Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 3488, 955, 268, 2271, 839, 4328, 519, 8827, 476, 955, 268, 5073, 3546, 2063, 318, 4486, 815, 1592, 28956, 6958, 516, 336, 269, 12399, 28829, 15631, 272, 2639, 3546, 5385, 318, 1706, 4461, 815, 1592, 10857, 770, 318, 4486, 21858, 263, 12887, 4917, 3546, 4908, 21014, 10857, 770, 318, 4486, 994, 3546, 4129, 1518, 815, 6936, 454, 3546, 14556, 1518, 815, 8771, 454, 2018, 1101, 16229, 815, 703, 263, 1410, 4219, 318, 1706, 4461, 314, 271, 7481, 2018, 2034, 16229, 815, 703, 263, 1410, 4219, 318, 1706, 4461, 314, 272, 7481, 2018, 4994, 6958, 1009, 318, 1410, 4219, 815, 3070, 28827, 6600, 1009, 16229, 994, 2018, 4994, 318, 16149, 318, 1410, 4219, 815, 3070, 28827, 263, 16149, 16229, 994, 2018, 3070, 27709, 6958, 1009, 318, 1410, 4219, 316, 815, 2034, 16229, 454, 2018, 3070, 27709, 318, 16149, 318, 1410, 4219, 316, 815, 1101, 16229, 692, 1038, 8640, 1279, 318, 3410, 318, 3438, 13843, 476, 2004, 543, 711, 4908, 912, 2018, 2736, 692, 1038, 8378, 815, 1265, 318, 31371, 4011, 3125, 4433, 1828, 267, 9598, 15058, 318, 31371, 26092, 267, 562, 318, 9953, 284, 333, 318, 9953, 994, 1038, 1948, 1820, 2891, 10468, 662, 26092, 281, 14307, 7003, 263, 31371, 4011, 3125, 11723, 1038, 4994, 15058, 10734, 652, 5334, 1828, 815, 476, 271, 454, 1038, 1655, 5334, 1828, 815, 8378, 27709, 15058, 10734, 652, 5334, 1828, 2639, 1038, 1655, 6831, 739, 16229, 815, 7003, 6357, 652, 5334, 1828, 264, 910, 476, 272, 692, 1038, 2250, 6831, 739, 815, 1655, 6831, 739, 454, 1038, 1336, 815, 8771, 454, 1038, 1247, 1336, 568, 8771, 912, 2018, 1101, 318, 1410, 4219, 17045, 267, 2034, 318, 1410, 4219, 17045, 815, 1496, 3910, 11713, 2018, 562, 318, 9953, 6831, 3300, 815, 476, 271, 454, 2018, 585, 1775, 538, 2039, 12759, 6357, 652, 5334, 1828, 15892, 3546, 952, 1655, 5334, 1828, 5157, 316, 11203, 3070, 5157, 14158, 7386, 1101, 318, 1410, 4219, 17045, 6910, 6357, 652, 5334, 1828, 5157, 7481, 7386, 2034, 318, 1410, 4219, 17045, 6910, 4433, 1828, 5157, 7481, 7386, 562, 318, 9953, 6831, 3300, 6834, 476, 272, 454, 7386, 952, 562, 318, 9953, 6831, 3300, 2652, 562, 318, 9953, 912, 13376, 2736, 692, 2018, 5385, 815, 1101, 318, 1410, 4219, 17045, 1341, 2034, 318, 1410, 4219, 17045, 454, 2018, 1942, 815, 8378, 27709, 15058, 10734, 652, 5334, 1828, 6012, 12895, 6831, 739, 16229, 2639, 2018, 1948, 1306, 17508, 7355, 281, 952, 519, 3070, 568, 1732, 1287, 1491, 621, 1100, 2339, 952, 568, 9184, 340, 563, 2018, 952, 1942, 2999, 1655, 6831, 739, 912, 3546, 9184, 340, 8217, 6910, 263, 1410, 4219, 994, 3546, 1655, 6831, 739, 815, 1942, 454, 3546, 3070, 815, 1655, 5334, 1828, 11468, 268, 272, 2639, 3546, 1655, 5334, 1828, 318, 1197, 815, 3070, 454, 3546, 1336, 815, 6936, 454, 3546, 521, 815, 1496, 1598, 9217, 264, 585, 1775, 538, 5385, 2639, 3546, 1954, 336, 318, 12407, 815, 22207, 8339, 21860, 4433, 994, 3546, 952, 1954, 336, 318, 12407, 538, 4908, 912, 7386, 4908, 314, 325, 516, 336, 318, 12407, 316, 6834, 476, 272, 454, 3546, 3116, 912, 7386, 4908, 314, 325, 516, 336, 318, 12407, 316, 815, 476, 272, 454, 2018, 1948, 10374, 2165, 3965, 454, 2018, 952, 1101, 318, 1410, 4219, 17045, 1341, 2034, 318, 1410, 4219, 17045, 711, 538, 9184, 340, 8217, 543, 26444, 7386, 2034, 318, 1410, 4219, 17045, 1341, 1101, 318, 1410, 4219, 17045, 711, 538, 9184, 340, 8217, 912, 3546, 9184, 340, 8217, 6910, 263, 1410, 4219, 994, 3546, 1336, 815, 6936, 454, 3546, 3070, 815, 1655, 5334, 1828, 11468, 268, 272, 2639, 3546, 1942, 815, 8378, 27709, 15058, 10734, 652, 5334, 1828, 6012, 12895, 6831, 739, 16229, 2639, 3546, 952, 1942, 2999, 1655, 6831, 739, 912, 7386, 1655, 6831, 739, 815, 1942, 454, 7386, 1655, 5334, 1828, 318, 1197, 815, 3070, 454, 7386, 521, 815, 1496, 1598, 9217, 264, 585, 1775, 538, 5385, 2639, 7386, 1954, 336, 318, 12407, 815, 22207, 8339, 21860, 4433, 994, 7386, 952, 1954, 336, 318, 12407, 538, 4908, 912, 13376, 4908, 314, 325, 516, 336, 318, 12407, 316, 6834, 476, 272, 454, 7386, 3116, 912, 13376, 4908, 314, 325, 516, 336, 318, 12407, 316, 815, 476, 272, 454, 2018, 8640, 4994, 15058, 10734, 652, 5334, 1828, 2999, 7003, 263, 31371, 4011, 3125, 2187, 3546, 1655, 5334, 1828, 815, 8378, 27709, 15058, 10734, 652, 5334, 1828, 2639, 3546, 4994, 15058, 10734, 652, 5334, 1828, 815, 4994, 15058, 10734, 652, 5334, 1828, 1341, 476, 272, 692, 1038, 1247, 7003, 6025, 629, 340, 8217, 264, 3436, 2450, 912, 2018, 9184, 340, 8217, 21014, 263, 271, 2020, 1038, 1293, 815, 1293, 1341, 476, 272, 692, 825, 1820, 6600, 262, 296, 614, 281, 2715, 12248, 9574, 8779, 281, 2715, 12895, 6831, 739, 348, 5073, 825, 1655, 5334, 1828, 318, 1197, 21014, 8987, 272, 994, 825, 2132, 1655, 5334, 1828, 318, 1197, 267, 1655, 6831, 739, 267, 1239, 7531, 3698, 1184, 18316, 17750, 31526, 12173, 2187, 825, 5727, 901, 1599, 3898, 519, 2798, 538, 513, 3758, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 3758, 12173, 281, 1193, 454, 2018, 8745, 540, 519, 3758, 609, 519, 2798, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 2798, 281, 1592, 454, 2018, 5903, 609, 519, 10974, 540, 519, 4872, 563, 825, 8173, 825, 609, 1930, 31526, 12173, 264, 607, 535, 912, 1038, 3515, 815, 535, 18667, 6050, 4590, 825, 4994, 815, 3515, 28827, 3488, 301, 7495, 292, 318, 4596, 16704, 318, 306, 4488, 3582, 14826, 5073, 825, 10974, 815, 3515, 27709, 1341, 476, 272, 281, 910, 272, 2639, 825, 2798, 815, 11713, 825, 585, 11282, 538, 10974, 912, 1038, 11282, 815, 11282, 18622, 2897, 28361, 333, 3299, 1412, 5073, 1038, 9041, 267, 1535, 267, 586, 815, 11282, 21858, 4590, 1038, 2798, 6910, 20719, 262, 343, 9166, 10581, 3287, 1070, 1412, 344, 9166, 10581, 12169, 14587, 2020, 825, 2132, 2798, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 6889, 307, 629, 340, 9612, 5602, 825, 16163, 518, 14491, 318, 30348, 18692, 1038, 29038, 325, 20350, 1038, 834, 734, 17572, 20350, 1038, 1826, 284, 1598, 2676, 1038, 948, 6889, 26073, 547, 519, 3758, 5627, 519, 1239, 20350, 1038, 2838, 18989, 2676, 825, 12467, 825, 16163, 518, 14491, 318, 30348, 18692, 1038, 29038, 328, 20350, 1038, 834, 734, 296, 614, 725, 20350, 1038, 1826, 25507, 2676, 1038, 948, 6889, 1692, 1082, 23200, 519, 5690, 1058, 1685, 20350, 1038, 2838, 18989, 2676, 825, 12467, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 3403, 18316, 815, 26571, 12171, 850, 454, 825, 3403, 12173, 815, 3403, 18316, 21858, 3488, 9538, 25011, 271, 2639, 825, 2798, 815, 1184, 18316, 17750, 9272, 18316, 994, 825, 1535, 318, 9557, 815, 5286, 15126, 8443, 335, 9131, 343, 11172, 585, 533, 538, 2798, 7481, 825, 586, 318, 9557, 815, 5286, 15126, 8443, 335, 9131, 344, 11172, 585, 533, 538, 2798, 20285, 825, 1948, 8641, 519, 2798, 454, 825, 1948, 12301, 31892, 2660, 3287, 318, 9557, 267, 586, 318, 9557, 994, 825, 1948, 585, 1775, 267, 512, 868, 538, 26246, 3799, 3941, 2187, 825, 1948, 672, 12301, 269, 534, 2254, 622, 6025, 868, 267, 630, 343, 318, 9557, 5157, 3910, 586, 318, 9557, 5157, 28413, 825, 1948, 12301, 20481, 10797, 825, 1948, 1820, 263, 9557, 994, 825, 2119, 912, 1038, 609, 1930, 6600, 262, 346, 6358, 12173, 20731, 31371, 4011, 3125, 17902, 10807, 607, 535, 912, 2018, 3515, 815, 535, 18667, 6050, 4590, 2018, 3355, 318, 31371, 26092, 815, 859, 531, 263, 6050, 314, 271, 7481, 2018, 1948, 1820, 263, 30976, 318, 31371, 26092, 994, 825, 4849, 594, 302, 13286, 912, 1038, 1376, 22710, 815, 942, 4590, 1038, 1820, 6600, 262, 17653, 908, 27199, 26092, 5073, 1038, 3355, 318, 31371, 26092, 815, 5352, 318, 31371, 26092, 263, 9557, 994, 1038, 1820, 263, 30976, 318, 31371, 26092, 994, 1038, 1714, 17863, 22710, 815, 942, 3890, 910, 1376, 22710, 454, 1038, 1820, 6600, 262, 19226, 1639, 519, 5108, 540, 519, 8378, 543, 621, 3576, 281, 2715, 601, 17863, 22710, 348, 338, 5073, 1038, 8378, 18316, 815, 1930, 6600, 262, 346, 6358, 12173, 20731, 31371, 4011, 3125, 17902, 3299, 834, 342, 5602, 1038, 8378, 18316, 22182, 6600, 262, 346, 30976, 318, 31371, 26092, 348, 5073, 1038, 8378, 18316, 25379, 10797, 825, 9136, 815, 1592, 263, 9792, 12759, 263, 9557, 21875, 825, 2119, 912, 1038, 609, 1930, 6600, 262, 346, 6358, 12173, 20731, 14140, 5334, 1828, 17902, 10807, 607, 535, 912, 2018, 3515, 815, 535, 18667, 6050, 4590, 2018, 535, 5334, 1828, 815, 3515, 314, 271, 4940, 516, 2897, 28361, 333, 3299, 1412, 5073, 2018, 1101, 5334, 1828, 815, 1592, 6600, 5334, 1828, 21858, 263, 12887, 4917, 2018, 1101, 5334, 1828, 815, 1496, 842, 9217, 264, 585, 1775, 538, 1101, 5334, 1828, 2639, 2018, 3845, 15058, 6958, 1009, 5334, 1828, 815, 10581, 263, 6050, 314, 272, 7481, 2018, 1948, 1820, 6600, 1009, 5334, 1828, 267, 3845, 15058, 6958, 1009, 5334, 1828, 994, 825, 4849, 594, 302, 13286, 912, 1038, 1376, 22710, 815, 942, 4590, 1038, 1820, 6600, 262, 17653, 908, 3689, 8827, 5073, 1038, 1101, 5334, 1828, 267, 3845, 15058, 6958, 1009, 5334, 1828, 815, 5352, 6958, 1009, 5334, 1828, 3799, 3941, 2676, 14030, 14030, 17264, 3355, 318, 31371, 26092, 994, 1038, 1820, 6600, 1009, 5334, 1828, 267, 3845, 15058, 6958, 1009, 5334, 1828, 994, 1038, 1714, 17863, 22710, 815, 942, 3890, 910, 1376, 22710, 454, 1038, 1820, 6600, 262, 19226, 1639, 519, 5108, 540, 519, 3689, 8827, 543, 621, 3576, 281, 2715, 601, 17863, 22710, 348, 338, 5073, 1038, 521, 815, 1496, 1598, 9217, 264, 585, 1775, 538, 1101, 5334, 1828, 2639, 1038, 31329, 5334, 1828, 318, 4751, 539, 815, 22207, 8339, 21860, 4433, 994, 1038, 1101, 5334, 1828, 18316, 815, 1930, 6600, 262, 346, 6358, 12173, 20731, 14140, 5334, 1828, 17902, 3299, 834, 342, 5602, 1038, 1101, 5334, 1828, 18316, 22182, 6600, 262, 346, 325, 626, 5334, 1828, 318, 4751, 539, 4153, 333, 18097, 2700, 15058, 6958, 1009, 5334, 1828, 348, 5073, 1038, 1101, 5334, 1828, 18316, 25379, 10797, 825, 1948, 7827, 713, 1871, 547, 2196, 519, 3009, 2789, 2053, 563, 825, 562, 815, 476, 272, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 1820, 28361, 333, 5073, 1038, 621, 619, 815, 26571, 15660, 614, 725, 454, 1038, 2450, 815, 2979, 269, 576, 559, 263, 4118, 28460, 12759, 263, 9557, 21875, 1038, 1376, 22710, 815, 942, 4590, 1038, 1820, 28361, 333, 5073, 1038, 1820, 6600, 31415, 629, 340, 9612, 715, 4113, 281, 2715, 328, 348, 5073, 1038, 3070, 267, 1253, 267, 1239, 815, 9184, 340, 318, 14142, 6600, 1009, 5334, 1828, 267, 3845, 15058, 6958, 1009, 5334, 1828, 2676, 14030, 19930, 3355, 318, 31371, 26092, 267, 621, 619, 267, 2450, 994, 1038, 1820, 4433, 1828, 267, 1253, 994, 1038, 1714, 17863, 22710, 815, 942, 3890, 910, 1376, 22710, 454, 1038, 1820, 6600, 262, 19226, 1639, 21741, 340, 9612, 543, 621, 3576, 281, 2715, 601, 17863, 22710, 348, 338, 5073, 1038, 19993, 815, 476, 280, 3374, 273, 476, 1948, 1627, 288, 3707, 910, 1627, 20345, 910, 476, 3707, 20079, 454, 1038, 5470, 815, 2612, 5560, 626, 910, 19993, 994, 1038, 1820, 2891, 13286, 281, 14307, 5470, 994, 1038, 1820, 2891, 16914, 5596, 281, 14307, 630, 23251, 2608, 476, 1911, 264, 1315, 19993, 994, 1038, 23200, 815, 5286, 15126, 8443, 335, 9131, 3438, 11172, 585, 533, 538, 1239, 7481, 1038, 3790, 815, 5286, 15126, 8443, 335, 9131, 322, 739, 11172, 585, 533, 538, 1239, 7481, 1038, 1948, 2343, 815, 5286, 7456, 1400, 326, 8542, 768, 6262, 739, 338, 994, 1038, 1948, 3339, 6831, 739, 815, 3790, 14672, 768, 454, 1038, 1948, 12301, 31892, 2660, 263, 3438, 725, 267, 3339, 6831, 739, 2020, 1038, 1948, 8641, 519, 1942, 1996, 519, 1297, 540, 23200, 454, 1038, 12301, 19502, 263, 3438, 725, 267, 3790, 994, 1038, 12301, 269, 29786, 3488, 21798, 5073, 1038, 12301, 11859, 16932, 3488, 296, 614, 725, 5073, 1038, 1948, 585, 1775, 267, 512, 868, 538, 26246, 3799, 3941, 2187, 1038, 1948, 672, 12301, 269, 534, 2254, 622, 6025, 868, 267, 630, 343, 318, 9557, 5157, 3910, 586, 318, 9557, 5157, 28413, 1038, 12301, 4732, 1511, 14808, 6600, 262, 346, 6358, 12173, 18511, 322, 739, 8686, 338, 32717, 619, 26666, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4950, 729, 2813, 676, 519, 1004, 543, 585, 519, 1004, 269, 1452, 2395, 267, 621, 779, 606, 7533, 2460, 540, 938, 3059, 5251, 543, 568, 865, 7184, 3824, 11712, 538, 938, 3232, 13467, 602, 649, 666, 1100, 3476, 19424, 11264, 4247, 1510, 621, 563, 4407, 519, 4950, 19117, 1272, 607, 649, 6785, 621, 267, 519, 5769, 540, 12085, 630, 31166, 264, 568, 2469, 835, 1900, 2417, 547, 11753, 938, 2168, 1158, 883, 2780, 2861, 1949, 563, 763, 14164, 22820, 568, 2921, 1747, 693, 513, 942, 1141, 972, 616, 811, 1919, 4448, 547, 519, 4950, 982, 972, 616, 1004, 538, 519, 1158, 269, 1635, 476, 1708, 276, 267, 972, 786, 581, 5111, 476, 1839, 5479, 3457, 4448, 547, 519, 4950, 563, 19013, 267, 607, 606, 2810, 1297, 540, 3457, 616, 4448, 547, 519, 4950, 267, 543, 607, 1007, 3642, 4066, 4283, 519, 2344, 4948, 547, 1118, 938, 2729, 4443, 267, 3609, 24237, 616, 10010, 547, 6952, 909, 269, 6875, 519, 476, 1001, 277, 21001, 328, 667, 2710, 306, 4323, 593, 667, 2106, 267, 5549, 1421, 585, 1383, 267, 1141, 513, 2518, 14164, 7762, 6339, 4323, 8507, 538, 7839, 17522, 547, 4950, 3028, 585, 3755, 2066, 3345, 3013, 543, 2342, 269, 589, 1353, 2663, 1336, 602, 1310, 519, 476, 1001, 277, 4323, 593, 667, 2106, 267, 476, 1691, 267, 1822, 7270, 11074, 1210, 667, 2106, 607, 741, 6389, 8502, 563, 4407, 713, 4323, 5949, 1317, 540, 513, 4999, 540, 2188, 267, 1519, 519, 16426, 538, 14164, 3457, 543, 519, 946, 540, 9949, 721, 1716, 1868, 543, 18538, 267, 621, 729, 849, 14356, 1813, 547, 22573, 3354, 6189, 543, 16283, 14590, 2853, 269, 1323, 8668, 8257, 949, 711, 2141, 581, 3222, 540, 782, 519, 3457, 1459, 593, 606, 3919, 779, 3060, 267, 610, 621, 949, 3668, 2200, 547, 4368, 3354, 16426, 563, 288, 5595, 24737, 3022, 18156, 585, 16904, 888, 2026, 14164, 2029, 5170, 547, 1831, 513, 4105, 851, 540, 16904, 685, 7903, 2509, 3059, 7004, 267, 5683, 9270, 4478, 1239, 543, 2792, 723, 1831, 513, 1713, 6161, 563, 8794, 14164, 1239, 547, 2123, 1125, 519, 6075, 1995, 666, 581, 513, 3014, 7302, 9734, 585, 4213, 267, 7175, 873, 547, 2744, 538, 3829, 4030, 883, 741, 5561, 685, 2623, 543, 7375, 269, 1280, 1383, 267, 513, 4558, 666, 1747, 14164, 8596, 693, 1880, 2798, 547, 3950, 6075, 2623, 269, 1452, 8596, 666, 581, 5116, 693, 1587, 10525, 267, 593, 10918, 7047, 338, 267, 610, 693, 2638, 719, 27669, 547, 2445, 1239, 593, 6075, 3350, 267, 1587, 4205, 267, 543, 6718, 3664, 269, 1635, 7421, 952, 5561, 616, 5781, 9140, 513, 1808, 1587, 267, 4213, 666, 946, 713, 1344, 547, 4363, 2147, 2472, 267, 3895, 3444, 5498, 29818, 267, 610, 2709, 28774, 593, 602, 1587, 547, 5818, 6455, 563, 763, 946, 540, 14164, 1239, 543, 824, 4359, 1239, 4015, 2409, 814, 1500, 621, 4443, 585, 3906, 547, 6895, 543, 3589, 3593, 2623, 267, 609, 3642, 1949, 28976, 519, 1184, 540, 1620, 3593, 2115, 563, 763, 2242, 4547, 2390, 676, 891, 4066, 2099, 513, 1713, 1689, 538, 519, 1259, 4213, 4497, 609, 6800, 543, 875, 6800, 1995, 891, 4205, 269, 1717, 267, 713, 814, 849, 3366, 547, 4145, 827, 519, 1761, 585, 21568, 540, 2123, 1239, 543, 519, 10419, 6672, 540, 12886, 563, 8624, 22162, 543, 7421, 3593, 1239, 666, 581, 2938, 607, 513, 18670, 540, 7834, 267, 799, 666, 3441, 519, 3972, 543, 10639, 540, 606, 3919, 269, 5015, 267, 1210, 713, 1239, 547, 1071, 518, 576, 3593, 2623, 666, 581, 9228, 607, 6354, 11494, 267, 607, 621, 666, 581, 1031, 538, 2081, 602, 3755, 949, 711, 4628, 1174, 563, 5804, 513, 14590, 5133, 267, 971, 4066, 2333, 16904, 685, 4323, 7252, 1317, 789, 2445, 543, 10141, 5318, 5666, 540, 6213, 1344, 269, 3509, 540, 519, 3457, 602, 3984, 713, 2029, 723, 4617, 3354, 2934, 267, 1818, 873, 7925, 547, 28892, 543, 18453, 6285, 563, 12234, 267, 14164, 3457, 10141, 1239, 936, 5121, 267, 543, 952, 891, 5121, 616, 711, 5150, 267, 621, 666, 1450, 21190, 547, 2744, 1569, 547, 519, 1239, 543, 519, 3457, 2933, 269, 4340, 547, 513, 1280, 15816, 1867, 267, 6880, 3430, 2931, 593, 14164, 3457, 1147, 3022, 676, 476, 4968, 260, 547, 811, 982, 476, 273, 269, 280, 5479, 2621, 538, 476, 1001, 280, 4805, 563, 4415, 519, 3606, 1239, 543, 5488, 11250, 6035, 676, 476, 276, 294, 267, 4213, 949, 1265, 621, 9875, 547, 3713, 543, 8495, 1022, 1761, 1202, 3187, 6937, 269, 589, 17351, 9441, 610, 28079, 1223, 5732, 1569, 6213, 1344, 543, 608, 325, 2830, 3433, 1804, 5666, 540, 1239, 3533, 1354, 596, 610, 707, 2319, 666, 1256, 3713, 621, 563, 13010, 267, 621, 779, 1271, 585, 3906, 547, 1174, 602, 519, 10605, 693, 799, 476, 276, 294, 543, 14164, 723, 1044, 3384, 814, 2484, 856, 335, 3166, 519, 5137, 540, 3354, 4441, 269, 2060, 3354, 10616, 267, 16426, 267, 543, 5215, 540, 1439, 9557, 1402, 4771, 909, 1169, 1554, 267, 621, 3762, 3906, 7925, 547, 1239, 23563, 543, 6880, 3430, 2931, 563, 300, 527, 580, 908, 4220, 585, 3906, 454, 2026, 649, 5051, 7048, 593, 3059, 2029, 547, 4383, 3344, 540, 938, 2729, 267, 649, 616, 1303, 6412, 532, 811, 540, 938, 2123, 1344, 547, 891, 4448, 3457, 269, 898, 779, 2629, 547, 3251, 21713, 543, 11179, 2708, 543, 9337, 707, 3919, 779, 3354, 3800, 547, 2149, 1996, 1761, 6937, 269, 898, 779, 1271, 547, 3251, 5483, 267, 13473, 267, 543, 14942, 609, 707, 3354, 1935, 563, 4263, 713, 1448, 267, 972, 568, 513, 3668, 540, 513, 7833, 3044, 2066, 519, 2872, 547, 6218, 519, 3354, 540, 14164, 3457, 267, 1818, 621, 2352, 585, 6800, 547, 917, 952, 741, 3457, 543, 2228, 6208, 616, 3927, 7863, 741, 1239, 563, 3383, 267, 1141, 798, 649, 2253, 286, 1306, 513, 4341, 540, 14853, 267, 3906, 1058, 581, 12001, 609, 5561, 827, 875, 741, 1239, 568, 1373, 6394, 267, 1031, 267, 543, 3838, 269, 1358, 1058, 849, 2015, 17849, 1239, 4966, 547, 948, 873, 4383, 543, 5659, 519, 1239, 3927, 543, 538, 10220, 609, 4031, 543, 6042, 563, 2791, 1223, 849, 1376, 609, 707, 1004, 269, 2142, 3222, 602, 5520, 945, 616, 3743, 585, 519, 1697, 946, 540, 14164, 3457, 1369, 3906, 267, 607, 1134, 607, 1346, 945, 616, 11766, 532, 14164, 3457, 543, 476, 276, 294, 5121, 538, 707, 3919, 267, 949, 3668, 1697, 3354, 2866, 269, 901, 3668, 540, 1702, 666, 1291, 547, 16426, 602, 666, 581, 23699, 676, 6880, 3430, 871, 619, 269, 901, 568, 513, 1455, 3390, 2094, 1419, 1007, 4066, 616, 18611, 1354, 7850, 3354, 3800, 666, 581, 2322, 538, 1747, 563, 2005, 779, 2629, 547, 1118, 2386, 707, 5234, 616, 5265, 8036, 543, 616, 3222, 540, 519, 3354, 4220, 540, 14164, 3457, 543, 476, 276, 294, 5121, 269, 901, 2882, 3246, 2834, 2866, 267, 17849, 5234, 609, 513, 3354, 4282, 267, 610, 1210, 3791, 18407, 4966, 547, 4217, 609, 17293, 543, 12122, 563, 2414, 11574, 891, 4220, 2417, 267, 4213, 666, 2936, 824, 7347, 3354, 3800, 547, 2149, 519, 8699, 540, 741, 1949, 543, 3457, 689, 6880, 628, 805, 338, 282, 713, 2882, 7598, 29341, 1569, 8060, 267, 17278, 532, 782, 6213, 1239, 267, 7114, 543, 1273, 4221, 16426, 1256, 1354, 789, 666, 2049, 267, 13167, 519, 1034, 3617, 10071, 3210, 4566, 267, 5464, 3791, 18407, 21527, 267, 543, 7598, 513, 6024, 5464, 1982, 269, 1452, 3800, 1058, 5781, 581, 12649, 543, 8242, 547, 3082, 547, 1007, 6937, 543, 4066, 563, 3528, 4180, 602, 707, 2319, 568, 9280, 609, 519, 1702, 543, 1983, 547, 5150, 891, 1007, 4066, 267, 596, 666, 2149, 707, 3919, 689, 1761, 6880, 628, 805, 338, 269, 0, 305, 10718, 6436, 540, 5075, 454, 1692, 616, 3157, 540, 5075, 267, 8226, 267, 543, 14815, 22885, 538, 519, 11193, 286, 1215, 616, 1346, 1523, 687, 1500, 8915, 538, 519, 6575, 286, 634, 3594, 538, 713, 4320, 2232, 891, 543, 2147, 2055, 547, 3715, 1271, 7811, 543, 10952, 13279, 585, 7499, 2504, 538, 519, 681, 6511, 1170, 4545, 2483, 347, 8448, 22439, 1315, 6282, 832, 10573, 295, 754, 3700, 267, 3627, 1744, 27553, 8198, 290, 1301, 534, 267, 8176, 670, 563, 347, 3412, 2745, 10573, 293, 7568, 5069, 267, 5080, 9445, 267, 4789, 6902, 8738, 28002, 267, 966, 307, 2433, 12891, 22017, 267, 524, 1001, 271, 8198, 16085, 7685, 10573, 24058, 2528, 538, 2038, 29678, 563, 347, 15697, 7457, 10573, 13510, 9005, 538, 1160, 5226, 652, 661, 1504, 6239, 910, 14288, 13159, 269, 347, 0, 1607, 568, 519, 2034, 538, 513, 3126, 540, 9708, 676, 2278, 4469, 20477, 5754, 3430, 269, 594, 6557, 865, 26752, 547, 723, 1010, 21464, 7418, 543, 5796, 563, 26877, 755, 7992, 3131, 8526, 538, 519, 23397, 454, 19465, 11052, 585, 513, 1650, 814, 1896, 3344, 269, 31834, 7294, 538, 519, 2631, 602, 2356, 519, 5784, 616, 15504, 689, 811, 982, 835, 5133, 269, 1703, 568, 519, 15669, 779, 5133, 540, 1018, 568, 2938, 267, 543, 849, 519, 32331, 23032, 676, 519, 1291, 543, 824, 3197, 602, 9468, 519, 1650, 563, 14549, 8226, 568, 267, 538, 930, 24947, 267, 513, 2339, 540, 1445, 269, 634, 2247, 3705, 1206, 4641, 267, 543, 13798, 5809, 621, 269, 1284, 5042, 569, 968, 5408, 892, 7361, 1018, 568, 2808, 1271, 676, 713, 1184, 269, 898, 568, 513, 15774, 1184, 267, 5042, 569, 15865, 547, 721, 269, 589, 12483, 14084, 593, 922, 2427, 538, 513, 5397, 3118, 5526, 5180, 547, 721, 267, 585, 3236, 267, 1256, 1498, 538, 4641, 267, 519, 3239, 540, 621, 593, 519, 22100, 568, 606, 31753, 269, 1284, 949, 267, 610, 949, 711, 5431, 267, 610, 968, 5408, 892, 519, 25500, 4806, 593, 519, 12483, 267, 4470, 593, 3259, 540, 938, 2070, 942, 267, 4470, 593, 1018, 649, 616, 8247, 593, 3168, 585, 538, 519, 6429, 267, 1018, 26328, 721, 693, 519, 942, 267, 1082, 1919, 269, 634, 2247, 849, 25361, 1025, 3471, 538, 938, 8226, 267, 18505, 2590, 10486, 3177, 676, 3308, 10291, 267, 602, 949, 711, 1256, 581, 1459, 538, 519, 1699, 3239, 1107, 519, 4493, 585, 1082, 968, 641, 3749, 7629, 16272, 6100, 898, 568, 3833, 2693, 519, 6708, 540, 8390, 1063, 1018, 568, 968, 16308, 892, 607, 10353, 1018, 568, 27313, 560, 4599, 569, 968, 11004, 892, 538, 519, 1158, 949, 581, 1256, 3152, 982, 649, 4867, 1174, 269, 1452, 5386, 5806, 20788, 11735, 267, 621, 568, 513, 1523, 540, 946, 267, 543, 1271, 547, 513, 5856, 563, 1607, 7361, 10039, 547, 3791, 1268, 1448, 540, 2070, 32538, 269, 634, 2278, 666, 3442, 547, 946, 2239, 11673, 547, 5862, 513, 4605, 540, 519, 2489, 3942, 2390, 799, 519, 1650, 568, 5143, 267, 610, 1152, 2697, 1346, 3344, 540, 621, 1271, 547, 519, 1650, 610, 6429, 269, 5637, 960, 267, 1317, 519, 5467, 568, 5432, 609, 519, 7915, 1184, 540, 1480, 14839, 269, 898, 568, 711, 513, 12701, 540, 19511, 1184, 585, 513, 5467, 547, 3398, 2901, 513, 11571, 540, 519, 968, 3553, 892, 610, 547, 1445, 593, 1808, 3344, 540, 2956, 563, 763, 3364, 547, 3314, 568, 267, 519, 15669, 568, 711, 267, 538, 713, 2013, 267, 513, 1915, 538, 519, 9661, 269, 634, 6609, 1058, 2057, 513, 1445, 602, 1131, 581, 1732, 11911, 547, 513, 1650, 1915, 269, 2334, 568, 267, 547, 1832, 538, 2786, 3791, 623, 10976, 267, 519, 15669, 1058, 711, 10393, 10536, 519, 1268, 320, 540, 513, 1915, 610, 519, 1915, 779, 21169, 267, 1510, 5316, 1081, 269, 10705, 267, 519, 2489, 2239, 6429, 267, 543, 519, 1915, 779, 2070, 540, 621, 267, 949, 8428, 267, 543, 602, 3017, 949, 1256, 948, 547, 5581, 519, 1915, 267, 581, 1031, 607, 513, 3926, 1369, 519, 1650, 563, 14197, 5796, 1131, 1331, 5329, 707, 14745, 1469, 547, 1018, 5036, 519, 6429, 543, 1152, 971, 3877, 607, 5031, 621, 547, 519, 1650, 779, 3483, 269, 901, 13147, 923, 1480, 8226, 267, 519, 16116, 543, 7446, 519, 2247, 6923, 1281, 267, 543, 2965, 4679, 519, 4835, 14839, 540, 519, 5467, 269, 4236, 31227, 1932, 1082, 3877, 538, 1820, 4025, 513, 1390, 4612, 633, 11411, 593, 519, 5467, 267, 945, 1631, 1590, 5104, 24327, 543, 3514, 1082, 2609, 1927, 1354, 646, 666, 24323, 1628, 519, 3239, 267, 799, 666, 3500, 2542, 267, 543, 538, 930, 2665, 1256, 1832, 519, 3239, 689, 575, 2454, 693, 782, 563, 763, 2278, 568, 16208, 593, 1957, 606, 3239, 646, 2907, 814, 267, 519, 5467, 9620, 547, 1628, 606, 7164, 3239, 689, 1018, 568, 4843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1826, 540, 24338, 2326, 3379, 547, 2757, 3283, 971, 607, 18410, 565, 2572, 543, 15181, 3327, 888, 15253, 1563, 547, 2757, 24338, 2326, 267, 891, 1007, 1570, 5049, 971, 607, 4496, 268, 16955, 10850, 630, 19616, 22661, 1070, 24338, 5214, 476, 274, 291, 22169, 630, 303, 8008, 338, 264, 543, 26543, 7636, 2326, 630, 303, 13967, 338, 264, 2709, 513, 1164, 2627, 1858, 267, 513, 7113, 762, 2497, 267, 543, 513, 2647, 2039, 540, 29782, 267, 799, 2306, 873, 9621, 585, 3156, 538, 713, 2361, 563, 1432, 616, 519, 2164, 6913, 609, 519, 1788, 888, 6124, 16600, 2173, 2222, 1602, 748, 2326, 723, 1044, 2919, 609, 1164, 10688, 543, 8112, 602, 2270, 24519, 13355, 19659, 543, 30337, 538, 519, 4527, 540, 9362, 267, 2810, 519, 2179, 540, 3154, 9676, 269, 769, 1880, 19045, 268, 16391, 545, 15753, 3311, 723, 1044, 24704, 1759, 593, 22803, 13421, 540, 31626, 543, 2098, 337, 267, 519, 8545, 616, 3226, 7123, 538, 519, 2011, 543, 7123, 909, 547, 5210, 540, 476, 4968, 11019, 595, 267, 4061, 5078, 538, 2825, 5665, 2175, 269, 1715, 17834, 22661, 1759, 593, 3171, 12274, 543, 5627, 14806, 3990, 14270, 1343, 1500, 621, 2009, 547, 5352, 595, 6363, 16702, 3421, 1510, 23494, 4227, 519, 2230, 2139, 547, 9362, 538, 519, 22405, 269, 1452, 595, 6363, 7554, 1450, 547, 5031, 519, 1909, 540, 14806, 710, 31622, 4088, 4205, 543, 547, 2333, 519, 7001, 4398, 540, 9362, 971, 607, 2910, 273, 543, 8863, 275, 269, 634, 1909, 5129, 676, 519, 31736, 2450, 538, 5355, 519, 3154, 2173, 520, 3700, 5872, 19367, 729, 849, 11567, 267, 543, 621, 729, 1336, 856, 602, 476, 275, 268, 276, 3331, 483, 22405, 616, 4998, 585, 670, 273, 543, 2910, 273, 563, 763, 10338, 4390, 540, 519, 2326, 543, 8112, 723, 1044, 6594, 676, 519, 946, 540, 3154, 4726, 1499, 602, 7500, 693, 1114, 5210, 689, 476, 6507, 918, 909, 547, 476, 12573, 918, 543, 12503, 909, 547, 476, 736, 3046, 269, 634, 3154, 2173, 520, 3700, 5872, 1648, 602, 4564, 519, 4909, 9936, 585, 10442, 519, 2773, 540, 24338, 2326, 538, 3154, 7001, 729, 6027, 538, 2198, 1210, 519, 2890, 5632, 528, 9014, 13745, 547, 519, 10338, 568, 1278, 332, 17102, 269, 31999, 2418, 540, 2910, 273, 2173, 520, 3700, 5872, 540, 476, 3374, 737, 297, 1315, 3727, 941, 6027, 267, 713, 1871, 2636, 1312, 513, 1164, 7001, 543, 5305, 4398, 538, 2825, 2175, 543, 18715, 606, 5140, 834, 11529, 4390, 8487, 303, 5387, 32128, 22169, 267, 1500, 909, 540, 25543, 14366, 4559, 267, 941, 1031, 547, 1711, 968, 1873, 3558, 762, 892, 2326, 269, 17449, 17176, 3769, 538, 519, 5943, 1500, 621, 2009, 547, 1110, 3634, 519, 2179, 540, 3154, 12842, 593, 4971, 676, 519, 23735, 2747, 609, 11158, 23724, 1043, 1769, 269, 901, 4640, 568, 3226, 5499, 1317, 621, 2636, 1312, 519, 4859, 543, 519, 5305, 540, 3154, 547, 581, 6417, 676, 1797, 540, 606, 5007, 17003, 267, 17306, 519, 6765, 4783, 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 ]
[ 2087, 607, 1973, 8043, 2132, 547, 3339, 11733, 543, 2450, 267, 13059, 519, 1981, 540, 8482, 547, 840, 8686, 12686, 2157, 563, 7804, 10897, 714, 1767, 281, 968, 2026, 513, 1267, 540, 29738, 267, 519, 2295, 2557, 1419, 3587, 9402, 543, 972, 568, 546, 7976, 540, 1973, 8043, 267, 799, 666, 2333, 519, 1981, 540, 2295, 4323, 610, 6727, 2669, 538, 1004, 609, 610, 1510, 1634, 2295, 2068, 1547, 7536, 1103, 1840, 547, 513, 8902, 2295, 267, 1973, 10009, 568, 2693, 547, 2087, 1310, 1175, 513, 1906, 4374, 267, 4227, 519, 1981, 540, 1272, 18446, 2295, 3676, 563, 291, 787, 5023, 543, 21022, 6492, 19512, 2443, 513, 2427, 1198, 540, 29738, 2443, 786, 849, 2132, 547, 3339, 1310, 513, 1906, 4374, 267, 1352, 3081, 563, 7804, 10897, 714, 3773, 281, 968, 2171, 849, 917, 602, 29738, 666, 2014, 824, 1418, 3441, 563, 24685, 1840, 547, 707, 9641, 267, 15522, 543, 824, 6878, 538, 642, 16747, 666, 1860, 2634, 1646, 543, 7099, 543, 1291, 547, 8213, 3034, 32271, 7495, 5084, 309, 21201, 9215, 5254, 8008, 966, 4338, 5058, 454, 21093, 7759, 540, 606, 8213, 610, 4356, 666, 581, 606, 9688, 532, 1184, 585, 1034, 267, 2523, 950, 519, 2229, 568, 9277, 547, 14773, 602, 519, 2197, 568, 2469, 21429, 563, 3719, 3220, 10897, 714, 814, 7000, 1010, 1283, 2947, 4388, 585, 29655, 29738, 585, 1434, 563, 763, 23244, 4387, 5267, 4742, 9308, 3742, 267, 607, 1352, 3081, 16706, 610, 4730, 5026, 666, 8897, 519, 20882, 563, 5194, 1259, 547, 26193, 8213, 568, 547, 1020, 513, 30411, 4480, 563, 7804, 10897, 714, 1767, 281, 968, 290, 9545, 902, 1419, 14897, 1310, 835, 547, 1079, 3764, 269, 901, 666, 581, 2944, 676, 7900, 1585, 4247, 267, 1210, 707, 3946, 267, 610, 6947, 547, 2575, 269, 2368, 2550, 594, 917, 723, 1031, 2269, 9749, 547, 948, 873, 16718, 563, 2005, 568, 1767, 602, 519, 3460, 547, 29655, 7296, 568, 1454, 4443, 952, 596, 849, 3295, 3054, 609, 11215, 1920, 543, 2828, 945, 1174, 519, 9620, 563, 6624, 1004, 1020, 513, 29738, 4356, 547, 4383, 2566, 267, 855, 713, 4356, 666, 581, 8719, 609, 513, 1114, 267, 8902, 6197, 3903, 563, 8469, 2787, 267, 30998, 543, 7836, 942, 13964, 616, 1175, 930, 540, 519, 4244, 2238, 5227, 676, 519, 13382, 563, 4517, 1810, 1406, 7340, 547, 8661, 19325, 267, 1100, 2339, 875, 1507, 267, 3220, 269, 10897, 714, 1767, 563, 9515, 1767, 281, 968, 2791, 949, 1616, 547, 3950, 519, 1297, 540, 642, 1901, 6954, 2395, 602, 723, 1044, 6913, 543, 8007, 3054, 585, 713, 9740, 269, 19314, 6624, 13311, 2427, 2360, 666, 2049, 1282, 519, 1101, 4374, 1310, 29655, 7296, 563, 21618, 949, 1331, 14331, 267, 669, 1571, 267, 4743, 8886, 762, 267, 543, 12150, 7099, 23638, 10483, 676, 14501, 540, 4160, 563, 7804, 10897, 714, 1767, 281, 968, 301, 545, 13534, 568, 606, 22925, 6219, 543, 621, 3622, 3217, 476, 7761, 3108, 585, 15522, 547, 581, 23498, 689, 519, 1560, 1062, 269, 19314, 11514, 1842, 762, 642, 16747, 616, 1305, 547, 581, 943, 1078, 856, 896, 1007, 2229, 4566, 563, 763, 3804, 568, 547, 2061, 1453, 689, 4742, 8200, 593, 891, 3457, 269, 634, 5767, 1239, 5267, 602, 476, 1556, 269, 277, 829, 1298, 540, 476, 1556, 547, 476, 1704, 1032, 31545, 538, 519, 5177, 723, 2907, 6836, 29738, 563, 8002, 643, 1235, 723, 1279, 1572, 585, 1454, 31749, 6042, 593, 6725, 547, 1453, 543, 513, 3454, 593, 25551, 642, 16747, 267, 799, 616, 1034, 2442, 1851, 14038, 563, 10574, 689, 23244, 7913, 267, 1759, 593, 513, 5619, 540, 7296, 267, 6704, 543, 3075, 946, 1851, 1762, 1004, 538, 4789, 585, 476, 1708, 272, 267, 4951, 602, 476, 1789, 260, 540, 1453, 538, 31920, 543, 519, 670, 3784, 723, 1031, 513, 642, 1901, 4586, 3719, 4145, 723, 5063, 2799, 267, 609, 26110, 24016, 547, 7333, 2392, 2218, 3549, 689, 9513, 642, 16747, 538, 29116, 11954, 11183, 543, 1126, 7888, 13344, 899, 19389, 326, 636, 563, 763, 18747, 1107, 799, 1246, 538, 519, 3723, 25074, 540, 2477, 1519, 5333, 543, 1715, 10215, 1107, 1223, 581, 30792, 607, 2038, 607, 1985, 3018, 267, 5359, 2303, 563, 8310, 3018, 267, 519, 3943, 2229, 26823, 3022, 547, 3136, 4566, 547, 7333, 25551, 552, 24294, 10577, 1317, 789, 3409, 547, 5000, 7296, 1851, 1762, 1004, 563, 30051, 543, 8581, 723, 4843, 741, 18747, 547, 20818, 9993, 593, 642, 16747, 267, 609, 519, 4436, 2229, 4867, 6236, 606, 30739, 7333, 593, 25551, 552, 24294, 10577, 563, 1103, 1840, 267, 5245, 814, 2322, 538, 1747, 3800, 547, 1118, 642, 16747, 3015, 1152, 547, 1004, 609, 513, 13310, 563, 19602, 267, 1715, 10215, 849, 13684, 9993, 7333, 940, 642, 1901, 15945, 689, 1373, 1369, 476, 4968, 7397, 540, 513, 1153, 543, 4180, 782, 642, 16747, 1590, 723, 5110, 762, 9075, 563, 21760, 995, 10525, 540, 19269, 267, 9513, 585, 607, 2370, 607, 11278, 276, 267, 4867, 16445, 519, 5177, 779, 1164, 10754, 563, 303, 1042, 2218, 9755, 561, 675, 1453, 609, 10366, 971, 607, 19389, 326, 636, 543, 10412, 17711, 543, 930, 8637, 1256, 6133, 891, 3457, 7258, 17711, 563, 32546, 1185, 2907, 18796, 513, 2698, 7333, 593, 25551, 642, 16747, 899, 4432, 325, 13063, 267, 2442, 609, 14038, 563, 31819, 596, 991, 547, 917, 827, 5907, 13189, 454, 1692, 1454, 15522, 1281, 606, 552, 24294, 12076, 2270, 888, 2467, 616, 1082, 12478, 540, 5907, 13189, 267, 5627, 1114, 2157, 540, 15522, 563, 763, 3656, 2179, 540, 15522, 538, 552, 2000, 18612, 538, 519, 5177, 568, 476, 736, 8406, 270, 6447, 267, 799, 1226, 919, 547, 1063, 476, 7785, 543, 476, 8517, 25858, 338, 563, 763, 4432, 325, 4446, 476, 7785, 267, 835, 540, 6628, 779, 1034, 2442, 642, 16747, 267, 568, 6994, 2213, 607, 1373, 2139, 538, 476, 271, 16936, 267, 476, 1015, 16936, 543, 476, 736, 16936, 15522, 9342, 563, 1692, 1082, 13189, 616, 538, 606, 552, 24294, 12076, 888, 763, 4432, 325, 4446, 476, 7785, 3568, 519, 6697, 540, 476, 4366, 13189, 267, 2687, 547, 19767, 563, 2005, 20205, 476, 7785, 25858, 338, 1354, 17596, 547, 581, 23987, 267, 2495, 602, 538, 3069, 1169, 476, 1321, 269, 276, 25858, 338, 568, 6697, 547, 835, 16906, 563, 32546, 2161, 602, 585, 1082, 552, 24294, 10577, 267, 476, 1911, 25858, 338, 616, 6697, 547, 4557, 2834, 13189, 563, 14976, 325, 645, 1513, 568, 513, 6216, 540, 552, 24294, 10577, 1419, 4421, 538, 6505, 4778, 543, 609, 4819, 7888, 4408, 543, 10366, 267, 899, 681, 9579, 9791, 19748, 517, 1228, 543, 5682, 717, 16244, 19594, 563, 3674, 29738, 1732, 585, 707, 1072, 982, 7296, 888, 309, 12686, 2472, 616, 2808, 1732, 982, 13189, 1317, 3755, 616, 6534, 547, 7864, 13802, 543, 693, 2539, 2157, 267, 2687, 547, 519, 23244, 563, 763, 1072, 8257, 8591, 602, 29738, 3079, 540, 7296, 13189, 6971, 707, 4598, 547, 13802, 602, 666, 2014, 2860, 267, 5761, 2068, 267, 543, 2295, 543, 10009, 3676, 267, 971, 607, 18116, 543, 2295, 6285, 563, 763, 1631, 12413, 9417, 5398, 2657, 4789, 3370, 606, 4830, 4274, 1353, 538, 476, 1001, 276, 25759, 602, 552, 24294, 10577, 616, 1472, 476, 4817, 260, 1447, 5739, 982, 13189, 563, 4913, 267, 29738, 568, 711, 1510, 4220, 267, 1317, 1256, 1498, 519, 2157, 538, 10269, 2472, 616, 1454, 2362, 267, 552, 24294, 10577, 1869, 2270, 5739, 13802, 267, 2687, 547, 513, 1353, 3366, 676, 3173, 693, 519, 6481, 2160, 540, 590, 3796, 807, 538, 12996, 4586, 4517, 3220, 2201, 22894, 631, 644, 9618, 267, 513, 5507, 11290, 945, 9708, 7044, 593, 28607, 27717, 267, 1767, 4432, 325, 13063, 666, 2014, 6553, 267, 11926, 543, 11702, 540, 519, 14779, 563, 3891, 6045, 602, 713, 729, 1317, 15522, 1743, 625, 519, 5023, 543, 6971, 19975, 267, 4929, 16698, 689, 513, 19221, 540, 4551, 543, 1426, 602, 3112, 581, 6569, 563, 301, 22022, 476, 12573, 6413, 3074, 1813, 547, 29738, 941, 6592, 538, 4789, 538, 476, 1708, 273, 267, 2693, 5631, 1813, 547, 7929, 2042, 267, 971, 607, 26032, 540, 7362, 267, 9221, 1928, 267, 6553, 540, 519, 9641, 543, 267, 538, 4049, 2665, 267, 7929, 5821, 269, 0, 21026, 7232, 770, 1627, 17162, 568, 1753, 547, 1082, 2189, 2249, 540, 13812, 267, 1082, 540, 799, 666, 581, 1336, 538, 938, 1378, 1394, 29288, 563, 763, 1453, 786, 1451, 827, 968, 26222, 7111, 15661, 892, 799, 789, 949, 2097, 2066, 1312, 693, 1753, 267, 693, 1153, 267, 610, 693, 2199, 14425, 543, 11614, 563, 1103, 1931, 547, 1831, 968, 12988, 12881, 6844, 625, 5608, 789, 786, 3605, 3860, 2081, 547, 1118, 19471, 9249, 585, 938, 2199, 2249, 547, 9468, 1318, 538, 741, 1378, 1394, 29288, 563, 6624, 1004, 616, 23387, 540, 519, 1271, 1909, 1142, 540, 891, 2831, 4249, 538, 938, 6668, 563, 763, 1053, 786, 1451, 602, 538, 1931, 585, 938, 5065, 2831, 543, 721, 547, 7639, 267, 4264, 2242, 538, 938, 19824, 991, 547, 581, 1500, 547, 2327, 782, 540, 938, 20304, 563, 2304, 7769, 519, 1453, 786, 2743, 799, 789, 949, 1265, 538, 741, 2199, 1858, 1522, 581, 912, 22461, 25725, 610, 29838, 454, 763, 1453, 616, 9415, 547, 2263, 741, 1378, 18147, 543, 27788, 1312, 1282, 519, 1554, 543, 693, 3781, 547, 1294, 1018, 2831, 949, 1289, 741, 18147, 1753, 269, 0, 1432, 1281, 519, 3461, 1344, 6656, 2270, 888, 15031, 1304, 1344, 2882, 513, 2039, 540, 1114, 1239, 2010, 267, 971, 607, 2550, 685, 2564, 1686, 267, 2564, 1449, 2164, 267, 543, 6142, 1344, 563, 1432, 1344, 798, 596, 991, 689, 513, 1007, 3461, 888, 1432, 779, 538, 1715, 21111, 13268, 564, 888, 268, 4813, 476, 272, 281, 5915, 4919, 6176, 267, 6481, 24793, 543, 15928, 6176, 563, 268, 4813, 476, 273, 281, 9978, 2657, 6176, 1107, 7731, 3778, 267, 31700, 267, 31346, 267, 5709, 725, 543, 3105, 1416, 563, 268, 4813, 476, 274, 281, 31254, 5183, 288, 18564, 543, 21041, 13756, 563, 1432, 568, 513, 3461, 6044, 1106, 888, 14240, 281, 634, 21111, 6176, 4813, 630, 303, 9281, 264, 568, 1031, 547, 2445, 15295, 1344, 607, 1134, 607, 3606, 1344, 827, 519, 1764, 540, 519, 2680, 593, 513, 3461, 630, 324, 3052, 1421, 1377, 540, 2800, 267, 796, 680, 10165, 7459, 1040, 898, 9360, 519, 670, 2207, 293, 538, 2665, 1141, 606, 10071, 568, 1373, 4080, 563, 1432, 568, 513, 2564, 1344, 6656, 888, 1607, 2564, 1344, 6656, 6227, 1082, 2596, 2055, 4280, 676, 1034, 2564, 13646, 269, 901, 1106, 666, 948, 707, 7189, 948, 596, 1205, 1732, 267, 543, 949, 849, 948, 596, 3950, 707, 1378, 6527, 563, 1692, 1279, 1058, 513, 16045, 1344, 6656, 581, 888, 2171, 2303, 513, 1434, 3259, 568, 476, 273, 268, 275, 3817, 543, 1100, 3476, 982, 476, 279, 3817, 269, 1280, 513, 1279, 610, 1950, 1382, 1353, 267, 596, 949, 1616, 547, 2015, 8888, 519, 1344, 6656, 607, 1079, 2694, 267, 609, 513, 2241, 851, 476, 272, 543, 811, 1808, 3877, 538, 851, 476, 273, 563, 1432, 568, 513, 1455, 3898, 585, 25643, 5750, 4967, 888, 12569, 4338, 4967, 269, 4653, 267, 519, 14298, 4338, 4063, 1107, 606, 27099, 585, 4427, 11187, 267, 20638, 267, 10495, 267, 543, 4643, 1107, 568, 519, 1034, 1455, 1505, 540, 12319, 1031, 676, 7426, 547, 3403, 4967, 883, 2550, 685, 2564, 5638, 269, 1358, 1450, 7426, 547, 2594, 543, 2671, 1344, 538, 513, 8471, 267, 9836, 543, 2653, 3562, 22345, 3898, 563, 1432, 616, 3461, 6981, 4967, 888, 15031, 1304, 6981, 568, 519, 1184, 998, 799, 3782, 3906, 2445, 15295, 267, 1514, 543, 4791, 1239, 267, 9844, 3029, 267, 6142, 267, 11033, 543, 824, 1883, 4773, 540, 1344, 689, 1007, 543, 13059, 2550, 1991, 547, 741, 3643, 563, 1432, 2055, 798, 7189, 2307, 741, 2550, 888, 2080, 616, 476, 276, 2055, 1169, 2564, 2259, 1058, 2307, 950, 513, 1007, 3461, 21128, 563, 268, 1548, 3657, 2659, 6481, 543, 13880, 673, 2876, 1559, 888, 268, 1548, 3465, 5524, 543, 6348, 6261, 637, 5524, 5709, 725, 1684, 1411, 6875, 888, 268, 1548, 2353, 25489, 1684, 1411, 5620, 888, 268, 1548, 1772, 2659, 25003, 267, 15850, 267, 543, 7629, 7228, 10684, 2422, 3778, 888, 268, 5620, 1411, 4419, 539, 538, 519, 20331, 17086, 888, 1432, 568, 513, 3461, 6044, 6656, 888, 15031, 1304, 4065, 543, 5516, 19019, 25420, 9148, 519, 9241, 2919, 610, 15428, 11483, 4932, 543, 24321, 300, 3584, 269, 1452, 2816, 11226, 1683, 2489, 1344, 593, 1585, 2825, 4915, 3584, 543, 2285, 1072, 13282, 7426, 2656, 267, 4712, 3562, 14025, 2326, 547, 5351, 538, 3461, 1416, 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 ]
[ 1160, 12723, 838, 11047, 32673, 609, 2009, 2199, 606, 20469, 2962, 1031, 538, 16063, 4713, 269, 1805, 6729, 15302, 281, 11202, 1670, 3157, 5473, 519, 5254, 6865, 21815, 8160, 601, 6511, 281, 634, 3109, 267, 13545, 787, 267, 28067, 23337, 2454, 674, 4488, 2464, 602, 2270, 28811, 1973, 14371, 770, 337, 1231, 281, 589, 1920, 540, 16063, 26733, 10399, 602, 10161, 519, 21131, 540, 717, 3008, 15045, 2975, 808, 308, 21201, 269, 1358, 949, 849, 2049, 538, 519, 3844, 8401, 1062, 1141, 789, 616, 16912, 539, 547, 581, 30088, 269, 4504, 13656, 2311, 637, 807, 281, 5556, 523, 1388, 21933, 28375, 540, 519, 561, 18210, 540, 519, 16892, 267, 609, 519, 594, 4041, 9331, 3238, 538, 476, 2004, 260, 540, 519, 2665, 543, 519, 808, 292, 297, 7419, 9331, 543, 667, 308, 7495, 2894, 9331, 1739, 538, 4908, 269, 898, 568, 519, 1034, 7928, 2014, 540, 21850, 2464, 2316, 2793, 299, 28267, 22552, 10813, 3582, 538, 21832, 289, 3036, 10064, 269, 630, 5804, 853, 539, 2006, 267, 476, 1839, 628, 1196, 264, 305, 1846, 267, 654, 626, 541, 281, 589, 8833, 540, 11549, 3626, 3731, 2919, 693, 519, 654, 626, 541, 4659, 602, 814, 3262, 4922, 693, 824, 5238, 269, 901, 814, 6825, 569, 29809, 519, 3312, 8833, 14371, 770, 878, 4236, 823, 281, 634, 5277, 21131, 540, 519, 7181, 11940, 6242, 9967, 540, 8652, 18608, 545, 3679, 630, 294, 3008, 15045, 2975, 8028, 2839, 5148, 18027, 4916, 2562, 8104, 27602, 282, 5442, 15045, 27486, 2975, 674, 16898, 3036, 282, 717, 3008, 15045, 2562, 282, 631, 10813, 4785, 282, 543, 519, 22833, 12365, 622, 9357, 630, 289, 2975, 2752, 289, 2177, 2969, 2464, 1040, 630, 5804, 7454, 1299, 13177, 781, 4284, 8344, 5178, 529, 540, 6481, 6657, 267, 476, 1321, 628, 1196, 267, 533, 4792, 272, 264, 15404, 2193, 4039, 1314, 566, 281, 2334, 5123, 540, 513, 4887, 1000, 3558, 1282, 799, 513, 4887, 7024, 547, 513, 16889, 2990, 5861, 4490, 281, 23582, 730, 536, 990, 710, 2831, 540, 519, 12593, 18548, 267, 2356, 6854, 593, 513, 3484, 610, 10443, 577, 543, 1031, 585, 519, 2504, 540, 5779, 610, 10683, 2472, 610, 585, 5230, 4074, 5861, 2174, 517, 645, 850, 667, 10631, 3026, 21182, 916, 281, 570, 32214, 610, 2860, 540, 519, 25265, 2177, 645, 11223, 667, 308, 6311, 1519, 519, 589, 6573, 8085, 6369, 5508, 966, 2969, 2207, 543, 519, 9501, 295, 2562, 6311, 2207, 5508, 744, 291, 14888, 17679, 27534, 715, 2925, 281, 634, 476, 1015, 628, 22623, 658, 8229, 269, 634, 13112, 639, 568, 513, 6404, 8229, 799, 3568, 30717, 3413, 5166, 338, 630, 5228, 2960, 538, 1394, 540, 519, 1274, 543, 519, 5007, 17391, 5779, 639, 1070, 1471, 30844, 3413, 5166, 338, 630, 5228, 519, 943, 28449, 267, 561, 28449, 267, 5247, 1314, 267, 543, 17737, 1070, 8934, 2096, 20627, 2498, 5166, 338, 630, 1729, 519, 5247, 1314, 543, 17737, 1070, 543, 2498, 5166, 338, 547, 4174, 730, 4887, 630, 1993, 519, 561, 28449, 543, 943, 28449, 1040, 22134, 4088, 16927, 517, 24517, 1674, 281, 634, 2343, 1275, 540, 513, 3070, 609, 2463, 547, 670, 312, 291, 4629, 294, 2894, 12274, 282, 670, 266, 269, 898, 568, 1644, 547, 23639, 7403, 538, 1034, 2665, 676, 9063, 815, 2845, 476, 272, 270, 273, 314, 272, 14370, 295, 266, 264, 3910, 1141, 630, 295, 266, 264, 568, 519, 7250, 9357, 5834, 538, 6121, 5973, 757, 829, 2148, 540, 3070, 269, 630, 18250, 294, 3863, 6953, 650, 9218, 540, 11660, 543, 14502, 16301, 267, 476, 277, 628, 1196, 264, 19859, 341, 650, 328, 281, 3687, 1393, 20327, 540, 1591, 17011, 799, 7494, 2333, 519, 2627, 1858, 540, 519, 1591, 12991, 527, 4088, 281, 1323, 3693, 609, 519, 10570, 3090, 715, 267, 10570, 1297, 476, 278, 267, 543, 10570, 2597, 1496, 1691, 269, 24879, 6246, 282, 476, 1691, 269, 23669, 2764, 4940, 21193, 4088, 6818, 607, 513, 1019, 30061, 3154, 543, 2306, 909, 827, 476, 4281, 260, 540, 519, 3618, 781, 5790, 676, 4320, 269, 898, 568, 513, 25499, 540, 5946, 543, 31332, 7408, 543, 1336, 538, 782, 2713, 2281, 9950, 526, 22000, 281, 30332, 540, 7311, 13673, 291, 5308, 4596, 303, 2464, 585, 2068, 5868, 543, 2126, 269, 7736, 22000, 3322, 8429, 606, 9804, 6293, 998, 513, 1507, 1651, 1707, 538, 519, 2960, 1775, 4318, 1421, 829, 12827, 10389, 282, 610, 998, 513, 2067, 610, 12715, 543, 2059, 2067, 1560, 11444, 971, 607, 519, 9667, 8778, 282, 543, 5924, 998, 606, 1651, 1707, 538, 519, 3774, 540, 513, 8685, 983, 2497, 610, 1418, 267, 1775, 4318, 269, 6037, 636, 1400, 267, 547, 4983, 610, 1685, 6391, 593, 519, 9703, 2694, 540, 519, 1560, 2529, 342, 710, 281, 7102, 540, 1585, 2831, 602, 13822, 519, 1920, 2672, 13160, 543, 17663, 588, 719, 1532, 617, 1221, 267, 2110, 6122, 13949, 9631, 16622, 5387, 11864, 609, 5394, 2960, 267, 2356, 4988, 609, 21432, 1490, 30178, 267, 513, 2864, 1279, 5985, 2879, 719, 267, 543, 1507, 2766, 269, 32087, 616, 519, 25281, 17926, 9317, 320, 267, 1912, 659, 5255, 334, 518, 639, 630, 23702, 554, 9233, 1070, 543, 12246, 267, 519, 8545, 5627, 519, 6469, 6477, 630, 5408, 590, 4785, 14662, 4629, 11902, 1040, 7069, 10938, 545, 623, 2716, 639, 281, 2290, 540, 1079, 14228, 331, 542, 730, 8849, 5121, 799, 1927, 1106, 519, 13673, 9898, 2975, 715, 27263, 302, 4785, 20219, 23727, 269, 634, 1250, 10938, 545, 630, 288, 340, 8538, 778, 781, 264, 533, 2716, 639, 568, 4092, 1063, 519, 19976, 543, 9764, 4887, 6106, 540, 519, 8937, 269, 4706, 11409, 1788, 547, 519, 9764, 4887, 267, 547, 824, 1250, 10938, 545, 14228, 20377, 267, 547, 22347, 1075, 657, 531, 14228, 20377, 267, 610, 2047, 547, 519, 13423, 26375, 267, 543, 1404, 606, 1271, 1909, 538, 15725, 543, 1273, 614, 940, 8937, 2138, 1006, 269, 630, 5804, 674, 17955, 289, 808, 476, 2735, 280, 282, 274, 281, 14096, 268, 4343, 264, 4504, 13656, 12443, 1186, 281, 2598, 4740, 9402, 5160, 13999, 602, 31732, 8775, 883, 519, 561, 18210, 540, 519, 21850, 2464, 2316, 20911, 269, 589, 25168, 568, 7923, 547, 519, 15499, 3774, 2901, 676, 513, 31537, 267, 7895, 684, 1529, 639, 267, 610, 676, 513, 3376, 3490, 14371, 770, 549, 14528, 26268, 2158, 281, 670, 3036, 300, 2177, 2464, 9658, 1540, 676, 519, 16063, 11940, 6242, 602, 1860, 519, 12557, 610, 519, 2298, 540, 21131, 540, 9667, 11476, 267, 543, 10038, 519, 5179, 2534, 540, 519, 9667, 1062, 8219, 14371, 770, 12541, 5448, 281, 589, 717, 3008, 15045, 2562, 5498, 920, 1154, 5778, 754, 18355, 10510, 540, 519, 1875, 1532, 9508, 4959, 4041, 307, 595, 5085, 11862, 267, 519, 717, 3008, 15045, 2562, 4149, 4488, 3918, 16249, 595, 5085, 11862, 269, 901, 1826, 540, 10510, 568, 5097, 4092, 538, 519, 623, 3198, 290, 3918, 3008, 610, 519, 667, 308, 7495, 2894, 9331, 269, 11683, 640, 540, 8819, 12541, 5557, 616, 23872, 269, 1358, 22037, 553, 1125, 547, 519, 700, 4353, 2207, 282, 700, 312, 6573, 295, 715, 7495, 2464, 282, 543, 645, 24535, 855, 10355, 11992, 269, 634, 4527, 540, 8819, 12541, 5448, 568, 835, 540, 1614, 4170, 547, 581, 1558, 585, 8446, 540, 2098, 5357, 299, 5058, 2207, 268, 21822, 3041, 2177, 20219, 21254, 4629, 10933, 267, 799, 3006, 4386, 538, 3885, 609, 631, 8085, 2316, 303, 4041, 13673, 291, 8016, 305, 12114, 17252, 8008, 299, 3008, 8656, 570, 312, 14154, 476, 272, 282, 630, 300, 2894, 476, 272, 1040, 3719, 2643, 2675, 641, 565, 2459, 28016, 645, 668, 728, 281, 4165, 574, 639, 8364, 28649, 844, 15715, 776, 16139, 1756, 12045, 540, 1085, 641, 565, 8533, 1031, 547, 1521, 25574, 538, 16063, 267, 17256, 267, 29897, 267, 543, 536, 18416, 8778, 338, 267, 543, 547, 7520, 10237, 11043, 14839, 540, 519, 16063, 8778, 269, 11767, 14231, 281, 12559, 528, 696, 633, 2281, 538, 519, 16298, 540, 519, 21850, 2464, 2316, 2793, 299, 631, 308, 4596, 6347, 269, 1358, 616, 21630, 21768, 3951, 4047, 299, 24361, 595, 5085, 11862, 609, 3284, 673, 631, 2975, 4629, 309, 21135, 296, 6849, 519, 15499, 561, 18210, 269, 9373, 14231, 616, 811, 10731, 538, 519, 15382, 17920, 21850, 2464, 2316, 20911, 982, 538, 519, 700, 2752, 12283, 21850, 2464, 2316, 20911, 269, 4256, 2890, 341, 650, 328, 7494, 2333, 519, 561, 636, 1400, 2627, 1858, 540, 519, 1591, 676, 476, 1691, 268, 547, 476, 2412, 16784, 12282, 324, 329, 26915, 3026, 21182, 916, 281, 570, 636, 832, 610, 2860, 538, 519, 808, 292, 297, 7419, 9331, 3148, 540, 519, 1507, 16892, 630, 19860, 2464, 2316, 20911, 267, 15382, 17920, 1040, 292, 27027, 281, 3397, 757, 602, 2014, 13481, 269, 1358, 949, 957, 2047, 593, 519, 16063, 8778, 267, 8744, 827, 900, 8412, 998, 2199, 8886, 656, 2360, 267, 610, 18549, 267, 998, 741, 2360, 593, 519, 2447, 648, 1061, 528, 9594, 7997, 538, 519, 2022, 516, 7356, 1858, 2282, 519, 1199, 1638, 320, 9950, 908, 281, 634, 4616, 540, 17580, 6878, 5861, 566, 13255, 26287, 1231, 281, 6490, 1962, 2033, 5946, 4171, 3119, 1599, 568, 547, 7520, 519, 3560, 540, 9797, 9901, 6675, 630, 322, 725, 264, 2066, 513, 6211, 9245, 8160, 639, 2193, 2552, 3555, 281, 589, 1184, 3056, 547, 2110, 2287, 543, 5924, 1646, 540, 8082, 538, 4887, 5160, 269, 26298, 19432, 4386, 676, 513, 23510, 27129, 7271, 17929, 957, 514, 2083, 14613, 13472, 27808, 1851, 519, 1250, 28009, 2083, 14613, 9950, 338, 20652, 281, 634, 16757, 7425, 534, 748, 10126, 1063, 519, 11682, 14473, 301, 311, 543, 519, 5254, 6865, 21815, 538, 519, 772, 13048, 2207, 717, 17129, 4629, 19860, 2464, 2316, 2793, 299, 13138, 16898, 269, 4504, 13656, 3131, 1721, 566, 281, 14956, 2287, 610, 21774, 998, 519, 3774, 540, 519, 21850, 2464, 2316, 301, 2464, 14371, 770, 878, 18729, 281, 31527, 18608, 545, 3679, 1459, 538, 717, 3008, 15045, 2975, 808, 308, 21201, 269, 4504, 13656, 3026, 21182, 916, 281, 570, 636, 832, 610, 2860, 540, 519, 21850, 2464, 2316, 301, 2464, 6185, 9233, 281, 634, 6469, 2915, 267, 2052, 529, 5432, 529, 267, 16030, 827, 476, 6110, 14981, 267, 540, 519, 23097, 648, 1920, 27114, 2839, 20067, 269, 1358, 616, 5001, 538, 3892, 543, 2661, 538, 7681, 609, 1004, 269, 630, 310, 1779, 518, 781, 26495, 1023, 540, 519, 2622, 267, 476, 276, 628, 1196, 267, 533, 11793, 276, 264, 17484, 22000, 267, 6226, 24304, 3590, 281, 7736, 25646, 6514, 267, 3797, 610, 6391, 540, 519, 9667, 8778, 6185, 580, 24304, 3590, 13880, 673, 30332, 281, 17889, 5340, 593, 519, 9667, 1062, 610, 922, 2694, 10422, 4545, 805, 545, 667, 10631, 338, 281, 667, 10631, 338, 602, 2445, 623, 3198, 290, 3918, 288, 12087, 808, 308, 21201, 689, 519, 623, 3198, 290, 3918, 3008, 543, 3761, 621, 547, 519, 667, 308, 7495, 2894, 9331, 10422, 4545, 805, 4345, 281, 5442, 14566, 4456, 7246, 3582, 540, 519, 623, 3198, 290, 3918, 3008, 269, 623, 4545, 805, 4345, 568, 9286, 607, 8650, 8259, 972, 616, 17223, 9723, 4919, 610, 1439, 25646, 1427, 5766, 8565, 26601, 836, 11340, 4545, 805, 4919, 4681, 540, 8863, 305, 2177, 2975, 623, 3198, 290, 3918, 288, 2316, 2316, 306, 630, 17220, 32600, 593, 26590, 623, 4545, 805, 4345, 267, 24611, 267, 476, 1960, 273, 1040, 634, 1079, 1034, 1455, 3029, 540, 8650, 20633, 4345, 616, 9338, 4596, 295, 5357, 2975, 623, 3198, 290, 3918, 288, 2316, 2316, 306, 543, 7086, 7723, 20633, 4345, 13034, 600, 691, 5448, 281, 589, 17122, 4731, 4146, 23401, 513, 683, 22914, 267, 7768, 540, 606, 936, 29115, 540, 9921, 2281, 543, 8031, 602, 7363, 2049, 538, 519, 4299, 1858, 12282, 324, 329, 26915, 15302, 281, 11202, 1670, 1646, 538, 519, 808, 292, 297, 7419, 9331, 3148, 540, 519, 15382, 17920, 21850, 2464, 2316, 20911, 10611, 1846, 267, 1975, 4048, 826, 5937, 1177, 2917, 281, 589, 8833, 540, 11549, 3626, 3731, 1031, 4922, 585, 8097, 5301, 1317, 540, 922, 9350, 1145, 543, 8897, 540, 7829, 269, 898, 729, 2919, 676, 519, 1975, 4048, 826, 5937, 1177, 2917, 10960, 7577, 269, 4504, 32347, 267, 14066, 281, 589, 10126, 540, 519, 700, 8582, 2207, 717, 17129, 4629, 19860, 2464, 2316, 2793, 299, 13138, 16898, 602, 2882, 519, 595, 4488, 9331, 282, 519, 23333, 2177, 282, 543, 519, 681, 17614, 9331, 269, 16391, 590, 1706, 532, 32192, 281, 9828, 267, 5773, 267, 543, 11257, 5645, 856, 593, 30428, 8219, 538, 971, 513, 1259, 547, 2057, 2347, 8851, 540, 519, 1418, 543, 8190, 519, 6967, 1418, 1599, 5861, 2117, 32009, 570, 32214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3981, 532, 18817, 585, 2417, 3408, 269, 1452, 1223, 4125, 17975, 8097, 6272, 267, 9750, 3732, 5095, 267, 610, 3695, 11105, 3584, 269, 2659, 10372, 1058, 10836, 6923, 689, 707, 7664, 543, 6476, 5933, 269, 5047, 267, 789, 11129, 547, 3565, 25006, 547, 5571, 7391, 1369, 707, 9015, 780, 1103, 5758, 267, 13167, 513, 8903, 4901, 3296, 14122, 16208, 707, 2164, 15891, 13124, 2943, 18390, 267, 5104, 868, 777, 3151, 873, 1996, 1991, 1382, 267, 543, 5750, 532, 10092, 4464, 585, 7766, 5640, 269, 1677, 9414, 891, 2035, 811, 6405, 569, 267, 1577, 721, 4983, 1079, 17804, 32461, 2630, 780, 7078, 476, 272, 281, 31808, 17564, 454, 10900, 7042, 5978, 4603, 7000, 1713, 3604, 1063, 6828, 589, 543, 6828, 645, 30916, 335, 265, 2999, 1547, 4962, 1040, 1452, 4681, 2303, 602, 938, 8367, 729, 2953, 267, 10834, 602, 2473, 814, 513, 8101, 1764, 593, 962, 269, 5015, 267, 938, 2164, 5447, 609, 1346, 5833, 676, 8055, 1299, 13643, 630, 1001, 279, 1070, 3246, 3606, 1489, 585, 938, 6811, 269, 9122, 593, 891, 2164, 267, 649, 4363, 11173, 547, 8495, 519, 2078, 1063, 2473, 543, 962, 780, 7151, 476, 273, 281, 16200, 17564, 454, 10900, 14945, 5978, 7634, 20114, 19250, 1713, 21441, 1063, 6828, 589, 543, 6828, 645, 30916, 335, 265, 2999, 1547, 4962, 1070, 31552, 602, 4756, 2473, 11851, 338, 9645, 3310, 936, 6364, 962, 269, 25408, 267, 3677, 1198, 7306, 7153, 1851, 4587, 5171, 267, 20726, 532, 693, 1761, 2085, 5829, 2360, 17709, 540, 2417, 6514, 269, 4014, 5812, 609, 4505, 5359, 676, 8055, 1299, 13643, 630, 1001, 279, 1070, 938, 1353, 11651, 3022, 6825, 569, 689, 741, 338, 3823, 16045, 5542, 7355, 267, 799, 11562, 1218, 6297, 7156, 950, 9236, 2164, 780, 300, 8221, 6619, 267, 1896, 9621, 3255, 8451, 585, 14178, 713, 1899, 540, 14374, 269, 3689, 267, 6220, 19976, 1239, 1522, 8774, 1769, 593, 2436, 519, 4767, 3347, 2611, 7123, 936, 942, 269, 5822, 267, 12570, 4205, 1063, 2473, 543, 824, 4632, 1223, 7866, 1950, 5348, 1120, 2065, 6384, 554, 2416, 1729, 23257, 1819, 269, 14936, 267, 2016, 20387, 2963, 708, 2364, 908, 2098, 607, 513, 5732, 9565, 3815, 267, 10128, 621, 883, 2104, 3631, 4667, 11562, 5896, 780, 3528, 6313, 891, 17804, 1806, 267, 596, 666, 1294, 875, 519, 6793, 4901, 3091, 811, 13857, 4030, 267, 22851, 9691, 609, 2250, 1382, 267, 543, 12125, 26363, 24551, 585, 2104, 2090, 269, 2060, 2259, 267, 596, 1932, 666, 4487, 713, 1898, 5057, 540, 3312, 1382, 1603, 269, 8414, 1603, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 16240, 540, 22731, 3194, 585, 19296, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 14502, 5675, 538, 3163, 543, 7177, 2580, 834, 273, 269, 5675, 513, 3194, 1160, 27760, 2580, 834, 274, 269, 18430, 532, 3194, 2580, 834, 275, 269, 5675, 519, 3194, 7797, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 5675, 585, 22910, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 19805, 513, 4760, 2580, 834, 276, 269, 273, 269, 5675, 606, 7493, 2580, 834, 276, 269, 274, 269, 5675, 519, 4367, 2580, 834, 276, 269, 275, 269, 5675, 519, 2409, 3296, 2580, 834, 276, 269, 276, 269, 5675, 519, 2164, 3296, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 277, 269, 5675, 519, 4901, 3296, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 8080, 547, 938, 5986, 7045, 256, 4653, 649, 2811, 2469, 547, 2263, 2372, 29184, 31204, 1210, 606, 12146, 602, 1522, 581, 1007, 547, 930, 540, 596, 281, 844, 29184, 630, 29455, 26395, 2894, 2914, 1695, 1040, 4014, 621, 5654, 899, 513, 10286, 267, 844, 29184, 568, 2965, 513, 6079, 602, 2501, 689, 513, 2030, 5065, 547, 3162, 3013, 269, 1284, 3513, 1451, 1946, 1004, 2648, 713, 15988, 797, 543, 875, 2653, 621, 568, 547, 6451, 883, 8949, 8286, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 1262, 1432, 2306, 844, 29184, 2027, 15140, 272, 269, 715, 26798, 1379, 5264, 281, 2372, 29184, 3568, 811, 6775, 982, 1034, 9274, 543, 814, 782, 8370, 1898, 11254, 7408, 267, 1818, 621, 513, 9735, 2707, 540, 3940, 269, 9578, 267, 621, 781, 14095, 609, 8324, 543, 6886, 899, 4401, 267, 13101, 267, 543, 13058, 2336, 273, 269, 3794, 9790, 6954, 281, 9521, 1082, 9274, 267, 844, 29184, 3085, 1405, 2270, 15347, 267, 1818, 621, 5078, 585, 1346, 945, 991, 547, 1246, 513, 15347, 6954, 2732, 563, 274, 269, 12411, 8684, 281, 1411, 666, 3434, 844, 29184, 1175, 899, 7573, 610, 946, 621, 6151, 538, 4411, 25235, 9789, 7399, 616, 11995, 2336, 275, 269, 14168, 547, 5965, 281, 18181, 844, 29184, 3217, 1152, 476, 1428, 3764, 267, 6028, 7899, 540, 942, 585, 1187, 10051, 13144, 2439, 3086, 602, 649, 917, 1018, 2306, 844, 29184, 5863, 1577, 781, 2119, 1079, 2241, 2943, 17705, 844, 29184, 10346, 3501, 585, 1022, 803, 5306, 830, 780, 1262, 3725, 10360, 476, 272, 281, 24953, 26560, 543, 17164, 762, 2372, 29184, 30558, 4373, 28808, 19263, 1384, 265, 476, 272, 7484, 844, 29184, 454, 265, 476, 273, 11680, 1216, 610, 1970, 1606, 18754, 26185, 454, 265, 476, 272, 18470, 11273, 9269, 6089, 267, 546, 5367, 454, 265, 476, 272, 2699, 11350, 14723, 267, 22872, 454, 265, 476, 272, 1507, 1990, 1075, 577, 7236, 267, 30000, 543, 14415, 1229, 454, 265, 476, 16006, 5420, 2699, 22323, 267, 22872, 454, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 8838, 1308, 547, 25940, 281, 27054, 4765, 10381, 267, 521, 1023, 320, 267, 5259, 18506, 267, 25636, 267, 524, 559, 656, 549, 692, 9743, 15297, 1384, 272, 269, 681, 20600, 519, 844, 29184, 8499, 896, 3579, 4881, 1216, 269, 9255, 32092, 539, 844, 29184, 543, 1216, 11486, 549, 628, 538, 513, 1494, 936, 1164, 3002, 269, 20780, 547, 513, 14974, 269, 4495, 14495, 267, 2569, 3002, 547, 1970, 267, 3382, 267, 543, 31652, 2394, 5277, 568, 12842, 543, 844, 29184, 568, 13035, 267, 827, 476, 1428, 3764, 269, 12071, 742, 609, 513, 23643, 543, 1305, 11735, 563, 273, 269, 2755, 844, 29184, 29397, 267, 1094, 583, 2946, 5388, 538, 513, 1236, 32576, 10936, 539, 609, 1875, 22496, 10936, 2394, 26546, 2389, 2658, 267, 4005, 532, 609, 6070, 543, 14723, 547, 6492, 269, 5410, 11273, 9269, 1282, 519, 2063, 1906, 3764, 540, 5986, 267, 3850, 10366, 547, 5283, 323, 1927, 563, 274, 269, 28799, 11273, 844, 29184, 543, 10448, 7848, 538, 513, 7674, 12826, 269, 17186, 1134, 543, 4196, 3636, 269, 11559, 3214, 547, 1039, 741, 5172, 18593, 547, 25940, 2439, 1262, 3725, 10360, 476, 273, 281, 21690, 7137, 787, 2372, 29184, 3474, 325, 7159, 4373, 28808, 19263, 1384, 265, 476, 272, 7484, 844, 29184, 267, 5423, 2687, 547, 10189, 5528, 543, 669, 2683, 454, 265, 476, 272, 7484, 6404, 15708, 630, 19990, 11241, 267, 22229, 267, 3109, 11241, 267, 3092, 8094, 265, 476, 272, 19337, 267, 30000, 454, 265, 476, 26528, 7484, 9932, 610, 989, 1511, 21360, 454, 265, 476, 16006, 7484, 10750, 5259, 18506, 454, 265, 8838, 1308, 21959, 880, 281, 20511, 3762, 267, 11491, 7637, 267, 17310, 1166, 1389, 692, 9743, 15297, 1384, 272, 269, 19147, 3368, 540, 519, 669, 2683, 844, 29184, 1851, 2185, 14296, 610, 26633, 269, 5440, 1142, 4837, 14961, 609, 6404, 15708, 543, 30000, 20397, 269, 667, 686, 14794, 4829, 6106, 609, 3368, 540, 519, 9932, 610, 989, 1511, 21360, 563, 273, 269, 1975, 3019, 5259, 18506, 936, 519, 4829, 4494, 267, 12270, 8449, 1851, 519, 2185, 32122, 563, 274, 269, 19244, 2482, 1359, 1184, 609, 6967, 844, 29184, 267, 5613, 267, 543, 6653, 10273, 269, 717, 7568, 880, 1612, 17304, 1080, 609, 5551, 547, 25940, 1354, 11981, 891, 24253, 13000, 2439, 23558, 256, 3767, 596, 4312, 3893, 1079, 32727, 696, 1190, 844, 29184, 10346, 896, 707, 12966, 269, 9523, 873, 609, 1920, 543, 2828, 543, 23666, 3025, 609, 707, 11477, 1983, 1247, 556, 12686, 519, 2640, 540, 713, 14312, 15988, 797, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16032, 769, 19763, 13928, 5253, 1280, 14066, 6601, 2644, 454, 16032, 769, 19763, 13928, 5253, 1280, 14066, 6601, 2644, 11039, 267, 711, 8209, 267, 2523, 952, 596, 616, 6297, 827, 7446, 799, 1426, 596, 4444, 269, 1655, 2915, 1426, 585, 621, 6501, 15454, 327, 2432, 269, 898, 779, 2139, 538, 1585, 10346, 267, 971, 607, 9269, 1299, 7573, 543, 13687, 1299, 7573, 267, 547, 8597, 547, 519, 8795, 5493, 919, 540, 5243, 269, 7454, 769, 19763, 13928, 5253, 585, 14066, 6601, 2644, 910, 1496, 24246, 518, 781, 6651, 316, 2052, 17268, 16202, 3212, 534, 7491, 286, 910, 7454, 6651, 593, 14856, 3212, 534, 7491, 676, 17268, 269, 1879, 8939, 519, 1655, 20522, 2915, 1426, 585, 1804, 14981, 267, 971, 607, 4279, 667, 6951, 267, 1715, 11398, 4133, 267, 543, 12142, 12672, 1841, 267, 596, 786, 1616, 547, 1294, 513, 8101, 2179, 540, 3940, 7396, 538, 519, 5820, 269, 14986, 6229, 15604, 8381, 1633, 25143, 548, 13928, 16170, 910, 631, 13624, 269, 898, 1281, 4043, 547, 723, 2539, 2157, 540, 3170, 2443, 1945, 547, 1832, 538, 2247, 952, 707, 2915, 11148, 547, 581, 896, 7076, 269, 901, 11600, 2882, 1100, 13386, 267, 10568, 267, 610, 8970, 267, 543, 568, 1390, 585, 5243, 609, 2960, 11959, 610, 824, 2960, 22740, 8481, 269, 898, 3096, 9269, 267, 23758, 267, 3165, 267, 543, 21429, 585, 513, 2347, 543, 9867, 3940, 1527, 559, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5226, 29184, 10346, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 19676, 1299, 3400, 1231, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23299, 5811, 538, 2382, 656, 11619, 1645, 15789, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 596, 786, 1451, 827, 5821, 2079, 538, 519, 1158, 540, 2029, 256, 13018, 267, 649, 3513, 2263, 1018, 4523, 950, 1919, 979, 4636, 538, 519, 1374, 543, 6388, 540, 2442, 2792, 2645, 899, 8216, 20261, 8924, 269, 1284, 3513, 4685, 883, 1483, 3734, 1806, 543, 3605, 875, 3173, 5659, 14286, 547, 948, 2087, 2104, 4066, 780, 1262, 272, 269, 4985, 547, 2382, 656, 11619, 1645, 29393, 16001, 5331, 11488, 6835, 267, 4687, 6337, 267, 543, 1818, 5639, 7125, 609, 707, 2828, 1472, 519, 1158, 1210, 1175, 707, 16335, 610, 2780, 910, 602, 781, 1018, 8216, 20261, 630, 8379, 264, 8924, 5512, 721, 547, 798, 256, 2368, 2442, 22558, 8924, 1331, 29243, 7343, 267, 9365, 11619, 10152, 267, 4787, 4286, 267, 543, 1082, 811, 269, 1452, 8924, 946, 10427, 3301, 543, 4950, 4296, 547, 5838, 938, 6835, 3533, 543, 18172, 269, 1809, 1705, 596, 917, 602, 3006, 972, 666, 581, 2042, 609, 891, 8924, 602, 2061, 873, 689, 2324, 7157, 286, 2334, 781, 1141, 5821, 2079, 2501, 538, 2439, 1262, 273, 269, 1548, 568, 23299, 5811, 15140, 293, 19691, 2079, 568, 519, 1184, 540, 14236, 1946, 1945, 4769, 1405, 960, 607, 5497, 269, 898, 3322, 10655, 2963, 267, 6998, 2565, 2055, 267, 543, 3168, 585, 3270, 547, 1174, 519, 3597, 2014, 540, 519, 1966, 269, 1635, 7900, 5821, 2079, 267, 8030, 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 ]
[ 1001, 276, 14216, 1577, 345, 974, 29817, 1276, 538, 918, 18866, 267, 3541, 2144, 4614, 5651, 2297, 3768, 918, 18866, 267, 24166, 717, 525, 1495, 15241, 267, 2473, 328, 29883, 4771, 14850, 1276, 974, 5884, 918, 4802, 1731, 538, 32147, 13860, 269, 7137, 32218, 564, 267, 1924, 345, 658, 17882, 267, 5884, 910, 21902, 267, 546, 553, 10246, 631, 839, 7770, 538, 17623, 514, 15330, 11986, 454, 615, 332, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16524, 5937, 2700, 12875, 532, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11846, 1299, 28046, 1315, 20676, 532, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 6385, 9687, 1158, 540, 6283, 267, 1079, 1883, 2035, 723, 6591, 1713, 20086, 281, 1286, 6879, 2130, 543, 22994, 1006, 23829, 8584, 4149, 16291, 630, 300, 30962, 1040, 1452, 5499, 4485, 616, 13321, 875, 1004, 2951, 543, 2170, 609, 26873, 267, 3246, 1007, 1870, 3255, 543, 2591, 1369, 519, 16669, 2872, 269, 901, 1576, 1770, 12538, 883, 891, 6932, 3466, 1247, 3695, 1761, 6286, 585, 8639, 267, 1519, 6800, 267, 9755, 267, 543, 3028, 7426, 269, 1284, 2253, 676, 10747, 1286, 6879, 2130, 543, 8575, 320, 306, 267, 4553, 676, 5717, 593, 2344, 6384, 267, 8013, 8916, 267, 7082, 7375, 267, 9431, 10850, 267, 6639, 7760, 267, 543, 7580, 9270, 780, 10111, 6879, 2130, 4016, 547, 2110, 3856, 23934, 12417, 1141, 3755, 2744, 10151, 1569, 547, 6472, 1510, 26539, 873, 30739, 269, 15380, 19658, 998, 3059, 5867, 267, 1286, 6879, 2130, 3091, 3875, 2640, 971, 607, 4389, 6808, 20316, 267, 2539, 18736, 7569, 267, 8519, 2825, 5222, 267, 8476, 10688, 3681, 267, 543, 1942, 9806, 3379, 547, 4357, 6174, 9562, 269, 11531, 267, 22994, 1006, 23829, 8584, 4149, 16291, 4564, 513, 811, 7471, 1935, 602, 4422, 3564, 6071, 1286, 10519, 1023, 282, 621, 13315, 3818, 21524, 531, 6283, 3435, 13296, 1585, 12331, 540, 3560, 31251, 21772, 267, 14884, 267, 21891, 267, 11878, 3620, 9430, 2533, 267, 543, 3838, 6472, 1765, 732, 16900, 4448, 3842, 3059, 17103, 269, 1635, 7175, 1439, 3562, 15134, 15322, 3358, 547, 1367, 2115, 267, 8575, 320, 306, 8992, 4264, 4683, 1646, 543, 10607, 2949, 2298, 540, 1272, 780, 763, 4473, 540, 1286, 6879, 2130, 543, 8575, 320, 306, 9356, 6626, 6848, 10593, 2509, 4687, 11615, 267, 6940, 267, 13418, 267, 14479, 267, 543, 2123, 1436, 269, 1306, 7074, 538, 519, 12370, 6355, 5623, 2376, 834, 3963, 519, 19457, 19004, 1772, 3807, 15775, 29035, 2437, 4213, 3710, 1472, 10319, 4616, 3631, 7148, 883, 896, 583, 28895, 7221, 543, 1711, 1871, 585, 1312, 14273, 543, 5561, 269, 6684, 267, 21025, 514, 8124, 781, 1867, 834, 31413, 10688, 693, 513, 512, 6235, 1448, 257, 8711, 875, 2029, 12454, 10124, 616, 18534, 12686, 4683, 6283, 1949, 5001, 269, 1280, 3236, 267, 4872, 899, 670, 1564, 1074, 328, 543, 21499, 616, 2907, 7598, 3102, 8575, 320, 306, 7341, 6322, 693, 7393, 10333, 543, 4227, 3327, 29066, 780, 15812, 564, 26409, 4249, 513, 2629, 1909, 538, 5935, 2994, 1369, 519, 1286, 6879, 2130, 543, 8575, 320, 306, 9922, 269, 5915, 4919, 2188, 267, 10923, 8658, 267, 8965, 3270, 267, 543, 2618, 16623, 782, 3310, 3593, 7375, 543, 18515, 547, 9772, 3209, 10688, 3435, 269, 1280, 1383, 267, 7820, 5481, 1765, 31860, 15940, 10118, 543, 2637, 2098, 619, 1765, 339, 754, 547, 8858, 6793, 25505, 4724, 4687, 4346, 3741, 982, 4587, 16649, 2176, 269, 19452, 267, 16437, 518, 4683, 2127, 1419, 1459, 3152, 3747, 585, 4244, 6283, 3681, 1813, 547, 1102, 2858, 24780, 10148, 267, 2362, 2713, 3790, 267, 543, 2799, 2825, 4656, 269, 4197, 891, 16082, 6087, 3549, 547, 3077, 1808, 6075, 12415, 3927, 267, 11126, 4199, 14305, 267, 543, 6536, 14017, 780, 8802, 17419, 5054, 3648, 1764, 519, 2208, 16548, 540, 1286, 6879, 2130, 543, 8575, 320, 306, 26136, 269, 22749, 29937, 8101, 3310, 936, 2344, 7127, 7496, 267, 5665, 2175, 267, 3106, 4441, 267, 24307, 267, 21259, 4507, 267, 1239, 7834, 6042, 267, 543, 5989, 9541, 269, 9182, 267, 10909, 1590, 6330, 1950, 3656, 8916, 950, 9750, 4238, 2066, 22875, 610, 8108, 12352, 609, 1857, 5823, 9988, 269, 1280, 3236, 267, 930, 25772, 949, 20818, 7453, 24416, 4170, 585, 1286, 6879, 732, 12427, 267, 6466, 1866, 1522, 2709, 2883, 15314, 547, 3895, 3039, 6283, 8925, 269, 19484, 891, 14960, 19329, 7347, 3609, 2079, 7207, 543, 14942, 6278, 609, 4143, 8128, 780, 20007, 1670, 7760, 13822, 1776, 2565, 3815, 12018, 6735, 1369, 519, 1286, 6879, 2130, 543, 8575, 320, 306, 11890, 269, 3763, 906, 538, 5841, 4987, 267, 5769, 540, 12085, 630, 31166, 1070, 7658, 3901, 923, 267, 18546, 2305, 267, 543, 14628, 6117, 9153, 547, 22499, 10688, 2833, 2417, 269, 8682, 28391, 6472, 267, 538, 1880, 267, 3180, 10373, 1761, 585, 13321, 538, 21307, 9913, 543, 7607, 267, 607, 6700, 676, 938, 3355, 1349, 7234, 519, 5912, 689, 834, 738, 1493, 6117, 6191, 257, 547, 834, 738, 1493, 21514, 978, 532, 6191, 1701, 11569, 267, 513, 1353, 5342, 676, 27311, 25221, 602, 14628, 6472, 786, 5352, 909, 547, 1269, 278, 18265, 538, 5993, 2804, 2534, 676, 476, 13078, 271, 267, 7361, 9141, 676, 2799, 13345, 3928, 267, 8476, 18213, 4313, 267, 543, 10531, 6725, 3255, 780, 25618, 545, 9270, 585, 1651, 3518, 550, 5716, 543, 1007, 1303, 7847, 7567, 4125, 5402, 10442, 12352, 267, 12388, 619, 543, 4203, 29792, 267, 5092, 3664, 267, 1587, 2823, 31987, 267, 14499, 3631, 267, 543, 979, 3562, 27360, 564, 4485, 269, 11622, 725, 1063, 2757, 3678, 5474, 543, 10509, 23766, 12013, 1518, 713, 7678, 282, 16110, 781, 19710, 609, 1488, 2998, 3642, 543, 5292, 802, 342, 10402, 781, 17063, 5346, 609, 9786, 9414, 3646, 547, 7535, 2200, 267, 2671, 4220, 267, 543, 15407, 14911, 1983, 1115, 538, 13287, 540, 17282, 1369, 24567, 6990, 269, 5015, 267, 10909, 666, 2263, 3309, 8907, 12535, 971, 607, 20478, 2861, 2533, 267, 6422, 14499, 267, 6098, 10229, 267, 543, 1871, 14194, 4765, 2934, 547, 24772, 20656, 780, 1103, 3932, 267, 1286, 6879, 2130, 543, 22994, 1006, 23829, 8584, 4149, 16291, 2099, 11358, 4229, 4412, 2454, 7004, 1369, 519, 18914, 2872, 269, 27933, 560, 13346, 7082, 6788, 267, 14556, 4328, 6735, 267, 9687, 9431, 20816, 267, 543, 26688, 4066, 267, 3906, 1590, 3082, 24847, 547, 31194, 593, 28928, 3255, 1247, 19086, 2404, 4220, 269, 3414, 11826, 2079, 540, 2344, 3466, 267, 15295, 10593, 267, 8013, 8916, 267, 543, 12550, 11296, 2188, 267, 713, 1576, 1770, 28382, 6267, 609, 1898, 1702, 543, 2645, 2556, 585, 14762, 538, 606, 5051, 6422, 543, 10562, 2518, 4346, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2252, 519, 4417, 540, 9920, 1652, 6517, 2488, 513, 8772, 5496, 3842, 799, 2951, 6840, 1569, 1543, 267, 8924, 543, 2533, 267, 945, 786, 1683, 519, 1543, 286, 6723, 5689, 574, 7710, 519, 3255, 543, 2708, 525, 799, 14540, 1223, 1831, 519, 538, 21307, 1543, 7426, 563, 1103, 519, 1279, 2165, 267, 22720, 310, 779, 10700, 6117, 3684, 3587, 606, 10700, 21514, 978, 532, 3684, 538, 799, 2951, 6840, 1107, 711, 10256, 1107, 3460, 547, 741, 18353, 269, 634, 1286, 3587, 606, 14628, 26459, 4216, 538, 799, 15915, 786, 960, 267, 6001, 267, 8532, 1543, 543, 1256, 3207, 269, 634, 1286, 540, 519, 2104, 786, 4163, 519, 6216, 2418, 540, 922, 20536, 269, 589, 8585, 1027, 525, 786, 1745, 899, 513, 8585, 1027, 525, 543, 513, 715, 1170, 534, 786, 1745, 899, 513, 715, 1170, 534, 543, 713, 786, 581, 13087, 676, 519, 18908, 1782, 540, 519, 6174, 543, 519, 17234, 1031, 538, 922, 4070, 269, 14675, 543, 5075, 786, 849, 1404, 513, 4105, 851, 563, 2108, 4415, 3167, 543, 14628, 6517, 267, 621, 3587, 513, 1114, 28458, 2223, 3081, 14472, 1723, 324, 5261, 5459, 267, 2212, 540, 32107, 693, 7136, 633, 24523, 267, 513, 11285, 538, 8301, 32107, 799, 814, 5249, 609, 8585, 1027, 525, 543, 645, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 24322, 1315, 14825, 9394, 12752, 1315, 2961, 27691, 2130, 543, 22994, 1006, 23829, 8584, 4149, 16291, 630, 300, 30962, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 1546, 3712, 517, 1944, 30188, 281, 1133, 557, 4979, 519, 700, 16558, 540, 18650, 543, 14740, 538, 6406, 2782, 9085, 692, 1103, 519, 21987, 540, 2622, 2782, 4083, 267, 513, 5951, 540, 4550, 12258, 11102, 5322, 25626, 2066, 519, 8608, 267, 3056, 547, 519, 11944, 540, 1585, 4831, 29171, 12973, 1369, 24243, 269, 7324, 891, 7459, 941, 2022, 24645, 630, 322, 8590, 264, 2090, 267, 799, 13934, 519, 30566, 545, 6386, 10419, 18050, 676, 5375, 11440, 7060, 269, 1635, 12561, 513, 2836, 756, 23307, 21169, 267, 2022, 24645, 2090, 8179, 547, 24905, 548, 519, 22514, 580, 525, 540, 7810, 19237, 11251, 538, 3332, 543, 2528, 269, 901, 1576, 1770, 12538, 883, 519, 3638, 13795, 540, 26976, 534, 3540, 2112, 3332, 998, 519, 7828, 540, 2022, 24645, 2090, 267, 13031, 519, 1950, 6384, 540, 4187, 267, 3961, 5250, 267, 543, 1232, 565, 11102, 640, 269, 1284, 786, 2263, 875, 26976, 534, 4589, 4044, 730, 519, 24360, 7297, 540, 2797, 4655, 543, 2686, 30331, 10052, 267, 13167, 3532, 6386, 602, 7866, 519, 6946, 4296, 1063, 1379, 267, 1702, 267, 543, 6041, 780, 272, 269, 4985, 547, 5403, 24645, 5525, 543, 922, 25684, 547, 6239, 1977, 9085, 692, 4263, 922, 4295, 267, 2022, 24645, 2090, 23827, 919, 519, 3140, 267, 1514, 267, 543, 2686, 4539, 540, 3864, 7810, 7269, 543, 12116, 519, 2081, 538, 799, 32519, 5396, 5706, 267, 21907, 267, 543, 28196, 710, 741, 9163, 1369, 519, 2796, 540, 12623, 20470, 1379, 1894, 269, 1677, 1174, 519, 4644, 540, 2022, 24645, 2090, 538, 7421, 6239, 1977, 2148, 2137, 267, 621, 781, 1898, 547, 5431, 519, 3148, 781, 2189, 1686, 540, 21037, 267, 14226, 267, 543, 4187, 269, 1280, 5553, 267, 6805, 5095, 538, 30188, 723, 28815, 10795, 1016, 24503, 566, 267, 7006, 1601, 11970, 267, 543, 30886, 693, 519, 3946, 540, 5053, 9518, 626, 611, 832, 543, 2663, 267, 683, 4377, 11102, 4229, 269, 1452, 2833, 540, 15746, 723, 2451, 2620, 26711, 593, 519, 7104, 20369, 3832, 540, 26976, 753, 267, 5935, 741, 2686, 3965, 543, 26655, 741, 7499, 7215, 269, 9182, 267, 26976, 534, 3540, 2112, 3332, 2488, 15417, 2666, 585, 3695, 519, 1883, 28975, 540, 2022, 24645, 3069, 267, 1519, 26477, 7190, 267, 17932, 787, 267, 5605, 2526, 775, 267, 543, 10489, 738, 4851, 780, 272, 269, 8466, 12745, 281, 30188, 781, 7043, 10003, 547, 14412, 543, 519, 17959, 540, 519, 6406, 2782, 692, 2414, 9787, 519, 7096, 6286, 540, 2022, 24645, 2090, 585, 1620, 26976, 534, 3540, 2112, 3332, 267, 835, 1590, 1101, 29872, 2933, 609, 519, 2197, 781, 31341, 6681, 2250, 269, 3245, 519, 22266, 21037, 540, 519, 15609, 10340, 538, 519, 2038, 31303, 2540, 547, 519, 1486, 26167, 11439, 6560, 1063, 2229, 4229, 543, 2451, 626, 1368, 518, 18115, 553, 1282, 519, 8545, 3368, 540, 519, 14206, 2540, 267, 30188, 781, 3140, 18330, 814, 1044, 6825, 676, 796, 7758, 550, 532, 5208, 267, 8635, 267, 543, 21440, 269, 32274, 519, 5072, 540, 891, 7526, 547, 519, 23543, 540, 19525, 543, 683, 4377, 11102, 1143, 2636, 721, 547, 5660, 519, 13857, 2081, 538, 799, 26976, 534, 4589, 4497, 609, 2152, 540, 3961, 267, 4187, 267, 543, 28160, 1436, 538, 741, 14070, 1568, 780, 763, 12625, 540, 5053, 9518, 626, 11456, 31883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 649, 4951, 602, 13235, 29620, 1591, 2208, 540, 519, 1480, 1199, 1638, 984, 18431, 5448, 1591, 3515, 20707, 1195, 543, 667, 27543, 5336, 3633, 543, 713, 1198, 568, 2404, 609, 519, 1524, 28832, 540, 22007, 9593, 848, 2534, 269, 1677, 4266, 267, 476, 273, 2101, 9354, 4485, 1996, 22007, 9593, 848, 25698, 6084, 712, 2281, 616, 538, 4791, 8062, 269, 16998, 301, 14321, 299, 267, 513, 1463, 22007, 9593, 848, 28166, 267, 568, 538, 4693, 585, 519, 2126, 540, 5312, 9726, 7514, 6776, 682, 26854, 8598, 267, 2789, 24869, 5448, 267, 4396, 6084, 2293, 543, 20060, 332, 718, 1591, 5761, 2860, 630, 10064, 290, 9448, 1040, 4097, 11153, 9354, 10074, 13389, 554, 9898, 307, 616, 538, 267, 610, 723, 6192, 267, 8062, 585, 519, 2126, 540, 682, 26854, 8598, 543, 17669, 267, 17150, 267, 5761, 267, 2960, 267, 25524, 543, 6089, 2860, 269, 272, 22702, 609, 824, 7318, 7135, 13389, 519, 22007, 9593, 848, 267, 610, 22007, 9593, 848, 9354, 10074, 267, 799, 616, 4867, 538, 4791, 8062, 267, 13235, 814, 1044, 1031, 585, 1082, 1296, 585, 519, 2126, 540, 15978, 269, 1015, 267, 476, 3374, 4475, 267, 519, 19175, 540, 1210, 713, 3075, 538, 2860, 3797, 1131, 723, 6654, 5383, 2016, 922, 7957, 24461, 3106, 9043, 543, 922, 16917, 8344, 2594, 540, 3622, 1434, 10892, 547, 4797, 7245, 269, 11569, 267, 649, 1705, 711, 7747, 10408, 17219, 267, 1310, 13235, 2126, 267, 538, 476, 273, 3339, 27090, 1591, 2010, 540, 9597, 710, 5169, 563, 2080, 267, 649, 4767, 602, 519, 13235, 17466, 22629, 540, 1591, 18735, 538, 667, 27543, 5336, 3633, 2281, 568, 10483, 676, 513, 10565, 2333, 538, 1591, 2669, 269, 901, 568, 538, 13076, 547, 1776, 1353, 6029, 602, 10641, 21925, 3940, 268, 278, 630, 289, 6573, 278, 264, 28901, 22007, 9593, 848, 22629, 267, 22007, 558, 699, 2110, 2287, 267, 543, 1591, 2669, 676, 513, 7271, 5473, 519, 1065, 1833, 540, 554, 9898, 307, 267, 538, 17818, 2860, 2281, 269, 3607, 454, 8489, 553, 267, 538, 519, 20707, 1195, 1591, 1899, 267, 2059, 609, 519, 6175, 538, 1591, 18735, 267, 649, 4767, 513, 1713, 1591, 13250, 538, 519, 717, 273, 19072, 5123, 540, 519, 1591, 4783, 267, 1310, 4598, 547, 13235, 269, 13235, 1705, 9444, 2014, 1713, 1591, 2669, 6862, 30091, 607, 8612, 676, 674, 3722, 306, 6482, 540, 2281, 609, 3834, 617, 328, 30666, 5027, 1543, 267, 11021, 602, 8519, 1591, 18735, 2864, 9356, 513, 11636, 15639, 689, 519, 1591, 4783, 269, 20052, 9593, 848, 568, 513, 10775, 31265, 29952, 1950, 602, 8591, 22007, 9593, 545, 28197, 5196, 519, 7475, 540, 15954, 1282, 519, 18187, 894, 5123, 540, 519, 1591, 4783, 269, 769, 1249, 267, 519, 5207, 2157, 540, 22007, 9593, 848, 2534, 616, 1336, 538, 2281, 602, 616, 538, 519, 590, 25686, 540, 519, 1591, 4783, 267, 6466, 2281, 538, 717, 273, 19072, 5123, 723, 2370, 610, 1100, 22007, 9593, 848, 2534, 269, 4391, 901, 568, 538, 13076, 547, 824, 2090, 6029, 602, 519, 22629, 540, 22007, 9593, 848, 2534, 568, 2404, 609, 513, 3625, 538, 519, 717, 273, 19072, 5123, 540, 519, 1591, 4783, 269, 4343, 2290, 540, 891, 2090, 4951, 602, 943, 528, 2513, 476, 1321, 2173, 344, 2077, 622, 476, 1724, 14092, 564, 622, 13251, 513, 1591, 4783, 10654, 538, 717, 273, 19072, 538, 607, 2106, 11388, 3585, 3395, 715, 17092, 9448, 2281, 543, 24705, 1042, 24466, 543, 23020, 2934, 540, 6845, 525, 12412, 267, 1519, 1524, 28832, 540, 22007, 9593, 848, 2534, 269, 4375, 3776, 2164, 1397, 602, 13235, 2126, 5012, 20707, 1195, 2281, 547, 10654, 538, 717, 273, 19072, 6466, 621, 28901, 1591, 2669, 538, 667, 27543, 5336, 3633, 267, 2693, 998, 519, 22629, 540, 519, 22007, 9593, 848, 269, 1717, 267, 2417, 2090, 547, 4983, 519, 6675, 26582, 538, 519, 7939, 540, 519, 717, 273, 19072, 5123, 2638, 4812, 543, 538, 519, 1591, 2669, 10872, 616, 2629, 547, 1174, 519, 7636, 7271, 540, 13235, 267, 543, 789, 616, 4867, 896, 7634, 538, 938, 8047, 563, 8256, 11962, 609, 519, 3844, 1909, 540, 22007, 558, 699, 2110, 2287, 538, 519, 18187, 894, 6845, 525, 12412, 10872, 267, 3953, 267, 476, 4375, 267, 476, 2412, 13235, 729, 849, 2111, 547, 16578, 10408, 6845, 525, 12412, 538, 1312, 1199, 1638, 984, 18431, 5448, 1591, 3515, 269, 901, 568, 1360, 4277, 6236, 602, 6845, 525, 12412, 568, 513, 3532, 6084, 712, 1139, 4809, 7271, 269, 1809, 2436, 519, 6845, 27853, 26737, 568, 513, 1463, 12343, 540, 22007, 558, 699, 11761, 267, 610, 2864, 621, 568, 1813, 547, 22007, 558, 699, 3259, 23949, 8817, 2242, 3788, 547, 581, 3964, 269, 769, 1249, 267, 621, 814, 1044, 4080, 602, 1310, 22007, 9593, 848, 1065, 1833, 824, 6127, 602, 616, 4830, 689, 22007, 558, 699, 11761, 666, 9594, 513, 3441, 3210, 543, 23589, 1591, 268, 12860, 10654, 610, 2669, 269, 272, 267, 476, 6078, 267, 476, 5655, 454, 11101, 267, 519, 11506, 4082, 540, 717, 293, 4338, 543, 20219, 301, 12508, 267, 1312, 693, 22328, 543, 3940, 2157, 267, 2059, 609, 519, 8411, 924, 5250, 4767, 538, 1312, 1591, 3515, 1739, 476, 273, 4374, 540, 2126, 609, 13235, 267, 6700, 602, 513, 811, 21630, 26737, 1185, 1044, 13251, 269, 634, 15632, 540, 15285, 9648, 538, 938, 6901, 1310, 13235, 2126, 568, 6093, 540, 1866, 20127, 540, 22007, 9593, 848, 2534, 543, 568, 2693, 547, 581, 1813, 547, 606, 12012, 4806, 540, 5444, 4082, 269, 6246, 4340, 547, 667, 2459, 1696, 620, 1421, 6246, 538, 1249, 267, 519, 3075, 24975, 22007, 9593, 848, 22629, 538, 2860, 2281, 814, 1044, 4080, 547, 2569, 18735, 543, 16578, 2242, 538, 5444, 4082, 267, 2059, 609, 519, 5920, 540, 6845, 525, 12412, 10689, 12201, 269, 3776, 2164, 616, 538, 13076, 547, 1776, 1353, 267, 538, 799, 1884, 4618, 1356, 2360, 540, 620, 4141, 15041, 617, 514, 4125, 717, 273, 19072, 1591, 13250, 598, 1260, 26938, 609, 519, 15632, 540, 15285, 269, 4510, 769, 1840, 267, 1427, 3626, 545, 3679, 630, 6938, 264, 16755, 4951, 15632, 540, 1591, 15285, 267, 30091, 267, 543, 2208, 10654, 538, 930, 1199, 1638, 984, 18431, 5448, 2281, 269, 769, 1880, 267, 519, 2164, 7152, 602, 1591, 2208, 10654, 729, 519, 1292, 7271, 676, 799, 17241, 7409, 1243, 1591, 18735, 538, 519, 1199, 1638, 984, 18431, 5448, 1591, 1899, 20707, 1195, 267, 855, 711, 538, 519, 1866, 630, 291, 27543, 5336, 3633, 543, 667, 30130, 1070, 538, 799, 621, 28901, 30091, 269, 3393, 4475, 621, 568, 2009, 602, 13235, 29620, 1591, 18735, 267, 676, 717, 273, 19072, 3625, 610, 1591, 2669, 4470, 593, 1591, 1826, 267, 543, 16578, 15285, 998, 519, 22629, 540, 22007, 9593, 848, 2534, 269, 4634, 952, 519, 7636, 7271, 676, 799, 13235, 29620, 18735, 543, 28901, 15285, 616, 1869, 547, 581, 5587, 1881, 267, 519, 4466, 602, 13235, 666, 16578, 519, 4082, 540, 15285, 12508, 538, 1199, 1638, 984, 18431, 5448, 2281, 5267, 602, 621, 949, 22887, 10663, 519, 23872, 543, 10728, 26737, 540, 9927, 2281, 23646, 519, 11144, 540, 2068, 269, 17449, 593, 19223, 2090, 267, 538, 1249, 267, 723, 3254, 602, 519, 6090, 15725, 519, 15285, 1184, 616, 711, 4503, 538, 23872, 2281, 855, 519, 6786, 15725, 1591, 18735, 267, 30091, 543, 15285, 616, 26843, 269, 4935, 267, 621, 568, 1271, 547, 1265, 8069, 602, 616, 2111, 547, 11177, 519, 15725, 12227, 602, 786, 16578, 6084, 712, 2281, 547, 16174, 543, 556, 3200, 741, 23872, 26737, 269, 21452, 267, 2208, 22629, 543, 2799, 8417, 547, 1884, 4618, 1356, 5061, 941, 4767, 538, 20707, 1195, 2281, 1098, 2739, 539, 609, 717, 293, 4338, 269, 5379, 6270, 15285, 1223, 849, 1118, 6084, 712, 2281, 811, 17841, 547, 3339, 2208, 9431, 6786, 610, 811, 6213, 547, 18068, 543, 824, 15285, 8069, 269, 5325, 1280, 3236, 267, 519, 7415, 1967, 540, 782, 20675, 3146, 339, 3626, 545, 3679, 538, 6721, 2347, 1121, 2153, 538, 2550, 609, 8650, 1596, 344, 601, 7514, 6776, 26679, 814, 13631, 1719, 538, 15285, 607, 606, 4244, 1106, 540, 2860, 18068, 269, 4366, 9615, 609, 1427, 27546, 666, 849, 16578, 15285, 538, 4230, 24945, 5052, 267, 1927, 609, 22007, 9593, 848, 2534, 1524, 28832, 543, 2333, 540, 1591, 8417, 547, 3454, 565, 269, 5392, 454, 5194, 19224, 548, 538, 519, 2126, 540, 1199, 1638, 984, 18431, 5448, 568, 602, 519, 1973, 1532, 1778, 11064, 9673, 1206, 519, 7127, 540, 28920, 32281, 543, 1804, 9067, 30858, 7135, 883, 519, 2634, 269, 1704, 267, 476, 3374, 634, 9067, 30858, 2470, 540, 13235, 267, 799, 6087, 621, 547, 1780, 998, 519, 1973, 1532, 1778, 11064, 811, 3362, 267, 2004, 4564, 2943, 1776, 5413, 540, 922, 2009, 946, 585, 519, 2126, 540, 1199, 1638, 984, 18431, 5448, 269, 5047, 267, 2016, 922, 1434, 7109, 1464, 267, 13235, 2126, 1223, 581, 2404, 547, 1699, 11257, 1031, 585, 1199, 1638, 984, 18431, 5448, 267, 1519, 2447, 6139, 8427, 12659, 2643, 908, 8665, 267, 971, 607, 28250, 680, 11294, 636, 543, 476, 272, 24179, 273, 7302, 3271, 334, 14007, 9984, 274, 268, 7094, 334, 28411, 2643, 268, 272, 5991, 527, 4592, 537, 16699, 267, 610, 5378, 5328, 20127, 267, 971, 607, 642, 4532, 2077, 710, 269, 1704, 267, 476, 7906, 454, 1103, 3932, 267, 649, 2303, 602, 519, 946, 540, 13235, 267, 799, 568, 4867, 1031, 538, 519, 2126, 540, 15978, 267, 1223, 581, 606, 2500, 9354, 4640, 267, 4805, 610, 538, 4999, 609, 1699, 11257, 267, 585, 519, 2126, 540, 22007, 9593, 848, 11589, 6084, 2293, 267, 971, 607, 1480, 1199, 1638, 984, 18431, 5557, 563, 1607, 1353, 729, 6462, 676, 22078, 295, 14828, 547, 589, 14371, 269, 543, 676, 519, 590, 8663, 549, 2657, 3194, 9257, 269, 0, 7312, 7047, 568, 8900, 4537, 641, 454, 8340, 8037, 3140, 4025, 593, 513, 10145, 4786, 563, 763, 1514, 267, 2804, 543, 2797, 4539, 540, 2622, 2782, 594, 538, 1978, 2477, 563, 763, 476, 4350, 277, 14400, 21396, 941, 4371, 538, 12670, 267, 519, 3854, 540, 5125, 563, 763, 674, 18017, 24415, 935, 568, 519, 1034, 3811, 8484, 538, 519, 7121, 540, 3818, 26928, 25881, 563, 299, 11343, 538, 519, 9835, 17018, 4302, 540, 25120, 27204, 267, 519, 18087, 19487, 695, 9068, 568, 519, 1034, 10723, 3135, 540, 5771, 563, 312, 19441, 717, 698, 18288, 2968, 519, 1101, 1480, 538, 2230, 593, 476, 1321, 4989, 476, 3422, 272, 563, 8138, 3405, 1149, 1185, 606, 1271, 1909, 538, 17189, 13137, 607, 2038, 607, 2622, 2782, 594, 563, 288, 5985, 267, 6046, 32728, 762, 3440, 2065, 23828, 2919, 693, 519, 1439, 540, 519, 12019, 2782, 269, 0, 292, 2202, 568, 851, 540, 20195, 22057, 11782, 269, 901, 851, 540, 519, 1158, 568, 1360, 3309, 543, 1360, 3309, 568, 849, 519, 2067, 543, 812, 1500, 6561, 269, 4400, 7547, 540, 2342, 616, 912, 268, 8466, 6189, 910, 2342, 568, 5667, 584, 10139, 539, 538, 2474, 540, 3140, 6189, 543, 1148, 269, 4658, 616, 7836, 741, 2898, 2729, 267, 21409, 543, 15388, 713, 6561, 855, 649, 666, 581, 8746, 910, 1100, 835, 568, 2111, 547, 10146, 782, 891, 2418, 269, 3509, 5656, 538, 2342, 2099, 513, 8445, 540, 7499, 543, 7293, 1983, 540, 1004, 910, 971, 607, 23509, 24130, 267, 2142, 879, 9366, 529, 24130, 267, 20066, 540, 12411, 320, 14792, 267, 20066, 540, 31689, 543, 3875, 824, 5656, 269, 24131, 267, 4258, 3122, 267, 26285, 826, 543, 1082, 824, 3864, 4872, 4866, 547, 519, 1034, 4190, 3140, 4872, 540, 519, 1158, 563, 268, 11595, 540, 3504, 12977, 910, 2342, 729, 519, 4332, 2897, 540, 1896, 2101, 12977, 267, 16113, 910, 12977, 540, 519, 9147, 10255, 543, 4936, 7276, 269, 1284, 616, 1869, 6273, 676, 519, 3504, 5259, 543, 4936, 1148, 267, 741, 5656, 543, 4872, 269, 7324, 519, 1655, 1634, 20375, 616, 3600, 24227, 540, 18603, 543, 23202, 515, 517, 267, 2051, 657, 572, 636, 267, 25048, 701, 4512, 538, 7977, 563, 268, 2776, 18856, 6561, 910, 13946, 1148, 543, 803, 6549, 603, 338, 269, 570, 839, 540, 5215, 1296, 3516, 17417, 2813, 15999, 1148, 910, 1818, 721, 547, 1174, 602, 1004, 1394, 1287, 538, 1346, 11397, 2053, 941, 711, 1447, 9952, 982, 721, 269, 7324, 519, 1655, 1806, 616, 10367, 538, 700, 2444, 14513, 630, 293, 8896, 1070, 5487, 16205, 515, 630, 293, 8896, 1070, 932, 879, 23439, 630, 293, 8896, 1070, 16816, 600, 4275, 630, 8967, 664, 264, 23572, 269, 3864, 803, 6549, 603, 338, 616, 519, 1655, 1634, 538, 519, 1158, 910, 2523, 519, 6264, 803, 6549, 603, 545, 3889, 538, 519, 2136, 8003, 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 ]
[ 5416, 6661, 325, 6357, 1040, 9747, 267, 1934, 5609, 476, 271, 284, 271, 849, 5609, 10780, 284, 271, 269, 634, 2626, 568, 1496, 271, 267, 9948, 780, 11405, 476, 277, 692, 28557, 4781, 281, 630, 320, 2020, 11405, 476, 278, 692, 28557, 4781, 281, 630, 320, 2020, 11405, 476, 279, 692, 11405, 476, 280, 692, 28557, 4781, 281, 630, 323, 2020, 11405, 476, 1015, 692, 28557, 4781, 281, 630, 320, 2020, 11405, 476, 1556, 692, 28557, 4781, 281, 630, 323, 2020, 11405, 476, 272, 692, 11405, 476, 273, 692, 11405, 476, 274, 692, 11405, 476, 275, 692, 11405, 476, 276, 692, 1012, 25873, 5530, 7698, 692, 12749, 704, 13981, 2488, 1900, 8386, 9912, 3435, 585, 1142, 2243, 538, 1142, 3184, 538, 519, 28251, 1744, 12609, 1837, 585, 1362, 476, 280, 269, 7457, 519, 23048, 4147, 476, 280, 9119, 1109, 6637, 476, 1428, 910, 6399, 10025, 11933, 916, 585, 1863, 269, 634, 1837, 2055, 723, 1044, 12193, 676, 938, 1641, 2339, 4966, 547, 948, 596, 1174, 875, 547, 2626, 873, 269, 3776, 1109, 31686, 1744, 12609, 30930, 10298, 1109, 15884, 948, 596, 547, 1353, 543, 23590, 267, 543, 596, 666, 3362, 2312, 707, 17950, 540, 3848, 476, 1428, 910, 6399, 10025, 11933, 916, 780, 258, 7956, 3883, 10298, 692, 290, 18778, 2473, 2862, 3163, 910, 9119, 692, 1012, 901, 1543, 568, 2139, 585, 20401, 539, 3755, 1152, 780, 3036, 692, 24445, 721, 692, 5197, 271, 268, 18891, 268, 4281, 276, 279, 630, 307, 3326, 5131, 264, 547, 3717, 547, 938, 4081, 4274, 563, 3036, 692, 4131, 721, 1205, 538, 5905, 609, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1979, 17190, 267, 1970, 8515, 540, 2504, 454, 763, 2832, 540, 519, 1353, 729, 547, 20272, 519, 2164, 540, 688, 14670, 1670, 543, 23020, 18362, 540, 1973, 538, 16933, 689, 11396, 609, 1970, 556, 2130, 8515, 269, 634, 2164, 540, 1973, 18362, 689, 476, 7906, 16933, 941, 21845, 269, 634, 16933, 12090, 689, 1114, 1507, 11396, 689, 5045, 7532, 851, 540, 6215, 8576, 807, 269, 769, 1973, 5439, 688, 14670, 1670, 543, 1114, 23020, 4632, 941, 6027, 269, 634, 2164, 941, 11117, 3823, 519, 3339, 2418, 585, 12418, 269, 634, 10855, 7194, 543, 6871, 540, 16933, 1821, 11868, 689, 3339, 2418, 585, 11567, 4632, 941, 7229, 269, 634, 1611, 2418, 540, 11567, 4632, 941, 3330, 4704, 8884, 585, 12418, 4849, 519, 6712, 540, 552, 28009, 2684, 2812, 799, 729, 1657, 519, 4704, 1871, 269, 769, 476, 1626, 269, 278, 260, 540, 16933, 688, 655, 18331, 5834, 543, 538, 476, 4029, 269, 271, 260, 688, 14670, 665, 761, 1871, 729, 2630, 519, 4704, 1871, 269, 769, 476, 4649, 269, 277, 260, 540, 16933, 552, 28009, 17232, 807, 729, 23754, 539, 269, 634, 2164, 540, 23020, 6514, 1397, 602, 476, 3393, 269, 273, 260, 540, 16933, 1185, 513, 5834, 540, 2698, 16796, 3940, 267, 476, 2764, 269, 279, 260, 513, 5834, 540, 579, 16699, 543, 476, 3374, 269, 276, 260, 513, 5834, 540, 16796, 4401, 2630, 519, 4704, 1871, 269, 2368, 24017, 941, 4767, 849, 3823, 519, 7777, 4567, 269, 634, 2164, 5815, 20025, 2732, 540, 891, 16933, 543, 538, 1082, 2665, 2009, 23588, 609, 15495, 269, 14568, 1416, 538, 21313, 1852, 543, 513, 1134, 7059, 2732, 1131, 2333, 2504, 538, 971, 31459, 269, 0, 289, 1638, 21129, 2583, 7801, 3817, 585, 3214, 609, 930, 540, 519, 1034, 968, 2254, 823, 762, 892, 5017, 7064, 547, 741, 20034, 720, 269, 3509, 1004, 19451, 569, 1589, 789, 616, 27436, 5017, 269, 1717, 267, 13032, 21129, 2583, 3274, 2408, 2282, 1480, 17743, 902, 6251, 547, 5614, 267, 950, 789, 798, 711, 723, 2614, 1426, 538, 519, 4104, 269, 634, 13032, 21129, 577, 786, 711, 4339, 585, 1426, 267, 865, 621, 5654, 585, 4025, 1141, 972, 616, 513, 2603, 540, 5452, 267, 19512, 267, 9274, 610, 16115, 269, 2290, 540, 519, 5863, 1983, 540, 513, 13032, 21129, 577, 568, 547, 6655, 519, 26107, 543, 9739, 540, 824, 5017, 269, 7179, 543, 2681, 513, 13032, 21129, 577, 585, 707, 6177, 17157, 1148, 4015, 269, 0, 5415, 827, 11875, 29536, 15391, 15838, 454, 292, 961, 29536, 15391, 15838, 20620, 277, 590, 712, 1027, 30365, 454, 8698, 782, 11875, 29536, 15391, 15838, 30365, 454, 25567, 320, 3029, 519, 13074, 543, 2786, 652, 5642, 538, 519, 3618, 781, 22403, 563, 763, 5032, 540, 3703, 12052, 729, 835, 540, 519, 1614, 8783, 7740, 540, 705, 13092, 3013, 563, 13295, 519, 14797, 267, 1498, 7567, 538, 741, 2168, 3210, 547, 2916, 267, 949, 7654, 581, 1114, 538, 741, 2790, 3210, 1317, 789, 723, 14059, 3013, 676, 1114, 10092, 563, 1103, 3013, 519, 1034, 7839, 1826, 540, 4104, 568, 519, 28033, 598, 26448, 28816, 540, 519, 5087, 563, 5804, 1101, 547, 2063, 519, 10340, 540, 3013, 814, 1044, 3808, 909, 609, 922, 2168, 1604, 563, 1103, 1249, 267, 519, 1686, 540, 3345, 3013, 814, 1044, 5310, 811, 25340, 6766, 676, 812, 781, 18472, 689, 1010, 2250, 5321, 982, 676, 519, 2168, 2934, 540, 1010, 1459, 1753, 563, 32621, 540, 519, 1554, 454, 1692, 6126, 568, 519, 1025, 600, 6804, 966, 652, 531, 781, 2603, 256, 634, 1158, 30534, 267, 676, 519, 1158, 29709, 563, 20826, 476, 1626, 267, 476, 6942, 277, 454, 19751, 476, 1704, 267, 476, 3707, 278, 454, 5415, 827, 11875, 29536, 15391, 15838, 2483, 303, 9438, 687, 602, 4769, 1405, 4755, 454, 2252, 621, 781, 593, 519, 5769, 621, 1590, 581, 3020, 454, 7230, 1046, 762, 7831, 9293, 630, 528, 14033, 6441, 770, 9293, 994, 24589, 760, 6276, 13391, 13704, 454, 4131, 527, 807, 10906, 8092, 517, 0, 25332, 5703, 1142, 1032, 593, 519, 476, 1704, 628, 540, 5239, 267, 519, 2136, 8315, 17767, 519, 4139, 4303, 585, 661, 2784, 1709, 540, 24770, 269, 24770, 14122, 811, 982, 1175, 513, 3668, 540, 11327, 2200, 610, 4747, 547, 2327, 4264, 24454, 269, 898, 568, 8537, 540, 1514, 7130, 267, 14000, 267, 22926, 267, 543, 3908, 1569, 547, 2069, 543, 824, 2596, 29319, 269, 4139, 4303, 585, 661, 2784, 1709, 540, 24770, 6799, 606, 4316, 547, 11760, 519, 9620, 540, 1346, 2713, 538, 6710, 563, 763, 1032, 476, 1001, 276, 6592, 602, 5111, 476, 278, 3607, 2929, 1004, 5030, 2630, 519, 3486, 6710, 1899, 540, 2475, 259, 272, 269, 3445, 513, 1554, 269, 769, 513, 1158, 6353, 676, 606, 13778, 1377, 540, 2804, 1646, 267, 519, 1249, 602, 6634, 540, 7606, 616, 2713, 538, 3665, 6710, 568, 513, 5837, 30891, 563, 303, 20191, 538, 2558, 514, 21059, 454, 1103, 2558, 514, 21059, 267, 4961, 616, 7680, 6710, 1813, 547, 3908, 1569, 547, 1072, 1416, 543, 513, 3668, 540, 14312, 1426, 269, 3958, 267, 972, 616, 1082, 2665, 540, 8027, 2152, 543, 606, 9000, 540, 2596, 5989, 269, 769, 1931, 547, 2736, 713, 4783, 540, 896, 31141, 267, 649, 1590, 1491, 2962, 269, 898, 568, 2556, 547, 2697, 1346, 9922, 609, 1761, 585, 2816, 5137, 543, 4264, 1279, 3856, 2208, 563, 8512, 21871, 538, 1970, 13867, 2477, 267, 972, 568, 1419, 513, 20317, 538, 519, 2556, 5759, 547, 3035, 6626, 1646, 3853, 1813, 547, 3908, 2200, 269, 589, 991, 4061, 14340, 267, 799, 5161, 540, 13346, 2200, 543, 3609, 1445, 689, 2757, 9922, 609, 1970, 7607, 543, 2029, 269, 24727, 7393, 2208, 543, 1279, 3856, 7004, 991, 547, 581, 3922, 1242, 563, 763, 6249, 585, 713, 1032, 4025, 1445, 593, 9117, 1927, 547, 3035, 1514, 543, 2825, 5126, 585, 782, 269, 898, 17767, 602, 3025, 1590, 2097, 1927, 547, 1439, 6710, 543, 7130, 269, 594, 917, 713, 786, 1628, 513, 4264, 2104, 269, 2290, 538, 799, 519, 2115, 540, 519, 1459, 616, 1558, 1510, 18731, 519, 2702, 540, 2104, 5481, 547, 2743, 741, 1378, 2115, 269, 1306, 707, 16588, 540, 12057, 267, 594, 11760, 519, 991, 547, 1628, 606, 12581, 1158, 1141, 972, 568, 1514, 5126, 585, 782, 563, 8722, 601, 1863, 547, 3346, 721, 1934, 585, 2859, 6176, 593, 519, 6167, 779, 661, 2784, 1709, 540, 24770, 4303, 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 ]
[ 269, 901, 568, 2523, 3020, 950, 519, 1114, 3523, 2209, 685, 7418, 991, 547, 1628, 17396, 569, 593, 835, 1776, 267, 607, 267, 585, 1383, 267, 950, 1818, 513, 1650, 1927, 269, 901, 1353, 11567, 2436, 8716, 1453, 547, 4497, 538, 4901, 998, 513, 2871, 3660, 5589, 760, 20934, 25398, 7726, 532, 630, 294, 14641, 304, 264, 7097, 15029, 5373, 1927, 5012, 547, 1732, 10319, 9423, 269, 774, 8812, 29350, 476, 277, 1700, 278, 1032, 2025, 1453, 1031, 513, 2780, 1673, 3863, 532, 3498, 1572, 17718, 303, 611, 547, 2995, 10319, 2984, 6462, 676, 7317, 12400, 267, 543, 941, 8036, 538, 519, 717, 14641, 304, 7097, 269, 4635, 513, 1369, 28175, 915, 338, 1374, 267, 621, 729, 3254, 602, 519, 717, 14641, 304, 7097, 15469, 6278, 538, 7317, 4901, 543, 3366, 547, 519, 2504, 540, 21950, 543, 811, 17396, 10319, 2984, 269, 5015, 267, 713, 4324, 729, 1419, 9738, 2899, 519, 8763, 1489, 729, 32585, 269, 1452, 4681, 2303, 602, 519, 717, 14641, 304, 7097, 568, 606, 2500, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25369, 11106, 538, 4065, 257, 607, 851, 540, 834, 3633, 24102, 1315, 23675, 1299, 5303, 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, 898, 729, 513, 6505, 267, 13566, 1554, 950, 10793, 543, 1010, 2370, 11078, 15039, 4956, 547, 2263, 519, 14460, 4070, 3135, 2282, 741, 1753, 269, 1358, 1185, 4862, 32422, 827, 6456, 16782, 12617, 2620, 1369, 519, 6405, 13210, 267, 855, 1018, 789, 2731, 4941, 729, 547, 10625, 930, 4277, 13742, 689, 519, 2250, 780, 2026, 4166, 607, 789, 8452, 267, 789, 8068, 513, 21743, 267, 2025, 15524, 767, 14084, 1985, 547, 513, 1835, 22824, 3774, 269, 19196, 1243, 676, 741, 6602, 267, 10793, 13603, 909, 519, 15524, 767, 543, 3323, 20857, 1472, 519, 1858, 1247, 15039, 6854, 4585, 269, 2991, 3108, 540, 2182, 960, 267, 10793, 6368, 5734, 1945, 4396, 1107, 606, 2025, 267, 19526, 9221, 2439, 257, 299, 1176, 267, 2097, 948, 803, 1930, 713, 10590, 10793, 608, 13094, 267, 3843, 547, 533, 787, 519, 9221, 1930, 609, 519, 9133, 540, 519, 15524, 767, 269, 1809, 1100, 2339, 875, 2182, 646, 6836, 267, 519, 9376, 9327, 1405, 5229, 613, 269, 674, 745, 1598, 730, 267, 10793, 1793, 25428, 519, 15524, 767, 1996, 519, 2666, 856, 540, 10845, 780, 306, 19488, 267, 519, 15524, 767, 2879, 11474, 538, 3368, 267, 13031, 922, 20495, 2783, 18284, 782, 602, 13897, 269, 681, 755, 5536, 16559, 10876, 267, 6028, 3297, 1079, 8035, 762, 4773, 540, 4401, 2264, 780, 257, 17764, 1100, 2437, 26866, 1229, 15039, 267, 3168, 14126, 569, 693, 1200, 7015, 269, 834, 2171, 991, 547, 798, 1945, 1354, 621, 4991, 8338, 15323, 31568, 6743, 1524, 693, 519, 7745, 15524, 767, 543, 7691, 1352, 729, 1318, 269, 1261, 15422, 6217, 1945, 827, 4401, 3615, 17596, 1216, 547, 15309, 267, 865, 646, 3533, 10443, 936, 547, 513, 7404, 5757, 267, 4904, 513, 19943, 609, 4195, 1216, 267, 543, 3459, 11067, 1055, 519, 6967, 15309, 1166, 1389, 689, 519, 15524, 767, 2694, 780, 19602, 267, 15039, 21503, 2228, 875, 547, 5265, 1416, 585, 4401, 2645, 547, 2061, 2417, 3441, 269, 2701, 4362, 1896, 2081, 547, 2149, 873, 689, 7509, 267, 971, 607, 7311, 3282, 610, 31294, 1310, 7738, 267, 5329, 873, 3819, 267, 543, 13936, 873, 16280, 8164, 2009, 780, 29310, 267, 789, 5249, 24091, 547, 32006, 720, 8726, 7283, 540, 519, 2899, 3613, 6324, 344, 1907, 269, 4256, 8990, 6976, 1055, 267, 543, 5555, 267, 789, 7307, 547, 11177, 1034, 540, 922, 10342, 269, 4014, 519, 15524, 767, 1131, 2760, 581, 607, 1434, 607, 1007, 1586, 267, 621, 1869, 6039, 922, 3483, 1134, 2614, 780, 5804, 1287, 593, 267, 10793, 543, 15039, 4121, 3407, 4245, 827, 2921, 1416, 540, 741, 28378, 543, 18245, 824, 1004, 781, 3959, 269, 1358, 1500, 2386, 547, 2141, 2973, 741, 2645, 8499, 267, 4558, 873, 9108, 267, 543, 1685, 2834, 5826, 11974, 269, 1656, 1169, 1631, 543, 1287, 267, 789, 1131, 1413, 1394, 693, 519, 17468, 15524, 767, 16304, 23217, 593, 741, 25880, 3774, 267, 18507, 585, 519, 1995, 602, 6026, 873, 5539, 543, 4199, 6888, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 568, 519, 7508, 1101, 1900, 540, 519, 1739, 1184, 281, 476, 910, 476, 1772, 6534, 547, 2011, 910, 589, 3114, 5114, 4386, 910, 634, 4401, 6238, 547, 12444, 1125, 910, 634, 4401, 6238, 547, 15309, 563, 763, 2626, 547, 713, 2243, 568, 912, 763, 7508, 1101, 1900, 538, 713, 1184, 568, 281, 834, 27860, 2501, 883, 3346, 609, 1216, 610, 7509, 3010, 272, 269, 11635, 2501, 883, 3346, 609, 1216, 610, 7509, 563, 2691, 606, 4401, 1843, 2501, 883, 3346, 609, 1216, 610, 7509, 267, 621, 5932, 519, 2175, 2556, 585, 15309, 547, 1106, 269, 4826, 543, 7509, 4196, 607, 519, 23386, 602, 16881, 519, 1184, 540, 16617, 538, 519, 4527, 540, 2011, 780, 273, 269, 1772, 6534, 547, 2011, 563, 763, 4401, 1843, 2115, 547, 581, 6534, 547, 2011, 267, 799, 3568, 5135, 267, 538, 1931, 585, 519, 3114, 5114, 540, 15309, 5250, 547, 2049, 780, 274, 269, 589, 3114, 5114, 4386, 563, 2691, 519, 4401, 568, 6534, 547, 5135, 267, 513, 3114, 5114, 1572, 16617, 5956, 547, 1491, 1747, 593, 519, 2627, 540, 519, 4496, 269, 8528, 275, 269, 634, 4401, 6238, 547, 12444, 1125, 563, 7628, 519, 3114, 5114, 267, 4401, 8444, 6336, 9211, 543, 6125, 609, 5135, 8444, 267, 799, 536, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 277, 281, 10318, 514, 1218, 910, 1133, 24286, 519, 31981, 540, 4223, 4631, 2439, 5970, 596, 2479, 4862, 540, 513, 19792, 1397, 1141, 519, 5869, 31758, 13655, 676, 2650, 1424, 1927, 10881, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 1831, 3713, 1161, 1932, 267, 855, 3079, 540, 1210, 9416, 21646, 610, 7198, 6898, 267, 649, 3513, 581, 2324, 609, 1945, 1572, 14290, 256, 13018, 267, 649, 3513, 4685, 883, 21876, 1107, 3532, 2645, 6456, 1369, 891, 9589, 14249, 540, 2338, 269, 1924, 10544, 707, 3172, 4328, 4837, 543, 1577, 781, 1205, 3323, 2439, 1262, 1432, 616, 10318, 514, 1218, 15140, 5331, 2348, 513, 2462, 4216, 2407, 540, 9162, 267, 543, 596, 1616, 547, 917, 875, 1082, 9162, 972, 616, 1510, 2965, 6679, 621, 269, 1411, 666, 21199, 519, 4216, 543, 6432, 5402, 547, 7447, 922, 4320, 1759, 593, 3280, 6329, 536, 23395, 1472, 3330, 269, 6684, 267, 950, 5185, 609, 513, 5119, 630, 320, 14328, 11460, 540, 2338, 1070, 513, 24572, 3947, 721, 513, 2631, 540, 922, 2450, 1247, 5329, 3388, 28426, 14095, 2476, 269, 898, 781, 899, 9059, 2439, 288, 24572, 568, 513, 2027, 1297, 2404, 609, 4009, 14290, 630, 3901, 4631, 609, 3160, 9343, 543, 9587, 1040, 1280, 1383, 267, 1934, 781, 513, 2241, 476, 273, 343, 273, 5119, 912, 3499, 322, 1087, 454, 314, 476, 274, 267, 476, 476, 278, 23378, 314, 476, 275, 267, 476, 476, 280, 23378, 8199, 4517, 922, 7222, 24572, 1131, 581, 7229, 607, 5205, 281, 25464, 274, 265, 280, 264, 910, 630, 275, 265, 278, 264, 815, 476, 272, 18269, 3807, 3314, 713, 4542, 585, 1631, 282, 4166, 2614, 267, 649, 3513, 1451, 4443, 2081, 547, 5173, 3677, 21876, 780, 1262, 3963, 9701, 1284, 5516, 6168, 10318, 514, 1218, 15140, 2026, 938, 3972, 344, 2979, 2427, 330, 6506, 267, 21876, 948, 4194, 1949, 540, 5276, 4834, 811, 7561, 982, 824, 2409, 269, 1358, 666, 1256, 2995, 721, 1271, 1344, 827, 519, 5119, 3294, 267, 971, 607, 2436, 621, 4564, 513, 10047, 610, 18440, 7004, 538, 9511, 2439, 4131, 781, 1413, 693, 606, 4277, 3498, 540, 21876, 1634, 607, 15434, 1067, 781, 14329, 269, 14597, 649, 723, 1079, 5276, 4834, 609, 1079, 26968, 985, 1384, 272, 269, 476, 274, 343, 1341, 476, 278, 344, 815, 476, 1428, 454, 273, 269, 476, 275, 343, 1341, 476, 280, 344, 815, 476, 1240, 692, 2171, 1223, 6108, 3108, 3843, 547, 1265, 1535, 543, 586, 16924, 267, 855, 1946, 21898, 950, 649, 4312, 3893, 938, 5728, 14049, 286, 1635, 14335, 513, 5119, 689, 519, 14170, 540, 1535, 543, 586, 267, 12719, 922, 24572, 267, 543, 1287, 7311, 930, 15931, 6354, 2827, 5473, 1016, 323, 9057, 514, 1218, 630, 18484, 1405, 5855, 1765, 933, 4465, 1405, 979, 883, 1469, 1934, 1070, 649, 666, 3533, 3313, 602, 1535, 284, 272, 543, 586, 284, 273, 256, 1215, 3579, 568, 602, 2496, 1262, 15612, 908, 700, 24147, 10318, 514, 1218, 4373, 3086, 602, 649, 1174, 1018, 21876, 616, 543, 1946, 789, 2339, 267, 1577, 781, 10994, 8273, 14290, 269, 1677, 12337, 519, 24572, 540, 513, 476, 274, 343, 274, 5119, 267, 1246, 891, 3268, 1384, 272, 269, 7994, 1022, 4737, 610, 6241, 269, 2913, 781, 2161, 649, 4584, 519, 1101, 835, 912, 3499, 322, 1087, 454, 314, 513, 267, 536, 267, 524, 23378, 314, 546, 267, 552, 267, 535, 23378, 314, 575, 267, 554, 267, 1775, 23378, 8199, 273, 269, 15147, 909, 602, 4737, 270, 26383, 630, 6748, 513, 18241, 24120, 952, 2877, 14386, 543, 5173, 519, 24572, 540, 519, 6967, 476, 273, 343, 273, 5119, 4646, 676, 519, 2609, 10691, 4988, 909, 269, 11910, 713, 1871, 589, 563, 274, 269, 19244, 1900, 476, 273, 585, 1142, 3693, 538, 519, 6074, 4737, 270, 26383, 267, 7384, 1007, 2418, 645, 267, 595, 267, 3092, 1421, 4470, 593, 799, 3693, 729, 1031, 563, 275, 269, 25092, 1142, 540, 1346, 2418, 676, 741, 9757, 15497, 3693, 630, 21639, 2451, 547, 2539, 1318, 2567, 589, 315, 265, 320, 267, 645, 315, 265, 323, 267, 595, 315, 265, 326, 2483, 276, 269, 7053, 267, 2040, 782, 891, 2472, 543, 21350, 10042, 256, 2334, 781, 519, 24572, 2439, 2005, 1522, 3100, 7294, 693, 1101, 16145, 267, 855, 2899, 596, 2259, 513, 1906, 2053, 267, 621, 3587, 2034, 2470, 269, 5457, 267, 1175, 1491, 621, 835, 1900, 693, 513, 942, 543, 1810, 1405, 7340, 547, 5957, 707, 19792, 11058, 2439, 1262, 6962, 4373, 1103, 713, 3184, 267, 649, 20114, 519, 11580, 540, 21876, 543, 4718, 875, 789, 948, 721, 12260, 519, 3020, 1761, 540, 14290, 269, 3245, 21501, 7306, 547, 6061, 1950, 1949, 540, 4834, 267, 891, 2370, 8153, 12325, 1683, 3407, 4030, 543, 4688, 721, 10475, 942, 269, 5901, 8026, 267, 1832, 3695, 267, 543, 1354, 596, 917, 621, 267, 9358, 262, 17247, 581, 513, 4487, 19792, 540, 519, 6310, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 9049, 10621, 568, 513, 4110, 602, 3340, 11050, 267, 12985, 267, 543, 2565, 3206, 269, 6969, 679, 13764, 3811, 10457, 786, 723, 6192, 17440, 538, 519, 1614, 3119, 2127, 267, 17270, 267, 9119, 543, 10803, 543, 17438, 269, 15443, 573, 919, 1058, 849, 4865, 606, 19038, 3363, 543, 14031, 585, 11050, 15129, 17440, 543, 11678, 269, 1452, 6030, 949, 581, 3144, 607, 606, 15938, 610, 10927, 267, 610, 789, 949, 581, 3144, 607, 10137, 6030, 1312, 15839, 543, 27341, 543, 593, 11060, 3292, 269, 7490, 1294, 519, 2035, 267, 2059, 609, 930, 2228, 1576, 10372, 563, 2690, 1022, 2055, 827, 1808, 1576, 960, 5225, 6494, 31286, 610, 2055, 547, 281, 18078, 17106, 11333, 3820, 563, 268, 14362, 543, 946, 540, 5752, 543, 1966, 6061, 269, 9978, 1702, 540, 681, 610, 4223, 18350, 563, 268, 4197, 540, 1239, 3889, 267, 4054, 267, 10478, 267, 18570, 267, 814, 3107, 563, 268, 6732, 1576, 19583, 454, 268, 27018, 20145, 281, 12793, 267, 7182, 267, 15364, 267, 16755, 269, 7756, 2747, 540, 15821, 543, 16637, 1581, 3252, 563, 268, 2271, 324, 3010, 2237, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 729, 1101, 3370, 538, 4728, 476, 8146, 271, 676, 9478, 8055, 607, 634, 3883, 540, 30963, 281, 1323, 10055, 18838, 676, 519, 7435, 540, 30963, 2390, 1773, 919, 570, 2586, 689, 519, 1773, 919, 540, 13605, 6062, 269, 634, 3883, 540, 30963, 568, 835, 540, 519, 9998, 543, 1034, 1134, 1634, 2189, 12591, 540, 519, 700, 2660, 4303, 12142, 3350, 269, 634, 29559, 540, 519, 700, 2660, 4303, 12142, 3350, 3335, 2543, 519, 1257, 5097, 607, 27403, 630, 27271, 607, 835, 540, 2185, 3044, 1568, 264, 543, 2034, 3320, 607, 513, 2594, 540, 2696, 781, 4308, 902, 609, 3504, 11317, 540, 519, 17113, 269, 634, 5354, 540, 700, 2660, 4303, 29513, 3494, 519, 1433, 547, 581, 513, 2594, 540, 1483, 8996, 1686, 267, 609, 700, 3430, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 345, 2131, 1408, 781, 17496, 776, 28613, 257, 607, 851, 540, 834, 32628, 1315, 19978, 19410, 776, 1315, 6196, 11620, 1315, 11330, 515, 1206, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 1215, 18831, 7827, 910, 634, 7151, 540, 5398, 7896, 538, 2342, 692, 5331, 596, 2661, 538, 513, 2197, 1141, 3388, 689, 13875, 6765, 547, 5721, 2951, 568, 6417, 676, 519, 2229, 269, 901, 729, 2899, 1455, 538, 1082, 2694, 540, 2342, 256, 1809, 607, 2477, 7960, 543, 4957, 267, 865, 1705, 741, 4485, 547, 1919, 899, 6283, 543, 20848, 269, 2913, 781, 2263, 875, 713, 5949, 543, 1946, 621, 6927, 780, 1103, 519, 2250, 267, 6608, 5156, 789, 1223, 4383, 1978, 2533, 1732, 982, 4357, 3549, 269, 1452, 941, 1572, 834, 21504, 2533, 257, 1317, 789, 6039, 519, 3003, 2551, 269, 6201, 3769, 7841, 1811, 267, 29032, 267, 1648, 2504, 267, 543, 2022, 13646, 269, 22749, 1419, 11262, 891, 4213, 30739, 543, 7307, 873, 998, 2027, 8041, 780, 4913, 267, 936, 942, 267, 8456, 2509, 891, 1857, 2533, 3459, 547, 6521, 269, 2368, 1004, 5433, 602, 519, 2229, 7012, 1405, 2141, 519, 1655, 693, 4881, 891, 3906, 269, 1358, 11130, 602, 10962, 6735, 1131, 1291, 547, 4824, 4398, 543, 2298, 269, 901, 2856, 3357, 547, 581, 1634, 607, 683, 565, 28515, 1143, 1107, 513, 3661, 602, 1863, 6990, 666, 4194, 1082, 1514, 2042, 780, 1607, 6770, 721, 547, 519, 3864, 5742, 630, 31323, 1070, 799, 4249, 513, 1713, 1909, 538, 5935, 4507, 2066, 922, 4759, 6082, 269, 1306, 851, 540, 5009, 2804, 2208, 543, 28211, 267, 519, 9167, 9415, 922, 2818, 547, 1930, 909, 741, 1857, 2533, 547, 2344, 4229, 269, 3509, 3864, 2477, 3323, 9513, 1055, 8843, 538, 15597, 24804, 3549, 610, 3850, 4357, 10909, 547, 14526, 609, 2757, 1857, 2533, 780, 2690, 3236, 267, 1589, 827, 707, 2199, 1668, 1062, 269, 1403, 1152, 835, 2754, 13333, 782, 519, 11507, 267, 972, 1522, 711, 581, 1454, 24539, 585, 873, 547, 2087, 3028, 610, 2539, 5777, 269, 1717, 267, 952, 2789, 3549, 2709, 12721, 3515, 267, 1142, 949, 2119, 9875, 547, 4482, 5561, 676, 3246, 9120, 3028, 610, 4389, 3655, 637, 269, 2334, 781, 1018, 28288, 540, 683, 565, 28515, 1143, 4126, 786, 4755, 950, 1857, 2533, 3068, 6735, 780, 3719, 5912, 3884, 1405, 2653, 269, 1879, 2242, 2049, 267, 9840, 8451, 3823, 2816, 3354, 267, 6075, 3790, 267, 543, 1256, 3084, 3961, 269, 1280, 1383, 267, 4952, 952, 707, 554, 32528, 19633, 2968, 27352, 11262, 282, 1279, 5503, 5520, 1522, 5855, 827, 2482, 26160, 1247, 15915, 31361, 827, 19044, 3902, 554, 10105, 269, 5047, 267, 2094, 1169, 4182, 2418, 922, 2189, 2528, 267, 19249, 19644, 5238, 899, 519, 2022, 5604, 610, 3084, 16749, 666, 1745, 17116, 780, 3383, 267, 1281, 713, 1611, 602, 519, 2085, 540, 2229, 24507, 1857, 2533, 568, 936, 286, 3502, 8209, 269, 3962, 2197, 16976, 875, 2484, 547, 1491, 12666, 1436, 1759, 593, 922, 1378, 2115, 543, 7375, 269, 4634, 1369, 519, 9167, 267, 1114, 2477, 723, 7550, 8795, 5232, 540, 3051, 26494, 269, 11086, 267, 1620, 891, 1950, 2152, 3340, 3168, 3564, 2241, 10297, 899, 1412, 326, 17922, 1852, 262, 8957, 1412, 16451, 2344, 9538, 5502, 267, 649, 991, 547, 4983, 519, 13857, 2081, 538, 799, 2477, 3666, 891, 3741, 2687, 547, 741, 1808, 8658, 780, 9961, 1686, 267, 7239, 723, 16111, 9927, 2933, 269, 1635, 6313, 971, 10593, 538, 3609, 267, 2523, 1346, 5473, 1945, 607, 1898, 607, 1857, 2533, 267, 649, 2744, 3407, 4030, 883, 875, 6082, 11457, 543, 3082, 269, 1656, 3314, 267, 1175, 607, 1100, 1079, 2043, 616, 7567, 267, 1100, 1079, 6082, 1246, 9838, 10092, 269, 16871, 4763, 543, 4720, 6013, 693, 519, 2295, 540, 2178, 3486, 1894, 1851, 4830, 267, 1582, 3766, 1478, 940, 9988, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 272, 31549, 3864, 5610, 2322, 606, 1439, 547, 3864, 2829, 685, 546, 597, 580, 1143, 324, 286, 12984, 29761, 519, 3135, 540, 519, 6433, 540, 835, 540, 519, 3943, 1533, 779, 1390, 968, 5586, 527, 30093, 14868, 892, 2433, 519, 10206, 540, 1857, 3028, 286, 634, 2243, 14340, 1586, 543, 1586, 538, 1022, 2797, 7521, 1472, 519, 3051, 26494, 540, 968, 21504, 3028, 892, 16904, 269, 634, 2487, 27900, 1472, 519, 3051, 26494, 540, 589, 2946, 549, 7964, 632, 8303, 543, 1621, 773, 630, 845, 28861, 717, 5263, 4149, 22222, 264, 543, 540, 519, 968, 2908, 16749, 533, 716, 892, 602, 6963, 539, 519, 590, 10998, 293, 616, 2943, 811, 1806, 281, 1022, 942, 4567, 525, 1689, 267, 7221, 616, 4421, 1055, 267, 610, 1857, 16904, 899, 661, 5263, 267, 5487, 5403, 324, 267, 590, 10998, 293, 267, 5794, 5333, 267, 610, 519, 5449, 717, 5263, 543, 5333, 570, 2946, 331, 2946, 1260, 616, 8118, 909, 547, 6735, 267, 649, 616, 3144, 1394, 547, 519, 2797, 543, 3656, 15784, 1472, 519, 3864, 5072, 540, 519, 968, 928, 565, 28515, 2490, 3034, 273, 2005, 1590, 581, 1767, 602, 1082, 3621, 1568, 723, 2016, 2597, 547, 519, 2856, 602, 3864, 5610, 814, 1185, 606, 3310, 593, 519, 18765, 540, 968, 21504, 3028, 892, 543, 968, 21504, 13055, 1848, 2755, 930, 3656, 5640, 8044, 602, 519, 2342, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 4139, 9534, 1315, 4937, 1315, 13780, 5174, 5648, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 834, 303, 6269, 4479, 15907, 519, 2622, 281, 634, 18903, 540, 5545, 645, 684, 21531, 340, 5016, 7072, 912, 5970, 596, 2479, 2938, 513, 12470, 564, 1397, 286, 898, 781, 5863, 875, 891, 2241, 11308, 5515, 666, 2097, 9800, 593, 3942, 256, 4653, 649, 786, 2263, 513, 2189, 1826, 540, 12470, 4479, 602, 814, 922, 5072, 2620, 538, 5545, 1686, 543, 2528, 910, 645, 684, 21531, 340, 269, 901, 3504, 1148, 1106, 10905, 4190, 2575, 267, 9159, 9423, 267, 543, 6946, 12470, 4479, 1983, 899, 1100, 824, 269, 1924, 10544, 707, 16295, 543, 1205, 4712, 585, 606, 6909, 3460, 883, 519, 1158, 540, 536, 684, 21531, 340, 2439, 4089, 476, 272, 281, 1548, 568, 645, 684, 21531, 340, 888, 289, 684, 21531, 340, 568, 513, 2757, 2511, 540, 5545, 12470, 4479, 602, 7389, 1394, 547, 519, 3735, 476, 1704, 628, 2540, 269, 9521, 930, 2010, 540, 12470, 4479, 1141, 1175, 835, 1268, 13333, 519, 3003, 12470, 564, 267, 536, 684, 21531, 340, 3340, 16542, 1851, 1896, 9952, 5159, 269, 3962, 12470, 564, 568, 17411, 676, 1614, 12470, 23176, 619, 21039, 538, 3109, 9660, 945, 960, 1927, 16900, 547, 1711, 3076, 601, 833, 5322, 269, 2290, 1268, 8060, 519, 2212, 543, 1318, 6186, 267, 1776, 21314, 519, 2451, 6186, 267, 1247, 519, 3791, 6354, 12885, 519, 7953, 269, 8625, 789, 13236, 1272, 883, 519, 3197, 789, 9446, 267, 3850, 873, 547, 2995, 8903, 2984, 998, 3350, 543, 4082, 780, 4089, 476, 273, 281, 634, 20551, 19992, 519, 2480, 25333, 454, 4407, 621, 949, 3100, 899, 9059, 8384, 519, 12470, 1115, 1847, 30780, 2066, 519, 3942, 267, 972, 616, 1483, 1004, 3297, 1346, 13556, 8188, 1818, 3388, 2009, 269, 14755, 519, 12470, 23176, 619, 267, 1079, 3606, 5159, 1404, 4105, 5107, 1282, 1169, 2773, 1107, 519, 15669, 630, 528, 512, 599, 340, 264, 543, 519, 22459, 4730, 519, 695, 600, 17470, 267, 513, 2757, 5545, 5569, 6293, 269, 1452, 16805, 2043, 946, 741, 9739, 543, 7405, 6606, 547, 1683, 2796, 267, 7553, 267, 543, 11733, 547, 3986, 519, 2949, 1995, 780, 4089, 476, 274, 281, 3245, 32425, 547, 25088, 454, 3086, 1577, 781, 2743, 2576, 2027, 945, 6131, 1010, 1272, 547, 13215, 713, 9058, 4739, 269, 3571, 2012, 568, 9410, 4591, 2006, 267, 543, 4352, 646, 7012, 1405, 4535, 538, 3567, 267, 646, 8593, 538, 2648, 609, 536, 684, 21531, 340, 607, 513, 1126, 269, 2991, 1082, 1296, 540, 2182, 960, 543, 2866, 267, 646, 1500, 1686, 676, 4742, 519, 1360, 1101, 4914, 518, 547, 1451, 543, 1685, 24015, 538, 519, 536, 684, 21531, 340, 2511, 269, 1261, 1631, 2729, 538, 15480, 2313, 9874, 267, 513, 2749, 12021, 585, 922, 3638, 12470, 4479, 6561, 267, 11173, 547, 2671, 1010, 6612, 585, 713, 7415, 1148, 1106, 1312, 1369, 3567, 543, 1472, 519, 8608, 780, 6962, 912, 9961, 1686, 267, 12470, 4479, 814, 1044, 1031, 607, 513, 3532, 1907, 585, 9913, 543, 2069, 269, 2060, 922, 1950, 25287, 2762, 267, 22192, 9117, 267, 543, 22539, 7574, 9311, 2939, 267, 536, 684, 21531, 340, 6763, 856, 607, 835, 540, 519, 1034, 30811, 3029, 540, 12470, 4479, 5001, 269, 1284, 4126, 602, 1565, 827, 713, 4241, 2686, 14951, 26182, 596, 547, 3605, 1007, 2081, 547, 5660, 519, 6575, 543, 5310, 1256, 8141, 606, 1719, 538, 3695, 1114, 4529, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 32354, 4591, 2006, 281, 589, 22082, 538, 3567, 781, 12470, 564, 14364, 2245, 454, 288, 15480, 2313, 9874, 2245, 281, 28523, 564, 17621, 9410, 4591, 2006, 3081, 835, 540, 1010, 5172, 3344, 540, 7900, 568, 950, 1010, 12470, 1115, 1685, 17794, 23929, 267, 9247, 609, 12470, 1115, 540, 741, 1378, 269, 1923, 744, 300, 2752, 595, 4456, 3722, 9816, 454, 32354, 4591, 2006, 779, 1719, 538, 12470, 4479, 3323, 2038, 538, 1272, 563, 14881, 4076, 6068, 12470, 564, 14364, 540, 782, 5686, 2094, 594, 729, 513, 1126, 2223, 646, 31061, 269, 968, 763, 1101, 3364, 594, 666, 3314, 6998, 13244, 1849, 9476, 547, 3142, 547, 803, 585, 8285, 729, 513, 2261, 542, 8291, 3034, 28012, 1705, 646, 917, 693, 519, 942, 1010, 6612, 585, 12470, 1115, 1131, 1291, 1864, 547, 1831, 519, 1101, 1875, 11219, 17702, 547, 5721, 543, 1685, 538, 3567, 607, 513, 2757, 12470, 564, 17621, 538, 519, 2511, 1634, 607, 562, 532, 344, 16230, 795, 16230, 337, 19441, 267, 799, 18922, 607, 513, 968, 323, 1090, 1738, 2239, 609, 31119, 9706, 6269, 1115, 3034, 1103, 713, 2511, 267, 1142, 12470, 564, 568, 13234, 676, 1614, 1004, 543, 12644, 1331, 513, 15669, 543, 695, 600, 17470, 6345, 269, 634, 1148, 1106, 2663, 2968, 811, 2442, 569, 1634, 607, 968, 321, 684, 21531, 340, 3034, 5475, 1427, 3931, 689, 513, 4876, 538, 24243, 267, 4591, 2006, 267, 476, 8287, 267, 6410, 547, 519, 2749, 540, 15480, 2313, 9874, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 13898, 1315, 9210, 626, 655, 1108, 910, 2902, 16117, 5288, 269, 24498, 1143, 692, 5331, 596, 4312, 1175, 4607, 513, 1007, 17919, 256, 1411, 666, 1405, 7227, 547, 11878, 621, 1472, 707, 8378, 543, 1397, 782, 707, 2828, 875, 3728, 543, 5347, 621, 4422, 269, 1809, 1354, 596, 1376, 14964, 267, 972, 781, 835, 1271, 3375, 547, 1118, 1107, 798, 596, 1616, 547, 946, 2866, 14743, 610, 979, 2786, 547, 14964, 1510, 873, 2496, 1607, 3510, 1522, 7618, 596, 540, 1776, 7521, 649, 786, 2263, 2221, 1572, 4835, 1143, 8957, 5007, 1143, 269, 1452, 1079, 10952, 2035, 4308, 609, 2436, 938, 4978, 991, 1945, 3330, 721, 630, 3697, 2866, 14743, 264, 547, 1118, 1346, 4978, 20582, 267, 610, 952, 789, 7048, 811, 593, 2188, 3544, 6000, 269, 2913, 781, 4685, 4514, 883, 891, 2474, 2439, 1262, 2562, 9898, 2793, 299, 26113, 16001, 5331, 3054, 1210, 1346, 2866, 14743, 282, 789, 948, 1832, 707, 11332, 11931, 1247, 1565, 547, 3666, 543, 29465, 693, 519, 1482, 942, 269, 6684, 267, 4835, 1235, 3494, 602, 1018, 2306, 938, 4978, 20582, 2501, 689, 1369, 6000, 269, 1284, 1590, 723, 2963, 267, 4128, 267, 610, 2833, 602, 1489, 938, 3661, 585, 621, 547, 581, 2808, 20582, 269, 1280, 3236, 267, 950, 596, 2161, 267, 834, 763, 6607, 568, 4544, 2437, 707, 24134, 1223, 2097, 689, 11287, 519, 2681, 1282, 1114, 2053, 540, 1554, 610, 19551, 922, 5920, 689, 3105, 2395, 780, 265, 7078, 17041, 14597, 596, 1589, 707, 1655, 3659, 6410, 2476, 1317, 1352, 4769, 1406, 899, 2713, 538, 707, 4884, 15042, 269, 1323, 4835, 626, 1131, 8044, 602, 707, 3661, 568, 20582, 1759, 593, 1919, 899, 7391, 596, 1185, 609, 1200, 827, 4743, 5321, 1157, 267, 8292, 1500, 676, 1866, 827, 1200, 27025, 8351, 609, 1978, 3344, 540, 519, 4884, 267, 3092, 780, 1262, 13052, 9898, 2793, 299, 26113, 16001, 3086, 1577, 781, 2015, 546, 26677, 519, 2866, 14743, 15587, 269, 2755, 17559, 7620, 267, 2899, 27058, 267, 31610, 3587, 1454, 4443, 1510, 1022, 3063, 3937, 23646, 596, 1524, 269, 19452, 267, 5007, 1235, 3409, 602, 2188, 3564, 938, 1852, 3565, 3648, 2509, 1818, 938, 4978, 20582, 269, 1358, 1445, 593, 2609, 971, 607, 10727, 267, 1757, 1275, 267, 610, 2825, 2175, 2864, 982, 9003, 13461, 593, 2123, 26126, 780, 265, 7078, 17041, 1403, 2576, 12134, 1946, 596, 3494, 602, 1216, 844, 523, 2583, 19818, 267, 606, 5007, 626, 1522, 1448, 856, 602, 1169, 2582, 942, 3425, 4235, 1216, 267, 741, 19818, 4991, 13854, 269, 3683, 5215, 540, 1296, 267, 1004, 723, 4362, 998, 1995, 602, 6704, 1216, 2337, 609, 18024, 269, 1924, 1256, 1498, 596, 13948, 10093, 1405, 7318, 713, 3069, 9118, 2053, 267, 596, 1869, 3972, 621, 1813, 547, 922, 3950, 2594, 540, 1967, 2429, 1686, 780, 3383, 267, 945, 17993, 519, 7521, 1063, 4835, 1143, 543, 5007, 1143, 286, 4270, 267, 1312, 5380, 2709, 3407, 4030, 855, 11168, 1114, 3334, 540, 3661, 5250, 269, 3807, 899, 7446, 1063, 2866, 14743, 610, 1100, 2866, 14743, 5673, 593, 1367, 6381, 267, 14045, 1063, 4835, 1143, 543, 5007, 1143, 1419, 12346, 2390, 1808, 7653, 1932, 269, 4197, 891, 16082, 2636, 721, 547, 5660, 1585, 2081, 1480, 7919, 12446, 693, 20582, 4978, 267, 7393, 938, 2949, 2565, 3206, 1983, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 582, 908, 29137, 1119, 637, 281, 19149, 908, 1063, 519, 1119, 516, 543, 7387, 454, 310, 531, 614, 2983, 321, 28496, 267, 29928, 18741, 333, 7896, 267, 7330, 11828, 519, 6138, 540, 19149, 908, 1063, 519, 1119, 516, 543, 29137, 7387, 563, 263, 11847, 11781, 539, 689, 2622, 24533, 267, 5412, 12467, 2414, 19149, 622, 610, 711, 547, 19149, 622, 286, 634, 1858, 896, 4901, 568, 519, 20282, 2627, 1063, 519, 16004, 540, 513, 4955, 7992, 29137, 1119, 516, 543, 519, 7387, 610, 7387, 13063, 602, 519, 1119, 516, 18795, 593, 269, 901, 3390, 814, 1044, 11786, 585, 930, 1296, 1631, 269, 1677, 581, 9985, 2312, 267, 713, 4901, 1281, 711, 4125, 519, 19149, 566, 540, 519, 12902, 2627, 540, 519, 1119, 516, 269, 901, 2627, 799, 17066, 519, 3068, 540, 519, 5066, 619, 267, 1058, 1152, 1294, 3819, 27948, 607, 513, 19149, 656, 543, 568, 513, 5094, 3390, 269, 4014, 19149, 908, 519, 1119, 516, 16004, 949, 3100, 547, 581, 513, 2067, 10421, 540, 1434, 27414, 29137, 5106, 267, 930, 4966, 538, 519, 2872, 18973, 1996, 621, 269, 4256, 2013, 568, 4843, 609, 519, 2376, 676, 6004, 269, 7917, 623, 269, 28331, 2006, 269, 3571, 7440, 616, 602, 513, 968, 26572, 848, 892, 1826, 19149, 656, 24643, 7452, 543, 824, 11935, 799, 6411, 607, 513, 8860, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1103, 4156, 1143, 5288, 269, 24498, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 9210, 626, 655, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 6189, 543, 875, 1367, 16413, 723, 2451, 741, 1665, 593, 1686, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 513, 4241, 1523, 1572, 834, 27287, 1234, 4003, 543, 22684, 1701, 5620, 596, 2479, 4862, 827, 513, 4583, 2679, 610, 4056, 543, 9289, 1018, 2306, 873, 865, 2027, 286, 2334, 781, 1141, 2565, 21200, 2501, 538, 1107, 621, 781, 782, 827, 875, 1004, 2746, 547, 543, 2911, 827, 513, 2679, 950, 789, 1101, 1294, 621, 543, 936, 942, 269, 1656, 9371, 4016, 547, 519, 1279, 3856, 1764, 543, 3310, 1346, 5656, 543, 16413, 3136, 547, 723, 1256, 1310, 789, 4312, 1044, 3710, 269, 2913, 781, 2638, 856, 930, 4277, 1806, 1927, 2439, 5331, 1373, 606, 9813, 9683, 3047, 585, 519, 1360, 1101, 942, 543, 31986, 1079, 2189, 3889, 281, 835, 568, 519, 3504, 24911, 1749, 540, 5527, 267, 1247, 519, 824, 568, 519, 2413, 8738, 329, 10609, 531, 604, 320, 538, 29903, 269, 4634, 1498, 891, 5656, 941, 9112, 5215, 540, 1296, 6306, 267, 789, 1142, 4607, 6909, 2565, 21200, 543, 1869, 4734, 9434, 23543, 2221, 780, 763, 24911, 1749, 540, 5527, 267, 3710, 1472, 476, 275, 267, 4335, 1296, 3516, 267, 616, 14952, 539, 693, 1317, 540, 741, 7372, 2450, 267, 6946, 1374, 267, 543, 5863, 569, 4977, 12972, 609, 18477, 4703, 899, 6801, 269, 2311, 519, 942, 267, 14335, 971, 11141, 26829, 729, 3592, 7543, 1510, 4359, 2029, 267, 799, 1500, 1004, 4898, 827, 519, 943, 21198, 338, 685, 1379, 543, 27265, 269, 1677, 713, 1554, 267, 8436, 689, 782, 936, 519, 1158, 2951, 1390, 9883, 1175, 547, 7198, 891, 3140, 13300, 909, 2673, 269, 2052, 596, 4952, 2348, 513, 1404, 11845, 693, 2576, 781, 2777, 4171, 18147, 814, 513, 2070, 540, 513, 18158, 26834, 26272, 2439, 3086, 1577, 781, 3728, 4464, 547, 519, 1032, 476, 1001, 271, 950, 519, 8738, 329, 10609, 531, 604, 320, 2968, 519, 32399, 2679, 538, 519, 1158, 256, 30557, 693, 5111, 476, 279, 1789, 7397, 630, 528, 476, 273, 267, 278, 2420, 3952, 264, 7381, 267, 26339, 982, 476, 1220, 1977, 11176, 4610, 9788, 1439, 3562, 15134, 267, 922, 4463, 4805, 12236, 5001, 25621, 269, 4658, 7948, 1405, 3494, 3425, 1223, 1628, 1945, 865, 11212, 1164, 256, 19296, 1185, 547, 2097, 909, 609, 1007, 2326, 543, 2553, 547, 2327, 519, 2497, 1131, 3251, 2178, 1282, 2842, 344, 2395, 543, 5706, 16767, 269, 5994, 16246, 547, 519, 1283, 540, 602, 1236, 903, 28755, 704, 585, 707, 1985, 1920, 7045, 256, 1215, 3579, 1131, 602, 581, 2496, 3383, 1946, 798, 649, 1416, 827, 2565, 21200, 543, 9371, 286, 4270, 267, 1620, 875, 1004, 14437, 827, 891, 11599, 5656, 2337, 721, 5660, 741, 2956, 1732, 269, 898, 849, 3947, 721, 5813, 883, 519, 7239, 602, 2813, 873, 269, 1280, 3236, 267, 519, 26829, 7866, 1344, 827, 9147, 12266, 4978, 4478, 2669, 543, 24446, 269, 11531, 267, 519, 4070, 540, 2706, 339, 718, 20610, 899, 519, 8738, 329, 10609, 531, 604, 320, 20502, 1480, 5647, 543, 3356, 780, 2080, 781, 1776, 1259, 547, 1589, 827, 621, 281, 1879, 596, 1711, 1945, 9735, 267, 2436, 621, 781, 513, 5373, 267, 513, 1650, 267, 610, 513, 2257, 1788, 267, 596, 4126, 1866, 2972, 543, 1451, 689, 621, 1932, 269, 6684, 267, 16413, 1616, 741, 13144, 547, 8300, 2104, 5481, 543, 3565, 9797, 547, 2486, 269, 1924, 267, 3314, 267, 1169, 2370, 3364, 596, 960, 2182, 593, 666, 4734, 513, 1713, 12705, 543, 1831, 707, 1360, 1378, 9371, 2439, 2026, 596, 3460, 998, 1272, 267, 1832, 606, 3750, 856, 585, 7415, 5656, 543, 2307, 3054, 2055, 899, 281, 1548, 1281, 713, 1747, 2995, 803, 827, 519, 2146, 602, 3710, 621, 286, 4208, 1705, 1004, 1265, 621, 865, 9159, 1287, 543, 1631, 286, 1452, 18759, 948, 11349, 7279, 543, 7071, 585, 519, 3309, 1158, 649, 2661, 538, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24375, 940, 519, 4444, 590, 2454, 10649, 540, 3615, 543, 519, 8561, 540, 2797, 2671, 267, 519, 2132, 11828, 519, 2376, 540, 1455, 4928, 593, 6464, 543, 10781, 1063, 1053, 267, 3681, 267, 17758, 267, 543, 2474, 543, 519, 2453, 593, 6982, 3745, 2861, 2984, 543, 6119, 269, 634, 19496, 540, 20161, 543, 1383, 5525, 267, 8126, 1194, 543, 1808, 6835, 267, 543, 568, 585, 1880, 543, 2487, 3406, 616, 1134, 8149, 269, 476, 271, 4375, 282, 4612, 633, 4444, 540, 1312, 20474, 3803, 5121, 543, 1101, 3871, 3908, 676, 546, 327, 3298, 543, 5121, 786, 1860, 3803, 851, 547, 519, 21272, 602, 1082, 2376, 2982, 3238, 3308, 267, 1378, 267, 543, 1514, 32308, 543, 8155, 2429, 519, 1382, 269, 1323, 5234, 547, 519, 1576, 267, 519, 20850, 3296, 540, 1354, 16662, 3485, 1043, 543, 6281, 5493, 2801, 7240, 512, 3711, 2946, 17476, 269, 901, 4444, 590, 2454, 10649, 2433, 689, 4831, 322, 11857, 547, 568, 606, 22634, 547, 519, 2262, 543, 678, 332, 8658, 540, 519, 1514, 1114, 8313, 269, 607, 13741, 574, 540, 3760, 7589, 267, 5251, 267, 543, 8470, 829, 341, 1228, 3908, 543, 9717, 538, 1196, 269, 4444, 590, 2454, 10649, 26841, 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, 1234, 4003, 543, 22684, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 10572, 11629, 338, 1299, 674, 8787, 1315, 10749, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 513, 8058, 17380, 4771, 631, 1550, 1889, 520, 26629, 27837, 676, 27748, 545, 15829, 31777, 1218, 692, 3721, 476, 272, 281, 3194, 27748, 545, 15829, 667, 17143, 338, 454, 28716, 4583, 15829, 14060, 262, 7270, 610, 1931, 741, 3434, 9248, 547, 2263, 2189, 23538, 593, 5929, 28916, 269, 1280, 1295, 576, 1889, 520, 2650, 6667, 267, 1413, 883, 552, 831, 625, 1634, 585, 5499, 4829, 8286, 543, 533, 625, 267, 899, 1290, 1889, 6970, 543, 8262, 17491, 780, 3721, 476, 273, 281, 20283, 23123, 454, 8624, 937, 5820, 585, 1312, 12933, 543, 11423, 269, 1280, 519, 12933, 267, 9192, 7912, 267, 4006, 267, 6070, 267, 7423, 267, 2110, 2287, 267, 16693, 267, 543, 4672, 1216, 269, 1280, 519, 1295, 576, 1889, 520, 11423, 267, 5965, 13212, 267, 986, 529, 1231, 267, 1225, 7847, 267, 6404, 4796, 1221, 22019, 267, 647, 564, 267, 6960, 4006, 267, 24036, 267, 2428, 332, 1122, 267, 804, 7174, 267, 10538, 1990, 652, 267, 11993, 1990, 652, 267, 6216, 344, 267, 543, 11945, 10433, 780, 3721, 476, 274, 281, 16259, 595, 6412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 3347, 1063, 519, 2504, 267, 10655, 543, 4159, 540, 1148, 538, 519, 22733, 543, 2038, 13524, 5553, 563, 25456, 28924, 16086, 630, 20428, 547, 1689, 2187, 309, 14513, 327, 718, 25052, 543, 824, 27109, 5624, 454, 763, 5980, 540, 20551, 454, 9209, 1235, 693, 5851, 454, 763, 9576, 9142, 454, 19741, 519, 17241, 281, 27109, 1148, 538, 519, 476, 9965, 271, 338, 543, 476, 3445, 338, 454, 763, 16450, 540, 1148, 281, 15196, 323, 749, 781, 9956, 20155, 543, 2871, 843, 327, 718, 14635, 454, 306, 1529, 20567, 593, 4159, 454, 763, 5748, 540, 519, 2817, 20155, 454, 272, 1535, 476, 276, 267, 1822, 2262, 12290, 1557, 0, 296, 1705, 513, 2370, 1382, 543, 594, 1336, 856, 875, 546, 13023, 750, 807, 5540, 922, 9601, 1862, 630, 1607, 568, 1250, 1101, 2376, 593, 519, 3135, 267, 5225, 2285, 707, 8292, 26695, 291, 13023, 750, 807, 568, 606, 8650, 3968, 540, 519, 11563, 543, 9224, 799, 949, 6961, 14603, 952, 15860, 267, 610, 952, 2126, 568, 16607, 563, 27246, 281, 667, 13023, 750, 807, 568, 3361, 676, 513, 536, 26808, 267, 519, 524, 800, 928, 321, 1461, 1756, 546, 13023, 750, 23706, 269, 898, 7472, 3532, 13802, 799, 4323, 519, 29935, 17011, 540, 519, 11563, 543, 9224, 543, 267, 952, 1100, 4550, 3562, 343, 514, 568, 13950, 267, 519, 2295, 267, 8401, 1062, 543, 14401, 269, 667, 13023, 750, 807, 568, 2356, 26438, 676, 3346, 609, 543, 7783, 1268, 945, 19082, 519, 4551, 950, 23472, 610, 32125, 563, 21618, 281, 2991, 513, 5618, 17861, 320, 542, 1974, 8151, 689, 1079, 2395, 547, 513, 3018, 267, 519, 3461, 10953, 513, 7646, 15319, 11563, 543, 8611, 267, 7959, 4617, 543, 3622, 2192, 269, 589, 2571, 9245, 3029, 936, 519, 4299, 8031, 269, 634, 11563, 3587, 11213, 2073, 2523, 538, 24948, 543, 7244, 267, 543, 519, 9726, 15374, 693, 519, 2427, 540, 519, 8405, 2220, 749, 14320, 267, 4758, 4473, 547, 513, 2783, 1634, 607, 1412, 321, 1638, 8405, 23823, 291, 9734, 281, 634, 2208, 540, 519, 9245, 949, 10556, 7244, 543, 513, 30439, 30315, 267, 606, 5106, 799, 10741, 519, 28296, 267, 949, 723, 547, 581, 5340, 593, 513, 3461, 547, 1450, 1864, 547, 13236, 269, 1403, 519, 3968, 568, 711, 5701, 24847, 267, 621, 786, 2253, 547, 3262, 269, 634, 10265, 3587, 1612, 3315, 7458, 267, 4553, 676, 519, 4064, 267, 519, 943, 28449, 543, 6368, 519, 17873, 543, 17657, 269, 589, 7372, 4323, 666, 6146, 1369, 1614, 2395, 267, 855, 513, 1793, 7660, 4323, 949, 1491, 909, 547, 1614, 4374, 547, 2014, 2295, 5821, 563, 21675, 281, 11233, 2126, 538, 10072, 568, 1898, 269, 9615, 5161, 540, 11216, 547, 8396, 519, 9190, 3968, 538, 519, 11563, 267, 543, 751, 4550, 3562, 343, 1231, 547, 25559, 519, 546, 13023, 750, 807, 13802, 269, 11192, 5127, 6135, 568, 2838, 267, 4553, 676, 513, 598, 1998, 27853, 1974, 543, 513, 1360, 16795, 1427, 675, 547, 3339, 6296, 269, 1403, 546, 13023, 750, 807, 568, 5701, 538, 942, 267, 519, 3461, 1058, 9156, 4628, 563, 288, 4063, 281, 594, 1705, 711, 1039, 5961, 607, 789, 616, 3833, 8642, 269, 594, 3893, 519, 9623, 689, 513, 1433, 676, 16362, 7066, 341, 528, 4639, 517, 11022, 267, 631, 13612, 25897, 269, 0, 288, 3932, 666, 581, 6508, 689, 519, 2542, 593, 2436, 19078, 661, 2998, 1143, 568, 5963, 513, 5837, 3069, 269, 10738, 519, 2542, 267, 2059, 609, 19078, 661, 2998, 1143, 267, 16723, 661, 2998, 1143, 568, 5941, 269, 16723, 661, 2998, 1143, 15320, 689, 19078, 661, 2998, 1143, 538, 602, 621, 31234, 602, 1142, 1268, 1281, 538, 1249, 11654, 741, 1378, 1582, 29027, 4805, 269, 1677, 1489, 519, 3069, 540, 16723, 661, 2998, 1143, 621, 568, 7150, 602, 5621, 745, 2065, 6411, 540, 11587, 616, 5340, 1152, 547, 3132, 1434, 4606, 827, 13951, 269, 6271, 5885, 4661, 540, 19078, 661, 2998, 1143, 568, 602, 649, 2141, 798, 1018, 649, 1034, 1616, 547, 798, 563, 6097, 547, 20736, 330, 8583, 267, 6760, 568, 606, 2048, 15759, 1537, 851, 540, 782, 2635, 7239, 9957, 898, 779, 17149, 1317, 711, 1169, 4759, 540, 2486, 666, 581, 8449, 8149, 547, 519, 7104, 27742, 630, 1492, 3838, 2418, 543, 5837, 4978, 264, 540, 2486, 269, 4595, 2043, 616, 6534, 547, 1114, 7506, 543, 6381, 267, 621, 568, 2048, 11069, 6372, 585, 782, 547, 581, 7567, 9957, 4475, 711, 3025, 568, 8449, 26997, 547, 2736, 519, 1876, 269, 20736, 330, 8583, 4682, 593, 547, 2161, 602, 6760, 3884, 1406, 1152, 17149, 267, 621, 666, 849, 581, 6198, 563, 3891, 16976, 547, 2119, 543, 1689, 1010, 22038, 676, 1373, 513, 1434, 1268, 269, 769, 3376, 2474, 646, 7140, 547, 513, 1272, 609, 8699, 269, 2334, 585, 1864, 729, 711, 606, 2653, 4305, 1317, 646, 6487, 267, 29596, 267, 602, 646, 568, 6923, 606, 9409, 1268, 269, 23415, 20198, 2306, 2386, 713, 6560, 568, 10423, 1317, 621, 568, 519, 1034, 11347, 6560, 1063, 1434, 543, 9409, 538, 519, 3209, 269, 769, 5101, 540, 3798, 523, 267, 23415, 20198, 2306, 2836, 519, 1292, 6408, 540, 519, 6560, 1063, 1434, 543, 9409, 676, 10771, 23524, 949, 652, 563, 763, 1650, 20186, 519, 24407, 16666, 7092, 4810, 676, 16763, 945, 729, 2808, 513, 812, 540, 16495, 269, 634, 2272, 814, 6039, 1312, 607, 513, 1797, 540, 5885, 2757, 26069, 543, 607, 513, 10131, 14950, 585, 811, 7096, 10952, 4205, 7282, 519, 3390, 540, 1480, 3413, 997, 5406, 269, 1703, 616, 3833, 513, 1906, 26837, 4192, 4798, 538, 519, 3883, 540, 16763, 267, 799, 1331, 519, 16495, 540, 9639, 538, 19220, 540, 7092, 267, 5132, 6888, 30039, 282, 7092, 781, 711, 1373, 513, 10751, 585, 5609, 267, 2696, 781, 9631, 30876, 582, 775, 543, 519, 6514, 540, 13919, 269, 634, 860, 2103, 29849, 13985, 21590, 543, 15352, 27068, 594, 6035, 602, 519, 3883, 540, 16763, 6026, 602, 7092, 729, 513, 1625, 4328, 1995, 602, 729, 14909, 269, 4033, 5640, 723, 6700, 602, 1776, 6249, 4502, 6313, 568, 30768, 781, 17418, 547, 1174, 875, 2696, 1568, 3544, 519, 1158, 781, 7664, 540, 5126, 563, 30547, 602, 519, 6392, 602, 729, 11221, 676, 519, 2486, 1185, 547, 581, 6225, 547, 519, 2486, 282, 607, 1134, 607, 519, 1318, 543, 4636, 3527, 31030, 593, 519, 1198, 602, 891, 3527, 1185, 593, 519, 21379, 1952, 1465, 543, 8788, 540, 606, 1367, 269, 634, 21654, 729, 849, 1759, 593, 7954, 543, 1480, 8864, 729, 4947, 538, 547, 519, 4605, 269, 3689, 540, 782, 267, 645, 3147, 7559, 779, 4718, 25711, 607, 16283, 7803, 5126, 5773, 267, 2094, 25711, 729, 7550, 607, 513, 1455, 4480, 547, 3313, 2436, 606, 1367, 729, 16944, 610, 17608, 998, 946, 540, 1928, 269, 901, 538, 645, 3147, 7559, 779, 4064, 568, 16363, 607, 24631, 269, 4595, 519, 12475, 3293, 5428, 666, 581, 8810, 16944, 610, 17608, 1759, 593, 741, 1928, 10892, 267, 952, 606, 1367, 945, 814, 8149, 513, 6760, 543, 568, 1373, 12475, 3293, 2705, 741, 1928, 10892, 568, 1360, 1164, 543, 789, 616, 2111, 547, 1491, 519, 1928, 789, 949, 581, 24565, 607, 17608, 267, 2705, 952, 543, 1367, 568, 17608, 610, 16944, 814, 513, 1970, 1928, 10892, 543, 568, 711, 2111, 547, 11883, 609, 519, 1928, 543, 21334, 525, 1287, 621, 1100, 3476, 6927, 2436, 646, 8149, 519, 6760, 610, 711, 267, 3976, 1818, 454, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 270, 996, 923, 270, 842, 3174, 270, 842, 549, 318, 272, 11075, 15621, 594, 1589, 602, 7881, 568, 14344, 519, 3017, 1063, 1945, 1318, 543, 4636, 282, 621, 568, 513, 3206, 5650, 540, 14045, 2436, 1945, 12582, 1406, 610, 1058, 581, 2944, 269, 769, 1250, 6644, 1373, 5683, 568, 6031, 1945, 610, 3257, 1945, 543, 5329, 596, 8699, 269, 898, 568, 1373, 2111, 547, 1796, 909, 585, 3054, 543, 1018, 596, 3494, 1510, 1022, 2258, 18356, 602, 1223, 581, 18086, 547, 1866, 269, 3502, 1169, 1268, 568, 3501, 855, 950, 5185, 609, 513, 2352, 3375, 267, 952, 596, 798, 519, 1655, 3364, 596, 666, 798, 1287, 602, 1797, 596, 723, 1434, 26069, 269, 1879, 513, 1268, 779, 1101, 15859, 568, 602, 1945, 568, 4636, 543, 4061, 3085, 1406, 798, 621, 602, 568, 5683, 267, 2705, 952, 6616, 1945, 568, 4636, 855, 1869, 798, 621, 602, 568, 30907, 563, 1103, 713, 2013, 267, 15608, 568, 2324, 796, 996, 1227, 267, 865, 1010, 3527, 1590, 581, 606, 1799, 7394, 1383, 585, 519, 5520, 269, 4746, 267, 15608, 21485, 338, 30907, 6411, 786, 581, 1860, 519, 3919, 779, 2773, 1317, 15608, 568, 711, 17849, 519, 1655, 17053, 5520, 282, 646, 568, 17849, 519, 1034, 533, 612, 574, 2065, 1004, 269, 3958, 267, 594, 1589, 602, 15608, 568, 1210, 3351, 9107, 15178, 7744, 269, 7780, 4106, 4115, 15178, 7744, 1797, 602, 621, 568, 2653, 547, 1491, 519, 10304, 540, 1906, 2043, 936, 519, 10304, 540, 1776, 1895, 540, 2043, 269, 769, 713, 1259, 267, 594, 1589, 15608, 568, 1210, 3351, 9107, 15178, 7744, 1317, 646, 568, 3206, 1175, 538, 1010, 4324, 267, 855, 646, 568, 711, 3206, 540, 8639, 685, 2640, 563, 1607, 1797, 602, 519, 812, 568, 513, 7787, 543, 6411, 609, 3483, 267, 7429, 1490, 2373, 945, 8806, 957, 856, 540, 15859, 543, 16846, 269, 2494, 568, 5827, 540, 6616, 1312, 519, 15752, 543, 4539, 540, 1010, 3527, 267, 543, 568, 5827, 540, 32198, 873, 607, 1318, 610, 4636, 267, 610, 607, 1434, 610, 3983, 269, 634, 13429, 10522, 519, 5837, 4656, 610, 519, 12588, 540, 812, 547, 917, 610, 10646, 1318, 689, 4636, 2073, 543, 1434, 689, 3983, 269, 5822, 267, 2334, 2494, 568, 1863, 269, 15979, 8263, 602, 2494, 568, 1863, 547, 957, 2687, 547, 1010, 786, 543, 646, 814, 519, 1379, 547, 957, 267, 3717, 610, 1589, 952, 646, 23297, 547, 1510, 27047, 6493, 563, 2005, 20555, 513, 2318, 4743, 547, 18663, 602, 1268, 547, 723, 6015, 538, 13951, 269, 1635, 7863, 2576, 779, 4743, 596, 666, 4688, 873, 585, 513, 1554, 267, 855, 950, 596, 2149, 2576, 689, 1373, 2800, 267, 596, 666, 4688, 873, 585, 1272, 269, 774, 17816, 3871, 1810, 1405, 1175, 2049, 607, 18002, 282, 972, 666, 581, 1279, 3856, 17116, 3871, 1141, 14084, 786, 2285, 513, 1268, 513, 3152, 4960, 540, 6668, 269, 589, 6093, 1383, 1131, 581, 7642, 15720, 1282, 519, 5822, 2622, 2782, 269, 4107, 1131, 3858, 602, 621, 1131, 581, 1318, 547, 9114, 267, 538, 1931, 547, 2149, 873, 689, 519, 21647, 563, 320, 264, 8382, 5775, 1260, 2041, 630, 4198, 279, 264, 814, 4767, 602, 7881, 568, 2629, 538, 4948, 1272, 1317, 621, 2488, 519, 4493, 585, 519, 4267, 547, 519, 1271, 2243, 267, 834, 1103, 713, 3510, 1018, 798, 594, 798, 8119, 2311, 519, 2596, 1377, 267, 519, 2626, 547, 519, 2243, 568, 827, 1018, 5079, 812, 2306, 540, 1318, 543, 4636, 538, 782, 1272, 14365, 2293, 269, 634, 13642, 14329, 267, 519, 14210, 16710, 906, 543, 18648, 9400, 781, 1325, 2006, 659, 1683, 2241, 2035, 827, 1318, 543, 4636, 602, 19149, 622, 2486, 676, 4227, 11508, 269, 5274, 1272, 1131, 581, 26093, 1510, 7881, 269, 898, 568, 938, 1797, 540, 14045, 513, 1576, 540, 2962, 269, 0, 5978, 2319, 1031, 6310, 2203, 547, 4194, 1079, 2042, 538, 2698, 563, 288, 269, 21023, 532, 519, 4398, 540, 5043, 848, 538, 24155, 269, 898, 9672, 519, 23250, 540, 938, 5547, 950, 649, 2966, 621, 563, 289, 269, 3244, 6819, 519, 18236, 1184, 540, 519, 1065, 31395, 543, 3843, 547, 1205, 513, 10257, 3070, 540, 519, 11186, 4834, 547, 4612, 519, 24694, 540, 5043, 1162, 950, 938, 6632, 2978, 4603, 4682, 4636, 563, 5472, 519, 2164, 568, 7229, 593, 30731, 610, 4223, 1335, 2045, 320, 563, 5575, 851, 1496, 19547, 5661, 2639, 1103, 713, 851, 267, 649, 1305, 909, 606, 3312, 2203, 540, 5027, 21921, 1588, 676, 5043, 848, 267, 519, 5114, 1599, 4422, 607, 5205, 912, 2171, 946, 968, 303, 289, 892, 543, 968, 28384, 892, 547, 2099, 519, 4609, 540, 5027, 1373, 21921, 1441, 610, 711, 14384, 543, 968, 4504, 892, 547, 2099, 519, 5043, 848, 269, 634, 1866, 2099, 519, 10827, 919, 15301, 29664, 269, 272, 994, 8802, 6819, 782, 519, 5114, 1184, 676, 3617, 6310, 3252, 267, 649, 4137, 856, 519, 4398, 540, 519, 5043, 848, 21921, 1588, 538, 20117, 267, 1141, 972, 568, 1100, 14041, 2504, 267, 8920, 1081, 543, 12159, 563, 10190, 267, 649, 1205, 519, 4137, 272, 269, 273, 547, 4612, 875, 519, 21921, 1588, 2557, 2242, 936, 942, 269, 1656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2691, 789, 799, 941, 827, 1864, 4718, 1018, 1131, 1246, 267, 789, 1767, 21349, 1864, 267, 7083, 267, 4927, 649, 1159, 924, 609, 519, 18156, 8119, 734, 299, 8123, 476, 2420, 281, 5392, 454, 257, 4517, 267, 1531, 1245, 267, 835, 540, 873, 799, 941, 609, 4906, 21401, 856, 1010, 1688, 543, 16668, 1010, 18156, 267, 543, 13351, 513, 22700, 540, 519, 1164, 17308, 781, 267, 543, 1159, 1774, 1055, 1010, 1274, 1701, 734, 300, 3430, 269, 476, 2918, 281, 7906, 267, 4460, 476, 1691, 281, 5325, 267, 3627, 476, 1240, 281, 1015, 454, 19285, 993, 2097, 547, 6494, 3595, 593, 519, 3618, 282, 543, 1018, 786, 594, 267, 952, 621, 581, 2907, 2186, 1194, 734, 22428, 9493, 602, 594, 993, 2097, 547, 2285, 4708, 593, 3618, 286, 594, 2995, 596, 267, 715, 599, 282, 855, 2864, 6498, 281, 1280, 689, 8754, 1721, 628, 972, 4927, 581, 2947, 538, 835, 2777, 5258, 267, 1614, 1996, 1079, 543, 1079, 1996, 1614, 269, 634, 4651, 4927, 581, 5258, 1996, 519, 5067, 267, 543, 519, 5067, 1996, 519, 4651, 734, 519, 3993, 1996, 519, 8250, 267, 543, 519, 8250, 1996, 519, 3993, 32586, 3993, 2987, 25237, 1996, 1200, 8250, 2987, 25237, 267, 543, 519, 8250, 2987, 25237, 1996, 1200, 3993, 2987, 25237, 1701, 734, 299, 8123, 476, 1321, 281, 5392, 454, 8368, 540, 12937, 0, 16498, 3797, 267, 3622, 1572, 1610, 23956, 267, 568, 2731, 1851, 519, 2810, 4610, 540, 3782, 11678, 269, 4284, 19708, 1905, 1235, 3761, 2168, 2126, 3435, 547, 2043, 945, 723, 1044, 12936, 676, 7063, 267, 10172, 267, 610, 3676, 971, 607, 19576, 779, 4576, 269, 1452, 2168, 13309, 7463, 338, 4125, 513, 3099, 540, 2168, 6268, 267, 4879, 267, 607, 1134, 607, 3797, 269, 589, 1610, 19708, 1905, 626, 2115, 547, 581, 14468, 14384, 689, 513, 10540, 12278, 4387, 607, 1134, 607, 513, 10629, 267, 607, 891, 12665, 2154, 1114, 2157, 540, 2866, 607, 1134, 607, 2069, 269, 4284, 19708, 1905, 626, 6009, 11338, 2154, 602, 646, 3489, 3063, 1983, 971, 607, 31214, 13995, 610, 6595, 2126, 2866, 267, 538, 2013, 646, 568, 2479, 3238, 538, 606, 12136, 17596, 6595, 2126, 269, 634, 9165, 540, 2168, 3797, 2533, 568, 5458, 269, 15706, 666, 2638, 856, 513, 2168, 13309, 547, 8207, 30273, 2152, 267, 2523, 1346, 1644, 547, 519, 20258, 267, 4887, 267, 543, 30301, 10850, 269, 6201, 540, 30273, 2152, 18808, 609, 3842, 2168, 2126, 1331, 4745, 6553, 267, 536, 2720, 4345, 267, 16625, 8833, 5945, 267, 1200, 333, 7007, 25923, 267, 29998, 13116, 26711, 267, 11560, 334, 12263, 267, 25688, 4345, 267, 543, 15254, 545, 846, 1698, 650, 2456, 269, 589, 2168, 13309, 666, 10123, 3713, 543, 4308, 609, 2042, 971, 607, 627, 328, 680, 1662, 267, 12636, 7063, 267, 8405, 1928, 267, 17281, 23969, 4745, 267, 13105, 9636, 267, 543, 12680, 13542, 269, 1323, 3606, 20614, 540, 2168, 2126, 568, 5026, 4915, 267, 799, 2356, 14122, 7231, 609, 543, 849, 9319, 15779, 7063, 630, 7945, 607, 911, 30864, 267, 3318, 19002, 779, 3723, 267, 543, 11983, 10260, 7063, 264, 607, 1134, 607, 2921, 1416, 540, 7920, 7063, 269, 589, 1610, 19708, 1905, 626, 666, 10123, 4308, 609, 543, 1491, 1416, 540, 2042, 4448, 609, 519, 5642, 543, 4745, 1062, 267, 971, 607, 26043, 15677, 267, 681, 10485, 267, 543, 849, 627, 328, 680, 1662, 269, 1306, 19497, 7150, 267, 513, 3461, 949, 991, 547, 3343, 5796, 689, 513, 25280, 1991, 547, 23312, 547, 835, 811, 1377, 540, 3797, 269, 1403, 972, 616, 1022, 2186, 540, 7965, 610, 13542, 602, 1491, 1747, 1247, 8156, 513, 3461, 267, 25280, 338, 991, 547, 581, 2139, 547, 2708, 543, 1521, 891, 6381, 269, 769, 1082, 2665, 267, 25280, 338, 1522, 991, 547, 4163, 856, 703, 28424, 2409, 538, 1931, 547, 3035, 513, 5551, 6364, 269, 1280, 1383, 267, 952, 513, 1268, 9388, 609, 5312, 1394, 1928, 267, 607, 1134, 607, 952, 1875, 29554, 2409, 616, 711, 3811, 267, 513, 25280, 949, 991, 547, 798, 12636, 12879, 547, 8897, 519, 8373, 269, 11153, 2043, 1205, 25280, 2533, 609, 741, 8378, 1072, 1416, 11285, 269, 1717, 267, 811, 2550, 19951, 616, 4867, 8939, 513, 2123, 2168, 3797, 9744, 269, 1703, 616, 3875, 5383, 585, 513, 1268, 547, 22738, 713, 2186, 540, 1416, 267, 9967, 540, 519, 4641, 602, 519, 2533, 616, 2123, 267, 2123, 267, 543, 12600, 3782, 568, 7363, 6035, 593, 513, 15360, 676, 519, 32162, 269, 9603, 547, 519, 1249, 602, 513, 25280, 13333, 538, 513, 10629, 779, 5604, 267, 646, 610, 1352, 786, 6157, 723, 10333, 547, 2564, 3937, 543, 2079, 2645, 602, 513, 1072, 1416, 4274, 949, 711, 917, 609, 269, 1879, 513, 7817, 6238, 2126, 609, 513, 1610, 19708, 1905, 626, 267, 519, 2126, 4640, 786, 6157, 581, 4857, 676, 513, 10531, 4640, 540, 2126, 602, 5543, 1407, 519, 1268, 779, 1808, 7569, 543, 849, 6859, 269, 4014, 513, 2168, 13309, 814, 519, 2866, 543, 849, 2069, 2838, 547, 28433, 513, 2126, 1544, 267, 621, 5673, 593, 519, 1367, 547, 3442, 799, 1935, 20923, 13292, 1864, 610, 1200, 269, 11048, 267, 513, 2168, 13309, 666, 711, 2149, 1996, 7063, 610, 10108, 269, 634, 6662, 540, 25280, 960, 568, 3274, 547, 9004, 1928, 267, 20159, 610, 2057, 8628, 2027, 338, 2115, 267, 543, 849, 11177, 519, 4183, 540, 519, 1560, 269, 589, 1268, 1590, 18783, 547, 2132, 547, 25280, 960, 607, 4166, 607, 1010, 17017, 25280, 3797, 814, 3927, 17251, 1010, 17017, 2115, 269, 1403, 596, 616, 7680, 9636, 267, 4617, 1448, 267, 32688, 267, 610, 824, 4191, 2404, 609, 606, 5945, 267, 621, 949, 581, 6225, 547, 3717, 609, 707, 2123, 4387, 1354, 25786, 707, 1360, 1101, 1294, 609, 513, 25280, 269, 2659, 25280, 786, 723, 519, 2702, 547, 4137, 856, 952, 596, 2154, 15904, 547, 7753, 707, 4191, 610, 952, 596, 11129, 547, 3274, 798, 693, 25571, 5751, 269, 769, 1082, 2665, 267, 621, 949, 581, 3730, 547, 1413, 585, 513, 15360, 689, 835, 811, 1072, 1416, 11285, 971, 607, 513, 31497, 11285, 267, 2168, 13309, 267, 11560, 13771, 267, 5026, 4915, 2564, 3318, 267, 3092, 269, 547, 2327, 602, 596, 616, 8391, 519, 3617, 2179, 540, 3797, 267, 5751, 267, 610, 11257, 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 ]
