716, 537, 961, 529, 3830, 609, 6991, 3160, 547, 4642, 2567, 630, 275, 264, 3245, 26169, 269, 630, 275, 264, 649, 666, 1294, 602, 585, 1022, 2016, 630, 12061, 2173, 8221, 264, 5714, 267, 519, 2604, 693, 1022, 1377, 267, 554, 267, 568, 519, 1482, 269, 9747, 519, 3604, 538, 519, 2157, 540, 519, 5714, 538, 519, 772, 8546, 666, 581, 1644, 2047, 547, 519, 3017, 538, 2604, 676, 26169, 269, 630, 275, 1040, 4595, 519, 12862, 538, 812, 18852, 616, 22424, 816, 1043, 267, 543, 8904, 949, 581, 2808, 3586, 936, 519, 3259, 540, 519, 812, 10309, 267, 649, 666, 3362, 11753, 26169, 269, 630, 275, 264, 547, 1205, 281, 630, 276, 264, 1141, 815, 623, 272, 815, 623, 273, 815, 5860, 540, 519, 5714, 538, 812, 10309, 2604, 693, 1377, 554, 272, 2604, 693, 1377, 554, 273, 476, 273, 692, 763, 4137, 693, 519, 1318, 4564, 513, 2604, 7148, 693, 1448, 476, 274, 7923, 547, 513, 772, 8546, 812, 10309, 602, 568, 1930, 547, 519, 5790, 267, 623, 273, 269, 9747, 623, 274, 568, 519, 11979, 2604, 538, 519, 2842, 15993, 267, 623, 273, 568, 11626, 2604, 267, 543, 623, 272, 568, 930, 13591, 2604, 630, 7474, 649, 786, 1397, 16172, 568, 5111, 3160, 547, 623, 274, 1040, 3371, 649, 666, 4019, 519, 8652, 18878, 3830, 7466, 267, 2899, 547, 519, 6241, 540, 2011, 1063, 623, 274, 543, 623, 272, 267, 2899, 1586, 547, 519, 6241, 540, 812, 10309, 5714, 1063, 623, 272, 543, 623, 273, 269, 3807, 7311, 519, 3830, 14553, 607, 621, 568, 2854, 267, 649, 723, 1384, 3602, 692, 284, 25883, 323, 3748, 540, 15993, 5714, 630, 514, 713, 2013, 2011, 1040, 5860, 540, 812, 10309, 5714, 630, 514, 713, 2013, 1216, 6393, 1012, 1403, 649, 9192, 519, 4834, 649, 666, 3313, 519, 15993, 2604, 689, 1384, 1607, 3830, 6645, 721, 519, 3017, 1063, 11626, 2604, 630, 303, 273, 264, 543, 519, 15993, 2604, 267, 630, 303, 274, 1040, 1717, 267, 952, 649, 1413, 693, 519, 3830, 5402, 267, 649, 666, 1294, 602, 952, 519, 15993, 5714, 568, 2011, 267, 519, 5860, 540, 2011, 568, 1454, 267, 1454, 1447, 982, 519, 5860, 540, 519, 812, 10309, 5714, 267, 1547, 32114, 519, 812, 10309, 13740, 616, 711, 1932, 1279, 267, 568, 540, 1931, 2073, 1287, 649, 666, 10714, 519, 1101, 2165, 543, 12446, 693, 519, 2838, 1267, 269, 898, 568, 6697, 547, 14322, 602, 623, 272, 815, 623, 274, 267, 865, 649, 723, 281, 630, 277, 2020, 11854, 6900, 32322, 30285, 338, 326, 264, 634, 5860, 540, 513, 5714, 5258, 676, 519, 5860, 540, 606, 6697, 2179, 540, 1216, 568, 1572, 519, 1808, 8904, 267, 610, 630, 278, 264, 7151, 281, 589, 16035, 3046, 10309, 1568, 676, 8380, 16035, 883, 513, 6806, 8546, 543, 12679, 1154, 621, 543, 8380, 519, 1930, 1439, 538, 513, 13111, 540, 16035, 269, 9747, 519, 2604, 593, 519, 13111, 2627, 568, 11626, 267, 543, 519, 2604, 593, 519, 5580, 2627, 540, 519, 6241, 540, 16035, 568, 4642, 2094, 621, 568, 538, 513, 12511, 269, 1403, 649, 1374, 622, 519, 2627, 540, 519, 13111, 607, 1448, 476, 272, 267, 543, 519, 5580, 2627, 540, 519, 16035, 6241, 607, 1448, 476, 273, 267, 649, 666, 2328, 1384, 2171, 1131, 899, 547, 1265, 267, 519, 3046, 6248, 2542, 585, 519, 3044, 5790, 693, 4262, 7400, 269, 1280, 938, 1966, 267, 623, 273, 815, 476, 271, 2094, 621, 568, 513, 12511, 267, 630, 933, 786, 8263, 621, 568, 513, 12511, 264, 543, 519, 1657, 3830, 3587, 1384, 1012, 634, 1808, 8904, 540, 16035, 568, 476, 1724, 269, 6795, 279, 269, 1403, 649, 946, 2475, 22232, 4559, 649, 723, 1384, 17798, 519, 2604, 693, 4262, 7400, 538, 513, 3044, 5790, 568, 11280, 607, 476, 3066, 269, 10844, 6279, 540, 16035, 269, 1677, 1205, 519, 1483, 2604, 596, 991, 547, 6460, 602, 1297, 547, 3952, 267, 543, 1287, 9062, 676, 519, 2597, 5860, 540, 16035, 630, 610, 519, 1808, 8904, 2053, 519, 5860, 540, 1216, 2053, 519, 14965, 3586, 1040, 2368, 1808, 28040, 885, 540, 6093, 812, 10309, 12862, 616, 281, 4826, 476, 272, 269, 876, 1656, 538, 2013, 707, 11842, 281, 22358, 476, 1724, 269, 276, 4817, 10979, 476, 271, 269, 10844, 6599, 2643, 15850, 476, 271, 269, 10037, 8048, 476, 1556, 269, 274, 5484, 345, 2940, 476, 271, 269, 6434, 275, 277, 1773, 11294, 636, 476, 2641, 269, 275, 13937, 13238, 476, 271, 269, 6924, 9197, 8775, 13813, 476, 271, 269, 9262, 634, 5860, 540, 1216, 568, 281, 2475, 910, 476, 272, 269, 280, 2412, 22376, 7714, 270, 1111, 274, 476, 275, 16038, 910, 476, 1911, 271, 4846, 8276, 274, 692, 18204, 7992, 12672, 537, 961, 529, 17817, 634, 11186, 1106, 540, 12672, 537, 961, 529, 3830, 568, 2016, 676, 26169, 269, 630, 274, 1040, 1284, 1131, 1631, 899, 547, 4019, 602, 3830, 547, 7098, 17871, 2095, 2042, 269, 769, 713, 2013, 966, 786, 711, 581, 4642, 267, 543, 538, 1249, 666, 581, 3833, 1804, 269, 1703, 616, 1614, 2474, 538, 519, 3830, 267, 546, 303, 270, 23463, 966, 546, 309, 267, 575, 546, 327, 294, 269, 4595, 649, 917, 575, 607, 513, 1599, 540, 554, 294, 607, 3964, 538, 519, 4901, 540, 519, 5790, 267, 519, 2063, 1079, 2474, 666, 581, 7471, 2047, 269, 1717, 267, 519, 1101, 3112, 581, 7471, 2394, 649, 917, 875, 519, 5860, 9775, 609, 2604, 269, 9182, 972, 1590, 581, 930, 6935, 2073, 263, 303, 264, 602, 568, 1634, 1354, 649, 666, 11753, 519, 3830, 269, 1284, 8275, 602, 538, 1082, 2665, 540, 1719, 267, 649, 949, 581, 7231, 609, 5266, 1164, 11250, 609, 2370, 1689, 538, 15820, 269, 31962, 602, 519, 2063, 942, 649, 1031, 713, 3830, 649, 1185, 4642, 6991, 543, 5458, 2242, 538, 15820, 256, 9747, 519, 2063, 2165, 729, 1804, 1317, 540, 519, 1804, 2242, 538, 15820, 269, 2060, 1507, 2242, 538, 15820, 267, 909, 547, 1896, 9937, 540, 7397, 267, 519, 2063, 2165, 538, 519, 3830, 666, 581, 16053, 269, 9747, 649, 723, 519, 4389, 1106, 540, 519, 11186, 1106, 540, 12672, 537, 961, 529, 3830, 1384, 263, 279, 2020, 2171, 666, 11753, 713, 3830, 896, 10054, 2404, 609, 1079, 2027, 2665, 269, 634, 1101, 10169, 25516, 267, 543, 519, 2034, 1447, 865, 269, 8865, 476, 272, 910, 7981, 8865, 910, 769, 4818, 816, 1043, 10046, 634, 1034, 1455, 1106, 540, 519, 7471, 12672, 537, 961, 529, 3830, 568, 585, 519, 2027, 2013, 540, 22424, 816, 1043, 2095, 269, 7201, 713, 13429, 267, 2073, 815, 3586, 267, 543, 26169, 269, 630, 279, 264, 568, 3362, 7471, 630, 28387, 519, 8560, 540, 713, 2013, 1040, 1284, 1058, 849, 3314, 602, 26169, 269, 630, 274, 264, 543, 8754, 26169, 269, 630, 279, 264, 729, 6508, 585, 2095, 2059, 513, 20928, 865, 602, 12672, 537, 961, 529, 3830, 568, 11658, 547, 602, 3510, 269, 2353, 602, 1373, 1767, 267, 952, 519, 5860, 568, 10924, 3586, 267, 1287, 519, 1657, 3830, 568, 7471, 547, 2285, 281, 769, 4818, 816, 1043, 12672, 537, 961, 529, 17817, 692, 263, 280, 2020, 10112, 636, 6877, 281, 476, 272, 269, 12833, 4593, 573, 630, 7224, 25297, 264, 910, 2094, 1152, 4229, 1813, 547, 12503, 941, 2808, 476, 273, 269, 769, 4818, 816, 1043, 2095, 910, 2073, 815, 1526, 476, 274, 269, 10046, 2059, 513, 20928, 476, 275, 853, 1737, 344, 2095, 26479, 281, 476, 272, 269, 476, 273, 269, 476, 274, 269, 634, 2604, 623, 815, 853, 1738, 2604, 634, 2604, 623, 271, 815, 853, 1725, 566, 2604, 634, 7274, 815, 6422, 2604, 692, 14240, 630, 274, 264, 6585, 585, 782, 2095, 20816, 267, 22424, 816, 1043, 610, 14771, 1043, 269, 7053, 649, 666, 4063, 602, 952, 782, 519, 6908, 6050, 538, 519, 2095, 22132, 689, 930, 1455, 2095, 2783, 267, 1287, 12672, 537, 961, 529, 3830, 6585, 2429, 519, 2095, 269, 8865, 476, 273, 910, 7981, 8865, 910, 3281, 816, 1043, 10046, 630, 3674, 550, 22241, 910, 1520, 328, 629, 1738, 264, 769, 1931, 547, 11753, 26169, 269, 630, 279, 264, 585, 519, 2013, 1141, 519, 5860, 568, 711, 3586, 267, 649, 1590, 3313, 875, 519, 5860, 2242, 609, 2604, 269, 1403, 649, 8263, 1978, 2175, 593, 519, 2095, 267, 971, 607, 476, 272, 264, 1100, 25297, 630, 325, 9689, 1070, 1572, 606, 568, 550, 22241, 1184, 267, 543, 476, 273, 264, 1100, 3002, 3773, 610, 3144, 2476, 267, 1572, 606, 740, 328, 629, 1738, 1184, 267, 1287, 513, 4341, 896, 799, 519, 5714, 4632, 13789, 568, 2016, 676, 519, 3830, 281, 630, 1015, 264, 1141, 623, 815, 2073, 284, 476, 472, 284, 2604, 5860, 5223, 540, 1808, 646, 1846, 815, 476, 272, 269, 275, 585, 2011, 692, 2005, 568, 1152, 1271, 547, 917, 602, 971, 513, 4341, 6818, 267, 543, 602, 621, 568, 513, 1434, 19406, 540, 875, 519, 2604, 543, 5860, 616, 1644, 269, 1403, 530, 4194, 585, 519, 5860, 649, 1205, 281, 630, 1556, 264, 1284, 666, 1631, 12990, 26169, 269, 630, 1556, 264, 883, 26169, 269, 630, 279, 264, 865, 602, 649, 666, 11753, 621, 780, 267, 865, 602, 692, 1012, 1547, 1879, 519, 8673, 1579, 1513, 10484, 933, 723, 519, 1739, 7471, 1106, 540, 12672, 537, 961, 529, 3830, 281, 3281, 816, 1043, 12672, 537, 961, 529, 17817, 692, 263, 1321, 2020, 10112, 636, 6877, 281, 476, 272, 269, 6348, 8686, 4593, 748, 476, 273, 269, 1520, 328, 629, 1738, 267, 1772, 550, 22241, 476, 274, 269, 853, 1737, 344, 2095, 26479, 281, 634, 2837, 570, 815, 2199, 2837, 630, 11274, 5193, 264, 634, 2837, 570, 271, 815, 24715, 566, 2837, 630, 339, 17687, 950, 519, 5714, 568, 30281, 547, 1964, 2020, 11854, 539, 540, 14675, 17817, 630, 1321, 264, 3217, 593, 606, 4277, 1106, 952, 649, 6338, 519, 1523, 540, 519, 3432, 540, 3280, 269, 9453, 6169, 267, 519, 3432, 540, 3280, 666, 581, 3254, 547, 581, 2016, 676, 281, 1547, 1403, 649, 946, 692, 1492, 1482, 740, 328, 629, 1738, 1184, 602, 649, 1031, 547, 1205, 26169, 269, 630, 1321, 264, 621, 568, 2653, 547, 1397, 602, 519, 3432, 540, 3280, 568, 5462, 689, 281, 630, 1724, 2020, 2171, 666, 4063, 602, 519, 3432, 540, 3280, 5673, 1152, 593, 519, 2837, 256, 1280, 1383, 267, 538, 513, 3044, 4262, 7400, 5790, 267, 519, 3432, 540, 3280, 568, 5462, 689, 1384, 2252, 649, 6338, 519, 3432, 540, 3280, 7215, 883, 519, 14771, 1043, 12672, 537, 961, 529, 3830, 267, 649, 666, 1685, 519, 1739, 4238, 1384, 263, 1691, 2020, 3602, 513, 815, 513, 271, 815, 570, 284, 570, 271, 815, 966, 284, 476, 472, 284, 692, 29985, 3432, 540, 3280, 3432, 540, 3280, 538, 24715, 566, 3148, 2199, 2837, 24715, 566, 2837, 2199, 2011, 14588, 539, 476, 272, 269, 275, 630, 7806, 1470, 540, 1808, 646, 1846, 2020, 14240, 281, 7557, 1297, 815, 519, 2199, 2011, 14588, 539, 936, 519, 2199, 3432, 540, 3280, 1384, 29973, 569, 267, 26169, 15301, 1691, 264, 3947, 721, 519, 2837, 3892, 538, 513, 14771, 1043, 2095, 609, 7557, 1297, 269, 1284, 991, 1631, 547, 3313, 519, 2604, 543, 5860, 14778, 609, 7557, 1297, 269, 1677, 798, 713, 649, 991, 547, 946, 519, 1184, 3830, 267, 26169, 269, 630, 1015, 1070, 543, 519, 3501, 3154, 1876, 267, 623, 815, 2073, 20670, 269, 634, 4909, 3830, 547, 12446, 693, 782, 891, 2164, 568, 2016, 676, 692, 10190, 692, 663, 692, 21607, 1154, 621, 782, 1927, 267, 649, 723, 519, 4834, 585, 14771, 1043, 2095, 281, 12307, 585, 3281, 816, 1043, 10046, 692, 263, 1428, 2020, 763, 1101, 3830, 1657, 568, 519, 7471, 14771, 1043, 12672, 537, 961, 529, 3830, 269, 634, 6967, 4834, 9305, 2604, 543, 5860, 547, 519, 5210, 5462, 689, 12672, 537, 961, 529, 3830, 269, 634, 2063, 3830, 630, 1721, 519, 2604, 264, 568, 519, 835, 602, 1058, 6140, 18613, 519, 22424, 816, 1043, 12672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16647, 263, 271, 994, 1038, 1948, 8073, 513, 2385, 6843, 630, 514, 4156, 264, 547, 519, 10457, 543, 2322, 621, 2063, 538, 519, 4835, 1592, 454, 1038, 1948, 901, 8952, 519, 4835, 1592, 849, 15044, 630, 2444, 2056, 264, 2094, 519, 476, 273, 1126, 2418, 2040, 4364, 616, 3677, 693, 1169, 21767, 3097, 1038, 1007, 11966, 815, 19219, 4590, 1038, 1007, 11966, 269, 21010, 273, 3799, 272, 19885, 273, 994, 1038, 4835, 301, 3941, 8266, 6910, 28956, 11966, 994, 8931, 3698, 5269, 290, 3941, 291, 1112, 27316, 267, 13892, 22698, 3941, 291, 1112, 2187, 825, 23288, 825, 901, 9695, 1599, 5932, 513, 670, 4428, 2006, 17683, 8675, 856, 540, 513, 3529, 454, 825, 18452, 912, 1038, 6843, 910, 1699, 6843, 538, 3529, 630, 8181, 6053, 519, 3597, 994, 1038, 3009, 910, 17683, 909, 547, 1699, 1747, 538, 3529, 454, 1038, 9479, 291, 1112, 910, 670, 4428, 2006, 17683, 8675, 630, 8181, 6053, 606, 8900, 8675, 994, 8931, 825, 23288, 825, 952, 6843, 269, 18244, 2652, 1496, 14085, 267, 14085, 14158, 1038, 9479, 291, 1112, 19559, 1712, 269, 10420, 24557, 13892, 454, 825, 3116, 912, 1038, 5269, 290, 3941, 291, 1112, 27316, 269, 18244, 314, 271, 3910, 13892, 22065, 271, 3299, 322, 3941, 291, 1112, 264, 1948, 10707, 547, 519, 4130, 1871, 1039, 476, 271, 454, 1038, 5269, 290, 3941, 291, 1112, 27316, 269, 18244, 314, 272, 3910, 13892, 22065, 272, 3299, 322, 3941, 291, 1112, 264, 1948, 10707, 547, 519, 3677, 1871, 1039, 476, 272, 28329, 3698, 7402, 1712, 17806, 29495, 22698, 3941, 291, 1112, 2187, 825, 23288, 825, 901, 1599, 1958, 3941, 513, 2016, 1257, 267, 1210, 519, 3177, 17683, 8675, 454, 825, 18452, 912, 1038, 1257, 281, 513, 5569, 454, 1038, 9479, 291, 1112, 281, 630, 295, 4428, 2006, 264, 17683, 8675, 454, 825, 19243, 281, 23876, 1257, 267, 513, 5569, 540, 1412, 272, 781, 543, 1412, 271, 781, 454, 825, 23288, 825, 23876, 815, 1412, 7055, 825, 585, 524, 538, 1257, 912, 1038, 23876, 23785, 322, 3941, 291, 1112, 314, 322, 2639, 825, 2132, 23876, 692, 3698, 5463, 1712, 17806, 29495, 267, 327, 551, 305, 2393, 2187, 825, 23288, 825, 901, 1599, 1232, 3941, 513, 670, 4428, 2006, 23876, 1257, 267, 1210, 519, 9757, 670, 4428, 2006, 3529, 454, 825, 18452, 912, 1038, 1257, 281, 513, 5569, 540, 1412, 272, 781, 543, 1412, 271, 262, 23876, 609, 513, 8675, 2813, 689, 519, 3177, 3529, 454, 1038, 554, 551, 281, 670, 4428, 2006, 32017, 10326, 3597, 6843, 454, 825, 19243, 281, 1232, 10757, 1257, 5569, 454, 825, 23288, 825, 1232, 10757, 815, 1412, 7055, 825, 1699, 11966, 815, 554, 551, 305, 2393, 454, 825, 585, 562, 538, 1257, 912, 1038, 1699, 11966, 815, 1699, 11966, 269, 18244, 27776, 3799, 22708, 1038, 952, 1699, 11966, 269, 18244, 2652, 314, 14085, 267, 14085, 14158, 2018, 1232, 10757, 23785, 9690, 11966, 269, 10420, 454, 2018, 1699, 11966, 815, 554, 551, 305, 2393, 454, 825, 2132, 1232, 10757, 454, 604, 6449, 4067, 1029, 2652, 257, 1029, 10852, 28751, 825, 609, 1930, 2891, 24711, 15058, 5091, 1046, 1145, 17902, 2580, 834, 337, 321, 8442, 607, 535, 912, 1038, 1257, 815, 535, 18667, 10797, 825, 1257, 815, 1257, 19709, 13892, 10797, 825, 735, 8266, 815, 29129, 825, 1347, 338, 815, 1592, 263, 9792, 263, 1911, 271, 267, 5611, 876, 267, 4335, 4917, 825, 585, 562, 538, 1347, 338, 912, 1038, 1257, 8512, 658, 815, 1257, 11468, 333, 2639, 1038, 10822, 17806, 815, 10822, 263, 516, 706, 576, 10857, 10033, 1535, 267, 586, 281, 476, 16348, 20080, 20742, 267, 630, 867, 6262, 264, 585, 524, 538, 1257, 8512, 658, 1070, 476, 271, 11723, 1038, 1954, 336, 291, 1112, 815, 5192, 293, 15968, 29495, 8512, 658, 994, 1038, 554, 551, 305, 2393, 815, 670, 4428, 2006, 290, 5317, 21698, 6600, 516, 336, 291, 1112, 2020, 1038, 9479, 291, 1112, 815, 31460, 1038, 5269, 290, 3941, 291, 1112, 22607, 551, 305, 2393, 10086, 3299, 322, 3941, 291, 1112, 2020, 1038, 554, 4428, 2006, 17806, 815, 7402, 1712, 17806, 29495, 8512, 658, 22698, 3941, 291, 1112, 9239, 1038, 1232, 10757, 815, 5463, 1712, 17806, 22607, 4428, 2006, 17806, 267, 327, 551, 305, 2393, 994, 27030, 1038, 13496, 815, 630, 476, 272, 24179, 6352, 22607, 4428, 2006, 17806, 8358, 6352, 6357, 514, 17806, 4297, 3738, 265, 1911, 454, 1038, 735, 8266, 6910, 263, 4818, 1833, 2020, 1038, 1820, 3488, 15253, 1833, 815, 2715, 15545, 272, 325, 348, 260, 8339, 8971, 263, 4818, 1833, 4297, 8528, 825, 1104, 21267, 28272, 607, 12301, 692, 825, 12301, 8807, 2682, 4590, 825, 12301, 19502, 263, 577, 1513, 267, 4818, 8266, 994, 825, 12301, 26942, 263, 12148, 994, 825, 12301, 11859, 16932, 3488, 13142, 3030, 262, 5148, 12301, 269, 29786, 3488, 15253, 1833, 15580, 630, 8472, 5073, 825, 12301, 20481, 263, 23026, 25716, 994, 0, 5035, 21912, 8266, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2212, 22561, 2187, 1038, 1582, 23584, 815, 2212, 454, 1038, 1582, 25915, 815, 476, 271, 16963, 825, 1219, 8900, 4311, 2187, 1038, 952, 711, 1582, 23584, 912, 2018, 2132, 3020, 454, 1038, 2132, 7301, 692, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 1820, 8217, 4311, 2187, 1038, 1699, 815, 1582, 23584, 454, 1038, 952, 711, 1699, 912, 2018, 1820, 2891, 8266, 568, 8900, 5602, 1038, 3116, 912, 2018, 1247, 1699, 912, 3546, 1820, 2891, 11966, 281, 14307, 1699, 27841, 994, 3546, 1699, 815, 1699, 12785, 454, 1038, 1820, 4590, 1038, 2132, 692, 825, 1219, 7696, 4311, 267, 6843, 2187, 1038, 952, 711, 1582, 23584, 912, 2018, 1582, 23584, 815, 6843, 454, 2018, 1582, 25915, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1699, 815, 1582, 23584, 454, 2018, 1247, 1699, 12785, 912, 3546, 1699, 815, 1699, 12785, 454, 2018, 1699, 12785, 815, 6843, 454, 2018, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 7696, 318, 8218, 940, 4311, 267, 6843, 2187, 1038, 952, 711, 1582, 23584, 912, 2018, 1582, 23584, 815, 9039, 454, 2018, 1582, 25915, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 6843, 12785, 815, 1582, 23584, 454, 2018, 1582, 23584, 815, 6843, 454, 2018, 1582, 25915, 6834, 476, 272, 692, 825, 1219, 7696, 318, 12898, 4311, 267, 6843, 267, 1310, 11966, 2187, 1038, 1699, 815, 1582, 23584, 692, 1038, 952, 1699, 27841, 2652, 1310, 11966, 27841, 912, 2018, 6843, 12785, 815, 1699, 12785, 454, 2018, 1699, 12785, 815, 6843, 454, 2018, 1582, 25915, 6834, 476, 272, 454, 2018, 2132, 454, 1038, 3116, 912, 2018, 1247, 1699, 543, 1699, 12785, 912, 3546, 952, 1699, 12785, 27841, 2652, 1310, 11966, 27841, 912, 7386, 6843, 12785, 815, 1699, 12785, 12785, 454, 7386, 1699, 12785, 12785, 815, 6843, 454, 7386, 1582, 25915, 6834, 476, 272, 454, 7386, 2132, 454, 3546, 3116, 912, 7386, 1699, 815, 1699, 12785, 692, 825, 1219, 4894, 4311, 267, 6843, 2187, 1038, 1948, 2252, 19219, 602, 649, 616, 3843, 547, 4894, 621, 781, 2212, 454, 1038, 952, 1582, 23584, 543, 1582, 23584, 27841, 2652, 6843, 27841, 912, 2018, 1582, 23584, 815, 1582, 23584, 12785, 454, 2018, 1582, 25915, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 1699, 815, 1582, 23584, 454, 2018, 1247, 1699, 543, 1699, 12785, 912, 3546, 952, 1699, 12785, 27841, 2652, 6843, 27841, 912, 7386, 1699, 12785, 815, 1699, 12785, 12785, 454, 7386, 1582, 25915, 20699, 476, 272, 454, 7386, 2132, 454, 3546, 3116, 912, 7386, 1699, 815, 1699, 12785, 692, 825, 1219, 1402, 4311, 2187, 1038, 1699, 815, 1582, 23584, 454, 1038, 952, 1699, 543, 711, 1699, 12785, 912, 2018, 1582, 23584, 815, 7183, 454, 2018, 1582, 25915, 815, 476, 271, 454, 2018, 2132, 454, 1038, 3116, 912, 2018, 1247, 1699, 543, 1699, 12785, 912, 3546, 952, 711, 1699, 12785, 12785, 912, 7386, 1699, 12785, 815, 7183, 454, 7386, 1582, 25915, 20699, 476, 272, 454, 7386, 2132, 454, 3546, 3116, 912, 7386, 1699, 815, 1699, 12785, 7531, 0, 258, 1477, 258, 4936, 717, 2131, 327, 2006, 32017, 11644, 476, 275, 270, 277, 270, 1240, 1477, 258, 19005, 269, 613, 16223, 2006, 287, 326, 21166, 2593, 1477, 258, 21506, 258, 13517, 281, 901, 1982, 14509, 1257, 689, 513, 3758, 543, 7024, 519, 12523, 540, 21506, 258, 15235, 453, 718, 519, 1913, 538, 27312, 2262, 1293, 1931, 269, 21506, 258, 20930, 21506, 258, 8074, 281, 31603, 1315, 7318, 593, 5124, 476, 274, 269, 277, 269, 276, 1477, 258, 1477, 258, 6165, 281, 524, 24097, 285, 7090, 2999, 19507, 518, 285, 270, 23054, 18258, 1477, 258, 1477, 258, 1477, 258, 453, 13706, 513, 9859, 3113, 540, 1507, 8870, 2418, 267, 1141, 1142, 8870, 568, 513, 2318, 1297, 1477, 258, 453, 453, 663, 1142, 8870, 568, 2189, 269, 3962, 2189, 8870, 6843, 814, 4642, 610, 811, 1126, 9136, 23228, 258, 453, 2237, 476, 274, 3252, 602, 6769, 258, 453, 272, 269, 8073, 513, 6843, 538, 513, 3113, 23228, 258, 453, 273, 269, 23453, 338, 513, 6843, 607, 513, 1126, 540, 606, 4540, 6843, 23228, 258, 453, 274, 269, 7179, 513, 3113, 23228, 258, 453, 2710, 711, 946, 606, 4540, 3113, 5399, 269, 1411, 991, 547, 2328, 519, 476, 274, 3252, 6769, 258, 453, 272, 269, 8073, 28956, 6843, 609, 606, 8870, 1871, 3418, 258, 453, 273, 269, 23453, 630, 27161, 607, 1126, 540, 606, 4540, 6843, 3418, 258, 453, 274, 269, 7179, 630, 23054, 3418, 258, 453, 8620, 543, 23453, 1590, 2327, 538, 513, 1893, 268, 21355, 11703, 1259, 602, 519, 3113, 568, 1035, 5670, 545, 910, 513, 6843, 1477, 258, 453, 453, 332, 755, 711, 2047, 610, 18549, 1448, 547, 3294, 23228, 258, 5897, 3698, 1820, 20877, 28399, 22610, 9041, 4486, 538, 15044, 263, 318, 23054, 269, 12399, 3890, 8029, 453, 13537, 2891, 24001, 9847, 15079, 2668, 8971, 263, 318, 4486, 267, 1820, 14399, 263, 318, 23054, 314, 318, 4486, 316, 4297, 10142, 3698, 1820, 14399, 263, 318, 27161, 8029, 14851, 711, 9041, 27161, 281, 21506, 453, 16596, 834, 5591, 5753, 257, 21506, 28432, 281, 21506, 453, 16596, 834, 2437, 269, 21860, 19304, 263, 318, 343, 264, 585, 9041, 343, 538, 9041, 27161, 10142, 258, 22056, 3113, 6843, 1477, 3698, 8073, 263, 318, 333, 8029, 453, 14682, 1429, 314, 318, 333, 316, 815, 32582, 5897, 258, 1477, 258, 2638, 519, 1165, 334, 12976, 6769, 258, 476, 272, 269, 1582, 910, 3277, 1338, 1477, 258, 476, 273, 269, 2620, 8100, 21506, 3698, 814, 290, 5670, 673, 8269, 263, 318, 4486, 267, 9041, 1998, 8029, 453, 318, 637, 815, 8771, 5897, 453, 258, 1744, 9994, 2638, 476, 272, 23228, 453, 258, 13425, 952, 1201, 1716, 1424, 3294, 1477, 14851, 9041, 1998, 2652, 9041, 4486, 6769, 453, 16596, 6936, 5897, 453, 258, 13719, 11571, 630, 1993, 1098, 12723, 3113, 3418, 453, 258, 568, 2009, 1934, 547, 2656, 523, 24450, 3473, 800, 628, 332, 538, 930, 2665, 269, 21506, 453, 258, 630, 5408, 7778, 2630, 267, 538, 513, 20927, 540, 568, 21122, 2750, 1235, 3890, 1599, 3418, 453, 258, 952, 568, 1103, 9558, 12723, 20877, 263, 318, 4486, 267, 9041, 1998, 8029, 453, 258, 16596, 6936, 5897, 453, 258, 2620, 11571, 630, 20123, 850, 767, 3418, 14851, 568, 21122, 2750, 1235, 263, 318, 1998, 267, 9041, 4486, 8029, 453, 16596, 6936, 5897, 16596, 9041, 637, 5897, 258, 1477, 258, 12213, 11571, 540, 519, 8371, 21506, 258, 3004, 2091, 519, 3113, 547, 1265, 952, 2385, 6818, 21506, 258, 634, 13429, 568, 602, 621, 1281, 267, 865, 1289, 9041, 18876, 6843, 1373, 17332, 607, 952, 621, 729, 513, 2385, 543, 3406, 21506, 258, 782, 9136, 11489, 2619, 568, 1336, 269, 1403, 1336, 910, 2132, 3020, 267, 952, 711, 910, 7301, 23228, 258, 1477, 258, 1280, 519, 19160, 540, 2773, 267, 713, 1900, 666, 581, 5594, 2656, 2989, 676, 1236, 6235, 519, 2620, 11571, 538, 930, 2665, 269, 21506, 258, 3371, 568, 875, 281, 8073, 513, 8272, 549, 1042, 3113, 630, 10520, 12723, 3113, 264, 1141, 782, 519, 8272, 549, 1042, 27061, 540, 519, 3312, 21506, 258, 3113, 781, 13026, 2281, 3112, 581, 8655, 676, 519, 4214, 540, 519, 1035, 5670, 545, 3113, 269, 21506, 258, 585, 1383, 281, 1403, 623, 732, 526, 476, 272, 814, 1126, 476, 275, 267, 476, 786, 825, 1477, 3698, 568, 21122, 2750, 1235, 263, 318, 8001, 267, 9041, 18876, 8029, 453, 318, 637, 815, 8771, 1477, 453, 258, 604, 10924, 2385, 814, 8900, 1592, 540, 1453, 910, 621, 568, 1100, 2385, 269, 567, 1477, 14851, 711, 9041, 23054, 314, 318, 8001, 316, 6769, 453, 16596, 8771, 1477, 28432, 6769, 453, 453, 258, 30185, 6069, 2385, 781, 8371, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 2986, 1576, 267, 538, 519, 4639, 267, 519, 2262, 20994, 1934, 568, 1031, 1152, 547, 21352, 519, 9514, 543, 711, 607, 606, 3284, 1108, 267, 855, 547, 513, 3162, 7489, 779, 10772, 267, 519, 2262, 538, 713, 2796, 568, 3808, 547, 31495, 2181, 1540, 607, 513, 3765, 31419, 543, 11991, 3284, 1108, 269, 769, 519, 3810, 13865, 4529, 540, 3162, 5607, 267, 519, 19849, 14536, 540, 519, 26575, 568, 5433, 676, 519, 10584, 1256, 1354, 519, 5048, 568, 9447, 267, 799, 568, 1946, 519, 782, 1271, 23249, 6818, 1310, 519, 6765, 1700, 1729, 1450, 519, 26575, 547, 4688, 3068, 269, 4634, 538, 519, 9000, 540, 606, 8763, 2262, 547, 21352, 519, 9514, 267, 519, 3159, 540, 5639, 267, 20017, 775, 540, 4633, 267, 3092, 269, 616, 14013, 1110, 4327, 865, 602, 519, 5048, 568, 29267, 626, 820, 762, 5103, 7508, 519, 4890, 2262, 1700, 527, 568, 782, 827, 519, 2796, 972, 2336, 7069, 1995, 538, 519, 4639, 814, 2141, 1044, 795, 18732, 585, 713, 2601, 269, 1306, 4166, 607, 594, 5873, 513, 5048, 540, 18349, 267, 519, 18913, 968, 28989, 827, 602, 256, 5608, 1256, 952, 1134, 5921, 607, 513, 1907, 547, 21352, 519, 9514, 267, 7475, 909, 8647, 607, 513, 840, 3319, 633, 10880, 3775, 6883, 803, 540, 519, 942, 547, 2161, 1945, 547, 602, 2306, 1250, 3312, 991, 2408, 1447, 1271, 982, 594, 949, 723, 7620, 1577, 593, 269, 898, 4667, 519, 1523, 540, 9494, 3068, 1281, 711, 2291, 538, 519, 4639, 269, 2107, 952, 621, 1281, 267, 1004, 538, 6643, 616, 711, 15520, 8036, 538, 930, 1808, 2081, 547, 948, 519, 824, 1268, 547, 4688, 3068, 563, 300, 8221, 593, 267, 519, 3791, 1259, 20994, 568, 1031, 568, 5310, 519, 1193, 836, 652, 540, 519, 2603, 269, 3371, 621, 568, 1031, 547, 6655, 6568, 269, 1879, 707, 5375, 3659, 3081, 602, 646, 568, 20994, 827, 707, 20744, 8009, 646, 568, 23187, 519, 5048, 602, 646, 7959, 707, 1928, 267, 543, 5310, 849, 6499, 596, 547, 917, 602, 646, 30128, 269, 901, 568, 666, 581, 2523, 14845, 585, 2576, 945, 568, 12155, 547, 4612, 519, 20994, 607, 835, 31827, 689, 513, 9228, 13337, 540, 519, 10584, 630, 1120, 334, 4896, 689, 3162, 5607, 1070, 799, 2356, 540, 1576, 1281, 711, 2291, 538, 713, 2796, 269, 901, 666, 1291, 547, 513, 2603, 540, 2212, 1606, 13062, 10248, 267, 950, 6217, 23294, 2045, 6835, 950, 596, 616, 538, 1928, 269, 1548, 519, 22946, 2336, 296, 993, 8746, 602, 4896, 23072, 519, 1482, 3460, 594, 1705, 538, 1250, 2038, 1000, 550, 625, 1131, 7494, 4324, 689, 2921, 513, 1906, 3764, 547, 1174, 930, 540, 891, 4914, 721, 1137, 540, 519, 2262, 20994, 269, 898, 6157, 1131, 4076, 15286, 803, 1700, 1492, 536, 22824, 18174, 594, 993, 1700, 5228, 10647, 8885, 899, 606, 17707, 538, 513, 19580, 6300, 16172, 1310, 594, 6410, 1934, 269, 0, 1607, 2985, 3096, 1543, 689, 9504, 543, 568, 13931, 896, 16671, 15760, 4149, 288, 563, 763, 2701, 742, 1752, 16390, 729, 513, 3009, 540, 11176, 25282, 543, 5129, 538, 519, 2296, 2749, 540, 2701, 742, 1752, 1063, 476, 6977, 279, 543, 476, 6942, 278, 269, 634, 3652, 941, 7620, 2813, 543, 15428, 676, 2701, 742, 1752, 25624, 11833, 267, 609, 5539, 585, 519, 4031, 8429, 547, 519, 2701, 742, 1752, 25624, 5948, 2390, 922, 5137, 538, 476, 5908, 278, 269, 634, 3652, 3262, 3564, 519, 2749, 6302, 547, 824, 15731, 543, 12205, 538, 519, 5087, 543, 4571, 4133, 540, 4789, 267, 1818, 873, 835, 540, 519, 1034, 2442, 3029, 540, 11176, 1282, 519, 476, 5908, 271, 338, 543, 476, 3583, 338, 563, 1103, 476, 5908, 274, 267, 519, 9241, 268, 11526, 5507, 2861, 25624, 5948, 630, 11902, 264, 3370, 922, 1378, 4031, 540, 11176, 269, 9737, 476, 5908, 274, 543, 476, 6942, 278, 267, 519, 14174, 543, 2701, 742, 1752, 4031, 1071, 7721, 13554, 267, 609, 1142, 3009, 693, 2053, 12018, 519, 824, 269, 11153, 3756, 941, 5129, 1063, 2701, 742, 1752, 543, 5507, 267, 1210, 1312, 5036, 540, 3652, 269, 2991, 1896, 13882, 267, 519, 1079, 9479, 941, 19618, 538, 476, 6942, 278, 950, 519, 2701, 742, 1752, 25624, 5948, 20366, 547, 9772, 519, 14174, 4031, 267, 1739, 519, 10073, 540, 513, 14207, 12235, 2987, 1876, 676, 519, 14174, 563, 763, 2701, 742, 1752, 3652, 1185, 513, 2101, 3310, 593, 875, 519, 2413, 3014, 540, 11176, 2919, 269, 7324, 824, 1919, 789, 5189, 883, 519, 4031, 540, 519, 3014, 519, 2035, 540, 15174, 267, 543, 1863, 737, 6506, 585, 535, 537, 3149, 269, 10632, 5129, 896, 519, 3652, 616, 849, 20295, 609, 519, 1646, 540, 16144, 267, 1739, 519, 20552, 540, 519, 4023, 6952, 267, 543, 519, 8129, 540, 519, 3804, 24010, 543, 4464, 7158, 269, 634, 1101, 8013, 11176, 29658, 729, 1312, 5129, 1210, 2701, 742, 1752, 16390, 563, 763, 9510, 6592, 11176, 6474, 538, 2701, 742, 1752, 7018, 538, 476, 9692, 275, 950, 513, 3014, 540, 4254, 11176, 729, 5129, 1063, 2701, 742, 1752, 543, 17368, 517, 630, 520, 519, 942, 513, 667, 8538, 903, 10921, 8498, 264, 602, 3576, 1747, 693, 645, 757, 5682, 269, 634, 3014, 16768, 1614, 2395, 267, 799, 729, 711, 8966, 585, 13292, 693, 519, 942, 269, 898, 729, 7074, 602, 4352, 972, 941, 930, 7063, 1100, 14633, 729, 7166, 1282, 519, 6474, 269, 634, 22548, 651, 5264, 10003, 674, 9760, 11833, 1185, 1044, 4730, 11176, 2094, 476, 6977, 273, 269, 634, 2749, 729, 1753, 547, 513, 1297, 540, 5026, 15731, 543, 519, 8560, 540, 25319, 1185, 3366, 547, 519, 28579, 540, 2701, 742, 1752, 595, 19897, 11833, 547, 2303, 519, 4070, 540, 645, 1090, 718, 28818, 563, 3528, 519, 476, 6977, 271, 338, 972, 941, 1896, 8747, 540, 11176, 5129, 538, 1857, 3506, 543, 15731, 2429, 4789, 269, 4256, 3652, 941, 3622, 538, 17739, 1043, 3544, 540, 519, 3506, 269, 1703, 519, 11176, 22157, 547, 581, 796, 6716, 2213, 543, 9425, 1876, 1652, 3756, 1634, 607, 4254, 11176, 269, 4014, 972, 616, 13292, 1063, 1507, 267, 3160, 22921, 6887, 621, 7283, 513, 12102, 7328, 2394, 519, 476, 5908, 271, 338, 563, 7628, 519, 5162, 3275, 538, 476, 6977, 276, 519, 5716, 540, 2701, 742, 1752, 595, 19897, 11833, 22555, 13016, 11176, 13292, 538, 1931, 547, 11677, 8516, 2394, 519, 1376, 540, 519, 1007, 4005, 269, 5565, 540, 519, 5716, 941, 26637, 1408, 595, 637, 19213, 630, 9264, 277, 1700, 4489, 278, 264, 543, 5261, 2776, 560, 630, 8146, 273, 1700, 6642, 276, 1070, 1312, 540, 7247, 941, 4535, 538, 31920, 269, 595, 637, 19213, 3357, 689, 513, 2701, 742, 1752, 1920, 540, 8988, 6676, 9755, 602, 18584, 1394, 1896, 5553, 269, 2991, 1373, 13473, 693, 519, 2749, 781, 2051, 5586, 5573, 3427, 646, 2968, 513, 1151, 545, 3218, 269, 2776, 560, 781, 1920, 1185, 6410, 689, 3840, 1247, 646, 729, 513, 1126, 269, 3571, 4651, 11751, 513, 9174, 22278, 602, 5261, 13604, 3576, 936, 269, 5637, 2367, 941, 16994, 5026, 5443, 269, 595, 637, 19213, 10150, 513, 1297, 540, 5026, 1519, 25319, 543, 4881, 269, 2776, 560, 5129, 25319, 585, 519, 2353, 4789, 2473, 296, 543, 849, 3061, 7134, 31920, 593, 1896, 14026, 269, 634, 22305, 1116, 5870, 540, 2701, 742, 1752, 674, 5861, 269, 3576, 1747, 593, 476, 2190, 5239, 476, 6977, 278, 693, 5244, 7615, 5600, 538, 519, 1016, 7875, 540, 4400, 7615, 269, 634, 3312, 22071, 1131, 1831, 513, 8511, 593, 5101, 7813, 10003, 269, 634, 11105, 2361, 729, 1031, 607, 741, 1101, 4730, 2666, 563, 347, 310, 1731, 529, 1830, 814, 3312, 1257, 1644, 547, 713, 2376, 281, 2008, 763, 1101, 4031, 540, 2701, 742, 1752, 25624, 11833, 941, 9516, 693, 513, 2489, 5870, 693, 519, 1520, 601, 12978, 23392, 593, 476, 2764, 5239, 476, 6977, 279, 269, 634, 8630, 781, 3764, 1433, 568, 1869, 2139, 267, 543, 5638, 2242, 1500, 1282, 519, 4031, 262, 1646, 269, 31838, 2934, 540, 519, 3652, 3769, 912, 763, 5169, 540, 519, 476, 6977, 279, 2701, 742, 1752, 3652, 814, 1044, 519, 1641, 540, 930, 4081, 7521, 269, 29542, 3954, 625, 1022, 1857, 1153, 3310, 267, 19163, 602, 519, 3652, 941, 6508, 689, 834, 728, 553, 3622, 1699, 538, 519, 9962, 2486, 2668, 769, 3210, 267, 19811, 814, 7152, 602, 972, 568, 513, 8101, 16726, 538, 2262, 532, 1063, 1082, 540, 519, 2701, 742, 1752, 3652, 543, 519, 4587, 681, 1872, 2421, 3427, 3652, 269, 476, 10871, 7506, 949, 849, 723, 5129, 513, 1909, 281, 1082, 540, 519, 3312, 2818, 540, 2701, 742, 1752, 674, 290, 941, 689, 519, 2199, 2051, 5586, 5573, 3427, 267, 799, 7957, 10696, 519, 737, 10107, 2511, 540, 519, 3014, 267, 2864, 982, 7829, 519, 3440, 269, 634, 737, 10107, 3014, 729, 849, 11342, 538, 519, 2199, 14252, 540, 6755, 626, 821, 543, 774, 14766, 7723, 563, 4263, 519, 8630, 781, 1985, 5993, 2489, 5870, 538, 5239, 476, 6977, 280, 267, 513, 12233, 729, 12912, 547, 23590, 519, 4031, 543, 5965, 873, 585, 8313, 269, 634, 4031, 941, 13604, 3370, 2663, 602, 1032, 609, 1152, 5634, 26941, 563, 4263, 519, 5993, 2489, 5870, 540, 2701, 742, 1752, 674, 290, 4371, 538, 5239, 476, 5908, 272, 267, 519, 1739, 22853, 941, 1500, 547, 519, 3652, 912, 3682, 1842, 1023, 547, 7333, 11319, 543, 547, 6338, 834, 709, 2471, 257, 941, 15653, 563, 347, 310, 1731, 529, 1830, 814, 3312, 1257, 1644, 547, 713, 2376, 281, 2008, 4002, 476, 4029, 5130, 476, 5908, 273, 267, 2701, 742, 1752, 674, 290, 4371, 513, 5870, 693, 799, 513, 1007, 1305, 540, 3652, 729, 2808, 269, 634, 3652, 941, 9672, 835, 3018, 2663, 267, 543, 3370, 2663, 519, 1482, 1032, 607, 2701, 742, 1752, 674, 290, 781, 2034, 6101, 1305, 540, 4031, 634, 2101, 2242, 1500, 538, 519, 476, 5908, 273, 3652, 941, 912, 9515, 742, 1752, 674, 290, 11402, 519, 13193, 613, 538, 513, 6474, 540, 476, 1704, 5412, 476, 5908, 271, 267, 950, 519, 8630, 5129, 1996, 519, 476, 6812, 628, 31118, 267, 10888, 676, 835, 3804, 543, 476, 1015, 13193, 2471, 547, 835, 3804, 543, 476, 276, 13193, 2471, 269, 18614, 540, 2663, 2701, 742, 1752, 674, 290, 3756, 1282, 476, 5908, 271, 543, 476, 5908, 272, 267, 2705, 267, 798, 711, 2446, 13193, 2471, 269, 2311, 519, 8630, 781, 5993, 5870, 538, 5239, 476, 5908, 272, 267, 607, 5018, 1657, 267, 2701, 742, 1752, 674, 290, 4481, 15653, 513, 11556, 547, 1039, 13193, 2471, 547, 922, 1378, 3009, 563, 7212, 519, 2701, 742, 1752, 4031, 10747, 519, 13193, 613, 16004, 513, 1390, 4308, 540, 16726, 547, 519, 6697, 3652, 540, 519, 661, 2023, 12197, 10794, 267, 972, 941, 849, 1713, 3604, 269, 2701, 742, 1752, 1500, 946, 540, 834, 709, 613, 17514, 257, 593, 519, 3804, 11060, 693, 513, 3845, 540, 476, 275, 18126, 630, 274, 269, 278, 544, 264, 689, 1142, 3804, 1790, 739, 269, 589, 13193, 613, 1223, 581, 20639, 676, 15700, 519, 3440, 1524, 1152, 1310, 621, 1185, 1044, 14736, 539, 1063, 519, 1079, 13193, 613, 17514, 267, 1510, 2469, 883, 519, 3804, 630, 292, 2023, 1705, 711, 946, 13193, 613, 17514, 267, 28498, 513, 13193, 613, 547, 581, 20639, 693, 1022, 3845, 689, 519, 3804, 1040, 2701, 742, 1752, 849, 6569, 661, 2023, 781, 10421, 602, 519, 22215, 6345, 945, 14736, 539, 519, 3440, 3297, 519, 3804, 11060, 1185, 547, 581, 834, 321, 1638, 1221, 257, 630, 339, 871, 1194, 1315, 544, 4954, 539, 1916, 1103, 519, 2701, 742, 1752, 476, 5908, 273, 3652, 267, 607, 693, 661, 2023, 267, 519, 13193, 613, 729, 5612, 4553, 676, 513, 1305, 1790, 19991, 538, 4395, 540, 3804, 9497, 821, 540, 519, 21108, 2427, 1590, 1796, 2022, 1079, 18126, 538, 4395, 540, 519, 3804, 16853, 20257, 769, 519, 661, 2023, 3014, 267, 649, 917, 689, 2143, 11673, 602, 713, 3510, 729, 10169, 2147, 547, 513, 24821, 2421, 32727, 332, 720, 563, 763, 1007, 4031, 941, 7550, 3592, 5612, 267, 609, 2701, 742, 1752, 6592, 607, 25588, 17368, 517, 593, 476, 2420, 5988, 476, 5908, 273, 676, 834, 821, 3804, 543, 835, 13193, 613, 547, 4986, 8487, 763, 476, 5908, 273, 4031, 267, 899, 1346, 540, 476, 6977, 279, 267, 1185, 1100, 11865, 585, 1055, 2515, 269, 1703, 568, 2963, 267, 2705, 267, 602, 2701, 742, 1752, 674, 290, 3323, 1210, 513, 3908, 1055, 2515, 1876, 607, 2038, 607, 476, 5908, 274, 269, 901, 1876, 729, 1869, 24215, 4617, 267, 8506, 1152, 835, 18545, 547, 581, 1377, 610, 6251, 547, 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 ]
[ 9141, 267, 4853, 1242, 3196, 543, 513, 16750, 267, 26093, 1379, 269, 898, 7710, 4798, 540, 2029, 267, 19525, 267, 543, 2123, 7004, 563, 10527, 8262, 3883, 540, 3163, 11470, 892, 12995, 676, 7788, 543, 11518, 966, 6387, 9288, 518, 630, 1001, 277, 994, 4407, 711, 513, 2582, 1433, 267, 713, 16320, 1108, 2882, 513, 3099, 540, 2110, 2984, 267, 930, 540, 799, 5490, 883, 519, 17088, 335, 6064, 9135, 269, 898, 779, 513, 1390, 1259, 547, 2263, 1114, 4589, 685, 12496, 540, 519, 9135, 1369, 513, 2582, 4015, 563, 1692, 547, 2328, 17088, 335, 6064, 1107, 3803, 4555, 454, 2026, 649, 666, 1294, 689, 782, 540, 519, 1657, 1344, 267, 17088, 335, 6064, 568, 5702, 1644, 547, 2848, 2086, 6064, 543, 8197, 8843, 1082, 4162, 563, 29012, 267, 621, 1256, 4422, 865, 2484, 607, 547, 16937, 513, 2603, 540, 519, 942, 267, 609, 1082, 2835, 9256, 930, 540, 1312, 11964, 883, 835, 563, 3719, 519, 11029, 3604, 543, 16082, 602, 798, 1683, 930, 15285, 616, 4502, 1373, 3222, 540, 543, 5830, 530, 5109, 547, 960, 1369, 519, 17088, 335, 6064, 9135, 267, 1058, 1631, 581, 1134, 9280, 547, 798, 865, 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 ]
[ 22184, 531, 4266, 269, 8616, 267, 519, 21487, 30300, 1513, 585, 930, 2601, 723, 6378, 519, 3017, 1063, 741, 14418, 16527, 1297, 532, 543, 519, 4168, 270, 13349, 16527, 1297, 532, 693, 476, 276, 6246, 267, 799, 2798, 547, 606, 22184, 531, 1032, 540, 476, 276, 4510, 14514, 267, 711, 476, 276, 3393, 14514, 269, 769, 27060, 267, 519, 3017, 1063, 18688, 543, 9460, 666, 581, 476, 276, 6246, 610, 476, 276, 4510, 585, 9460, 7389, 267, 476, 276, 4510, 610, 476, 276, 6246, 585, 14514, 7389, 267, 4470, 593, 519, 3923, 540, 519, 14418, 16527, 269, 769, 16444, 20092, 267, 519, 3017, 1063, 18688, 543, 9460, 568, 476, 276, 4510, 282, 519, 11706, 17767, 1079, 2010, 540, 3275, 281, 521, 573, 699, 531, 3923, 269, 634, 14271, 21288, 3275, 616, 1031, 547, 17492, 519, 1296, 1247, 519, 476, 2767, 16264, 521, 573, 699, 531, 2395, 267, 7258, 519, 476, 1321, 4191, 540, 519, 1990, 31821, 267, 616, 1031, 585, 4230, 25233, 9273, 282, 519, 2395, 540, 519, 3923, 616, 18886, 538, 1079, 30556, 543, 530, 22135, 563, 763, 476, 1428, 628, 540, 519, 14589, 532, 568, 519, 3540, 2407, 7599, 1554, 269, 634, 3540, 1007, 7599, 1554, 568, 519, 2063, 1554, 540, 519, 3923, 282, 1317, 540, 519, 538, 3147, 5596, 540, 519, 30300, 3740, 9819, 1949, 267, 519, 1611, 543, 1483, 1715, 7720, 976, 14626, 728, 269, 634, 1611, 1715, 9855, 9551, 525, 519, 1483, 1715, 9855, 282, 607, 519, 14271, 21288, 16264, 3923, 568, 476, 3066, 269, 276, 2395, 267, 519, 11706, 3096, 20367, 3275, 540, 476, 3066, 543, 476, 1789, 2395, 269, 15316, 6237, 8747, 540, 932, 3121, 590, 752, 541, 520, 20324, 584, 332, 3150, 11706, 11478, 2066, 1585, 4525, 540, 22163, 14913, 5607, 269, 9521, 8738, 332, 3150, 1949, 267, 28469, 10878, 267, 28469, 2473, 836, 543, 2672, 16223, 1054, 2967, 1949, 3277, 547, 519, 3275, 676, 2338, 267, 711, 676, 4408, 282, 713, 1797, 2542, 3504, 5931, 543, 1202, 18587, 538, 17289, 3340, 3586, 28858, 267, 711, 1175, 538, 1818, 2386, 835, 568, 5665, 585, 519, 2953, 3148, 267, 855, 585, 7648, 1369, 4525, 3294, 950, 1651, 2720, 687, 2014, 513, 8390, 538, 2259, 269, 1717, 267, 18095, 617, 1014, 3923, 1062, 267, 799, 5956, 609, 12540, 553, 15077, 320, 607, 519, 1101, 3923, 267, 7152, 676, 519, 4408, 543, 2338, 282, 519, 14418, 11706, 568, 513, 561, 684, 529, 6897, 11706, 538, 799, 519, 3275, 616, 1759, 593, 16264, 3275, 543, 1296, 616, 1759, 593, 3859, 1296, 563, 3080, 540, 922, 3119, 6859, 568, 547, 15222, 1125, 519, 16264, 851, 609, 519, 3859, 851, 269, 634, 16264, 3275, 12964, 540, 873, 267, 2874, 3124, 2299, 540, 476, 3066, 2395, 543, 476, 1789, 2395, 267, 971, 602, 513, 3339, 16264, 1032, 786, 2270, 476, 30500, 2395, 267, 607, 10353, 547, 519, 3859, 1032, 540, 9625, 18458, 269, 1839, 2395, 269, 4475, 267, 930, 1106, 540, 1840, 547, 519, 16264, 1032, 568, 2556, 282, 519, 2949, 4493, 585, 621, 568, 3177, 676, 9979, 540, 476, 6872, 1296, 269, 18479, 1597, 3063, 2395, 616, 17332, 538, 1169, 476, 6872, 1296, 267, 5722, 3063, 3275, 540, 476, 1789, 2395, 616, 17332, 538, 1169, 476, 866, 1296, 282, 713, 2488, 476, 21172, 866, 2347, 2395, 547, 1312, 30300, 1513, 269, 901, 476, 6872, 4458, 4783, 1131, 1683, 513, 1611, 1032, 540, 827, 476, 18458, 269, 25090, 277, 2395, 543, 513, 1611, 3923, 540, 827, 476, 3066, 269, 30019, 5392, 277, 2395, 267, 952, 711, 22621, 269, 1306, 971, 267, 519, 11706, 8591, 606, 954, 5632, 776, 3923, 538, 20014, 1296, 543, 3006, 606, 954, 5632, 776, 1554, 538, 1390, 20014, 1296, 282, 519, 954, 5632, 776, 3923, 711, 1152, 2953, 338, 519, 3259, 540, 519, 1032, 855, 2953, 338, 519, 7213, 6819, 5470, 540, 519, 3923, 547, 6708, 540, 3368, 513, 1554, 269, 634, 3328, 3259, 540, 519, 3923, 568, 2417, 22621, 676, 4946, 513, 1554, 547, 715, 599, 517, 454, 763, 15089, 27232, 1695, 328, 11706, 568, 513, 9341, 3859, 11706, 267, 1031, 538, 31881, 11297, 543, 568, 1759, 593, 519, 262, 21574, 1695, 10067, 320, 8339, 4446, 1695, 10067, 320, 729, 7768, 676, 519, 27566, 717, 32203, 543, 18922, 607, 519, 834, 23562, 10679, 3933, 2195, 2580, 621, 568, 513, 6648, 10452, 519, 2242, 538, 2470, 799, 616, 24829, 538, 519, 12964, 18881, 4783, 540, 519, 5729, 269, 634, 1032, 5956, 609, 476, 272, 595, 2867, 7222, 547, 476, 1691, 4728, 282, 519, 1101, 1032, 540, 519, 15089, 27232, 1695, 328, 25038, 6238, 538, 476, 16409, 280, 9460, 281, 519, 1032, 540, 519, 4332, 540, 29831, 15089, 752, 8061, 269, 634, 15089, 27232, 1695, 328, 25038, 568, 3957, 1310, 519, 13653, 540, 29831, 15089, 752, 8061, 269, 27566, 338, 723, 12926, 18931, 561, 27376, 1606, 6897, 30300, 1513, 281, 519, 15089, 27232, 1695, 328, 543, 10609, 1023, 320, 269, 27603, 267, 1312, 891, 30300, 1513, 4553, 519, 645, 1731, 1090, 328, 11706, 609, 519, 15089, 27232, 1695, 328, 1032, 4098, 593, 15576, 752, 18648, 534, 332, 20076, 543, 519, 10609, 1023, 320, 1032, 862, 9760, 609, 966, 9820, 752, 6062, 282, 519, 2409, 585, 12719, 519, 4098, 540, 519, 10609, 1023, 320, 5736, 941, 1759, 593, 519, 645, 1731, 1090, 328, 11706, 269, 634, 1032, 3259, 729, 519, 1482, 607, 519, 645, 1731, 1090, 328, 3859, 1032, 269, 4340, 547, 13082, 267, 519, 11706, 814, 12964, 16264, 3275, 602, 616, 5462, 676, 519, 16264, 5123, 267, 855, 24369, 3275, 538, 20014, 1296, 799, 2049, 1169, 476, 273, 1700, 274, 1296, 538, 519, 645, 1731, 1090, 328, 11706, 547, 5348, 322, 519, 16264, 11706, 609, 922, 3859, 11218, 563, 298, 599, 705, 3691, 12858, 919, 519, 10609, 1023, 320, 16527, 607, 26395, 269, 22108, 547, 519, 15089, 27232, 1695, 328, 16527, 723, 1044, 1500, 538, 8978, 6054, 269, 645, 7701, 19453, 15840, 611, 584, 7550, 519, 15089, 27232, 1695, 328, 11706, 538, 476, 14378, 271, 595, 269, 661, 269, 1310, 1010, 11802, 538, 11184, 16442, 2687, 547, 799, 519, 1032, 476, 14378, 271, 595, 269, 661, 269, 2968, 15089, 27232, 1695, 328, 476, 25240, 269, 1717, 267, 19453, 2829, 519, 4266, 540, 519, 11802, 607, 476, 1691, 2904, 476, 14378, 271, 9460, 269, 4340, 547, 667, 559, 698, 4275, 267, 645, 7701, 834, 11666, 4240, 12561, 519, 3275, 543, 519, 2395, 540, 519, 3275, 2687, 547, 519, 645, 1731, 1090, 328, 11706, 2668, 645, 7701, 19453, 15840, 611, 584, 20511, 539, 1007, 11113, 1572, 15089, 27232, 1695, 328, 269, 4173, 337, 2993, 2829, 269, 4014, 645, 7701, 949, 723, 29064, 713, 5736, 267, 621, 3112, 581, 14360, 538, 4207, 6054, 543, 1281, 711, 3100, 547, 723, 1044, 1031, 585, 6580, 2668, 4340, 547, 634, 7754, 20602, 12815, 543, 10558, 267, 621, 568, 717, 1014, 19453, 945, 834, 529, 519, 1101, 547, 946, 15089, 752, 20961, 328, 6341, 341, 1846, 2059, 609, 1346, 540, 645, 1731, 1090, 328, 6341, 341, 1846, 257, 538, 519, 3828, 926, 16223, 29831, 10609, 1023, 320, 269, 4340, 547, 7327, 3873, 267, 717, 1014, 19453, 729, 513, 23570, 328, 2278, 4535, 538, 476, 9264, 273, 269, 717, 1014, 19453, 5206, 519, 3828, 926, 16223, 29831, 10609, 1023, 320, 538, 476, 6245, 272, 282, 519, 15428, 15089, 27232, 1695, 328, 11706, 729, 2966, 676, 6022, 19453, 26192, 19789, 547, 5372, 519, 645, 1731, 1090, 328, 11706, 563, 763, 22184, 540, 713, 11706, 568, 519, 4332, 540, 519, 1101, 27566, 29831, 267, 15089, 752, 8061, 538, 476, 16409, 280, 543, 519, 15089, 27232, 1695, 328, 1032, 862, 1878, 593, 476, 272, 595, 2867, 269, 1715, 5729, 781, 4303, 8813, 12422, 593, 282, 519, 1376, 540, 1142, 3923, 568, 6378, 269, 4340, 547, 918, 19125, 267, 519, 3859, 6111, 540, 519, 15089, 27232, 1695, 328, 11706, 568, 5532, 547, 519, 15535, 20187, 3540, 11706, 282, 713, 568, 1317, 519, 15089, 2532, 327, 1695, 328, 11706, 3096, 519, 9341, 1032, 3079, 540, 1210, 519, 521, 573, 699, 531, 1032, 267, 1031, 538, 519, 645, 1731, 1090, 328, 11706, 610, 519, 2025, 15089, 27232, 1695, 328, 543, 10609, 1023, 320, 30300, 1513, 269, 634, 29567, 15089, 27232, 1695, 328, 11706, 729, 7550, 538, 476, 1960, 279, 855, 8045, 538, 476, 1220, 274, 676, 519, 26757, 668, 8643, 717, 6324, 342, 4673, 623, 4599, 8518, 752, 9730, 547, 3313, 519, 7389, 585, 1271, 27566, 2621, 282, 519, 11706, 729, 8045, 1282, 519, 590, 294, 15425, 24164, 540, 27566, 16159, 4515, 269, 17340, 25659, 19453, 14068, 2426, 541, 693, 28635, 1002, 16444, 12456, 323, 4821, 19300, 756, 538, 519, 4527, 540, 27566, 5718, 269, 15089, 27232, 1695, 328, 25038, 17767, 519, 10073, 2680, 267, 540, 476, 1960, 280, 9460, 267, 538, 519, 27566, 1686, 950, 590, 294, 15425, 5950, 519, 1101, 11706, 609, 18385, 6378, 7389, 538, 519, 23427, 25038, 269, 4475, 267, 519, 9273, 540, 713, 11706, 798, 711, 1036, 816, 1394, 689, 476, 1960, 280, 9460, 883, 519, 645, 1731, 1090, 328, 5736, 267, 4368, 525, 585, 782, 942, 538, 519, 2104, 563, 8722, 2137, 540, 519, 22731, 15089, 27232, 1695, 328, 11706, 281, 21964, 519, 4977, 23427, 1032, 2864, 982, 519, 28788, 699, 531, 1032, 595, 6817, 15089, 27232, 1695, 328, 1310, 29831, 15089, 752, 5729, 476, 272, 568, 519, 5729, 540, 29831, 15089, 752, 781, 17510, 269, 1306, 606, 1383, 267, 4989, 476, 1691, 267, 476, 1001, 280, 9460, 568, 15089, 27232, 1695, 328, 476, 4649, 272, 269, 1772, 9122, 593, 717, 18076, 328, 1107, 13600, 18780, 616, 3144, 689, 29831, 21081, 628, 19300, 756, 1230, 13935, 476, 276, 3933, 2195, 540, 476, 4029, 2395, 4553, 676, 476, 278, 3933, 2195, 540, 476, 1789, 2395, 2274, 777, 1032, 1169, 476, 275, 13012, 538, 799, 519, 2063, 3923, 814, 606, 3063, 1554, 10088, 1386, 676, 13019, 531, 28635, 6255, 538, 476, 1220, 274, 769, 476, 1001, 271, 267, 519, 26757, 668, 8643, 717, 6324, 342, 4673, 623, 4599, 8518, 752, 9730, 9168, 519, 11706, 865, 602, 519, 7389, 585, 519, 1376, 540, 519, 3275, 616, 1940, 762, 865, 602, 789, 14626, 728, 609, 519, 645, 1731, 1090, 328, 11706, 543, 4957, 519, 7389, 585, 1585, 27566, 15976, 865, 789, 616, 1759, 2390, 519, 16264, 5123, 282, 713, 814, 2813, 15784, 609, 930, 4703, 12561, 519, 3312, 476, 1220, 274, 4528, 1572, 519, 834, 300, 944, 15089, 27232, 1695, 328, 25038, 257, 543, 1866, 267, 519, 476, 1001, 271, 4528, 269, 1635, 476, 1001, 275, 267, 519, 590, 294, 15425, 1185, 22696, 5529, 519, 3312, 15089, 27232, 1695, 328, 11706, 689, 476, 1220, 274, 543, 26871, 1540, 547, 519, 645, 1731, 1090, 328, 11706, 2705, 621, 729, 1869, 3370, 896, 519, 2012, 540, 15089, 27232, 1695, 328, 563, 763, 27566, 4703, 17941, 621, 513, 1900, 3144, 896, 2604, 689, 519, 26757, 668, 8643, 13019, 8932, 18243, 269, 1703, 568, 930, 15784, 827, 519, 10343, 540, 519, 11706, 15587, 1851, 1978, 9922, 540, 519, 27566, 1158, 269, 590, 294, 15425, 7022, 267, 717, 984, 785, 19453, 7043, 578, 531, 267, 593, 476, 1724, 4728, 476, 1001, 279, 24016, 782, 27566, 338, 547, 1246, 519, 1699, 15089, 27232, 1695, 328, 11706, 282, 519, 3105, 590, 294, 15425, 5518, 1354, 7043, 578, 531, 267, 4515, 269, 17340, 25659, 19453, 14068, 2426, 541, 267, 6836, 547, 9029, 519, 13019, 531, 28635, 6255, 547, 8661, 519, 14512, 540, 29831, 717, 984, 785, 19453, 593, 476, 2537, 623, 2129, 607, 829, 519, 3312, 15089, 27232, 1695, 328, 11706, 267, 855, 519, 9029, 729, 17792, 282, 519, 13662, 294, 15425, 543, 513, 5354, 540, 519, 824, 575, 6324, 342, 4673, 4383, 906, 2066, 519, 1158, 616, 15852, 519, 9168, 4528, 540, 519, 11706, 19696, 602, 519, 590, 294, 15425, 26871, 1540, 547, 519, 645, 1731, 1090, 328, 11706, 269, 1358, 8044, 602, 538, 519, 645, 1731, 1090, 328, 11706, 267, 7389, 540, 1082, 575, 584, 20580, 2125, 14626, 728, 267, 7551, 2870, 10539, 1851, 519, 27566, 7754, 628, 269, 4340, 547, 13259, 2728, 19789, 807, 267, 519, 15089, 27232, 1695, 328, 11706, 4422, 1996, 519, 946, 540, 16264, 645, 1731, 1090, 328, 7389, 676, 519, 717, 32203, 2933, 543, 568, 30137, 267, 621, 5956, 609, 519, 1032, 540, 4332, 540, 454, 763, 6243, 540, 3624, 11706, 568, 519, 4013, 11706, 540, 519, 6243, 540, 3624, 269, 898, 568, 1031, 547, 1297, 519, 1296, 585, 4013, 5301, 1152, 538, 519, 15990, 1858, 1310, 476, 3707, 280, 267, 621, 729, 1031, 538, 519, 4457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7899, 540, 942, 547, 5965, 585, 602, 269, 1809, 3127, 568, 849, 2469, 547, 1205, 513, 3045, 983, 3859, 24256, 1454, 19692, 281, 538, 476, 1001, 280, 543, 476, 1708, 272, 563, 268, 476, 272, 1215, 1082, 17772, 2354, 525, 616, 972, 538, 476, 1708, 271, 538, 3127, 888, 268, 476, 273, 2201, 799, 4266, 1705, 3859, 24256, 2049, 538, 3127, 538, 476, 1708, 271, 888, 268, 476, 274, 4024, 972, 581, 513, 476, 274, 1554, 3859, 24256, 888, 268, 476, 275, 1215, 1082, 3859, 17772, 2354, 525, 616, 972, 538, 476, 1708, 271, 888, 268, 476, 276, 1772, 972, 1022, 1178, 7315, 538, 476, 1708, 271, 888, 268, 476, 277, 1772, 2221, 513, 3859, 24256, 888, 268, 476, 278, 1772, 3859, 24256, 5739, 888, 268, 476, 279, 1772, 1178, 7315, 7298, 538, 3127, 888, 268, 476, 280, 1548, 590, 1722, 320, 3400, 7315, 1058, 2057, 888, 268, 476, 1015, 4024, 513, 3859, 24256, 4755, 538, 476, 1708, 271, 888, 268, 476, 1556, 1215, 666, 594, 9108, 2070, 513, 3859, 24256, 888, 268, 476, 1321, 9701, 3859, 17772, 2354, 525, 1294, 888, 268, 476, 1724, 1772, 3859, 24256, 7298, 538, 3127, 2221, 888, 268, 476, 1691, 1772, 972, 606, 14232, 24256, 888, 268, 476, 1428, 1772, 3859, 24256, 7298, 538, 3127, 888, 1692, 1082, 17772, 2354, 525, 616, 972, 538, 476, 1708, 271, 538, 3127, 888, 22349, 25348, 12439, 543, 6607, 575, 1794, 619, 786, 581, 2111, 547, 4585, 3670, 17772, 2354, 525, 538, 476, 1708, 271, 267, 855, 1152, 1614, 540, 873, 616, 4397, 547, 581, 7298, 538, 3127, 269, 2755, 2185, 540, 891, 17772, 2354, 525, 786, 581, 16264, 267, 519, 6967, 1079, 616, 2469, 547, 581, 3859, 267, 772, 329, 329, 664, 2861, 808, 12685, 1690, 328, 25076, 779, 8111, 23734, 550, 3220, 14076, 754, 1905, 21531, 1662, 2871, 696, 1767, 563, 4002, 799, 4266, 1705, 3859, 24256, 2049, 538, 3127, 538, 476, 1708, 271, 888, 23530, 661, 743, 15199, 476, 1708, 271, 11261, 543, 5384, 538, 3127, 281, 634, 1101, 3859, 24256, 540, 476, 1708, 271, 786, 1491, 1747, 593, 4873, 476, 2641, 269, 901, 786, 581, 606, 3045, 983, 3859, 24256, 267, 1282, 799, 519, 9855, 786, 3382, 519, 6129, 689, 519, 8998, 6028, 513, 8258, 540, 1769, 7298, 538, 519, 6607, 563, 12663, 972, 581, 513, 476, 274, 1554, 3859, 24256, 888, 20606, 476, 1321, 267, 476, 14225, 276, 281, 4993, 267, 21600, 267, 18096, 267, 12548, 267, 17857, 267, 20274, 267, 23916, 267, 14967, 267, 17665, 543, 8419, 563, 1692, 1082, 3859, 17772, 2354, 525, 616, 972, 538, 476, 1708, 271, 888, 763, 1032, 476, 1708, 271, 568, 513, 1521, 585, 782, 17651, 12439, 543, 6607, 3766, 1794, 619, 607, 649, 616, 1305, 547, 7198, 513, 2698, 540, 476, 277, 17772, 2354, 525, 1107, 476, 275, 30803, 543, 476, 273, 9891, 563, 3674, 972, 1022, 1178, 7315, 538, 476, 1708, 271, 888, 4002, 4873, 476, 2641, 267, 476, 1708, 271, 267, 519, 1101, 3859, 24256, 610, 590, 1722, 320, 3400, 7315, 540, 519, 1032, 786, 2049, 269, 1323, 3045, 983, 3859, 24256, 4523, 950, 621, 568, 1715, 9855, 2443, 519, 7599, 568, 693, 513, 16264, 6843, 267, 865, 519, 3618, 267, 519, 7599, 267, 543, 519, 3141, 616, 13988, 538, 513, 2786, 1899, 563, 3674, 2221, 513, 3859, 24256, 888, 23530, 24256, 476, 1708, 271, 281, 634, 2063, 3859, 24256, 540, 519, 1032, 786, 1491, 1747, 2221, 267, 5412, 476, 1691, 269, 634, 3859, 24256, 786, 2253, 693, 476, 278, 281, 6734, 10681, 543, 2063, 2394, 476, 1321, 281, 2537, 993, 593, 5412, 476, 1428, 269, 634, 18477, 7613, 786, 581, 693, 922, 8445, 693, 476, 280, 281, 6246, 10681, 269, 634, 13074, 8653, 540, 9103, 1275, 568, 1079, 3764, 543, 4557, 7643, 563, 3674, 3859, 24256, 5739, 888, 7628, 513, 2698, 3859, 24256, 865, 1454, 540, 519, 3141, 568, 4988, 602, 513, 1268, 949, 581, 15673, 539, 547, 588, 732, 693, 621, 2047, 269, 898, 568, 2009, 547, 7985, 3978, 543, 8628, 3750, 3441, 676, 3168, 693, 1022, 1826, 540, 3859, 24256, 543, 972, 568, 1100, 2126, 269, 5753, 616, 2523, 693, 1981, 1813, 547, 811, 1769, 8757, 519, 22100, 982, 4079, 563, 3674, 1178, 7315, 7298, 538, 3127, 888, 763, 4050, 3518, 1537, 16264, 24256, 610, 932, 18588, 3400, 7315, 786, 1491, 1747, 593, 476, 1789, 628, 5437, 476, 1708, 271, 269, 769, 3127, 630, 300, 26842, 1070, 519, 24256, 1131, 2253, 689, 272, 281, 6349, 281, 2420, 6751, 543, 1131, 979, 593, 11489, 476, 276, 281, 2537, 281, 2420, 6751, 269, 634, 5021, 24256, 1131, 581, 1472, 476, 274, 281, 1321, 281, 7871, 6751, 269, 634, 24256, 1131, 711, 581, 7298, 538, 3127, 563, 1432, 590, 1722, 320, 3400, 7315, 1058, 2057, 888, 8253, 4189, 1282, 519, 590, 1722, 320, 3400, 7315, 568, 606, 2085, 6040, 3661, 269, 898, 568, 849, 5018, 538, 519, 30920, 602, 519, 3400, 7315, 1974, 568, 796, 331, 13806, 543, 3976, 835, 1058, 2057, 4189, 1426, 693, 713, 942, 269, 14856, 1426, 693, 713, 942, 666, 1256, 1291, 547, 3676, 563, 12663, 513, 3859, 24256, 4755, 538, 476, 1708, 271, 888, 275, 267, 476, 1708, 272, 267, 602, 649, 1205, 1776, 2698, 3859, 24256, 269, 901, 1985, 2698, 3859, 24256, 786, 581, 936, 19778, 269, 13565, 281, 634, 6855, 786, 4734, 24256, 669, 553, 619, 538, 519, 4158, 585, 476, 1708, 271, 2698, 3859, 24256, 563, 347, 8512, 658, 5956, 1475, 1556, 281, 3607, 513, 6230, 8198, 347, 8512, 658, 7475, 1475, 273, 281, 4029, 533, 6230, 8198, 396, 499, 27569, 397, 495, 476, 276, 11012, 4344, 17201, 16648, 20500, 13833, 454, 1692, 666, 594, 9108, 2070, 513, 3859, 24256, 888, 13729, 16390, 585, 2659, 7348, 532, 9549, 1684, 711, 1413, 2047, 693, 519, 3141, 269, 1684, 711, 946, 19471, 12086, 610, 8723, 23475, 28904, 267, 1256, 1360, 4158, 23475, 28904, 269, 2422, 2027, 26928, 3859, 12086, 267, 971, 607, 24256, 14296, 610, 1688, 18988, 3859, 13588, 267, 547, 2070, 519, 24256, 269, 3367, 543, 1246, 6882, 5528, 543, 27459, 1047, 1453, 563, 19675, 3859, 17772, 2354, 525, 1294, 888, 288, 3859, 24256, 666, 581, 9763, 9108, 609, 519, 21736, 3750, 1152, 1282, 519, 1906, 5618, 7643, 610, 3764, 540, 513, 2698, 3859, 24256, 267, 950, 519, 6129, 3294, 568, 4625, 25848, 3293, 676, 519, 9855, 269, 23299, 547, 946, 3617, 19288, 949, 1267, 538, 8628, 3750, 3441, 610, 21901, 563, 3674, 3859, 24256, 7298, 538, 3127, 2221, 888, 763, 3859, 24256, 786, 2253, 2022, 1606, 684, 3553, 538, 3127, 267, 1775, 4318, 269, 693, 476, 278, 281, 6734, 10681, 630, 8780, 264, 543, 1439, 693, 476, 1321, 281, 2537, 993, 593, 5412, 476, 1428, 269, 634, 24256, 786, 8445, 693, 476, 280, 281, 6246, 10681, 269, 898, 786, 581, 513, 2698, 3859, 24256, 607, 519, 7599, 786, 4625, 3382, 519, 3141, 267, 17527, 519, 1769, 4947, 689, 519, 3141, 7551, 16213, 513, 4158, 14692, 610, 968, 3518, 571, 892, 593, 519, 4541, 563, 3674, 972, 606, 14232, 24256, 888, 292, 743, 15199, 667, 919, 585, 476, 1708, 272, 2904, 476, 2918, 267, 476, 1708, 272, 281, 11192, 661, 743, 15199, 540, 519, 9855, 269, 901, 24256, 568, 1152, 13148, 7298, 689, 3345, 3013, 269, 634, 1655, 5784, 786, 581, 689, 7262, 3345, 3013, 282, 543, 519, 24256, 786, 849, 581, 7298, 689, 16127, 269, 4873, 476, 1015, 267, 476, 1708, 272, 281, 7788, 983, 661, 743, 15199, 540, 519, 6129, 563, 3674, 3859, 24256, 7298, 538, 3127, 888, 23530, 543, 30803, 661, 743, 2354, 525, 616, 2067, 9259, 602, 2049, 693, 2547, 7466, 513, 1032, 269, 10251, 267, 713, 24256, 4465, 1406, 581, 7298, 538, 3127, 267, 855, 972, 616, 2185, 811, 17772, 2354, 525, 7996, 547, 4755, 538, 476, 1708, 272, 1107, 1034, 540, 873, 786, 581, 14754, 538, 1114, 2694, 540, 519, 2197, 269, 3371, 2638, 519, 4266, 267, 942, 543, 15287, 3877, 269, 0, 14503, 820, 8641, 924, 568, 7768, 540, 1082, 6676, 11057, 630, 326, 1905, 515, 928, 264, 10518, 532, 3889, 609, 15279, 21192, 14848, 269, 5381, 547, 519, 4162, 540, 27948, 267, 621, 814, 5140, 26365, 4187, 267, 19149, 640, 267, 19428, 267, 8143, 19428, 267, 543, 3114, 4187, 269, 13575, 267, 621, 568, 1031, 538, 1585, 4610, 585, 4853, 3156, 971, 607, 22796, 543, 7344, 22796, 563, 14503, 820, 8641, 924, 568, 24776, 676, 513, 1505, 1572, 607, 1930, 1790, 527, 5599, 267, 799, 568, 1459, 538, 7725, 543, 10007, 693, 513, 2557, 540, 1896, 2600, 547, 1896, 9937, 540, 2600, 563, 5475, 5599, 519, 7626, 267, 621, 568, 21432, 569, 16760, 267, 18689, 7007, 267, 15568, 267, 12683, 1242, 267, 543, 9286, 1354, 1373, 9447, 547, 519, 6075, 269, 6168, 476, 3445, 260, 540, 519, 4469, 820, 8641, 924, 1031, 538, 3567, 2501, 689, 3624, 267, 855, 649, 666, 3132, 543, 4383, 519, 4469, 820, 8641, 924, 799, 2501, 689, 1585, 2477, 2687, 547, 938, 5561, 685, 4170, 689, 519, 21169, 540, 7460, 303, 543, 3624, 1981, 21084, 563, 272, 269, 769, 2487, 1296, 267, 4469, 820, 8641, 924, 814, 13631, 5001, 3007, 607, 513, 2942, 19650, 1570, 585, 6281, 9075, 609, 519, 1646, 540, 3167, 6472, 269, 4033, 1804, 1166, 1389, 616, 1031, 607, 18195, 800, 2326, 585, 16961, 17156, 267, 24386, 267, 30979, 3247, 11825, 267, 3172, 525, 807, 3327, 20398, 267, 3092, 563, 273, 269, 4400, 569, 29881, 543, 16760, 2472, 616, 1031, 538, 513, 2647, 2039, 540, 4610, 1519, 4396, 19149, 656, 3156, 267, 3002, 11259, 267, 3002, 11259, 2472, 267, 25801, 19267, 267, 22796, 267, 3167, 26814, 267, 6067, 1162, 267, 8869, 12669, 21395, 267, 20347, 21181, 267, 13274, 902, 267, 804, 583, 2583, 267, 7344, 338, 267, 20910, 267, 12285, 18300, 21187, 267, 3092, 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 ]
[ 0, 289, 1143, 8759, 1695, 597, 31670, 2006, 597, 14780, 515, 655, 454, 2704, 5069, 323, 592, 8759, 1695, 597, 14558, 620, 2048, 2704, 877, 523, 269, 12984, 6428, 320, 520, 340, 729, 6428, 320, 600, 2048, 8403, 320, 678, 553, 944, 8759, 1695, 3649, 2048, 8403, 320, 620, 328, 31649, 3649, 19300, 6798, 31649, 3649, 812, 342, 8403, 267, 3649, 22678, 8910, 563, 19350, 616, 930, 2798, 24152, 519, 4214, 540, 21741, 541, 745, 329, 630, 763, 18071, 540, 25925, 1040, 2904, 713, 581, 540, 4324, 267, 2523, 547, 519, 2021, 540, 713, 772, 7825, 1695, 267, 589, 877, 523, 454, 272, 269, 21741, 541, 745, 329, 568, 27136, 17171, 547, 2353, 320, 1695, 543, 3571, 11619, 10152, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 994, 763, 835, 945, 771, 12786, 903, 2353, 320, 1695, 543, 3571, 11619, 10152, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 666, 1152, 2800, 5128, 543, 666, 711, 538, 1022, 1259, 2800, 2353, 320, 1695, 281, 634, 11619, 10152, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 912, 2108, 5472, 540, 1250, 13794, 786, 4283, 21537, 1047, 4849, 1346, 945, 20549, 1848, 898, 729, 4280, 281, 968, 302, 11619, 10152, 540, 2353, 320, 1695, 267, 945, 1131, 20549, 9495, 1261, 630, 14588, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 281, 968, 3891, 945, 1073, 324, 903, 803, 13788, 21537, 1047, 543, 646, 945, 771, 12786, 903, 803, 814, 15189, 1848, 476, 272, 454, 2005, 568, 4080, 602, 16334, 685, 1177, 12011, 344, 1695, 630, 2784, 12011, 5472, 320, 24660, 2048, 534, 16852, 264, 5795, 513, 28005, 517, 538, 20523, 16850, 543, 538, 621, 646, 5018, 602, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 19275, 5722, 1919, 543, 646, 3957, 21741, 541, 745, 329, 607, 835, 540, 873, 563, 8072, 6781, 323, 1638, 320, 1695, 16481, 333, 16549, 685, 797, 630, 305, 264, 4080, 602, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1031, 547, 771, 3697, 4557, 5686, 540, 2623, 543, 646, 630, 8072, 6781, 323, 1638, 320, 1695, 16481, 333, 16549, 685, 797, 264, 5018, 602, 689, 10838, 873, 568, 18071, 543, 3083, 2305, 799, 568, 2944, 538, 606, 16789, 1747, 563, 297, 8403, 531, 268, 644, 268, 5719, 523, 607, 4149, 8500, 583, 328, 630, 323, 269, 26605, 295, 264, 630, 19207, 574, 1695, 1638, 320, 1695, 264, 1767, 602, 281, 968, 307, 629, 541, 745, 329, 676, 18071, 3083, 2305, 568, 6029, 1055, 547, 21046, 543, 713, 568, 20247, 27419, 1848, 901, 568, 519, 7778, 540, 519, 2495, 540, 2048, 6781, 323, 1638, 320, 1695, 16481, 333, 16549, 685, 797, 779, 3948, 968, 574, 27393, 1747, 5608, 621, 568, 711, 519, 2013, 952, 519, 3083, 2305, 568, 2944, 585, 519, 9393, 563, 273, 269, 21741, 541, 745, 329, 568, 513, 18205, 16160, 5609, 454, 308, 16673, 2096, 1695, 267, 519, 8250, 540, 22859, 336, 599, 344, 1695, 10272, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 547, 11760, 519, 5048, 540, 1772, 5055, 600, 543, 547, 11760, 602, 1261, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 729, 543, 568, 519, 11619, 10152, 540, 2353, 320, 1695, 269, 634, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 547, 1200, 912, 14881, 2285, 1250, 8622, 8540, 602, 596, 1590, 711, 1305, 4891, 547, 10847, 16310, 2353, 320, 1695, 267, 602, 596, 798, 711, 21102, 267, 3479, 585, 333, 1709, 610, 13277, 6670, 267, 602, 596, 798, 711, 6146, 707, 1126, 267, 602, 596, 798, 711, 3479, 1022, 7301, 3125, 1354, 707, 3946, 543, 1063, 707, 7953, 267, 602, 596, 798, 711, 530, 841, 543, 602, 596, 798, 711, 1118, 9184, 541, 745, 329, 899, 602, 540, 795, 1695, 8270, 344, 344, 1695, 630, 2181, 268, 26576, 545, 5736, 1040, 892, 476, 273, 563, 2005, 779, 2312, 602, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 2404, 21741, 541, 745, 329, 630, 5891, 540, 5898, 264, 609, 18205, 16160, 21359, 563, 274, 269, 21741, 541, 745, 329, 6770, 519, 31169, 543, 1163, 13955, 689, 519, 8585, 1097, 540, 2353, 320, 1695, 454, 763, 11619, 10152, 630, 338, 718, 5025, 12848, 24660, 2048, 531, 599, 6062, 3649, 521, 718, 600, 264, 1767, 281, 2108, 2467, 4927, 581, 630, 514, 519, 2663, 264, 851, 540, 1250, 4182, 2021, 945, 616, 21039, 855, 616, 538, 1249, 21736, 269, 2201, 741, 9843, 616, 1208, 1186, 899, 1346, 540, 4342, 1564, 269, 4354, 572, 873, 585, 789, 616, 15983, 17400, 539, 1848, 476, 274, 454, 275, 269, 21741, 541, 745, 329, 568, 606, 14487, 540, 519, 1004, 540, 22946, 454, 763, 11619, 10152, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 281, 968, 8170, 519, 1004, 540, 18774, 972, 616, 1079, 2010, 7247, 594, 723, 2760, 2938, 281, 634, 835, 28429, 627, 2354, 899, 519, 2766, 540, 606, 3404, 543, 789, 1166, 690, 1004, 609, 873, 269, 634, 2034, 835, 519, 2021, 945, 1131, 581, 21736, 538, 19220, 540, 741, 1373, 21039, 267, 945, 616, 6822, 340, 1027, 547, 4636, 10092, 543, 6822, 340, 576, 1866, 609, 741, 4552, 1164, 899, 1208, 1186, 269, 1452, 2021, 1131, 711, 1205, 883, 21537, 1047, 543, 789, 1131, 711, 13498, 922, 5212, 712, 267, 4352, 922, 32709, 666, 581, 9228, 689, 971, 543, 971, 3845, 1848, 476, 275, 454, 276, 269, 21741, 541, 745, 329, 568, 14334, 593, 519, 4303, 540, 1763, 18675, 454, 2005, 568, 1936, 730, 602, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 281, 968, 763, 1612, 762, 540, 513, 4807, 945, 7575, 609, 513, 3500, 27789, 5163, 911, 4979, 1200, 3083, 1881, 9660, 7900, 711, 585, 1200, 9393, 568, 899, 14334, 540, 519, 4303, 540, 25960, 618, 267, 1352, 814, 610, 2501, 609, 1100, 1769, 1848, 476, 276, 1744, 599, 16223, 620, 25575, 9346, 2033, 324, 28439, 519, 1185, 324, 996, 968, 933, 752, 5608, 26512, 25234, 337, 16481, 333, 620, 5025, 4599, 328, 630, 323, 269, 276, 6246, 295, 264, 630, 19207, 574, 1695, 1638, 320, 1695, 264, 1767, 602, 4352, 713, 1185, 324, 996, 568, 4617, 281, 968, 2507, 1080, 2495, 568, 2953, 1317, 519, 18399, 538, 27136, 17171, 568, 538, 1249, 25711, 543, 7092, 269, 634, 2495, 568, 602, 713, 1826, 540, 4807, 786, 2097, 593, 519, 4303, 540, 1763, 18675, 3109, 538, 14334, 607, 952, 1352, 9308, 12090, 689, 14334, 269, 769, 4334, 267, 1018, 4523, 547, 581, 2352, 543, 11213, 538, 2773, 540, 1073, 539, 1304, 6411, 568, 513, 3020, 18399, 1317, 540, 519, 8007, 32261, 1346, 945, 616, 1073, 539, 1304, 547, 2353, 320, 1695, 543, 3571, 11619, 10152, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 1040, 892, 634, 5212, 712, 540, 519, 5023, 540, 513, 17509, 1268, 949, 711, 581, 513, 16990, 538, 713, 1158, 267, 547, 2353, 320, 1695, 2705, 621, 568, 1732, 982, 519, 5212, 712, 540, 1660, 330, 1317, 519, 7332, 814, 23491, 539, 2353, 320, 1695, 543, 5340, 1018, 568, 1813, 2390, 1864, 689, 17509, 269, 6684, 267, 519, 4807, 9849, 1200, 670, 6359, 320, 629, 949, 581, 6743, 2390, 607, 968, 516, 9146, 626, 5608, 968, 1245, 6752, 539, 892, 610, 968, 320, 6972, 17895, 5608, 1352, 2705, 568, 519, 16771, 593, 519, 4303, 540, 1763, 18675, 543, 1346, 945, 23769, 1200, 2322, 2933, 593, 513, 5906, 4155, 543, 949, 581, 16271, 547, 519, 32716, 540, 2353, 320, 1695, 630, 11357, 3873, 534, 24660, 3649, 28580, 685, 320, 8403, 1916, 277, 269, 21741, 541, 745, 329, 568, 3834, 4531, 19192, 454, 763, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 281, 968, 763, 1655, 540, 707, 2021, 568, 519, 15754, 622, 267, 519, 15417, 630, 514, 7607, 1070, 519, 4412, 25875, 630, 325, 822, 24461, 1070, 519, 5077, 894, 952, 789, 4250, 2353, 320, 1695, 269, 634, 1034, 9409, 540, 707, 2021, 616, 519, 23688, 629, 541, 685, 686, 329, 520, 630, 29006, 945, 798, 693, 6874, 629, 541, 745, 329, 1496, 5891, 741, 5898, 25818, 519, 23688, 12112, 599, 601, 520, 630, 15367, 1193, 583, 270, 1873, 16925, 1070, 543, 789, 616, 519, 3834, 665, 27866, 269, 8409, 945, 4283, 1325, 11219, 20087, 630, 1492, 21537, 1047, 264, 616, 899, 519, 595, 965, 18844, 1848, 476, 277, 634, 11522, 7715, 814, 513, 2699, 581, 752, 543, 2699, 7953, 543, 568, 4686, 267, 865, 519, 4082, 538, 519, 1185, 324, 996, 968, 322, 965, 7715, 892, 6920, 602, 519, 2021, 945, 786, 4283, 21537, 1047, 786, 581, 1906, 563, 278, 269, 21741, 541, 745, 329, 568, 771, 6588, 576, 995, 454, 763, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 264, 1767, 281, 968, 12179, 4807, 945, 3217, 540, 1200, 9660, 538, 824, 982, 1200, 9393, 779, 1753, 814, 7745, 519, 13104, 1063, 1200, 543, 2353, 320, 1695, 1848, 476, 278, 1955, 320, 600, 26512, 2098, 752, 926, 5984, 606, 9539, 11867, 933, 324, 630, 323, 269, 6858, 277, 295, 264, 630, 19207, 574, 1695, 1638, 320, 1695, 264, 6085, 532, 593, 713, 1185, 324, 996, 1767, 281, 2108, 763, 6031, 540, 519, 21024, 630, 701, 864, 543, 26460, 540, 2353, 320, 1695, 581, 2390, 1864, 2567, 2048, 12179, 4807, 945, 3217, 540, 1200, 9660, 538, 824, 982, 1200, 9393, 779, 1753, 8730, 1797, 6029, 1055, 1200, 5898, 547, 21046, 676, 2921, 1055, 1200, 13104, 540, 9660, 267, 1352, 814, 7745, 519, 13104, 1063, 1200, 543, 2353, 320, 1695, 630, 11357, 3873, 534, 24660, 3649, 28580, 685, 320, 8403, 1040, 892, 2353, 320, 1695, 630, 11357, 3873, 534, 24660, 3649, 28580, 685, 320, 8403, 264, 7150, 912, 2108, 302, 5753, 540, 14088, 256, 1284, 723, 1655, 15735, 986, 2939, 2390, 596, 547, 3382, 707, 2383, 630, 31653, 707, 4357, 2694, 267, 3092, 4700, 543, 607, 606, 19799, 618, 543, 519, 986, 2939, 540, 32660, 267, 602, 568, 1732, 2507, 892, 476, 279, 454, 3383, 952, 513, 4807, 1281, 711, 4250, 2353, 320, 1695, 543, 796, 1723, 951, 1200, 4357, 2694, 1287, 1352, 568, 8840, 519, 13104, 1063, 1200, 543, 2353, 320, 1695, 267, 4107, 4400, 267, 543, 1317, 1352, 20114, 543, 31081, 10696, 9887, 543, 8149, 513, 20494, 9330, 1996, 1200, 9393, 1287, 2353, 320, 1695, 786, 10625, 1200, 13104, 267, 1352, 786, 581, 538, 513, 29317, 563, 279, 269, 21741, 541, 745, 329, 568, 606, 17946, 4292, 543, 771, 6588, 576, 995, 5609, 454, 763, 4807, 568, 2048, 1177, 19207, 267, 513, 2707, 540, 16007, 267, 1200, 1560, 568, 711, 547, 581, 3254, 267, 547, 5957, 9660, 602, 1397, 1055, 1200, 1560, 543, 922, 3337, 543, 2934, 568, 771, 6588, 576, 995, 269, 2353, 320, 1695, 630, 11357, 3873, 534, 24660, 3649, 28580, 685, 320, 8403, 264, 9753, 721, 547, 3251, 2476, 689, 771, 6588, 576, 995, 21359, 912, 2108, 4517, 950, 789, 3479, 513, 13056, 1695, 22781, 630, 5271, 559, 632, 539, 267, 2469, 5180, 519, 18087, 685, 321, 1695, 538, 21736, 1533, 267, 1169, 2186, 540, 796, 32016, 4638, 26697, 267, 3092, 13776, 789, 2161, 281, 2048, 2171, 1336, 938, 18971, 3257, 621, 267, 543, 2353, 320, 1695, 814, 26017, 721, 540, 621, 10200, 17166, 281, 2048, 301, 599, 267, 2353, 320, 1695, 2760, 12981, 540, 13056, 1695, 22781, 269, 1684, 596, 2161, 540, 2353, 320, 1695, 1018, 596, 917, 711, 9495, 476, 280, 454, 305, 1430, 267, 621, 568, 1744, 599, 3279, 534, 945, 9753, 971, 13056, 1695, 22781, 267, 971, 771, 6588, 576, 995, 21359, 269, 2353, 320, 1695, 630, 11357, 3873, 534, 24660, 3649, 28580, 685, 320, 8403, 264, 3081, 912, 2108, 4537, 599, 3279, 534, 630, 25823, 534, 264, 27938, 596, 609, 6710, 543, 9753, 596, 547, 3479, 674, 1695, 3333, 12711, 630, 5271, 559, 23339, 267, 10363, 4638, 26697, 267, 21359, 3092, 4700, 282, 6466, 2353, 320, 1695, 14767, 596, 1280, 326, 4369, 689, 13924, 1345, 543, 645, 870, 344, 267, 543, 2353, 320, 1695, 568, 2353, 4149, 11211, 585, 3571, 7068, 685, 2115, 267, 2353, 11860, 852, 518, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 14323, 267, 789, 1058, 581, 6569, 689, 519, 21224, 4216, 547, 2061, 2068, 543, 3968, 563, 4407, 15483, 520, 1408, 338, 666, 9742, 610, 19898, 1510, 513, 21224, 4216, 267, 621, 779, 711, 5227, 269, 715, 20535, 10833, 1404, 513, 2629, 1909, 538, 519, 9960, 1184, 267, 3246, 513, 2922, 543, 5150, 1604, 585, 519, 4775, 15483, 520, 1408, 547, 2482, 1200, 5798, 543, 585, 519, 32138, 547, 24011, 543, 1332, 269, 1635, 1620, 519, 1909, 540, 21224, 10833, 267, 9301, 519, 4191, 602, 5815, 707, 5017, 616, 4712, 547, 19898, 267, 543, 4259, 909, 513, 21224, 4216, 5265, 267, 596, 666, 2327, 519, 1072, 543, 1134, 5630, 540, 707, 15483, 520, 1408, 1920, 269, 0, 13640, 820, 1115, 267, 849, 1634, 607, 5229, 3455, 580, 1513, 610, 5229, 326, 625, 267, 616, 1507, 267, 1279, 26904, 5017, 602, 616, 5065, 547, 5245, 269, 1358, 616, 1851, 519, 1034, 2442, 4620, 5017, 538, 519, 1158, 269, 3474, 820, 1115, 616, 1514, 2831, 543, 2972, 519, 2754, 540, 741, 1378, 2249, 543, 1480, 5872, 269, 1358, 616, 10995, 543, 666, 581, 8036, 547, 1685, 15361, 543, 17932, 4992, 267, 1519, 1480, 4633, 563, 8722, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 1432, 568, 3171, 1430, 1773, 31902, 888, 8722, 1430, 726, 31902, 267, 849, 1634, 607, 13692, 16116, 267, 568, 513, 2623, 538, 799, 5017, 7485, 856, 741, 17207, 609, 741, 581, 6545, 269, 3171, 1430, 726, 31902, 666, 1860, 1022, 6177, 2249, 267, 1519, 1612, 820, 1115, 269, 3171, 1430, 726, 31902, 666, 2039, 689, 7646, 547, 4049, 267, 543, 621, 666, 2014, 13692, 2530, 267, 2960, 16698, 267, 543, 1256, 5563, 563, 27246, 540, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 8722, 1430, 726, 31902, 538, 1612, 820, 1115, 666, 581, 3361, 676, 1585, 2188, 267, 1519, 2564, 543, 2825, 2188, 269, 2368, 540, 519, 1455, 3123, 540, 13692, 726, 31902, 538, 1612, 820, 1115, 616, 912, 272, 269, 6481, 2175, 281, 3474, 820, 1115, 949, 726, 3089, 741, 17207, 1813, 547, 5817, 2564, 2175, 267, 1519, 5563, 267, 11959, 267, 543, 15495, 269, 3474, 820, 1115, 949, 849, 726, 3089, 741, 17207, 1813, 547, 17441, 20817, 267, 6797, 2068, 267, 610, 8459, 2068, 563, 273, 269, 13262, 281, 3474, 820, 1115, 616, 1514, 2831, 267, 543, 789, 991, 1514, 5872, 543, 2790, 14242, 547, 3251, 2635, 269, 589, 3668, 540, 1514, 5872, 267, 30627, 267, 543, 2566, 666, 1291, 547, 13692, 726, 31902, 563, 274, 269, 715, 26798, 19518, 281, 589, 4057, 2732, 15877, 538, 1898, 5567, 267, 1519, 8324, 267, 6886, 267, 543, 5946, 267, 666, 2014, 13692, 726, 31902, 538, 1612, 820, 1115, 563, 275, 269, 7025, 2188, 281, 15742, 2825, 2188, 267, 971, 607, 4598, 547, 13802, 267, 3665, 5210, 267, 543, 16283, 8654, 267, 666, 2014, 13692, 726, 31902, 538, 1612, 820, 1115, 563, 21618, 540, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 763, 2589, 540, 13692, 726, 31902, 538, 1612, 820, 1115, 1331, 912, 272, 269, 3171, 1430, 2530, 281, 3474, 820, 1115, 949, 7485, 856, 741, 17207, 267, 3056, 547, 24052, 15649, 593, 741, 4703, 563, 273, 269, 16164, 16698, 281, 3171, 1430, 726, 31902, 666, 2014, 2960, 16698, 543, 6553, 267, 799, 666, 1291, 547, 5563, 563, 274, 269, 15448, 538, 2623, 281, 3171, 1430, 726, 31902, 666, 2014, 2242, 538, 2623, 267, 1519, 14699, 267, 4965, 267, 543, 4160, 563, 307, 11661, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 307, 11661, 13692, 726, 31902, 538, 1612, 820, 1115, 5673, 593, 519, 5817, 2014, 269, 3371, 616, 930, 1455, 2126, 3681, 912, 21357, 9615, 585, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 2252, 519, 13692, 726, 31902, 568, 3361, 676, 513, 2564, 2783, 267, 707, 16943, 949, 21559, 6646, 610, 4363, 8192, 2242, 269, 769, 930, 2665, 267, 17441, 3797, 949, 581, 2556, 563, 20245, 15448, 585, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 2252, 519, 13692, 726, 31902, 568, 3361, 676, 2825, 2188, 267, 596, 949, 991, 547, 1118, 930, 2242, 547, 707, 1612, 820, 564, 779, 1604, 269, 901, 949, 1331, 3246, 7850, 8654, 267, 4509, 513, 2973, 543, 31978, 545, 2713, 2230, 267, 543, 9319, 4598, 547, 13802, 563, 6826, 24173, 3525, 2305, 585, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 2252, 519, 13692, 726, 31902, 568, 3361, 676, 2566, 610, 30627, 267, 596, 949, 991, 547, 12189, 707, 1612, 820, 564, 779, 2623, 269, 901, 949, 1331, 3246, 2790, 14242, 267, 1514, 5872, 267, 543, 9162, 269, 1411, 949, 849, 991, 547, 3715, 513, 6296, 585, 707, 1612, 820, 564, 547, 948, 2569, 2566, 563, 7093, 28124, 3171, 1430, 1773, 31902, 538, 3474, 820, 1115, 454, 7093, 28124, 13692, 726, 31902, 538, 1612, 820, 1115, 568, 2009, 609, 1697, 1416, 543, 3007, 269, 3371, 616, 930, 4388, 547, 2061, 13692, 726, 31902, 538, 1612, 820, 1115, 912, 17809, 4575, 513, 13245, 5113, 454, 17809, 728, 707, 1612, 820, 564, 609, 513, 2973, 543, 31978, 545, 2713, 2230, 269, 5269, 2386, 519, 21799, 568, 1804, 2614, 585, 707, 1612, 820, 564, 547, 1847, 1472, 543, 1683, 829, 2583, 693, 1114, 15627, 269, 3680, 20392, 707, 1612, 820, 564, 547, 13802, 267, 1519, 16906, 8673, 543, 7622, 2973, 619, 563, 11328, 716, 532, 609, 2659, 3474, 820, 564, 454, 13640, 820, 1115, 991, 1514, 5872, 543, 2790, 14242, 547, 3251, 2635, 269, 1975, 754, 942, 609, 707, 1612, 820, 564, 267, 2911, 547, 873, 267, 543, 1683, 9162, 547, 1832, 873, 7038, 539, 563, 293, 29623, 2659, 3474, 820, 564, 513, 7195, 2331, 10791, 454, 293, 29623, 707, 1612, 820, 564, 513, 7059, 2732, 568, 1898, 547, 2061, 9422, 19518, 269, 3629, 513, 3099, 540, 5613, 267, 5388, 267, 543, 5452, 547, 2327, 707, 1612, 820, 564, 4991, 782, 519, 2556, 5567, 563, 8722, 1430, 726, 31902, 538, 1612, 820, 1115, 568, 513, 1455, 1966, 602, 666, 581, 3361, 676, 2564, 543, 2825, 2188, 269, 1403, 596, 5469, 1022, 4191, 540, 13692, 726, 31902, 538, 707, 1612, 820, 564, 267, 621, 568, 1898, 547, 2697, 519, 5817, 2014, 543, 3343, 3617, 2126, 269, 1635, 1739, 519, 4388, 538, 713, 5816, 2022, 267, 596, 666, 2061, 13692, 726, 31902, 543, 1683, 707, 1612, 820, 564, 609, 513, 2635, 543, 6126, 1272, 269, 0, 12892, 5121, 8452, 538, 8050, 693, 513, 942, 540, 3318, 15657, 585, 1082, 3610, 693, 519, 4098, 540, 519, 476, 1001, 271, 338, 281, 6015, 538, 519, 13710, 4390, 540, 2029, 607, 1134, 607, 513, 1713, 2208, 5123, 538, 3872, 5092, 8604, 547, 2303, 513, 9621, 2104, 585, 1514, 5121, 269, 1344, 543, 2792, 4066, 693, 1153, 563, 1103, 713, 2631, 267, 621, 568, 4277, 547, 1294, 519, 1476, 26475, 538, 8050, 540, 1614, 2188, 1472, 519, 1032, 476, 1220, 280, 281, 519, 5920, 540, 519, 3427, 476, 273, 269, 271, 5358, 2073, 519, 12625, 540, 12108, 538, 5053, 543, 519, 4473, 540, 1382, 593, 1514, 5121, 543, 3610, 2073, 607, 4767, 538, 519, 1739, 3113, 912, 5804, 21075, 547, 16060, 454, 13295, 267, 689, 476, 1220, 280, 27477, 267, 606, 1271, 851, 540, 519, 3872, 11407, 6383, 676, 3610, 568, 11843, 547, 1514, 5121, 547, 519, 1033, 337, 2939, 540, 3872, 610, 3621, 23793, 17476, 267, 799, 2394, 1287, 941, 519, 1292, 10529, 585, 7521, 543, 5499, 3872, 18747, 563, 11101, 267, 4352, 693, 519, 4098, 540, 519, 476, 1001, 271, 338, 519, 3872, 11407, 1185, 519, 1489, 540, 7270, 543, 21075, 267, 7930, 519, 11407, 3459, 547, 581, 2813, 543, 22412, 730, 2047, 593, 1514, 5121, 267, 2901, 998, 12108, 968, 628, 1348, 338, 5608, 6835, 593, 519, 6821, 540, 9365, 267, 1509, 525, 543, 2592, 593, 17749, 543, 1256, 28607, 27717, 7044, 538, 2487, 1296, 563, 1607, 1184, 540, 7857, 1436, 540, 3872, 11407, 568, 6252, 547, 519, 1651, 2720, 542, 540, 1514, 5121, 883, 519, 1272, 540, 519, 2551, 538, 8050, 281, 476, 11152, 260, 540, 519, 2551, 15109, 2933, 606, 5769, 3593, 543, 476, 5952, 260, 540, 891, 5769, 3755, 616, 3755, 540, 1514, 5121, 267, 609, 513, 1713, 4527, 540, 29243, 7343, 267, 9365, 267, 543, 2382, 4048, 1090, 267, 4553, 676, 13334, 267, 12108, 543, 267, 609, 2178, 2208, 267, 28607, 27717, 269, 11334, 267, 4061, 267, 616, 711, 21933, 643, 1190, 547, 891, 1007, 2792, 2853, 563, 308, 4513, 540, 5121, 538, 2069, 454, 2171, 666, 3713, 1114, 3096, 540, 1514, 5121, 676, 3610, 538, 6935, 547, 519, 3872, 7521, 269, 13018, 267, 649, 666, 10646, 2185, 12632, 540, 3610, 685, 32705, 2853, 538, 1514, 5121, 281, 2542, 267, 32538, 267, 4661, 566, 543, 968, 8455, 3101, 9731, 268, 634, 2542, 9043, 30417, 13629, 543, 27422, 547, 7119, 538, 519, 5121, 1152, 607, 513, 5467, 267, 3006, 6029, 6161, 827, 519, 2009, 3239, 602, 646, 1223, 2709, 540, 5128, 593, 519, 5121, 610, 1256, 7947, 532, 513, 1978, 8226, 540, 8082, 593, 891, 5867, 563, 268, 634, 4116, 15669, 540, 2833, 3096, 519, 5121, 547, 1397, 1018, 3871, 646, 12958, 538, 1010, 4928, 267, 1018, 2326, 646, 3096, 543, 1018, 24299, 1010, 1053, 1118, 269, 901, 9043, 30417, 30925, 543, 2982, 606, 17543, 9243, 20748, 9043, 267, 5059, 593, 3872, 2259, 855, 1510, 8209, 10024, 883, 9840, 593, 3872, 4507, 610, 519, 3919, 540, 519, 3872, 1062, 563, 268, 634, 17082, 540, 6644, 593, 3872, 2152, 5751, 1010, 12819, 4390, 543, 13290, 547, 22321, 610, 18609, 824, 3610, 610, 1004, 5461, 538, 2069, 827, 519, 14496, 540, 1010, 7158, 269, 1677, 798, 713, 267, 621, 5631, 859, 10280, 1010, 3450, 1995, 607, 606, 4661, 540, 6392, 1107, 1510, 713, 2495, 2348, 547, 18992, 267, 607, 519, 15669, 9043, 1281, 267, 547, 6029, 2963, 540, 1010, 1378, 3450, 2259, 610, 2079, 540, 1010, 4641, 547, 1489, 1010, 7440, 269, 769, 1082, 2665, 267, 32047, 267, 713, 9043, 540, 6644, 17082, 814, 29860, 547, 519, 2489, 2923, 267, 799, 946, 621, 547, 2569, 519, 3638, 3872, 7521, 547, 513, 30925, 1063, 3665, 7158, 563, 268, 634, 4483, 8665, 568, 6353, 607, 606, 4810, 3318, 267, 606, 8665, 540, 3872, 5647, 543, 27696, 17634, 267, 543, 513, 3260, 518, 540, 519, 946, 540, 3872, 2029, 538, 741, 5054, 269, 2201, 1514, 5121, 267, 891, 968, 8822, 3610, 892, 1413, 585, 824, 9164, 8348, 547, 3356, 267, 21464, 267, 2318, 543, 23904, 609, 7247, 789, 616, 8348, 547, 1451, 267, 5352, 1007, 2093, 543, 2671, 3785, 563, 763, 2185, 10319, 10569, 454, 1607, 8772, 9043, 849, 10742, 2185, 1883, 2934, 865, 602, 4116, 5698, 998, 1514, 5121, 12958, 9283, 538, 519, 3872, 9872, 912, 268, 21664, 1058, 581, 5059, 593, 519, 1646, 540, 3872, 2035, 602, 1291, 547, 2417, 2242, 538, 3450, 563, 268, 7324, 519, 5171, 972, 1590, 581, 513, 8226, 540, 6791, 2073, 602, 568, 267, 540, 3318, 16169, 563, 268, 1703, 1590, 581, 25505, 1063, 519, 5171, 267, 1419, 15469, 676, 513, 1978, 4630, 2684, 1176, 630, 13678, 1791, 885, 538, 2085, 267, 1296, 540, 1995, 267, 1377, 1141, 5049, 616, 6026, 610, 2127, 540, 1702, 267, 1851, 824, 2188, 1916, 268, 898, 568, 2556, 547, 12927, 519, 1614, 3105, 10569, 609, 519, 2168, 16133, 1063, 519, 5171, 267, 1310, 519, 2228, 3346, 602, 3217, 1747, 998, 1514, 5121, 563, 1103, 713, 2631, 267, 891, 2185, 10319, 10569, 540, 519, 968, 8822, 3610, 892, 941, 18674, 267, 2429, 519, 476, 1220, 280, 268, 1001, 280, 8717, 543, 2394, 519, 5920, 540, 5046, 268, 866, 267, 609, 519, 8066, 540, 11401, 602, 16798, 519, 6240, 540, 16133, 563, 4322, 11401, 941, 6896, 23276, 676, 3889, 971, 607, 589, 592, 629, 8421, 2073, 8734, 611, 832, 610, 661, 5723, 292, 543, 4847, 891, 3610, 547, 4163, 856, 538, 1268, 519, 7391, 789, 6383, 998, 1514, 5121, 563, 1103, 824, 1913, 267, 538, 513, 1978, 2631, 267, 891, 2516, 543, 11401, 1599, 539, 607, 18228, 630, 25791, 264, 5121, 547, 1489, 968, 8822, 3610, 892, 945, 3357, 1927, 547, 3343, 5796, 267, 8207, 4145, 543, 1374, 1455, 3785, 563, 1103, 519, 1482, 1259, 267, 519, 1857, 10029, 3096, 519, 12250, 2497, 547, 3895, 6859, 2147, 547, 18228, 5121, 609, 12250, 5121, 267, 971, 607, 519, 2473, 541, 343, 320, 632, 14847, 11726, 333, 2886, 540, 519, 4972, 540, 4065, 540, 519, 4937, 18945, 632, 18280, 684, 5984, 563, 288, 1483, 2199, 3060, 454, 13295, 267, 1514, 5121 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5018, 609, 27527, 607, 3624, 779, 1034, 12913, 24116, 563, 763, 4457, 5636, 1622, 616, 10427, 267, 23344, 16970, 543, 678, 3578, 1652, 282, 972, 568, 7292, 8305, 19685, 540, 1312, 5011, 267, 2943, 519, 3197, 538, 519, 4670, 616, 711, 7292, 569, 610, 20833, 21678, 1996, 835, 1776, 269, 5637, 5011, 723, 19796, 1190, 267, 1447, 31032, 5991, 984, 548, 3197, 267, 513, 22576, 689, 3105, 4095, 8874, 563, 4407, 519, 26711, 540, 476, 3422, 273, 2611, 267, 519, 4095, 20369, 3832, 814, 16626, 18481, 547, 9446, 4457, 538, 513, 2407, 518, 6073, 269, 2368, 616, 9409, 267, 930, 1434, 543, 930, 616, 2241, 12563, 1175, 3478, 593, 609, 1554, 3562, 6377, 2729, 269, 634, 4095, 5869, 568, 17814, 607, 513, 10889, 3019, 1996, 519, 10427, 4457, 5636, 664, 267, 2943, 5609, 1356, 640, 17993, 856, 538, 519, 1439, 269, 2311, 519, 1482, 942, 267, 519, 4670, 10525, 7071, 540, 519, 19831, 6575, 540, 3624, 267, 519, 2197, 779, 13217, 906, 538, 2757, 4915, 267, 543, 11505, 1063, 519, 1079, 9082, 267, 22993, 538, 21054, 590, 752, 6062, 543, 2672, 5414, 267, 4535, 540, 606, 4095, 3993, 543, 513, 4457, 4651, 269, 634, 2702, 540, 12157, 16072, 547, 1788, 4190, 3344, 540, 4457, 2528, 9356, 519, 6015, 540, 3127, 538, 519, 476, 2641, 560, 2540, 563, 19675, 519, 2571, 1379, 540, 12157, 16072, 3136, 267, 543, 519, 8456, 17814, 538, 968, 6717, 273, 290, 892, 7173, 841, 267, 972, 568, 4126, 602, 519, 5767, 13882, 666, 581, 17251, 538, 513, 6891, 540, 11505, 543, 8994, 2463, 2864, 982, 29383, 563, 290, 3019, 3233, 918, 8692, 531, 8643, 568, 8956, 776, 20576, 8284, 693, 519, 15173, 15158, 4659, 540, 28299, 543, 4317, 7070, 267, 519, 10418, 540, 7489, 5525, 267, 634, 2160, 540, 15173, 15158, 267, 543, 2278, 540, 3875, 4930, 593, 19446, 4670, 269, 595, 3019, 3233, 849, 11339, 19636, 2835, 538, 19446, 543, 2296, 585, 9251, 1453, 563, 312, 1446, 10418, 585, 519, 1353, 540, 2518, 5314, 269, 0, 763, 2842, 8057, 6793, 607, 519, 4158, 12269, 3138, 15701, 269, 634, 5870, 1448, 729, 22125, 609, 1004, 689, 519, 16042, 4764, 269, 4634, 519, 17055, 1279, 26904, 5672, 320, 13196, 941, 16280, 547, 3343, 12062, 269, 898, 729, 513, 10116, 547, 8370, 950, 938, 10274, 3323, 547, 5855, 269, 4024, 519, 13009, 4163, 593, 610, 786, 621, 581, 23545, 539, 286, 3807, 607, 519, 9219, 13351, 8370, 267, 519, 12269, 3323, 547, 851, 543, 519, 3141, 695, 821, 29116, 593, 5839, 305, 527, 2151, 1763, 969, 7546, 5244, 269, 898, 729, 942, 547, 30134, 519, 13009, 2336, 5978, 2947, 2470, 10274, 543, 3670, 5171, 1500, 741, 1259, 547, 519, 1376, 540, 8891, 2967, 20417, 585, 519, 25328, 540, 7025, 5525, 630, 289, 2464, 264, 3220, 784, 657, 11461, 3802, 269, 1306, 789, 3459, 267, 519, 2319, 19481, 519, 5065, 2699, 26570, 535, 25717, 689, 922, 10058, 1289, 269, 5808, 1131, 723, 1634, 602, 971, 513, 29116, 12258, 10696, 543, 10978, 3662, 1223, 581, 1336, 538, 938, 7733, 888, 2026, 938, 10274, 3838, 827, 519, 1686, 540, 5839, 761, 2151, 1763, 969, 7546, 5244, 607, 513, 24873, 543, 513, 737, 2086, 784, 382, 372, 789, 11329, 856, 10058, 2371, 602, 723, 7283, 998, 519, 6502, 269, 1358, 3769, 519, 7381, 543, 23836, 21400, 10733, 3529, 630, 10193, 1634, 607, 519, 808, 601, 583, 784, 1070, 543, 519, 1000, 26325, 678, 3430, 534, 3529, 563, 763, 13009, 729, 4904, 609, 519, 