[ 9763, 607, 519, 12572, 1439, 547, 513, 1974, 538, 7819, 9097, 6214, 855, 519, 1686, 540, 519, 605, 2280, 4115, 24180, 3350, 538, 519, 721, 543, 11992, 11729, 1082, 1806, 540, 3906, 538, 799, 24808, 543, 20833, 2111, 4853, 4600, 1498, 269, 2986, 513, 7004, 540, 4540, 2804, 543, 7292, 1379, 1894, 602, 789, 5156, 11542, 693, 519, 2707, 540, 713, 5208, 267, 1079, 18073, 1633, 7264, 2443, 27342, 2421, 694, 1446, 543, 27280, 344, 1007, 2023, 2443, 4956, 547, 1491, 6927, 883, 741, 1378, 3946, 538, 476, 3422, 277, 267, 789, 2813, 519, 3109, 20562, 615, 5428, 267, 513, 9097, 2797, 3919, 269, 634, 3109, 20562, 615, 5428, 585, 1582, 12413, 1619, 267, 6382, 1634, 607, 519, 3109, 20562, 615, 5428, 630, 321, 653, 1070, 729, 3964, 538, 476, 3422, 277, 676, 27280, 344, 1007, 2023, 543, 27342, 2421, 694, 1446, 519, 1079, 3056, 12316, 2367, 2813, 519, 3084, 3919, 607, 513, 1259, 547, 15217, 8396, 3043, 15746, 1310, 7683, 7487, 3109, 269, 634, 4922, 12649, 17770, 13132, 540, 1079, 1883, 3401, 540, 519, 3109, 20562, 615, 5428, 267, 513, 2101, 1353, 540, 602, 2797, 3919, 267, 513, 7260, 676, 5283, 9109, 543, 544, 9222, 1510, 519, 1489, 540, 513, 9097, 1242, 4600, 262, 3350, 538, 15852, 519, 4567, 6709, 334, 267, 1100, 5963, 9097, 2242, 538, 519, 8739, 20300, 2497, 540, 519, 2197, 941, 269, 7585, 2421, 694, 1446, 281, 3109, 20562, 615, 5428, 267, 476, 3422, 277, 267, 950, 27280, 344, 543, 1775, 8547, 602, 3919, 267, 602, 1880, 1032, 3875, 6411, 540, 7128, 30468, 1185, 17275, 513, 2603, 540, 21245, 543, 27280, 344, 543, 1775, 3459, 547, 2119, 547, 4137, 856, 875, 1223, 649, 10891, 476, 276, 267, 1822, 32249, 3109, 11570, 883, 930, 2186, 540, 2797, 3887, 937, 7394, 1379, 3350, 269, 634, 2012, 543, 3090, 540, 519, 20562, 1667, 941, 7550, 689, 519, 1970, 526, 525, 10315, 5191, 3919, 630, 331, 22396, 334, 1070, 606, 4830, 2797, 3919, 2879, 764, 5280, 606, 21107, 538, 519, 3109, 20562, 615, 6045, 281, 968, 1492, 2810, 10072, 540, 519, 3109, 9097, 3350, 689, 519, 3043, 9097, 3350, 729, 513, 269, 9521, 930, 28929, 3906, 602, 8604, 547, 2203, 2933, 593, 519, 5784, 540, 4182, 540, 28991, 630, 31347, 610, 711, 713, 729, 29596, 7150, 1070, 519, 20562, 1667, 5018, 6710, 3613, 4459, 523, 16543, 267, 4234, 16394, 267, 607, 2103, 267, 543, 5065, 22988, 689, 519, 856, 3553, 538, 741, 11407, 3976, 1454, 540, 519, 1034, 9097, 563, 296, 4465, 1405, 22281, 519, 1964, 540, 519, 6429, 267, 4849, 547, 4063, 602, 519, 862, 27458, 540, 1079, 1360, 1114, 23200, 540, 519, 2165, 968, 18872, 20562, 615, 892, 1765, 1492, 13371, 26247, 5869, 543, 519, 12316, 3919, 267, 4401, 1227, 3964, 1175, 3275, 6306, 538, 476, 3422, 277, 28934, 538, 1100, 1259, 23139, 267, 543, 621, 786, 1217, 3388, 602, 5205, 269, 4563, 1996, 10504, 281, 519, 1686, 543, 6214, 540, 519, 3109, 20562, 615, 5428, 630, 1492, 24636, 1368, 526, 5748, 29501, 538, 19052, 7819, 2090, 264, 1496, 329, 9655, 7699, 16036, 267, 9267, 4777, 552, 31994, 795, 337, 316, 593, 519, 32312, 1433, 2689, 713, 568, 519, 17046, 1686, 540, 835, 540, 519, 1390, 12316, 3906, 538, 519, 1686, 540, 713, 2197, 269, 2334, 781, 711, 3833, 1018, 1034, 1004, 3314, 827, 519, 3109, 20562, 615, 5428, 267, 4171, 15040, 3109, 581, 28905, 267, 16463, 13544, 1115, 543, 3595, 1532, 805, 3107, 20116, 3357, 547, 21843, 519, 3109, 17740, 656, 3350, 4922, 9833, 607, 519, 1034, 7298, 540, 519, 9097, 3906, 8547, 538, 519, 1412, 2568, 338, 267, 519, 20562, 1667, 616, 9763, 269, 10738, 1079, 1296, 519, 20562, 1667, 2968, 2518, 6698, 540, 9097, 3109, 4187, 267, 17005, 538, 513, 7930, 32033, 1106, 2394, 519, 2038, 476, 2735, 271, 338, 538, 1880, 267, 16036, 543, 31994, 2226, 602, 972, 729, 25843, 267, 8699, 267, 543, 6392, 538, 519, 20562, 1667, 262, 3919, 267, 543, 519, 4589, 616, 5693, 679, 600, 1819, 540, 519, 20562, 1667, 23823, 20238, 673, 3906, 1282, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 3842, 513, 5951, 540, 1747, 1369, 519, 12106, 540, 7920, 2797, 31195, 267, 2523, 519, 3140, 804, 10449, 4371, 2942, 5784, 540, 519, 3109, 20562, 615, 5428, 789, 22157, 547, 2070, 519, 20562, 1667, 607, 3768, 529, 4184, 1441, 543, 538, 867, 514, 2299, 6766, 676, 3043, 2451, 3906, 2943, 267, 741, 269, 589, 29065, 7400, 2070, 540, 519, 3232, 960, 540, 3109, 20562, 1667, 2066, 519, 2197, 6609, 713, 568, 519, 3791, 4320, 538, 4140, 5459, 561, 14247, 742, 1845, 781, 1279, 24365, 4674, 547, 5862, 513, 811, 2347, 17855, 540, 519, 1034, 4922, 1634, 3919, 547, 10836, 689, 519, 476, 3422, 271, 338, 3109, 1379, 3350, 899, 922, 21530, 25600, 630, 1260, 10232, 281, 513, 2199, 563, 2080, 781, 513, 678, 1495, 1144, 593, 1946, 519, 5428, 729, 4646, 543, 1018, 789, 12479, 547, 9585, 269, 1879, 596, 1413, 693, 519, 3677, 5322, 267, 899, 519, 3540, 2924, 3350, 267, 596, 1294, 891, 2620, 5717, 1472, 4008, 6214, 1369, 891, 5322, 267, 693, 835, 1377, 267, 3025, 4947, 547, 519, 3919, 4547, 538, 741, 1378, 12886, 267, 538, 1082, 2081, 267, 519, 3919, 729, 10010, 609, 1018, 519, 2197, 693, 269, 3245, 519, 856, 3553, 267, 519, 3109, 20562, 615, 5428, 13890, 513, 4557, 1448, 1982, 267, 711, 7429, 1346, 540, 519, 8471, 2258, 549, 6454, 7681, 543, 4182, 540, 28991, 267, 547, 20006, 3084, 19052, 7819, 2146, 6668, 3785, 543, 547, 585, 613, 24816, 609, 11636, 3043, 18119, 543, 824, 3906, 540, 563, 4322, 29708, 6589, 4843, 519, 536, 653, 693, 519, 642, 1481, 731, 540, 3735, 476, 3422, 271, 338, 9097, 1143, 543, 607, 606, 3919, 554, 15903, 676, 519, 18073, 1633, 7128, 543, 519, 535, 6798, 607, 729, 519, 2013, 609, 2038, 12583, 540, 519, 3540, 2924, 3350, 267, 789, 941, 7361, 6353, 676, 968, 655, 10899, 7029, 543, 22233, 967, 793, 566, 27260, 763, 20562, 1667, 12050, 569, 11542, 909, 547, 519, 796, 8455, 1194, 30468, 543, 10168, 540, 13314, 781, 7128, 4229, 267, 19480, 3544, 540, 519, 6302, 1305, 676, 519, 3540, 2924, 3350, 267, 16175, 14957, 8165, 3595, 609, 3595, 267, 543, 26936, 2933, 609, 4914, 6608, 543, 3906, 2808, 4550, 21553, 704, 658, 626, 267, 1519, 519, 3084, 269, 32087, 538, 519, 535, 6798, 781, 3758, 593, 519, 3109, 20562, 615, 5428, 729, 513, 6989, 1544, 540, 8423, 17980, 781, 19887, 4481, 7114, 519, 5127, 1141, 646, 11739, 696, 538, 513, 968, 4621, 335, 16820, 2966, 547, 1016, 3200, 543, 9004, 519, 3109, 20562, 615, 5428, 543, 922, 2818, 2223, 7551, 1139, 7675, 513, 968, 341, 1388, 9097, 15918, 871, 2797, 3919, 269, 1879, 513, 1895, 540, 20562, 1667, 7152, 693, 519, 1533, 5264, 538, 5485, 26963, 334, 8876, 16041, 20711, 956, 543, 8929, 326, 12584, 267, 519, 3919, 16668, 3084, 3377, 3007, 543, 630, 520, 2547, 17303, 264, 678, 718, 1221, 1082, 2797, 11122, 2510, 267, 1519, 979, 341, 678, 10735, 556, 12298, 267, 547, 519, 2014, 540, 7784, 1852, 2592, 540, 3109, 2367, 538, 269, 0, 13436, 885, 543, 3604, 1063, 19052, 543, 5065, 22988, 1686, 1557, 454, 21008, 2581, 1063, 7819, 543, 967, 664, 2528, 3594, 1260, 1706, 2581, 1063, 7819, 543, 21944, 2528, 543, 2418, 972, 616, 513, 2603, 540, 3604, 1063, 7819, 543, 21944, 2528, 543, 2418, 269, 476, 275, 3604, 1063, 1272, 538, 519, 721, 543, 5045, 21562, 972, 616, 2731, 1906, 10486, 1063, 1250, 1753, 543, 713, 1747, 513, 5065, 540, 6830, 546, 17690, 269, 634, 3604, 538, 23381, 1063, 1174, 1883, 3604, 1063, 5065, 7819, 723, 1053, 4584, 835, 891, 3584, 543, 2328, 513, 2110, 1557, 269, 20212, 1063, 5065, 22988, 543, 547, 1489, 602, 519, 3604, 1063, 5065, 967, 2103, 543, 21570, 753, 26788, 19042, 519, 10486, 3119, 1557, 563, 15404, 32093, 538, 21562, 28991, 543, 21562, 616, 2436, 5065, 610, 1500, 909, 540, 5640, 6131, 547, 606, 8076, 1353, 540, 19052, 1686, 269, 3979, 7819, 1686, 3346, 1063, 5065, 22988, 543, 21570, 753, 1305, 519, 519, 1053, 547, 5815, 519, 10486, 543, 3604, 6829, 538, 269, 5381, 885, 543, 3604, 10486, 543, 3604, 5065, 22988, 1299, 7178, 12869, 753, 635, 23218, 8721, 31574, 1749, 270, 20931, 10275, 1749, 14672, 894, 268, 15330, 15092, 10275, 1749, 270, 972, 616, 269, 589, 6476, 540, 5065, 7819, 543, 19052, 7819, 19052, 7819, 1686, 609, 5065, 4352, 930, 10486, 666, 581, 1336, 585, 5065, 563, 13436, 885, 1063, 513, 26894, 705, 13092, 543, 5065, 22988, 1557, 513, 26894, 705, 10594, 10904, 543, 5065, 22988, 616, 938, 1686, 10486, 1063, 269, 3979, 22988, 20665, 676, 5103, 12946, 930, 5634, 10486, 267, 519, 3604, 1063, 713, 547, 811, 827, 7819, 543, 562, 9528, 1014, 2528, 1557, 5065, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 3604, 543, 10486, 1063, 24067, 543, 5065, 7819, 1686, 741, 10486, 543, 3604, 269, 4746, 267, 519, 1655, 5299, 540, 713, 1957, 593, 2686, 3604, 949, 581, 16310, 1373, 513, 5065, 713, 814, 1044, 4657, 607, 19052, 22988, 616, 1447, 563, 1607, 1557, 786, 4061, 5659, 519, 10486, 543, 3604, 1063, 5065, 7819, 543, 19052, 10764, 538, 2474, 540, 519, 2856, 1164, 5601, 519, 1557, 849, 269, 968, 18528, 3720, 1063, 21099, 543, 7819, 7005, 1557, 892, 789, 11402, 5065, 22988, 3604, 543, 10486, 1063, 4540, 3354, 563, 4692, 649, 2721, 19320, 1063, 519, 19052, 22988, 543, 5065, 22988, 262, 1686, 10486, 543, 3604, 540, 5065, 22988, 543, 19052, 269, 2776, 2000, 629, 2055, 2697, 519, 2101, 10486, 543, 3604, 1063, 605, 28648, 5328, 543, 32541, 2281, 1141, 568, 519, 31252, 24428, 538, 513, 605, 28648, 5328, 1591, 1141, 568, 621, 24428, 538, 513, 32541, 1591, 269, 6925, 814, 513, 1686, 17364, 1082, 606, 1557, 593, 10486, 543, 3604, 1063, 1312, 519, 19052, 7819, 543, 5065, 7819, 563, 24718, 543, 4334, 5065, 7819, 967, 2103, 543, 19052, 22988, 3594, 543, 5065, 7819, 1557, 1686, 5065, 7819, 2528, 814, 513, 1360, 3638, 269, 5381, 885, 1299, 3604, 281, 7819, 967, 2103, 6422, 1063, 5087, 7819, 25165, 543, 519, 21099, 729, 540, 5087, 13314, 676, 5065, 22988, 269, 3979, 22988, 543, 705, 13092, 9082, 281, 10486, 543, 1713, 3604, 1063, 519, 19052, 268, 26410, 1557, 568, 519, 1101, 563, 5825, 1686, 1557, 2055, 1353, 1404, 678, 3578, 1652, 543, 7166, 1082, 5065, 22988, 267, 324, 1203, 1302, 789, 530, 21317, 856, 519, 10486, 1063, 519, 7005, 15713, 540, 269, 5381, 885, 1063, 5065, 22988, 21570, 753, 543, 538, 5065, 7819, 1686, 1018, 616, 519, 10486, 1063, 519, 19052, 7819, 2528, 606, 5065, 7819, 269, 5131, 17440, 593, 6476, 1063, 19052, 543, 7819, 4529, 1686, 3594, 1256, 1498, 1034, 540, 519, 5065, 10034, 543, 14252, 616, 711, 1360, 4359, 269, 901, 568, 519, 2347, 1257, 540, 1018, 568, 19052, 2757, 4984, 267, 606, 1557, 676, 538, 519, 1686, 540, 519, 1480, 5198, 19052, 519, 3604, 1063, 563, 3080, 540, 519, 2101, 3604, 602, 666, 581, 2938, 1063, 7819, 543, 1753, 602, 666, 581, 2938, 1063, 7819, 543, 21944, 2528, 1169, 835, 814, 1686, 269, 10749, 1644, 547, 3347, 1063, 5065, 22988, 543, 540, 19052, 7819, 543, 5065, 7819, 1004, 543, 2686, 3604, 1063, 519, 269, 5131, 5065, 22988, 4574, 267, 3594, 2182, 942, 585, 519, 19052, 268, 15330, 15092, 543, 5065, 22988, 540, 519, 721, 1686, 540, 5065, 22988, 910, 5065, 7819, 269, 7476, 3758, 0, 7072, 15222, 344, 568, 21155, 983, 1646, 543, 2038, 561, 1393, 531, 1599, 540, 17748, 543, 1875, 8410, 24632, 9979, 1310, 1480, 538, 20117, 22289, 1480, 269, 1323, 5813, 883, 519, 5683, 2152, 1644, 547, 538, 20117, 22289, 4367, 519, 1007, 10285, 513, 21099, 3919, 1634, 607, 519, 1480, 269, 4985, 519, 2298, 540, 519, 538, 20117, 2528, 543, 3257, 25623, 538, 20117, 22289, 693, 519, 1909, 9279, 11857, 538, 1480, 538, 20117, 22289, 281, 513, 269, 19129, 268, 26297, 29299, 519, 1909, 540, 512, 268, 3559, 704, 29299, 538, 1480, 12093, 814, 979, 341, 270, 8234, 270, 659, 17815, 270, 842, 3174, 326, 990, 538, 20117, 22289, 543, 22591, 281, 563, 1432, 1281, 519, 23573, 2161, 827, 538, 8686, 527, 549, 22289, 630, 643, 325, 264, 1317, 519, 6992, 1242, 4212, 568, 513, 2713, 1480, 267, 972, 616, 930, 5837, 6286, 547, 2015, 269, 769, 20117, 22289, 281, 616, 972, 588, 961, 331, 5683, 2042, 535, 328, 349, 560, 3811, 1480, 22289, 729, 7152, 676, 538, 20117, 22289, 31267, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 2043, 616, 8069, 945, 616, 5827, 540, 22212, 1107, 543, 945, 8209, 4612, 1107, 519, 4978, 602, 789, 27836, 267, 543, 865, 267, 676, 29943, 267, 519, 3527, 602, 616, 3617, 547, 1022, 2259, 538, 799, 789, 7119, 269, 901, 4661, 1281, 711, 17538, 602, 3025, 568, 513, 19167, 945, 267, 607, 606, 1367, 267, 814, 513, 1713, 1198, 593, 519, 3140, 4287, 513, 4182, 3217, 269, 898, 10522, 1152, 602, 1004, 616, 8069, 945, 616, 5827, 540, 22212, 741, 18472, 543, 865, 9117, 538, 3209, 2081, 269, 1879, 789, 798, 865, 267, 789, 616, 3810, 12691, 547, 723, 513, 1713, 1198, 593, 513, 4182, 8259, 824, 1004, 1118, 2147, 12381, 267, 543, 1256, 1287, 519, 2242, 538, 519, 4182, 1131, 581, 12691, 547, 5330, 547, 1022, 602, 789, 1522, 20053, 269, 8315, 10355, 267, 952, 2479, 267, 4096, 2047, 593, 519, 3527, 540, 1022, 2016, 1367, 269, 1358, 798, 2874, 9003, 540, 519, 4657, 3527, 540, 513, 2039, 540, 2043, 269, 2353, 8789, 3084, 3197, 543, 5389, 616, 7683, 1930, 547, 16311, 566, 543, 1689, 269, 1358, 798, 711, 13822, 519, 4182, 269, 1677, 519, 14669, 267, 789, 8451, 607, 20314, 550, 2472, 540, 3157, 540, 16311, 566, 543, 1689, 269, 9747, 267, 950, 9097, 8978, 1235, 4739, 3084, 12583, 267, 789, 616, 2693, 547, 2628, 2027, 3007, 547, 891, 3157, 269, 2817, 3197, 543, 5389, 2408, 607, 3309, 543, 19944, 6681, 269, 4475, 267, 9097, 8978, 1235, 5031, 711, 1175, 519, 2504, 543, 15385, 540, 10665, 267, 855, 849, 267, 3791, 569, 267, 519, 32469, 540, 519, 9163, 543, 9821, 1336, 1369, 1022, 4182, 269, 1879, 12206, 1045, 5803, 7104, 6688, 1107, 519, 3741, 267, 3197, 543, 5389, 540, 11095, 8978, 1235, 267, 607, 1134, 607, 519, 21374, 543, 28944, 540, 1514, 2257, 12206, 1107, 891, 6688, 616, 25964, 547, 12404, 267, 27315, 2685, 610, 6382, 267, 519, 3309, 4978, 543, 13821, 602, 12592, 2043, 269, 24447, 1331, 7292, 543, 4008, 3604, 267, 543, 3604, 1369, 14797, 543, 25469, 267, 602, 616, 20495, 952, 649, 26686, 873, 1927, 607, 513, 811, 19618, 4182, 269, 2641, 1924, 267, 9097, 8978, 1235, 1522, 2263, 519, 2081, 538, 799, 8789, 9163, 1714, 728, 267, 543, 1256, 5581, 2933, 1996, 267, 1866, 269, 634, 4473, 540, 930, 3703, 9163, 666, 581, 5143, 267, 585, 1383, 267, 538, 2474, 540, 606, 16765, 11685, 547, 513, 30871, 2404, 609, 519, 3943, 269, 2420, 7101, 673, 8978, 1235, 5031, 267, 8772, 569, 267, 19944, 8462, 607, 9163, 616, 9927, 936, 942, 269, 1744, 22284, 538, 519, 3703, 4182, 2408, 267, 585, 3236, 267, 547, 4125, 3209, 20327, 1394, 5196, 519, 2250, 267, 2864, 982, 513, 6024, 1646, 540, 4295, 4798, 269, 634, 3084, 3961, 4957, 13497, 689, 513, 2631, 540, 2296, 1145, 585, 3022, 1282, 570, 31122, 2053, 267, 998, 519, 3703, 1145, 602, 21256, 1282, 519, 10617, 1996, 5333, 267, 593, 547, 519, 8798, 540, 606, 15875, 5692, 267, 519, 12461, 13519, 1045, 6327, 540, 519, 695, 2231, 267, 543, 267, 649, 1522, 1631, 1039, 267, 1715, 23267, 779, 5075, 540, 2048, 290, 944, 2826, 2335, 807, 9957, 2537, 1879, 9097, 8978, 1235, 2099, 519, 4182, 607, 9112, 267, 30427, 267, 21630, 543, 19944, 6681, 267, 5310, 789, 1522, 4766, 519, 1267, 607, 513, 1686, 3564, 267, 610, 1256, 1510, 267, 519, 4182, 269, 4256, 6386, 540, 1514, 4070, 3954, 1823, 1047, 519, 4182, 267, 6029, 621, 547, 581, 519, 16545, 1587, 540, 1808, 3140, 3157, 269, 4256, 6386, 540, 30427, 8928, 771, 704, 572, 519, 4182, 267, 10223, 519, 3350, 540, 2093, 267, 9821, 543, 8155, 2066, 10665, 269, 4256, 6386, 540, 3017, 23650, 519, 4182, 267, 27109, 930, 540, 519, 12683, 2516, 1369, 621, 269, 4256, 6386, 540, 19944, 8462, 14443, 519, 4182, 267, 13031, 8297, 696, 999, 543, 14759, 998, 942, 269, 1772, 513, 3954, 1823, 2213, 267, 24797, 267, 27929, 543, 29169, 4182, 1256, 20716, 2673, 547, 1018, 568, 7363, 5921, 676, 513, 4182, 286, 10787, 689, 1373, 19911, 531, 11551, 585, 3084, 12583, 267, 5310, 621, 568, 942, 649, 3323, 547, 2995, 519, 12583, 540, 5121, 540, 9082, 269, 12344, 649, 1058, 4739, 12583, 540, 782, 12204, 540, 20718, 2516, 267, 1152, 930, 540, 7247, 13986, 267, 811, 610, 1447, 6707, 267, 547, 4020, 3084, 16697, 2456, 543, 547, 20818, 1346, 16697, 2456, 593, 1866, 563, 268, 808, 269, 853, 777, 13987, 267, 11572, 25827, 338, 543, 5398, 5772, 885, 538, 6628, 2094, 476, 6977, 271, 267, 25480, 2676, 1220, 272, 269, 4746, 1294, 1631, 808, 269, 853, 777, 13987, 267, 11184, 14880, 21563, 656, 543, 2817, 3778, 538, 3828, 12351, 454, 28495, 1722, 6628, 267, 28469, 5069, 267, 11022, 267, 476, 1220, 276, 563, 268, 623, 269, 13495, 2401, 267, 3778, 543, 2817, 5020, 267, 5507, 267, 476, 1220, 273, 269, 4746, 1294, 1631, 519, 1256, 811, 454, 516, 9679, 626, 623, 269, 13495, 2401, 267, 634, 2296, 2817, 10886, 281, 634, 3778, 540, 606, 22830, 689, 454, 10955, 24792, 8738, 651, 547, 25414, 2349, 1515, 267, 1715, 670, 13273, 267, 476, 1220, 277, 563, 268, 590, 269, 2051, 4802, 328, 267, 2296, 623, 6814, 281, 10749, 538, 3778, 543, 9177, 267, 10228, 267, 476, 1960, 280, 563, 268, 594, 723, 13986, 547, 5750, 930, 540, 519, 4657, 2081, 538, 799, 6082, 723, 1044, 454, 21323, 538, 631, 269, 2142, 341, 597, 267, 2048, 303, 11823, 5525, 607, 21931, 543, 3163, 267, 476, 6642, 271, 1700, 1220, 271, 8730, 11572, 454, 22137, 476, 7918, 267, 476, 1220, 277, 281, 476, 6812, 274, 1700, 2568, 277, 563, 268, 898, 568, 5310, 4143, 1934, 602, 13495, 2401, 779, 1101, 1433, 729, 513, 25091, 7071, 540, 454, 2662, 24513, 1143, 281, 1294, 623, 269, 13495, 2401, 267, 14163, 7095, 6554, 538, 519, 6520, 540, 21637, 281, 1733, 12127, 543, 454, 299, 756, 5644, 267, 476, 8146, 271, 1700, 6977, 273, 267, 10228, 267, 476, 1960, 271, 269, 853, 777, 13987, 779, 729, 267, 13974, 267, 513, 25091, 7071, 454, 1993, 519, 2797, 2219, 540, 513, 3735, 1733, 580, 281, 1294, 808, 269, 853, 777, 13987, 267, 2296, 1145, 543, 519, 5530, 540, 454, 303, 29176, 281, 634, 4317, 543, 11572, 23539, 540, 29527, 31661, 518, 267, 11062, 267, 476, 1960, 275, 269, 2051, 4802, 328, 779, 1071, 2246, 23482, 2034, 1433, 267, 11338, 267, 27711, 29059, 585, 513, 1733, 580, 1935, 547, 519, 1353, 540, 454, 335, 29176, 281, 1294, 590, 269, 2051, 4802, 328, 267, 667, 269, 12736, 577, 543, 808, 269, 8738, 992, 267, 2334, 32201, 3163, 540, 15348, 2676, 268, 13495, 2401, 568, 9425, 22205, 547, 519, 2442, 4616, 540, 1686, 607, 9913, 281, 1294, 454, 300, 663, 2401, 267, 3778, 543, 2817, 5020, 269, 2051, 4802, 328, 568, 1447, 16614, 543, 1256, 2864, 14281, 676, 454, 7945, 2048, 21504, 535, 1380, 685, 281, 2051, 4802, 328, 267, 2296, 623, 6814, 267, 476, 273, 563, 268, 13495, 2401, 267, 3778, 543, 2817, 5020, 563, 268, 898, 568, 5310, 4143, 602, 2051, 4802, 328, 779, 1101, 2835, 941, 593, 606, 2038, 3703, 1914, 6048, 543, 454, 333, 12078, 10601, 18765, 540, 513, 2797, 2257, 267, 543, 602, 789, 6700, 972, 729, 454, 31138, 993, 1170, 609, 519, 20440, 547, 2491, 1514, 1272, 538, 2474, 1305, 676, 513, 2413, 626, 2257, 563, 8450, 590, 269, 2051, 4802, 328, 267, 27565, 1143, 543, 24205, 281, 700, 11053, 269, 20122, 5264, 543, 11572, 21261, 538, 454, 8777, 1633, 267, 476, 6642, 271, 1700, 4489, 275, 267, 11062, 267, 476, 3192, 280, 282, 543, 2051, 4802, 328, 267, 12736, 577, 543, 8738, 992, 267, 2334, 32201, 454, 16631, 540, 15348, 269, 898, 568, 5310, 4143, 1932, 602, 853, 777, 13987, 779, 1101, 1433, 267, 799, 3459, 607, 513, 454, 4777, 28118, 5098, 24892, 676, 2051, 4802, 328, 267, 15225, 513, 2312, 29059, 585, 29527, 31661, 518, 779, 3801, 454, 1729, 9718, 513, 1733, 24513, 880, 543, 3140, 1935, 547, 519, 1353, 540, 6214, 538, 519, 3068, 540, 519, 4473, 454, 1993, 971, 2413, 626, 2257, 269, 6423, 853, 777, 13987, 267, 2296, 1145, 543, 519, 5530, 540, 15348, 563, 268, 667, 269, 1280, 15816, 267, 670, 2541, 779, 11096, 28441, 15348, 267, 11062, 267, 476, 3192, 276, 281, 476, 10219, 1700, 10844, 563, 268, 595, 269, 570, 11035, 267, 3213, 2075, 542, 267, 13317, 267, 543, 3864, 2276, 267, 476, 31275, 1700, 1960, 271, 267, 11062, 267, 10790, 267, 476, 1960, 273, 563, 268, 2422, 995, 7650, 338, 1331, 681, 269, 12672, 7322, 267, 634, 10163, 31382, 540, 4317, 543, 11572, 7869, 2676, 24589, 14702, 267, 476, 3192, 277, 282, 543, 645, 269, 674, 599, 267, 12634, 13898, 540, 4317, 3163, 267, 10228, 267, 476, 1960, 277, 563, 268, 6423, 853, 777, 13987, 267, 11572, 25827, 338, 563, 268, 4935, 267, 519, 1134, 8153, 7521, 936, 2436, 610, 711, 2239, 568, 28706, 2847, 9407, 1472, 519, 3390, 540, 2436, 610, 711, 2239, 1223, 581, 15849, 23624, 547, 513, 14553, 21465, 610, 513, 8720, 18721, 1106, 540, 7778, 2404, 609, 519, 2067, 9443, 269, 6423, 267, 538, 1880, 267, 519, 5929, 4661, 602, 2239, 568, 513, 11516, 16408, 610, 9864, 4528, 540, 519, 9930, 1670, 1673, 9254, 21063, 1106, 540, 7778, 267, 607, 1336, 538, 595, 269, 670, 11391, 601, 267, 2048, 763, 9577, 540, 4937, 16572, 538, 3778, 8730, 4750, 540, 13898, 476, 4375, 267, 476, 3707, 273, 281, 476, 3374, 1700, 4366, 269, 1280, 513, 2489, 2272, 540, 519, 7521, 267, 1294, 631, 269, 32298, 267, 2048, 15008, 267, 15486, 267, 543, 15147, 532, 16572, 8730, 3778, 543, 7869, 476, 1839, 267, 476, 2735, 277, 267, 476, 6246, 1700, 6872, 563, 268, 10765, 5717, 540, 2239, 1331, 631, 269, 2142, 341, 597, 267, 2048, 23208, 19247, 267, 28477, 454, 20329, 1108, 267, 543, 21931, 8730, 11096, 28441, 4112, 32590, 476, 274, 267, 476, 1220, 271, 281, 476, 13923, 1700, 6924, 282, 808, 269, 19839, 518, 2676, 8072, 301, 1551, 894, 543, 5450, 534, 1551, 894, 538, 519, 14716, 540, 519, 8682, 8730, 538, 631, 269, 12113, 337, 926, 543, 681, 563, 306, 1181, 6199, 267, 32308, 267, 8682, 18221, 281, 4706, 7186, 543, 4886, 267, 1715, 3840, 267, 476, 1960, 279, 281, 476, 28143, 1700, 4029, 282, 589, 269, 4236, 19128, 549, 267, 18868, 538, 11059, 281, 2271, 30102, 29007, 607, 513, 13216, 3590, 267, 11062, 267, 10790, 267, 476, 1960, 271, 282, 543, 623, 269, 681, 1054, 267, 2048, 301, 1551, 894, 19247, 281, 634, 8865, 540, 3778, 8730, 3778, 543, 7869, 476, 2767, 267, 476, 2735, 279, 281, 476, 272, 1700, 1724, 563, 268, 6423, 267, 585, 6628, 267, 623, 269, 13495, 2401, 267, 2048, 2108, 305, 864, 892, 543, 968, 301, 566, 892, 538, 11068, 13305, 1112, 20187, 23539, 8730, 538, 590, 563, 17686, 7236, 267, 681, 269, 1548, 3467, 543, 645, 269, 8479, 267, 32308, 267, 3778, 267, 15215, 267, 543, 9177, 281, 3703, 454, 4504, 21526, 3778, 267, 476, 11260, 271, 1700, 4198, 271, 267, 11062, 267, 476, 1220, 271, 281, 476, 23470, 1700, 4510, 563, 268, 2201, 12105, 6386, 538, 519, 13524, 2540, 267, 1294, 2523, 808, 269, 8738, 992, 267, 12472, 454, 663, 5980, 281, 589, 5530, 538, 16972, 4317, 7869, 267, 11062, 267, 476, 3422, 277, 269, 1280, 741, 16982, 538, 454, 2662, 580, 2351, 25086, 267, 1294, 808, 269, 8738, 992, 267, 1733, 12127, 543, 8644, 5644, 281, 8033, 8462, 543, 7827, 538, 454, 12626, 11572, 23539, 267, 10228, 267, 476, 2735, 279, 563, 268, 1280, 606, 1383, 540, 519, 7941, 1063, 4143, 2035, 540, 5389, 267, 1294, 631, 269, 2142, 341, 597, 267, 2048, 4002, 454, 9199, 1288, 8730, 5274, 26320, 476, 1724, 267, 476, 1220, 271, 281, 476, 2764, 1700, 7871, 282, 543, 645, 269, 31530, 18255, 523, 267, 2048, 9199, 1288, 267, 13206, 527, 267, 543, 4317, 454, 11328, 9146, 281, 589, 15863, 547, 4460, 2142, 341, 597, 8730, 5274, 26320, 476, 1691, 267, 476, 1220, 272, 281, 476, 10482, 1700, 1626, 563, 268, 594, 4126, 602, 519, 1543, 540, 2048, 2784, 673, 2351, 6291, 685, 786, 581, 2312, 689, 1018, 814, 8854, 1354, 543, 1018, 5205, 269, 1280, 513, 10952, 8878, 540, 930, 540, 922, 3056, 4798, 267, 1294, 631, 269, 2142, 341, 597, 267, 634, 20603, 540, 519, 3778, 540, 14313, 267, 11062, 267, 476, 1960, 280, 563, 268, 476, 866, 269, 595, 325, 269, 681, 269, 670, 1168, 2581, 267, 634, 11595, 12752, 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 ]
[ 1773, 1824, 666, 581, 3728, 19550, 267, 2653, 268, 4707, 267, 6335, 344, 267, 22150, 267, 6422, 267, 14845, 267, 29345, 3101, 2987, 7308, 2173, 1497, 267, 610, 1022, 4999, 23476, 269, 1452, 4930, 786, 948, 596, 723, 606, 3312, 4729, 602, 27605, 519, 5467, 2059, 912, 293, 2109, 10671, 2231, 18366, 570, 3290, 543, 4655, 616, 2556, 585, 513, 678, 633, 1154, 4729, 269, 589, 1915, 779, 2620, 13821, 2154, 9465, 547, 7753, 1354, 519, 1650, 568, 17251, 563, 1692, 547, 3503, 606, 22731, 18140, 3798, 6002, 1413, 585, 4195, 267, 3312, 2984, 269, 11020, 10445, 532, 2093, 786, 948, 1020, 4277, 4729, 23538, 543, 2057, 25718, 824, 9089, 610, 2110, 2984, 563, 1805, 800, 15236, 6435, 25397, 1773, 1824, 543, 4427, 30831, 2422, 1650, 15236, 543, 6429, 24096, 547, 1832, 13602, 543, 1016, 30831, 2786, 267, 543, 2285, 596, 513, 2898, 3613, 800, 2070, 540, 707, 3209, 269, 3619, 2417, 543, 3950, 1915, 2208, 543, 533, 5217, 563, 8794, 18140, 3828, 626, 9198, 2209, 1879, 5675, 513, 23397, 2052, 513, 2780, 24378, 4729, 6335, 1982, 1039, 930, 4195, 4655, 543, 533, 11170, 9579, 547, 707, 5856, 779, 1532, 6674, 539, 1650, 286, 8786, 267, 952, 1031, 609, 930, 1455, 2631, 563, 1692, 547, 18140, 543, 3503, 513, 23397, 1280, 5830, 945, 899, 547, 1544, 741, 2984, 267, 543, 4061, 711, 991, 607, 1082, 2101, 26941, 267, 519, 16176, 4148, 820, 6396, 568, 513, 1390, 1900, 8386, 9912, 1259, 547, 2328, 513, 3209, 563, 5522, 582, 267, 27484, 267, 10886, 267, 20429, 9050, 1898, 2609, 540, 5708, 1107, 4729, 267, 6249, 267, 18572, 543, 5639, 1107, 616, 5941, 676, 9375, 14880, 589, 269, 23821, 710, 563, 20373, 267, 15511, 267, 21931, 1323, 2653, 1259, 547, 3313, 952, 707, 3209, 610, 2110, 1650, 568, 7059, 1063, 5188, 267, 6609, 543, 2239, 267, 7132, 930, 4388, 593, 28303, 952, 596, 991, 873, 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 ]
[ 4259, 519, 2339, 585, 6217, 711, 1447, 982, 476, 272, 1554, 689, 519, 4266, 519, 1060, 568, 19429, 543, 6039, 563, 274, 269, 2353, 2798, 543, 8128, 538, 1489, 540, 519, 21936, 585, 1060, 540, 3110, 29342, 24402, 4927, 581, 6039, 543, 19429, 693, 519, 942, 540, 519, 25937, 540, 519, 21936, 269, 634, 21991, 12460, 4927, 4196, 543, 3758, 513, 2132, 543, 513, 3210, 547, 519, 21936, 518, 779, 2798, 543, 8128, 1369, 476, 1015, 2395, 689, 519, 2256, 18967, 540, 513, 21936, 585, 513, 1060, 540, 3110, 29342, 24402, 1759, 593, 16957, 1616, 540, 21483, 2014, 610, 6382, 4101, 519, 5480, 779, 2924, 610, 16278, 547, 8399, 547, 519, 4693, 540, 513, 7803, 5279, 269, 769, 18659, 896, 1016, 7611, 476, 273, 267, 519, 21991, 12460, 949, 4196, 543, 3758, 513, 2132, 543, 513, 3210, 547, 519, 21936, 518, 779, 2798, 543, 8128, 538, 1930, 5480, 693, 519, 942, 8068, 585, 519, 6217, 593, 1022, 824, 1060, 540, 3110, 29342, 24402, 1305, 585, 6217, 538, 835, 1554, 563, 275, 269, 634, 5480, 27680, 945, 3217, 1524, 782, 519, 21981, 543, 18659, 540, 519, 16861, 6217, 1590, 267, 1369, 476, 1428, 2395, 1310, 519, 24769, 814, 1044, 4371, 547, 2626, 538, 519, 8664, 5480, 267, 2347, 519, 13995, 543, 25937, 540, 519, 16861, 6217, 13973, 269, 16270, 25937, 519, 13973, 267, 519, 5480, 27680, 610, 2594, 518, 786, 5469, 519, 8878, 18607, 543, 21991, 12460, 945, 17411, 519, 16861, 6217, 563, 276, 269, 634, 5480, 949, 8831, 267, 585, 1434, 2014, 267, 519, 942, 547, 3758, 513, 21936, 269, 1403, 519, 16861, 6217, 13973, 568, 711, 19429, 693, 519, 942, 540, 519, 24769, 779, 3355, 818, 571, 9892, 267, 519, 5480, 4927, 1265, 1434, 2014, 585, 14178, 519, 942, 585, 519, 25937, 540, 519, 21936, 269, 589, 5428, 949, 3489, 606, 608, 851, 324, 1931, 689, 519, 5480, 3850, 585, 606, 10137, 952, 519, 16861, 31286, 616, 711, 2139, 1369, 476, 1691, 2395, 540, 519, 24769, 779, 3355, 5920, 269, 2353, 824, 3156, 547, 8831, 519, 476, 2641, 6377, 942, 1974, 1590, 1331, 3617, 5469, 547, 519, 21991, 5024, 18607, 269, 589, 23616, 1637, 1063, 519, 21991, 12460, 543, 519, 8878, 786, 3411, 823, 585, 3617, 5469, 585, 519, 5480, 547, 9886, 519, 10137, 563, 277, 269, 7102, 1060, 19429, 538, 513, 7803, 2013, 693, 519, 8664, 5480, 1377, 4927, 581, 8655, 547, 519, 1482, 8257, 1141, 519, 5817, 7803, 2013, 568, 19429, 269, 1403, 1100, 971, 3105, 7803, 2013, 6818, 267, 519, 1060, 4927, 581, 14477, 8655, 547, 513, 8257, 563, 763, 2136, 2276, 10966, 7040, 585, 19549, 14821, 5301, 267, 814, 7150, 602, 606, 10654, 15549, 8547, 593, 21483, 2014, 17697, 569, 11438, 609, 621, 519, 3908, 6392, 547, 4283, 513, 23029, 538, 799, 519, 14353, 2729, 950, 972, 568, 2601, 547, 3494, 519, 14353, 568, 1369, 1848, 9796, 2023, 642, 269, 1715, 3840, 267, 476, 275, 3393, 772, 2529, 269, 476, 6872, 274, 267, 476, 2568, 274, 267, 476, 1911, 590, 269, 595, 339, 269, 476, 15389, 272, 267, 476, 8287, 700, 269, 3798, 269, 476, 273, 323, 476, 277, 4375, 630, 2735, 271, 994, 269, 769, 9796, 2023, 267, 519, 7040, 7074, 602, 968, 1415, 3604, 538, 519, 703, 6350, 4369, 540, 13366, 547, 3406, 543, 13366, 547, 10654, 616, 8806, 3283, 540, 4110, 2864, 982, 2186, 1848, 16740, 269, 693, 476, 6812, 280, 269, 9747, 267, 896, 5313, 1876, 267, 513, 3406, 15549, 949, 11863, 10492, 519, 6392, 547, 10654, 513, 14353, 952, 21483, 2014, 3029, 1282, 519, 1876, 995, 3406, 269, 6423, 10067, 331, 6199, 642, 269, 22895, 10045, 267, 476, 280, 6924, 674, 269, 273, 323, 476, 6507, 273, 267, 476, 278, 4037, 630, 279, 628, 19449, 269, 476, 1960, 273, 994, 269, 19452, 267, 606, 10654, 15549, 949, 11863, 10492, 547, 28958, 2963, 4362, 607, 513, 1267, 540, 513, 1876, 995, 10654, 269, 6423, 2136, 2276, 642, 269, 623, 745, 8636, 267, 476, 3393, 279, 674, 269, 274, 323, 476, 5325, 278, 267, 476, 21878, 268, 11025, 630, 277, 628, 19449, 269, 476, 1220, 277, 994, 263, 935, 6984, 602, 11056, 540, 606, 10654, 15549, 20582, 23069, 540, 2963, 1336, 538, 3791, 5428, 779, 1753, 1282, 8825, 30908, 1916, 16729, 9796, 2023, 543, 922, 28738, 344, 267, 513, 5313, 5480, 5063, 4371, 602, 968, 1492, 1615, 340, 766, 540, 519, 10654, 15549, 1547, 1547, 1547, 14944, 1149, 1022, 7834, 1719, 538, 17053, 2520, 565, 6327, 1239, 1848, 769, 556, 12829, 7483, 2983, 565, 6327, 4578, 13335, 454, 269, 634, 5480, 2601, 539, 602, 10478, 585, 513, 14353, 538, 1010, 1753, 568, 2484, 811, 703, 28424, 982, 5275, 2520, 565, 6327, 1239, 689, 513, 14353, 779, 1591, 6049, 267, 543, 952, 519, 2136, 2276, 10966, 7040, 814, 1336, 519, 811, 703, 28424, 1753, 3406, 547, 581, 10257, 267, 1287, 513, 1447, 703, 28424, 1591, 6049, 1239, 3406, 568, 15983, 10257, 269, 6423, 849, 6008, 698, 12245, 642, 269, 2136, 2276, 267, 476, 26493, 772, 2529, 269, 476, 14225, 267, 476, 20969, 562, 269, 278, 267, 476, 6200, 590, 269, 595, 339, 269, 476, 13932, 273, 267, 476, 6924, 700, 269, 3798, 269, 476, 273, 323, 476, 4343, 630, 2735, 272, 994, 263, 2108, 10303, 606, 10654, 15549, 2278, 3278, 519, 7128, 547, 14145, 633, 513, 1268, 540, 1010, 15698, 267, 621, 8209, 849, 2278, 3278, 513, 3908, 12289, 540, 602, 1268, 779, 7834, 1719, 950, 621, 568, 2556, 547, 10654, 1864, 538, 1010, 1753, 1848, 1916, 2304, 10654, 15549, 602, 1175, 5809, 519, 2168, 12289, 540, 519, 1753, 849, 1175, 5809, 513, 3059, 12289, 883, 513, 24769, 779, 1591, 6049, 585, 519, 3483, 540, 29466, 519, 24769, 269, 630, 655, 3508, 529, 3773, 264, 968, 763, 19549, 14821, 3112, 11063, 4027, 547, 2520, 565, 6327, 1239, 2404, 609, 513, 24769, 779, 1591, 6049, 1247, 27102, 971, 4027, 1996, 513, 2168, 12289, 540, 1010, 1753, 267, 607, 519, 8545, 568, 13886, 547, 519, 5207, 1931, 540, 8878, 1848, 6423, 13575, 267, 2725, 529, 2401, 642, 269, 3557, 267, 476, 9873, 19607, 269, 476, 29344, 630, 1001, 275, 994, 288, 7128, 11464, 568, 711, 25964, 585, 7301, 10654, 610, 26646, 950, 646, 6411, 5083, 340, 656, 547, 513, 15549, 602, 568, 4570, 593, 922, 3068, 269, 5899, 2426, 642, 269, 18722, 267, 476, 276, 3066, 623, 269, 273, 323, 476, 15946, 271, 630, 300, 2632, 269, 476, 3192, 276, 994, 269, 6423, 6601, 526, 601, 642, 269, 6019, 540, 623, 9874, 267, 476, 6795, 272, 623, 269, 273, 323, 476, 6507, 630, 288, 10961, 6993, 653, 269, 476, 3192, 280, 994, 282, 1849, 15199, 642, 269, 28711, 529, 267, 476, 6812, 273, 623, 269, 273, 323, 476, 27898, 630, 310, 1662, 6993, 653, 269, 476, 3192, 279, 994, 282, 808, 269, 1684, 1961, 344, 267, 476, 274, 7073, 32202, 4521, 19926, 476, 5655, 269, 1724, 693, 476, 5002, 268, 11011, 630, 3192, 278, 994, 269, 634, 1795, 6053, 4570, 15549, 2488, 519, 968, 29729, 2014, 610, 24134, 892, 585, 519, 10654, 267, 538, 519, 1482, 1259, 602, 606, 10654, 1500, 609, 21483, 2014, 568, 29341, 543, 711, 29829, 269, 6423, 670, 1716, 663, 14162, 642, 269, 4975, 540, 11412, 334, 267, 476, 9032, 19607, 269, 476, 275, 3066, 267, 476, 277, 4097, 623, 269, 273, 323, 476, 5780, 279, 630, 2735, 272, 994, 282, 23108, 591, 642, 269, 6019, 540, 18412, 267, 476, 9032, 19607, 269, 476, 10441, 267, 476, 27698, 623, 269, 273, 323, 476, 5952, 630, 2735, 272, 994, 282, 595, 1638, 2581, 642, 269, 4975, 540, 3212, 18319, 267, 476, 6812, 275, 623, 269, 273, 323, 476, 12893, 277, 630, 288, 10961, 269, 476, 3192, 279, 994, 2252, 513, 15549, 568, 9783, 585, 707, 10654, 621, 1797, 519, 10470, 723, 17101, 7128, 10492, 547, 10654, 596, 693, 20471, 269, 898, 849, 1797, 972, 568, 21483, 2014, 547, 14353, 707, 9525, 609, 513, 6760, 269, 654, 1551, 1218, 616, 1759, 593, 2220, 1941, 6898, 610, 3413, 573, 822, 1080, 689, 7128, 10492, 543, 666, 581, 9783, 585, 5634, 1102, 10330, 267, 971, 607, 6808, 19374, 610, 10002, 4660, 6808, 17914, 563, 21691, 823, 10355, 3406, 585, 31268, 609, 3765, 12047, 6756, 832, 267, 855, 538, 21688, 3415, 2665, 454, 267, 7128, 949, 8362, 3406, 585, 596, 267, 543, 949, 1256, 946, 707, 1591, 7483, 547, 12398, 596, 269, 1411, 1058, 1491, 1022, 14222, 15549, 12517, 267, 21688, 3415, 610, 3765, 12047, 6756, 528, 269, 1684, 711, 11716, 513, 15549, 269, 898, 786, 711, 979, 2476, 269, 1684, 711, 2196, 689, 519, 7128, 610, 3801, 547, 8038, 267, 2523, 18368, 269, 1656, 952, 596, 3442, 547, 2490, 3054, 538, 267, 2743, 609, 513, 20098, 30988, 7803, 8878, 15818, 454, 763, 15549, 786, 3251, 538, 1198, 2394, 621, 568, 27416, 610, 844, 14414, 676, 513, 25960, 269, 769, 20098, 30988, 267, 596, 1590, 798, 835, 540, 519, 1739, 547, 8207, 513, 7803, 15549, 912, 272, 4700, 670, 790, 513, 18019, 20098, 30988, 7803, 8878, 15818, 585, 6351, 269, 1411, 949, 849, 581, 6719, 676, 519, 5398, 4347, 2658, 779, 8433, 454, 273, 4700, 1403, 596, 3442, 547, 2099, 3054, 267, 596, 666, 8430, 513, 5480, 5920, 693, 519, 20098, 30988, 10456, 7040, 22518, 21436, 6796, 6885, 269, 1403, 596, 3442, 713, 4781, 5225, 581, 2062, 8705, 2740, 602, 596, 666, 581, 18486, 693, 519, 1330, 628, 1787, 267, 2094, 596, 723, 606, 3742, 15549, 856, 585, 707, 10654, 267, 1498, 713, 10355, 4386, 621, 568, 1869, 513, 1981, 540, 799, 596, 991, 547, 5660, 563, 274, 4700, 8409, 945, 2661, 856, 540, 1533, 543, 798, 711, 723, 513, 1857, 1219, 2658, 610, 513, 7803, 8878, 15818, 949, 6494, 513, 4484, 547, 519, 9794, 31392, 513, 11291, 540, 519, 15549, 269, 2142, 2386, 547, 1331, 707, 2013, 1297, 543, 13875, 519, 7662, 547, 912, 9617, 823, 7040, 267, 20098, 30988, 24104, 1222, 22518, 19475, 10406, 454, 1220, 11066, 22971, 267, 476, 273, 526, 4469, 3233, 454, 303, 20166, 269, 13340, 476, 4649, 273, 276, 1556, 454, 299, 553, 30988, 267, 715, 309, 476, 8660, 272, 4649, 268, 25172, 272, 454, 7775, 674, 1314, 547, 630, 3583, 273, 264, 476, 4343, 273, 268, 2412, 278, 279, 563, 2252, 596, 1589, 596, 949, 723, 513, 15549, 856, 585, 707, 10654, 267, 621, 568, 5227, 547, 5077, 609, 513, 20098, 30988, 15818, 269, 898, 949, 581, 2009, 547, 2638, 585, 11562, 1218, 2228, 610, 676, 6049, 269, 1411, 3580, 1616, 707, 15818, 547, 2638, 593, 707, 15773, 543, 18973, 540, 3681, 585, 3478, 519, 15549, 27416, 610, 844, 14414, 563, 7883, 547, 4975, 540, 20098, 30988, 10456, 15794, 531, 654, 1551, 656, 9612, 630, 31261, 274, 7456, 553, 557, 326, 553, 928, 341, 3385, 10993, 270, 1168, 1551, 656, 19972, 1575, 13045, 264, 547, 2638, 585, 11562, 1218, 9783, 676, 20098, 30988, 27391, 531, 7040, 269, 1411, 3580, 991, 547, 4283, 519, 1268, 779, 2012, 543, 1514, 3354, 1297, 563, 7883, 547, 20098, 30988, 24104, 1222, 10456, 7040, 19475, 769, 11431, 630, 20393, 557, 326, 553, 3286, 823, 322, 22620, 30994, 264, 547, 2638, 585, 11562, 1218, 9783, 676, 20098, 30988, 10456, 7040, 269, 7427, 519, 8846, 2228, 269, 0, 763, 2136, 2276, 568, 4867, 6849, 513, 3395, 6161, 936, 513, 14686, 17343, 602, 568, 6385, 10825, 538, 3782, 6703, 563, 763, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 814, 4857, 519, 17343, 607, 968, 290, 663, 5866, 589, 9766, 2223, 849, 1634, 607, 968, 290, 563, 4768, 529, 2223, 799, 568, 513, 1826, 540, 13803, 602, 666, 2014, 3978, 4576, 538, 6375, 665, 20234, 668, 2213, 2043, 971, 607, 2860, 2550, 563, 763, 17343, 568, 2352, 547, 13209, 607, 922, 2589, 616, 2147, 547, 8611, 543, 669, 1571, 267, 543, 621, 1419, 4991, 3765, 10972, 30938, 563, 6097, 547, 3220, 563, 11990, 17659, 2917, 267, 519, 2564, 8689, 540, 11763, 3676, 693, 7101, 344, 5753, 779, 6413, 267, 2635, 2043, 609, 513, 10257, 4761, 1062, 616, 12691, 547, 5884, 689, 519, 17343, 563, 4913, 267, 585, 1346, 945, 616, 6375, 665, 20234, 668, 2213, 267, 519, 17343, 666, 581, 1272, 18446, 563, 763, 15509, 568, 7255, 827, 519, 4028, 3262, 540, 15443, 5866, 589, 9766, 2066, 519, 2197, 267, 799, 568, 5488, 982, 4397, 563, 2026, 540, 713, 1032, 267, 972, 723, 1044, 476, 736, 4080, 2665, 540, 519, 17343, 267, 1524, 689, 2063, 1032, 779, 476, 2568, 2665, 563, 289, 2784, 2917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 798, 4247, 899, 10992, 544, 5661, 267, 6947, 547, 2228, 2575, 267, 10004, 1154, 998, 2228, 3190, 12310, 267, 3092, 269, 693, 513, 2362, 4950, 3432, 563, 268, 898, 2306, 519, 2951, 1454, 10930, 543, 6325, 912, 288, 1164, 3432, 31923, 2337, 538, 519, 13345, 540, 519, 4359, 4066, 602, 616, 5921, 547, 1118, 707, 2951, 10930, 543, 10375, 269, 1280, 1383, 267, 621, 2337, 519, 12445, 1062, 547, 1265, 519, 1655, 8905, 593, 519, 4493, 540, 1483, 6066, 6808, 2175, 267, 25887, 519, 9920, 585, 513, 5732, 13818, 3871, 547, 2057, 26301, 267, 30397, 519, 6808, 13685, 16425, 267, 556, 709, 5052, 6808, 538, 3210, 547, 4365, 18002, 610, 4155, 2175, 267, 3947, 1483, 6066, 6808, 543, 4365, 5359, 547, 17631, 267, 3092, 563, 268, 898, 4679, 7759, 11429, 593, 2527, 18302, 912, 9743, 16226, 1164, 18286, 31923, 538, 1857, 6472, 899, 21772, 267, 1016, 1811, 267, 14884, 267, 3092, 269, 814, 2799, 741, 7759, 11429, 593, 513, 1360, 1804, 1377, 269, 901, 2333, 2337, 538, 1818, 519, 2486, 1604, 7888, 269, 634, 8244, 540, 31923, 568, 513, 2101, 2601, 602, 513, 1804, 1297, 540, 1004, 616, 1631, 15175, 547, 1857, 6283, 689, 4357, 6472, 269, 898, 3976, 2640, 519, 2486, 676, 4227, 2011, 5533, 607, 1134, 607, 6808, 20316, 563, 32046, 593, 2904, 476, 1240, 628, 476, 1001, 279, 476, 4905, 281, 2767, 269, 7348, 539, 476, 20542, 2053, 269, 0, 303, 523, 564, 1674, 4152, 540, 1357, 3156, 568, 513, 11191, 540, 6285, 593, 513, 1062, 547, 2744, 1569, 547, 6213, 1239, 543, 3313, 2436, 519, 3498, 568, 5150, 563, 763, 3804, 540, 1357, 3498, 21774, 4152, 568, 547, 3713, 3354, 16426, 4611, 689, 538, 31261, 1646, 2853, 538, 519, 1374, 267, 8193, 543, 13629, 540, 3301, 610, 7270, 563, 288, 1357, 3498, 21774, 1449, 3335, 2882, 912, 268, 14871, 17452, 4152, 547, 13182, 602, 6589, 3112, 14207, 1239, 3248, 268, 10495, 540, 1357, 3156, 585, 20924, 543, 16426, 971, 607, 3444, 21935, 7097, 532, 630, 311, 7704, 11850, 268, 30487, 519, 5150, 12122, 540, 1357, 26292, 543, 7114, 2934, 602, 949, 2014, 16426, 3248, 268, 5680, 7746, 543, 6538, 7746, 3354, 4879, 269, 0, 19489, 24315, 19006, 2340, 24844, 19836, 5058, 744, 7473, 5990, 645, 12239, 5442, 12601, 28475, 8863, 6579, 291, 454, 2710, 596, 723, 513, 1126, 596, 3494, 568, 1565, 2630, 1010, 610, 1200, 1761, 888, 6701, 596, 13110, 540, 3843, 547, 18663, 707, 1126, 547, 798, 6780, 610, 8011, 538, 1153, 888, 3674, 707, 2178, 2914, 2683, 1126, 6117, 596, 21173, 888, 3086, 596, 666, 912, 268, 6258, 547, 3605, 543, 5000, 1142, 1126, 779, 1565, 9342, 563, 268, 17546, 707, 1453, 875, 547, 581, 15400, 8746, 6267, 563, 268, 7763, 10675, 1256, 519, 1034, 26997, 610, 2178, 2914, 2683, 1126, 543, 27556, 519, 7440, 1354, 789, 2253, 563, 268, 634, 16200, 8862, 2683, 4132, 1107, 17073, 14173, 454, 268, 1358, 2052, 1406, 2353, 5620, 5084, 291, 454, 268, 1411, 2052, 1406, 5269, 2725, 630, 3719, 594, 2052, 2142, 6431, 340, 12184, 994, 268, 32695, 547, 2659, 4132, 779, 11334, 454, 268, 31054, 27834, 454, 268, 7763, 22899, 2659, 5753, 547, 6875, 932, 1618, 540, 4256, 13574, 11773, 454, 268, 11150, 585, 25595, 6840, 543, 18014, 619, 454, 268, 14400, 27834, 9669, 454, 19868, 538, 609, 707, 1126, 547, 960, 998, 606, 1367, 1565, 6163, 9043, 267, 1374, 513, 10531, 1353, 1544, 267, 543, 1020, 2994, 585, 6780, 267, 4255, 267, 942, 2359, 267, 543, 3478, 2059, 609, 3610, 563, 268, 4841, 14171, 932, 1618, 540, 4256, 13574, 11773, 454, 268, 15775, 13966, 609, 2659, 11334, 454, 268, 15775, 2659, 2920, 8625, 1107, 5384, 5004, 1299, 9257, 454, 268, 5808, 20126, 14581, 888, 268, 4530, 11773, 0, 2467, 814, 1044, 4986, 855, 1659, 995, 3377, 827, 519, 11991, 13044, 5829, 9505, 6658, 540, 1977, 3506, 269, 5530, 1310, 1353, 543, 513, 2527, 540, 23278, 4973, 2963, 1397, 519, 2800, 2944, 676, 519, 7142, 9376, 23957, 563, 21953, 811, 1382, 267, 5950, 538, 5130, 267, 11498, 519, 1989, 574, 9183, 269, 589, 13849, 20400, 540, 476, 5655, 2090, 2066, 476, 1428, 2477, 12290, 519, 9588, 540, 1565, 22907, 1282, 519, 6855, 267, 543, 9060, 968, 320, 8101, 2949, 1565, 17211, 2507, 6518, 21256, 2038, 538, 519, 6855, 543, 26251, 936, 942, 269, 4804, 22907, 616, 3226, 1804, 1851, 1453, 689, 1970, 8739, 20300, 10080, 3034, 763, 2079, 9060, 519, 9271, 616, 3677, 538, 2979, 982, 538, 2542, 543, 538, 1647, 13867, 2477, 3448, 547, 1164, 13867, 2477, 269, 634, 1565, 3356, 540, 1153, 27070, 1453, 30281, 15186, 1282, 519, 6855, 543, 2949, 267, 1053, 4503, 827, 476, 3374, 9077, 540, 513, 1153, 1032, 779, 4502, 540, 1565, 269, 2290, 540, 519, 2090, 3769, 538, 519, 2079, 1336, 602, 519, 3328, 1857, 1153, 2875, 538, 3791, 3446, 998, 21632, 3446, 4503, 3368, 513, 1032, 540, 2979, 1565, 543, 513, 10116, 540, 513, 1032, 538, 2542, 563, 10521, 2477, 267, 13785, 543, 16862, 267, 7307, 547, 2057, 519, 30331, 10052, 269, 16528, 1453, 4810, 1100, 1565, 2530, 1317, 789, 941, 711, 16271, 547, 2527, 1153, 5008, 999, 1282, 519, 6855, 269, 2755, 16862, 1705, 723, 5008, 999, 267, 621, 568, 17695, 1242, 602, 519, 3668, 540, 1565, 2530, 1223, 581, 11911, 547, 519, 2197, 779, 968, 516, 28754, 3059, 5989, 609, 16862, 1373, 835, 540, 519, 6207, 1283, 1606, 14537, 3464, 538, 3059, 1983, 267, 29577, 14479, 267, 543, 3059, 1857, 2533, 538, 2342, 3034, 5194, 2487, 1353, 676, 519, 4659, 540, 12409, 5525, 685, 3427, 17240, 572, 19937, 8761, 602, 827, 3368, 519, 1053, 538, 519, 772, 2529, 269, 9411, 1153, 538, 5181, 476, 1708, 273, 2630, 3446, 1377, 538, 693, 2547, 835, 1641, 563, 763, 4681, 689, 519, 3427, 17240, 572, 19937, 616, 1360, 2147, 547, 519, 2164, 540, 513, 5619, 16432, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 538, 4989, 476, 1708, 273, 269, 4340, 547, 519, 15509, 267, 513, 5619, 540, 25422, 11347, 1857, 3506, 4951, 602, 476, 5392, 260, 540, 1053, 3459, 519, 476, 1708, 273, 268, 2537, 1153, 1032, 3297, 3446, 1377, 538, 693, 2547, 835, 1641, 269, 634, 6871, 568, 3648, 2362, 3379, 547, 513, 6093, 840, 1790, 663, 2438, 1032, 267, 538, 799, 1175, 936, 513, 3791, 540, 1053, 616, 3297, 563, 763, 3983, 3377, 3884, 1406, 782, 827, 19174, 267, 2705, 563, 763, 3427, 17240, 572, 19937, 849, 4967, 602, 811, 982, 476, 3199, 260, 540, 772, 2529, 269, 1857, 3506, 4080, 968, 560, 2863, 539, 8965, 543, 8739, 655, 10899, 1646, 892, 1851, 1053, 1317, 540, 519, 5046, 268, 866, 6855, 269, 4746, 267, 476, 3583, 260, 540, 1857, 3506, 4718, 4679, 538, 1053, 5275, 2790, 1072, 2533, 2094, 519, 1376, 540, 519, 6855, 267, 476, 6321, 260, 540, 3506, 4810, 606, 2333, 538, 968, 5035, 3336, 21463, 689, 2875, 13817, 2265, 2223, 543, 972, 729, 513, 476, 5392, 260, 2333, 538, 968, 992, 323, 1465, 3544, 540, 519, 4928, 3034, 4462, 1652, 1919, 1689, 538, 513, 31657, 543, 1565, 9271, 616, 20328, 267, 519, 2197, 779, 1699, 7693, 540, 918, 268, 1321, 1053, 786, 1332, 909, 547, 581, 1447, 13473, 267, 2539, 1606, 330, 2683, 267, 543, 1447, 11327, 4079, 269, 3131, 18238, 12390, 639, 515, 330, 267, 513, 18628, 2160, 30168, 267, 789, 786, 7118, 476, 276, 269, 277, 260, 1447, 936, 519, 1576, 540, 741, 2729, 982, 1053, 13473, 1175, 1354, 519, 6855, 269, 3220, 269, 12390, 639, 515, 330, 15387, 602, 519, 9271, 1223, 2698, 1269, 2764, 18265, 936, 519, 1964, 540, 713, 2540, 267, 4946, 267, 968, 763, 2804, 3790, 540, 519, 1565, 9271, 786, 32761, 1870, 4783, 9271, 3034, 3080, 11972, 1267, 540, 519, 1153, 5008, 999, 568, 602, 1082, 3214, 616, 711, 13059, 547, 741, 2199, 1857, 3506, 269, 769, 1249, 267, 772, 2529, 269, 2229, 24507, 3506, 723, 4503, 1134, 936, 513, 2929, 1053, 2094, 519, 1376, 540, 519, 6855, 267, 543, 1082, 3506, 616, 14656, 607, 513, 1267, 269, 4635, 1239, 689, 519, 772, 2529, 269, 4065, 4972, 267, 634, 9931, 9335, 4750, 5359, 602, 1857, 1153, 27350, 8593, 676, 811, 982, 476, 272, 269, 275, 2929, 1053, 547, 476, 5392, 269, 275, 2929, 18487, 1063, 2887, 476, 1001, 280, 543, 2887, 476, 1708, 271, 1107, 513, 7771, 540, 10199, 476, 274, 10065, 634, 11356, 8591, 602, 519, 1739, 1153, 1032, 267, 27350, 8959, 547, 2132, 547, 840, 1790, 663, 2438, 2157, 543, 7283, 10199, 6366, 563, 8489, 616, 519, 1053, 2469, 888, 31995, 27350, 538, 4357, 543, 22497, 3506, 1107, 799, 3335, 18423, 1930, 950, 2229, 3506, 941, 9505, 339, 1229, 1107, 568, 7700, 547, 519, 7771, 538, 2757, 1857, 1153, 27350, 563, 295, 2345, 1041, 532, 568, 1630, 4040, 267, 2348, 3592, 23060, 25422, 2094, 476, 1708, 271, 269, 634, 17227, 13163, 5359, 602, 1063, 476, 1001, 273, 543, 476, 1708, 271, 267, 519, 1297, 540, 32059, 3885, 7283, 11931, 693, 1472, 476, 274, 269, 274, 10065, 1809, 519, 2817, 5851, 4065, 3194, 4659, 5359, 602, 1282, 519, 476, 1708, 272, 268, 1708, 273, 1153, 1032, 267, 972, 941, 476, 274, 269, 13670, 2929, 18954, 539, 1053, 538, 519, 772, 2529, 269, 610, 827, 476, 277, 260, 540, 519, 2698, 563, 763, 6855, 849, 721, 22363, 538, 513, 1007, 5736, 540, 10316, 32059, 1107, 1141, 513, 2875, 3335, 22939, 513, 1554, 610, 1079, 538, 606, 12250, 4259, 543, 519, 1964, 540, 519, 942, 1565, 693, 1753, 563, 9827, 267, 1533, 4204, 1153, 3903, 3292, 616, 14027, 538, 13778, 2338, 269, 19578, 543, 18096, 723, 1175, 15748, 8471, 3903, 3292, 269, 3958, 267, 4557, 2829, 616, 575, 8960, 909, 547, 1039, 15366, 3903, 3292, 610, 2333, 741, 4540, 3283, 1010, 1032, 563, 763, 8988, 16298, 538, 782, 713, 568, 602, 1082, 3237, 723, 32570, 539, 547, 519, 1249, 602, 513, 835, 20695, 1922, 1080, 22433, 9769, 1242, 29904, 7806, 1242, 581, 1335, 1054, 1175, 949, 711, 723, 741, 1453, 779, 1655, 4690, 693, 2295, 269, 898, 779, 8909, 602, 621, 3576, 513, 2518, 6855, 1107, 711, 547, 2446, 9097, 1242, 13460, 1107, 547, 1205, 547, 713, 1448, 269, 1809, 1732, 3735, 982, 2760, 563, 299, 14019, 9995, 267, 513, 5449, 4928, 4116, 267, 568, 519, 7022, 540, 519, 1875, 17416, 4993, 11334, 25085, 618, 8416, 1107, 513, 1875, 12268, 16388, 267, 1875, 27791, 1895, 6131, 547, 3246, 3610, 543, 519, 2489, 1857, 609, 6325, 543, 7059, 1344, 827, 3318, 28930, 725, 543, 7158, 593, 3872, 2152, 269, 634, 5784, 4843, 1934, 616, 14553, 1010, 1378, 563, 27770, 632, 30825, 3081, 454, 17829, 18986, 1824, 945, 7142, 9633, 532, 1453, 1058, 581, 7142, 547, 5957, 13968, 782, 1554, 4948, 2394, 741, 4761, 1949, 616, 959, 14414, 563, 27770, 632, 30825, 3081, 454, 763, 1158, 11552, 21124, 2229, 267, 519, 6167, 3842, 519, 2622, 9063, 12609, 25944, 786, 946, 6013, 2481, 333, 6013, 543, 7194, 547, 6961, 602, 621, 779, 711, 741, 13337, 855, 23600, 585, 711, 1373, 28112, 2335, 673, 2614, 563, 14276, 1153, 1053, 941, 2907, 896, 704, 14127, 676, 1169, 2268, 1279, 1354, 519, 13044, 535, 5362, 1723, 269, 594, 6557, 20916, 547, 1589, 1022, 2417, 7771, 538, 2773, 1131, 711, 581, 30289, 547, 13044, 855, 547, 824, 2188, 1932, 3875, 547, 2446, 563, 1607, 729, 782, 18532, 267, 543, 4896, 945, 12034, 875, 3983, 621, 568, 543, 14659, 621, 729, 513, 968, 332, 626, 820, 892, 568, 2713, 538, 513, 5326, 1158, 563, 13825, 534, 642, 320, 3081, 454, 2005, 779, 3872, 552, 1872, 523, 923, 563, 7468, 10675, 267, 1612, 5255, 658, 543, 22497, 3506, 941, 711, 6806, 6155, 1005, 519, 726, 663, 2438, 269, 8262, 9983, 269, 8005, 4422, 547, 891, 3506, 286, 5753, 689, 6140, 8647, 1647, 267, 5580, 1647, 267, 543, 5580, 1362, 3885, 563, 763, 1857, 1153, 1053, 538, 4683, 2127, 616, 7361, 689, 4057, 267, 2324, 269, 663, 2539, 1647, 1362, 267, 14524, 531, 1920, 4559, 269, 4427, 18076, 1857, 3506, 4196, 519, 1647, 1362, 543, 24214, 513, 2370, 1732, 538, 519, 9740, 543, 1244, 24142, 2127, 267, 855, 711, 676, 1454, 563, 3383, 1018, 713, 1281, 568, 18290, 856, 519, 968, 1495, 525, 4275, 7632, 892, 543, 1875, 31794, 543, 5849, 602, 513, 5354, 540, 1346, 1053, 786, 711, 581, 3769, 538, 519, 5580, 3235, 3559, 976, 540, 519, 1514, 31324, 269, 634, 19888, 4275, 7632, 5884, 1762, 267, 538, 824, 1913, 563, 290, 10604, 814, 7166, 620, 582, 540, 5017, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2361, 540, 6189, 814, 2141, 1044, 693, 519, 10167, 540, 1148, 267, 2257, 267, 543, 2029, 269, 2060, 519, 4417, 540, 476, 274, 291, 14839, 267, 519, 2872, 814, 14754, 513, 17565, 6521, 538, 875, 16413, 1374, 267, 1459, 267, 543, 12497, 1125, 5656, 269, 901, 2029, 814, 711, 1152, 8476, 519, 8856, 540, 11265, 6272, 855, 849, 19117, 7817, 14245, 543, 13170, 3157, 563, 1103, 519, 2250, 267, 16413, 16941, 8185, 593, 25780, 543, 476, 273, 291, 12400, 547, 5968, 741, 2093, 269, 1452, 2409, 267, 4352, 17170, 267, 2451, 1454, 547, 519, 9345, 543, 7664, 267, 1419, 3056, 547, 21390, 543, 513, 7934, 1063, 519, 4056, 779, 5075, 543, 519, 7817, 779, 6788, 269, 476, 274, 291, 14839, 814, 10816, 3022, 713, 7934, 676, 3850, 16413, 547, 1711, 3076, 601, 833, 267, 1614, 8820, 11269, 540, 741, 6272, 1354, 1022, 2168, 960, 5956, 563, 763, 2640, 540, 476, 274, 291, 14839, 616, 32032, 269, 17616, 267, 621, 2636, 585, 513, 1732, 1620, 540, 8901, 3347, 1369, 519, 1374, 269, 11629, 338, 666, 4603, 609, 1114, 29282, 267, 2326, 267, 543, 8654, 2360, 3533, 543, 7561, 267, 3246, 7218, 609, 2789, 3681, 543, 7648, 547, 3442, 689, 269, 901, 8112, 5012, 547, 513, 811, 10319, 1935, 547, 1374, 267, 609, 7218, 1373, 3742, 5171, 538, 519, 3375, 6194, 1184, 563, 11101, 267, 476, 274, 291, 3631, 666, 581, 3362, 7471, 883, 5691, 4641, 5867, 267, 5356, 606, 15138, 1995, 602, 4422, 3564, 2757, 14245, 269, 1849, 1801, 666, 2048, 19769, 685, 998, 741, 2104, 5321, 610, 13646, 267, 7680, 519, 2230, 607, 952, 621, 941, 2907, 3710, 269, 901, 711, 1152, 2300, 2572, 7218, 855, 849, 2337, 538, 7114, 1761, 2152, 602, 949, 711, 581, 7805, 538, 476, 273, 291, 12400, 267, 7551, 4227, 519, 10171, 540, 14427, 2242, 1282, 4070, 563, 12234, 267, 476, 274, 291, 14839, 5713, 607, 513, 3532, 6725, 1907, 269, 7464, 10040, 9367, 543, 16413, 666, 13686, 741, 3785, 538, 513, 811, 2502, 543, 10853, 6073, 267, 19788, 9520, 543, 18046, 269, 1452, 32331, 666, 581, 3838, 2066, 3059, 5867, 267, 8757, 513, 9962, 5304, 543, 10451, 811, 1719, 563, 1103, 2474, 540, 519, 1374, 1184, 3294, 267, 476, 274, 323, 11904, 2895, 924, 19241, 584, 6665, 783, 529, 1512, 2426, 16881, 513, 811, 7471, 1935, 269, 898, 2636, 585, 15774, 5698, 1063, 16413, 267, 8030, 267, 543, 4070, 6887, 269, 2060, 513, 2143, 2203, 267, 782, 6105, 723, 513, 2312, 1620, 540, 519, 1788, 267, 799, 10607, 2792, 543, 11558, 267, 3056, 547, 513, 811, 3608, 4070, 1184, 563, 7661, 267, 519, 2825, 1764, 3112, 581, 15763, 269, 1635, 7114, 1374, 20924, 543, 1818, 2242, 12303, 267, 519, 991, 585, 2168, 30384, 568, 4389, 267, 9494, 2326, 543, 4227, 3653, 269, 898, 849, 11226, 538, 4264, 1374, 676, 3850, 16413, 547, 18082, 543, 5659, 2825, 2188, 971, 607, 7943, 267, 14910, 267, 543, 1648, 4616, 267, 3056, 547, 21273, 267, 811, 10357, 7888, 5656, 563, 274, 291, 14839, 568, 711, 1510, 922, 2591, 269, 898, 3340, 1713, 5092, 538, 3301, 543, 2866, 267, 543, 972, 568, 513, 1565, 7455, 2404, 609, 13215, 891, 2645, 269, 1717, 267, 519, 2132, 593, 5092, 568, 2312, 267, 2016, 519, 5383, 621, 2488, 538, 2474, 540, 7817, 9547, 267, 5470, 5786, 267, 543, 2949, 4398, 563, 1103, 3932, 267, 476, 274, 291, 14839, 568, 8197, 513, 12316, 1907, 538, 6189, 269, 898, 814, 9927, 519, 1259, 16413, 960, 267, 8744, 513, 1007, 1377, 540, 9355, 543, 17779, 547, 519, 1374, 1184, 269, 1306, 2029, 5170, 547, 4434, 267, 649, 666, 2503, 476, 274, 291, 14839, 547, 1831, 1256, 811, 7471, 883, 11265, 2853, 267, 2417, 11319, 519, 6302, 540, 1018, 568, 2009, 538, 519, 3710, 1604, 269, 0, 6124, 24900, 814, 8045, 1896, 7924, 4507, 6322, 693, 5355, 2542, 15334, 1851, 922, 1053, 269, 634, 1533, 781, 1935, 547, 7924, 2069, 6212, 593, 2038, 6304, 267, 3318, 1646, 585, 7855, 267, 543, 519, 946, 540, 1239, 547, 1217, 6044, 269, 2290, 1883, 3609, 568, 519, 1715, 24900, 7216, 4804, 11621, 267, 799, 14592, 519, 1983, 543, 1702, 602, 1762, 1453, 991, 547, 1020, 538, 1931, 547, 581, 3811, 3988, 269, 634, 1533, 849, 2488, 2866, 543, 1489, 585, 7855, 538, 2963, 2861, 7924, 2853, 267, 971, 607, 18551, 6044, 543, 2542, 21711, 1646, 563, 6124, 24900, 849, 814, 513, 1533, 4204, 4879, 267, 519, 1715, 24900, 3557, 4204, 10495, 3590, 630, 26822, 590, 3008, 1070, 602, 2882, 10526, 538, 2542, 543, 1603, 547, 6895, 2875, 3356, 543, 2697, 2127, 1141, 3606, 1489, 568, 2877, 269, 769, 1840, 267, 519, 1533, 781, 15863, 547, 27800, 630, 305, 2316, 264, 5943, 2488, 513, 9836, 1935, 547, 7114, 543, 5885, 10010, 3988, 267, 609, 27764, 1229, 2157, 540, 6304, 1759, 593, 2875, 2115, 563, 763, 1715, 24900, 4972, 540, 4065, 849, 4891, 609, 2199, 3906, 543, 8041, 547, 3895, 7924, 1646, 998, 7341, 971, 607, 519, 1715, 24900, 17402, 17130, 10414, 543, 519, 1715, 24900, 7731, 17402, 19541, 269, 1452, 3292, 2832, 547, 1489, 7924, 1646, 1851, 1053, 543, 3885, 267, 3226, 1346, 538, 1970, 13867, 2950, 563, 6124, 24900, 9906, 24143, 717, 2355, 912, 1607, 4564, 1100, 1713, 1689, 689, 519, 1533, 779, 476, 1001, 280, 3328, 6060, 563, 10574, 616, 711, 4080, 585, 4563, 1053, 538, 476, 1708, 273, 267, 1317, 8989, 4441, 941, 711, 1558, 563, 1103, 476, 1708, 273, 267, 17104, 1053, 1185, 606, 3328, 6060, 602, 729, 476, 2764, 2798, 2539, 982, 602, 585, 6519, 1053, 269, 4578, 616, 711, 4080, 585, 17104, 1053, 538, 476, 1960, 279, 267, 1317, 8989, 4441, 941, 711, 1558, 563, 1103, 476, 1708, 273, 267, 5256, 1053, 538, 1715, 24900, 1185, 606, 3328, 6060, 602, 729, 2539, 982, 602, 585, 4775, 1053, 676, 476, 279, 2798, 563, 1103, 476, 1708, 273, 267, 1053, 945, 941, 14718, 585, 519, 2817, 3427, 700, 4875, 5358, 630, 10064, 10861, 264, 1185, 606, 3328, 6060, 602, 729, 476, 2190, 2798, 2539, 982, 602, 585, 1053, 945, 941, 711, 14718, 269, 901, 2773, 7934, 729, 711, 3648, 1114, 689, 602, 538, 476, 1960, 279, 630, 866, 2798, 1916, 22033, 689, 519, 19364, 7968, 3896, 585, 476, 1708, 273, 476, 275, 628, 3446, 2542, 8464, 563, 26822, 661, 4668, 9970, 5174, 3008, 3633, 8863, 21283, 12778, 306, 454, 26822, 661, 4668, 9970, 5174, 3008, 3633, 10758, 294, 3198, 22003, 25972, 454, 4322, 3906, 616, 8149, 547, 5009, 2963, 2861, 2542, 2853, 267, 3246, 3318, 1646, 3255, 585, 7855, 267, 543, 5885, 1053, 538, 3384, 2178, 2542, 1983, 563, 6124, 24900, 4972, 540, 4065, 454, 6124, 24900, 7335, 5948, 454, 6124, 24900, 17402, 23941, 454, 763, 1715, 4789, 7335, 5948, 910, 1715, 24900, 7027, 0, 12648, 513, 4663, 540, 938, 15283, 12051, 563, 7072, 547, 17453, 26561, 454, 22134, 14989, 26561, 616, 1031, 538, 1082, 6080, 267, 1519, 4070, 267, 5663, 267, 543, 6694, 12227, 269, 10281, 14989, 26561, 616, 1031, 547, 6460, 519, 1648, 540, 2046, 28962, 17453, 5714, 689, 513, 6802, 883, 5276, 7344, 1648, 547, 1847, 513, 25059, 538, 513, 12718, 269, 901, 5276, 5163, 568, 1031, 547, 12740, 267, 7903, 267, 7485, 267, 610, 17967, 3615, 269, 10281, 14989, 26561, 666, 581, 1336, 538, 1114, 7306, 543, 19383, 543, 616, 9286, 676, 519, 1826, 540, 11425, 13021, 1031, 267, 519, 1297, 540, 5933, 267, 543, 519, 1826, 540, 20387, 269, 634, 1034, 1455, 2010, 540, 17453, 26561, 616, 2582, 9117, 267, 5595, 9117, 267, 543, 12382, 14563, 563, 26794, 540, 10281, 14989, 595, 2643, 785, 619, 454, 268, 4400, 1379, 5860, 281, 10281, 14989, 26561, 2709, 2362, 1379, 538, 513, 11741, 2450, 563, 268, 4400, 4398, 281, 10281, 14989, 26561, 616, 3810, 3608, 267, 607, 789, 6460, 1648, 689, 2046, 28962, 17453, 5714, 883, 5276, 7344, 1648, 563, 268, 22453, 2039, 540, 4229, 281, 10281, 14989, 26561, 666, 5352, 513, 2647, 2039, 540, 4229, 267, 689, 513, 1906, 13728, 547, 5215, 540, 6550, 563, 268, 14168, 10380, 281, 10281, 14989, 26561, 616, 2653, 547, 3888, 267, 607, 789, 2154, 8766, 4674, 563, 268, 8899, 1942, 540, 9562, 281, 10281, 14989, 26561, 616, 1942, 15807, 267, 607, 789, 2154, 8766, 5826, 543, 18203, 563, 9743, 718, 566, 267, 29766, 267, 543, 20904, 540, 10281, 14989, 595, 2643, 785, 619, 454, 9743, 16226, 513, 17453, 12718, 568, 513, 3551, 1184, 602, 3340, 2596, 2645, 543, 1702, 269, 6969, 10380, 267, 2638, 782, 3334, 585, 4191, 540, 5957, 543, 3441, 267, 543, 5372, 1022, 26843, 3334, 269, 1677, 3888, 513, 17453, 12718, 267, 1101, 4410, 519, 12718, 547, 519, 3684, 267, 1818, 2386, 621, 568, 13988, 7157, 269, 3973, 267, 8936, 519, 12718, 547, 519, 3684, 779, 17453, 3515, 267, 543, 1921, 519, 17453, 3515, 547, 519, 6802, 269, 2991, 10380, 267, 519, 12718, 1058, 581, 7318, 547, 1118, 2386, 621, 568, 5665, 5265, 563, 19894, 5826, 543, 24422, 616, 2556, 547, 1832, 17453, 26561, 538, 1434, 2783, 269, 10281, 14989, 5714, 1058, 581, 13761, 5781, 543, 4957, 952, 2877, 269, 1403, 1022, 17453, 3515, 610, 20910, 616, 1336, 547, 581, 12816, 610, 8697, 267, 789, 1058, 581, 8719, 269, 1403, 519, 12718, 568, 682, 1136, 267, 621, 1058, 581, 3144, 6306, 543, 1202, 4624, 585, 4191, 540, 5957, 610, 3441, 269, 769, 1840, 267, 519, 12718, 1058, 581, 19149, 730, 5781, 547, 2327, 5347, 5106, 563, 11847, 1515, 532, 513, 17453, 12718, 666, 581, 513, 2352, 543, 942, 21791, 1184, 269, 1403, 519, 12718, 568, 711, 8647, 7157, 267, 621, 1058, 581, 3144, 6306, 543, 1202, 4624, 585, 4191, 540, 5957, 610, 3441, 269, 1403, 1022, 3334, 616, 1336, 547, 581, 12816, 610, 8697, 267, 789, 1058, 581, 8719, 269, 4495, 519, 12718, 568, 556, 553, 5145, 1194, 267, 621, 1058, 581, 7318, 547, 1118, 2386, 621, 568, 2324, 5265, 563, 1692, 547, 7994, 519, 9406, 10281, 14989, 13813, 543, 13813, 1530, 531, 888, 2691, 7446, 17453, 3282, 267, 621, 568, 1271, 547, 2824, 519, 1318, 1826, 543, 25297, 269, 7756, 2010, 540, 17453, 3282, 616, 19775, 585, 1808, 3156, 267, 865, 621, 568, 1271, 547, 3442, 519, 1318, 1826, 585, 519, 2816, 269, 966, 4593, 13920, 568, 849, 1271, 267, 607, 621, 11887, 519, 2095, 2557, 540, 519, 3282, 269, 769, 1840, 267, 950, 7446, 3282, 20910, 585, 17453, 26561, 267, 621, 568, 1271, 547, 2824, 519, 1318, 2450, 543, 1570, 269, 7756, 2010, 540, 3282, 20910, 616, 2139, 267, 543, 789, 1058, 581, 6074, 1759, 593, 519, 5665, 2837, 267, 2604, 267, 543, 3432, 540, 519, 12718, 563, 1692, 547, 29799, 513, 10281, 14989, 595, 2643, 5407, 18237, 888, 3725, 680, 5217, 513, 17453, 12718, 8930, 666, 581, 513, 2352, 1184, 269, 3689, 267, 519, 12718, 1590, 581, 771, 553, 5145, 1194, 543, 519, 26843, 8930, 6569, 269, 3973, 267, 519, 1007, 8930, 1590, 581, 6027, 543, 2577, 1441, 547, 519, 2953, 2450, 269, 4495, 519, 1007, 8930, 568, 8704, 267, 519, 12718, 1058, 581, 556, 553, 5145, 1194, 543, 7318, 547, 1118, 2386, 621, 568, 8647, 5265, 563, 1692, 547, 7994, 513, 2672, 3386, 5295, 5149, 888, 24400, 513, 5078, 1379, 1770, 568, 606, 1271, 1900, 538, 519, 1374, 540, 513, 17453, 1062, 269, 634, 1379, 1770, 1058, 581, 6074, 1759, 593, 519, 2095, 2557, 543, 2604, 4170, 540, 519, 1062, 269, 634, 2450, 543, 1826, 540, 519, 1379, 1770, 1058, 849, 581, 2808, 267, 607, 713, 786, 3313, 519, 2949, 4398, 540, 519, 1062, 269, 769, 1840, 267, 519, 1379, 2707, 1058, 581, 6074, 1759, 593, 519, 3498, 4170, 267, 607, 930, 1379, 2959, 949, 581, 811, 3608, 982, 1866, 563, 14110, 2207, 6261, 8582, 2207, 281, 10866, 10281, 14989, 595, 2643, 785, 619, 693, 32285, 31245, 454, 14110, 2207, 6261, 8582, 2207, 568, 513, 3056, 2990, 538, 519, 2344, 10126, 540, 17453, 26561, 585, 5985, 12227, 538, 3624, 269, 1284, 2709, 513, 2647, 2039, 540, 17453, 26561, 267, 1519, 28550, 26561, 267, 23376, 26561, 267, 543, 12740, 26561, 269, 1284, 723, 513, 1374, 4390, 540, 476, 1220, 267, 1822, 5036, 267, 543, 649, 723, 1585, 2010, 540, 4628, 13128, 18981, 2504, 476, 4968, 5036, 540, 3937, 543, 13128, 17453, 12718, 10198, 3937, 269, 1284, 1683, 1164, 7779, 2472, 693, 8013, 5777, 267, 543, 938, 2015, 622, 2533, 1118, 721, 519, 4998, 3903, 585, 707, 17453, 12718, 2115, 269, 769, 1840, 267, 649, 849, 3761, 19666, 960, 3760, 26561, 267, 4853, 6174, 17453, 26561, 267, 27414 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 276, 281, 2997, 1014, 14118, 27833, 543, 4706, 8177, 593, 13812, 6925, 692, 296, 269, 4985, 692, 13510, 1014, 14798, 267, 849, 1634, 607, 6177, 2770, 267, 568, 513, 10194, 3968, 602, 5097, 5540, 5017, 267, 855, 666, 12212, 3468, 824, 2831, 543, 3425, 269, 634, 3644, 12851, 547, 519, 1920, 13106, 3912, 343, 990, 597, 13160, 543, 814, 1896, 1016, 18196, 1759, 593, 1079, 2627, 5946, 1107, 8280, 698, 6921, 583, 514, 514, 630, 11190, 264, 543, 683, 340, 1090, 514, 573, 848, 630, 2793, 1040, 1677, 4266, 267, 972, 616, 476, 1626, 1114, 22743, 1016, 18196, 543, 8370, 19364, 1016, 18196, 4857, 267, 4611, 538, 1585, 10659, 971, 607, 670, 276, 301, 272, 267, 670, 278, 301, 280, 267, 543, 670, 272, 301, 272, 630, 13328, 2657, 9257, 267, 476, 1708, 272, 1040, 901, 3184, 786, 1445, 4481, 593, 26624, 14798, 781, 1764, 593, 7320, 4915, 267, 1210, 519, 1383, 540, 519, 28828, 326, 9068, 24415, 935, 5018, 538, 519, 4367, 780, 2862, 269, 28298, 543, 11202, 14003, 540, 2997, 1014, 14118, 27833, 24295, 692, 9558, 3939, 540, 26624, 14798, 4386, 5631, 998, 1463, 3346, 609, 7783, 5017, 610, 741, 28797, 269, 1717, 267, 9940, 6771, 3842, 13572, 1216, 267, 1426, 267, 610, 7252, 949, 2049, 607, 1134, 269, 23582, 730, 5017, 899, 17944, 543, 26414, 1419, 4196, 607, 23854, 585, 1970, 23633, 12490, 282, 2705, 267, 1978, 1016, 18196, 630, 324, 3052, 1421, 670, 276, 301, 272, 267, 670, 278, 301, 280, 264, 723, 3254, 1164, 9019, 3928, 1851, 6469, 16738, 5095, 630, 22479, 7699, 1299, 12138, 267, 476, 1220, 278, 1040, 590, 1602, 611, 1227, 267, 891, 3810, 23633, 12490, 666, 3444, 2249, 7496, 543, 2014, 4049, 4576, 538, 11864, 267, 1519, 3425, 780, 7656, 269, 28620, 540, 2997, 1014, 14118, 27833, 593, 13812, 7377, 2827, 692, 27288, 5017, 1404, 513, 2629, 1909, 538, 22412, 908, 26624, 14798, 1813, 547, 741, 2647, 13664, 3892, 543, 9194, 3270, 269, 2755, 1082, 3552, 5017, 4163, 519, 3644, 1510, 27109, 2589, 267, 930, 2249, 7985, 1713, 24896, 543, 9019, 1282, 17061, 269, 1280, 3236, 267, 519, 7489, 670, 276, 301, 272, 8833, 3361, 8101, 7972, 1851, 27436, 1216, 325, 25717, 538, 3624, 1282, 519, 2038, 476, 1220, 271, 338, 630, 299, 24926, 1696, 620, 1421, 476, 1220, 276, 1040, 3958, 267, 2527, 5884, 32187, 7018, 1851, 26026, 2273, 10125, 2059, 519, 7414, 5032, 540, 3345, 3013, 1739, 4598, 547, 670, 272, 301, 272, 538, 476, 1001, 275, 268, 1001, 276, 630, 305, 877, 344, 1696, 620, 1421, 476, 1001, 277, 1040, 1452, 2621, 5031, 519, 1761, 4539, 540, 26624, 14798, 593, 7320, 1072, 543, 9265, 780, 4353, 269, 8865, 5530, 281, 29407, 543, 24793, 540, 513, 19565, 28828, 326, 9068, 24415, 935, 692, 1103, 519, 6679, 642, 793, 8291, 267, 3220, 269, 8575, 675, 523, 25371, 6257, 1200, 1995, 8156, 543, 11222, 22626, 513, 11174, 28828, 326, 9068, 24415, 935, 8995, 609, 26624, 14798, 269, 16270, 16075, 267, 519, 23881, 935, 10268, 4191, 5812, 609, 22926, 910, 29723, 1173, 344, 267, 900, 659, 2747, 267, 543, 3834, 1278, 8926, 269, 19461, 4152, 9672, 519, 4527, 540, 26624, 14798, 267, 20872, 7453, 10072, 10873, 547, 2061, 2417, 3262, 1369, 519, 9744, 269, 2991, 8391, 11215, 1416, 267, 5714, 3797, 267, 543, 27179, 6527, 267, 519, 23881, 935, 16626, 543, 3459, 1036, 8724, 4222, 998, 3635, 538, 519, 1744, 16433, 20568, 23046, 595, 720, 269, 16828, 267, 2899, 23498, 540, 3968, 267, 519, 3375, 729, 1500, 547, 5305, 519, 23881, 935, 1394, 883, 922, 2067, 7226, 780, 1607, 2013, 1353, 14550, 519, 2956, 540, 28858, 543, 23982, 3823, 26624, 14798, 1369, 7320, 19190, 269, 1306, 14051, 4679, 1480, 5872, 609, 3552, 5624, 267, 3255, 585, 1990, 3019, 5328, 2068, 4483, 1831, 811, 7928, 269, 1635, 9301, 2038, 9963, 4191, 543, 7598, 3617, 3800, 267, 9439, 899, 3220, 269, 25371, 2327, 1312, 1367, 3461, 4093, 543, 6626, 1857, 1072, 3853, 780, 309, 269, 10644, 11150, 18830, 2997, 1014, 14118, 27833, 4934, 3691, 6545, 692, 7093, 1203, 894, 3646, 1996, 26624, 14798, 4125, 3818, 1922, 14239, 4485, 13389, 13178, 267, 12674, 267, 9882, 2853, 267, 543, 2069, 269, 8617, 5464, 3292, 5351, 538, 16326, 6932, 6937, 4505, 267, 3850, 12905, 7459, 543, 10893, 5222, 269, 23840, 540, 6098, 12674, 11044, 1851, 11630, 2249, 666, 2569, 2949, 9860, 1247, 30286, 8766, 4220, 547, 5117, 1599, 952, 5342, 4140, 5534, 569, 269, 24046, 7254, 3202, 2175, 267, 3226, 538, 3838, 2200, 899, 1216, 2959, 267, 27298, 8458, 540, 6771, 1063, 2043, 543, 2066, 2249, 6302, 269, 7053, 267, 5807, 5698, 1063, 3173, 267, 14519, 267, 3782, 7426, 267, 543, 2146, 2818, 10240, 9094, 7104, 1702, 543, 4390, 547, 4431, 3927, 547, 2104, 2591, 780, 9654, 269, 10390, 692, 2026, 7152, 676, 519, 28828, 326, 9068, 24415, 935, 2013, 267, 26624, 14798, 4564, 513, 32330, 3390, 11562, 13589, 3007, 1369, 18915, 4915, 543, 6757, 1108, 4610, 269, 4197, 5817, 6127, 16881, 5483, 6114, 950, 25884, 4299, 2550, 267, 17420, 711, 1152, 741, 10304, 855, 5732, 1225, 339, 9430, 6626, 8623, 12515, 269, 3414, 15398, 4656, 267, 7347, 1382, 989, 31789, 267, 543, 14942, 4507, 267, 649, 3565, 9797, 2509, 19086, 26624, 14798, 781, 17672, 2360, 593, 7320, 5095, 543, 2404, 8733, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 16758, 267, 799, 8118, 538, 476, 2735, 274, 267, 568, 10452, 593, 519, 14830, 12579, 543, 3523, 2209, 945, 1118, 621, 606, 17170, 4199, 543, 3168, 6619, 547, 513, 1007, 5736, 540, 12391, 585, 2199, 7320, 454, 25748, 267, 8575, 675, 523, 25371, 267, 667, 17679, 8160, 1421, 667, 5723, 29262, 267, 966, 6734, 267, 8689, 540, 16515, 30835, 13812, 18669, 267, 11542, 3544, 519, 1744, 16433, 20568, 23046, 595, 720, 267, 8600, 547, 5305, 513, 11174, 533, 699, 326, 9068, 23881, 935, 1394, 883, 519, 3552, 269, 898, 729, 4955, 7992, 689, 519, 11848, 547, 3162, 3013, 585, 519, 5162, 267, 950, 621, 729, 4547, 547, 519, 16758, 4411, 543, 6094, 269, 769, 713, 2013, 267, 789, 941, 18822, 267, 25371, 3081, 269, 898, 1185, 1100, 7063, 543, 621, 7318, 2942, 585, 26624, 14798, 267, 865, 789, 10480, 621, 543, 8184, 31411, 621, 538, 519, 23046, 595, 720, 2394, 621, 729, 2178, 2614, 547, 3136, 922, 22116, 563, 2690, 25371, 267, 945, 568, 519, 28792, 543, 4406, 24809, 5576, 1067, 326, 601, 12910, 10615, 538, 13812, 6925, 543, 606, 12314, 4791, 7548, 693, 595, 17026, 902, 3427, 540, 27259, 6925, 693, 16515, 30835, 2160, 267, 519, 10761, 540, 16089, 606, 3662, 1394, 883, 519, 3552, 2760, 4991, 2025, 269, 1656, 607, 1352, 14478, 519, 1762, 1979, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 27259, 6925, 1315, 4937, 1315, 24768, 1108, 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, 476, 1015, 281, 24935, 9453, 9293, 910, 4197, 6348, 16812, 9442, 692, 5331, 596, 616, 856, 4730, 13558, 609, 707, 2828, 1310, 1153, 835, 1554, 269, 1411, 1175, 20639, 513, 3804, 267, 855, 3079, 540, 1750, 1359, 10978, 569, 267, 596, 12235, 1312, 7916, 909, 883, 519, 2011, 267, 6802, 873, 2899, 610, 7466, 267, 1287, 3142, 873, 1524, 1586, 1247, 15603, 856, 513, 15112, 11244, 834, 8133, 10590, 2659, 2319, 10863, 17869, 1256, 21514, 1457, 982, 1354, 1317, 789, 917, 4010, 1018, 602, 1797, 1107, 9358, 667, 2839, 8668, 256, 1809, 723, 596, 2479, 9289, 875, 789, 6956, 1018, 5949, 1510, 6217, 1022, 4890, 1913, 2097, 856, 540, 707, 5023, 286, 2334, 781, 1141, 1945, 1572, 26068, 2792, 2501, 538, 780, 15239, 16812, 2792, 568, 899, 1776, 5728, 1893, 649, 782, 3717, 1510, 16734, 621, 269, 898, 3322, 1210, 1919, 899, 1560, 5322, 267, 11132, 7215, 267, 3750, 3346, 267, 543, 1256, 5905, 547, 6655, 4555, 267, 4606, 267, 610, 2093, 269, 901, 1106, 540, 2792, 4249, 513, 7372, 1909, 538, 938, 3232, 2729, 267, 4543, 721, 1921, 609, 1142, 824, 593, 4514, 2157, 543, 1174, 811, 827, 1018, 2576, 1522, 581, 3206, 610, 4743, 780, 14722, 723, 6594, 26068, 2792, 585, 1296, 543, 4362, 930, 4241, 5013, 2059, 519, 1259, 269, 2755, 972, 3884, 1405, 2347, 6876, 593, 519, 2338, 267, 3173, 3494, 602, 950, 649, 5968, 267, 1447, 982, 476, 1015, 260, 540, 519, 2495, 2501, 689, 519, 1913, 2933, 256, 1924, 952, 596, 1589, 1394, 547, 602, 13558, 3014, 267, 1034, 540, 1018, 5280, 707, 2828, 8661, 609, 596, 729, 4440, 1759, 593, 7487, 707, 6126, 3068, 543, 9599, 6186, 20517, 2864, 982, 4376, 1808, 596, 1767, 780, 3086, 1577, 781, 2736, 1524, 1346, 1614, 1292, 2694, 540, 26068, 2792, 5018, 4505, 281, 1560, 5322, 630, 10193, 1634, 607, 1560, 1893, 1070, 11132, 7215, 267, 543, 3750, 3346, 780, 28694, 5678, 281, 3807, 899, 2831, 798, 267, 3425, 946, 741, 4703, 547, 2769, 4664, 543, 15752, 269, 1280, 1383, 267, 7555, 7381, 609, 8746, 14302, 666, 1397, 4222, 543, 1582, 12431, 4269, 267, 6466, 1793, 537, 4221, 936, 1223, 5815, 18354, 610, 1970, 1648, 269, 9061, 532, 707, 7916, 1522, 1611, 596, 1745, 17872, 610, 6806, 1055, 267, 1247, 4608, 1484, 532, 873, 2982, 22371, 543, 7789, 4369, 269, 2052, 596, 1589, 540, 2053, 950, 596, 8068, 2576, 1210, 891, 2010, 540, 1560, 6786, 2496, 293, 18432, 25285, 281, 3776, 8188, 616, 11212, 3532, 2645, 585, 14379, 938, 6418, 10600, 269, 1879, 649, 12837, 267, 535, 3497, 267, 6318, 938, 32071, 4900, 267, 2695, 842, 267, 610, 1625, 572, 938, 17534, 267, 649, 6494, 2312, 6835, 827, 8788, 267, 10845, 267, 9983, 267, 10539, 267, 29832, 755, 267, 610, 4250, 269, 8347, 1818, 1142, 540, 1346, 11132, 7215, 1631, 282, 1294, 952, 596, 666, 5431, 799, 7553, 4422, 609, 1142, 835, 780, 292, 6614, 13555, 281, 5620, 596, 2479, 4862, 519, 8360, 834, 1492, 4064, 616, 9486, 547, 519, 9997, 22172, 4270, 267, 972, 781, 5168, 3297, 602, 6031, 1317, 3168, 5702, 693, 2576, 781, 22401, 666, 2995, 596, 513, 2603, 827, 1018, 789, 2811, 7680, 14156, 269, 24367, 1434, 3750, 3346, 1282, 7391, 19752, 1719, 543, 6278, 267, 1247, 9319, 621, 666, 3006, 2303, 9636, 610, 31081, 17965, 269, 1717, 267, 3314, 602, 2686, 8155, 1472, 3750, 3346, 4268, 4922, 267, 865, 2141, 2015, 945, 596, 2811, 15025, 609, 1354, 5373, 8753, 780, 3383, 1946, 1281, 782, 713, 2339, 286, 5221, 13215, 26068, 2792, 786, 948, 596, 1831, 513, 811, 2500, 26575, 543, 10584, 267, 3850, 596, 547, 1628, 6793, 4296, 609, 1920, 2818, 267, 3610, 267, 543, 9905, 269, 1635, 9878, 3007, 547, 1018, 1866, 5749, 1405, 6031, 8231, 958, 267, 596, 3513, 2744, 3407, 4030, 883, 741, 3020, 4606, 543, 18144, 269, 9578, 267, 1373, 3222, 540, 707, 1378, 26068, 10291, 5849, 602, 596, 2811, 11488, 4977, 6835, 827, 3054, 1932, 780, 1103, 5758, 267, 26068, 2792, 568, 606, 1898, 851, 540, 1480, 5872, 602, 2636, 721, 547, 2671, 1344, 3564, 9275, 1893, 269, 3414, 1560, 5322, 267, 11132, 7215, 267, 543, 3750, 3346, 267, 649, 1711, 4514, 24300, 540, 6000, 543, 1866, 269, 1306, 596, 1847, 4464, 538, 1272, 267, 1832, 8026, 11009, 2509, 891, 11029, 2943, 26374, 3029, 540, 4082, 1107, 789, 3513, 4196, 596, 1134, 538, 1169, 1514, 3510, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15239, 16812, 2792, 568, 519, 957, 540, 23187, 513, 2219, 267, 4743, 267, 610, 2856, 998, 2168, 17267, 267, 14302, 267, 543, 11132, 7215, 269, 589, 1353, 5342, 693, 17459, 6369, 1336, 513, 5354, 540, 2792, 547, 581, 26068, 267, 4352, 519, 1353, 779, 3169, 7194, 30147, 4951, 1152, 476, 278, 260, 540, 1022, 5048, 547, 581, 20794, 539, 998, 1913, 267, 476, 4343, 260, 998, 13047, 2609, 971, 607, 3159, 267, 543, 476, 4649, 260, 998, 26068, 2609, 971, 607, 14302, 543, 23972, 1765, 732, 1419, 31713, 563, 26685, 2207, 4306, 13263, 5058, 12894, 23615, 289, 3201, 25265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1287, 621, 779, 2469, 547, 581, 2944, 11992, 269, 898, 779, 899, 6031, 267, 968, 2791, 666, 1406, 798, 7384, 593, 519, 4950, 267, 1317, 596, 1522, 4483, 606, 4950, 3644, 3034, 3383, 835, 3665, 1797, 649, 2611, 538, 22293, 267, 543, 1287, 621, 779, 899, 634, 5915, 517, 6953, 13550, 539, 2622, 540, 14161, 590, 12298, 1107, 649, 1810, 1406, 1174, 1018, 779, 2469, 593, 267, 543, 621, 779, 7133, 721, 563, 763, 824, 3665, 568, 1169, 1480, 585, 2933, 609, 1100, 1852, 543, 1100, 1416, 936, 519, 6286, 630, 6518, 594, 1589, 814, 1044, 513, 1360, 1455, 10182, 538, 10509, 1040, 901, 568, 14605, 16208, 24553, 14929, 704, 779, 267, 968, 16485, 19807, 267, 711, 10479, 3034, 5575, 540, 782, 267, 1082, 1004, 1810, 1406, 917, 602, 31288, 24553, 14929, 704, 1767, 602, 282, 519, 5316, 1081, 269, 1809, 849, 267, 789, 1810, 1406, 8275, 1018, 1352, 729, 6158, 827, 563, 297, 9461, 9652, 3576, 519, 2259, 20389, 1449, 607, 513, 1164, 17469, 2875, 3544, 9628, 269, 7935, 577, 999, 2663, 8452, 689, 966, 6387, 321, 2830, 267, 18628, 267, 3345, 13523, 543, 519, 2160, 540, 9628, 563, 763, 9945, 685, 1151, 7228, 725, 533, 31985, 1200, 1719, 267, 543, 1352, 5555, 4294, 269, 589, 1906, 3275, 2663, 267, 1352, 729, 15653, 676, 1346, 543, 1614, 824, 3506, 602, 1185, 8179, 1200, 3498, 267, 1352, 1767, 269, 634, 1164, 17469, 1130, 539, 1112, 20187, 779, 1449, 8464, 267, 1247, 2178, 676, 1034, 4441, 267, 941, 1134, 2630, 1346, 540, 1034, 1053, 15861, 547, 519, 1896, 3506, 602, 1185, 30409, 1200, 563, 28317, 2603, 540, 519, 7947, 687, 3357, 593, 519, 1482, 1554, 2223, 1767, 15516, 269, 9652, 267, 513, 476, 2641, 4458, 6040, 9972, 4670, 2101, 693, 1715, 3840, 2160, 267, 835, 540, 1614, 3506, 602, 7608, 1200, 856, 540, 476, 1015, 3156, 269, 968, 296, 1175, 588, 1563, 693, 1250, 2780, 543, 524, 3072, 3034, 763, 19684, 8486, 2583, 4769, 1406, 948, 15516, 269, 9652, 267, 855, 789, 1705, 4324, 519, 9945, 602, 2366, 873, 269, 30793, 2471, 4473, 538, 3084, 31213, 543, 10639, 950, 789, 1397, 1239, 11021, 789, 616, 811, 16496, 269, 1358, 666, 798, 602, 676, 7947, 532, 811, 23078, 267, 2436, 610, 711, 1346, 10457, 2479, 11542, 513, 4960, 269, 2368, 23078, 267, 538, 1198, 267, 1831, 26968, 532, 30392, 985, 563, 293, 29623, 713, 6422, 568, 519, 5441, 8274, 267, 519, 1715, 3840, 18758, 602, 22595, 519, 20389, 267, 513, 1449, 2966, 547, 1377, 519, 2852, 14194, 332, 3827, 4730, 2361, 563, 763, 4604, 568, 1210, 519, 20389, 607, 519, 5748, 585, 1776, 1870, 281, 9513, 1449, 2389, 5474, 685, 4408, 543, 2123, 1344, 547, 9945, 563, 6546, 814, 5280, 3506, 4870, 622, 741, 32358, 20115, 543, 18349, 3928, 269, 8409, 18349, 3928, 723, 28659, 519, 8226, 540, 608, 12807, 602, 12621, 616, 11235, 547, 12927, 267, 11319, 1053, 547, 1902, 811, 942, 543, 2724, 538, 8600, 585, 543, 1427, 1136, 11400, 5441, 8274, 23619, 269, 30793, 2471, 2161, 519, 1239, 2337, 873, 3914, 513, 3309, 7535, 540, 1053, 789, 1522, 723, 6382, 14406, 563, 19859, 7809, 7318, 856, 513, 2185, 6377, 960, 3018, 538, 922, 3567, 13646, 543, 1336, 607, 513, 1267, 5520, 941, 711, 1152, 18668, 1107, 855, 3648, 811, 11327, 563, 2690, 519, 3923, 540, 4864, 267, 9786, 3567, 4603, 539, 609, 513, 1007, 1788, 1572, 4518, 21509, 14893, 7420, 14400, 476, 1001, 280, 267, 4758, 922, 3003, 476, 273, 267, 4968, 1268, 13781, 2947, 2605, 12156, 1055, 538, 513, 4737, 1510, 13302, 2628, 563, 763, 27571, 4374, 3366, 547, 811, 3608, 11401, 267, 18668, 4600, 267, 543, 5818, 539, 7607, 676, 513, 31417, 476, 2412, 9077, 519, 2754, 11943, 693, 519, 1439, 540, 519, 4693, 269, 1306, 851, 540, 519, 1982, 267, 519, 2754, 1185, 849, 9709, 547, 13564, 1125, 1920, 7477, 725, 585, 5520, 909, 547, 2485, 354, 1911, 267, 1822, 610, 1269, 280, 736, 563, 2108, 13480, 513, 2110, 942, 267, 1964, 1134, 543, 1451, 513, 2603, 2223, 9786, 3567, 7022, 543, 16628, 570, 27495, 5984, 670, 597, 8457, 1767, 538, 513, 3948, 547, 9786, 3567, 779, 3896, 269, 968, 296, 1616, 5520, 547, 1589, 827, 543, 1995, 875, 789, 666, 3035, 519, 1482, 2164, 609, 476, 736, 260, 1447, 2324, 942, 3034, 763, 5313, 2229, 779, 14222, 1857, 7963, 814, 20546, 539, 1269, 2537, 18265, 585, 519, 1101, 942, 538, 1686, 267, 2687, 547, 1239, 689, 519, 27308, 4972, 5950, 593, 11016, 563, 31995, 6578, 22907, 723, 3773, 547, 519, 4182, 779, 7963, 693, 513, 3432, 344, 2557, 2094, 5518, 11686, 3576, 5604, 269, 634, 7963, 814, 6738, 930, 476, 1626, 2600, 2094, 11686, 779, 22305, 4851, 267, 950, 621, 11542, 693, 1269, 866, 269, 280, 18265, 269, 898, 5293, 1269, 2420, 18265, 585, 519, 1101, 942, 1175, 476, 1015, 3275, 3516, 563, 8170, 519, 1269, 2537, 18265, 4137, 267, 1175, 896, 1269, 1704, 18265, 729, 538, 519, 7121, 540, 7963, 4371, 676, 519, 1857, 267, 799, 568, 513, 811, 3730, 15378, 540, 519, 7963, 519, 2229, 814, 547, 2628, 1524, 267, 543, 519, 1297, 3335, 1031, 538, 12719, 519, 4182, 779, 7963, 11411, 269, 634, 824, 1269, 277, 18265, 2501, 689, 12029, 1369, 2229, 4703, 563, 6124, 3840, 8648, 10443, 513, 2283, 1049, 1650, 593, 875, 1082, 4025, 786, 4166, 581, 14015, 454, 19013, 267, 621, 3765, 4926, 1239, 547, 9959, 9568, 267, 2870, 11389, 32208, 4250, 454, 2691, 1715, 3840, 4975, 779, 25650, 3459, 513, 1847, 547, 2847, 2086, 519, 1982, 540, 16496, 3506, 2063, 1032, 267, 513, 1857, 856, 322, 787, 1671, 4240, 267, 543, 519, 3390, 814, 2943, 547, 581, 17251, 563, 30606, 687, 16079, 539, 1346, 538, 519, 5842, 12770, 1133, 1881, 3427, 10588, 267, 799, 3670, 1296, 3516, 3459, 538, 7118, 652, 519, 17594, 540, 4359, 6128, 5049, 2394, 1310, 476, 1015, 628, 3446, 269, 14268, 2813, 9365, 2516, 547, 28586, 519, 2242, 563, 6624, 3494, 602, 1453, 1451, 811, 3927, 538, 3506, 610, 5049, 609, 2147, 6267, 267, 855, 616, 789, 1318, 286, 898, 568, 513, 2243, 602, 814, 1279, 27278, 543, 5258, 1004, 269, 1879, 6267, 1397, 1114, 9740, 2157, 267, 1058, 649, 4001, 873, 14384, 610, 1927, 286, 594, 723, 6170, 1250, 4876, 4974, 713, 2243, 543, 267, 4352, 519, 7954, 540, 5094, 5049, 4667, 2178, 267, 2963, 5012, 721, 538, 513, 1114, 4287, 563, 2690, 3236, 267, 1310, 5842, 12770, 1133, 1881, 632, 13652, 22486, 2979, 267, 519, 8167, 540, 1053, 17528, 7223, 8593, 689, 476, 2412, 2600, 547, 476, 279, 2600, 543, 519, 8167, 540, 1053, 2921, 4359, 5049, 9782, 547, 513, 3791, 267, 519, 5207, 6871, 538, 8664, 1686, 269, 19402, 476, 1015, 628, 3446, 267, 1053, 1491, 519, 1482, 6128, 5049, 269, 3245, 476, 1556, 628, 3446, 593, 267, 1053, 666, 3442, 1114, 11444, 563, 6624, 2852, 20485, 543, 16984, 616, 11235, 547, 2490, 741, 1053, 883, 20748, 804, 2158, 540, 2933, 538, 13922, 540, 4180, 602, 519, 772, 2529, 269, 786, 723, 519, 2186, 540, 2229, 958, 6417, 267, 2445, 643, 2065, 2486, 789, 7287, 563, 15919, 741, 968, 338, 15471, 892, 538, 602, 3587, 20498, 569, 10423, 267, 971, 607, 519, 9663, 1190, 267, 3857, 686, 4301, 4323, 676, 519, 744, 828, 4802, 5441, 2146, 1996, 513, 1507, 29221, 2044, 538, 4884, 936, 922, 16957, 10168, 1107, 585, 3843, 547, 2061, 606, 896, 720, 3109, 4819, 689, 27560, 9174, 269, 2334, 18678, 3635, 538, 968, 342, 7505, 612, 892, 3366, 547, 513, 27779, 543, 1269, 3451, 2929, 21139, 2357, 18743, 1996, 519, 2852, 269, 630, 296, 4363, 968, 302, 744, 828, 4802, 267, 3733, 744, 828, 4802, 892, 676, 19622, 7548, 14062, 17502, 615, 585, 513, 3102, 1353, 538, 519, 1259, 1990, 20454, 2451, 1235, 723, 2097, 547, 20441, 519, 1153, 8094, 19013, 267, 519, 2816, 540, 4081, 2451, 1235, 538, 2866, 1762, 15628, 568, 3478, 4443, 543, 4443, 269, 2334, 568, 1317, 1857, 3506, 616, 3257, 811, 543, 811, 547, 2783, 1053, 547, 3398, 513, 2647, 5044, 540, 2451, 626, 18765, 2443, 18765, 602, 1118, 873, 3810, 32615, 547, 2417, 2451, 626, 3450, 543, 7125, 585, 873, 547, 957, 1996, 9228, 14763, 540, 519, 1514, 5126, 16786, 563, 1103, 513, 1847, 2693, 547, 4482, 9880, 267, 513, 9263, 24595, 4760, 814, 8815, 547, 15476, 606, 7969, 21997, 779, 3810, 29653, 2079, 540, 12326, 267, 799, 20147, 602, 4775, 21575, 1810, 1406, 3068, 811, 4876, 9465, 982, 741, 5256, 9164, 269, 634, 4760, 3081, 621, 786, 849, 8195, 15476, 31886, 540, 519, 1957, 267, 799, 835, 4759, 540, 519, 4760, 779, 21107, 4604, 3081, 568, 968, 4148, 31090, 892, 543, 3568, 968, 684, 11357, 560, 656, 7007, 6811, 3034, 8310, 1032, 267, 21997, 1325, 612, 663, 549, 853, 5300, 807, 4607, 7839, 9880, 1310, 9306, 513, 2911, 693, 595, 30204, 267, 519, 3864, 9325, 6323, 8047, 2282, 25611, 267, 16848, 267, 1141, 646, 729, 513, 16823, 7548, 269, 4438, 519, 6881, 267, 646, 7682, 539, 602, 6323, 729, 3710, 543, 11827, 676, 2367, 267, 543, 7150, 593, 513, 13472, 602, 968, 30125, 568, 711, 3023, 626, 1996, 2021, 1848, 23897, 1343, 540, 21575, 9896, 513, 4484, 21350, 6005, 4145, 827, 853, 5300, 807, 779, 5784, 543, 930, 3173, 3370, 2143, 31886, 540, 1010, 4681, 543, 2409, 267, 799, 5059, 593, 3370, 4574, 538, 519, 2361, 540, 968, 325, 1495, 4442, 6323, 892, 602, 2882, 7811, 543, 8097, 2090, 540, 4909, 5536, 267, 14421, 1108, 267, 543, 28936, 12695, 269, 2368, 540, 853, 5300, 807, 779, 13915, 723, 11130, 602, 971, 3332, 9382, 616, 711, 6190, 547, 1489, 1010, 6811, 269, 5637, 595, 30204, 543, 853, 5300, 807, 779, 16108, 267, 519, 2160, 540, 623, 13453, 538, 7977, 267, 9250, 13753, 269, 2423, 17067, 713, 1032, 267, 595, 30204, 2759, 782, 13218, 609, 853, 5300, 807, 543, 519, 6280, 5950, 513, 3948, 18149, 940, 1010, 8292, 563, 6624, 1004, 2972, 1045, 3183, 5198, 607, 606, 7778, 585, 782, 12204, 540, 1919, 269, 898, 568, 513, 3838, 2250, 830, 585, 1312, 519, 2484, 268, 3847, 543, 519, 2484, 28878, 269, 634, 2923, 13358, 5318, 18304, 540, 2724, 543, 4674, 547, 2327, 649, 1810, 1406, 9101, 5717, 827, 5198, 607, 1945, 602, 568, 610, 1058, 581, 1271, 269, 901, 13047, 12102, 540, 2797, 17119, 1235, 543, 3377, 3376, 322, 7539, 814, 9859, 938, 3007, 2476, 689, 811, 3532, 21465, 3137, 602, 896, 12340, 1895, 4093, 269, 3131, 2091, 15314, 585, 891, 1079, 2516, 723, 1500, 5198, 513, 811, 513, 7986, 4183, 540, 938, 2729, 563, 2026, 513, 12343, 267, 3043, 17979, 814, 1831, 519, 7957, 10696, 7778, 585, 3604, 538, 1895, 4093, 1851, 1082, 13473, 1004, 269, 1809, 16662, 30102, 610, 6382, 267, 676, 5316, 5024, 1967, 547, 3043, 17979, 267, 3413, 23308, 2043, 945, 1045, 5803, 713, 19451, 2856, 555, 23702, 519, 27606, 540, 1346, 945, 616, 5275, 1967, 855, 945, 616, 849, 15877, 538, 17979, 269, 1403, 649, 1616, 547, 711, 1152, 1174, 3604, 538, 1895, 4093, 855, 849, 544, 754, 873, 267, 1287, 649, 991, 513, 811, 7347, 543, 1447, 20748, 5943, 563, 763, 16381, 17517, 540, 2290, 268, 1320, 532, 268, 1143, 454, 763, 16912, 1632, 602, 1514, 2516, 1058, 581, 8167, 958, 6719, 538, 782, 2238, 543, 5238, 568, 513, 2887, 2329, 602, 4422, 1996, 1883, 8579, 4031, 269, 769, 2470, 267, 972, 568, 4986, 23401, 2099, 8271, 3160, 4093, 269, 24162, 569, 21376, 14778, 540, 4093, 616, 519, 4341, 267, 711, 519, 9868, 563, 2080, 616, 513, 1906, 1806, 269, 2859, 982, 476, 3199, 2600, 540, 519, 14859, 18133, 15945, 538, 4993, 616, 11262, 676, 1004, 540, 18095, 617, 1014, 22693, 269, 4438, 519, 476, 3422, 271, 338, 267, 4352, 519, 4457, 12102, 538, 17111, 729, 1152, 476, 3607, 2600, 540, 519, 2551, 267, 789, 16922, 1063, 476, 3199, 543, 476, 3445, 2600, 540, 782, 6280, 1053, 538, 4915, 267, 2257, 267, 543, 4702, 269, 769, 519, 2038, 14206, 2540, 267, 29703, 1500, 2185, 1922, 604, 2195, 540, 519, 1158, 779, 4006, 3491, 22422, 12227, 269, 769, 476, 4350, 278, 267, 476, 11011, 2600, 540, 782, 9240, 6203, 685, 27121, 538, 26551, 267, 4516, 267, 941, 4371, 676, 1004, 540, 5545, 22693, 563, 5804, 476, 1001, 273, 547, 476, 1001, 275, 267, 594, 5249, 585, 15167, 4248, 4889, 919, 267, 513, 21963, 2508, 4092, 538, 21086, 269, 15167, 4248, 11394, 547, 7500, 5812, 609, 513, 1305, 540, 3741, 13994, 4327, 676, 922, 13653, 267, 14105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12063, 540, 11273, 2110, 3766, 1778, 3043, 7573, 780, 2971, 717, 2449, 692, 1892, 8422, 21144, 2195, 630, 382, 378, 264, 540, 476, 272, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 10101, 286, 476, 271, 269, 4037, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 15150, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 5565, 22188, 630, 273, 270, 274, 264, 540, 476, 272, 2475, 7484, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 10101, 286, 476, 273, 270, 274, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 15389, 575, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 21009, 630, 16006, 264, 540, 476, 272, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 10101, 286, 476, 271, 269, 276, 630, 16006, 264, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 284, 476, 9818, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 780, 2971, 744, 684, 806, 692, 1892, 8422, 21144, 2195, 630, 382, 378, 264, 540, 476, 272, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 13728, 286, 476, 271, 269, 4037, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 276, 269, 5655, 12063, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 5565, 22188, 630, 273, 270, 274, 264, 540, 476, 272, 2475, 7484, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 13728, 286, 476, 273, 270, 274, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 275, 269, 11025, 12063, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 21009, 630, 16006, 264, 540, 476, 272, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 568, 875, 1454, 538, 13728, 286, 476, 271, 269, 276, 630, 16006, 264, 540, 513, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 274, 269, 7830, 12063, 540, 11273, 2110, 3766, 1778, 3043, 7573, 780, 2162, 1215, 547, 2268, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 2496, 1892, 1215, 547, 2268, 476, 12010, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 12010, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 275, 2475, 11680, 1341, 476, 277, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 8517, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 8517, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 274, 269, 276, 2475, 11680, 1341, 476, 277, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 10384, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 12010, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 274, 2475, 11680, 1341, 476, 277, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 7785, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 7785, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 273, 269, 276, 2475, 11680, 1341, 476, 277, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 4335, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 4335, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 273, 2475, 11680, 1341, 476, 278, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 6110, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 6110, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 273, 2475, 11680, 1107, 476, 272, 29537, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 4968, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 4968, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 272, 269, 276, 2475, 11680, 1107, 476, 271, 269, 276, 29537, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 7742, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 7742, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 272, 2475, 7484, 1341, 476, 274, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 1220, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 1220, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 272, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 630, 23719, 476, 276, 10101, 1916, 1892, 1215, 547, 2268, 476, 5611, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 5611, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 271, 269, 276, 2475, 7484, 1341, 476, 274, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 1911, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 1911, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 271, 269, 276, 2475, 7484, 540, 11273, 2110, 3766, 1778, 3043, 7573, 563, 1892, 1215, 547, 2268, 476, 2004, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 609, 2475, 22232, 11680, 286, 476, 2004, 10101, 540, 11273, 2110, 3766, 1778, 3043, 7573, 815, 476, 274, 269, 276, 26486, 540, 11273, 2110, 3766, 1778, 3043, 7573, 780, 2791, 949, 849, 899, 281, 1109, 6011, 547, 2268, 11273, 1279, 3766, 1778, 7573, 530, 8811, 719, 10253, 780, 1103, 713, 2376, 649, 6836, 547, 1592, 1034, 2442, 5666, 540, 11273, 2110, 3766, 1778, 3043, 7573, 543, 741, 5973, 757, 538, 11680, 269, 7490, 267, 1577, 721, 917, 952, 596, 1031, 1500, 9273, 1247, 5986, 269, 5213, 1406, 7340, 547, 4734, 6085, 538, 519, 3296, 2630, 780, 303, 514, 898, 454, 2171, 946, 12897, 538, 1931, 547, 2285, 596, 519, 1655, 2009, 1995, 593, 938, 3896, 269, 1635, 11173, 547, 946, 713, 3135, 267, 596, 3858, 547, 938, 946, 540, 12897, 269, 0, 274, 268, 272, 2259, 24275, 5276, 4834, 692, 1892, 7151, 476, 276, 281, 3313, 952, 519, 3830, 4564, 513, 14354, 2078, 269, 8641, 519, 3830, 586, 7807, 322, 2765, 2715, 272, 348, 2715, 273, 348, 22773, 1535, 586, 815, 476, 2641, 1535, 676, 1818, 513, 3349, 540, 2418, 269, 3973, 3313, 952, 621, 568, 513, 14354, 2078, 269, 5269, 513, 3349, 540, 2418, 547, 2099, 519, 3830, 543, 2824, 513, 5934, 540, 1422, 8578, 2715, 274, 348, 476, 274, 2418, 585, 1422, 3667, 8578, 2715, 343, 348, 1535, 269, 8058, 1900, 269, 31580, 476, 272, 5675, 543, 8641, 532, 12430, 12307, 4530, 269, 23095, 676, 269, 10906, 21969, 577, 269, 901, 1449, 3568, 476, 1704, 2055, 8720, 519, 3584, 540, 24275, 3515, 538, 9386, 25435, 543, 3044, 1106, 267, 1603, 4834, 538, 9386, 25435, 543, 3044, 1106, 267, 607, 1134, 607, 7114, 519, 9386, 543, 586, 25435, 269, 634, 2626, 1883, 568, 3769, 269, 5327, 21573, 15858, 11242, 3267, 20509, 532, 1862, 1281, 9267, 27926, 3902, 6474, 18646, 16534, 4834, 609, 7787, 7215, 269, 5153, 476, 272, 269, 8074, 1022, 1871, 540, 519, 4756, 602, 1131, 1118, 1022, 14009, 4642, 269, 5153, 476, 273, 269, 4855, 519, 2547, 1455, 14009, 540, 782, 32159, 538, 519, 3830, 269, 5153, 476, 274, 269, 13068, 519, 8454, 676, 14921, 1312, 5011, 540, 519, 3830, 676, 519, 700, 7374, 269, 5153, 476, 275, 269, 16534, 519, 4611, 3830, 8160, 987, 289, 1080, 9616, 1504, 10789, 476, 272, 16497, 543, 6657, 568, 1863, 3135, 585, 1053, 630, 663, 3610, 264, 4974, 513, 1101, 1032, 540, 1164, 1153, 7223, 269, 6657, 8641, 532, 12430, 12307, 4569, 289, 1080, 9616, 1504, 2593, 5440, 673, 3267, 1452, 2055, 829, 1555, 547, 19527, 543, 11708, 540, 3515, 269, 7994, 519, 2953, 2626, 269, 476, 272, 269, 4855, 519, 9386, 630, 332, 264, 543, 586, 25435, 630, 321, 264, 585, 586, 815, 476, 275, 343, 910, 476, 279, 3267, 24169, 513, 1062, 540, 22357, 4834, 676, 24275, 269, 5153, 476, 272, 269, 10576, 519, 3113, 540, 1142, 3830, 269, 28220, 519, 2009, 3681, 585, 10167, 269, 5153, 476, 273, 269, 8641, 519, 1101, 3830, 269, 5153, 476, 274, 269, 8641, 519, 2034, 3830, 593, 519, 1482, 14328, 11282, 1062, 269, 5153, 476, 275, 269, 7348, 28988, 17754, 12275, 857, 629, 517, 8759, 910, 6452, 10789, 476, 272, 910, 5149, 476, 274, 910, 7689, 476, 276, 910, 8641, 532, 609, 2473, 312, 23959, 910, 654, 306, 476, 272, 15005, 689, 13878, 295, 476, 1220, 693, 4400, 8672, 4400, 3427, 269, 3267, 8641, 532, 12430, 12307, 1210, 2473, 270, 312, 23959, 3487, 476, 272, 281, 3267, 11929, 476, 274, 6657, 5999, 15005, 269, 11929, 476, 274, 6657, 5999, 15005, 269, 476, 274, 269, 1449, 3341, 269, 4569, 476, 12893, 8791, 476, 273, 269, 277, 28065, 12793, 3487, 476, 272, 15005, 6993, 985, 4546, 281, 476, 274, 343, 1341, 476, 276, 815, 476, 279, 269, 16547, 1341, 1635, 815, 595, 269, 4595, 519, 1062, 814, 28222, 1082, 3435, 267, 519, 2418, 540, 589, 267, 645, 267, 543, 595, 1590, 782, 581, 519, 1482, 2789, 540, 476, 274, 267, 476, 276, 267, 543, 476, 279, 267, 6606, 269, 634, 1079, 4834, 2099, 513, 2582, 1899, 267, 865, 519, 14170, 543, 21635, 540, 835, 3830, 1590, 581, 513, 2789, 540, 519, 824, 269, 7078, 281, 586, 815, 476, 273, 343, 1341, 476, 272, 568, 513, 5276, 3830, 281, 634, 3113, 540, 586, 815, 476, 273, 343, 266, 272, 568, 513, 2786, 1899, 1547, 1879, 1535, 4679, 267, 586, 4679, 7466, 607, 3728, 267, 865, 649, 991, 476, 273, 343, 282, 1879, 1535, 568, 476, 271, 267, 586, 568, 2907, 476, 272, 269, 3267, 1703, 616, 1082, 2081, 540, 1603, 5276, 4834, 267, 855, 789, 2356, 723, 21635, 630, 3697, 834, 273, 257, 610, 834, 322, 8442, 543, 1590, 723, 2241, 4632, 630, 3697, 834, 343, 257, 610, 834, 344, 20257, 1022, 4552, 2892, 976, 1930, 2282, 8544, 2169, 532, 9433, 476, 274, 268, 272, 10341, 6657, 8641, 532, 12430, 12307, 667, 12442, 25783, 296, 7495, 14419, 2436, 1142, 3830, 568, 513, 5276, 3830, 269, 3503, 9811, 610, 1100, 269, 1403, 9811, 267, 2328, 519, 3830, 538, 3044, 1106, 269, 476, 272, 269, 27976, 284, 277, 476, 278, 269, 586, 2443, 275, 284, 271, 476, 273, 13885, 284, 273, 268, 274, 343, 476, 276, 269, 586, 815, 910, 278, 1341, 476, 279, 269, 476, 276, 343, 1341, 476, 277, 344, 815, 476, 274, 343, 1341, 476, 273, 476, 274, 269, 476, 276, 343, 815, 586, 2443, 275, 476, 277, 269, 586, 815, 476, 274, 343, 273, 1341, 272, 476, 1321, 269, 476, 1428, 13885, 24210, 266, 275, 4855, 519, 1535, 268, 543, 586, 25435, 338, 540, 1142, 5276, 1599, 269, 476, 1556, 269, 2782, 2001, 520, 14292, 1770, 840, 7223, 3211, 1949, 540, 4834, 24275, 5276, 16526, 669, 335, 476, 274, 521, 326, 1883, 476, 1460, 331, 4194, 513, 1062, 676, 476, 272, 2259, 6061, 6045, 544, 1662, 1575, 2979, 1353, 635, 3113, 1227, 2376, 737, 7315, 30028, 476, 276, 6128, 5391, 516, 3667, 338, 2782, 2001, 520, 19019, 531, 5149, 2782, 2001, 520, 19019, 531, 5149, 2776, 10789, 6096, 7010, 2986, 12307, 8641, 532, 12430, 21153, 8017, 932, 335, 476, 274, 590, 326, 6206, 594, 343, 331, 16534, 3267, 30791, 4834, 1299, 11708, 1923, 10789, 476, 272, 1923, 4569, 1923, 16679, 9142, 269, 10789, 476, 272, 476, 1626, 4559, 5788, 476, 7277, 1983, 269, 5149, 476, 272, 10789, 13210, 269, 5149, 476, 273, 14572, 4834, 1299, 16526, 269, 5149, 476, 274, 11554, 609, 4559, 269, 5149, 476, 275, 12430, 4834, 1299, 11708, 269, 5149, 476, 276, 22553, 540, 5276, 4834, 269, 5149, 476, 277, 7010, 540, 4834, 7868, 4937, 4813, 540, 513, 7412, 269, 1284, 723, 2938, 602, 519, 2489, 1106, 540, 513, 5276, 3830, 538, 1079, 4632, 568, 4949, 266, 2421, 284, 322, 630, 4089, 476, 278, 269, 275, 1040, 1879, 713, 3830, 568, 12193, 585, 586, 267, 519, 4611, 1106, 568, 1572, 519, 9386, 25435, 1106, 269, 2462, 20584, 3529, 3889, 3973, 20586, 593, 519, 2451, 2427, 540, 519, 3830, 269, 16265, 847, 519, 476, 1015, 689, 519, 2451, 543, 1318, 2427, 269, 7053, 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 ]
[ 7342, 29139, 697, 8058, 29929, 267, 609, 12096, 517, 7674, 607, 519, 15795, 3984, 269, 634, 1397, 849, 6801, 2427, 330, 1157, 543, 3045, 1735, 1356, 19378, 11612, 326, 1231, 543, 2777, 6512, 634, 24306, 269, 634, 29139, 697, 8058, 568, 3812, 676, 15576, 773, 670, 1442, 1889, 9807, 543, 10324, 1790, 22004, 676, 700, 11448, 5760, 320, 1564, 269, 634, 1397, 5638, 689, 22456, 476, 277, 289, 538, 18842, 651, 325, 11839, 4741, 267, 1715, 3840, 4975, 267, 799, 568, 519, 1482, 18638, 538, 799, 29139, 697, 853, 18732, 10793, 14529, 541, 543, 1287, 634, 29139, 697, 8058, 853, 18732, 3627, 5500, 23663, 517, 941, 3812, 689, 476, 4198, 278, 2394, 476, 3192, 273, 563, 763, 17623, 8058, 609, 15537, 2051, 6975, 568, 606, 1977, 3735, 5991, 697, 3377, 543, 12666, 2797, 24337, 2911, 1397, 18799, 676, 15537, 2051, 6975, 267, 799, 6566, 328, 1229, 593, 5181, 476, 279, 267, 476, 1001, 276, 269, 21277, 1027, 676, 1975, 691, 2088, 8605, 687, 543, 595, 7034, 2289, 3930, 267, 621, 568, 519, 2034, 21767, 540, 595, 7034, 262, 17623, 8058, 29929, 269, 634, 1982, 568, 7148, 539, 693, 519, 3798, 590, 29229, 26308, 538, 1715, 3840, 4975, 543, 2011, 338, 2661, 547, 11746, 538, 1034, 772, 2529, 269, 6990, 3018, 333, 2074, 693, 476, 1556, 281, 3374, 533, 6230, 269, 21180, 270, 8976, 267, 607, 609, 922, 15712, 13343, 3240, 918, 9404, 601, 14970, 256, 543, 634, 29139, 697, 8058, 853, 18732, 13343, 3240, 12096, 517, 269, 898, 568, 519, 2034, 1034, 2914, 520, 3481, 3735, 5991, 697, 1397, 538, 519, 2136, 2276, 267, 1152, 1373, 20546, 539, 676, 16737, 5240, 262, 28066, 26709, 256, 563, 763, 17623, 8058, 568, 606, 1977, 3735, 5991, 697, 2911, 1397, 29929, 593, 595, 7034, 269, 898, 1101, 513, 1600, 538, 4864, 476, 1960, 274, 609, 3984, 6424, 14594, 2006, 267, 945, 5892, 18799, 17623, 13957, 609, 6424, 14594, 2006, 593, 715, 6195, 689, 476, 2735, 273, 547, 476, 1960, 274, 269, 14594, 2006, 781, 21767, 540, 519, 1982, 10443, 2394, 1010, 16468, 593, 2904, 476, 736, 267, 476, 1001, 276, 269, 1290, 539, 1014, 15537, 2051, 6975, 267, 1655, 1634, 585, 1010, 5107, 593, 1290, 9037, 6239, 3292, 634, 11545, 8058, 543, 634, 2051, 6975, 7797, 267, 10924, 16475, 11645, 602, 5181, 269, 634, 1397, 24865, 689, 519, 3798, 590, 29229, 26308, 538, 519, 26308, 10588, 540, 24607, 267, 1715, 3840, 267, 543, 2011, 338, 2661, 547, 11746, 538, 1034, 772, 2529, 269, 6990, 693, 476, 1556, 281, 3374, 533, 6230, 269, 8109, 543, 7414, 267, 476, 1015, 281, 3374, 538, 519, 6239, 543, 13738, 942, 10851, 563, 763, 715, 4774, 8058, 609, 32632, 12070, 3467, 568, 513, 476, 1001, 276, 1700, 1626, 1977, 3735, 5991, 697, 8470, 2911, 1397, 18799, 676, 32632, 12070, 3467, 602, 513, 1600, 585, 1079, 12405, 593, 1290, 9037, 6239, 269, 634, 1397, 729, 513, 8095, 11325, 540, 634, 11545, 8058, 267, 799, 12286, 12070, 3467, 607, 513, 18596, 23784, 269, 898, 513, 1600, 11728, 998, 13628, 693, 476, 1556, 281, 1789, 6751, 630, 4953, 264, 1739, 634, 11545, 8058, 269, 898, 6039, 607, 513, 10682, 585, 634, 2051, 6975, 7797, 267, 799, 513, 1600, 538, 519, 1482, 942, 1606, 14309, 689, 5239, 476, 1220, 276, 547, 5412, 476, 1001, 275, 269, 0, 296, 2219, 621, 729, 1271, 547, 4063, 602, 7323, 21701, 3576, 5413, 540, 713, 4316, 547, 4125, 1200, 1053, 543, 723, 873, 946, 741, 2979, 1983, 269, 1306, 4166, 607, 1909, 729, 3144, 267, 7323, 21701, 1185, 1200, 1053, 5965, 585, 741, 1101, 4305, 540, 519, 1554, 269, 2701, 19942, 856, 476, 274, 2984, 609, 2055, 693, 519, 1439, 585, 873, 547, 2626, 543, 5795, 1808, 5528, 269, 594, 1589, 621, 568, 849, 1271, 547, 4063, 602, 1352, 25009, 519, 1453, 547, 2681, 519, 5961, 593, 519, 2984, 950, 789, 941, 8737, 865, 602, 789, 1131, 581, 2111, 547, 3251, 11112, 269, 4495, 519, 1053, 8604, 547, 1174, 741, 4305, 543, 3459, 2324, 29367, 267, 7323, 21701, 1572, 519, 1101, 2542, 1895, 1394, 547, 519, 2542, 3349, 563, 2026, 519, 4116, 609, 513, 1390, 12837, 2097, 3330, 1200, 4055, 547, 26250, 1200, 1053, 267, 1287, 1352, 12857, 9887, 547, 873, 267, 3843, 1200, 1655, 547, 1745, 873, 20888, 543, 6899, 269, 10801, 519, 1153, 1296, 267, 1346, 1453, 1451, 875, 547, 1224, 267, 2328, 267, 543, 1514, 1125, 609, 1866, 609, 519, 5351, 540, 741, 4116, 269, 1306, 789, 1332, 4587, 267, 15508, 543, 9308, 267, 741, 1565, 4441, 1131, 4228, 543, 3986, 269, 3962, 1641, 4991, 2352, 1169, 1032, 269, 2859, 6881, 267, 4901, 267, 543, 7421, 606, 2376, 610, 1650, 602, 789, 1224, 538, 1362, 563, 296, 1705, 1250, 8343, 693, 9710, 864, 28553, 16504, 1153, 476, 273, 526, 3446, 4928, 269, 1879, 594, 9411, 519, 4928, 267, 594, 5433, 1360, 20888, 267, 11427, 11065, 2784, 2917, 1185, 782, 519, 1053, 10950, 803, 269, 898, 729, 513, 1360, 10477, 4928, 4988, 609, 519, 1453, 779, 1148, 960, 269, 634, 1453, 8604, 547, 1745, 1360, 6899, 1472, 1142, 824, 282, 789, 782, 7902, 547, 581, 14379, 1134, 269, 634, 3853, 540, 519, 1453, 538, 519, 1362, 4055, 616, 547, 8362, 7119, 543, 1174, 519, 1344, 6026, 563, 9515, 568, 6140, 538, 1200, 5604, 610, 4881, 689, 4928, 547, 4928, 267, 6158, 547, 519, 3610, 540, 519, 1053, 538, 700, 3722, 543, 5329, 3950, 540, 1018, 1142, 2875, 568, 2324, 593, 543, 814, 547, 2347, 269, 4841, 2097, 547, 519, 700, 3722, 547, 4309, 948, 609, 6780, 267, 2328, 4255, 267, 610, 1175, 547, 13793, 856, 543, 6001, 2429, 519, 1554, 269, 4107, 540, 519, 1053, 602, 594, 723, 1558, 538, 519, 4928, 3100, 4625, 3339, 855, 789, 2097, 547, 700, 3722, 454, 4002, 2275, 25283, 5049, 1118, 621, 4443, 547, 5968, 835, 6823, 14633, 609, 707, 4116, 269, 1403, 596, 991, 1022, 948, 610, 1175, 723, 513, 2243, 267, 596, 666, 3717, 547, 707, 4116, 1282, 1362, 543, 5924, 3717, 547, 513, 2875, 538, 707, 1362, 269, 7102, 10467, 602, 596, 1205, 666, 581, 6192, 538, 1362, 267, 593, 2275, 25283, 267, 610, 693, 1753, 267, 1287, 5828, 538, 547, 519, 4116, 269, 634, 2835, 2877, 585, 707, 5049, 616, 11262, 676, 596, 267, 865, 596, 666, 1118, 4967, 543, 5031, 519, 1257, 538, 519, 1433, 952, 596, 991, 269, 898, 568, 9875, 547, 22876, 2858, 3729, 1247, 2921, 5049, 593, 2275, 25283, 1317, 596, 2253, 519, 6780, 538, 1362, 630, 2865, 2053, 264, 543, 723, 519, 4116, 547, 5469, 952, 596, 1705, 610, 1705, 711, 10505, 707, 10467, 563, 10743, 1491, 17118, 543, 4255, 269, 769, 782, 540, 891, 2081, 267, 1647, 1153, 1058, 1745, 10169, 5432, 547, 1007, 1053, 269, 1717, 267, 972, 616, 930, 2462, 2242, 602, 1007, 1647, 1153, 1053, 1058, 581, 3222, 540, 269, 769, 10026, 1153, 267, 1053, 2356, 3251, 538, 519, 1482, 4928, 609, 835, 4116, 585, 1034, 540, 519, 1554, 269, 2334, 568, 711, 519, 2013, 538, 1647, 1153, 267, 1141, 1053, 3335, 723, 513, 1114, 4116, 585, 1142, 1641, 563, 5472, 1053, 685, 4690, 267, 9342, 267, 543, 2686, 10080, 616, 20888, 543, 12595, 269, 594, 1521, 782, 1053, 1226, 19935, 543, 2170, 543, 5968, 609, 873, 547, 1118, 873, 1745, 25374, 585, 267, 19557, 547, 267, 543, 15197, 269, 3733, 3646, 547, 4431, 547, 782, 2875, 2055, 543, 547, 2611, 3461, 543, 9350, 3565, 547, 1250, 4313, 532, 267, 22205, 4928, 1604, 269, 2311, 519, 4098, 540, 519, 1032, 267, 594, 5968, 1250, 3652, 543, 6788, 5693, 543, 2047, 269, 594, 2154, 1053, 543, 741, 3237, 547, 1129, 513, 4579, 17548, 602, 789, 723, 1224, 543, 1174, 1250, 8965, 543, 4081, 6788, 543, 4539, 563, 14399, 1745, 12595, 1317, 789, 616, 3478, 3238, 1369, 519, 2238, 538, 519, 4928, 269, 5753, 616, 8746, 1317, 789, 723, 9275, 547, 519, 1362, 2907, 543, 917, 602, 1004, 616, 2469, 547, 6432, 543, 711, 14902, 269, 16065, 917, 811, 827, 519, 1453, 1317, 693, 3237, 10543, 585, 1383, 789, 786, 917, 513, 2603, 811, 827, 873, 689, 519, 3237, 1317, 789, 666, 723, 513, 835, 547, 835, 10004, 609, 873, 269, 16844, 568, 9976, 799, 2337, 547, 2569, 7130, 1317, 519, 2038, 1296, 19995, 786, 1205, 3025, 3238, 1369, 519, 2534, 543, 786, 711, 4734, 4896, 856, 540, 454, 2467, 616, 930, 30973, 3283, 267, 2979, 3283, 267, 1153, 543, 4928, 3652, 267, 543, 519, 1153, 6859, 269, 634, 4116, 814, 513, 1804, 15262, 4604, 538, 519, 4395, 543, 1287, 513, 4130, 835, 602, 5654, 899, 3113, 1957, 269, 769, 519, 4395, 540, 519, 4055, 568, 513, 3349, 602, 814, 7727, 593, 621, 269, 898, 814, 22796, 267, 23445, 267, 26732, 267, 17710, 267, 543, 1957, 269, 634, 1053, 616, 4847, 547, 946, 8726, 789, 991, 689, 713, 3349, 563, 7628, 519, 11000, 267, 1352, 849, 1500, 1434, 946, 540, 5961, 543, 16841, 338, 269, 3973, 1352, 3459, 6998, 519, 1362, 2055, 593, 1018, 789, 2907, 917, 610, 1018, 789, 616, 9277, 547, 917, 607, 713, 538, 28129, 568, 16601, 543, 2016, 12422, 538, 713, 9744, 269, 594, 3494, 713, 1505, 5280, 519, 1362, 547, 2170, 543, 1205, 811, 3238, 538, 519, 1565, 1184, 269, 2701, 1031, 519, 1482, 1505, 2429, 519, 11000, 269, 898, 729, 3833, 7805, 602, 1352, 814, 18481, 12592, 519, 5234, 269, 0, 3849, 1066, 531, 9729, 673, 26217, 630, 3722, 290, 264, 568, 513, 4686, 2068, 269, 898, 568, 3361, 676, 606, 2333, 538, 2860, 538, 519, 29427, 16794, 267, 519, 9018, 4494, 540, 519, 29427, 15374, 269, 634, 29427, 15374, 616, 4092, 1657, 519, 14401, 269, 1358, 1404, 606, 1271, 1909, 538, 519, 25012, 1062, 267, 519, 1062, 602, 7472, 543, 21560, 10399, 269, 589, 6717, 568, 849, 1634, 607, 19076, 665, 677, 673, 26217, 563, 763, 29427, 16794, 7472, 10399, 602, 10038, 10307, 543, 1973, 2604, 269, 898, 849, 7472, 5256, 10399, 1572, 543, 5766, 839, 899, 23280, 543, 19697, 269, 589, 6717, 22262, 513, 1164, 2504, 540, 891, 10399, 563, 28716, 721, 585, 519, 1655, 2564, 32346, 6048, 693, 281, 0, 8310, 21213, 593, 5147, 476, 3066, 267, 476, 1001, 280, 267, 676, 552, 24687, 32000, 269, 6478, 4032, 281, 476, 9264, 454, 268, 29385, 781, 834, 24874, 594, 6425, 1938, 257, 630, 8146, 271, 1070, 2139, 538, 2835, 540, 1010, 6394, 6965, 267, 971, 607, 634, 7313, 564, 673, 3718, 540, 20182, 654, 754, 749, 29385, 630, 3192, 276, 1070, 568, 513, 4583, 6648, 827, 519, 2475, 306, 9139, 267, 513, 21829, 2782, 6928, 602, 729, 16516, 547, 581, 24905, 1194, 269, 5221, 540, 519, 7553, 602, 29385, 781, 6648, 13489, 1042, 538, 519, 2489, 1857, 267, 519, 6928, 729, 12873, 563, 268, 19716, 538, 519, 715, 12078, 11416, 630, 335, 21242, 538, 476, 7277, 276, 543, 1065, 11781, 539, 538, 476, 1960, 280, 1070, 676, 20152, 9509, 518, 267, 568, 513, 11495, 267, 791, 6842, 539, 267, 543, 1271, 18340, 960, 540, 22158, 602, 10404, 3278, 5256, 3834, 4531, 19192, 543, 7130, 1996, 2021, 543, 23083, 513, 3099, 540, 3435, 547, 5355, 2021, 781, 2924, 563, 268, 26637, 1408, 8316, 25079, 781, 3209, 634, 25753, 2280, 14594, 630, 6977, 271, 264, 568, 827, 513, 1126, 4535, 3544, 12311, 6674, 538, 4571, 5498, 1203, 7570, 10601, 11785, 543, 519, 16970, 3210, 547, 519, 3993, 676, 519, 14461, 569, 8830, 11939, 2146, 563, 268, 22361, 529, 5453, 520, 2917, 781, 6648, 834, 4002, 9861, 645, 3754, 689, 4000, 547, 3013, 257, 630, 8619, 269, 476, 12293, 278, 264, 3096, 8567, 547, 735, 601, 16543, 547, 723, 8296, 585, 519, 5449, 543, 1699, 3109, 10437, 538, 519, 2136, 2276, 563, 268, 834, 763, 4975, 538, 519, 7256, 2437, 676, 28089, 30129, 26766, 630, 8146, 272, 1070, 568, 513, 12357, 6648, 827, 513, 798, 15701, 14015, 2749, 269, 898, 568, 1759, 593, 513, 6426, 1650, 689, 519, 1433, 540, 19606, 269, 0, 19284, 519, 5841, 2960, 4122, 1031, 950, 2679, 11608, 267, 713, 2960, 568, 9800, 267, 1767, 1353, 1291, 2278, 1744, 334, 10202, 6875, 1276, 328, 267, 513, 7548, 593, 519, 1788, 538, 519, 4972, 540, 20996, 543, 12713, 10818, 531, 7010, 693, 519, 4659, 540, 11633, 7070, 269, 689, 519, 2160, 540, 19519, 563, 2108, 29670, 16164, 568, 519, 10700, 3070, 547, 1818, 11608, 1413, 543, 1745, 899, 2713, 7068, 2223, 6875, 1276, 328, 1767, 563, 14367, 1382, 2319, 8359, 513, 18951, 9416, 585, 519, 4603, 1317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13563, 11595, 10378, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 994, 2108, 3891, 729, 1634, 607, 513, 2204, 22940, 543, 8626, 27274, 15739, 564, 29904, 7806, 267, 855, 1354, 519, 7345, 540, 623, 12127, 535, 5362, 1723, 646, 1185, 2944, 2370, 585, 519, 1007, 7245, 543, 1185, 1100, 1483, 2631, 540, 1018, 1010, 12556, 1131, 581, 538, 519, 1007, 12512, 3034, 17606, 1058, 581, 7074, 602, 3223, 25702, 30738, 19085, 540, 14959, 568, 513, 2673, 12314, 540, 27211, 30532, 540, 519, 3765, 24887, 15509, 945, 814, 2919, 513, 12366, 958, 2205, 12040, 670, 276, 301, 272, 1234, 817, 24142, 4437, 578, 324, 777, 517, 4330, 538, 2204, 22940, 1469, 538, 519, 4728, 476, 2537, 267, 476, 1220, 276, 9931, 9335, 4750, 3034, 2108, 9961, 1010, 4876, 267, 7585, 729, 1634, 607, 513, 2204, 22940, 27637, 267, 513, 1390, 24933, 267, 543, 519, 2707, 540, 513, 11029, 538, 268, 2590, 2631, 540, 9644, 602, 729, 1419, 4503, 593, 519, 13999, 3034, 2108, 17442, 675, 1338, 267, 513, 5449, 8668, 11832, 689, 10507, 16303, 267, 3081, 8429, 1010, 1449, 729, 1813, 547, 519, 1489, 540, 1010, 6117, 14357, 267, 7247, 646, 6257, 607, 513, 2204, 22940, 3318, 945, 786, 539, 1864, 593, 5103, 741, 8994, 17140, 3034, 2108, 6546, 781, 1946, 13643, 568, 1419, 5219, 547, 607, 519, 2204, 22940, 2319, 6345, 3034, 2108, 307, 11336, 2142, 534, 6205, 10557, 674, 1046, 553, 2073, 7247, 5313, 21991, 12781, 4330, 607, 513, 834, 4621, 17026, 622, 12611, 3122, 2437, 729, 1336, 16944, 540, 3765, 1952, 10187, 908, 827, 1269, 274, 5479, 543, 3843, 547, 12611, 592, 1836, 3489, 811, 982, 1269, 20862, 2929, 689, 519, 2229, 781, 24410, 16940, 2667, 564, 28057, 5358, 538, 513, 8959, 4674, 547, 4412, 909, 20616, 3034, 2108, 20228, 2658, 543, 31042, 267, 519, 476, 5780, 4458, 6040, 18364, 568, 1655, 1634, 607, 513, 2204, 22940, 3868, 1807, 827, 8106, 2575, 267, 1034, 16113, 538, 1010, 834, 30789, 24143, 257, 3084, 8613, 3126, 585, 32282, 3034, 2108, 3528, 519, 6825, 569, 17498, 1242, 3044, 538, 519, 2250, 1079, 5756, 540, 1018, 10596, 585, 12666, 7158, 593, 2152, 267, 19994, 657, 328, 666, 581, 1572, 519, 2204, 22940, 12666, 3034, 10527, 21981, 538, 519, 4693, 267, 799, 568, 16144, 585, 3803, 7440, 607, 2038, 607, 13638, 267, 7125, 883, 2243, 2436, 6004, 269, 4258, 2284, 267, 1634, 607, 513, 2204, 22940, 3330, 6345, 267, 13234, 607, 3927, 607, 1010, 10639, 1131, 3180, 3034, 2108, 4596, 8008, 2207, 281, 1879, 8845, 15966, 548, 961, 534, 729, 6519, 5600, 2046, 23122, 267, 646, 729, 1634, 607, 519, 2204, 22940, 10121, 2319, 6345, 3034, 4322, 3593, 29931, 730, 8638, 2270, 519, 2262, 2048, 4621, 17026, 622, 17483, 763, 1913, 593, 713, 1592, 20389, 2834, 338, 602, 594, 10093, 1405, 15044, 543, 19882, 2943, 269, 898, 781, 899, 1250, 2262, 344, 8066, 4050, 269, 1205, 621, 286, 8066, 519, 4050, 547, 2328, 513, 2262, 286, 22743, 256, 594, 2648, 875, 561, 877, 1250, 9644, 568, 563, 288, 2347, 4446, 1258, 781, 6478, 4289, 585, 24321, 7041, 269, 2659, 2228, 8755, 15258, 10682, 563, 4322, 2097, 689, 18325, 9066, 2073, 296, 1589, 563, 24552, 5627, 5022, 538, 5311, 267, 1927, 610, 6306, 267, 602, 1106, 513, 4214, 610, 3236, 540, 519, 7449, 11167, 2262, 269, 661, 3052, 1421, 598, 307, 8649, 2562, 320, 5938, 815, 519, 737, 30865, 5622, 2262, 269, 25526, 19860, 815, 519, 3675, 5674, 269, 27484, 689, 513, 12924, 307, 2473, 30087, 4429, 294, 3918, 1913, 689, 23134, 5623, 3391, 267, 661, 4811, 24321, 3883, 689, 476, 1001, 271, 630, 1721, 15428, 1449, 1070, 1715, 3840, 518, 21610, 312, 8648, 4930, 563, 7069, 1592, 540, 1913, 563, 19185, 585, 17408, 1115, 585, 2204, 22940, 269, 0, 4596, 299, 28421, 16249, 3377, 689, 2229, 2959, 5170, 547, 581, 2352, 538, 25157, 2221, 267, 3274, 1317, 930, 2959, 20549, 547, 7866, 1344, 585, 4128, 1655, 547, 1634, 547, 2933, 563, 2690, 1383, 267, 513, 1883, 7128, 2707, 5063, 15189, 547, 6085, 593, 513, 1650, 602, 513, 19784, 729, 1818, 513, 1246, 5346, 267, 7282, 7091, 3912, 538, 835, 540, 519, 2749, 2861, 3119, 3506, 269, 634, 9137, 476, 866, 540, 519, 17629, 16672, 593, 5274, 7126, 630, 11070, 16281, 264, 18715, 519, 1318, 547, 5191, 540, 4082, 269, 634, 2376, 2829, 602, 3025, 814, 519, 1318, 547, 5191, 540, 6644, 543, 4082, 282, 713, 1318, 2882, 519, 1318, 547, 3180, 8369, 1510, 13779, 543, 547, 3343, 267, 4309, 543, 18836, 1344, 543, 2093, 998, 1022, 2923, 543, 7488, 540, 4395, 4536, 563, 4913, 267, 513, 1297, 540, 14074, 2285, 930, 9993, 547, 519, 2923, 8075, 269, 1452, 1331, 28142, 513, 2923, 17752, 547, 13739, 3377, 602, 17908, 3604, 1759, 593, 7990, 267, 14940, 267, 4984, 267, 4008, 610, 9659, 610, 602, 10178, 23998, 269, 9137, 476, 866, 849, 3081, 602, 15571, 267, 27657, 543, 5769, 10473, 1590, 705, 728, 676, 3318, 3009, 540, 7881, 267, 1514, 2418, 543, 23261, 534, 1014, 2528, 269, 634, 2376, 1202, 1235, 602, 15571, 543, 27657, 15961, 1058, 3895, 4708, 267, 9322, 267, 1927, 1145, 543, 3084, 3354, 563, 257, 299, 16722, 547, 581, 1031, 538, 5925, 543, 8613, 13739, 538, 519, 2197, 568, 2296, 543, 4210, 1695, 8270, 269, 17721, 24804, 15571, 543, 27657, 10473, 1590, 7119, 4628, 538, 3084, 2679, 543, 538, 3084, 11044, 543, 12469, 2580, 3081, 519, 2376, 538, 851, 269, 5769, 3028, 7426, 616, 849, 5143, 547, 13104, 1453, 689, 2942, 1198, 540, 4950, 563, 7712, 25157, 25189, 922, 7115, 538, 476, 3422, 272, 267, 519, 2229, 814, 1044, 20678, 547, 1118, 2386, 602, 519, 2923, 1568, 10446, 267, 1498, 972, 723, 1044, 930, 23665, 1934, 543, 972, 269, 5518, 27526, 699, 516, 32524, 1134, 609, 20859, 543, 646, 11967, 873, 269, 3143, 4898, 646, 6069, 513, 5449, 9375, 267, 18148, 631, 330, 23981, 267, 547, 1831, 513, 7022, 269, 27526, 699, 516, 1419, 1572, 20859, 538, 1010, 2777, 543, 5941, 609, 873, 513, 1297, 540, 3084, 2152, 269, 3571, 24288, 18498, 670, 28045, 631, 342, 4176, 328, 15197, 519, 2923, 563, 7197, 2923, 8075, 941, 3964, 1282, 1010, 12081, 543, 646, 729, 27031, 1256, 950, 646, 729, 22309, 269, 589, 20419, 602, 13269, 1864, 15472, 693, 519, 3084, 30806, 1247, 519, 7210, 941, 12955, 693, 15719, 12494, 8270, 3084, 11233, 729, 2864, 1208, 8270, 908, 267, 855, 646, 2760, 15034, 519, 9375, 540, 602, 1880, 1715, 4944, 1653, 269, 5518, 918, 1731, 342, 23176, 814, 849, 1044, 27031, 267, 1256, 950, 11874, 4080, 676, 930, 6810, 540, 519, 2923, 269, 1261, 814, 2813, 1434, 2324, 2078, 609, 1312, 519, 4357, 543, 1857, 2923, 563, 5278, 6241, 1235, 723, 22309, 1864, 607, 789, 1616, 267, 855, 646, 814, 711, 19531, 730, 873, 269, 634, 2923, 814, 1044, 4730, 922, 1909, 538, 713, 2197, 3927, 267, 543, 950, 930, 14761, 610, 824, 5604, 581, 31600, 723, 8854, 4636, 267, 519, 2923, 814, 711, 11688, 18469, 547, 6318, 922, 5639, 269, 1280, 1383, 267, 519, 1544, 676, 519, 2817, 13909, 547, 3247, 2661, 3795, 540, 25931, 18659, 3576, 513, 536, 4770, 689, 14761, 267, 15628, 543, 2923, 8639, 2038, 713, 1032, 269, 634, 1847, 729, 5180, 569, 28715, 607, 606, 3801, 547, 20912, 23261, 534, 2103, 519, 1318, 547, 1344, 563, 21156, 540, 7836, 922, 942, 543, 1648, 18594, 1681, 3795, 540, 25931, 18659, 267, 519, 2229, 729, 15695, 267, 621, 1058, 12517, 2232, 14227, 2042, 6849, 1004, 269, 634, 15445, 14199, 540, 519, 9012, 7027, 540, 25157, 630, 300, 6311, 1070, 6004, 918, 1690, 889, 328, 631, 4157, 1690, 18553, 267, 15527, 602, 519, 2386, 560, 1259, 729, 547, 2327, 602, 16840, 540, 12057, 616, 6534, 547, 741, 1528, 832, 2864, 982, 13104, 873, 269, 834, 4415, 519, 645, 25128, 5718, 15034, 540, 851, 529, 15201, 267, 945, 786, 3972, 971, 13739, 338, 8119, 646, 4280, 563, 257, 8489, 568, 519, 17258, 8119, 6004, 631, 4157, 1690, 18553, 2417, 9289, 281, 834, 6701, 649, 16144, 2509, 24890, 286, 4024, 972, 581, 12879, 540, 1344, 286, 1548, 786, 581, 4847, 547, 979, 593, 2011, 543, 1018, 786, 711, 581, 4847, 286, 1656, 267, 952, 606, 12463, 941, 547, 2769, 8369, 602, 616, 711, 7957, 24461, 547, 1346, 1412, 539, 1746, 262, 538, 519, 645, 25128, 5604, 267, 786, 789, 581, 4847, 547, 979, 593, 2011, 8119, 634, 1849, 17064, 540, 519, 2817, 13909, 729, 7508, 519, 1448, 267, 646, 3773, 267, 1317, 519, 1004, 4941, 547, 917, 4010, 875, 741, 9777, 2209, 1969, 539, 563, 2005, 729, 1310, 602, 5114, 602, 519, 1849, 17064, 540, 519, 25157, 2817, 13909, 267, 3220, 7338, 20629, 559, 559, 1695, 267, 1185, 547, 12172, 593, 519, 4080, 11556, 547, 7333, 2661, 13739, 338, 540, 5600, 18659, 269, 1261, 9783, 513, 3948, 602, 1767, 519, 2817, 13909, 1185, 711, 6069, 547, 7333, 2661, 3795, 855, 3079, 786, 711, 1450, 8613, 543, 5925, 10473, 547, 12334, 3786, 543, 3888, 3937, 3330, 12057, 22402, 269, 1261, 7074, 602, 782, 945, 1616, 547, 10141, 2661, 5600, 18659, 786, 723, 547, 1205, 2312, 3049, 689, 12057, 799, 786, 1450, 873, 547, 979, 593, 2011, 2661, 563, 1607, 786, 1611, 602, 782, 4830, 10473, 786, 723, 547, 1118, 798, 609, 1018, 12057, 786, 3049, 873, 547, 2011, 18659, 2661, 269, 3220, 20629, 559, 559, 1695, 3773, 602, 1010, 5604, 1131, 581, 7722, 538, 519, 6388, 540, 513, 3102, 1344, 6765, 10325, 547, 3914, 782, 693, 741, 9757, 19206, 269, 834, 7437, 4824, 2792, 2029, 267, 649, 630, 1706, 8365, 264, 723, 3323, 2011, 532, 2661, 3381, 4174, 6137, 998, 519, 14618, 3896, 543, 2407, 7521, 538, 14618, 568, 3015, 547, 782, 2437, 1224, 851, 540, 519, 3948, 563, 257, 2026, 585, 1346, 5827, 547, 7001, 5925, 6771, 267, 789, 666, 3095, 909, 609, 519, 645, 25128, 15571, 16516, 585, 22305, 4851, 16172, 609, 18487, 3795, 538, 1840, 547, 8989, 513, 1600, 676, 570, 6195, 476, 272, 267, 18917, 267, 5254, 2752, 3092, 2437, 519, 3948, 2417, 1767, 269, 1261, 14129, 602, 519, 1699, 11460, 786, 3136, 543, 782, 7641, 10473, 15868, 547, 2011, 519, 18659, 2661, 786, 798, 865, 1510, 9993, 269, 834, 1607, 568, 851, 540, 519, 6876, 1063, 645, 25128, 543, 519, 25157, 9442, 543, 27943, 16958, 630, 12839, 6938, 1070, 257, 646, 1767, 563, 307, 11961, 16492, 3798, 6002, 262, 17072, 630, 307, 9128, 264, 2968, 519, 5767, 5639, 10990, 532, 609, 519, 11556, 547, 7333, 2661, 13739, 338, 540, 5600, 18659, 269, 634, 15769, 1572, 593, 519, 2817, 13909, 547, 30603, 519, 2990, 267, 6031, 602, 621, 1131, 1860, 519, 2208, 540, 9111, 538, 519, 2197, 269, 18601, 20859, 538, 11023, 1965, 6428, 320, 600, 2073, 519, 30626, 540, 570, 9128, 267, 6004, 12559, 531, 558, 918, 756, 7701, 267, 1767, 602, 6388, 540, 519, 1544, 1131, 17225, 4879, 540, 1004, 781, 13222, 538, 519, 14618, 563, 257, 307, 9128, 11099, 602, 31076, 960, 568, 711, 9277, 547, 581, 24892, 676, 519, 14618, 2437, 646, 1767, 269, 898, 1058, 581, 7074, 602, 25157, 568, 835, 540, 1906, 2477, 538, 1016, 25781, 4000, 1141, 519, 2046, 568, 15866, 4843, 538, 519, 4013, 543, 3084, 1893, 540, 519, 2197, 267, 799, 4523, 547, 581, 918, 529, 342, 1695, 8270, 269, 898, 568, 1934, 1141, 519, 3988, 1222, 568, 4628, 2148, 622, 538, 602, 1893, 269, 1703, 616, 4128, 585, 713, 267, 602, 568, 12600, 547, 25157, 267, 607, 519, 2197, 814, 4810, 3140, 2621, 602, 723, 711, 7018, 11992, 563, 20684, 476, 1240, 540, 519, 9139, 18715, 1169, 23261, 534, 1014, 519, 1318, 547, 5191, 540, 6644, 543, 4082, 269, 634, 1715, 4944, 1653, 2920, 540, 476, 3192, 277, 2636, 8128, 1369, 519, 2229, 4534, 1519, 519, 7022, 4534, 519, 1379, 547, 10238, 527, 12326, 602, 1522, 581, 16363, 547, 711, 581, 538, 519, 4182, 781, 1655, 1719, 269, 3958, 267, 519, 476, 1960, 274, 16340, 26511, 7896, 2920, 2488, 602, 4357, 3376, 322, 7539, 616, 1152, 4847, 547, 6494, 741, 6786, 547, 476, 1839, 829, 1298, 540, 519, 2197, 269, 23261, 534, 1014, 14786, 723, 1044, 21230, 10728, 538, 741, 8989, 563, 5445, 1745, 3833, 1863, 547, 29153, 827, 17531, 29386, 14413, 638, 2329, 267, 543, 1514, 2175, 269, 1358, 979, 865, 2484, 607, 547, 1865, 9111, 538, 6240, 269, 1358, 616, 811, 6297, 538, 15819, 519, 2229, 538, 1379, 269, 1358, 1522, 2769, 513, 13283, 585, 835, 2229, 14012, 936, 1776, 269, 1358, 616, 811, 7255, 827, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29684, 10824, 269, 1452, 10824, 1847, 1360, 7444, 630, 3286, 513, 1906, 17744, 829, 1032, 14386, 1813, 547, 28681, 14768, 538, 519, 5817, 25136, 269, 1879, 789, 2458, 728, 610, 13472, 6306, 267, 621, 3123, 2621, 899, 16767, 543, 15027, 2534, 780, 305, 4169, 543, 30200, 454, 2411, 13430, 3086, 1577, 781, 2911, 827, 519, 2679, 7161, 540, 519, 3047, 281, 7725, 543, 6886, 269, 32520, 2097, 538, 1082, 5546, 267, 7306, 267, 4778, 267, 543, 18282, 267, 855, 782, 7725, 2671, 835, 3364, 538, 1455, 9789, 344, 616, 1500, 909, 540, 6263, 26543, 3889, 1572, 6886, 269, 1703, 616, 5215, 540, 1634, 6886, 267, 855, 1152, 513, 19625, 616, 1898, 585, 1818, 519, 1034, 1455, 2010, 540, 7725, 281, 24348, 267, 23009, 545, 267, 543, 5337, 15667, 269, 20767, 21747, 7725, 1106, 950, 1507, 5536, 540, 5070, 267, 521, 2830, 267, 543, 10036, 7017, 856, 540, 1216, 610, 2011, 543, 1831, 11741, 539, 936, 942, 269, 5450, 18982, 545, 7725, 1376, 607, 2901, 24348, 610, 5337, 15667, 7725, 267, 855, 7920, 3002, 543, 2604, 2014, 873, 547, 1689, 883, 1007, 3029, 269, 16384, 928, 748, 7725, 616, 2813, 950, 29351, 630, 28485, 1084, 4224, 264, 3579, 338, 543, 4396, 5809, 267, 2901, 11895, 610, 593, 519, 2627, 607, 23419, 780, 291, 29174, 22948, 454, 2411, 692, 7661, 267, 1577, 781, 4983, 930, 540, 519, 6909, 4229, 602, 3337, 938, 4541, 269, 26439, 3996, 267, 16767, 267, 26949, 1938, 267, 543, 17160, 1522, 3100, 16160, 267, 855, 789, 1404, 2629, 5107, 538, 5935, 8916, 543, 2870, 1007, 9249, 585, 2713, 1919, 269, 1280, 1383, 267, 15027, 11849, 2488, 5567, 585, 3037, 267, 1247, 16767, 666, 12740, 909, 13980, 540, 519, 3047, 781, 12933, 267, 8108, 7823, 9832, 269, 3683, 1279, 5712, 267, 2842, 267, 1216, 267, 543, 4672, 9380, 23898, 267, 1286, 557, 856, 23572, 267, 543, 5957, 2476, 15113, 1938, 267, 4657, 519, 3068, 540, 519, 5251, 3787, 676, 3787, 780, 2026, 596, 666, 1294, 267, 20569, 568, 2407, 540, 4241, 8906, 543, 4030, 883, 519, 2067, 1686, 540, 938, 5863, 4541, 269, 1924, 1985, 942, 596, 979, 3544, 267, 1491, 513, 4090, 547, 5660, 519, 5898, 540, 519, 7725, 9944, 707, 3952, 267, 6616, 602, 596, 2811, 7555, 593, 513, 6422, 267, 7683, 9687, 1158, 1175, 7996, 547, 7866, 922, 11580, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12283, 13256, 476, 13136, 4937, 30578, 28946, 1080, 281, 476, 274, 454, 10481, 1108, 568, 519, 1353, 540, 3047, 267, 519, 2326, 602, 1118, 909, 519, 3047, 267, 543, 519, 4229, 543, 3157, 602, 1628, 543, 3337, 519, 17407, 267, 12084, 267, 543, 1272, 593, 3047, 269, 634, 3804, 540, 713, 1576, 568, 585, 1053, 547, 2744, 606, 1620, 540, 519, 4909, 2035, 543, 3621, 3741, 602, 896, 12340, 519, 2168, 267, 3114, 267, 543, 6211, 3157, 602, 3337, 938, 3047, 543, 547, 1451, 547, 1589, 9691, 827, 3621, 1344, 543, 875, 27230, 3157, 1860, 721, 1169, 1554, 563, 12283, 13256, 476, 13136, 910, 631, 5588, 305, 23817, 5357, 476, 1911, 281, 30578, 454, 12283, 13256, 476, 13136, 299, 4937, 30578, 12524, 28946, 1080, 281, 476, 273, 454, 299, 1987, 2218, 543, 2361, 13753, 540, 3741, 540, 519, 20569, 2966, 547, 9148, 519, 3584, 4988, 538, 23817, 13256, 476, 13136, 998, 519, 946, 540, 14374, 2861, 13753, 538, 519, 8047, 543, 2361, 563, 12283, 13256, 476, 13136, 299, 910, 631, 5588, 305, 23817, 5357, 476, 1911, 299, 281, 30578, 609, 6997, 454, 12283, 13256, 476, 7742, 299, 12197, 10613, 538, 3047, 543, 7025, 3163, 28946, 1080, 281, 476, 274, 454, 288, 2361, 2861, 1576, 8720, 2596, 2409, 1031, 676, 3618, 3744, 585, 26195, 597, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1626, 281, 10289, 22383, 543, 18753, 26358, 281, 9045, 790, 543, 12559, 6324, 1143, 692, 5970, 596, 2479, 13603, 909, 513, 13371, 1433, 610, 8642, 3209, 543, 1044, 27086, 676, 519, 6909, 2984, 543, 11247, 286, 22383, 666, 1491, 721, 593, 3552, 9035, 543, 6338, 721, 547, 4241, 3197, 267, 782, 1247, 1210, 513, 2189, 4999, 540, 2592, 543, 1913, 269, 769, 713, 3184, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 14676, 543, 2263, 1079, 1808, 2010, 281, 30237, 673, 14676, 543, 21494, 626, 9644, 14676, 780, 4089, 476, 272, 281, 1548, 616, 14676, 543, 8642, 9089, 888, 14343, 15365, 4467, 923, 616, 18615, 1148, 4773, 602, 946, 12383, 267, 3061, 687, 267, 4633, 18616, 267, 543, 824, 3308, 2609, 547, 2995, 513, 1650, 269, 1358, 1419, 2408, 538, 14786, 607, 13371, 17446, 610, 538, 3476, 12043, 1572, 13371, 2835, 269, 1879, 1896, 13371, 1433, 2152, 616, 3808, 1927, 267, 789, 1711, 513, 8642, 3209, 780, 4089, 476, 273, 281, 4197, 24337, 538, 14676, 454, 14343, 7042, 25823, 790, 568, 513, 1259, 540, 10404, 1944, 2486, 267, 1004, 267, 610, 3871, 676, 1210, 9644, 267, 20451, 267, 608, 12000, 3130, 267, 610, 7759, 545, 2544, 269, 9045, 597, 673, 14676, 3180, 513, 11604, 909, 547, 938, 1158, 267, 10223, 922, 20924, 543, 21494, 885, 547, 8300, 1689, 543, 8086, 269, 1452, 14676, 949, 1445, 593, 2797, 2621, 267, 1514, 8155, 267, 610, 1480, 2623, 267, 2141, 17935, 547, 28596, 2219, 543, 17409, 780, 2162, 7151, 281, 27869, 543, 20122, 15816, 454, 9773, 9109, 543, 20122, 15816, 267, 2813, 676, 9291, 20242, 1562, 517, 267, 2934, 513, 3765, 2151, 31773, 7911, 3957, 27869, 543, 1010, 10236, 25806, 20259, 3659, 267, 20122, 15816, 269, 2755, 711, 16765, 569, 2797, 267, 1082, 540, 741, 15413, 3547, 1093, 651, 1187, 693, 4948, 20825, 267, 7082, 2528, 267, 543, 10952, 2055, 1765, 14708, 621, 513, 1390, 1383, 540, 11029, 24337, 780, 4089, 476, 274, 281, 667, 1516, 883, 21494, 626, 9644, 14676, 454, 14343, 19030, 27028, 6324, 626, 9644, 14676, 4161, 7954, 543, 7787, 640, 267, 2870, 20060, 839, 673, 6386, 2966, 547, 9983, 543, 27873, 3988, 269, 1635, 8840, 14908, 543, 6788, 267, 891, 14676, 5000, 5876, 543, 3312, 3206, 780, 2162, 7151, 281, 634, 10787, 17121, 454, 763, 10787, 17121, 267, 6537, 676, 27722, 700, 1513, 517, 267, 20502, 30642, 543, 14973, 2582, 1790, 534, 601, 27977, 4904, 609, 29737, 7068, 267, 6397, 23538, 267, 543, 554, 559, 13895, 24362, 6050, 269, 901, 14262, 3126, 9727, 519, 1379, 540, 21494, 626, 9644, 538, 8220, 609, 9458, 998, 19511, 543, 20437, 7653, 780, 4089, 476, 275, 281, 24732, 268, 4002, 11314, 910, 12861, 2659, 13574, 1290, 545, 853, 8692, 454, 32458, 14945, 3086, 602, 596, 1174, 519, 2035, 540, 24337, 543, 21494, 626, 9644, 267, 2119, 707, 1688, 693, 13167, 707, 1378, 13371, 14816, 256, 1411, 666, 3442, 547, 6451, 835, 610, 1312, 6163, 538, 707, 960, 269, 10670, 676, 23730, 2093, 1759, 593, 1699, 2621, 267, 2123, 7422, 267, 610, 3274, 1577, 707, 9345, 2196, 3552, 269, 28220, 856, 11315, 31585, 267, 13217, 873, 267, 543, 2671, 707, 13144, 609, 15032, 2439, 3528, 3695, 14676, 543, 8642, 9089, 267, 596, 4312, 24389, 593, 606, 7499, 3460, 2407, 540, 18854, 267, 7326, 267, 543, 4898, 269, 1924, 979, 6619, 267, 4584, 909, 513, 13371, 2221, 267, 543, 2972, 519, 3501, 11100, 540, 5961, 543, 18340, 602, 6645, 8903, 8941, 899, 1100, 824, 5420, 666, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4467, 545, 268, 3519, 568, 2469, 5691, 713, 1032, 267, 543, 1498, 519, 476, 1708, 271, 3888, 618, 540, 519, 5993, 2680, 3884, 1406, 2921, 1747, 538, 519, 8912, 5842, 17630, 13482, 4741, 267, 519, 14232, 1290, 545, 268, 3519, 287, 12709, 13037, 786, 1869, 4183, 7899, 540, 8440, 543, 1164, 3491, 12803, 4803, 6002, 563, 30631, 25696, 723, 13175, 547, 14773, 519, 8430, 585, 519, 14232, 5691, 2680, 267, 799, 786, 581, 1863, 543, 1930, 547, 519, 1857, 269, 6744, 2630, 585, 519, 1290, 545, 268, 3519, 8430, 630, 718, 2053, 616, 7414, 9208, 2187, 10481, 2131, 3633, 281, 1234, 3613, 528, 1221, 281, 1234, 268, 19960, 1456, 3860, 17979, 281, 589, 4901, 827, 3478, 811, 3309, 9739, 883, 9913, 543, 875, 519, 2239, 5251, 568, 9687, 538, 3506, 267, 1272, 12644, 267, 543, 3059, 2833, 563, 22826, 543, 4804, 609, 22383, 281, 19626, 17340, 1479, 344, 630, 21545, 1633, 3557, 2160, 1070, 543, 1323, 614, 334, 25661, 807, 630, 1805, 534, 5112, 2160, 264, 786, 1291, 513, 8470, 593, 519, 4052, 2238, 543, 3069, 3238, 538, 3450, 609, 14676, 563, 763, 5295, 540, 12243, 1740, 538, 8866, 22383, 281, 22319, 13198, 523, 18708, 12462, 291, 16400, 14208, 3591, 14615, 568, 8678, 676, 932, 611, 590, 749, 12462, 25205, 4580, 8003, 14615, 543, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 9045, 790, 1315, 12559, 6324, 626, 9966, 528, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 4477, 2381, 628, 1108, 256, 901, 7936, 540, 2564, 8934, 527, 1108, 9388, 609, 21431, 3697, 7103, 1572, 927, 2381, 2195, 602, 666, 3468, 3425, 543, 2831, 269, 1452, 17494, 2097, 538, 1114, 5546, 543, 7306, 855, 3622, 1413, 899, 6094, 30653, 610, 16060, 269, 2368, 1455, 2010, 540, 927, 2381, 2195, 616, 6366, 19095, 267, 5180, 19095, 267, 11746, 19095, 267, 543, 2770, 651, 19095, 269, 4653, 267, 649, 3513, 2263, 891, 5863, 7068, 543, 1451, 827, 741, 2729, 3330, 938, 4703, 780, 5575, 267, 1577, 781, 2911, 827, 29712, 3941, 267, 849, 1634, 607, 5180, 19095, 269, 715, 14670, 3941, 616, 2706, 4277, 1317, 789, 616, 2356, 25251, 267, 2495, 972, 616, 5256, 543, 4775, 17494, 269, 1411, 1522, 4898, 875, 596, 666, 2995, 873, 6306, 2094, 1004, 1419, 2161, 8695, 543, 6690, 1413, 7567, 269, 4270, 267, 621, 781, 3833, 2653, 950, 621, 2501, 547, 29712, 3941, 256, 22503, 17494, 616, 3335, 4130, 982, 8951, 543, 723, 2189, 2934, 899, 513, 18761, 610, 554, 10541, 15493, 1439, 269, 1358, 949, 1256, 4163, 2027, 2645, 267, 1572, 838, 545, 2737, 267, 1031, 585, 20282, 1107, 4952, 2348, 2370, 32639, 593, 707, 19758, 728, 256, 3958, 267, 5256, 29712, 3941, 723, 1175, 835, 610, 3006, 1079, 1449, 2873, 4092, 2282, 519, 9133, 540, 741, 1560, 267, 1141, 14203, 2281, 1020, 1354, 1373, 5950, 780, 3086, 267, 1946, 1131, 4896, 1616, 547, 1353, 891, 6263, 530, 3419, 16744, 7068, 286, 4197, 927, 2381, 2195, 2337, 721, 2149, 6000, 1996, 3676, 3361, 676, 891, 28164, 269, 1280, 1383, 267, 3744, 4362, 513, 1826, 540, 3644, 1336, 538, 519, 31997, 540, 7783, 2043, 1282, 519, 2038, 5933, 540, 513, 2068, 1572, 22031, 22807, 589, 269, 1635, 4974, 713, 3644, 267, 3173, 941, 2111, 547, 1711, 10368, 4255, 547, 3713, 952, 2576, 1185, 1044, 6534, 547, 519, 10351, 269, 5994, 1373, 513, 19792, 6061, 13655, 1369, 938, 1378, 4703, 256, 2334, 781, 1018, 3744, 798, 1169, 1554, 2439, 3383, 1985, 942, 596, 5873, 827, 1346, 9490, 702, 3240, 1919, 4929, 8373, 538, 30152, 4025, 267, 3314, 519, 6909, 2984, 3297, 873, 269, 5808, 6487, 1765, 16673, 2041, 14693, 9358, 786, 1831, 513, 10196, 26500, 11580, 540, 891, 14263, 9908, 2261, 12069, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1511, 10937, 31226, 527, 1108, 21584, 281, 1215, 547, 5192, 519, 476, 276, 628, 9990, 540, 713, 6481, 31226, 527, 1108, 30930, 585, 5131, 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 ]