24738, 543, 4992, 540, 1082, 540, 14135, 779, 5065, 7320, 269, 8729, 547, 938, 2470, 10274, 267, 938, 2319, 729, 2111, 547, 5544, 543, 2697, 513, 2647, 4763, 540, 2831, 971, 607, 519, 8930, 4174, 6244, 2389, 527, 3777, 321, 2401, 267, 1279, 26904, 5672, 320, 13196, 543, 1455, 3141, 1236, 1074, 563, 16524, 26904, 5839, 320, 13196, 630, 20124, 676, 22956, 7799, 994, 13349, 6129, 4787, 1074, 630, 20124, 676, 22956, 7799, 994, 2026, 519, 13009, 3357, 547, 606, 1439, 267, 519, 1895, 729, 30870, 676, 513, 3579, 30089, 2059, 519, 13111, 269, 898, 1185, 1044, 606, 3078, 543, 13181, 13009, 267, 609, 1312, 519, 5171, 543, 2470, 10274, 1565, 811, 827, 5839, 761, 2151, 1763, 969, 7546, 5244, 689, 1142, 824, 563, 2252, 596, 616, 5461, 547, 1451, 811, 827, 519, 7320, 538, 5839, 761, 2151, 267, 1287, 6443, 721, 585, 513, 1863, 11461, 3802, 693, 8891, 2967, 20417, 676, 19142, 909, 1934, 269, 3776, 7874, 2470, 10274, 1131, 2648, 547, 1491, 596, 593, 513, 13009, 596, 786, 711, 7340, 2336, 18184, 909, 585, 4600, 782, 936, 519, 1158, 1317, 621, 779, 4139, 20709, 685, 4303, 630, 320, 21993, 18502, 269, 23267, 4303, 25631, 898, 779, 513, 1554, 547, 2628, 24744, 547, 3025, 945, 814, 5249, 2182, 538, 741, 4610, 585, 519, 1967, 543, 1134, 5630, 540, 938, 4182, 281, 16413, 267, 9858, 267, 8030, 267, 2973, 619, 543, 1082, 267, 1082, 811, 269, 769, 519, 2067, 1158, 267, 2324, 568, 849, 851, 543, 1612, 4897, 540, 2831, 685, 2729, 585, 741, 3885, 543, 741, 6668, 269, 4165, 338, 543, 10987, 616, 5310, 519, 1034, 4922, 1634, 2182, 11529, 2831, 269, 1809, 267, 798, 596, 917, 540, 824, 2831, 602, 1685, 2147, 6009, 607, 1004, 798, 286, 1306, 649, 8661, 713, 9702, 609, 938, 1920, 543, 2828, 267, 1577, 779, 1491, 513, 4090, 547, 5660, 543, 3365, 7596, 930, 540, 519, 1034, 1802, 560, 686, 748, 2831, 538, 519, 2067, 1158, 2336, 3080, 540, 2470, 779, 6574, 8030, 267, 519, 581, 11232, 568, 519, 1152, 3662, 5827, 540, 4657, 741, 1604, 1310, 812, 256, 1452, 1804, 23224, 960, 29367, 547, 4020, 21394, 538, 8933, 610, 12535, 547, 2981, 4610, 543, 7733, 883, 1804, 267, 8799, 543, 5430, 344, 22253, 607, 741, 5321, 585, 5162, 269, 19369, 585, 713, 7372, 4070, 1788, 6238, 782, 519, 1259, 689, 3735, 4832, 547, 2887, 269, 2060, 519, 948, 540, 741, 2178, 4522, 543, 3532, 28287, 267, 519, 581, 28316, 616, 2111, 547, 13863, 2476, 693, 3529, 959, 16218, 547, 10536, 20743, 543, 8371, 585, 4070, 269, 2991, 1373, 7745, 1524, 883, 4130, 4773, 267, 519, 581, 28316, 1131, 4163, 519, 2326, 547, 519, 4070, 3135, 543, 1376, 2679, 519, 2481, 676, 18413, 16853, 543, 10518, 532, 8371, 538, 519, 16095, 563, 26773, 11529, 581, 11232, 14335, 922, 2481, 269, 630, 13126, 281, 25272, 9540, 3620, 1777, 335, 2517, 321, 836, 867, 2905, 18080, 2593, 4882, 331, 1938, 6011, 270, 8114, 560, 686, 748, 15515, 28316, 268, 732, 3620, 731, 27408, 22086, 270, 994, 288, 2142, 11232, 12456, 538, 29131, 630, 13126, 281, 13812, 11094, 5980, 3620, 1777, 335, 2517, 4178, 7456, 1161, 7220, 2593, 270, 4037, 279, 271, 15515, 11232, 1673, 4461, 28967, 739, 1606, 784, 12704, 1790, 641, 2827, 11258, 994, 763, 5256, 9045, 514, 645, 1077, 12704, 568, 5310, 519, 1034, 12913, 9703, 14704, 538, 519, 3662, 10806, 269, 634, 9038, 6108, 6266, 540, 2182, 960, 543, 942, 547, 1628, 543, 30164, 20097, 547, 4482, 8951, 685, 18906, 687, 269, 3212, 6277, 956, 267, 16115, 543, 5810, 616, 1851, 930, 540, 519, 7499, 3615, 519, 9038, 946, 538, 741, 3860, 9566, 1374, 563, 9617, 899, 875, 649, 2628, 1390, 3007, 593, 1857, 1072, 543, 9882, 267, 27194, 568, 849, 606, 1271, 6161, 538, 519, 7286, 1158, 269, 1656, 713, 5230, 5539, 6013, 593, 519, 11162, 518, 654, 6652, 572, 269, 1452, 6263, 24991, 960, 476, 2190, 270, 278, 1085, 745, 25290, 1055, 13311, 15495, 543, 4666, 10253, 593, 519, 27634, 267, 21217, 543, 1256, 28182, 540, 824, 11818, 24991, 269, 634, 8007, 540, 741, 2182, 960, 568, 519, 21649, 540, 15495, 256, 634, 11162, 518, 654, 6652, 572, 814, 513, 1279, 1592, 540, 7218, 267, 1519, 3677, 24991, 799, 1522, 581, 1761, 11975, 2336, 288, 1066, 1406, 782, 891, 7068, 5863, 26834, 3502, 1152, 798, 2831, 960, 1279, 2395, 543, 17334, 547, 7639, 267, 789, 849, 960, 2182, 538, 4509, 938, 5117, 609, 741, 9048, 2897, 762, 5578, 5036, 267, 971, 607, 9117, 607, 25199, 543, 10920, 1842, 619, 269, 2201, 713, 23267, 4303, 267, 1577, 779, 849, 8661, 519, 7418, 2831, 723, 1500, 2336, 15916, 2828, 267, 621, 779, 4989, 674, 8962, 685, 4303, 256, 1411, 917, 1018, 602, 1797, 281, 15361, 543, 24668, 7523, 648, 256, 1809, 952, 596, 616, 1934, 593, 713, 5816, 267, 2542, 713, 2022, 267, 1287, 596, 949, 723, 1044, 593, 519, 4950, 15388, 827, 3579, 929, 3471, 547, 7485, 593, 707, 2828, 630, 1993, 1576, 1040, 4595, 596, 2461, 2907, 1934, 267, 875, 827, 513, 2656, 2022, 547, 6505, 523, 707, 1554, 286, 2201, 713, 1554, 540, 1187, 543, 3756, 267, 1577, 779, 1491, 513, 1413, 693, 519, 5863, 8945, 9094, 540, 519, 3662, 1158, 267, 945, 949, 8945, 741, 1259, 1472, 547, 3251, 9800, 267, 610, 1175, 547, 723, 513, 1434, 942, 563, 5575, 538, 1899, 568, 513, 3448, 540, 938, 4408, 820, 267, 519, 1743, 784, 334, 269, 13018, 519, 674, 1251, 26904, 3220, 784, 334, 267, 688, 6150, 607, 519, 17833, 1695, 926, 9390, 779, 6574, 8945, 3122, 269, 20290, 476, 2537, 2600, 540, 741, 3232, 6981, 568, 21687, 1426, 267, 855, 585, 519, 2831, 602, 789, 21102, 689, 267, 519, 1743, 784, 334, 568, 9247, 513, 7874, 4585, 12704, 267, 2394, 646, 27605, 513, 2656, 929, 1678, 593, 873, 563, 2691, 513, 23246, 568, 2282, 267, 519, 1743, 784, 334, 7125, 856, 538, 15372, 547, 24633, 922, 2828, 267, 971, 607, 519, 803, 17064, 1846, 267, 11488, 873, 1085, 584, 11538, 2476, 585, 3382, 269, 2334, 779, 7168, 5363, 267, 4849, 519, 1743, 784, 334, 2220, 334, 3591, 1524, 543, 2848, 1023, 519, 1426, 519, 803, 17064, 1846, 2451, 538, 741, 1391, 585, 513, 15720, 5544, 563, 763, 1743, 784, 334, 13290, 713, 513, 1906, 2053, 267, 4352, 519, 803, 17064, 1846, 1451, 543, 5555, 519, 17254, 568, 909, 269, 1809, 1934, 779, 1945, 3579, 281, 607, 513, 3803, 8945, 267, 519, 1743, 784, 334, 13147, 923, 519, 803, 17064, 520, 779, 1378, 15372, 1289, 267, 543, 713, 942, 267, 519, 803, 17064, 1846, 2887, 585, 621, 267, 22502, 2476, 607, 519, 1743, 784, 334, 524, 871, 956, 24323, 543, 2848, 1023, 741, 1426, 2899, 1586, 563, 3719, 1018, 616, 1913, 950, 972, 616, 7044, 286, 1703, 779, 513, 3579, 17157, 602, 596, 949, 2972, 267, 2347, 609, 10565, 2575, 543, 3318, 2756, 2762, 563, 9202, 267, 649, 723, 519, 23516, 12551, 269, 6182, 5896, 267, 621, 779, 711, 607, 20036, 607, 519, 674, 1251, 26904, 3220, 784, 334, 267, 855, 972, 779, 513, 2601, 269, 901, 15195, 3165, 5654, 543, 6411, 899, 513, 4666, 6978, 267, 4371, 909, 538, 513, 2048, 4148, 334, 908, 685, 2990, 676, 922, 1507, 267, 12001, 27634, 269, 1358, 3580, 8732, 1302, 10581, 2673, 2614, 547, 741, 10352, 267, 543, 3025, 779, 2348, 513, 1434, 942, 2394, 621, 16716, 693, 519, 2063, 4090, 267, 10438, 4130, 24991, 609, 922, 1788, 850, 5023, 563, 10190, 649, 723, 519, 9098, 1566, 1601, 636, 269, 634, 2165, 2048, 2452, 532, 1502, 636, 685, 24865, 689, 713, 2370, 18560, 267, 607, 950, 922, 19225, 2989, 267, 519, 3662, 1594, 2863, 3320, 12772, 2048, 1372, 611, 8730, 1282, 799, 621, 13888, 839, 609, 922, 5023, 1930, 543, 5323, 565, 532, 543, 13847, 513, 23296, 577, 540, 9178, 269, 634, 1566, 1601, 636, 779, 5323, 565, 849, 3123, 11975, 547, 27464, 2312, 540, 873, 267, 607, 5323, 565, 532, 2356, 6920, 19210, 563, 9202, 267, 649, 723, 519, 30064, 26904, 24125, 539, 22870, 704, 267, 513, 2249, 10362, 547, 513, 12593, 540, 9006, 10535, 642, 760, 619, 267, 945, 616, 865, 16602, 621, 779, 9409, 269, 1306, 596, 666, 2995, 689, 922, 2012, 267, 519, 1439, 540, 922, 2766, 20998, 513, 17178, 267, 799, 621, 3096, 607, 513, 561, 675, 585, 5521, 643, 5387, 5017, 269, 634, 11696, 28917, 568, 865, 2147, 602, 519, 6177, 949, 829, 577, 593, 519, 13131, 3294, 267, 13941, 621, 1134, 1369, 519, 13131, 779, 11495, 2039, 563, 1607, 568, 606, 6909, 12105, 9542, 602, 779, 4378, 539, 513, 7415, 10122, 4480, 269, 3371, 779, 519, 1101, 2479, 3381, 3144, 540, 519, 19274, 704, 538, 2962, 269, 13772, 621, 609, 13657, 267, 607, 519, 15669, 779, 5639, 949, 29057, 596, 513, 2370, 811, 982, 519, 19274, 704, 3294, 563, 8310, 855, 711, 2547, 267, 649, 9090, 666, 1406, 4734, 856, 835, 540, 519, 1034, 10995, 8945, 9094, 538, 519, 3662, 10806 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6624, 4207, 15832, 9089, 10023, 1507, 1870, 5411, 11168, 519, 1379, 540, 2648, 547, 948, 2043, 7753, 14488, 269, 1635, 2324, 1927, 998, 4101, 2053, 267, 15185, 666, 7794, 741, 6125, 543, 10836, 4619, 16124, 1996, 782, 12918, 269, 22718, 1808, 1806, 540, 713, 7708, 701, 666, 22113, 6626, 2686, 8456, 2509, 6043, 267, 16177, 267, 543, 519, 13710, 1761, 540, 15982, 3347, 780, 289, 269, 25085, 618, 543, 8682, 5937, 18752, 692, 5194, 11342, 6249, 538, 713, 24848, 516, 568, 519, 10206, 540, 16882, 543, 1582, 22523, 3842, 20835, 269, 16992, 4749, 7832, 593, 15322, 540, 2123, 2208, 607, 789, 10131, 543, 1332, 741, 4213, 267, 1565, 3407, 1272, 4245, 2059, 519, 1259, 269, 9181, 532, 891, 6386, 666, 5000, 8086, 593, 519, 10167, 1063, 3318, 1967, 543, 2123, 20106, 780, 309, 269, 17583, 547, 7351, 12367, 543, 7464, 21509, 6201, 692, 2026, 811, 1004, 9784, 519, 2856, 540, 4358, 741, 1378, 26136, 267, 621, 3587, 5051, 1271, 585, 5830, 547, 8308, 2099, 519, 3675, 903, 543, 9620, 2404, 609, 1507, 1870, 9562, 269, 14301, 2390, 1483, 8996, 2013, 2090, 267, 3377, 4930, 267, 543, 11042, 609, 3811, 11639, 666, 10802, 14070, 28402, 543, 22937, 17258, 547, 3197, 262, 2833, 269, 18964, 1053, 547, 4497, 609, 4207, 11407, 4478, 20835, 786, 849, 6536, 3152, 4656, 540, 4143, 1514, 2152, 543, 3895, 1134, 26455, 5717, 780, 9654, 269, 10390, 692, 1607, 1576, 1770, 20217, 1053, 547, 9691, 5659, 11269, 540, 1507, 1870, 5411, 1369, 4207, 15832, 5708, 267, 6236, 3344, 971, 607, 1915, 1646, 267, 4729, 2497, 267, 543, 21044, 5079, 269, 3414, 6297, 6514, 540, 5697, 5931, 543, 4276, 547, 1699, 3466, 267, 3988, 786, 15052, 741, 1620, 540, 1312, 519, 9135, 543, 519, 10848, 540, 2413, 20835, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 944, 8745, 4855, 338, 454, 301, 5446, 5696, 650, 4800, 267, 2290, 22830, 693, 513, 5384, 563, 11740, 266, 5675, 26269, 18780, 454, 6701, 596, 4712, 547, 13686, 707, 1603, 1983, 543, 25793, 1662, 707, 3860, 21184, 888, 16100, 1100, 2417, 982, 713, 12473, 1603, 6735, 2336, 1103, 713, 5816, 267, 649, 786, 2263, 519, 1158, 540, 1603, 6735, 4408, 543, 875, 789, 666, 8300, 543, 5337, 924, 707, 9345, 563, 15371, 596, 2461, 606, 14971, 5856, 610, 513, 19023, 1913, 19431, 267, 713, 16311, 568, 519, 3501, 4316, 547, 4161, 3054, 543, 13686, 707, 13007, 563, 7476, 4712, 547, 4685, 883, 513, 1158, 540, 3970, 1652, 7399, 607, 649, 3391, 596, 998, 519, 1184, 540, 4466, 519, 3501, 2012, 585, 707, 1603, 6735, 563, 4131, 707, 5876, 865, 541, 543, 6443, 721, 593, 713, 3078, 3460, 2336, 290, 2255, 344, 5675, 26269, 18780, 454, 272, 269, 3503, 1299, 12736, 256, 476, 273, 269, 9293, 19431, 8058, 6658, 32273, 491, 20804, 476, 274, 269, 6755, 2782, 19144, 5236, 372, 493, 414, 504, 498, 20804, 476, 275, 269, 11300, 769, 330, 7420, 32273, 496, 20804, 476, 276, 269, 634, 4279, 6478, 15391, 5236, 372, 493, 27501, 478, 20804, 476, 277, 269, 2480, 1026, 1076, 2006, 807, 476, 278, 269, 16520, 681, 18443, 476, 279, 269, 3503, 898, 4934, 700, 3716, 256, 476, 280, 269, 634, 31597, 5675, 8058, 6658, 32273, 491, 20804, 476, 1015, 269, 9293, 1133, 548, 14414, 5236, 372, 493, 5236, 372, 493, 476, 1556, 269, 634, 5675, 674, 1066, 5414, 5236, 372, 493, 476, 1321, 269, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22102, 6355, 13574, 619, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 31071, 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, 27915, 519, 19371, 9919, 4979, 281, 6184, 25378, 6468, 538, 5303, 543, 29661, 1222, 692, 7072, 912, 5970, 596, 2479, 26927, 3139, 540, 4358, 707, 1378, 1870, 286, 9320, 596, 723, 513, 1390, 2856, 585, 513, 1007, 1587, 610, 3028, 602, 596, 1589, 824, 1004, 1131, 2648, 256, 4270, 267, 1705, 596, 917, 602, 972, 616, 1082, 2021, 856, 972, 945, 723, 2944, 1175, 602, 910, 2523, 538, 519, 2361, 540, 2029, 256, 1452, 4250, 1652, 4775, 3401, 616, 8840, 1524, 7496, 543, 22338, 519, 1259, 585, 2104, 5481, 540, 6690, 547, 8011, 538, 1870, 543, 10509, 269, 2913, 781, 1451, 827, 930, 540, 891, 5863, 1909, 3631, 543, 3605, 875, 789, 2811, 1818, 513, 3017, 2439, 25603, 27211, 14265, 6506, 327, 1678, 281, 589, 20417, 4565, 1794, 518, 538, 15306, 543, 25925, 454, 32458, 692, 3080, 11121, 1383, 540, 513, 4807, 14762, 538, 1312, 2029, 543, 20835, 568, 27211, 14265, 6506, 327, 1678, 269, 18004, 538, 4789, 267, 27211, 1185, 2141, 1044, 19832, 676, 519, 1158, 540, 5898, 543, 6752, 2094, 1352, 729, 1762, 269, 4173, 4651, 5249, 585, 4860, 23127, 267, 835, 540, 519, 7887, 30143, 3549, 11451, 267, 799, 17275, 1200, 1719, 1256, 2417, 269, 2991, 11264, 1200, 2069, 267, 27211, 3459, 1200, 3318, 3460, 538, 2923, 543, 6725, 267, 5555, 13941, 513, 2816, 609, 9473, 2946, 715, 770, 1107, 519, 17404, 3297, 4583, 17476, 899, 966, 4084, 267, 11709, 640, 12876, 267, 543, 717, 304, 269, 4438, 1200, 942, 693, 9473, 2946, 715, 770, 267, 27211, 4718, 519, 1761, 540, 9256, 1200, 6612, 585, 5898, 609, 6932, 3059, 4066, 269, 901, 20185, 3366, 1200, 547, 1831, 519, 2754, 781, 1101, 6732, 20497, 10615, 1394, 538, 476, 1960, 276, 950, 7270, 941, 1869, 5266, 1007, 780, 28275, 4173, 13574, 6355, 281, 3733, 17004, 13826, 454, 5785, 19030, 5475, 1296, 540, 1995, 538, 519, 2872, 267, 27211, 4956, 621, 729, 942, 547, 14679, 883, 20835, 543, 8547, 3733, 17004, 13826, 538, 476, 1001, 273, 269, 3733, 17004, 13826, 568, 606, 5499, 552, 19645, 3760, 6131, 547, 5009, 4830, 5898, 12478, 2813, 676, 2021, 269, 898, 2488, 3255, 585, 16805, 4775, 11639, 547, 13686, 741, 2472, 1247, 5356, 5561, 2189, 543, 1164, 7779, 3688, 269, 1635, 2870, 713, 1870, 267, 27211, 5280, 8115, 519, 7934, 1063, 14971, 4775, 27428, 543, 6800, 3168, 585, 13395, 5898, 2472, 269, 1306, 513, 1267, 267, 1352, 781, 23518, 9118, 2021, 998, 1200, 960, 543, 7152, 1018, 666, 4755, 950, 8990, 10742, 5647, 780, 763, 5295, 540, 9861, 645, 1245, 454, 2411, 15365, 301, 3599, 781, 1650, 11414, 721, 519, 2956, 540, 1373, 12050, 543, 1739, 938, 9909, 269, 1879, 5185, 609, 2591, 267, 2436, 789, 2097, 689, 6848, 6788, 610, 2123, 22027, 267, 12703, 2043, 7903, 4464, 543, 1711, 1945, 9058, 269, 1656, 602, 781, 10502, 1018, 27211, 1705, 269, 2060, 1200, 3573, 4282, 538, 2923, 267, 6725, 267, 543, 2029, 267, 1352, 6444, 513, 991, 538, 519, 19458, 543, 3576, 2962, 269, 4653, 267, 7064, 547, 21722, 2021, 899, 27211, 14265, 6506, 327, 1678, 267, 972, 616, 811, 2200, 2139, 982, 2479, 1354, 585, 1762, 6690, 5461, 538, 13197, 11678, 538, 13241, 630, 16631, 267, 5303, 267, 7177, 267, 543, 9119, 264, 4610, 543, 29426, 26136, 780, 6962, 454, 29603, 2026, 596, 1847, 4464, 538, 1272, 267, 3314, 27211, 14265, 6506, 327, 1678, 781, 1650, 543, 1577, 621, 8300, 596, 547, 2736, 1524, 1022, 7496, 7555, 538, 707, 1259, 269, 6787, 596, 4126, 547, 10131, 707, 23492, 14693, 610, 14133, 538, 513, 5256, 26730, 3990, 2361, 267, 2760, 7340, 602, 972, 616, 2178, 267, 3811, 2021, 856, 972, 4712, 547, 1489, 543, 5000, 596, 2059, 519, 1259, 269, 5901, 11319, 3054, 267, 3251, 8049, 267, 543, 9784, 1169, 4316, 547, 1332, 543, 1451, 269, 5808, 6487, 1765, 16673, 2041, 14693, 4166, 267, 649, 786, 1224, 827, 707, 18454, 1934, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1001, 278, 568, 1305, 547, 581, 519, 1032, 602, 519, 2029, 5823, 1159, 10449, 519, 4837, 18109, 267, 2687, 547, 1382, 602, 8761, 811, 2021, 982, 2367, 616, 4397, 547, 1376, 741, 1378, 10509, 1870, 713, 1032, 563, 1607, 1032, 779, 6249, 585, 4139, 6468, 779, 4303, 267, 513, 2518, 11812, 540, 519, 1514, 267, 2804, 267, 2686, 543, 2797, 10781, 540, 2021, 267, 568, 513, 1289, 547, 2962, 585, 519, 1870, 2146, 547, 585, 613, 513, 811, 8537, 267, 4008, 3160, 1158, 282, 1948, 6826, 289, 1245, 2690, 27087, 563, 3719, 519, 5823, 2907, 814, 513, 1297, 540, 13009, 1025, 1794, 619, 3056, 519, 1259, 585, 2021, 538, 2029, 269, 3371, 616, 519, 1283, 11639, 649, 8910, 899, 547, 21028, 538, 3257, 1175, 602, 563, 301, 3599, 14265, 6506, 327, 1678, 267, 16628, 543, 13653, 267, 3733, 17004, 13826, 454, 32513, 658, 16724, 27211, 14265, 328, 802, 327, 1678, 729, 6273, 547, 4283, 519, 5898, 1870, 693, 513, 1360, 1762, 2085, 267, 7487, 1200, 4651, 779, 4876, 1491, 1055, 538, 4860, 23127, 269, 2701, 3323, 1200, 4876, 2324, 585, 9473, 2946, 715, 770, 593, 10643, 971, 607, 966, 4084, 543, 2622, 540, 3955, 12542, 538, 6725, 543, 10229, 267, 543, 2968, 519, 13629, 2777, 779, 2228, 5010, 8689, 538, 476, 1960, 276, 907, 5016, 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, 3848, 476, 1724, 281, 9214, 323, 1043, 4095, 24538, 338, 2439, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 1271, 7786, 616, 286, 4014, 6263, 267, 891, 7068, 1404, 5458, 5107, 538, 938, 1604, 256, 3245, 26853, 547, 17883, 267, 7786, 948, 1832, 938, 5117, 7059, 269, 1809, 4585, 856, 1765, 2254, 782, 7786, 616, 20027, 256, 2913, 781, 2263, 930, 4241, 543, 3006, 5906, 7786, 602, 1289, 3127, 1753, 780, 4089, 476, 272, 281, 595, 3863, 1782, 7600, 1562, 692, 12901, 338, 267, 524, 4459, 1115, 267, 22404, 267, 19315, 1250, 256, 9894, 596, 917, 602, 3127, 814, 5215, 540, 1884, 2249, 4805, 286, 2290, 971, 2249, 568, 519, 1507, 2699, 1884, 267, 25337, 585, 922, 11213, 11116, 269, 1452, 2370, 16921, 666, 581, 5739, 547, 1312, 3425, 543, 10130, 267, 2523, 950, 789, 1745, 12219, 269, 1411, 1522, 1265, 873, 538, 707, 4677, 610, 593, 3484, 1633, 267, 1141, 789, 1628, 1950, 11895, 5321, 1572, 10125, 780, 5194, 4277, 17875, 2401, 568, 519, 3727, 25319, 269, 9521, 824, 524, 4459, 1115, 267, 713, 17079, 14560, 20857, 25310, 3079, 540, 13465, 8964, 256, 1358, 946, 741, 2178, 4395, 7953, 899, 15524, 12069, 267, 11319, 13897, 2476, 1247, 2870, 18241, 2713, 5624, 269, 2755, 789, 5749, 1406, 3335, 5739, 547, 721, 267, 789, 666, 3441, 7031, 676, 4189, 2030, 5072, 780, 15563, 267, 1577, 781, 2911, 827, 546, 2426, 22404, 269, 7186, 781, 6691, 619, 256, 1452, 5363, 7786, 2736, 1524, 3662, 3653, 267, 7432, 621, 883, 8770, 11656, 3037, 269, 1635, 3257, 865, 267, 789, 5351, 538, 2030, 2208, 543, 2061, 1216, 5533, 269, 9578, 267, 8384, 513, 546, 2426, 27134, 5066, 513, 3501, 3440, 540, 31997, 568, 9642, 569, 17598, 2439, 4089, 476, 273, 281, 645, 1746, 1299, 853, 15781, 645, 13903, 692, 5278, 7786, 2097, 9280, 609, 2067, 8878, 6127, 899, 8325, 17486, 543, 3532, 588, 902, 269, 1744, 1752, 12961, 543, 588, 1074, 12961, 616, 1079, 971, 1814, 1562, 269, 1879, 4743, 13155, 267, 789, 5305, 28067, 23337, 2454, 6878, 610, 5838, 2656, 562, 2354, 998, 741, 28608, 5023, 30672, 269, 744, 1276, 2439, 28350, 2572, 949, 1413, 17608, 267, 855, 1810, 1405, 30391, 873, 269, 12389, 538, 1804, 10125, 267, 30412, 3049, 5631, 593, 3574, 267, 4929, 4049, 3959, 14796, 5001, 269, 9605, 13219, 267, 2705, 267, 946, 741, 16657, 585, 1434, 1107, 19788, 29982, 2864, 982, 530, 8973, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12448, 15506, 1399, 1477, 258, 476, 2537, 270, 6021, 270, 1691, 1477, 258, 4886, 3635, 476, 273, 5897, 2745, 2891, 1607, 1982, 786, 5173, 5232, 18278, 883, 5232, 2578, 580, 8565, 257, 10142, 325, 16366, 815, 703, 9272, 2891, 8923, 4283, 519, 18278, 2837, 281, 834, 264, 10142, 1417, 580, 8565, 815, 10581, 9230, 325, 16366, 910, 476, 3953, 264, 2608, 630, 276, 270, 280, 264, 10142, 2745, 2891, 763, 2837, 538, 1298, 580, 8565, 568, 281, 2715, 271, 348, 2668, 8971, 263, 1417, 580, 8565, 17903, 4449, 21506, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 12163, 1372, 4545, 6847, 692, 17958, 30678, 10524, 492, 5291, 2517, 1372, 534, 4877, 31343, 12975, 6983, 333, 17276, 488, 497, 9463, 500, 25060, 501, 11590, 361, 27962, 27730, 13644, 378, 31801, 489, 23989, 7511, 16533, 493, 31801, 489, 31365, 454, 30853, 26033, 483, 1250, 16282, 343, 338, 32464, 4179, 2517, 326, 603, 889, 2593, 270, 3240, 16282, 343, 338, 32464, 692, 28032, 507, 420, 369, 500, 16088, 454, 7090, 274, 454, 6826, 2246, 3814, 306, 19281, 692, 12916, 379, 17958, 25913, 25622, 16088, 454, 25203, 368, 26406, 354, 13213, 494, 27310, 692, 18777, 372, 23746, 22287, 493, 18777, 362, 16088, 294, 12195, 341, 274, 692, 20701, 5814, 2712, 961, 756, 269, 27785, 454, 5814, 26417, 454, 5228, 5291, 17085, 1304, 1104, 26824, 3519, 3825, 454, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 692, 14701, 3198, 318, 9816, 4306, 815, 1412, 1372, 534, 4877, 31343, 12975, 6983, 333, 7055, 3918, 12702, 12239, 318, 4047, 4696, 2207, 815, 27835, 27165, 5025, 7217, 9166, 262, 300, 9926, 8759, 270, 276, 269, 271, 262, 8679, 17269, 4306, 318, 4047, 4696, 2207, 815, 27835, 32098, 6874, 4286, 9166, 262, 1952, 997, 566, 24474, 268, 4178, 27322, 268, 584, 6352, 322, 10757, 3299, 1412, 27165, 5025, 7217, 9166, 262, 300, 9926, 8759, 270, 276, 269, 271, 262, 8679, 14701, 3198, 318, 2894, 4596, 291, 5058, 815, 1412, 326, 321, 23211, 273, 28847, 3698, 632, 534, 318, 7528, 652, 263, 14766, 267, 1505, 8782, 294, 4953, 3299, 1239, 22561, 264, 9847, 27202, 306, 19281, 912, 825, 952, 1239, 568, 711, 7183, 912, 1038, 952, 711, 568, 27349, 16597, 267, 1193, 2187, 2018, 1239, 815, 2712, 961, 756, 269, 27785, 269, 584, 6352, 13892, 16597, 994, 1038, 952, 1505, 2652, 1412, 294, 4953, 12466, 2018, 29250, 815, 29250, 1341, 1412, 286, 262, 1341, 1239, 454, 2018, 1239, 815, 7183, 454, 825, 598, 333, 815, 26824, 3519, 3825, 263, 14701, 3198, 318, 9816, 4306, 994, 825, 598, 333, 269, 7528, 652, 18692, 1038, 1505, 2676, 1038, 29250, 2676, 1038, 2212, 619, 284, 3918, 12702, 12239, 318, 4047, 4696, 2207, 952, 1505, 11203, 1412, 17269, 4306, 262, 3116, 18161, 4306, 318, 4047, 4696, 2207, 2676, 1038, 1560, 284, 11907, 994, 825, 3210, 815, 598, 333, 10947, 24978, 4590, 825, 952, 3210, 14714, 9850, 11203, 476, 1220, 912, 1038, 6318, 1401, 4003, 3488, 12487, 9143, 7662, 8959, 3299, 3210, 14714, 9850, 267, 29250, 267, 1505, 267, 1239, 994, 825, 1267, 815, 3210, 18667, 14061, 1372, 13892, 263, 16780, 5317, 284, 14701, 3198, 318, 2894, 4596, 291, 5058, 267, 6959, 8782, 793, 648, 5073, 825, 598, 333, 25379, 4590, 825, 3210, 25379, 4590, 825, 17339, 815, 27202, 306, 19281, 31114, 267, 834, 6255, 6447, 276, 12221, 5602, 825, 2132, 17339, 692, 3698, 632, 534, 13448, 333, 343, 336, 10031, 825, 17339, 815, 632, 534, 318, 7528, 652, 3488, 270, 335, 330, 644, 6756, 11305, 6847, 31574, 322, 321, 21703, 3299, 1412, 294, 4953, 5073, 825, 585, 2824, 538, 17339, 26098, 318, 718, 3488, 572, 937, 262, 2187, 1038, 952, 2824, 9131, 4067, 11172, 2652, 1412, 343, 333, 343, 336, 12466, 2018, 585, 4781, 538, 2824, 26098, 318, 718, 3488, 641, 5406, 262, 2187, 3546, 6556, 4781, 9131, 7407, 262, 6540, 3698, 632, 534, 5091, 788, 10031, 825, 585, 1535, 333, 343, 336, 538, 632, 534, 13448, 333, 343, 336, 10031, 1038, 17339, 815, 632, 534, 318, 7528, 652, 3488, 270, 335, 330, 644, 6756, 11305, 6847, 31574, 322, 321, 21703, 3299, 1412, 294, 4953, 3299, 27835, 343, 333, 343, 336, 9166, 1535, 333, 343, 336, 348, 994, 1038, 3349, 815, 17339, 26098, 3488, 14456, 5073, 1038, 952, 711, 3349, 912, 2018, 3136, 454, 1038, 585, 959, 538, 3349, 26098, 318, 718, 3488, 13700, 262, 2187, 2018, 513, 815, 959, 26098, 3488, 320, 5073, 2018, 952, 513, 568, 7183, 912, 3546, 3136, 454, 2018, 4164, 338, 815, 513, 9131, 327, 10915, 262, 4940, 20889, 3488, 286, 10807, 314, 272, 2639, 2018, 6556, 2712, 961, 756, 269, 27785, 269, 27785, 318, 336, 16435, 263, 1706, 4461, 1070, 1412, 29717, 21860, 6025, 337, 14714, 686, 5529, 23919, 902, 2020, 3698, 632, 534, 6831, 528, 4926, 10031, 825, 585, 1244, 267, 1244, 12173, 538, 632, 534, 5091, 788, 10031, 1038, 1244, 16769, 815, 9598, 5560, 788, 994, 1038, 1820, 9230, 24119, 12173, 267, 1244, 16769, 9131, 343, 333, 28710, 1244, 16769, 9131, 343, 336, 11172, 4917, 1038, 1244, 6910, 263, 3488, 5414, 3299, 1412, 260, 29125, 1038, 1244, 6910, 263, 3488, 333, 329, 3299, 1412, 260, 29125, 1038, 17339, 815, 632, 534, 318, 7528, 652, 3488, 270, 335, 330, 644, 6756, 11305, 6847, 31574, 322, 321, 343, 338, 21703, 3299, 1412, 17269, 4306, 3299, 1244, 994, 1038, 3349, 815, 17339, 26098, 3488, 14456, 5073, 1038, 2212, 4671, 337, 815, 3349, 26098, 3488, 13700, 5073, 1038, 9843, 815, 11713, 1038, 585, 555, 538, 2212, 4671, 337, 26098, 318, 718, 3488, 628, 262, 2187, 2018, 9843, 6910, 3488, 29717, 21860, 263, 628, 14714, 686, 5529, 23919, 902, 11723, 1038, 585, 959, 538, 3349, 26098, 318, 718, 3488, 13700, 262, 2187, 2018, 1267, 16769, 815, 11713, 2018, 3095, 815, 7183, 454, 2018, 1267, 16769, 6910, 263, 3488, 27730, 23946, 368, 27730, 10951, 509, 3299, 21029, 8339, 21860, 9230, 24119, 16769, 9131, 343, 333, 28710, 1244, 16769, 9131, 343, 336, 11172, 4297, 4917, 2018, 1267, 16769, 6910, 263, 3488, 419, 367, 375, 19867, 478, 12571, 491, 26175, 364, 263, 18662, 338, 264, 3299, 1244, 12173, 4917, 2018, 585, 2012, 267, 512, 323, 538, 23407, 263, 21650, 267, 959, 26098, 318, 718, 3488, 11575, 10807, 2187, 3546, 1267, 16769, 6910, 9230, 4067, 267, 1412, 29717, 21860, 6025, 323, 14714, 686, 5529, 23919, 902, 21875, 3546, 513, 815, 512, 323, 26098, 3488, 320, 5073, 3546, 952, 513, 568, 711, 7183, 912, 7386, 3095, 815, 513, 9131, 327, 10915, 23300, 2018, 952, 7003, 31114, 16769, 264, 2652, 476, 273, 912, 3546, 3136, 454, 2018, 1267, 16769, 6910, 263, 3488, 13644, 378, 31801, 489, 421, 497, 378, 26406, 354, 3299, 3095, 4917, 2018, 6556, 1267, 16769, 692, 3698, 2132, 5091, 19302, 6958, 1009, 263, 527, 2187, 825, 621, 815, 12055, 263, 527, 994, 825, 1239, 815, 1985, 263, 527, 994, 825, 6556, 1239, 454, 825, 6556, 1239, 454, 825, 585, 1239, 538, 621, 912, 1038, 6556, 1239, 692, 3698, 1292, 10031, 825, 1576, 318, 3438, 815, 12055, 263, 8873, 5091, 19302, 6958, 1009, 263, 1372, 534, 6831, 528, 4926, 3890, 11723, 825, 609, 1930, 3488, 5035, 525, 27406, 3299, 1412, 342, 3299, 1007, 1467, 8782, 315, 333, 10807, 607, 26417, 18316, 912, 1038, 5856, 815, 26417, 6185, 1112, 310, 31581, 6262, 12364, 18316, 267, 2361, 12849, 17342, 4067, 585, 2012, 267, 9041, 538, 1985, 6262, 6847, 318, 3438, 264, 7481, 1038, 5856, 22182, 3650, 518, 4590, 1038, 585, 9041, 267, 1576, 538, 26246, 6262, 6847, 318, 3438, 2187, 2018, 5856, 9884, 31581, 578, 5560, 1112, 6262, 6847, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 21602, 547, 2721, 25965, 538, 519, 3239, 454, 5814, 20956, 273, 454, 13548, 815, 20956, 273, 269, 574, 1348, 3488, 6352, 320, 27970, 5073, 258, 6282, 525, 513, 4544, 13551, 936, 519, 3003, 8700, 540, 519, 3239, 454, 13548, 314, 1789, 281, 2004, 267, 2433, 316, 815, 630, 14838, 267, 476, 271, 267, 476, 271, 994, 258, 6282, 525, 513, 2699, 4009, 454, 13548, 314, 1911, 281, 5611, 267, 476, 2004, 281, 1911, 316, 815, 630, 271, 267, 476, 271, 267, 476, 14838, 994, 258, 23095, 513, 5835, 13551, 782, 936, 519, 3239, 4463, 454, 13548, 18020, 476, 1220, 281, 13136, 316, 815, 630, 271, 267, 476, 14838, 267, 476, 14838, 994, 258, 6282, 525, 513, 3039, 13551, 689, 1899, 476, 5611, 547, 476, 4968, 593, 9587, 476, 7742, 547, 476, 12573, 454, 13548, 314, 5611, 281, 22145, 267, 476, 7742, 281, 31620, 316, 815, 630, 271, 267, 476, 14838, 267, 476, 271, 994, 258, 6282, 525, 513, 19826, 4009, 689, 1899, 476, 4968, 547, 476, 6110, 593, 9587, 476, 2004, 547, 476, 5611, 454, 13548, 314, 4968, 281, 25002, 267, 476, 2004, 281, 25172, 316, 815, 630, 14838, 267, 476, 14838, 267, 476, 271, 994, 258, 6282, 525, 513, 3043, 4009, 454, 13548, 314, 7742, 281, 12573, 267, 476, 4968, 281, 6110, 316, 815, 630, 14838, 267, 476, 14838, 267, 476, 14838, 994, 258, 6282, 525, 513, 3109, 13551, 454, 13548, 314, 3583, 281, 1911, 267, 476, 4968, 281, 476, 14596, 316, 815, 630, 271, 267, 476, 271, 267, 476, 271, 2020, 29764, 273, 269, 574, 19651, 3488, 2704, 339, 1229, 3239, 3299, 3239, 994, 29764, 273, 269, 574, 31095, 3488, 5550, 9201, 27970, 3299, 3239, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 994, 0, 258, 21602, 602, 4729, 12457, 4336, 3239, 27008, 454, 5814, 20956, 273, 454, 5814, 21267, 28272, 607, 12301, 692, 326, 2001, 815, 20956, 273, 269, 574, 1348, 3488, 6352, 320, 27970, 3299, 20956, 273, 269, 8379, 3918, 4696, 318, 294, 6938, 312, 17092, 3201, 292, 994, 29764, 273, 269, 574, 19651, 3488, 294, 2001, 12005, 3299, 12457, 994, 7290, 6945, 815, 20956, 273, 269, 5632, 322, 9303, 8443, 326, 2001, 3910, 9055, 17342, 271, 3910, 9633, 22561, 2676, 4449, 1363, 1277, 23917, 17342, 16348, 3910, 9832, 17342, 271, 267, 476, 16348, 7481, 10823, 8807, 2682, 4590, 10823, 26644, 3488, 9303, 6945, 5073, 10823, 11859, 16932, 3488, 4504, 7295, 5073, 10823, 269, 29786, 3488, 23797, 640, 540, 623, 1460, 1564, 5073, 10823, 19502, 263, 7290, 6945, 994, 10823, 11859, 3916, 8443, 271, 267, 476, 16348, 7481, 258, 6271, 1259, 547, 4729, 27008, 454, 258, 12301, 269, 7290, 14116, 2001, 269, 30584, 19572, 25510, 284, 16348, 267, 2039, 17342, 271, 267, 476, 16348, 7481, 10823, 4732, 1511, 14808, 3488, 7290, 6945, 26666, 5073, 29764, 273, 9884, 7159, 7659, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 2290, 1899, 9226, 3009, 547, 6999, 5789, 787, 28581, 609, 2688, 4463, 543, 454, 258, 5048, 563, 16482, 258, 672, 27661, 258, 825, 2878, 20330, 258, 567, 2878, 1262, 20330, 258, 476, 2878, 7052, 20330, 258, 2878, 7052, 1262, 20330, 258, 672, 11406, 16482, 258, 8585, 787, 28581, 2336, 258, 26402, 281, 9226, 3529, 18258, 454, 258, 667, 2570, 1890, 281, 5124, 476, 274, 269, 311, 692, 10857, 10033, 8700, 281, 1820, 28361, 30033, 314, 271, 282, 3953, 282, 2412, 332, 346, 29728, 4153, 333, 346, 10174, 4153, 333, 14826, 315, 30033, 314, 276, 282, 4029, 282, 2412, 332, 31551, 20687, 4153, 333, 315, 30033, 314, 271, 332, 8339, 8971, 6025, 872, 8782, 315, 333, 8339, 21860, 3488, 24001, 8339, 8971, 263, 3488, 26926, 483, 262, 2608, 6801, 1040, 22487, 263, 12296, 267, 1412, 9538, 4297, 585, 6801, 538, 2039, 263, 272, 267, 8700, 267, 476, 273, 24270, 3597, 8782, 16123, 497, 8339, 22487, 263, 12296, 1070, 5048, 284, 6358, 2891, 1432, 781, 707, 28581, 5048, 286, 834, 1040, 22487, 263, 12296, 4297, 4297, 263, 273, 2608, 703, 9272, 3488, 1692, 2462, 568, 707, 3529, 286, 263, 292, 3052, 269, 476, 276, 264, 1412, 30727, 1948, 1100, 32142, 281, 292, 26341, 454, 0, 258, 21602, 547, 17967, 606, 3239, 454, 5814, 20956, 273, 454, 13548, 815, 20956, 273, 269, 574, 1348, 3488, 6352, 320, 27970, 5073, 19417, 267, 8700, 267, 9041, 815, 3239, 17482, 476, 1948, 9575, 4463, 543, 8700, 454, 22487, 815, 630, 12296, 12262, 476, 273, 267, 4463, 12262, 476, 273, 264, 476, 1948, 1265, 519, 4099, 454, 8527, 566, 24624, 815, 20956, 273, 10947, 305, 21320, 30467, 273, 291, 263, 22487, 267, 476, 1789, 267, 476, 272, 269, 271, 264, 476, 1948, 476, 1789, 5232, 454, 8527, 730, 318, 13548, 815, 20956, 273, 269, 8705, 335, 288, 742, 710, 263, 13548, 267, 10047, 24624, 267, 630, 12296, 267, 4463, 4917, 29764, 273, 269, 574, 19651, 2891, 15862, 29352, 476, 1789, 5232, 2580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1215, 1281, 476, 4281, 269, 6246, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 5620, 513, 1413, 912, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 454, 3086, 596, 666, 1294, 519, 1267, 540, 519, 7503, 540, 476, 4281, 269, 6246, 11304, 547, 6550, 269, 634, 2953, 1267, 568, 476, 15094, 269, 3445, 279, 4649, 273, 5400, 277, 277, 6550, 563, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 4281, 269, 6246, 11304, 568, 3160, 547, 6550, 609, 1776, 267, 4443, 1826, 540, 519, 4542, 269, 2913, 779, 1294, 563, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 454, 3383, 1631, 267, 476, 4281, 269, 6246, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 1267, 568, 476, 15094, 269, 3445, 279, 4649, 273, 5400, 277, 277, 7273, 563, 1692, 547, 6460, 476, 4281, 269, 6246, 4846, 547, 7273, 538, 1175, 513, 4090, 286, 898, 568, 2009, 547, 946, 519, 476, 4281, 269, 6246, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 519, 1964, 585, 596, 543, 596, 786, 1205, 606, 4977, 2626, 4586, 347, 4281, 269, 4905, 4846, 547, 7273, 10227, 14378, 269, 7176, 273, 8618, 2008, 347, 4281, 269, 6349, 4846, 547, 7273, 10227, 15094, 269, 21916, 5780, 2008, 347, 4281, 269, 6734, 4846, 547, 7273, 10227, 15094, 269, 271, 2918, 3583, 2008, 347, 4281, 269, 6860, 4846, 547, 7273, 10227, 15094, 269, 271, 4366, 4037, 2008, 347, 4281, 269, 4962, 4846, 547, 7273, 10227, 15094, 269, 271, 3583, 3199, 2008, 347, 4281, 269, 6187, 4846, 547, 7273, 10227, 15094, 269, 6021, 273, 10019, 2008, 347, 4281, 269, 5881, 4846, 547, 7273, 10227, 15094, 269, 14625, 8660, 2008, 347, 4281, 269, 5400, 4846, 547, 7273, 10227, 15094, 269, 15793, 11152, 2008, 347, 4281, 269, 6021, 4846, 547, 7273, 10227, 15094, 269, 15647, 7176, 2008, 347, 4281, 269, 272, 4846, 547, 7273, 10227, 15094, 269, 8687, 6734, 2008, 347, 4281, 269, 1556, 4846, 547, 7273, 10227, 15094, 269, 10711, 5881, 2008, 347, 4281, 269, 1321, 4846, 547, 7273, 10227, 15094, 269, 18597, 1321, 2008, 347, 4281, 269, 1724, 4846, 547, 7273, 10227, 15094, 269, 26316, 1704, 2008, 347, 4281, 269, 1691, 4846, 547, 7273, 10227, 15094, 269, 29483, 2641, 2008, 347, 4281, 269, 1428, 4846, 547, 7273, 10227, 15094, 269, 29720, 2918, 2008, 347, 4281, 269, 1626, 4846, 547, 7273, 10227, 15094, 269, 27123, 1789, 2008, 347, 4281, 269, 1704, 4846, 547, 7273, 10227, 15094, 269, 28178, 3374, 2008, 347, 4281, 269, 1240, 4846, 547, 7273, 10227, 15094, 269, 3374, 278, 2412, 2008, 347, 4281, 269, 866, 4846, 547, 7273, 10227, 15094, 269, 4391, 280, 4510, 2008, 347, 4281, 269, 273, 4846, 547, 7273, 10227, 15094, 269, 25002, 5392, 2008, 347, 4281, 269, 2641, 4846, 547, 7273, 10227, 15094, 269, 275, 2537, 7918, 2008, 347, 4281, 269, 2420, 4846, 547, 7273, 10227, 15094, 269, 275, 3393, 6812, 2008, 347, 4281, 269, 2537, 4846, 547, 7273, 10227, 15094, 269, 5379, 278, 8287, 2008, 347, 4281, 269, 2190, 4846, 547, 7273, 10227, 15094, 269, 4366, 280, 6858, 2008, 347, 4281, 269, 1839, 4846, 547, 7273, 10227, 15094, 269, 276, 1556, 7761, 2008, 347, 4281, 269, 2918, 4846, 547, 7273, 10227, 15094, 269, 276, 3451, 6507, 2008, 347, 4281, 269, 2767, 4846, 547, 7273, 10227, 15094, 269, 27898, 10037, 2008, 347, 4281, 269, 2764, 4846, 547, 7273, 10227, 15094, 269, 276, 6507, 10436, 2008, 347, 4281, 269, 3066, 4846, 547, 7273, 10227, 15094, 269, 276, 4200, 3445, 2008, 347, 4281, 269, 274, 4846, 547, 7273, 10227, 15094, 269, 277, 2641, 4817, 2008, 347, 4281, 269, 4029, 4846, 547, 7273, 10227, 15094, 269, 277, 4510, 876, 2008, 347, 4281, 269, 3953, 4846, 547, 7273, 10227, 15094, 269, 26116, 6860, 2008, 347, 4281, 269, 3451, 4846, 547, 7273, 10227, 15094, 269, 277, 6434, 6021, 2008, 347, 4281, 269, 4097, 4846, 547, 7273, 10227, 15094, 269, 278, 1015, 1691, 2008, 347, 4281, 269, 3374, 4846, 547, 7273, 10227, 15094, 269, 278, 3953, 1240, 2008, 347, 4281, 269, 3607, 4846, 547, 7273, 10227, 15094, 269, 4037, 275, 2537, 2008, 347, 4281, 269, 4391, 4846, 547, 7273, 10227, 15094, 269, 6507, 277, 2767, 2008, 347, 4281, 269, 4343, 4846, 547, 7273, 10227, 15094, 269, 278, 7176, 3953, 2008, 347, 4281, 269, 4375, 4846, 547, 7273, 10227, 15094, 269, 279, 736, 4391, 2008, 347, 4281, 269, 275, 4846, 547, 7273, 10227, 15094, 269, 279, 5655, 6078, 2008, 347, 4281, 269, 6078, 4846, 547, 7273, 10227, 15094, 269, 279, 5038, 5379, 2008, 347, 4281, 269, 5655, 4846, 547, 7273, 10227, 15094, 269, 6434, 277, 7906, 2008, 347, 4281, 269, 6246, 4846, 547, 7273, 10227, 15094, 269, 3445, 279, 4649, 2008, 347, 4281, 269, 4510, 4846, 547, 7273, 10227, 15094, 269, 280, 1789, 2568, 2008, 347, 4281, 269, 3393, 4846, 547, 7273, 10227, 15094, 269, 4817, 273, 5038, 2008, 347, 4281, 269, 5379, 4846, 547, 7273, 10227, 15094, 269, 9032, 275, 7597, 2008, 347, 4281, 269, 5325, 4846, 547, 7273, 10227, 15094, 269, 4200, 277, 10619, 2008, 347, 4281, 269, 4366, 4846, 547, 7273, 10227, 15876, 269, 26289, 4281, 2008, 347, 4281, 269, 5392, 4846, 547, 7273, 10227, 15876, 269, 31239, 10695, 2008, 347, 4281, 269, 276, 4846, 547, 7273, 10227, 15876, 269, 6187, 273, 6434, 2008, 347, 4281, 269, 7906, 4846, 547, 7273, 10227, 15876, 269, 5400, 275, 10844, 2008, 347, 4281, 269, 7367, 4846, 547, 7273, 10227, 15876, 269, 11793, 9032, 2008, 347, 4281, 269, 7871, 4846, 547, 7273, 10227, 15876, 269, 15782, 4905, 2008, 347, 4281, 269, 7918, 4846, 547, 7273, 10227, 15876, 269, 14681, 6187, 2008, 347, 4281, 269, 4649, 4846, 547, 7273, 10227, 15876, 269, 15876, 1556, 2008, 347, 4281, 269, 6321, 4846, 547, 7273, 10227, 15876, 269, 4198, 1428, 2008, 347, 4281, 269, 6872, 4846, 547, 7273, 10227, 15876, 269, 24241, 736, 2008, 347, 4281, 269, 6812, 4846, 547, 7273, 10227, 15876, 269, 26839, 1839, 2008, 347, 4281, 269, 6795, 4846, 547, 7273, 10227, 15876, 269, 28360, 3066, 2008, 347, 4281, 269, 277, 4846, 547, 7273, 10227, 15876, 269, 27543, 4097, 2008, 347, 4281, 269, 8618, 4846, 547, 7273, 10227, 15876, 269, 25134, 4343, 2008, 347, 4281, 269, 7830, 4846, 547, 7273, 10227, 15876, 269, 27628, 6246, 2008, 347, 4281, 269, 8287, 4846, 547, 7273, 10227, 15876, 269, 4097, 280, 4366, 2008, 347, 4281, 269, 5038, 4846, 547, 7273, 10227, 15876, 269, 4391, 272, 7367, 2008, 347, 4281, 269, 4792, 4846, 547, 7273, 10227, 15876, 269, 4375, 274, 6872, 2008, 347, 4281, 269, 5780, 4846, 547, 7273, 10227, 15876, 269, 25870, 7830, 2008, 347, 4281, 269, 6858, 4846, 547, 7273, 10227, 15876, 269, 275, 4391, 5780, 2008, 347, 4281, 269, 6924, 4846, 547, 7273, 10227, 15876, 269, 3393, 280, 10170, 2008, 347, 4281, 269, 7597, 4846, 547, 7273, 10227, 15876, 269, 4366, 272, 4037, 2008, 347, 4281, 269, 278, 4846, 547, 7273, 10227, 15876, 269, 2004, 274, 3199, 2008, 347, 4281, 269, 10170, 4846, 547, 7273, 10227, 15876, 269, 30589, 5952, 2008, 347, 4281, 269, 7761, 4846, 547, 7273, 10227, 15876, 269, 276, 5325, 8660, 2008, 347, 4281, 269, 10463, 4846, 547, 7273, 10227, 15876, 269, 6321, 280, 11463, 2008, 347, 4281, 269, 10619, 4846, 547, 7273, 10227, 15876, 269, 6795, 272, 4200, 2008, 347, 4281, 269, 4037, 4846, 547, 7273, 10227, 15876, 269, 277, 1691, 6734, 2008, 347, 4281, 269, 10602, 4846, 547, 7273, 10227, 15876, 269, 277, 3607, 5400, 2008, 347, 4281, 269, 6507, 4846, 547, 7273, 10227, 15876, 269, 4792, 279, 1321, 2008, 347, 4281, 269, 4281, 4846, 547, 7273, 10227, 15876, 269, 27151, 1704, 2008, 347, 4281, 269, 8064, 4846, 547, 7273, 10227, 15876, 269, 3583, 273, 2420, 2008, 347, 4281, 269, 279, 4846, 547, 7273, 10227, 15876, 269, 278, 2190, 2918, 2008, 347, 4281, 269, 10037, 4846, 547, 7273, 10227, 15876, 269, 278, 5379, 4029, 2008, 347, 4281, 269, 11025, 4846, 547, 7273, 10227, 15876, 269, 278, 6924, 3374, 2008, 347, 4281, 269, 10695, 4846, 547, 7273, 10227, 15876, 269, 278, 3445, 2412, 2008, 347, 4281, 269, 10019, 4846, 547, 7273, 10227, 15876, 269, 279, 1321, 3393, 2008, 347, 4281, 269, 5952, 4846, 547, 7273, 10227, 15876, 269, 279, 4097, 5392, 2008, 347, 4281, 269, 10436, 4846, 547, 7273, 10227, 15876, 269, 5952, 277, 7918, 2008, 347, 4281, 269, 9262, 4846, 547, 7273, 10227, 15876, 269, 279, 4281, 6795, 2008, 347, 4281, 269, 6434, 4846, 547, 7273, 10227, 15876, 269, 12010, 8287, 2008, 347, 4281, 269, 8660, 4846, 547, 7273, 10227, 15876, 269, 280, 2420, 6924, 2008, 347, 4281, 269, 280, 4846, 547, 7273, 10227, 15876, 269, 280, 4510, 7761, 2008, 347, 4281, 269, 11011, 4846, 547, 7273, 10227, 15876, 269, 280, 5780, 6507, 2008, 347, 4281, 269, 10844, 4846, 547, 7273, 10227, 15876, 269, 280, 6434, 11025, 2008, 347, 4281, 269, 11152, 4846, 547, 7273, 10227, 14690, 269, 18089, 10436, 2008, 347, 4281, 269, 11463, 4846, 547, 7273, 10227, 14690, 269, 271, 3953, 11011, 2008, 347, 4281, 269, 4817, 4846, 547, 7273, 10227, 14690, 269, 4962, 275, 9834, 2008, 347, 4281, 269, 9834, 4846, 547, 7273, 10227, 14690, 269, 5881, 278, 876, 2008, 347, 4281, 269, 9032, 4846, 547, 7273, 10227, 14690, 269, 271, 4200, 4962, 2008, 347, 4281, 269, 7176, 4846, 547, 7273, 10227, 14690, 269, 13199, 6021, 2008, 347, 4281, 269, 4200, 4846, 547, 7273, 10227, 14690, 269, 16960, 1691, 2008, 347, 8064, 4846, 547, 7273, 10227, 14690, 269, 13679, 866, 347, 0, 297, 752, 21840, 1107, 19836, 2562, 5398, 9534, 269, 634, 2698, 1858, 540, 22600, 549, 1407, 5001, 5170, 547, 7771, 269, 769, 930, 2127, 267, 519, 7771, 568, 30289, 547, 14226, 267, 2244, 21757, 267, 543, 5533, 540, 22600, 17311, 8134, 563, 763, 2817, 3194, 543, 16743, 10837, 630, 16576, 2562, 264, 998, 519, 17224, 517, 2246, 923, 543, 6611, 3194, 9257, 814, 2919, 513, 22600, 17311, 5464, 2203, 1210, 9804, 6552, 15392, 2029, 563, 4913, 267, 12868, 267, 799, 568, 4092, 693, 519, 20337, 267, 609, 1896, 1804, 10195, 543, 5215, 540, 1507, 10195, 602, 616, 4988, 676, 22600, 549, 1407, 267, 568, 1419, 4988, 676, 12269, 269, 901, 568, 519, 1966, 602, 1419, 14340, 950, 16326, 22600, 549, 1407, 563, 305, 520, 8811, 667, 1168, 21468, 267, 513, 11001, 538, 519, 2361, 540, 22647, 11576, 532, 5303, 267, 1767, 519, 13192, 6363, 872, 631, 6242, 545, 630, 300, 10621, 264, 2203, 568, 2808, 3608, 538, 519, 4393, 540, 9804, 6552, 15392, 1239, 267, 799, 8309, 547, 5352, 1239, 543, 1344, 547, 1489, 22600, 17311, 5464, 563, 1607, 2203, 950, 7471, 609, 519, 1646, 540, 519, 5767, 1523, 540, 5811, 27973, 4578, 630, 19181, 264, 786, 723, 811, 1713, 2597, 538, 519, 4393, 540, 9804, 6552, 15392, 1239, 585, 22600, 549, 1407, 269, 634, 4999, 540, 519, 631, 6242, 545, 570, 850, 9122, 630, 21587, 289, 264, 5690, 543, 519, 8121, 291, 2203, 568, 5219, 547, 32233, 2203, 563, 10527, 4681, 267, 538, 519, 1106, 540, 24211, 289, 5690, 267, 666, 4194, 519, 1966, 540, 6531, 3795, 538, 9804, 6552, 15392, 1239, 267, 2523, 585, 9381, 2127, 1472, 519, 20337, 1899, 799, 616, 1419, 4988, 676, 12269, 2223, 1767, 13158, 8811, 538, 1200, 4081, 610, 566, 585, 22305, 4851, 607, 3194, 7905, 267, 693, 19836, 2562, 8490, 267, 717, 520, 582, 4427, 549, 1729, 267, 32021, 21840, 267, 13628, 630, 1015, 270, 1015, 1040, 476, 6734, 1916, 4407, 519, 8121, 291, 1523, 2488, 4398, 547, 3755, 540, 6552, 15392, 1239, 538, 519, 2838, 840, 3491, 22422, 563, 2108, 292, 2310, 538, 713, 2796, 1797, 602, 621, 568, 5488, 543, 3096, 1447, 2200, 547, 1683, 1239, 267, 799, 666, 581, 1031, 585, 22600, 17311, 5464, 3379, 547, 6671, 4485, 2223, 6941, 713, 3993, 540, 476, 273, 1453, 563, 1103, 811, 1469, 267, 13158, 8811, 6045, 519, 2164, 540, 1646, 540, 476, 276, 3631, 547, 1683, 6552, 15392, 1239, 585, 22600, 17311, 5464, 563, 26329, 268, 272, 568, 519, 1646, 540, 32233, 585, 9804, 6552, 15392, 1239, 267, 2203, 268, 273, 585, 8159, 22600, 17311, 3795, 267, 2203, 268, 274, 585, 16326, 519, 4527, 267, 5860, 267, 543, 1990, 11238, 540, 22600, 549, 1407, 267, 2203, 268, 275, 585, 5464, 519, 2557, 540, 3441, 547, 22600, 17311, 2244, 267, 543, 7844, 268, 276, 585, 3246, 6552, 15392, 8121, 291, 563, 5804, 519, 476, 276, 2203, 7835, 267, 4797, 13158, 8811, 267, 946, 540, 32233, 585, 22600, 17311, 5464, 1759, 593, 3059, 9804, 6552, 15392, 1239, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 10789, 476, 272, 692, 7445, 2765, 346, 274, 2410, 343, 266, 272, 18098, 2765, 346, 272, 2410, 273, 4151, 3444, 9062, 1269, 274, 24585, 273, 284, 272, 3287, 266, 272, 7751, 14458, 1269, 277, 24210, 266, 272, 259, 10208, 476, 272, 689, 1312, 5011, 1269, 277, 268, 272, 24210, 266, 272, 268, 272, 259, 14458, 1269, 276, 24210, 259, 0, 258, 15043, 3776, 10406, 10341, 692, 275, 3610, 899, 713, 3992, 454, 19530, 7689, 692, 1012, 20638, 692, 14684, 289, 2969, 4194, 476, 275, 7857, 676, 835, 7857, 6498, 2042, 780, 2971, 8262, 22830, 692, 1607, 3992, 8039, 930, 1983, 827, 3818, 2364, 894, 6476, 1247, 10962, 476, 275, 7857, 676, 476, 272, 7857, 6498, 780, 1012, 24953, 5455, 281, 1548, 781, 3733, 14329, 281, 9454, 2718, 7982, 692, 1015, 3764, 692, 1432, 781, 3733, 14329, 286, 568, 513, 1390, 1259, 547, 2689, 1599, 7515, 543, 849, 7794, 21711, 269, 594, 899, 547, 3636, 909, 609, 1114, 21711, 960, 2094, 649, 991, 547, 581, 13533, 540, 16111, 5885, 18938, 676, 3303, 2718, 1394, 269, 594, 1185, 4988, 543, 12290, 1599, 7515, 513, 1279, 942, 3516, 269, 594, 4941, 547, 9594, 741, 3965, 1586, 23130, 781, 3733, 14329, 15873, 692, 296, 1305, 909, 513, 10145, 3349, 593, 1250, 590, 289, 543, 2219, 540, 513, 6498, 4341, 547, 946, 269, 594, 16668, 538, 519, 2338, 543, 5143, 1250, 1053, 547, 1589, 540, 513, 4341, 602, 3514, 269, 901, 2370, 3014, 568, 513, 1390, 1259, 540, 3478, 1053, 547, 2259, 13215, 3044, 476, 275, 20166, 288, 5861, 269, 276, 676, 2348, 873, 5352, 519, 4341, 543, 2333, 741, 21711, 269, 1109, 4841, 3576, 7140, 23115, 856, 3652, 543, 2870, 519, 5750, 269, 1358, 1031, 519, 2539, 5750, 585, 8897, 23130, 781, 3733, 14329, 1862, 30700, 692, 265, 296, 1305, 909, 7515, 2469, 1312, 19794, 543, 23276, 865, 1053, 1174, 602, 519, 4287, 540, 519, 3349, 3085, 1405, 2339, 780, 1432, 781, 3733, 14329, 6892, 2982, 519, 5750, 607, 649, 12193, 621, 538, 835, 540, 938, 7886, 780, 1012, 5450, 1258, 727, 1187, 281, 5623, 532, 3368, 607, 1454, 610, 7466, 607, 1082, 780, 1015, 3764, 692, 21010, 532, 8535, 547, 13760, 519, 10417, 540, 3368, 610, 7466, 281, 3733, 1053, 723, 1044, 1603, 2575, 547, 1404, 609, 741, 2594, 619, 269, 594, 3893, 547, 3206, 827, 18938, 476, 275, 20166, 288, 6993, 269, 273, 543, 875, 741, 2487, 1995, 538, 2575, 1362, 1603, 3368, 267, 21632, 543, 10116, 4967, 13352, 713, 3044, 269, 1109, 594, 2219, 827, 875, 1187, 621, 1522, 581, 547, 1404, 609, 513, 1558, 1258, 727, 1109, 585, 513, 1906, 3764, 543, 2285, 1053, 513, 4960, 547, 1353, 1109, 2979, 1893, 5473, 3818, 2364, 894, 6476, 281, 3368, 607, 3728, 267, 7466, 607, 3728, 267, 7466, 607, 3500, 267, 3368, 607, 3500, 269, 594, 993, 15691, 713, 28241, 2534, 786, 11578, 609, 741, 2634, 538, 1776, 1259, 547, 13498, 1018, 3368, 1109, 543, 7466, 2731, 5654, 899, 269, 16828, 267, 594, 1616, 873, 547, 1397, 803, 952, 789, 6956, 519, 2495, 540, 519, 1913, 543, 1287, 4019, 621, 547, 606, 3830, 269, 594, 729, 3206, 602, 621, 1131, 581, 513, 1390, 1259, 547, 1205, 1250, 2539, 1053, 609, 1893, 7965, 593, 3950, 609, 6616, 602, 7466, 607, 1454, 5921, 547, 9062, 543, 3368, 607, 1454, 5921, 789, 1131, 7941, 269, 594, 4941, 873, 547, 3605, 1586, 1018, 519, 23483, 540, 2898, 2338, 1611, 269, 901, 1131, 3914, 2407, 17117, 540, 519, 3044, 607, 621, 14509, 780, 296, 5206, 593, 519, 3043, 4604, 281, 3828, 823, 607, 1454, 610, 21009, 607, 13518, 286, 1548, 781, 519, 3017, 286, 594, 16668, 513, 3368, 4063, 267, 10116, 4063, 543, 21632, 4063, 593, 519, 4604, 269, 1358, 6785, 4010, 875, 1454, 519, 4967, 941, 4502, 267, 630, 513, 5491, 547, 741, 2575, 4116, 264, 2073, 855, 1223, 711, 9305, 621, 547, 519, 6310, 1871, 780, 296, 3323, 519, 2228, 1558, 1258, 727, 909, 693, 476, 2568, 20054, 829, 8792, 267, 799, 568, 7168, 3500, 269, 594, 4280, 1053, 547, 7148, 602, 10726, 269, 594, 1287, 5143, 873, 547, 7148, 519, 10726, 7466, 607, 3728, 269, 3973, 267, 594, 4280, 873, 547, 7148, 519, 10726, 1109, 593, 519, 10726, 1586, 269, 594, 4280, 873, 547, 7148, 621, 3368, 607, 3728, 269, 898, 729, 2182, 267, 649, 1185, 547, 6432, 5402, 543, 2259, 621, 13034, 2788, 607, 1454, 1797, 547, 7941, 3267, 585, 1631, 2439, 2171, 5129, 609, 519, 1558, 1258, 727, 513, 2370, 811, 267, 4657, 909, 519, 10726, 543, 3432, 532, 621, 909, 11053, 342, 823, 607, 16258, 1862, 312, 320, 20707, 594, 2731, 1185, 547, 3391, 1053, 547, 1589, 267, 6952, 909, 610, 3500, 1524, 269, 1411, 666, 1294, 621, 538, 891, 1079, 2370, 4670, 24056, 780, 1012, 10076, 4569, 281, 29435, 532, 9050, 6226, 1080, 676, 2290, 543, 1210, 1018, 649, 2907, 917, 780, 276, 3764, 692, 5475, 938, 1558, 1258, 727, 2259, 267, 594, 12649, 602, 476, 272, 270, 273, 568, 513, 1770, 6824, 543, 602, 649, 7941, 676, 519, 23483, 540, 513, 1770, 6824, 538, 1931, 547, 1265, 856, 1018, 6712, 540, 519, 2898, 1297, 568, 2451, 269, 594, 3533, 5206, 476, 272, 270, 273, 540, 476, 1001, 275, 593, 519, 4604, 269, 594, 4280, 873, 875, 594, 1131, 4137, 856, 3368, 540, 519, 1032, 476, 1001, 275, 269, 594, 13603, 713, 1297, 1317, 621, 568, 519, 1007, 1032, 543, 568, 513, 1434, 1291, 538, 547, 2324, 593, 476, 275, 7857, 676, 476, 272, 7857, 6498, 780, 25898, 621, 581, 16883, 286, 2290, 2875, 3274, 1767, 602, 621, 5921, 602, 649, 1058, 7941, 676, 476, 273, 269, 594, 4280, 873, 952, 649, 1223, 798, 621, 538, 938, 9843, 286, 1358, 15422, 602, 16883, 5921, 602, 519, 1297, 1131, 979, 883, 519, 1297, 14961, 269, 1284, 723, 1031, 621, 538, 1565, 3815, 8424, 780, 296, 4280, 873, 952, 789, 1223, 7941, 476, 1001, 275, 676, 476, 273, 538, 741, 2212, 286, 1358, 15527, 609, 930, 17600, 269, 18320, 2182, 256, 594, 1071, 3737, 873, 593, 1317, 594, 729, 15691, 602, 6061, 713, 538, 741, 2212, 1131, 24390, 1022, 4250, 540, 1565, 547, 7941, 538, 519, 5215, 1747, 593, 1957, 780, 296, 3459, 676, 6998, 281, 1548, 568, 3368, 540, 476, 1220, 271, 286, 594, 1287, 4280, 281, 1548, 568, 3368, 540, 476, 1691, 286, 594, 3893, 519, 1318, 2626, 689, 827, 3670, 540, 873, 693, 2899, 780, 2171, 941, 4712, 547, 2119, 476, 275, 7857, 676, 835, 7857, 593, 1957, 780, 1012, 476, 275, 32693, 676, 476, 272, 32693, 10406, 281, 4635, 1018, 649, 917, 547, 4228, 938, 1983, 780, 1428, 3764, 692, 296, 4547, 909, 513, 10145, 590, 289, 2985, 543, 5206, 513, 476, 275, 7857, 676, 476, 272, 7857, 6498, 1966, 269, 594, 4280, 1053, 547, 5299, 621, 1524, 538, 741, 21641, 269, 594, 1572, 593, 835, 2875, 543, 4280, 1200, 547, 2253, 519, 6498, 609, 606, 7127, 1448, 602, 1352, 729, 6899, 609, 543, 519, 1187, 3459, 269, 1358, 1071, 3737, 803, 998, 519, 2898, 1966, 269, 594, 7948, 1405, 3494, 875, 3533, 789, 3893, 621, 269, 594, 6854, 10992, 609, 1614, 1053, 945, 2731, 6560, 609, 6498, 547, 948, 1489, 873, 269, 1109, 19147, 476, 275, 32693, 676, 476, 272, 32693, 692, 296, 3576, 519, 4316, 547, 723, 873, 798, 519, 1966, 1586, 543, 5143, 873, 789, 7948, 1405, 4584, 476, 1911, 271, 269, 634, 3817, 1397, 602, 789, 13603, 476, 4968, 543, 4797, 547, 4584, 476, 4968, 2394, 621, 9327, 1405, 960, 15042, 269, 2290, 2875, 6659, 1010, 1688, 543, 8359, 476, 277, 585, 519, 2063, 23479, 267, 6721, 476, 1240, 269, 4841, 29860, 693, 519, 4960, 547, 2491, 1946, 602, 9327, 1405, 960, 269, 1284, 14437, 827, 1946, 649, 9327, 1405, 1616, 513, 2942, 1297, 538, 513, 6498, 1966, 14230, 269, 2171, 22621, 621, 547, 476, 275, 543, 3773, 519, 9864, 9889, 1801, 21945, 693, 519, 1482, 23479, 607, 519, 1101, 1966, 269, 1306, 713, 729, 1373, 6026, 267, 789, 941, 2921, 4967, 538, 741, 2979, 21641, 547, 581, 1031, 607, 741, 4704, 1907, 2663, 780, 2171, 5941, 519, 2495, 540, 1114, 4358, 2798, 543, 1946, 649, 1223, 1376, 609, 1114, 2338, 269, 594, 556, 3438, 730, 602, 789, 2877, 547, 1265, 2338, 789, 941, 6899, 609, 269, 594, 5143, 873, 602, 789, 1223, 946, 602, 23479, 936, 543, 936, 2394, 621, 9327, 1405, 960, 267, 899, 649, 1705, 538, 519, 2034, 1966, 269, 1306, 1279, 607, 789, 941, 14921, 543, 18946, 7157, 267, 789, 5555, 1131, 1265, 519, 23479, 780, 2005, 729, 1434, 6643, 827, 2338, 543, 512, 11474, 883, 741, 1991, 1702, 547, 2285, 873, 811, 6015, 538, 6061, 3677, 7857, 2338, 780, 763, 6780, 1131, 581, 811, 2259, 538, 4543, 547, 1205, 6251, 547, 13215, 476, 275, 12991, 6630, 11065, 269, 277, 15660, 14437, 1586, 827, 875, 621, 568, 711, 513, 575, 9404, 1157, 1256, 1498, 621, 568, 711, 519, 1259, 741, 3237, 4121, 547, 7941, 269, 898, 7028, 1620, 540, 1747, 1871, 543, 23454, 269, 594, 18674, 519, 4356, 540, 1210, 741, 4967, 269, 6153, 4967, 941, 1898, 538, 741, 2702, 547, 798, 741, 6780, 269, 594, 887, 1386, 543, 13761, 31940, 1354, 1688, 532, 856, 1753, 578, 1251, 780, 1012, 26943, 2381, 908, 6657, 692, 1015, 3764, 692, 25648, 2364, 894, 18948, 12143, 476, 274, 780, 1607, 7084, 10905, 3818, 2364, 894, 6476, 2262, 2042, 609, 6266, 540, 6824, 1913, 543, 476, 275, 7857, 676, 835, 7857, 6620, 269, 594, 1705, 711, 16174, 713, 3992, 1317, 1250, 840, 910, 11687, 4951, 602, 1100, 835, 2731, 6785, 875, 547, 7941, 269, 2171, 1224, 519, 2262, 2042, 16965, 547, 8897, 519, 4160, 827, 1373, 5185, 609, 811, 2262, 2042, 269, 1284, 5941, 1142, 835, 547, 6430, 952, 649, 1131, 9062, 610, 7941, 780, 5475, 649, 4682, 936, 519, 7084, 267, 594, 4847, 873, 547, 1205, 513, 1434, 1376, 593, 741, 6780, 609, 942, 547, 2307, 2055, 543, 2307, 585, 948, 269, 0, 1428, 267, 278, 6078, 267, 7597, 273, 2818, 454, 8450, 811, 912, 17098, 2828, 2807, 1862, 780, 933, 666, 1265, 771, 766, 585, 1079, 476, 274, 291, 10321, 689, 713, 4542, 563, 290, 16482, 3499, 309, 10725, 274, 325, 579, 815, 1007, 21070, 274, 325, 11583, 267, 312, 267, 313, 11850, 309, 10725, 274, 325, 642, 815, 1007, 21070, 274, 325, 11583, 267, 312, 267, 313, 32007, 20657, 2711, 476, 513, 815, 630, 340, 269, 311, 910, 642, 269, 311, 994, 20657, 2711, 476, 536, 815, 630, 340, 28629, 910, 642, 28629, 994, 20657, 2711, 476, 524, 815, 630, 340, 269, 313, 910, 642, 269, 313, 2020, 20657, 2711, 3845, 284, 4569, 2529, 13645, 10174, 5416, 2608, 513, 1341, 536, 2608, 536, 1341, 524, 2608, 524, 5148, 7884, 328, 723, 835, 476, 274, 291, 6152, 543, 3845, 563, 328, 991, 519, 824, 476, 274, 291, 6152, 19601, 8923, 16253, 803, 519, 6508, 4542, 547, 5173, 519, 824, 476, 274, 291, 6152, 563, 14188, 1411, 14886, 27401, 19601, 16829, 454, 24993, 476, 274, 11219, 684, 268, 1724, 476, 275, 281, 6078, 600, 454, 341, 274, 454, 292, 12171, 269, 715, 6359, 2692, 518, 476, 274, 11219, 684, 268, 1724, 476, 1015, 281, 6246, 600, 454, 2791, 3112, 17589, 513, 2582, 6152, 689, 1175, 513, 6152, 543, 3845, 563, 306, 10235, 344, 22354, 22201, 747, 918, 787, 4157, 990, 476, 274, 11219, 684, 268, 1724, 476, 1556, 281, 4962, 600, 454, 14738, 267, 519, 2243, 2306, 1100, 2631, 693, 782, 269, 634, 3254, 4542, 568, 2953, 267, 855, 519, 2243, 9727, 519, 3668, 540, 1620, 1018, 513, 6152, 568, 780, 1607, 568, 10026, 630, 6202, 267, 3592, 264, 6128, 267, 930, 2361, 540, 6128, 799, 568, 32563, 547, 5752, 540, 971, 2042, 269, 1809, 713, 568, 519, 3301, 8468, 269, 1924, 267, 519, 2243, 568, 267, 18005, 267, 1055, 2389, 8084, 269, 634, 22679, 790, 337, 2115, 547, 4487, 519, 32563, 3584, 1101, 267, 1287, 2307, 2055, 13718, 1765, 6347, 692, 1012, 8827, 476, 272, 692, 763, 10974, 540, 519, 1412, 1278, 6152, 262, 616, 692, 290, 10030, 454, 3499, 343, 263, 9064, 267, 943, 328, 264, 815, 2473, 271, 1341, 667, 2608, 5609, 263, 9064, 264, 2608, 5430, 263, 12978, 994, 344, 263, 9064, 267, 943, 328, 264, 815, 962, 271, 1341, 667, 2608, 5609, 263, 9064, 264, 2608, 5609, 263, 12978, 994, 345, 263, 9064, 267, 943, 328, 264, 815, 2098, 271, 1341, 667, 2608, 5430 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 921, 815, 18011, 298, 30865, 5622, 3299, 1412, 8867, 16985, 3299, 1412, 300, 5366, 3299, 1412, 303, 6897, 19594, 3299, 1412, 7692, 13906, 20298, 338, 663, 773, 2998, 318, 345, 5622, 4671, 340, 921, 815, 18011, 298, 30865, 5622, 3299, 1412, 299, 542, 3299, 1412, 294, 686, 3960, 569, 19594, 3299, 1412, 27288, 13906, 3299, 1412, 12901, 601, 2100, 262, 10142, 2745, 2891, 307, 308, 12195, 2464, 29389, 3418, 2745, 3488, 2419, 8522, 25089, 281, 3299, 577, 8522, 318, 345, 5622, 4671, 340, 921, 3418, 2745, 3488, 26596, 17630, 25089, 281, 3299, 338, 663, 773, 2998, 318, 345, 5622, 4671, 340, 921, 3418, 2745, 31476, 19399, 19399, 10310, 30607, 1477, 258, 2791, 666, 1412, 684, 17569, 262, 513, 24042, 267, 855, 596, 666, 1405, 1689, 621, 256, 1477, 19399, 19399, 10310, 30607, 1477, 320, 272, 267, 513, 273, 267, 513, 274, 267, 513, 275, 267, 513, 276, 815, 669, 8522, 318, 345, 5622, 4671, 340, 921, 5897, 2745, 2891, 26183, 19170, 693, 519, 9628, 25089, 29389, 3418, 2745, 2891, 27154, 476, 272, 24333, 320, 272, 3418, 2745, 2891, 2304, 9874, 272, 476, 273, 24333, 320, 273, 3418, 2745, 2891, 2304, 9874, 272, 476, 274, 24333, 320, 274, 3418, 2745, 2891, 2304, 9874, 272, 476, 275, 24333, 320, 275, 3418, 2745, 2891, 2304, 9874, 272, 476, 275, 24333, 320, 276, 10142, 2745, 14052, 2745, 3488, 2419, 8522, 25089, 16515, 921, 20099, 281, 22207, 6352, 263, 577, 8522, 318, 345, 5622, 4671, 340, 921, 264, 10142, 19399, 19399, 10310, 30607, 1477, 258, 27237, 292, 602, 596, 3112, 1039, 3688, 547, 513, 24042, 1477, 258, 27237, 292, 602, 596, 786, 1205, 606, 5470, 952, 596, 9296, 618, 519, 2630, 1899, 1477, 19399, 19399, 10310, 30607, 1477, 258, 577, 8522, 318, 345, 5622, 4671, 340, 921, 14491, 3488, 303, 21315, 10807, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 5897, 258, 763, 808, 302, 2562, 1505, 593, 513, 1592, 1862, 18474, 1149, 519, 2609, 540, 519, 1592, 1477, 4289, 272, 815, 9131, 313, 313, 3299, 1412, 312, 312, 3299, 1412, 18958, 3299, 1412, 310, 310, 3299, 1412, 309, 309, 11172, 1477, 2745, 2891, 4289, 272, 281, 14307, 1592, 272, 10142, 258, 5522, 2167, 513, 26893, 1063, 519, 1592, 3688, 1477, 572, 335, 23952, 815, 834, 2437, 1477, 338, 272, 815, 694, 335, 23952, 12459, 7765, 17338, 272, 3418, 2745, 2891, 338, 272, 24333, 521, 272, 10142, 258, 303, 548, 864, 513, 26893, 543, 513, 10943, 322, 2801, 267, 1063, 519, 1592, 3688, 1477, 572, 335, 23952, 815, 834, 2073, 29177, 338, 273, 815, 694, 335, 23952, 12459, 7765, 17338, 272, 3418, 2745, 2891, 338, 273, 24333, 521, 273, 10142, 258, 20278, 513, 21686, 1063, 519, 1592, 3688, 1477, 572, 335, 23952, 815, 29038, 29177, 338, 274, 815, 694, 335, 23952, 12459, 7765, 17338, 272, 3418, 2745, 2891, 338, 274, 24333, 521, 274, 3418, 5897, 5897, 5897, 5897, 5897, 5897, 5897, 24653, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 3014, 18258, 910, 2241, 3014, 547, 6542, 5049, 543, 3615, 454, 5814, 4351, 692, 6224, 305, 318, 303, 6369, 312, 2207, 815, 834, 306, 4840, 6224, 305, 318, 2894, 4932, 312, 815, 834, 289, 4840, 6224, 305, 318, 310, 22003, 19181, 815, 834, 310, 4840, 6224, 305, 318, 24086, 2207, 815, 834, 288, 4840, 6224, 305, 318, 14701, 4696, 815, 834, 311, 5016, 5035, 21073, 21574, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1915, 815, 7183, 2187, 1038, 1582, 269, 30726, 815, 1915, 454, 1038, 1582, 269, 916, 326, 815, 1412, 7055, 8931, 825, 1219, 1305, 318, 30726, 4311, 267, 1915, 2187, 1038, 1582, 269, 30726, 815, 1915, 454, 1038, 1582, 15630, 14067, 9850, 4590, 1038, 1582, 20481, 4590, 13872, 825, 1219, 1305, 14067, 9850, 4311, 267, 20444, 326, 815, 15234, 2187, 1038, 1582, 269, 916, 326, 815, 630, 916, 326, 267, 1412, 15311, 8339, 21860, 9230, 1345, 269, 916, 326, 267, 20444, 326, 4297, 25011, 6352, 4311, 269, 916, 326, 264, 3436, 476, 271, 2639, 1038, 4567, 815, 834, 27426, 281, 4939, 328, 270, 260, 328, 257, 4939, 630, 1345, 269, 30726, 19544, 335, 267, 1582, 269, 30726, 27982, 20189, 335, 994, 1038, 20444, 7714, 815, 1582, 269, 916, 326, 21858, 3488, 15311, 5073, 13872, 1038, 1582, 269, 1467, 272, 815, 834, 260, 338, 1341, 4939, 338, 257, 4939, 630, 560, 9850, 267, 20444, 7714, 314, 271, 7481, 1038, 952, 7003, 263, 916, 7714, 264, 3436, 476, 272, 912, 2018, 1582, 269, 1467, 273, 815, 834, 260, 338, 1341, 4939, 338, 257, 4939, 18011, 1412, 2608, 7003, 263, 560, 9850, 1070, 20444, 7714, 314, 272, 7481, 1038, 3116, 912, 2018, 1582, 269, 1467, 273, 815, 834, 260, 338, 1341, 4939, 338, 257, 4939, 18011, 1412, 2608, 7003, 263, 560, 9850, 1070, 1412, 1412, 2608, 7003, 263, 916, 7714, 314, 271, 8079, 2020, 825, 1219, 3898, 318, 1467, 4311, 267, 512, 868, 267, 8700, 2187, 1038, 1899, 815, 834, 266, 4939, 338, 257, 4939, 512, 868, 454, 1038, 1899, 6834, 834, 834, 2608, 630, 12296, 910, 630, 6352, 263, 1467, 30727, 1341, 834, 1341, 4840, 1038, 2132, 1899, 692, 825, 1219, 1397, 4311, 2187, 1038, 1582, 15630, 14067, 9850, 4590, 1038, 1820, 834, 266, 257, 2608, 630, 16447, 9884, 5954, 1341, 476, 273, 994, 1038, 1820, 1582, 269, 8971, 318, 1467, 4311, 269, 1467, 272, 267, 1158, 9884, 5954, 994, 1038, 1820, 1582, 269, 8971, 318, 1467, 4311, 269, 1467, 273, 267, 1158, 9884, 5954, 994, 1038, 1582, 269, 916, 326, 815, 15234, 692, 560, 9850, 8663, 815, 21073, 21574, 10797, 5035, 2622, 24961, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 267, 4463, 2187, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 6230, 777, 815, 20886, 14085, 585, 586, 538, 2039, 4311, 269, 19417, 13580, 585, 1535, 538, 2039, 4311, 9884, 5954, 264, 6540, 825, 1219, 568, 318, 31039, 4311, 267, 1535, 267, 586, 2187, 1038, 15981, 4258, 4242, 952, 513, 2016, 2230, 593, 519, 4786, 543, 7024, 6936, 952, 13026, 269, 23288, 1038, 2132, 1582, 6230, 777, 20572, 6012, 344, 316, 568, 711, 7183, 692, 825, 1219, 1820, 8548, 777, 4311, 2187, 1038, 1820, 25962, 2608, 630, 1345, 9884, 5954, 1341, 476, 273, 994, 1038, 585, 586, 538, 2039, 4311, 269, 19417, 910, 476, 272, 267, 476, 271, 267, 910, 272, 2187, 2018, 1899, 815, 1412, 266, 7055, 2018, 585, 1535, 538, 2039, 4311, 9884, 5954, 2187, 3546, 1591, 815, 1582, 6230, 777, 20572, 6012, 344, 2639, 3546, 952, 1591, 568, 7183, 912, 7386, 1899, 6834, 1412, 1412, 454, 3546, 3116, 912, 7386, 1899, 6834, 1591, 269, 13548, 454, 2018, 1820, 1899, 1341, 1412, 266, 7055, 1038, 1820, 25962, 2608, 630, 1345, 9884, 5954, 1341, 476, 273, 2020, 16447, 815, 2622, 24961, 263, 2568, 267, 476, 2420, 2020, 258, 16447, 815, 20886, 14085, 585, 1535, 538, 2039, 263, 1911, 13580, 585, 586, 538, 2039, 263, 1911, 264, 6540, 5035, 9980, 640, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 3239, 2187, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 1038, 1158, 6230, 777, 20572, 6012, 344, 316, 815, 1582, 454, 1038, 1582, 269, 13548, 815, 3239, 22562, 825, 1219, 19582, 4311, 267, 1535, 267, 586, 2187, 1038, 1158, 6230, 777, 20572, 6012, 344, 316, 815, 1582, 692, 825, 1219, 4894, 4311, 2187, 1038, 1158, 6230, 777, 314, 1345, 11859, 6012, 1345, 13885, 316, 815, 7183, 692, 825, 1219, 3845, 4311, 267, 824, 2187, 1038, 2132, 2612, 263, 1278, 11859, 910, 1582, 11859, 1070, 2612, 263, 1278, 13885, 910, 1582, 13885, 2020, 5035, 10886, 263, 22209, 640, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 3239, 267, 554, 335, 267, 3441, 815, 476, 1015, 2187, 1038, 9980, 640, 14857, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 3239, 994, 1038, 1582, 19544, 335, 267, 1582, 27982, 20189, 335, 815, 554, 335, 267, 554, 335, 454, 1038, 1582, 6155, 600, 720, 815, 3441, 454, 1038, 1582, 29096, 815, 29129, 825, 1219, 9041, 323, 3925, 15461, 5091, 343, 11276, 4311, 267, 4287, 2187, 1038, 5727, 3519, 3200, 513, 5569, 8204, 3350, 4287, 883, 513, 24042, 454, 1038, 630, 11459, 267, 10085, 1070, 1141, 1412, 11459, 262, 568, 519, 2450, 540, 1900, 538, 519, 1412, 343, 262, 4287, 543, 454, 1038, 1412, 11276, 262, 568, 519, 2450, 540, 1900, 538, 519, 1412, 344, 262, 4287, 27969, 454, 1038, 15848, 267, 10085, 815, 476, 271, 267, 476, 271, 454, 1038, 952, 4287, 2652, 1412, 3847, 12466, 2018, 15848, 815, 910, 272, 454, 1038, 8640, 4287, 2652, 1412, 2431, 12466, 2018, 15848, 815, 476, 272, 454, 1038, 8640, 4287, 2652, 1412, 1575, 12466, 2018, 10085, 815, 476, 272, 454, 1038, 8640, 4287, 2652, 1412, 6658, 12466, 2018, 10085, 815, 910, 272, 454, 1038, 2132, 15848, 267, 10085, 692, 825, 1219, 1007, 29223, 4311, 267, 4287, 2187, 1038, 23288, 2018, 6726, 919, 513, 1007, 2990, 2016, 513, 4287, 269, 570, 1389, 607, 3403, 513, 3097, 2018, 4287, 1412, 3847, 3299, 1412, 2431, 3299, 1412, 1575, 262, 610, 1412, 6658, 8339, 14190, 338, 28277, 540, 519, 3097, 2018, 1158, 4786, 630, 1122, 269, 3001, 2451, 689, 1535, 815, 476, 271, 7575, 596, 547, 1535, 815, 910, 272, 994, 1038, 23288, 1038, 15848, 267, 10085, 815, 1582, 11519, 323, 3925, 15461, 5091, 343, 11276, 5560, 3925, 994, 1038, 1007, 13448, 815, 630, 1345, 11859, 1341, 15848, 264, 4939, 1158, 9884, 5954, 454, 1038, 1007, 14729, 815, 630, 1345, 13885, 1341, 10085, 264, 4939, 1158, 269, 19417, 454, 1038, 2132, 1007, 13448, 267, 1007, 14729, 692, 825, 1219, 1847, 4311, 267, 4287, 2187, 1038, 8173, 2018, 631, 7174, 519, 1915, 547, 519, 1007, 2990, 563, 1038, 8173, 1038, 1007, 13448, 267, 1007, 14729, 815, 1582, 269, 2908, 29223, 5560, 3925, 994, 1038, 952, 1158, 18994, 318, 31039, 28956, 13448, 267, 1007, 14729, 2187, 2018, 4567, 8663, 15630, 14067, 9850, 3488, 303, 3789, 568, 13026, 267, 2119, 1776, 1847, 269, 5073, 1038, 3116, 912, 2018, 1582, 31927, 4590, 2018, 1582, 11859, 267, 1582, 13885, 815, 1007, 13448, 267, 1007, 14729, 454, 2018, 1582, 269, 21232, 344, 4311, 11859, 267, 1582, 13885, 2020, 825, 1219, 4323, 4311, 267, 10546, 2187, 1038, 1253, 815, 1582, 6155, 2700, 263, 523, 5519, 994, 1038, 952, 1253, 2652, 630, 271, 267, 476, 272, 264, 610, 1253, 2652, 630, 272, 267, 476, 271, 2187, 2018, 952, 711, 10546, 19544, 335, 912, 3546, 20444, 7714, 815, 1496, 454, 7386, 834, 1607, 1560, 3085, 1405, 1413, 8949, 693, 782, 1701, 2676, 7386, 834, 2791, 2731, 1616, 803, 547, 798, 713, 286, 20350, 7386, 834, 31800, 1695, 267, 8726, 256, 20350, 7386, 834, 296, 7166, 621, 256, 1548, 1705, 596, 1118, 803, 798, 30882, 7386, 23378, 3546, 4567, 8663, 15630, 14067, 9850, 263, 12690, 26716, 4069, 263, 916, 7714, 4917, 2018, 3116, 912, 3546, 1948, 25792, 3441, 568, 4470, 593, 2168, 2783, 454, 3546, 10782, 815, 703, 9230, 1345, 26769, 1288, 3890, 2608, 476, 271, 269, 4905, 264, 2878, 630, 272, 270, 273, 4700, 2608, 1582, 6155, 600, 720, 1341, 476, 271, 269, 276, 994, 3546, 1655, 815, 703, 9230, 1345, 26769, 1288, 3890, 2608, 476, 271, 269, 4905, 264, 2878, 630, 272, 270, 275, 4700, 2608, 1582, 6155, 600, 720, 1341, 476, 271, 269, 276, 994, 3546, 3441, 815, 630, 342, 528, 560, 2652, 1655, 264, 543, 1655, 610, 4351, 20120, 9792, 26028, 528, 560, 267, 1655, 994, 4449, 454, 3546, 1948, 25792, 3441, 568, 849, 4470, 593, 6727, 19076, 13824, 454, 3546, 1948, 678, 16640, 543, 17935, 6111, 610, 693, 2547, 18173, 1166, 2355, 454, 3546, 3441, 815, 4351, 20120, 9792, 18692, 7386, 630, 17043, 720, 268, 272, 267, 476, 271, 25011, 2254, 3441, 16689, 7386, 630, 17043, 720, 266, 272, 267, 1582, 6155, 600, 720, 25011, 17043, 720, 2652, 1582, 6155, 600, 720, 7481, 3546, 10546, 19544, 1301, 5560, 600, 720, 994, 4449, 454, 3546, 952, 10546, 269, 13548, 2652, 8863, 305, 318, 303, 6369, 312, 2207, 912, 7386, 4567, 8663, 15630, 14067, 9850, 2891, 2791, 616, 1373, 16091, 281, 4939, 328, 3441, 1701, 4939, 3441, 994, 3546, 8640, 1582, 269, 13548, 2652, 8863, 305, 318, 303, 6369, 312, 2207, 912, 7386, 952, 10546, 269, 13548, 2652, 8863, 305, 318, 14701, 4696, 912, 13376, 4567, 8663, 15630, 14067, 9850, 2891, 2791, 1118, 4939, 328, 3441, 281, 707, 10546, 568, 4666, 1701, 4939, 3441, 994, 7386, 3116, 912, 13376, 4567, 8663, 15630, 14067, 9850 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25545, 7187, 5032, 338, 269, 15661, 538, 519, 12593, 666, 2039, 538, 7226, 689, 22501, 267, 3819, 2127, 547, 18519, 6531, 7733, 563, 295, 334, 1156, 6199, 807, 616, 4190, 15496, 28538, 7942, 6758, 609, 1360, 10694, 16714, 269, 1358, 666, 1332, 3833, 1804, 543, 3335, 723, 3376, 588, 1905, 899, 3762, 602, 616, 13888, 543, 16463, 344, 269, 2368, 14208, 1156, 6199, 807, 2611, 20005, 267, 1247, 1866, 723, 3762, 602, 6367, 856, 693, 519, 7475, 269, 634, 3762, 1419, 2097, 1927, 547, 1106, 513, 9395, 887, 3553, 974, 3337, 269, 14208, 1156, 6199, 807, 2356, 3132, 7381, 8768, 21782, 269, 4256, 8768, 21782, 568, 1018, 30193, 873, 689, 741, 2673, 14077, 538, 519, 21926, 1889, 320, 12593, 269, 21926, 1889, 553, 3132, 513, 7381, 8768, 21782, 602, 568, 711, 4839, 3481, 1247, 519, 4870, 2803, 12412, 540, 519, 14208, 1156, 6199, 807, 568, 1419, 4839, 3481, 609, 1507, 13421, 540, 5810, 563, 295, 334, 1156, 6199, 807, 666, 581, 3134, 760, 1506, 6776, 2371, 267, 2495, 789, 1332, 7923, 547, 513, 14041, 2864, 982, 12630, 538, 519, 2666, 269, 634, 887, 3553, 974, 3337, 540, 519, 3762, 1106, 513, 1804, 3844, 7382, 602, 25173, 24467, 543, 824, 5567, 602, 2887, 689, 519, 24588, 269, 7981, 10253, 593, 519, 3762, 1491, 538, 519, 1216, 543, 519, 5567, 267, 1247, 519, 5072, 957, 607, 12979, 832, 269, 4014, 14208, 1156, 6199, 807, 616, 1419, 1336, 607, 3134, 760, 1506, 5052, 538, 2470, 267, 789, 666, 849, 581, 12630, 1768, 516, 1598, 6053, 269, 1703, 616, 849, 14208, 1156, 6199, 807, 1336, 3395, 1768, 516, 1598, 6053, 538, 1360, 22501, 610, 22586, 11934, 269, 2368, 14208, 1156, 6199, 807, 267, 1312, 18714, 543, 3134, 760, 1506, 6776, 616, 1360, 10694, 6738, 538, 11149, 563, 6826, 2386, 547, 946, 513, 1360, 1134, 1951, 1456, 29238, 3575, 269, 17186, 525, 602, 616, 16887, 18705, 585, 28538, 7942, 6758, 610, 30597, 616, 4998, 269, 1411, 666, 849, 1711, 707, 1378, 29238, 5420, 1210, 29238, 3575, 267, 829, 29411, 267, 543, 21432, 5070, 269, 8550, 946, 4677, 3037, 1317, 621, 568, 1932, 10053, 543, 786, 711, 8963, 3728, 2614, 269, 1879, 519, 29238, 3037, 3788, 1932, 521, 690, 4445, 621, 786, 5000, 3597, 4232, 543, 13862, 4232, 563, 23409, 543, 4826, 21976, 454, 6624, 14208, 1156, 6199, 807, 267, 2523, 1346, 5065, 547, 22501, 17822, 543, 5032, 338, 4782, 2407, 3141, 269, 1703, 616, 930, 602, 8853, 1732, 538, 9940, 1769, 610, 546, 1952, 1194, 12094, 269, 14208, 1156, 6199, 807, 1058, 581, 530, 23926, 538, 741, 3844, 7382, 269, 1717, 267, 581, 6297, 711, 547, 1450, 519, 1216, 547, 24715, 622, 269, 681, 20600, 519, 7382, 856, 5781, 543, 946, 30341, 610, 4764, 1216, 547, 2057, 7777, 1628, 909, 593, 519, 3762, 563, 12024, 1034, 824, 28538, 7942, 6758, 14208, 1156, 6199, 807, 3132, 1152, 513, 2582, 4870, 2803, 12412, 269, 634, 4870, 2803, 12412, 568, 1360, 1279, 9434, 267, 909, 547, 1896, 3275, 538, 930, 2665, 267, 855, 2899, 621, 10523, 519, 2030, 786, 2253, 547, 5884, 607, 1134, 269, 1717, 267, 14208, 1156, 6199, 807, 1252, 3585, 1305, 593, 1055, 3333, 334, 1824, 1572, 4996, 1186, 269, 1452, 1055, 3333, 334, 1824, 666, 581, 6569, 543, 4562, 5896, 610, 4847, 547, 2611, 609, 3993, 2030, 607, 513, 804, 2794, 269, 898, 666, 1491, 930, 14208, 1156, 6199, 807, 607, 1279, 607, 476, 276, 1296, 547, 3914, 15657, 543, 3132, 513, 8768, 563, 2467, 616, 711, 1082, 8677, 540, 14208, 1156, 6199, 807, 1336, 538, 14713, 269, 4256, 2673, 14077, 21926, 1889, 320, 616, 1454, 811, 2442, 269, 3509, 2249, 616, 2352, 547, 1332, 1317, 540, 741, 1804, 2450, 269, 1717, 267, 513, 1906, 2249, 543, 28212, 540, 14208, 1156, 6199, 807, 666, 581, 1336, 689, 20614, 28538, 7942, 6758, 21625, 563, 295, 334, 1156, 6199, 807, 588, 718, 1092, 568, 513, 1455, 14208, 1156, 6199, 807, 1336, 538, 14713, 269, 898, 666, 1118, 606, 5140, 5251, 2030, 538, 3636, 267, 9341, 16374, 269, 898, 666, 581, 12630, 538, 11149, 16280, 610, 13964, 1282, 519, 4832, 538, 7646, 16374, 269, 634, 2030, 814, 3376, 267, 6366, 267, 6505, 3039, 3762, 602, 18846, 856, 2072, 269, 4706, 1034, 10875, 8984, 568, 922, 4870, 2803, 12412, 269, 898, 15920, 909, 513, 7381, 8768, 31537, 609, 6505, 13687, 11954, 5182, 8032, 4870, 2803, 12412, 269, 634, 18742, 616, 1279, 9434, 543, 9921, 547, 513, 4514, 2699, 2681, 269, 901, 2030, 666, 1332, 909, 547, 1614, 3952, 7381, 543, 1079, 3952, 2647, 269, 898, 27422, 12094, 610, 546, 1952, 1194, 12094, 563, 295, 334, 1156, 6199, 807, 2048, 2419, 8981, 674, 19276, 685, 568, 513, 4190, 5252, 541, 269, 898, 814, 3638, 10217, 11954, 3762, 609, 12457, 8880, 6512, 532, 269, 4706, 3762, 1796, 6140, 16245, 543, 1332, 547, 827, 1079, 3952, 7381, 269, 634, 8768, 31537, 568, 513, 6505, 2699, 609, 13421, 540, 3043, 267, 27967, 3168, 4870, 2803, 12412, 602, 9496, 1055, 593, 8371, 269, 901, 2030, 3340, 9864, 12094, 543, 2306, 606, 5140, 8708, 2030, 563, 295, 334, 1156, 6199, 807, 5641, 749, 534, 657, 4512, 814, 1360, 3376, 3762, 602, 2253, 607, 6505, 3039, 267, 855, 1025, 2313, 6505, 2699, 689, 519, 4388, 27808, 950, 15496, 269, 898, 9428, 909, 547, 476, 2764, 6279, 7381, 543, 476, 1240, 6279, 2647, 269, 634, 8768, 31537, 568, 3039, 543, 2864, 14455, 30679, 6681, 269, 901, 2030, 568, 6738, 585, 922, 10875, 16714, 269, 898, 1281, 1655, 3544, 538, 1463, 7943, 563, 295, 334, 1156, 6199, 807, 682, 641, 1245, 334, 268, 1817, 560, 4512, 814, 513, 1360, 4190, 3337, 543, 1106, 269, 4706, 2647, 3762, 512, 1653, 1055, 547, 513, 10058, 1448, 693, 519, 9133, 269, 898, 568, 513, 4130, 14208, 1156, 6199, 807, 602, 3029, 513, 1360, 9395, 8546, 8032, 887, 3553, 974, 269, 1879, 6738, 538, 2407, 3141, 519, 3762, 1831, 513, 17681, 1625, 680, 880, 3109, 2681, 269, 634, 811, 3141, 519, 2030, 4991, 519, 18632, 519, 3762, 786, 581, 269, 1403, 519, 2030, 4991, 1932, 1454, 13226, 610, 711, 2614, 1769, 267, 621, 786, 2611, 7357, 3039, 563, 295, 334, 1156, 6199, 807, 2892, 345, 10458, 328, 568, 711, 6738, 538, 14713, 1813, 547, 922, 7372, 2450, 269, 769, 513, 645, 668, 7942, 611, 5980, 28743, 631, 5285, 1042, 23340, 19528, 25884, 713, 9649, 593, 513, 7552, 547, 519, 1533, 540, 15840, 807, 538, 8478, 538, 476, 4350, 280, 269, 1261, 1336, 621, 3395, 593, 519, 22501, 17822, 540, 519, 5032, 269, 23340, 7074, 602, 519, 1360, 13888, 20005, 3762, 941, 14350, 5216, 547, 4557, 6279, 2647, 543, 909, 547, 2185, 3952, 1279, 269, 898, 3812, 513, 6094, 569, 4839, 3481, 4870, 2803, 12412, 602, 729, 909, 547, 5216, 3952, 7381, 609, 1360, 1507, 13711, 5810, 563, 295, 334, 1156, 6199, 807, 9782, 320, 568, 513, 1804, 2030, 602, 666, 1332, 909, 547, 1614, 3952, 7381, 543, 2647, 269, 898, 666, 20496, 12094, 547, 2407, 3141, 269, 4706, 6978, 7801, 786, 4096, 593, 875, 1454, 1463, 1769, 621, 4991, 269, 769, 2407, 3141, 519, 3762, 786, 1831, 513, 18632, 3276, 326, 1495, 344, 269, 769, 519, 12094, 519, 3762, 786, 723, 513, 2138, 339, 1194, 3039, 543, 13711, 5920, 269, 634, 3762, 616, 13888, 543, 3376, 609, 8325, 838, 1149, 782, 519, 1259, 1472, 519, 19114, 269, 634, 2030, 7472, 513, 7381, 8768, 21782, 609, 11909, 4212, 8032, 4870, 2803, 12412, 543, 13711, 5810, 563, 29002, 547, 2659, 14635, 454, 5278, 14208, 1156, 6199, 807, 666, 581, 2352, 547, 1332, 16280, 1813, 547, 741, 2450, 267, 855, 789, 666, 8853, 3362, 538, 8916, 538, 9341, 16374, 269, 589, 4686, 543, 2189, 14208, 1156, 6199, 807, 1131, 581, 606, 10694, 1840, 547, 606, 9205, 5251, 269, 1358, 786, 1332, 547, 6445, 856, 513, 1804, 2230, 543, 7782, 1252, 3585, 2870, 1804, 804, 7927, 540, 4190, 2371, 563, 2252, 596, 1131, 899, 547, 1332, 513, 14208, 1156, 6199, 807, 538, 513, 8708, 610, 16280, 3442, 513, 2249, 602, 9428, 547, 513, 811, 19242, 2450, 563, 2005, 666, 581, 2352, 547, 1265, 14208, 1156, 6199, 807, 585, 9042, 855, 930, 2228, 20614, 21625, 723, 4996, 1186, 610, 5452, 2139, 269, 1358, 666, 849, 581, 1336, 538, 2982, 610, 2027, 10070, 269, 1403, 596, 723, 6738, 606, 589, 3663, 1889, 320, 789, 13789, 1360, 13974, 543, 786, 711, 581, 2352, 547, 1332, 269, 6333, 9750, 707, 4015, 547, 1331, 513, 23406, 14208, 1156, 6199, 807, 269, 5620, 596, 6738, 513, 14208, 1156, 6199, 807, 286, 7316, 1705, 596, 1265, 621, 888, 2108, 295, 334, 1156, 6199, 807, 588, 749, 1092, 1848, 18409, 529, 645, 668, 7942, 6758, 563, 2108, 295, 334, 1156, 6199, 807, 2048, 293, 19276, 681, 21451, 685, 1848, 18409, 529, 645, 668, 7942, 6758, 563, 2108, 295, 334, 1156, 6199, 807, 10011, 749, 534, 657, 4512, 1848, 18409, 529, 645, 668, 7942, 6758, 563, 2108, 295, 334, 1156, 6199, 807, 588, 749, 1092, 1848, 2817, 23427, 15636, 19680, 12567, 563, 293, 8803, 267, 631, 5285, 1042, 645, 269, 968, 295, 334, 1156, 6199, 807, 538, 29088, 22450, 1848, 634, 645, 668, 7942, 611, 5980, 28743, 269, 5292, 269, 17886, 3143, 269, 476, 275, 454, 2108, 295, 517, 1156, 6199, 807, 682, 641, 1245, 334, 268, 1817, 560, 4512, 1848, 570, 297, 645, 668, 7942, 6758, 563, 295, 3663, 339, 807, 5516, 4258, 520, 16847, 454, 9596, 875, 547, 1416, 585, 707, 1261, 19816, 807, 28538, 7942, 611, 609, 713, 2656, 543, 2653, 21141, 3391, 269, 9596, 2859, 454, 16485, 606, 16869, 454, 26524, 827, 28538, 7942, 6758, 888, 5978, 4966, 2648, 513, 4161, 256, 0, 29189, 783, 2657, 543, 4860, 529, 1746, 2552, 571, 4003, 2409, 269, 13662, 4047, 17716, 4065, 269, 13662, 4047, 630, 305, 10345, 264, 7689, 13268, 269, 681, 10345, 3798, 3386, 17948, 267, 7689, 10495, 267, 9906, 8249, 267, 6178, 14006, 532, 547, 3063, 1489, 2533, 269, 12844, 639, 24238, 11314, 543, 1454, 811, 563, 2414, 1174, 875, 513, 3099, 540, 1114, 3029, 540, 15333, 4003, 960, 454, 2414, 581, 2111, 547, 2697, 799, 2010, 540, 15333, 4003, 1131, 581, 1655, 1031, 676, 1114, 2010, 540, 1004, 454, 2414, 2263, 799, 3029, 540, 15333, 4003, 2149, 1996, 6379, 267, 590, 2316, 779, 610, 1312, 454, 5278, 6206, 16301, 595, 2642, 454, 296, 11070, 267, 4144, 24530, 332, 267, 623, 2255, 267, 769, 20287, 267, 2552, 571, 4003, 23580, 267, 2806, 560, 29561, 267, 9473, 558, 267, 30346, 267, 12339, 573, 558, 28202, 2313, 267, 8935, 3832, 267, 24498, 9473, 558, 267, 18378, 9473, 558, 454, 4916, 4047, 30151, 630, 10112, 20156, 264, 20505, 454, 296, 1174, 519, 3017, 1063, 4446, 8175, 543, 700, 2752, 290, 2409, 540, 15333, 4003, 454, 296, 666, 2491, 519, 2589, 540, 4278, 2313, 538, 2367, 543, 2021, 454, 296, 1174, 519, 2956, 540, 15333, 4003, 543, 666, 6218, 519, 7145, 540, 1114, 2409, 454, 31339, 20351, 2657, 24598, 1231, 713, 3992, 563, 10376, 7689, 13268, 1230, 13935, 912, 268, 476, 272, 27975, 569, 3798, 3386, 17948, 630, 13981, 27159, 267, 30151, 6744, 619, 267, 10495, 540, 4804, 267, 7352, 1214, 540, 570, 3696, 267, 11473, 2506, 5523, 4765, 15745, 1849, 2354, 267, 12056, 20031, 1756, 10866, 6215, 1938, 267, 23448, 8081, 15750, 2572, 267, 5668, 27701, 1299, 23539, 995, 7726, 532, 994, 268, 9906, 8018, 4433, 994, 268, 24238, 22362, 11242, 454, 268, 10495, 31621, 630, 18183, 2064, 6744, 518, 994, 268, 11819, 11872, 630, 4002, 930, 15942, 994, 268, 631, 11474, 1996, 26257, 667, 325, 292, 30334, 267, 13662, 4047, 5948, 11759, 4798, 543, 476, 1708, 271, 21976, 454, 763, 11511, 279, 339, 633, 15099, 1259, 2336, 5978, 3838, 5075, 693, 11511, 279, 339, 633, 15099, 568, 547, 948, 3610, 547, 16491, 1053, 609, 519, 1702, 543, 1983, 547, 1491, 9562, 540, 741, 1378, 1565, 543, 1831, 4830, 2565, 17024, 269, 15733, 2097, 2048, 5649, 344, 3562, 268, 5938, 778, 685, 609, 3388, 596, 991, 585, 3872, 267, 1187, 543, 3860, 4245, 563, 6826, 2986, 23264, 543, 667, 325, 292, 13662, 4047, 476, 1708, 271, 4712, 609, 938, 2200, 256, 8605, 8943, 281, 681, 10345, 14727, 279, 270, 11862, 270, 15782, 0, 1410, 21925, 11930, 547, 519, 1585, 3157, 540, 11761, 267, 3560, 267, 543, 18254, 602, 1491, 1747, 693, 519, 3047, 781, 2627, 269, 15394, 519, 2165, 568, 1031, 538, 4334, 609, 519, 2048, 754, 21925, 685, 610, 4835, 6127, 563, 5415, 3245, 22605, 2593, 454, 292, 565, 1014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5038, 563, 16446, 11276, 267, 595, 2529, 1421, 717, 269, 13225, 698, 12505, 541, 27011, 267, 918, 12991, 269, 4414, 11276, 1299, 966, 2529, 269, 14076, 340, 630, 1220, 279, 1040, 1103, 15230, 1325, 1329, 7579, 320, 540, 3127, 269, 2817, 18143, 6176, 24486, 267, 2475, 14899, 267, 7330, 563, 16446, 11276, 267, 595, 2529, 269, 630, 1220, 280, 1040, 18143, 32042, 910, 513, 2518, 9810, 269, 7351, 3163, 476, 3445, 281, 476, 11277, 276, 563, 4537, 27553, 267, 595, 9950, 269, 1299, 654, 269, 1284, 10719, 630, 3422, 274, 1040, 634, 19556, 7869, 540, 9442, 269, 2160, 540, 13325, 4964, 267, 12124, 320, 267, 7330, 454, 8245, 12121, 267, 661, 269, 670, 269, 630, 3707, 280, 1040, 20970, 540, 4763, 269, 7186, 476, 14321, 281, 476, 277, 6434, 563, 13328, 11094, 16424, 10418, 630, 310, 6717, 264, 630, 1960, 273, 1040, 6820, 26085, 281, 21073, 540, 519, 2423, 2195, 12389, 8249, 269, 28331, 2006, 543, 8065, 267, 5507, 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 ]
[ 623, 3073, 344, 543, 645, 612, 269, 623, 3073, 344, 543, 645, 612, 729, 1101, 5340, 538, 11785, 593, 5181, 476, 1789, 267, 476, 4350, 276, 267, 1354, 621, 6410, 547, 16340, 3118, 538, 1715, 3840, 4975, 269, 898, 12286, 513, 5641, 540, 1362, 1227, 8036, 3979, 12677, 2206, 619, 12544, 12050, 543, 546, 13550, 1652, 7499, 3903, 693, 519, 942, 269, 634, 5152, 814, 1044, 9862, 883, 936, 476, 1839, 267, 1822, 8747, 267, 6140, 28020, 676, 5159, 899, 9291, 773, 31054, 267, 30683, 16026, 543, 3967, 529, 808, 641, 4802, 269, 901, 568, 519, 3312, 4528, 269, 717, 619, 327, 7773, 781, 22968, 729, 513, 5010, 5821, 950, 621, 8118, 593, 16340, 3118, 855, 6913, 2565, 1967, 609, 2663, 24299, 269, 634, 22968, 15469, 6043, 1369, 519, 3979, 12677, 2146, 19203, 25075, 4575, 4126, 585, 513, 1732, 2104, 9624, 23434, 543, 14882, 269, 834, 11764, 1067, 5503, 257, 729, 513, 11537, 6060, 1256, 1991, 547, 519, 22968, 781, 6101, 1967, 269, 24722, 6656, 2575, 585, 835, 540, 519, 1034, 8037, 3979, 12677, 12563, 1766, 553, 540, 782, 942, 269, 16592, 7944, 540, 4395, 2985, 536, 22981, 543, 1769, 1212, 2084, 547, 4395, 2985, 269, 769, 1360, 1434, 2783, 269, 0, 275, 269, 273, 4804, 1247, 519, 23038, 2887, 454, 763, 12289, 814, 22314, 1169, 2460, 540, 1272, 585, 19678, 2103, 267, 1519, 2069, 269, 898, 814, 849, 6383, 12703, 543, 3860, 2081, 547, 1118, 2386, 602, 1565, 5170, 267, 1312, 538, 3506, 543, 9945, 267, 538, 12907, 543, 585, 19774, 19678, 2103, 13383, 269, 3371, 649, 1445, 593, 2362, 2069, 563, 1103, 12907, 3294, 267, 1082, 9945, 1869, 1599, 593, 3135, 267, 585, 1383, 538, 519, 2749, 540, 667, 30876, 549, 267, 5103, 519, 7387, 532, 269, 4033, 1053, 1451, 20716, 269, 4256, 3610, 1020, 1007, 2081, 540, 3450, 543, 5885, 873, 267, 607, 4950, 4296, 616, 4057, 610, 1875, 7721, 11962, 269, 4841, 1451, 538, 15678, 11623, 269, 3509, 723, 4503, 1920, 2818, 563, 6624, 19774, 21977, 1053, 616, 1631, 4974, 3544, 12907, 269, 634, 7046, 2160, 568, 513, 2160, 540, 5842, 551, 4231, 269, 1703, 616, 476, 1321, 25689, 585, 19774, 1053, 2139, 538, 476, 1708, 273, 270, 2537, 269, 3962, 14172, 6227, 519, 24875, 12375, 585, 513, 2407, 744, 308, 15938, 4110, 267, 936, 1614, 1296, 610, 3476, 269, 1703, 616, 849, 476, 2004, 13927, 3649, 1392, 2139, 267, 799, 786, 1142, 3382, 519, 1942, 540, 593, 652, 691, 532, 538, 4201, 4379, 476, 1708, 273, 563, 2690, 811, 1344, 267, 1246, 891, 6402, 281, 0, 2791, 22646, 585, 834, 326, 22330, 4840, 263, 276, 2164, 1336, 994, 7476, 2347, 3795, 540, 589, 304, 288, 23722, 10334, 538, 835, 1433, 269, 1411, 786, 23590, 3388, 596, 991, 547, 917, 547, 798, 1134, 538, 707, 11400, 267, 689, 1591, 7350, 547, 4720, 563, 3725, 341, 1047, 543, 2259, 585, 707, 589, 304, 288, 23722, 11061, 11400, 269, 901, 14469, 3391, 786, 1628, 707, 6015, 543, 1620, 540, 782, 519, 6547, 267, 9273, 543, 811, 602, 596, 991, 547, 917, 547, 798, 1134, 563, 22913, 519, 1702, 543, 1983, 596, 991, 547, 8011, 538, 589, 304, 288, 23722, 7690, 10395, 1441, 3163, 609, 835, 14469, 3391, 269, 898, 6227, 3388, 596, 991, 547, 23590, 585, 10334, 267, 11061, 543, 8212, 563, 3725, 341, 1047, 3388, 596, 991, 547, 917, 585, 589, 304, 288, 23722, 14451, 10395, 1441, 3163, 269, 901, 14469, 3391, 786, 948, 596, 23590, 519, 2407, 14451, 1576, 689, 1591, 7350, 547, 3114, 6547, 547, 6323, 4834, 0, 1692, 1677, 13760, 589, 31315, 779, 14333, 11576, 6638, 286, 3657, 596, 4712, 547, 4685, 883, 519, 4241, 1158, 540, 13131, 22243, 3467, 4003, 888, 289, 15869, 3054, 1317, 1620, 513, 13131, 779, 3002, 8417, 568, 711, 585, 519, 25861, 540, 2295, 563, 4322, 4411, 15918, 797, 539, 7068, 723, 7960, 606, 6909, 2702, 547, 3713, 543, 13861, 8143, 10291, 538, 741, 1604, 563, 5331, 1373, 2111, 547, 2631, 3002, 609, 971, 8856, 602, 596, 666, 24672, 6330, 707, 10450, 267, 12398, 10352, 267, 543, 10038, 707, 1560, 2837, 563, 27409, 1389, 723, 27058, 713, 1148, 936, 6634, 540, 1296, 540, 4720, 267, 1818, 873, 930, 540, 2470, 779, 1034, 3608, 11975, 563, 27409, 820, 779, 769, 713, 2376, 267, 649, 786, 1491, 513, 2620, 4685, 883, 519, 9238, 540, 13131, 22243, 3467, 4003, 267, 3695, 1946, 3002, 8417, 568, 2629, 585, 15315, 685, 6668, 563, 2171, 786, 19586, 875, 3002, 7506, 741, 2623, 267, 17766, 1769, 593, 741, 10122, 2994, 543, 7226, 7375, 563, 12234, 267, 649, 786, 5490, 883, 519, 12105, 1686, 3297, 713, 7415, 9542, 563, 7476, 4712, 547, 7832, 593, 513, 3621, 3460, 602, 786, 5337, 924, 707, 7279, 543, 4228, 707, 1620, 540, 891, 15999, 7068, 563, 3383, 2322, 593, 707, 3621, 575, 17344, 956, 543, 1577, 779, 2263, 519, 9159, 1158, 540, 13131, 3002, 8417, 1927, 2336, 8368, 540, 12937, 454, 268, 10965, 1389, 723, 7463, 8143, 13364, 538, 741, 3068, 543, 17534, 602, 3713, 2242, 538, 2837, 563, 268, 10965, 1389, 946, 8143, 13364, 547, 3713, 18342, 5982, 19501, 676, 3636, 15918, 797, 539, 2831, 610, 3615, 563, 268, 10965, 1389, 723, 7463, 8486, 8219, 593, 741, 2212, 602, 2270, 3002, 25259, 8229, 30804, 563, 268, 14333, 8417, 7506, 13131, 2623, 267, 1519, 741, 8023, 6208, 563, 763, 17943, 540, 31315, 14562, 3467, 4003, 454, 3086, 1577, 779, 4685, 883, 519, 4241, 1158, 540, 875, 15315, 1745, 3002, 256, 31315, 14169, 4249, 513, 2629, 1909, 538, 741, 7415, 2702, 547, 3713, 543, 4612, 8143, 10291, 689, 741, 1604, 563, 4263, 519, 2295, 540, 713, 10444, 1062, 616, 7463, 3889, 1572, 8143, 13364, 563, 4322, 13364, 616, 4092, 538, 1585, 2694, 540, 519, 13131, 779, 1560, 267, 1519, 922, 3068, 543, 17534, 563, 5445, 2874, 540, 3810, 6213, 8229, 30804, 602, 4431, 547, 2242, 538, 2837, 267, 3850, 15315, 547, 13498, 1256, 11029, 7648, 538, 741, 10450, 563, 4322, 8143, 13364, 616, 4481, 2966, 547, 3713, 18342, 5982, 19501, 676, 3636, 15918, 797, 539, 2831, 610, 3615, 267, 7175, 15315, 547, 12398, 1761, 10352, 610, 2057, 11975, 7561, 563, 763, 1344, 10356, 676, 891, 13364, 568, 1287, 10299, 547, 519, 13131, 779, 2634, 267, 1141, 621, 568, 9268, 543, 14648, 267, 3246, 4105, 4030, 883, 922, 1604, 563, 8139, 875, 13131, 22243, 3467, 4003, 1568, 3947, 721, 513, 19214, 883, 519, 6946, 10444, 14624, 602, 723, 4847, 891, 6909, 7068, 547, 8853, 585, 6634, 540, 1296, 563, 763, 11957, 540, 14333, 11576, 6638, 585, 10965, 1389, 454, 3080, 2629, 2460, 547, 2015, 568, 875, 4105, 621, 568, 585, 15315, 547, 581, 3222, 540, 2837, 2242, 563, 27409, 820, 17550, 2636, 873, 547, 3927, 3713, 3002, 267, 799, 568, 2629, 585, 741, 6668, 543, 3232, 2238, 563, 27409, 1389, 4865, 7463, 3002, 7020, 6127, 602, 5512, 873, 547, 12398, 3636, 15918, 797, 539, 10352, 267, 1265, 5078, 1666, 6362, 9634, 267, 543, 10038, 741, 1560, 2837, 563, 4322, 6127, 4125, 7463, 8219, 1572, 8486, 8219, 610, 561, 648, 531, 29365, 4092, 593, 519, 13131, 779, 2212, 563, 4322, 29365, 2270, 3002, 25259, 8229, 30804, 602, 666, 3713, 1256, 1507, 3604, 538, 2837, 607, 1970, 607, 476, 271, 269, 19740, 5232, 17622, 563, 1607, 11141, 8417, 2636, 15315, 547, 8308, 12398, 543, 10880, 693, 741, 10352, 267, 1256, 538, 2347, 14334, 563, 3528, 1620, 513, 13131, 779, 3002, 8417, 267, 649, 2744, 5813, 883, 741, 7415, 2702, 547, 6330, 543, 8853, 538, 3309, 5054, 563, 763, 21478, 540, 14333, 593, 31315, 10263, 454, 763, 1198, 540, 3002, 593, 13131, 2623, 666, 581, 2938, 538, 741, 3742, 3406, 585, 3636, 1666, 6362, 9634, 543, 741, 2702, 547, 8308, 10880, 693, 10352, 563, 27409, 1389, 723, 8143, 7375, 267, 2495, 789, 3343, 856, 1808, 5210, 602, 11126, 741, 12214, 8647, 563, 5445, 616, 28341, 1278, 6193, 2831, 267, 13461, 593, 5007, 3002, 2959, 547, 10038, 741, 1560, 2837, 563, 2691, 15315, 1745, 4411, 267, 789, 8362, 1847, 1472, 547, 1265, 15911, 2127, 1141, 789, 666, 2333, 741, 1560, 2837, 563, 1607, 2623, 568, 2629, 585, 4509, 10894, 3157, 543, 2949, 1072, 563, 12234, 267, 519, 3310, 540, 3002, 593, 13131, 2623, 11498, 547, 741, 8023, 6208, 563, 27409, 1389, 7048, 593, 5730, 16716, 547, 7001, 10352, 267, 543, 789, 946, 741, 3002, 25259, 29365, 4092, 1063, 741, 4064, 543, 19911, 337, 2812, 547, 8308, 3713, 519, 1560, 3002, 540, 1761, 9072, 563, 11997, 267, 1620, 513, 13131, 779, 3002, 8417, 568, 1898, 585, 26762, 922, 8965, 6114, 543, 6668, 2994, 538, 922, 2067, 1604, 563, 763, 12472, 540, 14333, 11576, 6638, 538, 10965, 1389, 454, 20524, 875, 15315, 723, 2919, 513, 15398, 3905, 1145, 8226, 267, 7393, 741, 10122, 5759, 543, 6668, 12485, 563, 27409, 1389, 4865, 7415, 12105, 14624, 602, 5512, 873, 547, 2631, 3002, 609, 11108, 8856, 563, 1607, 2702, 568, 2629, 585, 29466, 10352, 267, 607, 3636, 15918, 797, 539, 2831, 12520, 18342, 5982, 602, 15315, 666, 3713, 1210, 7463, 8219, 1572, 8486, 8219, 563, 4322, 8486, 8219, 2270, 3002, 25259, 13364, 1634, 607, 13138, 5183, 272, 9055, 267, 799, 4431, 547, 2837, 7648, 543, 6460, 873, 883, 5122, 6786, 563, 3528, 7421, 891, 6786, 267, 15315, 1711, 513, 8143, 3239, 540, 741, 10450, 267, 3850, 873, 547, 8308, 12398, 1761, 6980, 1256, 538, 2347, 14334, 563, 2414, 2417, 1174, 13131, 3002, 8417, 267, 3744, 723, 2919, 4359, 8143, 9196, 2029, 602, 3308, 3278, 519, 18342, 8552, 19501, 676, 3636, 15918, 797, 539, 10352, 563, 1607, 2029, 6087, 3173, 547, 1353, 519, 6946, 6127, 3297, 513, 13131, 779, 3002, 8226, 543, 2488, 3407, 4030, 883, 741, 10122, 2994, 543, 6668, 538, 3309, 5054, 563, 10932, 543, 11094, 20480, 454, 4462, 557, 4979, 519, 1382, 543, 5726, 6286, 859, 10280, 513, 2631, 540, 23473, 547, 2149, 891, 6909, 7068, 563, 8139, 519, 3002, 8417, 540, 15315, 814, 1271, 1382, 6286, 602, 666, 3986, 938, 1702, 540, 741, 2623, 543, 14498, 563, 12867, 666, 2744, 4030, 883, 741, 25061, 2994, 267, 7226, 5542, 267, 543, 10285, 3270, 676, 4974, 875, 15315, 3713, 543, 4431, 547, 8143, 10291, 563, 1103, 1840, 547, 1382, 6286, 267, 1620, 513, 13131, 779, 3002, 8417, 849, 814, 1713, 5726, 6286, 563, 307, 17687, 4249, 513, 4105, 1909, 538, 519, 6668, 543, 12093, 540, 15315, 267, 607, 621, 5540, 741, 10307, 267, 12536, 267, 543, 2949, 12214, 8647, 563, 3528, 7114, 2837, 17466, 9249, 610, 8143, 23725, 832, 1031, 676, 15315, 267, 5726, 1235, 666, 4225, 2127, 602, 616, 2565, 585, 741, 6668, 563, 14454, 267, 19586, 532, 519, 14960, 540, 513, 13131, 779, 3002, 8417, 8309, 547, 3621, 1702, 543, 2488, 3407, 4030, 585, 5726, 3527, 269, 0, 2467, 616, 1100, 3742, 8100, 538, 713, 2376, 563, 288, 28301, 21906, 540, 16246, 4356, 282, 11710, 536, 1329, 333, 658, 267, 5180, 267, 28795, 267, 11439, 609, 2110, 267, 16559, 267, 1232, 20940, 838, 1149, 267, 543, 5394, 569, 4988, 609, 15454, 880, 24827, 267, 1082, 540, 873, 14189, 2389, 5792, 269, 27817, 2241, 267, 17618, 561, 766, 25544, 267, 1279, 15304, 539, 267, 2295, 11057, 693, 519, 3490, 267, 476, 275, 547, 476, 278, 538, 269, 1279, 267, 827, 3368, 607, 2647, 267, 519, 19114, 530, 8283, 267, 543, 25921, 543, 29656, 547, 582, 1117, 282, 5580, 2627, 1490, 626, 569, 267, 2523, 2059, 519, 4571, 1026, 543, 15532, 267, 519, 2539, 835, 4988, 609, 513, 10053, 6960, 880, 2699, 1524, 282, 6978, 3613, 1779, 909, 547, 476, 272, 538, 269, 1279, 267, 4552, 344, 543, 533, 4459, 569, 269, 26540, 28703, 593, 606, 28608, 267, 561, 1314, 3443, 1834, 267, 519, 1608, 344, 343, 1373, 7415, 585, 922, 10053, 8720, 540, 26070, 14189, 983, 24827, 269, 29759, 3109, 267, 18009, 2287, 2038, 563, 30943, 540, 3624, 267, 1141, 621, 729, 8385, 4362, 538, 519, 11662, 540, 590, 14864, 9774, 676, 661, 269, 670, 269, 26436, 267, 538, 476, 6642, 272, 282, 5189, 538, 476, 5002, 278, 676, 14355, 267, 945, 1336, 621, 2282, 594, 577, 836, 269, 901, 536, 1090, 1076, 814, 3982, 543, 11495, 16714, 267, 543, 922, 4356, 568, 17715, 269, 0, 23175, 902, 2099, 20927, 16776, 1031, 547, 2497, 513, 1257, 538, 1931, 547, 3391, 1004, 543, 3406, 9817, 998, 519, 2985, 543, 547, 2333, 519, 10333, 540, 513, 2985, 563, 23175, 902, 616, 849, 1572, 20927, 16776, 267, 543, 789, 948, 1004, 543, 3406, 9817, 1174, 513, 1257, 3362, 676, 13057, 873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 26537, 564, 22785, 568, 606, 19450, 4250, 540, 1018, 888, 12585, 281, 5010, 4871, 2724, 0, 9223, 281, 594, 6415, 6341, 269, 3733, 15908, 568, 4730, 21802, 4534, 821, 540, 519, 6574, 3756, 538, 519, 1158, 269, 3733, 3158, 6026, 803, 875, 547, 1404, 950, 594, 729, 476, 278, 269, 2701, 10726, 476, 803, 1169, 942, 585, 519, 1101, 1032, 269, 1809, 1287, 593, 1250, 21632, 14512, 267, 594, 4465, 585, 519, 1101, 942, 269, 594, 5176, 2141, 10726, 1200, 689, 1287, 593, 269, 898, 3217, 827, 513, 1554, 547, 1451, 519, 3652, 1547, 1809, 952, 596, 1616, 547, 581, 1434, 267, 596, 723, 547, 2259, 585, 1296, 269, 1411, 1810, 1405, 991, 1454, 547, 1404, 21802, 734, 3286, 513, 21802, 1305, 476, 543, 2576, 547, 1404, 609, 269, 4258, 1087, 5036, 666, 581, 3833, 10464, 267, 610, 1360, 7199, 269, 2368, 1004, 2445, 21802, 5036, 607, 513, 15908, 267, 855, 930, 4782, 4730, 269, 1703, 568, 513, 21802, 8630, 538, 938, 1153, 267, 543, 649, 2743, 1169, 3018, 547, 1404, 609, 1142, 824, 269, 594, 6415, 519, 1655, 6345, 538, 519, 8630, 267, 543, 519, 23071, 540, 519, 1153, 21802, 2319, 269, 901, 1032, 649, 4465, 519, 2353, 2296, 12140, 262, 29073, 1222, 2073, 543, 594, 1185, 547, 979, 909, 593, 3942, 476, 538, 4395, 540, 519, 2898, 1153, 547, 2445, 519, 512, 15577, 1547, 594, 6415, 9494, 909, 1250, 2724, 547, 4444, 513, 21802, 2780, 269, 898, 781, 1360, 7199, 267, 855, 1360, 1434, 585, 2259, 269, 769, 602, 1259, 267, 594, 3513, 2141, 723, 2576, 547, 1404, 609, 269, 2290, 1554, 594, 786, 581, 519, 1158, 21802, 22299, 1547, 2073, 269, 6341, 781, 1153, 814, 513, 1360, 1434, 567, 9041, 567, 2319, 563, 288, 269, 21802, 454, 289, 269, 13558, 454, 290, 269, 14912, 454, 291, 269, 533, 532, 335, 784, 454, 12585, 281, 589, 0, 9223, 281, 25676, 476, 272, 4563, 7703, 4032, 1703, 723, 1044, 11642, 538, 713, 1858, 538, 519, 2063, 1906, 1296, 543, 519, 8433, 540, 519, 2817, 5244, 568, 711, 2386, 875, 1082, 3109, 12217, 616, 1869, 2713, 269, 2368, 12217, 723, 1044, 2938, 2094, 519, 11642, 267, 543, 519, 8433, 814, 4280, 585, 1762, 1004, 547, 948, 1293, 873, 269, 634, 3003, 7552, 786, 2063, 1614, 3108, 269, 3883, 902, 2556, 269, 8779, 281, 5131, 1879, 281, 2904, 476, 279, 25676, 476, 273, 12275, 1633, 9503, 20780, 707, 4235, 543, 12899, 585, 713, 3802, 538, 513, 4190, 1858, 540, 519, 9791, 15142, 269, 12275, 1633, 9503, 568, 2673, 547, 519, 4884, 540, 12275, 1633, 855, 568, 851, 540, 519, 2817, 5244, 269, 3509, 3552, 2831, 2661, 538, 713, 1858, 267, 1519, 1082, 4686, 5017, 269, 901, 568, 513, 1390, 3802, 585, 6177, 2000, 13569, 269, 634, 7552, 16569, 2185, 3108, 269, 3883, 902, 2556, 269, 8779, 281, 1269, 1428, 1879, 281, 2904, 476, 279, 267, 2904, 476, 1428, 25676, 476, 274, 18044, 2775, 23874, 10925, 593, 707, 3636, 9660, 267, 3142, 513, 8755, 2775, 476, 543, 513, 6292, 540, 14296, 267, 543, 2097, 585, 513, 3781, 3802, 2059, 519, 667, 2426, 690, 9503, 267, 851, 540, 519, 2817, 5244, 269, 589, 3391, 786, 1291, 519, 4663, 269, 3509, 540, 519, 2831, 596, 786, 1294, 593, 713, 7552, 269, 634, 3391, 786, 2995, 596, 827, 519, 2729, 540, 519, 2831, 596, 1294, 269, 10606, 616, 14553, 3908, 593, 3781, 15143, 267, 865, 581, 2386, 547, 1433, 2038, 269, 901, 3802, 16569, 1079, 543, 513, 3368, 3108, 269, 8779, 281, 1269, 1321, 1879, 281, 2904, 476, 279, 267, 2904, 476, 1428, 267, 2904, 2420, 16811, 547, 581, 2877, 281, 7490, 3142, 2614, 1216, 543, 1426, 585, 782, 15211, 269, 23203, 1434, 6972, 10887, 19203, 7224, 1164, 31623, 269, 23203, 513, 11058, 585, 1554, 15211, 269, 667, 816, 27145, 585, 3781, 15211, 269, 5753, 1590, 581, 609, 606, 2937, 269, 5269, 2386, 707, 8755, 2775, 1568, 1134, 543, 3142, 3063, 9075, 585, 3781, 15211, 269, 7427, 782, 5528, 689, 10274, 1282, 519, 15211, 269, 634, 10239, 616, 513, 5906, 1747, 269, 672, 3883, 902, 281, 3883, 902, 585, 519, 1657, 15143, 666, 581, 4123, 676, 15146, 630, 8660, 274, 544, 476, 4366, 275, 278, 264, 610, 593, 519, 5769, 693, 8940, 269, 9791, 7823, 4663, 269, 635, 1548, 568, 519, 1655, 2140, 585, 519, 8574, 888, 288, 269, 23874, 13488, 538, 3013, 454, 289, 269, 20570, 10222, 1186, 538, 519, 9791, 15142, 454, 290, 269, 21624, 10222, 1186, 538, 519, 5101, 540, 519, 7330, 454, 291, 269, 15391, 532, 1472, 519, 4279, 15142, 454, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1548, 616, 7314, 602, 723, 1336, 7943, 2693, 547, 798, 888, 288, 269, 476, 9991, 1524, 454, 289, 269, 476, 4235, 1216, 454, 290, 269, 476, 9114, 1524, 454, 291, 269, 476, 991, 1426, 454, 292, 269, 476, 3548, 5779, 454, 12585, 281, 290, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 11999, 3504, 13470, 10537, 15454, 4837, 21489, 834, 536, 834, 3504, 15454, 11999, 4837, 13470, 10537, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 304, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 3689, 540, 782, 267, 3025, 945, 568, 513, 1362, 22940, 540, 6480, 615, 568, 513, 960, 22940, 540, 715, 7614, 773, 267, 1932, 269, 8921, 267, 3057, 3250, 320, 568, 513, 960, 22940, 540, 715, 7614, 773, 269, 9747, 267, 3057, 3250, 320, 568, 513, 1362, 22940, 540, 6480, 615, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 288, 281, 23380, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 29892, 13176, 571, 281, 589, 812, 9849, 513, 3109, 25099, 543, 4544, 14247, 753, 568, 4730, 606, 17974, 13176, 269, 1261, 4249, 513, 678, 858, 607, 646, 7575, 1010, 7953, 11733, 1227, 269, 1261, 454, 288, 269, 26088, 4730, 543, 588, 4100, 10145, 569, 693, 519, 8254, 563, 289, 269, 5170, 4730, 519, 13176, 607, 519, 8254, 6212, 593, 1010, 3946, 543, 519, 13176, 1152, 563, 290, 269, 519, 9096, 4730, 607, 646, 4991, 909, 543, 695, 2607, 338, 1010, 17525, 563, 291, 269, 3076, 1206, 1010, 3946, 909, 547, 1404, 519, 19820, 563, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4457, 9764, 16463, 4816, 834, 536, 834, 9764, 4457, 16463, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 454, 304, 281, 834, 3674, 21419, 1756, 12547, 606, 12146, 540, 1250, 11067, 1379, 286, 6904, 6464, 1281, 1250, 13526, 2541, 2270, 286, 898, 568, 2731, 2352, 547, 1832, 3950, 540, 782, 6464, 835, 568, 5781, 6534, 547, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 1677, 1376, 609, 267, 1373, 606, 12146, 540, 7581, 753, 532, 31201, 568, 2556, 585, 1373, 606, 12146, 540, 16685, 321, 992, 595, 2001, 517, 269, 3767, 267, 1169, 12146, 540, 7581, 753, 532, 31201, 568, 711, 606, 12146, 540, 589, 6717, 19006, 610, 711, 606, 12146, 540, 681, 20263, 2986, 634, 13957, 269, 1284, 949, 9959, 281, 3143, 12146, 540, 16685, 321, 992, 595, 2001, 517, 568, 1312, 606, 12146, 540, 681, 20263, 2986, 634, 13957, 543, 606, 12146, 540, 589, 6717, 19006, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 288, 281, 4570, 0, 9223, 281, 5192, 513, 17676, 962, 292, 2752, 256, 11352, 715, 8582, 543, 1205, 513, 17676, 962, 292, 2752, 540, 14268, 16868, 264, 12139, 256, 2334, 781, 476, 273, 2407, 1296, 630, 2190, 2152, 264, 585, 519, 2834, 476, 272, 4458, 2557, 910, 1175, 1269, 1321, 269, 1809, 670, 7838, 23802, 267, 713, 2709, 4465, 1405, 2063, 256, 630, 308, 2529, 269, 9753, 1152, 267, 5225, 4700, 5272, 3390, 540, 24315, 19006, 568, 4904, 609, 4052, 5796, 689, 3056, 7189, 543, 1126, 4966, 3267, 9162, 543, 3756, 602, 1020, 5467, 2389, 6479, 2472, 543, 811, 256, 476, 1911, 260, 14559, 5174, 871, 2871, 5875, 2465, 281, 1411, 1590, 581, 20938, 267, 610, 596, 949, 22599, 1022, 942, 1282, 519, 1272, 540, 707, 20478, 543, 1205, 782, 707, 2724, 1394, 910, 1100, 2055, 4280, 269, 14268, 16868, 264, 18225, 568, 3370, 476, 1321, 2053, 829, 1032, 269, 14205, 902, 616, 1759, 593, 1269, 1321, 269, 876, 5993, 20478, 2557, 269, 3557, 9204, 949, 4019, 547, 707, 1931, 269, 661, 17733, 2232, 2838, 547, 1569, 707, 2272, 543, 4759, 2640, 2228, 269, 1284, 786, 711, 2671, 707, 552, 17733, 2232, 609, 4896, 269, 8437, 1934, 281, 476, 8940, 4877, 1861, 338, 2593, 270, 1440, 643, 2329, 547, 2070, 938, 7834, 3609, 269, 6904, 540, 519, 1739, 568, 3020, 2687, 547, 519, 740, 888, 288, 269, 8307, 1269, 1321, 568, 547, 581, 6976, 585, 476, 2190, 2152, 540, 519, 12139, 454, 289, 269, 22419, 666, 1205, 513, 1863, 2709, 540, 519, 12139, 1022, 942, 540, 519, 1032, 454, 290, 269, 22419, 689, 782, 936, 519, 1158, 666, 2972, 519, 1863, 2709, 454, 291, 269, 22419, 666, 5968, 3068, 547, 3068, 609, 1126, 4966, 593, 519, 5769, 454, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 595, 3201, 1982, 538, 3446, 476, 275, 267, 1247, 3446, 476, 276, 1053, 538, 1895, 589, 272, 289, 272, 1185, 2760, 1044, 6534, 547, 519, 595, 3201, 1982, 269, 1284, 941, 2111, 547, 3950, 513, 8101, 6824, 540, 891, 1453, 269, 634, 1140, 761, 542, 3928, 267, 4080, 538, 14465, 518, 329, 2465, 1696, 620, 269, 476, 568, 1152, 476, 736, 9077, 1312, 585, 2126, 543, 6476, 1453, 267, 543, 519, 840, 23150, 8464, 540, 519, 1140, 761, 832, 568, 2147, 547, 602, 540, 519, 1875, 31281, 761, 832, 269, 2051, 8435, 476, 275, 547, 476, 277, 540, 7305, 966, 7447, 513, 884, 857, 16667, 322, 566, 2147, 547, 3830, 630, 272, 1070, 1210, 519, 1019, 23807, 478, 2397, 1063, 519, 476, 1220, 275, 2022, 1449, 543, 519, 476, 1220, 273, 5910, 652, 607, 519, 8200, 4756, 267, 543, 9013, 585, 476, 1220, 273, 840, 23150, 8464, 269, 634, 2450, 540, 519, 552, 23807, 478, 31637, 8813, 15186, 543, 8197, 267, 585, 519, 536, 1023, 752, 6062, 1982, 267, 519, 3328, 552, 23807, 478, 624, 3587, 1202, 793, 328, 16667, 322, 656, 269, 1717, 267, 519, 552, 23807, 478, 624, 585, 519, 5377, 3791, 540, 519, 1453, 267, 945, 941, 1034, 2693, 547, 723, 6170, 942, 609, 519, 536, 1023, 752, 6062, 543, 585, 7247, 519, 552, 23807, 478, 624, 729, 7620, 519, 4102, 267, 3788, 1129, 328, 16667, 322, 656, 267, 543, 568, 1472, 476, 271, 269, 1015, 3044, 24017, 1312, 585, 2979, 543, 1893, 269, 1280, 519, 595, 3201, 1982, 267, 519, 552, 23807, 478, 624, 593, 2979, 849, 8813, 630, 1729, 827, 476, 271, 269, 6021, 3044, 476, 1691, 11539, 585, 519, 2898, 3732, 1070, 855, 568, 1869, 1129, 328, 16667, 322, 656, 267, 593, 3328, 543, 585, 519, 5377, 3791, 269, 898, 568, 711, 3833, 2312, 875, 891, 2164, 1058, 581, 14648, 269, 2201, 519, 835, 1688, 267, 519, 1249, 602, 267, 835, 1032, 1310, 1312, 3292, 267, 1346, 945, 9785, 16667, 1540, 519, 1034, 689, 873, 616, 1869, 476, 271, 269, 1015, 3044, 24017, 6619, 540, 1346, 945, 1705, 711, 267, 568, 8716, 269, 1358, 949, 723, 19927, 1945, 602, 814, 513, 9434, 1764, 593, 741, 1702, 269, 2201, 519, 824, 1688, 267, 519, 2557, 540, 9178, 936, 891, 1079, 1296, 568, 4028, 281, 952, 519, 9178, 4797, 693, 713, 2557, 267, 519, 6304, 1131, 1360, 4166, 723, 1185, 1100, 9434, 1764, 269, 2290, 2009, 7664, 568, 602, 519, 2333, 540, 476, 271, 269, 1015, 3044, 11539, 14687, 547, 519, 968, 9418, 892, 1764, 540, 519, 1982, 267, 543, 519, 14230, 540, 519, 1019, 23807, 478, 2397, 729, 1813, 513, 1098, 7480, 2333, 1813, 547, 2110, 2165, 6454, 538, 1702, 630, 7474, 729, 13604, 16618, 1070, 6454, 538, 1449, 2921, 2702, 267, 610, 513, 8316, 25079, 552, 23807, 478, 624, 630, 1721, 1383, 267, 1453, 6534, 547, 519, 536, 1023, 752, 6062, 610, 547, 5904, 949, 1745, 18507, 543, 25997, 547, 11851, 741, 1655, 552, 23807, 478, 677, 1247, 2921, 519, 1449, 1040, 6271, 7664, 1223, 581, 602, 1022, 5413, 538, 2474, 540, 1565, 602, 891, 1453, 1185, 936, 519, 1453, 538, 519, 6476, 1895, 4991, 32761, 539, 676, 519, 669, 9506, 602, 23366, 4523, 607, 519, 1453, 1332, 4587, 269, 12344, 519, 1152, 1259, 547, 11677, 519, 12374, 568, 547, 7683, 12927, 1007, 1565, 32737, 649, 4718, 538, 7305, 8633, 267, 538, 29180, 267, 519, 12374, 6414, 543, 15921, 3634, 950, 519, 6304, 568, 13455, 269, 634, 1152, 1259, 547, 2626, 713, 2243, 1131, 581, 547, 3136, 547, 1246, 891, 1453, 269, 10251, 267, 713, 3587, 1454, 811, 1019, 23807, 481, 322, 738, 2899, 789, 723, 2451, 519, 3119, 1153, 1141, 789, 6594, 1282, 519, 1982, 269, 1284, 18562, 798, 20053, 547, 3950, 873, 1524, 538, 513, 1906, 1296, 267, 547, 1353, 741, 1279, 2165, 5042, 5759, 607, 1134, 607, 2069, 543, 4074, 2344, 4093, 269, 898, 568, 1019, 23807, 481, 322, 738, 547, 5635, 891, 2164, 547, 824, 20241, 540, 2069, 3292, 538, 3384, 2477, 1317, 1360, 1906, 3950, 1524, 1453, 835, 1032, 1310, 789, 11074, 1373, 6534, 547, 519, 1982, 269, 5565, 8037, 17756, 616, 717, 548, 342, 933, 267, 594, 2993, 553, 267, 543, 918, 516, 1067, 476, 543, 918, 516, 1067, 267, 20353, 3241, 267, 543, 18897, 660, 517, 1547, 717, 548, 342, 933, 267, 594, 2993, 553, 267, 543, 918, 516, 1067, 476, 6218, 519, 552, 23807, 478, 31637, 540, 1449, 6060, 1759, 15314, 585, 3610, 543, 1336, 602, 538, 519, 2110, 3856, 971, 15314, 19430, 3610, 547, 1683, 811, 1449, 7041, 7886, 267, 1498, 741, 552, 23807, 478, 677, 1377, 1705, 711, 1689, 538, 1022, 824, 28507, 7516, 269, 901, 4116, 552, 23807, 478, 677, 2799, 1449, 8464, 7620, 267, 855, 891, 4679, 941, 711, 13455, 1079, 1296, 1310, 519, 1982, 269, 918, 516, 1067, 267, 20353, 3241, 267, 543, 18897, 660, 517, 476, 1413, 693, 519, 3476, 3856, 552, 23807, 478, 31637, 540, 1449, 1606, 14537, 1759, 25689, 585, 6690, 269, 1358, 19509, 526, 602, 519, 1982, 3361, 6690, 685, 1449, 8464, 547, 2333, 676, 827, 513, 476, 271, 269, 2764, 3044, 24017, 538, 835, 540, 519, 13102, 4988, 476, 1428, 676, 741, 1353, 538, 519, 1032, 538, 799, 519, 6690, 4309, 519, 2126, 267, 543, 602, 713, 552, 23807, 478, 624, 30174, 835, 1032, 1310, 519, 1439, 540, 519, 1982, 269, 1717, 267, 519, 3355, 1764, 593, 8695, 630, 6518, 729, 3592, 607, 1804, 607, 602, 585, 6690, 264, 9178, 539, 269, 14171, 891, 2164, 1927, 267, 513, 2312, 29943, 585, 2104, 2090, 568, 602, 649, 991, 547, 1732, 1174, 1018, 1118, 1982, 552, 23807, 478, 31637, 14463, 269, 17886, 269, 18738, 519, 13340, 281, 6034, 543, 1473, 1311, 661, 23807, 478, 31637, 634, 552, 23807, 478, 31637, 540, 519, 536, 1023, 752, 6062, 1982, 267, 4080, 1657, 267, 616, 519, 552, 23807, 478, 31637, 540, 2348, 1044, 8655, 547, 513, 4928, 602, 729, 3769, 538, 519, 536, 1023, 752, 6062, 1982, 269, 1306, 971, 267, 621, 598, 23807, 480, 919, 1079, 552, 23807, 478, 31637, 281, 634, 1982, 5732, 1185, 513, 1463, 1764, 593, 519, 1453, 945, 941, 8655, 547, 960, 609, 519, 536, 1023, 752, 6062, 282, 621, 849, 1223, 723, 1185, 606, 9940, 1764, 593, 519, 1453, 945, 941, 2451, 3297, 538, 519, 4928, 267, 1312, 998, 513, 5786, 538, 519, 1297, 540, 1053, 538, 519, 1362, 630, 320, 1362, 2450, 552, 23807, 478, 624, 1070, 543, 676, 9427, 519, 21260, 1453, 689, 519, 4055, 267, 799, 1223, 1689, 1362, 268, 3336, 6384, 630, 320, 9263, 552, 23807, 478, 624, 1040, 1306, 649, 4718, 1657, 267, 4057, 3355, 6060, 3464, 267, 945, 10805, 519, 4102, 12374, 267, 941, 849, 1034, 2693, 547, 581, 2366, 547, 519, 536, 1023, 752, 6062, 269, 7612, 594, 13602, 519, 1019, 23807, 478, 2397, 538, 1449, 1606, 14537, 2744, 1063, 2126, 543, 6476, 1053, 630, 1492, 4396, 1899, 264, 543, 519, 5506, 540, 513, 2126, 1126, 1373, 2366, 547, 519, 536, 1023, 752, 6062, 538, 1032, 476, 273, 630, 1492, 546, 14414, 1899, 264, 607, 513, 1599, 540, 519, 3355, 840, 23150, 8464, 269, 1321, 634, 1449, 6060, 2744, 2408, 547, 3950, 5702, 519, 5506, 540, 7084, 547, 519, 536, 1023, 752, 6062, 269, 901, 5267, 602, 519, 552, 23807, 478, 624, 540, 519, 1982, 949, 723, 1044, 5631, 1813, 547, 1453, 945, 941, 2366, 547, 519, 536, 1023, 752, 6062, 267, 2864, 982, 547, 21383, 1478, 552, 23807, 478, 31637, 593, 519, 824, 3283, 269, 589, 269, 18926, 17563, 634, 4998, 4603, 547, 5094, 519, 1463, 543, 9940, 552, 23807, 478, 31637, 540, 1121, 539, 658, 2069, 1131, 723, 1044, 547, 2697, 519, 1453, 945, 1131, 723, 1044, 8655, 547, 960, 609, 519, 536, 1023, 752, 6062, 538, 782, 3506, 267, 1354, 14477, 26471, 519, 3506, 547, 2126, 543, 6476, 2516, 269, 634, 536, 1023, 752, 6062, 552, 23807, 478, 624, 1223, 1287, 723, 1044, 6059, 676, 9236, 1453, 11280, 585, 519, 536, 1023, 752, 6062, 538, 519, 2126, 1895, 609, 741, 9905, 538, 519, 6476, 1895, 269, 634, 9940, 552, 23807, 478, 624, 1131, 723, 1044, 6059, 676, 9236, 519, 1453, 945, 941, 711, 693, 1981, 540, 2324, 609, 519, 536, 1023, 752, 6062, 538, 519, 2126, 543, 519, 6476, 1895, 269, 10251, 267, 713, 1374, 729, 711, 15164, 538, 713, 476, 1626, 4259, 267, 2094, 3610, 941, 711, 5423, 547, 3651, 519, 1453, 538, 519, 7493, 267, 1510, 6616, 2436, 610, 711, 789, 941, 2469, 547, 1205, 513, 536, 1023, 752, 6062, 269, 1677, 771, 550, 4120, 891, 1079, 552, 23807, 478, 624, 538, 519, 9000, 540, 713, 4603, 267, 649, 946, 519, 10567, 5506, 540, 513, 1126, 1373, 8655, 547, 519, 536, 1023, 752, 6062, 538, 2126, 3506, 607, 606, 6293, 585, 4890, 7084, 269, 1284, 1376, 676, 17782, 513, 1126, 779, 7084, 607, 513, 5236, 361, 480, 1410, 1043, 1599, 540, 1010, 610, 1200, 6060, 538, 519, 840, 23150, 6060, 3892, 281, 1724, 476, 273, 476, 274, 476, 275, 623, 6359, 326, 815, 630, 11027, 271, 1341, 12631, 272, 586, 6359, 326, 303, 11555, 1341, 12631, 273, 586, 6359, 326, 303, 11555, 1341, 12631, 274, 586, 6359, 326, 303, 11555, 1341, 12631, 275, 586, 6359, 326, 303, 11555, 3738, 3980, 501, 30622, 326, 1341, 28911, 6359, 326, 2073, 630, 273, 264, 1141, 623, 6359, 326, 568, 513, 546, 16244, 10834, 602, 519, 1126, 729, 8655, 547, 519, 1982, 630, 328, 4318, 1421, 5249, 609, 519, 536, 1023, 752, 6062, 1070, 586, 6359, 326, 303, 11555, 568, 519, 1126, 779, 5910, 652, 6060, 543, 30622, 326, 568, 519, 546, 16244, 632, 16667, 2740, 1657, 267, 799, 568, 3160, 547, 476, 272, 952, 1153, 795, 4607, 513, 536, 1023, 752, 6062, 538, 519, 1126, 779, 3446, 575, 267, 543, 476, 271, 6382, 269, 476, 273, 476, 274, 476, 275, 9324, 1774, 676, 631, 6359, 326, 519, 6152, 1496, 272, 267, 586, 6359, 326, 303, 11555, 2073, 586, 6359, 326, 303, 11555, 2073, 586, 6359, 326, 303, 11555, 2073, 586, 6359, 326, 303, 11555, 476, 4940, 1284, 1287, 7447, 875, 519, 2126, 552, 23807, 478, 624, 9775, 607, 513, 1599, 540, 519, 1482, 4632, 281, 630, 274, 264, 586, 6359, 326, 303, 744, 4306, 6567, 586, 6359, 326, 303, 11555, 815, 631, 6359, 326, 18494, 1341, 630, 291, 329, 326, 3980, 501, 631, 6359, 326, 3738, 382, 369, 1341, 1775, 329, 326, 1547, 17817, 630, 273, 264, 543, 630, 274, 264, 1106, 519, 19509, 337, 560, 3942, 543, 519, 4389, 1106, 267, 6606, 267, 540, 519, 1739, 7293, 1106, 3830, 281, 630, 275, 264, 586, 6359, 326, 303, 744, 4306, 6567, 586, 6359, 326, 303, 11555, 815, 29339, 291, 329, 326, 1341, 26018, 623, 6359, 326, 1341, 631, 6359, 326, 14668, 1341, 1775, 329, 326, 2073, 799, 649, 1287, 7447, 609, 606, 10001, 9695, 1210, 631, 6359, 326, 2073, 30622, 326, 543, 30622, 326, 3980, 501, 631, 6359, 326, 607, 7405, 269, 634, 8107, 23807, 481, 857, 757, 540, 1719, 616, 29339, 267, 799, 3947, 519, 1764, 540, 1373, 538, 513, 536, 1023, 752, 6062, 1153, 855, 711, 1373, 8655, 547, 519, 536, 1023, 752, 6062, 630, 1492, 9940, 552, 23807, 478, 624, 1070, 543, 26018, 267, 799, 3947, 721, 519, 1764, 540, 2324, 609, 519, 536, 1023, 752, 6062, 267, 936, 543, 1657, 519, 552, 23807, 478, 624, 540, 1373, 538, 513, 536, 1023, 752, 6062, 1153, 630, 16483, 568, 519, 1463, 552, 23807, 478, 624, 1040, 901, 4640, 12346, 593, 519, 13429, 602, 519, 9940, 2126, 552, 23807, 478, 624, 540, 519, 1982, 630, 24556, 264, 1281, 711, 4268, 609, 519, 1126, 779, 6060, 538, 519, 3355, 1449, 6060, 3892, 630, 328, 4318, 269, 602, 30622, 326, 3980, 501, 631, 6359, 326, 666, 581, 16934, 689, 519, 7293, 3830, 1040, 1677, 1294, 713, 267, 8263, 585, 1383, 602, 519, 9940, 2126, 552, 23807, 478, 624, 17379, 609, 3355, 1449, 8464, 538, 513, 1259, 602, 4010, 27424, 875, 519, 7084, 5506, 2242, 609, 519, 1449, 6060, 269, 769, 602, 2013, 649, 1131, 19451, 569, 14487, 713, 19394, 4806, 547, 519, 1463, 552, 23807, 478, 624, 269, 476, 1704, 769, 3830, 630, 275, 264, 649, 723, 267, 538, 1840, 267, 10924, 602, 519, 1463, 552, 23807, 478, 624, 1281, 711, 4096, 593, 519, 1126, 779, 1449, 6060, 281, 901, 13429, 5187, 328, 16667, 525, 519, 1163, 3789, 855, 568, 711, 2877, 585, 1541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 556, 539, 1496, 29994, 316, 543, 1627, 563, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 272, 556, 539, 547, 1627, 815, 476, 13040, 1626, 1627, 454, 273, 556, 539, 547, 1627, 815, 476, 20969, 3953, 1627, 454, 274, 556, 539, 547, 1627, 815, 476, 25834, 4366, 1627, 454, 275, 556, 539, 547, 1627, 815, 476, 275, 2764, 5038, 1627, 454, 276, 556, 539, 547, 1627, 815, 476, 276, 3374, 3199, 1627, 454, 277, 556, 539, 547, 1627, 815, 476, 5038, 273, 9834, 1627, 454, 278, 556, 539, 547, 1627, 815, 476, 16020, 1321, 1627, 454, 279, 556, 539, 547, 1627, 815, 476, 5952, 278, 2764, 1627, 454, 280, 556, 539, 547, 1627, 815, 476, 280, 5038, 4510, 1627, 454, 1015, 556, 539, 547, 1627, 815, 476, 13040, 8182, 1627, 454, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 1627, 547, 556, 539, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 1692, 12655, 3657, 590, 928, 5474, 286, 634, 7025, 8177, 540, 590, 928, 6033, 13870, 454, 15578, 27334, 289, 2177, 29332, 5588, 11266, 19860, 5508, 19301, 12788, 298, 2207, 11550, 27021, 454, 306, 928, 6033, 2504, 568, 24215, 3327, 14021, 267, 8051, 585, 476, 272, 269, 275, 260, 540, 519, 2518, 8511, 3154, 5434, 267, 799, 568, 1713, 2016, 602, 2011, 2951, 568, 3743, 585, 476, 273, 269, 276, 2600, 540, 782, 5434, 563, 288, 1353, 5342, 676, 20037, 1336, 602, 513, 6093, 6292, 540, 4881, 10887, 12958, 5111, 476, 1724, 269, 277, 13532, 540, 2910, 8975, 480, 5434, 269, 968, 4462, 17141, 1164, 585, 513, 1587, 602, 1281, 711, 946, 5201, 610, 2154, 1379, 28391, 3334, 892, 8292, 11969, 20462, 17340, 7798, 267, 835, 540, 519, 1071, 22052, 4243, 540, 519, 1382, 269, 634, 13557, 540, 891, 5434, 2097, 689, 5663, 267, 799, 568, 5667, 584, 19828, 6236, 519, 2504, 3157, 543, 2326, 3238, 563, 763, 5354, 540, 14229, 5474, 616, 2392, 7631, 2299, 29959, 689, 5068, 543, 5924, 5068, 6438, 2326, 269, 2353, 891, 19386, 23402, 15229, 630, 335, 8432, 6856, 267, 5687, 31129, 4874, 675, 628, 2033, 630, 9143, 308, 1070, 4874, 26120, 512, 699, 20953, 622, 630, 303, 4953, 264, 543, 2802, 22005, 8686, 514, 2643, 21449, 622, 630, 14110, 288, 264, 3132, 24034, 2338, 540, 3327, 8166, 563, 17928, 12788, 298, 2207, 28960, 19851, 23802, 667, 7968, 21715, 9970, 10396, 12813, 3008, 12087, 454, 3963, 568, 621, 865, 2352, 547, 1847, 2476, 689, 519, 946, 540, 5068, 286, 25392, 602, 14229, 5474, 723, 547, 22036, 1454, 811, 982, 513, 2834, 6292, 540, 10887, 267, 519, 15006, 2460, 568, 1360, 1271, 543, 950, 621, 2501, 547, 2773, 267, 19890, 267, 10991, 2326, 3180, 909, 1732, 982, 2067, 3283, 269, 21311, 814, 1500, 10887, 1732, 267, 14402, 267, 5488, 267, 811, 6899, 267, 543, 811, 3015, 547, 3025, 5001, 269, 1809, 1776, 3364, 568, 602, 1034, 10887, 616, 1500, 1210, 513, 4999, 540, 1114, 15229, 588, 17097, 543, 1350, 4240, 538, 513, 1360, 7294, 2081, 1818, 873, 1360, 2182, 547, 22120, 269, 1306, 519, 2278, 540, 519, 2817, 22127, 2376, 1767, 281, 2048, 763, 7182, 540, 5068, 9657, 616, 4867, 3833, 2182, 269, 898, 3217, 1648, 547, 2445, 519, 2326, 267, 1121, 820, 873, 883, 741, 2034, 6228, 543, 538, 1082, 2665, 267, 602, 2034, 1272, 568, 741, 2063, 267, 865, 9657, 11498, 519, 1184, 855, 3085, 1406, 4194, 519, 5817, 1966, 19028, 20062, 2969, 11298, 19836, 3198, 9169, 11298, 9215, 5084, 11403, 8577, 5990, 7644, 13673, 309, 7644, 2177, 16774, 3201, 29313, 16898, 888, 10527, 31321, 2872, 568, 693, 2547, 476, 1015, 1296, 3297, 519, 1964, 540, 6752, 538, 2474, 540, 1480, 2924, 543, 2825, 4441, 2223, 3081, 570, 753, 344, 670, 657, 9469, 267, 2278, 540, 519, 1433, 14272, 4518, 281, 1548, 2659, 1744, 3996, 616, 23560, 547, 519, 2622, 563, 278, 856, 540, 476, 1015, 12478, 616, 2348, 5717, 593, 6940, 267, 2943, 1152, 476, 272, 538, 476, 274, 3549, 723, 513, 6940, 1982, 538, 1747, 269, 8262, 2872, 5716, 630, 7945, 607, 1520, 573, 553, 543, 715, 833, 264, 543, 930, 4130, 10297, 630, 5472, 18346, 267, 26890, 10937, 585, 1383, 264, 616, 3843, 547, 2569, 741, 3327, 11640, 538, 1114, 2081, 267, 581, 621, 998, 5663, 3157, 610, 1570, 10124, 563, 1103, 476, 1001, 276, 267, 1520, 573, 553, 2319, 539, 909, 609, 2825, 11036, 3474, 2917, 585, 519, 744, 10895, 547, 5305, 519, 1101, 2773, 21489, 609, 606, 5580, 1500, 689, 7286, 5068, 3653, 543, 2620, 5498, 320, 575, 650, 26506, 630, 325, 5109, 24437, 602, 616, 8288, 19794, 865, 602, 3165, 1205, 16290, 676, 741, 575, 1571, 5148, 769, 476, 1001, 279, 267, 715, 833, 729, 18931, 676, 7956, 850, 16510, 607, 519, 6216, 1210, 519, 1034, 13381, 4874, 6856, 538, 519, 2872, 585, 519, 15795, 1032, 538, 513, 4737, 282, 689, 476, 1001, 271, 268, 1001, 279, 267, 519, 6216, 5828, 476, 277, 269, 275, 5479, 5068, 1216, 14569, 883, 31321, 610, 813, 28328, 269, 715, 833, 568, 849, 26378, 7791, 1648, 2959, 585, 922, 15327, 543, 17935, 585, 3327, 29591, 563, 288, 4264, 21489, 6216, 2353, 18346, 814, 13175, 5356, 513, 3327, 11640, 1293, 585, 1169, 21489, 538, 922, 4015, 630, 7474, 9623, 568, 2139, 547, 5561, 2228, 1040, 22702, 547, 513, 3044, 6292, 540, 2367, 779, 4881, 10887, 1500, 609, 10991, 2326, 267, 2353, 18346, 685, 4528, 7472, 5176, 1447, 982, 3368, 540, 519, 3327, 5434, 267, 2687, 547, 922, 9273, 563, 20062, 2969, 27114, 25723, 11298, 6789, 12164, 306, 9331, 8991, 888, 8256, 18790, 602, 2673, 547, 476, 1839, 5479, 8424, 540, 10887, 941, 3812, 5001, 538, 519, 2063, 1032, 267, 621, 568, 2312, 602, 7525, 2962, 568, 1898, 267, 711, 18593, 269, 476, 1708, 271, 568, 513, 1032, 540, 513, 3978, 1689, 543, 621, 568, 1250, 4126, 602, 649, 786, 28196, 710, 938, 2078, 609, 6752, 543, 1589, 827, 519, 2825, 1764, 540, 938, 10918, 6208, 563, 309, 1774, 609, 938, 2724, 585, 519, 2853, 543, 2504, 602, 596, 1489, 267, 3442, 12478, 602, 946, 513, 4999, 540, 2067, 543, 13381, 2326, 538, 741, 2504, 543, 616, 8149, 547, 4227, 741, 2825, 1764, 269, 1656, 2648, 938, 14229, 5474, 267, 899, 519, 1434, 2828, 789, 616, 269, 0, 11321, 13453, 1234, 573, 14301, 267, 476, 1708, 271, 268, 4905, 268, 1789, 476, 6860, 281, 6812, 281, 876, 269, 10670, 2324, 609, 519, 5022, 547, 17492, 1913, 543, 5220, 1310, 596, 1745, 596, 2461, 31402, 538, 519, 6196, 2296, 2511, 269, 8745, 6272, 616, 606, 5140, 1259, 547, 1376, 519, 1032, 269, 14301, 5546, 568, 849, 519, 1360, 1101, 1900, 538, 23115, 856, 875, 547, 2721, 269, 21561, 707, 1688, 952, 596, 3494, 782, 4778, 786, 581, 8449, 16602, 547, 3605, 269, 634, 1271, 3364, 568, 547, 1694, 1524, 609, 873, 543, 4001, 950, 1141, 789, 786, 991, 547, 2681, 610, 2721, 865, 789, 666, 2965, 1174, 519, 1935, 563, 289, 996, 1415, 20242, 9469, 14301, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 6021, 269, 1703, 616, 513, 1297, 540, 2081, 547, 5000, 543, 948, 707, 4819, 547, 1451, 827, 5546, 269, 589, 4819, 666, 581, 11259, 547, 2259, 1317, 930, 6263, 2242, 616, 1898, 547, 11886, 519, 4170, 540, 519, 4819, 269, 1261, 610, 1352, 2115, 547, 723, 2575, 14242, 543, 4598, 269, 5753, 1616, 547, 1451, 519, 4408, 540, 5546, 865, 789, 666, 2697, 873, 8231, 958, 543, 538, 1603, 543, 5635, 519, 3875, 5546, 543, 519, 1259, 789, 2461, 1031, 269, 570, 976, 540, 1453, 693, 2362, 5049, 666, 1406, 4308, 609, 519, 2604, 540, 2090, 2094, 789, 1810, 1406, 917, 519, 5730, 5650, 610, 1505, 540, 1565, 1317, 741, 9251, 1565, 729, 1360, 1454, 7344, 543, 20585, 563, 11321, 13453, 1234, 573, 14301, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 5400, 269, 1411, 616, 5461, 538, 4466, 519, 1360, 1655, 14440, 4116, 585, 707, 7911, 610, 8004, 269, 19227, 1453, 1522, 1745, 25922, 610, 29043, 269, 3509, 1453, 899, 547, 2721, 267, 543, 789, 616, 2111, 547, 7387, 856, 513, 2898, 2603, 540, 942, 5373, 269, 2755, 593, 519, 8265, 267, 789, 1831, 17237, 267, 865, 1810, 1406, 7340, 547, 4584, 930, 16152, 585, 873, 269, 10435, 2656, 12400, 568, 513, 8748, 1505, 547, 3636, 909, 707, 2634, 543, 3946, 585, 1022, 2186, 540, 1148, 6194, 269, 32279, 519, 6668, 540, 606, 2856, 729, 8200, 593, 519, 1915, 540, 519, 6881, 563, 291, 528, 1054, 320, 10011, 21034, 16974, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 5400, 269, 5457, 267, 952, 596, 2461, 7231, 609, 1713, 2790, 610, 3929, 2042, 267, 519, 3797, 786, 581, 811, 3532, 982, 7801, 21088, 269, 24664, 1176, 513, 2603, 540, 519, 1919, 596, 666, 798, 538, 1931, 547, 3136, 547, 1832, 707, 2681, 7524, 849, 7500, 547, 9718, 707, 4552, 689, 2417, 3441, 267, 543, 666, 948, 865, 1054, 513, 1297, 540, 519, 3614, 675, 1813, 547, 519, 7801, 5650, 269, 1703, 616, 6266, 540, 4025, 1141, 596, 616, 2111, 547, 3605, 4625, 1863, 2228, 7792, 7585, 519, 12706, 518, 7801, 3817, 585, 707, 1453, 563, 291, 541, 565, 2106, 31661, 518, 14301, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 6021, 269, 20551, 949, 5963, 1745, 513, 1880, 7553, 543, 7287, 547, 2769, 621, 676, 2870, 1945, 799, 1797, 1945, 547, 873, 269, 634, 7376, 568, 849, 18164, 827, 875, 519, 17114, 4268, 1759, 593, 519, 942, 540, 519, 9015, 267, 3226, 950, 5373, 513, 17855, 269, 769, 1114, 7239, 267, 2043, 3494, 602, 1148, 568, 513, 4759, 540, 1100, 835, 269, 31849, 540, 1004, 10990, 593, 519, 1655, 1259, 547, 5581, 1148, 563, 300, 1731, 6130, 320, 590, 1706, 802, 16974, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 6021, 269, 589, 2603, 540, 1453, 693, 2362, 5049, 3112, 1491, 1416, 540, 519, 2604, 540, 2090, 1813, 547, 519, 1249, 602, 789, 1810, 1406, 917, 519, 5730, 5650, 610, 1505, 540, 1565, 1317, 741, 9251, 1565, 729, 1360, 1454, 7344, 543, 20585, 269, 8866, 2965, 10508, 538, 1565, 689, 513, 1762, 2085, 267, 1152, 596, 1058, 1174, 875, 547, 4001, 873, 269, 634, 3214, 949, 711, 12446, 8521, 543, 2995, 596, 602, 789, 2461, 4466, 621, 2731, 4101, 547, 4990, 856, 741, 2042, 593, 741, 1378, 2094, 789, 616, 1932, 18901, 547, 3035, 602, 269, 1411, 1522, 1589, 621, 568, 25064, 267, 855, 3314, 789, 616, 1507, 3214, 267, 1018, 779, 2241, 585, 596, 1522, 581, 2352, 585, 873, 269, 1411, 723, 547, 723, 1187, 952, 596, 2461, 2469, 547, 6999, 547, 798, 621, 1586, 269, 5213, 1406, 18783, 1022, 6455, 267, 3314, 596, 616, 3274, 1603, 585, 1187, 256, 2060, 3388, 267, 596, 1058, 3314, 547, 723, 1187, 609, 707, 7911, 610, 8004, 563, 296, 1998, 2106, 20736, 534, 14301, 267, 476, 1708, 271, 268, 6349, 268, 1626, 476, 5881, 281, 1691, 281, 6021, 269, 1411, 2461, 2111, 547, 3717, 547, 519, 3214, 1739, 513, 1906, 3764, 950, 596, 4076, 1608, 4364, 1524, 543, 596, 3580, 581, 2111, 547, 2911, 5265, 547, 873, 269, 670, 11238, 519, 3214, 568, 1851, 519, 6859, 540, 513, 4116, 269, 1280, 1383, 267, 950, 789, 616, 4280, 547, 1118, 513, 13131, 1210, 10036, 543, 2721, 621, 2663, 789, 798, 621, 7168, 1134, 607, 789, 917, 602, 789, 616, 2838, 547, 1118, 6094, 3515, 547, 1118, 513, 13131, 1560, 269, 15020, 1762, 3214, 616, 1419, 9157, 547, 4383, 538, 8320, 1141, 789, 2461, 6026, 18005, 269, 1358, 616, 7099, 344, 267, 1491, 4063, 540, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 856, 707, 5098, 267, 1614, 4128, 267, 543, 5885, 3877, 269, 4841, 2347, 4845, 25690, 834, 2691, 594, 993, 1296, 2025, 1306, 513, 1267, 267, 16968, 7886, 5000, 1053, 547, 30075, 741, 1382, 543, 1287, 4188, 741, 946, 540, 9275, 267, 2854, 267, 543, 3308, 1893, 547, 3514, 519, 2115, 540, 513, 1880, 5304, 563, 16920, 778, 513, 5569, 547, 519, 1930, 1439, 563, 29493, 593, 12297, 1540, 1899, 547, 1106, 1614, 1166, 2355, 269, 7069, 5863, 2319, 10863, 543, 594, 1118, 1565, 2338, 1187, 676, 1210, 9954, 547, 4001, 519, 2953, 1297, 5250, 563, 2005, 849, 2731, 2337, 938, 1053, 1174, 4010, 875, 1142, 1297, 2115, 547, 581, 4646, 269, 16259, 547, 1376, 1153, 2274, 777, 5649, 518, 27973, 267, 5590, 267, 15206, 12857, 1453, 6502, 547, 2038, 7924, 267, 6128, 267, 2257, 543, 1514, 2090, 267, 1519, 811, 982, 476, 1015, 1883, 9656, 563, 305, 664, 11312, 4569, 10794, 910, 2052, 581, 1031, 547, 2689, 1840, 267, 12408, 267, 543, 5924, 8691, 269, 772, 3387, 20255, 681, 1506, 2719, 11314, 910, 11819, 14509, 513, 1650, 543, 1053, 1265, 519, 4605, 602, 1131, 2347, 519, 22565, 563, 297, 320, 830, 29885, 1767, 5988, 476, 2918, 267, 1677, 1733, 558, 898, 2904, 19634, 333, 281, 898, 568, 1250, 12257, 547, 2328, 513, 4484, 540, 16252, 585, 30960, 30338, 267, 1250, 8250, 779, 9656, 4116, 269, 594, 2328, 713, 4484, 607, 513, 2385, 543, 513, 8284, 4116, 538, 519, 9741, 2023, 5398, 3427, 10588, 563, 306, 4673, 568, 513, 9735, 4116, 543, 1909, 2203, 269, 4841, 2263, 519, 9135, 540, 19297, 267, 2689, 21141, 1603, 543, 3308, 1374, 267, 543, 1287, 1374, 16968, 14245, 547, 2671, 538, 1362, 610, 693, 513, 1153, 17253, 4023, 563, 13971, 476, 6021, 267, 5788, 589, 2706, 6653, 1071, 22086, 518, 630, 663, 5863, 3659, 14386, 540, 23600, 23564, 3446, 2157, 713, 1032, 543, 568, 3001, 909, 689, 1101, 547, 3791, 3446, 269, 2701, 4769, 1405, 1616, 547, 6529, 609, 1200, 1482, 6249, 267, 865, 1352, 23564, 547, 27568, 256, 12041, 281, 1855, 5446, 5455, 1677, 17546, 6185, 5877, 0, 763, 3310, 540, 942, 2188, 593, 519, 6384, 540, 887, 324, 13650, 21611, 609, 6472, 454, 268, 476, 18597, 20042, 454, 20245, 1235, 543, 8128, 3743, 585, 4155, 3106, 616, 3843, 547, 2569, 519, 1297, 540, 7320, 21611, 609, 6472, 630, 310, 20302, 264, 5001, 269, 681, 4141, 13650, 616, 519, 1034, 1455, 1804, 3662, 3238, 538, 654, 20302, 538, 2342, 269, 901, 2376, 11828, 519, 3892, 540, 476, 1001, 271, 7320, 268, 557, 327, 1834, 21611, 5473, 887, 324, 13650, 630, 310, 23623, 291, 264, 538, 26403, 807, 538, 476, 1001, 274, 543, 476, 1001, 275, 269, 634, 21611, 941, 9916, 538, 2474, 540, 10865, 543, 3232, 1239, 585, 1142, 3923, 14384, 267, 543, 519, 2164, 616, 3379, 609, 519, 942, 540, 3141, 23438, 543, 23863, 538, 26403, 807, 269, 1635, 7421, 3466, 540, 2067, 2188, 602, 3310, 519, 1297, 540, 21611, 649, 1397, 602, 519, 4908, 540, 654, 23623, 291, 568, 9244, 17047, 609, 12119, 543, 21496, 2242, 538, 3141, 23438, 543, 23863, 269, 901, 1382, 2982, 602, 891, 2067, 2188, 616, 5393, 1271, 585, 519, 6384, 540, 654, 23623, 291, 269, 8892, 2079, 540, 891, 2188, 543, 3498, 540, 3617, 23833, 3800, 1058, 3648, 2569, 519, 1981, 540, 16580, 1063, 6472, 543, 887, 324, 13650, 563, 21292, 27288, 5158, 21611, 5384, 2188, 10003, 29853, 15510, 6384, 454, 27288, 5158, 21611, 609, 6472, 630, 310, 20302, 264, 616, 606, 1271, 14227, 267, 4155, 3106, 267, 1480, 1072, 543, 3662, 10304, 1966, 630, 294, 10174, 5174, 745, 5407, 1074, 543, 670, 10270, 15842, 2131, 476, 1960, 277, 282, 25511, 5459, 1696, 620, 269, 476, 1220, 280, 282, 20717, 576, 543, 10067, 2292, 476, 1220, 272, 282, 7931, 2088, 543, 645, 24480, 8291, 476, 1960, 277, 1040, 1306, 513, 1267, 540, 891, 10913, 267, 1004, 949, 581, 7166, 610, 13676, 267, 1570, 4503, 543, 7320, 2338, 7771, 563, 305, 1933, 338, 11874, 1860, 2831, 538, 513, 1297, 540, 2081, 267, 543, 7320, 28896, 616, 835, 540, 741, 1034, 1271, 2942, 5222, 630, 299, 527, 9366, 4345, 543, 570, 1662, 476, 1220, 279, 282, 8055, 6261, 520, 1084, 543, 4793, 1084, 476, 1220, 279, 282, 12794, 662, 476, 1001, 273, 1040, 29853, 568, 835, 540, 519, 1292, 2188, 11874, 7133, 519, 11606, 540, 3662, 5095, 630, 290, 969, 1074, 320, 1696, 620, 269, 476, 1001, 276, 1040, 12207, 5431, 602, 9897, 616, 1360, 1271, 585, 519, 6617, 540, 3662, 9249, 267, 543, 609, 741, 2333, 267, 741, 2956, 786, 1152, 2333, 630, 8340, 26792, 543, 25816, 323, 1137, 476, 1220, 271, 282, 18582, 2125, 543, 1744, 18182, 476, 1220, 273, 1040, 769, 13785, 267, 585, 1383, 267, 654, 20302, 5012, 547, 513, 5786, 538, 3662, 5095, 676, 476, 272, 1700, 1321, 260, 630, 5353, 8814, 1696, 620, 269, 476, 1220, 275, 1916, 763, 9860, 540, 654, 20302, 568, 9244, 6766, 676, 1312, 27643, 543, 2067, 2188, 269, 634, 4908, 540, 21611, 609, 2831, 568, 2047, 1644, 547, 519, 8515, 540, 6808, 593, 9897, 267, 3976, 519, 5860, 540, 519, 4155, 3060, 568, 1271, 630, 291, 600, 541, 611, 543, 645, 2131, 12027, 476, 1220, 274, 1070, 607, 616, 1896, 2010, 540, 23833, 3800, 563, 763, 4908, 540, 930, 1804, 12845, 2711, 654, 20302, 568, 9244, 17047, 609, 741, 2551, 6384, 630, 25911, 25155, 807, 23677, 553, 476, 1220, 280, 1040, 654, 20302, 568, 849, 6766, 676, 519, 5251, 267, 4005, 1275, 267, 942, 540, 1554, 267, 4365, 2175, 543, 824, 2067, 2188, 630, 306, 852, 1696, 620, 269, 476, 1001, 275, 282, 1530, 334, 1696, 620, 269, 476, 1001, 276, 282, 700, 19660, 1696, 620, 269, 476, 1001, 277, 1916, 20332, 2825, 2188, 616, 1360, 1271, 585, 519, 6384, 540, 654, 20302, 267, 543, 2079, 540, 741, 3466, 1450, 835, 547, 18082, 543, 3589, 950, 543, 1141, 519, 6574, 1981, 540, 654, 20302, 4386, 630, 29878, 321, 731, 1696, 620, 269, 476, 1220, 271, 282, 5689, 334, 1696, 620, 269, 476, 1220, 275, 282, 1530, 8814, 476, 1220, 276, 1916, 10908, 984, 958, 267, 4155, 3106, 8128, 616, 3843, 547, 2569, 519, 9860, 540, 543, 3441, 1813, 547, 654, 20302, 269, 1677, 2232, 891, 2591, 267, 8128, 2154, 2143, 1344, 827, 654, 20302, 267, 1519, 13181, 543, 6325, 1239, 630, 294, 684, 5459, 1696, 620, 269, 476, 1220, 280, 282, 16176, 1696, 620, 269, 476, 1001, 275, 1916, 310, 20302, 616, 9916, 538, 1034, 2477, 998, 27861, 540, 1239, 540, 6808, 3106, 267, 547, 799, 7128, 3565, 676, 10655, 543, 7421, 1239, 543, 7114, 519, 1034, 5906, 9897, 267, 519, 865, 10777, 3905, 9634, 269, 15316, 23833, 3800, 616, 8045, 1759, 593, 519, 2164, 540, 891, 2079, 267, 971, 607, 8380, 909, 4191, 593, 5906, 21018, 540, 9897, 267, 16245, 532, 4155, 7496, 543, 824, 3742, 543, 12809, 4027, 3800, 602, 616, 2966, 547, 2569, 519, 4908, 540, 21611, 543, 25739, 3441, 630, 8967, 11839, 6199, 476, 1960, 279, 282, 595, 4582, 10152, 1696, 620, 269, 476, 1220, 272, 282, 13535, 6359, 338, 518, 1696, 620, 269, 476, 1220, 278, 282, 674, 1695, 3419, 543, 681, 12682, 342, 1231, 7288, 476, 1220, 280, 1040, 634, 10282, 540, 2067, 543, 8733, 1239, 849, 5512, 519, 8446, 540, 2127, 1141, 621, 568, 3617, 547, 3888, 1585, 2010, 540, 21271, 525, 547, 1450, 2831, 547, 9108, 3444, 9897, 543, 3976, 2569, 519, 2942, 1764, 540, 654, 20302, 593, 9265, 630, 12336, 17064, 15530, 345, 1696, 620, 269, 476, 1001, 273, 282, 5345, 1074, 476, 1220, 273, 282, 4813, 534, 1696, 620, 269, 476, 1220, 274, 282, 1530, 8814, 476, 1220, 275, 1040, 10705, 267, 12250, 1239, 593, 654, 20302, 616, 17077, 543, 2352, 547, 5659, 1317, 540, 519, 26610, 540, 1239, 5036, 267, 3668, 540, 8856, 267, 18621, 550, 1239, 4015, 267, 946, 540, 7294, 3656, 2474, 543, 3668, 540, 16169, 540, 4648, 945, 5531, 1344, 543, 11578, 13685, 630, 17556, 10719, 1696, 620, 269, 476, 1001, 275, 1040, 2353, 540, 713, 5540, 519, 2079, 540, 13685, 267, 799, 1813, 547, 6959, 267, 1281, 711, 2141, 1291, 547, 519, 6388, 540, 519, 1034, 2500, 23833, 3800, 563, 5226, 924, 1419, 519, 5542, 540, 23833, 3800, 543, 6388, 540, 891, 585, 654, 20302, 568, 3908, 547, 3905, 5544, 7403, 543, 2079, 630, 12336, 17064, 15530, 345, 1696, 620, 269, 476, 1001, 274, 1040, 15394, 3905, 9634, 616, 5462, 1759, 593, 8579, 3631, 602, 2708, 875, 519, 5251, 267, 6808, 543, 7320, 11606, 1860, 519, 2557, 540, 654, 20302, 630, 291, 3471, 543, 623, 7163, 476, 1001, 271, 282, 717, 2345, 1696, 620, 269, 476, 1220, 280, 282, 5689, 334, 1696, 620, 269, 476, 1220, 275, 282, 681, 2086, 1696, 620, 269, 476, 1220, 276, 282, 16176, 1696, 620, 269, 476, 1001, 275, 1040, 634, 2079, 540, 4025, 1141, 654, 20302, 568, 2356, 6592, 616, 519, 4493, 585, 519, 8446, 540, 2168, 2825, 2188, 602, 10460, 519, 6574, 1981, 547, 654, 20302, 4908, 269, 1717, 267, 713, 1935, 568, 711, 6190, 269, 634, 4908, 540, 654, 20302, 568, 6766, 676, 711, 1152, 2168, 2825, 2188, 855, 849, 676, 3662, 2623, 267, 543, 519, 3310, 593, 891, 540, 20296, 267, 12119, 543, 942, 540, 1554, 2188, 630, 2041, 24173, 13350, 640, 267, 3141, 23438, 3092, 4700, 630, 17556, 10719, 1696, 620, 269, 476, 1001, 275, 282, 1546, 966, 1845, 476, 1001, 276, 1916, 29209, 2831, 630, 1478, 476, 1789, 4846, 1070, 3335, 30900, 267, 616, 1034, 4749, 3238, 538, 21611, 609, 6472, 630, 3519, 1478, 1696, 620, 269, 476, 1960, 276, 282, 10925, 2006, 476, 1960, 278, 1040, 634, 1034, 11342, 1804, 9451, 24260, 2249, 3238, 538, 654, 20302, 616, 887, 324, 13650, 630, 22479, 516, 565, 639, 1698, 516, 565, 639, 1070, 1714, 330, 630, 290, 969, 639, 666, 611, 18424, 1070, 3552, 1630, 541, 630, 306, 639, 1085, 549, 17304, 264, 543, 1866, 4470, 593, 519, 2197, 538, 2243, 269, 8187, 1630, 541, 616, 3238, 538, 607, 1082, 607, 476, 4375, 260, 540, 10913, 538, 19934, 630, 5415, 331, 548, 1696, 620, 269, 476, 1001, 274, 1070, 1247, 538, 26403, 807, 654, 20302, 2356, 4125, 887, 324, 13650, 630, 310, 23623, 291, 1040, 769, 824, 3864, 2477, 654, 20302, 7194, 593, 2831, 2356, 4125, 1114, 2249, 267, 855, 616, 1869, 13856, 676, 887, 324, 13650, 267, 1714, 330, 267, 824, 13650, 2249, 267, 3552, 1630, 541, 543, 824, 1804, 11864, 563, 305, 4141, 13650, 630, 290, 269, 1698, 516, 565, 639, 264, 568, 519, 10545, 855, 1034, 1455, 13650, 2249, 538, 2342, 630, 25721, 3326, 517, 1470, 1696, 620, 269, 476, 1001, 271, 1040, 898, 568, 849, 835, 540, 519, 2249, 1034, 1419, 3238, 538, 10913, 609, 6517, 267, 543, 519, 1297, 540, 6808, 10913, 1519, 891, 2831, 538, 2487, 1296, 814, 2799, 630, 294, 10174, 5174, 745, 5407, 1074, 543, 670, 10270, 15842, 2131, 476, 1960, 277, 282, 18999, 2041, 514, 1696, 620, 269, 476, 1001, 272, 282, 1546, 966, 1845, 476, 1001, 276, 264, 538, 2342, 269, 769, 26403, 807, 10913, 1519, 887, 324, 13650, 849, 2099, 513, 2101, 851, 540, 519, 654, 20302, 2404, 609, 1804, 2831, 630, 25911, 25155, 807, 23677, 553, 476, 1220, 280, 282, 744, 20795, 7219, 529, 1696, 620, 269, 476, 1001, 274, 1040, 681, 4141, 13650, 21611, 609, 6808, 616, 2356, 14603, 547, 519, 2831, 269, 9282, 1004, 616, 10355, 7166, 538, 891, 4155, 10913, 267, 789, 1419, 1995, 1585, 5232, 540, 2168, 3441, 543, 824, 2360, 593, 741, 1072, 269, 7981, 1235, 723, 11117, 519, 3328, 2804, 2530, 1813, 547, 971, 21611, 547, 581, 827, 476, 5002, 271, 11366, 630, 21607, 2006, 1696, 620, 269, 476, 1220, 275, 1916, 305, 4141, 13650, 21611, 609, 6472, 616, 8185, 6766, 676, 12119, 8965, 4162, 630, 16567, 267, 9960, 543, 12093, 5712, 1040, 681, 4141, 13650, 2623, 2242, 7814, 1227, 1282, 519, 1032, 267, 799, 7506, 519, 2557, 540, 21611, 609, 6472, 269, 1703, 616, 1614, 8965, 3344, 540, 887, 324, 13650, 602, 949, 1860, 654, 20302, 269, 2755, 621, 568, 1634, 602, 887, 324, 13650, 723, 1808, 3232, 543, 12119, 19589, 540, 2238, 267, 741, 8965, 2242, 723, 1804, 15088, 543, 789, 1397, 1164, 13260, 538, 741, 2534, 18819, 630, 290, 1725, 18153, 1696, 620, 269, 476, 1001, 272, 282, 27405, 644, 476, 1960, 280, 1916, 9556, 1564, 593, 519, 12557, 540, 887, 324, 13650, 2534, 538, 741, 1272, 4783, 543, 5993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 5192, 1975, 344, 717, 611, 12033, 692, 7072, 912, 306, 6853, 19269, 723, 1044, 2442, 1242, 676, 1585, 3029, 540, 2923, 971, 607, 9413, 267, 7641, 2982, 267, 543, 2835, 269, 1452, 3457, 666, 581, 1031, 585, 13178, 267, 3354, 267, 610, 1175, 585, 1187, 269, 1717, 267, 13844, 22342, 19269, 3340, 6297, 7156, 1813, 547, 3656, 543, 5683, 6286, 269, 901, 3391, 786, 948, 596, 10536, 16048, 22342, 19269, 1247, 20170, 547, 2199, 4031, 543, 6042, 780, 3721, 476, 272, 281, 14419, 2659, 20126, 454, 20058, 267, 2697, 1946, 596, 991, 891, 19269, 269, 3657, 789, 585, 2123, 4027, 286, 24028, 11462, 5301, 286, 2107, 5310, 585, 9913, 286, 22548, 4328, 707, 15752, 5849, 602, 596, 3442, 3617, 2645, 1369, 3656, 6302, 780, 7659, 17785, 281, 11408, 2463, 1866, 262, 7834, 2924, 950, 1210, 1022, 1106, 540, 13178, 3937, 269, 1133, 17769, 838, 3539, 1223, 1291, 547, 4049, 4539, 1519, 7803, 10997, 780, 3721, 476, 273, 281, 3194, 10871, 16572, 454, 17843, 2477, 543, 2829, 723, 8795, 4031, 3823, 519, 6165, 540, 22342, 10591, 269, 1280, 3236, 267, 930, 4025, 1450, 6456, 12514, 855, 10238, 527, 8301, 10916, 1510, 9844, 269, 25800, 3054, 609, 891, 3652, 1354, 1818, 1022, 16306, 780, 28223, 281, 13693, 4013, 2229, 7270, 610, 5077, 609, 513, 3656, 3318, 952, 18516, 827, 1808, 9086, 780, 3721, 476, 274, 281, 10576, 4039, 4192, 4675, 11502, 454, 19617, 2730, 2228, 8637, 6133, 782, 5686, 540, 22342, 19269, 269, 1809, 711, 782, 616, 22973, 269, 6733, 585, 3964, 21625, 609, 2318, 6075, 8039, 267, 5150, 8569, 2409, 267, 543, 2312, 2132, 4507, 780, 7659, 17785, 281, 4858, 2738, 899, 1975, 344, 4889, 919, 267, 645, 4459, 5264, 8232, 267, 543, 661, 324, 767, 548, 2709, 1164, 7779, 2472, 20483, 676, 1434, 6075, 3028, 780, 3721, 476, 275, 281, 14424, 31245, 454, 303, 4631, 4268, 3648, 1851, 14273, 269, 1677, 1205, 519, 1655, 4308, 267, 5635, 5777, 689, 2789, 2959, 269, 5213, 1405, 7340, 547, 3815, 538, 11288, 3790, 543, 6765, 2053, 780, 28223, 281, 2142, 530, 776, 540, 5393, 10464, 9388, 282, 789, 949, 5815, 4057, 2298, 610, 1875, 1673, 601, 6116, 780, 3721, 476, 276, 281, 3367, 8605, 2677, 18587, 18897, 5699, 454, 6524, 9140, 267, 1224, 998, 1587, 11673, 5402, 269, 1358, 1058, 1683, 3877, 827, 2934, 267, 10342, 267, 17356, 267, 2039, 267, 3092, 269, 1403, 4376, 568, 15458, 267, 3346, 519, 22673, 585, 27792, 780, 7659, 17785, 281, 9796, 3007, 547, 6007, 1272, 543, 12123, 4170, 269, 2368, 19269, 1522, 2154, 7928, 556, 12737, 525, 799, 666, 581, 28842, 1304, 1282, 5106, 780, 3721, 476, 277, 281, 6744, 3281, 520, 2225, 630, 604, 10858, 994, 2252, 4058, 547, 11753, 707, 1007, 31942, 883, 606, 4540, 1062, 267, 2327, 922, 17356, 269, 3509, 2413, 3457, 1921, 3842, 15261, 19712, 610, 29402, 267, 865, 2638, 2436, 707, 1699, 14764, 7028, 713, 780, 3721, 476, 278, 281, 13760, 7799, 14591, 454, 10214, 519, 1034, 4359, 22342, 31942, 814, 7687, 269, 15870, 3950, 619, 666, 6336, 5365, 16280, 610, 896, 5230, 16714, 269, 6682, 10327, 949, 6560, 538, 1970, 1769, 2175, 269, 18833, 1018, 547, 2503, 11151, 29359, 2663, 593, 780, 3721, 476, 279, 281, 6657, 7743, 2422, 1299, 20904, 454, 5629, 12349, 267, 1451, 875, 547, 7500, 707, 3926, 7157, 269, 8617, 5826, 11498, 741, 14438, 543, 10607, 2773, 269, 5901, 873, 2973, 267, 4558, 9108, 267, 543, 5372, 9075, 5781, 780, 7659, 17785, 281, 28582, 547, 3593, 8261, 338, 585, 1697, 6165, 543, 1416, 5528, 780, 6962, 912, 10907, 638, 3931, 22342, 19269, 3322, 811, 982, 3274, 14467, 1412, 321, 8500, 8339, 1635, 1739, 713, 3102, 3391, 267, 596, 3513, 1439, 909, 609, 6325, 2645, 14018, 547, 707, 2115, 1247, 9363, 1369, 3656, 23451, 269, 5457, 267, 2141, 4225, 7881, 936, 7279, 910, 2523, 950, 7231, 609, 824, 1004, 781, 4357, 2729, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 1975, 344, 717, 611, 12033, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 769, 519, 14297, 2749, 540, 5507, 267, 9624, 2413, 1236, 903, 322, 1905, 619, 543, 3504, 21056, 267, 972, 729, 606, 796, 817, 11167, 2370, 1435, 3957, 834, 763, 623, 842, 543, 12815, 320, 1701, 898, 729, 1634, 585, 922, 3636, 5605, 4800, 267, 8949, 7969, 11951, 267, 543, 1034, 11932, 267, 13730, 7391, 827, 1585, 3584, 1851, 17137, 269, 7324, 873, 941, 1079, 2828, 910, 16092, 267, 513, 1762, 14971, 19784, 267, 543, 7665, 267, 513, 19023, 2964, 545, 945, 5249, 593, 17195, 6517, 780, 3080, 10543, 1310, 960, 267, 789, 2893, 1524, 1927, 936, 2848, 5446, 10824, 540, 838, 698, 515, 26152, 536, 860, 333, 3150, 269, 1306, 8912, 267, 519, 8613, 1657, 519, 3046, 1025, 1563, 856, 519, 5767, 24657, 689, 1114, 6688, 269, 22582, 267, 621, 9575, 741, 3007, 950, 519, 19671, 9307, 267, 834, 17954, 1136, 5240, 256, 634, 18917, 814, 688, 6150, 5722, 6066, 16754, 2290, 2622, 19598, 542, 11066, 16803, 607, 519, 1412, 15124, 652, 30905, 262, 540, 782, 942, 15323, 297, 600, 773, 10709, 539, 4464, 31113, 267, 4064, 575, 548, 5446, 609, 15131, 269, 1261, 5828, 2509, 7665, 267, 11235, 547, 5873, 1010, 4555, 269, 2991, 782, 267, 646, 12595, 7665, 781, 6644, 2016, 1010, 3573, 1995, 2324, 1472, 1164, 26024, 6472, 269, 1717, 267, 1354, 646, 1223, 1256, 2307, 267, 7665, 27615, 660, 539, 7106, 549, 1324, 569, 1247, 588, 629, 6883, 693, 1010, 1426, 780, 257, 6546, 781, 20060, 1619, 2437, 7665, 13626, 539, 267, 2921, 3025, 7404, 676, 9983, 269, 834, 1692, 666, 596, 5635, 10256, 2066, 5481, 286, 3962, 5736, 1185, 2189, 2591, 543, 4066, 3010, 14367, 1913, 8288, 5230, 538, 519, 2011, 267, 4929, 930, 9597, 332, 2720, 10838, 519, 824, 29123, 269, 1809, 16092, 7012, 1405, 15658, 1042, 282, 3079, 267, 646, 4718, 713, 607, 606, 4316, 547, 5490, 4514, 883, 1620, 674, 272, 1686, 543, 16614, 7521, 28972, 780, 3891, 9350, 569, 15527, 267, 834, 296, 1174, 1141, 596, 2811, 4947, 689, 267, 7665, 269, 5272, 22184, 1281, 723, 922, 15116, 885, 8197, 269, 12846, 267, 1810, 1405, 596, 1589, 11066, 16803, 15225, 11108, 5578, 543, 11007, 12482, 16655, 17328, 4310, 267, 1287, 21330, 19385, 14688, 269, 834, 8133, 267, 594, 798, 23507, 1010, 13007, 543, 11428, 269, 3807, 6999, 1004, 9327, 1405, 7914, 2786, 547, 21458, 2576, 607, 519, 1655, 2479, 1510, 6236, 2796, 3010, 5804, 741, 6643, 267, 1866, 3323, 11836, 538, 267, 4687, 741, 5784, 25678, 2943, 6612, 2299, 269, 2368, 11130, 602, 7194, 12038, 12531, 3823, 16803, 781, 10781, 267, 6466, 1866, 5156, 602, 9236, 10256, 1759, 17033, 593, 10643, 936, 13678, 680, 1881, 1919, 780, 2026, 519, 3781, 20595, 593, 267, 865, 1705, 519, 1377, 540, 11407, 21592, 1369, 519, 1435, 6821, 269, 4658, 3459, 16734, 875, 1454, 789, 4121, 689, 1142, 824, 5103, 2348, 17804, 8369, 269, 1358, 6956, 519, 2956, 540, 14344, 2250, 23543, 1247, 14120, 1699, 18517, 1107, 2436, 538, 5026, 610, 1022, 3802, 540, 1272, 780, 1103, 519, 1439, 267, 1018, 8604, 899, 513, 2241, 4661, 827, 513, 16546, 1636, 10828, 7960, 883, 513, 6209, 5385, 540, 2093, 543, 5380, 269, 1656, 3976, 2968, 1776, 12300, 3781, 693, 1412, 763, 623, 842, 543, 12815, 320, 3299, 19644, 676, 782, 1346, 1459, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 290, 1538, 528, 1125, 519, 1739, 3377, 2376, 883, 5026, 267, 6214, 267, 1870, 543, 9913, 563, 763, 18917, 814, 4080, 602, 5722, 6066, 16754, 476, 272, 1158, 22299, 11066, 16803, 568, 519, 834, 24030, 652, 9920, 257, 540, 782, 942, 563, 306, 7964, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 713, 3018, 781, 2257, 3408, 256, 4653, 267, 649, 786, 4685, 883, 519, 4241, 1158, 540, 1272, 9443, 543, 1451, 827, 1945, 1572, 1412, 1890, 743, 641, 2664, 553, 9538, 3767, 267, 594, 917, 1018, 596, 1522, 581, 3206, 910, 679, 9871, 2664, 553, 616, 1175, 2462, 267, 19309, 2835, 4904, 609, 6266, 540, 1344, 267, 1318, 286, 4270, 267, 602, 781, 13148, 3020, 267, 855, 972, 781, 865, 1454, 811, 547, 873, 982, 10742, 519, 3750, 256, 2913, 803, 2491, 780, 5331, 952, 596, 4941, 547, 1451, 3388, 972, 568, 547, 917, 827, 5243, 269, 1411, 1223, 1376, 676, 6998, 707, 3237, 610, 10478, 2228, 267, 855, 3006, 602, 1344, 666, 581, 31877, 269, 2334, 781, 1141, 679, 9871, 2664, 553, 2097, 538, 13561, 256, 1358, 616, 899, 2348, 606, 4274, 3659, 945, 814, 2907, 10356, 782, 519, 6325, 543, 4977, 1344, 593, 1585, 3584, 269, 1656, 950, 649, 2911, 827, 1272, 9443, 4481, 267, 835, 971, 5363, 4199, 568, 1634, 607, 519, 15610, 540, 5020, 7070, 630, 528, 552, 11862, 6393, 763, 552, 11862, 6227, 1082, 1114, 3344, 540, 2713, 7103, 1107, 2371, 267, 2831, 267, 17973, 267, 543, 1256, 8290, 256, 12207, 1353, 891, 7068, 1169, 2582, 1554, 1317, 1620, 875, 789, 2661, 267, 1332, 267, 16196, 267, 543, 2170, 609, 741, 1604, 2337, 721, 4194, 1483, 8996, 2042, 269, 1280, 3236, 267, 1565, 827, 2030, 2281, 949, 1291, 547, 8906, 538, 6683, 267, 4543, 6705, 3132, 1426, 811, 7561, 1247, 7863, 519, 4541, 269, 2107, 4974, 3662, 2623, 1522, 948, 3173, 1020, 1007, 2081, 547, 2087, 1480, 1072, 998, 2564, 5574, 780, 3086, 267, 1577, 781, 1589, 1394, 547, 938, 1383, 827, 5243, 269, 1403, 596, 6743, 909, 834, 323, 9233, 257, 538, 519, 552, 11862, 267, 596, 1131, 1265, 4930, 2854, 676, 4966, 8720, 3584, 971, 607, 2915, 7350, 267, 11976, 267, 4720, 267, 2623, 267, 543, 5726, 3646, 269, 901, 3102, 4015, 540, 1702, 2636, 4896, 5461, 538, 5243, 547, 1569, 22973, 1344, 3533, 543, 3362, 780, 3719, 7227, 256, 1548, 2306, 519, 552, 11862, 2189, 3379, 547, 824, 679, 9871, 2664, 553, 286, 4279, 2243, 256, 9521, 2757, 1820, 679, 9871, 2664, 553, 267, 799, 1831, 22573, 607, 4166, 607, 1007, 1382, 19674, 267, 519, 552, 11862, 568, 8242, 5781, 269, 6056, 540, 621, 607, 513, 2713, 267, 7244, 2707, 540, 1702, 2141, 3395, 543, 9687, 7258, 3621, 6602, 269, 9578, 267, 922, 3059, 3898, 1797, 3755, 5001, 666, 1569, 621, 20471, 267, 9170, 780, 1103, 5758, 267, 519, 15610, 540, 5020, 7070, 4249, 513, 2629, 1909, 538, 4687, 1699, 543, 4977, 1344, 827, 1585, 1272, 3029, 543, 2035, 1369, 519, 2361, 540, 7350, 269, 1635, 3246, 2653, 1569, 547, 17022, 1540, 2200, 267, 2645, 267, 543, 1239, 267, 3744, 543, 8049, 8186, 7567, 666, 15052, 741, 1620, 540, 938, 2067, 1158, 543, 3565, 547, 14262, 7760, 269, 1924, 1985, 942, 2576, 6645, 596, 602, 679, 9871, 2664, 553, 616, 2025, 1922, 5831, 539, 610, 20585, 267, 2671, 707, 16012, 7071, 585, 519, 2479, 21608, 1379, 5264, 540, 1702, 602, 568, 519, 552, 11862, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 1504, 5192, 2725, 4934, 2986, 3371, 281, 3733, 18401, 3245, 27079, 1467, 22226, 13081, 454, 292, 1504, 5192, 2725, 4934, 2986, 3371, 281, 3733, 18401, 3245, 27079, 1467, 22226, 13081, 454, 324, 1504, 5192, 2725, 4934, 540, 3371, 281, 3733, 18401, 689, 282, 16048, 1554, 547, 2347, 8876, 519, 2887, 543, 4320, 540, 32750, 693, 513, 17677, 21698, 676, 23664, 2023, 12814, 269, 5912, 856, 938, 5767, 2835, 269, 7384, 547, 1265, 13099, 320, 1063, 707, 6901, 610, 2061, 1459, 6377, 23673, 12139, 593, 519, 8286, 286, 6168, 17677, 21698, 2414, 721, 267, 513, 3735, 20569, 1471, 553, 1341, 9032, 277, 269, 476, 4375, 282, 20167, 626, 18152, 19545, 1185, 3135, 16873, 10645, 1631, 689, 476, 3199, 547, 476, 1911, 3609, 267, 1498, 1346, 3741, 729, 7053, 5941, 676, 2139, 30455, 585, 3860, 17055, 525, 269, 476, 4375, 282, 3864, 711, 4628, 538, 1063, 891, 3283 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1931, 585, 513, 4708, 14097, 547, 581, 3811, 538, 513, 4655, 602, 814, 2620, 268, 549, 6838, 2686, 3604, 267, 971, 607, 519, 4655, 538, 8832, 8581, 888, 1103, 513, 7184, 12082, 2686, 4655, 899, 8832, 8581, 267, 972, 616, 1896, 2686, 7496, 602, 991, 547, 581, 7753, 585, 513, 4708, 14097, 547, 581, 3811, 269, 1452, 7496, 1331, 1384, 272, 269, 8466, 543, 11572, 20212, 281, 769, 8832, 8581, 267, 835, 540, 519, 2101, 2686, 7496, 568, 519, 1279, 1686, 540, 2797, 543, 3909, 7526, 1063, 519, 15866, 17557, 9769, 1235, 543, 519, 15866, 7826, 3084, 1235, 269, 634, 4655, 814, 1044, 23185, 676, 32618, 3140, 20494, 341, 1734, 543, 18312, 2833, 540, 3961, 267, 2924, 267, 543, 5126, 780, 273, 269, 5678, 543, 9442, 31875, 281, 5678, 7496, 666, 849, 1711, 2686, 3604, 602, 991, 547, 581, 7753, 585, 513, 4708, 14097, 547, 581, 3811, 269, 1280, 1383, 267, 538, 8832, 8581, 267, 519, 9721, 1893, 568, 606, 1271, 2686, 1541, 604, 328, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25215, 2945, 281, 634, 679, 7950, 540, 968, 306, 344, 6929, 25048, 701, 4512, 454, 296, 1131, 899, 547, 2995, 513, 2370, 827, 835, 540, 519, 1034, 3504, 4683, 17260, 4092, 538, 27859, 267, 538, 1018, 568, 1631, 16850, 267, 9256, 513, 25167, 2749, 543, 513, 11454, 1950, 269, 9741, 568, 1634, 827, 621, 267, 4849, 602, 621, 568, 835, 540, 519, 1101, 4683, 7740, 602, 7153, 538, 5681, 518, 267, 543, 5310, 593, 519, 3003, 4541, 267, 4171, 6561, 621, 568, 1572, 269, 9521, 971, 4583, 4872, 540, 25196, 607, 7984, 267, 772, 745, 330, 267, 20698, 1662, 267, 700, 1513, 320, 267, 9129, 514, 267, 543, 1866, 267, 1100, 835, 1256, 16143, 540, 922, 6228, 269, 634, 6602, 540, 519, 968, 331, 739, 892, 2749, 267, 729, 1500, 5266, 5063, 267, 543, 519, 1570, 6659, 547, 519, 2627, 543, 6594, 568, 15069, 711, 2614, 547, 1118, 796, 25406, 5914, 8753, 269, 1809, 649, 666, 2161, 609, 22979, 602, 713, 568, 835, 540, 519, 1034, 1271, 6402, 538, 519, 1686, 540, 18495, 267, 799, 3459, 519, 5912, 689, 6694, 17260, 547, 2407, 1922, 1194, 3022, 4872, 563, 4415, 519, 1482, 6015, 649, 666, 2161, 602, 621, 568, 835, 540, 519, 1034, 12357, 540, 782, 519, 3504, 4683, 7740, 602, 723, 2479, 1044, 14155, 730, 676, 24085, 269, 898, 568, 4277, 602, 972, 568, 1100, 2446, 540, 621, 538, 5681, 518, 1014, 267, 13019, 330, 6598, 267, 20770, 1014, 267, 610, 28435, 6929, 5931, 267, 607, 952, 621, 1185, 2760, 11478, 269, 1809, 621, 568, 711, 606, 21903, 267, 711, 513, 4453, 618, 540, 2576, 779, 9345, 267, 621, 568, 3833, 513, 1483, 15456, 1843, 267, 543, 267, 32047, 267, 1134, 25535, 5703, 585, 811, 982, 476, 276, 8536, 1296, 269, 1717, 267, 2413, 3173, 917, 4986, 827, 621, 267, 1256, 922, 1483, 2012, 267, 607, 621, 568, 711, 5018, 538, 1022, 540, 519, 2854, 2959, 269, 1284, 616, 6158, 827, 519, 12357, 5681, 518, 1014, 2749, 267, 15007, 958, 1572, 676, 24085, 15681, 10609, 1794, 3534, 1107, 519, 2413, 8498, 7404, 269, 634, 8956, 540, 922, 6602, 12851, 547, 513, 1895, 540, 6739, 18840, 5505, 267, 945, 14155, 730, 519, 2749, 896, 519, 5583, 540, 7905, 681, 31348, 631, 4875, 2801, 341, 563, 306, 839, 1049, 1265, 602, 695, 809, 519, 3621, 1158, 454, 763, 8513, 1063, 519, 570, 580, 5142, 543, 519, 661, 25045, 6233, 8933, 568, 21230, 2808, 835, 540, 519, 4025, 1141, 10340, 3459, 543, 519, 1686, 540, 519, 3504, 1158, 3459, 269, 4706, 11944, 729, 1813, 547, 519, 11175, 538, 27859, 540, 519, 5681, 518, 2103, 267, 513, 12357, 1004, 945, 2813, 513, 524, 2317, 6134, 9904, 267, 799, 568, 2808, 519, 22660, 540, 782, 2413, 3283, 267, 543, 945, 3710, 519, 1101, 4872, 269, 1358, 2813, 1533, 21272, 609, 2312, 10350, 267, 741, 1378, 2528, 543, 4978, 269, 634, 3788, 540, 891, 1101, 2749, 32145, 941, 2016, 513, 1007, 1272, 538, 519, 2063, 476, 5611, 1296, 950, 519, 1034, 1271, 8906, 538, 519, 1686, 540, 1158, 18840, 1108, 941, 1500, 269, 1809, 19890, 9039, 540, 873, 814, 2479, 3177, 4267, 547, 519, 10578, 2243, 540, 945, 519, 5681, 518, 2103, 2731, 941, 267, 1141, 789, 3357, 689, 267, 855, 1034, 11932, 267, 1141, 789, 16668, 1702, 602, 729, 2484, 6619, 540, 922, 942, 563, 763, 1292, 1966, 568, 602, 782, 519, 14155, 730, 5681, 518, 1014, 4872, 941, 14605, 12873, 1317, 789, 941, 711, 3710, 540, 6149, 267, 799, 568, 1360, 17077, 538, 27859, 267, 855, 540, 6151, 20398, 269, 901, 1570, 568, 5393, 31877, 267, 6385, 14016, 908, 1256, 538, 519, 3819, 2916, 540, 4639, 5607, 267, 2523, 950, 621, 2501, 547, 519, 2627, 607, 513, 1267, 540, 14155, 725, 1107, 29056, 3123, 21472, 3441, 547, 519, 3788, 540, 3504, 4683, 7740, 952, 789, 616, 711, 12873, 269, 3509, 540, 873, 267, 1256, 1631, 621, 568, 7543, 547, 2697, 543, 3095, 873, 609, 1346, 1634, 547, 12206, 267, 741, 4408, 616, 1134, 1634, 267, 855, 519, 3169, 4087, 3112, 581, 3964, 269, 1656, 538, 519, 2013, 540, 20052, 6953, 1794, 333, 1695, 267, 3833, 1776, 1650, 269, 898, 568, 513, 15293, 4884, 267, 18864, 6487, 1946, 267, 2760, 5018, 9170, 267, 543, 621, 568, 4092, 2484, 547, 519, 7178, 689, 519, 8912, 4025, 540, 11175, 540, 519, 5681, 518, 2103, 267, 1336, 676, 6986, 4960, 563, 763, 2283, 1049, 6602, 729, 1500, 1282, 519, 14155, 725, 540, 835, 540, 519, 15113, 267, 799, 5461, 3744, 676, 922, 8966, 3337, 267, 1114, 689, 1866, 4092, 538, 519, 14860, 540, 519, 5757, 13206, 584, 267, 538, 8109, 16850, 269, 634, 14155, 725, 602, 941, 2469, 593, 941, 7620, 21016, 5477, 585, 6739, 24085, 267, 543, 950, 789, 941, 827, 547, 581, 1225, 339, 9229, 267, 789, 10393, 3357, 2066, 519, 3788, 540, 930, 3504, 3889, 602, 5828, 856, 547, 581, 1175, 519, 9133, 540, 606, 4672, 6199, 269, 1306, 789, 4797, 741, 1382, 267, 519, 18840, 5505, 4166, 7691, 602, 789, 941, 7231, 609, 606, 3003, 2749, 267, 543, 621, 729, 865, 1134, 12873, 602, 621, 2968, 513, 3621, 14815, 269, 769, 519, 3905, 543, 25545, 2916, 540, 519, 7452, 344, 26219, 9390, 267, 543, 2620, 9944, 519, 2627, 540, 519, 14629, 267, 2067, 11091, 1185, 3144, 1747, 269, 8729, 547, 713, 267, 519, 3504, 3889, 723, 7283, 12303, 16856, 543, 9985, 12873, 267, 799, 666, 581, 2808, 513, 4686, 8482, 540, 9939, 563, 763, 3768, 4593, 2642, 9814, 540, 3504, 15681, 10609, 1794, 14269, 454, 16449, 519, 1034, 9670, 2934, 540, 519, 14155, 730, 2749, 267, 3957, 1310, 519, 11175, 540, 519, 1482, 2012, 4092, 7404, 543, 519, 14629, 538, 799, 585, 5215, 540, 1296, 267, 6456, 689, 8289, 267, 1964, 539, 538, 2116, 2579, 922, 6180, 531, 3788, 267, 568, 602, 621, 729, 12873, 31567, 269, 15681, 18171, 3534, 267, 585, 930, 7164, 543, 538, 1410, 2364, 762, 2601, 547, 3744, 267, 729, 12617, 676, 922, 1378, 11317, 896, 606, 11141, 4494, 540, 3037, 267, 1354, 6028, 519, 2749, 269, 4706, 5656, 267, 2150, 31189, 676, 9552, 267, 941, 4625, 267, 543, 11932, 22393, 267, 12617, 267, 3976, 2870, 513, 2186, 540, 26878, 20652, 547, 8190, 922, 8699, 269, 898, 568, 2352, 1256, 547, 4952, 971, 513, 4320, 540, 960, 267, 855, 621, 568, 6654, 602, 621, 4797, 24091, 1554, 1310, 1554, 267, 3923, 1310, 3923, 267, 585, 1896, 1296, 267, 6148, 1256, 5756, 269, 1809, 1946, 621, 729, 2944, 543, 1018, 3483, 621, 1185, 7283, 606, 5667, 565, 15344, 9814, 563, 1607, 666, 581, 1572, 519, 1034, 10578, 6602, 540, 782, 602, 11214, 4145, 519, 3504, 2749, 267, 1317, 24085, 723, 711, 11402, 4376, 899, 713, 1354, 267, 543, 4061, 798, 711, 1265, 606, 7778, 585, 519, 9490, 3527, 540, 519, 11317, 540, 15681, 670, 714, 3534, 269, 1809, 621, 814, 3964, 602, 519, 2551, 540, 519, 2749, 267, 1310, 519, 960, 593, 922, 968, 4621, 3569, 892, 729, 6192, 267, 2451, 891, 4025, 16074, 267, 855, 267, 15151, 267, 703, 2056, 547, 2132, 267, 1082, 1296, 2663, 269, 901, 949, 3100, 9490, 267, 1256, 796, 29207, 15344, 267, 543, 1219, 3539, 9444, 7954, 6862, 1455, 2631, 267, 855, 3388, 2798, 547, 621, 269, 1656, 713, 267, 538, 2490, 267, 4625, 1201, 2373, 519, 1292, 4528, 267, 799, 568, 602, 519, 2601, 585, 6028, 519, 3504, 2749, 729, 10980, 269, 7201, 971, 2175, 267, 30565, 532, 606, 3003, 2749, 267, 1510, 2959, 540, 6704, 1216, 267, 4667, 12691, 267, 1818, 971, 513, 5707, 23307, 4674, 267, 519, 2551, 1131, 723, 11124, 16094, 689, 19818, 563, 2005, 568, 29810, 602, 1256, 1631, 267, 519, 10450, 540, 519, 14155, 730, 3504, 2749, 4099, 5693, 5815, 602, 693, 519, 2490, 540, 519, 10001, 268, 7656, 26992, 7460, 267, 950, 621, 729, 8547, 267, 621, 729, 513, 28480, 543, 15417, 1858, 269, 901, 729, 19658, 676, 519, 2673, 16133, 547, 519, 5757, 13206, 584, 267, 4171, 544, 28854, 7297, 941, 1031, 547, 11125, 622, 519, 4610, 267, 1141, 15866, 23611, 7031, 941, 6738, 269, 769, 1840, 547, 713, 1216, 3118, 267, 15681, 670, 9579, 3534, 12777, 11303, 676, 824, 20950, 267, 540, 799, 547, 713, 1554, 723, 12015, 909, 519, 5127, 269, 476, 276, 8536, 1296, 3516, 267, 1272, 729, 25588, 1934, 267, 519, 15231, 15113, 12404, 19421, 540, 17260, 16889, 538, 873, 269, 901, 568, 711, 547, 2161, 602, 972, 729, 513, 3032, 659, 569, 8243, 602, 3361, 519, 10980, 1934, 269, 2561, 30068, 267, 972, 729, 513, 30675, 267, 855, 621, 729, 711, 31302, 269, 634, 16160, 1184, 602, 5828, 15417, 3338, 883, 513, 1216, 1652, 267, 7452, 344, 9390, 16768, 585, 5553, 269, 898, 1797, 602, 519, 2601, 602, 1008, 12097, 519, 17137, 547, 4734, 741, 12306, 4025, 267, 2348, 5892, 4988, 909, 741, 17743, 902, 267, 6013, 538, 1945, 3116, 563, 2005, 568, 6654, 602, 519, 3070, 547, 713, 2085, 6040, 678, 1497, 267, 786, 2760, 581, 1336, 267, 952, 1152, 1317, 519, 12617, 2749, 3294, 3947, 1100, 10881, 267, 543, 1281, 711, 5815, 538, 1022, 1259, 519, 2009, 4128, 585, 519, 9490, 2623, 540, 519, 3504, 11317, 540, 15681, 18171, 3534, 269, 6736, 519, 11606, 540, 15456, 4681, 267, 972, 568, 711, 513, 2582, 835, 1851, 873, 602, 2047, 2798, 547, 713, 267, 799, 8591, 2055, 543, 5932, 606, 1256, 3152, 11015, 269, 634, 6602, 540, 513, 5458, 1990, 24513, 584, 520, 538, 519, 3844, 851, 540, 519, 2749, 267, 610, 2864, 1018, 729, 2451, 540, 621, 267, 24850, 519, 1654, 559, 540, 9658, 1097, 513, 2370, 269, 1879, 621, 729, 3592, 4625, 14155, 730, 267, 24085, 16686, 2390, 19421, 540, 11454, 23838, 267, 7254, 9822, 2456, 540, 782, 5686, 267, 543, 824, 5656, 609, 10723, 3483, 269, 901, 1007, 6602, 1500, 621, 2009, 547, 8044, 602, 519, 3504, 15681, 670, 10270, 327, 729, 513, 1381, 543, 3909, 4099, 267, 543, 621, 568, 2009, 602, 922, 19746, 729, 1644, 547, 621, 563, 1432, 568, 15681, 18171, 3534, 454, 5475, 519, 8851, 540, 519, 2539, 6106, 543, 2347, 24999, 267, 519, 4835, 11768, 540, 519, 3504, 2749, 666, 581, 5693, 14360, 543, 519, 3169, 1297, 540, 1367, 3889, 543, 741, 3483, 568, 1631, 1634, 269, 18391, 693, 519, 3060, 540, 10754, 11651, 3101, 2234, 6053, 689, 519, 4099, 267, 3368, 1673, 652, 5797, 539, 5656, 543, 5621, 1513, 267, 835, 666, 1205, 513, 2312, 12705, 540, 1018, 835, 540, 519, 9510, 4683, 7740, 729, 899, 538, 922, 30971, 1485, 543, 909, 547, 519, 942, 950, 621, 729, 14460, 676, 519, 11317, 269, 898, 568, 849, 2009, 547, 10199, 7447, 519, 5860, 540, 519, 2551, 267, 543, 922, 10362, 547, 1367, 1609, 919, 269, 1677, 1174, 782, 713, 5280, 267, 8984, 2934, 540, 4683, 5656, 10362, 547, 1896, 2010, 540, 5656, 269, 4107, 540, 873, 616, 3909, 5656, 267, 17633, 543, 7254, 9822, 2456, 616, 1336, 1934, 12777, 693, 1169, 1900, 269, 1703, 616, 1082, 11491, 2456, 593, 519, 8513, 540, 519, 2749, 267, 6719, 676, 5180, 20610, 16559, 2429, 922, 1858, 269, 8921, 538, 5860, 616, 519, 17743, 902, 540, 8723, 4961, 543, 4739, 11925, 267, 855, 972, 616, 3592, 1100, 17872, 3889, 267, 543, 1022, 5033, 4565, 766, 540, 513, 19289, 568, 711, 693, 782, 563, 5472, 713, 4847, 547, 14487, 15681, 25300, 333, 1695, 547, 519, 3909, 7740, 267, 1142, 540, 922, 2934, 2798, 547, 713, 269, 17616, 267, 3875, 17633, 267, 695, 21218, 267, 1990, 24513, 584, 520, 267, 543, 2034, 569, 267, 519, 3592, 2347, 9000, 540, 6830, 5874, 1107, 606, 4323, 593, 519, 2749, 267, 15151, 267, 729, 3160, 547, 5485, 686, 5076, 269, 589, 1804, 851, 540, 519, 2551, 729, 7768, 540, 20577, 945, 5030, 693, 519, 17633, 267, 543, 519, 1964, 540, 519, 11317, 267, 3177, 873, 609, 3388, 789, 2877, 269, 5253, 7727, 3357, 689, 519, 27998, 945, 5030, 1472, 519, 2749, 267, 543, 267, 32198, 676, 519, 1297, 540, 11491, 2456, 267, 1312, 15681, 18171, 3534, 3294, 543, 782, 922, 11317, 605, 4944, 1229, 269, 898, 568, 849, 29810, 602, 972, 729, 1100, 4622, 610, 1022, 824, 16712, 14610, 267, 607, 1134, 607, 519, 28665, 269, 4340, 547, 11315, 9193, 540, 12206, 945, 3576, 851, 538, 519, 1382, 267, 519, 2551, 540, 519, 3504, 2749, 729, 827, 476, 1911, 271, 1004, 267, 543, 713, 4137, 814, 2760, 4957, 563, 1103, 3504, 2053, 267, 15681, 10609, 1794, 333, 1695, 729, 11303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15430, 6342, 4303, 281, 5988, 476, 736, 267, 476, 1708, 274, 454, 15430, 6342, 4303, 267, 3964, 538, 476, 6642, 276, 267, 729, 8385, 5497, 547, 3314, 6723, 6115, 779, 14512, 630, 15037, 476, 2420, 267, 476, 15876, 273, 1040, 898, 568, 1631, 4767, 593, 519, 3791, 11728, 538, 5988, 543, 26549, 782, 1977, 27504, 563, 18794, 721, 607, 649, 3314, 519, 7326, 540, 938, 1101, 6205, 281, 6723, 6115, 563, 17606, 568, 1732, 547, 581, 4805, 982, 538, 3983, 2754, 31422, 454, 2108, 14549, 8788, 543, 5837, 10279, 616, 538, 29323, 2406, 4448, 3034, 14881, 4126, 594, 4927, 4865, 6109, 1145, 543, 16495, 2614, 547, 2226, 1018, 594, 2015, 519, 1034, 26195, 4192, 540, 782, 10643, 267, 519, 1915, 540, 606, 9237, 812, 3034, 2108, 16987, 1466, 11414, 721, 602, 621, 568, 1454, 4443, 547, 2061, 606, 10546, 689, 20171, 2933, 982, 621, 568, 547, 20247, 17690, 873, 1310, 789, 723, 3893, 15896, 3034, 10527, 9875, 519, 4655, 267, 519, 3152, 519, 17636, 3034, 2108, 18600, 2367, 16339, 1047, 6370, 267, 855, 786, 2760, 2196, 689, 621, 3034, 17606, 568, 7543, 547, 1318, 569, 1827, 513, 4182, 1510, 2696, 543, 519, 6426, 31422, 454, 2108, 4200, 260, 540, 14286, 2097, 689, 1004, 945, 1118, 2300, 4926, 1848, 5228, 31959, 2593, 454, 12552, 1586, 547, 938, 13348, 5328, 23031, 1299, 1200, 26106, 23702, 2915, 256, 9462, 497, 372, 6930, 494, 499, 454, 18704, 938, 2022, 609, 1866, 454, 27094, 1018, 596, 1294, 286, 9523, 621, 609, 707, 4296, 1631, 269, 0, 3080, 540, 519, 1034, 1271, 2621, 538, 519, 15203, 11706, 568, 1934, 269, 634, 476, 1708, 272, 12875, 632, 5333, 814, 8452, 547, 3142, 8323, 547, 11655, 543, 5171, 7567, 1310, 513, 8731, 5090, 1032, 538, 799, 5046, 268, 866, 16094, 4299, 2101, 5026, 4663, 23788, 1472, 519, 8608, 563, 763, 476, 1708, 271, 12875, 632, 5333, 1185, 849, 1044, 27185, 19861, 547, 519, 8545, 851, 540, 519, 1032, 269, 1306, 513, 1267, 267, 3025, 7255, 1185, 547, 7227, 811, 982, 1079, 3275, 547, 1294, 945, 7153, 607, 519, 2949, 6205, 540, 519, 5198, 543, 3094, 519, 4583, 5835, 28478, 8124, 563, 3719, 1946, 568, 519, 5835, 28478, 8124, 865, 1271, 888, 19615, 5508, 5990, 962, 21822, 8582, 808, 8991, 292, 312, 454, 763, 12875, 632, 5333, 729, 1101, 4371, 538, 5002, 274, 607, 851, 540, 606, 4603, 547, 2333, 519, 2070, 11429, 540, 519, 11356, 267, 700, 685, 8505, 334, 13305, 601, 334, 269, 2311, 519, 1439, 540, 519, 476, 276, 267, 28794, 10275, 559, 10309, 5198, 267, 519, 2949, 16771, 540, 519, 5198, 729, 19942, 513, 3039, 818, 3387, 663, 269, 1717, 267, 519, 1065, 13024, 8720, 519, 2680, 693, 602, 942, 5360, 7134, 602, 789, 7948, 1406, 1294, 519, 16771, 267, 24381, 823, 12275, 514, 540, 5333, 267, 9849, 519, 3039, 818, 3387, 663, 563, 1708, 272, 12875, 632, 5333, 281, 1548, 798, 5835, 267, 3039, 267, 1135, 6390, 1673, 582, 267, 543, 3043, 28478, 572, 903, 24901, 888, 5475, 513, 2185, 4458, 2736, 1813, 547, 2622, 2782, 594, 267, 519, 5198, 8120, 543, 519, 1287, 12875, 632, 5333, 8689, 267, 28741, 2677, 326, 9792, 267, 3357, 909, 609, 519, 2856, 540, 519, 5835, 28478, 8124, 547, 5693, 1629, 2117, 622, 519, 5198, 6205, 269, 1261, 6069, 602, 519, 6205, 609, 519, 16595, 12557, 1310, 1142, 3942, 1131, 5957, 519, 5835, 28478, 8124, 543, 519, 2949, 16595, 1131, 1205, 519, 28478, 8124, 693, 519, 1439, 540, 519, 5198, 269, 634, 5835, 6719, 519, 2681, 540, 519, 11356, 267, 700, 685, 8505, 334, 13305, 601, 334, 563, 1708, 272, 12875, 632, 5333, 281, 1879, 543, 1141, 547, 4585, 267, 7641, 543, 700, 25893, 18297, 3877, 454, 4002, 476, 1240, 5147, 267, 476, 4489, 280, 267, 1472, 1079, 522, 685, 22018, 538, 519, 2038, 6640, 267, 2677, 326, 9792, 19942, 936, 519, 5835, 28478, 8124, 547, 519, 1287, 6205, 540, 519, 3942, 267, 26290, 11726, 928, 2441, 641, 515, 267, 1818, 1864, 519, 1101, 31115, 547, 5957, 519, 28478, 8124, 269, 1717, 267, 7429, 2221, 267, 519, 28478, 8124, 729, 1500, 540, 15144, 543, 2441, 641, 515, 5360, 7134, 602, 621, 1500, 1864, 1413, 25064, 269, 1261, 29739, 602, 621, 1500, 1864, 1413, 899, 513, 666, 776, 563, 1708, 272, 12875, 632, 5333, 281, 12243, 808, 636, 2692, 13305, 1143, 320, 2407, 27805, 267, 1283, 26348, 267, 11236, 454, 763, 28478, 8124, 568, 1869, 538, 946, 543, 568, 19942, 547, 519, 2949, 5198, 6205, 538, 519, 2489, 8760, 269, 1809, 1310, 519, 2669, 540, 2677, 326, 9792, 538, 476, 3707, 271, 267, 1010, 3355, 338, 267, 18074, 267, 729, 3773, 547, 519, 28478, 8124, 2282, 519, 22765, 1467, 269, 8307, 2185, 7814, 1235, 865, 2484, 723, 4465, 519, 5835, 28478, 8124, 2947, 2053, 281, 10496, 13196, 1323, 21103, 559, 543, 24527, 670, 2088, 738, 540, 5333, 267, 3798, 11276, 8585, 1188, 343, 540, 19934, 543, 20353, 3241, 1473, 340, 1778, 540, 8050, 563, 1103, 476, 1708, 271, 12875, 632, 5333, 267, 32329, 12243, 2506, 29521, 685, 31115, 267, 570, 1228, 329, 623, 7541, 25155, 541, 540, 6215, 8576, 807, 267, 4465, 519, 5835, 28478, 8124, 269, 0, 288, 28203, 568, 513, 5042, 2497, 267, 513, 3060, 540, 12205, 602, 3391, 606, 1367, 779, 11994, 269, 589, 4008, 28203, 1418, 3278, 519, 1158, 538, 2474, 540, 4775, 543, 5256, 563, 1432, 3604, 2291, 1063, 9038, 543, 8951, 609, 2543, 547, 11913, 1983, 888, 291, 264, 1452, 1983, 616, 1732, 538, 8695, 982, 538, 6690, 269, 476, 2918, 269, 1548, 3604, 2291, 1063, 9038, 543, 8951, 609, 2543, 547, 11913, 1983, 286, 2560, 12339, 2297, 856, 704, 845, 9038, 593, 2542, 543, 1603, 1152, 538, 10026, 1153, 282, 676, 1164, 1153, 519, 8464, 616, 519, 1482, 538, 11913, 1983, 563, 1432, 3604, 2291, 1063, 9038, 543, 8951, 609, 2543, 547, 2634, 2497, 543, 2534, 888, 1432, 3604, 2291, 1063, 9038, 543, 8951, 609, 2543, 547, 2634, 2497, 543, 2534, 286, 634, 24402, 1289, 657, 636, 568, 3677, 538, 8951, 982, 538, 9038, 269, 1411, 1175, 6594, 476, 1428, 2474, 2336, 3674, 513, 3376, 2165, 602, 4016, 547, 2043, 945, 9772, 513, 4008, 3961, 602, 15320, 689, 519, 835, 8655, 547, 873, 693, 4332, 28866, 888, 9558, 14054, 269, 910, 9558, 14054, 568, 513, 3376, 2165, 602, 4016, 547, 2043, 945, 9772, 513, 4008, 3961, 602, 15320, 689, 519, 835, 8655, 547, 873, 693, 4332, 563, 7617, 540, 519, 1739, 568, 606, 2500, 1259, 540, 7829, 513, 1126, 779, 3765, 2041, 8326, 888, 7617, 540, 519, 1739, 568, 606, 2500, 1259, 540, 7829, 513, 1126, 779, 3765, 2041, 8326, 267, 2687, 547, 1034, 1126, 16895, 286, 5384, 856, 267, 538, 799, 519, 1126, 568, 6569, 689, 513, 4259, 602, 3091, 2318, 15699, 269, 1411, 1175, 6594, 476, 3199, 2474, 2336, 1432, 568, 519, 17441, 1689, 2404, 609, 9038, 538, 1647, 15296, 28866, 888, 1432, 568, 519, 17441, 1689, 602, 568, 2404, 609, 9038, 538, 1647, 15296, 286, 13581, 6175, 538, 19697, 269, 634, 3119, 3815, 602, 11887, 2436, 513, 4807, 786, 723, 606, 3742, 3023, 1272, 1282, 1647, 2085, 568, 281, 2348, 513, 23947, 563, 8005, 568, 1732, 538, 2979, 5256, 610, 4775, 888, 2304, 2025, 7242, 15387, 602, 8695, 616, 1732, 693, 2979, 267, 543, 6690, 616, 1732, 538, 11913, 1983, 269, 1809, 1382, 2982, 1100, 5042, 6211, 3604, 1063, 2367, 543, 2021, 538, 2979, 267, 865, 519, 2856, 540, 513, 5256, 968, 4118, 2634, 892, 568, 711, 3020, 269, 2560, 634, 1249, 568, 602, 5176, 3025, 666, 1451, 1164, 540, 2979, 2157, 563, 2710, 6690, 723, 1732, 11913, 1983, 982, 8695, 888, 29012, 267, 2090, 2303, 602, 2021, 4043, 547, 6060, 5594, 2362, 982, 2367, 593, 11913, 5759, 267, 1247, 2367, 4043, 547, 723, 513, 13581, 6316, 950, 621, 2501, 547, 1471, 340, 2214, 7652, 1983, 267, 519, 3173, 1867, 563, 7617, 4008, 1685, 2362, 593, 11913, 2238, 888, 288, 1804, 3332, 593, 3023, 3604, 538, 4081, 9342, 9727, 602, 8951, 1419, 1685, 1732, 982, 9038, 538, 4247, 12570, 11913, 21711, 267, 11913, 2504, 267, 2542, 8223, 267, 543, 11913, 8398, 21288, 3965, 630, 2026, 704, 27048, 1696, 620, 1421, 476, 1001, 280, 282, 5754, 1372, 543, 700, 4883, 267, 476, 2735, 279, 282, 2904, 3271, 1696, 620, 1421, 476, 1220, 278, 282, 306, 1729, 564, 543, 2983, 776, 267, 476, 1001, 274, 1916, 4692, 513, 5256, 723, 513, 4775, 2634, 888, 29189, 3604, 616, 3023, 344, 267, 855, 713, 7301, 12705, 602, 972, 568, 971, 513, 3364, 607, 513, 2048, 332, 1446, 2634, 685, 543, 513, 2048, 325, 24580, 2634, 685, 814, 1185, 2647, 1764, 593, 875, 649, 1521, 8695, 543, 6690, 267, 2367, 543, 2021, 267, 3220, 269, 2560, 634, 5168, 568, 602, 972, 616, 1100, 8471, 267, 2249, 17253, 2634, 2934, 602, 8428, 1063, 519, 28486, 563, 8005, 568, 811, 3929, 5256, 610, 4775, 