[ 267, 855, 4986, 827, 519, 10826, 269, 901, 3668, 540, 1344, 949, 723, 547, 798, 609, 519, 1249, 602, 4892, 6108, 1269, 27088, 5479, 513, 1032, 547, 1521, 3987, 267, 1269, 2568, 5479, 513, 1032, 593, 2597, 2000, 1601, 3292, 267, 543, 1269, 14862, 5479, 513, 1032, 593, 15165, 3536, 269, 901, 568, 827, 476, 274, 260, 540, 519, 2475, 4346, 256, 5221, 865, 1082, 9082, 685, 24454, 616, 6462, 676, 3987, 543, 922, 1292, 2014, 267, 8377, 267, 519, 10194, 1198, 540, 1004, 3478, 23174, 543, 10213, 1866, 568, 7494, 21022, 269, 0, 8702, 547, 707, 12353, 9570, 540, 634, 14844, 1755, 12949, 545, 28881, 256, 3962, 3018, 649, 1865, 513, 1114, 10786, 610, 1426, 543, 1451, 875, 547, 6451, 873, 883, 707, 2732, 547, 28231, 922, 1072, 2640, 269, 901, 3018, 568, 782, 827, 13386, 563, 306, 1195, 4016, 547, 519, 17580, 851, 540, 29704, 2030, 602, 568, 6738, 2429, 519, 1158, 607, 606, 20522, 2707, 540, 3940, 269, 5221, 540, 922, 27763, 3395, 4238, 543, 4105, 2956, 547, 519, 4207, 1426, 3761, 267, 519, 29704, 729, 1851, 519, 1101, 7031, 547, 10929, 4719, 12381, 269, 2290, 540, 519, 4719, 3986, 906, 729, 1500, 547, 1331, 10892, 547, 519, 10786, 8336, 18471, 10000, 269, 26597, 2090, 723, 5532, 713, 1587, 609, 2942, 1072, 543, 2825, 4539, 267, 1519, 1373, 10294, 513, 2693, 1480, 15910, 4094, 676, 519, 2622, 2657, 9257, 269, 272, 17497, 267, 1472, 476, 11463, 260, 540, 13386, 28369, 6738, 538, 519, 2475, 616, 16220, 9168, 269, 273, 5221, 540, 713, 267, 621, 568, 1271, 547, 4444, 5214, 13386, 28369, 267, 799, 616, 606, 5140, 2707, 540, 3940, 543, 2097, 14095, 609, 1072, 2640, 2336, 8489, 1281, 13386, 2097, 689, 286, 7316, 666, 594, 1265, 621, 888, 306, 1195, 28369, 12090, 538, 14913, 5607, 267, 543, 941, 1101, 30042, 676, 4457, 6705, 827, 476, 274, 267, 1822, 1296, 3516, 269, 4595, 1287, 267, 789, 723, 20406, 6591, 8560, 538, 3592, 1169, 2197, 269, 26478, 6444, 13386, 607, 513, 1942, 15807, 543, 2635, 3940, 2707, 585, 13184, 269, 590, 1195, 568, 849, 4122, 9268, 883, 1082, 1114, 3029, 602, 1118, 741, 1259, 538, 547, 519, 1426, 3761, 563, 3528, 2484, 267, 519, 1655, 1259, 547, 8532, 13386, 568, 689, 23017, 13386, 28369, 267, 31949, 267, 610, 13386, 5144, 1765, 718, 5214, 540, 1576, 256, 1452, 2472, 666, 3335, 581, 1336, 693, 1034, 2101, 17365, 8637, 267, 1498, 596, 949, 1152, 1265, 5214, 13386, 2472, 538, 1072, 1426, 8637, 269, 4425, 6150, 13386, 28369, 630, 10193, 1634, 607, 1196, 600, 877, 264, 616, 1419, 1336, 13792, 267, 855, 5214, 8677, 949, 711, 607, 3362, 581, 1336, 563, 1692, 1281, 13386, 948, 1250, 1072, 888, 8253, 1152, 568, 13386, 606, 5140, 2707, 540, 3940, 267, 2635, 9600, 543, 513, 3099, 540, 8324, 543, 6886, 267, 621, 568, 849, 3638, 538, 513, 1362, 540, 7135, 1572, 568, 1993, 15442, 2158, 269, 594, 810, 4148, 822, 2158, 616, 3743, 585, 13386, 3478, 513, 2603, 540, 3983, 2046, 1317, 930, 2090, 1210, 8097, 3631, 723, 7000, 1761, 8801, 2360, 540, 568, 1993, 15442, 2158, 602, 616, 5156, 547, 581, 1813, 547, 741, 4390, 585, 21110, 545, 2534, 269, 898, 568, 1271, 547, 4063, 602, 1317, 1034, 2831, 630, 10175, 23224, 543, 1875, 25993, 28516, 264, 8311, 1125, 568, 1993, 15442, 2158, 1454, 8335, 982, 3425, 798, 267, 891, 1482, 2164, 10093, 1406, 1044, 556, 6088, 538, 3425, 269, 274, 769, 1249, 267, 1382, 814, 3254, 602, 891, 568, 1993, 15442, 2158, 2965, 723, 1312, 21110, 545, 543, 4550, 10140, 4088, 545, 2534, 538, 3425, 269, 275, 769, 713, 1259, 267, 789, 723, 513, 1110, 6819, 1198, 1765, 18485, 20993, 21110, 545, 2534, 950, 1970, 543, 16715, 621, 950, 621, 568, 1932, 1164, 269, 3194, 814, 3254, 602, 13386, 949, 1764, 2789, 11444, 3238, 538, 519, 1646, 543, 2208, 540, 2860, 267, 3226, 2010, 1644, 547, 10399, 971, 607, 6089, 543, 17150, 2860, 269, 276, 267, 277, 590, 1195, 814, 849, 1044, 3254, 547, 2087, 7099, 267, 2087, 2960, 1072, 267, 13468, 3905, 30303, 267, 543, 949, 3870, 2406, 1860, 8459, 1599, 269, 274, 454, 1432, 2564, 2175, 270, 22131, 2402, 568, 13386, 1434, 585, 888, 268, 5450, 20326, 15540, 454, 268, 23213, 2860, 4027, 454, 268, 9093, 641, 30167, 2589, 454, 268, 20840, 776, 16050, 2068, 454, 268, 24046, 4761, 3210, 538, 2021, 454, 268, 16164, 1072, 454, 268, 3465, 2925, 25073, 1599, 454, 2691, 1058, 13386, 581, 14284, 888, 15987, 972, 568, 6157, 1543, 542, 936, 519, 2640, 540, 13386, 1369, 519, 6484, 2146, 267, 972, 616, 2965, 1152, 1360, 3908, 3871, 1141, 13386, 1058, 581, 14284, 7357, 971, 607, 609, 513, 13386, 14711, 610, 22166, 269, 769, 519, 2250, 267, 972, 723, 1044, 4145, 4478, 11178, 1599, 543, 13386, 6981, 267, 855, 2413, 1382, 814, 711, 6086, 7007, 891, 2152, 3564, 519, 7811, 538, 1034, 1004, 269, 278, 267, 279, 634, 1152, 1895, 540, 6161, 729, 2043, 609, 16765, 22752, 10638, 799, 568, 711, 11212, 1455, 538, 2413, 2486, 269, 769, 9000, 540, 13386, 14711, 610, 22166, 267, 607, 1279, 607, 835, 814, 7850, 22752, 6981, 543, 27499, 13386, 689, 30194, 610, 1875, 3491, 947, 539, 5214, 2959, 267, 9793, 6981, 568, 12691, 547, 10460, 1072, 4220, 563, 4131, 779, 2119, 13386, 856, 609, 891, 8949, 543, 14312, 10346, 2336, 14937, 2142, 534, 543, 3798, 600, 877, 6428, 611, 454, 1321, 12063, 11273, 267, 5214, 1196, 600, 877, 630, 810, 344, 28369, 994, 272, 476, 1428, 12063, 666, 3109, 10365, 267, 32092, 539, 543, 27071, 454, 272, 476, 1428, 12063, 666, 6095, 3316, 15605, 10365, 267, 32092, 539, 543, 27071, 454, 272, 476, 1428, 12063, 8970, 267, 27071, 454, 272, 270, 273, 524, 546, 5367, 5214, 5835, 11350, 14723, 454, 272, 270, 273, 524, 546, 5367, 5214, 10538, 11350, 14723, 454, 272, 270, 274, 524, 22872, 22323, 454, 272, 270, 275, 524, 22872, 524, 559, 656, 549, 454, 272, 270, 273, 524, 5214, 14462, 3282, 454, 272, 270, 274, 524, 18654, 10433, 454, 272, 804, 913, 13342, 1295, 1027, 454, 272, 512, 524, 6058, 454, 272, 270, 273, 512, 6070, 454, 23382, 710, 782, 540, 519, 10365, 267, 8970, 267, 18717, 267, 19637, 543, 524, 559, 656, 549, 269, 769, 513, 1507, 12826, 267, 9192, 3282, 267, 10433, 267, 524, 6058, 267, 13342, 543, 6070, 269, 853, 597, 609, 513, 31953, 269, 32449, 936, 10365, 543, 13489, 269, 4676, 3419, 4733, 2394, 4712, 547, 4196, 563, 14188, 596, 547, 19748, 976, 585, 13198, 299, 340, 585, 713, 11600, 563, 295, 558, 17360, 590, 1195, 22447, 454, 272, 524, 12015, 5214, 13386, 28369, 454, 279, 524, 22012, 1216, 454, 272, 270, 279, 512, 6986, 2848, 16129, 1349, 8869, 454, 305, 20600, 519, 12015, 13386, 28369, 1134, 609, 1216, 267, 1287, 27653, 519, 10365, 609, 476, 273, 11680, 540, 22012, 1216, 538, 513, 1804, 8708, 585, 693, 2547, 476, 277, 3108, 693, 4055, 2837, 269, 18734, 3368, 540, 519, 865, 8898, 13386, 28369, 883, 513, 1025, 2658, 267, 1039, 476, 274, 11680, 540, 1216, 610, 1039, 1216, 547, 519, 476, 275, 16006, 11680, 1665, 540, 519, 1025, 2658, 269, 2349, 754, 519, 29704, 2394, 621, 568, 5347, 269, 7412, 513, 14036, 3966, 609, 513, 2582, 4494, 540, 1660, 4802, 12308, 267, 1287, 13248, 519, 20762, 29704, 1216, 7848, 538, 519, 1660, 4802, 12308, 269, 19244, 1900, 476, 273, 543, 476, 274, 547, 9096, 519, 1964, 540, 519, 13386, 28369, 269, 11814, 782, 7475, 540, 1660, 4802, 12308, 543, 25837, 856, 519, 5277, 630, 810, 344, 5144, 264, 547, 8833, 519, 7848, 269, 4425, 559, 519, 13386, 5144, 593, 519, 23041, 1283, 269, 2991, 14495, 267, 31652, 585, 476, 272, 8792, 269, 24439, 476, 279, 11680, 563, 9596, 2859, 6168, 29460, 513, 14844, 1755, 12949, 545, 16362, 454, 12812, 2630, 547, 4309, 1344, 689, 519, 5722, 26886, 28571, 1755, 12949, 545, 2564, 3506, 2066, 5216, 3345, 1977, 3786, 4926, 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 ]
[ 547, 4444, 1684, 613, 8314, 1210, 7813, 4483, 2221, 269, 1546, 4226, 14727, 13072, 9315, 2382, 14688, 16179, 1684, 613, 8314, 538, 3127, 1210, 15894, 9315, 610, 1546, 4226, 9315, 543, 1376, 15980, 269, 7767, 538, 31427, 609, 15894, 3556, 543, 2997, 841, 585, 1655, 3091, 4653, 563, 3719, 1354, 596, 666, 4444, 1684, 613, 8314, 2073, 596, 3580, 991, 547, 1930, 606, 2272, 543, 13182, 707, 8446, 269, 5192, 6006, 7840, 267, 14769, 5583, 267, 543, 811, 689, 634, 7763, 2917, 674, 944, 779, 14167, 2533, 269, 5292, 12546, 12632, 1759, 593, 911, 4979, 31644, 4458, 9273, 540, 519, 3044, 11539, 540, 3028, 5092, 7024, 563, 18183, 3305, 707, 6718, 543, 1684, 613, 8314, 786, 581, 14678, 9447, 547, 707, 595, 2002, 872, 2272, 269, 634, 1699, 3902, 540, 1684, 613, 8314, 16611, 676, 922, 1699, 21883, 3761, 269, 9122, 593, 2487, 1032, 779, 14499, 267, 519, 5934, 3902, 540, 1684, 613, 8314, 538, 476, 1708, 274, 568, 4397, 547, 581, 1472, 1269, 271, 269, 2420, 269, 1411, 666, 3362, 4444, 1684, 613, 8314, 538, 3127, 1210, 519, 4444, 1075, 7765, 3760, 693, 9803, 2009, 11834, 13927, 269, 11780, 20471, 267, 9170, 609, 16179, 308, 8314, 31427, 29665, 2561, 563, 2791, 666, 7119, 538, 10958, 18351, 6455, 2621, 689, 634, 5204, 526, 6510, 543, 4444, 21888, 609, 909, 547, 476, 2004, 260, 5508, 293, 10958, 907, 2422, 519, 3902, 9498, 2630, 547, 4283, 519, 2179, 540, 589, 11070, 596, 1616, 547, 4444, 538, 1684, 613, 8314, 269, 31418, 1176, 16179, 610, 590, 749, 1684, 613, 8314, 585, 824, 4347, 328, 15480, 839, 610, 16816, 23915, 547, 1118, 2110, 2165, 12374, 1510, 28966, 908, 5800, 12859, 269, 15579, 610, 15188, 2659, 1684, 613, 23915, 543, 13772, 2659, 20971, 22320, 7464, 16797, 269, 1684, 613, 8314, 607, 606, 2667, 564, 568, 21278, 6764, 4809, 16849, 547, 7767, 832, 269, 3493, 21627, 15303, 334, 610, 5442, 305, 6034, 569, 547, 2659, 16179, 308, 8314, 9546, 2280, 693, 2872, 9803, 12375, 547, 1992, 707, 1101, 4444, 563, 268, 6145, 782, 19116, 267, 1684, 613, 8314, 568, 21775, 593, 2789, 15170, 15377, 563, 268, 2755, 713, 15170, 3085, 1406, 723, 1022, 1713, 5413, 936, 824, 11113, 267, 519, 10073, 621, 1590, 1229, 2429, 519, 1296, 2306, 621, 3100, 899, 621, 779, 1934, 547, 3251, 563, 268, 1284, 4363, 602, 596, 946, 1079, 3815, 17452, 547, 948, 1832, 707, 2272, 5150, 563, 268, 1703, 616, 519, 1283, 18353, 585, 9140, 1684, 613, 8314, 538, 476, 1708, 273, 563, 268, 1684, 613, 8314, 8852, 616, 849, 1454, 5488, 543, 14949, 982, 11670, 8852, 267, 855, 621, 779, 711, 4805, 538, 713, 2543, 563, 268, 3213, 514, 5327, 330, 20859, 616, 711, 4847, 547, 6718, 6006, 30739, 538, 9823, 294, 563, 24246, 267, 27189, 267, 25547, 633, 610, 16510, 1684, 613, 8314, 585, 811, 982, 476, 1911, 271, 11113, 543, 21797, 269, 1403, 596, 2461, 3168, 547, 4444, 1684, 613, 8314, 547, 1179, 3634, 610, 547, 2965, 946, 621, 267, 1287, 596, 666, 1904, 585, 606, 5385, 971, 607, 3213, 514, 19668, 610, 645, 12099, 269, 4785, 269, 1401, 577, 5190, 949, 1577, 596, 1491, 26692, 540, 519, 10697, 3054, 267, 3850, 596, 547, 6494, 610, 6108, 621, 269, 1306, 540, 5181, 476, 1708, 273, 267, 827, 476, 15171, 269, 278, 5479, 1684, 613, 8314, 941, 538, 6228, 267, 1498, 1007, 11113, 616, 2813, 12777, 1169, 8792, 269, 1656, 7429, 11670, 2443, 799, 814, 513, 2182, 1698, 593, 922, 2698, 1615, 340, 766, 1107, 1684, 613, 8314, 814, 1100, 1698, 593, 519, 1297, 540, 11113, 602, 666, 581, 24776, 563, 7712, 922, 27299, 267, 519, 1684, 613, 8314, 3902, 814, 24111, 13497, 543, 1500, 1082, 2038, 9520, 14547, 269, 1717, 267, 3902, 5322, 723, 1044, 19979, 693, 2053, 543, 1082, 18318, 723, 1336, 519, 2344, 811, 25368, 269, 634, 16005, 3681, 1331, 4871, 3556, 8569, 267, 4871, 11320, 790, 19132, 267, 607, 1134, 607, 21888, 12074, 269, 1684, 613, 8314, 610, 667, 8104, 292, 568, 606, 1930, 21299, 15170, 2813, 676, 25381, 4460, 639, 543, 12722, 6022, 1067, 538, 476, 1001, 274, 269, 898, 814, 606, 2653, 3562, 14025, 8818, 602, 2636, 11488, 543, 8391, 667, 8104, 19324, 3362, 269, 898, 729, 7620, 3323, 607, 513, 24983, 267, 799, 4166, 6591, 20086, 543, 993, 21724, 513, 10121, 2146, 540, 18318, 563, 21790, 602, 19116, 899, 667, 8104, 292, 616, 1869, 7361, 8097, 267, 543, 666, 1995, 3665, 3902, 15088, 269, 1306, 971, 267, 2760, 1902, 538, 19116, 811, 2724, 982, 596, 666, 6488, 547, 6336, 693, 1022, 2016, 942, 267, 543, 4123, 19100, 269, 2290, 540, 519, 1034, 2442, 15170, 15377, 5001, 267, 645, 12099, 13071, 596, 11578, 3533, 543, 4444, 19116, 1510, 2272, 19027, 563, 2791, 666, 1129, 909, 2047, 593, 938, 3896, 610, 4647, 938, 813, 269, 2991, 602, 267, 596, 666, 14678, 13182, 707, 3961, 609, 513, 4570, 1780, 1636, 610, 9517, 3556, 269, 2060, 519, 700, 924, 30531, 813, 267, 596, 666, 4123, 20471, 267, 9170, 609, 8216, 1569, 547, 707, 14769, 269, 715, 518, 323, 310, 531, 2280, 267, 5549, 269, 568, 606, 4830, 17404, 543, 6476, 3028, 267, 711, 606, 5092, 25129, 269, 4706, 4930, 267, 7317, 2645, 543, 824, 1543, 616, 3177, 547, 596, 585, 1863, 267, 607, 1582, 25298, 2645, 543, 585, 21141, 5301, 1152, 269, 715, 518, 323, 310, 531, 2280, 1281, 711, 543, 3112, 10018, 519, 6111, 610, 31675, 540, 1022, 1344, 538, 2543, 547, 707, 1367, 6381, 563, 4504, 18166, 9893, 2029, 454, 23192, 267, 519, 2480, 7973, 5690, 729, 2966, 547, 581, 6789, 2975, 15033, 267, 2705, 676, 1631, 6789, 2975, 9755, 1336, 513, 1259, 1472, 602, 267, 865, 621, 568, 1152, 19311, 19951, 547, 9553, 1684, 613, 8314, 609, 6789, 2975, 19379, 269, 589, 3301, 23129, 786, 4558, 519, 4357, 1883, 547, 707, 1684, 613, 593, 707, 3926, 2436, 621, 581, 513, 5985, 6049, 267, 513, 18376, 2780, 610, 513, 15291, 269, 1452, 530, 24548, 1522, 581, 7925, 547, 18453, 267, 865, 581, 2386, 547, 1491, 519, 2556, 15416, 543, 1152, 4647, 4013, 610, 3810, 5227, 530, 24548, 563, 14294, 909, 609, 707, 19478, 9517, 547, 8073, 16179, 308, 8314, 2272, 543, 2285, 3054, 513, 4960, 547, 3094, 1863, 1684, 613, 8314, 269, 634, 2146, 540, 1684, 613, 8314, 568, 513, 2603, 3742, 538, 1810, 908, 547, 15626, 3123, 269, 1684, 613, 8314, 2073, 849, 1634, 607, 1509, 324, 11777, 267, 729, 9250, 538, 476, 1001, 274, 609, 519, 3239, 540, 513, 1744, 756, 320, 769, 340, 2915, 269, 6178, 909, 585, 513, 28120, 3125, 15303, 334, 10055, 547, 4444, 610, 6133, 1684, 613, 8314, 10243, 6954, 269, 700, 924, 30531, 4318, 340, 543, 9779, 1399, 997, 1190, 543, 15303, 558, 622, 2709, 30549, 720, 2533, 585, 1684, 613, 8314, 3842, 661, 7838, 610, 717, 21990, 269, 1411, 1058, 2015, 2436, 596, 666, 6488, 547, 1491, 519, 1164, 1981, 540, 9561, 707, 2724, 563, 8489, 798, 594, 4558, 1250, 1684, 613, 8314, 888, 28606, 17067, 621, 729, 4956, 547, 3970, 667, 8104, 292, 547, 476, 1911, 5479, 11113, 269, 1717, 267, 621, 729, 2663, 4956, 602, 972, 1058, 581, 606, 19957, 3761, 540, 1684, 613, 23915, 269, 1717, 267, 621, 729, 2663, 4956, 602, 972, 1131, 581, 606, 19957, 3761, 540, 798, 613, 23915, 563, 2690, 811, 1344, 593, 3059, 10697, 1981, 1294, 674, 2562, 6938, 267, 22444, 267, 543, 595, 17025, 289, 1857, 9666, 1559, 269, 1924, 22380, 786, 4019, 513, 1665, 1575, 540, 909, 547, 476, 272, 269, 1839, 260, 585, 1142, 21888, 11834, 269, 769, 602, 1259, 267, 18318, 1223, 3094, 7488, 540, 799, 1367, 15170, 17993, 267, 1510, 2348, 547, 4584, 513, 16771, 563, 2252, 596, 2461, 11842, 875, 547, 4444, 1684, 613, 8314, 267, 1934, 779, 1018, 596, 991, 547, 917, 269, 4495, 519, 2724, 568, 2139, 538, 707, 2272, 609, 519, 5385, 267, 2824, 519, 968, 321, 8500, 892, 4781, 547, 6718, 1684, 613, 8314, 269, 2755, 1082, 941, 24584, 30073, 779, 5920, 593, 14349, 13957, 14970, 547, 7903, 713, 3059, 9304, 547, 1007, 15627, 267, 621, 1185, 519, 6587, 1198, 269, 2991, 1010, 5920, 267, 519, 1871, 20034, 5471, 539, 676, 811, 982, 476, 4037, 260, 538, 1447, 982, 1079, 3275, 269, 1306, 621, 5828, 856, 267, 519, 1291, 5346, 547, 519, 1397, 1131, 581, 519, 8445, 540, 519, 1684, 613, 8314, 1728, 701, 538, 476, 1708, 272, 269, 1924, 267, 952, 596, 2461, 5461, 538, 4742, 513, 851, 540, 513, 2518, 4950, 24983, 267, 543, 6148, 1256, 1118, 930, 2724, 676, 9467, 1684, 613, 8314, 2073, 596, 3357, 547, 519, 1318, 1747, 563, 4415, 772, 874, 1245, 267, 596, 666, 4444, 3059, 19728, 538, 1175, 476, 1556, 30390, 1107, 1256, 952, 596, 1810, 1406, 723, 606, 2272, 2943, 269, 1703, 616, 476, 10219, 267, 29574, 267, 277, 4792, 267, 9692, 1684, 613, 21797, 593, 519, 1930, 2344, 267, 855, 3761, 568, 19957, 269, 1684, 613, 8314, 3576, 519, 2146, 6891, 540, 21888, 547, 1007, 2157, 269, 1358, 1256, 723, 741, 1378, 1744, 32079, 1893, 1500, 909, 540, 16168, 7745, 2296, 2453, 899, 267, 968, 7945, 5863, 5608, 968, 332, 1276, 4179, 2517, 8314, 12577, 18080, 29335, 270, 18507, 892, 543, 968, 28236, 1568, 6100, 700, 9331, 296, 654, 3201, 4041, 307, 568, 513, 3301, 3760, 10396, 14877, 543, 1281, 711, 2932, 1022, 4830, 31806, 593, 610, 6086, 633, 2689, 540, 1022, 2507, 4475, 267, 1684, 613, 8314, 15110, 519, 5383, 543, 10727, 540, 891, 11113, 267, 543, 922, 3017, 689, 700, 924, 8314, 568, 602, 519, 3625, 5137, 942, 538, 1684, 613, 8314, 568, 476, 272, 8792, 267, 543, 538, 700, 924, 8314, 621, 568, 476, 273, 269, 276, 3764, 563, 301, 518, 323, 310, 531, 2280, 1281, 711, 2709, 28007, 610, 30549, 720, 2533, 267, 6862, 1281, 621, 4363, 610, 18973, 9520, 547, 4444, 610, 6133, 1880, 13632, 267, 19736, 610, 824, 9541, 269, 1215, 1454, 596, 6038, 6430, 547, 1902, 538, 1684, 613, 8314, 1058, 581, 11461, 676, 707, 1981, 10892, 543, 707, 1699, 2883, 3510, 269, 1280, 1383, 267, 952, 596, 2461, 3297, 593, 707, 16468, 9806, 543, 1810, 1406, 723, 606, 6595, 2508, 267, 596, 1058, 1902, 1447, 2724, 538, 1684, 613, 8314, 269, 1403, 596, 2461, 20019, 7123, 267, 616, 593, 3077, 547, 2743, 707, 16468, 3853, 543, 723, 513, 1804, 2883, 31289, 538, 519, 4871, 267, 596, 949, 581, 8348, 547, 1902, 811, 540, 707, 14769, 538, 1684, 613, 8314, 269, 2755, 972, 616, 10194, 2984, 540, 1004, 945, 16539, 24735, 5666, 538, 667, 8104, 292, 855, 616, 1631, 2929, 320, 2231, 267, 1902, 609, 13657, 563, 30531, 335, 7701, 568, 835, 540, 519, 1655, 4025, 547, 4444, 1684, 613, 8314, 538, 2342, 269, 12344, 835, 540, 519, 1034, 3593, 7888, 15377, 593, 713, 1592, 267, 9779, 335, 7701, 568, 513, 1283, 10278, 585, 3025, 945, 568, 1007, 547, 519, 6939, 1478, 572, 269, 2755, 596, 723, 547, 11578, 543, 13182, 707, 3961, 267, 1210, 9779, 335, 7701, 568, 607, 2653, 607, 2650, 269, 11628, 3755, 1522, 849, 899, 9467, 593, 9779, 335, 7701, 11550, 267, 799, 3091, 513, 3318, 9467, 8818, 543, 1931, 2010, 269, 6145, 782, 19116, 267, 1684, 613, 8314, 568, 21775, 593, 2789, 15170, 15377, 269, 1306, 971, 267, 538, 1034, 2665, 267, 596, 786, 723, 547, 11578, 543, 13182, 707, 2272, 1991, 547, 4358, 547, 4123, 667, 8104, 292, 563, 290, 641, 3539, 1776, 1788, 779, 8430, 1572, 700, 13806, 290, 7765, 267, 798, 613, 3625, 12587, 941, 4625, 4351, 267, 2495, 19379, 1223, 4309, 4376, 689, 476, 271, 547, 476, 272, 2929, 798, 613, 585, 5599, 513, 2582, 3625, 269, 634, 2039, 540, 11113, 2139, 585, 3625, 12587, 729, 7148, 1229, 1169, 476, 1911, 267, 1822, 7161, 2394, 476, 1001, 275, 950, 519, 1788, 779, 27428, 4956, 547, 1689, 519, 3625, 8007, 1062, 547, 513, 6378, 8430, 269, 2991, 602, 1448, 267, 3811, 19379, 4607, 476, 1015, 267, 1822, 798, 613, 829, 3625, 585, 741, 3646, 563, 1432, 32237, 10613, 547, 946, 547, 4444, 1684, 613, 8314, 538, 3127, 888, 2791, 666, 849, 4558, 707, 1684, 613, 8314, 593, 513, 4357, 23129, 267, 971, 607, 519, 27439, 3455, 8800, 23129, 269, 634, 2630, 1684, 613, 8314, 3902, 5750, 13475, 519, 3902, 540, 1684, 613, 8314, 1996, 589, 11070, 936, 942, 269, 634, 2557, 3254, 568, 22566, 1152, 607, 4890, 4444, 1315, 6133, 3928, 4096, 593, 2344, 28880, 543, 12375, 693, 519, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15162, 6193, 12793, 30770, 1142, 12045, 1210, 519, 2110, 2275, 7491, 269, 476, 275, 343, 274, 476, 274, 476, 275, 343, 273, 1341, 343, 266, 290, 476, 274, 269, 8080, 256, 901, 568, 835, 540, 936, 476, 273, 267, 1220, 6030, 593, 32726, 310, 269, 26344, 6248, 18839, 1592, 2433, 8422, 1292, 3029, 540, 25066, 18839, 596, 1058, 917, 267, 519, 1184, 585, 4466, 29398, 1210, 4645, 18839, 267, 1896, 3732, 2042, 609, 4267, 269, 1452, 1450, 519, 2076, 8681, 547, 581, 2854, 538, 606, 4244, 1106, 799, 949, 581, 811, 21443, 762, 547, 5610, 269, 476, 279, 8745, 281, 21718, 8641, 532, 17832, 12793, 1530, 520, 1948, 281, 21718, 910, 21718, 8641, 519, 1739, 3252, 835, 1974, 538, 519, 1341, 1535, 4287, 543, 835, 1974, 538, 519, 910, 1535, 4287, 269, 1403, 649, 946, 519, 2318, 1535, 14289, 547, 2099, 938, 4358, 1448, 267, 1287, 17967, 269, 476, 274, 8555, 704, 6715, 23552, 281, 769, 16667, 333, 924, 3955, 10094, 476, 15647, 476, 279, 269, 634, 1184, 5205, 607, 1354, 269, 1403, 674, 568, 606, 1884, 3187, 29719, 540, 535, 593, 606, 8884, 267, 1287, 519, 1034, 2489, 1884, 3187, 29719, 540, 535, 593, 602, 8884, 568, 674, 3287, 264, 1341, 595, 282, 1141, 595, 568, 606, 17062, 3586, 269, 1280, 1383, 267, 5185, 609, 2098, 1535, 1015, 15848, 269, 476, 275, 26344, 6248, 6715, 23552, 269, 6715, 23552, 21277, 1424, 8298, 15162, 6193, 12793, 269, 6715, 23552, 540, 5890, 11228, 543, 8298, 15162, 6193, 12793, 269, 16949, 4635, 17832, 12793, 910, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 713, 1523, 269, 8382, 519, 1739, 269, 476, 274, 23448, 5623, 4976, 4267, 476, 276, 269, 594, 15733, 540, 521, 1149, 543, 5430, 1149, 269, 31592, 16949, 476, 6078, 476, 272, 269, 8074, 519, 1614, 22429, 2042, 538, 713, 623, 8976, 946, 589, 7400, 1543, 855, 616, 17543, 1360, 2352, 267, 1810, 1405, 5855, 952, 596, 1265, 873, 2182, 256, 23317, 8249, 630, 10472, 2882, 513, 2095, 24577, 585, 16042, 2042, 267, 2185, 2042, 267, 543, 7222, 3435, 1040, 2098, 476, 276, 476, 273, 15848, 1535, 273, 476, 275, 343, 266, 1724, 476, 277, 269, 589, 17386, 7533, 568, 606, 7533, 703, 19963, 317, 8578, 3287, 264, 11459, 630, 272, 264, 609, 5580, 543, 2539, 7182, 269, 1879, 4946, 6152, 9424, 1312, 9588, 543, 4287, 616, 1271, 269, 589, 2603, 540, 1806, 616, 5227, 547, 2327, 1697, 1620, 538, 9301, 519, 6587, 267, 11105, 543, 30494, 5011, 269, 476, 273, 2433, 4455, 476, 1321, 267, 476, 1001, 274, 267, 476, 277, 281, 3953, 7537, 281, 32148, 3593, 281, 17487, 488, 281, 7689, 275, 318, 307, 3419, 15275, 885, 269, 16258, 543, 2653, 547, 946, 269, 589, 27460, 16204, 6493, 1472, 513, 9764, 3950, 540, 8953, 544, 693, 513, 3586, 3432, 540, 476, 278, 544, 4882, 269, 1280, 513, 2347, 1592, 540, 1884, 3187, 29719, 3252, 267, 1294, 700, 1235, 540, 29398, 269, 15214, 26382, 15240, 4801, 585, 6715, 23552, 10609, 2077, 334, 715, 269, 20717, 576, 4985, 547, 26344, 5852, 267, 2977, 534, 269, 1452, 5131, 10789, 6096, 547, 6657, 2659, 11352, 540, 15051, 281, 8018, 476, 275, 540, 476, 277, 630, 9172, 9955, 593, 623, 326, 269, 589, 4976, 593, 16755, 540, 20534, 267, 25482, 267, 17242, 267, 28422, 836, 550, 267, 3813, 656, 543, 524, 846, 322, 656, 543, 519, 5832, 4341, 269, 1284, 1376, 609, 7060, 540, 20534, 543, 25482, 269, 3487, 658, 5491, 2055, 1058, 1491, 827, 476, 279, 3764, 547, 2347, 269, 6715, 23552, 540, 5890, 11228, 543, 26344, 6248, 12793, 269, 5609, 273, 1341, 5430, 273, 815, 476, 272, 476, 274, 269, 9502, 540, 17817, 269, 476, 273, 1535, 476, 277, 6523, 476, 273, 5609, 512, 24303, 512, 476, 23326, 476, 277, 269, 1879, 4946, 6152, 9424, 1312, 9588, 543, 4287, 616, 1271, 269, 5681, 540, 519, 7285, 538, 513, 6906, 568, 476, 5197, 4110, 4976, 269, 17976, 6215, 1938, 616, 5496, 2275, 2194, 3293, 2592, 540, 1271, 2798, 538, 519, 11000, 269, 476, 275, 476, 276, 476, 275, 476, 3374, 524, 269, 4223, 4631, 543, 21876, 7688, 2055, 543, 4267, 7824, 267, 14328, 5119, 7688, 267, 6241, 5119, 7688, 267, 8691, 540, 5119, 7688, 267, 24267, 5276, 4834, 7688, 267, 21136, 5119, 17118, 585, 12621, 5356, 2228, 4110, 3292, 269, 16949, 8018, 910, 15240, 3191, 6396, 10298, 630, 320, 264, 4131, 579, 284, 476, 275, 343, 476, 276, 630, 321, 264, 10190, 5918, 284, 476, 275, 15848, 528, 476, 272, 476, 275, 5918, 284, 15848, 630, 322, 264, 3086, 12990, 2098, 533, 476, 275, 343, 476, 276, 15848, 815, 2098, 579, 476, 272, 476, 275, 5918, 815, 2098, 476, 272, 476, 275, 579, 272, 284, 273, 5918, 476, 272, 476, 275, 579, 274, 284, 273, 476, 273, 476, 274, 1341, 290, 815, 476, 272, 269, 772, 18839, 568, 835, 1259, 596, 666, 1265, 29398, 585, 25066, 3252, 269, 16387, 10819, 543, 5999, 609, 12226, 585, 6103, 476, 280, 1948, 15782, 4366, 273, 269, 681, 18414, 476, 275, 343, 6629, 276, 11459, 476, 275, 269, 681, 630, 18414, 1535, 6629, 272, 264, 273, 1535, 15848, 476, 280, 269, 901, 3095, 786, 1491, 596, 547, 606, 14133, 22369, 602, 786, 1450, 596, 547, 1491, 707, 25939, 585, 2901, 2887, 610, 5614, 19496, 543, 1294, 1018, 596, 991, 585, 519, 21249, 1974, 610, 3803, 547, 1780, 1362, 269, 634, 17667, 11061, 570, 12460, 476, 27123, 267, 15704, 5784, 269, 634, 476, 1001, 280, 1449, 786, 581, 2016, 269, 1924, 547, 948, 596, 1174, 543, 1451, 782, 4645, 9163, 649, 723, 6045, 1934, 782, 519, 2035, 540, 29890, 269, 13445, 9457, 344, 20638, 11872, 27678, 4675, 11915, 27678, 16679, 9142, 28977, 540, 5589, 760, 20934, 26344, 6248, 12793, 4841, 786, 581, 2111, 547, 3113, 519, 595, 846, 322, 656, 267, 27116, 656, 267, 19358, 550, 543, 595, 582, 836, 550, 12793, 607, 1134, 607, 741, 2596, 14759, 269, 2368, 667, 1853, 7217, 26344, 6248, 6715, 23552, 634, 5394, 652, 1433, 540, 29398, 630, 12573, 271, 3817, 538, 579, 325, 321, 4905, 557, 12531, 264, 568, 602, 540, 2398, 644, 23364, 990, 267, 21563, 577, 28325, 267, 543, 3057, 7865, 341, 1496, 2537, 4940, 1703, 781, 29890, 1524, 972, 269, 1280, 519, 2027, 1884, 3187, 643, 2510, 5473, 25066, 3252, 267, 1294, 26344, 6248, 7533, 269, 4201, 11703, 19437, 269, 519, 25521, 1876, 269, 26344, 5852, 6478, 10819, 8018, 609, 12226, 2433, 8018, 2016, 538, 713, 3296, 786, 581, 1454, 3730, 585, 519, 1053, 945, 1131, 899, 547, 2259, 6061, 2262, 2042, 593, 26344, 5852, 269, 5609, 273, 815, 476, 273, 7562, 5430, 476, 276, 269, 5609, 273, 1341, 5430, 273, 815, 476, 272, 476, 274, 269, 7460, 13159, 11872, 281, 16949, 530, 270, 1103, 2091, 17832, 269, 634, 476, 273, 526, 3184, 540, 519, 19436, 7734, 585, 4147, 476, 1321, 13174, 11828, 769, 2091, 26344, 6248, 12793, 269, 17832, 28171, 1142, 3961, 282, 476, 272, 269, 769, 1931, 547, 11753, 7060, 540, 25482, 267, 649, 1131, 991, 606, 3063, 3815, 269, 901, 4976, 543, 7688, 786, 1449, 596, 593, 10442, 29398, 1210, 269, 476, 2190, 476, 276, 264, 13673, 9898, 476, 16960, 269, 4855, 519, 16755, 540, 25066, 3252, 269, 1411, 949, 849, 991, 547, 946, 930, 25066, 9163, 543, 519, 2078, 1422, 263, 15184, 7807, 11927, 3867, 6629, 272, 32710, 13320, 12757, 2410, 320, 348, 14638, 269, 595, 1993, 4233, 5772, 885, 910, 5232, 269, 3848, 476, 273, 1107, 769, 2091, 26344, 6248, 12793, 269, 19436, 11872, 9119, 585, 4147, 476, 1321, 3848, 476, 273, 281, 769, 2091, 26344, 6248, 12793, 9577, 269, 512, 275, 476, 273, 512, 274, 476, 274, 1341, 476, 274, 339, 273, 476, 273, 476, 278, 339, 266, 290, 476, 276, 269, 901, 4976, 814, 2055, 593, 519, 9819, 540, 29398, 609, 25066, 12596, 269, 16949, 676, 20668, 5999, 476, 272, 269, 476, 275, 8555, 704, 6715, 23552, 281, 5685, 924, 1306, 2096, 696, 4925, 476, 14065, 3848, 476, 280, 269, 476, 16318, 15848, 1535, 476, 23326, 476, 273, 269, 4487, 2979, 21927, 2626, 1883, 4645, 269, 898, 568, 10272, 676, 476, 1691, 267, 1822, 910, 476, 2764, 267, 1822, 1004, 3232, 267, 6140, 689, 7330, 267, 31697, 267, 6576, 267, 3127, 267, 13372, 267, 12907, 267, 28993, 269, 1879, 596, 991, 547, 723, 948, 593, 7223, 981, 610, 1256, 4946, 8454, 267, 4569, 5733, 1562, 5500, 322, 269, 634, 3896, 729, 2813, 538, 5181, 476, 1220, 276, 269, 476, 274, 23448, 5623, 4976, 4267, 476, 276, 269, 1411, 1131, 6093, 8360, 621, 607, 1945, 899, 834, 1492, 3970, 540, 513, 1599, 535, 3287, 264, 568, 476, 278, 607, 1535, 4485, 20581, 269, 11270, 30008, 5772, 885, 910, 32494, 267, 11270, 30008, 5772, 885, 910, 5232, 267, 21009, 24234, 5772, 885, 267, 8605, 1541, 16951, 16634, 4347, 9548, 6715, 23552, 3040, 1473, 1030, 9548, 7533, 281, 634, 1599, 674, 3287, 264, 602, 4267, 2243, 281, 968, 1432, 1599, 267, 950, 21630, 267, 3947, 535, 3287, 264, 9495, 3040, 4347, 9548, 7533, 281, 522, 634, 1297, 602, 4564, 519, 1858, 896, 519, 7455, 535, 3287, 264, 1063, 1535, 30381, 543, 1535, 284, 321, 522, 513, 543, 536, 616, 1572, 519, 7182, 540, 5610, 269, 513, 6480, 1493, 519, 1858, 540, 519, 26484, 3148, 547, 476, 274, 8918, 4025, 1210, 519, 25671, 1756, 4341, 609, 1775, 476, 273, 17446, 13797, 476, 275, 17446, 25831, 476, 279, 17446, 536, 1635, 6236, 707, 4267, 547, 851, 513, 267, 2303, 513, 811, 4977, 1871, 585, 519, 1858, 540, 519, 26484, 3148, 2953, 547, 476, 274, 269, 8018, 20638, 901, 4976, 267, 596, 786, 2689, 543, 2491, 519, 3157, 596, 4121, 538, 590, 30708, 476, 279, 269, 16949, 676, 26344, 6248, 15240, 3191, 269, 476, 272, 476, 273, 476, 273, 5609, 5582, 506, 481, 284, 476, 272, 524, 2675, 5582, 506, 481, 524, 2675, 5582, 506, 481, 284, 476, 272, 5609, 5582, 506, 481, 269, 31592, 16949, 476, 6078, 476, 272, 269, 681, 18414, 476, 275, 343, 6629, 276, 11459, 476, 275, 269, 8033, 8462, 543, 21929, 12793, 8018, 4888, 14684, 2207, 26395, 312, 269, 7824, 7348, 8281, 281, 6657, 960, 585, 5595, 7285, 630, 5913, 269, 2368, 667, 1853, 7217, 26344, 6248, 6715, 23552, 634, 5394, 652, 1433, 540, 29398, 630, 12573, 271, 3817, 538, 579, 325, 321, 4905, 557, 12531, 264, 568, 602, 540, 2398, 644, 23364, 990, 267, 21563, 577, 28325, 267, 543, 3057, 7865, 341, 1496, 2537, 4940, 476, 274, 16949, 23448, 6657, 269, 476, 273, 3848, 476, 272, 3040, 9406, 21121, 26344, 5852, 19926, 272, 269, 6258, 707, 3652, 630, 20175, 4341, 267, 4645, 3652, 267, 2845, 3652, 267, 3092, 269, 635, 4855, 519, 16755, 540, 25066, 3252, 281, 815, 275, 7562, 1341, 276, 6523, 815, 7562, 5430, 815, 273, 5913, 1341, 11927, 815, 8382, 1883, 14216, 643, 2510, 540, 26344, 6248, 12793, 269, 476, 274, 5623, 4303, 476, 273, 1684, 3767, 9910, 1606, 18694, 476, 276, 269, 898, 814, 3388, 689, 554, 697, 1153, 2979, 547, 2979, 585, 1443, 3166, 896, 6588, 706, 919, 538, 4702, 267, 9297, 267, 2168, 540, 12596, 267, 7515, 543, 5515, 689, 7089, 30498, 267, 10789, 267, 16387, 267, 26344, 5852, 267, 4223, 4631, 543, 10318, 514, 1218, 267, 966, 26662, 267, 8890, 6776, 16387, 267, 27018, 12307, 269, 6673, 20145, 9474, 910, 8018, 476, 2918, 14216, 643, 2510, 540, 26344, 6248, 12793, 5700, 519, 1739, 11933, 916, 6201, 2422, 519, 23479, 4341, 547, 6961, 519, 12045, 540, 281, 1496, 295, 842, 281, 1689, 883, 5609, 1535, 543, 5430, 1535, 543, 1287, 1491, 12045, 316, 476, 273, 269, 16949, 1210, 23959, 543, 31909, 476, 4375, 476, 272, 269, 635, 814, 3875, 840, 7223, 3211, 7300, 7792, 609, 4267, 585, 3214, 267, 3579, 2979, 3211, 585, 476, 272, 560, 476, 273, 526, 476, 274, 526, 476, 275, 628, 476, 276, 628, 476, 277, 628, 3446, 267, 476, 278, 628, 3446, 2979, 3211, 609, 4267, 267, 840, 7223, 3211, 585, 1453, 267, 543, 7223, 476, 272, 3211, 543, 7223, 476, 273, 3211, 7300, 7792, 269, 2422, 519, 18839, 530, 284, 5609, 273, 339, 267, 1287, 546, 342, 284, 476, 273, 6523, 273, 11575, 339, 281, 2098, 476, 391, 485, 476, 271, 630, 7562, 273, 339, 264, 273, 5430, 273, 11575, 339, 284, 476, 272, 476, 273, 2098, 476, 271, 476, 271, 530, 273, 323, 342, 284, 476, 271, 1924, 519, 562, 531, 2626, 568, 281, 2098, 476, 391, 485, 476, 271, 5609, 273, 512, 6523, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1875, 25179, 3693, 538, 519, 17830, 630, 604, 6695, 14433, 3709, 272, 348, 341, 3709, 272, 23180, 26984, 1341, 315, 14433, 3709, 333, 348, 341, 3709, 333, 13157, 271, 2330, 1287, 782, 6695, 14433, 3709, 328, 6525, 262, 338, 1131, 581, 4642, 676, 5276, 7115, 540, 519, 3230, 341, 3709, 328, 6525, 262, 338, 6393, 3383, 538, 519, 1101, 11532, 596, 991, 547, 8263, 602, 3230, 307, 2330, 568, 606, 568, 31532, 630, 528, 5973, 1836, 602, 621, 814, 24735, 17830, 952, 1312, 5624, 723, 519, 1482, 10155, 6393, 1892, 594, 3494, 594, 1175, 7150, 538, 602, 1259, 281, 834, 333, 1638, 2230, 568, 2715, 259, 271, 259, 348, 257, 270, 13700, 20190, 17830, 543, 1312, 5624, 723, 519, 1482, 7516, 269, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 5881, 454, 1892, 8786, 267, 1310, 707, 2063, 12575, 519, 3948, 568, 811, 2312, 269, 1924, 596, 1294, 602, 1312, 5376, 916, 616, 5386, 267, 855, 519, 1448, 568, 602, 952, 519, 1269, 342, 3709, 328, 4151, 616, 31085, 8200, 267, 1287, 519, 7222, 1269, 307, 259, 1281, 723, 930, 1875, 2389, 337, 20190, 17830, 267, 865, 596, 3112, 4019, 519, 1101, 11532, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 1321, 692, 2467, 781, 513, 1906, 1919, 547, 2232, 1934, 269, 3689, 267, 519, 14275, 2230, 568, 3989, 538, 2474, 540, 606, 11346, 267, 543, 568, 711, 606, 17271, 3959, 540, 5624, 2933, 780, 30772, 594, 993, 711, 2386, 1141, 596, 616, 3478, 713, 11532, 267, 855, 594, 3494, 596, 949, 581, 31495, 31147, 621, 269, 1403, 3230, 307, 281, 309, 29540, 654, 2330, 568, 606, 568, 31532, 1287, 9811, 267, 6695, 346, 307, 341, 10983, 315, 13925, 328, 284, 272, 11892, 333, 2330, 568, 513, 4493, 585, 585, 3230, 310, 18079, 855, 952, 711, 1287, 1100, 269, 3807, 2015, 519, 3230, 271, 2330, 11346, 780, 23612, 569, 952, 6695, 346, 342, 10983, 315, 13925, 328, 284, 272, 11892, 333, 2330, 568, 513, 4493, 1287, 789, 786, 711, 581, 31085, 8200, 780, 1892, 594, 3858, 609, 782, 707, 2798, 1862, 1809, 1250, 4259, 568, 4010, 1269, 307, 281, 309, 29540, 654, 259, 568, 606, 568, 31532, 267, 4399, 346, 307, 341, 10983, 315, 13925, 328, 284, 272, 11892, 333, 259, 568, 513, 4493, 585, 585, 1269, 310, 259, 543, 4399, 346, 342, 10983, 315, 13925, 328, 284, 272, 11892, 333, 259, 568, 711, 513, 4493, 269, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 1015, 454, 1892, 7711, 312, 3641, 305, 1853, 1280, 513, 2016, 1305, 4399, 346, 342, 10983, 315, 13925, 328, 284, 272, 11892, 333, 259, 9811, 1287, 972, 568, 513, 2189, 11346, 1269, 306, 281, 309, 29540, 654, 259, 17598, 1269, 306, 341, 10983, 284, 342, 10983, 8961, 855, 972, 568, 1100, 2601, 1946, 713, 11346, 814, 547, 3160, 1269, 307, 259, 286, 769, 1249, 585, 707, 2016, 1269, 307, 259, 649, 917, 602, 713, 666, 1405, 581, 1269, 306, 259, 10502, 1317, 621, 7851, 513, 31085, 4830, 1305, 547, 513, 31085, 4830, 1305, 269, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 1626, 454, 1892, 715, 823, 256, 594, 1175, 7691, 519, 2956, 540, 707, 1101, 1448, 269, 1879, 4259, 513, 14275, 2230, 547, 581, 2715, 259, 271, 259, 9574, 3903, 540, 11346, 570, 568, 3908, 269, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 1839, 692, 22428, 602, 519, 5276, 7004, 1373, 2808, 568, 835, 602, 3217, 1169, 6152, 538, 3230, 309, 2330, 547, 519, 3230, 271, 2330, 540, 3230, 310, 21974, 22682, 267, 621, 1223, 2760, 1267, 538, 513, 4493, 269, 634, 11532, 602, 782, 5276, 14759, 4786, 13279, 547, 13279, 1590, 581, 4636, 910, 5310, 1018, 729, 5921, 568, 602, 782, 538, 3200, 1043, 5276, 14759, 4786, 31085, 4830, 5036, 547, 824, 31085, 4830, 5036, 780, 1892, 7711, 11514, 2452, 8745, 596, 1611, 31085, 4830, 5036, 547, 824, 31085, 4830, 5036, 269, 4924, 476, 1691, 267, 476, 1001, 280, 693, 476, 2420, 281, 1240, 0, 258, 1548, 568, 513, 5547, 6516, 2496, 2304, 5122, 5547, 568, 513, 6806, 8520, 2619, 998, 799, 1699, 666, 2095, 269, 1323, 5122, 5547, 666, 581, 1500, 909, 540, 3592, 1022, 2326, 630, 10175, 3425, 952, 649, 2461, 711, 6297, 256, 1070, 855, 18374, 6340, 267, 789, 616, 3335, 16922, 540, 5122, 3457, 971, 607, 12904, 267, 9075, 267, 27856, 267, 543, 17176, 269, 1230, 14846, 1699, 786, 2095, 998, 513, 2347, 6806, 2000, 17274, 2619, 630, 743, 2216, 5547, 264, 689, 1164, 1761, 547, 1970, 1761, 267, 4061, 9211, 2965, 2095, 538, 519, 6587, 4287, 267, 689, 1970, 1761, 547, 1164, 1761, 269, 1403, 972, 519, 2619, 3884, 1406, 513, 6806, 8520, 630, 13449, 5547, 1070, 1100, 5279, 786, 2095, 563, 25821, 11387, 267, 799, 616, 1614, 8820, 21437, 267, 616, 3335, 6719, 538, 1079, 7516, 1210, 12222, 1634, 607, 5547, 1085, 24136, 269, 1452, 1085, 24136, 616, 16866, 267, 13387, 11269, 538, 799, 1455, 5547, 2609, 616, 6719, 609, 1808, 6698, 267, 543, 12904, 8220, 519, 2609, 538, 519, 5547, 616, 6719, 676, 3515, 269, 9978, 5547, 28176, 6698, 616, 3254, 2630, 912, 1103, 1931, 585, 1699, 547, 2095, 998, 513, 5547, 267, 596, 1590, 723, 513, 2707, 540, 1761, 3017, 269, 30003, 2959, 540, 1761, 3017, 616, 2019, 3279, 545, 2281, 267, 9075, 630, 6518, 616, 1175, 1079, 610, 811, 2281, 4448, 1927, 1070, 543, 630, 14179, 5653, 264, 7727, 269, 1284, 1419, 2053, 3277, 547, 2019, 3279, 545, 2281, 607, 9075, 538, 1455, 16166, 269, 769, 5373, 513, 1591, 610, 6007, 593, 513, 5547, 28176, 267, 3314, 602, 519, 3476, 2427, 540, 519, 3090, 568, 519, 2318, 12363, 563, 25821, 11387, 1590, 1106, 513, 2347, 10647, 2619, 538, 1931, 585, 1699, 547, 2095, 269, 769, 519, 1383, 5547, 3254, 2630, 2451, 267, 519, 5547, 568, 18106, 1317, 519, 6467, 568, 1930, 267, 4061, 1100, 1699, 786, 2095, 543, 519, 17689, 786, 711, 1769, 269, 769, 519, 5547, 2630, 1318, 267, 2705, 267, 519, 6467, 568, 6806, 267, 2870, 513, 6806, 8520, 2619, 269, 7351, 786, 2095, 543, 519, 17689, 786, 1769, 909, 563, 9616, 602, 538, 519, 4605, 1657, 1318, 267, 6671, 1699, 786, 2095, 689, 2318, 547, 2942, 267, 2870, 513, 29628, 1699, 2619, 538, 519, 5547, 269, 634, 4890, 9211, 538, 519, 5911, 267, 2705, 267, 616, 13576, 538, 519, 6587, 4287, 267, 610, 4831, 12641, 1442, 3772, 563, 1103, 1837, 11387, 267, 835, 2356, 12034, 519, 3003, 6806, 2619, 269, 1717, 538, 1082, 3318, 2073, 519, 2619, 568, 711, 3254, 607, 6806, 269, 13298, 2666, 6698, 616, 1031, 547, 5815, 513, 1455, 4642, 6453, 585, 519, 5547, 267, 899, 713, 912, 763, 2666, 6698, 616, 519, 18746, 15738, 968, 541, 4900, 892, 693, 519, 5377, 269, 32279, 267, 855, 711, 2141, 267, 713, 6920, 519, 1482, 6453, 607, 519, 2942, 1439, 540, 519, 6007, 610, 1379, 3761, 563, 1607, 568, 513, 1455, 2707, 540, 10539, 585, 1346, 945, 723, 711, 5249, 609, 5547, 12222, 602, 6813, 2666, 267, 855, 621, 7494, 29776, 519, 5373, 540, 7294, 11387, 780, 24280, 519, 3902, 454, 303, 1137, 630, 20862, 1913, 994, 15478, 271, 269, 876, 454, 265, 25820, 609, 513, 10950, 476, 1428, 260, 10958, 4294, 563, 3682, 9133, 281, 1403, 596, 1616, 547, 4688, 811, 2724, 543, 2628, 519, 9803, 3902, 267, 596, 991, 547, 1305, 513, 811, 6905, 21120, 563, 2171, 917, 875, 2352, 621, 568, 547, 581, 513, 2875, 891, 2395, 269, 2334, 781, 1946, 938, 5777, 616, 835, 540, 519, 1034, 10097, 593, 519, 2344, 267, 543, 972, 616, 1100, 6456, 12375, 780, 21156, 267, 649, 2709, 13755, 4926, 267, 28774, 267, 543, 1863, 2533, 547, 1118, 707, 1995, 14222, 563, 1692, 621, 1568, 454, 3725, 576, 633, 513, 476, 1911, 260, 3312, 1957, 602, 786, 1780, 12414, 527, 514, 689, 513, 1283, 1557, 1603, 3028, 454, 21163, 476, 272, 454, 293, 650, 856, 519, 1931, 1106, 543, 1683, 1957, 3877, 269, 1411, 666, 1256, 8936, 13819, 32718, 610, 1039, 3606, 5528, 2663, 269, 1403, 1945, 568, 711, 2312, 610, 7508, 267, 519, 5856, 786, 3346, 596, 585, 27792, 563, 3682, 3028, 4388, 454, 1692, 547, 1205, 519, 1034, 856, 540, 707, 1995, 609, 14581, 631, 2737, 454, 3080, 5856, 2429, 519, 3003, 1109, 322, 6847, 454, 2252, 596, 899, 519, 5856, 267, 596, 666, 16926, 873, 1586, 269, 3807, 5299, 1299, 13594, 741, 9517, 593, 519, 1931, 1106, 9497, 7093, 31084, 27752, 781, 9517, 257, 2361, 1040, 901, 1259, 267, 707, 6863, 786, 581, 7833, 267, 543, 519, 5856, 786, 581, 3222, 540, 707, 2115, 563, 763, 1482, 1957, 689, 1114, 1109, 32392, 454, 2791, 666, 1931, 1557, 610, 1022, 824, 960, 689, 1079, 1114, 5830, 547, 3442, 519, 1655, 835, 610, 2285, 1776, 4528, 547, 513, 3659, 269, 901, 666, 581, 2944, 998, 519, 1039, 6823, 834, 306, 877, 1957, 689, 1776, 5856, 4799, 290, 4878, 540, 2959, 1031, 676, 519, 1109, 23116, 454, 5978, 2852, 1557, 5830, 960, 609, 3163, 17445, 543, 824, 12240, 269, 1358, 666, 6494, 596, 4930, 610, 2326, 1031, 538, 7300, 610, 998, 13819, 32718, 269, 3807, 8743, 519, 834, 290, 4878, 540, 2959, 257, 2361, 593, 519, 1931, 1106, 563, 14818, 30266, 10118, 454, 8450, 1946, 476, 736, 330, 266, 1053, 723, 6074, 721, 607, 741, 6852, 1603, 6351, 8502, 454, 13425, 856, 519, 5767, 8039, 543, 8369, 11643, 676, 1483, 5561, 5001, 543, 1118, 606, 5483, 3375, 563, 303, 11823, 2257, 454, 296, 899, 519, 1259, 621, 568, 6896, 267, 26564, 519, 1292, 1448, 267, 543, 5635, 519, 1079, 4930, 269, 11289, 596, 2336, 20578, 518, 476, 3393, 273, 3583, 272, 267, 5988, 476, 1321, 628, 267, 476, 1708, 274, 454, 28398, 532, 454, 14188, 596, 585, 707, 948, 269, 594, 1500, 513, 1906, 5634, 11941, 547, 519, 1957, 855, 2949, 621, 729, 1434, 563, 20578, 518, 476, 3393, 273, 6795, 272, 267, 5437, 476, 1556, 628, 267, 476, 1708, 272, 454, 15124, 1957, 7064, 2336, 20578, 518, 476, 3393, 273, 276, 6246, 267, 5130, 476, 2537, 6113, 267, 476, 1708, 274, 454, 303, 11823, 2257, 454, 14188, 596, 2336, 20578, 518, 476, 3393, 273, 3583, 272, 267, 5988, 476, 1321, 628, 267, 476, 1708, 274, 454, 19733, 454, 14188, 596, 865, 1454, 267, 1234, 6471, 577, 5856, 269, 596, 616, 865, 5363, 331, 269, 594, 5660, 782, 519, 2182, 1568, 269, 6423, 596, 563, 20578, 518, 476, 3393, 273, 3583, 272, 267, 5988, 476, 1321, 628, 267, 476, 1708, 274, 454, 293, 12099, 454, 14188, 596, 1360, 1454, 8627, 594, 1058, 9090, 1780, 1250, 1362, 1631, 269, 594, 5660, 596, 256, 2336, 20578, 518, 476, 3393, 273, 6795, 272, 267, 4873, 476, 1240, 628, 267, 476, 1708, 273, 454, 22897, 454, 20578, 518, 476, 3393, 273, 4649, 272, 267, 5239, 476, 2420, 526, 267, 476, 1708, 272, 454, 20329, 1108, 454, 296, 16761, 513, 14469, 543, 621, 729, 8120, 538, 1447, 982, 476, 2190, 3108, 269, 4279, 2816, 2336, 20578, 518, 476, 3393, 273, 5379, 278, 267, 5437, 476, 1428, 628, 267, 476, 1708, 271, 454, 20329, 1108, 454, 14188, 596, 269, 594, 786, 4464, 16472, 2899, 594, 4309, 621, 563, 20578, 518, 476, 3393, 273, 5379, 278, 267, 5147, 476, 1839, 628, 267, 476, 1708, 271, 454, 1556, 267, 276, 4817, 454, 20578, 518, 8039, 538, 2698, 454, 9834, 14999, 14483, 9547, 2557, 454, 274, 3817, 454, 30182, 1957, 3259, 454, 4391, 14999, 20578, 619, 5219, 676, 513, 3659, 0, 258, 20593, 1154, 543, 4635, 19590, 538, 12307, 692, 30206, 538, 1412, 29094, 6435, 262, 3323, 676, 19785, 10048, 267, 4455, 476, 2190, 267, 476, 1001, 275, 780, 272, 269, 12693, 19785, 10048, 27387, 853, 6621, 1715, 16588, 692, 14257, 476, 2190, 267, 476, 1001, 275, 454, 273, 454, 271, 454, 15916, 10484, 296, 6415, 1007, 1934, 543, 1007, 547, 519, 1158, 540, 5201, 538, 2489, 269, 594, 6415, 4867, 2469, 998, 2866, 547, 960, 593, 11418, 630, 13510, 542, 923, 1949, 264, 1369, 589, 7878, 269, 594, 6415, 15962, 621, 855, 594, 723, 513, 2603, 540, 7411, 23115, 856, 1697, 4559, 538, 4834, 269, 594, 666, 798, 519, 2979, 855, 1818, 2386, 519, 8918, 568, 538, 519, 1318, 5544, 543, 519, 1770, 568, 2953, 568, 1141, 594, 723, 7411, 269, 594, 729, 11842, 952, 4896, 1185, 1022, 4388, 543, 15361, 547, 875, 789, 4121, 543, 4294, 621, 780, 2304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4719, 335, 1042, 529, 6570, 269, 2340, 17302, 25265, 2177, 269, 27051, 476, 272, 538, 476, 15836, 1004, 723, 7131, 267, 2705, 267, 1034, 723, 2943, 547, 581, 8995, 269, 2340, 17302, 901, 1297, 568, 1759, 2390, 513, 24182, 3818, 7266, 518, 1353, 540, 1973, 5439, 6394, 689, 476, 1724, 267, 13970, 1004, 689, 2340, 17302, 5988, 476, 1960, 277, 547, 2904, 540, 476, 1220, 272, 269, 901, 1797, 602, 972, 941, 936, 476, 273, 269, 272, 2929, 3768, 328, 30938, 1004, 609, 524, 27112, 2340, 17302, 2068, 538, 519, 2136, 2276, 538, 476, 1220, 272, 269, 2340, 17302, 6353, 676, 630, 296, 326, 288, 25358, 264, 3441, 547, 519, 11940, 657, 531, 16298, 540, 519, 1507, 16892, 1634, 607, 5636, 748, 693, 15577, 269, 2340, 17302, 3743, 585, 519, 4731, 25388, 1632, 540, 5567, 4611, 538, 22926, 269, 2340, 17302, 5532, 547, 2960, 28338, 1634, 607, 27150, 1200, 7065, 6134, 529, 630, 291, 295, 1040, 2340, 17302, 5532, 547, 15347, 693, 1314, 807, 269, 2340, 17302, 711, 2085, 17466, 269, 898, 949, 1831, 3742, 693, 1022, 2085, 269, 2340, 17302, 5532, 547, 16220, 10299, 1277, 24899, 6312, 2225, 1591, 26898, 630, 295, 6369, 19010, 274, 5937, 304, 273, 267, 19010, 276, 270, 278, 667, 304, 273, 267, 543, 19010, 275, 5937, 304, 279, 1040, 2340, 17302, 4033, 4719, 6402, 723, 1044, 4857, 5861, 27112, 8376, 568, 10691, 281, 2340, 17302, 3274, 513, 1426, 14711, 630, 296, 326, 292, 1040, 2340, 17302, 606, 7329, 3930, 2106, 29386, 5114, 547, 1426, 5946, 630, 9712, 730, 676, 16384, 292, 1040, 2340, 17302, 1462, 1881, 676, 513, 4028, 1277, 8533, 15178, 5114, 630, 7945, 607, 19357, 2214, 11047, 267, 2712, 6776, 7559, 267, 3092, 12175, 2340, 17302, 606, 22166, 267, 513, 1875, 268, 14545, 1062, 3210, 547, 1426, 7868, 12456, 1645, 19871, 17773, 763, 2165, 834, 6921, 9790, 257, 568, 267, 538, 513, 2631, 267, 513, 13598, 2165, 585, 519, 4859, 5946, 602, 616, 1336, 3824, 23230, 269, 769, 4641, 267, 1142, 1826, 540, 3940, 910, 15347, 514, 543, 1350, 328, 611, 514, 538, 10568, 267, 3813, 16433, 538, 30383, 267, 554, 867, 324, 514, 514, 24061, 267, 14698, 514, 538, 28113, 267, 18410, 514, 538, 8970, 543, 610, 344, 7999, 514, 538, 7573, 910, 568, 5594, 1114, 689, 519, 1866, 7868, 834, 6921, 9790, 257, 538, 10568, 267, 30383, 267, 24061, 267, 543, 538, 513, 1454, 2539, 2179, 267, 28113, 267, 3568, 1880, 11254, 29403, 9696, 602, 616, 5739, 547, 7606, 609, 524, 27112, 2068, 269, 634, 14124, 5946, 616, 31860, 3638, 538, 605, 1467, 543, 22965, 8533, 630, 18034, 519, 11254, 3679, 9696, 799, 616, 538, 519, 31742, 532, 9753, 281, 1160, 4149, 518, 8566, 15238, 8566, 15238, 543, 3794, 333, 8566, 15238, 8566, 15238, 268, 3682, 1040, 1306, 30902, 267, 930, 971, 607, 476, 3451, 5336, 2207, 267, 4754, 2254, 581, 7745, 1524, 1022, 2417, 269, 769, 1004, 609, 524, 27112, 2068, 267, 476, 3451, 5336, 2207, 22262, 570, 16052, 338, 1283, 28558, 12489, 269, 14938, 1878, 5627, 607, 1906, 607, 476, 278, 11254, 7408, 666, 581, 6757, 547, 1346, 609, 576, 2993, 659, 2068, 269, 634, 12489, 267, 538, 2490, 267, 4323, 519, 5636, 328, 538, 519, 1507, 16892, 267, 4227, 741, 2702, 1729, 10110, 5567, 563, 2005, 568, 1271, 547, 4063, 602, 891, 9696, 616, 10691, 1336, 538, 519, 5946, 540, 8970, 543, 7573, 7868, 7186, 540, 519, 28864, 763, 3441, 547, 519, 1507, 16892, 630, 1492, 14247, 329, 684, 636, 264, 3361, 676, 713, 2068, 568, 1360, 3500, 547, 1020, 663, 568, 1202, 573, 1190, 269, 898, 568, 281, 2340, 17302, 3592, 6157, 25358, 676, 519, 4761, 1062, 269, 2340, 17302, 2404, 609, 4888, 2316, 289, 7495, 22494, 547, 15347, 514, 267, 1350, 328, 611, 514, 267, 1427, 545, 6081, 543, 5924, 1439, 558, 903, 658, 630, 8243, 26743, 4887, 264, 5946, 269, 2340, 17302, 4440, 711, 2047, 3361, 676, 519, 12489, 267, 1498, 789, 949, 581, 6786, 585, 1591, 268, 25358, 12046, 269, 2340, 17302, 4440, 3812, 676, 519, 10408, 4761, 1062, 630, 307, 543, 645, 2281, 264, 910, 855, 1152, 950, 15347, 268, 1826, 605, 4594, 1231, 616, 1459, 269, 2340, 17302, 31181, 267, 538, 1034, 2665, 267, 547, 4625, 3339, 15108, 1599, 267, 952, 519, 3614, 21874, 3940, 568, 16934, 689, 519, 2732, 269, 2340, 17302, 3339, 15108, 1599, 267, 13165, 267, 19228, 610, 8886, 762, 15108, 2589, 949, 581, 1459, 32289, 1684, 1411, 5192, 595, 27112, 8376, 286, 290, 27112, 2068, 3112, 581, 834, 322, 4381, 2437, 855, 2864, 519, 1761, 585, 7131, 949, 581, 538, 519, 1560, 689, 19689, 269, 4706, 12614, 568, 711, 16876, 547, 513, 1880, 2085, 2039, 610, 4008, 267, 4352, 811, 2021, 616, 10972, 30938, 982, 2367, 269, 898, 568, 711, 1634, 4010, 1018, 31591, 519, 2068, 267, 2705, 1614, 1919, 732, 2838, 585, 513, 1268, 547, 1020, 7131, 281, 2340, 17302, 589, 4719, 29916, 281, 1373, 4535, 609, 519, 2556, 6090, 269, 634, 5274, 2274, 4157, 22889, 4165, 3394, 630, 295, 6369, 264, 6090, 4481, 5532, 547, 524, 27112, 2068, 616, 19010, 274, 267, 667, 304, 273, 543, 667, 304, 279, 1862, 663, 1866, 269, 2340, 17302, 589, 9594, 281, 930, 2825, 267, 3929, 610, 2168, 2680, 538, 835, 779, 1272, 269, 2755, 24254, 2188, 616, 711, 4628, 6956, 267, 7399, 1331, 267, 855, 616, 711, 3908, 547, 4946, 17571, 547, 513, 4816, 779, 2732, 267, 2469, 998, 23648, 267, 11972, 513, 6391, 610, 6379, 267, 7680, 513, 17173, 3510, 267, 20414, 513, 3644, 267, 2810, 654, 289, 4629, 2472, 538, 519, 2732, 267, 610, 3384, 513, 9190, 3968, 547, 799, 519, 4761, 1062, 20781, 538, 1952, 10187, 2299, 269, 2340, 17302, 589, 2732, 281, 5627, 654, 289, 4629, 267, 610, 1022, 540, 741, 16755, 2529, 636, 4424, 290, 27112, 2068, 568, 1272, 17489, 543, 4867, 1651, 9092, 269, 634, 1152, 1634, 2126, 693, 713, 942, 568, 7453, 611, 11447, 547, 513, 15347, 6954, 6197, 267, 1863, 540, 654, 289, 4629, 269, 744, 1846, 616, 711, 513, 1981, 1863, 3903, 585, 1346, 609, 576, 2993, 659, 2068, 543, 711, 556, 764, 2174, 2105, 1282, 519, 1101, 1032, 269, 1703, 568, 1100, 1259, 547, 3313, 538, 611, 9330, 2436, 610, 711, 513, 1268, 786, 581, 2111, 547, 20496, 796, 4186, 3133, 730, 28113, 269, 13555, 595, 6347, 585, 817, 2700, 543, 5583, 593, 4098, 513, 15347, 6954, 6197, 269, 1548, 568, 519, 840, 767, 766, 540, 524, 27112, 323, 1047, 848, 538, 519, 2136, 2276, 286, 763, 2817, 2657, 543, 12594, 22410, 11752, 630, 26822, 3198, 2464, 264, 568, 513, 1982, 540, 2090, 9188, 11220, 547, 2708, 519, 1072, 543, 9422, 4567, 540, 4079, 543, 1453, 538, 519, 2136, 2276, 7868, 5619, 568, 2189, 538, 602, 621, 10905, 11042, 543, 2168, 18362, 269, 5565, 1007, 638, 5465, 3773, 547, 1331, 524, 27112, 2068, 269, 14330, 304, 5400, 273, 910, 17451, 1044, 5143, 596, 723, 524, 27112, 2068, 286, 14330, 304, 5400, 277, 910, 3657, 596, 593, 513, 15347, 6954, 2732, 286, 19760, 3198, 2464, 15048, 269, 0, 298, 1170, 532, 568, 513, 5418, 553, 9092, 1995, 585, 1034, 1004, 267, 543, 533, 3089, 1359, 909, 568, 811, 982, 1175, 2220, 6260, 19975, 1063, 1079, 13730, 18798, 269, 5808, 6785, 972, 729, 865, 1454, 547, 21098, 532, 888, 6097, 547, 2257, 267, 952, 596, 2490, 707, 2212, 547, 519, 1318, 1247, 21098, 532, 267, 596, 2461, 513, 811, 3929, 1268, 982, 2576, 945, 21266, 1206, 741, 2212, 547, 519, 2451, 1247, 1818, 856, 269, 634, 1318, 21571, 540, 519, 2634, 568, 3743, 585, 7920, 7553, 267, 543, 849, 8060, 519, 2451, 2427, 540, 519, 1560, 267, 865, 2257, 5267, 602, 21098, 619, 945, 28550, 547, 519, 1318, 1247, 1818, 856, 4043, 547, 581, 811, 3929, 1004, 267, 6466, 2451, 2389, 559, 1562, 616, 811, 3668, 2000, 13831, 538, 519, 21098, 532, 8257, 563, 298, 1170, 532, 17236, 8477, 1932, 267, 543, 568, 513, 9910, 15904, 585, 519, 1560, 269, 918, 1170, 532, 585, 513, 8792, 666, 6633, 909, 547, 3670, 8477, 513, 8792, 268, 519, 811, 13730, 267, 519, 1732, 269, 2659, 1118, 856, 7908, 666, 2965, 6633, 513, 1713, 2179, 540, 8477, 267, 13380, 547, 3368, 519, 8477, 14616, 676, 28185, 3101, 585, 513, 8792, 256, 589, 2603, 811, 1187, 267, 543, 9090, 811, 14785, 269, 5269, 856, 585, 476, 276, 3764, 543, 596, 666, 6633, 909, 547, 476, 1789, 8477, 2336, 12441, 596, 917, 602, 519, 3328, 1480, 5023, 3568, 476, 7785, 17900, 267, 543, 2687, 547, 3220, 269, 17555, 5062, 301, 8372, 689, 519, 17638, 20351, 2657, 10418, 538, 5245, 267, 22031, 22807, 645, 267, 4411, 21399, 267, 543, 23971, 19905, 666, 581, 4483, 762, 8290, 3842, 21098, 532, 267, 855, 519, 12918, 540, 22151, 513, 3644, 3842, 21098, 532, 616, 4686, 269, 2701, 5267, 21098, 532, 513, 4411, 15319, 3411, 19907, 593, 519, 32336, 547, 2057, 3478, 519, 3644, 3054, 267, 543, 602, 856, 540, 782, 519, 1082, 17900, 649, 4163, 3232, 538, 938, 28182, 267, 519, 1434, 17900, 29387, 519, 3983, 865, 519, 10171, 540, 20414, 17900, 610, 8290, 3842, 21098, 532, 616, 9425, 4686, 269, 15788, 267, 1352, 3081, 267, 519, 1434, 540, 21098, 532, 29387, 338, 519, 3983, 676, 2484, 267, 543, 602, 21098, 532, 568, 513, 1187, 267, 5418, 553, 9092, 2534, 267, 543, 602, 968, 2005, 779, 16613, 602, 4376, 568, 10299, 998, 21098, 532, 9731, 2005, 3217, 513, 2603, 540, 960, 547, 533, 27462, 909, 607, 1134, 269, 589, 2407, 6823, 1118, 856, 8400, 666, 946, 782, 476, 4097, 540, 938, 11132, 6091, 267, 543, 909, 547, 476, 12208, 824, 15629, 6091, 547, 1832, 2953, 14302, 1247, 1818, 856, 543, 5329, 538, 513, 6899, 2990, 269, 3143, 4898, 21098, 532, 17236, 865, 1082, 8477, 2336, 763, 13074, 21098, 2479, 6592, 729, 476, 3451, 3108, 1279, 267, 5340, 676, 20917, 667, 1446, 344, 543, 7585, 2421, 2052, 857, 10314, 540, 519, 2136, 2276, 538, 476, 1001, 271, 267, 2687, 547, 2594, 6868, 3820, 269, 2334, 1590, 581, 3833, 519, 15904, 256, 1358, 1185, 547, 1685, 519, 21098, 1510, 1022, 1964, 9397, 543, 1185, 547, 2611, 7555, 519, 3003, 942, 538, 1931, 547, 1711, 519, 2594, 269, 0, 13553, 3446, 1053, 6743, 693, 519, 960, 540, 28741, 681, 28907, 879, 585, 6667, 593, 713, 1788, 269, 1284, 14437, 827, 1010, 946, 540, 20718, 543, 1871, 269, 594, 2648, 6404, 2923, 3785, 1317, 1053, 1205, 513, 4960, 547, 2259, 1210, 6266, 540, 1114, 1148, 2326, 269, 1284, 1031, 2191, 320, 5862, 585, 938, 2831, 267, 1216, 10233, 11547, 585, 519, 10080, 543, 4070, 1957, 543, 22916, 976, 547, 1711, 519, 2458, 720, 563, 31388, 267, 4989, 476, 2420, 267, 476, 1001, 274, 454, 307, 11698, 267, 4989, 476, 1626, 267, 476, 1001, 274, 454, 23612, 3446, 1053, 941, 6273, 676, 30686, 16205, 267, 513, 4436, 18048, 543, 1820, 20447, 267, 835, 540, 519, 1883, 5515, 540, 519, 4436, 20309, 626, 3350, 269, 1284, 14437, 827, 1210, 2681, 547, 1397, 7553, 269, 1284, 849, 13736, 16471, 4778, 543, 5595, 15205, 938, 26814, 269, 634, 10367, 5828, 856, 1390, 563, 2171, 849, 1031, 519, 28258, 611, 543, 519, 623, 2075, 565, 1807, 813, 547, 8523, 543, 7369, 938, 10367, 269, 901, 813, 814, 930, 1390, 2360, 269, 3371, 616, 930, 540, 938, 10367, 543, 519, 829, 3712, 730, 4528, 269, 0, 4692, 649, 2661, 1510, 6070, 630, 25203, 494, 21663, 3143, 267, 6070, 568, 1360, 1271, 547, 721, 269, 1284, 991, 6070, 538, 938, 1426, 269, 12292, 991, 621, 267, 1932, 269, 4107, 540, 519, 6070, 538, 938, 2197, 2501, 689, 519, 4262, 1216, 269, 4658, 2007, 1360, 2462, 20115, 630, 418, 365, 510, 417, 350, 502, 264, 543, 1577, 4262, 1216, 538, 269, 1879, 519, 3141, 1743, 625, 909, 630, 418, 503, 496, 23946, 366, 264, 519, 1216, 267, 1004, 666, 1205, 6070, 689, 519, 2666, 7868, 6070, 568, 3043, 267, 2973, 543, 4190, 269, 1703, 616, 513, 2603, 540, 6070, 19401, 630, 11590, 499, 264, 538, 590, 747, 10224, 269, 589, 6070, 1134, 568, 1454, 899, 513, 1216, 1134, 269, 4658, 3142, 519, 1134, 1216, 909, 547, 519, 2666, 543, 1287, 3819, 621, 538, 2462, 30660, 630, 419, 377, 494, 31878, 8147, 417, 507, 505, 31878, 264, 936, 3595, 269, 769, 713, 1259, 789, 1205, 6070, 269, 1284, 666, 849, 1205, 6070, 689, 6070, 15183, 630, 419, 509, 379, 1040, 589, 6070, 9553, 949, 581, 1336, 896, 519, 2666, 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 ]
[ 1535, 476, 276, 476, 273, 27702, 343, 476, 279, 1535, 476, 276, 476, 277, 27702, 343, 476, 275, 476, 273, 343, 476, 279, 1535, 476, 276, 476, 277, 27702, 343, 476, 273, 343, 476, 275, 476, 279, 1535, 476, 276, 476, 279, 27702, 343, 476, 275, 1535, 476, 276, 5153, 476, 273, 10576, 1535, 268, 11161, 585, 799, 519, 4082, 568, 3768, 18249, 780, 277, 343, 268, 274, 476, 278, 343, 268, 276, 383, 366, 1535, 268, 7906, 343, 333, 910, 1535, 910, 276, 312, 311, 383, 482, 383, 366, 269, 2473, 476, 276, 5153, 476, 272, 5410, 269, 476, 275, 27702, 1535, 476, 274, 476, 273, 343, 476, 272, 476, 279, 343, 476, 273, 21718, 780, 280, 268, 276, 17006, 543, 16265, 24219, 21929, 25285, 28267, 297, 269, 14572, 21929, 12307, 476, 273, 269, 17006, 543, 16265, 24219, 21929, 25285, 609, 9521, 17006, 543, 16265, 24219, 21929, 25285, 780, 20464, 476, 1015, 476, 1708, 272, 593, 17006, 1656, 16265, 24219, 21929, 25285, 8018, 10789, 476, 273, 21584, 269, 2422, 513, 1455, 14009, 547, 1039, 610, 10208, 7787, 7215, 269, 901, 1826, 540, 3510, 568, 2731, 9992, 4842, 543, 609, 519, 948, 540, 930, 11108, 10789, 4543, 11226, 780, 2414, 5410, 610, 16265, 847, 21929, 25285, 609, 513, 5871, 9324, 7631, 1807, 476, 272, 269, 674, 16898, 3036, 32159, 950, 2009, 269, 1677, 1039, 610, 10208, 7787, 7215, 609, 519, 1482, 32159, 780, 31936, 1142, 835, 2501, 609, 606, 2626, 1883, 269, 476, 272, 579, 476, 276, 341, 476, 279, 341, 273, 340, 273, 579, 476, 277, 341, 476, 279, 341, 273, 340, 273, 476, 273, 476, 276, 333, 476, 1789, 544, 476, 273, 332, 476, 275, 333, 476, 1789, 544, 476, 274, 513, 476, 273, 321, 476, 277, 320, 274, 476, 276, 320, 476, 275, 321, 476, 277, 320, 274, 476, 275, 1535, 586, 476, 1240, 27976, 476, 277, 343, 586, 476, 1240, 27976, 476, 276, 476, 275, 320, 476, 276, 476, 277, 320, 273, 476, 1789, 513, 513, 476, 272, 476, 277, 320, 273, 476, 1789, 513, 476, 277, 476, 276, 343, 476, 275, 476, 280, 343, 274, 476, 2767, 1535, 273, 1535, 476, 277, 476, 280, 343, 274, 476, 2767, 1535, 273, 476, 278, 536, 476, 274, 476, 1321, 536, 476, 1240, 476, 275, 321, 476, 1321, 536, 476, 1240, 476, 279, 562, 269, 17006, 543, 18946, 7787, 7215, 4976, 7223, 476, 273, 7824, 780, 280, 268, 7906, 17006, 543, 16265, 24219, 21929, 269, 17006, 543, 16265, 24219, 21929, 25285, 476, 272, 269, 2473, 273, 476, 273, 343, 910, 476, 279, 1535, 476, 275, 476, 279, 780, 8245, 680, 1518, 519, 1249, 542, 952, 2009, 269, 8745, 21929, 20309, 8018, 476, 1015, 269, 3848, 476, 279, 476, 1691, 3794, 523, 1723, 324, 10789, 476, 273, 476, 279, 268, 273, 6657, 17006, 543, 16265, 24219, 21929, 25285, 4855, 519, 700, 13967, 540, 1142, 1305, 540, 21335, 780, 268, 273, 5025, 985, 9955, 547, 17006, 543, 16265, 24219, 21929, 25285, 609, 6145, 9324, 7631, 2209, 476, 272, 476, 274, 1535, 586, 476, 277, 344, 274, 476, 273, 1535, 476, 275, 344, 476, 1428, 343, 273, 344, 274, 476, 274, 476, 276, 678, 476, 276, 337, 476, 1839, 476, 275, 476, 275, 536, 476, 277, 321, 476, 1015, 476, 276, 476, 273, 1535, 476, 274, 476, 277, 476, 272, 562, 476, 277, 476, 278, 476, 273, 562, 476, 272, 476, 279, 476, 276, 476, 273, 333, 273, 476, 1015, 333, 476, 280, 476, 272, 476, 273, 343, 273, 476, 277, 343, 476, 736, 476, 1015, 476, 272, 737, 476, 277, 269, 634, 2698, 1184, 540, 4946, 610, 18946, 7787, 7215, 3096, 4466, 519, 561, 7251, 543, 1603, 6697, 8454, 269, 22217, 4328, 513, 7787, 4082, 18946, 7787, 7215, 476, 1724, 780, 311, 476, 276, 1317, 476, 276, 2306, 519, 14009, 3160, 476, 271, 269, 11404, 589, 273, 476, 3583, 570, 8008, 269, 476, 277, 27702, 343, 476, 275, 1535, 476, 276, 476, 273, 343, 476, 279, 21718, 780, 31580, 476, 272, 21929, 269, 17006, 8138, 339, 24219, 5410, 610, 10208, 891, 7787, 7215, 269, 8791, 476, 9818, 5410, 543, 16265, 847, 21929, 25285, 780, 29002, 543, 16265, 24219, 21929, 25285, 25269, 343, 910, 17006, 769, 713, 2013, 649, 616, 4946, 543, 18946, 7787, 269, 2473, 273, 910, 476, 273, 343, 910, 476, 277, 1535, 273, 476, 277, 343, 476, 279, 476, 280, 269, 2473, 476, 272, 1535, 476, 274, 476, 275, 780, 305, 1168, 1679, 1142, 6824, 607, 606, 6697, 6824, 609, 519, 561, 7251, 269, 17006, 543, 16265, 24219, 21929, 25285, 6096, 901, 21929, 25285, 4976, 786, 3132, 2042, 585, 4946, 543, 18946, 7787, 7215, 269, 17006, 543, 18946, 7787, 7215, 3211, 713, 7787, 7215, 4976, 786, 3132, 2042, 585, 4946, 543, 18946, 7787, 7215, 780, 280, 268, 7906, 17006, 543, 16265, 24219, 21929, 25285, 5254, 288, 269, 918, 586, 22558, 579, 320, 1990, 323, 14858, 294, 645, 342, 290, 328, 795, 339, 476, 277, 6255, 533, 296, 534, 331, 1111, 328, 795, 333, 308, 328, 276, 339, 3891, 306, 544, 5723, 331, 27002, 31800, 304, 2421, 337, 277, 320, 271, 667, 273, 12702, 8018, 676, 918, 25917, 12229, 20941, 918, 25917, 12229, 910, 5606, 9548, 10789, 476, 273, 8745, 27702, 17006, 8138, 339, 24219, 21929, 25285, 11261, 27702, 11270, 1693, 22217, 1518, 1142, 4082, 269, 17006, 1656, 16265, 24219, 21929, 25285, 8018, 8382, 6206, 10789, 476, 273, 898, 2731, 568, 512, 3931, 950, 707, 19920, 2307, 596, 538, 29000, 891, 7223, 1753, 13333, 543, 596, 849, 616, 711, 2111, 547, 9585, 713, 2777, 3252, 610, 596, 949, 711, 1265, 856, 827, 873, 538, 799, 596, 723, 711, 2944, 7223, 1369, 707, 1164, 1153, 2395, 543, 17334, 780, 272, 579, 642, 476, 279, 341, 476, 277, 340, 476, 274, 341, 476, 279, 341, 476, 273, 544, 476, 274, 333, 476, 277, 332, 274, 333, 544, 476, 274, 333, 476, 277, 332, 274, 333, 476, 274, 476, 276, 513, 273, 476, 274, 320, 476, 273, 476, 276, 320, 476, 272, 269, 476, 272, 579, 642, 476, 279, 341, 476, 277, 340, 476, 274, 341, 476, 279, 341, 476, 273, 544, 476, 274, 333, 476, 277, 332, 274, 333, 544, 476, 274, 333, 476, 277, 332, 274, 333, 476, 274, 476, 276, 513, 273, 476, 274, 320, 476, 273, 269, 5410, 610, 10208, 519, 6746, 2209, 780, 1607, 4990, 540, 3510, 568, 865, 646, 8157, 543, 609, 519, 948, 540, 930, 5140, 10789, 269, 476, 273, 343, 476, 272, 5153, 476, 272, 16265, 847, 269, 476, 272, 780, 1607, 21929, 25285, 4976, 568, 513, 1434, 4199, 585, 1053, 538, 519, 476, 280, 628, 6103, 476, 1015, 628, 6103, 476, 1556, 628, 6103, 543, 476, 1321, 628, 6103, 269, 476, 274, 476, 275, 342, 476, 273, 476, 275, 342, 910, 476, 272, 476, 278, 269, 8058, 707, 1455, 32159, 543, 6746, 2209, 593, 713, 6656, 610, 5094, 1957, 780, 305, 1049, 25285, 11314, 1280, 4400, 3427, 10789, 22217, 4328, 21929, 20309, 21929, 25285, 22217, 4328, 21929, 25285, 13749, 11242, 692, 303, 514, 2201, 15099, 16677, 698, 9609, 692, 13349, 11759, 10789, 594, 328, 5149, 476, 1015, 7689, 476, 279, 17006, 1656, 16265, 24219, 21929, 25285, 11819, 30344, 21929, 25285, 5871, 11759, 10789, 10789, 545, 25285, 692, 31580, 476, 272, 6096, 17943, 1280, 10789, 476, 272, 6096, 21929, 10606, 16265, 24219, 21929, 10606, 9119, 6096, 692, 31580, 476, 272, 6096, 21929, 25285, 6096, 21929, 25285, 22217, 4328, 21929, 25285, 4569, 25285, 692, 303, 514, 1635, 2480, 3530, 1245, 539, 4569, 1656, 3163, 2201, 10789, 476, 273, 9752, 21929, 25285, 22217, 4328, 21929, 25285, 25285, 692, 303, 514, 1635, 667, 539, 571, 4858, 343, 1889, 9807, 2201, 10789, 476, 273, 21929, 25285, 22217, 4328, 21929, 25285, 4569, 25285, 692, 31580, 476, 272, 6096, 17943, 1280, 10789, 476, 272, 6096, 29435, 532, 21929, 10606, 21929, 10606, 7089, 6096, 692, 8512, 1676, 8018, 5637, 12226, 9701, 26969, 4634, 9282, 7756, 10819, 21929, 25285, 22217, 4328, 25285, 22217, 4328, 21929, 25285, 692, 11372, 28745, 1656, 29435, 532, 21929, 25285, 21929, 25285, 22217, 4328, 21929, 25285, 22217, 4328, 7101, 673, 25285, 692, 15507, 11778, 1280, 17006, 21929, 25285, 21929, 25285, 9752, 2349, 9233, 4569, 25285, 692, 303, 514, 1635, 4569, 11819, 2201, 10789, 21929, 25285, 10789, 476, 273, 9752, 10789, 692, 291, 558, 3626, 11314, 22217, 4328, 21929, 25285, 21929, 25285, 22217, 4328, 21929, 25285, 25285, 11242, 692, 2162, 7066, 526, 532, 4653, 692, 7462, 32274, 11242, 1280, 15206, 454, 30607, 681, 1506, 2719, 9293, 1280, 15206, 692, 272, 5182, 476, 273, 6801, 476, 274, 6801, 476, 275, 6801, 476, 276, 6801, 692, 27165, 674, 2948, 924, 692, 29394, 779, 623, 6506, 692, 2162, 681, 1506, 2719, 9293, 1280, 15206, 692, 2971, 6145, 8018, 15206, 692, 7462, 15206, 11819, 15750, 2572, 454, 30607, 32274, 11242, 1280, 15206, 692, 13146, 24762, 692, 290, 20975, 692, 12507, 628, 569, 19964, 692, 1805, 1738, 9664, 692, 28082, 11829, 7685, 0, 1012, 22614, 503, 377, 13644, 507, 14756, 493, 10429, 372, 28997, 501, 25622, 419, 367, 375, 28578, 18263, 489, 11590, 498, 13127, 377, 496, 23946, 370, 26406, 496, 31365, 7511, 14395, 508, 27064, 364, 692, 25051, 496, 23946, 370, 26406, 496, 31365, 15159, 417, 375, 374, 419, 360, 489, 21928, 25051, 496, 23946, 370, 418, 497, 491, 30853, 31968, 7511, 13601, 26175, 491, 20069, 10533, 486, 7511, 26406, 496, 31365, 28997, 501, 25622, 12486, 13644, 354, 28997, 501, 25622, 15159, 19404, 485, 17958, 26166, 418, 366, 375, 25622, 27818, 19667, 728, 543, 1230, 20960, 24724, 7511, 22047, 30837, 508, 27747, 372, 10429, 372, 417, 508, 489, 7511, 18021, 498, 17958, 12486, 692, 3499, 2260, 16533, 484, 20069, 31365, 12255, 14756, 482, 320, 26514, 25520, 321, 26514, 12571, 486, 23946, 370, 28996, 322, 26514, 18809, 454, 341, 1355, 6490, 2044, 26161, 17301, 513, 314, 3910, 703, 562, 267, 703, 536, 314, 3910, 703, 544, 267, 703, 524, 314, 7481, 19127, 842, 1775, 267, 795, 267, 737, 16963, 328, 815, 795, 815, 737, 815, 476, 271, 3248, 6112, 630, 328, 2999, 562, 30974, 795, 2999, 544, 994, 19127, 604, 630, 320, 5157, 316, 2999, 536, 14728, 7481, 322, 25208, 10030, 316, 815, 513, 5157, 10030, 30092, 12828, 454, 322, 25208, 10030, 316, 815, 536, 14728, 10030, 30092, 10926, 6112, 630, 328, 2999, 562, 994, 322, 25208, 10030, 316, 815, 513, 5157, 10030, 316, 16963, 6112, 630, 329, 2999, 544, 994, 322, 25208, 10030, 316, 815, 536, 14728, 10030, 30092, 348, 7884, 3499, 2260, 16533, 484, 20069, 11590, 490, 14748, 20069, 31365, 12255, 28578, 320, 314, 14140, 1862, 13232, 316, 25520, 320, 314, 13232, 1862, 18431, 316, 12571, 486, 23946, 370, 25707, 341, 1355, 19467, 6783, 17301, 513, 314, 3910, 703, 1101, 267, 703, 4571, 267, 703, 2063, 267, 703, 10917, 314, 7481, 19127, 842, 1775, 815, 1101, 267, 795, 815, 4571, 1341, 476, 272, 3248, 842, 544, 815, 4571, 267, 567, 562, 815, 2063, 3248, 842, 737, 815, 476, 271, 16963, 6112, 630, 328, 10922, 544, 30974, 795, 10922, 562, 994, 19127, 604, 630, 320, 5157, 316, 10922, 513, 14728, 7481, 31184, 25208, 10030, 316, 815, 513, 5157, 10030, 30092, 12828, 454, 31184, 25208, 10030, 316, 815, 513, 14728, 10030, 30092, 10926, 6112, 630, 328, 10922, 544, 994, 31184, 25208, 10030, 316, 815, 513, 5157, 10030, 316, 16963, 6112, 630, 329, 10922, 562, 994, 31184, 25208, 10030, 316, 815, 513, 14728, 10030, 316, 16963, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 737, 282, 1775, 10030, 994, 320, 314, 14140, 1341, 1775, 316, 815, 10917, 5157, 30092, 8679, 341, 1355, 12388, 525, 677, 17301, 513, 314, 3910, 703, 1101, 267, 703, 2063, 267, 703, 10917, 314, 7481, 19127, 604, 630, 14140, 2999, 2063, 994, 19127, 842, 4571, 815, 630, 14140, 1341, 2063, 264, 1315, 476, 273, 3248, 1067, 2471, 677, 5416, 267, 1101, 267, 4571, 267, 10917, 5148, 825, 12262, 26266, 355, 20001, 373, 20069, 31365, 454, 1067, 2471, 677, 5416, 267, 4571, 1341, 476, 272, 267, 2063, 267, 10917, 5148, 12262, 9463, 367, 20001, 373, 20069, 31365, 454, 1067, 613, 6783, 5416, 267, 1101, 267, 4571, 267, 2063, 267, 10917, 5148, 12262, 19540, 491, 16533, 484, 11590, 490, 14748, 20069, 31365, 12255, 28578, 12571, 486, 23946, 370, 454, 8679, 10926, 321, 944, 8585, 613, 31374, 17301, 513, 314, 3910, 703, 562, 994, 19127, 842, 2608, 335, 815, 1007, 703, 19559, 30092, 604, 630, 335, 2652, 715, 26097, 994, 8873, 7301, 3248, 1067, 2471, 677, 5416, 267, 476, 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 ]
[ 578, 1564, 15405, 2745, 6600, 8807, 559, 614, 318, 4621, 517, 1218, 28829, 0, 4752, 823, 815, 314, 314, 276, 16427, 272, 267, 275, 25662, 277, 267, 274, 16427, 272, 25662, 273, 16427, 272, 267, 272, 27663, 337, 815, 476, 272, 3097, 322, 815, 476, 271, 454, 332, 913, 815, 22373, 2998, 2580, 262, 2998, 12887, 2431, 12887, 2998, 12887, 2431, 12887, 2998, 12887, 3847, 12887, 2998, 262, 6540, 3698, 1141, 318, 2998, 5560, 343, 267, 11276, 31599, 2187, 825, 952, 15848, 2525, 268, 272, 543, 10085, 2525, 271, 10778, 1038, 952, 544, 2652, 834, 2431, 13426, 2018, 15848, 284, 476, 271, 454, 2018, 10085, 284, 476, 272, 454, 1038, 8640, 544, 2652, 834, 3847, 13426, 2018, 15848, 815, 476, 271, 454, 2018, 10085, 815, 910, 272, 454, 825, 8640, 15848, 2525, 271, 543, 10085, 2652, 272, 912, 1038, 952, 544, 2652, 834, 2431, 13426, 2018, 15848, 284, 476, 272, 454, 2018, 10085, 284, 476, 271, 454, 1038, 8640, 544, 2652, 834, 3847, 13426, 2018, 15848, 815, 910, 272, 454, 2018, 10085, 815, 476, 271, 454, 825, 8640, 15848, 2525, 272, 543, 10085, 2525, 271, 912, 1038, 952, 544, 2652, 834, 2431, 13426, 2018, 15848, 284, 476, 271, 454, 2018, 10085, 284, 910, 272, 454, 1038, 8640, 544, 2652, 834, 3847, 13426, 2018, 15848, 815, 476, 271, 454, 2018, 10085, 815, 476, 272, 692, 825, 8640, 15848, 2525, 271, 543, 10085, 2525, 268, 272, 912, 1038, 952, 544, 2652, 834, 2431, 13426, 2018, 15848, 284, 910, 272, 454, 2018, 10085, 284, 476, 271, 454, 1038, 8640, 544, 2652, 834, 3847, 13426, 2018, 15848, 815, 476, 272, 454, 2018, 10085, 815, 476, 271, 22562, 825, 2132, 15848, 267, 11276, 692, 3698, 3070, 263, 4752, 823, 267, 678, 267, 524, 267, 1847, 2187, 825, 15848, 267, 11276, 815, 910, 272, 267, 271, 692, 825, 2626, 815, 5604, 314, 337, 6012, 322, 2639, 825, 5604, 314, 337, 6012, 322, 24557, 271, 22562, 825, 681, 815, 7003, 263, 4752, 823, 2020, 825, 585, 544, 538, 1847, 1384, 1038, 952, 544, 2652, 834, 2998, 13426, 2018, 562, 337, 267, 562, 322, 815, 678, 266, 11459, 2073, 322, 1341, 10085, 692, 2018, 952, 562, 337, 283, 271, 610, 562, 337, 13843, 681, 610, 562, 322, 2999, 271, 610, 562, 322, 13843, 305, 912, 3546, 3136, 454, 2018, 952, 5604, 19559, 337, 6012, 333, 322, 316, 2652, 268, 272, 10778, 3546, 3136, 1038, 454, 27030, 2018, 2626, 815, 2626, 1341, 5604, 19559, 337, 6012, 333, 322, 2639, 2018, 678, 267, 524, 815, 562, 337, 19885, 322, 454, 2018, 5604, 314, 337, 6012, 322, 316, 815, 476, 271, 454, 1038, 3116, 912, 2018, 15848, 267, 11276, 815, 1141, 318, 2998, 5560, 343, 267, 11276, 31599, 994, 13872, 825, 2132, 2626, 7531, 2745, 4433, 1828, 263, 4752, 823, 267, 337, 22698, 31599, 913, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 896, 713, 22597, 4586, 5319, 1444, 4214, 568, 910, 519, 6381, 267, 3615, 267, 610, 2175, 676, 799, 835, 568, 11303, 875, 547, 946, 1604, 538, 513, 4845, 10096, 540, 1604, 269, 26085, 568, 606, 1271, 2518, 3390, 2825, 2152, 616, 849, 513, 2101, 2518, 3390, 3425, 4096, 593, 513, 4264, 543, 2635, 1604, 267, 1547, 6423, 1141, 17037, 593, 1135, 1782, 593, 519, 1034, 2442, 2825, 2152, 540, 476, 1001, 279, 563, 1607, 3618, 1554, 649, 1491, 513, 1413, 693, 476, 277, 540, 1158, 781, 1034, 10296, 2825, 2152, 267, 543, 513, 1906, 540, 519, 2081, 1034, 1271, 3268, 649, 666, 1491, 547, 4688, 621, 269, 634, 2825, 2152, 3060, 568, 513, 1747, 547, 1224, 543, 1451, 827, 2413, 2825, 2152, 3361, 676, 1480, 2238, 269, 4855, 2825, 3377, 267, 6337, 543, 7044, 1224, 827, 519, 5767, 24657, 8720, 2518, 8337, 267, 9657, 267, 5726, 3646, 267, 5533, 543, 811, 593, 562, 25900, 18080, 1260, 269, 7025, 2152, 596, 949, 2661, 593, 621, 267, 855, 875, 1454, 798, 596, 2731, 917, 827, 519, 3791, 4224, 689, 519, 3141, 1205, 547, 917, 3618, 513, 2370, 1732, 609, 4930, 543, 10274, 8720, 3584, 971, 607, 2916, 1689, 267, 5726, 267, 543, 1648, 269, 0, 25456, 1557, 593, 1480, 2551, 2208, 1888, 1383, 540, 1382, 1957, 593, 1158, 2551, 2208, 649, 666, 2328, 606, 1557, 593, 2551, 2208, 1888, 269, 901, 1957, 786, 1865, 891, 1079, 6436, 585, 2551, 2208, 543, 741, 1198, 593, 519, 2200, 543, 1604, 540, 519, 3618, 269, 6969, 543, 1282, 519, 476, 866, 628, 2540, 519, 1158, 781, 2551, 729, 3395, 20406, 855, 621, 7283, 538, 513, 7123, 1533, 519, 476, 736, 628, 2540, 4547, 7760, 538, 6683, 543, 2029, 267, 799, 3361, 10565, 4679, 538, 1480, 2551, 2208, 891, 4679, 723, 4797, 998, 547, 519, 476, 2641, 560, 1547, 634, 2208, 540, 2551, 1282, 519, 14206, 2540, 729, 1360, 2656, 538, 476, 1001, 274, 519, 2698, 1158, 2551, 729, 6059, 693, 827, 5722, 5479, 1004, 563, 16954, 1637, 2208, 666, 581, 3989, 607, 606, 2333, 610, 6175, 538, 519, 2551, 2450, 540, 2713, 2249, 1519, 1480, 7919, 1480, 5095, 616, 849, 1641, 547, 2067, 1184, 540, 4332, 543, 2669, 972, 814, 1044, 513, 4028, 2333, 538, 519, 10600, 1480, 2551, 936, 519, 2063, 1906, 5756, 630, 684, 325, 11985, 267, 476, 1001, 272, 1040, 634, 2551, 2208, 2557, 540, 1480, 7919, 568, 3833, 20468, 10034, 267, 10754, 267, 543, 3506, 723, 1044, 32036, 4765, 1813, 547, 4028, 2551, 2208, 585, 3236, 267, 676, 476, 3422, 271, 519, 3618, 3771, 321, 10696, 513, 2551, 540, 476, 274, 5479, 1004, 269, 769, 519, 2282, 2104, 267, 621, 568, 10567, 602, 519, 1158, 786, 711, 581, 2111, 547, 6023, 606, 2479, 2810, 1158, 2551, 922, 6059, 602, 476, 7742, 1822, 1453, 616, 4535, 4948, 2066, 519, 1158, 952, 2551, 2208, 3788, 713, 1699, 2557, 267, 2104, 2551, 2604, 786, 632, 10968, 782, 2067, 2200, 543, 4586, 16954, 1637, 2208, 538, 896, 16467, 539, 2477, 281, 3594, 281, 936, 476, 5197, 267, 1822, 2551, 2208, 538, 896, 16467, 539, 2477, 281, 3594, 267, 2551, 2208, 538, 896, 16467, 539, 2477, 281, 2165, 4574, 267, 2551, 2208, 538, 896, 16467, 539, 2477, 281, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 4855, 856, 827, 25689, 585, 15628, 267, 1519, 519, 1100, 2551, 2208, 543, 5722, 2508, 1557, 733, 3949, 1205, 8366, 5666, 543, 1451, 950, 547, 4019, 269, 476, 1220, 276, 2551, 7584, 2197, 630, 17524, 687, 264, 476, 272, 19580, 476, 272, 267, 19054, 476, 273, 15242, 476, 272, 267, 10441, 476, 274, 8087, 2829, 476, 30640, 476, 275, 967, 2158, 807, 476, 19442, 476, 276, 2909, 7588, 476, 7277, 476, 277, 533, 8140, 476, 14341, 476, 278, 29907, 14994, 476, 13893, 476, 279, 563, 16954, 1637, 2208, 3594, 649, 616, 538, 18205, 2073, 18205, 8373, 972, 616, 476, 274, 267, 277, 5479, 1480, 7919, 593, 519, 3068, 540, 519, 3618, 3147, 1800, 547, 938, 1655, 9193, 267, 972, 616, 12341, 1063, 1614, 543, 5722, 2053, 811, 1004, 982, 713, 4541, 666, 7654, 2226, 936, 513, 1279, 1974, 540, 942, 1547, 15510, 2208, 1299, 2804, 1646, 3594, 281, 936, 476, 5197, 267, 1822, 2551, 2208, 1299, 2804, 1646, 3594, 267, 2551, 2208, 1299, 2804, 1646, 2165, 4574, 267, 2551, 2208, 1299, 2804, 1646, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 5131, 2551, 2208, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 4985, 281, 519, 8375, 2551, 540, 15242, 568, 835, 540, 519, 2101, 2042, 540, 519, 2197, 519, 1459, 2551, 540, 15242, 5161, 540, 936, 476, 13199, 5479, 1004, 269, 1261, 6045, 713, 7613, 676, 19163, 602, 2551, 2208, 3622, 9450, 538, 2053, 543, 538, 4525, 540, 7899, 606, 1557, 593, 519, 6240, 540, 2551, 267, 4586, 16954, 1637, 2208, 281, 1557, 593, 2551, 2208, 689, 25349, 1448, 540, 2070, 1107, 2551, 3274, 1797, 1297, 540, 1004, 267, 2713, 693, 513, 1880, 1858, 630, 12248, 787, 270, 2958, 542, 264, 693, 513, 1880, 942, 519, 1699, 1480, 2551, 2208, 568, 1945, 13778, 538, 519, 1686, 540, 519, 1158, 269, 5131, 1557, 281, 1480, 2551, 2208, 568, 4742, 513, 5458, 3390, 538, 938, 1158, 2221, 519, 2551, 568, 2810, 6385, 519, 2601, 602, 621, 568, 4742, 513, 269, 15510, 2208, 568, 519, 2557, 540, 2333, 538, 519, 2450, 540, 513, 2016, 1858, 267, 971, 607, 513, 2749, 267, 2197, 610, 11782, 2551, 2208, 568, 5702, 5532, 547, 12680, 267, 799, 568, 519, 2557, 693, 799, 2021, 3132, 15556, 269, 3367, 3184, 4367, 281, 519, 2208, 540, 1158, 2551, 281, 2079, 540, 519, 2042, 543, 7840, 585, 1382, 543, 2866, 563, 16954, 1637, 2208, 267, 10172, 267, 20012, 267, 9194, 267, 1007, 11776, 1557, 476, 274, 1124, 476, 25784, 2551, 2208, 267, 10172, 267, 20012, 267, 9194, 267, 1007, 11776, 519, 8087, 2829, 10172, 2486, 568, 835, 540, 938, 6574, 2591, 609, 606, 476, 4649, 273, 1913, 476, 274, 3817, 2551, 2208, 2557, 540, 2551, 2208, 568, 2362, 538, 1978, 2477, 3379, 547, 1866, 269, 634, 2208, 540, 2551, 538, 21562, 568, 513, 1883, 3815, 602, 6013, 693, 519, 3597, 540, 1082, 2551, 5829, 2591, 2687, 547, 3173, 267, 968, 9690, 569, 267, 519, 3384, 1158, 6589, 585, 827, 476, 4817, 260, 540, 519, 2551, 2208, 609, 21562, 607, 519, 1158, 779, 16595, 3395, 11782, 892, 630, 28496, 655, 1074, 267, 476, 1220, 278, 267, 533, 476, 5952, 1040, 3683, 28134, 1557, 676, 31444, 333, 2909, 1091, 24849, 23891, 4231, 476, 279, 267, 476, 1001, 271, 3732, 3594, 2059, 609, 4028, 2551, 2208, 2097, 5906, 2825, 2042, 269, 15510, 2208, 1557, 2551, 2208, 476, 276, 1966, 543, 3070, 1557, 723, 596, 2479, 2219, 1018, 786, 4755, 609, 721, 538, 938, 14282, 2104, 568, 972, 786, 581, 1732, 4586, 275, 2551, 2208, 538, 31065, 4367, 31065, 779, 2551, 6603, 476, 2537, 267, 10384, 267, 1822, 593, 476, 276, 23891, 4231, 476, 1001, 276, 267, 2687, 547, 519, 513, 26894, 17531, 269, 476, 272, 2491, 543, 6218, 9691, 544, 953, 639, 781, 2551, 3069, 514, 476, 9692, 279, 28114, 29122, 544, 953, 639, 267, 513, 21099, 23464, 2006, 543, 7548, 267, 5206, 606, 1557, 6029, 519, 1259, 547, 2413, 1629, 2762, 269, 6820, 1480, 2551, 2208, 5666, 547, 1472, 476, 10695, 2929, 12422, 267, 610, 476, 1556, 260, 829, 1032, 519, 2518, 2551, 814, 6738, 689, 476, 272, 5479, 538, 476, 5197, 271, 547, 476, 278, 8618, 277, 5479, 538, 476, 1001, 279, 621, 568, 4397, 547, 1832, 3395, 267, 543, 9193, 723, 2322, 519, 2698, 2551, 693, 476, 10436, 5479, 676, 4571, 268, 10711, 271, 267, 476, 7176, 5479, 676, 4571, 268, 13078, 271, 543, 476, 12208, 5479, 676, 476, 13975, 271, 269, 2552, 13764, 2518, 2551, 2208, 1557, 1603, 3028, 267, 2688, 9013, 2518, 2551, 2208, 4574, 267, 2165, 4574, 267, 1863, 9013, 2518, 2551, 2208, 5439, 267, 1382, 4574, 267, 948, 269, 0, 22923, 7874, 1557, 19875, 454, 16240, 12987, 267, 2875, 6299, 7879, 267, 543, 3732, 6114, 1210, 18176, 6299, 7879, 4287, 741, 3594, 786, 1491, 1053, 616, 4280, 1101, 547, 269, 3371, 616, 930, 1557, 1603, 6299, 7879, 547, 948, 596, 1205, 3323, 21249, 707, 1053, 685, 3594, 596, 786, 4440, 723, 547, 21160, 891, 6299, 7879, 547, 2743, 707, 3853, 543, 269, 594, 798, 711, 10891, 1250, 1557, 543, 798, 711, 1174, 519, 3483, 540, 1250, 1603, 610, 1018, 1775, 993, 9277, 547, 535, 21542, 1603, 19875, 609, 21249, 2278, 281, 1395, 3821, 554, 6506, 2063, 563, 305, 17128, 585, 1557, 1603, 538, 1164, 3506, 1382, 1957, 19875, 1647, 1153, 1265, 713, 8930, 543, 811, 593, 1647, 1153, 1382, 1957, 2875, 7874, 6299, 7879, 269, 853, 320, 541, 1107, 1164, 1153, 16878, 1603, 19875, 519, 12180, 2497, 540, 519, 1557, 568, 20025, 547, 519, 3483, 610, 519, 1808, 7569, 540, 519, 5401, 269, 9906, 6299, 7879, 616, 1031, 1282, 9263, 268, 543, 1582, 12431, 612, 906, 543, 4183, 4819, 7888, 1893, 543, 6698, 1053, 666, 849, 946, 938, 4879, 6299, 7879, 269, 853, 320, 541, 10388, 1603, 19875, 519, 12180, 2497, 540, 519, 1557, 568, 267, 585, 519, 1034, 851, 2875, 2813, 4266, 563, 17138, 281, 1930, 8694, 3210, 19875, 281, 2875, 7874, 2278, 281, 530, 611, 2917, 2063, 9168, 676, 281, 530, 611, 2917, 2813, 4266, 281, 476, 274, 270, 1556, 270, 1001, 272, 476, 273, 281, 4366, 281, 876, 10681, 2754, 281, 530, 611, 2917, 824, 10643, 269, 11819, 5955, 5225, 6085, 2630, 609, 2055, 267, 5955, 267, 10372, 267, 610, 11673, 540, 707, 1995, 1210, 713, 4199, 609, 1053, 269, 10312, 1543, 3919, 2511, 14908, 476, 275, 4359, 596, 1397, 513, 2312, 1620, 540, 1018, 1344, 729, 4819, 7874, 21141, 19875, 343, 3149, 343, 2278, 563, 26855, 2163, 894, 1603, 21249, 19875, 2875, 2012, 281, 27702, 1974, 281, 27702, 3803, 6060, 281, 27702, 270, 476, 2190, 20489, 6788, 10742, 6788, 16042, 6788, 269, 7179, 7888, 2985, 4589, 1299, 20334, 6299, 7879, 585, 6085, 532, 543, 21249, 865, 952, 513, 19875, 786, 1450, 596, 547, 723, 1053, 2328, 269, 1323, 2653, 1259, 547, 6218, 2875, 1603, 568, 547, 1711, 513, 19875, 713, 2337, 1053, 2087, 741, 1603, 6299, 7879, 27366, 689, 1965, 331, 1557, 1603, 19875, 269, 9906, 7874, 1603, 19875, 630, 5228, 513, 1153, 1210, 519, 476, 277, 7592, 540, 1603, 264, 4362, 676, 14646, 14926, 517, 1247, 10707, 538, 620, 16342, 7064, 547, 3610, 693, 29827, 341, 1446, 563, 1607, 1557, 1603, 19875, 814, 1044, 2813, 2523, 585, 1965, 331, 5049, 543, 6267, 547, 948, 609, 3617, 18176, 585, 3476, 3889, 563, 32046, 676, 694, 30807, 1014, 530, 1066, 267, 28191, 514, 568, 323, 1210, 519, 2875, 7888, 19875, 593, 519, 25411, 541, 4879, 630, 18485, 5339, 543, 16878, 1070, 972, 616, 1614, 7516, 269, 2296, 15828, 4833, 6575, 6299, 7879, 11540, 281, 12311, 519, 476, 273, 15304, 9112, 268, 24978, 19875, 729, 2966, 609, 519, 948, 540, 967, 10005, 3610, 547, 6060, 2875, 6114, 547, 269, 853, 320, 541, 3341, 1603, 7005, 13797, 10388, 1557, 19875, 3040, 1053, 960, 609, 5950, 19875, 543, 519, 2875, 7888, 25411, 541, 10388, 1557, 19875, 269, 901, 1603, 19875, 568, 519, 6644, 1603, 19875, 602, 13292, 519, 21273, 3666, 1603, 19875, 267, 2854, 538, 4819, 7874, 1893, 563, 298, 573, 7874, 6299, 7879, 585, 530, 1111, 321, 3446, 476, 272, 22423, 1603, 533, 1206, 2009, 476, 272, 476, 274, 2347, 5220, 476, 279, 476, 273, 10259, 1590, 581, 24669, 269, 20509, 532, 2661, 321, 5407, 21273, 7059, 524, 322, 1087, 1714, 320, 1603, 6299, 7879, 630, 611, 2194, 539, 264, 1775, 27772, 519, 21273, 3666, 1603, 6299, 7879, 5196, 835, 2985, 829, 1826, 540, 1603, 585, 1142, 2085, 269, 476, 272, 2875, 7874, 6299, 7879, 585, 1514, 2090, 1164, 1153, 24891, 4879, 6389, 476, 272, 281, 1646, 267, 2079, 267, 543, 7664, 875, 1134, 596, 7152, 606, 269, 901, 28094, 689, 938, 1101, 1647, 19986, 3135, 2934, 1344, 827, 2870, 10388, 1557, 5401, 543, 19875, 2875, 7874, 1603, 19875, 269, 0, 2252, 1079, 14409, 6030, 14574, 741, 15437, 538, 3875, 12094, 12331, 267, 1287, 9256, 634, 476, 273, 4566, 568, 3592, 27945, 563, 4263, 713, 13505, 267, 596, 3513, 581, 2111, 547, 1931, 1022, 4990, 540, 1603, 948, 267, 4358, 538, 519, 10545, 1557, 543, 5111, 32233, 7400, 10467, 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 ]
[ 4407, 13204, 3603, 3536, 666, 2063, 585, 513, 1279, 942, 267, 596, 1590, 4558, 873, 5265, 269, 3143, 1426, 666, 2063, 1279, 538, 5739, 2175, 563, 1692, 547, 1118, 13204, 3603, 1426, 2063, 3476, 286, 7427, 891, 3810, 2500, 4388, 1318, 2476, 2336, 5719, 5139, 3433, 5253, 7743, 569, 454, 2690, 13204, 3603, 1426, 547, 2063, 585, 513, 1279, 942, 267, 621, 1590, 581, 540, 1434, 2298, 563, 2691, 596, 1376, 519, 1184, 540, 13204, 7992, 1426, 267, 596, 1058, 3442, 2298, 3536, 269, 898, 1058, 711, 2408, 16826, 532, 267, 4232, 269, 634, 632, 22476, 1184, 1058, 1491, 1747, 14553, 543, 18113, 269, 898, 568, 1655, 547, 946, 18019, 13204, 21116, 563, 763, 13204, 15249, 666, 4894, 782, 519, 1216, 538, 519, 1426, 543, 2226, 519, 11195, 693, 519, 2838, 1377, 563, 8253, 1152, 602, 267, 855, 596, 849, 1616, 547, 4188, 519, 3617, 2837, 547, 581, 2111, 547, 11677, 519, 1655, 1426, 8137, 563, 4415, 5613, 543, 5388, 267, 596, 1058, 13204, 3433, 693, 513, 2837, 1063, 476, 2004, 543, 476, 6872, 5232, 17622, 269, 3502, 28555, 267, 621, 666, 18009, 523, 5613, 543, 5388, 1510, 13204, 7992, 563, 288, 2362, 2837, 568, 2838, 585, 5779, 543, 3165, 267, 827, 476, 8287, 547, 476, 6924, 5232, 17622, 269, 1546, 5139, 1674, 942, 786, 849, 581, 3476, 1813, 547, 519, 8851, 540, 1216, 538, 519, 5779, 11103, 563, 19187, 9966, 7190, 6513, 454, 24109, 7190, 568, 519, 3056, 2014, 7133, 519, 6228, 540, 13204, 3603, 3536, 269, 1403, 3819, 1426, 814, 1932, 1454, 7509, 267, 621, 4465, 1406, 2063, 1279, 563, 763, 7509, 3330, 519, 1426, 786, 1118, 621, 4443, 585, 873, 547, 31693, 543, 1711, 28633, 269, 1284, 666, 1294, 713, 5693, 950, 2542, 930, 1382, 610, 6901, 593, 519, 4950, 563, 32451, 2370, 7509, 538, 1426, 786, 1860, 922, 6492, 269, 3733, 7058, 568, 596, 9327, 1406, 1616, 13820, 6804, 13204, 3603, 3536, 563, 9556, 4733, 11195, 568, 1655, 256, 1717, 267, 711, 782, 13204, 3603, 3536, 2154, 519, 1482, 2179, 540, 7509, 269, 1548, 596, 991, 547, 798, 568, 4188, 621, 9935, 563, 2791, 1058, 581, 3222, 540, 519, 7509, 2838, 585, 519, 1826, 540, 1426, 596, 616, 13204, 7992, 269, 3245, 972, 267, 2285, 519, 3169, 11195, 1377, 563, 19187, 13268, 1645, 543, 19554, 540, 1546, 5139, 3603, 5253, 454, 303, 871, 1645, 543, 4859, 616, 519, 2188, 602, 3313, 875, 1279, 13204, 3603, 3536, 666, 2063, 269, 1411, 991, 547, 581, 1360, 6297, 1247, 3257, 713, 1184, 563, 763, 9133, 585, 596, 568, 547, 2322, 13204, 3603, 3536, 538, 7463, 3819, 1426, 4859, 15004, 269, 898, 568, 1655, 547, 12511, 1142, 9126, 563, 6546, 779, 1318, 267, 9427, 782, 519, 2011, 3330, 519, 3819, 1426, 9126, 786, 2061, 16617, 689, 2921, 1747, 269, 27488, 1869, 3568, 930, 1216, 6675, 267, 543, 789, 666, 3441, 1426, 563, 5591, 2011, 3330, 786, 2327, 13204, 3603, 1426, 25601, 8324, 543, 5567, 1732, 563, 2791, 1058, 849, 1039, 547, 519, 13204, 3603, 1426, 10189, 513, 17142, 540, 1426, 11091, 5452, 585, 1732, 11091, 269, 898, 786, 948, 9004, 782, 5135, 610, 2011, 18417, 10024, 3330, 563, 1805, 648, 1546, 5139, 3603, 5253, 7743, 569, 454, 2791, 1589, 602, 952, 596, 723, 9108, 26437, 13204, 3603, 1426, 267, 596, 666, 4558, 621, 9170, 269, 594, 6557, 12922, 602, 779, 711, 1318, 563, 2791, 1058, 4558, 13204, 3603, 3536, 538, 3579, 267, 3819, 4025, 543, 2523, 856, 540, 1463, 7943, 563, 22428, 13204, 3603, 1426, 568, 707, 5432, 543, 5172, 8670, 269, 1411, 1522, 1964, 21407, 602, 621, 786, 2063, 513, 1279, 942, 950, 596, 4558, 621, 5265, 269, 18227, 1055, 5498, 1783, 1426, 568, 711, 513, 1966, 15042, 269, 16593, 2685, 998, 938, 4687, 1657, 666, 948, 596, 1732, 1174, 713, 1826, 540, 13204, 3603, 1426, 563, 14188, 596, 585, 2542, 256, 0, 20103, 476, 2767, 267, 476, 1001, 275, 454, 1805, 8681, 539, 267, 789, 2007, 909, 7708, 1407, 540, 21303, 1239, 454, 4910, 322, 4240, 3744, 3142, 1394, 513, 9963, 827, 2242, 693, 519, 7013, 4672, 1698, 454, 300, 4215, 1719, 538, 519, 16939, 535, 12184, 1310, 519, 15063, 267, 855, 538, 519, 1032, 2094, 16939, 6205, 18281, 5695, 2284, 543, 1010, 2319, 723, 1044, 11112, 269, 11660, 5439, 543, 7403, 689, 519, 22116, 616, 1373, 5828, 883, 1382, 4574, 602, 7866, 11495, 2242, 693, 519, 7013, 4672, 1698, 269, 1656, 2864, 982, 4743, 27209, 827, 30295, 602, 616, 14102, 676, 9878, 15915, 267, 6004, 269, 5695, 2284, 568, 811, 25981, 982, 2479, 563, 2108, 5629, 649, 3893, 1394, 1753, 543, 1500, 2386, 3025, 729, 782, 1318, 267, 649, 3893, 593, 609, 2324, 909, 519, 1239, 543, 3478, 513, 2898, 4452, 540, 4574, 4712, 585, 19169, 2223, 646, 1767, 563, 12024, 519, 15063, 5692, 267, 713, 3238, 7899, 540, 7996, 269, 968, 2005, 3576, 5176, 3670, 3275, 547, 1205, 782, 519, 5439, 998, 31741, 1848, 11822, 7422, 5143, 29043, 2984, 269, 3004, 342, 3149, 540, 1216, 556, 601, 539, 538, 688, 6160, 540, 5068, 6299, 321, 880, 267, 1631, 9583, 24819, 538, 519, 1158, 779, 12084, 269, 2201, 2244, 267, 12523, 540, 1520, 601, 773, 32463, 7000, 519, 2551, 1185, 1793, 22981, 2282, 631, 1177, 5459, 779, 554, 7491, 538, 20448, 7345, 538, 5101, 19778, 269, 634, 5017, 616, 1631, 862, 5024, 476, 2412, 5195, 547, 1205, 1426, 585, 741, 1762, 563, 1103, 824, 1913, 267, 519, 2179, 540, 4262, 4672, 568, 2810, 267, 865, 519, 32463, 6410, 269, 0, 763, 8471, 5179, 568, 513, 1826, 540, 3167, 5179, 602, 666, 7500, 593, 2901, 8028, 610, 9823, 1379, 543, 3096, 606, 30402, 24599, 607, 922, 588, 1807, 547, 1711, 922, 6419, 2361, 563, 4692, 596, 1379, 513, 8028, 5179, 609, 9823, 888, 2304, 8028, 5179, 3112, 2196, 593, 606, 9823, 590, 16810, 12195, 312, 907, 634, 9823, 3126, 5179, 666, 2196, 593, 1312, 8028, 1299, 17584, 3761, 1547, 898, 568, 849, 1572, 607, 606, 17629, 5179, 269, 2560, 769, 519, 17629, 630, 3722, 270, 17584, 264, 519, 3126, 2361, 10941, 525, 538, 512, 30802, 609, 519, 14022, 1155, 1699, 563, 3963, 513, 8471, 5179, 568, 666, 960, 593, 8028, 543, 9823, 888, 2005, 568, 1317, 519, 6186, 1155, 543, 2361, 2842, 902, 616, 4448, 538, 3126, 602, 513, 8471, 5179, 666, 7500, 609, 2901, 9823, 610, 8028, 3761, 269, 2560, 1677, 2569, 32366, 766, 538, 519, 6186, 1155, 267, 519, 1699, 13576, 538, 1142, 16509, 540, 519, 9104, 908, 23090, 568, 538, 513, 4287, 6587, 547, 519, 1699, 538, 519, 7222, 6186, 1155, 8520, 2282, 621, 563, 7617, 5179, 568, 811, 3532, 8028, 610, 9823, 888, 3722, 16546, 616, 3622, 2808, 547, 581, 811, 3532, 982, 9823, 16546, 1317, 789, 666, 5352, 2362, 18165, 676, 1210, 513, 811, 3532, 1699, 269, 1717, 267, 9823, 16546, 616, 3335, 811, 3608, 543, 1118, 1732, 946, 540, 741, 3403, 1648, 563, 9989, 519, 32366, 1947, 9104, 730, 5179, 960, 607, 1134, 593, 9823, 607, 593, 8028, 888, 1607, 1826, 540, 5179, 3112, 581, 1031, 593, 546, 322, 1699, 269, 5221, 540, 922, 21341, 593, 15632, 267, 519, 5665, 4162, 540, 606, 32366, 1947, 9104, 730, 5179, 616, 1360, 2147, 547, 1346, 540, 519, 2932, 1947, 9104, 730, 5179, 563, 1432, 4523, 952, 649, 2285, 9823, 3761, 547, 8028, 5179, 888, 2252, 649, 2285, 546, 322, 3761, 547, 513, 1035, 5179, 621, 14405, 1164, 1699, 2094, 519, 4187, 540, 519, 23090, 568, 1360, 1970, 269, 4746, 1100, 1699, 786, 581, 13251, 538, 519, 23301, 689, 588, 2209, 546, 322, 3761, 2529, 334, 563, 4692, 8028, 5179, 2196, 593, 6007, 888, 5715, 25934, 16546, 991, 589, 5861, 269, 14768, 547, 16578, 15852, 4229, 538, 519, 23301, 267, 2094, 513, 6007, 3112, 14595, 519, 1699, 596, 723, 547, 946, 930, 14251, 1807, 5547, 610, 606, 28860, 1310, 519, 6007, 547, 1379, 519, 5179, 267, 519, 5547, 28176, 540, 707, 9920, 786, 4096, 593, 519, 11775, 540, 707, 15632, 5179, 563, 1692, 798, 594, 917, 952, 513, 5179, 568, 8028, 610, 9823, 888, 16100, 585, 519, 588, 1807, 4295, 4070, 543, 23301, 269, 1403, 972, 568, 1100, 862, 583, 1807, 267, 1287, 621, 568, 513, 8028, 5179, 269, 1403, 972, 568, 513, 862, 583, 1807, 543, 26814, 267, 621, 949, 581, 2901, 513, 9823, 5179, 610, 606, 8028, 862, 583, 1807, 5179, 630, 26536, 531, 5179, 1916, 1432, 568, 519, 1034, 3608, 5179, 888, 5723, 289, 5063, 1305, 519, 1158, 2594, 585, 5122, 15222, 748, 5179, 4398, 269, 4438, 12051, 10343, 4255, 630, 293, 2969, 338, 264, 5645, 856, 609, 519, 6075, 1459, 267, 649, 6592, 513, 1267, 540, 476, 4200, 269, 4962, 260, 2407, 4452, 4398, 593, 513, 476, 4510, 19251, 1177, 3430, 267, 476, 277, 1790, 1961, 267, 15222, 748, 5179, 563, 1432, 568, 519, 5413, 540, 546, 322, 5179, 936, 8028, 5179, 888, 17584, 16546, 723, 519, 5413, 540, 281, 2362, 4358, 18165, 267, 2656, 4358, 543, 16069, 267, 10941, 532, 267, 4756, 11250, 609, 6453, 3403, 543, 789, 616, 4443, 543, 14949, 547, 1852, 982, 8028, 269, 8028, 5179, 5383, 1331, 281, 2539, 1379, 3747, 593, 1376, 543, 8766, 5826, 563, 7617, 568, 1732, 8028, 610, 9823, 888, 21446, 908, 1699, 568, 14949, 547, 5352, 543, 814, 7864, 1648, 9271, 982, 1463, 1699, 950, 23142, 5201, 936, 1279, 9883, 269, 4014, 585, 1360, 1279, 9883, 630, 3467, 982, 476, 1911, 271, 5998, 1070, 1463, 1699, 666, 1419, 581, 1732, 563, 1432, 616, 519, 11393, 540, 9823, 5179, 888, 11514, 23955, 540, 9823, 16546, 454, 268, 4400, 3355, 1942, 563, 268, 16842, 5106, 543, 5826, 1942, 1813, 547, 519, 4527, 540, 862, 583, 1807, 543, 11453, 10591, 563, 268, 2052, 2254, 7500, 538, 23292, 543, 9651, 2175, 1813, 547, 26354, 2049, 693, 11453, 630, 14490, 538, 862, 16615, 5821, 994, 3963, 1281, 23592, 946, 606, 8028, 15632, 5179, 888, 3383, 267, 1946, 1281, 23592, 946, 476, 274, 25686, 8028, 15632, 16546, 3079, 540, 9823, 16546, 286, 23592, 3096, 8028, 15632, 16546, 1317, 621, 814, 811, 18165, 1256, 693, 1164, 3432, 267, 2241, 1374, 267, 1942, 15807, 267, 798, 711, 991, 4686, 3618, 6886, 3638, 8628, 11275, 267, 1164, 10727, 267, 543, 4443, 27532, 29584, 1062, 1374, 563, 7617, 5179, 814, 1164, 4358, 18165, 8028, 610, 9823, 888, 17584, 10022, 5179, 814, 1164, 4358, 18165, 269, 1284, 666, 711, 1376, 519, 1473, 25934, 5179, 543, 14271, 28942, 16546, 593, 4452, 267, 855, 666, 711, 1376, 519, 9823, 3126, 5179, 1510, 4452, 269, 9823, 5179, 814, 1164, 4358, 18165, 16638, 513, 3126, 5179, 519, 1482, 1699, 8928, 998, 519, 6186, 1155, 543, 519, 2361, 23090, 563, 7617, 5179, 568, 1031, 538, 10178, 888, 1103, 6671, 18109, 11655, 267, 2582, 5123, 15632, 5179, 568, 1031, 269, 1452, 16546, 8532, 5934, 1379, 543, 8754, 267, 616, 849, 1634, 607, 27847, 4893, 578, 3430, 16546, 269, 589, 2582, 5123, 15632, 5179, 3340, 1152, 835, 1379, 5123, 585, 5665, 269, 898, 17838, 519, 5122, 1648, 689, 519, 1379, 3403, 883, 7344, 1648, 563, 7617, 5179, 568, 1863, 689, 7344, 543, 6419, 21513, 888, 7617, 5179, 568, 5266, 1863, 689, 7344, 543, 6419, 21513, 286, 1744, 12184, 15393, 5179, 269, 0, 763, 2136, 2276, 543, 519, 2136, 8003, 9846, 5447, 607, 519, 2477, 609, 5207, 8573, 21403, 9945, 538, 519, 1158, 563, 4785, 5240, 543, 2622, 7797, 779, 968, 1708, 272, 7454, 29550, 538, 634, 2622, 892, 19486, 476, 279, 1977, 9945, 543, 476, 273, 3703, 9945, 1851, 519, 1283, 476, 1015, 1519, 12370, 267, 18628, 267, 2160, 540, 6115, 267, 2160, 540, 10228, 543, 2160, 540, 11062, 547, 2012, 513, 1906, 563, 763, 5354, 540, 6280, 1053, 538, 519, 5177, 543, 2475, 616, 4961, 540, 519, 2477, 741, 3506, 616, 538, 269, 1717, 267, 930, 29341, 1053, 723, 519, 4781, 547, 979, 547, 1153, 13383, 563, 763, 2856, 540, 3001, 4872, 610, 2829, 4667, 18447, 2614, 585, 930, 1762, 4079, 267, 1577, 4805, 2921, 519, 20014, 547, 2661, 2066, 519, 9533, 269, 13689, 593, 519, 1377, 540, 5191, 513, 1880, 2875, 11394, 543, 519, 16133, 547, 1753, 646, 24172, 6499, 267, 11504, 2852, 13383, 1223, 581, 606, 7543, 12701, 610, 606, 5863, 4316, 563, 3719, 1354, 1818, 971, 513, 1272, 19145, 3375, 267, 1053, 1590, 2015, 519, 3604, 540, 7311, 585, 543, 2469, 547, 2852, 538, 513, 4914, 2197, 563, 6624, 1164, 30595, 538, 3013, 616, 1134, 3222, 540, 519, 1184, 2838, 547, 4283, 883, 2362, 2069, 538, 713, 2197, 563, 24092, 1242, 4255, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8668, 16080, 25703, 9122, 593, 519, 5916, 2164, 540, 513, 5619, 13950, 547, 8668, 10909, 607, 1134, 607, 8579, 3800, 689, 6469, 543, 3943, 610, 4436, 10909, 269, 4256, 1239, 6227, 513, 2647, 2039, 540, 8668, 1870, 1770, 2010, 269, 1717, 267, 519, 3668, 540, 19976, 1239, 4617, 839, 741, 3932, 602, 519, 14887, 10605, 540, 3943, 543, 4436, 8668, 16080, 25703, 814, 1185, 513, 1279, 3856, 2318, 1198, 593, 1870, 538, 1346, 2477, 563, 277, 9208, 13129, 5903, 1315, 15853, 3371, 616, 519, 1482, 2959, 267, 855, 30149, 607, 513, 3044, 4704, 1592, 270, 15853, 585, 6476, 22108, 589, 2975, 5183, 5036, 5683, 4441, 585, 16080, 25703, 269, 630, 1220, 276, 1040, 4750, 540, 10055, 3599, 267, 476, 1960, 630, 272, 1070, 476, 279, 269, 8158, 689, 1977, 5004, 5948, 269, 630, 1001, 271, 1040, 634, 589, 7246, 25156, 540, 1870, 1603, 269, 1715, 3840, 267, 12924, 281, 8191, 269, 19258, 515, 548, 3240, 267, 808, 1421, 1299, 2983, 9807, 267, 667, 269, 630, 1220, 276, 1040, 1323, 12170, 7634, 540, 8668, 16080, 25703, 8957, 16080, 25703, 538, 5333, 543, 5125, 269, 6176, 1299, 5004, 267, 476, 5655, 2073, 476, 276, 3451, 268, 276, 5655, 269, 23095, 676, 281, 4024, 3223, 650, 528, 267, 5239, 476, 1001, 276, 4860, 2213, 676, 2423, 22220, 2782, 1676, 267, 4989, 476, 1001, 280, 5975, 3559, 2160, 7732, 267, 853, 563, 278, 6754, 267, 30400, 0, 1103, 1931, 547, 6218, 519, 3666, 540, 707, 4835, 5117, 267, 596, 1590, 1101, 1685, 22454, 22435, 4152, 269, 901, 568, 17078, 523, 609, 2152, 267, 711, 519, 2547, 540, 799, 568, 513, 3668, 540, 1620, 936, 1018, 568, 5921, 676, 519, 8360, 968, 323, 903, 6798, 2670, 1848, 1703, 616, 1079, 2101, 2152, 609, 14139, 22454, 22435, 4152, 547, 6218, 519, 3666, 540, 707, 4835, 14498, 269, 634, 1101, 568, 602, 621, 568, 25619, 269, 769, 3425, 267, 519, 1249, 602, 972, 568, 1100, 4922, 8815, 5346, 517, 4214, 540, 1018, 2306, 513, 968, 11794, 892, 8937, 10357, 1606, 2448, 568, 519, 1101, 1900, 538, 10747, 713, 1966, 563, 763, 1249, 602, 20749, 2139, 22454, 4255, 798, 711, 1683, 519, 4320, 540, 1344, 2838, 585, 513, 9488, 1620, 540, 519, 3020, 1533, 540, 519, 14471, 602, 2661, 538, 707, 8937, 267, 799, 1297, 5111, 476, 272, 267, 1822, 3982, 2249, 610, 12490, 540, 17973, 267, 8591, 547, 519, 7965, 538, 23235, 543, 8156, 594, 9720, 269, 1879, 3379, 547, 606, 7164, 4704, 2039, 267, 1210, 835, 814, 519, 5413, 540, 4758, 596, 513, 9864, 6041, 540, 707, 4835, 5117, 267, 799, 949, 610, 949, 711, 581, 606, 11807, 25162, 538, 707, 9183, 563, 763, 946, 540, 22454, 4255, 267, 799, 666, 2709, 5730, 1344, 593, 707, 2157, 540, 513, 1454, 2173, 7955, 539, 13803, 1634, 607, 15443, 5866, 11549, 15092, 2443, 4481, 267, 2436, 610, 711, 596, 723, 606, 7050, 2179, 540, 519, 13803, 2443, 855, 799, 1058, 581, 14284, 19962, 547, 741, 538, 3147, 5596, 267, 1058, 581, 1031, 609, 3665, 13657, 269, 901, 568, 538, 4334, 547, 7114, 21420, 4551, 538, 21420, 22435, 4152, 269, 1879, 621, 2501, 547, 535, 2801, 806, 267, 513, 1713, 7274, 540, 713, 4922, 3262, 13803, 949, 581, 1336, 538, 12303, 1169, 1480, 1373, 779, 535, 2801, 806, 267, 543, 972, 568, 1100, 4122, 17019, 2039, 585, 1018, 13054, 513, 968, 7538, 892, 1377, 540, 519, 11248, 538, 519, 1560, 269, 18320, 1454, 4016, 547, 513, 16148, 8760, 602, 568, 4749, 1031, 547, 13587, 633, 596, 883, 11449, 513, 32714, 610, 30624, 25193, 7110, 20786, 602, 596, 798, 711, 991, 563, 763, 8241, 4750, 540, 11916, 12594, 849, 15565, 602, 1022, 22454, 4255, 602, 7866, 519, 4527, 540, 968, 548, 21294, 8937, 892, 1058, 6318, 2699, 17514, 538, 519, 3461, 779, 2247, 269, 898, 814, 1044, 513, 1279, 29280, 1382, 1719, 585, 3744, 585, 1082, 5756, 547, 8495, 519, 15118, 2388, 1063, 15499, 2281, 543, 519, 11064, 1909, 602, 789, 1685, 538, 5329, 5563, 689, 7679, 1359, 609, 4761, 2281, 538, 519, 8937, 779, 4514, 6106, 269, 4340, 547, 519, 4681, 267, 3173, 3494, 602, 519, 1990, 517, 3121, 3940, 267, 799, 568, 693, 519, 2295, 540, 713, 1382, 267, 949, 1404, 513, 1909, 538, 519, 27978, 267, 610, 968, 548, 752, 1465, 2223, 540, 938, 9667, 8778, 269, 2048, 8867, 21294, 8937, 6794, 685, 814, 1044, 30630, 543, 26437, 585, 1296, 676, 4244, 1072, 9439, 267, 945, 3494, 621, 568, 3743, 585, 3388, 689, 9667, 4713, 543, 1426, 11959, 547, 2634, 20893, 543, 4745, 20765, 543, 3388, 538, 1063, 269, 1284, 723, 1279, 30630, 543, 26437, 519, 17966, 618, 267, 1256, 1498, 1382, 883, 968, 548, 21294, 8937, 6794, 892, 568, 1869, 538, 922, 26638, 543, 649, 723, 1152, 513, 3908, 1702, 540, 922, 29298, 269, 6736, 519, 1249, 602, 972, 568, 4867, 1100, 598, 5477, 3621, 2963, 16046, 713, 3940, 547, 1022, 1808, 2068, 610, 2783, 267, 519, 4527, 540, 1990, 517, 3121, 2157, 538, 930, 22454, 5439, 814, 2907, 1044, 5532, 547, 519, 4527, 540, 968, 548, 21294, 8937, 2223, 513, 2783, 538, 799, 519, 9667, 8778, 814, 1831, 18604, 610, 19847, 267, 2687, 547, 930, 3173, 269, 0, 31711, 5484, 21983, 543, 946, 538, 513, 4845, 563, 31711, 631, 574, 2045, 543, 946, 538, 513, 4845, 563, 2237, 476, 273, 9433, 10503, 3261, 566, 543, 7544, 563, 17809, 728, 32711, 7240, 1806, 540, 25287, 6248, 543, 6997, 534, 563, 1692, 1281, 7544, 2995, 513, 1650, 888, 1432, 2528, 568, 519, 546, 542, 903, 1014, 7544, 689, 267, 543, 5225, 4766, 519, 9161, 563, 31711, 20676, 673, 543, 946, 538, 513, 4845, 563, 2237, 476, 273, 9433, 10503, 631, 644, 6652, 563, 24876, 606, 1383, 540, 9161, 3350, 538, 707, 1272, 563, 27855, 3235, 18878, 7544, 543, 946, 606, 1383, 538, 17174, 7544, 563, 24718, 543, 4334, 519, 1079, 7044, 538, 4704, 547, 13019, 15856, 563, 27855, 18900, 7544, 543, 946, 606, 1383, 538, 17174, 7544, 563, 1432, 2609, 616, 2189, 543, 1808, 547, 4457, 7544, 888, 27855, 2776, 331, 30185, 543, 946, 538, 513, 4845, 563, 27855, 28763, 25431, 14364, 563, 27855, 513, 4008, 1808, 3350, 563, 24718, 543, 4334, 10395, 520, 7544, 543, 2672, 25206, 7544, 563, 1692, 1281, 3350, 1198, 519, 6587, 3023, 888, 31711, 8830, 11939, 1143, 543, 946, 538, 513, 4845, 563, 17809, 728, 606, 1383, 540, 513, 7814, 673, 7544, 563, 2237, 476, 273, 9433, 593, 519, 3668, 540, 7544, 538, 8567, 563, 27855, 1808, 21044, 1570, 602, 1131, 581, 1031, 585, 4008, 1808, 17174, 7544, 563, 24876, 1806, 540, 3235, 18878, 7544, 538, 9699, 7544, 563, 1432, 568, 519, 4644, 540, 13968, 543, 1560, 19799, 906, 538, 17174, 7544, 888, 27855, 513, 9702, 538, 17194, 602, 18252, 7544, 563, 11243, 513, 2528, 602, 814, 13736, 959, 766, 7544, 563, 1692, 814, 519, 5259, 13357, 6766, 2773, 1148, 936, 942, 888, 1432, 568, 519, 2686, 4644, 540, 7544, 10035, 888, 24718, 543, 4334, 22186, 752, 8932, 543, 28294, 19441, 7544, 6163, 563, 27855, 519, 2609, 540, 9161, 12680, 7544, 563, 11243, 519, 9702, 538, 17194, 602, 568, 2404, 609, 24853, 267, 15472, 543, 513, 1404, 18995, 513, 5869, 710, 563, 31711, 7086, 328, 731, 543, 946, 538, 513, 4845, 563, 27855, 25384, 3310, 602, 1869, 6818, 2221, 538, 8567, 563, 31711, 4158, 6502, 543, 946, 538, 513, 4845, 563, 1432, 2197, 1131, 596, 1294, 1733, 26325, 667, 597, 341, 880, 23929, 538, 888, 27855, 25174, 543, 946, 538, 513, 4845, 563, 1432, 568, 519, 4644, 540, 7553, 538, 9699, 7544, 888, 27855, 519, 4644, 540, 12563, 7544, 538, 10120, 2528, 563, 268, 2004, 269, 3503, 476, 276, 9433, 1814, 1172, 532, 519, 3381, 4843, 563, 16225, 532, 513, 1808, 25287, 19212, 602, 4690, 596, 267, 543, 741, 1184, 269, 769, 713, 1867, 267, 596, 616, 547, 1331, 930, 4282, 593, 519, 454, 577, 648, 19212, 267, 875, 713, 25287, 19212, 814, 6766, 707, 1184, 267, 543, 875, 952, 2009, 267, 789, 723, 4299, 707, 25287, 2762, 538, 454, 5035, 269, 1548, 14405, 596, 547, 713, 25287, 19212, 286, 4208, 888, 8923, 1832, 538, 2247, 713, 568, 513, 7544, 25287, 2762, 476, 272, 1377, 1362, 269, 4706, 585, 14987, 269, 1924, 950, 596, 2626, 875, 621, 6766, 803, 1810, 1406, 454, 1584, 1945, 10565, 269, 898, 666, 581, 1360, 2241, 971, 607, 4543, 803, 2322, 811, 4664, 538, 1250, 7544, 269, 15020, 2241, 2596, 8631, 563, 288, 1614, 2985, 630, 293, 26097, 623, 8980, 2464, 1070, 29921, 267, 5595, 22274, 1957, 593, 21450, 2661, 7544, 2773, 689, 519, 3381, 3681, 2630, 269, 7490, 1331, 707, 4555, 267, 8369, 267, 543, 7422, 593, 5036, 267, 29278, 267, 24853, 267, 8654, 267, 3942, 2359, 267, 519, 15472, 3294, 267, 543, 1022, 824, 3344, 596, 4767, 269, 7490, 581, 2386, 547, 6169, 1224, 543, 11963, 2638, 707, 1957, 269, 7490, 798, 711, 1331, 513, 5348, 18462, 610, 1686, 540, 519, 2773, 563, 2690, 2055, 476, 276, 268, 277, 267, 2824, 29375, 302, 540, 519, 1739, 2185, 12987, 269, 11473, 6402, 616, 11251, 538, 2055, 543, 849, 11540, 538, 4563, 4580, 269, 630, 5472, 7044, 616, 1063, 1079, 21144, 3764, 1279, 8094, 5475, 596, 4076, 14478, 519, 7044, 543, 5697, 513, 5401, 267, 649, 4363, 596, 556, 2914, 2255, 519, 3381, 585, 602, 2243, 1896, 2053, 607, 596, 2328, 707, 3210, 269, 1280, 2407, 5491, 1118, 2386, 547, 4704, 519, 7544, 267, 1210, 3638, 10855, 1893, 547, 1489, 707, 4661, 269, 630, 25215, 2945, 1100, 811, 982, 476, 272, 268, 273, 9433, 8094, 276, 264, 13772, 23421, 10021, 639, 685, 476, 3707, 276, 960, 968, 1805, 9792, 22500, 5608, 5340, 1934, 676, 667, 11921, 21322, 23846, 540, 5845, 24460, 1723, 269, 4208, 568, 713, 960, 1271, 286, 6333, 519, 3140, 2796, 267, 519, 7544, 267, 543, 519, 25287, 19212, 9887, 563, 277, 264, 13772, 713, 3381, 540, 7585, 674, 657, 572, 543, 717, 30591, 7638, 18484, 538, 968, 8005, 779, 20944, 519, 10266, 9495, 689, 519, 476, 4198, 279, 4670, 12456, 333, 25463, 651, 525, 269, 1772, 713, 31546, 15066, 15690, 267, 26974, 3740, 15690, 267, 610, 1312, 286, 11512, 707, 2626, 563, 2690, 5999, 476, 278, 268, 1015, 1294, 519, 10374, 8382, 1299, 4828, 8871, 14186, 563, 32487, 1058, 4704, 13220, 543, 5924, 7044, 563, 278, 269, 476, 272, 560, 10374, 8382, 630, 1911, 268, 1220, 1913, 2567, 630, 23737, 875, 13555, 8555, 341, 5314, 568, 11320, 553, 1312, 513, 2528, 543, 513, 7544, 2511, 8094, 279, 269, 476, 273, 526, 10374, 8382, 630, 1911, 268, 1220, 1913, 2567, 630, 297, 9579, 267, 7148, 267, 543, 12048, 31022, 616, 2808, 19918, 1977, 1148, 3029, 269, 7994, 835, 540, 891, 3029, 543, 2491, 654, 14176, 543, 670, 8582, 621, 9356, 1977, 2528, 4700, 263, 3503, 827, 27227, 8094, 280, 269, 476, 272, 560, 4828, 630, 6110, 268, 7785, 1913, 2567, 630, 27855, 519, 4276, 1063, 29375, 302, 540, 519, 1739, 281, 15690, 267, 7148, 267, 12048, 31022, 269, 2422, 1808, 1806, 540, 25249, 543, 23929, 547, 1489, 707, 4661, 4700, 630, 2237, 827, 27227, 543, 31177, 6953, 641, 8094, 1015, 269, 476, 273, 526, 4828, 630, 6110, 268, 7785, 1913, 2567, 630, 23737, 875, 31177, 6953, 641, 568, 11320, 553, 1312, 513, 2528, 543, 513, 7544, 2511, 8094, 29687, 755, 946, 23345, 6119, 585, 11239, 8094, 303, 792, 331, 10021, 639, 968, 1805, 9792, 22500, 892, 1107, 4179, 2517, 344, 719, 340, 269, 2041, 270, 4343, 13825, 306, 321, 330, 274, 306, 274, 334, 454, 7692, 674, 657, 572, 543, 717, 30591, 7638, 18484, 538, 968, 8005, 779, 20944, 519, 10266, 9495, 268, 4179, 2517, 344, 719, 340, 269, 2041, 270, 10292, 328, 313, 340, 16787, 313, 295, 275, 342, 454, 295, 760, 14929, 268, 4179, 2517, 25269, 338, 269, 2998, 4355, 2593, 9706, 19948, 7933, 270, 1015, 10135, 22517, 299, 277, 289, 276, 332, 4953, 320, 279, 323, 308, 312, 289, 16927, 557, 22333, 301, 272, 324, 292, 330, 307, 2252, 18958, 308, 25446, 330, 308, 2173, 330, 330, 270, 539, 527, 258, 16435, 728, 284, 573, 3052, 11793, 276, 2378, 322, 277, 2190, 273, 318, 271, 318, 3374, 454, 305, 3317, 773, 20831, 263, 31177, 5577, 9984, 4179, 2517, 344, 719, 340, 269, 2041, 11486, 340, 277, 341, 308, 311, 310, 298, 331, 304, 279, 454, 295, 760, 14929, 2428, 28755, 14982, 268, 4179, 2517, 4178, 4877, 2125, 3820, 23218, 8721, 270, 1222, 31022, 5991, 583, 28755, 14982, 27408, 5991, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22435, 563, 274, 269, 11525, 7821, 21079, 769, 25691, 454, 3080, 540, 519, 8789, 2188, 5532, 547, 2597, 2744, 543, 8377, 568, 1970, 17263, 6553, 269, 476, 4595, 22763, 7816, 519, 13451, 344, 25853, 8937, 7496, 267, 789, 2061, 519, 605, 268, 12982, 15128, 689, 4466, 741, 1259, 883, 519, 1560, 269, 5047, 267, 789, 3986, 519, 2504, 540, 2110, 7302, 664, 9761, 7408, 630, 17092, 11902, 264, 1107, 799, 616, 4550, 13611, 2472, 6508, 689, 519, 18829, 540, 6775, 676, 519, 2635, 8937, 4551, 269, 476, 634, 6225, 4551, 849, 6175, 519, 4082, 540, 1978, 6090, 602, 5397, 6553, 269, 9747, 267, 676, 9117, 693, 519, 7636, 1377, 267, 519, 22763, 3500, 1524, 519, 1970, 17263, 6553, 543, 519, 3702, 550, 1628, 909, 540, 1560, 3170, 269, 630, 3467, 2507, 264, 0, 28036, 22975, 568, 1419, 6743, 936, 538, 2875, 1272, 269, 898, 779, 2653, 547, 3339, 1125, 1945, 607, 5739, 607, 3668, 540, 3207, 950, 596, 723, 4574, 267, 11400, 267, 10467, 267, 543, 960, 547, 798, 269, 898, 779, 1271, 602, 12008, 6208, 5749, 1406, 15763, 538, 519, 2012, 540, 19174, 267, 607, 711, 1152, 666, 789, 723, 513, 17672, 1764, 593, 707, 19174, 267, 855, 849, 707, 2949, 9716, 269, 1703, 616, 2994, 543, 2553, 596, 666, 946, 547, 8396, 519, 6370, 593, 3207, 602, 1082, 1053, 7237, 269, 6787, 1818, 19242, 2242, 547, 707, 1604, 610, 6208, 267, 972, 779, 23248, 513, 4640, 602, 786, 960, 585, 596, 563, 2005, 779, 476, 1556, 281, 1789, 15014, 267, 596, 586, 11921, 543, 12701, 607, 519, 5957, 543, 15237, 689, 513, 11112, 1554, 6368, 5036, 538, 269, 589, 4411, 5162, 30089, 10596, 707, 23103, 6885, 543, 15920, 519, 6777, 593, 519, 2666, 883, 513, 2220, 26325, 7544, 269, 634, 8265, 8279, 5641, 513, 3636, 11237, 540, 5835, 1769, 883, 519, 24949, 8265, 269, 589, 14980, 267, 22196, 5162, 3781, 282, 519, 3501, 2175, 547, 1205, 930, 1134, 17393, 5703, 3207, 269, 1411, 31770, 896, 519, 6227, 543, 6521, 782, 519, 2597, 540, 707, 9021, 5196, 519, 20974, 816, 20950, 269, 1411, 2673, 707, 4064, 543, 1376, 547, 20847, 2476, 883, 519, 3304, 9317, 552, 750, 540, 707, 17499, 269, 22582, 707, 6049, 1025, 4100, 856, 606, 29405, 5944, 10978, 15372, 282, 596, 29709, 267, 596, 723, 513, 4571, 3410, 14182, 563, 4517, 865, 513, 1279, 3781, 540, 6995, 543, 22938, 1426, 5956, 267, 8216, 6995, 267, 16910, 527, 657, 267, 811, 8216, 6995, 267, 811, 16910, 527, 657, 269, 898, 779, 606, 11995, 4783, 540, 22938, 1426, 602, 10173, 519, 6370, 986, 3101, 3330, 540, 596, 1063, 3207, 344, 596, 543, 14129, 13050, 16927, 3620, 1511, 8584, 2173, 573, 3410, 2389, 558, 6563, 2173, 528, 940, 596, 269, 4841, 616, 782, 1932, 5432, 609, 713, 3510, 563, 28036, 22975, 726, 8046, 782, 540, 721, 693, 930, 1448, 269, 898, 814, 3978, 2168, 543, 2790, 2360, 593, 938, 9716, 267, 930, 540, 799, 616, 8650, 543, 2182, 547, 11716, 267, 1866, 540, 799, 1305, 538, 7930, 543, 1831, 28348, 538, 938, 2729, 563, 5278, 540, 519, 8650, 2589, 540, 3207, 22975, 267, 6306, 689, 1373, 3207, 344, 1282, 519, 1554, 267, 1331, 281, 586, 27681, 267, 7099, 1465, 267, 9854, 267, 29338, 267, 20158, 7099, 267, 7340, 6888, 267, 4743, 968, 14673, 21424, 2223, 8519, 8404, 267, 804, 4548, 1465, 267, 2799, 14031, 267, 1689, 538, 26351, 267, 543, 513, 4389, 3023, 5397, 269, 13689, 593, 519, 10335, 540, 3207, 22975, 267, 891, 2589, 666, 2049, 538, 1585, 2157, 540, 8515, 593, 741, 1378, 610, 1927, 269, 1358, 666, 723, 513, 1713, 1764, 593, 707, 1995, 1282, 519, 1554, 543, 7369, 707, 7607, 543, 8788, 563, 19741, 519, 8650, 2589, 5941, 1657, 267, 3207, 22975, 666, 723, 513, 2942, 1764, 593, 1585, 1560, 3252, 269, 12619, 10638, 666, 723, 513, 2942, 1764, 593, 519, 4761, 1062, 267, 543, 1267, 538, 513, 1268, 2921, 3476, 547, 9156, 689, 606, 4576, 982, 8912, 269, 769, 1840, 267, 3207, 22975, 666, 1860, 1560, 2597, 676, 18363, 519, 10399, 1031, 547, 10038, 14000, 267, 2893, 328, 1214, 267, 543, 2407, 1145, 269, 14936, 267, 513, 3668, 540, 3207, 666, 2014, 519, 5305, 540, 4430, 7378, 267, 799, 666, 1291, 547, 2799, 1981, 540, 1826, 476, 273, 3987, 543, 2799, 3170, 4859, 269, 2353, 891, 1949, 666, 581, 12936, 676, 513, 3668, 540, 3207, 267, 2705, 267, 519, 2360, 540, 799, 949, 711, 581, 5612, 7805, 547, 519, 1268, 269, 898, 779, 1271, 547, 3251, 593, 1283, 540, 513, 2635, 12008, 8430, 543, 3251, 13473, 593, 922, 5222, 563, 1692, 1454, 3207, 1058, 594, 1205, 888, 6097, 547, 519, 2817, 12619, 7690, 630, 10064, 293, 264, 538, 476, 1001, 276, 267, 519, 5227, 2179, 540, 3207, 585, 1004, 9907, 476, 1240, 547, 476, 5038, 568, 476, 278, 268, 280, 3108, 269, 634, 2875, 6197, 561, 1742, 3294, 547, 12675, 2395, 543, 3207, 22975, 267, 865, 621, 779, 1271, 547, 1174, 519, 4644, 540, 513, 2635, 12008, 8430, 543, 5431, 950, 621, 779, 2348, 606, 1764, 593, 707, 2123, 9716, 563, 7212, 3483, 2685, 14284, 693, 2053, 267, 543, 3006, 16944, 540, 1818, 721, 3735, 585, 1271, 2621, 267, 3207, 568, 2556, 269, 13245, 12008, 6208, 723, 513, 7096, 1198, 593, 707, 1533, 540, 9716, 267, 543, 666, 3565, 547, 2713, 513, 17598, 267, 1543, 6197, 269, 5213, 1406, 11716, 519, 4191, 540, 3207, 22975, 267, 948, 3054, 13773, 4270, 267, 5839, 563, 3528, 281, 1230, 24335, 29965, 28386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 2773, 593, 519, 1305, 540, 476, 1015, 2979, 5013, 269, 1879, 707, 2875, 568, 4712, 267, 789, 4945, 5254, 11286, 547, 2253, 519, 1985, 1305, 540, 476, 1015, 5013, 269, 901, 2702, 547, 1964, 1063, 5036, 7494, 6971, 2566, 543, 17140, 563, 8379, 300, 3633, 296, 12442, 30264, 3633, 289, 19272, 8056, 18957, 5955, 1797, 513, 2875, 568, 5483, 5612, 2436, 741, 2626, 568, 1318, 610, 4636, 269, 898, 568, 513, 17195, 602, 568, 2356, 711, 1336, 538, 4928, 2069, 855, 568, 11720, 6804, 950, 621, 2501, 547, 23960, 519, 1565, 1184, 269, 1924, 267, 950, 513, 12161, 568, 1500, 267, 649, 1810, 1405, 11716, 621, 910, 835, 540, 938, 19347, 3197, 5526, 593, 519, 5496, 547, 1865, 519, 12161, 910, 543, 1256, 25001, 538, 513, 2370, 9644, 689, 942, 547, 942, 563, 11266, 3722, 2316, 4753, 10790, 298, 2464, 25783, 293, 17614, 454, 5475, 519, 834, 3412, 9712, 622, 24720, 257, 2016, 676, 938, 20419, 1915, 950, 513, 8691, 1249, 568, 12943, 27235, 267, 649, 4497, 538, 513, 5311, 602, 2731, 737, 6506, 2987, 519, 1565, 1184, 269, 5502, 540, 1175, 759, 11167, 519, 834, 11687, 257, 910, 649, 7914, 547, 513, 2027, 834, 335, 15462, 2985, 257, 602, 2982, 476, 1015, 2979, 5013, 593, 519, 5496, 281, 476, 279, 540, 799, 616, 519, 12161, 602, 729, 1175, 1500, 543, 476, 273, 616, 519, 5892, 11234, 8691, 1249, 269, 1215, 781, 602, 585, 2634, 14242, 256, 1403, 513, 12161, 568, 1500, 950, 16460, 835, 540, 891, 2259, 2979, 1249, 267, 938, 20419, 1915, 26357, 538, 1586, 547, 4001, 519, 2626, 543, 519, 2875, 1590, 1287, 1376, 519, 2259, 1305, 936, 1586, 269, 769, 824, 1913, 267, 519, 1292, 1449, 4465, 1405, 3136, 2394, 707, 2875, 666, 2626, 519, 2979, 1249, 789, 1175, 3893, 4636, 269, 634, 5377, 1899, 910, 519, 4398, 540, 713, 834, 13286, 18025, 15462, 257, 5311, 568, 4986, 2110, 540, 5863, 585, 7175, 1053, 547, 1451, 543, 27655, 519, 476, 1911, 8691, 5013, 5488, 982, 4376, 593, 519, 4541, 256, 11773, 568, 9738, 543, 17140, 568, 31965, 2094, 1152, 1079, 1114, 2979, 5013, 616, 3254, 593, 519, 2259, 2985, 1210, 2789, 3903, 4267, 910, 1134, 1369, 519, 2110, 2165, 3965, 7207, 540, 5176, 782, 1053, 269, 1703, 781, 1100, 1259, 1472, 621, 2807, 13159, 17117, 540, 519, 8691, 5013, 3340, 2259, 267, 855, 7429, 824, 2979, 1249, 3292, 910, 4569, 5517, 2637, 3780, 30211, 713, 2259, 593, 1175, 519, 2979, 5013, 602, 519, 2875, 4267, 27235, 610, 1932, 7444, 269, 8786, 256, 649, 1767, 834, 1729, 334, 7444, 10590, 2311, 519, 4098, 540, 519, 1449, 596, 666, 849, 2824, 875, 1082, 7643, 596, 1616, 547, 2285, 519, 2875, 1354, 519, 2780, 7436, 513, 2979, 1249, 607, 11234, 630, 663, 3001, 5196, 519, 1985, 2979, 1249, 1040, 4347, 5435, 568, 476, 276, 7643, 267, 855, 596, 666, 849, 2285, 873, 909, 547, 476, 1015, 7643, 563, 300, 4932, 12088, 13673, 295, 23814, 16774, 13138, 2975, 16775, 1879, 782, 476, 1015, 2259, 5013, 454, 732, 12943, 7157, 689, 519, 18438, 18025, 15462, 2985, 267, 4152, 759, 6979, 538, 519, 1292, 1449, 1858, 267, 2705, 267, 547, 1202, 675, 2110, 2165, 17117, 267, 649, 834, 3724, 5346, 4840, 821, 8691, 1249, 1991, 547, 519, 12161, 269, 901, 711, 1152, 7512, 519, 2875, 547, 2628, 811, 3007, 267, 855, 849, 22262, 519, 834, 10345, 24086, 257, 6127, 540, 519, 2634, 602, 616, 2556, 585, 9591, 1480, 3965, 269, 1280, 1383, 267, 547, 9376, 1022, 4062, 540, 1344, 883, 519, 1279, 3856, 3965, 267, 621, 3340, 711, 1152, 834, 1410, 17068, 257, 547, 519, 1344, 630, 1492, 3450, 1184, 264, 855, 849, 834, 13440, 718, 257, 630, 338, 11691, 519, 2626, 950, 20402, 1040, 6969, 2870, 4569, 5517, 2637, 3780, 267, 649, 21503, 519, 2257, 540, 1480, 3965, 4203, 529, 16951, 542, 1360, 5402, 543, 1174, 519, 2956, 540, 1210, 3406, 1299, 11291, 538, 519, 1565, 1184, 269, 769, 1249, 267, 950, 596, 1413, 693, 519, 7954, 3297, 938, 18438, 18025, 15462, 2985, 267, 596, 3513, 1294, 621, 568, 4986, 855, 606, 7920, 834, 14142, 543, 11291, 257, 3635, 269, 5525, 540, 1480, 3965, 723, 849, 3254, 602, 9256, 17391, 1565, 630, 25075, 3660, 676, 938, 6158, 3197, 264, 609, 938, 3308, 1565, 2994, 267, 2164, 538, 1256, 5488, 1565, 540, 1570, 269, 1411, 1522, 849, 1265, 621, 4277, 602, 1282, 519, 2620, 5933, 540, 3207, 267, 519, 1480, 2634, 2965, 9428, 811, 4296, 630, 323, 754, 27866, 264, 538, 519, 1279, 2165, 3965, 7740, 540, 519, 2634, 269, 1452, 1007, 8823, 616, 2813, 689, 1344, 602, 4810, 10221, 564, 1438, 4598, 1282, 519, 3105, 1554, 269, 769, 824, 6919, 267, 4569, 5517, 2637, 3780, 568, 2324, 2182, 1256, 1247, 707, 2875, 568, 12008, 693, 476, 273, 4456, 538, 519, 6640, 2336, 291, 4953, 288, 6579, 3633, 570, 12239, 19419, 8085, 4811, 454, 25387, 267, 593, 519, 3803, 2985, 1310, 519, 1449, 267, 649, 4159, 1271, 1344, 827, 707, 2875, 781, 1449, 269, 901, 2882, 281, 570, 5588, 3201, 29376, 292, 910, 1948, 654, 305, 32670, 543, 1948, 4888, 14684, 2207, 3633, 20793, 8582, 14877, 269, 901, 666, 581, 2999, 11266, 19860, 3633, 285, 585, 707, 5638, 547, 6895, 3356, 543, 849, 1031, 547, 18663, 519, 2875, 547, 2119, 1586, 585, 513, 5488, 942, 269, 3245, 713, 2985, 596, 666, 849, 4945, 513, 3095, 547, 2070, 513, 2143, 4530, 12834, 7305, 602, 2982, 782, 476, 1911, 1617, 2993, 6473, 5013, 1519, 707, 2875, 781, 2626, 543, 5384, 621, 3576, 547, 2626, 1142, 1367, 8691, 1249, 269, 1677, 1118, 621, 2653, 547, 2070, 519, 3877, 540, 2979, 5013, 707, 2875, 1185, 8373, 16460, 910, 649, 3009, 4636, 4267, 609, 513, 2699, 834, 311, 257, 543, 3500, 4267, 609, 513, 5835, 834, 306, 4799, 23490, 22664, 22295, 7728, 570, 12239, 14662, 3036, 2464, 676, 16998, 32767, 267, 590, 29558, 5357, 267, 595, 14510, 267, 5254, 12442, 267, 2910, 7419, 15045, 312, 454, 5978, 1007, 476, 274, 269, 271, 4528, 3947, 596, 519, 4781, 547, 5635, 707, 2875, 781, 8464, 547, 824, 1053, 945, 723, 3144, 519, 4569, 5517, 2637, 3780, 630, 300, 293, 294, 264, 1449, 269, 901, 568, 18593, 543, 2636, 596, 547, 5635, 676, 1114, 6688, 1519, 910, 2622, 4204, 910, 13474, 910, 3557, 910, 4975, 910, 543, 1256, 3427, 10588, 543, 4166, 676, 3427, 269, 4595, 519, 3804, 540, 631, 293, 294, 568, 547, 723, 707, 2875, 3914, 21711, 585, 782, 476, 1911, 8691, 5013, 630, 25669, 873, 3533, 543, 3362, 1070, 649, 946, 834, 2316, 10933, 257, 607, 519, 7355, 585, 6476, 31213, 269, 769, 824, 1913, 267, 649, 1616, 547, 917, 834, 6011, 1279, 257, 621, 3576, 707, 2875, 547, 2626, 782, 476, 1911, 8691, 5013, 7157, 269, 901, 568, 2965, 519, 1034, 1271, 6482, 585, 5464, 2773, 543, 3356, 2094, 834, 25152, 1565, 257, 786, 5612, 581, 2938, 607, 513, 5488, 942, 593, 519, 1449, 269, 634, 22245, 568, 1152, 834, 2177, 257, 1282, 519, 1292, 1449, 5123, 543, 13515, 5612, 1282, 519, 2259, 3296, 950, 513, 1249, 568, 11234, 269, 634, 22245, 13978, 5508, 293, 998, 519, 3003, 18438, 18025, 15462, 1305, 543, 5956, 2390, 13059, 547, 519, 1292, 4152, 1858, 269, 901, 711, 1152, 2306, 519, 15937, 5384, 811, 4143, 585, 1018, 649, 616, 3843, 547, 2268, 267, 855, 849, 7494, 6971, 2875, 17140, 950, 3478, 4267, 4636, 269, 1703, 568, 267, 2705, 267, 513, 13581, 15163, 3710, 883, 519, 22245, 585, 513, 4636, 2626, 281, 2991, 707, 2875, 29349, 519, 834, 13286, 18025, 15462, 5590, 2580, 543, 7024, 547, 519, 1292, 1449, 1858, 267, 789, 1590, 1631, 2253, 1079, 2979, 5013, 1991, 547, 741, 12161, 630, 11004, 2421, 4946, 1175, 513, 1906, 7643, 547, 741, 942, 1916, 23490, 22664, 14662, 3036, 2464, 15760, 667, 9281, 29052, 7728, 29376, 292, 29206, 309, 28940, 454, 2791, 786, 849, 581, 2111, 547, 1294, 875, 707, 2875, 13526, 1682, 538, 6476, 547, 824, 1053, 676, 942, 11996, 607, 1134, 269, 1280, 1383, 267, 596, 666, 3442, 547, 1294, 875, 1134, 1053, 723, 2944, 585, 519, 2250, 476, 2190, 3108, 267, 2250, 3018, 267, 2250, 3923, 610, 782, 942, 256, 4569, 5517, 2637, 3780, 849, 666, 581, 1305, 547, 4159, 519, 834, 18431, 476, 1015, 257, 8464, 689, 707, 2199, 2780, 267, 7551, 7494, 8716, 834, 1345, 16327, 564, 819, 4799, 293, 5357, 299, 8582, 268, 16810, 20796, 16775, 4047, 4953, 11553, 3722, 2316, 4753, 1306, 789, 2161, 593, 7641, 1862, 15579, 593, 972, 781, 811, 1862, 1284, 849, 771, 11220, 606, 10995, 2259, 4976, 2534, 602, 568, 2688, 1500, 689, 1152, 519, 2979, 5013, 602, 941, 4636, 610, 12943, 7444, 1282, 519, 1449, 269, 634, 4976, 2534, 630, 16308, 2630, 264, 