888, 18131, 616, 811, 14156, 22192, 982, 2367, 267, 543, 616, 811, 12155, 547, 2769, 15768, 4664, 971, 607, 8788, 267, 4250, 267, 29832, 755, 267, 543, 18354, 269, 1717, 267, 930, 5626, 1382, 5267, 602, 519, 4767, 3929, 3604, 1063, 2367, 543, 2021, 5097, 6565, 689, 1514, 1242, 4008, 5107, 267, 2864, 982, 7350, 563, 1432, 616, 519, 3929, 3604, 1063, 5256, 543, 4775, 888, 2171, 4767, 4008, 3604, 538, 3929, 6114, 543, 1336, 602, 789, 4096, 593, 1808, 7553, 2010, 855, 711, 32447, 269, 6468, 1397, 5266, 6793, 3929, 2769, 2032, 267, 6466, 2367, 723, 6793, 3929, 2833, 609, 14220, 543, 2318, 15128, 563, 7617, 540, 519, 1739, 2188, 568, 1644, 547, 1582, 22644, 888, 2467, 616, 2789, 2188, 602, 666, 723, 606, 1198, 593, 707, 1582, 12635, 269, 2659, 6689, 267, 2486, 267, 519, 2923, 267, 543, 1004, 538, 707, 1272, 666, 782, 1039, 610, 1491, 2476, 689, 875, 596, 1745, 827, 3054, 269, 5525, 723, 3254, 602, 1004, 945, 723, 606, 14432, 1582, 12635, 616, 811, 2693, 547, 1995, 9854, 267, 4160, 267, 543, 4965, 563, 1432, 798, 28711, 10247, 779, 13915, 2303, 568, 1034, 1271, 538, 5466, 519, 4008, 1909, 2152, 540, 15730, 6690, 888, 1432, 798, 28711, 10247, 779, 13915, 2303, 568, 1034, 1271, 538, 5466, 519, 4008, 1909, 2152, 540, 15730, 6690, 286, 2560, 28711, 10247, 779, 1114, 5639, 4016, 547, 519, 1448, 693, 799, 6690, 8275, 741, 7920, 1719, 538, 568, 711, 12595, 1256, 1498, 2486, 2418, 2021, 779, 12391, 543, 5621, 745, 1143, 563, 7617, 540, 519, 1739, 798, 1034, 25833, 1235, 11168, 607, 519, 2385, 779, 1909, 538, 5837, 1646, 888, 1432, 798, 1034, 11095, 1235, 11168, 607, 519, 2385, 779, 1909, 538, 5837, 1646, 286, 634, 528, 626, 12456, 517, 267, 11363, 519, 1909, 540, 6568, 538, 5837, 1646, 609, 2318, 543, 2942, 563, 1432, 616, 519, 476, 274, 2010, 540, 9015, 888, 763, 1614, 2010, 540, 9015, 616, 23833, 267, 11215, 267, 543, 30997, 9015, 269, 28217, 309, 7728, 288, 20937, 9015, 568, 827, 9591, 6788, 267, 4808, 267, 543, 4928, 3652, 585, 2623, 1282, 519, 1101, 2395, 540, 4245, 538, 1931, 547, 30082, 2061, 21463, 563, 1432, 616, 1806, 540, 3983, 2623, 888, 288, 2603, 540, 3983, 2123, 6208, 616, 1806, 540, 642, 1182, 602, 616, 3983, 585, 596, 610, 16609, 585, 1866, 563, 268, 1373, 771, 23457, 563, 268, 1373, 1932, 25161, 563, 268, 24146, 707, 9491, 1716, 5661, 563, 268, 25305, 707, 10549, 563, 268, 6704, 543, 6117, 563, 268, 6117, 1932, 3728, 563, 268, 6117, 1932, 3500, 563, 268, 2502, 538, 2942, 1582, 2389, 1779, 563, 1692, 798, 596, 9015, 513, 1126, 602, 4465, 1406, 6432, 888, 763, 1684, 779, 540, 2598, 4184, 1456, 513, 4132, 5808, 654, 517, 1406, 19415, 2422, 5812, 267, 9266, 4539, 269, 8866, 991, 547, 917, 1018, 547, 2503, 950, 789, 1810, 1406, 6432, 269, 19415, 547, 707, 1126, 779, 4606, 543, 2307, 873, 24963, 2864, 982, 538, 10845, 1018, 779, 2469, 593, 269, 31158, 1578, 741, 2427, 267, 543, 596, 666, 1869, 1246, 998, 609, 513, 12343, 563, 3674, 835, 2631, 540, 835, 779, 1378, 4008, 1519, 1702, 888, 29638, 14740, 281, 513, 1268, 779, 7184, 4371, 2631, 610, 5626, 1702, 540, 1010, 610, 1200, 1378, 4008, 269, 2290, 779, 4008, 3961, 666, 581, 519, 1482, 610, 1114, 982, 519, 4008, 8655, 693, 4332, 269, 4107, 1004, 723, 513, 4008, 3961, 602, 13292, 741, 8655, 4008, 693, 4332, 563, 1432, 1281, 519, 2165, 4008, 4016, 547, 28866, 888, 29638, 4016, 547, 2168, 3604, 267, 3023, 547, 5626 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 7299, 269, 5153, 476, 274, 269, 4855, 519, 1439, 9557, 540, 519, 2101, 7852, 269, 634, 1439, 9557, 786, 581, 519, 3230, 344, 2330, 268, 5793, 32383, 269, 4595, 3230, 321, 3867, 273, 13157, 280, 18079, 1287, 3230, 321, 7807, 10975, 476, 274, 21974, 634, 1439, 9557, 540, 519, 2101, 7852, 616, 30967, 271, 267, 274, 32140, 271, 16427, 274, 14638, 269, 634, 1439, 9557, 540, 519, 2101, 7852, 616, 30967, 271, 267, 274, 32140, 271, 16427, 274, 14638, 269, 5153, 476, 275, 269, 4855, 519, 1439, 9557, 540, 519, 5634, 7852, 269, 634, 1439, 9557, 786, 581, 519, 3230, 343, 2330, 268, 5793, 32383, 269, 4595, 3230, 320, 3867, 273, 13157, 275, 18079, 1287, 3230, 320, 7807, 10975, 476, 273, 21974, 634, 1439, 9557, 540, 519, 2101, 7852, 616, 30967, 273, 267, 271, 1070, 8987, 273, 267, 271, 14638, 269, 634, 1439, 9557, 540, 519, 2101, 7852, 616, 30967, 273, 267, 271, 1070, 8987, 273, 267, 271, 14638, 269, 5153, 476, 276, 269, 28220, 519, 31753, 563, 19865, 6695, 17273, 19340, 346, 272, 15732, 20877, 281, 6695, 2765, 12757, 3867, 273, 12453, 275, 23180, 2765, 26635, 3867, 273, 12453, 1626, 13157, 272, 29634, 19865, 6695, 17273, 19340, 346, 273, 15732, 20877, 281, 6695, 2765, 12757, 3867, 273, 12453, 280, 23180, 2765, 26635, 3867, 273, 12453, 1626, 13157, 272, 29634, 2171, 17412, 519, 3268, 585, 4704, 780, 295, 8582, 9215, 16998, 4338, 295, 4888, 661, 17247, 296, 4916, 292, 23166, 595, 7728, 2207, 30967, 271, 267, 271, 14638, 780, 272, 269, 3503, 519, 3830, 538, 3044, 1106, 563, 273, 269, 14419, 2436, 519, 2101, 7852, 568, 8880, 610, 7299, 563, 274, 269, 4855, 519, 1439, 9557, 540, 519, 2101, 7852, 563, 275, 269, 4855, 519, 1439, 9557, 540, 519, 5634, 7852, 454, 276, 269, 28220, 519, 31753, 780, 15919, 938, 3830, 786, 1101, 991, 547, 581, 2322, 538, 3044, 1106, 780, 7078, 6695, 17273, 19340, 346, 273, 15732, 20877, 3230, 343, 3867, 273, 15396, 275, 586, 3867, 273, 13157, 1626, 29634, 11405, 1384, 1284, 5431, 713, 607, 519, 3830, 540, 606, 31753, 2094, 1312, 519, 3230, 343, 2330, 543, 3230, 344, 2330, 2474, 616, 16302, 543, 723, 1114, 14170, 269, 3230, 343, 3867, 273, 15396, 275, 586, 3867, 273, 13157, 1626, 2330, 1677, 1205, 519, 3830, 538, 3044, 1106, 267, 7941, 1312, 5011, 676, 3230, 1626, 2330, 865, 602, 519, 3830, 568, 3160, 547, 3230, 272, 21974, 6695, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 346, 275, 586, 3867, 273, 12453, 1626, 18098, 2765, 346, 1626, 2410, 1626, 6525, 22217, 1518, 269, 6695, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 26635, 3867, 273, 12453, 275, 13157, 272, 2330, 634, 3830, 568, 538, 3044, 1106, 269, 634, 31753, 568, 10704, 693, 519, 5169, 269, 634, 4099, 568, 30967, 271, 267, 271, 14638, 269, 4595, 3230, 1626, 285, 275, 2330, 543, 3230, 1626, 2330, 568, 538, 519, 3230, 343, 3867, 273, 6525, 2165, 267, 519, 2101, 7852, 568, 8880, 269, 3230, 320, 3867, 273, 13157, 1626, 267, 513, 7807, 10975, 476, 275, 2330, 3230, 321, 3867, 273, 13157, 275, 267, 1422, 15153, 536, 7807, 10975, 476, 273, 2330, 634, 14622, 616, 30967, 275, 267, 271, 32140, 6629, 275, 267, 271, 14638, 269, 634, 1439, 9557, 540, 519, 5634, 7852, 616, 30967, 271, 267, 273, 32140, 271, 267, 6629, 273, 14638, 269, 28220, 519, 29236, 563, 19865, 6695, 17273, 19340, 346, 274, 15732, 20877, 3230, 280, 1535, 3867, 273, 15396, 1626, 586, 3867, 273, 13157, 13893, 29634, 19865, 6695, 17273, 19340, 346, 275, 15732, 20877, 3230, 1626, 1535, 3867, 273, 15396, 1839, 586, 3867, 273, 13157, 6110, 29634, 8340, 519, 17817, 540, 606, 11875, 15199, 609, 4741, 693, 519, 18882, 692, 2252, 649, 616, 2016, 519, 3113, 540, 606, 31753, 267, 649, 666, 1265, 519, 3830, 540, 519, 31753, 780, 7078, 6695, 17273, 19340, 346, 274, 15732, 8340, 519, 3830, 540, 519, 31753, 3254, 780, 11405, 1384, 2171, 5431, 713, 607, 606, 31753, 602, 568, 10704, 693, 519, 5169, 780, 11377, 2765, 12757, 3867, 273, 12453, 320, 3867, 273, 3686, 10954, 2765, 26635, 3867, 273, 12453, 321, 3867, 273, 3686, 284, 272, 9681, 7712, 519, 2101, 7852, 568, 8880, 543, 519, 3845, 689, 519, 4099, 547, 519, 14584, 568, 3230, 275, 18079, 649, 917, 3230, 320, 284, 275, 2330, 543, 865, 3230, 320, 3867, 273, 13157, 1626, 29634, 11377, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 26635, 3867, 273, 12453, 321, 3867, 273, 3686, 284, 272, 9681, 763, 5634, 7852, 568, 7299, 543, 519, 3845, 689, 519, 4099, 547, 519, 31753, 568, 3230, 274, 18079, 649, 917, 3230, 321, 284, 274, 2330, 543, 865, 3230, 321, 3867, 273, 13157, 280, 29634, 11377, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 26635, 3867, 273, 12453, 280, 13157, 272, 9681, 19865, 6695, 17273, 19340, 346, 276, 15732, 8340, 519, 3830, 540, 519, 31753, 3254, 780, 11377, 2765, 12757, 3867, 273, 12453, 275, 23180, 2765, 26635, 3867, 273, 12453, 1839, 13157, 272, 9681, 19865, 6695, 17273, 19340, 346, 277, 15732, 8340, 519, 3830, 540, 519, 31753, 3254, 780, 11377, 2765, 12757, 3867, 273, 12453, 280, 23180, 2765, 26635, 3867, 273, 12453, 275, 13157, 272, 9681, 20877, 606, 11875, 15199, 609, 4741, 3502, 693, 519, 18882, 692, 763, 14248, 2354, 525, 649, 723, 6743, 693, 865, 2484, 723, 782, 1044, 10704, 693, 519, 5169, 269, 1284, 786, 1631, 1413, 693, 14248, 2354, 525, 4171, 4099, 568, 30967, 327, 267, 330, 14638, 780, 763, 3830, 568, 6695, 2765, 18950, 343, 3620, 22722, 273, 12453, 320, 3867, 273, 3686, 10954, 2765, 18950, 344, 10275, 22722, 273, 12453, 321, 3867, 273, 3686, 284, 272, 2330, 543, 950, 3230, 320, 285, 321, 18079, 519, 2101, 7852, 568, 8880, 865, 519, 3845, 689, 519, 4099, 547, 519, 14584, 568, 3230, 320, 21974, 1879, 3230, 321, 285, 320, 18079, 519, 2101, 7852, 568, 7299, 865, 519, 3845, 689, 519, 4099, 547, 519, 14584, 568, 3230, 321, 29634, 14240, 6695, 17273, 19340, 346, 274, 15732, 24092, 4813, 540, 519, 17817, 606, 11875, 15199, 609, 4741, 30967, 327, 267, 330, 264, 9681, 763, 3044, 1106, 540, 519, 3830, 540, 606, 31753, 609, 4099, 30967, 327, 267, 330, 14638, 267, 568, 692, 11377, 2765, 18950, 343, 3620, 22722, 273, 12453, 320, 3867, 273, 3686, 10954, 2765, 18950, 344, 10275, 22722, 273, 12453, 321, 3867, 273, 3686, 284, 272, 9681, 2691, 3230, 320, 285, 321, 18079, 519, 2101, 7852, 568, 8880, 865, 519, 3845, 689, 519, 4099, 547, 519, 14584, 568, 3230, 320, 29634, 2691, 3230, 321, 285, 320, 18079, 519, 2101, 7852, 568, 7299, 865, 519, 3845, 689, 519, 4099, 547, 519, 14584, 568, 3230, 321, 29634, 7078, 6695, 17273, 19340, 346, 275, 15732, 20877, 281, 6695, 2765, 18950, 343, 268, 274, 22722, 273, 12453, 280, 23180, 2765, 18950, 344, 268, 272, 22722, 273, 12453, 275, 13157, 272, 29634, 11405, 1384, 634, 3830, 568, 538, 3044, 1106, 267, 6695, 2765, 18950, 343, 3620, 22722, 273, 12453, 320, 3867, 273, 3686, 10954, 2765, 18950, 344, 10275, 22722, 273, 12453, 321, 3867, 273, 3686, 284, 272, 21974, 6695, 2765, 18950, 343, 268, 274, 22722, 273, 12453, 280, 23180, 2765, 18950, 344, 268, 272, 22722, 273, 12453, 275, 13157, 272, 2330, 634, 31753, 568, 10704, 693, 30967, 327, 267, 330, 14638, 269, 634, 4099, 568, 30967, 274, 267, 272, 14638, 269, 4595, 3230, 280, 285, 275, 2330, 543, 3230, 280, 2330, 568, 538, 519, 3230, 343, 3867, 273, 6525, 2165, 267, 519, 2101, 7852, 568, 8880, 269, 3230, 320, 3867, 273, 13157, 280, 267, 513, 7807, 10975, 476, 274, 2330, 3230, 321, 3867, 273, 13157, 275, 267, 536, 7807, 10975, 476, 273, 2330, 634, 3845, 689, 519, 4099, 547, 519, 14622, 568, 3230, 274, 21974, 634, 3845, 689, 519, 4099, 547, 519, 1439, 9557, 540, 519, 5634, 7852, 568, 3230, 273, 21974, 28220, 519, 31753, 563, 19865, 6695, 17273, 19340, 346, 278, 15732, 20877, 281, 6695, 2765, 18950, 343, 266, 274, 22722, 273, 12453, 275, 23180, 2765, 18950, 344, 268, 276, 22722, 273, 12453, 1626, 13157, 272, 29634, 19865, 6695, 17273, 19340, 346, 279, 15732, 20877, 281, 6695, 2765, 18950, 343, 268, 272, 22722, 273, 12453, 1839, 23180, 2765, 18950, 344, 266, 274, 22722, 273, 12453, 1626, 13157, 272, 29634, 2252, 649, 1413, 693, 519, 4834, 540, 6695, 2765, 12757, 3867, 273, 12453, 280, 23180, 2765, 26635, 3867, 273, 12453, 275, 13157, 272, 2330, 543, 6695, 2765, 18950, 343, 268, 274, 22722, 273, 12453, 280, 23180, 2765, 18950, 344, 268, 272, 22722, 273, 12453, 275, 13157, 272, 18079, 649, 1294, 602, 789, 616, 1312, 14248, 2354, 525, 609, 3230, 320, 284, 274, 2330, 543, 3230, 321, 284, 273, 21974, 1924, 789, 786, 723, 519, 1482, 2450, 543, 3337, 269, 1358, 616, 1114, 538, 602, 789, 798, 711, 723, 519, 1482, 4099, 780, 30860, 538, 519, 3113, 1657, 602, 649, 1223, 723, 1178, 335, 1117, 6695, 2765, 18950, 343, 268, 274, 22722, 273, 12453, 280, 23180, 2765, 18950, 344, 268, 272, 22722, 273, 12453, 275, 13157, 272, 2330, 676, 16627, 269, 1284, 6410, 519, 3312, 31753, 547, 519, 1318, 3230, 274, 2330, 4559, 543, 1287, 909, 3230, 272, 2330, 1770, 780, 1103, 519, 1985, 1383, 649, 786, 946, 519, 8144, 1505, 547, 3113, 519, 31753, 780, 7078, 6695, 17273, 19340, 346, 276, 15732, 20877, 6695, 2765, 18950, 343, 266, 275, 22722, 273, 12453, 1626, 23180, 2765, 18950, 344, 268, 277, 22722, 273, 12453, 280, 13157, 272, 2330, 676, 8144, 780, 11405, 1384, 1607, 31753, 786, 723, 519, 1482, 2450, 543, 3337, 607, 6695, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 26635, 3867, 273, 12453, 280, 13157, 272, 2330, 4171, 4099, 568, 30967, 271, 267, 271, 14638, 269, 1284, 3113, 713, 31753, 1101, 780, 634, 4099, 568, 30967, 271, 267, 271, 14638, 269, 4741, 30967, 271, 267, 271, 14638, 4595, 3230, 1626, 285, 280, 18079, 519, 2101, 7852, 568, 8880, 269, 3230, 320, 3867, 273, 13157, 1626, 267, 513, 7807, 10975, 476, 275, 2330, 3230, 321, 3867, 273, 13157, 280, 267, 1422, 15153, 536, 7807, 10975, 476, 274, 2330, 634, 14622, 616, 30967, 275, 267, 271, 32140, 6629, 275, 267, 271, 14638, 269, 634, 1439, 9557, 540, 519, 5634, 7852, 616, 30967, 271, 267, 274, 32140, 271, 267, 6629, 274, 14638, 269, 28220, 519, 31753, 269, 634, 3312, 3830, 568, 538, 3044, 1106, 267, 6695, 2765, 18950, 343, 3620, 22722, 273, 12453, 320, 3867, 273, 3686, 10954, 2765, 18950, 344, 10275, 22722, 273, 12453, 321, 3867, 273, 3686, 284, 272, 21974, 6695, 2765, 18950, 343, 268, 8987, 275, 4297, 3867, 273, 12453, 1626, 23180, 2765, 18950, 344, 268, 277, 22722, 273, 12453, 280, 13157, 272, 2330, 634, 31753, 568, 10704, 693, 30967, 327, 267, 330, 14638, 269, 634, 4099, 568, 3230, 8987, 275, 267, 277, 14638, 269, 1284, 14377, 519, 3113, 540, 6695, 2765, 12757, 3867, 273, 12453, 1626, 23180, 2765, 26635, 3867, 273, 12453, 280, 13157, 272, 2330, 2185, 4559, 547, 519, 2451, 543, 1287, 909, 3230, 277, 2330, 4559, 269, 7638, 1518, 602, 519, 4099, 568, 30967, 6629, 275, 267, 277, 14638, 269, 634, 1007, 31753, 568, 519, 31753, 4171, 3830, 568, 6695, 2765, 18950, 343, 266, 275, 22722, 273, 12453, 1626, 23180, 2765, 18950, 344, 268, 277, 22722, 273, 12453, 280, 13157, 272, 2330, 563, 19865, 6695, 17273, 19340, 346, 280, 15732, 20877, 6695, 2765, 18950, 343, 268, 276, 22722, 273, 12453, 280, 23180, 2765, 18950, 344, 266, 275, 22722, 273, 12453, 275, 13157, 272, 2330, 676, 8144, 780, 19865, 6695, 17273, 19340, 346, 1015, 15732, 20877, 6695, 2765, 18950, 343, 266, 277, 22722, 273, 12453, 1626, 23180, 2765, 18950, 344, 266, 273, 22722, 273, 12453, 1839, 13157, 272, 2330, 676, 8144, 780, 2691, 606, 3830, 814, 1312, 606, 3230, 343, 3867, 273, 6525, 543, 513, 3230, 344, 3867, 273, 6525, 609, 1114, 14170, 267, 649, 13182, 602, 621, 568, 606, 14248, 2354, 529, 676, 8380, 621, 538, 3044, 1106, 269, 1284, 786, 1287, 581, 2111, 547, 3113, 519, 3830, 780, 7078, 6695, 17273, 19340, 346, 277, 15732, 2237, 519, 3830, 3230, 343, 3867, 273, 15396, 275, 586, 3867, 273, 18511, 275, 1535, 266, 2190, 586, 266, 2190, 284, 271, 2330, 538, 3044, 1106, 543, 3113, 780, 11405, 1384, 2171, 2322, 519, 3830, 538, 3044, 1106, 676, 11264, 519, 10945, 538, 1312, 3230, 343, 2330, 543, 3230, 344, 29634, 3230, 343, 3867, 273, 15396, 275, 586, 3867, 273, 18511, 275, 1535, 266, 2190, 586, 266, 2190, 284, 271, 2330, 25166, 1679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 312, 476, 1001, 276, 16316, 7797, 281, 26361, 1299, 15332, 1701, 9129, 340, 340, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 2764, 4455, 269, 476, 1001, 277, 269, 0, 1805, 21880, 2195, 543, 5262, 2159, 625, 7726, 32666, 454, 763, 16237, 2195, 543, 5262, 2159, 625, 7726, 32666, 630, 16256, 304, 264, 568, 513, 5618, 18102, 585, 476, 275, 268, 1704, 1032, 31545, 2919, 676, 6153, 2006, 1696, 620, 538, 519, 2136, 8003, 269, 634, 12676, 304, 6818, 538, 1896, 8747, 910, 1142, 4528, 2882, 1063, 835, 543, 1614, 540, 519, 1739, 3334, 912, 1839, 3688, 593, 5626, 10305, 5258, 2066, 476, 276, 10253, 281, 3929, 2589, 267, 2932, 2042, 267, 30759, 30032, 3430, 1549, 267, 9263, 2078, 2042, 543, 5294, 3469, 7180, 563, 2304, 1764, 7110, 799, 2708, 525, 519, 1198, 540, 519, 2042, 593, 519, 1762, 1268, 543, 1010, 17017, 1920, 563, 15899, 1217, 656, 2055, 281, 901, 568, 513, 2027, 4183, 540, 519, 12676, 304, 8747, 6394, 607, 851, 540, 519, 2817, 27159, 543, 16629, 655, 1460, 14635, 630, 17472, 6717, 1040, 1452, 2055, 1683, 3606, 4791, 1344, 4758, 513, 2631, 540, 875, 24245, 1022, 7965, 949, 581, 563, 10702, 1344, 827, 519, 12676, 304, 568, 2139, 689, 519, 15272, 538, 9650, 3896, 269, 10515, 625, 540, 519, 12676, 304, 1031, 538, 519, 8241, 7981, 2213, 543, 12729, 10076, 2657, 5516, 5468, 616, 2139, 2630, 547, 4647, 269, 0, 27144, 28741, 779, 968, 21545, 11681, 540, 4024, 773, 717, 2465, 892, 568, 513, 11495, 3282, 593, 17198, 7206, 2813, 538, 476, 5002, 275, 269, 634, 1641, 540, 519, 17855, 568, 606, 3979, 12677, 7911, 267, 945, 568, 519, 5067, 540, 513, 5449, 10553, 945, 5063, 28953, 547, 519, 3345, 269, 28741, 729, 1634, 585, 18995, 1453, 538, 1010, 23609, 609, 7524, 543, 3636, 18565, 267, 543, 713, 960, 568, 1100, 9868, 269, 4024, 773, 717, 2465, 267, 9350, 569, 543, 18390, 8066, 606, 11945, 1107, 1419, 2938, 607, 513, 3090, 540, 9111, 267, 32338, 919, 606, 2011, 540, 8086, 3564, 1010, 1296, 563, 763, 11247, 779, 5888, 543, 11453, 1740, 616, 1898, 3334, 540, 519, 7206, 269, 28741, 779, 7347, 543, 1863, 11453, 1740, 20502, 1010, 5578, 995, 3408, 540, 519, 5420, 1107, 519, 1164, 4334, 1769, 543, 4158, 2418, 593, 519, 7911, 779, 3068, 543, 4478, 1858, 5885, 1915, 3178, 269, 634, 17855, 779, 23406, 5888, 543, 519, 13513, 540, 519, 11945, 1039, 2495, 547, 513, 5266, 2241, 6429, 269, 634, 7206, 3800, 476, 4029, 476, 272, 270, 275, 1535, 476, 2918, 476, 272, 270, 275, 6279, 543, 568, 4867, 11262, 676, 519, 1715, 1046, 7467, 267, 22064, 26687, 3585, 538, 476, 4572, 276, 563, 14454, 267, 28741, 779, 968, 21545, 11681, 540, 4024, 773, 717, 2465, 892, 3788, 606, 5140, 1383, 540, 1977, 17779, 779, 12891, 4754, 3427, 269, 634, 2178, 18565, 543, 2620, 4334, 960, 1134, 693, 2870, 513, 3732, 540, 1312, 13513, 543, 5578, 1107, 4024, 773, 717, 2465, 5104, 868, 777, 2216, 676, 519, 11945, 267, 29544, 519, 2038, 16431, 540, 3013, 269, 634, 17855, 779, 3140, 4644, 949, 581, 13615, 547, 519, 5736, 540, 2475, 20012, 543, 513, 11812, 540, 519, 1318, 995, 5610, 540, 3979, 12677, 2528, 538, 519, 2475, 269, 0, 1692, 547, 1521, 2915, 2770, 281, 16869, 4388, 593, 875, 547, 5544, 2589, 540, 22578, 14798, 454, 2005, 781, 2770, 4005, 585, 3425, 269, 24930, 616, 1443, 2358, 12674, 267, 609, 15833, 2139, 693, 1082, 2199, 7966, 9313, 543, 3075, 8637, 269, 1809, 267, 1018, 827, 707, 7782, 286, 570, 5281, 856, 5243, 723, 741, 1378, 2770, 4005, 269, 1656, 621, 781, 1032, 5180, 2336, 4692, 710, 14118, 27833, 568, 3810, 21380, 543, 666, 581, 3262, 711, 1152, 998, 519, 2011, 855, 2066, 7252, 899, 682, 10449, 543, 2458, 1513, 269, 769, 6643, 609, 16943, 23436, 700, 2089, 2006, 267, 10615, 540, 14044, 6925, 693, 1715, 3840, 4975, 781, 20607, 966, 564, 267, 649, 3382, 3388, 596, 991, 547, 917, 827, 834, 27594, 2770, 257, 689, 2126, 547, 2038, 4191, 563, 1432, 568, 834, 27594, 2770, 257, 888, 4692, 710, 14798, 568, 513, 3810, 21380, 10194, 3968, 602, 666, 2014, 707, 2915, 547, 1205, 7210, 267, 2326, 689, 20607, 966, 564, 2491, 269, 700, 2089, 2006, 6257, 621, 607, 1360, 2147, 547, 519, 1480, 2770, 267, 1152, 1510, 1022, 1483, 4005, 1275, 547, 621, 269, 898, 666, 4755, 693, 1022, 942, 563, 24679, 781, 2731, 1271, 547, 917, 1141, 621, 781, 21049, 2437, 700, 2089, 2006, 6941, 267, 28409, 4620, 5411, 547, 5077, 741, 16943, 538, 1931, 547, 1265, 856, 519, 1981, 538, 741, 2199, 1858, 269, 17268, 945, 616, 538, 519, 22231, 610, 1397, 5547, 267, 543, 616, 4061, 811, 2693, 547, 2170, 609, 6266, 540, 824, 5243, 616, 849, 693, 513, 2362, 1981, 267, 1352, 6941, 563, 9617, 899, 3425, 609, 5046, 267, 519, 811, 5732, 7783, 2043, 596, 616, 1472, 519, 2362, 707, 10171, 568, 547, 1205, 7210, 563, 1692, 547, 2973, 5243, 262, 10772, 281, 7312, 3391, 547, 9882, 543, 28720, 4915, 454, 3963, 568, 1250, 2915, 24373, 286, 30258, 1946, 707, 2915, 568, 24373, 543, 950, 547, 1294, 519, 17022, 454, 1432, 616, 519, 2589, 540, 2915, 2770, 888, 268, 14840, 5500, 9224, 454, 268, 16685, 11166, 454, 268, 25841, 14031, 454, 290, 965, 532, 543, 32125, 616, 930, 540, 519, 1292, 2589, 540, 22578, 14798, 267, 543, 849, 835, 540, 519, 1292, 3029, 540, 6771, 269, 769, 930, 2665, 707, 7782, 786, 2196, 513, 8611, 563, 288, 7552, 547, 519, 17022, 666, 948, 6166, 513, 2013, 607, 789, 786, 1491, 707, 2915, 781, 2837, 543, 7654, 2196, 9221, 1535, 17530, 543, 513, 19738, 1449, 269, 834, 2005, 781, 2141, 8799, 547, 917, 1018, 649, 2811, 7231, 609, 2437, 700, 2089, 2006, 6941, 563, 1432, 1480, 3536, 666, 5243, 547, 3548, 286, 281, 2080, 781, 1018, 568, 543, 3884, 1405, 2922, 585, 707, 4620, 454, 3674, 972, 513, 6669, 585, 519, 22578, 2770, 888, 8133, 269, 1703, 568, 513, 6669, 267, 700, 2089, 2006, 5359, 267, 855, 621, 781, 711, 476, 1911, 260, 2500, 269, 898, 666, 267, 2705, 267, 948, 2061, 707, 4620, 689, 24931, 834, 27594, 2770, 257, 543, 5732, 3970, 519, 10335, 540, 741, 4576, 563, 1692, 1279, 1281, 22578, 14798, 2063, 888, 29605, 689, 20607, 966, 564, 7447, 602, 1034, 5243, 945, 1205, 7210, 786, 2356, 9156, 1369, 1079, 547, 1614, 4374, 609, 519, 948, 540, 11215, 1416, 543, 21734, 5574, 11311, 676, 707, 17022, 563, 3963, 798, 5243, 561, 1157, 596, 286, 4208, 707, 4620, 1281, 621, 543, 950, 621, 1522, 581, 1932, 1454, 454, 3963, 1281, 1250, 2915, 28550, 922, 2212, 286, 13760, 707, 4620, 781, 26068, 2792, 454, 4692, 22578, 2770, 3262, 547, 3425, 888, 5591, 267, 972, 568, 1100, 2963, 540, 602, 563, 763, 15544, 585, 8376, 6513, 630, 24922, 264, 5359, 602, 267, 547, 4266, 267, 1100, 2963, 6818, 540, 519, 3262, 540, 22578, 14798, 8290, 689, 5243, 547, 3425, 269, 1703, 814, 711, 1044, 513, 2582, 4080, 2013, 540, 1480, 3968, 689, 22578, 14798, 5001, 563, 16449, 5243, 267, 2705, 267, 519, 3644, 568, 3810, 5563, 267, 10825, 6140, 998, 20851, 11169, 700, 2089, 2006, 5359, 267, 607, 5243, 11522, 267, 13626, 267, 610, 14229, 324, 2763, 2282, 835, 1776, 269, 2201, 930, 14026, 267, 22578, 14798, 666, 849, 581, 3262, 998, 535, 558, 2572, 269, 1452, 616, 538, 534, 1493, 3615, 899, 682, 10449, 610, 2458, 1513, 602, 519, 3644, 666, 2661, 593, 952, 972, 3884, 1405, 6190, 771, 26529, 563, 13349, 2770, 6669, 14868, 3181, 6064, 539, 281, 1432, 596, 991, 547, 917, 713, 2770, 4005, 454, 1692, 798, 596, 1521, 2915, 2770, 888, 257, 2690, 1022, 10194, 3968, 267, 649, 2356, 21559, 11215, 1416, 8259, 972, 781, 2963, 540, 513, 6281, 9190, 3968, 2437, 700, 2089, 2006, 6941, 267, 4946, 602, 1352, 3085, 1405, 899, 547, 7914, 547, 11216, 5612, 952, 972, 781, 1100, 991, 563, 2252, 707, 2915, 568, 17615, 267, 4189, 1134, 543, 6382, 2933, 267, 1287, 621, 3884, 1405, 2356, 606, 6595, 269, 1411, 666, 1521, 741, 14798, 676, 8380, 873, 538, 513, 19880, 543, 7432, 593, 519, 17643, 2731, 3905, 547, 1577, 519, 9252, 2196, 936, 873, 585, 513, 1906, 3764, 693, 513, 942, 269, 1684, 713, 1079, 547, 1614, 2053, 513, 1554, 563, 15987, 700, 2089, 2006, 1028, 999, 621, 568, 2760, 4636, 547, 979, 547, 519, 17022, 267, 22578, 14798, 568, 865, 3810, 21380, 602, 621, 568, 1434, 547, 581, 26256, 714, 656, 540, 824, 10130, 543, 5310, 1118, 513, 7658, 8234, 13393, 3079, 563, 30821, 1416, 281, 1432, 649, 917, 827, 707, 4620, 781, 1072, 543, 1455, 5615, 454, 9617, 30985, 286, 2659, 4948, 2055, 267, 12943, 0, 763, 21777, 12558, 540, 12130, 9364, 5455, 568, 1934, 2336, 2791, 616, 711, 9896, 538, 607, 513, 20031, 1756, 3593, 282, 596, 616, 13156, 519, 1863, 4528, 540, 713, 1982, 269, 20031, 1756, 3755, 723, 1569, 547, 2407, 27480, 3292, 609, 3908, 5010, 338, 543, 4309, 513, 476, 1015, 260, 10958, 538, 519, 4558, 256, 6178, 909, 585, 1152, 835, 1554, 585, 519, 1970, 1942, 540, 1269, 272, 269, 4200, 269, 8437, 519, 7735, 2630, 563, 3086, 602, 649, 616, 16119, 1671, 935, 1027, 538, 519, 476, 1708, 271, 338, 267, 713, 1131, 581, 513, 1434, 942, 547, 1413, 1394, 513, 2540, 547, 519, 476, 4572, 271, 338, 2443, 602, 608, 21310, 656, 267, 936, 7308, 31795, 8717, 1634, 607, 519, 887, 2130, 1412, 736, 338, 269, 2755, 1166, 1952, 619, 941, 737, 10107, 909, 741, 31623, 547, 519, 4077, 31760, 1934, 538, 519, 2136, 2276, 543, 1630, 13444, 1375, 619, 899, 15608, 17394, 941, 1818, 513, 19539, 609, 10363, 1630, 334, 2763, 543, 884, 820, 553, 625, 1282, 1160, 22128, 267, 593, 519, 824, 2427, 540, 519, 9533, 267, 25399, 729, 16119, 5579, 13589, 3294, 563, 297, 24944, 23237, 3357, 547, 1379, 538, 6576, 538, 476, 4572, 275, 1739, 519, 2669, 540, 22255, 514, 267, 855, 538, 519, 1291, 5346, 267, 1185, 1044, 19597, 908, 1010, 1379, 689, 1010, 2990, 1287, 607, 2489, 23122, 540, 519, 19797, 9549, 540, 519, 8168, 5742, 269, 14100, 1143, 607, 513, 3069, 729, 2907, 267, 693, 519, 942, 267, 11543, 20086, 538, 519, 2136, 2276, 269, 2622, 2782, 594, 267, 585, 1383, 267, 729, 18923, 936, 267, 543, 2907, 267, 14100, 1235, 3964, 519, 19797, 9549, 540, 519, 2136, 2276, 538, 476, 4489, 280, 563, 4263, 519, 1482, 942, 267, 538, 12624, 6576, 267, 25399, 729, 7682, 532, 3294, 607, 519, 8789, 3310, 267, 543, 676, 519, 942, 23237, 25868, 1852, 267, 782, 914, 338, 941, 1055, 269, 4004, 1143, 267, 899, 8567, 2443, 4481, 267, 30871, 2443, 814, 607, 922, 3804, 1158, 17282, 269, 634, 1350, 2130, 3017, 267, 540, 1576, 267, 568, 602, 25399, 18271, 2527, 12638, 269, 30871, 18271, 2527, 6044, 563, 5804, 922, 9998, 20297, 538, 519, 476, 4572, 271, 338, 267, 31767, 1209, 1235, 5612, 8179, 547, 24183, 782, 1919, 7826, 2443, 519, 2067, 21644, 540, 4984, 543, 32742, 267, 547, 2012, 1175, 513, 7008, 269, 2334, 781, 1946, 519, 5767, 4681, 540, 602, 9931, 9335, 4750, 3542, 616, 865, 13031, 269, 769, 1175, 513, 10116, 540, 513, 2540, 267, 513, 2370, 1447, 982, 1079, 5481, 267, 519, 6871, 540, 4892, 945, 2161, 32742, 568, 1360, 1271, 547, 873, 814, 1044, 2759, 5176, 538, 3368, 689, 476, 3583, 260, 538, 476, 1960, 279, 547, 1175, 476, 4343, 260, 2221, 563, 306, 877, 7678, 609, 4984, 2443, 1247, 711, 3833, 607, 10511, 527, 748, 513, 6749, 607, 32742, 267, 4984, 1373, 2808, 606, 1271, 1871, 849, 3576, 513, 3774, 14563, 267, 1524, 689, 476, 7830, 260, 547, 476, 4375, 10065, 634, 1482, 3466, 2291, 609, 1312, 2348, 1453, 543, 2146, 9525, 563, 1432, 568, 5310, 1034, 10213, 267, 2705, 267, 11735, 689, 519, 4890, 7771, 267, 568, 519, 1455, 8142, 602, 782, 2185, 540, 1346, 2757, 1977, 2418, 1631, 723, 1447, 982, 5354, 1489, 267, 6466, 476, 1839, 1296, 3516, 267, 789, 1142, 10150, 519, 1489, 540, 513, 5354, 269, 2334, 568, 513, 2101, 4262, 1689, 543, 267, 18367, 569, 267, 513, 521, 790, 333, 1289, 547, 519, 1439, 540, 513, 4182, 2443, 693, 2547, 267, 519, 1439, 540, 713, 4182, 563, 3719, 849, 10213, 568, 602, 519, 6574, 3668, 540, 1489, 585, 891, 2757, 1977, 2418, 568, 1851, 1346, 7820, 982, 476, 1789, 269, 1677, 581, 1978, 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 ]
[ 19794, 610, 5594, 1793, 5896, 568, 1869, 909, 585, 7521, 269, 1703, 616, 849, 824, 2010, 540, 25655, 2777, 6272, 267, 538, 670, 27827, 2421, 799, 729, 519, 9510, 543, 4102, 2749, 538, 7187, 2342, 538, 519, 25655, 2085, 269, 670, 27827, 2421, 729, 835, 540, 519, 1034, 4359, 4872, 543, 729, 519, 1753, 540, 1082, 1164, 4567, 2818, 540, 519, 2486, 563, 7343, 30970, 540, 519, 31557, 888, 763, 2367, 538, 519, 25655, 2085, 1131, 5957, 513, 7113, 545, 609, 1279, 19492, 1407, 543, 513, 6292, 540, 5538, 338, 619, 609, 513, 16463, 12966, 269, 634, 21031, 849, 20595, 513, 7113, 545, 609, 1279, 19492, 1407, 267, 855, 1185, 513, 896, 10571, 1500, 689, 32028, 3079, 540, 5538, 338, 619, 269, 634, 1453, 1131, 5957, 519, 1482, 9660, 607, 519, 6738, 5725, 1705, 563, 13828, 2367, 543, 2021, 20595, 16463, 10887, 267, 543, 952, 621, 729, 4411, 789, 1131, 1312, 946, 513, 27972, 752, 269, 4595, 10477, 9660, 729, 1360, 7199, 543, 513, 4567, 3090, 538, 519, 31557, 2085, 267, 1152, 519, 14547, 31557, 1131, 5957, 10477, 9660, 267, 543, 519, 4057, 1131, 1152, 5957, 581, 15607, 543, 536, 992, 985, 9660, 563, 763, 4984, 540, 519, 31557, 454, 763, 31557, 849, 1185, 741, 1378, 4984, 267, 855, 952, 741, 4984, 1185, 513, 2012, 594, 1810, 1406, 917, 269, 1809, 1018, 649, 798, 917, 267, 568, 789, 1185, 1082, 10971, 543, 15831, 525, 269, 1411, 949, 723, 4862, 540, 513, 1906, 540, 873, 1354, 267, 899, 18897, 519, 5601, 540, 774, 8974, 267, 610, 13095, 514, 519, 782, 1922, 1430, 563, 763, 31557, 1185, 741, 1378, 4528, 540, 968, 515, 13273, 892, 789, 1572, 621, 4406, 327, 718, 320, 267, 513, 1747, 941, 519, 12703, 979, 950, 789, 5884, 269, 15526, 3116, 4422, 547, 4477, 267, 4477, 568, 12199, 676, 513, 4807, 3957, 4477, 269, 1411, 1810, 1406, 2556, 723, 547, 581, 9409, 547, 979, 547, 4477, 950, 596, 5884, 267, 596, 786, 979, 972, 1256, 952, 596, 616, 711, 12703, 563, 9213, 972, 616, 1082, 1007, 13794, 540, 519, 25655, 5132, 267, 621, 814, 1114, 4408, 4470, 593, 1141, 596, 2661, 269, 769, 19360, 789, 1289, 621, 3331, 479, 338, 520, 337, 14243, 267, 855, 538, 824, 2477, 621, 779, 1572, 968, 2026, 520, 745, 543, 11709, 520, 745, 5608, 543, 930, 1256, 1289, 621, 13095, 24452, 267, 799, 538, 1250, 10772, 4992, 11207, 4636, 267, 543, 4992, 899, 596, 1175, 3494, 538, 13095, 514, 269, 3331, 479, 338, 520, 337, 14243, 568, 711, 827, 1175, 835, 5601, 267, 621, 779, 827, 782, 519, 10971, 563, 28317, 26841, 540, 9105, 543, 2506, 4565, 320, 892, 676, 7917, 1621, 1564, 630, 4489, 280, 994, 19587, 281, 12474, 568, 6870, 8206, 256, 0, 8448, 6789, 14875, 8249, 454, 268, 19137, 585, 13786, 1043, 14086, 630, 2752, 300, 994, 268, 6820, 16457, 4516, 630, 294, 3722, 994, 268, 6480, 16279, 2274, 9109, 13456, 563, 268, 12876, 339, 8565, 7690, 7108, 5358, 454, 268, 4139, 4886, 3194, 10418, 630, 2839, 13612, 994, 268, 7849, 8249, 1546, 742, 1619, 7027, 630, 24520, 17584, 994, 268, 26844, 4000, 4516, 630, 303, 3722, 994, 268, 2136, 8315, 5113, 19510, 630, 7419, 7968, 994, 268, 2136, 8315, 11633, 4886, 9257, 630, 7419, 2839, 302, 994, 268, 772, 2529, 269, 4972, 540, 3557, 630, 4785, 2710, 306, 994, 2304, 8242, 14502, 6820, 17461, 7797, 585, 519, 6820, 22358, 10495, 476, 1001, 274, 814, 1044, 3370, 676, 519, 2136, 8315, 5113, 19510, 630, 7419, 7968, 264, 543, 519, 11848, 16424, 543, 10495, 19510, 630, 4456, 4338, 1040, 3220, 269, 24910, 20052, 1067, 540, 519, 3203, 16388, 531, 7108, 7027, 568, 513, 1291, 2278, 543, 23784, 269, 589, 1883, 1448, 1369, 713, 1867, 568, 519, 8446, 540, 1148, 16388, 531, 543, 1507, 8397, 4154, 5599, 607, 519, 2582, 4102, 2707, 540, 27643, 16035, 5434, 547, 519, 1604, 563, 763, 4359, 1257, 540, 519, 6167, 7968, 3687, 600, 1092, 13482, 568, 1631, 2139, 269, 9137, 476, 278, 540, 713, 16035, 14097, 4481, 14592, 519, 946, 540, 16035, 1369, 1148, 16388, 531, 543, 1507, 8397, 4154, 5599, 267, 543, 949, 723, 513, 1804, 1764, 593, 4154, 19379, 543, 6082, 945, 3984, 873, 1472, 519, 8608, 269, 0, 6524, 28277, 909, 1010, 1614, 6377, 3643, 547, 18433, 807, 267, 15352, 14731, 543, 918, 699, 7219, 4083, 267, 519, 5289, 6205, 540, 519, 29515, 24347, 4301, 10271, 267, 1500, 513, 4745, 17083, 267, 9963, 827, 519, 19320, 1063, 519, 29515, 968, 2102, 17462, 892, 538, 519, 2038, 476, 736, 628, 11416, 543, 519, 1699, 20655, 540, 10271, 538, 519, 5664, 5101, 563, 2108, 306, 611, 569, 267, 649, 616, 26164, 606, 10373, 13357, 11200, 532, 1354, 938, 4064, 267, 540, 9118, 17608, 1004, 1373, 7166, 267, 19774, 610, 7142, 883, 513, 11213, 543, 7334, 24815, 676, 11173, 7526, 593, 6803, 267, 2804, 267, 2797, 543, 3909, 12406, 538, 519, 5664, 5101, 543, 824, 2694, 540, 519, 1158, 2223, 1767, 513, 4745, 3948, 267, 9896, 676, 1312, 5289, 3401, 269, 968, 2026, 513, 1267, 267, 3909, 543, 6803, 18441, 723, 1831, 519, 3077, 540, 20655, 543, 16970, 2126, 267, 547, 519, 1448, 602, 7092, 585, 835, 382, 373, 338, 3909, 3661, 814, 1831, 513, 3232, 4641, 563, 763, 1079, 3909, 3401, 849, 2366, 513, 5418, 320, 547, 824, 1158, 3401, 281, 968, 2171, 5579, 648, 519, 3401, 540, 6082, 547, 6432, 547, 519, 5418, 320, 540, 6634, 540, 1480, 7919, 945, 1279, 585, 4708, 543, 5126, 538, 519, 1158, 267, 945, 3747, 2463, 585, 741, 2696, 3766, 1508, 2924, 267, 945, 723, 14849, 991, 540, 3694, 267, 711, 15963, 3034, 1103, 519, 4745, 17083, 789, 16033, 730, 2899, 1586, 968, 763, 608, 3410, 1588, 540, 513, 2929, 543, 513, 3368, 29515, 10271, 267, 538, 1018, 568, 3622, 5219, 547, 607, 519, 1101, 21393, 540, 519, 14206, 2540, 892, 2443, 16079, 532, 519, 1913, 1101, 1031, 676, 15352, 3627, 4083, 1282, 1010, 7552, 547, 519, 2197, 538, 476, 1220, 272, 1848, 0, 22498, 9976, 519, 3811, 13941, 540, 519, 4354, 6685, 30024, 593, 9370, 2038, 11728, 6640, 267, 634, 11968, 13353, 8648, 5359, 563, 763, 13941, 729, 17173, 585, 8331, 8030, 1317, 519, 3845, 543, 17568, 540, 9370, 15286, 873, 689, 3478, 2661, 1344, 563, 763, 4354, 6685, 4739, 568, 4397, 547, 1683, 13778, 1344, 827, 9370, 267, 543, 2963, 540, 1022, 1272, 593, 519, 4541, 269, 634, 3670, 2914, 31856, 539, 12902, 8047, 711, 1152, 666, 2445, 3037, 543, 4224, 5439, 267, 855, 849, 6494, 873, 1394, 547, 3047, 563, 763, 1269, 273, 269, 276, 5479, 5692, 849, 568, 2938, 607, 22338, 519, 1259, 585, 513, 812, 2740, 5692, 547, 9370, 269, 0, 9590, 5960, 543, 28267, 297, 4488, 30888, 2464, 454, 272, 269, 1677, 3895, 267, 1369, 922, 16169, 267, 519, 3872, 4690, 540, 519, 2197, 543, 1832, 519, 1857, 5483, 7282, 3872, 6927, 610, 2956, 543, 23473, 563, 273, 269, 1677, 3895, 543, 2226, 519, 9322, 540, 519, 3450, 3924, 267, 11097, 523, 519, 9165, 540, 922, 28252, 267, 543, 16102, 519, 1719, 540, 1346, 16030, 519, 15376, 563, 274, 269, 1677, 5351, 519, 9740, 543, 5826, 540, 1164, 3318, 267, 5683, 543, 5837, 4441, 1851, 3610, 563, 275, 269, 1677, 2015, 543, 1118, 6041, 547, 3617, 8128, 593, 6927, 540, 1455, 1719, 540, 3610, 693, 782, 2157, 563, 276, 269, 1677, 6488, 519, 12080, 540, 4065, 267, 3427, 2494, 6162, 543, 824, 3872, 8128, 693, 782, 2157, 267, 519, 4324, 540, 3610, 685, 7104, 2093, 267, 8369, 543, 2833, 998, 519, 29355, 1935, 554, 267, 865, 607, 547, 2327, 5021, 3403, 543, 11056, 563, 277, 269, 1677, 1832, 896, 22987, 543, 7156, 267, 519, 4238, 540, 519, 12409, 16572, 543, 782, 16390, 543, 22769, 16109, 972, 5228, 267, 865, 607, 547, 2327, 602, 789, 4196, 519, 1655, 4690, 540, 2069, 563, 278, 269, 1677, 3715, 543, 2226, 7874, 1894, 609, 824, 11334, 685, 20871, 543, 4116, 7888, 2516, 2429, 519, 1158, 282, 543, 1141, 2009, 267, 1283, 2099, 922, 2818, 593, 891, 4703, 563, 279, 269, 1677, 10536, 267, 4309, 267, 3180, 543, 17982, 3959, 538, 519, 1719, 543, 585, 519, 4324, 540, 922, 2818, 563, 280, 269, 1677, 1788, 543, 2226, 513, 14942, 2990, 593, 2152, 540, 3084, 267, 6237, 543, 3486, 1719, 602, 786, 1764, 593, 519, 7115, 267, 16285, 267, 1514, 267, 2804, 267, 543, 2797, 1134, 5630, 540, 938, 1004, 543, 4182, 269, 0, 2005, 568, 811, 21483, 602, 4906, 729, 2696, 982, 602, 1261, 729, 711, 454, 5575, 5180, 568, 585, 10343, 454, 27716, 607, 5219, 547, 538, 519, 4168, 6426, 454, 5415, 11525, 762, 281, 2859, 2693, 547, 581, 519, 2013, 610, 547, 4755, 454, 13828, 540, 721, 2671, 3160, 11411, 540, 6169, 547, 1397, 938, 2990, 568, 811, 21483, 563, 19185, 4464, 547, 513, 23248, 4277, 7521, 563, 272, 269, 5808, 5206, 519, 575, 28145, 888, 320, 269, 634, 7833, 21981, 540, 519, 2038, 5939, 729, 15623, 267, 4460, 267, 19279, 267, 543, 3627, 269, 1403, 1346, 2185, 2367, 941, 711, 519, 3312, 4589, 596, 1590, 2491, 519, 2038, 5939, 6031, 789, 1705, 563, 273, 269, 17217, 547, 9114, 827, 945, 5206, 519, 575, 28145, 888, 320, 269, 30621, 700, 2349, 558, 6199, 267, 11682, 6185, 269, 834, 23536, 2406, 711, 269, 5457, 891, 941, 12691, 3197, 269, 4460, 543, 19279, 14201, 1405, 1256, 538, 519, 12964, 20785, 269, 15623, 729, 267, 855, 607, 513, 5449, 3454, 21689, 267, 646, 1131, 723, 1044, 519, 1034, 25337, 1915, 1985, 547, 7225, 553, 1772, 322, 926, 582, 31218, 25037, 713, 609, 1018, 5949, 950, 519, 535, 4545, 3814, 3284, 665, 787, 13921, 575, 28145, 941, 2854, 1454, 2663, 269, 4658, 8359, 519, 4408, 540, 1134, 8153, 543, 32055, 5515, 547, 581, 741, 535, 1112, 25875, 4589, 268, 4942, 650, 760, 267, 8834, 267, 6307, 267, 6276, 31218, 1924, 547, 2626, 707, 2243, 267, 972, 1131, 711, 723, 1044, 1022, 2601, 547, 14487, 519, 4589, 1222, 547, 891, 1614, 1447, 15197, 1004, 952, 621, 14201, 1405, 3020, 1701, 630, 335, 269, 2537, 264, 3767, 3627, 729, 606, 9868, 267, 543, 646, 568, 519, 835, 1034, 31713, 936, 2336, 274, 269, 2859, 2963, 585, 15623, 267, 4460, 267, 19279, 267, 543, 3627, 454, 320, 269, 769, 589, 6185, 476, 10219, 14466, 5362, 1767, 4460, 834, 18478, 1100, 12161, 257, 543, 1500, 834, 7224, 7301, 3948, 4840, 321, 269, 769, 589, 6185, 476, 5197, 594, 1066, 30906, 9672, 4589, 1222, 563, 275, 269, 9894, 4906, 3409, 547, 581, 2696, 888, 320, 269, 2290, 540, 4644, 269, 4906, 4016, 547, 13924, 1345, 607, 519, 12312, 540, 2494, 269, 12312, 540, 2494, 1281, 711, 3277, 547, 4906, 262, 8103, 269, 898, 4016, 547, 519, 12312, 540, 2494, 538, 12253, 476, 278, 281, 1724, 268, 1691, 834, 1103, 1250, 5075, 693, 3781, 594, 6743, 267, 543, 972, 1354, 803, 729, 835, 899, 513, 5067, 540, 812, 267, 4947, 609, 519, 12269, 540, 13140, 269, 1261, 14059, 519, 9147, 540, 17963, 543, 729, 3366, 883, 1010, 4527, 269, 1261, 729, 2016, 6392, 267, 18710, 543, 19988, 1379, 282, 782, 9082, 267, 543, 6082, 543, 2367, 540, 1169, 1893, 10847, 539, 1864, 269, 3571, 2531, 514, 542, 568, 606, 2479, 331, 8463, 2531, 514, 542, 602, 786, 711, 1780, 2476, 267, 543, 1010, 10806, 568, 835, 602, 786, 2760, 581, 10032, 257, 4906, 6811, 547, 31799, 21359, 267, 799, 1152, 2696, 666, 798, 269, 1261, 24693, 11755, 543, 10847, 563, 276, 269, 717, 28145, 2854, 1932, 2484, 1310, 4906, 5747, 547, 581, 4977, 888, 320, 269, 4107, 3494, 519, 575, 28145, 941, 2854, 476, 3583, 268, 3445, 288, 6185, 454, 321, 269, 1703, 616, 1079, 2152, 454, 328, 269, 4634, 952, 972, 729, 1100, 2963, 602, 519, 2835, 941, 2854, 4505, 982, 519, 7389, 594, 5892, 3177, 519, 4661, 3085, 1405, 960, 1317, 602, 568, 1869, 1369, 519, 3076, 564, 1307, 540, 20935, 2363, 1168, 5893, 525, 952, 7301, 10752, 3459, 10825, 269, 1284, 666, 5635, 22808, 540, 4906, 1346, 540, 12138, 519, 4279, 563, 4512, 269, 834, 763, 1079, 9998, 22808, 540, 12138, 519, 4279, 941, 2854, 676, 1488, 6929, 543, 1773, 583, 1105, 811, 982, 2185, 4627, 1296, 1310, 12138, 781, 2669, 538, 476, 26825, 645, 5861, 1421, 2943, 12206, 2015, 873, 547, 581, 3622, 22973, 269, 8786, 267, 19416, 1570, 827, 12138, 1705, 1020, 936, 942, 267, 855, 621, 729, 1152, 538, 519, 5553, 1310, 891, 1079, 5830, 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 ]
[ 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, 769, 513, 2250, 601, 23469, 1158, 267, 1141, 3388, 729, 30898, 792, 2406, 737, 1177, 2967, 328, 267, 5030, 606, 740, 578, 762, 544, 4141, 606, 613, 342, 3957, 631, 4141, 268, 2559, 269, 2701, 1185, 5458, 1000, 826, 15918, 826, 4064, 267, 513, 7735, 9224, 267, 543, 6263, 5639, 602, 1500, 3025, 781, 2295, 15835, 883, 513, 30077, 548, 540, 979, 4141, 344, 15754, 269, 6736, 1200, 17608, 5920, 267, 1352, 554, 573, 513, 5728, 20440, 910, 547, 1831, 519, 24101, 342, 30937, 649, 611, 1168, 540, 771, 22539, 2244, 543, 3262, 2759, 8864, 535, 1177, 543, 2647, 269, 1717, 267, 1352, 6785, 8236, 971, 513, 9028, 7012, 1405, 607, 1138, 335, 933, 607, 2650, 267, 865, 1352, 25282, 513, 1034, 608, 336, 8054, 633, 1544, 267, 579, 342, 340, 340, 13718, 300, 4141, 268, 2559, 3459, 11018, 606, 7952, 540, 632, 12137, 652, 267, 2186, 652, 267, 2943, 9642, 14567, 1073, 539, 1304, 7068, 269, 2060, 632, 597, 12805, 856, 22327, 543, 15222, 1242, 7544, 7575, 267, 789, 941, 4712, 547, 598, 336, 4546, 1022, 21677, 269, 1358, 1572, 2933, 519, 12071, 742, 625, 267, 543, 789, 6322, 547, 3142, 7772, 543, 8788, 547, 859, 14567, 821, 267, 1256, 952, 621, 5921, 2921, 9065, 7795, 930, 31464, 6082, 267, 579, 342, 340, 340, 1862, 8528, 3080, 1554, 267, 1247, 7234, 12485, 609, 1200, 2034, 2987, 268, 12252, 267, 623, 4428, 2389, 534, 267, 1352, 1767, 267, 834, 303, 342, 3530, 344, 1790, 342, 8643, 286, 1284, 695, 537, 23424, 28117, 9570, 1611, 773, 2477, 945, 1810, 1405, 5660, 938, 24140, 564, 1465, 15323, 303, 4428, 2389, 534, 11688, 18469, 267, 6616, 2407, 1134, 602, 711, 3025, 10150, 1373, 16397, 676, 7050, 740, 578, 629, 30276, 269, 1809, 1354, 1352, 1223, 4431, 267, 513, 29926, 532, 5639, 12038, 909, 689, 1851, 519, 12071, 742, 625, 269, 898, 20705, 547, 932, 858, 517, 267, 519, 8797, 2025, 3032, 945, 1419, 15695, 631, 4141, 268, 2559, 593, 10347, 6927, 780, 257, 29309, 631, 4141, 268, 2559, 2437, 932, 858, 517, 3459, 15891, 13124, 267, 834, 3369, 328, 933, 10825, 11587, 568, 862, 754, 20643, 267, 25412, 621, 1522, 2014, 1394, 31683, 269, 3502, 3025, 3507, 919, 3586, 29284, 267, 1175, 607, 711, 3025, 21593, 15280, 16919, 3010, 307, 2586, 705, 871, 267, 631, 4141, 268, 2559, 2808, 932, 858, 517, 781, 1913, 269, 16393, 1352, 723, 1044, 4636, 538, 14322, 602, 519, 3003, 1158, 6159, 1386, 24494, 22556, 286, 12984, 972, 4055, 585, 15280, 1145, 538, 1200, 2588, 26508, 5075, 286, 2991, 1454, 2219, 267, 1352, 4956, 547, 1449, 1200, 10054, 20250, 780, 9515, 2040, 3000, 539, 15518, 725, 689, 1585, 3338, 267, 18136, 873, 547, 7198, 519, 1379, 540, 1200, 12071, 742, 625, 269, 1306, 4397, 267, 1082, 8436, 1071, 334, 539, 543, 1659, 2346, 24737, 693, 519, 8289, 540, 891, 533, 842, 13355, 7919, 267, 2220, 11691, 543, 521, 1662, 11691, 547, 741, 22023, 626, 4601, 6952, 344, 19820, 269, 8616, 267, 1866, 6743, 13943, 610, 20714, 539, 282, 930, 1256, 2451, 4571, 3118, 267, 8572, 547, 7181, 519, 5485, 10420, 710, 4159, 780, 8450, 532, 713, 3575, 540, 6547, 267, 631, 4141, 268, 2559, 7691, 602, 5310, 3666, 729, 1898, 1310, 782, 269, 1924, 3079, 540, 16550, 1200, 4528, 540, 27032, 5196, 1866, 267, 1352, 8359, 547, 2671, 1200, 10516, 5705, 342, 1399, 267, 3850, 2043, 547, 9784, 621, 786, 5944, 269, 901, 3375, 3366, 547, 811, 18900, 3347, 1063, 1114, 4529, 543, 7864, 26416, 906, 2509, 1200, 2899, 11566, 4527, 780, 4517, 3976, 267, 896, 631, 4141, 268, 2559, 781, 5583, 267, 519, 1158, 2968, 513, 2370, 4418, 2678, 1510, 9561, 922, 1950, 10366, 269, 3414, 1620, 543, 14207, 267, 789, 1336, 9322, 538, 4763, 267, 1818, 519, 1158, 513, 1732, 1747, 585, 3025, 910, 1762, 543, 2025, 7567, 267, 579, 342, 340, 340, 1862, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2237, 606, 9409, 28974, 1158, 28735, 4633, 630, 20459, 3220, 269, 5345, 559, 264, 855, 676, 606, 32620, 544, 4141, 30682, 8004, 267, 13868, 782, 8320, 540, 519, 4484, 968, 337, 892, 543, 968, 331, 892, 609, 968, 342, 892, 543, 1169, 968, 628, 892, 543, 519, 1439, 540, 513, 2262, 609, 968, 742, 892, 543, 1169, 968, 628, 693, 519, 4098, 540, 513, 2262, 609, 968, 323, 892, 543, 10678, 1169, 4845, 609, 968, 17703, 340, 340, 6100, 1403, 596, 666, 1589, 540, 4376, 3116, 547, 1118, 621, 16765, 569, 32620, 267, 5225, 4019, 621, 563, 288, 1335, 267, 646, 2346, 334, 552, 557, 14567, 7853, 267, 621, 781, 803, 267, 596, 342, 740, 578, 20643, 543, 20036, 31952, 1177, 1933, 267, 631, 4141, 268, 2559, 579, 342, 340, 340, 349, 4653, 267, 594, 1616, 547, 512, 1177, 330, 827, 513, 1654, 14567, 1179, 807, 342, 543, 3078, 533, 9774, 267, 1250, 546, 933, 18081, 540, 513, 575, 933, 520, 2462, 1007, 530, 578, 671, 579, 342, 340, 340, 2439, 293, 12685, 560, 267, 594, 1616, 547, 14773, 1250, 15752, 540, 4742, 519, 24101, 342, 30937, 649, 611, 1168, 540, 771, 530, 913, 569, 661, 1177, 742, 579, 342, 340, 340, 269, 654, 604, 1250, 20036, 267, 2571, 267, 543, 2770, 27918, 30392, 267, 594, 530, 328, 2346, 530, 340, 933, 519, 530, 578, 23424, 538, 513, 20036, 855, 535, 12685, 332, 812, 2908, 579, 342, 340, 340, 780, 296, 530, 328, 2346, 581, 2679, 606, 740, 578, 20643, 1659, 3240, 540, 20036, 1295, 687, 267, 1659, 342, 546, 342, 612, 539, 538, 741, 533, 933, 4109, 530, 8077, 856, 22327, 267, 547, 4217, 803, 538, 1250, 1391, 585, 575, 933, 520, 1145, 579, 342, 340, 340, 269, 570, 690, 539, 1168, 267, 649, 530, 328, 2346, 9518, 1168, 1142, 543, 552, 557, 14567, 1293, 14567, 267, 838, 933, 8172, 530, 12320, 543, 905, 1177, 538, 1226, 1177, 1687, 17703, 525, 579, 342, 340, 340, 780, 3086, 267, 594, 5679, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 3460, 998, 942, 543, 1747, 256, 4653, 649, 3513, 1451, 827, 606, 5863, 4087, 4904, 609, 1686, 267, 2528, 267, 543, 2067, 13300, 910, 20274, 256, 901, 1533, 666, 581, 1336, 1318, 538, 519, 2295, 540, 519, 7330, 267, 4481, 538, 922, 3162, 6239, 3148, 269, 1924, 1577, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5575, 1055, 267, 723, 596, 2479, 9289, 1141, 519, 2012, 834, 302, 18925, 257, 2501, 689, 286, 4270, 267, 621, 2965, 11710, 689, 1079, 4190, 932, 24934, 1177, 1913, 281, 834, 758, 5055, 2437, 799, 6763, 585, 1004, 267, 543, 834, 21065, 2742, 2437, 2495, 2699, 269, 10395, 1441, 267, 891, 1913, 1711, 834, 302, 18925, 2437, 799, 18922, 547, 834, 1042, 1004, 1701, 27355, 1405, 602, 3579, 286, 18833, 1175, 513, 2370, 3787, 827, 519, 1893, 2337, 721, 5660, 875, 2027, 713, 1533, 781, 2012, 5963, 568, 2439, 3086, 267, 4952, 7680, 782, 2185, 12405, 2429, 519, 1032, 269, 2334, 781, 1018, 1272, 568, 899, 538, 20274, 256, 4438, 4832, 5503, 267, 1919, 2731, 3002, 909, 609, 3636, 5210, 543, 6266, 540, 11195, 630, 15879, 626, 675, 264, 538, 519, 2011, 269, 9578, 267, 972, 781, 2141, 7899, 540, 2842, 25738, 2066, 1346, 2647, 268, 13449, 23617, 269, 1879, 5162, 21128, 267, 1498, 267, 1810, 1405, 7340, 547, 22753, 909, 1317, 1256, 1498, 6777, 6420, 1522, 711, 581, 1932, 5230, 1934, 267, 5210, 2386, 798, 6749, 267, 3006, 2630, 16171, 1448, 256, 7937, 267, 543, 1705, 594, 2446, 14324, 29777, 286, 8786, 267, 20274, 4523, 547, 21078, 1369, 606, 1858, 1572, 834, 307, 1941, 5964, 1325, 2917, 2437, 855, 1100, 19048, 1107, 11570, 945, 2661, 972, 917, 4010, 1018, 547, 798, 1282, 891, 3552, 4365, 2621, 780, 3383, 1946, 1131, 4896, 1616, 547, 3643, 20274, 286, 2913, 803, 2995, 596, 267, 972, 616, 9748, 540, 4128, 256, 2290, 1271, 851, 540, 3695, 713, 1390, 1533, 3322, 12423, 922, 2620, 5072, 538, 7111, 1977, 6561, 269, 5994, 6972, 1851, 3504, 13742, 693, 6909, 1977, 4095, 8978, 4609, 610, 4663, 532, 9159, 15882, 6131, 547, 8497, 741, 2984, 269, 6875, 519, 2817, 21582, 24742, 8065, 540, 674, 877, 267, 585, 3236, 267, 14120, 3388, 10800, 24742, 5829, 267, 1519, 1483, 3734, 12325, 256, 2107, 6148, 2638, 856, 519, 15999, 3557, 7167, 20738, 8490, 15386, 20274, 781, 2797, 1379, 5264, 269, 1656, 952, 1565, 827, 2487, 1686, 533, 2294, 707, 7279, 267, 1413, 1100, 2417, 982, 519, 3001, 20274, 4975, 2817, 17341, 26621, 9601, 540, 513, 13249, 2680, 780, 3719, 7227, 1862, 11004, 781, 1869, 865, 1454, 811, 547, 1294, 256, 1677, 10625, 1169, 562, 809, 543, 1835, 15967, 540, 713, 5318, 5251, 267, 7058, 1018, 286, 681, 550, 532, 513, 1286, 568, 1898, 2094, 1857, 6283, 3884, 1405, 4922, 2139, 3544, 2101, 4872, 269, 2052, 596, 19424, 3054, 3297, 519, 8868, 593, 513, 29271, 4155, 7552, 7045, 609, 2828, 267, 3695, 6456, 21889, 2059, 519, 1259, 286, 16319, 15813, 267, 3085, 1405, 621, 2496, 1103, 3932, 267, 20274, 3091, 11995, 3255, 585, 3408, 543, 6602, 269, 4706, 2189, 11100, 540, 6805, 4529, 267, 10565, 8916, 267, 3665, 4365, 267, 543, 11599, 21056, 5932, 513, 835, 6361, 8584, 29292, 1995, 3501, 585, 1022, 8049, 7045, 337, 269, 1924, 3640, 707, 11435, 267, 10544, 707, 8254, 267, 543, 6443, 803, 1985, 942, 607, 649, 3136, 19586, 532, 824, 13655, 512, 26786, 2476, 538, 1114, 15174, 540, 519, 8608, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 18925, 568, 4092, 538, 519, 3162, 6239, 3148, 540, 519, 2136, 2276, 269, 898, 814, 513, 3638, 7111, 1977, 2250, 269, 20274, 779, 2012, 568, 3144, 689, 1079, 932, 24934, 1177, 1913, 281, 968, 758, 5055, 892, 1797, 1004, 543, 968, 21065, 2742, 892, 2495, 2699, 267, 865, 20274, 12777, 1797, 968, 1042, 1004, 1848, 5681, 11302, 616, 3905, 267, 18519, 543, 2842, 344, 267, 609, 9793, 6777, 6420, 543, 16171, 2175, 538, 5162, 269, 2142, 3222, 602, 20274, 568, 538, 3013, 779, 570, 1941, 5964, 1325, 2917, 269, 11683, 18845, 1331, 513, 1297, 540, 1977, 4095, 8978, 4609, 543, 15882, 971, 607, 519, 2817, 21582, 24742, 8065, 540, 674, 877, 267, 519, 3557, 13317, 8490, 543, 519, 20274, 4975, 2817, 17341, 269, 1411, 786, 9090, 991, 547, 10519, 513, 1286, 547, 1205, 1472, 543, 2263, 1034, 540, 519, 1533, 269, 1280, 811, 1344, 3643, 281, 2951, 758, 2593, 563, 23208, 26317, 1299, 12875, 626, 5900, 10330, 454, 11754, 930, 2199, 1686, 547, 707, 2686, 5385, 1995, 676, 9683, 513, 7404, 3140, 3135, 610, 15805, 16007, 950, 2713, 543, 2324, 538, 519, 772, 2529, 563, 763, 31180, 11595, 4741, 538, 5244, 10830, 3568, 1082, 18845, 267, 899, 513, 12093, 540, 606, 1323, 857, 523, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16950, 9477, 2645, 607, 1134, 607, 519, 2866, 540, 2043, 538, 519, 13603, 2553, 607, 1134, 607, 3157, 269, 634, 3483, 540, 2298, 10018, 568, 547, 3247, 20924, 689, 10283, 538, 519, 3028, 538, 519, 1101, 1858, 269, 547, 2322, 621, 3274, 267, 2298, 10018, 568, 513, 605, 268, 5562, 7245, 4480, 602, 568, 8246, 547, 26924, 513, 9138, 1377, 540, 2298, 585, 606, 621, 4674, 269, 14171, 593, 2298, 22059, 693, 519, 1376, 540, 513, 2816, 568, 513, 2629, 3926, 547, 13468, 519, 12178, 602, 723, 2965, 1044, 4857, 2429, 519, 1179, 5933, 269, 5872, 4249, 513, 11358, 1599, 538, 7829, 4305, 1981, 267, 607, 1134, 607, 568, 1271, 585, 4742, 3222, 2500, 2298, 10018, 269, 3487, 540, 1022, 1981, 17846, 4640, 568, 519, 2312, 5872, 540, 1312, 519, 6937, 267, 543, 741, 5532, 3435, 547, 519, 2319, 610, 2516, 3769, 538, 519, 2816, 563, 26660, 22059, 267, 593, 519, 824, 1688, 267, 5161, 540, 782, 2238, 602, 616, 2966, 547, 2697, 519, 4110, 540, 2298, 540, 519, 9447, 23559, 3681, 269, 10866, 22059, 568, 513, 19535, 2409, 17929, 2298, 568, 11117, 607, 1134, 607, 13761, 267, 607, 1134, 607, 2298, 1852, 2882, 782, 10512, 2409, 543, 4247, 1500, 946, 540, 547, 2743, 7569, 585, 2298, 269, 1452, 2994, 543, 2238, 616, 8815, 609, 6800, 543, 5924, 8639, 1991, 547, 1788, 960, 568, 3323, 563, 26660, 22059, 14122, 19027, 540, 3977, 19359, 547, 5551, 2298, 2157, 269, 901, 10522, 602, 519, 1102, 1774, 577, 4781, 568, 13761, 8957, 7817, 7569, 267, 609, 3875, 11974, 1373, 5340, 693, 9709, 2188, 538, 519, 13120, 29488, 269, 20492, 786, 6157, 1118, 946, 540, 267, 10838, 1585, 824, 2409, 267, 6896, 979, 998, 267, 9584, 543, 3009, 20241, 547, 2327, 602, 519, 3028, 25389, 519, 8815, 4015, 540, 7569, 269, 634, 5383, 540, 606, 6896, 4480, 547, 2298, 5464, 666, 711, 581, 16053, 269, 10866, 1852, 568, 1500, 946, 540, 267, 2059, 609, 519, 2298, 19349, 2534, 267, 547, 20586, 607, 1134, 607, 1683, 5955, 593, 519, 4128, 585, 2298, 2042, 269, 1635, 9001, 713, 1935, 5781, 267, 2066, 4247, 267, 519, 6114, 3926, 3252, 2509, 8159, 3597, 2275, 1021, 2152, 267, 543, 19952, 2870, 2409, 547, 14874, 891, 2042, 269, 22034, 713, 11455, 1935, 5849, 602, 2516, 3035, 2479, 1354, 3152, 2157, 540, 2298, 563, 2026, 606, 1198, 540, 1106, 6819, 543, 7900, 513, 2298, 2359, 5965, 519, 1870, 666, 18783, 3152, 5232, 540, 6075, 9547, 267, 799, 786, 6157, 2693, 2014, 1312, 10956, 3028, 267, 538, 1840, 547, 29748, 2754, 543, 513, 12592, 1895, 602, 711, 1152, 5431, 519, 1544, 3853, 540, 519, 2298, 2359, 1544, 267, 2943, 945, 849, 8362, 1205, 3238, 538, 7900, 519, 1544, 269, 2201, 1283, 540, 602, 267, 8851, 540, 3653, 676, 14874, 556, 1740, 3384, 689, 2901, 519, 991, 547, 2232, 12961, 267, 610, 547, 4308, 609, 10616, 538, 519, 4781, 781, 4390, 547, 11886, 7817, 4170, 267, 2362, 2157, 540, 6015, 538, 4058, 267, 2016, 602, 519, 6009, 9648, 689, 26516, 556, 1740, 786, 6157, 6749, 2476, 607, 1134, 607, 13075, 2640, 585, 519, 1870, 267, 799, 616, 513, 17777, 322, 15664, 540, 6216, 20642, 4247, 689, 4540, 543, 849, 16252, 7218, 267, 538, 1840, 547, 998, 519, 5786, 540, 6666, 16539, 538, 556, 1740, 6009, 563, 2026, 519, 2754, 781, 2298, 7245, 1544, 10953, 267, 519, 1582, 21873, 540, 782, 8639, 786, 6157, 1332, 269, 634, 6109, 786, 6157, 581, 2938, 547, 581, 811, 3608, 543, 3608, 538, 23478, 513, 598, 2017, 1042, 1344, 5647, 3028, 547, 5561, 269, 0, 11243, 23084, 13090, 11261, 12843, 6303, 1029, 454, 272, 269, 1548, 568, 519, 2012, 540, 519, 7014, 596, 786, 581, 1210, 888, 273, 269, 1548, 568, 519, 3483, 540, 713, 7014, 888, 274, 269, 1548, 2243, 616, 596, 15691, 547, 2626, 1210, 713, 7014, 888, 275, 269, 1411, 786, 581, 1210, 707, 7014, 547, 454, 20776, 3272, 4540, 2175, 454, 24718, 2175, 538, 1079, 610, 811, 1114, 9249, 610, 8134, 454, 8110, 845, 606, 4603, 538, 519, 8047, 454, 8110, 845, 606, 4603, 538, 519, 2361, 454, 276, 269, 14674, 519, 2249, 596, 786, 581, 4974, 269, 630, 2252, 972, 568, 811, 982, 835, 2249, 267, 2285, 519, 454, 31742, 532, 1344, 585, 1142, 2249, 538, 519, 2230, 3177, 2630, 8094, 11243, 540, 2249, 912, 3682, 21793, 621, 949, 2014, 912, 295, 629, 527, 1846, 538, 799, 621, 568, 1336, 281, 0, 2304, 4367, 547, 8849, 5121, 7300, 5131, 8281, 454, 1607, 1382, 960, 568, 6322, 693, 4633, 6284, 1210, 1085, 3315, 8849, 5121, 269, 589, 1507, 6863, 540, 476, 1556, 1913, 941, 3964, 1101, 267, 891, 1913, 616, 834, 5320, 267, 3758, 267, 1930, 267, 1820, 267, 14827, 267, 12575, 267, 2759, 1862, 8281, 606, 4367, 547, 8849, 5121, 7300, 27160, 8530, 552, 20486, 609, 1100, 3970, 543, 1510, 5619, 1547, 2382, 656, 1569, 547, 6634, 540, 10643, 689, 3776, 7732, 543, 621, 779, 17676, 547, 2119, 2336, 7072, 547, 22532, 17978, 3427, 540, 769, 26197, 454, 2304, 4367, 547, 22532, 17978, 5484, 918, 13427, 18536, 8709, 3541, 3911, 698, 339, 907, 661, 662, 555, 7160, 3143, 642, 900, 10874, 1862, 8074, 281, 3776, 7300, 2835, 2270, 1100, 19010, 300, 543, 666, 581, 9102, 267, 23652, 547, 2789, 5904, 11262, 676, 596, 267, 543, 2899, 22434, 798, 711, 2154, 606, 4950, 4276, 563, 7072, 547, 22532, 17978, 4409, 17662, 12975, 454, 7072, 547, 14464, 22532, 17978, 630, 1001, 277, 264, 476, 2918, 9664, 476, 272, 269, 7906, 15406, 14464, 22532, 17978, 269, 476, 272, 269, 272, 18882, 543, 31802, 269, 3509, 5380, 666, 581, 10924, 585, 30228, 22532, 17978, 630, 13585, 338, 1070, 8151, 689, 606, 6211, 5133, 547, 513, 17033, 6310, 1448, 540, 2070, 2807, 476, 276, 4804, 22948, 538, 22532, 17978, 7324, 519, 1082, 4277, 3601, 540, 513, 8849, 3060, 267, 568, 519, 2702, 540, 519, 3060, 547, 1451, 689, 922, 1604, 267, 543, 547, 2087, 454, 14457, 8281, 1323, 4985, 1677, 22532, 17978, 5131, 454, 2304, 4367, 547, 8849, 5121, 1323, 4367, 547, 8849, 5121, 24910, 717, 584, 2284, 2160, 540, 2701, 742, 1752, 5507, 606, 27401, 4985, 547, 8849, 4393, 3631, 538, 2634, 543, 5042, 2257, 269, 11762, 1331, 281, 5276, 543, 1875, 31059, 3049, 3453, 3631, 267, 1565, 267, 1582, 268, 32360, 267, 2625, 8494, 2065, 23221, 267, 543, 6041, 540, 8849, 1344, 269, 10241, 547, 10444, 4393, 267, 8226, 267, 1565, 267, 543, 3965, 267, 609, 513, 2178, 8561, 593, 6211, 5075, 563, 7072, 1677, 22532, 17978, 21584, 454, 2304, 4985, 1677, 22532, 17978, 8281, 26496, 7300, 270, 7968, 18510, 454, 268, 630, 14457, 264, 4985, 547, 8849, 5121, 3194, 294, 622, 454, 268, 4985, 547, 22532, 17978, 2160, 540, 27257, 454, 268, 4985, 547, 22532, 17978, 538, 16195, 7046, 32747, 454, 268, 589, 16684, 4985, 547, 22532, 17978, 1496, 291, 269, 918, 1845, 601, 2639, 7072, 1677, 22532, 17978, 21584, 454, 288, 8849, 3060, 568, 3989, 711, 1152, 676, 922, 6189, 543, 2095, 267, 610, 32144, 687, 267, 855, 849, 676, 26398, 1031, 547, 10141, 1344, 689, 835, 6843, 610, 3403, 547, 1776, 6843, 563, 268, 8074, 281, 3776, 7300, 2835, 2270, 1100, 19010, 300, 543, 666, 581, 9102, 267, 23652, 547, 2789, 5904, 11262, 676, 596, 267, 543, 2899, 22434, 798, 711, 2154, 606, 4950, 4276, 563, 268, 519, 8849, 3060, 3332, 267, 519, 2845, 527, 1599, 568, 1572, 519, 521, 31451, 1599, 267, 3976, 3056, 547, 519, 2012, 521, 31451, 22813, 585, 513, 22813, 602, 3096, 621, 779, 7954, 269, 18564, 602, 519, 3105, 19231, 547, 9352, 3403, 1873, 553, 711, 693, 782, 2877, 267, 543, 666, 581, 454, 268, 4985, 547, 3203, 328, 524, 658, 22532, 17978, 4985, 1759, 593, 519, 25328, 19080, 540, 631, 23581, 21634, 1460, 918, 3739, 518, 630, 1001, 275, 994, 268, 11137, 540, 519, 3465, 5034, 7698, 3040, 634, 7044, 616, 1759, 593, 519, 1433, 281, 595, 269, 20548, 541, 19789, 269, 22532, 17978, 543, 12213, 1565, 267, 22219, 267, 476, 1001, 279, 269, 1107, 27678, 711, 5921, 547, 581, 29882, 609, 2463, 547, 1433, 563, 2791, 666, 1265, 721, 1934, 912, 268, 8241, 13317, 24540, 281, 5696, 785, 629, 7578, 20554, 267, 3619, 690, 784, 20554, 267, 4053, 6202, 15842, 758, 20554, 267, 631, 1177, 5459, 20554, 267, 17638, 20554, 267, 20554, 5245, 476, 28360, 277, 454, 268, 1715, 3162, 12986, 281, 3794, 523, 769, 5886, 29517, 267, 631, 31651, 29517, 267, 6755, 337, 603, 29517, 267, 645, 872, 5633, 29517, 267, 25909, 21539, 29517, 267, 29517, 5245, 476, 14225, 274, 454, 268, 8832, 24540, 281, 715, 327, 592, 684, 321, 8500, 24857, 267, 715, 3518, 592, 8705, 24857, 267, 634, 23902, 4900, 24857, 267, 23160, 332, 8759, 24857, 267, 3057, 21531, 2967, 24857, 267, 11412, 1676, 25951, 24857, 267, 24857, 5245, 476, 5400, 279, 274, 454, 268, 24368, 281, 2859, 326, 520, 3279, 1627, 17162, 267, 674, 832, 599, 628, 1627, 17162, 267, 7085, 6894, 1627, 17162, 267, 22985, 526, 1695, 1627, 17162, 267, 1627, 17162, 5245, 476, 30156, 280, 454, 268, 3162, 5245, 281, 570, 27212, 565, 14408, 267, 7638, 323, 684, 14408, 267, 18301, 6229, 14408, 267, 29861, 525, 2917, 14408, 267, 15917, 28386, 14408, 267, 962, 684, 344, 541, 4176, 328, 14408, 267, 14408, 5245, 476, 2004, 273, 273, 454, 268, 31005, 807, 281, 15196, 518, 570, 3008, 267, 631, 836, 3570, 570, 3008, 267, 715, 629, 578, 5055, 570, 3008, 267, 570, 3008, 5245, 476, 3583, 272, 274, 454, 268, 15117, 281, 30958, 10830, 966, 2975, 267, 5261, 560, 1144, 966, 2975, 267, 570, 3317, 903, 517, 966, 2975, 267, 3162, 962, 541, 571, 966, 2975, 267, 4425, 1074, 320, 966, 2975, 267, 966, 2975, 5245, 476, 4968, 277, 454, 268, 5375, 5245, 281, 918, 1551, 573, 1446, 26146, 267, 808, 532, 531, 1575, 26146, 267, 654, 6359, 559, 1177, 1551, 574, 7991, 26146, 267, 26146, 5245, 476, 2568, 278, 275, 454, 268, 3703, 12052, 281, 1290, 2135, 7460, 267, 1323, 3467, 7460, 267, 28788, 2284, 7460, 267, 13584, 6723, 7460, 267, 30338, 7460, 267, 7460, 4516, 267, 966, 279, 310, 476, 275, 310, 280, 454, 268, 962, 4157, 517, 281, 1230, 2784, 962, 307, 267, 28822, 1180, 833, 962, 307, 267, 3367, 5112, 962, 307, 267, 10783, 4039, 4800, 962, 307, 267, 18724, 9693, 22810, 962, 307, 267, 962, 307, 4516, 267, 962, 272, 288, 476, 275, 290, 280, 454, 268, 22598, 281, 700, 558, 1180, 9474, 267, 853, 26325, 9474, 267, 3798, 3000, 2023, 9474, 267, 654, 3739, 18484, 9474, 267, 21582, 2917, 9474, 267, 10830, 11354, 9474, 267, 9474, 4516, 267, 570, 276, 298, 476, 280, 297, 274, 454, 268, 19566, 17197, 1559, 281, 700, 583, 1088, 330, 262, 324, 24857, 267, 14117, 30893, 1057, 24857, 267, 27617, 24857, 267, 654, 3419, 2917, 24857, 267, 24857, 4516, 267, 2473, 272, 288, 476, 272, 299, 279, 454, 268, 32527, 520, 3832, 9774, 281, 700, 2086, 2006, 27699, 267, 7736, 324, 822, 712, 27699, 267, 853, 4026, 529, 27699, 267, 16685, 321, 992, 27699, 267, 5617, 548, 1773, 12578, 27699, 267, 25844, 19376, 27699, 267, 27699, 4516, 267, 590, 275, 303, 476, 277, 290, 275, 454, 268, 31671, 20899, 281, 23516, 14943, 1749, 15406, 267, 3687, 527, 517, 553, 15406, 267, 23415, 22138, 15406, 267, 15406, 4516, 267, 681, 274, 289, 476, 273, 303, 280, 454, 268, 20563, 281, 27659, 2023, 1627, 290, 267, 12142, 8566, 11136, 2471, 1627, 290, 267, 595, 1774, 12142, 6441, 1075, 1627, 290, 267, 3213, 1738, 809, 1627, 290, 267, 590, 664, 974, 11219, 6756, 928, 1673, 262, 6635, 322, 1627, 290, 267, 1627, 290, 4516, 267, 670, 273, 312, 476, 274, 310, 277, 454, 268, 1715, 19839, 1873, 1157, 281, 918, 539, 326, 19213, 715, 289, 267, 23509, 6807, 5174, 2077, 565, 715, 289, 267, 590, 871, 6807, 715, 289, 267, 715, 289, 4516, 267, 661, 274, 289, 476, 273, 295, 275, 454, 268, 25429, 32108, 281, 10228, 22085, 267, 10228, 22085, 267, 11625, 537, 22085, 267, 22085, 4516, 267, 645, 274, 297, 476, 276, 306, 279, 454, 268, 13584, 11977, 6816, 281, 654, 2454, 2023, 18027, 267, 13722, 8053, 6558, 18027, 267, 7788, 663, 1446, 6441, 8077, 623, 1180, 268, 1692, 324, 7345, 18027, 267, 18027, 4516, 267, 595, 272, 288, 476, 274, 301, 274, 454, 268, 1715, 11398, 1633, 543, 6997, 30786, 281, 28199, 781, 595, 913, 715, 299, 267, 9741, 7345, 5101, 715, 299, 267, 5244, 619, 595, 913 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 814, 10294, 10168, 513, 834, 338, 518, 1190, 1857, 1072, 3463, 2580, 607, 5046, 268, 866, 5170, 547, 25409, 1860, 2950, 540, 2681, 267, 2687, 547, 513, 1867, 676, 7330, 4653, 563, 15973, 885, 540, 2681, 941, 16094, 4299, 676, 519, 11452, 543, 941, 6849, 2362, 2013, 12523, 543, 7972, 3379, 547, 824, 14797, 267, 15509, 10615, 18842, 3559, 548, 9546, 839, 5652, 1767, 538, 513, 3948, 593, 4989, 476, 279, 563, 257, 305, 659, 1143, 568, 711, 1175, 519, 7130, 1996, 835, 1895, 1759, 593, 519, 2681, 540, 741, 2960, 610, 741, 5198, 610, 14940, 267, 855, 519, 7293, 7496, 602, 1764, 7292, 543, 6803, 2516, 8335, 547, 3310, 1141, 513, 1268, 2729, 267, 1141, 789, 960, 267, 1141, 741, 1453, 1404, 267, 543, 1141, 789, 10847, 543, 5531, 538, 2146, 2437, 1767, 9546, 839, 5652, 563, 300, 20047, 540, 4563, 267, 1977, 4095, 610, 14522, 5065, 267, 17104, 543, 7489, 2950, 941, 909, 547, 476, 273, 269, 275, 2053, 811, 2693, 547, 5884, 689, 5046, 268, 866, 3379, 547, 3043, 2550, 267, 2687, 547, 519, 15509, 563, 4322, 1482, 2516, 849, 941, 909, 547, 476, 274, 269, 278, 2053, 811, 2693, 547, 581, 32509, 689, 519, 3644, 563, 310, 531, 839, 5652, 1767, 519, 13103, 6534, 998, 519, 6855, 2322, 513, 30425, 593, 513, 5812, 5817, 3390, 1107, 10168, 1107, 538, 519, 772, 2529, 10756, 257, 18183, 1258, 1154, 519, 1764, 540, 10168, 786, 711, 581, 2653, 269, 594, 917, 602, 649, 666, 2743, 713, 4161, 2437, 9546, 839, 5652, 1767, 269, 0, 31714, 1058, 6430, 2436, 547, 1205, 519, 6669, 1759, 593, 741, 1378, 4879, 540, 4220, 538, 15360, 609, 5483, 2564, 4648, 563, 763, 2203, 540, 631, 732, 330, 779, 2068, 12462, 548, 21294, 892, 1875, 268, 3122, 559, 1944, 267, 1875, 16250, 23018, 1944, 10074, 602, 2569, 2589, 855, 798, 711, 3247, 3968, 610, 6771, 264, 543, 519, 1523, 540, 519, 22731, 4165, 3394, 545, 16429, 630, 1492, 3355, 2215, 532, 540, 519, 4761, 1062, 28639, 519, 4761, 3210, 547, 519, 19800, 610, 2147, 19800, 1272, 17489, 264, 949, 2491, 1018, 649, 616, 5732, 6849, 1631, 609, 891, 2527, 31433, 540, 5046, 10074, 281, 4761, 9101, 267, 2799, 6771, 267, 5488, 6771, 543, 5732, 811, 968, 14653, 614, 892, 14726, 563, 300, 663, 919, 1267, 538, 519, 7142, 9668, 543, 17478, 540, 2486, 269, 1358, 1711, 10898, 585, 1004, 538, 741, 3318, 2729, 269, 1280, 1383, 267, 1946, 1131, 6608, 20818, 5309, 1438, 4876, 17038, 18146, 6669, 31433, 593, 606, 796, 341, 3147, 3990, 12016, 945, 568, 1034, 2693, 2907, 4761, 1813, 547, 2067, 4598, 888, 300, 663, 919, 849, 2099, 606, 1958, 549, 16670, 593, 5191, 543, 23118, 267, 543, 1289, 883, 2243, 519, 24500, 3297, 891, 31433, 950, 519, 2257, 2982, 1100, 1857, 4324, 3379, 609, 519, 3790, 563, 19350, 616, 476, 2641, 2090, 602, 1289, 883, 2243, 5046, 268, 866, 6669, 31433, 18876, 27231, 8234, 3698, 1619, 476, 2641, 5525, 8058, 532, 28404, 13495, 919, 589, 1066, 1406, 9122, 593, 3163, 3040, 5753, 779, 2657, 16470, 0, 288, 11879, 5811, 540, 8210, 5558, 17214, 676, 22798, 543, 12124, 4841, 538, 12882, 11366, 391, 506, 302, 5889, 23717, 5426, 9119, 7433, 476, 272, 630, 6110, 279, 270, 272, 264, 538, 1744, 584, 1872, 342, 328, 543, 717, 4546, 340, 5940, 12230, 267, 25472, 454, 21292, 281, 3901, 3012, 673, 5470, 267, 12882, 11366, 385, 497, 302, 5889, 11366, 5426, 1053, 267, 6917, 1053, 267, 4683, 1053, 267, 2010, 540, 6959, 267, 5470, 2079, 267, 5470, 6439, 2305, 454, 1607, 1353, 9691, 11567, 543, 21845, 6310, 6959, 1500, 676, 17288, 6917, 543, 4683, 25472, 18103, 2435, 5426, 1053, 945, 5206, 513, 1449, 7550, 689, 519, 2098, 296, 5960, 4488, 476, 1001, 273, 2250, 6514, 1957, 630, 6110, 279, 270, 272, 1040, 26062, 1053, 693, 513, 6917, 1153, 538, 1744, 584, 1872, 342, 328, 10588, 543, 8938, 1053, 540, 2147, 4162, 630, 21955, 585, 4087, 610, 8664, 264, 693, 606, 4683, 1153, 538, 717, 4546, 340, 10588, 941, 14477, 25541, 269, 5999, 476, 272, 543, 476, 278, 630, 541, 10379, 543, 15821, 6354, 2827, 1070, 476, 273, 543, 476, 2641, 630, 17595, 558, 19318, 1983, 268, 6482, 267, 27864, 267, 30580, 543, 12166, 25481, 264, 543, 476, 279, 543, 476, 1428, 630, 5320, 2042, 264, 941, 1625, 1842, 1947, 25541, 543, 1053, 5889, 23717, 2854, 543, 6825, 20072, 941, 16271, 547, 513, 2565, 2079, 540, 6959, 269, 634, 6959, 941, 9286, 883, 5216, 6688, 6069, 676, 13660, 325, 637, 928, 630, 1001, 273, 264, 543, 891, 941, 5470, 538, 1702, 267, 5470, 538, 5578, 267, 5470, 538, 1523, 267, 5470, 538, 1818, 4296, 267, 5470, 538, 4640, 7145, 267, 5470, 538, 15007, 267, 5470, 538, 1184, 543, 5470, 538, 3898, 269, 24908, 2409, 630, 12702, 3201, 6709, 534, 267, 1543, 543, 4612, 22999, 264, 9382, 540, 6959, 1500, 676, 519, 6917, 1053, 543, 1346, 1500, 676, 519, 4683, 1053, 941, 1500, 269, 634, 1353, 3091, 2009, 2994, 602, 3610, 538, 6917, 543, 4683, 2127, 666, 946, 547, 6439, 1518, 1053, 5889, 23717, 6310, 6959, 538, 519, 4928, 3510, 543, 8309, 547, 519, 1560, 540, 1702, 593, 6310, 5470, 2079, 269, 26115, 26115, 26115, 454, 5889, 11366, 10634, 11831, 267, 667, 269, 700, 1421, 774, 1868, 267, 631, 1421, 1299, 623, 3559, 1186, 267, 717, 269, 630, 1220, 279, 1040, 12474, 1702, 585, 3450, 281, 1548, 2306, 621, 2027, 286, 4750, 540, 11819, 4065, 476, 6795, 263, 276, 1070, 6032, 269, 476, 4343, 280, 268, 2412, 278, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 14056, 278, 270, 16573, 27886, 278, 1015, 279, 3953, 3393, 276, 275, 454, 5889, 11366, 10634, 29078, 565, 4472, 328, 267, 661, 1421, 13019, 14150, 12728, 31086, 267, 670, 1421, 23520, 332, 656, 541, 267, 631, 12171, 269, 1299, 5915, 597, 267, 590, 269, 630, 1001, 272, 1040, 2776, 4149, 16291, 543, 769, 4149, 16291, 11334, 5889, 11366, 385, 372, 14358, 540, 519, 17796, 540, 4841, 5889, 11366, 385, 372, 19556, 5262, 2159, 625, 269, 4139, 18329, 4750, 540, 9119, 4065, 12882, 11366, 2108, 594, 383, 492, 28462, 297, 300, 383, 492, 28462, 476, 277, 267, 630, 272, 1070, 6032, 269, 476, 2412, 268, 6795, 563, 5889, 11366, 10634, 932, 597, 2541, 267, 590, 269, 630, 1001, 273, 1040, 26805, 9119, 17520, 543, 8490, 15474, 5900, 6421, 281, 589, 7420, 1280, 11334, 543, 4841, 269, 634, 29325, 651, 267, 476, 277, 263, 272, 1070, 6032, 269, 1428, 268, 3451, 563, 5889, 11366, 10634, 932, 597, 2541, 267, 590, 269, 1299, 932, 1731, 26474, 267, 589, 2529, 269, 630, 1001, 275, 1040, 589, 11879, 5811, 540, 519, 11790, 18748, 532, 19793, 22777, 538, 18520, 3427, 9119, 538, 25472, 281, 589, 8865, 5530, 540, 717, 4546, 340, 10588, 269, 8585, 527, 3194, 4750, 540, 4065, 543, 5623, 267, 476, 273, 263, 280, 1070, 6032, 269, 476, 3707, 268, 1708, 563, 5889, 11366, 10634, 28137, 267, 700, 14371, 269, 1299, 1975, 16780, 10719, 267, 700, 12282, 269, 630, 1220, 278, 1040, 10495, 540, 5753, 543, 15272, 609, 7981, 20126, 269, 8585, 18115, 267, 6032, 269, 476, 26783, 268, 28091, 563, 5889, 11366, 10634, 13660, 325, 637, 928, 267, 681, 269, 630, 1001, 273, 1040, 4569, 476, 14681, 18438, 5811, 269, 8158, 593, 476, 3066, 270, 1015, 270, 1428, 689, 5291, 2517, 15161, 269, 336, 20345, 6745, 600, 340, 12975, 270, 5361, 2940, 269, 706, 325, 637, 928, 270, 25531, 270, 4118, 5611, 270, 13043, 318, 5611, 270, 4910, 1545, 6958, 3796, 270, 19587, 534, 4519, 15005, 454, 5889, 11366, 10634, 4432, 1962, 1074, 267, 631, 269, 630, 1220, 279, 1040, 22718, 543, 18601, 5871, 19556, 8210, 5558, 538, 18520, 4065, 269, 1496, 15761, 2105, 19080, 17593, 338, 4940, 645, 2529, 269, 7201, 12392, 9119, 16510, 267, 476, 276, 263, 272, 1070, 6032, 269, 476, 272, 268, 275, 454, 5889, 11366, 10634, 29527, 267, 623, 269, 630, 1220, 275, 1040, 634, 13898, 540, 9119, 4065, 269, 30296, 24415, 1067, 267, 13177, 543, 14731, 552, 6441, 3869, 267, 9768, 476, 271, 268, 10711, 268, 5392, 278, 4905, 268, 276, 1496, 22913, 552, 26247, 2639, 5889, 11366, 10634, 18438, 23694, 5811, 267, 630, 333, 6155, 1040, 8158, 593, 689, 5291, 2517, 338, 2133, 6618, 687, 21993, 340, 12975, 270, 349, 14588, 764, 517, 333, 270, 2457, 270, 13318, 2315, 270, 4118, 9706, 4206, 270, 6312, 1181, 534, 4519, 15005, 454, 5889, 11366, 10634, 8493, 2465, 267, 589, 1421, 1299, 7935, 23135, 267, 918, 269, 630, 1001, 276, 1040, 589, 4116, 5889, 23717, 338, 6278, 609, 15226, 6959, 538, 1200, 6103, 476, 280, 6128, 4928, 269, 19456, 23768, 267, 476, 3607, 263, 273, 1070, 6032, 269, 476, 272, 268, 280, 269, 8158, 593, 476, 279, 270, 6860, 270, 1626, 689, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 25148, 273, 9706, 17233, 23768, 18192, 3607, 328, 273, 269, 27840, 454, 5889, 11366, 10634, 670, 597, 1662, 9874, 267, 570, 1421, 1299, 9710, 580, 1276, 328, 267, 570, 269, 630, 1001, 277, 1040, 20520, 540, 15465, 18366, 676, 18438, 13305, 529, 783, 1436, 281, 18438, 15369, 29896, 543, 4706, 19750, 2422, 538, 3163, 4804, 269, 22219, 4139, 14539, 16848, 267, 808, 8160, 269, 15190, 528, 1696, 620, 269, 630, 2644, 13776, 4804, 267, 5071, 267, 543, 5303, 267, 20396, 476, 1015, 269, 1911, 278, 270, 7818, 268, 274, 268, 29204, 268, 10082, 2767, 268, 275, 318, 280, 268, 272, 454, 5889, 11366, 10634, 918, 525, 1088, 267, 595, 269, 630, 539, 4700, 630, 1220, 280, 1040, 9752, 11334, 9119, 281, 3194, 267, 14313, 267, 18768, 267, 16214, 269, 19556, 7070, 3194, 4659, 267, 20588, 267, 4993, 454, 5889, 11366, 10634, 918, 4141, 327, 2401, 2073, 631, 12282, 1421, 631, 880, 571, 267, 623, 1421, 918, 699, 1663, 1731, 267, 918, 1421, 1744, 514, 267, 570, 2529, 1421, 1299, 24023, 267, 595, 10611, 269, 630, 1001, 275, 1040, 634, 25895, 16677, 698, 16479, 12474, 11310, 17563, 269, 769, 808, 8160, 269, 15190, 528, 267, 808, 8160, 269, 1696, 620, 269, 630, 2644, 13776, 18361, 540, 3194, 593, 12409, 18058, 543, 5303, 267, 22219, 3163, 266, 19968, 9012, 1715, 3840, 267, 476, 6200, 20396, 476, 1015, 269, 1911, 278, 270, 7818, 268, 272, 268, 5379, 272, 275, 268, 28760, 276, 268, 276, 318, 280, 563, 5889, 11366, 10634, 700, 6856, 12789, 267, 674, 14389, 269, 630, 1220, 276, 1040, 2201, 519, 7811, 267, 12497, 267, 543, 10952, 13210, 585, 1382, 538, 6128, 2069, 269, 2098, 19699, 476, 4391, 263, 277, 1070, 6032, 269, 476, 3393, 278, 268, 5379, 278, 563, 5889, 11366, 10634, 12389, 8725, 267, 918, 6185, 269, 630, 1001, 276, 1040, 22043, 532, 6959, 538, 519, 700, 273, 4928, 281, 1053, 262, 543, 3610, 262, 11994, 269, 4860, 16695, 5082, 337, 12728, 23326, 333, 3821, 1642, 700, 15115, 1690, 324, 267, 630, 273, 1070, 6032, 269, 476, 272, 268, 3607, 563, 5889, 11366, 10634, 7200, 27231, 267, 681, 1421, 631, 1961, 10623, 267, 715, 269, 1299, 7935, 23135, 267, 918, 269, 630, 1001, 272, 1040, 22544, 281, 18438, 5811, 540, 9119, 4530, 27294, 269, 8158, 593, 476, 3066, 270, 1015, 270, 1428, 689, 5291, 2517, 29715, 800, 4118, 338, 539, 14492, 7933, 5877, 13624, 537, 27231, 15005, 454, 5889, 11366, 10634, 700, 684, 9508, 267, 918, 269, 630, 1001, 276, 1040, 4197, 1053, 5889, 23717, 20887, 281, 1323, 2079, 540, 3803, 6103, 476, 1321, 6514, 2055, 538, 9511, 269, 19456, 23768, 267, 476, 3607, 263, 272, 1070, 3203, 269, 1948, 28360, 267, 476, 1556, 3817, 269, 8158, 593, 476, 2641, 270, 277, 270, 1626, 689, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 25148, 273, 9706, 17233, 23768, 18192, 3607, 328, 272, 269, 28360, 454, 5889, 11366, 10634, 27526, 1731, 1695, 611, 345, 1195, 328, 267, 631, 10611, 269, 630, 1001, 274, 1040, 11334, 5889, 23717, 1702, 540, 519, 1523, 540, 513, 1599, 281, 589, 7811, 5943, 269, 4139, 4750, 540, 3163, 543, 9119, 4065, 476, 1724, 630, 11045, 331, 476, 273, 2567, 6032, 269, 476, 28360, 268, 27543, 563, 5889, 11366, 10634, 17664, 267, 589, 269, 1299, 2201, 342, 826, 326, 321, 15120, 773, 267, 589, 12282, 269, 630, 1001, 273, 1040, 2776, 28700, 540, 24908, 10613, 3194, 538, 9119, 4065, 269, 634, 9119, 3447, 1807, 267, 476, 2420, 263, 272, 1070, 6032, 269, 476, 10019, 5889, 11366, 2108, 13647, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 2016, 2875, 8939, 713, 2852, 568, 1507, 267, 543, 8263, 513, 13065, 540, 21566, 273, 3160, 547, 533, 263, 272, 1790, 1040, 1548, 3044, 11539, 1131, 596, 2503, 538, 519, 21496, 2698, 540, 1007, 679, 1503, 548, 525, 267, 14322, 4986, 2242, 538, 713, 2551, 689, 1032, 547, 1032, 2496, 8584, 264, 476, 5611, 454, 17070, 264, 476, 2004, 454, 2275, 264, 476, 1220, 454, 1673, 264, 476, 7742, 454, 3887, 264, 476, 4335, 692, 276, 264, 1280, 513, 23481, 3892, 609, 562, 8062, 267, 519, 13065, 568, 21566, 273, 284, 12639, 263, 272, 1790, 1040, 1403, 476, 3445, 8062, 616, 4767, 267, 1287, 476, 6924, 260, 540, 519, 942, 519, 4767, 1297, 540, 2318, 4093, 786, 2887, 1369, 13008, 13090, 540, 519, 4397, 1871, 952, 533, 284, 269, 1556, 568, 519, 5506, 540, 513, 2318, 6364, 269, 5269, 519, 19406, 602, 713, 23481, 3892, 568, 5111, 513, 21714, 630, 7538, 264, 3892, 6393, 8584, 264, 476, 280, 454, 1532, 264, 476, 272, 454, 2275, 264, 476, 1240, 454, 266, 323, 264, 476, 274, 454, 3887, 264, 476, 277, 692, 277, 264, 31962, 602, 1152, 476, 275, 269, 277, 260, 540, 519, 4093, 585, 513, 3339, 3892, 9114, 3544, 540, 1079, 3044, 24017, 689, 519, 1611, 267, 543, 16977, 519, 23481, 3892, 607, 3339, 585, 1804, 2338, 269, 1403, 519, 13065, 568, 21566, 273, 284, 12639, 263, 272, 1790, 264, 1141, 562, 568, 519, 1297, 540, 8062, 543, 533, 284, 269, 1556, 568, 519, 5506, 540, 513, 2318, 6364, 585, 476, 3445, 8062, 267, 10199, 476, 7176, 260, 540, 519, 4093, 786, 581, 4130, 982, 5111, 6449, 692, 8584, 264, 476, 1321, 454, 17070, 264, 476, 1626, 454, 2275, 264, 476, 277, 454, 1673, 264, 476, 2420, 454, 3887, 264, 476, 279, 692, 278, 264, 589, 5276, 8701, 6500, 2824, 338, 513, 5057, 540, 519, 3167, 2361, 269, 4746, 267, 519, 1648, 5860, 540, 1769, 568, 14354, 547, 519, 4009, 540, 519, 3167, 2361, 269, 1133, 335, 6897, 1242, 1769, 791, 532, 525, 593, 1614, 5276, 12086, 269, 634, 2034, 568, 20218, 476, 1789, 4113, 689, 519, 1101, 267, 543, 519, 3791, 568, 29352, 676, 606, 3606, 476, 2568, 4113, 267, 1818, 621, 693, 1318, 7285, 689, 519, 1101, 6882, 269, 1548, 6824, 540, 519, 1379, 10071, 593, 519, 1101, 6882, 19674, 689, 519, 2063, 2496, 8584, 264, 476, 272, 270, 279, 454, 1532, 264, 476, 274, 270, 1626, 454, 2275, 264, 476, 272, 270, 1626, 454, 266, 323, 264, 476, 274, 270, 3953, 454, 3887, 264, 476, 272, 270, 3953, 692, 279, 264, 589, 5276, 8701, 6500, 2824, 338, 513, 5057, 540, 519, 3167, 2361, 269, 4746, 267, 519, 1648, 5860, 540, 1769, 568, 14354, 547, 519, 4009, 540, 519, 3167, 2361, 269, 1635, 1018, 3815, 1281, 513, 6882, 2569, 519, 3167, 2361, 952, 621, 568, 20218, 476, 1789, 4113, 547, 602, 2361, 2496, 8584, 264, 12276, 6234, 11513, 339, 2765, 2715, 272, 2410, 275, 3686, 21456, 1532, 264, 12276, 6234, 11513, 339, 2765, 2715, 274, 2410, 275, 3686, 21456, 2275, 264, 12276, 6234, 11513, 339, 2765, 2715, 272, 7346, 6912, 2715, 273, 3686, 3686, 14204, 1673, 264, 12276, 6234, 11513, 339, 2765, 2715, 272, 2410, 273, 3686, 21456, 266, 324, 264, 12276, 6234, 11513, 339, 2765, 11513, 6912, 2715, 274, 12453, 273, 3686, 10592, 280, 264, 589, 5276, 8701, 6500, 2824, 338, 513, 5057, 540, 519, 3167, 2361, 269, 4746, 267, 519, 1648, 5860, 540, 1769, 568, 14354, 547, 519, 4009, 540, 519, 3167, 2361, 269, 589, 476, 1321, 544, 310, 8955, 16716, 513, 8701, 1944, 6882, 20218, 476, 1789, 4113, 547, 519, 19670, 7852, 540, 26445, 269, 1215, 1454, 1379, 10596, 519, 6882, 2496, 8584, 264, 476, 279, 332, 310, 454, 1532, 264, 476, 274, 332, 310, 454, 2275, 264, 476, 277, 332, 310, 454, 266, 323, 264, 476, 280, 332, 310, 454, 3887, 264, 476, 275, 332, 310, 692, 1015, 264, 634, 1769, 568, 31085, 8701, 1242, 267, 519, 3167, 2361, 568, 20218, 13322, 1729, 519, 4287, 540, 5163, 692, 8584, 264, 693, 476, 3393, 5232, 454, 1532, 264, 782, 540, 891, 616, 2009, 454, 2275, 264, 6252, 454, 266, 323, 264, 13902, 692, 1556, 264, 1215, 1454, 798, 519, 4891, 3094, 610, 6336, 952, 7705, 4267, 476, 275, 27501, 510, 547, 918, 27501, 510, 1247, 7585, 4267, 476, 275, 547, 589, 2496, 8584, 264, 1100, 2798, 13752, 610, 4503, 454, 17070, 264, 6336, 476, 274, 2798, 454, 2275, 264, 3094, 476, 272, 1448, 454, 1673, 264, 6336, 1627, 2798, 692, 1321, 264, 14597, 22275, 324, 3792, 1206, 9243, 18176, 609, 1627, 284, 275, 543, 12134, 519, 1482, 2243, 609, 513, 5506, 13662, 284, 271, 269, 1839, 269, 901, 6971, 519, 3328, 2530, 2557, 585, 741, 4891, 585, 519, 1739, 2601, 281, 6333, 513, 5506, 2230, 609, 692, 8584, 264, 476, 274, 8449, 21483, 2621, 281, 2201, 1079, 789, 616, 2016, 1114, 2055, 267, 10888, 7466, 269, 2201, 519, 3791, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 6336, 513, 1448, 563, 1532, 264, 476, 275, 8449, 21483, 2621, 281, 2201, 1614, 789, 616, 2016, 1114, 2055, 267, 10888, 2899, 855, 9561, 7466, 269, 2201, 519, 8772, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 6336, 513, 1448, 563, 2275, 264, 476, 274, 8449, 21483, 2621, 281, 2201, 1079, 789, 616, 2016, 1114, 2055, 267, 10888, 2899, 543, 9561, 2899, 269, 2201, 519, 3791, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 6336, 513, 1448, 563, 266, 323, 264, 476, 275, 8449, 21483, 2621, 281, 2201, 1614, 789, 616, 2016, 1114, 2055, 267, 10888, 7466, 855, 9561, 2899, 269, 2201, 519, 8772, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 9444, 2744, 6862, 6336, 513, 1448, 563, 3887, 264, 476, 274, 8449, 21483, 2621, 281, 2201, 1079, 789, 616, 2016, 1114, 2055, 267, 10888, 2899, 543, 9561, 2899, 269, 2201, 519, 3791, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 9444, 2744, 6862, 6336, 513, 1448, 780, 1724, 264, 14597, 519, 4891, 3442, 519, 16061, 4640, 630, 6518, 729, 711, 2139, 538, 519, 1151, 7534, 790, 4528, 1040, 1548, 616, 519, 1655, 543, 10782, 2009, 4093, 585, 519, 4891, 286, 630, 10112, 2541, 585, 713, 2243, 602, 12276, 6234, 1627, 285, 274, 4151, 1109, 2020, 8584, 264, 7454, 585, 4891, 281, 12276, 6234, 476, 271, 4151, 1109, 3267, 1937, 560, 281, 12276, 6234, 910, 274, 21456, 1532, 264, 7454, 585, 4891, 281, 12276, 6234, 1341, 272, 4151, 1109, 3267, 1937, 560, 281, 12276, 6234, 910, 274, 21456, 2275, 264, 7454, 585, 4891, 281, 12276, 6234, 476, 271, 4151, 1109, 3267, 1937, 560, 281, 12276, 6234, 910, 304, 21456, 1673, 264, 7183, 540, 891, 568, 2953, 454, 266, 324, 264, 7454, 585, 4891, 281, 12276, 6234, 1341, 272, 4151, 1109, 3267, 1937, 560, 281, 12276, 6234, 910, 304, 10592, 1691, 264, 1403, 513, 476, 274, 552, 309, 27141, 16716, 513, 4496, 6676, 543, 3123, 606, 6475, 547, 9101, 267, 602, 6475, 786, 723, 513, 15452, 1648, 602, 568, 692, 8584, 264, 3160, 547, 476, 274, 552, 309, 454, 1532, 264, 4642, 454, 25239, 264, 1447, 982, 476, 274, 552, 309, 454, 1673, 264, 3152, 982, 476, 274, 552, 309, 454, 3887, 264, 3160, 547, 476, 277, 552, 309, 692, 1428, 264, 1403, 606, 11046, 32307, 1079, 22726, 538, 513, 22107, 1228, 12998, 543, 1312, 22726, 723, 476, 273, 552, 309, 540, 1648, 267, 519, 11046, 781, 1648, 692, 8584, 264, 4679, 676, 476, 275, 552, 309, 454, 1532, 264, 13978, 519, 1482, 454, 25239, 264, 11081, 676, 476, 275, 552, 309, 454, 1673, 264, 4679, 676, 476, 273, 552, 309, 454, 3887, 264, 11081, 676, 476, 273, 552, 309, 454, 1626, 264, 901, 4137, 568, 2404, 609, 454, 8584, 264, 15845, 4843, 538, 476, 5197, 271, 602, 1769, 568, 513, 5951, 563, 17070, 264, 5262, 3555, 4767, 538, 1769, 865, 25861, 602, 22726, 8604, 547, 723, 1100, 7271, 547, 2170, 609, 1142, 824, 630, 10849, 5703, 538, 476, 5002, 280, 994, 2275, 264, 589, 1062, 2147, 547, 519, 835, 602, 3366, 547, 519, 476, 5002, 272, 11556, 602, 1769, 1648, 568, 3067, 1242, 607, 7533, 23385, 540, 554, 325, 630, 21955, 602, 1773, 1678, 10924, 602, 519, 6821, 941, 25801, 8094, 1673, 264, 7353, 976, 11495, 4496, 543, 30275, 532, 9211, 630, 874, 9369, 3887, 10431, 1198, 6045, 538, 476, 5002, 276, 994, 3887, 264, 634, 4483, 540, 1648, 543, 11610, 540, 513, 1164, 1648, 27141, 540, 513, 5176, 1863, 6475, 780, 1704, 264, 5565, 3109, 4703, 540, 616, 2813, 676, 5969, 9838, 1507, 9475, 538, 1079, 1804, 11149, 269, 634, 9475, 616, 20218, 865, 602, 782, 519, 22726, 6028, 835, 786, 4283, 519, 824, 269, 634, 3615, 723, 1114, 2837, 543, 1114, 4320, 269, 6904, 1843, 814, 519, 3152, 13590, 9497, 31688, 517, 8442, 1648, 2496, 8584, 264, 634, 28555, 1843, 814, 513, 3152, 1648, 563, 1532, 264, 1358, 723, 519, 1482, 1648, 630, 26238, 519, 9475, 616, 9838, 1916, 25239, 264, 3143, 2189, 2626, 6818, 1317, 1079, 4632, 616, 3238, 630, 339, 17687, 543, 4320, 1916, 1673, 264, 634, 3677, 1843, 814, 513, 3152, 1648, 563, 1240, 264, 1403, 513, 1297, 568, 14477, 5697, 689, 519, 1305, 2715, 273, 267, 274, 267, 275, 267, 276, 9574, 1018, 568, 623, 263, 18905, 11924, 303, 16216, 1597, 1070, 610, 519, 2040, 540, 519, 5506, 602, 621, 568, 1256, 267, 7132, 519, 5506, 602, 621, 568, 6305, 888, 8584, 264, 476, 272, 270, 273, 454, 1532, 264, 476, 272, 454, 25239, 264, 476, 276, 270, 275, 454, 1673, 264, 476, 271, 454, 3887, 264, 476, 274, 270, 275, 454, 1922, 264, 476, 272, 270, 275, 454, 866, 264, 12433, 519, 6027, 5506, 912, 303, 263, 27501, 510, 267, 264, 815, 1109, 888, 10112, 2541, 519, 15956, 2099, 2947, 7422, 563, 8584, 264, 476, 276, 270, 277, 454, 17070, 264, 476, 273, 270, 276, 454, 2275, 264, 476, 274, 270, 275, 454, 1673, 264, 476, 274, 270, 276, 454, 3887, 264, 476, 273, 270, 275, 284, 272, 270, 273, 454, 736, 264, 1403, 513, 1297, 568, 14477, 5697, 689, 519, 1305, 2715, 273, 267, 274, 267, 275, 267, 276, 9574, 1018, 568, 519, 5506, 602, 621, 568, 1312, 1256, 543, 6305, 888, 8584, 264, 476, 272, 454, 1532, 264, 476, 276, 270, 275, 454, 2275, 264, 476, 274, 270, 275, 454, 1673, 264, 476, 272, 270, 273, 454, 3887, 264, 476, 271, 454, 266, 325, 264, 476, 272, 270, 275, 692, 2162, 13852, 281, 289, 749, 274, 281, 309, 272, 692, 289, 749, 13923, 9262, 275, 21327, 19442, 692, 272, 264, 1280, 513, 23481, 3892, 609, 562, 8062, 267, 519, 13065, 568, 21566, 273, 284, 12639, 263, 272, 1790, 1040, 1403, 476, 3445, 8062, 616, 4767, 267, 1287, 476, 6924, 260, 540, 519, 942, 519, 4767, 1297, 540, 2318, 4093, 786, 2887, 1369, 13008, 13090, 540, 519, 4397, 1871, 952, 533, 284, 269, 1556, 568, 519, 5506, 540, 513, 2318, 6364, 269, 5269, 519, 19406, 602, 713, 23481, 3892, 568, 5111, 513, 21714, 630, 7538, 264, 3892, 6393, 320, 264, 476, 1240, 454, 321, 264, 476, 272, 454, 322, 264, 476, 274, 454, 323, 264, 476, 280, 454, 324, 264, 476, 277, 692, 273, 264, 1411, 1151, 7534, 790, 16064, 3096, 2340, 503, 510, 2340, 503, 352, 543, 707, 2626, 6486, 616, 476, 275, 543, 476, 276, 269, 1411, 2824, 476, 275, 27501, 510, 267, 476, 276, 27501, 352, 267, 543, 476, 276, 269, 1403, 519, 2055, 941, 1627, 27501, 510, 543, 1627, 27501, 352, 269, 6904, 540, 519, 1739, 17993, 2496, 320, 264, 918, 543, 918, 27501, 510, 454, 321, 264, 9039, 540, 891, 616, 3020, 454, 322, 264, 918, 27501, 510, 543, 918, 27501, 352, 454, 323, 264, 918, 543, 918, 27501, 352, 454, 324, 264, 1079, 540, 891, 616, 3020, 692, 274, 264, 14597, 22275, 324, 3792, 1206, 9243, 18176, 609, 1627, 284, 275, 543, 12134, 519, 1482, 2243, 609, 513, 5506, 13662, 284, 271, 269, 1839, 269, 901, 6971, 519, 3328, 2530, 2557, 585, 741, 4891, 585, 519, 1739, 2601, 281, 6333, 513, 5506, 2230, 609, 692, 320, 264, 476, 274, 8449, 21483, 2621, 281, 2201, 1079, 789, 616, 2016, 1114, 2055, 267, 10888, 7466, 269, 2201, 519, 3791, 2680, 789, 616, 2016, 519, 1482, 2626, 543, 6336, 513, 1448, 563, 321, 264, 476, 274, 8449, 21483, 2621, 281, 2201, 1079, 789, 616, 2016, 1114, 2055, 267, 10888, 2899, 543, 9561, 2899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 543, 13343, 14472, 5460, 531, 781, 960, 593, 853, 269, 22956, 7512, 3988, 547, 556, 29264, 519, 3020, 2495, 540, 8285, 269, 27933, 560, 5010, 1436, 543, 16712, 1143, 267, 4509, 513, 2178, 4276, 547, 4295, 4168, 2418, 1282, 519, 9702, 4005, 666, 6961, 4101, 269, 1635, 6313, 519, 1272, 543, 9371, 540, 853, 269, 22956, 267, 1053, 786, 2992, 593, 875, 789, 666, 8190, 6209, 5389, 543, 11349, 513, 6891, 540, 28908, 267, 2648, 267, 543, 8296, 2429, 519, 1032, 780, 9654, 269, 6820, 16890, 4721, 543, 3955, 8588, 1145, 7324, 20271, 894, 10271, 692, 30655, 725, 1063, 15061, 10271, 538, 4000, 543, 3345, 3013, 6542, 519, 2484, 23568, 1764, 540, 5132, 2861, 5121, 269, 1452, 12352, 5031, 519, 2956, 540, 3444, 14426, 5188, 543, 17604, 538, 5009, 3838, 3853, 543, 5466, 1455, 2591, 269, 4841, 786, 8495, 2013, 2090, 540, 3811, 21769, 1063, 15061, 10271, 5001, 543, 6218, 1761, 2640, 543, 19363, 2404, 609, 971, 18129, 780, 23997, 269, 10390, 692, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 1896, 1883, 4798, 1644, 547, 8567, 267, 4984, 267, 543, 7881, 269, 3245, 2565, 6278, 609, 2442, 3332, 547, 2518, 12352, 1851, 15061, 10271, 267, 1142, 1888, 19156, 519, 4644, 540, 10188, 1950, 5837, 8916, 609, 20559, 618, 267, 7326, 267, 543, 11419, 269, 11086, 267, 1053, 1058, 10836, 689, 713, 1770, 1732, 9280, 547, 7119, 538, 16268, 7391, 1472, 10296, 1514, 4145, 543, 3565, 9797, 547, 519, 5571, 4720, 540, 4168, 2713, 543, 7881, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 272, 16006, 1750, 619, 585, 9400, 454, 2467, 781, 865, 1454, 547, 3365, 7596, 538, 9400, 29861, 9469, 267, 3081, 15537, 8751, 9469, 267, 971, 607, 1010, 30270, 1996, 3983, 4984, 269, 1809, 646, 781, 856, 540, 1010, 3178, 454, 514, 1010, 1007, 1433, 267, 634, 2696, 5548, 4288, 267, 950, 646, 6285, 782, 3029, 540, 5132, 269, 2311, 26676, 540, 674, 8962, 563, 14197, 13482, 15424, 5758, 454, 23087, 540, 3803, 3527, 593, 9086, 676, 519, 476, 4037, 628, 4937, 13482, 540, 519, 9210, 4593, 29914, 5783, 7330, 267, 3177, 676, 519, 4144, 665, 3150, 540, 9628, 563, 8624, 712, 16968, 267, 589, 274, 2450, 1957, 267, 23489, 3600, 13681, 520, 3898, 563, 3722, 290, 814, 2813, 513, 3978, 4161, 454, 1103, 5477, 5783, 3091, 713, 1557, 676, 717, 3796, 2696, 323, 731, 563, 288, 6648, 676, 18007, 534, 13879, 269, 630, 9827, 4063, 513, 3296, 593, 519, 1318, 827, 454, 1805, 22956, 281, 589, 6251, 1413, 693, 8285, 676, 15608, 24747, 518, 543, 13343, 14472, 5460, 531, 8094, 289, 3754, 547, 519, 1357, 676, 519, 1482, 11570, 3297, 7671, 569, 1133, 325, 7037, 23597, 269, 630, 15899, 2000, 13554, 538, 13095, 1091, 454, 262, 8256, 969, 894, 10271, 538, 4000, 1589, 3013, 814, 4503, 922, 1259, 269, 1924, 789, 2811, 11836, 4229, 609, 1977, 11122, 2510, 547, 3142, 519, 454, 17304, 603, 1394, 547, 519, 2136, 2276, 269, 670, 792, 827, 519, 1007, 9742, 540, 3979, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 4168, 12389, 1315, 4937, 1315, 15979, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 3245, 26913, 547, 15213, 281, 661, 2006, 322, 11692, 543, 2561, 1370, 1182, 1222, 538, 25706, 692, 1103, 713, 3184, 267, 649, 786, 2263, 606, 1898, 1974, 538, 20299, 4618, 1686, 1634, 607, 31414, 543, 29095, 1222, 269, 901, 5736, 7436, 513, 1713, 7432, 1448, 950, 1004, 945, 941, 2899, 20665, 3459, 741, 3460, 2509, 5191, 256, 1809, 1018, 1281, 602, 1611, 4010, 286, 2913, 781, 4685, 883, 519, 4241, 1650, 540, 875, 1919, 4957, 585, 1082, 12703, 2043, 538, 25706, 1282, 891, 2053, 780, 2414, 2253, 609, 267, 1577, 781, 1174, 1018, 1272, 729, 899, 1354, 31414, 269, 1280, 936, 476, 1220, 1296, 267, 3979, 2367, 267, 2021, 267, 543, 1453, 941, 3144, 2476, 689, 741, 5321, 1996, 741, 786, 543, 4547, 547, 25706, 547, 960, 593, 24914, 1107, 1804, 11396, 1141, 7031, 971, 607, 10931, 2117, 2033, 267, 6995, 267, 543, 10412, 8057, 269, 1452, 20338, 2968, 10437, 267, 7142, 547, 798, 2182, 4074, 896, 15265, 2175, 269, 4256, 2729, 941, 4904, 609, 7092, 543, 28877, 267, 6028, 873, 1100, 3903, 855, 547, 23491, 741, 18544, 780, 4913, 267, 676, 519, 2038, 476, 5197, 271, 338, 267, 8456, 827, 8474, 3323, 4657, 2429, 2342, 543, 922, 10125, 269, 4658, 3459, 15819, 2436, 621, 729, 1318, 547, 1378, 1776, 1480, 1373, 269, 27837, 676, 1007, 4978, 827, 7862, 543, 14619, 267, 2516, 4646, 547, 4339, 585, 20552, 9789, 1439, 540, 8474, 269, 2290, 1271, 4137, 538, 713, 3350, 729, 5261, 12070, 828, 4403, 267, 513, 3703, 22267, 945, 5249, 24091, 547, 18609, 1866, 547, 7979, 1177, 8474, 269, 3571, 3646, 6976, 1055, 267, 543, 538, 476, 8146, 275, 267, 6628, 5293, 513, 1876, 1572, 519, 26913, 589, 2513, 819, 2920, 269, 7053, 267, 1310, 5756, 540, 6560, 267, 6634, 540, 20665, 1004, 2066, 519, 3703, 7276, 267, 1519, 1346, 538, 25706, 267, 1131, 4166, 1995, 5191, 2439, 3719, 1934, 2501, 606, 4277, 2243, 910, 952, 789, 941, 1631, 1863, 267, 1946, 1705, 5449, 10437, 1869, 723, 547, 3136, 2324, 593, 24914, 286, 4270, 267, 972, 729, 513, 1966, 269, 3509, 10553, 5411, 14126, 602, 741, 4213, 9327, 1405, 7639, 1510, 519, 1863, 4074, 3177, 676, 20665, 1004, 269, 1924, 267, 3079, 540, 16089, 3025, 5612, 267, 513, 1062, 1572, 834, 1952, 1370, 1182, 1222, 257, 729, 2813, 269, 898, 5921, 602, 15685, 5443, 1185, 547, 1832, 2324, 585, 741, 3105, 18544, 585, 1305, 5712, 267, 2356, 2185, 547, 3670, 1296, 267, 1247, 1565, 1007, 1983, 543, 8600, 2933, 585, 7115, 269, 4438, 713, 942, 267, 789, 4607, 930, 13848, 543, 4824, 2713, 2175, 269, 1717, 267, 29095, 1222, 7012, 1405, 3501, 282, 1419, 267, 608, 2173, 7539, 4797, 8156, 741, 4600, 10792, 569, 267, 1175, 899, 2025, 2053, 780, 8601, 782, 2591, 267, 29752, 2043, 11542, 909, 585, 741, 2924, 269, 5019, 3949, 13264, 856, 1851, 29095, 14053, 1732, 2126, 543, 2628, 269, 2368, 1256, 2451, 519, 24914, 7357, 267, 5275, 3255, 11992, 269, 1635, 476, 8146, 279, 267, 1813, 547, 10770, 4187, 543, 2604, 689, 15628, 1394, 1753, 538, 4789, 267, 2407, 31414, 3357, 2038, 1107, 29095, 1222, 8694, 267, 543, 1169, 812, 267, 4807, 267, 543, 1126, 1223, 6368, 1289, 2933, 5963, 1863, 780, 1607, 11802, 6825, 519, 4098, 540, 513, 2898, 1007, 1158, 585, 519, 1004, 540, 25706, 269, 2060, 16012, 15698, 267, 3885, 22653, 1243, 267, 2950, 4278, 1882, 267, 543, 4529, 19806, 15701, 269, 12846, 267, 1454, 7283, 7334, 267, 607, 9241, 15685, 1004, 5185, 11999, 4247, 6619, 269, 8490, 2729, 4830, 540, 24914, 2838, 5876, 267, 6043, 267, 543, 8990, 269, 1656, 2943, 267, 998, 14488, 267, 789, 829, 572, 30099, 267, 2870, 7524, 5389, 602, 2661, 593, 2221, 780, 3086, 596, 917, 827, 519, 6909, 3460, 17298, 676, 938, 11937, 538, 25706, 269, 9282, 5185, 609, 10373, 7965, 267, 789, 10692, 12703, 569, 585, 15683, 267, 2463, 267, 543, 1582, 24148, 269, 3414, 1620, 741, 2984, 267, 649, 666, 5660, 519, 24279, 1500, 865, 602, 2104, 5481, 1522, 2972, 3152, 5126, 543, 4316, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3519, 1597, 518, 281, 661, 706, 16037, 30142, 3385, 4211, 541, 2692, 454, 11854, 5474, 281, 700, 4673, 10925, 5864, 267, 17459, 3041, 3194, 7905, 543, 17348, 540, 519, 4972, 540, 3778, 693, 519, 2160, 540, 29016, 454, 299, 4673, 10925, 5864, 568, 17459, 3041, 3194, 7905, 543, 17348, 540, 519, 4972, 540, 3778, 693, 519, 2160, 540, 29016, 269, 2701, 11339, 593, 5824, 1977, 543, 12144, 1686, 267, 6436, 543, 2409, 540, 30427, 1686, 267, 543, 519, 683, 343, 639, 540, 9194, 267, 737, 29023, 267, 543, 4008, 269, 23549, 1331, 634, 7577, 1358, 3223, 696, 281, 20353, 7847, 543, 519, 15348, 540, 13834, 538, 12144, 22728, 28573, 267, 476, 6942, 271, 268, 3422, 271, 263, 7419, 290, 4964, 267, 476, 1220, 273, 1070, 7101, 673, 631, 7174, 281, 12144, 20353, 7847, 543, 519, 15348, 540, 17813, 538, 519, 27227, 6520, 630, 7419, 290, 4964, 267, 476, 1001, 274, 1070, 543, 811, 982, 1079, 18797, 11271, 543, 4930, 269, 10765, 26549, 1331, 519, 1656, 337, 15530, 10548, 657, 4223, 974, 328, 9539, 5271, 4068, 8065, 9137, 15356, 540, 5948, 540, 12144, 16024, 2103, 543, 519, 476, 3953, 526, 16316, 661, 3149, 320, 717, 913, 807, 17341, 700, 624, 999, 1222, 693, 519, 2160, 540, 519, 4639, 28851, 267, 25706, 630, 1001, 277, 1040, 10925, 5864, 568, 5518, 540, 519, 10985, 593, 5824, 1977, 3778, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 2006, 322, 11692, 543, 2561, 1370, 1182, 1222, 257, 607, 851, 540, 834, 19615, 1315, 12144, 1299, 4639, 28851, 1315, 25706, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 1711, 513, 1713, 1966, 689, 513, 1857, 1072, 29459, 1107, 585, 4707, 8121, 309, 3797, 585, 607, 2370, 607, 1614, 2395, 666, 723, 5393, 4049, 29854, 1519, 2799, 10194, 4452, 267, 2799, 1981, 540, 6771, 543, 2949, 22485, 7145, 540, 3797, 630, 21766, 267, 476, 1001, 271, 1040, 25392, 519, 2557, 540, 7486, 3968, 543, 519, 22406, 1297, 540, 19623, 338, 547, 700, 565, 542, 4777, 267, 519, 1764, 540, 713, 7613, 568, 5963, 9645, 563, 29012, 267, 3906, 899, 590, 2975, 723, 2907, 8068, 606, 1764, 593, 741, 960, 269, 962, 639, 25045, 594, 3630, 29538, 267, 513, 2361, 4717, 13541, 585, 519, 3919, 267, 7074, 602, 9040, 340, 1185, 1044, 4547, 909, 538, 5176, 782, 540, 519, 2487, 2146, 2069, 14245, 543, 1419, 729, 513, 2707, 540, 8082, 1063, 7855, 543, 2146, 2818, 269, 5015, 267, 19421, 540, 519, 7486, 25698, 2550, 609, 7247, 590, 2975, 814, 1044, 2324, 538, 519, 2250, 1614, 3275, 723, 8854, 547, 3643, 9040, 340, 267, 543, 1896, 723, 6074, 547, 3247, 741, 8121, 309, 3797, 269, 634, 6560, 6849, 1857, 1072, 2069, 7341, 267, 1287, 267, 568, 547, 6707, 2232, 519, 1888, 540, 5132, 7067, 689, 513, 1747, 540, 1620, 610, 1981, 9561, 519, 3972, 543, 9316, 540, 519, 2950, 609, 799, 789, 960, 269, 1677, 3895, 519, 1655, 4690, 540, 519, 2551, 267, 1072, 3906, 1590, 4497, 538, 606, 1930, 11407, 593, 513, 2146, 1377, 543, 1106, 12352, 609, 2146, 3401, 267, 538, 713, 1931, 563, 20776, 3272, 532, 519, 8177, 593, 7486, 4065, 454, 1103, 713, 1353, 267, 476, 1839, 11042, 941, 5342, 538, 519, 8498, 2146, 540, 590, 836, 2967, 933, 267, 1369, 519, 631, 342, 3385, 20758, 540, 3509, 4673, 267, 7187, 25157, 269, 634, 1353, 729, 23032, 676, 590, 2975, 267, 799, 1185, 5892, 5342, 513, 1804, 8397, 5619, 540, 2947, 6917, 14252, 16030, 519, 631, 342, 3385, 20758, 540, 7187, 25157, 267, 2519, 593, 2489, 1702, 827, 7486, 25266, 6771, 267, 6604, 543, 2126, 269, 901, 3769, 5619, 532, 476, 4037, 9843, 540, 7622, 936, 519, 2085, 540, 476, 1240, 602, 941, 6074, 14477, 543, 7856, 32321, 1851, 519, 20758, 779, 2947, 14252, 269, 4438, 519, 1974, 602, 891, 11042, 941, 5342, 267, 590, 2975, 729, 8600, 547, 10891, 606, 2069, 543, 4152, 5859, 585, 519, 631, 342, 3385, 20758, 267, 1519, 519, 8498, 540, 590, 836, 2967, 933, 563, 763, 11042, 538, 713, 1353, 5059, 9003, 593, 519, 8498, 2146, 540, 590, 836, 2967, 933, 267, 14477, 8939, 476, 1839, 10820, 630, 16838, 569, 7856, 1851, 519, 8498, 779, 2185, 13664, 1016, 8686, 650, 1137, 264, 543, 3177, 606, 7778, 540, 519, 3483, 3297, 519, 5967, 1354, 1151, 545, 1746, 585, 7589, 269, 901, 3769, 4358, 689, 519, 10923, 4099, 15304, 540, 1142, 1016, 8686, 650, 720, 267, 1166, 6235, 513, 11777, 547, 3313, 799, 4287, 540, 519, 1292, 4155, 547, 3802, 1524, 267, 543, 1210, 513, 4351, 5991, 13246, 5750, 547, 3313, 799, 8075, 941, 6074, 585, 11042, 269, 901, 4797, 2394, 3670, 11042, 1185, 1044, 5342, 538, 519, 1016, 341, 650, 720, 267, 693, 799, 1448, 519, 22602, 1131, 1847, 547, 519, 1985, 1016, 341, 650, 720, 269, 769, 519, 2063, 543, 1034, 29245, 1016, 341, 650, 720, 267, 772, 18030, 267, 5722, 11042, 941, 5342, 269, 774, 8812, 18826, 11042, 941, 4371, 609, 9844, 532, 2367, 543, 2021, 936, 519, 2085, 540, 476, 1240, 693, 741, 10820, 269, 19877, 2055, 941, 7620, 2854, 538, 2296, 267, 855, 941, 12261, 543, 12995, 676, 6004, 269, 5981, 670, 9007, 267, 513, 23261, 534, 1014, 3450, 7649, 945, 1568, 607, 513, 6037, 1807, 543, 7486, 19829, 693, 590, 2975, 269, 19877, 338, 941, 5342, 30375, 538, 4210, 1695, 8270, 543, 1586, 12261, 676, 6004, 269, 5981, 670, 9007, 269, 634, 11042, 5059, 593, 1702, 540, 9040, 340, 543, 8369, 593, 5132, 7067, 543, 2069, 630, 11045, 11915, 7305, 476, 272, 1040, 3962, 540, 519, 2055, 729, 4280, 538, 513, 9811, 610, 1100, 3898, 267, 543, 585, 519, 10855, 2055, 630, 276, 267, 278, 1070, 17013, 941, 711, 19430, 610, 4280, 547, 3442, 689, 513, 1592, 540, 3681, 855, 3357, 909, 609, 6114, 10446, 269, 9282, 519, 1239, 6394, 543, 4843, 729, 1759, 593, 1463, 2055, 267, 519, 5967, 3159, 729, 13016, 543, 1419, 3769, 1246, 5346, 5717, 610, 23278, 4925, 269, 1452, 941, 711, 3769, 538, 519, 2164, 3296, 855, 941, 11368, 883, 519, 4901, 543, 4282, 563, 763, 5354, 540, 17013, 941, 4168, 267, 540, 1647, 2085, 267, 543, 1185, 5030, 538, 590, 836, 2967, 933, 585, 741, 3003, 2729, 630, 11045, 11915, 7305, 476, 273, 1040, 476, 2190, 540, 519, 476, 1839, 17013, 630, 9834, 8472, 6785, 540, 9040, 340, 540, 700, 565, 542, 4777, 267, 543, 476, 866, 630, 10602, 8472, 1767, 789, 6785, 2576, 945, 1185, 8854, 547, 3643, 519, 5132, 12115, 518, 269, 476, 10844, 260, 1101, 4862, 827, 700, 565, 542, 4777, 998, 930, 1106, 540, 2923, 267, 609, 1034, 630, 7761, 8472, 6217, 998, 5925, 14773, 906, 269, 476, 6434, 260, 849, 4607, 811, 1344, 827, 700, 565, 542, 4777, 689, 6158, 547, 1866, 538, 519, 8498, 630, 11045, 11915, 7305, 476, 274, 1916, 763, 2629, 1543, 540, 519, 11042, 267, 3823, 3661, 538, 9040, 340, 543, 7486, 267, 729, 8659, 538, 2055, 5722, 998, 4557, 269, 476, 736, 540, 519, 17013, 630, 3199, 8472, 1767, 789, 5156, 602, 9040, 340, 1185, 930, 7067, 1379, 267, 1498, 476, 2568, 260, 540, 1346, 941, 18516, 540, 519, 4110, 540, 7067, 646, 729, 5827, 540, 269, 1280, 1383, 267, 476, 1704, 630, 6924, 8472, 5156, 646, 1223, 10826, 610, 3648, 2087, 2901, 3987, 610, 10447, 267, 855, 1152, 3670, 630, 2190, 8472, 941, 607, 8746, 602, 646, 1223, 10826, 610, 3648, 2087, 7486, 269, 12866, 17013, 630, 736, 8472, 941, 8746, 602, 9040, 340, 1223, 711, 10826, 7486, 543, 519, 5354, 630, 1691, 267, 476, 6321, 8472, 941, 18516, 269, 1879, 4280, 1946, 789, 5156, 610, 1705, 711, 3494, 538, 9040, 340, 267, 476, 2537, 630, 10844, 8472, 540, 519, 17013, 5219, 547, 606, 1367, 789, 6785, 540, 4171, 2783, 2901, 4824, 610, 14016, 730, 1310, 9683, 519, 12115, 518, 607, 741, 3119, 2601, 269, 2986, 519, 14477, 5697, 476, 1839, 17013, 267, 5722, 630, 2764, 8472, 1185, 1044, 547, 3643, 9040, 340, 2933, 269, 2986, 891, 267, 2947, 5156, 602, 621, 1185, 5280, 741, 1072, 538, 930, 1259, 267, 855, 1152, 1079, 5156, 2933, 547, 581, 4625, 23174, 563, 8802, 8973, 8121, 309, 3797, 5288, 269, 5132, 7067, 267, 17013, 941, 3622, 14324, 593, 519, 3390, 269, 26062, 21144, 630, 9834, 8472, 10645, 602, 267, 952, 8995, 609, 7486, 267, 789, 1131, 1491, 8121, 309, 3797, 267, 1247, 519, 824, 835, 1268, 729, 18516, 269, 1717, 267, 476, 1240, 17013, 630, 7761, 8472, 5433, 602, 519, 12117, 540, 9040, 340, 779, 7067, 729, 1759, 593, 519, 2179, 540, 5132, 513, 1268, 1185, 267, 543, 476, 1704, 630, 6924, 8472, 1767, 602, 789, 1131, 979, 547, 3643, 9040, 340, 952, 789, 941, 8995, 609, 7486, 543, 1185, 519, 2200, 547, 6488, 621, 269, 27607, 630, 3607, 8472, 10645, 602, 789, 1131, 3136, 8121, 309, 3797, 1247, 789, 4682, 547, 3643, 9040, 340, 267, 1614, 630, 1321, 8472, 10645, 789, 1131, 19944, 826, 8121, 26394, 952, 789, 10272, 9040, 340, 267, 543, 519, 1964, 941, 18516, 952, 789, 1131, 798, 865, 563, 763, 3803, 5057, 540, 11042, 729, 2966, 547, 2697, 2009, 9072, 585, 6304, 676, 27013, 269, 1879, 4280, 827, 519, 1909, 540, 27013, 538, 18997, 827, 7486, 267, 476, 2190, 17013, 630, 9834, 8472, 5433, 602, 27013, 1058, 3136, 547, 13599, 6917, 2950, 827, 7486, 6771, 543, 6604, 267, 543, 476, 2537, 630, 10844, 8472, 5433, 602, 789, 1058, 13599, 827, 8121, 309, 3797, 607, 1134, 269, 476, 2537, 17013, 630, 10844, 8472, 5433, 602, 27013, 1058, 2232, 519, 3390, 540, 9040, 340, 1369, 741, 2069, 3292, 267, 543, 476, 1704, 630, 6924, 8472, 5433, 602, 9040, 340, 779, 7067, 1058, 581, 11368, 883, 4901, 540, 7486, 2126, 3681, 563, 1103, 6236, 891, 2164, 267, 972, 616, 1896, 1271, 3466, 540, 1719, 269, 22682, 267, 1702, 540, 9040, 340, 568, 3810, 7173, 320, 21378, 538, 713, 6917, 2146, 267, 1256, 609, 3908, 1569, 547, 2923, 543, 2792, 2029, 269, 901, 568, 540, 1880, 1719, 6236, 519, 3448, 973, 1890, 540, 519, 7613, 267, 10834, 519, 829, 11663, 4369, 540, 713, 28928, 5132, 12115, 518, 269, 634, 1297, 540, 1004, 945, 1101, 4862, 540, 9040, 340, 936, 519, 5925, 5267, 602, 5925, 568, 835, 540, 519, 1034, 3532, 1797, 540, 2527, 2792, 267, 543, 602, 519, 1259, 1344, 568, 4843, 936, 519, 5925, 666, 723, 513, 7096, 1764, 593, 519, 2442, 2070, 540, 513, 2686, 4137, 971, 607, 9040, 340, 269, 1717, 267, 1247, 519, 2923, 949, 1101, 6338, 2043, 547, 713, 7613, 267, 621, 568, 676, 1100, 1797, 519, 14045, 3815, 540, 1857, 6644, 269, 5272, 1268, 945, 1185, 4646, 606, 6644, 593, 519, 26117, 540, 9040, 340, 1185, 2944, 865, 676, 14379, 609, 824, 2818, 540, 741, 2146, 281, 4481, 267, 689, 6217, 6589, 540, 519, 2833, 540, 1866, 543, 4687, 741, 1378, 2833, 269, 9122, 593, 891, 6114, 267, 621, 4667, 602, 891, 616, 711, 1175, 9678, 2043, 543, 8369, 855, 616, 22566, 540, 513, 3677, 267, 2146, 7400, 1620, 538, 590, 836, 2967, 933, 269, 4475, 267, 2502, 609, 713, 3390, 693, 519, 2146, 1377, 1223, 581, 606, 2500, 1797, 540, 1312, 1620, 543, 5466, 519, 7613, 563, 5194, 7678, 1851, 519, 6114, 568, 519, 1377, 540, 10462, 827, 519, 1808, 2470, 540, 5132, 7067, 269, 2755, 519, 5318, 5354, 798, 3494, 602, 9040, 340, 666, 12115, 267, 972, 568, 5176, 1100, 3964, 13618, 3823, 519, 1808, 3676, 602, 616, 1521, 762, 267, 519, 2956, 540, 20170, 547, 2126, 4808, 610, 519, 7872, 540, 9256, 9040, 340, 779, 1505, 609, 2757, 24118, 3797, 269, 3962, 1268, 26906, 1185, 1010, 610, 1200, 24604, 538, 1114, 2127, 267, 543, 1034, 941, 2523, 3475, 1540, 593, 519, 1888, 540, 7486, 269, 9282, 1082, 1185, 4862, 32422, 540, 1004, 1373, 23174, 540, 7486, 267, 9039, 540, 519, 17013, 2047, 6785, 519, 2043, 3238, 269, 634, 1249, 602, 519, 5354, 540, 17013, 1131, 2951, 547, 700, 559, 542, 4777, 952, 2016, 606, 7486, 5868, 5267, 513, 3661, 538, 513, 4276, 1063, 9040, 340, 543, 1134, 5630, 267, 855, 519, 1164, 1377, 540, 10462, 827, 19944, 5224, 8121, 309, 3797, 538, 3870, 540, 9040, 340, 849, 5267, 602, 713, 5132, 568, 711, 6207, 269, 901, 10462, 9356, 606, 1271, 4316, 585, 2069, 3292, 547, 26544, 538, 5009, 2922, 6197, 5079, 585, 6917, 2950, 563, 4407, 2324, 538, 631, 342, 3385, 267, 590, 2975, 5342, 513, 7839, 7622, 5619, 540, 2489, 7486, 1702, 1851, 519, 2947, 14252, 538, 519, 631, 342, 3385, 8664, 269, 1358, 1336, 513, 3622, 1164, 1377, 540, 4656, 540, 7486, 1107, 476, 1911, 260, 6785, 1018, 621, 729, 543, 476, 6078, 260, 19486, 621, 607, 513, 2462, 610, 1360, 2462, 1966, 585, 741, 2146, 630, 306, 2975, 267, 476, 1001, 272, 1040, 1717, 267, 476, 1240, 269, 276, 260, 540, 1346, 23500, 10645, 789, 1705, 711, 917, 540, 1022, 1259, 547, 2061, 7486, 6771, 267, 543, 476, 8064, 269, 276, 260, 1185, 2760, 13984, 606, 7486, 2069, 2534, 630, 306, 2975, 267, 476, 1001, 272, 1040, 9717, 519, 3105, 4030, 593, 875, 519, 7613, 540, 9040, 340, 540, 700, 565, 542, 4777, 814, 4299, 513, 2146, 779, 1620, 540, 7486, 267, 519, 10700, 3804, 3587, 6220, 2686, 1620, 540, 7986, 5515, 899, 9040, 340, 883, 4264, 2146, 2069, 7341, 269, 898, 568, 1898, 547, 4125, 2950, 538, 5717, 540, 15520, 2861, 9259, 547, 3895, 606, 31672, 540, 1620, 543, 9316, 563, 763, 2164, 3254, 538, 713, 1957, 616, 1759, 593, 11042, 609, 513, 1507, 15410, 540, 2043, 689, 835, 2146, 538, 6917, 7187, 25157, 269, 634, 6114, 10356, 941, 11117, 593, 513, 12007, 4493, 267, 15877, 13113, 11050, 2079, 1317, 540, 519, 1507, 3732, 2450, 269, 4256, 2489, 4162, 616, 6093, 585, 1346, 2713, 538, 6917, 7532, 4000, 1107, 989, 337, 4115, 543, 1200, 3429, 19824, 267, 8567, 267, 17174, 3961, 543, 1893, 267, 3092, 269, 1809, 621, 568, 1271, 547, 4063, 602, 519, 1344, 689, 891, 11042, 1281, 711, 8209, 2099, 3020, 23261, 534, 2103, 267, 610, 1256, 1346, 538, 519, 631, 342, 3385, 20758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30108, 281, 11427, 13177, 454, 22826, 19608, 281, 13690, 454, 763, 3141, 23438, 11945, 568, 513, 2413, 11945, 2919, 693, 519, 14400, 1633, 3194, 10418, 538, 4516, 543, 621, 568, 835, 540, 519, 1655, 2038, 5498, 1783, 13212, 267, 19122, 538, 4864, 269, 634, 6129, 23438, 11945, 7472, 5230, 7031, 543, 568, 3501, 585, 2870, 6653, 11945, 10433, 563, 8923, 1294, 938, 5729, 6828, 8525, 15600, 689, 519, 5753, 9184, 593, 519, 1753, 2457, 585, 519, 5851, 4804, 585, 713, 3018, 269, 0, 347, 23430, 1475, 23430, 540, 17323, 267, 19903, 2120, 2160, 267, 15829, 272, 476, 275, 312, 289, 2008, 30106, 601, 13954, 266, 4510, 630, 271, 264, 13923, 275, 476, 6795, 274, 278, 2412, 2008, 26180, 1314, 13954, 266, 4510, 630, 271, 264, 13923, 275, 476, 279, 5325, 271, 4200, 2008, 3080, 2101, 1966, 585, 1007, 1053, 568, 602, 789, 1451, 855, 798, 711, 1174, 269, 3767, 1877, 568, 713, 811, 10423, 982, 538, 741, 946, 540, 7194, 910, 538, 519, 2631, 540, 10230, 1239, 269, 634, 12402, 568, 585, 1053, 1175, 547, 8357, 1047, 1239, 543, 4612, 873, 538, 513, 21603, 1259, 1510, 15819, 1018, 519, 1239, 1611, 269, 589, 1644, 1966, 568, 519, 6708, 547, 799, 606, 15151, 2241, 1523, 630, 7945, 607, 13864, 267, 10304, 267, 3106, 610, 2208, 264, 666, 581, 6027, 4628, 543, 796, 3711, 580, 28204, 676, 513, 2582, 4756, 610, 21205, 563, 1607, 5850, 6799, 1053, 609, 930, 1239, 543, 998, 6297, 2625, 532, 11394, 547, 948, 873, 547, 5660, 519, 6988, 540, 1239, 7664, 543, 519, 7411, 540, 13830, 3376, 2035, 538, 513, 2582, 4756, 563, 288, 3730, 1305, 540, 1239, 547, 2285, 519, 1053, 1131, 581, 519, 1739, 281, 834, 1103, 476, 1960, 276, 267, 476, 3607, 273, 272, 1004, 941, 7166, 267, 476, 3393, 267, 276, 2537, 12517, 13676, 543, 476, 28360, 267, 1822, 5594, 13676, 538, 4155, 6808, 10913, 538, 519, 5177, 269, 3657, 3703, 9897, 2922, 24350, 32622, 585, 4901, 1131, 1331, 519, 1739, 912, 763, 3932, 547, 519, 4901, 1223, 1445, 593, 281, 0, 2005, 568, 1271, 602, 649, 1058, 581, 2111, 547, 5265, 1491, 1416, 540, 938, 1072, 607, 649, 1152, 723, 835, 269, 2657, 2042, 666, 2014, 3978, 2360, 547, 938, 3232, 1272, 543, 972, 616, 1346, 602, 666, 1118, 721, 1745, 13943, 269, 1703, 616, 513, 2603, 540, 1004, 602, 616, 2348, 930, 14331, 5781, 543, 789, 949, 581, 513, 26043, 269, 1284, 1058, 917, 602, 14331, 616, 513, 1259, 585, 938, 1560, 547, 2995, 721, 602, 649, 616, 711, 2921, 1416, 540, 938, 1560, 2614, 543, 621, 568, 1271, 602, 649, 1058, 581, 2111, 547, 2285, 621, 513, 2603, 540, 3007, 269, 10361, 2851, 666, 676, 519, 3668, 540, 3207, 267, 2566, 693, 960, 267, 3168, 693, 513, 2780, 5496, 585, 513, 1279, 1974, 540, 942, 267, 3668, 540, 1216, 538, 938, 1560, 543, 513, 2603, 811, 269, 1703, 616, 513, 2603, 540, 721, 602, 1131, 946, 936, 519, 4831, 6646, 585, 938, 14331, 855, 789, 616, 849, 711, 602, 1434, 547, 1491, 5781, 1317, 540, 741, 2427, 13716, 338, 563, 300, 580, 28152, 616, 14331, 602, 1131, 581, 2111, 547, 2285, 721, 513, 1454, 811, 4049, 2179, 540, 1928, 543, 621, 666, 581, 3833, 2182, 547, 4308, 609, 873, 269, 1284, 1131, 15983, 723, 513, 2182, 942, 538, 7231, 609, 782, 540, 519, 1919, 602, 649, 991, 547, 798, 593, 513, 2834, 4493, 952, 649, 616, 2348, 513, 26043, 543, 602, 568, 1946, 649, 1058, 917, 1018, 616, 519, 5574, 602, 649, 616, 2111, 547, 1491, 865, 602, 649, 666, 1745, 1454, 1732, 538, 1175, 513, 2110, 1974, 540, 942, 269, 1284, 1058, 917, 602, 29018, 568, 513, 1360, 2500, 10826, 585, 14331, 543, 789, 949, 849, 581, 2111, 547, 948, 721, 856, 609, 938, 26043, 269, 1284, 1058, 1205, 547, 917, 811, 827, 519, 2360, 540, 31264, 607, 789, 949, 581, 2111, 547, 948, 721, 856, 538, 23232, 689, 938, 31264, 269, 16179, 29018, 1225, 322, 6058, 585, 31264, 610, 1224, 811, 3877, 693, 4179, 2517, 332, 785, 10192, 2593, 14121, 584, 1337, 268, 2017, 322, 6058, 16519, 2173, 580, 28152, 270, 563, 4910, 792, 2583, 723, 1336, 602, 1225, 322, 6058, 568, 513, 5057, 602, 666, 948, 721, 4308, 609, 31264, 607, 621, 666, 865, 6139, 519, 1928, 602, 649, 616, 2348, 269, 898, 568, 513, 5057, 602, 568, 1336, 538, 29018, 543, 649, 1058, 917, 602, 972, 616, 849, 513, 2603, 540, 824, 2640, 602, 621, 568, 2111, 547, 2285, 547, 938, 1560, 269, 4354, 322, 6058, 568, 2111, 547, 957, 607, 513, 1928, 17212, 591, 543, 602, 568, 1946, 621, 568, 1945, 602, 666, 5265, 4308, 609, 938, 26043, 269, 898, 568, 849, 1945, 602, 666, 948, 721, 2569, 938, 2566, 2157, 543, 649, 1058, 917, 602, 2566, 568, 849, 835, 540, 519, 3123, 540, 31264, 269, 1703, 616, 2472, 602, 649, 616, 2111, 547, 1205, 602, 616, 1500, 856, 540, 29018, 610, 1131, 723, 1164, 5666, 540, 1225, 322, 6058, 543, 621, 1131, 581, 1390, 952, 649, 666, 1205, 606, 1569, 547, 873, 865, 602, 649, 666, 723, 513, 10826, 585, 938, 31264, 269, 1411, 666, 1224, 811, 593, 713, 1934, 281, 4179, 2517, 4178, 19544, 4428, 14006, 2593, 270, 18782, 270, 6011, 3562, 268, 601, 574, 3729, 2173, 580, 9627, 10734, 318, 26493, 25313, 563, 2171, 1175, 2366, 596, 606, 4757, 269, 7490, 4945, 519, 3095, 538, 519, 4757, 547, 6166, 707, 20478, 2336, 10498, 8138, 27771, 687, 13324, 676, 853, 20891, 5944, 0, 300, 20488, 267, 2052, 2740, 267, 9473, 10234, 267, 21690, 2989, 454, 10666, 634, 932, 11301, 543, 12594, 12700, 454, 268, 1280, 6111, 267, 519, 17811, 5750, 543, 3170, 5750, 616, 1759, 593, 519, 7887, 7674, 2450, 2139, 563, 268, 1452, 6484, 5013, 3357, 2047, 689, 519, 22340, 610, 10672, 270, 6135, 4768, 656, 563, 268, 1403, 596, 2811, 1210, 513, 17811, 4831, 267, 3314, 602, 15310, 267, 2961, 2125, 267, 543, 19871, 8477, 616, 1175, 2673, 3934, 725, 1759, 593, 519, 2311, 4248, 2188, 912, 293, 520, 281, 476, 280, 1608, 17320, 2961, 321, 281, 476, 275, 1608, 17320, 19871, 281, 476, 275, 1608, 17320, 454, 268, 20587, 11545, 18880, 616, 1759, 593, 513, 476, 273, 267, 1822, 17811, 2732, 269, 7490, 3314, 713, 950, 1210, 713, 1344, 547, 1118, 2635, 1426, 5079, 585, 707, 2732, 563, 9773, 1559, 910, 2311, 713, 7674, 2450, 972, 616, 476, 7176, 273, 2836, 1559, 829, 7674, 269, 589, 6251, 1413, 2982, 281, 476, 13301, 2836, 1559, 689, 15310, 267, 476, 9032, 2836, 1559, 689, 19871, 267, 543, 476, 26116, 2836, 1559, 689, 2961, 8510, 3433, 269, 1403, 596, 2811, 5329, 3950, 267, 513, 1434, 17811, 4831, 666, 1118, 713, 2653, 4534, 1294, 519, 3301, 2630, 563, 293, 520, 910, 634, 11192, 15310, 10101, 585, 835, 7674, 568, 476, 2918, 269, 7830, 10101, 269, 2986, 713, 267, 476, 1626, 269, 8064, 10101, 616, 689, 590, 18260, 15310, 543, 19890, 3690, 15310, 568, 7164, 269, 634, 6967, 476, 280, 269, 10695, 10101, 616, 796, 27665, 539, 585, 563, 2419, 7995, 910, 634, 2179, 540, 932, 7995, 538, 835, 7674, 568, 476, 10441, 269, 6860, 8406, 563, 10111, 8510, 6233, 910, 2290, 7674, 540, 713, 1426, 814, 476, 14917, 269, 5379, 10101, 540, 2961, 8510, 3433, 269, 589, 6251, 1413, 8761, 476, 14917, 269, 5379, 10101, 540, 17491, 543, 4642, 10101, 540, 27438, 269, 4746, 267, 513, 7674, 540, 713, 2450, 814, 476, 14917, 269, 276, 4880, 2961, 2125, 269, 4880, 2961, 2125, 616, 7229, 676, 18946, 27438, 543, 17491, 15850, 338, 630, 604, 1634, 264, 689, 519, 2698, 2961, 8510, 3433, 2179, 269, 901, 568, 3730, 547, 917, 952, 596, 616, 10203, 19719, 610, 2713, 609, 3987, 563, 3682, 12888, 910, 2311, 713, 7674, 2450, 596, 3513, 1205, 476, 2190, 269, 273, 10101, 540, 19871, 829, 7674, 563, 14737, 5644, 910, 1703, 616, 476, 271, 269, 6812, 8406, 540, 11635, 543, 476, 279, 7597, 269, 6860, 8406, 540, 25289, 538, 1142, 7674, 540, 713, 1426, 269, 769, 1840, 267, 713, 1426, 814, 476, 13647, 276, 269, 2918, 8406, 540, 8000, 9914, 543, 476, 4343, 279, 269, 7830, 8406, 540, 31406, 538, 1142, 7674, 563, 309, 527, 7530, 910, 1411, 3513, 4324, 689, 1312, 23554, 7530, 595, 543, 589, 609, 713, 1426, 269, 1703, 616, 476, 278, 269, 9834, 8406, 540, 12192, 595, 543, 476, 279, 1704, 269, 6349, 4139, 19590, 540, 12192, 589, 538, 1142, 7674, 563, 5415, 2657, 543, 24524, 13088, 454, 16665, 16639, 543, 715, 26798, 6176, 912, 300, 20488, 267, 476, 272, 260, 22447, 325, 520, 267, 530, 270, 12192, 589, 267, 29079, 454, 300, 20488, 267, 476, 272, 260, 22447, 325, 520, 267, 530, 270, 3849, 4765, 6348, 325, 520, 22447, 3752, 1749, 1341, 23554, 589, 267, 29079, 454, 300, 20488, 267, 476, 273, 260, 22447, 325, 520, 267, 19871, 10783, 1881, 267, 530, 270, 12192, 589, 267, 29079, 454, 300, 20488, 267, 476, 273, 260, 22447, 325, 520, 267, 530, 270, 12192, 589, 267, 29079, 454, 300, 20488, 267, 476, 273, 260, 22447, 325, 520, 267, 530, 270, 3849, 4765, 6348, 325, 520, 22447, 3752, 1749, 1341, 23554, 589, 267, 29079, 454, 300, 20488, 267, 476, 273, 260, 22447, 325, 520, 267, 530, 270, 3849, 4765, 6348, 325, 520, 22447, 3752, 1749, 267, 530, 270, 334, 12192, 589, 267, 29079, 454, 300, 20488, 267, 2052, 2740, 267, 5345, 8388, 730, 267, 6348, 325, 520, 454, 300, 20488, 267, 2052, 2740, 267, 5345, 8388, 730, 267, 530, 270, 12192, 589, 454, 300, 20488, 267, 2052, 2740, 267, 5345, 8388, 730, 267, 530, 270, 334, 12192, 589, 454, 300, 20488, 267, 28688, 267, 25841, 15310, 267, 530, 270, 9773, 6458, 267, 674, 2993, 644, 454, 300, 20488, 267, 16959, 267, 6348, 325, 520, 267, 25289, 25841, 454, 300, 20488, 267, 16959, 267, 6348, 325, 520, 267, 2382, 656, 267, 530, 270, 12192, 589, 454, 8450, 2353, 13565, 16639, 0, 27736, 616, 22679, 529, 1438, 543, 2307, 1082, 2055, 269, 901, 568, 1271, 267, 1317, 621, 779, 835, 540, 519, 2081, 789, 1451, 269, 1809, 1058, 782, 540, 513, 1126, 779, 2055, 581, 12943, 1169, 942, 888, 6624, 3237, 2097, 547, 803, 585, 5796, 593, 713, 3390, 269, 8347, 532, 547, 581, 1434, 1909, 3631, 267, 789, 3801, 547, 581, 5168, 995, 609, 741, 1453, 693, 782, 2053, 269, 1717, 267, 930, 1344, 568, 711, 5921, 585, 2370, 8186, 543, 4061, 2115, 547, 581, 16607, 513, 1906, 1296, 269, 1924, 1018, 798, 596, 2995, 513, 1507, 1126, 950, 646, 24172, 12134, 606, 1271, 2243, 286, 3371, 568, 930, 5363, 5796, 912, 8266, 523, 585, 1018, 519, 1126, 568, 2731, 6031, 269, 1879, 513, 1126, 12134, 513, 2243, 267, 646, 24172, 568, 10416, 14379, 1945, 547, 596, 269, 19415, 585, 519, 7553, 3297, 519, 2243, 269, 21298, 267, 513, 3993, 540, 513, 476, 275, 1032, 2025, 30409, 803, 1317, 519, 1126, 779, 4651, 1185, 1044, 2322, 538, 21569, 269, 634, 4651, 1185, 1044, 15534, 1034, 540, 519, 1126, 779, 1272, 543, 972, 7012, 1406, 1454, 540, 513, 6125, 972, 269, 1717, 267, 519, 1126, 1131, 12212, 2307, 1141, 546, 23098, 729, 269, 634, 3993, 4769, 1406, 1616, 547, 9114, 267, 855, 1352, 6785, 519, 1126, 1131, 711, 1174, 519, 3003, 5168, 269, 1879, 594, 4280, 1200, 1018, 1352, 2219, 519, 1126, 729, 2731, 6031, 267, 1352, 1767, 1352, 2219, 1200, 1126, 14406, 546, 23098, 269, 2290, 3210, 547, 968, 8489, 568, 546, 23098, 9495, 585, 713, 1880, 1126, 1131, 581, 267, 968, 2791, 616, 2731, 7508, 707, 546, 23098, 1318, 1631, 3034, 310, 7159, 585, 519, 1126, 779, 3210, 269, 4495, 596, 2697, 519, 4743, 543, 1018, 519, 1126, 568, 2731, 6031, 543, 596, 723, 28078, 713, 547, 519, 1126, 267, 7227, 585, 519, 1126, 779, 3210, 269, 769, 930, 2665, 596, 786, 581, 4666, 4636, 269, 634, 1126, 3081, 267, 968, 5591, 267, 594, 1616, 547, 979, 547, 932, 611, 779, 5428, 713, 15964, 3079, 540, 2469, 609, 546, 23098, 1848, 769, 1034, 2665, 267, 519, 1126, 786, 1745, 17212, 1386, 602, 519, 2385, 17358, 1018, 789, 616, 4743, 543, 519, 2055, 786, 3247, 269, 2107, 519, 1126, 1522, 2161, 267, 968, 8133, 267, 1317, 646, 16219, 547, 1491, 803, 547, 519, 6288, 892, 910, 610, 1945, 602, 2417, 5587, 5809, 1018, 789, 616, 4743, 269, 5753, 1810, 1406, 1419, 1611, 1018, 596, 1589, 789, 616, 6998, 563, 16521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 944, 267, 18593, 454, 1038, 25824, 919, 2436, 1142, 3732, 1058, 723, 519, 1482, 3337, 630, 777, 691, 689, 519, 454, 1038, 3259, 1916, 825, 1427, 8217, 2433, 536, 944, 267, 18593, 454, 1038, 25824, 919, 2436, 519, 5439, 1058, 581, 8120, 607, 513, 1592, 1256, 952, 972, 454, 1038, 568, 1152, 835, 3732, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 5439, 2433, 1592, 610, 11885, 269, 526, 6783, 454, 1038, 1403, 2789, 5439, 616, 3177, 610, 2387, 4958, 8217, 319, 568, 6936, 267, 513, 1592, 454, 1038, 5627, 519, 840, 15263, 539, 543, 24019, 5439, 568, 8120, 563, 1038, 19227, 267, 519, 2582, 9168, 3732, 568, 8120, 563, 825, 8173, 825, 1948, 7089, 540, 5439, 454, 825, 562, 5334, 3263, 815, 7003, 4433, 3263, 2020, 825, 1948, 3550, 693, 2547, 835, 3732, 568, 3177, 454, 825, 952, 562, 5334, 3263, 2652, 476, 271, 912, 1038, 6318, 28759, 2891, 4263, 2547, 835, 3732, 568, 2877, 585, 15418, 1701, 2020, 825, 1948, 3213, 518, 576, 1142, 3732, 883, 513, 17877, 26998, 6783, 540, 10155, 693, 2547, 476, 272, 563, 825, 5439, 815, 1592, 9852, 777, 18828, 269, 520, 548, 770, 318, 272, 323, 267, 5439, 11723, 825, 1948, 6744, 585, 1297, 540, 7516, 952, 2556, 454, 825, 952, 562, 5091, 574, 568, 711, 7183, 912, 1038, 1948, 1403, 2387, 333, 5091, 574, 319, 568, 606, 703, 267, 6460, 621, 547, 513, 24042, 454, 1038, 952, 568, 27349, 3799, 5091, 574, 267, 2338, 269, 18204, 1537, 2187, 2018, 562, 5091, 574, 815, 24042, 3799, 5091, 574, 585, 9041, 538, 2039, 3799, 5334, 3263, 11723, 1038, 952, 568, 27349, 3799, 5091, 574, 267, 24042, 2187, 2018, 1948, 4406, 28371, 2387, 333, 5091, 574, 319, 607, 513, 24042, 5627, 1152, 476, 272, 781, 267, 476, 273, 781, 267, 543, 7183, 781, 454, 2018, 952, 1022, 263, 2254, 568, 27349, 5560, 267, 2338, 269, 18204, 1537, 264, 585, 546, 538, 562, 5091, 574, 454, 4449, 567, 952, 546, 568, 711, 7183, 2187, 3546, 6318, 7392, 13286, 2891, 13640, 600, 2678, 1412, 333, 5091, 574, 262, 1590, 581, 476, 272, 267, 476, 273, 267, 610, 7183, 23528, 2018, 562, 5091, 574, 815, 24042, 17301, 5560, 264, 952, 568, 27349, 5560, 267, 2338, 269, 18204, 1537, 264, 3116, 7183, 454, 4449, 16875, 585, 546, 538, 562, 5091, 574, 994, 2018, 952, 1022, 5560, 711, 538, 630, 272, 267, 476, 273, 264, 585, 546, 538, 562, 5091, 574, 952, 546, 568, 711, 7183, 2187, 3546, 6318, 7392, 13286, 2891, 13640, 600, 2678, 1412, 333, 5091, 574, 262, 1590, 581, 476, 272, 267, 476, 273, 267, 610, 7183, 23528, 2018, 952, 7003, 3799, 5091, 574, 264, 11203, 562, 5334, 3263, 912, 3546, 6318, 28759, 18692, 7386, 834, 13640, 600, 2678, 2387, 333, 5091, 574, 319, 1590, 723, 835, 7127, 585, 1142, 3732, 1701, 2020, 2018, 1948, 6744, 519, 10155, 540, 1142, 5044, 454, 2018, 585, 1775, 267, 630, 338, 2217, 267, 546, 264, 538, 26246, 18750, 760, 4433, 3263, 267, 562, 5091, 574, 15892, 3546, 952, 546, 568, 7183, 912, 7386, 3136, 454, 3546, 952, 3732, 269, 526, 574, 2652, 476, 272, 543, 546, 2652, 476, 273, 912, 7386, 5439, 5157, 316, 815, 3732, 269, 31412, 8987, 272, 267, 476, 272, 994, 3546, 8640, 3732, 269, 526, 574, 3436, 546, 912, 7386, 6318, 28759, 6600, 257, 25456, 2715, 328, 348, 814, 1932, 1082, 7516, 23528, 1038, 3116, 912, 2018, 6318, 7392, 13286, 2891, 13640, 600, 2678, 1412, 333, 5091, 574, 262, 1590, 581, 606, 703, 610, 513, 24042, 1701, 2020, 825, 1948, 6744, 585, 3160, 5044, 13080, 952, 2556, 454, 825, 952, 3160, 9078, 9975, 543, 562, 5334, 3263, 3436, 476, 272, 912, 1038, 952, 1022, 12759, 3287, 264, 11203, 7003, 4433, 3263, 314, 271, 8079, 585, 1535, 538, 5439, 314, 272, 281, 316, 2187, 2018, 6318, 28759, 2891, 10376, 3732, 1590, 723, 519, 1482, 3259, 1701, 2020, 825, 1948, 6744, 585, 3160, 5044, 5546, 630, 21955, 585, 3259, 264, 952, 2556, 454, 825, 952, 3160, 318, 3333, 16747, 543, 562, 5334, 3263, 3436, 476, 272, 912, 1038, 952, 1022, 3287, 17482, 314, 272, 281, 316, 11203, 5439, 314, 271, 4940, 27729, 314, 272, 281, 316, 585, 1535, 538, 5439, 314, 272, 281, 316, 2187, 2018, 6318, 28759, 2891, 25456, 5546, 8428, 1701, 2020, 825, 952, 1427, 8217, 610, 562, 5334, 3263, 3436, 476, 272, 912, 1038, 2132, 5439, 454, 825, 3116, 912, 1038, 2132, 5439, 314, 271, 6540, 454, 3698, 19472, 6958, 15635, 6600, 15635, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 825, 5727, 28444, 675, 602, 2387, 325, 15635, 319, 568, 2901, 1289, 762, 610, 519, 2012, 540, 513, 17877, 5044, 454, 825, 1505, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 30775, 2433, 1289, 762, 610, 1193, 454, 1038, 589, 1599, 610, 2012, 540, 513, 17877, 5044, 1505, 563, 825, 26571, 2433, 5311, 267, 18593, 454, 1038, 19024, 531, 7440, 547, 1780, 547, 2387, 325, 15635, 319, 563, 825, 737, 342, 16911, 2433, 9598, 267, 18593, 454, 1038, 6206, 5320, 7440, 547, 1780, 547, 2387, 325, 15635, 27471, 825, 16849, 454, 825, 476, 9339, 8894, 825, 30775, 2433, 1289, 762, 454, 1038, 9577, 609, 519, 9138, 2990, 531, 543, 20438, 7440, 2907, 454, 1038, 13859, 563, 825, 8173, 825, 952, 1289, 762, 6600, 15635, 2187, 1038, 30775, 815, 1187, 551, 8962, 269, 14783, 6600, 15635, 267, 2608, 16911, 267, 2878, 29220, 16911, 994, 825, 8640, 568, 27349, 6600, 15635, 267, 1193, 2187, 1038, 952, 814, 3430, 337, 18828, 269, 526, 6783, 267, 30775, 264, 543, 1289, 762, 263, 1326, 3430, 337, 18828, 269, 526, 6783, 267, 30775, 15892, 2018, 2012, 815, 30775, 692, 2018, 1219, 30775, 28949, 1842, 267, 2878, 330, 9749, 2187, 3546, 2132, 1205, 3430, 337, 18828, 269, 553, 6783, 263, 1842, 314, 271, 25818, 2012, 7565, 1262, 330, 9749, 2020, 2018, 30775, 815, 1187, 551, 8962, 269, 14783, 6600, 15635, 267, 2608, 16911, 267, 2878, 29220, 16911, 994, 1038, 3116, 912, 2018, 6318, 5900, 25572, 13286, 6600, 257, 19617, 13695, 14249, 723, 1100, 1505, 1412, 346, 325, 15635, 348, 262, 5602, 825, 3116, 912, 1038, 6318, 28759, 6600, 24281, 20777, 9936, 1412, 325, 15635, 9166, 2715, 325, 15635, 348, 15419, 825, 2132, 30775, 454, 0, 18851, 24058, 3074, 540, 8760, 2164, 27969, 692, 5814, 621, 1068, 8962, 692, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 5228, 10371, 2181, 30112, 1104, 7193, 288, 7531, 3698, 533, 8619, 9078, 8475, 318, 7120, 3287, 267, 586, 4671, 4902, 267, 586, 28177, 267, 4949, 22561, 267, 533, 8619, 22561, 267, 15262, 18380, 22561, 2187, 825, 5727, 24965, 576, 1239, 547, 476, 273, 7516, 543, 4729, 10567, 10297, 11954, 2687, 454, 825, 547, 2436, 789, 941, 7157, 9286, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 1535, 281, 5044, 6438, 454, 1038, 3171, 1155, 1239, 5119, 563, 825, 586, 4671, 4902, 281, 5044, 6438, 454, 1038, 21070, 540, 3020, 3077, 10297, 563, 825, 586, 28177, 281, 5044, 6438, 454, 1038, 21070, 540, 10567, 3077, 10297, 563, 825, 4949, 281, 21267, 7852, 267, 18593, 454, 1038, 634, 7852, 593, 799, 547, 4729, 519, 1239, 563, 825, 533, 8619, 281, 7193, 288, 267, 18593, 454, 1038, 634, 7193, 288, 1843, 1031, 547, 2569, 519, 1239, 269, 1403, 711, 9138, 267, 513, 1007, 7193, 288, 454, 1038, 1843, 786, 581, 19034, 593, 519, 3177, 1239, 563, 825, 15262, 18380, 281, 9598, 267, 18593, 454, 1038, 9218, 540, 875, 547, 2981, 10297, 883, 12508, 585, 519, 14649, 4729, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 4949, 281, 21267, 7852, 454, 1038, 634, 1699, 21267, 7852, 563, 825, 533, 8619, 281, 7193, 288, 454, 1038, 634, 7193, 288, 1843, 1031, 547, 2569, 519, 1239, 563, 825, 8173, 825, 952, 533, 8619, 568, 7183, 912, 1038, 533, 8619, 815, 7193, 288, 4590, 1038, 533, 8619, 32265, 3287, 994, 825, 8640, 711, 568, 27349, 9638, 8619, 267, 7193, 288, 264, 610, 711, 533, 8619, 32265, 1540, 912, 1038, 6318, 7392, 13286, 2891, 13640, 600, 2678, 1412, 335, 8619, 262, 1590, 581, 513, 19034, 7193, 288, 1843, 1701, 2020, 825, 952, 4949, 568, 7183, 912, 1038, 4949, 815, 12301, 3052, 8619, 10797, 825, 1535, 815, 533, 8619, 6745, 4920, 845, 3287, 267, 3897, 284, 273, 2020, 825, 952, 15262, 18380, 568, 7183, 912, 1038, 15262, 18380, 815, 9598, 10797, 825, 10297, 815, 5286, 26509, 1664, 18828, 26769, 13906, 523, 622, 9230, 344, 4671, 4902, 267, 586, 28177, 21875, 825, 585, 6003, 4671, 4902, 267, 6003, 28177, 538, 621, 1068, 8962, 4877, 6055, 10857, 629, 1564, 267, 10297, 2187, 1038, 952, 6003, 28177, 538, 15262, 18380, 912, 2018, 15262, 815, 15262, 18380, 314, 16932, 28177, 2639, 1038, 3116, 912, 2018, 15262, 815, 834, 259, 257, 1341, 1193, 10857, 8475, 28177, 264, 1341, 834, 259, 4840, 1038, 2681, 815, 834, 13582, 257, 952, 6003, 28177, 2652, 6003, 4671, 4902, 3116, 834, 1042, 4840, 1038, 1990, 4650, 815, 476, 272, 952, 6003, 28177, 2652, 6003, 4671, 4902, 3116, 476, 273, 454, 1038, 7329, 343, 815, 630, 344, 4671, 4902, 2652, 6003, 4671, 4902, 264, 1299, 630, 344, 28177, 2652, 6003, 28177, 994, 1038, 4949, 31892, 2660, 3287, 314, 30915, 267, 476, 271, 3910, 1535, 314, 30915, 267, 476, 272, 3910, 524, 284, 10233, 267, 15262, 284, 5658, 518, 267, 1990, 4650, 284, 345, 4650, 2020, 825, 4949, 15630, 13448, 16932, 2891, 272, 560, 25867, 31196, 5602, 825, 4949, 15630, 318, 29786, 2891, 273, 526, 25867, 31196, 15419, 825, 2132, 4949, 267, 533, 8619, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 1205, 519, 2451, 2173, 739, 631, 9704, 689, 513, 1297, 1131, 581, 1945, 899, 21850, 263, 4041, 10499, 263, 22552, 8443, 15893, 25818, 300, 26895, 1717, 713, 4991, 811, 7294, 609, 519, 808, 14701, 14727, 312, 312, 24884, 291, 3898, 1317, 4470, 593, 519, 4266, 1287, 649, 1522, 1616, 519, 476, 273, 2451, 1034, 9704, 630, 1721, 1296, 538, 519, 476, 5002, 271, 338, 264, 610, 519, 476, 274, 2451, 1034, 9704, 630, 1721, 1296, 538, 519, 476, 1220, 271, 338, 264, 799, 1131, 1291, 547, 1256, 811, 5569, 12879, 547, 1205, 519, 5551, 1267, 267, 585, 1383, 1934, 779, 513, 4542, 594, 1336, 2228, 585, 3478, 519, 1032, 281, 2387, 9281, 700, 2894, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 8079, 815, 476, 277, 6730, 700, 9128, 307, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 3910, 476, 272, 264, 815, 1412, 272, 262, 8946, 2894, 1412, 736, 262, 1341, 631, 2839, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 3910, 476, 273, 267, 476, 273, 264, 20700, 10345, 9281, 700, 2894, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 8079, 815, 476, 276, 8946, 2894, 1412, 866, 262, 1341, 631, 2839, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 3910, 476, 272, 267, 476, 273, 264, 13673, 291, 18269, 2353, 1346, 700, 2894, 19572, 700, 9128, 307, 19572, 543, 631, 2839, 3890, 7125, 786, 581, 1793, 5622, 334, 578, 342, 780, 1320, 9722, 827, 713, 689, 513, 2979, 29459, 1018, 649, 1616, 547, 798, 568, 609, 519, 808, 14701, 14727, 312, 312, 24884, 291, 3898, 568, 547, 4894, 519, 667, 24884, 630, 1492, 1318, 2173, 739, 715, 9704, 264, 543, 1349, 1018, 779, 2451, 269, 634, 1259, 649, 666, 798, 602, 568, 538, 1079, 3268, 281, 476, 272, 264, 2490, 519, 667, 24884, 6712, 883, 513, 8918, 865, 595, 312, 312, 24884, 291, 3587, 595, 312, 312, 6185, 24884, 267, 1287, 476, 273, 264, 959, 15635, 622, 519, 667, 24884, 8918, 6712, 865, 649, 2461, 1175, 2451, 609, 519, 595, 312, 312, 780, 2171, 666, 798, 602, 609, 519, 4542, 21850, 8443, 15893, 316, 1315, 476, 1015, 317, 301, 1040, 634, 1496, 15893, 316, 1315, 476, 1015, 317, 301, 17337, 519, 1297, 676, 519, 1297, 540, 9704, 649, 1616, 547, 4894, 267, 865, 476, 4335, 272, 3587, 476, 276, 269, 9826, 267, 476, 14056, 18458, 3587, 476, 14056, 269, 18458, 267, 543, 865, 593, 269, 3973, 519, 21850, 3890, 1472, 602, 959, 15635, 919, 519, 8918, 4025, 543, 3762, 721, 609, 519, 6967, 2898, 1297, 780, 1103, 938, 2013, 319, 21850, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 316, 1315, 476, 1911, 271, 23375, 18788, 519, 1318, 2173, 739, 1614, 9704, 865, 1018, 649, 2461, 2451, 609, 568, 519, 2540, 543, 1297, 540, 1296, 780, 296, 5781, 946, 713, 4480, 547, 1628, 1250, 1378, 25510, 267, 585, 1383, 21850, 8443, 306, 2297, 316, 1315, 476, 1911, 264, 2608, 476, 1911, 5932, 25510, 540, 476, 271, 267, 476, 1911, 267, 476, 1220, 267, 543, 865, 593, 780, 2162, 4635, 667, 12442, 4696, 291, 3890, 547, 1039, 513, 1297, 540, 11996, 547, 513, 4358, 4266, 692, 8368, 879, 779, 667, 12442, 4696, 291, 3890, 1599, 3217, 1614, 7440, 1384, 1892, 4266, 318, 4820, 281, 513, 1871, 899, 2048, 1485, 8730, 2048, 24629, 8730, 2048, 327, 712, 8730, 3092, 563, 1892, 8884, 281, 513, 2898, 1297, 540, 11996, 454, 1892, 4266, 281, 513, 4358, 4266, 692, 763, 5413, 540, 1210, 667, 12442, 4696, 291, 3890, 936, 1945, 899, 667, 12442, 8443, 331, 1824, 540, 5569, 12879, 547, 1628, 513, 5569, 540, 962, 312, 312, 312, 5336, 300, 5937, 291, 610, 27493, 22230, 291, 270, 312, 312, 312, 312, 610, 30250, 270, 12613, 270, 312, 312, 312, 312, 3898, 8079, 568, 1586, 602, 649, 2461, 9319, 782, 602, 5569, 12879, 543, 1175, 3257, 4266, 2979, 267, 799, 568, 2731, 2979, 780, 4415, 519, 1101, 1079, 2553, 649, 4076, 10736, 519, 808, 14701, 14727, 312, 312, 24884, 291, 3898, 547, 883, 519, 11996, 585, 519, 1554, 4266, 318, 4820, 543, 519, 11996, 585, 519, 1032, 4266, 318, 4820, 267, 865, 1631, 649, 666, 946, 667, 12442, 4696, 291, 3890, 2899, 585, 1142, 4266, 318, 4820, 538, 513, 29005, 6752, 269, 2353, 649, 991, 568, 513, 4358, 4266, 267, 543, 538, 713, 2013, 649, 666, 1491, 5413, 540, 519, 595, 312, 312, 2497, 547, 4137, 856, 519, 3617, 4358, 4266, 269, 901, 568, 519, 1297, 540, 1296, 2094, 476, 5002, 271, 267, 865, 547, 5352, 519, 1032, 649, 666, 946, 1384, 319, 291, 12442, 4696, 291, 3488, 20204, 3299, 19860, 8443, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 316, 270, 1911, 271, 1070, 258, 5002, 271, 268, 4905, 268, 4905, 258, 23375, 692, 10190, 547, 1039, 519, 667, 24884, 1554, 540, 1032, 649, 666, 946, 667, 12442, 4696, 291, 3890, 609, 513, 4358, 4266, 540, 519, 1032, 4266, 649, 1175, 1500, 269, 1284, 798, 991, 547, 10208, 476, 272, 689, 519, 667, 24884, 1554, 540, 1032, 1317, 519, 1101, 1554, 540, 519, 1032, 568, 476, 272, 267, 711, 476, 271, 780, 3499, 291, 12442, 4696, 291, 3488, 1485, 3299, 314, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 316, 4939, 476, 1911, 271, 910, 476, 272, 10484, 1012, 30486, 808, 14701, 14727, 312, 312, 24884, 291, 23586, 692, 8368, 879, 779, 667, 12442, 4696, 291, 3890, 2141, 7024, 513, 30220, 1239, 1826, 267, 865, 1210, 519, 1657, 4542, 543, 28277, 519, 9819, 538, 513, 3803, 667, 12442, 3890, 3947, 721, 519, 5551, 4266, 1239, 1826, 1384, 3499, 291, 12442, 20573, 12442, 4696, 291, 3488, 1485, 3299, 314, 19878, 1014, 808, 14701, 14727, 312, 312, 24884, 291, 316, 4939, 476, 1911, 271, 910, 476, 272, 10484, 2080, 779, 513, 7305, 879, 2070, 6029, 519, 667, 24884, 543, 595, 312, 312, 9273, 2059, 609, 519, 3803, 20593, 1540, 808, 14701, 14727, 312, 312, 312, 24884, 291, 9819, 1384, 1012, 30486, 962, 312, 312, 312, 24884, 291, 23586, 692, 763, 962, 312, 312, 312, 24884, 291, 7503, 3096, 513, 3833, 2147, 4542, 267, 609, 835, 1689, 1384, 3499, 291, 12442, 20573, 12442, 4696, 291, 3488, 1485, 3299, 314, 19878, 1014, 962, 312, 312, 312, 24884, 291, 316, 4939, 476, 1911, 271, 910, 476, 272, 10484, 763, 3017, 568, 602, 519, 962, 312, 312, 312, 6712, 540, 519, 9819, 568, 13059, 519, 2407, 2185, 7857, 1032, 865, 649, 10208, 476, 5002, 271, 689, 602, 547, 1205, 513, 1297, 540, 1296, 547, 1039, 547, 519, 476, 5002, 271, 268, 4905, 268, 4905, 1376, 4266, 780, 2080, 779, 513, 7305, 879, 2070, 6029, 519, 667, 24884, 543, 962, 312, 312, 312, 9273, 2059, 609, 519, 3803, 20593, 1540, 962, 312, 312, 312, 24884, 291, 9819, 1384, 1012, 10390, 692, 13043, 568, 1187, 269, 4569, 568, 3728, 269, 4569, 568, 707, 3659, 269, 2422, 2979, 547, 1205, 7389, 269, 630, 14630, 1239, 2010, 267, 602, 568, 6393, 2080, 779, 513, 3095, 547, 519, 14291, 15567, 1014, 7389, 547, 7389, 23519, 593, 7305, 879, 5398, 780, 288, 2370, 11690, 281, 1403, 596, 899, 713, 2022, 630, 663, 666, 20496, 519, 17573, 3983, 5309, 264, 543, 1616, 948, 538, 4466, 7389, 630, 514, 707, 1239, 264, 5225, 2638, 856, 1250, 2754, 267, 4578, 289, 5585, 269, 1284, 2709, 7305, 879, 543, 1325, 6670, 343, 1489, 267, 17874, 267, 543, 2866, 543, 666, 948, 596, 1205, 519, 1034, 856, 540, 707, 1239, 2439, 258, 15775, 7759, 540, 968, 17413, 540, 892, 585, 667, 919, 692, 763, 7305, 879, 5816, 1065, 739, 539, 1250, 16258, 10361, 619, 585, 17266, 12763, 23959, 2022, 30548, 594, 3893, 519, 1739, 2243, 689, 31656, 11253, 7788, 538, 3210, 1384, 2080, 779, 519, 1966, 267, 950, 1210, 962, 292, 2752, 263, 14630, 264, 593, 681, 3298, 7305, 879, 568, 8850, 29780, 519, 968, 17413, 540, 892, 585, 519, 20927, 1384, 2171, 1223, 1711, 513, 7229, 2361, 585, 962, 292, 2752, 8443, 14630, 8079, 543, 1287, 946, 606, 1401, 716, 11261, 585, 519, 10788, 267, 855, 972, 779, 606, 1256, 5488, 1259, 269, 8794, 7305, 879, 779, 11426, 667, 919, 4183, 649, 666, 798, 602, 538, 513, 1906, 30390, 7132, 17511, 519, 2012, 540, 938, 1007, 4266, 2361, 1384, 10267, 619, 2439, 258, 27759, 4578, 692, 2162, 667, 12442, 3890, 543, 31031, 3890, 3252, 13789, 8335, 4470, 593, 519, 1239, 2707, 630, 2750, 4897, 270, 3667, 12458, 1720, 5288, 269, 1349, 2020, 10674, 2517, 10919, 640, 6745, 762, 9476, 21510, 2264, 2593, 8276, 20687, 270, 9692, 277, 2190, 692, 291, 2969, 7968, 2752, 10345, 3890, 585, 14291, 1114, 4266, 12043, 692, 291, 2969, 7968, 2752, 10345, 268, 532, 9669, 585, 21988, 17726, 25441, 609, 7305, 879, 476, 279, 269, 272, 692, 1012, 11835, 1456, 25966, 269, 2349, 2056, 692, 2691, 835, 1239, 2707, 814, 23658, 14394, 1299, 3800, 267, 543, 1776, 814, 7121, 1299, 23658, 14394, 267, 666, 946, 12729, 20492, 547, 3927, 1711, 519, 7121, 1369, 519, 1101, 1239, 2707, 269, 22995, 814, 2376, 593, 713, 267, 3406, 585, 968, 322, 11661, 3119, 2516, 689, 513, 6281, 2707, 892, 780, 2162, 4578, 16471, 543, 3478, 10015, 725, 1318, 1384, 13480, 1504, 609, 1614, 3681, 630, 2169, 847, 267, 1852, 1239, 3347, 585, 11100, 267, 2688, 14069, 264, 676, 11518, 24759, 912, 10674, 2517, 10919, 640, 6745, 762, 9476, 21510, 2264, 2593, 8276, 20687, 270, 8146, 31229, 258, 8146, 31229, 692, 17730, 513, 7305, 879, 4578, 11905, 1547, 339, 1091, 585, 8220, 547, 1175, 519, 6538, 543, 711, 519, 3349, 676, 30621, 10552, 10290, 912, 10674, 2517, 4178, 31677, 15574, 18350, 16691, 16896, 270, 1001, 273, 270, 1556, 270, 2918, 270, 6618, 3562, 8584, 1673, 520, 15390, 2914, 603, 719, 6741, 322, 4328, 8584, 2389, 762, 8686, 8721, 270, 692, 11073, 518, 11836, 2789, 9185, 7515, 454, 10059, 2517, 4178, 269, 5793, 4103, 2593, 270, 4565, 9233, 14121, 332, 764, 1638, 965, 270, 1001, 274, 270, 6187, 270, 2918, 270, 537, 614, 268, 14765, 1456, 2173, 738, 2118, 7721, 4897, 2389, 1963, 2389, 762, 879, 268, 279, 692, 20578, 7635, 1830, 8848, 6119, 912, 10674, 2517, 10919, 640, 6745, 762, 9476, 21510, 2264, 2593, 8276, 20687, 270, 25375, 278, 5038, 692, 314, 31467, 7121, 284, 892, 342, 1731, 545, 2632, 550, 892, 11090, 284, 892, 2181, 1706, 532, 267, 3306, 12686, 892, 2639, 314, 7615, 2140, 316, 1107, 1520, 4765, 1496, 7615, 4266, 2639, 314, 20880, 2639, 22535, 31467, 6540, 2162, 13565, 9708, 1384, 314, 31467, 11090, 284, 892, 2181, 1706, 532, 267, 3306, 12686, 267, 534, 7716, 1944, 267, 4565, 4193, 267, 31412, 267, 3306, 1653, 892, 23868, 284, 892, 10472, 892, 6935, 284, 892, 663, 892, 5635, 284, 892, 2254, 892, 30953, 284, 892, 322, 14394, 892, 1871, 284, 892, 342, 1731, 545, 2632, 550, 892, 316, 0, 258, 32686, 1076, 23037, 7151, 476, 280, 267, 476, 277, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 476, 277, 267, 476, 280, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 32686, 7632, 677, 19776, 519, 2338, 538, 8424, 689, 2451, 547, 1318, 27300, 780, 1012, 19809, 593, 6249, 281, 834, 289, 889, 1076, 23037, 7151, 476, 280, 267, 476, 277, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 476, 277, 267, 476, 280, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 32686, 7632, 677, 19776, 519, 2338, 538, 8424, 689, 2451, 547, 1318, 27300, 1701, 1765, 19809, 13973, 1384, 289, 889, 1076, 23037, 7151, 476, 280, 267, 476, 277, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 476, 277, 267, 476, 280, 267, 476, 273, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 32686, 7632, 677, 19776, 519, 2338, 538, 8424, 689, 2451, 547, 1318, 27300, 950, 2556, 269, 3371, 519, 1101, 1297, 568, 3379, 547, 519, 2034, 543, 607, 621, 568, 3677, 789, 616, 22121, 269, 476, 277, 267, 476, 273, 267, 476, 280, 267, 476, 1321, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 3767, 519, 1985, 6292, 540, 2338, 616, 3379, 269, 11088, 519, 476, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 1677, 16440, 26640, 3245, 8376, 18737, 9603, 547, 519, 1164, 11841, 267, 1761, 2042, 543, 3668, 540, 8244, 538, 3384, 2477, 267, 1152, 476, 276, 268, 1015, 260, 540, 2550, 609, 8459, 5821, 723, 9354, 2126, 585, 31533, 543, 8459, 24328, 269, 15302, 899, 18127, 26640, 23299, 267, 799, 666, 711, 581, 23174, 267, 741, 2063, 22533, 2126, 899, 31533, 543, 8459, 1098, 17852, 616, 1360, 7199, 269, 901, 4183, 568, 711, 2139, 10876, 269, 4475, 519, 1246, 5346, 540, 519, 6031, 2048, 7093, 3685, 568, 1732, 982, 10826, 685, 568, 1360, 1271, 269, 5272, 1268, 1058, 917, 827, 519, 21084, 540, 8459, 3441, 563, 1692, 1677, 16440, 26640, 3245, 8376, 454, 22142, 30391, 707, 14401, 269, 898, 814, 519, 1739, 1079, 2694, 912, 272, 269, 3502, 5874, 585, 519, 2489, 1857, 454, 273, 269, 2776, 8619, 1903, 547, 1416, 585, 26640, 15302, 454, 8253, 5874, 585, 519, 2489, 1857, 454, 5353, 1597, 2500, 2409, 1677, 16440, 26640, 3245, 8376, 454, 272, 269, 28546, 543, 3742, 454, 19894, 20659, 3635, 543, 3232, 1560, 2238, 948, 1832, 1973, 2604, 3339, 543, 1852, 1973, 4006, 269, 769, 713, 1259, 267, 2168, 2534, 6971, 519, 1981, 540, 3987, 543, 1164, 1973, 2604, 267, 543, 538, 713, 1259, 524, 269, 634, 1981, 540, 667, 269, 666, 581, 4389, 563, 273, 269, 7195, 2331, 2732, 454, 292, 520, 4195, 4829, 543, 10448, 1426, 269, 10791, 1058, 581, 4389, 547, 10427, 4189, 6208, 267, 4006, 267, 3170, 267, 543, 5779, 269, 8409, 1004, 4171, 2085, 568, 936, 476, 2412, 267, 1491, 1447, 6070, 538, 519, 1426, 267, 799, 2337, 538, 7303, 13119, 543, 8459, 10007, 563, 274, 269, 5901, 2597, 1852, 454, 14611, 1555, 707, 2597, 3666, 609, 2635, 4189, 543, 2834, 3635, 269, 898, 568, 3987, 267, 2295, 2068, 267, 543, 595, 28474, 269, 898, 568, 5363, 547, 3247, 824, 3676, 2404, 609, 621, 563, 275, 269, 3680, 7296, 543, 10269, 2472, 563, 10712, 3183, 666, 581, 2693, 547, 2014, 19473, 29912, 269, 901, 6971, 1973, 2095, 538, 519, 8459, 269, 901, 6971, 519, 2702, 540, 8459, 8647, 269, 5525, 723, 849, 3254, 602, 1813, 547, 519, 7296, 540, 1346, 4171, 5817, 8459, 2068, 568, 610, 568, 1813, 547, 2049, 267, 741, 8459, 1599, 2501, 1524, 25921, 563, 276, 269, 744, 11053, 5861, 269, 645, 1168, 732, 540, 5061, 630, 1478, 519, 4831, 994, 18814, 547, 1279, 3856, 1928, 26973, 619, 267, 972, 568, 513, 4250, 540, 3441, 547, 519, 8459, 269, 5709, 1149, 4122, 1031, 538, 4915, 1331, 3441, 547, 519, 14401, 971, 607, 16481, 1575, 19745, 523, 267, 546, 545, 331, 1993, 523, 659, 267, 23040, 541, 28009, 267, 3092, 1421, 799, 538, 2490, 949, 1267, 538, 8459, 5821, 269, 13693, 519, 4387, 547, 1852, 707, 1928, 543, 798, 711, 28855, 1125, 707, 8459, 538, 1022, 1259, 563, 277, 269, 27276, 7899, 540, 1216, 454, 7804, 1074, 811, 982, 476, 274, 20990, 630, 1015, 268, 1321, 14296, 264, 540, 1216, 3232, 269, 1635, 6704, 2614, 1216, 267, 10729, 568, 29809, 543, 2337, 547, 2061, 519, 5305, 540, 6757, 3653, 689, 519, 1560, 543, 519, 8459, 10007, 563, 278, 269, 16316, 2638, 5346, 540, 14401, 454, 298, 573, 2284, 3676, 616, 1419, 6456, 543, 4049, 269, 1358, 798, 711, 1397, 1022, 4191, 2394, 789, 3914, 519, 3803, 1900, 269, 634, 1034, 3532, 855, 2500, 16185, 585, 6604, 543, 2038, 5868, 540, 8459, 3676, 568, 2834, 2638, 5346, 540, 519, 14401, 563, 3719, 621, 568, 513, 533, 640, 602, 713, 1505, 568, 711, 1031, 1454, 269, 16316, 2638, 5346, 540, 519, 8459, 568, 1360, 1271, 585, 519, 1164, 16151, 1268, 267, 945, 568, 7092, 689, 3987, 267, 13119, 267, 8377, 543, 4171, 1920, 814, 513, 1686, 540, 8459, 3676, 563, 2252, 596, 2648, 707, 14401, 543, 616, 811, 1271, 267, 1287, 798, 711, 7340, 547, 2638, 707, 8459, 5781, 1310, 519, 2085, 540, 476, 2412, 1296, 563, 763, 15864, 1505, 547, 13209, 8459, 2068, 543, 922, 5868, 616, 547, 1491, 513, 2268, 540, 1973, 2604, 2899, 513, 1032, 267, 2268, 1525, 24100, 538, 519, 1973, 543, 2932, 30614, 4255, 563, 7093, 8619, 1903, 540, 26640, 15302, 6176, 593, 26640, 15302, 543, 7216, 23369, 454, 6826, 18762, 543, 798, 711, 11716, 519, 2589, 540, 8459, 2068, 563, 1103, 25691, 538, 519, 3068, 543, 3952, 267, 9636, 538, 4189, 267, 13481, 610, 19849, 14536, 267, 11702, 538, 519, 1973, 267, 4743, 540, 25874, 585, 1279, 5712, 540, 942, 267, 7928, 30614, 538, 519, 3781, 267, 1928, 538, 10729, 267, 2589, 899, 8459, 3676, 666, 581, 513, 1129, 540, 3657, 563, 763, 1268, 7092, 689, 971, 9636, 1058, 979, 547, 519, 4387, 585, 7525, 6514, 563, 1103, 519, 9000, 540, 519, 1657, 2589, 267, 952, 972, 568, 513, 3940, 538, 519, 10729, 610, 972, 568, 606, 2333, 538, 519, 2179, 540, 1525, 24100, 538, 519, 1973, 267, 1287, 621, 568, 849, 513, 1129, 540, 8459, 2068, 563, 1103, 519, 2038, 5933, 540, 8459, 2068, 267, 5868, 568, 5393, 1271, 538, 519, 6604, 267, 1852, 267, 543, 10826, 540, 3676, 563, 25519, 1081, 585, 4144, 12185, 14904, 454, 7093, 3685, 540, 8459, 2068, 568, 3226, 1271, 585, 782, 15847, 2550, 269, 5221, 1472, 519, 1158, 267, 667, 269, 543, 3987, 22577, 616, 2101, 3123, 540, 8459, 5821, 269, 12128, 4386, 1813, 547, 8459, 5821, 540, 835, 540, 519, 1614, 2550, 540, 18127, 26640, 8376, 538, 12480, 1736, 269, 769, 1931, 547, 2061, 713, 3978, 1966, 267, 2550, 540, 3987, 1058, 581, 6854, 896, 519, 1852, 540, 3987, 676, 11955, 543, 21084, 563, 2690, 1169, 3461, 547, 917, 827, 519, 1198, 540, 3987, 593, 519, 8459, 563, 2005, 568, 1271, 547, 2638, 1973, 2604, 1169, 1614, 3275, 543, 3940, 538, 519, 10729, 563, 19102, 1078, 1973, 2604, 267, 3940, 4947, 538, 10729, 267, 11926, 538, 519, 1560, 267, 4227, 519, 2179, 540, 7280, 538, 519, 1973, 14578, 267, 543, 6175, 538, 519, 2179, 540, 7378, 13297, 585, 3987, 267, 3092, 563, 30048, 3361, 676, 8459, 10007, 6920, 3983, 568, 269, 1677, 2708, 519, 8647, 540, 519, 14401, 693, 2547, 2899, 1169, 1032, 16796, 1525, 24100, 543, 552, 294, 15709, 0, 6635, 322, 10936, 12669, 1436, 2098, 4532, 267, 3601, 912, 268, 4634, 538, 519, 1034, 10728, 5054, 267, 607, 1134, 607, 538, 519, 1604, 540, 3114, 4598, 267, 891, 23541, 1796, 856, 585, 741, 15006, 3379, 547, 13556, 7252, 563, 268, 898, 1281, 711, 2270, 5214, 3334, 602, 1223, 28148, 1860, 6740, 2472, 971, 607, 3282, 610, 19386, 2472, 563, 268, 13201, 513, 2067, 1617, 559, 9707, 2627, 543, 11315, 1145, 540, 476, 1015, 910, 736, 260, 676, 4320, 269, 901, 3959, 568, 1271, 538, 519, 1374, 540, 1950, 12432, 7252, 267, 3976, 1210, 7252, 538, 8022, 543, 9023, 19698, 267, 1141, 711, 1152, 4550, 2275, 528, 12509, 7252, 855, 849, 5687, 26491, 3601, 616, 1271, 563, 268, 31692, 1639, 676, 5068, 543, 16756, 720, 3601, 563, 268, 23433, 2627, 6051, 3601, 1310, 7344, 1764, 563, 268, 15020, 1279, 3028, 1272, 267, 799, 568, 6697, 547, 519, 3028, 1272, 540, 519, 1587, 3294, 454, 21008, 2581, 609, 3905, 1673, 760, 27647, 1944, 543, 27647, 545, 7252, 912, 268, 12669, 5314, 540, 13058, 1281, 711, 2154, 1804, 3937, 7516, 543, 5458, 1648, 2200, 563, 268, 1703, 616, 1100, 21021, 7687, 267, 519, 6988, 540, 519, 4070, 849, 1281, 711, 1860, 519, 14793, 6776, 12669, 1436, 609, 13058, 563, 268, 2060, 713, 1505, 267, 621, 568, 2009, 547, 3489, 513, 1454, 23198, 2627, 3379, 547, 3905, 1673, 760, 27647, 1944, 610, 27647, 1944, 563, 268, 2991, 12669, 1436, 540, 13058, 568, 13556, 5612, 1510, 1022, 3606, 4238, 454, 6635, 322, 10936, 12669, 1436, 540, 13058, 568, 1031, 538, 13123, 267, 23854, 267, 9635, 267, 4155, 7496, 267, 13793, 1513, 267, 3092, 269, 538, 4070, 269, 0, 25807, 296, 7495, 2975, 570, 21764, 6730, 25783, 296, 7495, 2975, 14510, 5508, 623, 269, 901, 3184, 568, 5963, 5059, 593, 11270, 545, 7305, 267, 543, 922, 2560, 634, 13595, 540, 11061, 568, 1360, 2352, 543, 1271, 538, 519, 21038, 540, 476, 280, 628, 1362, 1510, 1697, 7041, 543, 4967, 596, 666, 1406, 1780, 519, 1957, 609, 1434, 3489, 7436, 269, 6744, 849, 281, 476, 280, 628, 4147, 4569, 11872, 585, 23570, 543, 8549, 8274, 269, 1284, 786, 849, 6338, 513, 5985, 813, 585, 13156, 782, 519, 4967, 593, 5985, 269, 1284, 1683, 596, 609, 519, 7998, 4967, 585, 1362, 476, 280, 602, 616, 782, 4570, 543, 1434, 538, 2298, 269, 14168, 4967, 602, 2270, 2055, 267, 3635, 543, 1883, 2798, 540, 519, 3184, 269, 3371, 4422, 519, 1592, 540, 1018, 891, 4967, 2709, 1107, 1684, 707, 1582, 6709, 5465, 630, 1889, 753, 12497, 2243, 538, 1169, 1888, 264, 2073, 12815, 4574, 2073, 10374, 2055, 2073, 7043, 2055, 2073, 13038, 14893, 5999, 2073, 31592, 2042, 269, 3848, 476, 272, 1107, 26386, 540, 11061, 269, 4147, 476, 280, 11061, 910, 3848, 476, 272, 910, 26386, 540, 11061, 910, 11872, 269, 2334, 779, 1946, 649, 723, 547, 1683, 596, 476, 280, 628, 1362, 7998, 12193, 5751, 585, 2653, 4647, 519, 4967, 269, 4147, 476, 280, 7998, 11872, 616, 1863, 543, 786, 2141, 2611, 1863, 269, 1284, 786, 1832, 4946, 8242, 4967, 267, 2250, 4574, 267, 7058, 4574, 543, 824, 2326, 609, 942, 563, 28848, 8307, 29759, 1656, 29641, 1280, 589, 13600, 267, 7454, 5794, 16818, 321, 10430, 267, 717, 1912, 787, 15001, 17361, 623, 10730, 267, 17054, 17378, 9995, 16049, 1234, 10360, 267, 3619, 32627, 329, 836, 16199, 531, 18806, 1723, 267, 670, 11817, 1280, 22312, 769, 17125, 10767, 928, 267, 966, 339, 267, 1546, 583, 22385, 918, 31866, 5696, 520, 342, 32231, 5623, 267, 6341, 344, 836, 715, 22751, 5245, 267, 3798, 327, 20908, 330, 2967, 3203, 604, 9711, 267, 0, 6624, 3549, 3409, 547, 723, 5683, 3206, 267, 855, 713, 1419, 3762, 6800, 547, 4898, 952, 1373, 2048, 13582, 685, 568, 811, 827, 6455, 543, 8226, 2864, 982, 9494, 519, 4541, 543, 1373, 3039, 6857, 563, 20685, 673, 7082, 1143, 1107, 7836, 593, 3039, 543, 4023, 2389, 8565, 1426, 267, 7802, 267, 7622, 5370, 267, 1648, 267, 12948, 543, 2951, 568, 4742, 811, 540, 513, 7678, 543, 6800, 616, 3206, 811, 827, 1018, 789, 6718, 269, 2755, 649, 782, 1416, 827, 519, 2104, 540, 519, 4541, 267, 519, 5354, 540, 6300, 11825, 1810, 1406, 1616, 547, 2628, 811, 610, 15093, 2298, 540, 1587, 610, 2123, 4313, 267, 4466, 513, 3666, 568, 4742, 811, 543, 811, 540, 513, 4161, 1312, 585, 9755, 543, 6300, 11825, 563, 6624, 12478, 723, 519, 18772, 525, 968, 292, 1723, 892, 543, 968, 5319, 341, 10098, 892, 799, 666, 1118, 621, 2731, 2352, 547, 10646, 519, 3017, 1063, 513, 1875, 25984, 1587, 543, 2472, 609, 2357, 16666, 3039, 22754, 269, 10705, 13476, 7874, 2474, 666, 2490, 513, 1875, 5498, 29818, 1587, 883, 513, 1655, 22673, 267, 5929, 3039, 31290, 256, 24296, 889, 560, 656, 7007, 6811, 616, 1419, 1500, 676, 12478, 855, 711, 20483, 909, 267, 606, 1383, 540, 713, 1131, 581, 281, 968, 18478, 689, 476, 1911, 260, 13381, 2326, 5608, 2638, 519, 6811, 543, 2307, 585, 2963, 269, 589, 12001, 1587, 786, 723, 782, 519, 2963, 5693, 2139, 585, 519, 1158, 547, 1294, 563, 310, 4292, 568, 606, 4277, 1888, 543, 13381, 1543, 8276, 1468, 568, 1141, 2472, 616, 3983, 3022, 609, 13381, 1543, 269, 6733, 856, 585, 519, 3017, 1063, 968, 14006, 15926, 10179, 892, 3653, 543, 968, 2181, 15926, 10179, 892, 3653, 269, 968, 8070, 15926, 10179, 892, 3653, 4016, 547, 2472, 602, 723, 6603, 519, 1439, 540, 741, 1272, 4783, 543, 1131, 6382, 581, 16144, 585, 25087, 269, 968, 7093, 15926, 10179, 892, 3653, 568, 519, 3653, 6383, 676, 513, 10672, 607, 851, 540, 513, 21753, 1184, 269, 2368, 2472, 786, 2270, 1312, 2010, 540, 3653, 267, 855, 1210, 968, 14006, 15926, 10179, 892, 3653, 568, 519, 1483, 9740, 563, 7883, 532, 968, 15132, 983, 892, 585, 721, 729, 711, 18532, 1107, 621, 729, 23139, 269, 769, 476, 1960, 280, 938, 5067, 729, 4535, 16349, 569, 267, 543, 646, 1185, 5312, 11959, 269, 1677, 948, 1864, 267, 649, 6410, 547, 513, 1507, 3484, 585, 513, 8902, 6197, 543, 547, 3049, 938, 1920, 1018, 649, 8057, 6000, 267, 543, 865, 938, 3460, 3459, 269, 2060, 942, 267, 607, 513, 1920, 649, 19927, 711, 547, 3653, 267, 649, 19927, 547, 2671, 543, 1034, 540, 782, 649, 19927, 547, 2569, 267, 19074, 543, 22120, 269, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16482, 258, 6348, 5025, 321, 1495, 656, 590, 4548, 454, 258, 9046, 476, 2537, 454, 16482, 258, 589, 3501, 1297, 568, 513, 1297, 585, 799, 519, 2040, 540, 922, 1697, 16975, 454, 258, 568, 4010, 3160, 547, 519, 1297, 269, 1280, 1383, 267, 519, 2040, 540, 519, 1697, 454, 258, 16975, 540, 476, 2764, 1131, 581, 476, 272, 1341, 476, 273, 1341, 476, 275, 1341, 476, 278, 1341, 476, 1691, 815, 476, 2764, 267, 799, 1797, 602, 476, 2764, 454, 258, 568, 513, 3501, 1297, 563, 16482, 258, 589, 1297, 562, 568, 1572, 28119, 952, 519, 2040, 540, 922, 1697, 16975, 568, 454, 258, 1447, 982, 562, 543, 621, 568, 1572, 10731, 952, 713, 2040, 20489, 562, 563, 16482, 258, 1306, 476, 1321, 568, 519, 10545, 10731, 1297, 267, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 476, 277, 815, 476, 1626, 267, 519, 454, 258, 10545, 1297, 602, 666, 581, 2854, 607, 519, 2040, 540, 1079, 10731, 2338, 454, 258, 568, 476, 2190, 269, 1635, 6310, 2079, 267, 621, 666, 581, 3254, 602, 782, 9981, 454, 258, 3152, 982, 476, 27005, 2537, 666, 581, 2854, 607, 519, 2040, 540, 1079, 10731, 2338, 563, 258, 1717, 267, 713, 5580, 3970, 3112, 581, 4389, 1022, 2417, 676, 2079, 454, 258, 1256, 1498, 621, 568, 1634, 602, 519, 6574, 1297, 602, 3112, 581, 454, 258, 6829, 607, 519, 2040, 540, 1079, 10731, 2338, 568, 1447, 982, 713, 3970, 563, 16482, 258, 4855, 519, 2040, 540, 782, 519, 2318, 9981, 799, 3112, 581, 2854, 607, 454, 258, 519, 2040, 540, 1079, 10731, 2338, 563, 16482, 5814, 942, 454, 5814, 1187, 551, 8962, 692, 299, 2752, 294, 12239, 815, 476, 27005, 2537, 692, 3698, 942, 318, 1410, 1815, 1081, 6262, 1712, 2187, 825, 1376, 815, 942, 17085, 1442, 4590, 825, 1267, 815, 859, 531, 6262, 1712, 994, 825, 2196, 22710, 815, 942, 17085, 1442, 3890, 910, 1376, 454, 825, 2132, 1267, 267, 2196, 22710, 692, 3698, 2188, 3799, 2187, 453, 325, 815, 1592, 263, 3553, 6600, 9417, 8962, 18622, 706, 576, 17338, 14857, 5417, 1029, 267, 630, 314, 328, 267, 562, 2260, 328, 316, 585, 1775, 538, 2039, 263, 272, 267, 703, 3799, 1262, 271, 269, 276, 264, 1341, 476, 272, 264, 952, 562, 4939, 1775, 2652, 476, 271, 4297, 4917, 453, 325, 31927, 3799, 994, 16596, 535, 692, 3698, 1966, 1822, 2537, 10031, 453, 4289, 15058, 5332, 4548, 815, 11713, 22610, 1775, 538, 2039, 263, 1321, 267, 299, 2752, 294, 12239, 2187, 453, 14851, 2040, 263, 2399, 832, 9217, 4297, 3436, 1775, 912, 4848, 453, 4289, 15058, 5332, 4548, 6910, 9217, 2020, 453, 31184, 8217, 815, 1305, 10797, 22610, 1775, 538, 1592, 15058, 5332, 4548, 912, 453, 22610, 795, 538, 1592, 15058, 5332, 4548, 912, 4848, 14851, 1775, 1341, 795, 2999, 700, 2752, 294, 12239, 912, 15235, 453, 31184, 8217, 14491, 9217, 1341, 795, 2020, 453, 333, 815, 476, 272, 454, 453, 20135, 815, 476, 271, 454, 453, 6112, 562, 2999, 700, 2752, 294, 12239, 912, 453, 14851, 562, 711, 538, 10917, 8217, 912, 4848, 453, 20135, 6834, 562, 454, 453, 453, 333, 6834, 476, 272, 454, 16596, 2698, 692, 2745, 263, 5503, 318, 1410, 1815, 1081, 2891, 2889, 12378, 1822, 2537, 3890, 27363, 258, 630, 275, 1704, 7176, 278, 272, 267, 476, 276, 269, 279, 1015, 279, 4366, 279, 4391, 11260, 28434, 994, 0, 12163, 288, 794, 8847, 585, 519, 7161, 14682, 339, 333, 267, 7161, 318, 6255, 333, 267, 7161, 20189, 3913, 267, 543, 454, 4565, 4169, 318, 2998, 531, 5334, 5902, 1154, 1806, 563, 734, 667, 3570, 715, 879, 2999, 333, 879, 287, 636, 323, 12975, 285, 267, 5147, 476, 1691, 267, 476, 1708, 272, 454, 20701, 5814, 575, 339, 6853, 7749, 692, 12163, 10376, 575, 339, 6853, 7749, 2962, 568, 513, 5124, 1599, 269, 634, 476, 272, 560, 4661, 568, 519, 1699, 454, 8063, 267, 543, 519, 1866, 616, 519, 2962, 781, 8912, 7440, 269, 901, 568, 26922, 547, 454, 6011, 2409, 616, 3989, 585, 5124, 5049, 630, 3602, 519, 1101, 4661, 568, 454, 531, 1811, 519, 2012, 540, 519, 1362, 3236, 1040, 1280, 1383, 267, 519, 1599, 454, 335, 1157, 1575, 4433, 14720, 264, 28352, 519, 2962, 18011, 335, 1157, 1575, 3299, 536, 6393, 763, 7161, 8996, 3527, 946, 1614, 1533, 4632, 912, 268, 1064, 314, 321, 316, 815, 3625, 536, 781, 2990, 267, 799, 949, 581, 1412, 14456, 3299, 1412, 8518, 3299, 610, 1776, 3625, 563, 268, 2312, 314, 321, 316, 815, 8771, 952, 513, 3625, 568, 593, 536, 610, 519, 1688, 568, 8066, 536, 267, 3116, 6936, 563, 268, 8066, 9131, 8518, 11172, 815, 2012, 540, 519, 3625, 1373, 4371, 267, 610, 8771, 952, 1412, 8518, 262, 568, 8900, 563, 20701, 3698, 4584, 1575, 4433, 21726, 2187, 825, 952, 521, 269, 1842, 20572, 316, 2652, 1412, 14456, 262, 543, 521, 269, 27234, 20572, 316, 2652, 6936, 543, 521, 269, 3835, 532, 9131, 8518, 11172, 2652, 8771, 912, 1038, 521, 269, 1842, 20572, 316, 815, 1412, 8518, 7055, 1038, 521, 269, 27234, 20572, 316, 815, 8771, 454, 1038, 521, 269, 3835, 532, 9131, 8518, 11172, 815, 1535, 454, 1038, 2132, 521, 692, 3698, 13417, 871, 4433, 14720, 272, 14720, 273, 2187, 825, 952, 521, 269, 1842, 314, 321, 272, 316, 2652, 536, 273, 543, 536, 273, 11203, 1412, 14456, 262, 543, 521, 269, 27234, 314, 321, 272, 316, 2652, 6936, 543, 521, 269, 3835, 532, 9131, 8518, 11172, 2652, 8771, 912, 1038, 521, 269, 1842, 314, 321, 272, 316, 815, 1412, 8518, 7055, 1038, 521, 269, 27234, 314, 321, 272, 316, 815, 8771, 454, 1038, 521, 269, 3835, 532, 9131, 8518, 11172, 815, 536, 272, 454, 1038, 521, 269, 27234, 314, 321, 273, 316, 815, 6936, 454, 1038, 2132, 521, 22562, 3698, 2322, 6658, 4433, 14720, 272, 2187, 825, 952, 521, 269, 1842, 314, 321, 272, 316, 2652, 1412, 8518, 12466, 1038, 521, 269, 1842, 314, 321, 272, 316, 815, 1412, 14456, 7055, 1038, 521, 269, 27234, 314, 321, 272, 316, 815, 6936, 454, 1038, 521, 269, 3835, 532, 9131, 8518, 11172, 815, 8771, 454, 1038, 2132, 521, 692, 3698, 10518, 4433, 14720, 272, 14720, 273, 2187, 825, 952, 521, 269, 1842, 314, 321, 272, 316, 2652, 1412, 8518, 262, 543, 521, 269, 27234, 314, 321, 273, 316, 2652, 6936, 912, 1038, 521, 269, 1842, 314, 321, 272, 316, 815, 536, 273, 454, 1038, 521, 269, 27234, 314, 321, 272, 316, 815, 6936, 454, 1038, 521, 269, 3835, 532, 9131, 8518, 11172, 815, 8771, 454, 1038, 521, 269, 27234, 314, 321, 273, 316, 815, 8771, 454, 1038, 2132, 521, 7531, 258, 15681, 12877, 7749, 1018, 519, 3527, 616, 454, 16482, 25885, 6853, 7749, 19709, 743, 732, 318, 13905, 9638, 1157, 1575, 267, 13417, 871, 267, 2322, 6658, 267, 10518, 994, 0, 5814, 4351, 454, 5814, 621, 1068, 8962, 454, 3698, 28219, 318, 706, 531, 318, 18474, 657, 263, 3438, 762, 2187, 825, 886, 338, 14682, 582, 815, 11713, 825, 1247, 7003, 5560, 14554, 14682, 582, 264, 10922, 12055, 762, 15631, 273, 14158, 1038, 1003, 10734, 582, 815, 4351, 27110, 263, 271, 267, 12055, 762, 15631, 272, 8079, 1948, 5906, 454, 1038, 1003, 4671, 641, 815, 4351, 27110, 263, 271, 267, 12055, 762, 15631, 272, 7481, 1038, 952, 1003, 10734, 582, 2652, 1003, 4671, 641, 912, 2018, 3136, 454, 1038, 8640, 1003, 10734, 582, 3436, 1003, 4671, 641, 912, 2018, 952, 630, 11133, 10734, 582, 910, 1003, 4671, 641, 264, 538, 886, 338, 14682, 582, 912, 3546, 3136, 454, 2018, 3116, 912, 3546, 886, 338, 14682, 582, 6910, 16325, 10734, 582, 910, 1003, 4671, 641, 994, 1038, 8640, 1003, 10734, 582, 3436, 1003, 4671, 641, 912, 2018, 952, 630, 11133, 10734, 582, 910, 1003, 4671, 641, 264, 538, 886, 338, 14682, 582, 912, 3546, 3136, 454, 2018, 3116, 912, 3546, 886, 338, 14682, 582, 6910, 16325, 10734, 582, 910, 1003, 4671, 641, 2020, 825, 1820, 5560, 14554, 14682, 582, 994, 3698, 10659, 318, 5976, 318, 30161, 10698, 263, 3438, 762, 267, 678, 2187, 825, 1948, 10659, 3488, 5723, 7374, 3299, 476, 273, 264, 25341, 9474, 8028, 5084, 7460, 30183, 7131, 454, 825, 1948, 10659, 263, 9792, 263, 275, 1070, 476, 274, 264, 25341, 476, 23713, 476, 25320, 476, 271, 2537, 476, 11277, 454, 825, 7535, 815, 24042, 263, 3438, 762, 994, 825, 1948, 1101, 596, 1711, 513, 24042, 540, 519, 3312, 3403, 799, 596, 666, 3277, 2663, 609, 454, 825, 1948, 519, 7222, 17523, 454, 825, 562, 815, 7003, 9638, 944, 994, 825, 1948, 1205, 519, 3259, 540, 519, 24042, 454, 825, 952, 678, 3436, 562, 912, 1038, 2132, 454, 825, 1948, 952, 519, 3259, 540, 519, 5551, 32089, 568, 2362, 982, 519, 3259, 540, 519, 24042, 454, 825, 1948, 621, 568, 711, 2009, 547, 1711, 32545, 865, 2132, 1510, 3257, 1945, 692, 825, 17523, 815, 1592, 263, 9792, 16868, 4917, 825, 1948, 1711, 519, 1101, 1592, 540, 17523, 538, 3339, 1931, 630, 17523, 815, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 24222, 337, 7481, 825, 1948, 909, 547, 519, 5551, 2039, 678, 692, 825, 1948, 344, 1752, 24042, 9638, 944, 5157, 316, 585, 1775, 538, 17523, 994, 825, 1948, 2132, 519, 1101, 32089, 799, 568, 513, 24042, 540, 519, 3403, 609, 519, 3312, 454, 825, 1948, 17523, 909, 547, 678, 24042, 6025, 340, 921, 314, 271, 3910, 24042, 314, 272, 3910, 2807, 267, 14654, 921, 314, 337, 20285, 825, 1247, 6936, 912, 1038, 585, 1775, 538, 20328, 263, 9792, 16868, 15892, 2018, 1948, 1775, 786, 979, 689, 678, 268, 272, 267, 678, 268, 273, 267, 678, 268, 274, 267, 23099, 267, 271, 692, 2018, 952, 17523, 5157, 316, 11203, 1775, 1341, 562, 910, 678, 912, 3546, 1948, 952, 2783, 568, 3020, 4849, 585, 519, 2013, 454, 3546, 1948, 602, 693, 519, 2990, 1775, 538, 519, 24042, 519, 2063, 2009, 454, 3546, 1948, 1915, 5526, 1287, 621, 568, 3160, 543, 8399, 609, 519, 1915, 454, 3546, 1948, 1354, 799, 1797, 602, 713, 1915, 568, 8719, 676, 519, 1985, 454, 3546, 1948, 2009, 835, 692, 3546, 1948, 1383, 281, 24042, 8782, 5723, 7374, 292, 262, 865, 562, 815, 476, 276, 267, 678, 284, 274, 17523, 568, 1496, 271, 267, 272, 267, 273, 316, 693, 1376, 1775, 284, 273, 454, 3546, 1948, 6556, 630, 288, 32390, 267, 290, 994, 3546, 1948, 17523, 5157, 316, 568, 476, 273, 543, 11974, 952, 476, 273, 11203, 476, 275, 630, 273, 1341, 276, 268, 274, 264, 568, 3020, 543, 2736, 454, 3546, 1948, 2333, 17523, 5157, 27994, 272, 543, 6556, 630, 288, 32390, 267, 291, 994, 3546, 1948, 17523, 5157, 316, 568, 476, 274, 543, 11974, 952, 476, 274, 11203, 476, 275, 630, 273, 1341, 276, 268, 274, 264, 568, 3020, 543, 2736, 454, 3546, 1948, 2333, 17523, 5157, 27994, 272, 543, 6556, 630, 288, 32390, 267, 292, 994, 3546, 1948, 17523, 5157, 316, 568, 476, 275, 543, 11974, 952, 476, 275, 11203, 476, 275, 630, 273, 1341, 276, 268, 274, 264, 568, 7301, 865, 1985, 8520, 454, 3546, 1948, 21767, 281, 476, 1775, 815, 476, 272, 17523, 5157, 316, 568, 476, 272, 543, 11974, 952, 476, 275, 11203, 476, 274, 630, 272, 1341, 276, 268, 274, 994, 3546, 1948, 568, 3020, 543, 2736, 23099, 543, 865, 593, 692, 3546, 2736, 454, 1038, 3116, 912, 2018, 1948, 950, 519, 585, 31467, 4625, 8737, 1287, 782, 2009, 1915, 454, 2018, 1948, 10659, 616, 9268, 543, 519, 1599, 7475, 454, 2018, 2132, 692, 1038, 1948, 1376, 6882, 454, 1038, 524, 815, 24042, 9638, 944, 5157, 316, 585, 1775, 538, 17523, 264, 1948, 24042, 689, 3009, 454, 1038, 1003, 5091, 14554, 815, 476, 271, 454, 1038, 952, 524, 314, 271, 316, 2652, 476, 271, 543, 524, 15631, 272, 316, 2652, 12055, 762, 15631, 272, 14158, 2018, 886, 338, 815, 11713, 2018, 12242, 318, 18474, 657, 815, 621, 1068, 8962, 2593, 321, 5209, 6262, 267, 476, 273, 994, 2018, 585, 546, 538, 12242, 318, 18474, 657, 912, 3546, 886, 338, 6910, 5560, 314, 272, 316, 910, 546, 314, 271, 7481, 2018, 585, 1535, 538, 2039, 263, 272, 267, 12055, 762, 15631, 272, 316, 2187, 3546, 952, 1535, 538, 886, 338, 912, 7386, 1003, 5091, 14554, 6834, 476, 272, 692, 2018, 952, 1003, 5091, 14554, 2652, 12055, 762, 15631, 273, 14158, 3546, 2132, 524, 692, 1038, 17523, 5157, 316, 6834, 476, 272, 1948, 607, 2854, 8399, 609, 519, 1985, 1915, 799, 1797, 519, 454, 1038, 1948, 4994, 693, 1775, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 10070, 1104, 9949, 18743, 454, 5228, 17511, 1104, 4347, 5435, 291, 1112, 267, 5903, 267, 32368, 8698, 7531, 5035, 8641, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 29951, 659, 4293, 281, 4347, 5435, 291, 1112, 314, 1598, 267, 5903, 314, 1598, 14963, 815, 9949, 18743, 17338, 2020, 825, 1219, 1039, 318, 8354, 4311, 267, 14584, 318, 5228, 281, 1193, 267, 14584, 15461, 281, 1193, 2187, 1038, 1582, 269, 29951, 659, 4293, 314, 591, 23753, 318, 5228, 4940, 6572, 263, 591, 23753, 15461, 2020, 825, 1219, 1205, 318, 3200, 1182, 318, 5976, 318, 8354, 4311, 264, 9847, 32368, 8698, 314, 1598, 14158, 1038, 2132, 1582, 269, 29951, 659, 4293, 269, 12399, 10797, 825, 1219, 1265, 9078, 784, 652, 24786, 318, 5228, 4311, 267, 14584, 318, 5228, 281, 1193, 264, 9847, 703, 912, 1038, 952, 14584, 318, 5228, 711, 538, 1582, 10947, 318, 3200, 1182, 318, 5976, 318, 8354, 10031, 2018, 6318, 28759, 2891, 19723, 23753, 1281, 711, 723, 8728, 610, 1281, 711, 2291, 5602, 1038, 2132, 1582, 269, 4206, 338, 263, 591, 23753, 318, 5228, 267, 476, 272, 2020, 825, 1219, 546, 12028, 4311, 267, 1376, 17045, 281, 1193, 267, 1699, 24786, 281, 703, 264, 9847, 703, 912, 1038, 1267, 24786, 815, 1699, 24786, 454, 1038, 952, 1376, 17045, 711, 538, 1582, 10947, 318, 3200, 1182, 318, 5976, 318, 8354, 10031, 2018, 2132, 1267, 24786, 454, 1038, 585, 6316, 538, 1582, 269, 29951, 659, 4293, 314, 11034, 17045, 14158, 2018, 1267, 24786, 815, 3193, 31114, 24786, 267, 1582, 269, 4206, 338, 263, 8354, 267, 1699, 24786, 1341, 476, 272, 4297, 476, 1948, 476, 16417, 3522, 6459, 20686, 13194, 3522, 20500, 20686, 9326, 10780, 20686, 9686, 17095, 3522, 10528, 30324, 21134, 888, 1038, 2132, 1267, 24786, 454, 0, 258, 10046, 1852, 6898, 692, 258, 952, 268, 12828, 454, 343, 815, 476, 1015, 454, 604, 1535, 2999, 476, 1015, 912, 825, 1820, 2891, 343, 568, 1447, 982, 476, 280, 23528, 19197, 1535, 3436, 476, 1015, 912, 825, 1820, 2891, 343, 568, 3152, 982, 476, 1015, 23528, 12828, 912, 825, 1820, 2891, 343, 568, 11224, 982, 476, 1015, 1701, 2020, 258, 585, 454, 6919, 815, 22373, 13906, 2580, 834, 27594, 2580, 834, 8127, 31116, 1721, 530, 538, 1913, 912, 825, 1820, 26028, 2020, 258, 2039, 3890, 1599, 454, 1721, 1775, 538, 2039, 263, 276, 2187, 825, 1820, 9217, 2020, 258, 1599, 4214, 454, 3698, 2040, 3799, 2187, 825, 759, 815, 476, 271, 454, 825, 1247, 562, 3436, 476, 271, 912, 1038, 759, 815, 759, 1341, 562, 454, 1038, 562, 815, 562, 910, 476, 272, 454, 825, 2132, 759, 692, 2745, 4433, 636, 263, 1015, 11723, 258, 25754, 454, 3698, 1118, 18425, 920, 618, 528, 3799, 2187, 825, 2132, 25754, 1535, 281, 1535, 1341, 562, 692, 325, 815, 1118, 18425, 920, 618, 528, 263, 277, 994, 2745, 6600, 263, 1626, 4917, 0, 18851, 5871, 9074, 454, 574, 921, 618, 4122, 1031, 3252, 1934, 454, 20701, 454, 5814, 4351, 454, 5814, 579, 328, 692, 18196, 8217, 815, 27210, 825, 834, 24629, 20350, 825, 834, 1485, 20350, 825, 834, 20204, 20350, 825, 834, 26920, 20350, 825, 834, 11357, 30533, 539, 20350, 825, 834, 19689, 1032, 20350, 825, 834, 335, 21332, 1032, 20350, 825, 834, 706, 4599, 1006, 20350, 825, 834, 23748, 20350, 825, 834, 514, 6006, 15419, 321, 4650, 318, 1718, 1431, 815, 27210, 825, 476, 1321, 2676, 825, 476, 4029, 2676, 825, 476, 4968, 271, 2676, 825, 476, 1911, 1822, 271, 2676, 825, 476, 272, 2676, 825, 476, 1001, 280, 2676, 825, 476, 1001, 280, 2676, 825, 476, 1911, 1822, 876, 2676, 825, 476, 1911, 1822, 271, 2676, 825, 476, 1911, 1822, 271, 9239, 3698, 5352, 318, 12690, 6025, 762, 2187, 825, 8173, 825, 9198, 919, 4351, 543, 2189, 5569, 563, 825, 2433, 12407, 3349, 281, 6538, 910, 513, 1257, 3758, 609, 1239, 5638, 689, 1114, 13838, 454, 825, 2433, 8873, 281, 15932, 2189, 7329, 270, 4486, 454, 825, 8173, 825, 2189, 28767, 815, 1496, 454, 1038, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 20350, 1038, 834, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 20350, 1038, 834, 11277, 27174, 4281, 280, 271, 20350, 1038, 27719, 319, 349, 256, 287, 258, 259, 260, 317, 261, 265, 3890, 318, 268, 23785, 346, 314, 3686, 347, 281, 10086, 283, 285, 286, 270, 31116, 825, 1247, 6936, 912, 1038, 5569, 318, 10090, 1807, 815, 1496, 12690, 26716, 4069, 263, 10420, 994, 23351, 585, 1347, 538, 2189, 28767, 585, 9041, 538, 2039, 263, 273, 22708, 1038, 4351, 11075, 28984, 30415, 318, 10090, 1807, 994, 1038, 6383, 815, 834, 2668, 21860, 30415, 318, 10090, 1807, 994, 1038, 7329, 8217, 815, 1496, 26383, 16182, 318, 4486, 314, 271, 316, 585, 6241, 16182, 318, 4486, 538, 3349, 2639, 1038, 952, 6383, 711, 538, 7329, 8217, 912, 2018, 2132, 6383, 7531, 3698, 1039, 28767, 3799, 13246, 8217, 2187, 825, 8173, 825, 1039, 2418, 689, 1592, 563, 825, 2433, 12407, 2338, 8217, 281, 1592, 609, 9981, 563, 825, 2433, 8873, 281, 1039, 16597, 8217, 994, 825, 8173, 825, 1039, 5332, 13246, 815, 476, 271, 454, 825, 585, 1297, 538, 2338, 8217, 912, 1038, 1039, 5332, 13246, 6834, 1297, 454, 825, 2132, 1039, 5332, 13246, 7531, 3698, 6023, 5334, 677, 5332, 1868, 10857, 784, 652, 5332, 1868, 2187, 825, 8173, 825, 23037, 519, 5569, 1239, 538, 26799, 1931, 563, 825, 2433, 12407, 13074, 5332, 1868, 281, 8745, 540, 1004, 547, 4990, 563, 825, 2433, 8873, 281, 1592, 609, 15044, 4408, 454, 825, 8173, 825, 1535, 815, 476, 271, 454, 825, 1247, 1535, 2999, 7003, 10857, 784, 652, 5332, 1868, 2187, 1038, 585, 967, 823, 538, 2039, 12759, 10857, 784, 652, 5332, 1868, 264, 910, 476, 272, 2187, 2018, 952, 13074, 5332, 1868, 314, 785, 823, 316, 3436, 13074, 5332, 1868, 314, 785, 823, 1341, 476, 272, 14158, 3546, 10917, 815, 13074, 5332, 1868, 314, 785, 823, 1341, 476, 272, 2639, 3546, 13074, 5332, 1868, 314, 785, 823, 1341, 476, 272, 316, 815, 13074, 5332, 1868, 314, 785, 823, 2639, 3546, 13074, 5332, 1868, 314, 785, 823, 316, 815, 10917, 454, 1038, 1535, 6834, 476, 272, 454, 825, 2132, 13074, 5332, 1868, 7531, 3698, 1205, 318, 785, 1182, 263, 12528, 17750, 267, 3593, 318, 641, 5406, 2187, 825, 8173, 825, 4855, 4994, 538, 1592, 454, 825, 2433, 12407, 3593, 17750, 281, 1871, 3177, 689, 3593, 454, 825, 2433, 12407, 3593, 318, 641, 5406, 281, 1592, 609, 2139, 3593, 6724, 454, 825, 2433, 8873, 281, 1775, 910, 4994, 454, 825, 8173, 825, 585, 1775, 538, 2039, 12759, 263, 12528, 318, 641, 5406, 15892, 1038, 952, 3593, 17750, 2652, 3593, 318, 641, 5406, 5157, 14158, 2018, 2132, 