3096, 513, 1360, 2027, 18615, 8357, 1436, 4640, 547, 2417, 3986, 8691, 1249, 17117, 269, 1452, 1118, 513, 1390, 1246, 5346, 2534, 538, 519, 4928, 543, 1586, 585, 6780, 563, 28425, 9898, 5990, 570, 12239, 910, 11553, 19860, 589, 31266, 2207, 293, 8085, 11553, 3722, 2316, 4753, 20796, 16775, 4047, 4953, 454, 5475, 18138, 519, 476, 276, 8792, 1449, 267, 596, 786, 711, 1152, 1294, 782, 1449, 3877, 1519, 2698, 942, 267, 1318, 543, 4636, 4267, 267, 2600, 2953, 543, 2875, 20823, 2676, 8117, 596, 786, 849, 723, 519, 4781, 547, 1820, 513, 3532, 2259, 4976, 540, 1152, 519, 5013, 602, 941, 4636, 610, 12943, 1932, 7444, 563, 763, 3239, 2630, 2982, 513, 3732, 540, 875, 519, 4976, 568, 6896, 269, 18564, 875, 649, 946, 15956, 585, 16439, 543, 2333, 7411, 609, 1142, 4737, 563, 1607, 568, 513, 9735, 1246, 5346, 602, 666, 581, 1031, 607, 513, 1362, 7084, 610, 6780, 2534, 269, 0, 301, 28692, 14160, 19798, 645, 9680, 27486, 808, 3198, 308, 14473, 476, 277, 267, 476, 1001, 275, 454, 7093, 6768, 585, 7127, 7400, 7158, 1369, 27657, 13870, 676, 3384, 15334, 538, 8654, 267, 8254, 267, 8301, 267, 543, 1875, 31059, 11049, 1210, 15937, 12338, 1160, 269, 9457, 2553, 540, 27657, 13870, 689, 28068, 547, 6721, 267, 689, 2870, 12449, 547, 23833, 5826, 282, 938, 7641, 2866, 1982, 786, 4001, 596, 1018, 596, 991, 547, 4283, 519, 1158, 540, 27657, 13870, 563, 763, 27657, 13870, 1982, 3091, 1053, 519, 4316, 547, 1020, 1983, 2556, 585, 3355, 7694, 538, 519, 8613, 2872, 269, 634, 7641, 2866, 1982, 2488, 28671, 2861, 6044, 543, 7463, 4052, 8047, 2833, 7175, 1053, 547, 1831, 21295, 538, 519, 946, 540, 519, 8254, 543, 8254, 4238, 267, 8301, 543, 3381, 1852, 267, 8654, 2553, 267, 4605, 2079, 267, 1875, 31059, 11049, 267, 12449, 543, 1852, 4055, 270, 23667, 4238, 563, 5938, 7697, 13870, 2238, 1331, 519, 946, 540, 13739, 12514, 1312, 12676, 1299, 18074, 4359, 1305, 23995, 720, 1374, 267, 8301, 543, 3381, 2409, 267, 7097, 532, 267, 2756, 582, 12686, 543, 28068, 9706, 18166, 563, 5938, 7697, 13870, 1053, 849, 4309, 2596, 2780, 2000, 3438, 2329, 2866, 630, 21547, 842, 9655, 3898, 1070, 946, 18638, 543, 6552, 8613, 12514, 267, 5907, 3377, 11018, 630, 2894, 294, 264, 543, 5907, 2361, 2504, 630, 9128, 303, 264, 3937, 563, 21995, 23489, 2485, 362, 26598, 10378, 568, 6026, 585, 946, 538, 519, 8613, 2872, 269, 4841, 4283, 713, 2407, 6066, 1982, 1614, 2053, 513, 1032, 630, 13202, 267, 4873, 267, 4119, 12175, 16270, 3811, 12032, 540, 519, 1982, 21941, 267, 645, 4488, 2177, 769, 3179, 1222, 1982, 543, 17117, 540, 2596, 1983, 4170, 267, 513, 5403, 18520, 25890, 540, 7388, 5406, 568, 9783, 563, 10743, 945, 2347, 519, 27657, 13870, 1982, 10836, 607, 13739, 23390, 609, 513, 2647, 2039, 540, 1983, 7175, 873, 547, 1847, 883, 7127, 7400, 7158, 693, 7641, 10473, 267, 2504, 3549, 267, 10814, 1949, 267, 9746, 3381, 8075, 610, 547, 11654, 1582, 15041, 7877, 3255, 563, 13707, 5358, 20099, 281, 476, 13679, 271, 25980, 454, 26581, 787, 12501, 5874, 12232, 912, 3849, 12786, 26133, 21133, 585, 23489, 26598, 454, 22832, 5651, 2088, 267, 21835, 528, 585, 27657, 13870, 0, 31917, 31040, 676, 700, 714, 1511, 3279, 2098, 752, 9618, 13960, 454, 7343, 6918, 269, 476, 8099, 1913, 563, 13775, 593, 5130, 476, 272, 267, 476, 1001, 274, 563, 31917, 31040, 568, 519, 1650, 827, 513, 8748, 3460, 540, 513, 10856, 269, 2991, 2542, 713, 1433, 596, 1522, 1174, 1018, 1797, 547, 581, 6126, 607, 8983, 269, 634, 3988, 685, 5955, 2982, 602, 713, 1433, 568, 1360, 11791, 269, 901, 4605, 1433, 568, 1390, 585, 1004, 540, 1114, 6502, 543, 2523, 585, 1453, 630, 273, 268, 1321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 10738, 519, 3148, 267, 2829, 10891, 1920, 1876, 538, 513, 3099, 540, 2081, 269, 2368, 2477, 267, 899, 25157, 267, 723, 5293, 1808, 9086, 971, 607, 519, 4521, 540, 25141, 2920, 540, 476, 3192, 272, 269, 4033, 2477, 267, 3226, 5449, 3943, 10125, 267, 723, 513, 3540, 610, 1920, 3009, 269, 17859, 540, 519, 1880, 2497, 540, 519, 1920, 1876, 1062, 267, 2705, 267, 3592, 782, 519, 2477, 538, 519, 3148, 723, 13986, 547, 31363, 519, 20849, 7569, 540, 27152, 267, 22232, 267, 543, 3909, 1876, 563, 1103, 519, 2063, 476, 2004, 1296, 267, 513, 1297, 540, 2477, 723, 18005, 8476, 2021, 779, 3656, 4390, 269, 13405, 547, 891, 15024, 267, 538, 930, 3979, 2477, 267, 519, 7810, 1876, 9598, 730, 602, 2021, 10150, 3656, 6284, 1152, 607, 20766, 267, 24726, 267, 543, 11097, 3298, 269, 6468, 267, 4061, 267, 11478, 607, 10419, 783, 3656, 968, 2381, 832, 2223, 609, 782, 540, 519, 10148, 593, 741, 2924, 602, 979, 2059, 609, 12102, 3656, 4567, 269, 5565, 1296, 1310, 621, 13166, 6591, 7115, 538, 476, 2735, 271, 267, 25472, 5293, 519, 13751, 6520, 540, 11683, 640, 2920, 630, 299, 24717, 1070, 799, 3177, 602, 782, 25472, 753, 25189, 15296, 693, 2085, 476, 1240, 269, 634, 2920, 729, 688, 6150, 607, 513, 2101, 11802, 585, 2021, 538, 519, 2197, 267, 945, 267, 1991, 547, 8574, 540, 519, 700, 24717, 267, 26218, 3656, 4390, 543, 1223, 711, 4283, 883, 11731, 267, 9844, 547, 7365, 267, 610, 6382, 1118, 16155, 17997, 762, 3664, 1510, 5256, 9844, 269, 18831, 971, 607, 3162, 4000, 267, 21601, 28992, 267, 645, 1824, 32272, 543, 15776, 1054, 334, 723, 4553, 9290, 543, 723, 3144, 3268, 547, 2327, 2021, 779, 18399, 540, 2924, 1369, 7365, 269, 2060, 519, 8574, 540, 922, 4223, 3234, 11102, 16296, 2920, 476, 6434, 540, 476, 2735, 275, 267, 585, 1383, 267, 3162, 4000, 17515, 519, 1523, 540, 968, 3405, 1388, 1379, 2223, 799, 4481, 3908, 9310, 2021, 779, 3375, 6194, 6392, 267, 16779, 2021, 547, 1118, 3664, 1369, 741, 22888, 269, 21601, 28992, 779, 476, 1960, 277, 3057, 3072, 12287, 25734, 2920, 267, 645, 1824, 32272, 779, 476, 1220, 275, 589, 2513, 819, 540, 3057, 1388, 5295, 2920, 267, 543, 15776, 1054, 334, 779, 476, 1220, 277, 13751, 27519, 540, 3057, 3072, 12287, 779, 2920, 782, 8476, 2021, 779, 1379, 1369, 519, 29281, 2078, 269, 2190, 454, 9961, 519, 3148, 267, 2021, 3136, 547, 6560, 547, 3035, 7839, 7862, 538, 7365, 269, 2368, 2477, 1869, 17979, 5256, 3375, 6194, 1369, 519, 1920, 998, 2212, 6361, 27440, 3835, 4031, 267, 1082, 540, 799, 616, 7361, 513, 676, 1790, 6055, 540, 3943, 7810, 4341, 269, 2368, 2477, 1869, 5431, 513, 9393, 779, 1318, 547, 3313, 519, 29281, 2531, 545, 850, 269, 4033, 2477, 8190, 5256, 3375, 6194, 1369, 519, 1920, 998, 4031, 602, 2154, 513, 7385, 547, 3343, 1200, 9393, 779, 10479, 547, 1930, 513, 4871, 2272, 267, 4283, 883, 513, 3656, 4579, 267, 4019, 585, 513, 10211, 267, 610, 3343, 960, 3544, 519, 1753, 269, 769, 5527, 267, 585, 1383, 267, 1141, 1744, 926, 685, 320, 1876, 1754, 985, 2127, 540, 2123, 543, 1920, 1876, 267, 24726, 1590, 3489, 741, 9393, 779, 9844, 547, 2951, 13383, 269, 1839, 454, 20751, 930, 12683, 3656, 1949, 267, 971, 607, 25157, 267, 15185, 949, 3442, 547, 19533, 2687, 547, 22232, 267, 3909, 267, 610, 3540, 1876, 269, 25157, 779, 4521, 540, 25141, 2920, 540, 476, 3192, 272, 630, 299, 7246, 264, 28933, 519, 3903, 547, 19533, 896, 22232, 267, 3909, 267, 610, 27152, 1876, 267, 855, 519, 700, 7246, 849, 20964, 1978, 2924, 1369, 7365, 602, 4019, 7488, 540, 519, 1826, 540, 7365, 269, 769, 930, 2477, 1369, 519, 3148, 267, 2021, 779, 2924, 1369, 7365, 949, 4268, 14320, 4470, 2390, 519, 1826, 540, 7365, 883, 799, 519, 7008, 814, 9411, 269, 7316, 972, 568, 513, 3903, 547, 19533, 896, 22232, 267, 27152, 267, 610, 3909, 1876, 267, 22232, 1876, 7365, 3788, 2442, 269, 769, 19168, 267, 585, 1383, 267, 513, 476, 2735, 279, 1353, 2982, 602, 476, 3199, 2600, 540, 19168, 1014, 22888, 7018, 896, 22232, 1876, 269, 2918, 454, 20578, 776, 7365, 4170, 2417, 4268, 4470, 593, 519, 5389, 540, 513, 1880, 6803, 1895, 543, 3006, 1256, 4268, 1369, 519, 1895, 269, 2767, 1306, 29928, 543, 24261, 4063, 267, 968, 12179, 3801, 547, 17250, 538, 513, 1906, 3817, 519, 14592, 540, 3979, 22232, 7365, 1590, 23366, 9414, 519, 12178, 540, 31633, 593, 513, 1641, 865, 1390, 538, 922, 2039, 543, 3099, 1848, 2764, 634, 1739, 4901, 267, 4061, 267, 6212, 1152, 593, 519, 3376, 6724, 540, 7365, 1949, 543, 1281, 711, 3801, 547, 1683, 513, 2143, 6609, 540, 7365, 896, 3540, 267, 22232, 267, 610, 3909, 1876, 563, 20578, 776, 7365, 1419, 3340, 519, 8569, 540, 27379, 17314, 269, 674, 1563, 320, 645, 7701, 4967, 267, 968, 763, 2259, 1634, 10838, 519, 715, 1372, 2041, 548, 607, 10981, 23383, 267, 543, 676, 513, 16221, 540, 824, 4408, 538, 519, 1082, 3979, 10209, 1132, 267, 814, 1044, 6956, 607, 519, 4483, 540, 12418, 610, 13184, 543, 5924, 2724, 676, 513, 17053, 27379, 326, 3336, 267, 610, 1010, 1920, 267, 547, 519, 1920, 540, 519, 4807, 646, 30242, 547, 1491, 607, 1010, 7385, 1848, 3066, 2368, 6803, 2516, 2154, 602, 513, 7385, 945, 568, 5275, 513, 16028, 23231, 519, 27379, 17314, 1354, 1352, 949, 23271, 1200, 7365, 269, 769, 930, 2665, 267, 713, 2804, 10421, 949, 25339, 513, 4807, 689, 547, 5275, 513, 16028, 563, 20578, 776, 543, 9099, 22888, 616, 1419, 5732, 21657, 13904, 269, 3509, 855, 711, 782, 2021, 779, 2924, 5640, 1369, 519, 3148, 2070, 21657, 13904, 22888, 607, 20244, 25641, 4724, 2021, 1317, 519, 2259, 9356, 543, 25040, 519, 1379, 11186, 1063, 513, 9393, 543, 1010, 2789, 24726, 269, 1789, 1703, 616, 513, 3099, 540, 824, 2010, 540, 29281, 12417, 2066, 519, 3148, 267, 1519, 267, 585, 1383, 267, 26550, 597, 622, 22888, 538, 634, 717, 25995, 543, 25472, 267, 799, 2049, 950, 513, 4807, 779, 9393, 10523, 543, 1352, 3587, 519, 7385, 540, 835, 540, 519, 21549, 779, 14552, 269, 8409, 22888, 949, 581, 12572, 610, 949, 4125, 513, 4638, 2078, 563, 20578, 776, 543, 3909, 22888, 949, 4125, 1126, 1490, 1938, 269, 4107, 2477, 1631, 723, 513, 5934, 2085, 540, 7365, 267, 4352, 1419, 519, 5934, 2085, 568, 1114, 585, 8695, 543, 6690, 269, 769, 1082, 2477, 267, 519, 5934, 2085, 585, 7365, 896, 27152, 267, 22232, 267, 543, 5924, 9099, 1876, 568, 1896, 1296, 7820, 585, 6690, 269, 1280, 1034, 3979, 2477, 267, 519, 3328, 5934, 3656, 2085, 540, 7365, 1510, 15366, 9844, 568, 476, 1240, 269, 1703, 568, 9645, 13260, 538, 824, 2477, 267, 8151, 689, 476, 1428, 1296, 538, 20997, 543, 14891, 6243, 540, 22096, 267, 547, 476, 2420, 1296, 538, 6239, 3979, 6243, 269, 4029, 454, 6624, 2477, 267, 2705, 267, 1869, 1450, 7365, 693, 513, 7820, 2085, 982, 519, 27152, 5934, 952, 972, 568, 15366, 9844, 269, 23207, 569, 267, 3486, 1480, 2924, 7405, 971, 607, 519, 3979, 25943, 593, 519, 7126, 543, 28054, 540, 519, 4132, 543, 519, 10934, 19513, 16257, 2154, 602, 2829, 9772, 476, 1240, 607, 519, 5934, 2085, 540, 7365, 269, 6736, 519, 15357, 618, 540, 4143, 9086, 676, 1082, 2477, 267, 11268, 3788, 513, 4161, 267, 543, 519, 1966, 540, 1126, 7365, 3788, 7839, 538, 930, 2477, 269, 3953, 634, 1072, 4539, 540, 2038, 7365, 585, 6690, 543, 1762, 2021, 267, 4330, 538, 519, 3296, 968, 29638, 15369, 20222, 2223, 666, 581, 14042, 563, 19187, 1399, 543, 769, 615, 13330, 454, 1103, 16028, 267, 2021, 1419, 1995, 606, 21376, 3892, 540, 3959, 269, 4014, 1082, 2477, 2154, 14261, 540, 22232, 22888, 267, 519, 10421, 568, 28165, 811, 538, 519, 21556, 982, 538, 519, 2616, 766, 269, 1879, 2021, 616, 5275, 513, 16028, 538, 606, 796, 2958, 626, 1229, 22232, 7365, 267, 789, 1419, 4309, 2370, 610, 4986, 538, 519, 16028, 269, 3451, 769, 5527, 267, 10515, 6776, 4168, 2021, 3668, 1022, 2924, 538, 519, 29281, 3959, 1282, 519, 7365, 543, 693, 922, 27072, 269, 2755, 513, 32682, 1027, 3993, 949, 3251, 538, 519, 29281, 2777, 547, 6318, 1453, 267, 1352, 1590, 17355, 10663, 519, 1753, 2899, 1200, 26692, 2165, 7149, 269, 4097, 6468, 616, 849, 27797, 538, 3959, 3892, 693, 16028, 950, 741, 960, 568, 538, 519, 7622, 610, 538, 519, 13016, 5823, 269, 5221, 789, 960, 538, 519, 6101, 4074, 5823, 538, 3152, 2338, 982, 2021, 267, 2367, 616, 1419, 2111, 547, 1683, 6169, 540, 6101, 13848, 269, 6468, 267, 593, 519, 824, 1688, 267, 616, 1419, 693, 519, 23502, 540, 16488, 945, 949, 610, 949, 711, 581, 8348, 547, 2015, 2021, 779, 7622, 7418, 538, 519, 29925, 540, 29281, 3959, 693, 16028, 269, 4634, 950, 16488, 2015, 2021, 779, 7622, 7418, 547, 519, 29281, 7221, 267, 789, 1419, 896, 7407, 1346, 7418, 607, 3379, 547, 519, 9393, 779, 13230, 960, 3544, 519, 1753, 269, 769, 1840, 267, 3656, 2140, 547, 3959, 1369, 513, 7365, 610, 1920, 568, 1419, 10805, 538, 519, 812, 779, 2012, 1152, 269, 901, 12662, 2021, 693, 513, 3978, 19319, 950, 519, 5480, 2733, 2373, 3959, 2390, 27072, 540, 7365, 563, 18131, 616, 849, 1419, 16094, 27797, 538, 519, 2796, 540, 18472, 269, 1879, 513, 4807, 779, 9393, 10523, 267, 1352, 949, 610, 949, 711, 27836, 1022, 3959, 609, 799, 547, 1489, 1200, 1453, 610, 9887, 269, 7201, 25157, 779, 18472, 4031, 267, 585, 1383, 267, 513, 30612, 9310, 896, 22232, 1876, 786, 2693, 27836, 4986, 269, 4340, 547, 23261, 534, 1014, 2021, 779, 2924, 4274, 267, 3933, 3821, 7395, 5803, 5336, 14833, 10937, 912, 20578, 776, 1876, 4625, 13063, 11097, 3298, 689, 9100, 1746, 2244, 689, 741, 21549, 8152, 27512, 267, 1256, 950, 519, 2244, 568, 29281, 3959, 267, 543, 5396, 519, 11097, 3298, 547, 1373, 968, 514, 615, 1243, 892, 676, 2367, 538, 1200, 9393, 779, 1920, 269, 898, 10238, 1080, 20766, 689, 9100, 1746, 1022, 1920, 610, 28334, 2244, 267, 7182, 873, 547, 9100, 1746, 1507, 8843, 540, 3959, 267, 543, 608, 11079, 20766, 543, 11097, 3298, 689, 28720, 1609, 919, 269, 3374, 454, 20578, 776, 18472, 3652, 21256, 693, 513, 942, 950, 1920, 543, 28334, 2818, 3177, 1489, 547, 11097, 3298, 543, 1453, 2390, 519, 2669, 540, 513, 9393, 11721, 1430, 269, 3683, 942, 267, 2705, 267, 519, 2245, 543, 519, 2631, 540, 2146, 17185, 547, 1416, 585, 543, 1489, 11097, 3298, 814, 2849, 335, 1117, 883, 2853, 602, 1118, 2021, 7925, 547, 2804, 14226, 676, 519, 21549, 9393, 779, 1920, 269, 3607, 454, 763, 2259, 540, 968, 342, 573, 578, 18472, 892, 3340, 519, 5256, 14077, 540, 519, 21549, 9393, 547, 19533, 519, 30612, 269, 7201, 22232, 1876, 538, 25157, 267, 519, 5256, 14077, 949, 2307, 519, 30612, 952, 1352, 16858, 547, 19533, 513, 5256, 3448, 269, 4317, 543, 2804, 12503, 593, 519, 30612, 1419, 1118, 713, 968, 577, 4069, 892, 3592, 17149, 269, 27603, 267, 538, 5527, 267, 6917, 2021, 616, 2523, 2693, 547, 19533, 14077, 540, 741, 21549, 8152, 27512, 269, 901, 11710, 689, 513, 1297, 540, 2188, 1519, 22686, 9993, 593, 1121, 541, 11538, 538, 1931, 547, 2327, 602, 7221, 2611, 538, 519, 21549, 779, 1920, 779, 2012, 269, 4391, 769, 930, 2477, 267, 519, 7613, 540, 968, 27393, 1399, 1178, 25290, 892, 568, 1455, 269, 769, 891, 2665, 267, 1310, 513, 9393, 10523, 9123, 622, 267, 1010, 1920, 2818, 786, 986, 573, 1010, 1753, 543, 10544, 3959, 1419, 10714, 532, 519, 2115, 540, 519, 21549, 779, 30612, 543, 1453, 269, 4343, 454, 1103, 615, 13330, 585, 2021, 9310, 896, 9099, 1876, 15320, 689, 18472, 896, 22232, 610, 3540, 1876, 269, 769, 25157, 267, 585, 1383, 267, 7332, 2021, 849, 27836, 3368, 540, 1018, 741, 5256, 13413, 27836, 896, 519, 1876, 269, 4375, 4014, 25157, 779, 4521, 540, 25141, 2920, 7471, 1082, 3344, 540, 7365, 1876, 267, 621, 1705, 711, 1331, 9123, 622, 19588, 3652, 269, 1306, 513, 1267, 267, 2021, 9310, 896, 22232, 543, 9099, 1876, 616, 811, 2693, 547, 581, 16094, 27797, 538, 3959, 3892, 950, 513, 23947, 10523, 1510, 6028, 513, 786, 563, 4504, 1493, 7649, 5208, 568, 513, 1966, 782, 936, 519, 1158, 269, 4000, 568, 1100, 9868, 269, 26162, 540, 15982, 7649, 5208, 2611, 1164, 2429, 519, 3148, 269, 6480, 23660, 689, 476, 1001, 277, 2303, 602, 476, 3607, 2600, 540, 519, 1016, 25781, 2551, 814, 4810, 15982, 7649, 5208, 269, 2412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1164, 10243, 518, 540, 519, 6167, 21345, 8116, 630, 7419, 295, 10135, 1070, 519, 7022, 540, 4139, 9730, 585, 4414, 9061, 630, 2975, 13612, 264, 543, 2622, 7813, 6828, 5518, 786, 3643, 30323, 532, 5984, 21345, 13122, 538, 16273, 593, 4873, 476, 1789, 269, 0, 12552, 547, 4023, 4123, 6800, 616, 8078, 539, 547, 2628, 811, 585, 3388, 538, 1931, 585, 513, 1587, 547, 581, 14468, 538, 519, 7178, 267, 606, 791, 7163, 2115, 547, 2628, 513, 269, 634, 2413, 4023, 4123, 3350, 7960, 538, 21570, 1282, 519, 476, 3422, 271, 338, 607, 606, 856, 29115, 540, 2451, 626, 2875, 3906, 13889, 532, 29505, 14078, 685, 968, 1224, 811, 1934, 269, 6987, 847, 338, 689, 713, 3561, 4367, 1557, 281, 4023, 4123, 610, 1863, 4123, 538, 519, 8938, 1101, 2540, 267, 519, 2518, 5314, 568, 3056, 519, 1158, 2647, 4123, 563, 293, 1515, 4123, 2472, 616, 835, 540, 519, 16595, 3395, 8371, 540, 1426, 3688, 7620, 5059, 593, 6995, 25210, 267, 4023, 4123, 1631, 2882, 1082, 6694, 2472, 971, 607, 20397, 267, 10217, 267, 9932, 543, 7401, 269, 1870, 7084, 476, 272, 4023, 4123, 2152, 547, 2253, 267, 1775, 786, 2697, 930, 540, 519, 2101, 2152, 3823, 4023, 4123, 2853, 543, 2152, 1198, 532, 536, 269, 1403, 596, 2461, 538, 519, 2344, 585, 6995, 267, 5898, 2472, 267, 23342, 610, 10412, 267, 1413, 585, 519, 4023, 339, 8565, 1665, 950, 596, 2461, 856, 10918, 4023, 339, 8565, 2472, 269, 5131, 1557, 281, 4023, 4123, 281, 7082, 1143, 585, 2518, 5126, 4367, 519, 4023, 4123, 3350, 568, 6385, 4742, 606, 6932, 543, 6422, 4222, 547, 4431, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 10388, 3594, 593, 4023, 4123, 269, 12876, 339, 8565, 2472, 616, 2472, 602, 723, 1044, 3812, 1247, 5934, 4441, 1305, 585, 2324, 2175, 723, 1044, 1558, 513, 10839, 3144, 2047, 689, 741, 3896, 630, 5408, 9305, 546, 3095, 264, 6941, 713, 1732, 281, 4023, 339, 8565, 568, 827, 1732, 5777, 267, 22510, 2324, 2175, 267, 2199, 6940, 267, 543, 4023, 2474, 540, 4123, 585, 6705, 543, 4600, 538, 1547, 1548, 568, 4023, 339, 8565, 4023, 339, 8565, 568, 827, 1732, 5777, 267, 22510, 2324, 2175, 267, 2199, 6940, 267, 543, 4023, 2474, 540, 4123, 585, 6705, 543, 4600, 538, 519, 3384, 1158, 269, 1323, 2653, 3562, 268, 16187, 4367, 547, 875, 4023, 4123, 568, 1114, 689, 1863, 4123, 15109, 519, 2640, 543, 19363, 540, 4023, 4123, 2882, 2417, 2542, 269, 12876, 4123, 3091, 6800, 513, 4960, 547, 6300, 31719, 543, 12696, 513, 1732, 2883, 4308, 855, 519, 1062, 1281, 723, 20924, 563, 296, 1294, 596, 267, 1159, 1872, 569, 32127, 936, 707, 6640, 7484, 540, 4023, 2389, 8565, 6995, 267, 11815, 1881, 693, 519, 796, 19960, 514, 762, 1764, 707, 24617, 6074, 10365, 1590, 581, 3142, 514, 269, 5903, 540, 3549, 602, 3761, 4023, 4123, 5370, 5370, 1331, 10217, 267, 6995, 267, 7802, 267, 14446, 543, 13344, 269, 12876, 4123, 568, 513, 2203, 540, 1104, 532, 5370, 602, 723, 1044, 2813, 676, 4600, 945, 616, 15980, 1483, 561, 22133, 13848, 585, 1018, 789, 616, 3257, 3079, 540, 2921, 5413, 540, 519, 1863, 2344, 1062, 547, 2628, 4600, 538, 519, 3768, 324, 975, 539, 1158, 1985, 547, 4986, 267, 12696, 3858, 547, 2743, 1808, 13230, 543, 2504, 4586, 10403, 4023, 4123, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 1879, 1082, 540, 721, 1589, 827, 5355, 2175, 538, 519, 3384, 1158, 267, 4023, 4123, 949, 581, 835, 540, 519, 1101, 1919, 547, 2097, 547, 2247, 855, 875, 552, 269, 19078, 7082, 1143, 666, 581, 2070, 607, 513, 1184, 799, 8309, 547, 606, 3235, 10999, 4264, 2104, 998, 1646, 540, 4264, 19824, 563, 2171, 786, 2328, 513, 2688, 1557, 3732, 593, 5635, 543, 4334, 14692, 11615, 609, 4023, 4123, 4481, 585, 596, 585, 1152, 1269, 14321, 279, 1269, 16928, 270, 2457, 269, 10261, 1557, 3732, 593, 4023, 4123, 5288, 1863, 4123, 933, 786, 2328, 513, 2688, 1557, 3732, 4481, 585, 596, 585, 1152, 1269, 476, 16928, 271, 270, 2457, 269, 26778, 533, 727, 344, 476, 275, 270, 1691, 270, 1001, 273, 7005, 5888, 1527, 544, 1251, 1068, 1141, 621, 782, 3459, 1018, 568, 4023, 4123, 1141, 1705, 621, 1376, 945, 3323, 621, 543, 1946, 3494, 621, 610, 711, 267, 4023, 4123, 814, 1044, 1472, 585, 513, 1279, 942, 269, 5441, 6402, 2852, 8039, 2852, 3594, 2852, 4930, 596, 666, 4444, 4023, 4123, 10217, 4023, 4123, 568, 513, 8760, 602, 513, 2754, 666, 3489, 950, 1547, 0, 296, 729, 8384, 513, 3381, 676, 24955, 2871, 571, 11331, 3163, 25966, 4984, 7000, 1496, 31138, 899, 602, 316, 1141, 646, 729, 6158, 705, 339, 840, 8573, 1049, 3206, 543, 2022, 7787, 3206, 1547, 594, 1616, 547, 1451, 811, 827, 891, 2035, 269, 594, 786, 7485, 936, 1344, 267, 594, 3893, 689, 513, 3068, 1504, 2022, 268, 2776, 267, 5403, 267, 543, 21929, 23539, 1703, 568, 513, 5626, 2203, 799, 6257, 1114, 2157, 540, 24117, 267, 799, 2049, 6923, 538, 519, 1646, 540, 513, 1480, 269, 2776, 7304, 1049, 23539, 910, 1879, 513, 1126, 568, 3384, 267, 621, 568, 2182, 547, 7787, 1125, 7553, 267, 543, 1317, 540, 713, 267, 519, 6151, 1145, 540, 519, 7553, 666, 581, 3078, 267, 3860, 267, 543, 3006, 2282, 23292, 1862, 2943, 666, 581, 796, 29446, 950, 17596, 547, 4308, 609, 4052, 6927, 269, 21929, 23539, 910, 901, 568, 519, 5610, 540, 7954, 799, 568, 4052, 267, 21055, 267, 543, 2111, 547, 1118, 3664, 1759, 593, 6364, 269, 634, 796, 29446, 3787, 1934, 568, 602, 649, 666, 23601, 856, 5876, 538, 9114, 340, 540, 2182, 5013, 267, 1454, 899, 513, 6538, 5403, 7304, 1049, 910, 634, 6302, 547, 7787, 7954, 267, 568, 602, 972, 568, 1100, 2230, 585, 530, 24513, 548, 4055, 267, 5876, 267, 3350, 3544, 540, 602, 7954, 269, 1306, 649, 5941, 267, 538, 840, 8573, 1049, 1242, 2219, 267, 602, 5876, 6818, 267, 855, 1510, 519, 2191, 766, 540, 7954, 267, 666, 581, 3833, 30890, 689, 4641, 269, 2060, 2022, 8573, 1049, 2219, 2705, 267, 649, 1810, 1405, 991, 547, 12235, 2476, 7954, 267, 1152, 5905, 519, 5624, 3544, 540, 621, 267, 6616, 4628, 602, 649, 723, 513, 27733, 547, 2097, 1394, 547, 269, 1677, 581, 2111, 547, 4734, 519, 2497, 29596, 267, 547, 2972, 519, 5876, 540, 519, 2230, 3544, 543, 1063, 267, 649, 2285, 6000, 4055, 547, 1332, 543, 2015, 1114, 5380, 267, 1510, 9561, 5905, 269, 901, 1826, 540, 7493, 267, 543, 2943, 16135, 7156, 267, 666, 948, 8115, 19178, 267, 543, 3142, 1272, 883, 3889, 799, 991, 2230, 547, 1332, 269, 7490, 679, 13097, 269, 0, 22949, 2021, 3160, 2628, 454, 300, 20047, 540, 519, 2021, 781, 3084, 13558, 2319, 616, 3297, 513, 1007, 3160, 1404, 3160, 2628, 512, 6879, 7398, 547, 6318, 2724, 543, 4656, 827, 741, 4339, 547, 2673, 519, 2628, 7934, 269, 623, 887, 28698, 547, 2673, 519, 4008, 2628, 7934, 1472, 519, 1158, 814, 782, 855, 11074, 2094, 519, 476, 1220, 279, 2804, 16154, 543, 621, 786, 581, 811, 982, 476, 1911, 1296, 1354, 2021, 666, 2503, 3160, 2628, 609, 2367, 267, 2687, 547, 519, 5767, 2518, 5515, 563, 3963, 2021, 991, 6793, 20038, 689, 2628, 7130, 1249, 6656, 14656, 519, 3815, 824, 982, 3023, 7934, 538, 519, 3160, 2628, 957, 1294, 782, 3160, 2628, 4031, 2200, 269, 8414, 3160, 2628, 1554, 3758, 602, 896, 968, 628, 902, 596, 4465, 1406, 5873, 892, 593, 512, 11698, 267, 32414, 476, 1321, 267, 519, 4266, 602, 23327, 875, 2484, 883, 519, 1032, 2021, 1590, 960, 547, 7118, 1018, 2367, 12236, 538, 519, 3105, 1032, 269, 26321, 2628, 585, 3160, 1404, 15597, 13934, 519, 10206, 540, 3160, 2628, 646, 11130, 602, 2021, 12582, 1406, 1205, 3160, 2724, 1317, 789, 1810, 1406, 3142, 538, 607, 1454, 269, 4989, 476, 1015, 568, 782, 2021, 779, 3160, 2628, 1554, 538, 476, 1960, 277, 267, 519, 3084, 12233, 593, 2628, 9698, 630, 333, 322, 701, 264, 9250, 519, 1101, 968, 16029, 2628, 1554, 2223, 563, 763, 2804, 1764, 540, 3160, 2628, 676, 1533, 10770, 15271, 8635, 585, 2324, 2021, 18922, 883, 2539, 10715, 2628, 585, 2021, 267, 1447, 4747, 585, 3885, 267, 543, 2362, 3928, 540, 6710, 2066, 519, 8087, 2829, 269, 26321, 2628, 270, 4818, 18730, 7130, 519, 3160, 2628, 957, 3340, 602, 2367, 543, 2021, 538, 519, 1482, 9036, 581, 2016, 3160, 2628, 585, 3160, 960, 519, 6009, 991, 711, 581, 9838, 267, 855, 789, 1590, 581, 15186, 3160, 563, 4415, 513, 2241, 6240, 1765, 342, 1580, 1058, 7118, 3160, 2628, 585, 3160, 960, 1249, 281, 950, 519, 3160, 2628, 957, 729, 9896, 476, 2004, 1296, 3516, 267, 2021, 941, 6976, 476, 6795, 21347, 269, 26321, 2628, 585, 3160, 960, 3976, 609, 519, 3160, 2628, 957, 543, 2140, 642, 4512, 267, 606, 16108, 3112, 20912, 2021, 3160, 2628, 585, 3160, 960, 20912, 2021, 19132, 269, 700, 643, 1119, 2401, 7028, 28043, 519, 4008, 13230, 7934, 538, 2868, 16072, 543, 13922, 7125, 585, 7862, 786, 13469, 3564, 519, 9913, 2872, 563, 763, 3160, 2628, 957, 267, 9896, 883, 1876, 676, 7022, 14646, 535, 32650, 15326, 267, 1500, 621, 10363, 547, 2628, 2367, 543, 2021, 2324, 538, 519, 1482, 1747, 1114, 23269, 585, 2147, 960, 19890, 267, 2687, 547, 519, 7819, 3540, 23118, 9769, 630, 659, 1663, 267, 264, 519, 957, 814, 711, 1044, 2111, 547, 3035, 922, 9153, 540, 14656, 519, 13230, 7934, 1317, 540, 3908, 11268, 2645, 269, 901, 4786, 2488, 1344, 593, 5313, 543, 1533, 7400, 3160, 2628, 543, 2628, 11413, 20038, 585, 4600, 811, 1344, 827, 4027, 267, 3795, 543, 2139, 14319, 616, 7396, 538, 606, 18913, 3349, 693, 519, 3095, 2630, 269, 26321, 2628, 1554, 568, 5921, 547, 6318, 4656, 540, 519, 15739, 32735, 1063, 2367, 779, 543, 2021, 779, 13848, 563, 14937, 2021, 779, 3160, 2628, 1554, 538, 2487, 1296, 814, 1831, 8273, 267, 811, 8537, 267, 543, 811, 5702, 13988, 547, 519, 2833, 540, 3109, 2021, 982, 2479, 1354, 269, 645, 919, 568, 519, 13653, 540, 519, 4948, 3023, 1143, 1788, 543, 519, 2278, 540, 4948, 3023, 1143, 32414, 476, 1321, 7436, 3160, 2628, 1554, 1765, 32188, 1944, 875, 2484, 883, 519, 1032, 2021, 723, 547, 960, 593, 3328, 1354, 741, 15271, 6952, 909, 609, 1018, 2367, 12236, 538, 519, 3105, 1032, 2021, 538, 519, 721, 616, 1869, 3335, 6976, 269, 6468, 3942, 513, 13889, 14053, 3160, 2628, 585, 2021, 693, 513, 476, 1001, 273, 28487, 538, 544, 22585, 563, 22949, 2628, 585, 3160, 960, 621, 1522, 3280, 899, 1455, 2631, 267, 855, 19890, 621, 779, 711, 4641, 519, 5515, 593, 3160, 2628, 616, 18447, 2021, 1118, 1175, 476, 3199, 21347, 585, 1169, 13362, 513, 812, 2306, 267, 2687, 547, 1239, 5950, 676, 519, 14829, 17531, 19052, 268, 26410, 543, 1010, 13732, 2021, 616, 1256, 2417, 3297, 269, 26321, 2628, 1554, 267, 799, 8813, 713, 1032, 32414, 476, 275, 267, 7436, 519, 476, 11463, 3063, 2395, 602, 2021, 1590, 960, 547, 4309, 3160, 2628, 585, 3160, 960, 11451, 2221, 267, 2021, 7118, 606, 3328, 540, 476, 2537, 260, 1447, 982, 5256, 13413, 538, 519, 1482, 2990, 267, 609, 519, 1482, 1995, 11451, 2687, 547, 796, 2021, 585, 2021, 540, 2681, 269, 4340, 547, 519, 721, 14829, 17531, 267, 538, 476, 1001, 274, 267, 2021, 945, 5249, 2407, 942, 12236, 267, 593, 3328, 267, 1152, 476, 4281, 21347, 585, 1169, 13362, 2367, 12236, 519, 5515, 616, 1256, 8338, 585, 2021, 540, 2681, 269, 15742, 2923, 19093, 616, 4758, 535, 27681, 3795, 547, 968, 16029, 2628, 1554, 2223, 513, 968, 21504, 4656, 2680, 892, 11827, 676, 519, 3084, 12233, 593, 2628, 9698, 547, 968, 650, 755, 3433, 519, 7934, 1063, 2367, 779, 543, 2021, 779, 13848, 892, 713, 1895, 6811, 602, 2021, 7118, 1454, 1447, 982, 2367, 1317, 540, 968, 29171, 19303, 269, 7476, 3758, 0, 15761, 847, 338, 689, 713, 3561, 4367, 7998, 17440, 3928, 540, 5114, 540, 9770, 555, 3930, 17139, 622, 609, 8652, 18608, 545, 3679, 8020, 3559, 320, 562, 731, 7236, 2140, 9770, 269, 634, 5114, 9770, 555, 3930, 17139, 622, 5114, 540, 9770, 555, 3930, 17139, 622, 543, 8652, 18608, 545, 3679, 585, 519, 3444, 547, 14897, 666, 581, 1031, 547, 8495, 2557, 540, 269, 15580, 540, 5114, 540, 9770, 555, 3930, 5285, 622, 543, 8652, 18608, 545, 3679, 2557, 4031, 2557, 4031, 267, 851, 540, 519, 1166, 4883, 3621, 1765, 974, 2286, 7998, 1605, 541, 940, 3381, 3126, 269, 1677, 8495, 875, 519, 2557 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15875, 3690, 5025, 660, 541, 8157, 30609, 819, 630, 4489, 275, 1700, 1704, 1070, 849, 1634, 607, 519, 454, 17484, 4269, 30609, 819, 267, 3267, 589, 5885, 1895, 267, 519, 17664, 7256, 5428, 267, 1131, 454, 11743, 6112, 3715, 3786, 538, 5062, 300, 584, 4777, 14675, 10371, 1862, 2201, 4429, 302, 476, 1839, 628, 5437, 476, 1001, 276, 267, 634, 7736, 4269, 3162, 24504, 476, 1911, 30609, 819, 267, 3366, 676, 6424, 454, 1862, 519, 8458, 540, 11264, 519, 1101, 3690, 21303, 16939, 941, 16760, 1932, 563, 1862, 9122, 693, 5742, 3794, 659, 1512, 8805, 267, 1831, 5432, 609, 10450, 543, 519, 4429, 3198, 296, 10660, 1229, 4357, 19426, 547, 19778, 538, 476, 2735, 276, 269, 1284, 20647, 538, 11461, 454, 743, 574, 2125, 267, 20744, 30295, 1299, 824, 9035, 538, 519, 9703, 540, 19778, 269, 3267, 21150, 1046, 454, 517, 606, 16939, 602, 786, 1449, 707, 4222, 267, 16608, 267, 543, 8207, 547, 6443, 3267, 563, 290, 2086, 7896, 3267, 7013, 11875, 29536, 15142, 267, 593, 519, 3376, 1163, 534, 572, 540, 5742, 454, 763, 7736, 4269, 13788, 519, 3640, 4672, 593, 519, 1259, 547, 19778, 269, 3267, 2991, 13777, 850, 267, 1614, 8894, 1485, 3801, 547, 15292, 936, 519, 4672, 267, 1744, 871, 13987, 814, 12284, 16245, 7909, 8805, 4429, 4537, 871, 13987, 267, 654, 832, 2917, 267, 543, 11511, 534, 1305, 1055, 547, 3444, 3162, 11908, 781, 27224, 12641, 611, 454, 2690, 3670, 4374, 267, 519, 7736, 4269, 267, 799, 1744, 871, 13987, 1185, 26948, 1310, 1010, 1920, 454, 332, 582, 1729, 267, 3267, 4256, 1152, 1576, 729, 547, 3786, 593, 519, 4672, 543, 4126, 519, 1166, 4141, 9944, 454, 29442, 1743, 26661, 3267, 729, 593, 519, 6587, 5032, 267, 2066, 30217, 748, 22260, 543, 454, 19878, 476, 4029, 267, 476, 1001, 275, 3267, 4653, 267, 2372, 1046, 15915, 666, 849, 3442, 547, 3786, 856, 543, 596, 3513, 5469, 3267, 3239, 454, 1993, 513, 1715, 674, 1953, 320, 27224, 538, 1010, 12599, 20829, 519, 7736, 4269, 563, 4178, 6983, 944, 656, 541, 18377, 2593, 12458, 660, 541, 18377, 1249, 3758, 270, 14532, 270, 656, 541, 8157, 318, 3369, 657, 318, 15367, 318, 754, 4269, 21703, 454, 2304, 2025, 21303, 1688, 593, 1010, 8772, 7552, 5045, 609, 519, 7736, 4269, 267, 4258, 996, 600, 729, 454, 2807, 1318, 936, 519, 11523, 950, 519, 4672, 2095, 519, 2367, 1185, 1044, 22742, 593, 8237, 538, 454, 18314, 269, 3267, 634, 27224, 729, 4362, 538, 519, 1576, 540, 519, 772, 2529, 269, 13108, 31446, 268, 9873, 7077, 4429, 7343, 549, 2286, 19778, 267, 519, 24736, 568, 899, 602, 593, 1100, 824, 3460, 267, 585, 596, 4429, 17495, 9709, 547, 1118, 538, 476, 4489, 277, 1354, 1010, 6928, 267, 7736, 4269, 267, 3893, 12758, 538, 519, 4672, 269, 3267, 563, 3891, 1185, 18423, 693, 5742, 3794, 659, 1512, 1354, 594, 8452, 267, 543, 729, 519, 2911, 540, 3786, 950, 4429, 4537, 871, 13987, 5433, 602, 519, 1101, 15385, 540, 519, 21303, 2552, 5799, 267, 689, 4262, 547, 4262, 454, 16129, 3267, 519, 12625, 540, 519, 3690, 9762, 514, 1581, 5428, 693, 519, 1283, 540, 519, 2142, 731, 3467, 3794, 659, 1512, 454, 269, 3267, 634, 13673, 291, 7838, 23814, 1131, 581, 1031, 547, 3560, 519, 3690, 9762, 514, 1581, 5428, 547, 454, 32465, 2201, 5412, 476, 3066, 267, 609, 519, 4672, 1932, 29618, 547, 4163, 873, 267, 789, 1305, 909, 3786, 593, 454, 7804, 1516, 30609, 819, 538, 19778, 538, 513, 23625, 7974, 23664, 5060, 476, 277, 311, 277, 267, 5742, 3794, 659, 1512, 8805, 267, 4429, 1633, 15385, 540, 519, 21303, 11782, 267, 713, 12473, 9028, 540, 16608, 729, 4330, 0, 2691, 3744, 4857, 519, 3644, 602, 3361, 713, 6727, 8650, 7929, 6794, 267, 789, 9286, 621, 607, 513, 11452, 734, 320, 3644, 1920, 4171, 824, 2818, 2014, 1082, 1455, 897, 1091, 269, 1809, 547, 972, 729, 4986, 1455, 827, 519, 29723, 1275, 540, 16568, 282, 5693, 267, 713, 11452, 1185, 930, 562, 7360, 15361, 909, 922, 19492, 557, 563, 3086, 267, 538, 513, 6602, 602, 5267, 513, 2009, 1007, 8905, 676, 799, 3744, 1522, 6752, 513, 6669, 1996, 16568, 267, 3173, 693, 519, 2160, 540, 7147, 6481, 25032, 693, 8895, 4034, 517, 630, 7473, 11586, 264, 723, 20114, 835, 540, 1346, 15361, 281, 513, 834, 572, 4038, 14049, 257, 602, 519, 16568, 11452, 3096, 547, 26453, 582, 720, 519, 4761, 23640, 540, 7783, 2281, 269, 31401, 5342, 676, 519, 29031, 11586, 3744, 1397, 602, 513, 16568, 11452, 3940, 1572, 834, 985, 335, 272, 257, 3123, 519, 15059, 540, 23020, 6835, 602, 7363, 5401, 519, 2504, 540, 513, 3940, 2565, 547, 21108, 519, 1560, 1996, 8290, 563, 10454, 16568, 562, 4944, 272, 3940, 9714, 525, 519, 28034, 10717, 5528, 2366, 689, 5027, 547, 1118, 31785, 517, 12498, 267, 799, 568, 2629, 547, 3984, 12046, 2437, 1767, 29031, 11586, 7548, 540, 8762, 5735, 543, 6375, 1108, 1744, 514, 10202, 25120, 3626, 267, 9972, 2278, 540, 513, 1957, 593, 519, 6602, 547, 581, 3370, 2228, 519, 3018, 540, 4864, 476, 278, 538, 519, 18619, 540, 519, 2817, 9142, 540, 7070, 269, 834, 1607, 568, 513, 1360, 4686, 7613, 267, 543, 621, 12651, 513, 2603, 540, 2055, 4534, 1851, 873, 267, 2436, 649, 666, 1118, 513, 30354, 1106, 540, 16568, 11452, 602, 19330, 519, 2702, 547, 31358, 28034, 10717, 267, 799, 1223, 6038, 1291, 547, 519, 5137, 540, 513, 2661, 22887, 18050, 6669, 585, 16568, 4799, 7212, 1082, 8290, 15936, 609, 3984, 2281, 1818, 28034, 10717, 610, 24758, 621, 883, 3968, 1922, 18017, 5946, 267, 1152, 835, 824, 3644, 568, 1634, 547, 2736, 1524, 28034, 10717, 281, 15601, 2241, 343, 3644, 630, 9391, 309, 1916, 300, 752, 3626, 17099, 1291, 2278, 20242, 541, 340, 21919, 527, 8643, 267, 513, 29031, 11586, 2022, 4777, 28118, 1382, 8284, 267, 609, 711, 6005, 602, 519, 562, 4944, 272, 3940, 1185, 606, 6397, 1198, 1247, 646, 729, 14236, 513, 1114, 1305, 540, 16568, 11452, 5946, 269, 834, 3891, 1336, 713, 21109, 540, 3984, 5444, 4082, 267, 543, 1287, 646, 2966, 1896, 17715, 6901, 602, 4951, 621, 729, 3361, 676, 10717, 12159, 267, 1945, 2760, 1354, 2938, 538, 606, 10717, 3644, 4799, 2750, 18075, 875, 602, 12159, 3217, 1747, 267, 875, 606, 10717, 3644, 666, 8190, 922, 8699, 950, 621, 2306, 513, 3940, 602, 9397, 1524, 10717, 267, 543, 2436, 513, 4573, 730, 1875, 7304, 2793, 1673, 1122, 15665, 16568, 11452, 1223, 13822, 513, 960, 762, 16568, 6669, 616, 782, 2152, 602, 25120, 3626, 781, 1895, 30242, 547, 11654, 269, 834, 763, 1292, 6161, 585, 16764, 568, 2436, 16568, 786, 2097, 1394, 2437, 25120, 3626, 1767, 269, 834, 2171, 1616, 547, 581, 4712, 585, 621, 952, 621, 1281, 4799, 297, 574, 23765, 1923, 31823, 2336, 12867, 2697, 5732, 546, 745, 1375, 762, 30354, 533, 7871, 5946, 602, 3895, 2860, 2208, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 12019, 11354, 23320, 12524, 454, 24456, 2861, 6219, 25242, 22442, 1662, 2208, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 1323, 613, 342, 663, 974, 12443, 1067, 325, 832, 577, 2426, 594, 4338, 454, 24357, 27913, 540, 519, 2160, 540, 654, 14660, 345, 7921, 723, 1500, 606, 27314, 6602, 538, 513, 1808, 1826, 540, 30490, 1202, 22399, 269, 634, 1198, 568, 1813, 547, 519, 2497, 540, 519, 2326, 1031, 269, 634, 3173, 723, 1631, 3370, 741, 960, 538, 519, 4760, 3163, 563, 12749, 1670, 1202, 22399, 616, 4867, 519, 3905, 1888, 538, 6323, 2687, 547, 519, 11356, 3026, 826, 2098, 14660, 7815, 14858, 527, 2426, 269, 8307, 513, 1906, 4374, 3516, 267, 741, 2956, 729, 2483, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 5020, 7070, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 17905, 267, 634, 5113, 543, 11094, 454, 6021, 269, 1321, 269, 1001, 277, 1923, 2657, 543, 6925, 0, 21511, 2078, 1063, 4832, 30843, 540, 1710, 16385, 543, 9682, 23402, 2825, 2175, 538, 519, 32720, 11335, 7256, 2008, 299, 8636, 599, 324, 267, 589, 5919, 717, 2335, 1512, 267, 589, 5919, 700, 15546, 267, 590, 5919, 14355, 267, 808, 10422, 12171, 269, 630, 1220, 275, 1040, 634, 2078, 1063, 4832, 30843, 540, 1710, 16385, 543, 9682, 23402, 2825, 2175, 538, 519, 32720, 11335, 7256, 269, 22647, 11576, 269, 30287, 269, 476, 3445, 263, 272, 2567, 476, 4510, 268, 7367, 454, 1103, 281, 22647, 11576, 532, 540, 5113, 269, 29021, 281, 1715, 3840, 11783, 31192, 476, 19740, 275, 268, 28883, 278, 267, 811, 454, 27650, 2504, 282, 22647, 15392, 282, 7195, 320, 523, 30601, 1610, 31647, 630, 299, 4883, 30906, 267, 476, 11260, 279, 264, 1496, 310, 334, 305, 5960, 22049, 11335, 1496, 11321, 710, 3204, 687, 22049, 13149, 454, 24820, 18308, 1475, 13466, 5440, 11406, 268, 700, 8636, 599, 324, 267, 589, 563, 268, 717, 2335, 1512, 267, 589, 563, 268, 700, 15546, 267, 590, 563, 268, 14355, 267, 808, 10422, 12171, 563, 293, 1168, 2090, 723, 6836, 547, 2491, 519, 4832, 3892, 4806, 540, 1710, 16385, 630, 289, 8403, 523, 30601, 1610, 31647, 264, 538, 519, 32720, 8469, 10882, 7256, 267, 606, 1858, 6353, 609, 26945, 543, 23644, 8652, 6798, 1670, 2934, 269, 31420, 11052, 729, 1031, 547, 2744, 32474, 593, 3119, 13947, 936, 1804, 942, 543, 2230, 10253, 543, 547, 1184, 2825, 4632, 540, 4644, 547, 519, 1966, 540, 1710, 3369, 1446, 3892, 12171, 514, 17962, 3892, 729, 5833, 689, 5619, 1239, 543, 6829, 883, 8289, 902, 829, 1770, 540, 4674, 269, 4880, 3119, 2504, 630, 326, 595, 8276, 11054, 27473, 1070, 301, 13048, 267, 666, 581, 6059, 609, 513, 2203, 676, 4393, 6552, 1606, 10234, 7403, 540, 28060, 5834, 267, 3177, 676, 7256, 310, 9281, 306, 21096, 3722, 12991, 13048, 729, 7471, 936, 1114, 13796, 10253, 267, 1644, 547, 3119, 2504, 9979, 538, 519, 1858, 269, 16952, 4632, 941, 6508, 689, 22855, 2627, 2837, 630, 16787, 16281, 305, 270, 17472, 8150, 8596, 1040, 21296, 3444, 2275, 528, 21975, 14170, 941, 7229, 1063, 891, 2825, 6724, 543, 519, 1710, 17962, 4832, 3892, 5228, 476, 1960, 279, 547, 476, 1220, 273, 269, 589, 16762, 2203, 267, 519, 1761, 23454, 4994, 267, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7122, 609, 621, 563, 31628, 3749, 21997, 9478, 10370, 330, 5287, 3081, 621, 1131, 4440, 1491, 17542, 540, 1296, 1354, 649, 3914, 602, 1448, 269, 10370, 330, 5287, 688, 2812, 689, 519, 674, 1069, 328, 2817, 24665, 1807, 12524, 538, 15506, 822, 807, 267, 13325, 269, 1403, 621, 1705, 4755, 1498, 267, 596, 9327, 1406, 917, 621, 269, 2290, 8216, 596, 616, 1934, 267, 519, 1985, 267, 596, 543, 3388, 3116, 568, 15179, 539, 909, 676, 606, 11999, 12511, 19389, 267, 10707, 693, 1769, 3432, 538, 1169, 4287, 269, 5274, 640, 1131, 2760, 1294, 621, 4947, 563, 30681, 11612, 7714, 543, 9164, 1101, 17695, 1242, 519, 6228, 540, 519, 11612, 7714, 536, 657, 517, 538, 476, 3422, 275, 269, 634, 14066, 16874, 1258, 7502, 3187, 630, 299, 18449, 264, 693, 595, 30204, 538, 25611, 267, 16848, 6368, 4362, 621, 538, 476, 1001, 273, 269, 2060, 713, 7508, 4062, 1336, 267, 1614, 540, 519, 2185, 4909, 4229, 540, 2470, 1831, 2347, 269, 634, 9325, 779, 6027, 1871, 568, 476, 14695, 5479, 6475, 24311, 269, 2334, 779, 476, 14695, 2053, 513, 23442, 779, 2527, 269, 901, 568, 1175, 2614, 547, 2226, 513, 1533, 751, 564, 1359, 2282, 519, 6316, 540, 6617, 563, 31819, 538, 519, 7122, 3568, 513, 1978, 2179, 540, 1648, 269, 4634, 865, 267, 3388, 849, 740, 12742, 547, 519, 6240, 540, 6617, 269, 2353, 6878, 1616, 547, 1831, 7123, 269, 1677, 798, 602, 267, 835, 1590, 2270, 607, 2370, 1648, 607, 621, 666, 269, 1879, 1945, 814, 513, 1164, 1648, 1377, 267, 621, 568, 18633, 267, 543, 7575, 547, 7759, 3294, 540, 4430, 1648, 267, 538, 1931, 547, 3035, 6617, 563, 8512, 540, 519, 14066, 16874, 1258, 7502, 3187, 630, 299, 18449, 264, 693, 595, 30204, 267, 1141, 519, 11612, 7714, 536, 657, 517, 729, 4362, 563, 23797, 636, 4610, 28093, 826, 5536, 609, 1585, 3601, 269, 1358, 849, 1616, 547, 1847, 547, 513, 1970, 1648, 1533, 267, 1934, 1572, 513, 12511, 1533, 269, 634, 11612, 7714, 12197, 949, 581, 519, 9868, 269, 898, 561, 1742, 5536, 685, 2527, 269, 13298, 982, 1373, 513, 12511, 267, 519, 11612, 7714, 12197, 3568, 1761, 1648, 621, 3112, 7759, 3294, 540, 267, 1818, 621, 513, 7301, 12511, 543, 676, 2470, 18633, 269, 901, 16132, 1223, 8141, 1055, 267, 952, 519, 2361, 729, 2111, 547, 10110, 811, 1648, 269, 589, 1978, 1448, 621, 1223, 10110, 1100, 811, 267, 751, 2678, 936, 519, 1490, 1074, 543, 1439, 3388, 538, 6228, 563, 763, 11612, 7714, 12197, 568, 4509, 513, 1970, 1648, 1533, 693, 519, 4090, 269, 1809, 930, 3494, 621, 568, 7444, 28006, 547, 513, 1164, 1648, 1533, 269, 1879, 621, 1281, 267, 621, 786, 14736, 1055, 1018, 568, 1634, 607, 968, 341, 659, 10840, 9178, 1848, 769, 8316, 6362, 779, 1433, 267, 2899, 519, 11612, 7714, 12197, 3587, 22037, 762, 267, 519, 12511, 9178, 19389, 786, 10836, 269, 9861, 693, 513, 1164, 1648, 1533, 267, 621, 786, 3533, 1847, 547, 8532, 3388, 693, 513, 1970, 1648, 1533, 267, 610, 3388, 3116, 1472, 621, 269, 634, 12511, 19389, 7575, 2059, 21006, 8444, 267, 7432, 3388, 621, 13341, 883, 7250, 563, 30267, 269, 10370, 330, 5287, 11099, 621, 786, 1491, 17542, 540, 1296, 269, 968, 2467, 781, 1100, 6240, 602, 649, 917, 540, 602, 1131, 2322, 721, 1318, 593, 519, 6316, 2223, 646, 1767, 269, 2160, 540, 8828, 16862, 21575, 22541, 519, 12511, 9178, 3069, 538, 513, 1353, 3370, 538, 519, 4760, 4400, 6052, 8212, 269, 1358, 1336, 2705, 602, 12511, 9178, 1223, 2049, 693, 1022, 4090, 563, 10214, 865, 267, 972, 949, 581, 3544, 4229, 2404, 609, 519, 11612, 7714, 12197, 602, 3310, 621, 538, 7164, 2081, 269, 14730, 2339, 585, 1383, 267, 602, 12357, 6219, 602, 1223, 17663, 909, 547, 476, 2767, 260, 540, 519, 7122, 267, 949, 2170, 609, 519, 11612, 7714, 12197, 269, 21298, 2705, 267, 513, 2319, 540, 7986, 21575, 4547, 883, 8969, 2436, 610, 711, 4158, 2339, 2965, 6818, 269, 6271, 3069, 1572, 968, 338, 1575, 619, 2096, 11496, 2223, 2829, 602, 1169, 9325, 814, 922, 6587, 269, 901, 2337, 1832, 519, 7122, 7123, 269, 16393, 519, 11612, 7714, 536, 657, 517, 723, 513, 18618, 286, 14348, 602, 9325, 1832, 621, 689, 12511, 9178, 286, 3143, 835, 568, 2386, 563, 288, 6041, 540, 519, 11612, 7714, 12197, 269, 676, 22167, 529, 689, 1965, 267, 16671, 15760, 4149, 288, 476, 274, 269, 271, 267, 9504, 12780, 563, 2005, 568, 5156, 602, 950, 12511, 9178, 5555, 3217, 1747, 267, 1018, 786, 581, 2451, 568, 513, 2706, 515, 730, 267, 2182, 267, 543, 5393, 10053, 12106, 269, 2368, 28936, 903, 27913, 3494, 519, 7122, 267, 1175, 1354, 519, 8262, 10854, 267, 949, 723, 6743, 899, 713, 269, 634, 11612, 7714, 12197, 568, 2219, 547, 723, 7153, 16172, 1310, 519, 8262, 10854, 269, 1924, 621, 949, 581, 519, 6117, 3196, 799, 25533, 525, 519, 7122, 543, 4229, 621, 547, 1376, 936, 1586, 563, 1607, 3884, 1406, 519, 1152, 12497, 1436, 799, 25221, 519, 9552, 540, 3388, 10876, 269, 6271, 568, 519, 8262, 9197, 4875, 3069, 269, 901, 568, 519, 6587, 540, 519, 8262, 10854, 269, 2060, 519, 1101, 267, 513, 4015, 540, 2706, 10053, 1570, 1011, 10757, 267, 646, 3058, 3388, 856, 538, 782, 8846, 269, 2060, 519, 8262, 9197, 4875, 267, 621, 779, 2219, 602, 1570, 5555, 13515, 3001, 693, 930, 1448, 267, 543, 5956, 10707, 538, 519, 6587, 4287, 267, 4947, 1394, 1927, 1586, 563, 3383, 1256, 952, 649, 616, 2111, 547, 9101, 519, 4541, 543, 1831, 606, 954, 6549, 12519, 2249, 1354, 519, 3141, 1266, 5285, 338, 519, 3618, 267, 519, 7122, 3294, 949, 12900, 269, 634, 1152, 1259, 547, 2327, 15325, 568, 952, 519, 1617, 5744, 2965, 6818, 267, 543, 649, 666, 1831, 513, 3818, 10595, 1392, 531, 2249, 269, 6787, 621, 568, 519, 8262, 9197, 4875, 540, 28820, 10840, 5463, 599, 602, 4991, 721, 267, 621, 779, 4277, 547, 1589, 602, 5310, 1310, 602, 10053, 267, 3905, 1533, 267, 621, 1223, 538, 3069, 1011, 1712, 1586, 267, 4929, 513, 2034, 8262, 10854, 563, 2252, 3020, 267, 875, 1082, 2053, 814, 519, 4783, 7018, 286, 1656, 1281, 1686, 10956, 3294, 4010, 267, 610, 568, 513, 11207, 1007, 7122, 4535, 286, 898, 568, 540, 1576, 1271, 547, 3314, 602, 713, 568, 782, 538, 519, 7706, 540, 7811, 6323, 269, 634, 7122, 949, 12404, 607, 540, 2943, 513, 14951, 7708, 557, 540, 7164, 5536, 799, 1223, 1689, 891, 11236, 543, 1179, 2827, 4625, 563, 2414, 1451, 811, 827, 12511, 9178, 4945, 1934, 912, 26807, 1216, 22404, 666, 9101, 689, 20883, 1310, 1373, 10057, 563, 268, 589, 5545, 10196, 2982, 602, 930, 22404, 666, 530, 24513, 548, 856, 540, 13855, 781, 855, 1206, 1310, 1373, 13881, 2898, 563, 268, 634, 1382, 5267, 519, 27134, 666, 1205, 856, 538, 607, 2370, 607, 476, 278, 3764, 563, 268, 4107, 540, 519, 22404, 15179, 539, 538, 519, 4603, 15068, 609, 1100, 8374, 1310, 1373, 608, 920, 1540, 563, 1103, 1018, 568, 5310, 835, 540, 519, 20868, 652, 6901, 2479, 602, 2501, 689, 519, 7121, 540, 834, 25585, 1705, 4896, 991, 547, 917, 713, 8119, 3744, 723, 8810, 602, 519, 3204, 12494, 691, 807, 22887, 340, 1092, 27134, 666, 18214, 856, 540, 513, 13855, 781, 12765, 1310, 1373, 13881, 563, 763, 1382, 729, 5645, 856, 676, 918, 12786, 2160, 3235, 6048, 1744, 514, 10202, 590, 1872, 328, 3120, 269, 3571, 2319, 1336, 602, 519, 5354, 540, 22404, 15179, 539, 676, 3109, 1606, 13607, 1540, 11432, 20883, 630, 303, 601, 4451, 331, 1314, 562, 580, 668, 659, 592, 9850, 264, 1031, 538, 741, 4603, 7307, 547, 9101, 827, 476, 277, 3108, 1310, 543, 941, 9985, 5386, 563, 257, 2080, 267, 594, 1867, 3742, 9101, 540, 519, 12748, 27134, 681, 269, 22887, 340, 1092, 689, 519, 642, 757, 540, 2947, 13855, 2249, 3842, 519, 9667, 8778, 2437, 11339, 590, 1872, 328, 3120, 538, 513, 1007, 1957, 267, 4946, 834, 24392, 2937, 22404, 941, 3362, 13881, 676, 20883, 267, 476, 3445, 2600, 540, 15179, 539, 22404, 941, 608, 920, 1540, 1369, 3670, 3108, 1310, 1373, 13881, 543, 267, 19599, 267, 941, 1869, 9800, 4799, 3080, 17079, 1256, 3893, 856, 538, 607, 2370, 607, 476, 278, 3764, 563, 306, 1872, 328, 3120, 849, 6836, 8380, 14589, 593, 519, 7953, 540, 930, 540, 519, 22404, 267, 7303, 873, 689, 3001, 269, 1452, 3283, 941, 711, 2111, 547, 1118, 621, 856, 9800, 267, 2921, 689, 476, 4343, 547, 476, 5611, 3108, 547, 581, 2007, 6479, 563, 301, 6334, 267, 607, 4896, 1131, 2390, 25884, 971, 513, 1650, 267, 596, 2811, 11842, 1141, 781, 519, 3381, 269, 30586, 267, 519, 3744, 6592, 519, 18659, 912, 763, 3204, 12494, 691, 807, 22887, 340, 1092, 27134, 666, 581, 1336, 538, 519, 21050, 923, 267, 2523, 607, 10860, 538, 3165, 11058, 7815, 625, 269, 898, 781, 711, 519, 1152, 2186, 540, 13442, 602, 666, 7639, 1373, 15179, 539, 269, 589, 2487, 1353, 4951, 602, 13131, 552, 1564, 616, 2111, 547, 3276, 992, 856, 540, 519, 7181, 338, 540, 3165, 1210, 741, 8325, 21217, 267, 1152, 547, 1831, 12758, 267, 5884, 267, 543, 581, 544, 17026, 1881, 538, 519, 8937, 13570, 269, 12207, 616, 10912, 519, 27134, 781, 2702, 519, 1101, 13006, 834, 5562, 10352, 9101, 1701, 15394, 267, 971, 17631, 998, 519, 9667, 8778, 723, 1880, 14624, 602, 1118, 621, 2009, 585, 873, 547, 16641, 3665, 9063, 543, 3668, 540, 5135, 269, 634, 3173, 1589, 519, 27134, 781, 8945, 568, 538, 1802, 1424, 519, 13855, 547, 1930, 513, 865, 10777, 834, 1203, 257, 6417, 676, 519, 838, 327, 3307, 518, 4887, 563, 257, 31714, 941, 2141, 608, 920, 1540, 2212, 1101, 689, 519, 13855, 5887, 267, 11021, 602, 681, 269, 22887, 340, 1092, 22262, 519, 12042, 8937, 267, 28409, 519, 13855, 547, 1219, 1815, 622, 2437, 6941, 590, 1872, 328, 3120, 563, 2690, 811, 1344, 267, 2638, 856, 519, 1353, 3370, 538, 7351, 10334, 563, 6124, 1382, 689, 519, 2160, 540, 21081, 3385, 1336, 602, 2566, 1223, 948, 3313, 3023, 563, 29590, 538, 519, 2413, 1158, 568, 3622, 9763, 607, 513, 12042, 8896, 547, 513, 2635, 1272, 563, 29012, 267, 4430, 2566, 568, 2404, 609, 3875, 2042, 267, 1519, 9025, 2068, 267, 1164, 1973, 2604, 267, 20026, 267, 4965, 267, 8377, 267, 543, 824, 2175, 269, 2755, 519, 12214, 6127, 2404, 609, 2566, 666, 581, 6225, 267, 607, 23765, 17755, 517, 580, 531, 2798, 856, 538, 634, 772, 1186, 728, 540, 13262, 267, 519, 2413, 9716, 2872, 568, 3710, 593, 519, 5748, 540, 2566, 8323, 563, 763, 2360, 540, 2566, 593, 9176, 11299, 568, 1776, 32618, 1858, 540, 1382, 269, 1280, 1383, 267, 1018, 1761, 2942, 2360, 798, 11506, 2157, 540, 23280, 267, 3134, 710, 31058, 267, 543, 562, 648, 18090, 31058, 723, 593, 19341, 1646, 888, 288, 1007, 1353, 267, 3370, 538, 519, 4750, 540, 25833, 17959, 540, 2657, 543, 8376, 267, 11567, 513, 1360, 1808, 2460, 540, 2566, 593, 10099, 4926, 281, 1281, 621, 1860, 3023, 286, 4256, 4681, 7866, 602, 2021, 609, 11506, 2566, 616, 7466, 607, 2693, 547, 2285, 4332, 547, 513, 8004, 563, 2690, 713, 1382, 267, 519, 2160, 540, 21081, 3385, 3744, 6592, 519, 2566, 2157, 540, 476, 10482, 2021, 1354, 267, 1282, 267, 543, 1310, 17748, 269, 1635, 4152, 23280, 5834, 538, 741, 4552, 543, 1641, 532, 519, 2021, 547, 513, 3099, 540, 5626, 4255, 267, 519, 3173, 4362, 602, 2566, 8197, 7506, 3023, 269, 13018, 267, 2566, 1500, 2021, 7466, 607, 2693, 547, 5838, 513, 4816, 8004, 563, 763, 2319, 2798, 856, 602, 741, 1382, 568, 5812, 609, 824, 1382, 602, 1031, 19975, 547, 1397, 602, 2566, 8507, 538, 513, 8519, 10171, 540, 12419, 513, 7911, 563, 300, 7559, 1772, 8475, 623, 1968, 3279, 10548, 6403, 30959, 20124, 21806, 540, 2160, 540, 21081, 3385, 454, 22117, 2278, 3057, 17144, 1772, 8475, 623, 1968, 3279, 10548, 6403, 30959, 267, 513, 11001, 693, 519, 772, 16165, 781, 4972, 540, 22226, 267, 16214, 543, 16723, 9615, 267, 3081, 602, 1991, 1382, 5059, 593, 2566, 2157, 3056, 909, 547, 543, 1310, 4332, 269, 2701, 729, 5461, 538, 2566, 781, 1764, 3056, 909, 547, 17748, 269, 2701, 3081, 912, 257, 11854, 32496, 267, 938, 1382, 1895, 814, 3254, 538, 3875, 12326, 875, 5626, 2566, 538, 519, 3993, 12958, 513, 3152, 1297, 540, 2618, 13771, 1670, 2589, 1282, 6379, 281, 2022, 31691, 4965, 267, 513, 3152, 10171, 540, 19443, 6765, 267, 606, 2333, 538, 519, 942, 3144, 585, 14915, 566, 547, 30134, 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 ]
[ 497, 31149, 395, 488, 14267, 19084, 630, 22396, 269, 594, 7974, 24270, 3852, 497, 10382, 15403, 14267, 21227, 267, 18841, 377, 479, 267, 717, 2967, 639, 610, 595, 2967, 639, 282, 519, 2012, 540, 513, 4168, 912, 272, 269, 540, 14216, 2041, 281, 20450, 476, 736, 281, 275, 563, 273, 269, 540, 24765, 8205, 281, 20450, 476, 866, 281, 3066, 563, 275, 269, 540, 606, 7164, 4168, 267, 547, 7247, 519, 3791, 9210, 16824, 540, 3627, 729, 9619, 281, 476, 274, 3627, 476, 272, 281, 272, 269, 630, 289, 269, 667, 269, 1977, 7160, 896, 519, 2262, 2986, 5824, 5169, 282, 717, 2967, 639, 630, 328, 4318, 269, 595, 2967, 639, 1070, 513, 4168, 4534, 717, 2967, 639, 563, 8170, 5824, 5169, 282, 717, 2967, 639, 630, 328, 4318, 269, 595, 2967, 639, 1070, 513, 4168, 4534, 717, 2967, 639, 563, 12626, 2006, 781, 19270, 867, 766, 1805, 3994, 781, 5259, 476, 10755, 271, 454, 394, 497, 10382, 29111, 413, 379, 367, 2443, 476, 272, 12769, 563, 394, 497, 10382, 413, 379, 500, 14267, 14832, 2443, 476, 273, 12769, 563, 394, 497, 10382, 413, 379, 500, 14267, 19084, 2443, 476, 273, 12769, 563, 8002, 338, 476, 866, 281, 3066, 715, 268, 4456, 306, 454, 16165, 298, 281, 16564, 394, 511, 10382, 16483, 16708, 14267, 14832, 21566, 21227, 14832, 10382, 16708, 11027, 31149, 17385, 10382, 14832, 16483, 15770, 19084, 3852, 497, 10382, 413, 379, 500, 14267, 14832, 3852, 374, 10382, 30307, 370, 31057, 486, 16708, 29111, 17385, 16483, 10382, 16708, 395, 485, 14267, 14832, 454, 2793, 306, 281, 1951, 21794, 2059, 717, 2967, 639, 543, 14163, 1105, 639, 2676, 298, 297, 309, 281, 2348, 9575, 717, 2967, 639, 543, 454, 19860, 281, 16222, 2348, 25868, 609, 1496, 29442, 316, 717, 2967, 639, 543, 14163, 1105, 639, 0, 19328, 262, 4008, 910, 562, 25900, 3377, 267, 3127, 267, 2059, 609, 513, 3984, 540, 824, 5045, 607, 1014, 6082, 267, 568, 1753, 547, 513, 1895, 540, 19574, 1004, 1572, 834, 6062, 329, 6652, 2437, 945, 723, 1279, 6039, 607, 15520, 1713, 9161, 269, 3127, 17767, 4008, 1923, 942, 1421, 6468, 543, 1412, 6062, 329, 6652, 9166, 15242, 17767, 3791, 4008, 269, 19574, 1004, 538, 15242, 723, 2141, 1185, 547, 5581, 2933, 593, 2229, 3029, 607, 2901, 513, 968, 332, 1446, 563, 19328, 262, 1098, 326, 25311, 910, 554, 6359, 6652, 910, 2829, 2006, 267, 8616, 27581, 7254, 794, 539, 1747, 21944, 2528, 267, 554, 6359, 6652, 3068, 4049, 18275, 7130, 4287, 907, 5291, 2517, 4178, 269, 2908, 560, 919, 2006, 2593, 11320, 5454, 268, 3530, 4202, 270, 1220, 279, 270, 4962, 270, 6062, 329, 6652, 23949, 1014, 19145, 8573, 2074, 670, 6359, 571, 15242, 4008, 268, 521, 926, 2686, 2495, 267, 4676, 10320, 3066, 2495, 521, 926, 15242, 262, 4008, 267, 4122, 554, 6359, 571, 907, 5291, 2517, 4178, 269, 10915, 10320, 3066, 2593, 270, 785, 807, 3620, 6359, 571, 589, 3460, 1928, 5898, 281, 19574, 2073, 901, 3018, 267, 15242, 262, 18678, 5480, 19942, 19506, 15194, 554, 6359, 6652, 19574, 967, 2103, 267, 9301, 4008, 1876, 1547, 5291, 2517, 4178, 8542, 1440, 3820, 270, 21827, 270, 25502, 3149, 270, 1001, 275, 270, 6860, 270, 1240, 270, 19054, 276, 4366, 277, 4037, 21669, 18191, 712, 2284, 6361, 1790, 664, 7146, 15515, 2246, 344, 6823, 15515, 5765, 20675, 14054, 2987, 23949, 807, 0, 1765, 630, 31142, 886, 639, 1470, 968, 4944, 15105, 267, 22502, 14615, 513, 1184, 540, 2339, 4483, 676, 4351, 5163, 540, 6675, 267, 8444, 610, 12274, 538, 513, 2582, 268, 610, 3818, 16327, 9426, 1062, 563, 11795, 4288, 568, 513, 9039, 638, 10329, 1184, 267, 2705, 267, 621, 5012, 547, 606, 11466, 3892, 540, 6219, 9830, 1369, 519, 1062, 269, 2353, 2010, 540, 18236, 616, 18170, 676, 519, 1482, 4031, 269, 634, 18236, 2557, 568, 14354, 547, 519, 1858, 540, 519, 2627, 1373, 13902, 547, 519, 4287, 540, 4483, 267, 547, 519, 3017, 538, 9830, 267, 5210, 267, 610, 519, 5279, 5860, 630, 514, 2013, 540, 5266, 1507, 2418, 540, 891, 6724, 1040, 634, 2179, 540, 6219, 602, 886, 4926, 936, 513, 2016, 942, 267, 543, 3845, 14612, 676, 519, 886, 6748, 6219, 267, 616, 14354, 547, 519, 4009, 3597, 540, 519, 942, 563, 1103, 1034, 4052, 2665, 519, 2095, 540, 886, 6748, 5536, 568, 14354, 547, 519, 5834, 13506, 595, 454, 5976, 513, 11664, 540, 8167, 1275, 1572, 519, 18236, 11664, 667, 454, 4940, 634, 18236, 11664, 667, 454, 17141, 5673, 593, 519, 2837, 563, 11795, 4288, 2010, 4767, 538, 513, 4396, 1560, 616, 13557, 543, 2627, 18236, 454, 267, 607, 1134, 607, 18236, 2059, 10286, 6302, 630, 326, 1778, 27995, 776, 18236, 454, 1070, 799, 8428, 7494, 538, 6991, 563, 268, 11809, 3120, 341, 4582, 320, 14844, 3315, 320, 717, 563, 268, 7203, 534, 514, 12138, 589, 563, 268, 17449, 18236, 12262, 9504, 267, 519, 1863, 22605, 269, 2443, 5291, 2517, 523, 25769, 3820, 28293, 19072, 12817, 5091, 858, 4288, 630, 10915, 2397, 4266, 476, 1321, 269, 1321, 269, 1001, 272, 1916, 268, 5262, 4288, 12262, 11906, 22605, 630, 514, 6739, 1040, 966, 269, 476, 272, 269, 2443, 18293, 12727, 590, 913, 1206, 330, 24652, 552, 18255, 857, 9383, 641, 2664, 10937, 267, 476, 1960, 271, 269, 476, 9083, 533, 269, 0, 19138, 2701, 1091, 8752, 593, 25792, 634, 8427, 13979, 585, 11671, 19592, 17654, 8376, 454, 290, 2562, 290, 2562, 2793, 2316, 267, 4728, 476, 2767, 267, 476, 1001, 278, 1315, 11266, 6124, 1873, 790, 268, 4785, 6124, 1873, 790, 270, 2443, 12207, 13148, 556, 15564, 4327, 30635, 3042, 13285, 538, 10856, 3631, 540, 2789, 26379, 630, 5960, 264, 543, 17468, 18215, 10688, 676, 8156, 519, 2831, 609, 513, 1507, 1875, 2275, 5317, 10717, 1572, 513, 2890, 11748, 563, 1103, 513, 1353, 3370, 2228, 4728, 476, 2767, 538, 25833, 8426, 267, 3173, 693, 595, 32385, 10620, 5753, 779, 11233, 6481, 4741, 1867, 602, 2126, 609, 513, 2890, 11748, 1572, 11465, 305, 268, 25546, 1964, 14975, 2504, 540, 513, 6219, 1572, 24869, 514, 538, 13285, 540, 519, 3844, 8401, 1062, 269, 3733, 601, 514, 3029, 513, 8825, 1352, 987, 1472, 13285, 267, 3850, 873, 547, 7561, 10141, 5122, 25372, 602, 12954, 3350, 563, 19138, 4589, 13950, 11465, 305, 268, 25546, 883, 519, 11983, 9587, 543, 6147, 321, 4592, 335, 1400, 5714, 540, 8983, 609, 8229, 23541, 8697, 676, 513, 3114, 1572, 11430, 18030, 322, 603, 514, 610, 676, 16991, 29363, 3912, 601, 4345, 13251, 538, 519, 2831, 267, 799, 568, 1031, 547, 2203, 9049, 269, 9615, 609, 11465, 305, 268, 25546, 5368, 341, 580, 528, 730, 519, 1599, 540, 8697, 2281, 1572, 23731, 30705, 24945, 5052, 602, 3132, 24869, 514, 267, 799, 4847, 519, 6219, 547, 6963, 543, 556, 1231, 3634, 13285, 563, 14071, 1397, 602, 11465, 305, 268, 25546, 9072, 2789, 3157, 602, 21391, 24869, 514, 5250, 1310, 8229, 5945, 676, 519, 2068, 1184, 267, 543, 602, 2126, 609, 713, 2890, 11748, 13148, 1964, 2803, 24869, 1588, 543, 18215, 1599, 2223, 1767, 1627, 269, 9400, 13198, 267, 12854, 267, 1291, 31375, 543, 3621, 8689, 540, 519, 11020, 570, 32214, 4741, 693, 595, 32385, 10620, 5753, 779, 269, 968, 2005, 568, 10703, 22133, 602, 11160, 13586, 11465, 305, 268, 25546, 2126, 609, 824, 3625, 619, 540, 24869, 514, 1036, 9512, 949, 1683, 513, 6687, 2002, 2126, 4640, 585, 1004, 609, 1629, 344, 601, 3215, 3676, 899, 9049, 3034, 763, 4589, 2566, 602, 1317, 741, 1353, 729, 5342, 538, 1496, 28781, 547, 3136, 2507, 2639, 291, 1737, 1467, 585, 12377, 22347, 3827, 281, 476, 1789, 4989, 476, 1001, 278, 454, 15239, 2275, 5317, 10717, 568, 1869, 16561, 22347, 3827, 585, 513, 7981, 17136, 593, 6348, 32017, 10717, 2409, 269, 901, 7981, 17136, 568, 1071, 16823, 24737, 1243, 676, 3220, 269, 623, 1512, 334, 2961, 333, 514, 857, 689, 519, 681, 31082, 2894, 4741, 585, 5020, 3163, 16370, 538, 3567, 543, 3220, 269, 19953, 660, 16735, 2946, 689, 519, 2817, 4741, 585, 11660, 3194, 630, 290, 301, 11965, 264, 538, 8303, 269, 20504, 539, 4574, 616, 3370, 2228, 5612, 1310, 5299, 11049, 269, 6348, 4211, 5317, 10717, 568, 606, 7046, 7457, 4760, 563, 333, 322, 11748, 568, 513, 6385, 3395, 2361, 538, 799, 1007, 1382, 2409, 616, 11179, 17729, 269, 2060, 713, 7981, 17136, 267, 519, 15769, 2832, 547, 2445, 513, 5542, 540, 4930, 593, 9241, 2919, 2553, 540, 2027, 1719, 585, 3173, 538, 519, 562, 322, 11748, 2361, 563, 8256, 30872, 786, 581, 22251, 602, 1867, 593, 1007, 8097, 2409, 2073, 607, 1134, 607, 8039, 540, 11108, 1719, 602, 1445, 593, 9241, 2919, 2553, 585, 562, 322, 11748, 1382, 602, 1331, 912, 268, 562, 322, 11748, 2079, 3292, 454, 268, 562, 322, 11748, 26537, 520, 2762, 2409, 454, 268, 562, 322, 11748, 2497, 2079, 454, 268, 562, 322, 11748, 1599, 2079, 454, 268, 562, 322, 11748, 676, 1164, 28443, 1584, 9584, 454, 268, 562, 322, 11748, 18482, 270, 2304, 2254, 566, 454, 268, 562, 322, 11748, 9196, 454, 268, 2409, 547, 3713, 519, 2170, 727, 540, 10717, 630, 5976, 5946, 267, 609, 6985, 11294, 267, 3092, 8094, 7804, 269, 623, 1512, 334, 2961, 333, 514, 857, 454, 7804, 269, 19953, 660, 16735, 2946, 454, 8923, 946, 519, 2228, 19169, 1062, 543, 5815, 538, 707, 3382, 4484, 602, 596, 1131, 899, 547, 723, 707, 12377, 2808, 585, 519, 7981, 17136, 968, 15239, 32017, 10717, 2409, 6100, 1403, 596, 1131, 899, 547, 679, 638, 790, 1496, 28781, 547, 3136, 2507, 2639, 18550, 476, 2764, 628, 476, 1001, 278, 912, 20779, 2970, 566, 540, 1627, 331, 1075, 648, 15345, 923, 25817, 267, 519, 6915, 514, 26197, 3301, 585, 3744, 267, 27563, 3168, 585, 513, 3593, 7888, 2079, 3301, 585, 8216, 14839, 543, 3408, 540, 1239, 563, 14294, 909, 1631, 693, 8940, 269, 27942, 1075, 648, 2593, 270, 19986, 14373, 4586, 8802, 626, 1674, 593, 519, 3135, 786, 1450, 596, 547, 4585, 5892, 6592, 1357, 21577, 607, 1134, 563, 2414, 1433, 513, 9608, 1242, 1357, 14373, 267, 5225, 552, 17733, 1496, 16942, 6870, 14073, 273, 526, 4139, 32600, 593, 13571, 4536, 538, 17449, 3163, 454, 15239, 4211, 5317, 681, 18456, 1299, 9210, 3394, 7497, 538, 9435, 454, 2641, 1700, 2537, 4873, 476, 1001, 278, 454, 18693, 665, 10938, 267, 2160, 540, 30239, 267, 30239, 267, 16848, 454, 25486, 8784, 618, 281, 15937, 16458, 1467, 585, 7216, 32310, 3171, 525, 476, 4029, 4728, 476, 1001, 278, 454, 2304, 3486, 3621, 10554, 6896, 676, 519, 631, 7894, 296, 13746, 4139, 4750, 540, 17449, 7070, 543, 6348, 4211, 5317, 10717, 454, 3080, 540, 519, 1034, 6397, 543, 4241, 8906, 538, 593, 19223, 936, 519, 2250, 8717, 814, 1044, 519, 16799, 1063, 17244, 538, 3940, 2275, 5317, 6090, 543, 1875, 2275, 5317, 681, 18456, 630, 333, 322, 23978, 1070, 799, 616, 1757, 958, 3238, 538, 2860, 22612, 267, 11144, 267, 543, 23425, 269, 4014, 267, 547, 4266, 267, 519, 1034, 6594, 1875, 2275, 5317, 681, 18456, 630, 333, 322, 23978, 264, 616, 11465, 23978, 267, 519, 2956, 540, 1279, 1875, 2275, 5317, 681, 18456, 630, 15238, 322, 23978, 264, 568, 5051, 1373, 6444, 269, 2311, 519, 10554, 267, 13886, 968, 15239, 4211, 5317, 681, 18456, 543, 9210, 3394, 7497, 538, 9435, 5608, 3401, 538, 519, 2361, 786, 1459, 519, 5107, 540, 11465, 23978, 543, 23692, 322, 23978, 538, 2860, 267, 609, 513, 1445, 593, 519, 5063, 4857, 3209, 6127, 540, 2962, 267, 543, 1865, 519, 1699, 2994, 538, 8888, 562, 322, 11748, 2389, 1173, 7566, 519, 31706, 267, 607, 1134, 607, 519, 2404, 2591, 269, 1284, 4126, 547, 1294, 596, 782, 267, 1762, 538, 6891, 543, 2247, 267, 538, 519, 1007, 661, 671, 528, 5964, 540, 3163, 3584, 538, 24118, 9443, 2336, 763, 6348, 4211, 5317, 681, 18456, 543, 9210, 3394, 7497, 538, 9435, 786, 581, 4371, 538, 30239, 267, 16848, 267, 689, 476, 2641, 560, 547, 476, 2537, 6113, 540, 4873, 476, 1001, 278, 269, 898, 786, 17663, 2947, 726, 32418, 7886, 547, 5031, 519, 1034, 3078, 7835, 543, 519, 5767, 23484, 538, 593, 19223, 563, 2252, 596, 616, 5461, 538, 10283, 538, 713, 10554, 267, 543, 538, 9306, 513, 16968, 267, 610, 538, 1373, 5697, 585, 513, 2110, 2911, 267, 5225, 11578, 543, 1205, 538, 5905, 609, 519, 10554, 5728, 30353, 269, 634, 1982, 540, 519, 10554, 568, 1373, 19632, 543, 786, 581, 4628, 2139, 676, 4728, 476, 1001, 278, 563, 2690, 811, 3877, 543, 547, 11578, 281, 5291, 2517, 2675, 604, 28262, 14492, 270, 935, 12401, 14672, 322, 11748, 4211, 22083, 454, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3677, 10838, 2860, 24412, 281, 519, 681, 9680, 2752, 9169, 4983, 9672, 602, 891, 723, 513, 476, 736, 260, 3677, 1981, 540, 2870, 693, 7434, 27417, 20746, 982, 519, 11317, 609, 856, 2860, 267, 1256, 538, 519, 9000, 540, 593, 1723, 268, 3012, 1670, 3797, 543, 1310, 14577, 585, 2085, 267, 2295, 2042, 543, 1114, 1981, 3334, 585, 693, 7434, 27417, 20746, 563, 2026, 3220, 269, 700, 6759, 19649, 22513, 5451, 526, 14162, 6941, 267, 519, 2799, 1981, 540, 4299, 676, 693, 7434, 27417, 20746, 538, 2860, 24412, 814, 547, 798, 609, 1142, 519, 3556, 3999, 16464, 640, 540, 593, 1723, 268, 3012, 1670, 6646, 607, 609, 519, 683, 22914, 3294, 269, 19452, 267, 519, 2295, 11285, 10123, 1121, 20047, 519, 16917, 8344, 30901, 1063, 2860, 543, 693, 7434, 27417, 20746, 267, 602, 616, 3063, 7928, 538, 519, 11317, 936, 476, 4792, 1296, 540, 2085, 269, 968, 2467, 616, 513, 5311, 540, 3334, 267, 28330, 547, 13119, 267, 2597, 2042, 610, 513, 25161, 1259, 540, 1272, 267, 799, 3870, 519, 6454, 540, 713, 2855, 15219, 8926, 267, 543, 602, 616, 10123, 5532, 547, 519, 1985, 9860, 540, 2860, 2223, 646, 3081, 269, 2201, 519, 1114, 1688, 267, 2860, 24412, 723, 2799, 1981, 540, 5563, 610, 17350, 267, 538, 1840, 547, 1114, 2042, 602, 3870, 519, 1413, 540, 693, 7434, 27417, 20746, 563, 19686, 547, 19200, 538, 519, 2860, 4299, 1268, 454, 2026, 513, 1259, 547, 7520, 4648, 7245, 540, 693, 7434, 27417, 20746, 538, 519, 2860, 4299, 1268, 267, 519, 22444, 779, 9315, 1470, 268, 4002, 19223, 543, 774, 19407, 2670, 30581, 15469, 538, 476, 1001, 280, 606, 18164, 13618, 2703, 543, 10372, 269, 968, 307, 650, 1631, 972, 568, 1100, 971, 3364, 607, 513, 1344, 593, 2653, 2409, 547, 6023, 713, 2855, 15219, 8926, 538, 24412, 609, 18512, 2860, 543, 593, 713, 21849, 1543, 649, 2709, 513, 23499, 543, 24534, 4640, 547, 1344, 3621, 1416, 2223, 6941, 3220, 269, 700, 6759, 19649, 22513, 5451, 526, 14162, 269, 634, 2703, 814, 519, 5698, 540, 29801, 689, 519, 5053, 5980, 540, 6481, 2201, 19223, 630, 10345, 6865, 1070, 519, 5053, 5980, 540, 24658, 2201, 19223, 630, 10345, 3036, 264, 543, 519, 5053, 5980, 540, 12920, 26331, 543, 12920, 8839, 630, 10345, 295, 295, 1916, 4002, 519, 1114, 1688, 267, 519, 3864, 20840, 776, 2295, 681, 20263, 10500, 559, 2747, 630, 292, 295, 6938, 264, 814, 9250, 513, 2079, 1982, 267, 1710, 2331, 676, 513, 2462, 2883, 1439, 578, 618, 676, 519, 3864, 674, 2465, 3330, 519, 21222, 517, 476, 1708, 271, 1982, 267, 1282, 799, 476, 1691, 9988, 689, 9867, 3864, 3486, 6753, 1491, 851, 269, 968, 1607, 14679, 12346, 593, 519, 967, 529, 1584, 762, 1249, 602, 24412, 609, 693, 7434, 27417, 20746, 723, 9867, 32435, 885, 267, 28330, 547, 7929, 267, 14715, 10108, 267, 610, 2860, 267, 10838, 1866, 282, 865, 922, 1459, 7245, 949, 581, 1360, 27929, 543, 28537, 267, 9232, 338, 904, 3220, 269, 21280, 2946, 30511, 8585, 3626, 24510, 648, 985, 267, 7022, 3887, 937, 540, 519, 3864, 20840, 776, 2295, 681, 20263, 10500, 559, 2747, 563, 763, 14679, 1522, 581, 5645, 856, 538, 3875, 11775, 269, 634, 3119, 1522, 581, 8446, 540, 519, 1459, 9183, 543, 19518, 267, 799, 1522, 581, 5645, 856, 676, 17265, 543, 7421, 12240, 2907, 3489, 762, 269, 769, 513, 2034, 3942, 267, 7405, 630, 1952, 338, 267, 2121, 2959, 267, 543, 865, 8521, 4700, 1522, 581, 2919, 585, 513, 2347, 7245, 540, 891, 24412, 269, 1656, 538, 513, 10700, 851, 2015, 519, 2564, 543, 2883, 3310, 540, 519, 6388, 540, 891, 7405, 269, 0, 8368, 540, 12937, 454, 268, 476, 272, 1548, 941, 519, 476, 275, 1292, 4128, 585, 3864, 3408, 888, 268, 476, 273, 1548, 941, 519, 476, 274, 1292, 4128, 585, 3864, 3408, 888, 268, 476, 274, 1548, 616, 519, 476, 276, 4128, 585, 3408, 888, 268, 476, 275, 6904, 540, 891, 616, 2188, 602, 3361, 17417, 538, 519, 4639, 28851, 547, 946, 20665, 20338, 888, 268, 476, 276, 1548, 941, 519, 476, 273, 1292, 4128, 585, 3864, 3408, 888, 268, 476, 277, 1548, 941, 476, 277, 4128, 585, 3408, 888, 268, 476, 278, 4208, 1705, 519, 3864, 2477, 1616, 547, 2263, 519, 1715, 2622, 888, 268, 476, 279, 1548, 941, 519, 1614, 1292, 4128, 585, 3864, 17091, 888, 1432, 941, 519, 476, 275, 1292, 4128, 585, 3864, 3408, 888, 1805, 3994, 1851, 873, 616, 519, 9547, 540, 7279, 267, 519, 13287, 540, 4123, 267, 519, 3262, 540, 4984, 267, 543, 519, 7287, 585, 3354, 543, 2797, 1379, 269, 2311, 1114, 2053, 543, 538, 1114, 4025, 267, 1114, 24500, 616, 8789, 563, 1432, 941, 519, 476, 274, 1292, 4128, 585, 3864, 3408, 888, 26944, 2103, 3622, 5431, 1614, 24500, 585, 3864, 3408, 543, 17091, 538, 519, 1715, 2622, 281, 2696, 267, 4154, 267, 543, 18710, 563, 1432, 616, 519, 476, 275, 3864, 2477, 602, 3366, 519, 1259, 538, 3408, 888, 763, 6520, 540, 16709, 568, 2808, 547, 723, 7018, 6140, 609, 2185, 3864, 6082, 267, 799, 3769, 281, 17577, 267, 8050, 267, 5333, 543, 4789, 269, 3962, 540, 891, 2477, 4810, 519, 1482, 4229, 602, 14593, 873, 547, 2263, 519, 1158, 267, 855, 789, 849, 3838, 835, 1271, 8984, 563, 3963, 1705, 3864, 17701, 979, 4639, 888, 18439, 3464, 30774, 7178, 689, 2342, 538, 519, 476, 5611, 271, 338, 585, 1585, 4128, 269, 2311, 1101, 267, 17701, 941, 3168, 585, 513, 10156, 1216, 8905, 547, 5607, 269, 1358, 12479, 602, 789, 1131, 1265, 713, 8905, 676, 22892, 7178, 269, 1306, 519, 3864, 2477, 10645, 2244, 538, 519, 1715, 2622, 267, 713, 5795, 1004, 513, 4960, 547, 979, 972, 547, 3262, 8567, 563, 1432, 616, 519, 476, 276, 4128, 585, 3408, 888, 763, 18599, 30258, 585, 16709, 454, 268, 5623, 269, 634, 18599, 30258, 585, 16709, 563, 268, 4354, 6685, 269, 10812, 3464, 941, 8049, 827, 1114, 3338, 267, 2831, 267, 1004, 543, 5370, 563, 268, 2817, 29233, 269, 10812, 3464, 4941, 547, 1205, 811, 2244, 585, 741, 1753, 2197, 563, 268, 14568, 29665, 13705, 525, 563, 268, 14579, 6153, 338, 563, 7617, 540, 891, 616, 2188, 602, 3361, 17417, 538, 519, 4639, 28851, 547, 946, 20665, 20338, 888, 16269, 2877, 1082, 1004, 547, 960, 593, 741, 24914, 269, 789, 5828, 547, 20338, 1310, 4639, 28851, 25165, 5747, 538, 1804, 2338, 269, 1946, 1705, 3979, 18318, 2253, 5275, 811, 1004, 547, 17760, 1511, 286, 21570, 753, 4941, 547, 4444, 811, 1004, 563, 8005, 3366, 519, 1259, 538, 3864, 3408, 543, 1946, 888, 30265, 539, 609, 713, 1702, 267, 17577, 3366, 519, 1259, 269, 4438, 519, 476, 13893, 271, 338, 267, 12703, 25501, 1305, 13743, 543, 8268, 519, 3979, 5032, 20991, 982, 2479, 1354, 563, 1432, 941, 519, 2101, 476, 276, 3864, 2477, 602, 941, 3695, 888, 4322, 6082, 941, 17577, 267, 8050, 267, 4789, 267, 5333, 267, 543, 519, 13814, 563, 1432, 941, 519, 476, 273, 1292, 4128, 585, 3864, 3408, 888, 6124, 4123, 267, 543, 519, 3406, 585, 4154, 543, 14546, 941, 519, 1614, 1292, 24500, 3297, 2342, 779, 19818, 585, 3408, 543, 6602, 269, 11780, 609, 5607, 543, 4000, 729, 16756, 532, 267, 2342, 779, 4154, 3761, 729, 27071, 267, 543, 14546, 941, 3395, 538, 3747, 267, 16550, 2342, 547, 6494, 17701, 538, 3406, 540, 1007, 2200, 543, 4123, 563, 1432, 941, 476, 277, 4128, 585, 3408, 888, 1432, 616, 519, 3123, 585, 16709, 888, 268, 4354, 6685, 269, 1004, 9289, 945, 543, 1018, 3116, 729, 856, 972, 538, 519, 1158, 563, 268, 32100, 269, 1082, 1004, 8268, 538, 1931, 547, 1265, 741, 19539, 563, 268, 674, 877, 269, 930, 1004, 4941, 547, 979, 1524, 607, 513, 1390, 2012, 538, 1686, 563, 268, 2817, 11348, 563, 268, 14579, 6153, 338, 563, 268, 14568, 11780, 13705, 525, 563, 7617, 1592, 1655, 9356, 2101, 3864, 2601, 585, 23928, 519, 4639, 28851, 888, 7617, 1592, 1655, 9356, 2101, 3864, 4128, 585, 23928, 519, 4639, 28851, 286, 3406, 585, 5488, 11507, 547, 3624, 543, 9553, 19987, 1451, 811, 827, 519, 1158, 267, 1332, 10412, 267, 543, 3262, 8567, 1332, 6995, 267, 4001, 5065, 1004, 547, 1224, 267, 543, 3406, 585, 8988, 3406, 585, 4154, 267, 1628, 4123, 267, 543, 3132, 4006, 563, 1432, 1705, 519, 4639, 28851, 13143, 547, 3345, 3013, 888, 3528, 519, 476, 10082, 271, 338, 267, 4639, 4095, 1544, 1562, 941, 13143, 532, 5176, 476, 1911, 267, 1822, 9748, 540, 4006, 543, 476, 273, 2929, 17529, 540, 15555, 547, 6628, 543, 519, 3345, 1977, 10125, 267, 519, 5916, 1871, 540, 799, 6603, 3592, 11278, 275, 2929, 269, 634, 1964, 941, 21775, 547, 519, 22163, 10125, 538, 5385, 585, 29421, 267, 10286, 267, 7912, 267, 543, 6070, 3165, 563, 3963, 1705, 519, 3864, 2477, 1616, 547, 2263, 519, 1715, 2622, 888, 763, 3864, 2477, 1185, 1896, 4128, 585, 16462, 547, 2263, 519, 1715, 2622, 269, 2290, 540, 873, 729, 585, 4123, 269, 634, 17417, 4941, 547, 1265, 513, 10156, 4123, 8905, 547, 5607, 269, 1703, 941, 1004, 945, 5156, 602, 513, 10156, 4123, 8905, 1223, 581, 1336, 676, 22892, 7178, 563, 1432, 941, 519, 1614, 1292, 4128, 585, 3864, 17091, 888, 29619, 269, 16024, 2103, 3622, 5431, 1614, 24500, 585, 3864, 3408, 543, 17091, 538, 519, 1715, 2622, 281, 2696, 267, 4154, 267, 543, 18710, 269, 16241, 18144, 666, 581, 14360, 782, 519, 1259, 1394, 547, 519, 12724, 3547, 267, 519, 3126, 540, 3909, 10617, 1063, 519, 476, 1556, 628, 543, 476, 1428, 628, 5553, 1282, 799, 3864, 10271, 8179, 547, 3409, 13243, 607, 606, 454, 1432, 941, 519, 24500, 540, 3864, 17701, 538, 519, 17113, 888, 763, 3119, 24500, 540, 3864, 17701, 941, 2804, 269, 634, 3761, 540, 10475, 8407, 729, 13113, 267, 543, 16313, 338, 12479, 547, 1265, 1804, 12074, 540, 4154, 543, 8988, 538, 519, 17113, 269, 31035, 689, 519, 7872, 540, 14951, 267, 519, 3864, 6608, 6322, 547, 1265, 513, 8574, 998, 519, 17113, 547, 5607, 563, 1432, 941, 519, 4128, 585, 519, 2085, 540, 3408, 888, 30022, 8382, 269, 634, 4128, 3297, 519, 865, 10777, 3864, 968, 21848, 540, 16709, 892, 3769, 1085, 719, 532, 585, 4123, 11507, 267, 14236, 4914, 3338, 543, 16565, 5763, 269, 3509, 17701, 941, 849, 3168, 585, 7045, 267, 838, 13899, 593, 676, 8941, 540, 519, 4505, 25655, 30295, 547, 519, 1715, 2622, 269, 0, 12041, 281, 25424, 22084, 23331, 454, 8256, 550, 13333, 607, 519, 4493, 540, 519, 1514, 4579, 1369, 519, 2796, 540, 2797, 3069, 269, 1306, 513, 5837, 5748, 267, 9844, 6257, 519, 7271, 676, 799, 1863, 1004, 4283, 11650, 609, 519, 2229, 602, 11063, 519, 4483, 540, 2924, 7282, 2797, 13800, 269, 3117, 550, 532, 547, 2661, 896, 519, 16278, 540, 513, 1978, 1533, 14828, 922, 2229, 1978, 22864, 538, 707, 24705, 2590, 540, 2924, 547, 873, 267, 543, 519, 1367, 4991, 2640, 543, 2533, 689, 519, 1533, 538, 5385, 269, 7201, 17231, 519, 22597, 540, 9844, 267, 972, 616, 1079, 3982, 3029, 8385, 6829, 676, 3627, 28676, 538, 1010, 25761, 2048, 13553, 6164, 1047, 9957, 1452, 1079, 3029, 616, 2769, 610, 8763, 9844, 1107, 543, 267, 811, 7946, 6053, 1107, 512, 659, 527, 9844, 269, 29760, 593, 2048, 339, 659, 527, 9844, 685, 607, 621, 12211, 547, 519, 3652, 540, 513, 4182, 267, 594, 8044, 602, 512, 659, 527, 9844, 568, 7357, 796, 28300, 762, 585, 519, 3919, 540, 519, 2413, 1533, 269, 8616, 267, 922, 13210, 543, 4295, 1139, 657, 1431, 616, 267, 693, 519, 1360, 2547, 267, 25432, 30940, 543, 1522, 2154, 606, 16080, 25703, 540, 12406, 585, 2797, 17185, 630, 4820, 4602, 566, 538, 3540, 2486, 264, 3564, 9844, 563, 273, 269, 3117, 550, 543, 11621, 454, 1103, 4334, 547, 2769, 9844, 267, 799, 568, 2016, 998, 513, 2168, 957, 602, 25495, 519, 9844, 540, 513, 5428, 538, 606, 6876, 267, 512, 659, 527, 9844, 568, 3989, 607, 2048, 338, 559, 550, 685, 9844, 2016, 1510, 1022, 2168, 14751, 566, 630, 289, 3317, 9116, 267, 476, 3192, 280, 267, 533, 269, 476, 25375, 1040, 1280, 1383, 267, 4952, 513, 1126, 4535, 883, 513, 1978, 4182, 568, 3976, 8078, 730, 547, 1246, 519, 4031, 543, 6042, 540, 1767, 4182, 1510, 2479, 2348, 9308, 8815, 547, 519, 4182, 779, 4031, 269, 13751, 16159, 14332, 523, 5682, 6229, 14550, 519, 1383, 540, 513, 5067, 945, 814, 15110, 3959, 689, 1010, 4651, 269, 2755, 519, 4651, 931, 5034, 547, 1628, 1010, 3959, 1369, 519, 16278, 540, 835, 4182, 267, 1010, 5067, 3274, 4607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12312, 5500, 543, 1010, 4651, 1705, 711, 723, 513, 1434, 2078, 267, 543, 519, 15669, 729, 711, 1010, 7015, 779, 1183, 4177, 630, 2419, 11467, 267, 476, 1001, 276, 1916, 306, 517, 5500, 779, 2648, 585, 15690, 2575, 729, 513, 30411, 269, 1261, 729, 13730, 827, 519, 2575, 799, 19443, 1864, 547, 22036, 543, 7753, 7092, 269, 898, 729, 998, 15690, 2575, 602, 12312, 5500, 7608, 1010, 726, 697, 267, 7307, 547, 11883, 543, 5795, 1864, 513, 1065, 4471, 557, 269, 27227, 568, 513, 6041, 540, 875, 649, 7985, 267, 875, 649, 616, 9599, 267, 649, 7753, 543, 17636, 938, 2591, 269, 8535, 729, 1010, 31026, 527, 547, 25863, 269, 634, 1915, 540, 12312, 5500, 19595, 1004, 540, 741, 7092, 543, 6561, 269, 25930, 7773, 3096, 519, 1909, 540, 12312, 5500, 267, 1010, 8213, 267, 543, 1010, 13007, 547, 1448, 547, 1945, 811, 1713, 602, 729, 2921, 1747, 538, 519, 3979, 1977, 5980, 540, 1010, 942, 269, 31222, 729, 6353, 676, 10168, 267, 543, 3908, 3255, 543, 519, 7092, 28703, 676, 519, 2146, 607, 513, 1267, 540, 10168, 269, 4438, 519, 476, 4198, 271, 779, 8508, 6561, 538, 519, 2797, 6560, 729, 2629, 269, 898, 729, 1152, 676, 1620, 519, 2528, 602, 519, 1004, 1223, 1205, 608, 1529, 335, 566, 563, 14532, 540, 5794, 1467, 4985, 7910, 9533, 29617, 729, 8547, 538, 519, 1032, 476, 2735, 275, 269, 898, 2663, 862, 10642, 547, 2709, 922, 2533, 593, 476, 2420, 526, 4873, 476, 2735, 275, 269, 898, 568, 513, 3703, 29617, 269, 898, 3323, 922, 4238, 607, 3703, 9533, 5794, 1811, 676, 922, 27428, 3267, 309, 597, 6265, 268, 4263, 23007, 5025, 597, 6050, 2560, 5649, 9137, 454, 293, 1878, 634, 2140, 540, 519, 1404, 568, 513, 1129, 540, 519, 3119, 6249, 540, 875, 1004, 2149, 2933, 689, 4229, 3532, 982, 789, 616, 855, 15972, 741, 6068, 3283, 538, 519, 3347, 3475, 1862, 763, 25178, 268, 257, 293, 1878, 2580, 268, 2421, 5025, 1872, 755, 8862, 12291, 2560, 5649, 9137, 454, 4002, 20029, 476, 736, 267, 476, 1001, 275, 267, 606, 2376, 676, 5975, 8124, 623, 2884, 974, 7682, 539, 602, 519, 8337, 540, 519, 4541, 3618, 568, 3361, 676, 16851, 269, 4340, 547, 623, 2884, 974, 267, 513, 1867, 676, 519, 6167, 14368, 1670, 28007, 1560, 6659, 519, 15372, 540, 1164, 9830, 540, 8783, 8511, 575, 1862, 22479, 1388, 1143, 4211, 13415, 268, 20245, 5937, 600, 720, 2560, 5649, 9137, 0, 307, 17687, 543, 2450, 2039, 585, 519, 3560, 540, 11174, 1810, 4486, 781, 1274, 705, 29671, 16199, 3999, 529, 607, 514, 2088, 6931, 928, 454, 268, 6820, 6163, 454, 268, 29021, 910, 12370, 454, 290, 1243, 2053, 538, 2480, 22455, 454, 299, 633, 3560, 540, 11058, 30987, 1790, 22004, 11174, 1810, 4486, 781, 1274, 705, 29671, 16199, 3999, 529, 607, 514, 2088, 6931, 928, 729, 8947, 547, 6218, 519, 1198, 540, 6283, 593, 519, 6668, 540, 11174, 705, 29671, 269, 3244, 4327, 3560, 6901, 941, 5342, 547, 3313, 519, 3617, 2837, 1210, 476, 276, 267, 476, 1015, 543, 476, 736, 575, 700, 6629, 272, 540, 4672, 547, 2011, 4320, 585, 476, 279, 554, 543, 519, 3617, 2450, 1210, 1079, 2450, 2516, 630, 23917, 589, 267, 476, 1428, 1700, 736, 6515, 267, 476, 271, 269, 276, 1700, 272, 269, 274, 575, 267, 543, 12025, 645, 267, 476, 1789, 1700, 3374, 6515, 267, 476, 276, 269, 274, 1700, 279, 269, 276, 575, 264, 909, 547, 476, 2190, 3620, 856, 6361, 21226, 2661, 3560, 269, 27834, 729, 3648, 2362, 630, 303, 283, 271, 269, 9826, 264, 950, 476, 1015, 575, 700, 6629, 272, 540, 4672, 729, 1031, 547, 6175, 519, 2837, 547, 519, 2039, 540, 476, 1704, 1700, 2537, 11019, 290, 269, 2311, 713, 2837, 267, 1312, 2450, 2516, 16271, 547, 20533, 3560, 585, 476, 279, 543, 476, 1015, 554, 1185, 476, 1911, 260, 6668, 1310, 476, 4366, 554, 267, 1247, 9019, 7018, 538, 705, 531, 2158, 16271, 547, 476, 1626, 543, 476, 2190, 554, 540, 20533, 3560, 269, 634, 12025, 645, 705, 29671, 16271, 547, 476, 2190, 554, 540, 3560, 1185, 3648, 2362, 6668, 630, 5038, 269, 275, 13008, 476, 273, 269, 280, 8472, 630, 303, 283, 271, 269, 9826, 264, 982, 519, 12025, 589, 705, 29671, 630, 276, 269, 276, 13008, 476, 272, 269, 277, 8472, 1310, 476, 4366, 554, 269, 14970, 11174, 705, 29671, 941, 6707, 16487, 547, 519, 2361, 7311, 519, 10873, 2919, 538, 519, 2978, 4603, 269, 901, 1353, 5713, 607, 513, 3391, 585, 7829, 543, 11288, 2661, 11174, 705, 29671, 563, 31807, 523, 27138, 3464, 7699, 267, 590, 269, 631, 269, 589, 1421, 1299, 700, 8775, 1407, 324, 267, 717, 269, 630, 1001, 272, 1040, 18323, 543, 2450, 2039, 585, 519, 3560, 540, 11174, 1810, 4486, 781, 1274, 705, 29671, 16199, 3999, 529, 607, 514, 2088, 6931, 928, 563, 288, 638, 20628, 3194, 267, 476, 5655, 263, 279, 1070, 476, 6344, 277, 268, 13199, 274, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 15793, 276, 268, 13975, 280, 269, 1001, 271, 269, 271, 2767, 1321, 11859, 454, 268, 4750, 15080, 3097, 4537, 12976, 3688, 1644, 676, 2140, 267, 2278, 267, 17082, 543, 1641, 563, 18128, 1828, 540, 11646, 2450, 1369, 519, 12593, 16199, 3999, 529, 630, 309, 564, 580, 770, 1886, 18649, 281, 16199, 3999, 13160, 264, 1520, 25764, 267, 13573, 320, 282, 19966, 328, 267, 918, 1846, 583, 25493, 282, 632, 3288, 3212, 29823, 267, 6660, 698, 4592, 681, 5919, 5651, 12011, 4821, 267, 1744, 12584, 8123, 282, 21411, 636, 3120, 267, 1530, 328, 16927, 14024, 630, 13233, 26425, 325, 8718, 625, 5948, 267, 476, 1001, 279, 264, 7049, 727, 2450, 630, 290, 17032, 264, 543, 519, 6871, 540, 20722, 710, 543, 555, 2096, 710, 22951, 1938, 538, 519, 11646, 630, 2969, 1543, 264, 616, 4909, 4162, 540, 1169, 2249, 267, 543, 1360, 1271, 6724, 538, 7636, 11118, 21925, 543, 18105, 8328, 4429, 288, 4472, 821, 6079, 2504, 543, 2528, 29635, 495, 501, 26033, 483, 21251, 13107, 492, 630, 288, 638, 20628, 4972, 267, 14913, 7489, 30656, 4886, 4741, 267, 476, 1220, 271, 264, 19547, 5661, 519, 1382, 5342, 693, 589, 304, 291, 585, 519, 9341, 705, 29671, 16199, 3999, 529, 607, 514, 2088, 269, 589, 304, 291, 814, 2919, 519, 25229, 9323, 540, 513, 11058, 30987, 7014, 563, 24066, 6672, 540, 31893, 27995, 25132, 691, 545, 3634, 2732, 607, 4244, 1426, 538, 705, 29671, 11058, 30987, 281, 12186, 540, 31893, 9830, 543, 8023, 12451, 645, 2246, 16695, 6874, 518, 3241, 267, 3733, 337, 3534, 715, 5919, 632, 3288, 3212, 29823, 267, 6660, 698, 4592, 681, 5919, 1306, 583, 8759, 267, 1323, 531, 2106, 808, 269, 630, 13233, 26425, 325, 8718, 625, 5948, 267, 476, 1001, 274, 264, 763, 2773, 540, 606, 31893, 27995, 25132, 691, 545, 3634, 2732, 630, 288, 5336, 11520, 264, 729, 11117, 593, 8023, 2022, 24882, 1998, 705, 29671, 16199, 3999, 529, 607, 514, 2088, 267, 2519, 593, 519, 2360, 540, 31893, 9830, 543, 8023, 12451, 269, 30038, 1998, 705, 29671, 267, 5833, 3267, 0, 5715, 592, 3101, 538, 1554, 323, 3195, 16297, 338, 835, 779, 3007, 689, 519, 1459, 543, 607, 1483, 607, 621, 949, 3100, 267, 922, 2619, 998, 519, 2634, 8255, 6587, 4641, 563, 4415, 606, 2832, 547, 2697, 15768, 8849, 11387, 267, 3173, 693, 519, 2160, 540, 16855, 1700, 32743, 2581, 723, 1044, 2111, 547, 3950, 5122, 2534, 538, 519, 12058, 540, 1004, 945, 3124, 2299, 16545, 10207, 610, 14478, 7044, 543, 1265, 602, 4641, 543, 9345, 2095, 538, 6587, 8846, 538, 519, 2634, 563, 28317, 2731, 1271, 1966, 538, 2634, 1382, 568, 1620, 875, 1114, 2694, 540, 519, 2634, 616, 1599, 958, 4448, 269, 1548, 2127, 616, 15025, 286, 1548, 568, 519, 4287, 540, 2792, 9495, 3081, 31550, 11709, 966, 8696, 267, 513, 772, 310, 5336, 611, 2581, 7548, 540, 5122, 543, 2780, 4702, 269, 968, 2171, 917, 602, 519, 2634, 1281, 711, 1599, 607, 513, 1305, 540, 4830, 2127, 267, 855, 607, 513, 3060, 540, 7463, 2127, 602, 12840, 3034, 763, 1353, 729, 3370, 538, 519, 4760, 11671, 15862, 538, 4745, 4674, 609, 16902, 592, 1470, 29139, 18223, 267, 513, 772, 310, 5336, 611, 2581, 2618, 17226, 7548, 543, 5778, 27023, 626, 267, 12253, 320, 19239, 4815, 267, 513, 10196, 693, 772, 310, 1700, 32743, 2581, 779, 654, 15308, 534, 4741, 267, 543, 3523, 2209, 689, 519, 2160, 540, 17389, 613, 538, 19934, 563, 5445, 4126, 519, 1353, 1223, 5555, 581, 513, 24891, 547, 3384, 1007, 2645, 547, 948, 1018, 4523, 538, 519, 2634, 1282, 3207, 269, 31550, 11709, 966, 8696, 13922, 547, 4019, 519, 1353, 779, 1007, 2409, 547, 1174, 875, 519, 2634, 3096, 5121, 547, 31391, 2110, 3856, 3965, 563, 2691, 835, 18656, 2471, 538, 9345, 267, 972, 568, 606, 2333, 538, 519, 2095, 540, 1344, 689, 519, 533, 926, 13926, 27914, 540, 519, 2634, 1107, 519, 27914, 693, 519, 1283, 540, 519, 2212, 602, 2882, 2127, 7255, 609, 519, 21200, 543, 9756, 540, 10444, 1344, 1107, 547, 519, 1624, 760, 1388, 27914, 1107, 519, 556, 1301, 739, 27914, 269, 769, 2110, 267, 519, 2095, 540, 1344, 689, 513, 2362, 19195, 3148, 547, 513, 2539, 19195, 454, 4913, 267, 950, 3308, 1344, 568, 3144, 538, 676, 519, 4064, 267, 621, 11148, 547, 2095, 689, 519, 1624, 760, 1388, 27914, 909, 547, 519, 533, 926, 13926, 27914, 563, 29467, 4667, 547, 581, 513, 2603, 538, 938, 12058, 543, 3662, 12058, 602, 568, 4287, 531, 267, 602, 8849, 6786, 1847, 538, 513, 1880, 4287, 267, 1287, 3247, 267, 543, 1376, 12341, 3116, 2223, 3081, 11709, 966, 8696, 269, 968, 296, 1589, 713, 568, 2731, 513, 1007, 6249, 602, 1185, 711, 1044, 8268, 3034, 763, 3173, 17908, 519, 1379, 540, 6850, 775, 13921, 2762, 630, 7417, 294, 264, 799, 3096, 21435, 547, 2268, 5122, 2534, 538, 1114, 2694, 540, 519, 2634, 1107, 547, 5806, 3729, 1063, 1114, 2694, 540, 519, 2634, 779, 3060, 269, 661, 9680, 5638, 2238, 538, 519, 2634, 602, 616, 711, 8209, 1644, 547, 513, 1880, 1184, 3173, 1616, 547, 1353, 563, 2414, 1445, 593, 513, 1305, 540, 3077, 11387, 267, 519, 3173, 4280, 519, 5171, 547, 4585, 2110, 3381, 24056, 1354, 3843, 547, 556, 2452, 519, 2962, 689, 3965, 538, 741, 9843, 267, 1247, 1866, 941, 4280, 547, 4952, 10707, 593, 513, 9059, 17919, 2443, 2519, 593, 519, 3877, 540, 5546, 267, 4778, 543, 18282, 2443, 1354, 8384, 513, 2110, 3381, 540, 14980, 2470, 10207, 563, 8794, 606, 5690, 11709, 966, 8696, 2919, 547, 20272, 519, 2143, 661, 9680, 1239, 267, 519, 3173, 941, 2111, 547, 29289, 2178, 2963, 540, 519, 4287, 531, 2095, 540, 1344, 563, 14071, 941, 1360, 5461, 538, 7487, 952, 938, 5365, 3491, 22422, 2409, 941, 6213, 2614, 547, 5806, 3729, 1063, 891, 2175, 2223, 3081, 11709, 966, 8696, 267, 4171, 960, 568, 6462, 676, 519, 2817, 4659, 540, 4437, 32441, 24919, 543, 12713, 30261, 269, 968, 4322, 2010, 540, 23405, 616, 1271, 585, 11543, 6015, 538, 1007, 2645, 3034, 25802, 4277, 256, 8729, 585, 9683, 1250, 5816, 269, 589, 536, 1304, 20110, 339, 454, 296, 18085, 948, 11842, 952, 519, 2175, 540, 519, 1353, 1185, 606, 1198, 269, 1403, 1004, 941, 4280, 547, 4952, 1945, 267, 1775, 4318, 269, 513, 11913, 6044, 729, 2016, 267, 602, 9623, 1131, 2097, 538, 998, 519, 17391, 16794, 865, 621, 1131, 723, 547, 2095, 1394, 547, 519, 1624, 760, 1388, 547, 13442, 3308, 10207, 269, 1703, 779, 4277, 960, 602, 814, 1044, 2944, 540, 519, 1259, 538, 799, 519, 946, 540, 1893, 25437, 721, 883, 1978, 2081, 540, 6544, 1516, 519, 1158, 267, 543, 9673, 1206, 938, 9345, 543, 14694, 3206, 269, 2368, 1131, 8044, 602, 547, 1863, 909, 519, 9345, 649, 1058, 581, 17034, 519, 3308, 16794, 1454, 811, 563, 3383, 9345, 568, 513, 2362, 1931, 1599, 982, 8226, 1107, 4277, 563, 12552, 585, 16069, 676, 256, 9462, 30904, 454, 2026, 649, 1174, 865, 2370, 827, 713, 5863, 1418, 267, 782, 1353, 11341, 547, 922, 3252, 568, 547, 581, 20888, 563, 6546, 779, 1318, 269, 594, 4898, 952, 519, 8367, 602, 3425, 946, 1152, 476, 1015, 260, 540, 519, 2634, 568, 3020, 563, 15517, 532, 9462, 30904, 11289, 596, 267, 609, 1250, 2648, 267, 562, 807, 454, 10908, 611, 596, 10150, 621, 269, 9462, 30904, 454, 296, 3055, 602, 9345, 543, 4641, 2095, 538, 1114, 8846, 269, 1530, 2114, 972, 814, 547, 581, 606, 10167, 540, 519, 1079, 585, 812, 547, 581, 3860, 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 ]
[ 9140, 270, 18522, 257, 5967, 2243, 267, 3070, 666, 581, 1336, 1934, 281, 26228, 2582, 5498, 961, 7443, 692, 8894, 31800, 1695, 32586, 3095, 568, 865, 3730, 269, 1107, 1109, 561, 6359, 10224, 2993, 340, 4924, 476, 2420, 1412, 1724, 693, 476, 280, 281, 2767, 454, 18606, 21504, 11979, 703, 3193, 291, 1886, 17301, 26514, 6783, 264, 346, 692, 842, 3193, 291, 1886, 815, 271, 267, 17840, 284, 271, 267, 2381, 284, 6783, 314, 271, 316, 16963, 1721, 17301, 1775, 284, 272, 282, 328, 283, 6783, 32324, 282, 328, 10030, 264, 346, 692, 604, 263, 6783, 5157, 316, 283, 2381, 264, 19127, 2381, 284, 6783, 5157, 30092, 10926, 17840, 815, 5044, 5157, 316, 268, 2381, 16963, 604, 5560, 1886, 285, 10946, 291, 1886, 264, 19127, 10946, 291, 1886, 284, 17840, 3248, 10926, 10926, 21902, 269, 719, 31428, 15238, 32384, 291, 1886, 11850, 8873, 3193, 291, 1886, 16963, 8679, 18606, 454, 7042, 296, 666, 1152, 1589, 540, 744, 3799, 331, 1758, 264, 855, 713, 835, 1256, 1498, 1482, 6988, 1058, 581, 5488, 1287, 18570, 543, 4466, 519, 4102, 6749, 780, 1432, 596, 666, 798, 568, 547, 5173, 519, 3604, 540, 519, 15654, 2338, 538, 744, 3799, 264, 543, 1287, 519, 1966, 1131, 581, 4389, 547, 4466, 519, 10790, 311, 4433, 636, 264, 540, 6024, 1016, 5044, 799, 1131, 581, 744, 3799, 331, 1758, 2020, 8894, 1607, 3085, 1405, 960, 950, 972, 568, 513, 737, 1063, 1775, 266, 272, 543, 795, 609, 5044, 25208, 316, 3436, 5044, 25208, 268, 272, 316, 1107, 1109, 808, 839, 5576, 7596, 518, 4924, 476, 2420, 1412, 1724, 693, 476, 279, 281, 6078, 454, 8133, 621, 786, 607, 596, 666, 1039, 11196, 264, 1297, 543, 2569, 519, 2040, 269, 2334, 568, 1946, 621, 568, 744, 3799, 331, 1758, 3738, 543, 711, 744, 3799, 264, 596, 991, 547, 621, 4733, 998, 519, 2898, 5044, 269, 1656, 12517, 1946, 519, 1524, 8686, 1774, 286, 1107, 1109, 15306, 3000, 330, 4924, 476, 2420, 1412, 1724, 693, 476, 279, 281, 4366, 0, 258, 769, 11437, 26306, 543, 769, 11437, 17781, 692, 1103, 519, 4137, 267, 744, 568, 8998, 540, 5858, 267, 20525, 815, 476, 275, 4559, 267, 744, 304, 815, 476, 279, 4559, 543, 20525, 262, 815, 476, 1626, 4559, 267, 2328, 519, 6935, 1063, 623, 543, 623, 262, 780, 11693, 2676, 8008, 815, 476, 275, 4559, 267, 744, 304, 815, 476, 279, 4559, 267, 20525, 262, 815, 476, 1626, 4559, 692, 3086, 267, 1284, 723, 267, 20525, 6398, 20525, 262, 815, 744, 304, 273, 610, 267, 476, 275, 6398, 476, 1626, 815, 476, 11025, 454, 810, 269, 476, 5038, 815, 476, 5038, 692, 2005, 568, 899, 20525, 6398, 20525, 262, 815, 678, 273, 269, 1924, 623, 262, 568, 538, 11437, 1448, 540, 623, 543, 13030, 268, 951, 320, 609, 2463, 547, 519, 5858, 780, 8340, 519, 11201, 3239, 540, 519, 1448, 630, 275, 267, 476, 276, 264, 609, 2463, 547, 519, 5858, 1535, 273, 1341, 586, 273, 815, 476, 1015, 692, 2080, 2676, 28495, 516, 540, 519, 5858, 815, 630, 271, 267, 476, 271, 994, 20238, 3780, 540, 519, 5858, 630, 337, 264, 815, 476, 1015, 4559, 454, 30606, 1448, 623, 3287, 267, 586, 264, 815, 630, 275, 267, 476, 276, 994, 1103, 11437, 1448, 623, 21948, 343, 3299, 586, 10807, 815, 26042, 2171, 917, 602, 2676, 3287, 3299, 586, 10807, 815, 1269, 7268, 2765, 346, 337, 3867, 273, 26507, 2410, 343, 3867, 273, 348, 22773, 1341, 22773, 586, 3867, 273, 3686, 267, 1422, 2765, 346, 337, 3867, 273, 348, 344, 2410, 343, 317, 273, 22773, 1341, 22773, 586, 317, 273, 348, 7751, 815, 1269, 7268, 2765, 18950, 1015, 22722, 273, 348, 1422, 9392, 476, 275, 2410, 275, 3867, 273, 348, 22773, 1341, 22773, 476, 276, 3867, 273, 3686, 267, 1422, 2765, 18950, 1015, 22722, 273, 348, 1422, 9392, 476, 276, 2410, 275, 317, 273, 22773, 1341, 22773, 476, 276, 317, 273, 348, 7751, 454, 284, 1269, 7268, 2765, 346, 6110, 2410, 6078, 9574, 1422, 2765, 346, 4335, 2410, 6078, 16585, 6911, 17798, 267, 519, 11201, 540, 519, 1448, 630, 275, 267, 476, 276, 264, 609, 2463, 547, 2016, 5858, 568, 630, 343, 3299, 586, 10807, 815, 1269, 7268, 2765, 346, 6110, 2410, 6078, 9574, 1422, 2765, 346, 4335, 2410, 6078, 16585, 6911, 8340, 519, 11201, 3239, 540, 519, 1448, 630, 274, 267, 476, 275, 264, 827, 519, 5858, 630, 343, 910, 476, 273, 264, 273, 1341, 630, 344, 910, 476, 273, 264, 273, 815, 476, 3607, 780, 2080, 2676, 28495, 516, 540, 5858, 630, 327, 267, 737, 264, 815, 630, 273, 267, 476, 273, 994, 20238, 3780, 540, 519, 5858, 630, 337, 264, 815, 476, 277, 4559, 8629, 1448, 630, 343, 267, 586, 264, 815, 630, 274, 267, 476, 275, 994, 1103, 11437, 1448, 630, 343, 3299, 586, 10807, 815, 26042, 3086, 267, 649, 917, 2676, 3287, 3299, 586, 10807, 815, 1269, 7268, 2765, 346, 337, 3867, 273, 12917, 343, 910, 554, 20972, 263, 343, 910, 554, 22722, 273, 348, 22773, 1341, 22773, 630, 344, 910, 737, 22722, 273, 3686, 1341, 554, 267, 1422, 2765, 346, 337, 3867, 273, 12917, 344, 910, 737, 20972, 263, 343, 910, 554, 22722, 273, 348, 22773, 1341, 22773, 630, 344, 910, 737, 22722, 273, 3686, 1341, 737, 7751, 815, 1269, 7268, 2765, 346, 3607, 263, 274, 910, 476, 273, 20972, 263, 274, 910, 476, 273, 22722, 273, 348, 22773, 1341, 22773, 630, 275, 910, 476, 273, 22722, 273, 3686, 1341, 476, 273, 267, 1422, 2765, 346, 3607, 263, 275, 910, 476, 273, 20972, 263, 274, 910, 476, 273, 22722, 273, 348, 22773, 1341, 22773, 630, 275, 910, 476, 273, 22722, 273, 3686, 1341, 476, 273, 7751, 454, 284, 1269, 7268, 2765, 346, 3607, 2410, 276, 348, 1341, 476, 273, 267, 1422, 2765, 346, 7761, 2410, 276, 348, 1341, 476, 273, 7751, 454, 284, 1269, 7268, 2765, 346, 5379, 2410, 276, 9574, 1422, 2765, 346, 11025, 2410, 276, 16585, 6911, 17798, 267, 1269, 7268, 2765, 346, 5379, 2410, 276, 9574, 1422, 2765, 346, 11025, 2410, 276, 348, 7751, 568, 519, 2838, 3239, 540, 519, 1448, 630, 274, 267, 476, 275, 264, 827, 519, 2016, 5858, 269, 0, 258, 29892, 609, 519, 2349, 5255, 1975, 1877, 692, 2162, 1215, 649, 1500, 513, 3014, 540, 1565, 1627, 889, 1080, 692, 780, 4263, 519, 1376, 540, 938, 3460, 649, 941, 1565, 827, 844, 23605, 267, 543, 2596, 4238, 593, 873, 269, 589, 844, 4226, 630, 528, 1627, 4226, 264, 568, 513, 7061, 3787, 269, 2755, 513, 3339, 3787, 568, 6719, 607, 513, 2241, 835, 610, 4642, 267, 513, 1627, 4226, 568, 519, 1533, 540, 513, 7061, 9325, 267, 543, 3976, 814, 2706, 6570, 269, 901, 1797, 621, 666, 9468, 519, 2230, 1063, 835, 543, 4642, 269, 901, 1950, 1533, 666, 581, 6719, 538, 6266, 540, 1114, 2081, 780, 2690, 1383, 267, 513, 2241, 3490, 968, 271, 892, 666, 581, 3254, 607, 607, 519, 2040, 540, 968, 298, 338, 6100, 901, 3081, 281, 968, 763, 1533, 568, 1500, 540, 835, 2603, 540, 4642, 267, 543, 1100, 3283, 14325, 347, 395, 484, 285, 815, 476, 272, 347, 271, 285, 1341, 476, 271, 3040, 1923, 272, 285, 692, 2080, 621, 568, 607, 513, 2582, 11337, 695, 2180, 663, 269, 901, 3081, 281, 968, 2005, 779, 782, 1500, 540, 519, 4642, 1533, 14325, 347, 271, 285, 692, 2080, 621, 568, 607, 513, 6152, 269, 634, 1101, 4737, 568, 519, 2179, 540, 4642, 649, 723, 630, 821, 264, 543, 519, 2034, 568, 519, 2179, 540, 835, 649, 723, 630, 14706, 6393, 347, 272, 2008, 347, 271, 2008, 2080, 621, 568, 607, 513, 2349, 5255, 1975, 1877, 269, 901, 568, 4440, 519, 1034, 1455, 3308, 5314, 649, 946, 269, 634, 2179, 540, 540, 519, 4642, 1533, 543, 519, 835, 1533, 649, 723, 616, 1312, 1950, 2338, 269, 1358, 723, 1483, 543, 16494, 2694, 269, 5565, 2338, 609, 1079, 5232, 540, 5191, 1797, 476, 275, 5232, 540, 5191, 630, 528, 513, 476, 275, 291, 1297, 952, 596, 786, 1040, 1717, 267, 1317, 519, 10945, 540, 891, 2338, 1590, 1039, 909, 547, 835, 267, 649, 6336, 513, 4110, 540, 5191, 267, 543, 666, 16081, 713, 476, 275, 291, 1297, 883, 968, 274, 291, 892, 2230, 543, 2721, 621, 607, 2798, 593, 519, 2627, 540, 513, 12106, 780, 763, 811, 649, 798, 557, 883, 713, 519, 9875, 543, 1447, 16022, 621, 2968, 585, 2780, 3744, 899, 721, 269, 1215, 267, 585, 1383, 267, 798, 596, 1205, 689, 519, 1923, 395, 484, 285, 815, 14668, 1892, 347, 271, 285, 1341, 16061, 1892, 1923, 272, 285, 476, 1109, 10517, 19948, 547, 2324, 856, 519, 7285, 16564, 543, 26420, 538, 519, 1025, 5255, 12106, 2496, 296, 4465, 1406, 4734, 596, 16304, 267, 1317, 649, 1185, 547, 960, 621, 856, 6000, 1310, 711, 4466, 621, 9170, 649, 22646, 1384, 394, 502, 815, 476, 273, 6523, 268, 272, 263, 10382, 2020, 663, 692, 395, 484, 815, 2845, 263, 15512, 4882, 514, 263, 394, 502, 270, 273, 4297, 270, 328, 692, 10190, 621, 2501, 942, 585, 17747, 27176, 267, 799, 616, 5276, 7851, 602, 596, 4019, 547, 513, 1627, 4226, 269, 1280, 1383, 267, 519, 6754, 328, 27176, 1384, 763, 1259, 891, 19235, 616, 4294, 568, 547, 9062, 873, 676, 519, 1627, 23605, 685, 6152, 269, 1358, 616, 4330, 693, 476, 5197, 24266, 32186, 1472, 519, 2473, 267, 312, 267, 313, 7852, 540, 519, 2349, 5255, 12106, 269, 31453, 602, 779, 711, 4010, 3020, 780, 2791, 1294, 267, 519, 2349, 5255, 12106, 568, 513, 2731, 3730, 9114, 269, 898, 779, 513, 1259, 540, 16081, 2719, 513, 1297, 609, 5232, 540, 5191, 883, 476, 274, 291, 2230, 267, 799, 1797, 621, 1281, 9490, 1919, 780, 4131, 779, 1491, 519, 2473, 267, 312, 19235, 585, 1383, 269, 1403, 789, 941, 3020, 476, 5197, 24266, 32186, 607, 596, 941, 24584, 267, 1287, 1923, 271, 285, 630, 338, 1817, 628, 663, 585, 4642, 264, 1131, 16212, 1923, 272, 285, 630, 338, 1817, 628, 663, 585, 835, 264, 543, 13030, 17930, 269, 634, 2473, 10766, 1281, 713, 282, 1134, 2944, 2473, 10766, 269, 634, 962, 10766, 267, 2705, 267, 1166, 2354, 1923, 271, 285, 547, 1923, 328, 285, 630, 19960, 2435, 835, 6393, 1607, 568, 782, 2731, 14845, 267, 543, 649, 786, 581, 1603, 930, 4930, 827, 621, 538, 519, 2282, 2104, 547, 2491, 621, 269, 9406, 1631, 2705, 267, 649, 1616, 1397, 596, 519, 1907, 649, 3710, 547, 948, 721, 1174, 621, 782, 780, 1607, 729, 3710, 538, 30767, 274, 291, 693, 22126, 779, 24021, 15306, 6997, 338, 269, 898, 4564, 519, 1627, 4226, 24323, 607, 1079, 1950, 2338, 267, 543, 1287, 18922, 713, 883, 476, 274, 291, 27515, 865, 596, 666, 14650, 1018, 593, 3618, 568, 2469, 593, 1247, 693, 519, 1482, 942, 13156, 519, 13004, 1498, 519, 30892, 780, 2252, 596, 1616, 547, 4647, 543, 1404, 609, 621, 267, 519, 1857, 575, 603, 889, 568, 1934, 1384, 2971, 717, 342, 1176, 332, 6124, 2023, 270, 7922, 5255, 8967, 1877, 18439, 337, 7042, 288, 476, 274, 291, 30767, 13335, 585, 2324, 609, 2349, 5255, 1975, 12742, 1107, 717, 342, 1176, 332, 6124, 2023, 270, 7922, 5255, 8967, 1877, 18439, 337, 7042, 2171, 849, 723, 513, 3381, 540, 621, 2962, 1384, 28095, 5403, 692, 9202, 5403, 692, 5415, 16743, 2984, 692, 2162, 27975, 569, 13128, 1505, 585, 7347, 2085, 11144, 692, 1103, 24021, 5303, 267, 649, 616, 7683, 2324, 593, 1007, 1382, 3785, 1472, 3354, 543, 1979, 6248, 338, 269, 4595, 3735, 2063, 1032, 267, 594, 6170, 930, 942, 15388, 2085, 11144, 1644, 2042, 1210, 1979, 6248, 338, 269, 2290, 540, 519, 4277, 2042, 609, 2085, 11144, 729, 547, 1711, 2085, 27636, 2592, 609, 29473, 7501, 543, 538, 1114, 2085, 10616, 585, 3068, 5396, 540, 31218, 0, 13425, 719, 808, 7417, 10790, 27486, 476, 1708, 273, 7726, 7433, 5811, 2433, 6744, 719, 808, 7417, 10790, 27486, 476, 1708, 273, 7726, 7433, 5811, 23241, 258, 4787, 760, 25478, 692, 20597, 760, 10203, 9388, 609, 10203, 676, 513, 1297, 267, 824, 982, 476, 272, 269, 1280, 1383, 267, 18178, 1293, 676, 476, 273, 267, 18178, 1293, 676, 476, 274, 267, 18178, 1293, 676, 476, 276, 267, 476, 1015, 610, 476, 1911, 269, 4787, 760, 10203, 568, 6026, 547, 721, 538, 938, 3119, 5049, 1247, 1565, 10203, 2338, 269, 898, 2337, 3214, 547, 1293, 519, 3615, 3533, 780, 763, 2101, 3498, 540, 18178, 10203, 568, 519, 8691, 7515, 610, 23385, 540, 2338, 267, 1141, 649, 18178, 1293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1522, 1267, 538, 10877, 26105, 610, 2178, 3141, 3441, 267, 799, 1860, 519, 13412, 26939, 538, 519, 2960, 543, 2014, 2085, 9634, 593, 519, 3141, 7721, 12723, 2127, 263, 821, 540, 519, 1455, 4191, 540, 30333, 1916, 268, 18726, 2175, 268, 589, 4719, 10638, 899, 1322, 4997, 949, 1267, 538, 16349, 30333, 563, 268, 13262, 1700, 1403, 513, 1268, 568, 896, 2566, 782, 519, 942, 267, 789, 949, 1376, 547, 8858, 16349, 30333, 4191, 269, 17859, 267, 2566, 12153, 519, 12982, 6114, 267, 799, 2164, 538, 2038, 32060, 543, 3819, 2960, 563, 268, 25003, 1700, 25003, 5540, 20018, 543, 1714, 770, 514, 1107, 519, 26939, 602, 1450, 707, 2960, 22786, 543, 21755, 269, 5015, 267, 15522, 562, 541, 4900, 707, 1973, 8043, 267, 799, 11081, 519, 2179, 540, 1973, 602, 666, 3914, 707, 8219, 454, 1692, 6496, 7502, 10402, 13870, 21079, 538, 519, 10610, 888, 17686, 10402, 568, 513, 32248, 3940, 1336, 538, 519, 2960, 269, 898, 6411, 607, 606, 23287, 602, 2636, 519, 1560, 547, 2226, 922, 3337, 269, 4746, 267, 621, 3889, 519, 2960, 676, 1119, 532, 909, 8031, 543, 2281, 269, 7502, 10402, 26939, 22285, 519, 1196, 12715, 585, 1714, 770, 514, 543, 1728, 531, 584, 4577, 3679, 269, 1452, 26939, 616, 3743, 585, 519, 22786, 540, 2960, 1107, 543, 20697, 563, 2026, 596, 2085, 267, 707, 1560, 6238, 10451, 1447, 2067, 20018, 1107, 543, 5956, 547, 3500, 269, 4935, 267, 1591, 3889, 1205, 18604, 269, 1306, 513, 1267, 267, 519, 2960, 3587, 25182, 543, 5956, 547, 29345, 269, 634, 2530, 540, 2504, 540, 20018, 1310, 513, 1978, 2085, 11148, 547, 23743, 548, 5250, 543, 3819, 2960, 563, 1692, 547, 6356, 1947, 28509, 519, 20050, 540, 6520, 532, 593, 16164, 888, 21982, 1416, 540, 707, 2960, 3330, 856, 568, 519, 1101, 1900, 2509, 8236, 707, 3804, 269, 1677, 3927, 4383, 519, 4191, 540, 30333, 267, 782, 596, 991, 568, 606, 19993, 20018, 1377, 267, 513, 2973, 543, 2030, 2861, 2732, 267, 19872, 2960, 267, 2566, 6954, 267, 543, 3207, 2914, 749, 1272, 269, 5015, 267, 1697, 21455, 585, 519, 2960, 666, 3927, 4383, 519, 4191, 540, 30333, 563, 12234, 267, 596, 949, 849, 991, 547, 1246, 930, 3800, 547, 2061, 891, 16349, 30333, 4191, 912, 268, 14568, 12008, 6208, 1700, 5269, 513, 4356, 540, 12008, 693, 2547, 476, 279, 3108, 513, 1554, 1107, 607, 621, 25242, 1591, 8647, 563, 268, 3399, 10438, 513, 2030, 2861, 2732, 1152, 1107, 5901, 513, 2834, 2638, 593, 8726, 596, 3548, 269, 2659, 2732, 4249, 606, 1271, 1909, 538, 16349, 30333, 269, 3680, 4189, 2706, 11656, 1426, 607, 621, 1447, 839, 519, 2504, 540, 20018, 563, 268, 3117, 2541, 23520, 10216, 779, 7502, 10402, 12706, 518, 585, 1732, 7502, 10402, 2504, 1700, 1403, 596, 1616, 513, 476, 1911, 260, 2067, 543, 20757, 8905, 547, 1628, 20018, 6923, 538, 519, 1560, 596, 1058, 2015, 744, 313, 10216, 7502, 10402, 12706, 518, 269, 898, 2501, 609, 19315, 27940, 2173, 1415, 1072, 2640, 269, 634, 744, 313, 10216, 7502, 10402, 12706, 518, 2337, 2226, 2635, 2157, 540, 7502, 10402, 267, 23715, 11294, 267, 543, 4432, 770, 514, 1107, 476, 274, 1898, 5946, 602, 2087, 519, 2960, 779, 2067, 16657, 563, 268, 10281, 3433, 707, 2960, 5781, 547, 2057, 30333, 1700, 10281, 3433, 707, 3068, 593, 513, 2834, 4493, 267, 607, 621, 2337, 16138, 880, 519, 2960, 1732, 269, 1306, 596, 1332, 4587, 267, 519, 2960, 3587, 5671, 518, 269, 901, 568, 1813, 547, 519, 2530, 540, 20018, 538, 519, 1560, 269, 1306, 513, 1267, 267, 707, 2960, 568, 12155, 547, 32060, 269, 1677, 2057, 971, 25096, 267, 596, 949, 1904, 585, 519, 744, 313, 10216, 15272, 4432, 1460, 597, 5395, 636, 269, 898, 2337, 1832, 707, 11132, 2960, 19872, 543, 7677, 8460, 606, 14678, 4195, 16657, 267, 1247, 849, 4543, 547, 2569, 1346, 26240, 5652, 32060, 563, 290, 14563, 609, 519, 13262, 832, 540, 6520, 532, 454, 10214, 952, 835, 6499, 547, 2057, 3478, 4587, 267, 4986, 666, 4625, 2061, 621, 269, 898, 666, 581, 811, 5739, 547, 5706, 610, 20912, 30333, 982, 547, 1450, 621, 547, 2049, 269, 9861, 2111, 547, 9784, 543, 3398, 602, 30333, 568, 513, 2067, 1184, 666, 948, 8396, 519, 21500, 2404, 609, 30333, 543, 1450, 596, 547, 1205, 513, 2635, 16657, 2429, 707, 476, 736, 338, 267, 476, 1789, 338, 543, 476, 2412, 338, 454, 3528, 4509, 835, 779, 1072, 1107, 1312, 9308, 543, 14156, 1107, 835, 666, 11883, 609, 21500, 2404, 609, 30333, 269, 1635, 2921, 4550, 21943, 532, 9360, 267, 835, 666, 1832, 741, 2960, 3168, 607, 1762, 607, 2009, 585, 741, 2085, 269, 18227, 547, 513, 2635, 2732, 267, 9363, 9308, 543, 15508, 3742, 267, 543, 1373, 9237, 827, 1018, 835, 2115, 607, 835, 4991, 4587, 616, 782, 2081, 547, 711, 1175, 11883, 609, 3478, 4587, 267, 855, 2085, 30780, 607, 1134, 269, 0, 8624, 1681, 9664, 2986, 9540, 26540, 269, 6744, 938, 1863, 7792, 8768, 7801, 3817, 267, 2030, 543, 3529, 7801, 3817, 269, 8752, 8260, 8403, 585, 1453, 609, 5017, 563, 288, 1804, 8768, 543, 513, 1507, 8768, 609, 3670, 24968, 547, 2681, 269, 18237, 593, 1019, 344, 519, 8289, 540, 513, 1166, 32211, 18173, 6770, 513, 12837, 593, 1034, 1453, 269, 630, 5976, 23001, 2135, 610, 22968, 267, 596, 666, 4688, 707, 11954, 563, 21760, 902, 2052, 2142, 7179, 539, 1280, 5131, 769, 7102, 14474, 1473, 1204, 1302, 2107, 2353, 2311, 4495, 769, 15020, 6153, 10866, 563, 1103, 4167, 543, 519, 8768, 7801, 2985, 269, 15026, 1507, 8768, 7801, 3817, 269, 589, 3099, 540, 5810, 971, 607, 546, 9820, 625, 267, 32482, 2354, 267, 3141, 25154, 267, 25487, 543, 24712, 616, 1851, 519, 7792, 4015, 7471, 563, 12709, 22843, 12292, 3203, 1740, 6426, 17510, 17058, 14295, 9398, 18831, 674, 8543, 24079, 26135, 26540, 22500, 32733, 23467, 8535, 7186, 4658, 14175, 28647, 3427, 6611, 11846, 18815, 11473, 10794, 16992, 16661, 7822, 1635, 10606, 4045, 634, 667, 1824, 29961, 563, 22102, 5810, 7801, 3817, 4647, 543, 1820, 891, 1507, 5810, 7801, 3817, 585, 1863, 269, 2755, 5614, 568, 519, 6305, 942, 585, 5810, 267, 596, 666, 2681, 8768, 7801, 3817, 782, 1032, 5180, 256, 26540, 7801, 3817, 616, 8748, 585, 2462, 543, 1507, 8768, 18798, 15489, 6770, 721, 10477, 16714, 593, 519, 4054, 543, 1082, 513, 8748, 669, 24075, 656, 1335, 636, 267, 546, 1695, 20377, 610, 14531, 563, 22142, 14840, 4934, 2986, 16974, 25420, 11088, 267, 5901, 2659, 9741, 2201, 525, 22084, 344, 2060, 2368, 16974, 5384, 1635, 8281, 532, 1452, 15026, 9664, 563, 288, 1804, 8768, 543, 513, 1507, 8768, 609, 3670, 24968, 547, 2681, 269, 17266, 8768, 7801, 2985, 585, 3214, 269, 8281, 543, 1820, 891, 1863, 7792, 8768, 7801, 3817, 585, 1863, 563, 763, 11588, 2986, 16974, 9664, 912, 763, 8768, 536, 537, 21103, 7801, 2985, 269, 6744, 938, 1863, 7792, 8768, 7801, 3817, 267, 2030, 543, 3529, 7801, 3817, 269, 15019, 2442, 2442, 4734, 707, 6085, 10778, 28082, 15019, 15019, 23680, 2659, 19410, 10778, 10403, 7792, 8768, 7801, 3817, 269, 769, 5810, 7602, 494, 3105, 2022, 269, 1411, 666, 2995, 513, 2603, 827, 519, 1259, 513, 1268, 568, 4743, 676, 519, 2592, 602, 789, 2721, 267, 519, 4778, 602, 789, 946, 267, 3092, 269, 0, 1607, 568, 606, 21626, 689, 835, 540, 6424, 2228, 1576, 1336, 693, 8940, 6155, 14865, 14315, 749, 2593, 454, 15578, 23333, 3036, 2910, 14701, 5508, 631, 7728, 3201, 32217, 2752, 2894, 8577, 4959, 5990, 26395, 312, 9215, 700, 4353, 5058, 5442, 14408, 293, 4953, 312, 10758, 9215, 18688, 30426, 312, 11123, 589, 8946, 3918, 2969, 2336, 25321, 14888, 3582, 18040, 25492, 910, 23387, 454, 19669, 568, 519, 9803, 1377, 593, 519, 15583, 1807, 269, 769, 16448, 6519, 835, 568, 23387, 267, 711, 10332, 267, 21933, 643, 1190, 269, 901, 1533, 666, 581, 6353, 607, 834, 1485, 323, 3195, 532, 257, 610, 834, 2181, 31039, 2668, 4658, 538, 6519, 4043, 547, 3802, 1472, 609, 741, 9843, 1524, 267, 607, 952, 8384, 741, 1378, 3952, 269, 1358, 798, 711, 5469, 519, 31587, 8594, 2394, 621, 12777, 814, 873, 676, 519, 11563, 563, 25321, 14888, 3582, 962, 21822, 8582, 910, 3222, 267, 10332, 543, 17159, 454, 1607, 568, 513, 17159, 1533, 540, 2489, 10332, 1145, 267, 609, 1100, 1808, 17122, 1448, 269, 1411, 616, 711, 3168, 585, 4376, 610, 4896, 538, 1880, 282, 596, 3274, 723, 707, 2212, 909, 543, 707, 4064, 1930, 269, 1411, 616, 10332, 543, 3222, 540, 707, 10450, 269, 1411, 616, 2352, 547, 9983, 267, 4061, 267, 596, 616, 2352, 547, 2800, 269, 1411, 798, 711, 2503, 547, 581, 16091, 2221, 269, 1411, 3274, 5431, 519, 7872, 563, 25321, 14888, 3582, 10758, 3198, 12283, 910, 1761, 3463, 910, 1711, 513, 1544, 454, 1607, 568, 513, 15398, 1533, 540, 10332, 1145, 267, 609, 513, 1808, 17122, 1448, 269, 634, 3003, 3017, 1063, 14117, 543, 21060, 568, 713, 1808, 3077, 585, 707, 3007, 269, 2659, 17122, 1448, 568, 519, 1268, 945, 568, 3257, 8726, 16668, 707, 3007, 547, 873, 269, 898, 1522, 581, 519, 1249, 602, 789, 616, 9849, 513, 2361, 29075, 538, 4864, 269, 898, 1522, 581, 602, 789, 616, 7555, 676, 513, 6241, 538, 519, 18736, 25880, 267, 3079, 540, 2469, 883, 519, 2679, 267, 610, 3478, 538, 513, 1286, 543, 6028, 269, 898, 1522, 581, 602, 596, 723, 1044, 538, 2947, 8637, 693, 519, 32041, 267, 543, 4718, 713, 1482, 1268, 538, 1169, 835, 540, 873, 269, 4256, 3527, 723, 3361, 596, 547, 1491, 4063, 267, 865, 596, 1590, 2708, 873, 607, 513, 1761, 3463, 267, 1175, 607, 519, 25142, 12681, 12290, 519, 1025, 760, 4505, 563, 25321, 14888, 3582, 681, 3633, 910, 21784, 20240, 910, 2936, 1544, 454, 1103, 4414, 267, 596, 616, 4712, 547, 4339, 256, 1411, 949, 711, 2965, 581, 8165, 267, 855, 596, 616, 631, 7728, 3201, 14877, 28217, 303, 2752, 3633, 547, 4339, 269, 769, 1082, 267, 610, 5310, 1256, 1034, 267, 6381, 1141, 596, 723, 8854, 4628, 547, 4414, 267, 596, 786, 711, 2965, 9308, 798, 4376, 693, 782, 269, 634, 3003, 1184, 540, 32117, 689, 14117, 267, 547, 21060, 267, 547, 4414, 267, 1287, 632, 268, 525, 5632, 908, 1318, 1394, 1524, 519, 4336, 607, 519, 3510, 568, 17251, 267, 4386, 1510, 1022, 4890, 2168, 2534, 593, 707, 851, 269, 634, 1883, 568, 602, 596, 941, 15508, 5423, 585, 513, 4655, 267, 543, 3976, 1223, 9308, 957, 952, 519, 3510, 18796, 563, 25321, 14888, 3582, 19154, 19272, 910, 538, 519, 4339, 543, 4339, 547, 1205, 2476, 454, 763, 4339, 568, 593, 269, 2659, 6364, 786, 4096, 2390, 707, 7041, 269, 26298, 1299, 2790, 3965, 689, 2866, 568, 27416, 269, 1411, 786, 4339, 875, 596, 8036, 0, 293, 5831, 1299, 15348, 454, 763, 7467, 693, 28218, 6799, 22960, 1299, 15348, 267, 513, 1007, 14266, 538, 922, 22960, 543, 7956, 850, 3778, 20155, 269, 22960, 1299, 15348, 568, 606, 3408, 540, 811, 982, 476, 1220, 1296, 540, 6214, 607, 6829, 998, 6752, 269, 769, 713, 4259, 267, 519, 2165, 968, 335, 29176, 892, 711, 1152, 4016, 547, 519, 23603, 902, 540, 2229, 267, 855, 849, 13315, 2686, 1689, 267, 4638, 9479, 267, 543, 1514, 3356, 269, 22960, 1299, 15348, 10525, 875, 267, 2429, 1686, 267, 6752, 814, 1044, 513, 5420, 585, 23187, 2797, 19237, 543, 1644, 1514, 2418, 676, 5466, 971, 1271, 4798, 607, 18541, 267, 22158, 267, 543, 6803, 3961, 267, 607, 1134, 607, 1713, 2621, 543, 23658, 8590, 5322, 269, 3171, 520, 1005, 811, 982, 476, 1911, 24853, 267, 20955, 267, 543, 17960, 10268, 538, 26567, 1931, 267, 22960, 1299, 15348, 8761, 519, 3638, 1686, 540, 6214, 538, 6752, 563, 763, 14266, 779, 2606, 19922, 7710, 519, 6249, 540, 1977, 18541, 269, 3171, 25733, 616, 513, 4807, 779, 28076, 267, 2235, 320, 476, 6642, 280, 267, 9102, 609, 606, 1977, 9206, 14953, 267, 607, 1134, 607, 21965, 5689, 663, 337, 3626, 779, 11599, 25035, 667, 816, 267, 12816, 676, 3875, 28245, 543, 1514, 2572, 547, 2769, 32742, 1310, 476, 280, 270, 1556, 267, 543, 1586, 538, 3210, 547, 519, 8978, 476, 1220, 279, 16232, 5859, 269, 4746, 12286, 568, 606, 9232, 296, 17395, 892, 10571, 689, 519, 476, 4198, 277, 29276, 327, 1077, 5859, 267, 513, 9232, 301, 21197, 2177, 892, 1957, 10571, 267, 543, 8357, 8494, 807, 689, 519, 476, 1220, 279, 16232, 11044, 563, 16729, 519, 4367, 267, 519, 14266, 6799, 606, 7650, 540, 6752, 543, 1644, 20955, 543, 17960, 602, 14550, 519, 954, 30447, 1222, 540, 6752, 543, 6214, 689, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 782, 917, 875, 1187, 1299, 15962, 519, 2534, 540, 7504, 3724, 14964, 568, 269, 13966, 2515, 713, 267, 621, 779, 606, 3078, 2534, 585, 1004, 540, 782, 6502, 543, 5578, 2157, 269, 1924, 267, 2436, 596, 616, 513, 19444, 610, 606, 4810, 31115, 267, 972, 616, 513, 1906, 1883, 2798, 596, 1058, 1832, 538, 2247, 547, 2327, 513, 2922, 543, 11791, 1995, 269, 769, 713, 2376, 267, 649, 786, 1865, 930, 540, 519, 1034, 1898, 5013, 827, 7504, 3724, 14964, 563, 8450, 849, 281, 16258, 652, 6601, 539, 540, 32130, 454, 2252, 596, 616, 1360, 1454, 883, 7504, 3724, 14964, 267, 621, 779, 1898, 602, 596, 1590, 1832, 930, 3527, 538, 707, 4356, 269, 6145, 569, 267, 621, 786, 948, 596, 1831, 606, 4274, 538, 707, 2361, 543, 2149, 596, 689, 23139, 8813, 563, 2080, 616, 519, 1283, 476, 279, 2798, 602, 596, 1590, 1224, 1354, 4098, 609, 519, 7504, 3724, 14964, 2534, 24121, 272, 269, 8881, 3689, 912, 32552, 568, 519, 1034, 1271, 3364, 547, 1832, 538, 2247, 1247, 7504, 3724, 14964, 269, 2859, 865, 267, 596, 1590, 2141, 5957, 513, 24743, 543, 2327, 707, 7504, 6487, 1134, 547, 11878, 267, 607, 621, 666, 581, 5906, 952, 596, 616, 2469, 3728, 269, 4746, 267, 1373, 3222, 540, 707, 10450, 543, 1761, 10898, 568, 1898, 269, 769, 1840, 267, 596, 1590, 711, 11878, 4805, 538, 519, 4098, 543, 2141, 723, 513, 2754, 540, 606, 4274, 547, 27459, 1047, 519, 3510, 563, 273, 269, 7743, 5900, 790, 912, 2005, 568, 3810, 1271, 547, 2141, 5957, 6899, 543, 10690, 1922, 9231, 9660, 602, 1450, 596, 547, 1847, 11884, 269, 2859, 865, 267, 2057, 9849, 9925, 749, 2044, 610, 9561, 3688, 602, 1223, 1205, 9575, 593, 1945, 1282, 519, 11878, 269, 19452, 267, 2327, 596, 2141, 5957, 6806, 3562, 324, 10887, 610, 25192, 609, 513, 24933, 267, 607, 621, 2337, 1832, 707, 3723, 7123, 563, 8450, 849, 281, 3657, 32130, 7111, 547, 3013, 888, 274, 269, 6778, 532, 543, 667, 1143, 870, 532, 912, 300, 870, 532, 543, 10982, 870, 532, 513, 7504, 666, 581, 16602, 267, 2523, 585, 14987, 269, 5015, 267, 596, 1590, 2141, 946, 513, 20387, 3625, 610, 1900, 22454, 543, 2760, 7914, 5196, 610, 1055, 513, 7504, 269, 2060, 602, 267, 596, 849, 723, 547, 1118, 2386, 602, 707, 3723, 568, 18172, 538, 519, 13489, 14442, 1354, 8380, 707, 2597, 883, 621, 563, 275, 269, 7743, 5403, 675, 912, 2171, 917, 1697, 14302, 568, 1898, 585, 3617, 14964, 3666, 543, 1852, 269, 1924, 267, 596, 991, 547, 1694, 2786, 609, 707, 17525, 1394, 1247, 5329, 707, 3952, 6366, 538, 519, 13489, 745, 1186, 269, 19452, 267, 621, 779, 1898, 547, 2057, 1793, 537, 4221, 610, 10709, 532, 4464, 543, 1832, 707, 3946, 1970, 543, 17159, 563, 276, 269, 9442, 609, 707, 21696, 912, 2252, 596, 1869, 1810, 1406, 917, 267, 9640, 616, 835, 540, 519, 1034, 3810, 10995, 2831, 269, 1924, 267, 585, 1697, 7504, 3724, 14964, 267, 2792, 568, 1883, 607, 621, 2636, 596, 547, 1711, 602, 6125, 609, 707, 14964, 13959, 269, 1411, 949, 849, 946, 9543, 267, 5812, 10291, 547, 5968, 609, 707, 7504, 543, 581, 3461, 543, 9350, 269, 22353, 267, 2141, 1521, 707, 7504, 609, 11587, 543, 2463, 865, 602, 789, 1810, 1406, 1205, 8886, 762, 1282, 519, 11878, 563, 8450, 849, 281, 1215, 547, 22043, 569, 10925, 513, 590, 18150, 1299, 20710, 548, 593, 513, 21696, 888, 277, 269, 6513, 543, 6008, 1359, 912, 2005, 568, 1271, 547, 1451, 519, 1697, 1259, 540, 9013, 543, 23376, 707, 7504, 1210, 707, 556, 1231, 543, 7953, 269, 769, 13076, 267, 596, 1590, 849, 2259, 16069, 267, 7432, 267, 543, 25380, 909, 707, 7504, 9108, 269, 2859, 865, 267, 621, 786, 581, 1655, 547, 798, 865, 538, 513, 6417, 1604, 1354, 5887, 1005, 856, 593, 519, 13009, 563, 278, 269, 20417, 681, 4575, 912, 2252, 596, 1544, 547, 979, 593, 513, 13009, 11878, 267, 1118, 2386, 596, 917, 782, 519, 2556, 3268, 585, 18656, 3101, 538, 835, 269, 1411, 666, 3142, 7899, 540, 1216, 543, 16152, 543, 5957, 24429, 543, 5521, 28084, 550, 269, 898, 786, 581, 1655, 952, 596, 666, 3274, 6529, 547, 3964, 18162, 269, 5015, 267, 2057, 2127, 609, 1761, 10898, 971, 607, 14869, 12772, 610, 3728, 2173, 8221, 1216, 563, 279, 269, 2991, 707, 681, 728, 912, 5629, 596, 616, 2944, 2921, 519, 11878, 267, 621, 779, 942, 547, 5265, 1416, 585, 707, 7504, 269, 22353, 267, 596, 666, 2253, 676, 2150, 22326, 707, 7504, 543, 4758, 873, 9488, 25462, 269, 769, 1840, 547, 602, 267, 596, 666, 849, 2327, 602, 789, 723, 7899, 540, 1216, 543, 1426, 547, 8897, 909, 269, 1403, 596, 5469, 1022, 4191, 540, 5945, 610, 4576, 267, 621, 779, 1655, 547, 5077, 513, 17022, 5612, 563, 2467, 616, 930, 540, 519, 2596, 2798, 602, 596, 666, 1832, 538, 2247, 1354, 4098, 609, 7504, 3724, 14964, 269, 6145, 569, 267, 621, 779, 513, 1187, 543, 14785, 2534, 267, 855, 621, 568, 849, 1898, 547, 4225, 3106, 543, 1697, 14964, 4480, 563, 17798, 1721, 628, 267, 1739, 891, 1883, 2798, 5849, 513, 2922, 543, 11791, 1995, 609, 707, 7504, 269, 1403, 972, 779, 4376, 596, 1616, 547, 581, 2312, 827, 267, 1118, 2386, 596, 2307, 621, 1354, 2469, 585, 513, 7504, 3724, 14964, 2534, 563, 1692, 547, 2268, 513, 7504, 585, 513, 521, 18150, 454, 1692, 547, 12763, 513, 590, 18150, 717, 592, 2280, 888, 24309, 676, 32130, 590, 5417, 956, 454, 8196, 595, 19281, 517, 8943, 454, 268, 8881, 3117, 573, 3130, 1879, 4635, 513, 21696, 4498, 1145, 454, 268, 634, 10020, 540, 21696, 4498, 1145, 525, 538, 7756, 27639, 454, 268, 634, 11588, 540, 681, 4575, 645, 732, 3724, 5288, 269, 4635, 513, 590, 18150, 454, 268, 1215, 547, 11162, 1299, 19321, 513, 21696, 4498, 1145, 888, 268, 1548, 616, 519, 18370, 543, 3117, 540, 16522, 4854, 21696, 590, 5417, 956, 888, 268, 1215, 547, 16505, 538, 513, 1715, 21696, 590, 18150, 888, 268, 681, 4575, 9828, 1299, 9669, 281, 1280, 7756, 590, 18150, 9537, 454, 268, 590, 18150, 7457, 1559, 281, 681, 11107, 18771, 5620, 454, 268, 7743, 590, 18150, 22087, 590, 1944, 281, 13159, 6651, 454, 268, 18370, 1299, 3117, 540, 21696, 3724, 681, 4575, 454, 32306, 513, 31400, 0, 22143, 5183, 476, 4200, 20964, 7355, 585, 2157, 540, 1072, 1416, 2533, 610, 1949, 1759, 593, 1981, 547, 519, 2550, 267, 5234, 267, 610, 8436, 538, 1072, 1416, 6703, 547, 7413, 519, 10898, 540, 3595, 267, 16411, 267, 543, 5201, 269, 1452, 4808, 1711, 4656, 538, 513, 2564, 9744, 267, 971, 602, 519, 6413, 6487, 952, 972, 568, 1022, 16789, 569, 16135, 610, 26843, 2564, 3937, 269, 634, 29458, 5183, 476, 4200, 814, 3982, 4808, 585, 3937, 602, 616, 1031, 1312, 538, 18345, 543, 3461, 3146, 560, 24071, 2127, 540, 513, 3782, 3919, 1604, 269, 2290, 540, 519, 1101, 3906, 547, 15476, 4441, 547, 713, 1198, 568, 519, 29458, 5183, 268, 2817, 9605, 10466, 10837, 267, 17548, 922, 4808, 896, 29458, 5183, 4200, 630, 18184, 1841, 585, 2657, 5516, 11120, 1988, 1040, 1280, 1569, 547, 741, 5767, 4441, 267, 799, 616, 8242, 12422, 267, 3643, 1934, 269, 3371, 616, 519, 5122, 3106, 24422, 630, 22143, 5183, 4200, 264, 538, 3782, 6703, 563, 763, 1101, 3044, 896, 519, 29458, 5183, 4200, 568, 3106, 27733, 269, 8881, 27733, 568, 513, 1505, 998, 799, 5739, 24694, 1699, 689, 3937, 568, 27071, 1055, 543, 568, 849, 1031, 547, 9514, 610, 771, 762, 535, 4926, 538, 2013, 513, 16135, 4496, 2013, 2833, 2110, 338, 563, 2467, 616, 1079, 2010, 540, 24694, 14768, 281, 3692, 1438, 543, 5706, 633, 1699, 269, 7167, 659, 1438, 14768, 3335, 1106, 1063, 6587, 569, 9901, 7252, 269, 1763, 626, 633, 14768, 267, 593, 519, 824, 1688, 267, 616, 513, 1267, 540, 4187, 13471, 1472, 22155, 2842, 902, 543, 1379, 12904, 269, 8881, 2666, 12904, 616, 2356, 3773, 547, 2569, 7050, 24694, 14768, 689, 519, 669, 817, 529, 799, 949, 3362, 2097, 883, 3346, 609, 1312, 2550, 543, 15637, 267, 4929, 13778, 7063, 563, 1103, 1840, 267, 932, 817, 529, 24694, 1699, 4152, 1058, 581, 2944, 1354, 10380, 540, 6378, 3937, 1317, 267, 693, 713, 1448, 267, 621, 568, 17303, 1202, 4327, 689, 519, 2666, 563, 22117, 2274, 752, 720, 4530, 454, 9202, 267, 513, 1291, 24694, 1449, 1058, 581, 5340, 593, 782, 3937, 1991, 547, 8628, 10380, 269, 29458, 5183, 288, 4200, 814, 1360, 1808, 4441, 547, 1246, 547, 2327, 602, 972, 568, 1100, 5470, 538, 713, 563, 268, 634, 11281, 1058, 581, 9678, 267, 543, 513, 4090, 776, 6467, 1031, 563, 268, 3417, 4187, 538, 3126, 547, 3927, 3970, 14768, 454, 268, 5269, 7403, 585, 14233, 609, 6534, 20009, 7252, 543, 1510, 513, 1379, 10260, 538, 513, 17303, 16135, 2783, 563, 268, 15379, 14233, 1031, 1282, 3461, 1416, 538, 2489, 1416, 2127, 1058, 581, 7318, 693, 2547, 1169, 12964, 3275, 543, 1346, 538, 6632, 6753, 543, 2565, 1416, 2127, 1169, 3670, 3275, 269, 1717, 267, 952, 707, 9744, 568, 26886, 267, 891, 4255, 616, 16601, 563, 268, 8048, 1699, 4255, 616, 1152, 2556, 1310, 18203, 610, 12381, 547, 3937, 607, 519, 8699, 540, 519, 1062, 949, 581, 19847, 610, 1354, 14791, 563, 268, 2422, 606, 10072, 6895, 547, 2638, 25317, 689, 782, 9678, 5547, 3515, 547, 519, 2666, 607, 621, 786, 24633, 950, 1970, 25317, 547, 519, 2666, 10953, 610, 950, 513, 13337, 4386, 563, 12648, 891, 5122, 3106, 24422, 630, 22143, 5183, 4200, 264, 538, 3782, 6703, 883, 7156, 543, 596, 1058, 581, 1134, 593, 707, 1259, 256, 1280, 811, 2055, 267, 1745, 1863, 547, 3643, 938, 3896, 610, 3717, 609, 606, 4274, 1934, 693, 1775, 20238, 269, 0, 2005, 779, 602, 6909, 942, 540, 1032, 950, 938, 2199, 20883, 616, 20282, 269, 634, 2937, 13855, 568, 827, 519, 2450, 540, 707, 14853, 267, 855, 789, 616, 13465, 609, 9739, 865, 2462, 594, 666, 5873, 873, 513, 3368, 28902, 2476, 693, 519, 7023, 779, 11432, 269, 25569, 338, 540, 873, 563, 303, 6680, 10326, 325, 5766, 338, 2661, 5097, 538, 519, 7262, 772, 2529, 269, 634, 2249, 649, 1294, 538, 8832, 4993, 568, 1572, 28342, 659, 5142, 521, 20346, 324, 610, 590, 1512, 3757, 10326, 325, 5766, 269, 901, 17681, 2370, 13442, 814, 1044, 9286, 543, 556, 11665, 1881, 865, 1082, 2053, 267, 922, 2012, 568, 14845, 269, 1280, 16134, 1934, 267, 649, 3580, 946, 922, 811, 1455, 936, 268, 31186, 2012, 281, 519, 7414, 10326, 325, 5766, 630, 16269, 1810, 1406, 2661, 538, 4054, 1916, 5445, 2154, 1216, 585, 20282, 267, 865, 1472, 5130, 610, 5988, 267, 4470, 593, 875, 1454, 519, 3618, 814, 3636, 539, 267, 519, 9921, 4079, 3460, 593, 741, 14950, 4765, 19462, 547, 22253, 610, 546, 9662, 563, 763, 9038, 946, 741, 968, 30541, 1047, 618, 7125, 892, 547, 14773, 741, 8516, 547, 12721, 9038, 543, 547, 4482, 8951, 269, 634, 5256, 779, 11563, 521, 871, 31148, 909, 950, 621, 2306, 713, 1289, 563, 303, 3233, 2370, 3529, 325, 5766, 338, 723, 513, 2603, 540, 11975, 563, 27409, 1389, 267, 986, 764, 9398, 267, 1200, 976, 267, 19838, 28905, 267, 543, 824, 1507, 11864, 543, 20641, 3548, 873, 563, 763, 20883, 9742, 538, 13719, 1216, 2959, 602, 2356, 3819, 909, 1310, 5162, 282, 2921, 741, 8458, 547, 16196, 676, 711, 1373, 538, 513, 22150, 267, 2392, 2218, 6704, 2707, 563, 7212, 741, 1560, 2681, 568, 4756, 630, 13582, 267, 16009, 267, 6960, 267, 12457, 267, 26070, 610, 8645, 1070, 789, 2461, 2356, 1175, 3039, 610, 6960, 267, 899, 538, 891, 6337, 269, 15380, 789, 616, 519, 2681, 540, 741, 1604, 282, 855, 789, 798, 849, 723, 519, 2702, 547, 3533, 1689, 4778, 547, 2057, 32456, 563, 2005, 568, 2352, 547, 1205, 1022, 8666, 540, 713, 13855, 585, 1082, 4128, 281, 789, 616, 811, 3742, 693, 3781, 630, 323, 1046, 5148, 2356, 6456, 538, 3762, 610, 3368, 24760, 538, 1216, 282, 543, 789, 3247, 10775, 321, 1746, 950, 789, 1745, 519, 19089, 540, 707, 3723, 25074, 563, 1103, 1840, 267, 789, 2461, 2706, 6263, 563, 3086, 621, 779, 2250, 4571, 5336, 1105, 543, 519, 9038, 543, 8951, 616, 1100, 8969, 4098, 547, 6292, 909, 269, 634, 4775, 786, 2482, 1200, 5798, 607, 519, 5256, 6992, 3278, 873, 608, 27238, 563, 9515, 786, 2482, 606, 3328, 540, 476, 6110, 268, 16020, 5798, 267, 538, 1507, 13421, 540, 476, 1015, 268, 3199, 693, 513, 942, 563, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2164, 689, 519, 2493, 514, 8062, 616, 4061, 771, 638, 2884, 532, 563, 1103, 519, 1079, 1101, 1138, 341, 770, 11294, 8062, 267, 476, 275, 306, 543, 670, 4916, 267, 811, 2550, 538, 519, 2126, 1895, 3893, 1875, 2173, 601, 534, 5448, 2960, 2860, 269, 1717, 267, 4352, 891, 5515, 7902, 538, 519, 7515, 267, 519, 4589, 1705, 711, 2446, 713, 24034, 4466, 538, 519, 4901, 610, 538, 519, 5758, 540, 519, 5359, 269, 634, 2601, 949, 581, 602, 519, 3017, 729, 711, 1713, 538, 1142, 4693, 269, 1717, 267, 952, 519, 2338, 689, 1312, 8062, 616, 3773, 1927, 267, 519, 3017, 3587, 19250, 1713, 267, 2495, 602, 621, 568, 3810, 12691, 602, 519, 1267, 729, 1813, 547, 4960, 563, 15239, 2173, 601, 534, 5448, 2960, 2860, 568, 2808, 796, 28695, 1317, 621, 568, 2653, 547, 1521, 282, 18864, 10523, 689, 1875, 2173, 601, 534, 5448, 2960, 2860, 2221, 269, 1717, 267, 513, 2860, 568, 513, 2860, 269, 1403, 2493, 514, 2126, 610, 1970, 8501, 616, 2111, 547, 1711, 1585, 2010, 540, 2860, 607, 538, 519, 3662, 6901, 267, 519, 1101, 1826, 649, 1058, 2503, 547, 1294, 568, 267, 540, 1576, 267, 2960, 2860, 267, 3274, 1317, 621, 568, 3362, 9571, 543, 693, 606, 2038, 3942, 269, 14755, 267, 972, 568, 2963, 602, 1875, 2173, 601, 534, 5448, 2960, 2860, 949, 581, 513, 3771, 321, 5424, 540, 811, 30380, 2010, 540, 11871, 2663, 593, 269, 1809, 676, 7164, 4128, 519, 4693, 19971, 540, 782, 2090, 3370, 1310, 670, 4916, 10093, 1406, 536, 6139, 1042, 547, 1867, 519, 1297, 540, 2960, 11871, 563, 5591, 1713, 2333, 540, 2860, 729, 2938, 538, 513, 4557, 4458, 1246, 5346, 540, 519, 5171, 538, 519, 476, 275, 306, 4693, 543, 519, 4589, 4061, 11943, 602, 4557, 1296, 540, 2493, 514, 2126, 1281, 711, 16578, 2860, 563, 10468, 2416, 1281, 4557, 1296, 7296, 563, 5194, 3362, 3713, 762, 30279, 3599, 568, 6089, 2860, 269, 769, 519, 595, 22664, 1353, 267, 6089, 2860, 729, 811, 1455, 1851, 1346, 945, 3576, 519, 3075, 982, 538, 519, 1852, 1895, 269, 769, 519, 2126, 1895, 476, 1321, 2021, 3893, 6089, 2860, 1282, 519, 4693, 267, 6466, 972, 729, 1152, 835, 2013, 538, 519, 1852, 1895, 267, 513, 3017, 602, 568, 3810, 19250, 1713, 563, 763, 4589, 540, 519, 595, 22664, 1867, 941, 11235, 547, 2491, 2476, 519, 2799, 4908, 540, 6089, 2860, 269, 968, 4322, 4681, 1223, 581, 606, 31096, 2223, 789, 5206, 269, 898, 568, 2009, 602, 789, 616, 1318, 1317, 519, 4397, 1297, 540, 6089, 2860, 2665, 538, 519, 1852, 1895, 267, 7229, 689, 519, 4908, 7363, 2938, 538, 519, 2551, 267, 1058, 723, 1044, 2947, 2665, 269, 11048, 267, 24369, 568, 811, 982, 7466, 607, 1082, 607, 2947, 563, 17954, 770, 2860, 814, 711, 1044, 4080, 538, 1022, 540, 519, 811, 2487, 8062, 267, 855, 1310, 519, 8313, 540, 519, 595, 22664, 4693, 267, 782, 2550, 609, 2860, 267, 1519, 1346, 945, 723, 23384, 2860, 2126, 267, 723, 1044, 16934, 689, 519, 8062, 269, 901, 568, 513, 1034, 8049, 3375, 1317, 18793, 540, 2493, 514, 2126, 3409, 602, 2493, 1231, 616, 2111, 547, 2061, 2860, 563, 1103, 519, 10189, 7696, 585, 623, 9545, 778, 565, 267, 596, 666, 1224, 827, 519, 1981, 540, 1585, 1447, 5906, 2427, 2360, 267, 4352, 9039, 540, 891, 729, 4080, 3648, 811, 1419, 538, 519, 2126, 1895, 269, 1809, 4986, 568, 5018, 827, 519, 2009, 1981, 540, 6089, 2860, 267, 519, 1152, 2427, 1198, 602, 729, 2938, 3648, 811, 1419, 563, 4517, 972, 568, 811, 2963, 602, 2493, 514, 2126, 949, 2014, 2860, 269, 2913, 721, 1491, 513, 1413, 693, 11550, 9915, 2207, 267, 513, 1804, 4693, 5473, 11361, 1004, 269, 901, 4693, 729, 9859, 676, 7905, 6276, 2701, 23311, 267, 519, 8689, 540, 519, 654, 5308, 4596, 4916, 4693, 269, 769, 11550, 9915, 2207, 267, 2367, 543, 2021, 9907, 476, 3583, 268, 11025, 941, 3769, 1152, 269, 2353, 540, 873, 1185, 2901, 15466, 2068, 610, 1185, 513, 6659, 1981, 540, 971, 2068, 269, 2311, 1246, 5346, 267, 476, 275, 269, 273, 2600, 1185, 5747, 689, 513, 2295, 4323, 538, 519, 1852, 1895, 267, 855, 1152, 476, 274, 269, 274, 2600, 538, 519, 2126, 1895, 269, 901, 1507, 4324, 729, 9243, 1242, 676, 513, 2362, 1981, 540, 12955, 689, 2860, 269, 11569, 267, 972, 941, 476, 2764, 7864, 7972, 689, 2295, 2068, 538, 519, 9299, 341, 770, 11294, 1895, 267, 855, 476, 2190, 811, 7972, 689, 2860, 269, 1403, 649, 1331, 1875, 1922, 7614, 2860, 538, 519, 9819, 267, 519, 2860, 3017, 1063, 519, 1079, 2516, 2968, 19250, 1713, 282, 476, 1960, 538, 519, 1852, 1895, 543, 476, 25090, 538, 519, 9299, 341, 770, 11294, 1895, 269, 5015, 519, 3017, 1063, 519, 1079, 2516, 2799, 1032, 585, 1032, 563, 2414, 2322, 713, 4466, 538, 2796, 267, 607, 789, 5206, 267, 789, 18886, 519, 1297, 540, 1007, 11871, 538, 782, 9299, 341, 770, 11294, 8062, 1927, 543, 1336, 602, 972, 729, 1100, 1713, 2333, 540, 2860, 269, 1717, 267, 538, 713, 9819, 789, 1705, 711, 1331, 519, 1297, 540, 2960, 11871, 563, 1432, 789, 849, 29709, 547, 2446, 729, 602, 538, 519, 3105, 8062, 519, 5171, 941, 476, 736, 268, 1839, 1032, 7820, 982, 538, 741, 1378, 4693, 269, 9435, 568, 5097, 513, 2068, 540, 2025, 2085, 543, 2860, 568, 513, 7928, 4466, 693, 2022, 2173, 677, 655, 540, 2025, 1004, 945, 723, 5747, 689, 1945, 3116, 269, 9435, 538, 519, 11361, 568, 1419, 26862, 610, 621, 9428, 865, 7444, 602, 621, 2760, 3587, 513, 1966, 1282, 741, 10715, 1765, 684, 1652, 540, 1576, 519, 2208, 568, 25623, 676, 1945, 899, 2493, 514, 2126, 563, 2252, 2860, 5526, 1369, 513, 6071, 1614, 610, 2185, 1296, 538, 519, 11361, 267, 3884, 1406, 621, 2693, 602, 2860, 786, 1831, 513, 1966, 538, 1762, 1004, 267, 1346, 945, 723, 1044, 5143, 547, 1491, 513, 2493, 514, 3075, 1169, 1554, 519, 1964, 540, 741, 1272, 888, 2467, 568, 1776, 1259, 547, 3313, 2436, 2493, 514, 2126, 568, 2111, 547, 3132, 2860, 269, 2311, 2947, 10506, 538, 19519, 513, 1895, 540, 5545, 3173, 6594, 2436, 2860, 2550, 1185, 1044, 5701, 609, 2493, 1231, 811, 1419, 982, 824, 1004, 269, 1677, 602, 1439, 789, 5697, 2550, 609, 1585, 3029, 540, 9726, 1355, 11871, 543, 1852, 2043, 540, 519, 1482, 2085, 543, 3023, 1510, 2860, 15861, 547, 824, 13623, 693, 519, 1482, 10506, 1282, 519, 1482, 1974, 269, 589, 2698, 540, 476, 1724, 269, 274, 2600, 540, 519, 2860, 2550, 267, 855, 1152, 476, 278, 269, 274, 2600, 540, 519, 1852, 2043, 941, 610, 1185, 1044, 593, 2493, 514, 2126, 269, 11088, 267, 1175, 607, 609, 2960, 543, 6089, 2860, 267, 9726, 1355, 2860, 568, 3362, 3713, 762, 267, 693, 2547, 3379, 609, 11871, 538, 519, 4835, 8219, 269, 16874, 519, 5545, 3173, 6074, 2550, 609, 20633, 878, 11871, 585, 3236, 789, 1522, 711, 723, 1336, 1022, 3017, 267, 1317, 713, 2860, 1826, 949, 979, 32373, 539, 585, 1082, 1296, 563, 22546, 543, 2427, 1198, 454, 2026, 596, 666, 1294, 689, 7305, 476, 277, 290, 267, 519, 2744, 538, 519, 1297, 540, 14603, 2295, 6285, 538, 519, 595, 22664, 4693, 729, 476, 272, 269, 272, 2600, 6466, 519, 2530, 538, 2338, 540, 6089, 11871, 729, 476, 275, 269, 273, 2600, 269, 6726, 730, 538, 519, 1259, 4693, 19971, 2356, 798, 267, 607, 3448, 2864, 982, 6207, 1981, 267, 519, 3017, 729, 1256, 811, 11495, 267, 609, 476, 1321, 2600, 7864, 2295, 6285, 855, 476, 5611, 271, 2600, 811, 6089, 11871, 269, 1717, 267, 596, 786, 2760, 1294, 2427, 2360, 7229, 538, 713, 1259, 1765, 21671, 2318, 2360, 269, 630, 19013, 267, 519, 4589, 1705, 711, 2285, 519, 1297, 540, 14603, 2295, 6285, 585, 1142, 3023, 269, 634, 5515, 538, 519, 3349, 9305, 547, 1312, 28486, 8094, 1692, 547, 7413, 2427, 2360, 454, 30535, 6074, 585, 519, 2493, 514, 8062, 798, 711, 1413, 899, 519, 6093, 3461, 9361, 538, 519, 4387, 779, 7996, 4055, 269, 1677, 581, 3769, 789, 1590, 14183, 513, 1279, 1592, 540, 7355, 269, 1306, 606, 1383, 594, 4927, 2995, 827, 875, 519, 5171, 941, 5697, 585, 519, 570, 18199, 4693, 267, 855, 519, 3741, 1031, 538, 602, 4693, 616, 2147, 547, 1346, 540, 519, 1866, 563, 4263, 519, 1376, 267, 519, 3173, 29971, 476, 1240, 267, 5379, 280, 2550, 609, 10423, 18337, 2295, 2068, 269, 2986, 891, 267, 476, 1428, 267, 275, 5038, 941, 16363, 14718, 269, 1284, 616, 711, 5143, 1946, 519, 824, 476, 274, 267, 22650, 2550, 941, 711, 14718, 267, 855, 689, 519, 1082, 3105, 8062, 649, 917, 602, 2550, 609, 782, 5686, 540, 840, 7721, 11962, 2175, 610, 9808, 14923, 616, 771, 23974, 1881, 269, 1306, 5018, 1657, 267, 2860, 568, 835, 540, 519, 17181, 7355, 267, 855, 1022, 3978, 2783, 267, 971, 607, 8459, 543, 6797, 2068, 267, 2295, 5821, 267, 29252, 3987, 267, 17441, 14524, 267, 543, 16063, 4713, 4866, 547, 602, 7121, 31251, 267, 540, 1576, 267, 1022, 3461, 945, 814, 5892, 3254, 22166, 547, 2493, 514, 3797, 563, 5475, 602, 519, 476, 1428, 267, 275, 5038, 1761, 5171, 941, 2016, 513, 1507, 9570, 540, 693, 528, 341, 770, 11294, 267, 519, 3075, 547, 581, 7318, 269, 901, 5650, 3366, 547, 519, 17181, 540, 513, 2417, 476, 276, 267, 5379, 273, 2550, 269, 4340, 547, 519, 4589, 267, 1034, 540, 873, 941, 16934, 1317, 789, 1705, 711, 2743, 519, 4351, 1436, 7355, 267, 513, 1034, 8049, 4661, 607, 891, 7355, 941, 2907, 3989, 689, 519, 4098, 269, 4208, 14201, 21485, 339, 789, 16934, 538, 519, 1101, 5180, 286, 11524, 941, 16934, 1317, 789, 4810, 8801, 2360, 689, 693, 528, 341, 770, 11294, 267, 610, 789, 5747, 267, 610, 1185, 513, 15466, 2680, 1282, 519, 1449, 267, 610, 789, 4951, 3668, 540, 10220, 563, 13295, 267, 689, 519, 3312, 1895, 540, 476, 1240, 267, 5379, 280, 2550, 1152, 476, 1015, 267, 9826, 2550, 267, 610, 476, 7918, 2600, 941, 3769, 538, 519, 4693, 269, 898, 568, 6654, 602, 519, 5171, 538, 519, 4693, 6719, 513, 5542, 540, 29099, 2178, 543, 2635, 2550, 269, 570, 2586, 1927, 609, 519, 31464, 1145, 547, 2594, 6654, 4191, 540, 1418, 14524, 607, 2427, 2360, 267, 519, 5515, 585, 2493, 514, 2427, 2360, 616, 15069, 4625, 31877, 563, 5194, 4063, 540, 13657, 454, 2414, 1449, 513, 3075, 593, 1082, 5215, 540, 2550, 568, 5393, 14427, 543, 4074, 1190, 269, 634, 1152, 2516, 8348, 547, 6108, 1896, 4627, 2929, 9489, 585, 971, 8062, 616, 519, 3075, 3549, 1317, 519, 1761, 7443, 568, 17254, 4842, 269, 