1775, 7531, 3698, 2638, 318, 529, 20311, 263, 12528, 17750, 2187, 825, 8173, 825, 6744, 952, 3403, 9936, 568, 1297, 563, 825, 2433, 12407, 3593, 17750, 281, 1871, 3177, 689, 3593, 454, 825, 2433, 8873, 281, 1630, 18978, 454, 825, 8173, 825, 952, 3593, 17750, 18994, 323, 13424, 3890, 543, 703, 263, 12528, 17750, 264, 13843, 476, 271, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 1239, 318, 18196, 5091, 8817, 318, 517, 5332, 13246, 263, 6943, 15058, 12774, 2187, 825, 8173, 825, 6744, 952, 1239, 1826, 568, 8200, 593, 2338, 563, 825, 2433, 12407, 1826, 15058, 12774, 912, 825, 2433, 8873, 281, 1630, 18978, 454, 825, 8173, 825, 952, 1826, 15058, 12774, 538, 2010, 8217, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 2638, 12774, 18425, 318, 9792, 263, 12528, 17750, 267, 3593, 318, 641, 5406, 2187, 825, 8173, 825, 6744, 952, 1239, 568, 538, 1978, 6302, 454, 825, 2433, 12407, 3593, 17750, 281, 1871, 3177, 689, 3593, 454, 825, 2433, 12407, 3593, 318, 641, 5406, 281, 1592, 609, 2139, 3593, 6724, 454, 825, 2433, 8873, 281, 1630, 18978, 454, 825, 8173, 825, 967, 823, 815, 1205, 318, 785, 1182, 263, 12528, 318, 641, 5406, 267, 2010, 8217, 2020, 825, 952, 3593, 318, 641, 5406, 2652, 834, 11357, 30533, 539, 13426, 1038, 952, 703, 263, 12528, 17750, 264, 2652, 476, 271, 610, 8473, 318, 1718, 1431, 314, 785, 823, 316, 2652, 703, 18692, 3546, 3593, 17750, 2187, 2018, 2132, 6936, 454, 825, 3116, 912, 1038, 952, 8473, 318, 1718, 1431, 314, 785, 823, 316, 13843, 703, 263, 12528, 17750, 264, 3436, 476, 271, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 1205, 6831, 8091, 16182, 6025, 762, 267, 7329, 318, 267, 3349, 14067, 4450, 2187, 825, 8173, 825, 6744, 952, 3593, 3177, 7329, 799, 568, 538, 6538, 6025, 762, 994, 825, 2433, 12407, 3349, 281, 1257, 3758, 1141, 616, 3769, 930, 1344, 563, 825, 2433, 12407, 7329, 318, 281, 7329, 270, 4486, 2594, 547, 581, 1265, 454, 825, 2433, 8873, 281, 2594, 799, 568, 15095, 609, 7329, 454, 825, 8173, 825, 1247, 6936, 912, 1038, 22646, 318, 13440, 867, 815, 1496, 13440, 867, 585, 2594, 538, 3349, 952, 7329, 318, 2652, 2594, 314, 271, 27663, 1038, 952, 22646, 318, 13440, 867, 11203, 1496, 14158, 2018, 2736, 454, 1038, 579, 328, 31428, 318, 19587, 8548, 20687, 2891, 8923, 1683, 2953, 7329, 256, 2668, 21639, 15405, 1038, 7329, 318, 815, 579, 328, 10947, 17750, 338, 8443, 257, 11767, 7329, 540, 2594, 945, 596, 1616, 12575, 257, 3910, 834, 15419, 825, 579, 328, 31428, 4671, 762, 263, 572, 2117, 1117, 318, 13440, 867, 267, 3349, 14067, 4450, 994, 825, 22646, 318, 13440, 867, 815, 22646, 318, 13440, 867, 314, 271, 316, 476, 1948, 10002, 871, 689, 1592, 540, 8638, 454, 825, 2132, 22646, 318, 13440, 867, 7531, 3698, 2638, 7272, 1601, 2225, 318, 26303, 318, 13440, 867, 18692, 1038, 3593, 17750, 2676, 1038, 22646, 318, 13440, 867, 2676, 1038, 967, 823, 318, 641, 5406, 2187, 825, 8173, 825, 6744, 952, 568, 2009, 547, 9337, 2594, 538, 3349, 563, 825, 2433, 12407, 3593, 17750, 281, 9936, 547, 1689, 676, 3593, 538, 1142, 9074, 454, 825, 2433, 12407, 22646, 318, 13440, 867, 281, 7329, 540, 2594, 267, 799, 3593, 1616, 547, 1689, 454, 825, 2433, 12407, 967, 823, 318, 641, 5406, 281, 4994, 540, 713, 9936, 538, 1142, 9074, 454, 825, 2433, 8873, 281, 8242, 2594, 609, 1007, 1871, 454, 825, 8173, 825, 952, 1239, 318, 18196, 5091, 8817, 318, 517, 5332, 13246, 263, 12528, 17750, 2187, 1038, 1297, 15461, 318, 13765, 815, 579, 328, 10947, 17750, 338, 8443, 257, 8923, 1683, 513, 1007, 1871, 257, 3910, 834, 5602, 1038, 952, 2638, 318, 529, 20311, 28840, 15461, 318, 13765, 264, 543, 2638, 12774, 18425, 318, 9792, 18692, 3546, 1297, 15461, 318, 13765, 267, 3593, 17750, 2187, 2018, 22646, 318, 13440, 867, 314, 785, 823, 318, 641, 5406, 1341, 476, 272, 316, 815, 1297, 15461, 318, 13765, 454, 2018, 2132, 22646, 318, 13440, 867, 454, 1038, 3116, 912, 2018, 579, 328, 31428, 318, 19587, 8548, 20687, 2891, 8923, 1683, 513, 2953, 1871, 256, 2668, 21639, 15405, 825, 3116, 912, 1038, 22646, 318, 13440, 867, 314, 785, 823, 318, 641, 5406, 316, 815, 3593, 17750, 454, 1038, 2132, 22646, 318, 13440, 867, 454, 0, 5814, 11885, 607, 5286, 5897, 12639, 20179, 269, 23092, 263, 272, 3418, 258, 10472, 568, 1250, 1101, 8849, 3060, 689, 15072, 538, 9226, 630, 21671, 11885, 1040, 1477, 258, 527, 568, 513, 3049, 4464, 8849, 3060, 609, 476, 273, 6456, 6106, 269, 5897, 5035, 16376, 2690, 1189, 10468, 1116, 15187, 1740, 318, 275, 299, 24998, 8029, 22592, 6449, 8181, 9191, 1345, 267, 562, 17750, 338, 267, 4494, 272, 267, 4494, 273, 267, 562, 318, 16059, 338, 8029, 453, 453, 258, 1372, 743, 2130, 519, 12035, 540, 519, 3060, 955, 268, 1477, 453, 453, 258, 30135, 689, 3403, 331, 9707, 547, 1101, 6456, 4494, 1477, 453, 19677, 9884, 271, 815, 5286, 20179, 20120, 333, 3799, 17750, 338, 267, 4494, 272, 264, 910, 476, 272, 1477, 453, 453, 258, 30135, 689, 1101, 6456, 4494, 547, 2034, 6456, 4494, 1477, 453, 19677, 9884, 272, 815, 5286, 20179, 20120, 333, 10857, 9707, 272, 267, 4494, 273, 264, 910, 476, 272, 1477, 453, 453, 258, 30135, 689, 2034, 6456, 4494, 547, 3977, 4494, 1477, 453, 19677, 9884, 273, 815, 5286, 20179, 20120, 333, 10857, 9707, 273, 267, 562, 318, 16059, 338, 264, 910, 476, 272, 5897, 22592, 3049, 3453, 4311, 267, 311, 8029, 453, 453, 258, 27879, 3403, 998, 938, 3060, 543, 3489, 606, 3977, 543, 2132, 621, 18651, 519, 1599, 955, 1477, 453, 453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 24762, 676, 918, 2096, 692, 13707, 1948, 24762, 281, 476, 1724, 692, 4621, 10179, 2979, 454, 8340, 519, 4320, 540, 519, 1739, 4396, 4137, 269, 2422, 815, 476, 274, 269, 1691, 269, 966, 815, 476, 275, 270, 274, 337, 274, 269, 589, 12106, 814, 513, 8953, 540, 476, 276, 269, 278, 6279, 780, 298, 1803, 1568, 476, 2412, 3108, 693, 513, 2557, 540, 8096, 1015, 269, 4037, 829, 5662, 269, 646, 814, 2698, 17429, 2388, 540, 8096, 9262, 269, 1839, 269, 1018, 568, 1010, 2121, 2628, 286, 589, 269, 15478, 31079, 269, 4037, 645, 269, 15478, 25396, 269, 876, 595, 269, 15478, 31404, 269, 4037, 667, 269, 15478, 3607, 273, 269, 1839, 692, 4118, 454, 22772, 519, 476, 277, 25066, 3252, 540, 16009, 11196, 274, 270, 279, 2567, 5609, 2999, 3331, 502, 692, 14396, 454, 322, 26276, 269, 898, 1281, 711, 23271, 538, 1216, 780, 31580, 476, 273, 454, 8794, 12307, 634, 2034, 5086, 540, 513, 6906, 568, 1614, 2053, 519, 1101, 543, 519, 3791, 568, 476, 1321, 5232, 1447, 602, 7466, 519, 1101, 269, 4855, 2338, 585, 7285, 269, 594, 798, 711, 1174, 875, 547, 4194, 713, 3830, 780, 13043, 454, 306, 1122, 906, 6252, 547, 519, 5011, 616, 1031, 547, 7941, 513, 4009, 4604, 476, 274, 10264, 593, 1142, 2427, 883, 476, 280, 3160, 20695, 4130, 10945, 269, 1403, 519, 4604, 568, 538, 513, 1377, 2990, 543, 513, 10286, 540, 7573, 3338, 593, 519, 4604, 693, 513, 4351, 1448, 267, 1018, 568, 519, 5506, 602, 621, 3338, 593, 513, 7944, 3296, 286, 476, 273, 270, 280, 476, 272, 270, 13718, 322, 13511, 454, 6011, 1082, 18253, 540, 10878, 266, 12274, 616, 538, 476, 275, 18253, 540, 10878, 274, 335, 26042, 322, 13511, 454, 6011, 1082, 18253, 540, 10878, 266, 12274, 616, 538, 476, 275, 18253, 540, 10878, 274, 335, 26042, 8234, 454, 2691, 9236, 646, 7116, 658, 1736, 543, 829, 32050, 531, 31533, 267, 621, 666, 581, 1767, 602, 589, 269, 646, 7116, 658, 1736, 3217, 3476, 982, 829, 32050, 531, 31533, 269, 645, 269, 829, 32050, 531, 31533, 3322, 519, 8851, 540, 1973, 689, 519, 3461, 269, 595, 269, 646, 7116, 658, 1736, 568, 513, 1900, 6251, 547, 519, 991, 585, 24328, 3379, 609, 13718, 613, 5852, 454, 320, 1318, 6906, 814, 7953, 540, 3259, 476, 274, 343, 543, 476, 275, 343, 543, 30494, 540, 3259, 476, 4037, 269, 1548, 616, 519, 13080, 540, 519, 7953, 540, 519, 6906, 780, 338, 1539, 1108, 454, 296, 723, 1175, 4607, 713, 2243, 585, 513, 3018, 476, 278, 7084, 585, 1250, 15257, 1362, 998, 678, 11047, 1380, 523, 2852, 267, 952, 713, 568, 519, 1482, 2852, 602, 3025, 3116, 4682, 547, 1287, 891, 5049, 991, 547, 581, 8242, 2439, 22437, 4479, 454, 7069, 4116, 4280, 803, 547, 2328, 513, 5929, 6648, 269, 1548, 568, 513, 804, 1087, 545, 6648, 2496, 13043, 454, 1240, 343, 317, 273, 268, 1839, 343, 268, 1015, 5258, 676, 476, 280, 343, 266, 272, 898, 781, 1279, 6498, 540, 21335, 0, 258, 11635, 5860, 692, 24280, 519, 2597, 540, 513, 476, 273, 544, 1279, 7841, 10612, 609, 606, 4835, 8006, 540, 476, 1015, 4699, 543, 513, 3774, 11098, 540, 476, 274, 6515, 269, 634, 4401, 5860, 568, 533, 815, 476, 278, 269, 279, 575, 30763, 274, 780, 28557, 1267, 1384, 332, 815, 476, 1109, 1428, 269, 16960, 278, 4846, 692, 2971, 8827, 1384, 2171, 1131, 581, 20938, 952, 596, 1265, 606, 5470, 538, 519, 2262, 1966, 267, 10259, 9073, 267, 610, 538, 3147, 340, 20874, 543, 6494, 621, 547, 721, 269, 11289, 596, 2439, 19522, 547, 1644, 2228, 26732, 454, 2710, 596, 1616, 547, 6460, 3259, 4559, 888, 2710, 596, 917, 519, 4320, 543, 1770, 4320, 267, 543, 1616, 547, 6460, 4320, 4559, 888, 31738, 281, 3776, 25670, 4559, 20303, 786, 948, 596, 609, 519, 7503, 540, 5860, 4559, 563, 2710, 596, 1616, 547, 6460, 2527, 4559, 2496, 2971, 1411, 991, 547, 917, 519, 1739, 1702, 547, 4194, 713, 2262, 2979, 1966, 1384, 2171, 5000, 596, 547, 4585, 713, 5850, 3381, 593, 713, 2979, 1966, 1384, 1012, 8921, 2147, 2979, 2042, 1384, 1892, 21311, 10612, 454, 24280, 519, 5068, 10612, 781, 2597, 609, 8006, 546, 815, 476, 3583, 6515, 543, 3259, 476, 23884, 4699, 952, 519, 3774, 11098, 568, 476, 275, 6515, 543, 519, 5860, 540, 5068, 568, 476, 15793, 278, 4846, 8276, 274, 563, 1892, 634, 4187, 454, 1432, 568, 519, 4187, 540, 606, 11956, 5911, 476, 271, 269, 273, 5998, 1279, 543, 476, 1015, 6515, 538, 8006, 888, 1892, 21019, 19923, 5911, 454, 290, 32111, 5911, 609, 513, 8006, 540, 476, 272, 6515, 543, 513, 2597, 540, 476, 12573, 575, 568, 10138, 593, 513, 838, 944, 269, 12433, 922, 3259, 952, 519, 7601, 5860, 568, 533, 815, 476, 279, 269, 280, 575, 30763, 12945, 563, 1892, 5696, 817, 12106, 454, 8340, 519, 2597, 540, 513, 21567, 3440, 609, 606, 9018, 8953, 540, 476, 1321, 4699, 267, 513, 3774, 11098, 540, 476, 736, 6515, 952, 519, 5860, 540, 519, 21567, 568, 476, 279, 269, 276, 575, 30763, 274, 563, 1892, 21019, 5911, 454, 1432, 568, 519, 2597, 540, 476, 1911, 271, 544, 7601, 5911, 609, 513, 8006, 540, 476, 276, 6515, 950, 11973, 5860, 533, 815, 476, 279, 269, 279, 575, 30763, 274, 888, 1892, 29274, 454, 24280, 519, 16977, 2597, 540, 519, 4154, 21396, 30407, 267, 952, 922, 8006, 568, 476, 279, 4699, 543, 513, 11098, 476, 277, 6515, 269, 634, 5860, 540, 4154, 1265, 856, 538, 519, 7515, 610, 593, 519, 5769, 563, 1892, 4591, 869, 12106, 454, 24280, 519, 2597, 540, 513, 17860, 588, 385, 503, 6403, 1962, 333, 2946, 12106, 630, 323, 3748, 476, 1015, 269, 276, 575, 30763, 274, 264, 952, 519, 642, 27848, 385, 503, 333, 6403, 8006, 568, 476, 1428, 4699, 543, 3774, 11098, 568, 476, 272, 6515, 563, 1892, 19923, 5911, 454, 290, 32111, 5911, 814, 513, 3259, 561, 815, 476, 279, 736, 544, 543, 8006, 546, 815, 476, 1015, 6515, 269, 12433, 519, 2597, 952, 5860, 540, 7601, 568, 6543, 479, 815, 476, 25616, 271, 4846, 8276, 274, 269, 28088, 5180, 547, 835, 8918, 1747, 563, 1892, 1975, 1877, 13735, 454, 12663, 10581, 513, 17860, 4401, 3440, 609, 606, 9018, 8006, 546, 272, 815, 476, 736, 9492, 543, 606, 3330, 8006, 546, 273, 815, 476, 866, 9492, 538, 519, 1216, 286, 634, 4401, 5860, 568, 476, 278, 269, 279, 575, 30763, 476, 274, 269, 630, 9743, 15297, 281, 12433, 519, 3328, 12106, 5860, 543, 5635, 609, 519, 5860, 540, 519, 1216, 269, 12467, 1892, 1325, 26891, 5911, 454, 2704, 26891, 5911, 540, 476, 274, 6515, 8006, 814, 513, 2698, 2597, 540, 476, 5002, 280, 4846, 543, 513, 5860, 540, 476, 17734, 271, 4846, 8276, 274, 269, 1215, 1279, 568, 519, 5911, 22753, 888, 1892, 634, 7601, 5911, 454, 763, 7601, 5911, 22753, 609, 513, 8006, 540, 476, 273, 269, 279, 7825, 814, 513, 2597, 540, 476, 276, 11899, 269, 1215, 1082, 7397, 540, 5911, 568, 15985, 1194, 952, 476, 272, 332, 274, 540, 7601, 22179, 476, 8660, 274, 271, 11899, 888, 1892, 476, 274, 323, 17002, 454, 274, 291, 8228, 589, 7034, 27129, 609, 8006, 476, 272, 269, 4037, 6515, 814, 5860, 476, 272, 269, 6860, 575, 30763, 274, 269, 4855, 519, 3259, 540, 544, 815, 476, 276, 4846, 838, 944, 27129, 269, 630, 6011, 547, 5173, 3259, 994, 1892, 11635, 3440, 454, 763, 4401, 3440, 814, 513, 2597, 540, 476, 1911, 13532, 269, 12433, 519, 4320, 267, 8953, 267, 543, 2627, 952, 519, 4401, 781, 5860, 568, 554, 815, 476, 278, 269, 277, 326, 30763, 274, 563, 1892, 634, 4837, 454, 272, 544, 274, 540, 4837, 22179, 476, 18605, 271, 4846, 269, 12433, 519, 2597, 540, 519, 4837, 1350, 5074, 8470, 609, 7516, 540, 476, 273, 269, 276, 544, 543, 476, 274, 269, 279, 544, 952, 519, 11098, 540, 519, 4837, 568, 476, 271, 269, 279, 4699, 454, 1892, 21019, 6676, 454, 24280, 519, 11098, 540, 519, 7601, 6676, 609, 513, 5860, 476, 279, 269, 278, 575, 30763, 23326, 7893, 476, 272, 269, 276, 7397, 543, 476, 3199, 4699, 543, 922, 2597, 568, 476, 274, 269, 4792, 4846, 454, 1892, 5131, 10045, 454, 763, 29606, 814, 519, 3337, 540, 513, 7750, 1355, 609, 4835, 7516, 540, 476, 1321, 4699, 267, 476, 1015, 4699, 267, 476, 1789, 4699, 269, 589, 4494, 540, 4672, 540, 476, 2537, 6515, 5394, 729, 4646, 593, 519, 6418, 6821, 630, 663, 593, 519, 6679, 264, 540, 519, 29606, 269, 1215, 1082, 20990, 540, 1216, 786, 8963, 952, 649, 26565, 519, 29606, 888, 1892, 13379, 540, 2011, 454, 1432, 568, 519, 2597, 540, 2011, 538, 519, 2713, 4055, 7893, 8700, 476, 1015, 544, 3259, 476, 274, 544, 543, 4463, 476, 274, 269, 274, 544, 286, 5794, 5860, 568, 6543, 479, 815, 476, 272, 269, 273, 4846, 8276, 274, 269, 0, 9223, 7433, 281, 7177, 14301, 2433, 7726, 7433, 2904, 476, 1001, 276, 910, 3689, 5729, 7177, 630, 306, 655, 6856, 476, 273, 264, 1923, 29180, 2160, 630, 300, 308, 994, 271, 692, 25811, 1359, 14301, 910, 2904, 476, 1001, 276, 692, 5575, 5729, 7177, 630, 306, 655, 6856, 476, 273, 2020, 307, 5588, 3201, 27107, 16775, 281, 476, 3199, 454, 307, 5588, 3201, 29376, 292, 281, 476, 274, 670, 5495, 11965, 454, 263, 272, 264, 7726, 476, 272, 568, 25471, 563, 263, 273, 264, 28055, 1022, 1614, 689, 519, 6967, 2055, 563, 263, 274, 264, 27539, 1239, 952, 2838, 563, 263, 275, 264, 22955, 547, 519, 1318, 5815, 2407, 7436, 563, 272, 630, 320, 264, 589, 5858, 540, 476, 2568, 7825, 8006, 20061, 593, 513, 2786, 1899, 1510, 1793, 6235, 269, 8571, 519, 30580, 540, 513, 1448, 1412, 303, 262, 585, 2347, 4838, 540, 519, 5858, 269, 634, 1448, 1412, 303, 262, 568, 476, 4343, 7825, 1657, 519, 2786, 1899, 543, 2509, 519, 1318, 540, 7299, 4099, 1899, 540, 519, 5858, 14370, 277, 7436, 264, 476, 272, 630, 321, 264, 7612, 476, 272, 2982, 3182, 3645, 2070, 540, 606, 1843, 269, 8571, 1775, 264, 13571, 2070, 13797, 264, 5440, 2070, 25831, 264, 17435, 3290, 519, 2070, 630, 280, 7436, 264, 476, 273, 589, 20008, 21192, 24388, 540, 476, 2764, 7825, 267, 6316, 540, 3490, 543, 476, 2568, 6515, 3259, 540, 7852, 814, 513, 476, 2764, 7825, 267, 6316, 593, 519, 670, 10422, 269, 634, 7852, 538, 20916, 693, 476, 3374, 4113, 547, 670, 10422, 269, 543, 476, 3393, 4113, 547, 966, 10422, 269, 8571, 519, 20327, 15301, 1428, 7436, 264, 476, 274, 7612, 476, 273, 2982, 3182, 3645, 2070, 540, 606, 1843, 269, 8571, 1775, 264, 8791, 531, 13571, 7348, 2059, 589, 5025, 269, 13797, 264, 8791, 531, 19382, 1688, 2427, 2070, 2059, 645, 5174, 269, 25831, 264, 5440, 7348, 17488, 264, 17435, 3290, 519, 5784, 630, 1415, 2185, 264, 630, 1428, 7436, 264, 476, 275, 630, 320, 264, 634, 3845, 1063, 519, 1439, 1788, 832, 540, 513, 1899, 9474, 568, 476, 2568, 7825, 269, 634, 1439, 589, 568, 476, 1839, 7825, 1657, 670, 10422, 269, 543, 476, 3393, 7825, 538, 4395, 540, 966, 10422, 1421, 1247, 519, 824, 1439, 645, 568, 476, 2568, 7825, 1657, 670, 10422, 269, 543, 476, 1428, 7825, 538, 4395, 966, 10422, 269, 8571, 20327, 543, 1265, 519, 3020, 3259, 543, 849, 31007, 540, 519, 1899, 609, 670, 10422, 269, 543, 966, 10422, 15301, 280, 7436, 264, 476, 275, 630, 321, 264, 7612, 476, 274, 2982, 1079, 5784, 540, 606, 1843, 269, 8571, 568, 6248, 2070, 540, 519, 1843, 269, 630, 277, 7436, 264, 476, 276, 589, 4009, 18158, 540, 3490, 2427, 476, 1839, 7825, 543, 15820, 476, 2004, 7825, 26520, 593, 922, 3490, 593, 519, 24605, 609, 1079, 5011, 540, 519, 3490, 6252, 547, 966, 303, 269, 898, 568, 2759, 676, 513, 7077, 20312, 624, 532, 519, 7852, 543, 20916, 693, 476, 1789, 4113, 547, 519, 3490, 269, 8571, 4395, 2070, 267, 3296, 531, 1283, 2070, 543, 3020, 3337, 540, 519, 3296, 269, 4746, 2721, 519, 1646, 540, 519, 2539, 851, 540, 519, 18158, 15301, 1428, 7436, 264, 476, 277, 630, 320, 264, 589, 12718, 609, 476, 2004, 7825, 8006, 540, 922, 3490, 543, 7852, 7893, 476, 3583, 7825, 814, 922, 7852, 568, 20916, 547, 476, 1789, 4113, 547, 966, 303, 269, 8571, 519, 20327, 540, 519, 12718, 950, 519, 4396, 568, 16889, 593, 835, 540, 519, 2798, 540, 519, 18592, 540, 519, 3490, 593, 966, 303, 15301, 277, 7436, 264, 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 ]
[ 782, 540, 519, 2713, 269, 10507, 879, 1797, 968, 327, 8543, 892, 1317, 540, 875, 4552, 344, 10507, 879, 729, 693, 4332, 269, 630, 7049, 8412, 476, 1839, 281, 1839, 1040, 634, 2034, 540, 519, 18618, 14930, 729, 4535, 30230, 4771, 693, 10507, 879, 779, 24933, 543, 729, 267, 3976, 267, 3957, 15243, 267, 799, 1797, 968, 7474, 5486, 1218, 892, 630, 7049, 8412, 476, 1839, 281, 2918, 1040, 1284, 849, 1294, 538, 23075, 602, 2696, 4957, 1004, 779, 4408, 10834, 602, 741, 1915, 814, 1044, 4957, 676, 606, 957, 540, 2696, 779, 11419, 269, 2806, 1090, 779, 2012, 729, 4957, 547, 14062, 630, 7049, 8412, 476, 1704, 281, 276, 1070, 15243, 2968, 5840, 630, 7049, 8412, 476, 3953, 281, 2764, 1070, 590, 4954, 2968, 6754, 630, 8002, 338, 476, 1724, 281, 280, 1916, 2026, 649, 2015, 945, 4906, 568, 267, 621, 779, 1271, 547, 5431, 602, 972, 568, 1390, 4644, 538, 3571, 2012, 269, 15623, 10741, 519, 6885, 585, 721, 547, 1294, 713, 538, 7041, 585, 3571, 4332, 607, 606, 21425, 540, 519, 7083, 7902, 547, 9478, 267, 10213, 1864, 1018, 1131, 581, 3020, 540, 4906, 685, 17748, 543, 4332, 267, 607, 1134, 607, 1018, 3571, 2012, 1131, 581, 269, 3767, 267, 938, 3007, 1058, 581, 6537, 547, 1079, 1919, 281, 476, 272, 264, 4906, 685, 2012, 729, 2016, 676, 2696, 267, 711, 4956, 676, 9478, 543, 6307, 267, 543, 476, 273, 264, 3571, 2012, 814, 18532, 267, 2699, 3319, 633, 4644, 269, 3571, 2012, 4898, 2685, 2798, 721, 547, 4906, 1373, 938, 2405, 328, 1807, 267, 938, 14205, 1640, 267, 519, 1651, 7568, 622, 267, 18163, 12312, 540, 2696, 269, 968, 27716, 892, 12462, 296, 525, 748, 892, 538, 5259, 264, 568, 519, 6037, 3438, 730, 1106, 540, 519, 12355, 2165, 968, 312, 12317, 9655, 7699, 5608, 799, 1797, 968, 312, 1695, 933, 327, 17990, 6100, 25392, 15623, 476, 272, 281, 2641, 267, 938, 524, 622, 577, 1143, 1318, 569, 11414, 713, 5168, 538, 31689, 700, 24147, 595, 622, 577, 1143, 1627, 269, 476, 6078, 912, 304, 269, 476, 6078, 269, 4208, 729, 938, 18657, 1807, 1572, 4906, 888, 288, 269, 3776, 18657, 1807, 729, 1572, 4906, 267, 1317, 646, 4688, 628, 1010, 1004, 689, 741, 21359, 563, 10702, 267, 4906, 568, 849, 519, 2441, 269, 968, 13731, 892, 12462, 13731, 657, 892, 538, 5259, 264, 5265, 1797, 968, 1492, 1323, 31212, 2290, 6100, 4906, 568, 519, 10143, 31050, 269, 31689, 700, 24147, 595, 622, 577, 1143, 267, 1627, 269, 476, 5655, 267, 21040, 543, 13976, 938, 1702, 543, 1620, 540, 1946, 4906, 12217, 519, 2012, 968, 13731, 892, 912, 304, 269, 476, 5655, 269, 4208, 729, 938, 18657, 1807, 1572, 2441, 888, 288, 269, 3776, 18657, 1807, 729, 1572, 2441, 267, 1317, 646, 729, 606, 31212, 609, 519, 10513, 26415, 1657, 2268, 282, 543, 865, 1305, 6306, 267, 543, 4628, 7677, 1639, 609, 782, 6392, 543, 2702, 267, 547, 14892, 519, 13646, 540, 22445, 267, 17308, 267, 543, 4622, 540, 1010, 5939, 267, 538, 519, 10040, 1312, 540, 1010, 1208, 559, 2747, 543, 608, 5306, 566, 563, 3383, 267, 1018, 779, 538, 513, 2012, 286, 589, 2603, 568, 538, 513, 2012, 1107, 2495, 267, 2219, 267, 3483, 269, 22682, 267, 972, 616, 1082, 824, 4408, 540, 938, 7083, 4906, 267, 7000, 547, 721, 538, 519, 6426, 267, 602, 3717, 547, 1271, 1919, 602, 616, 3020, 540, 13924, 269, 3571, 2012, 568, 968, 310, 16093, 995, 267, 21835, 528, 267, 631, 26663, 2696, 267, 17451, 331, 8463, 12429, 267, 13584, 540, 13458, 892, 630, 3674, 320, 11672, 476, 280, 281, 277, 1040, 1306, 596, 1589, 827, 707, 14205, 1640, 2221, 543, 538, 519, 2395, 6619, 267, 2015, 7192, 3306, 519, 2495, 540, 3571, 2012, 538, 1018, 621, 3081, 827, 3571, 1268, 543, 960, 538, 707, 20778, 269, 4906, 568, 782, 543, 1705, 782, 602, 1261, 729, 16219, 547, 581, 543, 798, 267, 568, 3257, 267, 543, 786, 798, 269, 2549, 523, 256, 6333, 7192, 3306, 2221, 875, 2441, 779, 2012, 14753, 547, 3571, 11056, 540, 519, 13646, 540, 22445, 267, 17308, 267, 543, 4622, 269, 7083, 8348, 267, 649, 786, 1353, 713, 11056, 538, 519, 4947, 4374, 269, 2904, 4906, 2441, 581, 26916, 2336, 2108, 11997, 2696, 849, 814, 3810, 608, 531, 1540, 13924, 543, 2016, 13924, 519, 2012, 799, 568, 1657, 1169, 2012, 267, 602, 693, 519, 2012, 540, 4906, 1169, 12597, 1058, 6367, 267, 540, 1346, 538, 13140, 267, 543, 540, 1346, 593, 3618, 267, 543, 540, 1346, 896, 519, 3618, 267, 543, 602, 1169, 11469, 1058, 21334, 602, 4906, 2441, 568, 7083, 267, 547, 519, 18710, 540, 2696, 519, 12429, 1848, 10218, 2103, 476, 273, 281, 280, 268, 1556, 0, 13349, 2012, 8187, 12275, 997, 24250, 4461, 976, 454, 31142, 2012, 281, 2353, 1756, 772, 3464, 25177, 454, 27288, 12275, 997, 12700, 454, 27288, 13342, 568, 4440, 835, 540, 519, 1034, 2442, 3552, 17580, 2371, 547, 28532, 538, 5614, 269, 8187, 13342, 568, 849, 1634, 607, 3552, 682, 4060, 267, 3574, 682, 4060, 267, 7703, 682, 4060, 267, 986, 916, 976, 267, 610, 15155, 1186, 269, 8187, 13342, 568, 25992, 676, 922, 3039, 27490, 11057, 3762, 543, 4190, 267, 3043, 5182, 11057, 5810, 3395, 538, 13421, 269, 1411, 666, 28532, 585, 3552, 13342, 3762, 538, 3345, 3013, 543, 8832, 2342, 689, 1472, 5988, 5336, 599, 267, 4584, 519, 5810, 689, 2904, 11219, 2317, 543, 2007, 909, 519, 15620, 689, 4873, 268, 20103, 269, 1809, 621, 782, 5673, 593, 1141, 596, 2661, 563, 763, 3552, 13342, 5810, 616, 3043, 543, 616, 9985, 17580, 849, 950, 789, 616, 1869, 19512, 269, 8187, 13342, 568, 1360, 12362, 267, 543, 596, 786, 1419, 1265, 873, 3395, 607, 513, 1804, 24095, 2429, 519, 4104, 6989, 269, 634, 2030, 568, 1063, 476, 1428, 543, 476, 3393, 17744, 7381, 269, 1411, 786, 2523, 5469, 519, 2178, 9329, 540, 13342, 950, 596, 3802, 676, 873, 269, 8187, 13342, 568, 711, 1152, 17705, 855, 849, 814, 513, 2603, 540, 1072, 2640, 912, 268, 8187, 13342, 3568, 6171, 589, 267, 595, 267, 7513, 267, 4401, 267, 16903, 267, 9770, 267, 543, 7601, 269, 634, 2179, 540, 6171, 595, 568, 476, 736, 2053, 519, 2179, 540, 6171, 595, 538, 19790, 976, 2336, 268, 8187, 13342, 24506, 1973, 2604, 454, 268, 8187, 13342, 814, 27611, 543, 15084, 3601, 454, 27288, 12275, 997, 22384, 543, 25792, 16700, 1211, 2305, 454, 2691, 596, 723, 606, 2856, 540, 875, 3552, 13342, 1058, 1413, 899, 267, 519, 1655, 1259, 547, 2697, 621, 7157, 568, 676, 1159, 2454, 621, 269, 6496, 621, 9329, 899, 13342, 270, 517, 542, 950, 596, 6299, 621, 1063, 707, 11263, 286, 1107, 3973, 596, 723, 7157, 4857, 3552, 13342, 269, 1403, 596, 1294, 513, 2030, 267, 602, 5654, 899, 3552, 13342, 855, 6763, 4805, 267, 621, 1223, 581, 602, 596, 723, 1336, 519, 20715, 2030, 1572, 15039, 540, 519, 9503, 3079, 269, 1411, 666, 4061, 3765, 1211, 1518, 3552, 13342, 609, 561, 1176, 540, 519, 14860, 799, 568, 1360, 20715, 538, 782, 2694, 540, 519, 2030, 269, 15039, 540, 519, 14860, 1281, 711, 9329, 540, 13342, 267, 865, 602, 568, 1945, 596, 1058, 581, 3222, 540, 563, 2690, 1645, 8187, 12275, 997, 27817, 454, 4263, 519, 4098, 540, 4728, 267, 594, 2356, 1376, 3168, 585, 3552, 13342, 3762, 269, 634, 3762, 616, 865, 2407, 540, 8137, 267, 602, 621, 568, 2614, 547, 1175, 28532, 519, 3762, 269, 1280, 1645, 3552, 13342, 3762, 568, 849, 519, 1034, 1455, 1259, 540, 1210, 519, 2030, 269, 1717, 267, 849, 519, 5810, 543, 15620, 616, 2731, 17705, 269, 1879, 25061, 585, 3552, 13342, 3762, 267, 1118, 2386, 547, 4584, 519, 7820, 3762, 18284, 269, 1358, 723, 1454, 811, 8137, 982, 519, 4587, 3762, 269, 20780, 513, 11127, 610, 5068, 9126, 547, 4558, 519, 3762, 1354, 8744, 873, 1753, 563, 27288, 12275, 997, 10089, 321, 454, 763, 3552, 13342, 15941, 666, 581, 1031, 538, 519, 1482, 1259, 607, 596, 1131, 946, 513, 13342, 804, 913, 269, 1403, 596, 2661, 538, 606, 1858, 609, 513, 17077, 2179, 540, 3552, 13342, 267, 581, 2386, 547, 1152, 4584, 519, 3762, 543, 711, 519, 15620, 269, 19227, 267, 596, 786, 4894, 519, 2030, 267, 543, 972, 786, 4166, 581, 4986, 2451, 585, 519, 2104, 269, 1411, 666, 3079, 13003, 873, 883, 707, 1378, 4677, 267, 610, 824, 4025, 547, 2844, 519, 3552, 13342, 585, 1082, 811, 1296, 547, 2097, 563, 8489, 547, 4855, 8187, 12275, 997, 454, 27288, 13342, 666, 581, 1336, 538, 3574, 539, 695, 8014, 6753, 543, 14927, 2666, 538, 28301, 7733, 269, 1879, 16276, 3552, 13342, 543, 824, 3552, 3536, 538, 2489, 267, 581, 2386, 547, 1205, 10479, 689, 519, 8227, 540, 519, 2244, 610, 2638, 519, 3652, 540, 519, 4104, 602, 596, 616, 25061, 538, 269, 3367, 811, 827, 2489, 25061, 4808, 1934, 563, 27288, 12275, 997, 570, 4292, 267, 21964, 543, 31204, 609, 8187, 12275, 997, 454, 27288, 13342, 666, 581, 13881, 1175, 607, 621, 568, 281, 5637, 519, 5810, 267, 3762, 267, 543, 15620, 666, 581, 13881, 6151, 269, 3807, 2503, 513, 1360, 3532, 6492, 950, 13881, 6151, 269, 8187, 13342, 16919, 540, 13342, 543, 22323, 267, 855, 814, 513, 3787, 811, 6653, 543, 1447, 2178, 6492, 982, 13342, 269, 8187, 13342, 666, 581, 1031, 607, 513, 10682, 585, 13342, 610, 22323, 538, 1114, 8286, 267, 621, 666, 581, 1031, 6151, 538, 25235, 610, 20057, 1194, 593, 8286, 269, 594, 723, 2919, 1896, 1114, 10346, 1210, 3552, 13342, 912, 27288, 12275, 997, 7256, 17865, 568, 513, 1390, 1259, 547, 8190, 3552, 13342, 2429, 519, 1032, 269, 898, 568, 2653, 547, 1118, 267, 543, 596, 666, 4558, 621, 585, 693, 2547, 513, 1032, 269, 3502, 1152, 1281, 621, 1413, 10875, 609, 922, 3039, 2681, 267, 621, 849, 16919, 2706, 10347, 543, 666, 23666, 707, 2828, 543, 1920, 563, 27288, 13342, 7423, 568, 606, 2653, 1259, 540, 1210, 930, 540, 519, 28448, 585, 3042, 3552, 13342, 3762, 538, 5614, 269, 8187, 13342, 7423, 568, 5393, 8949, 543, 666, 581, 1031, 593, 3694, 267, 538, 11792, 1117, 12277, 267, 538, 27130, 267, 1989, 2683, 5388, 267, 610, 538, 1022, 824, 8670, 267, 596, 1131, 7363, 946, 7423, 538, 630, 21955, 538, 6653, 8286, 540, 1576, 1040, 1411, 666, 849, 4688, 3552, 13342, 7423, 538, 519, 29606, 267, 543, 946, 621, 693, 513, 2663, 942, 563, 288, 2603, 540, 1004, 1118, 17339, 1210, 3552, 13342, 543, 2121, 14782, 267, 855, 594, 4941, 547, 2119, 513, 811, 11423, 17339, 269, 594, 2648, 15837, 543, 682, 2131, 17339, 267, 865, 594, 2219, 621, 1131, 581, 1187, 547, 2119, 547, 1039, 930, 3552, 13342, 269, 1656, 1018, 513, 9983, 256, 898, 568, 519, 1034, 5863, 6364, 1107, 865, 27598, 267, 865, 2407, 540, 8137, 267, 865, 8949, 2336, 2791, 666, 1406, 11716, 519, 5929, 1259, 540, 1210, 3552, 13342, 3762, 281, 3552, 13342, 11641, 334, 269, 25882, 10808, 267, 3552, 13342, 3762, 267, 533, 1301, 525, 534, 10381, 267, 14462, 3282, 267, 11993, 10433, 267, 543, 4262, 6070, 1118, 519, 3501, 2036, 334, 563, 1607, 3552, 13342, 3046, 13069, 826, 2261, 514, 1228, 5161, 540, 3552, 13342, 3762, 267, 14462, 3282, 267, 11922, 267, 31625, 267, 11993, 10433, 267, 543, 6070, 543, 14723, 269, 898, 568, 3501, 607, 513, 2261, 514, 1228, 585, 5779, 267, 9269, 267, 5388, 267, 610, 3165, 2901, 11273, 538, 519, 14089, 610, 1989, 2683, 593, 519, 3046, 13069, 826, 269, 1411, 666, 2261, 3729, 519, 5779, 519, 3781, 1354, 596, 991, 621, 865, 602, 621, 666, 2731, 10110, 519, 10366, 689, 519, 3552, 13342, 2261, 514, 1228, 563, 1692, 547, 15188, 8187, 12275, 997, 454, 2791, 666, 4558, 707, 585, 3042, 3552, 13342, 538, 513, 5068, 8708, 610, 5068, 9126, 267, 609, 513, 2370, 3787, 540, 1216, 538, 519, 21067, 585, 827, 476, 276, 268, 278, 2395, 563, 1692, 547, 5131, 2763, 8187, 12275, 997, 454, 2791, 666, 19068, 3552, 13342, 676, 14299, 4771, 873, 29656, 543, 19068, 538, 513, 5068, 9126, 610, 5068, 8708, 269, 1684, 711, 1025, 21123, 519, 3552, 13342, 1354, 16171, 563, 296, 4126, 596, 1336, 713, 3552, 13342, 1344, 3730, 267, 543, 594, 10950, 782, 10372, 538, 519, 8292, 2630, 563, 26170, 17237, 585, 811, 3552, 13342, 1344, 286, 6744, 856, 1250, 17749, 968, 301, 867, 545, 318, 10809, 25988, 338, 5608, 1141, 594, 2671, 4388, 543, 15361, 827, 3552, 13342, 3762, 543, 824, 3552, 3536, 538, 2489, 256, 0, 20228, 8576, 1014, 4004, 1235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 631, 9818, 729, 519, 2063, 5230, 7382, 547, 581, 1031, 676, 519, 2475, 4108, 607, 519, 1523, 540, 519, 6301, 11135, 26653, 7960, 267, 1818, 5230, 13688, 28572, 563, 13126, 281, 631, 9818, 593, 26264, 454, 23277, 9818, 288, 273, 12532, 15907, 2008, 347, 26222, 5314, 1475, 300, 26090, 27990, 5303, 7690, 2008, 2791, 666, 1294, 849, 10778, 21366, 2433, 476, 15793, 279, 454, 268, 16044, 486, 4138, 23485, 20265, 10780, 19757, 9686, 21268, 21833, 4138, 27593, 19628, 27569, 3264, 15671, 3378, 17095, 17201, 27799, 3522, 476, 25000, 4709, 18547, 20413, 9818, 0, 303, 9438, 539, 12186, 540, 519, 22014, 1877, 593, 5695, 321, 710, 6874, 4286, 589, 7878, 1621, 1149, 476, 30420, 26839, 454, 288, 29898, 540, 519, 5106, 540, 8484, 3154, 17081, 1379, 17852, 896, 1585, 11626, 2175, 2982, 602, 3466, 538, 2773, 786, 711, 2141, 581, 2147, 547, 519, 3466, 7074, 609, 25262, 908, 9817, 563, 11947, 11195, 786, 723, 513, 30050, 1198, 593, 2773, 267, 855, 28041, 1216, 786, 8850, 2333, 1379, 538, 513, 17081, 2599, 14931, 676, 3432, 543, 13674, 27529, 8060, 1510, 513, 1379, 29438, 2787, 3926, 563, 288, 1962, 5297, 267, 2144, 657, 633, 267, 610, 8764, 908, 2339, 538, 519, 2011, 6908, 949, 1689, 16405, 32725, 543, 2312, 1734, 267, 13302, 26468, 4398, 267, 2599, 1379, 267, 19876, 267, 543, 2949, 4398, 563, 15703, 24880, 15178, 3021, 2209, 799, 1058, 581, 3730, 538, 9427, 4914, 1570, 267, 2523, 7509, 267, 689, 519, 2011, 6908, 616, 4330, 269, 0, 19400, 519, 3381, 267, 968, 763, 9406, 547, 2817, 640, 281, 6468, 543, 5753, 267, 1934, 454, 763, 21987, 540, 2622, 2782, 4083, 543, 519, 11028, 14808, 4851, 540, 4182, 2829, 2813, 513, 10006, 540, 2493, 6804, 5095, 267, 799, 3366, 519, 1951, 1123, 338, 540, 519, 476, 3707, 279, 17629, 16672, 540, 5274, 7126, 547, 1331, 9137, 476, 1428, 267, 799, 2829, 602, 968, 22336, 821, 814, 519, 1318, 547, 513, 22874, 892, 543, 1058, 711, 581, 27226, 11737, 337, 3320, 540, 1010, 610, 1200, 22874, 269, 6465, 6804, 1145, 6818, 538, 1169, 3148, 540, 519, 1158, 267, 855, 3788, 513, 7361, 968, 327, 5200, 892, 1966, 1510, 2229, 6284, 563, 1432, 1281, 621, 1611, 547, 581, 2493, 6804, 888, 288, 2493, 6804, 1268, 568, 2576, 945, 267, 896, 3084, 4031, 267, 1281, 711, 2972, 15114, 1107, 519, 3656, 6125, 1063, 513, 2229, 543, 606, 1367, 1107, 538, 1022, 2197, 269, 2755, 930, 1004, 616, 632, 795, 675, 610, 16155, 2493, 6804, 7606, 630, 26074, 789, 616, 711, 6444, 607, 4961, 896, 519, 4031, 540, 1022, 1533, 1070, 1082, 1004, 616, 632, 1249, 334, 610, 3927, 2493, 6804, 7606, 630, 26074, 789, 616, 711, 6444, 607, 4961, 676, 1022, 1533, 1256, 952, 789, 723, 513, 3409, 547, 15114, 896, 519, 4031, 540, 835, 540, 811, 2829, 8094, 1692, 1082, 2493, 6804, 1004, 616, 972, 2429, 519, 1158, 888, 4263, 519, 1439, 540, 476, 1001, 272, 267, 519, 6167, 4400, 30934, 585, 25083, 525, 630, 1492, 8116, 32486, 547, 2061, 543, 2569, 2493, 6804, 1145, 264, 18886, 936, 476, 274, 269, 276, 2929, 2493, 6804, 7606, 538, 476, 5038, 2477, 267, 855, 6059, 602, 519, 4890, 1297, 540, 2493, 6804, 7606, 5001, 949, 581, 607, 1164, 607, 476, 1321, 2929, 563, 1432, 616, 519, 3123, 540, 2493, 6804, 1145, 888, 763, 1739, 616, 930, 1455, 3123, 540, 2493, 6804, 1145, 912, 1892, 23299, 540, 10506, 543, 824, 4025, 540, 4332, 547, 11578, 29507, 5265, 454, 1892, 19768, 540, 2883, 2702, 547, 3382, 519, 1942, 540, 14261, 543, 4332, 22783, 454, 1892, 31654, 1682, 543, 2757, 8456, 827, 4332, 14261, 454, 1892, 17510, 547, 2493, 6804, 3237, 454, 1892, 11572, 1689, 543, 4483, 540, 8513, 267, 799, 949, 7369, 519, 22874, 4567, 540, 4961, 540, 519, 5449, 1533, 4433, 994, 1892, 8556, 13577, 16136, 2074, 267, 27564, 2042, 267, 7526, 540, 1876, 1063, 1079, 2477, 267, 610, 9552, 540, 4013, 5638, 454, 1892, 1325, 614, 566, 540, 22874, 1282, 7365, 610, 519, 27072, 540, 7365, 1063, 15185, 689, 1114, 2477, 454, 1892, 28080, 9643, 7130, 1996, 18441, 454, 1892, 16572, 28142, 11601, 540, 15114, 454, 1892, 16572, 28142, 519, 2924, 540, 2021, 547, 1780, 593, 741, 22874, 547, 741, 1453, 454, 1892, 16572, 11341, 547, 1453, 4535, 856, 540, 12311, 6674, 543, 1282, 18302, 454, 1892, 13809, 610, 882, 22055, 7321, 540, 22874, 1510, 1101, 16565, 1776, 454, 1432, 616, 519, 4539, 602, 2493, 6804, 1004, 7237, 888, 21413, 15114, 267, 2493, 6804, 1004, 723, 1100, 3656, 4027, 543, 1100, 1318, 547, 8917, 267, 543, 789, 1419, 3668, 1569, 547, 2069, 267, 7694, 267, 1072, 1416, 267, 14261, 540, 4332, 267, 7365, 610, 2669, 267, 543, 3959, 2924, 269, 6465, 6804, 1004, 949, 849, 7237, 2951, 9993, 267, 1514, 17181, 267, 543, 15398, 13438, 547, 4638, 543, 2168, 5208, 267, 14226, 267, 19338, 538, 7606, 267, 585, 24862, 12761, 267, 543, 824, 28407, 563, 1692, 666, 2493, 6804, 1145, 581, 15286, 610, 7339, 730, 888, 7659, 3646, 547, 2061, 543, 2569, 2493, 6804, 1145, 1331, 912, 268, 12861, 4656, 540, 2493, 6804, 1145, 543, 7114, 2493, 6804, 5095, 454, 268, 17629, 4332, 14261, 543, 824, 3029, 540, 3540, 12319, 454, 19102, 2084, 1569, 547, 2067, 1436, 610, 15114, 676, 912, 268, 26332, 3215, 7130, 538, 22874, 4031, 454, 268, 8490, 11889, 4390, 585, 3540, 1036, 3588, 454, 1432, 568, 519, 3557, 4972, 3257, 547, 948, 2493, 6804, 1004, 888, 763, 4972, 540, 3557, 2488, 19493, 6351, 543, 22851, 538, 23372, 547, 2061, 543, 8207, 2493, 6804, 1145, 269, 634, 2136, 2276, 568, 519, 2582, 4102, 20033, 547, 6167, 295, 10135, 267, 519, 8116, 32486, 547, 2149, 2493, 6804, 1004, 269, 634, 4972, 15156, 593, 15773, 540, 2493, 6804, 1004, 609, 4914, 6608, 543, 3540, 2486, 3906, 267, 543, 29377, 2361, 5464, 540, 519, 2175, 543, 2591, 602, 2493, 6804, 1004, 7237, 563, 763, 4972, 779, 14223, 3646, 616, 849, 14027, 519, 6468, 779, 2817, 640, 19541, 269, 4813, 518, 14199, 540, 3557, 10830, 776, 14339, 5069, 22735, 9250, 519, 11036, 693, 519, 6167, 295, 10135, 10579, 658, 2680, 538, 476, 1001, 272, 269, 901, 5571, 11036, 11394, 547, 8396, 7130, 538, 22874, 4031, 602, 10238, 527, 2021, 689, 23142, 15114, 547, 741, 1453, 610, 4914, 23947, 593, 606, 3160, 4493, 609, 2367, 543, 602, 1419, 2164, 538, 2493, 6804, 1145, 269, 898, 6663, 547, 1711, 4656, 540, 519, 1966, 540, 4008, 7130, 538, 22874, 4031, 543, 2493, 6804, 1145, 267, 543, 547, 22321, 5697, 6608, 547, 4735, 531, 543, 18985, 22874, 4031, 602, 5806, 3729, 1996, 2021, 269, 769, 1489, 540, 713, 11036, 267, 519, 2136, 2276, 1071, 17898, 29107, 513, 6571, 593, 519, 1318, 547, 513, 22874, 585, 2021, 543, 1453, 693, 519, 476, 736, 628, 29140, 540, 519, 6167, 5274, 7126, 7027, 538, 25611, 269, 634, 11036, 568, 849, 11368, 538, 519, 26321, 28358, 999, 26844, 547, 30771, 6468, 779, 11572, 543, 9483, 30880, 563, 6701, 972, 3486, 11650, 593, 2493, 6804, 1145, 888, 17220, 3656, 7405, 1644, 547, 2493, 6804, 1145, 1331, 912, 1892, 476, 3707, 279, 17629, 16672, 540, 5274, 7126, 267, 9137, 476, 1428, 454, 1892, 476, 4198, 275, 13482, 4039, 908, 547, 519, 21073, 540, 6465, 6804, 31080, 454, 1892, 476, 3422, 272, 13482, 593, 519, 22159, 540, 6465, 6804, 1145, 454, 1892, 476, 3422, 277, 4139, 595, 19879, 593, 6406, 543, 11572, 7126, 267, 9137, 476, 2190, 454, 1892, 476, 2735, 280, 13482, 593, 519, 7126, 540, 519, 4132, 267, 9137, 476, 278, 454, 1892, 476, 1960, 278, 3864, 13482, 593, 2817, 640, 454, 299, 3855, 543, 8249, 912, 1892, 11553, 300, 3816, 10225, 547, 519, 2622, 7027, 540, 932, 11699, 968, 17220, 13693, 566, 281, 27870, 606, 8278, 18210, 673, 31197, 593, 519, 7126, 540, 6465, 6804, 1004, 892, 476, 273, 270, 2764, 270, 1724, 1107, 263, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 1440, 332, 22812, 548, 1162, 22812, 12201, 270, 1001, 274, 270, 21709, 5038, 273, 21867, 994, 1892, 5517, 16847, 281, 968, 763, 26321, 28358, 999, 26844, 547, 30771, 6468, 779, 11572, 543, 9483, 26844, 892, 476, 280, 270, 2190, 270, 1321, 910, 630, 10059, 2517, 984, 600, 1177, 327, 924, 5264, 269, 1105, 1161, 10993, 270, 1492, 1790, 816, 11325, 823, 270, 1001, 273, 270, 6021, 270, 2190, 270, 2399, 1606, 18694, 268, 16029, 1922, 583, 999, 12268, 2996, 1222, 7721, 335, 663, 2914, 1580, 1606, 27791, 7146, 3887, 1595, 994, 1892, 4813, 518, 14199, 540, 3557, 10830, 776, 22735, 779, 24616, 22745, 519, 26321, 28358, 999, 26844, 476, 280, 270, 2190, 270, 1321, 1107, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 270, 572, 4038, 776, 270, 1220, 280, 736, 1724, 743, 15586, 270, 3944, 270, 1001, 273, 270, 6021, 270, 2735, 12893, 21867, 994, 1892, 11553, 300, 667, 760, 9616, 18248, 5403, 281, 968, 763, 9406, 547, 513, 2817, 640, 281, 6468, 543, 5753, 9232, 476, 278, 270, 1321, 270, 1321, 268, 630, 10674, 2517, 4565, 9233, 269, 8063, 10993, 27651, 21703, 4882, 924, 270, 18782, 270, 2431, 15461, 5332, 1049, 640, 994, 1892, 9012, 24793, 593, 519, 6571, 540, 968, 763, 9406, 547, 513, 2817, 640, 281, 6468, 543, 5753, 892, 476, 278, 270, 276, 270, 1321, 1107, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 29265, 9706, 320, 270, 1440, 338, 270, 1186, 270, 1001, 273, 270, 5881, 270, 3707, 277, 1428, 21867, 994, 1892, 2136, 2276, 6554, 779, 3948, 827, 968, 763, 9406, 547, 513, 2817, 640, 281, 6468, 543, 5753, 892, 476, 277, 270, 2918, 270, 1321, 1107, 630, 10674, 2517, 2102, 21416, 30994, 3939, 10993, 270, 1001, 273, 270, 6187, 270, 2918, 7933, 517, 1695, 4141, 2914, 558, 839, 16058, 23412, 270, 994, 1892, 5517, 16847, 281, 968, 18131, 779, 2817, 640, 19541, 892, 476, 274, 270, 279, 270, 1321, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 1440, 332, 22812, 548, 1162, 22812, 548, 1162, 270, 1001, 273, 270, 6977, 275, 1626, 21867, 994, 1892, 4813, 518, 7201, 14199, 744, 614, 334, 779, 24616, 593, 968, 29638, 543, 6406, 1014, 8232, 892, 693, 6723, 6115, 2160, 593, 4139, 6468, 779, 4303, 476, 274, 270, 279, 270, 1321, 268, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 6977, 276, 1556, 21867, 994, 1892, 11553, 300, 667, 760, 9616, 18248, 5403, 968, 18131, 543, 22893, 1222, 693, 5851, 543, 2806, 5802, 892, 476, 274, 270, 279, 270, 1321, 910, 630, 10674, 2517, 4565, 9233, 269, 8063, 10993, 27651, 21703, 4882, 924, 270, 18782, 11320, 1580, 318, 663, 6831, 527, 714, 839, 1222, 994, 1892, 4813, 518, 14199, 540, 3557, 23664, 776, 22735, 779, 3816, 10225, 693, 519, 2136, 8315, 4400, 30934, 585, 25083, 525, 10579, 658, 593, 519, 476, 2568, 628, 7788, 15208, 540, 519, 25083, 324, 13482, 476, 1321, 270, 278, 270, 1556, 1107, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 270, 572, 4038, 776, 270, 1220, 280, 736, 1724, 743, 15586, 270, 3944, 270, 1001, 272, 270, 1321, 270, 9965, 32076, 21867, 994, 1892, 3973, 5025, 551, 532, 11553, 300, 19608, 14199, 6424, 20484, 779, 14594, 547, 519, 7991, 593, 6465, 6804, 1145, 1107, 476, 1015, 270, 4029, 270, 1556, 268, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 1440, 332, 22812, 548, 1162, 270, 24393, 270, 1001, 272, 270, 8687, 12553, 21867, 994, 1892, 3973, 5025, 551, 532, 11553, 300, 19608, 14199, 6424, 20484, 779, 3816, 10225, 693, 519, 8751, 700, 656, 657, 5274, 7126, 8189, 24651, 476, 1015, 270, 2918, 270, 1556, 1107, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 1440, 332, 22812, 548, 1162, 22812, 548, 1162, 270, 1001, 272, 270, 21709, 28360, 21867, 994, 1892, 4813, 518, 7201, 14199, 12756, 744, 614, 334, 779, 3816, 10225, 593, 6465, 6804, 1145, 543, 13834, 26521, 1107, 476, 1015, 270, 1839, 270, 1556, 268, 630, 10674, 2517, 1220, 280, 268, 1001, 278, 269, 8063, 10993, 10768, 270, 12293, 15171, 21867, 994, 1892, 6167, 295, 10135, 779, 6465, 6804, 1145, 5680, 2457, 630, 10674, 2517, 4178, 269, 26044, 13062, 3820, 9706, 1137, 270, 5392, 322, 3607, 275, 277, 322, 14028, 11258, 994, 1892, 1280, 1027, 24779, 5623, 630, 10674, 2517, 4178, 8807, 332, 516, 1613, 3820, 23995, 520, 6804, 1145, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 2004, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 2004, 316, 18120, 3287, 267, 562, 994, 16482, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 9706, 578, 343, 5991, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 4097, 269, 6021, 260, 994, 258, 700, 10105, 281, 825, 476, 23310, 454, 258, 2598, 331, 10105, 281, 476, 271, 454, 258, 11192, 20504, 539, 281, 825, 476, 7830, 269, 276, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 9264, 269, 275, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 273, 269, 1822, 876, 14826, 1015, 7055, 16482, 258, 13127, 362, 508, 27064, 364, 1109, 335, 578, 3287, 267, 562, 264, 1109, 8147, 22287, 367, 18777, 350, 28997, 501, 1535, 476, 7511, 562, 17276, 361, 350, 23946, 480, 16583, 30936, 25707, 258, 3097, 258, 22614, 353, 374, 28032, 489, 476, 272, 912, 258, 3097, 258, 476, 27447, 24662, 281, 476, 273, 269, 1822, 876, 267, 476, 1015, 454, 258, 476, 27447, 24731, 281, 476, 9083, 275, 269, 1822, 876, 454, 258, 3097, 258, 3097, 258, 22614, 353, 374, 28032, 489, 1109, 273, 912, 258, 3097, 258, 476, 27447, 24662, 281, 476, 273, 269, 1911, 876, 267, 476, 274, 454, 258, 476, 27447, 24731, 281, 476, 280, 269, 28360, 876, 454, 258, 3097, 258, 3097, 258, 22614, 353, 374, 28032, 489, 1109, 274, 912, 258, 3097, 258, 476, 27447, 24662, 281, 476, 273, 269, 1822, 876, 267, 910, 273, 454, 258, 476, 27447, 24731, 281, 476, 271, 269, 7742, 876, 454, 258, 476, 25335, 352, 19404, 488, 281, 476, 273, 28260, 273, 815, 476, 272, 270, 273, 317, 273, 815, 476, 272, 270, 275, 815, 476, 271, 269, 1839, 454, 258, 3097, 258, 476, 13644, 368, 13107, 492, 912, 258, 3097, 258, 3097, 258, 910, 1911, 269, 271, 2999, 1109, 343, 1109, 283, 476, 1911, 269, 271, 454, 258, 562, 1109, 15159, 476, 3953, 476, 12916, 491, 20069, 31033, 9463, 371, 10533, 368, 12255, 8147, 10429, 370, 12255, 29219, 420, 490, 481, 18713, 368, 15159, 1109, 314, 6629, 273, 317, 4029, 267, 1109, 273, 317, 4029, 1109, 6629, 476, 272, 316, 476, 25707, 258, 3097, 258, 3097, 258, 692, 258, 7711, 331, 322, 3009, 284, 11034, 454, 5035, 8827, 912, 825, 1219, 1250, 303, 578, 4311, 267, 1535, 281, 10581, 267, 562, 281, 703, 264, 9847, 10581, 912, 1038, 1948, 31006, 28997, 478, 22287, 499, 267, 420, 364, 481, 17958, 16583, 30936, 454, 1038, 1948, 8873, 1535, 1262, 333, 454, 1038, 1948, 17276, 504, 368, 20693, 505, 25622, 267, 31006, 420, 368, 373, 28793, 454, 1038, 23288, 1038, 952, 562, 2999, 476, 271, 912, 2018, 562, 815, 910, 333, 454, 2018, 1535, 815, 476, 272, 24474, 454, 1038, 20735, 815, 476, 272, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 20735, 2608, 284, 1535, 454, 1038, 2132, 20735, 454, 1038, 23288, 1038, 1948, 476, 23746, 23284, 12916, 379, 17958, 26166, 418, 366, 375, 7511, 25913, 25622, 267, 21796, 357, 418, 482, 493, 26033, 481, 420, 503, 495, 333, 20992, 420, 368, 509, 12255, 7511, 418, 481, 483, 19540, 369, 454, 1038, 952, 562, 2652, 476, 271, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2999, 476, 271, 912, 2018, 2132, 476, 272, 270, 1345, 269, 3240, 303, 578, 3287, 16427, 333, 994, 1038, 4571, 301, 815, 562, 12262, 476, 273, 454, 1038, 586, 815, 1582, 269, 3240, 303, 578, 3287, 20080, 267, 13232, 301, 994, 1038, 952, 562, 4939, 476, 273, 2652, 476, 271, 10778, 2018, 2132, 586, 454, 1038, 3116, 912, 2018, 2132, 586, 20080, 28329, 258, 7711, 331, 322, 3009, 284, 754, 692, 0, 336, 11575, 318, 531, 684, 657, 815, 703, 9272, 31156, 2742, 1640, 318, 2254, 320, 815, 476, 271, 454, 531, 684, 334, 318, 2742, 1640, 318, 2254, 320, 815, 15234, 692, 1721, 1775, 538, 2039, 32429, 11575, 318, 531, 684, 657, 2187, 825, 620, 684, 334, 267, 711, 320, 815, 3403, 14061, 20889, 4590, 825, 711, 320, 815, 10581, 263, 2254, 320, 2020, 825, 952, 711, 320, 3436, 12103, 1640, 318, 2254, 320, 912, 1038, 12103, 1640, 318, 2254, 320, 815, 711, 320, 454, 1038, 620, 684, 334, 318, 2742, 1640, 318, 2254, 320, 815, 620, 684, 334, 692, 604, 12103, 1640, 318, 2254, 320, 13843, 476, 279, 912, 825, 1820, 263, 531, 684, 334, 318, 2742, 1640, 318, 2254, 320, 994, 12828, 912, 825, 1820, 3488, 14737, 3065, 4063, 711, 6603, 5073, 0, 336, 11575, 815, 703, 9272, 31156, 1721, 10917, 538, 2039, 32429, 11575, 2187, 825, 1535, 267, 586, 815, 3403, 14061, 20889, 4590, 825, 1535, 815, 703, 3287, 994, 825, 586, 815, 703, 12169, 2020, 825, 538, 545, 1470, 815, 1535, 952, 1535, 4939, 476, 273, 2652, 476, 272, 3116, 1535, 1341, 476, 272, 454, 825, 535, 574, 815, 538, 545, 1470, 1341, 586, 2608, 476, 273, 692, 825, 1474, 320, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 28649, 1470, 267, 535, 574, 267, 476, 273, 2187, 1038, 1474, 320, 6834, 1775, 454, 825, 1820, 4433, 5448, 994, 0, 323, 15606, 815, 3403, 14061, 20889, 10797, 320, 267, 536, 267, 524, 267, 546, 815, 546, 15606, 692, 320, 815, 703, 5416, 994, 321, 815, 703, 6357, 994, 322, 815, 703, 6262, 994, 323, 815, 703, 5560, 994, 864, 17010, 815, 8771, 692, 604, 536, 3436, 524, 543, 546, 3436, 513, 912, 825, 952, 524, 1341, 546, 3436, 513, 1341, 536, 912, 1038, 952, 524, 3436, 476, 271, 543, 546, 3436, 476, 271, 912, 2018, 952, 513, 4939, 476, 273, 2652, 476, 271, 912, 3546, 513, 576, 17010, 815, 6936, 692, 604, 513, 576, 17010, 912, 825, 1820, 3488, 11749, 2803, 513, 576, 527, 657, 5073, 12828, 912, 825, 1820, 3488, 11749, 2803, 562, 7776, 513, 576, 527, 657, 10807, 0, 516, 7065, 324, 815, 476, 272, 454, 5793, 815, 476, 271, 454, 326, 8145, 1470, 815, 476, 271, 454, 11391, 622, 815, 476, 271, 7531, 6112, 10221, 324, 2652, 476, 272, 912, 825, 726, 659, 541, 11328, 267, 726, 659, 541, 294, 8145, 1470, 815, 3403, 14061, 20889, 4590, 825, 726, 659, 541, 294, 8145, 1470, 815, 703, 263, 680, 659, 541, 294, 8145, 1470, 994, 825, 726, 659, 541, 11328, 815, 703, 263, 680, 659, 541, 11328, 2020, 825, 952, 726, 659, 541, 11328, 2652, 726, 659, 541, 294, 8145, 1470, 912, 1038, 3227, 622, 6834, 476, 272, 454, 825, 8640, 726, 659, 541, 11328, 3436, 726, 659, 541, 294, 8145, 1470, 912, 1038, 954, 6834, 476, 272, 454, 825, 3116, 912, 1038, 6067, 332, 1470, 6834, 476, 272, 692, 825, 1820, 3488, 22261, 334, 575, 1066, 531, 630, 272, 1606, 574, 476, 273, 268, 3534, 334, 264, 5073, 825, 10221, 324, 815, 703, 9272, 31156, 20135, 815, 954, 1341, 6067, 332, 1470, 1341, 3227, 622, 692, 2745, 3488, 24001, 575, 1066, 9820, 8339, 8971, 6025, 4973, 4917, 2745, 3488, 11328, 281, 24001, 8339, 8971, 263, 5793, 4917, 2745, 3488, 294, 8145, 1470, 281, 24001, 8339, 8971, 14116, 8145, 1470, 4917, 2745, 3488, 29248, 919, 281, 24001, 8339, 8971, 263, 11391, 622, 11723, 604, 954, 3436, 6067, 332, 1470, 912, 825, 1820, 3488, 11328, 642, 775, 340, 544, 9820, 5073, 19197, 6067, 332, 1470, 3436, 954, 912, 825, 1820, 3488, 294, 8145, 1470, 642, 775, 340, 544, 9820, 5073, 12828, 912, 825, 1820, 3488, 301, 7776, 554, 537, 557, 9006, 1027, 528, 17210, 0, 28649, 1470, 815, 476, 278, 692, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1015, 267, 476, 273, 2187, 825, 585, 795, 538, 2039, 263, 28649, 1470, 267, 538, 545, 1470, 910, 476, 274, 267, 910, 272, 2187, 1038, 1820, 3488, 296, 284, 24001, 808, 284, 24001, 8339, 8971, 9217, 267, 795, 4917, 825, 538, 545, 1470, 6834, 476, 273, 454, 0, 4802, 3873, 272, 815, 3403, 4590, 4802, 3873, 273, 815, 3403, 10797, 701, 8619, 272, 815, 13274, 3873, 272, 21858, 4590, 701, 8619, 273, 815, 13274, 3873, 273, 21858, 10797, 1998, 528, 303, 29132, 272, 815, 703, 263, 701, 8619, 272, 314, 272, 8079, 2608, 10581, 263, 701, 8619, 272, 314, 273, 7481, 1998, 528, 303, 29132, 273, 815, 703, 263, 701, 8619, 273, 314, 272, 8079, 2608, 10581, 263, 701, 8619, 273, 314, 273, 20285, 20135, 815, 27089, 303, 29132, 272, 1341, 27089, 303, 29132, 273, 692, 2745, 3488, 309, 3201, 3036, 589, 623, 8980, 2752, 281, 681, 259, 2715, 15545, 273, 325, 348, 8339, 8971, 6025, 4973, 4917, 0, 5228, 2979, 1104, 2845, 7531, 3698, 1295, 16325, 2187, 825, 2132, 1003, 1315, 2845, 16325, 9239, 3698, 3193, 16325, 2187, 825, 2132, 476, 272, 269, 14838, 6187, 2608, 1295, 16325, 9239, 11133, 3266, 815, 703, 9272, 15405, 5443, 528, 815, 1295, 16325, 3266, 994, 2742, 1640, 815, 3193, 16325, 3266, 2020, 2745, 3488, 346, 15545, 272, 325, 348, 2715, 15545, 272, 325, 348, 8339, 8971, 263, 5443, 528, 267, 12103, 1640, 4917, 0, 5228, 21773, 1104, 2037, 636, 7531, 5035, 8680, 739, 320, 263, 5319, 636, 2187, 825, 7895, 571, 815, 1412, 6244, 571, 7055, 825, 13099, 601, 815, 1412, 335, 19125, 7055, 825, 512, 525, 2227, 815, 1412, 5052, 2227, 7055, 825, 18848, 691, 334, 815, 1412, 25419, 691, 334, 7055, 825, 838, 1442, 815, 1412, 8967, 1442, 262, 7531, 11687, 525, 815, 703, 9272, 31156, 1721, 1775, 538, 2039, 6025, 652, 525, 2187, 825, 1352, 671, 517, 267, 986, 329, 815, 3403, 14061, 20889, 4590, 825, 1352, 671, 517, 815, 8680, 739, 320, 4433, 18988, 517, 994, 825, 986, 329, 815, 8680, 739, 320, 263, 571, 329, 994, 825, 952, 1352, 671, 517, 2652, 986, 329, 912, 1038, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 1546, 18051, 334, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3136, 454, 825, 952, 1352, 671, 517, 2652, 8680, 739, 320, 4877, 19125, 912, 1038, 952, 986, 329, 2652, 8680, 739, 320, 4877, 539, 571, 610, 986, 329, 2652, 8680, 739, 320, 4732, 335, 1442, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 645, 5074, 320, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 14076, 911, 10628, 537, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3136, 454, 825, 952, 1352, 671, 517, 2652, 8680, 739, 320, 4877, 539, 571, 912, 1038, 952, 986, 329, 2652, 8680, 739, 320, 269, 5052, 2227, 610, 986, 329, 2652, 8680, 739, 320, 7456, 698, 691, 334, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 645, 5074, 320, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 14076, 911, 10628, 537, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3136, 454, 825, 952, 1352, 671, 517, 2652, 8680, 739, 320, 4732, 335, 1442, 912, 1038, 952, 986, 329, 2652, 8680, 739, 320, 269, 5052, 2227, 610, 986, 329, 2652, 8680, 739, 320, 4877, 539, 571, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 645, 5074, 320, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 14076, 911, 10628, 537, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3136, 454, 825, 952, 1352, 671, 517, 2652, 8680, 739, 320, 7456, 698, 691, 334, 912, 1038, 952, 986, 329, 2652, 8680, 739, 320, 4877, 19125, 610, 986, 329, 2652, 8680, 739, 320, 4732, 335, 1442, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 645, 5074, 320, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 14076, 911, 10628, 537, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3136, 454, 825, 952, 1352, 671, 517, 2652, 8680, 739, 320, 269, 5052, 2227, 912, 1038, 952, 986, 329, 2652, 8680, 739, 320, 4877, 19125, 610, 986, 329, 2652, 8680, 739, 320, 7456, 698, 691, 334, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281, 323, 348, 281, 645, 5074, 320, 256, 8339, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 3488, 290, 553, 334, 1948, 346, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 841, 729, 849, 519, 1101, 8225, 4807, 15518, 622, 547, 519, 13477, 540, 8315, 538, 25611, 267, 16848, 267, 1141, 1352, 5249, 609, 519, 2622, 2598, 1301, 3512, 9730, 269, 4014, 513, 31390, 604, 626, 267, 1352, 20366, 585, 4516, 547, 4283, 2622, 2782, 4083, 563, 1103, 519, 476, 3707, 271, 9550, 267, 1352, 729, 17204, 269, 2060, 519, 2669, 540, 2136, 21637, 12463, 585, 32527, 520, 3019, 4975, 267, 19124, 6723, 9466, 267, 513, 1906, 2395, 1310, 519, 9550, 267, 5839, 874, 841, 729, 25945, 676, 519, 2136, 21637, 11873, 547, 2196, 538, 519, 676, 3887, 3005, 547, 6445, 519, 10160, 269, 2201, 4864, 476, 866, 267, 1352, 729, 17204, 676, 28626, 20271, 894, 11134, 21238, 8361, 645, 775, 269, 1261, 4607, 476, 275, 267, 278, 7176, 16018, 267, 1247, 5839, 874, 841, 5116, 2034, 609, 476, 275, 267, 4962, 278, 16018, 269, 898, 729, 1200, 2063, 5313, 5859, 607, 513, 11134, 563, 11073, 540, 5604, 267, 1352, 5206, 6694, 9587, 585, 519, 31248, 543, 25357, 11356, 538, 17842, 269, 11374, 513, 1920, 13357, 538, 1200, 1753, 4884, 267, 5839, 874, 841, 6410, 547, 519, 17842, 1016, 7875, 540, 5101, 3840, 267, 14411, 543, 556, 14765, 1441, 519, 14411, 16671, 293, 538, 476, 3707, 273, 4742, 922, 3484, 28013, 563, 1103, 519, 476, 3707, 274, 21621, 9550, 267, 5839, 874, 841, 729, 11221, 547, 519, 22694, 894, 13909, 540, 14411, 607, 513, 4759, 540, 519, 14411, 16671, 293, 8204, 519, 28180, 17842, 14964, 540, 3840, 5101, 269, 2701, 543, 681, 2801, 24664, 1442, 941, 519, 1101, 2021, 11221, 547, 519, 14411, 22694, 1155, 269, 2701, 729, 519, 1101, 4807, 2220, 1941, 538, 607, 606, 14411, 16588, 540, 28393, 1017, 12057, 630, 6573, 303, 1040, 4014, 17204, 538, 519, 476, 3707, 276, 21621, 9550, 267, 1352, 729, 11221, 1586, 538, 519, 476, 3707, 279, 9550, 269, 5839, 874, 841, 729, 3743, 585, 14411, 781, 1101, 3160, 2628, 9086, 267, 5293, 538, 476, 4198, 272, 267, 855, 729, 8572, 547, 3136, 1200, 3646, 950, 1352, 729, 17204, 538, 12836, 2663, 602, 1032, 269, 2311, 602, 942, 267, 5839, 874, 841, 729, 18923, 2111, 547, 1489, 9887, 998, 19761, 267, 1857, 6340, 543, 12180, 585, 519, 14411, 16671, 293, 563, 21547, 874, 841, 2760, 9310, 269, 2701, 5747, 5988, 476, 1724, 267, 476, 4198, 275, 267, 9907, 476, 8287, 267, 538, 17842, 267, 1175, 1354, 1352, 729, 547, 723, 1044, 6035, 606, 13393, 547, 519, 8225, 14130, 269, 2701, 568, 12617, 538, 12313, 6807, 267, 14411, 267, 609, 1200, 3237, 543, 15168, 15925, 5839, 874, 841, 267, 835, 540, 1200, 1079, 19946, 269, 4173, 19772, 7723, 568, 27235, 25250, 834, 18250, 4942, 841, 8487, 1103, 476, 3422, 279, 267, 950, 674, 956, 615, 2023, 4400, 3427, 729, 8719, 676, 27578, 4400, 4133, 18520, 3427, 267, 519, 2025, 1164, 1153, 729, 10736, 547, 606, 10026, 1153, 543, 3957, 5839, 874, 841, 17341, 16504, 3427, 269, 901, 2679, 729, 8719, 609, 513, 1007, 1153, 540, 519, 1482, 2012, 538, 476, 1220, 277, 563, 1103, 476, 1960, 275, 267, 5101, 3840, 14643, 3964, 519, 3397, 5886, 5839, 874, 841, 13815, 269, 634, 8366, 568, 2016, 856, 12422, 547, 834, 320, 17055, 540, 5101, 3840, 945, 814, 1500, 14222, 7418, 538, 519, 1858, 540, 7862, 2924, 543, 1514, 5126, 543, 945, 814, 30833, 543, 4797, 5839, 874, 841, 781, 2245, 540, 5718, 4799, 1103, 476, 1960, 278, 267, 5101, 3840, 22305, 13894, 519, 5993, 3397, 5886, 5839, 874, 841, 1857, 6340, 16311, 585, 1053, 269, 769, 1840, 267, 972, 616, 513, 1297, 540, 4609, 543, 10769, 9366, 2293, 3957, 585, 1200, 538, 5101, 3840, 267, 1519, 519, 3397, 5886, 5839, 874, 841, 5244, 8291, 267, 4092, 693, 519, 7944, 540, 18200, 25534, 9335, 543, 623, 1901, 22971, 282, 519, 3397, 5886, 5839, 874, 841, 7591, 3033, 267, 3397, 5886, 5839, 4942, 841, 15272, 12754, 10418, 543, 519, 3397, 5886, 5839, 4942, 841, 5253, 7813, 630, 718, 4092, 693, 476, 29900, 700, 4548, 6577, 22971, 1916, 1103, 476, 1220, 276, 267, 538, 513, 16311, 2196, 676, 5449, 14411, 12463, 303, 3057, 1176, 333, 932, 584, 2917, 267, 3397, 5886, 5839, 874, 841, 729, 20366, 607, 519, 4279, 652, 14411, 19716, 563, 4002, 4873, 476, 2190, 267, 476, 1220, 277, 267, 513, 1309, 597, 333, 543, 19730, 11861, 16033, 908, 3397, 5886, 5839, 874, 841, 781, 1272, 729, 30792, 538, 16593, 6807, 267, 14411, 269, 634, 1482, 1032, 267, 19814, 4191, 31002, 834, 2791, 616, 1631, 10024, 3397, 5886, 5839, 874, 841, 13474, 257, 941, 5116, 693, 519, 7262, 13675, 547, 519, 18296, 540, 9919, 14125, 267, 693, 519, 10167, 540, 27578, 10003, 338, 476, 275, 543, 476, 1691, 630, 4385, 12725, 607, 834, 306, 1460, 12397, 619, 19823, 543, 593, 27578, 10003, 476, 280, 267, 7532, 540, 16593, 6807, 563, 2304, 19887, 2679, 693, 476, 279, 2568, 8585, 1356, 9335, 538, 6489, 7717, 267, 14411, 267, 568, 3957, 834, 288, 3913, 525, 5839, 874, 841, 2494, 528, 8487, 1607, 2376, 568, 1759, 593, 835, 610, 811, 4930, 538, 9504, 267, 609, 12381, 543, 3606, 1543, 8329, 676, 454, 3519, 10811, 687, 15769, 269, 901, 2376, 267, 543, 1022, 1344, 689, 9504, 267, 568, 4988, 676, 513, 454, 24478, 633, 12780, 21922, 27691, 732, 531, 833, 476, 274, 269, 271, 1133, 19959, 17821, 630, 6717, 5174, 312, 4149, 288, 264, 543, 519, 454, 294, 26214, 5131, 11657, 566, 454, 2171, 10950, 707, 948, 538, 5355, 543, 9750, 519, 1543, 540, 1230, 10811, 760, 4215, 4930, 267, 543, 538, 31925, 6959, 269, 1230, 10811, 760, 4215, 568, 711, 513, 530, 5942, 281, 5225, 3346, 1230, 10811, 687, 676, 4757, 952, 596, 6999, 547, 3565, 269, 1284, 616, 849, 3168, 585, 20334, 5461, 538, 1603, 4930, 593, 3584, 267, 7606, 267, 2621, 543, 3906, 1644, 547, 1514, 5126, 543, 519, 1686, 540, 1514, 1689, 5322, 563, 2690, 811, 1344, 3346, 1230, 10811, 687, 0, 290, 3300, 1790, 3151, 568, 4553, 585, 17212, 1324, 8833, 593, 6091, 1310, 2620, 15198, 269, 1280, 1383, 267, 513, 6335, 5205, 513, 1394, 321, 754, 547, 968, 928, 23018, 1125, 892, 519, 12636, 267, 513, 4464, 18846, 5205, 513, 1394, 321, 754, 547, 948, 561, 1263, 6533, 519, 12636, 543, 9350, 519, 8401, 1062, 269, 1452, 13514, 616, 519, 3283, 602, 2048, 637, 564, 685, 519, 1560, 269, 2353, 1053, 666, 4324, 689, 4946, 4831, 13514, 547, 741, 13467, 269, 1280, 1383, 4831, 10460, 585, 17131, 577, 574, 2714, 11446, 320, 568, 8830, 341, 582, 11446, 3570, 269, 898, 568, 1034, 1419, 2219, 540, 607, 606, 6587, 12701, 547, 519, 835, 2063, 5340, 282, 585, 1383, 267, 4464, 19755, 5612, 1310, 513, 2620, 18807, 18846, 269, 634, 4831, 10460, 540, 7203, 341, 836, 553, 3570, 568, 631, 1846, 344, 553, 3570, 269, 1677, 17589, 5021, 2640, 267, 835, 1590, 1246, 909, 7203, 341, 836, 553, 3570, 609, 631, 1846, 344, 553, 3570, 543, 7203, 341, 836, 553, 3570, 1590, 581, 28263, 676, 16199, 553, 3570, 269, 22388, 13514, 1450, 835, 547, 2095, 538, 741, 2259, 3450, 3666, 1312, 593, 543, 1055, 519, 1319, 282, 621, 6770, 4656, 547, 938, 4703, 267, 8186, 267, 4664, 267, 543, 14326, 454, 307, 11698, 267, 476, 2764, 2904, 476, 1001, 274, 454, 2420, 281, 6860, 3143, 8292, 454, 763, 6797, 568, 519, 2101, 3170, 8781, 1418, 538, 519, 1560, 543, 21560, 3170, 10307, 269, 20506, 12086, 519, 1973, 267, 7738, 856, 519, 13802, 899, 5061, 267, 3768, 580, 6479, 3536, 267, 4568, 267, 8290, 267, 4551, 267, 28041, 6464, 689, 707, 1560, 269, 898, 568, 849, 3238, 538, 10307, 267, 9449, 3666, 267, 543, 4761, 3252, 269, 3509, 1004, 6560, 609, 7050, 2597, 543, 22376, 1375, 880, 10307, 269, 24269, 707, 6797, 568, 2407, 540, 13802, 267, 621, 3587, 1360, 4101, 585, 707, 6797, 547, 6633, 3170, 269, 1879, 519, 6797, 3587, 24571, 3022, 267, 1169, 1418, 538, 707, 1560, 568, 4299, 543, 3646, 547, 6336, 2597, 616, 17808, 269, 589, 24571, 3022, 6797, 666, 2014, 6659, 1973, 2604, 267, 1216, 12802, 267, 543, 9449, 19261, 267, 31202, 20945, 799, 538, 2490, 666, 1267, 538, 4006, 26351, 267, 2597, 2744, 267, 543, 15443, 5866, 936, 29115, 269, 5871, 2589, 1813, 547, 4057, 6797, 1599, 616, 281, 18648, 12536, 267, 14159, 26533, 267, 15353, 267, 2597, 2744, 19228, 267, 7054, 761, 762, 15108, 6794, 267, 2404, 609, 14159, 11926, 543, 6366, 18834, 267, 7099, 2242, 267, 4965, 267, 1164, 1973, 2604, 267, 1216, 12802, 267, 5312, 9854, 6794, 543, 18633, 1973, 4006, 2157, 2529, 727, 2081, 596, 666, 2087, 707, 6797, 1072, 585, 2597, 2530, 616, 281, 272, 269, 21079, 610, 9004, 9268, 3536, 563, 273, 269, 27276, 476, 279, 268, 1321, 14296, 540, 1216, 3232, 563, 274, 269, 18554, 5779, 543, 10683, 6981, 563, 275, 269, 3680, 14856, 14066, 2549, 870, 338, 540, 17491, 563, 277, 269, 1684, 3502, 16202, 952, 1411, 18461, 853, 5962, 563, 28848, 2635, 568, 827, 9427, 782, 519, 13802, 689, 707, 1560, 865, 596, 666, 2661, 538, 1072, 267, 3929, 9716, 543, 5289, 4448, 1145, 563, 273, 269, 27276, 476, 279, 268, 1321, 14296, 540, 1216, 3232, 563, 274, 269, 18554, 5779, 543, 10683, 6981, 563, 275, 269, 3680, 14856, 14066, 2549, 870, 338, 540, 17491, 563, 277, 269, 1684, 3502, 16202, 952, 1411, 18461, 853, 5962, 563, 28848, 2635, 568, 827, 9427, 782, 519, 13802, 689, 707, 1560, 865, 596, 666, 2661, 538, 1072, 267, 3929, 9716, 543, 5289, 4448, 1145, 563, 5881, 281, 4366, 3143, 8292, 454, 2005, 568, 2141, 513, 1434, 2856, 547, 1331, 2597, 2866, 538, 707, 1982, 950, 3843, 547, 6336, 3170, 269, 9315, 1470, 5751, 786, 948, 596, 6336, 2597, 267, 855, 596, 991, 2597, 2866, 607, 621, 786, 948, 1689, 519, 3003, 3337, 540, 707, 1560, 676, 8781, 3170, 543, 2679, 4887, 269, 700, 14823, 12035, 786, 2965, 948, 596, 6336, 2597, 269, 20226, 3858, 602, 4187, 2866, 568, 519, 1655, 1259, 547, 1628, 543, 8190, 10709, 4887, 2527, 267, 799, 11250, 909, 707, 10307, 269, 13379, 2866, 3217, 811, 4222, 982, 28491, 269, 13667, 585, 17666, 476, 274, 2395, 829, 3018, 585, 476, 1789, 268, 3393, 3764, 269, 6468, 616, 5143, 711, 12740, 12035, 267, 610, 547, 960, 609, 1769, 12035, 609, 2799, 1297, 540, 1065, 338, 269, 1809, 267, 5230, 12035, 786, 711, 1118, 2021, 4439, 5652, 607, 789, 1810, 1406, 3132, 2614, 19697, 547, 1628, 4439, 5652, 6091, 269, 1403, 707, 2832, 568, 547, 6336, 2597, 543, 1628, 4887, 693, 519, 1482, 942, 267, 2832, 585, 1079, 476, 1789, 18826, 540, 28491, 7886, 829, 3018, 269, 4698, 1047, 1284, 2074, 543, 9315, 1470, 593, 5094, 2395, 269, 6271, 4781, 1131, 581, 547, 5721, 1804, 4887, 2516, 538, 4999, 547, 11126, 707, 17811, 6633, 281, 13105, 2046, 525, 5916, 609, 2695, 1846, 267, 9343, 609, 13888, 6122, 13949, 4666, 331, 22284, 267, 22833, 788, 1225, 3149, 609, 5761, 525, 269, 6423, 547, 621, 602, 596, 1491, 476, 272, 610, 476, 273, 2395, 1055, 607, 596, 991, 547, 267, 607, 6091, 991, 942, 547, 973, 10967, 622, 269, 19768, 540, 7850, 1964, 24506, 707, 1560, 779, 2067, 1219, 1878, 543, 849, 4617, 839, 707, 2790, 543, 3929, 6617, 563, 31388, 267, 476, 2767, 2904, 476, 1001, 274, 454, 6734, 281, 4029, 3143, 8292, 454, 22709, 720, 568, 513, 2165, 1031, 585, 10296, 267, 27012, 543, 22392, 707, 2960, 267, 6091, 267, 28844, 543, 28587, 269, 7136, 720, 949, 5818, 12046, 543, 666, 948, 2042, 971, 607, 840, 5443, 11584, 531, 6794, 267, 1164, 1973, 2604, 12263, 267, 2569, 2295, 2557, 267, 621, 666, 12954, 4617, 543, 29680, 6091, 267, 10607, 2039, 540, 5163, 267, 10597, 2022, 268, 10869, 14317, 543, 4679, 1439, 6973, 1231, 269, 8330, 327, 15122, 1453, 1397, 1732, 17422, 1599, 269, 7136, 720, 568, 513, 3501, 1714, 1460, 597, 585, 1434, 1072, 563, 306, 1399, 956, 1031, 538, 18552, 3797, 4268, 689, 1279, 267, 5347, 18116, 547, 2110, 267, 25576, 1380, 633, 18116, 543, 666, 2063, 666, 2063, 9170, 689, 476, 276, 3764, 547, 476, 273, 3108, 269, 634, 1883, 568, 547, 946, 2604, 6109, 2614, 547, 1118, 513, 10151, 25034, 566, 538, 519, 2960, 269, 7136, 720, 568, 711, 513, 1434, 2856, 952, 596, 723, 513, 8611, 267, 3968, 267, 21404, 543, 824, 2564, 2175, 269, 9181, 707, 2783, 609, 707, 1072, 1416, 8502, 1354, 2469, 538, 585, 513, 18552, 269, 7136, 720, 5932, 513, 4743, 540, 1134, 1373, 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 ]
[ 18460, 22797, 780, 4089, 476, 274, 281, 9537, 540, 22960, 4035, 601, 787, 2672, 3386, 585, 3131, 11948, 18108, 543, 9093, 18108, 8081, 692, 2026, 5018, 4505, 267, 6752, 14446, 2501, 538, 3309, 5546, 267, 7306, 267, 4778, 267, 543, 2326, 269, 1280, 2043, 7680, 2367, 641, 30167, 2589, 267, 8939, 17426, 267, 28253, 267, 543, 3834, 334, 718, 1120, 21329, 3688, 1131, 2327, 4313, 1247, 1869, 5356, 12716, 9029, 269, 13018, 267, 17576, 7723, 14446, 10023, 993, 996, 22438, 10007, 1305, 538, 2901, 8988, 610, 4154, 5468, 666, 4196, 607, 5140, 5079, 2016, 741, 13513, 540, 9350, 1145, 267, 3666, 267, 543, 6418, 4222, 1107, 7907, 3810, 8179, 1310, 1282, 713, 5123, 540, 1272, 269, 5015, 267, 2094, 2837, 7939, 2152, 616, 1455, 1851, 2367, 641, 30167, 2021, 267, 1904, 532, 585, 1033, 778, 762, 20805, 1218, 610, 17157, 6823, 1274, 337, 902, 6087, 2656, 8851, 1058, 9023, 1524, 1831, 2556, 780, 4089, 476, 275, 281, 16952, 11588, 540, 12056, 2060, 22960, 4035, 601, 787, 20520, 4438, 3131, 11948, 18108, 543, 9093, 18108, 692, 19741, 7674, 607, 3948, 4773, 267, 2502, 609, 6752, 14446, 5137, 3091, 3606, 9354, 2640, 585, 2021, 10188, 829, 11948, 18108, 543, 22797, 269, 14958, 532, 14446, 7512, 11009, 267, 1966, 9010, 1983, 267, 8261, 32609, 614, 640, 1646, 267, 543, 3860, 4082, 1107, 782, 2188, 7700, 9797, 2509, 2949, 5042, 8647, 543, 3929, 6043, 630, 298, 320, 2711, 1696, 620, 1421, 476, 1001, 278, 1040, 3958, 267, 10283, 538, 1895, 11925, 11942, 4296, 609, 8284, 29048, 267, 7551, 4227, 4606, 540, 10072, 4122, 2404, 609, 10172, 543, 21022, 10285, 4390, 780, 6962, 1384, 1103, 3932, 267, 8508, 6752, 14446, 607, 513, 1797, 540, 5885, 829, 11948, 641, 30167, 543, 2367, 641, 30167, 2021, 4564, 606, 5499, 1935, 547, 7393, 741, 2631, 540, 3961, 267, 13190, 267, 543, 8171, 269, 1635, 8716, 1930, 5717, 827, 1875, 14428, 29108, 1670, 7459, 543, 14957, 585, 8537, 6272, 23695, 4481, 547, 713, 15295, 267, 3782, 7426, 666, 3648, 3565, 547, 5355, 741, 2550, 262, 2833, 2429, 891, 2565, 1272, 5933, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 5831, 14446, 568, 9735, 547, 575, 1144, 538, 269, 6468, 723, 1044, 2870, 267, 9140, 543, 9849, 6752, 610, 23788, 607, 4166, 607, 4043, 547, 581, 2025, 2614, 547, 1174, 6752, 269, 3502, 6999, 519, 2362, 11720, 539, 5386, 14446, 267, 6752, 14446, 666, 581, 14475, 538, 9118, 3029, 543, 689, 1585, 2326, 609, 2543, 547, 1957, 543, 19273, 1500, 689, 5068, 267, 3339, 4837, 267, 4496, 267, 6149, 269, 1703, 616, 849, 1004, 945, 786, 1711, 14446, 689, 20060, 1619, 269, 22960, 14446, 666, 1118, 596, 3362, 3442, 707, 6752, 1344, 563, 20112, 993, 996, 22438, 14446, 568, 1175, 835, 540, 519, 1447, 7199, 2010, 540, 14446, 547, 946, 269, 1809, 1175, 1317, 1439, 909, 1373, 20522, 1281, 711, 8209, 1611, 602, 922, 2298, 568, 4057, 269, 6578, 2978, 19987, 2549, 996, 22438, 568, 1362, 344, 543, 6752, 762, 267, 1256, 952, 621, 568, 2731, 10097, 269, 2549, 996, 22438, 568, 2139, 538, 8405, 331, 2167, 267, 25231, 7410, 267, 2156, 665, 1127, 267, 14034, 267, 543, 1274, 337, 902, 269, 1411, 786, 1205, 713, 4448, 609, 14446, 538, 1312, 3043, 610, 4154, 269, 476, 273, 2010, 540, 4154, 666, 6157, 1039, 513, 8748, 2681, 4334, 609, 519, 13711, 1369, 519, 993, 996, 22438, 563, 288, 635, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8110, 11948, 18108, 543, 9093, 18108, 8081, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 6468, 781, 2657, 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, 5149, 476, 277, 281, 27079, 1633, 9710, 5558, 538, 17104, 543, 21337, 9085, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 3638, 543, 3309, 1158, 540, 8473, 1633, 3520, 5558, 1369, 17104, 543, 21337, 3332, 269, 634, 2165, 834, 321, 4650, 1633, 3520, 5558, 257, 4016, 547, 6386, 602, 2263, 519, 1929, 1400, 5624, 1063, 4529, 267, 9163, 267, 543, 2168, 6753, 267, 1419, 4611, 538, 796, 3553, 339, 1782, 543, 16750, 2833, 269, 1284, 786, 4983, 1585, 5931, 602, 18220, 891, 4798, 1247, 7234, 519, 3140, 2796, 267, 5339, 2553, 267, 543, 1514, 6286, 7915, 538, 971, 1568, 269, 901, 1770, 6663, 547, 4161, 1053, 262, 11994, 540, 16897, 607, 513, 9135, 676, 10223, 922, 1761, 547, 22113, 1950, 2686, 2152, 543, 3895, 3444, 14426, 1620, 780, 272, 269, 8466, 12745, 281, 20616, 1143, 267, 15875, 1143, 267, 543, 8836, 7402, 12420, 692, 2414, 10146, 519, 4644, 540, 8473, 1633, 3520, 5558, 538, 4207, 17104, 543, 21337, 3332, 267, 621, 568, 1898, 1101, 547, 1174, 519, 3140, 20457, 1996, 799, 891, 2984, 10836, 269, 3864, 7810, 7269, 1282, 519, 3735, 6957, 18818, 2540, 8507, 538, 10795, 13341, 1063, 6805, 5095, 543, 4914, 7060, 267, 3056, 547, 7096, 14759, 538, 1312, 1570, 2175, 543, 7104, 16697, 2456, 269, 1452, 3140, 3157, 1266, 25311, 2189, 3029, 540, 2686, 26477, 7190, 543, 4187, 267, 18413, 519, 24536, 585, 2104, 7215, 540, 8473, 1633, 3520, 5558, 780, 2690, 3236, 267, 519, 21037, 540, 6792, 676, 5053, 4229, 3366, 676, 670, 1716, 17505, 23634, 15530, 538, 519, 2038, 31303, 2540, 28837, 519, 16160, 4539, 540, 11440, 626, 27606, 269, 31035, 689, 1232, 26305, 2199, 12977, 998, 13137, 543, 2068, 267, 3935, 9088, 13684, 1007, 3909, 4978, 267, 10409, 2853, 267, 543, 14227, 3889, 2390, 5065, 2950, 269, 6270, 791, 657, 1431, 4749, 1008, 12097, 5348, 4038, 545, 6114, 1851, 1016, 24503, 730, 9082, 267, 945, 21176, 5916, 2609, 689, 2789, 5389, 547, 8190, 22514, 580, 525, 540, 18577, 1702, 543, 7682, 741, 8116, 9624, 26568, 6381, 780, 273, 269, 7799, 1400, 28805, 543, 28628, 5772, 885, 692, 4263, 519, 2295, 540, 8473, 1633, 3520, 5558, 6013, 519, 1523, 540, 1929, 514, 1275, 267, 6508, 689, 10236, 6048, 8841, 25306, 781, 25761, 960, 593, 32537, 540, 8574, 269, 769, 9759, 267, 1929, 514, 1275, 18575, 27139, 2829, 610, 29676, 1141, 2043, 1265, 2933, 17735, 1063, 3982, 5933, 540, 1272, 267, 1514, 7158, 267, 610, 2686, 10850, 269, 1635, 30939, 891, 24813, 10851, 267, 3197, 4497, 538, 12572, 10465, 2275, 1484, 902, 602, 1219, 344, 6671, 11008, 1436, 543, 6536, 5499, 12331, 540, 4082, 780, 1607, 10206, 540, 1929, 514, 1275, 24889, 7184, 609, 932, 545, 3570, 15594, 717, 3271, 807, 1323, 345, 12245, 14243, 320, 781, 9565, 1521, 1047, 27079, 4133, 13624, 320, 674, 1258, 614, 320, 281, 634, 1715, 631, 652, 21289, 267, 13296, 1352, 1148, 10306, 919, 1200, 5075, 540, 3288, 18651, 614, 320, 607, 513, 3135, 540, 3586, 19908, 543, 7004, 269, 4340, 547, 1323, 345, 12245, 14243, 320, 267, 519, 2475, 5336, 1410, 4815, 8473, 13054, 811, 982, 1175, 513, 10923, 7941, 282, 2864, 267, 621, 4564, 606, 6946, 3060, 540, 12969, 532, 9163, 8032, 676, 13346, 1379, 6384, 543, 3140, 23543, 269, 9182, 267, 1346, 7610, 1746, 891, 29653, 1768, 23230, 1590, 7683, 6330, 5714, 6302, 543, 9784, 32475, 607, 789, 4020, 741, 2631, 540, 1582, 3125, 780, 274, 269, 23205, 16161, 543, 8111, 11499, 15689, 692, 288, 1883, 8984, 540, 8473, 1633, 3520, 5558, 568, 741, 25465, 540, 12563, 3271, 545, 18305, 543, 16750, 9988, 6537, 689, 3309, 2686, 10080, 269, 1280, 1383, 267, 5487, 700, 3271, 7431, 9497, 1492, 649, 9429, 4807, 8442, 5526, 2066, 11204, 543, 6239, 1977, 7242, 3098, 607, 513, 642, 3188, 995, 6891, 28715, 547, 32603, 5757, 3316, 802, 10478, 585, 1200, 4503, 1453, 269, 4173, 20807, 532, 1835, 625, 4196, 607, 13657, 776, 8941, 9963, 19700, 1996, 23304, 8973, 2757, 2418, 610, 13151, 17741, 547, 21817, 269, 6684, 267, 1714, 595, 1228, 14765, 3252, 607, 513, 5256, 14179, 550, 3196, 588, 22736, 5667, 639, 1051, 532, 17631, 693, 3781, 267, 5309, 5109, 873, 585, 30065, 532, 689, 22233, 10092, 780, 4322, 19706, 5515, 20838, 519, 10770, 3310, 540, 3348, 565, 11102, 3661, 1949, 593, 2413, 5824, 343, 9637, 267, 13031, 519, 6043, 540, 3504, 7326, 5103, 5553, 540, 2686, 2144, 5501, 269, 5047, 267, 789, 5512, 4589, 547, 20920, 609, 10296, 1914, 19205, 4145, 27137, 607, 9194, 267, 4008, 5208, 267, 543, 2825, 12159, 1765, 2421, 5007, 1944, 4835, 9620, 5196, 1395, 560, 9317, 1866, 269, 3414, 713, 1184, 267, 5830, 3927, 16472, 30566, 545, 27964, 1247, 14957, 585, 12790, 5380, 780, 275, 269, 8865, 5525, 281, 12634, 31157, 10289, 27079, 1633, 9710, 5558, 692, 2414, 2417, 9414, 519, 10848, 540, 8473, 1633, 3520, 5558, 267, 1577, 721, 1631, 2490, 938, 3007, 547, 1896, 8037, 1806, 689, 4207, 17104, 543, 21337, 3332, 1384, 320, 269, 8125, 16129, 2859, 7224, 8566, 2117, 17144, 781, 15742, 14730, 12085, 630, 1001, 277, 2567, 5590, 538, 2282, 1922, 1956, 6792, 4975, 267, 713, 4683, 14810, 3209, 5205, 519, 7518, 1080, 540, 7284, 267, 513, 30632, 790, 15596, 5275, 9675, 689, 15180, 804, 753, 1310, 1373, 608, 6150, 689, 1200, 1753, 8513, 269, 27933, 560, 19856, 656, 13313, 267, 562, 541, 1723, 8686, 2723, 775, 267, 543, 2797, 24187, 267, 7284, 4044, 919, 30217, 748, 24816, 543, 15359, 1206, 1200, 1378, 9019, 607, 1352, 24515, 547, 2149, 1346, 14191, 547, 1200, 269, 2859, 7224, 8566, 2117, 17144, 5578, 2685, 10905, 2609, 540, 1100, 597, 5708, 267, 575, 15402, 15832, 267, 543, 9589, 17779, 547, 4739, 513, 8903, 9661, 602, 23827, 919, 519, 7182, 540, 1480, 8116, 543, 2591, 8789, 11269, 540, 5824, 3013, 607, 513, 2230, 27507, 540, 6639, 5647, 610, 11636, 6214, 780, 321, 269, 25844, 523, 12756, 7557, 5964, 781, 4173, 10610, 543, 4033, 3487, 625, 630, 1001, 278, 2567, 1290, 19828, 5216, 2110, 2984, 267, 713, 4015, 20502, 7557, 5964, 781, 17117, 540, 23019, 11964, 543, 1651, 529, 633, 16555, 593, 4008, 267, 14920, 267, 543, 20032, 269, 25408, 267, 519, 6679, 1650, 834, 763, 26036, 7171, 853, 3558, 257, 556, 19960, 1149, 519, 3134, 11345, 4683, 10828, 607, 513, 14165, 585, 30013, 1852, 267, 16439, 519, 16502, 781, 16350, 883, 32408, 607, 1352, 3587, 5051, 1671, 333, 1563, 676, 6848, 6788, 4478, 7365, 543, 3993, 3125, 269, 10801, 519, 4015, 267, 7557, 5964, 28525, 519, 9808, 9853, 2078, 1063, 4775, 1351, 335, 648, 1275, 543, 7287, 267, 6038, 11744, 875, 2021, 5706, 1843, 2305, 998, 7580, 2773, 543, 1016, 11437, 780, 276, 269, 16677, 698, 16479, 22604, 543, 15858, 11150, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 2465, 25371, 781, 715, 313, 4325, 1529, 894, 11470, 8058, 910, 21877, 29553, 541, 454, 8702, 547, 10557, 25371, 779, 1715, 10215, 4325, 1529, 894, 11470, 8058, 267, 606, 5967, 3126, 10023, 5182, 6411, 689, 715, 313, 779, 2257, 5708, 267, 14810, 543, 16897, 2146, 267, 1519, 3377, 267, 4030, 267, 543, 14229, 752, 24406, 4060, 540, 741, 5767, 12644, 563, 9213, 1250, 16823, 568, 519, 32263, 21877, 29553, 541, 267, 2278, 540, 1453, 779, 4605, 2835, 4354, 569, 689, 1744, 597, 2917, 543, 14173, 1399, 853, 3089, 543, 849, 519, 29711, 1014, 4278, 14525, 28024, 13762, 609, 922, 3524, 601, 2997, 1014, 5950, 593, 5181, 476, 275, 269, 8080, 21877, 2336, 14399, 779, 4605, 2835, 543, 2937, 29711, 1014, 1560, 16897, 281, 602, 779, 1022, 4277, 4999, 538, 4896, 779, 1433, 269, 1215, 1705, 602, 2097, 827, 286, 1772, 1603, 1453, 779, 10643, 5497, 547, 1683, 8323, 689, 519, 8515, 540, 707, 16897, 960, 888, 305, 1430, 982, 513, 8323, 689, 519, 8515, 540, 16897, 267, 630, 663, 596, 917, 875, 7920, 621, 666, 1205, 267, 10557, 264, 585, 803, 267, 621, 779, 602, 1250, 6418, 1126, 814, 2760, 2451, 269, 594, 2445, 4605, 2835, 543, 594, 4585, 27977, 722, 496, 6923, 267, 1250, 3214, 2648, 713, 1107, 855, 594, 729, 849, 513, 16897, 4882, 857, 30235, 10178, 689, 513, 596, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 7060, 540, 476, 273, 3079, 454, 1993, 7060, 540, 476, 1015, 563, 3383, 267, 585, 1383, 2676, 27844, 538, 519, 8918, 1062, 815, 476, 275, 263, 1911, 3738, 1341, 476, 273, 263, 6200, 3738, 1341, 476, 274, 263, 1015, 264, 273, 815, 476, 275, 1341, 476, 273, 263, 1015, 264, 1341, 476, 274, 263, 1911, 1916, 8099, 4905, 538, 519, 9352, 1062, 815, 476, 272, 263, 736, 3738, 1341, 476, 271, 263, 2641, 3738, 1341, 476, 271, 263, 2420, 3738, 1341, 476, 272, 263, 2537, 3738, 1341, 476, 272, 263, 2190, 12467, 284, 476, 272, 1341, 476, 271, 263, 273, 264, 1341, 476, 271, 263, 275, 264, 1341, 476, 272, 263, 279, 264, 1341, 476, 272, 263, 1626, 994, 284, 476, 272, 1341, 476, 279, 1341, 476, 1626, 815, 476, 1839, 538, 519, 8918, 1062, 563, 30860, 602, 267, 538, 1142, 2013, 267, 649, 723, 9268, 519, 1297, 689, 1318, 547, 2451, 267, 3079, 540, 689, 454, 3847, 547, 1318, 563, 1103, 1142, 2013, 267, 649, 5206, 1524, 519, 1297, 540, 4559, 267, 519, 1297, 540, 2048, 29181, 8730, 519, 1297, 540, 454, 8072, 327, 4348, 338, 8730, 3092, 1421, 1141, 519, 2048, 1084, 685, 610, 476, 1015, 540, 519, 9352, 1062, 568, 476, 273, 267, 519, 2048, 327, 4348, 685, 610, 476, 1911, 540, 519, 454, 321, 2435, 1062, 568, 476, 2420, 610, 476, 275, 267, 543, 865, 593, 563, 15575, 532, 538, 9352, 4422, 476, 272, 267, 476, 1015, 267, 476, 1556, 267, 476, 1911, 267, 476, 6200, 267, 476, 8099, 267, 476, 9340, 267, 476, 1911, 271, 267, 3092, 269, 3079, 540, 519, 8918, 454, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 3092, 563, 763, 9352, 1062, 1152, 3340, 1079, 6698, 547, 2328, 267, 1346, 585, 835, 543, 4642, 267, 799, 568, 454, 25585, 621, 568, 865, 1271, 269, 634, 5094, 9704, 540, 2338, 2854, 538, 713, 1062, 666, 581, 454, 21323, 676, 3167, 1699, 2901, 13576, 610, 711, 13576, 538, 513, 5547, 267, 543, 4061, 454, 11133, 1499, 666, 581, 17411, 538, 713, 1106, 676, 5904, 780, 1410, 9052, 476, 272, 8807, 269, 272, 4449, 8347, 14291, 891, 1614, 9352, 2338, 883, 8918, 2338, 585, 3054, 563, 263, 272, 264, 476, 6200, 1556, 630, 273, 264, 476, 9340, 272, 630, 274, 264, 476, 9340, 18733, 692, 1692, 666, 649, 979, 519, 824, 1259, 267, 543, 6460, 8918, 2338, 883, 9352, 2338, 888, 2252, 649, 723, 519, 1297, 476, 11820, 267, 2161, 267, 649, 1223, 798, 621, 1175, 676, 24590, 621, 909, 883, 7060, 540, 1079, 563, 11820, 815, 476, 5038, 1341, 476, 3393, 815, 476, 5038, 1341, 476, 3953, 1341, 476, 1724, 815, 476, 5038, 1341, 476, 3953, 1341, 476, 279, 1341, 476, 276, 454, 284, 476, 5038, 1341, 476, 3953, 1341, 476, 279, 1341, 476, 275, 1341, 476, 272, 815, 476, 2918, 1341, 476, 1839, 1341, 476, 2537, 1341, 476, 2420, 1341, 476, 272, 454, 284, 476, 8099, 8099, 272, 538, 9352, 610, 3490, 476, 273, 563, 10490, 3730, 1259, 540, 6029, 602, 713, 1297, 568, 538, 3490, 476, 273, 568, 547, 2328, 519, 476, 273, 607, 513, 2370, 454, 11357, 27771, 267, 865, 649, 2328, 519, 1297, 607, 476, 8099, 8099, 1321, 1547, 2020, 272, 12171, 11554, 609, 1114, 5686, 540, 1297, 281, 930, 1806, 14030, 8587, 476, 3451, 454, 1607, 568, 1434, 585, 7487, 1018, 568, 8345, 267, 855, 711, 865, 1434, 607, 513, 3044, 1505, 540, 454, 935, 11437, 563, 1432, 649, 723, 2965, 2944, 1934, 568, 547, 8237, 519, 1297, 909, 883, 24482, 2362, 454, 335, 10183, 540, 476, 273, 267, 799, 649, 666, 798, 8449, 1134, 676, 14578, 12270, 621, 676, 476, 273, 267, 10916, 519, 454, 8145, 664, 1457, 693, 1142, 3942, 865, 649, 1205, 519, 4130, 7060, 607, 789, 8774, 1055, 563, 296, 1397, 519, 2324, 585, 713, 2630, 780, 7230, 664, 1457, 454, 273, 567, 476, 11820, 454, 273, 825, 476, 7918, 8587, 476, 272, 11434, 634, 2626, 568, 912, 273, 825, 476, 2767, 8587, 476, 271, 11434, 476, 11820, 1015, 568, 519, 1482, 607, 476, 8099, 8099, 1321, 4586, 273, 825, 476, 1724, 8587, 476, 272, 454, 16378, 495, 454, 273, 672, 476, 277, 8587, 476, 272, 454, 273, 672, 476, 274, 8587, 476, 271, 454, 273, 672, 476, 272, 8587, 476, 272, 454, 271, 8587, 476, 272, 692, 1410, 9052, 476, 272, 8807, 269, 273, 3546, 8347, 14291, 891, 1614, 8918, 2338, 547, 9352, 2338, 585, 3054, 563, 263, 272, 264, 476, 7761, 825, 630, 273, 264, 476, 25838, 272, 8587, 630, 274, 264, 476, 23283, 272, 692, 628, 9722, 454, 2252, 596, 723, 519, 946, 540, 513, 2780, 543, 917, 513, 5752, 1893, 267, 596, 454, 4812, 11434, 1223, 2328, 513, 1982, 547, 798, 713, 267, 2094, 519, 1184, 540, 12270, 676, 476, 273, 568, 513, 454, 516, 701, 730, 8520, 2394, 519, 1297, 1373, 5258, 568, 3294, 1447, 982, 476, 273, 269, 1411, 1175, 723, 454, 1729, 2594, 519, 2611, 10249, 865, 602, 596, 666, 4159, 610, 1820, 856, 707, 9352, 454, 935, 11437, 693, 519, 1439, 780, 1607, 1062, 1568, 8449, 1134, 538, 824, 1297, 13279, 563, 2690, 1383, 267, 538, 3490, 476, 279, 267, 649, 723, 513, 2048, 1084, 685, 540, 476, 279, 543, 513, 2048, 327, 4348, 685, 540, 476, 11025, 267, 3092, 563, 3383, 476, 26801, 279, 815, 476, 278, 1341, 476, 274, 263, 10037, 3738, 1341, 476, 273, 263, 11025, 3738, 815, 476, 278, 1341, 476, 2190, 1341, 476, 12553, 815, 476, 14689, 1015, 4586, 22998, 519, 824, 1259, 5180, 568, 2944, 676, 7368, 6498, 676, 476, 279, 563, 3383, 267, 585, 1383, 267, 547, 6460, 476, 4375, 278, 1015, 883, 3490, 476, 279, 267, 596, 1131, 798, 519, 2324, 3254, 2630, 780, 7230, 664, 1457, 454, 279, 567, 476, 4375, 278, 454, 279, 825, 476, 5392, 8587, 476, 276, 454, 16378, 495, 454, 279, 672, 476, 277, 8587, 476, 272, 454, 271, 8587, 476, 277, 454, 4375, 278, 1015, 815, 476, 277, 1428, 279, 4586, 13425, 281, 825, 476, 277, 1428, 279, 815, 476, 276, 1341, 476, 272, 672, 476, 279, 266, 277, 1038, 476, 11025, 454, 284, 476, 4375, 278, 1015, 16317, 4097, 4449, 11434, 9978, 7223, 281, 930, 23106, 540, 875, 621, 1568, 454, 272, 12171, 15301, 321, 264, 8587, 11788, 2338, 543, 2188, 454, 1103, 713, 3296, 267, 649, 1413, 13713, 693, 875, 519, 1114, 2338, 616, 3710, 909, 563, 6624, 2338, 666, 581, 2854, 607, 2472, 630, 328, 4318, 269, 3818, 4124, 264, 540, 4130, 2338, 610, 454, 2399, 832, 538, 3833, 513, 1906, 1114, 2081, 267, 585, 1383, 454, 1321, 815, 476, 273, 825, 476, 277, 815, 476, 273, 672, 476, 274, 825, 476, 273, 815, 476, 274, 1038, 476, 275, 815, 476, 1321, 567, 476, 272, 563, 301, 13246, 799, 723, 1100, 2188, 824, 982, 2933, 543, 835, 616, 1572, 6305, 454, 11133, 1499, 269, 3143, 4130, 1297, 630, 21955, 585, 476, 272, 264, 786, 7941, 883, 873, 4010, 269, 476, 278, 267, 476, 1556, 543, 476, 866, 616, 454, 718, 1806, 540, 6305, 2338, 563, 6701, 972, 1022, 1256, 6305, 2338, 2496, 9336, 1256, 1297, 666, 581, 5258, 4010, 676, 476, 273, 267, 865, 972, 568, 1175, 835, 1256, 6305, 1297, 2676, 6518, 568, 476, 273, 3294, 563, 9336, 1297, 666, 581, 2854, 607, 513, 1587, 540, 922, 6305, 2188, 267, 865, 585, 1383, 454, 1428, 815, 476, 274, 825, 476, 276, 567, 543, 567, 476, 1321, 815, 476, 2420, 8587, 476, 274, 563, 12385, 11490, 2103, 723, 3254, 602, 1169, 1297, 666, 1152, 581, 7745, 1524, 883, 513, 1587, 454, 1993, 6305, 2188, 538, 835, 1259, 267, 865, 267, 952, 649, 8237, 476, 14695, 607, 476, 273, 476, 3953, 476, 278, 267, 649, 1810, 1406, 723, 547, 5855, 602, 454, 16673, 2041, 621, 1223, 849, 581, 8237, 865, 602, 621, 814, 930, 4625, 1114, 6305, 2188, 563, 3674, 972, 513, 4806, 585, 875, 6305, 2338, 18921, 883, 519, 824, 2338, 286, 7612, 476, 272, 12171, 269, 272, 2982, 454, 718, 519, 6305, 2338, 1063, 476, 272, 543, 476, 2004, 267, 607, 26484, 10945, 780, 8201, 476, 272, 12171, 269, 272, 692, 2005, 3085, 1406, 1413, 607, 1498, 972, 568, 513, 4806, 267, 4352, 649, 798, 5469, 602, 1082, 540, 873, 3100, 454, 1729, 2097, 538, 8424, 609, 1175, 835, 1297, 538, 1063, 269, 1284, 849, 1294, 602, 267, 607, 649, 979, 1524, 998, 454, 1492, 2338, 267, 649, 616, 3478, 811, 543, 811, 2009, 6305, 2188, 585, 519, 2338, 799, 454, 933, 10093, 1406, 2943, 6603, 269, 6496, 713, 1611, 602, 1310, 513, 1247, 649, 786, 723, 6394, 782, 519, 454, 20761, 7161, 602, 649, 991, 547, 1118, 2104, 2338, 267, 865, 602, 972, 786, 1100, 3476, 581, 1022, 1007, 454, 18905, 2338, 888, 763, 2626, 547, 713, 2243, 568, 602, 649, 786, 2760, 723, 2614, 2679, 7161, 547, 1118, 454, 718, 519, 2009, 2104, 2338, 269, 9717, 1022, 6305, 1297, 267, 2705, 1804, 267, 621, 568, 2141, 2009, 454, 1729, 1265, 693, 2547, 835, 3677, 835, 563, 2171, 666, 1397, 602, 713, 568, 3020, 538, 519, 1739, 16517, 1259, 563, 2171, 1376, 676, 2921, 513, 10230, 1383, 267, 1317, 621, 568, 4443, 1287, 547, 2491, 875, 519, 454, 30348, 4422, 780, 272, 12171, 11554, 609, 1114, 5686, 540, 1297, 281, 930, 1806, 14030, 476, 476, 3374, 454, 22428, 649, 1589, 602, 476, 2537, 1522, 581, 519, 4102, 6305, 1297, 269, 630, 296, 723, 22393, 6074, 454, 638, 924, 513, 1507, 1297, 1934, 269, 898, 568, 267, 538, 1249, 267, 2653, 547, 1265, 3677, 6305, 2338, 982, 476, 2537, 267, 855, 621, 454, 15884, 798, 1360, 23182, 547, 1397, 875, 519, 2489, 4661, 4422, 4700, 3689, 267, 649, 1592, 782, 519, 6305, 454, 11133, 1499, 909, 547, 476, 2537, 269, 630, 2171, 1810, 1406, 7363, 1331, 519, 1297, 476, 272, 538, 891, 1107, 476, 272, 568, 922, 1378, 2027, 454, 684, 1664, 2013, 540, 513, 1297, 4700, 23560, 713, 3947, 721, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 543, 476, 2537, 3294, 563, 9202, 267, 649, 946, 782, 891, 6305, 2338, 547, 2328, 1524, 513, 1007, 1297, 269, 901, 1007, 1297, 568, 454, 263, 273, 825, 476, 274, 1038, 476, 276, 11434, 476, 278, 11434, 476, 1556, 11434, 476, 1724, 1363, 476, 1704, 11434, 476, 866, 825, 476, 2537, 264, 1341, 476, 272, 563, 1432, 2186, 540, 1297, 568, 713, 286, 7183, 540, 519, 6305, 2338, 909, 547, 476, 2537, 786, 7941, 883, 621, 454, 1410, 18075, 267, 1317, 1142, 540, 891, 15523, 1131, 4734, 513, 14230, 540, 476, 272, 269, 1924, 2901, 621, 568, 3294, 454, 320, 6305, 1297, 267, 610, 621, 814, 6305, 2188, 799, 616, 3677, 982, 476, 2537, 563, 292, 2416, 1259, 5180, 267, 649, 723, 3254, 602, 972, 1590, 581, 693, 2547, 835, 6305, 1297, 799, 568, 454, 331, 24147, 982, 476, 2537, 267, 543, 649, 1223, 946, 713, 4661, 538, 4010, 519, 1482, 1259, 547, 1397, 602, 952, 649, 1376, 454, 5976, 1022, 6305, 1297, 715, 267, 1287, 972, 1590, 581, 693, 2547, 835, 6305, 1297, 3677, 982, 715, 563, 1607, 1360, 8799, 19782, 1190, 1505, 568, 1813, 547, 21482, 573, 267, 513, 22301, 689, 9147, 454, 294, 872, 576, 780, 272, 12171, 15301, 322, 264, 672, 589, 3730, 3498, 1107, 28976, 4009, 5072, 454, 2171, 666, 1419, 946, 513, 1297, 779, 6305, 2188, 547, 14458, 922, 4009, 3597, 563, 2690, 1383, 2676, 1321, 815, 8587, 476, 273, 11434, 476, 273, 11434, 476, 274, 267, 11434, 855, 11434, 476, 273, 1363, 476, 273, 815, 476, 273, 267, 825, 865, 649, 666, 2161, 11434, 476, 1321, 815, 476, 273, 476, 274, 563, 2080, 568, 1776, 1383, 563, 7761, 815, 8587, 476, 273, 11434, 476, 273, 11434, 476, 273, 1038, 476, 274, 672, 476, 274, 815, 19930, 476, 273, 825, 476, 2420, 825, 476, 3953, 815, 476, 273, 1363, 476, 274, 567, 476, 273, 815, 476, 277, 476, 273, 563, 2691, 4009, 5072, 2408, 607, 851, 540, 513, 1279, 9819, 267, 621, 1419, 2306, 1919, 1454, 4443, 454, 604, 596, 27682, 873, 899, 713, 269, 4635, 513, 9498, 547, 1265, 873, 568, 1419, 711, 1360, 5363, 538, 4571, 8894, 20412, 566, 1317, 621, 4749, 3947, 596, 513, 5569, 540, 17447 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 8681, 8548, 11669, 267, 476, 2004, 267, 6316, 10233, 8782, 19009, 5073, 10823, 26644, 2891, 4462, 6134, 17438, 17392, 267, 476, 272, 267, 1822, 267, 1822, 5439, 538, 476, 2004, 25510, 5602, 10823, 20481, 10797, 10823, 8807, 2682, 263, 279, 994, 10823, 269, 7290, 263, 8681, 8548, 11669, 267, 476, 1911, 267, 6316, 10233, 8782, 19009, 5073, 10823, 26644, 2891, 4462, 6134, 17438, 17392, 267, 476, 272, 267, 1822, 267, 1822, 5439, 538, 476, 1911, 25510, 5602, 10823, 20481, 4590, 0, 323, 815, 703, 9272, 28361, 30033, 314, 272, 282, 3607, 332, 23797, 657, 1019, 553, 620, 1872, 15606, 286, 10807, 3418, 330, 815, 10581, 9272, 28361, 30033, 314, 272, 282, 3607, 332, 23797, 657, 918, 332, 11425, 15606, 286, 10807, 3418, 2728, 815, 630, 323, 2608, 476, 2568, 264, 1341, 630, 330, 2608, 476, 271, 269, 1428, 3418, 2745, 3488, 1412, 3418, 2745, 28361, 30033, 314, 272, 282, 1789, 332, 302, 2698, 513, 533, 26196, 20527, 632, 1422, 30033, 314, 272, 282, 4029, 332, 305, 259, 346, 15545, 273, 325, 348, 8339, 8971, 263, 2728, 17903, 2745, 3488, 1412, 3418, 0, 4289, 320, 815, 1496, 15947, 6112, 6936, 6769, 825, 30458, 6910, 17301, 9272, 3488, 14707, 924, 19804, 27089, 281, 262, 4297, 3418, 825, 5067, 815, 1193, 9272, 3488, 5226, 518, 2585, 541, 11631, 286, 1496, 306, 21610, 316, 1412, 26895, 21639, 14061, 29328, 3890, 314, 271, 15947, 825, 1247, 5067, 711, 538, 1412, 17928, 262, 6769, 1038, 5067, 815, 1193, 9272, 3488, 307, 7728, 292, 715, 10976, 4456, 7728, 292, 8627, 2372, 518, 2585, 541, 11631, 1496, 306, 21610, 316, 1412, 17903, 825, 952, 5067, 2652, 1412, 301, 262, 6769, 1038, 2736, 1477, 335, 4100, 815, 1496, 15947, 11069, 4100, 815, 1496, 15947, 1721, 524, 538, 30458, 6769, 825, 952, 524, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 533, 4100, 6910, 6262, 3418, 825, 3116, 6769, 1038, 791, 4100, 6910, 6262, 3418, 2745, 3488, 2525, 8782, 2608, 476, 1789, 3418, 2745, 6600, 262, 288, 30458, 1264, 3279, 20527, 281, 2715, 4289, 320, 348, 20298, 2745, 6600, 262, 288, 30458, 632, 533, 4100, 20527, 281, 2715, 335, 4100, 348, 20298, 2745, 6600, 262, 288, 30458, 632, 791, 4100, 20527, 281, 2715, 11069, 4100, 348, 20298, 2745, 3488, 2525, 8782, 2608, 476, 1789, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2193, 335, 5362, 1225, 817, 822, 3821, 630, 307, 7211, 22447, 15634, 264, 568, 606, 20005, 28033, 1016, 6879, 13041, 1630, 8463, 3750, 2275, 10248, 13421, 540, 10538, 268, 1042, 5810, 24224, 609, 5835, 26372, 338, 689, 2038, 4832, 547, 2887, 269, 10738, 513, 1906, 2395, 621, 729, 4988, 689, 1283, 547, 5377, 267, 3762, 547, 11710, 267, 609, 30293, 269, 594, 10936, 539, 519, 824, 2371, 609, 5521, 20141, 12853, 543, 621, 8604, 547, 948, 269, 901, 2164, 538, 4130, 543, 1447, 24526, 5144, 15634, 2371, 543, 4130, 1447, 24526, 2371, 786, 3049, 7864, 30746, 269, 22447, 15634, 2030, 568, 513, 21064, 10786, 540, 2025, 4610, 267, 9897, 1938, 267, 1507, 2312, 902, 267, 12535, 1938, 267, 543, 535, 27247, 3298, 269, 901, 5144, 15634, 814, 6505, 10538, 5810, 267, 543, 4667, 547, 581, 5065, 547, 824, 2694, 540, 519, 2475, 269, 4855, 519, 3501, 5144, 15634, 3762, 6006, 8666, 269, 4210, 2086, 22447, 15634, 630, 2026, 2193, 335, 5362, 1651, 7568, 1092, 264, 4210, 2086, 22447, 15634, 568, 513, 5065, 21064, 540, 519, 9456, 543, 3844, 2136, 2276, 543, 7013, 4516, 630, 10048, 527, 20899, 267, 20563, 267, 543, 25429, 32108, 1040, 12971, 5144, 344, 18682, 568, 1459, 269, 18542, 2904, 476, 1428, 267, 476, 1001, 279, 267, 476, 1556, 281, 5392, 7537, 29269, 269, 769, 1175, 513, 1906, 3108, 267, 594, 3893, 519, 2626, 281, 634, 2370, 30746, 941, 519, 1101, 1128, 541, 540, 519, 512, 1380, 1442, 26615, 30746, 269, 6398, 7348, 2407, 2450, 538, 513, 1007, 6885, 269, 4210, 2086, 5144, 15634, 666, 581, 13747, 689, 2147, 5144, 933, 2644, 676, 922, 630, 20200, 1227, 264, 11909, 32704, 1229, 16813, 1564, 17479, 693, 519, 25568, 540, 519, 2030, 26106, 802, 5266, 7522, 3762, 267, 543, 5848, 7226, 269, 901, 1032, 267, 649, 4076, 8068, 1804, 5095, 540, 30293, 593, 32761, 5144, 15634, 2371, 543, 649, 4076, 4857, 873, 607, 519, 522, 548, 6387, 21428, 573, 630, 589, 874, 529, 562, 518, 4512, 16532, 799, 568, 3006, 5219, 547, 607, 519, 5144, 15634, 21428, 573, 630, 8201, 476, 272, 1040, 1452, 3500, 2173, 8221, 267, 6978, 3887, 908, 4677, 10860, 3441, 3762, 543, 5810, 950, 2016, 513, 4960, 269, 898, 568, 1271, 547, 4894, 543, 26565, 540, 873, 693, 1101, 5920, 610, 789, 786, 3533, 15890, 519, 2030, 2507, 10323, 18919, 910, 12070, 1540, 267, 14117, 27817, 1341, 14117, 589, 874, 1749, 3040, 17397, 676, 476, 273, 3108, 3516, 269, 1703, 666, 581, 8390, 1369, 519, 1482, 2030, 610, 2371, 3395, 2673, 676, 1142, 824, 269, 1452, 12961, 1152, 3548, 2371, 267, 971, 607, 11710, 267, 3762, 267, 543, 5452, 540, 5144, 15634, 2371, 269, 654, 517, 1405, 581, 4190, 713, 1032, 267, 855, 1985, 1032, 786, 581, 1434, 269, 634, 8670, 689, 896, 519, 8768, 568, 21149, 539, 267, 4195, 3618, 568, 23953, 269, 1717, 267, 519, 32709, 630, 10472, 568, 519, 2262, 547, 946, 14386, 898, 9428, 693, 513, 5420, 2557, 267, 543, 896, 4998, 2175, 666, 581, 4397, 547, 2661, 585, 5111, 476, 1015, 1296, 269, 4033, 1455, 4408, 32761, 5144, 15634, 1216, 562, 13996, 2393, 1547, 594, 1336, 713, 9642, 3364, 593, 519, 5377, 540, 835, 540, 1250, 1455, 5144, 15634, 2030, 3762, 269, 1733, 528, 1194, 22447, 15634, 630, 288, 269, 2357, 6776, 650, 1092, 264, 1700, 1733, 528, 1194, 5144, 15634, 568, 5065, 547, 31403, 4525, 543, 814, 7522, 3762, 2147, 538, 3337, 543, 2450, 547, 9782, 4424, 269, 3143, 991, 547, 11578, 267, 4444, 1631, 256, 1717, 267, 1507, 5144, 15634, 12961, 616, 849, 24549, 5387, 543, 3049, 593, 5144, 15634, 2371, 849, 1175, 899, 519, 3677, 14583, 269, 19643, 12187, 18290, 568, 519, 1034, 1134, 8153, 4759, 540, 519, 5065, 5144, 15634, 1920, 543, 513, 9976, 16313, 3984, 2030, 269, 15248, 12704, 27134, 5798, 666, 581, 5835, 855, 616, 267, 594, 1589, 267, 811, 28608, 269, 2311, 519, 1101, 4191, 540, 519, 5920, 540, 7786, 267, 538, 1931, 547, 4688, 519, 552, 25045, 12643, 807, 267, 621, 568, 25653, 909, 676, 519, 5072, 267, 15685, 2973, 689, 519, 3037, 267, 543, 5701, 609, 5521, 15969, 269, 1635, 1230, 22448, 918, 549, 577, 7356, 269, 901, 1032, 267, 865, 2484, 594, 1810, 1405, 723, 1022, 30293, 855, 519, 2371, 1810, 1405, 1413, 607, 1434, 607, 789, 1058, 269, 594, 1589, 621, 568, 32761, 5144, 15634, 282, 621, 1281, 2097, 1394, 1169, 1032, 269, 590, 1663, 7714, 543, 30293, 666, 1831, 513, 1966, 269, 5545, 2142, 564, 956, 1547, 1306, 971, 267, 5144, 15634, 568, 2565, 585, 519, 6668, 540, 16313, 338, 269, 2048, 15916, 14117, 685, 2488, 513, 2189, 6335, 593, 606, 2025, 5172, 269, 634, 726, 2794, 267, 5835, 11399, 1052, 521, 2355, 3089, 619, 1634, 607, 5144, 15634, 30293, 1810, 1405, 20647, 538, 5144, 15634, 855, 3100, 547, 581, 9952, 693, 4466, 621, 269, 634, 2030, 13515, 3395, 543, 3384, 269, 898, 568, 1455, 538, 19126, 269, 14117, 30293, 610, 589, 874, 529, 562, 518, 4512, 616, 513, 11641, 267, 711, 5065, 6862, 616, 789, 513, 8594, 547, 16313, 630, 528, 15596, 3738, 18173, 30746, 855, 789, 616, 513, 8594, 547, 707, 5144, 15634, 2371, 607, 789, 3049, 593, 519, 5144, 15634, 543, 29186, 593, 519, 18682, 689, 519, 11710, 269, 4014, 1082, 2010, 540, 1306, 2193, 335, 5362, 25483, 1394, 689, 606, 21428, 573, 4323, 267, 930, 616, 1360, 6213, 547, 606, 21428, 573, 23588, 269, 590, 29888, 10819, 2755, 11259, 547, 2068, 267, 5144, 15634, 1281, 4482, 22376, 7714, 269, 3245, 1283, 547, 5377, 267, 3762, 547, 2490, 5835, 267, 3043, 543, 3109, 26145, 538, 3484, 2197, 267, 1141, 3006, 269, 2060, 522, 548, 6387, 2371, 2312, 902, 267, 12535, 1938, 267, 543, 535, 27247, 3298, 5144, 15634, 2249, 585, 4130, 5624, 2094, 1862, 3657, 2620, 3039, 267, 609, 513, 6093, 24999, 540, 476, 272, 3723, 689, 519, 267, 256, 1635, 476, 273, 3108, 3516, 967, 15282, 2030, 596, 1131, 4440, 723, 547, 4444, 267, 855, 2371, 269, 966, 580, 5387, 5144, 15634, 2371, 2063, 1032, 513, 19619, 1402, 6244, 909, 609, 2138, 339, 1194, 5835, 543, 27315, 1154, 267, 1287, 789, 907, 18270, 730, 16313, 3984, 2030, 694, 335, 1023, 630, 4620, 531, 6438, 3762, 3738, 543, 476, 276, 535, 4310, 23511, 2776, 24000, 519, 3070, 689, 15700, 782, 2694, 540, 519, 512, 1380, 1442, 26615, 30746, 1390, 2707, 540, 585, 24222, 3043, 543, 3109, 26145, 2901, 5835, 610, 13711, 3844, 15532, 824, 609, 269, 3807, 899, 519, 3677, 14583, 594, 2759, 519, 2030, 1524, 267, 9126, 3022, 621, 543, 28520, 2476, 1862, 6496, 2097, 1394, 1169, 1032, 1282, 519, 3395, 4005, 267, 835, 540, 1250, 5144, 15634, 2371, 723, 1044, 4080, 547, 10538, 269, 634, 772, 2529, 269, 543, 4516, 476, 276, 26372, 539, 3029, 6849, 538, 2072, 1510, 621, 267, 789, 666, 711, 2347, 741, 4783, 269, 898, 8604, 547, 948, 21149, 532, 6612, 11903, 3762, 3762, 540, 5144, 15634, 267, 519, 1152, 3984, 2030, 3762, 540, 2371, 256, 22447, 15634, 2030, 3762, 2030, 568, 513, 1390, 2707, 540, 22060, 585, 17984, 23463, 1862, 13560, 267, 5144, 15634, 2371, 5835, 3762, 621, 543, 28520, 621, 2476, 930, 616, 1360, 6213, 547, 606, 21428, 573, 4323, 267, 930, 616, 26070, 256, 10866, 267, 10097, 16674, 543, 681, 300, 2592, 28520, 621, 2476, 5835, 610, 13711, 3844, 23511, 1656, 27315, 1154, 267, 1287, 789, 5884, 5798, 666, 581, 4397, 547, 2661, 585, 5111, 476, 1015, 2807, 2999, 533, 3436, 476, 1626, 268, 2190, 15234, 7381, 1535, 476, 1240, 268, 2190, 15234, 2647, 1082, 8755, 17160, 610, 4764, 256, 23046, 267, 589, 525, 2193, 335, 3780, 547, 2490, 5835, 267, 3819, 856, 267, 594, 1589, 621, 568, 1271, 256, 17897, 267, 835, 540, 1250, 1455, 5144, 15634, 2030, 568, 513, 9157, 267, 2068, 15033, 2030, 855, 269, 4107, 10731, 538, 3484, 2197, 267, 1141, 621, 3006, 3029, 1804, 10125, 8720, 606, 23505, 610, 811, 609, 30293, 4783, 256, 2598, 17126, 539, 267, 4195, 3618, 568, 23953, 2482, 741, 5798, 593, 5144, 15634, 2371, 513, 9976, 3984, 1862, 5729, 267, 855, 2063, 1032, 513, 19619, 1402, 6244, 909, 609, 2138, 339, 1194, 5835, 543, 3039, 3762, 521, 543, 1421, 811, 28608, 2030, 568, 513, 9157, 267, 2068, 15033, 2030, 267, 855, 519, 729, 24222, 6978, 3887, 908, 4677, 10860, 3441, 3762, 543, 11710, 540, 519, 512, 1380, 1442, 26615, 30746, 3039, 609, 256, 7102, 30293, 855, 519, 2371, 729, 4988, 609, 522, 548, 6387, 2371, 519, 1152, 3984, 2030, 538, 2127, 269, 2986, 476, 272, 3723, 689, 519, 3182, 338, 2630, 267, 9811, 267, 649, 723, 5835, 256, 16376, 7864, 30746, 2539, 21212, 17506, 10118, 568, 513, 9157, 267, 2068, 15033, 2030, 267, 855, 1985, 1032, 786, 581, 2807, 4934, 693, 476, 273, 610, 476, 274, 3952, 5810, 267, 543, 519, 11058, 3481, 16313, 16793, 991, 5144, 15634, 3762, 543, 5810, 950, 513, 269, 910, 12070, 1540, 267, 5835, 3762, 1341, 5835, 30293, 3040, 17397, 676, 476, 273, 3108, 3516, 3013, 609, 522, 548, 6387, 907, 1306, 5144, 15634, 30293, 1631, 616, 1134, 3964, 538, 519, 8666, 1657, 568, 741, 4212, 2527, 4718, 2527, 1862, 901, 5144, 15634, 814, 6505, 10538, 5810, 267, 543, 1058, 581, 896, 680, 5896, 609, 2539, 21212, 907, 715, 20973, 585, 17984, 267, 23832, 18346, 267, 10987, 267, 543, 1058, 581, 896, 680, 5896, 609, 2539, 21212, 17506, 10118, 3043, 543, 26145, 269, 7316, 621, 3006, 3029, 1804, 10125, 8720, 606, 23505, 610, 811, 267, 922, 9663, 1492, 560, 7187, 2039, 568, 538, 2807, 4014, 1082, 2010, 540, 1306, 2193, 335, 5362, 25483, 1394, 689, 606, 21428, 573, 23588, 1390, 5144, 15634, 2249, 4130, 1862, 5729, 513, 19619, 1402, 6244, 909, 609, 2138, 339, 1194, 5835, 543, 3039, 3762, 543, 1810, 11313, 512, 2030, 621, 538, 4993, 1862, 1261, 2074, 540, 936, 476, 272, 25451, 630, 476, 274, 1412, 3738, 855, 621, 666, 606, 256, 1809, 621, 666, 4482, 606, 24379, 3693, 2755, 11259, 547, 2068, 267, 5144, 15634, 1281, 4482, 907, 634, 967, 15282, 2030, 596, 1131, 4440, 723, 547, 4444, 267, 855, 2063, 5144, 15634, 2371, 5835, 3762, 513, 19619, 1402, 6244, 909, 2138, 339, 1194, 269, 630, 4620, 531, 6438, 3762, 3738, 543, 476, 276, 535, 4310, 24968, 27134, 5798, 666, 581, 4397, 547, 2661, 585, 5111, 476, 1015, 1296, 11783, 0, 763, 772, 2529, 269, 5403, 8433, 1107, 1631, 519, 772, 2529, 269, 5403, 531, 6796, 1107, 5189, 2098, 7709, 9479, 538, 476, 3422, 274, 269, 1358, 7722, 6004, 269, 2098, 7709, 547, 3895, 741, 946, 269, 6744, 1864, 856, 538, 713, 9240, 990, 344, 5152, 563, 763, 772, 2529, 269, 5403, 8433, 1107, 1631, 519, 772, 2529, 269, 5403, 531, 6796, 1107, 5189, 2098, 7709, 9479, 538, 476, 3422, 274, 269, 968, 313, 7709, 892, 568, 606, 27099, 585, 18630, 26094, 4643, 269, 1358, 7722, 6004, 269, 2098, 7709, 547, 3895, 741, 946, 269, 6744, 856, 713, 9240, 990, 344, 5152, 563, 300, 841, 4320, 2799, 13497, 538, 519, 1101, 3368, 540, 14206, 2540, 269, 769, 519, 3105, 2540, 267, 1514, 19359, 1500, 909, 519, 3341, 16093, 766, 540, 13875, 269, 1306, 519, 2197, 5912, 539, 689, 513, 2392, 7631, 2299, 6694, 4346, 547, 606, 4853, 835, 267, 519, 2470, 543, 4320, 540, 13875, 4957, 269, 6355, 13875, 1107, 10229, 267, 1514, 3354, 11974, 267, 5491, 3556, 267, 3915, 902, 543, 11033, 540, 782, 11673, 267, 17476, 1107, 3357, 547, 581, 476, 3199, 260, 540, 13875, 4320, 676, 519, 476, 3422, 271, 338, 269, 634, 13875, 7829, 1062, 1223, 711, 1832, 909, 563, 1103, 519, 19412, 2906, 267, 1034, 13875, 6410, 676, 5721, 269, 2859, 982, 476, 1015, 267, 1822, 14884, 5645, 13875, 547, 2462, 4872, 543, 6917, 14252, 269, 13518, 540, 519, 13875, 729, 15044, 679, 8905, 269, 769, 8011, 532, 5756, 267, 607, 13875, 4320, 1011, 10757, 267, 5721, 11507, 695, 17213, 563, 763, 24888, 547, 2098, 7709, 9479, 729, 519, 2749, 7997, 267, 5189, 538, 476, 3707, 274, 269, 14066, 4872, 941, 5258, 883, 22921, 10851, 547, 3432, 18570, 540, 519, 13875, 269, 634, 7997, 729, 9411, 593, 519, 2232, 1899, 1063, 2749, 543, 1533, 267, 552, 3052, 269, 24144, 476, 1556, 267, 20957, 563, 763, 2098, 7709, 3009, 729, 513, 1900, 547, 2333, 4398, 269, 968, 313, 7709, 892, 568, 606, 27099, 585, 18630, 26094, 4643, 7868, 2012, 6700, 602, 519, 13875, 12599, 811, 7561, 267, 543, 4061, 811, 3533, 630, 345, 6235, 2059, 1070, 950, 6494, 619, 946, 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 ]
[ 2120, 269, 1809, 7227, 267, 519, 3694, 602, 596, 616, 8380, 538, 568, 2907, 547, 16556, 630, 12890, 3724, 1040, 1411, 4584, 606, 21349, 16556, 3694, 630, 6358, 264, 543, 2322, 621, 538, 519, 547, 2120, 563, 763, 547, 2120, 568, 2186, 540, 10464, 267, 865, 519, 2837, 568, 22522, 2507, 8117, 621, 547, 6814, 519, 3694, 1022, 1811, 630, 15263, 1040, 1879, 519, 547, 2120, 568, 2944, 267, 596, 1205, 519, 27581, 547, 16556, 3694, 630, 16059, 264, 2507, 8117, 596, 4718, 602, 519, 3694, 729, 1175, 711, 693, 519, 1318, 12094, 540, 6960, 630, 12890, 3724, 1916, 10303, 596, 941, 865, 4584, 344, 267, 596, 1185, 547, 2322, 519, 3694, 538, 519, 547, 2120, 1586, 2394, 519, 3977, 25389, 596, 563, 1103, 1686, 267, 3425, 2907, 723, 891, 1852, 1949, 1259, 1354, 519, 5904, 941, 1256, 2219, 540, 563, 1103, 476, 12739, 272, 267, 9324, 529, 14466, 514, 11827, 519, 3106, 11896, 269, 1879, 519, 3196, 3330, 513, 15245, 25295, 519, 3106, 11896, 779, 2597, 1813, 547, 606, 2333, 538, 2604, 267, 519, 11896, 10741, 543, 519, 9252, 3330, 519, 15245, 568, 5950, 1765, 324, 977, 1947, 4929, 513, 6749, 538, 2604, 1377, 269, 1411, 666, 1289, 621, 968, 2246, 11703, 2604, 7939, 5608, 4849, 711, 513, 2582, 5907, 5057, 729, 1031, 563, 8448, 3772, 267, 16924, 6417, 6191, 941, 519, 1152, 3364, 602, 1004, 1223, 2479, 4952, 1394, 538, 519, 1554, 563, 10048, 783, 1852, 540, 6191, 3340, 519, 4527, 540, 1480, 12427, 1317, 519, 11378, 543, 3664, 616, 849, 1500, 676, 519, 11346, 269, 634, 6191, 616, 1869, 519, 3283, 7900, 519, 3157, 267, 855, 621, 568, 909, 547, 519, 1480, 11346, 547, 9794, 519, 3977, 2609, 563, 763, 6654, 1966, 538, 602, 513, 709, 572, 689, 16924, 13234, 1852, 1949, 568, 519, 1279, 3856, 3790, 563, 4467, 3966, 625, 1131, 723, 547, 2628, 1256, 811, 1004, 547, 1852, 1169, 1184, 1175, 1317, 519, 1482, 1004, 616, 519, 3283, 7900, 519, 2298, 11974, 267, 8373, 7020, 267, 543, 1169, 2565, 4305, 602, 2838, 3206, 563, 1103, 1249, 267, 1175, 2866, 891, 1004, 1131, 1491, 1776, 32004, 540, 942, 267, 543, 2693, 606, 4316, 1942, 585, 873, 269, 5047, 267, 7607, 540, 713, 1826, 540, 1062, 568, 1016, 268, 9953, 2711, 1317, 540, 1480, 7687, 563, 17798, 267, 519, 8261, 1852, 267, 4352, 1970, 21057, 538, 513, 1507, 4336, 4853, 1062, 267, 949, 711, 581, 22237, 1279, 3856, 538, 513, 1804, 4336, 5133, 563, 305, 1047, 540, 14825, 730, 7010, 454, 8505, 558, 730, 1949, 2968, 519, 6654, 3070, 547, 519, 2042, 602, 3357, 609, 513, 1804, 8397, 8261, 1852, 14764, 563, 8505, 558, 730, 1949, 9004, 4247, 602, 12427, 616, 2356, 4280, 547, 798, 281, 24410, 1076, 24544, 543, 3590, 6513, 269, 634, 13128, 1062, 3096, 513, 6806, 2000, 17274, 5955, 1062, 547, 1118, 713, 2009, 563, 763, 17120, 3693, 267, 538, 938, 2013, 267, 568, 519, 623, 9448, 267, 543, 519, 968, 31088, 610, 7233, 892, 568, 519, 19243, 3457, 799, 519, 623, 9448, 8060, 547, 1685, 519, 3157, 269, 623, 9448, 12957, 849, 3096, 713, 2203, 538, 1931, 547, 1685, 513, 3126, 540, 4247, 14578, 563, 6524, 519, 623, 9448, 729, 11827, 267, 519, 6191, 941, 6417, 1210, 1528, 4435, 22817, 17176, 1572, 4039, 904, 563, 9824, 904, 960, 1210, 519, 6240, 540, 13590, 4610, 269, 4706, 1374, 5161, 540, 513, 16509, 267, 1141, 6453, 666, 581, 4294, 543, 513, 3346, 4496, 799, 2488, 15364, 547, 1079, 23525, 267, 2356, 513, 2707, 543, 519, 6417, 3926, 8276, 22389, 563, 10303, 540, 519, 8798, 540, 882, 904, 267, 519, 15175, 540, 1164, 14617, 3457, 971, 607, 16546, 666, 1631, 581, 6417, 1210, 4130, 5122, 11387, 269, 634, 8912, 9183, 568, 513, 1507, 1379, 2707, 9013, 519, 15175, 585, 513, 3677, 5547, 563, 288, 1614, 25686, 15632, 5179, 267, 585, 1383, 267, 949, 1631, 581, 6417, 1210, 513, 476, 2190, 309, 9823, 3761, 3079, 540, 15175, 621, 2047, 689, 519, 2707, 1210, 513, 17033, 7344, 6467, 269, 901, 14764, 23352, 5122, 10898, 602, 519, 12427, 3068, 1282, 5106, 563, 9824, 904, 666, 2901, 581, 7363, 1930, 610, 7363, 6806, 269, 589, 7363, 1930, 20794, 267, 950, 4448, 547, 513, 5547, 267, 568, 899, 606, 5508, 293, 15581, 6467, 563, 5319, 1120, 1944, 519, 20794, 32195, 519, 4276, 1063, 519, 4448, 23525, 267, 8754, 3246, 5122, 15364, 543, 7432, 621, 10396, 269, 28611, 1930, 882, 904, 616, 2356, 1031, 593, 11387, 1141, 621, 568, 5508, 293, 5354, 540, 519, 942, 563, 288, 7363, 6806, 20794, 267, 593, 519, 824, 1688, 267, 6411, 519, 6587, 1259, 607, 519, 7363, 1930, 20794, 630, 553, 1455, 2631, 6645, 721, 1040, 4045, 532, 519, 7363, 6806, 20794, 2488, 5122, 15364, 563, 5319, 1120, 1944, 519, 7363, 6806, 20794, 3927, 11912, 519, 4276, 1063, 519, 1079, 4448, 23525, 267, 7432, 519, 5547, 5508, 293, 1317, 519, 1699, 2095, 13515, 563, 9824, 599, 1852, 1949, 2907, 15538, 540, 9266, 4238, 1394, 1287, 269, 5221, 540, 713, 267, 519, 20794, 1062, 1374, 2838, 1702, 593, 519, 17950, 540, 7954, 563, 763, 6272, 540, 1852, 1949, 1210, 882, 904, 729, 9788, 856, 609, 5207, 16134, 1210, 4039, 599, 20603, 30894, 563, 17780, 593, 519, 4137, 267, 11093, 873, 538, 3126, 11696, 1194, 519, 6730, 2783, 30147, 5921, 602, 1312, 4039, 599, 272, 6730, 4039, 599, 273, 1590, 1683, 5122, 15364, 267, 6382, 972, 568, 1100, 15364, 563, 5522, 5217, 873, 538, 6252, 11696, 1194, 519, 10758, 2783, 30147, 5921, 602, 661, 18952, 2207, 21450, 540, 4039, 599, 272, 543, 4039, 599, 273, 949, 581, 5828, 10396, 547, 1683, 1379, 547, 519, 5547, 563, 5472, 540, 891, 2175, 8263, 513, 28611, 7046, 4039, 599, 1317, 519, 28611, 1849, 2216, 4039, 904, 616, 538, 1249, 267, 606, 6697, 540, 519, 10691, 7954, 563, 763, 9046, 609, 4039, 904, 454, 9824, 904, 267, 1256, 1498, 621, 2968, 513, 811, 8465, 3070, 538, 1852, 1949, 267, 849, 2968, 16609, 607, 519, 4853, 10253, 1332, 3677, 538, 2450, 563, 5575, 540, 782, 267, 4039, 599, 1852, 1949, 616, 2182, 342, 1600, 269, 9861, 2182, 342, 1600, 267, 607, 621, 949, 2303, 267, 5921, 602, 1169, 20794, 610, 3403, 3926, 1590, 581, 4448, 1210, 12904, 269, 634, 1852, 8440, 1394, 1287, 941, 971, 513, 5458, 3190, 2336, 12648, 4063, 602, 538, 4853, 3157, 267, 1896, 2175, 585, 5106, 616, 1459, 269, 22948, 949, 3006, 3082, 547, 1062, 2242, 1317, 3549, 1175, 11441, 547, 2087, 7607, 543, 4398, 269, 1280, 2182, 342, 1600, 1949, 267, 713, 3340, 519, 2898, 1062, 547, 581, 17370, 1600, 563, 17606, 779, 606, 2653, 4305, 952, 596, 616, 513, 1434, 5122, 11653, 1848, 3502, 2731, 269, 11088, 267, 519, 4039, 904, 616, 1528, 4435, 22817, 3457, 269, 4438, 519, 14764, 5123, 267, 789, 1449, 519, 1062, 1169, 1631, 543, 1287, 269, 1717, 267, 4152, 849, 5921, 602, 519, 15175, 540, 519, 882, 904, 729, 3238, 269, 901, 1131, 711, 1831, 513, 1966, 2394, 21450, 856, 540, 513, 670, 7419, 11403, 3633, 610, 8946, 302, 4785, 13263, 882, 904, 8959, 1813, 547, 5957, 563, 1432, 1131, 1287, 581, 519, 1966, 286, 24410, 7632, 327, 17415, 269, 898, 1131, 1491, 589, 700, 5588, 540, 24906, 942, 12544, 2362, 4316, 1942, 563, 4467, 3966, 625, 1185, 547, 1589, 9789, 516, 1590, 581, 930, 1259, 649, 666, 1205, 1472, 602, 18596, 3390, 563, 1103, 3685, 540, 519, 623, 9448, 454, 22134, 571, 5336, 1738, 729, 519, 1101, 835, 547, 3390, 513, 7662, 585, 18747, 547, 4194, 713, 3390, 676, 4758, 606, 6662, 968, 22056, 606, 5907, 4244, 585, 891, 2010, 540, 20794, 1949, 6100, 898, 2968, 2312, 547, 3025, 602, 891, 6671, 20794, 1949, 2968, 16609, 607, 519, 2872, 9450, 563, 6546, 942, 267, 621, 729, 9400, 661, 269, 5651, 2917, 945, 9863, 547, 581, 519, 1034, 15747, 1268, 538, 519, 8798, 540, 519, 623, 9448, 269, 1261, 729, 3957, 607, 968, 293, 1430, 540, 623, 9448, 9731, 763, 1101, 623, 9448, 729, 711, 1256, 3957, 623, 9448, 286, 898, 729, 1572, 3525, 6625, 630, 9556, 983, 3059, 17120, 1916, 763, 3525, 6625, 729, 1287, 9715, 676, 3549, 267, 5576, 928, 3187, 11272, 1373, 519, 1699, 8227, 563, 763, 623, 9448, 338, 941, 23553, 1210, 513, 12045, 610, 519, 4039, 599, 20603, 30894, 6262, 6817, 700, 9554, 20603, 30894, 264, 5631, 1317, 540, 922, 16134, 543, 519, 2702, 547, 8415, 519, 5892, 4121, 4039, 599, 20603, 5071, 1983, 269, 3143, 835, 729, 2838, 547, 1353, 513, 1007, 5752, 1893, 538, 1931, 547, 946, 519, 21117, 7954, 585, 623, 9448, 563, 4415, 519, 4720, 540, 519, 623, 9448, 267, 1114, 623, 9448, 5752, 4654, 616, 1631, 2139, 799, 616, 849, 7550, 689, 3741, 538, 2780, 5752, 543, 3625, 12222, 269, 901, 1500, 519, 1184, 3810, 11684, 538, 2474, 540, 875, 623, 9448, 338, 616, 23553, 543, 13542, 14653, 563, 296, 1336, 835, 5363, 3381, 602, 6257, 623, 9448, 538, 1469, 267, 621, 568, 849, 1459, 538, 513, 1644, 2022, 630, 15062, 1916, 26794, 540, 623, 9448, 454, 30356, 5413, 547, 4039, 904, 454, 2026, 5892, 5018, 267, 519, 623, 9448, 12193, 519, 22237, 543, 2930, 2042, 602, 1804, 8397, 4039, 599, 6513, 1949, 723, 269, 5358, 30154, 20603, 2552, 2651, 619, 723, 18378, 4039, 904, 267, 713, 1797, 596, 666, 946, 519, 623, 9448, 547, 957, 607, 513, 4039, 599, 952, 596, 4941, 547, 563, 10702, 3156, 540, 519, 18378, 4039, 904, 849, 4847, 9858, 547, 2569, 3790, 540, 9140, 5094, 3334, 547, 1711, 7033, 518, 4039, 904, 610, 22388, 4039, 904, 563, 15253, 1563, 547, 519, 4039, 599, 6513, 7010, 267, 623, 9448, 1852, 1949, 723, 513, 1454, 267, 1454, 9962, 5044, 540, 1852, 7399, 269, 2913, 803, 6961, 547, 596, 1210, 606, 1383, 281, 16242, 6513, 543, 18323, 6513, 563, 8794, 4039, 599, 1949, 267, 596, 1131, 723, 547, 946, 1776, 4039, 599, 5071, 585, 519, 1079, 2010, 540, 1852, 1949, 563, 8794, 623, 9448, 1949, 267, 2705, 267, 596, 1152, 991, 547, 723, 476, 272, 1982, 1317, 519, 1482, 21117, 7954, 6516, 949, 581, 1031, 4849, 602, 519, 3977, 543, 3403, 3457, 616, 12012, 563, 10303, 623, 9448, 338, 616, 5904, 267, 789, 666, 6467, 3592, 14678, 693, 513, 2557, 11389, 778, 762, 676, 519, 1528, 4435, 22817, 4039, 904, 563, 10214, 1498, 20794, 7954, 1949, 946, 519, 17950, 540, 7954, 267, 519, 623, 9448, 666, 1869, 1685, 15175, 693, 513, 1454, 2362, 3432, 982, 519, 20794, 1062, 2523, 952, 519, 1297, 540, 882, 904, 2501, 547, 513, 4627, 610, 513, 8536, 269, 901, 2501, 689, 519, 4393, 3432, 540, 519, 623, 9448, 779, 3844, 4393, 1770, 563, 1607, 568, 519, 1655, 5413, 538, 519, 1374, 540, 623, 9448, 1949, 269, 3767, 267, 972, 616, 3301, 2139, 585, 8888, 700, 9554, 20603, 30894, 585, 519, 623, 9448, 799, 1331, 519, 29896, 540, 519, 1374, 563, 1607, 2636, 596, 547, 1449, 519, 2898, 1062, 1510, 2348, 547, 3653, 1379, 593, 519, 3977, 3457, 563, 3891, 1188, 267, 596, 666, 1256, 798, 713, 1510, 513, 623, 9448, 607, 1279, 607, 596, 723, 519, 3301, 538, 707, 2780, 267, 855, 930, 623, 9448, 338, 666, 581, 23553, 968, 553, 568, 9731, 17829, 5686, 540, 623, 9448, 338, 949, 581, 23553, 538, 922, 700, 7374, 4159, 267, 855, 621, 1281, 991, 547, 723, 519, 3403, 3457, 4448, 547, 621, 538, 1931, 547, 1397, 606, 6697, 3977, 593, 519, 5496, 563, 763, 623, 9448, 568, 513, 27726, 1242, 2780, 267, 799, 1797, 621, 568, 2966, 585, 10792, 2175, 602, 949, 581, 11402, 538, 4888, 312, 4853, 3157, 269, 4634, 519, 3334, 602, 519, 623, 9448, 3096, 2063, 585, 513, 1360, 1279, 942, 1354, 5821, 563, 9827, 267, 519, 623, 9448, 3096, 513, 5547, 4027, 6240, 1572, 8838, 12251, 15684, 563, 15368, 1227, 267, 713, 6240, 3096, 1769, 547, 2490, 593, 606, 3403, 610, 3977, 12363, 540, 519, 623, 9448, 267, 3976, 711, 2348, 1463, 3346, 609, 519, 5547, 787, 540, 1312, 5011, 563, 1607, 2636, 519, 623, 9448, 547, 2057, 519, 5122, 1699, 602, 10596, 998, 645, 30862, 519, 3403, 2427, 543, 519, 3977, 2427, 563, 8512, 338, 540, 623, 9448, 454, 763, 1292, 2694, 540, 519, 623, 9448, 666, 581, 19040, 883, 1614, 281, 594, 23860, 3296, 267, 6239, 14409, 5149, 267, 543, 5358, 1067, 269, 1284, 917, 585, 513, 1249, 602, 513, 1978, 6216, 540, 623, 9448, 949, 723, 1808, 3334, 602, 949, 610, 949, 711, 581, 1459, 538, 1866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12925, 519, 13398, 540, 519, 865, 10777, 968, 4537, 328, 924, 595, 29266, 25028, 6100, 2311, 519, 1482, 942, 267, 519, 4598, 540, 9459, 779, 6046, 1982, 538, 476, 1220, 273, 543, 922, 6024, 13120, 540, 6046, 2029, 1646, 267, 519, 9157, 23372, 22002, 676, 9459, 1282, 519, 1974, 540, 13259, 24703, 710, 329, 611, 779, 24164, 689, 476, 1220, 276, 547, 476, 1001, 274, 267, 543, 519, 3500, 6658, 540, 519, 2475, 15525, 7245, 779, 3609, 2509, 9459, 782, 7494, 25623, 519, 18142, 7580, 4160, 563, 763, 2034, 5123, 3323, 538, 476, 1001, 272, 269, 2311, 713, 3942, 267, 519, 30925, 1063, 519, 1079, 5011, 814, 519, 4162, 540, 3786, 267, 3392, 543, 8116, 269, 2290, 568, 22742, 269, 769, 476, 1001, 277, 267, 18142, 17936, 13264, 1055, 20320, 1894, 609, 9459, 1586, 1317, 540, 519, 11056, 540, 1744, 807, 804, 20143, 715, 574, 19207, 538, 18142, 17936, 269, 769, 476, 1001, 278, 267, 18142, 17936, 849, 694, 30099, 20320, 1894, 609, 1627, 20345, 1813, 547, 922, 968, 26625, 677, 540, 18483, 6100, 15907, 891, 2152, 267, 1082, 6259, 2477, 8359, 547, 1246, 18142, 17936, 267, 2759, 1055, 20320, 1894, 609, 9459, 543, 1627, 20345, 267, 543, 8678, 519, 4550, 268, 614, 2928, 1143, 19710, 3366, 676, 18142, 17936, 269, 9459, 568, 5156, 547, 4228, 922, 3310, 538, 519, 3148, 676, 5885, 1744, 807, 4229, 971, 607, 26288, 779, 1261, 345, 2513, 331, 1695, 267, 16850, 779, 645, 1662, 541, 12512, 267, 29874, 779, 670, 1926, 328, 11439, 4229, 267, 543, 15840, 1778, 779, 2797, 11685, 269, 4279, 3786, 269, 634, 2034, 568, 3392, 4115, 1436, 269, 769, 2477, 971, 607, 29874, 267, 15840, 1778, 267, 12925, 267, 543, 16850, 267, 18142, 17936, 543, 9459, 616, 4922, 5156, 547, 1489, 519, 6129, 14269, 543, 1744, 807, 4229, 6606, 267, 799, 814, 3366, 547, 519, 3392, 4115, 1436, 540, 18142, 16927, 3757, 1014, 30925, 543, 6237, 28326, 13607, 2152, 267, 543, 814, 1831, 519, 2707, 540, 7526, 538, 29874, 543, 16850, 269, 2290, 540, 519, 4128, 585, 519, 14556, 2305, 540, 6237, 7526, 269, 634, 3791, 568, 8665, 1436, 269, 18142, 17936, 543, 9459, 616, 2808, 676, 519, 3544, 1158, 547, 581, 968, 698, 757, 892, 540, 519, 2136, 2276, 543, 6576, 6606, 267, 543, 519, 1079, 2477, 723, 741, 1378, 968, 698, 757, 892, 538, 519, 5664, 5101, 269, 1306, 513, 1267, 267, 6237, 28326, 13607, 2152, 723, 1044, 1951, 13949, 593, 585, 513, 1279, 942, 563, 306, 22066, 13756, 540, 3624, 779, 6820, 8232, 19541, 454, 7712, 476, 1708, 272, 267, 1996, 519, 4282, 602, 519, 3510, 538, 519, 5664, 5101, 814, 3622, 22157, 547, 8897, 267, 519, 1079, 5011, 267, 799, 723, 1044, 16290, 538, 513, 7580, 22536, 2761, 538, 6469, 543, 4914, 12602, 267, 723, 3254, 4191, 540, 1574, 532, 1894, 267, 543, 723, 5342, 1896, 21448, 540, 5188, 538, 12925, 267, 855, 723, 2760, 1044, 2111, 547, 3035, 513, 14634, 269, 2060, 519, 7928, 1164, 7400, 4205, 1063, 3624, 267, 18142, 17936, 543, 9459, 538, 2487, 1296, 267, 519, 3102, 7580, 11450, 1063, 3624, 543, 18142, 17936, 543, 9459, 814, 4797, 547, 15052, 267, 4946, 547, 519, 1279, 3856, 11505, 543, 8994, 3972, 1063, 3624, 543, 519, 1079, 2477, 269, 589, 11175, 729, 5555, 6913, 538, 19864, 563, 7212, 18142, 17936, 543, 9459, 723, 606, 1439, 18100, 5397, 547, 2087, 1894, 267, 3624, 814, 17216, 5129, 606, 1271, 1909, 538, 519, 759, 18870, 540, 20320, 1894, 1063, 519, 1079, 5011, 269, 901, 568, 849, 513, 3811, 2259, 540, 519, 968, 17471, 8232, 19541, 892, 6069, 676, 3624, 538, 476, 1708, 273, 269, 18043, 267, 18756, 543, 4264, 3354, 1523, 6100, 634, 20961, 16927, 12036, 21047, 814, 711, 1152, 3366, 547, 519, 1574, 532, 540, 3486, 1894, 538, 519, 13323, 543, 1256, 519, 5664, 5101, 267, 855, 568, 849, 4657, 519, 6237, 2797, 2497, 543, 7580, 2934, 6353, 676, 4655, 543, 30925, 585, 513, 1279, 942, 267, 1818, 3624, 779, 1279, 3856, 13319, 540, 12560, 1646, 267, 15360, 543, 5188, 267, 10892, 543, 8994, 1565, 543, 824, 20320, 2035, 543, 6657, 814, 1831, 513, 1455, 3903, 540, 6237, 2477, 267, 543, 568, 4397, 547, 1118, 4708, 543, 1646, 513, 6237, 7678, 269, 0, 1432, 568, 621, 827, 888, 295, 558, 26557, 814, 1279, 1044, 11008, 2213, 607, 513, 829, 11437, 610, 27640, 1170, 2065, 4524, 269, 1548, 952, 267, 1310, 782, 267, 922, 5169, 729, 6211, 543, 4061, 2067, 286, 901, 1131, 1611, 602, 972, 568, 513, 28305, 15859, 269, 1809, 519, 2278, 814, 711, 1044, 2111, 547, 6542, 713, 269, 1717, 267, 646, 814, 4767, 602, 972, 568, 513, 12402, 538, 28305, 9038, 547, 15859, 1947, 2490, 2509, 519, 3119, 533, 11189, 1843, 563, 20124, 676, 7917, 966, 269, 681, 10212, 1512, 334, 593, 24296, 680, 1662, 454, 3963, 568, 621, 1271, 888, 16920, 16670, 6436, 666, 948, 547, 1174, 875, 28305, 9038, 6923, 6125, 267, 998, 741, 3929, 3347, 267, 547, 513, 3119, 2648, 1843, 540, 533, 11189, 5169, 563, 5649, 519, 22731, 454, 1607, 2985, 568, 513, 5758, 540, 281, 589, 10312, 593, 22503, 13067, 26557, 538, 5369, 15351, 24608, 9085, 267, 4139, 4750, 540, 28044, 1014, 5525, 267, 5181, 476, 1708, 272, 267, 5696, 650, 267, 20396, 281, 476, 1015, 269, 14138, 274, 270, 3707, 271, 3445, 2568, 1532, 10937, 1911, 1428, 563, 2791, 666, 1224, 519, 2407, 1257, 912, 763, 1739, 723, 8329, 547, 713, 2985, 0, 2026, 513, 1565, 9872, 267, 649, 3494, 602, 649, 723, 606, 17185, 547, 938, 1053, 267, 5234, 267, 543, 2146, 547, 1489, 1480, 2924, 543, 1514, 2152, 563, 291, 1751, 1299, 29621, 281, 1284, 1871, 543, 22632, 3309, 2833, 543, 5380, 267, 1711, 513, 22205, 543, 16614, 1565, 1604, 267, 543, 3895, 1569, 267, 4316, 543, 7862, 585, 782, 269, 670, 299, 2975, 568, 8149, 547, 18997, 938, 1053, 609, 519, 2518, 2146, 538, 2247, 269, 4516, 568, 513, 1629, 25140, 3309, 2197, 267, 22205, 782, 1004, 547, 8661, 741, 23141, 538, 513, 2922, 1604, 269, 280, 454, 763, 1739, 616, 1806, 540, 938, 4763, 7341, 912, 268, 3689, 8315, 538, 4516, 281, 5678, 267, 2528, 267, 1686, 543, 11760, 618, 269, 2311, 670, 299, 2975, 1053, 786, 7119, 538, 3606, 3689, 8315, 1893, 543, 2686, 2238, 1282, 741, 2090, 563, 268, 11806, 273, 306, 8656, 266, 281, 8081, 267, 10014, 267, 543, 16873, 269, 670, 299, 2975, 5234, 543, 1053, 2099, 513, 2647, 3099, 540, 4008, 9163, 543, 4638, 31223, 543, 568, 513, 2922, 1604, 585, 782, 1053, 269, 4841, 616, 9244, 9415, 547, 1451, 827, 8225, 270, 29514, 11806, 273, 306, 8656, 266, 2924, 543, 7119, 538, 2199, 29233, 2621, 563, 268, 6820, 27639, 267, 23532, 885, 543, 9671, 687, 281, 4841, 786, 723, 15032, 543, 3610, 609, 606, 5044, 540, 3909, 270, 1278, 4978, 267, 2686, 10080, 267, 5389, 543, 16873, 269, 2311, 670, 299, 2975, 267, 649, 6451, 2621, 543, 2238, 585, 938, 1053, 547, 723, 8076, 543, 3872, 2686, 2833, 563, 268, 15348, 281, 670, 299, 2975, 2488, 513, 2922, 2230, 585, 1053, 547, 1451, 827, 543, 1865, 2199, 543, 2518, 2797, 2152, 563, 14549, 7126, 1299, 667, 793, 640, 281, 1284, 616, 8149, 547, 26621, 519, 2924, 540, 782, 1004, 547, 2661, 609, 3354, 267, 1582, 12635, 267, 543, 5191, 540, 4082, 543, 13889, 267, 543, 547, 723, 519, 4316, 547, 1683, 585, 741, 1378, 2115, 543, 3565, 547, 2486, 563, 12892, 1299, 9483, 10456, 281, 1284, 616, 8149, 547, 8236, 9698, 267, 4316, 267, 543, 5126, 585, 2950, 602, 723, 1044, 13840, 12790, 267, 9301, 602, 713, 568, 13615, 547, 4023, 24454, 602, 5512, 2043, 267, 3885, 267, 543, 2950, 547, 8853, 269, 0, 20181, 3661, 538, 4720, 568, 2404, 609, 513, 2362, 1377, 540, 14882, 267, 22457, 8456, 267, 25641, 5615, 4724, 11806, 266, 1004, 543, 6803, 18441, 267, 543, 2489, 29383, 4724, 1004, 9228, 547, 4866, 547, 606, 856, 31228, 267, 3173, 1336, 1210, 12220, 6394, 2066, 476, 5379, 2477, 563, 763, 4681, 267, 4080, 538, 519, 4750, 540, 22226, 543, 4317, 10017, 267, 941, 1759, 593, 1239, 689, 519, 2136, 2276, 267, 476, 866, 8109, 3864, 2477, 267, 476, 1839, 7332, 2477, 267, 543, 5840, 563, 14071, 1336, 602, 771, 10964, 3971, 538, 519, 3069, 602, 3425, 7960, 689, 824, 2831, 729, 2404, 609, 14882, 267, 22457, 8456, 267, 543, 1489, 585, 25641, 5615, 2509, 1480, 856, 25364, 267, 3226, 18441, 630, 22372, 593, 741, 7292, 267, 3909, 267, 610, 4638, 3961, 1040, 901, 9756, 729, 3622, 1507, 855, 729, 5812, 2066, 1114, 2477, 543, 4529, 2223, 519, 1382, 4589, 5143, 17692, 11862, 7220, 563, 2108, 17387, 14688, 267, 4352, 3661, 538, 1480, 4720, 729, 1644, 547, 2538, 6685, 543, 2797, 11122, 32236, 267, 519, 12205, 1063, 3661, 538, 1480, 4720, 689, 2831, 543, 2462, 6838, 8456, 4371, 849, 2066, 1585, 3909, 6688, 950, 9013, 585, 3800, 540, 3909, 1145, 543, 2797, 5784, 267, 607, 1134, 607, 824, 4143, 4632, 630, 324, 3052, 269, 4747, 267, 1377, 540, 2069, 267, 3092, 12175, 28454, 941, 849, 1336, 1851, 1875, 1673, 11395, 2516, 630, 516, 31437, 543, 7292, 18441, 1040, 7536, 19136, 582, 787, 568, 19890, 1259, 1932, 1455, 538, 1480, 2528, 267, 855, 519, 1249, 602, 649, 616, 2831, 1522, 948, 547, 4161, 602, 1369, 6000, 543, 938, 7239, 269, 634, 960, 267, 3366, 676, 10927, 11001, 853, 2643, 1014, 657, 5204, 1886, 9567, 657, 543, 3220, 772, 686, 17151, 3333, 514, 267, 5267, 1079, 19165, 607, 547, 1946, 602, 1522, 581, 519, 2013, 563, 3080, 568, 1514, 3961, 3069, 267, 799, 4025, 1895, 3961, 693, 519, 4099, 540, 875, 649, 5581, 6000, 269, 1924, 952, 649, 666, 3398, 938, 3838, 8103, 543, 1256, 938, 3838, 1918, 1275, 267, 649, 666, 4228, 938, 3824, 4981, 547, 9784, 1346, 945, 616, 1114, 689, 721, 563, 763, 824, 2856, 2501, 689, 9810, 2359, 3069, 269, 18972, 4043, 547, 20912, 938, 9019, 267, 18468, 602, 649, 666, 7639, 2669, 2901, 12777, 610, 3090, 1227, 269, 3776, 4529, 267, 10764, 267, 6082, 267, 519, 2898, 1950, 3060, 540, 1018, 2306, 938, 3824, 12952, 267, 13104, 721, 689, 891, 16650, 2055, 269, 1924, 649, 899, 547, 3180, 5196, 1346, 3824, 12952, 2093, 269, 12694, 547, 602, 666, 1930, 938, 4064, 547, 938, 2462, 582, 1845, 563, 763, 3069, 540, 4720, 814, 19117, 811, 982, 938, 2257, 269, 1635, 8220, 721, 547, 2831, 543, 519, 2067, 1158, 693, 1804, 267, 621, 814, 4957, 875, 8103, 12034, 3294, 563, 2108, 12218, 673, 1514, 6530, 5267, 602, 4466, 938, 1455, 8103, 543, 7487, 875, 938, 856, 25364, 616, 849, 1480, 267, 899, 721, 267, 568, 519, 1259, 547, 2569, 2462, 582, 787, 543, 632, 16058, 1436, 540, 856, 25364, 269, 2755, 713, 568, 3020, 267, 713, 3070, 3884, 1406, 3501, 267, 1317, 621, 1869, 5337, 2803, 519, 1249, 602, 649, 616, 538, 9759, 2831, 2223, 519, 2319, 6045, 547, 17692, 11862, 7220, 563, 2108, 3383, 5310, 519, 1883, 568, 547, 581, 2111, 547, 11760, 938, 3838, 3662, 5169, 1107, 602, 649, 616, 782, 2831, 267, 3824, 4981, 543, 856, 16766, 7567, 267, 543, 3976, 581, 1447, 31030, 593, 938, 2686, 543, 3084, 9163, 799, 1522, 2417, 22887, 10663, 954, 16766, 3604, 267, 5555, 4227, 938, 5731, 8864, 547, 14882, 543, 954, 16766, 4655, 3034, 4407, 519, 3069, 540, 4720, 814, 1044, 1031, 547, 4161, 2462, 6838, 8456, 971, 607, 10168, 267, 3765, 690, 2106, 344, 267, 11806, 874, 14113, 267, 621, 814, 849, 1044, 1031, 547, 28511, 2462, 582, 787, 896, 519, 1368, 1047, 540, 2257, 971, 607, 519, 552, 1872, 523, 923, 3350, 269, 1924, 1175, 1317, 2576, 6487, 602, 4720, 568, 3020, 267, 621, 3085, 1406, 1611, 789, 798, 711, 4865, 22457, 267, 3765, 690, 2106, 2065, 267, 4630, 2684, 11131, 267, 1098, 874, 11131, 267, 610, 2111, 626, 8456, 563, 763, 2319, 568, 2324, 547, 1294, 952, 3274, 2810, 1004, 779, 3661, 538, 1480, 4720, 543, 938, 26837, 4192, 3095, 547, 519, 3662, 1158, 666, 948, 4161, 2462, 582, 787, 2066, 519, 4604, 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 ]
[ 7420, 5426, 1384, 303, 31980, 1004, 267, 519, 19999, 558, 3626, 525, 267, 2141, 1628, 741, 8075, 689, 2947, 4009, 11623, 269, 594, 4898, 875, 1082, 1114, 19999, 320, 5321, 596, 666, 1711, 2496, 2162, 20613, 1746, 585, 2349, 770, 5510, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1015, 2230, 2951, 6840, 616, 7996, 547, 4604, 741, 5624, 4721, 269, 1703, 616, 1079, 9343, 540, 16295, 538, 519, 7996, 4055, 269, 4635, 519, 3652, 267, 1141, 616, 789, 782, 9361, 286, 2052, 596, 1265, 782, 519, 2009, 2081, 2496, 2162, 4432, 325, 2672, 1080, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 891, 1714, 1407, 5957, 513, 1114, 28459, 1169, 1554, 585, 607, 1082, 2395, 607, 2009, 267, 875, 1082, 2395, 666, 741, 1187, 2063, 2496, 2162, 16803, 781, 10658, 14794, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 296, 1376, 1250, 3460, 538, 21586, 632, 13191, 10098, 543, 3643, 782, 519, 4872, 607, 16803, 4330, 267, 8429, 998, 2052, 828, 571, 1354, 28925, 267, 543, 1287, 13059, 547, 21586, 269, 1548, 8905, 1223, 594, 723, 3144, 2496, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 596, 1185, 476, 3607, 18695, 267, 1018, 1114, 7750, 6950, 1223, 596, 1118, 2496, 2162, 10979, 31201, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2791, 3112, 3442, 513, 5542, 540, 4672, 8645, 7657, 2293, 602, 2882, 11207, 1018, 2576, 814, 2907, 6074, 269, 5620, 513, 979, 543, 1265, 782, 519, 1114, 2081, 538, 799, 5722, 1453, 666, 723, 4672, 8645, 780, 2162, 10435, 10699, 6950, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4131, 781, 2161, 596, 666, 1152, 946, 1079, 1114, 13080, 910, 476, 273, 4559, 543, 476, 275, 4559, 269, 4635, 1175, 891, 476, 273, 13080, 607, 519, 8728, 875, 1082, 1114, 7750, 6950, 666, 596, 1118, 2496, 2162, 25038, 10699, 525, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 13014, 513, 6292, 540, 18695, 602, 666, 581, 6410, 547, 1397, 782, 519, 2395, 540, 519, 3923, 689, 519, 476, 272, 560, 547, 519, 476, 4029, 560, 780, 2162, 19343, 27148, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2304, 320, 543, 17664, 6743, 538, 513, 17657, 538, 519, 1140, 545, 269, 1358, 1336, 2025, 27972, 6545, 543, 575, 12495, 267, 22970, 543, 13968, 269, 1215, 1082, 2009, 24853, 1223, 789, 1118, 2496, 2162, 21541, 2961, 17699, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 22428, 972, 568, 513, 5721, 609, 476, 2190, 1286, 17699, 799, 616, 2469, 547, 581, 2322, 1927, 547, 1118, 909, 930, 1007, 14884, 269, 2052, 596, 1265, 782, 519, 2081, 602, 713, 666, 581, 2944, 2496, 2162, 10934, 674, 13783, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 12648, 513, 13551, 540, 1957, 543, 16784, 621, 538, 3368, 267, 543, 3368, 1586, 267, 547, 1118, 2185, 4130, 25965, 269, 1215, 1082, 1114, 2081, 666, 596, 16784, 621, 909, 2496, 2162, 25538, 654, 768, 338, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 954, 6549, 12519, 25538, 654, 768, 338, 616, 4535, 789, 1413, 1175, 899, 513, 13306, 269, 3962, 1032, 789, 1332, 1776, 13306, 538, 1022, 4287, 269, 4855, 782, 519, 5546, 602, 2947, 4458, 6040, 25538, 654, 768, 338, 666, 581, 780, 2162, 24583, 531, 13268, 1115, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 666, 596, 2322, 2947, 23611, 21168, 1927, 547, 1118, 1114, 5546, 952, 596, 1590, 2322, 873, 3068, 3562, 19904, 2496, 2162, 570, 3796, 593, 513, 4793, 1470, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 2081, 666, 596, 1265, 540, 512, 4979, 519, 4009, 1273, 1470, 267, 1210, 4009, 17981, 540, 1114, 7306, 2496, 2162, 12054, 7469, 648, 6178, 1023, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 306, 655, 7469, 648, 568, 513, 1259, 547, 5365, 519, 9904, 1210, 1079, 17514, 269, 1411, 1522, 1616, 547, 6494, 513, 5048, 602, 3568, 811, 982, 1175, 5022, 269, 1215, 1082, 824, 6698, 1223, 596, 6494, 1210, 713, 3009, 2496, 2162, 634, 14559, 631, 10270, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 7883, 998, 519, 28618, 267, 10655, 543, 9561, 707, 2724, 607, 596, 979, 269, 6904, 8905, 3947, 596, 519, 5207, 2132, 286, 1656, 519, 9803, 2496, 2162, 29502, 5346, 2368, 2859, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 2081, 666, 596, 1265, 547, 798, 909, 782, 2185, 16181, 593, 1250, 10359, 286, 1215, 827, 952, 594, 1185, 2947, 16181, 286, 14520, 3267, 2496, 2162, 12243, 21115, 600, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 5353, 1597, 2828, 4682, 547, 513, 1187, 4023, 609, 6266, 540, 17559, 26055, 269, 1358, 4956, 547, 6292, 909, 585, 26055, 2394, 1142, 3659, 1185, 678, 5200, 2899, 609, 1142, 540, 519, 1866, 269, 1548, 729, 519, 2698, 1297, 26055, 2496, 2162, 2836, 322, 684, 657, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 649, 1185, 476, 1626, 1769, 13063, 799, 3059, 2338, 1223, 649, 1118, 286, 1215, 786, 596, 917, 596, 4312, 1336, 873, 782, 2496, 2162, 1715, 4944, 3639, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 11356, 3817, 1205, 9674, 693, 1753, 649, 723, 547, 2119, 547, 4990, 873, 856, 543, 1205, 1919, 538, 519, 2953, 1931, 269, 1215, 1082, 2081, 666, 649, 6582, 891, 3817, 865, 602, 519, 1297, 532, 949, 581, 1114, 2496, 2162, 9741, 13340, 525, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 1114, 7750, 6950, 666, 596, 1118, 950, 596, 946, 2185, 7131, 338, 610, 23861, 338, 286, 1215, 827, 1210, 2947, 267, 1287, 3670, 2496, 2162, 9335, 9549, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 763, 4161, 1934, 568, 547, 1265, 607, 1082, 11507, 607, 596, 666, 585, 513, 20545, 547, 979, 865, 602, 713, 4884, 568, 5258, 909, 883, 1079, 30556, 267, 1142, 609, 476, 279, 7161, 780, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 16248, 19273, 616, 8142, 539, 593, 513, 9764, 5911, 543, 616, 25549, 2901, 2699, 610, 4544, 269, 2052, 596, 1265, 782, 2185, 1114, 10659, 2496, 2162, 1715, 5600, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 713, 7634, 267, 596, 1590, 2119, 547, 1118, 8075, 1210, 18695, 269, 1403, 519, 3490, 1590, 711, 21383, 936, 476, 275, 10945, 543, 596, 723, 476, 278, 18695, 799, 1796, 585, 476, 278, 11623, 267, 1018, 1114, 6272, 666, 596, 2097, 909, 609, 2496, 2162, 590, 2056, 21998, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 4161, 12134, 596, 547, 8495, 519, 2698, 1297, 540, 6486, 602, 1131, 581, 2366, 952, 2185, 1453, 6494, 835, 547, 782, 1614, 1866, 269, 1215, 1082, 1131, 581, 2366, 952, 972, 941, 2947, 1453, 286, 14520, 2496, 2162, 5851, 4975, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8196, 519, 10881, 547, 960, 856, 799, 4872, 15011, 3139, 267, 2701, 978, 267, 570, 1415, 320, 543, 32038, 520, 2661, 538, 780, 2162, 476, 274, 681, 902, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 596, 723, 1614, 9764, 3615, 267, 596, 1223, 6582, 873, 865, 602, 789, 616, 5094, 267, 15700, 267, 20718, 610, 3330, 1142, 824, 269, 2052, 596, 8495, 782, 519, 1114, 7399, 2496, 2162, 590, 15659, 6641, 5471, 1845, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8340, 856, 875, 649, 666, 4766, 519, 834, 22131, 5471, 1845, 257, 540, 713, 6906, 543, 8495, 930, 10659, 540, 15914, 543, 1166, 6235, 621, 780, 2162, 23413, 11276, 16011, 692, 7462, 6520, 476, 276, 547, 476, 1691, 7420, 5426, 1384, 2467, 616, 8370, 22788, 323, 625, 538, 23413, 11276, 16011, 910, 1614, 2699, 267, 1614, 4544, 543, 1614, 5835, 269, 1703, 616, 849, 8370, 8075, 267, 1614, 540, 1142, 7990, 269, 2052, 596, 2322, 873, 593, 519, 4786, 540, 23413, 11276, 16011, 2687, 547, 519, 3652, 2496, 2162, 932, 665, 338, 267, 631, 6493, 267, 808, 749, 625, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 513, 12826, 972, 616, 476, 275, 932, 4377, 919, 267, 476, 274, 808, 749, 625, 543, 476, 276, 631, 6493, 269, 4855, 513, 1259, 547, 2671, 519, 26265, 1063, 519, 1614, 1453, 865, 789, 1142, 1205, 519, 2186, 789, 899, 269, 1772, 972, 811, 982, 835, 1259, 547, 798, 621, 2496, 2162, 570, 25523, 28353, 674, 2167, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 3080, 3068, 540, 513, 2834, 25543, 28353, 568, 13556, 4544, 543, 1142, 540, 519, 6967, 8188, 616, 13556, 1210, 835, 540, 519, 15437, 2699, 267, 3039, 610, 5835, 269, 1215, 1082, 1114, 7399, 616, 972, 2496, 2162, 2201, 27010, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2791, 723, 476, 276, 546, 11301, 543, 707, 3077, 6060, 568, 476, 4510, 269, 1215, 1082, 1114, 2081, 1223, 596, 6060, 476, 4510, 2496, 2162, 2859, 5753, 543, 12518, 692, 7462, 6520, 476, 278, 547, 476, 1691, 7420, 5426, 1384, 1607, 4161, 11498, 519, 12518, 7634, 865, 1631, 2185, 610, 811, 1453, 616, 3238, 780, 2162, 14520, 1772, 519, 5681, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1432, 798, 519, 9704, 538, 519, 1297, 19939, 1039, 909, 547, 286, 1215, 1082, 824, 2338, 723, 9704, 609, 519, 1482, 2698, 855, 1100, 21325, 2496, 2162, 634, 10658, 3960, 1782, 21690, 19255, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2467, 941, 1750, 9749, 585, 476, 273, 335, 267, 9910, 5798, 585, 476, 274, 335, 267, 932, 1442, 334, 13063, 585, 476, 276, 335, 543, 561, 14709, 335, 3591, 585, 476, 278, 335, 538, 519, 6653, 6300, 269, 1548, 1223, 1142, 540, 519, 1453, 4444, 609, 741, 2724, 2496, 2162, 8422, 10158, 17186, 5455, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 31568, 814, 8370, 17981, 269, 1261, 2322, 873, 1927, 547, 1118, 513, 4009, 865, 602, 1079, 17981, 540, 519, 1482, 7990, 941, 711, 22290, 1142, 824, 269, 2052, 596, 1265, 1776, 1259, 547, 798, 621, 2496, 2162, 589, 14339, 543, 513, 24504, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 288, 14799, 814, 513, 5374, 11425, 543, 513, 11308, 15393, 543, 1352, 6487, 519, 3259, 540, 1142, 269, 1215, 666, 1352, 2268, 856, 606, 476, 279, 1770, 4062, 540, 15393, 2496, 2162, 8422, 676, 8422, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 6635, 9792, 476, 274, 2699, 267, 476, 274, 4544, 543, 476, 274, 5835, 27669, 883, 513, 1614, 8386, 31644, 4009, 7470, 267, 865, 602, 972, 568, 1152, 835, 540, 1142, 7990, 538, 1169, 4737, 543, 1169, 6241, 692, 2162, 19999, 320, 5403, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2080, 616, 519, 5777, 585, 476, 272, 560, 543, 476, 273, 526, 1362, 13875, 1369, 519, 5177, 269, 1411, 723, 606, 19957, 1297, 540, 1142, 540, 891, 22827, 269, 6904, 22827, 1131, 596, 991, 547, 2022, 513, 1612, 4897, 20604, 476, 279, 1839, 326, 2496, 2162, 12518, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 16248, 1453, 616, 2469, 547, 4444, 930, 2371, 585, 741, 4332, 17058, 269, 1358, 786, 2030, 873, 1369, 9764, 10092, 269, 1215, 1223, 789, 798, 713, 2496, 2162, 19643, 12187, 21998, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 19177, 1453, 941, 4687, 513, 1305, 540, 8938, 21144, 18173, 6486, 269, 3657, 972, 1022, 6486, 789, 782, 1616, 286, 3657, 972, 1022, 602, 9039, 540, 873, 1616, 2496, 2162, 19999, 320, 2398, 1307, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8794, 782, 4557, 6486, 689, 476, 271, 547, 476, 280, 267, 30337, 873, 547, 1118, 2947, 6305, 2338, 269, 2052, 596, 1265, 1022, 824, 2081, 540, 3257, 621, 2496, 2162, 16505, 621, 5455, 2439, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 1103, 875, 1082, 1114, 2081, 666, 596, 2736, 909, 513, 6529, 540, 476, 278, 954, 24286, 18695, 286, 3767, 2119, 609, 513, 6529, 540, 476, 279, 18695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 274, 454, 1916, 263, 643, 264, 634, 6228, 540, 19605, 3961, 476, 1703, 6818, 519, 1950, 1297, 454, 271, 1341, 1775, 476, 271, 630, 6577, 6838, 607, 476, 271, 1070, 1572, 519, 19605, 3961, 610, 519, 4642, 1950, 454, 15893, 267, 971, 602, 267, 585, 1169, 1950, 1297, 1990, 267, 1990, 1341, 476, 271, 815, 1990, 563, 17635, 264, 634, 6228, 540, 19605, 11201, 476, 1677, 1169, 1950, 1297, 454, 345, 815, 513, 1341, 16481, 267, 649, 723, 519, 1950, 1297, 1107, 513, 1341, 1775, 263, 1700, 536, 264, 630, 6577, 6838, 607, 1107, 476, 1990, 13211, 21406, 519, 19605, 11201, 610, 2942, 540, 1990, 269, 1284, 7747, 602, 1990, 1341, 630, 1700, 345, 264, 815, 476, 271, 454, 275, 269, 274, 269, 273, 476, 16338, 540, 1079, 1950, 2338, 9717, 1022, 1079, 1950, 2338, 1990, 454, 272, 454, 663, 454, 345, 454, 273, 454, 267, 519, 3017, 1990, 454, 272, 454, 1700, 1990, 454, 273, 454, 529, 3989, 607, 5205, 912, 345, 454, 272, 454, 1700, 1990, 454, 273, 454, 284, 1990, 454, 272, 454, 266, 630, 1700, 1990, 454, 273, 454, 1916, 2690, 1383, 267, 630, 277, 1341, 476, 274, 328, 264, 1107, 630, 273, 1107, 1775, 264, 815, 630, 277, 1341, 476, 274, 328, 264, 1341, 630, 1700, 476, 273, 1341, 1775, 3738, 815, 476, 275, 1341, 476, 275, 328, 454, 663, 630, 273, 1107, 476, 1775, 264, 1107, 630, 277, 1341, 476, 274, 328, 264, 815, 630, 273, 1107, 1775, 264, 1341, 630, 1107, 476, 277, 1107, 476, 274, 328, 264, 815, 1107, 476, 275, 1107, 476, 275, 328, 454, 1708, 275, 268, 1839, 454, 4281, 11434, 13878, 30388, 454, 275, 269, 274, 269, 274, 476, 18527, 540, 1079, 1950, 2338, 2913, 1990, 454, 272, 454, 284, 513, 1341, 16481, 543, 1990, 454, 273, 454, 284, 524, 1341, 7329, 581, 1022, 454, 18314, 1950, 2338, 269, 3973, 267, 519, 1587, 1990, 454, 272, 454, 345, 454, 273, 454, 529, 3989, 607, 5205, 912, 345, 454, 272, 454, 345, 454, 273, 454, 284, 630, 659, 1107, 476, 536, 323, 264, 1341, 1775, 263, 611, 1341, 27652, 994, 2690, 1383, 267, 630, 274, 1341, 1775, 276, 264, 630, 273, 1341, 1775, 277, 264, 815, 630, 274, 6398, 476, 273, 1107, 476, 276, 6398, 476, 277, 264, 1341, 1775, 263, 274, 6398, 476, 277, 1341, 476, 276, 6398, 476, 273, 264, 815, 1107, 476, 2190, 1341, 1775, 2764, 454, 763, 8691, 540, 1950, 2338, 19299, 519, 1739, 3601, 267, 799, 454, 933, 1533, 1510, 15997, 563, 9217, 264, 634, 19479, 1876, 634, 1587, 540, 1079, 1950, 2338, 568, 513, 1950, 1297, 2676, 1492, 1587, 1990, 454, 272, 454, 345, 454, 273, 454, 529, 513, 1950, 1297, 585, 782, 1950, 2338, 1990, 454, 272, 454, 663, 1990, 454, 273, 454, 563, 23870, 264, 634, 862, 32477, 1876, 1280, 1022, 1079, 1950, 2338, 1990, 454, 272, 454, 663, 1990, 454, 273, 454, 2676, 345, 454, 272, 454, 345, 454, 273, 454, 284, 1990, 454, 273, 454, 345, 454, 272, 454, 563, 31702, 264, 634, 1997, 894, 1876, 1280, 1022, 1614, 1950, 2338, 1990, 454, 272, 454, 267, 1990, 454, 273, 454, 267, 1990, 454, 274, 454, 2676, 18750, 454, 272, 454, 345, 454, 273, 454, 264, 1990, 454, 274, 454, 284, 1990, 454, 272, 454, 18750, 454, 273, 454, 345, 454, 274, 454, 1916, 263, 643, 264, 634, 6228, 540, 3818, 2364, 894, 3961, 1703, 6818, 519, 1950, 1297, 454, 272, 1341, 1775, 476, 271, 630, 6577, 6838, 607, 476, 272, 1070, 476, 1572, 519, 3818, 2364, 894, 3961, 971, 602, 1990, 269, 272, 815, 1990, 2676, 1721, 1169, 1950, 1297, 1990, 563, 17635, 264, 634, 6228, 540, 3818, 2364, 894, 11201, 1280, 1169, 1875, 25179, 1950, 454, 15893, 1990, 815, 513, 1341, 16481, 610, 513, 1341, 1979, 5416, 7790, 476, 271, 267, 536, 7790, 476, 271, 1070, 649, 723, 519, 1950, 1297, 454, 273, 476, 273, 476, 273, 476, 273, 454, 320, 1107, 321, 454, 328, 454, 320, 536, 513, 536, 454, 32504, 266, 30492, 5560, 523, 6838, 676, 454, 272, 454, 345, 454, 528, 1990, 454, 1700, 272, 454, 1070, 1572, 519, 3818, 2364, 894, 11201, 454, 1993, 1990, 971, 602, 454, 272, 454, 272, 1990, 563, 345, 454, 23751, 263, 1492, 3818, 2364, 894, 3961, 1916, 263, 12858, 264, 634, 2733, 5737, 1876, 1280, 1022, 1614, 1950, 2338, 1990, 454, 272, 454, 267, 1990, 454, 273, 454, 267, 1990, 454, 274, 454, 2676, 5416, 264, 476, 1990, 454, 272, 454, 18750, 454, 273, 454, 266, 1990, 454, 274, 454, 264, 815, 1990, 454, 272, 454, 345, 454, 273, 454, 266, 1990, 454, 272, 454, 345, 454, 274, 454, 6357, 264, 476, 630, 345, 454, 272, 454, 266, 1990, 454, 273, 454, 264, 1990, 454, 274, 454, 284, 1990, 454, 272, 454, 345, 454, 274, 454, 266, 1990, 454, 273, 454, 345, 454, 274, 454, 275, 269, 274, 269, 275, 476, 10406, 540, 1079, 1950, 2338, 9717, 1022, 1079, 1950, 2338, 1990, 454, 272, 454, 663, 476, 1990, 454, 273, 454, 2676, 3602, 454, 273, 454, 271, 1990, 7790, 2073, 519, 23479, 454, 272, 454, 273, 454, 345, 454, 345, 454, 529, 3989, 676, 454, 272, 454, 272, 454, 273, 476, 273, 454, 272, 1990, 454, 345, 454, 345, 1990, 454, 23751, 2690, 1383, 267, 1577, 1990, 454, 272, 454, 284, 476, 277, 1341, 476, 274, 328, 543, 476, 1990, 454, 273, 454, 284, 476, 273, 1107, 1775, 454, 10190, 454, 272, 454, 273, 454, 272, 454, 263, 277, 476, 274, 12467, 273, 454, 345, 454, 328, 454, 345, 1775, 454, 286, 15017, 284, 1341, 6398, 454, 286, 15017, 8894, 286, 15017, 284, 630, 3738, 476, 277, 476, 274, 328, 30492, 263, 12467, 263, 12467, 263, 12467, 273, 476, 273, 454, 273, 476, 273, 454, 272, 476, 273, 454, 273, 476, 272, 476, 273, 476, 272, 454, 328, 454, 286, 15017, 268, 20620, 286, 7790, 30492, 286, 15017, 266, 910, 1341, 20620, 286, 15017, 1708, 275, 268, 1839, 454, 23490, 4041, 311, 715, 9331, 289, 8991, 6730, 19532, 4696, 6938, 12087, 661, 12702, 25972, 11434, 476, 8064, 454, 23751, 263, 12467, 273, 454, 277, 476, 274, 454, 276, 454, 328, 454, 328, 454, 266, 7790, 15017, 32504, 286, 15017, 286, 15017, 284, 630, 3738, 630, 12467, 272, 476, 272, 454, 1321, 476, 274, 476, 277, 476, 277, 476, 280, 476, 1321, 454, 276, 476, 276, 454, 328, 1775, 7790, 910, 1341, 1341, 7790, 815, 30492, 286, 15017, 275, 269, 274, 269, 276, 476, 5295, 540, 1775, 476, 649, 917, 602, 454, 263, 12467, 274, 476, 273, 454, 272, 1775, 1775, 1775, 1775, 1775, 815, 815, 910, 815, 910, 31377, 263, 12467, 263, 12467, 273, 454, 273, 454, 275, 476, 273, 454, 272, 476, 272, 1775, 1775, 815, 815, 910, 21591, 263, 12467, 263, 12467, 273, 454, 273, 454, 276, 476, 273, 454, 272, 1775, 1775, 1775, 1775, 1775, 815, 815, 910, 815, 31377, 263, 12467, 263, 12467, 274, 454, 274, 454, 277, 476, 273, 454, 272, 476, 272, 1775, 1775, 815, 815, 910, 815, 910, 2073, 3092, 563, 9827, 267, 649, 723, 454, 272, 476, 273, 454, 273, 454, 272, 476, 272, 476, 272, 454, 267, 476, 272, 2676, 272, 476, 272, 454, 328, 1775, 454, 328, 1775, 1775, 454, 328, 1775, 1775, 454, 268, 20620, 284, 6398, 815, 815, 910, 815, 815, 815, 8894, 268, 910, 692, 274, 476, 275, 454, 274, 476, 275, 454, 272, 476, 272, 476, 272, 476, 272, 454, 267, 476, 272, 454, 272, 476, 272, 454, 328, 1775, 454, 328, 1775, 1775, 454, 328, 1775, 1775, 1775, 454, 268, 20620, 284, 815, 6398, 815, 815, 815, 815, 21591, 8894, 1103, 2489, 267, 585, 1022, 8870, 737, 267, 1775, 454, 275, 330, 454, 284, 476, 272, 267, 1775, 454, 275, 330, 1341, 476, 272, 454, 284, 1775, 267, 1775, 454, 275, 330, 1341, 476, 273, 454, 284, 1107, 272, 267, 1775, 454, 275, 330, 1341, 476, 274, 454, 284, 1107, 1775, 454, 275, 269, 274, 269, 277, 476, 634, 4009, 5072, 540, 513, 2942, 1483, 1297, 454, 9616, 602, 476, 1775, 454, 273, 454, 284, 1107, 272, 543, 476, 630, 1107, 1775, 994, 273, 454, 284, 1775, 454, 273, 454, 284, 1107, 476, 272, 454, 11997, 267, 476, 519, 4009, 5072, 540, 1107, 476, 272, 616, 1775, 267, 1107, 1775, 269, 1717, 267, 676, 519, 3090, 454, 272, 20620, 267, 649, 1131, 454, 11743, 1775, 1152, 563, 3086, 267, 649, 666, 1294, 602, 1775, 543, 1107, 328, 1312, 616, 519, 3435, 540, 519, 3830, 1535, 454, 273, 454, 266, 476, 272, 815, 476, 271, 610, 454, 343, 454, 273, 454, 284, 1107, 272, 563, 20118, 454, 263, 3738, 630, 12467, 273, 476, 273, 454, 274, 476, 274, 1775, 815, 1775, 454, 273, 454, 284, 476, 274, 630, 1700, 476, 272, 264, 815, 1107, 476, 274, 454, 263, 12467, 273, 454, 274, 328, 910, 21591, 263, 12467, 273, 454, 274, 910, 1775, 454, 273, 454, 284, 1107, 476, 274, 454, 11997, 267, 476, 519, 4009, 5072, 540, 1107, 274, 616, 476, 274, 1775, 543, 476, 274, 328, 910, 4586, 26139, 267, 519, 3090, 454, 274, 20620, 529, 5921, 547, 2099, 476, 274, 1775, 1152, 267, 1775, 4318, 1421, 454, 274, 20620, 284, 476, 274, 1775, 4586, 23744, 267, 952, 513, 568, 513, 2318, 1483, 1297, 267, 513, 910, 815, 476, 272, 513, 910, 815, 513, 1775, 31377, 2171, 2907, 917, 602, 513, 536, 6398, 21591, 629, 454, 1721, 782, 2318, 1483, 1297, 513, 543, 536, 269, 901, 454, 14310, 849, 6585, 3020, 950, 2901, 513, 3436, 476, 271, 267, 536, 2999, 476, 271, 476, 610, 513, 2999, 476, 271, 267, 476, 536, 3436, 476, 271, 269, 1548, 952, 513, 2999, 476, 271, 267, 536, 2999, 476, 271, 888, 4131, 721, 4983, 563, 9616, 602, 454, 1708, 275, 268, 1839, 454, 17273, 476, 276, 692, 10602, 11434, 13878, 30388, 454, 6637, 454, 23490, 4041, 311, 715, 9331, 289, 8991, 6730, 454, 310, 269, 681, 269, 16803, 454, 263, 5197, 276, 268, 5908, 276, 994, 341, 12385, 24136, 568, 519, 10348, 540, 7070, 543, 25226, 568, 519, 10348, 540, 454, 12385, 24136, 269, 1107, 21781, 4785, 306, 642, 454, 275, 269, 272, 476, 4985, 454, 1103, 4505, 5049, 267, 649, 723, 6594, 5276, 4834, 538, 835, 454, 663, 1079, 4632, 543, 13392, 4834, 538, 835, 4756, 563, 2171, 723, 2938, 602, 519, 3830, 1535, 454, 273, 454, 266, 476, 272, 815, 476, 271, 814, 1100, 1483, 454, 338, 1828, 607, 1535, 454, 273, 454, 266, 476, 272, 815, 476, 271, 3947, 1535, 454, 273, 454, 284, 1107, 476, 272, 543, 4009, 540, 1169, 454, 9418, 1297, 568, 1875, 24308, 269, 1924, 267, 649, 991, 547, 8831, 519, 454, 9418, 1297, 1062, 547, 513, 3677, 1062, 865, 602, 649, 666, 454, 22772, 519, 3070, 540, 519, 3830, 1535, 454, 273, 454, 284, 1107, 476, 272, 269, 769, 1249, 267, 519, 1292, 454, 984, 11187, 568, 547, 4194, 519, 3830, 4949, 454, 273, 454, 266, 536, 343, 1341, 524, 815, 476, 271, 267, 1141, 454, 291, 815, 536, 454, 273, 454, 1700, 476, 476, 275, 659, 2999, 476, 271, 267, 799, 568, 711, 2009, 538, 519, 1062, 540, 454, 9418, 2338, 563, 275, 269, 273, 476, 13216, 10606, 454, 4131, 721, 20301, 454, 272, 20620, 2421, 519, 3090, 1775, 269, 3973, 267, 649, 723, 454, 273, 454, 272, 1775, 815, 910, 1547, 901, 1797, 602, 1775, 568, 513, 454, 338, 1828, 540, 519, 3830, 1535, 454, 273, 454, 266, 476, 272, 815, 476, 271, 563, 288, 1297, 540, 519, 1106, 513, 1341, 16481, 267, 1141, 513, 543, 536, 616, 1483, 2338, 267, 568, 3989, 547, 581, 513, 454, 1260, 14658, 1297, 269, 1280, 1383, 267, 476, 273, 1341, 1775, 274, 267, 476, 630, 1700, 476, 272, 264, 30492, 274, 1775, 454, 2676, 272, 454, 275, 454, 1556, 454, 328, 454, 268, 7790, 15017, 32504, 286, 15017, 286, 15017, 732, 1950, 2338, 563, 2690, 519, 1950, 1297, 1990, 815, 513, 1341, 16481, 267, 513, 568, 1572, 519, 1483, 851, 267, 20922, 676, 1234, 1990, 543, 454, 321, 568, 1572, 519, 16494, 851, 20922, 676, 1955, 1990, 540, 519, 1950, 1297, 1990, 269, 1280, 1383, 2676, 604, 1990, 815, 476, 273, 1341, 1775, 276, 267, 1287, 1234, 1990, 815, 476, 273, 543, 1955, 1990, 815, 476, 276, 563, 10521, 1950, 2338, 1990, 454, 272, 454, 284, 513, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7678, 269, 6884, 1004, 1174, 741, 5075, 543, 602, 789, 616, 5935, 519, 2344, 1747, 540, 2093, 676, 741, 3616, 25730, 267, 693, 824, 2053, 519, 1268, 568, 23387, 540, 519, 1184, 789, 616, 838, 27681, 269, 634, 24021, 5783, 729, 835, 6249, 540, 713, 1032, 781, 2817, 12815, 832, 13482, 538, 5842, 17630, 267, 11404, 269, 2755, 519, 2093, 540, 519, 24021, 5783, 616, 607, 9867, 607, 519, 5716, 267, 519, 2596, 23350, 568, 602, 519, 2022, 21524, 1716, 5939, 568, 556, 2987, 28124, 3294, 883, 513, 1007, 1106, 269, 634, 3350, 32141, 602, 922, 2792, 2511, 267, 5939, 2497, 543, 18381, 616, 3833, 1114, 689, 519, 2413, 5939, 540, 519, 476, 736, 628, 2540, 269, 1717, 267, 1100, 835, 6487, 2436, 519, 24021, 5783, 786, 3136, 547, 1332, 269, 1703, 616, 12145, 2188, 547, 799, 616, 2693, 3768, 4593, 2642, 827, 519, 3350, 543, 540, 1576, 4834, 676, 1514, 10196, 945, 1353, 4984, 616, 16349, 693, 713, 1448, 269, 2201, 519, 824, 1688, 267, 513, 8468, 607, 1804, 607, 519, 2817, 12815, 832, 10554, 568, 2731, 1932, 2462, 547, 1450, 519, 5939, 547, 581, 14962, 633, 540, 519, 7678, 1256, 952, 519, 17083, 602, 513, 1007, 1106, 540, 519, 5939, 568, 6932, 1159, 2931, 540, 513, 1826, 540, 22979, 602, 568, 2356, 14284, 676, 519, 3350, 607, 513, 2898, 269, 15742, 9880, 540, 29678, 814, 20519, 267, 543, 1141, 519, 2413, 5939, 7550, 30898, 10041, 7158, 689, 519, 6138, 540, 2413, 1143, 267, 649, 616, 547, 1065, 550, 540, 519, 5470, 269, 634, 24021, 5783, 11363, 1373, 8076, 267, 5214, 543, 9758, 267, 799, 616, 782, 5386, 7907, 267, 855, 891, 782, 3717, 827, 513, 18381, 540, 13414, 543, 3006, 607, 4294, 676, 519, 3350, 568, 538, 27171, 547, 602, 540, 27403, 563, 26903, 2986, 634, 24021, 5783, 454, 763, 24021, 5783, 11225, 922, 1582, 607, 513, 1007, 1106, 269, 1323, 540, 339, 1031, 8360, 568, 602, 789, 1616, 547, 10002, 871, 720, 519, 5048, 540, 519, 22258, 269, 634, 2856, 568, 602, 789, 1616, 547, 711, 723, 3388, 23017, 1524, 547, 1614, 2798, 543, 538, 606, 7291, 1106, 269, 634, 1797, 540, 11543, 713, 5551, 4195, 1145, 543, 9758, 605, 17474, 540, 519, 22258, 568, 998, 519, 946, 540, 7499, 9041, 10339, 1833, 267, 3059, 2923, 267, 3860, 11018, 2053, 543, 606, 1620, 540, 519, 2022, 19640, 14820, 563, 763, 7499, 9041, 10339, 1833, 2501, 538, 519, 1106, 540, 4670, 1818, 267, 14364, 267, 2575, 267, 543, 3308, 6575, 269, 634, 2856, 568, 602, 891, 7215, 1118, 519, 5048, 811, 3015, 269, 634, 28005, 976, 4043, 547, 581, 1650, 10213, 269, 9452, 10213, 568, 3006, 4547, 547, 513, 1007, 4463, 267, 711, 1175, 607, 513, 2792, 4480, 267, 855, 606, 4890, 24396, 2990, 269, 630, 1607, 786, 581, 9619, 607, 513, 24396, 3390, 2663, 538, 713, 1957, 4700, 634, 2856, 568, 602, 519, 6426, 568, 1500, 909, 540, 6386, 543, 519, 1614, 15304, 28005, 517, 568, 4914, 547, 519, 3206, 538, 519, 6426, 269, 769, 519, 476, 3192, 271, 338, 267, 519, 21981, 729, 513, 1134, 31465, 2792, 1106, 538, 519, 5939, 602, 556, 10276, 1721, 1027, 519, 840, 2286, 282, 25381, 24023, 781, 840, 2286, 729, 556, 10276, 1721, 1027, 676, 519, 21981, 540, 6833, 787, 4858, 1091, 24849, 269, 9452, 10213, 267, 12383, 267, 543, 1612, 1963, 723, 2141, 1044, 513, 851, 540, 519, 2792, 540, 519, 5939, 269, 898, 1131, 581, 513, 7301, 11984, 547, 2161, 602, 519, 24021, 5783, 568, 519, 5939, 602, 3507, 919, 519, 2239, 269, 634, 24021, 5783, 814, 513, 1305, 540, 3860, 14789, 945, 616, 11589, 519, 22258, 267, 609, 519, 23163, 1106, 540, 9041, 10339, 1833, 1373, 519, 1650, 563, 763, 24021, 5783, 1281, 711, 723, 513, 7944, 593, 519, 3059, 2923, 2344, 538, 519, 5939, 269, 634, 865, 10777, 2413, 5939, 814, 7270, 543, 5295, 8672, 13472, 6881, 267, 855, 519, 2413, 5939, 781, 7270, 616, 811, 899, 5907, 2156, 577, 999, 269, 634, 24021, 5783, 568, 1454, 811, 7376, 1227, 10427, 267, 20248, 21295, 267, 543, 7317, 269, 1635, 3059, 2923, 1373, 7317, 267, 519, 7270, 723, 19180, 18044, 2923, 14245, 543, 519, 5304, 666, 2022, 8292, 610, 2055, 593, 519, 3135, 269, 634, 24021, 5783, 814, 15754, 585, 519, 18756, 543, 10319, 10721, 6163, 540, 519, 5752, 543, 7260, 2872, 5159, 269, 589, 6366, 3919, 538, 799, 519, 5159, 616, 6444, 585, 741, 20519, 267, 711, 513, 6101, 2990, 4371, 563, 763, 24021, 5783, 786, 5531, 538, 1007, 2081, 543, 538, 1007, 4025, 269, 589, 1507, 1895, 949, 5531, 693, 513, 13962, 585, 513, 7594, 543, 723, 513, 6426, 5530, 1318, 693, 519, 3349, 269, 2311, 824, 2621, 267, 519, 5790, 8942, 547, 708, 10028, 513, 10060, 321, 15085, 282, 669, 545, 2575, 267, 2571, 23107, 267, 7678, 344, 7718, 267, 543, 3638, 6995, 269, 630, 2005, 568, 16168, 602, 538, 519, 476, 2735, 271, 338, 5939, 2371, 782, 5795, 909, 519, 14869, 548, 1826, 6189, 538, 3870, 540, 10026, 1153, 12899, 11623, 1317, 1483, 10040, 1705, 711, 2339, 607, 1454, 607, 1004, 4700, 634, 10732, 6640, 10847, 3028, 949, 581, 8719, 676, 513, 13628, 3781, 11018, 269, 634, 1292, 2680, 949, 581, 513, 2899, 1032, 10554, 2864, 982, 513, 12353, 11018, 563, 11754, 7675, 634, 5403, 19640, 9650, 454, 2467, 616, 10416, 1079, 4485, 547, 519, 2022, 19640, 2247, 267, 835, 568, 547, 5431, 621, 607, 513, 3196, 538, 519, 2528, 799, 568, 18808, 609, 1210, 519, 1482, 2645, 602, 513, 4413, 328, 6048, 3096, 547, 2232, 513, 4914, 2528, 267, 519, 824, 1935, 568, 547, 9784, 1454, 610, 1034, 540, 519, 2022, 19640, 6138, 269, 634, 1101, 1935, 5654, 693, 519, 2022, 19640, 2528, 607, 606, 4316, 547, 1174, 1004, 1141, 789, 616, 269, 7316, 519, 2022, 19640, 2528, 568, 538, 6876, 609, 519, 5048, 540, 27403, 267, 519, 22258, 28034, 8942, 547, 13865, 1125, 519, 5048, 267, 602, 568, 267, 4766, 543, 2491, 519, 22258, 538, 15520, 4143, 2474, 269, 7316, 519, 2022, 19640, 2528, 2269, 903, 689, 519, 5168, 540, 27403, 267, 2057, 5348, 4038, 2065, 3450, 269, 14271, 4038, 2065, 3450, 568, 950, 835, 3138, 4680, 519, 9759, 540, 519, 5048, 540, 5168, 676, 6220, 2609, 689, 519, 2528, 602, 616, 711, 538, 6876, 609, 519, 5132, 269, 634, 1101, 1935, 547, 519, 2022, 19640, 2528, 1281, 711, 3801, 547, 5862, 519, 4605, 1932, 3897, 267, 855, 12034, 519, 4161, 543, 5088, 806, 519, 4305, 693, 1688, 282, 840, 778, 519, 5168, 540, 519, 22258, 609, 1893, 543, 23199, 799, 2232, 519, 12271, 540, 519, 1004, 269, 634, 2034, 1935, 676, 519, 24021, 5783, 568, 547, 2965, 9772, 267, 585, 519, 1034, 851, 267, 519, 2022, 19640, 26336, 269, 2755, 9444, 1346, 945, 3180, 519, 6138, 540, 2413, 1143, 6862, 1346, 945, 3180, 519, 6138, 540, 2022, 19640, 1143, 666, 3409, 741, 338, 568, 519, 19978, 1448, 540, 2070, 267, 972, 616, 930, 538, 519, 24021, 5783, 799, 1131, 538, 9759, 9772, 519, 2022, 19640, 2990, 607, 519, 19978, 5943, 563, 763, 1670, 30142, 1431, 2986, 5403, 19640, 1143, 19768, 22410, 454, 13146, 3778, 2986, 16241, 5899, 1057, 769, 3013, 454, 1103, 519, 2038, 3368, 540, 519, 476, 5002, 271, 338, 267, 519, 5939, 538, 3013, 1185, 513, 1297, 540, 29559, 269, 634, 2093, 540, 12666, 8567, 941, 538, 1082, 952, 711, 1034, 1292, 1467, 29559, 269, 6997, 1564, 547, 4766, 1346, 3330, 543, 3544, 519, 3350, 2919, 269, 634, 811, 12666, 3786, 4433, 264, 941, 1572, 2413, 626, 267, 12666, 610, 2663, 29724, 268, 2180, 13454, 269, 8409, 538, 519, 811, 15061, 13122, 616, 5258, 883, 519, 4909, 1235, 610, 27685, 25025, 269, 2311, 519, 1981, 540, 936, 13678, 680, 2305, 267, 713, 1957, 786, 10691, 3801, 547, 10646, 1063, 782, 519, 14726, 855, 2241, 2489, 1125, 883, 1079, 12415, 282, 12666, 543, 15061, 269, 1635, 15061, 594, 798, 711, 1611, 2797, 11122, 2510, 267, 855, 1346, 945, 1131, 3801, 547, 11677, 519, 9238, 540, 519, 5132, 269, 901, 1007, 12666, 1826, 540, 8567, 1705, 711, 3801, 547, 3715, 1007, 29559, 610, 7249, 2958, 725, 267, 855, 6140, 8057, 1369, 519, 1292, 1467, 29559, 269, 634, 1671, 5224, 7521, 1063, 12666, 8567, 609, 811, 15061, 8567, 729, 936, 519, 9238, 540, 519, 5132, 543, 621, 729, 519, 11122, 2510, 945, 1128, 580, 730, 519, 7521, 676, 543, 1804, 269, 8409, 945, 941, 513, 851, 540, 12666, 8567, 941, 6297, 547, 711, 2769, 741, 2093, 2047, 547, 519, 4636, 15624, 865, 607, 547, 1832, 741, 7694, 543, 941, 1543, 547, 3461, 569, 4001, 741, 29625, 689, 1369, 519, 5939, 269, 4706, 711, 602, 789, 1705, 711, 4001, 741, 29625, 267, 922, 602, 789, 6854, 741, 6486, 2673, 547, 741, 9221, 865, 607, 547, 581, 2111, 547, 1404, 519, 1655, 1688, 269, 645, 1245, 7575, 941, 1500, 950, 519, 1981, 729, 1970, 267, 811, 9793, 7158, 941, 6829, 950, 1981, 729, 2362, 269, 634, 11122, 2510, 941, 519, 3283, 25194, 519, 7521, 543, 12394, 547, 3142, 856, 519, 2152, 267, 1419, 538, 1193, 1211, 18565, 602, 771, 523, 325, 13361, 2213, 1004, 609, 513, 29916, 602, 17947, 2184, 8864, 543, 524, 643, 1006, 269, 634, 7521, 729, 827, 519, 9238, 540, 519, 5132, 282, 519, 6392, 540, 27403, 267, 519, 25976, 540, 2441, 267, 519, 6228, 540, 22946, 267, 543, 519, 8129, 540, 519, 1480, 5198, 269, 634, 1267, 729, 602, 519, 11122, 2510, 676, 543, 1804, 2451, 519, 4540, 5238, 547, 519, 12666, 15712, 543, 4646, 741, 1378, 15061, 29559, 267, 15061, 5033, 514, 2456, 267, 15061, 5692, 8041, 543, 15061, 7249, 2958, 725, 269, 2755, 891, 9840, 2919, 936, 513, 1297, 540, 1296, 267, 11122, 2510, 5555, 5433, 7142, 547, 2721, 3007, 547, 519, 2152, 543, 957, 269, 23225, 2221, 616, 3181, 908, 2436, 12666, 8567, 568, 1318, 610, 4636, 267, 585, 519, 1034, 851, 282, 5391, 5644, 616, 6854, 538, 741, 7944, 543, 11122, 2510, 538, 741, 338, 269, 1717, 267, 538, 15061, 29559, 972, 2919, 606, 6514, 693, 519, 4098, 540, 513, 2250, 528, 781, 18591, 547, 2327, 519, 11134, 585, 18591, 740, 12742, 547, 519, 9238, 540, 519, 5132, 269, 2561, 30068, 267, 1991, 547, 519, 12666, 8957, 15061, 7521, 519, 6514, 585, 519, 18591, 5059, 593, 606, 4835, 2631, 540, 1289, 269, 5637, 12666, 543, 15061, 10709, 532, 10457, 585, 18591, 1223, 2769, 513, 2631, 540, 1289, 563, 1103, 513, 5094, 1650, 1899, 267, 1507, 2516, 540, 10271, 21256, 945, 1185, 1100, 12030, 1049, 30901, 269, 1452, 2516, 941, 3006, 27685, 673, 543, 693, 824, 2053, 4909, 1235, 267, 855, 789, 4941, 547, 1246, 2696, 269, 16200, 3401, 945, 1185, 1100, 12477, 547, 606, 3544, 21000, 1588, 2356, 3366, 891, 2516, 269, 634, 2856, 729, 547, 711, 1205, 647, 22486, 883, 513, 21000, 1588, 269, 769, 519, 11157, 625, 267, 1022, 1507, 10943, 5793, 2516, 602, 941, 9013, 610, 1185, 11705, 337, 1400, 5470, 941, 13042, 513, 1381, 269, 7442, 5505, 945, 7463, 538, 6313, 513, 10943, 5793, 1895, 781, 3450, 543, 20392, 741, 1951, 935, 1014, 2853, 21256, 547, 4831, 519, 1082, 1507, 3392, 338, 269, 1635, 543, 1804, 519, 1505, 540, 4831, 532, 741, 3450, 729, 547, 1445, 593, 519, 9238, 540, 519, 5132, 899, 519, 25976, 540, 2441, 543, 519, 27076, 269, 630, 1607, 849, 729, 1031, 1996, 3677, 3392, 338, 899, 519, 26599, 976, 610, 8614, 327, 990, 1695, 781, 654, 5893, 525, 945, 1705, 711, 6529, 547, 519, 9238, 540, 519, 5132, 4700, 769, 9759, 972, 729, 606, 796, 334, 24810, 1592, 540, 1346, 945, 941, 513, 851, 540, 930, 824, 3376, 22597, 6003, 543, 1346, 945, 941, 711, 269, 1703, 616, 11320, 699, 513, 1297, 540, 3376, 22597, 10297, 1031, 282, 519, 27685, 673, 5939, 267, 31249, 8567, 267, 610, 8978, 8567, 563, 13146, 715, 1638, 2305, 2986, 634, 31283, 540, 10055, 1464, 454, 763, 24021, 5783, 568, 606, 856, 29115, 540, 513, 2647, 3099, 540, 13039, 269, 1403, 519, 18591, 568, 519, 1267, 540, 10943, 5793, 532, 267, 621, 568, 1419, 606, 3390, 540, 2511, 610, 606, 3390, 3823, 1379, 269, 1809, 519, 1034, 540, 519, 942, 267, 10943, 5793, 1131, 581, 606, 936, 8063, 618, 269, 589, 9602, 6028, 585, 513, 1114, 28379, 568, 519, 1034, 1455, 6609, 540, 519, 2680, 269, 3509, 538, 519, 24021, 5783, 267, 899, 519, 1357, 3135, 966, 17448, 18321, 630, 4178, 18192, 17448, 17304, 603, 2593, 264, 14751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 586, 25435, 568, 1547, 1924, 4729, 519, 1448, 586, 14289, 693, 630, 271, 267, 3738, 780, 8196, 891, 10288, 8424, 547, 3113, 519, 3830, 780, 1892, 8571, 513, 11282, 7077, 563, 1892, 18140, 519, 2798, 630, 273, 267, 476, 271, 264, 543, 630, 271, 267, 12467, 1892, 8571, 513, 1899, 998, 891, 2798, 780, 763, 1899, 3830, 3113, 780, 307, 2464, 2316, 300, 2177, 24361, 306, 454, 834, 296, 1616, 547, 2995, 596, 602, 938, 1053, 1705, 1134, 593, 519, 2979, 981, 543, 4951, 513, 6825, 6454, 602, 267, 538, 1250, 16759, 267, 10630, 519, 3318, 1646, 519, 12200, 4607, 689, 596, 269, 8946, 3198, 298, 9358, 8627, 10590, 4873, 4446, 32200, 834, 7312, 3135, 568, 5863, 256, 898, 5280, 803, 1205, 998, 10789, 1701, 8176, 834, 7069, 8250, 3096, 621, 547, 7110, 1200, 10789, 476, 272, 1153, 960, 269, 2701, 9060, 621, 1360, 5363, 1701, 8355, 3212, 848, 454, 570, 933, 1115, 676, 7711, 4118, 338, 4486, 25346, 1260, 692, 27309, 16739, 286, 700, 4953, 2475, 670, 5085, 303, 563, 15439, 8359, 513, 1489, 4781, 808, 302, 2562, 2475, 10396, 912, 4118, 338, 4486, 2593, 568, 711, 28337, 609, 1022, 21629, 267, 3883, 3382, 267, 7170, 267, 8191, 4408, 2408, 585, 4704, 1152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4131, 779, 1413, 1631, 585, 519, 14802, 19066, 2404, 609, 18494, 815, 476, 275, 269, 17817, 630, 295, 269, 7871, 2020, 11377, 8218, 15204, 2410, 331, 2410, 278, 1535, 266, 274, 586, 7807, 14433, 1535, 348, 8607, 2715, 274, 1535, 266, 278, 586, 7807, 14433, 586, 4153, 754, 15204, 15732, 560, 650, 6585, 267, 855, 1100, 3476, 1281, 621, 1413, 899, 1079, 4834, 538, 1614, 26968, 985, 267, 1317, 649, 616, 1631, 5461, 538, 519, 2013, 18494, 815, 476, 275, 1384, 11377, 8218, 15204, 2410, 331, 2410, 278, 1535, 266, 274, 586, 284, 275, 1535, 348, 8607, 2715, 274, 1535, 266, 278, 586, 284, 275, 586, 4153, 754, 15204, 15732, 16729, 938, 9224, 3947, 692, 11377, 8218, 15204, 2410, 331, 2410, 274, 1535, 266, 274, 586, 284, 271, 348, 8607, 2715, 274, 1535, 266, 274, 586, 284, 271, 4153, 754, 15204, 15732, 663, 950, 649, 1294, 713, 938, 2295, 1236, 2354, 513, 10726, 610, 1079, 269, 1547, 1547, 513, 632, 2102, 4733, 1062, 540, 4834, 256, 4039, 1314, 543, 1964, 707, 2295, 269, 901, 1062, 814, 606, 12808, 1297, 540, 3435, 543, 621, 779, 9277, 547, 723, 606, 12808, 1297, 540, 3435, 267, 1317, 1022, 2789, 540, 606, 14802, 19066, 568, 849, 606, 14802, 19066, 269, 634, 14802, 27523, 2404, 609, 18494, 815, 476, 275, 616, 1022, 2789, 540, 692, 7445, 3847, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 268, 272, 4153, 754, 15204, 4153, 2431, 1040, 6911, 2304, 7357, 26922, 3406, 585, 519, 14802, 27523, 2404, 609, 18494, 815, 476, 1015, 9060, 1022, 2789, 540, 692, 7445, 3847, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 272, 4153, 754, 15204, 4153, 2431, 1040, 6911, 2162, 570, 573, 3539, 909, 692, 2171, 723, 519, 1079, 5036, 540, 14802, 27523, 267, 855, 799, 4927, 649, 1289, 6695, 1002, 3189, 10400, 346, 328, 3686, 262, 2330, 543, 799, 6695, 1002, 3189, 10400, 346, 328, 3686, 262, 2330, 286, 901, 568, 513, 2339, 540, 1367, 3903, 267, 855, 1250, 3903, 568, 2356, 547, 1118, 519, 7004, 581, 513, 10047, 630, 23719, 8086, 264, 998, 513, 1507, 2318, 5086, 269, 3776, 1007, 267, 9053, 11282, 1062, 568, 1644, 547, 519, 3312, 10974, 676, 513, 2241, 10047, 540, 476, 3393, 334, 952, 649, 3442, 692, 7445, 1002, 3189, 10400, 346, 328, 3686, 17353, 18905, 18098, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 3847, 7268, 8218, 15204, 2410, 322, 2410, 272, 348, 8607, 2715, 272, 4153, 754, 15204, 4153, 2431, 264, 1422, 15153, 1422, 3667, 2715, 543, 7684, 1422, 15153, 1422, 1002, 3189, 10400, 346, 329, 3686, 17353, 18905, 18098, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 3847, 7268, 8218, 15204, 2410, 322, 2410, 268, 272, 348, 8607, 2715, 272, 4153, 754, 15204, 4153, 2431, 1040, 6911, 263, 9616, 602, 649, 723, 849, 968, 7538, 1242, 519, 4493, 5608, 1775, 4318, 269, 5697, 519, 4493, 10321, 547, 723, 9588, 9322, 4700, 9717, 713, 3903, 267, 519, 26667, 10047, 5119, 602, 2242, 10974, 689, 519, 3312, 547, 519, 9053, 1062, 568, 630, 5408, 3830, 670, 269, 2004, 2020, 7445, 9507, 346, 289, 18098, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 3847, 7268, 8218, 15204, 2410, 764, 2410, 272, 348, 1299, 2715, 272, 348, 8607, 2715, 268, 272, 348, 1299, 2715, 272, 4153, 754, 15204, 4153, 2431, 22491, 663, 519, 15497, 1242, 5119, 630, 528, 267, 811, 5265, 267, 519, 6041, 540, 519, 5119, 538, 519, 9053, 11282, 1062, 264, 568, 692, 7445, 3847, 7268, 8218, 15204, 2410, 764, 2410, 1015, 348, 1299, 2715, 271, 348, 8607, 2715, 271, 348, 1299, 2715, 275, 4153, 754, 15204, 4153, 2431, 1040, 6911, 2791, 1810, 1406, 3494, 803, 286, 3973, 9062, 856, 692, 259, 289, 13375, 7268, 8218, 15204, 2410, 961, 2410, 278, 348, 1299, 2715, 274, 348, 8607, 2715, 274, 348, 1299, 2715, 278, 4153, 754, 15204, 4153, 2431, 264, 645, 17353, 323, 16925, 10592, 663, 1294, 585, 3054, 780, 2162, 10819, 692, 295, 269, 1691, 9046, 281, 4144, 21192, 1125, 513, 476, 273, 6398, 476, 273, 5119, 692, 13312, 21192, 1125, 519, 5119, 692, 7445, 3847, 7268, 8218, 15204, 2410, 961, 2410, 2918, 348, 1299, 2715, 1321, 348, 8607, 2715, 1321, 348, 1299, 2715, 866, 4153, 754, 15204, 4153, 2431, 1040, 6911, 320, 269, 4855, 922, 27744, 780, 321, 269, 4855, 922, 14802, 27523, 267, 543, 13182, 602, 789, 616, 26667, 780, 322, 269, 28220, 519, 14802, 27523, 267, 543, 3313, 519, 4191, 543, 5311, 1034, 10375, 585, 26471, 17887, 269, 630, 6546, 568, 267, 1058, 519, 1101, 14802, 19066, 596, 1336, 581, 1572, 6695, 1002, 3189, 10400, 346, 328, 3686, 262, 18079, 3230, 268, 1422, 1002, 3189, 10400, 346, 328, 3686, 262, 18079, 610, 6695, 1002, 3189, 10400, 346, 329, 3686, 262, 2330, 286, 2020, 323, 269, 4855, 519, 5119, 602, 18922, 689, 519, 3355, 4493, 547, 519, 4493, 540, 14802, 27523, 3812, 538, 851, 630, 322, 4700, 780, 324, 269, 7638, 1518, 602, 519, 5119, 3812, 538, 851, 630, 323, 4700, 568, 26667, 780, 325, 269, 7638, 1518, 602, 519, 6041, 540, 519, 5119, 1657, 538, 519, 4493, 540, 14802, 27523, 568, 15497, 780, 326, 269, 630, 18893, 1308, 4700, 1548, 568, 519, 10047, 5086, 2496, 295, 269, 1428, 9046, 281, 661, 3394, 11161, 540, 513, 476, 273, 6398, 476, 273, 5119, 692, 17004, 602, 519, 27744, 540, 692, 7445, 3847, 7268, 8218, 15204, 2410, 961, 2410, 320, 348, 1299, 2715, 321, 348, 8607, 2715, 321, 348, 1299, 2715, 322, 4153, 754, 15204, 4153, 2431, 22491, 732, 692, 7445, 14433, 7807, 2765, 346, 272, 2410, 273, 4153, 3847, 27007, 320, 25239, 264, 1422, 10975, 1422, 6912, 18950, 320, 2275, 22722, 273, 15396, 275, 536, 3867, 273, 14990, 2431, 316, 6911, 15152, 1018, 6381, 568, 606, 14802, 7407, 1950, 12595, 286, 7201, 1018, 6381, 616, 519, 1079, 27744, 519, 1482, 2496, 295, 269, 1626, 9046, 281, 4144, 21192, 1125, 513, 476, 274, 6398, 476, 274, 5119, 692, 13312, 21192, 1125, 519, 5119, 692, 7445, 2765, 346, 272, 2410, 27698, 4153, 3847, 7268, 8218, 15204, 2410, 764, 322, 2410, 14093, 273, 348, 1299, 2715, 268, 280, 2190, 348, 1299, 2715, 25851, 348, 8607, 2715, 268, 280, 2190, 348, 1299, 2715, 5038, 274, 348, 1299, 2715, 24798, 348, 8607, 2715, 25851, 348, 1299, 2715, 24798, 348, 1299, 2715, 268, 276, 4037, 4153, 754, 15204, 4153, 2431, 22491, 320, 269, 4855, 922, 27744, 676, 6029, 602, 519, 8984, 3830, 568, 692, 7445, 14433, 3867, 274, 18511, 273, 1422, 14433, 3867, 273, 18511, 276, 1422, 14433, 266, 277, 284, 7268, 14433, 268, 274, 264, 7268, 14433, 266, 273, 264, 7268, 14433, 268, 272, 6661, 271, 6911, 321, 269, 4855, 922, 14802, 27523, 267, 543, 13182, 602, 789, 616, 26667, 780, 322, 269, 8058, 602, 519, 8144, 5119, 666, 581, 6074, 547, 581, 692, 7445, 9507, 346, 289, 18098, 2765, 346, 272, 2410, 1839, 4153, 3847, 7268, 8218, 15204, 2410, 764, 322, 2410, 736, 348, 1299, 2715, 268, 1428, 348, 1299, 2715, 271, 348, 8607, 2715, 280, 348, 1299, 2715, 1321, 348, 1299, 2715, 268, 736, 348, 8607, 2715, 1321, 348, 1299, 2715, 1626, 348, 1299, 2715, 1428, 4153, 754, 15204, 4153, 2431, 22491, 3963, 1705, 594, 946, 519, 8360, 968, 1492, 8144, 5119, 666, 581, 6074, 547, 581, 892, 2864, 1287, 968, 1492, 8144, 5119, 568, 892, 2496, 295, 269, 1704, 9046, 281, 589, 476, 274, 6398, 476, 274, 5119, 14802, 2889, 12378, 692, 8340, 519, 27744, 543, 2404, 14802, 27523, 585, 519, 5119, 692, 7445, 3847, 7268, 8218, 15204, 2410, 961, 331, 2410, 272, 348, 1299, 2715, 273, 348, 1299, 2715, 274, 348, 8607, 2715, 273, 348, 1299, 2715, 274, 348, 1299, 2715, 275, 348, 8607, 2715, 274, 348, 1299, 2715, 275, 348, 1299, 2715, 276, 4153, 754, 15204, 4153, 