9182, 267, 782, 2493, 514, 8062, 616, 23032, 676, 519, 2754, 4171, 3075, 568, 7318, 538, 519, 4693, 269, 3502, 1152, 798, 519, 3549, 2628, 585, 519, 2556, 11401, 267, 11925, 267, 19014, 267, 4589, 21485, 543, 10529, 685, 12375, 543, 2951, 9276, 585, 519, 1082, 7366, 540, 10283, 7189, 543, 3173, 538, 1142, 4693, 267, 789, 849, 5965, 519, 4693, 267, 1491, 851, 538, 519, 5542, 540, 2550, 543, 1852, 2043, 267, 1374, 543, 3132, 519, 10873, 267, 7119, 538, 5464, 540, 519, 2164, 267, 5659, 1973, 8501, 543, 616, 3743, 585, 519, 7294, 8579, 9273, 269, 634, 3549, 949, 1256, 16926, 3318, 5830, 547, 5965, 519, 5359, 269, 2052, 649, 581, 11207, 8746, 602, 741, 642, 6479, 4690, 723, 1100, 3310, 693, 782, 593, 519, 6364, 540, 891, 8062, 286, 2052, 519, 18896, 1404, 519, 1909, 540, 1352, 23311, 888, 4517, 616, 519, 2164, 2731, 9420, 539, 607, 649, 616, 5143, 286, 769, 1034, 540, 519, 8062, 519, 20188, 9382, 616, 5340, 693, 519, 3075, 2754, 20682, 267, 543, 891, 2164, 616, 711, 5950, 547, 519, 7189, 543, 2550, 2429, 519, 2898, 4693, 269, 1809, 1018, 827, 519, 20188, 9382, 602, 941, 5340, 693, 519, 1367, 19190, 543, 13623, 1765, 26200, 789, 9420, 539, 849, 286, 1879, 519, 1101, 15028, 2164, 689, 519, 4693, 616, 9307, 538, 519, 2046, 267, 585, 1383, 267, 875, 798, 596, 1589, 519, 5171, 1131, 2746, 286, 14348, 333, 1406, 789, 1616, 547, 917, 2436, 789, 941, 2921, 519, 1007, 4898, 3075, 610, 2436, 789, 941, 2921, 606, 23696, 21897, 286, 1323, 2653, 1259, 547, 1265, 856, 568, 547, 1491, 513, 8501, 1449, 269, 20290, 6157, 267, 782, 540, 873, 6785, 741, 8501, 1377, 693, 519, 4098, 540, 519, 4693, 269, 589, 1007, 8501, 1449, 1131, 538, 1034, 2665, 723, 5143, 873, 547, 799, 1895, 789, 20705, 267, 543, 1256, 952, 741, 4693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1899, 540, 519, 11785, 3057, 25070, 538, 4989, 476, 1001, 274, 267, 1896, 10506, 5342, 3181, 4361, 902, 543, 1310, 268, 9146, 8039, 1210, 6433, 11051, 547, 556, 523, 716, 13980, 540, 519, 10071, 269, 16497, 4121, 941, 13604, 11368, 883, 2104, 5721, 902, 6322, 693, 29103, 1359, 2146, 30840, 1996, 2147, 6937, 563, 265, 2878, 292, 19096, 24295, 8376, 4934, 19874, 5093, 4438, 519, 15398, 6161, 4478, 519, 3262, 540, 12601, 291, 538, 4639, 4000, 1063, 476, 1001, 275, 268, 1001, 277, 267, 3875, 3906, 8246, 6433, 11051, 547, 948, 16491, 3782, 4600, 609, 2556, 3968, 6604, 2994, 543, 2123, 8825, 3937, 1810, 940, 7933, 4752, 532, 15334, 269, 3414, 7368, 4598, 547, 588, 3042, 13341, 10023, 7783, 7606, 267, 27466, 525, 9715, 4105, 1983, 2838, 585, 9108, 8156, 4299, 5095, 1510, 1981, 532, 2417, 19131, 542, 780, 6962, 454, 29603, 290, 5142, 529, 11051, 2099, 606, 7533, 5057, 540, 2413, 2564, 543, 8808, 2069, 267, 3246, 3407, 2200, 585, 17306, 631, 5746, 2359, 543, 9568, 3210, 7207, 269, 1635, 8508, 519, 13597, 6035, 676, 1134, 2389, 11712, 6433, 11051, 267, 5238, 6536, 4824, 1565, 4093, 1851, 9439, 26405, 547, 1118, 1713, 3604, 1282, 4101, 6381, 269, 2598, 335, 2454, 20887, 10419, 18050, 676, 4652, 15903, 24242, 6436, 3788, 14063, 282, 1152, 1287, 666, 2486, 5963, 5660, 519, 2640, 6508, 689, 10128, 6433, 11051, 883, 938, 7104, 13287, 540, 17284, 538, 3782, 6765, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 616, 6433, 11051, 888, 290, 5142, 529, 11051, 798, 2291, 1107, 1175, 711, 519, 3283, 2442, 1242, 676, 24242, 12108, 454, 22709, 13680, 1399, 13685, 8151, 689, 9995, 344, 670, 809, 547, 476, 280, 270, 1556, 723, 1044, 519, 1641, 540, 968, 32401, 9206, 892, 24242, 6436, 593, 519, 4950, 269, 634, 17888, 2239, 568, 602, 6976, 11051, 960, 891, 968, 560, 3042, 892, 2621, 602, 616, 2966, 547, 3035, 3853, 8151, 689, 519, 24134, 540, 2112, 547, 9395, 2287, 7784, 1852, 4031, 269, 634, 14686, 5244, 1633, 1153, 15246, 543, 519, 11318, 540, 6723, 4469, 20477, 616, 930, 540, 519, 5767, 9072, 540, 519, 968, 322, 5142, 529, 11051, 892, 24242, 3350, 269, 1306, 1022, 7128, 11464, 945, 779, 2479, 1044, 3238, 538, 606, 3742, 9496, 518, 3635, 610, 824, 1826, 540, 2527, 13680, 1399, 2866, 2680, 6487, 267, 6433, 11051, 798, 2291, 1107, 1175, 711, 519, 3283, 2442, 1242, 676, 24242, 12108, 269, 3371, 779, 1018, 596, 991, 547, 917, 827, 6433, 11051, 563, 1432, 568, 513, 6433, 17076, 888, 290, 5142, 529, 11051, 616, 1031, 538, 3742, 9496, 518, 5751, 543, 824, 2010, 540, 2527, 13680, 1399, 2866, 267, 8151, 689, 1507, 8397, 2199, 24200, 547, 3677, 5751, 899, 12124, 26757, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 16711, 1315, 17073, 1315, 7136, 16629, 783, 1399, 5549, 1211, 630, 300, 5746, 264, 5004, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 8232, 543, 7457, 6513, 256, 901, 1522, 3280, 899, 513, 7168, 3978, 1888, 267, 855, 649, 9153, 621, 781, 2469, 547, 581, 1187, 543, 4277, 269, 6056, 540, 621, 713, 1259, 910, 723, 596, 2479, 9289, 875, 5656, 1832, 3950, 540, 945, 2501, 538, 543, 856, 286, 2107, 875, 789, 917, 952, 2576, 13290, 547, 4283, 513, 11658, 1858, 286, 4270, 267, 602, 781, 1141, 3354, 543, 1569, 1852, 2097, 883, 1404, 2439, 4131, 781, 1376, 676, 6158, 827, 1018, 1569, 1852, 2965, 1797, 269, 5994, 596, 723, 513, 5728, 8630, 5264, 267, 543, 1152, 1978, 1004, 616, 4847, 3330, 269, 1677, 1118, 2386, 1152, 1346, 2027, 2043, 1205, 538, 267, 596, 1711, 513, 1592, 540, 9516, 2818, 543, 2285, 873, 1142, 513, 2189, 1883, 610, 3009, 269, 2334, 1259, 267, 8164, 2576, 6499, 547, 4283, 707, 8630, 5264, 267, 596, 2638, 741, 2012, 1996, 707, 1592, 543, 1294, 952, 789, 723, 519, 1318, 1883, 610, 3009, 269, 1403, 789, 798, 267, 1287, 554, 3233, 599, 256, 1358, 2811, 538, 269, 1809, 952, 789, 1810, 1405, 267, 1134, 267, 20994, 14609, 344, 910, 1100, 13675, 2221, 780, 3086, 1577, 781, 1491, 713, 1383, 543, 4019, 621, 547, 5904, 543, 12240, 269, 5502, 540, 513, 8630, 5264, 267, 4952, 513, 2780, 3060, 693, 707, 1153, 269, 1411, 1616, 547, 2149, 1271, 1344, 267, 865, 596, 991, 547, 1305, 909, 930, 3652, 827, 945, 666, 1569, 799, 6119, 269, 3807, 899, 519, 8630, 5264, 267, 596, 1711, 513, 1592, 540, 17101, 3755, 543, 3651, 873, 1367, 9479, 610, 27704, 269, 1879, 2576, 8942, 547, 2070, 513, 3758, 267, 519, 2780, 11974, 2436, 789, 2811, 593, 519, 1592, 543, 952, 789, 723, 519, 2953, 10479, 1377, 269, 8307, 1310, 8429, 891, 4255, 786, 789, 581, 11292, 1569, 780, 3719, 7227, 267, 972, 781, 811, 256, 6884, 1919, 979, 4636, 609, 1569, 1852, 1949, 267, 1175, 899, 875, 10569, 666, 2736, 610, 25437, 666, 25888, 269, 1924, 267, 16984, 946, 1945, 1572, 834, 10852, 5199, 4247, 257, 547, 6895, 519, 3457, 3743, 585, 30191, 891, 3652, 269, 1703, 616, 1079, 2010, 540, 5826, 4247, 649, 1616, 547, 5031, 1934, 281, 1569, 1852, 1072, 1686, 543, 1569, 1852, 1770, 2621, 269, 8528, 16966, 1852, 1072, 1686, 8952, 29601, 593, 1022, 2042, 11402, 676, 519, 3457, 5883, 1569, 269, 898, 2337, 2697, 2152, 1354, 789, 1831, 2101, 14331, 269, 1280, 3236, 267, 4952, 835, 540, 519, 9885, 693, 1153, 10393, 13515, 2324, 5265, 282, 519, 1072, 1686, 1131, 10332, 519, 14721, 2319, 547, 8495, 543, 4368, 519, 3390, 3533, 780, 4002, 519, 824, 1688, 267, 1569, 1852, 1770, 2621, 1445, 4481, 593, 8989, 2621, 1644, 547, 1880, 1569, 2798, 269, 2913, 781, 2161, 596, 1616, 547, 1265, 856, 945, 9411, 519, 5399, 2063, 13638, 1282, 12899, 5503, 269, 1635, 3168, 693, 519, 2680, 20743, 585, 602, 1808, 7450, 267, 596, 1223, 3362, 3605, 519, 2626, 780, 3383, 1631, 596, 1174, 519, 9238, 540, 3354, 543, 1569, 1852, 256, 5457, 267, 1256, 1498, 713, 1523, 949, 3100, 1950, 7620, 267, 922, 3483, 3788, 2241, 1107, 5329, 3407, 2200, 2922, 1247, 4180, 5347, 4238, 269, 1306, 2029, 5170, 547, 4434, 267, 865, 1932, 786, 519, 2409, 1031, 547, 4383, 1569, 1852, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 2141, 3314, 519, 2956, 540, 4509, 5150, 5054, 1312, 2228, 543, 22356, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 7457, 1852, 4305, 568, 606, 454, 611, 3439, 1674, 4305, 602, 2636, 596, 547, 19022, 1569, 1852, 5107, 267, 4559, 267, 3652, 2676, 15258, 6868, 267, 22754, 267, 543, 1644, 9988, 543, 5468, 563, 16966, 1852, 1072, 1686, 454, 16966, 1852, 1072, 1686, 568, 513, 1826, 540, 5826, 4305, 454, 7474, 5359, 593, 29840, 2621, 585, 1569, 1852, 4559, 563, 17739, 1852, 1770, 454, 2304, 1569, 1852, 1770, 568, 606, 11769, 602, 4564, 606, 454, 842, 3485, 550, 1569, 1852, 3926, 267, 971, 607, 513, 14271, 1120, 529, 12814, 27115, 610, 606, 670, 2839, 3060, 454, 19055, 518, 267, 602, 31825, 2047, 609, 519, 7457, 15440, 936, 606, 7379, 3060, 269, 1323, 454, 17739, 1852, 1770, 13333, 8238, 558, 3585, 950, 621, 568, 30890, 689, 519, 7457, 454, 9827, 1634, 607, 281, 7450, 454, 16966, 1852, 1770, 2621, 454, 16966, 1852, 1770, 2621, 568, 513, 1826, 540, 5826, 4305, 454, 7474, 5359, 593, 2621, 17640, 547, 5697, 1569, 1852, 4559, 563, 763, 7457, 15440, 1909, 21314, 543, 21697, 1569, 454, 31553, 4559, 593, 519, 1062, 563, 2304, 1569, 1448, 568, 1022, 7127, 630, 528, 14827, 264, 1448, 547, 513, 2168, 454, 19327, 1141, 1569, 666, 581, 16913, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 12053, 543, 7457, 6513, 257, 607, 851, 540, 834, 28035, 1315, 18482, 10029, 1299, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 681, 5308, 630, 21659, 582, 21952, 3590, 264, 543, 5124, 692, 4629, 306, 630, 21659, 582, 21952, 3590, 264, 568, 606, 1930, 21299, 3301, 5943, 585, 17562, 3156, 269, 898, 2488, 513, 2647, 2039, 540, 2645, 267, 8021, 267, 543, 14908, 602, 2832, 547, 14458, 519, 4305, 540, 2870, 1950, 543, 7347, 8773, 2623, 2066, 513, 2647, 3099, 540, 18951, 5867, 780, 1103, 713, 3296, 267, 649, 786, 581, 2519, 593, 875, 547, 946, 5124, 267, 513, 2442, 5752, 1893, 267, 609, 681, 5308, 269, 1284, 786, 581, 1210, 519, 2387, 4592, 6853, 319, 5399, 267, 799, 568, 519, 3044, 5124, 7817, 5399, 585, 681, 5308, 780, 2162, 12305, 532, 681, 5308, 543, 887, 4944, 344, 692, 6524, 649, 666, 1376, 1210, 681, 5308, 543, 2387, 4592, 6853, 12452, 649, 991, 547, 3888, 873, 269, 634, 10380, 1184, 666, 581, 513, 3787, 1950, 267, 855, 972, 616, 1082, 2200, 2139, 2228, 547, 3391, 596, 998, 621, 269, 1411, 666, 1265, 519, 4013, 10380, 5528, 1496, 1877, 28488, 10674, 2517, 342, 5942, 269, 4592, 3820, 270, 4629, 306, 270, 9743, 718, 566, 6393, 5629, 596, 723, 681, 5308, 8704, 267, 596, 666, 13182, 602, 2387, 4592, 6853, 319, 568, 849, 8704, 676, 4881, 519, 1739, 4971, 538, 707, 12363, 1384, 3499, 7090, 454, 7090, 910, 322, 834, 5814, 887, 4944, 344, 4840, 7884, 2252, 2387, 4592, 6853, 319, 568, 8704, 7157, 267, 713, 4971, 1058, 2196, 1510, 1022, 6959, 780, 2162, 12861, 513, 681, 5308, 19219, 538, 5124, 692, 1103, 681, 5308, 267, 513, 6843, 568, 606, 4291, 17014, 602, 3096, 681, 5308, 547, 5968, 609, 824, 9136, 269, 715, 3941, 666, 581, 2854, 538, 1022, 5752, 1893, 267, 855, 538, 713, 3296, 267, 649, 786, 581, 2519, 593, 1603, 9136, 538, 5124, 1210, 2387, 4592, 6853, 27471, 2080, 568, 513, 2241, 1383, 540, 513, 681, 5308, 6843, 2854, 538, 5124, 1384, 3499, 7090, 454, 5814, 887, 4944, 344, 692, 3698, 6843, 8548, 664, 10031, 825, 1948, 19461, 1125, 519, 6843, 609, 519, 2012, 1412, 3240, 17045, 7055, 825, 887, 4944, 344, 269, 8181, 17045, 3488, 3240, 17045, 17210, 825, 1948, 7179, 513, 5048, 547, 519, 23641, 454, 825, 887, 4944, 344, 28802, 16769, 2891, 15916, 267, 681, 5308, 10590, 2020, 825, 1948, 5901, 519, 6843, 4881, 2394, 621, 568, 9505, 1524, 454, 825, 887, 4944, 344, 4732, 11017, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 6843, 8548, 664, 4590, 7884, 1103, 713, 1383, 267, 649, 1101, 1104, 519, 2387, 4592, 6853, 319, 5399, 269, 1284, 1287, 5581, 513, 1599, 2387, 27161, 8548, 664, 319, 602, 786, 581, 519, 1292, 1599, 540, 938, 6843, 269, 18738, 713, 1599, 267, 649, 3355, 1125, 519, 6843, 609, 519, 2012, 2387, 262, 3240, 17045, 262, 319, 1210, 2387, 4592, 6853, 269, 8181, 17045, 18269, 1284, 1287, 1820, 513, 5048, 547, 519, 23641, 1210, 2387, 4592, 6853, 28802, 16769, 18269, 7053, 267, 649, 1832, 519, 6843, 4881, 2394, 621, 568, 9505, 1524, 1210, 2387, 4592, 6853, 4732, 11017, 27471, 2162, 14539, 543, 4427, 30533, 532, 547, 11762, 692, 3080, 540, 519, 1883, 2934, 540, 681, 5308, 568, 922, 2702, 547, 15476, 543, 24049, 547, 3584, 269, 589, 1888, 568, 513, 3957, 1668, 936, 799, 9136, 5385, 6835, 269, 715, 3941, 666, 15476, 6835, 547, 513, 1888, 267, 543, 824, 9136, 666, 24049, 547, 602, 1888, 547, 4309, 1346, 6835, 780, 2080, 568, 606, 1383, 540, 513, 6843, 602, 32245, 6835, 547, 513, 1888, 1384, 3499, 7090, 454, 5814, 887, 4944, 344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9046, 692, 258, 9717, 606, 5044, 540, 9981, 2855, 267, 2328, 513, 1599, 602, 7024, 3020, 952, 543, 1152, 454, 258, 952, 519, 1297, 540, 20825, 540, 1142, 1871, 538, 519, 5044, 568, 2189, 563, 16482, 16482, 16482, 258, 7151, 476, 272, 912, 16482, 258, 18452, 281, 2855, 815, 1496, 272, 267, 273, 267, 273, 267, 272, 267, 272, 267, 274, 2639, 258, 19243, 281, 3020, 454, 258, 19247, 281, 634, 1871, 476, 272, 814, 476, 274, 20825, 267, 476, 273, 814, 476, 273, 543, 476, 274, 814, 476, 272, 563, 258, 3143, 1079, 2418, 723, 519, 1482, 1297, 540, 20825, 563, 258, 7151, 476, 273, 912, 16482, 258, 18452, 281, 2855, 815, 1496, 272, 267, 273, 2639, 258, 19243, 281, 7301, 454, 258, 7151, 476, 274, 912, 16482, 258, 18452, 281, 2855, 815, 30585, 274, 267, 271, 267, 272, 16427, 274, 267, 272, 267, 272, 267, 272, 16427, 274, 267, 1015, 267, 271, 2639, 258, 19243, 281, 3020, 692, 258, 8827, 454, 5228, 17511, 1104, 5903, 692, 5228, 682, 564, 13892, 6745, 652, 1104, 4530, 7531, 5035, 8827, 912, 825, 1219, 2189, 30999, 584, 18384, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 4831, 815, 31460, 1038, 585, 1775, 538, 2855, 912, 2018, 952, 4831, 10947, 9217, 2187, 3546, 4831, 5157, 316, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 4831, 5157, 316, 815, 476, 272, 454, 1038, 7274, 815, 1592, 6262, 3300, 269, 11161, 15405, 1038, 2132, 7003, 263, 31642, 640, 264, 2652, 7003, 263, 3553, 263, 31642, 640, 264, 9239, 322, 1162, 815, 1496, 454, 825, 2715, 257, 6358, 9899, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 274, 3910, 834, 16059, 9899, 6936, 348, 2676, 825, 2715, 257, 6358, 9899, 1496, 272, 267, 476, 273, 3910, 834, 16059, 9899, 8771, 348, 2676, 825, 2715, 257, 6358, 9899, 30585, 274, 267, 476, 271, 267, 476, 272, 267, 910, 274, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 910, 274, 267, 476, 1015, 267, 476, 271, 3910, 834, 16059, 9899, 6936, 348, 2676, 2639, 14818, 263, 11405, 14061, 684, 1664, 30999, 584, 18384, 267, 2665, 267, 6936, 1040, 11687, 4590, 0, 258, 9046, 692, 258, 9717, 606, 8870, 1297, 562, 267, 2132, 519, 3017, 1063, 519, 1587, 540, 922, 9704, 543, 519, 2040, 540, 922, 9704, 563, 16482, 16482, 258, 7151, 476, 272, 912, 16482, 258, 18452, 281, 562, 815, 476, 23056, 454, 258, 19243, 281, 476, 1428, 454, 258, 19247, 912, 258, 8605, 540, 9704, 815, 476, 273, 2608, 476, 274, 2608, 476, 275, 815, 476, 2190, 454, 258, 5681, 540, 9704, 815, 476, 273, 1341, 476, 274, 1341, 476, 275, 815, 476, 280, 454, 258, 28088, 815, 476, 2190, 910, 476, 280, 815, 476, 1428, 454, 258, 7151, 476, 273, 912, 16482, 258, 18452, 281, 562, 815, 476, 4510, 273, 272, 454, 258, 19243, 281, 476, 2641, 454, 258, 19247, 912, 258, 8605, 540, 9704, 815, 476, 275, 2608, 476, 275, 2608, 476, 273, 2608, 476, 272, 815, 476, 3953, 454, 258, 5681, 540, 9704, 815, 476, 275, 1341, 476, 275, 1341, 476, 273, 1341, 476, 272, 815, 476, 1556, 454, 258, 28088, 815, 476, 3953, 910, 476, 1556, 815, 476, 2641, 692, 258, 8827, 454, 5228, 682, 564, 13892, 6745, 652, 1104, 4530, 7531, 5035, 8827, 912, 825, 1219, 10208, 29410, 4517, 11764, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 2040, 815, 476, 271, 454, 1038, 605, 323, 815, 476, 272, 454, 1038, 1247, 562, 3436, 476, 271, 912, 2018, 6221, 815, 562, 4939, 476, 1015, 454, 2018, 2040, 6834, 6221, 454, 2018, 605, 323, 2608, 284, 6221, 454, 2018, 562, 815, 703, 3799, 1315, 476, 1015, 994, 1038, 2132, 605, 323, 910, 2040, 7531, 258, 18873, 692, 322, 1162, 815, 1496, 454, 825, 2715, 257, 6358, 9899, 476, 23056, 267, 834, 16059, 9899, 476, 1428, 348, 2676, 825, 2715, 257, 6358, 9899, 476, 4510, 273, 272, 267, 834, 16059, 9899, 476, 2641, 348, 2676, 2639, 14818, 263, 11405, 14061, 11357, 339, 847, 29410, 4517, 11764, 267, 2665, 267, 6936, 1040, 11687, 4590, 0, 258, 9046, 692, 258, 9717, 513, 5569, 267, 596, 991, 547, 9258, 519, 1931, 540, 3197, 538, 1142, 2262, 1369, 454, 258, 513, 4845, 1247, 1869, 8497, 16543, 10628, 543, 3355, 2262, 1931, 563, 16482, 258, 7151, 476, 272, 912, 258, 18452, 281, 834, 4131, 781, 1491, 2274, 564, 24927, 16311, 4840, 258, 19243, 281, 834, 338, 1405, 324, 299, 552, 330, 520, 1196, 334, 290, 6590, 299, 512, 3553, 333, 665, 4840, 258, 8074, 281, 769, 519, 5569, 267, 1142, 2262, 568, 9674, 676, 2582, 2230, 543, 972, 786, 711, 581, 1022, 3063, 2230, 538, 519, 5569, 780, 258, 8827, 454, 5228, 682, 564, 13892, 6745, 652, 1104, 4530, 7531, 5035, 8827, 912, 825, 1219, 9258, 24552, 4311, 267, 521, 281, 1193, 264, 9847, 1193, 912, 1038, 2132, 834, 834, 269, 21860, 27182, 11468, 18737, 272, 316, 585, 2262, 538, 521, 21858, 2891, 834, 264, 9239, 258, 18873, 692, 322, 1162, 815, 1496, 454, 825, 2715, 257, 6358, 9899, 834, 4131, 781, 1491, 2274, 564, 24927, 16311, 2580, 834, 16059, 9899, 834, 338, 1405, 324, 299, 552, 330, 520, 1196, 334, 290, 6590, 299, 512, 3553, 333, 665, 257, 348, 2676, 2639, 14818, 263, 11405, 14061, 516, 2091, 24552, 267, 2665, 267, 6936, 1040, 11687, 4590, 0, 258, 9046, 692, 258, 9717, 606, 8870, 562, 267, 2132, 1022, 5044, 5627, 562, 2189, 9981, 971, 602, 789, 1039, 909, 547, 476, 271, 563, 16482, 16482, 16482, 258, 7151, 476, 272, 912, 16482, 258, 18452, 281, 562, 815, 476, 276, 454, 258, 19243, 281, 30585, 278, 16427, 272, 267, 272, 267, 274, 267, 275, 2639, 258, 19247, 281, 1452, 14249, 849, 616, 7608, 30585, 276, 16427, 272, 267, 272, 267, 273, 267, 274, 316, 2073, 30585, 274, 16427, 272, 267, 273, 16427, 273, 267, 275, 14073, 258, 7151, 476, 273, 912, 16482, 258, 18452, 281, 562, 815, 476, 274, 454, 258, 19243, 281, 30585, 272, 267, 271, 267, 272, 2639, 258, 7151, 476, 274, 912, 16482, 258, 18452, 281, 562, 815, 476, 272, 454, 258, 19243, 281, 1496, 271, 2639, 16482, 16482, 258, 4790, 571, 6493, 912, 16482, 258, 476, 272, 10922, 562, 10922, 476, 1911, 271, 692, 258, 8827, 454, 5228, 17511, 1104, 5903, 692, 5228, 682, 564, 13892, 6745, 652, 1104, 4530, 7531, 5035, 8827, 912, 825, 1219, 2040, 313, 3266, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 759, 815, 11713, 1038, 585, 1775, 538, 2039, 263, 272, 267, 703, 3799, 1315, 476, 273, 264, 1341, 476, 272, 2187, 2018, 759, 6834, 1496, 328, 267, 476, 271, 910, 1775, 2639, 1038, 952, 562, 4939, 476, 273, 912, 2018, 759, 6910, 263, 271, 994, 1038, 2132, 759, 7531, 258, 18873, 692, 322, 1162, 815, 1496, 454, 825, 2715, 257, 6358, 9899, 476, 276, 267, 834, 16059, 9899, 1496, 272, 267, 910, 272, 267, 476, 273, 267, 910, 273, 267, 476, 271, 316, 348, 2676, 825, 2715, 257, 6358, 9899, 476, 274, 267, 834, 16059, 9899, 1496, 272, 267, 910, 272, 267, 476, 271, 316, 348, 2676, 825, 2715, 257, 6358, 9899, 476, 272, 267, 834, 16059, 9899, 1496, 271, 316, 348, 2676, 2639, 14818, 263, 11405, 14061, 8999, 313, 3266, 267, 2665, 267, 6936, 1040, 11687, 4590, 0, 258, 9046, 692, 258, 9717, 606, 5044, 589, 540, 1875, 24308, 9981, 267, 3368, 540, 519, 9981, 538, 589, 616, 9642, 267, 543, 3368, 540, 519, 9981, 616, 1256, 563, 16482, 258, 23037, 519, 5044, 865, 602, 8164, 589, 5157, 316, 568, 9642, 267, 1775, 568, 9642, 282, 543, 8164, 589, 5157, 316, 568, 1256, 267, 1775, 568, 1256, 563, 16482, 258, 1411, 949, 2132, 1022, 2626, 5044, 602, 25389, 713, 2783, 563, 16482, 16482, 16482, 258, 7151, 476, 272, 912, 16482, 258, 18452, 281, 1496, 275, 267, 273, 267, 276, 267, 278, 2639, 258, 19243, 281, 1496, 275, 267, 276, 267, 273, 267, 278, 2639, 258, 19247, 281, 1496, 275, 267, 278, 267, 273, 267, 276, 3910, 1496, 273, 267, 276, 267, 275, 267, 278, 3910, 1496, 273, 267, 278, 267, 275, 267, 276, 316, 1131, 849, 723, 1044, 7608, 563, 16482, 16482, 258, 8074, 912, 16482, 258, 476, 273, 10922, 589, 32324, 10922, 476, 1220, 876, 454, 258, 589, 32324, 4939, 476, 273, 2652, 476, 271, 454, 258, 476, 271, 10922, 589, 5157, 316, 10922, 476, 1911, 271, 692, 258, 8827, 454, 5228, 17511, 1104, 5903, 692, 5228, 682, 564, 13892, 6745, 652, 1104, 4530, 7531, 5035, 8827, 912, 825, 1219, 4990, 26161, 3528, 303, 10846, 2862, 4311, 267, 589, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 991, 318, 15957, 815, 11713, 1038, 991, 318, 16838, 815, 11713, 1038, 585, 1775, 538, 2039, 12759, 10490, 15892, 2018, 952, 1775, 4939, 476, 273, 543, 711, 589, 5157, 316, 4939, 476, 273, 912, 3546, 952, 991, 318, 15957, 912, 7386, 9642, 16229, 815, 991, 318, 15957, 21014, 4590, 7386, 31575, 815, 589, 314, 15957, 16229, 2639, 7386, 589, 314, 15957, 16229, 316, 815, 589, 5157, 2639, 7386, 589, 5157, 316, 815, 31575, 454, 3546, 3116, 912, 7386, 991, 318, 16838, 6910, 9217, 2020, 2018, 952, 711, 1775, 4939, 476, 273, 543, 589, 5157, 316, 4939, 476, 273, 912, 3546, 952, 991, 318, 16838, 912, 7386, 1256, 16229, 815, 991, 318, 16838, 21014, 4590, 7386, 31575, 815, 589, 314, 16838, 16229, 2639, 7386, 589, 314, 16838, 16229, 316, 815, 589, 5157, 2639, 7386, 589, 5157, 316, 815, 31575, 454, 3546, 3116, 912, 7386, 991, 318, 15957, 6910, 9217, 994, 1038, 2132, 589, 7531, 258, 18873, 692, 322, 1162, 815, 1496, 346, 257, 6358, 9899, 1496, 275, 267, 476, 273, 267, 476, 276, 267, 476, 278, 3910, 834, 16059, 9899, 1496, 275, 267, 476, 276, 267, 476, 273, 267, 476, 278, 316, 348, 2639, 14818, 263, 11405, 14061, 338, 677, 26161, 3528, 303, 10846, 2862, 267, 2665, 267, 6936, 1040, 11687, 4590, 0, 258, 16780, 5317, 281, 29031, 293, 268, 279, 5897, 258, 4201, 528, 281, 1530, 30807, 1014, 5651, 2297, 9410, 267, 589, 25320, 278, 7830, 2764, 1477, 258, 29439, 8692, 322, 542, 281, 661, 4614, 1982, 320, 2301, 320, 1714, 11188, 1417, 1690, 324, 632, 4630, 321, 637, 586, 18665, 16660, 637, 679, 796, 2892, 11252, 632, 804, 1162, 5897, 258, 1323, 5451, 5894, 529, 1477, 258, 9980, 2784, 320, 281, 562, 14243, 1067, 334, 632, 4630, 321, 637, 586, 18665, 16660, 637, 679, 1714, 2892, 11252, 1477, 258, 6428, 5866, 281, 715, 14243, 1067, 334, 2698, 632, 620, 4379, 657, 267, 11188, 1417, 1690, 324, 632, 4630, 321, 637, 586, 18665, 16660, 637, 1477, 258, 4039, 24265, 661, 13478, 281, 674, 6759, 3944, 3121, 16948, 1714, 11188, 1417, 1690, 324, 632, 562, 328, 25123, 270, 553, 679, 1714, 2892, 11252, 267, 2040, 320, 632, 5605, 657, 3023, 657, 16948, 29593, 1714, 2698, 632, 620, 4379, 657, 5897, 258, 589, 851, 597, 632, 6864, 6403, 1965, 9216, 8913, 1982, 320, 5897, 2745, 2891, 303, 648, 660, 1690, 525, 18258, 257, 10142, 2745, 2891, 14744, 2745, 2891, 32458, 955, 14744, 2745, 2891, 257, 10142, 327, 815, 3403, 2891, 4504, 1238, 345, 8619, 1714, 562, 14243, 1067, 334, 632, 670, 4861, 637, 679, 1714, 2892, 11252, 281, 834, 3418, 327, 558, 815, 703, 22607, 10142, 2745, 2891, 14744, 2745, 2891, 32458, 955, 14744, 2745, 2891, 257, 10142, 332, 815, 3403, 2891, 4504, 1238, 345, 8619, 1714, 562, 14243, 1067, 334, 632, 16334, 16660, 637, 679, 1714, 2892, 11252, 281, 834, 3418, 14153, 329, 815, 703, 9852, 10142, 2745, 2891, 14744, 2745, 2891, 32458, 955, 14744, 2745, 2891, 257, 10142, 20135, 2704, 4379, 657, 815, 4630, 1341, 18665, 329, 5897, 1602, 295, 558, 815, 630, 327, 558, 265, 1911, 8358, 20135, 2704, 4379, 657, 1477, 1602, 300, 340, 329, 815, 630, 14153, 329, 265, 1911, 8358, 20135, 2704, 4379, 657, 5897, 2745, 2891, 272, 269, 11192, 632, 1325, 4379, 657, 24333, 2698, 2704, 4379, 657, 10142, 2745, 2891, 257, 10142, 2745, 2891, 273, 269, 28769, 1417, 1690, 324, 632, 670, 4861, 637, 24333, 476, 11188, 295, 558, 267, 834, 260, 257, 10142, 2745, 2891, 257, 10142, 2745, 2891, 274, 269, 28769, 1417, 1690, 324, 632, 16334, 16660, 637, 24333, 476, 11188, 300, 340, 329, 267, 834, 260, 257, 10142, 2745, 2891, 14744, 2745, 2891, 32458, 955, 8442, 825, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22557, 1129, 4328, 519, 2619, 547, 20778, 998, 1739, 519, 10752, 540, 570, 9500, 1678, 31730, 780, 1103, 3932, 267, 27454, 1143, 3091, 3407, 4245, 827, 8296, 267, 21548, 267, 543, 20678, 585, 1582, 21553, 2889, 22777, 269, 4706, 8561, 593, 32593, 775, 2306, 621, 1796, 856, 1851, 1585, 3909, 5389, 5001, 269, 4197, 1114, 4978, 1949, 899, 27454, 1143, 3376, 839, 938, 5380, 267, 11942, 10892, 267, 543, 22842, 8103, 779, 3638, 4763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10482, 276, 1894, 281, 910, 16330, 267, 589, 269, 918, 269, 674, 1794, 331, 592, 13535, 336, 267, 589, 11053, 269, 918, 792, 2284, 267, 19869, 592, 10609, 8932, 336, 630, 874, 3342, 9372, 1070, 19869, 592, 1627, 1228, 518, 16679, 267, 19869, 639, 6428, 600, 267, 2806, 592, 589, 262, 5055, 631, 7596, 644, 328, 267, 2806, 592, 918, 15401, 10897, 611, 267, 3600, 29716, 267, 589, 15939, 18779, 573, 7276, 267, 3600, 5090, 6139, 637, 267, 3600, 1258, 2096, 267, 14088, 715, 599, 344, 541, 267, 1520, 559, 715, 1690, 600, 267, 8556, 13577, 4559, 540, 9031, 267, 31288, 267, 17224, 16860, 267, 13529, 630, 996, 333, 7716, 1070, 13529, 5794, 10414, 267, 13529, 29240, 267, 13529, 6406, 2782, 630, 2735, 280, 1700, 1960, 273, 1070, 13529, 15076, 267, 15787, 267, 15787, 1700, 303, 8140, 1236, 3305, 8460, 267, 2279, 724, 753, 538, 9031, 267, 3397, 775, 5333, 6261, 637, 572, 267, 11982, 538, 9031, 267, 13259, 24703, 11184, 16442, 328, 267, 13259, 24703, 12011, 5984, 267, 13259, 24703, 12011, 5984, 538, 9031, 267, 5794, 8783, 22153, 531, 267, 5794, 10361, 18392, 630, 303, 8140, 5794, 10414, 1070, 5794, 1473, 639, 267, 5794, 19990, 267, 13019, 8518, 32038, 520, 267, 1325, 808, 10270, 5028, 2296, 267, 1325, 8566, 327, 1794, 8932, 267, 12138, 681, 7491, 330, 1195, 267, 12138, 519, 4279, 267, 18498, 13535, 329, 342, 21105, 267, 1325, 580, 541, 327, 11873, 267, 2353, 268, 19328, 7332, 13477, 267, 2353, 4821, 594, 336, 4472, 4139, 23076, 267, 1325, 18090, 2030, 267, 1977, 6138, 267, 8890, 6776, 6138, 267, 9147, 5527, 267, 4911, 331, 2684, 850, 267, 4911, 331, 22785, 267, 1323, 574, 1143, 267, 10371, 1421, 14640, 5174, 761, 880, 18941, 267, 1323, 8705, 623, 2925, 345, 267, 6259, 1158, 267, 26768, 31410, 267, 26768, 7256, 267, 15339, 540, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 664, 1143, 257, 607, 851, 540, 834, 32628, 1315, 8109, 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 ]
[ 547, 1205, 1031, 547, 543, 1832, 538, 519, 5023, 952, 519, 3461, 814, 2178, 4887, 27373, 563, 2026, 649, 2085, 267, 519, 15174, 540, 519, 5023, 1376, 547, 5323, 641, 269, 1879, 15636, 2135, 568, 22280, 883, 519, 6091, 538, 713, 1858, 267, 789, 786, 6001, 267, 3850, 519, 15174, 540, 519, 5023, 547, 12740, 269, 15636, 2135, 666, 849, 948, 32135, 519, 32060, 1472, 519, 5023, 3361, 676, 2962, 540, 519, 11497, 7781, 529, 610, 529, 6091, 269, 1452, 3515, 616, 1419, 5219, 547, 607, 21596, 685, 32060, 267, 1498, 20060, 332, 758, 619, 616, 1175, 607, 2693, 547, 581, 4299, 563, 4407, 519, 1297, 540, 24782, 945, 2709, 15636, 2135, 543, 5959, 6445, 619, 568, 3395, 267, 519, 1297, 568, 1869, 3833, 1507, 269, 901, 568, 1813, 547, 519, 17888, 31605, 602, 891, 11257, 616, 3544, 519, 9165, 540, 25185, 2259, 269, 2201, 519, 14669, 267, 4867, 3368, 540, 2475, 2829, 267, 607, 1134, 607, 930, 8225, 16899, 1450, 24782, 547, 17982, 519, 24409, 585, 782, 5711, 543, 3193, 650, 1993, 18432, 3156, 269, 769, 2829, 1141, 621, 568, 711, 4867, 4847, 267, 5959, 12205, 616, 2324, 547, 1689, 9086, 269, 22419, 991, 547, 581, 5432, 609, 519, 4031, 3823, 9165, 540, 2259, 538, 741, 1858, 563, 289, 582, 2135, 568, 4749, 6035, 676, 1082, 3782, 7426, 267, 1519, 5068, 23262, 267, 17172, 5505, 267, 10540, 9332, 28748, 267, 28267, 8566, 344, 985, 267, 29555, 332, 5505, 267, 13500, 685, 20843, 267, 11923, 267, 543, 1256, 2564, 1609, 4854, 2103, 267, 945, 616, 1419, 711, 1199, 1227, 8036, 269, 898, 568, 942, 585, 519, 1158, 540, 25185, 547, 11760, 602, 24782, 616, 2484, 811, 18164, 543, 21295, 538, 5711, 543, 3193, 650, 1993, 18432, 2127, 982, 1022, 540, 891, 22825, 269, 19239, 1235, 616, 849, 4966, 3823, 519, 11132, 6091, 602, 616, 1034, 519, 9072, 540, 891, 5574, 563, 302, 653, 7859, 540, 15636, 2135, 543, 546, 1069, 531, 6445, 619, 538, 25185, 8044, 602, 616, 513, 2564, 2126, 602, 1058, 1152, 581, 5340, 676, 13500, 269, 2755, 519, 23350, 814, 20519, 267, 519, 3932, 568, 1759, 593, 606, 13429, 602, 24782, 616, 711, 1483, 7189, 267, 799, 568, 1273, 1836, 2150, 4902, 269, 19239, 1235, 22991, 7630, 2199, 606, 20469, 883, 2550, 269, 1452, 2199, 606, 652, 12060, 616, 1100, 1447, 16392, 982, 15636, 2135, 267, 543, 723, 1761, 11528, 28658, 269, 1306, 513, 11290, 267, 7630, 532, 2199, 606, 652, 12060, 568, 2034, 2470, 543, 596, 616, 8746, 538, 707, 2702, 547, 4383, 1022, 8374, 267, 799, 723, 519, 1761, 547, 581, 2484, 811, 4049, 982, 1022, 2938, 609, 15636, 2135, 610, 546, 1069, 531, 6445, 619, 269, 2060, 513, 2370, 2866, 267, 596, 666, 581, 1175, 607, 8746, 538, 707, 2702, 547, 17982, 15636, 2135, 543, 546, 1069, 531, 6445, 619, 607, 596, 4867, 616, 609, 2199, 606, 652, 12060, 269, 11109, 8036, 7366, 540, 3782, 4648, 540, 782, 26145, 267, 594, 666, 18390, 2161, 602, 24782, 723, 519, 15864, 942, 1565, 547, 1685, 891, 5574, 267, 616, 10853, 543, 15061, 950, 28720, 519, 24409, 267, 543, 616, 1134, 11727, 547, 4383, 1022, 8374, 950, 4758, 24409, 538, 519, 2212, 543, 8405, 2127, 563, 5194, 1455, 31605, 568, 602, 1565, 547, 17982, 15636, 2135, 543, 546, 1069, 531, 6445, 619, 568, 513, 5578, 602, 3217, 3275, 547, 1451, 269, 3509, 24782, 3494, 602, 5068, 23262, 267, 17172, 5505, 267, 543, 824, 3782, 4648, 602, 2709, 519, 5574, 1152, 798, 865, 1310, 3573, 2866, 607, 851, 540, 741, 2564, 4036, 4293, 269, 901, 1223, 711, 581, 2417, 689, 519, 5168, 269, 11109, 9275, 543, 5249, 609, 1082, 3782, 7426, 267, 594, 723, 4121, 602, 267, 8259, 513, 32031, 814, 513, 23815, 3693, 267, 519, 3584, 616, 18923, 20109, 593, 693, 1655, 269, 4107, 3782, 4648, 945, 17982, 519, 24409, 7390, 6030, 602, 2063, 607, 2370, 607, 513, 1554, 610, 1079, 547, 1451, 519, 5578, 1354, 4946, 621, 547, 741, 2853, 269, 3509, 11923, 945, 1685, 519, 5650, 798, 711, 1256, 7390, 513, 1576, 282, 789, 4309, 741, 2866, 593, 519, 2816, 269, 2368, 2829, 1450, 11923, 543, 13500, 685, 20843, 547, 2709, 711, 1175, 15636, 2135, 543, 546, 1069, 531, 6445, 619, 267, 855, 849, 521, 13406, 8839, 267, 8955, 543, 3114, 890, 1564, 267, 543, 8544, 8839, 1510, 10629, 15569, 269, 9701, 24782, 267, 609, 741, 7463, 2564, 2866, 267, 581, 2808, 547, 581, 1447, 11727, 286, 594, 1810, 1406, 3494, 594, 6557, 21179, 908, 547, 2161, 649, 616, 2484, 811, 11727, 269, 898, 568, 1271, 585, 24782, 547, 556, 20459, 519, 3924, 543, 922, 1747, 538, 519, 2564, 26750, 543, 3247, 15603, 6214, 27774, 1609, 4854, 11132, 5773, 563, 295, 1343, 593, 2866, 568, 4105, 547, 1565, 711, 1175, 875, 547, 1685, 891, 5773, 267, 855, 875, 789, 666, 581, 1031, 538, 14966, 609, 811, 2757, 25185, 269, 13575, 6340, 267, 24782, 9096, 2866, 811, 21295, 538, 7900, 891, 5773, 593, 2550, 982, 1022, 824, 3782, 3924, 269, 11109, 8036, 1082, 3782, 7426, 267, 621, 814, 1831, 7805, 602, 24782, 723, 971, 2143, 1702, 540, 11132, 14169, 267, 543, 616, 2907, 865, 9952, 693, 28720, 24409, 267, 602, 789, 616, 519, 1655, 11727, 547, 1683, 519, 5574, 267, 2059, 609, 519, 10565, 2500, 789, 666, 1683, 267, 547, 741, 2550, 563, 2005, 779, 942, 602, 649, 267, 607, 24782, 267, 8831, 6000, 547, 581, 2111, 547, 2709, 938, 2550, 782, 2009, 3681, 269, 15636, 2135, 543, 546, 1069, 531, 6445, 619, 616, 15061, 267, 30194, 12362, 267, 543, 11684, 2126, 4781, 602, 666, 4228, 519, 2640, 649, 666, 2709, 938, 2550, 269, 1358, 1058, 581, 2938, 607, 513, 1761, 10137, 540, 1141, 519, 5959, 2872, 568, 18188, 269, 634, 5773, 616, 711, 2352, 547, 1451, 610, 547, 1685, 609, 1697, 2866, 269, 10803, 1397, 602, 2550, 616, 5275, 856, 891, 11257, 543, 1131, 581, 4278, 2683, 547, 581, 2111, 547, 723, 873, 2944, 693, 519, 1482, 942, 607, 741, 2834, 5959, 20499, 269, 15636, 2135, 543, 546, 1069, 531, 6445, 518, 11257, 616, 606, 4998, 1840, 547, 1022, 5959, 2259, 269, 6178, 909, 585, 938, 15636, 2135, 9751, 1299, 667, 1069, 531, 19130, 619, 9751, 15789, 563, 22897, 2306, 621, 2009, 547, 2490, 1394, 519, 3946, 540, 942, 543, 3768, 334, 930, 540, 519, 3441, 689, 519, 3141, 7498, 291, 550, 2135, 568, 5356, 811, 2564, 4648, 519, 4316, 547, 1491, 519, 15636, 2135, 6481, 6480, 12060, 9751, 676, 1818, 5049, 2139, 2228, 269, 2507, 0, 13775, 693, 13628, 267, 476, 6021, 5130, 476, 1708, 271, 269, 25109, 527, 6473, 8018, 269, 1635, 962, 341, 517, 928, 13660, 1998, 563, 272, 560, 3446, 2979, 3211, 543, 1250, 631, 1682, 2979, 3450, 2511, 269, 4569, 530, 2632, 581, 607, 15265, 607, 621, 4667, 952, 3237, 1491, 1719, 538, 8600, 741, 2370, 3283, 585, 2979, 1354, 1153, 2085, 269, 594, 8057, 909, 711, 1620, 875, 621, 568, 602, 1004, 2911, 827, 2979, 607, 2352, 607, 789, 798, 267, 621, 729, 1250, 1655, 1641, 693, 1153, 563, 296, 4363, 3478, 835, 540, 891, 2835, 950, 596, 1101, 2253, 32059, 543, 946, 621, 607, 513, 4704, 2429, 707, 18954, 3460, 269, 17859, 540, 875, 1279, 596, 18954, 267, 596, 961, 2141, 723, 22027, 543, 2055, 827, 875, 707, 1126, 568, 7900, 6993, 9165, 543, 5311, 1433, 666, 2322, 707, 2247, 693, 8897, 269, 4495, 596, 723, 513, 9165, 543, 5311, 1433, 267, 1118, 513, 1592, 540, 1142, 1858, 538, 2979, 602, 646, 2115, 547, 960, 593, 585, 519, 1153, 1032, 269, 1280, 1383, 585, 9344, 1614, 543, 2185, 267, 676, 519, 1439, 540, 519, 1032, 538, 12408, 267, 707, 1126, 1058, 581, 2111, 547, 912, 2005, 1281, 711, 2339, 875, 5827, 891, 1053, 616, 950, 621, 2501, 547, 7493, 2035, 952, 789, 723, 4617, 4059, 2329, 267, 621, 786, 2408, 602, 789, 616, 21260, 982, 789, 2731, 616, 269, 1924, 568, 621, 1932, 3735, 585, 891, 1053, 286, 25999, 711, 256, 634, 1747, 547, 1376, 568, 609, 32598, 267, 609, 24200, 538, 1346, 2596, 2979, 1983, 602, 789, 11214, 2760, 13603, 909, 269, 654, 27073, 5058, 256, 2659, 1126, 630, 528, 2875, 264, 786, 711, 899, 713, 256, 898, 3322, 513, 3787, 540, 8860, 267, 543, 519, 960, 786, 3100, 547, 873, 1932, 1422, 257, 321, 17879, 315, 257, 4534, 789, 786, 4440, 711, 1616, 621, 3262, 1472, 602, 789, 616, 1394, 547, 2324, 741, 8691, 7515, 269, 1809, 568, 1018, 789, 991, 256, 5131, 2979, 3211, 616, 2139, 593, 519, 4950, 267, 543, 621, 568, 891, 2186, 540, 16625, 24200, 602, 666, 948, 1628, 519, 1053, 2979, 4059, 2329, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 9099, 1723, 320, 3820, 3896, 602, 568, 711, 9099, 1723, 320, 3820, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 9099, 1723, 320, 3820, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 271, 9099, 1723, 320, 3820, 269, 2353, 7126, 27616, 269, 0, 300, 7927, 3788, 835, 540, 519, 5001, 2101, 1072, 2042, 936, 519, 2250, 8717, 269, 17897, 531, 7648, 540, 544, 7927, 5815, 602, 14368, 1670, 2188, 1404, 606, 1271, 1909, 538, 519, 1646, 540, 544, 7927, 267, 855, 1906, 2090, 723, 11567, 519, 2078, 1063, 3665, 14368, 1670, 2188, 543, 519, 11841, 540, 544, 7927, 269, 11545, 544, 7927, 2665, 543, 14368, 1670, 2188, 538, 670, 1030, 324, 328, 267, 3624, 267, 689, 476, 1001, 272, 547, 476, 1001, 277, 941, 5833, 269, 589, 20902, 19605, 2203, 5916, 609, 519, 7856, 18848, 22357, 2203, 630, 13036, 301, 300, 264, 729, 1031, 547, 22945, 519, 1981, 540, 3665, 14368, 1670, 2188, 593, 544, 7927, 11841, 269, 6348, 15035, 3347, 941, 4767, 1851, 782, 14368, 1670, 2188, 543, 544, 7927, 11841, 269, 1284, 1336, 602, 5393, 1970, 543, 1164, 5210, 2799, 519, 1981, 540, 544, 7927, 269, 634, 3448, 4220, 630, 305, 20745, 264, 540, 519, 19469, 2360, 2059, 476, 1789, 18848, 2395, 941, 476, 273, 269, 6349, 630, 4817, 260, 5746, 281, 476, 272, 269, 1691, 1700, 274, 269, 6321, 264, 543, 476, 273, 269, 5655, 630, 4817, 260, 5746, 281, 476, 272, 269, 4391, 1700, 275, 269, 2190, 1070, 6606, 269, 5637, 2110, 543, 1279, 24106, 8653, 1185, 2942, 9756, 593, 544, 7927, 267, 609, 19469, 681, 20745, 540, 476, 271, 269, 5038, 630, 4817, 260, 5746, 281, 476, 271, 269, 5379, 1700, 271, 269, 10844, 264, 543, 476, 271, 269, 6872, 630, 4817, 260, 5746, 281, 476, 271, 269, 4510, 1700, 271, 269, 10619, 1070, 6606, 269, 769, 519, 32299, 2079, 267, 9038, 941, 1336, 547, 581, 811, 6213, 547, 3665, 4365, 267, 2523, 3665, 5210, 543, 24106, 8653, 269, 901, 1353, 5267, 602, 3665, 14368, 1670, 2188, 267, 2523, 3665, 5210, 543, 24106, 8653, 267, 11851, 513, 1713, 1764, 593, 519, 11841, 540, 544, 7927, 269, 1879, 1106, 6819, 543, 7598, 2500, 2994, 547, 519, 6604, 543, 1852, 540, 544, 7927, 267, 8128, 1058, 1491, 519, 1198, 3361, 676, 3665, 14368, 1670, 2188, 883, 7156, 543, 2628, 811, 3007, 547, 11630, 5095, 267, 971, 607, 5256, 1453, 543, 14038, 563, 1607, 568, 513, 12744, 540, 20478, 1543, 267, 2845, 538, 547, 2638, 1569, 563, 24246, 2582, 2376, 454, 9743, 656, 1569, 547, 519, 2407, 2376, 7300, 563, 25820, 2882, 966, 2969, 585, 7330, 454, 29771, 547, 4760, 454, 3412, 9712, 622, 2228, 1569, 547, 782, 2152, 689, 476, 1001, 280, 269, 4427, 2675, 3628, 786, 10081, 5710, 12422, 563, 1607, 568, 519, 2121, 3902, 269, 12525, 525, 547, 581, 7229, 538, 2638, 719, 563, 289, 537, 2006, 589, 267, 26081, 17507, 631, 297, 267, 13056, 553, 27493, 630, 1220, 276, 264, 11557, 10399, 543, 519, 4761, 3210, 538, 3425, 269, 9966, 3115, 16967, 22352, 476, 1556, 263, 275, 2567, 30329, 1700, 275, 2537, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 10774, 636, 1575, 323, 7933, 14741, 25484, 454, 2419, 4141, 962, 297, 267, 10557, 962, 295, 267, 932, 334, 16038, 630, 1001, 278, 264, 23207, 544, 7927, 11841, 3928, 1851, 1453, 543, 10708, 538, 519, 6243, 540, 9705, 281, 2085, 12656, 1675, 18396, 327, 677, 2079, 269, 2271, 808, 16791, 2598, 476, 6872, 281, 10844, 1700, 9032, 269, 4179, 2517, 8742, 3820, 270, 1015, 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 ]
[ 2060, 3327, 11103, 267, 3134, 20293, 568, 3622, 2469, 547, 581, 15095, 609, 782, 521, 1944, 3156, 269, 898, 568, 1271, 585, 519, 1439, 3593, 547, 1491, 13657, 950, 8939, 543, 513, 3327, 6775, 5958, 1826, 950, 1210, 26263, 4301, 267, 19483, 267, 15550, 2643, 661, 3122, 610, 12443, 6856, 759, 1231, 607, 521, 1944, 17356, 949, 581, 2565, 950, 8236, 18300, 15984, 547, 519, 11103, 543, 513, 851, 7900, 607, 2966, 269, 3194, 532, 713, 949, 4125, 811, 982, 2542, 998, 513, 1587, 1808, 2930, 1239, 6656, 267, 2705, 267, 2930, 8261, 338, 540, 9755, 786, 1533, 519, 521, 1944, 2010, 5116, 593, 606, 5044, 610, 1587, 3515, 1369, 519, 5958, 3976, 4758, 519, 18300, 17356, 1369, 269, 3509, 540, 519, 521, 714, 902, 1500, 585, 3327, 6775, 616, 2907, 2966, 585, 513, 1808, 3498, 971, 607, 2469, 883, 513, 840, 2181, 326, 610, 950, 1210, 873, 538, 27129, 23090, 563, 306, 714, 902, 723, 606, 1256, 2362, 29943, 593, 4017, 1120, 20199, 11103, 543, 17234, 982, 3327, 11103, 269, 17316, 1120, 20199, 1510, 521, 1944, 568, 31492, 855, 1281, 711, 723, 1434, 23513, 5235, 4187, 269, 630, 2521, 711, 547, 1589, 827, 875, 21354, 4017, 1120, 20199, 538, 519, 2960, 7959, 3330, 22405, 2507, 907, 8668, 6224, 312, 312, 8627, 264, 1403, 621, 941, 711, 585, 521, 1944, 538, 4017, 1120, 20199, 267, 513, 5958, 1587, 949, 18613, 513, 4552, 3440, 1310, 12394, 547, 581, 5249, 883, 513, 15827, 610, 1319, 1570, 269, 1703, 1131, 581, 1100, 960, 1464, 1510, 5351, 540, 513, 521, 1944, 269, 1717, 267, 8259, 2576, 568, 8888, 519, 21777, 1106, 540, 4017, 1120, 20199, 267, 4896, 18413, 621, 909, 12582, 1406, 723, 1454, 547, 5855, 827, 519, 7636, 17539, 540, 513, 521, 1944, 269, 5502, 267, 3274, 15388, 513, 4017, 1120, 20199, 1587, 585, 513, 521, 1944, 610, 11006, 8665, 568, 1271, 585, 799, 1826, 540, 18300, 547, 946, 3927, 563, 2419, 641, 6244, 853, 8681, 4223, 454, 293, 756, 1120, 20199, 2472, 971, 607, 11483, 300, 723, 1044, 1031, 3927, 609, 12443, 1315, 966, 4176, 956, 614, 759, 1231, 585, 513, 1279, 942, 269, 1703, 616, 1082, 2055, 5473, 952, 3134, 20293, 759, 1231, 960, 609, 11483, 300, 269, 3509, 932, 641, 6244, 853, 8681, 631, 1846, 4163, 513, 18908, 16867, 521, 1944, 602, 6585, 519, 14477, 20218, 11103, 538, 1747, 269, 634, 1374, 3297, 713, 521, 1944, 4183, 6087, 4874, 610, 642, 4176, 956, 614, 759, 1231, 547, 3362, 27653, 883, 11483, 300, 267, 23271, 519, 18908, 16867, 521, 1944, 4494, 267, 543, 3927, 6125, 519, 11483, 300, 6106, 269, 9210, 20293, 593, 519, 824, 1688, 1281, 711, 23271, 519, 18908, 16867, 521, 1944, 4494, 855, 3079, 1152, 1958, 1162, 519, 11483, 300, 11103, 269, 9210, 20293, 759, 1231, 798, 711, 960, 607, 3927, 538, 11483, 300, 1813, 922, 17418, 547, 23271, 713, 18908, 16867, 521, 1944, 269, 9182, 267, 6721, 513, 18219, 543, 1447, 2500, 22495, 622, 269, 769, 519, 1439, 267, 11483, 300, 666, 581, 1500, 609, 9210, 20293, 18300, 950, 621, 568, 519, 1152, 4199, 2139, 269, 9210, 20293, 786, 1685, 538, 513, 32521, 609, 18908, 16867, 21092, 11483, 300, 855, 711, 5176, 607, 1134, 607, 12443, 610, 966, 4176, 956, 614, 759, 1231, 563, 2467, 616, 2705, 2010, 540, 11483, 300, 602, 798, 711, 723, 513, 18908, 16867, 521, 1944, 5116, 883, 873, 269, 901, 568, 1419, 513, 4017, 1120, 20199, 1587, 602, 568, 588, 17097, 1927, 3079, 540, 2348, 513, 18908, 16867, 15098, 269, 9210, 20293, 610, 12443, 1315, 966, 4176, 956, 614, 759, 1231, 1131, 960, 1175, 607, 1134, 538, 713, 2013, 563, 7212, 521, 1944, 568, 1271, 547, 3223, 341, 24882, 17234, 538, 1818, 873, 811, 11807, 547, 513, 2016, 18300, 267, 607, 609, 12539, 27438, 543, 17316, 1120, 20199, 269, 1703, 568, 711, 1454, 547, 1039, 585, 521, 1944, 538, 606, 3498, 4336, 269, 15316, 521, 714, 902, 593, 3223, 341, 24882, 786, 948, 3895, 8143, 6617, 267, 3114, 4187, 543, 16345, 1759, 593, 519, 1439, 3755, 991, 563, 2005, 568, 849, 1271, 547, 4063, 602, 521, 714, 902, 31358, 936, 942, 267, 521, 714, 902, 616, 835, 540, 519, 8159, 2188, 538, 513, 5958, 779, 610, 840, 2181, 326, 779, 15808, 1272, 269, 1306, 513, 521, 1944, 9714, 525, 267, 519, 3114, 7554, 1063, 519, 521, 1944, 968, 1440, 25534, 892, 543, 519, 11103, 31358, 269, 9182, 267, 519, 6125, 1063, 519, 11103, 543, 519, 18300, 1373, 5189, 949, 711, 581, 607, 2178, 269, 31327, 547, 2009, 7344, 14286, 1369, 519, 12432, 22495, 622, 269, 0, 24993, 281, 3967, 476, 1839, 267, 476, 1708, 273, 454, 288, 7957, 6625, 568, 513, 3308, 3239, 630, 6625, 264, 602, 568, 4448, 609, 513, 1978, 5680, 2985, 610, 3135, 563, 288, 7957, 6625, 630, 270, 325, 341, 21993, 333, 270, 282, 2110, 585, 5172, 12835, 264, 568, 513, 3758, 5627, 835, 610, 811, 6263, 24069, 4448, 609, 513, 1978, 3896, 610, 1357, 2985, 269, 898, 568, 849, 1634, 607, 513, 30246, 12835, 267, 3896, 12835, 267, 9184, 12835, 267, 15745, 12835, 267, 610, 1433, 5658, 12835, 563, 288, 1357, 14704, 666, 1628, 971, 606, 12835, 543, 14202, 621, 547, 513, 3896, 630, 528, 1357, 2985, 264, 538, 513, 3099, 540, 2081, 267, 1310, 799, 21370, 1357, 26292, 786, 8415, 621, 269, 589, 2985, 781, 7957, 6625, 568, 7363, 3254, 538, 519, 11422, 781, 2232, 3046, 630, 663, 12212, 538, 519, 1686, 264, 543, 1985, 547, 519, 2985, 781, 2012, 538, 513, 1592, 540, 1433, 12201, 538, 26292, 602, 1489, 7957, 545, 976, 269, 589, 2985, 781, 7957, 6625, 568, 3622, 3254, 1985, 547, 519, 2985, 781, 2140, 593, 513, 9184, 5523, 3561, 8818, 267, 543, 3135, 10391, 26292, 8415, 519, 7957, 6625, 607, 513, 18376, 12835, 563, 288, 7957, 6625, 568, 513, 3308, 3239, 630, 6625, 264, 602, 568, 4448, 609, 513, 1978, 5680, 2985, 610, 3135, 269, 769, 519, 2232, 3046, 610, 538, 29601, 267, 1896, 4207, 3593, 8069, 630, 7945, 607, 21370, 26292, 543, 3377, 1348, 619, 264, 4159, 873, 607, 513, 3308, 12576, 540, 519, 5680, 3135, 8446, 563, 2791, 3513, 991, 513, 4605, 543, 513, 1259, 547, 17551, 602, 519, 3239, 568, 547, 581, 1031, 607, 513, 7957, 6625, 547, 1039, 513, 7957, 6625, 547, 707, 3896, 563, 763, 882, 3959, 1871, 834, 6625, 257, 568, 1031, 547, 5815, 513, 7957, 6625, 267, 543, 519, 1871, 568, 3989, 3842, 513, 9043, 282, 12632, 616, 4988, 538, 3152, 3178, 2630, 269, 634, 7957, 6625, 538, 713, 14103, 476, 275, 269, 4905, 1383, 568, 18931, 607, 513, 7957, 6625, 676, 519, 772, 6020, 5291, 2517, 9987, 2593, 270, 3240, 6625, 26666, 563, 288, 2034, 1935, 585, 10747, 513, 7957, 6625, 12346, 593, 519, 4605, 1373, 4857, 676, 513, 1095, 564, 772, 6020, 281, 834, 270, 325, 822, 6625, 2437, 799, 568, 3448, 547, 519, 7746, 3597, 269, 5221, 930, 26292, 723, 1044, 2966, 547, 2638, 585, 7957, 545, 976, 1210, 602, 772, 6020, 267, 713, 1935, 1568, 563, 288, 7957, 6625, 3239, 666, 581, 2813, 609, 606, 3239, 9375, 971, 607, 9605, 4103, 267, 26598, 267, 11759, 331, 24484, 267, 610, 513, 1863, 267, 1930, 21299, 4244, 971, 607, 22542, 6573, 269, 3509, 14540, 1175, 3351, 1047, 741, 9746, 20446, 547, 2226, 513, 5812, 6216, 3961, 563, 9359, 609, 513, 476, 5038, 676, 476, 5038, 18920, 4009, 547, 1118, 621, 4443, 547, 12575, 267, 543, 1287, 4336, 621, 1524, 547, 476, 1626, 1535, 476, 1626, 19641, 19952, 269, 2991, 602, 267, 4688, 519, 3758, 607, 513, 27970, 11783, 335, 978, 11783, 326, 604, 11783, 321, 5404, 267, 610, 6745, 604, 563, 5629, 596, 2811, 13854, 609, 519, 4605, 267, 4688, 621, 607, 7957, 6625, 269, 4815, 269, 4107, 1357, 26292, 3398, 713, 3898, 607, 519, 9053, 835, 563, 2791, 949, 991, 547, 3351, 1047, 606, 4950, 3498, 899, 12835, 8595, 14492, 267, 605, 9526, 14492, 267, 610, 7957, 6625, 518, 2593, 547, 6460, 707, 3758, 547, 519, 269, 4815, 3898, 563, 2467, 616, 1896, 3681, 3015, 269, 1411, 949, 1287, 4647, 707, 4195, 1007, 269, 4815, 3758, 1310, 14202, 532, 707, 3239, 543, 8939, 519, 12835, 2450, 269, 634, 269, 4815, 3758, 1058, 581, 5116, 538, 707, 3896, 781, 3597, 15682, 269, 1879, 596, 6330, 547, 8940, 13885, 2293, 924, 16691, 16896, 11721, 822, 6625, 269, 4815, 267, 519, 4605, 1058, 2408, 563, 763, 1034, 6093, 2450, 585, 513, 7957, 6625, 568, 476, 1626, 343, 1626, 19641, 267, 799, 568, 519, 1034, 5078, 2450, 585, 1818, 835, 269, 1358, 666, 267, 2705, 267, 8451, 538, 8273, 7306, 593, 8317, 630, 7945, 607, 476, 3953, 343, 3953, 19641, 1916, 21430, 513, 7957, 6625, 585, 707, 2754, 568, 513, 2656, 543, 2653, 1935, 547, 7794, 707, 2228, 3961, 269, 898, 949, 2087, 519, 3593, 1995, 543, 519, 3239, 540, 707, 6109, 585, 2370, 610, 1100, 3606, 13258, 269, 0, 763, 570, 30802, 8115, 568, 24819, 269, 898, 5526, 538, 10141, 1562, 267, 7113, 619, 543, 2147, 17102, 269, 634, 3730, 4908, 2039, 568, 689, 513, 1906, 737, 13703, 547, 476, 2004, 631, 13703, 610, 811, 4470, 593, 519, 22155, 23780, 6074, 563, 1607, 2985, 568, 711, 7255, 609, 519, 4052, 885, 540, 2679, 835, 269, 634, 4950, 3568, 7366, 540, 2147, 610, 9838, 6272, 269, 5502, 267, 713, 2985, 27180, 519, 16674, 1374, 4834, 543, 519, 7687, 7915, 538, 519, 5547, 269, 1280, 1383, 267, 621, 568, 23904, 547, 1289, 621, 513, 8115, 269, 634, 4834, 585, 519, 9258, 6453, 2982, 602, 519, 8115, 2760, 31267, 3666, 563, 5278, 993, 622, 2720, 20272, 519, 8115, 676, 26471, 24311, 829, 2490, 593, 1142, 23090, 269, 901, 1568, 5386, 543, 10970, 28179, 6988, 855, 621, 14543, 547, 1331, 519, 15491, 7180, 540, 519, 3926, 269, 901, 568, 7152, 593, 824, 1357, 3817, 543, 786, 711, 581, 7368, 1934, 563, 763, 570, 30802, 8115, 5161, 540, 1152, 1079, 3334, 2943, 621, 568, 1360, 1950, 543, 32462, 547, 20272, 269, 594, 723, 1500, 519, 13429, 602, 519, 1079, 2981, 619, 616, 9838, 269, 1717, 267, 972, 568, 1100, 2601, 1946, 713, 1590, 581, 865, 563, 8201, 476, 272, 1107, 634, 9978, 570, 30802, 15167, 454, 763, 512, 30802, 8115, 568, 513, 14207, 269, 634, 1377, 540, 2132, 2530, 5673, 2390, 593, 519, 23090, 32366, 766, 543, 519, 8994, 23993, 1063, 873, 269, 2311, 1100, 942, 1281, 519, 9258, 6453, 2048, 309, 337, 685, 2479, 2887, 547, 4642, 1256, 950, 519, 4452, 568, 4010, 476, 2004, 3852, 358, 269, 901, 5547, 1281, 711, 3666, 607, 971, 269, 9866, 3569, 540, 519, 5547, 5267, 602, 713, 8115, 1590, 849, 6338, 606, 25317, 1689, 538, 519, 6771, 2619, 269, 1717, 267, 519, 512, 30802, 8115, 568, 606, 5140, 1685, 518, 543, 19262, 2407, 2079, 563, 4322, 2185, 7215, 5581, 519, 2773, 540, 519, 570, 30802, 8115, 912, 8072, 7343, 21043, 589, 685, 540, 519, 7923, 3561, 2488, 513, 8174, 566, 540, 4834, 476, 1321, 267, 476, 1724, 267, 476, 1691, 543, 476, 1428, 630, 604, 596, 616, 2731, 16994, 1040, 898, 568, 2009, 547, 2417, 14458, 891, 4834, 676, 13868, 519, 1802, 2758, 2418, 609, 606, 4082, 5473, 519, 7140, 5223, 715, 269, 1717, 267, 519, 1802, 2758, 2418, 786, 1689, 609, 4908, 543, 616, 811, 4909, 982, 715, 563, 9827, 14284, 568, 11589, 519, 1950, 2474, 538, 28138, 1106, 630, 320, 1341, 795, 321, 1040, 898, 568, 1175, 711, 4502, 519, 942, 543, 4674, 12946, 538, 2247, 602, 9273, 540, 713, 6988, 786, 267, 23366, 267, 581, 1835, 684, 3481, 676, 3684, 563, 14737, 3065, 14484, 539, 28686, 454, 13420, 725, 476, 1724, 666, 581, 16866, 676, 1818, 10054, 269, 27539, 602, 519, 23993, 1599, 737, 815, 476, 272, 267, 27215, 284, 272, 543, 519, 3977, 25317, 2098, 815, 681, 269, 7201, 891, 2048, 29446, 685, 2175, 3830, 476, 1724, 3587, 912, 2026, 519, 4908, 4679, 912, 17798, 267, 519, 5934, 1377, 568, 5462, 676, 519, 32366, 766, 2418, 4805, 269, 4595, 519, 8115, 1590, 581, 4052, 609, 10853, 32366, 766, 2418, 267, 519, 5934, 10630, 1377, 540, 519, 570, 30802, 8115, 568, 13113, 1107, 519, 8115, 2760, 21356, 547, 4642, 269, 634, 1739, 4082, 14550, 519, 3970, 563, 10112, 11167, 700, 273, 23645, 700, 272, 630, 1103, 1249, 621, 568, 715, 1535, 715, 3677, 1141, 715, 568, 519, 7140, 5223, 994, 763, 2942, 1129, 6920, 602, 519, 10630, 5365, 568, 1884, 13023, 848, 3448, 547, 519, 3977, 5365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 817, 793, 318, 5417, 319, 547, 9337, 519, 12035, 780, 2162, 4437, 553, 5455, 30098, 692, 1103, 1840, 547, 21130, 519, 12035, 267, 649, 849, 991, 547, 9337, 519, 12886, 540, 519, 7298, 543, 6456, 6106, 269, 634, 9186, 9337, 4341, 585, 7131, 568, 2147, 547, 519, 2597, 9337, 4341, 1384, 16465, 315, 18773, 536, 3709, 329, 348, 815, 1422, 9508, 22570, 30848, 554, 19553, 1422, 26917, 3709, 11907, 348, 910, 1422, 30848, 554, 19553, 1422, 26917, 3709, 16347, 348, 994, 9681, 16465, 315, 18773, 513, 3709, 328, 348, 815, 1422, 9508, 22570, 30848, 642, 10983, 1422, 26917, 3709, 11907, 348, 910, 1422, 30848, 642, 10983, 1422, 26917, 3709, 16347, 348, 994, 9681, 1103, 5124, 267, 649, 666, 2936, 519, 9186, 10311, 607, 5205, 1384, 3499, 7090, 454, 5035, 681, 13696, 912, 825, 1948, 27250, 825, 1219, 5721, 4311, 267, 1565, 318, 3433, 267, 1239, 267, 22184, 338, 2187, 1038, 1948, 27250, 1038, 9337, 24449, 272, 321, 815, 1582, 18192, 272, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 24449, 272, 910, 544, 9492, 322, 24449, 272, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 4917, 1038, 9337, 24449, 273, 321, 815, 1582, 18192, 273, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 24449, 273, 910, 544, 9492, 322, 24449, 273, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 11723, 1038, 9337, 20189, 321, 815, 1582, 19544, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 20189, 910, 544, 9492, 322, 20189, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 11723, 1038, 1948, 27250, 1038, 2132, 1496, 26303, 16062, 267, 9337, 24449, 272, 321, 267, 9337, 20189, 321, 267, 9337, 24449, 273, 321, 2639, 7884, 1103, 713, 3009, 267, 649, 12337, 519, 3017, 1063, 519, 6788, 540, 519, 7298, 543, 6456, 2829, 609, 2463, 547, 519, 1239, 543, 2203, 14778, 267, 9062, 621, 676, 519, 1565, 2557, 267, 543, 946, 2387, 817, 793, 318, 5417, 319, 547, 9337, 519, 12886, 780, 2162, 25608, 18438, 692, 2414, 6218, 519, 2773, 540, 938, 681, 13696, 267, 649, 666, 946, 513, 11973, 1572, 519, 16646, 5470, 267, 799, 3800, 519, 3017, 1063, 519, 3312, 3403, 543, 922, 16646, 1310, 8429, 998, 519, 681, 13696, 269, 634, 16646, 5470, 568, 3989, 607, 1384, 16465, 3918, 815, 1422, 2765, 346, 272, 2410, 301, 348, 1422, 8999, 3709, 333, 284, 272, 8703, 301, 348, 13466, 343, 3867, 263, 333, 14587, 910, 1422, 1002, 12757, 8703, 263, 333, 14587, 1475, 317, 273, 454, 9681, 3602, 1269, 343, 3867, 263, 333, 264, 4151, 568, 519, 3312, 3403, 267, 4399, 1002, 12757, 8703, 263, 333, 264, 4151, 568, 519, 16646, 267, 543, 1269, 301, 259, 568, 519, 1297, 540, 1239, 2798, 780, 1103, 5124, 267, 649, 666, 2936, 519, 16646, 5470, 607, 5205, 1384, 3499, 7090, 454, 5035, 681, 13696, 912, 825, 1948, 27250, 825, 1219, 16646, 318, 19587, 4311, 267, 642, 272, 267, 642, 273, 2187, 1038, 5727, 634, 835, 9912, 16646, 1942, 585, 1312, 7298, 6106, 8173, 1038, 554, 815, 1582, 4877, 1886, 24449, 272, 341, 273, 20189, 17635, 272, 267, 642, 273, 267, 642, 272, 17482, 314, 271, 20285, 1038, 642, 272, 318, 20482, 815, 23686, 269, 4751, 17635, 272, 25722, 325, 269, 15615, 3953, 264, 910, 1582, 4732, 2217, 24449, 272, 14682, 1508, 24449, 273, 327, 17635, 273, 267, 554, 994, 1038, 642, 272, 318, 20482, 815, 23686, 18622, 706, 576, 23544, 17635, 272, 318, 20482, 2608, 642, 272, 318, 20482, 267, 314, 271, 267, 272, 20285, 1038, 642, 273, 318, 20482, 815, 23686, 269, 4751, 17635, 273, 25722, 325, 269, 15615, 3953, 264, 910, 1582, 4732, 2217, 24449, 273, 14682, 1508, 24449, 272, 327, 17635, 272, 267, 554, 994, 1038, 642, 273, 318, 20482, 815, 23686, 18622, 706, 576, 23544, 17635, 273, 318, 20482, 2608, 642, 273, 318, 20482, 267, 314, 271, 267, 272, 20285, 1038, 2132, 642, 272, 318, 20482, 1341, 642, 273, 318, 20482, 267, 642, 272, 318, 20482, 267, 642, 273, 318, 20482, 454, 7884, 1103, 713, 3009, 267, 649, 1101, 12337, 519, 6456, 1533, 2016, 519, 3403, 267, 1287, 3732, 689, 519, 19585, 14778, 540, 519, 7298, 6106, 2016, 519, 6456, 1533, 267, 543, 6368, 12337, 519, 16302, 3017, 1063, 519, 3312, 3403, 543, 519, 16646, 780, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 723, 4121, 827, 10163, 24071, 12157, 16379, 10458, 26682, 543, 875, 547, 5721, 873, 1210, 25037, 633, 667, 1853, 10885, 543, 13506, 16350, 269, 1284, 723, 849, 2938, 875, 547, 2936, 519, 2597, 543, 9186, 10311, 538, 5124, 1210, 32150, 23044, 267, 543, 875, 547, 6218, 519, 2773, 540, 938, 681, 13696, 1210, 519, 16646, 5470, 269, 681, 13696, 338, 616, 513, 3532, 1907, 585, 9781, 1950, 1239, 14778, 543, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 11434, 9337, 16062, 815, 1582, 269, 30135, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 630, 342, 318, 27168, 14682, 2784, 910, 530, 318, 17463, 14682, 2784, 11723, 1038, 9337, 24449, 272, 321, 815, 1582, 18192, 272, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 24449, 272, 910, 544, 9492, 322, 24449, 272, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 4917, 1038, 9337, 24449, 273, 321, 815, 1582, 18192, 273, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 24449, 273, 910, 544, 9492, 322, 24449, 273, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 11723, 1038, 9337, 20189, 321, 815, 1582, 19544, 10734, 5362, 269, 817, 793, 318, 5417, 263, 14048, 318, 3433, 2608, 23686, 18622, 706, 576, 318, 11743, 263, 11034, 20189, 910, 544, 9492, 322, 20189, 267, 476, 271, 267, 1832, 5091, 15501, 18989, 11723, 1038, 2132, 1496, 26303, 16062, 267, 9337, 24449, 272, 321, 267, 9337, 20189, 321, 267, 9337, 24449, 273, 321, 6540, 825, 1219, 16646, 318, 19587, 4311, 267, 642, 272, 267, 642, 273, 2187, 1038, 5727, 634, 835, 9912, 16646, 1942, 585, 1312, 7298, 6106, 8173, 1038, 554, 815, 1582, 4877, 1886, 24449, 272, 341, 273, 20189, 17635, 272, 267, 642, 273, 267, 642, 272, 17482, 314, 271, 7481, 13872, 1038, 642, 272, 318, 20482, 815, 23686, 269, 4751, 17635, 272, 25722, 325, 269, 15615, 3953, 264, 910, 1582, 4732, 2217, 24449, 272, 14682, 1508, 24449, 273, 327, 17635, 273, 267, 554, 994, 1038, 642, 272, 318, 20482, 815, 23686, 18622, 706, 576, 23544, 17635, 272, 318, 20482, 2608, 642, 272, 318, 20482, 267, 314, 271, 267, 272, 7481, 13872, 1038, 642, 273, 318, 20482, 815, 23686, 269, 4751, 17635, 273, 25722, 325, 269, 15615, 3953, 264, 910, 1582, 4732, 2217, 24449, 273, 14682, 1508, 24449, 272, 327, 17635, 272, 267, 554, 994, 1038, 642, 273, 318, 20482, 815, 23686, 18622, 706, 576, 23544, 17635, 273, 318, 20482, 2608, 642, 273, 318, 20482, 267, 314, 271, 267, 272, 7481, 13872, 1038, 2132, 642, 272, 318, 20482, 1341, 642, 273, 318, 20482, 267, 642, 272, 318, 20482, 267, 642, 273, 318, 20482, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 281, 16217, 21961, 26198, 910, 24531, 3776, 17583, 547, 519, 4279, 26111, 692, 5970, 596, 2479, 6743, 856, 693, 513, 5318, 1930, 2361, 267, 15198, 607, 2484, 607, 519, 3750, 666, 1294, 267, 4904, 609, 7381, 21823, 2220, 11691, 9900, 538, 519, 2842, 286, 1403, 865, 267, 596, 941, 2693, 575, 5074, 2390, 1018, 729, 2899, 513, 15999, 31403, 256, 1280, 5215, 540, 1296, 267, 891, 18198, 9249, 4988, 1454, 540, 3345, 3013, 781, 2295, 1633, 1107, 855, 2221, 267, 1447, 982, 835, 2600, 3788, 16856, 269, 1924, 1946, 1058, 649, 1416, 827, 8497, 543, 19620, 9299, 597, 625, 286, 2913, 781, 4685, 883, 3695, 875, 3425, 723, 2170, 539, 609, 713, 2189, 5251, 2429, 1686, 543, 1451, 827, 519, 2956, 540, 31403, 11808, 780, 4089, 476, 272, 281, 1548, 3657, 16217, 597, 625, 543, 4208, 9894, 1358, 2598, 1952, 792, 2496, 288, 31403, 568, 513, 1826, 540, 5117, 1336, 5631, 538, 519, 3844, 2694, 540, 4516, 543, 519, 2136, 2276, 269, 1452, 2127, 4309, 9793, 11811, 267, 1818, 873, 3501, 585, 3395, 18932, 26377, 12297, 1540, 609, 3552, 25154, 543, 824, 5065, 2371, 269, 9521, 7733, 602, 723, 2462, 4054, 2673, 1927, 267, 9299, 597, 625, 2874, 6140, 540, 1585, 2249, 540, 21823, 543, 5810, 602, 1332, 6251, 547, 519, 2666, 269, 901, 3309, 7226, 2488, 5321, 585, 1082, 1114, 7068, 899, 7786, 267, 5017, 267, 11864, 267, 20641, 267, 543, 27738, 780, 19013, 267, 1813, 547, 8105, 543, 20012, 936, 942, 267, 1034, 540, 519, 3312, 9299, 597, 625, 8709, 1639, 269, 1306, 13896, 8452, 5275, 1007, 3255, 267, 789, 10736, 1804, 13980, 540, 519, 9299, 597, 625, 883, 3484, 4610, 610, 4872, 267, 4929, 26464, 3441, 547, 891, 10475, 8134, 269, 4653, 267, 1152, 1507, 15998, 2611, 16559, 2066, 519, 3148, 269, 1717, 267, 972, 568, 4126, 547, 3142, 1394, 930, 540, 519, 4503, 5898, 543, 9265, 540, 519, 9299, 597, 625, 998, 11808, 3646, 2439, 4089, 476, 273, 281, 4197, 519, 11957, 540, 16217, 597, 625, 692, 2791, 1522, 4898, 1946, 621, 781, 1898, 547, 8190, 543, 11177, 1945, 602, 4667, 865, 11397, 689, 938, 3232, 2729, 269, 4270, 267, 1934, 616, 1614, 1292, 4128, 1384, 272, 269, 26085, 670, 1824, 26105, 281, 6736, 8720, 1175, 513, 6263, 6824, 540, 519, 11782, 267, 9299, 597, 625, 22426, 9118, 2030, 543, 3662, 2249, 267, 1082, 540, 799, 3112, 581, 1336, 9170, 3116, 538, 519, 1158, 256, 1635, 7863, 543, 19620, 9299, 597, 625, 267, 649, 948, 2327, 519, 6668, 540, 891, 4686, 543, 4241, 7103, 563, 273, 269, 8693, 7827, 674, 16146, 281, 13245, 9299, 597, 625, 10110, 7372, 5666, 540, 3327, 8166, 267, 4227, 8511, 9362, 3743, 585, 2518, 8337, 269, 9578, 267, 789, 849, 2061, 3037, 11761, 543, 2226, 1216, 2298, 1107, 4105, 2533, 602, 4324, 721, 782, 2336, 274, 269, 8836, 11595, 281, 7087, 2950, 723, 1279, 4371, 2620, 4296, 609, 9299, 597, 625, 267, 1210, 873, 585, 10122, 267, 11018, 267, 543, 5289, 2853, 269, 3465, 6326, 9299, 597, 625, 2636, 2104, 5481, 547, 5660, 543, 1451, 689, 891, 3638, 2686, 5389, 780, 4089, 476, 274, 281, 20780, 532, 7982, 519, 23420, 4133, 1107, 16217, 21961, 26198, 692, 3383, 1631, 602, 649, 917, 1946, 9299, 597, 625, 2339, 1577, 781, 2263, 875, 1004, 960, 2182, 547, 3142, 873, 1394, 256, 16217, 21961, 11808, 3322, 973, 11661, 519, 2067, 2175, 2877, 585, 5065, 2371, 543, 2831, 547, 8853, 269, 3371, 616, 930, 3268, 3238, 538, 519, 1184, 1384, 272, 269, 25994, 14635, 281, 11814, 532, 5452, 689, 20276, 656, 9299, 597, 625, 2337, 2327, 4719, 4763, 543, 7028, 2199, 3235, 8040, 630, 333, 894, 2371, 9862, 4481, 547, 1978, 4525, 1916, 273, 269, 31896, 543, 715, 4669, 1005, 281, 4495, 6394, 267, 13538, 5402, 30889, 519, 5452, 538, 5078, 6753, 1247, 512, 2056, 547, 519, 6932, 19155, 2394, 789, 1831, 3964, 563, 274, 269, 16424, 18776, 281, 12207, 5781, 6895, 17468, 4609, 267, 9477, 2242, 538, 10664, 5888, 267, 7320, 5095, 267, 543, 2949, 5117, 1072, 563, 275, 269, 7043, 3856, 8758, 618, 281, 21988, 31403, 11808, 3340, 9639, 282, 621, 949, 1491, 5756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11387, 267, 543, 19315, 916, 1876, 713, 1196, 3386, 267, 2985, 23519, 6227, 4367, 547, 1699, 5201, 267, 5547, 12222, 543, 6698, 267, 7893, 3167, 1699, 267, 1210, 606, 993, 31461, 547, 2268, 1699, 267, 7893, 6453, 267, 1210, 513, 18699, 31461, 547, 2268, 6453, 267, 5547, 267, 3446, 3114, 2360, 540, 3167, 1699, 3211, 563, 12027, 657, 2940, 568, 513, 269, 18364, 269, 16693, 3070, 568, 536, 269, 6850, 680, 908, 269, 6850, 680, 908, 1568, 693, 524, 269, 1202, 15975, 269, 19650, 693, 2318, 12363, 546, 269, 3114, 1198, 540, 1699, 269, 1031, 585, 15098, 513, 6094, 4494, 540, 1283, 3211, 1336, 585, 3167, 1699, 543, 2241, 1699, 563, 2641, 269, 10022, 23155, 27989, 8018, 10022, 454, 13640, 5537, 2497, 3211, 6252, 2497, 3211, 2259, 269, 713, 568, 519, 6252, 2497, 3211, 3296, 269, 6252, 2497, 568, 519, 17279, 540, 513, 6074, 21342, 1106, 1369, 513, 4845, 269, 6252, 2497, 1797, 1210, 519, 1482, 4806, 540, 1913, 547, 1397, 602, 1079, 610, 811, 2093, 723, 519, 1482, 1377, 540, 2956, 563, 5938, 778, 610, 29295, 519, 1523, 540, 6252, 2497, 538, 3764, 609, 2653, 547, 1174, 3137, 543, 2259, 2055, 602, 2333, 538, 7411, 269, 946, 713, 4199, 2901, 607, 513, 8239, 9910, 3992, 15942, 3769, 610, 607, 4830, 2875, 960, 269, 6904, 4845, 3096, 6252, 2497, 12744, 713, 7688, 593, 563, 6518, 4845, 3096, 6252, 2497, 6252, 2497, 8908, 269, 737, 6280, 3446, 269, 2053, 269, 2626, 5079, 269, 2901, 2307, 610, 2307, 547, 5965, 519, 16786, 585, 5870, 269, 769, 713, 6252, 2497, 4976, 267, 6267, 1224, 827, 6252, 2497, 1369, 5220, 543, 1063, 5220, 267, 1287, 2347, 513, 2259, 6656, 540, 16706, 267, 556, 8586, 5220, 563, 2420, 269, 6215, 8554, 23155, 3131, 12993, 20514, 769, 11431, 454, 12812, 1934, 585, 4267, 269, 2259, 267, 682, 324, 689, 6252, 543, 13902, 3515, 4976, 2626, 1883, 267, 11877, 322, 564, 342, 7867, 269, 635, 269, 519, 3803, 1883, 547, 2324, 609, 519, 543, 6252, 3515, 4976, 568, 519, 1599, 269, 713, 4976, 1599, 2636, 596, 547, 2490, 513, 8880, 610, 7299, 3046, 547, 519, 1114, 2010, 540, 3515, 596, 666, 946, 538, 707, 12125, 563, 1721, 1383, 596, 666, 269, 8018, 676, 3301, 586, 1535, 586, 1535, 586, 1265, 519, 9386, 540, 513, 1899, 13902, 547, 1142, 2016, 1899, 269, 1535, 586, 1535, 2328, 519, 1106, 540, 519, 3830, 540, 519, 1899, 4330, 269, 998, 267, 6252, 547, 586, 32341, 2436, 519, 3515, 616, 13902, 269, 1899, 586, 1535, 269, 1899, 586, 4586, 2889, 12378, 6430, 2436, 519, 3515, 616, 13902, 269, 1899, 1547, 1899, 1547, 1966, 538, 519, 6516, 2016, 2630, 267, 519, 3830, 586, 1535, 4564, 513, 11604, 269, 513, 18422, 540, 1769, 16125, 519, 11604, 693, 11783, 1018, 568, 519, 3830, 540, 269, 16740, 1893, 1153, 1641, 2979, 3446, 2085, 1292, 1543, 2010, 540, 3515, 538, 2979, 824, 9115, 6252, 267, 12969, 532, 543, 13902, 3515, 267, 7285, 1039, 547, 1250, 960, 9248, 7842, 538, 1250, 3896, 610, 5816, 1039, 547, 24440, 267, 952, 1079, 3515, 616, 13902, 1287, 789, 12969, 547, 1106, 2185, 1318, 7285, 563, 2537, 269, 23155, 20514, 27449, 17130, 21998, 454, 2005, 568, 6151, 4606, 2509, 1018, 5601, 568, 3257, 267, 610, 875, 10971, 1544, 568, 3001, 269, 538, 519, 3349, 2630, 267, 5659, 519, 2010, 540, 6252, 2497, 1369, 533, 15680, 332, 1683, 4557, 1806, 2066, 607, 1082, 6688, 607, 269, 23155, 2497, 3635, 269, 30453, 1205, 519, 4267, 676, 3257, 519, 7317, 3635, 563, 1410, 9052, 269, 30453, 1205, 519, 4267, 676, 3257, 519, 7317, 3635, 269, 3635, 269, 30453, 1205, 519, 4267, 676, 3257, 519, 7317, 3635, 269, 3635, 269, 30453, 1205, 519, 4267, 676, 3257, 519, 7317, 3635, 269, 3635, 269, 1893, 1153, 1641, 607, 513, 2034, 1893, 4359, 2085, 1292, 1543, 6252, 1143, 824, 9115, 18912, 1039, 547, 1250, 960, 9248, 4647, 3758, 7842, 538, 1250, 3896, 610, 5816, 1039, 547, 24440, 267, 519, 1101, 18445, 3515, 6252, 4976, 4267, 568, 782, 1759, 593, 519, 2596, 1966, 6061, 1983, 563, 2190, 269, 23155, 20514, 27449, 30958, 5681, 454, 5445, 2307, 513, 2875, 547, 960, 856, 1018, 2338, 666, 581, 2854, 1524, 547, 1118, 519, 1843, 269, 1018, 1131, 519, 2626, 581, 952, 519, 1843, 1185, 1079, 3952, 3079, 540, 267, 7285, 538, 6252, 3515, 3211, 609, 4267, 1641, 6128, 269, 2085, 2039, 269, 4199, 1826, 3992, 2347, 563, 1839, 269, 23155, 20514, 454, 2080, 693, 13004, 649, 1683, 513, 3102, 5542, 540, 7285, 3211, 782, 2966, 547, 948, 707, 1126, 610, 20194, 1174, 519, 10848, 540, 6061, 7285, 693, 1753, 610, 693, 1153, 269, 2436, 922, 513, 12719, 7285, 4976, 267, 7285, 538, 6906, 4976, 267, 7285, 593, 6252, 3515, 4976, 610, 4466, 7508, 7285, 4976, 267, 596, 666, 4647, 769, 519, 4137, 2016, 2630, 267, 1577, 519, 3515, 561, 543, 561, 581, 6252, 543, 544, 568, 1098, 951, 531, 563, 604, 535, 267, 1265, 519, 2268, 540, 1142, 540, 519, 6967, 7285, 269, 1966, 18224, 532, 1283, 3211, 1336, 585, 7285, 6252, 3515, 269, 930, 540, 519, 3211, 585, 713, 1523, 616, 960, 3296, 7285, 543, 6252, 3515, 267, 6252, 3515, 543, 267, 6252, 3515, 960, 267, 7285, 538, 6252, 3515, 554, 267, 6252, 3515, 543, 960, 2328, 782, 519, 267, 6128, 5276, 7285, 6252, 3515, 267, 6252, 3515, 543, 267, 7285, 543, 563, 2918, 269, 5664, 3427, 4569, 454, 5278, 540, 519, 3211, 585, 713, 1523, 616, 6252, 2497, 2259, 267, 6252, 2497, 267, 6252, 2497, 3635, 267, 8239, 960, 6252, 1143, 1519, 12633, 894, 267, 6252, 2497, 960, 267, 32575, 7285, 4976, 2070, 4267, 269, 7893, 7285, 4646, 676, 6252, 3515, 4976, 713, 5086, 4976, 2934, 1114, 2042, 1141, 6252, 3515, 616, 12969, 539, 676, 513, 563, 2767, 269, 27449, 23155, 20514, 6096, 12226, 454, 312, 1535, 586, 1535, 586, 1535, 586, 269, 7388, 29232, 543, 24045, 2262, 2042, 4976, 269, 1858, 543, 15943, 3211, 269, 2040, 540, 519, 7285, 538, 513, 6906, 568, 4110, 4976, 269, 2010, 540, 7285, 4976, 269, 3601, 540, 25521, 4976, 269, 18445, 6906, 17602, 775, 4976, 563, 2764, 269, 27449, 3690, 951, 531, 8018, 12226, 667, 1074, 344, 3751, 454, 312, 4976, 676, 3301, 3301, 12808, 9511, 2012, 18445, 3515, 6252, 4266, 1974, 269, 16740, 1893, 1153, 1641, 2257, 2085, 1292, 1543, 3167, 11387, 824, 9115, 3126, 543, 6252, 11387, 1039, 547, 1250, 960, 9248, 7842, 538, 1250, 3896, 610, 5816, 1039, 547, 24440, 4928, 15648, 267, 13559, 3405, 4103, 19298, 563, 3066, 269, 27989, 8018, 8382, 6206, 18065, 12810, 454, 4467, 269, 11884, 10517, 1238, 24862, 1721, 12061, 2889, 325, 1243, 1075, 1049, 20580, 5099, 269, 6252, 1143, 267, 10175, 14585, 7758, 894, 935, 329, 4233, 5070, 1260, 1706, 11143, 269, 27449, 593, 6252, 3515, 3211, 2259, 269, 7285, 593, 6252, 3515, 3211, 585, 1032, 267, 1032, 267, 1032, 543, 1032, 269, 7285, 593, 6252, 3515, 3211, 585, 1053, 2324, 693, 5748, 1377, 543, 1883, 3942, 563, 1789, 269, 5556, 745, 550, 10222, 9201, 8018, 12226, 476, 279, 23155, 20514, 454, 13640, 5537, 3515, 2759, 676, 513, 1098, 951, 531, 11015, 676, 1863, 547, 3605, 269, 18445, 3515, 6252, 524, 330, 5748, 269, 6252, 3515, 543, 4976, 22753, 676, 269, 27449, 4646, 676, 6252, 3515, 2759, 676, 513, 1098, 951, 531, 3211, 29906, 998, 713, 5458, 25819, 540, 1098, 951, 531, 3211, 547, 29872, 3446, 267, 3446, 267, 543, 1164, 1153, 1053, 609, 519, 3601, 540, 1896, 5086, 8424, 899, 519, 14595, 7285, 267, 7222, 7285, 267, 7285, 267, 3092, 563, 763, 4542, 585, 12719, 2698, 4187, 540, 1614, 27856, 568, 607, 5205, 678, 7223, 1227, 13861, 713, 3830, 547, 4194, 585, 835, 540, 519, 6252, 5706, 1734, 678, 538, 2474, 540, 519, 824, 1079, 6252, 5706, 1734, 678, 543, 678, 543, 519, 519, 4116, 1767, 602, 646, 729, 513, 4057, 2875, 1317, 646, 7227, 1196, 2394, 519, 2063, 8792, 547, 1353, 585, 519, 981, 267, 1196, 1010, 2978, 2042, 538, 513, 1416, 1652, 6073, 267, 543, 3668, 1196, 8404, 563, 13706, 782, 713, 538, 269, 2497, 267, 18643, 267, 543, 3940, 10282, 2689, 269, 513, 30859, 568, 1500, 540, 1614, 2694, 513, 543, 513, 9436, 5627, 269, 538, 513, 2582, 18843, 540, 519, 19552, 1895, 25907, 547, 519, 269, 3940, 10282, 4976, 1554, 2012, 8846, 269, 946, 519, 3009, 547, 1711, 707, 3009, 563, 3451, 269, 15379, 5295, 8018, 12226, 23433, 3163, 5729, 476, 273, 454, 16446, 814, 1044, 8810, 547, 1118, 1004, 17237, 269, 713, 568, 8058, 2626, 519, 11909, 7285, 2630, 616, 1482, 2427, 9703, 3283, 267, 799, 1797, 789, 616, 24045, 7285, 865, 649, 666, 1305, 909, 519, 3830, 2630, 269, 9484, 267, 9511, 18445, 3515, 6252, 4976, 4267, 519, 1655, 5086, 15997, 4976, 2979, 9511, 15997, 3211, 609, 4267, 4241, 2979, 2592, 3450, 2979, 3450, 9511, 5086, 15997, 4976, 2979, 796, 4565, 18088, 8630, 2671, 713, 2022, 563, 4097, 269, 12307, 23155, 3131, 12993, 20514, 8018, 454, 5226, 714, 4976, 13902, 1899, 269, 543, 7222, 4976, 568, 2966, 547, 15378, 519, 3178, 540, 707, 1702, 827, 5376, 916, 11341, 547, 13902, 3515, 269, 596, 1590, 581, 2111, 547, 2626, 269, 1547, 1265, 513, 1899, 13902, 547, 543, 12969, 532, 621, 693, 269, 1265, 513, 1899, 6252, 547, 519, 543, 1519, 519, 1448, 563, 22261, 267, 6252, 3515, 4976, 4267, 609, 4976, 6252, 3515, 543, 9511, 4267, 1007, 269, 1985, 267, 789, 786, 581, 2111, 547, 4020, 519, 1985, 1899, 676, 4358, 609, 513, 10145, 1899, 543, 519, 1482, 1184, 607, 1354, 269, 519, 1184, 568, 7368, 2394, 789, 723, 6192, 519, 3003, 5311, 563, 3607, 269, 9752, 15484, 454, 13640, 5537, 1899, 15997, 4976, 269, 18445, 3515, 6252, 536, 269, 1863, 9511, 3211, 2813, 609, 12808, 9511, 269, 513, 18445, 3515, 6252, 4976, 269, 7348, 3992, 2889, 1324, 7474, 6050, 732, 1706, 5537, 9749, 269, 2703, 343, 689, 524, 338, 693, 579, 269, 552, 269, 512, 269, 2832, 875, 666, 649, 6961, 602, 1079, 3515, 616, 6252, 798, 1631, 17854, 707, 2626, 4976, 563, 10666, 713, 7688, 4976, 269, 6252, 3515, 616, 1226, 573, 9665, 689, 835, 1776, 543, 786, 2760, 12969, 269, 596, 666, 3313, 2436, 3515, 616, 6252, 676, 9001, 513, 1297, 540, 6310, 269, 3057, 267, 6252, 3515, 15997, 4976, 4267, 269, 18445, 3515, 6252, 4976, 2189, 6252, 3515, 689, 6252, 3515, 543, 4976, 4267, 2707, 563, 4391, 269, 18753, 5029, 9088, 4569, 8074, 9248, 4569, 454, 8794, 891, 1919, 596, 666, 1205, 891, 1079, 1919, 3330, 540, 519, 1079, 12730, 543, 10945, 269, 23155, 2497, 3211, 6252, 2497, 3211, 2259, 269, 713, 568, 519, 6252, 2497, 3211, 3296, 269, 6252, 2497, 568, 519, 17279, 540, 513, 6074, 21342, 1106, 1369, 513, 4845, 563, 4343, 269, 4400, 3427, 16387, 454, 269, 952, 2268, 540, 606, 5086, 568, 1287, 922, 7110, 5086, 786, 581, 3152, 982, 269, 1079, 1073, 339, 2224, 7285, 1106, 513, 5276, 6292, 269, 1079, 8650, 7285, 1106, 513, 5276, 6292, 269, 952, 1079, 11105, 7285, 616, 14911, 789, 1106, 513, 1318, 5086, 269, 2040, 540, 9703, 7285, 593, 519, 1482, 2427, 540, 513, 609, 1079, 6252, 3515, 568, 563, 3849, 329, 8809, 7285, 7299, 7285, 5276, 6292, 24045, 7285, 14911, 7285, 1318, 5086, 2786, 5086, 269, 616, 3515, 602, 798, 711, 12969, 269, 616, 7285, 602, 3160, 269, 616, 7285, 602, 723, 513, 3838, 14584, 543, 513, 3838, 2427, 269, 616, 7285, 4171, 2040, 568, 543, 1927, 1106, 513, 2786, 1899, 563, 4375, 269, 4400, 3427, 16387, 11872, 454, 2005, 949, 581, 9102, 267, 22434, 610, 10710, 543, 1031, 538, 707, 4928, 267, 1753, 1153, 267, 610, 824, 3872, 1604, 547, 948, 2576, 1451, 2979, 269, 18224, 532, 1283, 3211, 1336, 585, 2027, 8424, 540, 7285, 269, 930, 540, 519, 3211, 585, 713, 1523, 616, 5998, 267, 960, 2027, 8424, 540, 7285, 267, 8424, 540, 7285, 267, 2027, 7285, 960, 267, 2012, 519, 2078, 14911, 5276, 6292, 267, 7299, 7285, 543, 11105, 7285, 267, 2798, 3515, 14742, 7285, 267, 1770, 5858, 29890, 563, 2412, 269, 17291, 23155, 20514, 3487, 476, 272, 7591, 454, 25821, 11387, 3211, 609, 4267, 3126, 543, 6252, 11387, 3167, 5547, 5547, 269, 10710, 676, 2241, 4976, 2093, 269, 24275, 3211, 2257, 3211, 4116, 3211, 2257, 4245, 7792, 3211, 3446, 2257, 1164, 1153, 2257, 2257, 4928, 3450, 2257, 563, 15899, 621, 856, 267, 543, 1287, 12990, 621, 609, 606, 6221, 602, 568, 6252, 609, 519, 1964, 540, 519, 1895, 269, 4267, 786, 4268, 952, 596, 723, 2055, 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 ]
[ 519, 3141, 593, 1169, 4541, 568, 3586, 799, 568, 711, 3020, 267, 3615, 2484, 689, 519, 8998, 540, 8904, 899, 32624, 1547, 4840, 296, 786, 598, 1027, 324, 13148, 1934, 269, 32624, 568, 2965, 519, 2547, 10053, 4541, 538, 938, 3859, 1062, 543, 621, 781, 711, 2965, 513, 4541, 269, 594, 1131, 2491, 621, 262, 6228, 607, 513, 834, 560, 2001, 257, 602, 1223, 723, 9411, 519, 3859, 1062, 693, 1022, 1448, 538, 1686, 563, 763, 14230, 540, 519, 3859, 1062, 814, 1185, 476, 275, 269, 276, 5479, 1296, 547, 581, 15044, 676, 5860, 269, 2311, 519, 1360, 2547, 267, 519, 6418, 1614, 10785, 1058, 723, 513, 1114, 11460, 563, 3725, 8117, 2145, 476, 275, 281, 834, 8256, 3569, 540, 4911, 983, 11610, 4799, 308, 3757, 639, 814, 606, 30212, 28550, 540, 476, 7176, 5232, 269, 19026, 30809, 538, 1427, 5766, 8565, 5163, 269, 570, 761, 517, 25057, 3026, 31337, 538, 1427, 5766, 8565, 10739, 269, 18347, 814, 476, 4366, 540, 621, 781, 476, 8287, 24262, 28835, 538, 1427, 5766, 8565, 10739, 269, 21275, 814, 476, 3066, 540, 476, 8618, 15408, 538, 1427, 5766, 8565, 10739, 563, 1432, 781, 519, 7778, 585, 782, 540, 891, 286, 634, 7502, 1707, 1835, 8553, 3069, 286, 7502, 2888, 616, 5393, 4686, 269, 3807, 2015, 519, 2230, 547, 2527, 5223, 269, 7502, 2888, 616, 3592, 7543, 267, 799, 568, 1946, 649, 1294, 865, 2370, 2963, 540, 10739, 19249, 267, 3032, 659, 569, 338, 6193, 267, 4541, 21092, 21611, 269, 769, 1249, 267, 649, 798, 711, 723, 2963, 585, 835, 971, 16580, 563, 1103, 476, 1001, 271, 267, 3368, 513, 18797, 10785, 723, 1141, 4362, 676, 519, 654, 3008, 303, 2616, 2218, 547, 581, 3001, 538, 23651, 10739, 563, 763, 654, 3008, 303, 6602, 666, 1152, 581, 6045, 835, 1259, 281, 1452, 10785, 1705, 711, 1106, 538, 513, 3026, 321, 983, 1486, 334, 13807, 534, 8767, 12210, 563, 11328, 17839, 8767, 7502, 2888, 1223, 711, 723, 12012, 519, 10047, 540, 519, 10785, 269, 1452, 3670, 3859, 1949, 1152, 723, 835, 4541, 1142, 563, 3725, 8117, 2145, 476, 276, 281, 634, 6574, 2963, 585, 519, 683, 321, 3121, 8129, 540, 19236, 1949, 568, 519, 1459, 6228, 540, 922, 11775, 563, 8253, 3020, 269, 3143, 1268, 814, 2479, 2938, 610, 16913, 8795, 11775, 540, 606, 25782, 7452, 6531, 1184, 269, 1284, 2901, 1265, 513, 18343, 12210, 540, 7452, 610, 513, 4628, 4646, 3859, 1062, 269, 1703, 814, 2760, 1044, 513, 7508, 3095, 6602, 563, 20751, 519, 2063, 1032, 267, 519, 3223, 653, 2401, 2230, 16263, 1336, 1100, 1447, 982, 476, 2568, 266, 1007, 10785, 2429, 513, 11739, 342, 540, 1007, 19236, 1949, 269, 3962, 540, 873, 729, 1336, 4628, 4646, 563, 9827, 267, 707, 2959, 3111, 547, 1489, 713, 3409, 269, 2290, 2707, 6811, 547, 723, 9676, 16843, 2592, 540, 1585, 6801, 609, 7452, 12269, 18343, 538, 741, 10739, 269, 634, 2707, 568, 20926, 607, 17548, 281, 257, 763, 4276, 1063, 19706, 1826, 543, 10286, 2450, 568, 14648, 538, 2474, 540, 519, 8390, 538, 519, 3623, 6510, 12998, 8953, 607, 513, 1599, 540, 24974, 24788, 13920, 267, 855, 1223, 849, 581, 22566, 540, 824, 19706, 15178, 17466, 2188, 630, 324, 3052, 1421, 2473, 17530, 267, 11158, 5982, 267, 543, 24974, 270, 4134, 330, 12798, 1040, 4840, 22068, 6510, 12998, 8953, 4016, 547, 4224, 8953, 630, 527, 1590, 267, 6382, 713, 2707, 2306, 1100, 2631, 1040, 1358, 6027, 519, 1769, 540, 519, 5182, 543, 1031, 621, 607, 513, 15977, 4086, 1807, 1996, 2127, 540, 1447, 1769, 630, 26625, 2216, 10785, 1040, 901, 568, 711, 6169, 540, 10785, 8108, 269, 901, 568, 2963, 602, 7452, 12269, 616, 711, 7833, 538, 5860, 269, 898, 781, 849, 22566, 540, 834, 1278, 19706, 15178, 17466, 2188, 630, 324, 3052, 1421, 2473, 17530, 267, 11158, 5982, 267, 543, 24974, 270, 4134, 330, 12798, 1040, 4840, 2026, 7150, 4505, 281, 10793, 700, 1170, 523, 21516, 267, 513, 11001, 693, 519, 8331, 2549, 525, 1382, 4099, 267, 568, 20926, 607, 6031, 602, 646, 9060, 9232, 1492, 8367, 547, 581, 3833, 4617, 6100, 1261, 5170, 547, 2491, 602, 968, 1492, 2856, 540, 8108, 19236, 23780, 538, 713, 6073, 568, 2484, 689, 7152, 3034, 7069, 18545, 814, 3765, 21323, 519, 2963, 267, 14845, 25057, 609, 21611, 563, 7069, 18545, 15861, 569, 598, 1027, 525, 602, 519, 4229, 2877, 547, 30243, 3634, 7452, 616, 5094, 689, 519, 4229, 602, 27581, 1106, 10785, 563, 7069, 18545, 814, 1318, 2685, 6045, 602, 8904, 9775, 676, 3845, 267, 2943, 814, 8959, 547, 1683, 513, 7271, 547, 28195, 519, 9000, 540, 18570, 585, 519, 6418, 1034, 10785, 269, 1284, 1223, 28195, 32624, 855, 1018, 827, 3047, 267, 19026, 543, 22358, 888, 7069, 18545, 814, 13986, 547, 28195, 519, 6228, 540, 1427, 5766, 8565, 2534, 998, 16580, 267, 610, 602, 519, 10785, 4769, 1405, 1106, 538, 519, 3859, 1062, 693, 782, 630, 663, 899, 606, 20503, 267, 1141, 647, 22486, 538, 2663, 1040, 2290, 568, 606, 28195, 267, 519, 824, 13187, 1996, 1010, 3409, 602, 10785, 616, 4646, 689, 606, 25782, 7452, 6531, 563, 1692, 798, 596, 15475, 891, 13193, 613, 834, 17218, 12625, 257, 10785, 616, 5189, 883, 938, 3859, 1062, 286, 9894, 789, 1106, 538, 1776, 1062, 998, 519, 683, 321, 983, 8367, 267, 3640, 741, 11435, 543, 4734, 10739, 267, 1175, 547, 2951, 17542, 540, 1769, 1296, 547, 7017, 538, 938, 1062, 888, 1607, 7521, 568, 3478, 3833, 4277, 269, 594, 9364, 899, 547, 9684, 1250, 18545, 585, 2921, 713, 12517, 543, 5356, 1483, 6735, 563, 10674, 2517, 328, 3591, 7220, 269, 11340, 3820, 1862, 630, 31463, 7859, 2707, 994, 4002, 9412, 7502, 1707, 267, 28545, 543, 595, 826, 645, 8712, 630, 3725, 8117, 2145, 476, 272, 543, 476, 273, 994, 763, 12760, 540, 1079, 3615, 814, 4986, 547, 798, 609, 741, 2450, 269, 1403, 519, 1455, 8904, 540, 519, 1079, 3615, 568, 1804, 2614, 789, 786, 2458, 728, 543, 25146, 269, 4935, 568, 606, 3498, 540, 11201, 30026, 1876, 538, 519, 2796, 540, 8904, 269, 898, 14509, 607, 912, 10454, 14965, 16007, 3196, 1063, 1079, 1448, 13999, 568, 2047, 14354, 547, 519, 1587, 540, 741, 13999, 543, 11201, 569, 14354, 547, 519, 4009, 540, 741, 9668, 3845, 269, 634, 3196, 568, 2141, 10694, 543, 6411, 2059, 519, 1899, 11836, 873, 689, 741, 8998, 1701, 3097, 1103, 513, 1062, 609, 1360, 1906, 610, 4617, 32677, 725, 971, 607, 2230, 2339, 804, 7927, 1927, 267, 949, 621, 581, 513, 4541, 267, 5182, 12440, 610, 14925, 267, 519, 1267, 568, 519, 1482, 269, 4256, 13999, 8806, 11887, 741, 11610, 950, 789, 2458, 728, 563, 7312, 12879, 540, 4521, 540, 17629, 3400, 341, 2787, 568, 2887, 20160, 538, 602, 596, 10460, 513, 7301, 27524, 30315, 267, 972, 616, 824, 3681, 269, 1403, 835, 1843, 568, 693, 1964, 610, 814, 2370, 11610, 630, 305, 272, 264, 543, 1776, 1843, 630, 305, 273, 264, 2458, 1938, 609, 621, 269, 1403, 681, 273, 779, 11610, 568, 28971, 267, 4352, 922, 11610, 568, 1869, 11843, 547, 681, 272, 267, 621, 568, 12842, 609, 2370, 610, 1100, 1198, 269, 769, 4641, 713, 568, 899, 18530, 513, 1216, 17891, 593, 513, 15839, 3774, 267, 20590, 513, 16886, 883, 513, 12123, 1268, 610, 513, 1804, 14368, 1835, 4770, 1524, 593, 513, 4541, 269, 1452, 3615, 1810, 1406, 1175, 25483, 1394, 630, 641, 5406, 476, 272, 264, 610, 1205, 936, 2196, 9706, 19813, 1394, 630, 641, 5406, 476, 273, 264, 789, 25146, 610, 23309, 865, 1279, 607, 519, 11610, 568, 693, 519, 1318, 5223, 269, 1403, 1230, 9969, 4181, 594, 9364, 899, 1864, 547, 2491, 6323, 540, 875, 4439, 7410, 1205, 25778, 3022, 3330, 3615, 563, 2414, 28879, 2769, 519, 4960, 540, 12760, 267, 1065, 13955, 610, 9552, 519, 28995, 4222, 540, 1312, 3615, 267, 519, 1764, 5086, 540, 16580, 543, 11610, 568, 2838, 563, 2026, 585, 519, 678, 10846, 540, 21611, 267, 21611, 616, 1152, 4686, 1631, 538, 519, 1459, 1317, 938, 3859, 1062, 568, 2919, 543, 7123, 282, 519, 1974, 540, 31285, 814, 5293, 269, 1280, 519, 2143, 1184, 267, 1413, 909, 1569, 542, 269, 2659, 8049, 269, 770, 549, 6983, 1941, 749, 269, 3095, 5526, 547, 3858, 563, 296, 10956, 281, 519, 2371, 616, 538, 519, 9753, 789, 616, 538, 7064, 547, 741, 2527, 6730, 9101, 6991, 543, 616, 10691, 5116, 676, 1931, 540, 2527, 563, 2467, 568, 1100, 2601, 519, 6418, 1614, 10785, 1058, 723, 513, 1114, 11460, 1317, 519, 6046, 8367, 3085, 1405, 2154, 789, 581, 538, 1931, 540, 2527, 269, 1403, 1249, 267, 621, 3085, 1405, 17538, 1022, 4990, 540, 11460, 693, 782, 563, 7197, 540, 519, 24262, 538, 519, 3859, 1062, 941, 2899, 30563, 15504, 883, 10739, 269, 1358, 4769, 1405, 723, 547, 723, 2458, 3660, 609, 519, 4541, 789, 1631, 10739, 267, 8806, 15504, 883, 519, 14965, 2361, 540, 602, 4541, 269, 3767, 267, 4605, 538, 519, 4505, 2395, 540, 519, 3859, 1062, 267, 1018, 1131, 4755, 952, 1079, 3677, 4703, 689, 519, 20503, 12966, 2458, 3660, 543, 676, 25896, 5950, 13792, 1570, 602, 1131, 1831, 606, 5790, 607, 789, 6410, 883, 513, 15911, 7997, 286, 6271, 2856, 267, 4440, 519, 1034, 17888, 267, 2306, 946, 540, 1412, 15939, 5328, 10851, 262, 1063, 10785, 630, 5408, 20771, 6949, 1734, 5148, 19026, 26871, 1154, 519, 4287, 540, 922, 10739, 1310, 10024, 835, 540, 891, 10851, 269, 634, 4367, 547, 713, 476, 2013, 1353, 4422, 998, 519, 1686, 540, 2219, 593, 519, 2339, 563, 15563, 267, 972, 814, 2760, 1044, 513, 19236, 1062, 1141, 1169, 4541, 814, 1044, 1336, 538, 1427, 5766, 8565, 10739, 269, 2334, 1131, 15861, 569, 5641, 930, 8969, 593, 519, 6323, 3238, 609, 875, 7452, 12269, 12900, 855, 1131, 711, 581, 2614, 547, 16355, 557, 8367, 538, 922, 30810, 563, 7312, 2707, 689, 2817, 22127, 3081, 476, 277, 540, 519, 476, 2767, 10785, 941, 538, 1427, 5766, 8565, 10739, 267, 15991, 513, 5354, 269, 3097, 20442, 2901, 1265, 513, 18343, 12210, 540, 7452, 610, 513, 4628, 4646, 3859, 1062, 269, 1703, 814, 2760, 1044, 513, 7508, 3095, 6602, 4840, 16178, 269, 5019, 26979, 8767, 28283, 723, 1044, 1336, 1472, 519, 6801, 670, 295, 268, 1789, 267, 966, 9298, 267, 1325, 15343, 17433, 267, 674, 10095, 327, 2246, 2059, 11735, 513, 3677, 3154, 10785, 269, 901, 3239, 729, 3144, 676, 519, 26931, 6611, 16263, 540, 519, 12210, 1472, 519, 5182, 674, 10095, 327, 2246, 269, 1496, 10674, 2517, 4944, 659, 564, 10061, 2100, 3820, 1862, 316, 476, 898, 2982, 519, 4541, 674, 10095, 327, 2246, 536, 267, 519, 4102, 543, 1034, 6654, 540, 519, 10785, 267, 538, 6935, 547, 12210, 602, 27788, 519, 5182, 563, 4002, 519, 15190, 571, 540, 2598, 802, 1472, 570, 570, 4768, 328, 25578, 269, 634, 6240, 1448, 6013, 538, 713, 281, 634, 4767, 476, 1015, 543, 476, 736, 32755, 3623, 6510, 4183, 9342, 270, 3333, 16747, 616, 5812, 609, 2707, 3562, 21299, 7648, 538, 10286, 2450, 269, 589, 1804, 6824, 540, 519, 2934, 616, 4617, 543, 6366, 267, 5812, 609, 25050, 13355, 9274, 10834, 3728, 10286, 2208, 630, 5228, 476, 271, 269, 272, 547, 476, 272, 269, 271, 32755, 538, 8953, 1040, 901, 568, 10502, 538, 5329, 609, 519, 2856, 602, 972, 568, 606, 934, 4958, 542, 12210, 543, 602, 519, 31830, 270, 6588, 1231, 602, 17492, 621, 616, 538, 1249, 804, 18804, 563, 3519, 814, 1500, 543, 4661, 1759, 21246, 958, 593, 519, 21568, 540, 4031, 540, 6323, 543, 513, 24677, 540, 9648, 7613, 269, 3571, 2798, 616, 21246, 958, 1875, 3524, 527, 2720, 3361, 676, 513, 22293, 540, 1249, 269, 6736, 782, 713, 621, 568, 1271, 547, 1448, 856, 602, 1230, 814, 711, 3177, 721, 609, 606, 4244, 7778, 585, 519, 5250, 540, 19236, 1949, 269, 594, 2307, 1864, 1631, 267, 1354, 621, 568, 1932, 3735, 267, 952, 10785, 543, 6801, 941, 711, 4646, 689, 683, 321, 983, 875, 941, 789, 4646, 286, 5221, 693, 519, 4090, 519, 6571, 3788, 14751, 539, 267, 1100, 4244, 2014, 585, 19236, 1949, 814, 1044, 3177, 543, 519, 2257, 585, 621, 3788, 16856, 269, 1403, 1230, 1281, 711, 1683, 1776, 7778, 610, 16355, 1407, 519, 21150, 787, 4577, 28545, 13192, 7869, 609, 2347, 6015, 1287, 621, 786, 581, 1250, 11802, 676, 9949, 563, 296, 849, 2307, 602, 538, 2104, 21448, 1230, 26779, 1010, 2959, 883, 1010, 1257, 1317, 538, 519, 1106, 789, 2291, 538, 1631, 789, 2408, 547, 581, 4351, 563, 4534, 5291, 2517, 523, 25769, 3820, 2483, 4534, 5291, 2517, 4178, 269, 574, 322, 576, 8807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3916, 527, 25507, 9272, 2891, 11767, 3970, 27363, 328, 284, 272, 454, 8999, 284, 271, 454, 6112, 1775, 14857, 548, 9191, 3916, 527, 2187, 825, 2040, 815, 2040, 266, 328, 454, 825, 1775, 815, 1775, 266, 272, 454, 2745, 4433, 636, 994, 0, 655, 1943, 2465, 17342, 454, 825, 1496, 1911, 2437, 2304, 559, 14824, 16467, 518, 2580, 4335, 271, 267, 2735, 280, 267, 1960, 276, 16689, 825, 1496, 6200, 2437, 306, 1495, 541, 14824, 28319, 2580, 4335, 876, 267, 3192, 271, 267, 1960, 271, 16689, 825, 1496, 9083, 2437, 2304, 663, 14824, 5271, 2580, 7785, 271, 267, 2735, 280, 267, 1960, 272, 16689, 825, 1496, 10755, 2437, 288, 330, 1662, 14824, 16467, 518, 2580, 7785, 876, 267, 1960, 271, 267, 1960, 280, 16689, 6540, 10946, 15680, 284, 10946, 17338, 9852, 777, 10857, 10033, 900, 281, 655, 314, 274, 3910, 655, 1943, 2465, 21875, 2745, 32384, 15680, 2020, 28744, 1152, 4408, 454, 1721, 3227, 538, 9441, 912, 825, 1820, 263, 11391, 314, 272, 7481, 2745, 4590, 1721, 3227, 538, 9441, 912, 825, 1820, 263, 11391, 314, 274, 7481, 2745, 4590, 1721, 3227, 538, 9441, 912, 825, 952, 263, 11391, 314, 273, 316, 2525, 257, 16467, 518, 257, 2187, 1038, 1820, 263, 11391, 2020, 8999, 284, 271, 454, 20135, 284, 271, 454, 1721, 3227, 538, 9441, 912, 825, 2040, 284, 8999, 266, 11391, 314, 274, 2639, 2745, 4433, 636, 2020, 26171, 284, 271, 454, 1721, 3227, 538, 9441, 912, 825, 952, 3227, 314, 274, 316, 285, 26171, 912, 1038, 1804, 284, 11391, 314, 274, 2639, 2745, 10857, 1618, 994, 331, 560, 273, 17342, 2639, 1721, 3227, 538, 9441, 912, 825, 32102, 273, 6910, 263, 11391, 314, 274, 7481, 2745, 32384, 10857, 560, 273, 4917, 28744, 5520, 5249, 538, 476, 1960, 271, 338, 454, 28744, 1995, 540, 1142, 17354, 454, 28744, 9441, 609, 5207, 14057, 454, 331, 560, 273, 17342, 2639, 2745, 2891, 16987, 1466, 540, 1142, 9367, 5602, 1721, 3227, 538, 9441, 912, 825, 32102, 273, 6910, 263, 11391, 314, 276, 316, 268, 11391, 314, 275, 7481, 825, 1820, 263, 11391, 314, 276, 316, 268, 11391, 314, 275, 7481, 2745, 2891, 295, 580, 4554, 15232, 5602, 2745, 32384, 10857, 560, 273, 4917, 322, 284, 331, 560, 273, 28827, 32384, 10857, 560, 273, 4917, 2745, 263, 655, 1943, 2465, 314, 322, 7481, 331, 560, 274, 17342, 2639, 1721, 3227, 538, 9441, 912, 825, 952, 3227, 314, 275, 316, 13843, 476, 1960, 271, 543, 3227, 314, 276, 316, 283, 1220, 271, 912, 1038, 32102, 274, 6910, 263, 11391, 314, 272, 7481, 2745, 2891, 32715, 4315, 5249, 538, 476, 1960, 271, 338, 5602, 1721, 1535, 538, 32102, 274, 912, 825, 1820, 3287, 2020, 0, 5814, 4351, 1477, 5814, 5569, 1477, 5814, 19474, 12221, 24653, 3698, 4351, 21803, 30415, 21920, 284, 1015, 8029, 825, 5022, 815, 5569, 269, 30913, 328, 318, 869, 27664, 1477, 825, 2132, 1412, 8339, 21860, 263, 12690, 26716, 4069, 263, 24393, 264, 585, 1775, 538, 2039, 30415, 21920, 17903, 825, 1477, 825, 5897, 3698, 3070, 30044, 23952, 8029, 825, 585, 1775, 538, 2039, 12759, 30044, 23952, 264, 8029, 1038, 795, 815, 1775, 1341, 476, 272, 1477, 1038, 1247, 795, 2999, 7003, 30044, 23952, 8029, 2018, 952, 1250, 23952, 5157, 316, 2652, 1250, 23952, 14728, 316, 6769, 3546, 2132, 1250, 23952, 5157, 15947, 2018, 795, 6834, 476, 272, 567, 1477, 825, 2132, 834, 301, 1638, 257, 17264, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1250, 23952, 815, 4351, 21803, 14052, 825, 1820, 30044, 23952, 3418, 825, 1820, 4433, 1828, 30044, 23952, 4297, 0, 5814, 11885, 607, 5286, 7531, 3698, 2571, 10946, 3287, 2187, 825, 8173, 825, 30770, 519, 2571, 10946, 1599, 585, 1142, 4737, 540, 519, 3403, 1535, 780, 825, 898, 568, 2629, 602, 713, 1599, 568, 20979, 585, 3432, 1317, 454, 825, 621, 786, 581, 1031, 4749, 538, 2663, 3009, 563, 825, 1411, 1522, 1265, 11885, 3252, 5286, 269, 10339, 267, 5286, 27904, 267, 5286, 269, 31412, 2676, 825, 5286, 27982, 267, 543, 11885, 31076, 3730, 585, 713, 4305, 269, 630, 31596, 454, 825, 31076, 12319, 912, 825, 5291, 2517, 25269, 338, 31892, 27251, 3820, 7933, 665, 14672, 17056, 270, 12528, 11486, 553, 923, 12500, 5802, 26511, 11258, 2020, 825, 1411, 1058, 849, 1118, 2386, 602, 707, 3009, 1568, 585, 835, 454, 825, 21021, 11378, 630, 339, 805, 519, 6152, 607, 513, 4737, 1070, 596, 1522, 1265, 454, 825, 621, 5363, 585, 707, 2663, 2042, 563, 825, 8173, 825, 1948, 22400, 2910, 14701, 28313, 454, 825, 3193, 10983, 815, 5286, 27982, 3287, 267, 7852, 15871, 272, 267, 1832, 323, 15501, 18989, 994, 825, 2132, 5286, 269, 10339, 3287, 910, 3193, 10983, 8358, 12639, 27904, 18828, 269, 10339, 3287, 910, 3193, 10983, 1070, 7852, 15871, 272, 267, 1832, 323, 15501, 18989, 2020, 3698, 1449, 318, 7809, 10946, 10734, 553, 545, 10031, 825, 8173, 825, 2368, 2241, 4255, 547, 1205, 596, 3323, 563, 825, 2782, 940, 281, 891, 616, 711, 29882, 563, 825, 8173, 825, 1820, 3488, 305, 7342, 2596, 4255, 1862, 5073, 825, 1449, 272, 815, 2571, 10946, 18828, 15126, 8443, 272, 267, 476, 273, 28413, 825, 1820, 6025, 652, 272, 994, 825, 7682, 5286, 269, 600, 1314, 18828, 8807, 11274, 6025, 652, 272, 910, 5286, 15126, 18692, 1038, 1496, 271, 269, 28803, 280, 6078, 5655, 267, 476, 271, 269, 278, 4029, 4962, 279, 6812, 316, 30727, 10922, 476, 272, 324, 268, 277, 692, 825, 1449, 273, 815, 2571, 10946, 18828, 15126, 31912, 1911, 272, 267, 476, 1911, 273, 3910, 1496, 274, 267, 476, 275, 14963, 4917, 825, 1820, 6025, 652, 273, 994, 825, 7682, 5286, 269, 600, 1314, 18828, 8807, 11274, 6025, 652, 273, 910, 5286, 15126, 18692, 1038, 20886, 271, 269, 28803, 280, 6078, 5655, 267, 476, 271, 269, 278, 4029, 4962, 279, 6812, 3910, 1496, 271, 269, 28803, 280, 6078, 5655, 267, 476, 271, 269, 278, 4029, 4962, 279, 6812, 14963, 30727, 10922, 476, 272, 324, 268, 277, 692, 825, 1449, 274, 815, 2571, 10946, 18828, 15126, 8443, 15631, 1911, 272, 267, 910, 1911, 273, 14963, 4917, 825, 1820, 6025, 652, 274, 994, 825, 7682, 5286, 269, 600, 1314, 18828, 8807, 11274, 6025, 652, 274, 910, 5286, 15126, 18692, 1038, 1496, 271, 269, 278, 4029, 4962, 279, 6812, 267, 476, 271, 269, 28803, 280, 6078, 5655, 316, 30727, 10922, 476, 272, 324, 268, 277, 692, 825, 1948, 2745, 3488, 2791, 1058, 13182, 891, 2164, 256, 315, 333, 262, 9239, 3698, 1449, 318, 7809, 10946, 10031, 825, 8173, 825, 2422, 713, 2230, 547, 1449, 707, 2571, 10946, 6388, 676, 4881, 912, 1038, 9226, 274, 2571, 10946, 18258, 454, 825, 8173, 825, 1948, 2745, 3488, 305, 7342, 707, 4255, 1862, 5073, 825, 1948, 22400, 2910, 14701, 28313, 454, 825, 689, 1085, 27251, 4732, 2133, 1104, 2571, 10946, 607, 521, 338, 1948, 4134, 25068, 267, 1152, 585, 4152, 5301, 454, 825, 1104, 942, 692, 825, 5833, 815, 2571, 10946, 18828, 15126, 8443, 272, 28413, 825, 1820, 263, 984, 22633, 994, 825, 759, 344, 815, 521, 338, 18828, 15126, 8443, 272, 28413, 825, 7682, 5286, 269, 600, 1314, 18828, 8807, 11274, 263, 984, 22633, 910, 759, 344, 264, 10922, 476, 272, 324, 268, 277, 2020, 825, 5833, 815, 2571, 10946, 18828, 15126, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 28413, 825, 1820, 263, 984, 22633, 994, 825, 759, 344, 815, 521, 338, 18828, 15126, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 28413, 825, 7682, 5286, 269, 600, 1314, 18828, 8807, 11274, 263, 984, 22633, 910, 759, 344, 264, 10922, 476, 272, 324, 268, 277, 2020, 825, 1376, 815, 942, 17085, 1442, 4590, 825, 18287, 815, 2571, 10946, 18828, 15126, 31912, 1911, 271, 267, 273, 267, 274, 25662, 275, 267, 276, 267, 277, 25662, 278, 267, 279, 267, 280, 25662, 272, 267, 273, 267, 274, 14963, 4917, 825, 1439, 815, 942, 17085, 1442, 4590, 825, 938, 22710, 815, 1439, 3613, 691, 454, 825, 1376, 815, 942, 17085, 1442, 4590, 825, 18287, 815, 521, 338, 18828, 15126, 31912, 1911, 271, 267, 273, 267, 274, 25662, 275, 267, 276, 267, 277, 25662, 278, 267, 279, 267, 280, 25662, 272, 267, 273, 267, 274, 14963, 4917, 825, 1439, 815, 942, 17085, 1442, 4590, 825, 741, 22710, 815, 1439, 3613, 691, 454, 825, 7156, 318, 1721, 5334, 32497, 815, 938, 22710, 910, 741, 22710, 454, 825, 1820, 2891, 5503, 3017, 281, 14307, 7156, 318, 1721, 5334, 32497, 2020, 825, 1820, 2891, 307, 3949, 5293, 15419, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1449, 318, 7809, 10946, 10734, 553, 545, 4590, 825, 1449, 318, 7809, 10946, 4590, 0, 18851, 9717, 513, 25047, 540, 562, 3268, 2676, 825, 1020, 513, 1505, 547, 1265, 782, 3097, 825, 2009, 10659, 547, 1205, 547, 519, 454, 825, 1283, 267, 952, 596, 666, 2285, 3268, 540, 5021, 454, 825, 476, 274, 3268, 692, 825, 23830, 1384, 7386, 476, 271, 454, 1038, 476, 272, 19930, 476, 273, 19930, 476, 274, 454, 825, 476, 273, 567, 476, 274, 476, 476, 275, 672, 476, 276, 476, 476, 277, 476, 476, 278, 672, 476, 279, 476, 476, 280, 476, 476, 1015, 692, 825, 17778, 281, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 692, 12163, 5228, 533, 2745, 1104, 533, 2745, 454, 5814, 942, 7531, 3698, 1265, 7272, 23411, 3799, 267, 1900, 15481, 2187, 825, 24383, 815, 2715, 1775, 585, 1775, 538, 2039, 3799, 266, 272, 264, 8679, 825, 10092, 815, 29129, 825, 1219, 1847, 14067, 788, 263, 560, 4202, 267, 1900, 284, 271, 267, 2619, 17342, 316, 2187, 1038, 1948, 1520, 329, 8809, 30455, 454, 1038, 1875, 29985, 10092, 267, 1900, 15481, 454, 1038, 7755, 815, 11713, 1038, 585, 562, 868, 538, 2039, 263, 21163, 266, 272, 267, 21163, 266, 272, 266, 21163, 15481, 2187, 2018, 952, 562, 868, 538, 24383, 912, 3546, 7755, 6910, 3799, 868, 994, 1038, 1948, 1284, 6603, 519, 1439, 540, 519, 25047, 454, 1038, 952, 711, 7755, 912, 2018, 10092, 6910, 9638, 987, 994, 1038, 1948, 1234, 15479, 542, 454, 1038, 585, 6843, 538, 7755, 912, 2018, 1847, 14067, 788, 263, 560, 4202, 267, 1900, 284, 27161, 267, 2619, 284, 12949, 11468, 27994, 314, 27161, 20285, 825, 1847, 14067, 788, 263, 560, 4202, 267, 1900, 284, 271, 267, 2619, 17342, 271, 7481, 825, 2132, 10092, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3268, 815, 476, 736, 454, 825, 1900, 15481, 815, 476, 274, 454, 825, 1376, 815, 942, 28333, 4590, 825, 10092, 815, 1265, 7272, 23411, 263, 25074, 267, 1900, 15481, 994, 825, 1820, 2891, 5472, 10092, 585, 16246, 909, 519, 24383, 281, 15079, 2668, 8971, 12759, 9638, 23411, 21875, 825, 1439, 815, 942, 28333, 10797, 825, 1820, 2891, 307, 809, 15079, 834, 269, 8971, 263, 754, 3613, 691, 11723, 825, 1948, 653, 11781, 9638, 23411, 264, 0, 18851, 3962, 1032, 519, 1754, 618, 5305, 513, 1592, 540, 519, 476, 1911, 876, 1034, 1455, 4816, 4408, 454, 825, 543, 741, 12451, 269, 634, 1152, 1966, 586, 602, 930, 4408, 723, 2789, 29745, 454, 825, 630, 1721, 1383, 3627, 267, 13744, 267, 3627, 5500, 264, 602, 1131, 581, 9247, 519, 1482, 2012, 855, 1131, 454, 825, 2408, 14384, 538, 519, 1592, 269, 3097, 825, 9717, 1079, 8638, 267, 835, 540, 519, 630, 12849, 267, 4908, 264, 543, 1776, 540, 6292, 540, 6697, 454, 825, 4408, 267, 2328, 606, 5690, 547, 1820, 513, 1007, 1592, 540, 519, 1854, 4908, 540, 1142, 2012, 563, 825, 8074, 281, 1403, 13744, 543, 3627, 616, 19655, 543, 3627, 543, 2977, 327, 5500, 616, 19655, 267, 1287, 13744, 543, 454, 825, 3627, 5500, 616, 19655, 630, 527, 781, 1312, 1098, 1438, 543, 21136, 264, 8528, 825, 14627, 4293, 281, 3627, 263, 1428, 1070, 297, 517, 263, 1321, 1070, 18281, 263, 1724, 1070, 298, 5142, 263, 275, 1070, 13731, 9372, 263, 866, 994, 825, 14271, 11618, 281, 13744, 267, 11990, 32140, 11990, 267, 11990, 5500, 32140, 2419, 5142, 267, 298, 5142, 32140, 2419, 5142, 267, 18332, 994, 825, 19243, 281, 3627, 263, 2767, 1070, 918, 5142, 263, 3607, 2020, 20701, 12849, 815, 1496, 454, 825, 9497, 11990, 2580, 476, 1428, 13211, 825, 9497, 297, 517, 2580, 476, 1321, 13211, 825, 9497, 2419, 5142, 2580, 476, 1724, 13211, 825, 9497, 298, 5142, 2580, 476, 275, 13211, 825, 9497, 13731, 9372, 2580, 476, 866, 994, 6540, 27675, 11618, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5789, 337, 1176, 267, 5180, 513, 949, 335, 1961, 269, 7638, 1176, 649, 21078, 538, 606, 2085, 540, 13300, 269, 0, 307, 2397, 667, 1195, 548, 11339, 7498, 28846, 4083, 267, 693, 519, 2085, 540, 476, 7918, 267, 9788, 1524, 1010, 3618, 569, 13862, 585, 606, 32161, 835, 693, 29869, 593, 11016, 5988, 476, 277, 628, 476, 12739, 276, 269, 3571, 2063, 4576, 568, 15983, 519, 1655, 13006, 2013, 1686, 538, 519, 27867, 2540, 269, 1703, 941, 2789, 2363, 1168, 5893, 6589, 269, 634, 4013, 4528, 729, 4050, 2740, 676, 519, 12751, 9576, 4284, 6509, 11184, 8176, 25753, 15734, 543, 2663, 1098, 8282, 538, 634, 7831, 17963, 540, 8176, 4083, 676, 31434, 595, 3863, 325, 6324, 267, 630, 5141, 732, 526, 517, 4964, 267, 10228, 267, 476, 5002, 280, 1040, 898, 2306, 23892, 2542, 563, 28846, 729, 606, 15151, 2635, 812, 267, 1065, 3176, 547, 723, 1185, 24369, 5134, 19843, 543, 19939, 24648, 527, 1493, 1453, 269, 2201, 11728, 6640, 267, 5988, 476, 273, 526, 476, 12739, 276, 267, 1247, 693, 1010, 705, 331, 1903, 267, 646, 11124, 513, 23069, 609, 5996, 6160, 687, 543, 10151, 1793, 584, 2590, 540, 4633, 269, 5565, 13500, 941, 593, 1688, 543, 835, 267, 31611, 3751, 267, 24013, 4319, 476, 1626, 13728, 540, 1973, 630, 14596, 6447, 264, 689, 519, 4622, 779, 1318, 6186, 267, 15151, 609, 7525, 8323, 269, 14520, 811, 13500, 4166, 8452, 543, 6569, 1776, 476, 279, 13728, 609, 24140, 6137, 14296, 4294, 547, 2620, 10077, 5874, 538, 519, 17525, 269, 1261, 729, 1287, 2016, 1312, 606, 900, 2045, 543, 513, 1625, 326, 894, 547, 8900, 1010, 7181, 543, 6367, 1564, 269, 901, 729, 4553, 676, 1079, 679, 655, 553, 543, 2417, 1625, 326, 2510, 269, 3973, 267, 2687, 547, 519, 4013, 2272, 267, 16217, 564, 699, 320, 2588, 14275, 636, 22272, 573, 655, 1799, 582, 636, 882, 1172, 5166, 630, 1729, 4734, 1100, 6149, 2150, 29354, 264, 1025, 3563, 532, 8069, 941, 4294, 782, 936, 1010, 2212, 267, 1310, 1010, 4552, 1185, 1044, 695, 8491, 563, 2005, 729, 1287, 4956, 547, 14867, 519, 2604, 540, 519, 1208, 2293, 593, 519, 2634, 676, 1802, 1424, 32125, 267, 609, 513, 8869, 540, 3043, 927, 30503, 648, 5072, 543, 2663, 6428, 2549, 3000, 13519, 4294, 547, 519, 19911, 337, 2812, 269, 1924, 607, 547, 1832, 1010, 6367, 1564, 3742, 693, 3781, 267, 811, 561, 1314, 2510, 941, 2016, 1079, 5662, 569, 269, 2311, 519, 1482, 942, 267, 547, 25559, 519, 9470, 3429, 540, 1010, 10729, 267, 689, 519, 2052, 628, 541, 1938, 538, 519, 1025, 3563, 532, 5061, 267, 513, 25695, 900, 13955, 540, 24061, 609, 4508, 528, 823, 729, 2016, 269, 18264, 683, 844, 573, 8247, 636, 882, 22055, 699, 339, 584, 630, 810, 607, 547, 4734, 4986, 2150, 3072, 1070, 726, 7539, 5627, 1975, 25973, 543, 26990, 1495, 344, 623, 3558, 941, 4294, 547, 519, 1151, 525, 540, 1010, 3952, 563, 4002, 13638, 646, 729, 1025, 539, 4557, 13728, 689, 519, 795, 1872, 983, 15532, 269, 2201, 13723, 646, 729, 2016, 2417, 561, 1314, 2510, 855, 602, 3781, 646, 2968, 865, 2192, 602, 1010, 7189, 11311, 13336, 540, 5274, 4787, 1638, 630, 2412, 12772, 1040, 901, 729, 4122, 1031, 538, 5996, 14601, 4713, 543, 2219, 547, 957, 998, 519, 1379, 540, 19583, 267, 2094, 519, 15693, 1185, 547, 581, 689, 2576, 945, 1185, 5747, 3423, 1836, 269, 2201, 13628, 519, 3751, 779, 26110, 941, 6998, 1175, 1018, 729, 4636, 609, 1864, 1107, 513, 4062, 540, 4987, 519, 7189, 2933, 1131, 723, 1044, 6126, 547, 723, 269, 898, 729, 1287, 6700, 602, 646, 729, 7092, 689, 26740, 8611, 543, 865, 729, 2016, 21360, 540, 25590, 577, 7431, 630, 297, 525, 3726, 779, 264, 13626, 1614, 5662, 569, 267, 2687, 547, 513, 13310, 9896, 676, 476, 1691, 7189, 563, 4002, 519, 6640, 540, 11016, 476, 277, 628, 646, 729, 1025, 539, 1586, 543, 2016, 606, 1349, 540, 513, 1360, 1804, 1297, 540, 11922, 267, 32314, 23690, 3122, 16115, 543, 3619, 320, 6149, 269, 901, 8545, 729, 513, 598, 17917, 630, 2041, 15605, 541, 264, 4646, 538, 519, 7181, 540, 606, 5101, 4095, 23820, 543, 729, 5156, 547, 723, 25386, 2702, 547, 25559, 1093, 11143, 543, 7794, 519, 4105, 7060, 269, 1635, 4571, 2173, 528, 940, 646, 729, 16094, 2110, 540, 7362, 8903, 1864, 547, 1694, 20005, 269, 1635, 4557, 646, 729, 635, 520, 846, 267, 543, 693, 29869, 646, 5747, 563, 4002, 14349, 476, 278, 628, 606, 1313, 641, 1910, 729, 5340, 267, 27229, 1317, 519, 4576, 729, 32584, 269, 634, 2164, 540, 519, 1313, 641, 1910, 616, 1134, 13006, 563, 1103, 24583, 321, 686, 23634, 823, 10469, 2801, 1696, 1488, 614, 23706, 24101, 571, 1110, 636, 556, 921, 339, 2801, 269, 630, 763, 15532, 543, 16209, 593, 519, 2634, 2627, 941, 25983, 958, 2407, 1916, 290, 699, 321, 686, 6084, 28602, 25625, 9631, 5886, 1583, 6242, 22712, 600, 544, 831, 807, 538, 1495, 10620, 267, 6084, 476, 2354, 320, 6086, 807, 931, 574, 8270, 1208, 648, 688, 644, 26550, 3438, 708, 8117, 320, 269, 630, 763, 19548, 28602, 956, 941, 4904, 609, 513, 2186, 540, 26481, 1570, 543, 519, 2634, 6219, 8659, 513, 2147, 1208, 712, 1916, 763, 9641, 941, 590, 1481, 710, 1201, 1068, 320, 630, 322, 784, 6479, 609, 1973, 1040, 634, 2295, 543, 14159, 8219, 941, 11389, 5658, 762, 563, 290, 3863, 325, 6324, 18390, 18304, 713, 909, 609, 281, 2048, 5804, 891, 6589, 835, 949, 7682, 609, 9645, 6015, 602, 1010, 2669, 729, 1813, 547, 5312, 30704, 8459, 630, 320, 1106, 540, 24761, 779, 2068, 264, 609, 579, 571, 2438, 5996, 6160, 687, 267, 2048, 3891, 729, 513, 1804, 552, 831, 543, 5631, 540, 11549, 6058, 748, 1426, 269, 15850, 646, 1185, 3144, 11884, 267, 693, 2053, 547, 14407, 4430, 281, 646, 1185, 1044, 519, 10553, 540, 4638, 6612, 685, 630, 335, 269, 476, 1626, 1916, 1607, 568, 8915, 569, 11234, 269, 2311, 1313, 641, 1910, 519, 14401, 941, 3339, 543, 865, 24761, 779, 2068, 630, 577, 3055, 1350, 9593, 592, 517, 32397, 8539, 264, 568, 1034, 12691, 269, 3683, 785, 592, 10885, 538, 4189, 267, 4568, 543, 3023, 267, 4352, 561, 3512, 762, 267, 10355, 2164, 538, 2669, 269, 634, 4791, 1686, 4992, 899, 19548, 11702, 267, 4440, 1016, 541, 778, 333, 1355, 269, 901, 568, 1813, 547, 24694, 689, 606, 27555, 31729, 332, 267, 5634, 693, 1101, 855, 8886, 908, 547, 519, 3382, 902, 540, 519, 2634, 269, 8176, 7283, 6857, 543, 972, 729, 1100, 18215, 8467, 269, 634, 1101, 1016, 541, 778, 333, 1355, 688, 13579, 9071, 720, 814, 606, 2799, 10171, 540, 513, 2034, 811, 21472, 18053, 1310, 513, 1906, 2395, 267, 713, 942, 883, 519, 2634, 6219, 269, 901, 4806, 13352, 8176, 685, 4791, 1576, 269, 3807, 1354, 646, 5747, 646, 2968, 16094, 2110, 540, 7362, 269, 901, 568, 2693, 547, 723, 1044, 3361, 676, 5778, 28193, 17422, 522, 539, 9047, 267, 3006, 2404, 609, 12499, 576, 516, 13887, 2621, 269, 7053, 267, 519, 1313, 641, 1910, 4681, 1533, 602, 519, 19548, 28602, 956, 941, 4904, 609, 26481, 5714, 543, 513, 2147, 2186, 540, 1570, 538, 519, 2634, 6219, 269, 901, 568, 1175, 1018, 1131, 581, 4397, 538, 1016, 541, 778, 333, 1355, 543, 6281, 12499, 576, 516, 13887, 11702, 563, 8005, 5340, 519, 1313, 641, 1910, 568, 711, 6592, 269, 1717, 267, 2094, 9400, 13722, 1185, 1454, 519, 1034, 1995, 540, 703, 2350, 31424, 6514, 1310, 2324, 609, 7338, 4024, 529, 267, 646, 1590, 723, 1044, 3238, 563, 8601, 7811, 8441, 538, 2564, 2257, 693, 713, 942, 267, 4052, 2126, 607, 3254, 538, 519, 3751, 779, 2359, 729, 1869, 12082, 538, 1208, 712, 531, 3069, 269, 27870, 519, 1439, 540, 1010, 4576, 8176, 1500, 1010, 4583, 6376, 827, 1373, 606, 14955, 2675, 542, 762, 942, 513, 1673, 3539, 267, 799, 4992, 811, 899, 513, 11755, 585, 5838, 766, 982, 606, 3284, 1108, 269, 0, 301, 24535, 269, 8786, 267, 602, 568, 519, 2626, 269, 1411, 1810, 1405, 991, 1022, 5850, 547, 1831, 513, 12333, 5358, 1067, 282, 1411, 1152, 991, 3586, 6657, 563, 27237, 292, 281, 594, 993, 711, 6031, 596, 12582, 1405, 1491, 18862, 855, 1100, 2179, 540, 18862, 786, 1118, 596, 513, 1160, 563, 25284, 2719, 568, 1175, 899, 1169, 824, 3364, 596, 798, 538, 713, 1272, 269, 1411, 1810, 1405, 1451, 676, 1175, 3168, 630, 21671, 3069, 264, 855, 676, 3257, 630, 11666, 6681, 2259, 1916, 2791, 1810, 1405, 1451, 875, 547, 5397, 1175, 676, 8384, 2576, 5397, 454, 2791, 1810, 1405, 1451, 875, 547, 3434, 1175, 676, 8384, 2576, 3434, 454, 2791, 1810, 1405, 1451, 875, 547, 798, 4376, 1175, 676, 8384, 2576, 798, 621, 454, 4131, 803, 9305, 609, 596, 513, 3787, 281, 1411, 1205, 513, 5850, 543, 596, 1224, 11320, 2255, 630, 3667, 23218, 23450, 264, 607, 519, 2013, 6148, 267, 596, 1294, 519, 20131, 798, 3388, 1900, 676, 1900, 543, 621, 5654, 865, 2653, 543, 865, 596, 1745, 899, 596, 666, 798, 713, 543, 596, 2161, 547, 3054, 281, 834, 2691, 594, 991, 713, 594, 786, 3277, 547, 713, 5850, 257, 543, 596, 1847, 547, 1776, 5850, 563, 11039, 267, 621, 781, 15528, 17751, 269, 3509, 540, 721, 1500, 713, 12161, 2907, 865, 649, 1174, 2336, 3719, 723, 596, 2479, 2219, 547, 3054, 912, 3963, 616, 891, 18862, 2356, 17079, 6954, 888, 3086, 267, 1589, 827, 602, 585, 513, 4090, 2336, 11039, 267, 519, 2626, 568, 2241, 910, 21493, 723, 13736, 1354, 4947, 547, 4001, 596, 454, 9617, 899, 602, 20131, 267, 596, 723, 547, 2259, 7683, 269, 1879, 596, 2259, 267, 891, 5205, 912, 268, 1411, 2743, 12961, 630, 2889, 21793, 264, 910, 1310, 718, 267, 5752, 568, 782, 827, 1966, 6061, 563, 268, 1411, 979, 998, 519, 1928, 543, 7772, 540, 6061, 519, 1966, 563, 268, 1879, 596, 6368, 798, 267, 596, 786, 723, 1831, 513, 1732, 27732, 563, 8923, 10544, 707, 1378, 7484, 543, 1246, 803, 454, 268, 6258, 519, 9238, 540, 5752, 630, 1415, 1893, 540, 707, 3903, 1916, 268, 17292, 909, 513, 1788, 630, 2005, 1223, 581, 4376, 8151, 689, 513, 570, 7495, 302, 2561, 267, 513, 5816, 267, 513, 14769, 267, 2520, 334, 5498, 1105, 813, 3092, 1916, 268, 8571, 856, 513, 1544, 547, 1628, 519, 813, 630, 1607, 1522, 1331, 875, 519, 4395, 15134, 630, 21397, 264, 5654, 267, 875, 519, 6538, 616, 1644, 610, 4448, 267, 875, 519, 1394, 15134, 1568, 543, 865, 593, 1916, 268, 5590, 513, 10257, 21120, 543, 960, 2509, 621, 630, 1607, 568, 1360, 1271, 607, 621, 8952, 596, 5059, 910, 596, 917, 950, 596, 616, 3001, 3728, 543, 950, 596, 616, 3500, 1916, 268, 11408, 946, 11657, 566, 630, 10673, 1405, 2119, 547, 1451, 3388, 593, 519, 12319, 282, 1445, 593, 1018, 596, 991, 585, 519, 12032, 540, 519, 1788, 596, 8359, 1916, 268, 5213, 1405, 7340, 5616, 9612, 543, 962, 19834, 2523, 950, 596, 2196, 883, 12961, 630, 7197, 2042, 596, 786, 2196, 883, 814, 1044, 5185, 676, 2576, 543, 13006, 2228, 1916, 13425, 856, 891, 5697, 17408, 1115, 585, 19015, 543, 6667, 454, 30696, 593, 835, 1788, 693, 513, 942, 267, 519, 1985, 1788, 786, 723, 621, 781, 1378, 12961, 454, 290, 7614, 514, 16381, 9462, 496, 350, 6930, 504, 478, 2710, 596, 2479, 1589, 827, 782, 519, 8286, 596, 723, 547, 11547, 538, 707, 10715, 286, 3143, 269, 1411, 1445, 1152, 593, 519, 8286, 538, 519, 16173, 563, 3963, 1810, 1405, 596, 4019, 713, 547, 5752, 849, 286, 5213, 1405, 1589, 827, 782, 519, 8631, 596, 723, 547, 1451, 563, 30696, 593, 1018, 781, 538, 4395, 540, 596, 267, 543, 1018, 596, 991, 1318, 1631, 269, 1691, 281, 1428, 6751, 910, 476, 1691, 4455, 476, 1708, 271, 454, 10673, 1406, 1589, 596, 1590, 581, 3501, 454, 3849, 7702, 715, 342, 29081, 32091, 17354, 2676, 301, 5847, 568, 2479, 476, 1911, 260, 3501, 269, 5213, 1406, 2322, 2604, 593, 3054, 563, 2252, 707, 5172, 8924, 543, 29026, 941, 3501, 267, 972, 9327, 1406, 581, 991, 585, 813, 10311, 543, 4528, 532, 9327, 1406, 581, 513, 3364, 1317, 621, 1131, 723, 1044, 3501, 689, 1554, 835, 563, 24927, 269, 6258, 269, 8943, 1586, 9462, 496, 499, 1724, 281, 1428, 6751, 910, 476, 1704, 4455, 476, 1708, 271, 454, 22142, 7340, 519, 454, 16605, 9350, 267, 782, 23501, 979, 998, 713, 256, 634, 17079, 568, 711, 519, 1439, 540, 707, 4876, 454, 21837, 918, 269, 9462, 492, 373, 763, 5933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 519, 14012, 818, 11037, 3897, 6996, 23014, 269, 3399, 4974, 3284, 31423, 1299, 735, 281, 562, 11936, 1408, 17761, 25079, 1299, 519, 25243, 4484, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 301, 11936, 1408, 17761, 25079, 3096, 519, 1614, 21934, 1245, 10207, 538, 519, 25243, 4484, 547, 7866, 547, 519, 3988, 1614, 5933, 538, 1142, 540, 519, 1292, 3197, 262, 2729, 267, 543, 646, 849, 3096, 873, 547, 4020, 519, 4098, 267, 519, 6172, 1314, 267, 543, 519, 1439, 540, 519, 1650, 269, 634, 21934, 1245, 568, 606, 1271, 4259, 538, 519, 3209, 519, 25243, 4484, 676, 562, 11936, 1408, 17761, 25079, 519, 21934, 1245, 10207, 616, 519, 1034, 10565, 543, 22509, 17495, 12976, 543, 948, 5031, 519, 1034, 1271, 2621, 540, 519, 3209, 269, 0, 763, 4760, 540, 1480, 3854, 568, 6131, 547, 1480, 3854, 543, 922, 9750, 2804, 543, 1514, 5107, 538, 519, 1702, 4346, 269, 5274, 2200, 814, 6410, 3564, 17849, 267, 2628, 2651, 543, 2640, 7245, 1934, 781, 1018, 3811, 1480, 3854, 2359, 5654, 899, 538, 519, 2413, 13781, 269, 5274, 3854, 6257, 519, 1702, 267, 1983, 543, 5759, 540, 519, 1004, 538, 606, 13539, 1451, 875, 1480, 3854, 6482, 543, 8989, 666, 563, 1103, 713, 2376, 267, 649, 2263, 267, 476, 272, 264, 519, 2956, 540, 1480, 3854, 267, 476, 273, 264, 32162, 607, 513, 2707, 540, 8013, 5413, 267, 476, 274, 264, 2679, 707, 2319, 267, 476, 275, 264, 13844, 1870, 2533, 267, 476, 276, 264, 1016, 4186, 24219, 267, 543, 476, 277, 264, 707, 1101, 630, 663, 7766, 264, 554, 2231, 269, 5274, 3854, 4640, 1107, 513, 1007, 5086, 593, 32162, 538, 2487, 1296, 267, 2810, 2338, 540, 2781, 657, 723, 1044, 20926, 607, 10223, 968, 1492, 2956, 540, 1480, 3854, 538, 519, 3919, 5608, 11589, 513, 7287, 547, 968, 16467, 543, 11677, 1480, 3854, 892, 610, 968, 1492, 991, 585, 2359, 540, 13007, 892, 693, 741, 2754, 269, 21864, 1480, 3854, 2359, 568, 513, 1004, 25700, 1935, 547, 32162, 602, 1770, 525, 1480, 4199, 3157, 547, 960, 607, 835, 875, 666, 621, 4324, 707, 1870, 563, 5472, 3906, 2154, 1480, 3854, 547, 1599, 543, 9585, 741, 3853, 538, 713, 3992, 267, 596, 3513, 1451, 1018, 1480, 3854, 568, 267, 922, 2956, 269, 12525, 532, 3854, 519, 2956, 540, 875, 1480, 3854, 568, 19017, 13275, 536, 4620, 9007, 632, 4895, 476, 1704, 267, 476, 1001, 276, 7493, 713, 1957, 15109, 519, 1764, 540, 875, 1480, 3854, 568, 19017, 593, 6099, 3854, 3454, 3609, 538, 269, 30365, 593, 1480, 3854, 621, 568, 1732, 547, 1902, 538, 606, 513, 1268, 609, 513, 536, 1587, 982, 538, 606, 513, 1587, 609, 513, 536, 1268, 910, 2520, 528, 2471, 546, 528, 3999, 267, 14679, 24041, 563, 3849, 3200, 1047, 906, 281, 1480, 3854, 281, 1523, 543, 4644, 540, 1480, 3854, 1480, 3854, 568, 519, 6006, 540, 21941, 267, 1702, 543, 7209, 10305, 22993, 538, 519, 2702, 547, 1685, 11668, 865, 607, 547, 3132, 2804, 1871, 269, 634, 1523, 1480, 3854, 2359, 685, 630, 327, 9492, 264, 568, 1759, 593, 519, 1523, 540, 1480, 3854, 607, 6045, 538, 519, 535, 328, 678, 560, 851, 540, 713, 3184, 519, 1985, 1614, 6810, 4766, 519, 3157, 540, 1480, 3854, 2359, 910, 6482, 267, 4835, 543, 269, 634, 32646, 520, 7541, 20576, 267, 1631, 513, 851, 540, 838, 615, 542, 779, 1480, 3854, 17874, 1895, 267, 814, 1044, 7893, 519, 1871, 540, 1480, 3854, 585, 476, 736, 1296, 1851, 519, 476, 7742, 1114, 14573, 1031, 676, 519, 20576, 616, 8907, 2188, 267, 20656, 267, 543, 5092, 538, 513, 2754, 779, 13781, 1210, 513, 1297, 540, 269, 5274, 3854, 1646, 281, 519, 2013, 540, 2069, 607, 513, 1480, 2200, 849, 2337, 547, 7520, 519, 1480, 3854, 5540, 519, 2497, 540, 269, 901, 2376, 11394, 547, 12172, 519, 1764, 540, 1480, 3854, 593, 519, 5647, 4390, 540, 3549, 585, 713, 3483, 649, 2308, 519, 3332, 2689, 543, 563, 9596, 827, 519, 2956, 540, 1480, 2200, 2359, 543, 875, 1317, 32162, 18953, 1169, 8257, 543, 1169, 9441, 267, 621, 4249, 513, 1713, 1909, 269, 6258, 1018, 1480, 3854, 543, 2804, 2208, 616, 267, 875, 1480, 3854, 568, 1644, 547, 2804, 2208, 543, 1294, 1806, 540, 519, 2078, 1063, 519, 1079, 269, 14502, 1867, 949, 476, 1001, 278, 1480, 3854, 3069, 281, 12570, 519, 2963, 585, 519, 1871, 543, 2956, 540, 1004, 547, 12438, 1049, 1967, 538, 11450, 609, 269, 8525, 476, 274, 540, 476, 1428, 609, 6544, 1516, 827, 519, 2956, 540, 1480, 3854, 267, 1082, 2477, 723, 6836, 547, 3927, 543, 7561, 2268, 741, 1480, 3854, 547, 1174, 741, 1699, 4567, 543, 27502, 8045, 563, 763, 2104, 540, 960, 814, 4957, 1813, 547, 513, 3126, 540, 2344, 21463, 602, 723, 19876, 1480, 3854, 3854, 2359, 543, 519, 2104, 540, 960, 2956, 540, 269, 634, 2956, 540, 5092, 538, 1480, 3854, 281, 939, 12027, 267, 11634, 738, 345, 543, 646, 1188, 2006, 476, 274, 2019, 19274, 267, 3390, 476, 275, 27362, 476, 1001, 277, 13781, 543, 519, 5354, 269, 769, 1010, 1533, 540, 519, 9769, 2232, 267, 7022, 1073, 4821, 9244, 24016, 18322, 547, 6494, 1864, 4396, 12948, 6963, 9086, 4166, 1034, 4966, 3858, 6963, 1058, 1331, 2362, 3854, 4170, 563, 14549, 3854, 1523, 5520, 616, 711, 1175, 519, 1942, 540, 3257, 1870, 789, 616, 606, 10697, 602, 12958, 1279, 3856, 1871, 585, 519, 3919, 269, 5274, 3854, 630, 528, 1004, 264, 2359, 568, 513, 1184, 540, 28068, 267, 10115, 538, 267, 543, 3384, 606, 3919, 781, 13781, 606, 3919, 1590, 1491, 269, 717, 1673, 2801, 2324, 1957, 1100, 476, 6734, 268, 5881, 281, 2947, 5686, 540, 3854, 281, 3730, 2035, 585, 4264, 1646, 476, 272, 2947, 5686, 540, 3854, 281, 3730, 2035, 585, 4264, 6185, 5877, 2956, 540, 1480, 3854, 319, 0, 7093, 9080, 823, 267, 7130, 543, 8305, 9189, 2470, 540, 519, 954, 31228, 2078, 602, 6818, 1063, 1022, 1079, 2516, 568, 7123, 1946, 14882, 568, 711, 269, 4828, 10168, 568, 513, 1978, 2186, 540, 14882, 267, 1557, 270, 3410, 1957, 281, 8322, 338, 1143, 1557, 267, 2165, 1957, 267, 1382, 1957, 281, 10168, 543, 7130, 269, 1548, 781, 519, 3017, 1063, 14882, 543, 10168, 2094, 930, 798, 711, 5431, 602, 519, 1079, 616, 3982, 543, 602, 10168, 1869, 1360, 1454, 6818, 269, 32641, 267, 14882, 267, 7130, 910, 10168, 1869, 6818, 1946, 519, 3109, 3349, 1869, 6818, 1557, 910, 538, 968, 1492, 968, 18872, 3349, 892, 568, 1869, 972, 892, 519, 2278, 13300, 1946, 267, 1310, 865, 1082, 1296, 972, 568, 513, 3349, 609, 1175, 1152, 3109, 3214, 563, 7093, 9080, 823, 814, 1044, 2016, 1454, 4473, 538, 519, 4207, 2486, 621, 568, 2186, 540, 2942, 7613, 1851, 1004, 540, 1114, 5198, 267, 2681, 610, 1212, 539, 32047, 267, 621, 666, 269, 3367, 713, 1557, 593, 1946, 10168, 6818, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 269, 29233, 543, 14882, 281, 606, 2079, 543, 8086, 540, 782, 519, 1114, 1826, 540, 22888, 602, 6818, 543, 786, 5965, 803, 585, 519, 835, 547, 2671, 606, 1557, 11783, 16179, 12600, 8305, 9189, 267, 14882, 543, 7130, 1557, 1957, 689, 14882, 543, 7130, 1557, 1957, 689, 476, 15782, 280, 829, 713, 1184, 6818, 538, 563, 2691, 1603, 606, 981, 2626, 610, 1557, 267, 2119, 547, 946, 519, 2093, 1657, 547, 3142, 3099, 547, 707, 5220, 1946, 798, 596, 1589, 14882, 6818, 538, 519, 1158, 269, 32641, 1100, 3476, 6818, 538, 31065, 1557, 649, 1810, 476, 4375, 339, 1294, 3352, 880, 15042, 267, 649, 1810, 476, 4375, 339, 21028, 621, 267, 649, 1100, 3476, 562, 26138, 1018, 952, 476, 4375, 2181, 9080, 823, 476, 4375, 3884, 476, 4375, 269, 2776, 9080, 823, 267, 7130, 267, 543, 8305, 19685, 676, 3997, 534, 512, 535, 529, 651, 4409, 17662, 6280, 1004, 616, 1419, 21678, 1996, 1866, 3544, 540, 741, 1378, 1514, 1895, 267, 6029, 14882, 630, 655, 10899, 9186, 1070, 11475, 630, 322, 4321, 9186, 1070, 543, 269, 4595, 1018, 4667, 899, 606, 552, 1181, 640, 3516, 267, 3173, 723, 1044, 3843, 547, 1174, 519, 4128, 1946, 14882, 568, 865, 11342, 1063, 1114, 2516, 540, 1004, 1869, 2221, 267, 782, 1472, 519, 1158, 267, 10168, 6818, 267, 3023, 1143, 6818, 972, 568, 17478, 1063, 5049, 267, 3909, 22166, 267, 543, 1256, 1175, 563, 11577, 19303, 1557, 14592, 14882, 543, 7130, 3142, 909, 519, 1448, 602, 972, 723, 2141, 1044, 543, 1869, 6818, 2665, 540, 269, 4208, 798, 1004, 723, 14882, 9307, 593, 3084, 26725, 602, 1010, 14882, 729, 8854, 519, 14882, 602, 6818, 2221, 543, 13653, 540, 519, 682, 325, 330, 4141, 20576, 269, 6496, 14882, 1869, 2291, 2221, 1557, 513, 266, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 1281, 14882, 1869, 2291, 2221, 543, 14882, 4976, 1946, 14882, 269, 476, 14882, 610, 7130, 476, 275, 1412, 516, 2091, 10168, 262, 14868, 602, 991, 547, 3247, 610, 6148, 621, 1281, 2291, 10168, 1996, 3043, 1004, 6818, 269, 4107, 22988, 1589, 540, 14882, 607, 1918, 13920, 4724, 1004, 538, 824, 2516, 855, 1079, 16895, 8044, 602, 17499, 9186, 2443, 1419, 538, 519, 1106, 540, 4758, 930, 1004, 2027, 2126, 2443, 568, 519, 1259, 14882, 7361, 1568, 538, 13314, 2221, 563, 24292, 14882, 543, 7130, 3136, 547, 1459, 1950, 2591, 538, 7819, 2486, 835, 540, 519, 1390, 7496, 547, 269, 1403, 835, 568, 711, 1978, 602, 29373, 6818, 267, 1557, 1957, 1948, 281, 476, 279, 4097, 279, 4792, 1724, 14882, 543, 2384, 532, 723, 1631, 1831, 513, 1360, 1543, 1190, 3390, 1369, 519, 269, 16723, 6436, 540, 14882, 543, 5626, 6436, 540, 14882, 646, 6811, 602, 972, 6818, 971, 513, 3364, 607, 513, 8766, 1895, 269, 1230, 845, 640, 1223, 849, 581, 1031, 607, 606, 7778, 540, 14882, 952, 596, 1205, 12758, 1603, 513, 6530, 1557, 2436, 610, 711, 14882, 568, 3254, 5673, 593, 519, 1514, 269, 1403, 713, 1557, 3884, 1405, 3833, 1018, 596, 2811, 3168, 585, 267, 1946, 711, 1931, 707, 1378, 2688, 15257, 1557, 267, 12031, 610, 4062, 540, 17440, 602, 4267, 707, 3169, 2243, 563, 2304, 6644, 1557, 6818, 547, 6961, 707, 1292, 1448, 713, 5037, 1058, 1331, 707, 5098, 3948, 7132, 1614, 4128, 1946, 596, 3494, 713, 3948, 547, 581, 3020, 269, 5131, 1557, 281, 10168, 543, 14882, 814, 1044, 1459, 538, 3592, 1169, 10340, 23998, 543, 14882, 1869, 6818, 811, 827, 1557, 593, 10168, 543, 14882, 269, 594, 723, 547, 2328, 606, 1557, 827, 519, 1657, 1888, 855, 1775, 798, 711, 917, 1141, 547, 1376, 2576, 948, 5225, 1946, 1281, 14882, 543, 7130, 2291, 269, 7348, 1449, 3341, 910, 630, 325, 1400, 981, 264, 1946, 10168, 1869, 6818, 1315, 10388, 1557, 689, 1266, 331, 476, 8099, 274, 693, 900, 28609, 2852, 1608, 17924, 928, 476, 272, 1101, 1032, 1603, 7548, 1762, 562, 4912, 476, 274, 267, 476, 1001, 275, 10168, 1281, 2291, 513, 2603, 814, 563, 26705, 585, 1603, 513, 2165, 1957, 1557, 593, 14882, 943, 323, 5098, 8804, 2688, 12031, 1603, 3391, 2433, 1946, 798, 596, 1589, 14882, 6818, 538, 519, 1158, 6185, 5877, 1946, 14882, 6818, 1557, 319, 0, 8802, 4958, 676, 737, 622, 14299, 514, 713, 1650, 729, 1101, 3370, 538, 476, 6245, 278, 950, 621, 7902, 538, 14299, 514, 781, 2110, 1650, 4015, 513, 3781, 538, 3537, 807, 544, 600, 345, 16279, 28050, 12340, 22234, 513, 1434, 2178, 4137, 267, 678, 28854, 1750, 4060, 267, 4552, 602, 729, 4657, 689, 6960, 547, 12457, 267, 543, 513, 5462, 3750, 269, 14430, 281, 875, 547, 2328, 513, 2110, 267, 2565, 3210, 1957, 891, 10467, 1058, 581, 1079, 22188, 547, 835, 2985, 267, 1826, 25740, 6547, 610, 2055, 827, 930, 1808, 3390, 799, 596, 1265, 8903, 538, 519, 13220, 269, 28064, 946, 568, 835, 540, 1200, 2442, 543, 8748, 2110, 2984, 538, 799, 1352, 9607, 519, 32252, 3512, 540, 19052, 543, 22988, 945, 941, 10010, 547, 5581, 741, 2123, 9163, 538, 2686, 2474, 563, 19350, 568, 606, 1557, 593, 513, 2123, 3210, 547, 513, 2110, 1650, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 4279, 19052, 7819, 2110, 1650, 10070, 519, 19052, 538, 803, 281, 2984, 676, 2110, 1650, 10070, 267, 609, 782, 519, 2984, 676, 519, 1482, 2278, 1775, 1589, 519, 1547, 1323, 7650, 540, 519, 19052, 268, 26410, 1995, 16646, 543, 5114, 547, 2981, 5711, 12583, 543, 6917, 3109, 12563, 8941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12216, 779, 22264, 563, 5445, 1336, 602, 1004, 609, 12216, 779, 1185, 2539, 2157, 540, 1079, 5946, 267, 1572, 26887, 1355, 1532, 9508, 543, 512, 879, 563, 17387, 14688, 267, 519, 3173, 849, 1336, 602, 891, 2242, 1223, 581, 9571, 909, 547, 476, 736, 1296, 1354, 2589, 540, 12216, 779, 2408, 563, 1607, 568, 1713, 1317, 621, 1797, 602, 513, 5868, 1223, 581, 1500, 693, 513, 942, 950, 5574, 616, 2693, 547, 581, 1034, 2500, 563, 25387, 267, 972, 568, 1100, 1259, 547, 17046, 569, 13209, 12216, 779, 2068, 2394, 1310, 2669, 269, 901, 568, 1317, 519, 1152, 1259, 547, 6166, 519, 4527, 540, 26887, 1355, 1532, 9508, 543, 512, 879, 568, 676, 6313, 2634, 5160, 563, 763, 1007, 1973, 1449, 1223, 1683, 513, 1454, 2877, 1259, 547, 13209, 12216, 779, 4505, 543, 948, 3173, 1020, 1732, 5574, 585, 519, 2068, 563, 1432, 3657, 519, 15783, 11588, 540, 606, 7216, 23369, 888, 763, 1761, 2640, 540, 606, 2038, 5868, 540, 12216, 779, 2068, 616, 1082, 269, 7216, 5868, 666, 1450, 585, 4505, 6304, 543, 2126, 267, 799, 949, 2087, 519, 8458, 540, 23646, 519, 11144, 540, 519, 2068, 269, 898, 666, 849, 948, 609, 4058, 585, 519, 2104, 543, 3246, 1489, 547, 6068, 3283, 269, 7216, 5868, 949, 849, 948, 609, 1382, 3646, 547, 1265, 513, 10826, 585, 12216, 779, 2068, 563, 21446, 2510, 547, 7216, 24544, 585, 12216, 779, 8376, 454, 2467, 568, 1100, 835, 17046, 1449, 585, 23235, 12216, 779, 2068, 269, 589, 5868, 540, 12216, 779, 2068, 949, 581, 1500, 1759, 593, 513, 2347, 2564, 543, 1920, 1686, 267, 513, 2168, 6514, 267, 543, 4255, 602, 2708, 2790, 1599, 269, 24930, 949, 946, 1585, 2010, 540, 11400, 543, 4255, 547, 4341, 856, 824, 2175, 602, 949, 2014, 2147, 2589, 563, 1103, 1840, 547, 2564, 543, 1920, 12583, 267, 7189, 786, 1419, 1685, 513, 2168, 981, 269, 901, 981, 2882, 10992, 1973, 2604, 267, 2295, 2557, 267, 16846, 525, 267, 543, 2837, 269, 634, 4387, 949, 849, 2638, 585, 4191, 540, 18024, 267, 22926, 267, 610, 3968, 563, 26045, 1599, 4152, 568, 1031, 547, 948, 13209, 12216, 779, 2068, 269, 1452, 4255, 666, 948, 2697, 2242, 538, 3965, 267, 1893, 1983, 267, 3206, 2702, 267, 543, 1471, 340, 334, 1606, 6312, 658, 1983, 269, 634, 1034, 4122, 1031, 2790, 1599, 1449, 568, 519, 22387, 5336, 1581, 3557, 22410, 630, 300, 5960, 292, 1040, 901, 1449, 568, 13950, 676, 513, 8036, 3318, 543, 3217, 827, 476, 1015, 3764, 547, 2347, 269, 898, 5161, 540, 2055, 827, 1699, 2621, 267, 10066, 547, 942, 543, 1747, 267, 11291, 540, 1913, 1310, 513, 8488, 267, 1739, 2241, 12981, 267, 18110, 2453, 267, 1603, 1913, 7157, 267, 543, 5373, 5546, 269, 589, 6060, 540, 476, 2190, 610, 1447, 593, 519, 631, 5960, 292, 6920, 1713, 5042, 15717, 5812, 609, 513, 5868, 540, 12110, 1813, 547, 12216, 779, 2068, 563, 8448, 2010, 540, 4255, 602, 949, 581, 1031, 547, 13209, 12216, 779, 2068, 1331, 5778, 574, 1645, 2090, 971, 607, 17223, 29821, 630, 6311, 264, 610, 6419, 16982, 9196, 630, 28122, 1070, 2978, 4255, 971, 607, 11178, 1599, 454, 288, 1973, 1449, 1223, 4166, 1683, 513, 17046, 5868, 547, 12216, 779, 2068, 269, 901, 1131, 581, 513, 1713, 6454, 936, 1699, 10368, 2409, 543, 1223, 20427, 2569, 519, 942, 621, 3217, 585, 2550, 547, 1205, 606, 4977, 5868, 540, 741, 2783, 269, 2755, 972, 616, 1869, 1082, 23665, 547, 7753, 267, 649, 666, 581, 29014, 602, 713, 14634, 786, 4166, 2709, 17170, 5813, 883, 835, 540, 938, 1034, 4922, 21787, 3676, 269, 0, 2791, 616, 2542, 519, 454, 263, 684, 560, 762, 264, 4528, 540, 713, 12319, 267, 799, 949, 3561, 2934, 711, 2139, 454, 528, 15095, 609, 2696, 582, 476, 274, 11859, 563, 10267, 9535, 519, 7123, 4528, 540, 519, 12319, 2483, 13480, 538, 3356, 454, 18661, 582, 12319, 568, 1373, 8242, 547, 2992, 519, 5767, 2242, 538, 4528, 454, 275, 269, 271, 269, 2368, 12319, 3817, 949, 454, 560, 650, 1533, 22573, 1344, 269, 901, 7333, 1676, 786, 2995, 596, 952, 596, 2811, 2542, 835, 540, 971, 3817, 563, 763, 9115, 540, 713, 2985, 616, 909, 547, 4266, 269, 1403, 596, 666, 1869, 1265, 22573, 1344, 267, 5225, 1930, 606, 3390, 563, 17572, 10092, 538, 2696, 582, 3785, 382, 370, 454, 1607, 2985, 6941, 875, 3758, 10092, 960, 3330, 2696, 582, 3785, 269, 1411, 786, 1451, 875, 454, 1729, 1569, 10092, 538, 707, 3785, 1210, 519, 454, 663, 1141, 2696, 582, 8637, 1788, 543, 9375, 6119, 593, 707, 543, 707, 3755, 262, 1949, 563, 2414, 1118, 5885, 2789, 5867, 4443, 267, 2696, 582, 3096, 6167, 21197, 16654, 2619, 454, 29323, 2209, 630, 3453, 1793, 1662, 454, 270, 1040, 1452, 960, 593, 782, 5867, 267, 1519, 454, 21156, 540, 1603, 10092, 899, 454, 290, 24097, 19061, 338, 315, 29228, 267, 538, 2696, 582, 267, 596, 1058, 2328, 454, 20360, 3298, 16654, 2619, 3021, 2209, 630, 3724, 1189, 1793, 1662, 454, 315, 264, 616, 849, 6462, 538, 930, 454, 12949, 5829, 2409, 267, 855, 789, 991, 547, 581, 23060, 27210, 315, 568, 7363, 454, 4310, 607, 606, 9101, 585, 3197, 609, 513, 2027, 2495, 563, 1607, 2306, 621, 2009, 547, 960, 609, 10092, 8120, 676, 824, 8837, 3156, 269, 1284, 1869, 4363, 1210, 1152, 4464, 1793, 10449, 538, 707, 1378, 3009, 547, 10018, 602, 3388, 786, 960, 607, 5497, 563, 16966, 532, 6119, 538, 519, 1788, 17835, 27210, 18661, 582, 15109, 602, 513, 1788, 6818, 538, 1022, 17835, 602, 3568, 513, 454, 2889, 915, 3052, 617, 582, 1257, 3758, 267, 1256, 952, 519, 3758, 568, 8900, 269, 634, 17835, 602, 3568, 454, 10472, 3758, 568, 707, 1788, 781, 3597, 17835, 563, 2791, 666, 1569, 1022, 3758, 3448, 547, 621, 676, 1603, 10092, 4358, 609, 454, 637, 2517, 267, 799, 6763, 585, 2200, 269, 1280, 1383, 267, 596, 666, 1569, 606, 3239, 454, 30726, 26666, 4092, 538, 519, 1788, 781, 3597, 17835, 538, 3009, 609, 519, 454, 16966, 532, 10770, 3593, 1239, 27210, 2414, 4558, 10770, 1239, 6119, 267, 899, 519, 6345, 781, 4688, 610, 5468, 267, 596, 1616, 547, 454, 12528, 2517, 3079, 540, 454, 637, 2517, 607, 707, 2619, 781, 18772, 269, 901, 568, 1317, 454, 15290, 519, 3014, 568, 4881, 267, 519, 1788, 781, 3758, 1062, 786, 2693, 581, 1224, 26209, 563, 12528, 2517, 18772, 2798, 547, 513, 1114, 15682, 593, 519, 3593, 781, 3926, 563, 637, 2517, 267, 519, 15682, 11329, 693, 676, 454, 12528, 2517, 568, 2813, 454, 2246, 558, 5597, 543, 16798, 547, 581, 1060, 762, 547, 267, 1256, 538, 606, 29633, 1788, 563, 763, 4087, 540, 519, 454, 12528, 2517, 17835, 5673, 593, 1018, 568, 27358, 538, 519, 454, 3528, 9949, 267, 519, 454, 12528, 2517, 19507, 518, 568, 2813, 1369, 2696, 582, 781, 9375, 1239, 2619, 538, 519, 454, 1952, 318, 12528, 11907, 270, 314, 2889, 915, 12173, 316, 19507, 518, 269, 901, 568, 519, 9949, 865, 602, 30384, 543, 1449, 3785, 3251, 1582, 8410, 22633, 1369, 2696, 582, 781, 1239, 17835, 563, 2252, 3498, 270, 935, 14808, 270, 2224, 6831, 2396, 318, 12528, 5091, 597, 568, 13087, 538, 519, 5741, 23994, 267, 519, 454, 12528, 2517, 19507, 518, 568, 2813, 1985, 547, 2696, 582, 781, 9375, 1239, 2619, 267, 1775, 4318, 269, 538, 519, 3044, 4087, 585, 3156, 1239, 563, 3528, 9949, 267, 519, 17835, 2012, 786, 581, 18505, 1042, 689, 519, 1788, 2012, 267, 855, 621, 666, 581, 2417, 16419, 609, 3498, 270, 935, 14808, 11305, 2396, 318, 12528, 5091, 597, 12173, 269, 901, 2619, 666, 2270, 2619, 3021, 2209, 267, 865, 596, 666, 946, 621, 552, 3052, 269, 547, 1895, 3785, 540, 513, 2016, 18638, 609, 513, 454, 6597, 1470, 8745, 27798, 877, 21601, 652, 4450, 563, 4002, 18376, 5867, 267, 519, 4890, 15682, 10092, 585, 454, 20578, 546, 597, 543, 2012, 454, 314, 2889, 915, 12173, 316, 568, 1759, 593, 519, 3498, 2012, 3989, 538, 519, 5741, 23994, 267, 855, 454, 9767, 666, 936, 20183, 621, 593, 513, 829, 13807, 520, 845, 4493, 1210, 4183, 16776, 563, 4002, 5985, 5867, 267, 713, 2619, 568, 2189, 547, 519, 1788, 543, 568, 711, 3015, 676, 824, 3156, 585, 3354, 4128, 563, 4002, 14103, 276, 18666, 2676, 12528, 2517, 786, 3277, 547, 513, 5691, 6119, 2448, 6740, 593, 519, 454, 22563, 823, 3842, 12039, 539, 24174, 269, 630, 11328, 9146, 609, 519, 1292, 6119, 2448, 666, 1869, 581, 5340, 454, 3519, 31844, 10092, 547, 6207, 10092, 610, 834, 29985, 257, 10092, 382, 370, 454, 2791, 666, 946, 5741, 306, 9116, 902, 3052, 331, 2128, 1125, 24786, 4590, 1729, 6460, 513, 834, 29985, 257, 2619, 899, 454, 637, 2517, 12949, 270, 1729, 11721, 850, 17902, 547, 606, 6207, 13013, 2619, 563, 2690, 1383, 267, 5741, 306, 9116, 902, 3052, 331, 2128, 1125, 24786, 4590, 4754, 581, 1031, 547, 1930, 834, 29985, 257, 10092, 538, 519, 13013, 3758, 9614, 454, 6748, 13013, 4732, 17850, 318, 13449, 3890, 2094, 621, 1152, 24693, 454, 333, 894, 13013, 10092, 563, 2414, 6460, 606, 6207, 13013, 2619, 547, 513, 834, 29985, 257, 2619, 4358, 609, 454, 12528, 2517, 267, 946, 5741, 306, 9116, 902, 7456, 5914, 1125, 24786, 263, 1916, 1607, 1152, 1568, 585, 6207, 10092, 602, 1448, 547, 6119, 610, 32766, 538, 707, 454, 2889, 915, 781, 3597, 610, 454, 29394, 1239, 10092, 382, 370, 454, 763, 9375, 3096, 1114, 10092, 585, 9375, 1239, 267, 9375, 5468, 267, 543, 21461, 267, 4470, 593, 519, 3760, 269, 1635, 9949, 267, 891, 10092, 616, 912, 29394, 1239, 3568, 13143, 17074, 543, 1788, 10391, 1239, 563, 29394, 5468, 3568, 519, 1292, 9375, 5468, 12122, 3758, 607, 1134, 607, 1585, 824, 3593, 10391, 2688, 3074, 630, 539, 3218, 29282, 267, 4183, 12632, 267, 7097, 17074, 267, 3092, 28593, 290, 5995, 3568, 1239, 6383, 676, 519, 9375, 267, 610, 6740, 17303, 269, 898, 666, 9108, 581, 6569, 950, 2696, 582, 568, 6806, 563, 18661, 582, 5360, 625, 609, 519, 2473, 291, 294, 12476, 30615, 10410, 2305, 593, 782, 5867, 269, 1411, 666, 936, 20183, 1604, 4632, 1739, 519, 20487, 547, 1689, 519, 9375, 543, 1788, 1239, 10092, 563, 2252, 596, 946, 2696, 582, 26437, 607, 513, 25065, 335, 752, 267, 519, 454, 539, 3218, 1239, 10092, 786, 581, 4092, 538, 1016, 19507, 619, 538, 454, 2252, 596, 1711, 513, 3758, 1572, 454, 318, 2675, 318, 538, 519, 1482, 15682, 607, 519, 454, 539, 3218, 9352, 630, 528, 538, 5839, 5308, 270, 6944, 757, 270, 585, 513, 5672, 5308, 9375, 1547, 1952, 22753, 1070, 2696, 582, 454, 15884, 5512, 1582, 8410, 22633, 7154, 563, 1607, 7154, 2306, 2696, 582, 2328, 782, 9375, 1239, 267, 5468, 267, 543, 21461, 547, 513, 15682, 454, 539, 3218, 12774, 270, 538, 519, 1482, 15682, 607, 519, 9375, 9352, 563, 2791, 666, 946, 621, 547, 1711, 513, 15409, 10380, 540, 519, 9375, 563, 763, 29673, 5305, 540, 2696, 582, 3096, 1582, 8410, 22633, 7154, 676, 9949, 563, 20236, 8410, 22633, 7154, 568, 711, 6462, 538, 29633, 3785, 2943, 269, 1677, 1224, 543, 2328, 6119, 3448, 547, 519, 4291, 17014, 2619, 267, 946, 13013, 10947, 318, 1410, 1815, 17014, 24786, 14061, 8074, 602, 1603, 6119, 538, 519, 4291, 17014, 2619, 1152, 1568, 952, 519, 4291, 17014, 568, 5116, 538, 513, 1060, 762, 4087, 630, 328, 4318, 269, 711, 5358, 28567, 610, 1776, 15682, 602, 568, 1224, 26209, 585, 2834, 3755, 1040, 0, 22428, 602, 596, 6430, 547, 1902, 707, 2724, 538, 519, 6006, 2344, 269, 1411, 917, 18374, 4986, 827, 10115, 267, 865, 596, 3442, 513, 1906, 13632, 1759, 593, 1018, 707, 8937, 3081, 269, 1306, 621, 7140, 856, 267, 596, 5595, 707, 5092, 538, 519, 4947, 4374, 269, 6496, 713, 1611, 602, 10115, 1759, 593, 707, 8937, 15859, 729, 513, 1434, 3375, 888, 7775, 952, 596, 16212, 513, 11777, 547, 3442, 1063, 1079, 3681, 267, 543, 596, 1439, 909, 609, 519, 1732, 4781, 513, 1906, 2053, 538, 513, 4737, 267, 1281, 621, 1246, 602, 596, 1058, 16212, 513, 11777, 8164, 6849, 513, 3903, 888, 4322, 616, 1806, 540, 3871, 1141, 938, 3375, 6194, 949, 581, 6766, 676, 1945, 1572, 6364, 9186, 2443, 606, 17916, 12402, 547, 6218, 3664, 9003, 1759, 593, 519, 4093, 563, 1607, 1198, 7506, 3375, 24237, 689, 1053, 547, 1870, 26933, 547, 11176, 19393, 267, 1419, 4929, 873, 547, 10956, 4057, 3375, 6194, 3157, 269, 1306, 971, 267, 621, 779, 1271, 547, 1174, 519, 6364, 9186, 543, 875, 621, 5540, 721, 282, 621, 666, 948, 596, 1118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4197, 519, 2387, 557, 324, 319, 9577, 692, 763, 2387, 557, 324, 319, 1599, 568, 513, 5124, 1599, 602, 3217, 513, 476, 273, 291, 17877, 5044, 267, 2387, 1087, 12452, 607, 3403, 543, 7024, 513, 6152, 267, 2387, 11355, 18269, 901, 1599, 568, 2966, 547, 960, 609, 1808, 7306, 540, 519, 3403, 5044, 543, 814, 1114, 26398, 585, 1142, 2450, 780, 2162, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 649, 991, 547, 1104, 519, 17877, 5399, 267, 799, 568, 513, 3532, 5399, 585, 10230, 26398, 538, 5124, 269, 1284, 2356, 1104, 621, 609, 519, 620, 5362, 2387, 12639, 319, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 7884, 2162, 9577, 9502, 692, 763, 2387, 557, 324, 319, 1599, 568, 3989, 607, 5205, 1384, 3499, 7090, 454, 3698, 1654, 324, 263, 1087, 2187, 825, 1948, 9577, 1560, 454, 7884, 2162, 17270, 519, 12025, 692, 763, 1101, 1900, 538, 519, 1599, 568, 547, 12337, 519, 2450, 540, 519, 3403, 5044, 267, 799, 568, 519, 2698, 1297, 540, 2609, 538, 519, 5044, 269, 901, 568, 2944, 676, 14921, 519, 1297, 540, 9343, 630, 319, 1087, 17482, 314, 271, 316, 319, 264, 676, 519, 1297, 540, 9587, 630, 319, 1087, 17482, 314, 272, 316, 319, 17107, 3499, 7090, 454, 21653, 815, 521, 338, 17482, 314, 271, 30297, 1087, 17482, 314, 272, 2639, 7884, 2162, 681, 15929, 519, 18452, 26275, 692, 9202, 267, 519, 1599, 21448, 519, 2609, 540, 519, 3403, 5044, 547, 476, 1015, 8918, 4025, 269, 901, 568, 2944, 1210, 519, 2387, 12639, 269, 19925, 319, 1599, 1384, 3499, 7090, 454, 1087, 318, 1037, 815, 5286, 269, 19925, 263, 1087, 267, 17447, 284, 1015, 994, 7884, 2162, 16448, 531, 32276, 692, 763, 1599, 1287, 3096, 19585, 6898, 547, 6023, 1114, 7306, 540, 519, 3403, 5044, 780, 2971, 1280, 12025, 476, 275, 692, 2252, 519, 2450, 540, 519, 3403, 5044, 568, 476, 275, 267, 519, 1599, 11974, 952, 519, 3693, 693, 519, 1101, 4737, 543, 2034, 6241, 630, 319, 1087, 318, 1037, 314, 271, 267, 272, 316, 319, 264, 568, 3160, 547, 519, 3693, 693, 519, 2034, 4737, 543, 1101, 6241, 630, 319, 1087, 318, 1037, 314, 272, 267, 271, 316, 319, 1040, 1403, 713, 2783, 568, 3020, 267, 519, 1599, 5036, 2387, 11355, 319, 547, 519, 3693, 693, 519, 1101, 4737, 543, 2034, 6241, 540, 519, 3312, 5044, 630, 319, 1087, 314, 271, 267, 272, 316, 319, 17107, 3499, 7090, 454, 604, 2450, 2652, 476, 275, 912, 825, 952, 630, 1087, 318, 1037, 314, 271, 267, 272, 316, 2525, 1087, 318, 1037, 314, 272, 267, 271, 316, 2187, 1038, 1654, 322, 815, 521, 338, 314, 271, 267, 272, 2639, 7884, 2971, 1280, 12025, 476, 280, 692, 2252, 519, 2450, 540, 519, 3403, 5044, 568, 476, 280, 267, 519, 1599, 11974, 952, 519, 1739, 2175, 616, 3020, 1384, 272, 269, 634, 3693, 693, 519, 3791, 4737, 543, 2034, 6241, 630, 319, 1087, 318, 1037, 314, 273, 267, 272, 316, 319, 264, 568, 3160, 547, 519, 2942, 540, 519, 3693, 693, 519, 2034, 4737, 543, 3791, 6241, 630, 319, 1087, 318, 1037, 314, 272, 267, 273, 316, 319, 1916, 273, 269, 634, 3693, 693, 519, 1101, 4737, 543, 3791, 6241, 630, 319, 1087, 318, 1037, 314, 271, 267, 273, 316, 319, 264, 568, 3160, 547, 519, 2942, 540, 519, 3693, 693, 519, 3791, 4737, 543, 1101, 6241, 630, 319, 1087, 318, 1037, 314, 273, 267, 271, 316, 319, 1916, 274, 269, 634, 3693, 693, 519, 2034, 4737, 543, 1101, 6241, 630, 319, 1087, 318, 1037, 314, 272, 267, 271, 316, 319, 264, 568, 3160, 547, 519, 2942, 540, 519, 3693, 693, 519, 1101, 4737, 543, 2034, 6241, 630, 319, 1087, 318, 1037, 314, 271, 267, 272, 316, 319, 6393, 2252, 891, 2175, 616, 3020, 267, 519, 1599, 5036, 2387, 11355, 319, 547, 513, 17877, 5044, 5627, 519, 2609, 693, 519, 3791, 4737, 543, 2034, 6241, 267, 519, 1101, 4737, 543, 3791, 6241, 267, 543, 519, 2034, 4737, 543, 1101, 6241, 540, 519, 3312, 5044, 1384, 3499, 7090, 454, 19197, 2450, 2652, 476, 280, 912, 825, 952, 630, 1087, 318, 1037, 314, 273, 267, 272, 316, 2525, 268, 1087, 318, 1037, 314, 272, 267, 273, 316, 543, 521, 338, 318, 1037, 314, 271, 267, 273, 316, 2525, 268, 1087, 318, 1037, 314, 273, 267, 271, 316, 543, 521, 338, 318, 1037, 314, 272, 267, 271, 316, 2525, 268, 1087, 318, 1037, 314, 271, 267, 272, 316, 2187, 1038, 1654, 322, 815, 5286, 15126, 31912, 1087, 314, 273, 267, 272, 316, 25662, 1087, 314, 271, 267, 273, 316, 25662, 1087, 314, 272, 267, 271, 14963, 7481, 7884, 2162, 4825, 9506, 519, 21070, 692, 7661, 267, 519, 1599, 7024, 519, 17223, 6152, 267, 2387, 11355, 319, 1384, 3499, 7090, 454, 8873, 1654, 322, 454, 7884, 2162, 4197, 519, 9577, 781, 20828, 692, 763, 2387, 557, 324, 319, 1599, 568, 513, 1808, 1599, 2966, 547, 6023, 476, 273, 291, 14249, 540, 1978, 7306, 543, 1349, 513, 6152, 1759, 593, 1978, 2175, 269, 634, 2175, 543, 519, 1259, 519, 6152, 568, 13939, 616, 1808, 547, 519, 1966, 519, 1599, 568, 3843, 547, 4194, 780, 1103, 513, 6626, 2796, 267, 713, 1599, 9727, 875, 547, 946, 19585, 6898, 547, 6023, 1114, 2665, 267, 875, 547, 1685, 3693, 30150, 4238, 593, 14249, 267, 543, 875, 547, 1349, 543, 13861, 2609, 689, 14249, 269, 1452, 616, 4909, 1983, 538, 10230, 7384, 543, 1239, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 692, 3698, 1654, 324, 263, 1087, 2187, 825, 2450, 815, 521, 338, 17482, 314, 271, 30297, 1087, 17482, 314, 272, 2639, 825, 521, 338, 318, 1037, 815, 5286, 269, 19925, 263, 1087, 267, 17447, 284, 1015, 994, 825, 952, 2450, 2652, 476, 275, 912, 1038, 952, 630, 1087, 318, 1037, 314, 271, 267, 272, 316, 2525, 1087, 318, 1037, 314, 272, 267, 271, 316, 2187, 2018, 1654, 322, 815, 521, 338, 314, 271, 267, 272, 2639, 825, 8640, 2450, 2652, 476, 280, 912, 1038, 952, 630, 1087, 318, 1037, 314, 273, 267, 272, 316, 2525, 268, 1087, 318, 1037, 314, 272, 267, 273, 316, 543, 521, 338, 318, 1037, 314, 271, 267, 273, 316, 2525, 268, 1087, 318, 1037, 314, 273, 267, 271, 316, 543, 521, 338, 318, 1037, 314, 272, 267, 271, 316, 2525, 268, 1087, 318, 1037, 314, 271, 267, 272, 316, 2187, 2018, 1654, 322, 815, 5286, 15126, 31912, 1087, 314, 273, 267, 272, 316, 25662, 1087, 314, 271, 267, 273, 316, 25662, 1087, 314, 272, 267, 271, 14963, 7481, 825, 2132, 1654, 322, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6176, 10263, 281, 589, 12213, 667, 633, 883, 19484, 519, 10046, 540, 4578, 543, 11310, 538, 5678, 8551, 543, 2598, 4184, 1149, 692, 1103, 2221, 781, 3059, 2085, 267, 1344, 2623, 814, 1831, 5051, 1271, 607, 2043, 6330, 998, 5318, 5666, 540, 1239, 543, 1702, 3232, 269, 901, 1523, 4016, 547, 875, 1004, 2170, 609, 1344, 2959, 267, 1949, 267, 543, 9055, 1282, 741, 1391, 547, 14183, 741, 2115, 630, 293, 340, 1696, 620, 1421, 476, 1001, 277, 1040, 4197, 1344, 2623, 2636, 721, 547, 1118, 5483, 3664, 827, 938, 2123, 2729, 267, 28737, 267, 543, 4081, 18697, 269, 901, 3184, 12538, 4514, 883, 1585, 3344, 540, 1344, 2623, 267, 3226, 1369, 519, 2796, 540, 1893, 6575, 543, 5399, 1299, 1344, 2257, 269, 1284, 786, 2263, 922, 4644, 267, 2591, 267, 2994, 267, 6436, 267, 543, 3156, 1210, 2502, 6386, 543, 4207, 1806, 780, 14294, 881, 766, 540, 6176, 10263, 692, 22546, 1947, 5883, 1344, 2623, 6087, 3755, 547, 12398, 4143, 2200, 7561, 267, 4227, 942, 6170, 10478, 543, 2810, 2949, 7607, 269, 1635, 14237, 1434, 1344, 6208, 267, 6267, 666, 7413, 25749, 4598, 543, 3986, 2565, 3206, 1983, 269, 5015, 267, 1373, 3222, 540, 1114, 1344, 5615, 2337, 7172, 12579, 543, 7855, 1374, 1732, 2533, 543, 6044, 2409, 3358, 547, 3309, 3593, 2516, 630, 19111, 1299, 9717, 267, 476, 1001, 277, 6393, 29936, 538, 6176, 10263, 692, 32382, 1344, 5054, 13514, 1896, 2591, 267, 1519, 6882, 18616, 267, 16079, 20830, 267, 543, 16995, 3377, 269, 31207, 18616, 2049, 950, 6620, 1459, 3755, 609, 26940, 1543, 1759, 593, 2250, 7375, 267, 5732, 12145, 4598, 547, 4244, 16752, 269, 661, 11155, 20830, 24244, 713, 1198, 676, 17923, 4540, 4978, 1813, 547, 24267, 1514, 5121, 269, 674, 820, 3377, 7139, 11717, 919, 9624, 891, 2175, 267, 2417, 635, 2364, 908, 6927, 269, 1452, 2152, 20838, 519, 2956, 540, 3384, 2923, 7924, 543, 2976, 894, 1983, 2556, 585, 1167, 518, 940, 23674, 1344, 2959, 780, 25618, 625, 585, 25947, 6176, 10263, 692, 2414, 2087, 1344, 2623, 267, 2015, 12561, 519, 1739, 2994, 1384, 272, 269, 3763, 3406, 14511, 602, 616, 2312, 267, 1808, 267, 543, 13801, 269, 4635, 29491, 12427, 899, 6730, 267, 10758, 267, 10691, 666, 948, 13217, 2164, 563, 273, 269, 21414, 2959, 9691, 676, 6236, 2188, 971, 607, 2278, 6791, 267, 8313, 4266, 267, 9263, 2689, 4567, 267, 543, 1761, 12886, 563, 274, 269, 18918, 538, 1558, 659, 10744, 910, 10452, 593, 835, 781, 1378, 3206, 3157, 1247, 5275, 1344, 910, 547, 2697, 9342, 543, 12755, 538, 1382, 2553, 563, 275, 269, 14146, 14694, 2542, 267, 799, 3322, 10992, 2789, 2959, 21276, 569, 547, 2708, 10727, 3533, 563, 276, 269, 22676, 720, 2228, 2645, 543, 5867, 2966, 547, 3895, 11413, 543, 12477, 267, 971, 607, 29138, 585, 10319, 14391, 566, 610, 5240, 10817, 731, 585, 4760, 2065, 8699, 16863, 780, 763, 1559, 540, 6176, 10263, 692, 26452, 3631, 2491, 1344, 2623, 3270, 269, 7324, 873, 616, 14355, 781, 7844, 540, 6176, 16418, 532, 543, 918, 7795, 2741, 781, 6176, 9612, 6713, 630, 3041, 303, 264, 2203, 269, 14355, 781, 2203, 14439, 5933, 3755, 10929, 950, 5275, 1344, 267, 12077, 22612, 267, 5542, 267, 3408, 267, 19862, 267, 4015, 267, 6881, 267, 543, 6268, 269, 11531, 267, 4959, 303, 6212, 593, 1966, 9010, 4247, 267, 12270, 519, 1184, 883, 2947, 3268, 281, 10066, 267, 7041, 267, 4015, 267, 4393, 267, 543, 6881, 269, 5637, 10850, 1683, 3407, 4030, 883, 1480, 2987, 4146, 4205, 267, 4543, 9439, 28433, 6098, 7459, 780, 21104, 725, 540, 6176, 10263, 692, 8139, 1344, 2623, 814, 4052, 6286, 2066, 10459, 269, 1280, 3236, 267, 3173, 4019, 621, 547, 1353, 1072, 2792, 13103, 1851, 12102, 5095, 267, 1217, 3609, 3664, 3823, 7214, 5191, 267, 543, 5659, 5467, 6114, 547, 5339, 1568, 269, 3958, 267, 7855, 946, 713, 1702, 547, 4001, 1053, 2500, 1382, 2994, 267, 5807, 15400, 1565, 6208, 780, 6962, 692, 2026, 7152, 2429, 713, 3184, 267, 13215, 1344, 2623, 16877, 2043, 547, 29906, 1950, 1344, 8916, 18390, 269, 20331, 609, 7811, 13210, 267, 7580, 4485, 267, 543, 2565, 6268, 1983, 267, 6267, 3565, 9797, 547, 2486, 676, 5009, 4977, 1344, 23425, 543, 8396, 1154, 25749, 269, 1306, 971, 267, 10128, 1344, 2623, 3741, 1369, 1893, 6575, 2069, 3587, 2629, 585, 14637, 1134, 25454, 4961, 5827, 540, 1818, 5483, 5079, 538, 606, 2479, 21608, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19913, 17745, 345, 814, 2390, 5036, 5833, 609, 6739, 540, 519, 1034, 1082, 6959, 543, 1160, 1636, 687, 540, 519, 1007, 774, 1177, 267, 543, 2882, 713, 1514, 19257, 329, 600, 281, 661, 710, 15594, 27688, 12100, 528, 27528, 700, 2131, 339, 6686, 516, 3541, 19257, 329, 600, 3667, 324, 609, 2564, 3105, 552, 710, 543, 4351, 20167, 626 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 729, 513, 9395, 10275, 27848, 6014, 2146, 1634, 607, 519, 834, 294, 31678, 540, 22560, 1701, 2311, 519, 2295, 540, 713, 2146, 729, 15887, 6798, 17018, 515, 267, 513, 8797, 543, 17519, 6205, 945, 729, 7184, 15197, 676, 782, 269, 1261, 729, 19443, 676, 1010, 15931, 8250, 267, 8861, 267, 945, 1185, 5063, 21783, 689, 2852, 609, 513, 4110, 538, 4317, 4518, 780, 3080, 1554, 267, 513, 1762, 7008, 3957, 6424, 543, 19257, 3554, 14059, 15887, 6798, 17018, 515, 609, 606, 3390, 269, 1358, 941, 24584, 741, 1101, 1126, 267, 543, 1813, 547, 2883, 10148, 267, 789, 7948, 1405, 6488, 519, 2556, 3688, 585, 519, 14232, 1490, 529, 16008, 269, 15887, 6798, 17018, 515, 19557, 18906, 1947, 543, 21407, 873, 602, 646, 1131, 1265, 513, 3070, 780, 305, 629, 6798, 17018, 515, 5828, 547, 8861, 585, 948, 269, 8861, 5612, 2219, 540, 8757, 856, 547, 519, 5763, 1512, 3885, 538, 519, 2146, 945, 1223, 13384, 528, 519, 2680, 269, 1717, 267, 1352, 6785, 602, 930, 540, 873, 1522, 581, 11688, 26938, 547, 3565, 1813, 547, 2250, 22195, 610, 21390, 269, 10318, 1441, 547, 3142, 3025, 1927, 267, 8861, 4956, 547, 10891, 513, 5870, 1141, 519, 7008, 1223, 2671, 741, 1650, 543, 9029, 2047, 547, 519, 1761, 22881, 780, 4263, 519, 11018, 267, 6424, 543, 19257, 3554, 3838, 741, 9620, 543, 13922, 585, 741, 1007, 1920, 269, 29110, 3481, 676, 741, 5609, 1356, 640, 267, 1082, 2146, 2818, 22283, 4464, 547, 2709, 6351, 269, 2290, 1920, 1256, 8067, 1229, 547, 3984, 519, 1490, 529, 693, 741, 838, 20160, 1753, 269, 769, 519, 1439, 267, 519, 11812, 729, 513, 5458, 1967, 267, 8744, 7772, 543, 9322, 547, 519, 12567, 540, 22560, 780, 19602, 267, 1776, 4759, 540, 519, 2146, 267, 31929, 267, 1336, 9887, 693, 12918, 609, 1200, 7023, 267, 12253, 269, 4256, 21535, 3323, 950, 12253, 781, 2915, 25653, 909, 31929, 781, 17028, 7458, 9782, 4677, 269, 6736, 1896, 8942, 547, 8207, 519, 4655, 993, 545, 2406, 267, 13253, 4797, 547, 15583, 622, 1063, 519, 1079, 12543, 780, 3725, 28136, 8179, 15887, 6798, 17018, 515, 781, 8480, 269, 5502, 540, 2921, 5011, 267, 15887, 6798, 17018, 515, 9415, 1312, 6105, 547, 6432, 547, 1142, 824, 781, 5380, 543, 1265, 513, 14207, 269, 4039, 10631, 14688, 267, 12253, 543, 31929, 8815, 547, 2743, 543, 1865, 741, 3604, 269, 1677, 741, 9983, 267, 789, 4362, 602, 789, 3838, 2147, 2418, 543, 4145, 827, 741, 8378, 269, 1635, 2324, 1927, 267, 789, 3357, 909, 609, 513, 1544, 602, 28322, 1312, 10820, 1247, 4180, 519, 3106, 543, 8171, 540, 12253, 781, 2915, 780, 7437, 891, 2833, 267, 519, 12567, 540, 22560, 4121, 3407, 4245, 827, 6568, 267, 5683, 2623, 267, 543, 2500, 2792, 269, 7201, 15887, 6798, 17018, 515, 543, 8861, 781, 5718, 267, 519, 2146, 4278, 1882, 267, 14304, 922, 7554, 543, 11173, 547, 1118, 513, 3017, 538, 1004, 781, 2729, 780, 291, 658, 4084, 7151, 1384, 27880, 630, 1729, 519, 14547, 1920, 2567, 834, 14188, 596, 865, 1454, 585, 6236, 938, 7662, 269, 2659, 9295, 786, 1611, 519, 1158, 547, 6424, 543, 19257, 3554, 607, 789, 5965, 585, 519, 12625, 540, 741, 4816, 7911, 3010, 2171, 953, 344, 7731, 16588, 281, 834, 8170, 1576, 267, 8861, 256, 1284, 3494, 1169, 1126, 19262, 513, 1697, 10950, 883, 519, 1158, 269, 898, 781, 1271, 547, 1489, 1142, 824, 1282, 8090, 899, 891, 1701, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 568, 519, 1909, 540, 519, 15887, 6798, 538, 707, 2199, 6014, 2146, 888, 296, 798, 711, 723, 513, 2199, 9925, 880, 2146, 267, 855, 3622, 6340, 267, 519, 14558, 328, 4249, 513, 3844, 1909, 538, 519, 9925, 880, 2146, 269, 789, 616, 3743, 585, 3056, 10847, 2533, 267, 12419, 28005, 976, 267, 3246, 2069, 593, 9925, 880, 27403, 543, 2245, 267, 543, 5356, 5583, 543, 1489, 547, 2146, 2818, 538, 2053, 540, 2123, 610, 18497, 991, 269, 14558, 529, 849, 3335, 1095, 728, 936, 29488, 2621, 971, 607, 12311, 26204, 267, 3046, 11486, 520, 5378, 345, 341, 1695, 338, 267, 543, 1187, 5644, 269, 10123, 267, 519, 14558, 328, 949, 4196, 607, 513, 18657, 1807, 610, 11737, 15249, 538, 13882, 1369, 519, 2146, 267, 543, 949, 960, 609, 824, 2146, 3401, 547, 3895, 1514, 5126, 543, 12167, 585, 519, 2924, 540, 9925, 338, 543, 824, 12790, 2516, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 7689, 281, 1280, 15130, 11524, 543, 2913, 1154, 3619, 281, 589, 11202, 547, 13458, 543, 19732, 1465, 692, 5970, 596, 2479, 1185, 606, 4661, 609, 513, 3659, 602, 2451, 596, 4743, 13347, 286, 2107, 6148, 2576, 693, 1153, 1767, 1945, 1611, 827, 596, 602, 1500, 596, 1745, 8909, 610, 14220, 269, 898, 781, 3339, 547, 1995, 2942, 4606, 950, 649, 723, 7526, 609, 1866, 269, 1717, 267, 621, 781, 1271, 547, 1451, 875, 547, 31799, 1346, 945, 10413, 721, 543, 1577, 979, 540, 938, 10845, 865, 602, 649, 666, 1847, 4464, 543, 1265, 4708, 543, 8788, 1586, 780, 1432, 1281, 621, 1611, 547, 31799, 2576, 286, 1677, 31799, 1797, 547, 3247, 4743, 14220, 610, 26416, 995, 2509, 2576, 945, 814, 4636, 539, 596, 269, 1879, 649, 3180, 5196, 1989, 644, 2471, 543, 20549, 547, 31799, 267, 621, 666, 9260, 8185, 593, 938, 8186, 543, 12271, 267, 1818, 621, 2352, 585, 721, 547, 1589, 9797, 543, 2972, 1272, 269, 1635, 7446, 547, 31799, 267, 649, 1863, 6000, 689, 891, 2942, 4664, 543, 1450, 6000, 547, 12115, 780, 3719, 8483, 1516, 3085, 1405, 8209, 1611, 30534, 1018, 5949, 610, 7873, 11238, 519, 824, 1268, 781, 2623, 269, 5502, 267, 621, 3322, 14344, 519, 1928, 3361, 676, 741, 3527, 1247, 849, 9301, 602, 3025, 2306, 9073, 269, 1284, 782, 17330, 8296, 543, 1620, 267, 1519, 519, 1004, 945, 723, 10413, 721, 780, 3383, 875, 666, 649, 2259, 19807, 543, 15603, 979, 286, 3371, 616, 930, 3268, 547, 1246, 1384, 272, 269, 6875, 942, 547, 1184, 707, 4664, 281, 6969, 596, 666, 31799, 267, 621, 781, 1898, 547, 11760, 543, 1174, 707, 4606, 269, 12315, 3054, 10479, 547, 1745, 14220, 267, 8909, 267, 610, 25922, 269, 13185, 547, 2576, 596, 3972, 827, 875, 596, 2811, 4743, 267, 899, 513, 2385, 267, 4116, 267, 610, 24468, 269, 5675, 827, 707, 4555, 543, 4664, 538, 513, 4760, 666, 849, 581, 5363, 563, 273, 269, 6657, 6568, 281, 8347, 8380, 3054, 538, 519, 824, 1268, 781, 10887, 269, 13760, 1946, 789, 1522, 723, 19500, 519, 1259, 789, 1705, 269, 9320, 789, 941, 2348, 513, 3983, 1554, 610, 7231, 609, 2566, 269, 5457, 602, 1100, 835, 568, 3501, 267, 543, 3025, 19262, 11587, 543, 2463, 563, 274, 269, 4004, 6510, 16175, 281, 1403, 3617, 267, 2911, 547, 519, 1268, 945, 10413, 596, 269, 18124, 707, 4606, 9350, 569, 543, 25473, 1510, 1025, 5446, 610, 22215, 873, 269, 19415, 8362, 547, 741, 5133, 543, 2119, 547, 2097, 909, 609, 513, 3070, 1927, 269, 6884, 1175, 6158, 998, 519, 3390, 666, 1291, 547, 6571, 543, 21047, 563, 275, 269, 7994, 19807, 936, 20947, 281, 670, 13783, 5196, 10845, 543, 5275, 20947, 786, 1152, 2014, 811, 2800, 543, 2061, 7067, 269, 19805, 19807, 3079, 2636, 1312, 6105, 547, 1847, 2250, 519, 4655, 543, 1332, 689, 519, 1995, 563, 276, 269, 10312, 593, 2318, 3206, 281, 29799, 2942, 4555, 609, 2318, 3283, 269, 28259, 3054, 609, 11215, 2828, 543, 1920, 2818, 945, 10575, 3424, 596, 269, 18918, 538, 2238, 602, 3142, 7772, 543, 20106, 269, 28552, 14696, 666, 849, 6521, 707, 1445, 2476, 689, 2258, 18356, 543, 4724, 7071, 563, 277, 269, 16418, 1489, 952, 2877, 281, 1403, 596, 3136, 547, 6560, 609, 19807, 543, 15603, 979, 267, 2015, 8757, 856, 547, 513, 2790, 1072, 3318, 585, 5583, 269, 26935, 1235, 543, 24784, 666, 1683, 2645, 543, 2994, 547, 948, 4383, 4101, 4664, 543, 3895, 7067, 780, 28885, 11009, 2853, 899, 2620, 7244, 5751, 543, 9066, 666, 849, 5351, 538, 5883, 10845, 543, 5009, 19807, 269, 1635, 1298, 1359, 6000, 543, 4742, 3222, 540, 938, 4555, 543, 4664, 267, 649, 1711, 2230, 585, 7067, 543, 2208, 780, 8855, 267, 19807, 3217, 942, 543, 4674, 269, 1809, 676, 8026, 19807, 543, 15603, 979, 267, 649, 11349, 6418, 4708, 267, 7794, 3347, 267, 543, 3986, 2949, 8171, 269, 1924, 1491, 513, 2620, 7362, 267, 3442, 11587, 267, 543, 9784, 519, 1379, 540, 19807, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 4472, 821, 281, 15394, 1336, 1055, 519, 5032, 338, 540, 590, 269, 3013, 267, 3567, 267, 543, 3624, 269, 13242, 676, 9845, 547, 948, 1628, 543, 2149, 4887, 5160, 269, 4746, 2640, 519, 2295, 543, 2337, 538, 12536, 269, 19162, 24887, 519, 4262, 10772, 267, 519, 2806, 29671, 779, 24609, 539, 267, 24814, 3337, 609, 3352, 1938, 1417, 9703, 729, 1031, 676, 519, 7111, 19566, 1977, 12075, 607, 513, 2067, 6077, 585, 26349, 267, 17008, 543, 19001, 563, 13070, 622, 281, 1290, 12723, 540, 18784, 14848, 540, 31763, 345, 9788, 1524, 538, 10477, 13164, 610, 10775, 19490, 269, 634, 5920, 540, 519, 6149, 568, 14589, 344, 543, 2571, 269, 20290, 2141, 6037, 1075, 550, 543, 12212, 12001, 269, 3397, 919, 616, 27733, 10007, 269, 1358, 948, 3489, 513, 1732, 2168, 270, 655, 10899, 3666, 269, 1358, 960, 547, 6318, 9637, 269, 12706, 338, 1582, 21873, 269, 901, 568, 30634, 1027, 3415, 1627, 16379, 269, 4414, 267, 10538, 267, 5835, 267, 536, 992, 985, 281, 20348, 267, 16140, 532, 269, 1280, 7181, 267, 3935, 267, 6797, 267, 838, 22220, 267, 14401, 269, 2578, 1359, 267, 2921, 2295, 269, 10552, 338, 13610, 267, 30604, 11721, 797, 2152, 267, 9726, 333, 3941, 267, 7195, 1734, 4664, 269, 6184, 697, 267, 10163, 2803, 8229, 4743, 543, 7067, 1310, 5945, 11486, 5281, 269, 717, 10270, 883, 585, 9066, 269, 2274, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2690, 326, 4369, 543, 2913, 1154, 3619, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 8682, 5336, 534, 1771, 1315, 4911, 518, 5004, 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, 296, 993, 6126, 547, 2743, 596, 543, 948, 596, 1174, 811, 827, 938, 1158, 543, 922, 11317, 269, 3733, 2012, 568, 8861, 267, 543, 594, 2661, 538, 513, 1747, 1572, 5899, 987, 935, 320, 6019, 267, 799, 568, 4092, 538, 4516, 267, 593, 4541, 3047, 780, 296, 1294, 602, 596, 2811, 1007, 1934, 543, 1810, 1405, 917, 1454, 827, 721, 610, 938, 2081, 269, 2334, 781, 9985, 5386, 256, 2913, 803, 1376, 676, 10213, 596, 513, 2370, 3787, 827, 519, 7087, 9082, 540, 713, 1858, 267, 4171, 12583, 543, 4529, 616, 7184, 4448, 547, 519, 2244, 649, 1796, 593, 269, 634, 7087, 9082, 1331, 1312, 3689, 8315, 543, 631, 18863, 529, 2950, 269, 3962, 1895, 814, 922, 1378, 2189, 9821, 267, 5389, 267, 543, 2984, 5293, 1524, 998, 5481, 780, 3080, 1271, 2460, 540, 7087, 4529, 3322, 2831, 269, 1280, 873, 267, 2831, 3180, 1390, 4644, 543, 666, 581, 2938, 607, 3610, 267, 2149, 832, 267, 610, 1256, 14077, 269, 3509, 7087, 5137, 2984, 4125, 2831, 4730, 1883, 5107, 538, 5935, 519, 1158, 269, 1452, 2984, 7618, 1004, 540, 741, 9021, 2509, 2470, 543, 519, 2956, 540, 2713, 32069, 609, 824, 7068, 780, 2690, 3236, 267, 1851, 519, 595, 872, 1004, 267, 851, 540, 519, 15521, 14520, 8513, 1141, 594, 2097, 689, 267, 986, 1597, 568, 2808, 513, 8945, 3122, 4137, 945, 1419, 11414, 4245, 998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1160, 6570, 531, 11810, 692, 8310, 8242, 692, 3682, 6570, 531, 11810, 568, 513, 7936, 540, 7954, 269, 898, 568, 849, 1572, 20790, 531, 7954, 267, 3948, 7954, 267, 2366, 1113, 11810, 267, 2366, 1113, 7954, 267, 610, 3006, 1990, 518, 1054, 19195, 7954, 1547, 898, 9388, 609, 3981, 1431, 630, 6518, 666, 581, 3020, 610, 7301, 264, 543, 1894, 1063, 3981, 1431, 267, 1519, 519, 4070, 540, 7440, 1759, 593, 873, 269, 3281, 895, 3981, 1431, 616, 4646, 676, 8220, 3981, 1431, 676, 9266, 1921, 1161, 269, 1160, 21752, 602, 2270, 1100, 9266, 1921, 1161, 616, 1572, 10570, 3981, 1431, 780, 1012, 12937, 692, 19284, 1101, 19195, 7954, 267, 20790, 531, 7954, 1281, 711, 4308, 609, 1875, 2000, 16479, 3615, 267, 32252, 919, 827, 873, 267, 610, 3067, 13294, 269, 1717, 267, 782, 519, 12227, 540, 20790, 531, 7954, 568, 3769, 538, 1101, 19195, 7954, 543, 2362, 19195, 2845, 923, 269, 769, 713, 2631, 267, 20790, 531, 7954, 568, 519, 5748, 540, 1101, 19195, 7954, 543, 2362, 19195, 7954, 780, 1012, 19247, 692, 299, 16479, 1921, 1161, 616, 1336, 538, 2067, 4654, 269, 769, 2296, 585, 1383, 267, 930, 1806, 616, 834, 663, 257, 630, 935, 329, 4233, 1070, 834, 528, 257, 630, 4134, 329, 4233, 1070, 834, 2254, 257, 630, 10864, 566, 264, 543, 834, 604, 257, 630, 8117, 1152, 950, 1031, 547, 20301, 1570, 19585, 6393, 763, 1739, 568, 606, 1383, 540, 513, 1360, 2241, 23221, 1369, 519, 9165, 540, 20790, 531, 7954, 1384, 7093, 332, 1047, 476, 272, 281, 1403, 621, 781, 986, 1456, 1287, 621, 781, 31063, 563, 7093, 332, 1047, 476, 273, 281, 898, 781, 986, 1456, 563, 6962, 281, 898, 781, 31063, 780, 13828, 22402, 543, 519, 3932, 616, 3981, 1431, 269, 634, 22402, 616, 3144, 585, 11292, 267, 543, 609, 519, 3498, 540, 1110, 639, 533, 517, 839, 630, 534, 23221, 4341, 1070, 519, 3932, 5205, 780, 2026, 20790, 531, 7954, 568, 711, 7255, 609, 519, 2497, 540, 3981, 1431, 3564, 519, 1448, 1141, 789, 666, 1405, 581, 10920, 12723, 1022, 811, 676, 9266, 1921, 1161, 267, 713, 23221, 666, 581, 1964, 730, 13868, 1346, 10570, 6898, 609, 3948, 5022, 267, 799, 616, 14648, 607, 4632, 8204, 6898, 1384, 7093, 332, 1047, 476, 272, 281, 12276, 6234, 623, 29540, 1627, 21456, 7093, 332, 1047, 476, 273, 281, 12276, 6234, 623, 21456, 6962, 281, 12276, 6234, 1627, 10592, 763, 1482, 666, 581, 7150, 13151, 3307, 569, 538, 519, 1739, 1259, 1384, 21851, 6234, 623, 29540, 1627, 267, 303, 315, 341, 323, 1662, 1627, 10592, 2691, 623, 568, 14648, 607, 834, 2005, 781, 986, 1456, 257, 543, 1627, 607, 834, 527, 781, 31063, 257, 519, 1657, 12572, 7215, 666, 581, 2938, 547, 5330, 4010, 609, 519, 3312, 4082, 538, 2067, 1893, 269, 3502, 1152, 602, 267, 855, 789, 786, 849, 5330, 609, 1022, 824, 23221, 540, 713, 1106, 267, 799, 786, 581, 4570, 593, 519, 1482, 4493, 713, 23221, 568, 780, 3682, 6570, 531, 7954, 949, 581, 6594, 998, 513, 6101, 1062, 538, 799, 12596, 540, 513, 6101, 1893, 949, 581, 14648, 547, 2099, 3981, 1431, 269, 589, 1062, 540, 24936, 1682, 543, 23221, 3652, 2636, 1978, 12596, 547, 581, 6508, 269, 1452, 6508, 12596, 616, 1572, 5376, 916, 543, 949, 581, 14648, 547, 581, 3020, 3981, 1431, 269, 589, 9112, 5311, 540, 971, 12596, 568, 1634, 607, 513, 8174, 566, 610, 6169, 543, 519, 2063, 4542, 540, 519, 5311, 568, 519, 11532, 269, 634, 8174, 566, 949, 581, 14648, 607, 6169, 540, 519, 20790, 6719, 676, 519, 11532, 780, 2691, 513, 6101, 1062, 568, 1031, 547, 2099, 6101, 7954, 267, 1152, 3948, 5022, 630, 17141, 3854, 19005, 5022, 971, 607, 12276, 6234, 623, 20954, 12276, 6234, 1627, 4151, 543, 12276, 6234, 681, 4151, 1496, 272, 316, 3738, 616, 6719, 2047, 269, 634, 2067, 1893, 3981, 1431, 602, 8451, 950, 789, 2811, 14648, 616, 3544, 519, 9165, 540, 519, 1062, 267, 543, 519, 6935, 1063, 519, 6101, 1062, 543, 922, 7664, 568, 11338, 3544, 519, 6101, 1062, 3294, 780, 1103, 8106, 5168, 1922, 23341, 20790, 531, 7954, 267, 12596, 616, 14648, 607, 2348, 10502, 835, 540, 1079, 2009, 5168, 2418, 267, 519, 5168, 1871, 540, 3020, 610, 519, 5168, 1871, 540, 7301, 269, 1496, 273, 316, 634, 6240, 540, 536, 2526, 775, 543, 519, 1876, 540, 16934, 1647, 616, 909, 18988, 269, 18266, 1922, 23341, 20790, 531, 7954, 3989, 607, 971, 543, 1949, 568, 25806, 547, 621, 616, 2808, 547, 581, 1990, 518, 1054, 19195, 7954, 1547, 1717, 267, 4244, 20790, 531, 2845, 923, 616, 849, 2009, 269, 1280, 811, 267, 1294, 4033, 9266, 2301, 328, 2630, 780, 1012, 3778, 692, 7212, 20790, 531, 7954, 630, 6518, 568, 20049, 762, 609, 20790, 531, 11810, 264, 1185, 1044, 20726, 539, 676, 4505, 15806, 267, 621, 729, 2919, 883, 513, 6101, 7954, 630, 306, 1729, 545, 7954, 264, 676, 932, 24075, 2089, 639, 538, 519, 476, 274, 6113, 2540, 7460, 1496, 274, 316, 543, 9450, 676, 1010, 24288, 853, 334, 923, 269, 634, 7954, 729, 5059, 593, 3981, 1431, 269, 901, 13120, 729, 1114, 689, 519, 2757, 11382, 690, 2065, 7954, 267, 799, 729, 5059, 593, 2474, 269, 1717, 267, 1034, 540, 519, 3312, 12591, 941, 4503, 1496, 275, 316, 543, 519, 20790, 531, 7954, 2919, 676, 519, 853, 334, 923, 729, 1100, 3476, 6956, 2663, 538, 25196, 16804, 11239, 2877, 9948, 9182, 267, 519, 1062, 729, 9247, 5368, 1203, 539, 676, 8834, 2806, 601, 731, 538, 519, 476, 1321, 628, 2540, 269, 1496, 276, 6540, 3682, 6570, 531, 7954, 729, 5555, 15568, 1210, 12572, 7954, 269, 634, 476, 1704, 628, 270, 1240, 628, 10601, 22301, 717, 2714, 325, 3072, 2274, 30519, 714, 814, 1044, 20295, 609, 1373, 519, 13653, 540, 12572, 7954, 585, 1010, 960, 609, 519, 11810, 3731, 328, 665, 13541, 269, 4014, 1010, 960, 729, 519, 1101, 540, 922, 2186, 267, 621, 729, 7164, 547, 519, 3677, 9266, 2146, 269, 9182, 267, 1082, 540, 519, 8441, 6913, 676, 2274, 30519, 714, 941, 9903, 730, 676, 2845, 5974, 899, 6723, 4425, 1961, 543, 31217, 1546, 21546, 1765, 14814, 569, 4830, 540, 2274, 30519, 714, 269, 1496, 277, 6540, 9617, 607, 20790, 531, 7954, 666, 581, 2808, 606, 13120, 689, 519, 4505, 11382, 690, 2065, 7954, 267, 717, 2714, 331, 984, 6154, 613, 781, 2392, 6510, 7954, 666, 581, 849, 2808, 606, 13120, 689, 519, 4505, 20790, 531, 7954, 269, 2290, 2278, 6257, 2392, 6510, 7954, 607, 9256, 834, 1492, 10058, 2934, 540, 11382, 690, 2065, 7954, 543, 20790, 531, 7954, 1701, 1496, 278, 316, 9182, 267, 2392, 6510, 7954, 721, 22363, 538, 513, 1007, 5736, 538, 7954, 781, 1686, 282, 2705, 267, 8441, 538, 20790, 531, 7954, 941, 1869, 1500, 1310, 6154, 613, 267, 1519, 2067, 17429, 794, 267, 5168, 4054, 543, 5168, 7515, 269, 7849, 17429, 794, 729, 11827, 676, 15168, 14551, 22918, 7999, 543, 3967, 15662, 479, 4157, 553, 1171, 545, 345, 269, 18266, 4054, 941, 11827, 676, 661, 3200, 654, 4068, 332, 21861, 269, 1496, 279, 316, 634, 8798, 540, 5168, 7515, 267, 2705, 267, 568, 540, 7334, 5316, 1081, 780, 20751, 1568, 676, 6154, 613, 1496, 280, 316, 543, 26450, 8681, 21651, 267, 1496, 1015, 316, 616, 2093, 9565, 547, 519, 8798, 540, 5168, 7515, 269, 634, 4890, 9184, 983, 2497, 630, 7424, 30149, 607, 513, 3349, 1070, 3294, 267, 568, 3622, 20295, 547, 2901, 32400, 654, 8636, 2102, 7322, 610, 2506, 559, 5403, 630, 528, 1312, 267, 10446, 1040, 1496, 280, 316, 14755, 6154, 613, 543, 21651, 267, 1866, 20295, 609, 2348, 2093, 18631, 5168, 7515, 1331, 5845, 334, 267, 4425, 1961, 267, 8176, 9995, 619, 3212, 597, 576, 267, 1496, 1556, 316, 543, 21321, 560, 5576, 337, 7238, 1457, 269, 11524, 20295, 609, 519, 9184, 983, 2497, 1331, 3967, 15662, 479, 4157, 553, 1171, 545, 345, 267, 21321, 560, 5576, 337, 7238, 1457, 267, 21238, 3345, 6519, 3650, 267, 5261, 26304, 808, 5271, 976, 267, 3627, 966, 3317, 267, 543, 29366, 1338, 7054, 1324, 11066, 269, 1496, 1015, 316, 11086, 267, 930, 723, 11943, 267, 899, 3627, 1744, 657, 5652, 267, 602, 834, 2005, 568, 2484, 689, 2312, 602, 1022, 835, 1268, 1058, 581, 2016, 519, 2140, 540, 1412, 514, 1203, 528, 262, 540, 5168, 2389, 1963, 1701, 269, 1496, 1015, 6540, 1012, 12910, 11659, 692, 1103, 2489, 2474, 267, 513, 11810, 568, 513, 6101, 1062, 602, 5161, 540, 513, 1305, 540, 4852, 12519, 7215, 630, 1134, 268, 11526, 12596, 16532, 513, 13747, 15410, 540, 891, 7215, 630, 1314, 328, 1682, 1070, 7132, 513, 1305, 540, 6101, 3652, 602, 5581, 513, 1808, 9352, 6935, 267, 5497, 547, 581, 14648, 607, 9266, 30424, 267, 593, 519, 2230, 540, 7215, 780, 2691, 519, 6101, 1062, 568, 5497, 547, 581, 513, 9266, 1062, 267, 519, 7215, 616, 5921, 547, 581, 14648, 607, 6898, 267, 543, 519, 3652, 267, 1634, 547, 581, 23221, 3652, 267, 616, 3335, 5497, 547, 581, 5168, 25535, 6326, 269, 769, 713, 4259, 267, 519, 3652, 267, 799, 949, 1331, 24936, 1682, 267, 666, 1287, 581, 1031, 547, 17589, 9497, 514, 2536, 8442, 12596, 8204, 3020, 6898, 31539, 2016, 12596, 8204, 3020, 6898, 780, 763, 1305, 540, 24936, 1682, 949, 581, 8900, 267, 513, 1875, 24105, 13113, 1305, 267, 610, 513, 1293, 2406, 12808, 1305, 630, 5408, 24936, 558, 28203, 1040, 589, 6101, 8239, 16571, 1947, 11225, 519, 7215, 543, 1134, 268, 11526, 12596, 540, 519, 1893, 269, 769, 1840, 513, 5033, 24939, 949, 581, 2016, 799, 11225, 5168, 543, 3024, 725, 630, 528, 12496, 6393, 763, 1893, 540, 513, 20790, 531, 11810, 5161, 540, 692, 272, 269, 513, 1305, 540, 18642, 6698, 267, 1585, 569, 5219, 547, 607, 10570, 12596, 2073, 1747, 6868, 267, 20790, 5022, 267, 610, 4632, 267, 543, 454, 273, 269, 513, 1305, 540, 11346, 6698, 267, 1585, 569, 14648, 607, 9266, 12427, 610, 9266, 1921, 1161, 780, 288, 1134, 268, 11526, 4542, 568, 1022, 10570, 4542, 267, 610, 1022, 4542, 602, 666, 581, 3710, 909, 689, 10570, 12596, 676, 1797, 540, 11346, 6698, 2687, 547, 519, 3652, 540, 519, 8239, 780, 12385, 11490, 2103, 3006, 10646, 1063, 20790, 531, 21635, 267, 20790, 531, 4632, 267, 543, 6562, 1092, 269, 1160, 6570, 531, 21635, 2099, 930, 1880, 20790, 267, 1247, 20790, 531, 4632, 2039, 936, 519, 1305, 540, 782, 10570, 3981, 1431, 269, 2480, 1335, 1092, 267, 2705, 267, 2039, 936, 782, 3981, 1431, 269, 898, 568, 1455, 547, 2099, 20790, 531, 21635, 676, 589, 267, 645, 267, 543, 595, 267, 20790, 531, 4632, 676, 623, 267, 1627, 267, 543, 681, 267, 1496, 272, 316, 543, 28176, 5022, 616, 1419, 5259, 5022, 267, 1034, 1419, 26420, 267, 6543, 486, 267, 543, 6543, 485, 780, 1012, 9978, 2035, 692, 763, 1739, 14592, 513, 3044, 20790, 531, 11810, 269, 3509, 1114, 30422, 2291, 799, 616, 782, 811, 610, 1447, 6697, 267, 855, 8428, 538, 519, 3877, 540, 1384, 272, 269, 741, 1893, 630, 328, 4318, 1421, 519, 1880, 4015, 540, 18642, 6698, 543, 11346, 6698, 13211, 273, 269, 519, 1305, 540, 24936, 1682, 267, 610, 13747, 12596, 267, 543, 454, 274, 269, 519, 1305, 540, 23221, 3652, 780, 12179, 2016, 20790, 949, 581, 6719, 609, 513, 4484, 1572, 513, 1412, 2889, 6570, 531, 3586, 3299, 26922, 547, 8204, 513, 1297, 676, 513, 4484, 538, 6128, 630, 324, 3052, 1421, 513, 815, 476, 276, 1040, 2353, 3981, 1431, 2154, 4010, 835, 540, 1079, 5168, 268, 11161, 281, 3020, 610, 7301, 269, 1280, 1383, 267, 1577, 623, 581, 519, 20790, 602, 621, 568, 986, 1456, 3544, 269, 901, 786, 581, 3020, 630, 303, 264, 952, 621, 568, 986, 1456, 3544, 267, 543, 7301, 6382, 630, 12953, 303, 6393, 1892, 1284, 1287, 5581, 5168, 1922, 23341, 12427, 267, 4098, 609, 2258, 566, 269, 2485, 361, 303, 4564, 519, 2258, 566, 540, 623, 267, 1496, 272, 316, 799, 666, 581, 2219, 540, 607, 519, 24677, 540, 623, 269, 769, 519, 1383, 1657, 267, 2485, 361, 303, 20475, 602, 621, 568, 711, 986, 1456, 3544, 267, 610, 676, 513, 811, 3044, 2542, 281, 834, 2005, 568, 711, 519, 2013, 602, 621, 568, 986, 1456, 3544, 1701, 1879, 623, 568, 3020, 267, 2485, 361, 303, 568, 7301, 282, 543, 950, 623, 568, 7301, 267, 2485, 361, 303, 568, 3020, 269, 1306, 513, 1267, 267, 2485, 361, 2485, 361, 303, 2141, 814, 519, 1482, 5168, 17032, 607, 623, 563, 1892, 1230, 329, 4233, 568, 513, 5168, 1922, 23341, 24561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 476, 272, 269, 13056, 9809, 320, 19804, 1982, 320, 6446, 682, 807, 19804, 818, 638, 16343, 1257, 334, 25077, 334, 454, 6373, 30458, 632, 1439, 699, 9809, 657, 7379, 552, 575, 699, 19804, 856, 549, 818, 638, 16343, 267, 25077, 334, 19804, 454, 7758, 520, 6759, 26369, 13121, 1439, 699, 9809, 657, 7379, 642, 5451, 331, 573, 657, 552, 1045, 5451, 331, 573, 657, 780, 302, 818, 638, 16343, 632, 1303, 2784, 320, 1502, 14241, 522, 5302, 340, 842, 324, 3898, 334, 912, 1220, 269, 13670, 269, 3199, 269, 280, 454, 4572, 269, 12739, 269, 272, 269, 272, 454, 279, 269, 3374, 269, 6858, 269, 10619, 454, 27038, 269, 3953, 269, 275, 269, 276, 454, 5952, 269, 24833, 269, 272, 269, 273, 454, 272, 269, 273, 269, 274, 269, 275, 454, 280, 269, 279, 269, 23056, 269, 276, 454, 4572, 269, 12739, 269, 271, 269, 16348, 692, 302, 818, 638, 16343, 632, 1094, 6403, 6767, 1502, 14241, 522, 5302, 340, 842, 324, 3898, 334, 912, 314, 17484, 699, 9809, 657, 642, 5451, 331, 573, 657, 281, 2639, 1220, 269, 13670, 269, 3199, 269, 280, 454, 4572, 269, 12739, 269, 272, 269, 272, 454, 279, 269, 3374, 269, 6858, 269, 10619, 454, 272, 269, 273, 269, 274, 269, 275, 692, 314, 17484, 699, 9809, 657, 1045, 5451, 331, 573, 657, 281, 2639, 27038, 269, 3953, 269, 275, 269, 276, 454, 5952, 269, 24833, 269, 272, 269, 273, 454, 280, 269, 279, 269, 23056, 269, 276, 454, 4572, 269, 12739, 269, 271, 269, 16348, 692, 20701, 5814, 556, 7531, 3698, 556, 613, 343, 263, 6312, 1181, 267, 5569, 2187, 825, 3061, 815, 556, 6230, 2255, 263, 6312, 1181, 267, 5569, 994, 825, 952, 536, 944, 6262, 2194, 2187, 1038, 2132, 3061, 3052, 4981, 4590, 825, 2132, 8771, 7531, 760, 24449, 815, 1412, 7055, 760, 10983, 815, 1412, 7055, 4289, 815, 27835, 271, 269, 1839, 269, 3451, 269, 866, 3299, 1412, 14096, 269, 271, 269, 272, 269, 272, 3299, 1412, 14096, 269, 271, 269, 271, 269, 273, 3299, 1412, 14096, 269, 271, 269, 271, 269, 272, 3299, 1412, 4572, 269, 271, 269, 271, 269, 16348, 3299, 1412, 271, 269, 12739, 269, 272, 269, 3607, 3299, 1412, 272, 269, 272, 269, 271, 269, 4200, 3299, 1412, 1220, 269, 13670, 269, 3199, 269, 280, 22779, 1038, 1412, 4572, 269, 12739, 269, 272, 269, 272, 3299, 1412, 279, 269, 3374, 269, 6858, 269, 10619, 3299, 1412, 27038, 269, 3953, 269, 275, 269, 276, 3299, 1412, 5952, 269, 24833, 269, 272, 269, 273, 3299, 1412, 272, 269, 273, 269, 274, 269, 275, 3299, 1412, 280, 269, 279, 269, 23056, 269, 276, 3299, 1412, 4572, 269, 12739, 269, 271, 269, 16348, 262, 10926, 1721, 28258, 538, 1592, 912, 825, 952, 28258, 2652, 1412, 271, 269, 271, 269, 271, 269, 271, 12466, 1038, 28258, 24449, 815, 28258, 24449, 1341, 1412, 315, 333, 262, 1341, 28258, 454, 825, 8640, 556, 613, 343, 3488, 22677, 8443, 272, 268, 280, 316, 315, 269, 347, 314, 272, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 272, 314, 271, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 273, 314, 271, 268, 275, 6012, 271, 268, 280, 316, 315, 269, 347, 1839, 314, 271, 268, 276, 316, 315, 4700, 8443, 271, 268, 280, 316, 315, 269, 347, 314, 272, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 272, 314, 271, 268, 280, 316, 7055, 25639, 1412, 314, 271, 268, 280, 316, 315, 269, 347, 273, 314, 271, 268, 275, 6012, 271, 268, 280, 316, 315, 269, 347, 1839, 314, 271, 268, 276, 316, 315, 4700, 8443, 271, 268, 280, 316, 315, 269, 347, 314, 272, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 272, 314, 271, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 273, 314, 271, 268, 275, 6012, 271, 268, 280, 316, 315, 269, 347, 1839, 314, 271, 268, 276, 316, 315, 4700, 7055, 25639, 1412, 8443, 271, 268, 280, 316, 315, 269, 347, 314, 272, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 272, 314, 271, 268, 280, 6012, 271, 268, 280, 316, 315, 269, 347, 273, 314, 271, 268, 275, 6012, 271, 268, 280, 316, 315, 269, 347, 1839, 314, 271, 268, 276, 316, 315, 269, 4297, 259, 3299, 28258, 1341, 1412, 9538, 2187, 1038, 28258, 24449, 815, 28258, 24449, 1341, 1412, 315, 333, 262, 1341, 28258, 454, 825, 3116, 912, 1038, 28258, 10983, 815, 28258, 10983, 1341, 1412, 315, 333, 262, 1341, 28258, 692, 2745, 3488, 314, 17484, 699, 9809, 657, 642, 5451, 331, 573, 657, 281, 316, 5073, 2745, 263, 760, 24449, 994, 2745, 3488, 314, 17484, 699, 9809, 657, 1045, 5451, 331, 573, 657, 281, 316, 5073, 2745, 263, 760, 10983, 994, 0, 18851, 476, 1626, 12171, 320, 9809, 320, 19804, 1982, 320, 16948, 579, 2742, 3138, 10937, 632, 512, 842, 553, 269, 744, 1982, 320, 632, 591, 5451, 7895, 597, 522, 512, 16120, 14833, 454, 900, 1558, 4592, 22712, 2784, 657, 13005, 3331, 350, 16699, 513, 1583, 533, 842, 3385, 563, 3117, 573, 699, 6446, 513, 1071, 6975, 3120, 13005, 512, 842, 320, 20527, 632, 476, 272, 1396, 549, 16948, 524, 3385, 476, 274, 1558, 4592, 22712, 2784, 657, 552, 6446, 454, 476, 513, 512, 842, 320, 20527, 15764, 5866, 900, 4234, 553, 632, 476, 1240, 1396, 4592, 267, 6446, 8169, 600, 681, 259, 476, 3199, 267, 876, 563, 476, 22252, 324, 513, 334, 721, 340, 5451, 26369, 513, 3067, 573, 3547, 632, 4234, 553, 632, 512, 842, 320, 513, 694, 8145, 735, 2784, 553, 552, 522, 840, 9809, 334, 2698, 563, 12163, 258, 9866, 269, 721, 541, 1104, 2979, 16948, 721, 541, 513, 1187, 23843, 2979, 269, 576, 559, 454, 258, 2979, 269, 576, 559, 20527, 721, 5964, 16948, 818, 1042, 1180, 541, 16948, 522, 11553, 383, 497, 311, 8379, 302, 562, 14243, 1067, 334, 703, 324, 10098, 692, 5814, 2979, 692, 19327, 815, 10581, 9272, 3488, 14707, 924, 522, 512, 16120, 14833, 900, 1558, 4592, 13005, 3331, 350, 16699, 513, 1583, 533, 842, 3385, 281, 29125, 336, 339, 1372, 815, 2979, 269, 576, 559, 263, 19327, 270, 7918, 994, 1998, 528, 815, 476, 3199, 692, 604, 1858, 3436, 476, 7918, 912, 825, 1820, 3488, 4467, 1440, 541, 3299, 2979, 269, 576, 559, 263, 19327, 270, 7918, 1070, 1412, 331, 1092, 4433, 264, 5073, 825, 1820, 3488, 302, 27089, 2698, 513, 1583, 533, 6210, 1583, 5451, 281, 22207, 7117, 339, 1372, 2608, 27089, 2020, 12828, 912, 825, 1820, 3488, 4467, 1440, 541, 3284, 523, 553, 476, 272, 561, 1092, 269, 5073, 825, 1820, 3488, 302, 27089, 2698, 513, 1583, 533, 6210, 1583, 5451, 281, 681, 259, 476, 3199, 269, 271, 5073, 0, 18851, 476, 1704, 269, 13056, 9809, 320, 19804, 5358, 320, 6446, 890, 9809, 320, 19804, 562, 14243, 1067, 334, 5330, 25366, 513, 19804, 454, 323, 9057, 514, 5964, 606, 334, 552, 900, 5302, 340, 5866, 1217, 324, 694, 1609, 324, 606, 334, 20527, 522, 340, 562, 14244, 20312, 572, 868, 334, 563, 20701, 8457, 815, 10581, 9272, 3488, 14707, 924, 522, 606, 334, 281, 1412, 11723, 604, 630, 8457, 4939, 476, 275, 2652, 476, 271, 543, 606, 334, 4939, 476, 1911, 11203, 476, 271, 264, 610, 606, 334, 4939, 476, 6110, 2652, 476, 271, 912, 825, 1820, 3488, 302, 606, 334, 20527, 20312, 572, 868, 334, 269, 5073, 12828, 912, 825, 1820, 3488, 301, 14244, 20527, 19804, 606, 334, 20312, 572, 868, 334, 269, 5073, 0, 18851, 476, 273, 269, 715, 727, 513, 334, 733, 337, 5451, 26369, 900, 544, 2967, 14243, 338, 1529, 553, 563, 293, 320, 9809, 320, 19804, 1982, 320, 6446, 11863, 320, 513, 334, 721, 340, 5451, 26369, 7857, 541, 522, 694, 340, 562, 727, 552, 900, 5302, 340, 5866, 1034, 516, 522, 454, 333, 727, 798, 721, 340, 5451, 26369, 632, 959, 27222, 16948, 535, 1370, 324, 3351, 714, 18372, 1474, 25366, 1577, 6652, 544, 2967, 14243, 338, 1529, 553, 563, 291, 3821, 281, 682, 3387, 516, 6629, 572, 6446, 513, 334, 1217, 541, 522, 562, 727, 522, 721, 340, 5451, 26369, 533, 1712, 7857, 541, 1577, 6652, 544, 2967, 14243, 338, 1529, 553, 522, 340, 1295, 14243, 338, 1529, 553, 563, 20701, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 19804, 562, 727, 281, 1412, 4917, 333, 727, 273, 815, 562, 727, 269, 21639, 3890, 11468, 18737, 272, 6540, 2745, 3488, 301, 727, 513, 334, 733, 337, 9222, 552, 635, 1577, 6652, 544, 2967, 639, 1529, 553, 281, 22207, 562, 727, 273, 994, 0, 18851, 476, 277, 12171, 320, 9809, 320, 19804, 5358, 320, 6446, 890, 9809, 320, 522, 986, 1470, 632, 19804, 524, 6403, 337, 1529, 334, 267, 1608, 9908, 552, 1034, 516, 647, 320, 3331, 350, 16699, 27969, 692, 571, 1470, 815, 10581, 9272, 3488, 14707, 924, 522, 512, 16120, 14833, 798, 986, 1470, 798, 524, 6403, 337, 1529, 334, 281, 1412, 11723, 258, 9866, 12727, 4406, 528, 632, 12631, 27456, 328, 2567, 476, 274, 269, 1691, 818, 1042, 1180, 5964, 454, 258, 674, 6759, 3944, 3121, 13005, 1858, 798, 6933, 334, 281, 12631, 2608, 630, 571, 1470, 2878, 476, 273, 994, 258, 1412, 1262, 262, 535, 6759, 3944, 3121, 632, 1163, 517, 16780, 807, 23843, 692, 2745, 3488, 288, 3331, 350, 16699, 798, 6933, 334, 20527, 281, 3299, 476, 274, 269, 1691, 2608, 630, 571, 1470, 2878, 476, 273, 4917, 0, 18851, 476, 277, 269, 13056, 9809, 320, 19804, 1982, 320, 6446, 791, 3234, 320, 14255, 512, 11253, 15259, 562, 14243, 1067, 657, 632, 476, 272, 513, 476, 736, 267, 19804, 705, 320, 1460, 334, 798, 856, 549, 563, 12831, 12251, 1110, 604, 1664, 522, 1982, 320, 16948, 6446, 1605, 1034, 516, 15259, 562, 14243, 1067, 657, 19804, 513, 334, 561, 5964, 798, 856, 549, 563, 20701, 1721, 1003, 3266, 538, 2039, 263, 272, 267, 476, 2641, 2187, 825, 1820, 16325, 3266, 2020, 1721, 1003, 3266, 538, 2039, 263, 272, 267, 476, 2641, 2187, 825, 1820, 16325, 3266, 267, 1439, 8782, 30386, 0, 18851, 476, 274, 12171, 320, 9809, 320, 19804, 5358, 320, 6446, 890, 9809, 320, 798, 529, 562, 14243, 1067, 657, 552, 791, 3234, 320, 513, 1474, 320, 269, 29185, 11133, 272, 815, 10581, 9272, 3488, 14707, 924, 522, 6305, 10098, 562, 14243, 1067, 334, 281, 1412, 4917, 11133, 273, 815, 10581, 9272, 3488, 14707, 924, 522, 5302, 1495, 334, 562, 14243, 1067, 334, 281, 1412, 11723, 2745, 3488, 288, 1474, 320, 13121, 798, 529, 562, 14243, 1067, 657, 1217, 15606, 20527, 281, 22207, 3898, 16325, 272, 1341, 1003, 273, 267, 1412, 333, 29125, 0, 5814, 19523, 454, 27771, 267, 3403, 318, 16780, 5317, 267, 5470, 815, 19523, 27769, 341, 7531, 3698, 1292, 10857, 4833, 18316, 267, 17683, 267, 6959, 2567, 1948, 594, 1376, 519, 1292, 5779, 540, 713, 3009, 538, 513, 1599, 10375, 569, 1572, 1292, 269, 901, 786, 581, 1572, 693, 519, 1439, 540, 713, 7097, 547, 1205, 1919, 2469, 563, 825, 1899, 815, 1893, 18316, 18667, 1467, 3890, 1948, 634, 1101, 3364, 713, 1599, 1281, 568, 1224, 835, 1899, 689, 519, 4654, 3758, 621, 568, 2016, 269, 1411, 723, 2944, 713, 1354, 865, 4986, 1007, 1934, 269, 3807, 1224, 1467, 607, 1354, 950, 7231, 609, 1257, 6119, 563, 8931, 825, 952, 1899, 912, 1038, 1820, 318, 1467, 263, 1467, 267, 17683, 267, 6959, 994, 825, 2132, 1292, 10857, 4833, 18316, 267, 17683, 267, 6959, 9239, 3698, 1820, 318, 1467, 263, 1467, 267, 17683, 267, 6959, 2187, 825, 1985, 9078, 836, 815, 1899, 14714, 8692, 4590, 825, 6151, 318, 2421, 5052, 815, 1985, 9078, 836, 269, 523, 13892, 263, 16780, 5317, 267, 6959, 284, 518, 5558, 994, 825, 11273, 23952, 815, 6151, 318, 2421, 5052, 19709, 13892, 263, 16780, 5317, 267, 6959, 284, 518, 5558, 2020, 825, 1820, 263, 3863, 318, 2421, 5052, 267, 834, 283, 2525, 27784, 2580, 11273, 23952, 9239, 331, 16722, 815, 1930, 2891, 331, 16722, 17902, 2580, 17683, 6889, 583, 325, 268, 279, 15419, 10852, 10857, 16722, 267, 3403, 318, 16780, 5317, 267, 5470, 264, 0, 258, 25426, 362, 30903, 502, 28997, 478, 13213, 364, 16088, 14756, 503, 27936, 22047, 12255, 14756, 482, 8147, 13213, 498, 18713, 508, 4970, 353, 14748, 12255, 21211, 7511, 31284, 21550, 485, 8147, 10429, 370, 18809, 4970, 353, 14748, 12255, 21211, 18263, 489, 25520, 419, 511, 487, 30678, 14756, 503, 27936, 7511, 25203, 362, 21550, 485, 29219, 27818, 417, 479, 485, 18777, 378, 20069, 4970, 498 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1514, 7554, 543, 20475, 14696, 267, 28908, 267, 543, 15754, 269, 2311, 519, 1482, 942, 267, 621, 849, 5713, 513, 4052, 1599, 267, 607, 519, 4687, 540, 1426, 5932, 513, 2631, 540, 2146, 543, 9322, 269, 5047, 267, 519, 957, 540, 4758, 3294, 568, 2808, 5789, 3218, 1190, 538, 18420, 267, 607, 621, 2337, 547, 11349, 2318, 737, 12609, 543, 3895, 10103, 1063, 2043, 543, 2486, 780, 1103, 1840, 547, 891, 2489, 4798, 267, 4144, 28549, 6585, 1114, 10096, 543, 4644, 585, 1585, 3909, 2516, 543, 2950, 269, 1280, 1383, 267, 585, 27734, 267, 4144, 28549, 7436, 519, 4098, 540, 513, 1007, 1032, 543, 519, 1376, 540, 513, 1007, 4783, 540, 1272, 543, 2669, 269, 898, 568, 849, 5156, 547, 581, 606, 513, 22273, 5534, 942, 585, 4358, 1007, 26136, 267, 1818, 1271, 3664, 267, 543, 7900, 12738, 543, 18428, 269, 1635, 4334, 267, 585, 27566, 338, 267, 4144, 28549, 22842, 519, 5305, 540, 29831, 670, 1173, 984, 785, 19453, 689, 7890, 538, 476, 14065, 280, 543, 1010, 7766, 10661, 540, 519, 13019, 531, 28635, 6255, 267, 519, 18678, 10160, 540, 13796, 6392, 585, 519, 27566, 5132, 269, 7053, 267, 585, 808, 1622, 267, 4144, 28549, 26549, 10067, 822, 4275, 267, 519, 2063, 540, 519, 8938, 21144, 512, 9500, 1678, 31730, 630, 338, 2869, 3770, 3610, 264, 945, 8547, 27454, 1143, 267, 543, 1010, 26556, 540, 544, 758, 3333, 320, 630, 12221, 3130, 689, 519, 4783, 540, 4332, 543, 2669, 1040, 6736, 891, 3604, 267, 2705, 267, 782, 1614, 10764, 2671, 1455, 2418, 543, 17050, 267, 971, 607, 32593, 775, 267, 1582, 16162, 23002, 267, 543, 27527, 585, 10723, 5931, 543, 10752, 780, 9213, 267, 4144, 28549, 814, 3144, 593, 1007, 3029, 543, 7215, 538, 3210, 547, 14051, 267, 20012, 267, 543, 6639, 1689, 269, 1280, 3236, 267, 3079, 540, 1210, 2757, 3282, 22311, 610, 22250, 267, 930, 1004, 1631, 946, 3167, 8279, 610, 10896, 23598, 547, 1665, 519, 8317, 269, 6684, 267, 3059, 5867, 543, 2228, 5121, 723, 13087, 27734, 267, 27566, 338, 267, 543, 808, 1622, 2713, 3544, 3127, 547, 1921, 609, 1142, 824, 543, 7119, 538, 5691, 4144, 28549, 16873, 269, 6270, 10124, 2992, 519, 13916, 543, 5876, 540, 891, 2950, 267, 607, 1134, 607, 741, 2702, 547, 8190, 543, 10141, 741, 2686, 6561, 2066, 5481, 543, 10923, 6302, 780, 4263, 519, 1482, 942, 267, 4144, 28549, 8188, 2591, 543, 27900, 602, 21279, 922, 8699, 543, 13597, 269, 2290, 3390, 4145, 519, 5010, 1436, 543, 12796, 2305, 540, 519, 13037, 267, 607, 4213, 543, 14078, 3343, 547, 31194, 593, 922, 8560, 543, 9029, 269, 6271, 6161, 12211, 547, 2825, 6940, 267, 607, 519, 7050, 946, 540, 32030, 543, 2582, 14025, 15229, 8309, 547, 2011, 5533, 543, 3653, 13250, 269, 14936, 267, 972, 616, 5571, 9840, 827, 519, 1909, 540, 2021, 538, 4144, 28549, 12738, 543, 9821, 267, 3226, 609, 2543, 547, 2152, 540, 4008, 7862, 267, 8116, 267, 543, 6041, 269, 1306, 649, 6330, 891, 10848, 543, 32475, 267, 621, 568, 1898, 547, 2226, 513, 2565, 543, 13857, 5133, 267, 1247, 6967, 16614, 543, 6213, 547, 519, 3309, 5380, 543, 2833, 540, 1346, 3238, 780, 1103, 3932, 267, 4144, 28549, 568, 1454, 811, 982, 1175, 513, 9702, 610, 513, 11812, 910, 621, 568, 513, 7096, 4082, 540, 1480, 8321, 566, 267, 15683, 267, 543, 16637, 775, 269, 3414, 922, 3638, 13513, 267, 9161, 2853, 267, 543, 18497, 2238, 267, 4144, 28549, 20217, 721, 547, 2992, 593, 938, 1747, 538, 519, 1158, 267, 938, 2078, 609, 1866, 267, 543, 938, 1391, 585, 2495, 543, 20106, 269, 6787, 649, 616, 9439, 540, 18420, 267, 31881, 11297, 267, 27454, 1143, 267, 610, 1022, 824, 5132, 2245, 267, 610, 3274, 8049, 24319, 543, 5171, 267, 649, 666, 2721, 6667, 543, 5813, 689, 519, 4245, 540, 4144, 28549, 267, 543, 11441, 547, 18220, 922, 16431, 540, 1769, 267, 7326, 267, 543, 8296, 538, 938, 1378, 2729, 543, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 571, 343, 529, 2274, 527, 325, 23565, 1422, 262, 321, 5350, 769, 3624, 315, 9166, 6184, 3187, 342, 1170, 523, 589, 639, 8210, 3122, 7435, 454, 303, 571, 343, 529, 2274, 527, 325, 23565, 1422, 262, 321, 5350, 769, 3624, 315, 9166, 6184, 3187, 342, 1170, 523, 589, 639, 8210, 3122, 7435, 454, 1607, 16217, 343, 529, 2274, 527, 325, 23565, 568, 1287, 1851, 519, 1034, 23406, 5468, 540, 25586, 28937, 269, 570, 7159, 263, 476, 8146, 272, 268, 5002, 272, 264, 543, 6723, 670, 269, 21563, 534, 263, 476, 5908, 275, 268, 4572, 279, 4297, 610, 519, 25586, 4211, 731, 534, 7285, 263, 1310, 25586, 543, 16902, 1503, 30790, 9315, 8457, 263, 476, 5611, 272, 268, 14991, 277, 26895, 634, 3270, 540, 1007, 2046, 1004, 1044, 676, 519, 9800, 27738, 538, 513, 1381, 540, 476, 274, 268, 273, 268, 272, 25586, 9669, 269, 634, 1200, 7065, 1670, 1469, 568, 519, 3655, 684, 553, 547, 998, 513, 2165, 540, 711, 519, 2221, 269, 2201, 5276, 16217, 343, 529, 2274, 527, 325, 23565, 1422, 262, 19968, 5301, 267, 519, 32280, 540, 9936, 1944, 713, 1305, 568, 6216, 539, 3483, 3060, 269, 634, 674, 19781, 19447, 10498, 1272, 568, 519, 16948, 602, 519, 1341, 28192, 568, 5249, 5196, 269, 6476, 1336, 711, 4843, 585, 669, 13589, 9238, 547, 7158, 269, 10151, 3457, 798, 7783, 585, 23756, 5784, 540, 3280, 16295, 609, 2296, 25082, 598, 7224, 23579, 584, 20641, 269, 1411, 666, 3914, 9504, 676, 18343, 621, 269, 1280, 5488, 2985, 267, 713, 1403, 9347, 568, 3843, 519, 26264, 342, 663, 23673, 585, 12379, 327, 7455, 269, 1411, 666, 1118, 938, 5230, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 12685, 8932, 257, 607, 851, 540, 834, 32628, 1315, 32733, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 3408, 540, 3350, 543, 7544, 256, 4653, 649, 2811, 2469, 547, 4685, 883, 6997, 534, 11873, 5811, 630, 299, 7246, 1070, 799, 568, 899, 2348, 513, 2027, 3172, 4328, 4837, 547, 1353, 875, 649, 1847, 543, 1946, 621, 6927, 538, 7900, 6575, 269, 901, 3532, 1907, 2337, 25249, 1174, 543, 5968, 5322, 998, 1808, 6688, 269, 2913, 781, 2638, 873, 856, 2439, 272, 269, 10610, 281, 898, 781, 782, 827, 1141, 707, 1560, 2694, 979, 543, 1018, 789, 798, 256, 5994, 596, 1616, 547, 1397, 8788, 1107, 6148, 596, 7914, 909, 543, 1524, 609, 2647, 7916, 267, 1318, 286, 2334, 781, 1210, 707, 1560, 538, 700, 7246, 563, 273, 269, 20306, 677, 281, 1215, 1281, 513, 3350, 1745, 286, 1772, 621, 2178, 267, 1769, 267, 2656, 267, 610, 13455, 286, 1879, 15472, 607, 513, 3529, 2220, 11691, 9900, 538, 519, 2842, 267, 707, 4674, 1131, 581, 3500, 543, 17159, 269, 1809, 950, 9446, 532, 513, 7088, 344, 1554, 267, 596, 1522, 946, 3728, 543, 3196, 995, 3646, 2336, 274, 269, 6611, 281, 7316, 1281, 707, 3350, 2661, 286, 3657, 596, 3001, 4464, 267, 18807, 267, 2427, 1811, 267, 610, 9363, 1869, 286, 1411, 1223, 849, 1711, 5546, 676, 8757, 1164, 16841, 610, 524, 709, 4221, 1970, 547, 519, 2666, 269, 6056, 540, 2230, 607, 513, 19209, 585, 3860, 4082, 563, 275, 269, 20556, 281, 5808, 616, 596, 8220, 609, 286, 667, 3496, 4805, 814, 835, 4743, 267, 855, 24574, 1359, 8591, 1776, 4494, 269, 6333, 1079, 5017, 10760, 1927, 910, 972, 779, 6266, 540, 16542, 3238, 2336, 276, 269, 1912, 337, 2084, 281, 3807, 899, 5220, 723, 20297, 267, 544, 26680, 267, 543, 7475, 267, 865, 798, 5322, 256, 32027, 891, 4773, 1927, 5932, 6209, 7215, 1572, 2453, 780, 3086, 1577, 781, 1294, 875, 700, 7246, 1568, 538, 2962, 281, 4952, 1373, 513, 11419, 995, 3032, 14229, 1136, 1472, 519, 2777, 693, 3781, 780, 265, 10610, 281, 2659, 1394, 30617, 5594, 282, 707, 30392, 10301, 856, 5402, 563, 265, 20306, 677, 281, 28073, 616, 9602, 267, 5347, 267, 543, 20982, 563, 265, 6611, 281, 1411, 1793, 1074, 2059, 519, 6989, 267, 2673, 547, 6821, 543, 11647, 563, 265, 20556, 281, 9282, 6140, 21088, 267, 3006, 596, 2170, 609, 3615, 538, 519, 1604, 563, 265, 1912, 337, 2084, 281, 6008, 953, 344, 3268, 1291, 596, 2066, 519, 4055, 1354, 17328, 6748, 2282, 513, 11442, 10856, 267, 1287, 759, 11167, 1586, 780, 4415, 2259, 267, 1620, 700, 7246, 2306, 596, 513, 1732, 1650, 339, 11839, 543, 1685, 518, 267, 1100, 2339, 952, 596, 4782, 29478, 267, 12048, 5577, 267, 2413, 267, 610, 1954, 5598, 7544, 256, 12315, 621, 513, 2119, 1985, 942, 596, 1630, 690, 773, 543, 2671, 519, 7772, 540, 5163, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24552, 616, 4241, 2645, 602, 1450, 721, 547, 2769, 6000, 267, 6655, 938, 4555, 543, 4664, 267, 543, 1921, 609, 1866, 563, 763, 2296, 1893, 568, 3226, 3638, 538, 922, 6863, 267, 609, 9118, 1913, 602, 2709, 2189, 18707, 540, 2495, 543, 8356, 766, 563, 26668, 268, 12072, 1913, 602, 1439, 538, 968, 320, 892, 616, 606, 4277, 15410, 540, 713, 20750, 6625, 267, 21214, 513, 3309, 2039, 540, 1913, 602, 2992, 1114, 3344, 540, 938, 1158, 543, 1995, 563, 5278, 1913, 616, 6405, 543, 3277, 547, 2168, 3615, 267, 1247, 1866, 616, 811, 7493, 543, 3277, 547, 4606, 610, 2035, 563, 5278, 1913, 616, 22666, 689, 824, 4654, 267, 1247, 1866, 616, 5065, 547, 2296, 563, 1607, 2376, 786, 2263, 713, 3235, 937, 545, 1895, 540, 1913, 267, 6313, 741, 29721, 267, 6165, 267, 543, 2686, 4644, 563, 763, 4107, 5871, 12866, 268, 4131, 614, 9293, 7736, 532, 769, 589, 454, 2108, 300, 4215, 892, 568, 513, 2262, 602, 4016, 547, 1585, 2010, 540, 2792, 9055, 602, 616, 1031, 547, 15814, 1344, 267, 3377, 267, 610, 9913, 547, 513, 1804, 5304, 563, 2005, 666, 3277, 547, 519, 1004, 610, 3906, 602, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24248, 534, 11873, 5811, 630, 299, 7246, 17983, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15185, 262, 5418, 553, 547, 519, 10966, 7040, 563, 763, 6217, 568, 547, 581, 4371, 13638, 267, 476, 1240, 4989, 476, 1708, 274, 269, 12751, 10456, 540, 3127, 667, 312, 932, 18588, 577, 644, 23107, 519, 14541, 2059, 609, 3807, 1182, 5842, 329, 599, 918, 880, 534, 918, 4954, 267, 590, 24497, 785, 571, 645, 1002, 267, 13662, 23902, 553, 574, 3873, 267, 543, 670, 9874, 918, 2129, 2993, 563, 15862, 28946, 1080, 281, 1954, 788, 1731, 0, 291, 541, 342, 520, 12456, 267, 849, 1634, 607, 11023, 342, 520, 9503, 12456, 267, 568, 513, 1804, 3618, 23752, 2481, 4092, 538, 519, 590, 785, 327, 11662, 540, 9031, 269, 898, 568, 13883, 593, 519, 11023, 342, 520, 5211, 267, 513, 29815, 776, 540, 519, 1473, 639, 5211, 267, 543, 2488, 1216, 585, 12555, 543, 1379, 5108, 538, 519, 3148, 563, 14532, 540, 11023, 1177, 520, 12456, 454, 291, 541, 1177, 520, 12456, 5956, 547, 581, 9112, 538, 4728, 476, 1001, 271, 543, 6192, 538, 476, 1001, 274, 563, 10190, 5518, 540, 9099, 6243, 540, 9031, 267, 6004, 269, 1306, 604, 18498, 2098, 731, 926, 22305, 13894, 519, 2481, 593, 476, 280, 628, 540, 4728, 267, 476, 1001, 274, 269, 11192, 1942, 540, 4070, 540, 519, 2481, 729, 6059, 607, 623, 298, 305, 476, 280, 269, 274, 5479, 563, 763, 2481, 729, 3710, 676, 519, 4826, 543, 5295, 4886, 16958, 630, 310, 4338, 6395, 264, 540, 9031, 609, 513, 1942, 540, 827, 623, 298, 305, 476, 280, 269, 276, 5479, 269, 634, 1292, 3483, 540, 519, 2481, 568, 547, 1683, 1216, 585, 12555, 547, 519, 4478, 6694, 3338, 267, 799, 616, 519, 3119, 2707, 540, 17612, 585, 519, 2199, 2551, 269, 634, 2481, 568, 849, 4397, 547, 5352, 827, 476, 272, 269, 276, 24448, 540, 5201, 563, 8722, 2137, 540, 11023, 1177, 520, 12456, 454, 13707, 3259, 540, 11023, 1177, 520, 12456, 568, 476, 279, 736, 10264, 610, 476, 7742, 7397, 563, 13707, 4463, 540, 519, 2481, 568, 476, 15221, 10264, 610, 476, 6246, 7397, 563, 291, 541, 1177, 520, 12456, 814, 519, 4859, 4390, 540, 476, 5611, 2929, 12945, 7397, 630, 6344, 267, 1822, 23505, 10264, 264, 540, 1216, 269, 901, 666, 11125, 622, 543, 4324, 476, 1015, 267, 1822, 25614, 630, 1839, 267, 1822, 14143, 264, 540, 2244, 563, 19613, 540, 11023, 1177, 520, 12456, 454, 291, 541, 1177, 520, 12456, 4092, 593, 519, 715, 2967, 4446, 534, 5211, 2673, 547, 8498, 808, 28702, 686, 267, 808, 4461, 1817, 334, 267, 2334, 3279, 269, 898, 568, 827, 476, 3583, 737, 916, 7178, 540, 5754, 1457, 21171, 2749, 543, 476, 13670, 737, 916, 3345, 5101, 540, 10127, 25764, 267, 9031, 563, 19119, 540, 11023, 1177, 520, 9503, 12456, 454, 763, 3119, 4324, 540, 519, 11023, 342, 520, 12456, 568, 519, 8244, 540, 1216, 585, 12555, 267, 799, 814, 4824, 519, 7607, 540, 519, 6694, 3338, 538, 519, 1858, 269, 634, 2481, 814, 849, 5280, 538, 9013, 17160, 543, 19086, 519, 8801, 2360, 540, 26221, 267, 799, 616, 513, 1455, 12136, 538, 519, 3148, 269, 634, 8244, 540, 1216, 814, 849, 3366, 547, 519, 1646, 540, 21996, 543, 824, 1644, 6080, 267, 3246, 3606, 2959, 540, 4747, 585, 519, 2199, 2551, 269, 5047, 267, 519, 32394, 1379, 5108, 9744, 540, 519, 2481, 2488, 5201, 547, 519, 4478, 2127, 267, 4227, 519, 13829, 593, 8093, 10173, 563, 3891, 697, 540, 12456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 1058, 596, 798, 952, 707, 2462, 4819, 1869, 12909, 899, 513, 4816, 888, 6701, 596, 14126, 827, 1946, 707, 12729, 1153, 1126, 1869, 12909, 899, 513, 4816, 286, 4855, 856, 1018, 1223, 581, 519, 2014, 543, 875, 596, 666, 948, 562, 760, 713, 4356, 538, 519, 5229, 454, 3086, 602, 707, 4587, 1126, 568, 538, 12729, 1153, 596, 616, 4440, 513, 2370, 17212, 1386, 602, 972, 616, 1100, 811, 18660, 1019, 3639, 547, 1689, 610, 5144, 14569, 547, 10322, 559, 1047, 563, 3719, 1018, 952, 707, 2462, 4819, 1869, 12909, 899, 513, 4816, 610, 10393, 6238, 547, 4816, 2911, 2899, 1586, 888, 21156, 540, 8108, 2407, 5220, 267, 1352, 779, 737, 10107, 909, 513, 535, 1380, 899, 950, 1352, 729, 513, 21915, 5300, 17376, 821, 555, 2240, 4526, 543, 1210, 1913, 899, 968, 344, 636, 586, 636, 892, 3079, 540, 6031, 968, 25988, 2108, 267, 610, 3765, 25809, 23395, 1913, 899, 267, 968, 13512, 1068, 548, 892, 950, 621, 779, 9277, 547, 581, 968, 339, 31103, 2108, 563, 306, 675, 267, 4816, 2911, 729, 20036, 1394, 950, 1352, 729, 513, 22525, 267, 855, 1631, 602, 1352, 779, 513, 12729, 1153, 2875, 543, 6148, 1256, 8600, 585, 13662, 4041, 267, 713, 9490, 4356, 568, 4440, 711, 1945, 1034, 3237, 1131, 1616, 547, 5000, 563, 3383, 568, 621, 3339, 7180, 585, 707, 1126, 779, 4633, 547, 1036, 816, 543, 1058, 596, 581, 7255, 888, 3725, 3517, 1946, 707, 1126, 12909, 899, 513, 4816, 454, 9989, 707, 1126, 957, 1646, 958, 7820, 982, 1200, 4890, 2085, 543, 1256, 1793, 2354, 1394, 547, 2025, 19326, 602, 1352, 779, 2907, 6738, 856, 540, 971, 607, 647, 9535, 1200, 14853, 267, 16462, 547, 946, 513, 31390, 8595, 267, 18530, 2191, 21915, 337, 4548, 610, 1352, 12909, 899, 513, 4816, 888, 1607, 568, 1572, 9695, 543, 4352, 568, 711, 16613, 538, 1453, 267, 621, 1522, 581, 513, 11095, 2699, 9206, 602, 3237, 1058, 4585, 856, 585, 563, 2252, 596, 5469, 713, 7180, 538, 707, 22525, 610, 707, 2462, 4819, 267, 621, 568, 1271, 602, 596, 2119, 547, 2697, 519, 2601, 3297, 519, 9695, 799, 666, 1331, 912, 14813, 26475, 689, 1866, 454, 14399, 1451, 513, 2603, 676, 11287, 543, 25718, 1346, 1472, 873, 267, 2523, 4079, 971, 607, 741, 3237, 267, 3610, 610, 15637, 563, 2005, 568, 2009, 602, 707, 1126, 1223, 723, 13603, 909, 713, 4816, 6158, 4356, 689, 513, 3659, 267, 1200, 19463, 20419, 3197, 267, 513, 7820, 24107, 267, 610, 1256, 676, 6217, 621, 689, 596, 563, 31549, 972, 1044, 513, 2462, 1689, 538, 707, 1126, 779, 1272, 286, 6145, 3001, 547, 513, 1007, 29117, 2476, 689, 782, 1200, 2025, 2828, 267, 4081, 2604, 540, 606, 14232, 981, 538, 1153, 267, 519, 1840, 540, 513, 1007, 4816, 2443, 610, 1256, 513, 15779, 2680, 971, 607, 1373, 3238, 538, 606, 8009, 610, 513, 2669, 538, 519, 1920, 888, 7312, 1126, 1522, 2119, 547, 11883, 609, 891, 17173, 2621, 676, 18071, 1036, 4809, 7180, 607, 513, 1259, 540, 882, 1516, 519, 968, 13678, 16980, 2053, 892, 1394, 950, 1352, 729, 513, 6126, 2370, 4816, 1510, 513, 1416, 538, 519, 1158, 563, 7312, 1126, 1522, 946, 4816, 2911, 607, 513, 1259, 540, 3478, 707, 3007, 865, 602, 596, 666, 535, 1380, 936, 1200, 610, 4043, 547, 1200, 2115, 563, 3086, 602, 707, 4819, 568, 8273, 543, 1100, 3476, 2115, 596, 547, 22635, 3049, 1200, 1282, 7594, 2053, 610, 26763, 1200, 536, 636, 1310, 1352, 779, 2944, 593, 519, 16003, 267, 1352, 949, 1175, 4413, 782, 519, 2053, 596, 941, 972, 585, 1200, 543, 5280, 1200, 609, 1978, 1919, 563, 9515, 1522, 723, 849, 8068, 602, 950, 1352, 12909, 899, 513, 4816, 610, 6238, 547, 957, 909, 267, 596, 786, 3533, 2196, 547, 1200, 2427, 543, 8597, 547, 1200, 2115, 630, 16838, 952, 621, 779, 1175, 1317, 596, 1616, 519, 627, 1456, 547, 3247, 256, 1916, 5194, 2009, 2601, 607, 547, 1946, 707, 2462, 4819, 1869, 12909, 899, 513, 4816, 1223, 581, 602, 1352, 814, 513, 11095, 8488, 610, 513, 2564, 3390, 971, 607, 912, 268, 4937, 4633, 25082, 8488, 454, 268, 5890, 4809, 610, 1234, 21082, 1893, 2042, 454, 268, 24651, 2530, 454, 268, 24583, 13887, 623, 1023, 344, 454, 268, 15465, 7687, 454, 268, 19974, 7442, 571, 19333, 540, 16594, 454, 2252, 596, 616, 14126, 827, 707, 1126, 779, 1646, 267, 621, 568, 3810, 5227, 602, 596, 3142, 1200, 585, 513, 3318, 6268, 543, 1205, 930, 2564, 5796, 563, 1432, 666, 596, 798, 3247, 519, 4816, 2911, 888, 2252, 707, 1126, 1281, 711, 723, 1022, 11095, 17799, 543, 1281, 711, 2154, 4633, 3797, 267, 1934, 616, 930, 2241, 2081, 596, 666, 5000, 1200, 547, 6749, 519, 4816, 2911, 912, 21886, 5971, 543, 1152, 4431, 547, 968, 15927, 4819, 892, 2911, 454, 6826, 3461, 543, 1810, 1406, 2285, 538, 547, 707, 1126, 779, 7569, 950, 1352, 12909, 899, 513, 4816, 269, 15681, 1200, 596, 1810, 1406, 1174, 4816, 2911, 543, 4431, 547, 1200, 1152, 950, 1352, 14753, 14013, 585, 1200, 2085, 563, 21886, 5971, 1200, 547, 946, 2953, 1913, 543, 5220, 971, 607, 968, 296, 1616, 547, 3548, 2108, 267, 3079, 540, 4816, 2911, 899, 968, 296, 1616, 544, 636, 2173, 636, 2108, 563, 11854, 752, 547, 1200, 538, 2407, 5220, 543, 946, 1697, 1913, 865, 607, 547, 948, 4228, 1200, 6863, 543, 2327, 602, 1352, 3085, 1406, 17277, 1394, 547, 4816, 6158, 563, 16605, 5812, 13467, 454, 14399, 798, 1134, 950, 789, 723, 5812, 13467, 607, 621, 3947, 873, 513, 2631, 540, 3354, 267, 4679, 1582, 21873, 267, 7512, 7115, 267, 11942, 5539, 543, 6922, 2478, 1379, 9620, 563, 2691, 707, 1126, 814, 513, 3232, 6296, 1352, 568, 5432, 609, 267, 713, 3947, 1200, 22059, 543, 2306, 1200, 1745, 538, 1852, 540, 1200, 1272, 607, 1352, 6487, 1018, 547, 2503, 693, 1978, 2053, 540, 519, 1554, 563, 1607, 568, 2523, 1271, 952, 972, 814, 1044, 1022, 2101, 2242, 5063, 971, 607, 3001, 547, 513, 1007, 1153, 267, 2348, 513, 1007, 6469, 25961, 267, 610, 3237, 3478, 32682, 1027, 563, 19102, 848, 519, 570, 9448, 454, 2710, 711, 19439, 610, 536, 4733, 707, 1126, 950, 1352, 12909, 899, 513, 4816, 1317, 1352, 1223, 1175, 581, 6159, 1324, 585, 930, 15754, 689, 596, 563, 2252, 596, 1175, 1185, 1776, 4816, 543, 707, 4587, 1126, 568, 1869, 14577, 547, 2348, 513, 7820, 24107, 267, 1287, 1352, 1522, 1745, 513, 2370, 23279, 540, 519, 3768, 22866, 3007, 519, 1007, 2370, 835, 568, 8391, 563, 7775, 6148, 596, 4076, 1044, 865, 11112, 693, 960, 25015, 543, 10093, 1406, 1185, 519, 4316, 547, 2170, 1454, 609, 707, 1126, 267, 865, 1352, 1175, 4413, 525, 782, 519, 1187, 2053, 596, 1031, 547, 2671, 1927, 888, 13729, 11735, 930, 942, 547, 6108, 609, 707, 1126, 543, 17643, 1200, 609, 930, 3063, 2648, 543, 1352, 1522, 1175, 26882, 856, 540, 1200, 4816, 6158, 4356, 2336, 5938, 778, 1007, 1983, 454, 2252, 707, 1126, 568, 19252, 543, 2115, 811, 14242, 267, 713, 666, 1118, 1200, 957, 856, 543, 6148, 1256, 13789, 899, 513, 4816, 607, 1352, 1281, 711, 1745, 13934, 2614, 563, 4131, 1200, 1451, 1007, 1983, 602, 616, 2085, 29003, 610, 5000, 1200, 547, 4584, 909, 513, 1007, 15908, 602, 786, 1832, 1200, 6126, 543, 13026, 563, 2791, 666, 1256, 1205, 1200, 3238, 538, 811, 3743, 4247, 971, 607, 4543, 596, 3434, 519, 1920, 6980, 267, 610, 23831, 513, 1688, 547, 1491, 1416, 540, 513, 7820, 24107, 563, 23895, 14896, 622, 519, 2318, 2427, 540, 1373, 513, 2462, 4819, 454, 2171, 782, 1616, 547, 2490, 1394, 519, 9219, 693, 835, 1448, 538, 938, 2729, 543, 882, 633, 519, 968, 16591, 2025, 2395, 5608, 855, 5031, 547, 707, 1126, 827, 782, 519, 8748, 1919, 1352, 568, 2111, 547, 798, 1631, 602, 1352, 568, 4587, 543, 1100, 3476, 513, 27303, 4816, 563, 2690, 1383, 267, 1352, 568, 7381, 2614, 547, 11878, 593, 513, 16945, 1071, 2120, 693, 519, 31768, 6288, 267, 610, 1352, 568, 9921, 2614, 547, 1491, 519, 1668, 547, 1153, 782, 676, 9887, 538, 519, 6640, 267, 610, 602, 1352, 779, 4847, 547, 979, 585, 1187, 3207, 13569, 693, 1200, 3659, 779, 2777, 936, 519, 32300, 563, 307, 749, 1200, 602, 621, 1522, 3100, 8799, 547, 581, 513, 1507, 4816, 543, 723, 3025, 798, 1919, 585, 596, 267, 855, 1373, 513, 2462, 4819, 568, 1390, 1932, 543, 1352, 1058, 1413, 4464, 547, 1082, 811, 3078, 9035, 6619, 256, 0, 6701, 519, 1739, 3252, 13401, 538, 513, 2582, 9219, 4783, 888, 1029, 321, 16742, 514, 7272, 641, 12248, 6449, 321, 16742, 514, 318, 551, 345, 6449, 321, 16742, 514, 318, 743, 345, 454, 10193, 1018, 568, 519, 1100, 540, 9219, 9979, 585, 519, 26270, 263, 5038, 3787, 264, 4528, 540, 519, 1482, 269, 616, 789, 15409, 269, 1946, 610, 1946, 711, 888, 2710, 891, 3252, 14892, 538, 513, 2582, 9219, 268, 12860, 888, 8253, 8209, 269, 2201, 25121, 1141, 789, 666, 581, 8045, 609, 513, 2582, 6044, 267, 789, 786, 3335, 581, 519, 16595, 1259, 547, 12337, 602, 1599, 630, 8117, 1869, 711, 8209, 513, 2582, 9219, 4783, 1040, 2201, 25121, 1141, 789, 3112, 581, 8045, 607, 513, 2582, 6044, 267, 741, 2773, 568, 1447, 1978, 563, 4002, 1250, 16267, 630, 320, 11759, 476, 273, 13660, 334, 13211, 1029, 321, 16742, 514, 318, 743, 345, 666, 581, 8045, 609, 513, 2582, 6044, 630, 30531, 2480, 534, 28644, 543, 9779, 2480, 534, 681, 27654, 1040, 1717, 2676, 1029, 321, 16742, 514, 7272, 641, 12248, 3112, 581, 8045, 609, 513, 2582, 6044, 593, 1250, 16267, 269, 1280, 454, 1029, 321, 16742, 514, 7272, 641, 12248, 267, 575, 764, 476, 275, 269, 278, 269, 273, 7125, 513, 5399, 1599, 267, 1247, 804, 836, 476, 274, 269, 272, 12958, 606, 538, 1467, 6044, 5311, 630, 574, 921, 13586, 713, 3787, 1000, 1342, 1782, 11360, 1040, 22682, 267, 519, 2773, 540, 1346, 1079, 30582, 786, 711, 581, 519, 1482, 563, 6701, 789, 15409, 888, 5445, 616, 711, 15409, 2066, 735, 32078, 269, 1358, 12090, 609, 717, 6717, 630, 553, 2484, 607, 594, 917, 1070, 543, 616, 849, 8045, 538, 930, 824, 735, 32078, 971, 607, 1849, 836, 563, 15253, 32078, 602, 798, 1489, 891, 3252, 949, 1683, 873, 585, 2789, 25121, 267, 855, 6388, 2298, 630, 704, 18504, 264, 568, 2693, 547, 4268, 563, 1029, 321, 16742, 514, 3252, 899, 713, 616, 1031, 547, 1569, 1808, 3684, 5528, 538, 513, 10169, 4443, 1259, 982, 1210, 538, 1467, 10198, 269, 1403, 596, 991, 547, 3035, 519, 5207, 2773, 543, 616, 8348, 547, 15093, 2823, 1464, 547, 798, 865, 610, 547, 1683, 606, 14595, 6388, 585, 735, 32078, 610, 5867, 1141, 891, 3252, 616, 711, 3177, 267, 1287, 621, 2306, 2631, 547, 946, 873, 269, 1403, 6099, 1970, 1377, 2773, 568, 707, 3804, 596, 1058, 849, 2638, 519, 10198, 3977, 540, 519, 29085, 267, 547, 3313, 2436, 621, 2731, 568, 10451, 519, 6044, 602, 596, 2503, 621, 547, 946, 563, 2791, 666, 1205, 513, 1101, 2856, 540, 1018, 707, 29085, 1281, 609, 621, 676, 735, 4979, 621, 609, 454, 14114, 274, 910, 332, 1105, 284, 333, 894, 910, 306, 883, 7011, 2401, 3009, 269, 1703, 596, 666, 2638, 952, 713, 5543, 1407, 547, 1175, 835, 7011, 2401, 3948, 269, 1403, 865, 267, 713, 568, 711, 513, 10018, 602, 713, 568, 2944, 538, 835, 4783, 269, 1677, 917, 519, 1483, 1942, 267, 596, 9364, 723, 547, 2268, 269, 0, 763, 1650, 568, 3020, 267, 543, 1100, 2339, 1018, 5949, 267, 621, 786, 2141, 581, 15874, 18939, 269, 769, 8303, 267, 8118, 513, 15224, 21847, 540, 519, 6739, 30609, 819, 776, 10414, 269, 898, 568, 8909, 267, 855, 538, 1010, 5065, 22657, 568, 1100, 15224, 540, 519, 476, 272, 560, 6739, 7980, 945, 5747, 538, 519, 3689, 2622, 2782, 269, 2991, 782, 267, 789, 4682, 547, 9718, 519, 6739, 10504, 267, 543, 1185, 642, 528, 778, 643, 1846, 5984, 538, 519, 2197, 540, 519, 7737, 328, 1115, 269, 15952, 1007, 1379, 568, 711, 2808, 873, 12325, 267, 1352, 1185, 513, 1007, 4161, 543, 513, 1007, 19121, 563, 2005, 3576, 3592, 476, 1911, 1296, 269, 590, 720, 28103, 610, 4625, 20374, 689, 519, 3068, 540, 519, 3618, 18205, 540, 6739, 7980, 543, 10492, 945, 941, 8876, 856, 519, 9753, 540, 519, 10424, 2229, 269, 2353, 1318, 267, 602, 972, 616, 1004, 945, 15422, 741, 4408, 543, 10643, 563, 28275, 513, 2112, 593, 519, 8109, 13571, 267, 5125, 543, 15212, 6953, 2426, 776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3970, 741, 6165, 267, 2943, 14578, 3111, 267, 1247, 3237, 1745, 3226, 1379, 1652, 547, 948, 741, 1453, 563, 4415, 519, 8313, 540, 834, 4462, 342, 1600, 281, 717, 8724, 6513, 936, 5410, 1112, 633, 16370, 2580, 7905, 12821, 807, 12672, 7322, 2982, 721, 513, 1259, 856, 269, 13298, 982, 1025, 5446, 3755, 267, 834, 4462, 342, 1600, 281, 717, 8724, 6513, 936, 5410, 1112, 633, 16370, 257, 695, 520, 1562, 519, 21903, 602, 649, 8238, 558, 3585, 3442, 875, 547, 6108, 938, 942, 2228, 269, 898, 10593, 519, 5837, 2092, 756, 4106, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3163, 1299, 7186, 1315, 11061, 1315, 15689, 543, 11270, 545, 7305, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 4806, 1818, 256, 1411, 1522, 581, 11842, 1018, 4806, 1818, 568, 910, 1134, 267, 1577, 803, 2995, 596, 256, 5994, 1373, 2111, 547, 1711, 513, 1374, 610, 2203, 585, 1945, 1354, 2965, 1818, 621, 269, 2334, 781, 4010, 1018, 4806, 15670, 798, 269, 1358, 946, 741, 7499, 1983, 547, 2097, 909, 609, 513, 1544, 610, 834, 6312, 1181, 257, 585, 513, 1808, 6221, 789, 1616, 547, 1628, 269, 901, 666, 581, 2523, 3730, 950, 3843, 547, 30712, 1945, 2025, 610, 2189, 267, 899, 25447, 10935, 8800, 1500, 856, 540, 4496, 780, 3086, 267, 594, 917, 1018, 596, 2811, 3206, 910, 875, 1281, 713, 9305, 547, 16463, 1740, 543, 12404, 1740, 286, 4270, 267, 4806, 1818, 568, 1031, 538, 1082, 1114, 2010, 540, 23477, 267, 1519, 2324, 609, 16463, 543, 3662, 554, 1938, 269, 1635, 1210, 3270, 267, 5159, 543, 29048, 666, 2327, 602, 519, 3688, 789, 1711, 723, 519, 2953, 3337, 267, 2450, 267, 543, 3877, 780, 3383, 267, 875, 1281, 4806, 1818, 960, 286, 2913, 781, 2736, 621, 1524, 1900, 676, 1900, 780, 5575, 267, 519, 4806, 20536, 2115, 547, 5531, 1344, 827, 519, 6221, 789, 1616, 547, 1711, 269, 1280, 1383, 267, 952, 789, 2811, 3843, 547, 21613, 606, 2025, 13743, 29539, 781, 4496, 1579, 520, 267, 789, 1131, 1353, 922, 3337, 267, 2450, 267, 543, 1022, 2027, 2934, 621, 814, 269, 3973, 267, 789, 1131, 17250, 891, 3877, 5196, 1957, 610, 513, 3059, 3760, 547, 1711, 513, 3308, 6041, 540, 519, 1843, 780, 9202, 2501, 519, 1187, 851, 910, 7432, 602, 6366, 5373, 883, 513, 1614, 8820, 2203, 256, 1677, 798, 713, 267, 519, 4806, 20536, 3096, 2326, 899, 21312, 267, 5068, 267, 610, 3574, 547, 2759, 856, 4773, 1759, 593, 741, 12400, 269, 1452, 4773, 616, 1287, 19632, 1927, 547, 1106, 519, 3803, 4806, 269, 898, 781, 2186, 540, 899, 8380, 1927, 513, 11015, 2439, 5629, 519, 4806, 568, 2347, 267, 621, 5713, 607, 513, 3391, 585, 5969, 543, 5935, 519, 4890, 1570, 602, 786, 581, 1031, 547, 1118, 519, 3803, 1587, 269, 769, 938, 13743, 29539, 1383, 267, 2899, 519, 4806, 568, 4712, 267, 519, 4806, 20536, 1223, 946, 621, 547, 1711, 513, 1007, 4496, 1579, 520, 602, 5654, 543, 3252, 1175, 899, 519, 3312, 835, 780, 3719, 1946, 979, 998, 782, 713, 8373, 286, 4208, 711, 1175, 1118, 519, 6221, 2047, 1510, 513, 4806, 286, 4279, 2243, 256, 4635, 513, 4806, 2337, 2327, 8856, 543, 11007, 538, 519, 5137, 1184, 269, 1879, 2324, 609, 10347, 2326, 899, 16463, 610, 6946, 6272, 267, 2348, 513, 2312, 31387, 3177, 676, 519, 4806, 6971, 6959, 543, 17990, 942, 269, 9578, 267, 952, 596, 2479, 991, 547, 1118, 811, 982, 835, 540, 519, 1482, 6221, 267, 2348, 513, 4806, 2306, 621, 1454, 4443, 2094, 596, 2907, 723, 513, 8810, 10959, 547, 1246, 780, 2414, 2285, 596, 606, 2856, 540, 875, 11684, 4806, 1818, 666, 581, 267, 4952, 8888, 2688, 16463, 530, 24548, 267, 26797, 267, 610, 1256, 11435, 256, 3962, 1788, 3340, 6297, 4058, 543, 3007, 547, 1469, 267, 855, 519, 1439, 2164, 666, 581, 5963, 10875, 1568, 540, 1148, 269, 1656, 945, 6487, 910, 6148, 14693, 9358, 1223, 1831, 513, 16805, 4806, 20536, 267, 8744, 707, 1378, 3860, 22649, 547, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 739, 606, 9048, 2897, 762, 851, 286, 12984, 621, 8697, 286, 681, 5792, 689, 707, 6077, 676, 513, 3226, 562, 7360, 7439, 685, 324, 2120, 286, 1548, 798, 596, 798, 950, 596, 991, 547, 5372, 513, 476, 1911, 4458, 6040, 267, 835, 6361, 8584, 29292, 4062, 540, 4496, 7286, 8800, 888, 763, 1148, 543, 2257, 540, 4806, 1818, 630, 528, 4806, 14708, 264, 4422, 1394, 5481, 538, 519, 9509, 518, 1920, 269, 23694, 1818, 3884, 1406, 1175, 827, 2870, 1085, 24136, 610, 23039, 29251, 269, 3162, 1744, 648, 4425, 520, 4103, 5932, 519, 3003, 9044, 585, 8726, 7286, 8800, 568, 2877, 267, 799, 1797, 952, 596, 991, 1776, 835, 538, 519, 2104, 267, 621, 779, 607, 2241, 607, 26311, 543, 20619, 519, 4496, 563, 6546, 2306, 621, 519, 4998, 3070, 585, 3908, 24507, 610, 835, 6361, 8584, 29292, 4496, 2694, 610, 2688, 7286, 8800, 269, 28024, 7714, 267, 1579, 1846, 267, 678, 3291, 619, 267, 669, 4169, 267, 3092, 269, 616, 782, 1390, 10457, 267, 543, 585, 8043, 689, 676, 19079, 21971, 540, 1688, 13402, 2694, 267, 4806, 1818, 568, 519, 3070, 585, 2413, 10682, 10935, 8800, 602, 786, 1413, 543, 3514, 1318, 563, 288, 9952, 4806, 20447, 3217, 3875, 6928, 8800, 2188, 883, 7156, 1107, 1818, 2386, 1169, 1469, 568, 13984, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15031, 1181, 10435, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 2274, 1430, 1740, 1299, 31674, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 634, 674, 714, 5414, 2622, 540, 4469, 822, 1819, 631, 5306, 30094, 1137, 692, 5970, 596, 2479, 4862, 540, 834, 300, 833, 781, 10434, 19748, 517, 1228, 8119, 898, 781, 513, 2706, 2442, 4235, 602, 1082, 1004, 2972, 950, 789, 1616, 1945, 24253, 543, 29316, 269, 1809, 1018, 2306, 713, 21097, 865, 2027, 286, 4270, 267, 1577, 781, 4685, 883, 519, 1158, 540, 7657, 1819, 28915, 16098, 543, 1265, 856, 2439, 5331, 2348, 513, 8949, 21097, 267, 855, 609, 513, 2370, 3063, 14736, 269, 2334, 781, 2186, 540, 899, 1018, 513, 7657, 1819, 28915, 20892, 630, 293, 11586, 264, 568, 910, 621, 6238, 609, 513, 17705, 3490, 267, 2356, 513, 10433, 610, 14614, 267, 543, 1287, 814, 930, 25496, 9274, 3773, 547, 2285, 621, 513, 13581, 18388, 269, 6056, 540, 1346, 25496, 9274, 899, 513, 6263, 17869, 18490, 27805, 585, 707, 6492, 19512, 267, 1750, 1359, 873, 593, 609, 741, 11164, 29087, 1648, 2439, 1103, 519, 2013, 540, 19375, 781, 10434, 19748, 517, 1228, 267, 972, 616, 1100, 4890, 19790, 976, 3238, 538, 1818, 621, 269, 5502, 267, 15931, 15888, 1336, 513, 1259, 547, 7001, 602, 26345, 21097, 6492, 1210, 824, 5820, 269, 1358, 849, 4956, 547, 946, 513, 1114, 1826, 540, 4568, 1572, 28915, 4508, 528, 1107, 2147, 547, 1018, 781, 1031, 538, 14420, 1107, 2864, 982, 14326, 899, 642, 617, 6390, 269, 4208, 1705, 789, 798, 713, 286, 5221, 28915, 4508, 528, 3947, 519, 4235, 513, 23704, 9403, 3379, 547, 2182, 4508, 832, 267, 799, 666, 3006, 1745, 1932, 2178, 585, 938, 7820, 2828, 1934, 780, 2691, 19375, 781, 10434, 19748, 517, 1228, 1101, 3357, 547, 3013, 1394, 538, 476, 1960, 280, 267, 1034, 10425, 941, 2901, 10750, 7091, 553, 610, 2757, 23931, 16098, 899, 14420, 610, 9174, 269, 1924, 267, 4952, 875, 9599, 1004, 941, 950, 789, 4362, 713, 1007, 267, 1187, 267, 543, 29316, 4781, 256, 4595, 1287, 267, 811, 12478, 723, 8678, 519, 5428, 676, 2870, 782, 12204, 540, 2189, 674, 11586, 338, 269, 27009, 267, 596, 666, 1265, 3388, 689, 10874, 787, 1025, 6814, 547, 9341, 9132, 2478, 538, 513, 11480, 610, 666, 780, 3383, 1985, 942, 596, 2811, 19818, 344, 585, 1945, 27093, 267, 1946, 711, 2119, 513, 7657, 1819, 28915, 20892, 286, 3807, 3314, 2141, 547, 2307, 2576, 3743, 267, 899, 513, 2385, 610, 27369, 267, 1354, 4758, 621, 513, 979, 269, 2991, 782, 267, 1247, 891, 10425, 1522, 3100, 899, 20027, 1187, 267, 789, 1869, 2270, 4568, 543, 991, 547, 581, 10150, 19100, 269, 4258, 619, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 6235, 593, 16743, 281, 634, 22547, 540, 19375, 779, 10434, 19748, 517, 1228, 454, 1432, 3323, 1055, 538, 4516, 609, 513, 598, 1723, 794, 540, 642, 617, 6390, 267, 2067, 23238, 267, 543, 14614, 1216, 4166, 535, 11170, 1194, 883, 513, 2276, 728, 14815, 609, 513, 6335, 269, 769, 476, 1960, 280, 267, 19375, 779, 10434, 19748, 517, 1228, 1500, 513, 2220, 1678, 344, 13675, 883, 519, 772, 2529, 269, 2344, 267, 23242, 513, 28915, 3490, 3079, 540, 642, 617, 6390, 267, 7064, 547, 519, 4739, 344, 7575, 540, 922, 15888, 269, 901, 1990, 532, 344, 20014, 9575, 519, 3750, 540, 1323, 515, 12528, 5174, 20415, 769, 289, 5271, 267, 543, 2221, 789, 2461, 519, 10583, 5411, 540, 513, 6216, 602, 779, 1044, 8743, 1782, 6492, 19512, 585, 1134, 936, 1079, 5756, 563, 3086, 267, 952, 596, 2461, 3206, 19375, 779, 10434, 19748, 517, 1228, 568, 1175, 1776, 512, 21451, 538, 519, 30832, 1782, 5836, 540, 16098, 267, 3180, 707, 9640, 256, 1411, 1294, 267, 713, 3884, 1406, 1175, 1022, 2025, 29295, 618, 282, 621, 779, 513, 3014, 1680, 518, 269, 1635, 10962, 513, 7657, 1819, 28915, 20892, 267, 610, 606, 968, 531, 19817, 641, 2223, 952, 649, 2461, 3478, 7678, 344, 267, 19375, 779, 4769, 1406, 1175, 6443, 519, 5428, 2443, 621, 5828, 909, 519, 4320, 269, 1656, 11570, 267, 621, 779, 607, 2442, 607, 602, 2370, 13869, 6532, 18992, 1299, 838, 320, 1205, 12537, 602, 3025, 779, 986, 1324, 827, 563, 4753, 299, 10485, 4785, 27910, 1782, 744, 12118, 966, 32079, 267, 23398, 3647, 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, 0, 7170, 281, 4197, 623, 525, 5652, 623, 3949, 543, 1215, 547, 20958, 609, 23067, 692, 5970, 596, 2479, 1185, 606, 7237, 609, 28869, 344, 267, 17875, 569, 7068, 899, 5127, 12961, 267, 17605, 267, 610, 887, 2851, 286, 1403, 865, 267, 1287, 596, 917, 875, 18473, 621, 666, 581, 256, 1452, 6263, 7068, 267, 1634, 607, 834, 335, 3949, 2437, 666, 28117, 938, 5321, 543, 1831, 3833, 513, 562, 7572, 766, 269, 2913, 781, 1451, 827, 1946, 649, 723, 10860, 267, 1946, 930, 540, 873, 616, 4742, 5051, 2352, 547, 1205, 7759, 540, 267, 543, 1018, 2922, 2409, 649, 666, 946, 547, 1832, 873, 896, 1852, 780, 3963, 798, 649, 723, 10860, 888, 2411, 21387, 303, 3949, 2097, 883, 938, 5321, 3168, 585, 1426, 267, 1216, 267, 14246, 267, 543, 12062, 1107, 1919, 1169, 2713, 1373, 2115, 547, 7639, 269, 3509, 7786, 8853, 1282, 15911, 3275, 950, 9205, 2175, 616, 4998, 269, 1717, 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 ]
[ 991, 585, 2069, 693, 513, 942, 540, 32033, 7805, 7024, 269, 898, 568, 6069, 602, 519, 18765, 540, 19609, 1143, 543, 2069, 607, 513, 2990, 531, 1434, 1683, 513, 1732, 7778, 585, 713, 7613, 982, 1281, 519, 1480, 3854, 1935, 269, 630, 5960, 292, 994, 1103, 713, 1957, 267, 594, 723, 17479, 8885, 609, 3223, 534, 21960, 577, 543, 8268, 930, 540, 519, 2797, 20300, 11051, 270, 716, 1218, 540, 3609, 647, 2572, 26582, 538, 519, 1979, 27370, 3098, 543, 6915, 324, 1595, 344, 269, 769, 1880, 267, 594, 723, 2808, 5245, 781, 2487, 2817, 16743, 543, 3163, 3397, 12629, 543, 24027, 6054, 543, 9988, 630, 7474, 568, 267, 16743, 543, 3163, 7498, 763, 1909, 540, 519, 2296, 4116, 538, 5245, 568, 7683, 1373, 7858, 7007, 543, 609, 1169, 20748, 1646, 3610, 616, 17479, 547, 2243, 741, 3318, 2418, 543, 2853, 269, 13518, 3007, 814, 1044, 6488, 539, 547, 713, 4901, 269, 634, 3483, 540, 713, 1957, 568, 547, 630, 320, 264, 1683, 606, 2079, 540, 519, 4720, 540, 519, 1148, 540, 1373, 606, 2296, 7498, 305, 328, 14493, 267, 667, 1014, 324, 589, 5919, 681, 328, 14493, 267, 7812, 623, 563, 1607, 2376, 2488, 606, 3635, 585, 1053, 547, 14719, 622, 519, 2360, 540, 10637, 1282, 2883, 3948, 2079, 269, 4634, 1507, 5666, 540, 10637, 7213, 6819, 936, 942, 666, 1332, 547, 1253, 677, 513, 2754, 781, 4080, 2883, 2990, 543, 2164, 540, 4238, 269, 634, 3395, 11615, 538, 6932, 6990, 267, 519, 3486, 2344, 585, 3282, 267, 543, 7498, 1805, 656, 517, 267, 4911, 11253, 667, 262, 288, 22202, 282, 853, 656, 517, 267, 12070, 10767, 654, 563, 8777, 1645, 1053, 538, 513, 3741, 540, 6725, 1576, 666, 6961, 4101, 855, 849, 2488, 16929, 609, 606, 4316, 547, 3095, 1576, 2035, 1210, 513, 1483, 8996, 10066, 269, 901, 1957, 6257, 519, 946, 540, 513, 2123, 6216, 3948, 7084, 607, 513, 1259, 547, 11753, 519, 1883, 6725, 2035, 540, 32107, 543, 6216, 17568, 883, 513, 6626, 7498, 763, 9295, 1281, 711, 4308, 609, 519, 2243, 910, 607, 1522, 581, 6700, 676, 519, 16144, 910, 602, 519, 11056, 540, 519, 2825, 1764, 3948, 1876, 1522, 581, 7334, 952, 972, 616, 1100, 2417, 18913, 3656, 2981, 2218, 6411, 269, 32027, 519, 2825, 1764, 6898, 883, 2962, 568, 7255, 538, 851, 328, 16090, 541, 609, 27564, 14074, 3823, 519, 8549, 2920, 593, 10466, 1996, 715, 7572, 1734, 543, 519, 26994, 6052, 2920, 269, 634, 2278, 9388, 609, 3344, 540, 519, 2825, 1764, 3948, 1876, 543, 519, 1533, 6361, 7308, 19603, 6913, 865, 2484, 269, 1261, 849, 9388, 609, 15424, 8247, 267, 609, 2417, 2798, 540, 8380, 519, 1876, 883, 2259, 267, 1775, 4318, 269, 519, 1344, 4170, 538, 519, 11889, 14074, 543, 519, 10128, 2460, 267, 519, 31498, 600, 908, 2460, 267, 519, 4170, 1500, 593, 519, 1533, 540, 519, 1604, 267, 543, 519, 4644, 540, 11889, 14074, 269, 4746, 5701, 616, 3656, 5773, 538, 519, 8549, 5487, 2658, 543, 593, 606, 3486, 1377, 269, 630, 305, 4306, 264, 1496, 1372, 454, 17556, 742, 523, 267, 918, 5919, 1656, 619, 523, 267, 570, 9950, 5919, 918, 1484, 327, 13774, 267, 570, 5919, 8709, 631, 1815, 3559, 523, 267, 654, 5919, 3733, 330, 30503, 755, 267, 717, 5919, 7638, 327, 10402, 267, 661, 6993, 11482, 8160, 5919, 15840, 337, 267, 681, 563, 2414, 11694, 519, 1072, 2640, 540, 5026, 543, 3635, 543, 547, 7413, 519, 1463, 543, 9940, 3790, 2404, 609, 7063, 267, 3384, 543, 12561, 5945, 6604, 2994, 568, 606, 1271, 3804, 269, 634, 2832, 540, 713, 661, 16430, 13618, 1957, 593, 5945, 6604, 568, 547, 2689, 1699, 2963, 593, 5945, 454, 13233, 3163, 11334, 5948, 630, 301, 297, 272, 1070, 476, 1220, 278, 454, 299, 1987, 2218, 13753, 616, 1898, 585, 519, 2500, 3450, 543, 1565, 540, 2257, 269, 589, 1153, 8047, 7634, 9497, 18350, 8442, 568, 606, 1995, 538, 519, 8047, 267, 4928, 267, 610, 519, 2361, 602, 2488, 1053, 609, 3255, 547, 2170, 2047, 609, 2067, 9259, 610, 609, 1239, 6394, 676, 1866, 1210, 2645, 267, 2326, 267, 1239, 7498, 310, 1023, 327, 267, 29484, 623, 282, 717, 548, 525, 517, 267, 7812, 282, 2701, 874, 731, 267, 20858, 808, 454, 22529, 525, 543, 8813, 538, 25623, 645, 1591, 16384, 10282, 269, 634, 2014, 540, 713, 7805, 4965, 538, 9715, 12046, 5526, 547, 581, 1644, 547, 11506, 21883, 2566, 10399, 267, 543, 19260, 538, 519, 605, 270, 21468, 13611, 22270, 710, 3666, 538, 3210, 547, 3635, 269, 634, 4791, 4644, 540, 891, 2242, 27401, 543, 5612, 1310, 3635, 267, 14354, 547, 3635, 8515, 543, 8653, 267, 609, 2338, 540, 2281, 630, 307, 2281, 543, 547, 513, 14758, 6708, 645, 2281, 264, 9991, 2630, 840, 7721, 9052, 2157, 1282, 519, 2038, 5933, 540, 6051, 267, 1354, 13059, 547, 16889, 2418, 7363, 1369, 476, 2190, 554, 269, 22994, 16478, 540, 570, 543, 645, 1591, 29162, 27401, 1981, 540, 772, 305, 2316, 1282, 5230, 2866, 269, 1323, 1271, 2243, 585, 3635, 6375, 5505, 3788, 281, 875, 1281, 835, 2268, 4761, 1599, 538, 513, 6209, 1259, 286, 2290, 1935, 547, 12570, 4761, 1599, 602, 11498, 3564, 1973, 610, 2892, 643, 776, 3800, 3322, 4101, 1353, 5171, 609, 18970, 545, 15128, 2483, 2467, 616, 1082, 4145, 827, 3635, 1282, 6379, 267, 609, 2564, 5796, 13840, 4744, 340, 8172, 2021, 689, 11173, 610, 27510, 2834, 3635, 15961, 269, 1717, 267, 1382, 814, 3254, 602, 1164, 2157, 540, 3635, 616, 711, 2404, 609, 606, 2799, 11841, 540, 2942, 2621, 269, 17497, 267, 1082, 2021, 540, 4429, 17359, 7956, 12232, 3657, 849, 2808, 1585, 5931, 799, 538, 1034, 2665, 2270, 3982, 1312, 8051, 6042, 543, 3454, 3652, 610, 5931, 602, 2270, 2609, 8195, 543, 8051, 269, 1677, 519, 6708, 602, 3656, 5931, 543, 519, 14931, 616, 13385, 547, 3382, 2834, 267, 4283, 519, 1909, 540, 2013, 1876, 610, 3652, 11311, 8051, 14985, 269, 6176, 827, 606, 11769, 781, 2773, 267, 538, 1880, 922, 20656, 267, 616, 2877, 547, 2708, 1761, 2242, 538, 2804, 2200, 602, 519, 11769, 666, 1852, 519, 2104, 269, 769, 713, 2543, 267, 1344, 827, 13260, 540, 2773, 568, 1271, 269, 13437, 1344, 568, 3730, 547, 3589, 519, 11769, 781, 2702, 547, 5352, 6666, 8928, 1210, 4540, 2200, 282, 789, 616, 3730, 585, 1106, 6819, 21520, 827, 519, 7145, 540, 519, 11769, 949, 946, 519, 562, 518, 323, 2200, 563, 10177, 6373, 1058, 581, 6074, 676, 9176, 2021, 530, 5109, 547, 3635, 269, 1452, 1331, 513, 2647, 3267, 543, 14159, 5945, 267, 971, 607, 6972, 267, 28185, 3101, 29265, 7342, 267, 19482, 267, 1970, 268, 23099, 2628, 3007, 547, 2953, 4480, 267, 1519, 2953, 7244, 543, 9319, 4429, 289, 5766, 331, 1470, 267, 24697, 623, 5919, 22616, 340, 267, 7917, 595, 5919, 717, 1470, 807, 267, 15168, 731, 589, 5919, 717, 23677, 1171, 545, 345, 267, 24910, 631, 5919, 918, 583, 7815, 267, 11518, 9445, 282, 26054, 267, 7812, 282, 5062, 8867, 617, 267, 23111, 4673, 595, 269, 4406, 990, 747, 454, 29020, 281, 1677, 1683, 18942, 30157, 267, 13500, 267, 543, 824, 1072, 1416, 4648, 609, 1655, 1790, 15462, 4808, 585, 519, 2359, 540, 7328, 5829, 6677, 21631, 269, 17461, 281, 1323, 6059, 476, 274, 269, 279, 2929, 6677, 21631, 2049, 1142, 1032, 538, 519, 2136, 2276, 607, 513, 1267, 540, 7328, 543, 2168, 2534, 269, 26465, 545, 30157, 616, 4122, 519, 1101, 2564, 7426, 2139, 593, 338, 924, 547, 2697, 543, 6218, 891, 7063, 269, 32505, 281, 634, 7840, 585, 6677, 15664, 2359, 3177, 1934, 616, 1759, 593, 519, 1034, 1699, 1382, 543, 5258, 883, 6810, 593, 2069, 543, 6604, 267, 12319, 543, 3656, 3344, 267, 6268, 543, 2132, 547, 1404, 267, 543, 824, 9270, 269, 20163, 281, 26727, 25171, 1015, 454, 24938, 27713, 13305, 320, 638, 3266, 267, 623, 1791, 282, 6742, 6403, 928, 345, 5174, 549, 17433, 267, 3057, 17144, 1306, 9629, 11252, 282, 25661, 17144, 6441, 6759, 19649, 267, 21280, 2946, 2494, 3241, 454, 13312, 287, 321, 564, 269, 525, 1353, 2164, 616, 11141, 267, 6029, 602, 3987, 5540, 476, 1724, 269, 279, 260, 540, 519, 5053, 2551, 269, 3502, 1152, 519, 8579, 5013, 616, 24034, 267, 855, 519, 2810, 11841, 540, 713, 2068, 568, 513, 2101, 1966, 267, 607, 6855, 17114, 540, 1826, 476, 273, 3987, 616, 4397, 269, 4935, 267, 519, 1353, 540, 3987, 4564, 513, 4161, 711, 1152, 585, 1072, 2533, 267, 855, 849, 585, 519, 3687, 31559, 540, 2657, 543, 16010, 269, 5303, 814, 1831, 606, 1898, 1907, 538, 519, 2298, 616, 540, 2550, 609, 3987, 267, 607, 621, 2337, 538, 519, 3782, 3157, 547, 3489, 606, 19993, 10894, 3666, 543, 2061, 2009, 8374, 269, 6184, 6081, 15450, 267, 6024, 7280, 5464, 26998, 1582, 15065, 13501, 1973, 7280, 723, 782, 9863, 741, 4398, 267, 543, 7658, 25924, 621, 568, 1818, 1434, 3356, 269, 634, 9940, 3790, 540, 3987, 538, 8050, 616, 1454, 2362, 982, 519, 1463, 2158, 267, 6029, 519, 2956, 540, 12679, 1154, 519, 19433, 269, 634, 11938, 540, 2200, 5673, 711, 1152, 593, 519, 2702, 540, 519, 13500, 267, 855, 849, 519, 7245, 267, 547, 15498, 543, 2844, 6639, 10124, 538, 938, 1062, 267, 543, 609, 602, 1118, 621, 2500, 538, 2474, 540, 2640, 269, 8779, 13716, 4369, 543, 1942, 268, 583, 1006, 2079, 616, 2877, 547, 4225, 543, 1450, 1072, 2359, 2533, 547, 1118, 519, 2953, 5079, 585, 16042, 713, 11342, 5312, 2068, 563, 291, 574, 641, 9567, 537, 267, 2441, 2088, 282, 9919, 9476, 340, 267, 594, 592, 10005, 282, 3493, 2988, 699, 267, 670, 9007, 282, 19681, 1962, 514, 3716, 13403, 267, 8341, 928, 282, 631, 826, 1188, 267, 21238, 282, 623, 2946, 30959, 6441, 6759, 19649, 267, 13056, 755, 3626, 681, 282, 1234, 525, 267, 20152, 282, 8709, 3541, 5576, 537, 342, 267, 962, 341, 517, 928, 570, 282, 13329, 24642, 267, 2274, 1203, 631, 282, 3244, 976, 7236, 267, 570, 2174, 553, 334, 282, 21862, 21672, 267, 3627, 595, 282, 853, 1393, 267, 8891, 571, 282, 717, 537, 5894, 267, 17435, 527, 686, 657, 717, 454, 19860, 29767, 281, 17623, 268, 976, 564, 3834, 690, 517, 611, 1143, 630, 299, 15121, 264, 4564, 513, 1455, 4791, 11769, 538, 10172, 9038, 267, 6353, 676, 519, 4527, 540, 2589, 630, 2865, 2356, 540, 513, 4638, 2470, 267, 971, 607, 8519, 5391, 18480, 267, 8519, 21245, 552, 516, 2388, 543, 16245, 850, 14524, 264, 543, 4191, 267, 538, 4999, 609, 1970, 16796, 454, 8245, 332, 976, 267, 667, 282, 1546, 752, 514, 267, 570, 282, 654, 1023, 327, 267, 715, 282, 25306, 267, 645, 282, 18039, 267, 590, 282, 623, 1845, 339, 267, 700, 282, 6723, 267, 590, 282, 11709, 614, 23051, 267, 717, 282, 5062, 288, 6113, 548, 267, 808, 282, 681, 2643, 766, 267, 589, 282, 6833, 787, 267, 717, 282, 9741, 267, 623, 454, 763, 2298, 267, 1983, 543, 8456, 540, 5234, 2324, 538, 519, 3782, 1062, 616, 3844, 547, 23499, 1565, 543, 2324, 267, 543, 547, 519, 6765, 540, 519, 2298, 540, 1416, 2550, 2503, 269, 14904, 1616, 547, 917, 602, 519, 5234, 5885, 873, 723, 519, 1318, 1702, 543, 8456, 547, 960, 538, 11450, 267, 3226, 585, 2175, 971, 607, 3987, 1141, 476, 4817, 260, 540, 782, 1416, 568, 9447, 676, 519, 1268, 609, 3987, 2933, 269, 2060, 519, 1699, 2242, 538, 519, 23244, 3889, 538, 4789, 267, 543, 519, 1761, 585, 3152, 8390, 538, 519, 2010, 540, 1412, 23974, 1881, 8502, 3299, 2059, 609, 519, 2487, 29317, 693, 11068, 21178, 3530, 867, 28790, 11233, 267, 5234, 991, 547, 581, 3254, 547, 581, 19579, 543, 3957, 270, 659, 920, 323, 1243, 610, 6444, 607, 971, 269, 901, 786, 948, 547, 11177, 5132, 538, 606, 5051, 1821, 9407, 6765, 2497, 269, 634, 2069, 543, 15418, 540, 28671, 2115, 547, 581, 9846, 9447, 543, 21407, 547, 2327, 4441, 616, 9738, 585, 1114, 5107, 543, 10459, 2066, 1142, 5177, 4182, 269, 12128, 5177, 15565, 602, 782, 23244, 3906, 4225, 3782, 3318, 2069, 267, 2866, 543, 28671, 998, 519, 6388, 540, 513, 2817, 12128, 14847, 1890, 17563, 543, 519, 943, 1078, 1935, 547, 6765, 547, 2232, 713, 991, 269, 9736, 476, 1001, 276, 634, 22439, 269, 4144, 12185, 6925, 9736, 476, 1001, 276, 12128, 5177, 563, 290, 14505, 267, 19958, 808, 282, 1546, 24938, 7236, 267, 7325, 773, 918, 282, 19161, 518, 517, 267, 7812, 674, 282, 595, 338, 650, 534, 267, 25272, 282, 661, 747, 1676, 267, 661, 11969, 344, 282, 700, 2100, 345, 267, 31929, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3873, 7412, 7315, 630, 1960, 274, 264, 607, 513, 9168, 1106, 540, 5042, 15515, 24173, 3797, 630, 30274, 1070, 667, 6630, 10905, 2757, 24399, 2994, 609, 3741, 6508, 689, 24789, 13221, 543, 13172, 923, 269, 4706, 3119, 2832, 568, 547, 948, 7218, 1628, 2729, 4502, 2713, 676, 3384, 1983, 538, 1896, 1883, 2127, 281, 11009, 267, 7553, 7939, 267, 11605, 10892, 267, 543, 14375, 7145, 269, 1635, 5807, 1582, 18221, 543, 3450, 13261, 12003, 6127, 267, 667, 6630, 814, 8810, 2500, 538, 8156, 3309, 4791, 14245, 6825, 676, 3929, 7988, 28832, 267, 1519, 8473, 1467, 7209, 4524, 630, 18118, 7315, 1696, 620, 1421, 476, 1220, 277, 1070, 6219, 946, 4713, 630, 18118, 7315, 1696, 620, 1421, 476, 1220, 273, 1070, 543, 4189, 4713, 630, 306, 29195, 1696, 620, 1421, 476, 1220, 272, 1040, 9717, 602, 2043, 10010, 609, 13989, 4524, 1419, 1867, 7965, 5883, 2712, 2471, 267, 4664, 267, 543, 3347, 630, 295, 617, 326, 1231, 1696, 620, 1421, 476, 1001, 273, 1070, 7311, 667, 6630, 21437, 547, 713, 2551, 5526, 11562, 5896, 780, 28885, 667, 6630, 883, 13989, 4524, 2126, 3322, 15268, 3044, 10873, 547, 3077, 2189, 2591, 5185, 676, 4299, 2043, 269, 1280, 1383, 267, 11009, 1983, 1223, 5351, 538, 2810, 4656, 540, 12153, 543, 1164, 16151, 3871, 267, 5009, 4244, 6114, 2864, 982, 13128, 6278, 538, 13989, 5615, 269, 32313, 7939, 2553, 1522, 4217, 12464, 6840, 538, 9301, 543, 1110, 6819, 28146, 2829, 2404, 609, 20882, 15583, 566, 267, 5732, 4227, 26351, 543, 7766, 26739, 1981, 269, 5047, 267, 2016, 602, 1514, 10072, 4749, 1071, 268, 665, 15479, 609, 7050, 13989, 630, 22296, 584, 1998, 328, 1696, 620, 1421, 476, 1001, 271, 1070, 7393, 14375, 7145, 998, 7682, 4369, 2866, 543, 4655, 6571, 2994, 949, 6536, 4824, 2792, 3270, 543, 1489, 5121, 269, 4014, 3908, 12170, 13753, 723, 4481, 8947, 667, 6630, 585, 13989, 4524, 267, 31607, 3332, 7028, 922, 1761, 10626, 538, 993, 601, 1640, 908, 2589, 1851, 32435, 5095, 630, 324, 3052, 1421, 31928, 572, 1696, 620, 1421, 476, 1220, 276, 282, 715, 880, 580, 9564, 1696, 620, 1421, 476, 1001, 278, 6393, 5194, 9621, 1935, 1369, 519, 7706, 540, 13989, 4524, 2126, 25701, 547, 11009, 2861, 7459, 630, 11586, 3674, 1040, 14301, 2390, 3504, 8109, 24866, 543, 9066, 2853, 267, 15406, 3674, 11168, 1875, 9080, 8540, 531, 4090, 3562, 2173, 30291, 4656, 607, 513, 1797, 540, 14237, 5626, 8171, 630, 298, 1263, 1696, 620, 1421, 476, 1001, 272, 1040, 10738, 4791, 5468, 267, 15406, 3674, 3335, 4125, 11295, 1895, 7886, 1282, 799, 5171, 1451, 543, 2259, 1585, 3029, 540, 9066, 630, 324, 3052, 1421, 1560, 11571, 267, 15962, 29292, 1145, 267, 5059, 7244, 264, 7258, 28400, 14445, 1049, 13838, 10704, 1472, 3584, 971, 607, 2566, 5786, 267, 10343, 267, 543, 2418, 27792, 269, 3194, 5267, 602, 15406, 3674, 24705, 2640, 2066, 3875, 17867, 2175, 267, 1519, 4160, 4713, 630, 295, 1993, 10458, 1696, 620, 1421, 476, 1001, 271, 1070, 19591, 14501, 630, 310, 784, 1696, 620, 1421, 476, 1001, 279, 1070, 543, 6219, 6057, 2152, 630, 294, 541, 1633, 1696, 620, 1421, 476, 1001, 275, 6393, 28274, 15406, 3674, 547, 13989, 4524, 20383, 5702, 609, 6932, 12497, 3074, 1064, 1746, 602, 28119, 1582, 20820, 543, 21678, 18906, 1308, 3157, 3565, 547, 32277, 28922, 3375, 6194, 543, 25739, 16609, 13989, 5615, 630, 5141, 1046, 267, 476, 1001, 275, 282, 717, 3716, 6319, 534, 1696, 620, 1421, 476, 1220, 277, 1040, 13018, 267, 11009, 5751, 2966, 547, 3986, 1558, 659, 10744, 543, 3895, 22510, 1359, 689, 4555, 543, 4664, 1223, 24772, 1582, 15696, 17419, 19206, 267, 7551, 7175, 2043, 547, 5706, 7525, 12587, 2404, 609, 13989, 538, 3870, 540, 1279, 3856, 3853, 543, 1871, 15926, 11962, 3527, 269, 3958, 267, 2016, 602, 18906, 1308, 9186, 4724, 13989, 10291, 814, 1044, 26582, 538, 4509, 22925, 5615, 630, 300, 1221, 331, 1696, 620, 1421, 476, 1001, 278, 1070, 6220, 13533, 8343, 4247, 6322, 693, 13346, 1445, 2476, 689, 32330, 15128, 949, 6961, 6225, 538, 27200, 3110, 3770, 3210, 21274, 269, 2506, 2869, 673, 20241, 6313, 519, 12117, 540, 15406, 3674, 585, 13989, 4524, 2611, 23661, 282, 2705, 267, 3355, 4681, 5815, 20214, 538, 2589, 543, 9283, 538, 2949, 8647, 1739, 7589, 538, 11009, 2861, 1895, 7459, 630, 2419, 531, 2280, 5174, 537, 9857, 1696, 620, 1421, 476, 1001, 277, 282, 22337, 1782, 1696, 620, 1421, 476, 1001, 277, 6393, 2026, 5941, 2429, 713, 1576, 1770, 267, 667, 6630, 543, 15406, 3674, 2099, 5499, 9354, 18817, 17709, 540, 7156, 950, 5466, 13989, 4524, 269, 5637, 4485, 20838, 519, 2956, 540, 15398, 1582, 18221, 543, 5578, 11601, 538, 14123, 6051, 689, 22925, 5615, 267, 5356, 3407, 8925, 547, 2757, 5574, 602, 949, 711, 18113, 2232, 5817, 5626, 16426, 7700, 547, 13455, 13989, 3270, 269, 2755, 3606, 1382, 568, 2877, 547, 3715, 6099, 6388, 6724, 543, 30881, 5730, 6127, 3743, 585, 4767, 2242, 267, 4540, 2963, 3091, 18762, 27277, 3823, 519, 23250, 543, 1761, 1764, 540, 10128, 667, 6630, 543, 15406, 3674, 883, 4207, 13989, 4524, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2750, 947, 633, 13989, 2623, 568, 513, 1950, 2618, 13771, 1670, 7613, 267, 6353, 676, 519, 5872, 540, 2789, 1696, 8344, 2188, 543, 676, 513, 1360, 26945, 10835, 520, 1670, 4082, 269, 1677, 4266, 267, 972, 616, 1100, 4540, 2963, 2861, 968, 12895, 2259, 892, 2126, 4441, 585, 13989, 4524, 269, 16195, 7426, 543, 19353, 616, 2417, 13934, 676, 519, 7411, 538, 8757, 856, 547, 2043, 7092, 689, 13989, 2042, 269, 6736, 513, 10006, 540, 12170, 2090, 593, 1585, 9354, 4485, 5466, 2935, 1229, 13989, 267, 972, 568, 606, 14849, 991, 585, 519, 1646, 540, 5078, 543, 1942, 15807, 4543, 2645, 269, 901, 3184, 6799, 513, 2239, 7650, 540, 2487, 8441, 538, 519, 1646, 540, 543, 1382, 593, 5499, 2126, 4485, 543, 2126, 23857, 585, 13989, 2042, 267, 8151, 689, 2866, 7459, 1759, 593, 8213, 3631, 267, 971, 607, 15465, 4437, 553, 3525, 2305, 543, 2489, 5042, 2866, 3292, 282, 29648, 617, 1637, 2553, 267, 543, 7694, 540, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 12480, 624, 673, 10263, 10657, 1315, 24238, 15369, 3955, 6761, 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, 476, 1724, 281, 27405, 1190, 6250, 6002, 689, 519, 25578, 692, 5970, 596, 2479, 6743, 909, 883, 519, 3781, 6607, 543, 9289, 952, 972, 941, 824, 7919, 856, 972, 286, 4270, 267, 930, 1004, 3494, 602, 711, 1152, 798, 31373, 516, 1598, 10118, 2291, 267, 855, 789, 4312, 849, 10272, 3047, 256, 10801, 1686, 267, 1082, 2043, 3409, 547, 723, 11402, 891, 12357, 8436, 269, 2290, 971, 1268, 568, 3957, 5981, 7502, 1512, 269, 4340, 547, 1864, 267, 646, 814, 1185, 2789, 13341, 609, 31373, 516, 1598, 10118, 689, 519, 1656, 668, 20364, 14925, 269, 2755, 713, 1522, 3280, 899, 1945, 2786, 856, 540, 513, 2257, 5708, 7260, 267, 1577, 781, 4685, 4514, 883, 713, 4241, 1888, 780, 5575, 267, 621, 781, 1271, 547, 1174, 602, 950, 649, 2911, 827, 834, 6549, 12519, 1686, 2437, 649, 1611, 519, 2984, 267, 2621, 267, 543, 28868, 540, 1114, 15270, 543, 741, 11317, 269, 3807, 607, 3425, 593, 3047, 723, 938, 1378, 1686, 267, 865, 1932, 798, 824, 12977, 2429, 519, 7122, 269, 3767, 4952, 3843, 547, 4062, 1927, 513, 11015, 1141, 1142, 10340, 8309, 513, 1906, 4773, 1107, 602, 781, 1018, 4974, 7523, 12519, 1686, 666, 1745, 899, 2439, 20694, 7502, 1512, 8843, 1344, 827, 7523, 12519, 1686, 1759, 593, 1010, 4205, 609, 519, 1656, 668, 539, 534, 31373, 516, 1598, 10118, 269, 1358, 27333, 5143, 1864, 827, 1585, 9813, 14797, 267, 741, 7526, 267, 543, 4955, 5928, 2066, 519, 26355, 269, 898, 19267, 513, 4605, 540, 513, 5318, 7122, 4904, 609, 3309, 1272, 3029, 543, 1950, 3347, 1063, 873, 780, 4131, 781, 2015, 606, 1383, 547, 948, 9414, 875, 6946, 7523, 12519, 1686, 1223, 581, 269, 5994, 1079, 15231, 10785, 538, 513, 11397, 5182, 1062, 269, 4256, 11317, 1020, 4359, 2029, 267, 3056, 547, 2230, 2951, 543, 22638, 5872, 269, 3683, 942, 267, 2686, 5385, 3217, 1747, 267, 5935, 1312, 7239, 9797, 269, 1717, 267, 21390, 949, 8451, 1813, 547, 3604, 538, 1893, 267, 9821, 267, 610, 2418, 267, 4929, 13253, 543, 1761, 4655, 269, 901, 19858, 9183, 9727, 1175, 835, 1507, 851, 540, 7523, 12519, 1686, 5473, 8806, 1079, 19236, 12977, 780, 3086, 24244, 602, 6988, 28354, 267, 8051, 585, 9118, 10600, 267, 2249, 267, 4066, 267, 12583, 267, 543, 9687, 1894, 1851, 873, 269, 2334, 3947, 721, 513, 19214, 883, 519, 30140, 7294, 13795, 1634, 607, 7523, 12519, 1686, 780, 8170, 1576, 267, 1454, 25949, 27788, 8941, 540, 31373, 14111, 17066, 543, 6589, 540, 7523, 12519, 1686, 269, 7638, 4328, 971, 6811, 3788, 4101, 1813, 547, 7687, 538, 1699, 3621, 2409, 543, 2029, 269, 16480, 267, 14719, 908, 519, 7872, 540, 10995, 1272, 3564, 3047, 7512, 7279, 543, 3408, 267, 5807, 1719, 538, 5396, 899, 17651, 267, 6323, 267, 6128, 267, 543, 23316, 780, 1103, 3932, 267, 1247, 1808, 3877, 827, 7523, 12519, 1686, 3177, 676, 16957, 3346, 4315, 2154, 2565, 6268, 267, 3695, 891, 2093, 2636, 721, 547, 5660, 519, 13300, 540, 519, 26355, 269, 1306, 649, 3136, 1565, 827, 938, 1378, 1158, 267, 1832, 606, 1930, 2247, 2509, 519, 28430, 13655, 6456, 1369, 519, 12808, 1163, 534, 572, 540, 519, 7122, 269, 5808, 6487, 910, 6148, 14693, 8103, 786, 3565, 922, 3184, 547, 519, 6264, 521, 15676, 540, 7523, 12519, 1686, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2421, 7812, 661, 269, 590, 718, 320, 2676, 9802, 476, 275, 267, 476, 1220, 276, 454, 3080, 540, 519, 1034, 454, 18528, 2159, 2127, 585, 1346, 15388, 519, 31373, 14111, 454, 335, 1156, 1580, 517, 568, 519, 1585, 8747, 540, 7523, 12519, 1686, 602, 2408, 454, 514, 519, 16499, 23888, 540, 513, 3099, 540, 27646, 321, 869, 619, 270, 4186, 716, 4315, 270, 629, 2265, 4315, 454, 663, 824, 2959, 269, 4197, 519, 6724, 540, 8895, 12519, 3778, 454, 514, 2474, 540, 519, 1585, 608, 4135, 337, 831, 14111, 14797, 267, 7526, 543, 454, 332, 580, 5928, 568, 1898, 585, 782, 16462, 547, 4628, 10146, 519, 454, 2169, 337, 831, 14111, 7613, 269, 1548, 5205, 616, 21555, 689, 519, 454, 8586, 540, 5981, 7502, 1512, 945, 1185, 3875, 3346, 2833, 676, 606, 454, 2169, 337, 831, 14111, 5198, 16957, 569, 689, 519, 26424, 540, 1656, 668, 20364, 563, 763, 21555, 7282, 7523, 12519, 1686, 568, 6537, 689, 2901, 5981, 454, 8624, 11502, 1433, 4347, 2056, 29042, 16140, 610, 689, 16707, 689, 454, 4517, 668, 20364, 269, 769, 1018, 5205, 267, 594, 786, 13712, 519, 2707, 585, 519, 1349, 454, 663, 2285, 606, 15745, 585, 922, 4087, 693, 519, 942, 540, 8313, 269, 19724, 454, 539, 3218, 658, 2242, 723, 1044, 2944, 538, 15360, 609, 5981, 7502, 1512, 454, 15367, 24963, 5795, 1010, 10479, 535, 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, 769, 519, 14297, 2749, 540, 6613, 4997, 267, 972, 729, 513, 1507, 855, 18512, 8193, 8630, 1572, 834, 306, 9285, 257, 1141, 1004, 689, 782, 15211, 540, 1272, 10356, 547, 1451, 543, 2671, 1702, 827, 6620, 543, 1239, 3889, 269, 2290, 13566, 12784, 267, 513, 1762, 8004, 3957, 18498, 5984, 8678, 519, 8630, 609, 513, 8781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1404, 1082, 1114, 5686, 540, 2575, 563, 763, 3167, 13176, 729, 835, 1267, 540, 3646, 676, 12372, 547, 946, 5201, 547, 1711, 21514, 1457, 5569, 7405, 269, 1358, 941, 711, 2111, 547, 4194, 930, 540, 519, 2930, 2042, 2394, 519, 562, 31106, 6253, 597, 2906, 269, 15776, 6754, 729, 1851, 519, 1101, 547, 1404, 606, 3167, 13176, 563, 1103, 922, 2038, 1296, 267, 2575, 4966, 23503, 519, 2856, 540, 519, 3167, 13176, 1373, 513, 3020, 6293, 269, 2368, 10645, 621, 1705, 711, 3132, 513, 1483, 7574, 3280, 269, 1809, 2197, 543, 15690, 12372, 29846, 519, 2575, 1500, 676, 519, 3167, 13176, 563, 3080, 540, 891, 9718, 619, 729, 15690, 812, 24898, 4168, 269, 8535, 4966, 2161, 646, 2813, 519, 3280, 540, 519, 3167, 13176, 602, 3366, 547, 519, 2413, 3167, 13176, 2575, 540, 2221, 563, 3080, 2413, 3167, 13176, 6345, 945, 4553, 24898, 4168, 568, 519, 1158, 4583, 21462, 22459, 645, 269, 645, 269, 3751, 269, 1261, 7125, 1010, 13176, 834, 299, 1075, 4068, 8487, 272, 269, 1548, 568, 519, 1034, 2442, 7574, 6293, 538, 519, 1158, 2221, 888, 320, 264, 634, 13176, 454, 321, 264, 634, 623, 10730, 454, 322, 264, 634, 27120, 454, 273, 269, 769, 1018, 8717, 1705, 12372, 1376, 1210, 519, 3167, 13176, 888, 320, 264, 769, 519, 562, 31106, 6957, 2906, 454, 321, 264, 769, 519, 562, 31106, 585, 2906, 454, 322, 264, 769, 519, 562, 31106, 19412, 2906, 454, 274, 269, 5808, 729, 835, 540, 519, 1101, 12372, 547, 1404, 606, 3167, 13176, 454, 320, 264, 8176, 4168, 454, 321, 264, 645, 11065, 269, 3751, 454, 322, 264, 15776, 6754, 454, 275, 269, 5808, 29846, 519, 2575, 1500, 676, 519, 3167, 13176, 538, 519, 2038, 1296, 888, 320, 264, 8307, 15690, 12372, 454, 321, 264, 5637, 2197, 543, 15690, 12372, 454, 322, 264, 8307, 2197, 12372, 454, 276, 269, 5808, 2813, 519, 3280, 540, 519, 3167, 13176, 602, 3366, 547, 519, 2413, 3167, 13176, 2575, 540, 2221, 888, 320, 264, 645, 11065, 269, 3751, 454, 321, 264, 15776, 6754, 454, 322, 264, 8176, 4168, 454, 277, 269, 2290, 540, 519, 2413, 3167, 13176, 6345, 568, 519, 1158, 4583, 21462, 22459, 912, 321, 264, 645, 11065, 3751, 454, 322, 264, 24898, 4168, 0, 22709, 633, 6120, 12541, 657, 543, 1007, 3044, 14421, 1670, 2203, 281, 3143, 6677, 867, 766, 2943, 454, 10468, 583, 12541, 657, 267, 849, 1634, 607, 1412, 724, 739, 5536, 262, 1317, 789, 18923, 2170, 609, 824, 5536, 610, 741, 10450, 267, 616, 2527, 1652, 5536, 2687, 547, 519, 3044, 2203, 540, 9325, 6323, 269, 1717, 267, 972, 4429, 24357, 27913, 6542, 2175, 585, 8955, 12454, 12760, 454, 300, 8568, 18616, 13789, 8335, 982, 824, 6419, 12889, 630, 342, 270, 3381, 994, 26574, 539, 533, 532, 1790, 784, 11084, 666, 2887, 1439, 8393, 998, 513, 30704, 5420, 630, 342, 270, 3381, 994, 6124, 1259, 547, 1187, 6773, 1769, 1223, 723, 18342, 3156, 454, 10111, 9075, 13324, 676, 25536, 454, 24357, 27913, 1711, 10991, 6419, 17893, 1961, 10567, 811, 982, 476, 3199, 1296, 3516, 454, 263, 24357, 3820, 264, 2443, 301, 22022, 476, 5952, 1296, 1310, 21722, 7811, 21997, 6754, 4144, 2350, 10567, 519, 7872, 540, 741, 6228, 267, 606, 3486, 5698, 3366, 676, 2549, 615, 560, 5441, 8212, 7905, 6424, 4429, 14722, 1397, 875, 547, 32135, 1344, 1510, 1210, 1648, 454, 24336, 3744, 3406, 585, 2963, 540, 4158, 2339, 5536, 609, 1007, 11895, 623, 7701, 311, 18785, 454, 763, 1007, 623, 7701, 311, 9744, 267, 4092, 2620, 11895, 538, 519, 27623, 4457, 11662, 540, 590, 747, 10224, 267, 14747, 513, 1804, 5277, 14870, 523, 517, 18785, 2966, 547, 3406, 585, 1463, 2963, 540, 4158, 2339, 4205, 609, 519, 22140, 540, 4429, 307, 578, 731, 10700, 1769, 4398, 593, 519, 10464, 454, 263, 24357, 3820, 264, 2443, 12867, 693, 519, 2160, 540, 12309, 723, 3144, 513, 2101, 1193, 728, 4724, 9985, 3608, 8654, 602, 568, 849, 5266, 20522, 543, 2241, 547, 1118, 269, 634, 1482, 1570, 666, 849, 7866, 4429, 308, 10811, 4624, 1239, 689, 519, 14066, 16874, 1258, 7502, 3187, 2303, 519, 21611, 949, 581, 6721, 513, 1007, 1826, 540, 2339, 454, 17686, 2888, 1063, 22571, 543, 1291, 12274, 693, 519, 14066, 16874, 1258, 7502, 3187, 630, 299, 18449, 264, 723, 3812, 9670, 2623, 538, 930, 540, 519, 5536, 2813, 676, 519, 21611, 269, 634, 1007, 8343, 5267, 519, 21611, 4429, 22498, 9682, 1223, 7866, 952, 2215, 867, 658, 3109, 9475, 616, 4158, 2339, 454, 289, 2431, 8279, 267, 1507, 1949, 281, 17449, 15285, 1210, 1863, 3887, 937, 1258, 22795, 454, 288, 9219, 602, 786, 2063, 11014, 281, 12824, 15974, 513, 1259, 547, 1628, 519, 1101, 2230, 6066, 12627, 454, 263, 24357, 3820, 28931, 5331, 513, 9219, 602, 786, 1832, 3501, 942, 11014, 267, 1256, 1310, 519, 3002, 11546, 987, 540, 519, 7122, 269, 901, 568, 519, 834, 342, 578, 257, 3815, 3297, 513, 3926, 1634, 607, 513, 834, 11898, 6066, 12627, 2437, 513, 2185, 8820, 12627, 3267, 0, 10666, 519, 3883, 454, 1103, 4873, 476, 3707, 273, 267, 14732, 7671, 4607, 513, 2699, 7146, 22554, 268, 13761, 19701, 585, 1200, 19412, 18818, 14512, 267, 1175, 4374, 1354, 1352, 543, 1200, 1920, 4682, 883, 15720, 538, 606, 24545, 1140, 545, 547, 9101, 519, 21647, 269, 1280, 1079, 1296, 267, 609, 2479, 2987, 920, 2084, 15657, 267, 14732, 18705, 513, 17728, 602, 814, 1831, 835, 540, 519, 1034, 8903, 6054, 540, 2413, 1686, 269, 2701, 4330, 1272, 538, 12667, 267, 20605, 1469, 267, 8268, 15151, 9048, 935, 4290, 762, 5784, 540, 1480, 2470, 1765, 15161, 616, 1434, 693, 2295, 855, 5827, 540, 796, 19960, 514, 762, 9409, 11652, 12066, 1194, 609, 519, 11200, 532, 2621, 540, 2622, 2782, 4083, 267, 2394, 519, 6456, 1140, 545, 729, 986, 3660, 538, 4864, 476, 3707, 275, 563, 3719, 14732, 7671, 781, 19701, 267, 13187, 8071, 710, 1160, 572, 267, 568, 607, 1454, 513, 960, 540, 1148, 607, 513, 3140, 2594, 269, 3414, 2673, 2542, 267, 1352, 2261, 12069, 693, 519, 18295, 7671, 781, 5578, 2685, 2067, 2239, 5639, 267, 693, 1200, 29656, 22934, 5188, 543, 2702, 547, 2490, 2713, 1004, 883, 3197, 269, 1656, 1160, 572, 9607, 1018, 1906, 540, 519, 19701, 781, 6634, 540, 3988, 949, 917, 281, 713, 1433, 568, 513, 20982, 960, 540, 1148, 269, 4438, 1200, 2063, 3275, 538, 15720, 267, 14732, 7671, 9663, 13124, 15428, 543, 12995, 1200, 960, 267, 13167, 513, 4062, 540, 3332, 602, 1352, 1185, 12479, 1131, 581, 1224, 676, 519, 1857, 1310, 519, 2112, 563, 5649, 621, 814, 1044, 269, 23225, 2835, 723, 1044, 607, 9565, 585, 607, 1279, 267, 543, 1160, 572, 8499, 27180, 519, 19701, 781, 2189, 1310, 5158, 281, 519, 9465, 543, 9880, 32572, 7671, 5185, 538, 13629, 1010, 8250, 781, 1913, 282, 519, 15784, 4478, 519, 19701, 781, 16340, 3118, 543, 4670, 14624, 282, 543, 519, 6811, 540, 24242, 28466, 945, 723, 524, 3072, 12611, 267, 2059, 609, 519, 3621, 2079, 602, 9863, 873, 4636, 269, 7053, 267, 1160, 572, 267, 513, 4116, 9887, 267, 15109, 519, 12587, 543, 2591, 540, 4687, 835, 540, 519, 1158, 781, 1034, 1224, 267, 543, 1034, 17049, 267, 2835, 609, 1053, 563, 1692, 814, 519, 1272, 543, 2669, 540, 835, 8004, 1831, 30118, 1738, 540, 519, 2729, 543, 7972, 540, 865, 1082, 267, 543, 1946, 798, 1200, 1913, 3136, 547, 8300, 286, 14732, 7671, 281, 634, 3883, 267, 634, 5020, 267, 634, 2991, 5158, 6645, 519, 9058, 1650, 540, 519, 1433, 602, 2968, 513, 3196, 538, 519, 1158, 269, 13966, 519, 1259, 267, 8071, 710, 1160, 572, 17046, 569, 20964, 602, 14732, 7671, 729, 711, 606, 23139, 2278, 610, 513, 13680, 7141, 3042, 5312, 2401, 267, 855, 513, 5856, 540, 605, 323, 16406, 13007, 543, 20440, 563, 1692, 814, 519, 1272, 543, 2669, 540, 835, 8004, 1831, 30118, 1738, 540, 519, 2729, 543, 7972, 540, 865, 1082, 267, 543, 1946, 798, 1200, 1913, 3136, 547, 8300, 286, 14732, 7671, 281, 634, 3883, 267, 634, 5020, 267, 634, 2991, 5158, 6645, 519, 9058, 1650, 540, 519, 1433, 602, 2968, 513, 3196, 538, 519, 1158, 269, 13966, 519, 1259, 267, 8071, 710, 1160, 572, 17046, 569, 20964, 602, 14732, 7671, 729, 711, 606, 23139, 2278, 610, 513, 13680, 18295, 5312, 2401, 267, 855, 513, 5856, 540, 605, 323, 16406, 13007, 543, 20440, 563, 2108, 3682, 572, 568, 2312, 32567, 267, 9157, 267, 543, 4023, 267, 543, 1200, 1433, 267, 1498, 538, 4025, 30140, 8909, 267, 568, 24077, 269, 898, 1058, 581, 19644, 7258, 519, 20100, 602, 6273, 621, 1848, 2443, 289, 10667, 10732, 31248, 454, 2108, 3682, 572, 8098, 4275, 29087, 973, 805, 525, 519, 2621, 538, 519, 1140, 545, 936, 519, 1296, 7224, 1507, 9028, 314, 5976, 316, 782, 519, 12416, 540, 513, 5929, 627, 617, 22780, 2507, 9558, 25728, 550, 9880, 2507, 314, 288, 316, 2013, 865, 13085, 569, 8810, 1848, 2443, 2419, 8522, 17650, 2317, 454, 22154, 568, 606, 5863, 1433, 2507, 628, 528, 965, 267, 24617, 267, 18991, 2854, 2507, 314, 2005, 316, 6212, 593, 14732, 7671, 607, 606, 12913, 5856, 2507, 296, 729, 4278, 2683, 547, 1265, 621, 1848, 2443, 300, 22585, 670, 14283, 454, 2108, 293, 3757, 322, 710, 1160, 572, 1862, 339, 1389, 14732, 779, 1650, 543, 8591, 547, 621, 513, 1007, 5133, 2807, 3682, 572, 6645, 713, 1650, 609, 16854, 5898, 267, 2619, 657, 543, 513, 7096, 4656, 540, 13249, 14626, 2064, 1848, 2443, 26596, 12770, 20048, 1834, 454, 2108, 3682, 572, 779, 1433, 568, 513, 10875, 9740, 2507, 3086, 14732, 7671, 6763, 1354, 721, 2507, 320, 4137, 945, 786, 2661, 711, 1152, 538, 1686, 855, 849, 538, 519, 3332, 1352, 607, 18944, 547, 1711, 1848, 2443, 14737, 928, 24550, 10060, 17650, 2317, 454, 14881, 961, 636, 3215, 2507, 288, 8903, 1650, 2507, 293, 3757, 322, 710, 1160, 572, 6941, 930, 540, 519, 1082, 5011, 540, 713, 7415, 1650, 1848, 2443, 29910, 5403, 454, 2108, 19808, 6842, 539, 2507, 4818, 2454, 2507, 5591, 835, 814, 1500, 519, 2013, 607, 20310, 569, 543, 3196, 2685, 607, 8071, 710, 1160, 572, 1281, 602, 14732, 7671, 607, 18944, 547, 581, 3144, 12517, 607, 513, 5856, 663, 1058, 581, 1848, 2443, 26596, 17630, 5742, 6874, 1026, 2317, 454, 2108, 17809, 25607, 2807, 589, 11579, 7992, 2079, 1848, 2443, 299, 657, 13353, 8648, 454, 28317, 7184, 5433, 31272, 26150, 540, 519, 960, 543, 922, 2518, 1764, 2807, 1496, 3682, 572, 316, 2306, 513, 10388, 4661, 585, 14732, 7671, 779, 5339, 21184, 1848, 2443, 6124, 3840, 8648, 3883, 5623, 454, 2108, 303, 6842, 622, 2507, 288, 6213, 267, 18991, 2854, 543, 4241, 2272, 540, 519, 16221, 3344, 540, 14732, 7671, 779, 1272, 267, 2669, 543, 19701, 892, 2443, 295, 320, 15756, 345, 630, 29994, 994, 28317, 3407, 4199, 2507, 2224, 995, 543, 1134, 27787, 543, 21503, 892, 2443, 24589, 14702, 769, 638, 790, 337, 454, 2108, 15253, 2454, 2507, 4415, 8296, 543, 11419, 267, 1160, 572, 5654, 693, 14732, 7671, 607, 14732, 24714, 547, 581, 2938, 281, 1657, 782, 267, 607, 513, 5856, 1848, 2443, 22146, 3163, 18554, 454, 2108, 307, 531, 5034, 2278, 8071, 710, 1160, 572, 4485, 14732, 7671, 609, 519, 25713, 543, 2463, 540, 835, 5856, 585, 1776, 2507, 3682, 572, 779, 1382, 796, 1723, 951, 1018, 1082, 786, 581, 14281, 547, 3605, 1848, 2443, 297, 518, 12731, 5403, 454, 2108, 27802, 656, 6053, 21503, 543, 2647, 8573, 4474, 2507, 1607, 2625, 532, 543, 5483, 1433, 12857, 3988, 547, 513, 2484, 811, 1950, 543, 12913, 1762, 4807, 982, 519, 14732, 649, 1558, 538, 938, 18273, 1848, 2443, 297, 28779, 3883, 2622, 454, 2108, 2304, 23666, 1947, 2484, 23568, 2565, 960, 267, 606, 17715, 1353, 1312, 1196, 4328, 543, 19278, 1862, 21459, 540, 16994, 7422, 543, 4241, 13882, 1848, 2443, 6124, 3840, 8648, 454, 2108, 3682, 572, 568, 4971, 532, 543, 27283, 1862, 3698, 514, 1438, 267, 7184, 3001, 14374, 883, 519, 1272, 540, 519, 1762, 267, 6650, 6150, 7376, 2807, 23448, 867, 2435, 21981, 547, 519, 1379, 540, 3332, 543, 8296, 1848, 2443, 9349, 4289, 630, 28588, 1042, 2689, 994, 28317, 4241, 1433, 1862, 337, 633, 1154, 547, 1224, 907, 1848, 2443, 2304, 928, 10162, 760, 515, 267, 28850, 18225, 454, 268, 9768, 281, 476, 7818, 24879, 4198, 280, 1626, 276, 454, 268, 9768, 476, 1015, 281, 476, 24879, 4198, 280, 1626, 273, 454, 268, 1955, 2745, 281, 22489, 31890, 552, 268, 9248, 454, 268, 2201, 22312, 281, 476, 6021, 270, 3066, 270, 1220, 280, 454, 268, 14474, 281, 26496, 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 ]
[ 6546, 1109, 568, 267, 538, 700, 18449, 1142, 23442, 786, 3914, 606, 1648, 2147, 547, 602, 540, 606, 30414, 3267, 1109, 300, 5308, 12702, 3951, 302, 2439, 3719, 649, 723, 547, 1832, 538, 2247, 602, 713, 18151, 814, 476, 3607, 8536, 18265, 7576, 976, 267, 6466, 1109, 1492, 1109, 278, 1855, 309, 538, 519, 700, 18449, 786, 581, 13404, 538, 835, 6852, 23442, 780, 9320, 713, 6476, 568, 711, 1360, 20310, 865, 1577, 21485, 338, 1413, 693, 621, 689, 1776, 1448, 540, 2070, 269, 2913, 21485, 338, 5173, 519, 1648, 1459, 538, 1142, 19619, 281, 476, 278, 1855, 309, 24579, 339, 11252, 6440, 272, 267, 1428, 6440, 6200, 272, 1109, 2889, 27971, 11486, 4875, 9625, 272, 267, 3066, 6440, 10755, 1109, 297, 11486, 4875, 589, 3532, 5179, 321, 833, 476, 5611, 4846, 21409, 693, 476, 5611, 5998, 10774, 318, 661, 330, 1109, 284, 476, 16006, 5788, 5611, 1109, 6440, 1109, 6078, 267, 7761, 1109, 349, 1109, 272, 267, 3066, 6440, 10755, 1109, 297, 692, 3383, 952, 513, 19619, 540, 22571, 2458, 1938, 609, 596, 519, 1764, 568, 2147, 547, 602, 3812, 676, 513, 3532, 5179, 321, 833, 21409, 693, 476, 5611, 5998, 10774, 780, 2252, 596, 616, 18822, 547, 2057, 602, 1109, 257, 271, 267, 273, 17552, 6945, 5179, 321, 833, 2580, 1810, 21485, 339, 5855, 267, 972, 616, 476, 18231, 278, 1739, 621, 269, 1656, 952, 596, 6430, 547, 1689, 28961, 267, 519, 6697, 568, 4947, 538, 519, 6587, 4287, 780, 6271, 9819, 799, 666, 1397, 519, 11999, 2179, 540, 1648, 6603, 568, 281, 476, 272, 267, 3066, 6440, 10755, 1109, 297, 1315, 19619, 1109, 1535, 476, 18231, 279, 536, 31708, 1109, 349, 1109, 11740, 631, 297, 5231, 910, 1805, 1819, 11237, 1648, 268, 1656, 602, 568, 6697, 547, 476, 6507, 267, 275, 4846, 1109, 540, 1109, 570, 18199, 634, 1648, 1543, 540, 570, 18199, 568, 476, 275, 269, 6924, 300, 297, 21515, 630, 289, 1197, 3805, 476, 1960, 279, 6393, 18217, 6334, 267, 607, 519, 1297, 540, 22571, 11486, 4875, 4679, 267, 607, 4523, 1310, 1279, 9505, 6658, 267, 700, 306, 267, 713, 6740, 1648, 538, 519, 11237, 4679, 6393, 763, 14333, 540, 674, 4288, 540, 7108, 568, 18529, 295, 293, 1109, 284, 476, 8287, 267, 10170, 737, 297, 21515, 543, 519, 631, 6897, 14333, 27519, 568, 476, 1839, 267, 5655, 808, 8276, 565, 6440, 298, 692, 3383, 267, 476, 11740, 631, 297, 616, 2614, 547, 1491, 476, 5611, 271, 4846, 540, 7108, 689, 476, 1839, 23263, 290, 547, 2698, 12760, 1109, 5231, 476, 272, 267, 276, 29139, 5886, 540, 7108, 780, 11917, 16227, 1109, 7945, 606, 2179, 540, 1648, 666, 711, 581, 13859, 14678, 1103, 1249, 1109, 1492, 1184, 16569, 936, 476, 736, 1295, 1109, 10843, 513, 1109, 7798, 540, 1114, 5787, 2209, 780, 10674, 2517, 331, 327, 322, 321, 269, 19986, 269, 1356, 333, 26716, 270, 692, 27483, 295, 27633, 2473, 629, 1512, 595, 573, 1109, 309, 10537, 267, 1109, 4942, 291, 538, 8097, 3487, 1834, 8212, 585, 16114, 328, 6210, 2160, 630, 4785, 290, 1040, 1109, 10932, 29533, 1109, 514, 8097, 3487, 1834, 8212, 1109, 520, 595, 30204, 689, 5130, 476, 1001, 274, 547, 1546, 576, 3387, 516, 476, 1001, 276, 269, 1261, 729, 2394, 476, 1708, 273, 5532, 547, 519, 4972, 540, 3487, 1834, 8212, 540, 519, 2475, 290, 607, 513, 834, 297, 10224, 632, 5487, 595, 328, 969, 320, 257, 543, 834, 305, 17868, 586, 595, 1690, 531, 257, 8284, 630, 28049, 5403, 4777, 28118, 18947, 6182, 1218, 1070, 543, 646, 568, 4867, 21133, 7905, 538, 602, 4972, 15301, 3036, 290, 2839, 1040, 10548, 517, 595, 573, 1109, 10048, 345, 8457, 267, 2394, 1010, 16468, 538, 476, 1708, 271, 729, 6281, 1153, 8212, 11819, 693, 594, 2464, 632, 590, 2752, 630, 306, 21468, 6210, 910, 8050, 1070, 543, 851, 6066, 17976, 337, 630, 30267, 525, 528, 1306, 1539, 5964, 264, 538, 20513, 540, 4065, 693, 519, 2160, 540, 16114, 328, 6210, 630, 8967, 664, 1040, 1261, 814, 513, 23422, 538, 8212, 543, 538, 11061, 267, 543, 646, 568, 12854, 585, 16114, 328, 6210, 2160, 630, 4785, 290, 264, 630, 3036, 290, 2839, 1040, 595, 30204, 595, 30204, 25723, 7034, 25492, 595, 30204, 30615, 595, 30204, 21885, 5358, 11933, 3749, 6323, 630, 8025, 264, 595, 30204, 21885, 8212, 4972, 595, 30204, 11660, 8758, 21164, 595, 30204, 12856, 595, 30204, 543, 519, 5113, 700, 18449, 700, 18449, 5489, 10725, 595, 5960, 5489, 10725, 11083, 299, 3008, 5489, 10725, 9338, 21201, 5489, 10725, 700, 18449, 321, 5489, 10725, 570, 5588, 4932, 5489, 10725, 700, 18449, 325, 5489, 10725, 7720, 3633, 3201, 5489, 10725, 674, 3008, 2207, 5489, 10725, 19301, 291, 287, 299, 18449, 692, 296, 6573, 18306, 19611, 12971, 2316, 4753, 692, 2690, 519, 15853, 1031, 950, 1603, 713, 8791, 5225, 979, 547, 519, 22108, 8791, 692, 15100, 2473, 629, 1512, 595, 573, 966, 10537, 1109, 261, 1109, 305, 17868, 595, 573, 910, 1109, 21683, 573, 287, 331, 327, 322, 12641, 29141, 269, 525, 1109, 1109, 347, 590, 3198, 2316, 8980, 302, 630, 306, 5183, 2562, 264, 1923, 0, 258, 7043, 652, 2619, 4480, 540, 18445, 513, 3113, 3069, 1966, 692, 9223, 281, 2913, 717, 581, 513, 2241, 3113, 267, 1141, 519, 5934, 4110, 540, 513, 14584, 568, 737, 269, 8058, 602, 717, 3568, 513, 2619, 540, 3259, 693, 2547, 737, 543, 513, 4783, 540, 3259, 693, 2547, 737, 1341, 476, 272, 780, 27893, 281, 6333, 519, 13074, 2619, 623, 538, 717, 269, 2913, 579, 581, 606, 1448, 540, 623, 269, 1635, 13429, 540, 623, 1373, 519, 13074, 2619, 267, 782, 12543, 540, 579, 616, 538, 623, 1547, 4595, 579, 814, 693, 2547, 737, 12543, 630, 2381, 3065, 476, 274, 4110, 538, 717, 568, 737, 1070, 519, 2619, 623, 814, 693, 2547, 737, 1341, 476, 272, 3982, 14622, 543, 865, 922, 3259, 568, 693, 2547, 737, 780, 296, 6415, 3843, 547, 1174, 1946, 6236, 519, 13074, 2619, 1505, 1568, 269, 594, 6415, 3843, 547, 1174, 1946, 789, 2161, 952, 596, 723, 519, 13074, 2619, 267, 1287, 513, 14584, 579, 786, 723, 782, 519, 30256, 538, 623, 269, 594, 666, 1294, 519, 4661, 267, 602, 952, 711, 782, 519, 30256, 540, 579, 616, 538, 623, 267, 1287, 596, 666, 1118, 513, 3476, 2619, 676, 14178, 623, 609, 602, 16705, 267, 799, 2306, 938, 13429, 540, 519, 13074, 2619, 4636, 780, 3719, 267, 1018, 952, 596, 723, 513, 14584, 899, 267, 27642, 707, 13869, 568, 513, 14584, 267, 543, 602, 14584, 814, 476, 276, 30256, 630, 712, 476, 276, 11263, 1040, 589, 2619, 1519, 519, 13869, 14584, 666, 1405, 3643, 782, 476, 276, 11263, 267, 6382, 621, 814, 547, 10956, 930, 8728, 269, 1548, 993, 594, 7508, 538, 1250, 1620, 2496, 1892, 6496, 550, 1269, 340, 259, 991, 547, 581, 519, 606, 1439, 14584, 593, 519, 2619, 286, 1290, 7757, 4119, 476, 274, 267, 476, 1001, 276, 693, 476, 1428, 281, 4366, 454, 1892, 1635, 519, 1259, 267, 707, 4831, 1383, 1568, 269, 2334, 568, 267, 2015, 1269, 298, 3709, 272, 267, 276, 4151, 799, 568, 519, 2012, 540, 707, 834, 8518, 257, 3113, 269, 589, 2619, 540, 5021, 3259, 568, 540, 3259, 476, 273, 267, 855, 711, 782, 540, 519, 3844, 14584, 781, 12543, 616, 3769, 538, 519, 2619, 269, 1290, 7757, 4119, 476, 274, 267, 476, 1001, 276, 693, 476, 1240, 281, 3393, 692, 10112, 2541, 6382, 267, 602, 606, 1439, 14584, 1269, 340, 259, 814, 930, 7023, 711, 593, 519, 2619, 267, 2161, 1269, 341, 8961, 1287, 519, 3312, 2619, 7132, 519, 6316, 1269, 12320, 259, 568, 513, 2619, 540, 3152, 3259, 563, 28775, 2685, 713, 1579, 1513, 909, 707, 1620, 269, 594, 1131, 979, 1394, 547, 519, 6169, 596, 941, 844, 7627, 543, 1118, 2386, 602, 1269, 340, 259, 568, 606, 1439, 14584, 269, 1403, 711, 267, 1287, 519, 6169, 814, 513, 1966, 269, 0, 6343, 568, 519, 1985, 1297, 538, 519, 4806, 476, 276, 267, 274, 267, 278, 267, 276, 267, 280, 267, 278, 267, 1556, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 7367, 454, 272, 269, 476, 276, 910, 476, 273, 815, 476, 274, 454, 274, 1341, 476, 275, 815, 476, 278, 454, 278, 910, 476, 273, 815, 476, 276, 454, 276, 1341, 476, 275, 815, 476, 280, 454, 280, 910, 476, 273, 815, 476, 278, 454, 278, 1341, 476, 275, 815, 476, 1556, 692, 1432, 4806, 798, 596, 1294, 2496, 1432, 568, 519, 1985, 1297, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 273, 269, 1411, 616, 4946, 476, 273, 547, 1169, 824, 1297, 692, 810, 476, 276, 267, 274, 267, 278, 267, 276, 267, 280, 267, 278, 267, 1556, 267, 2496, 276, 547, 476, 278, 267, 476, 278, 547, 476, 280, 267, 476, 280, 547, 476, 1556, 692, 274, 547, 476, 276, 267, 276, 547, 476, 278, 267, 278, 547, 26042, 286, 284, 280, 692, 296, 4126, 602, 2306, 2631, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 546, 2643, 534, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 276, 269, 519, 1985, 1297, 568, 476, 1724, 952, 512, 520, 2337, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 476, 273, 692, 7617, 540, 519, 1739, 2409, 666, 581, 1031, 547, 4020, 513, 4806, 540, 476, 1015, 2338, 585, 799, 621, 1131, 581, 28879, 7543, 547, 3589, 519, 476, 1556, 628, 2165, 286, 630, 3467, 1287, 835, 2626, 4700, 589, 8160, 820, 513, 4806, 267, 4358, 609, 476, 274, 267, 1141, 1142, 1297, 692, 24216, 676, 570, 604, 7236, 593, 4989, 476, 275, 267, 476, 1001, 274, 454, 273, 269, 12693, 10789, 692, 7617, 540, 519, 1739, 2409, 666, 581, 1031, 547, 4020, 513, 4806, 540, 476, 1015, 2338, 585, 799, 621, 1131, 581, 28879, 7543, 547, 3589, 519, 476, 1556, 628, 2165, 286, 630, 3467, 1287, 835, 2626, 4700, 589, 8160, 820, 513, 4806, 267, 4358, 609, 476, 274, 267, 1141, 1142, 1297, 692, 274, 269, 12693, 2979, 692, 301, 545, 1961, 1500, 513, 4806, 609, 2338, 269, 476, 2767, 476, 10037, 476, 25838, 476, 278, 3066, 7790, 6904, 3948, 827, 519, 1985, 1297, 538, 519, 4806, 568, 3020, 286, 589, 7868, 1297, 814, 476, 274, 9704, 645, 7868, 1297, 568, 3152, 982, 476, 1220, 271, 595, 7868, 1297, 568, 1447, 982, 476, 5611, 271, 667, 7868, 1297, 568, 606, 1256, 692, 24216, 676, 2340, 503, 360, 27501, 360, 8624, 2023, 27501, 360, 27501, 360, 593, 2904, 476, 2641, 267, 476, 1001, 273, 692, 288, 1297, 4806, 609, 519, 4341, 476, 277, 333, 267, 1141, 562, 4564, 519, 2990, 540, 519, 1297, 538, 519, 4806, 269, 1548, 616, 519, 1101, 2947, 2338, 540, 519, 4806, 2496, 24216, 676, 1546, 6277, 773, 593, 4989, 476, 278, 267, 476, 1001, 271, 454, 276, 269, 12693, 2979, 692, 3080, 1297, 538, 1142, 1895, 1281, 711, 3514, 476, 5780, 267, 3445, 267, 3953, 267, 3393, 267, 4968, 23694, 286, 476, 4200, 267, 7176, 272, 267, 3393, 280, 267, 8660, 267, 278, 3066, 23694, 286, 476, 12553, 267, 28192, 267, 4649, 277, 267, 4281, 279, 267, 278, 7830, 23694, 692, 24216, 676, 795, 820, 593, 5130, 476, 278, 267, 476, 1220, 279, 454, 277, 269, 12693, 7223, 692, 2252, 519, 4806, 2630, 5205, 519, 4341, 834, 5417, 476, 277, 547, 519, 3105, 1297, 543, 1287, 9062, 519, 1267, 676, 476, 274, 257, 1018, 568, 519, 3791, 1297, 538, 519, 4806, 267, 1759, 593, 519, 3355, 1297, 476, 272, 286, 476, 272, 267, 6449, 267, 18529, 267, 23099, 780, 24216, 676, 32088, 593, 5437, 476, 1724, 267, 476, 1001, 272, 454, 278, 269, 12693, 2979, 267, 7223, 692, 1704, 269, 6733, 693, 519, 4806, 2630, 269, 476, 2190, 267, 476, 2764, 267, 476, 3953, 267, 476, 3607, 267, 476, 2412, 267, 1547, 1547, 1547, 6904, 4082, 4564, 519, 1297, 538, 519, 4806, 267, 1141, 533, 568, 519, 2990, 540, 519, 1297, 538, 519, 4806, 286, 476, 275, 9638, 1341, 476, 276, 264, 476, 275, 335, 910, 476, 276, 476, 275, 9638, 1341, 476, 275, 264, 476, 275, 335, 1341, 476, 275, 692, 24216, 676, 15679, 593, 2904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1224, 2250, 13029, 13450, 602, 1439, 538, 910, 539, 269, 2422, 713, 835, 6823, 14633, 4879, 547, 15378, 707, 1101, 17603, 262, 1702, 540, 1913, 602, 1439, 538, 910, 539, 676, 2348, 873, 1224, 891, 8289, 1913, 16965, 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 ]