2431, 1040, 6911, 1012, 670, 269, 280, 589, 16145, 693, 2780, 6620, 692, 12179, 821, 945, 814, 5249, 1256, 835, 540, 519, 2042, 538, 3296, 670, 269, 279, 6487, 602, 15497, 1944, 513, 5119, 568, 1100, 17552, 5371, 281, 972, 779, 513, 2603, 540, 27217, 12980, 3238, 543, 621, 779, 1360, 2653, 547, 1118, 9073, 269, 901, 568, 513, 1966, 22691, 585, 2780, 3070, 269, 2290, 779, 1101, 2219, 568, 547, 1982, 513, 2780, 547, 4194, 519, 1966, 1210, 519, 1482, 4480, 602, 649, 1031, 547, 4194, 621, 593, 1957, 281, 1101, 1265, 519, 27744, 998, 519, 8984, 3830, 267, 1287, 1265, 519, 14802, 27523, 998, 513, 632, 2102, 4733, 1305, 540, 5276, 4834, 780, 1607, 7140, 856, 547, 581, 513, 1360, 4057, 5690, 585, 13128, 19106, 269, 634, 2500, 5690, 568, 547, 3442, 513, 5119, 645, 971, 602, 519, 1055, 26817, 21192, 2609, 540, 692, 7445, 9507, 346, 289, 5723, 8703, 268, 272, 10592, 732, 4130, 982, 519, 1055, 26817, 21192, 2609, 540, 589, 269, 3973, 3442, 1776, 267, 543, 1776, 269, 3619, 998, 713, 1184, 1586, 543, 1586, 2394, 519, 1055, 26817, 21192, 2609, 723, 1044, 2666, 1524, 547, 3684, 4642, 269, 1703, 616, 1082, 2994, 585, 7446, 519, 3126, 540, 645, 14290, 269, 1452, 616, 1134, 17393, 8282, 538, 1022, 7160, 540, 31592, 31204, 269, 275, 692, 2691, 596, 991, 547, 15497, 1125, 14290, 6746, 1227, 267, 594, 20882, 596, 547, 1413, 693, 31592, 31204, 547, 1294, 1018, 779, 2469, 593, 267, 855, 594, 20882, 596, 711, 547, 3009, 891, 6620, 3054, 269, 1452, 6620, 7048, 538, 606, 1898, 1259, 593, 519, 1249, 602, 2780, 12980, 568, 16977, 2864, 982, 3169, 267, 543, 8754, 789, 616, 3833, 16602, 547, 2936, 269, 5502, 540, 8193, 519, 6620, 3054, 267, 594, 4363, 602, 596, 946, 519, 30582, 538, 2901, 700, 4338, 19272, 276, 630, 1492, 12430, 10789, 623, 19272, 720, 264, 610, 661, 3041, 303, 19272, 269, 277, 1452, 15004, 616, 4440, 519, 20923, 2780, 3301, 2479, 2854, 267, 543, 789, 616, 1863, 269, 1358, 666, 581, 5833, 998, 519, 968, 10817, 728, 547, 12232, 19556, 12229, 892, 630, 294, 4456, 306, 264, 693, 5291, 2517, 326, 4461, 8542, 626, 10993, 780, 1012, 670, 269, 1015, 589, 16145, 693, 1875, 1606, 2096, 13240, 14290, 543, 519, 16888, 1106, 692, 6624, 540, 519, 14290, 602, 8451, 538, 3156, 616, 21136, 543, 8754, 519, 2164, 540, 519, 3105, 6810, 616, 519, 1152, 3283, 2877, 269, 1809, 1169, 2899, 538, 513, 1247, 596, 798, 7237, 513, 1875, 1606, 2096, 13240, 5119, 543, 713, 3296, 3947, 596, 513, 3391, 547, 8156, 873, 269, 898, 568, 1175, 606, 4367, 543, 13000, 1152, 476, 273, 6398, 476, 273, 14290, 780, 11693, 513, 1875, 1606, 2096, 13240, 5119, 267, 519, 1101, 3364, 547, 798, 568, 17967, 519, 17887, 547, 1118, 519, 5119, 6041, 21083, 267, 607, 5941, 538, 1966, 670, 269, 1321, 1384, 7445, 3847, 7268, 8218, 15204, 2410, 961, 2410, 320, 348, 1299, 2715, 321, 348, 8607, 2715, 271, 348, 1299, 2715, 322, 4153, 754, 15204, 4153, 2431, 1040, 6911, 9616, 602, 536, 6695, 928, 336, 2330, 476, 271, 1317, 6382, 519, 5119, 1131, 581, 21136, 543, 649, 1131, 2907, 581, 2944, 269, 769, 713, 2013, 10321, 593, 519, 1535, 14289, 616, 14802, 27523, 1317, 692, 7445, 3847, 7268, 8218, 15204, 2410, 961, 2410, 320, 348, 1299, 2715, 321, 348, 8607, 2715, 271, 348, 1299, 2715, 322, 4153, 754, 15204, 4153, 2431, 9385, 3847, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 271, 4153, 754, 15204, 4153, 2431, 6661, 320, 13375, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 271, 4153, 754, 15204, 4153, 2431, 1040, 6911, 6701, 972, 1022, 824, 14802, 27523, 286, 634, 3830, 692, 7445, 3847, 7268, 8218, 15204, 2410, 961, 2410, 320, 348, 1299, 2715, 321, 348, 8607, 2715, 271, 348, 1299, 2715, 322, 4153, 754, 15204, 4153, 2431, 9385, 3847, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 271, 4153, 754, 15204, 4153, 2431, 6661, 320, 13375, 7268, 8218, 15204, 2410, 331, 2410, 272, 348, 8607, 2715, 271, 4153, 754, 15204, 4153, 2431, 22491, 339, 20635, 721, 602, 692, 17961, 25410, 348, 513, 1535, 17070, 586, 1299, 7807, 14433, 1535, 8607, 524, 586, 1299, 7807, 14433, 586, 1422, 754, 25410, 10926, 15290, 576, 6695, 331, 31243, 1422, 928, 336, 524, 2330, 543, 519, 14802, 19066, 814, 8701, 5086, 16564, 1141, 692, 7445, 11927, 1422, 9064, 7807, 2765, 26231, 8584, 2410, 321, 20467, 6911, 9616, 602, 952, 524, 815, 513, 630, 1492, 968, 19592, 523, 4733, 892, 2013, 281, 1312, 27744, 616, 519, 1482, 264, 1287, 16564, 815, 476, 271, 610, 16564, 815, 12631, 269, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 7003, 3890, 1599, 1031, 585, 12673, 7024, 513, 1297, 540, 3197, 8659, 676, 519, 7440, 563, 2745, 2891, 955, 268, 519, 7003, 1599, 476, 955, 268, 5602, 5320, 815, 1412, 2421, 7055, 2745, 12759, 27182, 11723, 24105, 815, 1412, 7055, 2745, 12759, 263, 24105, 11723, 328, 318, 600, 815, 1412, 296, 32075, 332, 7055, 2745, 12759, 9217, 318, 600, 11723, 258, 5564, 559, 710, 12673, 454, 2745, 2891, 955, 268, 5564, 559, 710, 12673, 476, 955, 268, 5602, 20123, 328, 18118, 815, 15981, 18118, 1948, 272, 454, 18118, 1948, 273, 18411, 2745, 12759, 9852, 738, 328, 18118, 4917, 258, 2503, 547, 723, 1341, 272, 585, 1142, 15865, 1422, 333, 692, 258, 6677, 22760, 908, 12673, 454, 2745, 2891, 955, 268, 6677, 22760, 908, 12673, 476, 955, 268, 5602, 1598, 272, 815, 1412, 29582, 7055, 1598, 273, 815, 1412, 3698, 7055, 2745, 19304, 272, 1341, 1193, 273, 2020, 258, 18187, 908, 12673, 454, 2745, 2891, 955, 268, 18187, 908, 12673, 476, 955, 268, 5602, 1598, 272, 815, 1412, 31435, 7055, 2745, 263, 274, 265, 1598, 272, 264, 1948, 1482, 607, 1193, 272, 2608, 476, 274, 1317, 556, 4124, 568, 862, 32477, 454, 258, 8074, 281, 30246, 14726, 540, 519, 1657, 12427, 616, 849, 10858, 585, 12673, 22791, 284, 543, 2608, 284, 1040, 0, 258, 6083, 1846, 616, 2338, 602, 814, 8918, 851, 454, 2745, 2891, 15615, 1297, 24333, 476, 1321, 269, 4097, 994, 2745, 2891, 16269, 666, 581, 2942, 24333, 910, 276, 269, 19740, 994, 2745, 2891, 604, 519, 8870, 851, 568, 476, 271, 596, 666, 9631, 2466, 621, 630, 604, 596, 1616, 2567, 2580, 1547, 6507, 275, 267, 910, 269, 3445, 272, 264, 1948, 24323, 568, 1521, 621, 607, 10581, 454, 2745, 2891, 604, 519, 8918, 851, 568, 476, 271, 596, 666, 9631, 2466, 621, 630, 604, 596, 1616, 2567, 2580, 476, 5780, 1421, 910, 280, 4700, 1948, 24323, 621, 568, 1521, 621, 607, 10581, 454, 0, 12163, 2691, 5124, 2115, 1022, 1362, 270, 15953, 547, 581, 4843, 607, 513, 5569, 454, 263, 1584, 1154, 606, 1843, 607, 606, 4661, 538, 519, 1820, 3890, 1599, 1045, 6327, 13352, 713, 2783, 264, 621, 13290, 547, 1045, 5803, 513, 1505, 3957, 6449, 1598, 1029, 3890, 689, 519, 1843, 543, 547, 946, 519, 5569, 621, 7024, 563, 12163, 5035, 4347, 5435, 10031, 825, 1780, 7531, 5035, 10060, 912, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 17098, 594, 6415, 513, 3399, 5016, 454, 323, 815, 4347, 5435, 4590, 338, 815, 10060, 10797, 2745, 5560, 994, 2745, 4433, 264, 0, 12163, 23911, 274, 11225, 476, 8287, 3710, 2987, 17756, 267, 543, 782, 540, 873, 1106, 513, 454, 29728, 11057, 15796, 267, 4352, 519, 3529, 568, 513, 3787, 20868, 607, 922, 3597, 568, 4092, 593, 1283, 780, 26015, 2750, 4003, 454, 18077, 506, 23708, 3590, 2750, 527, 454, 18077, 506, 23708, 6206, 4580, 11328, 4533, 454, 18077, 498, 23708, 1401, 4003, 454, 18077, 480, 567, 2340, 498, 506, 23708, 28759, 454, 18077, 480, 567, 2340, 498, 480, 454, 18077, 480, 567, 2340, 498, 506, 23708, 2667, 1068, 542, 13286, 454, 18077, 480, 567, 2340, 498, 480, 454, 18077, 480, 567, 2340, 498, 506, 23708, 15350, 13286, 19930, 1948, 513, 6405, 9868, 6659, 950, 606, 5106, 3112, 581, 6192, 1813, 547, 513, 3668, 540, 1863, 3965, 454, 18077, 480, 567, 2340, 498, 480, 567, 2340, 498, 498, 23708, 3683, 6503, 13286, 672, 1948, 513, 6405, 9868, 6659, 950, 606, 5106, 7472, 513, 1297, 1932, 2462, 547, 581, 6707, 6740, 454, 18077, 480, 567, 2340, 498, 480, 3097, 18077, 480, 567, 2340, 498, 498, 23708, 9208, 13286, 454, 18077, 480, 567, 2340, 498, 480, 567, 2340, 498, 498, 23708, 7383, 13286, 11434, 1948, 513, 6405, 9868, 6659, 950, 606, 1104, 5106, 14543, 454, 18077, 480, 567, 2340, 498, 480, 454, 18077, 480, 567, 2340, 498, 506, 23708, 589, 761, 1337, 13286, 454, 18077, 480, 567, 2340, 498, 480, 567, 2340, 498, 498, 23708, 20023, 19667, 1707, 13286, 454, 18077, 480, 567, 2340, 498, 480, 567, 2340, 498, 498, 23708, 3683, 6503, 13286, 672, 1948, 513, 6405, 9868, 6659, 950, 606, 5106, 7472, 513, 1297, 1932, 2462, 547, 581, 6707, 6740, 454, 18077, 480, 567, 2340, 498, 480, 454, 18077, 480, 567, 2340, 498, 498, 23708, 6733, 1575, 13286, 454, 18077, 480, 11434, 2340, 498, 498, 23708, 12039, 13286, 454, 18077, 480, 11434, 2340, 498, 498, 23708, 6206, 13286, 16875, 1948, 513, 6405, 9868, 6659, 950, 596, 2119, 547, 1569, 513, 4015, 781, 1875, 7721, 11962, 3693, 630, 324, 3052, 1421, 513, 8675, 781, 3693, 994, 13718, 825, 20023, 19667, 1707, 13286, 568, 513, 2027, 2013, 540, 811, 513, 2489, 9868, 1362, 3957, 25226, 13286, 3248, 825, 25226, 13286, 568, 513, 2027, 2013, 540, 513, 811, 2489, 9868, 1362, 3957, 1175, 1401, 4003, 3248, 825, 1401, 4003, 568, 513, 2027, 2013, 540, 513, 811, 2489, 1362, 3957, 12476, 2750, 4003, 3248, 12163, 339, 787, 912, 825, 586, 815, 476, 272, 1315, 476, 271, 454, 21955, 25226, 13286, 281, 1948, 8074, 602, 649, 723, 8719, 20023, 19667, 1707, 13286, 609, 25226, 13286, 563, 825, 1820, 2891, 302, 17274, 335, 1087, 338, 907, 23528, 825, 1948, 476, 25226, 13286, 568, 513, 2489, 1362, 1519, 630, 600, 784, 1866, 264, 519, 20023, 19667, 1707, 13286, 9868, 692, 258, 1411, 666, 7936, 513, 20023, 19667, 1707, 13286, 855, 621, 786, 2760, 581, 6603, 581, 659, 2224, 9226, 3217, 519, 1101, 6474, 454, 258, 585, 602, 2601, 621, 568, 30074, 547, 1747, 1808, 17756, 693, 519, 1917, 1456, 7531, 258, 31641, 310, 912, 258, 4849, 630, 684, 4067, 264, 543, 4849, 12476, 2750, 4003, 616, 519, 1482, 0, 258, 3621, 10035, 15381, 288, 343, 1015, 18898, 3518, 289, 267, 1383, 281, 476, 273, 343, 1015, 317, 275, 815, 476, 1220, 876, 454, 258, 538, 9226, 912, 2745, 263, 273, 324, 275, 264, 1948, 1820, 17838, 3621, 10035, 547, 8918, 692, 258, 9338, 12569, 302, 302, 302, 267, 4063, 602, 3621, 10035, 5932, 513, 18919, 302, 2969, 1297, 454, 258, 849, 596, 666, 946, 5580, 661, 454, 258, 849, 596, 666, 946, 2942, 2338, 912, 2745, 263, 273, 292, 268, 275, 2020, 258, 4746, 519, 20800, 630, 333, 3518, 289, 264, 2115, 547, 581, 606, 8870, 454, 258, 3490, 630, 333, 3518, 288, 264, 10790, 312, 581, 606, 8870, 454, 0, 258, 1284, 1131, 899, 547, 581, 1808, 543, 723, 606, 1808, 3009, 585, 1142, 9868, 912, 258, 5124, 2636, 721, 547, 7936, 519, 17756, 912, 258, 672, 2119, 912, 258, 1363, 1948, 3009, 3009, 4429, 258, 672, 4849, 2012, 8170, 763, 2750, 4003, 272, 912, 258, 16875, 1948, 3009, 585, 9868, 476, 272, 454, 258, 672, 4849, 2012, 8170, 763, 2750, 4003, 273, 912, 258, 16875, 1948, 3009, 585, 9868, 476, 273, 454, 258, 11434, 4586, 258, 11434, 4586, 258, 11434, 4586, 258, 672, 4849, 2012, 8170, 763, 2750, 4003, 311, 912, 258, 16875, 1948, 3009, 585, 9868, 2473, 454, 258, 672, 4849, 912, 258, 16875, 1948, 2063, 18992, 454, 258, 5124, 2488, 930, 17161, 547, 6023, 17756, 267, 5265, 281, 2119, 543, 4849, 692, 339, 787, 281, 1948, 2119, 2367, 553, 834, 1410, 31146, 713, 543, 952, 1945, 4523, 979, 2047, 547, 519, 4849, 4840, 825, 1101, 10831, 815, 703, 9272, 2891, 5575, 1297, 281, 27328, 825, 2034, 10831, 815, 703, 9272, 2891, 13553, 1297, 281, 27328, 825, 6498, 815, 1101, 10831, 1315, 2034, 10831, 454, 825, 1820, 5560, 643, 1707, 994, 21955, 28759, 912, 825, 1820, 19629, 333, 744, 302, 4916, 256, 602, 781, 711, 606, 8870, 1297, 5602, 21955, 20023, 19667, 1707, 13286, 912, 825, 1820, 19629, 333, 11534, 338, 649, 666, 10691, 546, 1882, 676, 476, 271, 602, 781, 711, 21453, 538, 2979, 5602, 21955, 6206, 4580, 11328, 4533, 912, 825, 1820, 19629, 333, 15528, 21411, 594, 3893, 596, 267, 596, 723, 547, 4734, 267, 676, 324, 676, 324, 5602, 258, 4063, 602, 513, 3803, 2489, 4849, 630, 18365, 3139, 7936, 270, 2254, 4142, 545, 12184, 9868, 994, 258, 568, 711, 16601, 855, 538, 930, 2665, 596, 1810, 1405, 917, 782, 540, 519, 2009, 17756, 2676, 258, 865, 596, 949, 1616, 547, 946, 621, 543, 2161, 834, 302, 3591, 256, 1945, 1838, 525, 5016, 258, 21673, 606, 9868, 547, 581, 6659, 952, 596, 616, 711, 7829, 621, 0, 258, 12673, 666, 581, 3989, 1210, 5595, 10530, 610, 2582, 10530, 692, 258, 9338, 12569, 596, 666, 946, 17784, 5595, 10530, 912, 2745, 2891, 3269, 31435, 454, 16447, 1250, 454, 4067, 454, 672, 568, 1100, 324, 3269, 5602, 258, 607, 596, 666, 1294, 17784, 5595, 10530, 1095, 13996, 1007, 3515, 454, 2745, 2891, 2280, 781, 2119, 26444, 5976, 713, 26444, 810, 596, 26444, 4754, 1294, 5602, 258, 594, 1031, 513, 1394, 1793, 1662, 693, 519, 1439, 547, 2995, 9226, 594, 993, 11173, 519, 5569, 538, 519, 1899, 2630, 267, 621, 568, 711, 513, 9101, 1915, 454, 0, 258, 8913, 1255, 616, 5311, 602, 616, 1799, 583, 1963, 454, 3240, 6958, 1009, 4671, 340, 921, 815, 630, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 994, 258, 8913, 1255, 616, 3989, 609, 2385, 4185, 454, 24105, 4671, 340, 921, 815, 630, 994, 258, 1207, 340, 340, 583, 267, 596, 666, 1711, 513, 24042, 609, 1152, 862, 553, 912, 1278, 4671, 340, 921, 815, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 454, 2745, 2891, 1278, 4671, 340, 921, 284, 2580, 824, 4671, 340, 921, 2020, 258, 8913, 1255, 609, 835, 3693, 616, 3989, 609, 513, 26893, 693, 519, 1439, 540, 519, 2189, 1871, 912, 20791, 4671, 340, 921, 815, 630, 1015, 267, 994, 534, 1278, 318, 20777, 318, 3118, 815, 476, 3445, 2676, 2745, 2891, 534, 1278, 318, 20777, 318, 3118, 284, 2580, 1776, 318, 20777, 318, 3118, 994, 258, 1317, 952, 596, 798, 10691, 946, 602, 26893, 621, 786, 581, 5701, 607, 513, 22185, 912, 2745, 263, 1826, 263, 630, 2537, 267, 264, 3738, 12467, 2745, 263, 1826, 263, 630, 2537, 264, 3738, 25589, 258, 2094, 8913, 1255, 616, 1799, 17014, 596, 666, 711, 12575, 630, 26303, 267, 18419, 264, 606, 6221, 454, 258, 825, 519, 7003, 3890, 1599, 24693, 8913, 1255, 267, 543, 7024, 519, 1297, 540, 2609, 8659, 3330, 3248, 258, 825, 519, 1341, 11346, 666, 6443, 8913, 1255, 1927, 630, 933, 4312, 3254, 596, 713, 2907, 994, 258, 825, 519, 2608, 11346, 666, 9062, 8913, 1255, 267, 1175, 899, 8638, 3248, 258, 825, 519, 538, 543, 711, 538, 12427, 960, 538, 519, 1482, 1259, 607, 538, 8638, 780, 12534, 815, 476, 11277, 692, 339, 272, 815, 630, 272, 267, 12467, 339, 273, 815, 630, 273, 267, 12467, 339, 274, 815, 630, 274, 267, 15254, 2020, 339, 272, 267, 512, 273, 267, 512, 274, 815, 512, 273, 267, 512, 274, 267, 512, 272, 692, 2745, 6025, 272, 267, 512, 273, 267, 512, 274, 2020, 333, 823, 4671, 340, 921, 815, 630, 273, 267, 276, 267, 277, 264, 2608, 476, 274, 1948, 713, 786, 1711, 21450, 630, 2254, 1614, 264, 2462, 24042, 912, 2745, 3799, 823, 4671, 340, 921, 994, 258, 14253, 532, 2553, 616, 12873, 0, 2745, 2891, 24934, 531, 2338, 666, 581, 1031, 630, 2745, 17838, 12354, 531, 606, 15279, 2338, 547, 8918, 264, 2580, 476, 271, 334, 2641, 264, 1948, 476, 271, 334, 2641, 630, 24934, 531, 284, 815, 476, 1704, 630, 20657, 2711, 1070, 4642, 266, 12072, 522, 266, 15893, 476, 271, 334, 2641, 454, 2745, 2891, 28411, 2338, 24333, 476, 271, 343, 1321, 264, 1948, 476, 271, 343, 1321, 630, 28411, 264, 815, 476, 1240, 630, 20657, 2711, 994, 2745, 2891, 343, 543, 522, 666, 581, 5580, 2013, 24333, 476, 271, 302, 2641, 267, 476, 271, 311, 1321, 2020, 0, 258, 634, 1297, 268, 11415, 7503, 568, 2241, 267, 607, 621, 568, 2141, 2009, 269, 898, 781, 2944, 676, 513, 1599, 3957, 1193, 4590, 842, 19571, 815, 476, 1724, 454, 15615, 19571, 815, 476, 272, 269, 274, 454, 338, 842, 815, 1193, 17301, 19571, 994, 338, 15615, 815, 1193, 263, 15615, 19571, 2020, 2745, 4433, 842, 1341, 1412, 1412, 1341, 521, 15615, 2020, 258, 5569, 5991, 3784, 568, 2009, 950, 543, 1152, 950, 519, 5569, 4564, 513, 4570, 1297, 563, 258, 1403, 519, 2783, 568, 711, 1558, 267, 2503, 513, 28759, 9868, 563, 11415, 318, 842, 815, 1412, 1724, 7055, 11415, 318, 15615, 815, 1412, 272, 269, 274, 7055, 626, 2590, 815, 703, 30415, 318, 842, 994, 325, 11415, 815, 10581, 30415, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 476, 2420, 7325, 476, 1708, 275, 267, 476, 2420, 281, 2537, 898, 568, 4867, 476, 2420, 7325, 476, 1708, 275, 267, 476, 2420, 281, 2537, 454, 307, 944, 18145, 454, 29479, 11833, 11545, 16721, 454, 14188, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 454, 8253, 5461, 538, 3478, 3407, 2259, 2055, 543, 4930, 9447, 547, 707, 4757, 286, 3143, 1966, 267, 5667, 889, 18285, 1934, 780, 258, 769, 875, 1082, 1114, 2081, 267, 666, 513, 16455, 2824, 513, 2319, 540, 476, 274, 5716, 856, 692, 306, 18306, 15760, 912, 30475, 912, 17004, 16193, 454, 295, 728, 16193, 454, 12421, 454, 16274, 281, 476, 6021, 5463, 476, 1001, 278, 454, 15803, 281, 476, 279, 454, 302, 1233, 918, 16997, 19560, 476, 7761, 1496, 280, 2639, 11693, 918, 16997, 281, 476, 2767, 454, 29262, 454, 16274, 281, 476, 2764, 7325, 476, 1001, 277, 454, 15803, 281, 476, 15686, 278, 454, 302, 1233, 918, 16997, 19560, 476, 11260, 273, 1496, 273, 2639, 11693, 918, 16997, 281, 476, 6858, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 16010, 267, 5274, 8249, 454, 18662, 338, 281, 4959, 289, 1412, 1240, 630, 291, 994, 294, 5183, 281, 476, 274, 269, 9032, 454, 25446, 281, 19061, 5004, 630, 20059, 618, 30914, 994, 29262, 454, 16274, 281, 476, 1321, 4924, 476, 1001, 276, 454, 15803, 281, 476, 11793, 271, 454, 302, 1233, 918, 16997, 19560, 476, 21327, 279, 1496, 271, 2639, 11693, 918, 16997, 281, 476, 6507, 454, 29479, 11833, 26499, 454, 16274, 281, 476, 6734, 4239, 476, 1001, 274, 454, 288, 742, 8270, 725, 281, 15434, 1188, 19723, 4472, 454, 15803, 281, 476, 5392, 272, 276, 454, 302, 1233, 918, 16997, 19560, 476, 4281, 272, 275, 1496, 272, 2639, 11693, 918, 16997, 281, 476, 21854, 454, 19613, 281, 3127, 454, 3725, 281, 769, 875, 1082, 1114, 2081, 267, 666, 513, 16455, 2824, 513, 2319, 540, 476, 274, 5716, 856, 1496, 258, 21529, 2639, 272, 454, 20132, 454, 288, 2319, 540, 476, 274, 5716, 2115, 547, 581, 5697, 538, 799, 3627, 568, 9090, 2469, 547, 581, 972, 269, 1924, 267, 3927, 267, 1152, 1079, 5716, 723, 547, 581, 5697, 689, 476, 280, 5716, 780, 10831, 540, 2081, 540, 8939, 4888, 312, 476, 273, 5716, 856, 540, 476, 280, 5716, 815, 3230, 280, 318, 290, 318, 273, 2330, 815, 476, 280, 2608, 476, 279, 1315, 476, 273, 815, 476, 3607, 2081, 563, 763, 2953, 2626, 4781, 568, 661, 780, 8170, 562, 3615, 267, 952, 678, 3615, 723, 547, 581, 5697, 971, 602, 2048, 343, 685, 3615, 1058, 2141, 581, 513, 851, 540, 519, 5542, 267, 519, 1297, 540, 2081, 540, 3257, 713, 815, 30967, 333, 14870, 264, 318, 290, 318, 263, 337, 14870, 14638, 454, 28775, 602, 2337, 2336, 13043, 7169, 17918, 26189, 528, 454, 16274, 281, 476, 1626, 4119, 476, 1001, 276, 454, 15803, 281, 476, 6200, 3374, 454, 302, 1233, 918, 16997, 19560, 476, 10204, 3393, 1496, 271, 2639, 11693, 918, 16997, 281, 476, 275, 454, 29479, 476, 272, 281, 476, 31318, 1627, 7906, 966, 5655, 454, 294, 5183, 281, 476, 274, 269, 11025, 454, 3725, 281, 769, 875, 1082, 1114, 2081, 267, 666, 513, 16455, 2824, 513, 2319, 540, 476, 274, 5716, 856, 1496, 258, 21529, 2639, 2171, 1810, 1405, 723, 547, 2824, 3627, 267, 607, 646, 786, 581, 2141, 593, 519, 2319, 780, 763, 6967, 476, 273, 5716, 786, 581, 5697, 856, 540, 476, 280, 2139, 5716, 281, 3230, 317, 280, 346, 290, 318, 273, 348, 815, 476, 3607, 2330, 0, 7775, 1058, 594, 2328, 713, 607, 16174, 2463, 547, 1535, 1152, 538, 1250, 1383, 780, 259, 337, 317, 273, 24210, 317, 273, 20742, 317, 273, 20939, 315, 23976, 20939, 315, 2765, 18097, 337, 2410, 11459, 18098, 2765, 2715, 343, 2410, 337, 23180, 2765, 26635, 2410, 337, 4153, 2765, 346, 11276, 2410, 11459, 10592, 259, 343, 284, 337, 315, 6523, 24592, 20939, 315, 23976, 15848, 284, 20142, 315, 6523, 24592, 20939, 315, 23976, 20939, 315, 2765, 18097, 337, 2410, 11459, 18098, 2765, 346, 476, 272, 7346, 6523, 24592, 18098, 2765, 346, 337, 2410, 343, 10592, 7445, 23976, 20939, 315, 2765, 346, 337, 2410, 343, 18098, 2765, 2715, 343, 2410, 337, 23180, 2765, 26635, 2410, 337, 4153, 2765, 346, 11276, 2410, 11459, 10592, 7445, 23976, 20939, 315, 2765, 346, 11276, 2410, 11459, 18098, 3847, 7268, 2765, 346, 337, 2410, 343, 32757, 2765, 12757, 2410, 337, 4153, 2431, 9385, 2765, 346, 337, 2410, 344, 10592, 259, 344, 284, 337, 315, 7562, 24592, 259, 543, 1269, 343, 284, 337, 315, 6523, 24592, 6911, 7445, 23976, 20939, 315, 2765, 346, 11276, 2410, 11459, 18098, 3847, 7268, 2765, 346, 337, 2410, 343, 32757, 2765, 12757, 2410, 337, 4153, 2431, 9385, 2765, 346, 337, 2410, 344, 348, 815, 1422, 2765, 346, 337, 317, 273, 2410, 337, 317, 273, 1422, 6523, 24592, 1422, 7562, 24592, 32757, 2765, 3189, 6523, 24592, 7346, 7562, 24592, 18098, 11927, 24592, 6911, 2252, 596, 616, 1210, 17697, 15285, 267, 602, 568, 1114, 689, 9864, 15285, 267, 543, 596, 991, 513, 3787, 811, 1384, 17961, 9387, 15857, 261, 1535, 815, 678, 315, 6523, 1422, 9064, 8607, 1422, 23976, 1299, 476, 272, 815, 1422, 13320, 18097, 337, 2410, 11459, 4153, 6523, 1422, 9064, 910, 678, 1422, 7562, 1422, 9064, 1422, 13320, 18097, 24592, 2410, 11459, 348, 8607, 1422, 23976, 1299, 1422, 13320, 18097, 337, 2410, 11459, 348, 815, 1422, 13320, 346, 272, 7346, 6523, 24592, 15396, 337, 315, 11927, 1422, 9064, 1422, 13320, 18097, 24592, 2410, 11459, 4153, 754, 9387, 265, 10926, 4517, 596, 2907, 723, 519, 824, 4542, 1384, 7445, 13320, 18097, 337, 2410, 11459, 348, 815, 1422, 13320, 12757, 2410, 337, 348, 1341, 1422, 13320, 26635, 2410, 337, 4153, 13320, 346, 11276, 2410, 11459, 10592, 3086, 267, 596, 666, 1305, 891, 3160, 547, 1142, 824, 267, 855, 596, 4465, 1405, 1205, 4399, 11927, 1422, 9064, 16859, 31171, 281, 1809, 1269, 344, 815, 678, 315, 7562, 1422, 9064, 815, 678, 315, 7562, 24592, 1422, 13320, 3189, 6523, 24592, 7346, 6523, 24592, 348, 815, 678, 315, 6523, 24592, 1422, 11927, 24592, 815, 1535, 315, 11927, 1422, 9064, 16859, 17843, 11868, 649, 1205, 4399, 13320, 346, 11276, 2410, 11459, 348, 815, 1422, 11927, 1422, 9064, 1341, 1535, 315, 5913, 317, 273, 24592, 1422, 13320, 18097, 24592, 2410, 11459, 10592, 306, 6295, 585, 4399, 13320, 18097, 24592, 2410, 11459, 20954, 649, 1205, 4399, 13320, 18097, 24592, 2410, 11459, 348, 815, 1422, 13320, 3189, 6523, 317, 273, 24592, 2410, 343, 348, 1422, 13320, 346, 11276, 2410, 11459, 348, 910, 1422, 13320, 3189, 7562, 24592, 1422, 6523, 1422, 9064, 2410, 343, 10592, 3086, 267, 596, 666, 11690, 602, 538, 1384, 17961, 9387, 265, 4153, 13320, 18097, 337, 2410, 11459, 348, 1299, 815, 1422, 13320, 346, 272, 7346, 6523, 24592, 15396, 337, 315, 11927, 1422, 9064, 1422, 13320, 18097, 24592, 2410, 11459, 348, 8607, 1299, 815, 1422, 13320, 346, 272, 7346, 6523, 24592, 15396, 337, 315, 11927, 1422, 9064, 13375, 7268, 13320, 3189, 6523, 317, 273, 24592, 2410, 343, 348, 1422, 13320, 346, 11276, 2410, 11459, 348, 910, 1422, 13320, 3189, 7562, 24592, 1422, 6523, 1422, 9064, 2410, 343, 4153, 2431, 9385, 754, 9387, 265, 10926, 3086, 267, 4259, 1346, 3160, 267, 596, 666, 4194, 585, 4399, 13320, 346, 11276, 2410, 11459, 31859, 31171, 476, 273, 281, 1809, 267, 4259, 1346, 3160, 1175, 11729, 519, 3961, 4399, 6523, 317, 273, 24592, 1341, 1422, 7562, 317, 273, 24592, 815, 476, 272, 16859, 12552, 267, 594, 993, 711, 3843, 547, 946, 17697, 15285, 269, 594, 1175, 2119, 547, 1318, 621, 856, 538, 519, 1259, 621, 1118, 2631, 780, 296, 917, 538, 9864, 15285, 267, 594, 1152, 946, 835, 540, 2901, 1535, 610, 586, 607, 513, 4756, 538, 13551, 10974, 267, 543, 946, 2901, 678, 610, 4399, 9064, 259, 538, 8701, 10974, 269, 3973, 1521, 519, 824, 4756, 607, 3586, 269, 2334, 781, 519, 2601, 912, 7445, 2765, 3189, 14783, 346, 337, 24828, 14783, 2715, 343, 3686, 7807, 2765, 12757, 2410, 337, 23180, 2765, 26635, 2410, 337, 4153, 2765, 3189, 14783, 26635, 12453, 1422, 14783, 12757, 348, 7684, 7807, 2765, 12757, 2410, 337, 4153, 282, 259, 1141, 4399, 282, 315, 2765, 3189, 14783, 26635, 24828, 14783, 2715, 343, 3686, 284, 476, 271, 20939, 259, 607, 586, 568, 5701, 607, 3586, 780, 1692, 1058, 594, 2328, 621, 952, 594, 1616, 547, 1521, 4399, 282, 315, 2765, 3189, 14783, 26635, 24828, 14783, 2715, 343, 3686, 284, 1422, 11927, 24592, 20939, 259, 2496, 28989, 267, 594, 1175, 6743, 909, 1955, 14032, 15285, 799, 594, 29709, 267, 11716, 1250, 2063, 2022, 780, 3719, 1586, 267, 689, 1250, 2063, 1383, 267, 621, 568, 2312, 4399, 2765, 18097, 337, 2410, 11459, 18098, 2765, 346, 337, 2410, 343, 18098, 2765, 346, 272, 7346, 6523, 24592, 4151, 585, 8701, 10260, 7149, 780, 23192, 17397, 676, 21142, 271, 3374, 275, 454, 12552, 267, 594, 993, 711, 3843, 547, 946, 17697, 15285, 269, 594, 1175, 2119, 547, 1318, 621, 856, 538, 519, 1259, 621, 1118, 2631, 780, 296, 917, 538, 9864, 15285, 267, 594, 1152, 946, 835, 540, 2901, 1535, 610, 586, 607, 513, 4756, 538, 13551, 10974, 267, 543, 946, 2901, 678, 610, 4399, 9064, 259, 538, 8701, 10974, 269, 3973, 1521, 519, 824, 4756, 607, 3586, 269, 2334, 781, 519, 2601, 912, 7445, 2765, 3189, 14783, 346, 337, 24828, 14783, 2715, 343, 3686, 7807, 2765, 12757, 2410, 337, 23180, 2765, 26635, 2410, 337, 4153, 2765, 3189, 14783, 26635, 12453, 1422, 14783, 12757, 348, 7684, 7807, 2765, 12757, 2410, 337, 4153, 282, 259, 1141, 4399, 282, 315, 2765, 3189, 14783, 26635, 24828, 14783, 2715, 343, 3686, 284, 476, 271, 20939, 259, 607, 586, 568, 5701, 607, 3586, 780, 1692, 1058, 594, 2328, 621, 952, 594, 1616, 547, 1521, 4399, 282, 315, 2765, 3189, 14783, 26635, 24828, 14783, 2715, 343, 3686, 284, 1422, 11927, 24592, 20939, 259, 2496, 2791, 991, 547, 1521, 4399, 9064, 259, 607, 513, 3586, 952, 596, 1616, 4399, 13320, 3189, 14783, 586, 7346, 14783, 1535, 348, 815, 1422, 11927, 24592, 16859, 23192, 17397, 676, 6215, 760, 292, 4156, 454, 2791, 991, 547, 1521, 4399, 9064, 259, 607, 513, 3586, 952, 596, 1616, 4399, 13320, 3189, 14783, 586, 7346, 14783, 1535, 348, 815, 1422, 11927, 24592, 259, 563, 296, 1174, 713, 267, 607, 621, 1058, 581, 780, 3719, 267, 865, 2484, 267, 952, 596, 946, 9864, 15285, 267, 596, 1205, 4399, 2765, 3189, 14783, 678, 7346, 14783, 1535, 18098, 2765, 2715, 343, 2410, 337, 20954, 596, 946, 17697, 15285, 267, 4399, 2765, 3189, 14783, 678, 7346, 14783, 1535, 4153, 928, 336, 21702, 2715, 272, 7346, 6523, 24592, 23201, 1924, 1018, 12596, 666, 581, 4294, 538, 1250, 1383, 286, 1215, 798, 594, 1205, 547, 4399, 2765, 3189, 14783, 678, 7346, 14783, 1535, 18098, 2765, 2715, 337, 2410, 343, 10592, 296, 973, 515, 22486, 707, 9708, 269, 594, 1810, 1405, 1174, 1018, 1383, 596, 1611, 269, 1703, 729, 1100, 1383, 2016, 269, 901, 2898, 8142, 4667, 547, 581, 13991, 547, 3843, 547, 1265, 2241, 12596, 585, 519, 16755, 540, 519, 1689, 540, 10974, 12596, 950, 596, 3180, 1978, 4632, 3586, 780, 23192, 17397, 676, 6215, 760, 292, 4156, 454, 296, 973, 515, 22486, 707, 9708, 269, 594, 1810, 1405, 1174, 1018, 1383, 596, 1611, 269, 1703, 729, 1100, 1383, 2016, 269, 901, 2898, 8142, 4667, 547, 581, 13991, 547, 3843, 547, 1265, 2241, 12596, 585, 519, 16755, 540, 519, 1689, 540, 10974, 12596, 950, 596, 3180, 1978, 4632, 3586, 563, 296, 993, 13288, 547, 2022, 1948, 278, 1141, 594, 1705, 711, 4368, 519, 23940, 780, 26139, 267, 7064, 585, 782, 707, 948, 269, 1411, 616, 519, 1152, 835, 602, 948, 803, 713, 1454, 865, 2484, 856, 540, 519, 476, 274, 15473, 594, 11540, 780, 11039, 267, 952, 596, 4368, 4399, 9064, 8961, 1287, 4399, 13320, 3189, 14783, 586, 7346, 14783, 1535, 348, 815, 1422, 11927, 1422, 9064, 10608, 1403, 4399, 9064, 259, 568, 476, 2568, 5232, 630, 553, 596, 6700, 1070, 1287, 4399, 13320, 3189, 14783, 586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1336, 8885, 6340, 547, 1004, 7247, 594, 917, 547, 581, 11215, 540, 803, 543, 1250, 960, 267, 827, 713, 2680, 269, 1403, 594, 2048, 332, 8956, 762, 267, 594, 1589, 602, 594, 1705, 713, 856, 540, 6161, 585, 8885, 267, 3079, 982, 585, 519, 1434, 540, 519, 1382, 269, 1306, 621, 5828, 856, 267, 513, 1164, 829, 1298, 636, 540, 891, 1004, 1705, 2048, 14179, 2863, 17621, 2048, 741, 17157, 547, 22937, 547, 713, 2680, 269, 1656, 15029, 594, 2048, 332, 4313, 539, 602, 1875, 16764, 602, 594, 12038, 547, 3357, 547, 519, 2680, 267, 621, 568, 7543, 547, 26256, 1125, 267, 540, 1346, 602, 1705, 1629, 334, 909, 267, 799, 941, 5963, 5461, 538, 519, 3390, 693, 812, 639, 888, 265, 634, 1641, 540, 3972, 543, 22371, 14626, 3660, 267, 23344, 7938, 9231, 569, 267, 609, 513, 2101, 10721, 23072, 269, 2311, 602, 1448, 267, 8806, 1978, 5520, 941, 3051, 344, 547, 519, 3330, 1217, 725, 540, 519, 23072, 543, 789, 1185, 1142, 9896, 513, 22637, 1620, 269, 6736, 519, 1655, 8942, 547, 2226, 519, 23072, 5728, 18562, 267, 7058, 729, 678, 1057, 2429, 519, 7245, 1107, 6140, 1813, 547, 519, 4137, 540, 9972, 5234, 945, 1185, 1044, 21235, 28998, 585, 1870, 23829, 268, 639, 783, 2534, 269, 10558, 693, 519, 7046, 6611, 2680, 941, 1312, 5234, 945, 1185, 9896, 519, 1620, 543, 5234, 945, 1185, 1875, 269, 10801, 519, 2680, 972, 729, 513, 15889, 2631, 540, 972, 1373, 1079, 18085, 517, 906, 1107, 23344, 519, 2048, 29006, 538, 519, 917, 2048, 18085, 517, 618, 729, 3648, 519, 4130, 540, 519, 1079, 269, 1879, 1004, 941, 18995, 3972, 543, 22371, 267, 594, 3494, 602, 267, 538, 930, 2665, 267, 713, 3390, 3576, 2013, 538, 1448, 936, 519, 3390, 602, 594, 1185, 9709, 547, 1382, 269, 769, 519, 4125, 906, 540, 9322, 609, 2543, 547, 7046, 6611, 18562, 267, 594, 8359, 1875, 547, 1900, 538, 610, 2119, 547, 11653, 2126, 547, 519, 1641, 693, 812, 639, 269, 1403, 4376, 267, 594, 3494, 602, 713, 7000, 513, 1007, 10155, 540, 2048, 8145, 582, 8864, 2048, 547, 7584, 7258, 17157, 267, 12808, 543, 7245, 269, 901, 1448, 786, 581, 20991, 12649, 538, 519, 2048, 29171, 15664, 540, 1382, 4681, 2048, 30834, 1707, 630, 547, 1246, 3738, 4586, 265, 1306, 594, 2689, 519, 27592, 602, 594, 2813, 585, 519, 7046, 6611, 2680, 267, 594, 666, 1294, 606, 6654, 14882, 602, 594, 11129, 547, 3180, 17774, 3166, 543, 10294, 689, 519, 4098, 269, 3733, 8367, 689, 519, 4098, 540, 713, 679, 11431, 814, 1044, 602, 6902, 585, 782, 540, 519, 2640, 543, 13418, 602, 649, 17589, 689, 11397, 14379, 11653, 902, 267, 649, 2628, 513, 13075, 1871, 538, 3723, 902, 540, 513, 6175, 538, 3972, 543, 22371, 1369, 938, 2695, 6758, 269, 594, 1589, 602, 594, 1223, 3180, 1500, 713, 811, 6829, 538, 519, 27592, 269, 4014, 267, 594, 729, 1928, 560, 1136, 538, 1011, 21899, 713, 1282, 519, 26813, 540, 519, 2291, 550, 2680, 563, 265, 4014, 519, 27592, 547, 1491, 851, 538, 519, 7046, 6611, 2680, 729, 4652, 770, 2989, 547, 782, 5234, 267, 2731, 1906, 1875, 31193, 5234, 13984, 269, 901, 12651, 28780, 827, 630, 513, 3738, 519, 2407, 1145, 540, 519, 1382, 4681, 267, 630, 645, 3738, 519, 6708, 547, 799, 1875, 31193, 5234, 1745, 23518, 547, 22937, 538, 971, 606, 2680, 267, 543, 630, 4110, 17622, 3738, 519, 6708, 547, 799, 1875, 31193, 5234, 3972, 519, 7245, 7899, 547, 1995, 2922, 7899, 547, 1582, 16162, 29148, 593, 971, 513, 3760, 563, 265, 634, 7046, 6611, 2680, 3576, 1283, 4919, 1448, 693, 835, 540, 519, 1698, 583, 5604, 1196, 881, 525, 269, 901, 8850, 16934, 519, 13557, 540, 519, 7245, 2048, 338, 7936, 5234, 269, 11088, 267, 713, 12651, 28780, 827, 519, 2407, 1145, 540, 519, 1382, 4681, 269, 901, 568, 513, 15116, 26878, 11047, 1317, 7936, 5234, 616, 7357, 882, 5050, 2390, 11397, 14379, 11653, 902, 585, 3384, 543, 5329, 3347, 609, 1071, 22086, 619, 538, 10361, 8433, 543, 2429, 519, 30834, 1707, 1357, 269, 901, 16310, 6799, 606, 4960, 18562, 585, 513, 2104, 1382, 1107, 2048, 534, 679, 11431, 883, 519, 12343, 540, 11397, 14379, 11653, 902, 593, 11397, 4600, 2048, 2073, 5342, 998, 519, 5420, 540, 11397, 14379, 11653, 902, 1107, 552, 3052, 269, 1357, 14373, 563, 10932, 28454, 630, 9296, 10968, 12467, 306, 11970, 476, 272, 270, 6828, 476, 272, 454, 30206, 13445, 270, 7726, 454, 14881, 1589, 649, 782, 538, 5728, 899, 2324, 538, 3623, 334, 689, 1142, 824, 1107, 798, 596, 3180, 610, 8428, 1107, 543, 952, 865, 267, 4208, 286, 9232, 454, 23087, 540, 12474, 454, 265, 8786, 1107, 2324, 538, 3623, 334, 3947, 596, 513, 2631, 540, 5191, 454, 265, 8786, 1107, 2324, 538, 3623, 334, 8041, 602, 596, 666, 798, 1999, 5209, 811, 6385, 630, 3006, 621, 2048, 338, 1732, 547, 1118, 1945, 543, 865, 1217, 1004, 602, 596, 2048, 557, 2944, 621, 12467, 265, 8786, 1107, 547, 1489, 1996, 824, 2695, 6758, 945, 616, 538, 4652, 770, 2989, 6735, 609, 721, 454, 265, 8786, 1107, 3733, 6663, 616, 782, 2582, 267, 594, 798, 562, 1406, 3180, 17157, 547, 581, 2048, 974, 18081, 2048, 543, 9585, 1250, 6663, 563, 265, 8786, 1107, 898, 2048, 338, 12863, 454, 265, 8786, 1107, 1411, 1875, 6534, 602, 6073, 454, 265, 8786, 1107, 6382, 596, 1439, 909, 609, 1999, 5209, 676, 10243, 454, 265, 8786, 1107, 7454, 6073, 547, 10536, 8622, 8540, 585, 519, 1434, 960, 596, 2048, 557, 2944, 454, 265, 3143, 1107, 898, 2048, 338, 1732, 547, 6712, 4555, 543, 1451, 689, 824, 1004, 270, 2695, 6758, 454, 265, 3143, 1107, 634, 15557, 14847, 4293, 265, 23616, 3634, 602, 596, 1058, 960, 607, 513, 27805, 543, 3444, 1922, 4233, 958, 454, 265, 3143, 1107, 898, 5012, 547, 936, 2000, 777, 543, 896, 2000, 777, 454, 265, 3143, 1107, 835, 540, 519, 5980, 2048, 338, 2418, 568, 2048, 11529, 1927, 2048, 454, 265, 3143, 1107, 634, 960, 602, 2048, 338, 1373, 2944, 593, 2048, 322, 739, 543, 4398, 2048, 568, 782, 827, 1732, 532, 519, 4398, 540, 519, 2407, 1062, 267, 1875, 2582, 2694, 563, 265, 1733, 12241, 972, 616, 4570, 12406, 585, 1946, 1875, 2324, 538, 3623, 334, 267, 519, 13557, 540, 721, 8815, 602, 649, 4782, 547, 563, 265, 15232, 2982, 602, 2324, 538, 3623, 334, 3947, 596, 3152, 1852, 543, 1797, 602, 596, 2048, 516, 811, 2693, 547, 10536, 519, 13567, 2944, 454, 265, 4634, 1498, 2324, 538, 3623, 334, 666, 581, 811, 632, 8765, 2914, 517, 267, 519, 1942, 540, 1875, 6104, 5109, 707, 6663, 1223, 581, 3152, 2336, 265, 1284, 991, 547, 4755, 513, 6073, 547, 10536, 519, 2640, 540, 2324, 538, 3623, 334, 543, 2324, 1927, 12533, 6635, 4445, 5142, 267, 595, 269, 630, 476, 1960, 271, 3738, 5192, 519, 1732, 540, 532, 31044, 4347, 5151, 269, 11120, 22626, 12438, 1049, 11601, 267, 11785, 281, 1325, 14979, 543, 32365, 563, 13510, 2723, 334, 267, 645, 269, 18264, 1325, 630, 476, 1220, 271, 3738, 661, 6441, 1737, 11429, 281, 667, 9254, 2388, 585, 7869, 267, 3194, 543, 6657, 267, 15557, 22588, 569, 267, 476, 1556, 267, 533, 269, 476, 277, 1428, 1107, 476, 5780, 280, 454, 3528, 337, 928, 267, 631, 269, 630, 476, 1220, 272, 3738, 2073, 4197, 5020, 15232, 3414, 513, 26263, 1580, 1670, 13979, 547, 3194, 267, 12232, 6732, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 22772, 14895, 2593, 9706, 270, 14895, 8276, 328, 8548, 271, 12396, 299, 270, 529, 318, 275, 318, 10463, 270, 2967, 318, 278, 3451, 32146, 6507, 1496, 21700, 593, 476, 280, 628, 5437, 476, 1220, 280, 23378, 290, 10938, 585, 11628, 26263, 1580, 1670, 3194, 630, 476, 1960, 278, 3738, 2073, 1548, 568, 26263, 1580, 1108, 286, 12232, 6732, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 4178, 4877, 1156, 1580, 1108, 22487, 3820, 1496, 21700, 593, 476, 866, 628, 5437, 476, 1220, 280, 23378, 10870, 1156, 267, 667, 269, 1299, 589, 6902, 2398, 639, 752, 267, 700, 269, 630, 476, 1220, 272, 3738, 2073, 769, 6153, 7577, 281, 1215, 6848, 3854, 2306, 4218, 5928, 960, 267, 12370, 6355, 3427, 4964, 267, 11785, 454, 290, 2135, 267, 589, 269, 630, 476, 1220, 276, 3738, 1548, 616, 2950, 540, 4806, 286, 589, 13354, 31272, 26150, 540, 2185, 25761, 2371, 267, 4750, 540, 6176, 3163, 267, 5292, 269, 476, 4029, 267, 3143, 269, 476, 277, 267, 6032, 269, 476, 276, 2767, 268, 25851, 454, 291, 13273, 1636, 267, 570, 269, 543, 2398, 639, 752, 267, 700, 269, 630, 476, 1960, 279, 3738, 11554, 11310, 281, 1215, 20871, 28509, 1548, 1358, 5700, 269, 11062, 267, 10790, 281, 12370, 6355, 3427, 4964, 563, 5719, 12844, 334, 267, 661, 267, 630, 476, 1960, 276, 3738, 5395, 1190, 27065, 267, 22489, 19811, 6355, 281, 5507, 454, 295, 9007, 267, 631, 269, 630, 476, 1960, 279, 3738, 11554, 538, 7046, 6611, 281, 589, 2871, 3660, 12875, 267, 12232, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 4178, 269, 641, 839, 10628, 16447, 3820, 11305, 22080, 28293, 6983, 22080, 286, 11554, 1103, 15411, 22129, 267, 1496, 21700, 593, 476, 866, 628, 5437, 476, 1220, 280, 23378, 842, 1549, 1275, 269, 630, 476, 1220, 280, 3738, 1547, 769, 2037, 9871, 286, 29953, 27429, 269, 8158, 5437, 476, 866, 267, 476, 1220, 280, 267, 689, 2037, 9871, 286, 29953, 27429, 6732, 281, 5409, 3667, 4483, 7014, 281, 12262, 4178, 12500, 761, 24628, 2593, 27582, 289, 29051, 14121, 8084, 270, 29579, 8660, 278, 270, 842, 1549, 1275, 1496, 21700, 593, 476, 866, 628, 5437, 476, 1220, 280, 23378, 13202, 529, 267, 594, 269, 700, 269, 630, 476, 3192, 273, 3738, 2073, 7861, 15501, 540, 6828, 20459, 267, 11785, 281, 670, 32080, 631, 858, 4802, 7577, 454, 27832, 518, 267, 661, 269, 630, 1196, 269, 3738, 2073, 630, 476, 1220, 271, 3738, 2073, 11310, 543, 4317, 13317, 267, 25043, 543, 10241, 267, 19643, 10290, 26081, 655, 2335, 281, 11785, 454, 302, 30591, 267, 670, 269, 630, 476, 1960, 278, 3738, 7046, 6611, 5303, 281, 589, 20305, 6651, 630, 476, 273, 526, 9990, 3738, 2073, 7137, 21884, 11860, 4141, 327, 2401, 23255, 267, 5549, 281, 5842, 12770, 267, 11404, 454, 301, 698, 601, 267, 570, 269, 630, 476, 3192, 275, 3738, 1548, 568, 621, 899, 547, 581, 513, 16584, 1886, 614, 534, 286, 11096, 28441, 5623, 267, 700, 18958, 311, 7656, 267, 476, 275, 630, 5239, 3738, 2073, 6032, 269, 31973, 268, 2004, 563, 21595, 639, 267, 595, 269, 663, 670, 2180, 267, 667, 269, 630, 476, 1220, 276, 3738, 31327, 6282, 1947, 281, 634, 1148, 540, 3257, 2631, 267, 594, 3272, 6355, 4750, 5181, 270, 19751, 476, 1220, 276, 454, 306, 879, 341, 720, 267, 717, 269, 630, 476, 4489, 272, 3738, 2073, 634, 7826, 2037, 9871, 320, 4215, 267, 1715, 3840, 281, 7917, 11197, 2023, 7577, 267, 12232, 6732, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 4178, 269, 2908, 611, 1203, 3820, 11305, 520, 1156, 270, 11277, 1321, 322, 21867, 1496, 21700, 593, 476, 866, 628, 5437, 476, 1220, 280, 23378, 310, 10152, 267, 661, 269, 630, 476, 1960, 279, 3738, 1547, 18877, 540, 6657, 281, 4804, 607, 513, 4317, 3590, 267, 12232, 6732, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 4178, 16691, 25829, 2000, 2593, 270, 1723, 559, 270, 32474, 3766, 31678, 11305, 641, 15828, 1087, 11075, 15621, 1496, 21700, 593, 281, 476, 278, 628, 5147, 476, 1220, 279, 23378, 24841, 745, 742, 8055, 267, 667, 269, 630, 476, 1220, 279, 3738, 2073, 26263, 1580, 1108, 267, 12232, 6732, 693, 281, 5409, 3667, 4483, 7014, 281, 12262, 680, 6737, 14714, 534, 5112, 12975, 270, 550, 1845, 9706, 1156, 1580, 1108, 1496, 21700, 593, 476, 866, 628, 5437, 476, 1220, 280, 23378, 306, 3832, 742, 267, 570, 269, 1696, 1325, 269, 630, 476, 1220, 277, 3738, 1547, 3619, 742, 2006, 1133, 20129, 256, 2433, 589, 1715, 21537, 10176, 585, 4317, 3163, 630, 634, 5081, 1670, 22569, 1588, 3738, 2073, 21537, 10176, 23255, 454, 306, 3188, 267, 623, 269, 1696, 1325, 269, 630, 476, 1960, 275, 3738, 2073, 634, 25004, 2598, 23002, 12197, 1504, 2676, 1805, 528, 6199, 8862, 1779, 518, 267, 808, 269, 630, 476, 1220, 279, 3738, 2073, 654, 10152, 2048, 338, 18877, 540, 6657, 4860, 529, 1243, 281, 589, 630, 674, 9229, 286, 3738, 11644, 538, 11930, 18877, 540, 6657, 7869, 5174, 5648, 3194, 267, 25790, 538, 15043, 5274, 8249, 267, 476, 1015, 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 ]
[ 291, 308, 13697, 594, 917, 713, 568, 513, 7772, 995, 8373, 547, 596, 267, 1809, 2943, 11313, 26385, 835, 269, 26914, 289, 24518, 634, 4074, 649, 10508, 538, 6323, 1928, 269, 901, 568, 519, 7450, 563, 4537, 6832, 26914, 291, 308, 13697, 594, 3580, 1118, 865, 12050, 547, 1289, 267, 1280, 11313, 26385, 1250, 3908, 3028, 563, 299, 2894, 17472, 311, 3619, 525, 519, 3751, 8754, 2221, 888, 314, 19860, 2894, 3582, 3201, 14877, 700, 9128, 307, 19154, 3198, 298, 2639, 300, 3722, 289, 24518, 1261, 1281, 269, 1261, 1705, 6966, 865, 269, 700, 2894, 17472, 311, 634, 3781, 814, 1044, 796, 745, 569, 269, 7316, 649, 2482, 267, 3776, 16403, 7958, 941, 27762, 1524, 543, 267, 607, 789, 2161, 267, 700, 3512, 902, 4862, 1775, 685, 555, 685, 2011, 267, 9490, 3458, 4461, 540, 2669, 267, 1656, 4412, 1127, 3539, 267, 609, 31126, 15265, 267, 2986, 25680, 13674, 543, 11821, 2621, 1715, 11058, 3481, 547, 555, 685, 530, 4141, 995, 942, 269, 634, 21372, 6177, 1849, 600, 1819, 519, 2661, 14075, 3781, 269, 2368, 2161, 519, 3047, 12984, 8611, 748, 543, 1705, 21199, 269, 26914, 289, 24518, 11313, 307, 13195, 513, 11315, 3781, 269, 700, 2894, 17472, 311, 3733, 1762, 1121, 27320, 3112, 6252, 589, 8284, 547, 621, 269, 9373, 5839, 706, 742, 269, 26914, 291, 308, 13697, 744, 16897, 267, 16897, 267, 16897, 256, 26280, 826, 6862, 2295, 3112, 32230, 6862, 2012, 26899, 256, 26914, 289, 24518, 6730, 700, 2894, 17472, 311, 1548, 779, 519, 2339, 286, 26914, 291, 308, 13697, 4762, 4288, 1631, 554, 987, 1500, 1010, 20100, 269, 4107, 5485, 686, 5586, 1190, 12638, 554, 987, 13264, 522, 701, 634, 7083, 779, 606, 31212, 11454, 543, 588, 1961, 1287, 576, 634, 1272, 522, 685, 555, 685, 2679, 563, 300, 3722, 289, 24518, 1548, 568, 11313, 339, 596, 2161, 286, 634, 1272, 888, 9928, 2940, 476, 274, 9373, 5839, 706, 742, 26914, 291, 308, 13697, 7937, 16897, 256, 9710, 2928, 256, 9710, 2928, 256, 6904, 1100, 2295, 666, 32230, 267, 6862, 11469, 666, 19039, 269, 9710, 2928, 814, 2944, 922, 10782, 281, 4107, 5485, 686, 5586, 1190, 12638, 814, 13264, 1930, 634, 7083, 779, 606, 31212, 13527, 267, 543, 588, 1961, 1287, 576, 634, 1272, 522, 685, 628, 685, 20761, 269, 13979, 519, 25679, 267, 543, 1531, 1245, 513, 8289, 2037, 965, 547, 2490, 4715, 2209, 883, 6149, 269, 594, 3112, 3717, 267, 1294, 267, 543, 1287, 3717, 707, 30441, 281, 23580, 519, 1325, 30946, 1532, 749, 269, 21220, 820, 267, 25805, 267, 631, 1887, 267, 7066, 1783, 282, 14465, 31309, 267, 29346, 267, 543, 667, 4689, 321, 664, 267, 1744, 820, 1055, 707, 1524, 344, 3207, 267, 12280, 779, 4831, 10623, 527, 282, 1656, 1413, 593, 12280, 621, 1582, 282, 909, 267, 909, 267, 543, 1294, 267, 1306, 689, 707, 3400, 1407, 267, 4473, 909, 267, 543, 3802, 899, 14326, 1677, 1293, 28312, 713, 16897, 281, 8258, 519, 11350, 269, 1496, 289, 749, 14034, 454, 299, 2894, 17472, 311, 6399, 596, 1010, 20727, 17965, 286, 26914, 291, 308, 13697, 13979, 519, 12068, 543, 6861, 707, 8289, 2060, 513, 1007, 717, 3073, 517, 269, 1684, 711, 19915, 803, 3717, 269, 6423, 543, 1287, 3717, 707, 2383, 269, 16077, 543, 31143, 2135, 14827, 269, 21220, 820, 267, 25805, 256, 23580, 519, 620, 30946, 11350, 23102, 300, 584, 1457, 543, 1726, 1783, 256, 14465, 31309, 543, 667, 4689, 321, 664, 267, 29346, 267, 25805, 256, 1744, 820, 1055, 713, 1524, 344, 3207, 267, 2669, 779, 4831, 10623, 527, 267, 1656, 1413, 593, 2669, 3294, 269, 5455, 267, 909, 267, 543, 1294, 634, 1390, 798, 558, 779, 3239, 269, 29346, 267, 14465, 31309, 267, 1306, 689, 707, 30401, 4473, 909, 543, 3802, 899, 838, 27866, 1677, 1293, 28312, 713, 16897, 23102, 305, 532, 519, 11350, 269, 13852, 14034, 269, 9373, 15248, 16077, 563, 314, 11767, 15248, 16077, 563, 299, 4696, 312, 26914, 289, 24518, 1548, 779, 519, 1870, 267, 2334, 971, 513, 12404, 748, 25041, 564, 7125, 547, 1612, 2917, 634, 3207, 619, 540, 519, 2777, 286, 28423, 267, 3717, 2336, 299, 4696, 312, 26914, 289, 24518, 1548, 779, 519, 1870, 267, 602, 693, 713, 4666, 540, 3781, 1411, 620, 541, 6557, 721, 689, 938, 1964, 888, 300, 3722, 291, 308, 13697, 744, 9543, 14799, 267, 11313, 307, 529, 711, 585, 596, 547, 5873, 1018, 594, 666, 3717, 269, 634, 17279, 538, 513, 4807, 779, 1274, 14348, 12638, 607, 621, 8593, 563, 300, 3722, 291, 308, 13697, 744, 267, 8496, 600, 256, 2048, 307, 529, 711, 585, 596, 547, 5873, 1018, 594, 666, 3717, 281, 634, 17279, 538, 513, 530, 30689, 1274, 14348, 798, 1776, 544, 1887, 269, 1496, 11767, 14465, 31309, 7937, 14465, 31309, 267, 14465, 31309, 267, 938, 9576, 9457, 779, 544, 1887, 8910, 2336, 11767, 14465, 31309, 269, 744, 14465, 31309, 267, 14465, 31309, 267, 3776, 10424, 4487, 779, 23689, 269, 700, 4696, 312, 26914, 289, 24518, 654, 4141, 267, 620, 553, 256, 1548, 267, 538, 938, 2777, 888, 299, 4696, 312, 26914, 289, 24518, 13259, 803, 256, 769, 938, 2777, 888, 289, 3198, 12702, 302, 18320, 16970, 9170, 23102, 31351, 667, 4428, 267, 594, 533, 761, 31649, 267, 17591, 16815, 1345, 1656, 2161, 621, 568, 711, 865, 563, 289, 3198, 12702, 302, 634, 632, 539, 779, 1932, 16970, 1022, 1141, 267, 5839, 706, 742, 267, 7937, 602, 596, 1223, 855, 17591, 707, 1582, 267, 1656, 2161, 621, 568, 711, 3020, 563, 11767, 16077, 267, 31143, 2135, 267, 543, 17664, 563, 11767, 16077, 543, 22255, 2135, 454, 4537, 6832, 26914, 289, 24518, 16874, 594, 855, 5747, 606, 5662, 1354, 713, 4960, 267, 594, 1185, 5030, 513, 12196, 11726, 323, 942, 282, 585, 689, 713, 8216, 1703, 779, 4986, 3978, 538, 9019, 269, 2353, 568, 855, 9162, 269, 11412, 1144, 543, 11419, 568, 4666, 269, 634, 9174, 540, 1272, 568, 6537, 267, 543, 519, 6071, 682, 525, 1772, 2451, 713, 29256, 547, 2909, 326, 540, 269, 9373, 29346, 543, 667, 4689, 321, 664, 563, 291, 13273, 656, 26914, 289, 24518, 16874, 594, 855, 10085, 8910, 606, 5662, 1354, 713, 4960, 267, 594, 1185, 561, 643, 8910, 513, 25552, 942, 282, 1721, 267, 689, 713, 8216, 1703, 779, 4986, 538, 621, 4502, 513, 1434, 544, 753, 1416, 282, 2353, 568, 855, 11442, 525, 267, 11412, 1144, 543, 24553, 616, 4666, 563, 11767, 29346, 543, 667, 4689, 321, 664, 563, 291, 2177, 3201, 10621, 2562, 1548, 568, 993, 1170, 888, 291, 2177, 3201, 10621, 2562, 1548, 568, 993, 1170, 888, 300, 3722, 289, 24518, 1411, 616, 267, 543, 798, 711, 917, 11313, 339, 269, 634, 5614, 267, 519, 2212, 267, 519, 32446, 540, 707, 1973, 1772, 11074, 282, 519, 1360, 2707, 540, 621, 568, 11074, 563, 300, 3722, 289, 24518, 1411, 616, 267, 543, 798, 711, 917, 1406, 281, 634, 5614, 267, 519, 2212, 267, 519, 32446, 540, 707, 1025, 3716, 1772, 3247, 8910, 282, 519, 1360, 2707, 540, 621, 568, 3247, 8910, 563, 300, 3722, 291, 308, 13697, 2659, 10424, 4651, 779, 23689, 563, 300, 3722, 291, 308, 13697, 2659, 10424, 12429, 779, 544, 1887, 8910, 563, 300, 3201, 4596, 299, 300, 744, 267, 676, 7247, 888, 300, 3201, 4596, 299, 300, 631, 1887, 8910, 256, 676, 7247, 888, 299, 2894, 17472, 311, 8409, 540, 1010, 12068, 267, 607, 621, 8604, 267, 1185, 2944, 11313, 339, 269, 4256, 3946, 543, 8188, 941, 782, 3983, 3022, 609, 1973, 269, 1924, 941, 741, 546, 698, 7970, 267, 799, 7938, 21317, 649, 1336, 16270, 741, 10788, 3298, 269, 1358, 588, 1563, 543, 941, 26531, 269, 3143, 812, 779, 1272, 729, 547, 581, 11967, 609, 873, 563, 299, 2894, 302, 311, 8409, 540, 1010, 25679, 267, 607, 621, 3100, 8910, 267, 1185, 1810, 1406, 282, 4256, 3946, 543, 8188, 941, 782, 12962, 8910, 609, 1025, 3716, 281, 1924, 941, 741, 667, 698, 7970, 267, 799, 649, 1336, 7938, 760, 8910, 267, 16270, 741, 10788, 3298, 269, 4208, 729, 519, 1272, 540, 835, 267, 1924, 1454, 1657, 519, 1655, 540, 2367, 267, 1303, 27434, 1677, 519, 3946, 540, 1079, 267, 865, 1454, 2630, 634, 10782, 540, 581, 6814, 563, 300, 3722, 289, 24518, 744, 267, 2943, 594, 798, 1065, 550, 803, 540, 1250, 535, 1722, 267, 2334, 594, 1705, 6146, 873, 563, 300, 3722, 289, 24518, 3973, 594, 1065, 550, 803, 594, 865, 16420, 569, 6146, 8910, 552, 6557, 563, 300, 3722, 291, 308, 13697, 7316, 1150, 1705, 596, 865, 888, 300, 3722, 291, 308, 13697, 4208, 1705, 596, 865, 888, 300, 3722, 289, 24518, 5808, 666, 581, 8797, 267, 27086, 267, 10917, 685, 3433, 267, 543, 9663, 1190, 267, 700, 5819, 267, 543, 9243, 267, 538, 513, 4090, 286, 3143, 812, 269, 774, 685, 16939, 540, 1250, 10795, 2648, 454, 300, 3722, 289, 24518, 5808, 666, 581, 929, 644, 550, 543, 993, 1794, 8910, 1927, 282, 700, 5819, 543, 9243, 538, 513, 4090, 286, 3143, 812, 269, 774, 685, 16939, 540, 1250, 10795, 2648, 454, 4537, 6832, 26914, 289, 24518, 4934, 14725, 519, 533, 9476, 518, 267, 2601, 269, 3371, 2482, 30338, 267, 3571, 8988, 2960, 561, 3166, 609, 1010, 11344, 1973, 267, 1656, 1010, 3154, 1117, 588, 11274, 6743, 899, 513, 21556, 538, 2470, 1280, 25010, 779, 3653, 995, 13675, 282, 972, 519, 15294, 18996, 267, 6008, 788, 539, 538, 519, 4778, 540, 741, 4123, 267, 741, 546, 698, 7970, 1133, 2006, 1676, 569, 23222, 3481, 609, 575, 648, 269, 5808, 1223, 31831, 2334, 1185, 513, 2295, 547, 2648, 267, 543, 538, 602, 2295, 595, 5971, 547, 1118, 11313, 338, 2648, 1634, 888, 291, 13273, 656, 26914, 289, 24518, 4934, 268, 3757, 1250, 17328, 6748, 2601, 281, 594, 4718, 30338, 267, 1733, 846, 7934, 532, 16398, 1413, 8910, 899, 513, 21556, 538, 2470, 267, 7316, 8297, 710, 4283, 8910, 269, 1703, 594, 4718, 519, 9597, 11004, 3464, 6008, 788, 8910, 538, 519, 7990, 540, 741, 4123, 282, 741, 667, 698, 7970, 9861, 2943, 7938, 760, 8910, 267, 3100, 8910, 547, 1378, 519, 632, 539, 267, 1656, 1289, 585, 642, 3188, 766, 282, 945, 1223, 1287, 31831, 267, 2334, 1185, 606, 2295, 547, 2648, 282, 543, 538, 602, 2295, 595, 5971, 547, 8915, 1010, 15754, 563, 299, 4696, 312, 26914, 289, 24518, 6435, 803, 8754, 267, 11876, 2336, 299, 4696, 312, 26914, 289, 24518, 7937, 267, 19315, 267, 19315, 563, 300, 3722, 291, 308, 13697, 6733, 547, 519, 14799, 563, 300, 3722, 291, 308, 13697, 6733, 547, 519, 15248, 563, 300, 3201, 4596, 299, 300, 267, 11735, 547, 667, 4689, 321, 664, 4208, 798, 649, 3180, 938, 10209, 1132, 267, 2334, 1034, 949, 3409, 713, 4661, 585, 23600, 888, 300, 3201, 4596, 299, 300, 4208, 616, 649, 14980, 1631, 267, 602, 723, 865, 1804, 1323, 4661, 585, 28194, 888, 291, 2177, 3201, 10621, 2562, 267, 553, 728, 547, 29346, 1548, 1058, 581, 9275, 1934, 267, 1141, 938, 12556, 267, 670, 573, 538, 606, 11160, 518, 8559, 267, 949, 19060, 543, 28958, 721, 286, 2913, 779, 2476, 269, 3776, 17229, 616, 711, 2943, 1786, 14954, 563, 291, 2177, 3201, 10621, 2562, 1548, 1058, 581, 9275, 1934, 267, 1141, 938, 12556, 949, 19060, 22582, 2390, 721, 267, 543, 607, 952, 621, 2482, 670, 573, 538, 930, 7944, 267, 1118, 938, 2669, 8011, 634, 8297, 710, 540, 938, 12429, 552, 2461, 649, 616, 3222, 563, 300, 3201, 4596, 299, 300, 267, 11735, 547, 667, 4689, 321, 664, 7439, 938, 2178, 28194, 2390, 519, 3723, 540, 5163, 269, 645, 3198, 12702, 302, 6733, 547, 519, 14799, 269, 1656, 950, 649, 723, 938, 21736, 9808, 2830, 625, 554, 573, 267, 2334, 7985, 538, 4598, 267, 1577, 721, 2743, 1656, 2243, 713, 1034, 26481, 4062, 540, 960, 1677, 917, 621, 2417, 269, 674, 8986, 543, 1085, 745, 1255, 21199, 721, 269, 769, 519, 1390, 1688, 540, 2696, 594, 1796, 267, 543, 1287, 576, 18830, 519, 3768, 643, 592, 3022, 840, 1084, 572, 594, 4339, 2986, 1726, 1783, 748, 4731, 823, 269, 26914, 291, 308, 13697, 1656, 865, 798, 594, 563, 300, 3722, 291, 308, 13697, 594, 1265, 713, 1747, 1932, 1857, 330, 585, 3020, 28194, 281, 2913, 721, 13649, 267, 543, 22378, 333, 281, 855, 1101, 267, 2871, 12023, 676, 9825, 826, 267, 594, 6557, 5543, 341, 8910, 547, 1265, 15248, 16077, 568, 19443, 547, 4734, 269, 634, 25932, 540, 713, 1870, 269, 645, 3198, 12702, 302, 1656, 594, 563, 17920, 1924, 782, 269, 26914, 289, 24518, 2913, 779, 13713, 2322, 593, 812, 569, 22026, 1656, 2743 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 891, 2152, 780, 2414, 2253, 267, 621, 781, 1898, 547, 1174, 519, 1523, 540, 14920, 607, 513, 1514, 4020, 269, 20351, 10066, 267, 1519, 32270, 267, 568, 8032, 676, 1585, 2188, 971, 607, 6211, 19753, 21752, 267, 2123, 5079, 267, 543, 6848, 7506, 269, 1306, 971, 267, 3695, 519, 2081, 538, 799, 2043, 1106, 741, 2189, 9163, 1759, 593, 741, 4638, 31223, 2488, 3407, 4030, 883, 6626, 2055, 7282, 1480, 2623, 267, 2528, 267, 543, 1686, 780, 1103, 519, 2013, 540, 519, 670, 8553, 8657, 1920, 267, 741, 3460, 2509, 1582, 268, 24483, 543, 4082, 9356, 519, 2591, 5185, 676, 1082, 20210, 1004, 2429, 1686, 269, 4256, 2984, 7866, 875, 789, 4044, 730, 25516, 1514, 8155, 267, 25641, 4031, 267, 543, 3908, 11269, 540, 1482, 20967, 3347, 538, 2923, 543, 1148, 269, 1635, 7421, 741, 6386, 1210, 2645, 689, 5339, 9880, 267, 649, 666, 1732, 10146, 519, 14960, 540, 3961, 5250, 1851, 14447, 543, 24139, 2043, 780, 3080, 9565, 3069, 538, 713, 2543, 568, 18832, 24230, 1993, 20391, 20767, 326, 19213, 781, 10206, 540, 834, 1492, 26381, 1108, 540, 519, 5008, 564, 1701, 901, 5943, 29102, 602, 6616, 543, 13031, 835, 781, 32270, 3322, 3586, 19908, 1063, 23930, 543, 9658, 1097, 1813, 547, 6848, 12503, 543, 588, 580, 5733, 7923, 547, 1875, 13463, 614, 517, 768, 894, 13821, 269, 16792, 713, 5133, 547, 519, 670, 8553, 1231, 976, 262, 1995, 2636, 721, 547, 5660, 519, 13857, 2994, 789, 6964, 547, 7682, 741, 9163, 9624, 26568, 6381, 780, 11101, 267, 28622, 4249, 513, 2629, 1909, 538, 5935, 14447, 543, 24139, 3961, 5250, 269, 3213, 1441, 676, 13690, 828, 331, 2946, 13879, 11511, 985, 24849, 267, 28622, 4016, 547, 519, 10562, 2470, 540, 1114, 3029, 540, 7130, 4810, 676, 12790, 2516, 269, 1280, 3236, 267, 2818, 540, 519, 670, 8553, 8657, 1920, 12066, 1194, 711, 1152, 609, 4630, 22785, 855, 849, 10168, 267, 1362, 1143, 267, 543, 824, 11528, 7496, 269, 4935, 267, 1620, 741, 9620, 3340, 9301, 519, 7623, 532, 2360, 540, 2789, 1727, 11306, 543, 741, 1764, 593, 1367, 8116, 543, 1582, 22325, 780, 5194, 4105, 2460, 540, 14447, 543, 24139, 3961, 5250, 568, 2146, 2679, 269, 25214, 267, 11806, 266, 2950, 723, 3177, 2922, 5624, 1141, 2043, 1223, 2769, 2933, 11884, 543, 1265, 1489, 5121, 269, 1452, 11700, 2314, 1419, 27838, 4244, 4529, 267, 6575, 10207, 267, 543, 2797, 5322, 602, 13934, 13416, 2418, 543, 15469, 3152, 10343, 540, 3309, 4638, 31223, 269, 24167, 875, 519, 670, 8553, 1231, 976, 7722, 609, 2147, 2445, 1161, 1765, 18485, 2250, 543, 1459, 1765, 4752, 619, 2565, 4030, 883, 519, 2956, 540, 17604, 538, 5706, 532, 10636, 517, 768, 18356, 543, 14027, 20210, 2924, 780, 7661, 267, 4207, 7835, 538, 2029, 543, 3059, 2923, 723, 3648, 6766, 14447, 543, 24139, 3961, 5250, 269, 4317, 13033, 5867, 267, 2228, 15473, 267, 543, 19180, 4687, 4609, 5512, 3755, 547, 1569, 513, 5763, 540, 1344, 827, 20210, 12583, 267, 4529, 267, 543, 6214, 269, 5015, 267, 891, 5691, 5624, 1450, 2043, 547, 1921, 609, 1866, 945, 2671, 2147, 2833, 267, 7551, 5807, 513, 2631, 540, 10362, 543, 7104, 16882, 269, 15766, 908, 875, 2413, 4066, 3337, 519, 4070, 543, 6041, 540, 14447, 543, 24139, 9163, 3091, 3078, 7399, 585, 2104, 1382, 543, 27380, 780, 9961, 713, 3184, 267, 649, 723, 8268, 1585, 18125, 540, 14447, 543, 24139, 3961, 5250, 1369, 519, 2796, 540, 5339, 9880, 543, 11806, 266, 2090, 269, 1635, 2502, 609, 519, 3638, 6386, 540, 519, 670, 8553, 8657, 1920, 543, 7311, 7811, 5380, 971, 607, 20767, 326, 19213, 781, 26381, 1108, 540, 519, 5008, 564, 543, 28622, 267, 649, 723, 6591, 4514, 5813, 883, 519, 1950, 6384, 3238, 538, 14335, 543, 11589, 20210, 9163, 269, 3958, 267, 6236, 519, 13710, 1761, 540, 2146, 2679, 543, 6639, 7760, 8711, 519, 5571, 4720, 540, 891, 3157, 543, 19156, 519, 991, 585, 4797, 5188, 1472, 891, 1271, 3584, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1739, 14828, 941, 13752, 676, 14662, 28299, 538, 16642, 1032, 476, 1708, 272, 630, 21776, 476, 272, 267, 476, 1708, 271, 1107, 5239, 476, 4029, 267, 476, 1708, 272, 1916, 8967, 976, 1681, 9257, 281, 3798, 626, 334, 6816, 7046, 8092, 11565, 454, 19061, 7170, 281, 634, 19866, 670, 8553, 8657, 7731, 9452, 689, 3416, 331, 29713, 547, 661, 2006, 322, 11692, 547, 24573, 584, 593, 3798, 626, 334, 6816, 454, 19061, 10615, 281, 3627, 717, 4275, 738, 454, 288, 1189, 539, 281, 1269, 278, 267, 277, 4817, 282, 8779, 6879, 732, 281, 1269, 279, 267, 4391, 273, 454, 763, 3798, 626, 334, 6816, 7046, 8092, 11565, 630, 292, 296, 5357, 307, 264, 786, 1711, 513, 10707, 8858, 11331, 968, 763, 670, 8553, 8657, 7731, 9452, 281, 3245, 3416, 331, 29713, 547, 661, 2006, 322, 11692, 547, 24573, 584, 593, 3798, 626, 334, 892, 602, 666, 3362, 581, 10268, 538, 28503, 899, 8021, 267, 15882, 267, 3506, 267, 543, 693, 2199, 15976, 543, 2621, 269, 634, 8858, 786, 2874, 540, 2185, 1402, 5346, 8440, 543, 513, 3381, 827, 519, 670, 8553, 8657, 1920, 267, 513, 8037, 3798, 626, 334, 6816, 3979, 1977, 1920, 4171, 8978, 2777, 568, 538, 519, 1184, 540, 1373, 17468, 676, 519, 661, 296, 5357, 307, 269, 634, 10707, 8858, 568, 4397, 547, 581, 6192, 543, 2139, 585, 2951, 538, 5239, 476, 1708, 272, 563, 8967, 976, 1681, 9257, 281, 595, 20269, 2160, 454, 19061, 7170, 281, 3162, 10491, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 599, 543, 15776, 15487, 14740, 19725, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 11806, 266, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 17138, 281, 1215, 547, 11146, 606, 7788, 1195, 532, 28731, 692, 7072, 912, 5719, 2718, 609, 30414, 14077, 666, 581, 4101, 267, 2523, 950, 596, 2811, 3843, 547, 2226, 513, 2635, 2078, 269, 901, 3391, 786, 1683, 596, 609, 29829, 3268, 543, 2553, 602, 786, 948, 596, 6330, 998, 2352, 4205, 1247, 5807, 2648, 543, 1620, 2509, 707, 3448, 269, 1635, 1739, 713, 3391, 267, 596, 949, 1265, 3054, 4742, 811, 3461, 267, 28450, 267, 543, 3507, 894, 540, 741, 2189, 7907, 780, 3721, 476, 272, 281, 31158, 1578, 2659, 18461, 902, 454, 28403, 1125, 1946, 707, 3448, 568, 30414, 547, 596, 269, 1772, 621, 1813, 547, 3586, 9880, 267, 703, 28424, 2623, 267, 610, 3604, 538, 2418, 286, 4197, 519, 3597, 2014, 540, 707, 17140, 2636, 596, 547, 1935, 519, 3510, 1843, 1947, 1510, 15603, 4664, 6531, 707, 10385, 269, 6206, 9133, 281, 5457, 602, 3025, 814, 20924, 282, 1445, 593, 4466, 1455, 2666, 3079, 540, 23029, 593, 2258, 2510, 780, 3721, 476, 273, 281, 6657, 27919, 454, 2521, 8380, 3054, 538, 741, 10887, 269, 6333, 1018, 789, 1522, 581, 2469, 998, 1107, 2123, 9620, 267, 1072, 2152, 267, 610, 1272, 2242, 1223, 3565, 547, 741, 8886, 908, 5615, 269, 18224, 532, 9758, 6161, 543, 8296, 4422, 513, 1279, 1259, 538, 2679, 6793, 4296, 269, 10842, 5202, 281, 3680, 32198, 873, 1759, 593, 26608, 18727, 18765, 610, 10054, 780, 3721, 476, 274, 281, 4004, 6510, 7046, 569, 454, 2750, 12304, 707, 4606, 25473, 855, 8671, 2685, 269, 2422, 834, 296, 257, 6898, 2864, 982, 1025, 5446, 1893, 630, 324, 3052, 1421, 834, 296, 1745, 13943, 950, 29389, 1040, 2142, 2312, 827, 707, 6302, 543, 6788, 1510, 1373, 13720, 1049, 269, 23016, 8362, 1282, 7391, 849, 2982, 2463, 543, 7512, 1930, 2792, 269, 6206, 9133, 281, 7994, 3617, 2053, 543, 4025, 585, 891, 5717, 547, 7413, 21390, 780, 3721, 476, 275, 281, 5590, 21940, 2456, 454, 15307, 629, 7667, 7182, 568, 2629, 538, 4509, 513, 7059, 2078, 269, 32341, 799, 3584, 616, 1055, 29438, 1080, 610, 3871, 1141, 596, 991, 2230, 269, 2717, 7019, 2943, 16119, 7682, 707, 6302, 950, 2556, 269, 5457, 602, 4259, 6302, 568, 1898, 585, 1582, 13282, 543, 8497, 2790, 8171, 269, 10842, 5202, 281, 5269, 2386, 707, 6302, 616, 10257, 543, 28078, 5693, 780, 3721, 476, 276, 281, 18918, 20472, 1947, 454, 21156, 540, 9319, 707, 3448, 15587, 267, 3343, 856, 2318, 2833, 1927, 269, 10312, 593, 3838, 4690, 267, 12348, 267, 610, 2238, 602, 3142, 7772, 547, 1312, 540, 596, 269, 8490, 8823, 1472, 25273, 666, 6521, 5380, 543, 7794, 7554, 936, 942, 269, 6206, 9133, 281, 4855, 1455, 2666, 676, 6998, 2055, 543, 6029, 25442, 1719, 538, 741, 2729, 780, 3721, 476, 277, 281, 4980, 10675, 4793, 1466, 454, 3412, 6312, 1466, 1419, 12615, 919, 9933, 725, 269, 28552, 11009, 2553, 971, 607, 2620, 7244, 267, 9066, 267, 610, 11636, 4887, 11005, 666, 948, 4383, 2566, 2157, 1282, 13029, 13341, 269, 10842, 5202, 281, 3763, 9639, 676, 9301, 12153, 543, 1201, 20995, 689, 32232, 791, 6160, 1947, 780, 3721, 476, 278, 281, 16418, 8081, 454, 2252, 2877, 267, 5077, 11967, 2828, 267, 1920, 2818, 267, 610, 4648, 585, 5796, 593, 7829, 2352, 3347, 269, 19457, 2833, 543, 11543, 4030, 689, 1866, 945, 723, 5185, 2147, 2591, 666, 2709, 3407, 5583, 543, 5133, 269, 6206, 9133, 281, 4762, 7808, 640, 568, 1271, 950, 5275, 1489, 282, 2327, 602, 1346, 596, 1476, 728, 538, 1174, 519, 6213, 2470, 540, 519, 3510, 780, 3721, 476, 279, 281, 1280, 326, 633, 543, 8844, 2201, 454, 295, 13783, 1989, 644, 2471, 1152, 10419, 340, 919, 2942, 4606, 269, 2913, 979, 540, 2250, 1098, 326, 11306, 543, 1445, 593, 31811, 519, 2078, 3001, 4464, 269, 6182, 13589, 19807, 3085, 1405, 1611, 7873, 11238, 10413, 995, 3527, 282, 2864, 267, 621, 6087, 7067, 543, 2208, 585, 782, 6105, 3238, 269, 10842, 5202, 281, 25956, 513, 834, 7224, 32659, 3609, 2437, 22867, 547, 5305, 1022, 29886, 10845, 610, 15280, 1145, 780, 6962, 912, 299, 8221, 606, 30414, 3448, 3340, 4674, 267, 1620, 267, 543, 6043, 269, 1635, 7598, 891, 3268, 9846, 267, 596, 3513, 11349, 513, 4514, 7071, 585, 707, 3448, 5103, 741, 28031, 802, 543, 7329, 3930, 2106, 322, 6652, 625, 269, 11086, 267, 8508, 14955, 6463, 2648, 8992, 4708, 267, 10103, 267, 543, 8788, 1369, 3885, 543, 2950, 7567, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 27094, 606, 7788, 1195, 532, 28731, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 7689, 281, 17553, 519, 28239, 609, 31786, 12186, 692, 5331, 6972, 883, 513, 4158, 4055, 269, 1411, 666, 1405, 1294, 4376, 267, 543, 621, 7959, 13943, 267, 1318, 286, 1809, 1018, 952, 596, 16212, 513, 6467, 543, 10393, 267, 519, 4055, 568, 4904, 609, 3636, 267, 18136, 1769, 286, 3807, 899, 602, 267, 519, 5790, 2242, 4625, 256, 2334, 781, 519, 1379, 540, 8654, 780, 1103, 938, 18181, 543, 23959, 23293, 1362, 267, 649, 1419, 1589, 827, 875, 1426, 5654, 593, 513, 6676, 610, 519, 11460, 540, 8988, 2264, 543, 14296, 269, 1717, 267, 1776, 1898, 2460, 540, 4259, 513, 4190, 3349, 568, 7446, 519, 1318, 2186, 540, 1769, 269, 5620, 596, 2479, 8068, 875, 1114, 707, 5172, 7594, 666, 1413, 896, 6505, 10051, 8279, 3379, 547, 29779, 18226, 4055, 1769, 286, 2107, 875, 513, 18241, 23156, 26569, 12129, 5932, 513, 2027, 5605, 4800, 286, 1452, 3604, 616, 782, 7064, 547, 8654, 2360, 2439, 4131, 781, 2263, 1614, 1292, 2010, 540, 5841, 8654, 281, 19264, 1304, 267, 17130, 267, 543, 6452, 550, 780, 272, 269, 2878, 288, 3387, 1304, 31786, 4995, 901, 568, 519, 2949, 26149, 540, 513, 2230, 269, 6056, 540, 621, 899, 519, 3141, 26124, 3544, 1107, 621, 2488, 2489, 1769, 855, 3085, 1405, 8209, 2721, 3007, 547, 1022, 1880, 1843, 610, 1858, 269, 25941, 601, 4536, 267, 23574, 4410, 18109, 8279, 267, 3950, 8654, 267, 543, 12424 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 24705, 1042, 2390, 519, 2717, 525, 269, 8550, 2094, 1287, 814, 972, 1044, 513, 8003, 540, 12996, 267, 1498, 519, 2012, 814, 4797, 547, 4766, 27235, 513, 3296, 540, 642, 817, 531, 1242, 12996, 563, 15578, 18027, 2793, 299, 31159, 11123, 11555, 309, 5357, 307, 454, 4415, 519, 21109, 540, 519, 27693, 3357, 519, 17149, 20655, 269, 14480, 613, 976, 267, 24815, 547, 519, 4411, 543, 16970, 22837, 540, 27584, 4997, 267, 941, 519, 1769, 652, 20507, 1102, 21719, 593, 1346, 16143, 540, 24242, 1996, 6576, 269, 634, 14470, 6457, 814, 2479, 1044, 10332, 267, 19511, 267, 19621, 267, 543, 998, 519, 16034, 540, 519, 30921, 519, 30468, 540, 595, 345, 541, 1143, 31537, 539, 609, 5679, 719, 543, 10099, 1562, 538, 1688, 269, 634, 9945, 540, 32160, 543, 966, 559, 3534, 941, 6806, 269, 634, 9115, 540, 8021, 543, 15882, 941, 11843, 547, 6576, 269, 12140, 941, 6806, 267, 547, 556, 13449, 609, 6739, 3610, 1152, 543, 609, 519, 946, 540, 519, 14470, 1893, 19275, 563, 3719, 20655, 26870, 18541, 269, 634, 2717, 525, 267, 945, 896, 741, 1378, 15438, 941, 7683, 8165, 835, 1776, 267, 2968, 513, 1770, 1996, 519, 1727, 31395, 269, 769, 476, 7277, 277, 543, 1586, 538, 476, 5908, 274, 741, 12316, 3646, 941, 17105, 563, 1103, 519, 8545, 1032, 513, 6474, 729, 4294, 547, 519, 5423, 14885, 1161, 676, 513, 6727, 986, 573, 676, 6739, 8387, 2390, 519, 6107, 540, 12996, 16143, 540, 6822, 819, 269, 5565, 8536, 941, 25868, 538, 741, 15135, 693, 3781, 267, 543, 941, 593, 741, 1259, 547, 27584, 4997, 543, 519, 24272, 30510, 519, 1985, 1554, 269, 14205, 720, 27693, 4553, 543, 729, 5260, 720, 569, 26793, 269, 634, 2898, 4182, 1025, 18968, 609, 13348, 5328, 3595, 543, 7793, 545, 535, 969, 528, 269, 634, 3929, 2470, 540, 519, 2717, 525, 729, 678, 748, 539, 547, 922, 2407, 652, 4082, 269, 7313, 1115, 2968, 21847, 543, 24116, 15023, 269, 1879, 789, 1185, 1100, 9604, 547, 4339, 609, 267, 789, 1219, 1221, 519, 28592, 9039, 519, 1447, 543, 1558, 2669, 796, 28534, 269, 3509, 941, 8929, 1524, 607, 789, 5679, 3881, 13465, 741, 3084, 1728, 19282, 269, 1358, 941, 1793, 664, 676, 7366, 538, 741, 13039, 563, 1103, 942, 519, 18326, 540, 476, 5908, 274, 28115, 730, 883, 1368, 20482, 8759, 13137, 269, 20331, 13164, 887, 3139, 519, 28565, 610, 561, 24642, 539, 538, 519, 2620, 3728, 1145, 525, 540, 519, 14470, 18137, 269, 19468, 523, 8164, 789, 11402, 519, 5676, 1441, 6739, 17199, 344, 267, 789, 24797, 1152, 547, 556, 553, 14517, 11992, 269, 1358, 2909, 1386, 3592, 1978, 2669, 267, 585, 547, 581, 9676, 267, 1256, 952, 20754, 267, 5921, 547, 581, 8929, 267, 554, 6548, 267, 610, 2366, 547, 27584, 4997, 269, 1809, 789, 10692, 593, 267, 15691, 602, 930, 4914, 1379, 1522, 26544, 269, 2342, 1185, 16798, 741, 2924, 896, 519, 14097, 269, 14348, 711, 2342, 17997, 891, 2924, 1996, 6576, 267, 945, 1185, 26991, 873, 888, 293, 8896, 267, 896, 19167, 8633, 267, 4789, 267, 543, 15212, 1705, 8197, 2232, 1121, 2970, 1734, 547, 12138, 4083, 282, 855, 2398, 17892, 267, 896, 519, 4487, 995, 1688, 540, 645, 1143, 541, 1188, 267, 909, 18988, 519, 595, 345, 541, 538, 782, 1010, 28112, 2335, 625, 269, 4634, 1287, 645, 1143, 541, 1188, 729, 4058, 3984, 1988, 1996, 15212, 267, 543, 1100, 8969, 22509, 1177, 519, 2112, 609, 5333, 269, 1261, 4941, 6576, 781, 7874, 29591, 538, 1312, 2665, 267, 543, 729, 1202, 1005, 621, 676, 5885, 1200, 538, 12996, 269, 2342, 26218, 519, 10100, 547, 19060, 547, 519, 8878, 540, 519, 2717, 525, 607, 4279, 6628, 16668, 1200, 18156, 585, 19934, 538, 476, 4489, 275, 563, 15578, 654, 305, 2177, 14899, 5508, 5990, 623, 5357, 2464, 454, 7712, 519, 21109, 540, 519, 2063, 18326, 519, 865, 10777, 8003, 540, 12996, 1185, 1044, 16760, 896, 519, 2182, 24933, 540, 6739, 1313, 7100, 269, 1809, 519, 2717, 525, 896, 4436, 4341, 723, 11124, 3592, 8449, 267, 1498, 789, 1185, 711, 2016, 741, 1727, 816, 832, 519, 1482, 28195, 585, 10792, 1145, 269, 769, 1312, 11182, 519, 4674, 814, 1044, 547, 24807, 856, 1169, 20276, 656, 540, 14470, 22874, 269, 634, 5065, 11469, 729, 24193, 538, 519, 13039, 267, 538, 519, 3506, 267, 538, 1857, 4025, 267, 1256, 538, 4357, 2911, 269, 4436, 8387, 19557, 693, 9486, 547, 3605, 952, 14470, 729, 1373, 9275, 269, 769, 519, 3506, 519, 1453, 941, 6026, 1256, 547, 7281, 538, 4436, 610, 6739, 267, 543, 941, 8486, 559, 612, 569, 1166, 690, 3022, 585, 30671, 610, 585, 22406, 17418, 547, 1451, 269, 14268, 945, 1486, 6479, 941, 5641, 883, 21569, 269, 16707, 9619, 538, 14470, 941, 4371, 693, 519, 2022, 5604, 269, 1879, 789, 941, 1572, 585, 267, 519, 32358, 729, 18486, 543, 535, 1441, 563, 1103, 6739, 12996, 519, 14470, 23464, 1765, 4936, 23597, 1765, 26200, 5260, 720, 569, 30201, 3176, 267, 27226, 540, 741, 1019, 665, 525, 525, 267, 9141, 689, 741, 17870, 1080, 269, 769, 4436, 12996, 606, 2895, 29989, 729, 5641, 883, 21569, 585, 1079, 1296, 543, 7333, 1639, 585, 2348, 15189, 547, 12990, 4436, 585, 14470, 538, 1010, 2533, 543, 10732, 17469, 269, 634, 3646, 9859, 1996, 519, 14470, 5132, 538, 5125, 941, 896, 519, 4287, 540, 519, 4583, 737, 738, 24642, 2086, 325, 267, 799, 547, 6377, 267, 855, 585, 519, 4187, 540, 519, 27469, 267, 1522, 581, 25412, 922, 22266, 2462, 582, 787, 2390, 782, 2342, 563, 305, 17892, 3775, 5523, 519, 8003, 540, 12996, 540, 922, 1360, 2012, 267, 543, 1572, 621, 519, 966, 626, 3121, 19435, 269, 4706, 1004, 941, 7333, 1639, 676, 519, 5215, 547, 27584, 4997, 267, 2394, 972, 7283, 711, 2614, 547, 11489, 519, 3037, 269, 5125, 267, 538, 476, 6642, 276, 267, 585, 322, 4601, 1244, 9285, 811, 982, 17288, 8536, 2717, 525, 593, 17288, 32732, 3108, 262, 5469, 267, 543, 729, 1287, 8078, 539, 547, 1104, 4457, 3579, 625, 547, 1491, 741, 4025, 538, 2872, 563, 13828, 6082, 6836, 547, 1163, 601, 519, 2717, 525, 676, 585, 322, 4601, 9140, 741, 3338, 543, 9513, 873, 547, 28592, 610, 16586, 269, 1809, 519, 2717, 525, 6450, 4454, 5488, 982, 789, 1223, 581, 1163, 10187, 730, 267, 543, 4031, 1996, 741, 9562, 540, 2244, 1185, 547, 581, 5293, 269, 5125, 2322, 971, 5230, 9204, 593, 5656, 11262, 676, 2717, 525, 602, 519, 32066, 787, 3576, 547, 2713, 538, 642, 753, 267, 543, 2322, 14743, 896, 741, 9269, 18396, 3591, 543, 8970, 2275, 1026, 338, 269, 2201, 519, 552, 557, 540, 519, 1158, 2112, 519, 2398, 11701, 23328, 5293, 513, 1869, 811, 11826, 1163, 10187, 566, 3915, 267, 540, 799, 8361, 330, 590, 1329, 330, 1171, 545, 345, 5206, 912, 763, 2717, 525, 267, 945, 616, 5396, 540, 519, 2398, 11701, 521, 576, 335, 614, 267, 786, 693, 2063, 581, 9141, 8521, 267, 689, 602, 3037, 799, 568, 741, 5065, 2244, 267, 602, 11537, 3618, 1141, 585, 5553, 5481, 723, 1044, 4535, 267, 723, 5030, 267, 543, 616, 12617, 563, 10190, 581, 325, 749, 519, 1390, 2112, 269, 7043, 1354, 14088, 631, 1157, 1171, 545, 345, 267, 10564, 540, 12996, 781, 1625, 326, 2218, 267, 1185, 7281, 539, 538, 1010, 834, 299, 527, 1415, 13426, 5804, 6739, 267, 22341, 267, 543, 2398, 11701, 6125, 720, 5838, 721, 267, 744, 7083, 563, 3528, 519, 12004, 10455, 3256, 540, 519, 13977, 8536, 29843, 540, 4446, 267, 945, 5747, 585, 5132, 543, 5191, 2676, 23437, 1853, 721, 267, 744, 7083, 563, 3528, 519, 12004, 10455, 3256, 540, 8938, 8536, 12504, 540, 26285, 320, 267, 1793, 4381, 1229, 585, 5132, 543, 5191, 267, 5838, 721, 267, 744, 7083, 563, 3528, 519, 12004, 10455, 3256, 540, 519, 6107, 540, 26403, 807, 267, 1793, 664, 676, 519, 5679, 719, 267, 4666, 538, 519, 15183, 267, 543, 538, 454, 1410, 850, 267, 5838, 721, 267, 744, 7083, 563, 3528, 519, 16398, 267, 17229, 267, 543, 7985, 902, 540, 782, 14470, 14586, 267, 608, 3796, 267, 543, 19623, 338, 267, 5838, 721, 267, 744, 7083, 563, 2690, 513, 8471, 2112, 585, 519, 5191, 540, 6082, 649, 14850, 2465, 577, 634, 324, 267, 744, 7083, 2336, 288, 21832, 661, 6938, 5508, 24639, 13697, 21068, 454, 763, 2112, 3976, 533, 924, 3585, 14850, 4454, 814, 2097, 269, 4935, 2484, 621, 814, 4547, 547, 519, 2717, 525, 1152, 1007, 7092, 543, 1007, 838, 565, 2747, 269, 11408, 741, 1727, 816, 832, 723, 1044, 30251, 543, 1219, 22460, 547, 519, 15125, 16967, 6577, 4182, 950, 922, 5351, 729, 2877, 538, 2112, 269, 4935, 538, 519, 30473, 6261, 337, 11701, 2782, 2398, 17892, 3526, 539, 519, 946, 540, 14470, 3084, 2011, 338, 607, 6370, 268, 1506, 332, 985, 950, 14470, 10136, 941, 7722, 269, 2991, 519, 2112, 621, 1586, 2968, 1726, 1783, 547, 1404, 610, 547, 2206, 873, 563, 1103, 713, 3152, 2112, 6576, 729, 1101, 547, 3343, 547, 1309, 329, 1961, 1200, 14470, 1583, 12028, 269, 4201, 16860, 729, 16219, 547, 519, 2717, 525, 538, 1200, 2531, 514, 687, 267, 543, 538, 8895, 545, 807, 267, 1454, 540, 799, 1352, 1185, 9676, 689, 519, 3243, 20379, 282, 855, 519, 605, 17474, 3357, 711, 689, 519, 595, 345, 541, 610, 519, 667, 6373, 267, 855, 689, 513, 2489, 538, 519, 2361, 267, 543, 1185, 711, 3144, 1198, 950, 519, 593, 337, 2313, 540, 519, 16586, 22755, 519, 28592, 689, 14470, 8513, 269, 17726, 1176, 27502, 4553, 519, 6739, 4838, 267, 543, 1018, 519, 595, 345, 541, 543, 1010, 2229, 1522, 723, 5497, 3257, 585, 519, 2717, 525, 729, 2124, 326, 730, 547, 519, 1362, 540, 17033, 4081, 2055, 563, 30051, 4553, 676, 605, 8010, 532, 519, 5137, 540, 513, 1007, 8003, 540, 12996, 267, 1500, 909, 540, 6739, 22590, 540, 799, 519, 4436, 4229, 941, 538, 13567, 269, 13518, 5941, 693, 519, 942, 267, 713, 814, 607, 2943, 2179, 539, 547, 1360, 2370, 269, 898, 729, 3432, 1176, 4362, 547, 581, 8806, 513, 4436, 3926, 585, 9870, 606, 7952, 540, 6739, 2717, 525, 547, 4339, 1996, 6576, 563, 288, 10806, 729, 29064, 267, 855, 1100, 4622, 3957, 267, 6862, 1022, 11156, 19775, 269, 634, 865, 10777, 14628, 10806, 729, 5701, 8806, 607, 9676, 8513, 267, 543, 729, 726, 1495, 1229, 1510, 23502, 269, 634, 4436, 530, 30368, 602, 4682, 883, 12996, 8900, 4682, 856, 2407, 269, 1924, 16970, 941, 519, 30201, 1903, 267, 865, 1202, 520, 4192, 519, 3169, 687, 540, 519, 32415, 16586, 267, 602, 2717, 525, 945, 1185, 554, 730, 6576, 5828, 1394, 547, 1200, 609, 513, 4743, 3592, 540, 11505, 267, 607, 519, 7646, 518, 540, 1079, 1727, 816, 832, 269, 634, 1788, 540, 519, 8003, 540, 12996, 896, 4436, 13384, 11208, 4667, 547, 723, 1044, 18374, 16618, 563, 1432, 267, 1287, 267, 568, 547, 2097, 547, 12996, 856, 540, 519, 1459, 2112, 286, 634, 2243, 814, 19310, 1243, 513, 21318, 540, 4267, 267, 855, 547, 4892, 519, 835, 1034, 22265, 543, 1713, 24969, 618, 568, 602, 540, 519, 5518, 540, 519, 2136, 2276, 563, 11266, 2464, 2839, 7728, 654, 6579, 306, 2177, 24202, 20796, 9169, 5508, 670, 8008, 292, 454, 19285, 1491, 621, 585, 11292, 2437, 1767, 6004, 269, 14355, 538, 1010, 2232, 547, 6837, 593, 5130, 476, 2420, 267, 476, 4489, 278, 267, 834, 604, 594, 949, 14679, 2390, 513, 2582, 1383, 267, 602, 2829, 5443, 10876, 616, 8815, 602, 972, 1058, 581, 513, 8087, 267, 4830, 267, 543, 14628, 12996, 4799, 26796, 9039, 540, 519, 2055, 547, 581, 12306, 693, 519, 1439, 540, 519, 2112, 814, 519, 5518, 1044, 3833, 865, 1808, 540, 19039, 766, 269, 8616, 909, 547, 519, 4090, 950, 646, 12038, 519, 6644, 540, 2829, 5443, 1185, 711, 1044, 3833, 865, 796, 29434, 748, 607, 646, 8604, 547, 1589, 269, 589, 9645, 1153, 540, 1857, 1235, 1185, 24016, 602, 12996, 1058, 581, 1500, 14628, 855, 711, 4830, 269, 1358, 4371, 602, 519, 647, 10045, 664, 1399, 1058, 581, 11292, 547, 6576, 267, 4171, 2829, 5443, 1058, 1852, 519, 4914, 1894, 540, 519, 1007, 1533, 269, 1358, 11329, 547, 519, 24360, 2594, 540, 12996, 896, 1200, 1378, 15438, 607, 513, 2601, 1946, 1352, 1058, 711, 581, 2451, 547, 1200, 1378, 3457, 563, 7712, 602, 942, 519, 28592, 723, 24111, 543, 24057, 3497, 741, 595, 345, 541, 543, 519, 29904, 6483, 269, 1358, 723, 711, 2943, 18617, 519, 1158, 602, 789, 616, 19579, 540, 2324, 856, 741, 1378, 22038, 267, 543, 1247, 602, 8969, 6818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 454, 295, 4501, 480, 273, 270, 4501, 480, 343, 454, 4501, 480, 476, 273, 18750, 264, 815, 476, 272, 1107, 273, 345, 454, 273, 28911, 814, 513, 476, 273, 526, 1931, 4642, 693, 28911, 815, 476, 271, 563, 382, 509, 670, 4501, 480, 273, 270, 4501, 480, 343, 454, 4501, 480, 630, 22886, 994, 22428, 579, 271, 3287, 264, 568, 513, 3070, 269, 3973, 579, 271, 3287, 264, 1341, 16547, 1341, 645, 568, 454, 10193, 513, 3070, 269, 10261, 10465, 2175, 547, 4368, 454, 340, 13627, 3287, 1916, 278, 454, 291, 20986, 540, 17583, 3213, 324, 13266, 454, 31236, 454, 349, 454, 273, 19559, 316, 815, 1299, 338, 1575, 274, 282, 26420, 722, 367, 263, 339, 264, 26420, 6025, 454, 327, 4501, 480, 273, 270, 4501, 480, 343, 454, 395, 484, 1107, 562, 264, 19049, 454, 4501, 480, 454, 268, 31236, 454, 31236, 454, 26594, 10230, 9076, 1155, 786, 711, 27721, 952, 454, 21156, 267, 946, 519, 27715, 3830, 547, 25666, 606, 454, 324, 3394, 7407, 1966, 563, 395, 484, 6025, 994, 284, 476, 273, 1299, 1962, 341, 8663, 282, 535, 271, 25208, 316, 395, 484, 263, 273, 339, 454, 395, 484, 454, 395, 484, 1107, 737, 994, 330, 454, 395, 484, 16357, 263, 339, 994, 284, 476, 279, 1299, 1962, 341, 8663, 282, 535, 271, 25208, 316, 395, 484, 16357, 263, 273, 339, 454, 1700, 737, 994, 395, 484, 16357, 454, 395, 484, 16357, 454, 330, 454, 349, 454, 349, 454, 395, 484, 6025, 454, 395, 484, 1107, 562, 264, 815, 476, 273, 1299, 1962, 341, 8663, 282, 554, 271, 26514, 395, 484, 263, 273, 339, 454, 395, 484, 1107, 476, 273, 333, 910, 12467, 11372, 17586, 543, 454, 18204, 3433, 454, 3383, 454, 273, 454, 273, 454, 327, 4501, 480, 273, 270, 4501, 480, 343, 454, 4501, 480, 273, 270, 4501, 480, 343, 454, 4501, 480, 1496, 333, 316, 815, 476, 279, 1299, 1962, 341, 8663, 282, 535, 271, 25208, 316, 1299, 1962, 341, 8663, 282, 554, 271, 26514, 327, 454, 4501, 480, 1496, 273, 333, 1341, 910, 737, 2639, 330, 454, 279, 454, 275, 454, 291, 879, 2041, 577, 625, 476, 277, 454, 2675, 2718, 1599, 454, 5575, 12045, 454, 1993, 667, 879, 2041, 577, 625, 476, 277, 454, 2675, 2718, 1599, 454, 280, 454, 3725, 6716, 1125, 607, 454, 327, 4501, 480, 273, 270, 4501, 480, 4501, 480, 343, 273, 19559, 316, 815, 476, 279, 261, 1962, 341, 8663, 3248, 261, 1962, 341, 8663, 282, 554, 271, 314, 332, 1107, 476, 273, 333, 28488, 261, 1962, 341, 8663, 3248, 261, 1962, 341, 8663, 282, 535, 271, 314, 332, 1107, 737, 316, 327, 4501, 480, 273, 270, 4501, 480, 4501, 480, 343, 273, 25208, 7481, 332, 454, 330, 454, 30467, 1106, 454, 327, 4501, 480, 273, 270, 4501, 480, 4501, 480, 343, 273, 815, 476, 279, 589, 645, 554, 4501, 480, 273, 270, 4501, 480, 4501, 480, 343, 273, 454, 332, 815, 476, 273, 333, 30492, 324, 3394, 7407, 1966, 454, 23921, 513, 3339, 1436, 2783, 454, 2224, 519, 8090, 454, 1993, 519, 18440, 1599, 912, 2252, 554, 271, 19559, 316, 814, 693, 2547, 476, 274, 21325, 693, 12631, 267, 649, 666, 2328, 454, 31236, 454, 349, 454, 261, 1962, 341, 8663, 282, 1299, 332, 2222, 282, 273, 25208, 316, 395, 484, 454, 395, 484, 6025, 1107, 737, 264, 815, 512, 273, 6902, 1299, 332, 2222, 282, 273, 25208, 316, 815, 1299, 338, 1575, 274, 282, 512, 273, 395, 484, 6025, 1107, 737, 264, 19049, 454, 330, 454, 268, 31236, 454, 31236, 454, 349, 454, 17843, 5573, 7466, 267, 9062, 676, 26420, 6025, 264, 543, 11753, 912, 261, 1962, 341, 8663, 282, 1299, 332, 2222, 282, 273, 25208, 316, 327, 4501, 480, 273, 270, 4501, 480, 4501, 480, 343, 273, 15631, 737, 316, 815, 476, 273, 2336, 330, 454, 31863, 1944, 2783, 454, 1015, 454, 276, 454, 13528, 3121, 585, 519, 8090, 540, 519, 18440, 1599, 454, 31236, 454, 261, 332, 2222, 282, 737, 9041, 1299, 338, 1575, 274, 282, 261, 338, 1575, 274, 282, 16483, 16483, 395, 484, 454, 395, 484, 263, 16483, 16483, 910, 737, 264, 323, 16483, 16483, 454, 31236, 454, 268, 31236, 454, 31236, 454, 13434, 27641, 4542, 454, 31236, 454, 261, 332, 2222, 282, 876, 815, 1299, 338, 1575, 274, 282, 26420, 263, 16483, 264, 323, 16483, 454, 395, 484, 16483, 26018, 815, 476, 272, 454, 261, 332, 2222, 282, 337, 271, 21591, 268, 31236, 454, 31236, 454, 261, 332, 2222, 282, 737, 21591, 337, 268, 272, 454, 301, 454, 328, 454, 272, 454, 337, 454, 261, 1962, 341, 8663, 282, 554, 271, 25208, 316, 330, 337, 1107, 1775, 264, 261, 332, 2222, 3248, 261, 332, 2222, 282, 271, 454, 273, 337, 910, 476, 272, 1299, 1962, 341, 8663, 282, 630, 1775, 3738, 630, 261, 1962, 341, 8663, 3248, 330, 284, 271, 454, 328, 284, 271, 454, 261, 332, 2222, 282, 337, 454, 261, 1962, 341, 8663, 282, 630, 678, 3738, 330, 8573, 454, 271, 454, 337, 284, 271, 454, 1556, 454, 1692, 547, 17997, 10465, 2175, 888, 3080, 2856, 1107, 970, 1905, 25544, 513, 25168, 333, 268, 272, 6706, 912, 340, 3287, 264, 815, 1299, 1962, 341, 8663, 282, 524, 25208, 316, 395, 484, 454, 395, 484, 329, 267, 330, 3287, 264, 815, 1299, 1962, 341, 8663, 282, 513, 26514, 343, 454, 330, 454, 284, 271, 454, 9824, 622, 524, 25208, 316, 547, 513, 314, 2639, 10843, 8090, 269, 6987, 754, 524, 25208, 2639, 2421, 14178, 5817, 9971, 563, 15761, 1905, 565, 730, 9971, 1058, 14183, 10465, 454, 6247, 571, 6493, 912, 291, 597, 747, 2280, 912, 335, 268, 272, 454, 340, 3287, 271, 264, 815, 14668, 2485, 509, 1299, 1962, 341, 8663, 282, 513, 26514, 343, 454, 271, 815, 10382, 454, 284, 271, 454, 10468, 30977, 912, 335, 268, 272, 454, 340, 21948, 343, 271, 264, 815, 16061, 2485, 509, 1299, 1962, 341, 8663, 282, 513, 26514, 343, 454, 284, 16061, 454, 271, 268, 272, 454, 284, 271, 454, 3519, 14259, 842, 454, 517, 513, 314, 2639, 1321, 454, 277, 454, 3519, 591, 10885, 454, 306, 11853, 18440, 1599, 912, 395, 484, 3287, 994, 284, 476, 273, 1299, 1962, 341, 8663, 282, 535, 271, 25208, 316, 395, 484, 263, 273, 343, 454, 1700, 737, 994, 395, 484, 454, 395, 484, 454, 330, 454, 2171, 1031, 519, 17146, 543, 26987, 8747, 267, 26420, 329, 267, 330, 3287, 1070, 547, 454, 1910, 660, 1127, 1125, 519, 3070, 269, 1403, 674, 271, 263, 22886, 994, 11027, 267, 1287, 454, 22886, 814, 533, 21325, 693, 12631, 454, 933, 666, 4010, 2099, 3435, 799, 616, 4110, 454, 335, 1107, 476, 272, 21335, 563, 1103, 2489, 267, 649, 4126, 547, 3035, 606, 16977, 3070, 454, 7474, 31136, 899, 454, 340, 3287, 264, 815, 1299, 1962, 341, 8663, 282, 524, 25208, 316, 395, 484, 454, 395, 484, 329, 267, 330, 3287, 264, 1341, 744, 22607, 335, 994, 330, 454, 3602, 454, 327, 21591, 272, 454, 273, 329, 454, 284, 19437, 540, 18440, 3252, 454, 1724, 454, 24965, 794, 538, 5470, 607, 513, 1599, 540, 554, 454, 1691, 454, 278, 454, 11372, 4593, 1446, 23830, 454, 324, 3052, 269, 3980, 480, 273, 340, 270, 4501, 480, 454, 4501, 480, 343, 273, 815, 535, 454, 22091, 663, 607, 454, 297, 454, 340, 815, 1299, 1962, 341, 8663, 282, 524, 330, 395, 484, 3287, 1107, 737, 264, 1341, 1299, 1962, 341, 8663, 282, 1299, 1962, 341, 8663, 282, 546, 329, 267, 29220, 263, 273, 329, 1535, 10275, 994, 329, 284, 271, 737, 454, 330, 454, 29727, 518, 7219, 3947, 513, 1062, 454, 298, 340, 815, 535, 454, 5976, 6093, 13366, 454, 31236, 454, 4501, 480, 273, 454, 298, 332, 19885, 815, 476, 2420, 329, 1299, 338, 1575, 274, 282, 3980, 480, 4501, 480, 343, 273, 530, 3287, 1107, 562, 264, 342, 3287, 2173, 264, 11459, 454, 268, 31236, 454, 31236, 454, 1428, 454, 22546, 540, 2776, 935, 1288, 518, 454, 31220, 31220, 11372, 4593, 1446, 4834, 281, 630, 310, 298, 310, 307, 7565, 310, 340, 264, 815, 654, 325, 454, 7093, 935, 1288, 539, 5119, 281, 918, 2181, 322, 815, 667, 310, 298, 310, 31813, 454, 26594, 15497, 26608, 1288, 518, 454, 261, 867, 325, 282, 272, 454, 261, 5055, 31309, 282, 476, 272, 454, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 291, 284, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 261, 5055, 31309, 3248, 261, 2254, 3248, 272, 454, 273, 454, 272, 454, 273, 454, 272, 454, 275, 454, 272, 454, 275, 454, 261, 867, 332, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 261, 571, 31309, 3248, 272, 1299, 571, 31309, 3248, 275, 261, 2765, 1691, 3248, 1626, 454, 279, 454, 12385, 18350, 7151, 454, 301, 10179, 673, 3070, 540, 3487, 658, 454, 17843, 658, 12307, 454, 1704, 454, 763, 9046, 454, 272, 269, 29581, 3128, 16379, 3830, 281, 579, 16282, 1341, 513, 579, 815, 535, 454, 1892, 533, 284, 277, 3248, 260, 11352, 540, 5951, 2280, 10325, 630, 335, 2381, 284, 274, 994, 1892, 513, 284, 271, 454, 1892, 700, 815, 476, 274, 3248, 260, 11270, 563, 1892, 562, 2381, 815, 476, 273, 282, 4939, 29358, 6571, 454, 1892, 562, 10946, 815, 476, 278, 282, 4939, 26228, 6571, 454, 1240, 454, 280, 454, 11405, 693, 22375, 476, 273, 454, 866, 454, 11405, 693, 22375, 476, 274, 454, 736, 454, 1015, 454, 11405, 693, 22375, 476, 275, 454, 2641, 454, 11405, 693, 22375, 476, 276, 454, 2420, 454, 1556, 454, 11405, 693, 22375, 476, 277, 454, 2537, 454, 11405, 693, 22375, 476, 278, 454, 2190, 454, 1321, 454, 3519, 591, 10885, 11778, 454, 261, 25885, 282, 261, 25885, 282, 26958, 3128, 16379, 9386, 21591, 276, 269, 4200, 274, 277, 454, 1839, 454, 1724, 454, 3499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]