[ 16074, 952, 2009, 269, 4495, 669, 2683, 267, 1450, 519, 14859, 547, 3636, 909, 5594, 693, 4055, 2837, 1354, 1085, 334, 14563, 543, 11256, 547, 2061, 7050, 10825, 780, 290, 269, 5800, 542, 6513, 692, 8256, 11962, 6712, 532, 5849, 1256, 11256, 543, 8353, 24312, 24886, 6881, 269, 22982, 513, 5614, 2000, 1933, 539, 4672, 8645, 1085, 17274, 610, 7344, 23739, 2046, 547, 16005, 7833, 11084, 540, 14859, 5196, 533, 1105, 618, 1957, 2000, 1441, 11256, 9212, 269, 6611, 5323, 25940, 5111, 1079, 6279, 6306, 547, 13918, 10825, 543, 3895, 1256, 3002, 10009, 269, 15585, 622, 31781, 28870, 998, 11256, 547, 2327, 1256, 536, 20621, 543, 2061, 3905, 9634, 780, 309, 269, 29938, 543, 11154, 725, 692, 291, 1886, 12897, 7854, 9118, 8677, 267, 8151, 689, 5929, 10217, 13863, 547, 5499, 13144, 29689, 609, 2413, 10366, 543, 5820, 269, 2368, 2442, 6749, 23739, 7648, 1331, 27046, 22596, 986, 529, 514, 267, 24113, 7423, 267, 2879, 1157, 518, 323, 22751, 267, 5672, 611, 600, 807, 2428, 3043, 10217, 13863, 267, 543, 20909, 30103, 269, 3962, 8390, 20502, 2189, 10659, 540, 10366, 267, 18282, 267, 543, 23079, 602, 8597, 547, 3309, 16919, 543, 8192, 9993, 269, 5047, 267, 3860, 9542, 666, 2981, 2596, 6749, 23739, 10346, 883, 9058, 1476, 30708, 269, 6333, 19234, 609, 4244, 1166, 2293, 630, 7945, 607, 30288, 610, 17310, 1070, 796, 10915, 1441, 14836, 267, 1875, 1673, 8543, 2113, 802, 267, 610, 17154, 31431, 547, 4739, 8902, 267, 6784, 523, 7888, 8925, 780, 9654, 269, 24410, 7632, 327, 17415, 5871, 12983, 692, 8601, 20170, 29367, 547, 6836, 7146, 2389, 4902, 10346, 267, 30497, 543, 4810, 536, 5474, 7567, 7237, 17573, 22303, 538, 6749, 23739, 2504, 269, 18641, 267, 1034, 2152, 666, 581, 6439, 1881, 609, 5634, 11941, 610, 17408, 6545, 269, 5871, 2042, 543, 1761, 3435, 1331, 1384, 265, 28246, 1975, 15105, 281, 6184, 11211, 7912, 267, 7050, 7423, 610, 5798, 267, 16789, 569, 6027, 682, 822, 2287, 8069, 267, 610, 13385, 669, 3739, 942, 949, 3565, 547, 10825, 269, 17372, 891, 4145, 676, 5595, 19295, 9535, 7403, 267, 2810, 7912, 9424, 27261, 958, 267, 543, 14178, 669, 3739, 2053, 9935, 563, 265, 670, 3739, 610, 631, 15929, 281, 3683, 18566, 523, 5798, 610, 606, 11606, 540, 4006, 3448, 547, 3170, 666, 2014, 14629, 3824, 610, 544, 15929, 269, 22043, 713, 3390, 676, 15645, 908, 25588, 2053, 543, 14577, 4006, 3562, 19339, 12753, 607, 2877, 563, 265, 681, 698, 3022, 3798, 2471, 281, 7054, 10585, 8728, 6565, 689, 29927, 538, 14859, 11007, 267, 19514, 8022, 267, 610, 4028, 9023, 269, 3816, 9037, 891, 2591, 676, 4180, 4630, 18100, 11544, 267, 15914, 31781, 5781, 1282, 11256, 267, 543, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2690, 8286, 602, 991, 547, 581, 12699, 909, 538, 519, 14089, 593, 11894, 4303, 267, 1577, 873, 2097, 547, 4055, 10917, 585, 693, 2547, 476, 1428, 1700, 736, 3764, 1354, 11256, 547, 2759, 1524, 593, 27106, 942, 269, 968, 2005, 2560, 7427, 891, 1900, 8386, 9912, 5528, 585, 2870, 513, 16419, 2898, 25571, 7738, 8430, 269, 901, 8949, 267, 2241, 8670, 568, 1500, 676, 546, 20621, 513, 1804, 26029, 538, 513, 20645, 540, 7423, 268, 3258, 997, 14036, 267, 799, 694, 10134, 883, 1169, 562, 809, 543, 1835, 15967, 543, 25151, 1169, 2560, 901, 5162, 4395, 7450, 4159, 568, 30305, 609, 9702, 17869, 269, 7053, 267, 13248, 519, 7848, 883, 513, 22285, 543, 1577, 3579, 269, 7348, 519, 2407, 10624, 689, 4354, 787, 9457, 538, 2701, 742, 1752, 590, 273, 476, 275, 27426, 543, 1747, 707, 1931, 2228, 269, 9737, 31743, 707, 3318, 5326, 543, 16475, 519, 3501, 5428, 267, 972, 616, 1082, 4128, 547, 4487, 519, 1148, 540, 1818, 513, 544, 2967, 512, 2967, 269, 2142, 513, 1283, 27697, 543, 798, 621, 782, 538, 1007, 543, 22925, 5986, 3014, 269, 4179, 2517, 4178, 269, 612, 775, 2593, 15828, 604, 5598, 270, 612, 775, 3887, 1846, 270, 1691, 11665, 545, 1606, 9567, 32103, 29627, 6346, 623, 4428, 2250, 787, 568, 2907, 2352, 547, 7485, 1055, 267, 543, 4946, 13803, 1152, 22705, 519, 4161, 269, 17547, 1079, 1298, 22015, 637, 630, 12671, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 20043, 1299, 2598, 1127, 1315, 13648, 625, 1315, 29100, 13648, 625, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 18270, 908, 6468, 540, 3979, 2677, 1417, 281, 10289, 14740, 267, 9177, 267, 543, 23830, 998, 8535, 543, 9012, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 3638, 13795, 540, 2833, 602, 3337, 519, 2729, 540, 2021, 540, 3979, 16350, 267, 1312, 1369, 519, 2136, 2276, 543, 2066, 519, 6626, 29563, 269, 3414, 606, 15834, 7828, 267, 5373, 2390, 6436, 543, 2409, 689, 15257, 267, 2686, 19795, 267, 6803, 2090, 267, 2575, 1108, 267, 2923, 2090, 267, 543, 4008, 2090, 267, 649, 786, 4983, 875, 891, 2021, 6330, 1950, 1514, 8916, 6825, 676, 2152, 540, 5198, 267, 4008, 267, 1362, 267, 14920, 267, 543, 3084, 3961, 269, 3776, 3119, 1445, 786, 581, 593, 3695, 519, 1909, 540, 2575, 543, 2923, 607, 4609, 1141, 2055, 540, 6041, 267, 16882, 267, 543, 4187, 616, 7858, 7007, 543, 29653, 269, 1635, 2502, 609, 3309, 5931, 31251, 14046, 4930, 267, 29946, 267, 27143, 267, 8874, 267, 3308, 1148, 267, 543, 3059, 5867, 1765, 29324, 786, 11349, 2565, 3206, 1983, 2556, 585, 7421, 1379, 6384, 7915, 538, 2686, 2504, 1247, 29947, 741, 1702, 540, 3140, 543, 4207, 7215, 540, 3109, 4807, 3125, 780, 296, 269, 17553, 519, 8609, 281, 20223, 6206, 16301, 543, 16610, 692, 6524, 11362, 883, 938, 1292, 3584, 267, 1577, 721, 1101, 12172, 930, 1883, 2474, 543, 2035, 602, 786, 3391, 938, 5717, 2429, 713, 1576, 1770, 1384, 288, 264, 28249, 1275, 281, 3213, 1441, 676, 3656, 16159, 13690, 828, 331, 2946, 13879, 11511, 985, 24849, 538, 476, 2735, 280, 267, 28622, 4016, 547, 519, 2081, 2789, 3029, 540, 15746, 630, 7945, 607, 10168, 267, 3023, 1143, 267, 4630, 22785, 267, 1098, 874, 14113, 267, 2111, 1143, 267, 3092, 4700, 16937, 543, 2170, 267, 2870, 2189, 2833, 540, 30886, 585, 2043, 945, 19582, 811, 982, 835, 31345, 7121, 8195, 269, 901, 1523, 814, 1044, 3226, 9565, 538, 15594, 543, 4550, 268, 2350, 626, 14172, 267, 11319, 5640, 547, 2015, 875, 1949, 540, 1379, 7500, 1927, 2864, 982, 10446, 780, 289, 264, 1261, 28282, 344, 281, 14216, 1882, 689, 7969, 31767, 21293, 717, 2449, 857, 781, 960, 267, 30566, 344, 6257, 519, 1184, 676, 799, 8789, 2516, 2226, 1379, 998, 9844, 2864, 982, 28170, 542, 269, 898, 3322, 5935, 6848, 8155, 267, 2418, 267, 543, 4978, 865, 602, 789, 2408, 2067, 610, 862, 976, 1619, 267, 7551, 17516, 10220, 689, 29884, 2516, 1510, 759, 15659, 547, 3196, 269, 1261, 28282, 545, 3157, 666, 581, 4767, 693, 1585, 2157, 267, 1519, 2518, 267, 3084, 267, 6237, 267, 543, 2199, 8658, 780, 290, 264, 22388, 515, 28282, 344, 281, 8490, 2390, 519, 2856, 540, 30566, 344, 267, 4831, 515, 28282, 344, 18575, 3646, 1500, 676, 1016, 531, 1181, 2516, 547, 4161, 8789, 19237, 543, 2853, 269, 1452, 2591, 949, 1491, 1082, 3029, 267, 971, 607, 4244, 12331, 540, 4082, 267, 3860, 4187, 2994, 267, 610, 2679, 14628, 5238, 269, 22388, 515, 28282, 545, 3785, 1419, 2832, 547, 4020, 1007, 7104, 9163, 1759, 593, 3838, 9620, 1996, 26568, 3889, 780, 291, 264, 4144, 23159, 281, 13575, 13288, 547, 2950, 24797, 689, 741, 3312, 22657, 1813, 547, 9194, 267, 12761, 267, 610, 7142, 8851, 267, 29563, 11438, 1808, 25664, 725, 950, 1031, 538, 6935, 547, 1004, 540, 3979, 16350, 269, 634, 3979, 29563, 13315, 1346, 26731, 689, 20665, 20338, 538, 519, 17113, 267, 2059, 609, 5095, 23493, 538, 2342, 267, 5607, 267, 543, 824, 2694, 540, 4000, 3294, 269, 6239, 547, 24300, 540, 29563, 616, 18765, 540, 4276, 267, 15364, 267, 543, 28230, 1107, 2188, 602, 3310, 875, 2818, 540, 891, 2950, 13498, 2933, 543, 9305, 547, 1866, 1369, 543, 3564, 741, 9757, 10923, 6753, 780, 2862, 269, 19484, 5772, 885, 281, 11724, 725, 540, 4563, 19716, 3125, 538, 15019, 8535, 543, 9012, 692, 2414, 2253, 938, 7634, 267, 649, 2490, 547, 2442, 2528, 607, 513, 3135, 1141, 10096, 4478, 3109, 4807, 3125, 616, 3812, 267, 10057, 267, 543, 29653, 269, 1284, 2307, 281, 1215, 798, 12372, 267, 5159, 267, 543, 2923, 14789, 4497, 609, 17888, 11475, 827, 3109, 2021, 286, 1548, 4244, 6386, 10836, 998, 741, 3860, 3977, 286, 1656, 1018, 6286, 1281, 713, 723, 585, 6626, 2486, 2496, 288, 264, 8466, 12745, 281, 3245, 631, 20632, 547, 8614, 2763, 10964, 910, 24167, 27748, 545, 16103, 540, 4563, 6468, 538, 772, 2529, 269, 7377, 9177, 692, 272, 269, 634, 631, 20632, 18840, 6943, 281, 7880, 3215, 1282, 8474, 267, 519, 7882, 344, 4137, 13269, 20665, 3109, 2021, 607, 10121, 267, 14637, 1416, 339, 5474, 13991, 547, 7674, 3043, 3885, 269, 6736, 1200, 9277, 15754, 2509, 16543, 267, 1352, 729, 10355, 17814, 607, 2348, 1022, 22686, 13218, 610, 3929, 4296, 547, 1200, 1378, 2146, 269, 901, 632, 16058, 1944, 3239, 6039, 547, 17854, 7292, 25327, 1247, 17923, 575, 25311, 15523, 1063, 1857, 543, 4357, 21384, 563, 273, 269, 634, 8614, 2763, 10964, 7708, 701, 281, 6271, 5739, 8305, 9189, 4294, 547, 3109, 2021, 267, 14247, 2763, 321, 1564, 941, 6353, 607, 5409, 25757, 1242, 7919, 4171, 1202, 520, 4192, 13821, 3366, 873, 547, 6822, 340, 576, 2367, 1107, 2523, 3043, 2367, 269, 1306, 609, 7882, 625, 267, 14247, 2763, 321, 1564, 26218, 8116, 543, 13190, 267, 4540, 5097, 547, 11886, 5256, 6720, 553, 625, 543, 12927, 22457, 10054, 3823, 3109, 4775, 1596, 4593, 8462, 780, 289, 264, 12634, 25285, 281, 1234, 8010, 532, 28805, 543, 4414, 1030, 1456, 21940, 2456, 692, 272, 269, 20551, 4101, 2757, 11269, 281, 4053, 5974, 899, 7323, 344, 11875, 3999, 267, 3967, 16279, 3933, 5451, 324, 267, 9315, 328, 645, 1421, 700, 11170, 334, 267, 543, 681, 8811, 13860, 723, 782, 6035, 5646, 1181, 1551, 2510, 602, 5706, 1898, 626, 18765, 540, 3109, 4807, 3125, 269, 4256, 18405, 267, 6752, 5079, 267, 543, 12644, 8661, 4763, 267, 23141, 267, 543, 1582, 22325, 267, 8716, 19700, 547, 9784, 741, 4703, 267, 13821, 267, 543, 12583, 563, 273, 269, 4317, 2923, 4623, 6203, 28196, 1456, 5898, 4441, 281, 15107, 13257, 971, 607, 17749, 267, 12108, 267, 543, 13334, 1683, 5624, 585, 3109, 2021, 547, 2671, 741, 2984, 267, 13686, 741, 15421, 267, 543, 1921, 609, 9458, 5001, 269, 14118, 523, 6203, 899, 4793, 878, 807, 24761, 267, 10793, 773, 589, 2088, 267, 543, 715, 2096, 320, 19358, 946, 17539, 18862, 267, 2960, 3249, 13467, 267, 543, 642, 8421, 338, 547, 3895, 1560, 25273, 267, 8396, 2681, 1143, 267, 543, 7519, 16402, 1417, 878, 5898, 16431, 780, 7656, 269, 10837, 267, 18650, 267, 543, 25085, 618, 281, 8865, 5525, 540, 6468, 540, 3979, 2677, 1417, 4635, 8535, 543, 9012, 585, 7827, 692, 16352, 8268, 930, 540, 519, 10848, 4478, 3109, 4807, 3125, 538, 2442, 2528, 267, 649, 1631, 6521, 938, 3007, 4724, 2013, 2090, 10223, 8320, 1141, 2021, 540, 3979, 16350, 2308, 7574, 543, 18657, 1738, 2645, 547, 7682, 741, 8116, 267, 6536, 4187, 5322, 267, 543, 8300, 1689, 780, 288, 264, 6201, 540, 2920, 22999, 4053, 5974, 281, 3245, 715, 2088, 3244, 821, 547, 2142, 27267, 322, 2946, 692, 272, 269, 715, 2088, 3244, 821, 281, 10705, 5219, 547, 607, 519, 834, 11947, 623, 1845, 339, 612, 540, 31522, 2437, 3244, 821, 8246, 1200, 3532, 5639, 543, 14440, 4730, 547, 2232, 3540, 2924, 2152, 267, 6340, 856, 1996, 7292, 5208, 543, 14957, 585, 3109, 19802, 269, 14576, 338, 899, 834, 29309, 13945, 2696, 17043, 257, 543, 834, 1805, 9792, 22500, 257, 4196, 607, 11972, 1449, 14613, 547, 1200, 26772, 7029, 547, 5126, 543, 7862, 563, 273, 269, 2142, 27267, 322, 2946, 281, 14301, 2390, 513, 1279, 9371, 540, 3109, 7574, 17933, 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 ]
[ 267, 519, 4102, 1609, 4231, 538, 519, 2136, 2276, 267, 568, 1753, 547, 513, 2647, 3099, 540, 7286, 1272, 267, 1519, 28725, 267, 23690, 9094, 267, 3165, 267, 543, 824, 32729, 269, 1452, 8949, 7068, 616, 711, 1152, 513, 20013, 540, 519, 2199, 2732, 855, 849, 4196, 607, 513, 1713, 2804, 9920, 585, 519, 3148, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 27991, 1901, 820, 7345, 16872, 267, 3695, 922, 2686, 4644, 267, 5986, 2553, 267, 6940, 4145, 267, 543, 811, 780, 4089, 476, 272, 281, 8466, 19043, 543, 8836, 11957, 692, 2414, 5963, 1174, 519, 2956, 540, 27991, 1901, 820, 7345, 16872, 267, 835, 1590, 1101, 5660, 519, 3140, 2796, 543, 2686, 4644, 540, 713, 2189, 5117, 269, 1280, 5215, 540, 1296, 267, 6805, 11031, 723, 16941, 593, 519, 29667, 3814, 2200, 3177, 676, 519, 15922, 267, 3384, 10427, 10068, 2409, 543, 11091, 2553, 547, 2327, 741, 6668, 2429, 519, 1032, 269, 1879, 3864, 13896, 8452, 538, 519, 476, 1704, 628, 2540, 267, 789, 1932, 941, 6537, 547, 519, 10731, 16872, 7727, 267, 6220, 891, 1007, 5820, 883, 741, 1378, 11477, 5389, 543, 4758, 4332, 547, 1018, 1131, 1831, 5929, 8286, 899, 15930, 595, 4599, 595, 1389, 543, 9098, 744, 344, 3122, 19731, 780, 9213, 267, 27991, 1901, 820, 7345, 16872, 3788, 606, 7533, 851, 540, 519, 3148, 781, 3961, 267, 609, 1082, 3885, 8429, 1524, 10346, 543, 10068, 2553, 998, 5481, 269, 14080, 11040, 543, 2621, 14120, 519, 1858, 781, 17535, 6561, 32736, 267, 2417, 4396, 4328, 519, 6125, 1063, 519, 1004, 543, 519, 25825, 602, 3295, 873, 269, 1306, 6800, 5051, 3343, 856, 12725, 21433, 267, 4264, 1426, 3681, 267, 519, 3747, 585, 27991, 1901, 820, 7345, 16872, 5170, 547, 1332, 267, 1312, 1369, 519, 3148, 543, 3564, 780, 4089, 476, 273, 281, 3171, 25733, 15661, 543, 18181, 9828, 692, 4263, 519, 2295, 540, 27991, 1901, 820, 7345, 16872, 2528, 6013, 513, 3309, 5044, 540, 2249, 267, 1142, 609, 922, 3982, 8137, 9043, 543, 7041, 1505, 269, 2368, 540, 519, 1034, 11599, 11317, 540, 519, 15922, 1331, 1384, 265, 9791, 15434, 2125, 281, 19612, 585, 741, 7524, 4544, 2681, 543, 10058, 804, 1177, 3337, 267, 4544, 28725, 616, 5310, 519, 1034, 4583, 7264, 540, 519, 27991, 1901, 820, 7345, 269, 1358, 616, 1419, 2848, 3139, 610, 23017, 2898, 543, 1287, 13603, 2973, 267, 27548, 30362, 2849, 17632, 540, 6653, 267, 13035, 5779, 269, 595, 4599, 31817, 267, 1500, 676, 9256, 26686, 26029, 1889, 520, 609, 12622, 619, 971, 607, 3694, 322, 5300, 2125, 267, 4212, 267, 543, 949, 30358, 1047, 267, 616, 1776, 2442, 8670, 563, 265, 744, 344, 9094, 281, 11412, 21077, 585, 741, 1490, 4176, 6492, 543, 6109, 9403, 267, 27991, 1901, 820, 7345, 23690, 9094, 2097, 538, 1585, 7306, 543, 10366, 4470, 593, 741, 1808, 4087, 1369, 519, 15922, 269, 21984, 593, 519, 3368, 7387, 267, 22304, 267, 28777, 267, 610, 11368, 883, 669, 578, 10249, 543, 8631, 902, 267, 972, 568, 1100, 17732, 540, 2081, 547, 2972, 891, 632, 937, 762, 536, 2526, 1407, 563, 265, 9412, 8127, 630, 1805, 686, 6244, 30464, 2567, 589, 17028, 7458, 3014, 3165, 267, 4224, 8127, 616, 1634, 585, 741, 1166, 21294, 3043, 17145, 543, 7646, 569, 6653, 8137, 269, 6182, 2683, 267, 2156, 6150, 267, 610, 1093, 3737, 267, 789, 1118, 513, 17175, 4099, 12328, 585, 1022, 7594, 269, 3911, 12097, 4224, 8127, 16702, 267, 19023, 609, 6196, 7345, 17897, 532, 543, 6039, 609, 11523, 619, 610, 5388, 267, 568, 513, 5172, 12608, 6500, 1851, 17137, 563, 265, 1849, 4461, 281, 10705, 15763, 3379, 547, 741, 8755, 1512, 13413, 267, 804, 4461, 1404, 606, 1898, 1909, 538, 27991, 1901, 820, 7345, 11951, 269, 29673, 619, 267, 1396, 339, 6352, 1815, 802, 267, 543, 10027, 15009, 2158, 666, 782, 581, 1336, 538, 519, 15922, 267, 1655, 10150, 6151, 267, 2848, 3139, 267, 610, 3773, 547, 27130, 543, 12403, 338, 780, 1103, 1840, 547, 2757, 21339, 267, 2413, 22730, 616, 7683, 19234, 609, 1007, 2553, 543, 14245, 267, 6173, 908, 27991, 1901, 820, 7345, 16872, 547, 1007, 15627, 1247, 1869, 26621, 519, 3148, 781, 588, 528, 1221, 11477, 1686, 269, 3245, 7636, 8819, 25348, 30816, 21384, 4904, 609, 26029, 20312, 4302, 547, 3574, 30187, 2898, 3165, 24224, 609, 4195, 11922, 543, 20521, 21100, 267, 5647, 6487, 1100, 23451, 950, 621, 2501, 547, 15386, 519, 11108, 2298, 540, 891, 1726, 25979, 5820, 780, 4089, 476, 274, 281, 20885, 31700, 543, 11094, 27557, 692, 2026, 5018, 4505, 267, 519, 3747, 585, 27991, 1901, 820, 7345, 16872, 814, 2760, 1044, 2362, 267, 3056, 547, 2799, 2604, 593, 3552, 5095, 543, 741, 9249, 269, 3683, 325, 5109, 267, 5533, 267, 7226, 9552, 267, 543, 2916, 1689, 723, 782, 8329, 547, 19394, 13632, 267, 17116, 711, 1152, 519, 2104, 540, 519, 2872, 855, 849, 519, 3003, 5117, 2390, 799, 621, 5673, 269, 18641, 267, 7255, 8639, 31539, 2825, 3906, 543, 4081, 5238, 547, 2229, 8041, 543, 2872, 3401, 1765, 17647, 3144, 2962, 547, 3895, 4264, 2853, 543, 2149, 519, 1279, 3856, 23812, 540, 519, 15922, 781, 10475, 2200, 780, 3080, 8037, 1383, 568, 519, 1646, 543, 6388, 540, 2257, 2861, 13278, 344, 2359, 4566, 267, 799, 2832, 547, 25580, 30701, 13632, 267, 2569, 676, 322, 2255, 267, 7413, 3653, 267, 543, 2226, 2635, 8134, 269, 3958, 267, 1082, 14060, 543, 6990, 1631, 7119, 538, 13995, 3292, 971, 607, 13149, 19731, 13734, 7027, 630, 5960, 290, 264, 610, 13985, 20628, 19731, 13734, 7027, 630, 3008, 290, 1070, 4180, 602, 741, 2472, 2743, 22608, 7355, 3823, 3743, 16276, 267, 10250, 1464, 267, 543, 1514, 5539, 269, 3117, 28366, 1932, 666, 1404, 513, 2629, 1909, 538, 5885, 6940, 3646, 676, 7446, 547, 6718, 16872, 689, 18019, 2959, 267, 6998, 2055, 827, 8810, 766, 543, 7556, 2409, 267, 543, 1373, 8348, 547, 2628, 513, 14167, 585, 19100, 21433, 3681, 780, 6962, 1384, 290, 1127, 1901, 820, 7345, 16872, 4564, 2484, 811, 982, 1175, 513, 17705, 7594, 282, 621, 5713, 607, 513, 3090, 540, 519, 3148, 781, 10583, 17535, 6561, 267, 513, 15266, 547, 519, 6043, 540, 922, 2067, 1604, 267, 543, 513, 12576, 540, 938, 7104, 5539, 547, 8190, 891, 13344, 585, 2104, 5481, 269, 1635, 1565, 827, 519, 1686, 267, 2528, 267, 2249, 267, 543, 5726, 7341, 4478, 713, 19644, 11477, 2245, 267, 649, 2744, 711, 1152, 3407, 1702, 855, 849, 513, 4514, 7071, 585, 519, 25872, 540, 938, 3527, 543, 741, 1764, 593, 519, 1158, 1472, 721, 269, 1924, 2436, 596, 2811, 11981, 513, 6676, 540, 2848, 5446, 3905, 28725, 693, 513, 18147, 11018, 267, 5260, 1681, 513, 12826, 540, 27598, 804, 600, 669, 32535, 693, 513, 18241, 15798, 728, 13962, 267, 610, 3274, 14952, 532, 693, 519, 5898, 540, 519, 15922, 3294, 267, 1491, 513, 4090, 547, 2992, 593, 519, 6909, 1650, 3297, 1169, 11116, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1220, 276, 1473, 3233, 5794, 10866, 13088, 585, 12140, 5358, 543, 8330, 8676, 5004, 9751, 8750, 338, 3752, 545, 2787, 454, 763, 5758, 585, 519, 476, 1220, 276, 1473, 3233, 5794, 10866, 13088, 585, 12140, 5358, 543, 8330, 8676, 5004, 9751, 8750, 338, 3752, 545, 2787, 9886, 568, 2143, 2630, 269, 901, 5758, 2829, 945, 568, 14718, 585, 519, 9886, 267, 875, 1454, 9886, 2724, 786, 581, 13752, 267, 1699, 543, 2250, 21852, 267, 18280, 690, 540, 8549, 23582, 26859, 630, 20003, 6395, 264, 2338, 267, 543, 513, 10386, 540, 2147, 2229, 14828, 269, 7638, 1518, 519, 6111, 540, 519, 1239, 8549, 294, 7847, 2593, 2488, 676, 9683, 519, 2546, 7074, 538, 519, 13017, 547, 9509, 7788, 8784, 618, 3296, 610, 676, 32296, 519, 3617, 1268, 7396, 607, 519, 16827, 7788, 8784, 618, 13555, 269, 1403, 1022, 3296, 568, 18106, 267, 5225, 3643, 519, 3896, 585, 519, 7025, 10466, 10837, 267, 799, 568, 519, 772, 2529, 269, 2229, 8116, 5356, 713, 9886, 563, 1220, 276, 1473, 3233, 5794, 10866, 13088, 585, 12140, 5358, 543, 8330, 8676, 5004, 9751, 8750, 338, 3752, 545, 2787, 281, 634, 3804, 540, 16501, 267, 16323, 476, 275, 781, 1473, 3233, 5794, 5358, 568, 547, 6175, 519, 1072, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 1127, 1901, 820, 7345, 1530, 2378, 797, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 5664, 9533, 2276, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 2250, 787, 7045, 256, 4653, 267, 649, 3513, 2263, 513, 8949, 543, 17715, 1521, 1572, 26054, 4536, 269, 1452, 4190, 2250, 1845, 1413, 899, 6946, 1568, 540, 1148, 267, 855, 1810, 1405, 5855, 910, 789, 2811, 2965, 3833, 2241, 547, 1118, 609, 519, 1318, 2645, 543, 2553, 269, 9578, 267, 2094, 13869, 4536, 616, 1500, 5097, 689, 25858, 2250, 787, 543, 4006, 267, 789, 3514, 9985, 883, 513, 2030, 2861, 2732, 256, 24706, 16969, 1122, 523, 3780, 692, 2162, 1548, 1411, 3513, 10261, 281, 7233, 15369, 28881, 13088, 585, 10435, 26054, 4536, 692, 5575, 1919, 1101, 910, 1354, 11362, 883, 1818, 891, 17175, 29535, 9313, 267, 621, 781, 1271, 547, 2327, 602, 596, 723, 519, 1697, 2645, 693, 707, 12871, 269, 901, 3085, 1405, 1611, 7836, 13907, 540, 2724, 593, 16681, 19269, 282, 3079, 267, 1445, 593, 16565, 513, 1906, 1883, 4773, 602, 3513, 948, 2490, 1256, 30497, 29397, 883, 2250, 787, 5294, 256, 2368, 5363, 2030, 2861, 10051, 2645, 585, 2870, 13869, 4536, 1331, 1384, 272, 269, 589, 12902, 8930, 281, 2755, 596, 1522, 1589, 1210, 513, 9174, 11480, 610, 8900, 1216, 795, 1872, 1131, 3411, 823, 267, 10115, 538, 513, 2298, 12902, 8930, 5849, 5812, 2164, 543, 2306, 14859, 12879, 1454, 4443, 269, 6733, 585, 835, 1500, 540, 3574, 610, 18899, 585, 15006, 543, 2837, 1852, 563, 273, 269, 623, 1105, 618, 1957, 281, 3143, 811, 20202, 3190, 525, 610, 26151, 4420, 1682, 256, 700, 1456, 707, 11256, 9212, 609, 533, 1105, 618, 1957, 5932, 513, 1875, 22496, 2627, 1247, 3850, 3002, 547, 32694, 14961, 269, 898, 849, 17990, 30749, 942, 2663, 269, 12736, 2914, 514, 2336, 274, 269, 1744, 17369, 31009, 281, 5901, 1346, 19059, 4378, 539, 543, 4712, 585, 2962, 256, 589, 1434, 1305, 540, 8325, 31009, 2501, 538, 13561, 1282, 1585, 5933, 540, 13869, 1512, 2504, 267, 1519, 5969, 519, 25858, 2250, 787, 6656, 883, 3160, 13980, 563, 275, 269, 12815, 787, 11453, 281, 4014, 18593, 267, 26539, 513, 30736, 2250, 787, 11453, 2337, 15814, 24268, 7423, 610, 3282, 936, 14859, 7252, 25144, 269, 1403, 596, 1810, 1405, 723, 835, 2139, 267, 3274, 946, 707, 11263, 610, 16702, 519, 7944, 540, 513, 25649, 4062, 540, 533, 1105, 618, 1957, 883, 519, 5277, 543, 9900, 1273, 5196, 519, 14859, 563, 276, 269, 15346, 532, 24646, 281, 2991, 9427, 19323, 5370, 689, 519, 14089, 267, 11093, 873, 593, 513, 9023, 24646, 2636, 25312, 18284, 267, 7303, 521, 17344, 1465, 543, 5009, 26546, 1145, 269, 4793, 1466, 17188, 1055, 1934, 1317, 15603, 519, 13000, 3579, 4625, 10597, 741, 9403, 543, 8137, 563, 277, 269, 7913, 4336, 281, 1280, 5730, 7403, 267, 3226, 950, 2324, 609, 5820, 6213, 547, 2597, 630, 3697, 7912, 1070, 2015, 11449, 513, 3059, 4336, 269, 4635, 7893, 11680, 949, 1291, 547, 29927, 1813, 547, 24386, 3604, 1063, 3755, 269, 2060, 10253, 267, 3025, 3800, 8308, 267, 4180, 6325, 4093, 1169, 942, 780, 3086, 602, 649, 4312, 4988, 519, 9238, 1577, 781, 4685, 883, 13167, 32727, 696, 1190, 17154, 13869, 4536, 2439, 2162, 1215, 547, 5269, 12098, 534, 26054, 4536, 281, 5153, 676, 5153, 27491, 692, 1262, 28808, 1042, 1304, 5903, 16001, 265, 2290, 10189, 540, 4558, 1532, 4454, 610, 19471, 17154, 25858, 2250, 787, 630, 839, 675, 621, 781, 555, 31090, 952, 13792, 994, 265, 21081, 4327, 4006, 630, 19009, 610, 6960, 264, 585, 15098, 543, 1286, 14712, 1436, 454, 265, 8838, 1308, 23937, 281, 24036, 267, 29877, 1349, 267, 11993, 1990, 652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1992, 540, 971, 2533, 607, 5385, 267, 7118, 267, 588, 1136, 267, 16755, 267, 12029, 267, 11033, 267, 5491, 6486, 267, 32454, 267, 543, 811, 563, 289, 12099, 814, 922, 1378, 2189, 21797, 267, 19116, 543, 11113, 269, 2290, 540, 799, 568, 645, 4785, 291, 267, 513, 7123, 8314, 267, 543, 519, 824, 568, 645, 301, 289, 799, 568, 1634, 607, 513, 2178, 1685, 518, 1813, 547, 922, 1970, 12375, 563, 4913, 267, 645, 12099, 814, 922, 2042, 543, 4158, 5011, 563, 1103, 476, 1708, 272, 267, 519, 2754, 729, 11567, 676, 519, 2136, 2276, 4972, 540, 10456, 543, 18378, 28521, 6796, 593, 31482, 540, 2724, 561, 879, 837, 532, 543, 3454, 1055, 5151, 563, 1103, 519, 1482, 1032, 267, 519, 2136, 8003, 779, 11038, 18430, 16958, 10288, 519, 3760, 547, 3247, 782, 14931, 2534, 538, 519, 2197, 538, 4873, 476, 1708, 272, 269, 2334, 1767, 267, 519, 9165, 540, 713, 7333, 729, 3908, 267, 543, 602, 1875, 15696, 626, 1229, 10909, 666, 1869, 2170, 609, 5177, 6800, 563, 28606, 17067, 602, 1032, 267, 621, 729, 1305, 909, 547, 10131, 922, 1378, 3059, 10697, 19458, 538, 6628, 267, 855, 621, 24013, 4319, 713, 3498, 1813, 547, 711, 5870, 4550, 2173, 2292, 561, 879, 837, 532, 4170, 563, 1103, 519, 1482, 1032, 267, 645, 12099, 729, 849, 4080, 547, 723, 3838, 7817, 1344, 267, 1519, 9607, 543, 4408, 267, 609, 519, 6739, 2229, 269, 634, 6739, 2229, 20582, 713, 607, 513, 1259, 547, 948, 873, 4339, 6760, 563, 29209, 19139, 540, 15303, 657, 454, 763, 2754, 568, 835, 540, 519, 4102, 15170, 5867, 593, 519, 2344, 269, 9747, 267, 621, 568, 1100, 9983, 602, 1082, 19116, 543, 824, 3059, 19728, 616, 2139, 269, 1411, 666, 1205, 18228, 8804, 21797, 630, 5719, 22380, 1070, 7123, 11113, 267, 5621, 19728, 267, 543, 824, 2442, 6939, 657, 563, 288, 1906, 1806, 540, 713, 1331, 912, 268, 645, 12099, 3213, 1231, 630, 8042, 289, 1916, 268, 26890, 2419, 664, 630, 309, 4953, 994, 268, 24442, 630, 24535, 994, 268, 26890, 1320, 528, 630, 309, 8025, 302, 994, 268, 1684, 613, 8314, 630, 291, 8104, 292, 1916, 268, 631, 1738, 8416, 630, 7246, 12087, 1916, 289, 12099, 3091, 1489, 585, 2442, 19116, 899, 912, 268, 667, 1662, 630, 291, 23808, 994, 268, 3281, 895, 630, 23490, 1916, 268, 11670, 630, 6630, 290, 994, 268, 21578, 630, 24518, 1916, 268, 700, 924, 8314, 630, 299, 12839, 994, 268, 9315, 8457, 630, 4696, 288, 994, 268, 15328, 21573, 630, 2969, 6865, 994, 5591, 3760, 3091, 9467, 19728, 543, 21797, 585, 1863, 269, 1717, 267, 7446, 645, 12099, 607, 707, 9467, 3760, 786, 2285, 596, 9388, 602, 949, 607, 1134, 581, 1863, 269, 901, 568, 3379, 547, 824, 21888, 15377, 602, 849, 5279, 12375, 543, 862, 3827, 269, 1924, 2484, 267, 519, 5207, 5544, 9467, 13927, 568, 476, 271, 269, 272, 18336, 763, 3760, 3096, 513, 20536, 14121, 6033, 13927, 2497, 269, 3171, 525, 786, 4268, 4470, 593, 9467, 4320, 610, 645, 12099, 3213, 514, 630, 8042, 289, 1040, 3666, 269, 634, 12375, 585, 23194, 602, 4125, 1164, 12531, 616, 3622, 2539, 269, 645, 12099, 14411, 1530, 15247, 8189, 454, 5825, 619, 666, 1205, 28774, 593, 1978, 2533, 267, 543, 713, 568, 711, 782, 269, 6270, 607, 912, 268, 570, 10232, 1210, 645, 12099, 630, 8042, 289, 1070, 11113, 454, 268, 1411, 666, 1831, 513, 15020, 12830, 12287, 630, 309, 7709, 264, 676, 9467, 1978, 7221, 563, 4913, 267, 645, 12099, 3755, 1869, 723, 547, 2628, 3606, 12375, 269, 7756, 12375, 786, 4019, 4470, 593, 799, 1826, 540, 15639, 596, 1118, 543, 1018, 8569, 1505, 596, 946, 269, 1306, 513, 3732, 267, 596, 3277, 547, 519, 5750, 2630, 454, 1103, 513, 2663, 3296, 267, 649, 786, 1865, 12375, 563, 27879, 633, 4747, 689, 21888, 7221, 454, 289, 12099, 13071, 596, 7118, 21888, 7221, 269, 2986, 1576, 267, 891, 2097, 609, 8795, 5232, 540, 1981, 269, 589, 1906, 3681, 1331, 15980, 476, 2004, 260, 6673, 305, 610, 811, 593, 1978, 6939, 657, 538, 922, 588, 1136, 1982, 610, 8380, 7221, 883, 8465, 9806, 6589, 585, 2539, 855, 811, 5812, 3928, 563, 2467, 616, 811, 2139, 588, 1136, 3681, 2139, 593, 519, 3760, 269, 1358, 1256, 2628, 2362, 3928, 982, 1034, 824, 15377, 563, 2791, 666, 849, 7118, 4747, 676, 4946, 28880, 547, 8424, 540, 21797, 267, 855, 713, 568, 513, 1981, 1512, 4781, 269, 898, 568, 909, 547, 596, 547, 6430, 952, 891, 4220, 616, 4502, 2921, 269, 1306, 971, 267, 621, 568, 1271, 547, 1174, 1018, 568, 3238, 543, 1018, 568, 693, 7196, 1354, 17259, 883, 891, 3255, 563, 28723, 29665, 13088, 454, 289, 12099, 779, 4359, 9467, 2934, 1118, 621, 2653, 547, 20688, 707, 9467, 3681, 269, 898, 568, 2241, 547, 1305, 513, 3970, 593, 519, 3902, 693, 799, 596, 666, 4444, 610, 6133, 21888, 269, 898, 1256, 8383, 919, 19444, 3755, 609, 922, 968, 935, 3200, 892, 1599, 563, 763, 4359, 9467, 8818, 814, 513, 2603, 540, 5750, 532, 3681, 602, 616, 513, 10508, 585, 25982, 18318, 269, 589, 11670, 20304, 3296, 2636, 1004, 547, 1179, 3634, 593, 519, 3902, 540, 11670, 563, 763, 3760, 2636, 596, 547, 6133, 11573, 3042, 21797, 538, 4276, 547, 15980, 3255, 609, 7915, 1981, 269, 901, 568, 606, 4316, 585, 5561, 547, 9062, 741, 7158, 538, 513, 1880, 9304, 269, 1306, 7150, 267, 713, 568, 513, 19408, 4640, 1317, 621, 666, 9062, 9271, 543, 949, 1256, 2014, 18318, 547, 6336, 741, 3003, 2990, 563, 763, 645, 12099, 10374, 28172, 454, 8253, 585, 1715, 9812, 454, 289, 12099, 568, 9090, 711, 585, 14987, 269, 898, 568, 513, 7294, 3760, 2813, 609, 4810, 543, 25982, 18318, 538, 2247, 269, 634, 2489, 2832, 540, 519, 3760, 568, 547, 723, 891, 1274, 2996, 11694, 741, 12434, 563, 2171, 5892, 5941, 519, 4359, 9467, 2645, 543, 519, 19408, 3255, 645, 12099, 2488, 922, 3755, 547, 7118, 12809, 4747, 593, 741, 21888, 3180, 902, 269, 1411, 991, 547, 1174, 1018, 891, 1919, 1611, 543, 875, 596, 2461, 1210, 873, 563, 2026, 585, 519, 19408, 3255, 267, 811, 1419, 982, 711, 267, 713, 568, 1141, 19444, 18318, 543, 1007, 9812, 6336, 741, 2724, 269, 898, 3217, 1296, 540, 1995, 543, 4378, 539, 8937, 4743, 547, 1174, 519, 7915, 543, 6456, 4220, 930, 23194, 4163, 609, 873, 563, 2005, 666, 581, 2352, 547, 6330, 519, 5318, 2344, 5542, 543, 538, 3829, 21686, 15236, 6035, 676, 519, 3760, 267, 2523, 585, 1346, 1175, 4358, 856, 538, 21888, 10115, 563, 5629, 596, 616, 6899, 609, 519, 3760, 267, 621, 786, 581, 1360, 2241, 547, 4383, 707, 7221, 269, 4746, 267, 585, 1018, 621, 779, 4502, 267, 645, 12099, 814, 513, 12863, 8818, 2966, 585, 1101, 2389, 574, 619, 269, 898, 849, 2488, 513, 521, 14184, 3872, 4199, 563, 289, 12099, 3884, 1406, 1360, 19444, 7888, 267, 855, 621, 814, 1082, 2200, 602, 666, 948, 1346, 945, 616, 5461, 269, 898, 568, 1869, 711, 513, 3760, 1141, 596, 1175, 4444, 11670, 543, 1287, 1694, 1394, 543, 6001, 269, 645, 12099, 14411, 1530, 15247, 8189, 454, 2026, 4988, 538, 519, 7650, 267, 835, 540, 645, 12099, 779, 1292, 19363, 568, 602, 621, 814, 1044, 538, 519, 3444, 327, 4202, 540, 930, 2477, 269, 898, 568, 4867, 538, 519, 3444, 327, 4202, 540, 1896, 2477, 267, 1519, 3567, 267, 4516, 267, 14135, 543, 17289, 563, 763, 2136, 2276, 8128, 616, 14236, 519, 3760, 585, 1761, 2724, 561, 879, 837, 532, 267, 3454, 859, 5235, 267, 543, 1256, 1202, 3187, 9467, 269, 1924, 2484, 267, 1100, 10997, 723, 1044, 19429, 267, 543, 645, 12099, 814, 17792, 1022, 4636, 4777, 532, 269, 9701, 4376, 2097, 856, 540, 713, 267, 1152, 942, 786, 2995, 563, 289, 12099, 3576, 3268, 547, 2087, 922, 10220, 2319, 267, 543, 1832, 22124, 538, 1899, 269, 901, 1223, 581, 2352, 607, 1082, 540, 519, 2472, 602, 645, 12099, 5561, 2648, 616, 849, 1346, 602, 4482, 9431, 3007, 563, 2005, 568, 711, 2139, 538, 519, 772, 2529, 563, 1103, 3210, 547, 6042, 13389, 645, 12099, 779, 1870, 538, 519, 2136, 2276, 267, 789, 1185, 547, 1628, 513, 5094, 3760, 585, 772, 2529, 269, 5561, 1572, 645, 12099, 269, 4785, 269, 901, 772, 2529, 269, 4528, 540, 645, 12099, 814, 7864, 2934, 543, 19116, 6035, 563, 289, 12099, 269, 4785, 23194, 811, 982, 476, 6344, 19116, 267, 855, 1281, 711, 2709, 20304, 9467, 269, 4746, 267, 621, 19330, 8244, 607, 621, 568, 711, 2139, 547, 519, 2898, 2197, 269, 898, 568, 711, 2139, 538, 16127, 267, 1715, 3840, 610, 7147, 563, 1692, 621, 2353, 3718, 454, 3086, 602, 649, 4076, 2938, 930, 540, 519, 1434, 543, 519, 3983, 540, 645, 12099, 267, 649, 666, 6368, 2911, 827, 875, 621, 1568, 563, 2026, 649, 917, 267, 645, 12099, 3252, 607, 513, 15170, 5385, 269, 898, 3091, 513, 2647, 2039, 540, 2533, 269, 2368, 540, 891, 1331, 912, 268, 11780, 267, 4444, 267, 543, 6133, 15170, 454, 268, 5590, 909, 18596, 1207, 903, 454, 268, 2423, 333, 12809, 4747, 454, 268, 11628, 2934, 899, 21888, 12045, 2472, 267, 7182, 9753, 543, 9263, 3562, 24406, 518, 9467, 616, 2139, 563, 268, 11780, 1875, 1922, 2426, 1043, 21797, 630, 301, 10499, 338, 994, 268, 12160, 622, 538, 645, 12099, 779, 32374, 25247, 543, 32374, 23051, 547, 1205, 4598, 547, 1007, 6939, 657, 454, 268, 7457, 14769, 4030, 267, 7132, 2661, 9477, 543, 25887, 454, 268, 5901, 3950, 540, 707, 3454, 13800, 609, 922, 3454, 8989, 1907, 454, 2005, 568, 1271, 547, 3314, 602, 1082, 9431, 8041, 1472, 519, 8608, 723, 1044, 2519, 593, 645, 12099, 779, 2647, 2039, 540, 2472, 269, 2201, 741, 2427, 267, 645, 12099, 1281, 24633, 3755, 540, 519, 4220, 3238, 609, 10115, 538, 519, 3760, 563, 2005, 849, 814, 606, 4550, 268, 5417, 2109, 4259, 1175, 538, 2013, 3755, 1831, 1932, 3238, 609, 9467, 269, 1879, 513, 911, 1457, 23119, 5230, 9271, 610, 513, 6024, 9561, 1792, 752, 267, 519, 1062, 19595, 519, 3593, 540, 519, 1981, 3238, 538, 16755, 9467, 269, 898, 7512, 873, 547, 1964, 543, 3180, 1394, 593, 741, 9467, 2238, 563, 763, 3760, 11099, 3743, 18318, 1058, 581, 2565, 543, 1832, 2933, 538, 2638, 547, 2057, 5739, 4430, 525, 899, 31017, 9467, 610, 13989, 563, 4322, 616, 1175, 23106, 269, 4825, 841, 9520, 786, 6038, 6430, 875, 547, 4383, 1981, 543, 1141, 789, 1058, 1902, 741, 2724, 563, 14294, 909, 585, 707, 645, 12099, 2272, 454, 2005, 3217, 1175, 3764, 547, 1711, 543, 11578, 707, 645, 12099, 2272, 269, 1411, 616, 849, 2016, 519, 3903, 540, 1079, 2010, 540, 6589, 281, 7638, 1881, 543, 796, 591, 1881, 6589, 563, 2690, 796, 591, 1881, 3755, 454, 268, 19193, 593, 519, 645, 12099, 1753, 2457, 454, 268, 9373, 19478, 2232, 454, 268, 5590, 909, 513, 10957, 454, 268, 20504, 645, 12099, 779, 16301, 543, 17148, 540, 2422, 454, 268, 8437, 968, 8620, 10055, 7536, 268, 19193, 676, 4757, 547, 6166, 707, 14261, 454, 2690, 7638, 1881, 32439, 454, 268, 19193, 585, 606, 796, 591, 1881, 2272, 563, 268, 8298, 538, 547, 707, 2272, 454, 268, 3619, 547, 14871, 4741, 543, 4945, 14740, 7638, 2305, 454, 268, 7994, 9608, 454, 268, 7490, 6445, 538, 707, 3877, 454, 268, 8564, 606, 9517, 1826, 547, 13182, 3561, 13597, 267, 971, 607, 513, 10426, 1636, 543, 30905, 779, 6132, 775, 454, 268, 6875, 513, 8666, 610, 14202, 513, 3758, 540, 707, 3561, 454, 268, 6875, 513, 4605, 540, 3054, 454, 268, 8437, 6166, 1310, 596, 723, 23345, 519, 3561, 543, 3239, 563, 268, 645, 12099, 786, 1287, 2689, 621, 607, 4166, 607, 2009, 269, 645, 12099, 14411, 1530, 15247, 8189, 454, 5804, 1287, 593, 267, 596, 786, 723, 547, 7227, 585, 606, 4757, 689, 645, 12099, 547, 2327, 602, 707, 2272, 814, 1044, 20240, 563, 289, 12099, 2488, 513, 2647, 2039, 540, 9467, 2645, 267, 607, 649, 723, 2907, 5018, 269, 1452, 2645, 1331, 1483, 6066, 5750, 532, 609, 3001, 25939, 610, 12825, 3001, 25939, 269, 570, 10232, 666, 849, 581, 1500, 2653, 543, 3015, 998, 519, 645, 12099, 5985, 813, 267, 645, 12099, 3896, 610, 645, 12099, 18376, 3498, 563, 307, 2784, 619, 666, 849, 946, 519, 3760, 547, 1413, 693, 741, 2823, 31987, 543, 4123, 1686, 269, 1358, 666, 2070, 519, 1931, 1433, 543, 3902, 12125, 269, 1411, 666, 849, 3442, 689, 513, 3099, 540, 1931, 2010, 269, 1411, 666, 1747, 3247, 9753, 267, 3970, 9753, 543, 3247, 29438, 527, 9753, 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 ]
[ 3170, 1475, 279, 1475, 326, 347, 0, 1692, 4024, 634, 17807, 7736, 286, 2060, 1412, 14937, 667, 17768, 8111, 2617, 2801, 3299, 590, 904, 5530, 454, 15703, 6436, 547, 4266, 8774, 1769, 593, 519, 1585, 7399, 540, 875, 519, 7122, 1131, 1439, 269, 18766, 689, 519, 1455, 10206, 602, 621, 1131, 4755, 1259, 2250, 519, 2085, 540, 3425, 267, 1169, 835, 540, 891, 6436, 568, 2247, 1532, 17344, 1782, 538, 3294, 269, 769, 513, 1007, 1382, 267, 3744, 723, 1631, 4843, 9273, 585, 835, 540, 873, 910, 835, 5473, 3109, 21221, 31975, 2801, 563, 763, 1007, 1353, 30363, 676, 20917, 6970, 17839, 267, 13930, 7548, 540, 6323, 693, 13325, 3557, 2160, 267, 814, 1631, 1044, 3370, 538, 519, 13600, 569, 3502, 1182, 540, 519, 9576, 13562, 13929, 5980, 269, 898, 6212, 593, 519, 10206, 602, 519, 7122, 786, 5555, 2196, 856, 540, 1648, 267, 606, 2680, 17941, 2048, 17742, 2669, 685, 610, 519, 2048, 15927, 28306, 19028, 28959, 12280, 7869, 454, 763, 7122, 568, 1634, 547, 581, 538, 513, 3586, 1533, 540, 7269, 269, 901, 6024, 7269, 568, 10567, 547, 3142, 593, 519, 10700, 2669, 540, 519, 7122, 563, 763, 3002, 2669, 3069, 5267, 602, 1813, 547, 23822, 618, 267, 519, 5860, 540, 519, 7122, 786, 6175, 267, 547, 513, 1448, 602, 519, 3154, 2838, 547, 1106, 1007, 6801, 786, 2196, 6094, 269, 3143, 1007, 6801, 786, 581, 4535, 689, 713, 1448, 593, 563, 30631, 1302, 267, 4540, 6801, 786, 1376, 12955, 543, 950, 789, 782, 5884, 267, 741, 3788, 2059, 609, 3109, 9475, 267, 23377, 6801, 543, 3043, 546, 8705, 12028, 786, 581, 519, 1152, 1919, 2451, 563, 14937, 667, 17768, 25578, 454, 2467, 616, 1079, 1634, 2081, 513, 5182, 7475, 922, 1272, 269, 16270, 741, 2085, 267, 7372, 6801, 1011, 1712, 538, 31975, 2801, 602, 3762, 3297, 513, 3109, 8559, 610, 513, 23377, 5182, 269, 9540, 518, 6801, 267, 899, 938, 6129, 267, 3079, 4228, 6385, 267, 5555, 16756, 532, 1394, 1524, 883, 3043, 546, 8705, 12028, 563, 4322, 3043, 546, 8705, 12028, 2356, 1810, 1406, 723, 519, 2527, 547, 979, 31975, 320, 269, 1924, 789, 7444, 3579, 1524, 547, 519, 4282, 2837, 540, 2230, 267, 5555, 4742, 4411, 267, 3109, 21221, 6801, 269, 4595, 519, 1184, 3217, 959, 650, 687, 540, 1296, 543, 519, 7122, 568, 1869, 1152, 1472, 476, 1724, 269, 279, 5479, 1296, 2025, 267, 621, 786, 581, 513, 1247, 1354, 519, 1101, 3109, 21221, 568, 2938, 563, 1103, 1010, 1353, 267, 6970, 17839, 23456, 693, 606, 24666, 2680, 602, 786, 2049, 1256, 1310, 782, 519, 6801, 2490, 883, 741, 3109, 21221, 1533, 269, 6970, 17839, 5267, 602, 1256, 1498, 621, 1131, 581, 1360, 4411, 543, 8754, 621, 1131, 1491, 513, 1360, 1360, 1279, 942, 267, 12760, 786, 5555, 1491, 1747, 538, 891, 3109, 546, 8705, 1407, 1932, 563, 25519, 17839, 19528, 7061, 15993, 532, 547, 581, 3743, 585, 713, 563, 23797, 636, 15993, 532, 568, 513, 7613, 6045, 676, 7061, 6323, 602, 814, 1100, 7778, 538, 8106, 6323, 269, 898, 568, 519, 13113, 5506, 540, 513, 9325, 547, 3444, 513, 11064, 267, 799, 621, 1223, 2760, 3444, 607, 829, 519, 3741, 540, 8106, 6323, 563, 25519, 17839, 28352, 713, 7744, 540, 7061, 15993, 532, 538, 519, 2013, 540, 519, 3109, 21221, 5182, 269, 769, 513, 3109, 21221, 267, 1256, 1498, 972, 1058, 711, 581, 2614, 1648, 585, 713, 267, 22140, 3330, 621, 1223, 31380, 25146, 1927, 267, 5555, 3056, 547, 513, 31975, 320, 1175, 899, 1346, 538, 519, 7372, 6801, 563, 2026, 829, 513, 1867, 676, 11545, 8648, 267, 6970, 17839, 19528, 602, 968, 21671, 519, 1034, 7372, 3109, 546, 8705, 12028, 267, 827, 476, 272, 269, 273, 547, 476, 272, 269, 275, 2053, 519, 2527, 540, 519, 6129, 267, 786, 9514, 6100, 968, 10214, 609, 1360, 3500, 6046, 6547, 267, 938, 6129, 1869, 3085, 1406, 723, 2614, 2527, 547, 2479, 1011, 1712, 538, 513, 31975, 320, 267, 1256, 538, 519, 2484, 2484, 2104, 2223, 646, 2417, 8591, 269, 0, 31528, 543, 10656, 5678, 7731, 454, 1103, 5259, 543, 10656, 1686, 267, 596, 786, 1205, 547, 917, 827, 5259, 543, 10656, 1893, 1920, 269, 3619, 998, 782, 4654, 799, 4866, 547, 25812, 268, 2026, 328, 1738, 19932, 543, 20997, 4211, 784, 334, 19932, 543, 2263, 811, 827, 873, 269, 589, 1893, 1920, 568, 3989, 607, 1895, 540, 4654, 602, 616, 6508, 689, 1455, 11937, 269, 5259, 568, 513, 851, 540, 21475, 26049, 7731, 1247, 10656, 568, 513, 851, 540, 21475, 26049, 7731, 269, 634, 32299, 543, 7936, 540, 5259, 568, 18774, 21329, 543, 3502, 12232, 1365, 269, 634, 32299, 543, 7936, 540, 10656, 568, 27272, 543, 5375, 1365, 269, 5678, 3885, 616, 1016, 323, 22866, 883, 4130, 4559, 269, 14644, 338, 1031, 676, 891, 4654, 849, 4096, 2390, 741, 1920, 269, 6744, 856, 519, 20072, 1031, 538, 5259, 543, 10656, 1893, 593, 5259, 5288, 10656, 26897, 269, 1411, 666, 849, 1265, 799, 568, 519, 1034, 4922, 9275, 1893, 538, 519, 1158, 593, 4107, 1975, 7505, 19932, 563, 31528, 5288, 10656, 5678, 24419, 454, 2005, 779, 2731, 4277, 547, 1265, 856, 5259, 5288, 10656, 1893, 7584, 269, 5259, 543, 10656, 1686, 3947, 596, 5259, 543, 10656, 1893, 7584, 269, 634, 5259, 1893, 7584, 568, 476, 10619, 269, 1656, 10656, 1893, 7584, 568, 476, 4366, 269, 634, 1893, 799, 568, 693, 519, 2362, 2990, 814, 5021, 1297, 540, 5065, 10529, 269, 1403, 596, 1616, 547, 917, 519, 1297, 540, 5065, 10529, 1287, 979, 547, 5259, 5288, 10656, 269, 0, 1432, 616, 519, 10898, 1336, 693, 1753, 888, 295, 1794, 1841, 538, 519, 1753, 454, 268, 9605, 269, 674, 2231, 693, 1753, 666, 581, 3810, 5906, 267, 711, 1152, 547, 707, 3959, 855, 849, 547, 596, 543, 519, 1004, 596, 2661, 609, 563, 268, 7313, 2581, 532, 269, 11153, 7622, 3688, 1459, 15464, 4220, 267, 971, 607, 7738, 543, 5826, 7727, 267, 6527, 543, 4620, 1503, 563, 1432, 616, 519, 476, 1015, 10898, 538, 519, 2777, 888, 1015, 1034, 1455, 1753, 3106, 10898, 454, 268, 670, 4474, 27871, 269, 4354, 1555, 543, 9420, 27871, 949, 3100, 20027, 2614, 855, 789, 666, 1193, 4120, 513, 1762, 1126, 267, 609, 13249, 2164, 563, 268, 6215, 2354, 267, 15143, 543, 8813, 563, 268, 7313, 11143, 267, 6527, 543, 6464, 563, 268, 15379, 10898, 563, 1432, 616, 10898, 538, 5127, 7741, 888, 20228, 2354, 267, 31590, 1186, 1299, 22484, 454, 268, 3004, 4979, 15791, 267, 10690, 2564, 8685, 532, 610, 12016, 1289, 30518, 267, 6049, 27871, 610, 2780, 15791, 563, 268, 22911, 31868, 2044, 7252, 552, 3052, 269, 1813, 547, 682, 1136, 12853, 7006, 839, 619, 267, 1216, 267, 10729, 610, 1426, 563, 268, 16959, 31868, 2044, 7252, 552, 3052, 269, 1813, 547, 7452, 267, 512, 659, 331, 636, 8869, 610, 5068, 28277, 563, 268, 19768, 540, 1124, 22806, 563, 268, 2667, 12371, 13417, 1737, 344, 7264, 563, 1432, 616, 519, 10898, 538, 4070, 888, 295, 1794, 1841, 538, 14716, 543, 741, 2079, 1452, 666, 4755, 1813, 547, 6850, 322, 1081, 267, 9991, 689, 4463, 267, 7063, 689, 2645, 267, 3937, 543, 6191, 282, 1373, 5734, 676, 3001, 4070, 6472, 267, 7063, 689, 8261, 7829, 4238, 267, 4576, 1813, 547, 13818, 6219, 971, 607, 7452, 267, 6464, 267, 4586, 1432, 616, 519, 476, 1015, 2010, 540, 10898, 888, 12749, 476, 1015, 8881, 18171, 1841, 454, 268, 8881, 32126, 476, 273, 1923, 6215, 2354, 543, 10222, 1186, 269, 22911, 19683, 16280, 267, 610, 476, 5390, 19683, 13964, 267, 666, 2014, 596, 547, 17277, 563, 268, 8881, 32126, 476, 274, 1923, 22484, 563, 268, 8881, 32126, 476, 275, 1923, 674, 2231, 563, 268, 8881, 32126, 476, 276, 1923, 9197, 5241, 563, 268, 8881, 32126, 476, 277, 1923, 32126, 748, 11906, 338, 563, 268, 8881, 32126, 476, 280, 1923, 12096, 532, 27014, 563, 1432, 616, 519, 476, 276, 10898, 888, 5308, 11190, 779, 476, 276, 31071, 18171, 1841, 454, 268, 8881, 269, 8881, 10898, 7854, 1022, 1826, 540, 6219, 267, 2783, 610, 1843, 602, 666, 3614, 675, 4600, 563, 268, 11906, 269, 20709, 666, 581, 6534, 547, 6464, 538, 15559, 267, 9362, 267, 22643, 832, 267, 32669, 543, 28634, 2326, 563, 1432, 616, 519, 1806, 540, 10898, 888, 874, 9713, 1107, 5982, 267, 6419, 4610, 267, 2604, 26037, 630, 14683, 2604, 610, 12511, 1070, 6846, 267, 3092, 1421, 26447, 1107, 2566, 267, 5208, 267, 3092, 1421, 3106, 1107, 1793, 6235, 14121, 686, 6137, 10898, 267, 20025, 3684, 1368, 8973, 267, 3937, 23659, 17313, 610, 2736, 23957, 563, 1432, 616, 519, 1034, 1455, 3106, 10898, 693, 1753, 888, 32552, 693, 5851, 281, 476, 1015, 5871, 8881, 18171, 1841, 1472, 519, 5600, 1107, 13773, 306, 12522, 3820, 269, 476, 272, 476, 272, 269, 22484, 269, 476, 273, 476, 273, 269, 7313, 2581, 532, 269, 476, 274, 476, 274, 269, 12539, 3933, 6448, 269, 476, 275, 476, 275, 269, 9605, 18171, 1841, 269, 476, 276, 476, 276, 269, 667, 20621, 563, 1692, 616, 1072, 543, 3106, 10898, 1644, 547, 8027, 888, 10112, 31757, 543, 1121, 2664, 908, 1072, 543, 3106, 4220, 538, 8027, 2882, 9301, 10898, 267, 12570, 741, 2956, 267, 543, 9013, 610, 14874, 873, 269, 7743, 4879, 540, 10898, 666, 948, 707, 1982, 1847, 547, 606, 2963, 268, 1759, 5542, 540, 6304, 14422, 543, 11694, 519, 1764, 540, 3908, 2200, 585, 8027, 7459, 563, 1432, 1058, 581, 3769, 538, 513, 1753, 3106, 3391, 888, 12024, 1082, 1919, 267, 1753, 3106, 5956, 609, 4656, 269, 901, 3391, 568, 2966, 547, 948, 21427, 2697, 543, 2569, 9651, 4220, 538, 741, 4036, 1878, 269, 13018, 267, 649, 786, 979, 936, 1283, 1753, 10898, 267, 2409, 585, 14237, 513, 10930, 1753, 267, 7622, 13802, 267, 543, 519, 12178, 602, 3214, 543, 4587, 4079, 3068, 563, 1692, 1082, 1004, 5884, 689, 28824, 1753, 10898, 888, 7093, 1203, 762, 1753, 10898, 2014, 1082, 7063, 543, 7972, 269, 769, 2013, 596, 941, 11842, 2507, 769, 476, 1001, 279, 267, 811, 982, 476, 273, 2929, 15464, 13685, 941, 4080, 547, 8914, 1852, 7740, 18487, 269, 2290, 540, 1169, 2947, 4587, 4079, 945, 8813, 2771, 1622, 513, 7745, 5642, 267, 2212, 5945, 267, 610, 824, 3978, 7063, 269, 0, 25898, 596, 4766, 1018, 606, 5711, 9584, 568, 543, 1018, 596, 616, 3168, 585, 888, 7804, 269, 11023, 1066, 5062, 11390, 1197, 281, 4270, 267, 2356, 950, 649, 3277, 547, 606, 5711, 9584, 824, 982, 513, 6093, 4791, 5959, 6514, 267, 649, 2461, 6158, 827, 17265, 519, 5023, 585, 3676, 543, 2619, 3098, 602, 616, 513, 2603, 811, 1713, 543, 3978, 982, 1175, 9178, 610, 10733, 2068, 269, 634, 1297, 835, 3077, 649, 2461, 2141, 3168, 585, 267, 2141, 593, 4585, 267, 3843, 547, 1265, 543, 23248, 649, 2760, 1265, 621, 267, 568, 5711, 2860, 269, 1656, 602, 779, 2356, 1018, 649, 2461, 6158, 827, 950, 649, 3277, 547, 5711, 32182, 563, 1432, 1826, 540, 5711, 11871, 616, 972, 888, 7804, 269, 11023, 1066, 5062, 11390, 1197, 281, 4270, 267, 538, 1250, 6644, 267, 972, 779, 1152, 835, 1826, 540, 5711, 2860, 1107, 3983, 2860, 269, 17859, 540, 519, 1114, 2010, 540, 11871, 602, 616, 856, 972, 267, 9039, 540, 873, 616, 1434, 543, 789, 782, 723, 547, 581, 16701, 5344, 269, 1358, 782, 991, 547, 581, 5701, 269, 7183, 540, 873, 1058, 2479, 581, 14478, 610, 968, 4131, 779, 1832, 606, 3750, 593, 602, 892, 865, 789, 782, 2887, 883, 519, 1482, 7121, 607, 2484, 607, 594, 6557, 7255, 269, 8347, 547, 2760, 267, 2479, 1265, 835, 269, 11408, 1413, 585, 873, 855, 952, 596, 798, 5386, 835, 267, 596, 666, 1406, 1694, 593, 621, 269, 1411, 723, 547, 723, 2126, 543, 789, 782, 991, 547, 581, 6569, 563, 3674, 5711, 2860, 1521, 762, 952, 9575, 538, 519, 2038, 5933, 888, 7804, 269, 11023, 1066, 5062, 11390, 1197, 281, 2334, 568, 835, 540, 519, 1034, 1271, 2055, 4440, 540, 782, 269, 17327, 2860, 267, 952, 9575, 2038, 2614, 267, 568, 835, 540, 519, 1034, 3362, 16701, 5344, 11871, 602, 568, 856, 972, 269, 1411, 4894, 621, 269, 1403, 621, 779, 1507, 2614, 267, 621, 779, 8854, 585, 1434, 2356, 269, 30052, 267, 649, 723, 547, 6895, 269, 6884, 596, 2461, 711, 2386, 952, 621, 779, 782, 1044, 16701, 5344, 269, 1703, 779, 2141, 513, 4960, 602, 621, 1522, 581, 513, 2370, 8273, 982, 649, 1589, 543, 621, 1223, 723, 22037, 553, 1242, 883, 824, 2127, 269, 898, 1223, 723, 1044, 10299, 883, 519, 9726, 9136, 855, 952, 596, 1265, 621, 2038, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 335, 665, 564, 318, 15488, 28325, 815, 703, 9272, 2891, 303, 665, 564, 27632, 611, 28325, 27363, 335, 665, 564, 20189, 341, 773, 345, 323, 545, 773, 330, 815, 703, 9272, 2891, 303, 665, 564, 554, 341, 773, 345, 323, 545, 773, 330, 8442, 2020, 1721, 1775, 538, 2039, 263, 272, 28872, 665, 564, 318, 15488, 28325, 266, 272, 2187, 825, 1820, 9217, 267, 1439, 6889, 476, 19515, 825, 1820, 2891, 30995, 2580, 1439, 284, 2891, 27363, 825, 1820, 2891, 265, 257, 265, 335, 665, 564, 20189, 341, 773, 345, 323, 545, 773, 330, 264, 0, 5814, 28184, 5793, 476, 7531, 10174, 815, 28184, 5793, 11053, 330, 4590, 4754, 11663, 815, 28184, 5793, 269, 4692, 11663, 20172, 267, 8700, 815, 476, 8517, 267, 4463, 815, 476, 8517, 994, 4754, 11663, 4877, 871, 10797, 4364, 345, 815, 476, 1015, 454, 1721, 1775, 538, 2039, 263, 272, 267, 1321, 2187, 825, 1820, 9217, 265, 1015, 994, 825, 17198, 269, 22056, 318, 1467, 263, 1015, 266, 4364, 345, 265, 328, 267, 328, 265, 4364, 345, 267, 6110, 266, 4364, 345, 265, 328, 267, 328, 265, 4364, 345, 994, 825, 1199, 345, 23785, 273, 19638, 19638, 19638, 10174, 6230, 664, 31467, 3890, 0, 333, 815, 703, 9272, 2891, 333, 815, 27328, 1695, 327, 815, 476, 273, 7531, 1721, 1535, 538, 2039, 263, 271, 267, 562, 266, 272, 2187, 825, 952, 1535, 2652, 476, 271, 912, 1038, 1820, 2891, 476, 14307, 754, 284, 3269, 994, 825, 8640, 1535, 283, 1015, 912, 1038, 1820, 6600, 257, 1475, 346, 343, 348, 14307, 754, 284, 3269, 994, 825, 3116, 912, 1038, 1820, 6600, 257, 1475, 346, 343, 348, 2580, 754, 284, 3269, 994, 2745, 4590, 2745, 2891, 1693, 257, 16732, 333, 266, 272, 1070, 754, 284, 3269, 994, 2745, 4590, 2745, 2891, 1693, 257, 16732, 333, 266, 272, 1070, 754, 284, 3269, 994, 2745, 4590, 1721, 1775, 538, 2039, 263, 272, 19885, 266, 272, 2187, 825, 952, 1775, 283, 1015, 912, 1038, 1820, 9217, 267, 754, 6889, 1923, 5602, 825, 3116, 912, 1038, 1820, 9217, 267, 754, 6889, 347, 5602, 13872, 825, 585, 1535, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 13872, 1038, 952, 1775, 20080, 2999, 1015, 912, 2018, 1820, 6600, 257, 347, 476, 2715, 328, 20080, 348, 2580, 754, 284, 3269, 994, 27030, 1038, 8640, 1775, 20080, 2999, 1911, 912, 2018, 1820, 6600, 257, 347, 2715, 328, 20080, 348, 2580, 1439, 284, 3269, 994, 27030, 1038, 3116, 912, 2018, 1820, 6600, 257, 347, 346, 328, 20080, 348, 257, 2073, 1439, 284, 3269, 994, 825, 1820, 4590, 825, 1820, 2891, 1693, 257, 16732, 333, 266, 272, 1070, 754, 284, 3269, 994, 825, 1820, 4590, 672, 0, 5228, 2979, 1104, 21762, 692, 2745, 2891, 345, 611, 1690, 32748, 1030, 17087, 344, 5602, 320, 815, 10581, 9272, 2891, 345, 611, 1690, 513, 815, 27328, 321, 815, 10581, 9272, 2891, 345, 611, 1690, 513, 815, 27328, 322, 815, 10581, 9272, 2891, 345, 611, 1690, 513, 815, 834, 11723, 291, 815, 630, 321, 1262, 273, 264, 910, 630, 275, 265, 320, 265, 322, 2020, 343, 272, 815, 476, 271, 454, 343, 273, 815, 476, 271, 454, 604, 667, 2999, 271, 912, 825, 1820, 2891, 301, 655, 5451, 678, 625, 523, 773, 5602, 19197, 667, 2652, 476, 271, 912, 825, 1535, 272, 815, 5180, 263, 8987, 321, 8358, 273, 265, 320, 267, 273, 994, 825, 1820, 6600, 257, 305, 990, 333, 3821, 12103, 795, 539, 7224, 678, 625, 523, 773, 2715, 343, 272, 348, 5602, 12828, 912, 825, 1535, 272, 815, 5180, 263, 8987, 321, 1341, 21762, 20573, 4297, 270, 273, 265, 320, 267, 273, 994, 825, 1535, 273, 815, 5180, 263, 8987, 321, 910, 21762, 20573, 4297, 270, 273, 265, 320, 267, 273, 994, 825, 1820, 6600, 257, 298, 648, 928, 887, 341, 333, 823, 521, 14243, 2715, 343, 272, 348, 513, 2715, 343, 273, 348, 8442, 0, 2745, 9497, 29551, 8563, 29391, 4138, 16021, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21170, 13150, 9841, 14359, 12811, 7846, 6459, 3264, 8563, 9924, 17153, 24893, 25986, 3264, 6459, 24893, 3264, 16417, 13194, 17095, 20977, 8563, 4138, 20732, 7846, 9373, 26142, 333, 396, 356, 4344, 29652, 9924, 30935, 7549, 32648, 10948, 4138, 31224, 267, 11714, 8563, 29391, 4138, 16021, 476, 271, 1701, 3418, 331, 815, 1496, 15947, 320, 284, 272, 1477, 6112, 513, 256, 284, 271, 2433, 1477, 825, 513, 25507, 9272, 3890, 3418, 825, 561, 6910, 5416, 3418, 321, 284, 271, 1477, 1721, 513, 538, 561, 2433, 1477, 825, 536, 23785, 320, 265, 320, 1477, 2745, 9497, 396, 350, 7846, 9261, 9261, 3522, 17095, 27593, 9686, 13077, 4344, 13833, 11714, 8563, 29391, 397, 495, 4709, 21162, 17153, 24893, 25986, 3264, 6459, 281, 14307, 536, 10142, 0, 5228, 536, 5459, 12459, 5459, 318, 583, 559, 1104, 13907, 454, 5228, 533, 2096, 784, 334, 1104, 15216, 334, 5141, 1304, 692, 743, 1304, 815, 15216, 334, 5141, 1304, 3488, 29985, 10676, 3299, 476, 17734, 1704, 11850, 27219, 815, 7817, 14389, 6021, 454, 3712, 3005, 815, 24563, 269, 6135, 4768, 1218, 692, 604, 630, 3712, 3005, 29644, 3890, 2652, 476, 271, 2187, 825, 535, 815, 1930, 2891, 1440, 25534, 1673, 21648, 564, 12459, 5459, 2580, 834, 337, 5602, 825, 1239, 815, 535, 18667, 6050, 4590, 825, 585, 1899, 538, 1239, 912, 1038, 4015, 27044, 318, 821, 263, 2903, 338, 263, 1467, 11723, 3698, 1265, 289, 528, 965, 263, 28386, 2187, 825, 1267, 815, 4015, 26098, 20719, 257, 28386, 257, 2433, 18664, 965, 348, 994, 825, 1820, 19629, 333, 5472, 14060, 538, 519, 18664, 965, 834, 1341, 18664, 965, 1341, 27719, 333, 5602, 825, 585, 1747, 538, 1267, 912, 1038, 1820, 263, 2897, 14277, 4067, 19312, 2020, 258, 22772, 289, 528, 965, 2891, 29662, 758, 14979, 15419, 3698, 1265, 313, 760, 18750, 760, 24927, 2187, 825, 1267, 815, 4015, 26098, 20719, 257, 5417, 816, 269, 32502, 13892, 257, 2433, 23407, 24927, 348, 994, 825, 1820, 19629, 333, 5472, 14060, 609, 519, 23407, 3009, 834, 1341, 32502, 24927, 1341, 27719, 333, 5602, 825, 585, 1747, 538, 1267, 912, 1038, 1820, 263, 2897, 14277, 4067, 19312, 2020, 258, 22772, 313, 760, 2891, 10441, 7830, 15419, 3698, 1265, 313, 760, 22706, 18750, 760, 24927, 267, 3446, 2187, 825, 1267, 815, 4015, 26098, 20719, 257, 5417, 816, 269, 32502, 13892, 257, 2433, 23407, 24927, 267, 834, 326, 10232, 3052, 8565, 257, 2433, 3446, 348, 994, 825, 1820, 19629, 333, 5472, 14060, 609, 519, 23407, 3009, 834, 1341, 23407, 24927, 1341, 834, 543, 3446, 834, 1341, 3446, 1341, 27719, 333, 5602, 825, 585, 1747, 538, 1267, 912, 1038, 1820, 263, 2897, 14277, 4067, 19312, 2020, 258, 22772, 313, 760, 22706, 2891, 10441, 7830, 2580, 834, 288, 15419, 3698, 1265, 313, 760, 30360, 18750, 760, 24927, 267, 6060, 2567, 3097, 825, 1267, 815, 4015, 26098, 20719, 257, 5417, 816, 269, 32502, 13892, 257, 2433, 23407, 24927, 267, 834, 326, 10232, 269, 16557, 257, 2433, 2715, 257, 259, 2741, 257, 2433, 6060, 3686, 994, 825, 1820, 19629, 333, 5472, 14060, 609, 519, 23407, 3009, 834, 1341, 23407, 24927, 1341, 834, 543, 6060, 2630, 834, 1341, 1193, 263, 16557, 264, 1341, 27719, 333, 5602, 825, 585, 1747, 538, 1267, 912, 1038, 1820, 263, 2897, 14277, 4067, 19312, 2020, 258, 22772, 313, 760, 30360, 2891, 10441, 7830, 2580, 476, 272, 994, 0, 18411, 305, 2086, 531, 568, 513, 1297, 538, 799, 519, 2040, 540, 2063, 1079, 9704, 540, 3097, 602, 1297, 568, 2789, 540, 476, 275, 269, 3097, 2659, 4116, 814, 2016, 596, 519, 4305, 547, 1118, 513, 1592, 540, 19856, 531, 2338, 563, 567, 2659, 4305, 568, 547, 2995, 2436, 519, 1297, 568, 19856, 531, 610, 711, 780, 9616, 2433, 952, 519, 1297, 568, 2942, 982, 19856, 531, 3097, 476, 568, 513, 1297, 799, 814, 2040, 540, 1101, 543, 2063, 7857, 607, 2789, 540, 476, 275, 567, 692, 19152, 13517, 912, 5575, 1899, 3568, 606, 3403, 562, 692, 20479, 13517, 912, 19530, 8786, 610, 3143, 8528, 25456, 18452, 10778, 736, 454, 25456, 19243, 10778, 5591, 692, 18257, 692, 333, 815, 703, 9272, 15405, 637, 815, 1412, 5591, 7055, 604, 2612, 3799, 264, 13843, 1015, 543, 562, 3436, 476, 271, 10778, 825, 513, 815, 562, 260, 1911, 454, 825, 952, 513, 260, 275, 2525, 271, 10778, 1038, 759, 815, 1412, 8133, 7055, 19197, 2612, 3799, 264, 13843, 1015, 543, 562, 2999, 476, 271, 10778, 825, 521, 815, 1193, 263, 11274, 3799, 4917, 825, 513, 815, 703, 4433, 314, 271, 8079, 1341, 703, 4433, 15631, 272, 7481, 825, 952, 513, 260, 275, 2525, 271, 10778, 1038, 759, 815, 1412, 8133, 7055, 2745, 263, 637, 267, 754, 284, 5257, 264, 0, 18411, 4131, 623, 2099, 7433, 267, 681, 2099, 9412, 543, 590, 2099, 2480, 19538, 563, 476, 9717, 476, 273, 856, 540, 519, 476, 274, 3313, 799, 17993, 3799, 5436, 3652, 2433, 533, 1040, 1403, 922, 513, 2721, 1820, 667, 563, 25456, 4530, 13826, 10778, 2562, 303, 7473, 454, 305, 623, 454, 5495, 9143, 7473, 454, 303, 454, 18257, 692, 320, 267, 330, 284, 6358, 14061, 20889, 4590, 604, 630, 320, 568, 1412, 305, 262, 543, 737, 568, 262, 303, 10807, 610, 5416, 568, 1412, 303, 262, 543, 737, 568, 262, 305, 262, 2187, 825, 1820, 2891, 303, 2580, 754, 284, 3269, 994, 19197, 630, 320, 568, 1412, 305, 262, 543, 737, 568, 1412, 306, 10807, 610, 630, 320, 568, 1412, 306, 262, 543, 737, 568, 1412, 305, 262, 2187, 825, 1820, 2891, 305, 2580, 754, 284, 3269, 994, 19197, 630, 320, 568, 834, 303, 257, 543, 737, 568, 1412, 306, 10807, 610, 630, 320, 568, 1412, 306, 262, 543, 737, 568, 834, 335, 257, 2187, 825, 1820, 2891, 306, 2580, 754, 284, 3269, 994, 19197, 630, 320, 568, 834, 305, 257, 543, 737, 568, 834, 305, 8442, 610, 630, 320, 568, 834, 306, 257, 543, 737, 568, 834, 306, 8442, 610, 630, 320, 568, 834, 303, 257, 543, 737, 568, 834, 303, 257, 2187, 825, 1820, 2891, 291, 2580, 754, 284, 3269, 264, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 7531, 5035, 590, 17247, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 7183, 454, 1038, 1582, 6745, 841, 815, 7183, 692, 825, 1219, 7696, 520, 321, 1122, 4311, 267, 1871, 2187, 1038, 952, 630, 1345, 23584, 2652, 7183, 2187, 2018, 1582, 23584, 815, 1582, 6745, 841, 815, 19219, 263, 7407, 994, 1038, 3116, 912, 2018, 1007, 27161, 815, 19219, 263, 7407, 994, 2018, 1007, 27161, 12785, 815, 1582, 23584, 454, 2018, 1582, 23584, 815, 1007, 27161, 692, 825, 1219, 7696, 520, 754, 4311, 267, 1871, 2187, 1038, 952, 630, 1345, 23584, 2652, 7183, 2187, 2018, 1582, 23584, 815, 1582, 6745, 841, 815, 19219, 263, 7407, 994, 1038, 3116, 912, 2018, 1007, 27161, 815, 19219, 263, 7407, 994, 2018, 1582, 6745, 841, 12785, 815, 1007, 27161, 454, 2018, 1582, 6745, 841, 815, 1007, 27161, 692, 825, 1219, 7696, 520, 1842, 4311, 267, 2990, 267, 1871, 2187, 1038, 10917, 815, 1582, 23584, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 2990, 910, 476, 272, 2187, 2018, 10917, 815, 10917, 12785, 454, 1038, 1007, 27161, 815, 19219, 263, 7407, 994, 1038, 1007, 27161, 12785, 815, 10917, 12785, 454, 1038, 10917, 12785, 815, 1007, 27161, 454, 1038, 10917, 815, 7183, 692, 825, 1219, 4159, 4311, 2187, 1038, 10917, 815, 1582, 23584, 454, 1038, 1247, 630, 31184, 568, 711, 7183, 2187, 2018, 1820, 6025, 11391, 21606, 267, 1439, 6889, 19515, 2018, 10917, 815, 10917, 12785, 7531, 338, 815, 590, 17247, 4590, 338, 27044, 520, 321, 1122, 263, 1015, 994, 338, 27044, 520, 321, 1122, 263, 736, 994, 338, 27044, 520, 321, 1122, 263, 1789, 994, 338, 27044, 520, 754, 263, 8660, 994, 338, 27044, 520, 754, 263, 3445, 994, 338, 27044, 520, 1842, 263, 273, 267, 476, 6321, 994, 338, 27044, 520, 1842, 263, 274, 267, 476, 4281, 994, 338, 269, 5891, 3890, 0, 18411, 11693, 513, 5569, 590, 267, 1820, 1412, 13433, 262, 952, 621, 568, 513, 5493, 30308, 610, 1412, 7224, 262, 952, 621, 568, 711, 513, 5493, 30308, 563, 25456, 4530, 13826, 10778, 2562, 303, 7473, 454, 331, 1952, 531, 454, 5495, 9143, 7473, 454, 13433, 454, 18411, 338, 284, 6358, 4590, 516, 341, 284, 338, 11468, 18737, 272, 2639, 604, 521, 2652, 516, 341, 912, 825, 1820, 2891, 13433, 5602, 12828, 912, 825, 1820, 2891, 7224, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17842, 267, 476, 3422, 276, 454, 268, 918, 1069, 1712, 267, 7671, 267, 1196, 269, 634, 12389, 29859, 281, 10749, 676, 15316, 24732, 269, 5507, 267, 476, 3422, 271, 563, 299, 1168, 529, 267, 595, 2529, 269, 589, 2776, 2183, 547, 21537, 1047, 23452, 269, 5507, 267, 476, 3707, 273, 563, 268, 681, 6506, 267, 18332, 269, 29859, 781, 9835, 13910, 269, 10228, 267, 476, 3422, 274, 563, 8310, 8242, 281, 476, 5881, 268, 4029, 268, 1220, 276, 476, 4962, 281, 7871, 281, 2764, 0, 1320, 8812, 1296, 2663, 267, 14600, 322, 3559, 781, 3609, 267, 14648, 543, 4294, 538, 513, 6793, 5108, 676, 519, 812, 4171, 4876, 14600, 322, 3559, 781, 12591, 22285, 539, 2443, 8176, 26791, 31656, 749, 2443, 4547, 519, 588, 719, 652, 4439, 342, 1046, 540, 2296, 1379, 538, 8581, 547, 519, 2666, 269, 1879, 3474, 24274, 536, 1228, 519, 6705, 540, 8581, 5901, 513, 6109, 17945, 593, 741, 3180, 902, 267, 646, 16358, 2213, 883, 513, 8360, 519, 3609, 14600, 322, 3559, 24016, 5667, 15471, 2685, 538, 476, 7277, 279, 269, 14600, 322, 3559, 781, 5108, 8959, 1864, 267, 1010, 15093, 8604, 642, 664, 2443, 855, 267, 24239, 1296, 1310, 267, 649, 666, 1413, 1394, 547, 519, 8581, 540, 1793, 822, 880, 29997, 566, 2443, 519, 2244, 540, 1286, 322, 1162, 543, 21219, 2443, 519, 5685, 529, 670, 756, 1716, 807, 540, 519, 1750, 1359, 2912, 6002, 547, 513, 3703, 10579, 543, 519, 594, 1737, 518, 32392, 540, 519, 2296, 2046, 267, 543, 267, 7487, 856, 540, 602, 12159, 543, 3765, 2044, 543, 25010, 1007, 4229, 1332, 547, 7237, 543, 14710, 2296, 3609, 538, 8581, 267, 29311, 602, 519, 688, 7676, 1399, 6891, 540, 513, 1390, 9721, 2006, 1498, 536, 2378, 23807, 480, 539, 538, 922, 1378, 5108, 949, 1305, 519, 3952, 540, 938, 2197, 538, 519, 1259, 540, 17636, 538, 519, 1985, 269, 17823, 1399, 1296, 5293, 552, 516, 519, 5639, 540, 27997, 538, 519, 667, 1905, 1512, 781, 16707, 12038, 10888, 569, 547, 4789, 998, 519, 666, 12061, 540, 519, 21816, 32580, 269, 774, 8812, 1296, 1310, 14600, 322, 3559, 729, 28703, 513, 695, 871, 1194, 26956, 689, 513, 10800, 539, 2197, 267, 1079, 2178, 6830, 19843, 540, 4789, 781, 1379, 538, 8581, 829, 1639, 538, 519, 11642, 540, 4187, 547, 15746, 646, 1185, 556, 11779, 1194, 538, 606, 705, 915, 2244, 563, 18871, 1538, 18319, 1475, 299, 6403, 978, 7699, 661, 1598, 1052, 4275, 910, 769, 6921, 17845, 338, 347, 0, 288, 1867, 676, 519, 2622, 9483, 17072, 3370, 13723, 267, 5147, 476, 1724, 267, 19486, 15057, 1851, 1283, 4557, 4000, 2477, 609, 1034, 23518, 2021, 563, 298, 523, 5984, 814, 1044, 19486, 476, 6872, 628, 1851, 476, 16409, 2477, 11451, 609, 513, 2489, 6060, 540, 476, 271, 269, 278, 3066, 269, 4340, 547, 519, 1867, 267, 2021, 779, 7589, 538, 519, 2197, 779, 2804, 5823, 814, 3648, 4824, 17259, 689, 2990, 476, 10019, 538, 476, 1708, 272, 547, 476, 277, 628, 563, 763, 1867, 5059, 593, 4008, 7862, 538, 1585, 4610, 1519, 4346, 267, 6214, 267, 2069, 267, 543, 1072, 269, 898, 849, 6027, 4008, 2861, 10616, 538, 1569, 547, 2200, 543, 3255, 538, 2477, 7488, 540, 519, 2139, 2200, 538, 1142, 2197, 563, 5804, 519, 5619, 267, 693, 2547, 476, 1724, 269, 736, 829, 1298, 540, 519, 3549, 538, 15057, 616, 2101, 569, 11262, 676, 2021, 269, 634, 2229, 814, 13890, 4507, 602, 723, 8329, 547, 4008, 7862, 538, 519, 2197, 269, 6573, 918, 22202, 13690, 8643, 29307, 513, 6468, 25085, 618, 8750, 1750, 4302, 547, 7264, 521, 593, 4989, 476, 1240, 267, 476, 1708, 272, 454, 763, 2817, 8889, 593, 13834, 543, 3763, 906, 6663, 2509, 2870, 513, 1175, 267, 4023, 267, 543, 9927, 2486, 1863, 689, 4008, 2861, 7130, 538, 782, 21384, 540, 1272, 2853, 563, 763, 3557, 4972, 585, 13834, 538, 519, 12080, 540, 5398, 6796, 267, 15272, 543, 13834, 568, 3743, 585, 5009, 4008, 7862, 543, 16882, 540, 2021, 538, 15057, 563, 763, 1079, 21017, 4008, 4341, 1671, 15590, 1441, 538, 519, 9139, 18715, 602, 2021, 616, 851, 540, 519, 3375, 6194, 1184, 538, 14618, 269, 1717, 267, 8230, 12505, 1876, 16234, 723, 1044, 8572, 547, 10512, 1125, 519, 11865, 540, 519, 1876, 563, 6097, 547, 519, 1867, 8909, 569, 267, 2069, 16882, 538, 519, 2197, 568, 1869, 1970, 5103, 15057, 1140, 8724, 3328, 8464, 538, 4610, 899, 1569, 547, 1072, 543, 2797, 16882, 563, 18197, 3557, 10837, 585, 4139, 4886, 630, 24433, 2839, 264, 524, 2572, 602, 3908, 1852, 936, 2640, 689, 2244, 543, 824, 2200, 7889, 1231, 2021, 779, 3811, 7589, 538, 519, 4346, 267, 3226, 607, 12696, 543, 2344, 11051, 563, 2005, 2829, 602, 891, 616, 930, 540, 519, 2591, 519, 2197, 2115, 547, 2232, 547, 2327, 15057, 568, 513, 4008, 268, 16029, 2197, 563, 763, 6820, 13834, 29361, 7797, 476, 1708, 273, 2982, 602, 32678, 568, 3056, 607, 519, 1034, 4008, 268, 16029, 2197, 593, 519, 11782, 4553, 676, 1866, 899, 21601, 28992, 267, 3162, 4000, 267, 8738, 1495, 328, 267, 20787, 3711, 1664, 267, 15729, 7638, 1372, 267, 543, 849, 28801, 267, 543, 25472, 563, 21893, 1032, 779, 2164, 2992, 2318, 2242, 538, 5266, 20651, 2477, 971, 607, 13280, 267, 18629, 267, 14891, 6243, 540, 22096, 543, 15057, 267, 1141, 4008, 26027, 814, 2799, 2059, 519, 9483, 30880, 543, 31621, 1016, 8161, 2437, 1224, 519, 1867, 563, 10908, 984, 958, 267, 19360, 17477, 922, 2990, 585, 519, 476, 1724, 628, 15654, 1032, 269, 898, 729, 19486, 607, 519, 1034, 4008, 268, 16029, 2197, 538, 519, 1158, 609, 513, 2489, 6060, 540, 476, 271, 269, 3445, 279, 12171, 850, 3239, 540, 12057, 538, 8400, 291, 2905, 13780, 454, 268, 654, 1222, 15434, 22486, 2918, 5130, 476, 1708, 274, 910, 476, 276, 281, 4510, 10681, 454, 268, 18984, 1516, 2918, 5130, 476, 1708, 274, 910, 476, 277, 281, 6187, 10681, 454, 268, 19822, 2918, 5130, 476, 1708, 274, 910, 476, 276, 281, 2412, 10681, 454, 268, 645, 1168, 732, 2918, 5130, 476, 1708, 274, 910, 476, 276, 281, 6078, 10681, 454, 268, 670, 755, 2401, 570, 1177, 8403, 2918, 5130, 476, 1708, 274, 910, 476, 277, 281, 1321, 10681, 454, 268, 13673, 4596, 308, 6938, 294, 5058, 2918, 5130, 476, 1708, 274, 910, 476, 277, 281, 6860, 10681, 454, 268, 2480, 28984, 2918, 5130, 476, 1708, 274, 910, 476, 276, 281, 2767, 10681, 454, 268, 18830, 13095, 1091, 2918, 5130, 476, 1708, 274, 910, 476, 276, 281, 2918, 10681, 454, 268, 674, 16898, 595, 4047, 290, 298, 2918, 5130, 476, 1708, 274, 910, 476, 275, 281, 7367, 10681, 454, 268, 4112, 7134, 2918, 5130, 476, 1708, 274, 910, 476, 275, 281, 876, 10681, 454, 268, 2349, 19276, 517, 2918, 5130, 476, 1708, 274, 910, 476, 275, 281, 1789, 10681, 454, 268, 22067, 7982, 2918, 5130, 476, 1708, 274, 910, 476, 275, 281, 2767, 10681, 0, 4407, 18951, 6351, 1949, 616, 2139, 585, 1034, 2010, 540, 6391, 2221, 267, 3750, 6391, 1031, 547, 581, 606, 9868, 269, 10656, 2754, 2776, 576, 13433, 814, 4957, 602, 676, 3384, 513, 1007, 18951, 1062, 563, 13328, 4204, 267, 1063, 476, 2004, 2929, 543, 476, 3583, 2929, 1004, 7985, 689, 3308, 15717, 1813, 547, 4713, 540, 519, 22100, 269, 29615, 12930, 2126, 568, 1869, 7543, 538, 1082, 2665, 269, 16685, 4238, 616, 2141, 513, 2462, 4161, 585, 513, 18874, 267, 543, 11931, 3946, 616, 513, 1883, 10421, 269, 5080, 21605, 899, 1346, 585, 8156, 513, 1033, 3737, 22100, 2154, 3665, 8856, 269, 1656, 950, 621, 2501, 547, 8856, 267, 1480, 3946, 3112, 3180, 513, 23156, 547, 18951, 1949, 563, 307, 523, 547, 8938, 2053, 1732, 8856, 454, 1607, 568, 1946, 519, 2754, 2776, 576, 13433, 267, 799, 12090, 607, 513, 8095, 13050, 689, 519, 2160, 540, 661, 785, 327, 8576, 538, 519, 13814, 267, 814, 2919, 513, 4625, 1007, 18951, 1062, 585, 3750, 6391, 269, 590, 2403, 2966, 585, 519, 2126, 540, 22100, 4713, 267, 519, 6351, 1062, 10607, 8856, 676, 513, 3815, 540, 476, 1015, 268, 736, 3379, 609, 519, 1480, 1688, 269, 901, 2636, 4238, 547, 581, 5340, 602, 616, 4867, 7543, 1813, 547, 3668, 540, 8856, 267, 606, 11999, 2744, 585, 2550, 267, 855, 849, 585, 23262, 267, 4171, 7145, 543, 6111, 786, 581, 27723, 4824, 563, 763, 1158, 779, 1101, 8773, 29374, 5106, 3330, 519, 3750, 729, 5340, 6707, 693, 519, 3627, 7101, 743, 858, 324, 11233, 538, 10228, 563, 13270, 8783, 2564, 11464, 693, 2776, 576, 13433, 16205, 632, 3911, 564, 3081, 281, 834, 1607, 568, 519, 7583, 332, 1588, 540, 4557, 1296, 540, 960, 269, 634, 8897, 602, 7905, 5839, 299, 13873, 729, 2111, 547, 1685, 519, 6391, 568, 606, 1271, 1900, 6619, 585, 8773, 29374, 3750, 4238, 543, 513, 2312, 642, 785, 1709, 540, 938, 2029, 4799, 763, 6198, 6240, 568, 3551, 269, 2755, 519, 5665, 18874, 568, 9361, 1985, 547, 519, 3461, 779, 2212, 3168, 998, 513, 17209, 267, 646, 568, 5665, 513, 7772, 22496, 4171, 5163, 568, 10299, 547, 513, 18951, 6186, 630, 16435, 1511, 1040, 634, 8773, 1524, 27214, 2297, 519, 5163, 865, 950, 519, 18874, 7575, 519, 7772, 22496, 676, 513, 1298, 9014, 267, 519, 9133, 540, 519, 18951, 6186, 7575, 1152, 676, 513, 1984, 9014, 269, 11531, 267, 519, 824, 1688, 15824, 8261, 4247, 607, 2838, 269, 634, 1062, 568, 2966, 547, 1450, 23361, 547, 581, 5340, 609, 5163, 1852, 4805, 607, 1134, 267, 1210, 1079, 7772, 560, 6506, 543, 1079, 18951, 7916, 563, 1103, 1840, 547, 513, 688, 10364, 5955, 1599, 602, 711, 1152, 13071, 519, 18874, 1294, 855, 849, 1745, 1010, 3527, 267, 519, 18951, 1062, 849, 7028, 2656, 1427, 944, 532, 269, 901, 568, 606, 1271, 3815, 1317, 621, 6971, 519, 942, 2838, 585, 606, 5106, 269, 634, 20517, 540, 519, 18951, 7916, 616, 5340, 676, 1164, 1790, 13440, 1707, 5397, 1949, 540, 3193, 517, 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 ]
[ 16060, 2270, 7222, 5931, 8850, 1107, 1294, 27387, 7516, 563, 2252, 596, 1711, 513, 8142, 539, 8559, 610, 9018, 8142, 539, 12718, 630, 320, 17684, 1070, 596, 666, 2824, 513, 8142, 689, 513, 1592, 540, 16060, 912, 268, 5450, 878, 27387, 338, 267, 585, 960, 609, 18869, 4559, 630, 17524, 12281, 994, 268, 1133, 1881, 21115, 342, 27387, 338, 267, 585, 960, 609, 11440, 4559, 630, 514, 2583, 994, 268, 623, 6559, 27387, 338, 267, 18869, 476, 25248, 454, 293, 17313, 2139, 585, 8142, 5137, 912, 1320, 1348, 539, 670, 1961, 910, 8946, 295, 454, 1320, 1348, 539, 595, 2643, 5407, 630, 306, 920, 342, 264, 910, 8946, 306, 454, 11073, 518, 27387, 28981, 15484, 910, 744, 12839, 454, 11073, 518, 8142, 666, 581, 2759, 1152, 693, 513, 8006, 3160, 547, 513, 3044, 8142, 8006, 563, 15675, 532, 513, 8142, 689, 513, 1592, 540, 16060, 0, 2918, 476, 273, 10951, 486, 595, 10984, 545, 17934, 31207, 454, 290, 10984, 545, 17934, 31207, 3096, 513, 24338, 1374, 547, 1184, 5714, 2326, 602, 991, 547, 581, 29881, 269, 901, 1826, 540, 6882, 568, 3622, 1031, 538, 519, 11956, 16213, 2872, 543, 666, 581, 1031, 585, 11956, 18585, 16213, 563, 2005, 666, 711, 1152, 3927, 6882, 543, 4894, 23606, 538, 519, 5277, 4496, 267, 855, 849, 814, 513, 1390, 1198, 593, 2810, 519, 19454, 540, 4496, 6878, 269, 634, 2489, 5665, 4398, 540, 971, 3937, 666, 581, 7494, 4824, 267, 543, 519, 16213, 1198, 568, 849, 1360, 7123, 563, 21132, 2324, 6240, 568, 281, 621, 814, 1079, 1439, 8188, 267, 543, 891, 1439, 8188, 5094, 519, 2230, 3330, 267, 543, 1287, 1142, 1439, 3068, 814, 930, 1507, 9475, 267, 2899, 519, 29881, 5277, 13788, 519, 6882, 267, 621, 786, 2095, 883, 519, 1439, 3068, 1934, 269, 634, 824, 1439, 3068, 267, 543, 6368, 519, 9018, 15672, 3068, 568, 3144, 856, 269, 4706, 946, 568, 1419, 10858, 547, 519, 11956, 16213, 2872, 563, 763, 5140, 3601, 540, 11956, 3824, 1824, 723, 1500, 621, 4922, 1031, 538, 1082, 6080, 269, 1703, 568, 513, 1900, 540, 13621, 543, 16213, 538, 519, 4393, 540, 11956, 3824, 1824, 269, 634, 13621, 543, 16213, 1184, 568, 5258, 883, 1614, 3268, 267, 607, 5205, 912, 272, 269, 23123, 281, 4340, 547, 519, 1808, 18585, 9344, 547, 581, 3812, 267, 5173, 519, 1840, 2179, 540, 1585, 18585, 3334, 267, 543, 21230, 6474, 1585, 6151, 2326, 563, 273, 269, 9253, 1154, 281, 10925, 519, 5423, 6151, 2326, 883, 519, 1159, 601, 1154, 19460, 2687, 547, 519, 1184, 4170, 547, 15835, 267, 543, 3927, 4894, 519, 1793, 698, 543, 3154, 538, 519, 15835, 998, 2554, 23035, 543, 1793, 698, 3101, 17975, 2409, 563, 274, 269, 595, 8463, 281, 634, 25183, 11956, 568, 22799, 543, 5641, 883, 1585, 16551, 540, 11956, 3824, 1824, 896, 1978, 16213, 1184, 2175, 998, 513, 2620, 1134, 16213, 1062, 269, 0, 763, 26626, 2986, 6481, 13201, 3807, 717, 821, 5164, 531, 2336, 8469, 1709, 568, 519, 3621, 1382, 543, 849, 1505, 540, 2921, 1416, 540, 1004, 269, 898, 6212, 593, 2564, 5868, 267, 2126, 267, 6604, 267, 607, 1134, 607, 23080, 2747, 540, 2783, 269, 898, 849, 6663, 547, 3986, 519, 1268, 779, 2298, 540, 1272, 269, 1703, 616, 1896, 12204, 540, 4915, 267, 1519, 10551, 2126, 267, 8808, 267, 543, 2618, 17226, 269, 634, 1858, 540, 4915, 568, 5781, 9750, 267, 543, 519, 3924, 540, 6646, 568, 9750, 609, 1007, 10124, 543, 849, 4274, 2478, 269, 3367, 593, 547, 1205, 811, 1344, 827, 6646, 563, 763, 2361, 540, 4915, 3459, 547, 1020, 538, 519, 476, 1691, 628, 2540, 1310, 519, 4563, 12280, 20739, 22486, 2342, 269, 634, 7826, 5783, 26016, 1242, 519, 1382, 540, 2257, 543, 3323, 547, 946, 2035, 689, 5259, 607, 1134, 607, 6259, 2564, 4648, 269, 4173, 4472, 1143, 543, 3662, 2472, 941, 1031, 607, 11955, 2394, 519, 476, 1240, 628, 2540, 269, 13536, 267, 14278, 1108, 2919, 543, 849, 930, 5061, 941, 1869, 6565, 4364, 689, 2371, 269, 769, 519, 476, 866, 628, 2540, 267, 519, 3408, 540, 4550, 1532, 7821, 543, 824, 6527, 21490, 519, 1259, 585, 4207, 6646, 563, 293, 1752, 540, 6791, 281, 589, 2603, 540, 2564, 4648, 13404, 593, 513, 1880, 1858, 269, 2368, 1455, 32258, 1331, 6375, 1108, 267, 799, 3217, 1416, 540, 4713, 540, 519, 4761, 1062, 269, 1323, 15589, 328, 5505, 267, 585, 3236, 267, 17982, 5061, 543, 849, 2638, 519, 4105, 10832, 540, 2043, 18460, 23236, 269, 9315, 328, 5505, 267, 29285, 267, 4308, 609, 2042, 609, 519, 2295, 269, 589, 2603, 540, 891, 7189, 1382, 519, 10408, 543, 7636, 1377, 540, 2281, 607, 1134, 607, 1175, 875, 789, 3310, 519, 1560, 269, 1703, 568, 11338, 513, 2647, 3099, 540, 1016, 1606, 2133, 2906, 538, 4915, 563, 2304, 3606, 1858, 540, 4915, 568, 1259, 540, 2713, 6646, 267, 799, 568, 519, 1382, 540, 5312, 2042, 269, 2290, 811, 20614, 568, 4791, 6323, 267, 799, 9388, 609, 519, 3498, 540, 6323, 547, 4915, 269, 1306, 1134, 607, 6038, 267, 972, 568, 23798, 267, 799, 14122, 1582, 20820, 338, 2404, 609, 519, 8401, 1062, 269, 27096, 344, 6212, 593, 519, 1480, 12636, 607, 1134, 607, 922, 4183, 269, 634, 2361, 11338, 20362, 5626, 1072, 267, 607, 1134, 607, 2618, 17226, 563, 288, 7817, 779, 2013, 1686, 568, 606, 1271, 851, 540, 2679, 513, 2078, 609, 513, 2564, 3318, 269, 898, 5161, 540, 9623, 7282, 1459, 607, 1134, 607, 3105, 10108, 269, 3958, 267, 621, 5161, 540, 1344, 3823, 519, 11955, 543, 849, 824, 4247, 602, 519, 1268, 814, 17298, 269, 898, 1522, 10123, 2874, 540, 9623, 827, 13027, 6547, 269, 1452, 1239, 666, 5351, 519, 4387, 1118, 513, 1318, 2564, 5868, 563, 30509, 689, 6646, 267, 13500, 849, 946, 5773, 547, 2697, 543, 1521, 2783, 543, 849, 7063, 269, 1358, 1522, 11338, 4894, 7783, 5160, 610, 6494, 621, 585, 23707, 269, 1358, 11338, 946, 513, 1804, 2039, 540, 7405, 547, 1685, 741, 4247, 269, 31849, 540, 1072, 543, 9716, 4966, 723, 513, 2039, 540, 2866, 538, 891, 4610, 269, 589, 2564, 4387, 666, 849, 581, 513, 1610, 19708, 1905, 626, 610, 513, 3723, 4387, 269, 1924, 267, 4791, 2866, 568, 606, 1271, 851, 540, 606, 2500, 3924, 538, 4915, 563, 288, 4791, 2013, 1590, 11338, 1331, 519, 2853, 685, 12375, 585, 519, 2533, 27573, 269, 901, 3877, 786, 6157, 948, 2628, 619, 3715, 519, 4110, 540, 3795, 607, 1134, 607, 1283, 2298, 540, 7817, 1416, 269, 4635, 513, 1434, 2564, 3009, 1062, 786, 2539, 2564, 2665, 9073, 269, 898, 11338, 786, 6157, 948, 2569, 3782, 5777, 269, 2353, 4791, 6811, 723, 547, 1331, 519, 2259, 779, 10997, 585, 519, 3435, 27573, 563, 21357, 3457, 849, 1331, 6972, 16853, 267, 1205, 538, 5905, 609, 14485, 267, 6089, 11160, 7695, 267, 543, 5841, 538, 20611, 2079, 2645, 269, 14464, 538, 20611, 2079, 3457, 616, 8246, 547, 6218, 15629, 15559, 267, 1973, 267, 607, 1134, 607, 7280, 269, 11153, 540, 891, 3457, 1522, 1289, 585, 16538, 1379, 269, 1452, 12204, 540, 3457, 616, 3622, 5959, 5579, 5896, 538, 519, 1560, 269, 5015, 267, 2295, 10605, 16234, 616, 5579, 5896, 538, 519, 2295, 543, 849, 2154, 5007, 1379, 563, 5278, 2564, 24723, 616, 6142, 20952, 1043, 269, 1403, 789, 20546, 476, 278, 269, 276, 260, 540, 707, 3454, 762, 4747, 267, 789, 666, 581, 20952, 539, 607, 513, 1942, 593, 21480, 589, 269, 1411, 666, 10123, 20952, 2564, 6142, 14167, 338, 585, 519, 1582, 15041, 23903, 269, 1703, 616, 1896, 824, 2010, 540, 4791, 24723, 602, 1522, 581, 15538, 540, 593, 942, 589, 267, 1519, 1346, 602, 616, 711, 4988, 676, 513, 2564, 1942, 4214, 563, 16966, 547, 2126, 568, 513, 1713, 5855, 585, 2043, 2429, 519, 7330, 269, 769, 930, 6917, 4525, 267, 972, 616, 1906, 610, 1100, 1072, 543, 9716, 14273, 269, 1452, 6753, 616, 4330, 607, 4791, 24301, 269, 4340, 547, 513, 1699, 5619, 676, 6153, 305, 343, 267, 513, 7082, 25700, 3059, 1072, 1416, 3760, 267, 3152, 982, 476, 3199, 2600, 540, 8087, 1533, 4525, 616, 2808, 4791, 24301, 269, 1306, 513, 2339, 540, 1249, 267, 4791, 24301, 616, 711, 1175, 4092, 538, 1394, 6229, 338, 267, 607, 849, 4683, 5095, 6370, 547, 3489, 3617, 1416, 563, 21357, 3790, 1522, 849, 2874, 540, 519, 13258, 540, 3560, 269, 1403, 519, 10707, 568, 2838, 585, 519, 6662, 540, 3478, 3782, 267, 856, 6361, 1790, 12714, 9276, 1331, 519, 3902, 540, 3154, 267, 6142, 3609, 267, 607, 1134, 607, 2596, 21338, 543, 909, 18141, 269, 634, 2596, 2564, 13304, 720, 2557, 568, 476, 1626, 21347, 829, 13304, 269, 2368, 2010, 540, 4791, 24723, 616, 711, 4988, 676, 2564, 6142, 267, 971, 607, 13310, 11955, 607, 1134, 607, 1126, 1416, 9276, 269, 5015, 267, 13310, 6527, 689, 1776, 2197, 666, 581, 4988, 269, 8616, 972, 616, 513, 1297, 540, 10148, 593, 1018, 2186, 540, 4791, 2472, 666, 581, 4988, 676, 519, 1072, 6142, 1982, 563, 21357, 2029, 2882, 2645, 267, 6527, 267, 24409, 267, 607, 1134, 607, 5773, 269, 1452, 2472, 616, 2813, 547, 2087, 513, 1268, 779, 6197, 269, 2201, 1283, 540, 602, 267, 891, 3457, 1289, 585, 909, 18141, 267, 23363, 267, 543, 3593, 2866, 269, 2368, 2564, 19269, 616, 849, 632, 716, 17300, 269, 901, 2115, 519, 1702, 540, 513, 3318, 11653, 269, 1403, 513, 1268, 779, 2783, 2115, 513, 1978, 4791, 31942, 267, 513, 3782, 11285, 1058, 581, 2111, 547, 4383, 621, 563, 21357, 6142, 6811, 10123, 948, 2564, 9439, 3986, 8907, 4398, 269, 1358, 2874, 540, 9479, 602, 2491, 519, 2564, 2533, 513, 7817, 5833, 269, 1635, 26446, 891, 2665, 267, 2564, 4648, 666, 3251, 2312, 540, 3180, 13522, 538, 7213, 6819, 11033, 269, 769, 1840, 267, 2564, 2013, 3301, 1982, 20674, 14458, 519, 8569, 5650, 267, 1818, 1978, 602, 519, 6811, 616, 5730, 543, 849, 11886, 5313, 4031, 269, 13329, 6142, 6811, 616, 12290, 543, 9672, 676, 513, 21757, 5264, 547, 2327, 10220, 609, 2628, 518, 4566, 269, 634, 21757, 5264, 786, 6494, 519, 1121, 539, 1221, 6142, 6811, 547, 519, 2628, 518, 563, 32747, 6811, 1058, 1331, 782, 8713, 307, 9479, 1644, 547, 519, 3119, 3435, 513, 3461, 4607, 269, 901, 3877, 20674, 519, 2628, 518, 2697, 952, 519, 2533, 616, 4988, 610, 711, 269, 634, 2564, 2665, 11129, 547, 11338, 1331, 3044, 1367, 3877, 267, 9967, 540, 519, 7817, 779, 2347, 3656, 2012, 267, 4266, 540, 4332, 267, 4008, 267, 543, 2232, 269, 19452, 267, 519, 1268, 779, 715, 18444, 630, 13233, 2961, 8175, 5772, 8595, 264, 991, 547, 581, 3769, 593, 519, 3409, 267, 799, 568, 6697, 547, 519, 2259, 779, 4317, 8232, 1297, 269, 9453, 621, 267, 513, 1268, 786, 6157, 711, 723, 519, 2702, 547, 4309, 1697, 13180, 269, 4855, 811, 1344, 454, 16966, 2225, 547, 2564, 1416, 2533, 568, 10678, 909, 1373, 513, 1713, 3390, 538, 519, 2136, 2276, 269, 4340, 547, 6153, 305, 343, 267, 513, 7082, 25700, 3059, 1072, 1416, 3760, 267, 3152, 982, 476, 3199, 2600, 540, 8087, 1533, 2127, 616, 19040, 607, 2564, 24301, 269, 634, 8373, 3884, 1406, 11658, 547, 6917, 2127, 267, 2901, 269, 898, 849, 5222, 23195, 5095, 269, 0, 6944, 30744, 676, 281, 2657, 2103, 12243, 454, 14503, 1314, 572, 2644, 616, 2030, 2861, 3536, 602, 1683, 2635, 3170, 267, 14434, 267, 543, 20249, 269, 1358, 616, 835, 540, 519, 9998, 7031, 602, 723, 1044, 3484, 539, 2429, 1686, 563, 15987, 6263, 538, 2450, 267, 891, 6960, 5452, 723, 1044, 17028, 7458, 585, 741, 1072, 3491, 15157, 633, 3601, 585, 1082, 1296, 563, 3086, 267, 5553, 2663, 267, 789, 723, 24111, 547, 23146, 676, 759, 584, 325, 5217, 607, 513, 2048, 27273, 1426, 8072, 543, 616, 1373, 18931, 585, 741, 2789, 1072, 5383, 563, 18814, 547, 741, 1164, 9422, 1871, 267, 930, 1004, 849, 1289, 621, 835, 540, 519, 1034, 3532, 2030, 3536, 593, 519, 4541, 547, 5818, 1072, 563, 25332, 969, 1049, 2090, 1397, 602, 30485, 572, 2644, 1683, 513, 5763, 540, 5567, 267, 1519, 26102, 268, 274, 9761, 7408, 267, 31429, 753, 267, 3940, 267, 543, 20249, 538, 1175, 835, 23188, 563, 5445, 616, 835, 540, 519, 1034, 10731, 2030, 2959, 540, 9761, 7408, 267, 607, 1134, 607, 8324, 543, 6886, 563, 26199, 1382, 2798, 602, 30485, 572, 2644, 616, 14095, 609, 3875, 1072, 5383, 269, 769, 713, 5816, 267, 649, 786, 12235, 1769, 593, 930, 11141, 1072, 2640, 602, 616, 11911, 547, 10438, 30485, 572, 2644, 563, 14503, 1314, 23092, 281, 634, 1007, 4898, 1426, 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 ]
[ 1475, 736, 1475, 278, 1475, 273, 1475, 274, 1475, 275, 1475, 275, 2008, 21270, 584, 514, 543, 14694, 1427, 13224, 1475, 275, 1475, 275, 1475, 1015, 1475, 275, 1475, 272, 1475, 272, 1475, 272, 1475, 274, 2008, 286, 815, 7334, 563, 7212, 621, 568, 711, 2141, 10423, 547, 10646, 1166, 1136, 2553, 267, 519, 10368, 7592, 18931, 593, 1034, 540, 519, 2349, 3547, 630, 10585, 640, 540, 519, 2349, 1228, 8728, 543, 31393, 543, 2786, 1145, 540, 519, 3296, 267, 705, 24612, 936, 28702, 338, 267, 5086, 632, 669, 21692, 2673, 547, 476, 3445, 4113, 267, 1164, 15941, 267, 543, 9000, 540, 1764, 1448, 264, 2303, 602, 519, 2604, 1166, 1136, 4480, 729, 519, 9030, 4480, 1031, 538, 519, 2504, 540, 1312, 968, 867, 2435, 892, 543, 1804, 2349, 3547, 269, 8616, 267, 621, 3788, 1930, 2436, 782, 2349, 3547, 941, 5833, 538, 519, 1482, 1259, 267, 1775, 4318, 1421, 676, 14159, 2604, 593, 519, 4295, 609, 519, 948, 540, 513, 1279, 1835, 8553, 267, 610, 1776, 7154, 540, 2604, 1166, 1136, 630, 516, 514, 1721, 1027, 676, 513, 11573, 1070, 729, 1031, 547, 3489, 1804, 2349, 3547, 563, 2252, 2604, 1166, 1136, 609, 513, 1279, 1835, 8553, 729, 1031, 4805, 538, 519, 2349, 1228, 2504, 267, 1804, 2349, 3547, 1223, 2408, 12212, 950, 519, 5679, 1952, 518, 25116, 513, 3152, 3196, 593, 519, 4295, 269, 901, 568, 7152, 676, 519, 6901, 5645, 856, 676, 808, 269, 670, 1229, 807, 945, 7307, 547, 3489, 1896, 1804, 2349, 3547, 1210, 14159, 2604, 4805, 269, 634, 2472, 5833, 676, 670, 1229, 807, 9765, 476, 736, 6515, 538, 8700, 543, 979, 909, 547, 476, 2764, 6515, 563, 4002, 713, 1448, 267, 621, 1058, 581, 7074, 602, 1152, 1079, 2349, 3547, 689, 9197, 7224, 966, 22567, 334, 616, 538, 1249, 9962, 982, 476, 2764, 6515, 281, 519, 27069, 9729, 673, 23650, 476, 3953, 269, 280, 6515, 2647, 630, 8201, 476, 278, 263, 274, 4297, 543, 519, 3592, 2898, 476, 1428, 269, 277, 6515, 1279, 267, 476, 2764, 269, 278, 2647, 267, 543, 476, 279, 269, 273, 5394, 1212, 23264, 2349, 1228, 630, 8201, 476, 274, 1040, 2755, 519, 9729, 673, 23650, 949, 581, 3812, 676, 930, 824, 4480, 267, 971, 607, 1463, 610, 9940, 25576, 15664, 267, 519, 19916, 540, 519, 1212, 23264, 2349, 1228, 5267, 602, 621, 729, 5833, 676, 2604, 1166, 1136, 630, 5976, 513, 11573, 1916, 763, 946, 540, 513, 11573, 1131, 17538, 602, 930, 540, 519, 2349, 3547, 689, 519, 31174, 720, 941, 14475, 14384, 607, 621, 4667, 7050, 602, 519, 11573, 1131, 849, 581, 1031, 547, 3132, 4130, 2349, 3547, 543, 2349, 1228, 7410, 563, 763, 7694, 540, 513, 1950, 1062, 971, 607, 513, 11573, 10522, 1164, 6639, 5092, 543, 8739, 20300, 2027, 5314, 630, 10817, 559, 2041, 879, 267, 476, 1001, 271, 267, 476, 1001, 272, 282, 2871, 559, 2041, 879, 1299, 3131, 331, 11726, 338, 267, 476, 1001, 280, 282, 3131, 331, 11726, 338, 267, 476, 1220, 272, 267, 476, 1001, 273, 1040, 11569, 267, 2604, 1166, 1136, 609, 513, 11573, 568, 519, 1034, 14053, 4480, 538, 2349, 1228, 2504, 269, 1306, 971, 267, 1804, 2349, 3547, 1590, 723, 1044, 3812, 676, 2027, 2213, 267, 1134, 2389, 11712, 5679, 1952, 619, 28429, 1312, 519, 1880, 1983, 543, 2556, 3937, 269, 1358, 16539, 942, 547, 3489, 519, 1271, 1702, 543, 917, 24376, 2877, 585, 13215, 519, 4295, 7041, 607, 519, 1099, 10999, 1034, 14053, 851, 540, 519, 11024, 383, 362, 928, 1566, 2946, 337, 6737, 790, 563, 6097, 547, 930, 5640, 267, 519, 946, 540, 11573, 25774, 1166, 1136, 585, 513, 2504, 540, 1804, 2349, 3547, 666, 581, 14360, 1394, 547, 519, 7216, 32665, 269, 2349, 3547, 1500, 676, 713, 4480, 941, 6592, 693, 1896, 4609, 538, 10255, 630, 26855, 20811, 267, 17012, 577, 628, 328, 267, 3026, 320, 21208, 15701, 324, 807, 1070, 7442, 592, 807, 630, 305, 760, 320, 570, 24297, 267, 681, 754, 2088, 1070, 543, 18243, 3901, 807, 630, 303, 758, 22201, 23364, 264, 630, 17686, 2088, 267, 476, 1001, 276, 282, 2871, 559, 2041, 879, 267, 476, 1001, 271, 267, 476, 1001, 272, 282, 2871, 559, 2041, 879, 1299, 3131, 331, 11726, 338, 267, 476, 1001, 280, 282, 631, 9579, 25458, 334, 1696, 620, 1421, 476, 1001, 279, 282, 3131, 331, 11726, 338, 267, 476, 1220, 275, 267, 476, 1001, 273, 1916, 4913, 267, 6237, 3604, 15738, 547, 1114, 2930, 5773, 538, 519, 2504, 540, 11573, 1790, 816, 3293, 2349, 3547, 1063, 10255, 543, 7013, 7977, 666, 581, 4767, 630, 5408, 2871, 559, 2041, 879, 1299, 3131, 331, 11726, 338, 267, 476, 1001, 280, 267, 6032, 269, 476, 276, 1691, 1700, 276, 1428, 1916, 1103, 519, 9197, 7224, 966, 22567, 334, 31174, 720, 267, 930, 2349, 3547, 1796, 856, 585, 741, 11141, 2450, 543, 2834, 640, 543, 607, 971, 1413, 899, 513, 1837, 1383, 540, 2349, 3547, 1500, 676, 11573, 2604, 269, 8616, 267, 2016, 519, 5266, 1507, 1297, 540, 2349, 3547, 602, 666, 581, 15983, 11911, 547, 713, 4480, 267, 972, 568, 1869, 1100, 13618, 607, 547, 2436, 519, 11573, 3926, 729, 6964, 1282, 519, 7216, 32665, 269, 769, 602, 2631, 267, 930, 2055, 1869, 2611, 1930, 269, 4208, 1705, 519, 11573, 2604, 4480, 711, 3262, 3564, 9456, 270, 25218, 11335, 1354, 267, 855, 1152, 689, 519, 3803, 32665, 270, 2419, 531, 3712, 603, 545, 286, 769, 824, 1913, 267, 1946, 1131, 713, 4480, 2408, 267, 14897, 267, 543, 1287, 31272, 792, 286, 3097, 1103, 1840, 267, 2016, 519, 2027, 1983, 543, 3937, 602, 971, 2504, 7569, 267, 621, 568, 1360, 12691, 602, 1169, 8498, 729, 2111, 547, 3132, 971, 2349, 3547, 269, 769, 713, 2631, 267, 621, 568, 10257, 547, 1095, 2541, 602, 789, 941, 3812, 11992, 543, 1287, 16865, 547, 4609, 269, 1809, 952, 789, 941, 16865, 267, 1287, 1946, 941, 789, 1031, 630, 8368, 476, 274, 264, 1175, 607, 968, 867, 2435, 892, 2349, 3547, 602, 941, 4440, 3812, 593, 519, 3135, 630, 298, 320, 25155, 541, 267, 476, 1001, 280, 320, 267, 476, 1001, 280, 321, 21663, 769, 824, 1913, 267, 1946, 18992, 547, 513, 1950, 4480, 547, 3489, 2472, 1031, 585, 3232, 2238, 286, 1656, 2943, 267, 5310, 621, 729, 10502, 998, 891, 2349, 3547, 685, 4052, 946, 602, 789, 19500, 607, 6786, 540, 4567, 269, 28064, 2853, 2709, 513, 8468, 540, 4159, 267, 711, 1175, 1187, 518, 776, 8658, 563, 288, 16861, 946, 2914, 792, 1353, 2982, 602, 1312, 15998, 543, 2898, 1804, 2349, 3547, 941, 1031, 799, 2798, 547, 519, 3351, 9107, 1599, 540, 891, 1025, 3471, 269, 4475, 267, 621, 568, 1271, 547, 4063, 602, 2898, 15013, 798, 711, 3100, 547, 723, 1044, 519, 1843, 540, 513, 1880, 27089, 5314, 538, 519, 9197, 7224, 966, 22567, 334, 8498, 267, 607, 949, 581, 519, 2013, 538, 824, 8658, 630, 10817, 559, 2041, 879, 267, 476, 1001, 271, 282, 3131, 331, 11726, 338, 267, 476, 1001, 273, 282, 3131, 331, 11726, 338, 1299, 23554, 22088, 267, 476, 1960, 280, 1916, 7197, 540, 519, 1804, 2349, 3547, 1397, 606, 7920, 946, 267, 6466, 1906, 1025, 3471, 723, 1044, 13381, 267, 15738, 547, 513, 1279, 3856, 5826, 4640, 563, 4322, 2645, 616, 3238, 538, 1585, 11024, 383, 362, 5886, 1566, 2946, 337, 6737, 2231, 538, 799, 789, 616, 4776, 5166, 6053, 13991, 547, 519, 5478, 610, 28472, 540, 3615, 267, 7133, 519, 6469, 610, 1148, 16388, 12106, 811, 982, 519, 2804, 835, 269, 1358, 3100, 547, 13822, 1367, 267, 1875, 1606, 2133, 2213, 3937, 267, 799, 1281, 711, 3100, 547, 2743, 513, 1808, 6198, 991, 563, 2691, 3379, 547, 519, 824, 2472, 267, 1775, 4318, 1421, 7522, 518, 2349, 3547, 14053, 1447, 2930, 5092, 267, 519, 1747, 540, 1804, 2349, 3547, 1369, 519, 9197, 7224, 966, 22567, 334, 2349, 1228, 31174, 720, 666, 581, 6956, 607, 14911, 269, 11569, 267, 2349, 1228, 7028, 540, 811, 16434, 7516, 630, 5976, 606, 3328, 8700, 540, 1309, 269, 476, 1691, 6515, 543, 3622, 1031, 796, 4958, 31189, 610, 5594, 9168, 676, 519, 759, 9618, 335, 2287, 1427, 13224, 264, 941, 18928, 5697, 607, 31724, 2609, 267, 6466, 519, 1804, 2349, 3547, 3100, 711, 547, 581, 29341, 538, 519, 7556, 2238, 563, 1607, 2063, 1448, 30193, 519, 1804, 2349, 3547, 540, 9197, 7224, 966, 22567, 334, 689, 824, 7216, 32665, 11573, 1790, 816, 3293, 2349, 3547, 540, 519, 3844, 11335, 267, 538, 1880, 267, 519, 2349, 3547, 540, 17012, 577, 628, 328, 630, 303, 601, 641, 517, 333, 3150, 267, 10255, 1040, 2311, 519, 5259, 3135, 267, 519, 1804, 16865, 2349, 3547, 1500, 689, 608, 18100, 10027, 1206, 616, 1031, 796, 4958, 31189, 267, 538, 16276, 267, 1175, 899, 519, 968, 867, 2435, 892, 2349, 3547, 269, 1358, 941, 1101, 543, 19466, 31724, 2609, 1354, 1373, 1360, 703, 13208, 23699, 267, 8325, 2989, 267, 543, 13381, 630, 10817, 559, 2041, 879, 1299, 3131, 331, 11726, 338, 267, 476, 1001, 280, 282, 3131, 331, 11726, 338, 267, 476, 1220, 275, 282, 3131, 331, 11726, 338, 1299, 966, 2795, 534, 267, 476, 2735, 274, 1916, 277, 10390, 543, 21126, 454, 763, 16861, 1099, 334, 1922, 23341, 2079, 6920, 602, 519, 5354, 540, 519, 1804, 2349, 3547, 689, 9197, 7224, 966, 22567, 334, 941, 5833, 676, 2604, 4480, 593, 1114, 8677, 540, 12275, 1146, 334, 10027, 1206, 543, 602, 2349, 3547, 6508, 689, 1114, 5933, 540, 11024, 383, 362, 928, 1566, 2946, 337, 6737, 790, 941, 1031, 585, 1585, 4247, 563, 763, 946, 540, 513, 11573, 3926, 538, 519, 2504, 540, 630, 16341, 264, 1804, 2349, 3547, 3788, 2009, 2016, 1312, 741, 19916, 543, 6811, 827, 519, 6228, 540, 713, 4480, 538, 30240, 2127, 630, 338, 4822, 7977, 267, 10255, 264, 1282, 519, 7216, 32665, 563, 2252, 649, 2015, 602, 519, 1804, 2349, 3547, 689, 9197, 7224, 966, 22567, 334, 941, 3812, 676, 2604, 22286, 1136, 609, 513, 11573, 1287, 789, 17216, 2099, 513, 32665, 5647, 543, 607, 971, 1058, 581, 9833, 607, 606, 7533, 851, 540, 519, 32665, 10189, 10299, 689, 519, 5101, 269, 1717, 267, 1282, 519, 7216, 630, 29557, 264, 32665, 267, 1804, 2349, 3547, 1705, 711, 723, 519, 1482, 4567, 538, 519, 3003, 3844, 11335, 269, 4475, 267, 2484, 689, 1373, 7833, 267, 621, 568, 19624, 547, 2015, 519, 13260, 540, 519, 4567, 540, 891, 24299, 2687, 547, 2796, 267, 2686, 5389, 267, 3135, 1599, 267, 5169, 540, 6151, 2326, 267, 23857, 540, 18236, 267, 543, 865, 593, 563, 7661, 267, 2016, 519, 1507, 3732, 2450, 267, 2055, 540, 2504, 2553, 267, 7154, 540, 11601, 540, 1804, 2349, 3547, 267, 543, 741, 4567, 1369, 9197, 7224, 966, 22567, 334, 2349, 1228, 31174, 720, 2611, 1930, 543, 1058, 581, 6594, 2417, 267, 676, 9256, 1312, 513, 1099, 334, 1922, 23341, 1935, 543, 811, 538, 3829, 4620, 549, 2117, 515, 1670, 2079, 563, 2171, 1131, 899, 547, 9684, 519, 1225, 1807, 715, 7614, 6359, 320, 17487, 490, 1180, 328, 24089, 267, 519, 8689, 540, 519, 16329, 1670, 7467, 540, 2098, 611, 541, 32021, 990, 966, 340, 25155, 328, 24089, 267, 543, 519, 4609, 14155, 1807, 19839, 529, 15442, 25795, 13568, 990, 328, 24089, 585, 4758, 721, 10479, 547, 1353, 519, 9197, 7224, 966, 22567, 334, 1570, 269, 7981, 7064, 547, 715, 7614, 6359, 320, 945, 3177, 21464, 948, 543, 26848, 1489, 547, 938, 2319, 543, 547, 13138, 3722, 2464, 8047, 585, 741, 6351, 269, 1284, 849, 6999, 547, 9684, 2689, 619, 585, 741, 16268, 8292, 543, 10372, 282, 543, 7046, 26337, 779, 15769, 585, 741, 5583, 543, 9639, 269, 7053, 267, 7064, 547, 681, 800, 1230, 333, 14709, 543, 24138, 700, 1662, 267, 12312, 10937, 779, 2022, 25269, 635, 10232, 585, 6169, 15105, 519, 2376, 563, 18183, 12787, 540, 1719, 281, 22439, 1533, 1100, 4655, 540, 1719, 563, 288, 6277, 11726, 338, 267, 674, 269, 630, 2767, 31027, 655, 3691, 476, 1001, 274, 1040, 2372, 601, 13196, 678, 2946, 325, 2716, 687, 1147, 8350, 26955, 4226, 1137, 632, 561, 877, 632, 521, 850, 343, 1612, 533, 1833, 269, 5246, 2946, 302, 686, 550, 30071, 18248, 630, 29797, 582, 12330, 3820, 1040, 5291, 2517, 2117, 515, 528, 1304, 269, 1506, 13607, 12330, 3820, 270, 15757, 273, 2529, 2514, 538, 5616, 10104, 454, 289, 1120, 518, 267, 808, 6363, 1421, 5450, 718, 514, 537, 267, 717, 1421, 1299, 2871, 559, 12578, 267, 808, 269, 630, 1001, 275, 1040, 1234, 4621, 18790, 519, 12379, 18070, 268, 32665, 5912, 693, 519, 3135, 540, 28788, 926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 6282, 710, 15822, 585, 1855, 839, 888, 1432, 1772, 6282, 710, 888, 24478, 710, 568, 606, 5214, 7623, 1336, 6923, 538, 782, 3425, 2059, 609, 1082, 2831, 543, 568, 4092, 5097, 1369, 519, 20258, 6091, 269, 898, 568, 849, 519, 1034, 14916, 21503, 8192, 7110, 269, 1703, 723, 1044, 936, 513, 8536, 2090, 2944, 538, 519, 2250, 1079, 5756, 269, 3117, 626, 1836, 891, 2090, 723, 3254, 1239, 540, 972, 1373, 8766, 547, 1100, 1072, 4220, 3238, 609, 2921, 1525, 710, 21455, 1247, 8195, 18071, 16854, 2640, 563, 1432, 6496, 6282, 710, 1684, 888, 24478, 710, 5713, 513, 2629, 1909, 538, 21085, 630, 3849, 523, 27343, 10222, 874, 24043, 264, 2504, 269, 21085, 568, 513, 11140, 3743, 585, 12419, 1648, 2429, 2281, 543, 568, 513, 2629, 5057, 540, 1164, 27233, 26103, 2534, 269, 4400, 27233, 26103, 2534, 2882, 519, 15055, 540, 2597, 331, 14823, 267, 838, 11781, 532, 267, 543, 7619, 923, 269, 6282, 710, 21455, 2164, 538, 606, 2333, 538, 1525, 710, 2157, 1369, 707, 1560, 7175, 513, 3152, 2504, 540, 21085, 563, 1432, 616, 519, 11588, 540, 513, 6282, 710, 26929, 566, 888, 24478, 710, 568, 2808, 513, 1283, 8192, 7110, 538, 14621, 547, 922, 7145, 269, 1703, 568, 606, 11566, 2179, 540, 1239, 602, 5267, 606, 2333, 538, 18942, 2773, 609, 21455, 1312, 2110, 3856, 630, 276, 268, 278, 2395, 264, 543, 1279, 3856, 630, 933, 4060, 1107, 3275, 1040, 6201, 540, 18942, 2640, 1331, 8476, 2022, 22086, 719, 6051, 267, 4824, 4222, 270, 30161, 657, 4369, 267, 543, 2799, 26176, 2088, 538, 26103, 2534, 269, 16797, 518, 543, 811, 2500, 2022, 22086, 719, 6051, 6087, 9845, 543, 2597, 331, 604, 1562, 547, 3035, 811, 538, 513, 10156, 2179, 540, 942, 269, 2290, 1353, 2982, 606, 476, 1240, 260, 2333, 538, 1164, 26103, 26176, 2088, 267, 513, 476, 736, 260, 2333, 538, 3635, 10221, 1431, 609, 513, 14402, 2597, 267, 543, 513, 476, 276, 260, 2333, 538, 513, 835, 3146, 335, 3193, 14541, 2046, 563, 8448, 15783, 11588, 454, 1103, 1840, 547, 519, 811, 1134, 8153, 18942, 2640, 1525, 710, 21455, 2488, 267, 18960, 2090, 1397, 1239, 540, 1761, 14715, 5383, 269, 634, 2016, 2090, 5815, 602, 1525, 710, 5486, 656, 566, 7654, 3568, 513, 5778, 23181, 633, 3959, 269, 634, 5778, 2889, 339, 1254, 666, 5351, 6677, 15664, 6604, 267, 513, 11342, 3390, 1851, 15730, 9845, 269, 1703, 616, 849, 6402, 1063, 713, 10169, 7164, 3959, 540, 1525, 710, 543, 922, 2009, 2126, 540, 11361, 945, 723, 3676, 899, 12216, 779, 543, 19576, 779, 563, 3674, 6282, 710, 15822, 585, 1855, 839, 888, 7197, 2090, 2944, 593, 519, 3106, 11486, 523, 9026, 540, 1525, 710, 723, 1031, 4079, 538, 741, 1382, 269, 17497, 267, 972, 568, 711, 1454, 3332, 593, 1525, 710, 543, 922, 2360, 4481, 593, 12322, 269, 634, 1507, 1297, 540, 2090, 602, 798, 1331, 513, 18295, 1353, 267, 798, 711, 5815, 1022, 2942, 2360, 267, 2147, 547, 1346, 2944, 593, 4079, 269, 6736, 519, 11999, 2179, 540, 1382, 593, 1525, 710, 21455, 609, 4079, 5627, 1239, 602, 7028, 8766, 547, 1100, 1072, 1981, 267, 1346, 2090, 798, 711, 2047, 30136, 547, 10708, 269, 901, 7164, 5932, 513, 1455, 31605, 602, 1525, 710, 568, 8810, 22247, 585, 14038, 269, 901, 3409, 568, 733, 337, 1882, 711, 593, 1239, 2861, 2963, 267, 855, 3079, 593, 519, 4250, 540, 1018, 568, 711, 1634, 269, 634, 3668, 540, 1239, 7282, 12322, 568, 513, 16048, 6161, 4352, 267, 6932, 1239, 7028, 519, 3409, 602, 1525, 710, 568, 2922, 585, 12322, 269, 7073, 11721, 1956, 1525, 710, 2090, 616, 4098, 547, 2322, 811, 8561, 593, 519, 1808, 2360, 1525, 710, 814, 593, 12322, 269, 2859, 2090, 786, 3136, 547, 2097, 856, 799, 786, 2285, 4966, 513, 811, 4111, 1043, 1620, 540, 519, 7110, 1808, 547, 18295, 946, 563, 1432, 616, 519, 4220, 540, 2921, 6282, 710, 888, 8601, 519, 20310, 1297, 540, 2090, 602, 1397, 513, 3668, 540, 1981, 3238, 609, 2921, 1525, 710, 267, 972, 616, 930, 1919, 547, 2015, 1354, 2921, 621, 269, 1280, 1383, 267, 2043, 609, 10447, 723, 4810, 7707, 2989, 2589, 971, 607, 2799, 6553, 543, 7411, 7244, 269, 898, 568, 19230, 1996, 2921, 5061, 899, 29469, 267, 9800, 267, 543, 16481, 1575, 19745, 523, 538, 14966, 609, 1525, 710, 269, 25175, 5461, 538, 2921, 1525, 710, 1058, 5077, 609, 513, 4387, 267, 2523, 3823, 1346, 609, 1022, 2564, 17244, 269, 7743, 1525, 710, 21455, 568, 1271, 269, 14171, 519, 4636, 2179, 610, 538, 519, 4636, 1259, 666, 1267, 538, 8459, 15828, 1853, 7965, 269, 26929, 532, 1525, 710, 9846, 543, 4509, 1697, 20697, 2429, 519, 3003, 1554, 616, 1919, 547, 4225, 563, 7093, 28700, 540, 6282, 710, 454, 24478, 710, 568, 606, 5051, 2442, 7110, 585, 1312, 12322, 543, 4079, 269, 4400, 1153, 543, 1908, 326, 5573, 9845, 2066, 519, 2197, 1491, 1525, 710, 607, 851, 540, 741, 1072, 270, 10177, 1456, 1544, 269, 898, 568, 711, 2312, 1018, 6871, 540, 1164, 1153, 9845, 946, 1525, 710, 267, 4352, 621, 568, 5156, 602, 9170, 689, 476, 1015, 268, 736, 260, 540, 873, 1867, 1210, 621, 693, 930, 1448, 269, 2311, 519, 1908, 326, 5573, 1377, 267, 5111, 476, 1789, 260, 540, 6498, 476, 272, 9845, 1867, 2921, 930, 1106, 540, 1525, 710, 21455, 269, 476, 2004, 260, 540, 715, 14566, 9845, 616, 593, 1525, 710, 269, 634, 2179, 540, 9845, 1210, 1525, 710, 814, 270, 11666, 1132, 547, 4473, 607, 811, 1382, 4478, 922, 3106, 7252, 563, 3383, 267, 568, 1525, 710, 2922, 585, 12322, 286, 634, 2626, 547, 602, 2243, 5673, 593, 1018, 707, 2070, 540, 2922, 568, 269, 23985, 2808, 2922, 676, 835, 1268, 949, 711, 581, 6743, 693, 519, 1482, 1259, 607, 519, 1985, 269, 6164, 1525, 710, 519, 1482, 607, 1022, 824, 1134, 3146, 572, 2117, 1117, 7110, 269, 1280, 3236, 267, 621, 1058, 581, 6743, 693, 519, 1482, 1259, 607, 3940, 8869, 269, 5637, 1525, 710, 543, 3940, 616, 7135, 1336, 6923, 1369, 519, 1480, 1560, 267, 543, 1312, 723, 8810, 2640, 269, 5637, 267, 952, 3144, 27235, 267, 666, 581, 2182, 593, 707, 8219, 269, 8616, 267, 1525, 710, 568, 2356, 3379, 811, 5702, 609, 606, 20326, 28335, 982, 621, 568, 609, 3940, 269, 901, 568, 1312, 606, 25031, 543, 7301, 6041, 269, 9521, 28335, 267, 1525, 710, 568, 6923, 1336, 1369, 519, 1560, 607, 1134, 607, 538, 1082, 540, 519, 3536, 649, 3548, 267, 1175, 899, 3940, 568, 563, 2005, 568, 1360, 1271, 547, 2015, 602, 3025, 568, 1114, 543, 1223, 8858, 8795, 2360, 689, 9360, 269, 6333, 3257, 1582, 8410, 1356, 940, 1382, 17640, 547, 1525, 710, 543, 922, 2360, 593, 1367, 1072, 2175, 269, 2334, 1373, 1767, 267, 585, 1034, 1004, 267, 1697, 543, 5812, 1525, 710, 21455, 568, 2808, 2922, 676, 4966, 1759, 593, 519, 3875, 2090, 4478, 621, 563, 268, 2817, 7732, 540, 6925, 1107, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 277, 2767, 280, 5952, 275, 13045, 268, 28199, 6022, 1067, 11233, 585, 5753, 1107, 4179, 2517, 4178, 269, 7568, 1245, 25659, 1067, 327, 2214, 1388, 2593, 270, 20880, 3620, 889, 270, 29019, 25829, 268, 2280, 2173, 344, 268, 10117, 14025, 2275, 805, 710, 454, 268, 5510, 4149, 324, 1783, 19158, 8541, 1107, 4179, 2517, 4752, 572, 1783, 987, 8541, 2593, 11486, 523, 9026, 6361, 2275, 805, 710, 16519, 268, 10117, 268, 987, 2280, 525, 13045, 268, 1977, 9142, 540, 27435, 1107, 4179, 2517, 21504, 725, 18502, 777, 3820, 9706, 8824, 338, 270, 14835, 268, 629, 5724, 270, 10482, 270, 273, 270, 275, 2641, 270, 277, 4375, 2190, 14727, 805, 710, 268, 8196, 5025, 332, 784, 268, 21930, 5025, 628, 2280, 525, 888, 268, 2475, 4696, 288, 1107, 4179, 2517, 4178, 30994, 3385, 3820, 4882, 2869, 527, 6361, 1606, 1636, 270, 25531, 270, 987, 2280, 525, 16250, 539, 268, 3104, 2275, 805, 710, 13045, 268, 25832, 18669, 1107, 4179, 2517, 4178, 6230, 599, 665, 4802, 545, 3820, 7933, 2607, 338, 23418, 6123, 2275, 805, 710, 270, 691, 268, 10711, 275, 4037, 11011, 258, 281, 349, 281, 3667, 284, 24478, 710, 0, 6635, 992, 21650, 723, 1279, 4371, 513, 1713, 1747, 538, 1585, 4529, 1472, 519, 1158, 269, 1452, 1507, 267, 11329, 10007, 723, 1044, 1031, 585, 10122, 267, 13137, 267, 543, 5289, 2853, 585, 5215, 540, 1296, 269, 1717, 267, 3564, 741, 4052, 946, 267, 15561, 21650, 4163, 2620, 5289, 2495, 543, 13513, 602, 568, 1419, 15763, 563, 6635, 992, 21650, 616, 5156, 547, 2099, 4222, 267, 1445, 267, 543, 4287, 269, 3807, 607, 606, 15561, 3650, 568, 8325, 543, 5730, 267, 621, 23327, 519, 2702, 547, 2759, 998, 9465, 543, 1265, 513, 2312, 2619, 269, 769, 7111, 1977, 4529, 267, 15561, 21650, 941, 2938, 607, 3532, 5657, 1143, 753, 602, 1223, 3142, 4027, 267, 10100, 267, 543, 1967, 547, 519, 649, 13145, 563, 13010, 267, 15561, 21650, 616, 1419, 2404, 609, 519, 3693, 540, 2011, 543, 519, 7706, 540, 4555, 543, 2093, 269, 1358, 616, 2219, 547, 4163, 519, 1648, 540, 519, 2842, 267, 799, 666, 3142, 9355, 543, 6667, 269, 1488, 992, 21650, 616, 5156, 547, 948, 519, 649, 13145, 1921, 609, 741, 20932, 543, 1118, 3664, 609, 513, 2312, 2247, 563, 6635, 992, 21650, 849, 3180, 4644, 538, 5289, 12738, 543, 18428, 269, 769, 930, 7111, 1977, 5389, 267, 15561, 21650, 941, 1031, 538, 7067, 2853, 547, 4894, 2942, 1648, 543, 3895, 3666, 543, 10103, 269, 1358, 941, 849, 1031, 607, 17008, 547, 519, 14326, 267, 8204, 519, 9837, 543, 1445, 540, 519, 1367, 563, 15371, 1031, 607, 513, 3090, 540, 4222, 267, 513, 1907, 585, 5289, 4276, 267, 610, 513, 12576, 540, 3504, 5389, 267, 15561, 21650, 4163, 513, 2620, 5289, 2495, 602, 25186, 942, 269, 4197, 741, 13513, 543, 2956, 666, 3142, 513, 17105, 7071, 585, 891, 1507, 267, 2943, 3532, 267, 13742, 540, 1480, 1686, 563, 18698, 519, 17959, 540, 1488, 992, 21650, 454, 763, 8129, 540, 15561, 21650, 666, 581, 14360, 1394, 547, 3504, 2053, 950, 3425, 1101, 3459, 1210, 2645, 543, 9604, 1500, 689, 6149, 269, 12942, 15561, 21650, 941, 513, 1713, 5647, 538, 10122, 543, 13137, 267, 3246, 513, 811, 2500, 543, 24037, 1797, 540, 11495, 10352, 610, 14763, 689, 513, 3845, 563, 19425, 2801, 1670, 2963, 5267, 602, 2038, 3425, 3323, 1210, 15561, 21650, 1472, 476, 5038, 267, 1822, 1296, 3516, 267, 1282, 519, 5664, 12942, 6520, 269, 1452, 2038, 15561, 21650, 941, 3335, 1500, 689, 1166, 842, 610, 10027, 339, 543, 941, 8032, 676, 669, 6235, 2476, 693, 519, 6149, 547, 1711, 513, 8325, 1448, 269, 3683, 942, 267, 519, 2553, 585, 1818, 15561, 21650, 2968, 811, 15568, 267, 4611, 538, 513, 2647, 3099, 540, 5546, 543, 7306, 563, 6635, 992, 21650, 941, 1031, 676, 1585, 3504, 12977, 267, 1519, 519, 21072, 267, 16380, 267, 14564, 267, 543, 7111, 1977, 11031, 269, 3962, 2528, 1185, 922, 1378, 2189, 2511, 543, 1374, 540, 15561, 21650, 267, 10452, 741, 1808, 2115, 543, 5389, 563, 2690, 7111, 1977, 11031, 267, 15561, 21650, 4371, 1390, 5289, 543, 12572, 4644, 269, 1358, 941, 1419, 2938, 607, 3532, 5657, 1143, 753, 602, 4547, 4027, 267, 4222, 267, 543, 1434, 19539, 547, 519, 649, 13145, 269, 634, 3337, 540, 519, 15561, 3650, 729, 2219, 547, 2099, 519, 2702, 547, 533, 15127, 998, 9465, 543, 7753, 2591, 563, 14454, 267, 519, 8129, 540, 15561, 21650, 616, 7184, 12082, 538, 1480, 1686, 543, 2992, 938, 27265, 543, 4199, 6888, 538, 9001, 2067, 2326, 547, 1711, 2645, 602, 8032, 938, 6668, 543, 1646, 607, 513, 2249, 563, 9199, 1424, 519, 8466, 24306, 454, 6635, 992, 21650, 723, 513, 3638, 1686, 602, 7389, 1394, 5215, 540, 1296, 269, 1452, 1507, 267, 11329, 3615, 723, 1044, 606, 7533, 851, 540, 1585, 4529, 543, 12977, 2429, 1686, 269, 32274, 741, 5072, 666, 1683, 513, 4514, 1620, 540, 741, 4644, 543, 13513, 563, 763, 946, 540, 15561, 21650, 666, 581, 14360, 1394, 547, 3504, 2053, 950, 789, 941, 5097, 1031, 607, 9604, 585, 10122, 543, 13137, 269, 7111, 1977, 11031, 267, 971, 607, 519, 28833, 267, 1290, 534, 3832, 267, 543, 13961, 26919, 267, 16941, 593, 15561, 21650, 585, 6668, 543, 4027, 269, 1452, 1507, 855, 14686, 2645, 941, 18705, 609, 1390, 5578, 543, 8856, 563, 6635, 992, 21650, 941, 849, 1031, 676, 3504, 12977, 971, 607, 519, 21072, 267, 16380, 267, 543, 14564, 269, 769, 891, 4529, 267, 15561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4095, 2817, 25035, 2433, 2353, 1411, 10261, 1677, 5700, 454, 763, 4095, 2817, 25035, 2433, 2353, 1411, 10261, 1677, 5700, 269, 1306, 3127, 18270, 622, 922, 476, 10170, 560, 6243, 4303, 593, 476, 2918, 5130, 476, 1708, 271, 621, 568, 1271, 585, 721, 547, 917, 519, 2956, 540, 938, 9206, 563, 763, 25035, 2433, 634, 4095, 2817, 9206, 267, 519, 28886, 565, 712, 607, 519, 1158, 7125, 621, 610, 968, 307, 597, 18553, 892, 607, 649, 1289, 621, 267, 568, 8197, 835, 540, 519, 1034, 6209, 17514, 538, 519, 1158, 799, 28420, 519, 3638, 1686, 540, 3127, 269, 589, 9206, 666, 2161, 513, 2603, 827, 519, 2197, 267, 621, 4564, 519, 4961, 267, 519, 2418, 267, 4529, 267, 8155, 267, 543, 5389, 269, 623, 532, 8932, 10469, 10798, 5984, 729, 519, 1101, 1268, 547, 6318, 519, 3390, 540, 2348, 513, 3084, 9206, 585, 519, 4182, 269, 634, 4013, 7516, 540, 519, 9206, 616, 476, 274, 10623, 564, 3376, 543, 476, 273, 3952, 7381, 269, 2201, 476, 2420, 526, 5147, 476, 3707, 278, 267, 519, 28886, 565, 528, 729, 7608, 547, 581, 519, 4013, 9206, 540, 3127, 563, 763, 1614, 26145, 616, 10778, 306, 3530, 1258, 281, 610, 968, 321, 327, 698, 11445, 892, 6763, 585, 10100, 267, 15093, 267, 15646, 10586, 267, 543, 1582, 16531, 269, 2372, 7627, 3220, 269, 7203, 557, 335, 718, 328, 267, 968, 289, 327, 698, 11445, 610, 519, 1094, 742, 1258, 2681, 18575, 15646, 10586, 610, 771, 15517, 539, 1145, 269, 3776, 3401, 1590, 581, 967, 27075, 547, 1570, 12374, 543, 4142, 6510, 2933, 547, 741, 960, 9731, 19669, 281, 901, 7990, 6763, 585, 19969, 267, 19454, 267, 4708, 267, 27194, 267, 543, 1702, 269, 6519, 568, 513, 3090, 540, 1769, 267, 1769, 839, 519, 2619, 540, 5168, 547, 3391, 519, 4182, 563, 16675, 281, 4564, 13884, 267, 5132, 267, 543, 12680, 269, 898, 849, 6920, 3039, 2044, 782, 936, 3127, 267, 607, 23600, 568, 606, 6694, 4182, 563, 2026, 327, 758, 932, 31518, 281, 634, 932, 31518, 4564, 968, 291, 327, 12609, 892, 610, 32660, 2509, 519, 4182, 543, 922, 4961, 269, 634, 12891, 758, 932, 31518, 3568, 476, 2190, 22557, 538, 519, 4099, 799, 849, 6799, 519, 476, 2190, 10475, 3108, 540, 519, 2898, 1554, 543, 4665, 919, 519, 4961, 547, 8415, 873, 547, 519, 2407, 652, 269, 634, 546, 327, 12609, 669, 31518, 267, 849, 1459, 538, 7203, 333, 987, 621, 729, 3144, 676, 3751, 12891, 24499, 547, 2099, 593, 519, 1283, 540, 1010, 22225, 269, 634, 26010, 4544, 7990, 540, 519, 669, 31518, 4564, 519, 6607, 543, 519, 5836, 563, 6097, 547, 519, 9699, 4984, 267, 782, 519, 476, 2190, 22557, 540, 519, 3084, 25035, 4564, 519, 5020, 1797, 634, 20144, 12609, 799, 616, 607, 5205, 281, 11146, 267, 595, 5971, 267, 4793, 1466, 267, 13458, 6888, 267, 13804, 534, 14383, 267, 6153, 1145, 267, 18321, 6888, 267, 22918, 30276, 267, 8682, 16531, 267, 8682, 4211, 2632, 1503, 267, 8682, 15762, 337, 12715, 267, 18266, 6888, 267, 9406, 15667, 1145, 267, 10456, 267, 8585, 1097, 267, 24553, 6888, 267, 9966, 1006, 267, 27919, 267, 6641, 15797, 267, 20154, 11310, 267, 26874, 18880, 267, 20154, 27067, 267, 634, 21824, 540, 2696, 543, 18321, 630, 14582, 3971, 610, 16593, 1916, 288, 1906, 1271, 32461, 689, 519, 25035, 8943, 540, 3127, 263, 1220, 273, 264, 10778, 268, 634, 9206, 814, 547, 581, 11876, 13554, 1310, 3141, 23438, 543, 1058, 581, 22485, 1524, 676, 23863, 454, 268, 634, 570, 597, 18553, 18085, 581, 1031, 585, 7802, 267, 1225, 13935, 610, 1022, 3909, 5301, 454, 268, 634, 9206, 12582, 1406, 581, 2630, 707, 4463, 543, 1100, 9206, 1058, 581, 2362, 982, 519, 28886, 565, 528, 952, 1079, 17514, 616, 1459, 693, 519, 1482, 942, 543, 1747, 563, 268, 634, 3259, 4463, 5223, 540, 519, 9206, 814, 547, 581, 476, 274, 281, 273, 563, 268, 2755, 11876, 12371, 543, 16715, 519, 9206, 610, 1282, 513, 31959, 267, 782, 1004, 1459, 1058, 3068, 519, 9206, 543, 1796, 693, 3007, 1247, 7606, 538, 7833, 1058, 1796, 693, 3007, 543, 2892, 1393, 563, 2467, 616, 513, 1906, 20887, 827, 938, 570, 597, 18553, 538, 519, 2486, 799, 814, 2404, 621, 609, 519, 3909, 6302, 267, 855, 621, 3884, 1406, 899, 602, 543, 519, 1225, 2209, 540, 938, 9206, 1185, 513, 4514, 2631, 540, 2495, 1247, 8888, 621, 256, 634, 570, 597, 18553, 568, 585, 12075, 607, 513, 2898, 267, 1577, 779, 581, 10583, 540, 519, 1249, 602, 23600, 568, 835, 540, 519, 4686, 1906, 2477, 609, 865, 1454, 540, 4763, 540, 2528, 267, 1893, 5389, 267, 543, 1018, 2254, 563, 2108, 4462, 640, 538, 16844, 7536, 20684, 4427, 4784, 1635, 912, 19447, 10498, 306, 15760, 667, 14701, 11123, 667, 9128, 9970, 6789, 303, 7644, 3198, 4811, 454, 295, 26996, 24639, 6717, 8577, 681, 12442, 454, 9359, 707, 9399, 289, 21339, 609, 891, 16887, 26940, 552, 9248, 563, 25111, 476, 272, 9399, 289, 1107, 9399, 289, 744, 597, 19545, 454, 7704, 289, 10017, 4530, 1107, 8437, 3371, 454, 7704, 289, 6828, 570, 3696, 1107, 8437, 3371, 454, 763, 15122, 2561, 518, 4003, 4530, 1107, 8437, 3371, 454, 306, 527, 6672, 31472, 4530, 1107, 8437, 3371, 0, 268, 4139, 8635, 454, 335, 3420, 2084, 1379, 26027, 321, 12118, 264, 1472, 519, 1158, 538, 519, 1032, 476, 1220, 271, 269, 3962, 2681, 4564, 519, 5223, 540, 4747, 538, 519, 2197, 547, 519, 1158, 1611, 269, 18831, 11954, 2699, 723, 1447, 982, 835, 10116, 540, 519, 1158, 1611, 4747, 269, 18831, 11954, 4158, 4544, 723, 811, 982, 2185, 2053, 1611, 1158, 4747, 269, 634, 6967, 4778, 5815, 26038, 1063, 891, 26037, 281, 4158, 11909, 630, 271, 269, 1839, 268, 271, 269, 4037, 1070, 1769, 11909, 630, 271, 269, 4037, 268, 272, 269, 1839, 264, 543, 1769, 4544, 630, 272, 269, 1839, 268, 275, 1040, 11905, 281, 1496, 10674, 2517, 1075, 520, 20393, 269, 1075, 2675, 12975, 17459, 25304, 540, 6820, 32389, 316, 1547, 2639, 17220, 8635, 568, 8635, 1063, 2477, 630, 22396, 269, 30912, 990, 545, 476, 1220, 273, 1040, 9483, 3604, 1063, 3638, 543, 4057, 2477, 616, 9645, 269, 4340, 547, 519, 454, 18197, 8315, 14549, 4886, 7797, 476, 1220, 275, 267, 519, 12654, 829, 21027, 538, 2477, 609, 1164, 267, 5420, 543, 1970, 1480, 1646, 630, 320, 8760, 1759, 593, 519, 6167, 5274, 4886, 12039, 264, 729, 476, 2190, 267, 3199, 277, 267, 476, 275, 267, 29483, 543, 476, 272, 267, 7277, 623, 13048, 8961, 6606, 630, 13048, 303, 259, 815, 11449, 1379, 26027, 1889, 25979, 538, 2136, 2276, 9489, 1040, 1496, 10674, 2517, 327, 20142, 269, 1495, 335, 3820, 23995, 520, 2524, 7933, 1092, 270, 785, 545, 270, 785, 545, 318, 275, 318, 272, 318, 272, 11258, 2639, 288, 1353, 676, 519, 2622, 4659, 585, 4886, 13188, 3194, 693, 2136, 8315, 2160, 5359, 602, 519, 29659, 476, 272, 260, 540, 4079, 4805, 11262, 476, 2412, 260, 540, 2518, 7221, 538, 519, 1032, 476, 1220, 271, 267, 543, 602, 519, 29659, 476, 1015, 260, 540, 4079, 20039, 585, 476, 5952, 260, 540, 519, 1158, 2698, 269, 634, 5377, 3368, 540, 519, 1158, 2937, 2551, 11262, 18923, 476, 272, 260, 540, 2518, 5763, 269, 6987, 2400, 7194, 267, 1082, 10834, 519, 3395, 1158, 29373, 267, 616, 3769, 538, 519, 2139, 1867, 267, 2046, 13847, 267, 9185, 7515, 543, 5295, 4812, 15942, 269, 634, 2101, 5057, 540, 519, 1158, 781, 4747, 8635, 630, 1492, 2518, 454, 294, 7236, 11664, 264, 568, 16922, 676, 1079, 2516, 540, 2477, 630, 21406, 519, 834, 339, 7773, 19589, 257, 676, 2372, 1695, 476, 30155, 265, 634, 1101, 1895, 814, 476, 1724, 260, 540, 519, 1158, 781, 2551, 543, 11392, 476, 3393, 260, 540, 519, 1158, 781, 623, 13048, 4747, 269, 901, 1895, 2882, 519, 2136, 2276, 267, 3567, 267, 5125, 267, 5333, 543, 519, 2136, 8003, 267, 543, 13408, 476, 4335, 2929, 1004, 609, 606, 5993, 4747, 1377, 936, 476, 1556, 267, 4335, 623, 13048, 259, 563, 265, 763, 2034, 1895, 814, 476, 5655, 260, 540, 519, 1158, 781, 2551, 543, 11392, 1152, 476, 280, 260, 540, 519, 1158, 623, 13048, 4747, 269, 901, 1895, 2882, 3127, 267, 12868, 543, 6917, 3624, 267, 543, 13408, 476, 273, 267, 1911, 2929, 1004, 609, 606, 4747, 1377, 896, 476, 272, 267, 1822, 623, 13048, 10608, 630, 8450, 30912, 990, 545, 476, 1220, 272, 267, 533, 269, 4343, 1916, 30356, 8635, 568, 3622, 2808, 547, 581, 5111, 12825, 607, 835, 21986, 525, 519, 31324, 540, 3084, 543, 1158, 7239, 689, 1283, 3562, 1532, 18847, 269, 2859, 10427, 3631, 540, 4747, 3892, 949, 4019, 630, 5408, 454, 7628, 519, 476, 736, 628, 2540, 972, 729, 9645, 27754, 1063, 519, 2804, 5763, 540, 2919, 543, 3384, 2477, 269, 26548, 615, 2477, 899, 519, 2136, 2276, 543, 1082, 3864, 2477, 4780, 3022, 1927, 2509, 513, 12654, 829, 21027, 1454, 3152, 982, 3384, 2477, 971, 607, 3127, 543, 18629, 563, 763, 4720, 540, 519, 4747, 7934, 1063, 4057, 543, 3638, 2477, 568, 1644, 547, 19427, 269, 20593, 10885, 666, 581, 3989, 607, 834, 1492, 12402, 585, 25013, 2477, 547, 1332, 5488, 982, 21950, 3283, 543, 267, 8754, 267, 585, 741, 2157, 540, 4747, 547, 27721, 257, 1496, 10674, 2517, 4178, 9884, 5454, 23810, 3820, 11721, 663, 323, 270, 1263, 1501, 270, 6187, 280, 277, 270, 14895, 270, 271, 3445, 7597, 277, 21867, 316, 1547, 20593, 10885, 568, 513, 2339, 540, 1699, 1382, 543, 7521, 267, 855, 1034, 2090, 723, 3254, 3668, 540, 2963, 585, 6207, 19427, 1759, 593, 16198, 1851, 2477, 630, 5976, 2543, 547, 713, 7521, 1294, 585, 3236, 23045, 543, 1715, 332, 9707, 630, 1220, 274, 264, 610, 1496, 10674, 2517, 1075, 520, 20393, 269, 1075, 2675, 12975, 30032, 2492, 270, 1372, 321, 622, 11258, 316, 30155, 5278, 540, 519, 2804, 13103, 1851, 6082, 666, 581, 1732, 15874, 950, 3638, 543, 4057, 2477, 610, 7239, 616, 4334, 539, 269, 1280, 1383, 267, 609, 2543, 547, 4747, 8635, 267, 2687, 547, 930, 9193, 676, 454, 289, 17213, 334, 30912, 990, 545, 5228, 519, 2622, 7813, 912, 265, 834, 2304, 1977, 2348, 519, 3328, 4747, 540, 519, 5377, 2475, 1232, 850, 568, 1732, 11325, 982, 476, 273, 270, 274, 540, 1158, 2551, 1701, 630, 300, 559, 534, 990, 545, 476, 1220, 273, 267, 533, 269, 2004, 994, 265, 834, 763, 1283, 476, 1015, 2600, 540, 519, 2475, 2551, 814, 606, 14919, 4747, 3160, 547, 4747, 540, 519, 30529, 476, 6246, 2600, 540, 1004, 538, 519, 1158, 267, 610, 8335, 2322, 267, 2698, 4747, 540, 519, 29659, 476, 1839, 2929, 4892, 568, 3160, 547, 2698, 4747, 540, 3592, 476, 273, 5479, 1004, 1701, 630, 300, 559, 534, 990, 545, 476, 1220, 273, 267, 533, 269, 2004, 264, 4415, 2543, 547, 5763, 8635, 630, 516, 572, 2117, 1667, 3989, 5763, 607, 519, 1871, 540, 2168, 543, 2883, 7221, 14263, 22440, 1070, 513, 476, 1220, 277, 1867, 609, 1239, 689, 476, 1220, 271, 11943, 602, 912, 265, 834, 19328, 2531, 7149, 519, 5377, 3791, 540, 519, 2518, 5763, 3892, 267, 7700, 513, 2370, 896, 513, 3791, 630, 2767, 829, 1298, 547, 581, 5730, 264, 540, 713, 1895, 269, 634, 1647, 3791, 540, 519, 3892, 568, 519, 6389, 540, 3624, 799, 7727, 811, 982, 513, 3791, 540, 1346, 538, 1232, 3796, 476, 275, 268, 279, 269, 2311, 519, 1283, 1439, 267, 3345, 3013, 267, 2342, 543, 1164, 13867, 5607, 30049, 1047, 519, 1283, 1232, 850, 267, 1142, 6237, 1895, 8051, 585, 1472, 835, 3791, 540, 519, 29659, 5763, 25963, 257, 630, 291, 822, 625, 1696, 620, 269, 476, 1220, 277, 267, 533, 269, 2767, 994, 265, 834, 1492, 1283, 476, 1015, 829, 1298, 540, 4079, 1378, 476, 5952, 829, 1298, 540, 2518, 7622, 5763, 267, 865, 602, 519, 3328, 4759, 540, 713, 1895, 814, 476, 279, 269, 276, 2053, 519, 2518, 3328, 8066, 269, 634, 7222, 5515, 585, 519, 1283, 476, 276, 829, 1298, 267, 1283, 476, 273, 829, 1298, 267, 543, 1283, 476, 272, 829, 1298, 616, 476, 10170, 829, 1298, 630, 1691, 269, 273, 2053, 519, 3328, 1070, 476, 7906, 829, 1298, 630, 1839, 2053, 519, 3328, 264, 543, 476, 2412, 829, 1298, 630, 2412, 2053, 519, 3328, 1070, 6606, 269, 901, 19776, 609, 519, 5377, 3368, 540, 519, 3892, 799, 15217, 22595, 18923, 476, 272, 829, 1298, 540, 2518, 5763, 269, 4935, 519, 1283, 476, 272, 829, 1298, 1378, 3592, 476, 2412, 2053, 607, 1454, 607, 519, 5377, 476, 2004, 829, 1298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4828, 15057, 6013, 538, 513, 7580, 1747, 538, 4000, 269, 4706, 3854, 2749, 568, 715, 23879, 6798, 609, 513, 1699, 2698, 2551, 540, 476, 4375, 269, 476, 1556, 2929, 621, 814, 606, 1858, 540, 476, 23470, 267, 31634, 4009, 5195, 269, 5565, 1292, 8906, 538, 15057, 723, 1500, 513, 1390, 9295, 547, 519, 4720, 3529, 269, 1452, 8906, 941, 1500, 538, 519, 1032, 476, 1220, 271, 676, 606, 7681, 540, 3486, 3744, 267, 1034, 540, 945, 941, 689, 5333, 538, 5698, 609, 3744, 2404, 609, 519, 2817, 631, 13952, 540, 15057, 630, 301, 300, 298, 1070, 2324, 896, 606, 22597, 1788, 1634, 607, 519, 25391, 11893, 1280, 320, 3194, 5741, 1291, 676, 700, 1787, 2274, 820, 344, 945, 729, 693, 519, 942, 540, 519, 8906, 28337, 547, 519, 2817, 631, 13952, 540, 15057, 543, 741, 4681, 941, 3370, 538, 519, 2257, 4760, 7186, 269, 1452, 2090, 28263, 519, 4505, 11786, 4681, 676, 8230, 12505, 11001, 9400, 2274, 820, 344, 593, 519, 3169, 2085, 4630, 514, 1749, 1336, 593, 25391, 11893, 1280, 320, 9351, 602, 6013, 7532, 540, 8235, 12395, 3570, 269, 634, 1101, 19494, 547, 581, 1336, 729, 11552, 691, 1117, 689, 519, 12406, 540, 918, 2355, 14137, 538, 570, 1872, 523, 15113, 602, 616, 1336, 538, 519, 8230, 12505, 8664, 540, 645, 2130, 334, 538, 5239, 476, 1839, 267, 476, 1220, 271, 269, 634, 1292, 2694, 540, 519, 1480, 602, 941, 14155, 730, 3769, 28287, 602, 8659, 4522, 267, 5580, 543, 2539, 4522, 602, 941, 849, 9678, 689, 1142, 824, 267, 543, 1312, 519, 6186, 543, 9416, 7633, 269, 19461, 2090, 593, 519, 9416, 7633, 8604, 547, 1291, 547, 519, 19583, 602, 519, 4630, 514, 573, 4362, 941, 4054, 6172, 1499, 1247, 2147, 2090, 593, 519, 1850, 7633, 3964, 873, 547, 581, 1079, 682, 13949, 7068, 602, 15336, 593, 519, 2666, 269, 5381, 3355, 2090, 593, 4522, 4951, 602, 519, 666, 1149, 941, 10156, 982, 519, 3284, 525, 2705, 282, 789, 941, 3476, 952, 3379, 547, 519, 1699, 1480, 22578, 269, 901, 4440, 8612, 602, 789, 5030, 593, 3552, 5613, 3226, 2182, 1606, 7219, 2740, 5613, 269, 634, 1850, 7633, 593, 3355, 8343, 8604, 547, 723, 1750, 14954, 4440, 676, 513, 1804, 23097, 648, 602, 1031, 547, 3049, 593, 519, 2043, 945, 11478, 1287, 269, 634, 3173, 2219, 519, 23097, 648, 1522, 723, 1044, 513, 3032, 585, 519, 2241, 7744, 602, 519, 3032, 20555, 593, 922, 6952, 1247, 593, 513, 3529, 543, 621, 12728, 14214, 24149, 10634, 338, 1282, 713, 1184, 602, 519, 3788, 8593, 593, 519, 1216, 2630, 269, 4256, 1382, 4681, 941, 3370, 538, 476, 280, 628, 27362, 476, 1220, 278, 269, 634, 2090, 941, 2944, 593, 5439, 602, 941, 1336, 538, 12395, 3570, 799, 568, 538, 519, 8832, 3819, 15057, 269, 12207, 945, 941, 4974, 519, 4720, 1686, 538, 15057, 4080, 593, 741, 4681, 11722, 532, 593, 2038, 4681, 602, 30941, 3110, 18442, 543, 30941, 16245, 639, 7960, 835, 1310, 519, 824, 1373, 538, 513, 2786, 1899, 547, 30941, 18682, 16772, 269, 769, 8669, 741, 2079, 1759, 593, 1079, 15013, 267, 835, 1373, 513, 30941, 3110, 18442, 18584, 476, 272, 269, 476, 4510, 2929, 1296, 267, 713, 1373, 519, 21836, 2249, 2479, 1336, 676, 3744, 945, 941, 4974, 519, 4720, 540, 1480, 267, 543, 513, 4630, 334, 16245, 639, 18584, 476, 272, 269, 476, 4649, 2929, 1296, 3516, 267, 5030, 21276, 569, 7258, 1142, 824, 585, 606, 6059, 1974, 540, 2947, 4627, 8536, 1296, 269, 901, 771, 23974, 5809, 519, 2219, 602, 30941, 3110, 18442, 7960, 689, 1753, 16245, 639, 18867, 22198, 4474, 519, 3355, 2786, 1899, 547, 30941, 18682, 16772, 269, 901, 8612, 602, 972, 729, 606, 16937, 1063, 519, 30941, 3110, 18442, 543, 30941, 16245, 639, 6502, 543, 2417, 267, 621, 8612, 602, 519, 1249, 789, 519, 1079, 2249, 7307, 547, 2661, 21276, 569, 593, 519, 1482, 10720, 16935, 1287, 621, 568, 1318, 547, 2303, 602, 789, 4440, 1185, 1114, 8733, 12137, 1127, 607, 513, 1267, 9319, 1463, 6735, 602, 1131, 723, 3366, 547, 17594, 540, 835, 540, 519, 2249, 269, 21642, 518, 18281, 835, 540, 519, 3744, 3238, 538, 519, 1353, 267, 945, 729, 1287, 4974, 693, 519, 7849, 3778, 7467, 538, 5507, 538, 519, 2361, 540, 1480, 8129, 2303, 519, 2009, 1272, 6163, 269, 769, 1010, 2070, 519, 3677, 543, 811, 5985, 16245, 639, 729, 7654, 513, 811, 3742, 25433, 1247, 519, 1447, 3742, 543, 4130, 30941, 3110, 18442, 729, 513, 25094, 10152, 269, 901, 1353, 3576, 1896, 1296, 547, 5965, 519, 19494, 865, 607, 547, 581, 4010, 2386, 540, 519, 8446, 540, 519, 19494, 269, 898, 3576, 1472, 5722, 1296, 585, 519, 1895, 540, 3744, 1291, 676, 2274, 820, 344, 547, 5659, 543, 14773, 519, 2164, 269, 901, 14648, 547, 519, 2070, 602, 3592, 1079, 547, 1614, 2929, 1296, 3516, 1312, 30941, 3110, 18442, 543, 30941, 16245, 639, 1590, 723, 12090, 689, 513, 1455, 22660, 269, 901, 1455, 22660, 568, 2219, 547, 723, 5030, 519, 2085, 6580, 3592, 1079, 547, 1614, 2929, 1296, 3516, 267, 513, 942, 602, 972, 568, 1100, 1454, 8093, 1344, 269, 901, 6602, 2417, 6920, 602, 519, 2038, 2489, 1620, 602, 812, 7960, 689, 513, 811, 513, 701, 899, 1373, 547, 513, 811, 1480, 899, 1373, 568, 1869, 14605, 21503, 269, 1717, 267, 519, 6602, 1281, 711, 4334, 1454, 689, 519, 2038, 2219, 602, 4630, 334, 3110, 18442, 568, 519, 1463, 22660, 540, 30941, 18682, 16772, 269, 634, 30941, 16245, 639, 8093, 4362, 693, 8235, 12395, 3570, 267, 18584, 476, 272, 269, 476, 4649, 2929, 1296, 3516, 267, 729, 513, 9983, 6602, 267, 2687, 547, 3220, 269, 1975, 3233, 513, 7548, 540, 7548, 693, 519, 2160, 5441, 5507, 7255, 609, 12105, 14169, 282, 519, 15693, 1185, 513, 11495, 4183, 607, 3379, 547, 2038, 8906, 281, 621, 729, 519, 10545, 269, 901, 1507, 2450, 729, 5266, 2673, 538, 2450, 547, 30941, 3110, 18442, 982, 519, 5892, 4362, 30941, 16245, 639, 2249, 269, 901, 1007, 4466, 1500, 3744, 547, 2015, 556, 7721, 600, 1456, 2038, 15693, 338, 789, 1185, 2907, 6394, 689, 1585, 2694, 543, 798, 8240, 540, 9864, 15455, 799, 1927, 2698, 539, 547, 13977, 538, 1297, 269, 1717, 267, 922, 8405, 267, 10265, 543, 4522, 543, 519, 1835, 13203, 609, 513, 10058, 4183, 1185, 519, 4162, 602, 8612, 621, 729, 513, 30941, 16245, 639, 269, 769, 1840, 267, 519, 15693, 540, 519, 1367, 602, 729, 1336, 538, 15057, 729, 4440, 606, 2937, 538, 922, 1762, 6502, 610, 513, 17723, 14214, 12953, 30755, 257, 11357, 14194, 738, 12728, 14214, 12953, 538, 922, 3735, 6502, 519, 3744, 6059, 519, 2085, 547, 581, 1063, 476, 1240, 543, 476, 866, 269, 634, 2038, 8906, 1185, 8612, 602, 519, 1804, 15693, 540, 519, 30941, 16245, 639, 729, 513, 2312, 16315, 602, 1753, 16245, 639, 729, 519, 1034, 2487, 538, 519, 22693, 540, 519, 1480, 1373, 519, 1152, 3017, 1373, 602, 1480, 7919, 1185, 513, 3677, 2634, 602, 519, 5449, 22660, 281, 30941, 16245, 639, 269, 1717, 267, 519, 1507, 15693, 4957, 713, 2070, 11021, 602, 30941, 16245, 639, 729, 1447, 1480, 899, 982, 4505, 10924, 269, 1717, 267, 1114, 1065, 13024, 593, 519, 8235, 12395, 3570, 4043, 547, 2285, 1114, 8369, 593, 519, 1507, 2450, 540, 519, 15693, 540, 30941, 3110, 18442, 602, 729, 1336, 269, 2290, 971, 27680, 568, 19626, 16653, 606, 10236, 6048, 693, 519, 2160, 540, 1715, 3840, 269, 769, 1200, 1867, 1352, 2022, 12885, 602, 519, 1507, 15693, 568, 606, 16315, 540, 519, 8795, 538, 15693, 7306, 540, 16245, 639, 19494, 609, 811, 8561, 593, 519, 3604, 1063, 519, 5256, 543, 519, 4775, 540, 519, 16245, 639, 2249, 269, 901, 3017, 538, 519, 1079, 568, 1018, 1352, 1572, 4638, 3897, 6973, 1143, 269, 2701, 2417, 11339, 547, 9414, 602, 593, 3328, 519, 1480, 9038, 616, 538, 2489, 3592, 476, 1428, 260, 3677, 982, 741, 4775, 13413, 269, 901, 1482, 8984, 10039, 547, 32315, 2763, 525, 543, 27580, 25022, 607, 1134, 269, 634, 3069, 540, 4638, 3897, 6973, 1143, 267, 1291, 547, 824, 10236, 5505, 547, 2097, 909, 609, 824, 5784, 585, 1383, 282, 3220, 269, 17389, 828, 2006, 540, 519, 12370, 6280, 6700, 602, 519, 3355, 8906, 540, 4630, 334, 16245, 639, 1590, 723, 1044, 5256, 2094, 789, 941, 1804, 538, 2450, 1247, 519, 19494, 602, 941, 1336, 693, 8235, 12395, 3570, 616, 2693, 547, 581, 8951, 1813, 547, 1507, 2450, 269, 19626, 16653, 10305, 4638, 3897, 6973, 1143, 547, 2901, 10285, 4640, 610, 4638, 5542, 269, 769, 606, 1383, 538, 1489, 540, 713, 2070, 1352, 6054, 602, 538, 519, 8988, 3724, 519, 5256, 616, 2484, 1454, 1804, 982, 8951, 543, 835, 5256, 2356, 814, 1896, 8951, 269, 769, 4334, 538, 5256, 575, 756, 19490, 616, 3592, 2147, 538, 2450, 547, 741, 4775, 13413, 18867, 789, 19898, 538, 8424, 269, 769, 824, 1913, 538, 519, 513, 929, 1493, 1920, 1141, 519, 5256, 543, 519, 4775, 723, 519, 1482, 2450, 15693, 519, 5256, 11148, 547, 581, 1395, 690, 13904, 6466, 513, 1920, 602, 814, 1114, 7306, 519, 5256, 11148, 547, 581, 21657, 13904, 269, 10390, 634, 6602, 540, 15455, 538, 15057, 543, 519, 1964, 540, 4000, 2523, 18629, 543, 519, 7766, 6580, 5773, 723, 3177, 513, 2647, 5044, 540, 942, 7406, 960, 799, 814, 2016, 513, 1007, 10155, 538, 16460, 2055, 540, 519, 5169, 543, 4720, 540, 4630, 514, 1749, 269, 2060, 6454, 538, 6580, 2553, 621, 568, 1631, 4443, 547, 7447, 267, 1510, 513, 2603, 540, 22027, 267, 519, 6502, 540, 513, 2016, 3327, 5627, 19494, 607, 3379, 547, 4505, 9193, 602, 941, 538, 1034, 2665, 941, 23503, 3905, 569, 1354, 513, 13618, 1131, 581, 8815, 2390, 269, 634, 6454, 538, 6580, 2553, 666, 581, 11911, 547, 519, 25465, 540, 476, 2412, 6635, 268, 4375, 6635, 6580, 4480, 269, 2060, 519, 1007, 8906, 519, 12105, 3529, 4667, 547, 3744, 547, 581, 26093, 2864, 982, 1373, 24123, 269, 901, 568, 1317, 519, 2025, 4720, 3069, 1141, 621, 729, 2219, 602, 5169, 540, 812, 3323, 689, 4630, 334, 3110, 18442, 547, 1753, 16245, 639, 543, 6368, 547, 2413, 812, 610, 4630, 334, 18682, 16772, 4667, 547, 581, 8810, 4636, 543, 538, 513, 811, 2241, 6073, 269, 634, 1007, 8906, 723, 2417, 1490, 19813, 1055, 519, 2856, 602, 1480, 7919, 7960, 689, 3026, 6387, 628, 1023, 269, 898, 568, 1271, 547, 4063, 602, 607, 1007, 8906, 616, 1500, 519, 12105, 3529, 786, 1832, 593, 4657, 269, 1717, 267, 2687, 547, 13690, 10964, 713, 1058, 581, 2808, 607, 513, 4493, 585, 3478, 811, 20310, 2963, 267, 3478, 2055, 12943, 811, 5693, 543, 1106, 6819, 811, 20501, 6436, 269, 22108, 1306, 325, 1177, 645, 269, 2073, 19134, 654, 269, 918, 269, 2073, 289, 5674, 2940, 962, 269, 2073, 11412, 928, 623, 269, 2073, 31408, 654, 269, 670, 269, 2073, 654, 1245, 324, 294, 629, 21119, 717, 269, 1696, 620, 269, 630, 1220, 273, 2567, 3816, 1622, 540, 30941, 16245, 639, 689, 645, 14873, 267, 5664, 21220, 1662, 267, 18629, 269, 7186, 267, 476, 275, 1626, 281, 28766, 268, 736, 269, 7195, 614, 631, 269, 543, 18582, 19490, 589, 269, 630, 1220, 273, 2567, 21518, 9741, 4658, 519, 1101, 547, 14679, 856, 540, 4000, 286, 3163, 267, 476, 29574, 281, 736, 268, 279, 269, 18412, 808, 269, 667, 269, 2073, 654, 1245, 324, 294, 629, 21119, 717, 269, 2073, 11412, 928, 623, 269, 2073, 2142, 344, 2940, 962, 269, 2073, 19134, 654, 269, 2073, 31408, 670, 269, 1696, 620, 269, 630, 1220, 274, 2567, 31854, 15572, 545, 543, 26567, 8658, 540, 20167, 626, 18152, 30941, 18682, 16772, 689, 5664, 21220, 1662, 267, 18629, 269, 7186, 267, 476, 31979, 281, 278, 6858, 268, 11025, 269, 6723, 631, 269, 2073, 14355, 717, 269, 2073, 32201, 590, 269, 2073, 630, 1220, 275, 264, 26187, 2812, 13017, 2776, 25993, 538, 519, 4639, 2342, 547, 2423, 17067, 11261, 269, 5507, 14288, 4964, 1715, 3840, 2160, 630, 20606, 476, 1724, 267, 476, 1220, 278, 267, 1040, 1715, 8230, 12505, 26187, 2812, 7420, 12878, 2082, 14358, 2201, 7216, 12472, 2986, 3776, 2637, 639, 30941, 269, 1715, 3840, 9400, 2274, 820, 344, 630, 1220, 273, 264, 519, 8129, 540, 1480, 2186, 281, 513, 3406, 540, 1018, 2306, 721, 1480, 269, 5507, 269, 22489, 4211, 3326, 1231, 23255, 563, 4736, 7846, 16648, 16648, 3378, 25000, 267, 476, 2641, 11012, 12811, 4344, 9326, 16648, 4814, 9326, 476, 1001, 280, 28314, 563, 763, 23527, 2986, 18266, 1656, 1546, 4003, 13898, 4828, 634, 5396, 540, 5168, 543, 26760, 616, 1919, 602, 4145, 3025, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3017, 568, 6027, 676, 513, 2878, 29754, 1599, 1262, 267, 799, 568, 513, 6310, 4542, 602, 3067, 5809, 519, 5470, 780, 763, 1184, 540, 4466, 519, 6099, 12035, 543, 12886, 568, 1572, 2878, 9953, 574, 1436, 1262, 267, 543, 621, 568, 3335, 2944, 1210, 606, 5690, 1572, 2878, 326, 2784, 1304, 16350, 1262, 269, 27240, 1304, 16350, 1568, 676, 12055, 8271, 14577, 519, 12035, 543, 12886, 538, 519, 6587, 4287, 540, 519, 13506, 540, 519, 2530, 1599, 267, 799, 568, 519, 4287, 540, 14869, 652, 16350, 780, 2162, 634, 8943, 692, 4131, 781, 1491, 513, 6251, 1413, 693, 519, 3009, 3177, 538, 519, 1349, 269, 1284, 786, 2736, 621, 1524, 883, 4130, 2694, 543, 2491, 1142, 835, 538, 1469, 780, 2971, 7383, 532, 23905, 692, 5575, 267, 649, 991, 547, 1104, 519, 2556, 8021, 269, 769, 713, 2013, 267, 649, 786, 946, 12877, 307, 25403, 267, 513, 2442, 5399, 585, 2679, 543, 2866, 8849, 5121, 563, 3499, 7090, 454, 5814, 23290, 454, 5814, 23290, 8542, 333, 607, 562, 333, 454, 5814, 23290, 269, 9953, 574, 607, 1566, 454, 5814, 11885, 607, 5286, 454, 8199, 2971, 20223, 519, 22532, 8416, 692, 9202, 267, 649, 991, 547, 5581, 938, 8849, 3060, 269, 769, 713, 1383, 267, 649, 786, 946, 513, 2241, 3049, 3453, 8849, 3060, 609, 835, 6456, 4494, 269, 1284, 786, 946, 519, 2387, 25699, 8160, 617, 2544, 319, 1362, 689, 12877, 307, 25403, 547, 5581, 938, 3060, 563, 3499, 7090, 454, 5035, 4880, 3799, 333, 8160, 617, 2544, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 263, 15187, 267, 1582, 1040, 1029, 8181, 1029, 4590, 1038, 1582, 8807, 322, 272, 815, 562, 333, 11482, 710, 541, 263, 4281, 275, 267, 476, 12553, 994, 1038, 1582, 8807, 322, 273, 815, 562, 333, 11482, 710, 541, 263, 12553, 267, 476, 1015, 2020, 825, 1219, 4464, 4311, 267, 1535, 2187, 1038, 1535, 815, 23290, 18622, 1663, 4311, 8807, 322, 272, 3287, 4917, 1038, 1535, 815, 23290, 28802, 318, 7809, 10946, 4311, 8807, 322, 273, 3287, 1070, 3897, 284, 272, 994, 1038, 2132, 1535, 454, 8199, 1103, 713, 3009, 267, 649, 5581, 513, 1362, 2387, 15187, 319, 602, 9100, 1080, 689, 2387, 25699, 8160, 617, 2544, 18269, 18738, 519, 1362, 267, 649, 5581, 1079, 4628, 4448, 6106, 267, 2387, 325, 322, 272, 319, 543, 2387, 325, 322, 273, 12452, 1210, 519, 2387, 25699, 11482, 710, 541, 319, 1362, 269, 634, 1101, 4494, 814, 476, 4281, 275, 3403, 2934, 543, 476, 12553, 3977, 2934, 267, 1247, 519, 2034, 4494, 814, 476, 12553, 3403, 2934, 543, 476, 1015, 3977, 2934, 780, 763, 2387, 3453, 319, 1505, 11225, 519, 4464, 18640, 540, 938, 3060, 269, 898, 3217, 606, 3403, 21723, 2387, 343, 319, 543, 10596, 621, 998, 519, 1079, 4628, 4448, 6106, 267, 7311, 519, 1234, 299, 308, 11852, 1599, 1310, 519, 1101, 4494, 543, 519, 2845, 268, 7809, 10946, 1599, 1310, 519, 2034, 4494, 780, 2971, 9751, 519, 22532, 8416, 692, 3086, 602, 649, 723, 3989, 938, 8849, 3060, 267, 649, 666, 1376, 2866, 621, 269, 634, 2866, 1184, 3322, 8023, 938, 3060, 513, 1305, 540, 3403, 13050, 1584, 8424, 267, 1572, 513, 2878, 323, 21648, 564, 1262, 267, 543, 14577, 519, 12035, 543, 12886, 547, 7413, 519, 2530, 1599, 780, 1103, 713, 1383, 267, 649, 786, 946, 519, 30400, 8780, 10471, 267, 799, 5161, 540, 476, 2568, 267, 1822, 1178, 903, 7051, 2592, 540, 1688, 25740, 9704, 267, 1142, 476, 2764, 343, 2764, 19641, 538, 2450, 269, 634, 3804, 568, 547, 5721, 938, 3060, 547, 5431, 519, 7857, 538, 1142, 3239, 563, 3499, 7090, 454, 6339, 815, 4880, 4590, 641, 2529, 31270, 3799, 564, 269, 12407, 4394, 19572, 561, 337, 284, 271, 269, 4905, 994, 299, 1601, 815, 562, 333, 5861, 1484, 22209, 16552, 299, 1601, 4590, 8199, 1103, 713, 3009, 267, 649, 1101, 1711, 606, 3236, 540, 938, 2387, 15187, 319, 1362, 267, 1572, 2387, 6339, 18269, 3973, 267, 649, 1711, 606, 5688, 6500, 1210, 519, 2387, 306, 31270, 319, 1362, 689, 12877, 307, 25403, 267, 799, 28352, 519, 32094, 13506, 16350, 5690, 269, 1284, 1780, 519, 6724, 540, 938, 3060, 547, 519, 5688, 6500, 543, 1305, 519, 1565, 2557, 547, 476, 271, 269, 4905, 780, 9202, 267, 649, 5581, 938, 2530, 1599, 1210, 519, 2387, 15899, 22209, 16552, 299, 1601, 319, 1362, 689, 12877, 307, 25403, 269, 901, 2530, 1599, 568, 4122, 1031, 585, 3818, 11665, 8760, 2042, 267, 971, 607, 7857, 6284, 780, 2971, 28644, 543, 7982, 1189, 31666, 566, 692, 3086, 602, 649, 723, 938, 3060, 543, 5688, 6500, 1305, 909, 267, 649, 666, 1376, 2866, 938, 3060, 269, 634, 2866, 1184, 3322, 1079, 1292, 3268, 281, 4464, 18640, 543, 18807, 18640, 780, 1103, 4464, 18640, 267, 649, 3049, 938, 3060, 513, 16801, 540, 3403, 13050, 1584, 8424, 543, 12337, 519, 3977, 540, 519, 3060, 269, 769, 18807, 18640, 267, 649, 12337, 519, 13506, 540, 519, 2530, 1599, 609, 2463, 547, 519, 12035, 543, 12886, 543, 9337, 873, 1210, 519, 5688, 6500, 563, 3499, 7090, 454, 1721, 22184, 538, 2039, 263, 1015, 2187, 825, 585, 1535, 318, 267, 586, 318, 538, 5721, 318, 2903, 518, 912, 1038, 1535, 318, 815, 1535, 318, 269, 1613, 8987, 272, 267, 476, 2764, 2608, 476, 2764, 1040, 322, 19085, 4590, 1038, 586, 318, 815, 586, 318, 269, 322, 19085, 4590, 1038, 586, 28177, 815, 2121, 3287, 318, 994, 1038, 2530, 815, 13809, 12169, 28177, 267, 263, 344, 318, 4917, 1038, 1566, 269, 14706, 14682, 2784, 4590, 1038, 2530, 269, 3724, 1189, 4590, 1038, 1566, 14714, 788, 4590, 1038, 2530, 17601, 266, 17342, 29754, 269, 14403, 3890, 2639, 8199, 1103, 713, 3009, 267, 649, 5581, 513, 8520, 602, 12055, 919, 936, 938, 2866, 10471, 585, 476, 1015, 22184, 338, 269, 18738, 519, 8520, 267, 649, 621, 4733, 936, 1142, 16801, 540, 3403, 13050, 1584, 8424, 1210, 513, 2387, 10574, 299, 1933, 518, 319, 1843, 267, 799, 8850, 20362, 519, 536, 10248, 543, 695, 4428, 1782, 540, 519, 1239, 780, 2690, 1142, 16801, 267, 649, 1101, 18534, 1901, 519, 3403, 21723, 2387, 343, 318, 319, 547, 723, 513, 2450, 540, 2387, 8987, 272, 267, 476, 2764, 2608, 476, 2764, 264, 12452, 799, 1166, 3430, 839, 519, 476, 2764, 343, 2764, 2592, 883, 513, 835, 8820, 6152, 540, 2450, 476, 4281, 275, 269, 3973, 267, 649, 1847, 519, 3403, 543, 3977, 9937, 832, 547, 519, 29453, 1210, 519, 2387, 322, 19085, 319, 1505, 780, 9202, 267, 649, 1780, 519, 3403, 21723, 2387, 343, 318, 319, 998, 938, 3060, 1210, 519, 2387, 3453, 319, 1505, 267, 799, 7024, 519, 3977, 21723, 2387, 344, 28177, 18269, 1284, 1287, 12337, 519, 2530, 1210, 938, 2530, 1599, 543, 519, 2666, 5168, 10297, 2387, 344, 318, 27471, 5475, 7384, 519, 2530, 267, 649, 4642, 856, 519, 27080, 540, 519, 12035, 543, 12886, 1210, 519, 2387, 14706, 14682, 2784, 319, 1505, 540, 519, 5688, 6500, 269, 901, 568, 2556, 1317, 519, 27080, 18645, 936, 2789, 18807, 10596, 267, 543, 649, 1616, 547, 1376, 609, 513, 2973, 1793, 622, 585, 1142, 16801, 780, 10190, 267, 649, 12337, 519, 13506, 540, 519, 2530, 609, 2463, 547, 519, 12035, 543, 12886, 1210, 519, 2387, 3724, 1189, 319, 1505, 540, 519, 2530, 21723, 269, 901, 1939, 525, 519, 13506, 540, 519, 2530, 609, 2463, 547, 519, 3977, 540, 519, 3060, 267, 799, 568, 1287, 1394, 335, 1886, 698, 730, 998, 519, 3060, 547, 12337, 519, 13506, 540, 519, 2530, 609, 2463, 547, 519, 12035, 543, 12886, 780, 7661, 267, 649, 9337, 519, 12035, 543, 12886, 1210, 519, 2387, 21163, 319, 1505, 540, 519, 5688, 6500, 267, 799, 10039, 519, 13506, 16350, 9337, 4341, 269, 1284, 849, 1832, 3950, 540, 519, 2866, 2530, 585, 1142, 16801, 1210, 513, 1592, 1572, 2387, 29754, 17601, 27471, 2971, 28518, 519, 22532, 8416, 692, 5475, 2866, 938, 3060, 267, 649, 666, 6218, 922, 2773, 593, 513, 1449, 10471, 269, 901, 3322, 8023, 938, 3060, 513, 1305, 540, 3403, 13050, 1584, 8424, 543, 7384, 519, 6111, 540, 922, 11236, 563, 3499, 7090, 454, 3147, 815, 11713, 29754, 15305, 815, 11713, 6339, 4318, 1998, 4590, 1721, 1535, 318, 267, 586, 318, 538, 1449, 318, 2903, 518, 912, 825, 1535, 318, 815, 1535, 318, 269, 1613, 8987, 272, 267, 476, 2764, 2608, 476, 2764, 1040, 322, 19085, 4590, 825, 586, 318, 815, 586, 318, 269, 322, 19085, 4590, 825, 586, 28177, 815, 2121, 3287, 318, 994, 825, 2530, 815, 13809, 12169, 28177, 267, 263, 344, 318, 4917, 825, 2530, 15305, 266, 17342, 29754, 269, 14403, 3890, 2639, 825, 934, 6834, 1496, 339, 25403, 27769, 10946, 12169, 28177, 267, 272, 264, 2525, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 564, 3287, 318, 994, 2018, 2530, 815, 13809, 12169, 28177, 267, 263, 344, 318, 4917, 2018, 1566, 269, 14706, 14682, 2784, 4590, 2018, 2530, 269, 3724, 1189, 4590, 2018, 1566, 14714, 788, 4590, 2018, 2530, 17601, 266, 17342, 29754, 269, 14403, 3890, 6540, 1038, 934, 815, 11713, 1038, 2530, 15305, 815, 11713, 1038, 2121, 4318, 1998, 4590, 1038, 585, 1535, 318, 267, 586, 318, 538, 1449, 318, 2903, 518, 912, 2018, 1535, 318, 815, 1535, 318, 269, 1613, 8987, 272, 267, 476, 2764, 2608, 476, 2764, 1040, 322, 19085, 4590, 2018, 586, 318, 815, 586, 318, 269, 322, 19085, 4590, 2018, 586, 28177, 815, 2121, 3287, 318, 994, 2018, 2530, 815, 13809, 12169, 28177, 267, 263, 344, 318, 4917, 2018, 2530, 15305, 266, 17342, 29754, 269, 14403, 3890, 2639, 2018, 934, 6834, 1496, 339, 25403, 27769, 10946, 12169, 28177, 267, 272, 264, 2525, 344, 318, 2639, 1038, 934, 815, 23290, 32557, 6025, 25403, 6983, 520, 263, 3147, 1040, 15615, 15405, 1038, 934, 318, 21459, 6910, 263, 3147, 269, 14403, 15405, 1038, 2530, 318, 21459, 6910, 9230, 12639, 32557, 10857, 1601, 17601, 15631, 1015, 281, 25818, 12639, 32557, 10857, 1601, 15305, 21875, 1038, 1820, 4433, 267, 788, 5255, 267, 29754, 269, 14403, 19572, 29754, 318, 21459, 15631, 272, 3910, 3147, 269, 14403, 15405, 1038, 579, 318, 21459, 6910, 18828, 15126, 3799, 564, 273, 314, 271, 4940, 7076, 6983, 30298, 14061, 30956, 778, 14061, 31596, 3890, 11723, 825, 952, 4688, 912, 1038, 1820, 6025, 25403, 27904, 3799, 564, 273, 314, 271, 4940, 7076, 21606, 1262, 273, 4917, 1038, 5286, 4732, 1511, 3488, 32220, 29798, 8276, 333, 626, 5334, 270, 3147, 318, 639, 318, 260, 323, 262, 260, 338, 267, 3147, 318, 21459, 994, 1038, 5286, 4732, 1511, 3488, 32220, 29798, 8276, 333, 626, 5334, 15828, 1601, 318, 639, 318, 260, 323, 262, 260, 338, 267, 29754, 318, 21459, 994, 1038, 5286, 4732, 1511, 3488, 32220, 29798, 8276, 333, 626, 5334, 270, 340, 318, 639, 318, 260, 323, 262, 260, 338, 267, 340, 318, 21459, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 2878, 6637, 476, 274, 269, 272, 281, 26179, 3794, 9476, 518, 1107, 589, 27505, 518, 540, 25839, 4436, 17235, 11470, 4373, 8702, 1394, 547, 938, 3460, 998, 519, 4241, 1158, 540, 4436, 6760, 256, 769, 713, 3184, 267, 649, 3580, 4685, 883, 2413, 543, 8106, 6760, 5708, 676, 3695, 835, 540, 922, 1034, 9565, 5515, 281, 18230, 2278, 26179, 3794, 9476, 518, 630, 6245, 277, 1700, 4350, 279, 1040, 2755, 1010, 2012, 1522, 711, 581, 607, 1134, 1634, 607, 3397, 24048, 2441, 773, 610, 14880, 1230, 534, 667, 1195, 548, 3544, 540, 5125, 543, 16848, 267, 3794, 9476, 619, 960, 814, 2451, 606, 30170, 1665, 593, 1312, 4436, 3332, 543, 519, 3677, 9135, 540, 19792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1591, 267, 649, 666, 2638, 543, 9004, 1022, 2418, 602, 1831, 22522, 609, 519, 14181, 18602, 3652, 269, 901, 4480, 6971, 519, 3406, 2230, 267, 799, 666, 1291, 547, 1713, 2773, 9283, 780, 275, 269, 4790, 571, 842, 31666, 566, 281, 901, 4480, 3322, 11179, 9070, 908, 10148, 2066, 519, 14181, 18602, 7470, 8164, 513, 1007, 1297, 568, 5116, 269, 1635, 21130, 519, 2009, 2418, 585, 6967, 2281, 9935, 267, 649, 666, 2417, 2569, 519, 3406, 2230, 543, 3986, 519, 6061, 1184, 780, 3528, 6220, 891, 5688, 3074, 883, 938, 1394, 10177, 9535, 14181, 18602, 24626, 267, 649, 666, 3648, 2087, 922, 4398, 780, 1012, 10390, 692, 12988, 10177, 9535, 6620, 1683, 513, 3532, 1935, 547, 4194, 1950, 2042, 899, 14181, 18602, 269, 769, 713, 5850, 267, 649, 4121, 875, 547, 4019, 1394, 10177, 9535, 547, 1711, 513, 14181, 18602, 24626, 269, 1284, 849, 8268, 1896, 2553, 547, 11126, 519, 6061, 1184, 267, 16107, 646, 584, 2524, 267, 19280, 267, 4464, 10992, 267, 543, 23061, 18640, 269, 2060, 891, 5688, 3074, 267, 649, 666, 4194, 1256, 519, 1034, 4101, 14181, 18602, 13410, 7561, 780, 9359, 6220, 1394, 10177, 9535, 6620, 883, 707, 5752, 19070, 531, 543, 12260, 519, 1761, 585, 6061, 1585, 2036, 13541, 658, 2042, 780, 8855, 267, 1142, 1394, 10177, 9535, 1966, 949, 723, 922, 2189, 2591, 267, 855, 1620, 519, 4295, 2035, 786, 7668, 596, 547, 1711, 3608, 3435, 538, 707, 8193, 3460, 780, 3086, 267, 979, 6619, 543, 4019, 891, 1394, 10177, 9535, 2553, 547, 4194, 824, 3078, 13410, 538, 519, 5752, 1158, 256, 8414, 8193, 2439, 9616, 281, 7490, 6460, 519, 1657, 19673, 3625, 883, 14103, 593, 707, 1378, 267, 607, 594, 993, 1152, 2111, 547, 1683, 519, 5551, 1543, 3898, 269, 0, 8340, 782, 3427, 5829, 9623, 3728, 609, 519, 1007, 3427, 4149, 24594, 32233, 17072, 692, 898, 568, 4867, 476, 1839, 4455, 476, 1001, 276, 267, 476, 866, 281, 2918, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 1215, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 692, 12041, 24606, 454, 307, 8980, 306, 912, 10048, 4526, 454, 16274, 281, 476, 1321, 4455, 476, 1220, 278, 454, 15803, 281, 476, 14378, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 278, 1496, 271, 3910, 2016, 281, 476, 271, 692, 1692, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 1109, 28784, 21529, 316, 476, 1109, 6349, 7325, 476, 1220, 278, 267, 476, 1691, 281, 1626, 454, 1692, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 2516, 540, 476, 274, 8695, 1142, 286, 630, 763, 1931, 540, 519, 2516, 1281, 711, 2339, 2020, 7336, 534, 725, 1932, 267, 952, 596, 786, 454, 10048, 4526, 454, 16274, 281, 476, 6734, 3057, 476, 1220, 278, 454, 15803, 281, 476, 13932, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1691, 1496, 271, 3910, 2016, 281, 476, 271, 692, 18474, 1588, 568, 1250, 4617, 5544, 855, 713, 5654, 899, 1384, 277, 2698, 1004, 692, 273, 2516, 692, 277, 290, 273, 815, 476, 277, 24425, 275, 256, 273, 256, 815, 630, 277, 265, 276, 265, 275, 256, 19422, 275, 256, 7565, 273, 264, 815, 476, 1789, 270, 273, 815, 476, 1428, 454, 10048, 4526, 454, 16274, 281, 476, 1321, 4455, 476, 1220, 278, 454, 15803, 281, 476, 14378, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 278, 1496, 271, 3910, 2016, 281, 476, 271, 692, 323, 1695, 322, 1905, 5206, 912, 296, 1589, 621, 568, 476, 277, 290, 274, 692, 6546, 781, 1018, 1775, 2219, 1932, 2483, 10048, 4526, 454, 16274, 281, 476, 1321, 4455, 476, 1220, 278, 454, 15803, 281, 476, 14378, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 278, 1496, 271, 3910, 2016, 281, 476, 271, 692, 29151, 568, 630, 277, 290, 274, 8358, 273, 815, 476, 1015, 780, 9989, 4896, 917, 1946, 649, 7941, 676, 1079, 888, 10048, 4526, 454, 16274, 281, 476, 1240, 4455, 476, 1220, 278, 454, 15803, 281, 476, 13199, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 276, 1496, 271, 3910, 2016, 281, 476, 271, 692, 296, 9364, 899, 547, 2847, 633, 713, 2243, 2807, 296, 1932, 1131, 899, 547, 917, 1946, 649, 7941, 676, 476, 273, 780, 12552, 2336, 10048, 4526, 454, 16274, 281, 476, 3066, 7325, 476, 1220, 278, 454, 15803, 281, 476, 9264, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1724, 1496, 271, 3910, 2016, 281, 476, 271, 692, 277, 8695, 269, 17292, 835, 630, 323, 3996, 333, 1405, 2339, 1040, 2991, 596, 4584, 835, 267, 596, 723, 476, 276, 8695, 2451, 689, 799, 596, 723, 547, 4584, 476, 273, 811, 547, 1118, 513, 2319, 540, 476, 274, 269, 1924, 595, 263, 276, 267, 273, 264, 815, 476, 1015, 269, 4495, 519, 1101, 2319, 540, 476, 274, 568, 13603, 267, 596, 2811, 2451, 476, 274, 8695, 543, 1152, 835, 1259, 547, 4584, 595, 263, 274, 267, 274, 1040, 1924, 476, 1015, 265, 272, 284, 476, 1015, 563, 12421, 454, 16274, 281, 476, 2764, 9484, 476, 1220, 278, 454, 15803, 281, 476, 277, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 4131, 972, 581, 544, 333, 3615, 8237, 883, 544, 2516, 540, 562, 3615, 780, 258, 540, 2081, 815, 630, 19282, 264, 8206, 1315, 630, 332, 256, 2608, 630, 333, 256, 8203, 332, 2020, 17798, 476, 277, 256, 1315, 630, 273, 256, 2608, 630, 274, 14386, 9745, 273, 264, 815, 476, 1015, 454, 17445, 528, 454, 16274, 281, 476, 2420, 4119, 476, 1220, 278, 454, 15803, 281, 476, 6872, 273, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1691, 1496, 271, 3910, 2016, 281, 476, 271, 692, 23325, 12704, 5206, 912, 296, 9364, 899, 547, 2847, 633, 713, 2243, 2807, 296, 1932, 1131, 899, 547, 917, 1946, 649, 7941, 676, 476, 273, 780, 12552, 2439, 8310, 4063, 540, 519, 2243, 267, 851, 538, 519, 1612, 520, 4185, 568, 519, 2626, 780, 277, 290, 274, 267, 3947, 1297, 540, 2081, 476, 277, 1004, 666, 581, 6896, 883, 1895, 540, 476, 274, 1004, 563, 325, 4318, 269, 1895, 589, 543, 1895, 645, 10758, 1895, 645, 543, 1895, 589, 267, 799, 568, 476, 736, 538, 2698, 267, 855, 2094, 519, 1931, 540, 2516, 1281, 711, 2339, 1895, 589, 543, 1895, 645, 568, 519, 1482, 607, 1895, 645, 543, 1895, 589, 267, 3976, 649, 723, 547, 1821, 728, 676, 476, 273, 563, 10048, 4526, 454, 16274, 281, 476, 1015, 3967, 476, 1220, 276, 454, 15803, 281, 476, 8287, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 275, 1496, 271, 3910, 2016, 281, 476, 271, 692, 13706, 519, 2013, 609, 476, 277, 8695, 1384, 297, 4141, 267, 3627, 267, 6276, 267, 19375, 267, 4460, 267, 631, 3558, 692, 265, 17292, 476, 274, 8695, 585, 1895, 589, 281, 15608, 267, 3627, 267, 6276, 454, 734, 285, 901, 3762, 476, 274, 8695, 585, 1895, 645, 281, 19375, 267, 4460, 267, 631, 3558, 692, 265, 17292, 476, 274, 8695, 585, 1895, 645, 281, 19375, 267, 4460, 267, 631, 3558, 454, 734, 285, 901, 3762, 476, 274, 8695, 585, 1895, 589, 281, 15608, 267, 3627, 267, 6276, 692, 2171, 1294, 519, 1079, 5079, 2164, 538, 519, 1482, 2516, 910, 713, 4386, 1317, 5542, 540, 519, 1101, 1895, 4956, 1018, 8695, 1131, 581, 538, 519, 2034, 1895, 269, 1924, 3368, 540, 519, 476, 277, 290, 274, 2164, 786, 581, 11604, 2592, 540, 1142, 824, 25341, 7941, 519, 1267, 676, 476, 273, 563, 25938, 1640, 15440, 454, 16274, 281, 476, 2767, 7325, 476, 1220, 277, 454, 15803, 281, 476, 29218, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 278, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 16797, 10395, 5209, 2243, 1862, 1109, 28784, 21529, 316, 476, 1109, 6734, 4239, 476, 1220, 278, 267, 476, 1556, 281, 3451, 454, 680, 16331, 518, 629, 4226, 5206, 912, 1692, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 2516, 540, 476, 274, 8695, 1142, 286, 630, 763, 1931, 540, 519, 2516, 1281, 711, 2339, 2020, 7336, 534, 725, 1932, 267, 952, 596, 786, 692, 1877, 519, 13946, 520, 568, 602, 519, 1931, 540, 519, 2516, 798, 711, 2339, 269, 4475, 621, 568, 3368, 540, 519, 2698, 267, 2094, 649, 1152, 991, 547, 4137, 856, 875, 1082, 2516, 540, 476, 274, 649, 666, 1711, 856, 540, 519, 3670, 267, 855, 2094, 972, 568, 1100, 589, 610, 645, 1895, 267, 972, 568, 1152, 589, 543, 589, 1895, 269, 865, 621, 1058, 1413, 899, 713, 476, 277, 24425, 274, 256, 273, 256, 274, 2336, 25938, 1640, 15440, 454, 16274, 281, 476, 2767, 7325, 476, 1220, 277, 454, 15803, 281, 476, 29218, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 278, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 16797, 10395, 5209, 2243, 1862, 1109, 28784, 21529, 316, 476, 1109, 6734, 4239, 476, 1220, 278, 267, 476, 1556, 281, 5379, 454, 680, 16331, 518, 629, 4226, 5206, 912, 1692, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 2516, 540, 476, 274, 8695, 1142, 286, 630, 763, 1931, 540, 519, 2516, 1281, 711, 2339, 2020, 7336, 534, 725, 1932, 267, 952, 596, 786, 692, 1877, 519, 13946, 520, 568, 602, 519, 1931, 540, 519, 2516, 798, 711, 2339, 269, 4475, 621, 568, 3368, 540, 519, 2698, 267, 2094, 649, 1152, 991, 547, 4137, 856, 875, 1082, 2516, 540, 476, 274, 649, 666, 1711, 856, 540, 519, 3670, 267, 855, 2094, 972, 568, 1100, 589, 610, 645, 1895, 267, 972, 568, 1152, 589, 543, 589, 1895, 269, 865, 621, 1058, 1413, 899, 713, 476, 277, 24425, 274, 256, 273, 256, 274, 2336, 3725, 281, 16797, 10395, 5209, 2243, 1862, 5231, 1496, 258, 21529, 316, 476, 6734, 4239, 476, 1220, 278, 267, 476, 1556, 281, 5379, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 277, 1215, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 476, 1626, 476, 6187, 9484, 476, 1001, 272, 267, 476, 5400, 281, 3374, 454, 277, 1215, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 476, 277, 476, 1839, 8734, 476, 1001, 271, 267, 476, 1626, 281, 6187, 454, 274, 1215, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 476, 277, 476, 2767, 9484, 476, 1001, 271, 267, 476, 1724, 281, 1428, 454, 1692, 1082, 2081, 616, 972, 547, 8237, 513, 1895, 540, 476, 277, 8695, 883, 1079, 476, 280, 476, 2918, 4119, 476, 1220, 279, 267, 476, 6021, 281, 736, 454, 1692, 1082, 2081, 616, 972, 547, 8237, 476, 279, 8695, 883, 476, 275, 2516, 540, 476, 274, 476, 272, 476, 4905, 8734, 476, 1220, 278, 267, 476, 6187, 281, 5379, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 272, 269, 3848, 476, 272, 4147, 476, 1556, 30498, 454, 273, 269, 5395, 658, 1931, 8797, 454, 274, 269, 16700, 3250, 10389, 692, 9558, 5296, 692, 300, 4593, 476, 280, 4635, 3601, 540, 5036, 1397, 602, 589, 3980, 359, 630, 288, 3980, 358, 645, 264, 815, 589, 769, 4650, 547, 6961, 589, 3980, 359, 630, 288, 3980, 358, 645, 264, 815, 589, 267, 649, 1058, 6961, 589, 3980, 359, 630, 288, 3980, 358, 645, 264, 568, 513, 15410, 540, 589, 1775, 4318, 269, 589, 3980, 359, 630, 288, 3980, 358, 645, 264, 2340, 488, 480, 589, 1299, 589, 568, 513, 15410, 540, 589, 3980, 359, 630, 288, 3980, 358, 645, 264, 1775, 4318, 269, 589, 2340, 488, 480, 589, 3980, 359, 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 ]
[ 0, 20124, 1805, 800, 476, 274, 543, 28414, 631, 6033, 11819, 4967, 281, 522, 5623, 989, 31789, 522, 5623, 1543, 540, 1688, 8083, 522, 5623, 9751, 17835, 593, 966, 5397, 610, 723, 3732, 3280, 267, 4605, 543, 3381, 6119, 538, 5094, 32766, 522, 5620, 2890, 10746, 610, 9843, 1115, 547, 946, 585, 10916, 522, 5192, 32538, 547, 960, 538, 28414, 631, 6033, 286, 3397, 12629, 281, 4303, 476, 272, 13823, 2388, 543, 10950, 547, 19162, 256, 3509, 540, 938, 1053, 616, 3308, 6267, 269, 1215, 666, 649, 1655, 946, 519, 1007, 1199, 5362, 540, 2221, 547, 4001, 286, 1215, 666, 1053, 946, 519, 2645, 547, 1451, 286, 1215, 666, 621, 18663, 1053, 547, 2328, 286, 10439, 4804, 666, 849, 581, 1572, 7913, 27884, 630, 25402, 693, 21768, 267, 2638, 719, 741, 3896, 28069, 264, 16071, 543, 3381, 281, 1107, 732, 4977, 11269, 1107, 19651, 1004, 267, 4025, 267, 2621, 267, 1919, 1107, 19651, 1469, 267, 2681, 267, 9403, 1107, 22056, 6278, 267, 8404, 543, 10182, 1107, 4754, 1331, 32538, 543, 4992, 1107, 4754, 581, 5186, 5529, 267, 12995, 610, 8476, 3367, 519, 1739, 281, 4208, 946, 10439, 4804, 286, 630, 8518, 719, 264, 769, 1507, 2516, 2097, 909, 609, 513, 1592, 540, 519, 2947, 1655, 4128, 547, 946, 2923, 609, 707, 1053, 630, 25585, 946, 3308, 1565, 286, 8866, 685, 1106, 540, 1565, 543, 1617, 527, 27965, 264, 7348, 606, 1383, 2859, 6201, 7348, 811, 2875, 1806, 630, 32086, 17835, 264, 17564, 593, 7422, 282, 2318, 543, 2152, 547, 4585, 585, 538, 707, 1362, 1215, 616, 13662, 274, 543, 28414, 631, 6033, 1114, 286, 630, 21652, 719, 264, 7433, 1740, 1299, 16505, 5623, 3853, 543, 6780, 4170, 17421, 9452, 6368, 267, 666, 4647, 693, 1753, 282, 1390, 948, 10624, 267, 979, 547, 3169, 1858, 5901, 538, 835, 17835, 630, 4754, 798, 593, 7746, 264, 8073, 14724, 2048, 32143, 685, 609, 1383, 5961, 268, 8073, 513, 2241, 3364, 1101, 547, 1397, 8897, 267, 1287, 786, 979, 1394, 543, 13861, 2507, 16766, 5961, 538, 32766, 585, 2653, 1104, 282, 14956, 2287, 3301, 7383, 532, 543, 25786, 5961, 2776, 1613, 30540, 267, 9494, 267, 9494, 256, 630, 2889, 915, 1299, 7260, 264, 6499, 547, 4688, 547, 2182, 5397, 630, 3240, 3381, 264, 19584, 256, 2560, 3690, 1431, 267, 3350, 267, 12557, 782, 13128, 269, 14424, 547, 26076, 538, 6988, 256, 4635, 707, 1378, 5961, 1631, 630, 14386, 17972, 630, 17647, 782, 593, 1688, 8083, 2567, 14956, 2287, 3301, 7383, 532, 543, 25786, 5961, 630, 323, 4048, 543, 6749, 264, 1847, 267, 17967, 270, 4148, 760, 267, 7693, 267, 2699, 31378, 1689, 7306, 543, 5924, 1118, 7833, 17179, 3109, 10665, 711, 2141, 3811, 267, 786, 798, 513, 7693, 547, 519, 4605, 269, 17252, 3633, 547, 4688, 1142, 4605, 25767, 9706, 4292, 5961, 689, 4609, 268, 991, 547, 581, 536, 5404, 610, 795, 701, 7714, 269, 17006, 25315, 956, 593, 513, 4605, 1152, 256, 4024, 946, 5862, 1982, 2663, 2221, 2507, 17006, 6356, 630, 928, 539, 286, 9320, 585, 30181, 267, 1974, 4773, 264, 14675, 281, 1079, 6106, 15881, 566, 281, 4967, 543, 10916, 8535, 1765, 31296, 4320, 1377, 585, 4282, 270, 2254, 3382, 909, 5639, 952, 946, 32538, 269, 835, 4494, 267, 666, 13861, 3259, 1152, 676, 4946, 824, 2575, 269, 2667, 6979, 1616, 782, 2507, 12861, 1369, 1982, 7383, 532, 6119, 630, 16443, 545, 5542, 568, 544, 335, 274, 267, 530, 822, 543, 530, 2742, 12043, 1152, 267, 1100, 1483, 8301, 267, 621, 12584, 267, 3092, 14386, 9406, 4945, 267, 4688, 3077, 607, 2507, 681, 6235, 689, 513, 7131, 11426, 1944, 7763, 687, 281, 7763, 687, 1299, 667, 15342, 543, 3690, 1431, 1700, 946, 29601, 256, 7033, 532, 1934, 1932, 269, 17252, 3633, 547, 4688, 1142, 4605, 256, 6258, 811, 16181, 7790, 11631, 16514, 7406, 4203, 2231, 24069, 607, 1039, 1919, 269, 30540, 607, 7260, 3758, 281, 875, 786, 519, 1788, 581, 1031, 270, 1613, 539, 286, 16440, 5288, 12744, 256, 10866, 5468, 2638, 700, 4875, 950, 29869, 21128, 10572, 960, 543, 2055, 14645, 630, 325, 1515, 946, 1932, 264, 8249, 585, 707, 3785, 281, 5961, 1299, 4992, 593, 1899, 13419, 1005, 3785, 585, 1053, 281, 16294, 267, 32341, 267, 23227, 622, 630, 514, 11079, 6268, 264, 14313, 538, 1985, 3268, 24484, 1982, 585, 4282, 1412, 16435, 1938, 262, 2107, 1732, 267, 946, 26076, 547, 1711, 543, 14408, 12717, 6789, 547, 1547, 329, 1186, 269, 4024, 798, 1142, 13472, 14350, 269, 14840, 998, 17021, 1927, 256, 4303, 476, 273, 20212, 20460, 1243, 5269, 2386, 782, 3688, 267, 4992, 267, 3092, 616, 6854, 593, 2182, 5397, 610, 6529, 267, 15409, 2182, 5397, 267, 3092, 269, 2052, 6336, 918, 1712, 330, 630, 24047, 4773, 540, 3381, 269, 4746, 267, 1982, 2115, 547, 917, 543, 12398, 1142, 6221, 269, 898, 568, 711, 32750, 3381, 4882, 895, 883, 1788, 269, 8058, 2182, 5397, 7687, 2353, 3292, 4849, 713, 835, 6806, 256, 15531, 3381, 268, 8281, 532, 2136, 20837, 532, 1196, 3386, 3381, 24056, 1413, 585, 2048, 539, 527, 685, 24069, 7383, 532, 11473, 1299, 24436, 268, 4635, 2136, 20837, 532, 547, 782, 723, 930, 1455, 3381, 547, 960, 609, 3239, 270, 743, 760, 1148, 8021, 849, 630, 8974, 4804, 2645, 264, 1290, 525, 538, 607, 513, 4015, 4015, 7735, 1532, 330, 547, 4247, 7735, 1299, 6749, 1524, 10624, 630, 6716, 9318, 4062, 268, 3142, 538, 835, 3381, 267, 8749, 543, 6749, 1318, 2476, 267, 3142, 538, 1985, 264, 14825, 5597, 10943, 1080, 1141, 621, 30397, 513, 6429, 1689, 26888, 616, 711, 513, 1788, 256, 11711, 267, 16544, 585, 4670, 5491, 5137, 14825, 990, 773, 630, 8518, 719, 264, 18786, 513, 1788, 1210, 9452, 4580, 7348, 630, 32143, 1490, 323, 270, 15415, 2070, 7735, 1175, 1657, 1650, 1962, 323, 3296, 540, 5496, 264, 28463, 543, 29100, 2558, 574, 3381, 630, 7093, 1613, 6885, 264, 4746, 267, 946, 1394, 543, 8521, 16181, 972, 547, 2990, 543, 979, 547, 1849, 760, 267, 16013, 585, 1373, 267, 1439, 269, 1677, 8237, 24056, 267, 2990, 543, 1287, 4945, 593, 8237, 7735, 593, 5377, 1318, 540, 12744, 6885, 269, 30540, 3785, 256, 4518, 593, 10434, 20000, 267, 4688, 1788, 267, 521, 526, 6119, 267, 3092, 1141, 28414, 631, 6033, 26770, 547, 1294, 873, 256, 16440, 7260, 950, 2944, 269, 2776, 1613, 2394, 1287, 269, 7033, 5202, 7348, 2173, 648, 3877, 2139, 268, 630, 26668, 13475, 264, 670, 1478, 593, 1022, 17157, 267, 3381, 267, 8301, 267, 3092, 267, 2982, 8653, 269, 594, 4621, 1397, 2360, 17972, 281, 3690, 1431, 25315, 956, 1299, 28946, 1080, 281, 1323, 11582, 543, 13910, 2824, 17157, 1101, 267, 610, 1100, 17157, 267, 1175, 1281, 513, 5094, 2140, 267, 3109, 610, 2507, 7392, 540, 1323, 11582, 8060, 875, 1082, 3515, 540, 1257, 630, 9230, 8749, 547, 2140, 6772, 599, 3950, 547, 723, 593, 4670, 4297, 12186, 268, 849, 28201, 538, 610, 856, 267, 1178, 903, 7051, 269, 2052, 16937, 24056, 14675, 1107, 1079, 13475, 8535, 6119, 1586, 267, 1152, 530, 822, 338, 267, 544, 335, 274, 543, 530, 5733, 15881, 566, 17186, 532, 11721, 8172, 270, 14179, 2541, 8060, 268, 521, 526, 2360, 616, 1614, 268, 5590, 8301, 1377, 7735, 593, 5377, 8060, 630, 25270, 540, 7260, 5288, 2575, 476, 274, 2360, 281, 1318, 4945, 547, 544, 1393, 267, 28201, 538, 610, 856, 269, 667, 15342, 540, 3688, 281, 13088, 267, 18169, 267, 11628, 630, 718, 1305, 519, 1482, 693, 519, 4098, 2507, 5408, 9133, 2630, 4700, 4746, 267, 5468, 1934, 1058, 581, 715, 4811, 290, 630, 292, 2202, 568, 25097, 264, 543, 476, 275, 281, 274, 630, 684, 1652, 7260, 5496, 3898, 264, 1849, 2354, 32386, 281, 562, 19276, 1299, 2312, 16013, 2798, 30540, 12043, 910, 7306, 267, 735, 11306, 18771, 581, 1482, 5468, 607, 7001, 267, 610, 786, 1253, 677, 269, 4688, 547, 24195, 4400, 3901, 585, 7131, 267, 589, 9654, 585, 23861, 8781, 267, 530, 332, 341, 610, 589, 9654, 585, 1964, 9779, 2557, 1058, 581, 1655, 2298, 610, 6474, 824, 5468, 281, 4959, 291, 301, 815, 29577, 267, 3866, 909, 815, 7790, 2052, 1294, 14604, 270, 5913, 9540, 518, 2450, 815, 4130, 5496, 12650, 1005, 3381, 689, 12514, 630, 534, 11530, 5288, 3059, 264, 5468, 267, 715, 4811, 290, 543, 476, 275, 281, 274, 10572, 4518, 5384, 9906, 3785, 281, 9137, 593, 9012, 17402, 19457, 540, 3785, 282, 2196, 998, 17021, 1927, 269, 8921, 17778, 10159, 340, 725, 17785, 281, 1703, 568, 513, 1259, 547, 2110, 523, 519, 5912, 3259, 543, 4605, 23218, 8721, 13156, 3259, 679, 2527, 267, 855, 1152, 1354, 596, 2322, 5961, 543, 13289, 593, 519, 15415, 269, 2052, 3142, 538, 513, 17421, 9452, 3758, 2052, 946, 28414, 631, 6033, 899, 621, 568, 17421, 9452, 476, 274, 282, 946, 5961, 1152, 269, 6904, 568, 4443, 888, 303, 1137, 547, 616, 6456, 585, 454, 257, 20124, 1805, 800, 476, 274, 543, 28414, 631, 6033, 257, 8923, 4647, 547, 2070, 2407, 3561, 0, 30238, 8459, 5821, 12267, 454, 1103, 513, 1353, 602, 3769, 5176, 476, 273, 6634, 4079, 538, 4516, 267, 519, 2557, 540, 11144, 547, 15860, 8459, 5821, 729, 14320, 2362, 1851, 4587, 4079, 563, 16449, 2550, 609, 9793, 547, 4359, 5312, 8459, 2068, 630, 290, 28474, 1070, 15602, 1004, 1995, 2362, 3928, 540, 16349, 2669, 543, 8459, 5821, 267, 543, 789, 946, 6595, 2533, 1454, 811, 1419, 982, 791, 1478, 1639, 9905, 609, 7123, 8027, 563, 288, 4480, 602, 18788, 3606, 13802, 1282, 31533, 1281, 711, 2087, 8459, 5821, 2550, 262, 6668, 610, 2295, 1072, 267, 855, 7920, 5574, 949, 1683, 513, 4324, 563, 5278, 2487, 22423, 2090, 2303, 602, 811, 7928, 646, 7116, 658, 1736, 949, 10804, 8459, 5821, 2550, 262, 2729, 3379, 609, 6671, 31533, 563, 763, 5354, 540, 24310, 18689, 25808, 609, 8459, 5821, 7119, 538, 24310, 781, 3487, 667, 13310, 3075, 3795, 1982, 267, 543, 1034, 540, 891, 4309, 513, 1970, 13867, 13564, 344, 689, 519, 1982, 563, 8253, 782, 2550, 609, 5312, 8459, 2068, 630, 290, 28474, 264, 616, 30758, 585, 8459, 5821, 563, 18455, 13473, 827, 707, 1072, 543, 707, 2126, 3681, 568, 513, 1434, 3364, 563, 268, 513, 1793, 527, 538, 513, 12483, 547, 8963, 2476, 2627, 1216, 543, 2087, 20086, 269, 0, 22068, 6625, 9503, 630, 3451, 533, 923, 994, 303, 923, 1923, 476, 1321, 3057, 267, 476, 1220, 280, 1923, 14358, 281, 476, 275, 4281, 273, 1923, 1341, 274, 11406, 22068, 6625, 9503, 568, 519, 7013, 851, 540, 519, 5842, 12770, 7345, 9351, 538, 8832, 4993, 267, 2136, 2276, 269, 634, 2165, 8385, 5219, 547, 519, 3148, 781, 1804, 1297, 540, 13339, 13863, 3048, 2209, 543, 9755, 267, 855, 5555, 3357, 547, 3277, 547, 782, 519, 1164, 24289, 4213, 538, 519, 1858, 282, 621, 568, 1631, 3622, 1031, 607, 513, 1558, 7716, 585, 519, 1164, 24289, 5823, 269, 6736, 519, 1646, 540, 824, 1164, 24289, 2804, 7740, 2429, 519, 2136, 2276, 267, 28541, 9503, 5170, 547, 581, 519, 3056, 1164, 24289, 13398, 1317, 540, 922, 1804, 1297, 540, 8030, 543, 14679, 3854, 1235, 269, 2983, 25140, 267, 28541, 9503, 13315, 519, 7187, 851, 540, 519, 13244, 27262, 9503, 543, 11105, 2950, 563, 2710, 596, 899, 621, 888, 10387, 841, 713, 3095, 454, 2005, 568, 1175, 835, 540, 519, 5215, 540, 9708, 602, 649, 723, 593, 519, 18729, 322, 578, 2593, 563, 8923, 3643, 938, 1292, 2985, 547, 1294, 824, 1390, 5961, 543, 7044, 256, 0, 21202, 2860, 4929, 5444, 267, 971, 607, 29901, 267, 21560, 1082, 3982, 10408, 3157, 267, 543, 602, 666, 1118, 621, 1360, 2352, 547, 751, 848, 6306, 799, 3283, 616, 519, 1034, 1271, 585, 519, 2860, 547, 3356, 2437, 3081, 4446, 3534, 267, 513, 12200, 8284, 538, 519, 772, 5425, 293, 1979, 17190, 543, 1979, 2684, 12695, 8257, 269, 834, 763, 1883, 547, 938, 2090, 729, 519, 2702, 547, 5352, 3209, 4719, 2645, 547, 26699, 29901, 781, 2962, 593, 3940, 2504, 269, 901, 9727, 875, 1898, 713, 1184, 568, 585, 2860, 5250, 4799, 2414, 1449, 2436, 3940, 2504, 13251, 676, 29901, 5129, 513, 1909, 538, 2860, 267, 519, 772, 5425, 293, 268, 3366, 2319, 16220, 18084, 1079, 2010, 540, 8983, 281, 835, 602, 729, 2860, 17376, 821, 543, 21467, 343, 335, 5962, 519, 29901, 32346, 10942, 543, 835, 602, 729, 9241, 22041, 547, 2539, 3940, 2504, 269, 634, 1007, 3444, 540, 8983, 22234, 711, 1152, 519, 1134, 8153, 16160, 29901, 7592, 267, 855, 849, 606, 8476, 2702, 547, 14927, 1524, 3940, 2504, 563, 1103, 891, 8983, 267, 519, 1964, 11712, 3940, 2504, 17468, 547, 2282, 5991, 5436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10858, 3564, 519, 3817, 540, 2835, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23458, 607, 513, 1106, 540, 2247, 1852, 538, 476, 2735, 275, 543, 4858, 557, 1715, 2622, 4014, 835, 1412, 338, 2856, 540, 7780, 26508, 1143, 568, 2189, 547, 835, 779, 4978, 267, 519, 9135, 540, 7780, 26508, 543, 29325, 17380, 1014, 5708, 568, 4122, 8214, 1194, 538, 9089, 267, 689, 799, 519, 4589, 6655, 519, 2856, 540, 513, 1244, 571, 1386, 2486, 998, 24223, 11375, 636, 2033, 4162, 799, 1131, 581, 2938, 30849, 547, 1022, 1158, 12504, 269, 769, 4858, 557, 1715, 2622, 676, 25548, 748, 670, 5060, 2917, 267, 543, 476, 2735, 275, 676, 6723, 2107, 6202, 4589, 1711, 28112, 2335, 673, 6608, 3743, 585, 513, 1305, 540, 1289, 748, 3527, 971, 607, 519, 16701, 1709, 540, 5191, 540, 4633, 543, 20748, 1852, 936, 741, 2551, 779, 6497, 1275, 269, 1452, 4636, 4777, 902, 616, 6913, 998, 519, 3498, 540, 2409, 602, 8078, 622, 1004, 547, 957, 607, 6191, 267, 971, 607, 519, 740, 11044, 538, 4858, 557, 1715, 2622, 543, 519, 6388, 540, 519, 5240, 701, 752, 8675, 538, 476, 2735, 275, 269, 1306, 2107, 6202, 5932, 519, 18591, 540, 5168, 607, 513, 1797, 547, 6542, 519, 3668, 540, 20748, 5191, 538, 5836, 807, 267, 670, 5060, 2917, 11828, 519, 1523, 540, 2622, 2552, 2651, 619, 543, 519, 946, 540, 590, 6865, 288, 607, 608, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13707, 9107, 29325, 17380, 807, 257, 607, 851, 540, 834, 11227, 1315, 29325, 17380, 1014, 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 ]
[ 11248, 269, 17261, 1149, 723, 1044, 1031, 585, 5553, 547, 2061, 1585, 10108, 543, 723, 10710, 6634, 540, 2729, 5001, 17679, 3147, 1149, 616, 5393, 2922, 543, 2500, 693, 7303, 1082, 11763, 3676, 602, 941, 2899, 1455, 538, 1453, 543, 4079, 269, 1280, 1383, 267, 1991, 547, 7839, 31331, 609, 10074, 971, 607, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 630, 12613, 305, 1070, 891, 10108, 3361, 7366, 540, 5215, 6413, 3074, 543, 7972, 1142, 1032, 538, 519, 2136, 2276, 4805, 269, 1717, 267, 1813, 547, 1164, 12674, 3928, 538, 2487, 5756, 267, 2665, 540, 891, 10108, 723, 8519, 676, 811, 982, 476, 4200, 10065, 17261, 1149, 849, 2149, 1996, 513, 1297, 540, 3978, 2943, 28824, 2175, 1519, 546, 13023, 750, 807, 267, 17537, 645, 267, 14866, 1380, 529, 630, 15367, 14563, 11522, 1070, 13969, 25497, 5632, 2068, 630, 6518, 666, 2014, 16415, 1070, 4232, 8785, 630, 6518, 3123, 4049, 13165, 264, 543, 1480, 13099, 650, 558, 8785, 630, 295, 11901, 1040, 1103, 1840, 547, 7863, 2043, 689, 3478, 7210, 609, 1978, 3676, 267, 10074, 849, 948, 2149, 2950, 676, 2810, 23636, 12046, 950, 2614, 1004, 616, 18764, 1996, 513, 1978, 4576, 602, 1256, 1346, 945, 10093, 1406, 1044, 18764, 616, 12691, 547, 1205, 7210, 1317, 972, 568, 1360, 2370, 4960, 585, 873, 547, 581, 6534, 547, 2576, 8876, 519, 3968, 269, 901, 1198, 568, 3226, 1271, 585, 7863, 1004, 945, 3112, 4309, 25750, 1813, 2564, 2175, 971, 607, 11959, 610, 18604, 4761, 1949, 689, 4742, 7783, 609, 14686, 3676, 899, 27330, 610, 546, 13023, 750, 807, 269, 15788, 267, 10074, 616, 606, 17170, 1907, 585, 5329, 2043, 2635, 2429, 741, 2729, 607, 1134, 607, 7863, 3003, 2950, 689, 5906, 11763, 3676, 269, 1358, 1683, 15400, 4027, 693, 5266, 1970, 1942, 3379, 609, 824, 15324, 3800, 971, 607, 11216, 1818, 873, 835, 540, 519, 1034, 1942, 15807, 1072, 7459, 2139, 2221, 269, 0, 6624, 3549, 9621, 968, 6339, 4642, 892, 5434, 547, 2149, 519, 2916, 7048, 593, 1804, 8778, 338, 540, 7733, 543, 865, 10777, 3327, 13726, 1115, 547, 3035, 713, 3804, 563, 4002, 1957, 267, 3327, 13726, 1115, 2408, 547, 3666, 513, 2754, 779, 3327, 5434, 281, 519, 2754, 17188, 547, 2149, 4054, 267, 799, 10110, 3327, 8166, 689, 519, 2011, 269, 634, 2754, 666, 1287, 3409, 519, 3327, 8166, 12842, 607, 606, 15558, 602, 6971, 922, 2121, 2916, 1764, 563, 4913, 267, 938, 1007, 9682, 2079, 8761, 1018, 3173, 723, 16143, 585, 1296, 281, 4104, 13726, 1115, 949, 711, 798, 1454, 585, 519, 2916, 563, 2691, 649, 6743, 693, 9682, 9477, 540, 3327, 2157, 543, 19883, 2534, 538, 4993, 7733, 267, 649, 1336, 602, 3327, 568, 711, 2810, 1022, 811, 693, 519, 1533, 779, 476, 4391, 15558, 1788, 4609, 982, 538, 824, 2127, 267, 543, 19883, 3549, 616, 711, 19883, 1447, 982, 1354, 269, 4586, 763, 4681, 6494, 513, 7168, 1989, 574, 5048, 827, 3646, 547, 1852, 2916, 1689, 267, 543, 789, 1039, 547, 513, 3395, 1592, 540, 4145, 827, 4104, 13726, 1115, 269, 5525, 723, 2907, 3254, 602, 3785, 616, 1419, 936, 30845, 693, 519, 1376, 543, 949, 711, 2063, 607, 1279, 607, 4397, 269, 769, 713, 2013, 267, 649, 1265, 513, 8273, 1966, 281, 513, 3668, 540, 1483, 2916, 4324, 936, 519, 476, 1015, 1296, 540, 519, 1982, 865, 2484, 563, 3719, 649, 849, 1294, 2081, 547, 4194, 519, 1966, 563, 1692, 11206, 12539, 5510, 338, 1115, 4518, 454, 20288, 560, 3327, 13726, 1115, 960, 899, 713, 281, 4054, 1491, 3327, 8166, 689, 519, 2011, 543, 946, 621, 547, 1628, 2527, 267, 3927, 1327, 6362, 3327, 883, 741, 3574, 585, 519, 1272, 540, 519, 3529, 563, 1103, 4993, 267, 2244, 14935, 666, 4309, 3327, 17099, 585, 4509, 3327, 13632, 1657, 513, 5934, 2838, 968, 21353, 5202, 892, 1377, 269, 12059, 18407, 2912, 6002, 948, 2244, 14935, 1491, 11891, 676, 16924, 7893, 513, 3732, 540, 4054, 269, 1924, 2484, 267, 713, 1184, 814, 1152, 3238, 7893, 3327, 2157, 3448, 547, 15977, 543, 814, 711, 3144, 5413, 540, 519, 6932, 9682, 4066, 649, 723, 8268, 563, 20288, 560, 5411, 666, 1287, 6133, 519, 3327, 17099, 547, 4357, 3549, 267, 609, 519, 2856, 602, 789, 723, 6870, 4054, 602, 1131, 6382, 581, 2759, 1524, 269, 1452, 1331, 1804, 3282, 543, 3154, 3549, 602, 946, 13726, 1115, 547, 3035, 909, 547, 476, 279, 260, 540, 741, 1533, 2173, 663, 730, 5434, 20214, 563, 20288, 560, 13726, 1115, 543, 824, 968, 11499, 2916, 3435, 892, 723, 4607, 513, 2603, 540, 3007, 689, 4213, 267, 6608, 543, 1875, 2889, 22327, 267, 1519, 693, 519, 2136, 8315, 2916, 10554, 538, 5437, 476, 1708, 273, 269, 4993, 814, 835, 540, 519, 4102, 3327, 15558, 3292, 538, 519, 1158, 267, 609, 9937, 540, 6634, 540, 9489, 269, 2469, 998, 15558, 3785, 267, 543, 568, 1419, 513, 2203, 585, 824, 2477, 4058, 1007, 15558, 3292, 563, 2005, 568, 2312, 602, 13726, 1115, 1404, 606, 1271, 543, 3395, 1909, 538, 2916, 3609, 267, 689, 519, 1367, 547, 519, 3486, 1377, 269, 769, 938, 6644, 267, 789, 1590, 581, 6462, 676, 519, 1655, 2139, 3621, 1239, 563, 274, 1761, 2042, 454, 5978, 1353, 1031, 9682, 1239, 547, 3950, 3327, 2157, 267, 3529, 7556, 3928, 267, 543, 3529, 2249, 538, 4104, 15558, 3785, 3379, 547, 824, 2147, 7733, 538, 4993, 563, 25823, 749, 2572, 1683, 513, 811, 2347, 2594, 982, 2361, 5359, 6394, 1282, 15558, 3785, 269, 901, 814, 4847, 721, 547, 2708, 782, 540, 4993, 2094, 476, 2735, 277, 563, 5804, 713, 7650, 267, 649, 723, 4857, 1614, 2152, 10834, 513, 3668, 540, 2916, 2640, 912, 27793, 568, 711, 1373, 3773, 547, 891, 3785, 5488, 982, 1354, 519, 3785, 3323, 610, 5488, 982, 538, 796, 4818, 839, 730, 2127, 563, 6624, 3785, 616, 11262, 543, 13234, 676, 1804, 26216, 3549, 267, 799, 4383, 547, 2743, 15558, 4170, 676, 5329, 3327, 1657, 519, 5934, 15977, 269, 1717, 267, 891, 3338, 723, 1044, 8185, 19122, 543, 3136, 547, 581, 563, 1103, 930, 2127, 267, 3785, 616, 1305, 909, 593, 2244, 609, 1447, 3407, 3529, 2249, 602, 616, 711, 12219, 676, 19883, 269, 1280, 1383, 267, 693, 513, 1804, 19883, 2754, 538, 519, 2699, 6229, 7733, 540, 32720, 4993, 267, 519, 15558, 1788, 2882, 1152, 476, 275, 260, 2699, 6229, 338, 267, 3379, 547, 476, 1839, 260, 2699, 6229, 338, 593, 519, 1964, 540, 519, 2754, 779, 3959, 269, 5502, 267, 519, 15558, 1788, 1858, 568, 936, 326, 3497, 609, 512, 8457, 752, 267, 799, 568, 711, 2344, 762, 16025, 543, 1281, 711, 991, 4027, 689, 19883, 563, 1692, 4993, 2052, 674, 1460, 4706, 5510, 3553, 5358, 454, 5978, 1382, 2798, 547, 513, 1305, 540, 7840, 585, 4993, 547, 2087, 922, 15558, 10873, 563, 3080, 16252, 568, 547, 1376, 1210, 9682, 1239, 547, 6895, 7733, 543, 6166, 602, 789, 616, 8197, 1373, 7307, 547, 2149, 610, 4558, 811, 3327, 269, 1280, 1383, 267, 621, 1223, 948, 4104, 619, 1711, 811, 10853, 1666, 3894, 585, 9236, 13726, 1115, 269, 5398, 569, 2139, 9682, 1239, 568, 5355, 543, 666, 948, 1118, 3327, 15558, 1154, 811, 12001, 543, 6325, 563, 30210, 666, 849, 2057, 4259, 909, 15558, 3785, 593, 2907, 24721, 2244, 269, 1284, 1336, 1896, 3785, 11262, 676, 5726, 2516, 593, 2244, 602, 2907, 1185, 1970, 7556, 3928, 563, 12234, 267, 4993, 1223, 2087, 922, 15558, 4579, 10873, 547, 2327, 602, 2244, 14935, 3112, 1904, 856, 540, 606, 15558, 1982, 538, 519, 2104, 543, 2759, 1524, 1346, 4054, 269, 17497, 972, 568, 513, 15163, 585, 713, 267, 855, 621, 1522, 711, 581, 1164, 2614, 269, 8092, 14935, 949, 581, 2111, 547, 1376, 513, 1788, 267, 4309, 513, 5458, 7443, 689, 519, 3355, 17099, 267, 2759, 1524, 519, 4054, 538, 476, 736, 268, 1789, 1296, 267, 2628, 1055, 741, 17099, 7132, 20507, 267, 543, 2097, 856, 593, 1283, 952, 10637, 20489, 519, 15668, 269, 4586, 27860, 1227, 267, 1247, 5497, 547, 11574, 2916, 1689, 267, 4104, 13726, 1115, 616, 849, 7925, 547, 621, 1107, 2523, 538, 30481, 17376, 821, 4993, 269, 3194, 5267, 602, 4993, 14407, 569, 19765, 23660, 2916, 4220, 585, 4104, 15558, 3785, 538, 519, 1533, 563, 13750, 7014, 3340, 602, 1152, 476, 273, 260, 610, 476, 275, 260, 540, 3327, 17099, 581, 1305, 11735, 538, 513, 30481, 6142, 7535, 267, 1256, 1498, 1896, 3785, 723, 1044, 8697, 676, 519, 2487, 11642, 269, 1879, 23967, 2049, 267, 519, 4503, 3327, 666, 581, 3144, 883, 2272, 676, 519, 6142, 7535, 269, 1717, 267, 519, 16935, 1223, 4166, 1831, 30701, 607, 519, 1858, 14616, 12422, 4679, 538, 513, 8337, 2916, 269, 634, 6142, 7535, 1590, 581, 1804, 2614, 547, 3382, 29083, 26221, 267, 23967, 267, 543, 2068, 543, 27134, 28383, 563, 11693, 938, 4681, 593, 519, 2591, 540, 4104, 3327, 15558, 1154, 267, 2519, 593, 824, 3681, 267, 971, 607, 10115, 538, 3859, 543, 18546, 2305, 3785, 538, 1970, 13867, 4683, 2127, 267, 949, 1683, 811, 1942, 15807, 2164, 269, 2073, 6325, 543, 4023, 563, 21413, 9283, 547, 519, 1699, 1062, 267, 649, 1223, 581, 19765, 26305, 938, 2121, 5434, 267, 7700, 547, 519, 12434, 540, 1804, 12520, 1562, 543, 2244, 14935, 267, 543, 16297, 532, 3007, 689, 1483, 5912, 3435, 547, 513, 2973, 1648, 4346, 563, 1607, 2376, 568, 1065, 21242, 689, 634, 22062, 566, 267, 606, 4830, 18758, 3377, 3135, 6131, 547, 4687, 2093, 689, 4081, 4966, 269, 898, 729, 2854, 676, 281, 1744, 2033, 3213, 742, 1752, 267, 715, 14505, 543, 6276, 11969, 3205, 267, 2160, 540, 4993, 267, 7054, 341, 710, 269, 1403, 596, 1336, 621, 4277, 267, 596, 666, 24049, 547, 938, 12353, 20394, 563, 4537, 2033, 3213, 742, 1752, 4607, 2817, 3163, 7690, 23958, 3194, 26665, 23050, 5358, 7616, 585, 1010, 10927, 2090, 693, 17459, 7054, 341, 710, 563, 22832, 11969, 3205, 11392, 7616, 689, 8331, 267, 519, 772, 2529, 269, 4972, 540, 6052, 779, 8433, 540, 3163, 267, 519, 2817, 3163, 7690, 267, 543, 519, 3557, 540, 4993, 21864, 12618, 7027, 563, 258, 25823, 749, 2572, 1948, 323, 25018, 1948, 9418, 1948, 30873, 1948, 17754, 24674, 1948, 344, 8986, 1948, 30210, 1948, 10809, 1948, 21666, 1948, 4752, 3553, 0, 763, 1912, 541, 1047, 525, 2097, 547, 4906, 543, 1449, 13924, 827, 1018, 15584, 1767, 827, 16028, 269, 1358, 941, 3843, 547, 15972, 13924, 269, 4906, 5956, 3571, 2626, 676, 2519, 593, 1018, 15584, 1767, 827, 7365, 1354, 6450, 4157, 532, 741, 2182, 13463, 14975, 1145, 543, 16460, 741, 2243, 563, 763, 6252, 22258, 2272, 540, 713, 2680, 568, 1336, 538, 4460, 476, 1015, 281, 273, 268, 280, 563, 2691, 4906, 729, 538, 519, 3148, 1634, 607, 7225, 20660, 3564, 519, 16888, 267, 7067, 543, 1373, 4553, 676, 1804, 24921, 267, 930, 1912, 541, 1047, 525, 3357, 547, 1449, 13924, 269, 4256, 1449, 7255, 519, 1888, 540, 16028, 267, 543, 4061, 519, 1888, 540, 7365, 269, 4906, 1185, 5892, 6026, 827, 1312, 3584, 269, 634, 1912, 541, 1047, 525, 941, 2693, 693, 2547, 13148, 3222, 540, 1018, 1261, 1185, 5892, 1767, 563, 1103, 519, 590, 1069, 517, 593, 519, 6778, 267, 4906, 6026, 602, 519, 1152, 11807, 12406, 585, 32682, 1424, 835, 779, 7385, 729, 4652, 28216, 6888, 269, 1656, 1256, 1287, 267, 513, 812, 1590, 2285, 1200, 513, 15149, 540, 16028, 865, 602, 1352, 666, 16155, 1121, 14019, 952, 1352, 666, 1265, 513, 9393, 563, 17606, 729, 1767, 267, 2048, 8005, 1197, 15920, 1010, 7385, 2476, 267, 1577, 1864, 2285, 1200, 513, 15149, 540, 16028, 685, 282, 855, 594, 2161, 547, 596, 602, 3025, 945, 32682, 806, 1010, 7385, 267, 4849, 585, 519, 2601, 540, 17946, 770, 640, 267, 2306, 1200, 3479, 13277, 6670, 282, 543, 945, 1197, 544, 1551, 625, 513, 32682, 1027, 4807, 862, 1080, 13277, 6670, 3034, 4002, 1776, 8317, 4906, 4547, 909, 519, 1888, 540, 16028, 1282, 513, 6450, 8123, 547, 519, 1912, 541, 1047, 525, 269, 1261, 7654, 1705, 865, 1317, 930, 1912, 541, 1047, 525, 949, 723, 1044, 11488, 741, 24726, 2476, 8164, 789, 1336, 513, 811, 14909, 4807, 610, 8057, 649, 776, 540, 741, 24726, 269, 2334, 1131, 1611, 789, 1185, 1336, 513, 3138, 2684, 1961, 602, 4847, 873, 547, 2661, 609, 607, 1082, 2021, 607, 789, 4941, 547, 543, 21271, 519, 3020, 2495, 540, 7365, 269, 901, 568, 18505, 1042, 538, 519, 1739, 8574, 689, 19279, 779, 22258, 912, 2108, 3086, 519, 1912, 541, 1047, 525, 267, 945, 941, 18798, 540, 2724, 267, 941, 6947, 547, 782, 891, 1919, 543, 941, 1085, 4752, 532, 693, 13924 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22340, 607, 1346, 7768, 28025, 610, 3648, 540, 6211, 5820, 1107, 7791, 2030, 267, 3662, 267, 7286, 610, 26216, 2326, 269, 634, 1007, 6003, 6920, 602, 519, 1587, 814, 1044, 14468, 547, 2743, 22340, 4441, 585, 513, 11311, 2179, 540, 1979, 984, 1078, 1543, 563, 11749, 573, 585, 946, 609, 2123, 1416, 2472, 267, 971, 607, 9067, 543, 1688, 1416, 267, 607, 1134, 607, 7622, 7738, 2472, 543, 4070, 2326, 267, 519, 20446, 568, 4397, 547, 5734, 10685, 21684, 1369, 519, 1101, 3368, 540, 476, 1001, 272, 563, 1103, 1931, 547, 20618, 585, 519, 20446, 267, 519, 1587, 1590, 723, 1979, 984, 1078, 1543, 1657, 513, 1305, 12939, 540, 476, 1839, 260, 585, 519, 5354, 540, 8737, 2472, 269, 1717, 267, 519, 22340, 814, 7150, 602, 519, 12939, 568, 1641, 547, 1689, 563, 4415, 519, 10131, 540, 519, 22340, 1979, 984, 1078, 1587, 6003, 267, 519, 12713, 7093, 31084, 1982, 568, 1631, 16922, 540, 1079, 2694, 281, 513, 1979, 984, 1078, 1587, 27147, 13283, 1982, 585, 8549, 8041, 267, 543, 513, 17319, 21458, 11036, 585, 519, 3376, 8397, 6725, 540, 1979, 984, 1078, 2472, 269, 634, 1982, 786, 960, 547, 3895, 519, 2799, 9042, 543, 946, 540, 891, 2472, 538, 519, 5010, 2344, 543, 585, 6800, 563, 7437, 6388, 540, 519, 12713, 7093, 31084, 1982, 267, 22340, 814, 2907, 11280, 5111, 476, 276, 267, 1911, 1979, 984, 1078, 2472, 585, 9053, 11449, 676, 8549, 8041, 269, 634, 1007, 6003, 786, 1118, 8446, 540, 891, 2472, 4443, 585, 8549, 18046, 267, 543, 786, 2333, 4656, 540, 891, 1164, 17032, 2472, 538, 824, 6990, 269, 22340, 9193, 602, 972, 616, 476, 736, 267, 1822, 1979, 984, 1078, 2472, 4867, 1373, 14475, 538, 519, 2136, 2276, 543, 602, 519, 3395, 2872, 607, 513, 2898, 568, 3743, 585, 936, 476, 1911, 267, 1822, 6009, 563, 2414, 1294, 606, 1383, 540, 22340, 779, 1007, 12713, 7093, 31084, 1587, 6003, 267, 3643, 8940, 269, 6798, 641, 516, 31084, 2593, 269, 0, 763, 20279, 18763, 3427, 10588, 630, 295, 3041, 291, 264, 11540, 6404, 2164, 593, 519, 5767, 13387, 1449, 2164, 269, 4340, 547, 513, 8664, 2046, 5305, 267, 670, 3041, 291, 22157, 547, 1397, 811, 9283, 593, 519, 2979, 6810, 540, 519, 3557, 540, 7147, 10495, 540, 14288, 3367, 1465, 630, 4306, 288, 2752, 264, 1449, 267, 3226, 585, 9344, 476, 274, 998, 476, 279, 563, 306, 13990, 593, 519, 2979, 4879, 2799, 538, 9344, 476, 274, 267, 476, 276, 267, 277, 543, 476, 278, 1063, 519, 476, 1001, 274, 543, 476, 1001, 275, 1247, 789, 17379, 538, 3446, 476, 279, 543, 7283, 6366, 538, 3446, 476, 275, 269, 7335, 8464, 17379, 538, 9344, 476, 274, 267, 476, 276, 267, 476, 278, 267, 543, 476, 279, 267, 1247, 789, 2799, 538, 9344, 476, 275, 543, 3670, 563, 8368, 476, 272, 2982, 519, 6151, 8574, 3928, 585, 1142, 1032, 543, 3446, 1377, 563, 347, 8368, 476, 272, 281, 670, 3041, 291, 5254, 288, 2752, 8574, 3928, 630, 25899, 670, 3041, 291, 10245, 2304, 4244, 1259, 547, 5659, 519, 2164, 568, 676, 9477, 16649, 2176, 630, 338, 877, 9344, 264, 2066, 942, 269, 5502, 540, 7487, 875, 513, 2016, 3446, 15824, 1142, 1032, 267, 649, 666, 1246, 16649, 2176, 2066, 9344, 547, 4983, 519, 8574, 2557, 563, 1607, 1935, 2982, 513, 811, 2318, 1650, 585, 670, 3041, 291, 269, 769, 2979, 267, 519, 476, 1001, 274, 8772, 267, 11359, 543, 18749, 17263, 16649, 2176, 11540, 1804, 4679, 538, 8574, 3928, 267, 1247, 519, 15795, 17263, 20165, 11540, 538, 1507, 1079, 15304, 2333, 543, 519, 3791, 17263, 20165, 7283, 6366, 563, 1103, 2542, 267, 519, 476, 1001, 274, 3791, 17263, 543, 11359, 3446, 16649, 2176, 4951, 23229, 538, 8464, 267, 1247, 519, 1614, 824, 16649, 2176, 11540, 1614, 15304, 12374, 563, 4322, 2164, 616, 3254, 538, 7305, 476, 273, 563, 347, 8368, 476, 273, 281, 670, 3041, 291, 5254, 288, 2752, 8574, 3928, 676, 20165, 1032, 2008, 10743, 1590, 1780, 519, 4255, 538, 9344, 476, 276, 543, 476, 279, 547, 3489, 13319, 547, 519, 1985, 3446, 563, 763, 20279, 20048, 1834, 7074, 602, 670, 3041, 291, 8574, 3928, 941, 3648, 2630, 8574, 3928, 540, 16918, 28180, 13102, 267, 1498, 1312, 5036, 540, 13102, 4553, 2147, 24551, 563, 763, 14829, 2127, 799, 670, 3041, 291, 6227, 723, 513, 1126, 6710, 2557, 5595, 547, 17784, 1346, 540, 922, 28180, 13413, 269, 4475, 267, 519, 29373, 538, 1449, 8464, 568, 2693, 2799, 676, 513, 3152, 2671, 540, 1453, 689, 5763, 1512, 3885, 11504, 4357, 1153, 1369, 519, 670, 3041, 291, 8664, 6302, 269, 0, 2005, 779, 4686, 547, 1265, 1945, 5963, 4686, 543, 5863, 538, 2564, 3332, 269, 1809, 519, 2856, 602, 3173, 1223, 13003, 513, 512, 611, 335, 1961, 12566, 531, 14189, 543, 723, 621, 2490, 883, 513, 3339, 3750, 12523, 607, 835, 540, 519, 9642, 652, 1919, 594, 4076, 1224, 5063, 269, 17006, 12192, 589, 5280, 621, 1332, 267, 855, 519, 2856, 602, 513, 14189, 1223, 1831, 606, 3750, 4252, 568, 7168, 29737, 269, 630, 5415, 1934, 1916, 2691, 596, 1413, 20991, 267, 519, 12566, 531, 14189, 568, 3743, 585, 2870, 606, 6418, 11733, 538, 519, 9000, 540, 1769, 269, 2334, 2306, 621, 3743, 585, 519, 2596, 18819, 540, 938, 2729, 267, 1519, 938, 4761, 6114, 269, 3502, 3983, 585, 513, 2370, 14189, 602, 1185, 7168, 1454, 1044, 2854, 1055, 607, 10071, 531, 269, 0, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 4462, 8971, 1540, 1257, 12744, 281, 1403, 1945, 4422, 4636, 267, 1847, 7178, 1635, 476, 6245, 271, 338, 267, 1292, 2707, 540, 6694, 13889, 2859, 540, 513, 1966, 982, 519, 3070, 476, 6942, 278, 681, 305, 5254, 6020, 17395, 267, 6574, 538, 476, 866, 555, 11416, 630, 17989, 269, 476, 275, 4817, 264, 476, 274, 678, 323, 476, 1015, 2600, 13230, 2759, 476, 273, 270, 274, 540, 16456, 338, 9505, 1524, 676, 16716, 476, 3199, 267, 1822, 16456, 4600, 3238, 29016, 17740, 3554, 523, 17991, 883, 513, 15624, 11318, 476, 736, 1004, 4259, 1919, 1055, 1256, 811, 522, 18366, 5205, 5929, 4806, 1419, 7368, 538, 3735, 476, 866, 555, 11416, 522, 6554, 1909, 281, 967, 27075, 610, 20935, 547, 4074, 17813, 9534, 281, 12049, 20143, 30463, 1459, 855, 12790, 267, 476, 6942, 277, 522, 6641, 24840, 540, 24813, 267, 19394, 2990, 540, 17051, 522, 2859, 10423, 538, 31713, 3465, 267, 30760, 267, 2887, 476, 6942, 277, 2598, 335, 1393, 711, 23125, 856, 2394, 15292, 540, 476, 6507, 3281, 668, 1047, 540, 476, 6942, 278, 522, 2859, 2663, 267, 1224, 669, 777, 269, 476, 1428, 585, 1985, 942, 2483, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 1321, 270, 6187, 270, 1001, 272, 585, 519, 1576, 670, 8780, 476, 11793, 6026, 676, 7905, 8055, 1282, 519, 12096, 1412, 5400, 2165, 693, 7147, 589, 261, 300, 563, 268, 12096, 1412, 5400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1279, 3856, 3347, 780, 13146, 1382, 19156, 519, 2318, 1764, 540, 7679, 28216, 5188, 593, 4227, 14882, 267, 7393, 6568, 267, 543, 14237, 14388, 2950, 630, 293, 3072, 2006, 1696, 620, 1421, 476, 1001, 280, 1040, 1306, 14051, 5170, 5935, 7239, 5001, 267, 30015, 2104, 3401, 609, 1983, 2556, 585, 10188, 3909, 4763, 3587, 14063, 269, 4475, 267, 6220, 6030, 593, 3235, 18210, 1143, 543, 7679, 28216, 5188, 1369, 3909, 2090, 21195, 28382, 1053, 609, 3407, 2645, 585, 2502, 4020, 1947, 609, 1866, 267, 7488, 540, 741, 5132, 2245, 780, 1103, 3932, 267, 3235, 18210, 1143, 543, 7679, 28216, 5188, 2099, 4105, 3344, 540, 2413, 3909, 11407, 269, 1358, 5512, 740, 6254, 338, 540, 3309, 5132, 338, 547, 7753, 7496, 267, 5660, 1455, 8017, 267, 2232, 13103, 267, 543, 12840, 3927, 2509, 1455, 3853, 269, 16871, 713, 1935, 11942, 8902, 3347, 267, 18791, 3540, 2486, 267, 543, 6038, 8309, 547, 513, 811, 8537, 267, 17519, 267, 543, 12560, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24129, 476, 4366, 476, 275, 11586, 454, 12626, 9664, 476, 5729, 476, 1708, 272, 454, 306, 514, 267, 1280, 326, 4369, 267, 543, 26532, 16624, 281, 4168, 543, 7332, 21126, 568, 513, 4015, 540, 3594, 543, 27403, 15102, 454, 11260, 476, 7906, 476, 273, 11586, 3367, 811, 454, 16631, 543, 15215, 568, 513, 2594, 540, 519, 476, 1220, 280, 8490, 20710, 2471, 29519, 267, 513, 5188, 1063, 3056, 4168, 543, 7332, 521, 454, 22446, 476, 3066, 476, 272, 11586, 3367, 811, 454, 6624, 540, 519, 1390, 17024, 543, 15023, 538, 8567, 543, 5771, 3366, 2729, 6825, 676, 2123, 543, 3909, 6560, 269, 1473, 324, 454, 32579, 476, 6812, 476, 272, 11586, 3367, 811, 454, 9824, 16406, 14740, 543, 4317, 7827, 3091, 513, 12550, 543, 2890, 2079, 540, 519, 6384, 540, 4028, 1514, 543, 3909, 11024, 454, 5197, 476, 3393, 476, 272, 11586, 3367, 811, 454, 14549, 640, 281, 31157, 543, 12745, 338, 568, 513, 2594, 540, 519, 476, 1220, 278, 14135, 834, 19465, 20710, 2471, 257, 29519, 267, 606, 5993, 5188, 454, 14530, 476, 9818, 476, 279, 4391, 30641, 3367, 811, 454, 288, 2594, 540, 519, 476, 1001, 276, 8490, 20710, 2471, 12054, 14373, 585, 3056, 4168, 543, 7332, 5640, 267, 713, 4015, 540, 3594, 7518, 454, 26783, 476, 14056, 476, 274, 11586, 3367, 811, 454, 1607, 1433, 12116, 519, 1909, 540, 519, 13099, 2329, 543, 519, 5880, 1228, 538, 519, 3909, 1272, 540, 519, 3735, 1000, 27097, 998, 3735, 19412, 974, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 658, 4084, 543, 29046, 257, 607, 851, 540, 834, 32628, 1315, 8278, 18210, 1143, 1299, 3955, 17304, 603, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 26155, 7723, 2983, 665, 976, 3569, 281, 3465, 6326, 3776, 3047, 781, 7066, 9778, 692, 7072, 692, 2026, 938, 4541, 27372, 267, 865, 1281, 922, 10347, 3666, 540, 8134, 543, 17027, 21272, 269, 7324, 891, 16782, 616, 17576, 18429, 910, 6886, 602, 723, 9676, 1480, 22906, 585, 5553, 1813, 547, 741, 5898, 267, 678, 10846, 267, 543, 10626, 269, 901, 3184, 786, 1445, 593, 519, 2956, 540, 8497, 17576, 7723, 5054, 1369, 6870, 543, 24721, 2127, 1247, 3695, 1585, 3344, 540, 17576, 1108, 267, 5599, 2853, 267, 2825, 5222, 267, 543, 5571, 3646, 2509, 4264, 19642, 269, 1635, 6313, 1483, 8996, 2013, 2090, 543, 8220, 873, 609, 6932, 3466, 538, 3618, 2257, 5726, 267, 596, 786, 2744, 513, 4514, 7071, 585, 891, 10475, 21889, 543, 1174, 875, 789, 3514, 883, 519, 6626, 2796, 540, 2518, 2520, 665, 976, 3569, 7341, 780, 4089, 476, 272, 281, 1323, 11137, 540, 26155, 18429, 692, 2414, 2253, 267, 1577, 721, 2263, 1018, 13054, 513, 17576, 7723, 543, 1451, 827, 1114, 2010, 1336, 538, 2470, 269, 589, 17576, 7723, 568, 9247, 513, 7777, 12627, 602, 15225, 10694, 2681, 267, 9355, 267, 543, 15006, 267, 1818, 621, 5078, 585, 14446, 610, 16560, 5301, 269, 2368, 1455, 17576, 18429, 1331, 19987, 267, 6299, 625, 267, 1094, 653, 327, 2231, 267, 900, 1968, 1091, 267, 543, 1082, 1866, 269, 1452, 10007, 666, 581, 4646, 896, 3309, 2175, 2620, 1369, 519, 3047, 781, 12933, 267, 4611, 538, 2189, 2168, 3601, 543, 23079, 269, 4197, 519, 5169, 267, 5888, 267, 543, 4162, 540, 891, 3407, 6886, 5036, 519, 5748, 585, 7234, 741, 4644, 538, 2474, 540, 2520, 665, 976, 3569, 780, 4089, 476, 273, 281, 14086, 13756, 543, 7025, 28620, 692, 15761, 3555, 540, 17576, 18429, 814, 13840, 1044, 2404, 609, 1713, 2825, 12159, 267, 7226, 9552, 267, 1216, 5533, 267, 543, 14227, 13103, 269, 1306, 971, 267, 3743, 27126, 543, 5683, 5599, 2853, 1590, 1831, 7533, 3334, 540, 1022, 2413, 17576, 7723, 5726, 4640, 269, 769, 713, 3296, 267, 649, 786, 1865, 2757, 543, 4207, 2409, 1031, 547, 9553, 17576, 18429, 267, 7421, 741, 9757, 8733, 29066, 543, 7114, 3255, 585, 6454, 269, 1284, 786, 849, 4983, 3486, 24501, 543, 6042, 6322, 693, 5009, 6940, 538, 519, 2872, 267, 971, 607, 519, 13690, 828, 2917, 6713, 585, 4655, 6954, 19987, 780, 4089, 476, 274, 281, 8865, 5525, 538, 26155, 7723, 2983, 665, 976, 3569, 692, 28274, 7811, 1702, 547, 4052, 3871, 2636, 721, 547, 1732, 9787, 1950, 2152, 4478, 17576, 7723, 5726, 269, 3414, 1896, 27283, 2013, 2090, 267, 649, 786, 8495, 3811, 2994, 6964, 676, 6288, 9946, 267, 3173, 267, 543, 2199, 2950, 547, 8190, 17576, 7723, 9249, 5001, 269, 1280, 3236, 267, 519, 9622, 12245, 12891, 645, 648, 337, 6433, 538, 3345, 3013, 8711, 519, 991, 585, 14942, 5464, 543, 4028, 3210, 950, 12362, 2249, 21279, 5065, 17576, 12074, 269, 11531, 267, 519, 13786, 1043, 4035, 749, 2044, 7027, 5713, 607, 513, 2203, 585, 5698, 1063, 8639, 5275, 547, 7413, 2800, 3361, 676, 3352, 22529, 1043, 5599, 2238, 780, 4089, 476, 275, 281, 7351, 12367, 543, 8892, 19648, 692, 10481, 665, 976, 3569, 5170, 547, 11457, 7258, 8441, 538, 2029, 267, 3609, 6194, 267, 543, 1857, 4656, 269, 1677, 2327, 1279, 3856, 4027, 540, 17576, 7723, 5054, 267, 621, 568, 1898, 547, 3251, 5483, 827, 5969, 12967, 1382, 267, 5499, 4485, 267, 543, 13346, 6848, 2418, 12018, 713, 2361, 269, 769, 713, 3803, 3296, 267, 649, 786, 5659, 2487, 7835, 538, 17576, 7723, 5726, 267, 1519, 7760, 538, 6552, 15392, 543, 22944, 4066, 602, 5351, 538, 11837, 543, 5883, 17866, 8916, 269, 3958, 267, 649, 786, 2015, 1761, 2591, 6619, 267, 971, 607, 2916, 1689, 5222, 593, 17576, 7723, 3892, 3270, 267, 543, 15974, 15164, 3435, 1759, 593, 4540, 1655, 2853, 780, 6962, 692, 3528, 4974, 17576, 7723, 2520, 665, 976, 3569, 1369, 519, 2796, 540, 6626, 1747, 2861, 5726, 3646, 267, 649, 3565, 547, 519, 3395, 1560, 540, 1702, 6131, 547, 17420, 3047, 781, 2189, 543, 13113, 2200, 269, 2060, 6297, 4058, 267, 9316, 1851, 8639, 267, 543, 7029, 547, 30176, 11826, 4441, 267, 972, 3788, 4126, 602, 2104, 5481, 949, 3136, 547, 14952, 693, 519, 26672, 528, 540, 891, 9159, 2067, 13300, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 10225, 19731, 13734, 17072, 20205, 15834, 1344, 543, 1966, 9010, 2553, 2066, 782, 3584, 4143, 547, 519, 1158, 779, 11614, 267, 6870, 2127, 267, 2686, 4609, 267, 543, 824, 3029, 540, 1747, 2861, 5726, 269, 634, 4760, 4564, 782, 2127, 540, 14374, 4143, 547, 1620, 543, 2359, 540, 11614, 267, 6870, 2127, 267, 2686, 4609, 267, 543, 824, 3029, 540, 1747, 2861, 5726, 267, 1519, 855, 711, 3908, 547, 519, 2067, 9443, 267, 2686, 2200, 5829, 10459, 267, 1514, 9443, 267, 543, 15834, 5380, 563, 24127, 476, 4343, 267, 17136, 476, 272, 267, 476, 1708, 273, 454, 6124, 21126, 593, 2983, 665, 976, 3569, 538, 13363, 539, 543, 3117, 5703, 19791, 454, 763, 12286, 6249, 4930, 538, 713, 3390, 540, 13662, 293, 5750, 2487, 7835, 24568, 1312, 3206, 543, 2962, 1765, 517, 2520, 617, 1751, 543, 2520, 334, 615, 5146, 5726, 269, 634, 2520, 665, 976, 3569, 16786, 540, 519, 4139, 5742, 585, 11094, 540, 7186, 630, 296, 30002, 264, 568, 14027, 267, 543, 2520, 665, 976, 3569, 568, 1631, 1134, 3964, 538, 2520, 657, 7220, 5188, 543, 2259, 269, 634, 1985, 1900, 568, 547, 1628, 2390, 713, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 655, 18429, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3163, 1299, 7186, 1315, 3047, 7070, 1315, 32520, 1299, 30200, 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, 5269, 1575, 3203, 3588, 585, 8682, 268, 2750, 16054, 692, 8702, 547, 938, 1576, 782, 827, 17539, 26274, 256, 1411, 1522, 581, 11842, 267, 1018, 1256, 568, 17539, 26274, 286, 4270, 267, 621, 781, 10416, 1210, 1114, 2010, 540, 17539, 2472, 899, 4064, 17495, 578, 267, 9067, 22496, 267, 543, 5748, 547, 1711, 2189, 5654, 543, 2769, 3054, 269, 6056, 540, 621, 899, 7206, 267, 855, 3079, 540, 1210, 5862, 543, 513, 17198, 267, 596, 2811, 1210, 17539, 543, 707, 3068, 2439, 1103, 713, 1576, 267, 649, 786, 2263, 875, 17539, 666, 948, 596, 2769, 945, 596, 616, 543, 707, 5876, 269, 1284, 786, 1451, 827, 1114, 2553, 267, 2645, 267, 543, 2472, 1031, 538, 17539, 26274, 269, 1656, 1810, 1405, 5855, 952, 596, 723, 2760, 12816, 17539, 1354, 910, 713, 1576, 568, 5921, 585, 14987, 609, 1100, 1991, 1995, 269, 1924, 1577, 781, 1205, 3323, 2439, 8893, 476, 272, 281, 4985, 547, 5269, 1575, 3203, 3588, 454, 14343, 692, 5970, 596, 2479, 2938, 2576, 9849, 513, 12050, 2699, 9067, 22496, 610, 10477, 3750, 14692, 543, 2219, 789, 6743, 2731, 3579, 286, 2334, 781, 1317, 17539, 666, 581, 513, 3532, 1907, 585, 1582, 22325, 269, 898, 2636, 721, 547, 4603, 609, 1114, 4778, 267, 6163, 267, 543, 5654, 2394, 649, 1265, 1945, 602, 2306, 721, 1745, 8746, 543, 6126, 780, 3719, 1354, 649, 1376, 4730, 609, 17539, 267, 621, 781, 1271, 547, 1174, 930, 9238, 269, 3689, 267, 972, 616, 1614, 1292, 6688, 540, 17539, 281, 3490, 267, 2681, 267, 543, 561, 10719, 269, 12476, 2882, 2472, 899, 5748, 543, 10703, 29993, 602, 948, 1256, 856, 2960, 3159, 543, 3382, 909, 6926, 332, 8460, 269, 7822, 4016, 547, 1919, 899, 1025, 2313, 267, 11487, 10045, 267, 543, 4064, 17495, 578, 602, 1039, 14246, 267, 3178, 267, 543, 10155, 547, 707, 1413, 269, 6931, 518, 2882, 22442, 10719, 543, 9067, 561, 10719, 267, 799, 5581, 543, 3337, 707, 2934, 780, 9202, 267, 1577, 781, 2911, 827, 2645, 269, 1703, 616, 1082, 1114, 26814, 543, 1972, 2209, 2139, 267, 1142, 2966, 585, 1808, 5301, 269, 1280, 1383, 267, 513, 6366, 11453, 568, 1390, 585, 7311, 5277, 5748, 1247, 513, 2770, 27918, 11453, 1568, 1134, 585, 8869, 269, 1975, 784, 525, 616, 849, 2442, 585, 16471, 543, 2870, 513, 5347, 9096, 780, 7661, 267, 972, 616, 9118, 12478, 543, 1587, 3681, 950, 621, 2501, 547, 17539, 269, 2368, 1004, 4782, 3075, 32697, 12478, 1247, 1866, 10943, 25973, 593, 1164, 15134, 8257, 4558, 30143, 269, 3143, 2339, 1018, 707, 6578, 568, 267, 3314, 602, 2259, 2306, 3501, 269, 5213, 1405, 581, 12922, 547, 2119, 1007, 1919, 543, 1294, 1018, 1568, 1655, 585, 596, 780, 12244, 281, 3194, 7756, 9537, 540, 5269, 1575, 15733, 454, 24801, 21387, 8794, 2835, 267, 17476, 267, 610, 2228, 2200, 267, 1382, 1585, 2010, 540, 17539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 538, 513, 14297, 2749, 1282, 519, 16972, 5736, 267, 5030, 1079, 2828, 3957, 6341, 543, 23183, 269, 1358, 941, 1312, 8049, 3214, 945, 6068, 3695, 741, 10450, 543, 1565, 1007, 1919, 269, 2290, 1554, 267, 1247, 6972, 1753, 689, 1153, 267, 789, 8068, 875, 1454, 741, 2749, 1185, 4957, 1317, 540, 519, 11633, 7169, 269, 1703, 941, 15327, 10876, 267, 14884, 678, 5241, 2250, 267, 543, 1007, 6191, 1818, 782, 12204, 540, 1919, 780, 21579, 4280, 267, 834, 300, 807, 267, 798, 596, 917, 1946, 938, 2749, 814, 4957, 865, 1454, 8119, 23183, 14452, 267, 834, 8133, 267, 594, 1589, 621, 781, 1317, 540, 1945, 1572, 519, 11633, 7169, 1701, 2701, 4797, 267, 834, 2005, 814, 1500, 1082, 1919, 4443, 543, 5488, 267, 899, 2679, 8075, 543, 10707, 1279, 9883, 15323, 2026, 789, 15336, 2417, 267, 789, 4718, 513, 1895, 540, 4600, 3168, 8909, 543, 13110, 269, 6341, 9289, 267, 834, 3963, 616, 1346, 1004, 711, 6126, 1256, 1498, 649, 723, 782, 891, 5863, 18563, 8119, 23183, 1287, 6045, 267, 834, 10214, 1498, 1272, 568, 4443, 1631, 267, 930, 1004, 1869, 3068, 2591, 269, 3509, 960, 1279, 3108, 538, 15327, 543, 1810, 1405, 7118, 2614, 2724, 547, 2661, 20354, 3010, 11900, 18944, 676, 1018, 789, 4121, 267, 6341, 543, 23183, 4956, 547, 2328, 2984, 827, 519, 2729, 540, 12051, 4600, 267, 15691, 547, 6318, 4656, 827, 741, 9620, 269, 4256, 8941, 2968, 1360, 2442, 1851, 519, 3395, 1647, 1362, 267, 945, 10150, 2542, 827, 1114, 5380, 269, 17652, 267, 14786, 543, 17476, 3323, 13629, 2147, 2984, 267, 3056, 547, 513, 22820, 538, 2442, 3332, 780, 4913, 267, 835, 6397, 6335, 5949, 1107, 5103, 519, 1967, 540, 741, 1603, 267, 6341, 543, 23183, 7691, 602, 3274, 10213, 2984, 7012, 1405, 2614, 547, 3142, 1483, 1689, 269, 4014, 789, 695, 821, 513, 1769, 593, 519, 2152, 5185, 676, 519, 2324, 1362, 267, 4890, 9283, 2838, 2962, 3564, 1913, 269, 16480, 267, 741, 1995, 6026, 873, 3407, 4245, 827, 6568, 267, 6043, 267, 543, 519, 1379, 540, 1702, 269, 1656, 865, 267, 1169, 942, 2576, 14509, 513, 9159, 3209, 610, 12139, 2376, 2221, 267, 1577, 721, 3314, 519, 6891, 540, 6602, 543, 1416, 22993, 676, 6341, 543, 23183, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 11633, 7169, 1764, 519, 1646, 540, 3332, 1282, 519, 16972, 5736, 888, 763, 11633, 7169, 1185, 513, 1713, 1764, 593, 519, 1646, 540, 3332, 1282, 519, 16972, 5736, 269, 634, 4838, 4547, 827, 2101, 2242, 538, 6080, 267, 6283, 267, 543, 2029, 267, 799, 1185, 513, 1713, 1764, 593, 1004, 781, 2729, 543, 519, 1259, 789, 2219, 827, 519, 1158, 269, 1452, 2242, 3366, 547, 519, 11944, 540, 1007, 5339, 11964, 267, 4798, 267, 543, 6163, 780, 3080, 540, 519, 1713, 2242, 4547, 827, 676, 519, 11633, 7169, 729, 519, 2208, 540, 519, 1647, 1362, 269, 901, 1362, 540, 1004, 1185, 811, 16837, 942, 543, 25551, 4747, 267, 799, 13087, 873, 547, 1224, 543, 1489, 3332, 269, 901, 3366, 547, 519, 11944, 540, 2442, 3332, 267, 971, 607, 9089, 543, 17476, 267, 602, 524, 23926, 547, 519, 16919, 540, 519, 1647, 1362, 269, 634, 9089, 540, 8176, 28726, 267, 585, 1383, 267, 10630, 519, 1514, 2175, 540, 519, 942, 543, 12006, 519, 9620, 540, 2324, 11665, 1004, 780, 763, 11633, 7169, 849, 3366, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 7524, 2749, 540, 28925, 267, 5030, 1079, 2828, 910, 24883, 543, 12756, 269, 24883, 729, 513, 795, 990, 658, 267, 856, 4707, 7376, 945, 6068, 3695, 519, 2749, 781, 10754, 267, 1247, 12756, 729, 513, 2571, 17898, 7505, 267, 801, 1190, 4807, 13197, 1200, 4487, 781, 4110, 538, 9297, 269, 1358, 1419, 5941, 1585, 3584, 267, 689, 1148, 543, 2528, 547, 6214, 543, 4346, 269, 2290, 1554, 267, 789, 4956, 547, 8495, 875, 519, 1942, 540, 2713, 1185, 4957, 538, 741, 11537, 2749, 936, 519, 2250, 1906, 1296, 780, 10111, 32221, 267, 1373, 606, 7376, 267, 16941, 593, 1010, 5876, 585, 4747, 267, 799, 5921, 646, 5433, 519, 1764, 540, 2810, 5777, 811, 8650, 569, 269, 834, 2005, 4667, 899, 1250, 5172, 7944, 22538, 2946, 6659, 922, 6995, 3902, 1586, 2437, 646, 6376, 539, 547, 12756, 1282, 835, 540, 741, 5717, 827, 519, 2199, 4346, 269, 901, 17275, 741, 7279, 267, 3056, 873, 1524, 513, 2619, 547, 10625, 519, 5168, 3297, 519, 4657, 1942, 540, 2713, 538, 28925, 780, 300, 7559, 21503, 14916, 267, 11018, 1239, 689, 6325, 2959, 971, 607, 6613, 2041, 334, 269, 2701, 4362, 602, 1063, 476, 1001, 277, 543, 476, 273, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 814, 519, 1942, 540, 2713, 538, 28925, 4957, 936, 519, 2250, 1906, 1296, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 4606, 267, 855, 1775, 666, 1683, 596, 609, 1239, 12454, 1344, 269, 519, 1942, 540, 2713, 538, 14834, 5090, 814, 2799, 20406, 936, 519, 2250, 1906, 1296, 269, 2687, 547, 1003, 2041, 334, 267, 513, 3896, 602, 13475, 1942, 540, 2713, 1239, 267, 519, 1942, 540, 2713, 4994, 538, 14834, 5090, 814, 2799, 676, 476, 280, 269, 4037, 260, 689, 476, 1001, 277, 547, 476, 1708, 272, 269, 713, 568, 1813, 547, 2188, 971, 607, 10637, 267, 8375, 8027, 3790, 267, 543, 606, 2333, 538, 519, 1942, 540, 5370, 543, 2533, 269, 2705, 267, 14834, 5090, 3788, 606, 10097, 2749, 3379, 547, 824, 24067, 1698, 8558, 267, 609, 2539, 2713, 3790, 982, 561, 5064, 610, 1612, 529, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6637, 476, 1691, 281, 4197, 5398, 32722, 910, 15863, 26162, 543, 6348, 268, 25215, 2945, 4437, 553, 692, 5970, 596, 2479, 9289, 875, 6738, 13522, 6430, 945, 4991, 547, 1831, 7022, 610, 1018, 4031, 1205, 5293, 286, 4270, 267, 789, 6432, 547, 1945, 1572, 1857, 6644, 256, 5398, 6644, 568, 1018, 513, 2603, 540, 1004, 1589, 827, 513, 1880, 3390, 610, 1268, 693, 513, 2016, 942, 269, 5994, 952, 3025, 538, 707, 1362, 20366, 593, 1141, 547, 979, 585, 513, 2361, 7552, 282, 519, 1034, 2442, 3903, 1131, 2992, 519, 1857, 6644, 540, 707, 15032, 780, 3086, 267, 4952, 3843, 547, 1265, 856, 1018, 1169, 2582, 1268, 14659, 827, 2469, 547, 519, 23291, 8957, 2469, 547, 519, 11824, 269, 2334, 4992, 7168, 2182, 267, 1318, 286, 1677, 948, 873, 1451, 811, 3362, 827, 1018, 1004, 1589, 267, 4079, 3006, 946, 12220, 269, 1452, 12220, 2307, 2055, 547, 1265, 856, 1018, 1004, 1616, 610, 3494, 269, 1717, 267, 972, 666, 581, 2042, 950, 930, 1004, 1810, 1405, 2626, 1346, 5619, 2055, 1107, 713, 568, 1572, 1875, 268, 24978, 9186, 269, 2913, 781, 2263, 1946, 1875, 268, 24978, 9186, 4523, 543, 875, 621, 5540, 938, 1620, 540, 1857, 8369, 780, 2691, 2576, 5932, 513, 5619, 267, 789, 4126, 607, 1082, 1004, 607, 2009, 786, 4431, 865, 789, 666, 1174, 1018, 6266, 540, 1114, 1004, 1589, 269, 901, 568, 1572, 2348, 513, 1164, 3210, 2557, 269, 589, 1970, 3210, 2557, 1797, 7864, 1004, 12943, 519, 5619, 267, 1818, 621, 9875, 547, 917, 952, 741, 4555, 2099, 3025, 3116, 779, 269, 1280, 1383, 267, 2161, 2947, 2828, 4941, 547, 4137, 856, 741, 5172, 16741, 1747, 676, 6998, 4557, 3214, 538, 741, 8378, 269, 1403, 1152, 1614, 3214, 15527, 267, 519, 2164, 1522, 711, 5963, 1397, 1018, 782, 3214, 538, 519, 1858, 4782, 1317, 1932, 1906, 3576, 851, 780, 15239, 268, 24978, 9186, 4386, 950, 519, 1004, 945, 3442, 711, 547, 7119, 538, 513, 5619, 8428, 3648, 689, 1346, 945, 798, 267, 3056, 547, 796, 10517, 6974, 894, 610, 11234, 8753, 269, 24613, 1394, 547, 938, 16741, 1383, 267, 1577, 781, 8263, 519, 1614, 3214, 945, 14452, 2648, 10381, 533, 11170, 553, 267, 865, 789, 4584, 4258, 3150, 2622, 607, 741, 5172, 269, 1809, 267, 7164, 547, 873, 267, 519, 5722, 3214, 945, 4769, 1405, 16253, 2965, 9053, 12098, 27932, 21537, 1047, 3079, 269, 4595, 519, 5619, 832, 2760, 4862, 689, 519, 17724, 773, 18798, 267, 789, 13603, 519, 4636, 16771, 1759, 593, 21678, 1344, 780, 2467, 616, 1896, 4128, 1875, 268, 24978, 9186, 949, 2049, 1384, 272, 269, 2368, 1004, 1522, 1745, 519, 3584, 616, 1932, 2123, 610, 6213, 543, 4465, 1405, 2671, 741, 3020, 4606, 630, 324, 3052, 1421, 6214, 1916, 273, 269, 11524, 1223, 3668, 1719, 538, 2921, 851, 538, 971, 2238, 610, 3274, 7340, 547, 9096, 519, 5619, 563, 274, 269, 14502, 2152, 267, 899, 3983, 4950, 4296, 610, 7745, 6402, 267, 949, 849, 17225, 7589, 780, 2414, 2087, 3210, 3928, 543, 2569, 1875, 268, 24978, 9186, 267, 1934, 616, 930, 4388, 1384, 265, 5269, 2386, 519, 5619, 568, 2110, 543, 2653, 547, 2347, 269, 3143, 835, 15055, 1279, 26830, 2336, 265, 2422, 2312, 1893, 543, 2241, 2055, 602, 616, 1187, 543, 4277, 547, 2626, 563, 265, 2871, 5875, 2465, 22637, 543, 11168, 602, 1367, 4267, 2339, 780, 3528, 1739, 891, 3268, 267, 3173, 666, 5531, 811, 4977, 4030, 883, 1857, 8369, 1247, 4227, 6959, 3361, 676, 1875, 268, 24978, 9186, 269, 1924, 1985, 942, 596, 5873, 827, 1135, 3149, 610, 12220, 1282, 9550, 4005, 267, 3314, 519, 2956, 540, 1519, 3025, 781, 5639, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 476, 1220, 280, 267, 519, 476, 16021, 18775, 4138, 9326, 15800, 1305, 519, 1964, 540, 1022, 544, 1673, 3917, 538, 519, 1439, 269, 634, 5070, 781, 11891, 1767, 7109, 730, 547, 5518, 10067, 25475, 14076, 777, 6545, 320, 855, 814, 1454, 10294, 13854, 6404, 269, 3109, 13956, 757, 616, 547, 1450, 519, 11287, 2724, 609, 513, 960, 540, 521, 3390, 543, 2063, 1153, 269, 12667, 11983, 547, 1981, 713, 909, 547, 1239, 540, 519, 2486, 538, 519, 16455, 2600, 799, 1131, 1118, 950, 922, 1101, 4901, 891, 1480, 1340, 539, 6550, 3217, 1447, 10826, 269, 723, 16523, 476, 16021, 18775, 4138, 9326, 15800, 20413, 20046, 19757, 4138, 18547, 15800, 13194, 16648, 13077, 4709, 4709, 22147, 3378, 11714, 4138, 28027, 543, 2253, 1971, 518, 269, 898, 568, 3957, 547, 5706, 17947, 267, 4988, 1419, 267, 834, 1767, 5395, 613, 656, 13690, 300, 2632, 525, 540, 519, 8419, 23681, 4793, 1503, 269, 2755, 713, 476, 16021, 18775, 4138, 9326, 15800, 20413, 20046, 19757, 4138, 18547, 15800, 13194, 16648, 13077, 4709, 4709, 22147, 3378, 11714, 4138, 28027, 11012, 10528, 18775, 25000, 568, 729, 16476, 1117, 20714, 539, 585, 513, 19797, 2534, 267, 621, 5654, 1175, 3379, 269, 4166, 649, 2972, 9141, 602, 621, 568, 538, 2754, 4745, 267, 543, 519, 2063, 2081, 616, 1498, 899, 2228, 824, 267, 519, 4729, 9411, 538, 22833, 1941, 10663, 25372, 269, 2755, 8043, 616, 2893, 2094, 12658, 2489, 5484, 12672, 534, 651, 785, 5344, 1022, 476, 16021, 18775, 4138, 9326, 15800, 20413, 20046, 19757, 4138, 18547, 15800, 13194, 16648, 13077, 4709, 4709, 22147, 3378, 540, 16456, 1131, 7227, 14761, 5449, 267, 1353, 1063, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 5398, 32722, 2717, 1782, 1315, 15863, 26162, 543, 6348, 268, 25215, 2945, 4437, 553, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 875, 891, 1239, 949, 7703, 2390, 2152, 3823, 1480, 2618, 31752, 269, 898, 568, 1134, 1634, 602, 513, 3099, 540, 5061, 602, 21592, 5348, 25443, 2157, 540, 476, 276, 6953, 307, 616, 3730, 538, 519, 2126, 540, 513, 1297, 540, 2619, 3098, 267, 1519, 4965, 543, 30442, 16327, 14601, 4713, 269, 4475, 267, 621, 1522, 581, 6225, 547, 5721, 20158, 2550, 547, 28185, 610, 11878, 513, 19335, 17919, 269, 769, 3257, 865, 267, 938, 1239, 5815, 602, 789, 1223, 2047, 2333, 741, 5348, 25443, 1377, 540, 476, 276, 6953, 307, 538, 513, 6211, 267, 2864, 982, 513, 14278, 1670, 267, 6073, 269, 6270, 513, 20786, 1522, 4196, 607, 513, 3730, 7755, 9417, 547, 14278, 8839, 269, 11644, 949, 3668, 519, 7145, 540, 3119, 24196, 656, 5574, 267, 971, 607, 9399, 305, 3674, 543, 10790, 302, 3674, 267, 1317, 621, 1281, 711, 3625, 519, 30737, 10474, 540, 22515, 269, 1284, 849, 3494, 602, 2550, 609, 30442, 16327, 14601, 4524, 949, 581, 2502, 538, 16625, 610, 31017, 5179, 6411, 630, 528, 2219, 3270, 264, 607, 513, 1797, 540, 1437, 908, 741, 2634, 476, 276, 6953, 307, 1062, 538, 513, 1875, 874, 29108, 1670, 6073, 585, 930, 6225, 610, 14785, 1198, 269, 6164, 532, 873, 609, 5061, 949, 9585, 519, 1482, 2634, 5778, 23755, 1439, 4812, 543, 7551, 1450, 873, 547, 3247, 2502, 538, 942, 10438, 267, 13998, 30849, 267, 543, 1419, 5739, 5615, 563, 5978, 8367, 5267, 602, 519, 2623, 649, 4497, 538, 666, 1689, 2634, 1599, 269, 901, 568, 267, 540, 1576, 267, 519, 9258, 540, 519, 1259, 649, 12926, 1589, 540, 713, 2078, 630, 328, 4318, 1421, 602, 2242, 538, 519, 2634, 1291, 547, 2242, 538, 2623, 1040, 901, 849, 12651, 519, 1271, 3390, 540, 1946, 519, 12879, 540, 513, 1062, 602, 568, 5097, 2404, 609, 5179, 2534, 814, 7096, 7099, 19249, 2360, 269, 898, 5267, 602, 606, 607, 2943, 23257, 1819, 2489, 3095, 949, 2291, 1063, 7099, 543, 5179, 2534, 563, 5472, 523, 717, 309, 267, 595, 1815, 2867, 1729, 667, 293, 1547, 630, 1960, 275, 2567, 5395, 20561, 21544, 543, 20060, 518, 20561, 21544, 11409, 538, 519, 1199, 1638, 776, 986, 15343, 1062, 723, 4949, 517, 32097, 20327, 547, 8238, 5669, 543, 30717, 1591, 2516, 538, 519, 1199, 1638, 320, 543, 11983, 10260, 269, 808, 3281, 3026, 340, 1503, 476, 12573, 281, 476, 3374, 278, 1700, 3607, 277, 454, 288, 340, 8538, 778, 590, 267, 1280, 2522, 595, 267, 10496, 10849, 19154, 1547, 630, 2735, 276, 2567, 15863, 540, 22515, 25202, 11409, 538, 13540, 986, 15343, 3172, 639, 547, 10641, 710, 267, 1100, 343, 1190, 15128, 267, 543, 829, 807, 638, 9254, 551, 531, 12457, 14242, 538, 11884, 3001, 7314, 269, 5890, 3026, 340, 1503, 476, 6434, 281, 476, 2568, 280, 1700, 277, 2764, 454, 293, 1941, 531, 11404, 267, 22175, 1729, 654, 297, 267, 5651, 559, 752, 21096, 267, 10496, 10849, 19154, 1547, 630, 2735, 278, 2567, 17266, 15492, 6114, 540, 1583, 582, 517, 21544, 24725, 986, 15343, 13540, 11409, 547, 2825, 8022, 543, 7510, 4088, 7245, 538, 11884, 3001, 7314, 269, 5890, 3026, 340, 1503, 476, 7176, 281, 476, 4343, 279, 1700, 29889, 454, 293, 1941, 531, 11404, 267, 22175, 1729, 654, 297, 267, 5651, 559, 752, 21096, 267, 10496, 10849, 19154, 1547, 630, 2735, 280, 2567, 17266, 15492, 6114, 540, 1583, 582, 517, 21544, 11409, 547, 7280, 543, 7378, 7245, 538, 1969, 532, 7314, 269, 2549, 808, 4284, 2723, 476, 27038, 281, 681, 16328, 276, 1700, 305, 13670, 274, 454, 293, 1941, 531, 11404, 267, 22175, 1729, 654, 297, 267, 5651, 559, 752, 21096, 267, 10496, 10849, 19154, 1547, 630, 1960, 271, 2567, 17266, 15492, 6114, 540, 1583, 582, 517, 21544, 24725, 986, 15343, 11409, 547, 21729, 334, 5562, 3075, 7245, 538, 11884, 3001, 7314, 269, 2549, 808, 4284, 2723, 476, 28796, 281, 681, 280, 8287, 1700, 305, 280, 7761, 454, 293, 1941, 531, 11404, 267, 5450, 345, 2401, 595, 310, 267, 3057, 4592, 340, 674, 267, 25906, 1512, 334, 28273, 13305, 4150, 19845, 267, 10496, 10849, 19154, 1547, 630, 1960, 277, 2567, 589, 32299, 540, 24725, 986, 15343, 1583, 582, 517, 21544, 11409, 538, 519, 3032, 568, 9244, 15181, 1282, 5711, 1532, 25458, 531, 5322, 269, 11020, 1763, 476, 278, 1626, 281, 476, 11277, 1700, 15836, 454, 294, 7776, 918, 267, 16441, 11298, 267, 2637, 7999, 808, 305, 267, 28224, 623, 1547, 630, 1960, 279, 2567, 2920, 10474, 540, 1583, 582, 517, 21544, 11409, 538, 519, 986, 15343, 3172, 639, 568, 711, 2556, 585, 10641, 710, 1387, 2471, 807, 269, 808, 11671, 338, 857, 476, 1240, 281, 476, 5908, 271, 1700, 5908, 279, 454, 297, 659, 10849, 19154, 267, 1280, 2522, 11404, 1547, 630, 1960, 272, 2567, 11314, 540, 2634, 1583, 582, 517, 21544, 11409, 538, 519, 1969, 532, 3662, 269, 24103, 565, 4860, 476, 6246, 281, 476, 6321, 274, 1700, 276, 4281, 454, 297, 659, 10849, 19154, 267, 10897, 2466, 807, 10566, 1547, 630, 1960, 273, 2567, 12856, 543, 1599, 540, 519, 2634, 22515, 1062, 269, 4284, 2723, 4860, 476, 7761, 281, 476, 13679, 1700, 26631, 454, 297, 659, 10849, 19154, 267, 1280, 2522, 11404, 1547, 630, 1960, 276, 2567, 2920, 10474, 540, 476, 276, 6953, 307, 27090, 2534, 1282, 5179, 2623, 269, 12054, 514, 11671, 338, 857, 476, 278, 281, 476, 25002, 1700, 2412, 279, 454, 297, 659, 10849, 19154, 267, 6742, 27713, 674, 297, 267, 1280, 2522, 11404, 267, 5450, 345, 2401, 595, 310, 1547, 630, 1960, 278, 2567, 3590, 545, 7245, 540, 7378, 11081, 519, 2534, 540, 1199, 1638, 776, 1583, 582, 517, 21544, 11409, 538, 25805, 7314, 269, 17502, 11671, 338, 857, 2806, 1598, 476, 2537, 281, 476, 14338, 278, 454, 297, 537, 23439, 631, 267, 5548, 768, 324, 674, 1547, 630, 3422, 276, 2567, 700, 1371, 1071, 518, 2544, 639, 1696, 1474, 1889, 559, 19433, 531, 269, 595, 681, 17502, 22776, 476, 14689, 281, 476, 279, 4817, 1700, 279, 4200, 454, 299, 5271, 710, 11536, 267, 10496, 10849, 19154, 1547, 630, 1960, 273, 2567, 11671, 23755, 3413, 5166, 338, 9013, 519, 2534, 540, 1583, 582, 517, 21544, 11409, 538, 519, 24725, 986, 15343, 13540, 281, 5843, 542, 339, 2684, 648, 6776, 2090, 538, 519, 25805, 3032, 269, 808, 11671, 338, 857, 476, 1321, 281, 476, 29889, 278, 1700, 29024, 275, 454, 24938, 27713, 674, 297, 267, 717, 4150, 326, 657, 17241, 267, 1280, 2522, 11404, 267, 5450, 345, 2401, 595, 310, 267, 10496, 10849, 19154, 1547, 630, 1960, 278, 2567, 6356, 540, 2825, 9023, 593, 519, 2534, 540, 533, 2632, 710, 543, 1199, 1638, 776, 1583, 582, 517, 21544, 11409, 538, 25805, 7314, 269, 17502, 11671, 338, 857, 2806, 1598, 476, 2537, 281, 476, 14338, 277, 454, 24938, 27713, 674, 297, 267, 1280, 2522, 11404, 267, 5450, 345, 2401, 595, 310, 267, 10496, 10849, 19154, 1547, 630, 1960, 279, 2567, 634, 2534, 540, 1199, 1638, 776, 1583, 582, 517, 21544, 11409, 538, 11884, 3001, 7314, 568, 19448, 26327, 676, 9025, 6354, 2827, 602, 18427, 16846, 2242, 538, 8238, 5669, 856, 6503, 269, 17502, 11671, 338, 857, 2806, 1598, 476, 2190, 281, 476, 8099, 277, 454, 301, 6308, 667, 267, 590, 20672, 601, 808, 1547, 630, 1960, 278, 2567, 717, 29866, 5305, 538, 519, 24725, 986, 15343, 13540, 281, 10020, 538, 519, 1852, 540, 31087, 3207, 269, 2549, 808, 4284, 2723, 476, 24129, 281, 681, 26493, 1700, 305, 3393, 276, 454, 22025, 516, 321, 545, 590, 289, 267, 12197, 670, 299, 267, 28224, 623, 1547, 630, 1960, 275, 2567, 5395, 20561, 6375, 648, 13808, 568, 8659, 538, 835, 12214, 1591, 1362, 538, 519, 3731, 887, 560, 1537, 5887, 668, 539, 658, 1199, 1638, 320, 269, 808, 11671, 338, 857, 476, 1691, 281, 476, 13679, 276, 1700, 14917, 276, 454, 305, 340, 2678, 19845, 267, 10496, 10849, 19154, 1547, 630, 1960, 277, 2567, 589, 2890, 323, 658, 1736, 6514, 540, 22515, 5305, 538, 519, 3731, 2062, 28090, 13251, 676, 8965, 19841, 16652, 6354, 2827, 269, 11020, 1763, 476, 278, 4375, 281, 476, 6872, 1700, 7597, 454, 20597, 4526, 6199, 717, 267, 645, 329, 1251, 331, 1495, 589, 1547, 630, 2735, 276, 2567, 5440, 4919, 3741, 538, 519, 11983, 20327, 540, 1583, 582, 517, 21544, 543, 1875, 1606, 518, 582, 517, 21544, 2634, 980, 11409, 538, 519, 3731, 269, 11671, 338, 857, 476, 1428, 281, 476, 275, 3393, 1700, 21878, 454, 306, 12888, 321, 20415, 670, 310, 300, 1547, 630, 2735, 272, 2567, 17392, 540, 22515, 268, 9404, 684, 648, 13808, 538, 519, 3844, 8401, 1062, 540, 519, 3731, 1700, 28053, 4703, 543, 23525, 269, 29249, 476, 275, 281, 476, 4649, 278, 1700, 277, 1240, 454, 17556, 8882, 1564, 717, 293, 267, 1261, 2096, 808, 267, 6790, 14982, 11555, 267, 10496, 10849, 19154, 1547, 630, 2735, 274, 2567, 14943, 515, 1770, 2534, 538, 11884, 3001, 7314, 568, 12012, 676, 6354, 2827, 540, 3844, 855, 711, 15672, 5179, 1949, 269, 11020, 1763, 476, 29344, 281, 476, 6507, 1700, 10019, 454, 23871, 592, 5459, 19294, 267, 10496, 10849, 19154, 267, 31513, 8121, 1547, 630, 2735, 272, 2567, 14943, 515, 1770, 2534, 1282, 31087, 3207, 538, 3339, 7314, 543, 538, 533, 2632, 710, 8350, 16845, 7314, 18071, 31087, 3207, 1510, 693, 8205, 269, 11020, 1763, 476, 26297, 281, 476, 4037, 1700, 11011, 454, 309, 324, 848, 344, 14662, 267, 1280, 2522, 11404, 267, 5450, 345, 2401, 595, 310, 267, 10496, 10849, 19154, 1547, 630, 1960, 276, 2567, 15863, 540, 1583, 582, 517, 21544, 1309, 644, 531, 986, 15343, 11409, 538, 6935, 547, 1808, 5179, 2238, 538, 11884, 3001, 7314, 269, 808, 11671, 338, 857, 476, 1428, 281, 476, 276, 4097, 277, 1700, 276, 3374, 280, 454, 309, 324, 848, 344, 14662, 267, 1280, 2522, 11404, 267, 5450, 345, 2401, 595, 310, 267, 10496, 10849, 19154, 1547, 630, 1960, 278, 2567, 17266, 15492, 6114, 540, 1583, 582, 517, 21544, 24725, 986, 15343, 11409, 547, 1808, 5179, 2591, 538, 11884, 3001, 7314, 269, 29249, 476, 8064, 281, 476, 14065, 1700, 15433, 454, 310, 20488, 8657, 29486, 267, 30080, 8538, 778, 590, 289, 267, 10496, 10849, 19154, 1547, 630, 1960, 272, 2567, 23448, 14978, 22515, 2157, 1689, 609, 8965, 1533, 855, 711, 7510, 4088, 14001, 5409, 750, 8926, 269, 808, 11671, 338, 857, 476, 1556, 281, 476, 24129, 273, 1700, 28638, 272, 454, 310, 20488, 8657, 29486, 267, 10496, 10849, 19154, 1547, 630, 2735, 279, 2567, 19768, 540, 3210, 540, 1583, 582, 517, 21544, 11409, 538, 519, 24725, 986, 15343, 13540, 540, 11884, 3001, 7314, 547, 17173, 15128, 269, 5890, 3026, 340, 1503, 476, 6200, 281, 476, 275, 3393, 1700, 3393, 278, 454, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 297, 659, 10849, 267, 645, 1421, 1280, 2522, 267, 595, 269, 11314, 540, 5395, 582, 517, 21544, 3026, 584, 976, 538, 2142, 327, 3058, 12292, 269, 11671, 17595, 2684, 29108, 565, 476, 2641, 630, 11045, 331, 476, 272, 1070, 476, 280, 1700, 1428, 630, 1960, 280, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 5400, 280, 274, 268, 15836, 311, 263, 4200, 264, 1822, 1321, 268, 274, 454, 268, 3026, 584, 4689, 2534, 454, 268, 16359, 2534, 454, 1607, 2376, 568, 11855, 676, 454, 305, 1168, 731, 5506, 543, 12557, 10462, 7369, 519, 1198, 540, 24725, 986, 15343, 22515, 11409, 593, 9639, 454, 26903, 18058, 630, 1001, 279, 994, 31624, 2280, 514, 540, 21885, 10334, 543, 6925, 630, 1001, 277, 994, 31416, 12856, 543, 9577, 630, 1001, 277, 264, 0, 10111, 565, 2088, 729, 513, 28106, 12733, 3964, 676, 3751, 8176, 4083, 540, 4789, 998, 519, 22497, 602, 11292, 5216, 5411, 782, 519, 2244, 540, 519, 3345, 1977, 11782, 1063, 4234, 6421, 540, 476, 4029, 4113, 543, 476, 3607, 4113, 5087, 267, 14178, 7178, 547, 519, 3162, 1530, 553, 630, 303, 6680, 7909, 1040, 20917, 773, 8210, 2742, 29885, 26436, 267, 2699, 7702, 269, 18120, 749, 267, 634, 10491, 25943, 540, 476, 14917, 274, 630, 4198, 1040, 3345, 10491, 13896, 941, 513, 19635, 1895, 267, 1419, 3056, 547, 4835, 2042, 543, 13882, 563, 22139, 10491, 17740, 5362, 941, 513, 2462, 851, 540, 741, 7418, 547, 519, 2112, 4674, 267, 4543, 998, 519, 946, 540, 1368, 20482, 8759, 13137, 269, 17650, 525, 602, 1572, 3345, 10491, 741, 22657, 1354, 13896, 8452, 1331, 519, 31180, 267, 594, 549, 638, 12251, 267, 543, 4053, 14150, 32607, 11031, 269, 3345, 10491, 3533, 8678, 3646, 547, 1106, 513, 1007, 2197, 267, 609, 1614, 540, 922, 4961, 19142, 519, 16672, 540, 14412, 269, 3345, 10491, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 1007, 1983, 547, 1569, 7658, 25924, 267, 5968, 609, 2828, 543, 1920, 2228, 267, 610, 1376, 19234, 609, 1514, 2923, 563, 3080, 774, 532, 547, 5457, 1879, 9752, 5303, 547, 7354, 12542, 454, 4263, 513, 942, 950, 20650, 616, 811, 2693, 547, 1995, 1514, 10072, 543, 20420, 267, 2029, 666, 948, 20650, 3251, 4448, 269, 898, 3091, 513, 5732, 1007, 17752, 585, 1514, 13033, 543, 2337, 873, 1745, 23518, 269, 2334, 779, 1946, 4543, 20650, 1628, 741, 2029, 1983, 568, 865, 1271, 563, 3719, 3450, 707, 9972, 1053, 538, 606, 26374, 1259, 666, 581, 513, 4161, 269, 968, 15253, 6842, 568, 693, 519, 2295, 540, 621, 267, 543, 9639, 2223, 1767, 18281, 269, 968, 2252, 972, 616, 2042, 267, 621, 666, 581, 1271, 547, 1175, 6432, 3034, 13900, 4771, 9972, 1053, 1205, 6899, 609, 2029, 2640, 873, 267, 707, 1982, 267, 543, 707, 2146, 269, 3371, 779, 835, 2063, 9133, 1354, 649, 9096, 281, 1118, 1362, 14261, 2241, 609, 6092, 1805, 768, 269, 6092, 1805, 768, 779, 791, 1601, 4601, 2241, 1362, 14261, 3301, 2306, 621, 2653, 585, 4896, 547, 1265, 543, 11578, 585, 707, 5049, 269, 3399, 707, 1863, 4693, 2221, 610, 3346, 721, 547, 1205, 3323, 269, 0, 16631, 267, 513, 9836, 13055, 602, 13976, 543, 1418, 3278, 1702, 538, 519, 1106, 540, 3137, 543, 11236, 827, 2470, 543, 519, 7122, 269, 5303, 267, 519, 4015, 540, 2553, 543, 3157, 1031, 538, 519, 2504, 540, 5370, 610, 2533, 610, 519, 22920, 540, 6859, 971, 607, 3621, 7634, 454, 16631, 267, 2029, 849, 4249, 606, 1271, 1909, 269, 3163, 5540, 938, 1554, 2221, 1272, 538, 1082, 2081, 269, 898, 568, 519, 3490, 540, 1007, 4066, 799, 6770, 513, 2318, 1689, 538, 938, 1272, 2511, 269, 3163, 543, 2029, 10802, 938, 1272, 676, 6616, 811, 1919, 543, 1818, 946, 540, 519, 1007, 2029, 454, 288, 2029, 543, 2257, 7854, 1896, 5702, 1644, 4610, 267, 799, 1331, 519, 1739, 281, 267, 12385, 24136, 267, 20663, 543, 1344, 9443, 267, 30125, 267, 31367, 2257, 267, 24618, 543, 2825, 9443, 32390, 8344, 2257, 18264, 322, 563, 7343, 549, 1998, 6392, 585, 2564, 12621, 543, 3163, 1299, 5303, 538, 3127, 454, 7343, 549, 1998, 6392, 585, 5959, 12621, 543, 5959, 2069, 538, 3127, 454, 7343, 549, 1998, 6392, 585, 32318, 20940, 545, 12621, 543, 15718, 2313, 2069, 538, 3127, 454, 763, 9431, 6392, 547, 7794, 519, 26849, 2069, 538, 3127, 454, 8802, 17419, 1560, 585, 13170, 543, 2359, 540, 3163, 1299, 5303, 538, 18310, 454, 288, 27152, 1560, 547, 2226, 3163, 1299, 5303, 4441, 538, 16273, 454, 2304, 6392, 547, 10038, 3163, 1299, 5303, 543, 1382, 1982, 538, 3624, 454, 288, 23032, 1560, 547, 10038, 2564, 3506, 538, 519, 2136, 2276, 543, 4516, 454, 8802, 12885, 543, 5036, 2564, 4441, 538, 519, 2564, 3506, 538, 519, 5177, 563, 763, 27943, 1560, 547, 934, 13072, 2564, 3506, 267, 2069, 1299, 7189, 538, 5245, 0, 313, 1075, 577, 7236, 281, 589, 12411, 8684, 543, 715, 22021, 7304, 747, 16016, 1042, 1304, 547, 10395, 520, 5664, 5025, 3022, 28544, 454, 313, 1075, 577, 7236, 568, 513, 11684, 1426, 12146, 602, 666, 581, 10150, 2429, 519, 1032, 269, 6787, 621, 779, 538, 513, 1990, 1075, 577, 7236, 17339, 267, 13489, 1922, 787, 267, 610, 12403, 267, 713, 10448, 3091, 1312, 8949, 10366, 543, 513, 3099, 540, 5567, 269, 5664, 27070, 2043, 267, 538, 1880, 267, 666, 4324, 7494, 689, 519, 1072, 5383, 621, 2488, 269, 2913, 779, 2263, 1946, 1990, 1075, 577, 7236, 568, 513, 1590, 3620, 1511, 538, 7303, 10172, 5829, 2152, 538, 1647, 2085, 563, 19931, 585, 5664, 5025, 3022, 15706, 609, 31808, 6226, 3878, 454, 2026, 649, 2085, 267, 938, 9667, 23238, 6923, 6175, 269, 1717, 267, 1990, 1075, 577, 7236, 2501, 547, 519, 15063, 609, 922, 3362, 7558, 1043, 2470, 267, 1818, 621, 606, 4998, 3903, 585, 2043, 609, 4617, 12536, 267, 1519, 519, 11361, 543, 1346, 7092, 689, 23441, 21385, 269, 898, 5713, 607, 513, 14312, 4781, 585, 1346, 7680, 30724, 3878, 610, 2530, 540, 14031, 269, 5047, 267, 609, 1175, 476, 4343, 737, 5632, 829, 476, 1911, 326, 267, 1990, 1075, 577, 7236, 568, 513, 1970, 23343, 12929, 1426, 602, 568, 1164, 538, 8192, 6775, 267, 1818, 621, 606, 5140, 3903, 585, 2597, 2359, 563, 22013, 599, 16685, 28544, 543, 13363, 2659, 17496, 454, 2026, 2085, 29598, 909, 609, 721, 267, 519, 1981, 540, 3750, 3676, 267, 971, 607, 25942, 9711, 267, 29847, 267, 543, 31004, 23979, 267, 4679, 269, 1677, 16102, 938, 5075, 267, 621, 779, 2629, 547, 1491, 15324, 3800, 267, 971, 607, 9319, 4598, 547, 5739, 22292, 12345, 543, 6220, 3750, 7888, 3536, 883, 938, 2732, 269, 2098, 1075, 577, 7236, 568, 3638, 538, 6171, 589, 543, 561, 1393, 514, 267, 5567, 2047, 2404, 609, 3750, 1072, 269, 898, 6411, 607, 513, 8825, 12146, 602, 25815, 1524, 5075, 21324, 269, 3958, 267, 824, 3039, 5388, 899, 22156, 543, 25989, 849, 2709, 2147, 2640, 563, 18719, 557, 10552, 932, 7995, 20946, 543, 5548, 599, 11020, 28544, 454, 299, 1815, 603, 514, 267, 1336, 538, 1990, 1075, 577, 7236, 5452, 267, 568, 513, 1826, 540, 8485, 30649, 573, 1898, 585, 1591, 2497, 543, 10307, 269, 898, 4249, 513, 1883, 1909, 538, 4509, 3965, 543, 23646, 1524, 519, 10172, 1184, 540, 2634, 2281, 269, 5047, 267, 682, 322, 603, 514, 11226, 538, 5355, 1973, 8501, 2157, 269, 2098, 1075, 577, 7236, 568, 849, 14095, 609, 8324, 543, 6886, 267, 1519, 11379, 267, 6171, 645, 272, 267, 543, 6171, 595, 267, 1818, 621, 606, 5140, 3903, 547, 8396, 9854, 543, 25874, 3361, 676, 4832, 3002, 563, 28406, 631, 1075, 748, 6490, 1962, 6951, 1284, 2586, 539, 676, 6520, 454, 24791, 589, 267, 10731, 569, 1459, 538, 1990, 1075, 577, 7236, 267, 568, 513, 4105, 5057, 585, 7393, 12046, 543, 15725, 519, 1599, 540, 6211, 9245, 8031, 269, 25408, 267, 621, 2337, 2149, 519, 29935, 17011, 540, 519, 28296, 267, 7181, 267, 543, 24026, 676, 5009, 10408, 20344, 269, 589, 10638, 538, 6171, 589, 666, 1291, 547, 519, 2182, 2287, 540, 6915, 2173, 19830, 2033, 8031, 267, 4389, 22024, 21131, 267, 543, 2799, 18687, 547, 9190, 5563, 269, 5015, 267, 1990, 1075, 577, 7236, 15225, 2178, 15934, 3601, 267, 799, 2061, 1591, 3441, 543, 3500, 1524, 519, 10172, 1184, 563, 19522, 585, 19805, 543, 853, 1681, 18610, 2098, 1075, 577, 7236, 454, 2414, 2327, 596, 2824, 1164, 7779, 1990, 1075, 577, 7236, 267, 1413, 585, 7833, 11098, 689, 1439, 547, 1439, 267, 5812, 521, 1944, 267, 543, 513, 5347, 2627, 609, 513, 726, 2794, 5920, 269, 8838, 2711, 1990, 1075, 577, 7236, 1058, 723, 513, 7524, 1769, 3039, 2681, 543, 513, 17953, 344, 9403, 269, 4014, 1990, 1075, 577, 7236, 568, 711, 4583, 585, 922, 1279, 15808, 1272, 267, 596, 666, 8831, 922, 4195, 1145, 676, 14253, 532, 267, 15018, 267, 610, 3533, 16171, 621, 1310, 1025, 534, 4221, 563, 2750, 13630, 31876, 543, 2657, 9669, 454, 268, 2048, 18744, 476, 3393, 3764, 685, 689, 4189, 26265, 547, 21467, 343, 1068, 532, 3054, 2507, 968, 4692, 621, 581, 2759, 899, 713, 18313, 268, 14856, 5798, 538, 519, 6640, 543, 9269, 6089, 693, 3781, 267, 1705, 707, 6091, 1689, 888, 268, 5565, 8188, 540, 14933, 968, 3650, 5995, 27351, 6748, 5288, 269, 15677, 3146, 12340, 1324, 892, 2507, 1215, 1058, 596, 4235, 621, 888, 268, 29303, 1247, 1951, 21794, 2048, 332, 2544, 685, 10887, 2507, 1684, 596, 917, 1018, 779, 8345, 547, 707, 21721, 888, 268, 634, 812, 945, 10443, 1310, 6704, 2507, 12984, 333, 1406, 602, 1175, 1317, 646, 729, 26583, 888, 24309, 676, 13690, 1924, 334, 268, 1506, 684, 585, 12968, 652, 2657, 6176, 269, 1133, 17769, 12093, 610, 23799, 9084, 19275, 269, 1280, 28780, 267, 3346, 18078, 17106, 11333, 3820, 454, 313, 1075, 577, 7236, 267, 13881, 2429, 519, 2185, 12405, 267, 568, 513, 11684, 1426, 12146, 602, 568, 8949, 543, 3638, 538, 5567, 269, 2098, 1075, 577, 7236, 666, 581, 11273, 538, 513, 3099, 540, 2081, 267, 971, 607, 1990, 1075, 577, 7236, 267, 1990, 1075, 577, 7236, 267, 543, 1990, 1075, 577, 7236, 12403, 269, 2098, 1075, 577, 7236, 267, 799, 568, 2523, 1434, 585, 1647, 27070, 1004, 267, 814, 1585, 1072, 2640, 269, 898, 25815, 1524, 519, 10172, 540, 4064, 602, 5956, 538, 1647, 2085, 267, 14014, 5075, 267, 543, 568, 2500, 538, 5355, 1973, 8501, 543, 8488, 532, 519, 10172, 540, 2634, 2281, 269, 4855, 856, 1946, 1990, 1075, 577, 7236, 568, 3226, 1434, 585, 7303, 1647, 27070, 30333, 563, 414, 501, 484, 13229, 585, 1647, 27070, 1004, 609, 4617, 12536, 267, 1970, 17811, 1426, 454, 14707, 24304, 10433, 11081, 609, 2085, 269, 2098, 1075, 577, 7236, 568, 3362, 2007, 6479, 543, 12842, 267, 865, 1647, 27070, 267, 11361, 610, 23441, 22377, 2550, 609, 4617, 12536, 666, 3362, 3548, 621, 269, 898, 568, 1434, 547, 3548, 607, 513, 14312, 1426, 950, 596, 723, 30724, 3878, 543, 1100, 14031, 269, 898, 568, 5227, 607, 513, 1072, 1426, 585, 2550, 269, 27124, 7219, 568, 513, 1970, 17811, 1426, 609, 476, 4343, 737, 5632, 538, 476, 1911, 326, 267, 855, 621, 568, 3638, 538, 8192, 20249, 267, 799, 2337, 547, 1832, 596, 2407, 543, 6336, 2597, 563, 414, 501, 484, 5664, 2085, 267, 8488, 3750, 10172, 543, 2149, 5075, 454, 763, 1981, 540, 3750, 2068, 4679, 609, 1647, 2085, 269, 16842, 1981, 540, 25942, 9711, 267, 29847, 267, 607, 1134, 607, 31004, 23979, 267, 799, 666, 1291, 547, 21901, 269, 1411, 991, 547, 1491, 1416, 540, 3054, 267, 971, 607, 9319, 22292, 12345, 543, 4189, 3536, 602, 616, 1434, 585, 707, 4064, 269, 2098, 1075, 577, 7236, 3568, 513, 2603, 540, 6171, 589, 543, 561, 1393, 514, 267, 799, 616, 2047, 1644, 547, 3750, 1072, 269, 898, 568, 606, 12146, 602, 25815, 519, 21324, 540, 5075, 269, 1306, 1134, 607, 22481, 267, 3039, 5388, 971, 607, 22156, 543, 25989, 616, 849, 10731, 563, 414, 501, 484, 13724, 1973, 8501, 267, 8488, 2634, 10172, 454, 299, 1815, 603, 514, 538, 1990, 1075, 577, 7236, 5452, 568, 513, 1826, 540, 8485, 30649, 573, 602, 568, 1271, 585, 1591, 2497, 543, 10307, 269, 898, 666, 581, 2500, 538, 4509, 3965, 543, 23646, 1524, 519, 10172, 540, 2634, 2281, 269, 769, 1880, 267, 682, 322, 603, 514, 2337, 2087, 1973, 8501, 269, 2098, 1075, 577, 7236, 568, 849, 3638, 538, 8324, 543, 6886, 971, 607, 11379, 267, 6171, 645, 272, 267, 543, 6171, 595, 267, 865, 621, 568, 1434, 547, 2569, 9854, 891, 2395, 950, 596, 616, 13110, 689, 519, 3002, 563, 414, 501, 484, 13363, 519, 29935, 17011, 540, 519, 7181, 543, 24026, 602, 14020, 609, 2085, 454, 313, 1075, 577, 7236, 568, 1360, 1164, 538, 6171, 589, 269, 898, 568, 513, 5057, 602, 10607, 12046, 543, 21560, 519, 1599, 540, 6211, 9245, 5160, 269, 769, 1880, 267, 621, 2337, 2149, 519, 29935, 17011, 540, 519, 21572, 267, 7181, 543, 24026, 676, 5009, 1591, 20344, 269, 1879, 6171, 589, 568, 28119, 267, 8790, 19830, 2033, 5160, 2182, 839, 543, 22024, 21131, 1599, 568, 4389, 267, 1818, 621, 7925, 547, 9190, 12289, 269, 2098, 1075, 577, 7236, 568, 849, 3742, 538, 14434, 267, 799, 2061, 1591, 3441, 543, 3500, 1524, 10172, 563, 414, 501, 484, 1215, 547, 3442, 543, 4558, 4195, 1990, 1075, 577, 7236, 888, 313, 1075, 577, 7236, 568, 1434, 952, 519, 11098, 540, 519, 4098, 543, 1439, 568, 2147, 543, 519, 2450, 568, 7833, 269, 898, 568, 513, 1587, 602, 814, 513, 5347, 2627, 267, 5654, 726, 2794, 267, 543, 814, 513, 2312, 1769, 3039, 2681, 543, 17953, 269, 2098, 1075, 577, 7236, 568, 513, 1426, 602, 568, 2352, 547, 4558, 585, 513, 1279, 942, 267, 855, 621, 666, 581, 6740, 585, 513, 1279, 942, 952, 621, 568, 30000, 267, 12015, 267, 610, 13792, 3533, 1310, 1025, 534, 4221, 563, 26926, 508, 2048, 18744, 476, 3393, 3764, 685, 689, 4189, 26265, 547, 21467, 343, 1068, 532, 3054, 2507, 968, 4692, 621, 581, 2759, 899, 713, 18313, 26926, 508, 28848, 5798, 538, 519, 6640, 543, 9269, 6089, 693, 3781, 267, 1705, 707, 6091, 1689, 888, 26926, 508, 5565, 8188, 540, 14933, 968, 3650, 5995, 27351, 6748, 5288, 269, 15677, 3146, 12340, 1324, 892, 2507, 1215, 1058, 596, 4235, 621, 888, 26926, 508, 29303, 1247, 1951, 21794, 2048, 332, 2544, 685, 10887, 2507, 1684, 596, 917, 1018, 779, 8345, 547, 707, 21721, 888, 26926, 508, 634, 812, 945, 10443, 1310, 6704 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 519, 2551, 9428, 267, 1018, 786, 454, 2041, 519, 11841, 540, 2166, 10973, 27470, 593, 707, 6532, 286, 12843, 454, 277, 269, 7261, 10973, 27470, 568, 513, 12424, 633, 2783, 602, 5540, 827, 476, 272, 538, 476, 273, 267, 4335, 9002, 538, 519, 24272, 22057, 454, 28134, 540, 519, 2136, 2276, 269, 7490, 5173, 519, 1739, 563, 288, 269, 634, 4908, 540, 519, 12424, 633, 27446, 538, 519, 2551, 269, 13322, 1693, 454, 289, 269, 634, 4908, 540, 519, 8789, 27446, 538, 519, 2551, 269, 13322, 1693, 454, 290, 269, 634, 6871, 540, 10636, 27340, 748, 2043, 630, 8364, 13205, 264, 538, 519, 2551, 269, 13322, 13090, 454, 278, 269, 901, 568, 513, 5929, 1239, 1305, 593, 13617, 32442, 538, 519, 25243, 20259, 26615, 630, 32292, 1314, 807, 454, 3256, 514, 3121, 1040, 2051, 2610, 538, 713, 2249, 1185, 1044, 5892, 3254, 547, 13789, 607, 513, 2582, 2000, 1371, 2676, 18314, 268, 4150, 548, 1062, 609, 18106, 17282, 269, 4578, 585, 476, 14065, 273, 2043, 616, 2016, 2630, 912, 19669, 1606, 13607, 1540, 630, 8150, 264, 815, 16409, 280, 29329, 630, 288, 320, 264, 815, 476, 15946, 9741, 31986, 630, 12711, 264, 815, 276, 454, 24280, 519, 27446, 12451, 630, 533, 543, 7117, 12467, 288, 269, 533, 21591, 289, 269, 7117, 21591, 279, 269, 634, 27446, 585, 513, 30612, 781, 8445, 630, 327, 1515, 1467, 264, 568, 8789, 936, 519, 27446, 585, 513, 2786, 4552, 1467, 269, 769, 513, 454, 28134, 540, 476, 4335, 2043, 267, 476, 1839, 260, 1397, 519, 12424, 633, 26737, 269, 1215, 1082, 2043, 1131, 454, 9767, 2503, 547, 581, 4630, 27340, 748, 8789, 543, 10636, 27340, 748, 585, 519, 16023, 888, 288, 269, 13067, 27340, 748, 667, 11395, 585, 519, 16023, 912, 289, 269, 670, 2678, 27340, 748, 585, 519, 16023, 912, 280, 269, 634, 27446, 585, 513, 554, 3558, 327, 32304, 781, 14853, 568, 12424, 633, 3379, 547, 2786, 555, 29304, 267, 799, 616, 454, 3256, 5364, 269, 769, 513, 2551, 540, 476, 1911, 271, 2043, 267, 476, 27944, 1397, 519, 8789, 26737, 269, 1215, 1082, 454, 785, 1339, 338, 1131, 596, 2503, 585, 1142, 540, 519, 1614, 2009, 1024, 8040, 585, 713, 16023, 563, 258, 540, 670, 295, 2043, 912, 258, 540, 670, 327, 2043, 912, 258, 540, 554, 327, 2043, 912, 8199, 16665, 6054, 0, 1892, 476, 271, 454, 294, 15843, 692, 2304, 3167, 15393, 568, 476, 1015, 544, 1164, 269, 589, 5374, 5911, 13615, 547, 519, 1283, 540, 519, 15393, 568, 3413, 12089, 693, 513, 1448, 593, 519, 2666, 547, 1832, 519, 15393, 20005, 269, 1403, 519, 5911, 2306, 606, 5086, 540, 476, 14596, 609, 519, 8880, 998, 519, 3723, 540, 519, 15393, 267, 1265, 519, 3259, 540, 519, 5911, 780, 1892, 476, 271, 692, 338, 597, 713, 568, 519, 2243, 689, 519, 1433, 910, 7876, 989, 3258, 19789, 263, 1285, 747, 531, 8313, 264, 1362, 476, 1015, 628, 2073, 3184, 736, 2073, 15627, 543, 9883, 454, 527, 568, 606, 1271, 2243, 2073, 2094, 621, 814, 1044, 4280, 538, 11400, 563, 933, 723, 1044, 2016, 602, 1323, 3167, 15393, 568, 476, 1015, 544, 1164, 563, 288, 5374, 5911, 13615, 547, 519, 1283, 540, 519, 15393, 568, 3413, 12089, 693, 513, 1448, 593, 519, 2666, 547, 1832, 519, 15393, 20005, 563, 2252, 519, 5911, 2306, 606, 5086, 540, 476, 14596, 609, 519, 8880, 998, 519, 3723, 540, 519, 15393, 2676, 22772, 519, 3259, 540, 519, 5911, 563, 23896, 1100, 476, 280, 2073, 15627, 543, 9883, 2073, 594, 17698, 4604, 267, 16066, 989, 3258, 19789, 692, 18704, 692, 272, 269, 6333, 9474, 607, 519, 15393, 543, 8028, 607, 519, 5911, 799, 2306, 606, 5086, 540, 476, 14596, 13651, 1109, 5976, 519, 2666, 780, 3891, 697, 540, 519, 15393, 9474, 815, 476, 1015, 544, 692, 13706, 1535, 544, 607, 519, 3259, 540, 5911, 8028, 692, 2171, 917, 602, 692, 7562, 3331, 492, 382, 372, 815, 9474, 270, 3722, 692, 27802, 23082, 519, 2418, 692, 7562, 476, 14596, 13651, 1109, 284, 476, 1015, 24474, 692, 3383, 649, 1205, 692, 272, 270, 5889, 24994, 20795, 273, 815, 476, 1015, 24474, 692, 3528, 3444, 8691, 692, 343, 815, 476, 1015, 5889, 24994, 20795, 273, 815, 476, 1015, 630, 272, 269, 29300, 2020, 343, 815, 476, 1691, 269, 1691, 692, 17798, 267, 519, 3259, 540, 519, 5911, 568, 476, 1691, 269, 1691, 544, 780, 1892, 476, 271, 0, 258, 23990, 543, 10046, 24577, 547, 12433, 25828, 3126, 909, 547, 562, 692, 314, 31696, 21172, 5784, 6540, 2162, 1548, 568, 513, 25828, 10022, 2496, 288, 3126, 540, 2338, 538, 799, 1142, 1297, 568, 519, 2040, 540, 519, 1079, 18631, 610, 3105, 2338, 568, 1572, 25828, 10022, 780, 2690, 1383, 267, 25828, 3126, 15399, 334, 476, 278, 2338, 568, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 563, 1103, 1657, 1383, 267, 1101, 476, 273, 2338, 630, 272, 267, 476, 272, 264, 616, 9102, 2047, 607, 972, 616, 1100, 18631, 2338, 269, 1809, 1310, 602, 267, 1775, 4318, 519, 476, 274, 6113, 1297, 630, 273, 264, 568, 519, 2040, 540, 476, 272, 560, 543, 476, 273, 526, 1297, 630, 272, 266, 272, 284, 273, 1040, 6684, 547, 1205, 476, 275, 628, 1297, 267, 649, 1039, 476, 273, 526, 543, 476, 274, 6113, 1297, 269, 630, 328, 4318, 1421, 476, 272, 266, 273, 284, 274, 1040, 1411, 666, 946, 713, 4806, 547, 1265, 4017, 20906, 3126, 15399, 334, 1022, 1297, 780, 12385, 3012, 673, 4082, 547, 1265, 25828, 1297, 568, 23241, 293, 333, 284, 293, 333, 268, 272, 266, 293, 333, 268, 273, 692, 328, 4318, 269, 1677, 1205, 32671, 2990, 1297, 267, 596, 1058, 1039, 630, 333, 268, 273, 264, 543, 630, 333, 268, 272, 264, 2990, 1297, 780, 2162, 28342, 665, 1712, 585, 25828, 10022, 15399, 334, 562, 2338, 1384, 3721, 476, 272, 281, 3399, 5153, 476, 273, 281, 13207, 732, 4756, 513, 267, 536, 267, 524, 267, 562, 267, 1775, 5153, 476, 274, 281, 19461, 1125, 4756, 513, 284, 271, 267, 536, 284, 272, 543, 1775, 284, 273, 5153, 476, 275, 281, 3367, 562, 689, 3593, 5153, 476, 276, 281, 7179, 513, 543, 536, 5153, 476, 277, 281, 19244, 2394, 1775, 27045, 333, 2433, 5153, 476, 277, 269, 272, 281, 524, 30381, 17070, 5153, 476, 277, 269, 273, 281, 1820, 524, 5153, 476, 277, 269, 274, 281, 513, 284, 321, 267, 536, 284, 322, 5153, 476, 277, 269, 275, 281, 1775, 284, 328, 266, 272, 5153, 476, 278, 281, 17547, 692, 3383, 267, 952, 513, 3593, 2037, 1562, 476, 276, 267, 6533, 562, 284, 276, 2676, 24868, 1963, 513, 543, 536, 616, 3355, 1242, 547, 476, 271, 543, 476, 272, 6606, 269, 769, 5153, 476, 276, 267, 1284, 2047, 1820, 513, 543, 536, 267, 1924, 519, 19243, 11489, 5153, 476, 276, 568, 8894, 271, 476, 272, 692, 1103, 5153, 476, 277, 267, 1871, 540, 834, 328, 257, 568, 476, 273, 607, 519, 1101, 1079, 2338, 630, 271, 267, 476, 272, 264, 616, 2907, 9102, 269, 3767, 585, 1169, 21767, 540, 834, 328, 2580, 649, 1039, 513, 543, 536, 267, 865, 4756, 834, 322, 257, 1631, 3587, 476, 272, 630, 328, 4318, 269, 476, 271, 266, 272, 1040, 3973, 519, 1871, 540, 834, 322, 257, 568, 9102, 269, 1924, 19243, 1631, 3587, 20620, 271, 476, 272, 476, 272, 692, 1103, 5153, 476, 277, 269, 274, 267, 649, 1847, 476, 273, 526, 2063, 1871, 630, 6518, 568, 6740, 538, 4756, 834, 321, 8442, 547, 4756, 834, 320, 257, 543, 2063, 1871, 630, 6518, 568, 6740, 538, 4756, 834, 322, 8442, 547, 536, 269, 1924, 3767, 2676, 320, 284, 272, 267, 536, 284, 272, 692, 1103, 5153, 476, 277, 269, 275, 267, 10025, 540, 834, 328, 257, 568, 1213, 7757, 676, 476, 272, 9217, 4318, 269, 1775, 284, 328, 266, 272, 3738, 543, 21767, 1586, 5170, 2394, 1871, 540, 834, 328, 257, 568, 1447, 982, 3593, 9411, 1297, 834, 333, 6231, 3383, 267, 1280, 1775, 284, 274, 267, 11088, 1739, 3268, 476, 277, 269, 272, 547, 476, 277, 269, 275, 267, 19243, 786, 581, 8894, 271, 476, 272, 476, 272, 476, 273, 692, 3383, 267, 1280, 1775, 284, 275, 267, 11088, 1739, 3268, 476, 277, 269, 272, 547, 476, 277, 269, 275, 267, 19243, 786, 581, 8894, 271, 476, 272, 476, 272, 476, 273, 476, 274, 692, 3383, 267, 1280, 1775, 284, 276, 267, 11088, 1739, 3268, 476, 277, 269, 272, 547, 476, 277, 269, 275, 267, 19243, 786, 581, 8894, 271, 476, 272, 476, 272, 476, 273, 476, 274, 476, 276, 692, 2690, 1775, 284, 277, 267, 2783, 1775, 1447, 982, 562, 3587, 7301, 607, 630, 277, 27045, 276, 264, 568, 7301, 269, 9747, 519, 15937, 19243, 786, 581, 20620, 271, 476, 272, 476, 272, 476, 273, 476, 274, 476, 276, 692, 2162, 2657, 568, 32100, 286, 6744, 7454, 6481, 15928, 585, 596, 281, 7042, 272, 6085, 454, 1892, 607, 604, 692, 14833, 7865, 2095, 24577, 286, 30822, 14255, 546, 924, 607, 1156, 5679, 334, 286, 0, 272, 27761, 273, 303, 6860, 5937, 306, 9539, 4925, 692, 258, 476, 272, 27761, 273, 303, 6860, 5937, 306, 9539, 4925, 910, 22957, 476, 273, 303, 6860, 5254, 288, 23154, 3798, 1243, 543, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 276, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 2894, 294, 12114, 21068, 476, 273, 303, 6860, 5254, 288, 23154, 3798, 1243, 543, 9168, 676, 4144, 2678, 853, 565, 548, 5147, 476, 1001, 271, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 2894, 294, 273, 303, 6860, 476, 273, 454, 2894, 294, 273, 303, 6860, 476, 272, 589, 645, 6020, 9128, 21850, 29767, 9215, 834, 4306, 288, 23154, 257, 901, 1305, 540, 4967, 729, 8385, 5423, 676, 3220, 269, 7585, 590, 1077, 2421, 540, 20996, 7177, 1282, 519, 2038, 476, 3192, 271, 587, 509, 338, 547, 7110, 519, 1837, 676, 7377, 990, 269, 1358, 616, 711, 3102, 855, 1683, 3730, 4282, 269, 1452, 4967, 267, 2059, 609, 519, 15872, 267, 5850, 5049, 543, 10467, 267, 1058, 581, 6190, 547, 1683, 519, 2596, 3741, 540, 519, 1641, 269, 16952, 1570, 593, 6128, 814, 1044, 3773, 267, 607, 1134, 607, 593, 11707, 2035, 689, 519, 11000, 4967, 540, 3220, 269, 25511, 14551, 744, 9545, 553, 269, 898, 568, 10924, 602, 519, 2875, 814, 513, 2596, 1702, 540, 6152, 10789, 543, 11810, 267, 5833, 689, 741, 5426, 594, 6030, 269, 634, 1101, 851, 540, 713, 1576, 786, 4308, 609, 519, 6571, 540, 10321, 267, 6152, 1840, 543, 4466, 519, 25739, 540, 513, 1062, 540, 10321, 269, 1452, 10321, 2099, 7344, 9988, 1572, 4229, 543, 8090, 269, 13878, 26154, 22310, 623, 24359, 8379, 2562, 2752, 22494, 630, 1805, 565, 548, 264, 3213, 15453, 3590, 543, 966, 26662, 4841, 693, 713, 3942, 1058, 581, 5432, 609, 18765, 971, 607, 2837, 543, 5860, 269, 1452, 3800, 666, 581, 4330, 538, 2474, 540, 513, 2582, 1297, 267, 5219, 547, 607, 513, 22185, 7274, 269, 1879, 7231, 609, 18765, 971, 607, 6991, 267, 3196, 610, 12761, 267, 621, 568, 2556, 547, 960, 609, 9424, 5219, 547, 607, 10321, 1547, 589, 6152, 267, 799, 814, 1312, 513, 9588, 543, 4287, 2404, 609, 621, 267, 568, 4830, 540, 513, 11282, 1062, 269, 1717, 267, 952, 835, 16858, 547, 1685, 6209, 9273, 621, 1287, 3587, 2556, 547, 3277, 547, 513, 11282, 1062, 269, 21070, 10035, 2488, 513, 10375, 11741, 1797, 585, 1603, 4834, 1031, 547, 4194, 10465, 29705, 4240, 2042, 269, 9717, 602, 649, 6615, 6000, 547, 513, 31951, 11282, 1062, 267, 649, 666, 5581, 513, 2990, 6152, 678, 538, 513, 1297, 540, 2081, 269, 769, 1279, 1106, 678, 949, 581, 3989, 607, 678, 1535, 328, 586, 329, 1990, 330, 610, 676, 519, 10288, 1305, 630, 1723, 15453, 264, 6041, 12865, 357, 12865, 358, 2073, 267, 1535, 586, 1990, 678, 1141, 519, 1770, 6152, 8846, 1775, 795, 737, 616, 22466, 269, 8074, 602, 12050, 539, 3197, 616, 3006, 1031, 547, 20301, 10321, 630, 528, 14290, 1040, 13804, 3363, 540, 6152, 281, 678, 678, 678, 23880, 15744, 501, 610, 678, 678, 678, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 2894, 294, 273, 303, 6860, 476, 273, 17968, 267, 835, 666, 946, 4994, 630, 528, 2512, 658, 264, 10035, 267, 538, 799, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1279, 2165, 1967, 1510, 15723, 1154, 1898, 7727, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1131, 596, 12189, 519, 2016, 3009, 547, 1450, 585, 3593, 3403, 540, 519, 1870, 3556, 16551, 3079, 540, 2182, 2275, 5317, 873, 286, 5047, 267, 875, 666, 596, 4188, 519, 1982, 547, 5512, 519, 3593, 547, 3403, 2789, 5036, 540, 16551, 267, 4688, 873, 538, 513, 3349, 3898, 543, 1820, 873, 782, 856, 693, 2899, 286, 1280, 3236, 267, 519, 3593, 1058, 581, 2111, 547, 4283, 519, 7516, 267, 1957, 1826, 267, 4395, 8228, 267, 1394, 8228, 267, 5884, 24408, 543, 1820, 2196, 585, 2789, 1870, 6486, 267, 543, 519, 1982, 1058, 3977, 782, 519, 16551, 538, 513, 11295, 3349, 3898, 267, 1141, 1142, 4737, 3568, 519, 16551, 540, 835, 1870, 3556, 563, 2414, 1450, 585, 3593, 3403, 540, 519, 1870, 3556, 16551, 267, 649, 666, 946, 519, 2387, 6358, 13237, 1599, 547, 5401, 519, 3593, 547, 4283, 519, 2838, 1344, 269, 1280, 1383, 267, 649, 666, 5401, 519, 3593, 547, 4283, 519, 3556, 7516, 607, 5205, 1384, 3499, 7090, 454, 15258, 5091, 574, 5014, 815, 3403, 2891, 11767, 519, 3556, 7516, 630, 324, 3052, 269, 1412, 274, 269, 276, 1535, 476, 273, 6279, 262, 2567, 19515, 7884, 20118, 267, 649, 666, 5401, 519, 3593, 547, 4283, 519, 824, 16551, 971, 607, 1957, 1826, 2223, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3427, 540, 2657, 7010, 543, 5398, 2657, 693, 519, 2160, 540, 23239, 18319, 267, 3162, 4000, 267, 7074, 13974, 602, 14959, 1281, 711, 4867, 968, 4067, 543, 17847, 892, 2477, 585, 711, 19142, 610, 3731, 4328, 594, 16281, 267, 610, 1491, 1022, 1483, 2962, 1996, 2477, 602, 3111, 547, 16783, 609, 519, 6042, 267, 799, 2115, 547, 1689, 563, 298, 574, 4252, 540, 932, 987, 600, 5600, 6376, 539, 602, 2477, 616, 711, 2016, 7850, 10512, 5583, 827, 875, 547, 3035, 594, 16281, 4295, 19206, 269, 3733, 619, 540, 18842, 651, 325, 11839, 7074, 602, 519, 23857, 585, 8236, 10220, 1058, 581, 13865, 547, 1142, 2197, 267, 2921, 883, 7156, 519, 2200, 2139, 547, 1489, 519, 4759, 1533, 779, 10220, 269, 2755, 972, 616, 8766, 4170, 547, 2936, 594, 16281, 267, 2197, 23506, 538, 7207, 666, 1711, 1114, 7648, 267, 2495, 602, 519, 15977, 1949, 585, 8047, 4390, 267, 1981, 2146, 267, 13178, 267, 543, 6595, 4238, 7740, 666, 581, 3743, 585, 2197, 10391, 3604, 538, 12557, 543, 4977, 3210, 269, 28792, 2274, 2426, 267, 25760, 267, 9149, 18087, 1744, 532, 20513, 540, 6925, 267, 634, 2160, 540, 15173, 15158, 267, 6700, 7598, 513, 1982, 540, 9263, 4879, 676, 513, 3084, 267, 796, 3530, 559, 7007, 2319, 540, 2930, 4966, 14376, 538, 547, 1683, 606, 4879, 1210, 513, 6024, 2298, 6454, 1935, 269, 1261, 2417, 6069, 1818, 24722, 4886, 22707, 630, 302, 6395, 994, 272, 1261, 7074, 602, 14959, 814, 1305, 909, 513, 1007, 12233, 547, 1413, 883, 1818, 594, 16281, 811, 2500, 563, 935, 1154, 550, 593, 14468, 594, 16281, 15984, 269, 1261, 7074, 602, 968, 32662, 1881, 892, 568, 1883, 538, 713, 2796, 267, 1317, 972, 616, 930, 2477, 4171, 1582, 2275, 1068, 1881, 10220, 1281, 711, 2965, 15666, 547, 519, 3964, 4441, 563, 288, 10003, 14090, 585, 594, 16281, 28597, 888, 7628, 835, 540, 519, 8470, 5717, 267, 6424, 674, 7867, 267, 25731, 328, 6048, 267, 17073, 15863, 543, 18401, 25032, 267, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 267, 6659, 519, 7872, 540, 513, 968, 5802, 14090, 892, 547, 3035, 594, 16281, 4295, 19206, 267, 799, 1522, 1331, 513, 2197, 10391, 4879, 540, 519, 23250, 543, 4170, 585, 10220, 269, 1261, 6045, 602, 835, 5057, 540, 594, 16281, 568, 602, 922, 3853, 616, 12913, 538, 1554, 3562, 6377, 1949, 267, 865, 7616, 3255, 991, 547, 2097, 609, 519, 5583, 543, 2417, 1489, 269, 13690, 4252, 14452, 602, 519, 19206, 616, 2596, 7400, 543, 941, 8185, 7858, 7007, 1310, 519, 4049, 8650, 7929, 6794, 630, 306, 12678, 264, 12176, 1354, 594, 16281, 3731, 2305, 538, 476, 1220, 276, 267, 855, 14959, 10512, 1382, 2645, 723, 711, 1044, 7318, 4628, 543, 2883, 1382, 1869, 2115, 547, 581, 5342, 593, 513, 2197, 3562, 28029, 787, 4493, 269, 2701, 6376, 539, 602, 3646, 547, 2327, 543, 7520, 594, 16281, 15984, 723, 3976, 2484, 5097, 1044, 9141, 676, 2518, 5718, 267, 543, 1352, 9415, 2199, 5718, 547, 1491, 513, 811, 3742, 1909, 538, 14957, 585, 10220, 269, 5221, 540, 519, 2956, 540, 7598, 594, 16281, 19206, 607, 4867, 3964, 630, 663, 1022, 2417, 23616, 2827, 602, 616, 8815, 547, 1070, 1352, 6700, 1821, 2358, 513, 2883, 31387, 585, 594, 16281, 543, 8716, 2477, 547, 2226, 519, 3106, 789, 1683, 585, 519, 4324, 540, 741, 1378, 5095, 269, 1520, 514, 1195, 328, 267, 540, 519, 4139, 18966, 540, 4414, 9061, 543, 4414, 595, 29266, 5081, 7724, 630, 9281, 13612, 1070, 598, 2017, 1042, 602, 5373, 513, 31387, 568, 513, 1360, 1271, 1101, 1900, 269, 3245, 519, 4414, 9061, 5133, 267, 1310, 24954, 3644, 2068, 630, 292, 13748, 1070, 972, 729, 6876, 547, 1489, 9568, 3210, 543, 594, 16281, 10220, 538, 519, 3979, 3148, 269, 2806, 320, 28564, 559, 1656, 600, 267, 19168, 9142, 540, 8551, 543, 7070, 267, 733, 2105, 602, 594, 16281, 3322, 3609, 15670, 281, 8726, 519, 6708, 540, 519, 2200, 602, 7426, 543, 3173, 2119, 547, 1902, 267, 3609, 15670, 1590, 960, 9875, 547, 2327, 10220, 269, 2701, 6700, 5859, 532, 547, 4497, 14761, 543, 519, 2923, 585, 1489, 563, 763, 991, 585, 5718, 547, 811, 3927, 12403, 731, 543, 4383, 20033, 7616, 729, 12006, 2429, 5717, 269, 3509, 5171, 6045, 875, 9591, 1279, 3856, 267, 4264, 14104, 3435, 568, 513, 1883, 851, 540, 10970, 11868, 1279, 3856, 13829, 593, 20033, 7616, 543, 3001, 2476, 689, 519, 20033, 30928, 14305, 540, 2200, 269, 1358, 6700, 602, 6038, 267, 2477, 1058, 581, 2111, 547, 1582, 15696, 3634, 543, 20894, 741, 1949, 267, 543, 547, 2226, 12477, 547, 2933, 267, 519, 1004, 267, 543, 454, 514, 4034, 539, 8639, 269, 700, 6759, 19649, 5025, 30501, 29823, 11130, 602, 1072, 14104, 1058, 581, 968, 24610, 6738, 2223, 543, 602, 519, 7061, 540, 1072, 18820, 6927, 267, 15663, 602, 972, 568, 513, 1699, 936, 516, 18910, 593, 856, 6361, 1790, 12714, 24723, 269, 1261, 849, 7074, 602, 972, 568, 1360, 2370, 12477, 543, 5007, 22987, 540, 1434, 20033, 2853, 538, 2474, 540, 2500, 1949, 14304, 269, 2368, 540, 519, 5867, 602, 723, 1044, 2813, 538, 2487, 1296, 616, 1869, 5665, 693, 513, 1360, 12497, 1377, 267, 1510, 3478, 1524, 883, 519, 2556, 30704, 640, 547, 1491, 2962, 563, 298, 574, 4252, 4330, 875, 20033, 7616, 666, 2887, 883, 513, 15972, 540, 18417, 16550, 2197, 21341, 282, 547, 2232, 713, 267, 972, 2115, 547, 581, 513, 24826, 540, 1983, 543, 2200, 547, 538, 28029, 787, 9520, 543, 5171, 269, 674, 7867, 6700, 602, 22881, 1058, 2119, 547, 2057, 27510, 3292, 282, 2864, 267, 789, 1058, 960, 547, 7794, 543, 2087, 593, 4540, 2200, 269, 23580, 1922, 9760, 273, 540, 20033, 7616, 729, 1776, 6161, 6659, 676, 930, 5171, 269, 1280, 3236, 267, 8751, 9461, 6376, 539, 602, 538, 930, 2665, 267, 519, 575, 1853, 2965, 2640, 811, 982, 519, 17513, 538, 20033, 3347, 543, 519, 7887, 1829, 18503, 538, 1062, 2679, 568, 1419, 519, 20033, 269, 7102, 836, 933, 11911, 519, 3668, 540, 1898, 5989, 20671, 538, 930, 2477, 547, 22881, 3246, 2724, 602, 1223, 711, 581, 1031, 585, 5989, 610, 1022, 3483, 824, 982, 519, 20033, 779, 6074, 835, 281, 968, 321, 1122, 326, 1513, 3112, 581, 1781, 657, 619, 267, 543, 865, 1346, 581, 21794, 585, 7482, 4827, 543, 18846, 547, 519, 627, 15501, 540, 1346, 4758, 519, 7482, 1848, 901, 2164, 538, 26610, 602, 896, 25797, 8880, 1062, 3613, 21880, 28517, 3646, 269, 13690, 4252, 7074, 602, 519, 1523, 540, 513, 968, 13892, 540, 7881, 892, 585, 22881, 1185, 7153, 1282, 1896, 7391, 269, 634, 4316, 1131, 1450, 519, 20033, 2146, 547, 1831, 851, 540, 519, 1184, 540, 24569, 1072, 1949, 538, 519, 17685, 5142, 529, 1974, 2864, 982, 7700, 547, 26610, 267, 543, 519, 1582, 29027, 2115, 540, 4213, 666, 581, 4547, 547, 1769, 6619, 540, 513, 9568, 563, 288, 1906, 5171, 1572, 585, 5718, 547, 1683, 1732, 5583, 547, 22881, 547, 8756, 7482, 547, 1141, 789, 616, 1034, 2877, 282, 7616, 1058, 1445, 5097, 593, 1857, 1072, 14422, 543, 5989, 267, 711, 519, 968, 655, 1120, 1890, 2068, 540, 519, 1554, 1848, 1306, 606, 1383, 267, 5682, 965, 540, 12370, 3427, 540, 5398, 2657, 7074, 602, 1247, 1004, 616, 12955, 540, 12601, 291, 538, 23683, 2274, 821, 267, 1453, 896, 476, 276, 1296, 540, 2085, 616, 849, 12955, 540, 11591, 515, 531, 10108, 267, 799, 786, 3136, 1310, 519, 12601, 291, 12176, 568, 936, 269, 1261, 9415, 2229, 543, 5718, 547, 13599, 22881, 827, 7616, 14305, 14422, 1247, 849, 20678, 585, 11413, 543, 22371, 269, 918, 18602, 21220, 3019, 528, 8862, 650, 3554, 338, 267, 13636, 10615, 540, 2657, 6796, 585, 519, 16592, 5101, 16323, 540, 19168, 267, 12006, 519, 991, 585, 513, 17565, 6521, 538, 519, 2631, 602, 22881, 1058, 1683, 2508, 8894, 273, 589, 8258, 20545, 568, 513, 4027, 2861, 4483, 540, 7482, 689, 835, 2272, 547, 1776, 282, 621, 568, 1419, 1031, 547, 5094, 7221, 689, 606, 2272, 543, 2149, 873, 1996, 1978, 9993, 267, 610, 547, 2539, 3454, 4539, 593, 519, 7221, 269, 6423, 811, 693, 5291, 2517, 2716, 6625, 269, 1111, 2593, 20081, 1069, 286, 3410, 284, 2590, 1922, 775, 630, 17739, 539, 5239, 476, 736, 267, 476, 1001, 276, 1916, 532, 547, 3384, 2477, 1256, 1282, 954, 2275, 5142, 529, 5712, 267, 547, 948, 1346, 2477, 2087, 741, 1072, 1949, 1256, 950, 972, 568, 1100, 31873, 12176, 1459, 269, 8834, 19681, 696, 5674, 267, 31692, 1639, 26831, 543, 5518, 9622, 7978, 267, 674, 26980, 476, 11740, 267, 14593, 585, 6236, 606, 3606, 1072, 2533, 3454, 267, 610, 966, 2969, 267, 538, 1840, 547, 1169, 14102, 7299, 1982, 630, 324, 3052, 1421, 31331, 264, 610, 1022, 2724, 13991, 547, 5355, 1175, 835, 851, 540, 519, 5989, 269, 6270, 513, 3454, 1131, 2327, 602, 519, 1964, 540, 519, 1062, 568, 9738, 607, 1134, 563, 15973, 21899, 543, 2598, 20759, 908, 6176, 454, 3080, 540, 519, 3119, 9021, 540, 5718, 543, 2359, 4857, 676, 1896, 5171, 568, 519, 1795, 10949, 540, 2312, 543, 1930, 2792, 1851, 782, 4891, 267, 7426, 267, 543, 519, 2146, 12544, 22973, 1072, 1062, 568, 711, 2009, 1510, 4687, 1344, 269, 9442, 10616, 1063, 1416, 7426, 267, 2550, 267, 741, 3885, 267, 2229, 8387, 267, 1857, 1072, 8387, 267, 543, 519, 2146, 616, 1455, 269, 12861, 5483, 543, 6213, 2792, 9055, 547, 2197, 3401, 543, 14761, 666, 581, 1175, 607, 1271, 607, 14379, 1344, 547, 519, 1857, 269, 7102, 836, 933, 7074, 602, 782, 8639, 1058, 4309, 519, 1344, 789, 991, 538, 513, 12905, 543, 12001, 1259, 269, 5682, 965, 6376, 539, 602, 1062, 15059, 693, 519, 2199, 1377, 4386, 950, 972, 568, 513, 3668, 540, 1079, 17574, 2792, 267, 585, 3236, 267, 950, 2199, 8387, 798, 711, 4309, 519, 1344, 789, 991, 689, 2362, 2157, 540, 2229, 269, 1261, 6700, 602, 3347, 267, 2078, 2679, 267, 543, 824, 3029, 540, 2792, 1063, 1114, 8041, 543, 2157, 540, 3210, 616, 2629, 1317, 789, 666, 1683, 2110, 3856, 3435, 547, 1072, 1949, 4145, 1354, 6236, 1279, 3856, 1689, 563, 3080, 540, 519, 3584, 8268, 729, 519, 1646, 540, 2110, 19985, 5420, 19985, 543, 1279, 3856, 2792, 4566, 547, 2232, 519, 991, 585, 13455, 267, 20291, 267, 543, 6024, 2792, 1063, 1072, 1416, 7426, 543, 519, 2551, 693, 519, 3084, 267, 6237, 267, 543, 2199, 2157, 602, 568, 9738, 1282, 543, 1063, 18002, 269, 19681, 696, 5674, 4481, 1572, 585, 519, 946, 540, 1514, 2923, 585, 2500, 23793, 269, 13038, 5171, 2429, 519, 13186, 16079, 539, 713, 4640, 267, 538, 1840, 547, 2857, 2056, 519, 946, 540, 2110, 5048, 3028, 630, 306, 5960, 264, 25887, 547, 5838, 513, 2039, 540, 1072, 5829, 6835, 267, 2523, 538, 3384, 2477, 1141, 590, 5960, 25887, 666, 581, 513, 3119, 1505, 585, 5048, 23425, 269, 1656, 600, 543, 824, 5171, 849, 7074, 602, 6608, 1419, 3111, 547, 18113, 2308, 519, 2923, 607, 513, 2792, 1907, 269, 21909, 687, 585, 2502, 519, 2923, 1331, 2348, 7928, 11401, 543, 2866, 827, 875, 547, 1867, 593, 17061, 267, 543, 513, 2489, 4640, 540, 8108, 2673, 13218, 609, 519, 2923, 547, 968, 1962, 532, 873, 593, 4604, 892, 543, 948, 547, 2569, 519, 2179, 540, 7301, 1344, 10825, 563, 28490, 649, 2911, 827, 6043, 267, 621, 3884, 1406, 1945, 602, 666, 2291, 538, 513, 3623, 334, 538, 513, 2582, 1062, 538, 519, 1072, 1062, 269, 1403, 596, 2731, 1616, 547, 2911, 827, 6043, 621, 3340, 3646, 540, 782, 519, 2486, 269, 1924, 602, 779, 711, 1175, 519, 1533, 5823, 282, 621, 849, 1360, 1454, 2115, 519, 9295, 540, 519, 4357, 5823, 543, 3540, 2486, 267, 855, 621, 849, 2115, 721, 547, 1589, 3564, 519, 1072, 5823, 547, 519, 9295, 540, 824, 9922, 982, 1072, 269, 1656, 1419, 538, 519, 1072, 5823, 5310, 649, 896, 2452, 602, 9295, 269, 1280, 1932, 1082, 1004, 1072, 1175, 11224, 1072, 1416, 269, 2657, 1416, 568, 1360, 1271, 267, 855, 1072, 1416, 3294, 666, 1406, 581, 9447, 1510, 519, 9295, 540, 824, 9922, 3034, 1765, 298, 3861, 534, 681, 553, 534, 11936, 267, 18947, 2657, 28154, 267, 6167, 32019, 454, 7628, 5717, 593, 3444, 5498, 2758, 6278, 538, 2679, 1949, 547, 1489, 1072, 267, 5171, 941, 4280, 547, 2697, 543, 4497, 519, 3376, 5044, 540, 8639, 17364, 2789, 9922, 281, 1857, 1072, 282, 1072, 1416, 282, 2790, 1072, 282, 27013, 543, 3540, 7239, 282, 519, 1870, 543, 4357, 9922, 282, 543, 2950, 269, 17564, 10704, 593, 4466, 2081, 547, 3927, 11753, 782, 9922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2690, 713, 7084, 267, 594, 723, 5697, 4781, 589, 281, 589, 6404, 22874, 1362, 540, 28465, 840, 2987, 23059, 476, 1724, 543, 476, 1691, 4458, 29419, 593, 513, 2110, 9702, 1576, 538, 606, 2296, 6340, 2197, 269, 630, 4753, 15709, 5426, 589, 273, 1070, 543, 723, 4956, 602, 519, 1362, 616, 593, 9702, 538, 4789, 269, 594, 11221, 547, 3442, 713, 1362, 1317, 621, 1034, 5702, 20383, 609, 519, 2186, 540, 1053, 594, 1131, 899, 547, 4001, 538, 519, 2104, 269, 2690, 1250, 8076, 1257, 267, 594, 723, 5697, 513, 9235, 6978, 2280, 585, 519, 513, 701, 543, 24564, 25113, 3933, 4486, 2622, 267, 607, 9683, 4025, 899, 713, 568, 1945, 519, 1053, 616, 2693, 547, 798, 1247, 593, 9702, 538, 519, 2197, 269, 634, 6863, 538, 519, 6978, 2280, 568, 5097, 589, 272, 543, 589, 273, 1377, 269, 901, 1797, 519, 1053, 786, 723, 513, 10257, 8223, 540, 519, 1257, 693, 1101, 16145, 269, 634, 1985, 5207, 5834, 540, 6863, 568, 645, 272, 1377, 267, 799, 1797, 2949, 519, 1257, 1131, 711, 581, 3648, 1657, 519, 1053, 685, 1699, 1377, 269, 634, 1034, 4101, 851, 540, 519, 1257, 1131, 581, 519, 2262, 2048, 21492, 685, 607, 713, 568, 595, 273, 1377, 267, 543, 3884, 1406, 1945, 789, 616, 2693, 547, 723, 2097, 2066, 1354, 269, 1717, 267, 713, 1223, 3362, 581, 840, 6026, 1765, 520, 922, 14724, 607, 513, 1804, 2268, 540, 2244, 267, 610, 998, 16198, 547, 811, 4122, 1031, 2244, 7403, 971, 607, 15432, 543, 5195, 269, 5475, 5402, 19003, 519, 1257, 585, 6863, 602, 1053, 1522, 581, 14542, 609, 267, 594, 723, 7522, 539, 519, 1592, 1524, 547, 519, 1739, 282, 6057, 267, 796, 11499, 267, 13155, 267, 1159, 10212, 1782, 267, 23505, 267, 543, 14317, 269, 4595, 519, 1053, 616, 5266, 1970, 1377, 267, 594, 1131, 1118, 946, 540, 1543, 3617, 2592, 585, 519, 840, 4001, 3942, 269, 1280, 1383, 267, 585, 6057, 835, 1223, 946, 606, 3239, 540, 513, 3440, 539, 31329, 267, 543, 585, 23505, 835, 1223, 946, 606, 3239, 540, 513, 1804, 1930, 2230, 267, 971, 607, 519, 12406, 540, 513, 1804, 10040, 269, 623, 8529, 609, 891, 2592, 594, 1131, 849, 1118, 946, 540, 513, 6863, 12805, 3635, 269, 901, 568, 606, 2500, 1797, 540, 840, 3450, 2362, 1377, 6863, 607, 621, 2306, 519, 1053, 1589, 827, 519, 1913, 789, 723, 1044, 4843, 609, 543, 17429, 576, 741, 1378, 8753, 2864, 982, 1175, 1373, 5143, 519, 8847, 267, 3976, 3850, 873, 547, 1732, 11677, 519, 1344, 269, 9824, 908, 547, 1250, 6074, 8076, 1257, 267, 519, 2949, 6249, 540, 713, 3992, 1131, 581, 9702, 2238, 269, 4635, 713, 6249, 267, 1739, 519, 3044, 4542, 585, 513, 1983, 3992, 971, 607, 713, 267, 1250, 15911, 1131, 4125, 2348, 1053, 1592, 607, 513, 1362, 519, 1585, 2238, 789, 723, 3144, 851, 538, 593, 1022, 3105, 14812, 269, 1280, 1053, 602, 10093, 1406, 1185, 519, 4316, 547, 979, 593, 9702, 1354, 267, 519, 2534, 666, 581, 9168, 547, 1331, 2238, 789, 1131, 899, 547, 798, 593, 9702, 269, 1306, 513, 1291, 538, 547, 519, 2542, 3635, 267, 621, 1131, 581, 6225, 547, 29360, 9683, 513, 23291, 607, 513, 3210, 267, 855, 621, 568, 711, 1898, 547, 519, 3992, 269, 1635, 1666, 532, 519, 3992, 593, 9702, 2238, 543, 9591, 713, 2038, 593, 267, 1053, 786, 581, 2111, 547, 3533, 1174, 602, 519, 1641, 2339, 568, 4143, 547, 741, 1699, 3510, 267, 607, 1134, 607, 1373, 10858, 585, 2104, 3255, 547, 3643, 2296, 6340, 2477, 269, 898, 849, 4991, 519, 1053, 6158, 267, 3850, 585, 930, 3908, 6340, 2259, 1991, 547, 519, 1292, 4305, 269, 2026, 5892, 5018, 267, 519, 840, 4001, 3942, 1131, 581, 5342, 3842, 513, 12805, 3635, 269, 901, 568, 6225, 547, 713, 1880, 1362, 607, 789, 616, 2693, 547, 6336, 1719, 3533, 952, 789, 616, 1373, 7898, 3293, 593, 8847, 543, 16166, 269, 1635, 3351, 2358, 513, 11461, 6602, 1935, 267, 621, 3947, 519, 1053, 513, 2631, 540, 6015, 267, 607, 621, 2636, 873, 547, 17429, 576, 585, 2933, 2864, 982, 3274, 581, 5143, 519, 4267, 269, 898, 1131, 849, 6961, 6225, 547, 1118, 519, 12805, 3635, 513, 8424, 610, 1507, 2516, 2534, 267, 607, 621, 2636, 1053, 547, 960, 1927, 799, 666, 948, 21260, 1053, 3079, 540, 6028, 873, 4743, 899, 789, 2461, 1373, 2451, 3297, 610, 1447, 9952, 982, 741, 9905, 269, 2690, 519, 1292, 3942, 540, 519, 3992, 267, 519, 2542, 8223, 1131, 581, 7745, 1524, 883, 1079, 6810, 282, 513, 1236, 21148, 3635, 543, 513, 17655, 3635, 269, 1280, 519, 1236, 21148, 3635, 267, 1053, 1131, 581, 2838, 547, 2697, 519, 2470, 543, 3483, 540, 519, 8076, 1257, 24568, 713, 3236, 267, 513, 15805, 1344, 6978, 2280, 609, 519, 3483, 540, 10229, 519, 25113, 547, 17053, 8436, 269, 901, 1131, 2708, 2436, 1053, 616, 2111, 547, 1174, 519, 2489, 2495, 540, 519, 8076, 1257, 4843, 547, 873, 269, 1280, 519, 17655, 3635, 267, 1053, 1131, 581, 4843, 609, 513, 3126, 540, 2055, 267, 519, 4267, 547, 799, 666, 581, 1336, 1369, 519, 1257, 269, 4635, 519, 8076, 1257, 594, 723, 6074, 267, 930, 1383, 2055, 1223, 581, 281, 875, 1082, 14143, 568, 3933, 4486, 2622, 29845, 950, 729, 3933, 4486, 2622, 8547, 29845, 1018, 942, 616, 519, 1183, 4177, 779, 12909, 29845, 543, 875, 1082, 2010, 540, 929, 1493, 666, 581, 1336, 693, 3933, 4486, 2622, 27085, 1452, 2055, 616, 16922, 5097, 540, 589, 272, 543, 589, 273, 6863, 267, 609, 1152, 2185, 1913, 1373, 645, 272, 610, 1657, 267, 2495, 519, 1053, 786, 581, 2111, 547, 3362, 1174, 873, 543, 1445, 593, 17655, 519, 1257, 3079, 540, 3843, 547, 1118, 2631, 540, 519, 2055, 15054, 547, 873, 9950, 778, 3942, 814, 519, 4316, 585, 5955, 7886, 267, 952, 789, 616, 2838, 267, 1498, 693, 713, 1377, 789, 2693, 9327, 1406, 581, 3226, 1279, 267, 543, 1131, 6140, 581, 1523, 10992, 2055, 269, 634, 5354, 540, 519, 5955, 2838, 585, 713, 1880, 3992, 1131, 2097, 689, 519, 1246, 593, 2259, 2238, 269, 4595, 519, 1445, 540, 519, 3992, 729, 513, 2542, 1983, 3992, 267, 594, 1745, 602, 519, 1053, 1131, 1034, 4324, 689, 513, 1603, 2259, 2534, 2059, 609, 513, 6340, 2534, 267, 607, 789, 786, 581, 1210, 519, 1702, 789, 6591, 689, 741, 32615, 8223, 547, 2259, 741, 11327, 1983, 269, 3414, 713, 4999, 540, 32615, 543, 11327, 267, 621, 568, 1250, 3661, 602, 519, 6863, 791, 14975, 593, 873, 786, 581, 1732, 17477, 543, 786, 1745, 811, 2067, 547, 873, 269, 0, 763, 1985, 8717, 585, 3127, 786, 581, 1629, 25140, 1713, 269, 1403, 649, 8661, 519, 4332, 540, 519, 5479, 628, 4095, 538, 476, 1220, 271, 267, 649, 786, 8661, 519, 4332, 540, 513, 1126, 538, 519, 1985, 8717, 602, 786, 948, 3127, 16765, 820, 3624, 607, 519, 1158, 781, 1034, 29245, 2197, 269, 634, 2197, 540, 21919, 553, 583, 571, 786, 6368, 29379, 922, 12543, 262, 2909, 21794, 2924, 543, 713, 5172, 8360, 267, 519, 1158, 781, 6574, 9111, 267, 786, 581, 8719, 676, 513, 12863, 2197, 538, 519, 1158, 781, 4102, 563, 8133, 267, 3127, 814, 7307, 547, 3142, 513, 5479, 1004, 547, 938, 4541, 2094, 476, 3707, 278, 267, 543, 2687, 547, 1034, 23004, 267, 922, 2551, 568, 4397, 547, 24644, 543, 3914, 936, 476, 272, 269, 276, 5479, 1310, 513, 1906, 811, 5756, 269, 901, 2208, 568, 1813, 547, 519, 4028, 7771, 538, 9019, 543, 513, 3500, 7771, 538, 12680, 609, 1713, 6237, 3604, 269, 634, 5045, 568, 811, 4359, 1629, 25140, 982, 519, 25013, 7187, 554, 5793, 1633, 630, 289, 8811, 541, 267, 808, 327, 1046, 8518, 267, 31579, 541, 21423, 267, 14076, 553, 22474, 267, 8496, 27256, 21423, 543, 932, 1002, 26385, 3258, 327, 264, 609, 2539, 4332, 3928, 543, 18867, 2539, 2551, 2208, 3928, 269, 1677, 1294, 875, 10565, 713, 3017, 568, 267, 519, 3328, 2085, 538, 7013, 3127, 267, 693, 1472, 476, 1789, 267, 568, 3592, 476, 1015, 1296, 2362, 982, 538, 519, 25013, 5087, 269, 589, 1463, 12343, 540, 713, 15295, 630, 663, 2804, 264, 3017, 568, 519, 2810, 5087, 1606, 1926, 9194, 8928, 267, 799, 723, 5063, 1044, 4857, 676, 1629, 20802, 269, 634, 13230, 1114, 10118, 616, 1631, 1804, 2614, 547, 7753, 1893, 7496, 23986, 731, 538, 7391, 676, 4437, 327, 926, 4600, 945, 3717, 20474, 31402, 538, 7013, 24873, 4610, 269, 3683, 519, 1985, 4557, 1296, 267, 891, 27436, 8928, 786, 2333, 543, 519, 3395, 3747, 585, 4027, 1143, 538, 519, 9036, 1996, 954, 32744, 20404, 1590, 581, 6854, 538, 2638, 585, 3127, 547, 8853, 563, 4913, 267, 5087, 1606, 1926, 9194, 8928, 786, 711, 581, 8101, 2614, 547, 1689, 519, 4909, 15295, 3017, 538, 12680, 3928, 267, 799, 814, 4957, 543, 5170, 547, 1689, 519, 6237, 3666, 540, 519, 4095, 2551, 269, 901, 568, 540, 1390, 2797, 2956, 607, 519, 1699, 19068, 593, 700, 758, 17939, 3873, 781, 6237, 16295, 2115, 547, 581, 15428, 1759, 593, 519, 476, 3192, 272, 14829, 538, 476, 1708, 277, 269, 901, 19068, 568, 1271, 865, 602, 2829, 602, 1852, 2551, 2208, 1134, 616, 711, 27052, 609, 1447, 25931, 6041, 269, 769, 476, 1220, 272, 267, 2797, 6105, 2066, 519, 8552, 20366, 547, 8831, 19068, 676, 476, 1839, 1296, 269, 16593, 2685, 267, 971, 22964, 3901, 1143, 543, 5813, 786, 7173, 841, 5103, 519, 11999, 4655, 540, 4690, 1063, 519, 6105, 269, 589, 2847, 6327, 540, 519, 10160, 7333, 1131, 1291, 547, 513, 2347, 15059, 540, 5313, 1894, 269, 1403, 16642, 5313, 1143, 814, 1044, 513, 1883, 3390, 538, 519, 2250, 8717, 267, 15295, 5313, 1143, 786, 581, 606, 1271, 3390, 538, 519, 1985, 8717, 563, 26877, 755, 1674, 676, 18000, 332, 1195, 932, 752, 4599, 677, 344, 454, 5194, 1888, 540, 1164, 10083, 568, 519, 595, 8150, 9539, 13612, 9539, 11266, 7521, 269, 4706, 10700, 6364, 1223, 1860, 519, 4015, 540, 14829, 7194, 585, 476, 1708, 272, 269, 769, 519, 2250, 267, 519, 3540, 27136, 17171, 3350, 814, 6766, 519, 476, 4350, 272, 14829, 267, 1875, 18396, 7774, 543, 2112, 267, 519, 476, 3707, 272, 14829, 267, 543, 519, 19727, 602, 2667, 600, 543, 808, 2459, 340, 543, 22758, 31360, 689, 519, 476, 2735, 272, 543, 476, 1960, 272, 18594, 4926, 267, 6606, 269, 16593, 2685, 519, 476, 1708, 272, 14829, 786, 581, 5342, 5781, 543, 4566, 585, 606, 715, 13612, 2066, 3127, 786, 581, 15653, 563, 19328, 781, 11776, 2557, 568, 2693, 547, 3136, 547, 7771, 607, 15231, 2477, 3136, 547, 4129, 1518, 741, 4914, 18353, 2476, 689, 3127, 269, 13595, 547, 2009, 2916, 5829, 2527, 4955, 5928, 267, 16273, 781, 900, 12568, 547, 3127, 568, 2693, 547, 6175, 2417, 607, 519, 2197, 781, 19773, 10607, 269, 13689, 593, 519, 2804, 3510, 538, 3127, 267, 519, 1507, 8945, 548, 540, 3864, 543, 1977, 9952, 4600, 666, 14556, 1518, 269, 31035, 689, 513, 31705, 3210, 267, 3127, 781, 900, 12568, 547, 2342, 267, 4516, 267, 5245, 267, 519, 2136, 2276, 543, 519, 13323, 568, 2693, 547, 3136, 267, 6117, 519, 5993, 1121, 8636, 766, 2095, 547, 3127, 547, 936, 1269, 476, 1911, 5479, 563, 19328, 786, 3136, 547, 4683, 1125, 936, 519, 1985, 8717, 267, 607, 538, 3105, 5756, 267, 5103, 2810, 4835, 9194, 1813, 547, 513, 4909, 15295, 27754, 1063, 519, 2067, 2208, 3928, 538, 6917, 543, 4683, 2127, 269, 3127, 786, 581, 835, 540, 519, 1906, 2101, 2477, 538, 519, 1158, 538, 476, 10711, 271, 1141, 519, 5354, 540, 922, 2551, 1869, 2729, 538, 6917, 2127, 269, 17510, 3928, 538, 4683, 2127, 616, 9991, 3379, 547, 6917, 2127, 267, 2523, 538, 519, 25013, 6917, 7187, 554, 5793, 1633, 269, 28791, 972, 568, 8101, 5092, 538, 2069, 267, 1072, 543, 2799, 6694, 7607, 538, 519, 25013, 5087, 267, 20012, 786, 3136, 547, 581, 14887, 982, 538, 519, 5045, 1813, 547, 15295, 3604, 1063, 2197, 543, 2749, 269, 8616, 3127, 781, 11999, 2551, 1797, 602, 1256, 609, 513, 5266, 1970, 20012, 2557, 267, 519, 2749, 781, 2551, 786, 9765, 3368, 513, 5479, 1004, 267, 811, 982, 519, 3003, 2475, 2551, 269, 27814, 267, 713, 1058, 1847, 2749, 15024, 547, 519, 1283, 540, 519, 2797, 16786, 267, 3226, 2749, 7245, 15024, 267, 543, 2285, 2749, 6608, 3152, 13190, 538, 7616, 543, 8647, 269, 634, 476, 1001, 272, 14829, 1336, 602, 4683, 3562, 268, 18076, 9194, 729, 607, 1713, 607, 6917, 3562, 268, 18076, 9194, 267, 543, 713, 7678, 568, 2693, 547, 3136, 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 ]